%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : ALG219+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:11:50 AM UTC 2026
% Result : Theorem 199.64s 200.10s
% Output : Proof 199.95s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('SET007+0.ax',antisymmetry_r2_hidden) ).
fof(t1_tarski,axiom,
$true,
file('SET007+1.ax',t1_tarski) ).
fof(t2_tarski,axiom,
! [A,B] :
( ! [C] :
( r2_hidden(C,A)
<=> r2_hidden(C,B) )
=> A = B ),
file('SET007+1.ax',t2_tarski) ).
fof(d1_tarski,axiom,
! [A,B] :
( B = k1_tarski(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> C = A ) ),
file('SET007+1.ax',d1_tarski) ).
fof(d2_tarski,axiom,
! [A,B,C] :
( C = k2_tarski(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( D = B
| D = A ) ) ),
file('SET007+1.ax',d2_tarski) ).
fof(t3_tarski,axiom,
$true,
file('SET007+1.ax',t3_tarski) ).
fof(t4_tarski,axiom,
$true,
file('SET007+1.ax',t4_tarski) ).
fof(d3_tarski,axiom,
! [A,B] :
( r1_tarski(A,B)
<=> ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
file('SET007+1.ax',d3_tarski) ).
fof(d4_tarski,axiom,
! [A,B] :
( B = k3_tarski(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(D,A)
& r2_hidden(C,D) ) ) ),
file('SET007+1.ax',d4_tarski) ).
fof(t5_tarski,axiom,
$true,
file('SET007+1.ax',t5_tarski) ).
fof(t6_tarski,axiom,
$true,
file('SET007+1.ax',t6_tarski) ).
fof(t7_tarski,axiom,
! [A,B] :
~ ( ! [C] :
~ ( ! [D] :
~ ( r2_hidden(D,C)
& r2_hidden(D,B) )
& r2_hidden(C,B) )
& r2_hidden(A,B) ),
file('SET007+1.ax',t7_tarski) ).
fof(d5_tarski,axiom,
! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)),
file('SET007+1.ax',d5_tarski) ).
fof(t8_tarski,axiom,
$true,
file('SET007+1.ax',t8_tarski) ).
fof(d6_tarski,axiom,
! [A,B] :
( r2_tarski(A,B)
<=> ? [C] :
( ! [D,E,F,G] :
( ( r2_hidden(k4_tarski(F,G),C)
& r2_hidden(k4_tarski(D,E),C) )
=> ( D = F
<=> E = G ) )
& ! [D] :
~ ( ! [E] :
~ ( r2_hidden(k4_tarski(E,D),C)
& r2_hidden(E,A) )
& r2_hidden(D,B) )
& ! [D] :
~ ( ! [E] :
~ ( r2_hidden(k4_tarski(D,E),C)
& r2_hidden(E,B) )
& r2_hidden(D,A) ) ) ),
file('SET007+1.ax',d6_tarski) ).
fof(t9_tarski,axiom,
! [A] :
? [B] :
( ! [C] :
~ ( ~ r2_hidden(C,B)
& ~ r2_tarski(C,B)
& r1_tarski(C,B) )
& ! [C] :
~ ( ! [D] :
~ ( ! [E] :
( r1_tarski(E,C)
=> r2_hidden(E,D) )
& r2_hidden(D,B) )
& r2_hidden(C,B) )
& ! [C,D] :
( ( r1_tarski(D,C)
& r2_hidden(C,B) )
=> r2_hidden(D,B) )
& r2_hidden(A,B) ),
file('SET007+1.ax',t9_tarski) ).
fof(s1_tarski,axiom,
( ! [A,B,C] :
( ( p1_s1_tarski(A,C)
& p1_s1_tarski(A,B) )
=> B = C )
=> ? [A] :
! [B] :
( r2_hidden(B,A)
<=> ? [C] :
( p1_s1_tarski(C,B)
& r2_hidden(C,f1_s1_tarski) ) ) ),
file('SET007+1.ax',s1_tarski) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('SET007+1.ax',reflexivity_r1_tarski) ).
fof(dt_k1_tarski,axiom,
$true,
file('SET007+1.ax',dt_k1_tarski) ).
fof(dt_k2_tarski,axiom,
$true,
file('SET007+1.ax',dt_k2_tarski) ).
fof(commutativity_k2_tarski,axiom,
! [A,B] : k2_tarski(A,B) = k2_tarski(B,A),
file('SET007+1.ax',commutativity_k2_tarski) ).
fof(dt_k3_tarski,axiom,
$true,
file('SET007+1.ax',dt_k3_tarski) ).
fof(dt_k4_tarski,axiom,
$true,
file('SET007+1.ax',dt_k4_tarski) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('SET007+2.ax',fc1_xboole_0) ).
fof(rc1_xboole_0,axiom,
? [A] : v1_xboole_0(A),
file('SET007+2.ax',rc1_xboole_0) ).
fof(rc2_xboole_0,axiom,
? [A] : ~ v1_xboole_0(A),
file('SET007+2.ax',rc2_xboole_0) ).
fof(fc2_xboole_0,axiom,
! [A,B] :
( ~ v1_xboole_0(A)
=> ~ v1_xboole_0(k2_xboole_0(A,B)) ),
file('SET007+2.ax',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [A,B] :
( ~ v1_xboole_0(A)
=> ~ v1_xboole_0(k2_xboole_0(B,A)) ),
file('SET007+2.ax',fc3_xboole_0) ).
fof(d1_xboole_0,axiom,
! [A] :
( A = k1_xboole_0
<=> ! [B] : ~ r2_hidden(B,A) ),
file('SET007+2.ax',d1_xboole_0) ).
fof(d2_xboole_0,axiom,
! [A,B,C] :
( C = k2_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,B)
| r2_hidden(D,A) ) ) ),
file('SET007+2.ax',d2_xboole_0) ).
fof(d3_xboole_0,axiom,
! [A,B,C] :
( C = k3_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,B)
& r2_hidden(D,A) ) ) ),
file('SET007+2.ax',d3_xboole_0) ).
fof(d4_xboole_0,axiom,
! [A,B,C] :
( C = k4_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( ~ r2_hidden(D,B)
& r2_hidden(D,A) ) ) ),
file('SET007+2.ax',d4_xboole_0) ).
fof(d5_xboole_0,axiom,
! [A] :
( v1_xboole_0(A)
<=> A = k1_xboole_0 ),
file('SET007+2.ax',d5_xboole_0) ).
fof(d6_xboole_0,axiom,
! [A,B] : k5_xboole_0(A,B) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
file('SET007+2.ax',d6_xboole_0) ).
fof(d7_xboole_0,axiom,
! [A,B] :
( r1_xboole_0(A,B)
<=> k3_xboole_0(A,B) = k1_xboole_0 ),
file('SET007+2.ax',d7_xboole_0) ).
fof(d8_xboole_0,axiom,
! [A,B] :
( r2_xboole_0(A,B)
<=> ( A != B
& r1_tarski(A,B) ) ),
file('SET007+2.ax',d8_xboole_0) ).
fof(d9_xboole_0,axiom,
! [A,B] :
( r3_xboole_0(A,B)
<=> ( r1_tarski(B,A)
| r1_tarski(A,B) ) ),
file('SET007+2.ax',d9_xboole_0) ).
fof(d10_xboole_0,axiom,
! [A,B] :
( A = B
<=> ( r1_tarski(B,A)
& r1_tarski(A,B) ) ),
file('SET007+2.ax',d10_xboole_0) ).
fof(t1_xboole_0,axiom,
! [A,B,C] :
( r2_hidden(A,k5_xboole_0(B,C))
<=> ~ ( r2_hidden(A,B)
<=> r2_hidden(A,C) ) ),
file('SET007+2.ax',t1_xboole_0) ).
fof(t2_xboole_0,axiom,
! [A,B,C] :
( ! [D] :
( ~ r2_hidden(D,A)
<=> ( r2_hidden(D,B)
<=> r2_hidden(D,C) ) )
=> A = k5_xboole_0(B,C) ),
file('SET007+2.ax',t2_xboole_0) ).
fof(t3_xboole_0,axiom,
! [A,B] :
( ~ ( r1_xboole_0(A,B)
& ? [C] :
( r2_hidden(C,B)
& r2_hidden(C,A) ) )
& ~ ( ! [C] :
~ ( r2_hidden(C,B)
& r2_hidden(C,A) )
& ~ r1_xboole_0(A,B) ) ),
file('SET007+2.ax',t3_xboole_0) ).
fof(t4_xboole_0,axiom,
! [A,B] :
( ~ ( r1_xboole_0(A,B)
& ? [C] : r2_hidden(C,k3_xboole_0(A,B)) )
& ~ ( ! [C] : ~ r2_hidden(C,k3_xboole_0(A,B))
& ~ r1_xboole_0(A,B) ) ),
file('SET007+2.ax',t4_xboole_0) ).
fof(t5_xboole_0,axiom,
! [A,B,C] :
~ ( ~ ( ~ r2_hidden(C,A)
& r2_hidden(C,B) )
& ~ ( ~ r2_hidden(C,B)
& r2_hidden(C,A) )
& r2_hidden(C,k2_xboole_0(A,B))
& r1_xboole_0(A,B) ),
file('SET007+2.ax',t5_xboole_0) ).
fof(s1_xboole_0,axiom,
? [A] :
! [B] :
( r2_hidden(B,A)
<=> ( p1_s1_xboole_0(B)
& r2_hidden(B,f1_s1_xboole_0) ) ),
file('SET007+2.ax',s1_xboole_0) ).
fof(s2_xboole_0,axiom,
( ( ! [A] :
( r2_hidden(A,f2_s2_xboole_0)
<=> p1_s2_xboole_0(A) )
& ! [A] :
( r2_hidden(A,f1_s2_xboole_0)
<=> p1_s2_xboole_0(A) ) )
=> f1_s2_xboole_0 = f2_s2_xboole_0 ),
file('SET007+2.ax',s2_xboole_0) ).
fof(s3_xboole_0,axiom,
! [A,B] :
( ( ! [C] :
( r2_hidden(C,B)
<=> p1_s3_xboole_0(C) )
& ! [C] :
( r2_hidden(C,A)
<=> p1_s3_xboole_0(C) ) )
=> A = B ),
file('SET007+2.ax',s3_xboole_0) ).
fof(symmetry_r1_xboole_0,axiom,
! [A,B] :
( r1_xboole_0(A,B)
=> r1_xboole_0(B,A) ),
file('SET007+2.ax',symmetry_r1_xboole_0) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [A,B] : ~ r2_xboole_0(A,A),
file('SET007+2.ax',irreflexivity_r2_xboole_0) ).
fof(antisymmetry_r2_xboole_0,axiom,
! [A,B] :
( r2_xboole_0(A,B)
=> ~ r2_xboole_0(B,A) ),
file('SET007+2.ax',antisymmetry_r2_xboole_0) ).
fof(symmetry_r3_xboole_0,axiom,
! [A,B] :
( r3_xboole_0(A,B)
=> r3_xboole_0(B,A) ),
file('SET007+2.ax',symmetry_r3_xboole_0) ).
fof(reflexivity_r3_xboole_0,axiom,
! [A,B] : r3_xboole_0(A,A),
file('SET007+2.ax',reflexivity_r3_xboole_0) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('SET007+2.ax',dt_k1_xboole_0) ).
fof(dt_k2_xboole_0,axiom,
$true,
file('SET007+2.ax',dt_k2_xboole_0) ).
fof(commutativity_k2_xboole_0,axiom,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A),
file('SET007+2.ax',commutativity_k2_xboole_0) ).
fof(idempotence_k2_xboole_0,axiom,
! [A,B] : k2_xboole_0(A,A) = A,
file('SET007+2.ax',idempotence_k2_xboole_0) ).
fof(dt_k3_xboole_0,axiom,
$true,
file('SET007+2.ax',dt_k3_xboole_0) ).
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
file('SET007+2.ax',commutativity_k3_xboole_0) ).
fof(idempotence_k3_xboole_0,axiom,
! [A,B] : k3_xboole_0(A,A) = A,
file('SET007+2.ax',idempotence_k3_xboole_0) ).
fof(dt_k4_xboole_0,axiom,
$true,
file('SET007+2.ax',dt_k4_xboole_0) ).
fof(dt_k5_xboole_0,axiom,
$true,
file('SET007+2.ax',dt_k5_xboole_0) ).
fof(commutativity_k5_xboole_0,axiom,
! [A,B] : k5_xboole_0(A,B) = k5_xboole_0(B,A),
file('SET007+2.ax',commutativity_k5_xboole_0) ).
fof(t1_boole,axiom,
! [A] : k2_xboole_0(A,k1_xboole_0) = A,
file('SET007+3.ax',t1_boole) ).
fof(t2_boole,axiom,
! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0,
file('SET007+3.ax',t2_boole) ).
fof(t3_boole,axiom,
! [A] : k4_xboole_0(A,k1_xboole_0) = A,
file('SET007+3.ax',t3_boole) ).
fof(t4_boole,axiom,
! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0,
file('SET007+3.ax',t4_boole) ).
fof(t5_boole,axiom,
! [A] : k5_xboole_0(A,k1_xboole_0) = A,
file('SET007+3.ax',t5_boole) ).
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('SET007+3.ax',t6_boole) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& r2_hidden(A,B) ),
file('SET007+3.ax',t7_boole) ).
fof(t8_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& A != B
& v1_xboole_0(A) ),
file('SET007+3.ax',t8_boole) ).
fof(t1_xboole_1,axiom,
! [A,B,C] :
( ( r1_tarski(B,C)
& r1_tarski(A,B) )
=> r1_tarski(A,C) ),
file('SET007+4.ax',t1_xboole_1) ).
fof(t2_xboole_1,axiom,
! [A] : r1_tarski(k1_xboole_0,A),
file('SET007+4.ax',t2_xboole_1) ).
fof(t3_xboole_1,axiom,
! [A] :
( r1_tarski(A,k1_xboole_0)
=> A = k1_xboole_0 ),
file('SET007+4.ax',t3_xboole_1) ).
fof(t4_xboole_1,axiom,
! [A,B,C] : k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(A,k2_xboole_0(B,C)),
file('SET007+4.ax',t4_xboole_1) ).
fof(t5_xboole_1,axiom,
! [A,B,C] : k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k2_xboole_0(A,C),k2_xboole_0(B,C)),
file('SET007+4.ax',t5_xboole_1) ).
fof(t6_xboole_1,axiom,
! [A,B] : k2_xboole_0(A,k2_xboole_0(A,B)) = k2_xboole_0(A,B),
file('SET007+4.ax',t6_xboole_1) ).
fof(t7_xboole_1,axiom,
! [A,B] : r1_tarski(A,k2_xboole_0(A,B)),
file('SET007+4.ax',t7_xboole_1) ).
fof(t8_xboole_1,axiom,
! [A,B,C] :
( ( r1_tarski(C,B)
& r1_tarski(A,B) )
=> r1_tarski(k2_xboole_0(A,C),B) ),
file('SET007+4.ax',t8_xboole_1) ).
fof(t9_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,C)) ),
file('SET007+4.ax',t9_xboole_1) ).
fof(t10_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(A,k2_xboole_0(C,B)) ),
file('SET007+4.ax',t10_xboole_1) ).
fof(t11_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(k2_xboole_0(A,B),C)
=> r1_tarski(A,C) ),
file('SET007+4.ax',t11_xboole_1) ).
fof(t12_xboole_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> k2_xboole_0(A,B) = B ),
file('SET007+4.ax',t12_xboole_1) ).
fof(t13_xboole_1,axiom,
! [A,B,C,D] :
( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,D)) ),
file('SET007+4.ax',t13_xboole_1) ).
fof(t14_xboole_1,axiom,
! [A,B,C] :
( ( ! [D] :
( ( r1_tarski(C,D)
& r1_tarski(A,D) )
=> r1_tarski(B,D) )
& r1_tarski(C,B)
& r1_tarski(A,B) )
=> B = k2_xboole_0(A,C) ),
file('SET007+4.ax',t14_xboole_1) ).
fof(t15_xboole_1,axiom,
! [A,B] :
( k2_xboole_0(A,B) = k1_xboole_0
=> A = k1_xboole_0 ),
file('SET007+4.ax',t15_xboole_1) ).
fof(t16_xboole_1,axiom,
! [A,B,C] : k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C)),
file('SET007+4.ax',t16_xboole_1) ).
fof(t17_xboole_1,axiom,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
file('SET007+4.ax',t17_xboole_1) ).
fof(t18_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,k3_xboole_0(B,C))
=> r1_tarski(A,B) ),
file('SET007+4.ax',t18_xboole_1) ).
fof(t19_xboole_1,axiom,
! [A,B,C] :
( ( r1_tarski(A,C)
& r1_tarski(A,B) )
=> r1_tarski(A,k3_xboole_0(B,C)) ),
file('SET007+4.ax',t19_xboole_1) ).
fof(t20_xboole_1,axiom,
! [A,B,C] :
( ( ! [D] :
( ( r1_tarski(D,C)
& r1_tarski(D,B) )
=> r1_tarski(D,A) )
& r1_tarski(A,C)
& r1_tarski(A,B) )
=> A = k3_xboole_0(B,C) ),
file('SET007+4.ax',t20_xboole_1) ).
fof(t21_xboole_1,axiom,
! [A,B] : k3_xboole_0(A,k2_xboole_0(A,B)) = A,
file('SET007+4.ax',t21_xboole_1) ).
fof(t22_xboole_1,axiom,
! [A,B] : k2_xboole_0(A,k3_xboole_0(A,B)) = A,
file('SET007+4.ax',t22_xboole_1) ).
fof(t23_xboole_1,axiom,
! [A,B,C] : k3_xboole_0(A,k2_xboole_0(B,C)) = k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),
file('SET007+4.ax',t23_xboole_1) ).
fof(t24_xboole_1,axiom,
! [A,B,C] : k2_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C)),
file('SET007+4.ax',t24_xboole_1) ).
fof(t25_xboole_1,axiom,
! [A,B,C] : k2_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(B,C)),k3_xboole_0(C,A)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(B,C)),k2_xboole_0(C,A)),
file('SET007+4.ax',t25_xboole_1) ).
fof(t26_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,C)) ),
file('SET007+4.ax',t26_xboole_1) ).
fof(t27_xboole_1,axiom,
! [A,B,C,D] :
( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,D)) ),
file('SET007+4.ax',t27_xboole_1) ).
fof(t28_xboole_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> k3_xboole_0(A,B) = A ),
file('SET007+4.ax',t28_xboole_1) ).
fof(t29_xboole_1,axiom,
! [A,B,C] : r1_tarski(k3_xboole_0(A,B),k2_xboole_0(A,C)),
file('SET007+4.ax',t29_xboole_1) ).
fof(t30_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> k2_xboole_0(A,k3_xboole_0(C,B)) = k3_xboole_0(k2_xboole_0(A,C),B) ),
file('SET007+4.ax',t30_xboole_1) ).
fof(t31_xboole_1,axiom,
! [A,B,C] : r1_tarski(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),k2_xboole_0(B,C)),
file('SET007+4.ax',t31_xboole_1) ).
fof(t32_xboole_1,axiom,
! [A,B] :
( k4_xboole_0(A,B) = k4_xboole_0(B,A)
=> A = B ),
file('SET007+4.ax',t32_xboole_1) ).
fof(t33_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(k4_xboole_0(A,C),k4_xboole_0(B,C)) ),
file('SET007+4.ax',t33_xboole_1) ).
fof(t34_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(k4_xboole_0(C,B),k4_xboole_0(C,A)) ),
file('SET007+4.ax',t34_xboole_1) ).
fof(t35_xboole_1,axiom,
! [A,B,C,D] :
( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> r1_tarski(k4_xboole_0(A,D),k4_xboole_0(B,C)) ),
file('SET007+4.ax',t35_xboole_1) ).
fof(t36_xboole_1,axiom,
! [A,B] : r1_tarski(k4_xboole_0(A,B),A),
file('SET007+4.ax',t36_xboole_1) ).
fof(t37_xboole_1,axiom,
! [A,B] :
( k4_xboole_0(A,B) = k1_xboole_0
<=> r1_tarski(A,B) ),
file('SET007+4.ax',t37_xboole_1) ).
fof(t38_xboole_1,axiom,
! [A,B] :
( r1_tarski(A,k4_xboole_0(B,A))
=> A = k1_xboole_0 ),
file('SET007+4.ax',t38_xboole_1) ).
fof(t39_xboole_1,axiom,
! [A,B] : k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B),
file('SET007+4.ax',t39_xboole_1) ).
fof(t40_xboole_1,axiom,
! [A,B] : k4_xboole_0(k2_xboole_0(A,B),B) = k4_xboole_0(A,B),
file('SET007+4.ax',t40_xboole_1) ).
fof(t41_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(k4_xboole_0(A,B),C) = k4_xboole_0(A,k2_xboole_0(B,C)),
file('SET007+4.ax',t41_xboole_1) ).
fof(t42_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,C),k4_xboole_0(B,C)),
file('SET007+4.ax',t42_xboole_1) ).
fof(t43_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,k2_xboole_0(B,C))
=> r1_tarski(k4_xboole_0(A,B),C) ),
file('SET007+4.ax',t43_xboole_1) ).
fof(t44_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(k4_xboole_0(A,B),C)
=> r1_tarski(A,k2_xboole_0(B,C)) ),
file('SET007+4.ax',t44_xboole_1) ).
fof(t45_xboole_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> B = k2_xboole_0(A,k4_xboole_0(B,A)) ),
file('SET007+4.ax',t45_xboole_1) ).
fof(t46_xboole_1,axiom,
! [A,B] : k4_xboole_0(A,k2_xboole_0(A,B)) = k1_xboole_0,
file('SET007+4.ax',t46_xboole_1) ).
fof(t47_xboole_1,axiom,
! [A,B] : k4_xboole_0(A,k3_xboole_0(A,B)) = k4_xboole_0(A,B),
file('SET007+4.ax',t47_xboole_1) ).
fof(t48_xboole_1,axiom,
! [A,B] : k4_xboole_0(A,k4_xboole_0(A,B)) = k3_xboole_0(A,B),
file('SET007+4.ax',t48_xboole_1) ).
fof(t49_xboole_1,axiom,
! [A,B,C] : k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),C),
file('SET007+4.ax',t49_xboole_1) ).
fof(t50_xboole_1,axiom,
! [A,B,C] : k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),
file('SET007+4.ax',t50_xboole_1) ).
fof(t51_xboole_1,axiom,
! [A,B] : k2_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B)) = A,
file('SET007+4.ax',t51_xboole_1) ).
fof(t52_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(A,k4_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k3_xboole_0(A,C)),
file('SET007+4.ax',t52_xboole_1) ).
fof(t53_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(A,k2_xboole_0(B,C)) = k3_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)),
file('SET007+4.ax',t53_xboole_1) ).
fof(t54_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(A,k3_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)),
file('SET007+4.ax',t54_xboole_1) ).
fof(t55_xboole_1,axiom,
! [A,B] : k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
file('SET007+4.ax',t55_xboole_1) ).
fof(t56_xboole_1,axiom,
! [A,B,C] :
( ( r2_xboole_0(B,C)
& r2_xboole_0(A,B) )
=> r2_xboole_0(A,C) ),
file('SET007+4.ax',t56_xboole_1) ).
fof(t57_xboole_1,axiom,
! [A,B] :
~ ( r2_xboole_0(B,A)
& r2_xboole_0(A,B) ),
file('SET007+4.ax',t57_xboole_1) ).
fof(t58_xboole_1,axiom,
! [A,B,C] :
( ( r1_tarski(B,C)
& r2_xboole_0(A,B) )
=> r2_xboole_0(A,C) ),
file('SET007+4.ax',t58_xboole_1) ).
fof(t59_xboole_1,axiom,
! [A,B,C] :
( ( r2_xboole_0(B,C)
& r1_tarski(A,B) )
=> r2_xboole_0(A,C) ),
file('SET007+4.ax',t59_xboole_1) ).
fof(t60_xboole_1,axiom,
! [A,B] :
~ ( r2_xboole_0(B,A)
& r1_tarski(A,B) ),
file('SET007+4.ax',t60_xboole_1) ).
fof(t61_xboole_1,axiom,
! [A] :
( A != k1_xboole_0
=> r2_xboole_0(k1_xboole_0,A) ),
file('SET007+4.ax',t61_xboole_1) ).
fof(t62_xboole_1,axiom,
! [A] : ~ r2_xboole_0(A,k1_xboole_0),
file('SET007+4.ax',t62_xboole_1) ).
fof(t63_xboole_1,axiom,
! [A,B,C] :
( ( r1_xboole_0(B,C)
& r1_tarski(A,B) )
=> r1_xboole_0(A,C) ),
file('SET007+4.ax',t63_xboole_1) ).
fof(t64_xboole_1,axiom,
! [A,B,C,D] :
( ( r1_xboole_0(B,D)
& r1_tarski(C,D)
& r1_tarski(A,B) )
=> r1_xboole_0(A,C) ),
file('SET007+4.ax',t64_xboole_1) ).
fof(t65_xboole_1,axiom,
! [A] : r1_xboole_0(A,k1_xboole_0),
file('SET007+4.ax',t65_xboole_1) ).
fof(t66_xboole_1,axiom,
! [A] :
( ~ ( r1_xboole_0(A,A)
& A != k1_xboole_0 )
& ~ ( A = k1_xboole_0
& ~ r1_xboole_0(A,A) ) ),
file('SET007+4.ax',t66_xboole_1) ).
fof(t67_xboole_1,axiom,
! [A,B,C] :
( ( r1_xboole_0(B,C)
& r1_tarski(A,C)
& r1_tarski(A,B) )
=> A = k1_xboole_0 ),
file('SET007+4.ax',t67_xboole_1) ).
fof(t68_xboole_1,axiom,
! [A,B,C] :
( ~ v1_xboole_0(C)
=> ~ ( r1_xboole_0(A,B)
& r1_tarski(C,B)
& r1_tarski(C,A) ) ),
file('SET007+4.ax',t68_xboole_1) ).
fof(t69_xboole_1,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> ~ ( r1_xboole_0(B,A)
& r1_tarski(B,A) ) ),
file('SET007+4.ax',t69_xboole_1) ).
fof(t70_xboole_1,axiom,
! [A,B,C] :
( ~ ( r1_xboole_0(A,k2_xboole_0(B,C))
& ~ ( r1_xboole_0(A,C)
& r1_xboole_0(A,B) ) )
& ~ ( r1_xboole_0(A,C)
& r1_xboole_0(A,B)
& ~ r1_xboole_0(A,k2_xboole_0(B,C)) ) ),
file('SET007+4.ax',t70_xboole_1) ).
fof(t71_xboole_1,axiom,
! [A,B,C] :
( ( r1_xboole_0(C,B)
& r1_xboole_0(A,B)
& k2_xboole_0(A,B) = k2_xboole_0(C,B) )
=> A = C ),
file('SET007+4.ax',t71_xboole_1) ).
fof(t72_xboole_1,axiom,
! [A,B,C,D] :
( ( r1_xboole_0(D,B)
& r1_xboole_0(C,A)
& k2_xboole_0(A,B) = k2_xboole_0(C,D) )
=> C = B ),
file('SET007+4.ax',t72_xboole_1) ).
fof(t73_xboole_1,axiom,
! [A,B,C] :
( ( r1_xboole_0(A,C)
& r1_tarski(A,k2_xboole_0(B,C)) )
=> r1_tarski(A,B) ),
file('SET007+4.ax',t73_xboole_1) ).
fof(t74_xboole_1,axiom,
! [A,B,C] :
~ ( r1_xboole_0(A,B)
& ~ r1_xboole_0(A,k3_xboole_0(B,C)) ),
file('SET007+4.ax',t74_xboole_1) ).
fof(t75_xboole_1,axiom,
! [A,B] :
~ ( r1_xboole_0(k3_xboole_0(A,B),B)
& ~ r1_xboole_0(A,B) ),
file('SET007+4.ax',t75_xboole_1) ).
fof(t76_xboole_1,axiom,
! [A,B,C] :
( r1_xboole_0(A,B)
=> r1_xboole_0(k3_xboole_0(C,A),k3_xboole_0(C,B)) ),
file('SET007+4.ax',t76_xboole_1) ).
fof(t77_xboole_1,axiom,
! [A,B,C] :
~ ( r1_xboole_0(A,k3_xboole_0(B,C))
& r1_tarski(A,C)
& ~ r1_xboole_0(A,B) ),
file('SET007+4.ax',t77_xboole_1) ).
fof(t78_xboole_1,axiom,
! [A,B,C] :
( r1_xboole_0(A,B)
=> k3_xboole_0(A,k2_xboole_0(B,C)) = k3_xboole_0(A,C) ),
file('SET007+4.ax',t78_xboole_1) ).
fof(t79_xboole_1,axiom,
! [A,B] : r1_xboole_0(k4_xboole_0(A,B),B),
file('SET007+4.ax',t79_xboole_1) ).
fof(t80_xboole_1,axiom,
! [A,B,C] :
( r1_xboole_0(A,B)
=> r1_xboole_0(A,k4_xboole_0(B,C)) ),
file('SET007+4.ax',t80_xboole_1) ).
fof(t81_xboole_1,axiom,
! [A,B,C] :
( r1_xboole_0(A,k4_xboole_0(B,C))
=> r1_xboole_0(B,k4_xboole_0(A,C)) ),
file('SET007+4.ax',t81_xboole_1) ).
fof(t82_xboole_1,axiom,
! [A,B] : r1_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
file('SET007+4.ax',t82_xboole_1) ).
fof(t83_xboole_1,axiom,
! [A,B] :
( r1_xboole_0(A,B)
<=> k4_xboole_0(A,B) = A ),
file('SET007+4.ax',t83_xboole_1) ).
fof(t84_xboole_1,axiom,
! [A,B,C] :
~ ( r1_xboole_0(A,k4_xboole_0(B,C))
& r1_xboole_0(A,C)
& ~ r1_xboole_0(A,B) ),
file('SET007+4.ax',t84_xboole_1) ).
fof(t85_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_xboole_0(A,k4_xboole_0(C,B)) ),
file('SET007+4.ax',t85_xboole_1) ).
fof(t86_xboole_1,axiom,
! [A,B,C] :
( ( r1_xboole_0(A,C)
& r1_tarski(A,B) )
=> r1_tarski(A,k4_xboole_0(B,C)) ),
file('SET007+4.ax',t86_xboole_1) ).
fof(t87_xboole_1,axiom,
! [A,B,C] :
( r1_xboole_0(A,B)
=> k2_xboole_0(k4_xboole_0(C,A),B) = k4_xboole_0(k2_xboole_0(C,B),A) ),
file('SET007+4.ax',t87_xboole_1) ).
fof(t88_xboole_1,axiom,
! [A,B] :
( r1_xboole_0(A,B)
=> k4_xboole_0(k2_xboole_0(A,B),B) = A ),
file('SET007+4.ax',t88_xboole_1) ).
fof(t89_xboole_1,axiom,
! [A,B] : r1_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B)),
file('SET007+4.ax',t89_xboole_1) ).
fof(t90_xboole_1,axiom,
! [A,B] : r1_xboole_0(k4_xboole_0(A,k3_xboole_0(A,B)),B),
file('SET007+4.ax',t90_xboole_1) ).
fof(t91_xboole_1,axiom,
! [A,B,C] : k5_xboole_0(k5_xboole_0(A,B),C) = k5_xboole_0(A,k5_xboole_0(B,C)),
file('SET007+4.ax',t91_xboole_1) ).
fof(t92_xboole_1,axiom,
! [A] : k5_xboole_0(A,A) = k1_xboole_0,
file('SET007+4.ax',t92_xboole_1) ).
fof(t93_xboole_1,axiom,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)),
file('SET007+4.ax',t93_xboole_1) ).
fof(t94_xboole_1,axiom,
! [A,B] : k2_xboole_0(A,B) = k5_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)),
file('SET007+4.ax',t94_xboole_1) ).
fof(t95_xboole_1,axiom,
! [A,B] : k3_xboole_0(A,B) = k5_xboole_0(k5_xboole_0(A,B),k2_xboole_0(A,B)),
file('SET007+4.ax',t95_xboole_1) ).
fof(t96_xboole_1,axiom,
! [A,B] : r1_tarski(k4_xboole_0(A,B),k5_xboole_0(A,B)),
file('SET007+4.ax',t96_xboole_1) ).
fof(t97_xboole_1,axiom,
! [A,B,C] :
( ( r1_tarski(k4_xboole_0(B,A),C)
& r1_tarski(k4_xboole_0(A,B),C) )
=> r1_tarski(k5_xboole_0(A,B),C) ),
file('SET007+4.ax',t97_xboole_1) ).
fof(t98_xboole_1,axiom,
! [A,B] : k2_xboole_0(A,B) = k5_xboole_0(A,k4_xboole_0(B,A)),
file('SET007+4.ax',t98_xboole_1) ).
fof(t99_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(k5_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k4_xboole_0(B,k2_xboole_0(A,C))),
file('SET007+4.ax',t99_xboole_1) ).
fof(t100_xboole_1,axiom,
! [A,B] : k4_xboole_0(A,B) = k5_xboole_0(A,k3_xboole_0(A,B)),
file('SET007+4.ax',t100_xboole_1) ).
fof(t101_xboole_1,axiom,
! [A,B] : k5_xboole_0(A,B) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)),
file('SET007+4.ax',t101_xboole_1) ).
fof(t102_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(A,k5_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C)),
file('SET007+4.ax',t102_xboole_1) ).
fof(t103_xboole_1,axiom,
! [A,B] : r1_xboole_0(k3_xboole_0(A,B),k5_xboole_0(A,B)),
file('SET007+4.ax',t103_xboole_1) ).
fof(t104_xboole_1,axiom,
! [A,B] :
( ~ ( ~ r2_xboole_0(B,A)
& A != B
& ~ r2_xboole_0(A,B) )
<=> r3_xboole_0(A,B) ),
file('SET007+4.ax',t104_xboole_1) ).
fof(t105_xboole_1,axiom,
! [A,B] :
~ ( k4_xboole_0(B,A) = k1_xboole_0
& r2_xboole_0(A,B) ),
file('SET007+4.ax',t105_xboole_1) ).
fof(t106_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,k4_xboole_0(B,C))
=> ( r1_xboole_0(A,C)
& r1_tarski(A,B) ) ),
file('SET007+4.ax',t106_xboole_1) ).
fof(t107_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,k5_xboole_0(B,C))
<=> ( r1_xboole_0(A,k3_xboole_0(B,C))
& r1_tarski(A,k2_xboole_0(B,C)) ) ),
file('SET007+4.ax',t107_xboole_1) ).
fof(t108_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(k3_xboole_0(A,C),B) ),
file('SET007+4.ax',t108_xboole_1) ).
fof(t109_xboole_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> r1_tarski(k4_xboole_0(A,C),B) ),
file('SET007+4.ax',t109_xboole_1) ).
fof(t110_xboole_1,axiom,
! [A,B,C] :
( ( r1_tarski(C,B)
& r1_tarski(A,B) )
=> r1_tarski(k5_xboole_0(A,C),B) ),
file('SET007+4.ax',t110_xboole_1) ).
fof(t111_xboole_1,axiom,
! [A,B,C] : k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k4_xboole_0(A,C),B),
file('SET007+4.ax',t111_xboole_1) ).
fof(t112_xboole_1,axiom,
! [A,B,C] : k5_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k5_xboole_0(A,C),B),
file('SET007+4.ax',t112_xboole_1) ).
fof(t113_xboole_1,axiom,
! [A,B,C,D] : k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) = k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D)),
file('SET007+4.ax',t113_xboole_1) ).
fof(t114_xboole_1,axiom,
! [A,B,C,D] :
( ( r1_xboole_0(C,D)
& r1_xboole_0(B,D)
& r1_xboole_0(A,D) )
=> r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) ),
file('SET007+4.ax',t114_xboole_1) ).
fof(d1_enumset1,axiom,
! [A,B,C,D] :
( D = k1_enumset1(A,B,C)
<=> ! [E] :
( r2_hidden(E,D)
<=> ~ ( E != C
& E != B
& E != A ) ) ),
file('SET007+5.ax',d1_enumset1) ).
fof(d2_enumset1,axiom,
! [A,B,C,D,E] :
( E = k2_enumset1(A,B,C,D)
<=> ! [F] :
( r2_hidden(F,E)
<=> ~ ( F != D
& F != C
& F != B
& F != A ) ) ),
file('SET007+5.ax',d2_enumset1) ).
fof(d3_enumset1,axiom,
! [A,B,C,D,E,F] :
( F = k3_enumset1(A,B,C,D,E)
<=> ! [G] :
( r2_hidden(G,F)
<=> ~ ( G != E
& G != D
& G != C
& G != B
& G != A ) ) ),
file('SET007+5.ax',d3_enumset1) ).
fof(d4_enumset1,axiom,
! [A,B,C,D,E,F,G] :
( G = k4_enumset1(A,B,C,D,E,F)
<=> ! [H] :
( r2_hidden(H,G)
<=> ~ ( H != F
& H != E
& H != D
& H != C
& H != B
& H != A ) ) ),
file('SET007+5.ax',d4_enumset1) ).
fof(d5_enumset1,axiom,
! [A,B,C,D,E,F,G,H] :
( H = k5_enumset1(A,B,C,D,E,F,G)
<=> ! [I] :
( r2_hidden(I,H)
<=> ~ ( I != G
& I != F
& I != E
& I != D
& I != C
& I != B
& I != A ) ) ),
file('SET007+5.ax',d5_enumset1) ).
fof(d6_enumset1,axiom,
! [A,B,C,D,E,F,G,H,I] :
( I = k6_enumset1(A,B,C,D,E,F,G,H)
<=> ! [J] :
( r2_hidden(J,I)
<=> ~ ( J != H
& J != G
& J != F
& J != E
& J != D
& J != C
& J != B
& J != A ) ) ),
file('SET007+5.ax',d6_enumset1) ).
fof(t1_enumset1,axiom,
$true,
file('SET007+5.ax',t1_enumset1) ).
fof(t2_enumset1,axiom,
$true,
file('SET007+5.ax',t2_enumset1) ).
fof(t3_enumset1,axiom,
$true,
file('SET007+5.ax',t3_enumset1) ).
fof(t4_enumset1,axiom,
$true,
file('SET007+5.ax',t4_enumset1) ).
fof(t5_enumset1,axiom,
$true,
file('SET007+5.ax',t5_enumset1) ).
fof(t6_enumset1,axiom,
$true,
file('SET007+5.ax',t6_enumset1) ).
fof(t7_enumset1,axiom,
$true,
file('SET007+5.ax',t7_enumset1) ).
fof(t8_enumset1,axiom,
$true,
file('SET007+5.ax',t8_enumset1) ).
fof(t9_enumset1,axiom,
$true,
file('SET007+5.ax',t9_enumset1) ).
fof(t10_enumset1,axiom,
$true,
file('SET007+5.ax',t10_enumset1) ).
fof(t11_enumset1,axiom,
$true,
file('SET007+5.ax',t11_enumset1) ).
fof(t12_enumset1,axiom,
$true,
file('SET007+5.ax',t12_enumset1) ).
fof(t13_enumset1,axiom,
$true,
file('SET007+5.ax',t13_enumset1) ).
fof(t14_enumset1,axiom,
$true,
file('SET007+5.ax',t14_enumset1) ).
fof(t15_enumset1,axiom,
$true,
file('SET007+5.ax',t15_enumset1) ).
fof(t16_enumset1,axiom,
$true,
file('SET007+5.ax',t16_enumset1) ).
fof(t17_enumset1,axiom,
$true,
file('SET007+5.ax',t17_enumset1) ).
fof(t18_enumset1,axiom,
$true,
file('SET007+5.ax',t18_enumset1) ).
fof(t19_enumset1,axiom,
$true,
file('SET007+5.ax',t19_enumset1) ).
fof(t20_enumset1,axiom,
$true,
file('SET007+5.ax',t20_enumset1) ).
fof(t21_enumset1,axiom,
$true,
file('SET007+5.ax',t21_enumset1) ).
fof(t22_enumset1,axiom,
$true,
file('SET007+5.ax',t22_enumset1) ).
fof(t23_enumset1,axiom,
$true,
file('SET007+5.ax',t23_enumset1) ).
fof(t24_enumset1,axiom,
$true,
file('SET007+5.ax',t24_enumset1) ).
fof(t25_enumset1,axiom,
$true,
file('SET007+5.ax',t25_enumset1) ).
fof(t26_enumset1,axiom,
$true,
file('SET007+5.ax',t26_enumset1) ).
fof(t27_enumset1,axiom,
$true,
file('SET007+5.ax',t27_enumset1) ).
fof(t28_enumset1,axiom,
$true,
file('SET007+5.ax',t28_enumset1) ).
fof(t29_enumset1,axiom,
$true,
file('SET007+5.ax',t29_enumset1) ).
fof(t30_enumset1,axiom,
$true,
file('SET007+5.ax',t30_enumset1) ).
fof(t31_enumset1,axiom,
$true,
file('SET007+5.ax',t31_enumset1) ).
fof(t32_enumset1,axiom,
$true,
file('SET007+5.ax',t32_enumset1) ).
fof(t33_enumset1,axiom,
$true,
file('SET007+5.ax',t33_enumset1) ).
fof(t34_enumset1,axiom,
$true,
file('SET007+5.ax',t34_enumset1) ).
fof(t35_enumset1,axiom,
$true,
file('SET007+5.ax',t35_enumset1) ).
fof(t36_enumset1,axiom,
$true,
file('SET007+5.ax',t36_enumset1) ).
fof(t37_enumset1,axiom,
$true,
file('SET007+5.ax',t37_enumset1) ).
fof(t38_enumset1,axiom,
$true,
file('SET007+5.ax',t38_enumset1) ).
fof(t39_enumset1,axiom,
$true,
file('SET007+5.ax',t39_enumset1) ).
fof(t40_enumset1,axiom,
$true,
file('SET007+5.ax',t40_enumset1) ).
fof(t41_enumset1,axiom,
! [A,B] : k2_tarski(A,B) = k2_xboole_0(k1_tarski(A),k1_tarski(B)),
file('SET007+5.ax',t41_enumset1) ).
fof(t42_enumset1,axiom,
! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k1_tarski(A),k2_tarski(B,C)),
file('SET007+5.ax',t42_enumset1) ).
fof(t43_enumset1,axiom,
! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k2_tarski(A,B),k1_tarski(C)),
file('SET007+5.ax',t43_enumset1) ).
fof(t44_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D)),
file('SET007+5.ax',t44_enumset1) ).
fof(t45_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D)),
file('SET007+5.ax',t45_enumset1) ).
fof(t46_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_enumset1(A,B,C),k1_tarski(D)),
file('SET007+5.ax',t46_enumset1) ).
fof(t47_enumset1,axiom,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)),
file('SET007+5.ax',t47_enumset1) ).
fof(t48_enumset1,axiom,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_tarski(A,B),k1_enumset1(C,D,E)),
file('SET007+5.ax',t48_enumset1) ).
fof(t49_enumset1,axiom,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_enumset1(A,B,C),k2_tarski(D,E)),
file('SET007+5.ax',t49_enumset1) ).
fof(t50_enumset1,axiom,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)),
file('SET007+5.ax',t50_enumset1) ).
fof(t51_enumset1,axiom,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F)),
file('SET007+5.ax',t51_enumset1) ).
fof(t52_enumset1,axiom,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F)),
file('SET007+5.ax',t52_enumset1) ).
fof(t53_enumset1,axiom,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)),
file('SET007+5.ax',t53_enumset1) ).
fof(t54_enumset1,axiom,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_tarski(E,F)),
file('SET007+5.ax',t54_enumset1) ).
fof(t55_enumset1,axiom,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)),
file('SET007+5.ax',t55_enumset1) ).
fof(t56_enumset1,axiom,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_tarski(A),k4_enumset1(B,C,D,E,F,G)),
file('SET007+5.ax',t56_enumset1) ).
fof(t57_enumset1,axiom,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_tarski(A,B),k3_enumset1(C,D,E,F,G)),
file('SET007+5.ax',t57_enumset1) ).
fof(t58_enumset1,axiom,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G)),
file('SET007+5.ax',t58_enumset1) ).
fof(t59_enumset1,axiom,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)),
file('SET007+5.ax',t59_enumset1) ).
fof(t60_enumset1,axiom,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k2_tarski(F,G)),
file('SET007+5.ax',t60_enumset1) ).
fof(t61_enumset1,axiom,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k1_tarski(G)),
file('SET007+5.ax',t61_enumset1) ).
fof(t62_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_tarski(A),k5_enumset1(B,C,D,E,F,G,H)),
file('SET007+5.ax',t62_enumset1) ).
fof(t63_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_tarski(A,B),k4_enumset1(C,D,E,F,G,H)),
file('SET007+5.ax',t63_enumset1) ).
fof(t64_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H)),
file('SET007+5.ax',t64_enumset1) ).
fof(t65_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_enumset1(E,F,G,H)),
file('SET007+5.ax',t65_enumset1) ).
fof(t66_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_enumset1(F,G,H)),
file('SET007+5.ax',t66_enumset1) ).
fof(t67_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k2_tarski(G,H)),
file('SET007+5.ax',t67_enumset1) ).
fof(t68_enumset1,axiom,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k5_enumset1(A,B,C,D,E,F,G),k1_tarski(H)),
file('SET007+5.ax',t68_enumset1) ).
fof(t69_enumset1,axiom,
! [A] : k2_tarski(A,A) = k1_tarski(A),
file('SET007+5.ax',t69_enumset1) ).
fof(t70_enumset1,axiom,
! [A,B] : k1_enumset1(A,A,B) = k2_tarski(A,B),
file('SET007+5.ax',t70_enumset1) ).
fof(t71_enumset1,axiom,
! [A,B,C] : k2_enumset1(A,A,B,C) = k1_enumset1(A,B,C),
file('SET007+5.ax',t71_enumset1) ).
fof(t72_enumset1,axiom,
! [A,B,C,D] : k3_enumset1(A,A,B,C,D) = k2_enumset1(A,B,C,D),
file('SET007+5.ax',t72_enumset1) ).
fof(t73_enumset1,axiom,
! [A,B,C,D,E] : k4_enumset1(A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E),
file('SET007+5.ax',t73_enumset1) ).
fof(t74_enumset1,axiom,
! [A,B,C,D,E,F] : k5_enumset1(A,A,B,C,D,E,F) = k4_enumset1(A,B,C,D,E,F),
file('SET007+5.ax',t74_enumset1) ).
fof(t75_enumset1,axiom,
! [A,B,C,D,E,F,G] : k6_enumset1(A,A,B,C,D,E,F,G) = k5_enumset1(A,B,C,D,E,F,G),
file('SET007+5.ax',t75_enumset1) ).
fof(t76_enumset1,axiom,
! [A] : k1_enumset1(A,A,A) = k1_tarski(A),
file('SET007+5.ax',t76_enumset1) ).
fof(t77_enumset1,axiom,
! [A,B] : k2_enumset1(A,A,A,B) = k2_tarski(A,B),
file('SET007+5.ax',t77_enumset1) ).
fof(t78_enumset1,axiom,
! [A,B,C] : k3_enumset1(A,A,A,B,C) = k1_enumset1(A,B,C),
file('SET007+5.ax',t78_enumset1) ).
fof(t79_enumset1,axiom,
! [A,B,C,D] : k4_enumset1(A,A,A,B,C,D) = k2_enumset1(A,B,C,D),
file('SET007+5.ax',t79_enumset1) ).
fof(t80_enumset1,axiom,
! [A,B,C,D,E] : k5_enumset1(A,A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E),
file('SET007+5.ax',t80_enumset1) ).
fof(t81_enumset1,axiom,
! [A,B,C,D,E,F] : k6_enumset1(A,A,A,B,C,D,E,F) = k4_enumset1(A,B,C,D,E,F),
file('SET007+5.ax',t81_enumset1) ).
fof(t82_enumset1,axiom,
! [A] : k2_enumset1(A,A,A,A) = k1_tarski(A),
file('SET007+5.ax',t82_enumset1) ).
fof(t83_enumset1,axiom,
! [A,B] : k3_enumset1(A,A,A,A,B) = k2_tarski(A,B),
file('SET007+5.ax',t83_enumset1) ).
fof(t84_enumset1,axiom,
! [A,B,C] : k4_enumset1(A,A,A,A,B,C) = k1_enumset1(A,B,C),
file('SET007+5.ax',t84_enumset1) ).
fof(t85_enumset1,axiom,
! [A,B,C,D] : k5_enumset1(A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D),
file('SET007+5.ax',t85_enumset1) ).
fof(t86_enumset1,axiom,
! [A,B,C,D,E] : k6_enumset1(A,A,A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E),
file('SET007+5.ax',t86_enumset1) ).
fof(t87_enumset1,axiom,
! [A] : k3_enumset1(A,A,A,A,A) = k1_tarski(A),
file('SET007+5.ax',t87_enumset1) ).
fof(t88_enumset1,axiom,
! [A,B] : k4_enumset1(A,A,A,A,A,B) = k2_tarski(A,B),
file('SET007+5.ax',t88_enumset1) ).
fof(t89_enumset1,axiom,
! [A,B,C] : k5_enumset1(A,A,A,A,A,B,C) = k1_enumset1(A,B,C),
file('SET007+5.ax',t89_enumset1) ).
fof(t90_enumset1,axiom,
! [A,B,C,D] : k6_enumset1(A,A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D),
file('SET007+5.ax',t90_enumset1) ).
fof(t91_enumset1,axiom,
! [A] : k4_enumset1(A,A,A,A,A,A) = k1_tarski(A),
file('SET007+5.ax',t91_enumset1) ).
fof(t92_enumset1,axiom,
! [A,B] : k5_enumset1(A,A,A,A,A,A,B) = k2_tarski(A,B),
file('SET007+5.ax',t92_enumset1) ).
fof(t93_enumset1,axiom,
! [A,B,C] : k6_enumset1(A,A,A,A,A,A,B,C) = k1_enumset1(A,B,C),
file('SET007+5.ax',t93_enumset1) ).
fof(t94_enumset1,axiom,
! [A] : k5_enumset1(A,A,A,A,A,A,A) = k1_tarski(A),
file('SET007+5.ax',t94_enumset1) ).
fof(t95_enumset1,axiom,
! [A,B] : k6_enumset1(A,A,A,A,A,A,A,B) = k2_tarski(A,B),
file('SET007+5.ax',t95_enumset1) ).
fof(t96_enumset1,axiom,
! [A] : k6_enumset1(A,A,A,A,A,A,A,A) = k1_tarski(A),
file('SET007+5.ax',t96_enumset1) ).
fof(t97_enumset1,axiom,
$true,
file('SET007+5.ax',t97_enumset1) ).
fof(t98_enumset1,axiom,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(A,C,B),
file('SET007+5.ax',t98_enumset1) ).
fof(t99_enumset1,axiom,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(B,A,C),
file('SET007+5.ax',t99_enumset1) ).
fof(t100_enumset1,axiom,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(B,C,A),
file('SET007+5.ax',t100_enumset1) ).
fof(t101_enumset1,axiom,
$true,
file('SET007+5.ax',t101_enumset1) ).
fof(t102_enumset1,axiom,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(C,B,A),
file('SET007+5.ax',t102_enumset1) ).
fof(t103_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,B,D,C),
file('SET007+5.ax',t103_enumset1) ).
fof(t104_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,C,B,D),
file('SET007+5.ax',t104_enumset1) ).
fof(t105_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,C,D,B),
file('SET007+5.ax',t105_enumset1) ).
fof(t106_enumset1,axiom,
$true,
file('SET007+5.ax',t106_enumset1) ).
fof(t107_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,D,C,B),
file('SET007+5.ax',t107_enumset1) ).
fof(t108_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,A,C,D),
file('SET007+5.ax',t108_enumset1) ).
fof(t109_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,A,D,C),
file('SET007+5.ax',t109_enumset1) ).
fof(t110_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,C,A,D),
file('SET007+5.ax',t110_enumset1) ).
fof(t111_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,C,D,A),
file('SET007+5.ax',t111_enumset1) ).
fof(t112_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,D,A,C),
file('SET007+5.ax',t112_enumset1) ).
fof(t113_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,D,C,A),
file('SET007+5.ax',t113_enumset1) ).
fof(t114_enumset1,axiom,
$true,
file('SET007+5.ax',t114_enumset1) ).
fof(t115_enumset1,axiom,
$true,
file('SET007+5.ax',t115_enumset1) ).
fof(t116_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,B,A,D),
file('SET007+5.ax',t116_enumset1) ).
fof(t117_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,B,D,A),
file('SET007+5.ax',t117_enumset1) ).
fof(t118_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,D,A,B),
file('SET007+5.ax',t118_enumset1) ).
fof(t119_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,D,B,A),
file('SET007+5.ax',t119_enumset1) ).
fof(t120_enumset1,axiom,
$true,
file('SET007+5.ax',t120_enumset1) ).
fof(t121_enumset1,axiom,
$true,
file('SET007+5.ax',t121_enumset1) ).
fof(t122_enumset1,axiom,
$true,
file('SET007+5.ax',t122_enumset1) ).
fof(t123_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(D,B,C,A),
file('SET007+5.ax',t123_enumset1) ).
fof(t124_enumset1,axiom,
$true,
file('SET007+5.ax',t124_enumset1) ).
fof(t125_enumset1,axiom,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(D,C,B,A),
file('SET007+5.ax',t125_enumset1) ).
fof(dt_k1_enumset1,axiom,
$true,
file('SET007+5.ax',dt_k1_enumset1) ).
fof(dt_k2_enumset1,axiom,
$true,
file('SET007+5.ax',dt_k2_enumset1) ).
fof(dt_k3_enumset1,axiom,
$true,
file('SET007+5.ax',dt_k3_enumset1) ).
fof(dt_k4_enumset1,axiom,
$true,
file('SET007+5.ax',dt_k4_enumset1) ).
fof(dt_k5_enumset1,axiom,
$true,
file('SET007+5.ax',dt_k5_enumset1) ).
fof(dt_k6_enumset1,axiom,
$true,
file('SET007+5.ax',dt_k6_enumset1) ).
fof(fc1_zfmisc_1,axiom,
! [A,B] : ~ v1_xboole_0(k4_tarski(A,B)),
file('SET007+6.ax',fc1_zfmisc_1) ).
fof(d1_zfmisc_1,axiom,
! [A,B] :
( B = k1_zfmisc_1(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> r1_tarski(C,A) ) ),
file('SET007+6.ax',d1_zfmisc_1) ).
fof(d2_zfmisc_1,axiom,
! [A,B,C] :
( C = k2_zfmisc_1(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ? [E,F] :
( D = k4_tarski(E,F)
& r2_hidden(F,B)
& r2_hidden(E,A) ) ) ),
file('SET007+6.ax',d2_zfmisc_1) ).
fof(d3_zfmisc_1,axiom,
! [A,B,C] : k3_zfmisc_1(A,B,C) = k2_zfmisc_1(k2_zfmisc_1(A,B),C),
file('SET007+6.ax',d3_zfmisc_1) ).
fof(d4_zfmisc_1,axiom,
! [A,B,C,D] : k4_zfmisc_1(A,B,C,D) = k2_zfmisc_1(k3_zfmisc_1(A,B,C),D),
file('SET007+6.ax',d4_zfmisc_1) ).
fof(t1_zfmisc_1,axiom,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
file('SET007+6.ax',t1_zfmisc_1) ).
fof(t2_zfmisc_1,axiom,
k3_tarski(k1_xboole_0) = k1_xboole_0,
file('SET007+6.ax',t2_zfmisc_1) ).
fof(t3_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t3_zfmisc_1) ).
fof(t4_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t4_zfmisc_1) ).
fof(t5_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t5_zfmisc_1) ).
fof(t6_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(k1_tarski(A),k1_tarski(B))
=> A = B ),
file('SET007+6.ax',t6_zfmisc_1) ).
fof(t7_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t7_zfmisc_1) ).
fof(t8_zfmisc_1,axiom,
! [A,B,C] :
( k1_tarski(A) = k2_tarski(B,C)
=> A = B ),
file('SET007+6.ax',t8_zfmisc_1) ).
fof(t9_zfmisc_1,axiom,
! [A,B,C] :
( k1_tarski(A) = k2_tarski(B,C)
=> B = C ),
file('SET007+6.ax',t9_zfmisc_1) ).
fof(t10_zfmisc_1,axiom,
! [A,B,C,D] :
~ ( A != D
& A != C
& k2_tarski(A,B) = k2_tarski(C,D) ),
file('SET007+6.ax',t10_zfmisc_1) ).
fof(t11_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t11_zfmisc_1) ).
fof(t12_zfmisc_1,axiom,
! [A,B] : r1_tarski(k1_tarski(A),k2_tarski(A,B)),
file('SET007+6.ax',t12_zfmisc_1) ).
fof(t13_zfmisc_1,axiom,
! [A,B] :
( k2_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A)
=> A = B ),
file('SET007+6.ax',t13_zfmisc_1) ).
fof(t14_zfmisc_1,axiom,
! [A,B] : k2_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k2_tarski(A,B),
file('SET007+6.ax',t14_zfmisc_1) ).
fof(t15_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t15_zfmisc_1) ).
fof(t16_zfmisc_1,axiom,
! [A,B] :
~ ( A = B
& r1_xboole_0(k1_tarski(A),k1_tarski(B)) ),
file('SET007+6.ax',t16_zfmisc_1) ).
fof(t17_zfmisc_1,axiom,
! [A,B] :
( A != B
=> r1_xboole_0(k1_tarski(A),k1_tarski(B)) ),
file('SET007+6.ax',t17_zfmisc_1) ).
fof(t18_zfmisc_1,axiom,
! [A,B] :
( k3_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A)
=> A = B ),
file('SET007+6.ax',t18_zfmisc_1) ).
fof(t19_zfmisc_1,axiom,
! [A,B] : k3_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_tarski(A),
file('SET007+6.ax',t19_zfmisc_1) ).
fof(t20_zfmisc_1,axiom,
! [A,B] :
( k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A)
<=> A != B ),
file('SET007+6.ax',t20_zfmisc_1) ).
fof(t21_zfmisc_1,axiom,
! [A,B] :
( k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_xboole_0
=> A = B ),
file('SET007+6.ax',t21_zfmisc_1) ).
fof(t22_zfmisc_1,axiom,
! [A,B] : k4_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_xboole_0,
file('SET007+6.ax',t22_zfmisc_1) ).
fof(t23_zfmisc_1,axiom,
! [A,B] :
( A != B
=> k4_xboole_0(k2_tarski(A,B),k1_tarski(B)) = k1_tarski(A) ),
file('SET007+6.ax',t23_zfmisc_1) ).
fof(t24_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(k1_tarski(A),k1_tarski(B))
=> A = B ),
file('SET007+6.ax',t24_zfmisc_1) ).
fof(t25_zfmisc_1,axiom,
! [A,B,C] :
~ ( A != C
& A != B
& r1_tarski(k1_tarski(A),k2_tarski(B,C)) ),
file('SET007+6.ax',t25_zfmisc_1) ).
fof(t26_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(k2_tarski(A,B),k1_tarski(C))
=> A = C ),
file('SET007+6.ax',t26_zfmisc_1) ).
fof(t27_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(k2_tarski(A,B),k1_tarski(C))
=> k2_tarski(A,B) = k1_tarski(C) ),
file('SET007+6.ax',t27_zfmisc_1) ).
fof(t28_zfmisc_1,axiom,
! [A,B,C,D] :
~ ( A != D
& A != C
& r1_tarski(k2_tarski(A,B),k2_tarski(C,D)) ),
file('SET007+6.ax',t28_zfmisc_1) ).
fof(t29_zfmisc_1,axiom,
! [A,B] :
( A != B
=> k5_xboole_0(k1_tarski(A),k1_tarski(B)) = k2_tarski(A,B) ),
file('SET007+6.ax',t29_zfmisc_1) ).
fof(t30_zfmisc_1,axiom,
! [A] : k1_zfmisc_1(k1_tarski(A)) = k2_tarski(k1_xboole_0,k1_tarski(A)),
file('SET007+6.ax',t30_zfmisc_1) ).
fof(t31_zfmisc_1,axiom,
! [A] : k3_tarski(k1_tarski(A)) = A,
file('SET007+6.ax',t31_zfmisc_1) ).
fof(t32_zfmisc_1,axiom,
! [A,B] : k3_tarski(k2_tarski(k1_tarski(A),k1_tarski(B))) = k2_tarski(A,B),
file('SET007+6.ax',t32_zfmisc_1) ).
fof(t33_zfmisc_1,axiom,
! [A,B,C,D] :
( k4_tarski(A,B) = k4_tarski(C,D)
=> ( B = D
& A = C ) ),
file('SET007+6.ax',t33_zfmisc_1) ).
fof(t34_zfmisc_1,axiom,
! [A,B,C,D] :
( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D)))
<=> ( B = D
& A = C ) ),
file('SET007+6.ax',t34_zfmisc_1) ).
fof(t35_zfmisc_1,axiom,
! [A,B] : k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) = k1_tarski(k4_tarski(A,B)),
file('SET007+6.ax',t35_zfmisc_1) ).
fof(t36_zfmisc_1,axiom,
! [A,B,C] :
( k2_zfmisc_1(k2_tarski(A,B),k1_tarski(C)) = k2_tarski(k4_tarski(A,C),k4_tarski(B,C))
& k2_zfmisc_1(k1_tarski(A),k2_tarski(B,C)) = k2_tarski(k4_tarski(A,B),k4_tarski(A,C)) ),
file('SET007+6.ax',t36_zfmisc_1) ).
fof(t37_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(k1_tarski(A),B)
<=> r2_hidden(A,B) ),
file('SET007+6.ax',t37_zfmisc_1) ).
fof(t38_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(k2_tarski(A,B),C)
<=> ( r2_hidden(B,C)
& r2_hidden(A,C) ) ),
file('SET007+6.ax',t38_zfmisc_1) ).
fof(t39_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(A,k1_tarski(B))
<=> ( A = k1_tarski(B)
| A = k1_xboole_0 ) ),
file('SET007+6.ax',t39_zfmisc_1) ).
fof(t40_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> ( r1_tarski(A,k4_xboole_0(B,k1_tarski(C)))
| r2_hidden(C,A) ) ),
file('SET007+6.ax',t40_zfmisc_1) ).
fof(t41_zfmisc_1,axiom,
! [A,B] :
~ ( ! [C] :
~ ( C != B
& r2_hidden(C,A) )
& A != k1_xboole_0
& A != k1_tarski(B) ),
file('SET007+6.ax',t41_zfmisc_1) ).
fof(t42_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(A,k2_tarski(B,C))
<=> ~ ( A != k2_tarski(B,C)
& A != k1_tarski(C)
& A != k1_tarski(B)
& A != k1_xboole_0 ) ),
file('SET007+6.ax',t42_zfmisc_1) ).
fof(t43_zfmisc_1,axiom,
! [A,B,C] :
~ ( ~ ( C = k1_xboole_0
& B = k1_tarski(A) )
& ~ ( C = k1_tarski(A)
& B = k1_xboole_0 )
& ~ ( C = k1_tarski(A)
& B = k1_tarski(A) )
& k1_tarski(A) = k2_xboole_0(B,C) ),
file('SET007+6.ax',t43_zfmisc_1) ).
fof(t44_zfmisc_1,axiom,
! [A,B,C] :
~ ( C != k1_xboole_0
& B != k1_xboole_0
& B != C
& k1_tarski(A) = k2_xboole_0(B,C) ),
file('SET007+6.ax',t44_zfmisc_1) ).
fof(t45_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(k2_xboole_0(k1_tarski(A),B),B)
=> r2_hidden(A,B) ),
file('SET007+6.ax',t45_zfmisc_1) ).
fof(t46_zfmisc_1,axiom,
! [A,B] :
( r2_hidden(A,B)
=> k2_xboole_0(k1_tarski(A),B) = B ),
file('SET007+6.ax',t46_zfmisc_1) ).
fof(t47_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(k2_xboole_0(k2_tarski(A,B),C),C)
=> r2_hidden(A,C) ),
file('SET007+6.ax',t47_zfmisc_1) ).
fof(t48_zfmisc_1,axiom,
! [A,B,C] :
( ( r2_hidden(C,B)
& r2_hidden(A,B) )
=> k2_xboole_0(k2_tarski(A,C),B) = B ),
file('SET007+6.ax',t48_zfmisc_1) ).
fof(t49_zfmisc_1,axiom,
! [A,B] : k2_xboole_0(k1_tarski(A),B) != k1_xboole_0,
file('SET007+6.ax',t49_zfmisc_1) ).
fof(t50_zfmisc_1,axiom,
! [A,B,C] : k2_xboole_0(k2_tarski(A,B),C) != k1_xboole_0,
file('SET007+6.ax',t50_zfmisc_1) ).
fof(t51_zfmisc_1,axiom,
! [A,B] :
( k3_xboole_0(A,k1_tarski(B)) = k1_tarski(B)
=> r2_hidden(B,A) ),
file('SET007+6.ax',t51_zfmisc_1) ).
fof(t52_zfmisc_1,axiom,
! [A,B] :
( r2_hidden(A,B)
=> k3_xboole_0(B,k1_tarski(A)) = k1_tarski(A) ),
file('SET007+6.ax',t52_zfmisc_1) ).
fof(t53_zfmisc_1,axiom,
! [A,B,C] :
( ( r2_hidden(C,B)
& r2_hidden(A,B) )
=> k3_xboole_0(k2_tarski(A,C),B) = k2_tarski(A,C) ),
file('SET007+6.ax',t53_zfmisc_1) ).
fof(t54_zfmisc_1,axiom,
! [A,B] :
~ ( r2_hidden(A,B)
& r1_xboole_0(k1_tarski(A),B) ),
file('SET007+6.ax',t54_zfmisc_1) ).
fof(t55_zfmisc_1,axiom,
! [A,B,C] :
~ ( r2_hidden(A,C)
& r1_xboole_0(k2_tarski(A,B),C) ),
file('SET007+6.ax',t55_zfmisc_1) ).
fof(t56_zfmisc_1,axiom,
! [A,B] :
( ~ r2_hidden(A,B)
=> r1_xboole_0(k1_tarski(A),B) ),
file('SET007+6.ax',t56_zfmisc_1) ).
fof(t57_zfmisc_1,axiom,
! [A,B,C] :
~ ( ~ r1_xboole_0(k2_tarski(A,C),B)
& ~ r2_hidden(C,B)
& ~ r2_hidden(A,B) ),
file('SET007+6.ax',t57_zfmisc_1) ).
fof(t58_zfmisc_1,axiom,
! [A,B] :
( k3_xboole_0(k1_tarski(A),B) = k1_tarski(A)
| r1_xboole_0(k1_tarski(A),B) ),
file('SET007+6.ax',t58_zfmisc_1) ).
fof(t59_zfmisc_1,axiom,
! [A,B,C] :
~ ( A != B
& r2_hidden(B,C)
& k3_xboole_0(k2_tarski(A,B),C) = k1_tarski(A) ),
file('SET007+6.ax',t59_zfmisc_1) ).
fof(t60_zfmisc_1,axiom,
! [A,B,C] :
( r2_hidden(A,B)
=> ( k3_xboole_0(k2_tarski(A,C),B) = k1_tarski(A)
| ( A != C
& r2_hidden(C,B) ) ) ),
file('SET007+6.ax',t60_zfmisc_1) ).
fof(t61_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t61_zfmisc_1) ).
fof(t62_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t62_zfmisc_1) ).
fof(t63_zfmisc_1,axiom,
! [A,B,C] :
( k3_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B)
=> r2_hidden(A,C) ),
file('SET007+6.ax',t63_zfmisc_1) ).
fof(t64_zfmisc_1,axiom,
! [A,B,C] :
( r2_hidden(A,k4_xboole_0(B,k1_tarski(C)))
<=> ( A != C
& r2_hidden(A,B) ) ),
file('SET007+6.ax',t64_zfmisc_1) ).
fof(t65_zfmisc_1,axiom,
! [A,B] :
( k4_xboole_0(A,k1_tarski(B)) = A
<=> ~ r2_hidden(B,A) ),
file('SET007+6.ax',t65_zfmisc_1) ).
fof(t66_zfmisc_1,axiom,
! [A,B] :
~ ( A != k1_tarski(B)
& A != k1_xboole_0
& k4_xboole_0(A,k1_tarski(B)) = k1_xboole_0 ),
file('SET007+6.ax',t66_zfmisc_1) ).
fof(t67_zfmisc_1,axiom,
! [A,B] :
( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A)
<=> ~ r2_hidden(A,B) ),
file('SET007+6.ax',t67_zfmisc_1) ).
fof(t68_zfmisc_1,axiom,
! [A,B] :
( k4_xboole_0(k1_tarski(A),B) = k1_xboole_0
<=> r2_hidden(A,B) ),
file('SET007+6.ax',t68_zfmisc_1) ).
fof(t69_zfmisc_1,axiom,
! [A,B] :
( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A)
| k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 ),
file('SET007+6.ax',t69_zfmisc_1) ).
fof(t70_zfmisc_1,axiom,
! [A,B,C] :
( k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(A)
<=> ( ( A = B
| r2_hidden(B,C) )
& ~ r2_hidden(A,C) ) ),
file('SET007+6.ax',t70_zfmisc_1) ).
fof(t71_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t71_zfmisc_1) ).
fof(t72_zfmisc_1,axiom,
! [A,B,C] :
( k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B)
<=> ( ~ r2_hidden(B,C)
& ~ r2_hidden(A,C) ) ),
file('SET007+6.ax',t72_zfmisc_1) ).
fof(t73_zfmisc_1,axiom,
! [A,B,C] :
( k4_xboole_0(k2_tarski(A,B),C) = k1_xboole_0
<=> ( r2_hidden(B,C)
& r2_hidden(A,C) ) ),
file('SET007+6.ax',t73_zfmisc_1) ).
fof(t74_zfmisc_1,axiom,
! [A,B,C] :
~ ( k4_xboole_0(k2_tarski(A,B),C) != k2_tarski(A,B)
& k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(B)
& k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(A)
& k4_xboole_0(k2_tarski(A,B),C) != k1_xboole_0 ),
file('SET007+6.ax',t74_zfmisc_1) ).
fof(t75_zfmisc_1,axiom,
! [A,B,C] :
( k4_xboole_0(A,k2_tarski(B,C)) = k1_xboole_0
<=> ~ ( A != k2_tarski(B,C)
& A != k1_tarski(C)
& A != k1_tarski(B)
& A != k1_xboole_0 ) ),
file('SET007+6.ax',t75_zfmisc_1) ).
fof(t76_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t76_zfmisc_1) ).
fof(t77_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t77_zfmisc_1) ).
fof(t78_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t78_zfmisc_1) ).
fof(t79_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_tarski(k1_zfmisc_1(A),k1_zfmisc_1(B)) ),
file('SET007+6.ax',t79_zfmisc_1) ).
fof(t80_zfmisc_1,axiom,
! [A] : r1_tarski(k1_tarski(A),k1_zfmisc_1(A)),
file('SET007+6.ax',t80_zfmisc_1) ).
fof(t81_zfmisc_1,axiom,
! [A,B] : r1_tarski(k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(k2_xboole_0(A,B))),
file('SET007+6.ax',t81_zfmisc_1) ).
fof(t82_zfmisc_1,axiom,
! [A,B] :
( k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) = k1_zfmisc_1(k2_xboole_0(A,B))
=> r3_xboole_0(A,B) ),
file('SET007+6.ax',t82_zfmisc_1) ).
fof(t83_zfmisc_1,axiom,
! [A,B] : k1_zfmisc_1(k3_xboole_0(A,B)) = k3_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)),
file('SET007+6.ax',t83_zfmisc_1) ).
fof(t84_zfmisc_1,axiom,
! [A,B] : r1_tarski(k1_zfmisc_1(k4_xboole_0(A,B)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)))),
file('SET007+6.ax',t84_zfmisc_1) ).
fof(t85_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t85_zfmisc_1) ).
fof(t86_zfmisc_1,axiom,
! [A,B] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(A,B)),k1_zfmisc_1(k4_xboole_0(B,A))),k1_zfmisc_1(k5_xboole_0(A,B))),
file('SET007+6.ax',t86_zfmisc_1) ).
fof(t87_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t87_zfmisc_1) ).
fof(t88_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t88_zfmisc_1) ).
fof(t89_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t89_zfmisc_1) ).
fof(t90_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t90_zfmisc_1) ).
fof(t91_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t91_zfmisc_1) ).
fof(t92_zfmisc_1,axiom,
! [A,B] :
( r2_hidden(A,B)
=> r1_tarski(A,k3_tarski(B)) ),
file('SET007+6.ax',t92_zfmisc_1) ).
fof(t93_zfmisc_1,axiom,
! [A,B] : k3_tarski(k2_tarski(A,B)) = k2_xboole_0(A,B),
file('SET007+6.ax',t93_zfmisc_1) ).
fof(t94_zfmisc_1,axiom,
! [A,B] :
( ! [C] :
( r2_hidden(C,A)
=> r1_tarski(C,B) )
=> r1_tarski(k3_tarski(A),B) ),
file('SET007+6.ax',t94_zfmisc_1) ).
fof(t95_zfmisc_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_tarski(k3_tarski(A),k3_tarski(B)) ),
file('SET007+6.ax',t95_zfmisc_1) ).
fof(t96_zfmisc_1,axiom,
! [A,B] : k3_tarski(k2_xboole_0(A,B)) = k2_xboole_0(k3_tarski(A),k3_tarski(B)),
file('SET007+6.ax',t96_zfmisc_1) ).
fof(t97_zfmisc_1,axiom,
! [A,B] : r1_tarski(k3_tarski(k3_xboole_0(A,B)),k3_xboole_0(k3_tarski(A),k3_tarski(B))),
file('SET007+6.ax',t97_zfmisc_1) ).
fof(t98_zfmisc_1,axiom,
! [A,B] :
( ! [C] :
( r2_hidden(C,A)
=> r1_xboole_0(C,B) )
=> r1_xboole_0(k3_tarski(A),B) ),
file('SET007+6.ax',t98_zfmisc_1) ).
fof(t99_zfmisc_1,axiom,
! [A] : k3_tarski(k1_zfmisc_1(A)) = A,
file('SET007+6.ax',t99_zfmisc_1) ).
fof(t100_zfmisc_1,axiom,
! [A] : r1_tarski(A,k1_zfmisc_1(k3_tarski(A))),
file('SET007+6.ax',t100_zfmisc_1) ).
fof(t101_zfmisc_1,axiom,
! [A,B] :
( ! [C,D] :
( ( r2_hidden(D,k2_xboole_0(A,B))
& r2_hidden(C,k2_xboole_0(A,B)) )
=> ( r1_xboole_0(C,D)
| C = D ) )
=> k3_tarski(k3_xboole_0(A,B)) = k3_xboole_0(k3_tarski(A),k3_tarski(B)) ),
file('SET007+6.ax',t101_zfmisc_1) ).
fof(t102_zfmisc_1,axiom,
! [A,B,C] :
~ ( ! [D,E] : k4_tarski(D,E) != A
& r2_hidden(A,k2_zfmisc_1(B,C)) ),
file('SET007+6.ax',t102_zfmisc_1) ).
fof(t103_zfmisc_1,axiom,
! [A,B,C,D] :
~ ( ! [E,F] :
~ ( D = k4_tarski(E,F)
& r2_hidden(F,C)
& r2_hidden(E,B) )
& r2_hidden(D,A)
& r1_tarski(A,k2_zfmisc_1(B,C)) ),
file('SET007+6.ax',t103_zfmisc_1) ).
fof(t104_zfmisc_1,axiom,
! [A,B,C,D,E] :
~ ( ! [F,G] :
~ ( r2_hidden(G,k3_xboole_0(C,E))
& r2_hidden(F,k3_xboole_0(B,D))
& A = k4_tarski(F,G) )
& r2_hidden(A,k3_xboole_0(k2_zfmisc_1(B,C),k2_zfmisc_1(D,E))) ),
file('SET007+6.ax',t104_zfmisc_1) ).
fof(t105_zfmisc_1,axiom,
! [A,B] : r1_tarski(k2_zfmisc_1(A,B),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(A,B)))),
file('SET007+6.ax',t105_zfmisc_1) ).
fof(t106_zfmisc_1,axiom,
! [A,B,C,D] :
( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))
<=> ( r2_hidden(B,D)
& r2_hidden(A,C) ) ),
file('SET007+6.ax',t106_zfmisc_1) ).
fof(t107_zfmisc_1,axiom,
! [A,B,C,D] :
( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))
=> r2_hidden(k4_tarski(B,A),k2_zfmisc_1(D,C)) ),
file('SET007+6.ax',t107_zfmisc_1) ).
fof(t108_zfmisc_1,axiom,
! [A,B,C,D] :
( ! [E,F] :
( r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B))
<=> r2_hidden(k4_tarski(E,F),k2_zfmisc_1(C,D)) )
=> k2_zfmisc_1(A,B) = k2_zfmisc_1(C,D) ),
file('SET007+6.ax',t108_zfmisc_1) ).
fof(t109_zfmisc_1,axiom,
! [A,B,C,D] :
( ( ! [E,F] :
( r2_hidden(k4_tarski(E,F),A)
=> r2_hidden(k4_tarski(E,F),D) )
& r1_tarski(A,k2_zfmisc_1(B,C)) )
=> r1_tarski(A,D) ),
file('SET007+6.ax',t109_zfmisc_1) ).
fof(t110_zfmisc_1,axiom,
! [A,B,C,D,E,F] :
( ( ! [G,H] :
( r2_hidden(k4_tarski(G,H),A)
<=> r2_hidden(k4_tarski(G,H),D) )
& r1_tarski(D,k2_zfmisc_1(E,F))
& r1_tarski(A,k2_zfmisc_1(B,C)) )
=> A = D ),
file('SET007+6.ax',t110_zfmisc_1) ).
fof(t111_zfmisc_1,axiom,
! [A,B] :
( ( ! [C,D] :
( r2_hidden(k4_tarski(C,D),A)
=> r2_hidden(k4_tarski(C,D),B) )
& ! [C] :
~ ( ! [D,E] : C != k4_tarski(D,E)
& r2_hidden(C,A) ) )
=> r1_tarski(A,B) ),
file('SET007+6.ax',t111_zfmisc_1) ).
fof(t112_zfmisc_1,axiom,
! [A,B] :
( ( ! [C,D] :
( r2_hidden(k4_tarski(C,D),A)
<=> r2_hidden(k4_tarski(C,D),B) )
& ! [C] :
~ ( ! [D,E] : C != k4_tarski(D,E)
& r2_hidden(C,B) )
& ! [C] :
~ ( ! [D,E] : C != k4_tarski(D,E)
& r2_hidden(C,A) ) )
=> A = B ),
file('SET007+6.ax',t112_zfmisc_1) ).
fof(t113_zfmisc_1,axiom,
! [A,B] :
( k2_zfmisc_1(A,B) = k1_xboole_0
<=> ( B = k1_xboole_0
| A = k1_xboole_0 ) ),
file('SET007+6.ax',t113_zfmisc_1) ).
fof(t114_zfmisc_1,axiom,
! [A,B] :
( k2_zfmisc_1(A,B) = k2_zfmisc_1(B,A)
=> ( A = B
| B = k1_xboole_0
| A = k1_xboole_0 ) ),
file('SET007+6.ax',t114_zfmisc_1) ).
fof(t115_zfmisc_1,axiom,
! [A,B] :
( k2_zfmisc_1(A,A) = k2_zfmisc_1(B,B)
=> A = B ),
file('SET007+6.ax',t115_zfmisc_1) ).
fof(t116_zfmisc_1,axiom,
! [A] :
( r1_tarski(A,k2_zfmisc_1(A,A))
=> A = k1_xboole_0 ),
file('SET007+6.ax',t116_zfmisc_1) ).
fof(t117_zfmisc_1,axiom,
! [A,B,C] :
~ ( ~ r1_tarski(B,C)
& ( r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(A,C))
| r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(C,A)) )
& A != k1_xboole_0 ),
file('SET007+6.ax',t117_zfmisc_1) ).
fof(t118_zfmisc_1,axiom,
! [A,B,C] :
( r1_tarski(A,B)
=> ( r1_tarski(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ) ),
file('SET007+6.ax',t118_zfmisc_1) ).
fof(t119_zfmisc_1,axiom,
! [A,B,C,D] :
( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) ),
file('SET007+6.ax',t119_zfmisc_1) ).
fof(t120_zfmisc_1,axiom,
! [A,B,C] :
( k2_zfmisc_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& k2_zfmisc_1(k2_xboole_0(A,B),C) = k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ),
file('SET007+6.ax',t120_zfmisc_1) ).
fof(t121_zfmisc_1,axiom,
! [A,B,C,D] : k2_zfmisc_1(k2_xboole_0(A,B),k2_xboole_0(C,D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(A,D)),k2_zfmisc_1(B,C)),k2_zfmisc_1(B,D)),
file('SET007+6.ax',t121_zfmisc_1) ).
fof(t122_zfmisc_1,axiom,
! [A,B,C] :
( k2_zfmisc_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& k2_zfmisc_1(k3_xboole_0(A,B),C) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ),
file('SET007+6.ax',t122_zfmisc_1) ).
fof(t123_zfmisc_1,axiom,
! [A,B,C,D] : k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(C,D)) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)),
file('SET007+6.ax',t123_zfmisc_1) ).
fof(t124_zfmisc_1,axiom,
! [A,B,C,D] :
( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> k3_xboole_0(k2_zfmisc_1(A,D),k2_zfmisc_1(B,C)) = k2_zfmisc_1(A,C) ),
file('SET007+6.ax',t124_zfmisc_1) ).
fof(t125_zfmisc_1,axiom,
! [A,B,C] :
( k2_zfmisc_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& k2_zfmisc_1(k4_xboole_0(A,B),C) = k4_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ),
file('SET007+6.ax',t125_zfmisc_1) ).
fof(t126_zfmisc_1,axiom,
! [A,B,C,D] : k4_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(A,C),B),k2_zfmisc_1(A,k4_xboole_0(B,D))),
file('SET007+6.ax',t126_zfmisc_1) ).
fof(t127_zfmisc_1,axiom,
! [A,B,C,D] :
( ( r1_xboole_0(C,D)
| r1_xboole_0(A,B) )
=> r1_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) ),
file('SET007+6.ax',t127_zfmisc_1) ).
fof(t128_zfmisc_1,axiom,
! [A,B,C,D] :
( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D))
<=> ( r2_hidden(B,D)
& A = C ) ),
file('SET007+6.ax',t128_zfmisc_1) ).
fof(t129_zfmisc_1,axiom,
! [A,B,C,D] :
( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D)))
<=> ( B = D
& r2_hidden(A,C) ) ),
file('SET007+6.ax',t129_zfmisc_1) ).
fof(t130_zfmisc_1,axiom,
! [A,B] :
( A != k1_xboole_0
=> ( k2_zfmisc_1(A,k1_tarski(B)) != k1_xboole_0
& k2_zfmisc_1(k1_tarski(B),A) != k1_xboole_0 ) ),
file('SET007+6.ax',t130_zfmisc_1) ).
fof(t131_zfmisc_1,axiom,
! [A,B,C,D] :
( A != B
=> ( r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B)))
& r1_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),D)) ) ),
file('SET007+6.ax',t131_zfmisc_1) ).
fof(t132_zfmisc_1,axiom,
! [A,B,C] :
( k2_zfmisc_1(C,k2_tarski(A,B)) = k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(C,k1_tarski(B)))
& k2_zfmisc_1(k2_tarski(A,B),C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),C)) ),
file('SET007+6.ax',t132_zfmisc_1) ).
fof(t133_zfmisc_1,axiom,
$true,
file('SET007+6.ax',t133_zfmisc_1) ).
fof(t134_zfmisc_1,axiom,
! [A,B,C,D] :
( k2_zfmisc_1(A,B) = k2_zfmisc_1(C,D)
=> ( ( B = D
& A = C )
| B = k1_xboole_0
| A = k1_xboole_0 ) ),
file('SET007+6.ax',t134_zfmisc_1) ).
fof(t135_zfmisc_1,axiom,
! [A,B] :
( ( r1_tarski(A,k2_zfmisc_1(B,A))
| r1_tarski(A,k2_zfmisc_1(A,B)) )
=> A = k1_xboole_0 ),
file('SET007+6.ax',t135_zfmisc_1) ).
fof(t136_zfmisc_1,axiom,
! [A] :
? [B] :
( ! [C] :
~ ( ~ r2_hidden(C,B)
& ~ r2_tarski(C,B)
& r1_tarski(C,B) )
& ! [C] :
( r2_hidden(C,B)
=> r2_hidden(k1_zfmisc_1(C),B) )
& ! [C,D] :
( ( r1_tarski(D,C)
& r2_hidden(C,B) )
=> r2_hidden(D,B) )
& r2_hidden(A,B) ),
file('SET007+6.ax',t136_zfmisc_1) ).
fof(t137_zfmisc_1,axiom,
! [A,B,C,D,E] :
( ( r2_hidden(A,k2_zfmisc_1(D,E))
& r2_hidden(A,k2_zfmisc_1(B,C)) )
=> r2_hidden(A,k2_zfmisc_1(k3_xboole_0(B,D),k3_xboole_0(C,E))) ),
file('SET007+6.ax',t137_zfmisc_1) ).
fof(t138_zfmisc_1,axiom,
! [A,B,C,D] :
( r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D))
=> ( ( r1_tarski(B,D)
& r1_tarski(A,C) )
| k2_zfmisc_1(A,B) = k1_xboole_0 ) ),
file('SET007+6.ax',t138_zfmisc_1) ).
fof(t139_zfmisc_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C,D] :
( ( r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C))
| r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) )
=> r1_tarski(B,D) ) ),
file('SET007+6.ax',t139_zfmisc_1) ).
fof(t140_zfmisc_1,axiom,
! [A,B] :
( r2_hidden(A,B)
=> k2_xboole_0(k4_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B ),
file('SET007+6.ax',t140_zfmisc_1) ).
fof(t141_zfmisc_1,axiom,
! [A,B] :
( ~ r2_hidden(A,B)
=> k4_xboole_0(k2_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B ),
file('SET007+6.ax',t141_zfmisc_1) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
file('SET007+6.ax',dt_k1_zfmisc_1) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('SET007+6.ax',dt_k2_zfmisc_1) ).
fof(dt_k3_zfmisc_1,axiom,
$true,
file('SET007+6.ax',dt_k3_zfmisc_1) ).
fof(dt_k4_zfmisc_1,axiom,
$true,
file('SET007+6.ax',dt_k4_zfmisc_1) ).
fof(fc1_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
file('SET007+7.ax',fc1_subset_1) ).
fof(fc2_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_tarski(A)),
file('SET007+7.ax',fc2_subset_1) ).
fof(fc3_subset_1,axiom,
! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)),
file('SET007+7.ax',fc3_subset_1) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('SET007+7.ax',rc1_subset_1) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
file('SET007+7.ax',fc4_subset_1) ).
fof(fc5_subset_1,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(C)
& ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k3_zfmisc_1(A,B,C)) ),
file('SET007+7.ax',fc5_subset_1) ).
fof(fc6_subset_1,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(D)
& ~ v1_xboole_0(C)
& ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k4_zfmisc_1(A,B,C,D)) ),
file('SET007+7.ax',fc6_subset_1) ).
fof(rc2_subset_1,axiom,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('SET007+7.ax',rc2_subset_1) ).
fof(d1_subset_1,axiom,
$true,
file('SET007+7.ax',d1_subset_1) ).
fof(d2_subset_1,axiom,
! [A,B] :
( ( v1_xboole_0(A)
=> ( m1_subset_1(B,A)
<=> v1_xboole_0(B) ) )
& ( ~ v1_xboole_0(A)
=> ( m1_subset_1(B,A)
<=> r2_hidden(B,A) ) ) ),
file('SET007+7.ax',d2_subset_1) ).
fof(d3_subset_1,axiom,
! [A] : k1_subset_1(A) = k1_xboole_0,
file('SET007+7.ax',d3_subset_1) ).
fof(d4_subset_1,axiom,
! [A] : k2_subset_1(A) = A,
file('SET007+7.ax',d4_subset_1) ).
fof(t1_subset_1,axiom,
$true,
file('SET007+7.ax',t1_subset_1) ).
fof(t2_subset_1,axiom,
$true,
file('SET007+7.ax',t2_subset_1) ).
fof(t3_subset_1,axiom,
$true,
file('SET007+7.ax',t3_subset_1) ).
fof(t4_subset_1,axiom,
! [A] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)),
file('SET007+7.ax',t4_subset_1) ).
fof(t5_subset_1,axiom,
$true,
file('SET007+7.ax',t5_subset_1) ).
fof(t6_subset_1,axiom,
$true,
file('SET007+7.ax',t6_subset_1) ).
fof(t7_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,B)
=> r2_hidden(D,C) ) )
=> r1_tarski(B,C) ) ) ),
file('SET007+7.ax',t7_subset_1) ).
fof(t8_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,B)
<=> r2_hidden(D,C) ) )
=> B = C ) ) ),
file('SET007+7.ax',t8_subset_1) ).
fof(t9_subset_1,axiom,
$true,
file('SET007+7.ax',t9_subset_1) ).
fof(t10_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ~ ( ! [C] :
( m1_subset_1(C,A)
=> ~ r2_hidden(C,B) )
& B != k1_xboole_0 ) ),
file('SET007+7.ax',t10_subset_1) ).
fof(d5_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> k3_subset_1(A,B) = k4_xboole_0(A,B) ),
file('SET007+7.ax',d5_subset_1) ).
fof(t11_subset_1,axiom,
$true,
file('SET007+7.ax',t11_subset_1) ).
fof(t12_subset_1,axiom,
$true,
file('SET007+7.ax',t12_subset_1) ).
fof(t13_subset_1,axiom,
$true,
file('SET007+7.ax',t13_subset_1) ).
fof(t14_subset_1,axiom,
$true,
file('SET007+7.ax',t14_subset_1) ).
fof(t15_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ( ! [E] :
( m1_subset_1(E,A)
=> ( r2_hidden(E,B)
<=> ( r2_hidden(E,D)
| r2_hidden(E,C) ) ) )
=> B = k4_subset_1(A,C,D) ) ) ) ),
file('SET007+7.ax',t15_subset_1) ).
fof(t16_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ( ! [E] :
( m1_subset_1(E,A)
=> ( r2_hidden(E,B)
<=> ( r2_hidden(E,D)
& r2_hidden(E,C) ) ) )
=> B = k5_subset_1(A,C,D) ) ) ) ),
file('SET007+7.ax',t16_subset_1) ).
fof(t17_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ( ! [E] :
( m1_subset_1(E,A)
=> ( r2_hidden(E,B)
<=> ( ~ r2_hidden(E,D)
& r2_hidden(E,C) ) ) )
=> B = k6_subset_1(A,C,D) ) ) ) ),
file('SET007+7.ax',t17_subset_1) ).
fof(t18_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ( ! [E] :
( m1_subset_1(E,A)
=> ( r2_hidden(E,B)
<=> ~ ( r2_hidden(E,C)
<=> r2_hidden(E,D) ) ) )
=> B = k7_subset_1(A,C,D) ) ) ) ),
file('SET007+7.ax',t18_subset_1) ).
fof(t19_subset_1,axiom,
$true,
file('SET007+7.ax',t19_subset_1) ).
fof(t20_subset_1,axiom,
$true,
file('SET007+7.ax',t20_subset_1) ).
fof(t21_subset_1,axiom,
! [A] : k1_subset_1(A) = k3_subset_1(A,k2_subset_1(A)),
file('SET007+7.ax',t21_subset_1) ).
fof(t22_subset_1,axiom,
! [A] : k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A)),
file('SET007+7.ax',t22_subset_1) ).
fof(t23_subset_1,axiom,
$true,
file('SET007+7.ax',t23_subset_1) ).
fof(t24_subset_1,axiom,
$true,
file('SET007+7.ax',t24_subset_1) ).
fof(t25_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> k4_subset_1(A,B,k3_subset_1(A,B)) = k2_subset_1(A) ),
file('SET007+7.ax',t25_subset_1) ).
fof(t26_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> r1_xboole_0(B,k3_subset_1(A,B)) ),
file('SET007+7.ax',t26_subset_1) ).
fof(t27_subset_1,axiom,
$true,
file('SET007+7.ax',t27_subset_1) ).
fof(t28_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> k4_subset_1(A,B,k2_subset_1(A)) = k2_subset_1(A) ),
file('SET007+7.ax',t28_subset_1) ).
fof(t29_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> k3_subset_1(A,k4_subset_1(A,B,C)) = k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C)) ) ),
file('SET007+7.ax',t29_subset_1) ).
fof(t30_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> k3_subset_1(A,k5_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C)) ) ),
file('SET007+7.ax',t30_subset_1) ).
fof(t31_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_tarski(B,C)
<=> r1_tarski(k3_subset_1(A,C),k3_subset_1(A,B)) ) ) ),
file('SET007+7.ax',t31_subset_1) ).
fof(t32_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> k6_subset_1(A,B,C) = k5_subset_1(A,B,k3_subset_1(A,C)) ) ),
file('SET007+7.ax',t32_subset_1) ).
fof(t33_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> k3_subset_1(A,k6_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),C) ) ),
file('SET007+7.ax',t33_subset_1) ).
fof(t34_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> k3_subset_1(A,k7_subset_1(A,B,C)) = k4_subset_1(A,k5_subset_1(A,B,C),k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))) ) ),
file('SET007+7.ax',t34_subset_1) ).
fof(t35_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_tarski(B,k3_subset_1(A,C))
=> r1_tarski(C,k3_subset_1(A,B)) ) ) ),
file('SET007+7.ax',t35_subset_1) ).
fof(t36_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_tarski(k3_subset_1(A,B),C)
=> r1_tarski(k3_subset_1(A,C),B) ) ) ),
file('SET007+7.ax',t36_subset_1) ).
fof(t37_subset_1,axiom,
$true,
file('SET007+7.ax',t37_subset_1) ).
fof(t38_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( r1_tarski(B,k3_subset_1(A,B))
<=> B = k1_subset_1(A) ) ),
file('SET007+7.ax',t38_subset_1) ).
fof(t39_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( r1_tarski(k3_subset_1(A,B),B)
<=> B = k2_subset_1(A) ) ),
file('SET007+7.ax',t39_subset_1) ).
fof(t40_subset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ( r1_tarski(B,k3_subset_1(A,C))
& r1_tarski(B,C) )
=> B = k1_xboole_0 ) ),
file('SET007+7.ax',t40_subset_1) ).
fof(t41_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> r1_tarski(k3_subset_1(A,k4_subset_1(A,B,C)),k3_subset_1(A,B)) ) ),
file('SET007+7.ax',t41_subset_1) ).
fof(t42_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> r1_tarski(k3_subset_1(A,B),k3_subset_1(A,k5_subset_1(A,B,C))) ) ),
file('SET007+7.ax',t42_subset_1) ).
fof(t43_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_xboole_0(B,C)
<=> r1_tarski(B,k3_subset_1(A,C)) ) ) ),
file('SET007+7.ax',t43_subset_1) ).
fof(t44_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_xboole_0(B,k3_subset_1(A,C))
<=> r1_tarski(B,C) ) ) ),
file('SET007+7.ax',t44_subset_1) ).
fof(t45_subset_1,axiom,
$true,
file('SET007+7.ax',t45_subset_1) ).
fof(t46_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ( r1_xboole_0(k3_subset_1(A,B),k3_subset_1(A,C))
& r1_xboole_0(B,C) )
=> B = k3_subset_1(A,C) ) ) ),
file('SET007+7.ax',t46_subset_1) ).
fof(t47_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ( ( r1_xboole_0(D,C)
& r1_tarski(B,C) )
=> r1_tarski(B,k3_subset_1(A,D)) ) ) ) ),
file('SET007+7.ax',t47_subset_1) ).
fof(t48_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ! [D] :
( m1_subset_1(D,B)
=> r2_hidden(D,C) )
=> r1_tarski(B,C) ) ) ),
file('SET007+7.ax',t48_subset_1) ).
fof(t49_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( ! [C] :
( m1_subset_1(C,A)
=> r2_hidden(C,B) )
=> A = B ) ),
file('SET007+7.ax',t49_subset_1) ).
fof(t50_subset_1,axiom,
! [A] :
( A != k1_xboole_0
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,A)
=> ( ~ r2_hidden(C,B)
=> r2_hidden(C,k3_subset_1(A,B)) ) ) ) ),
file('SET007+7.ax',t50_subset_1) ).
fof(t51_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,B)
<=> ~ r2_hidden(D,C) ) )
=> B = k3_subset_1(A,C) ) ) ),
file('SET007+7.ax',t51_subset_1) ).
fof(t52_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ! [D] :
( m1_subset_1(D,A)
=> ( ~ r2_hidden(D,B)
<=> r2_hidden(D,C) ) )
=> B = k3_subset_1(A,C) ) ) ),
file('SET007+7.ax',t52_subset_1) ).
fof(t53_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( ! [D] :
( m1_subset_1(D,A)
=> ~ ( r2_hidden(D,B)
<=> r2_hidden(D,C) ) )
=> B = k3_subset_1(A,C) ) ) ),
file('SET007+7.ax',t53_subset_1) ).
fof(t54_subset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ~ ( r2_hidden(B,C)
& r2_hidden(B,k3_subset_1(A,C)) ) ),
file('SET007+7.ax',t54_subset_1) ).
fof(t55_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k1_tarski(B),k1_zfmisc_1(A)) ) ),
file('SET007+7.ax',t55_subset_1) ).
fof(t56_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k2_tarski(B,C),k1_zfmisc_1(A)) ) ) ),
file('SET007+7.ax',t56_subset_1) ).
fof(t57_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k1_enumset1(B,C,D),k1_zfmisc_1(A)) ) ) ) ),
file('SET007+7.ax',t57_subset_1) ).
fof(t58_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k2_enumset1(B,C,D,E),k1_zfmisc_1(A)) ) ) ) ) ),
file('SET007+7.ax',t58_subset_1) ).
fof(t59_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ! [F] :
( m1_subset_1(F,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k3_enumset1(B,C,D,E,F),k1_zfmisc_1(A)) ) ) ) ) ) ),
file('SET007+7.ax',t59_subset_1) ).
fof(t60_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ! [F] :
( m1_subset_1(F,A)
=> ! [G] :
( m1_subset_1(G,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k4_enumset1(B,C,D,E,F,G),k1_zfmisc_1(A)) ) ) ) ) ) ) ),
file('SET007+7.ax',t60_subset_1) ).
fof(t61_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ! [F] :
( m1_subset_1(F,A)
=> ! [G] :
( m1_subset_1(G,A)
=> ! [H] :
( m1_subset_1(H,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k5_enumset1(B,C,D,E,F,G,H),k1_zfmisc_1(A)) ) ) ) ) ) ) ) ),
file('SET007+7.ax',t61_subset_1) ).
fof(t62_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ! [F] :
( m1_subset_1(F,A)
=> ! [G] :
( m1_subset_1(G,A)
=> ! [H] :
( m1_subset_1(H,A)
=> ! [I] :
( m1_subset_1(I,A)
=> ( A != k1_xboole_0
=> m1_subset_1(k6_enumset1(B,C,D,E,F,G,H,I),k1_zfmisc_1(A)) ) ) ) ) ) ) ) ) ),
file('SET007+7.ax',t62_subset_1) ).
fof(t63_subset_1,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(k1_tarski(A),k1_zfmisc_1(B)) ),
file('SET007+7.ax',t63_subset_1) ).
fof(d6_subset_1,axiom,
! [A] :
( ~ $true
=> ! [B] :
( m1_subset_1(B,A)
=> B = k8_subset_1(A) ) ),
file('SET007+7.ax',d6_subset_1) ).
fof(s1_subset_1,axiom,
? [A] :
( ! [B] :
( r2_hidden(B,A)
<=> ( p1_s1_subset_1(B)
& r2_hidden(B,f1_s1_subset_1) ) )
& m1_subset_1(A,k1_zfmisc_1(f1_s1_subset_1)) ),
file('SET007+7.ax',s1_subset_1) ).
fof(s2_subset_1,axiom,
! [A] :
( m1_subset_1(A,k1_zfmisc_1(f1_s2_subset_1))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(f1_s2_subset_1))
=> ( ( ! [C] :
( m1_subset_1(C,f1_s2_subset_1)
=> ( r2_hidden(C,B)
<=> p1_s2_subset_1(C) ) )
& ! [C] :
( m1_subset_1(C,f1_s2_subset_1)
=> ( r2_hidden(C,A)
<=> p1_s2_subset_1(C) ) ) )
=> A = B ) ) ),
file('SET007+7.ax',s2_subset_1) ).
fof(s3_subset_1,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s3_subset_1)
=> ( r2_hidden(B,A)
<=> p1_s3_subset_1(B) ) )
& m1_subset_1(A,k1_zfmisc_1(f1_s3_subset_1)) ),
file('SET007+7.ax',s3_subset_1) ).
fof(s4_subset_1,axiom,
( ( ! [A] :
( m1_subset_1(A,f1_s4_subset_1)
=> ( r2_hidden(A,f3_s4_subset_1)
<=> p1_s4_subset_1(A) ) )
& ! [A] :
( m1_subset_1(A,f1_s4_subset_1)
=> ( r2_hidden(A,f2_s4_subset_1)
<=> p1_s4_subset_1(A) ) ) )
=> f2_s4_subset_1 = f3_s4_subset_1 ),
file('SET007+7.ax',s4_subset_1) ).
fof(dt_m1_subset_1,axiom,
$true,
file('SET007+7.ax',dt_m1_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('SET007+7.ax',existence_m1_subset_1) ).
fof(dt_m2_subset_1,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ! [C] :
( m2_subset_1(C,A,B)
=> m1_subset_1(C,A) ) ),
file('SET007+7.ax',dt_m2_subset_1) ).
fof(existence_m2_subset_1,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ? [C] : m2_subset_1(C,A,B) ),
file('SET007+7.ax',existence_m2_subset_1) ).
fof(redefinition_m2_subset_1,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ! [C] :
( m2_subset_1(C,A,B)
<=> m1_subset_1(C,B) ) ),
file('SET007+7.ax',redefinition_m2_subset_1) ).
fof(symmetry_r1_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ( r1_subset_1(A,B)
=> r1_subset_1(B,A) ) ),
file('SET007+7.ax',symmetry_r1_subset_1) ).
fof(irreflexivity_r1_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ r1_subset_1(A,A) ),
file('SET007+7.ax',irreflexivity_r1_subset_1) ).
fof(redefinition_r1_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ( r1_subset_1(A,B)
<=> r1_xboole_0(A,B) ) ),
file('SET007+7.ax',redefinition_r1_subset_1) ).
fof(symmetry_r2_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ( r2_subset_1(A,B)
=> r2_subset_1(B,A) ) ),
file('SET007+7.ax',symmetry_r2_subset_1) ).
fof(irreflexivity_r2_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ r2_subset_1(A,A) ),
file('SET007+7.ax',irreflexivity_r2_subset_1) ).
fof(redefinition_r2_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ( r2_subset_1(A,B)
<=> r1_xboole_0(A,B) ) ),
file('SET007+7.ax',redefinition_r2_subset_1) ).
fof(dt_k1_subset_1,axiom,
! [A] :
( m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A))
& v1_xboole_0(k1_subset_1(A)) ),
file('SET007+7.ax',dt_k1_subset_1) ).
fof(dt_k2_subset_1,axiom,
! [A] : m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A)),
file('SET007+7.ax',dt_k2_subset_1) ).
fof(dt_k3_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A)) ),
file('SET007+7.ax',dt_k3_subset_1) ).
fof(involutiveness_k3_subset_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> k3_subset_1(A,k3_subset_1(A,B)) = B ),
file('SET007+7.ax',involutiveness_k3_subset_1) ).
fof(dt_k4_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)) ),
file('SET007+7.ax',dt_k4_subset_1) ).
fof(commutativity_k4_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ),
file('SET007+7.ax',commutativity_k4_subset_1) ).
fof(idempotence_k4_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,B) = B ),
file('SET007+7.ax',idempotence_k4_subset_1) ).
fof(redefinition_k4_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
file('SET007+7.ax',redefinition_k4_subset_1) ).
fof(dt_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ),
file('SET007+7.ax',dt_k5_subset_1) ).
fof(commutativity_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ),
file('SET007+7.ax',commutativity_k5_subset_1) ).
fof(idempotence_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,B) = B ),
file('SET007+7.ax',idempotence_k5_subset_1) ).
fof(redefinition_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,C) = k3_xboole_0(B,C) ),
file('SET007+7.ax',redefinition_k5_subset_1) ).
fof(dt_k6_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> m1_subset_1(k6_subset_1(A,B,C),k1_zfmisc_1(A)) ),
file('SET007+7.ax',dt_k6_subset_1) ).
fof(redefinition_k6_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k6_subset_1(A,B,C) = k4_xboole_0(B,C) ),
file('SET007+7.ax',redefinition_k6_subset_1) ).
fof(dt_k7_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> m1_subset_1(k7_subset_1(A,B,C),k1_zfmisc_1(A)) ),
file('SET007+7.ax',dt_k7_subset_1) ).
fof(commutativity_k7_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k7_subset_1(A,B,C) = k7_subset_1(A,C,B) ),
file('SET007+7.ax',commutativity_k7_subset_1) ).
fof(redefinition_k7_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k7_subset_1(A,B,C) = k5_xboole_0(B,C) ),
file('SET007+7.ax',redefinition_k7_subset_1) ).
fof(dt_k8_subset_1,axiom,
! [A] : m1_subset_1(k8_subset_1(A),A),
file('SET007+7.ax',dt_k8_subset_1) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('SET007+9.ax',t1_subset) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('SET007+9.ax',t2_subset) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('SET007+9.ax',t3_subset) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('SET007+9.ax',t4_subset) ).
fof(t5_subset,axiom,
! [A,B,C] :
~ ( v1_xboole_0(C)
& m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) ),
file('SET007+9.ax',t5_subset) ).
fof(rc1_relat_1,axiom,
? [A] :
( v1_relat_1(A)
& v1_xboole_0(A) ),
file('SET007+10.ax',rc1_relat_1) ).
fof(fc1_relat_1,axiom,
! [A,B] :
( ( v1_relat_1(B)
& v1_relat_1(A) )
=> v1_relat_1(k3_xboole_0(A,B)) ),
file('SET007+10.ax',fc1_relat_1) ).
fof(fc2_relat_1,axiom,
! [A,B] :
( ( v1_relat_1(B)
& v1_relat_1(A) )
=> v1_relat_1(k2_xboole_0(A,B)) ),
file('SET007+10.ax',fc2_relat_1) ).
fof(fc3_relat_1,axiom,
! [A,B] :
( ( v1_relat_1(B)
& v1_relat_1(A) )
=> v1_relat_1(k4_xboole_0(A,B)) ),
file('SET007+10.ax',fc3_relat_1) ).
fof(cc1_relat_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_relat_1(A) ),
file('SET007+10.ax',cc1_relat_1) ).
fof(fc4_relat_1,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('SET007+10.ax',fc4_relat_1) ).
fof(rc2_relat_1,axiom,
? [A] :
( v1_relat_1(A)
& ~ v1_xboole_0(A) ),
file('SET007+10.ax',rc2_relat_1) ).
fof(fc5_relat_1,axiom,
! [A] :
( ( v1_relat_1(A)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k1_relat_1(A)) ),
file('SET007+10.ax',fc5_relat_1) ).
fof(fc6_relat_1,axiom,
! [A] :
( ( v1_relat_1(A)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k2_relat_1(A)) ),
file('SET007+10.ax',fc6_relat_1) ).
fof(fc7_relat_1,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v1_relat_1(k1_relat_1(A))
& v1_xboole_0(k1_relat_1(A)) ) ),
file('SET007+10.ax',fc7_relat_1) ).
fof(fc8_relat_1,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v1_relat_1(k2_relat_1(A))
& v1_xboole_0(k2_relat_1(A)) ) ),
file('SET007+10.ax',fc8_relat_1) ).
fof(fc9_relat_1,axiom,
! [A,B] :
( ( v1_relat_1(B)
& v1_xboole_0(A) )
=> ( v1_relat_1(k5_relat_1(A,B))
& v1_xboole_0(k5_relat_1(A,B)) ) ),
file('SET007+10.ax',fc9_relat_1) ).
fof(fc10_relat_1,axiom,
! [A,B] :
( ( v1_relat_1(B)
& v1_xboole_0(A) )
=> ( v1_relat_1(k5_relat_1(B,A))
& v1_xboole_0(k5_relat_1(B,A)) ) ),
file('SET007+10.ax',fc10_relat_1) ).
fof(fc11_relat_1,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v1_relat_1(k4_relat_1(A))
& v1_xboole_0(k4_relat_1(A)) ) ),
file('SET007+10.ax',fc11_relat_1) ).
fof(fc12_relat_1,axiom,
( v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('SET007+10.ax',fc12_relat_1) ).
fof(rc3_relat_1,axiom,
? [A] :
( v3_relat_1(A)
& v1_relat_1(A) ),
file('SET007+10.ax',rc3_relat_1) ).
fof(fc13_relat_1,axiom,
! [A,B] :
( ( v3_relat_1(A)
& v1_relat_1(A) )
=> ( v3_relat_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) ) ),
file('SET007+10.ax',fc13_relat_1) ).
fof(d1_relat_1,axiom,
! [A] :
( v1_relat_1(A)
<=> ! [B] :
~ ( ! [C,D] : B != k4_tarski(C,D)
& r2_hidden(B,A) ) ),
file('SET007+10.ax',d1_relat_1) ).
fof(t1_relat_1,axiom,
$true,
file('SET007+10.ax',t1_relat_1) ).
fof(t2_relat_1,axiom,
$true,
file('SET007+10.ax',t2_relat_1) ).
fof(t3_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
=> v1_relat_1(A) ) ),
file('SET007+10.ax',t3_relat_1) ).
fof(t4_relat_1,axiom,
! [A,B] : v1_relat_1(k1_tarski(k4_tarski(A,B))),
file('SET007+10.ax',t4_relat_1) ).
fof(t5_relat_1,axiom,
! [A,B,C,D] : v1_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))),
file('SET007+10.ax',t5_relat_1) ).
fof(t6_relat_1,axiom,
! [A,B] : v1_relat_1(k2_zfmisc_1(A,B)),
file('SET007+10.ax',t6_relat_1) ).
fof(d2_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( A = B
<=> ! [C,D] :
( r2_hidden(k4_tarski(C,D),A)
<=> r2_hidden(k4_tarski(C,D),B) ) ) ) ),
file('SET007+10.ax',d2_relat_1) ).
fof(d3_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
<=> ! [C,D] :
( r2_hidden(k4_tarski(C,D),A)
=> r2_hidden(k4_tarski(C,D),B) ) ) ) ),
file('SET007+10.ax',d3_relat_1) ).
fof(t7_relat_1,axiom,
$true,
file('SET007+10.ax',t7_relat_1) ).
fof(t8_relat_1,axiom,
$true,
file('SET007+10.ax',t8_relat_1) ).
fof(t9_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> v1_relat_1(k3_xboole_0(A,B)) ),
file('SET007+10.ax',t9_relat_1) ).
fof(t10_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> v1_relat_1(k4_xboole_0(B,A)) ),
file('SET007+10.ax',t10_relat_1) ).
fof(d4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( B = k1_relat_1(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ? [D] : r2_hidden(k4_tarski(C,D),A) ) ) ),
file('SET007+10.ax',d4_relat_1) ).
fof(t11_relat_1,axiom,
$true,
file('SET007+10.ax',t11_relat_1) ).
fof(t12_relat_1,axiom,
$true,
file('SET007+10.ax',t12_relat_1) ).
fof(t13_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k1_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) ) ),
file('SET007+10.ax',t13_relat_1) ).
fof(t14_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k1_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) ) ),
file('SET007+10.ax',t14_relat_1) ).
fof(t15_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k4_xboole_0(k1_relat_1(A),k1_relat_1(B)),k1_relat_1(k4_xboole_0(A,B))) ) ),
file('SET007+10.ax',t15_relat_1) ).
fof(d5_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( B = k2_relat_1(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ? [D] : r2_hidden(k4_tarski(D,C),A) ) ) ),
file('SET007+10.ax',d5_relat_1) ).
fof(t16_relat_1,axiom,
$true,
file('SET007+10.ax',t16_relat_1) ).
fof(t17_relat_1,axiom,
$true,
file('SET007+10.ax',t17_relat_1) ).
fof(t18_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ~ ( ! [C] : ~ r2_hidden(C,k2_relat_1(B))
& r2_hidden(A,k1_relat_1(B)) ) ),
file('SET007+10.ax',t18_relat_1) ).
fof(t19_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ~ ( ! [C] : ~ r2_hidden(C,k1_relat_1(B))
& r2_hidden(A,k2_relat_1(B)) ) ),
file('SET007+10.ax',t19_relat_1) ).
fof(t20_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r2_hidden(k4_tarski(A,B),C)
=> ( r2_hidden(B,k2_relat_1(C))
& r2_hidden(A,k1_relat_1(C)) ) ) ),
file('SET007+10.ax',t20_relat_1) ).
fof(t21_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> r1_tarski(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))) ),
file('SET007+10.ax',t21_relat_1) ).
fof(t22_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k3_xboole_0(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))) = A ),
file('SET007+10.ax',t22_relat_1) ).
fof(t23_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( C = k1_tarski(k4_tarski(A,B))
=> ( k2_relat_1(C) = k1_tarski(B)
& k1_relat_1(C) = k1_tarski(A) ) ) ),
file('SET007+10.ax',t23_relat_1) ).
fof(t24_relat_1,axiom,
! [A,B,C,D,E] :
( v1_relat_1(E)
=> ( E = k2_tarski(k4_tarski(A,B),k4_tarski(C,D))
=> ( k2_relat_1(E) = k2_tarski(B,D)
& k1_relat_1(E) = k2_tarski(A,C) ) ) ),
file('SET007+10.ax',t24_relat_1) ).
fof(t25_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
=> ( r1_tarski(k2_relat_1(A),k2_relat_1(B))
& r1_tarski(k1_relat_1(A),k1_relat_1(B)) ) ) ) ),
file('SET007+10.ax',t25_relat_1) ).
fof(t26_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k2_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)) ) ),
file('SET007+10.ax',t26_relat_1) ).
fof(t27_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k2_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k2_relat_1(A),k2_relat_1(B))) ) ),
file('SET007+10.ax',t27_relat_1) ).
fof(t28_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k4_xboole_0(k2_relat_1(A),k2_relat_1(B)),k2_relat_1(k4_xboole_0(A,B))) ) ),
file('SET007+10.ax',t28_relat_1) ).
fof(d6_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k3_relat_1(A) = k2_xboole_0(k1_relat_1(A),k2_relat_1(A)) ),
file('SET007+10.ax',d6_relat_1) ).
fof(t29_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( r1_tarski(k2_relat_1(A),k3_relat_1(A))
& r1_tarski(k1_relat_1(A),k3_relat_1(A)) ) ),
file('SET007+10.ax',t29_relat_1) ).
fof(t30_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r2_hidden(k4_tarski(A,B),C)
=> ( r2_hidden(B,k3_relat_1(C))
& r2_hidden(A,k3_relat_1(C)) ) ) ),
file('SET007+10.ax',t30_relat_1) ).
fof(t31_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
=> r1_tarski(k3_relat_1(A),k3_relat_1(B)) ) ) ),
file('SET007+10.ax',t31_relat_1) ).
fof(t32_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( C = k1_tarski(k4_tarski(A,B))
=> k3_relat_1(C) = k2_tarski(A,B) ) ),
file('SET007+10.ax',t32_relat_1) ).
fof(t33_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k3_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k3_relat_1(A),k3_relat_1(B)) ) ),
file('SET007+10.ax',t33_relat_1) ).
fof(t34_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k3_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k3_relat_1(A),k3_relat_1(B))) ) ),
file('SET007+10.ax',t34_relat_1) ).
fof(d7_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( B = k4_relat_1(A)
<=> ! [C,D] :
( r2_hidden(k4_tarski(C,D),B)
<=> r2_hidden(k4_tarski(D,C),A) ) ) ) ),
file('SET007+10.ax',d7_relat_1) ).
fof(t35_relat_1,axiom,
$true,
file('SET007+10.ax',t35_relat_1) ).
fof(t36_relat_1,axiom,
$true,
file('SET007+10.ax',t36_relat_1) ).
fof(t37_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( k1_relat_1(A) = k2_relat_1(k4_relat_1(A))
& k2_relat_1(A) = k1_relat_1(k4_relat_1(A)) ) ),
file('SET007+10.ax',t37_relat_1) ).
fof(t38_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k3_relat_1(A) = k3_relat_1(k4_relat_1(A)) ),
file('SET007+10.ax',t38_relat_1) ).
fof(t39_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k4_relat_1(k3_xboole_0(A,B)) = k3_xboole_0(k4_relat_1(A),k4_relat_1(B)) ) ),
file('SET007+10.ax',t39_relat_1) ).
fof(t40_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k4_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k4_relat_1(A),k4_relat_1(B)) ) ),
file('SET007+10.ax',t40_relat_1) ).
fof(t41_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k4_relat_1(k4_xboole_0(A,B)) = k4_xboole_0(k4_relat_1(A),k4_relat_1(B)) ) ),
file('SET007+10.ax',t41_relat_1) ).
fof(d8_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( C = k5_relat_1(A,B)
<=> ! [D,E] :
( r2_hidden(k4_tarski(D,E),C)
<=> ? [F] :
( r2_hidden(k4_tarski(F,E),B)
& r2_hidden(k4_tarski(D,F),A) ) ) ) ) ) ),
file('SET007+10.ax',d8_relat_1) ).
fof(t42_relat_1,axiom,
$true,
file('SET007+10.ax',t42_relat_1) ).
fof(t43_relat_1,axiom,
$true,
file('SET007+10.ax',t43_relat_1) ).
fof(t44_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k1_relat_1(k5_relat_1(A,B)),k1_relat_1(A)) ) ),
file('SET007+10.ax',t44_relat_1) ).
fof(t45_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> r1_tarski(k2_relat_1(k5_relat_1(A,B)),k2_relat_1(B)) ) ),
file('SET007+10.ax',t45_relat_1) ).
fof(t46_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( r1_tarski(k2_relat_1(A),k1_relat_1(B))
=> k1_relat_1(k5_relat_1(A,B)) = k1_relat_1(A) ) ) ),
file('SET007+10.ax',t46_relat_1) ).
fof(t47_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( r1_tarski(k1_relat_1(A),k2_relat_1(B))
=> k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A) ) ) ),
file('SET007+10.ax',t47_relat_1) ).
fof(t48_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k5_relat_1(C,A),k5_relat_1(C,B)) ) ) ) ),
file('SET007+10.ax',t48_relat_1) ).
fof(t49_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C)) ) ) ) ),
file('SET007+10.ax',t49_relat_1) ).
fof(t50_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ! [D] :
( v1_relat_1(D)
=> ( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,D)) ) ) ) ) ),
file('SET007+10.ax',t50_relat_1) ).
fof(t51_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> k5_relat_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)) ) ) ),
file('SET007+10.ax',t51_relat_1) ).
fof(t52_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(A,k3_xboole_0(B,C)),k3_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C))) ) ) ),
file('SET007+10.ax',t52_relat_1) ).
fof(t53_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k4_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)),k5_relat_1(A,k4_xboole_0(B,C))) ) ) ),
file('SET007+10.ax',t53_relat_1) ).
fof(t54_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k4_relat_1(k5_relat_1(A,B)) = k5_relat_1(k4_relat_1(B),k4_relat_1(A)) ) ),
file('SET007+10.ax',t54_relat_1) ).
fof(t55_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> k5_relat_1(k5_relat_1(A,B),C) = k5_relat_1(A,k5_relat_1(B,C)) ) ) ),
file('SET007+10.ax',t55_relat_1) ).
fof(t56_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( ! [B,C] : ~ r2_hidden(k4_tarski(B,C),A)
=> A = k1_xboole_0 ) ),
file('SET007+10.ax',t56_relat_1) ).
fof(t57_relat_1,axiom,
$true,
file('SET007+10.ax',t57_relat_1) ).
fof(t58_relat_1,axiom,
$true,
file('SET007+10.ax',t58_relat_1) ).
fof(t59_relat_1,axiom,
$true,
file('SET007+10.ax',t59_relat_1) ).
fof(t60_relat_1,axiom,
( k2_relat_1(k1_xboole_0) = k1_xboole_0
& k1_relat_1(k1_xboole_0) = k1_xboole_0 ),
file('SET007+10.ax',t60_relat_1) ).
fof(t61_relat_1,axiom,
$true,
file('SET007+10.ax',t61_relat_1) ).
fof(t62_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( k5_relat_1(A,k1_xboole_0) = k1_xboole_0
& k5_relat_1(k1_xboole_0,A) = k1_xboole_0 ) ),
file('SET007+10.ax',t62_relat_1) ).
fof(t63_relat_1,axiom,
$true,
file('SET007+10.ax',t63_relat_1) ).
fof(t64_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( ( k2_relat_1(A) = k1_xboole_0
| k1_relat_1(A) = k1_xboole_0 )
=> A = k1_xboole_0 ) ),
file('SET007+10.ax',t64_relat_1) ).
fof(t65_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( k1_relat_1(A) = k1_xboole_0
<=> k2_relat_1(A) = k1_xboole_0 ) ),
file('SET007+10.ax',t65_relat_1) ).
fof(t66_relat_1,axiom,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
file('SET007+10.ax',t66_relat_1) ).
fof(t67_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( r1_xboole_0(k2_relat_1(A),k1_relat_1(B))
=> k5_relat_1(A,B) = k1_xboole_0 ) ) ),
file('SET007+10.ax',t67_relat_1) ).
fof(d9_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( v2_relat_1(A)
<=> ~ r2_hidden(k1_xboole_0,k2_relat_1(A)) ) ),
file('SET007+10.ax',d9_relat_1) ).
fof(d10_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( B = k6_relat_1(A)
<=> ! [C,D] :
( r2_hidden(k4_tarski(C,D),B)
<=> ( C = D
& r2_hidden(C,A) ) ) ) ),
file('SET007+10.ax',d10_relat_1) ).
fof(t68_relat_1,axiom,
$true,
file('SET007+10.ax',t68_relat_1) ).
fof(t69_relat_1,axiom,
$true,
file('SET007+10.ax',t69_relat_1) ).
fof(t70_relat_1,axiom,
$true,
file('SET007+10.ax',t70_relat_1) ).
fof(t71_relat_1,axiom,
! [A] :
( k2_relat_1(k6_relat_1(A)) = A
& k1_relat_1(k6_relat_1(A)) = A ),
file('SET007+10.ax',t71_relat_1) ).
fof(t72_relat_1,axiom,
! [A] : k4_relat_1(k6_relat_1(A)) = k6_relat_1(A),
file('SET007+10.ax',t72_relat_1) ).
fof(t73_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( ! [C] :
( r2_hidden(C,A)
=> r2_hidden(k4_tarski(C,C),B) )
=> r1_tarski(k6_relat_1(A),B) ) ),
file('SET007+10.ax',t73_relat_1) ).
fof(t74_relat_1,axiom,
! [A,B,C,D] :
( v1_relat_1(D)
=> ( r2_hidden(k4_tarski(A,B),k5_relat_1(k6_relat_1(C),D))
<=> ( r2_hidden(k4_tarski(A,B),D)
& r2_hidden(A,C) ) ) ),
file('SET007+10.ax',t74_relat_1) ).
fof(t75_relat_1,axiom,
! [A,B,C,D] :
( v1_relat_1(D)
=> ( r2_hidden(k4_tarski(A,B),k5_relat_1(D,k6_relat_1(C)))
<=> ( r2_hidden(k4_tarski(A,B),D)
& r2_hidden(B,C) ) ) ),
file('SET007+10.ax',t75_relat_1) ).
fof(t76_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k5_relat_1(k6_relat_1(A),B),B)
& r1_tarski(k5_relat_1(B,k6_relat_1(A)),B) ) ),
file('SET007+10.ax',t76_relat_1) ).
fof(t77_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k1_relat_1(B),A)
=> k5_relat_1(k6_relat_1(A),B) = B ) ),
file('SET007+10.ax',t77_relat_1) ).
fof(t78_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A ),
file('SET007+10.ax',t78_relat_1) ).
fof(t79_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k2_relat_1(B),A)
=> k5_relat_1(B,k6_relat_1(A)) = B ) ),
file('SET007+10.ax',t79_relat_1) ).
fof(t80_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A ),
file('SET007+10.ax',t80_relat_1) ).
fof(t81_relat_1,axiom,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
file('SET007+10.ax',t81_relat_1) ).
fof(t82_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ! [D] :
( v1_relat_1(D)
=> ( ( k5_relat_1(B,D) = k6_relat_1(A)
& k5_relat_1(C,B) = k6_relat_1(k1_relat_1(D))
& r1_tarski(k2_relat_1(C),A)
& k1_relat_1(B) = A )
=> D = C ) ) ) ),
file('SET007+10.ax',t82_relat_1) ).
fof(d11_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B,C] :
( v1_relat_1(C)
=> ( C = k7_relat_1(A,B)
<=> ! [D,E] :
( r2_hidden(k4_tarski(D,E),C)
<=> ( r2_hidden(k4_tarski(D,E),A)
& r2_hidden(D,B) ) ) ) ) ),
file('SET007+10.ax',d11_relat_1) ).
fof(t83_relat_1,axiom,
$true,
file('SET007+10.ax',t83_relat_1) ).
fof(t84_relat_1,axiom,
$true,
file('SET007+10.ax',t84_relat_1) ).
fof(t85_relat_1,axiom,
$true,
file('SET007+10.ax',t85_relat_1) ).
fof(t86_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r2_hidden(A,k1_relat_1(k7_relat_1(C,B)))
<=> ( r2_hidden(A,k1_relat_1(C))
& r2_hidden(A,B) ) ) ),
file('SET007+10.ax',t86_relat_1) ).
fof(t87_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k1_relat_1(k7_relat_1(B,A)),A) ),
file('SET007+10.ax',t87_relat_1) ).
fof(t88_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k7_relat_1(B,A),B) ),
file('SET007+10.ax',t88_relat_1) ).
fof(t89_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B)) ),
file('SET007+10.ax',t89_relat_1) ).
fof(t90_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k1_relat_1(k7_relat_1(B,A)) = k3_xboole_0(k1_relat_1(B),A) ),
file('SET007+10.ax',t90_relat_1) ).
fof(t91_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,k1_relat_1(B))
=> k1_relat_1(k7_relat_1(B,A)) = A ) ),
file('SET007+10.ax',t91_relat_1) ).
fof(t92_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(k7_relat_1(B,A),C),k5_relat_1(B,C)) ) ),
file('SET007+10.ax',t92_relat_1) ).
fof(t93_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(B,k7_relat_1(C,A)),k5_relat_1(B,C)) ) ),
file('SET007+10.ax',t93_relat_1) ).
fof(t94_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k7_relat_1(B,A) = k5_relat_1(k6_relat_1(A),B) ),
file('SET007+10.ax',t94_relat_1) ).
fof(t95_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( k7_relat_1(B,A) = k1_xboole_0
<=> r1_xboole_0(k1_relat_1(B),A) ) ),
file('SET007+10.ax',t95_relat_1) ).
fof(t96_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k7_relat_1(B,A) = k3_xboole_0(B,k2_zfmisc_1(A,k2_relat_1(B))) ),
file('SET007+10.ax',t96_relat_1) ).
fof(t97_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k1_relat_1(B),A)
=> k7_relat_1(B,A) = B ) ),
file('SET007+10.ax',t97_relat_1) ).
fof(t98_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k7_relat_1(A,k1_relat_1(A)) = A ),
file('SET007+10.ax',t98_relat_1) ).
fof(t99_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B)) ),
file('SET007+10.ax',t99_relat_1) ).
fof(t100_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,k3_xboole_0(A,B)) ),
file('SET007+10.ax',t100_relat_1) ).
fof(t101_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k7_relat_1(k7_relat_1(B,A),A) = k7_relat_1(B,A) ),
file('SET007+10.ax',t101_relat_1) ).
fof(t102_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A) ) ),
file('SET007+10.ax',t102_relat_1) ).
fof(t103_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> k7_relat_1(k7_relat_1(C,B),A) = k7_relat_1(C,A) ) ),
file('SET007+10.ax',t103_relat_1) ).
fof(t104_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k7_relat_1(C,A),k7_relat_1(C,B)) ) ),
file('SET007+10.ax',t104_relat_1) ).
fof(t105_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(B,C)
=> r1_tarski(k7_relat_1(B,A),k7_relat_1(C,A)) ) ) ),
file('SET007+10.ax',t105_relat_1) ).
fof(t106_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ! [D] :
( v1_relat_1(D)
=> ( ( r1_tarski(A,B)
& r1_tarski(C,D) )
=> r1_tarski(k7_relat_1(C,A),k7_relat_1(D,B)) ) ) ),
file('SET007+10.ax',t106_relat_1) ).
fof(t107_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k7_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) ),
file('SET007+10.ax',t107_relat_1) ).
fof(t108_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k7_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) ),
file('SET007+10.ax',t108_relat_1) ).
fof(t109_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k7_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) ),
file('SET007+10.ax',t109_relat_1) ).
fof(t110_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k7_relat_1(A,k1_xboole_0) = k1_xboole_0 ),
file('SET007+10.ax',t110_relat_1) ).
fof(t111_relat_1,axiom,
! [A] : k7_relat_1(k1_xboole_0,A) = k1_xboole_0,
file('SET007+10.ax',t111_relat_1) ).
fof(t112_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> k7_relat_1(k5_relat_1(B,C),A) = k5_relat_1(k7_relat_1(B,A),C) ) ),
file('SET007+10.ax',t112_relat_1) ).
fof(d12_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( C = k8_relat_1(A,B)
<=> ! [D,E] :
( r2_hidden(k4_tarski(D,E),C)
<=> ( r2_hidden(k4_tarski(D,E),B)
& r2_hidden(E,A) ) ) ) ) ),
file('SET007+10.ax',d12_relat_1) ).
fof(t113_relat_1,axiom,
$true,
file('SET007+10.ax',t113_relat_1) ).
fof(t114_relat_1,axiom,
$true,
file('SET007+10.ax',t114_relat_1) ).
fof(t115_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r2_hidden(A,k2_relat_1(k8_relat_1(B,C)))
<=> ( r2_hidden(A,k2_relat_1(C))
& r2_hidden(A,B) ) ) ),
file('SET007+10.ax',t115_relat_1) ).
fof(t116_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k2_relat_1(k8_relat_1(A,B)),A) ),
file('SET007+10.ax',t116_relat_1) ).
fof(t117_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k8_relat_1(A,B),B) ),
file('SET007+10.ax',t117_relat_1) ).
fof(t118_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B)) ),
file('SET007+10.ax',t118_relat_1) ).
fof(t119_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k2_relat_1(k8_relat_1(A,B)) = k3_xboole_0(k2_relat_1(B),A) ),
file('SET007+10.ax',t119_relat_1) ).
fof(t120_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,k2_relat_1(B))
=> k2_relat_1(k8_relat_1(A,B)) = A ) ),
file('SET007+10.ax',t120_relat_1) ).
fof(t121_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(k8_relat_1(A,B),C),k5_relat_1(B,C)) ) ),
file('SET007+10.ax',t121_relat_1) ).
fof(t122_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(B,k8_relat_1(A,C)),k5_relat_1(B,C)) ) ),
file('SET007+10.ax',t122_relat_1) ).
fof(t123_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k8_relat_1(A,B) = k5_relat_1(B,k6_relat_1(A)) ),
file('SET007+10.ax',t123_relat_1) ).
fof(t124_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k8_relat_1(A,B) = k3_xboole_0(B,k2_zfmisc_1(k1_relat_1(B),A)) ),
file('SET007+10.ax',t124_relat_1) ).
fof(t125_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k2_relat_1(B),A)
=> k8_relat_1(A,B) = B ) ),
file('SET007+10.ax',t125_relat_1) ).
fof(t126_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k8_relat_1(k2_relat_1(A),A) = A ),
file('SET007+10.ax',t126_relat_1) ).
fof(t127_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(k3_xboole_0(A,B),C) ),
file('SET007+10.ax',t127_relat_1) ).
fof(t128_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k8_relat_1(A,k8_relat_1(A,B)) = k8_relat_1(A,B) ),
file('SET007+10.ax',t128_relat_1) ).
fof(t129_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> k8_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,C) ) ),
file('SET007+10.ax',t129_relat_1) ).
fof(t130_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C) ) ),
file('SET007+10.ax',t130_relat_1) ).
fof(t131_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k8_relat_1(A,C),k8_relat_1(B,C)) ) ),
file('SET007+10.ax',t131_relat_1) ).
fof(t132_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(B,C)
=> r1_tarski(k8_relat_1(A,B),k8_relat_1(A,C)) ) ) ),
file('SET007+10.ax',t132_relat_1) ).
fof(t133_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ! [D] :
( v1_relat_1(D)
=> ( ( r1_tarski(A,B)
& r1_tarski(C,D) )
=> r1_tarski(k8_relat_1(A,C),k8_relat_1(B,D)) ) ) ),
file('SET007+10.ax',t133_relat_1) ).
fof(t134_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k8_relat_1(k2_xboole_0(A,B),C) = k2_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) ),
file('SET007+10.ax',t134_relat_1) ).
fof(t135_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k8_relat_1(k3_xboole_0(A,B),C) = k3_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) ),
file('SET007+10.ax',t135_relat_1) ).
fof(t136_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k8_relat_1(k4_xboole_0(A,B),C) = k4_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) ),
file('SET007+10.ax',t136_relat_1) ).
fof(t137_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k8_relat_1(k1_xboole_0,A) = k1_xboole_0 ),
file('SET007+10.ax',t137_relat_1) ).
fof(t138_relat_1,axiom,
! [A] : k8_relat_1(A,k1_xboole_0) = k1_xboole_0,
file('SET007+10.ax',t138_relat_1) ).
fof(t139_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> k8_relat_1(A,k5_relat_1(B,C)) = k5_relat_1(B,k8_relat_1(A,C)) ) ),
file('SET007+10.ax',t139_relat_1) ).
fof(t140_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k7_relat_1(k8_relat_1(A,C),B) = k8_relat_1(A,k7_relat_1(C,B)) ),
file('SET007+10.ax',t140_relat_1) ).
fof(d13_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B,C] :
( C = k9_relat_1(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ? [E] :
( r2_hidden(E,B)
& r2_hidden(k4_tarski(E,D),A) ) ) ) ),
file('SET007+10.ax',d13_relat_1) ).
fof(t141_relat_1,axiom,
$true,
file('SET007+10.ax',t141_relat_1) ).
fof(t142_relat_1,axiom,
$true,
file('SET007+10.ax',t142_relat_1) ).
fof(t143_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r2_hidden(A,k9_relat_1(C,B))
<=> ? [D] :
( r2_hidden(D,B)
& r2_hidden(k4_tarski(D,A),C)
& r2_hidden(D,k1_relat_1(C)) ) ) ),
file('SET007+10.ax',t143_relat_1) ).
fof(t144_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k9_relat_1(B,A),k2_relat_1(B)) ),
file('SET007+10.ax',t144_relat_1) ).
fof(t145_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k9_relat_1(B,A) = k9_relat_1(B,k3_xboole_0(k1_relat_1(B),A)) ),
file('SET007+10.ax',t145_relat_1) ).
fof(t146_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k9_relat_1(A,k1_relat_1(A)) = k2_relat_1(A) ),
file('SET007+10.ax',t146_relat_1) ).
fof(t147_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k9_relat_1(B,A),k9_relat_1(B,k1_relat_1(B))) ),
file('SET007+10.ax',t147_relat_1) ).
fof(t148_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k2_relat_1(k7_relat_1(B,A)) = k9_relat_1(B,A) ),
file('SET007+10.ax',t148_relat_1) ).
fof(t149_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k9_relat_1(A,k1_xboole_0) = k1_xboole_0 ),
file('SET007+10.ax',t149_relat_1) ).
fof(t150_relat_1,axiom,
! [A] : k9_relat_1(k1_xboole_0,A) = k1_xboole_0,
file('SET007+10.ax',t150_relat_1) ).
fof(t151_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( k9_relat_1(B,A) = k1_xboole_0
<=> r1_xboole_0(k1_relat_1(B),A) ) ),
file('SET007+10.ax',t151_relat_1) ).
fof(t152_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ~ ( k9_relat_1(B,A) = k1_xboole_0
& r1_tarski(A,k1_relat_1(B))
& A != k1_xboole_0 ) ),
file('SET007+10.ax',t152_relat_1) ).
fof(t153_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k9_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) ),
file('SET007+10.ax',t153_relat_1) ).
fof(t154_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> r1_tarski(k9_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))) ),
file('SET007+10.ax',t154_relat_1) ).
fof(t155_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> r1_tarski(k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)),k9_relat_1(C,k4_xboole_0(A,B))) ),
file('SET007+10.ax',t155_relat_1) ).
fof(t156_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) ) ),
file('SET007+10.ax',t156_relat_1) ).
fof(t157_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(B,C)
=> r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A)) ) ) ),
file('SET007+10.ax',t157_relat_1) ).
fof(t158_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ! [D] :
( v1_relat_1(D)
=> ( ( r1_tarski(A,B)
& r1_tarski(C,D) )
=> r1_tarski(k9_relat_1(C,A),k9_relat_1(D,B)) ) ) ),
file('SET007+10.ax',t158_relat_1) ).
fof(t159_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> k9_relat_1(k5_relat_1(B,C),A) = k9_relat_1(C,k9_relat_1(B,A)) ) ),
file('SET007+10.ax',t159_relat_1) ).
fof(t160_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k2_relat_1(k5_relat_1(A,B)) = k9_relat_1(B,k2_relat_1(A)) ) ),
file('SET007+10.ax',t160_relat_1) ).
fof(t161_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> r1_tarski(k9_relat_1(k7_relat_1(C,A),B),k9_relat_1(C,B)) ),
file('SET007+10.ax',t161_relat_1) ).
fof(t162_relat_1,axiom,
$true,
file('SET007+10.ax',t162_relat_1) ).
fof(t163_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k3_xboole_0(k1_relat_1(B),A),k9_relat_1(k4_relat_1(B),k9_relat_1(B,A))) ),
file('SET007+10.ax',t163_relat_1) ).
fof(d14_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B,C] :
( C = k10_relat_1(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ? [E] :
( r2_hidden(E,B)
& r2_hidden(k4_tarski(D,E),A) ) ) ) ),
file('SET007+10.ax',d14_relat_1) ).
fof(t164_relat_1,axiom,
$true,
file('SET007+10.ax',t164_relat_1) ).
fof(t165_relat_1,axiom,
$true,
file('SET007+10.ax',t165_relat_1) ).
fof(t166_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r2_hidden(A,k10_relat_1(C,B))
<=> ? [D] :
( r2_hidden(D,B)
& r2_hidden(k4_tarski(A,D),C)
& r2_hidden(D,k2_relat_1(C)) ) ) ),
file('SET007+10.ax',t166_relat_1) ).
fof(t167_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k10_relat_1(B,A),k1_relat_1(B)) ),
file('SET007+10.ax',t167_relat_1) ).
fof(t168_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> k10_relat_1(B,A) = k10_relat_1(B,k3_xboole_0(k2_relat_1(B),A)) ),
file('SET007+10.ax',t168_relat_1) ).
fof(t169_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k10_relat_1(A,k2_relat_1(A)) = k1_relat_1(A) ),
file('SET007+10.ax',t169_relat_1) ).
fof(t170_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k10_relat_1(B,A),k10_relat_1(B,k2_relat_1(B))) ),
file('SET007+10.ax',t170_relat_1) ).
fof(t171_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k10_relat_1(A,k1_xboole_0) = k1_xboole_0 ),
file('SET007+10.ax',t171_relat_1) ).
fof(t172_relat_1,axiom,
! [A] : k10_relat_1(k1_xboole_0,A) = k1_xboole_0,
file('SET007+10.ax',t172_relat_1) ).
fof(t173_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( k10_relat_1(B,A) = k1_xboole_0
<=> r1_xboole_0(k2_relat_1(B),A) ) ),
file('SET007+10.ax',t173_relat_1) ).
fof(t174_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ~ ( k10_relat_1(B,A) = k1_xboole_0
& r1_tarski(A,k2_relat_1(B))
& A != k1_xboole_0 ) ),
file('SET007+10.ax',t174_relat_1) ).
fof(t175_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k10_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)) ),
file('SET007+10.ax',t175_relat_1) ).
fof(t176_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> r1_tarski(k10_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B))) ),
file('SET007+10.ax',t176_relat_1) ).
fof(t177_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> r1_tarski(k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)),k10_relat_1(C,k4_xboole_0(A,B))) ),
file('SET007+10.ax',t177_relat_1) ).
fof(t178_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) ) ),
file('SET007+10.ax',t178_relat_1) ).
fof(t179_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(B,C)
=> r1_tarski(k10_relat_1(B,A),k10_relat_1(C,A)) ) ) ),
file('SET007+10.ax',t179_relat_1) ).
fof(t180_relat_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ! [D] :
( v1_relat_1(D)
=> ( ( r1_tarski(A,B)
& r1_tarski(C,D) )
=> r1_tarski(k10_relat_1(C,A),k10_relat_1(D,B)) ) ) ),
file('SET007+10.ax',t180_relat_1) ).
fof(t181_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> k10_relat_1(k5_relat_1(B,C),A) = k10_relat_1(B,k10_relat_1(C,A)) ) ),
file('SET007+10.ax',t181_relat_1) ).
fof(t182_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k1_relat_1(k5_relat_1(A,B)) = k10_relat_1(A,k1_relat_1(B)) ) ),
file('SET007+10.ax',t182_relat_1) ).
fof(t183_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> r1_tarski(k3_xboole_0(k2_relat_1(B),A),k10_relat_1(k4_relat_1(B),k10_relat_1(B,A))) ),
file('SET007+10.ax',t183_relat_1) ).
fof(d15_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( v3_relat_1(A)
<=> r1_tarski(k2_relat_1(A),k1_tarski(k1_xboole_0)) ) ),
file('SET007+10.ax',d15_relat_1) ).
fof(t184_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( v3_relat_1(A)
<=> ! [B] :
( r2_hidden(B,k2_relat_1(A))
=> B = k1_xboole_0 ) ) ),
file('SET007+10.ax',t184_relat_1) ).
fof(t185_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C,D] :
( ( k7_relat_1(A,D) = k7_relat_1(B,D)
& k7_relat_1(A,C) = k7_relat_1(B,C) )
=> k7_relat_1(A,k2_xboole_0(C,D)) = k7_relat_1(B,k2_xboole_0(C,D)) ) ) ),
file('SET007+10.ax',t185_relat_1) ).
fof(t186_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( ( r1_tarski(C,B)
& r1_tarski(k1_relat_1(C),A) )
=> r1_tarski(C,k7_relat_1(B,A)) ) ) ),
file('SET007+10.ax',t186_relat_1) ).
fof(t187_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( r1_xboole_0(B,k1_relat_1(A))
=> k7_relat_1(A,B) = k1_xboole_0 ) ),
file('SET007+10.ax',t187_relat_1) ).
fof(t188_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C,D] :
( ( k7_relat_1(A,D) = k7_relat_1(B,D)
& r1_tarski(C,D) )
=> k7_relat_1(A,C) = k7_relat_1(B,C) ) ) ),
file('SET007+10.ax',t188_relat_1) ).
fof(t189_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> k7_relat_1(A,k1_relat_1(B)) = k7_relat_1(A,k1_relat_1(k7_relat_1(B,k1_relat_1(A)))) ) ),
file('SET007+10.ax',t189_relat_1) ).
fof(t190_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ~ ( v3_relat_1(B)
& ~ v3_relat_1(k7_relat_1(B,A)) ) ),
file('SET007+10.ax',t190_relat_1) ).
fof(s1_relat_1,axiom,
? [A] :
( ! [B,C] :
( r2_hidden(k4_tarski(B,C),A)
<=> ( p1_s1_relat_1(B,C)
& r2_hidden(C,f2_s1_relat_1)
& r2_hidden(B,f1_s1_relat_1) ) )
& v1_relat_1(A) ),
file('SET007+10.ax',s1_relat_1) ).
fof(dt_k1_relat_1,axiom,
$true,
file('SET007+10.ax',dt_k1_relat_1) ).
fof(dt_k2_relat_1,axiom,
$true,
file('SET007+10.ax',dt_k2_relat_1) ).
fof(dt_k3_relat_1,axiom,
$true,
file('SET007+10.ax',dt_k3_relat_1) ).
fof(dt_k4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> v1_relat_1(k4_relat_1(A)) ),
file('SET007+10.ax',dt_k4_relat_1) ).
fof(involutiveness_k4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k4_relat_1(k4_relat_1(A)) = A ),
file('SET007+10.ax',involutiveness_k4_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [A,B] :
( ( v1_relat_1(B)
& v1_relat_1(A) )
=> v1_relat_1(k5_relat_1(A,B)) ),
file('SET007+10.ax',dt_k5_relat_1) ).
fof(dt_k6_relat_1,axiom,
! [A] : v1_relat_1(k6_relat_1(A)),
file('SET007+10.ax',dt_k6_relat_1) ).
fof(dt_k7_relat_1,axiom,
! [A,B] :
( v1_relat_1(A)
=> v1_relat_1(k7_relat_1(A,B)) ),
file('SET007+10.ax',dt_k7_relat_1) ).
fof(dt_k8_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> v1_relat_1(k8_relat_1(A,B)) ),
file('SET007+10.ax',dt_k8_relat_1) ).
fof(dt_k9_relat_1,axiom,
$true,
file('SET007+10.ax',dt_k9_relat_1) ).
fof(dt_k10_relat_1,axiom,
$true,
file('SET007+10.ax',dt_k10_relat_1) ).
fof(rc1_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+11.ax',rc1_funct_1) ).
fof(cc1_funct_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
file('SET007+11.ax',cc1_funct_1) ).
fof(fc1_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_funct_1(k5_relat_1(A,B))
& v1_relat_1(k5_relat_1(A,B)) ) ),
file('SET007+11.ax',fc1_funct_1) ).
fof(fc2_funct_1,axiom,
! [A] :
( v1_funct_1(k6_relat_1(A))
& v1_relat_1(k6_relat_1(A)) ),
file('SET007+11.ax',fc2_funct_1) ).
fof(rc2_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
file('SET007+11.ax',rc2_funct_1) ).
fof(cc2_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+11.ax',cc2_funct_1) ).
fof(rc3_funct_1,axiom,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+11.ax',rc3_funct_1) ).
fof(fc3_funct_1,axiom,
! [A] :
( ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_funct_1(k4_relat_1(A))
& v1_relat_1(k4_relat_1(A)) ) ),
file('SET007+11.ax',fc3_funct_1) ).
fof(fc4_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_funct_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) ) ),
file('SET007+11.ax',fc4_funct_1) ).
fof(fc5_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v1_funct_1(k8_relat_1(A,B))
& v1_relat_1(k8_relat_1(A,B)) ) ),
file('SET007+11.ax',fc5_funct_1) ).
fof(rc4_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v3_relat_1(A)
& v1_relat_1(A) ),
file('SET007+11.ax',rc4_funct_1) ).
fof(rc5_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v2_relat_1(A)
& v1_relat_1(A) ),
file('SET007+11.ax',rc5_funct_1) ).
fof(fc6_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v2_relat_1(A)
& v1_relat_1(A) )
=> v1_setfam_1(k2_relat_1(A)) ),
file('SET007+11.ax',fc6_funct_1) ).
fof(d1_funct_1,axiom,
! [A] :
( v1_funct_1(A)
<=> ! [B,C,D] :
( ( r2_hidden(k4_tarski(B,D),A)
& r2_hidden(k4_tarski(B,C),A) )
=> C = D ) ),
file('SET007+11.ax',d1_funct_1) ).
fof(t1_funct_1,axiom,
$true,
file('SET007+11.ax',t1_funct_1) ).
fof(t2_funct_1,axiom,
! [A] :
( ( ! [B,C,D] :
( ( r2_hidden(k4_tarski(B,D),A)
& r2_hidden(k4_tarski(B,C),A) )
=> C = D )
& ! [B] :
~ ( ! [C,D] : k4_tarski(C,D) != B
& r2_hidden(B,A) ) )
=> ( v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+11.ax',t2_funct_1) ).
fof(d2_funct_1,axiom,
$true,
file('SET007+11.ax',d2_funct_1) ).
fof(d3_funct_1,axiom,
$true,
file('SET007+11.ax',d3_funct_1) ).
fof(d4_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B,C] :
( ( ~ r2_hidden(B,k1_relat_1(A))
=> ( C = k1_funct_1(A,B)
<=> C = k1_xboole_0 ) )
& ( r2_hidden(B,k1_relat_1(A))
=> ( C = k1_funct_1(A,B)
<=> r2_hidden(k4_tarski(B,C),A) ) ) ) ),
file('SET007+11.ax',d4_funct_1) ).
fof(t3_funct_1,axiom,
$true,
file('SET007+11.ax',t3_funct_1) ).
fof(t4_funct_1,axiom,
$true,
file('SET007+11.ax',t4_funct_1) ).
fof(t5_funct_1,axiom,
$true,
file('SET007+11.ax',t5_funct_1) ).
fof(t6_funct_1,axiom,
$true,
file('SET007+11.ax',t6_funct_1) ).
fof(t7_funct_1,axiom,
$true,
file('SET007+11.ax',t7_funct_1) ).
fof(t8_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(k4_tarski(A,B),C)
<=> ( B = k1_funct_1(C,A)
& r2_hidden(A,k1_relat_1(C)) ) ) ),
file('SET007+11.ax',t8_funct_1) ).
fof(t9_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( ! [C] :
( r2_hidden(C,k1_relat_1(A))
=> k1_funct_1(A,C) = k1_funct_1(B,C) )
& k1_relat_1(A) = k1_relat_1(B) )
=> A = B ) ) ),
file('SET007+11.ax',t9_funct_1) ).
fof(d5_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( B = k2_relat_1(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) ) ) ) ),
file('SET007+11.ax',d5_funct_1) ).
fof(t10_funct_1,axiom,
$true,
file('SET007+11.ax',t10_funct_1) ).
fof(t11_funct_1,axiom,
$true,
file('SET007+11.ax',t11_funct_1) ).
fof(t12_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( r2_hidden(A,k1_relat_1(B))
=> r2_hidden(k1_funct_1(B,A),k2_relat_1(B)) ) ),
file('SET007+11.ax',t12_funct_1) ).
fof(t13_funct_1,axiom,
$true,
file('SET007+11.ax',t13_funct_1) ).
fof(t14_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( k1_relat_1(B) = k1_tarski(A)
=> k2_relat_1(B) = k1_tarski(k1_funct_1(B,A)) ) ),
file('SET007+11.ax',t14_funct_1) ).
fof(t15_funct_1,axiom,
! [A] :
( A != k1_xboole_0
=> ! [B] :
? [C] :
( k2_relat_1(C) = k1_tarski(B)
& k1_relat_1(C) = A
& v1_funct_1(C)
& v1_relat_1(C) ) ),
file('SET007+11.ax',t15_funct_1) ).
fof(t16_funct_1,axiom,
! [A] :
( ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( k1_relat_1(C) = A
& k1_relat_1(B) = A )
=> B = C ) ) )
=> A = k1_xboole_0 ),
file('SET007+11.ax',t16_funct_1) ).
fof(t17_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( k2_relat_1(C) = k1_tarski(A)
& k2_relat_1(B) = k1_tarski(A)
& k1_relat_1(B) = k1_relat_1(C) )
=> B = C ) ) ),
file('SET007+11.ax',t17_funct_1) ).
fof(t18_funct_1,axiom,
! [A,B] :
~ ( ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ~ ( r1_tarski(k2_relat_1(C),A)
& B = k1_relat_1(C) ) )
& ~ ( B != k1_xboole_0
& A = k1_xboole_0 ) ),
file('SET007+11.ax',t18_funct_1) ).
fof(t19_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ! [C] :
~ ( ! [D] :
~ ( C = k1_funct_1(B,D)
& r2_hidden(D,k1_relat_1(B)) )
& r2_hidden(C,A) )
=> r1_tarski(A,k2_relat_1(B)) ) ),
file('SET007+11.ax',t19_funct_1) ).
fof(t20_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( ! [D] :
( r2_hidden(D,k1_relat_1(C))
=> k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D)) )
& ! [D] :
( r2_hidden(D,k1_relat_1(C))
<=> ( r2_hidden(k1_funct_1(A,D),k1_relat_1(B))
& r2_hidden(D,k1_relat_1(A)) ) ) )
=> C = k5_relat_1(A,B) ) ) ) ),
file('SET007+11.ax',t20_funct_1) ).
fof(t21_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))
<=> ( r2_hidden(k1_funct_1(C,A),k1_relat_1(B))
& r2_hidden(A,k1_relat_1(C)) ) ) ) ),
file('SET007+11.ax',t21_funct_1) ).
fof(t22_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))
=> k1_funct_1(k5_relat_1(C,B),A) = k1_funct_1(B,k1_funct_1(C,A)) ) ) ),
file('SET007+11.ax',t22_funct_1) ).
fof(t23_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(A,k1_relat_1(B))
=> k1_funct_1(k5_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A)) ) ) ),
file('SET007+11.ax',t23_funct_1) ).
fof(t24_funct_1,axiom,
$true,
file('SET007+11.ax',t24_funct_1) ).
fof(t25_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(A,k2_relat_1(k5_relat_1(C,B)))
=> r2_hidden(A,k2_relat_1(B)) ) ) ),
file('SET007+11.ax',t25_funct_1) ).
fof(t26_funct_1,axiom,
$true,
file('SET007+11.ax',t26_funct_1) ).
fof(t27_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( k1_relat_1(k5_relat_1(B,A)) = k1_relat_1(B)
=> r1_tarski(k2_relat_1(B),k1_relat_1(A)) ) ) ),
file('SET007+11.ax',t27_funct_1) ).
fof(t28_funct_1,axiom,
$true,
file('SET007+11.ax',t28_funct_1) ).
fof(t29_funct_1,axiom,
$true,
file('SET007+11.ax',t29_funct_1) ).
fof(t30_funct_1,axiom,
$true,
file('SET007+11.ax',t30_funct_1) ).
fof(t31_funct_1,axiom,
$true,
file('SET007+11.ax',t31_funct_1) ).
fof(t32_funct_1,axiom,
$true,
file('SET007+11.ax',t32_funct_1) ).
fof(t33_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_relat_1(D) )
=> ( ( k5_relat_1(B,C) = k5_relat_1(B,D)
& k1_relat_1(D) = A
& k1_relat_1(C) = A )
=> C = D ) ) )
& r1_tarski(k2_relat_1(B),A) )
=> A = k2_relat_1(B) ) ),
file('SET007+11.ax',t33_funct_1) ).
fof(t34_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( B = k6_relat_1(A)
<=> ( ! [C] :
( r2_hidden(C,A)
=> k1_funct_1(B,C) = C )
& k1_relat_1(B) = A ) ) ),
file('SET007+11.ax',t34_funct_1) ).
fof(t35_funct_1,axiom,
! [A,B] :
( r2_hidden(B,A)
=> k1_funct_1(k6_relat_1(A),B) = B ),
file('SET007+11.ax',t35_funct_1) ).
fof(t36_funct_1,axiom,
$true,
file('SET007+11.ax',t36_funct_1) ).
fof(t37_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> k1_relat_1(k5_relat_1(k6_relat_1(A),B)) = k3_xboole_0(k1_relat_1(B),A) ),
file('SET007+11.ax',t37_funct_1) ).
fof(t38_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,k3_xboole_0(k1_relat_1(C),A))
=> k1_funct_1(C,B) = k1_funct_1(k5_relat_1(k6_relat_1(A),C),B) ) ),
file('SET007+11.ax',t38_funct_1) ).
fof(t39_funct_1,axiom,
$true,
file('SET007+11.ax',t39_funct_1) ).
fof(t40_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,k1_relat_1(k5_relat_1(C,k6_relat_1(A))))
<=> ( r2_hidden(k1_funct_1(C,B),A)
& r2_hidden(B,k1_relat_1(C)) ) ) ),
file('SET007+11.ax',t40_funct_1) ).
fof(t41_funct_1,axiom,
$true,
file('SET007+11.ax',t41_funct_1) ).
fof(t42_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A
& k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A ) ),
file('SET007+11.ax',t42_funct_1) ).
fof(t43_funct_1,axiom,
! [A,B] : k5_relat_1(k6_relat_1(B),k6_relat_1(A)) = k6_relat_1(k3_xboole_0(A,B)),
file('SET007+11.ax',t43_funct_1) ).
fof(t44_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( k5_relat_1(A,B) = A
& k2_relat_1(A) = k1_relat_1(B) )
=> B = k6_relat_1(k1_relat_1(B)) ) ) ),
file('SET007+11.ax',t44_funct_1) ).
fof(d6_funct_1,axiom,
$true,
file('SET007+11.ax',d6_funct_1) ).
fof(d7_funct_1,axiom,
$true,
file('SET007+11.ax',d7_funct_1) ).
fof(d8_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
<=> ! [B,C] :
( ( k1_funct_1(A,B) = k1_funct_1(A,C)
& r2_hidden(C,k1_relat_1(A))
& r2_hidden(B,k1_relat_1(A)) )
=> B = C ) ) ),
file('SET007+11.ax',d8_funct_1) ).
fof(t45_funct_1,axiom,
$true,
file('SET007+11.ax',t45_funct_1) ).
fof(t46_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( v2_funct_1(B)
& v2_funct_1(A) )
=> v2_funct_1(k5_relat_1(A,B)) ) ) ),
file('SET007+11.ax',t46_funct_1) ).
fof(t47_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( r1_tarski(k2_relat_1(B),k1_relat_1(A))
& v2_funct_1(k5_relat_1(B,A)) )
=> v2_funct_1(B) ) ) ),
file('SET007+11.ax',t47_funct_1) ).
fof(t48_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( k2_relat_1(B) = k1_relat_1(A)
& v2_funct_1(k5_relat_1(B,A)) )
=> ( v2_funct_1(A)
& v2_funct_1(B) ) ) ) ),
file('SET007+11.ax',t48_funct_1) ).
fof(t49_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
<=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( k5_relat_1(B,A) = k5_relat_1(C,A)
& k1_relat_1(B) = k1_relat_1(C)
& r1_tarski(k2_relat_1(C),k1_relat_1(A))
& r1_tarski(k2_relat_1(B),k1_relat_1(A)) )
=> B = C ) ) ) ) ),
file('SET007+11.ax',t49_funct_1) ).
fof(t50_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( k5_relat_1(C,B) = B
& v2_funct_1(B)
& r1_tarski(k2_relat_1(C),A)
& k1_relat_1(C) = A
& k1_relat_1(B) = A )
=> C = k6_relat_1(A) ) ) ),
file('SET007+11.ax',t50_funct_1) ).
fof(t51_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( v2_funct_1(A)
& k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A) )
=> r1_tarski(k1_relat_1(A),k2_relat_1(B)) ) ) ),
file('SET007+11.ax',t51_funct_1) ).
fof(t52_funct_1,axiom,
! [A] : v2_funct_1(k6_relat_1(A)),
file('SET007+11.ax',t52_funct_1) ).
fof(t53_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( ? [B] :
( k5_relat_1(A,B) = k6_relat_1(k1_relat_1(A))
& v1_funct_1(B)
& v1_relat_1(B) )
=> v2_funct_1(A) ) ),
file('SET007+11.ax',t53_funct_1) ).
fof(d9_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> k2_funct_1(A) = k4_relat_1(A) ) ),
file('SET007+11.ax',d9_funct_1) ).
fof(t54_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( B = k2_funct_1(A)
<=> ( ! [C,D] :
( ( ( C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) )
=> ( D = k1_funct_1(B,C)
& r2_hidden(C,k2_relat_1(A)) ) )
& ( ( D = k1_funct_1(B,C)
& r2_hidden(C,k2_relat_1(A)) )
=> ( C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) ) ) )
& k1_relat_1(B) = k2_relat_1(A) ) ) ) ) ),
file('SET007+11.ax',t54_funct_1) ).
fof(t55_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> ( k1_relat_1(A) = k2_relat_1(k2_funct_1(A))
& k2_relat_1(A) = k1_relat_1(k2_funct_1(A)) ) ) ),
file('SET007+11.ax',t55_funct_1) ).
fof(t56_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( r2_hidden(A,k1_relat_1(B))
& v2_funct_1(B) )
=> ( A = k1_funct_1(k5_relat_1(B,k2_funct_1(B)),A)
& A = k1_funct_1(k2_funct_1(B),k1_funct_1(B,A)) ) ) ),
file('SET007+11.ax',t56_funct_1) ).
fof(t57_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( r2_hidden(A,k2_relat_1(B))
& v2_funct_1(B) )
=> ( A = k1_funct_1(k5_relat_1(k2_funct_1(B),B),A)
& A = k1_funct_1(B,k1_funct_1(k2_funct_1(B),A)) ) ) ),
file('SET007+11.ax',t57_funct_1) ).
fof(t58_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> ( k2_relat_1(k5_relat_1(A,k2_funct_1(A))) = k1_relat_1(A)
& k1_relat_1(k5_relat_1(A,k2_funct_1(A))) = k1_relat_1(A) ) ) ),
file('SET007+11.ax',t58_funct_1) ).
fof(t59_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> ( k2_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A)
& k1_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A) ) ) ),
file('SET007+11.ax',t59_funct_1) ).
fof(t60_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( ! [C,D] :
( ( r2_hidden(D,k1_relat_1(B))
& r2_hidden(C,k1_relat_1(A)) )
=> ( k1_funct_1(A,C) = D
<=> k1_funct_1(B,D) = C ) )
& k2_relat_1(A) = k1_relat_1(B)
& k1_relat_1(A) = k2_relat_1(B)
& v2_funct_1(A) )
=> B = k2_funct_1(A) ) ) ),
file('SET007+11.ax',t60_funct_1) ).
fof(t61_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> ( k5_relat_1(k2_funct_1(A),A) = k6_relat_1(k2_relat_1(A))
& k5_relat_1(A,k2_funct_1(A)) = k6_relat_1(k1_relat_1(A)) ) ) ),
file('SET007+11.ax',t61_funct_1) ).
fof(t62_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> v2_funct_1(k2_funct_1(A)) ) ),
file('SET007+11.ax',t62_funct_1) ).
fof(t63_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( k5_relat_1(A,B) = k6_relat_1(k1_relat_1(A))
& k2_relat_1(A) = k1_relat_1(B)
& v2_funct_1(A) )
=> B = k2_funct_1(A) ) ) ),
file('SET007+11.ax',t63_funct_1) ).
fof(t64_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( k5_relat_1(B,A) = k6_relat_1(k2_relat_1(A))
& k2_relat_1(B) = k1_relat_1(A)
& v2_funct_1(A) )
=> B = k2_funct_1(A) ) ) ),
file('SET007+11.ax',t64_funct_1) ).
fof(t65_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
=> k2_funct_1(k2_funct_1(A)) = A ) ),
file('SET007+11.ax',t65_funct_1) ).
fof(t66_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( v2_funct_1(B)
& v2_funct_1(A) )
=> k2_funct_1(k5_relat_1(A,B)) = k5_relat_1(k2_funct_1(B),k2_funct_1(A)) ) ) ),
file('SET007+11.ax',t66_funct_1) ).
fof(t67_funct_1,axiom,
! [A] : k2_funct_1(k6_relat_1(A)) = k6_relat_1(A),
file('SET007+11.ax',t67_funct_1) ).
fof(t68_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( B = k7_relat_1(C,A)
<=> ( ! [D] :
( r2_hidden(D,k1_relat_1(B))
=> k1_funct_1(B,D) = k1_funct_1(C,D) )
& k1_relat_1(B) = k3_xboole_0(k1_relat_1(C),A) ) ) ) ),
file('SET007+11.ax',t68_funct_1) ).
fof(t69_funct_1,axiom,
$true,
file('SET007+11.ax',t69_funct_1) ).
fof(t70_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,k1_relat_1(k7_relat_1(C,A)))
=> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B) ) ),
file('SET007+11.ax',t70_funct_1) ).
fof(t71_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,k3_xboole_0(k1_relat_1(C),A))
=> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B) ) ),
file('SET007+11.ax',t71_funct_1) ).
fof(t72_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,A)
=> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B) ) ),
file('SET007+11.ax',t72_funct_1) ).
fof(t73_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( r2_hidden(B,A)
& r2_hidden(B,k1_relat_1(C)) )
=> r2_hidden(k1_funct_1(C,B),k2_relat_1(k7_relat_1(C,A))) ) ),
file('SET007+11.ax',t73_funct_1) ).
fof(t74_funct_1,axiom,
$true,
file('SET007+11.ax',t74_funct_1) ).
fof(t75_funct_1,axiom,
$true,
file('SET007+11.ax',t75_funct_1) ).
fof(t76_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B))
& r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B)) ) ),
file('SET007+11.ax',t76_funct_1) ).
fof(t77_funct_1,axiom,
$true,
file('SET007+11.ax',t77_funct_1) ).
fof(t78_funct_1,axiom,
$true,
file('SET007+11.ax',t78_funct_1) ).
fof(t79_funct_1,axiom,
$true,
file('SET007+11.ax',t79_funct_1) ).
fof(t80_funct_1,axiom,
$true,
file('SET007+11.ax',t80_funct_1) ).
fof(t81_funct_1,axiom,
$true,
file('SET007+11.ax',t81_funct_1) ).
fof(t82_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r1_tarski(A,B)
=> ( k7_relat_1(k7_relat_1(C,B),A) = k7_relat_1(C,A)
& k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A) ) ) ),
file('SET007+11.ax',t82_funct_1) ).
fof(t83_funct_1,axiom,
$true,
file('SET007+11.ax',t83_funct_1) ).
fof(t84_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v2_funct_1(B)
=> v2_funct_1(k7_relat_1(B,A)) ) ),
file('SET007+11.ax',t84_funct_1) ).
fof(t85_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( B = k8_relat_1(A,C)
<=> ( ! [D] :
( r2_hidden(D,k1_relat_1(B))
=> k1_funct_1(B,D) = k1_funct_1(C,D) )
& ! [D] :
( r2_hidden(D,k1_relat_1(B))
<=> ( r2_hidden(k1_funct_1(C,D),A)
& r2_hidden(D,k1_relat_1(C)) ) ) ) ) ) ),
file('SET007+11.ax',t85_funct_1) ).
fof(t86_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,k1_relat_1(k8_relat_1(A,C)))
<=> ( r2_hidden(k1_funct_1(C,B),A)
& r2_hidden(B,k1_relat_1(C)) ) ) ),
file('SET007+11.ax',t86_funct_1) ).
fof(t87_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(B,k1_relat_1(k8_relat_1(A,C)))
=> k1_funct_1(k8_relat_1(A,C),B) = k1_funct_1(C,B) ) ),
file('SET007+11.ax',t87_funct_1) ).
fof(t88_funct_1,axiom,
$true,
file('SET007+11.ax',t88_funct_1) ).
fof(t89_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B))
& r1_tarski(k1_relat_1(k8_relat_1(A,B)),k1_relat_1(B)) ) ),
file('SET007+11.ax',t89_funct_1) ).
fof(t90_funct_1,axiom,
$true,
file('SET007+11.ax',t90_funct_1) ).
fof(t91_funct_1,axiom,
$true,
file('SET007+11.ax',t91_funct_1) ).
fof(t92_funct_1,axiom,
$true,
file('SET007+11.ax',t92_funct_1) ).
fof(t93_funct_1,axiom,
$true,
file('SET007+11.ax',t93_funct_1) ).
fof(t94_funct_1,axiom,
$true,
file('SET007+11.ax',t94_funct_1) ).
fof(t95_funct_1,axiom,
$true,
file('SET007+11.ax',t95_funct_1) ).
fof(t96_funct_1,axiom,
$true,
file('SET007+11.ax',t96_funct_1) ).
fof(t97_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r1_tarski(A,B)
=> ( k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C)
& k8_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,C) ) ) ),
file('SET007+11.ax',t97_funct_1) ).
fof(t98_funct_1,axiom,
$true,
file('SET007+11.ax',t98_funct_1) ).
fof(t99_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v2_funct_1(B)
=> v2_funct_1(k8_relat_1(A,B)) ) ),
file('SET007+11.ax',t99_funct_1) ).
fof(d10_funct_1,axiom,
$true,
file('SET007+11.ax',d10_funct_1) ).
fof(d11_funct_1,axiom,
$true,
file('SET007+11.ax',d11_funct_1) ).
fof(d12_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B,C] :
( C = k9_relat_1(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ? [E] :
( D = k1_funct_1(A,E)
& r2_hidden(E,B)
& r2_hidden(E,k1_relat_1(A)) ) ) ) ),
file('SET007+11.ax',d12_funct_1) ).
fof(t100_funct_1,axiom,
$true,
file('SET007+11.ax',t100_funct_1) ).
fof(t101_funct_1,axiom,
$true,
file('SET007+11.ax',t101_funct_1) ).
fof(t102_funct_1,axiom,
$true,
file('SET007+11.ax',t102_funct_1) ).
fof(t103_funct_1,axiom,
$true,
file('SET007+11.ax',t103_funct_1) ).
fof(t104_funct_1,axiom,
$true,
file('SET007+11.ax',t104_funct_1) ).
fof(t105_funct_1,axiom,
$true,
file('SET007+11.ax',t105_funct_1) ).
fof(t106_funct_1,axiom,
$true,
file('SET007+11.ax',t106_funct_1) ).
fof(t107_funct_1,axiom,
$true,
file('SET007+11.ax',t107_funct_1) ).
fof(t108_funct_1,axiom,
$true,
file('SET007+11.ax',t108_funct_1) ).
fof(t109_funct_1,axiom,
$true,
file('SET007+11.ax',t109_funct_1) ).
fof(t110_funct_1,axiom,
$true,
file('SET007+11.ax',t110_funct_1) ).
fof(t111_funct_1,axiom,
$true,
file('SET007+11.ax',t111_funct_1) ).
fof(t112_funct_1,axiom,
$true,
file('SET007+11.ax',t112_funct_1) ).
fof(t113_funct_1,axiom,
$true,
file('SET007+11.ax',t113_funct_1) ).
fof(t114_funct_1,axiom,
$true,
file('SET007+11.ax',t114_funct_1) ).
fof(t115_funct_1,axiom,
$true,
file('SET007+11.ax',t115_funct_1) ).
fof(t116_funct_1,axiom,
$true,
file('SET007+11.ax',t116_funct_1) ).
fof(t117_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( r2_hidden(A,k1_relat_1(B))
=> k9_relat_1(B,k1_tarski(A)) = k1_tarski(k1_funct_1(B,A)) ) ),
file('SET007+11.ax',t117_funct_1) ).
fof(t118_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( r2_hidden(B,k1_relat_1(C))
& r2_hidden(A,k1_relat_1(C)) )
=> k9_relat_1(C,k2_tarski(A,B)) = k2_tarski(k1_funct_1(C,A),k1_funct_1(C,B)) ) ),
file('SET007+11.ax',t118_funct_1) ).
fof(t119_funct_1,axiom,
$true,
file('SET007+11.ax',t119_funct_1) ).
fof(t120_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> r1_tarski(k9_relat_1(k8_relat_1(A,C),B),k9_relat_1(C,B)) ),
file('SET007+11.ax',t120_funct_1) ).
fof(t121_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( v2_funct_1(C)
=> k9_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) ) ),
file('SET007+11.ax',t121_funct_1) ).
fof(t122_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( ! [B,C] : k9_relat_1(A,k3_xboole_0(B,C)) = k3_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))
=> v2_funct_1(A) ) ),
file('SET007+11.ax',t122_funct_1) ).
fof(t123_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( v2_funct_1(C)
=> k9_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) ) ),
file('SET007+11.ax',t123_funct_1) ).
fof(t124_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( ! [B,C] : k9_relat_1(A,k4_xboole_0(B,C)) = k4_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))
=> v2_funct_1(A) ) ),
file('SET007+11.ax',t124_funct_1) ).
fof(t125_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( v2_funct_1(C)
& r1_xboole_0(A,B) )
=> r1_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) ) ),
file('SET007+11.ax',t125_funct_1) ).
fof(t126_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> k9_relat_1(k8_relat_1(A,C),B) = k3_xboole_0(A,k9_relat_1(C,B)) ),
file('SET007+11.ax',t126_funct_1) ).
fof(d13_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B,C] :
( C = k10_relat_1(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(k1_funct_1(A,D),B)
& r2_hidden(D,k1_relat_1(A)) ) ) ) ),
file('SET007+11.ax',d13_funct_1) ).
fof(t127_funct_1,axiom,
$true,
file('SET007+11.ax',t127_funct_1) ).
fof(t128_funct_1,axiom,
$true,
file('SET007+11.ax',t128_funct_1) ).
fof(t129_funct_1,axiom,
$true,
file('SET007+11.ax',t129_funct_1) ).
fof(t130_funct_1,axiom,
$true,
file('SET007+11.ax',t130_funct_1) ).
fof(t131_funct_1,axiom,
$true,
file('SET007+11.ax',t131_funct_1) ).
fof(t132_funct_1,axiom,
$true,
file('SET007+11.ax',t132_funct_1) ).
fof(t133_funct_1,axiom,
$true,
file('SET007+11.ax',t133_funct_1) ).
fof(t134_funct_1,axiom,
$true,
file('SET007+11.ax',t134_funct_1) ).
fof(t135_funct_1,axiom,
$true,
file('SET007+11.ax',t135_funct_1) ).
fof(t136_funct_1,axiom,
$true,
file('SET007+11.ax',t136_funct_1) ).
fof(t137_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> k10_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)) ),
file('SET007+11.ax',t137_funct_1) ).
fof(t138_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> k10_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)) ),
file('SET007+11.ax',t138_funct_1) ).
fof(t139_funct_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> k10_relat_1(k7_relat_1(C,A),B) = k3_xboole_0(A,k10_relat_1(C,B)) ),
file('SET007+11.ax',t139_funct_1) ).
fof(t140_funct_1,axiom,
$true,
file('SET007+11.ax',t140_funct_1) ).
fof(t141_funct_1,axiom,
$true,
file('SET007+11.ax',t141_funct_1) ).
fof(t142_funct_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r2_hidden(A,k2_relat_1(B))
<=> k10_relat_1(B,k1_tarski(A)) != k1_xboole_0 ) ),
file('SET007+11.ax',t142_funct_1) ).
fof(t143_funct_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( ! [C] :
~ ( k10_relat_1(B,k1_tarski(C)) = k1_xboole_0
& r2_hidden(C,A) )
=> r1_tarski(A,k2_relat_1(B)) ) ),
file('SET007+11.ax',t143_funct_1) ).
fof(t144_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( ! [B] :
~ ( ! [C] : k10_relat_1(A,k1_tarski(B)) != k1_tarski(C)
& r2_hidden(B,k2_relat_1(A)) )
<=> v2_funct_1(A) ) ),
file('SET007+11.ax',t144_funct_1) ).
fof(t145_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> r1_tarski(k9_relat_1(B,k10_relat_1(B,A)),A) ),
file('SET007+11.ax',t145_funct_1) ).
fof(t146_funct_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,k1_relat_1(B))
=> r1_tarski(A,k10_relat_1(B,k9_relat_1(B,A))) ) ),
file('SET007+11.ax',t146_funct_1) ).
fof(t147_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( r1_tarski(A,k2_relat_1(B))
=> k9_relat_1(B,k10_relat_1(B,A)) = A ) ),
file('SET007+11.ax',t147_funct_1) ).
fof(t148_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> k9_relat_1(B,k10_relat_1(B,A)) = k3_xboole_0(A,k9_relat_1(B,k1_relat_1(B))) ),
file('SET007+11.ax',t148_funct_1) ).
fof(t149_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> r1_tarski(k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))),k3_xboole_0(k9_relat_1(C,A),B)) ),
file('SET007+11.ax',t149_funct_1) ).
fof(t150_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))) = k3_xboole_0(k9_relat_1(C,A),B) ),
file('SET007+11.ax',t150_funct_1) ).
fof(t151_funct_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> r1_tarski(k3_xboole_0(A,k10_relat_1(C,B)),k10_relat_1(C,k3_xboole_0(k9_relat_1(C,A),B))) ),
file('SET007+11.ax',t151_funct_1) ).
fof(t152_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v2_funct_1(B)
=> r1_tarski(k10_relat_1(B,k9_relat_1(B,A)),A) ) ),
file('SET007+11.ax',t152_funct_1) ).
fof(t153_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( ! [B] : r1_tarski(k10_relat_1(A,k9_relat_1(A,B)),B)
=> v2_funct_1(A) ) ),
file('SET007+11.ax',t153_funct_1) ).
fof(t154_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v2_funct_1(B)
=> k9_relat_1(B,A) = k10_relat_1(k2_funct_1(B),A) ) ),
file('SET007+11.ax',t154_funct_1) ).
fof(t155_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v2_funct_1(B)
=> k10_relat_1(B,A) = k9_relat_1(k2_funct_1(B),A) ) ),
file('SET007+11.ax',t155_funct_1) ).
fof(t156_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_relat_1(D) )
=> ( ( k5_relat_1(B,C) = k5_relat_1(B,D)
& k1_relat_1(D) = A
& k1_relat_1(C) = A
& A = k2_relat_1(B) )
=> C = D ) ) ) ),
file('SET007+11.ax',t156_funct_1) ).
fof(t157_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( v2_funct_1(C)
& r1_tarski(A,k1_relat_1(C))
& r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) )
=> r1_tarski(A,B) ) ),
file('SET007+11.ax',t157_funct_1) ).
fof(t158_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( r1_tarski(A,k2_relat_1(C))
& r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) )
=> r1_tarski(A,B) ) ),
file('SET007+11.ax',t158_funct_1) ).
fof(t159_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
<=> ! [B] :
? [C] : r1_tarski(k10_relat_1(A,k1_tarski(B)),k1_tarski(C)) ) ),
file('SET007+11.ax',t159_funct_1) ).
fof(t160_funct_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(k2_relat_1(B),k1_relat_1(C))
=> r1_tarski(k10_relat_1(B,A),k10_relat_1(k5_relat_1(B,C),k9_relat_1(C,A))) ) ) ),
file('SET007+11.ax',t160_funct_1) ).
fof(t161_funct_1,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( r1_tarski(B,k2_relat_1(C))
& r1_tarski(A,k2_relat_1(C))
& k10_relat_1(C,A) = k10_relat_1(C,B) )
=> A = B ) ),
file('SET007+11.ax',t161_funct_1) ).
fof(t162_funct_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> k9_relat_1(k6_relat_1(A),B) = B ),
file('SET007+11.ax',t162_funct_1) ).
fof(d14_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v3_relat_1(A)
<=> ! [B] :
( r2_hidden(B,k1_relat_1(A))
=> v1_xboole_0(k1_funct_1(A,B)) ) ) ),
file('SET007+11.ax',d14_funct_1) ).
fof(d15_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_relat_1(A)
<=> ! [B] :
~ ( v1_xboole_0(k1_funct_1(A,B))
& r2_hidden(B,k1_relat_1(A)) ) ) ),
file('SET007+11.ax',d15_funct_1) ).
fof(s1_funct_1,axiom,
( ! [A,B,C] :
( ( p1_s1_funct_1(A,C)
& p1_s1_funct_1(A,B) )
=> B = C )
=> ? [A] :
( ! [B,C] :
( r2_hidden(k4_tarski(B,C),A)
<=> ( p1_s1_funct_1(B,C)
& r2_hidden(B,f1_s1_funct_1) ) )
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+11.ax',s1_funct_1) ).
fof(s2_funct_1,axiom,
( ( ! [A] :
~ ( ! [B] : ~ p1_s2_funct_1(A,B)
& r2_hidden(A,f1_s2_funct_1) )
& ! [A,B,C] :
( ( p1_s2_funct_1(A,C)
& p1_s2_funct_1(A,B)
& r2_hidden(A,f1_s2_funct_1) )
=> B = C ) )
=> ? [A] :
( ! [B] :
( r2_hidden(B,f1_s2_funct_1)
=> p1_s2_funct_1(B,k1_funct_1(A,B)) )
& k1_relat_1(A) = f1_s2_funct_1
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+11.ax',s2_funct_1) ).
fof(s3_funct_1,axiom,
? [A] :
( ! [B] :
( r2_hidden(B,f1_s3_funct_1)
=> k1_funct_1(A,B) = f2_s3_funct_1(B) )
& k1_relat_1(A) = f1_s3_funct_1
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+11.ax',s3_funct_1) ).
fof(s4_funct_1,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s4_funct_1)
=> k1_funct_1(A,B) = f2_s4_funct_1(B) )
& k1_relat_1(A) = f1_s4_funct_1
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+11.ax',s4_funct_1) ).
fof(dt_k1_funct_1,axiom,
$true,
file('SET007+11.ax',dt_k1_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_funct_1(k2_funct_1(A))
& v1_relat_1(k2_funct_1(A)) ) ),
file('SET007+11.ax',dt_k2_funct_1) ).
fof(fc1_ordinal1,axiom,
! [A] : ~ v1_xboole_0(k1_ordinal1(A)),
file('SET007+14.ax',fc1_ordinal1) ).
fof(cc1_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+14.ax',cc1_ordinal1) ).
fof(cc2_ordinal1,axiom,
! [A] :
( ( v2_ordinal1(A)
& v1_ordinal1(A) )
=> v3_ordinal1(A) ),
file('SET007+14.ax',cc2_ordinal1) ).
fof(rc1_ordinal1,axiom,
? [A] :
( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ),
file('SET007+14.ax',rc1_ordinal1) ).
fof(rc2_ordinal1,axiom,
? [A] :
( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A)
& v1_xboole_0(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+14.ax',rc2_ordinal1) ).
fof(cc3_ordinal1,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+14.ax',cc3_ordinal1) ).
fof(fc2_ordinal1,axiom,
( v3_ordinal1(k1_xboole_0)
& v2_ordinal1(k1_xboole_0)
& v1_ordinal1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('SET007+14.ax',fc2_ordinal1) ).
fof(rc3_ordinal1,axiom,
? [A] :
( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A)
& ~ v1_xboole_0(A) ),
file('SET007+14.ax',rc3_ordinal1) ).
fof(fc3_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( v3_ordinal1(k1_ordinal1(A))
& v2_ordinal1(k1_ordinal1(A))
& v1_ordinal1(k1_ordinal1(A))
& ~ v1_xboole_0(k1_ordinal1(A)) ) ),
file('SET007+14.ax',fc3_ordinal1) ).
fof(fc4_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( v3_ordinal1(k3_tarski(A))
& v2_ordinal1(k3_tarski(A))
& v1_ordinal1(k3_tarski(A)) ) ),
file('SET007+14.ax',fc4_ordinal1) ).
fof(rc4_ordinal1,axiom,
? [A] :
( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+14.ax',rc4_ordinal1) ).
fof(fc5_ordinal1,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v3_ordinal1(k1_relat_1(A))
& v2_ordinal1(k1_relat_1(A))
& v1_ordinal1(k1_relat_1(A)) ) ),
file('SET007+14.ax',fc5_ordinal1) ).
fof(t1_ordinal1,axiom,
$true,
file('SET007+14.ax',t1_ordinal1) ).
fof(t2_ordinal1,axiom,
$true,
file('SET007+14.ax',t2_ordinal1) ).
fof(t3_ordinal1,axiom,
! [A,B,C] :
~ ( r2_hidden(C,A)
& r2_hidden(B,C)
& r2_hidden(A,B) ),
file('SET007+14.ax',t3_ordinal1) ).
fof(t4_ordinal1,axiom,
! [A,B,C,D] :
~ ( r2_hidden(D,A)
& r2_hidden(C,D)
& r2_hidden(B,C)
& r2_hidden(A,B) ),
file('SET007+14.ax',t4_ordinal1) ).
fof(t5_ordinal1,axiom,
! [A,B,C,D,E] :
~ ( r2_hidden(E,A)
& r2_hidden(D,E)
& r2_hidden(C,D)
& r2_hidden(B,C)
& r2_hidden(A,B) ),
file('SET007+14.ax',t5_ordinal1) ).
fof(t6_ordinal1,axiom,
! [A,B,C,D,E,F] :
~ ( r2_hidden(F,A)
& r2_hidden(E,F)
& r2_hidden(D,E)
& r2_hidden(C,D)
& r2_hidden(B,C)
& r2_hidden(A,B) ),
file('SET007+14.ax',t6_ordinal1) ).
fof(t7_ordinal1,axiom,
! [A,B] :
~ ( r1_tarski(B,A)
& r2_hidden(A,B) ),
file('SET007+14.ax',t7_ordinal1) ).
fof(d1_ordinal1,axiom,
! [A] : k1_ordinal1(A) = k2_xboole_0(A,k1_tarski(A)),
file('SET007+14.ax',d1_ordinal1) ).
fof(t8_ordinal1,axiom,
$true,
file('SET007+14.ax',t8_ordinal1) ).
fof(t9_ordinal1,axiom,
$true,
file('SET007+14.ax',t9_ordinal1) ).
fof(t10_ordinal1,axiom,
! [A] : r2_hidden(A,k1_ordinal1(A)),
file('SET007+14.ax',t10_ordinal1) ).
fof(t11_ordinal1,axiom,
$true,
file('SET007+14.ax',t11_ordinal1) ).
fof(t12_ordinal1,axiom,
! [A,B] :
( k1_ordinal1(A) = k1_ordinal1(B)
=> A = B ),
file('SET007+14.ax',t12_ordinal1) ).
fof(t13_ordinal1,axiom,
! [A,B] :
( r2_hidden(A,k1_ordinal1(B))
<=> ( A = B
| r2_hidden(A,B) ) ),
file('SET007+14.ax',t13_ordinal1) ).
fof(t14_ordinal1,axiom,
! [A] : A != k1_ordinal1(A),
file('SET007+14.ax',t14_ordinal1) ).
fof(d2_ordinal1,axiom,
! [A] :
( v1_ordinal1(A)
<=> ! [B] :
( r2_hidden(B,A)
=> r1_tarski(B,A) ) ),
file('SET007+14.ax',d2_ordinal1) ).
fof(d3_ordinal1,axiom,
! [A] :
( v2_ordinal1(A)
<=> ! [B,C] :
~ ( ~ r2_hidden(C,B)
& B != C
& ~ r2_hidden(B,C)
& r2_hidden(C,A)
& r2_hidden(B,A) ) ),
file('SET007+14.ax',d3_ordinal1) ).
fof(d4_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
<=> ( v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+14.ax',d4_ordinal1) ).
fof(t15_ordinal1,axiom,
$true,
file('SET007+14.ax',t15_ordinal1) ).
fof(t16_ordinal1,axiom,
$true,
file('SET007+14.ax',t16_ordinal1) ).
fof(t17_ordinal1,axiom,
$true,
file('SET007+14.ax',t17_ordinal1) ).
fof(t18_ordinal1,axiom,
$true,
file('SET007+14.ax',t18_ordinal1) ).
fof(t19_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v1_ordinal1(C)
=> ( ( r2_hidden(A,B)
& r2_hidden(C,A) )
=> r2_hidden(C,B) ) ) ) ),
file('SET007+14.ax',t19_ordinal1) ).
fof(t20_ordinal1,axiom,
$true,
file('SET007+14.ax',t20_ordinal1) ).
fof(t21_ordinal1,axiom,
! [A] :
( v1_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r2_xboole_0(A,B)
=> r2_hidden(A,B) ) ) ),
file('SET007+14.ax',t21_ordinal1) ).
fof(t22_ordinal1,axiom,
! [A] :
( v1_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( ( r2_hidden(B,C)
& r1_tarski(A,B) )
=> r2_hidden(A,C) ) ) ) ),
file('SET007+14.ax',t22_ordinal1) ).
fof(t23_ordinal1,axiom,
! [A,B] :
( v3_ordinal1(B)
=> ( r2_hidden(A,B)
=> v3_ordinal1(A) ) ),
file('SET007+14.ax',t23_ordinal1) ).
fof(t24_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ~ ( ~ r2_hidden(B,A)
& A != B
& ~ r2_hidden(A,B) ) ) ),
file('SET007+14.ax',t24_ordinal1) ).
fof(t25_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> r3_xboole_0(A,B) ) ),
file('SET007+14.ax',t25_ordinal1) ).
fof(t26_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,A)
| r1_ordinal1(A,B) ) ) ),
file('SET007+14.ax',t26_ordinal1) ).
fof(t27_ordinal1,axiom,
v3_ordinal1(k1_xboole_0),
file('SET007+14.ax',t27_ordinal1) ).
fof(t28_ordinal1,axiom,
$true,
file('SET007+14.ax',t28_ordinal1) ).
fof(t29_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> v3_ordinal1(k1_ordinal1(A)) ),
file('SET007+14.ax',t29_ordinal1) ).
fof(t30_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> v3_ordinal1(k3_tarski(A)) ),
file('SET007+14.ax',t30_ordinal1) ).
fof(t31_ordinal1,axiom,
! [A] :
( ! [B] :
( r2_hidden(B,A)
=> ( r1_tarski(B,A)
& v3_ordinal1(B) ) )
=> v3_ordinal1(A) ),
file('SET007+14.ax',t31_ordinal1) ).
fof(t32_ordinal1,axiom,
! [A,B] :
( v3_ordinal1(B)
=> ~ ( ! [C] :
( v3_ordinal1(C)
=> ~ ( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,A)
=> r1_ordinal1(C,D) ) )
& r2_hidden(C,A) ) )
& A != k1_xboole_0
& r1_tarski(A,B) ) ),
file('SET007+14.ax',t32_ordinal1) ).
fof(t33_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(A,B)
<=> r1_ordinal1(k1_ordinal1(A),B) ) ) ),
file('SET007+14.ax',t33_ordinal1) ).
fof(t34_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(A,k1_ordinal1(B))
<=> r1_ordinal1(A,B) ) ) ),
file('SET007+14.ax',t34_ordinal1) ).
fof(t35_ordinal1,axiom,
! [A] :
( ! [B] :
( r2_hidden(B,A)
=> v3_ordinal1(B) )
=> v3_ordinal1(k3_tarski(A)) ),
file('SET007+14.ax',t35_ordinal1) ).
fof(t36_ordinal1,axiom,
! [A] :
~ ( ! [B] :
( v3_ordinal1(B)
=> ~ r1_tarski(A,B) )
& ! [B] :
( r2_hidden(B,A)
=> v3_ordinal1(B) ) ),
file('SET007+14.ax',t36_ordinal1) ).
fof(t37_ordinal1,axiom,
! [A] :
~ ! [B] :
( r2_hidden(B,A)
<=> v3_ordinal1(B) ),
file('SET007+14.ax',t37_ordinal1) ).
fof(t38_ordinal1,axiom,
! [A] :
~ ! [B] :
( v3_ordinal1(B)
=> r2_hidden(B,A) ),
file('SET007+14.ax',t38_ordinal1) ).
fof(t39_ordinal1,axiom,
! [A] :
? [B] :
( ! [C] :
( v3_ordinal1(C)
=> ( ~ r2_hidden(C,A)
=> r1_ordinal1(B,C) ) )
& ~ r2_hidden(B,A)
& v3_ordinal1(B) ),
file('SET007+14.ax',t39_ordinal1) ).
fof(d5_ordinal1,axiom,
$true,
file('SET007+14.ax',d5_ordinal1) ).
fof(d6_ordinal1,axiom,
! [A] :
( v4_ordinal1(A)
<=> A = k3_tarski(A) ),
file('SET007+14.ax',d6_ordinal1) ).
fof(t40_ordinal1,axiom,
$true,
file('SET007+14.ax',t40_ordinal1) ).
fof(t41_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( v4_ordinal1(A)
<=> ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,A)
=> r2_hidden(k1_ordinal1(B),A) ) ) ) ),
file('SET007+14.ax',t41_ordinal1) ).
fof(t42_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( ~ ( v4_ordinal1(A)
& ? [B] :
( A = k1_ordinal1(B)
& v3_ordinal1(B) ) )
& ~ ( ! [B] :
( v3_ordinal1(B)
=> A != k1_ordinal1(B) )
& ~ v4_ordinal1(A) ) ) ),
file('SET007+14.ax',t42_ordinal1) ).
fof(d7_ordinal1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v5_ordinal1(A)
<=> v3_ordinal1(k1_relat_1(A)) ) ),
file('SET007+14.ax',d7_ordinal1) ).
fof(d8_ordinal1,axiom,
! [A,B] :
( ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( m1_ordinal1(B,A)
<=> r1_tarski(k2_relat_1(B),A) ) ),
file('SET007+14.ax',d8_ordinal1) ).
fof(t43_ordinal1,axiom,
$true,
file('SET007+14.ax',t43_ordinal1) ).
fof(t44_ordinal1,axiom,
$true,
file('SET007+14.ax',t44_ordinal1) ).
fof(t45_ordinal1,axiom,
! [A] : m1_ordinal1(k1_xboole_0,A),
file('SET007+14.ax',t45_ordinal1) ).
fof(t46_ordinal1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v3_ordinal1(k1_relat_1(A))
=> m1_ordinal1(A,k2_relat_1(A)) ) ),
file('SET007+14.ax',t46_ordinal1) ).
fof(t47_ordinal1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> ! [C] :
( m1_ordinal1(C,A)
=> m1_ordinal1(C,B) ) ),
file('SET007+14.ax',t47_ordinal1) ).
fof(t48_ordinal1,axiom,
! [A,B] :
( m1_ordinal1(B,A)
=> ! [C] :
( v3_ordinal1(C)
=> m1_ordinal1(k2_ordinal1(B,C),A) ) ),
file('SET007+14.ax',t48_ordinal1) ).
fof(d9_ordinal1,axiom,
! [A] :
( v6_ordinal1(A)
<=> ! [B,C] :
( ( r2_hidden(C,A)
& r2_hidden(B,A) )
=> r3_xboole_0(B,C) ) ),
file('SET007+14.ax',d9_ordinal1) ).
fof(t49_ordinal1,axiom,
! [A] :
( ( v6_ordinal1(A)
& ! [B] :
( r2_hidden(B,A)
=> ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) ) ) )
=> ( v5_ordinal1(k3_tarski(A))
& v1_funct_1(k3_tarski(A))
& v1_relat_1(k3_tarski(A)) ) ),
file('SET007+14.ax',t49_ordinal1) ).
fof(t50_ordinal1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ~ ( ~ r2_xboole_0(B,A)
& A != B
& ~ r2_xboole_0(A,B) ) ) ),
file('SET007+14.ax',t50_ordinal1) ).
fof(s1_ordinal1,axiom,
( ? [A] :
( p1_s1_ordinal1(A)
& v3_ordinal1(A) )
=> ? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ( p1_s1_ordinal1(B)
=> r1_ordinal1(A,B) ) )
& p1_s1_ordinal1(A)
& v3_ordinal1(A) ) ),
file('SET007+14.ax',s1_ordinal1) ).
fof(s2_ordinal1,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ( ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,A)
=> p1_s2_ordinal1(B) ) )
=> p1_s2_ordinal1(A) ) )
=> ! [A] :
( v3_ordinal1(A)
=> p1_s2_ordinal1(A) ) ),
file('SET007+14.ax',s2_ordinal1) ).
fof(s3_ordinal1,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( B = k2_ordinal1(f4_s3_ordinal1,A)
& r2_hidden(A,f1_s3_ordinal1) )
=> k1_funct_1(f4_s3_ordinal1,A) = f2_s3_ordinal1(B) ) ) )
& k1_relat_1(f4_s3_ordinal1) = f1_s3_ordinal1
& ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( B = k2_ordinal1(f3_s3_ordinal1,A)
& r2_hidden(A,f1_s3_ordinal1) )
=> k1_funct_1(f3_s3_ordinal1,A) = f2_s3_ordinal1(B) ) ) )
& k1_relat_1(f3_s3_ordinal1) = f1_s3_ordinal1 )
=> f3_s3_ordinal1 = f4_s3_ordinal1 ),
file('SET007+14.ax',s3_ordinal1) ).
fof(s4_ordinal1,axiom,
? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( ( v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( C = k2_ordinal1(A,B)
& r2_hidden(B,f1_s4_ordinal1) )
=> k1_funct_1(A,B) = f2_s4_ordinal1(C) ) ) )
& k1_relat_1(A) = f1_s4_ordinal1
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+14.ax',s4_ordinal1) ).
fof(s5_ordinal1,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(A,k1_relat_1(f1_s5_ordinal1))
=> k1_funct_1(f1_s5_ordinal1,A) = f2_s5_ordinal1(A) ) )
& ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( B = f2_s5_ordinal1(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,A)
=> k1_funct_1(C,D) = f3_s5_ordinal1(k2_ordinal1(C,D)) ) )
& k1_relat_1(C) = A
& B = f3_s5_ordinal1(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) )
=> ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(A,k1_relat_1(f1_s5_ordinal1))
=> k1_funct_1(f1_s5_ordinal1,A) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,A)) ) ) ),
file('SET007+14.ax',s5_ordinal1) ).
fof(dt_m1_ordinal1,axiom,
! [A,B] :
( m1_ordinal1(B,A)
=> ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) ) ),
file('SET007+14.ax',dt_m1_ordinal1) ).
fof(existence_m1_ordinal1,axiom,
! [A] :
? [B] : m1_ordinal1(B,A),
file('SET007+14.ax',existence_m1_ordinal1) ).
fof(reflexivity_r1_ordinal1,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v3_ordinal1(A) )
=> r1_ordinal1(A,A) ),
file('SET007+14.ax',reflexivity_r1_ordinal1) ).
fof(connectedness_r1_ordinal1,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v3_ordinal1(A) )
=> ( r1_ordinal1(B,A)
| r1_ordinal1(A,B) ) ),
file('SET007+14.ax',connectedness_r1_ordinal1) ).
fof(redefinition_r1_ordinal1,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v3_ordinal1(A) )
=> ( r1_ordinal1(A,B)
<=> r1_tarski(A,B) ) ),
file('SET007+14.ax',redefinition_r1_ordinal1) ).
fof(dt_k1_ordinal1,axiom,
$true,
file('SET007+14.ax',dt_k1_ordinal1) ).
fof(dt_k2_ordinal1,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> m1_ordinal1(k2_ordinal1(A,B),k2_relat_1(A)) ),
file('SET007+14.ax',dt_k2_ordinal1) ).
fof(redefinition_k2_ordinal1,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k2_ordinal1(A,B) = k7_relat_1(A,B) ),
file('SET007+14.ax',redefinition_k2_ordinal1) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('SET007+16.ax',cc1_relset_1) ).
fof(d1_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
<=> r1_tarski(C,k2_zfmisc_1(A,B)) ),
file('SET007+16.ax',d1_relset_1) ).
fof(t1_relset_1,axiom,
$true,
file('SET007+16.ax',t1_relset_1) ).
fof(t2_relset_1,axiom,
$true,
file('SET007+16.ax',t2_relset_1) ).
fof(t3_relset_1,axiom,
$true,
file('SET007+16.ax',t3_relset_1) ).
fof(t4_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,B,C)
=> ( r1_tarski(A,D)
=> m2_relset_1(A,B,C) ) ),
file('SET007+16.ax',t4_relset_1) ).
fof(t5_relset_1,axiom,
$true,
file('SET007+16.ax',t5_relset_1) ).
fof(t6_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,A,B)
=> ~ ( ! [E,F] :
~ ( r2_hidden(F,B)
& r2_hidden(E,A)
& C = k4_tarski(E,F) )
& r2_hidden(C,D) ) ),
file('SET007+16.ax',t6_relset_1) ).
fof(t7_relset_1,axiom,
$true,
file('SET007+16.ax',t7_relset_1) ).
fof(t8_relset_1,axiom,
! [A,B,C,D] :
( ( r2_hidden(D,B)
& r2_hidden(C,A) )
=> m2_relset_1(k1_tarski(k4_tarski(C,D)),A,B) ),
file('SET007+16.ax',t8_relset_1) ).
fof(t9_relset_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k1_relat_1(B),A)
=> m2_relset_1(B,A,k2_relat_1(B)) ) ),
file('SET007+16.ax',t9_relset_1) ).
fof(t10_relset_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(k2_relat_1(B),A)
=> m2_relset_1(B,k1_relat_1(B),A) ) ),
file('SET007+16.ax',t10_relset_1) ).
fof(t11_relset_1,axiom,
! [A,B,C] :
( v1_relat_1(C)
=> ( ( r1_tarski(k2_relat_1(C),B)
& r1_tarski(k1_relat_1(C),A) )
=> m2_relset_1(C,A,B) ) ),
file('SET007+16.ax',t11_relset_1) ).
fof(t12_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( r1_tarski(k2_relat_1(C),B)
& r1_tarski(k1_relat_1(C),A) ) ),
file('SET007+16.ax',t12_relset_1) ).
fof(t13_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,A,C)
=> ( r1_tarski(k1_relat_1(D),B)
=> m2_relset_1(D,B,C) ) ),
file('SET007+16.ax',t13_relset_1) ).
fof(t14_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,C,A)
=> ( r1_tarski(k2_relat_1(D),B)
=> m2_relset_1(D,C,B) ) ),
file('SET007+16.ax',t14_relset_1) ).
fof(t15_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,A,C)
=> ( r1_tarski(A,B)
=> m2_relset_1(D,B,C) ) ),
file('SET007+16.ax',t15_relset_1) ).
fof(t16_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,C,A)
=> ( r1_tarski(A,B)
=> m2_relset_1(D,C,B) ) ),
file('SET007+16.ax',t16_relset_1) ).
fof(t17_relset_1,axiom,
! [A,B,C,D,E] :
( m2_relset_1(E,A,C)
=> ( ( r1_tarski(C,D)
& r1_tarski(A,B) )
=> m2_relset_1(E,B,D) ) ),
file('SET007+16.ax',t17_relset_1) ).
fof(t18_relset_1,axiom,
$true,
file('SET007+16.ax',t18_relset_1) ).
fof(t19_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> r1_tarski(k3_relat_1(C),k2_xboole_0(A,B)) ),
file('SET007+16.ax',t19_relset_1) ).
fof(t20_relset_1,axiom,
$true,
file('SET007+16.ax',t20_relset_1) ).
fof(t21_relset_1,axiom,
$true,
file('SET007+16.ax',t21_relset_1) ).
fof(t22_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( ! [D] :
~ ( ! [E] : ~ r2_hidden(k4_tarski(D,E),C)
& r2_hidden(D,B) )
<=> k4_relset_1(B,A,C) = B ) ),
file('SET007+16.ax',t22_relset_1) ).
fof(t23_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( ! [D] :
~ ( ! [E] : ~ r2_hidden(k4_tarski(E,D),C)
& r2_hidden(D,B) )
<=> k5_relset_1(A,B,C) = B ) ),
file('SET007+16.ax',t23_relset_1) ).
fof(t24_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k5_relset_1(B,A,k6_relset_1(A,B,C)) = k4_relset_1(A,B,C)
& k4_relset_1(B,A,k6_relset_1(A,B,C)) = k5_relset_1(A,B,C) ) ),
file('SET007+16.ax',t24_relset_1) ).
fof(t25_relset_1,axiom,
! [A,B] : m2_relset_1(k1_xboole_0,A,B),
file('SET007+16.ax',t25_relset_1) ).
fof(t26_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( m2_relset_1(C,k1_xboole_0,B)
=> C = k1_xboole_0 ) ),
file('SET007+16.ax',t26_relset_1) ).
fof(t27_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( m2_relset_1(C,B,k1_xboole_0)
=> C = k1_xboole_0 ) ),
file('SET007+16.ax',t27_relset_1) ).
fof(t28_relset_1,axiom,
! [A] : r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A)),
file('SET007+16.ax',t28_relset_1) ).
fof(t29_relset_1,axiom,
! [A] : m2_relset_1(k6_relat_1(A),A,A),
file('SET007+16.ax',t29_relset_1) ).
fof(t30_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,A,B)
=> ( r1_tarski(k6_relat_1(C),D)
=> ( r1_tarski(C,k5_relset_1(A,B,D))
& r1_tarski(C,k4_relset_1(A,B,D)) ) ) ),
file('SET007+16.ax',t30_relset_1) ).
fof(t31_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( r1_tarski(k6_relat_1(B),C)
=> ( r1_tarski(B,k5_relset_1(B,A,C))
& B = k4_relset_1(B,A,C) ) ) ),
file('SET007+16.ax',t31_relset_1) ).
fof(t32_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( r1_tarski(k6_relat_1(B),C)
=> ( B = k5_relset_1(A,B,C)
& r1_tarski(B,k4_relset_1(A,B,C)) ) ) ),
file('SET007+16.ax',t32_relset_1) ).
fof(t33_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,A,C)
=> m2_relset_1(k8_relset_1(A,C,D,B),B,C) ),
file('SET007+16.ax',t33_relset_1) ).
fof(t34_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,B,A)
=> ( r1_tarski(B,C)
=> k8_relset_1(B,A,D,C) = D ) ),
file('SET007+16.ax',t34_relset_1) ).
fof(t35_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,C,A)
=> m2_relset_1(k9_relset_1(C,A,B,D),C,B) ),
file('SET007+16.ax',t35_relset_1) ).
fof(t36_relset_1,axiom,
! [A,B,C,D] :
( m2_relset_1(D,A,B)
=> ( r1_tarski(B,C)
=> k9_relset_1(A,B,C,D) = D ) ),
file('SET007+16.ax',t36_relset_1) ).
fof(t37_relset_1,axiom,
$true,
file('SET007+16.ax',t37_relset_1) ).
fof(t38_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C)
& k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C) ) ),
file('SET007+16.ax',t38_relset_1) ).
fof(t39_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k11_relset_1(B,A,C,k10_relset_1(B,A,C,B)) = k4_relset_1(B,A,C)
& k10_relset_1(B,A,C,k11_relset_1(B,A,C,A)) = k5_relset_1(B,A,C) ) ),
file('SET007+16.ax',t39_relset_1) ).
fof(t40_relset_1,axiom,
$true,
file('SET007+16.ax',t40_relset_1) ).
fof(t41_relset_1,axiom,
$true,
file('SET007+16.ax',t41_relset_1) ).
fof(t42_relset_1,axiom,
$true,
file('SET007+16.ax',t42_relset_1) ).
fof(t43_relset_1,axiom,
$true,
file('SET007+16.ax',t43_relset_1) ).
fof(t44_relset_1,axiom,
$true,
file('SET007+16.ax',t44_relset_1) ).
fof(t45_relset_1,axiom,
! [A,B] :
( m2_relset_1(B,A,A)
=> ( k5_relat_1(k6_relat_1(A),B) = B
& k5_relat_1(B,k6_relat_1(A)) = B ) ),
file('SET007+16.ax',t45_relset_1) ).
fof(t46_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> k6_relat_1(A) != k1_xboole_0 ),
file('SET007+16.ax',t46_relset_1) ).
fof(t47_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m2_relset_1(C,A,B)
=> ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,k4_relset_1(A,B,C))
<=> ? [E] :
( r2_hidden(k4_tarski(D,E),C)
& m1_subset_1(E,B) ) ) ) ) ) ),
file('SET007+16.ax',t47_relset_1) ).
fof(t48_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m2_relset_1(C,B,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,k5_relset_1(B,A,C))
<=> ? [E] :
( r2_hidden(k4_tarski(E,D),C)
& m1_subset_1(E,B) ) ) ) ) ) ),
file('SET007+16.ax',t48_relset_1) ).
fof(t49_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m2_relset_1(C,A,B)
=> ! [D] :
( m1_subset_1(D,A)
=> ~ ( ! [E] :
( m1_subset_1(E,B)
=> ~ r2_hidden(E,k5_relset_1(A,B,C)) )
& r2_hidden(D,k4_relset_1(A,B,C)) ) ) ) ) ),
file('SET007+16.ax',t49_relset_1) ).
fof(t50_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m2_relset_1(C,B,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ~ ( ! [E] :
( m1_subset_1(E,B)
=> ~ r2_hidden(E,k4_relset_1(B,A,C)) )
& r2_hidden(D,k5_relset_1(B,A,C)) ) ) ) ) ),
file('SET007+16.ax',t50_relset_1) ).
fof(t51_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( ~ v1_xboole_0(C)
=> ! [D] :
( m2_relset_1(D,A,B)
=> ! [E] :
( m2_relset_1(E,B,C)
=> ! [F] :
( m1_subset_1(F,A)
=> ! [G] :
( m1_subset_1(G,C)
=> ( r2_hidden(k4_tarski(F,G),k7_relset_1(A,B,B,C,D,E))
<=> ? [H] :
( r2_hidden(k4_tarski(H,G),E)
& r2_hidden(k4_tarski(F,H),D)
& m1_subset_1(H,B) ) ) ) ) ) ) ) ) ),
file('SET007+16.ax',t51_relset_1) ).
fof(t52_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( ~ v1_xboole_0(C)
=> ! [D] :
( m2_relset_1(D,C,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ( r2_hidden(E,k10_relset_1(C,A,D,B))
<=> ? [F] :
( r2_hidden(F,B)
& r2_hidden(k4_tarski(F,E),D)
& m1_subset_1(F,C) ) ) ) ) ) ) ),
file('SET007+16.ax',t52_relset_1) ).
fof(t53_relset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( ~ v1_xboole_0(C)
=> ! [D] :
( m2_relset_1(D,A,C)
=> ! [E] :
( m1_subset_1(E,A)
=> ( r2_hidden(E,k11_relset_1(A,C,D,B))
<=> ? [F] :
( r2_hidden(F,B)
& r2_hidden(k4_tarski(E,F),D)
& m1_subset_1(F,C) ) ) ) ) ) ) ),
file('SET007+16.ax',t53_relset_1) ).
fof(s1_relset_1,axiom,
? [A] :
( ! [B,C] :
( r2_hidden(k4_tarski(B,C),A)
<=> ( p1_s1_relset_1(B,C)
& r2_hidden(C,f2_s1_relset_1)
& r2_hidden(B,f1_s1_relset_1) ) )
& m2_relset_1(A,f1_s1_relset_1,f2_s1_relset_1) ),
file('SET007+16.ax',s1_relset_1) ).
fof(s2_relset_1,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s2_relset_1)
=> ! [C] :
( m1_subset_1(C,f2_s2_relset_1)
=> ( r2_hidden(k4_tarski(B,C),A)
<=> p1_s2_relset_1(B,C) ) ) )
& m2_relset_1(A,f1_s2_relset_1,f2_s2_relset_1) ),
file('SET007+16.ax',s2_relset_1) ).
fof(dt_m1_relset_1,axiom,
$true,
file('SET007+16.ax',dt_m1_relset_1) ).
fof(existence_m1_relset_1,axiom,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
file('SET007+16.ax',existence_m1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('SET007+16.ax',dt_m2_relset_1) ).
fof(existence_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('SET007+16.ax',existence_m2_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('SET007+16.ax',redefinition_m2_relset_1) ).
fof(dt_k1_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> m2_relset_1(k1_relset_1(A,B,C,D),A,B) ),
file('SET007+16.ax',dt_k1_relset_1) ).
fof(commutativity_k1_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k1_relset_1(A,B,C,D) = k1_relset_1(A,B,D,C) ),
file('SET007+16.ax',commutativity_k1_relset_1) ).
fof(idempotence_k1_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k1_relset_1(A,B,C,C) = C ),
file('SET007+16.ax',idempotence_k1_relset_1) ).
fof(redefinition_k1_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k1_relset_1(A,B,C,D) = k2_xboole_0(C,D) ),
file('SET007+16.ax',redefinition_k1_relset_1) ).
fof(dt_k2_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> m2_relset_1(k2_relset_1(A,B,C,D),A,B) ),
file('SET007+16.ax',dt_k2_relset_1) ).
fof(commutativity_k2_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k2_relset_1(A,B,C,D) = k2_relset_1(A,B,D,C) ),
file('SET007+16.ax',commutativity_k2_relset_1) ).
fof(idempotence_k2_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k2_relset_1(A,B,C,C) = C ),
file('SET007+16.ax',idempotence_k2_relset_1) ).
fof(redefinition_k2_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k2_relset_1(A,B,C,D) = k3_xboole_0(C,D) ),
file('SET007+16.ax',redefinition_k2_relset_1) ).
fof(dt_k3_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> m2_relset_1(k3_relset_1(A,B,C,D),A,B) ),
file('SET007+16.ax',dt_k3_relset_1) ).
fof(redefinition_k3_relset_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,A,B)
& m1_relset_1(C,A,B) )
=> k3_relset_1(A,B,C,D) = k4_xboole_0(C,D) ),
file('SET007+16.ax',redefinition_k3_relset_1) ).
fof(dt_k4_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ),
file('SET007+16.ax',dt_k4_relset_1) ).
fof(redefinition_k4_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k4_relset_1(A,B,C) = k1_relat_1(C) ),
file('SET007+16.ax',redefinition_k4_relset_1) ).
fof(dt_k5_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m1_subset_1(k5_relset_1(A,B,C),k1_zfmisc_1(B)) ),
file('SET007+16.ax',dt_k5_relset_1) ).
fof(redefinition_k5_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k5_relset_1(A,B,C) = k2_relat_1(C) ),
file('SET007+16.ax',redefinition_k5_relset_1) ).
fof(dt_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
file('SET007+16.ax',dt_k6_relset_1) ).
fof(involutiveness_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ),
file('SET007+16.ax',involutiveness_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,C) = k4_relat_1(C) ),
file('SET007+16.ax',redefinition_k6_relset_1) ).
fof(dt_k7_relset_1,axiom,
! [A,B,C,D,E,F] :
( ( m1_relset_1(F,C,D)
& m1_relset_1(E,A,B) )
=> m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D) ),
file('SET007+16.ax',dt_k7_relset_1) ).
fof(redefinition_k7_relset_1,axiom,
! [A,B,C,D,E,F] :
( ( m1_relset_1(F,C,D)
& m1_relset_1(E,A,B) )
=> k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ),
file('SET007+16.ax',redefinition_k7_relset_1) ).
fof(dt_k8_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k8_relset_1(A,B,C,D),A,B) ),
file('SET007+16.ax',dt_k8_relset_1) ).
fof(redefinition_k8_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> k8_relset_1(A,B,C,D) = k7_relat_1(C,D) ),
file('SET007+16.ax',redefinition_k8_relset_1) ).
fof(dt_k9_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(D,A,B)
=> m2_relset_1(k9_relset_1(A,B,C,D),A,B) ),
file('SET007+16.ax',dt_k9_relset_1) ).
fof(redefinition_k9_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(D,A,B)
=> k9_relset_1(A,B,C,D) = k8_relat_1(C,D) ),
file('SET007+16.ax',redefinition_k9_relset_1) ).
fof(dt_k10_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)) ),
file('SET007+16.ax',dt_k10_relset_1) ).
fof(redefinition_k10_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> k10_relset_1(A,B,C,D) = k9_relat_1(C,D) ),
file('SET007+16.ax',redefinition_k10_relset_1) ).
fof(dt_k11_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> m1_subset_1(k11_relset_1(A,B,C,D),k1_zfmisc_1(A)) ),
file('SET007+16.ax',dt_k11_relset_1) ).
fof(redefinition_k11_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> k11_relset_1(A,B,C,D) = k10_relat_1(C,D) ),
file('SET007+16.ax',redefinition_k11_relset_1) ).
fof(rc1_funct_2,axiom,
! [A,B] :
? [C] :
( v1_funct_2(C,A,B)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
file('SET007+20.ax',rc1_funct_2) ).
fof(cc1_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v1_partfun1(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('SET007+20.ax',cc1_funct_2) ).
fof(fc1_funct_2,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> ~ v1_xboole_0(k1_funct_2(A,B)) ),
file('SET007+20.ax',fc1_funct_2) ).
fof(fc2_funct_2,axiom,
! [A] : ~ v1_xboole_0(k1_funct_2(A,A)),
file('SET007+20.ax',fc2_funct_2) ).
fof(cc2_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v3_funct_2(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v2_funct_2(C,A,B)
& v1_funct_2(C,A,B)
& v2_funct_1(C)
& v1_funct_1(C) ) ) ),
file('SET007+20.ax',cc2_funct_2) ).
fof(cc3_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v2_funct_2(C,A,B)
& v1_funct_2(C,A,B)
& v2_funct_1(C)
& v1_funct_1(C) )
=> ( v3_funct_2(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('SET007+20.ax',cc3_funct_2) ).
fof(rc2_funct_2,axiom,
! [A] :
? [B] :
( v3_funct_2(B,A,A)
& v2_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,A,A) ),
file('SET007+20.ax',rc2_funct_2) ).
fof(cc4_funct_2,axiom,
! [A,B] :
( m1_relset_1(B,A,A)
=> ( ( v1_funct_2(B,A,A)
& v1_relat_2(B)
& v1_partfun1(B,A,A)
& v1_funct_1(B) )
=> ( v3_funct_2(B,A,A)
& v2_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v2_funct_1(B)
& v1_funct_1(B) ) ) ),
file('SET007+20.ax',cc4_funct_2) ).
fof(cc5_funct_2,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& v1_funct_1(C) ) ) ) ),
file('SET007+20.ax',cc5_funct_2) ).
fof(cc6_funct_2,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& ~ v1_xboole_0(C)
& v1_funct_1(C) ) ) ) ),
file('SET007+20.ax',cc6_funct_2) ).
fof(d1_funct_2,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( ( B = k1_xboole_0
=> ( ( v1_funct_2(C,A,B)
<=> C = k1_xboole_0 )
| A = k1_xboole_0 ) )
& ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> ( v1_funct_2(C,A,B)
<=> A = k4_relset_1(A,B,C) ) ) ) ),
file('SET007+20.ax',d1_funct_2) ).
fof(t1_funct_2,axiom,
$true,
file('SET007+20.ax',t1_funct_2) ).
fof(t2_funct_2,axiom,
$true,
file('SET007+20.ax',t2_funct_2) ).
fof(t3_funct_2,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( m2_relset_1(A,k1_relat_1(A),k2_relat_1(A))
& v1_funct_2(A,k1_relat_1(A),k2_relat_1(A))
& v1_funct_1(A) ) ),
file('SET007+20.ax',t3_funct_2) ).
fof(t4_funct_2,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( r1_tarski(k2_relat_1(B),A)
=> ( m2_relset_1(B,k1_relat_1(B),A)
& v1_funct_2(B,k1_relat_1(B),A)
& v1_funct_1(B) ) ) ),
file('SET007+20.ax',t4_funct_2) ).
fof(t5_funct_2,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( ! [D] :
( r2_hidden(D,A)
=> r2_hidden(k1_funct_1(C,D),B) )
& k1_relat_1(C) = A )
=> ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('SET007+20.ax',t5_funct_2) ).
fof(t6_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r2_hidden(C,A)
=> ( r2_hidden(k1_funct_1(D,C),k2_relat_1(D))
| B = k1_xboole_0 ) ) ),
file('SET007+20.ax',t6_funct_2) ).
fof(t7_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r2_hidden(C,A)
=> ( r2_hidden(k1_funct_1(D,C),B)
| B = k1_xboole_0 ) ) ),
file('SET007+20.ax',t7_funct_2) ).
fof(t8_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_tarski(k2_relat_1(D),C)
=> ( ( m2_relset_1(D,A,C)
& v1_funct_2(D,A,C)
& v1_funct_1(D) )
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t8_funct_2) ).
fof(t9_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_tarski(B,C)
=> ( ( m2_relset_1(D,A,C)
& v1_funct_2(D,A,C)
& v1_funct_1(D) )
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t9_funct_2) ).
fof(d2_funct_2,axiom,
! [A,B,C] :
( C = k1_funct_2(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ? [E] :
( r1_tarski(k2_relat_1(E),B)
& k1_relat_1(E) = A
& D = E
& v1_funct_1(E)
& v1_relat_1(E) ) ) ),
file('SET007+20.ax',d2_funct_2) ).
fof(t10_funct_2,axiom,
$true,
file('SET007+20.ax',t10_funct_2) ).
fof(t11_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> r2_hidden(C,k1_funct_2(A,B)) ) ),
file('SET007+20.ax',t11_funct_2) ).
fof(t12_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> r2_hidden(B,k1_funct_2(A,A)) ),
file('SET007+20.ax',t12_funct_2) ).
fof(t13_funct_2,axiom,
$true,
file('SET007+20.ax',t13_funct_2) ).
fof(t14_funct_2,axiom,
! [A] :
( A != k1_xboole_0
=> k1_funct_2(A,k1_xboole_0) = k1_xboole_0 ),
file('SET007+20.ax',t14_funct_2) ).
fof(t15_funct_2,axiom,
$true,
file('SET007+20.ax',t15_funct_2) ).
fof(t16_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ! [D] :
~ ( ! [E] :
~ ( D = k1_funct_1(C,E)
& r2_hidden(E,A) )
& r2_hidden(D,B) )
=> ( k2_relat_1(C) = B
| B = k1_xboole_0 ) ) ),
file('SET007+20.ax',t16_funct_2) ).
fof(t17_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ~ ( ! [E] :
~ ( k1_funct_1(D,E) = C
& r2_hidden(E,A) )
& k2_relat_1(D) = B
& r2_hidden(C,B) ) ),
file('SET007+20.ax',t17_funct_2) ).
fof(t18_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( ! [E] :
( r2_hidden(E,A)
=> k1_funct_1(C,E) = k1_funct_1(D,E) )
=> C = D ) ) ),
file('SET007+20.ax',t18_funct_2) ).
fof(t19_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E) )
=> ( ~ ( A != k1_xboole_0
& C != k1_xboole_0
& B = k1_xboole_0 )
=> ( m2_relset_1(k1_partfun1(A,B,B,C,D,E),A,C)
& v1_funct_2(k1_partfun1(A,B,B,C,D,E),A,C)
& v1_funct_1(k1_partfun1(A,B,B,C,D,E)) ) ) ) ),
file('SET007+20.ax',t19_funct_2) ).
fof(t20_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E) )
=> ( ( k2_relat_1(E) = C
& k2_relat_1(D) = B )
=> ( k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C
| C = k1_xboole_0
| B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t20_funct_2) ).
fof(t21_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_relat_1(E) )
=> ( r2_hidden(C,A)
=> ( k1_funct_1(k5_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C))
| B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t21_funct_2) ).
fof(t22_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( B != k1_xboole_0
=> ( k2_relat_1(C) = B
<=> ! [D] :
( D != k1_xboole_0
=> ! [E] :
( ( m2_relset_1(E,B,D)
& v1_funct_2(E,B,D)
& v1_funct_1(E) )
=> ! [F] :
( ( m2_relset_1(F,B,D)
& v1_funct_2(F,B,D)
& v1_funct_1(F) )
=> ( k1_partfun1(A,B,B,D,C,E) = k1_partfun1(A,B,B,D,C,F)
=> E = F ) ) ) ) ) ) ),
file('SET007+20.ax',t22_funct_2) ).
fof(t23_funct_2,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C
& k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C ) ),
file('SET007+20.ax',t23_funct_2) ).
fof(t24_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,B,A)
& v1_funct_2(D,B,A)
& v1_funct_1(D) )
=> ( k1_partfun1(B,A,A,B,D,C) = k6_partfun1(B)
=> k2_relat_1(C) = B ) ) ),
file('SET007+20.ax',t24_funct_2) ).
fof(t25_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> ( v2_funct_1(C)
<=> ! [D,E] :
( ( k1_funct_1(C,D) = k1_funct_1(C,E)
& r2_hidden(E,A)
& r2_hidden(D,A) )
=> D = E ) ) ) ),
file('SET007+20.ax',t25_funct_2) ).
fof(t26_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E) )
=> ( v2_funct_1(k1_partfun1(A,B,B,C,D,E))
=> ( v2_funct_1(D)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ( B != k1_xboole_0
& C = k1_xboole_0 ) ) ) ) ),
file('SET007+20.ax',t26_funct_2) ).
fof(t27_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ~ ( ~ ( v2_funct_1(C)
<=> ! [D,E] :
( ( m2_relset_1(E,D,A)
& v1_funct_2(E,D,A)
& v1_funct_1(E) )
=> ! [F] :
( ( m2_relset_1(F,D,A)
& v1_funct_2(F,D,A)
& v1_funct_1(F) )
=> ( k1_partfun1(D,A,A,B,E,C) = k1_partfun1(D,A,A,B,F,C)
=> E = F ) ) ) )
& B != k1_xboole_0
& A != k1_xboole_0 ) ),
file('SET007+20.ax',t27_funct_2) ).
fof(t28_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E) )
=> ( ( v2_funct_1(E)
& k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C )
=> ( k2_relat_1(D) = B
| C = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t28_funct_2) ).
fof(t29_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,B,A)
& v1_funct_2(D,B,A)
& v1_funct_1(D) )
=> ( k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A)
=> ( ( k2_relat_1(D) = A
& v2_funct_1(C) )
| B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t29_funct_2) ).
fof(t30_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E) )
=> ( ( k2_relat_1(D) = B
& v2_funct_1(k1_partfun1(A,B,B,C,D,E)) )
=> ( ( v2_funct_1(E)
& v2_funct_1(D) )
| ( B != k1_xboole_0
& C = k1_xboole_0 ) ) ) ) ),
file('SET007+20.ax',t30_funct_2) ).
fof(t31_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( k2_relat_1(C) = B
& v2_funct_1(C) )
=> ( m2_relset_1(k2_funct_1(C),B,A)
& v1_funct_2(k2_funct_1(C),B,A)
& v1_funct_1(k2_funct_1(C)) ) ) ),
file('SET007+20.ax',t31_funct_2) ).
fof(t32_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( ( r2_hidden(C,A)
& v2_funct_1(D) )
=> ( k1_funct_1(k2_funct_1(D),k1_funct_1(D,C)) = C
| B = k1_xboole_0 ) ) ),
file('SET007+20.ax',t32_funct_2) ).
fof(t33_funct_2,axiom,
$true,
file('SET007+20.ax',t33_funct_2) ).
fof(t34_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,B,A)
& v1_funct_2(D,B,A)
& v1_funct_1(D) )
=> ( ( ! [E,F] :
( ( ( k1_funct_1(C,F) = E
& r2_hidden(F,A) )
=> ( k1_funct_1(D,E) = F
& r2_hidden(E,B) ) )
& ( ( k1_funct_1(D,E) = F
& r2_hidden(E,B) )
=> ( k1_funct_1(C,F) = E
& r2_hidden(F,A) ) ) )
& v2_funct_1(C)
& k2_relat_1(C) = B )
=> ( D = k2_funct_1(C)
| B = k1_xboole_0
| A = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t34_funct_2) ).
fof(t35_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( v2_funct_1(C)
& k2_relat_1(C) = B )
=> ( ( k5_relat_1(k2_funct_1(C),C) = k6_partfun1(B)
& k5_relat_1(C,k2_funct_1(C)) = k6_partfun1(A) )
| B = k1_xboole_0 ) ) ),
file('SET007+20.ax',t35_funct_2) ).
fof(t36_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,B,A)
& v1_funct_2(D,B,A)
& v1_funct_1(D) )
=> ( ( v2_funct_1(C)
& k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A)
& k2_relat_1(C) = B )
=> ( D = k2_funct_1(C)
| B = k1_xboole_0
| A = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t36_funct_2) ).
fof(t37_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ~ ( ~ v2_funct_1(C)
& ? [D] :
( k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A)
& m2_relset_1(D,B,A)
& v1_funct_2(D,B,A)
& v1_funct_1(D) )
& B != k1_xboole_0 ) ),
file('SET007+20.ax',t37_funct_2) ).
fof(t38_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_tarski(C,A)
=> ( ( m2_relset_1(k2_partfun1(A,B,D,C),C,B)
& v1_funct_2(k2_partfun1(A,B,D,C),C,B)
& v1_funct_1(k2_partfun1(A,B,D,C)) )
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t38_funct_2) ).
fof(t39_funct_2,axiom,
$true,
file('SET007+20.ax',t39_funct_2) ).
fof(t40_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_tarski(A,C)
=> k2_partfun1(A,B,D,C) = D ) ),
file('SET007+20.ax',t40_funct_2) ).
fof(t41_funct_2,axiom,
! [A,B,C,D,E] :
( ( m2_relset_1(E,A,B)
& v1_funct_2(E,A,B)
& v1_funct_1(E) )
=> ( ( r2_hidden(k1_funct_1(E,C),D)
& r2_hidden(C,A) )
=> ( k1_funct_1(k9_relset_1(A,B,D,E),C) = k1_funct_1(E,C)
| B = k1_xboole_0 ) ) ),
file('SET007+20.ax',t41_funct_2) ).
fof(t42_funct_2,axiom,
$true,
file('SET007+20.ax',t42_funct_2) ).
fof(t43_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( B != k1_xboole_0
=> ! [E] :
( ? [F] :
( E = k1_funct_1(D,F)
& r2_hidden(F,C)
& r2_hidden(F,A) )
=> r2_hidden(E,k9_relat_1(D,C)) ) ) ),
file('SET007+20.ax',t43_funct_2) ).
fof(t44_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> r1_tarski(k9_relat_1(D,C),B) ),
file('SET007+20.ax',t44_funct_2) ).
fof(t45_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> k2_funct_2(A,B,C,A) = k2_relat_1(C) ) ),
file('SET007+20.ax',t45_funct_2) ).
fof(t46_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( B != k1_xboole_0
=> ! [E] :
( r2_hidden(E,k10_relat_1(D,C))
<=> ( r2_hidden(k1_funct_1(D,E),C)
& r2_hidden(E,A) ) ) ) ),
file('SET007+20.ax',t46_funct_2) ).
fof(t47_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> r1_tarski(k10_relat_1(D,C),A) ),
file('SET007+20.ax',t47_funct_2) ).
fof(t48_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> k3_funct_2(A,B,C,B) = A ) ),
file('SET007+20.ax',t48_funct_2) ).
fof(t49_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ! [D] :
~ ( k3_funct_2(A,B,C,k1_tarski(D)) = k1_xboole_0
& r2_hidden(D,B) )
<=> k2_relat_1(C) = B ) ),
file('SET007+20.ax',t49_funct_2) ).
fof(t50_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_tarski(C,A)
=> ( r1_tarski(C,k3_funct_2(A,B,D,k2_funct_2(A,B,D,C)))
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t50_funct_2) ).
fof(t51_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> k3_funct_2(A,B,C,k2_funct_2(A,B,C,A)) = A ) ),
file('SET007+20.ax',t51_funct_2) ).
fof(t52_funct_2,axiom,
$true,
file('SET007+20.ax',t52_funct_2) ).
fof(t53_funct_2,axiom,
! [A,B,C,D,E] :
( ( m2_relset_1(E,A,B)
& v1_funct_2(E,A,B)
& v1_funct_1(E) )
=> ! [F] :
( ( m2_relset_1(F,B,C)
& v1_funct_2(F,B,C)
& v1_funct_1(F) )
=> ~ ( ~ r1_tarski(k3_funct_2(A,B,E,D),k3_funct_2(A,C,k1_partfun1(A,B,B,C,E,F),k2_funct_2(B,C,F,D)))
& ( B = k1_xboole_0
=> A = k1_xboole_0 )
& ( C = k1_xboole_0
=> B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t53_funct_2) ).
fof(t54_funct_2,axiom,
$true,
file('SET007+20.ax',t54_funct_2) ).
fof(t55_funct_2,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( k1_relat_1(B) = k1_xboole_0
=> ( m2_relset_1(B,k1_xboole_0,A)
& v1_funct_2(B,k1_xboole_0,A)
& v1_funct_1(B) ) ) ),
file('SET007+20.ax',t55_funct_2) ).
fof(t56_funct_2,axiom,
$true,
file('SET007+20.ax',t56_funct_2) ).
fof(t57_funct_2,axiom,
$true,
file('SET007+20.ax',t57_funct_2) ).
fof(t58_funct_2,axiom,
$true,
file('SET007+20.ax',t58_funct_2) ).
fof(t59_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,k1_xboole_0,A)
& v1_funct_2(C,k1_xboole_0,A)
& v1_funct_1(C) )
=> k2_funct_2(k1_xboole_0,A,C,B) = k1_xboole_0 ),
file('SET007+20.ax',t59_funct_2) ).
fof(t60_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,k1_xboole_0,A)
& v1_funct_2(C,k1_xboole_0,A)
& v1_funct_1(C) )
=> k3_funct_2(k1_xboole_0,A,C,B) = k1_xboole_0 ),
file('SET007+20.ax',t60_funct_2) ).
fof(t61_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,k1_tarski(A),B)
& v1_funct_2(C,k1_tarski(A),B)
& v1_funct_1(C) )
=> ( B != k1_xboole_0
=> r2_hidden(k1_funct_1(C,A),B) ) ),
file('SET007+20.ax',t61_funct_2) ).
fof(t62_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,k1_tarski(A),B)
& v1_funct_2(C,k1_tarski(A),B)
& v1_funct_1(C) )
=> ( B != k1_xboole_0
=> k2_relat_1(C) = k1_tarski(k1_funct_1(C,A)) ) ),
file('SET007+20.ax',t62_funct_2) ).
fof(t63_funct_2,axiom,
$true,
file('SET007+20.ax',t63_funct_2) ).
fof(t64_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,k1_tarski(A),B)
& v1_funct_2(D,k1_tarski(A),B)
& v1_funct_1(D) )
=> ( B != k1_xboole_0
=> r1_tarski(k2_funct_2(k1_tarski(A),B,D,C),k1_tarski(k1_funct_1(D,A))) ) ),
file('SET007+20.ax',t64_funct_2) ).
fof(t65_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,k1_tarski(B))
& v1_funct_2(D,A,k1_tarski(B))
& v1_funct_1(D) )
=> ( r2_hidden(C,A)
=> k1_funct_1(D,C) = B ) ),
file('SET007+20.ax',t65_funct_2) ).
fof(t66_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,k1_tarski(B))
& v1_funct_2(C,A,k1_tarski(B))
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,k1_tarski(B))
& v1_funct_2(D,A,k1_tarski(B))
& v1_funct_1(D) )
=> C = D ) ),
file('SET007+20.ax',t66_funct_2) ).
fof(t67_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( r1_tarski(k2_relat_1(B),A)
& k4_relset_1(A,A,B) = A ) ),
file('SET007+20.ax',t67_funct_2) ).
fof(t68_funct_2,axiom,
$true,
file('SET007+20.ax',t68_funct_2) ).
fof(t69_funct_2,axiom,
$true,
file('SET007+20.ax',t69_funct_2) ).
fof(t70_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_relat_1(D) )
=> ( r2_hidden(B,A)
=> k1_funct_1(k5_relat_1(C,D),B) = k1_funct_1(D,k1_funct_1(C,B)) ) ) ),
file('SET007+20.ax',t70_funct_2) ).
fof(t71_funct_2,axiom,
$true,
file('SET007+20.ax',t71_funct_2) ).
fof(t72_funct_2,axiom,
$true,
file('SET007+20.ax',t72_funct_2) ).
fof(t73_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( ( k2_relat_1(C) = A
& k2_relat_1(B) = A )
=> k2_relat_1(k4_funct_2(A,B,C)) = A ) ) ),
file('SET007+20.ax',t73_funct_2) ).
fof(t74_funct_2,axiom,
! [A,B] :
( m2_relset_1(B,A,A)
=> ( k7_relset_1(A,A,A,A,k6_partfun1(A),B) = B
& k7_relset_1(A,A,A,A,B,k6_partfun1(A)) = B ) ),
file('SET007+20.ax',t74_funct_2) ).
fof(t75_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( ( k2_relat_1(B) = A
& k4_funct_2(A,B,C) = B )
=> C = k6_partfun1(A) ) ) ),
file('SET007+20.ax',t75_funct_2) ).
fof(t76_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( ( v2_funct_1(B)
& k4_funct_2(A,C,B) = B )
=> C = k6_partfun1(A) ) ) ),
file('SET007+20.ax',t76_funct_2) ).
fof(t77_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( v2_funct_1(B)
<=> ! [C,D] :
( ( k1_funct_1(B,C) = k1_funct_1(B,D)
& r2_hidden(D,A)
& r2_hidden(C,A) )
=> C = D ) ) ),
file('SET007+20.ax',t77_funct_2) ).
fof(t78_funct_2,axiom,
$true,
file('SET007+20.ax',t78_funct_2) ).
fof(t79_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> k2_funct_2(A,A,B,A) = k2_relat_1(B) ),
file('SET007+20.ax',t79_funct_2) ).
fof(t80_funct_2,axiom,
$true,
file('SET007+20.ax',t80_funct_2) ).
fof(t81_funct_2,axiom,
$true,
file('SET007+20.ax',t81_funct_2) ).
fof(t82_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> k3_funct_2(A,A,B,k2_funct_2(A,A,B,A)) = A ),
file('SET007+20.ax',t82_funct_2) ).
fof(d3_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v2_funct_2(C,A,B)
<=> k2_relat_1(C) = B ) ),
file('SET007+20.ax',d3_funct_2) ).
fof(d4_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v3_funct_2(C,A,B)
<=> ( v2_funct_2(C,A,B)
& v2_funct_1(C) ) ) ),
file('SET007+20.ax',d4_funct_2) ).
fof(t83_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( ( k2_relat_1(B) = A
& v2_funct_1(B) )
=> ( m2_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) ) ) ),
file('SET007+20.ax',t83_funct_2) ).
fof(t84_funct_2,axiom,
$true,
file('SET007+20.ax',t84_funct_2) ).
fof(t85_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( v2_funct_1(B)
=> ! [C,D] :
( ( k1_funct_1(B,C) = k1_funct_1(B,D)
& r2_hidden(D,A)
& r2_hidden(C,A) )
=> C = D ) ) ),
file('SET007+20.ax',t85_funct_2) ).
fof(t86_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v3_funct_2(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( k5_funct_2(A,B,C) = C
=> B = k6_partfun1(A) ) ) ),
file('SET007+20.ax',t86_funct_2) ).
fof(t87_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v3_funct_2(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( k5_funct_2(A,B,C) = k6_partfun1(A)
=> C = k6_funct_2(A,B) ) ) ),
file('SET007+20.ax',t87_funct_2) ).
fof(t88_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( k5_funct_2(A,k6_funct_2(A,B),B) = k6_partfun1(A)
& k5_funct_2(A,B,k6_funct_2(A,B)) = k6_partfun1(A) ) ),
file('SET007+20.ax',t88_funct_2) ).
fof(t89_funct_2,axiom,
$true,
file('SET007+20.ax',t89_funct_2) ).
fof(t90_funct_2,axiom,
$true,
file('SET007+20.ax',t90_funct_2) ).
fof(t91_funct_2,axiom,
$true,
file('SET007+20.ax',t91_funct_2) ).
fof(t92_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,A)
& v3_funct_2(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( r1_tarski(B,A)
=> ( k3_funct_2(A,A,C,k2_funct_2(A,A,C,B)) = B
& k2_funct_2(A,A,C,k3_funct_2(A,A,C,B)) = B ) ) ),
file('SET007+20.ax',t92_funct_2) ).
fof(t93_funct_2,axiom,
$true,
file('SET007+20.ax',t93_funct_2) ).
fof(t94_funct_2,axiom,
$true,
file('SET007+20.ax',t94_funct_2) ).
fof(t95_funct_2,axiom,
$true,
file('SET007+20.ax',t95_funct_2) ).
fof(t96_funct_2,axiom,
$true,
file('SET007+20.ax',t96_funct_2) ).
fof(t97_funct_2,axiom,
$true,
file('SET007+20.ax',t97_funct_2) ).
fof(t98_funct_2,axiom,
$true,
file('SET007+20.ax',t98_funct_2) ).
fof(t99_funct_2,axiom,
$true,
file('SET007+20.ax',t99_funct_2) ).
fof(t100_funct_2,axiom,
$true,
file('SET007+20.ax',t100_funct_2) ).
fof(t101_funct_2,axiom,
$true,
file('SET007+20.ax',t101_funct_2) ).
fof(t102_funct_2,axiom,
$true,
file('SET007+20.ax',t102_funct_2) ).
fof(t103_funct_2,axiom,
$true,
file('SET007+20.ax',t103_funct_2) ).
fof(t104_funct_2,axiom,
$true,
file('SET007+20.ax',t104_funct_2) ).
fof(t105_funct_2,axiom,
$true,
file('SET007+20.ax',t105_funct_2) ).
fof(t106_funct_2,axiom,
$true,
file('SET007+20.ax',t106_funct_2) ).
fof(t107_funct_2,axiom,
$true,
file('SET007+20.ax',t107_funct_2) ).
fof(t108_funct_2,axiom,
$true,
file('SET007+20.ax',t108_funct_2) ).
fof(t109_funct_2,axiom,
$true,
file('SET007+20.ax',t109_funct_2) ).
fof(t110_funct_2,axiom,
$true,
file('SET007+20.ax',t110_funct_2) ).
fof(t111_funct_2,axiom,
$true,
file('SET007+20.ax',t111_funct_2) ).
fof(t112_funct_2,axiom,
$true,
file('SET007+20.ax',t112_funct_2) ).
fof(t113_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( ! [E] :
( m1_subset_1(E,A)
=> k1_funct_1(C,E) = k1_funct_1(D,E) )
=> C = D ) ) ),
file('SET007+20.ax',t113_funct_2) ).
fof(t114_funct_2,axiom,
$true,
file('SET007+20.ax',t114_funct_2) ).
fof(t115_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
~ ( ! [F] :
~ ( E = k1_funct_1(D,F)
& r2_hidden(F,C)
& r2_hidden(F,A) )
& r2_hidden(E,k2_funct_2(A,B,D,C)) ) ),
file('SET007+20.ax',t115_funct_2) ).
fof(t116_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
~ ( ! [F] :
( m1_subset_1(F,A)
=> ~ ( E = k1_funct_1(D,F)
& r2_hidden(F,C) ) )
& r2_hidden(E,k2_funct_2(A,B,D,C)) ) ),
file('SET007+20.ax',t116_funct_2) ).
fof(t117_funct_2,axiom,
$true,
file('SET007+20.ax',t117_funct_2) ).
fof(t118_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,k2_zfmisc_1(A,B),C)
& v1_funct_2(D,k2_zfmisc_1(A,B),C)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,k2_zfmisc_1(A,B),C)
& v1_funct_2(E,k2_zfmisc_1(A,B),C)
& v1_funct_1(E) )
=> ( ! [F,G] :
( ( r2_hidden(G,B)
& r2_hidden(F,A) )
=> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)) )
=> D = E ) ) ),
file('SET007+20.ax',t118_funct_2) ).
fof(t119_funct_2,axiom,
! [A,B,C,D,E,F] :
( ( m2_relset_1(F,k2_zfmisc_1(A,B),C)
& v1_funct_2(F,k2_zfmisc_1(A,B),C)
& v1_funct_1(F) )
=> ( ( r2_hidden(E,B)
& r2_hidden(D,A) )
=> ( r2_hidden(k1_funct_1(F,k4_tarski(D,E)),C)
| C = k1_xboole_0 ) ) ),
file('SET007+20.ax',t119_funct_2) ).
fof(t120_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,k2_zfmisc_1(A,B),C)
& v1_funct_2(D,k2_zfmisc_1(A,B),C)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,k2_zfmisc_1(A,B),C)
& v1_funct_2(E,k2_zfmisc_1(A,B),C)
& v1_funct_1(E) )
=> ( ! [F] :
( m1_subset_1(F,A)
=> ! [G] :
( m1_subset_1(G,B)
=> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)) ) )
=> D = E ) ) ),
file('SET007+20.ax',t120_funct_2) ).
fof(t121_funct_2,axiom,
! [A,B,C] :
( r2_hidden(C,k1_funct_2(A,B))
=> ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) ) ),
file('SET007+20.ax',t121_funct_2) ).
fof(t122_funct_2,axiom,
$true,
file('SET007+20.ax',t122_funct_2) ).
fof(t123_funct_2,axiom,
$true,
file('SET007+20.ax',t123_funct_2) ).
fof(t124_funct_2,axiom,
$true,
file('SET007+20.ax',t124_funct_2) ).
fof(t125_funct_2,axiom,
$true,
file('SET007+20.ax',t125_funct_2) ).
fof(t126_funct_2,axiom,
$true,
file('SET007+20.ax',t126_funct_2) ).
fof(t127_funct_2,axiom,
$true,
file('SET007+20.ax',t127_funct_2) ).
fof(t128_funct_2,axiom,
$true,
file('SET007+20.ax',t128_funct_2) ).
fof(t129_funct_2,axiom,
$true,
file('SET007+20.ax',t129_funct_2) ).
fof(t130_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ( k4_relset_1(A,B,C) = A
=> ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('SET007+20.ax',t130_funct_2) ).
fof(t131_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ( v1_partfun1(C,A,B)
=> ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('SET007+20.ax',t131_funct_2) ).
fof(t132_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_partfun1(C,A,B)
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t132_funct_2) ).
fof(t133_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> v1_partfun1(k3_partfun1(C,A,B),A,B) ) ),
file('SET007+20.ax',t133_funct_2) ).
fof(t134_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> v1_partfun1(k3_partfun1(B,A,A),A,A) ),
file('SET007+20.ax',t134_funct_2) ).
fof(t135_funct_2,axiom,
$true,
file('SET007+20.ax',t135_funct_2) ).
fof(t136_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ~ ( ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ? [E] :
( k1_funct_1(D,E) != k1_funct_1(C,E)
& r2_hidden(E,k4_relset_1(A,B,C)) ) )
& ( B = k1_xboole_0
=> A = k1_xboole_0 ) ) ),
file('SET007+20.ax',t136_funct_2) ).
fof(t137_funct_2,axiom,
$true,
file('SET007+20.ax',t137_funct_2) ).
fof(t138_funct_2,axiom,
$true,
file('SET007+20.ax',t138_funct_2) ).
fof(t139_funct_2,axiom,
$true,
file('SET007+20.ax',t139_funct_2) ).
fof(t140_funct_2,axiom,
$true,
file('SET007+20.ax',t140_funct_2) ).
fof(t141_funct_2,axiom,
! [A,B] : r1_tarski(k1_funct_2(A,B),k4_partfun1(A,B)),
file('SET007+20.ax',t141_funct_2) ).
fof(t142_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_partfun1(C,D)
=> ( C = D
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ) ),
file('SET007+20.ax',t142_funct_2) ).
fof(t143_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( r1_partfun1(B,C)
=> B = C ) ) ),
file('SET007+20.ax',t143_funct_2) ).
fof(t144_funct_2,axiom,
$true,
file('SET007+20.ax',t144_funct_2) ).
fof(t145_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> ( r1_partfun1(C,D)
<=> ! [E] :
( r2_hidden(E,k4_relset_1(A,B,C))
=> k1_funct_1(C,E) = k1_funct_1(D,E) ) ) ) ) ),
file('SET007+20.ax',t145_funct_2) ).
fof(t146_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( r1_partfun1(B,C)
<=> ! [D] :
( r2_hidden(D,k4_relset_1(A,A,B))
=> k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) ),
file('SET007+20.ax',t146_funct_2) ).
fof(t147_funct_2,axiom,
$true,
file('SET007+20.ax',t147_funct_2) ).
fof(t148_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ~ ( ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ~ r1_partfun1(C,D) )
& ( B = k1_xboole_0
=> A = k1_xboole_0 ) ) ),
file('SET007+20.ax',t148_funct_2) ).
fof(t149_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_1(B) )
=> ? [C] :
( r1_partfun1(B,C)
& m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) ) ),
file('SET007+20.ax',t149_funct_2) ).
fof(t150_funct_2,axiom,
$true,
file('SET007+20.ax',t150_funct_2) ).
fof(t151_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( ( m2_relset_1(E,A,B)
& v1_funct_2(E,A,B)
& v1_funct_1(E) )
=> ( ( r1_partfun1(D,E)
& r1_partfun1(C,E) )
=> ( r1_partfun1(C,D)
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ) ) ),
file('SET007+20.ax',t151_funct_2) ).
fof(t152_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,A)
& v1_funct_2(D,A,A)
& v1_funct_1(D) )
=> ( ( r1_partfun1(C,D)
& r1_partfun1(B,D) )
=> r1_partfun1(B,C) ) ) ) ),
file('SET007+20.ax',t152_funct_2) ).
fof(t153_funct_2,axiom,
$true,
file('SET007+20.ax',t153_funct_2) ).
fof(t154_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> ~ ( ! [E] :
( ( m2_relset_1(E,A,B)
& v1_funct_2(E,A,B)
& v1_funct_1(E) )
=> ~ ( r1_partfun1(D,E)
& r1_partfun1(C,E) ) )
& r1_partfun1(C,D)
& ( B = k1_xboole_0
=> A = k1_xboole_0 ) ) ) ),
file('SET007+20.ax',t154_funct_2) ).
fof(t155_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ( r1_partfun1(C,D)
=> ( r2_hidden(D,k5_partfun1(A,B,C))
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) ) ) ),
file('SET007+20.ax',t155_funct_2) ).
fof(t156_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_1(B) )
=> ! [C] :
( ( m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
=> ( r1_partfun1(B,C)
=> r2_hidden(C,k5_partfun1(A,A,B)) ) ) ),
file('SET007+20.ax',t156_funct_2) ).
fof(t157_funct_2,axiom,
$true,
file('SET007+20.ax',t157_funct_2) ).
fof(t158_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( r2_hidden(D,k5_partfun1(A,B,C))
=> ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) ) ) ),
file('SET007+20.ax',t158_funct_2) ).
fof(t159_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> r1_tarski(k5_partfun1(A,B,C),k1_funct_2(A,B)) ),
file('SET007+20.ax',t159_funct_2) ).
fof(t160_funct_2,axiom,
! [A,B] : k5_partfun1(A,B,k3_partfun1(k1_xboole_0,A,B)) = k1_funct_2(A,B),
file('SET007+20.ax',t160_funct_2) ).
fof(t161_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( ( B = k1_xboole_0
=> A = k1_xboole_0 )
=> k5_partfun1(A,B,k3_partfun1(C,A,B)) = k1_tarski(C) ) ),
file('SET007+20.ax',t161_funct_2) ).
fof(t162_funct_2,axiom,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> k5_partfun1(A,A,k3_partfun1(B,A,A)) = k1_tarski(B) ),
file('SET007+20.ax',t162_funct_2) ).
fof(t163_funct_2,axiom,
$true,
file('SET007+20.ax',t163_funct_2) ).
fof(t164_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,k1_tarski(B))
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,k1_tarski(B))
& v1_funct_2(D,A,k1_tarski(B))
& v1_funct_1(D) )
=> k5_partfun1(A,k1_tarski(B),C) = k1_tarski(D) ) ),
file('SET007+20.ax',t164_funct_2) ).
fof(t165_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> ( r1_tarski(D,C)
=> r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) ) ) ),
file('SET007+20.ax',t165_funct_2) ).
fof(t166_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> ( ( r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D))
& r1_tarski(k4_relset_1(A,B,D),k4_relset_1(A,B,C)) )
=> r1_tarski(D,C) ) ) ),
file('SET007+20.ax',t166_funct_2) ).
fof(t167_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> ( ( ! [E] : B != k1_tarski(E)
& r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) )
=> r1_tarski(D,C) ) ) ),
file('SET007+20.ax',t167_funct_2) ).
fof(t168_funct_2,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_1(D) )
=> ( ( k5_partfun1(A,B,C) = k5_partfun1(A,B,D)
& ! [E] : B != k1_tarski(E) )
=> C = D ) ) ),
file('SET007+20.ax',t168_funct_2) ).
fof(d5_funct_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
& v1_funct_2(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
& v1_funct_1(D) )
=> D = k9_funct_2(A,B,C) ),
file('SET007+20.ax',d5_funct_2) ).
fof(t169_funct_2,axiom,
! [A,B,C] :
( ( v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(C,k1_funct_2(A,B))
=> ( r1_tarski(k2_relat_1(C),B)
& k1_relat_1(C) = A ) ) ),
file('SET007+20.ax',t169_funct_2) ).
fof(s1_funct_2,axiom,
( ! [A] :
~ ( ! [B] :
~ ( p1_s1_funct_2(A,B)
& r2_hidden(B,f2_s1_funct_2) )
& r2_hidden(A,f1_s1_funct_2) )
=> ? [A] :
( ! [B] :
( r2_hidden(B,f1_s1_funct_2)
=> p1_s1_funct_2(B,k1_funct_1(A,B)) )
& m2_relset_1(A,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_2(A,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s1_funct_2) ).
fof(s2_funct_2,axiom,
( ! [A] :
( r2_hidden(A,f1_s2_funct_2)
=> r2_hidden(f3_s2_funct_2(A),f2_s2_funct_2) )
=> ? [A] :
( ! [B] :
( r2_hidden(B,f1_s2_funct_2)
=> k1_funct_1(A,B) = f3_s2_funct_2(B) )
& m2_relset_1(A,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_2(A,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s2_funct_2) ).
fof(s3_funct_2,axiom,
( ! [A] :
( m1_subset_1(A,f1_s3_funct_2)
=> ? [B] :
( p1_s3_funct_2(A,B)
& m1_subset_1(B,f2_s3_funct_2) ) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s3_funct_2)
=> p1_s3_funct_2(B,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,A,B)) )
& m2_relset_1(A,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_2(A,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s3_funct_2) ).
fof(s4_funct_2,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s4_funct_2)
=> k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,A,B) = f3_s4_funct_2(B) )
& m2_relset_1(A,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_2(A,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_1(A) ),
file('SET007+20.ax',s4_funct_2) ).
fof(s5_funct_2,axiom,
( ! [A,B] :
~ ( ! [C] :
~ ( p1_s5_funct_2(A,B,C)
& r2_hidden(C,f3_s5_funct_2) )
& r2_hidden(B,f2_s5_funct_2)
& r2_hidden(A,f1_s5_funct_2) )
=> ? [A] :
( ! [B,C] :
( ( r2_hidden(C,f2_s5_funct_2)
& r2_hidden(B,f1_s5_funct_2) )
=> p1_s5_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C))) )
& m2_relset_1(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s5_funct_2) ).
fof(s6_funct_2,axiom,
( ! [A,B] :
( ( r2_hidden(B,f2_s6_funct_2)
& r2_hidden(A,f1_s6_funct_2) )
=> r2_hidden(f4_s6_funct_2(A,B),f3_s6_funct_2) )
=> ? [A] :
( ! [B,C] :
( ( r2_hidden(C,f2_s6_funct_2)
& r2_hidden(B,f1_s6_funct_2) )
=> k1_funct_1(A,k4_tarski(B,C)) = f4_s6_funct_2(B,C) )
& m2_relset_1(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s6_funct_2) ).
fof(s7_funct_2,axiom,
( ! [A] :
( m1_subset_1(A,f1_s7_funct_2)
=> ! [B] :
( m1_subset_1(B,f2_s7_funct_2)
=> ? [C] :
( p1_s7_funct_2(A,B,C)
& m1_subset_1(C,f3_s7_funct_2) ) ) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s7_funct_2)
=> ! [C] :
( m1_subset_1(C,f2_s7_funct_2)
=> p1_s7_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C))) ) )
& m2_relset_1(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s7_funct_2) ).
fof(s8_funct_2,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s8_funct_2)
=> ! [C] :
( m1_subset_1(C,f2_s8_funct_2)
=> k1_funct_1(A,k4_tarski(B,C)) = f4_s8_funct_2(B,C) ) )
& m2_relset_1(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_1(A) ),
file('SET007+20.ax',s8_funct_2) ).
fof(s9_funct_2,axiom,
( ! [A] :
( r2_hidden(A,f1_s9_funct_2)
=> ( ( ~ p1_s9_funct_2(A)
=> r2_hidden(f4_s9_funct_2(A),f2_s9_funct_2) )
& ( p1_s9_funct_2(A)
=> r2_hidden(f3_s9_funct_2(A),f2_s9_funct_2) ) ) )
=> ? [A] :
( ! [B] :
( r2_hidden(B,f1_s9_funct_2)
=> ( ( ~ p1_s9_funct_2(B)
=> k1_funct_1(A,B) = f4_s9_funct_2(B) )
& ( p1_s9_funct_2(B)
=> k1_funct_1(A,B) = f3_s9_funct_2(B) ) ) )
& m2_relset_1(A,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_2(A,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s9_funct_2) ).
fof(s10_funct_2,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s10_funct_2)
=> ( B != f3_s10_funct_2
=> k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,B) = f5_s10_funct_2(B) ) )
& k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,f3_s10_funct_2) = f4_s10_funct_2
& m2_relset_1(A,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_2(A,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_1(A) ),
file('SET007+20.ax',s10_funct_2) ).
fof(s11_funct_2,axiom,
( f3_s11_funct_2 != f4_s11_funct_2
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s11_funct_2)
=> ~ ( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,B) != f7_s11_funct_2(B)
& B != f4_s11_funct_2
& B != f3_s11_funct_2 ) )
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f4_s11_funct_2) = f6_s11_funct_2
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f3_s11_funct_2) = f5_s11_funct_2
& m2_relset_1(A,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_2(A,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s11_funct_2) ).
fof(s12_funct_2,axiom,
( ! [A] :
( m1_subset_1(A,f1_s12_funct_2)
=> r2_hidden(f3_s12_funct_2(A),f2_s12_funct_2) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s12_funct_2)
=> k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,A,B) = f3_s12_funct_2(B) )
& m2_relset_1(A,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_2(A,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s12_funct_2) ).
fof(s13_funct_2,axiom,
( ! [A] :
( m1_subset_1(A,f1_s13_funct_2)
=> m1_subset_1(f3_s13_funct_2(A),f2_s13_funct_2) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s13_funct_2)
=> k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,A,B) = f3_s13_funct_2(B) )
& m2_relset_1(A,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_2(A,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s13_funct_2) ).
fof(s14_funct_2,axiom,
( ! [A] :
( m1_subset_1(A,f1_s14_funct_2)
=> ? [B] :
( p1_s14_funct_2(A,B)
& m1_subset_1(B,f2_s14_funct_2) ) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s14_funct_2)
=> p1_s14_funct_2(B,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,A,B)) )
& m2_relset_1(A,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_2(A,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_1(A) ) ),
file('SET007+20.ax',s14_funct_2) ).
fof(dt_k1_funct_2,axiom,
$true,
file('SET007+20.ax',dt_k1_funct_2) ).
fof(dt_k2_funct_2,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)) ),
file('SET007+20.ax',dt_k2_funct_2) ).
fof(redefinition_k2_funct_2,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ),
file('SET007+20.ax',redefinition_k2_funct_2) ).
fof(dt_k3_funct_2,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,A,B)
& v1_funct_1(C) )
=> m1_subset_1(k3_funct_2(A,B,C,D),k1_zfmisc_1(A)) ),
file('SET007+20.ax',dt_k3_funct_2) ).
fof(redefinition_k3_funct_2,axiom,
! [A,B,C,D] :
( ( m1_relset_1(C,A,B)
& v1_funct_1(C) )
=> k3_funct_2(A,B,C,D) = k10_relat_1(C,D) ),
file('SET007+20.ax',redefinition_k3_funct_2) ).
fof(dt_k4_funct_2,axiom,
! [A,B,C] :
( ( m1_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C)
& m1_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( m2_relset_1(k4_funct_2(A,B,C),A,A)
& v1_funct_2(k4_funct_2(A,B,C),A,A)
& v1_funct_1(k4_funct_2(A,B,C)) ) ),
file('SET007+20.ax',dt_k4_funct_2) ).
fof(redefinition_k4_funct_2,axiom,
! [A,B,C] :
( ( m1_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C)
& m1_relset_1(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> k4_funct_2(A,B,C) = k5_relat_1(B,C) ),
file('SET007+20.ax',redefinition_k4_funct_2) ).
fof(dt_k5_funct_2,axiom,
! [A,B,C] :
( ( m1_relset_1(C,A,A)
& v3_funct_2(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C)
& m1_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( m2_relset_1(k5_funct_2(A,B,C),A,A)
& v3_funct_2(k5_funct_2(A,B,C),A,A)
& v1_funct_2(k5_funct_2(A,B,C),A,A)
& v1_funct_1(k5_funct_2(A,B,C)) ) ),
file('SET007+20.ax',dt_k5_funct_2) ).
fof(redefinition_k5_funct_2,axiom,
! [A,B,C] :
( ( m1_relset_1(C,A,A)
& v3_funct_2(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C)
& m1_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> k5_funct_2(A,B,C) = k5_relat_1(B,C) ),
file('SET007+20.ax',redefinition_k5_funct_2) ).
fof(dt_k6_funct_2,axiom,
! [A,B] :
( ( m1_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> ( m2_relset_1(k6_funct_2(A,B),A,A)
& v3_funct_2(k6_funct_2(A,B),A,A)
& v1_funct_2(k6_funct_2(A,B),A,A)
& v1_funct_1(k6_funct_2(A,B)) ) ),
file('SET007+20.ax',dt_k6_funct_2) ).
fof(redefinition_k6_funct_2,axiom,
! [A,B] :
( ( m1_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
=> k6_funct_2(A,B) = k2_funct_1(B) ),
file('SET007+20.ax',redefinition_k6_funct_2) ).
fof(dt_k7_funct_2,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E)
& m1_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D)
& ~ v1_xboole_0(B) )
=> ( m2_relset_1(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_1(k7_funct_2(A,B,C,D,E)) ) ),
file('SET007+20.ax',dt_k7_funct_2) ).
fof(redefinition_k7_funct_2,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E)
& m1_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D)
& ~ v1_xboole_0(B) )
=> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ),
file('SET007+20.ax',redefinition_k7_funct_2) ).
fof(dt_k8_funct_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,A)
& m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C)
& ~ v1_xboole_0(A) )
=> m1_subset_1(k8_funct_2(A,B,C,D),B) ),
file('SET007+20.ax',dt_k8_funct_2) ).
fof(redefinition_k8_funct_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,A)
& m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C)
& ~ v1_xboole_0(A) )
=> k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ),
file('SET007+20.ax',redefinition_k8_funct_2) ).
fof(dt_k9_funct_2,axiom,
! [A,B,C] :
( m2_relset_1(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
& v1_funct_2(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
& v1_funct_1(k9_funct_2(A,B,C)) ),
file('SET007+20.ax',dt_k9_funct_2) ).
fof(fc1_ordinal2,axiom,
( ~ v1_xboole_0(k5_ordinal2)
& v3_ordinal1(k5_ordinal2)
& v2_ordinal1(k5_ordinal2)
& v1_ordinal1(k5_ordinal2) ),
file('SET007+26.ax',fc1_ordinal2) ).
fof(rc1_ordinal2,axiom,
? [A] :
( v4_ordinal1(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ),
file('SET007+26.ax',rc1_ordinal2) ).
fof(rc2_ordinal2,axiom,
? [A] :
( v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+26.ax',rc2_ordinal2) ).
fof(cc1_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( m1_ordinal1(B,A)
=> v1_ordinal2(B) ) ),
file('SET007+26.ax',cc1_ordinal2) ).
fof(fc2_ordinal2,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_ordinal2(k7_relat_1(A,B))
& v1_funct_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) ) ),
file('SET007+26.ax',fc2_ordinal2) ).
fof(fc3_ordinal2,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v3_ordinal1(k1_funct_1(A,B))
& v2_ordinal1(k1_funct_1(A,B))
& v1_ordinal1(k1_funct_1(A,B)) ) ),
file('SET007+26.ax',fc3_ordinal2) ).
fof(fc4_ordinal2,axiom,
! [A,B] :
( v3_ordinal1(B)
=> ( v1_ordinal2(k2_funcop_1(A,B))
& v1_funct_1(k2_funcop_1(A,B))
& v1_relat_1(k2_funcop_1(A,B)) ) ),
file('SET007+26.ax',fc4_ordinal2) ).
fof(t1_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r1_ordinal1(A,B)
<=> r1_ordinal1(k1_ordinal1(A),k1_ordinal1(B)) ) ) ),
file('SET007+26.ax',t1_ordinal2) ).
fof(t2_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k3_tarski(k1_ordinal1(A)) = A ),
file('SET007+26.ax',t2_ordinal2) ).
fof(t3_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)) ),
file('SET007+26.ax',t3_ordinal2) ).
fof(t4_ordinal2,axiom,
v4_ordinal1(k1_xboole_0),
file('SET007+26.ax',t4_ordinal2) ).
fof(t5_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> r1_ordinal1(k3_tarski(A),A) ),
file('SET007+26.ax',t5_ordinal2) ).
fof(d1_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k1_ordinal2(A) = k1_funct_1(A,k3_tarski(k1_relat_1(A))) ),
file('SET007+26.ax',d1_ordinal2) ).
fof(t6_ordinal2,axiom,
$true,
file('SET007+26.ax',t6_ordinal2) ).
fof(t7_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( k1_relat_1(B) = k1_ordinal1(A)
=> k1_ordinal2(B) = k1_funct_1(B,A) ) ) ),
file('SET007+26.ax',t7_ordinal2) ).
fof(d2_ordinal2,axiom,
! [A,B] :
( B = k2_ordinal2(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ( v3_ordinal1(C)
& r2_hidden(C,A) ) ) ),
file('SET007+26.ax',d2_ordinal2) ).
fof(d3_ordinal2,axiom,
! [A,B] :
( B = k3_ordinal2(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ( ? [D] :
( v4_ordinal1(D)
& C = D
& v3_ordinal1(D) )
& r2_hidden(C,A) ) ) ),
file('SET007+26.ax',d3_ordinal2) ).
fof(t8_ordinal2,axiom,
$true,
file('SET007+26.ax',t8_ordinal2) ).
fof(t9_ordinal2,axiom,
! [A] : r1_tarski(k2_ordinal2(A),A),
file('SET007+26.ax',t9_ordinal2) ).
fof(t10_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k2_ordinal2(A) = A ),
file('SET007+26.ax',t10_ordinal2) ).
fof(t11_ordinal2,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_tarski(k2_ordinal2(A),k2_ordinal2(B)) ),
file('SET007+26.ax',t11_ordinal2) ).
fof(t12_ordinal2,axiom,
$true,
file('SET007+26.ax',t12_ordinal2) ).
fof(t13_ordinal2,axiom,
! [A] : r1_tarski(k3_ordinal2(A),A),
file('SET007+26.ax',t13_ordinal2) ).
fof(t14_ordinal2,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_tarski(k3_ordinal2(A),k3_ordinal2(B)) ),
file('SET007+26.ax',t14_ordinal2) ).
fof(t15_ordinal2,axiom,
! [A] : r1_tarski(k3_ordinal2(A),k2_ordinal2(A)),
file('SET007+26.ax',t15_ordinal2) ).
fof(t16_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ? [B] :
( v4_ordinal1(B)
& r2_hidden(A,B)
& v3_ordinal1(B) ) ),
file('SET007+26.ax',t16_ordinal2) ).
fof(t17_ordinal2,axiom,
! [A] :
( ! [B] :
( r2_hidden(B,A)
=> v3_ordinal1(B) )
=> v3_ordinal1(k1_setfam_1(A)) ),
file('SET007+26.ax',t17_ordinal2) ).
fof(d4_ordinal2,axiom,
k4_ordinal2 = k1_ordinal1(k1_xboole_0),
file('SET007+26.ax',d4_ordinal2) ).
fof(d5_ordinal2,axiom,
! [A] :
( A = k5_ordinal2
<=> ( ! [B] :
( v3_ordinal1(B)
=> ( ( v4_ordinal1(B)
& r2_hidden(k1_xboole_0,B) )
=> r1_tarski(A,B) ) )
& v3_ordinal1(A)
& v4_ordinal1(A)
& r2_hidden(k1_xboole_0,A) ) ),
file('SET007+26.ax',d5_ordinal2) ).
fof(d6_ordinal2,axiom,
! [A] : k6_ordinal2(A) = k1_setfam_1(k2_ordinal2(A)),
file('SET007+26.ax',d6_ordinal2) ).
fof(d7_ordinal2,axiom,
! [A,B] :
( v3_ordinal1(B)
=> ( B = k7_ordinal2(A)
<=> ( ! [C] :
( v3_ordinal1(C)
=> ( r1_tarski(k2_ordinal2(A),C)
=> r1_ordinal1(B,C) ) )
& r1_tarski(k2_ordinal2(A),B) ) ) ),
file('SET007+26.ax',d7_ordinal2) ).
fof(t18_ordinal2,axiom,
$true,
file('SET007+26.ax',t18_ordinal2) ).
fof(t19_ordinal2,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ( ( v4_ordinal1(A)
& r2_hidden(k1_xboole_0,A) )
=> r1_ordinal1(k5_ordinal2,A) ) )
& v4_ordinal1(k5_ordinal2)
& r2_hidden(k1_xboole_0,k5_ordinal2) ),
file('SET007+26.ax',t19_ordinal2) ).
fof(t20_ordinal2,axiom,
$true,
file('SET007+26.ax',t20_ordinal2) ).
fof(t21_ordinal2,axiom,
$true,
file('SET007+26.ax',t21_ordinal2) ).
fof(t22_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( r2_hidden(A,B)
=> r1_ordinal1(k6_ordinal2(B),A) ) ),
file('SET007+26.ax',t22_ordinal2) ).
fof(t23_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(C,B)
=> r1_ordinal1(A,C) ) )
=> ( r1_ordinal1(A,k6_ordinal2(B))
| k2_ordinal2(B) = k1_xboole_0 ) ) ),
file('SET007+26.ax',t23_ordinal2) ).
fof(t24_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B,C] :
( ( r1_tarski(B,C)
& r2_hidden(A,B) )
=> r1_ordinal1(k6_ordinal2(C),k6_ordinal2(B)) ) ),
file('SET007+26.ax',t24_ordinal2) ).
fof(t25_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( r2_hidden(A,B)
=> r2_hidden(k6_ordinal2(B),B) ) ),
file('SET007+26.ax',t25_ordinal2) ).
fof(t26_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k7_ordinal2(A) = A ),
file('SET007+26.ax',t26_ordinal2) ).
fof(t27_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( r2_hidden(A,B)
=> r2_hidden(A,k7_ordinal2(B)) ) ),
file('SET007+26.ax',t27_ordinal2) ).
fof(t28_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(C,B)
=> r2_hidden(C,A) ) )
=> r1_ordinal1(k7_ordinal2(B),A) ) ),
file('SET007+26.ax',t28_ordinal2) ).
fof(t29_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
~ ( ! [C] :
( v3_ordinal1(C)
=> ~ ( r1_ordinal1(A,C)
& r2_hidden(C,B) ) )
& r2_hidden(A,k7_ordinal2(B)) ) ),
file('SET007+26.ax',t29_ordinal2) ).
fof(t30_ordinal2,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_ordinal1(k7_ordinal2(A),k7_ordinal2(B)) ),
file('SET007+26.ax',t30_ordinal2) ).
fof(t31_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k7_ordinal2(k1_tarski(A)) = k1_ordinal1(A) ),
file('SET007+26.ax',t31_ordinal2) ).
fof(t32_ordinal2,axiom,
! [A] : r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A)),
file('SET007+26.ax',t32_ordinal2) ).
fof(d8_ordinal2,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_ordinal2(A)
<=> ? [B] :
( r1_tarski(k2_relat_1(A),B)
& v3_ordinal1(B) ) ) ),
file('SET007+26.ax',d8_ordinal2) ).
fof(t33_ordinal2,axiom,
$true,
file('SET007+26.ax',t33_ordinal2) ).
fof(t34_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ( v1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( r2_hidden(A,k1_relat_1(B))
=> v3_ordinal1(k1_funct_1(B,A)) ) ) ),
file('SET007+26.ax',t34_ordinal2) ).
fof(d9_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)) ),
file('SET007+26.ax',d9_ordinal2) ).
fof(d10_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A)) ),
file('SET007+26.ax',d10_ordinal2) ).
fof(t35_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A))
& k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)) ) ),
file('SET007+26.ax',t35_ordinal2) ).
fof(d11_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( v3_ordinal1(B)
=> ( B = k10_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,k1_relat_1(A))
=> k1_funct_1(C,D) = k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D)))) ) )
& k1_relat_1(C) = k1_relat_1(A)
& B = k9_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) ),
file('SET007+26.ax',d11_ordinal2) ).
fof(d12_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( v3_ordinal1(B)
=> ( B = k11_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,k1_relat_1(A))
=> k1_funct_1(C,D) = k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D)))) ) )
& k1_relat_1(C) = k1_relat_1(A)
& B = k8_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) ),
file('SET007+26.ax',d12_ordinal2) ).
fof(d13_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ( v1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( A != k1_xboole_0
=> ( r1_ordinal2(A,B)
<=> ! [C] :
( v3_ordinal1(C)
=> ! [D] :
( v3_ordinal1(D)
=> ~ ( ! [E] :
( v3_ordinal1(E)
=> ~ ( ! [F] :
( v3_ordinal1(F)
=> ( ( r2_hidden(F,k1_relat_1(B))
& r1_ordinal1(E,F) )
=> ( r2_hidden(k1_funct_1(B,F),D)
& r2_hidden(C,k1_funct_1(B,F)) ) ) )
& r2_hidden(E,k1_relat_1(B)) ) )
& r2_hidden(A,D)
& r2_hidden(C,A) ) ) ) ) )
& ( A = k1_xboole_0
=> ( r1_ordinal2(A,B)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( r2_hidden(D,k1_relat_1(B))
& r1_ordinal1(C,D) )
=> k1_funct_1(B,D) = k1_xboole_0 ) )
& r2_hidden(C,k1_relat_1(B))
& v3_ordinal1(C) ) ) ) ) ) ),
file('SET007+26.ax',d13_ordinal2) ).
fof(d14_ordinal2,axiom,
! [A] :
( ( v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( ? [B] :
( r1_ordinal2(B,A)
& v3_ordinal1(B) )
=> ! [B] :
( v3_ordinal1(B)
=> ( B = k12_ordinal2(A)
<=> r1_ordinal2(B,A) ) ) ) ),
file('SET007+26.ax',d14_ordinal2) ).
fof(d15_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( ( v1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> k13_ordinal2(A,B) = k12_ordinal2(k2_ordinal1(B,A)) ) ),
file('SET007+26.ax',d15_ordinal2) ).
fof(d16_ordinal2,axiom,
! [A] :
( ( v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_ordinal2(A)
<=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( ( r2_hidden(C,k1_relat_1(A))
& r2_hidden(B,C) )
=> r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ),
file('SET007+26.ax',d16_ordinal2) ).
fof(d17_ordinal2,axiom,
! [A] :
( ( v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v3_ordinal2(A)
<=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( ( C = k1_funct_1(A,B)
& v4_ordinal1(B)
& r2_hidden(B,k1_relat_1(A)) )
=> ( r1_ordinal2(C,k2_ordinal1(A,B))
| B = k1_xboole_0 ) ) ) ) ) ),
file('SET007+26.ax',d17_ordinal2) ).
fof(d18_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( C = k14_ordinal2(A,B)
<=> ? [D] :
( ! [E] :
( v3_ordinal1(E)
=> ( ( v4_ordinal1(E)
& r2_hidden(E,k1_ordinal1(B)) )
=> ( k1_funct_1(D,E) = k8_ordinal2(k2_ordinal1(D,E))
| E = k1_xboole_0 ) ) )
& ! [E] :
( v3_ordinal1(E)
=> ( r2_hidden(k1_ordinal1(E),k1_ordinal1(B))
=> k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E)) ) )
& k1_funct_1(D,k1_xboole_0) = A
& k1_relat_1(D) = k1_ordinal1(B)
& C = k1_ordinal2(D)
& v1_ordinal2(D)
& v5_ordinal1(D)
& v1_funct_1(D)
& v1_relat_1(D) ) ) ) ) ),
file('SET007+26.ax',d18_ordinal2) ).
fof(d19_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( C = k15_ordinal2(A,B)
<=> ? [D] :
( ! [E] :
( v3_ordinal1(E)
=> ( ( v4_ordinal1(E)
& r2_hidden(E,k1_ordinal1(A)) )
=> ( k1_funct_1(D,E) = k3_tarski(k8_ordinal2(k2_ordinal1(D,E)))
| E = k1_xboole_0 ) ) )
& ! [E] :
( v3_ordinal1(E)
=> ( r2_hidden(k1_ordinal1(E),k1_ordinal1(A))
=> k1_funct_1(D,k1_ordinal1(E)) = k14_ordinal2(k1_funct_1(D,E),B) ) )
& k1_funct_1(D,k1_xboole_0) = k1_xboole_0
& k1_relat_1(D) = k1_ordinal1(A)
& C = k1_ordinal2(D)
& v1_ordinal2(D)
& v5_ordinal1(D)
& v1_funct_1(D)
& v1_relat_1(D) ) ) ) ) ),
file('SET007+26.ax',d19_ordinal2) ).
fof(d20_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( C = k16_ordinal2(A,B)
<=> ? [D] :
( ! [E] :
( v3_ordinal1(E)
=> ( ( v4_ordinal1(E)
& r2_hidden(E,k1_ordinal1(B)) )
=> ( k1_funct_1(D,E) = k12_ordinal2(k2_ordinal1(D,E))
| E = k1_xboole_0 ) ) )
& ! [E] :
( v3_ordinal1(E)
=> ( r2_hidden(k1_ordinal1(E),k1_ordinal1(B))
=> k1_funct_1(D,k1_ordinal1(E)) = k15_ordinal2(A,k1_funct_1(D,E)) ) )
& k1_funct_1(D,k1_xboole_0) = k4_ordinal2
& k1_relat_1(D) = k1_ordinal1(B)
& C = k1_ordinal2(D)
& v1_ordinal2(D)
& v5_ordinal1(D)
& v1_funct_1(D)
& v1_relat_1(D) ) ) ) ) ),
file('SET007+26.ax',d20_ordinal2) ).
fof(t36_ordinal2,axiom,
$true,
file('SET007+26.ax',t36_ordinal2) ).
fof(t37_ordinal2,axiom,
$true,
file('SET007+26.ax',t37_ordinal2) ).
fof(t38_ordinal2,axiom,
$true,
file('SET007+26.ax',t38_ordinal2) ).
fof(t39_ordinal2,axiom,
$true,
file('SET007+26.ax',t39_ordinal2) ).
fof(t40_ordinal2,axiom,
$true,
file('SET007+26.ax',t40_ordinal2) ).
fof(t41_ordinal2,axiom,
$true,
file('SET007+26.ax',t41_ordinal2) ).
fof(t42_ordinal2,axiom,
$true,
file('SET007+26.ax',t42_ordinal2) ).
fof(t43_ordinal2,axiom,
$true,
file('SET007+26.ax',t43_ordinal2) ).
fof(t44_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k14_ordinal2(A,k1_xboole_0) = A ),
file('SET007+26.ax',t44_ordinal2) ).
fof(t45_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> k14_ordinal2(A,k1_ordinal1(B)) = k1_ordinal1(k14_ordinal2(A,B)) ) ),
file('SET007+26.ax',t45_ordinal2) ).
fof(t46_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( v4_ordinal1(A)
=> ( ! [C] :
( ( v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,A)
=> k1_funct_1(C,D) = k14_ordinal2(B,D) ) )
& k1_relat_1(C) = A )
=> k14_ordinal2(B,A) = k8_ordinal2(C) ) )
| A = k1_xboole_0 ) ) ) ),
file('SET007+26.ax',t46_ordinal2) ).
fof(t47_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k14_ordinal2(k1_xboole_0,A) = A ),
file('SET007+26.ax',t47_ordinal2) ).
fof(t48_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A) ),
file('SET007+26.ax',t48_ordinal2) ).
fof(t49_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(A,B)
=> r2_hidden(k14_ordinal2(C,A),k14_ordinal2(C,B)) ) ) ) ),
file('SET007+26.ax',t49_ordinal2) ).
fof(t50_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( r1_ordinal1(A,B)
=> r1_ordinal1(k14_ordinal2(C,A),k14_ordinal2(C,B)) ) ) ) ),
file('SET007+26.ax',t50_ordinal2) ).
fof(t51_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( r1_ordinal1(A,B)
=> r1_ordinal1(k14_ordinal2(A,C),k14_ordinal2(B,C)) ) ) ) ),
file('SET007+26.ax',t51_ordinal2) ).
fof(t52_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k15_ordinal2(k1_xboole_0,A) = k1_xboole_0 ),
file('SET007+26.ax',t52_ordinal2) ).
fof(t53_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> k15_ordinal2(k1_ordinal1(A),B) = k14_ordinal2(k15_ordinal2(A,B),B) ) ),
file('SET007+26.ax',t53_ordinal2) ).
fof(t54_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( v4_ordinal1(A)
=> ( ! [C] :
( ( v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,A)
=> k1_funct_1(C,D) = k15_ordinal2(D,B) ) )
& k1_relat_1(C) = A )
=> k15_ordinal2(A,B) = k3_tarski(k8_ordinal2(C)) ) )
| A = k1_xboole_0 ) ) ) ),
file('SET007+26.ax',t54_ordinal2) ).
fof(t55_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k15_ordinal2(A,k1_xboole_0) = k1_xboole_0 ),
file('SET007+26.ax',t55_ordinal2) ).
fof(t56_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ( k15_ordinal2(A,k4_ordinal2) = A
& k15_ordinal2(k4_ordinal2,A) = A ) ),
file('SET007+26.ax',t56_ordinal2) ).
fof(t57_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(B,C)
=> ( r2_hidden(k15_ordinal2(B,A),k15_ordinal2(C,A))
| A = k1_xboole_0 ) ) ) ) ),
file('SET007+26.ax',t57_ordinal2) ).
fof(t58_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( r1_ordinal1(A,B)
=> r1_ordinal1(k15_ordinal2(A,C),k15_ordinal2(B,C)) ) ) ) ),
file('SET007+26.ax',t58_ordinal2) ).
fof(t59_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ! [C] :
( v3_ordinal1(C)
=> ( r1_ordinal1(A,B)
=> r1_ordinal1(k15_ordinal2(C,A),k15_ordinal2(C,B)) ) ) ) ),
file('SET007+26.ax',t59_ordinal2) ).
fof(t60_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> k16_ordinal2(A,k1_xboole_0) = k4_ordinal2 ),
file('SET007+26.ax',t60_ordinal2) ).
fof(t61_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> k16_ordinal2(A,k1_ordinal1(B)) = k15_ordinal2(A,k16_ordinal2(A,B)) ) ),
file('SET007+26.ax',t61_ordinal2) ).
fof(t62_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( v4_ordinal1(A)
=> ( ! [C] :
( ( v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(D,A)
=> k1_funct_1(C,D) = k16_ordinal2(B,D) ) )
& k1_relat_1(C) = A )
=> k16_ordinal2(B,A) = k12_ordinal2(C) ) )
| A = k1_xboole_0 ) ) ) ),
file('SET007+26.ax',t62_ordinal2) ).
fof(t63_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ( k16_ordinal2(k4_ordinal2,A) = k4_ordinal2
& k16_ordinal2(A,k4_ordinal2) = A ) ),
file('SET007+26.ax',t63_ordinal2) ).
fof(d21_ordinal2,axiom,
! [A] :
( v4_ordinal2(A)
<=> r2_hidden(A,k5_ordinal2) ),
file('SET007+26.ax',d21_ordinal2) ).
fof(t64_ordinal2,axiom,
$true,
file('SET007+26.ax',t64_ordinal2) ).
fof(t65_ordinal2,axiom,
! [A] :
( v3_ordinal1(A)
=> ? [B] :
( ? [C] :
( A = k14_ordinal2(B,C)
& v4_ordinal2(C)
& v4_ordinal1(B)
& v3_ordinal1(C) )
& v3_ordinal1(B) ) ),
file('SET007+26.ax',t65_ordinal2) ).
fof(s1_ordinal2,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( ( ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,A)
=> p1_s1_ordinal2(B) ) )
& v4_ordinal1(A) )
=> ( p1_s1_ordinal2(A)
| A = k1_xboole_0 ) ) )
& ! [A] :
( v3_ordinal1(A)
=> ( p1_s1_ordinal2(A)
=> p1_s1_ordinal2(k1_ordinal1(A)) ) )
& p1_s1_ordinal2(k1_xboole_0) )
=> ! [A] :
( v3_ordinal1(A)
=> p1_s1_ordinal2(A) ) ),
file('SET007+26.ax',s1_ordinal2) ).
fof(s2_ordinal2,axiom,
? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,f1_s2_ordinal2)
=> k1_funct_1(A,B) = f2_s2_ordinal2(B) ) )
& k1_relat_1(A) = f1_s2_ordinal2
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+26.ax',s2_ordinal2) ).
fof(s3_ordinal2,axiom,
? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,f1_s3_ordinal2)
=> k1_funct_1(A,B) = f2_s3_ordinal2(B) ) )
& k1_relat_1(A) = f1_s3_ordinal2
& v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+26.ax',s3_ordinal2) ).
fof(s4_ordinal2,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( ( v4_ordinal1(A)
& r2_hidden(A,f1_s4_ordinal2) )
=> ( k1_funct_1(f6_s4_ordinal2,A) = f4_s4_ordinal2(A,k2_ordinal1(f6_s4_ordinal2,A))
| A = k1_xboole_0 ) ) )
& ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(k1_ordinal1(A),f1_s4_ordinal2)
=> k1_funct_1(f6_s4_ordinal2,k1_ordinal1(A)) = f3_s4_ordinal2(A,k1_funct_1(f6_s4_ordinal2,A)) ) )
& ( r2_hidden(k1_xboole_0,f1_s4_ordinal2)
=> k1_funct_1(f6_s4_ordinal2,k1_xboole_0) = f2_s4_ordinal2 )
& k1_relat_1(f6_s4_ordinal2) = f1_s4_ordinal2
& ! [A] :
( v3_ordinal1(A)
=> ( ( v4_ordinal1(A)
& r2_hidden(A,f1_s4_ordinal2) )
=> ( k1_funct_1(f5_s4_ordinal2,A) = f4_s4_ordinal2(A,k2_ordinal1(f5_s4_ordinal2,A))
| A = k1_xboole_0 ) ) )
& ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(k1_ordinal1(A),f1_s4_ordinal2)
=> k1_funct_1(f5_s4_ordinal2,k1_ordinal1(A)) = f3_s4_ordinal2(A,k1_funct_1(f5_s4_ordinal2,A)) ) )
& ( r2_hidden(k1_xboole_0,f1_s4_ordinal2)
=> k1_funct_1(f5_s4_ordinal2,k1_xboole_0) = f2_s4_ordinal2 )
& k1_relat_1(f5_s4_ordinal2) = f1_s4_ordinal2 )
=> f5_s4_ordinal2 = f6_s4_ordinal2 ),
file('SET007+26.ax',s4_ordinal2) ).
fof(s5_ordinal2,axiom,
? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ( ( v4_ordinal1(B)
& r2_hidden(B,f1_s5_ordinal2) )
=> ( k1_funct_1(A,B) = f4_s5_ordinal2(B,k2_ordinal1(A,B))
| B = k1_xboole_0 ) ) )
& ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(k1_ordinal1(B),f1_s5_ordinal2)
=> k1_funct_1(A,k1_ordinal1(B)) = f3_s5_ordinal2(B,k1_funct_1(A,B)) ) )
& ( r2_hidden(k1_xboole_0,f1_s5_ordinal2)
=> k1_funct_1(A,k1_xboole_0) = f2_s5_ordinal2 )
& k1_relat_1(A) = f1_s5_ordinal2
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+26.ax',s5_ordinal2) ).
fof(s6_ordinal2,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( ( v4_ordinal1(A)
& r2_hidden(A,f3_s6_ordinal2) )
=> ( k1_funct_1(f1_s6_ordinal2,A) = f6_s6_ordinal2(A,k2_ordinal1(f1_s6_ordinal2,A))
| A = k1_xboole_0 ) ) )
& ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(k1_ordinal1(A),f3_s6_ordinal2)
=> k1_funct_1(f1_s6_ordinal2,k1_ordinal1(A)) = f5_s6_ordinal2(A,k1_funct_1(f1_s6_ordinal2,A)) ) )
& ( r2_hidden(k1_xboole_0,f3_s6_ordinal2)
=> k1_funct_1(f1_s6_ordinal2,k1_xboole_0) = f4_s6_ordinal2 )
& k1_relat_1(f1_s6_ordinal2) = f3_s6_ordinal2
& ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( B = f2_s6_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f6_s6_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f5_s6_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) )
=> ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(A,k1_relat_1(f1_s6_ordinal2))
=> k1_funct_1(f1_s6_ordinal2,A) = f2_s6_ordinal2(A) ) ) ),
file('SET007+26.ax',s6_ordinal2) ).
fof(s7_ordinal2,axiom,
( ! [A,B] :
~ ( A != B
& ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) )
=> ( k1_funct_1(C,D) = f4_s7_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2))
=> k1_funct_1(C,k1_ordinal1(D)) = f3_s7_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(C) = k1_ordinal1(f1_s7_ordinal2)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
& ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) )
=> ( k1_funct_1(C,D) = f4_s7_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2))
=> k1_funct_1(C,k1_ordinal1(D)) = f3_s7_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(C) = k1_ordinal1(f1_s7_ordinal2)
& A = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
& ? [A,B] :
( ! [C] :
( v3_ordinal1(C)
=> ( ( v4_ordinal1(C)
& r2_hidden(C,k1_ordinal1(f1_s7_ordinal2)) )
=> ( k1_funct_1(B,C) = f4_s7_ordinal2(C,k2_ordinal1(B,C))
| C = k1_xboole_0 ) ) )
& ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s7_ordinal2))
=> k1_funct_1(B,k1_ordinal1(C)) = f3_s7_ordinal2(C,k1_funct_1(B,C)) ) )
& k1_funct_1(B,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(B) = k1_ordinal1(f1_s7_ordinal2)
& A = k1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) ) ),
file('SET007+26.ax',s7_ordinal2) ).
fof(s8_ordinal2,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( B = f1_s8_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f4_s8_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f3_s8_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) )
=> f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2 ),
file('SET007+26.ax',s8_ordinal2) ).
fof(s9_ordinal2,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( B = f4_s9_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f3_s9_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f2_s9_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) )
=> ! [A] :
( v3_ordinal1(A)
=> f4_s9_ordinal2(k1_ordinal1(A)) = f2_s9_ordinal2(A,f4_s9_ordinal2(A)) ) ),
file('SET007+26.ax',s9_ordinal2) ).
fof(s10_ordinal2,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(A,f2_s10_ordinal2)
=> k1_funct_1(f1_s10_ordinal2,A) = f3_s10_ordinal2(A) ) )
& k1_relat_1(f1_s10_ordinal2) = f2_s10_ordinal2
& v4_ordinal1(f2_s10_ordinal2)
& f2_s10_ordinal2 != k1_xboole_0
& ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( B = f3_s10_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f6_s10_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f5_s10_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) )
=> f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2) ),
file('SET007+26.ax',s10_ordinal2) ).
fof(s11_ordinal2,axiom,
? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ( ( v4_ordinal1(B)
& r2_hidden(B,f1_s11_ordinal2) )
=> ( k1_funct_1(A,B) = f4_s11_ordinal2(B,k2_ordinal1(A,B))
| B = k1_xboole_0 ) ) )
& ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(k1_ordinal1(B),f1_s11_ordinal2)
=> k1_funct_1(A,k1_ordinal1(B)) = f3_s11_ordinal2(B,k1_funct_1(A,B)) ) )
& ( r2_hidden(k1_xboole_0,f1_s11_ordinal2)
=> k1_funct_1(A,k1_xboole_0) = f2_s11_ordinal2 )
& k1_relat_1(A) = f1_s11_ordinal2
& v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+26.ax',s11_ordinal2) ).
fof(s12_ordinal2,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( ( v4_ordinal1(A)
& r2_hidden(A,f3_s12_ordinal2) )
=> ( k1_funct_1(f1_s12_ordinal2,A) = f6_s12_ordinal2(A,k2_ordinal1(f1_s12_ordinal2,A))
| A = k1_xboole_0 ) ) )
& ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(k1_ordinal1(A),f3_s12_ordinal2)
=> k1_funct_1(f1_s12_ordinal2,k1_ordinal1(A)) = f5_s12_ordinal2(A,k1_funct_1(f1_s12_ordinal2,A)) ) )
& ( r2_hidden(k1_xboole_0,f3_s12_ordinal2)
=> k1_funct_1(f1_s12_ordinal2,k1_xboole_0) = f4_s12_ordinal2 )
& k1_relat_1(f1_s12_ordinal2) = f3_s12_ordinal2
& ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( B = f2_s12_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f6_s12_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f5_s12_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) ) )
=> ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(A,k1_relat_1(f1_s12_ordinal2))
=> k1_funct_1(f1_s12_ordinal2,A) = f2_s12_ordinal2(A) ) ) ),
file('SET007+26.ax',s12_ordinal2) ).
fof(s13_ordinal2,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ~ ( A != B
& ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) )
=> ( k1_funct_1(C,D) = f4_s13_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2))
=> k1_funct_1(C,k1_ordinal1(D)) = f3_s13_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(C) = k1_ordinal1(f1_s13_ordinal2)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
& ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) )
=> ( k1_funct_1(C,D) = f4_s13_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2))
=> k1_funct_1(C,k1_ordinal1(D)) = f3_s13_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(C) = k1_ordinal1(f1_s13_ordinal2)
& A = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) )
& ? [A] :
( ? [B] :
( ! [C] :
( v3_ordinal1(C)
=> ( ( v4_ordinal1(C)
& r2_hidden(C,k1_ordinal1(f1_s13_ordinal2)) )
=> ( k1_funct_1(B,C) = f4_s13_ordinal2(C,k2_ordinal1(B,C))
| C = k1_xboole_0 ) ) )
& ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s13_ordinal2))
=> k1_funct_1(B,k1_ordinal1(C)) = f3_s13_ordinal2(C,k1_funct_1(B,C)) ) )
& k1_funct_1(B,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(B) = k1_ordinal1(f1_s13_ordinal2)
& A = k1_ordinal2(B)
& v1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
& v3_ordinal1(A) ) ),
file('SET007+26.ax',s13_ordinal2) ).
fof(s14_ordinal2,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( B = f1_s14_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f4_s14_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f3_s14_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) )
=> f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2 ),
file('SET007+26.ax',s14_ordinal2) ).
fof(s15_ordinal2,axiom,
( ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( B = f4_s15_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f3_s15_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f2_s15_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) )
=> ! [A] :
( v3_ordinal1(A)
=> f4_s15_ordinal2(k1_ordinal1(A)) = f2_s15_ordinal2(A,f4_s15_ordinal2(A)) ) ),
file('SET007+26.ax',s15_ordinal2) ).
fof(s16_ordinal2,axiom,
( ( ! [A] :
( v3_ordinal1(A)
=> ( r2_hidden(A,f2_s16_ordinal2)
=> k1_funct_1(f1_s16_ordinal2,A) = f3_s16_ordinal2(A) ) )
& k1_relat_1(f1_s16_ordinal2) = f2_s16_ordinal2
& v4_ordinal1(f2_s16_ordinal2)
& f2_s16_ordinal2 != k1_xboole_0
& ! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( B = f3_s16_ordinal2(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = f6_s16_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = f5_s16_ordinal2(D,k1_funct_1(C,D)) ) )
& k1_funct_1(C,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ) ) )
=> f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2) ),
file('SET007+26.ax',s16_ordinal2) ).
fof(dt_k1_ordinal2,axiom,
$true,
file('SET007+26.ax',dt_k1_ordinal2) ).
fof(dt_k2_ordinal2,axiom,
$true,
file('SET007+26.ax',dt_k2_ordinal2) ).
fof(dt_k3_ordinal2,axiom,
$true,
file('SET007+26.ax',dt_k3_ordinal2) ).
fof(dt_k4_ordinal2,axiom,
( ~ v1_xboole_0(k4_ordinal2)
& v3_ordinal1(k4_ordinal2) ),
file('SET007+26.ax',dt_k4_ordinal2) ).
fof(dt_k5_ordinal2,axiom,
$true,
file('SET007+26.ax',dt_k5_ordinal2) ).
fof(dt_k6_ordinal2,axiom,
! [A] : v3_ordinal1(k6_ordinal2(A)),
file('SET007+26.ax',dt_k6_ordinal2) ).
fof(dt_k7_ordinal2,axiom,
! [A] : v3_ordinal1(k7_ordinal2(A)),
file('SET007+26.ax',dt_k7_ordinal2) ).
fof(dt_k8_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v3_ordinal1(k8_ordinal2(A)) ),
file('SET007+26.ax',dt_k8_ordinal2) ).
fof(dt_k9_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v3_ordinal1(k9_ordinal2(A)) ),
file('SET007+26.ax',dt_k9_ordinal2) ).
fof(dt_k10_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v3_ordinal1(k10_ordinal2(A)) ),
file('SET007+26.ax',dt_k10_ordinal2) ).
fof(dt_k11_ordinal2,axiom,
! [A] :
( ( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v3_ordinal1(k11_ordinal2(A)) ),
file('SET007+26.ax',dt_k11_ordinal2) ).
fof(dt_k12_ordinal2,axiom,
! [A] :
( ( v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v3_ordinal1(k12_ordinal2(A)) ),
file('SET007+26.ax',dt_k12_ordinal2) ).
fof(dt_k13_ordinal2,axiom,
! [A,B] :
( ( v1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& v3_ordinal1(A) )
=> v3_ordinal1(k13_ordinal2(A,B)) ),
file('SET007+26.ax',dt_k13_ordinal2) ).
fof(dt_k14_ordinal2,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v3_ordinal1(A) )
=> v3_ordinal1(k14_ordinal2(A,B)) ),
file('SET007+26.ax',dt_k14_ordinal2) ).
fof(dt_k15_ordinal2,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v3_ordinal1(A) )
=> v3_ordinal1(k15_ordinal2(A,B)) ),
file('SET007+26.ax',dt_k15_ordinal2) ).
fof(dt_k16_ordinal2,axiom,
! [A,B] :
( ( v3_ordinal1(B)
& v3_ordinal1(A) )
=> v3_ordinal1(k16_ordinal2(A,B)) ),
file('SET007+26.ax',dt_k16_ordinal2) ).
fof(rc1_finset_1,axiom,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
file('SET007+31.ax',rc1_finset_1) ).
fof(cc1_finset_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_finset_1(A) ),
file('SET007+31.ax',cc1_finset_1) ).
fof(rc2_finset_1,axiom,
! [A] :
? [B] :
( v1_finset_1(B)
& v4_ordinal2(B)
& v3_ordinal1(B)
& v2_ordinal1(B)
& v1_ordinal1(B)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('SET007+31.ax',rc2_finset_1) ).
fof(fc1_finset_1,axiom,
! [A] :
( v1_finset_1(k1_tarski(A))
& ~ v1_xboole_0(k1_tarski(A)) ),
file('SET007+31.ax',fc1_finset_1) ).
fof(rc3_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('SET007+31.ax',rc3_finset_1) ).
fof(fc2_finset_1,axiom,
! [A,B] :
( v1_finset_1(k2_tarski(A,B))
& ~ v1_xboole_0(k2_tarski(A,B)) ),
file('SET007+31.ax',fc2_finset_1) ).
fof(fc3_finset_1,axiom,
! [A,B,C] : v1_finset_1(k1_enumset1(A,B,C)),
file('SET007+31.ax',fc3_finset_1) ).
fof(fc4_finset_1,axiom,
! [A,B,C,D] : v1_finset_1(k2_enumset1(A,B,C,D)),
file('SET007+31.ax',fc4_finset_1) ).
fof(fc5_finset_1,axiom,
! [A,B,C,D,E] : v1_finset_1(k3_enumset1(A,B,C,D,E)),
file('SET007+31.ax',fc5_finset_1) ).
fof(fc6_finset_1,axiom,
! [A,B,C,D,E,F] : v1_finset_1(k4_enumset1(A,B,C,D,E,F)),
file('SET007+31.ax',fc6_finset_1) ).
fof(fc7_finset_1,axiom,
! [A,B,C,D,E,F,G] : v1_finset_1(k5_enumset1(A,B,C,D,E,F,G)),
file('SET007+31.ax',fc7_finset_1) ).
fof(fc8_finset_1,axiom,
! [A,B,C,D,E,F,G,H] : v1_finset_1(k6_enumset1(A,B,C,D,E,F,G,H)),
file('SET007+31.ax',fc8_finset_1) ).
fof(cc2_finset_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_finset_1(B) ) ),
file('SET007+31.ax',cc2_finset_1) ).
fof(fc9_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_xboole_0(A,B)) ),
file('SET007+31.ax',fc9_finset_1) ).
fof(fc10_finset_1,axiom,
! [A,B] :
( v1_finset_1(B)
=> v1_finset_1(k3_xboole_0(A,B)) ),
file('SET007+31.ax',fc10_finset_1) ).
fof(fc11_finset_1,axiom,
! [A,B] :
( v1_finset_1(A)
=> v1_finset_1(k3_xboole_0(A,B)) ),
file('SET007+31.ax',fc11_finset_1) ).
fof(fc12_finset_1,axiom,
! [A,B] :
( v1_finset_1(A)
=> v1_finset_1(k4_xboole_0(A,B)) ),
file('SET007+31.ax',fc12_finset_1) ).
fof(fc13_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v1_finset_1(k9_relat_1(A,B)) ),
file('SET007+31.ax',fc13_finset_1) ).
fof(fc14_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_zfmisc_1(A,B)) ),
file('SET007+31.ax',fc14_finset_1) ).
fof(fc15_finset_1,axiom,
! [A,B,C] :
( ( v1_finset_1(C)
& v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k3_zfmisc_1(A,B,C)) ),
file('SET007+31.ax',fc15_finset_1) ).
fof(fc16_finset_1,axiom,
! [A,B,C,D] :
( ( v1_finset_1(D)
& v1_finset_1(C)
& v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k4_zfmisc_1(A,B,C,D)) ),
file('SET007+31.ax',fc16_finset_1) ).
fof(fc17_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k5_xboole_0(A,B)) ),
file('SET007+31.ax',fc17_finset_1) ).
fof(rc4_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('SET007+31.ax',rc4_finset_1) ).
fof(d1_finset_1,axiom,
! [A] :
( v1_finset_1(A)
<=> ? [B] :
( r2_hidden(k1_relat_1(B),k5_ordinal2)
& k2_relat_1(B) = A
& v1_funct_1(B)
& v1_relat_1(B) ) ),
file('SET007+31.ax',d1_finset_1) ).
fof(t1_finset_1,axiom,
$true,
file('SET007+31.ax',t1_finset_1) ).
fof(t2_finset_1,axiom,
$true,
file('SET007+31.ax',t2_finset_1) ).
fof(t3_finset_1,axiom,
$true,
file('SET007+31.ax',t3_finset_1) ).
fof(t4_finset_1,axiom,
$true,
file('SET007+31.ax',t4_finset_1) ).
fof(t5_finset_1,axiom,
$true,
file('SET007+31.ax',t5_finset_1) ).
fof(t6_finset_1,axiom,
$true,
file('SET007+31.ax',t6_finset_1) ).
fof(t7_finset_1,axiom,
$true,
file('SET007+31.ax',t7_finset_1) ).
fof(t8_finset_1,axiom,
$true,
file('SET007+31.ax',t8_finset_1) ).
fof(t9_finset_1,axiom,
$true,
file('SET007+31.ax',t9_finset_1) ).
fof(t10_finset_1,axiom,
$true,
file('SET007+31.ax',t10_finset_1) ).
fof(t11_finset_1,axiom,
$true,
file('SET007+31.ax',t11_finset_1) ).
fof(t12_finset_1,axiom,
$true,
file('SET007+31.ax',t12_finset_1) ).
fof(t13_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& r1_tarski(A,B) )
=> v1_finset_1(A) ),
file('SET007+31.ax',t13_finset_1) ).
fof(t14_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_xboole_0(A,B)) ),
file('SET007+31.ax',t14_finset_1) ).
fof(t15_finset_1,axiom,
! [A,B] :
( v1_finset_1(A)
=> v1_finset_1(k3_xboole_0(A,B)) ),
file('SET007+31.ax',t15_finset_1) ).
fof(t16_finset_1,axiom,
! [A,B] :
( v1_finset_1(A)
=> v1_finset_1(k4_xboole_0(A,B)) ),
file('SET007+31.ax',t16_finset_1) ).
fof(t17_finset_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v1_finset_1(A)
=> v1_finset_1(k9_relat_1(B,A)) ) ),
file('SET007+31.ax',t17_finset_1) ).
fof(t18_finset_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ~ ( ! [C] :
~ ( ! [D] :
( ( r1_tarski(C,D)
& r2_hidden(D,B) )
=> D = C )
& r2_hidden(C,B) )
& B != k1_xboole_0 ) ) ),
file('SET007+31.ax',t18_finset_1) ).
fof(t19_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_zfmisc_1(A,B)) ),
file('SET007+31.ax',t19_finset_1) ).
fof(t20_finset_1,axiom,
! [A,B,C] :
( ( v1_finset_1(C)
& v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k3_zfmisc_1(A,B,C)) ),
file('SET007+31.ax',t20_finset_1) ).
fof(t21_finset_1,axiom,
! [A,B,C,D] :
( ( v1_finset_1(D)
& v1_finset_1(C)
& v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k4_zfmisc_1(A,B,C,D)) ),
file('SET007+31.ax',t21_finset_1) ).
fof(t22_finset_1,axiom,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(B,A))
=> ( v1_finset_1(B)
| A = k1_xboole_0 ) ),
file('SET007+31.ax',t22_finset_1) ).
fof(t23_finset_1,axiom,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(A,B))
=> ( v1_finset_1(B)
| A = k1_xboole_0 ) ),
file('SET007+31.ax',t23_finset_1) ).
fof(t24_finset_1,axiom,
! [A] :
( v1_finset_1(A)
<=> v1_finset_1(k1_zfmisc_1(A)) ),
file('SET007+31.ax',t24_finset_1) ).
fof(t25_finset_1,axiom,
! [A] :
( ( ! [B] :
( r2_hidden(B,A)
=> v1_finset_1(B) )
& v1_finset_1(A) )
<=> v1_finset_1(k3_tarski(A)) ),
file('SET007+31.ax',t25_finset_1) ).
fof(t26_finset_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finset_1(k1_relat_1(A))
=> v1_finset_1(k2_relat_1(A)) ) ),
file('SET007+31.ax',t26_finset_1) ).
fof(t27_finset_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( v1_finset_1(k10_relat_1(B,A))
& r1_tarski(A,k2_relat_1(B)) )
=> v1_finset_1(A) ) ),
file('SET007+31.ax',t27_finset_1) ).
fof(t28_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k5_xboole_0(A,B)) ),
file('SET007+31.ax',t28_finset_1) ).
fof(t29_finset_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finset_1(k1_relat_1(A))
<=> v1_finset_1(A) ) ),
file('SET007+31.ax',t29_finset_1) ).
fof(t30_finset_1,axiom,
! [A] :
~ ( ! [B] :
~ ( ! [C] :
( r2_hidden(C,A)
=> r1_tarski(B,C) )
& r2_hidden(B,A) )
& v6_ordinal1(A)
& A != k1_xboole_0
& v1_finset_1(A) ),
file('SET007+31.ax',t30_finset_1) ).
fof(t31_finset_1,axiom,
! [A] :
~ ( ! [B] :
~ ( ! [C] :
( r2_hidden(C,A)
=> r1_tarski(C,B) )
& r2_hidden(B,A) )
& v6_ordinal1(A)
& A != k1_xboole_0
& v1_finset_1(A) ),
file('SET007+31.ax',t31_finset_1) ).
fof(s1_finset_1,axiom,
? [A] :
( ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(B,f1_s1_finset_1)
=> ( ( ~ p1_s1_finset_1(B)
=> k1_funct_1(A,B) = f3_s1_finset_1(B) )
& ( p1_s1_finset_1(B)
=> k1_funct_1(A,B) = f2_s1_finset_1(B) ) ) ) )
& k1_relat_1(A) = f1_s1_finset_1
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+31.ax',s1_finset_1) ).
fof(s2_finset_1,axiom,
( ( ! [A,B] :
( ( p1_s2_finset_1(B)
& r1_tarski(B,f1_s2_finset_1)
& r2_hidden(A,f1_s2_finset_1) )
=> p1_s2_finset_1(k2_xboole_0(B,k1_tarski(A))) )
& p1_s2_finset_1(k1_xboole_0)
& v1_finset_1(f1_s2_finset_1) )
=> p1_s2_finset_1(f1_s2_finset_1) ),
file('SET007+31.ax',s2_finset_1) ).
fof(rc1_fraenkel,axiom,
? [A] :
( v1_fraenkel(A)
& ~ v1_xboole_0(A) ),
file('SET007+34.ax',rc1_fraenkel) ).
fof(cc1_fraenkel,axiom,
! [A] :
( v1_fraenkel(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_funct_1(B)
& v1_relat_1(B) ) ) ),
file('SET007+34.ax',cc1_fraenkel) ).
fof(fc1_fraenkel,axiom,
! [A,B] : v1_fraenkel(k1_funct_2(A,B)),
file('SET007+34.ax',fc1_fraenkel) ).
fof(fc2_fraenkel,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> ( v1_fraenkel(k1_funct_2(A,B))
& v1_finset_1(k1_funct_2(A,B)) ) ),
file('SET007+34.ax',fc2_fraenkel) ).
fof(t1_fraenkel,axiom,
$true,
file('SET007+34.ax',t1_fraenkel) ).
fof(t2_fraenkel,axiom,
$true,
file('SET007+34.ax',t2_fraenkel) ).
fof(t3_fraenkel,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
=> ! [E] :
( k7_relat_1(C,E) = k7_relat_1(D,E)
=> ! [F] :
( m1_subset_1(F,A)
=> ( r2_hidden(F,E)
=> k8_funct_2(A,B,C,F) = k8_funct_2(A,B,D,F) ) ) ) ) ) ) ),
file('SET007+34.ax',t3_fraenkel) ).
fof(t4_fraenkel,axiom,
$true,
file('SET007+34.ax',t4_fraenkel) ).
fof(t5_fraenkel,axiom,
! [A,B] : r1_tarski(k1_funct_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))),
file('SET007+34.ax',t5_fraenkel) ).
fof(t6_fraenkel,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C,D] :
( ( r1_tarski(D,A)
& r1_tarski(C,B) )
=> ( ! [E] :
( m1_subset_1(E,k1_funct_2(C,D))
=> ( m2_relset_1(E,B,A)
& v1_funct_1(E) ) )
| k1_funct_2(C,D) = k1_xboole_0 ) ) ),
file('SET007+34.ax',t6_fraenkel) ).
fof(d1_fraenkel,axiom,
! [A] :
( v1_fraenkel(A)
<=> ! [B] :
( r2_hidden(B,A)
=> ( v1_funct_1(B)
& v1_relat_1(B) ) ) ),
file('SET007+34.ax',d1_fraenkel) ).
fof(t7_fraenkel,axiom,
$true,
file('SET007+34.ax',t7_fraenkel) ).
fof(t8_fraenkel,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> v1_fraenkel(k1_tarski(A)) ),
file('SET007+34.ax',t8_fraenkel) ).
fof(d2_fraenkel,axiom,
! [A,B,C] :
( ( v1_fraenkel(C)
& ~ v1_xboole_0(C) )
=> ( m1_fraenkel(C,A,B)
<=> ! [D] :
( m1_subset_1(D,C)
=> ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) ) ) ) ),
file('SET007+34.ax',d2_fraenkel) ).
fof(t9_fraenkel,axiom,
$true,
file('SET007+34.ax',t9_fraenkel) ).
fof(t10_fraenkel,axiom,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(A,B)),C),A,B) ),
file('SET007+34.ax',t10_fraenkel) ).
fof(t11_fraenkel,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] : m1_fraenkel(k1_funct_2(B,A),B,A) ),
file('SET007+34.ax',t11_fraenkel) ).
fof(t12_fraenkel,axiom,
$true,
file('SET007+34.ax',t12_fraenkel) ).
fof(t13_fraenkel,axiom,
$true,
file('SET007+34.ax',t13_fraenkel) ).
fof(t14_fraenkel,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C,D] :
( ( r1_tarski(D,A)
& r1_tarski(C,B) )
=> ( ! [E] :
( m1_subset_1(E,k1_funct_2(C,D))
=> ? [F] :
( k7_relat_1(F,C) = E
& m2_fraenkel(F,B,A,k1_fraenkel(B,A)) ) )
| k1_funct_2(C,D) = k1_xboole_0 ) ) ),
file('SET007+34.ax',t14_fraenkel) ).
fof(t15_fraenkel,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C,D] :
( m2_fraenkel(D,B,A,k1_fraenkel(B,A))
=> k7_relat_1(D,C) = k7_relat_1(D,k3_xboole_0(B,C)) ) ),
file('SET007+34.ax',t15_fraenkel) ).
fof(t16_fraenkel,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k1_funct_2(A,B)) ),
file('SET007+34.ax',t16_fraenkel) ).
fof(t17_fraenkel,axiom,
! [A] :
( v1_fraenkel(A)
=> ! [B] :
( r1_tarski(B,A)
=> v1_fraenkel(B) ) ),
file('SET007+34.ax',t17_fraenkel) ).
fof(s23_fraenkel,axiom,
( ( ! [A] :
( m1_subset_1(A,f1_s23_fraenkel)
=> ! [B] :
( m1_subset_1(B,f1_s23_fraenkel)
=> ! [C] :
( m1_subset_1(C,f1_s23_fraenkel)
=> ( ( p1_s23_fraenkel(B,C)
& p1_s23_fraenkel(A,B) )
=> p1_s23_fraenkel(A,C) ) ) ) )
& ! [A] :
( m1_subset_1(A,f1_s23_fraenkel)
=> p1_s23_fraenkel(A,A) ) )
=> ! [A] :
( m1_subset_1(A,f1_s23_fraenkel)
=> ~ ( ! [B] :
( m1_subset_1(B,f1_s23_fraenkel)
=> ~ ( ! [C] :
( m1_subset_1(C,f1_s23_fraenkel)
=> ( ( p1_s23_fraenkel(C,B)
& r2_hidden(C,f2_s23_fraenkel) )
=> p1_s23_fraenkel(B,C) ) )
& p1_s23_fraenkel(B,A)
& r2_hidden(B,f2_s23_fraenkel) ) )
& r2_hidden(A,f2_s23_fraenkel) ) ) ),
file('SET007+34.ax',s23_fraenkel) ).
fof(s24_fraenkel,axiom,
? [A] :
( ! [B] :
( m1_subset_1(B,f1_s24_fraenkel)
=> ( r2_hidden(B,A)
<=> ? [C] :
( p1_s24_fraenkel(B,C)
& B = f4_s24_fraenkel(C)
& r2_hidden(C,f3_s24_fraenkel)
& m1_subset_1(C,f2_s24_fraenkel) ) ) )
& m1_subset_1(A,k5_finsub_1(f1_s24_fraenkel)) ),
file('SET007+34.ax',s24_fraenkel) ).
fof(s26_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s26_fraenkel)
=> ~ ( ! [B] :
( m1_subset_1(B,f2_s26_fraenkel)
=> ~ p1_s26_fraenkel(A,B) )
& r2_hidden(A,f3_s26_fraenkel) ) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s26_fraenkel)
=> ( r2_hidden(B,f3_s26_fraenkel)
=> p1_s26_fraenkel(B,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,A,B)) ) )
& m2_relset_1(A,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_2(A,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_1(A) ) ),
file('SET007+34.ax',s26_fraenkel) ).
fof(s27_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s27_fraenkel)
=> ~ ( ! [B] :
( m1_subset_1(B,f2_s27_fraenkel)
=> ~ p1_s27_fraenkel(A,B) )
& r2_hidden(A,f3_s27_fraenkel) ) )
=> ? [A] :
( ! [B] :
( m1_subset_1(B,f1_s27_fraenkel)
=> ( r2_hidden(B,f3_s27_fraenkel)
=> p1_s27_fraenkel(B,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,A,B)) ) )
& m2_fraenkel(A,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) ) ),
file('SET007+34.ax',s27_fraenkel) ).
fof(dt_m1_fraenkel,axiom,
! [A,B,C] :
( m1_fraenkel(C,A,B)
=> ( v1_fraenkel(C)
& ~ v1_xboole_0(C) ) ),
file('SET007+34.ax',dt_m1_fraenkel) ).
fof(existence_m1_fraenkel,axiom,
! [A,B] :
? [C] : m1_fraenkel(C,A,B),
file('SET007+34.ax',existence_m1_fraenkel) ).
fof(dt_m2_fraenkel,axiom,
! [A,B,C] :
( ( m1_fraenkel(C,A,B)
& ~ v1_xboole_0(B) )
=> ! [D] :
( m2_fraenkel(D,A,B,C)
=> ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) ) ) ),
file('SET007+34.ax',dt_m2_fraenkel) ).
fof(existence_m2_fraenkel,axiom,
! [A,B,C] :
( ( m1_fraenkel(C,A,B)
& ~ v1_xboole_0(B) )
=> ? [D] : m2_fraenkel(D,A,B,C) ),
file('SET007+34.ax',existence_m2_fraenkel) ).
fof(redefinition_m2_fraenkel,axiom,
! [A,B,C] :
( ( m1_fraenkel(C,A,B)
& ~ v1_xboole_0(B) )
=> ! [D] :
( m2_fraenkel(D,A,B,C)
<=> m1_subset_1(D,C) ) ),
file('SET007+34.ax',redefinition_m2_fraenkel) ).
fof(dt_k1_fraenkel,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> m1_fraenkel(k1_fraenkel(A,B),A,B) ),
file('SET007+34.ax',dt_k1_fraenkel) ).
fof(redefinition_k1_fraenkel,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> k1_fraenkel(A,B) = k1_funct_2(A,B) ),
file('SET007+34.ax',redefinition_k1_fraenkel) ).
fof(s1_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s1_fraenkel)
=> ( p1_s1_fraenkel(A)
=> p2_s1_fraenkel(A) ) )
=> r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel) ),
file('SET007+34.ax',s1_fraenkel) ).
fof(s2_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s2_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s2_fraenkel)
=> ( p1_s2_fraenkel(A,B)
=> p2_s2_fraenkel(A,B) ) ) )
=> r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel) ),
file('SET007+34.ax',s2_fraenkel) ).
fof(s3_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s3_fraenkel)
=> ( p1_s3_fraenkel(A)
<=> p2_s3_fraenkel(A) ) )
=> a_0_4_fraenkel = a_0_5_fraenkel ),
file('SET007+34.ax',s3_fraenkel) ).
fof(s4_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s4_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s4_fraenkel)
=> ( p1_s4_fraenkel(A,B)
<=> p2_s4_fraenkel(A,B) ) ) )
=> a_0_6_fraenkel = a_0_7_fraenkel ),
file('SET007+34.ax',s4_fraenkel) ).
fof(s5_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s5_fraenkel)
=> f2_s5_fraenkel(A) = f3_s5_fraenkel(A) )
=> a_0_8_fraenkel = a_0_9_fraenkel ),
file('SET007+34.ax',s5_fraenkel) ).
fof(s6_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s6_fraenkel)
=> ( p1_s6_fraenkel(A)
=> f2_s6_fraenkel(A) = f3_s6_fraenkel(A) ) )
=> a_0_10_fraenkel = a_0_11_fraenkel ),
file('SET007+34.ax',s6_fraenkel) ).
fof(s7_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s7_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s7_fraenkel)
=> f3_s7_fraenkel(A,B) = f4_s7_fraenkel(A,B) ) )
=> a_0_12_fraenkel = a_0_13_fraenkel ),
file('SET007+34.ax',s7_fraenkel) ).
fof(s8_fraenkel,axiom,
( ( ! [A] :
( m1_subset_1(A,f1_s8_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s8_fraenkel)
=> f3_s8_fraenkel(A,B) = f3_s8_fraenkel(B,A) ) )
& ! [A] :
( m1_subset_1(A,f1_s8_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s8_fraenkel)
=> ( p1_s8_fraenkel(A,B)
<=> p2_s8_fraenkel(A,B) ) ) ) )
=> a_0_14_fraenkel = a_0_15_fraenkel ),
file('SET007+34.ax',s8_fraenkel) ).
fof(s9_fraenkel,axiom,
( ( ! [A] :
( m1_subset_1(A,f1_s9_fraenkel)
=> ( r2_hidden(A,f3_s9_fraenkel)
=> ( p1_s9_fraenkel(A)
<=> p2_s9_fraenkel(A) ) ) )
& k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) = k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) )
=> a_0_16_fraenkel = a_0_17_fraenkel ),
file('SET007+34.ax',s9_fraenkel) ).
fof(s10_fraenkel,axiom,
r1_tarski(a_0_18_fraenkel,f1_s10_fraenkel),
file('SET007+34.ax',s10_fraenkel) ).
fof(s11_fraenkel,axiom,
( ! [A] :
( r2_hidden(A,a_0_19_fraenkel)
=> p2_s11_fraenkel(A) )
=> ! [A] :
( m1_subset_1(A,f1_s11_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s11_fraenkel)
=> ( p1_s11_fraenkel(A,B)
=> p2_s11_fraenkel(f3_s11_fraenkel(A,B)) ) ) ) ),
file('SET007+34.ax',s11_fraenkel) ).
fof(s12_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s12_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s12_fraenkel)
=> ( p1_s12_fraenkel(A,B)
=> p2_s12_fraenkel(f3_s12_fraenkel(A,B)) ) ) )
=> ! [A] :
( r2_hidden(A,a_0_20_fraenkel)
=> p2_s12_fraenkel(A) ) ),
file('SET007+34.ax',s12_fraenkel) ).
fof(s13_fraenkel,axiom,
a_0_21_fraenkel = a_0_23_fraenkel,
file('SET007+34.ax',s13_fraenkel) ).
fof(s14_fraenkel,axiom,
a_0_24_fraenkel = a_0_26_fraenkel,
file('SET007+34.ax',s14_fraenkel) ).
fof(s15_fraenkel,axiom,
a_0_27_fraenkel = a_0_29_fraenkel,
file('SET007+34.ax',s15_fraenkel) ).
fof(s16_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s16_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s16_fraenkel)
=> ~ ( ! [C] :
( m1_subset_1(C,f1_s16_fraenkel)
=> ~ ( f3_s16_fraenkel(A,B) = f3_s16_fraenkel(C,B)
& p2_s16_fraenkel(C,B) ) )
& p1_s16_fraenkel(A,B) ) ) )
=> r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel) ),
file('SET007+34.ax',s16_fraenkel) ).
fof(s17_fraenkel,axiom,
r1_tarski(a_0_32_fraenkel,f2_s17_fraenkel),
file('SET007+34.ax',s17_fraenkel) ).
fof(s18_fraenkel,axiom,
r1_xboole_0(a_0_33_fraenkel,f2_s18_fraenkel),
file('SET007+34.ax',s18_fraenkel) ).
fof(s19_fraenkel,axiom,
( ! [A] :
( m1_subset_1(A,f1_s19_fraenkel)
=> ! [B] :
( m1_subset_1(B,f2_s19_fraenkel)
=> ( p2_s19_fraenkel(A,B)
<=> ( p1_s19_fraenkel(A,B)
& B = f4_s19_fraenkel ) ) ) )
=> a_0_34_fraenkel = a_0_35_fraenkel ),
file('SET007+34.ax',s19_fraenkel) ).
fof(s20_fraenkel,axiom,
a_0_36_fraenkel = a_0_37_fraenkel,
file('SET007+34.ax',s20_fraenkel) ).
fof(s21_fraenkel,axiom,
( v1_finset_1(f2_s21_fraenkel)
=> v1_finset_1(a_0_38_fraenkel) ),
file('SET007+34.ax',s21_fraenkel) ).
fof(s22_fraenkel,axiom,
( ( v1_finset_1(f4_s22_fraenkel)
& v1_finset_1(f3_s22_fraenkel) )
=> v1_finset_1(a_0_39_fraenkel) ),
file('SET007+34.ax',s22_fraenkel) ).
fof(s25_fraenkel,axiom,
( ( ! [A] :
( m2_fraenkel(A,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
=> ! [B] :
( m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
=> ( k7_relat_1(A,f3_s25_fraenkel) = k7_relat_1(B,f3_s25_fraenkel)
=> f5_s25_fraenkel(A) = f5_s25_fraenkel(B) ) ) )
& v1_finset_1(f4_s25_fraenkel)
& v1_finset_1(f3_s25_fraenkel) )
=> v1_finset_1(a_0_40_fraenkel) ),
file('SET007+34.ax',s25_fraenkel) ).
fof(fraenkel_a_0_0_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_0_fraenkel)
<=> ? [B] :
( p1_s1_fraenkel(B)
& A = f2_s1_fraenkel(B)
& m1_subset_1(B,f1_s1_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_0_fraenkel) ).
fof(fraenkel_a_0_1_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_1_fraenkel)
<=> ? [B] :
( p2_s1_fraenkel(B)
& A = f2_s1_fraenkel(B)
& m1_subset_1(B,f1_s1_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_1_fraenkel) ).
fof(fraenkel_a_0_2_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_2_fraenkel)
<=> ? [B,C] :
( p1_s2_fraenkel(B,C)
& A = f3_s2_fraenkel(B,C)
& m1_subset_1(C,f2_s2_fraenkel)
& m1_subset_1(B,f1_s2_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_2_fraenkel) ).
fof(fraenkel_a_0_3_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_3_fraenkel)
<=> ? [B,C] :
( p2_s2_fraenkel(B,C)
& A = f3_s2_fraenkel(B,C)
& m1_subset_1(C,f2_s2_fraenkel)
& m1_subset_1(B,f1_s2_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_3_fraenkel) ).
fof(fraenkel_a_0_4_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_4_fraenkel)
<=> ? [B] :
( p1_s3_fraenkel(B)
& A = f2_s3_fraenkel(B)
& m1_subset_1(B,f1_s3_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_4_fraenkel) ).
fof(fraenkel_a_0_5_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_5_fraenkel)
<=> ? [B] :
( p2_s3_fraenkel(B)
& A = f2_s3_fraenkel(B)
& m1_subset_1(B,f1_s3_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_5_fraenkel) ).
fof(fraenkel_a_0_6_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_6_fraenkel)
<=> ? [B,C] :
( p1_s4_fraenkel(B,C)
& A = f3_s4_fraenkel(B,C)
& m1_subset_1(C,f2_s4_fraenkel)
& m1_subset_1(B,f1_s4_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_6_fraenkel) ).
fof(fraenkel_a_0_7_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_7_fraenkel)
<=> ? [B,C] :
( p2_s4_fraenkel(B,C)
& A = f3_s4_fraenkel(B,C)
& m1_subset_1(C,f2_s4_fraenkel)
& m1_subset_1(B,f1_s4_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_7_fraenkel) ).
fof(fraenkel_a_0_8_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_8_fraenkel)
<=> ? [B] :
( p1_s5_fraenkel(B)
& A = f2_s5_fraenkel(B)
& m1_subset_1(B,f1_s5_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_8_fraenkel) ).
fof(fraenkel_a_0_9_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_9_fraenkel)
<=> ? [B] :
( p1_s5_fraenkel(B)
& A = f3_s5_fraenkel(B)
& m1_subset_1(B,f1_s5_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_9_fraenkel) ).
fof(fraenkel_a_0_10_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_10_fraenkel)
<=> ? [B] :
( p1_s6_fraenkel(B)
& A = f2_s6_fraenkel(B)
& m1_subset_1(B,f1_s6_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_10_fraenkel) ).
fof(fraenkel_a_0_11_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_11_fraenkel)
<=> ? [B] :
( p1_s6_fraenkel(B)
& A = f3_s6_fraenkel(B)
& m1_subset_1(B,f1_s6_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_11_fraenkel) ).
fof(fraenkel_a_0_12_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_12_fraenkel)
<=> ? [B,C] :
( p1_s7_fraenkel(B,C)
& A = f3_s7_fraenkel(B,C)
& m1_subset_1(C,f2_s7_fraenkel)
& m1_subset_1(B,f1_s7_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_12_fraenkel) ).
fof(fraenkel_a_0_13_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_13_fraenkel)
<=> ? [B,C] :
( p1_s7_fraenkel(B,C)
& A = f4_s7_fraenkel(B,C)
& m1_subset_1(C,f2_s7_fraenkel)
& m1_subset_1(B,f1_s7_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_13_fraenkel) ).
fof(fraenkel_a_0_14_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_14_fraenkel)
<=> ? [B,C] :
( p1_s8_fraenkel(B,C)
& A = f3_s8_fraenkel(B,C)
& m1_subset_1(C,f2_s8_fraenkel)
& m1_subset_1(B,f1_s8_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_14_fraenkel) ).
fof(fraenkel_a_0_15_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_15_fraenkel)
<=> ? [B,C] :
( p2_s8_fraenkel(B,C)
& A = f3_s8_fraenkel(C,B)
& m1_subset_1(C,f2_s8_fraenkel)
& m1_subset_1(B,f1_s8_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_15_fraenkel) ).
fof(fraenkel_a_0_16_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_16_fraenkel)
<=> ? [B] :
( r2_hidden(B,f3_s9_fraenkel)
& p1_s9_fraenkel(B)
& A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B)
& m1_subset_1(B,f1_s9_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_16_fraenkel) ).
fof(fraenkel_a_0_17_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_17_fraenkel)
<=> ? [B] :
( r2_hidden(B,f3_s9_fraenkel)
& p2_s9_fraenkel(B)
& A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,B)
& m1_subset_1(B,f1_s9_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_17_fraenkel) ).
fof(fraenkel_a_0_18_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_18_fraenkel)
<=> ? [B] :
( p1_s10_fraenkel(B)
& A = B
& m1_subset_1(B,f1_s10_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_18_fraenkel) ).
fof(fraenkel_a_0_19_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_19_fraenkel)
<=> ? [B,C] :
( p1_s11_fraenkel(B,C)
& A = f3_s11_fraenkel(B,C)
& m1_subset_1(C,f2_s11_fraenkel)
& m1_subset_1(B,f1_s11_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_19_fraenkel) ).
fof(fraenkel_a_0_20_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_20_fraenkel)
<=> ? [B,C] :
( p1_s12_fraenkel(B,C)
& A = f3_s12_fraenkel(B,C)
& m1_subset_1(C,f2_s12_fraenkel)
& m1_subset_1(B,f1_s12_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_20_fraenkel) ).
fof(fraenkel_a_0_21_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_21_fraenkel)
<=> ? [B] :
( p2_s13_fraenkel(B)
& r2_hidden(B,a_0_22_fraenkel)
& A = B
& m1_subset_1(B,f3_s13_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_21_fraenkel) ).
fof(fraenkel_a_0_22_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_22_fraenkel)
<=> ? [B,C] :
( p1_s13_fraenkel(B,C)
& A = f4_s13_fraenkel(B,C)
& m1_subset_1(C,f2_s13_fraenkel)
& m1_subset_1(B,f1_s13_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_22_fraenkel) ).
fof(fraenkel_a_0_23_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_23_fraenkel)
<=> ? [B,C] :
( p2_s13_fraenkel(f4_s13_fraenkel(B,C))
& p1_s13_fraenkel(B,C)
& A = f4_s13_fraenkel(B,C)
& m1_subset_1(C,f2_s13_fraenkel)
& m1_subset_1(B,f1_s13_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_23_fraenkel) ).
fof(fraenkel_a_0_24_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_24_fraenkel)
<=> ? [B] :
( p1_s14_fraenkel(B)
& r2_hidden(B,a_0_25_fraenkel)
& A = f2_s14_fraenkel(B)
& m1_subset_1(B,f1_s14_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_24_fraenkel) ).
fof(fraenkel_a_0_25_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_25_fraenkel)
<=> ? [B] :
( p2_s14_fraenkel(B)
& A = B
& m1_subset_1(B,f1_s14_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_25_fraenkel) ).
fof(fraenkel_a_0_26_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_26_fraenkel)
<=> ? [B] :
( p1_s14_fraenkel(B)
& p2_s14_fraenkel(B)
& A = f2_s14_fraenkel(B)
& m1_subset_1(B,f1_s14_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_26_fraenkel) ).
fof(fraenkel_a_0_27_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_27_fraenkel)
<=> ? [B,C] :
( p1_s15_fraenkel(B,C)
& r2_hidden(B,a_0_28_fraenkel)
& A = f3_s15_fraenkel(B,C)
& m1_subset_1(C,f2_s15_fraenkel)
& m1_subset_1(B,f1_s15_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_27_fraenkel) ).
fof(fraenkel_a_0_28_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_28_fraenkel)
<=> ? [B] :
( p2_s15_fraenkel(B)
& A = B
& m1_subset_1(B,f1_s15_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_28_fraenkel) ).
fof(fraenkel_a_0_29_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_29_fraenkel)
<=> ? [B,C] :
( p1_s15_fraenkel(B,C)
& p2_s15_fraenkel(B)
& A = f3_s15_fraenkel(B,C)
& m1_subset_1(C,f2_s15_fraenkel)
& m1_subset_1(B,f1_s15_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_29_fraenkel) ).
fof(fraenkel_a_0_30_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_30_fraenkel)
<=> ? [B,C] :
( p1_s16_fraenkel(B,C)
& A = f3_s16_fraenkel(B,C)
& m1_subset_1(C,f2_s16_fraenkel)
& m1_subset_1(B,f1_s16_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_30_fraenkel) ).
fof(fraenkel_a_0_31_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_31_fraenkel)
<=> ? [B,C] :
( p2_s16_fraenkel(B,C)
& A = f3_s16_fraenkel(B,C)
& m1_subset_1(C,f2_s16_fraenkel)
& m1_subset_1(B,f1_s16_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_31_fraenkel) ).
fof(fraenkel_a_0_32_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_32_fraenkel)
<=> ? [B] :
( p1_s17_fraenkel(B)
& r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel)
& A = f3_s17_fraenkel(B)
& m1_subset_1(B,f1_s17_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_32_fraenkel) ).
fof(fraenkel_a_0_33_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_33_fraenkel)
<=> ? [B] :
( ~ r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel)
& p1_s18_fraenkel(B)
& A = f3_s18_fraenkel(B)
& m1_subset_1(B,f1_s18_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_33_fraenkel) ).
fof(fraenkel_a_0_34_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_34_fraenkel)
<=> ? [B,C] :
( p2_s19_fraenkel(B,C)
& A = f3_s19_fraenkel(B,C)
& m1_subset_1(C,f2_s19_fraenkel)
& m1_subset_1(B,f1_s19_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_34_fraenkel) ).
fof(fraenkel_a_0_35_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_35_fraenkel)
<=> ? [B] :
( p1_s19_fraenkel(B,f4_s19_fraenkel)
& A = f3_s19_fraenkel(B,f4_s19_fraenkel)
& m1_subset_1(B,f1_s19_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_35_fraenkel) ).
fof(fraenkel_a_0_36_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_36_fraenkel)
<=> ? [B,C] :
( p1_s20_fraenkel(B,C)
& C = f4_s20_fraenkel
& A = f3_s20_fraenkel(B,C)
& m1_subset_1(C,f2_s20_fraenkel)
& m1_subset_1(B,f1_s20_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_36_fraenkel) ).
fof(fraenkel_a_0_37_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_37_fraenkel)
<=> ? [B] :
( p1_s20_fraenkel(B,f4_s20_fraenkel)
& A = f3_s20_fraenkel(B,f4_s20_fraenkel)
& m1_subset_1(B,f1_s20_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_37_fraenkel) ).
fof(fraenkel_a_0_38_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_38_fraenkel)
<=> ? [B] :
( r2_hidden(B,f2_s21_fraenkel)
& A = f3_s21_fraenkel(B)
& m1_subset_1(B,f1_s21_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_38_fraenkel) ).
fof(fraenkel_a_0_39_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_39_fraenkel)
<=> ? [B,C] :
( r2_hidden(C,f4_s22_fraenkel)
& r2_hidden(B,f3_s22_fraenkel)
& A = f5_s22_fraenkel(B,C)
& m1_subset_1(C,f2_s22_fraenkel)
& m1_subset_1(B,f1_s22_fraenkel) ) ),
file('SET007+34.ax',fraenkel_a_0_39_fraenkel) ).
fof(fraenkel_a_0_40_fraenkel,axiom,
! [A] :
( r2_hidden(A,a_0_40_fraenkel)
<=> ? [B] :
( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,B,f3_s25_fraenkel),f4_s25_fraenkel)
& A = f5_s25_fraenkel(B)
& m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) ) ),
file('SET007+34.ax',fraenkel_a_0_40_fraenkel) ).
fof(fc1_numbers,axiom,
~ v1_xboole_0(k1_numbers),
file('SET007+35.ax',fc1_numbers) ).
fof(fc2_numbers,axiom,
~ v1_xboole_0(k2_numbers),
file('SET007+35.ax',fc2_numbers) ).
fof(fc3_numbers,axiom,
~ v1_xboole_0(k3_numbers),
file('SET007+35.ax',fc3_numbers) ).
fof(fc4_numbers,axiom,
~ v1_xboole_0(k4_numbers),
file('SET007+35.ax',fc4_numbers) ).
fof(d1_numbers,axiom,
k1_numbers = k4_xboole_0(k2_xboole_0(k2_arytm_2,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)),k1_tarski(k4_tarski(np__0,np__0))),
file('SET007+35.ax',d1_numbers) ).
fof(d3_numbers,axiom,
k3_numbers = k4_xboole_0(k2_xboole_0(k6_arytm_3,k2_zfmisc_1(k1_tarski(np__0),k6_arytm_3)),k1_tarski(k4_tarski(np__0,np__0))),
file('SET007+35.ax',d3_numbers) ).
fof(d4_numbers,axiom,
k4_numbers = k4_xboole_0(k2_xboole_0(k5_ordinal2,k2_zfmisc_1(k1_tarski(np__0),k5_ordinal2)),k1_tarski(k4_tarski(np__0,np__0))),
file('SET007+35.ax',d4_numbers) ).
fof(t1_numbers,axiom,
r2_xboole_0(k1_numbers,k2_numbers),
file('SET007+35.ax',t1_numbers) ).
fof(t2_numbers,axiom,
r2_xboole_0(k3_numbers,k1_numbers),
file('SET007+35.ax',t2_numbers) ).
fof(t3_numbers,axiom,
r2_xboole_0(k3_numbers,k2_numbers),
file('SET007+35.ax',t3_numbers) ).
fof(t4_numbers,axiom,
r2_xboole_0(k4_numbers,k3_numbers),
file('SET007+35.ax',t4_numbers) ).
fof(t5_numbers,axiom,
r2_xboole_0(k4_numbers,k1_numbers),
file('SET007+35.ax',t5_numbers) ).
fof(t6_numbers,axiom,
r2_xboole_0(k4_numbers,k2_numbers),
file('SET007+35.ax',t6_numbers) ).
fof(t7_numbers,axiom,
r2_xboole_0(k5_numbers,k4_numbers),
file('SET007+35.ax',t7_numbers) ).
fof(t8_numbers,axiom,
r2_xboole_0(k5_numbers,k3_numbers),
file('SET007+35.ax',t8_numbers) ).
fof(t9_numbers,axiom,
r2_xboole_0(k5_numbers,k1_numbers),
file('SET007+35.ax',t9_numbers) ).
fof(t10_numbers,axiom,
r2_xboole_0(k5_numbers,k2_numbers),
file('SET007+35.ax',t10_numbers) ).
fof(t11_numbers,axiom,
r1_tarski(k1_numbers,k2_numbers),
file('SET007+35.ax',t11_numbers) ).
fof(t12_numbers,axiom,
r1_tarski(k3_numbers,k1_numbers),
file('SET007+35.ax',t12_numbers) ).
fof(t13_numbers,axiom,
r1_tarski(k3_numbers,k2_numbers),
file('SET007+35.ax',t13_numbers) ).
fof(t14_numbers,axiom,
r1_tarski(k4_numbers,k3_numbers),
file('SET007+35.ax',t14_numbers) ).
fof(t15_numbers,axiom,
r1_tarski(k4_numbers,k1_numbers),
file('SET007+35.ax',t15_numbers) ).
fof(t16_numbers,axiom,
r1_tarski(k4_numbers,k2_numbers),
file('SET007+35.ax',t16_numbers) ).
fof(t17_numbers,axiom,
r1_tarski(k5_numbers,k4_numbers),
file('SET007+35.ax',t17_numbers) ).
fof(t18_numbers,axiom,
r1_tarski(k5_numbers,k3_numbers),
file('SET007+35.ax',t18_numbers) ).
fof(t19_numbers,axiom,
r1_tarski(k5_numbers,k1_numbers),
file('SET007+35.ax',t19_numbers) ).
fof(t20_numbers,axiom,
r1_tarski(k5_numbers,k2_numbers),
file('SET007+35.ax',t20_numbers) ).
fof(t21_numbers,axiom,
k1_numbers != k2_numbers,
file('SET007+35.ax',t21_numbers) ).
fof(t22_numbers,axiom,
k3_numbers != k1_numbers,
file('SET007+35.ax',t22_numbers) ).
fof(t23_numbers,axiom,
k3_numbers != k2_numbers,
file('SET007+35.ax',t23_numbers) ).
fof(t24_numbers,axiom,
k4_numbers != k3_numbers,
file('SET007+35.ax',t24_numbers) ).
fof(t25_numbers,axiom,
k4_numbers != k1_numbers,
file('SET007+35.ax',t25_numbers) ).
fof(t26_numbers,axiom,
k4_numbers != k2_numbers,
file('SET007+35.ax',t26_numbers) ).
fof(t27_numbers,axiom,
k5_numbers != k4_numbers,
file('SET007+35.ax',t27_numbers) ).
fof(t28_numbers,axiom,
k5_numbers != k3_numbers,
file('SET007+35.ax',t28_numbers) ).
fof(t29_numbers,axiom,
k5_numbers != k1_numbers,
file('SET007+35.ax',t29_numbers) ).
fof(t30_numbers,axiom,
k5_numbers != k2_numbers,
file('SET007+35.ax',t30_numbers) ).
fof(dt_k1_numbers,axiom,
$true,
file('SET007+35.ax',dt_k1_numbers) ).
fof(dt_k2_numbers,axiom,
$true,
file('SET007+35.ax',dt_k2_numbers) ).
fof(dt_k3_numbers,axiom,
$true,
file('SET007+35.ax',dt_k3_numbers) ).
fof(dt_k4_numbers,axiom,
$true,
file('SET007+35.ax',dt_k4_numbers) ).
fof(dt_k5_numbers,axiom,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
file('SET007+35.ax',dt_k5_numbers) ).
fof(redefinition_k5_numbers,axiom,
k5_numbers = k5_ordinal2,
file('SET007+35.ax',redefinition_k5_numbers) ).
fof(d2_numbers,axiom,
k2_numbers = k2_xboole_0(k4_xboole_0(k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers),a_0_0_numbers),k1_numbers),
file('SET007+35.ax',d2_numbers) ).
fof(fraenkel_a_0_0_numbers,axiom,
! [A] :
( r2_hidden(A,a_0_0_numbers)
<=> ? [B] :
( k1_funct_1(B,k13_arytm_3) = np__0
& A = B
& m1_subset_1(B,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) ) ),
file('SET007+35.ax',fraenkel_a_0_0_numbers) ).
fof(cc1_xreal_0,axiom,
! [A] :
( v4_ordinal2(A)
=> v1_xreal_0(A) ),
file('SET007+40.ax',cc1_xreal_0) ).
fof(cc2_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
=> v1_xcmplx_0(A) ),
file('SET007+40.ax',cc2_xreal_0) ).
fof(rc1_xreal_0,axiom,
? [A] :
( v1_xreal_0(A)
& v1_xcmplx_0(A) ),
file('SET007+40.ax',rc1_xreal_0) ).
fof(fc1_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
file('SET007+40.ax',fc1_xreal_0) ).
fof(fc2_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v1_xreal_0(k5_xcmplx_0(A))
& v1_xcmplx_0(k5_xcmplx_0(A)) ) ),
file('SET007+40.ax',fc2_xreal_0) ).
fof(fc3_xreal_0,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> ( v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc3_xreal_0) ).
fof(fc4_xreal_0,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> ( v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc4_xreal_0) ).
fof(fc5_xreal_0,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> ( v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc5_xreal_0) ).
fof(fc6_xreal_0,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> ( v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc6_xreal_0) ).
fof(cc3_xreal_0,axiom,
! [A] :
( ( v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) ) ),
file('SET007+40.ax',cc3_xreal_0) ).
fof(cc4_xreal_0,axiom,
! [A] :
( ( ~ v3_xreal_0(A)
& v1_xreal_0(A)
& ~ v1_xboole_0(A) )
=> ( v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A) ) ),
file('SET007+40.ax',cc4_xreal_0) ).
fof(cc5_xreal_0,axiom,
! [A] :
( ( v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) ) ),
file('SET007+40.ax',cc5_xreal_0) ).
fof(cc6_xreal_0,axiom,
! [A] :
( ( ~ v2_xreal_0(A)
& v1_xreal_0(A)
& ~ v1_xboole_0(A) )
=> ( v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A) ) ),
file('SET007+40.ax',cc6_xreal_0) ).
fof(cc7_xreal_0,axiom,
! [A] :
( ( v1_xreal_0(A)
& v1_xboole_0(A) )
=> ( ~ v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A) ) ),
file('SET007+40.ax',cc7_xreal_0) ).
fof(cc8_xreal_0,axiom,
! [A] :
( ( ~ v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( v1_xreal_0(A)
& v1_xcmplx_0(A)
& v1_xboole_0(A) ) ),
file('SET007+40.ax',cc8_xreal_0) ).
fof(rc2_xreal_0,axiom,
? [A] :
( ~ v3_xreal_0(A)
& v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) ),
file('SET007+40.ax',rc2_xreal_0) ).
fof(rc3_xreal_0,axiom,
? [A] :
( v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) ),
file('SET007+40.ax',rc3_xreal_0) ).
fof(rc4_xreal_0,axiom,
? [A] :
( ~ v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v1_xboole_0(A) ),
file('SET007+40.ax',rc4_xreal_0) ).
fof(fc7_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc7_xreal_0) ).
fof(fc8_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc8_xreal_0) ).
fof(fc9_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k2_xcmplx_0(A,B))
& v2_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B))
& ~ v1_xboole_0(k2_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc9_xreal_0) ).
fof(fc10_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k2_xcmplx_0(B,A))
& v2_xreal_0(k2_xcmplx_0(B,A))
& v1_xreal_0(k2_xcmplx_0(B,A))
& v1_xcmplx_0(k2_xcmplx_0(B,A))
& ~ v1_xboole_0(k2_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc10_xreal_0) ).
fof(fc11_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( v3_xreal_0(k2_xcmplx_0(A,B))
& ~ v2_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B))
& ~ v1_xboole_0(k2_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc11_xreal_0) ).
fof(fc12_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( v3_xreal_0(k2_xcmplx_0(B,A))
& ~ v2_xreal_0(k2_xcmplx_0(B,A))
& v1_xreal_0(k2_xcmplx_0(B,A))
& v1_xcmplx_0(k2_xcmplx_0(B,A))
& ~ v1_xboole_0(k2_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc12_xreal_0) ).
fof(fc13_xreal_0,axiom,
! [A] :
( ( ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
file('SET007+40.ax',fc13_xreal_0) ).
fof(fc14_xreal_0,axiom,
! [A] :
( ( ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
file('SET007+40.ax',fc14_xreal_0) ).
fof(fc15_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc15_xreal_0) ).
fof(fc16_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc16_xreal_0) ).
fof(fc17_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k6_xcmplx_0(A,B))
& v2_xreal_0(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B))
& ~ v1_xboole_0(k6_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc17_xreal_0) ).
fof(fc18_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( v3_xreal_0(k6_xcmplx_0(B,A))
& ~ v2_xreal_0(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A))
& ~ v1_xboole_0(k6_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc18_xreal_0) ).
fof(fc19_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( v3_xreal_0(k6_xcmplx_0(A,B))
& ~ v2_xreal_0(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B))
& ~ v1_xboole_0(k6_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc19_xreal_0) ).
fof(fc20_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k6_xcmplx_0(B,A))
& v2_xreal_0(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A))
& ~ v1_xboole_0(k6_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc20_xreal_0) ).
fof(fc21_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc21_xreal_0) ).
fof(fc22_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k3_xcmplx_0(B,A))
& v1_xreal_0(k3_xcmplx_0(B,A))
& v1_xcmplx_0(k3_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc22_xreal_0) ).
fof(fc23_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc23_xreal_0) ).
fof(fc24_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc24_xreal_0) ).
fof(fc25_xreal_0,axiom,
! [A] :
( ( ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k5_xcmplx_0(A))
& v1_xreal_0(k5_xcmplx_0(A))
& v1_xcmplx_0(k5_xcmplx_0(A)) ) ),
file('SET007+40.ax',fc25_xreal_0) ).
fof(fc26_xreal_0,axiom,
! [A] :
( ( ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k5_xcmplx_0(A))
& v1_xreal_0(k5_xcmplx_0(A))
& v1_xcmplx_0(k5_xcmplx_0(A)) ) ),
file('SET007+40.ax',fc26_xreal_0) ).
fof(fc27_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k7_xcmplx_0(A,B))
& v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc27_xreal_0) ).
fof(fc28_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v2_xreal_0(k7_xcmplx_0(B,A))
& v1_xreal_0(k7_xcmplx_0(B,A))
& v1_xcmplx_0(k7_xcmplx_0(B,A)) ) ),
file('SET007+40.ax',fc28_xreal_0) ).
fof(fc29_xreal_0,axiom,
! [A,B] :
( ( ~ v3_xreal_0(B)
& v1_xreal_0(B)
& ~ v3_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k7_xcmplx_0(A,B))
& v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc29_xreal_0) ).
fof(fc30_xreal_0,axiom,
! [A,B] :
( ( ~ v2_xreal_0(B)
& v1_xreal_0(B)
& ~ v2_xreal_0(A)
& v1_xreal_0(A) )
=> ( ~ v3_xreal_0(k7_xcmplx_0(A,B))
& v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) ) ),
file('SET007+40.ax',fc30_xreal_0) ).
fof(d1_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
<=> r2_hidden(A,k1_numbers) ),
file('SET007+40.ax',d1_xreal_0) ).
fof(d2_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_xreal_0(B)
=> ( ~ ( ~ ( r1_xreal_0(A,B)
<=> ( r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(B,k2_arytm_2) ) )
& ~ ( r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ~ ( r2_hidden(B,k2_arytm_2)
& r2_hidden(A,k2_arytm_2) ) )
& ( ( r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
=> ( r1_xreal_0(A,B)
<=> ? [C] :
( ? [D] :
( r1_arytm_2(D,C)
& B = k4_tarski(np__0,D)
& A = k4_tarski(np__0,C)
& m1_subset_1(D,k2_arytm_2) )
& m1_subset_1(C,k2_arytm_2) ) ) )
& ( ( r2_hidden(B,k2_arytm_2)
& r2_hidden(A,k2_arytm_2) )
=> ( r1_xreal_0(A,B)
<=> ? [C] :
( ? [D] :
( r1_arytm_2(C,D)
& B = D
& A = C
& m1_subset_1(D,k2_arytm_2) )
& m1_subset_1(C,k2_arytm_2) ) ) ) ) ) ),
file('SET007+40.ax',d2_xreal_0) ).
fof(d3_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v2_xreal_0(A)
<=> ~ r1_xreal_0(A,np__0) ) ),
file('SET007+40.ax',d3_xreal_0) ).
fof(d4_xreal_0,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v3_xreal_0(A)
<=> ~ r1_xreal_0(np__0,A) ) ),
file('SET007+40.ax',d4_xreal_0) ).
fof(reflexivity_r1_xreal_0,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> r1_xreal_0(A,A) ),
file('SET007+40.ax',reflexivity_r1_xreal_0) ).
fof(connectedness_r1_xreal_0,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> ( r1_xreal_0(B,A)
| r1_xreal_0(A,B) ) ),
file('SET007+40.ax',connectedness_r1_xreal_0) ).
fof(rc1_int_1,axiom,
? [A] :
( v1_int_1(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& m1_subset_1(A,k1_numbers) ),
file('SET007+48.ax',rc1_int_1) ).
fof(rc2_int_1,axiom,
? [A] : v1_int_1(A),
file('SET007+48.ax',rc2_int_1) ).
fof(cc1_int_1,axiom,
! [A] :
( m1_subset_1(A,k4_numbers)
=> v1_int_1(A) ),
file('SET007+48.ax',cc1_int_1) ).
fof(cc2_int_1,axiom,
! [A] :
( m1_subset_1(A,k5_numbers)
=> ( v1_int_1(A)
& ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v4_ordinal2(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+48.ax',cc2_int_1) ).
fof(cc3_int_1,axiom,
! [A] :
( v4_ordinal2(A)
=> v1_int_1(A) ),
file('SET007+48.ax',cc3_int_1) ).
fof(cc4_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ( v1_xreal_0(A)
& v1_xcmplx_0(A) ) ),
file('SET007+48.ax',cc4_int_1) ).
fof(fc1_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> ( v1_int_1(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',fc1_int_1) ).
fof(fc2_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> ( v1_int_1(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',fc2_int_1) ).
fof(fc3_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ( v1_int_1(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
file('SET007+48.ax',fc3_int_1) ).
fof(fc4_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> ( v1_int_1(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',fc4_int_1) ).
fof(fc5_int_1,axiom,
! [A] :
( m1_subset_1(A,k5_numbers)
=> ( v1_int_1(k4_xcmplx_0(A))
& ~ v2_xreal_0(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
file('SET007+48.ax',fc5_int_1) ).
fof(fc6_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& m1_subset_1(A,k5_numbers) )
=> ( v1_int_1(k2_xcmplx_0(B,A))
& v1_xreal_0(k2_xcmplx_0(B,A))
& v1_xcmplx_0(k2_xcmplx_0(B,A)) ) ),
file('SET007+48.ax',fc6_int_1) ).
fof(fc7_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& m1_subset_1(A,k5_numbers) )
=> ( v1_int_1(k3_xcmplx_0(B,A))
& v1_xreal_0(k3_xcmplx_0(B,A))
& v1_xcmplx_0(k3_xcmplx_0(B,A)) ) ),
file('SET007+48.ax',fc7_int_1) ).
fof(fc8_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& m1_subset_1(A,k5_numbers) )
=> ( v1_int_1(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A)) ) ),
file('SET007+48.ax',fc8_int_1) ).
fof(fc9_int_1,axiom,
! [A,B] :
( ( m1_subset_1(B,k5_numbers)
& m1_subset_1(A,k5_numbers) )
=> ( v1_int_1(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',fc9_int_1) ).
fof(fc10_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v1_xreal_0(k3_int_1(A))
& v1_xcmplx_0(k3_int_1(A)) ) ),
file('SET007+48.ax',fc10_int_1) ).
fof(d1_int_1,axiom,
! [A] :
( A = k4_numbers
<=> ! [B] :
( r2_hidden(B,A)
<=> ~ ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( B != k1_real_1(C)
& B != C ) ) ) ),
file('SET007+48.ax',d1_int_1) ).
fof(d2_int_1,axiom,
! [A] :
( v1_int_1(A)
<=> r2_hidden(A,k4_numbers) ),
file('SET007+48.ax',d2_int_1) ).
fof(t1_int_1,axiom,
$true,
file('SET007+48.ax',t1_int_1) ).
fof(t2_int_1,axiom,
$true,
file('SET007+48.ax',t2_int_1) ).
fof(t3_int_1,axiom,
$true,
file('SET007+48.ax',t3_int_1) ).
fof(t4_int_1,axiom,
$true,
file('SET007+48.ax',t4_int_1) ).
fof(t5_int_1,axiom,
$true,
file('SET007+48.ax',t5_int_1) ).
fof(t6_int_1,axiom,
$true,
file('SET007+48.ax',t6_int_1) ).
fof(t7_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v4_ordinal2(B)
=> ( ( A = k4_xcmplx_0(B)
| A = B )
=> v1_int_1(A) ) ) ),
file('SET007+48.ax',t7_int_1) ).
fof(t8_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ~ ( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( A != k1_real_1(B)
& A != B ) )
& v1_int_1(A) ) ),
file('SET007+48.ax',t8_int_1) ).
fof(t9_int_1,axiom,
$true,
file('SET007+48.ax',t9_int_1) ).
fof(t10_int_1,axiom,
$true,
file('SET007+48.ax',t10_int_1) ).
fof(t11_int_1,axiom,
$true,
file('SET007+48.ax',t11_int_1) ).
fof(t12_int_1,axiom,
$true,
file('SET007+48.ax',t12_int_1) ).
fof(t13_int_1,axiom,
$true,
file('SET007+48.ax',t13_int_1) ).
fof(t14_int_1,axiom,
$true,
file('SET007+48.ax',t14_int_1) ).
fof(t15_int_1,axiom,
$true,
file('SET007+48.ax',t15_int_1) ).
fof(t16_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ( r1_xreal_0(np__0,A)
=> r2_hidden(A,k5_numbers) ) ),
file('SET007+48.ax',t16_int_1) ).
fof(t17_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v1_int_1(A)
=> ( v1_int_1(k6_xcmplx_0(A,np__1))
& v1_int_1(k2_xcmplx_0(A,np__1)) ) ) ),
file('SET007+48.ax',t17_int_1) ).
fof(t18_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( r1_xreal_0(A,B)
=> r2_hidden(k6_xcmplx_0(B,A),k5_numbers) ) ) ),
file('SET007+48.ax',t18_int_1) ).
fof(t19_int_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( k2_xcmplx_0(B,A) = C
=> r1_xreal_0(B,C) ) ) ) ),
file('SET007+48.ax',t19_int_1) ).
fof(t20_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( ~ r1_xreal_0(B,A)
=> r1_xreal_0(k2_xcmplx_0(A,np__1),B) ) ) ),
file('SET007+48.ax',t20_int_1) ).
fof(t21_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ( ~ r1_xreal_0(np__0,A)
=> r1_xreal_0(A,k1_real_1(np__1)) ) ),
file('SET007+48.ax',t21_int_1) ).
fof(t22_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( k3_xcmplx_0(A,B) = np__1
<=> ( ( B = k1_real_1(np__1)
& A = k1_real_1(np__1) )
| ( B = np__1
& A = np__1 ) ) ) ) ),
file('SET007+48.ax',t22_int_1) ).
fof(t23_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( k3_xcmplx_0(A,B) = k1_real_1(np__1)
<=> ( ( B = k1_real_1(np__1)
& A = np__1 )
| ( B = np__1
& A = k1_real_1(np__1) ) ) ) ) ),
file('SET007+48.ax',t23_int_1) ).
fof(d3_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( r1_int_1(A,B,C)
<=> ? [D] :
( k3_xcmplx_0(C,D) = k6_xcmplx_0(A,B)
& v1_int_1(D) ) ) ) ) ),
file('SET007+48.ax',d3_int_1) ).
fof(t24_int_1,axiom,
$true,
file('SET007+48.ax',t24_int_1) ).
fof(t25_int_1,axiom,
$true,
file('SET007+48.ax',t25_int_1) ).
fof(t26_int_1,axiom,
$true,
file('SET007+48.ax',t26_int_1) ).
fof(t27_int_1,axiom,
$true,
file('SET007+48.ax',t27_int_1) ).
fof(t28_int_1,axiom,
$true,
file('SET007+48.ax',t28_int_1) ).
fof(t29_int_1,axiom,
$true,
file('SET007+48.ax',t29_int_1) ).
fof(t30_int_1,axiom,
$true,
file('SET007+48.ax',t30_int_1) ).
fof(t31_int_1,axiom,
$true,
file('SET007+48.ax',t31_int_1) ).
fof(t32_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> r1_int_1(A,A,B) ) ),
file('SET007+48.ax',t32_int_1) ).
fof(t33_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ( r1_int_1(np__0,A,A)
& r1_int_1(A,np__0,A) ) ),
file('SET007+48.ax',t33_int_1) ).
fof(t34_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> r1_int_1(A,B,np__1) ) ),
file('SET007+48.ax',t34_int_1) ).
fof(t35_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( r1_int_1(A,B,C)
=> r1_int_1(B,A,C) ) ) ) ),
file('SET007+48.ax',t35_int_1) ).
fof(t36_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ! [D] :
( v1_int_1(D)
=> ( ( r1_int_1(B,D,C)
& r1_int_1(A,B,C) )
=> r1_int_1(A,D,C) ) ) ) ) ),
file('SET007+48.ax',t36_int_1) ).
fof(t37_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ! [D] :
( v1_int_1(D)
=> ! [E] :
( v1_int_1(E)
=> ( ( r1_int_1(D,E,C)
& r1_int_1(A,B,C) )
=> r1_int_1(k2_xcmplx_0(A,D),k2_xcmplx_0(B,E),C) ) ) ) ) ) ),
file('SET007+48.ax',t37_int_1) ).
fof(t38_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ! [D] :
( v1_int_1(D)
=> ! [E] :
( v1_int_1(E)
=> ( ( r1_int_1(D,E,C)
& r1_int_1(A,B,C) )
=> r1_int_1(k6_xcmplx_0(A,D),k6_xcmplx_0(B,E),C) ) ) ) ) ) ),
file('SET007+48.ax',t38_int_1) ).
fof(t39_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ! [D] :
( v1_int_1(D)
=> ! [E] :
( v1_int_1(E)
=> ( ( r1_int_1(D,E,C)
& r1_int_1(A,B,C) )
=> r1_int_1(k3_xcmplx_0(A,D),k3_xcmplx_0(B,E),C) ) ) ) ) ) ),
file('SET007+48.ax',t39_int_1) ).
fof(t40_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ! [D] :
( v1_int_1(D)
=> ( r1_int_1(k2_xcmplx_0(A,B),C,D)
<=> r1_int_1(A,k6_xcmplx_0(C,B),D) ) ) ) ) ),
file('SET007+48.ax',t40_int_1) ).
fof(t41_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ! [D] :
( v1_int_1(D)
=> ! [E] :
( v1_int_1(E)
=> ( ( r1_int_1(D,E,C)
& k3_xcmplx_0(A,B) = C )
=> r1_int_1(D,E,A) ) ) ) ) ) ),
file('SET007+48.ax',t41_int_1) ).
fof(t42_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( r1_int_1(A,B,C)
<=> r1_int_1(k2_xcmplx_0(A,C),B,C) ) ) ) ),
file('SET007+48.ax',t42_int_1) ).
fof(t43_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( r1_int_1(A,B,C)
<=> r1_int_1(k6_xcmplx_0(A,C),B,C) ) ) ) ),
file('SET007+48.ax',t43_int_1) ).
fof(t44_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( ( r1_xreal_0(C,A)
& r1_xreal_0(B,A) )
=> ( B = C
| r1_xreal_0(C,k6_xcmplx_0(A,np__1))
| r1_xreal_0(B,k6_xcmplx_0(A,np__1)) ) ) ) ) ),
file('SET007+48.ax',t44_int_1) ).
fof(t45_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( v1_int_1(C)
=> ( ( r1_xreal_0(A,C)
& r1_xreal_0(A,B) )
=> ( B = C
| r1_xreal_0(k2_xcmplx_0(A,np__1),C)
| r1_xreal_0(k2_xcmplx_0(A,np__1),B) ) ) ) ) ),
file('SET007+48.ax',t45_int_1) ).
fof(d4_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_int_1(B)
=> ( B = k1_int_1(A)
<=> ( ~ r1_xreal_0(B,k6_xcmplx_0(A,np__1))
& r1_xreal_0(B,A) ) ) ) ),
file('SET007+48.ax',d4_int_1) ).
fof(t46_int_1,axiom,
$true,
file('SET007+48.ax',t46_int_1) ).
fof(t47_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( k1_int_1(A) = A
<=> v1_int_1(A) ) ),
file('SET007+48.ax',t47_int_1) ).
fof(t48_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( ~ ( r1_xreal_0(A,k1_int_1(A))
& ~ v1_int_1(A) )
& ~ ( v1_int_1(A)
& ~ r1_xreal_0(A,k1_int_1(A)) ) ) ),
file('SET007+48.ax',t48_int_1) ).
fof(t49_int_1,axiom,
$true,
file('SET007+48.ax',t49_int_1) ).
fof(t50_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( ~ r1_xreal_0(k2_xcmplx_0(A,np__1),k1_int_1(A))
& ~ r1_xreal_0(A,k6_xcmplx_0(k1_int_1(A),np__1)) ) ),
file('SET007+48.ax',t50_int_1) ).
fof(t51_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_int_1(B)
=> k2_xcmplx_0(k1_int_1(A),B) = k1_int_1(k2_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',t51_int_1) ).
fof(t52_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ~ r1_xreal_0(k2_xcmplx_0(k1_int_1(A),np__1),A) ),
file('SET007+48.ax',t52_int_1) ).
fof(d5_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_int_1(B)
=> ( B = k2_int_1(A)
<=> ( ~ r1_xreal_0(k2_xcmplx_0(A,np__1),B)
& r1_xreal_0(A,B) ) ) ) ),
file('SET007+48.ax',d5_int_1) ).
fof(t53_int_1,axiom,
$true,
file('SET007+48.ax',t53_int_1) ).
fof(t54_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( k2_int_1(A) = A
<=> v1_int_1(A) ) ),
file('SET007+48.ax',t54_int_1) ).
fof(t55_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( ~ ( r1_xreal_0(k2_int_1(A),A)
& ~ v1_int_1(A) )
& ~ ( v1_int_1(A)
& ~ r1_xreal_0(k2_int_1(A),A) ) ) ),
file('SET007+48.ax',t55_int_1) ).
fof(t56_int_1,axiom,
$true,
file('SET007+48.ax',t56_int_1) ).
fof(t57_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( ~ r1_xreal_0(k2_xcmplx_0(k2_int_1(A),np__1),A)
& ~ r1_xreal_0(k2_int_1(A),k6_xcmplx_0(A,np__1)) ) ),
file('SET007+48.ax',t57_int_1) ).
fof(t58_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ! [B] :
( v1_int_1(B)
=> k2_xcmplx_0(k2_int_1(A),B) = k2_int_1(k2_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',t58_int_1) ).
fof(t59_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( k1_int_1(A) = k2_int_1(A)
<=> v1_int_1(A) ) ),
file('SET007+48.ax',t59_int_1) ).
fof(t60_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( ~ ( r1_xreal_0(k2_int_1(A),k1_int_1(A))
& ~ v1_int_1(A) )
& ~ ( v1_int_1(A)
& ~ r1_xreal_0(k2_int_1(A),k1_int_1(A)) ) ) ),
file('SET007+48.ax',t60_int_1) ).
fof(t61_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> r1_xreal_0(k1_int_1(A),k2_int_1(A)) ),
file('SET007+48.ax',t61_int_1) ).
fof(t62_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k1_int_1(k2_int_1(A)) = k2_int_1(A) ),
file('SET007+48.ax',t62_int_1) ).
fof(t63_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k1_int_1(k1_int_1(A)) = k1_int_1(A) ),
file('SET007+48.ax',t63_int_1) ).
fof(t64_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k2_int_1(k2_int_1(A)) = k2_int_1(A) ),
file('SET007+48.ax',t64_int_1) ).
fof(t65_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k2_int_1(k1_int_1(A)) = k1_int_1(A) ),
file('SET007+48.ax',t65_int_1) ).
fof(t66_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( k1_int_1(A) = k2_int_1(A)
<=> k2_xcmplx_0(k1_int_1(A),np__1) != k2_int_1(A) ) ),
file('SET007+48.ax',t66_int_1) ).
fof(d6_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k3_int_1(A) = k6_xcmplx_0(A,k1_int_1(A)) ),
file('SET007+48.ax',d6_int_1) ).
fof(t67_int_1,axiom,
$true,
file('SET007+48.ax',t67_int_1) ).
fof(t68_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> A = k2_xcmplx_0(k1_int_1(A),k4_int_1(A)) ),
file('SET007+48.ax',t68_int_1) ).
fof(t69_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( r1_xreal_0(np__0,k4_int_1(A))
& ~ r1_xreal_0(np__1,k4_int_1(A)) ) ),
file('SET007+48.ax',t69_int_1) ).
fof(t70_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k1_int_1(k4_int_1(A)) = np__0 ),
file('SET007+48.ax',t70_int_1) ).
fof(t71_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( k4_int_1(A) = np__0
<=> v1_int_1(A) ) ),
file('SET007+48.ax',t71_int_1) ).
fof(t72_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( ~ ( r1_xreal_0(k4_int_1(A),np__0)
& ~ v1_int_1(A) )
& ~ ( v1_int_1(A)
& ~ r1_xreal_0(k4_int_1(A),np__0) ) ) ),
file('SET007+48.ax',t72_int_1) ).
fof(d7_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> k5_int_1(A,B) = k1_int_1(k7_xcmplx_0(A,B)) ) ),
file('SET007+48.ax',d7_int_1) ).
fof(d8_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( ( B = np__0
=> k6_int_1(A,B) = np__0 )
& ( B != np__0
=> k6_int_1(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k5_int_1(A,B),B)) ) ) ) ),
file('SET007+48.ax',d8_int_1) ).
fof(d9_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( r2_int_1(A,B)
<=> ? [C] :
( B = k3_xcmplx_0(A,C)
& v1_int_1(C) ) ) ) ),
file('SET007+48.ax',d9_int_1) ).
fof(t73_int_1,axiom,
$true,
file('SET007+48.ax',t73_int_1) ).
fof(t74_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( A != np__0
=> k1_int_1(k7_xcmplx_0(A,A)) = np__1 ) ),
file('SET007+48.ax',t74_int_1) ).
fof(t75_int_1,axiom,
! [A] :
( v1_int_1(A)
=> k5_int_1(A,np__0) = np__0 ),
file('SET007+48.ax',t75_int_1) ).
fof(t76_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ( A != np__0
=> k5_int_1(A,A) = np__1 ) ),
file('SET007+48.ax',t76_int_1) ).
fof(t77_int_1,axiom,
! [A] :
( v1_int_1(A)
=> k6_int_1(A,A) = np__0 ),
file('SET007+48.ax',t77_int_1) ).
fof(t78_int_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ~ ( ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,C)
& C = k6_xcmplx_0(B,A) ) )
& ~ r1_xreal_0(B,A) ) ) ),
file('SET007+48.ax',t78_int_1) ).
fof(t79_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ( ~ r1_xreal_0(B,A)
=> r1_xreal_0(A,k6_xcmplx_0(B,np__1)) ) ) ),
file('SET007+48.ax',t79_int_1) ).
fof(t80_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> ( r1_xreal_0(np__0,A)
=> ( m2_subset_1(k1_int_1(A),k1_numbers,k5_numbers)
& m2_subset_1(k2_int_1(A),k1_numbers,k5_numbers)
& r1_xreal_0(np__0,k1_int_1(A))
& r1_xreal_0(np__0,k2_int_1(A)) ) ) ),
file('SET007+48.ax',t80_int_1) ).
fof(t81_int_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_xreal_0(B)
=> ( r1_xreal_0(A,B)
=> r1_xreal_0(A,k1_int_1(B)) ) ) ),
file('SET007+48.ax',t81_int_1) ).
fof(t82_int_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> r1_xreal_0(np__0,k5_int_1(A,B)) ) ),
file('SET007+48.ax',t82_int_1) ).
fof(s1_int_1,axiom,
? [A] :
( ! [B] :
( v1_int_1(B)
=> ( r2_hidden(B,A)
<=> p1_s1_int_1(B) ) )
& m1_subset_1(A,k1_zfmisc_1(k4_numbers)) ),
file('SET007+48.ax',s1_int_1) ).
fof(s2_int_1,axiom,
( ( ! [A] :
( v1_int_1(A)
=> ( ( p1_s2_int_1(A)
& r1_xreal_0(f1_s2_int_1,A) )
=> p1_s2_int_1(k2_xcmplx_0(A,np__1)) ) )
& p1_s2_int_1(f1_s2_int_1) )
=> ! [A] :
( v1_int_1(A)
=> ( r1_xreal_0(f1_s2_int_1,A)
=> p1_s2_int_1(A) ) ) ),
file('SET007+48.ax',s2_int_1) ).
fof(s3_int_1,axiom,
( ( ! [A] :
( v1_int_1(A)
=> ( ( p1_s3_int_1(A)
& r1_xreal_0(A,f1_s3_int_1) )
=> p1_s3_int_1(k6_xcmplx_0(A,np__1)) ) )
& p1_s3_int_1(f1_s3_int_1) )
=> ! [A] :
( v1_int_1(A)
=> ( r1_xreal_0(A,f1_s3_int_1)
=> p1_s3_int_1(A) ) ) ),
file('SET007+48.ax',s3_int_1) ).
fof(s4_int_1,axiom,
( ( ! [A] :
( v1_int_1(A)
=> ( p1_s4_int_1(A)
=> ( p1_s4_int_1(k2_xcmplx_0(A,np__1))
& p1_s4_int_1(k6_xcmplx_0(A,np__1)) ) ) )
& p1_s4_int_1(f1_s4_int_1) )
=> ! [A] :
( v1_int_1(A)
=> p1_s4_int_1(A) ) ),
file('SET007+48.ax',s4_int_1) ).
fof(s5_int_1,axiom,
( ( ? [A] :
( p1_s5_int_1(A)
& v1_int_1(A) )
& ! [A] :
( v1_int_1(A)
=> ( p1_s5_int_1(A)
=> r1_xreal_0(f1_s5_int_1,A) ) ) )
=> ? [A] :
( ! [B] :
( v1_int_1(B)
=> ( p1_s5_int_1(B)
=> r1_xreal_0(A,B) ) )
& p1_s5_int_1(A)
& v1_int_1(A) ) ),
file('SET007+48.ax',s5_int_1) ).
fof(s6_int_1,axiom,
( ( ? [A] :
( p1_s6_int_1(A)
& v1_int_1(A) )
& ! [A] :
( v1_int_1(A)
=> ( p1_s6_int_1(A)
=> r1_xreal_0(A,f1_s6_int_1) ) ) )
=> ? [A] :
( ! [B] :
( v1_int_1(B)
=> ( p1_s6_int_1(B)
=> r1_xreal_0(B,A) ) )
& p1_s6_int_1(A)
& v1_int_1(A) ) ),
file('SET007+48.ax',s6_int_1) ).
fof(reflexivity_r2_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> r2_int_1(A,A) ),
file('SET007+48.ax',reflexivity_r2_int_1) ).
fof(dt_k1_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> v1_int_1(k1_int_1(A)) ),
file('SET007+48.ax',dt_k1_int_1) ).
fof(dt_k2_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> v1_int_1(k2_int_1(A)) ),
file('SET007+48.ax',dt_k2_int_1) ).
fof(dt_k3_int_1,axiom,
$true,
file('SET007+48.ax',dt_k3_int_1) ).
fof(dt_k4_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> m1_subset_1(k4_int_1(A),k1_numbers) ),
file('SET007+48.ax',dt_k4_int_1) ).
fof(redefinition_k4_int_1,axiom,
! [A] :
( v1_xreal_0(A)
=> k4_int_1(A) = k3_int_1(A) ),
file('SET007+48.ax',redefinition_k4_int_1) ).
fof(dt_k5_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> v1_int_1(k5_int_1(A,B)) ),
file('SET007+48.ax',dt_k5_int_1) ).
fof(dt_k6_int_1,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> v1_int_1(k6_int_1(A,B)) ),
file('SET007+48.ax',dt_k6_int_1) ).
fof(rc1_card_1,axiom,
? [A] : v1_card_1(A),
file('SET007+54.ax',rc1_card_1) ).
fof(cc1_card_1,axiom,
! [A] :
( v1_card_1(A)
=> ( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+54.ax',cc1_card_1) ).
fof(fc1_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( v1_card_1(k3_card_1(A))
& v3_ordinal1(k3_card_1(A))
& v2_ordinal1(k3_card_1(A))
& v1_ordinal1(k3_card_1(A)) ) ),
file('SET007+54.ax',fc1_card_1) ).
fof(cc2_card_1,axiom,
! [A] :
( m1_subset_1(A,k5_numbers)
=> ( v1_card_1(A)
& ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v4_ordinal2(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+54.ax',cc2_card_1) ).
fof(cc3_card_1,axiom,
! [A] :
( m1_subset_1(A,k5_numbers)
=> ( v1_card_1(A)
& ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_finset_1(A)
& v1_xcmplx_0(A)
& v4_ordinal2(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ) ),
file('SET007+54.ax',cc3_card_1) ).
fof(rc2_card_1,axiom,
? [A] :
( v1_card_1(A)
& v1_finset_1(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ),
file('SET007+54.ax',rc2_card_1) ).
fof(fc2_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> ( v1_card_1(k1_card_1(A))
& v1_finset_1(k1_card_1(A))
& v3_ordinal1(k1_card_1(A))
& v2_ordinal1(k1_card_1(A))
& v1_ordinal1(k1_card_1(A)) ) ),
file('SET007+54.ax',fc2_card_1) ).
fof(d1_card_1,axiom,
! [A] :
( v1_card_1(A)
<=> ? [B] :
( ! [C] :
( v3_ordinal1(C)
=> ( r2_wellord2(C,B)
=> r1_ordinal1(B,C) ) )
& A = B
& v3_ordinal1(B) ) ),
file('SET007+54.ax',d1_card_1) ).
fof(t1_card_1,axiom,
$true,
file('SET007+54.ax',t1_card_1) ).
fof(t2_card_1,axiom,
$true,
file('SET007+54.ax',t2_card_1) ).
fof(t3_card_1,axiom,
$true,
file('SET007+54.ax',t3_card_1) ).
fof(t4_card_1,axiom,
! [A] :
? [B] :
( r2_wellord2(A,B)
& v3_ordinal1(B) ),
file('SET007+54.ax',t4_card_1) ).
fof(t5_card_1,axiom,
$true,
file('SET007+54.ax',t5_card_1) ).
fof(t6_card_1,axiom,
$true,
file('SET007+54.ax',t6_card_1) ).
fof(t7_card_1,axiom,
$true,
file('SET007+54.ax',t7_card_1) ).
fof(t8_card_1,axiom,
! [A] :
( v1_card_1(A)
=> ! [B] :
( v1_card_1(B)
=> ( A = B
<=> r2_wellord2(A,B) ) ) ),
file('SET007+54.ax',t8_card_1) ).
fof(t9_card_1,axiom,
$true,
file('SET007+54.ax',t9_card_1) ).
fof(t10_card_1,axiom,
$true,
file('SET007+54.ax',t10_card_1) ).
fof(t11_card_1,axiom,
$true,
file('SET007+54.ax',t11_card_1) ).
fof(t12_card_1,axiom,
$true,
file('SET007+54.ax',t12_card_1) ).
fof(t13_card_1,axiom,
! [A] :
( v1_card_1(A)
=> ! [B] :
( v1_card_1(B)
=> ( r2_hidden(A,B)
<=> ( A != B
& r1_tarski(A,B) ) ) ) ),
file('SET007+54.ax',t13_card_1) ).
fof(t14_card_1,axiom,
! [A] :
( v1_card_1(A)
=> ! [B] :
( v1_card_1(B)
=> ( r2_hidden(A,B)
<=> ~ r1_tarski(B,A) ) ) ),
file('SET007+54.ax',t14_card_1) ).
fof(d2_card_1,axiom,
$true,
file('SET007+54.ax',d2_card_1) ).
fof(d3_card_1,axiom,
$true,
file('SET007+54.ax',d3_card_1) ).
fof(d4_card_1,axiom,
$true,
file('SET007+54.ax',d4_card_1) ).
fof(d5_card_1,axiom,
! [A,B] :
( v1_card_1(B)
=> ( B = k1_card_1(A)
<=> r2_wellord2(A,B) ) ),
file('SET007+54.ax',d5_card_1) ).
fof(t15_card_1,axiom,
$true,
file('SET007+54.ax',t15_card_1) ).
fof(t16_card_1,axiom,
$true,
file('SET007+54.ax',t16_card_1) ).
fof(t17_card_1,axiom,
$true,
file('SET007+54.ax',t17_card_1) ).
fof(t18_card_1,axiom,
$true,
file('SET007+54.ax',t18_card_1) ).
fof(t19_card_1,axiom,
$true,
file('SET007+54.ax',t19_card_1) ).
fof(t20_card_1,axiom,
$true,
file('SET007+54.ax',t20_card_1) ).
fof(t21_card_1,axiom,
! [A,B] :
( r2_wellord2(A,B)
<=> k1_card_1(A) = k1_card_1(B) ),
file('SET007+54.ax',t21_card_1) ).
fof(t22_card_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( v2_wellord1(A)
=> r2_wellord2(k3_relat_1(A),k2_wellord2(A)) ) ),
file('SET007+54.ax',t22_card_1) ).
fof(t23_card_1,axiom,
! [A,B] :
( v1_card_1(B)
=> ( r1_tarski(A,B)
=> r1_tarski(k1_card_1(A),B) ) ),
file('SET007+54.ax',t23_card_1) ).
fof(t24_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> r1_ordinal1(k1_card_1(A),A) ),
file('SET007+54.ax',t24_card_1) ).
fof(t25_card_1,axiom,
! [A,B] :
( v1_card_1(B)
=> ( r2_hidden(A,B)
=> r2_hidden(k1_card_1(A),B) ) ),
file('SET007+54.ax',t25_card_1) ).
fof(t26_card_1,axiom,
! [A,B] :
( r1_tarski(k1_card_1(A),k1_card_1(B))
<=> ? [C] :
( r1_tarski(k2_relat_1(C),B)
& k1_relat_1(C) = A
& v2_funct_1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ),
file('SET007+54.ax',t26_card_1) ).
fof(t27_card_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_tarski(k1_card_1(A),k1_card_1(B)) ),
file('SET007+54.ax',t27_card_1) ).
fof(t28_card_1,axiom,
! [A,B] :
( r1_tarski(k1_card_1(A),k1_card_1(B))
<=> ? [C] :
( r1_tarski(A,k2_relat_1(C))
& k1_relat_1(C) = B
& v1_funct_1(C)
& v1_relat_1(C) ) ),
file('SET007+54.ax',t28_card_1) ).
fof(t29_card_1,axiom,
! [A] : ~ r2_wellord2(A,k1_zfmisc_1(A)),
file('SET007+54.ax',t29_card_1) ).
fof(t30_card_1,axiom,
! [A] : r2_hidden(k1_card_1(A),k1_card_1(k1_zfmisc_1(A))),
file('SET007+54.ax',t30_card_1) ).
fof(d6_card_1,axiom,
! [A,B] :
( v1_card_1(B)
=> ( B = k2_card_1(A)
<=> ( ! [C] :
( v1_card_1(C)
=> ( r2_hidden(k1_card_1(A),C)
=> r1_tarski(B,C) ) )
& r2_hidden(k1_card_1(A),B) ) ) ),
file('SET007+54.ax',d6_card_1) ).
fof(t31_card_1,axiom,
$true,
file('SET007+54.ax',t31_card_1) ).
fof(t32_card_1,axiom,
! [A] :
( v1_card_1(A)
=> r2_hidden(A,k2_card_1(A)) ),
file('SET007+54.ax',t32_card_1) ).
fof(t33_card_1,axiom,
! [A] : r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A)),
file('SET007+54.ax',t33_card_1) ).
fof(t34_card_1,axiom,
! [A,B] :
( k1_card_1(A) = k1_card_1(B)
=> k2_card_1(A) = k2_card_1(B) ),
file('SET007+54.ax',t34_card_1) ).
fof(t35_card_1,axiom,
! [A,B] :
( r2_wellord2(A,B)
=> k2_card_1(A) = k2_card_1(B) ),
file('SET007+54.ax',t35_card_1) ).
fof(t36_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> r2_hidden(A,k2_card_1(A)) ),
file('SET007+54.ax',t36_card_1) ).
fof(d7_card_1,axiom,
! [A] :
( v1_card_1(A)
=> ( v2_card_1(A)
<=> ! [B] :
( v1_card_1(B)
=> A != k2_card_1(B) ) ) ),
file('SET007+54.ax',d7_card_1) ).
fof(d8_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( B = k3_card_1(A)
<=> ? [C] :
( ! [D] :
( v3_ordinal1(D)
=> ( ( v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A)) )
=> ( k1_funct_1(C,D) = k1_card_1(k8_ordinal2(k2_ordinal1(C,D)))
| D = k1_xboole_0 ) ) )
& ! [D] :
( v3_ordinal1(D)
=> ( r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
=> k1_funct_1(C,k1_ordinal1(D)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(C,D)))) ) )
& k1_funct_1(C,k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ) ),
file('SET007+54.ax',d8_card_1) ).
fof(t37_card_1,axiom,
$true,
file('SET007+54.ax',t37_card_1) ).
fof(t38_card_1,axiom,
k3_card_1(np__0) = k1_card_1(k5_numbers),
file('SET007+54.ax',t38_card_1) ).
fof(t39_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> k3_card_1(k1_ordinal1(A)) = k2_card_1(k3_card_1(A)) ),
file('SET007+54.ax',t39_card_1) ).
fof(t40_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> ( v4_ordinal1(A)
=> ( ! [B] :
( ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( ! [C] :
( v3_ordinal1(C)
=> ( r2_hidden(C,A)
=> k1_funct_1(B,C) = k3_card_1(C) ) )
& k1_relat_1(B) = A )
=> k3_card_1(A) = k1_card_1(k8_ordinal2(B)) ) )
| A = k1_xboole_0 ) ) ),
file('SET007+54.ax',t40_card_1) ).
fof(t41_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r2_hidden(A,B)
<=> r2_hidden(k3_card_1(A),k3_card_1(B)) ) ) ),
file('SET007+54.ax',t41_card_1) ).
fof(t42_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( k3_card_1(A) = k3_card_1(B)
=> A = B ) ) ),
file('SET007+54.ax',t42_card_1) ).
fof(t43_card_1,axiom,
! [A] :
( v3_ordinal1(A)
=> ! [B] :
( v3_ordinal1(B)
=> ( r1_ordinal1(A,B)
<=> r1_tarski(k3_card_1(A),k3_card_1(B)) ) ) ),
file('SET007+54.ax',t43_card_1) ).
fof(t44_card_1,axiom,
! [A,B,C] :
( ( r2_wellord2(A,C)
& r1_tarski(B,C)
& r1_tarski(A,B) )
=> ( r2_wellord2(B,C)
& r2_wellord2(A,B) ) ),
file('SET007+54.ax',t44_card_1) ).
fof(t45_card_1,axiom,
! [A,B] :
( r1_tarski(k1_zfmisc_1(A),B)
=> ( ~ r2_wellord2(A,B)
& r2_hidden(k1_card_1(A),k1_card_1(B)) ) ),
file('SET007+54.ax',t45_card_1) ).
fof(t46_card_1,axiom,
! [A] :
( r2_wellord2(A,k1_xboole_0)
<=> A = k1_xboole_0 ),
file('SET007+54.ax',t46_card_1) ).
fof(t47_card_1,axiom,
k1_card_1(k1_xboole_0) = k1_xboole_0,
file('SET007+54.ax',t47_card_1) ).
fof(t48_card_1,axiom,
! [A,B] :
( r2_wellord2(A,k1_tarski(B))
<=> ? [C] : A = k1_tarski(C) ),
file('SET007+54.ax',t48_card_1) ).
fof(t49_card_1,axiom,
! [A,B] :
( k1_card_1(A) = k1_card_1(k1_tarski(B))
<=> ? [C] : A = k1_tarski(C) ),
file('SET007+54.ax',t49_card_1) ).
fof(t50_card_1,axiom,
! [A] : k1_card_1(k1_tarski(A)) = k4_ordinal2,
file('SET007+54.ax',t50_card_1) ).
fof(t51_card_1,axiom,
np__0 = k1_xboole_0,
file('SET007+54.ax',t51_card_1) ).
fof(t52_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> k1_ordinal1(A) = k1_nat_1(A,np__1) ),
file('SET007+54.ax',t52_card_1) ).
fof(t53_card_1,axiom,
$true,
file('SET007+54.ax',t53_card_1) ).
fof(t54_card_1,axiom,
$true,
file('SET007+54.ax',t54_card_1) ).
fof(t55_card_1,axiom,
$true,
file('SET007+54.ax',t55_card_1) ).
fof(t56_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r1_xreal_0(A,B)
<=> r1_ordinal1(A,B) ) ) ),
file('SET007+54.ax',t56_card_1) ).
fof(t57_card_1,axiom,
$true,
file('SET007+54.ax',t57_card_1) ).
fof(t58_card_1,axiom,
! [A,B,C,D] :
( ( r2_wellord2(B,D)
& r2_wellord2(A,C)
& r1_xboole_0(C,D)
& r1_xboole_0(A,B) )
=> r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D)) ),
file('SET007+54.ax',t58_card_1) ).
fof(t59_card_1,axiom,
! [A,B,C] :
( ( r2_hidden(C,B)
& r2_hidden(A,B) )
=> r2_wellord2(k4_xboole_0(B,k1_tarski(A)),k4_xboole_0(B,k1_tarski(C))) ),
file('SET007+54.ax',t59_card_1) ).
fof(t60_card_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( v2_funct_1(B)
& r1_tarski(A,k1_relat_1(B)) )
=> r2_wellord2(A,k9_relat_1(B,A)) ) ),
file('SET007+54.ax',t60_card_1) ).
fof(t61_card_1,axiom,
! [A,B,C,D] :
( ( r2_hidden(D,B)
& r2_hidden(C,A)
& r2_wellord2(A,B) )
=> r2_wellord2(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(B,k1_tarski(D))) ),
file('SET007+54.ax',t61_card_1) ).
fof(t62_card_1,axiom,
$true,
file('SET007+54.ax',t62_card_1) ).
fof(t63_card_1,axiom,
$true,
file('SET007+54.ax',t63_card_1) ).
fof(t64_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_wellord2(A,B)
=> A = B ) ) ),
file('SET007+54.ax',t64_card_1) ).
fof(t65_card_1,axiom,
! [A] :
( r2_hidden(A,k5_ordinal2)
=> v1_card_1(A) ),
file('SET007+54.ax',t65_card_1) ).
fof(t66_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> A = k1_card_1(A) ),
file('SET007+54.ax',t66_card_1) ).
fof(t67_card_1,axiom,
$true,
file('SET007+54.ax',t67_card_1) ).
fof(t68_card_1,axiom,
! [A,B] :
( ( v1_finset_1(A)
& r2_wellord2(A,B) )
=> v1_finset_1(B) ),
file('SET007+54.ax',t68_card_1) ).
fof(t69_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ( v1_finset_1(k1_card_1(A))
& v1_finset_1(A) ) ),
file('SET007+54.ax',t69_card_1) ).
fof(t70_card_1,axiom,
$true,
file('SET007+54.ax',t70_card_1) ).
fof(t71_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( k1_card_1(A) = k1_card_1(B)
=> A = B ) ) ),
file('SET007+54.ax',t71_card_1) ).
fof(t72_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r1_tarski(k1_card_1(A),k1_card_1(B))
<=> r1_xreal_0(A,B) ) ) ),
file('SET007+54.ax',t72_card_1) ).
fof(t73_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_hidden(k1_card_1(A),k1_card_1(B))
<=> ~ r1_xreal_0(B,A) ) ) ),
file('SET007+54.ax',t73_card_1) ).
fof(t74_card_1,axiom,
! [A] :
~ ( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ~ r2_wellord2(A,B) )
& v1_finset_1(A) ),
file('SET007+54.ax',t74_card_1) ).
fof(t75_card_1,axiom,
$true,
file('SET007+54.ax',t75_card_1) ).
fof(t76_card_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> k2_card_1(k1_card_1(A)) = k1_card_1(k1_nat_1(A,np__1)) ),
file('SET007+54.ax',t76_card_1) ).
fof(d9_card_1,axiom,
$true,
file('SET007+54.ax',d9_card_1) ).
fof(d10_card_1,axiom,
$true,
file('SET007+54.ax',d10_card_1) ).
fof(d11_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k4_card_1(A)
<=> k1_card_1(B) = k1_card_1(A) ) ) ),
file('SET007+54.ax',d11_card_1) ).
fof(t77_card_1,axiom,
$true,
file('SET007+54.ax',t77_card_1) ).
fof(t78_card_1,axiom,
k4_card_1(k1_xboole_0) = np__0,
file('SET007+54.ax',t78_card_1) ).
fof(t79_card_1,axiom,
! [A] : k4_card_1(k1_tarski(A)) = np__1,
file('SET007+54.ax',t79_card_1) ).
fof(t80_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( v1_finset_1(B)
=> ( r1_tarski(A,B)
=> r1_xreal_0(k4_card_1(A),k4_card_1(B)) ) ) ),
file('SET007+54.ax',t80_card_1) ).
fof(t81_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( v1_finset_1(B)
=> ( r2_wellord2(A,B)
=> k4_card_1(A) = k4_card_1(B) ) ) ),
file('SET007+54.ax',t81_card_1) ).
fof(t82_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> v1_finset_1(k2_card_1(A)) ),
file('SET007+54.ax',t82_card_1) ).
fof(t83_card_1,axiom,
k3_card_1(np__0) = k5_ordinal2,
file('SET007+54.ax',t83_card_1) ).
fof(t84_card_1,axiom,
k1_card_1(k5_ordinal2) = k5_ordinal2,
file('SET007+54.ax',t84_card_1) ).
fof(t85_card_1,axiom,
v2_card_1(k1_card_1(k5_ordinal2)),
file('SET007+54.ax',t85_card_1) ).
fof(t86_card_1,axiom,
! [A] :
( ( v1_card_1(A)
& v1_finset_1(A) )
=> ? [B] :
( A = k1_card_1(B)
& m2_subset_1(B,k1_numbers,k5_numbers) ) ),
file('SET007+54.ax',t86_card_1) ).
fof(s1_card_1,axiom,
( ( ! [A] :
( v1_card_1(A)
=> ( ( ! [B] :
( v1_card_1(B)
=> ( r2_hidden(B,A)
=> p1_s1_card_1(B) ) )
& v2_card_1(A) )
=> ( p1_s1_card_1(A)
| A = k1_xboole_0 ) ) )
& ! [A] :
( v1_card_1(A)
=> ( p1_s1_card_1(A)
=> p1_s1_card_1(k2_card_1(A)) ) )
& p1_s1_card_1(k1_xboole_0) )
=> ! [A] :
( v1_card_1(A)
=> p1_s1_card_1(A) ) ),
file('SET007+54.ax',s1_card_1) ).
fof(s2_card_1,axiom,
( ! [A] :
( v1_card_1(A)
=> ( ! [B] :
( v1_card_1(B)
=> ( r2_hidden(B,A)
=> p1_s2_card_1(B) ) )
=> p1_s2_card_1(A) ) )
=> ! [A] :
( v1_card_1(A)
=> p1_s2_card_1(A) ) ),
file('SET007+54.ax',s2_card_1) ).
fof(dt_k1_card_1,axiom,
! [A] : v1_card_1(k1_card_1(A)),
file('SET007+54.ax',dt_k1_card_1) ).
fof(dt_k2_card_1,axiom,
! [A] : v1_card_1(k2_card_1(A)),
file('SET007+54.ax',dt_k2_card_1) ).
fof(dt_k3_card_1,axiom,
$true,
file('SET007+54.ax',dt_k3_card_1) ).
fof(dt_k4_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> m2_subset_1(k4_card_1(A),k1_numbers,k5_numbers) ),
file('SET007+54.ax',dt_k4_card_1) ).
fof(redefinition_k4_card_1,axiom,
! [A] :
( v1_finset_1(A)
=> k4_card_1(A) = k1_card_1(A) ),
file('SET007+54.ax',redefinition_k4_card_1) ).
fof(rc1_finseq_1,axiom,
? [A] :
( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+55.ax',rc1_finseq_1) ).
fof(fc1_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> v1_finset_1(k1_finseq_1(A)) ),
file('SET007+55.ax',fc1_finseq_1) ).
fof(cc1_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+55.ax',cc1_finseq_1) ).
fof(fc2_finseq_1,axiom,
( v1_finseq_1(k1_xboole_0)
& v1_finset_1(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('SET007+55.ax',fc2_finseq_1) ).
fof(rc2_finseq_1,axiom,
! [A] :
? [B] :
( v1_finseq_1(B)
& v1_finset_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,k5_numbers,A) ),
file('SET007+55.ax',rc2_finseq_1) ).
fof(rc3_finseq_1,axiom,
? [A] :
( v1_finseq_1(A)
& v1_finset_1(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& v1_xboole_0(A) ),
file('SET007+55.ax',rc3_finseq_1) ).
fof(rc4_finseq_1,axiom,
! [A] :
? [B] :
( v1_finseq_1(B)
& v1_finset_1(B)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& v1_xboole_0(B)
& m1_finseq_1(B,A) ),
file('SET007+55.ax',rc4_finseq_1) ).
fof(fc3_finseq_1,axiom,
! [A] :
( v1_funct_1(k5_finseq_1(A))
& v1_relat_1(k5_finseq_1(A)) ),
file('SET007+55.ax',fc3_finseq_1) ).
fof(fc4_finseq_1,axiom,
! [A] :
( v1_finseq_1(k5_finseq_1(A))
& v1_finset_1(k5_finseq_1(A))
& v1_funct_1(k5_finseq_1(A))
& v1_relat_1(k5_finseq_1(A)) ),
file('SET007+55.ax',fc4_finseq_1) ).
fof(fc5_finseq_1,axiom,
! [A,B] :
( v1_funct_1(k10_finseq_1(A,B))
& v1_relat_1(k10_finseq_1(A,B)) ),
file('SET007+55.ax',fc5_finseq_1) ).
fof(fc6_finseq_1,axiom,
! [A,B,C] :
( v1_funct_1(k11_finseq_1(A,B,C))
& v1_relat_1(k11_finseq_1(A,B,C)) ),
file('SET007+55.ax',fc6_finseq_1) ).
fof(fc7_finseq_1,axiom,
! [A,B] :
( v1_finseq_1(k10_finseq_1(A,B))
& v1_finset_1(k10_finseq_1(A,B))
& v1_funct_1(k10_finseq_1(A,B))
& v1_relat_1(k10_finseq_1(A,B)) ),
file('SET007+55.ax',fc7_finseq_1) ).
fof(fc8_finseq_1,axiom,
! [A,B,C] :
( v1_finseq_1(k11_finseq_1(A,B,C))
& v1_finset_1(k11_finseq_1(A,B,C))
& v1_funct_1(k11_finseq_1(A,B,C))
& v1_relat_1(k11_finseq_1(A,B,C)) ),
file('SET007+55.ax',fc8_finseq_1) ).
fof(fc9_finseq_1,axiom,
! [A] : ~ v1_xboole_0(k13_finseq_1(A)),
file('SET007+55.ax',fc9_finseq_1) ).
fof(rc5_finseq_1,axiom,
? [A] :
( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+55.ax',rc5_finseq_1) ).
fof(fc10_finseq_1,axiom,
! [A] :
( ( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finseq_1(k15_finseq_1(A))
& v1_finset_1(k15_finseq_1(A))
& v1_funct_1(k15_finseq_1(A))
& v1_relat_1(k15_finseq_1(A)) ) ),
file('SET007+55.ax',fc10_finseq_1) ).
fof(rc6_finseq_1,axiom,
? [A] :
( v1_finset_1(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& v1_xboole_0(A) ),
file('SET007+55.ax',rc6_finseq_1) ).
fof(rc7_finseq_1,axiom,
? [A] :
( v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& ~ v1_xboole_0(A) ),
file('SET007+55.ax',rc7_finseq_1) ).
fof(fc11_finseq_1,axiom,
! [A] :
( ( v1_finset_1(A)
& v1_relat_1(A) )
=> v1_finset_1(k2_relat_1(A)) ),
file('SET007+55.ax',fc11_finseq_1) ).
fof(fc12_finseq_1,axiom,
! [A] :
( v1_finseq_1(k5_finseq_1(A))
& v1_finset_1(k5_finseq_1(A))
& v1_funct_1(k5_finseq_1(A))
& v1_relat_1(k5_finseq_1(A))
& ~ v1_xboole_0(k5_finseq_1(A)) ),
file('SET007+55.ax',fc12_finseq_1) ).
fof(rc8_finseq_1,axiom,
? [A] :
( v1_finseq_1(A)
& v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& ~ v1_xboole_0(A) ),
file('SET007+55.ax',rc8_finseq_1) ).
fof(fc13_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& ~ v1_xboole_0(B)
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finseq_1(k7_finseq_1(A,B))
& v1_finset_1(k7_finseq_1(A,B))
& v1_funct_1(k7_finseq_1(A,B))
& v1_relat_1(k7_finseq_1(A,B))
& ~ v1_xboole_0(k7_finseq_1(A,B)) ) ),
file('SET007+55.ax',fc13_finseq_1) ).
fof(fc14_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& ~ v1_xboole_0(B)
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finseq_1(k7_finseq_1(B,A))
& v1_finset_1(k7_finseq_1(B,A))
& v1_funct_1(k7_finseq_1(B,A))
& v1_relat_1(k7_finseq_1(B,A))
& ~ v1_xboole_0(k7_finseq_1(B,A)) ) ),
file('SET007+55.ax',fc14_finseq_1) ).
fof(fc15_finseq_1,axiom,
! [A,B] :
( m1_finseq_1(B,A)
=> ( v1_finseq_1(k16_finseq_1(A,B,np__0))
& v1_finset_1(k16_finseq_1(A,B,np__0))
& v2_funct_1(k16_finseq_1(A,B,np__0))
& v1_funct_1(k16_finseq_1(A,B,np__0))
& v1_relat_1(k16_finseq_1(A,B,np__0))
& v1_xboole_0(k16_finseq_1(A,B,np__0)) ) ),
file('SET007+55.ax',fc15_finseq_1) ).
fof(fc16_finseq_1,axiom,
! [A] :
( v1_fraenkel(k13_finseq_1(A))
& ~ v1_xboole_0(k13_finseq_1(A)) ),
file('SET007+55.ax',fc16_finseq_1) ).
fof(fc17_finseq_1,axiom,
! [A] :
( ( v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v1_finset_1(k1_relat_1(A)) ),
file('SET007+55.ax',fc17_finseq_1) ).
fof(fc18_finseq_1,axiom,
! [A,B] :
( ( v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> v1_finset_1(k10_relat_1(A,B)) ),
file('SET007+55.ax',fc18_finseq_1) ).
fof(t1_finseq_1,axiom,
$true,
file('SET007+55.ax',t1_finseq_1) ).
fof(t2_finseq_1,axiom,
$true,
file('SET007+55.ax',t2_finseq_1) ).
fof(t3_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ( r2_hidden(A,k2_finseq_1(B))
<=> ( r1_xreal_0(A,B)
& r1_xreal_0(np__1,A) ) ) ) ),
file('SET007+55.ax',t3_finseq_1) ).
fof(t4_finseq_1,axiom,
( k2_finseq_1(np__2) = k2_tarski(np__1,np__2)
& k2_finseq_1(np__1) = k1_tarski(np__1)
& k2_finseq_1(np__0) = k1_xboole_0 ),
file('SET007+55.ax',t4_finseq_1) ).
fof(t5_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ( r2_hidden(A,k2_finseq_1(A))
| A = np__0 ) ),
file('SET007+55.ax',t5_finseq_1) ).
fof(t6_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(k2_xcmplx_0(A,np__1))) ),
file('SET007+55.ax',t6_finseq_1) ).
fof(t7_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ( r1_xreal_0(A,B)
<=> r1_tarski(k2_finseq_1(A),k2_finseq_1(B)) ) ) ),
file('SET007+55.ax',t7_finseq_1) ).
fof(t8_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ( k2_finseq_1(A) = k2_finseq_1(B)
=> A = B ) ) ),
file('SET007+55.ax',t8_finseq_1) ).
fof(t9_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ( r1_xreal_0(A,B)
=> k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(A)) ) ) ),
file('SET007+55.ax',t9_finseq_1) ).
fof(t10_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ( k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(A),k2_finseq_1(B))
=> r1_xreal_0(A,B) ) ) ),
file('SET007+55.ax',t10_finseq_1) ).
fof(t11_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> k2_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))) = k2_finseq_1(k2_xcmplx_0(A,np__1)) ),
file('SET007+55.ax',t11_finseq_1) ).
fof(t12_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> k2_finseq_1(A) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(A,np__1)),k1_tarski(k2_xcmplx_0(A,np__1))) ),
file('SET007+55.ax',t12_finseq_1) ).
fof(d2_finseq_1,axiom,
! [A] :
( v1_relat_1(A)
=> ( v1_finseq_1(A)
<=> ? [B] :
( k1_relat_1(A) = k2_finseq_1(B)
& m2_subset_1(B,k1_numbers,k5_numbers) ) ) ),
file('SET007+55.ax',d2_finseq_1) ).
fof(d3_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k3_finseq_1(A)
<=> k2_finseq_1(B) = k1_relat_1(A) ) ) ),
file('SET007+55.ax',d3_finseq_1) ).
fof(t13_finseq_1,axiom,
$true,
file('SET007+55.ax',t13_finseq_1) ).
fof(t14_finseq_1,axiom,
( v1_finseq_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('SET007+55.ax',t14_finseq_1) ).
fof(t15_finseq_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ~ ( ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ~ r1_tarski(A,B) )
& ? [B] :
( r1_tarski(k1_relat_1(A),k2_finseq_1(B))
& m2_subset_1(B,k1_numbers,k5_numbers) ) ) ),
file('SET007+55.ax',t15_finseq_1) ).
fof(t16_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ~ ( ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( A = k4_tarski(C,k1_funct_1(B,C))
& r2_hidden(C,k4_finseq_1(B)) ) )
& r2_hidden(A,B) ) ),
file('SET007+55.ax',t16_finseq_1) ).
fof(t17_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( r2_hidden(C,k4_finseq_1(A))
=> k1_funct_1(A,C) = k1_funct_1(B,C) ) )
& k4_finseq_1(A) = k4_finseq_1(B) )
=> A = B ) ) ),
file('SET007+55.ax',t17_finseq_1) ).
fof(t18_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(C,k3_finseq_1(A))
& r1_xreal_0(np__1,C) )
=> k1_funct_1(A,C) = k1_funct_1(B,C) ) )
& k3_finseq_1(A) = k3_finseq_1(B) )
=> A = B ) ) ),
file('SET007+55.ax',t18_finseq_1) ).
fof(t19_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( v1_finseq_1(k7_relat_1(B,k2_finseq_1(A)))
& v1_funct_1(k7_relat_1(B,k2_finseq_1(A)))
& v1_relat_1(k7_relat_1(B,k2_finseq_1(A))) ) ) ),
file('SET007+55.ax',t19_finseq_1) ).
fof(t20_finseq_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( r1_tarski(k2_relat_1(B),k1_relat_1(A))
=> ( v1_finseq_1(k5_relat_1(B,A))
& v1_funct_1(k5_relat_1(B,A))
& v1_relat_1(k5_relat_1(B,A)) ) ) ) ),
file('SET007+55.ax',t20_finseq_1) ).
fof(t21_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( C = k7_relat_1(B,k2_finseq_1(A))
& r1_xreal_0(A,k3_finseq_1(B)) )
=> ( k4_finseq_1(C) = k2_finseq_1(A)
& k3_finseq_1(C) = A ) ) ) ) ),
file('SET007+55.ax',t21_finseq_1) ).
fof(d4_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( m1_finseq_1(B,A)
<=> r1_tarski(k2_relat_1(B),A) ) ),
file('SET007+55.ax',d4_finseq_1) ).
fof(t22_finseq_1,axiom,
$true,
file('SET007+55.ax',t22_finseq_1) ).
fof(t23_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B,C] :
( m2_finseq_1(C,B)
=> m2_finseq_1(k7_relat_1(C,k2_finseq_1(A)),B) ) ),
file('SET007+55.ax',t23_finseq_1) ).
fof(t24_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( ~ v1_xboole_0(B)
=> ? [C] :
( k3_finseq_1(C) = A
& m2_finseq_1(C,B) ) ) ),
file('SET007+55.ax',t24_finseq_1) ).
fof(t25_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( k3_finseq_1(A) = np__0
<=> A = k1_xboole_0 ) ),
file('SET007+55.ax',t25_finseq_1) ).
fof(t26_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( A = k1_xboole_0
<=> k4_finseq_1(A) = k1_xboole_0 ) ),
file('SET007+55.ax',t26_finseq_1) ).
fof(t27_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( A = k1_xboole_0
<=> k2_relat_1(A) = k1_xboole_0 ) ),
file('SET007+55.ax',t27_finseq_1) ).
fof(t28_finseq_1,axiom,
$true,
file('SET007+55.ax',t28_finseq_1) ).
fof(t29_finseq_1,axiom,
! [A] : m2_finseq_1(k1_xboole_0,A),
file('SET007+55.ax',t29_finseq_1) ).
fof(d5_finseq_1,axiom,
! [A] : k5_finseq_1(A) = k1_tarski(k4_tarski(np__1,A)),
file('SET007+55.ax',d5_finseq_1) ).
fof(d6_finseq_1,axiom,
! [A] : k6_finseq_1(A) = k1_xboole_0,
file('SET007+55.ax',d6_finseq_1) ).
fof(t30_finseq_1,axiom,
$true,
file('SET007+55.ax',t30_finseq_1) ).
fof(t31_finseq_1,axiom,
$true,
file('SET007+55.ax',t31_finseq_1) ).
fof(t32_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( A = k6_finseq_1(B)
<=> k3_finseq_1(A) = np__0 ) ),
file('SET007+55.ax',t32_finseq_1) ).
fof(d7_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( C = k7_finseq_1(A,B)
<=> ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ( r2_hidden(D,k4_finseq_1(B))
=> k1_funct_1(C,k1_nat_1(k3_finseq_1(A),D)) = k1_funct_1(B,D) ) )
& ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ( r2_hidden(D,k4_finseq_1(A))
=> k1_funct_1(C,D) = k1_funct_1(A,D) ) )
& k4_finseq_1(C) = k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) ) ) ) ) ),
file('SET007+55.ax',d7_finseq_1) ).
fof(t33_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> A = k7_relat_1(k7_finseq_1(A,B),k4_finseq_1(A)) ) ),
file('SET007+55.ax',t33_finseq_1) ).
fof(t34_finseq_1,axiom,
$true,
file('SET007+55.ax',t34_finseq_1) ).
fof(t35_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> k3_finseq_1(k7_finseq_1(A,B)) = k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)) ) ),
file('SET007+55.ax',t35_finseq_1) ).
fof(t36_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( v4_ordinal2(C)
=> ( ( r1_xreal_0(C,k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)))
& r1_xreal_0(k1_nat_1(k3_finseq_1(A),np__1),C) )
=> k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A))) ) ) ) ),
file('SET007+55.ax',t36_finseq_1) ).
fof(t37_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( v4_ordinal2(C)
=> ( r1_xreal_0(C,k3_finseq_1(k7_finseq_1(A,B)))
=> ( k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A)))
| r1_xreal_0(C,k3_finseq_1(A)) ) ) ) ) ),
file('SET007+55.ax',t37_finseq_1) ).
fof(t38_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ~ ( C = k1_nat_1(k3_finseq_1(A),D)
& r2_hidden(D,k4_finseq_1(B)) ) )
& ~ r2_hidden(C,k4_finseq_1(A))
& r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B))) ) ) ) ),
file('SET007+55.ax',t38_finseq_1) ).
fof(t39_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> r1_tarski(k4_finseq_1(A),k4_finseq_1(k7_finseq_1(A,B))) ) ),
file('SET007+55.ax',t39_finseq_1) ).
fof(t40_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ~ ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ~ ( r2_hidden(k1_nat_1(k3_finseq_1(C),D),k4_finseq_1(k7_finseq_1(C,B)))
& D = A ) )
& r2_hidden(A,k4_finseq_1(B)) ) ) ),
file('SET007+55.ax',t40_finseq_1) ).
fof(t41_finseq_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( r2_hidden(A,k4_finseq_1(B))
=> r2_hidden(k1_nat_1(k3_finseq_1(C),A),k4_finseq_1(k7_finseq_1(C,B))) ) ) ) ),
file('SET007+55.ax',t41_finseq_1) ).
fof(t42_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(A,B))) ) ),
file('SET007+55.ax',t42_finseq_1) ).
fof(t43_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(B,A))) ) ),
file('SET007+55.ax',t43_finseq_1) ).
fof(t44_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> k2_relat_1(k7_finseq_1(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)) ) ),
file('SET007+55.ax',t44_finseq_1) ).
fof(t45_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> k7_finseq_1(k7_finseq_1(A,B),C) = k7_finseq_1(A,k7_finseq_1(B,C)) ) ) ),
file('SET007+55.ax',t45_finseq_1) ).
fof(t46_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( ( k7_finseq_1(B,A) = k7_finseq_1(B,C)
| k7_finseq_1(A,B) = k7_finseq_1(C,B) )
=> A = C ) ) ) ),
file('SET007+55.ax',t46_finseq_1) ).
fof(t47_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( k7_finseq_1(k1_xboole_0,A) = A
& k7_finseq_1(A,k1_xboole_0) = A ) ),
file('SET007+55.ax',t47_finseq_1) ).
fof(t48_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( k7_finseq_1(A,B) = k1_xboole_0
=> ( B = k1_xboole_0
& A = k1_xboole_0 ) ) ) ),
file('SET007+55.ax',t48_finseq_1) ).
fof(d8_finseq_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( B = k9_finseq_1(A)
<=> ( k1_funct_1(B,np__1) = A
& k1_relat_1(B) = k2_finseq_1(np__1) ) ) ),
file('SET007+55.ax',d8_finseq_1) ).
fof(t49_finseq_1,axiom,
$true,
file('SET007+55.ax',t49_finseq_1) ).
fof(t50_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( m2_finseq_1(k7_finseq_1(A,B),C)
=> ( m2_finseq_1(B,C)
& m2_finseq_1(A,C) ) ) ) ),
file('SET007+55.ax',t50_finseq_1) ).
fof(d9_finseq_1,axiom,
! [A,B] : k10_finseq_1(A,B) = k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),
file('SET007+55.ax',d9_finseq_1) ).
fof(d10_finseq_1,axiom,
! [A,B,C] : k11_finseq_1(A,B,C) = k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C)),
file('SET007+55.ax',d10_finseq_1) ).
fof(t51_finseq_1,axiom,
$true,
file('SET007+55.ax',t51_finseq_1) ).
fof(t52_finseq_1,axiom,
! [A] : k9_finseq_1(A) = k1_tarski(k4_tarski(np__1,A)),
file('SET007+55.ax',t52_finseq_1) ).
fof(t53_finseq_1,axiom,
$true,
file('SET007+55.ax',t53_finseq_1) ).
fof(t54_finseq_1,axiom,
$true,
file('SET007+55.ax',t54_finseq_1) ).
fof(t55_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( B = k9_finseq_1(A)
<=> ( k2_relat_1(B) = k1_tarski(A)
& k4_finseq_1(B) = k2_finseq_1(np__1) ) ) ),
file('SET007+55.ax',t55_finseq_1) ).
fof(t56_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( B = k9_finseq_1(A)
<=> ( k2_relat_1(B) = k1_tarski(A)
& k3_finseq_1(B) = np__1 ) ) ),
file('SET007+55.ax',t56_finseq_1) ).
fof(t57_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( B = k9_finseq_1(A)
<=> ( k1_funct_1(B,np__1) = A
& k3_finseq_1(B) = np__1 ) ) ),
file('SET007+55.ax',t57_finseq_1) ).
fof(t58_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),np__1) = A ),
file('SET007+55.ax',t58_finseq_1) ).
fof(t59_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),k1_nat_1(k3_finseq_1(B),np__1)) = A ),
file('SET007+55.ax',t59_finseq_1) ).
fof(t60_finseq_1,axiom,
! [A,B,C] :
( k11_finseq_1(A,B,C) = k7_finseq_1(k10_finseq_1(A,B),k9_finseq_1(C))
& k11_finseq_1(A,B,C) = k7_finseq_1(k9_finseq_1(A),k10_finseq_1(B,C)) ),
file('SET007+55.ax',t60_finseq_1) ).
fof(t61_finseq_1,axiom,
! [A,B,C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ( C = k10_finseq_1(A,B)
<=> ( k1_funct_1(C,np__2) = B
& k1_funct_1(C,np__1) = A
& k3_finseq_1(C) = np__2 ) ) ),
file('SET007+55.ax',t61_finseq_1) ).
fof(t62_finseq_1,axiom,
! [A,B,C,D] :
( ( v1_finseq_1(D)
& v1_funct_1(D)
& v1_relat_1(D) )
=> ( D = k11_finseq_1(A,B,C)
<=> ( k1_funct_1(D,np__3) = C
& k1_funct_1(D,np__2) = B
& k1_funct_1(D,np__1) = A
& k3_finseq_1(D) = np__3 ) ) ),
file('SET007+55.ax',t62_finseq_1) ).
fof(t63_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ~ ( ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] : A != k7_finseq_1(B,k9_finseq_1(C)) )
& A != k1_xboole_0 ) ),
file('SET007+55.ax',t63_finseq_1) ).
fof(t64_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( ( v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
=> ! [D] :
( ( v1_finseq_1(D)
& v1_funct_1(D)
& v1_relat_1(D) )
=> ~ ( ! [E] :
( ( v1_finseq_1(E)
& v1_funct_1(E)
& v1_relat_1(E) )
=> k7_finseq_1(A,E) != C )
& r1_xreal_0(k3_finseq_1(A),k3_finseq_1(C))
& k7_finseq_1(A,B) = k7_finseq_1(C,D) ) ) ) ) ),
file('SET007+55.ax',t64_finseq_1) ).
fof(d11_finseq_1,axiom,
! [A,B] :
( B = k13_finseq_1(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> m2_finseq_1(C,A) ) ),
file('SET007+55.ax',d11_finseq_1) ).
fof(t65_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( ( v2_funct_1(B)
& v2_funct_1(A)
& k2_relat_1(A) = k2_relat_1(B) )
=> k3_finseq_1(A) = k3_finseq_1(B) ) ) ),
file('SET007+55.ax',t65_finseq_1) ).
fof(t66_finseq_1,axiom,
! [A] : r2_hidden(k1_xboole_0,k13_finseq_1(A)),
file('SET007+55.ax',t66_finseq_1) ).
fof(d12_finseq_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_finseq_1(A)
<=> ? [B] :
( r1_tarski(k1_relat_1(A),k2_finseq_1(B))
& m2_subset_1(B,k1_numbers,k5_numbers) ) ) ),
file('SET007+55.ax',d12_finseq_1) ).
fof(t67_finseq_1,axiom,
$true,
file('SET007+55.ax',t67_finseq_1) ).
fof(t68_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+55.ax',t68_finseq_1) ).
fof(t69_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( v2_finseq_1(k8_relat_1(A,B))
& v1_funct_1(k8_relat_1(A,B))
& v1_relat_1(k8_relat_1(A,B))
& v2_finseq_1(k7_relat_1(B,A))
& v1_funct_1(k7_relat_1(B,A))
& v1_relat_1(k7_relat_1(B,A)) ) ),
file('SET007+55.ax',t69_finseq_1) ).
fof(d13_finseq_1,axiom,
! [A] :
( ? [B] :
( r1_tarski(A,k2_finseq_1(B))
& v4_ordinal2(B) )
=> ! [B] :
( m2_finseq_1(B,k5_numbers)
=> ( B = k14_finseq_1(A)
<=> ( ! [C] :
( v4_ordinal2(C)
=> ! [D] :
( v4_ordinal2(D)
=> ! [E] :
( v4_ordinal2(E)
=> ! [F] :
( v4_ordinal2(F)
=> ~ ( r1_xreal_0(F,E)
& F = k1_funct_1(B,D)
& E = k1_funct_1(B,C)
& r1_xreal_0(D,k3_finseq_1(B))
& ~ r1_xreal_0(D,C)
& r1_xreal_0(np__1,C) ) ) ) ) )
& k2_relat_1(B) = A ) ) ) ),
file('SET007+55.ax',d13_finseq_1) ).
fof(t70_finseq_1,axiom,
$true,
file('SET007+55.ax',t70_finseq_1) ).
fof(t71_finseq_1,axiom,
! [A] :
( ( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k2_relat_1(k14_finseq_1(k1_relat_1(A))) = k1_relat_1(A) ),
file('SET007+55.ax',t71_finseq_1) ).
fof(d14_finseq_1,axiom,
! [A] :
( ( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k15_finseq_1(A) = k5_relat_1(k14_finseq_1(k1_relat_1(A)),A) ),
file('SET007+55.ax',d14_finseq_1) ).
fof(t72_finseq_1,axiom,
! [A] :
( ? [B] :
( r1_tarski(A,k2_finseq_1(B))
& m2_subset_1(B,k1_numbers,k5_numbers) )
=> ( k14_finseq_1(A) = k1_xboole_0
<=> A = k1_xboole_0 ) ),
file('SET007+55.ax',t72_finseq_1) ).
fof(t73_finseq_1,axiom,
! [A] :
( v1_finset_1(A)
<=> ? [B] :
( A = k2_relat_1(B)
& v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) ) ),
file('SET007+55.ax',t73_finseq_1) ).
fof(t74_finseq_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_wellord2(k2_finseq_1(A),k2_finseq_1(B))
=> A = B ) ) ),
file('SET007+55.ax',t74_finseq_1) ).
fof(t75_finseq_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> r2_wellord2(k2_finseq_1(A),A) ),
file('SET007+55.ax',t75_finseq_1) ).
fof(t76_finseq_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> k1_card_1(k2_finseq_1(A)) = k1_card_1(A) ),
file('SET007+55.ax',t76_finseq_1) ).
fof(t77_finseq_1,axiom,
! [A] :
~ ( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ~ r2_wellord2(A,k2_finseq_1(B)) )
& v1_finset_1(A) ),
file('SET007+55.ax',t77_finseq_1) ).
fof(t78_finseq_1,axiom,
( ! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ( k4_card_1(k1_card_1(A)) = A
& k4_card_1(A) = A ) )
& ! [A] :
( v4_ordinal2(A)
=> k4_card_1(k2_finseq_1(A)) = A ) ),
file('SET007+55.ax',t78_finseq_1) ).
fof(d15_finseq_1,axiom,
! [A,B] :
( m2_finseq_1(B,A)
=> ! [C] :
( v4_ordinal2(C)
=> k16_finseq_1(A,B,C) = k7_relat_1(B,k2_finseq_1(C)) ) ),
file('SET007+55.ax',d15_finseq_1) ).
fof(t79_finseq_1,axiom,
! [A,B] :
( m2_finseq_1(B,A)
=> ! [C] :
( v4_ordinal2(C)
=> ( r1_xreal_0(k3_finseq_1(B),C)
=> k16_finseq_1(A,B,C) = B ) ) ),
file('SET007+55.ax',t79_finseq_1) ).
fof(t80_finseq_1,axiom,
! [A,B] :
( m2_finseq_1(B,A)
=> ! [C] :
( v4_ordinal2(C)
=> ( r1_xreal_0(C,k3_finseq_1(B))
=> k3_finseq_1(k16_finseq_1(A,B,C)) = C ) ) ),
file('SET007+55.ax',t80_finseq_1) ).
fof(t81_finseq_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v4_ordinal2(B)
=> ! [C] :
( v4_ordinal2(C)
=> ( r2_hidden(B,k2_finseq_1(A))
=> r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C))) ) ) ) ),
file('SET007+55.ax',t81_finseq_1) ).
fof(t82_finseq_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v4_ordinal2(B)
=> ! [C] :
( v4_ordinal2(C)
=> ( r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C)))
=> ( ( r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,C)))
& r2_hidden(B,k2_finseq_1(A)) )
| r1_xreal_0(B,np__0) ) ) ) ) ),
file('SET007+55.ax',t82_finseq_1) ).
fof(d16_finseq_1,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ( B = k17_finseq_1(A)
<=> ! [C,D] :
( r2_hidden(k4_tarski(C,D),B)
<=> ( ? [E] :
( ! [F] :
( m2_subset_1(F,k1_numbers,k5_numbers)
=> ( r1_xreal_0(np__1,F)
=> ( r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)
| r1_xreal_0(k3_finseq_1(E),F) ) ) )
& k1_funct_1(E,k3_finseq_1(E)) = D
& k1_funct_1(E,np__1) = C
& r1_xreal_0(np__1,k3_finseq_1(E))
& v1_finseq_1(E)
& v1_funct_1(E)
& v1_relat_1(E) )
& r2_hidden(D,k3_relat_1(A))
& r2_hidden(C,k3_relat_1(A)) ) ) ) ) ),
file('SET007+55.ax',d16_finseq_1) ).
fof(t83_finseq_1,axiom,
! [A,B] :
( r1_tarski(A,B)
=> r1_tarski(k13_finseq_1(A),k13_finseq_1(B)) ),
file('SET007+55.ax',t83_finseq_1) ).
fof(t84_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ( r1_tarski(A,B)
=> r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B)) ) ) ),
file('SET007+55.ax',t84_finseq_1) ).
fof(t85_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(C,k3_finseq_1(A))
& r1_xreal_0(np__1,C) )
=> k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(A,C) ) ) ) ),
file('SET007+55.ax',t85_finseq_1) ).
fof(t86_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(C,k3_finseq_1(B))
& r1_xreal_0(np__1,C) )
=> k1_funct_1(k7_finseq_1(A,B),k1_nat_1(k3_finseq_1(A),C)) = k1_funct_1(B,C) ) ) ) ),
file('SET007+55.ax',t86_finseq_1) ).
fof(s1_finseq_1,axiom,
( ( ! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ~ ( ! [B] : ~ p1_s1_finseq_1(A,B)
& r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) ) )
& ! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B,C] :
( ( p1_s1_finseq_1(A,C)
& p1_s1_finseq_1(A,B)
& r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) )
=> B = C ) ) )
=> ? [A] :
( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_hidden(B,k2_finseq_1(f1_s1_finseq_1))
=> p1_s1_finseq_1(B,k1_funct_1(A,B)) ) )
& k4_finseq_1(A) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('SET007+55.ax',s1_finseq_1) ).
fof(s2_finseq_1,axiom,
? [A] :
( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_hidden(B,k2_finseq_1(f1_s2_finseq_1))
=> k1_funct_1(A,B) = f2_s2_finseq_1(B) ) )
& k3_finseq_1(A) = f1_s2_finseq_1
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('SET007+55.ax',s2_finseq_1) ).
fof(s3_finseq_1,axiom,
( ( ! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ! [B] :
( p1_s3_finseq_1(A)
=> p1_s3_finseq_1(k7_finseq_1(A,k9_finseq_1(B))) ) )
& p1_s3_finseq_1(k1_xboole_0) )
=> ! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> p1_s3_finseq_1(A) ) ),
file('SET007+55.ax',s3_finseq_1) ).
fof(s4_finseq_1,axiom,
? [A] :
! [B] :
( r2_hidden(B,A)
<=> ? [C] :
( B = C
& p1_s4_finseq_1(C)
& r2_hidden(C,k13_finseq_1(f1_s4_finseq_1))
& v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) ),
file('SET007+55.ax',s4_finseq_1) ).
fof(s5_finseq_1,axiom,
( ! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ~ ( ! [B] :
( m1_subset_1(B,f1_s5_finseq_1)
=> ~ p1_s5_finseq_1(A,B) )
& r2_hidden(A,k2_finseq_1(f2_s5_finseq_1)) ) )
=> ? [A] :
( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_hidden(B,k2_finseq_1(f2_s5_finseq_1))
=> p1_s5_finseq_1(B,k1_funct_1(A,B)) ) )
& k4_finseq_1(A) = k2_finseq_1(f2_s5_finseq_1)
& m2_finseq_1(A,f1_s5_finseq_1) ) ),
file('SET007+55.ax',s5_finseq_1) ).
fof(dt_m1_finseq_1,axiom,
! [A,B] :
( m1_finseq_1(B,A)
=> ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) ) ),
file('SET007+55.ax',dt_m1_finseq_1) ).
fof(existence_m1_finseq_1,axiom,
! [A] :
? [B] : m1_finseq_1(B,A),
file('SET007+55.ax',existence_m1_finseq_1) ).
fof(dt_m2_finseq_1,axiom,
! [A,B] :
( m2_finseq_1(B,A)
=> ( m2_relset_1(B,k5_numbers,A)
& v1_finseq_1(B)
& v1_funct_1(B) ) ),
file('SET007+55.ax',dt_m2_finseq_1) ).
fof(existence_m2_finseq_1,axiom,
! [A] :
? [B] : m2_finseq_1(B,A),
file('SET007+55.ax',existence_m2_finseq_1) ).
fof(redefinition_m2_finseq_1,axiom,
! [A,B] :
( m2_finseq_1(B,A)
<=> m1_finseq_1(B,A) ),
file('SET007+55.ax',redefinition_m2_finseq_1) ).
fof(dt_k1_finseq_1,axiom,
$true,
file('SET007+55.ax',dt_k1_finseq_1) ).
fof(dt_k2_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> m1_subset_1(k2_finseq_1(A),k1_zfmisc_1(k5_numbers)) ),
file('SET007+55.ax',dt_k2_finseq_1) ).
fof(redefinition_k2_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> k2_finseq_1(A) = k1_finseq_1(A) ),
file('SET007+55.ax',redefinition_k2_finseq_1) ).
fof(dt_k3_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers) ),
file('SET007+55.ax',dt_k3_finseq_1) ).
fof(redefinition_k3_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k3_finseq_1(A) = k1_card_1(A) ),
file('SET007+55.ax',redefinition_k3_finseq_1) ).
fof(dt_k4_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k5_numbers)) ),
file('SET007+55.ax',dt_k4_finseq_1) ).
fof(redefinition_k4_finseq_1,axiom,
! [A] :
( ( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> k4_finseq_1(A) = k1_relat_1(A) ),
file('SET007+55.ax',redefinition_k4_finseq_1) ).
fof(dt_k5_finseq_1,axiom,
$true,
file('SET007+55.ax',dt_k5_finseq_1) ).
fof(dt_k6_finseq_1,axiom,
! [A] :
( m2_finseq_1(k6_finseq_1(A),A)
& v1_xboole_0(k6_finseq_1(A)) ),
file('SET007+55.ax',dt_k6_finseq_1) ).
fof(dt_k7_finseq_1,axiom,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_finseq_1(k7_finseq_1(A,B))
& v1_funct_1(k7_finseq_1(A,B))
& v1_relat_1(k7_finseq_1(A,B)) ) ),
file('SET007+55.ax',dt_k7_finseq_1) ).
fof(dt_k8_finseq_1,axiom,
! [A,B,C] :
( ( m1_finseq_1(C,A)
& m1_finseq_1(B,A) )
=> m2_finseq_1(k8_finseq_1(A,B,C),A) ),
file('SET007+55.ax',dt_k8_finseq_1) ).
fof(redefinition_k8_finseq_1,axiom,
! [A,B,C] :
( ( m1_finseq_1(C,A)
& m1_finseq_1(B,A) )
=> k8_finseq_1(A,B,C) = k7_finseq_1(B,C) ),
file('SET007+55.ax',redefinition_k8_finseq_1) ).
fof(dt_k9_finseq_1,axiom,
! [A] :
( v1_funct_1(k9_finseq_1(A))
& v1_relat_1(k9_finseq_1(A)) ),
file('SET007+55.ax',dt_k9_finseq_1) ).
fof(redefinition_k9_finseq_1,axiom,
! [A] : k9_finseq_1(A) = k5_finseq_1(A),
file('SET007+55.ax',redefinition_k9_finseq_1) ).
fof(dt_k10_finseq_1,axiom,
$true,
file('SET007+55.ax',dt_k10_finseq_1) ).
fof(dt_k11_finseq_1,axiom,
$true,
file('SET007+55.ax',dt_k11_finseq_1) ).
fof(dt_k12_finseq_1,axiom,
! [A,B] :
( ( m1_subset_1(B,A)
& ~ v1_xboole_0(A) )
=> m2_finseq_1(k12_finseq_1(A,B),A) ),
file('SET007+55.ax',dt_k12_finseq_1) ).
fof(redefinition_k12_finseq_1,axiom,
! [A,B] :
( ( m1_subset_1(B,A)
& ~ v1_xboole_0(A) )
=> k12_finseq_1(A,B) = k5_finseq_1(B) ),
file('SET007+55.ax',redefinition_k12_finseq_1) ).
fof(dt_k13_finseq_1,axiom,
$true,
file('SET007+55.ax',dt_k13_finseq_1) ).
fof(dt_k14_finseq_1,axiom,
! [A] : m2_finseq_1(k14_finseq_1(A),k5_numbers),
file('SET007+55.ax',dt_k14_finseq_1) ).
fof(dt_k15_finseq_1,axiom,
! [A] :
( ( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_funct_1(k15_finseq_1(A))
& v1_relat_1(k15_finseq_1(A)) ) ),
file('SET007+55.ax',dt_k15_finseq_1) ).
fof(dt_k16_finseq_1,axiom,
! [A,B,C] :
( ( v4_ordinal2(C)
& m1_finseq_1(B,A) )
=> m2_finseq_1(k16_finseq_1(A,B,C),A) ),
file('SET007+55.ax',dt_k16_finseq_1) ).
fof(dt_k17_finseq_1,axiom,
! [A] :
( v1_relat_1(A)
=> v1_relat_1(k17_finseq_1(A)) ),
file('SET007+55.ax',dt_k17_finseq_1) ).
fof(d1_finseq_1,axiom,
! [A] :
( v4_ordinal2(A)
=> k1_finseq_1(A) = a_1_0_finseq_1(A) ),
file('SET007+55.ax',d1_finseq_1) ).
fof(fraenkel_a_1_0_finseq_1,axiom,
! [A,B] :
( v4_ordinal2(B)
=> ( r2_hidden(A,a_1_0_finseq_1(B))
<=> ? [C] :
( r1_xreal_0(C,B)
& r1_xreal_0(np__1,C)
& A = C
& m2_subset_1(C,k1_numbers,k5_numbers) ) ) ),
file('SET007+55.ax',fraenkel_a_1_0_finseq_1) ).
fof(rc1_struct_0,axiom,
? [A] :
( v1_struct_0(A)
& l1_struct_0(A) ),
file('SET007+200.ax',rc1_struct_0) ).
fof(rc2_struct_0,axiom,
? [A] :
( v2_struct_0(A)
& l2_struct_0(A) ),
file('SET007+200.ax',rc2_struct_0) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('SET007+200.ax',rc3_struct_0) ).
fof(rc4_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l2_struct_0(A) ),
file('SET007+200.ax',rc4_struct_0) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('SET007+200.ax',fc1_struct_0) ).
fof(rc5_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('SET007+200.ax',rc5_struct_0) ).
fof(d1_struct_0,axiom,
! [A] :
( l1_struct_0(A)
=> ( v3_struct_0(A)
<=> v1_xboole_0(u1_struct_0(A)) ) ),
file('SET007+200.ax',d1_struct_0) ).
fof(dt_m1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B)
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_struct_0(C,A,B)
=> m1_subset_1(C,u1_struct_0(A)) ) ),
file('SET007+200.ax',dt_m1_struct_0) ).
fof(existence_m1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B)
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [C] : m1_struct_0(C,A,B) ),
file('SET007+200.ax',existence_m1_struct_0) ).
fof(redefinition_m1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B)
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_struct_0(C,A,B)
<=> m1_subset_1(C,B) ) ),
file('SET007+200.ax',redefinition_m1_struct_0) ).
fof(dt_l1_struct_0,axiom,
$true,
file('SET007+200.ax',dt_l1_struct_0) ).
fof(existence_l1_struct_0,axiom,
? [A] : l1_struct_0(A),
file('SET007+200.ax',existence_l1_struct_0) ).
fof(dt_l2_struct_0,axiom,
! [A] :
( l2_struct_0(A)
=> l1_struct_0(A) ),
file('SET007+200.ax',dt_l2_struct_0) ).
fof(existence_l2_struct_0,axiom,
? [A] : l2_struct_0(A),
file('SET007+200.ax',existence_l2_struct_0) ).
fof(abstractness_v1_struct_0,axiom,
! [A] :
( l1_struct_0(A)
=> ( v1_struct_0(A)
=> A = g1_struct_0(u1_struct_0(A)) ) ),
file('SET007+200.ax',abstractness_v1_struct_0) ).
fof(abstractness_v2_struct_0,axiom,
! [A] :
( l2_struct_0(A)
=> ( v2_struct_0(A)
=> A = g2_struct_0(u1_struct_0(A),u2_struct_0(A)) ) ),
file('SET007+200.ax',abstractness_v2_struct_0) ).
fof(dt_k1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('SET007+200.ax',dt_k1_struct_0) ).
fof(redefinition_k1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k1_struct_0(A,B) = k1_tarski(B) ),
file('SET007+200.ax',redefinition_k1_struct_0) ).
fof(dt_k2_struct_0,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ),
file('SET007+200.ax',dt_k2_struct_0) ).
fof(commutativity_k2_struct_0,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k2_struct_0(A,B,C) = k2_struct_0(A,C,B) ),
file('SET007+200.ax',commutativity_k2_struct_0) ).
fof(redefinition_k2_struct_0,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k2_struct_0(A,B,C) = k2_tarski(B,C) ),
file('SET007+200.ax',redefinition_k2_struct_0) ).
fof(dt_u1_struct_0,axiom,
$true,
file('SET007+200.ax',dt_u1_struct_0) ).
fof(dt_u2_struct_0,axiom,
! [A] :
( l2_struct_0(A)
=> m1_subset_1(u2_struct_0(A),u1_struct_0(A)) ),
file('SET007+200.ax',dt_u2_struct_0) ).
fof(dt_g1_struct_0,axiom,
! [A] :
( l1_struct_0(g1_struct_0(A))
& v1_struct_0(g1_struct_0(A)) ),
file('SET007+200.ax',dt_g1_struct_0) ).
fof(free_g1_struct_0,axiom,
! [A,B] :
( g1_struct_0(A) = g1_struct_0(B)
=> A = B ),
file('SET007+200.ax',free_g1_struct_0) ).
fof(dt_g2_struct_0,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ( l2_struct_0(g2_struct_0(A,B))
& v2_struct_0(g2_struct_0(A,B)) ) ),
file('SET007+200.ax',dt_g2_struct_0) ).
fof(free_g2_struct_0,axiom,
! [A,B] :
( m1_subset_1(B,A)
=> ! [C,D] :
( g2_struct_0(A,B) = g2_struct_0(C,D)
=> ( B = D
& A = C ) ) ),
file('SET007+200.ax',free_g2_struct_0) ).
fof(rc1_rlvect_1,axiom,
? [A] :
( v1_rlvect_1(A)
& l1_rlvect_1(A) ),
file('SET007+210.ax',rc1_rlvect_1) ).
fof(rc2_rlvect_1,axiom,
? [A] :
( v2_rlvect_1(A)
& l2_rlvect_1(A) ),
file('SET007+210.ax',rc2_rlvect_1) ).
fof(rc3_rlvect_1,axiom,
? [A] :
( ~ v3_struct_0(A)
& l2_rlvect_1(A) ),
file('SET007+210.ax',rc3_rlvect_1) ).
fof(rc4_rlvect_1,axiom,
? [A] :
( v1_rlvect_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
file('SET007+210.ax',rc4_rlvect_1) ).
fof(fc1_rlvect_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
& v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A)
& v1_funct_1(D)
& m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_subset_1(B,A)
& ~ v1_xboole_0(A) )
=> ( v2_rlvect_1(g2_rlvect_1(A,B,C,D))
& ~ v3_struct_0(g2_rlvect_1(A,B,C,D)) ) ),
file('SET007+210.ax',fc1_rlvect_1) ).
fof(rc5_rlvect_1,axiom,
? [A] :
( v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v1_rlvect_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
file('SET007+210.ax',rc5_rlvect_1) ).
fof(rc6_rlvect_1,axiom,
? [A] :
( v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v2_rlvect_1(A)
& ~ v3_struct_0(A)
& l2_rlvect_1(A) ),
file('SET007+210.ax',rc6_rlvect_1) ).
fof(d1_rlvect_1,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( r1_rlvect_1(A,B)
<=> r2_hidden(B,u1_struct_0(A)) ) ),
file('SET007+210.ax',d1_rlvect_1) ).
fof(t1_rlvect_1,axiom,
$true,
file('SET007+210.ax',t1_rlvect_1) ).
fof(t2_rlvect_1,axiom,
$true,
file('SET007+210.ax',t2_rlvect_1) ).
fof(t3_rlvect_1,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> r1_rlvect_1(A,B) ) ),
file('SET007+210.ax',t3_rlvect_1) ).
fof(d2_rlvect_1,axiom,
! [A] :
( l2_struct_0(A)
=> k1_rlvect_1(A) = u2_struct_0(A) ),
file('SET007+210.ax',d2_rlvect_1) ).
fof(d3_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k2_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ),
file('SET007+210.ax',d3_rlvect_1) ).
fof(d4_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> k3_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k1_domain_1(k1_numbers,u1_struct_0(A),C,B)) ) ) ),
file('SET007+210.ax',d4_rlvect_1) ).
fof(t4_rlvect_1,axiom,
$true,
file('SET007+210.ax',t4_rlvect_1) ).
fof(t5_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k2_rlvect_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_rlvect_1(A),B,C) ) ) ),
file('SET007+210.ax',t5_rlvect_1) ).
fof(d5_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v3_rlvect_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) ) ) ) ),
file('SET007+210.ax',d5_rlvect_1) ).
fof(d6_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v4_rlvect_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) ) ) ) ) ),
file('SET007+210.ax',d6_rlvect_1) ).
fof(d7_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v5_rlvect_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B ) ) ),
file('SET007+210.ax',d7_rlvect_1) ).
fof(d8_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v6_rlvect_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ? [C] :
( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
& m1_subset_1(C,u1_struct_0(A)) ) ) ) ),
file('SET007+210.ax',d8_rlvect_1) ).
fof(d9_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v7_rlvect_1(A)
<=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k3_rlvect_1(A,B,np__1) = B )
& ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,D,k4_real_1(B,C)) = k3_rlvect_1(A,k3_rlvect_1(A,D,C),B) ) ) )
& ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,D,k3_real_1(B,C)) = k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C)) ) ) )
& ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)) ) ) ) ) ) ),
file('SET007+210.ax',d9_rlvect_1) ).
fof(t6_rlvect_1,axiom,
$true,
file('SET007+210.ax',t6_rlvect_1) ).
fof(t7_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k3_rlvect_1(A,B,np__1) = B )
& ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,D,k4_real_1(B,C)) = k3_rlvect_1(A,k3_rlvect_1(A,D,C),B) ) ) )
& ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,D,k3_real_1(B,C)) = k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C)) ) ) )
& ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)) ) ) )
& ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ? [C] :
( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
& m1_subset_1(C,u1_struct_0(A)) ) )
& ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B )
& ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) ) ) )
& ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) ) ) )
=> ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+210.ax',t7_rlvect_1) ).
fof(t8_rlvect_1,axiom,
$true,
file('SET007+210.ax',t8_rlvect_1) ).
fof(t9_rlvect_1,axiom,
$true,
file('SET007+210.ax',t9_rlvect_1) ).
fof(t10_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k2_rlvect_1(A,k1_rlvect_1(A),B) = B
& k2_rlvect_1(A,B,k1_rlvect_1(A)) = B ) ) ),
file('SET007+210.ax',t10_rlvect_1) ).
fof(d10_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( ( v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k5_rlvect_1(A,B)
<=> k2_rlvect_1(A,B,C) = k1_rlvect_1(A) ) ) ) ) ),
file('SET007+210.ax',d10_rlvect_1) ).
fof(d11_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k6_rlvect_1(A,B,C) = k2_rlvect_1(A,B,k5_rlvect_1(A,C)) ) ) ),
file('SET007+210.ax',d11_rlvect_1) ).
fof(t11_rlvect_1,axiom,
$true,
file('SET007+210.ax',t11_rlvect_1) ).
fof(t12_rlvect_1,axiom,
$true,
file('SET007+210.ax',t12_rlvect_1) ).
fof(t13_rlvect_1,axiom,
$true,
file('SET007+210.ax',t13_rlvect_1) ).
fof(t14_rlvect_1,axiom,
$true,
file('SET007+210.ax',t14_rlvect_1) ).
fof(t15_rlvect_1,axiom,
$true,
file('SET007+210.ax',t15_rlvect_1) ).
fof(t16_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k2_rlvect_1(A,k5_rlvect_1(A,B),B) = k1_rlvect_1(A)
& k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A) ) ) ),
file('SET007+210.ax',t16_rlvect_1) ).
fof(t17_rlvect_1,axiom,
$true,
file('SET007+210.ax',t17_rlvect_1) ).
fof(t18_rlvect_1,axiom,
$true,
file('SET007+210.ax',t18_rlvect_1) ).
fof(t19_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
=> B = k5_rlvect_1(A,C) ) ) ) ),
file('SET007+210.ax',t19_rlvect_1) ).
fof(t20_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ? [D] :
( k2_rlvect_1(A,B,D) = C
& m1_subset_1(D,u1_struct_0(A)) ) ) ) ),
file('SET007+210.ax',t20_rlvect_1) ).
fof(t21_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( ( k2_rlvect_1(A,D,B) = k2_rlvect_1(A,E,B)
| k2_rlvect_1(A,B,D) = k2_rlvect_1(A,B,E) )
=> D = E ) ) ) ) ) ),
file('SET007+210.ax',t21_rlvect_1) ).
fof(t22_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( k2_rlvect_1(A,C,B) = B
| k2_rlvect_1(A,B,C) = B )
=> C = k1_rlvect_1(A) ) ) ) ),
file('SET007+210.ax',t22_rlvect_1) ).
fof(t23_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( ( C = k1_rlvect_1(B)
| A = np__0 )
=> k3_rlvect_1(B,C,A) = k1_rlvect_1(B) ) ) ) ),
file('SET007+210.ax',t23_rlvect_1) ).
fof(t24_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ~ ( C != k1_rlvect_1(B)
& A != np__0
& k3_rlvect_1(B,C,A) = k1_rlvect_1(B) ) ) ) ),
file('SET007+210.ax',t24_rlvect_1) ).
fof(t25_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k5_rlvect_1(A,k1_rlvect_1(A)) = k1_rlvect_1(A) ),
file('SET007+210.ax',t25_rlvect_1) ).
fof(t26_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_rlvect_1(A,B,k1_rlvect_1(A)) = B ) ),
file('SET007+210.ax',t26_rlvect_1) ).
fof(t27_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B) ) ),
file('SET007+210.ax',t27_rlvect_1) ).
fof(t28_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_rlvect_1(A,B,B) = k1_rlvect_1(A) ) ),
file('SET007+210.ax',t28_rlvect_1) ).
fof(t29_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k5_rlvect_1(A,B) = k3_rlvect_1(A,B,k1_real_1(np__1)) ) ),
file('SET007+210.ax',t29_rlvect_1) ).
fof(t30_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k5_rlvect_1(A,k5_rlvect_1(A,B)) = B ) ),
file('SET007+210.ax',t30_rlvect_1) ).
fof(t31_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k5_rlvect_1(A,B) = k5_rlvect_1(A,C)
=> B = C ) ) ) ),
file('SET007+210.ax',t31_rlvect_1) ).
fof(t32_rlvect_1,axiom,
$true,
file('SET007+210.ax',t32_rlvect_1) ).
fof(t33_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B = k5_rlvect_1(A,B)
=> B = k1_rlvect_1(A) ) ) ),
file('SET007+210.ax',t33_rlvect_1) ).
fof(t34_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k4_rlvect_1(A,B,B) = k1_rlvect_1(A)
=> B = k1_rlvect_1(A) ) ) ),
file('SET007+210.ax',t34_rlvect_1) ).
fof(t35_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k6_rlvect_1(A,B,C) = k1_rlvect_1(A)
=> B = C ) ) ) ),
file('SET007+210.ax',t35_rlvect_1) ).
fof(t36_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ? [D] :
( k6_rlvect_1(A,C,D) = B
& m1_subset_1(D,u1_struct_0(A)) ) ) ) ),
file('SET007+210.ax',t36_rlvect_1) ).
fof(t37_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k6_rlvect_1(A,B,C) = k6_rlvect_1(A,B,D)
=> C = D ) ) ) ) ),
file('SET007+210.ax',t37_rlvect_1) ).
fof(t38_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k3_rlvect_1(B,k5_rlvect_1(B,C),A) = k3_rlvect_1(B,C,k1_real_1(A)) ) ) ),
file('SET007+210.ax',t38_rlvect_1) ).
fof(t39_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k3_rlvect_1(B,k5_rlvect_1(B,C),A) = k5_rlvect_1(B,k3_rlvect_1(B,C,A)) ) ) ),
file('SET007+210.ax',t39_rlvect_1) ).
fof(t40_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k3_rlvect_1(B,k5_rlvect_1(B,C),k1_real_1(A)) = k3_rlvect_1(B,C,A) ) ) ),
file('SET007+210.ax',t40_rlvect_1) ).
fof(t41_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k6_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C) ) ) ) ),
file('SET007+210.ax',t41_rlvect_1) ).
fof(t42_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k6_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k6_rlvect_1(A,C,D)) ) ) ) ),
file('SET007+210.ax',t42_rlvect_1) ).
fof(t43_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k6_rlvect_1(A,B,k6_rlvect_1(A,C,D)) = k4_rlvect_1(A,k6_rlvect_1(A,B,C),D) ) ) ) ),
file('SET007+210.ax',t43_rlvect_1) ).
fof(t44_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_rlvect_1(A,k2_rlvect_1(A,B,C)) = k6_rlvect_1(A,k5_rlvect_1(A,C),B) ) ) ),
file('SET007+210.ax',t44_rlvect_1) ).
fof(t45_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_rlvect_1(A,k2_rlvect_1(A,B,C)) = k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B)) ) ) ),
file('SET007+210.ax',t45_rlvect_1) ).
fof(t46_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k6_rlvect_1(A,k5_rlvect_1(A,B),C) = k6_rlvect_1(A,k5_rlvect_1(A,C),B) ) ) ),
file('SET007+210.ax',t46_rlvect_1) ).
fof(t47_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_rlvect_1(A,k6_rlvect_1(A,B,C)) = k2_rlvect_1(A,C,k5_rlvect_1(A,B)) ) ) ),
file('SET007+210.ax',t47_rlvect_1) ).
fof(t48_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k3_rlvect_1(B,k6_rlvect_1(B,C,D),A) = k6_rlvect_1(B,k3_rlvect_1(B,C,A),k3_rlvect_1(B,D,A)) ) ) ) ),
file('SET007+210.ax',t48_rlvect_1) ).
fof(t49_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( ( l2_rlvect_1(C)
& v7_rlvect_1(C)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k3_rlvect_1(C,D,k5_real_1(A,B)) = k6_rlvect_1(C,k3_rlvect_1(C,D,A),k3_rlvect_1(C,D,B)) ) ) ) ),
file('SET007+210.ax',t49_rlvect_1) ).
fof(t50_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( k3_rlvect_1(B,C,A) = k3_rlvect_1(B,D,A)
=> ( C = D
| A = np__0 ) ) ) ) ) ),
file('SET007+210.ax',t50_rlvect_1) ).
fof(t51_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( ( l2_rlvect_1(C)
& v7_rlvect_1(C)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( k3_rlvect_1(C,D,A) = k3_rlvect_1(C,D,B)
=> ( A = B
| D = k1_rlvect_1(C) ) ) ) ) ) ),
file('SET007+210.ax',t51_rlvect_1) ).
fof(d12_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k9_rlvect_1(A,B)
<=> ? [D] :
( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ( F = k1_funct_1(B,k1_nat_1(E,np__1))
=> ( k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) = k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F)
| r1_xreal_0(k3_finseq_1(B),E) ) ) ) )
& k8_funct_2(k5_numbers,u1_struct_0(A),D,np__0) = k1_rlvect_1(A)
& C = k8_funct_2(k5_numbers,u1_struct_0(A),D,k3_finseq_1(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(A))
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& v1_funct_1(D) ) ) ) ) ),
file('SET007+210.ax',d12_rlvect_1) ).
fof(t52_rlvect_1,axiom,
$true,
file('SET007+210.ax',t52_rlvect_1) ).
fof(t53_rlvect_1,axiom,
$true,
file('SET007+210.ax',t53_rlvect_1) ).
fof(t54_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ( ( k3_finseq_1(B) = D
& r2_hidden(C,k2_finseq_1(D)) )
=> m1_subset_1(k1_funct_1(B,C),u1_struct_0(A)) ) ) ) ) ),
file('SET007+210.ax',t54_rlvect_1) ).
fof(t55_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( D = k1_funct_1(B,k3_finseq_1(B))
& C = k7_relat_1(B,k4_finseq_1(C))
& k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),np__1) )
=> k9_rlvect_1(A,B) = k2_rlvect_1(A,k9_rlvect_1(A,C),D) ) ) ) ) ),
file('SET007+210.ax',t55_rlvect_1) ).
fof(t56_rlvect_1,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(B))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(B))
=> ( ( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( F = k1_funct_1(D,E)
& r2_hidden(E,k4_finseq_1(C)) )
=> k1_funct_1(C,E) = k3_rlvect_1(B,F,A) ) ) )
& k3_finseq_1(C) = k3_finseq_1(D) )
=> k9_rlvect_1(B,C) = k3_rlvect_1(B,k9_rlvect_1(B,D),A) ) ) ) ) ),
file('SET007+210.ax',t56_rlvect_1) ).
fof(t57_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ( ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( ( E = k1_funct_1(C,D)
& r2_hidden(D,k4_finseq_1(B)) )
=> k1_funct_1(B,D) = k5_rlvect_1(A,E) ) ) )
& k3_finseq_1(B) = k3_finseq_1(C) )
=> k9_rlvect_1(A,B) = k5_rlvect_1(A,k9_rlvect_1(A,C)) ) ) ) ),
file('SET007+210.ax',t57_rlvect_1) ).
fof(t58_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> k9_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C)) ) ) ),
file('SET007+210.ax',t58_rlvect_1) ).
fof(t59_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ( ( v2_funct_1(C)
& v2_funct_1(B)
& k2_relat_1(B) = k2_relat_1(C) )
=> k9_rlvect_1(A,B) = k9_rlvect_1(A,C) ) ) ) ),
file('SET007+210.ax',t59_rlvect_1) ).
fof(t60_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k1_rlvect_1(A) ),
file('SET007+210.ax',t60_rlvect_1) ).
fof(t61_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)) = B ) ),
file('SET007+210.ax',t61_rlvect_1) ).
fof(t62_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,B,C) ) ) ),
file('SET007+210.ax',t62_rlvect_1) ).
fof(t63_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) ) ) ) ),
file('SET007+210.ax',t63_rlvect_1) ).
fof(t64_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> k3_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) = k1_rlvect_1(A) ) ),
file('SET007+210.ax',t64_rlvect_1) ).
fof(t65_rlvect_1,axiom,
$true,
file('SET007+210.ax',t65_rlvect_1) ).
fof(t66_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k3_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B) = k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)) ) ) ) ),
file('SET007+210.ax',t66_rlvect_1) ).
fof(t67_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> k3_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,C,D,E)),B) = k4_rlvect_1(A,k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)),k3_rlvect_1(A,E,B)) ) ) ) ) ),
file('SET007+210.ax',t67_rlvect_1) ).
fof(t68_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k5_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A)))) = k1_rlvect_1(A) ),
file('SET007+210.ax',t68_rlvect_1) ).
fof(t69_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k5_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B))) = k5_rlvect_1(A,B) ) ),
file('SET007+210.ax',t69_rlvect_1) ).
fof(t70_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C))) = k6_rlvect_1(A,k5_rlvect_1(A,B),C) ) ) ),
file('SET007+210.ax',t70_rlvect_1) ).
fof(t71_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k5_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,B,C,D))) = k6_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,B),C),D) ) ) ) ),
file('SET007+210.ax',t71_rlvect_1) ).
fof(t72_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k9_rlvect_1(A,k7_rlvect_1(A,C,B)) ) ) ),
file('SET007+210.ax',t72_rlvect_1) ).
fof(t73_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))) ) ) ),
file('SET007+210.ax',t73_rlvect_1) ).
fof(t74_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A))) = k1_rlvect_1(A) ),
file('SET007+210.ax',t74_rlvect_1) ).
fof(t75_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k9_rlvect_1(A,k7_rlvect_1(A,B,k1_rlvect_1(A))) = B
& k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),B)) = B ) ) ),
file('SET007+210.ax',t75_rlvect_1) ).
fof(t76_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),B)) = k1_rlvect_1(A)
& k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,B))) = k1_rlvect_1(A) ) ) ),
file('SET007+210.ax',t76_rlvect_1) ).
fof(t77_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,C))) = k6_rlvect_1(A,B,C) ) ) ),
file('SET007+210.ax',t77_rlvect_1) ).
fof(t78_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C))) = k5_rlvect_1(A,k2_rlvect_1(A,C,B)) ) ) ),
file('SET007+210.ax',t78_rlvect_1) ).
fof(t79_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,B,B)) = k3_rlvect_1(A,B,np__2) ) ),
file('SET007+210.ax',t79_rlvect_1) ).
fof(t80_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,B))) = k3_rlvect_1(A,B,k1_real_1(np__2)) ) ),
file('SET007+210.ax',t80_rlvect_1) ).
fof(t81_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),D))) ) ) ) ),
file('SET007+210.ax',t81_rlvect_1) ).
fof(t82_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D) ) ) ) ),
file('SET007+210.ax',t82_rlvect_1) ).
fof(t83_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k4_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,D)),C) ) ) ) ),
file('SET007+210.ax',t83_rlvect_1) ).
fof(t84_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k4_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B) ) ) ) ),
file('SET007+210.ax',t84_rlvect_1) ).
fof(t85_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,C,D,B)) ) ) ) ),
file('SET007+210.ax',t85_rlvect_1) ).
fof(t86_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) ) ) ) ),
file('SET007+210.ax',t86_rlvect_1) ).
fof(t87_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,B,D,C)) ) ) ) ),
file('SET007+210.ax',t87_rlvect_1) ).
fof(t88_rlvect_1,axiom,
$true,
file('SET007+210.ax',t88_rlvect_1) ).
fof(t89_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,D,B,C)) ) ) ) ),
file('SET007+210.ax',t89_rlvect_1) ).
fof(t90_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),k1_rlvect_1(A))) = k1_rlvect_1(A) ),
file('SET007+210.ax',t90_rlvect_1) ).
fof(t91_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),k1_rlvect_1(A))) = B
& k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,k1_rlvect_1(A))) = B
& k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),B)) = B ) ) ),
file('SET007+210.ax',t91_rlvect_1) ).
fof(t92_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),C)) = k2_rlvect_1(A,B,C)
& k9_rlvect_1(A,k8_rlvect_1(A,B,C,k1_rlvect_1(A))) = k2_rlvect_1(A,B,C)
& k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,C)) = k2_rlvect_1(A,B,C) ) ) ) ),
file('SET007+210.ax',t92_rlvect_1) ).
fof(t93_rlvect_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)) = k3_rlvect_1(A,B,np__3) ) ),
file('SET007+210.ax',t93_rlvect_1) ).
fof(t94_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ( k3_finseq_1(B) = np__0
=> k9_rlvect_1(A,B) = k1_rlvect_1(A) ) ) ),
file('SET007+210.ax',t94_rlvect_1) ).
fof(t95_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ( k3_finseq_1(B) = np__1
=> k9_rlvect_1(A,B) = k1_funct_1(B,np__1) ) ) ),
file('SET007+210.ax',t95_rlvect_1) ).
fof(t96_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( D = k1_funct_1(B,np__2)
& C = k1_funct_1(B,np__1)
& k3_finseq_1(B) = np__2 )
=> k9_rlvect_1(A,B) = k2_rlvect_1(A,C,D) ) ) ) ) ),
file('SET007+210.ax',t96_rlvect_1) ).
fof(t97_rlvect_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( ( E = k1_funct_1(B,np__3)
& D = k1_funct_1(B,np__2)
& C = k1_funct_1(B,np__1)
& k3_finseq_1(B) = np__3 )
=> k9_rlvect_1(A,B) = k2_rlvect_1(A,k2_rlvect_1(A,C,D),E) ) ) ) ) ) ),
file('SET007+210.ax',t97_rlvect_1) ).
fof(d13_rlvect_1,axiom,
! [A] :
( ( l2_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( v8_rlvect_1(B,A)
<=> B != k1_rlvect_1(A) ) ) ),
file('SET007+210.ax',d13_rlvect_1) ).
fof(dt_l1_rlvect_1,axiom,
! [A] :
( l1_rlvect_1(A)
=> l2_struct_0(A) ),
file('SET007+210.ax',dt_l1_rlvect_1) ).
fof(existence_l1_rlvect_1,axiom,
? [A] : l1_rlvect_1(A),
file('SET007+210.ax',existence_l1_rlvect_1) ).
fof(dt_l2_rlvect_1,axiom,
! [A] :
( l2_rlvect_1(A)
=> l1_rlvect_1(A) ),
file('SET007+210.ax',dt_l2_rlvect_1) ).
fof(existence_l2_rlvect_1,axiom,
? [A] : l2_rlvect_1(A),
file('SET007+210.ax',existence_l2_rlvect_1) ).
fof(abstractness_v1_rlvect_1,axiom,
! [A] :
( l1_rlvect_1(A)
=> ( v1_rlvect_1(A)
=> A = g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A)) ) ),
file('SET007+210.ax',abstractness_v1_rlvect_1) ).
fof(abstractness_v2_rlvect_1,axiom,
! [A] :
( l2_rlvect_1(A)
=> ( v2_rlvect_1(A)
=> A = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)) ) ),
file('SET007+210.ax',abstractness_v2_rlvect_1) ).
fof(dt_k1_rlvect_1,axiom,
! [A] :
( l2_struct_0(A)
=> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k1_rlvect_1) ).
fof(dt_k2_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k2_rlvect_1) ).
fof(dt_k3_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_numbers)
& m1_subset_1(B,u1_struct_0(A))
& l2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k3_rlvect_1(A,B,C),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k3_rlvect_1) ).
fof(dt_k4_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k4_rlvect_1(A,B,C),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k4_rlvect_1) ).
fof(commutativity_k4_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k4_rlvect_1(A,B,C) = k4_rlvect_1(A,C,B) ),
file('SET007+210.ax',commutativity_k4_rlvect_1) ).
fof(redefinition_k4_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C) ),
file('SET007+210.ax',redefinition_k4_rlvect_1) ).
fof(dt_k5_rlvect_1,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k5_rlvect_1) ).
fof(dt_k6_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k6_rlvect_1(A,B,C),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k6_rlvect_1) ).
fof(dt_k7_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m2_finseq_1(k7_rlvect_1(A,B,C),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k7_rlvect_1) ).
fof(redefinition_k7_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k7_rlvect_1(A,B,C) = k10_finseq_1(B,C) ),
file('SET007+210.ax',redefinition_k7_rlvect_1) ).
fof(dt_k8_rlvect_1,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m2_finseq_1(k8_rlvect_1(A,B,C,D),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k8_rlvect_1) ).
fof(redefinition_k8_rlvect_1,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k8_rlvect_1(A,B,C,D) = k11_finseq_1(B,C,D) ),
file('SET007+210.ax',redefinition_k8_rlvect_1) ).
fof(dt_k9_rlvect_1,axiom,
! [A,B] :
( ( m1_finseq_1(B,u1_struct_0(A))
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k9_rlvect_1(A,B),u1_struct_0(A)) ),
file('SET007+210.ax',dt_k9_rlvect_1) ).
fof(dt_u1_rlvect_1,axiom,
! [A] :
( l1_rlvect_1(A)
=> ( m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_rlvect_1(A)) ) ),
file('SET007+210.ax',dt_u1_rlvect_1) ).
fof(dt_u2_rlvect_1,axiom,
! [A] :
( l2_rlvect_1(A)
=> ( m2_relset_1(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_rlvect_1(A)) ) ),
file('SET007+210.ax',dt_u2_rlvect_1) ).
fof(dt_g1_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l1_rlvect_1(g1_rlvect_1(A,B,C))
& v1_rlvect_1(g1_rlvect_1(A,B,C)) ) ),
file('SET007+210.ax',dt_g1_rlvect_1) ).
fof(free_g1_rlvect_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [D,E,F] :
( g1_rlvect_1(A,B,C) = g1_rlvect_1(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('SET007+210.ax',free_g1_rlvect_1) ).
fof(dt_g2_rlvect_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
& v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A)
& v1_funct_1(D)
& m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_subset_1(B,A) )
=> ( l2_rlvect_1(g2_rlvect_1(A,B,C,D))
& v2_rlvect_1(g2_rlvect_1(A,B,C,D)) ) ),
file('SET007+210.ax',dt_g2_rlvect_1) ).
fof(free_g2_rlvect_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
& v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A)
& v1_funct_1(D)
& m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_subset_1(B,A) )
=> ! [E,F,G,H] :
( g2_rlvect_1(A,B,C,D) = g2_rlvect_1(E,F,G,H)
=> ( D = H
& C = G
& B = F
& A = E ) ) ),
file('SET007+210.ax',free_g2_rlvect_1) ).
fof(rc1_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& v2_rlvect_1(B)
& ~ v3_struct_0(B)
& m1_rlsub_1(B,A) ) ),
file('SET007+211.ax',rc1_rlsub_1) ).
fof(d1_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_rlsub_1(B,A)
<=> ( ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r2_hidden(D,B)
=> r2_hidden(k3_rlvect_1(A,D,C),B) ) ) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(D,B)
& r2_hidden(C,B) )
=> r2_hidden(k4_rlvect_1(A,C,D),B) ) ) ) ) ) ) ),
file('SET007+211.ax',d1_rlsub_1) ).
fof(t1_rlsub_1,axiom,
$true,
file('SET007+211.ax',t1_rlsub_1) ).
fof(t2_rlsub_1,axiom,
$true,
file('SET007+211.ax',t2_rlsub_1) ).
fof(t3_rlsub_1,axiom,
$true,
file('SET007+211.ax',t3_rlsub_1) ).
fof(t4_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_rlsub_1(B,A)
=> ( r2_hidden(k1_rlvect_1(A),B)
| B = k1_xboole_0 ) ) ) ),
file('SET007+211.ax',t4_rlsub_1) ).
fof(t5_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_rlsub_1(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,B)
=> r2_hidden(k5_rlvect_1(A,C),B) ) ) ) ) ),
file('SET007+211.ax',t5_rlsub_1) ).
fof(t6_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_rlsub_1(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(D,B)
& r2_hidden(C,B) )
=> r2_hidden(k6_rlvect_1(A,C,D),B) ) ) ) ) ) ),
file('SET007+211.ax',t6_rlsub_1) ).
fof(t7_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> v1_rlsub_1(k1_struct_0(A,k1_rlvect_1(A)),A) ),
file('SET007+211.ax',t7_rlsub_1) ).
fof(t8_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( u1_struct_0(A) = B
=> v1_rlsub_1(B,A) ) ) ),
file('SET007+211.ax',t8_rlsub_1) ).
fof(t10_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( v1_rlsub_1(C,A)
& v1_rlsub_1(B,A) )
=> v1_rlsub_1(k5_subset_1(u1_struct_0(A),B,C),A) ) ) ) ),
file('SET007+211.ax',t10_rlsub_1) ).
fof(d2_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( m1_rlsub_1(B,A)
<=> ( u2_rlvect_1(B) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B)))
& u1_rlvect_1(B) = k1_realset1(u1_rlvect_1(A),u1_struct_0(B))
& u2_struct_0(B) = u2_struct_0(A)
& r1_tarski(u1_struct_0(B),u1_struct_0(A)) ) ) ) ),
file('SET007+211.ax',d2_rlsub_1) ).
fof(t11_rlsub_1,axiom,
$true,
file('SET007+211.ax',t11_rlsub_1) ).
fof(t12_rlsub_1,axiom,
$true,
file('SET007+211.ax',t12_rlsub_1) ).
fof(t13_rlsub_1,axiom,
$true,
file('SET007+211.ax',t13_rlsub_1) ).
fof(t14_rlsub_1,axiom,
$true,
file('SET007+211.ax',t14_rlsub_1) ).
fof(t15_rlsub_1,axiom,
$true,
file('SET007+211.ax',t15_rlsub_1) ).
fof(t16_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B,C] :
( m1_rlsub_1(C,A)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( ( m1_rlsub_1(C,D)
& r1_rlvect_1(C,B) )
=> r1_rlvect_1(D,B) ) ) ) ),
file('SET007+211.ax',t16_rlsub_1) ).
fof(t17_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B,C] :
( m1_rlsub_1(C,A)
=> ( r1_rlvect_1(C,B)
=> r1_rlvect_1(A,B) ) ) ),
file('SET007+211.ax',t17_rlsub_1) ).
fof(t18_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> m1_subset_1(C,u1_struct_0(A)) ) ) ),
file('SET007+211.ax',t18_rlsub_1) ).
fof(t19_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> k1_rlvect_1(B) = k1_rlvect_1(A) ) ),
file('SET007+211.ax',t19_rlsub_1) ).
fof(t20_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_rlsub_1(C,A)
=> k1_rlvect_1(B) = k1_rlvect_1(C) ) ) ),
file('SET007+211.ax',t20_rlsub_1) ).
fof(t21_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(D))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(D))
=> ( ( F = C
& E = B )
=> k4_rlvect_1(D,E,F) = k4_rlvect_1(A,B,C) ) ) ) ) ) ) ),
file('SET007+211.ax',t21_rlsub_1) ).
fof(t22_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(D))
=> ( E = B
=> k3_rlvect_1(D,E,C) = k3_rlvect_1(A,B,C) ) ) ) ) ) ),
file('SET007+211.ax',t22_rlsub_1) ).
fof(t23_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( D = B
=> k5_rlvect_1(A,B) = k5_rlvect_1(C,D) ) ) ) ) ),
file('SET007+211.ax',t23_rlsub_1) ).
fof(t24_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(D))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(D))
=> ( ( F = C
& E = B )
=> k6_rlvect_1(D,E,F) = k6_rlvect_1(A,B,C) ) ) ) ) ) ) ),
file('SET007+211.ax',t24_rlsub_1) ).
fof(t25_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> r1_rlvect_1(B,k1_rlvect_1(A)) ) ),
file('SET007+211.ax',t25_rlsub_1) ).
fof(t26_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_rlsub_1(C,A)
=> r1_rlvect_1(C,k1_rlvect_1(B)) ) ) ),
file('SET007+211.ax',t26_rlsub_1) ).
fof(t27_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> r1_rlvect_1(A,k1_rlvect_1(B)) ) ),
file('SET007+211.ax',t27_rlsub_1) ).
fof(t28_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( ( r1_rlvect_1(D,C)
& r1_rlvect_1(D,B) )
=> r1_rlvect_1(D,k4_rlvect_1(A,B,C)) ) ) ) ) ),
file('SET007+211.ax',t28_rlsub_1) ).
fof(t29_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r1_rlvect_1(D,B)
=> r1_rlvect_1(D,k3_rlvect_1(A,B,C)) ) ) ) ) ),
file('SET007+211.ax',t29_rlsub_1) ).
fof(t30_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r1_rlvect_1(C,B)
=> r1_rlvect_1(C,k5_rlvect_1(A,B)) ) ) ) ),
file('SET007+211.ax',t30_rlsub_1) ).
fof(t31_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( ( r1_rlvect_1(D,C)
& r1_rlvect_1(D,B) )
=> r1_rlvect_1(D,k6_rlvect_1(A,B,C)) ) ) ) ) ),
file('SET007+211.ax',t31_rlsub_1) ).
fof(t32_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( ~ v1_xboole_0(C)
=> ! [D] :
( m1_subset_1(D,C)
=> ! [E] :
( ( m2_relset_1(E,k2_zfmisc_1(C,C),C)
& v1_funct_2(E,k2_zfmisc_1(C,C),C)
& v1_funct_1(E) )
=> ! [F] :
( ( m2_relset_1(F,k2_zfmisc_1(k1_numbers,C),C)
& v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C)
& v1_funct_1(F) )
=> ( ( F = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,B))
& E = k1_realset1(u1_rlvect_1(A),B)
& D = k1_rlvect_1(A)
& B = C )
=> m1_rlsub_1(g2_rlvect_1(C,D,E,F),A) ) ) ) ) ) ) ),
file('SET007+211.ax',t32_rlsub_1) ).
fof(t33_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlsub_1(A,A) ),
file('SET007+211.ax',t33_rlsub_1) ).
fof(t34_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& v2_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( ( m1_rlsub_1(B,A)
& m1_rlsub_1(A,B) )
=> A = B ) ) ),
file('SET007+211.ax',t34_rlsub_1) ).
fof(t35_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l2_rlvect_1(C)
& v7_rlvect_1(C)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ( ( m1_rlsub_1(B,C)
& m1_rlsub_1(A,B) )
=> m1_rlsub_1(A,C) ) ) ) ),
file('SET007+211.ax',t35_rlsub_1) ).
fof(t36_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r1_tarski(u1_struct_0(B),u1_struct_0(C))
=> m1_rlsub_1(B,C) ) ) ) ),
file('SET007+211.ax',t36_rlsub_1) ).
fof(t37_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_rlvect_1(B,D)
=> r1_rlvect_1(C,D) ) )
=> m1_rlsub_1(B,C) ) ) ) ),
file('SET007+211.ax',t37_rlsub_1) ).
fof(t38_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_rlsub_1(B,A)
& v2_rlvect_1(B) )
=> ! [C] :
( ( m1_rlsub_1(C,A)
& v2_rlvect_1(C) )
=> ( u1_struct_0(B) = u1_struct_0(C)
=> B = C ) ) ) ),
file('SET007+211.ax',t38_rlsub_1) ).
fof(t39_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_rlsub_1(B,A)
& v2_rlvect_1(B) )
=> ! [C] :
( ( m1_rlsub_1(C,A)
& v2_rlvect_1(C) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( r1_rlvect_1(B,D)
<=> r1_rlvect_1(C,D) ) )
=> B = C ) ) ) ),
file('SET007+211.ax',t39_rlsub_1) ).
fof(t40_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_rlsub_1(B,A)
& v2_rlvect_1(B) )
=> ( u1_struct_0(B) = u1_struct_0(A)
=> B = A ) ) ),
file('SET007+211.ax',t40_rlsub_1) ).
fof(t41_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_rlsub_1(B,A)
& v2_rlvect_1(B) )
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r1_rlvect_1(B,C)
<=> r1_rlvect_1(A,C) ) )
=> B = A ) ) ),
file('SET007+211.ax',t41_rlsub_1) ).
fof(t42_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( u1_struct_0(C) = B
=> v1_rlsub_1(B,A) ) ) ) ),
file('SET007+211.ax',t42_rlsub_1) ).
fof(t43_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( ! [C] :
( ( m1_rlsub_1(C,A)
& v2_rlvect_1(C) )
=> B != u1_struct_0(C) )
& v1_rlsub_1(B,A)
& B != k1_xboole_0 ) ) ),
file('SET007+211.ax',t43_rlsub_1) ).
fof(d3_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_rlsub_1(B,A)
& v2_rlvect_1(B) )
=> ( B = k1_rlsub_1(A)
<=> u1_struct_0(B) = k1_struct_0(A,k1_rlvect_1(A)) ) ) ),
file('SET007+211.ax',d3_rlsub_1) ).
fof(d4_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k2_rlsub_1(A) = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)) ),
file('SET007+211.ax',d4_rlsub_1) ).
fof(t44_rlsub_1,axiom,
$true,
file('SET007+211.ax',t44_rlsub_1) ).
fof(t45_rlsub_1,axiom,
$true,
file('SET007+211.ax',t45_rlsub_1) ).
fof(t46_rlsub_1,axiom,
$true,
file('SET007+211.ax',t46_rlsub_1) ).
fof(t47_rlsub_1,axiom,
$true,
file('SET007+211.ax',t47_rlsub_1) ).
fof(t48_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> k1_rlsub_1(B) = k1_rlsub_1(A) ) ),
file('SET007+211.ax',t48_rlsub_1) ).
fof(t49_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_rlsub_1(C,A)
=> k1_rlsub_1(B) = k1_rlsub_1(C) ) ) ),
file('SET007+211.ax',t49_rlsub_1) ).
fof(t50_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> m1_rlsub_1(k1_rlsub_1(B),A) ) ),
file('SET007+211.ax',t50_rlsub_1) ).
fof(t51_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> m1_rlsub_1(k1_rlsub_1(A),B) ) ),
file('SET007+211.ax',t51_rlsub_1) ).
fof(t52_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_rlsub_1(C,A)
=> m1_rlsub_1(k1_rlsub_1(B),C) ) ) ),
file('SET007+211.ax',t52_rlsub_1) ).
fof(t53_rlsub_1,axiom,
$true,
file('SET007+211.ax',t53_rlsub_1) ).
fof(t54_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v2_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlsub_1(A,k2_rlsub_1(A)) ),
file('SET007+211.ax',t54_rlsub_1) ).
fof(d6_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( m2_rlsub_1(C,A,B)
<=> ? [D] :
( C = k3_rlsub_1(A,D,B)
& m1_subset_1(D,u1_struct_0(A)) ) ) ) ) ),
file('SET007+211.ax',d6_rlsub_1) ).
fof(t55_rlsub_1,axiom,
$true,
file('SET007+211.ax',t55_rlsub_1) ).
fof(t56_rlsub_1,axiom,
$true,
file('SET007+211.ax',t56_rlsub_1) ).
fof(t57_rlsub_1,axiom,
$true,
file('SET007+211.ax',t57_rlsub_1) ).
fof(t58_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))
<=> r1_rlvect_1(C,B) ) ) ) ),
file('SET007+211.ax',t58_rlsub_1) ).
fof(t59_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> r2_hidden(B,k3_rlsub_1(A,B,C)) ) ) ),
file('SET007+211.ax',t59_rlsub_1) ).
fof(t60_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> k3_rlsub_1(A,k1_rlvect_1(A),B) = u1_struct_0(B) ) ),
file('SET007+211.ax',t60_rlsub_1) ).
fof(t61_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k3_rlsub_1(A,B,k1_rlsub_1(A)) = k1_struct_0(A,B) ) ),
file('SET007+211.ax',t61_rlsub_1) ).
fof(t62_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k3_rlsub_1(A,B,k2_rlsub_1(A)) = u1_struct_0(A) ) ),
file('SET007+211.ax',t62_rlsub_1) ).
fof(t63_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))
<=> k3_rlsub_1(A,B,C) = u1_struct_0(C) ) ) ) ),
file('SET007+211.ax',t63_rlsub_1) ).
fof(t64_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r1_rlvect_1(C,B)
<=> k3_rlsub_1(A,B,C) = u1_struct_0(C) ) ) ) ),
file('SET007+211.ax',t64_rlsub_1) ).
fof(t65_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r1_rlvect_1(D,B)
=> k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) = u1_struct_0(D) ) ) ) ) ),
file('SET007+211.ax',t65_rlsub_1) ).
fof(t66_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) = u1_struct_0(D)
=> ( r1_rlvect_1(D,B)
| C = np__0 ) ) ) ) ) ),
file('SET007+211.ax',t66_rlsub_1) ).
fof(t67_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r1_rlvect_1(C,B)
<=> k3_rlsub_1(A,k5_rlvect_1(A,B),C) = u1_struct_0(C) ) ) ) ),
file('SET007+211.ax',t67_rlsub_1) ).
fof(t68_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r1_rlvect_1(D,B)
<=> k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k4_rlvect_1(A,C,B),D) ) ) ) ) ),
file('SET007+211.ax',t68_rlsub_1) ).
fof(t69_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r1_rlvect_1(D,B)
<=> k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k6_rlvect_1(A,C,B),D) ) ) ) ) ),
file('SET007+211.ax',t69_rlsub_1) ).
fof(t70_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r2_hidden(B,k3_rlsub_1(A,C,D))
<=> k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D) ) ) ) ) ),
file('SET007+211.ax',t70_rlsub_1) ).
fof(t71_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( k3_rlsub_1(A,B,C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C)
<=> r1_rlvect_1(C,B) ) ) ) ),
file('SET007+211.ax',t71_rlsub_1) ).
fof(t72_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_rlsub_1(E,A)
=> ( ( r2_hidden(B,k3_rlsub_1(A,D,E))
& r2_hidden(B,k3_rlsub_1(A,C,E)) )
=> k3_rlsub_1(A,C,E) = k3_rlsub_1(A,D,E) ) ) ) ) ) ),
file('SET007+211.ax',t72_rlsub_1) ).
fof(t73_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( ( r2_hidden(B,k3_rlsub_1(A,k5_rlvect_1(A,C),D))
& r2_hidden(B,k3_rlsub_1(A,C,D)) )
=> r1_rlvect_1(D,C) ) ) ) ) ),
file('SET007+211.ax',t73_rlsub_1) ).
fof(t74_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))
=> ( r1_rlvect_1(D,B)
| C = np__1 ) ) ) ) ) ),
file('SET007+211.ax',t74_rlsub_1) ).
fof(t75_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r1_rlvect_1(D,B)
=> r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D)) ) ) ) ) ),
file('SET007+211.ax',t75_rlsub_1) ).
fof(t76_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ( r2_hidden(k5_rlvect_1(A,B),k3_rlsub_1(A,B,C))
<=> r1_rlvect_1(C,B) ) ) ) ),
file('SET007+211.ax',t76_rlsub_1) ).
fof(t77_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r2_hidden(k4_rlvect_1(A,B,C),k3_rlsub_1(A,C,D))
<=> r1_rlvect_1(D,B) ) ) ) ) ),
file('SET007+211.ax',t77_rlsub_1) ).
fof(t78_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r2_hidden(k6_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))
<=> r1_rlvect_1(D,C) ) ) ) ) ),
file('SET007+211.ax',t78_rlsub_1) ).
fof(t79_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r2_hidden(B,k3_rlsub_1(A,C,D))
<=> ? [E] :
( B = k4_rlvect_1(A,C,E)
& r1_rlvect_1(D,E)
& m1_subset_1(E,u1_struct_0(A)) ) ) ) ) ) ),
file('SET007+211.ax',t79_rlsub_1) ).
fof(t80_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( r2_hidden(B,k3_rlsub_1(A,C,D))
<=> ? [E] :
( B = k6_rlvect_1(A,C,E)
& r1_rlvect_1(D,E)
& m1_subset_1(E,u1_struct_0(A)) ) ) ) ) ) ),
file('SET007+211.ax',t80_rlsub_1) ).
fof(t81_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( ? [E] :
( r2_hidden(C,k3_rlsub_1(A,E,D))
& r2_hidden(B,k3_rlsub_1(A,E,D))
& m1_subset_1(E,u1_struct_0(A)) )
<=> r1_rlvect_1(D,k6_rlvect_1(A,B,C)) ) ) ) ) ),
file('SET007+211.ax',t81_rlsub_1) ).
fof(t82_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ~ ( ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ~ ( k4_rlvect_1(A,B,E) = C
& r1_rlvect_1(D,E) ) )
& k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,D) ) ) ) ) ),
file('SET007+211.ax',t82_rlsub_1) ).
fof(t83_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ~ ( ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ~ ( k6_rlvect_1(A,B,E) = C
& r1_rlvect_1(D,E) ) )
& k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,D) ) ) ) ) ),
file('SET007+211.ax',t83_rlsub_1) ).
fof(t84_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( m1_rlsub_1(C,A)
& v2_rlvect_1(C) )
=> ! [D] :
( ( m1_rlsub_1(D,A)
& v2_rlvect_1(D) )
=> ( k3_rlsub_1(A,B,C) = k3_rlsub_1(A,B,D)
<=> C = D ) ) ) ) ),
file('SET007+211.ax',t84_rlsub_1) ).
fof(t85_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( ( m1_rlsub_1(D,A)
& v2_rlvect_1(D) )
=> ! [E] :
( ( m1_rlsub_1(E,A)
& v2_rlvect_1(E) )
=> ( k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,E)
=> D = E ) ) ) ) ) ),
file('SET007+211.ax',t85_rlsub_1) ).
fof(t86_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m2_rlsub_1(C,A,B)
=> ( v1_rlsub_1(C,A)
<=> C = u1_struct_0(B) ) ) ) ),
file('SET007+211.ax',t86_rlsub_1) ).
fof(t87_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_rlsub_1(B,A)
& v2_rlvect_1(B) )
=> ! [C] :
( ( m1_rlsub_1(C,A)
& v2_rlvect_1(C) )
=> ! [D] :
( m2_rlsub_1(D,A,B)
=> ! [E] :
( m2_rlsub_1(E,A,C)
=> ( D = E
=> B = C ) ) ) ) ) ),
file('SET007+211.ax',t87_rlsub_1) ).
fof(t88_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> m2_rlsub_1(k1_struct_0(A,B),A,k1_rlsub_1(A)) ) ),
file('SET007+211.ax',t88_rlsub_1) ).
fof(t89_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> B != k1_struct_0(A,C) )
& m2_rlsub_1(B,A,k1_rlsub_1(A)) ) ) ),
file('SET007+211.ax',t89_rlsub_1) ).
fof(t90_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> m2_rlsub_1(u1_struct_0(B),A,B) ) ),
file('SET007+211.ax',t90_rlsub_1) ).
fof(t91_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m2_rlsub_1(u1_struct_0(A),A,k2_rlsub_1(A)) ),
file('SET007+211.ax',t91_rlsub_1) ).
fof(t92_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( m2_rlsub_1(B,A,k2_rlsub_1(A))
=> B = u1_struct_0(A) ) ) ),
file('SET007+211.ax',t92_rlsub_1) ).
fof(t93_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ! [C] :
( m2_rlsub_1(C,A,B)
=> ( r2_hidden(k1_rlvect_1(A),C)
<=> C = u1_struct_0(B) ) ) ) ),
file('SET007+211.ax',t93_rlsub_1) ).
fof(t94_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ! [D] :
( m2_rlsub_1(D,A,C)
=> ( r2_hidden(B,D)
<=> D = k3_rlsub_1(A,B,C) ) ) ) ) ),
file('SET007+211.ax',t94_rlsub_1) ).
fof(t95_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ! [E] :
( m2_rlsub_1(E,A,D)
=> ~ ( ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( k4_rlvect_1(A,B,F) = C
& r1_rlvect_1(D,F) ) )
& r2_hidden(C,E)
& r2_hidden(B,E) ) ) ) ) ) ),
file('SET007+211.ax',t95_rlsub_1) ).
fof(t96_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ! [E] :
( m2_rlsub_1(E,A,D)
=> ~ ( ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( k6_rlvect_1(A,B,F) = C
& r1_rlvect_1(D,F) ) )
& r2_hidden(C,E)
& r2_hidden(B,E) ) ) ) ) ) ),
file('SET007+211.ax',t96_rlsub_1) ).
fof(t97_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlsub_1(D,A)
=> ( ? [E] :
( r2_hidden(C,E)
& r2_hidden(B,E)
& m2_rlsub_1(E,A,D) )
<=> r1_rlvect_1(D,k6_rlvect_1(A,B,C)) ) ) ) ) ),
file('SET007+211.ax',t97_rlsub_1) ).
fof(t98_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> ! [D] :
( m2_rlsub_1(D,A,C)
=> ! [E] :
( m2_rlsub_1(E,A,C)
=> ( ( r2_hidden(B,E)
& r2_hidden(B,D) )
=> D = E ) ) ) ) ) ),
file('SET007+211.ax',t98_rlsub_1) ).
fof(dt_m1_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlsub_1(B,A)
=> ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) ) ) ),
file('SET007+211.ax',dt_m1_rlsub_1) ).
fof(existence_m1_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] : m1_rlsub_1(B,A) ),
file('SET007+211.ax',existence_m1_rlsub_1) ).
fof(dt_m2_rlsub_1,axiom,
! [A,B] :
( ( m1_rlsub_1(B,A)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_rlsub_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('SET007+211.ax',dt_m2_rlsub_1) ).
fof(existence_m2_rlsub_1,axiom,
! [A,B] :
( ( m1_rlsub_1(B,A)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] : m2_rlsub_1(C,A,B) ),
file('SET007+211.ax',existence_m2_rlsub_1) ).
fof(dt_k1_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rlsub_1(k1_rlsub_1(A),A)
& v2_rlvect_1(k1_rlsub_1(A)) ) ),
file('SET007+211.ax',dt_k1_rlsub_1) ).
fof(dt_k2_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rlsub_1(k2_rlsub_1(A),A)
& v2_rlvect_1(k2_rlsub_1(A)) ) ),
file('SET007+211.ax',dt_k2_rlsub_1) ).
fof(dt_k3_rlsub_1,axiom,
! [A,B,C] :
( ( m1_rlsub_1(C,A)
& m1_subset_1(B,u1_struct_0(A))
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k3_rlsub_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ),
file('SET007+211.ax',dt_k3_rlsub_1) ).
fof(t9_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( D = a_3_0_rlsub_1(A,B,C)
& v1_rlsub_1(C,A)
& v1_rlsub_1(B,A) )
=> v1_rlsub_1(D,A) ) ) ) ) ),
file('SET007+211.ax',t9_rlsub_1) ).
fof(d5_rlsub_1,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlsub_1(C,A)
=> k3_rlsub_1(A,B,C) = a_3_1_rlsub_1(A,B,C) ) ) ),
file('SET007+211.ax',d5_rlsub_1) ).
fof(fraenkel_a_3_0_rlsub_1,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_3_0_rlsub_1(B,C,D))
<=> ? [E,F] :
( r2_hidden(F,D)
& r2_hidden(E,C)
& A = k4_rlvect_1(B,E,F)
& m1_subset_1(F,u1_struct_0(B))
& m1_subset_1(E,u1_struct_0(B)) ) ) ),
file('SET007+211.ax',fraenkel_a_3_0_rlsub_1) ).
fof(fraenkel_a_3_1_rlsub_1,axiom,
! [A,B,C,D] :
( ( m1_rlsub_1(D,B)
& m1_subset_1(C,u1_struct_0(B))
& l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_3_1_rlsub_1(B,C,D))
<=> ? [E] :
( r1_rlvect_1(D,E)
& A = k4_rlvect_1(B,C,E)
& m1_subset_1(E,u1_struct_0(B)) ) ) ),
file('SET007+211.ax',fraenkel_a_3_1_rlsub_1) ).
fof(rc1_group_1,axiom,
? [A] :
( v1_group_1(A)
& l1_group_1(A) ),
file('SET007+212.ax',rc1_group_1) ).
fof(rc2_group_1,axiom,
? [A] :
( v1_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
file('SET007+212.ax',rc2_group_1) ).
fof(fc1_group_1,axiom,
! [A,B] :
( ( m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B)
& ~ v1_xboole_0(A) )
=> ( v1_group_1(g1_group_1(A,B))
& ~ v3_struct_0(g1_group_1(A,B)) ) ),
file('SET007+212.ax',fc1_group_1) ).
fof(cc1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> ( ( v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( v2_group_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+212.ax',cc1_group_1) ).
fof(rc3_group_1,axiom,
? [A] :
( v4_group_1(A)
& v3_group_1(A)
& v2_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
file('SET007+212.ax',rc3_group_1) ).
fof(rc4_group_1,axiom,
? [A] :
( v7_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v2_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
file('SET007+212.ax',rc4_group_1) ).
fof(fc2_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B)
& ~ v1_xboole_0(A) )
=> ( v1_rlvect_1(g1_rlvect_1(A,B,C))
& ~ v3_struct_0(g1_rlvect_1(A,B,C)) ) ),
file('SET007+212.ax',fc2_group_1) ).
fof(d1_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C) ) ) ),
file('SET007+212.ax',d1_group_1) ).
fof(d2_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( v2_group_1(A)
<=> ? [B] :
( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C ) )
& m1_subset_1(B,u1_struct_0(A)) ) ) ),
file('SET007+212.ax',d2_group_1) ).
fof(d3_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( v3_group_1(A)
<=> ? [B] :
( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ? [D] :
( k1_group_1(A,D,C) = B
& k1_group_1(A,C,D) = B
& m1_subset_1(D,u1_struct_0(A)) )
& k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C ) )
& m1_subset_1(B,u1_struct_0(A)) ) ) ),
file('SET007+212.ax',d3_group_1) ).
fof(d4_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( v4_group_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)) ) ) ) ) ),
file('SET007+212.ax',d4_group_1) ).
fof(t1_group_1,axiom,
$true,
file('SET007+212.ax',t1_group_1) ).
fof(t2_group_1,axiom,
$true,
file('SET007+212.ax',t2_group_1) ).
fof(t3_group_1,axiom,
$true,
file('SET007+212.ax',t3_group_1) ).
fof(t4_group_1,axiom,
$true,
file('SET007+212.ax',t4_group_1) ).
fof(t5_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)) ) ) )
=> ( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
| ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ~ ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ? [D] :
( k1_group_1(A,D,C) = B
& k1_group_1(A,C,D) = B
& m1_subset_1(D,u1_struct_0(A)) )
& k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C ) ) ) ) ) ),
file('SET007+212.ax',t5_group_1) ).
fof(t6_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ? [D] :
( k1_group_1(A,D,B) = C
& m1_subset_1(D,u1_struct_0(A)) )
& ? [D] :
( k1_group_1(A,B,D) = C
& m1_subset_1(D,u1_struct_0(A)) ) ) ) )
& ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)) ) ) ) )
=> ( v3_group_1(A)
& v4_group_1(A) ) ) ),
file('SET007+212.ax',t6_group_1) ).
fof(t7_group_1,axiom,
( v3_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v4_group_1(g1_group_1(k1_numbers,k33_binop_2)) ),
file('SET007+212.ax',t7_group_1) ).
fof(d5_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( v2_group_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B = k2_group_1(A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C ) ) ) ) ) ),
file('SET007+212.ax',d5_group_1) ).
fof(t8_group_1,axiom,
$true,
file('SET007+212.ax',t8_group_1) ).
fof(t9_group_1,axiom,
$true,
file('SET007+212.ax',t9_group_1) ).
fof(t10_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C ) )
=> B = k2_group_1(A) ) ) ),
file('SET007+212.ax',t10_group_1) ).
fof(d6_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k3_group_1(A,B)
<=> ( k1_group_1(A,C,B) = k2_group_1(A)
& k1_group_1(A,B,C) = k2_group_1(A) ) ) ) ) ),
file('SET007+212.ax',d6_group_1) ).
fof(t11_group_1,axiom,
$true,
file('SET007+212.ax',t11_group_1) ).
fof(t12_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( k1_group_1(A,C,B) = k2_group_1(A)
& k1_group_1(A,B,C) = k2_group_1(A) )
=> C = k3_group_1(A,B) ) ) ) ),
file('SET007+212.ax',t12_group_1) ).
fof(t13_group_1,axiom,
$true,
file('SET007+212.ax',t13_group_1) ).
fof(t14_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( k1_group_1(A,C,B) = k1_group_1(A,D,B)
| k1_group_1(A,B,C) = k1_group_1(A,B,D) )
=> C = D ) ) ) ) ),
file('SET007+212.ax',t14_group_1) ).
fof(t15_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( k1_group_1(A,C,B) = B
| k1_group_1(A,B,C) = B )
=> C = k2_group_1(A) ) ) ) ),
file('SET007+212.ax',t15_group_1) ).
fof(t16_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> k3_group_1(A,k2_group_1(A)) = k2_group_1(A) ),
file('SET007+212.ax',t16_group_1) ).
fof(t17_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k3_group_1(A,B) = k3_group_1(A,C)
=> B = C ) ) ) ),
file('SET007+212.ax',t17_group_1) ).
fof(t18_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k3_group_1(A,B) = k2_group_1(A)
=> B = k2_group_1(A) ) ) ),
file('SET007+212.ax',t18_group_1) ).
fof(t19_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k3_group_1(A,k3_group_1(A,B)) = B ) ),
file('SET007+212.ax',t19_group_1) ).
fof(t20_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( k1_group_1(A,C,B) = k2_group_1(A)
| k1_group_1(A,B,C) = k2_group_1(A) )
=> ( C = k3_group_1(A,B)
& B = k3_group_1(A,C) ) ) ) ) ),
file('SET007+212.ax',t20_group_1) ).
fof(t21_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = D
<=> C = k1_group_1(A,k3_group_1(A,B),D) ) ) ) ) ),
file('SET007+212.ax',t21_group_1) ).
fof(t22_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = D
<=> B = k1_group_1(A,D,k3_group_1(A,C)) ) ) ) ) ),
file('SET007+212.ax',t22_group_1) ).
fof(t23_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ? [D] :
( k1_group_1(A,B,D) = C
& m1_subset_1(D,u1_struct_0(A)) ) ) ) ),
file('SET007+212.ax',t23_group_1) ).
fof(t24_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ? [D] :
( k1_group_1(A,D,B) = C
& m1_subset_1(D,u1_struct_0(A)) ) ) ) ),
file('SET007+212.ax',t24_group_1) ).
fof(t25_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) ) ) ),
file('SET007+212.ax',t25_group_1) ).
fof(t26_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k1_group_1(A,C,B)
<=> k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) ) ) ) ),
file('SET007+212.ax',t26_group_1) ).
fof(t27_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k1_group_1(A,C,B)
<=> k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) ) ) ) ),
file('SET007+212.ax',t27_group_1) ).
fof(t28_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k1_group_1(A,C,B)
<=> k1_group_1(A,B,k3_group_1(A,C)) = k1_group_1(A,k3_group_1(A,C),B) ) ) ) ),
file('SET007+212.ax',t28_group_1) ).
fof(d7_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( B = k4_group_1(A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k3_group_1(A,C) ) ) ) ),
file('SET007+212.ax',d7_group_1) ).
fof(t29_group_1,axiom,
$true,
file('SET007+212.ax',t29_group_1) ).
fof(t30_group_1,axiom,
$true,
file('SET007+212.ax',t30_group_1) ).
fof(t31_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A) )
=> v2_binop_1(u1_group_1(A),u1_struct_0(A)) ),
file('SET007+212.ax',t31_group_1) ).
fof(t32_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) )
=> r3_binop_1(u1_struct_0(A),k2_group_1(A),u1_group_1(A)) ),
file('SET007+212.ax',t32_group_1) ).
fof(t33_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) )
=> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k2_group_1(A) ),
file('SET007+212.ax',t33_group_1) ).
fof(t34_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) )
=> v1_setwiseo(u1_group_1(A),u1_struct_0(A)) ),
file('SET007+212.ax',t34_group_1) ).
fof(t35_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> r1_finseqop(u1_struct_0(A),k4_group_1(A),u1_group_1(A)) ),
file('SET007+212.ax',t35_group_1) ).
fof(t36_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> v1_finseqop(u1_group_1(A),u1_struct_0(A)) ),
file('SET007+212.ax',t36_group_1) ).
fof(t37_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> k6_finseqop(u1_struct_0(A),u1_group_1(A)) = k4_group_1(A) ),
file('SET007+212.ax',t37_group_1) ).
fof(d8_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
& v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
& v1_funct_1(B) )
=> ( B = k5_group_1(A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,k1_nat_1(D,np__1)) = k1_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,D),C) )
& k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0) = k2_group_1(A) ) ) ) ) ),
file('SET007+212.ax',d8_group_1) ).
fof(d9_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( ~ r1_xreal_0(np__0,B)
=> k6_group_1(A,B,C) = k3_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))) )
& ( r1_xreal_0(np__0,B)
=> k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B)) ) ) ) ) ),
file('SET007+212.ax',d9_group_1) ).
fof(d10_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,B) ) ) ),
file('SET007+212.ax',d10_group_1) ).
fof(t38_group_1,axiom,
$true,
file('SET007+212.ax',t38_group_1) ).
fof(t39_group_1,axiom,
$true,
file('SET007+212.ax',t39_group_1) ).
fof(t40_group_1,axiom,
$true,
file('SET007+212.ax',t40_group_1) ).
fof(t41_group_1,axiom,
$true,
file('SET007+212.ax',t41_group_1) ).
fof(t42_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B) ) ),
file('SET007+212.ax',t42_group_1) ).
fof(t43_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_group_1(A,np__0,B) = k2_group_1(A) ) ),
file('SET007+212.ax',t43_group_1) ).
fof(t44_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_group_1(A,np__1,B) = B ) ),
file('SET007+212.ax',t44_group_1) ).
fof(t45_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_group_1(A,np__2,B) = k1_group_1(A,B,B) ) ),
file('SET007+212.ax',t45_group_1) ).
fof(t46_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_group_1(A,np__3,B) = k1_group_1(A,k1_group_1(A,B,B),B) ) ),
file('SET007+212.ax',t46_group_1) ).
fof(t47_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k6_group_1(A,np__2,B) = k2_group_1(A)
<=> k3_group_1(A,B) = B ) ) ),
file('SET007+212.ax',t47_group_1) ).
fof(t48_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k1_nat_1(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) ) ) ) ),
file('SET007+212.ax',t48_group_1) ).
fof(t49_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C))
& k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C) ) ) ) ),
file('SET007+212.ax',t49_group_1) ).
fof(t50_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k2_nat_1(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)) ) ) ) ),
file('SET007+212.ax',t50_group_1) ).
fof(t51_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k6_group_1(B,A,k3_group_1(B,C)) = k3_group_1(B,k6_group_1(B,A,C)) ) ) ),
file('SET007+212.ax',t51_group_1) ).
fof(t52_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( k1_group_1(B,C,D) = k1_group_1(B,D,C)
=> k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C) ) ) ) ) ),
file('SET007+212.ax',t52_group_1) ).
fof(t53_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(C))
=> ( k1_group_1(C,D,E) = k1_group_1(C,E,D)
=> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D)) ) ) ) ) ) ),
file('SET007+212.ax',t53_group_1) ).
fof(t54_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( k1_group_1(B,C,D) = k1_group_1(B,D,C)
=> k6_group_1(B,A,k1_group_1(B,C,D)) = k1_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) ) ) ) ) ),
file('SET007+212.ax',t54_group_1) ).
fof(t55_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( r1_xreal_0(np__0,A)
=> k6_group_1(B,A,C) = k6_group_1(B,k1_int_2(A),C) ) ) ) ),
file('SET007+212.ax',t55_group_1) ).
fof(t56_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( ~ r1_xreal_0(np__0,A)
=> k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C)) ) ) ) ),
file('SET007+212.ax',t56_group_1) ).
fof(t57_group_1,axiom,
$true,
file('SET007+212.ax',t57_group_1) ).
fof(t58_group_1,axiom,
$true,
file('SET007+212.ax',t58_group_1) ).
fof(t59_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( A = np__0
=> k6_group_1(B,A,C) = k2_group_1(B) ) ) ) ),
file('SET007+212.ax',t59_group_1) ).
fof(t60_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( r1_xreal_0(A,np__0)
=> k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C)) ) ) ) ),
file('SET007+212.ax',t60_group_1) ).
fof(t61_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B) ) ),
file('SET007+212.ax',t61_group_1) ).
fof(t62_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_group_1(A,k7_binop_2(np__1),B) = k3_group_1(A,B) ) ),
file('SET007+212.ax',t62_group_1) ).
fof(t63_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k2_xcmplx_0(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) ) ) ) ),
file('SET007+212.ax',t63_group_1) ).
fof(t64_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k2_xcmplx_0(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) ) ) ) ),
file('SET007+212.ax',t64_group_1) ).
fof(t65_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k2_xcmplx_0(B,A),D) = k1_group_1(C,k6_group_1(C,B,D),k6_group_1(C,A,D)) ) ) ) ),
file('SET007+212.ax',t65_group_1) ).
fof(t66_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C))
& k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C) ) ) ) ),
file('SET007+212.ax',t66_group_1) ).
fof(t67_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)) ) ) ) ),
file('SET007+212.ax',t67_group_1) ).
fof(t68_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)) ) ) ) ),
file('SET007+212.ax',t68_group_1) ).
fof(t69_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> k6_group_1(C,k3_xcmplx_0(B,A),D) = k6_group_1(C,A,k6_group_1(C,B,D)) ) ) ) ),
file('SET007+212.ax',t69_group_1) ).
fof(t70_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k6_group_1(B,k4_xcmplx_0(A),C) = k3_group_1(B,k6_group_1(B,A,C)) ) ) ),
file('SET007+212.ax',t70_group_1) ).
fof(t71_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k6_group_1(B,k7_binop_2(A),C) = k3_group_1(B,k6_group_1(B,A,C)) ) ) ),
file('SET007+212.ax',t71_group_1) ).
fof(t72_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k6_group_1(B,A,k3_group_1(B,C)) = k3_group_1(B,k6_group_1(B,A,C)) ) ) ),
file('SET007+212.ax',t72_group_1) ).
fof(t73_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( k1_group_1(B,C,D) = k1_group_1(B,D,C)
=> k6_group_1(B,A,k1_group_1(B,C,D)) = k1_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) ) ) ) ) ),
file('SET007+212.ax',t73_group_1) ).
fof(t74_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(C))
=> ( k1_group_1(C,D,E) = k1_group_1(C,E,D)
=> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D)) ) ) ) ) ) ),
file('SET007+212.ax',t74_group_1) ).
fof(t75_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( v1_int_1(B)
=> ! [C] :
( ( l1_group_1(C)
& v4_group_1(C)
& v3_group_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(C))
=> ( k1_group_1(C,D,E) = k1_group_1(C,E,D)
=> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D)) ) ) ) ) ) ),
file('SET007+212.ax',t75_group_1) ).
fof(t76_group_1,axiom,
$true,
file('SET007+212.ax',t76_group_1) ).
fof(t77_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( k1_group_1(B,C,D) = k1_group_1(B,D,C)
=> k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C) ) ) ) ) ),
file('SET007+212.ax',t77_group_1) ).
fof(d11_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( v5_group_1(B,A)
<=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( k6_group_1(A,C,B) = k2_group_1(A)
=> C = np__0 ) ) ) ) ),
file('SET007+212.ax',d11_group_1) ).
fof(t78_group_1,axiom,
$true,
file('SET007+212.ax',t78_group_1) ).
fof(t79_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ~ v5_group_1(k2_group_1(A),A) ),
file('SET007+212.ax',t79_group_1) ).
fof(d12_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( ~ v5_group_1(B,A)
=> ( C = k7_group_1(A,B)
<=> ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ( k6_group_1(A,D,B) = k2_group_1(A)
=> ( r1_xreal_0(C,D)
| D = np__0 ) ) )
& C != np__0
& k6_group_1(A,C,B) = k2_group_1(A) ) ) )
& ( v5_group_1(B,A)
=> ( C = k7_group_1(A,B)
<=> C = np__0 ) ) ) ) ) ),
file('SET007+212.ax',d12_group_1) ).
fof(t80_group_1,axiom,
$true,
file('SET007+212.ax',t80_group_1) ).
fof(t81_group_1,axiom,
$true,
file('SET007+212.ax',t81_group_1) ).
fof(t82_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_group_1(A,k7_group_1(A,B),B) = k2_group_1(A) ) ),
file('SET007+212.ax',t82_group_1) ).
fof(t83_group_1,axiom,
$true,
file('SET007+212.ax',t83_group_1) ).
fof(t84_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> k7_group_1(A,k2_group_1(A)) = np__1 ),
file('SET007+212.ax',t84_group_1) ).
fof(t85_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k7_group_1(A,B) = np__1
=> B = k2_group_1(A) ) ) ),
file('SET007+212.ax',t85_group_1) ).
fof(t86_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k6_group_1(B,A,C) = k2_group_1(B)
=> r1_nat_1(k7_group_1(B,C),A) ) ) ) ),
file('SET007+212.ax',t86_group_1) ).
fof(d13_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> k8_group_1(A) = k1_card_1(u1_struct_0(A)) ),
file('SET007+212.ax',d13_group_1) ).
fof(d14_group_1,axiom,
! [A] :
( l1_struct_0(A)
=> ( v6_group_1(A)
<=> v1_finset_1(u1_struct_0(A)) ) ),
file('SET007+212.ax',d14_group_1) ).
fof(d15_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( v6_group_1(A)
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k9_group_1(A)
<=> ? [C] :
( B = k4_card_1(C)
& C = u1_struct_0(A)
& v1_finset_1(C) ) ) ) ) ),
file('SET007+212.ax',d15_group_1) ).
fof(t87_group_1,axiom,
$true,
file('SET007+212.ax',t87_group_1) ).
fof(t88_group_1,axiom,
$true,
file('SET007+212.ax',t88_group_1) ).
fof(t89_group_1,axiom,
$true,
file('SET007+212.ax',t89_group_1) ).
fof(t90_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( v6_group_1(A)
=> r1_xreal_0(np__1,k9_group_1(A)) ) ),
file('SET007+212.ax',t90_group_1) ).
fof(d16_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( v7_group_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,B,C) = k1_group_1(A,C,B) ) ) ) ),
file('SET007+212.ax',d16_group_1) ).
fof(t91_group_1,axiom,
$true,
file('SET007+212.ax',t91_group_1) ).
fof(t92_group_1,axiom,
( l1_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v7_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v4_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v3_group_1(g1_group_1(k1_numbers,k33_binop_2))
& ~ v3_struct_0(g1_group_1(k1_numbers,k33_binop_2)) ),
file('SET007+212.ax',t92_group_1) ).
fof(t93_group_1,axiom,
$true,
file('SET007+212.ax',t93_group_1) ).
fof(t94_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k3_group_1(A,k10_group_1(A,B,C)) = k10_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) ) ) ),
file('SET007+212.ax',t94_group_1) ).
fof(t95_group_1,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l1_group_1(B)
& v7_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) ) ) ) ),
file('SET007+212.ax',t95_group_1) ).
fof(t96_group_1,axiom,
! [A] :
( v1_int_1(A)
=> ! [B] :
( ( l1_group_1(B)
& v7_group_1(B)
& v4_group_1(B)
& v3_group_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) ) ) ) ),
file('SET007+212.ax',t96_group_1) ).
fof(t97_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A)))
& v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A)))
& v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A)))
& v3_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) ) ),
file('SET007+212.ax',t97_group_1) ).
fof(dt_l1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('SET007+212.ax',dt_l1_group_1) ).
fof(existence_l1_group_1,axiom,
? [A] : l1_group_1(A),
file('SET007+212.ax',existence_l1_group_1) ).
fof(abstractness_v1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> ( v1_group_1(A)
=> A = g1_group_1(u1_struct_0(A),u1_group_1(A)) ) ),
file('SET007+212.ax',abstractness_v1_group_1) ).
fof(dt_k1_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ),
file('SET007+212.ax',dt_k1_group_1) ).
fof(dt_k2_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ),
file('SET007+212.ax',dt_k2_group_1) ).
fof(dt_k3_group_1,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ),
file('SET007+212.ax',dt_k3_group_1) ).
fof(dt_k4_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k4_group_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k4_group_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k4_group_1(A)) ) ),
file('SET007+212.ax',dt_k4_group_1) ).
fof(dt_k5_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k5_group_1(A),k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
& v1_funct_2(k5_group_1(A),k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
& v1_funct_1(k5_group_1(A)) ) ),
file('SET007+212.ax',dt_k5_group_1) ).
fof(dt_k6_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& v1_int_1(B)
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k6_group_1(A,B,C),u1_struct_0(A)) ),
file('SET007+212.ax',dt_k6_group_1) ).
fof(dt_k7_group_1,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m2_subset_1(k7_group_1(A,B),k1_numbers,k5_numbers) ),
file('SET007+212.ax',dt_k7_group_1) ).
fof(dt_k8_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> v1_card_1(k8_group_1(A)) ),
file('SET007+212.ax',dt_k8_group_1) ).
fof(dt_k9_group_1,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m2_subset_1(k9_group_1(A),k1_numbers,k5_numbers) ),
file('SET007+212.ax',dt_k9_group_1) ).
fof(dt_k10_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v7_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k10_group_1(A,B,C),u1_struct_0(A)) ),
file('SET007+212.ax',dt_k10_group_1) ).
fof(commutativity_k10_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v7_group_1(A)
& ~ v3_struct_0(A) )
=> k10_group_1(A,B,C) = k10_group_1(A,C,B) ),
file('SET007+212.ax',commutativity_k10_group_1) ).
fof(redefinition_k10_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v7_group_1(A)
& ~ v3_struct_0(A) )
=> k10_group_1(A,B,C) = k1_group_1(A,B,C) ),
file('SET007+212.ax',redefinition_k10_group_1) ).
fof(dt_u1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> ( m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_group_1(A)) ) ),
file('SET007+212.ax',dt_u1_group_1) ).
fof(dt_g1_group_1,axiom,
! [A,B] :
( ( m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l1_group_1(g1_group_1(A,B))
& v1_group_1(g1_group_1(A,B)) ) ),
file('SET007+212.ax',dt_g1_group_1) ).
fof(free_g1_group_1,axiom,
! [A,B] :
( ( m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [C,D] :
( g1_group_1(A,B) = g1_group_1(C,D)
=> ( B = D
& A = C ) ) ),
file('SET007+212.ax',free_g1_group_1) ).
fof(fc1_vectsp_1,axiom,
( v1_rlvect_1(k1_vectsp_1)
& ~ v3_struct_0(k1_vectsp_1) ),
file('SET007+213.ax',fc1_vectsp_1) ).
fof(fc2_vectsp_1,axiom,
( v6_rlvect_1(k1_vectsp_1)
& v5_rlvect_1(k1_vectsp_1)
& v4_rlvect_1(k1_vectsp_1)
& v3_rlvect_1(k1_vectsp_1)
& v1_rlvect_1(k1_vectsp_1)
& ~ v3_struct_0(k1_vectsp_1) ),
file('SET007+213.ax',fc2_vectsp_1) ).
fof(rc1_vectsp_1,axiom,
? [A] :
( v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v1_rlvect_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
file('SET007+213.ax',rc1_vectsp_1) ).
fof(rc2_vectsp_1,axiom,
? [A] :
( v1_vectsp_1(A)
& l1_vectsp_1(A) ),
file('SET007+213.ax',rc2_vectsp_1) ).
fof(rc3_vectsp_1,axiom,
? [A] :
( v1_vectsp_1(A)
& ~ v3_struct_0(A)
& l1_vectsp_1(A) ),
file('SET007+213.ax',rc3_vectsp_1) ).
fof(rc4_vectsp_1,axiom,
? [A] :
( v2_vectsp_1(A)
& l2_vectsp_1(A) ),
file('SET007+213.ax',rc4_vectsp_1) ).
fof(rc5_vectsp_1,axiom,
? [A] :
( v2_vectsp_1(A)
& ~ v3_struct_0(A)
& l2_vectsp_1(A) ),
file('SET007+213.ax',rc5_vectsp_1) ).
fof(rc6_vectsp_1,axiom,
? [A] :
( v3_vectsp_1(A)
& l3_vectsp_1(A) ),
file('SET007+213.ax',rc6_vectsp_1) ).
fof(rc7_vectsp_1,axiom,
? [A] :
( v3_vectsp_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+213.ax',rc7_vectsp_1) ).
fof(fc3_vectsp_1,axiom,
( v3_vectsp_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
file('SET007+213.ax',fc3_vectsp_1) ).
fof(fc4_vectsp_1,axiom,
( v3_vectsp_1(k3_vectsp_1)
& v2_group_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
file('SET007+213.ax',fc4_vectsp_1) ).
fof(fc5_vectsp_1,axiom,
( ~ v10_vectsp_1(k3_vectsp_1)
& v9_vectsp_1(k3_vectsp_1)
& v8_vectsp_1(k3_vectsp_1)
& v7_vectsp_1(k3_vectsp_1)
& v6_vectsp_1(k3_vectsp_1)
& v3_vectsp_1(k3_vectsp_1)
& v7_group_1(k3_vectsp_1)
& v4_group_1(k3_vectsp_1)
& v2_group_1(k3_vectsp_1)
& v6_rlvect_1(k3_vectsp_1)
& v5_rlvect_1(k3_vectsp_1)
& v4_rlvect_1(k3_vectsp_1)
& v3_rlvect_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
file('SET007+213.ax',fc5_vectsp_1) ).
fof(cc1_vectsp_1,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( ( v7_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v5_vectsp_1(A)
& v4_vectsp_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',cc1_vectsp_1) ).
fof(cc2_vectsp_1,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( ( v5_vectsp_1(A)
& v4_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v7_vectsp_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',cc2_vectsp_1) ).
fof(cc3_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( ( v2_group_1(A)
& ~ v3_struct_0(A) )
=> ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',cc3_vectsp_1) ).
fof(cc4_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v2_group_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',cc4_vectsp_1) ).
fof(rc8_vectsp_1,axiom,
? [A] :
( v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
file('SET007+213.ax',rc8_vectsp_1) ).
fof(rc9_vectsp_1,axiom,
? [A] :
( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A)
& l1_vectsp_1(A) ),
file('SET007+213.ax',rc9_vectsp_1) ).
fof(rc10_vectsp_1,axiom,
? [A] :
( ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+213.ax',rc10_vectsp_1) ).
fof(rc11_vectsp_1,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] :
( v11_vectsp_1(B,A)
& l4_vectsp_1(B,A) ) ),
file('SET007+213.ax',rc11_vectsp_1) ).
fof(rc12_vectsp_1,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] :
( v11_vectsp_1(B,A)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) ) ),
file('SET007+213.ax',rc12_vectsp_1) ).
fof(fc6_vectsp_1,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B)
& v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B)
& v1_funct_1(E)
& m1_subset_1(D,B)
& m1_relset_1(C,k2_zfmisc_1(B,B),B)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& v1_funct_1(C)
& ~ v1_xboole_0(B)
& l1_struct_0(A) )
=> ( v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A)
& ~ v3_struct_0(g4_vectsp_1(A,B,C,D,E)) ) ),
file('SET007+213.ax',fc6_vectsp_1) ).
fof(rc13_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v12_vectsp_1(B,A)
& v11_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) ) ),
file('SET007+213.ax',rc13_vectsp_1) ).
fof(cc5_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( ( v8_vectsp_1(A)
& v7_group_1(A)
& ~ v3_struct_0(A) )
=> ( v6_vectsp_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',cc5_vectsp_1) ).
fof(rc14_vectsp_1,axiom,
? [A] :
( v13_vectsp_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
file('SET007+213.ax',rc14_vectsp_1) ).
fof(rc15_vectsp_1,axiom,
? [A] :
( v13_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+213.ax',rc15_vectsp_1) ).
fof(d1_vectsp_1,axiom,
$true,
file('SET007+213.ax',d1_vectsp_1) ).
fof(d2_vectsp_1,axiom,
$true,
file('SET007+213.ax',d2_vectsp_1) ).
fof(d3_vectsp_1,axiom,
$true,
file('SET007+213.ax',d3_vectsp_1) ).
fof(d4_vectsp_1,axiom,
$true,
file('SET007+213.ax',d4_vectsp_1) ).
fof(d5_vectsp_1,axiom,
$true,
file('SET007+213.ax',d5_vectsp_1) ).
fof(d6_vectsp_1,axiom,
k1_vectsp_1 = g1_rlvect_1(k1_numbers,k33_binop_2,np__0),
file('SET007+213.ax',d6_vectsp_1) ).
fof(t1_vectsp_1,axiom,
$true,
file('SET007+213.ax',t1_vectsp_1) ).
fof(t2_vectsp_1,axiom,
$true,
file('SET007+213.ax',t2_vectsp_1) ).
fof(t3_vectsp_1,axiom,
$true,
file('SET007+213.ax',t3_vectsp_1) ).
fof(t4_vectsp_1,axiom,
$true,
file('SET007+213.ax',t4_vectsp_1) ).
fof(t5_vectsp_1,axiom,
$true,
file('SET007+213.ax',t5_vectsp_1) ).
fof(t6_vectsp_1,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k1_vectsp_1))
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k1_vectsp_1))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k1_vectsp_1))
=> ( k4_rlvect_1(k1_vectsp_1,A,k5_rlvect_1(k1_vectsp_1,A)) = k1_rlvect_1(k1_vectsp_1)
& k4_rlvect_1(k1_vectsp_1,A,k1_rlvect_1(k1_vectsp_1)) = A
& k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,A,B),C) = k4_rlvect_1(k1_vectsp_1,A,k4_rlvect_1(k1_vectsp_1,B,C))
& k4_rlvect_1(k1_vectsp_1,A,B) = k4_rlvect_1(k1_vectsp_1,B,A) ) ) ) ),
file('SET007+213.ax',t6_vectsp_1) ).
fof(t7_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ? [E] :
( k2_rlvect_1(A,B,E) = k1_rlvect_1(A)
& m1_subset_1(E,u1_struct_0(A)) )
& k2_rlvect_1(A,B,k1_rlvect_1(A)) = B
& k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
& k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) ) ) ) )
<=> ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',t7_vectsp_1) ).
fof(d7_vectsp_1,axiom,
$true,
file('SET007+213.ax',d7_vectsp_1) ).
fof(d8_vectsp_1,axiom,
$true,
file('SET007+213.ax',d8_vectsp_1) ).
fof(d9_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> k2_vectsp_1(A) = u1_vectsp_1(A) ),
file('SET007+213.ax',d9_vectsp_1) ).
fof(d10_vectsp_1,axiom,
$true,
file('SET007+213.ax',d10_vectsp_1) ).
fof(d11_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v4_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) ) ) ) ) ),
file('SET007+213.ax',d11_vectsp_1) ).
fof(d12_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v5_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) ) ) ) ) ),
file('SET007+213.ax',d12_vectsp_1) ).
fof(d13_vectsp_1,axiom,
! [A] :
( ( l1_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v6_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_group_1(A,B,k2_group_1(A)) = B ) ) ),
file('SET007+213.ax',d13_vectsp_1) ).
fof(d14_vectsp_1,axiom,
$true,
file('SET007+213.ax',d14_vectsp_1) ).
fof(d15_vectsp_1,axiom,
k3_vectsp_1 = g3_vectsp_1(k1_numbers,k33_binop_2,k35_binop_2,np__1,np__0),
file('SET007+213.ax',d15_vectsp_1) ).
fof(d16_vectsp_1,axiom,
$true,
file('SET007+213.ax',d16_vectsp_1) ).
fof(d17_vectsp_1,axiom,
$true,
file('SET007+213.ax',d17_vectsp_1) ).
fof(d18_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v7_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) ) ) ) ) ) ),
file('SET007+213.ax',d18_vectsp_1) ).
fof(d19_vectsp_1,axiom,
! [A] :
( ( l1_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v8_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_group_1(A,k2_group_1(A),B) = B ) ) ),
file('SET007+213.ax',d19_vectsp_1) ).
fof(d20_vectsp_1,axiom,
! [A] :
( ( l2_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v9_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ~ ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,B,C) != k2_group_1(A) )
& B != k1_rlvect_1(A) ) ) ) ),
file('SET007+213.ax',d20_vectsp_1) ).
fof(d21_vectsp_1,axiom,
! [A] :
( ( l2_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v10_vectsp_1(A)
<=> k1_rlvect_1(A) = k2_group_1(A) ) ),
file('SET007+213.ax',d21_vectsp_1) ).
fof(t8_vectsp_1,axiom,
$true,
file('SET007+213.ax',t8_vectsp_1) ).
fof(t9_vectsp_1,axiom,
$true,
file('SET007+213.ax',t9_vectsp_1) ).
fof(t10_vectsp_1,axiom,
$true,
file('SET007+213.ax',t10_vectsp_1) ).
fof(t11_vectsp_1,axiom,
$true,
file('SET007+213.ax',t11_vectsp_1) ).
fof(t12_vectsp_1,axiom,
$true,
file('SET007+213.ax',t12_vectsp_1) ).
fof(t13_vectsp_1,axiom,
$true,
file('SET007+213.ax',t13_vectsp_1) ).
fof(t14_vectsp_1,axiom,
$true,
file('SET007+213.ax',t14_vectsp_1) ).
fof(t15_vectsp_1,axiom,
$true,
file('SET007+213.ax',t15_vectsp_1) ).
fof(t16_vectsp_1,axiom,
$true,
file('SET007+213.ax',t16_vectsp_1) ).
fof(t17_vectsp_1,axiom,
$true,
file('SET007+213.ax',t17_vectsp_1) ).
fof(t18_vectsp_1,axiom,
$true,
file('SET007+213.ax',t18_vectsp_1) ).
fof(t19_vectsp_1,axiom,
$true,
file('SET007+213.ax',t19_vectsp_1) ).
fof(t20_vectsp_1,axiom,
k2_group_1(k3_vectsp_1) = np__1,
file('SET007+213.ax',t20_vectsp_1) ).
fof(t21_vectsp_1,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k3_vectsp_1))
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k3_vectsp_1))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k3_vectsp_1))
=> ( k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,B,C),A) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,B,A),k10_group_1(k3_vectsp_1,C,A))
& k10_group_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),k10_group_1(k3_vectsp_1,A,C))
& ~ ( ! [D] :
( m1_subset_1(D,u1_struct_0(k3_vectsp_1))
=> k10_group_1(k3_vectsp_1,A,D) != k2_group_1(k3_vectsp_1) )
& A != k1_rlvect_1(k3_vectsp_1) )
& k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),A) = A
& k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),C) = k10_group_1(k3_vectsp_1,A,k10_group_1(k3_vectsp_1,B,C))
& k10_group_1(k3_vectsp_1,A,B) = k10_group_1(k3_vectsp_1,B,A)
& k4_rlvect_1(k3_vectsp_1,A,k5_rlvect_1(k3_vectsp_1,A)) = k1_rlvect_1(k3_vectsp_1)
& k4_rlvect_1(k3_vectsp_1,A,k1_rlvect_1(k3_vectsp_1)) = A
& k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,A,B),C) = k4_rlvect_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C))
& k4_rlvect_1(k3_vectsp_1,A,B) = k4_rlvect_1(k3_vectsp_1,B,A) ) ) ) ),
file('SET007+213.ax',t21_vectsp_1) ).
fof(t22_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
& ~ ( ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> k1_group_1(A,B,E) != k2_group_1(A) )
& B != k1_rlvect_1(A) ) ) ) ) )
<=> ( l3_vectsp_1(A)
& v9_vectsp_1(A)
& v7_vectsp_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+213.ax',t22_vectsp_1) ).
fof(t23_vectsp_1,axiom,
$true,
file('SET007+213.ax',t23_vectsp_1) ).
fof(t24_vectsp_1,axiom,
$true,
file('SET007+213.ax',t24_vectsp_1) ).
fof(t25_vectsp_1,axiom,
$true,
file('SET007+213.ax',t25_vectsp_1) ).
fof(t26_vectsp_1,axiom,
$true,
file('SET007+213.ax',t26_vectsp_1) ).
fof(t27_vectsp_1,axiom,
$true,
file('SET007+213.ax',t27_vectsp_1) ).
fof(t28_vectsp_1,axiom,
$true,
file('SET007+213.ax',t28_vectsp_1) ).
fof(t29_vectsp_1,axiom,
$true,
file('SET007+213.ax',t29_vectsp_1) ).
fof(t30_vectsp_1,axiom,
$true,
file('SET007+213.ax',t30_vectsp_1) ).
fof(t31_vectsp_1,axiom,
$true,
file('SET007+213.ax',t31_vectsp_1) ).
fof(t32_vectsp_1,axiom,
$true,
file('SET007+213.ax',t32_vectsp_1) ).
fof(t33_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k10_group_1(A,B,C) = k10_group_1(A,B,D)
=> ( C = D
| B = k1_rlvect_1(A) ) ) ) ) ) ),
file('SET007+213.ax',t33_vectsp_1) ).
fof(d22_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k4_vectsp_1(A,B)
<=> k10_group_1(A,B,C) = k2_group_1(A) ) ) ) ) ),
file('SET007+213.ax',d22_vectsp_1) ).
fof(d23_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_vectsp_1(A,B,C) = k10_group_1(A,B,k4_vectsp_1(A,C)) ) ) ),
file('SET007+213.ax',d23_vectsp_1) ).
fof(t34_vectsp_1,axiom,
$true,
file('SET007+213.ax',t34_vectsp_1) ).
fof(t35_vectsp_1,axiom,
$true,
file('SET007+213.ax',t35_vectsp_1) ).
fof(t36_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v4_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_group_1(A,B,k1_rlvect_1(A)) = k1_rlvect_1(A) ) ),
file('SET007+213.ax',t36_vectsp_1) ).
fof(t37_vectsp_1,axiom,
$true,
file('SET007+213.ax',t37_vectsp_1) ).
fof(t38_vectsp_1,axiom,
$true,
file('SET007+213.ax',t38_vectsp_1) ).
fof(t39_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v5_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_group_1(A,k1_rlvect_1(A),B) = k1_rlvect_1(A) ) ),
file('SET007+213.ax',t39_vectsp_1) ).
fof(t40_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v4_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,B,k5_rlvect_1(A,C)) = k5_rlvect_1(A,k1_group_1(A,B,C)) ) ) ),
file('SET007+213.ax',t40_vectsp_1) ).
fof(t41_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v5_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,k5_rlvect_1(A,B),C) = k5_rlvect_1(A,k1_group_1(A,B,C)) ) ) ),
file('SET007+213.ax',t41_vectsp_1) ).
fof(t42_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v7_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C)) = k1_group_1(A,B,C) ) ) ),
file('SET007+213.ax',t42_vectsp_1) ).
fof(t43_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v4_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,B,k6_rlvect_1(A,C,D)) = k6_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) ) ) ) ),
file('SET007+213.ax',t43_vectsp_1) ).
fof(t44_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k10_group_1(A,B,C) = k1_rlvect_1(A)
<=> ( C = k1_rlvect_1(A)
| B = k1_rlvect_1(A) ) ) ) ) ),
file('SET007+213.ax',t44_vectsp_1) ).
fof(t45_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v5_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k1_group_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,k1_group_1(A,B,D),k1_group_1(A,C,D)) ) ) ) ),
file('SET007+213.ax',t45_vectsp_1) ).
fof(d24_vectsp_1,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l4_vectsp_1(B,A)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k6_vectsp_1(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u2_vectsp_1(A,B),C,D) ) ) ) ),
file('SET007+213.ax',d24_vectsp_1) ).
fof(d25_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( B = k7_vectsp_1(A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k5_rlvect_1(A,C) ) ) ) ),
file('SET007+213.ax',d25_vectsp_1) ).
fof(d26_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l4_vectsp_1(B,A)
& ~ v3_struct_0(B) )
=> ( v12_vectsp_1(B,A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( k6_vectsp_1(A,B,k2_group_1(A),E) = E
& k6_vectsp_1(A,B,k1_group_1(A,C,D),E) = k6_vectsp_1(A,B,C,k6_vectsp_1(A,B,D,E))
& k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E) = k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E))
& k6_vectsp_1(A,B,C,k2_rlvect_1(B,E,F)) = k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,C,F)) ) ) ) ) ) ) ) ),
file('SET007+213.ax',d26_vectsp_1) ).
fof(t46_vectsp_1,axiom,
$true,
file('SET007+213.ax',t46_vectsp_1) ).
fof(t47_vectsp_1,axiom,
$true,
file('SET007+213.ax',t47_vectsp_1) ).
fof(t48_vectsp_1,axiom,
$true,
file('SET007+213.ax',t48_vectsp_1) ).
fof(t49_vectsp_1,axiom,
$true,
file('SET007+213.ax',t49_vectsp_1) ).
fof(t50_vectsp_1,axiom,
$true,
file('SET007+213.ax',t50_vectsp_1) ).
fof(t51_vectsp_1,axiom,
$true,
file('SET007+213.ax',t51_vectsp_1) ).
fof(t52_vectsp_1,axiom,
$true,
file('SET007+213.ax',t52_vectsp_1) ).
fof(t53_vectsp_1,axiom,
$true,
file('SET007+213.ax',t53_vectsp_1) ).
fof(t54_vectsp_1,axiom,
$true,
file('SET007+213.ax',t54_vectsp_1) ).
fof(t55_vectsp_1,axiom,
$true,
file('SET007+213.ax',t55_vectsp_1) ).
fof(t56_vectsp_1,axiom,
$true,
file('SET007+213.ax',t56_vectsp_1) ).
fof(t57_vectsp_1,axiom,
$true,
file('SET007+213.ax',t57_vectsp_1) ).
fof(t58_vectsp_1,axiom,
$true,
file('SET007+213.ax',t58_vectsp_1) ).
fof(t59_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l4_vectsp_1(C,A)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( k6_vectsp_1(A,C,B,k1_rlvect_1(C)) = k1_rlvect_1(C)
& k6_vectsp_1(A,C,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(C,D)
& k6_vectsp_1(A,C,k1_rlvect_1(A),D) = k1_rlvect_1(C) ) ) ) ) ),
file('SET007+213.ax',t59_vectsp_1) ).
fof(t60_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l4_vectsp_1(C,A)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C)
<=> ( D = k1_rlvect_1(C)
| B = k1_rlvect_1(A) ) ) ) ) ) ),
file('SET007+213.ax',t60_vectsp_1) ).
fof(t61_vectsp_1,axiom,
$true,
file('SET007+213.ax',t61_vectsp_1) ).
fof(t62_vectsp_1,axiom,
$true,
file('SET007+213.ax',t62_vectsp_1) ).
fof(t63_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
<=> k5_rlvect_1(A,B) = C ) ) ) ),
file('SET007+213.ax',t63_vectsp_1) ).
fof(t64_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k6_rlvect_1(A,B,k2_rlvect_1(A,D,C)) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D)
& k5_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,C),D)) = k2_rlvect_1(A,D,C)
& k5_rlvect_1(A,k6_rlvect_1(A,C,D)) = k2_rlvect_1(A,D,k5_rlvect_1(A,C))
& k5_rlvect_1(A,k2_rlvect_1(A,D,k5_rlvect_1(A,C))) = k6_rlvect_1(A,C,D)
& k5_rlvect_1(A,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k5_rlvect_1(A,D),C) ) ) ) ) ),
file('SET007+213.ax',t64_vectsp_1) ).
fof(t65_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k6_rlvect_1(A,B,k1_rlvect_1(A)) = B
& k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B) ) ) ),
file('SET007+213.ax',t65_vectsp_1) ).
fof(t66_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( B = C
=> k6_rlvect_1(A,B,C) = k1_rlvect_1(A) )
& ( k6_rlvect_1(A,B,C) = k1_rlvect_1(A)
=> B = C )
& ( B = C
=> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A) )
& ( k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A)
=> B = C ) ) ) ) ),
file('SET007+213.ax',t66_vectsp_1) ).
fof(t67_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l4_vectsp_1(C,A)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( B != k1_rlvect_1(A)
=> k6_vectsp_1(A,C,k4_vectsp_1(A,B),k6_vectsp_1(A,C,B,D)) = D ) ) ) ) ),
file('SET007+213.ax',t67_vectsp_1) ).
fof(t68_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l4_vectsp_1(B,A)
& v12_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( k6_rlvect_1(B,E,k6_vectsp_1(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_1(A,B,k5_rlvect_1(A,C),D))
& k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)) = k6_vectsp_1(A,B,k5_rlvect_1(A,C),D) ) ) ) ) ) ),
file('SET007+213.ax',t68_vectsp_1) ).
fof(t69_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l4_vectsp_1(B,A)
& v12_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k6_vectsp_1(A,B,C,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)) ) ) ) ),
file('SET007+213.ax',t69_vectsp_1) ).
fof(t70_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l4_vectsp_1(B,A)
& v12_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> k6_vectsp_1(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_1(A,B,C,D),k6_vectsp_1(A,B,C,E)) ) ) ) ) ),
file('SET007+213.ax',t70_vectsp_1) ).
fof(t71_vectsp_1,axiom,
$true,
file('SET007+213.ax',t71_vectsp_1) ).
fof(t72_vectsp_1,axiom,
$true,
file('SET007+213.ax',t72_vectsp_1) ).
fof(t73_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> k4_vectsp_1(A,k4_vectsp_1(A,B)) = B ) ) ),
file('SET007+213.ax',t73_vectsp_1) ).
fof(t74_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ( k5_rlvect_1(A,k4_vectsp_1(A,B)) != k1_rlvect_1(A)
& k4_vectsp_1(A,B) != k1_rlvect_1(A) ) ) ) ),
file('SET007+213.ax',t74_vectsp_1) ).
fof(t75_vectsp_1,axiom,
$true,
file('SET007+213.ax',t75_vectsp_1) ).
fof(t76_vectsp_1,axiom,
$true,
file('SET007+213.ax',t76_vectsp_1) ).
fof(t77_vectsp_1,axiom,
$true,
file('SET007+213.ax',t77_vectsp_1) ).
fof(t78_vectsp_1,axiom,
k4_rlvect_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),k2_group_1(k3_vectsp_1)) != k1_rlvect_1(k3_vectsp_1),
file('SET007+213.ax',t78_vectsp_1) ).
fof(d27_vectsp_1,axiom,
$true,
file('SET007+213.ax',d27_vectsp_1) ).
fof(d28_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v13_vectsp_1(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k2_rlvect_1(A,B,B) = k1_rlvect_1(A)
=> B = k1_rlvect_1(A) ) ) ) ),
file('SET007+213.ax',d28_vectsp_1) ).
fof(d29_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v13_vectsp_1(A)
<=> k2_rlvect_1(A,k2_group_1(A),k2_group_1(A)) != k1_rlvect_1(A) ) ),
file('SET007+213.ax',d29_vectsp_1) ).
fof(t79_vectsp_1,axiom,
$true,
file('SET007+213.ax',t79_vectsp_1) ).
fof(t80_vectsp_1,axiom,
$true,
file('SET007+213.ax',t80_vectsp_1) ).
fof(t81_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_rlvect_1(A,k6_rlvect_1(A,B,C)) = k6_rlvect_1(A,C,B) ) ) ),
file('SET007+213.ax',t81_vectsp_1) ).
fof(t82_vectsp_1,axiom,
$true,
file('SET007+213.ax',t82_vectsp_1) ).
fof(t83_vectsp_1,axiom,
$true,
file('SET007+213.ax',t83_vectsp_1) ).
fof(t84_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k6_rlvect_1(A,B,C) = k1_rlvect_1(A)
=> B = C ) ) ) ),
file('SET007+213.ax',t84_vectsp_1) ).
fof(t85_vectsp_1,axiom,
$true,
file('SET007+213.ax',t85_vectsp_1) ).
fof(t86_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k5_rlvect_1(A,B) = k1_rlvect_1(A)
=> B = k1_rlvect_1(A) ) ) ),
file('SET007+213.ax',t86_vectsp_1) ).
fof(t87_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k6_rlvect_1(A,B,C) = k1_rlvect_1(A)
=> k6_rlvect_1(A,C,B) = k1_rlvect_1(A) ) ) ) ),
file('SET007+213.ax',t87_vectsp_1) ).
fof(t88_vectsp_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( k6_rlvect_1(A,C,k10_group_1(A,D,B)) = k1_rlvect_1(A)
=> ( D = k10_group_1(A,C,k4_vectsp_1(A,B))
| B = k1_rlvect_1(A) ) )
& ( k6_rlvect_1(A,k10_group_1(A,B,D),C) = k1_rlvect_1(A)
=> ( D = k10_group_1(A,C,k4_vectsp_1(A,B))
| B = k1_rlvect_1(A) ) ) ) ) ) ) ),
file('SET007+213.ax',t88_vectsp_1) ).
fof(t89_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k2_rlvect_1(A,B,C) = k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B))) ) ) ),
file('SET007+213.ax',t89_vectsp_1) ).
fof(t90_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k6_rlvect_1(A,k2_rlvect_1(A,C,B),k2_rlvect_1(A,D,B)) = k6_rlvect_1(A,C,D) ) ) ) ),
file('SET007+213.ax',t90_vectsp_1) ).
fof(t91_vectsp_1,axiom,
$true,
file('SET007+213.ax',t91_vectsp_1) ).
fof(t92_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,B),C)) = k2_rlvect_1(A,k5_rlvect_1(A,C),B) ) ) ),
file('SET007+213.ax',t92_vectsp_1) ).
fof(t93_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k6_rlvect_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C) ) ) ) ),
file('SET007+213.ax',t93_vectsp_1) ).
fof(t94_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l1_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& v7_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& v4_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& v3_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& ~ v3_struct_0(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) ) ),
file('SET007+213.ax',t94_vectsp_1) ).
fof(dt_l1_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> l1_group_1(A) ),
file('SET007+213.ax',dt_l1_vectsp_1) ).
fof(existence_l1_vectsp_1,axiom,
? [A] : l1_vectsp_1(A),
file('SET007+213.ax',existence_l1_vectsp_1) ).
fof(dt_l2_vectsp_1,axiom,
! [A] :
( l2_vectsp_1(A)
=> ( l2_struct_0(A)
& l1_vectsp_1(A) ) ),
file('SET007+213.ax',dt_l2_vectsp_1) ).
fof(existence_l2_vectsp_1,axiom,
? [A] : l2_vectsp_1(A),
file('SET007+213.ax',existence_l2_vectsp_1) ).
fof(dt_l3_vectsp_1,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( l2_vectsp_1(A)
& l1_rlvect_1(A) ) ),
file('SET007+213.ax',dt_l3_vectsp_1) ).
fof(existence_l3_vectsp_1,axiom,
? [A] : l3_vectsp_1(A),
file('SET007+213.ax',existence_l3_vectsp_1) ).
fof(dt_l4_vectsp_1,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( l4_vectsp_1(B,A)
=> l1_rlvect_1(B) ) ),
file('SET007+213.ax',dt_l4_vectsp_1) ).
fof(existence_l4_vectsp_1,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] : l4_vectsp_1(B,A) ),
file('SET007+213.ax',existence_l4_vectsp_1) ).
fof(abstractness_v1_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( v1_vectsp_1(A)
=> A = g1_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A)) ) ),
file('SET007+213.ax',abstractness_v1_vectsp_1) ).
fof(abstractness_v2_vectsp_1,axiom,
! [A] :
( l2_vectsp_1(A)
=> ( v2_vectsp_1(A)
=> A = g2_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A)) ) ),
file('SET007+213.ax',abstractness_v2_vectsp_1) ).
fof(abstractness_v3_vectsp_1,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( v3_vectsp_1(A)
=> A = g3_vectsp_1(u1_struct_0(A),u1_rlvect_1(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A)) ) ),
file('SET007+213.ax',abstractness_v3_vectsp_1) ).
fof(abstractness_v11_vectsp_1,axiom,
! [A,B] :
( ( l4_vectsp_1(B,A)
& l1_struct_0(A) )
=> ( v11_vectsp_1(B,A)
=> B = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) ) ),
file('SET007+213.ax',abstractness_v11_vectsp_1) ).
fof(dt_k1_vectsp_1,axiom,
( l1_rlvect_1(k1_vectsp_1)
& v1_rlvect_1(k1_vectsp_1) ),
file('SET007+213.ax',dt_k1_vectsp_1) ).
fof(dt_k2_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> m1_subset_1(k2_vectsp_1(A),u1_struct_0(A)) ),
file('SET007+213.ax',dt_k2_vectsp_1) ).
fof(dt_k3_vectsp_1,axiom,
( l3_vectsp_1(k3_vectsp_1)
& v3_vectsp_1(k3_vectsp_1) ),
file('SET007+213.ax',dt_k3_vectsp_1) ).
fof(dt_k4_vectsp_1,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l3_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k4_vectsp_1(A,B),u1_struct_0(A)) ),
file('SET007+213.ax',dt_k4_vectsp_1) ).
fof(dt_k5_vectsp_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l3_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k5_vectsp_1(A,B,C),u1_struct_0(A)) ),
file('SET007+213.ax',dt_k5_vectsp_1) ).
fof(dt_k6_vectsp_1,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,u1_struct_0(B))
& m1_subset_1(C,u1_struct_0(A))
& l4_vectsp_1(B,A)
& ~ v3_struct_0(B)
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k6_vectsp_1(A,B,C,D),u1_struct_0(B)) ),
file('SET007+213.ax',dt_k6_vectsp_1) ).
fof(dt_k7_vectsp_1,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_vectsp_1(A)) ) ),
file('SET007+213.ax',dt_k7_vectsp_1) ).
fof(dt_u1_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> m1_subset_1(u1_vectsp_1(A),u1_struct_0(A)) ),
file('SET007+213.ax',dt_u1_vectsp_1) ).
fof(dt_u2_vectsp_1,axiom,
! [A,B] :
( ( l4_vectsp_1(B,A)
& l1_struct_0(A) )
=> ( m2_relset_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B))
& v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B))
& v1_funct_1(u2_vectsp_1(A,B)) ) ),
file('SET007+213.ax',dt_u2_vectsp_1) ).
fof(dt_g1_vectsp_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l1_vectsp_1(g1_vectsp_1(A,B,C))
& v1_vectsp_1(g1_vectsp_1(A,B,C)) ) ),
file('SET007+213.ax',dt_g1_vectsp_1) ).
fof(free_g1_vectsp_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [D,E,F] :
( g1_vectsp_1(A,B,C) = g1_vectsp_1(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('SET007+213.ax',free_g1_vectsp_1) ).
fof(dt_g2_vectsp_1,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,A)
& m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l2_vectsp_1(g2_vectsp_1(A,B,C,D))
& v2_vectsp_1(g2_vectsp_1(A,B,C,D)) ) ),
file('SET007+213.ax',dt_g2_vectsp_1) ).
fof(free_g2_vectsp_1,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,A)
& m1_subset_1(C,A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [E,F,G,H] :
( g2_vectsp_1(A,B,C,D) = g2_vectsp_1(E,F,G,H)
=> ( D = H
& C = G
& B = F
& A = E ) ) ),
file('SET007+213.ax',free_g2_vectsp_1) ).
fof(dt_g3_vectsp_1,axiom,
! [A,B,C,D,E] :
( ( m1_subset_1(E,A)
& m1_subset_1(D,A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l3_vectsp_1(g3_vectsp_1(A,B,C,D,E))
& v3_vectsp_1(g3_vectsp_1(A,B,C,D,E)) ) ),
file('SET007+213.ax',dt_g3_vectsp_1) ).
fof(free_g3_vectsp_1,axiom,
! [A,B,C,D,E] :
( ( m1_subset_1(E,A)
& m1_subset_1(D,A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [F,G,H,I,J] :
( g3_vectsp_1(A,B,C,D,E) = g3_vectsp_1(F,G,H,I,J)
=> ( E = J
& D = I
& C = H
& B = G
& A = F ) ) ),
file('SET007+213.ax',free_g3_vectsp_1) ).
fof(dt_g4_vectsp_1,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B)
& v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B)
& v1_funct_1(E)
& m1_subset_1(D,B)
& m1_relset_1(C,k2_zfmisc_1(B,B),B)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& v1_funct_1(C)
& l1_struct_0(A) )
=> ( l4_vectsp_1(g4_vectsp_1(A,B,C,D,E),A)
& v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) ) ),
file('SET007+213.ax',dt_g4_vectsp_1) ).
fof(free_g4_vectsp_1,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B)
& v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B)
& v1_funct_1(E)
& m1_subset_1(D,B)
& m1_relset_1(C,k2_zfmisc_1(B,B),B)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& v1_funct_1(C)
& l1_struct_0(A) )
=> ! [F,G,H,I,J] :
( g4_vectsp_1(A,B,C,D,E) = g4_vectsp_1(F,G,H,I,J)
=> ( E = J
& D = I
& C = H
& B = G
& A = F ) ) ),
file('SET007+213.ax',free_g4_vectsp_1) ).
fof(rc1_rlvect_2,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] :
( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v1_finset_1(B)
& v1_funct_1(B)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('SET007+224.ax',rc1_rlvect_2) ).
fof(rc2_rlvect_2,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('SET007+224.ax',rc2_rlvect_2) ).
fof(fc1_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(k18_rlvect_2(A)) ),
file('SET007+224.ax',fc1_rlvect_2) ).
fof(fc2_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v7_rlvect_1(k23_rlvect_2(A))
& v6_rlvect_1(k23_rlvect_2(A))
& v5_rlvect_1(k23_rlvect_2(A))
& v4_rlvect_1(k23_rlvect_2(A))
& v3_rlvect_1(k23_rlvect_2(A))
& v2_rlvect_1(k23_rlvect_2(A))
& ~ v3_struct_0(k23_rlvect_2(A)) ) ),
file('SET007+224.ax',fc2_rlvect_2) ).
fof(d1_rlvect_2,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( r1_rlvect_1(A,B)
=> k1_rlvect_2(A,B) = B ) ),
file('SET007+224.ax',d1_rlvect_2) ).
fof(t1_rlvect_2,axiom,
$true,
file('SET007+224.ax',t1_rlvect_2) ).
fof(t2_rlvect_2,axiom,
$true,
file('SET007+224.ax',t2_rlvect_2) ).
fof(t3_rlvect_2,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_rlvect_2(A,B) = B ) ),
file('SET007+224.ax',t3_rlvect_2) ).
fof(t4_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(A))
=> ( ( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ( r2_hidden(E,k1_relat_1(B))
=> k1_funct_1(D,E) = k4_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) ) )
& k3_finseq_1(B) = k3_finseq_1(D)
& k3_finseq_1(B) = k3_finseq_1(C) )
=> k9_rlvect_1(A,D) = k4_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C)) ) ) ) ) ),
file('SET007+224.ax',t4_rlvect_2) ).
fof(t5_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(A))
=> ( ( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ( r2_hidden(E,k1_relat_1(C))
=> k1_funct_1(D,E) = k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),B) ) )
& k3_finseq_1(C) = k3_finseq_1(D) )
=> k9_rlvect_1(A,D) = k3_rlvect_1(A,k9_rlvect_1(A,C),B) ) ) ) ) ),
file('SET007+224.ax',t5_rlvect_2) ).
fof(t6_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ( ( ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ( r2_hidden(D,k1_relat_1(B))
=> k1_funct_1(C,D) = k5_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D)) ) )
& k3_finseq_1(B) = k3_finseq_1(C) )
=> k9_rlvect_1(A,C) = k5_rlvect_1(A,k9_rlvect_1(A,B)) ) ) ) ),
file('SET007+224.ax',t6_rlvect_2) ).
fof(t7_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(A))
=> ( ( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ( r2_hidden(E,k1_relat_1(B))
=> k1_funct_1(D,E) = k6_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) ) )
& k3_finseq_1(B) = k3_finseq_1(D)
& k3_finseq_1(B) = k3_finseq_1(C) )
=> k9_rlvect_1(A,D) = k6_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C)) ) ) ) ) ),
file('SET007+224.ax',t7_rlvect_2) ).
fof(t8_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ! [D] :
( ( m2_relset_1(D,k1_relat_1(B),k1_relat_1(B))
& v3_funct_2(D,k1_relat_1(B),k1_relat_1(B))
& v1_funct_2(D,k1_relat_1(B),k1_relat_1(B))
& v1_funct_1(D) )
=> ( ( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ( r2_hidden(E,k1_relat_1(C))
=> k1_funct_1(C,E) = k1_funct_1(B,k1_funct_1(D,E)) ) )
& k3_finseq_1(B) = k3_finseq_1(C) )
=> k9_rlvect_1(A,B) = k9_rlvect_1(A,C) ) ) ) ) ),
file('SET007+224.ax',t8_rlvect_2) ).
fof(t9_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(A))
=> ! [D] :
( ( m2_relset_1(D,k1_relat_1(B),k1_relat_1(B))
& v3_funct_2(D,k1_relat_1(B),k1_relat_1(B))
& v1_funct_2(D,k1_relat_1(B),k1_relat_1(B))
& v1_funct_1(D) )
=> ( C = k5_relat_1(D,B)
=> k9_rlvect_1(A,B) = k9_rlvect_1(A,C) ) ) ) ) ),
file('SET007+224.ax',t9_rlvect_2) ).
fof(d2_rlvect_2,axiom,
$true,
file('SET007+224.ax',d2_rlvect_2) ).
fof(d3_rlvect_2,axiom,
$true,
file('SET007+224.ax',d3_rlvect_2) ).
fof(d4_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ( ( v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k6_rlvect_2(A,B)
<=> ? [D] :
( C = k9_rlvect_1(A,D)
& v2_funct_1(D)
& k2_relat_1(D) = B
& m2_finseq_1(D,u1_struct_0(A)) ) ) ) ) ) ),
file('SET007+224.ax',d4_rlvect_2) ).
fof(t10_rlvect_2,axiom,
$true,
file('SET007+224.ax',t10_rlvect_2) ).
fof(t11_rlvect_2,axiom,
$true,
file('SET007+224.ax',t11_rlvect_2) ).
fof(t12_rlvect_2,axiom,
$true,
file('SET007+224.ax',t12_rlvect_2) ).
fof(t13_rlvect_2,axiom,
$true,
file('SET007+224.ax',t13_rlvect_2) ).
fof(t14_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k6_rlvect_2(A,k1_pre_topc(A)) = k1_rlvect_1(A) ),
file('SET007+224.ax',t14_rlvect_2) ).
fof(t15_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k6_rlvect_2(A,k7_rlvect_2(A,B)) = B ) ),
file('SET007+224.ax',t15_rlvect_2) ).
fof(t16_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( B != C
=> k6_rlvect_2(A,k8_rlvect_2(A,B,C)) = k4_rlvect_1(A,B,C) ) ) ) ),
file('SET007+224.ax',t16_rlvect_2) ).
fof(t17_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ ( k6_rlvect_2(A,k9_rlvect_2(A,B,C,D)) != k4_rlvect_1(A,k4_rlvect_1(A,B,C),D)
& B != D
& C != D
& B != C ) ) ) ) ),
file('SET007+224.ax',t17_rlvect_2) ).
fof(t18_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> ( r1_xboole_0(C,B)
=> k6_rlvect_2(A,k2_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)) ) ) ) ),
file('SET007+224.ax',t18_rlvect_2) ).
fof(t19_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> k6_rlvect_2(A,k2_rlvect_2(A,C,B)) = k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))) ) ) ),
file('SET007+224.ax',t19_rlvect_2) ).
fof(t20_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> k6_rlvect_2(A,k3_rlvect_2(A,C,B)) = k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k2_rlvect_2(A,C,B))) ) ) ),
file('SET007+224.ax',t20_rlvect_2) ).
fof(t21_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,B)) ) ) ),
file('SET007+224.ax',t21_rlvect_2) ).
fof(t22_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,k3_rlvect_2(A,C,B))) ) ) ),
file('SET007+224.ax',t22_rlvect_2) ).
fof(t23_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))) ) ) ),
file('SET007+224.ax',t23_rlvect_2) ).
fof(t24_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
=> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,k4_rlvect_2(A,C,B)),k6_rlvect_2(A,k4_rlvect_2(A,B,C))) ) ) ),
file('SET007+224.ax',t24_rlvect_2) ).
fof(d5_rlvect_2,axiom,
! [A] :
( ( l2_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers))
=> ( m1_rlvect_2(B,A)
<=> ? [C] :
( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ~ r2_hidden(D,C)
=> k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = np__0 ) )
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) ) ) ) ),
file('SET007+224.ax',d5_rlvect_2) ).
fof(t25_rlvect_2,axiom,
$true,
file('SET007+224.ax',t25_rlvect_2) ).
fof(t26_rlvect_2,axiom,
$true,
file('SET007+224.ax',t26_rlvect_2) ).
fof(t27_rlvect_2,axiom,
$true,
file('SET007+224.ax',t27_rlvect_2) ).
fof(t28_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k8_funct_2(u1_struct_0(A),k1_numbers,B,C) = np__0
<=> ~ r2_hidden(C,k10_rlvect_2(A,B)) ) ) ) ),
file('SET007+224.ax',t28_rlvect_2) ).
fof(d7_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ( B = k11_rlvect_2(A)
<=> k10_rlvect_2(A,B) = k1_xboole_0 ) ) ),
file('SET007+224.ax',d7_rlvect_2) ).
fof(t29_rlvect_2,axiom,
$true,
file('SET007+224.ax',t29_rlvect_2) ).
fof(t30_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k8_funct_2(u1_struct_0(A),k1_numbers,k11_rlvect_2(A),B) = np__0 ) ),
file('SET007+224.ax',t30_rlvect_2) ).
fof(d8_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_rlvect_2(C,A)
=> ( m2_rlvect_2(C,A,B)
<=> r1_tarski(k10_rlvect_2(A,C),B) ) ) ) ),
file('SET007+224.ax',d8_rlvect_2) ).
fof(t31_rlvect_2,axiom,
$true,
file('SET007+224.ax',t31_rlvect_2) ).
fof(t32_rlvect_2,axiom,
$true,
file('SET007+224.ax',t32_rlvect_2) ).
fof(t33_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m2_rlvect_2(D,A,B)
=> ( r1_tarski(B,C)
=> m2_rlvect_2(D,A,C) ) ) ) ) ),
file('SET007+224.ax',t33_rlvect_2) ).
fof(t34_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> m2_rlvect_2(k11_rlvect_2(A),A,B) ) ),
file('SET007+224.ax',t34_rlvect_2) ).
fof(t35_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A)))
=> B = k11_rlvect_2(A) ) ),
file('SET007+224.ax',t35_rlvect_2) ).
fof(d9_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(A))
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),k1_numbers)
& v1_funct_2(C,u1_struct_0(A),k1_numbers)
& v1_funct_1(C) )
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(A))
=> ( D = k12_rlvect_2(A,B,C)
<=> ( ! [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
=> ( r2_hidden(E,k1_relat_1(D))
=> k1_funct_1(D,E) = k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E))) ) )
& k3_finseq_1(D) = k3_finseq_1(B) ) ) ) ) ) ),
file('SET007+224.ax',d9_rlvect_2) ).
fof(t36_rlvect_2,axiom,
$true,
file('SET007+224.ax',t36_rlvect_2) ).
fof(t37_rlvect_2,axiom,
$true,
file('SET007+224.ax',t37_rlvect_2) ).
fof(t38_rlvect_2,axiom,
$true,
file('SET007+224.ax',t38_rlvect_2) ).
fof(t39_rlvect_2,axiom,
$true,
file('SET007+224.ax',t39_rlvect_2) ).
fof(t40_rlvect_2,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(B))
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(B),k1_numbers)
& v1_funct_2(E,u1_struct_0(B),k1_numbers)
& v1_funct_1(E) )
=> ( ( C = k1_funct_1(D,A)
& r2_hidden(A,k1_relat_1(D)) )
=> k1_funct_1(k12_rlvect_2(B,D,E),A) = k3_rlvect_1(B,C,k8_funct_2(u1_struct_0(B),k1_numbers,E,C)) ) ) ) ) ) ),
file('SET007+224.ax',t40_rlvect_2) ).
fof(t41_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),k1_numbers)
& v1_funct_2(B,u1_struct_0(A),k1_numbers)
& v1_funct_1(B) )
=> k12_rlvect_2(A,k6_finseq_1(u1_struct_0(A)),B) = k6_finseq_1(u1_struct_0(A)) ) ),
file('SET007+224.ax',t41_rlvect_2) ).
fof(t42_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),k1_numbers)
& v1_funct_2(C,u1_struct_0(A),k1_numbers)
& v1_funct_1(C) )
=> k12_rlvect_2(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))) ) ) ),
file('SET007+224.ax',t42_rlvect_2) ).
fof(t43_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(A),k1_numbers)
& v1_funct_2(D,u1_struct_0(A),k1_numbers)
& v1_funct_1(D) )
=> k12_rlvect_2(A,k2_finseq_4(u1_struct_0(A),B,C),D) = k2_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C))) ) ) ) ),
file('SET007+224.ax',t43_rlvect_2) ).
fof(t44_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(A),k1_numbers)
& v1_funct_2(E,u1_struct_0(A),k1_numbers)
& v1_funct_1(E) )
=> k12_rlvect_2(A,k3_finseq_4(u1_struct_0(A),B,C,D),E) = k3_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,E,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,E,C)),k3_rlvect_1(A,D,k8_funct_2(u1_struct_0(A),k1_numbers,E,D))) ) ) ) ) ),
file('SET007+224.ax',t44_rlvect_2) ).
fof(d10_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k13_rlvect_2(A,B)
<=> ? [D] :
( C = k9_rlvect_1(A,k12_rlvect_2(A,D,B))
& k2_relat_1(D) = k10_rlvect_2(A,B)
& v2_funct_1(D)
& m2_finseq_1(D,u1_struct_0(A)) ) ) ) ) ),
file('SET007+224.ax',d10_rlvect_2) ).
fof(t45_rlvect_2,axiom,
$true,
file('SET007+224.ax',t45_rlvect_2) ).
fof(t46_rlvect_2,axiom,
$true,
file('SET007+224.ax',t46_rlvect_2) ).
fof(t47_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( v1_rlsub_1(B,A)
& B != k1_xboole_0 )
<=> ! [C] :
( m2_rlvect_2(C,A,B)
=> r2_hidden(k13_rlvect_2(A,C),B) ) ) ) ),
file('SET007+224.ax',t47_rlvect_2) ).
fof(t48_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k13_rlvect_2(A,k11_rlvect_2(A)) = k1_rlvect_1(A) ),
file('SET007+224.ax',t48_rlvect_2) ).
fof(t49_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A)))
=> k13_rlvect_2(A,B) = k1_rlvect_1(A) ) ),
file('SET007+224.ax',t49_rlvect_2) ).
fof(t50_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m2_rlvect_2(C,A,k7_rlvect_2(A,B))
=> k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) ) ) ),
file('SET007+224.ax',t50_rlvect_2) ).
fof(t51_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( B != C
=> ! [D] :
( m2_rlvect_2(D,A,k8_rlvect_2(A,B,C))
=> k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C))) ) ) ) ) ),
file('SET007+224.ax',t51_rlvect_2) ).
fof(t52_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ( k10_rlvect_2(A,B) = k1_xboole_0
=> k13_rlvect_2(A,B) = k1_rlvect_1(A) ) ) ),
file('SET007+224.ax',t52_rlvect_2) ).
fof(t53_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlvect_2(C,A)
=> ( k10_rlvect_2(A,C) = k7_rlvect_2(A,B)
=> k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) ) ) ) ),
file('SET007+224.ax',t53_rlvect_2) ).
fof(t54_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rlvect_2(D,A)
=> ( k10_rlvect_2(A,D) = k8_rlvect_2(A,B,C)
=> ( k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))
| B = C ) ) ) ) ) ),
file('SET007+224.ax',t54_rlvect_2) ).
fof(d11_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ( r1_rlvect_2(A,B,C)
<=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = k8_funct_2(u1_struct_0(A),k1_numbers,C,D) ) ) ) ) ),
file('SET007+224.ax',d11_rlvect_2) ).
fof(d12_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> ( D = k14_rlvect_2(A,B,C)
<=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> k8_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,E)) ) ) ) ) ) ),
file('SET007+224.ax',d12_rlvect_2) ).
fof(t55_rlvect_2,axiom,
$true,
file('SET007+224.ax',t55_rlvect_2) ).
fof(t56_rlvect_2,axiom,
$true,
file('SET007+224.ax',t56_rlvect_2) ).
fof(t57_rlvect_2,axiom,
$true,
file('SET007+224.ax',t57_rlvect_2) ).
fof(t58_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> r1_tarski(k10_rlvect_2(A,k14_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C))) ) ) ),
file('SET007+224.ax',t58_rlvect_2) ).
fof(t59_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> ( ( m2_rlvect_2(D,A,B)
& m2_rlvect_2(C,A,B) )
=> m2_rlvect_2(k14_rlvect_2(A,C,D),A,B) ) ) ) ) ),
file('SET007+224.ax',t59_rlvect_2) ).
fof(t60_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> r1_rlvect_2(A,k14_rlvect_2(A,B,C),k14_rlvect_2(A,C,B)) ) ) ),
file('SET007+224.ax',t60_rlvect_2) ).
fof(t61_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> r1_rlvect_2(A,k14_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k14_rlvect_2(A,B,C),D)) ) ) ) ),
file('SET007+224.ax',t61_rlvect_2) ).
fof(t62_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ( r1_rlvect_2(A,k14_rlvect_2(A,k11_rlvect_2(A),B),B)
& r1_rlvect_2(A,k14_rlvect_2(A,B,k11_rlvect_2(A)),B) ) ) ),
file('SET007+224.ax',t62_rlvect_2) ).
fof(d13_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> ( D = k15_rlvect_2(A,B,C)
<=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> k8_funct_2(u1_struct_0(A),k1_numbers,D,E) = k4_real_1(B,k8_funct_2(u1_struct_0(A),k1_numbers,C,E)) ) ) ) ) ) ),
file('SET007+224.ax',d13_rlvect_2) ).
fof(t63_rlvect_2,axiom,
$true,
file('SET007+224.ax',t63_rlvect_2) ).
fof(t64_rlvect_2,axiom,
$true,
file('SET007+224.ax',t64_rlvect_2) ).
fof(t65_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ( B != np__0
=> k10_rlvect_2(A,k15_rlvect_2(A,B,C)) = k10_rlvect_2(A,C) ) ) ) ),
file('SET007+224.ax',t65_rlvect_2) ).
fof(t66_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> r1_rlvect_2(A,k15_rlvect_2(A,np__0,B),k11_rlvect_2(A)) ) ),
file('SET007+224.ax',t66_rlvect_2) ).
fof(t67_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ! [D] :
( m1_rlvect_2(D,A)
=> ( m2_rlvect_2(D,A,C)
=> m2_rlvect_2(k15_rlvect_2(A,B,D),A,C) ) ) ) ) ),
file('SET007+224.ax',t67_rlvect_2) ).
fof(t68_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlvect_2(D,A)
=> r1_rlvect_2(A,k15_rlvect_2(A,k3_real_1(B,C),D),k14_rlvect_2(A,k15_rlvect_2(A,B,D),k15_rlvect_2(A,C,D))) ) ) ) ),
file('SET007+224.ax',t68_rlvect_2) ).
fof(t69_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> r1_rlvect_2(A,k15_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k15_rlvect_2(A,B,C),k15_rlvect_2(A,B,D))) ) ) ) ),
file('SET007+224.ax',t69_rlvect_2) ).
fof(t70_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_rlvect_2(D,A)
=> r1_rlvect_2(A,k15_rlvect_2(A,B,k15_rlvect_2(A,C,D)),k15_rlvect_2(A,k4_real_1(B,C),D)) ) ) ) ),
file('SET007+224.ax',t70_rlvect_2) ).
fof(t71_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> r1_rlvect_2(A,k15_rlvect_2(A,np__1,B),B) ) ),
file('SET007+224.ax',t71_rlvect_2) ).
fof(d14_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> k16_rlvect_2(A,B) = k15_rlvect_2(A,k1_real_1(np__1),B) ) ),
file('SET007+224.ax',d14_rlvect_2) ).
fof(t72_rlvect_2,axiom,
$true,
file('SET007+224.ax',t72_rlvect_2) ).
fof(t73_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlvect_2(C,A)
=> k8_funct_2(u1_struct_0(A),k1_numbers,k16_rlvect_2(A,C),B) = k1_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) ) ) ),
file('SET007+224.ax',t73_rlvect_2) ).
fof(t74_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> ( r1_rlvect_2(A,k14_rlvect_2(A,B,C),k11_rlvect_2(A))
=> r1_rlvect_2(A,C,k16_rlvect_2(A,B)) ) ) ) ),
file('SET007+224.ax',t74_rlvect_2) ).
fof(t75_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> k10_rlvect_2(A,k16_rlvect_2(A,B)) = k10_rlvect_2(A,B) ) ),
file('SET007+224.ax',t75_rlvect_2) ).
fof(t76_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_rlvect_2(C,A)
=> ( m2_rlvect_2(C,A,B)
=> m2_rlvect_2(k16_rlvect_2(A,C),A,B) ) ) ) ),
file('SET007+224.ax',t76_rlvect_2) ).
fof(t77_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> r1_rlvect_2(A,k16_rlvect_2(A,k16_rlvect_2(A,B)),B) ) ),
file('SET007+224.ax',t77_rlvect_2) ).
fof(d15_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> k17_rlvect_2(A,B,C) = k14_rlvect_2(A,B,k16_rlvect_2(A,C)) ) ) ),
file('SET007+224.ax',d15_rlvect_2) ).
fof(t78_rlvect_2,axiom,
$true,
file('SET007+224.ax',t78_rlvect_2) ).
fof(t79_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> k8_funct_2(u1_struct_0(A),k1_numbers,k17_rlvect_2(A,C,D),B) = k5_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B),k8_funct_2(u1_struct_0(A),k1_numbers,D,B)) ) ) ) ),
file('SET007+224.ax',t79_rlvect_2) ).
fof(t80_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> r1_tarski(k10_rlvect_2(A,k17_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C))) ) ) ),
file('SET007+224.ax',t80_rlvect_2) ).
fof(t81_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( m1_rlvect_2(C,A)
=> ! [D] :
( m1_rlvect_2(D,A)
=> ( ( m2_rlvect_2(D,A,B)
& m2_rlvect_2(C,A,B) )
=> m2_rlvect_2(k17_rlvect_2(A,C,D),A,B) ) ) ) ) ),
file('SET007+224.ax',t81_rlvect_2) ).
fof(t82_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> r1_rlvect_2(A,k17_rlvect_2(A,B,B),k11_rlvect_2(A)) ) ),
file('SET007+224.ax',t82_rlvect_2) ).
fof(d16_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( B = k18_rlvect_2(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> m1_rlvect_2(C,A) ) ) ),
file('SET007+224.ax',d16_rlvect_2) ).
fof(d17_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k18_rlvect_2(A))
=> k19_rlvect_2(A,B) = B ) ),
file('SET007+224.ax',d17_rlvect_2) ).
fof(d18_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> k20_rlvect_2(A,B) = B ) ),
file('SET007+224.ax',d18_rlvect_2) ).
fof(d19_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_2(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_1(B) )
=> ( B = k21_rlvect_2(A)
<=> ! [C] :
( m1_subset_1(C,k18_rlvect_2(A))
=> ! [D] :
( m1_subset_1(D,k18_rlvect_2(A))
=> k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D) = k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D)) ) ) ) ) ),
file('SET007+224.ax',d19_rlvect_2) ).
fof(d20_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_relset_1(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_2(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_1(B) )
=> ( B = k22_rlvect_2(A)
<=> ! [C] :
( m1_subset_1(C,k1_numbers)
=> ! [D] :
( m1_subset_1(D,k18_rlvect_2(A))
=> k1_funct_1(B,k4_tarski(C,D)) = k15_rlvect_2(A,C,k19_rlvect_2(A,D)) ) ) ) ) ),
file('SET007+224.ax',d20_rlvect_2) ).
fof(d21_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k23_rlvect_2(A) = g2_rlvect_1(k18_rlvect_2(A),k20_rlvect_2(A,k11_rlvect_2(A)),k21_rlvect_2(A),k22_rlvect_2(A)) ),
file('SET007+224.ax',d21_rlvect_2) ).
fof(t83_rlvect_2,axiom,
$true,
file('SET007+224.ax',t83_rlvect_2) ).
fof(t84_rlvect_2,axiom,
$true,
file('SET007+224.ax',t84_rlvect_2) ).
fof(t85_rlvect_2,axiom,
$true,
file('SET007+224.ax',t85_rlvect_2) ).
fof(t86_rlvect_2,axiom,
$true,
file('SET007+224.ax',t86_rlvect_2) ).
fof(t87_rlvect_2,axiom,
$true,
file('SET007+224.ax',t87_rlvect_2) ).
fof(t88_rlvect_2,axiom,
$true,
file('SET007+224.ax',t88_rlvect_2) ).
fof(t89_rlvect_2,axiom,
$true,
file('SET007+224.ax',t89_rlvect_2) ).
fof(t90_rlvect_2,axiom,
$true,
file('SET007+224.ax',t90_rlvect_2) ).
fof(t91_rlvect_2,axiom,
$true,
file('SET007+224.ax',t91_rlvect_2) ).
fof(t92_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> u1_struct_0(k23_rlvect_2(A)) = k18_rlvect_2(A) ),
file('SET007+224.ax',t92_rlvect_2) ).
fof(t93_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> u2_struct_0(k23_rlvect_2(A)) = k11_rlvect_2(A) ),
file('SET007+224.ax',t93_rlvect_2) ).
fof(t94_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> u1_rlvect_1(k23_rlvect_2(A)) = k21_rlvect_2(A) ),
file('SET007+224.ax',t94_rlvect_2) ).
fof(t95_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> u2_rlvect_1(k23_rlvect_2(A)) = k22_rlvect_2(A) ),
file('SET007+224.ax',t95_rlvect_2) ).
fof(t96_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> k4_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)) = k14_rlvect_2(A,B,C) ) ) ),
file('SET007+224.ax',t96_rlvect_2) ).
fof(t97_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_numbers)
=> ! [C] :
( m1_rlvect_2(C,A)
=> k3_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),C),B) = k15_rlvect_2(A,B,C) ) ) ),
file('SET007+224.ax',t97_rlvect_2) ).
fof(t98_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> k5_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B)) = k16_rlvect_2(A,B) ) ),
file('SET007+224.ax',t98_rlvect_2) ).
fof(t99_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> ! [C] :
( m1_rlvect_2(C,A)
=> k6_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)) = k17_rlvect_2(A,B,C) ) ) ),
file('SET007+224.ax',t99_rlvect_2) ).
fof(dt_m1_rlvect_2,axiom,
! [A] :
( ( l2_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers)) ) ),
file('SET007+224.ax',dt_m1_rlvect_2) ).
fof(existence_m1_rlvect_2,axiom,
! [A] :
( ( l2_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] : m1_rlvect_2(B,A) ),
file('SET007+224.ax',existence_m1_rlvect_2) ).
fof(dt_m2_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_rlvect_2(C,A,B)
=> m1_rlvect_2(C,A) ) ),
file('SET007+224.ax',dt_m2_rlvect_2) ).
fof(existence_m2_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] : m2_rlvect_2(C,A,B) ),
file('SET007+224.ax',existence_m2_rlvect_2) ).
fof(symmetry_r1_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,A)
& m1_rlvect_2(B,A)
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( r1_rlvect_2(A,B,C)
=> r1_rlvect_2(A,C,B) ) ),
file('SET007+224.ax',symmetry_r1_rlvect_2) ).
fof(reflexivity_r1_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,A)
& m1_rlvect_2(B,A)
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> r1_rlvect_2(A,B,B) ),
file('SET007+224.ax',reflexivity_r1_rlvect_2) ).
fof(redefinition_r1_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,A)
& m1_rlvect_2(B,A)
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( r1_rlvect_2(A,B,C)
<=> B = C ) ),
file('SET007+224.ax',redefinition_r1_rlvect_2) ).
fof(dt_k1_rlvect_2,axiom,
! [A,B] :
( l1_struct_0(A)
=> m1_subset_1(k1_rlvect_2(A,B),u1_struct_0(A)) ),
file('SET007+224.ax',dt_k1_rlvect_2) ).
fof(dt_k2_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> ( m1_subset_1(k2_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k2_rlvect_2(A,B,C)) ) ),
file('SET007+224.ax',dt_k2_rlvect_2) ).
fof(commutativity_k2_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k2_rlvect_2(A,B,C) = k2_rlvect_2(A,C,B) ),
file('SET007+224.ax',commutativity_k2_rlvect_2) ).
fof(idempotence_k2_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k2_rlvect_2(A,B,B) = B ),
file('SET007+224.ax',idempotence_k2_rlvect_2) ).
fof(redefinition_k2_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k2_rlvect_2(A,B,C) = k2_xboole_0(B,C) ),
file('SET007+224.ax',redefinition_k2_rlvect_2) ).
fof(dt_k3_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> ( m1_subset_1(k3_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k3_rlvect_2(A,B,C)) ) ),
file('SET007+224.ax',dt_k3_rlvect_2) ).
fof(commutativity_k3_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k3_rlvect_2(A,B,C) = k3_rlvect_2(A,C,B) ),
file('SET007+224.ax',commutativity_k3_rlvect_2) ).
fof(idempotence_k3_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k3_rlvect_2(A,B,B) = B ),
file('SET007+224.ax',idempotence_k3_rlvect_2) ).
fof(redefinition_k3_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k3_rlvect_2(A,B,C) = k3_xboole_0(B,C) ),
file('SET007+224.ax',redefinition_k3_rlvect_2) ).
fof(dt_k4_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> ( m1_subset_1(k4_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k4_rlvect_2(A,B,C)) ) ),
file('SET007+224.ax',dt_k4_rlvect_2) ).
fof(redefinition_k4_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k4_rlvect_2(A,B,C) = k4_xboole_0(B,C) ),
file('SET007+224.ax',redefinition_k4_rlvect_2) ).
fof(dt_k5_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> ( m1_subset_1(k5_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k5_rlvect_2(A,B,C)) ) ),
file('SET007+224.ax',dt_k5_rlvect_2) ).
fof(commutativity_k5_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k5_rlvect_2(A,B,C) = k5_rlvect_2(A,C,B) ),
file('SET007+224.ax',commutativity_k5_rlvect_2) ).
fof(redefinition_k5_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_struct_0(A) )
=> k5_rlvect_2(A,B,C) = k5_xboole_0(B,C) ),
file('SET007+224.ax',redefinition_k5_rlvect_2) ).
fof(dt_k6_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(B)
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k6_rlvect_2(A,B),u1_struct_0(A)) ),
file('SET007+224.ax',dt_k6_rlvect_2) ).
fof(dt_k7_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ( m1_subset_1(k7_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k7_rlvect_2(A,B)) ) ),
file('SET007+224.ax',dt_k7_rlvect_2) ).
fof(redefinition_k7_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k7_rlvect_2(A,B) = k1_tarski(B) ),
file('SET007+224.ax',redefinition_k7_rlvect_2) ).
fof(dt_k8_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ( m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k8_rlvect_2(A,B,C)) ) ),
file('SET007+224.ax',dt_k8_rlvect_2) ).
fof(commutativity_k8_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B) ),
file('SET007+224.ax',commutativity_k8_rlvect_2) ).
fof(redefinition_k8_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k8_rlvect_2(A,B,C) = k2_tarski(B,C) ),
file('SET007+224.ax',redefinition_k8_rlvect_2) ).
fof(dt_k9_rlvect_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ( m1_subset_1(k9_rlvect_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k9_rlvect_2(A,B,C,D)) ) ),
file('SET007+224.ax',dt_k9_rlvect_2) ).
fof(redefinition_k9_rlvect_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k9_rlvect_2(A,B,C,D) = k1_enumset1(B,C,D) ),
file('SET007+224.ax',redefinition_k9_rlvect_2) ).
fof(dt_k10_rlvect_2,axiom,
! [A,B] :
( ( m1_rlvect_2(B,A)
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_subset_1(k10_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k10_rlvect_2(A,B)) ) ),
file('SET007+224.ax',dt_k10_rlvect_2) ).
fof(dt_k11_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlvect_2(k11_rlvect_2(A),A) ),
file('SET007+224.ax',dt_k11_rlvect_2) ).
fof(dt_k12_rlvect_2,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),k1_numbers)
& v1_funct_2(C,u1_struct_0(A),k1_numbers)
& v1_funct_1(C)
& m1_finseq_1(B,u1_struct_0(A))
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m2_finseq_1(k12_rlvect_2(A,B,C),u1_struct_0(A)) ),
file('SET007+224.ax',dt_k12_rlvect_2) ).
fof(dt_k13_rlvect_2,axiom,
! [A,B] :
( ( m1_rlvect_2(B,A)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k13_rlvect_2(A,B),u1_struct_0(A)) ),
file('SET007+224.ax',dt_k13_rlvect_2) ).
fof(dt_k14_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,A)
& m1_rlvect_2(B,A)
& l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlvect_2(k14_rlvect_2(A,B,C),A) ),
file('SET007+224.ax',dt_k14_rlvect_2) ).
fof(dt_k15_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,A)
& m1_subset_1(B,k1_numbers)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlvect_2(k15_rlvect_2(A,B,C),A) ),
file('SET007+224.ax',dt_k15_rlvect_2) ).
fof(dt_k16_rlvect_2,axiom,
! [A,B] :
( ( m1_rlvect_2(B,A)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlvect_2(k16_rlvect_2(A,B),A) ),
file('SET007+224.ax',dt_k16_rlvect_2) ).
fof(dt_k17_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,A)
& m1_rlvect_2(B,A)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlvect_2(k17_rlvect_2(A,B,C),A) ),
file('SET007+224.ax',dt_k17_rlvect_2) ).
fof(dt_k18_rlvect_2,axiom,
$true,
file('SET007+224.ax',dt_k18_rlvect_2) ).
fof(dt_k19_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,k18_rlvect_2(A))
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rlvect_2(k19_rlvect_2(A,B),A) ),
file('SET007+224.ax',dt_k19_rlvect_2) ).
fof(dt_k20_rlvect_2,axiom,
! [A,B] :
( ( m1_rlvect_2(B,A)
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k20_rlvect_2(A,B),k18_rlvect_2(A)) ),
file('SET007+224.ax',dt_k20_rlvect_2) ).
fof(dt_k21_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_2(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_1(k21_rlvect_2(A)) ) ),
file('SET007+224.ax',dt_k21_rlvect_2) ).
fof(dt_k22_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_2(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_1(k22_rlvect_2(A)) ) ),
file('SET007+224.ax',dt_k22_rlvect_2) ).
fof(dt_k23_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l2_rlvect_1(k23_rlvect_2(A))
& v7_rlvect_1(k23_rlvect_2(A))
& v6_rlvect_1(k23_rlvect_2(A))
& v5_rlvect_1(k23_rlvect_2(A))
& v4_rlvect_1(k23_rlvect_2(A))
& v3_rlvect_1(k23_rlvect_2(A))
& ~ v3_struct_0(k23_rlvect_2(A)) ) ),
file('SET007+224.ax',dt_k23_rlvect_2) ).
fof(dt_k24_rlvect_2,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rlsub_1(k24_rlvect_2(A,B),k23_rlvect_2(A))
& v2_rlvect_1(k24_rlvect_2(A,B)) ) ),
file('SET007+224.ax',dt_k24_rlvect_2) ).
fof(d6_rlvect_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_rlvect_2(B,A)
=> k10_rlvect_2(A,B) = a_2_0_rlvect_2(A,B) ) ),
file('SET007+224.ax',d6_rlvect_2) ).
fof(d22_rlvect_2,axiom,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ! [C] :
( ( m1_rlsub_1(C,k23_rlvect_2(A))
& v2_rlvect_1(C) )
=> ( C = k24_rlvect_2(A,B)
<=> u1_struct_0(C) = a_2_1_rlvect_2(A,B) ) ) ) ),
file('SET007+224.ax',d22_rlvect_2) ).
fof(fraenkel_a_2_0_rlvect_2,axiom,
! [A,B,C] :
( ( m1_rlvect_2(C,B)
& l1_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_2_0_rlvect_2(B,C))
<=> ? [D] :
( k8_funct_2(u1_struct_0(B),k1_numbers,C,D) != np__0
& A = D
& m1_subset_1(D,u1_struct_0(B)) ) ) ),
file('SET007+224.ax',fraenkel_a_2_0_rlvect_2) ).
fof(fraenkel_a_2_1_rlvect_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_2_1_rlvect_2(B,C))
<=> ? [D] :
( A = D
& m2_rlvect_2(D,B,C) ) ) ),
file('SET007+224.ax',fraenkel_a_2_1_rlvect_2) ).
fof(cc1_vectsp_2,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( ( v1_vectsp_2(A)
& ~ v3_struct_0(A) )
=> ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+241.ax',cc1_vectsp_2) ).
fof(rc1_vectsp_2,axiom,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc1_vectsp_2) ).
fof(rc2_vectsp_2,axiom,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc2_vectsp_2) ).
fof(rc3_vectsp_2,axiom,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc3_vectsp_2) ).
fof(rc4_vectsp_2,axiom,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc4_vectsp_2) ).
fof(rc5_vectsp_2,axiom,
? [A] :
( v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc5_vectsp_2) ).
fof(rc6_vectsp_2,axiom,
? [A] :
( ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc6_vectsp_2) ).
fof(rc7_vectsp_2,axiom,
? [A] :
( ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
file('SET007+241.ax',rc7_vectsp_2) ).
fof(cc2_vectsp_2,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( ( v8_vectsp_1(A)
& v7_group_1(A)
& ~ v3_struct_0(A) )
=> ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+241.ax',cc2_vectsp_2) ).
fof(cc3_vectsp_2,axiom,
! [A] :
( l1_vectsp_1(A)
=> ( ( v6_vectsp_1(A)
& v7_group_1(A)
& ~ v3_struct_0(A) )
=> ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+241.ax',cc3_vectsp_2) ).
fof(rc8_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] :
( v3_vectsp_2(B,A)
& l1_vectsp_2(B,A) ) ),
file('SET007+241.ax',rc8_vectsp_2) ).
fof(rc9_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] :
( ~ v3_struct_0(B)
& l1_vectsp_2(B,A) ) ),
file('SET007+241.ax',rc9_vectsp_2) ).
fof(fc1_vectsp_2,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
& v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
& v1_funct_1(E)
& m1_subset_1(D,B)
& m1_relset_1(C,k2_zfmisc_1(B,B),B)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& v1_funct_1(C)
& ~ v1_xboole_0(B)
& l1_struct_0(A) )
=> ( v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A)
& ~ v3_struct_0(g1_vectsp_2(A,B,C,D,E)) ) ),
file('SET007+241.ax',fc1_vectsp_2) ).
fof(rc10_vectsp_2,axiom,
! [A,B] :
( ( l1_struct_0(B)
& l1_struct_0(A) )
=> ? [C] :
( v4_vectsp_2(C,A,B)
& l2_vectsp_2(C,A,B) ) ),
file('SET007+241.ax',rc10_vectsp_2) ).
fof(rc11_vectsp_2,axiom,
! [A,B] :
( ( l1_struct_0(B)
& l1_struct_0(A) )
=> ? [C] :
( ~ v3_struct_0(C)
& l2_vectsp_2(C,A,B) ) ),
file('SET007+241.ax',rc11_vectsp_2) ).
fof(fc2_vectsp_2,axiom,
! [A,B,C,D,E,F,G] :
( ( m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
& v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
& v1_funct_1(G)
& m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C)
& v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C)
& v1_funct_1(F)
& m1_subset_1(E,C)
& m1_relset_1(D,k2_zfmisc_1(C,C),C)
& v1_funct_2(D,k2_zfmisc_1(C,C),C)
& v1_funct_1(D)
& ~ v1_xboole_0(C)
& l1_struct_0(B)
& l1_struct_0(A) )
=> ( v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B)
& ~ v3_struct_0(g2_vectsp_2(A,B,C,D,E,F,G)) ) ),
file('SET007+241.ax',fc2_vectsp_2) ).
fof(rc12_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v11_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) ) ),
file('SET007+241.ax',rc12_vectsp_2) ).
fof(rc13_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l1_vectsp_2(B,A) ) ),
file('SET007+241.ax',rc13_vectsp_2) ).
fof(rc14_vectsp_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v4_vectsp_2(C,A,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l2_vectsp_2(C,A,B) ) ),
file('SET007+241.ax',rc14_vectsp_2) ).
fof(rc15_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v12_vectsp_1(B,A)
& v11_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) ) ),
file('SET007+241.ax',rc15_vectsp_2) ).
fof(fc3_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v12_vectsp_1(k4_vectsp_2(A),A)
& v11_vectsp_1(k4_vectsp_2(A),A)
& v6_rlvect_1(k4_vectsp_2(A))
& v5_rlvect_1(k4_vectsp_2(A))
& v4_rlvect_1(k4_vectsp_2(A))
& v3_rlvect_1(k4_vectsp_2(A))
& ~ v3_struct_0(k4_vectsp_2(A)) ) ),
file('SET007+241.ax',fc3_vectsp_2) ).
fof(rc16_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l1_vectsp_2(B,A) ) ),
file('SET007+241.ax',rc16_vectsp_2) ).
fof(fc4_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v5_vectsp_2(k5_vectsp_2(A),A)
& v3_vectsp_2(k5_vectsp_2(A),A)
& v6_rlvect_1(k5_vectsp_2(A))
& v5_rlvect_1(k5_vectsp_2(A))
& v4_rlvect_1(k5_vectsp_2(A))
& v3_rlvect_1(k5_vectsp_2(A))
& ~ v3_struct_0(k5_vectsp_2(A)) ) ),
file('SET007+241.ax',fc4_vectsp_2) ).
fof(rc17_vectsp_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v6_vectsp_2(C,A,B)
& v5_vectsp_2(C,B)
& v4_vectsp_2(C,A,B)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l2_vectsp_2(C,A,B) ) ),
file('SET007+241.ax',rc17_vectsp_2) ).
fof(fc5_vectsp_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( v6_vectsp_2(k9_vectsp_2(A,B),A,B)
& v5_vectsp_2(k9_vectsp_2(A,B),B)
& v4_vectsp_2(k9_vectsp_2(A,B),A,B)
& v12_vectsp_1(k9_vectsp_2(A,B),A)
& v6_rlvect_1(k9_vectsp_2(A,B))
& v5_rlvect_1(k9_vectsp_2(A,B))
& v4_rlvect_1(k9_vectsp_2(A,B))
& v3_rlvect_1(k9_vectsp_2(A,B))
& ~ v3_struct_0(k9_vectsp_2(A,B)) ) ),
file('SET007+241.ax',fc5_vectsp_2) ).
fof(d1_vectsp_2,axiom,
$true,
file('SET007+241.ax',d1_vectsp_2) ).
fof(d2_vectsp_2,axiom,
! [A] :
( ( l1_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v1_vectsp_2(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k1_group_1(A,k2_vectsp_1(A),B) = B
& k1_group_1(A,B,k2_vectsp_1(A)) = B ) ) ) ),
file('SET007+241.ax',d2_vectsp_2) ).
fof(t1_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
& k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D))
& k1_group_1(A,k2_group_1(A),B) = B
& k1_group_1(A,B,k2_group_1(A)) = B
& k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A)
& k2_rlvect_1(A,B,k1_rlvect_1(A)) = B
& k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
& k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) ) ) ) )
<=> ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+241.ax',t1_vectsp_2) ).
fof(d3_vectsp_2,axiom,
$true,
file('SET007+241.ax',d3_vectsp_2) ).
fof(d4_vectsp_2,axiom,
$true,
file('SET007+241.ax',d4_vectsp_2) ).
fof(d5_vectsp_2,axiom,
! [A] :
( ( l2_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v2_vectsp_2(A)
<=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ~ ( C != k1_rlvect_1(A)
& B != k1_rlvect_1(A)
& k1_group_1(A,B,C) = k1_rlvect_1(A) ) ) ) ) ),
file('SET007+241.ax',d5_vectsp_2) ).
fof(t2_vectsp_2,axiom,
$true,
file('SET007+241.ax',t2_vectsp_2) ).
fof(t3_vectsp_2,axiom,
$true,
file('SET007+241.ax',t3_vectsp_2) ).
fof(t4_vectsp_2,axiom,
$true,
file('SET007+241.ax',t4_vectsp_2) ).
fof(t5_vectsp_2,axiom,
$true,
file('SET007+241.ax',t5_vectsp_2) ).
fof(t6_vectsp_2,axiom,
$true,
file('SET007+241.ax',t6_vectsp_2) ).
fof(t7_vectsp_2,axiom,
$true,
file('SET007+241.ax',t7_vectsp_2) ).
fof(t8_vectsp_2,axiom,
$true,
file('SET007+241.ax',t8_vectsp_2) ).
fof(t9_vectsp_2,axiom,
$true,
file('SET007+241.ax',t9_vectsp_2) ).
fof(t10_vectsp_2,axiom,
$true,
file('SET007+241.ax',t10_vectsp_2) ).
fof(t11_vectsp_2,axiom,
$true,
file('SET007+241.ax',t11_vectsp_2) ).
fof(t12_vectsp_2,axiom,
$true,
file('SET007+241.ax',t12_vectsp_2) ).
fof(t13_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ) ),
file('SET007+241.ax',t13_vectsp_2) ).
fof(t14_vectsp_2,axiom,
$true,
file('SET007+241.ax',t14_vectsp_2) ).
fof(t15_vectsp_2,axiom,
$true,
file('SET007+241.ax',t15_vectsp_2) ).
fof(t16_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k1_rlvect_1(A) != k2_group_1(A)
& ~ ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,B,C) != k2_group_1(A) )
& B != k1_rlvect_1(A) ) ) )
=> ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ) ) ),
file('SET007+241.ax',t16_vectsp_2) ).
fof(t17_vectsp_2,axiom,
$true,
file('SET007+241.ax',t17_vectsp_2) ).
fof(t18_vectsp_2,axiom,
$true,
file('SET007+241.ax',t18_vectsp_2) ).
fof(t19_vectsp_2,axiom,
$true,
file('SET007+241.ax',t19_vectsp_2) ).
fof(t20_vectsp_2,axiom,
$true,
file('SET007+241.ax',t20_vectsp_2) ).
fof(t21_vectsp_2,axiom,
$true,
file('SET007+241.ax',t21_vectsp_2) ).
fof(t22_vectsp_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( C = k6_rlvect_1(A,D,B)
=> k4_rlvect_1(A,B,C) = D )
& ( k4_rlvect_1(A,B,C) = D
=> C = k6_rlvect_1(A,D,B) )
& ( B = k6_rlvect_1(A,D,C)
=> k4_rlvect_1(A,B,C) = D )
& ( k4_rlvect_1(A,B,C) = D
=> B = k6_rlvect_1(A,D,C) ) ) ) ) ) ),
file('SET007+241.ax',t22_vectsp_2) ).
fof(t23_vectsp_2,axiom,
$true,
file('SET007+241.ax',t23_vectsp_2) ).
fof(t24_vectsp_2,axiom,
$true,
file('SET007+241.ax',t24_vectsp_2) ).
fof(t25_vectsp_2,axiom,
$true,
file('SET007+241.ax',t25_vectsp_2) ).
fof(t26_vectsp_2,axiom,
$true,
file('SET007+241.ax',t26_vectsp_2) ).
fof(t27_vectsp_2,axiom,
$true,
file('SET007+241.ax',t27_vectsp_2) ).
fof(t28_vectsp_2,axiom,
$true,
file('SET007+241.ax',t28_vectsp_2) ).
fof(t29_vectsp_2,axiom,
$true,
file('SET007+241.ax',t29_vectsp_2) ).
fof(t30_vectsp_2,axiom,
$true,
file('SET007+241.ax',t30_vectsp_2) ).
fof(t31_vectsp_2,axiom,
$true,
file('SET007+241.ax',t31_vectsp_2) ).
fof(t32_vectsp_2,axiom,
$true,
file('SET007+241.ax',t32_vectsp_2) ).
fof(t33_vectsp_2,axiom,
$true,
file('SET007+241.ax',t33_vectsp_2) ).
fof(t34_vectsp_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B = k1_rlvect_1(A)
<=> k5_rlvect_1(A,B) = k1_rlvect_1(A) ) ) ),
file('SET007+241.ax',t34_vectsp_2) ).
fof(t35_vectsp_2,axiom,
$true,
file('SET007+241.ax',t35_vectsp_2) ).
fof(t36_vectsp_2,axiom,
$true,
file('SET007+241.ax',t36_vectsp_2) ).
fof(t37_vectsp_2,axiom,
$true,
file('SET007+241.ax',t37_vectsp_2) ).
fof(t38_vectsp_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ? [D] :
( B = k4_rlvect_1(A,D,C)
& B = k4_rlvect_1(A,C,D)
& m1_subset_1(D,u1_struct_0(A)) ) ) ) ),
file('SET007+241.ax',t38_vectsp_2) ).
fof(t39_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v7_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k2_group_1(A)
=> ( C != k1_rlvect_1(A)
& B != k1_rlvect_1(A) ) ) ) ) ),
file('SET007+241.ax',t39_vectsp_2) ).
fof(t40_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ~ ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k1_group_1(A,C,B) != k2_group_1(A) )
& B != k1_rlvect_1(A) ) ) ),
file('SET007+241.ax',t40_vectsp_2) ).
fof(t41_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k2_group_1(A)
=> k1_group_1(A,C,B) = k2_group_1(A) ) ) ) ),
file('SET007+241.ax',t41_vectsp_2) ).
fof(t42_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v7_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k1_group_1(A,B,D)
=> ( C = D
| B = k1_rlvect_1(A) ) ) ) ) ) ),
file('SET007+241.ax',t42_vectsp_2) ).
fof(d6_vectsp_2,axiom,
$true,
file('SET007+241.ax',d6_vectsp_2) ).
fof(d7_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v7_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k1_vectsp_2(A,B)
<=> k1_group_1(A,B,C) = k2_group_1(A) ) ) ) ) ),
file('SET007+241.ax',d7_vectsp_2) ).
fof(d8_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k2_vectsp_2(A,B,C) = k1_group_1(A,B,k1_vectsp_2(A,C)) ) ) ),
file('SET007+241.ax',d8_vectsp_2) ).
fof(t43_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ( k1_group_1(A,k1_vectsp_2(A,B),B) = k2_group_1(A)
& k1_group_1(A,B,k1_vectsp_2(A,B)) = k2_group_1(A) ) ) ) ),
file('SET007+241.ax',t43_vectsp_2) ).
fof(t44_vectsp_2,axiom,
$true,
file('SET007+241.ax',t44_vectsp_2) ).
fof(t45_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_group_1(A,B,C) = k2_group_1(A)
=> ( C = k1_vectsp_2(A,B)
& B = k1_vectsp_2(A,C) ) ) ) ) ),
file('SET007+241.ax',t45_vectsp_2) ).
fof(t46_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ~ ( k1_group_1(A,k1_vectsp_2(A,B),k1_vectsp_2(A,C)) != k1_vectsp_2(A,k1_group_1(A,C,B))
& C != k1_rlvect_1(A)
& B != k1_rlvect_1(A) ) ) ) ),
file('SET007+241.ax',t46_vectsp_2) ).
fof(t47_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ~ ( C != k1_rlvect_1(A)
& B != k1_rlvect_1(A)
& k1_group_1(A,B,C) = k1_rlvect_1(A) ) ) ) ),
file('SET007+241.ax',t47_vectsp_2) ).
fof(t48_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ~ ( k1_vectsp_2(A,B) = k1_rlvect_1(A)
& B != k1_rlvect_1(A) ) ) ),
file('SET007+241.ax',t48_vectsp_2) ).
fof(t49_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> k1_vectsp_2(A,k1_vectsp_2(A,B)) = B ) ) ),
file('SET007+241.ax',t49_vectsp_2) ).
fof(t50_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ( k2_vectsp_2(A,k2_group_1(A),k1_vectsp_2(A,B)) = B
& k2_vectsp_2(A,k2_group_1(A),B) = k1_vectsp_2(A,B) ) ) ) ),
file('SET007+241.ax',t50_vectsp_2) ).
fof(t51_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ( k1_group_1(A,k2_vectsp_2(A,k2_group_1(A),B),B) = k2_group_1(A)
& k1_group_1(A,B,k2_vectsp_2(A,k2_group_1(A),B)) = k2_group_1(A) ) ) ) ),
file('SET007+241.ax',t51_vectsp_2) ).
fof(t52_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> k2_vectsp_2(A,B,B) = k2_group_1(A) ) ) ),
file('SET007+241.ax',t52_vectsp_2) ).
fof(t53_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ ( k2_vectsp_2(A,D,B) != k2_vectsp_2(A,k1_group_1(A,D,C),k1_group_1(A,B,C))
& C != k1_rlvect_1(A)
& B != k1_rlvect_1(A) ) ) ) ) ),
file('SET007+241.ax',t53_vectsp_2) ).
fof(t54_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ( k2_vectsp_2(A,C,k5_rlvect_1(A,B)) = k5_rlvect_1(A,k2_vectsp_2(A,C,B))
& k5_rlvect_1(A,k2_vectsp_2(A,C,B)) = k2_vectsp_2(A,k5_rlvect_1(A,C),B) ) ) ) ) ),
file('SET007+241.ax',t54_vectsp_2) ).
fof(t55_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> ( k6_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k6_rlvect_1(A,C,D),B)
& k4_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k4_rlvect_1(A,C,D),B) ) ) ) ) ) ),
file('SET007+241.ax',t55_vectsp_2) ).
fof(t56_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ ( k2_vectsp_2(A,D,k2_vectsp_2(A,B,C)) != k2_vectsp_2(A,k1_group_1(A,D,C),B)
& C != k1_rlvect_1(A)
& B != k1_rlvect_1(A) ) ) ) ) ),
file('SET007+241.ax',t56_vectsp_2) ).
fof(t57_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( B != k1_rlvect_1(A)
=> k1_group_1(A,k2_vectsp_2(A,C,B),B) = C ) ) ) ),
file('SET007+241.ax',t57_vectsp_2) ).
fof(d9_vectsp_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k3_vectsp_2(A) = g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A)) ),
file('SET007+241.ax',d9_vectsp_2) ).
fof(d10_vectsp_2,axiom,
$true,
file('SET007+241.ax',d10_vectsp_2) ).
fof(d11_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k4_vectsp_2(A) = g4_vectsp_1(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)) ),
file('SET007+241.ax',d11_vectsp_2) ).
fof(d12_vectsp_2,axiom,
$true,
file('SET007+241.ax',d12_vectsp_2) ).
fof(d13_vectsp_2,axiom,
$true,
file('SET007+241.ax',d13_vectsp_2) ).
fof(d14_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k5_vectsp_2(A) = g1_vectsp_2(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)) ),
file('SET007+241.ax',d14_vectsp_2) ).
fof(d15_vectsp_2,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k6_vectsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C) ) ) ) ),
file('SET007+241.ax',d15_vectsp_2) ).
fof(d16_vectsp_2,axiom,
$true,
file('SET007+241.ax',d16_vectsp_2) ).
fof(d17_vectsp_2,axiom,
! [A] :
( ( m2_relset_1(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_2(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_1(A) )
=> A = k7_vectsp_2 ),
file('SET007+241.ax',d17_vectsp_2) ).
fof(d18_vectsp_2,axiom,
! [A] :
( m1_subset_1(A,k1_tarski(k1_xboole_0))
=> A = k8_vectsp_2 ),
file('SET007+241.ax',d18_vectsp_2) ).
fof(d19_vectsp_2,axiom,
$true,
file('SET007+241.ax',d19_vectsp_2) ).
fof(d20_vectsp_2,axiom,
$true,
file('SET007+241.ax',d20_vectsp_2) ).
fof(d21_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k9_vectsp_2(A,B) = g2_vectsp_2(A,B,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(A),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(B))) ) ),
file('SET007+241.ax',d21_vectsp_2) ).
fof(t58_vectsp_2,axiom,
$true,
file('SET007+241.ax',t58_vectsp_2) ).
fof(t59_vectsp_2,axiom,
$true,
file('SET007+241.ax',t59_vectsp_2) ).
fof(t60_vectsp_2,axiom,
$true,
file('SET007+241.ax',t60_vectsp_2) ).
fof(t61_vectsp_2,axiom,
$true,
file('SET007+241.ax',t61_vectsp_2) ).
fof(t62_vectsp_2,axiom,
$true,
file('SET007+241.ax',t62_vectsp_2) ).
fof(t63_vectsp_2,axiom,
$true,
file('SET007+241.ax',t63_vectsp_2) ).
fof(t64_vectsp_2,axiom,
$true,
file('SET007+241.ax',t64_vectsp_2) ).
fof(t65_vectsp_2,axiom,
$true,
file('SET007+241.ax',t65_vectsp_2) ).
fof(t66_vectsp_2,axiom,
$true,
file('SET007+241.ax',t66_vectsp_2) ).
fof(t67_vectsp_2,axiom,
$true,
file('SET007+241.ax',t67_vectsp_2) ).
fof(t68_vectsp_2,axiom,
$true,
file('SET007+241.ax',t68_vectsp_2) ).
fof(t69_vectsp_2,axiom,
$true,
file('SET007+241.ax',t69_vectsp_2) ).
fof(t70_vectsp_2,axiom,
$true,
file('SET007+241.ax',t70_vectsp_2) ).
fof(t71_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_vectsp_2(A)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k4_vectsp_2(A)))
=> ( k6_vectsp_1(A,k4_vectsp_2(A),k2_group_1(A),D) = D
& k6_vectsp_1(A,k4_vectsp_2(A),k1_group_1(A,B,C),D) = k6_vectsp_1(A,k4_vectsp_2(A),B,k6_vectsp_1(A,k4_vectsp_2(A),C,D))
& k6_vectsp_1(A,k4_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),C,D))
& k6_vectsp_1(A,k4_vectsp_2(A),B,k4_rlvect_1(k4_vectsp_2(A),D,E)) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),B,E)) ) ) ) ) ) ),
file('SET007+241.ax',t71_vectsp_2) ).
fof(t72_vectsp_2,axiom,
$true,
file('SET007+241.ax',t72_vectsp_2) ).
fof(t73_vectsp_2,axiom,
$true,
file('SET007+241.ax',t73_vectsp_2) ).
fof(t74_vectsp_2,axiom,
$true,
file('SET007+241.ax',t74_vectsp_2) ).
fof(t75_vectsp_2,axiom,
$true,
file('SET007+241.ax',t75_vectsp_2) ).
fof(t76_vectsp_2,axiom,
$true,
file('SET007+241.ax',t76_vectsp_2) ).
fof(t77_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k5_vectsp_2(A)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k5_vectsp_2(A)))
=> ( k6_vectsp_2(A,k5_vectsp_2(A),k2_group_1(A),D) = D
& k6_vectsp_2(A,k5_vectsp_2(A),k1_group_1(A,C,B),D) = k6_vectsp_2(A,k5_vectsp_2(A),B,k6_vectsp_2(A,k5_vectsp_2(A),C,D))
& k6_vectsp_2(A,k5_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),C,D))
& k6_vectsp_2(A,k5_vectsp_2(A),B,k4_rlvect_1(k5_vectsp_2(A),D,E)) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),B,E)) ) ) ) ) ) ),
file('SET007+241.ax',t77_vectsp_2) ).
fof(d22_vectsp_2,axiom,
$true,
file('SET007+241.ax',d22_vectsp_2) ).
fof(d23_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& ~ v3_struct_0(B) )
=> ( v5_vectsp_2(B,A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( k6_vectsp_2(A,B,k2_group_1(A),E) = E
& k6_vectsp_2(A,B,k1_group_1(A,D,C),E) = k6_vectsp_2(A,B,C,k6_vectsp_2(A,B,D,E))
& k6_vectsp_2(A,B,k2_rlvect_1(A,C,D),E) = k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,D,E))
& k6_vectsp_2(A,B,C,k2_rlvect_1(B,E,F)) = k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,C,F)) ) ) ) ) ) ) ) ),
file('SET007+241.ax',d23_vectsp_2) ).
fof(d24_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l2_vectsp_2(C,A,B)
& ~ v3_struct_0(C) )
=> ( v6_vectsp_2(C,A,B)
<=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(C))
=> k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,E,F)) = k6_vectsp_2(B,C,E,k6_vectsp_1(A,C,D,F)) ) ) ) ) ) ) ),
file('SET007+241.ax',d24_vectsp_2) ).
fof(t78_vectsp_2,axiom,
$true,
file('SET007+241.ax',t78_vectsp_2) ).
fof(t79_vectsp_2,axiom,
$true,
file('SET007+241.ax',t79_vectsp_2) ).
fof(t80_vectsp_2,axiom,
$true,
file('SET007+241.ax',t80_vectsp_2) ).
fof(t81_vectsp_2,axiom,
$true,
file('SET007+241.ax',t81_vectsp_2) ).
fof(t82_vectsp_2,axiom,
$true,
file('SET007+241.ax',t82_vectsp_2) ).
fof(t83_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l2_vectsp_2(C,A,B)
& ~ v3_struct_0(C) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ! [H] :
( m1_subset_1(H,u1_struct_0(C))
=> ! [I] :
( m1_subset_1(I,u1_struct_0(C))
=> ( k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,F,H)) = k6_vectsp_2(B,C,F,k6_vectsp_1(A,C,D,H))
& k6_vectsp_2(B,C,k2_group_1(B),H) = H
& k6_vectsp_2(B,C,k1_group_1(B,G,F),H) = k6_vectsp_2(B,C,F,k6_vectsp_2(B,C,G,H))
& k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),H) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,G,H))
& k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,F,I))
& k6_vectsp_1(A,C,k2_group_1(A),H) = H
& k6_vectsp_1(A,C,k1_group_1(A,D,E),H) = k6_vectsp_1(A,C,D,k6_vectsp_1(A,C,E,H))
& k6_vectsp_1(A,C,k4_rlvect_1(A,D,E),H) = k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,E,H))
& k6_vectsp_1(A,C,D,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,D,I)) ) ) ) ) ) ) )
<=> ( v6_vectsp_2(C,A,B)
& v12_vectsp_1(C,A)
& v5_vectsp_2(C,B) ) ) ) ) ),
file('SET007+241.ax',t83_vectsp_2) ).
fof(t84_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( l2_vectsp_2(k9_vectsp_2(A,B),A,B)
& v6_vectsp_2(k9_vectsp_2(A,B),A,B)
& v5_vectsp_2(k9_vectsp_2(A,B),B)
& v12_vectsp_1(k9_vectsp_2(A,B),A)
& v6_rlvect_1(k9_vectsp_2(A,B))
& v5_rlvect_1(k9_vectsp_2(A,B))
& v4_rlvect_1(k9_vectsp_2(A,B))
& v3_rlvect_1(k9_vectsp_2(A,B))
& ~ v3_struct_0(k9_vectsp_2(A,B)) ) ) ),
file('SET007+241.ax',t84_vectsp_2) ).
fof(t85_vectsp_2,axiom,
! [A] :
( ( l1_vectsp_1(A)
& ~ v3_struct_0(A) )
=> ( v1_vectsp_2(A)
=> k2_vectsp_1(A) = k2_group_1(A) ) ),
file('SET007+241.ax',t85_vectsp_2) ).
fof(dt_l1_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( l1_vectsp_2(B,A)
=> l1_rlvect_1(B) ) ),
file('SET007+241.ax',dt_l1_vectsp_2) ).
fof(existence_l1_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] : l1_vectsp_2(B,A) ),
file('SET007+241.ax',existence_l1_vectsp_2) ).
fof(dt_l2_vectsp_2,axiom,
! [A,B] :
( ( l1_struct_0(B)
& l1_struct_0(A) )
=> ! [C] :
( l2_vectsp_2(C,A,B)
=> ( l1_vectsp_2(C,B)
& l4_vectsp_1(C,A) ) ) ),
file('SET007+241.ax',dt_l2_vectsp_2) ).
fof(existence_l2_vectsp_2,axiom,
! [A,B] :
( ( l1_struct_0(B)
& l1_struct_0(A) )
=> ? [C] : l2_vectsp_2(C,A,B) ),
file('SET007+241.ax',existence_l2_vectsp_2) ).
fof(abstractness_v3_vectsp_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& l1_struct_0(A) )
=> ( v3_vectsp_2(B,A)
=> B = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ),
file('SET007+241.ax',abstractness_v3_vectsp_2) ).
fof(abstractness_v4_vectsp_2,axiom,
! [A,B,C] :
( ( l2_vectsp_2(C,A,B)
& l1_struct_0(B)
& l1_struct_0(A) )
=> ( v4_vectsp_2(C,A,B)
=> C = g2_vectsp_2(A,B,u1_struct_0(C),u1_rlvect_1(C),u2_struct_0(C),u2_vectsp_1(B,C),u1_vectsp_2(B,C)) ) ),
file('SET007+241.ax',abstractness_v4_vectsp_2) ).
fof(dt_k1_vectsp_2,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v7_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_vectsp_2(A,B),u1_struct_0(A)) ),
file('SET007+241.ax',dt_k1_vectsp_2) ).
fof(dt_k2_vectsp_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k2_vectsp_2(A,B,C),u1_struct_0(A)) ),
file('SET007+241.ax',dt_k2_vectsp_2) ).
fof(dt_k3_vectsp_2,axiom,
! [A] :
( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l1_rlvect_1(k3_vectsp_2(A))
& v6_rlvect_1(k3_vectsp_2(A))
& v5_rlvect_1(k3_vectsp_2(A))
& v4_rlvect_1(k3_vectsp_2(A))
& v3_rlvect_1(k3_vectsp_2(A))
& v1_rlvect_1(k3_vectsp_2(A))
& ~ v3_struct_0(k3_vectsp_2(A)) ) ),
file('SET007+241.ax',dt_k3_vectsp_2) ).
fof(dt_k4_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l4_vectsp_1(k4_vectsp_2(A),A)
& v11_vectsp_1(k4_vectsp_2(A),A)
& v6_rlvect_1(k4_vectsp_2(A))
& v5_rlvect_1(k4_vectsp_2(A))
& v4_rlvect_1(k4_vectsp_2(A))
& v3_rlvect_1(k4_vectsp_2(A))
& ~ v3_struct_0(k4_vectsp_2(A)) ) ),
file('SET007+241.ax',dt_k4_vectsp_2) ).
fof(dt_k5_vectsp_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l1_vectsp_2(k5_vectsp_2(A),A)
& v3_vectsp_2(k5_vectsp_2(A),A)
& v6_rlvect_1(k5_vectsp_2(A))
& v5_rlvect_1(k5_vectsp_2(A))
& v4_rlvect_1(k5_vectsp_2(A))
& v3_rlvect_1(k5_vectsp_2(A))
& ~ v3_struct_0(k5_vectsp_2(A)) ) ),
file('SET007+241.ax',dt_k5_vectsp_2) ).
fof(dt_k6_vectsp_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,u1_struct_0(B))
& m1_subset_1(C,u1_struct_0(A))
& l1_vectsp_2(B,A)
& ~ v3_struct_0(B)
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k6_vectsp_2(A,B,C,D),u1_struct_0(B)) ),
file('SET007+241.ax',dt_k6_vectsp_2) ).
fof(dt_k7_vectsp_2,axiom,
( m2_relset_1(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_2(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_1(k7_vectsp_2) ),
file('SET007+241.ax',dt_k7_vectsp_2) ).
fof(dt_k8_vectsp_2,axiom,
m1_subset_1(k8_vectsp_2,k1_tarski(k1_xboole_0)),
file('SET007+241.ax',dt_k8_vectsp_2) ).
fof(dt_k9_vectsp_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( l2_vectsp_2(k9_vectsp_2(A,B),A,B)
& v4_vectsp_2(k9_vectsp_2(A,B),A,B)
& v6_rlvect_1(k9_vectsp_2(A,B))
& v5_rlvect_1(k9_vectsp_2(A,B))
& v4_rlvect_1(k9_vectsp_2(A,B))
& v3_rlvect_1(k9_vectsp_2(A,B))
& ~ v3_struct_0(k9_vectsp_2(A,B)) ) ),
file('SET007+241.ax',dt_k9_vectsp_2) ).
fof(dt_u1_vectsp_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& l1_struct_0(A) )
=> ( m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B))
& v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B))
& v1_funct_1(u1_vectsp_2(A,B)) ) ),
file('SET007+241.ax',dt_u1_vectsp_2) ).
fof(dt_g1_vectsp_2,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
& v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
& v1_funct_1(E)
& m1_subset_1(D,B)
& m1_relset_1(C,k2_zfmisc_1(B,B),B)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& v1_funct_1(C)
& l1_struct_0(A) )
=> ( l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A)
& v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) ) ),
file('SET007+241.ax',dt_g1_vectsp_2) ).
fof(free_g1_vectsp_2,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
& v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
& v1_funct_1(E)
& m1_subset_1(D,B)
& m1_relset_1(C,k2_zfmisc_1(B,B),B)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& v1_funct_1(C)
& l1_struct_0(A) )
=> ! [F,G,H,I,J] :
( g1_vectsp_2(A,B,C,D,E) = g1_vectsp_2(F,G,H,I,J)
=> ( E = J
& D = I
& C = H
& B = G
& A = F ) ) ),
file('SET007+241.ax',free_g1_vectsp_2) ).
fof(dt_g2_vectsp_2,axiom,
! [A,B,C,D,E,F,G] :
( ( m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
& v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
& v1_funct_1(G)
& m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C)
& v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C)
& v1_funct_1(F)
& m1_subset_1(E,C)
& m1_relset_1(D,k2_zfmisc_1(C,C),C)
& v1_funct_2(D,k2_zfmisc_1(C,C),C)
& v1_funct_1(D)
& l1_struct_0(B)
& l1_struct_0(A) )
=> ( l2_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B)
& v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) ) ),
file('SET007+241.ax',dt_g2_vectsp_2) ).
fof(free_g2_vectsp_2,axiom,
! [A,B,C,D,E,F,G] :
( ( m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
& v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
& v1_funct_1(G)
& m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C)
& v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C)
& v1_funct_1(F)
& m1_subset_1(E,C)
& m1_relset_1(D,k2_zfmisc_1(C,C),C)
& v1_funct_2(D,k2_zfmisc_1(C,C),C)
& v1_funct_1(D)
& l1_struct_0(B)
& l1_struct_0(A) )
=> ! [H,I,J,K,L,M,N] :
( g2_vectsp_2(A,B,C,D,E,F,G) = g2_vectsp_2(H,I,J,K,L,M,N)
=> ( G = N
& F = M
& E = L
& D = K
& C = J
& B = I
& A = H ) ) ),
file('SET007+241.ax',free_g2_vectsp_2) ).
fof(t1_mod_1,axiom,
$true,
file('SET007+276.ax',t1_mod_1) ).
fof(t2_mod_1,axiom,
$true,
file('SET007+276.ax',t2_mod_1) ).
fof(t3_mod_1,axiom,
$true,
file('SET007+276.ax',t3_mod_1) ).
fof(t4_mod_1,axiom,
$true,
file('SET007+276.ax',t4_mod_1) ).
fof(t5_mod_1,axiom,
$true,
file('SET007+276.ax',t5_mod_1) ).
fof(t6_mod_1,axiom,
$true,
file('SET007+276.ax',t6_mod_1) ).
fof(t7_mod_1,axiom,
$true,
file('SET007+276.ax',t7_mod_1) ).
fof(t8_mod_1,axiom,
$true,
file('SET007+276.ax',t8_mod_1) ).
fof(t9_mod_1,axiom,
$true,
file('SET007+276.ax',t9_mod_1) ).
fof(t10_mod_1,axiom,
$true,
file('SET007+276.ax',t10_mod_1) ).
fof(t11_mod_1,axiom,
$true,
file('SET007+276.ax',t11_mod_1) ).
fof(t12_mod_1,axiom,
$true,
file('SET007+276.ax',t12_mod_1) ).
fof(t13_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v6_vectsp_1(A)
& v4_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_group_1(A,B,k5_rlvect_1(A,k2_group_1(A))) = k5_rlvect_1(A,B) ) ),
file('SET007+276.ax',t13_mod_1) ).
fof(t14_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v5_vectsp_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k1_group_1(A,k5_rlvect_1(A,k2_group_1(A)),B) = k5_rlvect_1(A,B) ) ),
file('SET007+276.ax',t14_mod_1) ).
fof(t15_mod_1,axiom,
$true,
file('SET007+276.ax',t15_mod_1) ).
fof(t16_mod_1,axiom,
$true,
file('SET007+276.ax',t16_mod_1) ).
fof(t17_mod_1,axiom,
$true,
file('SET007+276.ax',t17_mod_1) ).
fof(t18_mod_1,axiom,
$true,
file('SET007+276.ax',t18_mod_1) ).
fof(t19_mod_1,axiom,
$true,
file('SET007+276.ax',t19_mod_1) ).
fof(t20_mod_1,axiom,
$true,
file('SET007+276.ax',t20_mod_1) ).
fof(t21_mod_1,axiom,
$true,
file('SET007+276.ax',t21_mod_1) ).
fof(t22_mod_1,axiom,
$true,
file('SET007+276.ax',t22_mod_1) ).
fof(t23_mod_1,axiom,
$true,
file('SET007+276.ax',t23_mod_1) ).
fof(t24_mod_1,axiom,
$true,
file('SET007+276.ax',t24_mod_1) ).
fof(t25_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l4_vectsp_1(C,A)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C)
<=> ( D = k1_rlvect_1(C)
| B = k1_rlvect_1(A) ) ) ) ) ) ),
file('SET007+276.ax',t25_mod_1) ).
fof(t26_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l4_vectsp_1(C,A)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( B != k1_rlvect_1(A)
=> k6_vectsp_1(A,C,k1_vectsp_2(A,B),k6_vectsp_1(A,C,B,D)) = D ) ) ) ) ),
file('SET007+276.ax',t26_mod_1) ).
fof(t27_mod_1,axiom,
$true,
file('SET007+276.ax',t27_mod_1) ).
fof(t28_mod_1,axiom,
$true,
file('SET007+276.ax',t28_mod_1) ).
fof(t29_mod_1,axiom,
$true,
file('SET007+276.ax',t29_mod_1) ).
fof(t30_mod_1,axiom,
$true,
file('SET007+276.ax',t30_mod_1) ).
fof(t31_mod_1,axiom,
$true,
file('SET007+276.ax',t31_mod_1) ).
fof(t32_mod_1,axiom,
$true,
file('SET007+276.ax',t32_mod_1) ).
fof(t33_mod_1,axiom,
$true,
file('SET007+276.ax',t33_mod_1) ).
fof(t34_mod_1,axiom,
$true,
file('SET007+276.ax',t34_mod_1) ).
fof(t35_mod_1,axiom,
$true,
file('SET007+276.ax',t35_mod_1) ).
fof(t36_mod_1,axiom,
$true,
file('SET007+276.ax',t36_mod_1) ).
fof(t37_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( k6_vectsp_2(A,B,C,k1_rlvect_1(B)) = k1_rlvect_1(B)
& k6_vectsp_2(A,B,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(B,D)
& k6_vectsp_2(A,B,k1_rlvect_1(A),D) = k1_rlvect_1(B) ) ) ) ) ),
file('SET007+276.ax',t37_mod_1) ).
fof(t38_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( k6_rlvect_1(B,E,k6_vectsp_2(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_2(A,B,k5_rlvect_1(A,C),D))
& k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) = k6_vectsp_2(A,B,k5_rlvect_1(A,C),D) ) ) ) ) ) ),
file('SET007+276.ax',t38_mod_1) ).
fof(t39_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k6_vectsp_2(A,B,C,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) ) ) ) ),
file('SET007+276.ax',t39_mod_1) ).
fof(t40_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> k6_vectsp_2(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)) ) ) ) ) ),
file('SET007+276.ax',t40_mod_1) ).
fof(t41_mod_1,axiom,
$true,
file('SET007+276.ax',t41_mod_1) ).
fof(t42_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( k6_vectsp_2(A,C,B,D) = k1_rlvect_1(C)
<=> ( D = k1_rlvect_1(C)
| B = k1_rlvect_1(A) ) ) ) ) ) ),
file('SET007+276.ax',t42_mod_1) ).
fof(t43_mod_1,axiom,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ( B != k1_rlvect_1(A)
=> k6_vectsp_2(A,C,k1_vectsp_2(A,B),k6_vectsp_2(A,C,B,D)) = D ) ) ) ) ),
file('SET007+276.ax',t43_mod_1) ).
fof(rc1_rmod_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v5_vectsp_2(C,A)
& v3_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& m1_rmod_2(C,A,B) ) ),
file('SET007+278.ax',rc1_rmod_2) ).
fof(d1_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( v1_rmod_2(C,A,B)
<=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( r2_hidden(E,C)
=> r2_hidden(k6_vectsp_2(A,B,D,E),C) ) ) )
& ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( ( r2_hidden(E,C)
& r2_hidden(D,C) )
=> r2_hidden(k4_rlvect_1(B,D,E),C) ) ) ) ) ) ) ) ),
file('SET007+278.ax',d1_rmod_2) ).
fof(t1_rmod_2,axiom,
$true,
file('SET007+278.ax',t1_rmod_2) ).
fof(t2_rmod_2,axiom,
$true,
file('SET007+278.ax',t2_rmod_2) ).
fof(t3_rmod_2,axiom,
$true,
file('SET007+278.ax',t3_rmod_2) ).
fof(t4_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( v1_rmod_2(C,A,B)
=> ( r2_hidden(k1_rlvect_1(B),C)
| C = k1_xboole_0 ) ) ) ) ),
file('SET007+278.ax',t4_rmod_2) ).
fof(t5_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( v1_rmod_2(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( r2_hidden(D,C)
=> r2_hidden(k5_rlvect_1(B,D),C) ) ) ) ) ) ),
file('SET007+278.ax',t5_rmod_2) ).
fof(t6_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( v1_rmod_2(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( ( r2_hidden(E,C)
& r2_hidden(D,C) )
=> r2_hidden(k6_rlvect_1(B,D,E),C) ) ) ) ) ) ) ),
file('SET007+278.ax',t6_rmod_2) ).
fof(t7_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> v1_rmod_2(k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)),A,B) ) ),
file('SET007+278.ax',t7_rmod_2) ).
fof(t8_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( u1_struct_0(B) = C
=> v1_rmod_2(C,A,B) ) ) ) ),
file('SET007+278.ax',t8_rmod_2) ).
fof(t10_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( v1_rmod_2(D,A,B)
& v1_rmod_2(C,A,B) )
=> v1_rmod_2(k5_subset_1(u1_struct_0(B),C,D),A,B) ) ) ) ) ),
file('SET007+278.ax',t10_rmod_2) ).
fof(d2_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ( m1_rmod_2(C,A,B)
<=> ( u1_vectsp_2(A,C) = k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))
& u1_rlvect_1(C) = k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))
& u2_struct_0(C) = u2_struct_0(B)
& r1_tarski(u1_struct_0(C),u1_struct_0(B)) ) ) ) ) ),
file('SET007+278.ax',d2_rmod_2) ).
fof(t11_rmod_2,axiom,
$true,
file('SET007+278.ax',t11_rmod_2) ).
fof(t12_rmod_2,axiom,
$true,
file('SET007+278.ax',t12_rmod_2) ).
fof(t13_rmod_2,axiom,
$true,
file('SET007+278.ax',t13_rmod_2) ).
fof(t14_rmod_2,axiom,
$true,
file('SET007+278.ax',t14_rmod_2) ).
fof(t15_rmod_2,axiom,
$true,
file('SET007+278.ax',t15_rmod_2) ).
fof(t16_rmod_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_rmod_2(D,B,C)
=> ! [E] :
( m1_rmod_2(E,B,C)
=> ( ( m1_rmod_2(D,B,E)
& r1_rlvect_1(D,A) )
=> r1_rlvect_1(E,A) ) ) ) ) ),
file('SET007+278.ax',t16_rmod_2) ).
fof(t17_rmod_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_rmod_2(D,B,C)
=> ( r1_rlvect_1(D,A)
=> r1_rlvect_1(C,A) ) ) ) ),
file('SET007+278.ax',t17_rmod_2) ).
fof(t18_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> m1_subset_1(D,u1_struct_0(B)) ) ) ) ),
file('SET007+278.ax',t18_rmod_2) ).
fof(t19_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> k1_rlvect_1(C) = k1_rlvect_1(B) ) ) ),
file('SET007+278.ax',t19_rmod_2) ).
fof(t20_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> k1_rlvect_1(C) = k1_rlvect_1(D) ) ) ) ),
file('SET007+278.ax',t20_rmod_2) ).
fof(t21_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ! [F] :
( m1_subset_1(F,u1_struct_0(E))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(E))
=> ( ( G = D
& F = C )
=> k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D) ) ) ) ) ) ) ) ),
file('SET007+278.ax',t21_rmod_2) ).
fof(t22_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_rmod_2(E,A,C)
=> ! [F] :
( m1_subset_1(F,u1_struct_0(E))
=> ( F = D
=> k6_vectsp_2(A,E,B,F) = k6_vectsp_2(A,C,B,D) ) ) ) ) ) ) ),
file('SET007+278.ax',t22_rmod_2) ).
fof(t23_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(D))
=> ( E = C
=> k5_rlvect_1(B,C) = k5_rlvect_1(D,E) ) ) ) ) ) ),
file('SET007+278.ax',t23_rmod_2) ).
fof(t24_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ! [F] :
( m1_subset_1(F,u1_struct_0(E))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(E))
=> ( ( G = D
& F = C )
=> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D) ) ) ) ) ) ) ) ),
file('SET007+278.ax',t24_rmod_2) ).
fof(t25_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> r1_rlvect_1(C,k1_rlvect_1(B)) ) ) ),
file('SET007+278.ax',t25_rmod_2) ).
fof(t26_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> r1_rlvect_1(D,k1_rlvect_1(C)) ) ) ) ),
file('SET007+278.ax',t26_rmod_2) ).
fof(t27_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> r1_rlvect_1(B,k1_rlvect_1(C)) ) ) ),
file('SET007+278.ax',t27_rmod_2) ).
fof(t28_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ( r1_rlvect_1(E,D)
& r1_rlvect_1(E,C) )
=> r1_rlvect_1(E,k4_rlvect_1(B,C,D)) ) ) ) ) ) ),
file('SET007+278.ax',t28_rmod_2) ).
fof(t29_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_rmod_2(E,A,C)
=> ( r1_rlvect_1(E,D)
=> r1_rlvect_1(E,k6_vectsp_2(A,C,B,D)) ) ) ) ) ) ),
file('SET007+278.ax',t29_rmod_2) ).
fof(t30_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_rlvect_1(D,C)
=> r1_rlvect_1(D,k5_rlvect_1(B,C)) ) ) ) ) ),
file('SET007+278.ax',t30_rmod_2) ).
fof(t31_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ( r1_rlvect_1(E,D)
& r1_rlvect_1(E,C) )
=> r1_rlvect_1(E,k6_rlvect_1(B,C,D)) ) ) ) ) ) ),
file('SET007+278.ax',t31_rmod_2) ).
fof(t32_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> m1_rmod_2(B,A,B) ) ),
file('SET007+278.ax',t32_rmod_2) ).
fof(t33_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v3_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ( ( m1_rmod_2(B,A,C)
& m1_rmod_2(C,A,B) )
=> C = B ) ) ) ),
file('SET007+278.ax',t33_rmod_2) ).
fof(t34_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( ( l1_vectsp_2(D,A)
& v5_vectsp_2(D,A)
& v6_rlvect_1(D)
& v5_rlvect_1(D)
& v4_rlvect_1(D)
& v3_rlvect_1(D)
& ~ v3_struct_0(D) )
=> ( ( m1_rmod_2(C,A,D)
& m1_rmod_2(B,A,C) )
=> m1_rmod_2(B,A,D) ) ) ) ) ),
file('SET007+278.ax',t34_rmod_2) ).
fof(t35_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_tarski(u1_struct_0(C),u1_struct_0(D))
=> m1_rmod_2(C,A,D) ) ) ) ) ),
file('SET007+278.ax',t35_rmod_2) ).
fof(t36_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( r1_rlvect_1(C,E)
=> r1_rlvect_1(D,E) ) )
=> m1_rmod_2(C,A,D) ) ) ) ) ),
file('SET007+278.ax',t36_rmod_2) ).
fof(t37_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( u1_struct_0(C) = u1_struct_0(D)
=> C = D ) ) ) ) ),
file('SET007+278.ax',t37_rmod_2) ).
fof(t38_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( r1_rlvect_1(C,E)
<=> r1_rlvect_1(D,E) ) )
=> C = D ) ) ) ) ),
file('SET007+278.ax',t38_rmod_2) ).
fof(t39_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ( u1_struct_0(C) = u1_struct_0(B)
=> C = B ) ) ) ),
file('SET007+278.ax',t39_rmod_2) ).
fof(t40_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(C,D) )
=> C = B ) ) ) ),
file('SET007+278.ax',t40_rmod_2) ).
fof(t41_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( u1_struct_0(D) = C
=> v1_rmod_2(C,A,B) ) ) ) ) ),
file('SET007+278.ax',t41_rmod_2) ).
fof(t42_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ~ ( ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> C != u1_struct_0(D) )
& v1_rmod_2(C,A,B)
& C != k1_xboole_0 ) ) ) ),
file('SET007+278.ax',t42_rmod_2) ).
fof(d3_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ( C = k1_rmod_2(A,B)
<=> u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)) ) ) ) ),
file('SET007+278.ax',d3_rmod_2) ).
fof(d4_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ),
file('SET007+278.ax',d4_rmod_2) ).
fof(t43_rmod_2,axiom,
$true,
file('SET007+278.ax',t43_rmod_2) ).
fof(t44_rmod_2,axiom,
$true,
file('SET007+278.ax',t44_rmod_2) ).
fof(t45_rmod_2,axiom,
$true,
file('SET007+278.ax',t45_rmod_2) ).
fof(t46_rmod_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ( r1_rlvect_1(k1_rmod_2(B,C),A)
<=> A = k1_rlvect_1(C) ) ) ),
file('SET007+278.ax',t46_rmod_2) ).
fof(t47_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> k1_rmod_2(A,C) = k1_rmod_2(A,B) ) ) ),
file('SET007+278.ax',t47_rmod_2) ).
fof(t48_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> k1_rmod_2(A,C) = k1_rmod_2(A,D) ) ) ) ),
file('SET007+278.ax',t48_rmod_2) ).
fof(t49_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> m1_rmod_2(k1_rmod_2(A,C),A,B) ) ) ),
file('SET007+278.ax',t49_rmod_2) ).
fof(t50_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> m1_rmod_2(k1_rmod_2(A,B),A,C) ) ) ),
file('SET007+278.ax',t50_rmod_2) ).
fof(t51_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> m1_rmod_2(k1_rmod_2(A,C),A,D) ) ) ) ),
file('SET007+278.ax',t51_rmod_2) ).
fof(t52_rmod_2,axiom,
$true,
file('SET007+278.ax',t52_rmod_2) ).
fof(t53_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> m1_rmod_2(B,A,k2_rmod_2(A,B)) ) ),
file('SET007+278.ax',t53_rmod_2) ).
fof(d6_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( m2_rmod_2(D,A,B,C)
<=> ? [E] :
( D = k3_rmod_2(A,B,E,C)
& m1_subset_1(E,u1_struct_0(B)) ) ) ) ) ) ),
file('SET007+278.ax',d6_rmod_2) ).
fof(t54_rmod_2,axiom,
$true,
file('SET007+278.ax',t54_rmod_2) ).
fof(t55_rmod_2,axiom,
$true,
file('SET007+278.ax',t55_rmod_2) ).
fof(t56_rmod_2,axiom,
$true,
file('SET007+278.ax',t56_rmod_2) ).
fof(t57_rmod_2,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_rmod_2(E,B,C)
=> ( r2_hidden(A,k3_rmod_2(B,C,D,E))
<=> ? [F] :
( A = k4_rlvect_1(C,D,F)
& r1_rlvect_1(E,F)
& m1_subset_1(F,u1_struct_0(C)) ) ) ) ) ) ),
file('SET007+278.ax',t57_rmod_2) ).
fof(t58_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))
<=> r1_rlvect_1(D,C) ) ) ) ) ),
file('SET007+278.ax',t58_rmod_2) ).
fof(t59_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> r2_hidden(C,k3_rmod_2(A,B,C,D)) ) ) ) ),
file('SET007+278.ax',t59_rmod_2) ).
fof(t60_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> k3_rmod_2(A,B,k1_rlvect_1(B),C) = u1_struct_0(C) ) ) ),
file('SET007+278.ax',t60_rmod_2) ).
fof(t61_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k3_rmod_2(A,B,C,k1_rmod_2(A,B)) = k6_domain_1(u1_struct_0(B),C) ) ) ),
file('SET007+278.ax',t61_rmod_2) ).
fof(t62_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k3_rmod_2(A,B,C,k2_rmod_2(A,B)) = u1_struct_0(B) ) ) ),
file('SET007+278.ax',t62_rmod_2) ).
fof(t63_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))
<=> k3_rmod_2(A,B,C,D) = u1_struct_0(D) ) ) ) ) ),
file('SET007+278.ax',t63_rmod_2) ).
fof(t64_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_rlvect_1(D,C)
<=> k3_rmod_2(A,B,C,D) = u1_struct_0(D) ) ) ) ) ),
file('SET007+278.ax',t64_rmod_2) ).
fof(t65_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_rmod_2(E,A,C)
=> ( r1_rlvect_1(E,D)
=> k3_rmod_2(A,C,k6_vectsp_2(A,C,B,D),E) = u1_struct_0(E) ) ) ) ) ) ),
file('SET007+278.ax',t65_rmod_2) ).
fof(t66_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r1_rlvect_1(E,C)
<=> k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,k4_rlvect_1(B,D,C),E) ) ) ) ) ) ),
file('SET007+278.ax',t66_rmod_2) ).
fof(t67_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r1_rlvect_1(E,C)
<=> k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,k6_rlvect_1(B,D,C),E) ) ) ) ) ) ),
file('SET007+278.ax',t67_rmod_2) ).
fof(t68_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r2_hidden(C,k3_rmod_2(A,B,D,E))
<=> k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E) ) ) ) ) ) ),
file('SET007+278.ax',t68_rmod_2) ).
fof(t69_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_rmod_2(F,A,B)
=> ( ( r2_hidden(C,k3_rmod_2(A,B,E,F))
& r2_hidden(C,k3_rmod_2(A,B,D,F)) )
=> k3_rmod_2(A,B,D,F) = k3_rmod_2(A,B,E,F) ) ) ) ) ) ) ),
file('SET007+278.ax',t69_rmod_2) ).
fof(t70_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(C))
=> ! [E] :
( m1_rmod_2(E,A,C)
=> ( r1_rlvect_1(E,D)
=> r2_hidden(k6_vectsp_2(A,C,B,D),k3_rmod_2(A,C,D,E)) ) ) ) ) ) ),
file('SET007+278.ax',t70_rmod_2) ).
fof(t71_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_rlvect_1(D,C)
=> r2_hidden(k5_rlvect_1(B,C),k3_rmod_2(A,B,C,D)) ) ) ) ) ),
file('SET007+278.ax',t71_rmod_2) ).
fof(t72_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r2_hidden(k4_rlvect_1(B,C,D),k3_rmod_2(A,B,D,E))
<=> r1_rlvect_1(E,C) ) ) ) ) ) ),
file('SET007+278.ax',t72_rmod_2) ).
fof(t73_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r2_hidden(k6_rlvect_1(B,C,D),k3_rmod_2(A,B,C,E))
<=> r1_rlvect_1(E,D) ) ) ) ) ) ),
file('SET007+278.ax',t73_rmod_2) ).
fof(t74_rmod_2,axiom,
$true,
file('SET007+278.ax',t74_rmod_2) ).
fof(t75_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r2_hidden(C,k3_rmod_2(A,B,D,E))
<=> ? [F] :
( C = k6_rlvect_1(B,D,F)
& r1_rlvect_1(E,F)
& m1_subset_1(F,u1_struct_0(B)) ) ) ) ) ) ) ),
file('SET007+278.ax',t75_rmod_2) ).
fof(t76_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ? [F] :
( r2_hidden(D,k3_rmod_2(A,B,F,E))
& r2_hidden(C,k3_rmod_2(A,B,F,E))
& m1_subset_1(F,u1_struct_0(B)) )
<=> r1_rlvect_1(E,k6_rlvect_1(B,C,D)) ) ) ) ) ) ),
file('SET007+278.ax',t76_rmod_2) ).
fof(t77_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ~ ( ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ~ ( k4_rlvect_1(B,C,F) = D
& r1_rlvect_1(E,F) ) )
& k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E) ) ) ) ) ) ),
file('SET007+278.ax',t77_rmod_2) ).
fof(t78_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ~ ( ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ~ ( k6_rlvect_1(B,C,F) = D
& r1_rlvect_1(E,F) ) )
& k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E) ) ) ) ) ) ),
file('SET007+278.ax',t78_rmod_2) ).
fof(t79_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ! [E] :
( ( m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
=> ( k3_rmod_2(A,B,C,D) = k3_rmod_2(A,B,C,E)
<=> D = E ) ) ) ) ) ),
file('SET007+278.ax',t79_rmod_2) ).
fof(t80_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( ( m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
=> ! [F] :
( ( m1_rmod_2(F,A,B)
& v3_vectsp_2(F,A) )
=> ( k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,F)
=> E = F ) ) ) ) ) ) ),
file('SET007+278.ax',t80_rmod_2) ).
fof(t81_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ? [E] :
( r2_hidden(C,E)
& m2_rmod_2(E,A,B,D) ) ) ) ) ),
file('SET007+278.ax',t81_rmod_2) ).
fof(t82_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m2_rmod_2(D,A,B,C)
=> ( v1_rmod_2(D,A,B)
<=> D = u1_struct_0(C) ) ) ) ) ),
file('SET007+278.ax',t82_rmod_2) ).
fof(t83_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ! [E] :
( m2_rmod_2(E,A,B,C)
=> ! [F] :
( m2_rmod_2(F,A,B,D)
=> ( E = F
=> C = D ) ) ) ) ) ) ),
file('SET007+278.ax',t83_rmod_2) ).
fof(t84_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> m2_rmod_2(k6_domain_1(u1_struct_0(B),C),A,B,k1_rmod_2(A,B)) ) ) ),
file('SET007+278.ax',t84_rmod_2) ).
fof(t85_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ~ ( ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> C != k6_domain_1(u1_struct_0(B),D) )
& m2_rmod_2(C,A,B,k1_rmod_2(A,B)) ) ) ) ),
file('SET007+278.ax',t85_rmod_2) ).
fof(t86_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> m2_rmod_2(u1_struct_0(C),A,B,C) ) ) ),
file('SET007+278.ax',t86_rmod_2) ).
fof(t87_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> m2_rmod_2(u1_struct_0(B),A,B,k2_rmod_2(A,B)) ) ),
file('SET007+278.ax',t87_rmod_2) ).
fof(t88_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( m2_rmod_2(C,A,B,k2_rmod_2(A,B))
=> C = u1_struct_0(B) ) ) ) ),
file('SET007+278.ax',t88_rmod_2) ).
fof(t89_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m2_rmod_2(D,A,B,C)
=> ( r2_hidden(k1_rlvect_1(B),D)
<=> D = u1_struct_0(C) ) ) ) ) ),
file('SET007+278.ax',t89_rmod_2) ).
fof(t90_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m2_rmod_2(E,A,B,D)
=> ( r2_hidden(C,E)
<=> E = k3_rmod_2(A,B,C,D) ) ) ) ) ) ),
file('SET007+278.ax',t90_rmod_2) ).
fof(t91_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ! [F] :
( m2_rmod_2(F,A,B,E)
=> ~ ( ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ~ ( k4_rlvect_1(B,C,G) = D
& r1_rlvect_1(E,G) ) )
& r2_hidden(D,F)
& r2_hidden(C,F) ) ) ) ) ) ) ),
file('SET007+278.ax',t91_rmod_2) ).
fof(t92_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ! [F] :
( m2_rmod_2(F,A,B,E)
=> ~ ( ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ~ ( k6_rlvect_1(B,C,G) = D
& r1_rlvect_1(E,G) ) )
& r2_hidden(D,F)
& r2_hidden(C,F) ) ) ) ) ) ) ),
file('SET007+278.ax',t92_rmod_2) ).
fof(t93_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ? [F] :
( r2_hidden(D,F)
& r2_hidden(C,F)
& m2_rmod_2(F,A,B,E) )
<=> r1_rlvect_1(E,k6_rlvect_1(B,C,D)) ) ) ) ) ) ),
file('SET007+278.ax',t93_rmod_2) ).
fof(t94_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m2_rmod_2(E,A,B,D)
=> ! [F] :
( m2_rmod_2(F,A,B,D)
=> ( ( r2_hidden(C,F)
& r2_hidden(C,E) )
=> E = F ) ) ) ) ) ) ),
file('SET007+278.ax',t94_rmod_2) ).
fof(dt_m1_rmod_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) ) ) ),
file('SET007+278.ax',dt_m1_rmod_2) ).
fof(existence_m1_rmod_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] : m1_rmod_2(C,A,B) ),
file('SET007+278.ax',existence_m1_rmod_2) ).
fof(dt_m2_rmod_2,axiom,
! [A,B,C] :
( ( m1_rmod_2(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [D] :
( m2_rmod_2(D,A,B,C)
=> m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) ),
file('SET007+278.ax',dt_m2_rmod_2) ).
fof(existence_m2_rmod_2,axiom,
! [A,B,C] :
( ( m1_rmod_2(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [D] : m2_rmod_2(D,A,B,C) ),
file('SET007+278.ax',existence_m2_rmod_2) ).
fof(dt_k1_rmod_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rmod_2(k1_rmod_2(A,B),A,B)
& v3_vectsp_2(k1_rmod_2(A,B),A) ) ),
file('SET007+278.ax',dt_k1_rmod_2) ).
fof(dt_k2_rmod_2,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rmod_2(k2_rmod_2(A,B),A,B)
& v3_vectsp_2(k2_rmod_2(A,B),A) ) ),
file('SET007+278.ax',dt_k2_rmod_2) ).
fof(dt_k3_rmod_2,axiom,
! [A,B,C,D] :
( ( m1_rmod_2(D,A,B)
& m1_subset_1(C,u1_struct_0(B))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k3_rmod_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ),
file('SET007+278.ax',dt_k3_rmod_2) ).
fof(t9_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( E = a_4_0_rmod_2(A,B,C,D)
& v1_rmod_2(D,A,B)
& v1_rmod_2(C,A,B) )
=> v1_rmod_2(E,A,B) ) ) ) ) ) ),
file('SET007+278.ax',t9_rmod_2) ).
fof(d5_rmod_2,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> k3_rmod_2(A,B,C,D) = a_4_1_rmod_2(A,B,C,D) ) ) ) ),
file('SET007+278.ax',d5_rmod_2) ).
fof(fraenkel_a_4_0_rmod_2,axiom,
! [A,B,C,D,E] :
( ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C)))
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C)))
& l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_4_0_rmod_2(B,C,D,E))
<=> ? [F,G] :
( r2_hidden(G,E)
& r2_hidden(F,D)
& A = k4_rlvect_1(C,F,G)
& m1_subset_1(G,u1_struct_0(C))
& m1_subset_1(F,u1_struct_0(C)) ) ) ),
file('SET007+278.ax',fraenkel_a_4_0_rmod_2) ).
fof(fraenkel_a_4_1_rmod_2,axiom,
! [A,B,C,D,E] :
( ( m1_rmod_2(E,B,C)
& m1_subset_1(D,u1_struct_0(C))
& l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_4_1_rmod_2(B,C,D,E))
<=> ? [F] :
( r1_rlvect_1(E,F)
& A = k4_rlvect_1(C,D,F)
& m1_subset_1(F,u1_struct_0(C)) ) ) ),
file('SET007+278.ax',fraenkel_a_4_1_rmod_2) ).
fof(fc1_rmod_3,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(k3_rmod_3(A,B)) ),
file('SET007+279.ax',fc1_rmod_3) ).
fof(d2_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( ( m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
=> ( E = k2_rmod_3(A,B,C,D)
<=> u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) ) ) ) ) ) ),
file('SET007+279.ax',d2_rmod_3) ).
fof(t1_rmod_3,axiom,
$true,
file('SET007+279.ax',t1_rmod_3) ).
fof(t2_rmod_3,axiom,
$true,
file('SET007+279.ax',t2_rmod_3) ).
fof(t3_rmod_3,axiom,
$true,
file('SET007+279.ax',t3_rmod_3) ).
fof(t4_rmod_3,axiom,
$true,
file('SET007+279.ax',t4_rmod_3) ).
fof(t5_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( r1_rlvect_1(k1_rmod_3(A,B,C,D),E)
<=> ? [F] :
( ? [G] :
( E = k4_rlvect_1(B,F,G)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,F)
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) ) ) ) ) ) ),
file('SET007+279.ax',t5_rmod_3) ).
fof(t6_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( ( r1_rlvect_1(D,E)
| r1_rlvect_1(C,E) )
=> r1_rlvect_1(k1_rmod_3(A,B,C,D),E) ) ) ) ) ) ),
file('SET007+279.ax',t6_rmod_3) ).
fof(t7_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( r1_rlvect_1(k2_rmod_3(A,B,C,D),E)
<=> ( r1_rlvect_1(D,E)
& r1_rlvect_1(C,E) ) ) ) ) ) ),
file('SET007+279.ax',t7_rmod_3) ).
fof(t8_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> k1_rmod_3(A,B,C,C) = C ) ) ),
file('SET007+279.ax',t8_rmod_3) ).
fof(t9_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> k1_rmod_3(A,B,C,D) = k1_rmod_3(A,B,D,C) ) ) ) ),
file('SET007+279.ax',t9_rmod_3) ).
fof(t10_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> k1_rmod_3(A,B,C,k1_rmod_3(A,B,D,E)) = k1_rmod_3(A,B,k1_rmod_3(A,B,C,D),E) ) ) ) ) ),
file('SET007+279.ax',t10_rmod_3) ).
fof(t11_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( m1_rmod_2(D,A,k1_rmod_3(A,B,C,D))
& m1_rmod_2(C,A,k1_rmod_3(A,B,C,D)) ) ) ) ) ),
file('SET007+279.ax',t11_rmod_3) ).
fof(t12_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( m1_rmod_2(C,A,D)
<=> k1_rmod_3(A,B,C,D) = D ) ) ) ) ),
file('SET007+279.ax',t12_rmod_3) ).
fof(t13_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ( k1_rmod_3(A,B,C,k1_rmod_2(A,B)) = C
& k1_rmod_3(A,B,k1_rmod_2(A,B),C) = C ) ) ) ),
file('SET007+279.ax',t13_rmod_3) ).
fof(t14_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( k1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) = B
& k1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)) = B ) ) ),
file('SET007+279.ax',t14_rmod_3) ).
fof(t15_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ( k1_rmod_3(A,B,C,k2_rmod_2(A,B)) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))
& k1_rmod_3(A,B,k2_rmod_2(A,B),C) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ) ) ),
file('SET007+279.ax',t15_rmod_3) ).
fof(t16_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k1_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B ) ),
file('SET007+279.ax',t16_rmod_3) ).
fof(t17_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> k2_rmod_3(A,B,C,C) = C ) ) ),
file('SET007+279.ax',t17_rmod_3) ).
fof(t18_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> k2_rmod_3(A,B,C,D) = k2_rmod_3(A,B,D,C) ) ) ) ),
file('SET007+279.ax',t18_rmod_3) ).
fof(t19_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> k2_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)) = k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E) ) ) ) ) ),
file('SET007+279.ax',t19_rmod_3) ).
fof(t20_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( m1_rmod_2(k2_rmod_3(A,B,C,D),A,D)
& m1_rmod_2(k2_rmod_3(A,B,C,D),A,C) ) ) ) ) ),
file('SET007+279.ax',t20_rmod_3) ).
fof(t21_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ( ! [D] :
( m1_rmod_2(D,A,B)
=> ( k2_rmod_3(A,B,D,C) = D
=> m1_rmod_2(D,A,C) ) )
& ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( m1_rmod_2(D,A,C)
=> k2_rmod_3(A,B,D,C) = D ) ) ) ) ) ),
file('SET007+279.ax',t21_rmod_3) ).
fof(t22_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( m1_rmod_2(C,A,D)
=> m1_rmod_2(k2_rmod_3(A,B,C,E),A,k2_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('SET007+279.ax',t22_rmod_3) ).
fof(t23_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( m1_rmod_2(C,A,D)
=> m1_rmod_2(k2_rmod_3(A,B,C,E),A,D) ) ) ) ) ) ),
file('SET007+279.ax',t23_rmod_3) ).
fof(t24_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ( m1_rmod_2(C,A,E)
& m1_rmod_2(C,A,D) )
=> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('SET007+279.ax',t24_rmod_3) ).
fof(t25_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ( k2_rmod_3(A,B,C,k1_rmod_2(A,B)) = k1_rmod_2(A,B)
& k2_rmod_3(A,B,k1_rmod_2(A,B),C) = k1_rmod_2(A,B) ) ) ) ),
file('SET007+279.ax',t25_rmod_3) ).
fof(t26_rmod_3,axiom,
$true,
file('SET007+279.ax',t26_rmod_3) ).
fof(t27_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ( k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C
& k2_rmod_3(A,B,k2_rmod_2(A,B),C) = C ) ) ) ),
file('SET007+279.ax',t27_rmod_3) ).
fof(t28_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k2_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B ) ),
file('SET007+279.ax',t28_rmod_3) ).
fof(t29_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> m1_rmod_2(k2_rmod_3(A,B,C,D),A,k1_rmod_3(A,B,C,D)) ) ) ) ),
file('SET007+279.ax',t29_rmod_3) ).
fof(t30_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D) = D ) ) ) ),
file('SET007+279.ax',t30_rmod_3) ).
fof(t31_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> k2_rmod_3(A,B,D,k1_rmod_3(A,B,D,C)) = D ) ) ) ),
file('SET007+279.ax',t31_rmod_3) ).
fof(t32_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> m1_rmod_2(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E))) ) ) ) ) ),
file('SET007+279.ax',t32_rmod_3) ).
fof(t33_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( m1_rmod_2(C,A,D)
=> k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E)) = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('SET007+279.ax',t33_rmod_3) ).
fof(t34_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> m1_rmod_2(k1_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,k1_rmod_3(A,B,D,C),k1_rmod_3(A,B,C,E))) ) ) ) ) ),
file('SET007+279.ax',t34_rmod_3) ).
fof(t35_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( m1_rmod_2(C,A,D)
=> k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E)) = k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('SET007+279.ax',t35_rmod_3) ).
fof(t36_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( ( m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
=> ( m1_rmod_2(E,A,C)
=> k1_rmod_3(A,B,E,k2_rmod_3(A,B,D,C)) = k2_rmod_3(A,B,k1_rmod_3(A,B,E,D),C) ) ) ) ) ) ),
file('SET007+279.ax',t36_rmod_3) ).
fof(t37_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_rmod_2(C,A,B)
& v3_vectsp_2(C,A) )
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( k1_rmod_3(A,B,C,D) = D
<=> k2_rmod_3(A,B,C,D) = C ) ) ) ) ),
file('SET007+279.ax',t37_rmod_3) ).
fof(t38_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ! [E] :
( ( m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
=> ( m1_rmod_2(C,A,D)
=> m1_rmod_2(k1_rmod_3(A,B,C,E),A,k1_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('SET007+279.ax',t38_rmod_3) ).
fof(t39_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( m1_rmod_2(C,A,D)
=> m1_rmod_2(C,A,k1_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('SET007+279.ax',t39_rmod_3) ).
fof(t40_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ( m1_rmod_2(E,A,D)
& m1_rmod_2(C,A,D) )
=> m1_rmod_2(k1_rmod_3(A,B,C,E),A,D) ) ) ) ) ) ),
file('SET007+279.ax',t40_rmod_3) ).
fof(t41_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( ~ ( ! [E] :
( m1_rmod_2(E,A,B)
=> u1_struct_0(E) != k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) )
& ( m1_rmod_2(D,A,C)
| m1_rmod_2(C,A,D) ) )
& ~ ( ~ m1_rmod_2(D,A,C)
& ~ m1_rmod_2(C,A,D)
& ? [E] :
( u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D))
& m1_rmod_2(E,A,B) ) ) ) ) ) ) ),
file('SET007+279.ax',t41_rmod_3) ).
fof(d3_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( C = k3_rmod_3(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ? [E] :
( E = D
& m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) ) ) ) ) ),
file('SET007+279.ax',d3_rmod_3) ).
fof(t42_rmod_3,axiom,
$true,
file('SET007+279.ax',t42_rmod_3) ).
fof(t43_rmod_3,axiom,
$true,
file('SET007+279.ax',t43_rmod_3) ).
fof(t44_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> r2_hidden(B,k3_rmod_3(A,B)) ) ),
file('SET007+279.ax',t44_rmod_3) ).
fof(d4_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_rmod_3(A,B,C,D)
<=> ( k2_rmod_3(A,B,C,D) = k1_rmod_2(A,B)
& g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,D) ) ) ) ) ) ),
file('SET007+279.ax',d4_rmod_3) ).
fof(t45_rmod_3,axiom,
$true,
file('SET007+279.ax',t45_rmod_3) ).
fof(t46_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_rmod_3(A,B,C,D)
=> r1_rmod_3(A,B,D,C) ) ) ) ) ),
file('SET007+279.ax',t46_rmod_3) ).
fof(t47_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B))
& r1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)) ) ) ),
file('SET007+279.ax',t47_rmod_3) ).
fof(t48_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m2_rmod_2(E,A,B,C)
=> ! [F] :
( m2_rmod_2(F,A,B,D)
=> ( ~ r1_xboole_0(E,F)
=> m2_rmod_2(k5_subset_1(u1_struct_0(B),E,F),A,B,k2_rmod_3(A,B,C,D)) ) ) ) ) ) ) ),
file('SET007+279.ax',t48_rmod_3) ).
fof(t49_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( r1_rmod_3(A,B,C,D)
<=> ! [E] :
( m2_rmod_2(E,A,B,C)
=> ! [F] :
( m2_rmod_2(F,A,B,D)
=> ? [G] :
( k5_subset_1(u1_struct_0(B),E,F) = k6_domain_1(u1_struct_0(B),G)
& m1_subset_1(G,u1_struct_0(B)) ) ) ) ) ) ) ) ),
file('SET007+279.ax',t49_rmod_3) ).
fof(t50_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( k1_rmod_3(A,B,C,D) = B
<=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ? [F] :
( ? [G] :
( E = k4_rlvect_1(B,F,G)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,F)
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) ) ) ) ) ) ) ),
file('SET007+279.ax',t50_rmod_3) ).
fof(t51_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ! [H] :
( m1_subset_1(H,u1_struct_0(B))
=> ! [I] :
( m1_subset_1(I,u1_struct_0(B))
=> ( ( r1_rlvect_1(D,I)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,H)
& r1_rlvect_1(C,F)
& E = k4_rlvect_1(B,H,I)
& E = k4_rlvect_1(B,F,G)
& r1_rmod_3(A,B,C,D) )
=> ( G = I
& F = H ) ) ) ) ) ) ) ) ) ) ),
file('SET007+279.ax',t51_rmod_3) ).
fof(t52_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ( B = k1_rmod_3(A,B,C,D)
=> ( r1_rmod_3(A,B,C,D)
| ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ? [F] :
( ? [G] :
( ? [H] :
( ? [I] :
( ~ ( G = I
& F = H )
& r1_rlvect_1(D,I)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,H)
& r1_rlvect_1(C,F)
& E = k4_rlvect_1(B,H,I)
& E = k4_rlvect_1(B,F,G)
& m1_subset_1(I,u1_struct_0(B)) )
& m1_subset_1(H,u1_struct_0(B)) )
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) ) ) ) ) ) ) ) ),
file('SET007+279.ax',t52_rmod_3) ).
fof(d5_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( r1_rmod_3(A,B,D,E)
=> ! [F] :
( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
=> ( F = k4_rmod_3(A,B,C,D,E)
<=> ( r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F))
& r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F))
& C = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) ) ) ) ) ) ) ) ) ),
file('SET007+279.ax',d5_rmod_3) ).
fof(t53_rmod_3,axiom,
$true,
file('SET007+279.ax',t53_rmod_3) ).
fof(t54_rmod_3,axiom,
$true,
file('SET007+279.ax',t54_rmod_3) ).
fof(t55_rmod_3,axiom,
$true,
file('SET007+279.ax',t55_rmod_3) ).
fof(t56_rmod_3,axiom,
$true,
file('SET007+279.ax',t56_rmod_3) ).
fof(t57_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( r1_rmod_3(A,B,C,D)
=> k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C)) ) ) ) ) ) ),
file('SET007+279.ax',t57_rmod_3) ).
fof(t58_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( r1_rmod_3(A,B,C,D)
=> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C)) ) ) ) ) ) ),
file('SET007+279.ax',t58_rmod_3) ).
fof(d6_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_1(C) )
=> ( C = k5_rmod_3(A,B)
<=> ! [D] :
( m1_subset_1(D,k3_rmod_3(A,B))
=> ! [E] :
( m1_subset_1(E,k3_rmod_3(A,B))
=> ! [F] :
( m1_rmod_2(F,A,B)
=> ! [G] :
( m1_rmod_2(G,A,B)
=> ( ( E = G
& D = F )
=> k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k1_rmod_3(A,B,F,G) ) ) ) ) ) ) ) ) ),
file('SET007+279.ax',d6_rmod_3) ).
fof(d7_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_1(C) )
=> ( C = k6_rmod_3(A,B)
<=> ! [D] :
( m1_subset_1(D,k3_rmod_3(A,B))
=> ! [E] :
( m1_subset_1(E,k3_rmod_3(A,B))
=> ! [F] :
( m1_rmod_2(F,A,B)
=> ! [G] :
( m1_rmod_2(G,A,B)
=> ( ( E = G
& D = F )
=> k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k2_rmod_3(A,B,F,G) ) ) ) ) ) ) ) ) ),
file('SET007+279.ax',d7_rmod_3) ).
fof(t59_rmod_3,axiom,
$true,
file('SET007+279.ax',t59_rmod_3) ).
fof(t60_rmod_3,axiom,
$true,
file('SET007+279.ax',t60_rmod_3) ).
fof(t61_rmod_3,axiom,
$true,
file('SET007+279.ax',t61_rmod_3) ).
fof(t62_rmod_3,axiom,
$true,
file('SET007+279.ax',t62_rmod_3) ).
fof(t63_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) ) ) ),
file('SET007+279.ax',t63_rmod_3) ).
fof(t64_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v13_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) ) ) ),
file('SET007+279.ax',t64_rmod_3) ).
fof(t65_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v14_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) ) ) ),
file('SET007+279.ax',t65_rmod_3) ).
fof(t66_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v15_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) ) ) ),
file('SET007+279.ax',t66_rmod_3) ).
fof(t67_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v12_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) ) ) ),
file('SET007+279.ax',t67_rmod_3) ).
fof(dt_k1_rmod_3,axiom,
! [A,B,C,D] :
( ( m1_rmod_2(D,A,B)
& m1_rmod_2(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rmod_2(k1_rmod_3(A,B,C,D),A,B)
& v3_vectsp_2(k1_rmod_3(A,B,C,D),A) ) ),
file('SET007+279.ax',dt_k1_rmod_3) ).
fof(dt_k2_rmod_3,axiom,
! [A,B,C,D] :
( ( m1_rmod_2(D,A,B)
& m1_rmod_2(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rmod_2(k2_rmod_3(A,B,C,D),A,B)
& v3_vectsp_2(k2_rmod_3(A,B,C,D),A) ) ),
file('SET007+279.ax',dt_k2_rmod_3) ).
fof(dt_k3_rmod_3,axiom,
$true,
file('SET007+279.ax',dt_k3_rmod_3) ).
fof(dt_k4_rmod_3,axiom,
! [A,B,C,D,E] :
( ( m1_rmod_2(E,A,B)
& m1_rmod_2(D,A,B)
& m1_subset_1(C,u1_struct_0(B))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k4_rmod_3(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) ),
file('SET007+279.ax',dt_k4_rmod_3) ).
fof(dt_k5_rmod_3,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_2(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_1(k5_rmod_3(A,B)) ) ),
file('SET007+279.ax',dt_k5_rmod_3) ).
fof(dt_k6_rmod_3,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_2(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_1(k6_rmod_3(A,B)) ) ),
file('SET007+279.ax',dt_k6_rmod_3) ).
fof(d1_rmod_3,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( ( m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
=> ( E = k1_rmod_3(A,B,C,D)
<=> u1_struct_0(E) = a_4_0_rmod_3(A,B,C,D) ) ) ) ) ) ),
file('SET007+279.ax',d1_rmod_3) ).
fof(fraenkel_a_4_0_rmod_3,axiom,
! [A,B,C,D,E] :
( ( m1_rmod_2(E,B,C)
& m1_rmod_2(D,B,C)
& l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_4_0_rmod_3(B,C,D,E))
<=> ? [F,G] :
( r1_rlvect_1(E,G)
& r1_rlvect_1(D,F)
& A = k4_rlvect_1(C,F,G)
& m1_subset_1(G,u1_struct_0(C))
& m1_subset_1(F,u1_struct_0(C)) ) ) ),
file('SET007+279.ax',fraenkel_a_4_0_rmod_3) ).
fof(t1_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(B))
=> ! [E] :
( m2_finseq_1(E,u1_struct_0(B))
=> ( ( ! [F] :
( m2_subset_1(F,k1_numbers,k5_numbers)
=> ! [G] :
( m1_subset_1(G,u1_struct_0(B))
=> ( ( G = k1_funct_1(E,F)
& r2_hidden(F,k1_relat_1(D)) )
=> k1_funct_1(D,F) = k6_vectsp_2(A,B,C,G) ) ) )
& k3_finseq_1(D) = k3_finseq_1(E) )
=> k9_rlvect_1(B,D) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,E)) ) ) ) ) ) ),
file('SET007+280.ax',t1_rmod_4) ).
fof(t2_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k6_finseq_1(u1_struct_0(B)))) = k1_rlvect_1(B) ) ) ),
file('SET007+280.ax',t2_rmod_4) ).
fof(t3_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k2_finseq_4(u1_struct_0(B),D,E))) = k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)) ) ) ) ) ),
file('SET007+280.ax',t3_rmod_4) ).
fof(t4_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k3_finseq_4(u1_struct_0(B),D,E,F))) = k4_rlvect_1(B,k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)),k6_vectsp_2(A,B,C,F)) ) ) ) ) ) ),
file('SET007+280.ax',t4_rmod_4) ).
fof(d1_rmod_4,axiom,
$true,
file('SET007+280.ax',d1_rmod_4) ).
fof(d2_rmod_4,axiom,
$true,
file('SET007+280.ax',d2_rmod_4) ).
fof(d3_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( D = k1_rmod_4(A,B,C)
<=> ? [E] :
( D = k9_rlvect_1(B,E)
& v2_funct_1(E)
& k2_relat_1(E) = C
& m2_finseq_1(E,u1_struct_0(B)) ) ) ) ) ) ),
file('SET007+280.ax',d3_rmod_4) ).
fof(t5_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k1_rmod_4(A,B,k1_pre_topc(B)) = k1_rlvect_1(B) ) ),
file('SET007+280.ax',t5_rmod_4) ).
fof(t6_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k1_rmod_4(A,B,k7_rlvect_2(B,C)) = C ) ) ),
file('SET007+280.ax',t6_rmod_4) ).
fof(t7_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C != D
=> k1_rmod_4(A,B,k8_rlvect_2(B,C,D)) = k4_rlvect_1(B,C,D) ) ) ) ) ),
file('SET007+280.ax',t7_rmod_4) ).
fof(t8_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ~ ( k1_rmod_4(A,B,k9_rlvect_2(B,C,D,E)) != k4_rlvect_1(B,k4_rlvect_1(B,C,D),E)
& C != E
& D != E
& C != D ) ) ) ) ) ),
file('SET007+280.ax',t8_rmod_4) ).
fof(t9_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> ( r1_xboole_0(C,D)
=> k1_rmod_4(A,B,k2_rlvect_2(B,C,D)) = k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)) ) ) ) ) ),
file('SET007+280.ax',t9_rmod_4) ).
fof(t10_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> k1_rmod_4(A,B,k2_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))) ) ) ) ),
file('SET007+280.ax',t10_rmod_4) ).
fof(t11_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> k1_rmod_4(A,B,k3_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k2_rlvect_2(B,C,D))) ) ) ) ),
file('SET007+280.ax',t11_rmod_4) ).
fof(t12_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> k1_rmod_4(A,B,k4_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,D)) ) ) ) ),
file('SET007+280.ax',t12_rmod_4) ).
fof(t13_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> k1_rmod_4(A,B,k4_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))) ) ) ) ),
file('SET007+280.ax',t13_rmod_4) ).
fof(t14_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))) ) ) ) ),
file('SET007+280.ax',t14_rmod_4) ).
fof(t15_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C) )
=> ! [D] :
( ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
=> k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k4_rlvect_1(B,k1_rmod_4(A,B,k4_rlvect_2(B,C,D)),k1_rmod_4(A,B,k4_rlvect_2(B,D,C))) ) ) ) ),
file('SET007+280.ax',t15_rmod_4) ).
fof(d4_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A)))
=> ( m1_rmod_4(C,A,B)
<=> ? [D] :
( ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( ~ r2_hidden(E,D)
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k1_rlvect_1(A) ) )
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) ) ) ) ) ),
file('SET007+280.ax',d4_rmod_4) ).
fof(t16_rmod_4,axiom,
$true,
file('SET007+280.ax',t16_rmod_4) ).
fof(t17_rmod_4,axiom,
$true,
file('SET007+280.ax',t17_rmod_4) ).
fof(t18_rmod_4,axiom,
$true,
file('SET007+280.ax',t18_rmod_4) ).
fof(t19_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C,D] :
( m1_rmod_4(D,A,B)
=> ( r2_hidden(C,k2_rmod_4(A,B,D))
<=> ? [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) != k1_rlvect_1(A)
& C = E
& m1_subset_1(E,u1_struct_0(B)) ) ) ) ) ),
file('SET007+280.ax',t19_rmod_4) ).
fof(t20_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k1_rlvect_1(A)
<=> ~ r2_hidden(C,k2_rmod_4(A,B,D)) ) ) ) ) ),
file('SET007+280.ax',t20_rmod_4) ).
fof(d6_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ( C = k3_rmod_4(A,B)
<=> k2_rmod_4(A,B,C) = k1_xboole_0 ) ) ) ),
file('SET007+280.ax',d6_rmod_4) ).
fof(t21_rmod_4,axiom,
$true,
file('SET007+280.ax',t21_rmod_4) ).
fof(t22_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k3_rmod_4(A,B),C) = k1_rlvect_1(A) ) ) ),
file('SET007+280.ax',t22_rmod_4) ).
fof(d7_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( m2_rmod_4(D,A,B,C)
<=> r1_tarski(k2_rmod_4(A,B,D),C) ) ) ) ) ),
file('SET007+280.ax',d7_rmod_4) ).
fof(t23_rmod_4,axiom,
$true,
file('SET007+280.ax',t23_rmod_4) ).
fof(t24_rmod_4,axiom,
$true,
file('SET007+280.ax',t24_rmod_4) ).
fof(t25_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ! [E] :
( m2_rmod_4(E,A,B,C)
=> ( r1_tarski(C,D)
=> m2_rmod_4(E,A,B,D) ) ) ) ) ) ),
file('SET007+280.ax',t25_rmod_4) ).
fof(t26_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> m2_rmod_4(k3_rmod_4(A,B),A,B,C) ) ) ),
file('SET007+280.ax',t26_rmod_4) ).
fof(t27_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B)))
=> C = k3_rmod_4(A,B) ) ) ),
file('SET007+280.ax',t27_rmod_4) ).
fof(t28_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> m2_rmod_4(C,A,B,k2_rmod_4(A,B,C)) ) ) ),
file('SET007+280.ax',t28_rmod_4) ).
fof(d8_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(B))
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D) )
=> ! [E] :
( m2_finseq_1(E,u1_struct_0(B))
=> ( E = k4_rmod_4(A,B,C,D)
<=> ( ! [F] :
( m2_subset_1(F,k1_numbers,k5_numbers)
=> ( r2_hidden(F,k1_relat_1(E))
=> k1_funct_1(E,F) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)),k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)) ) )
& k3_finseq_1(E) = k3_finseq_1(C) ) ) ) ) ) ) ),
file('SET007+280.ax',d8_rmod_4) ).
fof(t29_rmod_4,axiom,
$true,
file('SET007+280.ax',t29_rmod_4) ).
fof(t30_rmod_4,axiom,
$true,
file('SET007+280.ax',t30_rmod_4) ).
fof(t31_rmod_4,axiom,
$true,
file('SET007+280.ax',t31_rmod_4) ).
fof(t32_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m2_finseq_1(E,u1_struct_0(B))
=> ! [F] :
( ( m2_relset_1(F,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(F,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(F) )
=> ( ( D = k1_funct_1(E,C)
& r2_hidden(C,k1_relat_1(E)) )
=> k1_funct_1(k4_rmod_4(A,B,E,F),C) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D) ) ) ) ) ) ) ),
file('SET007+280.ax',t32_rmod_4) ).
fof(t33_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(C) )
=> k4_rmod_4(A,B,k6_finseq_1(u1_struct_0(B)),C) = k6_finseq_1(u1_struct_0(B)) ) ) ),
file('SET007+280.ax',t33_rmod_4) ).
fof(t34_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D) )
=> k4_rmod_4(A,B,k12_finseq_1(u1_struct_0(B),C),D) = k12_finseq_1(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)) ) ) ) ),
file('SET007+280.ax',t34_rmod_4) ).
fof(t35_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(E) )
=> k4_rmod_4(A,B,k2_finseq_4(u1_struct_0(B),C,D),E) = k2_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) ) ) ) ) ),
file('SET007+280.ax',t35_rmod_4) ).
fof(t36_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( ( m2_relset_1(F,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(F,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(F) )
=> k4_rmod_4(A,B,k3_finseq_4(u1_struct_0(B),C,D,E),F) = k3_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,E),E)) ) ) ) ) ) ),
file('SET007+280.ax',t36_rmod_4) ).
fof(t37_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_finseq_1(C,u1_struct_0(B))
=> ! [D] :
( m2_finseq_1(D,u1_struct_0(B))
=> ! [E] :
( ( m2_relset_1(E,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(E) )
=> k4_rmod_4(A,B,k8_finseq_1(u1_struct_0(B),C,D),E) = k8_finseq_1(u1_struct_0(B),k4_rmod_4(A,B,C,E),k4_rmod_4(A,B,D,E)) ) ) ) ) ),
file('SET007+280.ax',t37_rmod_4) ).
fof(d9_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( D = k5_rmod_4(A,B,C)
<=> ? [E] :
( D = k9_rlvect_1(B,k4_rmod_4(A,B,E,C))
& k2_relat_1(E) = k2_rmod_4(A,B,C)
& v2_funct_1(E)
& m2_finseq_1(E,u1_struct_0(B)) ) ) ) ) ) ),
file('SET007+280.ax',d9_rmod_4) ).
fof(t38_rmod_4,axiom,
$true,
file('SET007+280.ax',t38_rmod_4) ).
fof(t39_rmod_4,axiom,
$true,
file('SET007+280.ax',t39_rmod_4) ).
fof(t40_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( k1_rlvect_1(A) != k2_group_1(A)
=> ( ( v1_rmod_2(C,A,B)
& C != k1_xboole_0 )
<=> ! [D] :
( m2_rmod_4(D,A,B,C)
=> r2_hidden(k5_rmod_4(A,B,D),C) ) ) ) ) ) ),
file('SET007+280.ax',t40_rmod_4) ).
fof(t41_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k5_rmod_4(A,B,k3_rmod_4(A,B)) = k1_rlvect_1(B) ) ),
file('SET007+280.ax',t41_rmod_4) ).
fof(t42_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B)))
=> k5_rmod_4(A,B,C) = k1_rlvect_1(B) ) ) ),
file('SET007+280.ax',t42_rmod_4) ).
fof(t43_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m2_rmod_4(D,A,B,k7_rlvect_2(B,C))
=> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C) ) ) ) ),
file('SET007+280.ax',t43_rmod_4) ).
fof(t44_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C != D
=> ! [E] :
( m2_rmod_4(E,A,B,k8_rlvect_2(B,C,D))
=> k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) ) ) ) ) ) ),
file('SET007+280.ax',t44_rmod_4) ).
fof(t45_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ( k2_rmod_4(A,B,C) = k1_xboole_0
=> k5_rmod_4(A,B,C) = k1_rlvect_1(B) ) ) ) ),
file('SET007+280.ax',t45_rmod_4) ).
fof(t46_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( k2_rmod_4(A,B,D) = k7_rlvect_2(B,C)
=> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C) ) ) ) ) ),
file('SET007+280.ax',t46_rmod_4) ).
fof(t47_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( m1_rmod_4(E,A,B)
=> ( k2_rmod_4(A,B,E) = k8_rlvect_2(B,C,D)
=> ( k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D))
| C = D ) ) ) ) ) ) ),
file('SET007+280.ax',t47_rmod_4) ).
fof(d10_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( r1_rmod_4(A,B,C,D)
<=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) ) ) ) ) ) ),
file('SET007+280.ax',d10_rmod_4) ).
fof(d11_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> ( E = k6_rmod_4(A,B,C,D)
<=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k4_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) ) ) ) ) ) ) ),
file('SET007+280.ax',d11_rmod_4) ).
fof(t48_rmod_4,axiom,
$true,
file('SET007+280.ax',t48_rmod_4) ).
fof(t49_rmod_4,axiom,
$true,
file('SET007+280.ax',t49_rmod_4) ).
fof(t50_rmod_4,axiom,
$true,
file('SET007+280.ax',t50_rmod_4) ).
fof(t51_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> r1_tarski(k2_rmod_4(A,B,k6_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D))) ) ) ) ),
file('SET007+280.ax',t51_rmod_4) ).
fof(t52_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> ( ( m2_rmod_4(E,A,B,C)
& m2_rmod_4(D,A,B,C) )
=> m2_rmod_4(k6_rmod_4(A,B,D,E),A,B,C) ) ) ) ) ) ),
file('SET007+280.ax',t52_rmod_4) ).
fof(t53_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k6_rmod_4(A,B,D,C)) ) ) ) ),
file('SET007+280.ax',t53_rmod_4) ).
fof(t54_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> r1_rmod_4(A,B,k6_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k6_rmod_4(A,B,C,D),E)) ) ) ) ) ),
file('SET007+280.ax',t54_rmod_4) ).
fof(t55_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ( r1_rmod_4(A,B,k6_rmod_4(A,B,k3_rmod_4(A,B),C),C)
& r1_rmod_4(A,B,k6_rmod_4(A,B,C,k3_rmod_4(A,B)),C) ) ) ) ),
file('SET007+280.ax',t55_rmod_4) ).
fof(d12_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> ( E = k7_rmod_4(A,B,C,D)
<=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C) ) ) ) ) ) ) ),
file('SET007+280.ax',d12_rmod_4) ).
fof(t56_rmod_4,axiom,
$true,
file('SET007+280.ax',t56_rmod_4) ).
fof(t57_rmod_4,axiom,
$true,
file('SET007+280.ax',t57_rmod_4) ).
fof(t58_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> r1_tarski(k2_rmod_4(A,B,k7_rmod_4(A,B,C,D)),k2_rmod_4(A,B,D)) ) ) ) ),
file('SET007+280.ax',t58_rmod_4) ).
fof(t59_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( D != k1_rlvect_1(A)
=> k2_rmod_4(A,B,k7_rmod_4(A,B,D,C)) = k2_rmod_4(A,B,C) ) ) ) ) ),
file('SET007+280.ax',t59_rmod_4) ).
fof(t60_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> r1_rmod_4(A,B,k7_rmod_4(A,B,k1_rlvect_1(A),C),k3_rmod_4(A,B)) ) ) ),
file('SET007+280.ax',t60_rmod_4) ).
fof(t61_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ! [E] :
( m1_rmod_4(E,A,B)
=> ( m2_rmod_4(E,A,B,D)
=> m2_rmod_4(k7_rmod_4(A,B,C,E),A,B,D) ) ) ) ) ) ),
file('SET007+280.ax',t61_rmod_4) ).
fof(t62_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_rmod_4(E,A,B)
=> r1_rmod_4(A,B,k7_rmod_4(A,B,k4_rlvect_1(A,C,D),E),k6_rmod_4(A,B,k7_rmod_4(A,B,C,E),k7_rmod_4(A,B,D,E))) ) ) ) ) ),
file('SET007+280.ax',t62_rmod_4) ).
fof(t63_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> r1_rmod_4(A,B,k7_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k7_rmod_4(A,B,C,D),k7_rmod_4(A,B,C,E))) ) ) ) ) ),
file('SET007+280.ax',t63_rmod_4) ).
fof(t64_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_rmod_4(E,A,B)
=> r1_rmod_4(A,B,k7_rmod_4(A,B,D,k7_rmod_4(A,B,C,E)),k7_rmod_4(A,B,k1_group_1(A,C,D),E)) ) ) ) ) ),
file('SET007+280.ax',t64_rmod_4) ).
fof(t65_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> r1_rmod_4(A,B,k7_rmod_4(A,B,k2_group_1(A),C),C) ) ) ),
file('SET007+280.ax',t65_rmod_4) ).
fof(d13_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> k8_rmod_4(A,B,C) = k7_rmod_4(A,B,k5_rlvect_1(A,k2_group_1(A)),C) ) ) ),
file('SET007+280.ax',d13_rmod_4) ).
fof(t66_rmod_4,axiom,
$true,
file('SET007+280.ax',t66_rmod_4) ).
fof(t67_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k8_rmod_4(A,B,D),C) = k5_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C)) ) ) ) ),
file('SET007+280.ax',t67_rmod_4) ).
fof(t68_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k3_rmod_4(A,B))
=> r1_rmod_4(A,B,D,k8_rmod_4(A,B,C)) ) ) ) ) ),
file('SET007+280.ax',t68_rmod_4) ).
fof(t69_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> k2_rmod_4(A,B,k8_rmod_4(A,B,C)) = k2_rmod_4(A,B,C) ) ) ),
file('SET007+280.ax',t69_rmod_4) ).
fof(t70_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( m2_rmod_4(D,A,B,C)
=> m2_rmod_4(k8_rmod_4(A,B,D),A,B,C) ) ) ) ) ),
file('SET007+280.ax',t70_rmod_4) ).
fof(d14_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> k9_rmod_4(A,B,C,D) = k6_rmod_4(A,B,C,k8_rmod_4(A,B,D)) ) ) ) ),
file('SET007+280.ax',d14_rmod_4) ).
fof(t71_rmod_4,axiom,
$true,
file('SET007+280.ax',t71_rmod_4) ).
fof(t72_rmod_4,axiom,
$true,
file('SET007+280.ax',t72_rmod_4) ).
fof(t73_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k9_rmod_4(A,B,D,E),C) = k6_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C)) ) ) ) ) ),
file('SET007+280.ax',t73_rmod_4) ).
fof(t74_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> r1_tarski(k2_rmod_4(A,B,k9_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D))) ) ) ) ),
file('SET007+280.ax',t74_rmod_4) ).
fof(t75_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ! [E] :
( m1_rmod_4(E,A,B)
=> ( ( m2_rmod_4(E,A,B,C)
& m2_rmod_4(D,A,B,C) )
=> m2_rmod_4(k9_rmod_4(A,B,D,E),A,B,C) ) ) ) ) ) ),
file('SET007+280.ax',t75_rmod_4) ).
fof(t76_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> r1_rmod_4(A,B,k9_rmod_4(A,B,C,C),k3_rmod_4(A,B)) ) ) ),
file('SET007+280.ax',t76_rmod_4) ).
fof(t77_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> k5_rmod_4(A,B,k6_rmod_4(A,B,C,D)) = k4_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)) ) ) ) ),
file('SET007+280.ax',t77_rmod_4) ).
fof(t78_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k5_rmod_4(A,B,k7_rmod_4(A,B,D,C)) = k6_vectsp_2(A,B,D,k5_rmod_4(A,B,C)) ) ) ) ),
file('SET007+280.ax',t78_rmod_4) ).
fof(t79_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> k5_rmod_4(A,B,k8_rmod_4(A,B,C)) = k5_rlvect_1(B,k5_rmod_4(A,B,C)) ) ) ),
file('SET007+280.ax',t79_rmod_4) ).
fof(t80_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> ! [D] :
( m1_rmod_4(D,A,B)
=> k5_rmod_4(A,B,k9_rmod_4(A,B,C,D)) = k6_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)) ) ) ) ),
file('SET007+280.ax',t80_rmod_4) ).
fof(dt_m1_rmod_4,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))) ) ),
file('SET007+280.ax',dt_m1_rmod_4) ).
fof(existence_m1_rmod_4,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [C] : m1_rmod_4(C,A,B) ),
file('SET007+280.ax',existence_m1_rmod_4) ).
fof(dt_m2_rmod_4,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [D] :
( m2_rmod_4(D,A,B,C)
=> m1_rmod_4(D,A,B) ) ),
file('SET007+280.ax',dt_m2_rmod_4) ).
fof(existence_m2_rmod_4,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ? [D] : m2_rmod_4(D,A,B,C) ),
file('SET007+280.ax',existence_m2_rmod_4) ).
fof(symmetry_r1_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,A,B)
& m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( r1_rmod_4(A,B,C,D)
=> r1_rmod_4(A,B,D,C) ) ),
file('SET007+280.ax',symmetry_r1_rmod_4) ).
fof(reflexivity_r1_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,A,B)
& m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> r1_rmod_4(A,B,C,C) ),
file('SET007+280.ax',reflexivity_r1_rmod_4) ).
fof(redefinition_r1_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,A,B)
& m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( r1_rmod_4(A,B,C,D)
<=> C = D ) ),
file('SET007+280.ax',redefinition_r1_rmod_4) ).
fof(dt_k1_rmod_4,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(C)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_rmod_4(A,B,C),u1_struct_0(B)) ),
file('SET007+280.ax',dt_k1_rmod_4) ).
fof(dt_k2_rmod_4,axiom,
! [A,B,C] :
( ( m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(k2_rmod_4(A,B,C)) ) ),
file('SET007+280.ax',dt_k2_rmod_4) ).
fof(dt_k3_rmod_4,axiom,
! [A,B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rmod_4(k3_rmod_4(A,B),A,B) ),
file('SET007+280.ax',dt_k3_rmod_4) ).
fof(dt_k4_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D)
& m1_finseq_1(C,u1_struct_0(B))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m2_finseq_1(k4_rmod_4(A,B,C,D),u1_struct_0(B)) ),
file('SET007+280.ax',dt_k4_rmod_4) ).
fof(dt_k5_rmod_4,axiom,
! [A,B,C] :
( ( m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)) ),
file('SET007+280.ax',dt_k5_rmod_4) ).
fof(dt_k6_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,A,B)
& m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rmod_4(k6_rmod_4(A,B,C,D),A,B) ),
file('SET007+280.ax',dt_k6_rmod_4) ).
fof(dt_k7_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,A,B)
& m1_subset_1(C,u1_struct_0(A))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rmod_4(k7_rmod_4(A,B,C,D),A,B) ),
file('SET007+280.ax',dt_k7_rmod_4) ).
fof(dt_k8_rmod_4,axiom,
! [A,B,C] :
( ( m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rmod_4(k8_rmod_4(A,B,C),A,B) ),
file('SET007+280.ax',dt_k8_rmod_4) ).
fof(involutiveness_k8_rmod_4,axiom,
! [A,B,C] :
( ( m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> k8_rmod_4(A,B,k8_rmod_4(A,B,C)) = C ),
file('SET007+280.ax',involutiveness_k8_rmod_4) ).
fof(dt_k9_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,A,B)
& m1_rmod_4(C,A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> m1_rmod_4(k9_rmod_4(A,B,C,D),A,B) ),
file('SET007+280.ax',dt_k9_rmod_4) ).
fof(d5_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_rmod_4(C,A,B)
=> k2_rmod_4(A,B,C) = a_3_0_rmod_4(A,B,C) ) ) ),
file('SET007+280.ax',d5_rmod_4) ).
fof(fraenkel_a_3_0_rmod_4,axiom,
! [A,B,C,D] :
( ( m1_rmod_4(D,B,C)
& l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l3_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_3_0_rmod_4(B,C,D))
<=> ? [E] :
( k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k1_rlvect_1(B)
& A = E
& m1_subset_1(E,u1_struct_0(C)) ) ) ),
file('SET007+280.ax',fraenkel_a_3_0_rmod_4) ).
fof(dt_k1_rmod_5,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ( m1_rmod_2(k1_rmod_5(A,B,C),A,B)
& v3_vectsp_2(k1_rmod_5(A,B,C),A) ) ),
file('theBenchmark.p',dt_k1_rmod_5) ).
fof(d1_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( v1_rmod_5(C,A,B)
<=> ! [D] :
( m2_rmod_4(D,A,B,C)
=> ( k5_rmod_4(A,B,D) = k1_rlvect_1(B)
=> k2_rmod_4(A,B,D) = k1_xboole_0 ) ) ) ) ) ),
file('theBenchmark.p',d1_rmod_5) ).
fof(t1_rmod_5,axiom,
$true,
file('theBenchmark.p',t1_rmod_5) ).
fof(t2_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( v1_rmod_5(D,A,B)
& r1_tarski(C,D) )
=> v1_rmod_5(C,A,B) ) ) ) ) ),
file('theBenchmark.p',t2_rmod_5) ).
fof(t3_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ~ ( r2_hidden(k1_rlvect_1(B),C)
& v1_rmod_5(C,A,B)
& k1_rlvect_1(A) != k2_group_1(A) ) ) ) ),
file('theBenchmark.p',t3_rmod_5) ).
fof(t4_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B) ) ),
file('theBenchmark.p',t4_rmod_5) ).
fof(t5_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
=> ( ( D != k1_rlvect_1(B)
& C != k1_rlvect_1(B) )
| k1_rlvect_1(A) = k2_group_1(A) ) ) ) ) ) ),
file('theBenchmark.p',t5_rmod_5) ).
fof(t6_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k1_rlvect_1(A) != k2_group_1(A)
=> ( ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)
& ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) ) ) ) ) ),
file('theBenchmark.p',t6_rmod_5) ).
fof(d2_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( D = k1_rmod_5(A,B,C)
<=> u1_struct_0(D) = a_3_0_rmod_5(A,B,C) ) ) ) ) ),
file('theBenchmark.p',d2_rmod_5) ).
fof(t7_rmod_5,axiom,
$true,
file('theBenchmark.p',t7_rmod_5) ).
fof(t8_rmod_5,axiom,
$true,
file('theBenchmark.p',t8_rmod_5) ).
fof(t9_rmod_5,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v2_vectsp_2(B)
& ~ v10_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v7_group_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C)))
=> ( r1_rlvect_1(k1_rmod_5(B,C,D),A)
<=> ? [E] :
( A = k5_rmod_4(B,C,E)
& m2_rmod_4(E,B,C,D) ) ) ) ) ),
file('theBenchmark.p',t9_rmod_5) ).
fof(t10_rmod_5,axiom,
! [A,B] :
( ( l3_vectsp_1(B)
& v2_vectsp_2(B)
& ~ v10_vectsp_1(B)
& v8_vectsp_1(B)
& v7_vectsp_1(B)
& v6_vectsp_1(B)
& v7_group_1(B)
& v4_group_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( l1_vectsp_2(C,B)
& v5_vectsp_2(C,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C)))
=> ( r2_hidden(A,D)
=> r1_rlvect_1(k1_rmod_5(B,C,D),A) ) ) ) ),
file('theBenchmark.p',t10_rmod_5) ).
fof(t11_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> k1_rmod_5(A,B,k1_subset_1(u1_struct_0(B))) = k1_rmod_2(A,B) ) ),
file('theBenchmark.p',t11_rmod_5) ).
fof(t12_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ~ ( C != k7_rlvect_2(B,k1_rlvect_1(B))
& C != k1_xboole_0
& k1_rmod_5(A,B,C) = k1_rmod_2(A,B) ) ) ) ),
file('theBenchmark.p',t12_rmod_5) ).
fof(t13_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( ( m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
=> ( C = u1_struct_0(D)
=> ( k1_rmod_5(A,B,C) = D
| k1_rlvect_1(A) = k2_group_1(A) ) ) ) ) ) ),
file('theBenchmark.p',t13_rmod_5) ).
fof(t14_rmod_5,conjecture,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( C = u1_struct_0(B)
=> ( k1_rmod_5(A,B,C) = B
| k1_rlvect_1(A) = k2_group_1(A) ) ) ) ) ),
file('theBenchmark.p',t14_rmod_5) ).
fof(f_1_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ~ r2_hidden(U_0,U_1)
| ~ r2_hidden(U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1,U_0] :
( ~ r2_hidden(U_0,U_1)
| ~ r2_hidden(U_1,U_0) ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( ~ r2_hidden(U_0,U_1)
| ~ r2_hidden(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_tarski]) ).
fof(f_2_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2_1]) ).
cnf(f_2_3,plain,
$true,
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A,B] :
( A = B
| ? [C] :
( ( ~ r2_hidden(C,A)
& r2_hidden(C,B) )
| ( ~ r2_hidden(C,B)
& r2_hidden(C,A) ) ) ),
inference(fof_nnf,[status(thm)],[t2_tarski]) ).
fof(f_3_2,plain,
! [U_4,U_3] :
( U_4 = U_3
| ? [U_2] :
( ( ~ r2_hidden(U_2,U_4)
& r2_hidden(U_2,U_3) )
| ( ~ r2_hidden(U_2,U_3)
& r2_hidden(U_2,U_4) ) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_3] :
( U_4 = U_3
| ? [U_6] :
( ~ r2_hidden(U_6,U_4)
& r2_hidden(U_6,U_3) )
| ? [U_5] :
( ~ r2_hidden(U_5,U_3)
& r2_hidden(U_5,U_4) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_4,U_3] :
( U_4 = U_3
| ? [U_6] :
( ~ r2_hidden(U_6,U_4)
& r2_hidden(U_6,U_3) )
| ( ~ r2_hidden(sK1(U_4,U_3),U_3)
& r2_hidden(sK1(U_4,U_3),U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_5,sK1(U_4,U_3))],[f_3_3]) ).
fof(f_3_5,plain,
! [U_4,U_3] :
( U_4 = U_3
| ( ~ r2_hidden(sK2(U_4,U_3),U_4)
& r2_hidden(sK2(U_4,U_3),U_3) )
| ( ~ r2_hidden(sK1(U_4,U_3),U_3)
& r2_hidden(sK1(U_4,U_3),U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_6,sK2(U_4,U_3))],[f_3_4]) ).
fof(f_3_6,plain,
( ! [U_4,U_3] :
( ~ r2_hidden(sK2(U_4,U_3),U_4)
| ~ sP1(U_4,U_3) )
& ! [U_4,U_3] :
( r2_hidden(sK2(U_4,U_3),U_3)
| ~ sP1(U_4,U_3) )
& ! [U_4,U_3] :
( ~ r2_hidden(sK1(U_4,U_3),U_3)
| ~ sP0(U_4,U_3) )
& ! [U_4,U_3] :
( r2_hidden(sK1(U_4,U_3),U_4)
| ~ sP0(U_4,U_3) )
& ! [U_4,U_3] :
( U_4 = U_3
| sP1(U_4,U_3)
| sP0(U_4,U_3) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_3_5]) ).
cnf(f_3_7,plain,
( U_4 = U_3
| sP1(U_4,U_3)
| sP0(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_8,plain,
( r2_hidden(sK1(U_4,U_3),U_4)
| ~ sP0(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_9,plain,
( ~ r2_hidden(sK1(U_4,U_3),U_3)
| ~ sP0(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_10,plain,
( r2_hidden(sK2(U_4,U_3),U_3)
| ~ sP1(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_11,plain,
( ~ r2_hidden(sK2(U_4,U_3),U_4)
| ~ sP1(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_6]) ).
fof(f_4_1,plain,
! [A,B] :
( ( B = k1_tarski(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& C = A )
| ( C != A
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| C != A )
& ( C = A
| ~ r2_hidden(C,B) ) )
| B != k1_tarski(A) ) ),
inference(fof_nnf,[status(thm)],[d1_tarski]) ).
fof(f_4_2,plain,
! [U_10,U_9] :
( ( U_9 = k1_tarski(U_10)
| ? [U_8] :
( ( ~ r2_hidden(U_8,U_9)
& U_8 = U_10 )
| ( U_8 != U_10
& r2_hidden(U_8,U_9) ) ) )
& ( ! [U_7] :
( ( r2_hidden(U_7,U_9)
| U_7 != U_10 )
& ( U_7 = U_10
| ~ r2_hidden(U_7,U_9) ) )
| U_9 != k1_tarski(U_10) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_18,U_16] :
( U_16 = k1_tarski(U_18)
| ? [U_14] :
( ~ r2_hidden(U_14,U_16)
& U_14 = U_18 )
| ? [U_13] :
( U_13 != U_18
& r2_hidden(U_13,U_16) ) )
& ! [U_17,U_15] :
( ( ! [U_12] :
( r2_hidden(U_12,U_15)
| U_12 != U_17 )
& ! [U_11] :
( U_11 = U_17
| ~ r2_hidden(U_11,U_15) ) )
| U_15 != k1_tarski(U_17) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_18,U_16] :
( U_16 = k1_tarski(U_18)
| ? [U_14] :
( ~ r2_hidden(U_14,U_16)
& U_14 = U_18 )
| ( sK3(U_18,U_16) != U_18
& r2_hidden(sK3(U_18,U_16),U_16) ) )
& ! [U_17,U_15] :
( ( ! [U_12] :
( r2_hidden(U_12,U_15)
| U_12 != U_17 )
& ! [U_11] :
( U_11 = U_17
| ~ r2_hidden(U_11,U_15) ) )
| U_15 != k1_tarski(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_13,sK3(U_18,U_16))],[f_4_3]) ).
fof(f_4_5,plain,
( ! [U_18,U_16] :
( U_16 = k1_tarski(U_18)
| ( ~ r2_hidden(sK4(U_18,U_16),U_16)
& sK4(U_18,U_16) = U_18 )
| ( sK3(U_18,U_16) != U_18
& r2_hidden(sK3(U_18,U_16),U_16) ) )
& ! [U_17,U_15] :
( ( ! [U_12] :
( r2_hidden(U_12,U_15)
| U_12 != U_17 )
& ! [U_11] :
( U_11 = U_17
| ~ r2_hidden(U_11,U_15) ) )
| U_15 != k1_tarski(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_14,sK4(U_18,U_16))],[f_4_4]) ).
fof(f_4_6,plain,
( ! [U_18,U_16] :
( ~ r2_hidden(sK4(U_18,U_16),U_16)
| ~ sP4(U_18,U_16) )
& ! [U_18,U_16] :
( sK4(U_18,U_16) = U_18
| ~ sP4(U_18,U_16) )
& ! [U_18,U_16] :
( sK3(U_18,U_16) != U_18
| ~ sP3(U_18,U_16) )
& ! [U_18,U_16] :
( r2_hidden(sK3(U_18,U_16),U_16)
| ~ sP3(U_18,U_16) )
& ! [U_12,U_17,U_11,U_15] :
( r2_hidden(U_12,U_15)
| U_12 != U_17
| ~ sP2(U_12,U_17,U_11,U_15) )
& ! [U_12,U_17,U_11,U_15] :
( U_11 = U_17
| ~ r2_hidden(U_11,U_15)
| ~ sP2(U_12,U_17,U_11,U_15) )
& ! [U_18,U_16] :
( U_16 = k1_tarski(U_18)
| sP4(U_18,U_16)
| sP3(U_18,U_16) )
& ! [U_12,U_17,U_11,U_15] :
( sP2(U_12,U_17,U_11,U_15)
| U_15 != k1_tarski(U_17) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2,sP3,sP4])],[f_4_5]) ).
cnf(f_4_7,plain,
( sP2(U_12,U_17,U_11,U_15)
| U_15 != k1_tarski(U_17) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_8,plain,
( U_16 = k1_tarski(U_18)
| sP4(U_18,U_16)
| sP3(U_18,U_16) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_9,plain,
( U_11 = U_17
| ~ r2_hidden(U_11,U_15)
| ~ sP2(U_12,U_17,U_11,U_15) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_10,plain,
( r2_hidden(U_12,U_15)
| U_12 != U_17
| ~ sP2(U_12,U_17,U_11,U_15) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_11,plain,
( r2_hidden(sK3(U_18,U_16),U_16)
| ~ sP3(U_18,U_16) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_12,plain,
( sK3(U_18,U_16) != U_18
| ~ sP3(U_18,U_16) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_13,plain,
( sK4(U_18,U_16) = U_18
| ~ sP4(U_18,U_16) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_14,plain,
( ~ r2_hidden(sK4(U_18,U_16),U_16)
| ~ sP4(U_18,U_16) ),
inference(clausify,[status(thm)],[f_4_6]) ).
fof(f_5_1,plain,
! [A,B,C] :
( ( C = k2_tarski(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ( D = B
| D = A ) )
| ( D != B
& D != A
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ( D != B
& D != A ) )
& ( D = B
| D = A
| ~ r2_hidden(D,C) ) )
| C != k2_tarski(A,B) ) ),
inference(fof_nnf,[status(thm)],[d2_tarski]) ).
fof(f_5_2,plain,
! [U_23,U_22,U_21] :
( ( U_21 = k2_tarski(U_23,U_22)
| ? [U_20] :
( ( ~ r2_hidden(U_20,U_21)
& ( U_20 = U_22
| U_20 = U_23 ) )
| ( U_20 != U_22
& U_20 != U_23
& r2_hidden(U_20,U_21) ) ) )
& ( ! [U_19] :
( ( r2_hidden(U_19,U_21)
| ( U_19 != U_22
& U_19 != U_23 ) )
& ( U_19 = U_22
| U_19 = U_23
| ~ r2_hidden(U_19,U_21) ) )
| U_21 != k2_tarski(U_23,U_22) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_33,U_31,U_29] :
( U_29 = k2_tarski(U_33,U_31)
| ? [U_27] :
( ~ r2_hidden(U_27,U_29)
& ( U_27 = U_31
| U_27 = U_33 ) )
| ? [U_26] :
( U_26 != U_31
& U_26 != U_33
& r2_hidden(U_26,U_29) ) )
& ! [U_32,U_30,U_28] :
( ( ! [U_25] :
( r2_hidden(U_25,U_28)
| ( U_25 != U_30
& U_25 != U_32 ) )
& ! [U_24] :
( U_24 = U_30
| U_24 = U_32
| ~ r2_hidden(U_24,U_28) ) )
| U_28 != k2_tarski(U_32,U_30) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_33,U_31,U_29] :
( U_29 = k2_tarski(U_33,U_31)
| ? [U_27] :
( ~ r2_hidden(U_27,U_29)
& ( U_27 = U_31
| U_27 = U_33 ) )
| ( sK5(U_33,U_31,U_29) != U_31
& sK5(U_33,U_31,U_29) != U_33
& r2_hidden(sK5(U_33,U_31,U_29),U_29) ) )
& ! [U_32,U_30,U_28] :
( ( ! [U_25] :
( r2_hidden(U_25,U_28)
| ( U_25 != U_30
& U_25 != U_32 ) )
& ! [U_24] :
( U_24 = U_30
| U_24 = U_32
| ~ r2_hidden(U_24,U_28) ) )
| U_28 != k2_tarski(U_32,U_30) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_26,sK5(U_33,U_31,U_29))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_33,U_31,U_29] :
( U_29 = k2_tarski(U_33,U_31)
| ( ~ r2_hidden(sK6(U_33,U_31,U_29),U_29)
& ( sK6(U_33,U_31,U_29) = U_31
| sK6(U_33,U_31,U_29) = U_33 ) )
| ( sK5(U_33,U_31,U_29) != U_31
& sK5(U_33,U_31,U_29) != U_33
& r2_hidden(sK5(U_33,U_31,U_29),U_29) ) )
& ! [U_32,U_30,U_28] :
( ( ! [U_25] :
( r2_hidden(U_25,U_28)
| ( U_25 != U_30
& U_25 != U_32 ) )
& ! [U_24] :
( U_24 = U_30
| U_24 = U_32
| ~ r2_hidden(U_24,U_28) ) )
| U_28 != k2_tarski(U_32,U_30) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_27,sK6(U_33,U_31,U_29))],[f_5_4]) ).
fof(f_5_6,plain,
( ! [U_31,U_33,U_29] :
( ~ r2_hidden(sK6(U_33,U_31,U_29),U_29)
| ~ sP8(U_31,U_33,U_29) )
& ! [U_31,U_33,U_29] :
( sK6(U_33,U_31,U_29) = U_31
| sK6(U_33,U_31,U_29) = U_33
| ~ sP8(U_31,U_33,U_29) )
& ! [U_31,U_33,U_29] :
( sK5(U_33,U_31,U_29) != U_31
| ~ sP7(U_31,U_33,U_29) )
& ! [U_31,U_33,U_29] :
( sK5(U_33,U_31,U_29) != U_33
| ~ sP7(U_31,U_33,U_29) )
& ! [U_31,U_33,U_29] :
( r2_hidden(sK5(U_33,U_31,U_29),U_29)
| ~ sP7(U_31,U_33,U_29) )
& ! [U_32,U_30,U_25] :
( U_25 != U_30
| ~ sP5(U_32,U_30,U_25) )
& ! [U_32,U_30,U_25] :
( U_25 != U_32
| ~ sP5(U_32,U_30,U_25) )
& ! [U_32,U_30,U_25,U_24,U_28] :
( r2_hidden(U_25,U_28)
| sP5(U_32,U_30,U_25)
| ~ sP6(U_32,U_30,U_25,U_24,U_28) )
& ! [U_32,U_30,U_25,U_24,U_28] :
( U_24 = U_30
| U_24 = U_32
| ~ r2_hidden(U_24,U_28)
| ~ sP6(U_32,U_30,U_25,U_24,U_28) )
& ! [U_31,U_33,U_29] :
( U_29 = k2_tarski(U_33,U_31)
| sP8(U_31,U_33,U_29)
| sP7(U_31,U_33,U_29) )
& ! [U_32,U_30,U_25,U_24,U_28] :
( sP6(U_32,U_30,U_25,U_24,U_28)
| U_28 != k2_tarski(U_32,U_30) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5,sP6,sP7,sP8])],[f_5_5]) ).
cnf(f_5_7,plain,
( sP6(U_32,U_30,U_25,U_24,U_28)
| U_28 != k2_tarski(U_32,U_30) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_8,plain,
( U_29 = k2_tarski(U_33,U_31)
| sP8(U_31,U_33,U_29)
| sP7(U_31,U_33,U_29) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_9,plain,
( U_24 = U_30
| U_24 = U_32
| ~ r2_hidden(U_24,U_28)
| ~ sP6(U_32,U_30,U_25,U_24,U_28) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_10,plain,
( r2_hidden(U_25,U_28)
| sP5(U_32,U_30,U_25)
| ~ sP6(U_32,U_30,U_25,U_24,U_28) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_11,plain,
( U_25 != U_32
| ~ sP5(U_32,U_30,U_25) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_12,plain,
( U_25 != U_30
| ~ sP5(U_32,U_30,U_25) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_13,plain,
( r2_hidden(sK5(U_33,U_31,U_29),U_29)
| ~ sP7(U_31,U_33,U_29) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_14,plain,
( sK5(U_33,U_31,U_29) != U_33
| ~ sP7(U_31,U_33,U_29) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_15,plain,
( sK5(U_33,U_31,U_29) != U_31
| ~ sP7(U_31,U_33,U_29) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_16,plain,
( sK6(U_33,U_31,U_29) = U_31
| sK6(U_33,U_31,U_29) = U_33
| ~ sP8(U_31,U_33,U_29) ),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_17,plain,
( ~ r2_hidden(sK6(U_33,U_31,U_29),U_29)
| ~ sP8(U_31,U_33,U_29) ),
inference(clausify,[status(thm)],[f_5_6]) ).
fof(f_6_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_tarski]) ).
fof(f_6_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_6_1]) ).
cnf(f_6_3,plain,
$true,
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_tarski]) ).
fof(f_7_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_7_1]) ).
cnf(f_7_3,plain,
$true,
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A,B] :
( ( r1_tarski(A,B)
| ? [C] :
( ~ r2_hidden(C,B)
& r2_hidden(C,A) ) )
& ( ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(C,A) )
| ~ r1_tarski(A,B) ) ),
inference(fof_nnf,[status(thm)],[d3_tarski]) ).
fof(f_8_2,plain,
! [U_37,U_36] :
( ( r1_tarski(U_37,U_36)
| ? [U_35] :
( ~ r2_hidden(U_35,U_36)
& r2_hidden(U_35,U_37) ) )
& ( ! [U_34] :
( r2_hidden(U_34,U_36)
| ~ r2_hidden(U_34,U_37) )
| ~ r1_tarski(U_37,U_36) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_41,U_39] :
( r1_tarski(U_41,U_39)
| ? [U_35] :
( ~ r2_hidden(U_35,U_39)
& r2_hidden(U_35,U_41) ) )
& ! [U_40,U_38] :
( ! [U_34] :
( r2_hidden(U_34,U_38)
| ~ r2_hidden(U_34,U_40) )
| ~ r1_tarski(U_40,U_38) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_41,U_39] :
( r1_tarski(U_41,U_39)
| ( ~ r2_hidden(sK7(U_41,U_39),U_39)
& r2_hidden(sK7(U_41,U_39),U_41) ) )
& ! [U_40,U_38] :
( ! [U_34] :
( r2_hidden(U_34,U_38)
| ~ r2_hidden(U_34,U_40) )
| ~ r1_tarski(U_40,U_38) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_35,sK7(U_41,U_39))],[f_8_3]) ).
fof(f_8_5,plain,
( ! [U_41,U_39] :
( ~ r2_hidden(sK7(U_41,U_39),U_39)
| ~ sP9(U_41,U_39) )
& ! [U_41,U_39] :
( r2_hidden(sK7(U_41,U_39),U_41)
| ~ sP9(U_41,U_39) )
& ! [U_41,U_39] :
( r1_tarski(U_41,U_39)
| sP9(U_41,U_39) )
& ! [U_38,U_34,U_40] :
( r2_hidden(U_34,U_38)
| ~ r2_hidden(U_34,U_40)
| ~ r1_tarski(U_40,U_38) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP9])],[f_8_4]) ).
cnf(f_8_6,plain,
( r2_hidden(U_34,U_38)
| ~ r2_hidden(U_34,U_40)
| ~ r1_tarski(U_40,U_38) ),
inference(clausify,[status(thm)],[f_8_5]) ).
cnf(f_8_7,plain,
( r1_tarski(U_41,U_39)
| sP9(U_41,U_39) ),
inference(clausify,[status(thm)],[f_8_5]) ).
cnf(f_8_8,plain,
( r2_hidden(sK7(U_41,U_39),U_41)
| ~ sP9(U_41,U_39) ),
inference(clausify,[status(thm)],[f_8_5]) ).
cnf(f_8_9,plain,
( ~ r2_hidden(sK7(U_41,U_39),U_39)
| ~ sP9(U_41,U_39) ),
inference(clausify,[status(thm)],[f_8_5]) ).
fof(f_9_1,plain,
! [A,B] :
( ( B = k3_tarski(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& ? [D] :
( r2_hidden(D,A)
& r2_hidden(C,D) ) )
| ( ! [D] :
( ~ r2_hidden(D,A)
| ~ r2_hidden(C,D) )
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ! [D] :
( ~ r2_hidden(D,A)
| ~ r2_hidden(C,D) ) )
& ( ? [D] :
( r2_hidden(D,A)
& r2_hidden(C,D) )
| ~ r2_hidden(C,B) ) )
| B != k3_tarski(A) ) ),
inference(fof_nnf,[status(thm)],[d4_tarski]) ).
fof(f_9_2,plain,
! [U_49,U_48] :
( ( U_48 = k3_tarski(U_49)
| ? [U_47] :
( ( ~ r2_hidden(U_47,U_48)
& ? [U_46] :
( r2_hidden(U_46,U_49)
& r2_hidden(U_47,U_46) ) )
| ( ! [U_45] :
( ~ r2_hidden(U_45,U_49)
| ~ r2_hidden(U_47,U_45) )
& r2_hidden(U_47,U_48) ) ) )
& ( ! [U_44] :
( ( r2_hidden(U_44,U_48)
| ! [U_43] :
( ~ r2_hidden(U_43,U_49)
| ~ r2_hidden(U_44,U_43) ) )
& ( ? [U_42] :
( r2_hidden(U_42,U_49)
& r2_hidden(U_44,U_42) )
| ~ r2_hidden(U_44,U_48) ) )
| U_48 != k3_tarski(U_49) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_57,U_55] :
( U_55 = k3_tarski(U_57)
| ? [U_53] :
( ~ r2_hidden(U_53,U_55)
& ? [U_46] :
( r2_hidden(U_46,U_57)
& r2_hidden(U_53,U_46) ) )
| ? [U_52] :
( ! [U_45] :
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(U_52,U_45) )
& r2_hidden(U_52,U_55) ) )
& ! [U_56,U_54] :
( ( ! [U_51] :
( r2_hidden(U_51,U_54)
| ! [U_43] :
( ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43) ) )
& ! [U_50] :
( ? [U_42] :
( r2_hidden(U_42,U_56)
& r2_hidden(U_50,U_42) )
| ~ r2_hidden(U_50,U_54) ) )
| U_54 != k3_tarski(U_56) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_57,U_55] :
( U_55 = k3_tarski(U_57)
| ? [U_53] :
( ~ r2_hidden(U_53,U_55)
& ? [U_46] :
( r2_hidden(U_46,U_57)
& r2_hidden(U_53,U_46) ) )
| ? [U_52] :
( ! [U_45] :
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(U_52,U_45) )
& r2_hidden(U_52,U_55) ) )
& ! [U_56,U_54] :
( ( ! [U_51] :
( r2_hidden(U_51,U_54)
| ! [U_43] :
( ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43) ) )
& ! [U_50] :
( ( r2_hidden(sK8(U_56,U_54,U_50),U_56)
& r2_hidden(U_50,sK8(U_56,U_54,U_50)) )
| ~ r2_hidden(U_50,U_54) ) )
| U_54 != k3_tarski(U_56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_42,sK8(U_56,U_54,U_50))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_57,U_55] :
( U_55 = k3_tarski(U_57)
| ? [U_53] :
( ~ r2_hidden(U_53,U_55)
& ? [U_46] :
( r2_hidden(U_46,U_57)
& r2_hidden(U_53,U_46) ) )
| ( ! [U_45] :
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(sK9(U_57,U_55),U_45) )
& r2_hidden(sK9(U_57,U_55),U_55) ) )
& ! [U_56,U_54] :
( ( ! [U_51] :
( r2_hidden(U_51,U_54)
| ! [U_43] :
( ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43) ) )
& ! [U_50] :
( ( r2_hidden(sK8(U_56,U_54,U_50),U_56)
& r2_hidden(U_50,sK8(U_56,U_54,U_50)) )
| ~ r2_hidden(U_50,U_54) ) )
| U_54 != k3_tarski(U_56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_52,sK9(U_57,U_55))],[f_9_4]) ).
fof(f_9_6,plain,
( ! [U_57,U_55] :
( U_55 = k3_tarski(U_57)
| ( ~ r2_hidden(sK10(U_57,U_55),U_55)
& ? [U_46] :
( r2_hidden(U_46,U_57)
& r2_hidden(sK10(U_57,U_55),U_46) ) )
| ( ! [U_45] :
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(sK9(U_57,U_55),U_45) )
& r2_hidden(sK9(U_57,U_55),U_55) ) )
& ! [U_56,U_54] :
( ( ! [U_51] :
( r2_hidden(U_51,U_54)
| ! [U_43] :
( ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43) ) )
& ! [U_50] :
( ( r2_hidden(sK8(U_56,U_54,U_50),U_56)
& r2_hidden(U_50,sK8(U_56,U_54,U_50)) )
| ~ r2_hidden(U_50,U_54) ) )
| U_54 != k3_tarski(U_56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_53,sK10(U_57,U_55))],[f_9_5]) ).
fof(f_9_7,plain,
( ! [U_57,U_55] :
( U_55 = k3_tarski(U_57)
| ( ~ r2_hidden(sK10(U_57,U_55),U_55)
& r2_hidden(sK11(U_57,U_55),U_57)
& r2_hidden(sK10(U_57,U_55),sK11(U_57,U_55)) )
| ( ! [U_45] :
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(sK9(U_57,U_55),U_45) )
& r2_hidden(sK9(U_57,U_55),U_55) ) )
& ! [U_56,U_54] :
( ( ! [U_51] :
( r2_hidden(U_51,U_54)
| ! [U_43] :
( ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43) ) )
& ! [U_50] :
( ( r2_hidden(sK8(U_56,U_54,U_50),U_56)
& r2_hidden(U_50,sK8(U_56,U_54,U_50)) )
| ~ r2_hidden(U_50,U_54) ) )
| U_54 != k3_tarski(U_56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_46,sK11(U_57,U_55))],[f_9_6]) ).
fof(f_9_8,plain,
( ! [U_55,U_57] :
( ~ r2_hidden(sK10(U_57,U_55),U_55)
| ~ sP13(U_55,U_57) )
& ! [U_55,U_57] :
( r2_hidden(sK11(U_57,U_55),U_57)
| ~ sP13(U_55,U_57) )
& ! [U_55,U_57] :
( r2_hidden(sK10(U_57,U_55),sK11(U_57,U_55))
| ~ sP13(U_55,U_57) )
& ! [U_55,U_57,U_45] :
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(sK9(U_57,U_55),U_45)
| ~ sP12(U_55,U_57,U_45) )
& ! [U_55,U_57,U_45] :
( r2_hidden(sK9(U_57,U_55),U_55)
| ~ sP12(U_55,U_57,U_45) )
& ! [U_54,U_50,U_56] :
( r2_hidden(sK8(U_56,U_54,U_50),U_56)
| ~ sP10(U_54,U_50,U_56) )
& ! [U_54,U_50,U_56] :
( r2_hidden(U_50,sK8(U_56,U_54,U_50))
| ~ sP10(U_54,U_50,U_56) )
& ! [U_51,U_54,U_43,U_50,U_56] :
( r2_hidden(U_51,U_54)
| ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43)
| ~ sP11(U_51,U_54,U_43,U_50,U_56) )
& ! [U_51,U_54,U_43,U_50,U_56] :
( sP10(U_54,U_50,U_56)
| ~ r2_hidden(U_50,U_54)
| ~ sP11(U_51,U_54,U_43,U_50,U_56) )
& ! [U_55,U_57,U_45] :
( U_55 = k3_tarski(U_57)
| sP13(U_55,U_57)
| sP12(U_55,U_57,U_45) )
& ! [U_51,U_54,U_43,U_50,U_56] :
( sP11(U_51,U_54,U_43,U_50,U_56)
| U_54 != k3_tarski(U_56) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP10,sP11,sP12,sP13])],[f_9_7]) ).
cnf(f_9_9,plain,
( sP11(U_51,U_54,U_43,U_50,U_56)
| U_54 != k3_tarski(U_56) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_10,plain,
( U_55 = k3_tarski(U_57)
| sP13(U_55,U_57)
| sP12(U_55,U_57,U_45) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_11,plain,
( sP10(U_54,U_50,U_56)
| ~ r2_hidden(U_50,U_54)
| ~ sP11(U_51,U_54,U_43,U_50,U_56) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_12,plain,
( r2_hidden(U_51,U_54)
| ~ r2_hidden(U_43,U_56)
| ~ r2_hidden(U_51,U_43)
| ~ sP11(U_51,U_54,U_43,U_50,U_56) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_13,plain,
( r2_hidden(U_50,sK8(U_56,U_54,U_50))
| ~ sP10(U_54,U_50,U_56) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_14,plain,
( r2_hidden(sK8(U_56,U_54,U_50),U_56)
| ~ sP10(U_54,U_50,U_56) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_15,plain,
( r2_hidden(sK9(U_57,U_55),U_55)
| ~ sP12(U_55,U_57,U_45) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_16,plain,
( ~ r2_hidden(U_45,U_57)
| ~ r2_hidden(sK9(U_57,U_55),U_45)
| ~ sP12(U_55,U_57,U_45) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_17,plain,
( r2_hidden(sK10(U_57,U_55),sK11(U_57,U_55))
| ~ sP13(U_55,U_57) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_18,plain,
( r2_hidden(sK11(U_57,U_55),U_57)
| ~ sP13(U_55,U_57) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_19,plain,
( ~ r2_hidden(sK10(U_57,U_55),U_55)
| ~ sP13(U_55,U_57) ),
inference(clausify,[status(thm)],[f_9_8]) ).
fof(f_10_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_tarski]) ).
fof(f_10_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_10_1]) ).
cnf(f_10_3,plain,
$true,
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_tarski]) ).
fof(f_11_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_11_1]) ).
cnf(f_11_3,plain,
$true,
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [A,B] :
( ? [C] :
( ! [D] :
( ~ r2_hidden(D,C)
| ~ r2_hidden(D,B) )
& r2_hidden(C,B) )
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_tarski]) ).
fof(f_12_2,plain,
! [U_61,U_60] :
( ? [U_59] :
( ! [U_58] :
( ~ r2_hidden(U_58,U_59)
| ~ r2_hidden(U_58,U_60) )
& r2_hidden(U_59,U_60) )
| ~ r2_hidden(U_61,U_60) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_61,U_60] :
( ( ! [U_58] :
( ~ r2_hidden(U_58,sK12(U_61,U_60))
| ~ r2_hidden(U_58,U_60) )
& r2_hidden(sK12(U_61,U_60),U_60) )
| ~ r2_hidden(U_61,U_60) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_59,sK12(U_61,U_60))],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_60,U_61,U_58] :
( ~ r2_hidden(U_58,sK12(U_61,U_60))
| ~ r2_hidden(U_58,U_60)
| ~ sP14(U_60,U_61,U_58) )
& ! [U_60,U_61,U_58] :
( r2_hidden(sK12(U_61,U_60),U_60)
| ~ sP14(U_60,U_61,U_58) )
& ! [U_60,U_61,U_58] :
( sP14(U_60,U_61,U_58)
| ~ r2_hidden(U_61,U_60) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP14])],[f_12_3]) ).
cnf(f_12_5,plain,
( sP14(U_60,U_61,U_58)
| ~ r2_hidden(U_61,U_60) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( r2_hidden(sK12(U_61,U_60),U_60)
| ~ sP14(U_60,U_61,U_58) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_7,plain,
( ~ r2_hidden(U_58,sK12(U_61,U_60))
| ~ r2_hidden(U_58,U_60)
| ~ sP14(U_60,U_61,U_58) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)),
inference(fof_nnf,[status(thm)],[d5_tarski]) ).
fof(f_13_2,plain,
! [U_63,U_62] : k4_tarski(U_63,U_62) = k2_tarski(k2_tarski(U_63,U_62),k1_tarski(U_63)),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_62,U_63] : k4_tarski(U_63,U_62) = k2_tarski(k2_tarski(U_63,U_62),k1_tarski(U_63)),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
k4_tarski(U_63,U_62) = k2_tarski(k2_tarski(U_63,U_62),k1_tarski(U_63)),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_tarski]) ).
fof(f_14_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_14_1]) ).
cnf(f_14_3,plain,
$true,
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [A,B] :
( ( r2_tarski(A,B)
| ! [C] :
( ? [D,E,F,G] :
( ( ( D != F
& E = G )
| ( E != G
& D = F ) )
& r2_hidden(k4_tarski(F,G),C)
& r2_hidden(k4_tarski(D,E),C) )
| ? [D] :
( ! [E] :
( ~ r2_hidden(k4_tarski(E,D),C)
| ~ r2_hidden(E,A) )
& r2_hidden(D,B) )
| ? [D] :
( ! [E] :
( ~ r2_hidden(k4_tarski(D,E),C)
| ~ r2_hidden(E,B) )
& r2_hidden(D,A) ) ) )
& ( ? [C] :
( ! [D,E,F,G] :
( ( ( D = F
| E != G )
& ( E = G
| D != F ) )
| ~ r2_hidden(k4_tarski(F,G),C)
| ~ r2_hidden(k4_tarski(D,E),C) )
& ! [D] :
( ? [E] :
( r2_hidden(k4_tarski(E,D),C)
& r2_hidden(E,A) )
| ~ r2_hidden(D,B) )
& ! [D] :
( ? [E] :
( r2_hidden(k4_tarski(D,E),C)
& r2_hidden(E,B) )
| ~ r2_hidden(D,A) ) )
| ~ r2_tarski(A,B) ) ),
inference(fof_nnf,[status(thm)],[d6_tarski]) ).
fof(f_15_2,plain,
! [U_83,U_82] :
( ( r2_tarski(U_83,U_82)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ? [U_76] :
( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,U_76),U_81)
| ~ r2_hidden(U_75,U_83) )
& r2_hidden(U_76,U_82) )
| ? [U_74] :
( ! [U_73] :
( ~ r2_hidden(k4_tarski(U_74,U_73),U_81)
| ~ r2_hidden(U_73,U_82) )
& r2_hidden(U_74,U_83) ) ) )
& ( ? [U_72] :
( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),U_72)
| ~ r2_hidden(k4_tarski(U_71,U_70),U_72) )
& ! [U_67] :
( ? [U_66] :
( r2_hidden(k4_tarski(U_66,U_67),U_72)
& r2_hidden(U_66,U_83) )
| ~ r2_hidden(U_67,U_82) )
& ! [U_65] :
( ? [U_64] :
( r2_hidden(k4_tarski(U_65,U_64),U_72)
& r2_hidden(U_64,U_82) )
| ~ r2_hidden(U_65,U_83) ) )
| ~ r2_tarski(U_83,U_82) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ? [U_76] :
( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,U_76),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(U_76,U_85) )
| ? [U_74] :
( ! [U_73] :
( ~ r2_hidden(k4_tarski(U_74,U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(U_74,U_87) ) ) )
& ! [U_86,U_84] :
( ? [U_72] :
( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),U_72)
| ~ r2_hidden(k4_tarski(U_71,U_70),U_72) )
& ! [U_67] :
( ? [U_66] :
( r2_hidden(k4_tarski(U_66,U_67),U_72)
& r2_hidden(U_66,U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ? [U_64] :
( r2_hidden(k4_tarski(U_65,U_64),U_72)
& r2_hidden(U_64,U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ? [U_76] :
( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,U_76),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(U_76,U_85) )
| ? [U_74] :
( ! [U_73] :
( ~ r2_hidden(k4_tarski(U_74,U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(U_74,U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ? [U_66] :
( r2_hidden(k4_tarski(U_66,U_67),sK13(U_86,U_84))
& r2_hidden(U_66,U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ? [U_64] :
( r2_hidden(k4_tarski(U_65,U_64),sK13(U_86,U_84))
& r2_hidden(U_64,U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_72,sK13(U_86,U_84))],[f_15_3]) ).
fof(f_15_5,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ? [U_76] :
( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,U_76),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(U_76,U_85) )
| ? [U_74] :
( ! [U_73] :
( ~ r2_hidden(k4_tarski(U_74,U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(U_74,U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ? [U_66] :
( r2_hidden(k4_tarski(U_66,U_67),sK13(U_86,U_84))
& r2_hidden(U_66,U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_64,sK14(U_86,U_84,U_65))],[f_15_4]) ).
fof(f_15_6,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ? [U_76] :
( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,U_76),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(U_76,U_85) )
| ? [U_74] :
( ! [U_73] :
( ~ r2_hidden(k4_tarski(U_74,U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(U_74,U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_66,sK15(U_86,U_84,U_67))],[f_15_5]) ).
fof(f_15_7,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ? [U_76] :
( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,U_76),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(U_76,U_85) )
| ( ! [U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(sK16(U_87,U_85,U_81),U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_74,sK16(U_87,U_85,U_81))],[f_15_6]) ).
fof(f_15_8,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_80,U_79,U_78,U_77] :
( ( ( U_80 != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& U_80 = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(U_80,U_79),U_81) )
| ( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(sK17(U_87,U_85,U_81),U_85) )
| ( ! [U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(sK16(U_87,U_85,U_81),U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_76,sK17(U_87,U_85,U_81))],[f_15_7]) ).
fof(f_15_9,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_79,U_78,U_77] :
( ( ( sK18(U_87,U_85,U_81) != U_78
& U_79 = U_77 )
| ( U_79 != U_77
& sK18(U_87,U_85,U_81) = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(sK18(U_87,U_85,U_81),U_79),U_81) )
| ( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(sK17(U_87,U_85,U_81),U_85) )
| ( ! [U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(sK16(U_87,U_85,U_81),U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_80,sK18(U_87,U_85,U_81))],[f_15_8]) ).
fof(f_15_10,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_78,U_77] :
( ( ( sK18(U_87,U_85,U_81) != U_78
& sK19(U_87,U_85,U_81) = U_77 )
| ( sK19(U_87,U_85,U_81) != U_77
& sK18(U_87,U_85,U_81) = U_78 ) )
& r2_hidden(k4_tarski(U_78,U_77),U_81)
& r2_hidden(k4_tarski(sK18(U_87,U_85,U_81),sK19(U_87,U_85,U_81)),U_81) )
| ( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(sK17(U_87,U_85,U_81),U_85) )
| ( ! [U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(sK16(U_87,U_85,U_81),U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_79,sK19(U_87,U_85,U_81))],[f_15_9]) ).
fof(f_15_11,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ? [U_77] :
( ( ( sK18(U_87,U_85,U_81) != sK20(U_87,U_85,U_81)
& sK19(U_87,U_85,U_81) = U_77 )
| ( sK19(U_87,U_85,U_81) != U_77
& sK18(U_87,U_85,U_81) = sK20(U_87,U_85,U_81) ) )
& r2_hidden(k4_tarski(sK20(U_87,U_85,U_81),U_77),U_81)
& r2_hidden(k4_tarski(sK18(U_87,U_85,U_81),sK19(U_87,U_85,U_81)),U_81) )
| ( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(sK17(U_87,U_85,U_81),U_85) )
| ( ! [U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(sK16(U_87,U_85,U_81),U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_78,sK20(U_87,U_85,U_81))],[f_15_10]) ).
fof(f_15_12,plain,
( ! [U_87,U_85] :
( r2_tarski(U_87,U_85)
| ! [U_81] :
( ( ( ( sK18(U_87,U_85,U_81) != sK20(U_87,U_85,U_81)
& sK19(U_87,U_85,U_81) = sK21(U_87,U_85,U_81) )
| ( sK19(U_87,U_85,U_81) != sK21(U_87,U_85,U_81)
& sK18(U_87,U_85,U_81) = sK20(U_87,U_85,U_81) ) )
& r2_hidden(k4_tarski(sK20(U_87,U_85,U_81),sK21(U_87,U_85,U_81)),U_81)
& r2_hidden(k4_tarski(sK18(U_87,U_85,U_81),sK19(U_87,U_85,U_81)),U_81) )
| ( ! [U_75] :
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87) )
& r2_hidden(sK17(U_87,U_85,U_81),U_85) )
| ( ! [U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85) )
& r2_hidden(sK16(U_87,U_85,U_81),U_87) ) ) )
& ! [U_86,U_84] :
( ( ! [U_71,U_70,U_69,U_68] :
( ( ( U_71 = U_69
| U_70 != U_68 )
& ( U_70 = U_68
| U_71 != U_69 ) )
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84)) )
& ! [U_67] :
( ( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
& r2_hidden(sK15(U_86,U_84,U_67),U_86) )
| ~ r2_hidden(U_67,U_84) )
& ! [U_65] :
( ( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
& r2_hidden(sK14(U_86,U_84,U_65),U_84) )
| ~ r2_hidden(U_65,U_86) ) )
| ~ r2_tarski(U_86,U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_77,sK21(U_87,U_85,U_81))],[f_15_11]) ).
fof(f_15_13,plain,
( ! [U_85,U_81,U_87] :
( sK18(U_87,U_85,U_81) != sK20(U_87,U_85,U_81)
| ~ sP22(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87] :
( sK19(U_87,U_85,U_81) = sK21(U_87,U_85,U_81)
| ~ sP22(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87] :
( sK19(U_87,U_85,U_81) != sK21(U_87,U_85,U_81)
| ~ sP21(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87] :
( sK18(U_87,U_85,U_81) = sK20(U_87,U_85,U_81)
| ~ sP21(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87] :
( sP22(U_85,U_81,U_87)
| sP21(U_85,U_81,U_87)
| ~ sP23(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87] :
( r2_hidden(k4_tarski(sK20(U_87,U_85,U_81),sK21(U_87,U_85,U_81)),U_81)
| ~ sP23(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87] :
( r2_hidden(k4_tarski(sK18(U_87,U_85,U_81),sK19(U_87,U_85,U_81)),U_81)
| ~ sP23(U_85,U_81,U_87) )
& ! [U_85,U_81,U_87,U_75] :
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87)
| ~ sP20(U_85,U_81,U_87,U_75) )
& ! [U_85,U_81,U_87,U_75] :
( r2_hidden(sK17(U_87,U_85,U_81),U_85)
| ~ sP20(U_85,U_81,U_87,U_75) )
& ! [U_85,U_81,U_87,U_73] :
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85)
| ~ sP19(U_85,U_81,U_87,U_73) )
& ! [U_85,U_81,U_87,U_73] :
( r2_hidden(sK16(U_87,U_85,U_81),U_87)
| ~ sP19(U_85,U_81,U_87,U_73) )
& ! [U_68,U_70,U_71,U_69] :
( U_71 = U_69
| U_70 != U_68
| ~ sP17(U_68,U_70,U_71,U_69) )
& ! [U_68,U_70,U_71,U_69] :
( U_70 = U_68
| U_71 != U_69
| ~ sP17(U_68,U_70,U_71,U_69) )
& ! [U_84,U_86,U_67] :
( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
| ~ sP16(U_84,U_86,U_67) )
& ! [U_84,U_86,U_67] :
( r2_hidden(sK15(U_86,U_84,U_67),U_86)
| ~ sP16(U_84,U_86,U_67) )
& ! [U_84,U_86,U_65] :
( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
| ~ sP15(U_84,U_86,U_65) )
& ! [U_84,U_86,U_65] :
( r2_hidden(sK14(U_86,U_84,U_65),U_84)
| ~ sP15(U_84,U_86,U_65) )
& ! [U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67] :
( sP17(U_68,U_70,U_71,U_69)
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84))
| ~ sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67) )
& ! [U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67] :
( sP16(U_84,U_86,U_67)
| ~ r2_hidden(U_67,U_84)
| ~ sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67) )
& ! [U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67] :
( sP15(U_84,U_86,U_65)
| ~ r2_hidden(U_65,U_86)
| ~ sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67) )
& ! [U_85,U_81,U_87,U_73,U_75] :
( r2_tarski(U_87,U_85)
| sP23(U_85,U_81,U_87)
| sP20(U_85,U_81,U_87,U_75)
| sP19(U_85,U_81,U_87,U_73) )
& ! [U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67] :
( sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67)
| ~ r2_tarski(U_86,U_84) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP15,sP16,sP17,sP18,sP19,sP20,sP21,sP22,sP23])],[f_15_12]) ).
cnf(f_15_14,plain,
( sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67)
| ~ r2_tarski(U_86,U_84) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_15,plain,
( r2_tarski(U_87,U_85)
| sP23(U_85,U_81,U_87)
| sP20(U_85,U_81,U_87,U_75)
| sP19(U_85,U_81,U_87,U_73) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_16,plain,
( sP15(U_84,U_86,U_65)
| ~ r2_hidden(U_65,U_86)
| ~ sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_17,plain,
( sP16(U_84,U_86,U_67)
| ~ r2_hidden(U_67,U_84)
| ~ sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_18,plain,
( sP17(U_68,U_70,U_71,U_69)
| ~ r2_hidden(k4_tarski(U_69,U_68),sK13(U_86,U_84))
| ~ r2_hidden(k4_tarski(U_71,U_70),sK13(U_86,U_84))
| ~ sP18(U_84,U_86,U_68,U_70,U_71,U_65,U_69,U_67) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_19,plain,
( r2_hidden(sK14(U_86,U_84,U_65),U_84)
| ~ sP15(U_84,U_86,U_65) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_20,plain,
( r2_hidden(k4_tarski(U_65,sK14(U_86,U_84,U_65)),sK13(U_86,U_84))
| ~ sP15(U_84,U_86,U_65) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_21,plain,
( r2_hidden(sK15(U_86,U_84,U_67),U_86)
| ~ sP16(U_84,U_86,U_67) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_22,plain,
( r2_hidden(k4_tarski(sK15(U_86,U_84,U_67),U_67),sK13(U_86,U_84))
| ~ sP16(U_84,U_86,U_67) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_23,plain,
( U_70 = U_68
| U_71 != U_69
| ~ sP17(U_68,U_70,U_71,U_69) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_24,plain,
( U_71 = U_69
| U_70 != U_68
| ~ sP17(U_68,U_70,U_71,U_69) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_25,plain,
( r2_hidden(sK16(U_87,U_85,U_81),U_87)
| ~ sP19(U_85,U_81,U_87,U_73) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_26,plain,
( ~ r2_hidden(k4_tarski(sK16(U_87,U_85,U_81),U_73),U_81)
| ~ r2_hidden(U_73,U_85)
| ~ sP19(U_85,U_81,U_87,U_73) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_27,plain,
( r2_hidden(sK17(U_87,U_85,U_81),U_85)
| ~ sP20(U_85,U_81,U_87,U_75) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_28,plain,
( ~ r2_hidden(k4_tarski(U_75,sK17(U_87,U_85,U_81)),U_81)
| ~ r2_hidden(U_75,U_87)
| ~ sP20(U_85,U_81,U_87,U_75) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_29,plain,
( r2_hidden(k4_tarski(sK18(U_87,U_85,U_81),sK19(U_87,U_85,U_81)),U_81)
| ~ sP23(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_30,plain,
( r2_hidden(k4_tarski(sK20(U_87,U_85,U_81),sK21(U_87,U_85,U_81)),U_81)
| ~ sP23(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_31,plain,
( sP22(U_85,U_81,U_87)
| sP21(U_85,U_81,U_87)
| ~ sP23(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_32,plain,
( sK18(U_87,U_85,U_81) = sK20(U_87,U_85,U_81)
| ~ sP21(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_33,plain,
( sK19(U_87,U_85,U_81) != sK21(U_87,U_85,U_81)
| ~ sP21(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_34,plain,
( sK19(U_87,U_85,U_81) = sK21(U_87,U_85,U_81)
| ~ sP22(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
cnf(f_15_35,plain,
( sK18(U_87,U_85,U_81) != sK20(U_87,U_85,U_81)
| ~ sP22(U_85,U_81,U_87) ),
inference(clausify,[status(thm)],[f_15_13]) ).
fof(f_16_1,plain,
! [A] :
? [B] :
( ! [C] :
( r2_hidden(C,B)
| r2_tarski(C,B)
| ~ r1_tarski(C,B) )
& ! [C] :
( ? [D] :
( ! [E] :
( r2_hidden(E,D)
| ~ r1_tarski(E,C) )
& r2_hidden(D,B) )
| ~ r2_hidden(C,B) )
& ! [C,D] :
( r2_hidden(D,B)
| ~ r1_tarski(D,C)
| ~ r2_hidden(C,B) )
& r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t9_tarski]) ).
fof(f_16_2,plain,
! [U_95] :
? [U_94] :
( ! [U_93] :
( r2_hidden(U_93,U_94)
| r2_tarski(U_93,U_94)
| ~ r1_tarski(U_93,U_94) )
& ! [U_92] :
( ? [U_91] :
( ! [U_90] :
( r2_hidden(U_90,U_91)
| ~ r1_tarski(U_90,U_92) )
& r2_hidden(U_91,U_94) )
| ~ r2_hidden(U_92,U_94) )
& ! [U_89,U_88] :
( r2_hidden(U_88,U_94)
| ~ r1_tarski(U_88,U_89)
| ~ r2_hidden(U_89,U_94) )
& r2_hidden(U_95,U_94) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_95] :
( ! [U_93] :
( r2_hidden(U_93,sK22(U_95))
| r2_tarski(U_93,sK22(U_95))
| ~ r1_tarski(U_93,sK22(U_95)) )
& ! [U_92] :
( ? [U_91] :
( ! [U_90] :
( r2_hidden(U_90,U_91)
| ~ r1_tarski(U_90,U_92) )
& r2_hidden(U_91,sK22(U_95)) )
| ~ r2_hidden(U_92,sK22(U_95)) )
& ! [U_89,U_88] :
( r2_hidden(U_88,sK22(U_95))
| ~ r1_tarski(U_88,U_89)
| ~ r2_hidden(U_89,sK22(U_95)) )
& r2_hidden(U_95,sK22(U_95)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_94,sK22(U_95))],[f_16_2]) ).
fof(f_16_4,plain,
! [U_95] :
( ! [U_93] :
( r2_hidden(U_93,sK22(U_95))
| r2_tarski(U_93,sK22(U_95))
| ~ r1_tarski(U_93,sK22(U_95)) )
& ! [U_92] :
( ( ! [U_90] :
( r2_hidden(U_90,sK23(U_95,U_92))
| ~ r1_tarski(U_90,U_92) )
& r2_hidden(sK23(U_95,U_92),sK22(U_95)) )
| ~ r2_hidden(U_92,sK22(U_95)) )
& ! [U_89,U_88] :
( r2_hidden(U_88,sK22(U_95))
| ~ r1_tarski(U_88,U_89)
| ~ r2_hidden(U_89,sK22(U_95)) )
& r2_hidden(U_95,sK22(U_95)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_91,sK23(U_95,U_92))],[f_16_3]) ).
fof(f_16_5,plain,
( ! [U_92,U_90,U_95] :
( r2_hidden(U_90,sK23(U_95,U_92))
| ~ r1_tarski(U_90,U_92)
| ~ sP24(U_92,U_90,U_95) )
& ! [U_92,U_90,U_95] :
( r2_hidden(sK23(U_95,U_92),sK22(U_95))
| ~ sP24(U_92,U_90,U_95) )
& ! [U_93,U_95] :
( r2_hidden(U_93,sK22(U_95))
| r2_tarski(U_93,sK22(U_95))
| ~ r1_tarski(U_93,sK22(U_95)) )
& ! [U_92,U_90,U_95] :
( sP24(U_92,U_90,U_95)
| ~ r2_hidden(U_92,sK22(U_95)) )
& ! [U_89,U_88,U_95] :
( r2_hidden(U_88,sK22(U_95))
| ~ r1_tarski(U_88,U_89)
| ~ r2_hidden(U_89,sK22(U_95)) )
& ! [U_95] : r2_hidden(U_95,sK22(U_95)) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP24])],[f_16_4]) ).
cnf(f_16_6,plain,
r2_hidden(U_95,sK22(U_95)),
inference(clausify,[status(thm)],[f_16_5]) ).
cnf(f_16_7,plain,
( r2_hidden(U_88,sK22(U_95))
| ~ r1_tarski(U_88,U_89)
| ~ r2_hidden(U_89,sK22(U_95)) ),
inference(clausify,[status(thm)],[f_16_5]) ).
cnf(f_16_8,plain,
( sP24(U_92,U_90,U_95)
| ~ r2_hidden(U_92,sK22(U_95)) ),
inference(clausify,[status(thm)],[f_16_5]) ).
cnf(f_16_9,plain,
( r2_hidden(U_93,sK22(U_95))
| r2_tarski(U_93,sK22(U_95))
| ~ r1_tarski(U_93,sK22(U_95)) ),
inference(clausify,[status(thm)],[f_16_5]) ).
cnf(f_16_10,plain,
( r2_hidden(sK23(U_95,U_92),sK22(U_95))
| ~ sP24(U_92,U_90,U_95) ),
inference(clausify,[status(thm)],[f_16_5]) ).
cnf(f_16_11,plain,
( r2_hidden(U_90,sK23(U_95,U_92))
| ~ r1_tarski(U_90,U_92)
| ~ sP24(U_92,U_90,U_95) ),
inference(clausify,[status(thm)],[f_16_5]) ).
fof(f_17_1,plain,
( ? [A] :
! [B] :
( ( r2_hidden(B,A)
| ! [C] :
( ~ p1_s1_tarski(C,B)
| ~ r2_hidden(C,f1_s1_tarski) ) )
& ( ? [C] :
( p1_s1_tarski(C,B)
& r2_hidden(C,f1_s1_tarski) )
| ~ r2_hidden(B,A) ) )
| ? [A,B,C] :
( B != C
& p1_s1_tarski(A,C)
& p1_s1_tarski(A,B) ) ),
inference(fof_nnf,[status(thm)],[s1_tarski]) ).
fof(f_17_2,plain,
( ? [U_102] :
! [U_101] :
( ( r2_hidden(U_101,U_102)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_101)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ( ? [U_99] :
( p1_s1_tarski(U_99,U_101)
& r2_hidden(U_99,f1_s1_tarski) )
| ~ r2_hidden(U_101,U_102) ) )
| ? [U_98,U_97,U_96] :
( U_97 != U_96
& p1_s1_tarski(U_98,U_96)
& p1_s1_tarski(U_98,U_97) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ? [U_102] :
( ! [U_104] :
( r2_hidden(U_104,U_102)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ! [U_103] :
( ? [U_99] :
( p1_s1_tarski(U_99,U_103)
& r2_hidden(U_99,f1_s1_tarski) )
| ~ r2_hidden(U_103,U_102) ) )
| ? [U_98,U_97,U_96] :
( U_97 != U_96
& p1_s1_tarski(U_98,U_96)
& p1_s1_tarski(U_98,U_97) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ? [U_102] :
( ! [U_104] :
( r2_hidden(U_104,U_102)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ! [U_103] :
( ? [U_99] :
( p1_s1_tarski(U_99,U_103)
& r2_hidden(U_99,f1_s1_tarski) )
| ~ r2_hidden(U_103,U_102) ) )
| ? [U_97,U_96] :
( U_97 != U_96
& p1_s1_tarski(sK24,U_96)
& p1_s1_tarski(sK24,U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_98,sK24)],[f_17_3]) ).
fof(f_17_5,plain,
( ? [U_102] :
( ! [U_104] :
( r2_hidden(U_104,U_102)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ! [U_103] :
( ? [U_99] :
( p1_s1_tarski(U_99,U_103)
& r2_hidden(U_99,f1_s1_tarski) )
| ~ r2_hidden(U_103,U_102) ) )
| ? [U_96] :
( sK25 != U_96
& p1_s1_tarski(sK24,U_96)
& p1_s1_tarski(sK24,sK25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_97,sK25)],[f_17_4]) ).
fof(f_17_6,plain,
( ? [U_102] :
( ! [U_104] :
( r2_hidden(U_104,U_102)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ! [U_103] :
( ? [U_99] :
( p1_s1_tarski(U_99,U_103)
& r2_hidden(U_99,f1_s1_tarski) )
| ~ r2_hidden(U_103,U_102) ) )
| ( sK25 != sK26
& p1_s1_tarski(sK24,sK26)
& p1_s1_tarski(sK24,sK25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_96,sK26)],[f_17_5]) ).
fof(f_17_7,plain,
( ( ! [U_104] :
( r2_hidden(U_104,sK27)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ! [U_103] :
( ? [U_99] :
( p1_s1_tarski(U_99,U_103)
& r2_hidden(U_99,f1_s1_tarski) )
| ~ r2_hidden(U_103,sK27) ) )
| ( sK25 != sK26
& p1_s1_tarski(sK24,sK26)
& p1_s1_tarski(sK24,sK25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_102,sK27)],[f_17_6]) ).
fof(f_17_8,plain,
( ( ! [U_104] :
( r2_hidden(U_104,sK27)
| ! [U_100] :
( ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski) ) )
& ! [U_103] :
( ( p1_s1_tarski(sK28(U_103),U_103)
& r2_hidden(sK28(U_103),f1_s1_tarski) )
| ~ r2_hidden(U_103,sK27) ) )
| ( sK25 != sK26
& p1_s1_tarski(sK24,sK26)
& p1_s1_tarski(sK24,sK25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_99,sK28(U_103))],[f_17_7]) ).
fof(f_17_9,plain,
( ! [U_103] :
( p1_s1_tarski(sK28(U_103),U_103)
| ~ sP26(U_103) )
& ! [U_103] :
( r2_hidden(sK28(U_103),f1_s1_tarski)
| ~ sP26(U_103) )
& ! [U_104,U_103,U_100] :
( r2_hidden(U_104,sK27)
| ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski)
| ~ sP27(U_104,U_103,U_100) )
& ! [U_104,U_103,U_100] :
( sP26(U_103)
| ~ r2_hidden(U_103,sK27)
| ~ sP27(U_104,U_103,U_100) )
& ( sK25 != sK26
| ~ sP25 )
& ( p1_s1_tarski(sK24,sK26)
| ~ sP25 )
& ( p1_s1_tarski(sK24,sK25)
| ~ sP25 )
& ! [U_104,U_103,U_100] :
( sP27(U_104,U_103,U_100)
| sP25 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP25,sP26,sP27])],[f_17_8]) ).
cnf(f_17_10,plain,
( sP27(U_104,U_103,U_100)
| sP25 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_11,plain,
( p1_s1_tarski(sK24,sK25)
| ~ sP25 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_12,plain,
( p1_s1_tarski(sK24,sK26)
| ~ sP25 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_13,plain,
( sK25 != sK26
| ~ sP25 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_14,plain,
( sP26(U_103)
| ~ r2_hidden(U_103,sK27)
| ~ sP27(U_104,U_103,U_100) ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_15,plain,
( r2_hidden(U_104,sK27)
| ~ p1_s1_tarski(U_100,U_104)
| ~ r2_hidden(U_100,f1_s1_tarski)
| ~ sP27(U_104,U_103,U_100) ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_16,plain,
( r2_hidden(sK28(U_103),f1_s1_tarski)
| ~ sP26(U_103) ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_17,plain,
( p1_s1_tarski(sK28(U_103),U_103)
| ~ sP26(U_103) ),
inference(clausify,[status(thm)],[f_17_9]) ).
fof(f_18_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_18_2,plain,
! [U_106,U_105] : r1_tarski(U_106,U_106),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_106] : r1_tarski(U_106,U_106),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
! [U_106] : r1_tarski(U_106,U_106),
inference(definitional_conversion,[status(esa)],[f_18_3]) ).
cnf(f_18_5,plain,
r1_tarski(U_106,U_106),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_19_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_tarski]) ).
fof(f_19_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,plain,
$true,
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_tarski]) ).
fof(f_20_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_20_1]) ).
cnf(f_20_3,plain,
$true,
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A,B] : k2_tarski(A,B) = k2_tarski(B,A),
inference(fof_nnf,[status(thm)],[commutativity_k2_tarski]) ).
fof(f_21_2,plain,
! [U_108,U_107] : k2_tarski(U_108,U_107) = k2_tarski(U_107,U_108),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_108,U_107] : k2_tarski(U_108,U_107) = k2_tarski(U_107,U_108),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
k2_tarski(U_108,U_107) = k2_tarski(U_107,U_108),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_tarski]) ).
fof(f_22_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_22_1]) ).
cnf(f_22_3,plain,
$true,
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k4_tarski]) ).
fof(f_23_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_23_1]) ).
cnf(f_23_3,plain,
$true,
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
v1_xboole_0(k1_xboole_0),
inference(fof_nnf,[status(thm)],[fc1_xboole_0]) ).
fof(f_24_2,plain,
v1_xboole_0(k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_24_1]) ).
cnf(f_24_3,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
? [A] : v1_xboole_0(A),
inference(fof_nnf,[status(thm)],[rc1_xboole_0]) ).
fof(f_25_2,plain,
? [U_109] : v1_xboole_0(U_109),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
v1_xboole_0(sK29),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_109,sK29)],[f_25_2]) ).
fof(f_25_4,plain,
v1_xboole_0(sK29),
inference(definitional_conversion,[status(esa)],[f_25_3]) ).
cnf(f_25_5,plain,
v1_xboole_0(sK29),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
? [A] : ~ v1_xboole_0(A),
inference(fof_nnf,[status(thm)],[rc2_xboole_0]) ).
fof(f_26_2,plain,
? [U_110] : ~ v1_xboole_0(U_110),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
~ v1_xboole_0(sK30),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_110,sK30)],[f_26_2]) ).
fof(f_26_4,plain,
~ v1_xboole_0(sK30),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_5,plain,
~ v1_xboole_0(sK30),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
! [A,B] :
( ~ v1_xboole_0(k2_xboole_0(A,B))
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_xboole_0]) ).
fof(f_27_2,plain,
! [U_112,U_111] :
( ~ v1_xboole_0(k2_xboole_0(U_112,U_111))
| v1_xboole_0(U_112) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_112] :
( ! [U_111] : ~ v1_xboole_0(k2_xboole_0(U_112,U_111))
| v1_xboole_0(U_112) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
! [U_112,U_111] :
( ~ v1_xboole_0(k2_xboole_0(U_112,U_111))
| v1_xboole_0(U_112) ),
inference(definitional_conversion,[status(esa)],[f_27_3]) ).
cnf(f_27_5,plain,
( ~ v1_xboole_0(k2_xboole_0(U_112,U_111))
| v1_xboole_0(U_112) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [A,B] :
( ~ v1_xboole_0(k2_xboole_0(B,A))
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_xboole_0]) ).
fof(f_28_2,plain,
! [U_114,U_113] :
( ~ v1_xboole_0(k2_xboole_0(U_113,U_114))
| v1_xboole_0(U_114) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_114] :
( ! [U_113] : ~ v1_xboole_0(k2_xboole_0(U_113,U_114))
| v1_xboole_0(U_114) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
! [U_114,U_113] :
( ~ v1_xboole_0(k2_xboole_0(U_113,U_114))
| v1_xboole_0(U_114) ),
inference(definitional_conversion,[status(esa)],[f_28_3]) ).
cnf(f_28_5,plain,
( ~ v1_xboole_0(k2_xboole_0(U_113,U_114))
| v1_xboole_0(U_114) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
! [A] :
( ( A = k1_xboole_0
| ? [B] : r2_hidden(B,A) )
& ( ! [B] : ~ r2_hidden(B,A)
| A != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[d1_xboole_0]) ).
fof(f_29_2,plain,
! [U_117] :
( ( U_117 = k1_xboole_0
| ? [U_116] : r2_hidden(U_116,U_117) )
& ( ! [U_115] : ~ r2_hidden(U_115,U_117)
| U_117 != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_119] :
( U_119 = k1_xboole_0
| ? [U_116] : r2_hidden(U_116,U_119) )
& ! [U_118] :
( ! [U_115] : ~ r2_hidden(U_115,U_118)
| U_118 != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_119] :
( U_119 = k1_xboole_0
| r2_hidden(sK31(U_119),U_119) )
& ! [U_118] :
( ! [U_115] : ~ r2_hidden(U_115,U_118)
| U_118 != k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_116,sK31(U_119))],[f_29_3]) ).
fof(f_29_5,plain,
( ! [U_119] :
( U_119 = k1_xboole_0
| r2_hidden(sK31(U_119),U_119) )
& ! [U_115,U_118] :
( ~ r2_hidden(U_115,U_118)
| U_118 != k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa)],[f_29_4]) ).
cnf(f_29_6,plain,
( ~ r2_hidden(U_115,U_118)
| U_118 != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_7,plain,
( U_119 = k1_xboole_0
| r2_hidden(sK31(U_119),U_119) ),
inference(clausify,[status(thm)],[f_29_5]) ).
fof(f_30_1,plain,
! [A,B,C] :
( ( C = k2_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ( r2_hidden(D,B)
| r2_hidden(D,A) ) )
| ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A)
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,A) ) )
& ( r2_hidden(D,B)
| r2_hidden(D,A)
| ~ r2_hidden(D,C) ) )
| C != k2_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[d2_xboole_0]) ).
fof(f_30_2,plain,
! [U_124,U_123,U_122] :
( ( U_122 = k2_xboole_0(U_124,U_123)
| ? [U_121] :
( ( ~ r2_hidden(U_121,U_122)
& ( r2_hidden(U_121,U_123)
| r2_hidden(U_121,U_124) ) )
| ( ~ r2_hidden(U_121,U_123)
& ~ r2_hidden(U_121,U_124)
& r2_hidden(U_121,U_122) ) ) )
& ( ! [U_120] :
( ( r2_hidden(U_120,U_122)
| ( ~ r2_hidden(U_120,U_123)
& ~ r2_hidden(U_120,U_124) ) )
& ( r2_hidden(U_120,U_123)
| r2_hidden(U_120,U_124)
| ~ r2_hidden(U_120,U_122) ) )
| U_122 != k2_xboole_0(U_124,U_123) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_134,U_132,U_130] :
( U_130 = k2_xboole_0(U_134,U_132)
| ? [U_128] :
( ~ r2_hidden(U_128,U_130)
& ( r2_hidden(U_128,U_132)
| r2_hidden(U_128,U_134) ) )
| ? [U_127] :
( ~ r2_hidden(U_127,U_132)
& ~ r2_hidden(U_127,U_134)
& r2_hidden(U_127,U_130) ) )
& ! [U_133,U_131,U_129] :
( ( ! [U_126] :
( r2_hidden(U_126,U_129)
| ( ~ r2_hidden(U_126,U_131)
& ~ r2_hidden(U_126,U_133) ) )
& ! [U_125] :
( r2_hidden(U_125,U_131)
| r2_hidden(U_125,U_133)
| ~ r2_hidden(U_125,U_129) ) )
| U_129 != k2_xboole_0(U_133,U_131) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_134,U_132,U_130] :
( U_130 = k2_xboole_0(U_134,U_132)
| ? [U_128] :
( ~ r2_hidden(U_128,U_130)
& ( r2_hidden(U_128,U_132)
| r2_hidden(U_128,U_134) ) )
| ( ~ r2_hidden(sK32(U_134,U_132,U_130),U_132)
& ~ r2_hidden(sK32(U_134,U_132,U_130),U_134)
& r2_hidden(sK32(U_134,U_132,U_130),U_130) ) )
& ! [U_133,U_131,U_129] :
( ( ! [U_126] :
( r2_hidden(U_126,U_129)
| ( ~ r2_hidden(U_126,U_131)
& ~ r2_hidden(U_126,U_133) ) )
& ! [U_125] :
( r2_hidden(U_125,U_131)
| r2_hidden(U_125,U_133)
| ~ r2_hidden(U_125,U_129) ) )
| U_129 != k2_xboole_0(U_133,U_131) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_127,sK32(U_134,U_132,U_130))],[f_30_3]) ).
fof(f_30_5,plain,
( ! [U_134,U_132,U_130] :
( U_130 = k2_xboole_0(U_134,U_132)
| ( ~ r2_hidden(sK33(U_134,U_132,U_130),U_130)
& ( r2_hidden(sK33(U_134,U_132,U_130),U_132)
| r2_hidden(sK33(U_134,U_132,U_130),U_134) ) )
| ( ~ r2_hidden(sK32(U_134,U_132,U_130),U_132)
& ~ r2_hidden(sK32(U_134,U_132,U_130),U_134)
& r2_hidden(sK32(U_134,U_132,U_130),U_130) ) )
& ! [U_133,U_131,U_129] :
( ( ! [U_126] :
( r2_hidden(U_126,U_129)
| ( ~ r2_hidden(U_126,U_131)
& ~ r2_hidden(U_126,U_133) ) )
& ! [U_125] :
( r2_hidden(U_125,U_131)
| r2_hidden(U_125,U_133)
| ~ r2_hidden(U_125,U_129) ) )
| U_129 != k2_xboole_0(U_133,U_131) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_128,sK33(U_134,U_132,U_130))],[f_30_4]) ).
fof(f_30_6,plain,
( ! [U_132,U_130,U_134] :
( ~ r2_hidden(sK33(U_134,U_132,U_130),U_130)
| ~ sP31(U_132,U_130,U_134) )
& ! [U_132,U_130,U_134] :
( r2_hidden(sK33(U_134,U_132,U_130),U_132)
| r2_hidden(sK33(U_134,U_132,U_130),U_134)
| ~ sP31(U_132,U_130,U_134) )
& ! [U_132,U_130,U_134] :
( ~ r2_hidden(sK32(U_134,U_132,U_130),U_132)
| ~ sP30(U_132,U_130,U_134) )
& ! [U_132,U_130,U_134] :
( ~ r2_hidden(sK32(U_134,U_132,U_130),U_134)
| ~ sP30(U_132,U_130,U_134) )
& ! [U_132,U_130,U_134] :
( r2_hidden(sK32(U_134,U_132,U_130),U_130)
| ~ sP30(U_132,U_130,U_134) )
& ! [U_133,U_126,U_131] :
( ~ r2_hidden(U_126,U_131)
| ~ sP28(U_133,U_126,U_131) )
& ! [U_133,U_126,U_131] :
( ~ r2_hidden(U_126,U_133)
| ~ sP28(U_133,U_126,U_131) )
& ! [U_133,U_126,U_129,U_125,U_131] :
( r2_hidden(U_126,U_129)
| sP28(U_133,U_126,U_131)
| ~ sP29(U_133,U_126,U_129,U_125,U_131) )
& ! [U_133,U_126,U_129,U_125,U_131] :
( r2_hidden(U_125,U_131)
| r2_hidden(U_125,U_133)
| ~ r2_hidden(U_125,U_129)
| ~ sP29(U_133,U_126,U_129,U_125,U_131) )
& ! [U_132,U_130,U_134] :
( U_130 = k2_xboole_0(U_134,U_132)
| sP31(U_132,U_130,U_134)
| sP30(U_132,U_130,U_134) )
& ! [U_133,U_126,U_129,U_125,U_131] :
( sP29(U_133,U_126,U_129,U_125,U_131)
| U_129 != k2_xboole_0(U_133,U_131) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP28,sP29,sP30,sP31])],[f_30_5]) ).
cnf(f_30_7,plain,
( sP29(U_133,U_126,U_129,U_125,U_131)
| U_129 != k2_xboole_0(U_133,U_131) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_8,plain,
( U_130 = k2_xboole_0(U_134,U_132)
| sP31(U_132,U_130,U_134)
| sP30(U_132,U_130,U_134) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_9,plain,
( r2_hidden(U_125,U_131)
| r2_hidden(U_125,U_133)
| ~ r2_hidden(U_125,U_129)
| ~ sP29(U_133,U_126,U_129,U_125,U_131) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_10,plain,
( r2_hidden(U_126,U_129)
| sP28(U_133,U_126,U_131)
| ~ sP29(U_133,U_126,U_129,U_125,U_131) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_11,plain,
( ~ r2_hidden(U_126,U_133)
| ~ sP28(U_133,U_126,U_131) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_12,plain,
( ~ r2_hidden(U_126,U_131)
| ~ sP28(U_133,U_126,U_131) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_13,plain,
( r2_hidden(sK32(U_134,U_132,U_130),U_130)
| ~ sP30(U_132,U_130,U_134) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_14,plain,
( ~ r2_hidden(sK32(U_134,U_132,U_130),U_134)
| ~ sP30(U_132,U_130,U_134) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_15,plain,
( ~ r2_hidden(sK32(U_134,U_132,U_130),U_132)
| ~ sP30(U_132,U_130,U_134) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_16,plain,
( r2_hidden(sK33(U_134,U_132,U_130),U_132)
| r2_hidden(sK33(U_134,U_132,U_130),U_134)
| ~ sP31(U_132,U_130,U_134) ),
inference(clausify,[status(thm)],[f_30_6]) ).
cnf(f_30_17,plain,
( ~ r2_hidden(sK33(U_134,U_132,U_130),U_130)
| ~ sP31(U_132,U_130,U_134) ),
inference(clausify,[status(thm)],[f_30_6]) ).
fof(f_31_1,plain,
! [A,B,C] :
( ( C = k3_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& r2_hidden(D,B)
& r2_hidden(D,A) )
| ( ( ~ r2_hidden(D,B)
| ~ r2_hidden(D,A) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ~ r2_hidden(D,B)
| ~ r2_hidden(D,A) )
& ( ( r2_hidden(D,B)
& r2_hidden(D,A) )
| ~ r2_hidden(D,C) ) )
| C != k3_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[d3_xboole_0]) ).
fof(f_31_2,plain,
! [U_139,U_138,U_137] :
( ( U_137 = k3_xboole_0(U_139,U_138)
| ? [U_136] :
( ( ~ r2_hidden(U_136,U_137)
& r2_hidden(U_136,U_138)
& r2_hidden(U_136,U_139) )
| ( ( ~ r2_hidden(U_136,U_138)
| ~ r2_hidden(U_136,U_139) )
& r2_hidden(U_136,U_137) ) ) )
& ( ! [U_135] :
( ( r2_hidden(U_135,U_137)
| ~ r2_hidden(U_135,U_138)
| ~ r2_hidden(U_135,U_139) )
& ( ( r2_hidden(U_135,U_138)
& r2_hidden(U_135,U_139) )
| ~ r2_hidden(U_135,U_137) ) )
| U_137 != k3_xboole_0(U_139,U_138) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_149,U_147,U_145] :
( U_145 = k3_xboole_0(U_149,U_147)
| ? [U_143] :
( ~ r2_hidden(U_143,U_145)
& r2_hidden(U_143,U_147)
& r2_hidden(U_143,U_149) )
| ? [U_142] :
( ( ~ r2_hidden(U_142,U_147)
| ~ r2_hidden(U_142,U_149) )
& r2_hidden(U_142,U_145) ) )
& ! [U_148,U_146,U_144] :
( ( ! [U_141] :
( r2_hidden(U_141,U_144)
| ~ r2_hidden(U_141,U_146)
| ~ r2_hidden(U_141,U_148) )
& ! [U_140] :
( ( r2_hidden(U_140,U_146)
& r2_hidden(U_140,U_148) )
| ~ r2_hidden(U_140,U_144) ) )
| U_144 != k3_xboole_0(U_148,U_146) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ! [U_149,U_147,U_145] :
( U_145 = k3_xboole_0(U_149,U_147)
| ? [U_143] :
( ~ r2_hidden(U_143,U_145)
& r2_hidden(U_143,U_147)
& r2_hidden(U_143,U_149) )
| ( ( ~ r2_hidden(sK34(U_149,U_147,U_145),U_147)
| ~ r2_hidden(sK34(U_149,U_147,U_145),U_149) )
& r2_hidden(sK34(U_149,U_147,U_145),U_145) ) )
& ! [U_148,U_146,U_144] :
( ( ! [U_141] :
( r2_hidden(U_141,U_144)
| ~ r2_hidden(U_141,U_146)
| ~ r2_hidden(U_141,U_148) )
& ! [U_140] :
( ( r2_hidden(U_140,U_146)
& r2_hidden(U_140,U_148) )
| ~ r2_hidden(U_140,U_144) ) )
| U_144 != k3_xboole_0(U_148,U_146) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_142,sK34(U_149,U_147,U_145))],[f_31_3]) ).
fof(f_31_5,plain,
( ! [U_149,U_147,U_145] :
( U_145 = k3_xboole_0(U_149,U_147)
| ( ~ r2_hidden(sK35(U_149,U_147,U_145),U_145)
& r2_hidden(sK35(U_149,U_147,U_145),U_147)
& r2_hidden(sK35(U_149,U_147,U_145),U_149) )
| ( ( ~ r2_hidden(sK34(U_149,U_147,U_145),U_147)
| ~ r2_hidden(sK34(U_149,U_147,U_145),U_149) )
& r2_hidden(sK34(U_149,U_147,U_145),U_145) ) )
& ! [U_148,U_146,U_144] :
( ( ! [U_141] :
( r2_hidden(U_141,U_144)
| ~ r2_hidden(U_141,U_146)
| ~ r2_hidden(U_141,U_148) )
& ! [U_140] :
( ( r2_hidden(U_140,U_146)
& r2_hidden(U_140,U_148) )
| ~ r2_hidden(U_140,U_144) ) )
| U_144 != k3_xboole_0(U_148,U_146) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_143,sK35(U_149,U_147,U_145))],[f_31_4]) ).
fof(f_31_6,plain,
( ! [U_145,U_149,U_147] :
( ~ r2_hidden(sK35(U_149,U_147,U_145),U_145)
| ~ sP35(U_145,U_149,U_147) )
& ! [U_145,U_149,U_147] :
( r2_hidden(sK35(U_149,U_147,U_145),U_147)
| ~ sP35(U_145,U_149,U_147) )
& ! [U_145,U_149,U_147] :
( r2_hidden(sK35(U_149,U_147,U_145),U_149)
| ~ sP35(U_145,U_149,U_147) )
& ! [U_145,U_149,U_147] :
( ~ r2_hidden(sK34(U_149,U_147,U_145),U_147)
| ~ r2_hidden(sK34(U_149,U_147,U_145),U_149)
| ~ sP34(U_145,U_149,U_147) )
& ! [U_145,U_149,U_147] :
( r2_hidden(sK34(U_149,U_147,U_145),U_145)
| ~ sP34(U_145,U_149,U_147) )
& ! [U_140,U_146,U_148] :
( r2_hidden(U_140,U_146)
| ~ sP32(U_140,U_146,U_148) )
& ! [U_140,U_146,U_148] :
( r2_hidden(U_140,U_148)
| ~ sP32(U_140,U_146,U_148) )
& ! [U_144,U_141,U_140,U_146,U_148] :
( r2_hidden(U_141,U_144)
| ~ r2_hidden(U_141,U_146)
| ~ r2_hidden(U_141,U_148)
| ~ sP33(U_144,U_141,U_140,U_146,U_148) )
& ! [U_144,U_141,U_140,U_146,U_148] :
( sP32(U_140,U_146,U_148)
| ~ r2_hidden(U_140,U_144)
| ~ sP33(U_144,U_141,U_140,U_146,U_148) )
& ! [U_145,U_149,U_147] :
( U_145 = k3_xboole_0(U_149,U_147)
| sP35(U_145,U_149,U_147)
| sP34(U_145,U_149,U_147) )
& ! [U_144,U_141,U_140,U_146,U_148] :
( sP33(U_144,U_141,U_140,U_146,U_148)
| U_144 != k3_xboole_0(U_148,U_146) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP32,sP33,sP34,sP35])],[f_31_5]) ).
cnf(f_31_7,plain,
( sP33(U_144,U_141,U_140,U_146,U_148)
| U_144 != k3_xboole_0(U_148,U_146) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_8,plain,
( U_145 = k3_xboole_0(U_149,U_147)
| sP35(U_145,U_149,U_147)
| sP34(U_145,U_149,U_147) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_9,plain,
( sP32(U_140,U_146,U_148)
| ~ r2_hidden(U_140,U_144)
| ~ sP33(U_144,U_141,U_140,U_146,U_148) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_10,plain,
( r2_hidden(U_141,U_144)
| ~ r2_hidden(U_141,U_146)
| ~ r2_hidden(U_141,U_148)
| ~ sP33(U_144,U_141,U_140,U_146,U_148) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_11,plain,
( r2_hidden(U_140,U_148)
| ~ sP32(U_140,U_146,U_148) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_12,plain,
( r2_hidden(U_140,U_146)
| ~ sP32(U_140,U_146,U_148) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_13,plain,
( r2_hidden(sK34(U_149,U_147,U_145),U_145)
| ~ sP34(U_145,U_149,U_147) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_14,plain,
( ~ r2_hidden(sK34(U_149,U_147,U_145),U_147)
| ~ r2_hidden(sK34(U_149,U_147,U_145),U_149)
| ~ sP34(U_145,U_149,U_147) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_15,plain,
( r2_hidden(sK35(U_149,U_147,U_145),U_149)
| ~ sP35(U_145,U_149,U_147) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_16,plain,
( r2_hidden(sK35(U_149,U_147,U_145),U_147)
| ~ sP35(U_145,U_149,U_147) ),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_17,plain,
( ~ r2_hidden(sK35(U_149,U_147,U_145),U_145)
| ~ sP35(U_145,U_149,U_147) ),
inference(clausify,[status(thm)],[f_31_6]) ).
fof(f_32_1,plain,
! [A,B,C] :
( ( C = k4_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ~ r2_hidden(D,B)
& r2_hidden(D,A) )
| ( ( r2_hidden(D,B)
| ~ r2_hidden(D,A) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| r2_hidden(D,B)
| ~ r2_hidden(D,A) )
& ( ( ~ r2_hidden(D,B)
& r2_hidden(D,A) )
| ~ r2_hidden(D,C) ) )
| C != k4_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[d4_xboole_0]) ).
fof(f_32_2,plain,
! [U_154,U_153,U_152] :
( ( U_152 = k4_xboole_0(U_154,U_153)
| ? [U_151] :
( ( ~ r2_hidden(U_151,U_152)
& ~ r2_hidden(U_151,U_153)
& r2_hidden(U_151,U_154) )
| ( ( r2_hidden(U_151,U_153)
| ~ r2_hidden(U_151,U_154) )
& r2_hidden(U_151,U_152) ) ) )
& ( ! [U_150] :
( ( r2_hidden(U_150,U_152)
| r2_hidden(U_150,U_153)
| ~ r2_hidden(U_150,U_154) )
& ( ( ~ r2_hidden(U_150,U_153)
& r2_hidden(U_150,U_154) )
| ~ r2_hidden(U_150,U_152) ) )
| U_152 != k4_xboole_0(U_154,U_153) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_164,U_162,U_160] :
( U_160 = k4_xboole_0(U_164,U_162)
| ? [U_158] :
( ~ r2_hidden(U_158,U_160)
& ~ r2_hidden(U_158,U_162)
& r2_hidden(U_158,U_164) )
| ? [U_157] :
( ( r2_hidden(U_157,U_162)
| ~ r2_hidden(U_157,U_164) )
& r2_hidden(U_157,U_160) ) )
& ! [U_163,U_161,U_159] :
( ( ! [U_156] :
( r2_hidden(U_156,U_159)
| r2_hidden(U_156,U_161)
| ~ r2_hidden(U_156,U_163) )
& ! [U_155] :
( ( ~ r2_hidden(U_155,U_161)
& r2_hidden(U_155,U_163) )
| ~ r2_hidden(U_155,U_159) ) )
| U_159 != k4_xboole_0(U_163,U_161) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ! [U_164,U_162,U_160] :
( U_160 = k4_xboole_0(U_164,U_162)
| ? [U_158] :
( ~ r2_hidden(U_158,U_160)
& ~ r2_hidden(U_158,U_162)
& r2_hidden(U_158,U_164) )
| ( ( r2_hidden(sK36(U_164,U_162,U_160),U_162)
| ~ r2_hidden(sK36(U_164,U_162,U_160),U_164) )
& r2_hidden(sK36(U_164,U_162,U_160),U_160) ) )
& ! [U_163,U_161,U_159] :
( ( ! [U_156] :
( r2_hidden(U_156,U_159)
| r2_hidden(U_156,U_161)
| ~ r2_hidden(U_156,U_163) )
& ! [U_155] :
( ( ~ r2_hidden(U_155,U_161)
& r2_hidden(U_155,U_163) )
| ~ r2_hidden(U_155,U_159) ) )
| U_159 != k4_xboole_0(U_163,U_161) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_157,sK36(U_164,U_162,U_160))],[f_32_3]) ).
fof(f_32_5,plain,
( ! [U_164,U_162,U_160] :
( U_160 = k4_xboole_0(U_164,U_162)
| ( ~ r2_hidden(sK37(U_164,U_162,U_160),U_160)
& ~ r2_hidden(sK37(U_164,U_162,U_160),U_162)
& r2_hidden(sK37(U_164,U_162,U_160),U_164) )
| ( ( r2_hidden(sK36(U_164,U_162,U_160),U_162)
| ~ r2_hidden(sK36(U_164,U_162,U_160),U_164) )
& r2_hidden(sK36(U_164,U_162,U_160),U_160) ) )
& ! [U_163,U_161,U_159] :
( ( ! [U_156] :
( r2_hidden(U_156,U_159)
| r2_hidden(U_156,U_161)
| ~ r2_hidden(U_156,U_163) )
& ! [U_155] :
( ( ~ r2_hidden(U_155,U_161)
& r2_hidden(U_155,U_163) )
| ~ r2_hidden(U_155,U_159) ) )
| U_159 != k4_xboole_0(U_163,U_161) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_158,sK37(U_164,U_162,U_160))],[f_32_4]) ).
fof(f_32_6,plain,
( ! [U_160,U_164,U_162] :
( ~ r2_hidden(sK37(U_164,U_162,U_160),U_160)
| ~ sP39(U_160,U_164,U_162) )
& ! [U_160,U_164,U_162] :
( ~ r2_hidden(sK37(U_164,U_162,U_160),U_162)
| ~ sP39(U_160,U_164,U_162) )
& ! [U_160,U_164,U_162] :
( r2_hidden(sK37(U_164,U_162,U_160),U_164)
| ~ sP39(U_160,U_164,U_162) )
& ! [U_160,U_164,U_162] :
( r2_hidden(sK36(U_164,U_162,U_160),U_162)
| ~ r2_hidden(sK36(U_164,U_162,U_160),U_164)
| ~ sP38(U_160,U_164,U_162) )
& ! [U_160,U_164,U_162] :
( r2_hidden(sK36(U_164,U_162,U_160),U_160)
| ~ sP38(U_160,U_164,U_162) )
& ! [U_161,U_163,U_155] :
( ~ r2_hidden(U_155,U_161)
| ~ sP36(U_161,U_163,U_155) )
& ! [U_161,U_163,U_155] :
( r2_hidden(U_155,U_163)
| ~ sP36(U_161,U_163,U_155) )
& ! [U_161,U_163,U_159,U_155,U_156] :
( r2_hidden(U_156,U_159)
| r2_hidden(U_156,U_161)
| ~ r2_hidden(U_156,U_163)
| ~ sP37(U_161,U_163,U_159,U_155,U_156) )
& ! [U_161,U_163,U_159,U_155,U_156] :
( sP36(U_161,U_163,U_155)
| ~ r2_hidden(U_155,U_159)
| ~ sP37(U_161,U_163,U_159,U_155,U_156) )
& ! [U_160,U_164,U_162] :
( U_160 = k4_xboole_0(U_164,U_162)
| sP39(U_160,U_164,U_162)
| sP38(U_160,U_164,U_162) )
& ! [U_161,U_163,U_159,U_155,U_156] :
( sP37(U_161,U_163,U_159,U_155,U_156)
| U_159 != k4_xboole_0(U_163,U_161) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP36,sP37,sP38,sP39])],[f_32_5]) ).
cnf(f_32_7,plain,
( sP37(U_161,U_163,U_159,U_155,U_156)
| U_159 != k4_xboole_0(U_163,U_161) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_8,plain,
( U_160 = k4_xboole_0(U_164,U_162)
| sP39(U_160,U_164,U_162)
| sP38(U_160,U_164,U_162) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_9,plain,
( sP36(U_161,U_163,U_155)
| ~ r2_hidden(U_155,U_159)
| ~ sP37(U_161,U_163,U_159,U_155,U_156) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_10,plain,
( r2_hidden(U_156,U_159)
| r2_hidden(U_156,U_161)
| ~ r2_hidden(U_156,U_163)
| ~ sP37(U_161,U_163,U_159,U_155,U_156) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_11,plain,
( r2_hidden(U_155,U_163)
| ~ sP36(U_161,U_163,U_155) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_12,plain,
( ~ r2_hidden(U_155,U_161)
| ~ sP36(U_161,U_163,U_155) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_13,plain,
( r2_hidden(sK36(U_164,U_162,U_160),U_160)
| ~ sP38(U_160,U_164,U_162) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_14,plain,
( r2_hidden(sK36(U_164,U_162,U_160),U_162)
| ~ r2_hidden(sK36(U_164,U_162,U_160),U_164)
| ~ sP38(U_160,U_164,U_162) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_15,plain,
( r2_hidden(sK37(U_164,U_162,U_160),U_164)
| ~ sP39(U_160,U_164,U_162) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_16,plain,
( ~ r2_hidden(sK37(U_164,U_162,U_160),U_162)
| ~ sP39(U_160,U_164,U_162) ),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_17,plain,
( ~ r2_hidden(sK37(U_164,U_162,U_160),U_160)
| ~ sP39(U_160,U_164,U_162) ),
inference(clausify,[status(thm)],[f_32_6]) ).
fof(f_33_1,plain,
! [A] :
( ( v1_xboole_0(A)
| A != k1_xboole_0 )
& ( A = k1_xboole_0
| ~ v1_xboole_0(A) ) ),
inference(fof_nnf,[status(thm)],[d5_xboole_0]) ).
fof(f_33_2,plain,
! [U_165] :
( ( v1_xboole_0(U_165)
| U_165 != k1_xboole_0 )
& ( U_165 = k1_xboole_0
| ~ v1_xboole_0(U_165) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_167] :
( v1_xboole_0(U_167)
| U_167 != k1_xboole_0 )
& ! [U_166] :
( U_166 = k1_xboole_0
| ~ v1_xboole_0(U_166) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
fof(f_33_4,plain,
( ! [U_167] :
( v1_xboole_0(U_167)
| U_167 != k1_xboole_0 )
& ! [U_166] :
( U_166 = k1_xboole_0
| ~ v1_xboole_0(U_166) ) ),
inference(definitional_conversion,[status(esa)],[f_33_3]) ).
cnf(f_33_5,plain,
( U_166 = k1_xboole_0
| ~ v1_xboole_0(U_166) ),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_6,plain,
( v1_xboole_0(U_167)
| U_167 != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_33_4]) ).
fof(f_34_1,plain,
! [A,B] : k5_xboole_0(A,B) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
inference(fof_nnf,[status(thm)],[d6_xboole_0]) ).
fof(f_34_2,plain,
! [U_169,U_168] : k5_xboole_0(U_169,U_168) = k2_xboole_0(k4_xboole_0(U_169,U_168),k4_xboole_0(U_168,U_169)),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_168,U_169] : k5_xboole_0(U_169,U_168) = k2_xboole_0(k4_xboole_0(U_169,U_168),k4_xboole_0(U_168,U_169)),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
k5_xboole_0(U_169,U_168) = k2_xboole_0(k4_xboole_0(U_169,U_168),k4_xboole_0(U_168,U_169)),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [A,B] :
( ( r1_xboole_0(A,B)
| k3_xboole_0(A,B) != k1_xboole_0 )
& ( k3_xboole_0(A,B) = k1_xboole_0
| ~ r1_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[d7_xboole_0]) ).
fof(f_35_2,plain,
! [U_171,U_170] :
( ( r1_xboole_0(U_171,U_170)
| k3_xboole_0(U_171,U_170) != k1_xboole_0 )
& ( k3_xboole_0(U_171,U_170) = k1_xboole_0
| ~ r1_xboole_0(U_171,U_170) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_175,U_173] :
( r1_xboole_0(U_175,U_173)
| k3_xboole_0(U_175,U_173) != k1_xboole_0 )
& ! [U_174,U_172] :
( k3_xboole_0(U_174,U_172) = k1_xboole_0
| ~ r1_xboole_0(U_174,U_172) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_173,U_175] :
( r1_xboole_0(U_175,U_173)
| k3_xboole_0(U_175,U_173) != k1_xboole_0 )
& ! [U_172,U_174] :
( k3_xboole_0(U_174,U_172) = k1_xboole_0
| ~ r1_xboole_0(U_174,U_172) ) ),
inference(definitional_conversion,[status(esa)],[f_35_3]) ).
cnf(f_35_5,plain,
( k3_xboole_0(U_174,U_172) = k1_xboole_0
| ~ r1_xboole_0(U_174,U_172) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( r1_xboole_0(U_175,U_173)
| k3_xboole_0(U_175,U_173) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [A,B] :
( ( r2_xboole_0(A,B)
| A = B
| ~ r1_tarski(A,B) )
& ( ( A != B
& r1_tarski(A,B) )
| ~ r2_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[d8_xboole_0]) ).
fof(f_36_2,plain,
! [U_177,U_176] :
( ( r2_xboole_0(U_177,U_176)
| U_177 = U_176
| ~ r1_tarski(U_177,U_176) )
& ( ( U_177 != U_176
& r1_tarski(U_177,U_176) )
| ~ r2_xboole_0(U_177,U_176) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_181,U_179] :
( r2_xboole_0(U_181,U_179)
| U_181 = U_179
| ~ r1_tarski(U_181,U_179) )
& ! [U_180,U_178] :
( ( U_180 != U_178
& r1_tarski(U_180,U_178) )
| ~ r2_xboole_0(U_180,U_178) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
( ! [U_178,U_180] :
( U_180 != U_178
| ~ sP40(U_178,U_180) )
& ! [U_178,U_180] :
( r1_tarski(U_180,U_178)
| ~ sP40(U_178,U_180) )
& ! [U_181,U_179] :
( r2_xboole_0(U_181,U_179)
| U_181 = U_179
| ~ r1_tarski(U_181,U_179) )
& ! [U_178,U_180] :
( sP40(U_178,U_180)
| ~ r2_xboole_0(U_180,U_178) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP40])],[f_36_3]) ).
cnf(f_36_5,plain,
( sP40(U_178,U_180)
| ~ r2_xboole_0(U_180,U_178) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_6,plain,
( r2_xboole_0(U_181,U_179)
| U_181 = U_179
| ~ r1_tarski(U_181,U_179) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_7,plain,
( r1_tarski(U_180,U_178)
| ~ sP40(U_178,U_180) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_8,plain,
( U_180 != U_178
| ~ sP40(U_178,U_180) ),
inference(clausify,[status(thm)],[f_36_4]) ).
fof(f_37_1,plain,
! [A,B] :
( ( r3_xboole_0(A,B)
| ( ~ r1_tarski(B,A)
& ~ r1_tarski(A,B) ) )
& ( r1_tarski(B,A)
| r1_tarski(A,B)
| ~ r3_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[d9_xboole_0]) ).
fof(f_37_2,plain,
! [U_183,U_182] :
( ( r3_xboole_0(U_183,U_182)
| ( ~ r1_tarski(U_182,U_183)
& ~ r1_tarski(U_183,U_182) ) )
& ( r1_tarski(U_182,U_183)
| r1_tarski(U_183,U_182)
| ~ r3_xboole_0(U_183,U_182) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_187,U_185] :
( r3_xboole_0(U_187,U_185)
| ( ~ r1_tarski(U_185,U_187)
& ~ r1_tarski(U_187,U_185) ) )
& ! [U_186,U_184] :
( r1_tarski(U_184,U_186)
| r1_tarski(U_186,U_184)
| ~ r3_xboole_0(U_186,U_184) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
( ! [U_187,U_185] :
( ~ r1_tarski(U_185,U_187)
| ~ sP41(U_187,U_185) )
& ! [U_187,U_185] :
( ~ r1_tarski(U_187,U_185)
| ~ sP41(U_187,U_185) )
& ! [U_187,U_185] :
( r3_xboole_0(U_187,U_185)
| sP41(U_187,U_185) )
& ! [U_186,U_184] :
( r1_tarski(U_184,U_186)
| r1_tarski(U_186,U_184)
| ~ r3_xboole_0(U_186,U_184) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP41])],[f_37_3]) ).
cnf(f_37_5,plain,
( r1_tarski(U_184,U_186)
| r1_tarski(U_186,U_184)
| ~ r3_xboole_0(U_186,U_184) ),
inference(clausify,[status(thm)],[f_37_4]) ).
cnf(f_37_6,plain,
( r3_xboole_0(U_187,U_185)
| sP41(U_187,U_185) ),
inference(clausify,[status(thm)],[f_37_4]) ).
cnf(f_37_7,plain,
( ~ r1_tarski(U_187,U_185)
| ~ sP41(U_187,U_185) ),
inference(clausify,[status(thm)],[f_37_4]) ).
cnf(f_37_8,plain,
( ~ r1_tarski(U_185,U_187)
| ~ sP41(U_187,U_185) ),
inference(clausify,[status(thm)],[f_37_4]) ).
fof(f_38_1,plain,
! [A,B] :
( ( A = B
| ~ r1_tarski(B,A)
| ~ r1_tarski(A,B) )
& ( ( r1_tarski(B,A)
& r1_tarski(A,B) )
| A != B ) ),
inference(fof_nnf,[status(thm)],[d10_xboole_0]) ).
fof(f_38_2,plain,
! [U_189,U_188] :
( ( U_189 = U_188
| ~ r1_tarski(U_188,U_189)
| ~ r1_tarski(U_189,U_188) )
& ( ( r1_tarski(U_188,U_189)
& r1_tarski(U_189,U_188) )
| U_189 != U_188 ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_193,U_191] :
( U_193 = U_191
| ~ r1_tarski(U_191,U_193)
| ~ r1_tarski(U_193,U_191) )
& ! [U_192,U_190] :
( ( r1_tarski(U_190,U_192)
& r1_tarski(U_192,U_190) )
| U_192 != U_190 ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_192,U_190] :
( r1_tarski(U_190,U_192)
| ~ sP42(U_192,U_190) )
& ! [U_192,U_190] :
( r1_tarski(U_192,U_190)
| ~ sP42(U_192,U_190) )
& ! [U_191,U_193] :
( U_193 = U_191
| ~ r1_tarski(U_191,U_193)
| ~ r1_tarski(U_193,U_191) )
& ! [U_192,U_190] :
( sP42(U_192,U_190)
| U_192 != U_190 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP42])],[f_38_3]) ).
cnf(f_38_5,plain,
( sP42(U_192,U_190)
| U_192 != U_190 ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_6,plain,
( U_193 = U_191
| ~ r1_tarski(U_191,U_193)
| ~ r1_tarski(U_193,U_191) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_7,plain,
( r1_tarski(U_192,U_190)
| ~ sP42(U_192,U_190) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_8,plain,
( r1_tarski(U_190,U_192)
| ~ sP42(U_192,U_190) ),
inference(clausify,[status(thm)],[f_38_4]) ).
fof(f_39_1,plain,
! [A,B,C] :
( ( r2_hidden(A,k5_xboole_0(B,C))
| ( ( r2_hidden(A,B)
| ~ r2_hidden(A,C) )
& ( r2_hidden(A,C)
| ~ r2_hidden(A,B) ) ) )
& ( ( ~ r2_hidden(A,B)
& r2_hidden(A,C) )
| ( ~ r2_hidden(A,C)
& r2_hidden(A,B) )
| ~ r2_hidden(A,k5_xboole_0(B,C)) ) ),
inference(fof_nnf,[status(thm)],[t1_xboole_0]) ).
fof(f_39_2,plain,
! [U_196,U_195,U_194] :
( ( r2_hidden(U_196,k5_xboole_0(U_195,U_194))
| ( ( r2_hidden(U_196,U_195)
| ~ r2_hidden(U_196,U_194) )
& ( r2_hidden(U_196,U_194)
| ~ r2_hidden(U_196,U_195) ) ) )
& ( ( ~ r2_hidden(U_196,U_195)
& r2_hidden(U_196,U_194) )
| ( ~ r2_hidden(U_196,U_194)
& r2_hidden(U_196,U_195) )
| ~ r2_hidden(U_196,k5_xboole_0(U_195,U_194)) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_202,U_200,U_198] :
( r2_hidden(U_202,k5_xboole_0(U_200,U_198))
| ( ( r2_hidden(U_202,U_200)
| ~ r2_hidden(U_202,U_198) )
& ( r2_hidden(U_202,U_198)
| ~ r2_hidden(U_202,U_200) ) ) )
& ! [U_201,U_199,U_197] :
( ( ~ r2_hidden(U_201,U_199)
& r2_hidden(U_201,U_197) )
| ( ~ r2_hidden(U_201,U_197)
& r2_hidden(U_201,U_199) )
| ~ r2_hidden(U_201,k5_xboole_0(U_199,U_197)) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
fof(f_39_4,plain,
( ! [U_200,U_198,U_202] :
( r2_hidden(U_202,U_200)
| ~ r2_hidden(U_202,U_198)
| ~ sP45(U_200,U_198,U_202) )
& ! [U_200,U_198,U_202] :
( r2_hidden(U_202,U_198)
| ~ r2_hidden(U_202,U_200)
| ~ sP45(U_200,U_198,U_202) )
& ! [U_199,U_197,U_201] :
( ~ r2_hidden(U_201,U_199)
| ~ sP44(U_199,U_197,U_201) )
& ! [U_199,U_197,U_201] :
( r2_hidden(U_201,U_197)
| ~ sP44(U_199,U_197,U_201) )
& ! [U_199,U_197,U_201] :
( ~ r2_hidden(U_201,U_197)
| ~ sP43(U_199,U_197,U_201) )
& ! [U_199,U_197,U_201] :
( r2_hidden(U_201,U_199)
| ~ sP43(U_199,U_197,U_201) )
& ! [U_200,U_198,U_202] :
( r2_hidden(U_202,k5_xboole_0(U_200,U_198))
| sP45(U_200,U_198,U_202) )
& ! [U_199,U_197,U_201] :
( sP44(U_199,U_197,U_201)
| sP43(U_199,U_197,U_201)
| ~ r2_hidden(U_201,k5_xboole_0(U_199,U_197)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP43,sP44,sP45])],[f_39_3]) ).
cnf(f_39_5,plain,
( sP44(U_199,U_197,U_201)
| sP43(U_199,U_197,U_201)
| ~ r2_hidden(U_201,k5_xboole_0(U_199,U_197)) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_6,plain,
( r2_hidden(U_202,k5_xboole_0(U_200,U_198))
| sP45(U_200,U_198,U_202) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_7,plain,
( r2_hidden(U_201,U_199)
| ~ sP43(U_199,U_197,U_201) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_8,plain,
( ~ r2_hidden(U_201,U_197)
| ~ sP43(U_199,U_197,U_201) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_9,plain,
( r2_hidden(U_201,U_197)
| ~ sP44(U_199,U_197,U_201) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_10,plain,
( ~ r2_hidden(U_201,U_199)
| ~ sP44(U_199,U_197,U_201) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_11,plain,
( r2_hidden(U_202,U_198)
| ~ r2_hidden(U_202,U_200)
| ~ sP45(U_200,U_198,U_202) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_12,plain,
( r2_hidden(U_202,U_200)
| ~ r2_hidden(U_202,U_198)
| ~ sP45(U_200,U_198,U_202) ),
inference(clausify,[status(thm)],[f_39_4]) ).
fof(f_40_1,plain,
! [A,B,C] :
( A = k5_xboole_0(B,C)
| ? [D] :
( ( r2_hidden(D,A)
& ( r2_hidden(D,B)
| ~ r2_hidden(D,C) )
& ( r2_hidden(D,C)
| ~ r2_hidden(D,B) ) )
| ( ( ( ~ r2_hidden(D,B)
& r2_hidden(D,C) )
| ( ~ r2_hidden(D,C)
& r2_hidden(D,B) ) )
& ~ r2_hidden(D,A) ) ) ),
inference(fof_nnf,[status(thm)],[t2_xboole_0]) ).
fof(f_40_2,plain,
! [U_206,U_205,U_204] :
( U_206 = k5_xboole_0(U_205,U_204)
| ? [U_203] :
( ( r2_hidden(U_203,U_206)
& ( r2_hidden(U_203,U_205)
| ~ r2_hidden(U_203,U_204) )
& ( r2_hidden(U_203,U_204)
| ~ r2_hidden(U_203,U_205) ) )
| ( ( ( ~ r2_hidden(U_203,U_205)
& r2_hidden(U_203,U_204) )
| ( ~ r2_hidden(U_203,U_204)
& r2_hidden(U_203,U_205) ) )
& ~ r2_hidden(U_203,U_206) ) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
! [U_206,U_205,U_204] :
( U_206 = k5_xboole_0(U_205,U_204)
| ? [U_208] :
( r2_hidden(U_208,U_206)
& ( r2_hidden(U_208,U_205)
| ~ r2_hidden(U_208,U_204) )
& ( r2_hidden(U_208,U_204)
| ~ r2_hidden(U_208,U_205) ) )
| ? [U_207] :
( ( ( ~ r2_hidden(U_207,U_205)
& r2_hidden(U_207,U_204) )
| ( ~ r2_hidden(U_207,U_204)
& r2_hidden(U_207,U_205) ) )
& ~ r2_hidden(U_207,U_206) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
! [U_206,U_205,U_204] :
( U_206 = k5_xboole_0(U_205,U_204)
| ? [U_208] :
( r2_hidden(U_208,U_206)
& ( r2_hidden(U_208,U_205)
| ~ r2_hidden(U_208,U_204) )
& ( r2_hidden(U_208,U_204)
| ~ r2_hidden(U_208,U_205) ) )
| ( ( ( ~ r2_hidden(sK38(U_206,U_205,U_204),U_205)
& r2_hidden(sK38(U_206,U_205,U_204),U_204) )
| ( ~ r2_hidden(sK38(U_206,U_205,U_204),U_204)
& r2_hidden(sK38(U_206,U_205,U_204),U_205) ) )
& ~ r2_hidden(sK38(U_206,U_205,U_204),U_206) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_207,sK38(U_206,U_205,U_204))],[f_40_3]) ).
fof(f_40_5,plain,
! [U_206,U_205,U_204] :
( U_206 = k5_xboole_0(U_205,U_204)
| ( r2_hidden(sK39(U_206,U_205,U_204),U_206)
& ( r2_hidden(sK39(U_206,U_205,U_204),U_205)
| ~ r2_hidden(sK39(U_206,U_205,U_204),U_204) )
& ( r2_hidden(sK39(U_206,U_205,U_204),U_204)
| ~ r2_hidden(sK39(U_206,U_205,U_204),U_205) ) )
| ( ( ( ~ r2_hidden(sK38(U_206,U_205,U_204),U_205)
& r2_hidden(sK38(U_206,U_205,U_204),U_204) )
| ( ~ r2_hidden(sK38(U_206,U_205,U_204),U_204)
& r2_hidden(sK38(U_206,U_205,U_204),U_205) ) )
& ~ r2_hidden(sK38(U_206,U_205,U_204),U_206) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_208,sK39(U_206,U_205,U_204))],[f_40_4]) ).
fof(f_40_6,plain,
( ! [U_205,U_206,U_204] :
( r2_hidden(sK39(U_206,U_205,U_204),U_206)
| ~ sP49(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( r2_hidden(sK39(U_206,U_205,U_204),U_205)
| ~ r2_hidden(sK39(U_206,U_205,U_204),U_204)
| ~ sP49(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( r2_hidden(sK39(U_206,U_205,U_204),U_204)
| ~ r2_hidden(sK39(U_206,U_205,U_204),U_205)
| ~ sP49(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( ~ r2_hidden(sK38(U_206,U_205,U_204),U_205)
| ~ sP47(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( r2_hidden(sK38(U_206,U_205,U_204),U_204)
| ~ sP47(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( ~ r2_hidden(sK38(U_206,U_205,U_204),U_204)
| ~ sP46(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( r2_hidden(sK38(U_206,U_205,U_204),U_205)
| ~ sP46(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( sP47(U_205,U_206,U_204)
| sP46(U_205,U_206,U_204)
| ~ sP48(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( ~ r2_hidden(sK38(U_206,U_205,U_204),U_206)
| ~ sP48(U_205,U_206,U_204) )
& ! [U_205,U_206,U_204] :
( U_206 = k5_xboole_0(U_205,U_204)
| sP49(U_205,U_206,U_204)
| sP48(U_205,U_206,U_204) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP46,sP47,sP48,sP49])],[f_40_5]) ).
cnf(f_40_7,plain,
( U_206 = k5_xboole_0(U_205,U_204)
| sP49(U_205,U_206,U_204)
| sP48(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_8,plain,
( ~ r2_hidden(sK38(U_206,U_205,U_204),U_206)
| ~ sP48(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_9,plain,
( sP47(U_205,U_206,U_204)
| sP46(U_205,U_206,U_204)
| ~ sP48(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_10,plain,
( r2_hidden(sK38(U_206,U_205,U_204),U_205)
| ~ sP46(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_11,plain,
( ~ r2_hidden(sK38(U_206,U_205,U_204),U_204)
| ~ sP46(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_12,plain,
( r2_hidden(sK38(U_206,U_205,U_204),U_204)
| ~ sP47(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_13,plain,
( ~ r2_hidden(sK38(U_206,U_205,U_204),U_205)
| ~ sP47(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_14,plain,
( r2_hidden(sK39(U_206,U_205,U_204),U_204)
| ~ r2_hidden(sK39(U_206,U_205,U_204),U_205)
| ~ sP49(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_15,plain,
( r2_hidden(sK39(U_206,U_205,U_204),U_205)
| ~ r2_hidden(sK39(U_206,U_205,U_204),U_204)
| ~ sP49(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
cnf(f_40_16,plain,
( r2_hidden(sK39(U_206,U_205,U_204),U_206)
| ~ sP49(U_205,U_206,U_204) ),
inference(clausify,[status(thm)],[f_40_6]) ).
fof(f_41_1,plain,
! [A,B] :
( ( ~ r1_xboole_0(A,B)
| ! [C] :
( ~ r2_hidden(C,B)
| ~ r2_hidden(C,A) ) )
& ( ? [C] :
( r2_hidden(C,B)
& r2_hidden(C,A) )
| r1_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[t3_xboole_0]) ).
fof(f_41_2,plain,
! [U_212,U_211] :
( ( ~ r1_xboole_0(U_212,U_211)
| ! [U_210] :
( ~ r2_hidden(U_210,U_211)
| ~ r2_hidden(U_210,U_212) ) )
& ( ? [U_209] :
( r2_hidden(U_209,U_211)
& r2_hidden(U_209,U_212) )
| r1_xboole_0(U_212,U_211) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_216,U_214] :
( ~ r1_xboole_0(U_216,U_214)
| ! [U_210] :
( ~ r2_hidden(U_210,U_214)
| ~ r2_hidden(U_210,U_216) ) )
& ! [U_215,U_213] :
( ? [U_209] :
( r2_hidden(U_209,U_213)
& r2_hidden(U_209,U_215) )
| r1_xboole_0(U_215,U_213) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
fof(f_41_4,plain,
( ! [U_216,U_214] :
( ~ r1_xboole_0(U_216,U_214)
| ! [U_210] :
( ~ r2_hidden(U_210,U_214)
| ~ r2_hidden(U_210,U_216) ) )
& ! [U_215,U_213] :
( ( r2_hidden(sK40(U_215,U_213),U_213)
& r2_hidden(sK40(U_215,U_213),U_215) )
| r1_xboole_0(U_215,U_213) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_209,sK40(U_215,U_213))],[f_41_3]) ).
fof(f_41_5,plain,
( ! [U_215,U_213] :
( r2_hidden(sK40(U_215,U_213),U_213)
| ~ sP50(U_215,U_213) )
& ! [U_215,U_213] :
( r2_hidden(sK40(U_215,U_213),U_215)
| ~ sP50(U_215,U_213) )
& ! [U_214,U_216,U_210] :
( ~ r1_xboole_0(U_216,U_214)
| ~ r2_hidden(U_210,U_214)
| ~ r2_hidden(U_210,U_216) )
& ! [U_215,U_213] :
( sP50(U_215,U_213)
| r1_xboole_0(U_215,U_213) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP50])],[f_41_4]) ).
cnf(f_41_6,plain,
( sP50(U_215,U_213)
| r1_xboole_0(U_215,U_213) ),
inference(clausify,[status(thm)],[f_41_5]) ).
cnf(f_41_7,plain,
( ~ r1_xboole_0(U_216,U_214)
| ~ r2_hidden(U_210,U_214)
| ~ r2_hidden(U_210,U_216) ),
inference(clausify,[status(thm)],[f_41_5]) ).
cnf(f_41_8,plain,
( r2_hidden(sK40(U_215,U_213),U_215)
| ~ sP50(U_215,U_213) ),
inference(clausify,[status(thm)],[f_41_5]) ).
cnf(f_41_9,plain,
( r2_hidden(sK40(U_215,U_213),U_213)
| ~ sP50(U_215,U_213) ),
inference(clausify,[status(thm)],[f_41_5]) ).
fof(f_42_1,plain,
! [A,B] :
( ( ~ r1_xboole_0(A,B)
| ! [C] : ~ r2_hidden(C,k3_xboole_0(A,B)) )
& ( ? [C] : r2_hidden(C,k3_xboole_0(A,B))
| r1_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[t4_xboole_0]) ).
fof(f_42_2,plain,
! [U_220,U_219] :
( ( ~ r1_xboole_0(U_220,U_219)
| ! [U_218] : ~ r2_hidden(U_218,k3_xboole_0(U_220,U_219)) )
& ( ? [U_217] : r2_hidden(U_217,k3_xboole_0(U_220,U_219))
| r1_xboole_0(U_220,U_219) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_224,U_222] :
( ~ r1_xboole_0(U_224,U_222)
| ! [U_218] : ~ r2_hidden(U_218,k3_xboole_0(U_224,U_222)) )
& ! [U_223,U_221] :
( ? [U_217] : r2_hidden(U_217,k3_xboole_0(U_223,U_221))
| r1_xboole_0(U_223,U_221) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [U_224,U_222] :
( ~ r1_xboole_0(U_224,U_222)
| ! [U_218] : ~ r2_hidden(U_218,k3_xboole_0(U_224,U_222)) )
& ! [U_223,U_221] :
( r2_hidden(sK41(U_223,U_221),k3_xboole_0(U_223,U_221))
| r1_xboole_0(U_223,U_221) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_217,sK41(U_223,U_221))],[f_42_3]) ).
fof(f_42_5,plain,
( ! [U_222,U_218,U_224] :
( ~ r1_xboole_0(U_224,U_222)
| ~ r2_hidden(U_218,k3_xboole_0(U_224,U_222)) )
& ! [U_221,U_223] :
( r2_hidden(sK41(U_223,U_221),k3_xboole_0(U_223,U_221))
| r1_xboole_0(U_223,U_221) ) ),
inference(definitional_conversion,[status(esa)],[f_42_4]) ).
cnf(f_42_6,plain,
( r2_hidden(sK41(U_223,U_221),k3_xboole_0(U_223,U_221))
| r1_xboole_0(U_223,U_221) ),
inference(clausify,[status(thm)],[f_42_5]) ).
cnf(f_42_7,plain,
( ~ r1_xboole_0(U_224,U_222)
| ~ r2_hidden(U_218,k3_xboole_0(U_224,U_222)) ),
inference(clausify,[status(thm)],[f_42_5]) ).
fof(f_43_1,plain,
! [A,B,C] :
( ( ~ r2_hidden(C,A)
& r2_hidden(C,B) )
| ( ~ r2_hidden(C,B)
& r2_hidden(C,A) )
| ~ r2_hidden(C,k2_xboole_0(A,B))
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t5_xboole_0]) ).
fof(f_43_2,plain,
! [U_227,U_226,U_225] :
( ( ~ r2_hidden(U_225,U_227)
& r2_hidden(U_225,U_226) )
| ( ~ r2_hidden(U_225,U_226)
& r2_hidden(U_225,U_227) )
| ~ r2_hidden(U_225,k2_xboole_0(U_227,U_226))
| ~ r1_xboole_0(U_227,U_226) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_227,U_226] :
( ! [U_225] :
( ( ~ r2_hidden(U_225,U_227)
& r2_hidden(U_225,U_226) )
| ( ~ r2_hidden(U_225,U_226)
& r2_hidden(U_225,U_227) )
| ~ r2_hidden(U_225,k2_xboole_0(U_227,U_226)) )
| ~ r1_xboole_0(U_227,U_226) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
fof(f_43_4,plain,
( ! [U_226,U_227,U_225] :
( ~ r2_hidden(U_225,U_227)
| ~ sP52(U_226,U_227,U_225) )
& ! [U_226,U_227,U_225] :
( r2_hidden(U_225,U_226)
| ~ sP52(U_226,U_227,U_225) )
& ! [U_226,U_227,U_225] :
( ~ r2_hidden(U_225,U_226)
| ~ sP51(U_226,U_227,U_225) )
& ! [U_226,U_227,U_225] :
( r2_hidden(U_225,U_227)
| ~ sP51(U_226,U_227,U_225) )
& ! [U_226,U_227,U_225] :
( sP52(U_226,U_227,U_225)
| sP51(U_226,U_227,U_225)
| ~ r2_hidden(U_225,k2_xboole_0(U_227,U_226))
| ~ r1_xboole_0(U_227,U_226) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP51,sP52])],[f_43_3]) ).
cnf(f_43_5,plain,
( sP52(U_226,U_227,U_225)
| sP51(U_226,U_227,U_225)
| ~ r2_hidden(U_225,k2_xboole_0(U_227,U_226))
| ~ r1_xboole_0(U_227,U_226) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_6,plain,
( r2_hidden(U_225,U_227)
| ~ sP51(U_226,U_227,U_225) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_7,plain,
( ~ r2_hidden(U_225,U_226)
| ~ sP51(U_226,U_227,U_225) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_8,plain,
( r2_hidden(U_225,U_226)
| ~ sP52(U_226,U_227,U_225) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_9,plain,
( ~ r2_hidden(U_225,U_227)
| ~ sP52(U_226,U_227,U_225) ),
inference(clausify,[status(thm)],[f_43_4]) ).
fof(f_44_1,plain,
? [A] :
! [B] :
( ( r2_hidden(B,A)
| ~ p1_s1_xboole_0(B)
| ~ r2_hidden(B,f1_s1_xboole_0) )
& ( ( p1_s1_xboole_0(B)
& r2_hidden(B,f1_s1_xboole_0) )
| ~ r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[s1_xboole_0]) ).
fof(f_44_2,plain,
? [U_229] :
! [U_228] :
( ( r2_hidden(U_228,U_229)
| ~ p1_s1_xboole_0(U_228)
| ~ r2_hidden(U_228,f1_s1_xboole_0) )
& ( ( p1_s1_xboole_0(U_228)
& r2_hidden(U_228,f1_s1_xboole_0) )
| ~ r2_hidden(U_228,U_229) ) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
? [U_229] :
( ! [U_231] :
( r2_hidden(U_231,U_229)
| ~ p1_s1_xboole_0(U_231)
| ~ r2_hidden(U_231,f1_s1_xboole_0) )
& ! [U_230] :
( ( p1_s1_xboole_0(U_230)
& r2_hidden(U_230,f1_s1_xboole_0) )
| ~ r2_hidden(U_230,U_229) ) ),
inference(miniscope,[status(thm)],[f_44_2]) ).
fof(f_44_4,plain,
( ! [U_231] :
( r2_hidden(U_231,sK42)
| ~ p1_s1_xboole_0(U_231)
| ~ r2_hidden(U_231,f1_s1_xboole_0) )
& ! [U_230] :
( ( p1_s1_xboole_0(U_230)
& r2_hidden(U_230,f1_s1_xboole_0) )
| ~ r2_hidden(U_230,sK42) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_229,sK42)],[f_44_3]) ).
fof(f_44_5,plain,
( ! [U_230] :
( p1_s1_xboole_0(U_230)
| ~ sP53(U_230) )
& ! [U_230] :
( r2_hidden(U_230,f1_s1_xboole_0)
| ~ sP53(U_230) )
& ! [U_231] :
( r2_hidden(U_231,sK42)
| ~ p1_s1_xboole_0(U_231)
| ~ r2_hidden(U_231,f1_s1_xboole_0) )
& ! [U_230] :
( sP53(U_230)
| ~ r2_hidden(U_230,sK42) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP53])],[f_44_4]) ).
cnf(f_44_6,plain,
( sP53(U_230)
| ~ r2_hidden(U_230,sK42) ),
inference(clausify,[status(thm)],[f_44_5]) ).
cnf(f_44_7,plain,
( r2_hidden(U_231,sK42)
| ~ p1_s1_xboole_0(U_231)
| ~ r2_hidden(U_231,f1_s1_xboole_0) ),
inference(clausify,[status(thm)],[f_44_5]) ).
cnf(f_44_8,plain,
( r2_hidden(U_230,f1_s1_xboole_0)
| ~ sP53(U_230) ),
inference(clausify,[status(thm)],[f_44_5]) ).
cnf(f_44_9,plain,
( p1_s1_xboole_0(U_230)
| ~ sP53(U_230) ),
inference(clausify,[status(thm)],[f_44_5]) ).
fof(f_45_1,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ? [A] :
( ( ~ r2_hidden(A,f2_s2_xboole_0)
& p1_s2_xboole_0(A) )
| ( ~ p1_s2_xboole_0(A)
& r2_hidden(A,f2_s2_xboole_0) ) )
| ? [A] :
( ( ~ r2_hidden(A,f1_s2_xboole_0)
& p1_s2_xboole_0(A) )
| ( ~ p1_s2_xboole_0(A)
& r2_hidden(A,f1_s2_xboole_0) ) ) ),
inference(fof_nnf,[status(thm)],[s2_xboole_0]) ).
fof(f_45_2,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ? [U_233] :
( ( ~ r2_hidden(U_233,f2_s2_xboole_0)
& p1_s2_xboole_0(U_233) )
| ( ~ p1_s2_xboole_0(U_233)
& r2_hidden(U_233,f2_s2_xboole_0) ) )
| ? [U_232] :
( ( ~ r2_hidden(U_232,f1_s2_xboole_0)
& p1_s2_xboole_0(U_232) )
| ( ~ p1_s2_xboole_0(U_232)
& r2_hidden(U_232,f1_s2_xboole_0) ) ) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ? [U_237] :
( ~ r2_hidden(U_237,f2_s2_xboole_0)
& p1_s2_xboole_0(U_237) )
| ? [U_236] :
( ~ p1_s2_xboole_0(U_236)
& r2_hidden(U_236,f2_s2_xboole_0) )
| ? [U_235] :
( ~ r2_hidden(U_235,f1_s2_xboole_0)
& p1_s2_xboole_0(U_235) )
| ? [U_234] :
( ~ p1_s2_xboole_0(U_234)
& r2_hidden(U_234,f1_s2_xboole_0) ) ),
inference(miniscope,[status(thm)],[f_45_2]) ).
fof(f_45_4,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ? [U_237] :
( ~ r2_hidden(U_237,f2_s2_xboole_0)
& p1_s2_xboole_0(U_237) )
| ? [U_236] :
( ~ p1_s2_xboole_0(U_236)
& r2_hidden(U_236,f2_s2_xboole_0) )
| ? [U_235] :
( ~ r2_hidden(U_235,f1_s2_xboole_0)
& p1_s2_xboole_0(U_235) )
| ( ~ p1_s2_xboole_0(sK43)
& r2_hidden(sK43,f1_s2_xboole_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_234,sK43)],[f_45_3]) ).
fof(f_45_5,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ? [U_237] :
( ~ r2_hidden(U_237,f2_s2_xboole_0)
& p1_s2_xboole_0(U_237) )
| ? [U_236] :
( ~ p1_s2_xboole_0(U_236)
& r2_hidden(U_236,f2_s2_xboole_0) )
| ( ~ r2_hidden(sK44,f1_s2_xboole_0)
& p1_s2_xboole_0(sK44) )
| ( ~ p1_s2_xboole_0(sK43)
& r2_hidden(sK43,f1_s2_xboole_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_235,sK44)],[f_45_4]) ).
fof(f_45_6,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ? [U_237] :
( ~ r2_hidden(U_237,f2_s2_xboole_0)
& p1_s2_xboole_0(U_237) )
| ( ~ p1_s2_xboole_0(sK45)
& r2_hidden(sK45,f2_s2_xboole_0) )
| ( ~ r2_hidden(sK44,f1_s2_xboole_0)
& p1_s2_xboole_0(sK44) )
| ( ~ p1_s2_xboole_0(sK43)
& r2_hidden(sK43,f1_s2_xboole_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_236,sK45)],[f_45_5]) ).
fof(f_45_7,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| ( ~ r2_hidden(sK46,f2_s2_xboole_0)
& p1_s2_xboole_0(sK46) )
| ( ~ p1_s2_xboole_0(sK45)
& r2_hidden(sK45,f2_s2_xboole_0) )
| ( ~ r2_hidden(sK44,f1_s2_xboole_0)
& p1_s2_xboole_0(sK44) )
| ( ~ p1_s2_xboole_0(sK43)
& r2_hidden(sK43,f1_s2_xboole_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_237,sK46)],[f_45_6]) ).
fof(f_45_8,plain,
( ( ~ r2_hidden(sK46,f2_s2_xboole_0)
| ~ sP57 )
& ( p1_s2_xboole_0(sK46)
| ~ sP57 )
& ( ~ p1_s2_xboole_0(sK45)
| ~ sP56 )
& ( r2_hidden(sK45,f2_s2_xboole_0)
| ~ sP56 )
& ( ~ r2_hidden(sK44,f1_s2_xboole_0)
| ~ sP55 )
& ( p1_s2_xboole_0(sK44)
| ~ sP55 )
& ( ~ p1_s2_xboole_0(sK43)
| ~ sP54 )
& ( r2_hidden(sK43,f1_s2_xboole_0)
| ~ sP54 )
& ( f1_s2_xboole_0 = f2_s2_xboole_0
| sP57
| sP56
| sP55
| sP54 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP54,sP55,sP56,sP57])],[f_45_7]) ).
cnf(f_45_9,plain,
( f1_s2_xboole_0 = f2_s2_xboole_0
| sP57
| sP56
| sP55
| sP54 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_10,plain,
( r2_hidden(sK43,f1_s2_xboole_0)
| ~ sP54 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_11,plain,
( ~ p1_s2_xboole_0(sK43)
| ~ sP54 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_12,plain,
( p1_s2_xboole_0(sK44)
| ~ sP55 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_13,plain,
( ~ r2_hidden(sK44,f1_s2_xboole_0)
| ~ sP55 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_14,plain,
( r2_hidden(sK45,f2_s2_xboole_0)
| ~ sP56 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_15,plain,
( ~ p1_s2_xboole_0(sK45)
| ~ sP56 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_16,plain,
( p1_s2_xboole_0(sK46)
| ~ sP57 ),
inference(clausify,[status(thm)],[f_45_8]) ).
cnf(f_45_17,plain,
( ~ r2_hidden(sK46,f2_s2_xboole_0)
| ~ sP57 ),
inference(clausify,[status(thm)],[f_45_8]) ).
fof(f_46_1,plain,
! [A,B] :
( A = B
| ? [C] :
( ( ~ r2_hidden(C,B)
& p1_s3_xboole_0(C) )
| ( ~ p1_s3_xboole_0(C)
& r2_hidden(C,B) ) )
| ? [C] :
( ( ~ r2_hidden(C,A)
& p1_s3_xboole_0(C) )
| ( ~ p1_s3_xboole_0(C)
& r2_hidden(C,A) ) ) ),
inference(fof_nnf,[status(thm)],[s3_xboole_0]) ).
fof(f_46_2,plain,
! [U_241,U_240] :
( U_241 = U_240
| ? [U_239] :
( ( ~ r2_hidden(U_239,U_240)
& p1_s3_xboole_0(U_239) )
| ( ~ p1_s3_xboole_0(U_239)
& r2_hidden(U_239,U_240) ) )
| ? [U_238] :
( ( ~ r2_hidden(U_238,U_241)
& p1_s3_xboole_0(U_238) )
| ( ~ p1_s3_xboole_0(U_238)
& r2_hidden(U_238,U_241) ) ) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_241,U_240] :
( U_241 = U_240
| ? [U_245] :
( ~ r2_hidden(U_245,U_240)
& p1_s3_xboole_0(U_245) )
| ? [U_244] :
( ~ p1_s3_xboole_0(U_244)
& r2_hidden(U_244,U_240) )
| ? [U_243] :
( ~ r2_hidden(U_243,U_241)
& p1_s3_xboole_0(U_243) )
| ? [U_242] :
( ~ p1_s3_xboole_0(U_242)
& r2_hidden(U_242,U_241) ) ),
inference(miniscope,[status(thm)],[f_46_2]) ).
fof(f_46_4,plain,
! [U_241,U_240] :
( U_241 = U_240
| ? [U_245] :
( ~ r2_hidden(U_245,U_240)
& p1_s3_xboole_0(U_245) )
| ? [U_244] :
( ~ p1_s3_xboole_0(U_244)
& r2_hidden(U_244,U_240) )
| ? [U_243] :
( ~ r2_hidden(U_243,U_241)
& p1_s3_xboole_0(U_243) )
| ( ~ p1_s3_xboole_0(sK47(U_241,U_240))
& r2_hidden(sK47(U_241,U_240),U_241) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_242,sK47(U_241,U_240))],[f_46_3]) ).
fof(f_46_5,plain,
! [U_241,U_240] :
( U_241 = U_240
| ? [U_245] :
( ~ r2_hidden(U_245,U_240)
& p1_s3_xboole_0(U_245) )
| ? [U_244] :
( ~ p1_s3_xboole_0(U_244)
& r2_hidden(U_244,U_240) )
| ( ~ r2_hidden(sK48(U_241,U_240),U_241)
& p1_s3_xboole_0(sK48(U_241,U_240)) )
| ( ~ p1_s3_xboole_0(sK47(U_241,U_240))
& r2_hidden(sK47(U_241,U_240),U_241) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_243,sK48(U_241,U_240))],[f_46_4]) ).
fof(f_46_6,plain,
! [U_241,U_240] :
( U_241 = U_240
| ? [U_245] :
( ~ r2_hidden(U_245,U_240)
& p1_s3_xboole_0(U_245) )
| ( ~ p1_s3_xboole_0(sK49(U_241,U_240))
& r2_hidden(sK49(U_241,U_240),U_240) )
| ( ~ r2_hidden(sK48(U_241,U_240),U_241)
& p1_s3_xboole_0(sK48(U_241,U_240)) )
| ( ~ p1_s3_xboole_0(sK47(U_241,U_240))
& r2_hidden(sK47(U_241,U_240),U_241) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_244,sK49(U_241,U_240))],[f_46_5]) ).
fof(f_46_7,plain,
! [U_241,U_240] :
( U_241 = U_240
| ( ~ r2_hidden(sK50(U_241,U_240),U_240)
& p1_s3_xboole_0(sK50(U_241,U_240)) )
| ( ~ p1_s3_xboole_0(sK49(U_241,U_240))
& r2_hidden(sK49(U_241,U_240),U_240) )
| ( ~ r2_hidden(sK48(U_241,U_240),U_241)
& p1_s3_xboole_0(sK48(U_241,U_240)) )
| ( ~ p1_s3_xboole_0(sK47(U_241,U_240))
& r2_hidden(sK47(U_241,U_240),U_241) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_245,sK50(U_241,U_240))],[f_46_6]) ).
fof(f_46_8,plain,
( ! [U_240,U_241] :
( ~ r2_hidden(sK50(U_241,U_240),U_240)
| ~ sP61(U_240,U_241) )
& ! [U_240,U_241] :
( p1_s3_xboole_0(sK50(U_241,U_240))
| ~ sP61(U_240,U_241) )
& ! [U_240,U_241] :
( ~ p1_s3_xboole_0(sK49(U_241,U_240))
| ~ sP60(U_240,U_241) )
& ! [U_240,U_241] :
( r2_hidden(sK49(U_241,U_240),U_240)
| ~ sP60(U_240,U_241) )
& ! [U_240,U_241] :
( ~ r2_hidden(sK48(U_241,U_240),U_241)
| ~ sP59(U_240,U_241) )
& ! [U_240,U_241] :
( p1_s3_xboole_0(sK48(U_241,U_240))
| ~ sP59(U_240,U_241) )
& ! [U_240,U_241] :
( ~ p1_s3_xboole_0(sK47(U_241,U_240))
| ~ sP58(U_240,U_241) )
& ! [U_240,U_241] :
( r2_hidden(sK47(U_241,U_240),U_241)
| ~ sP58(U_240,U_241) )
& ! [U_240,U_241] :
( U_241 = U_240
| sP61(U_240,U_241)
| sP60(U_240,U_241)
| sP59(U_240,U_241)
| sP58(U_240,U_241) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP58,sP59,sP60,sP61])],[f_46_7]) ).
cnf(f_46_9,plain,
( U_241 = U_240
| sP61(U_240,U_241)
| sP60(U_240,U_241)
| sP59(U_240,U_241)
| sP58(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_10,plain,
( r2_hidden(sK47(U_241,U_240),U_241)
| ~ sP58(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_11,plain,
( ~ p1_s3_xboole_0(sK47(U_241,U_240))
| ~ sP58(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_12,plain,
( p1_s3_xboole_0(sK48(U_241,U_240))
| ~ sP59(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_13,plain,
( ~ r2_hidden(sK48(U_241,U_240),U_241)
| ~ sP59(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_14,plain,
( r2_hidden(sK49(U_241,U_240),U_240)
| ~ sP60(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_15,plain,
( ~ p1_s3_xboole_0(sK49(U_241,U_240))
| ~ sP60(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_16,plain,
( p1_s3_xboole_0(sK50(U_241,U_240))
| ~ sP61(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
cnf(f_46_17,plain,
( ~ r2_hidden(sK50(U_241,U_240),U_240)
| ~ sP61(U_240,U_241) ),
inference(clausify,[status(thm)],[f_46_8]) ).
fof(f_47_1,plain,
! [A,B] :
( r1_xboole_0(B,A)
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0]) ).
fof(f_47_2,plain,
! [U_247,U_246] :
( r1_xboole_0(U_246,U_247)
| ~ r1_xboole_0(U_247,U_246) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_246,U_247] :
( r1_xboole_0(U_246,U_247)
| ~ r1_xboole_0(U_247,U_246) ),
inference(definitional_conversion,[status(esa)],[f_47_2]) ).
cnf(f_47_4,plain,
( r1_xboole_0(U_246,U_247)
| ~ r1_xboole_0(U_247,U_246) ),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_1,plain,
! [A,B] : ~ r2_xboole_0(A,A),
inference(fof_nnf,[status(thm)],[irreflexivity_r2_xboole_0]) ).
fof(f_48_2,plain,
! [U_249,U_248] : ~ r2_xboole_0(U_249,U_249),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_249] : ~ r2_xboole_0(U_249,U_249),
inference(miniscope,[status(thm)],[f_48_2]) ).
fof(f_48_4,plain,
! [U_249] : ~ r2_xboole_0(U_249,U_249),
inference(definitional_conversion,[status(esa)],[f_48_3]) ).
cnf(f_48_5,plain,
~ r2_xboole_0(U_249,U_249),
inference(clausify,[status(thm)],[f_48_4]) ).
fof(f_49_1,plain,
! [A,B] :
( ~ r2_xboole_0(B,A)
| ~ r2_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_xboole_0]) ).
fof(f_49_2,plain,
! [U_251,U_250] :
( ~ r2_xboole_0(U_250,U_251)
| ~ r2_xboole_0(U_251,U_250) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_251,U_250] :
( ~ r2_xboole_0(U_250,U_251)
| ~ r2_xboole_0(U_251,U_250) ),
inference(definitional_conversion,[status(esa)],[f_49_2]) ).
cnf(f_49_4,plain,
( ~ r2_xboole_0(U_250,U_251)
| ~ r2_xboole_0(U_251,U_250) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [A,B] :
( r3_xboole_0(B,A)
| ~ r3_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[symmetry_r3_xboole_0]) ).
fof(f_50_2,plain,
! [U_253,U_252] :
( r3_xboole_0(U_252,U_253)
| ~ r3_xboole_0(U_253,U_252) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_253,U_252] :
( r3_xboole_0(U_252,U_253)
| ~ r3_xboole_0(U_253,U_252) ),
inference(definitional_conversion,[status(esa)],[f_50_2]) ).
cnf(f_50_4,plain,
( r3_xboole_0(U_252,U_253)
| ~ r3_xboole_0(U_253,U_252) ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
! [A,B] : r3_xboole_0(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r3_xboole_0]) ).
fof(f_51_2,plain,
! [U_255,U_254] : r3_xboole_0(U_255,U_255),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_255] : r3_xboole_0(U_255,U_255),
inference(miniscope,[status(thm)],[f_51_2]) ).
fof(f_51_4,plain,
! [U_255] : r3_xboole_0(U_255,U_255),
inference(definitional_conversion,[status(esa)],[f_51_3]) ).
cnf(f_51_5,plain,
r3_xboole_0(U_255,U_255),
inference(clausify,[status(thm)],[f_51_4]) ).
fof(f_52_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
fof(f_52_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_52_1]) ).
cnf(f_52_3,plain,
$true,
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_xboole_0]) ).
fof(f_53_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_53_1]) ).
cnf(f_53_3,plain,
$true,
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A),
inference(fof_nnf,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(f_54_2,plain,
! [U_257,U_256] : k2_xboole_0(U_257,U_256) = k2_xboole_0(U_256,U_257),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
! [U_256,U_257] : k2_xboole_0(U_257,U_256) = k2_xboole_0(U_256,U_257),
inference(definitional_conversion,[status(esa)],[f_54_2]) ).
cnf(f_54_4,plain,
k2_xboole_0(U_257,U_256) = k2_xboole_0(U_256,U_257),
inference(clausify,[status(thm)],[f_54_3]) ).
fof(f_55_1,plain,
! [A,B] : k2_xboole_0(A,A) = A,
inference(fof_nnf,[status(thm)],[idempotence_k2_xboole_0]) ).
fof(f_55_2,plain,
! [U_259,U_258] : k2_xboole_0(U_259,U_259) = U_259,
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
! [U_259] : k2_xboole_0(U_259,U_259) = U_259,
inference(miniscope,[status(thm)],[f_55_2]) ).
fof(f_55_4,plain,
! [U_259] : k2_xboole_0(U_259,U_259) = U_259,
inference(definitional_conversion,[status(esa)],[f_55_3]) ).
cnf(f_55_5,plain,
k2_xboole_0(U_259,U_259) = U_259,
inference(clausify,[status(thm)],[f_55_4]) ).
fof(f_56_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_xboole_0]) ).
fof(f_56_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_56_1]) ).
cnf(f_56_3,plain,
$true,
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
inference(fof_nnf,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(f_57_2,plain,
! [U_261,U_260] : k3_xboole_0(U_261,U_260) = k3_xboole_0(U_260,U_261),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
! [U_260,U_261] : k3_xboole_0(U_261,U_260) = k3_xboole_0(U_260,U_261),
inference(definitional_conversion,[status(esa)],[f_57_2]) ).
cnf(f_57_4,plain,
k3_xboole_0(U_261,U_260) = k3_xboole_0(U_260,U_261),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_1,plain,
! [A,B] : k3_xboole_0(A,A) = A,
inference(fof_nnf,[status(thm)],[idempotence_k3_xboole_0]) ).
fof(f_58_2,plain,
! [U_263,U_262] : k3_xboole_0(U_263,U_263) = U_263,
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
! [U_263] : k3_xboole_0(U_263,U_263) = U_263,
inference(miniscope,[status(thm)],[f_58_2]) ).
fof(f_58_4,plain,
! [U_263] : k3_xboole_0(U_263,U_263) = U_263,
inference(definitional_conversion,[status(esa)],[f_58_3]) ).
cnf(f_58_5,plain,
k3_xboole_0(U_263,U_263) = U_263,
inference(clausify,[status(thm)],[f_58_4]) ).
fof(f_59_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k4_xboole_0]) ).
fof(f_59_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_59_1]) ).
cnf(f_59_3,plain,
$true,
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k5_xboole_0]) ).
fof(f_60_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_60_1]) ).
cnf(f_60_3,plain,
$true,
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
! [A,B] : k5_xboole_0(A,B) = k5_xboole_0(B,A),
inference(fof_nnf,[status(thm)],[commutativity_k5_xboole_0]) ).
fof(f_61_2,plain,
! [U_265,U_264] : k5_xboole_0(U_265,U_264) = k5_xboole_0(U_264,U_265),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
! [U_265,U_264] : k5_xboole_0(U_265,U_264) = k5_xboole_0(U_264,U_265),
inference(definitional_conversion,[status(esa)],[f_61_2]) ).
cnf(f_61_4,plain,
k5_xboole_0(U_265,U_264) = k5_xboole_0(U_264,U_265),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_1,plain,
! [A] : k2_xboole_0(A,k1_xboole_0) = A,
inference(fof_nnf,[status(thm)],[t1_boole]) ).
fof(f_62_2,plain,
! [U_266] : k2_xboole_0(U_266,k1_xboole_0) = U_266,
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
! [U_266] : k2_xboole_0(U_266,k1_xboole_0) = U_266,
inference(definitional_conversion,[status(esa)],[f_62_2]) ).
cnf(f_62_4,plain,
k2_xboole_0(U_266,k1_xboole_0) = U_266,
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t2_boole]) ).
fof(f_63_2,plain,
! [U_267] : k3_xboole_0(U_267,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
! [U_267] : k3_xboole_0(U_267,k1_xboole_0) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_63_2]) ).
cnf(f_63_4,plain,
k3_xboole_0(U_267,k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_63_3]) ).
fof(f_64_1,plain,
! [A] : k4_xboole_0(A,k1_xboole_0) = A,
inference(fof_nnf,[status(thm)],[t3_boole]) ).
fof(f_64_2,plain,
! [U_268] : k4_xboole_0(U_268,k1_xboole_0) = U_268,
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
! [U_268] : k4_xboole_0(U_268,k1_xboole_0) = U_268,
inference(definitional_conversion,[status(esa)],[f_64_2]) ).
cnf(f_64_4,plain,
k4_xboole_0(U_268,k1_xboole_0) = U_268,
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t4_boole]) ).
fof(f_65_2,plain,
! [U_269] : k4_xboole_0(k1_xboole_0,U_269) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
! [U_269] : k4_xboole_0(k1_xboole_0,U_269) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_65_2]) ).
cnf(f_65_4,plain,
k4_xboole_0(k1_xboole_0,U_269) = k1_xboole_0,
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_66_1,plain,
! [A] : k5_xboole_0(A,k1_xboole_0) = A,
inference(fof_nnf,[status(thm)],[t5_boole]) ).
fof(f_66_2,plain,
! [U_270] : k5_xboole_0(U_270,k1_xboole_0) = U_270,
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
! [U_270] : k5_xboole_0(U_270,k1_xboole_0) = U_270,
inference(definitional_conversion,[status(esa)],[f_66_2]) ).
cnf(f_66_4,plain,
k5_xboole_0(U_270,k1_xboole_0) = U_270,
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_67_2,plain,
! [U_271] :
( U_271 = k1_xboole_0
| ~ v1_xboole_0(U_271) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
! [U_271] :
( U_271 = k1_xboole_0
| ~ v1_xboole_0(U_271) ),
inference(definitional_conversion,[status(esa)],[f_67_2]) ).
cnf(f_67_4,plain,
( U_271 = k1_xboole_0
| ~ v1_xboole_0(U_271) ),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_68_2,plain,
! [U_273,U_272] :
( ~ v1_xboole_0(U_272)
| ~ r2_hidden(U_273,U_272) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_272,U_273] :
( ~ v1_xboole_0(U_272)
| ~ r2_hidden(U_273,U_272) ),
inference(definitional_conversion,[status(esa)],[f_68_2]) ).
cnf(f_68_4,plain,
( ~ v1_xboole_0(U_272)
| ~ r2_hidden(U_273,U_272) ),
inference(clausify,[status(thm)],[f_68_3]) ).
fof(f_69_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_69_2,plain,
! [U_275,U_274] :
( ~ v1_xboole_0(U_274)
| U_275 = U_274
| ~ v1_xboole_0(U_275) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_275] :
( ! [U_274] :
( ~ v1_xboole_0(U_274)
| U_275 = U_274 )
| ~ v1_xboole_0(U_275) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
fof(f_69_4,plain,
! [U_274,U_275] :
( ~ v1_xboole_0(U_274)
| U_275 = U_274
| ~ v1_xboole_0(U_275) ),
inference(definitional_conversion,[status(esa)],[f_69_3]) ).
cnf(f_69_5,plain,
( ~ v1_xboole_0(U_274)
| U_275 = U_274
| ~ v1_xboole_0(U_275) ),
inference(clausify,[status(thm)],[f_69_4]) ).
fof(f_70_1,plain,
! [A,B,C] :
( r1_tarski(A,C)
| ~ r1_tarski(B,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t1_xboole_1]) ).
fof(f_70_2,plain,
! [U_278,U_277,U_276] :
( r1_tarski(U_278,U_276)
| ~ r1_tarski(U_277,U_276)
| ~ r1_tarski(U_278,U_277) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
! [U_278,U_276,U_277] :
( r1_tarski(U_278,U_276)
| ~ r1_tarski(U_277,U_276)
| ~ r1_tarski(U_278,U_277) ),
inference(definitional_conversion,[status(esa)],[f_70_2]) ).
cnf(f_70_4,plain,
( r1_tarski(U_278,U_276)
| ~ r1_tarski(U_277,U_276)
| ~ r1_tarski(U_278,U_277) ),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
! [A] : r1_tarski(k1_xboole_0,A),
inference(fof_nnf,[status(thm)],[t2_xboole_1]) ).
fof(f_71_2,plain,
! [U_279] : r1_tarski(k1_xboole_0,U_279),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
! [U_279] : r1_tarski(k1_xboole_0,U_279),
inference(definitional_conversion,[status(esa)],[f_71_2]) ).
cnf(f_71_4,plain,
r1_tarski(k1_xboole_0,U_279),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [A] :
( A = k1_xboole_0
| ~ r1_tarski(A,k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[t3_xboole_1]) ).
fof(f_72_2,plain,
! [U_280] :
( U_280 = k1_xboole_0
| ~ r1_tarski(U_280,k1_xboole_0) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
! [U_280] :
( U_280 = k1_xboole_0
| ~ r1_tarski(U_280,k1_xboole_0) ),
inference(definitional_conversion,[status(esa)],[f_72_2]) ).
cnf(f_72_4,plain,
( U_280 = k1_xboole_0
| ~ r1_tarski(U_280,k1_xboole_0) ),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [A,B,C] : k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(A,k2_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t4_xboole_1]) ).
fof(f_73_2,plain,
! [U_283,U_282,U_281] : k2_xboole_0(k2_xboole_0(U_283,U_282),U_281) = k2_xboole_0(U_283,k2_xboole_0(U_282,U_281)),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_281,U_282,U_283] : k2_xboole_0(k2_xboole_0(U_283,U_282),U_281) = k2_xboole_0(U_283,k2_xboole_0(U_282,U_281)),
inference(definitional_conversion,[status(esa)],[f_73_2]) ).
cnf(f_73_4,plain,
k2_xboole_0(k2_xboole_0(U_283,U_282),U_281) = k2_xboole_0(U_283,k2_xboole_0(U_282,U_281)),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [A,B,C] : k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k2_xboole_0(A,C),k2_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t5_xboole_1]) ).
fof(f_74_2,plain,
! [U_286,U_285,U_284] : k2_xboole_0(k2_xboole_0(U_286,U_285),U_284) = k2_xboole_0(k2_xboole_0(U_286,U_284),k2_xboole_0(U_285,U_284)),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_285,U_286,U_284] : k2_xboole_0(k2_xboole_0(U_286,U_285),U_284) = k2_xboole_0(k2_xboole_0(U_286,U_284),k2_xboole_0(U_285,U_284)),
inference(definitional_conversion,[status(esa)],[f_74_2]) ).
cnf(f_74_4,plain,
k2_xboole_0(k2_xboole_0(U_286,U_285),U_284) = k2_xboole_0(k2_xboole_0(U_286,U_284),k2_xboole_0(U_285,U_284)),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [A,B] : k2_xboole_0(A,k2_xboole_0(A,B)) = k2_xboole_0(A,B),
inference(fof_nnf,[status(thm)],[t6_xboole_1]) ).
fof(f_75_2,plain,
! [U_288,U_287] : k2_xboole_0(U_288,k2_xboole_0(U_288,U_287)) = k2_xboole_0(U_288,U_287),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_288,U_287] : k2_xboole_0(U_288,k2_xboole_0(U_288,U_287)) = k2_xboole_0(U_288,U_287),
inference(definitional_conversion,[status(esa)],[f_75_2]) ).
cnf(f_75_4,plain,
k2_xboole_0(U_288,k2_xboole_0(U_288,U_287)) = k2_xboole_0(U_288,U_287),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
! [A,B] : r1_tarski(A,k2_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t7_xboole_1]) ).
fof(f_76_2,plain,
! [U_290,U_289] : r1_tarski(U_290,k2_xboole_0(U_290,U_289)),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
! [U_289,U_290] : r1_tarski(U_290,k2_xboole_0(U_290,U_289)),
inference(definitional_conversion,[status(esa)],[f_76_2]) ).
cnf(f_76_4,plain,
r1_tarski(U_290,k2_xboole_0(U_290,U_289)),
inference(clausify,[status(thm)],[f_76_3]) ).
fof(f_77_1,plain,
! [A,B,C] :
( r1_tarski(k2_xboole_0(A,C),B)
| ~ r1_tarski(C,B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t8_xboole_1]) ).
fof(f_77_2,plain,
! [U_293,U_292,U_291] :
( r1_tarski(k2_xboole_0(U_293,U_291),U_292)
| ~ r1_tarski(U_291,U_292)
| ~ r1_tarski(U_293,U_292) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
! [U_291,U_292,U_293] :
( r1_tarski(k2_xboole_0(U_293,U_291),U_292)
| ~ r1_tarski(U_291,U_292)
| ~ r1_tarski(U_293,U_292) ),
inference(definitional_conversion,[status(esa)],[f_77_2]) ).
cnf(f_77_4,plain,
( r1_tarski(k2_xboole_0(U_293,U_291),U_292)
| ~ r1_tarski(U_291,U_292)
| ~ r1_tarski(U_293,U_292) ),
inference(clausify,[status(thm)],[f_77_3]) ).
fof(f_78_1,plain,
! [A,B,C] :
( r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,C))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t9_xboole_1]) ).
fof(f_78_2,plain,
! [U_296,U_295,U_294] :
( r1_tarski(k2_xboole_0(U_296,U_294),k2_xboole_0(U_295,U_294))
| ~ r1_tarski(U_296,U_295) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
! [U_296,U_295] :
( ! [U_294] : r1_tarski(k2_xboole_0(U_296,U_294),k2_xboole_0(U_295,U_294))
| ~ r1_tarski(U_296,U_295) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
! [U_295,U_296,U_294] :
( r1_tarski(k2_xboole_0(U_296,U_294),k2_xboole_0(U_295,U_294))
| ~ r1_tarski(U_296,U_295) ),
inference(definitional_conversion,[status(esa)],[f_78_3]) ).
cnf(f_78_5,plain,
( r1_tarski(k2_xboole_0(U_296,U_294),k2_xboole_0(U_295,U_294))
| ~ r1_tarski(U_296,U_295) ),
inference(clausify,[status(thm)],[f_78_4]) ).
fof(f_79_1,plain,
! [A,B,C] :
( r1_tarski(A,k2_xboole_0(C,B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t10_xboole_1]) ).
fof(f_79_2,plain,
! [U_299,U_298,U_297] :
( r1_tarski(U_299,k2_xboole_0(U_297,U_298))
| ~ r1_tarski(U_299,U_298) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
! [U_299,U_298] :
( ! [U_297] : r1_tarski(U_299,k2_xboole_0(U_297,U_298))
| ~ r1_tarski(U_299,U_298) ),
inference(miniscope,[status(thm)],[f_79_2]) ).
fof(f_79_4,plain,
! [U_297,U_298,U_299] :
( r1_tarski(U_299,k2_xboole_0(U_297,U_298))
| ~ r1_tarski(U_299,U_298) ),
inference(definitional_conversion,[status(esa)],[f_79_3]) ).
cnf(f_79_5,plain,
( r1_tarski(U_299,k2_xboole_0(U_297,U_298))
| ~ r1_tarski(U_299,U_298) ),
inference(clausify,[status(thm)],[f_79_4]) ).
fof(f_80_1,plain,
! [A,B,C] :
( r1_tarski(A,C)
| ~ r1_tarski(k2_xboole_0(A,B),C) ),
inference(fof_nnf,[status(thm)],[t11_xboole_1]) ).
fof(f_80_2,plain,
! [U_302,U_301,U_300] :
( r1_tarski(U_302,U_300)
| ~ r1_tarski(k2_xboole_0(U_302,U_301),U_300) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
! [U_300,U_301,U_302] :
( r1_tarski(U_302,U_300)
| ~ r1_tarski(k2_xboole_0(U_302,U_301),U_300) ),
inference(definitional_conversion,[status(esa)],[f_80_2]) ).
cnf(f_80_4,plain,
( r1_tarski(U_302,U_300)
| ~ r1_tarski(k2_xboole_0(U_302,U_301),U_300) ),
inference(clausify,[status(thm)],[f_80_3]) ).
fof(f_81_1,plain,
! [A,B] :
( k2_xboole_0(A,B) = B
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t12_xboole_1]) ).
fof(f_81_2,plain,
! [U_304,U_303] :
( k2_xboole_0(U_304,U_303) = U_303
| ~ r1_tarski(U_304,U_303) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
! [U_303,U_304] :
( k2_xboole_0(U_304,U_303) = U_303
| ~ r1_tarski(U_304,U_303) ),
inference(definitional_conversion,[status(esa)],[f_81_2]) ).
cnf(f_81_4,plain,
( k2_xboole_0(U_304,U_303) = U_303
| ~ r1_tarski(U_304,U_303) ),
inference(clausify,[status(thm)],[f_81_3]) ).
fof(f_82_1,plain,
! [A,B,C,D] :
( r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,D))
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t13_xboole_1]) ).
fof(f_82_2,plain,
! [U_308,U_307,U_306,U_305] :
( r1_tarski(k2_xboole_0(U_308,U_306),k2_xboole_0(U_307,U_305))
| ~ r1_tarski(U_306,U_305)
| ~ r1_tarski(U_308,U_307) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
! [U_307,U_308,U_305,U_306] :
( r1_tarski(k2_xboole_0(U_308,U_306),k2_xboole_0(U_307,U_305))
| ~ r1_tarski(U_306,U_305)
| ~ r1_tarski(U_308,U_307) ),
inference(definitional_conversion,[status(esa)],[f_82_2]) ).
cnf(f_82_4,plain,
( r1_tarski(k2_xboole_0(U_308,U_306),k2_xboole_0(U_307,U_305))
| ~ r1_tarski(U_306,U_305)
| ~ r1_tarski(U_308,U_307) ),
inference(clausify,[status(thm)],[f_82_3]) ).
fof(f_83_1,plain,
! [A,B,C] :
( B = k2_xboole_0(A,C)
| ? [D] :
( ~ r1_tarski(B,D)
& r1_tarski(C,D)
& r1_tarski(A,D) )
| ~ r1_tarski(C,B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t14_xboole_1]) ).
fof(f_83_2,plain,
! [U_312,U_311,U_310] :
( U_311 = k2_xboole_0(U_312,U_310)
| ? [U_309] :
( ~ r1_tarski(U_311,U_309)
& r1_tarski(U_310,U_309)
& r1_tarski(U_312,U_309) )
| ~ r1_tarski(U_310,U_311)
| ~ r1_tarski(U_312,U_311) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
! [U_312,U_311,U_310] :
( U_311 = k2_xboole_0(U_312,U_310)
| ( ~ r1_tarski(U_311,sK51(U_312,U_311,U_310))
& r1_tarski(U_310,sK51(U_312,U_311,U_310))
& r1_tarski(U_312,sK51(U_312,U_311,U_310)) )
| ~ r1_tarski(U_310,U_311)
| ~ r1_tarski(U_312,U_311) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_309,sK51(U_312,U_311,U_310))],[f_83_2]) ).
fof(f_83_4,plain,
( ! [U_310,U_311,U_312] :
( ~ r1_tarski(U_311,sK51(U_312,U_311,U_310))
| ~ sP62(U_310,U_311,U_312) )
& ! [U_310,U_311,U_312] :
( r1_tarski(U_310,sK51(U_312,U_311,U_310))
| ~ sP62(U_310,U_311,U_312) )
& ! [U_310,U_311,U_312] :
( r1_tarski(U_312,sK51(U_312,U_311,U_310))
| ~ sP62(U_310,U_311,U_312) )
& ! [U_310,U_311,U_312] :
( U_311 = k2_xboole_0(U_312,U_310)
| sP62(U_310,U_311,U_312)
| ~ r1_tarski(U_310,U_311)
| ~ r1_tarski(U_312,U_311) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP62])],[f_83_3]) ).
cnf(f_83_5,plain,
( U_311 = k2_xboole_0(U_312,U_310)
| sP62(U_310,U_311,U_312)
| ~ r1_tarski(U_310,U_311)
| ~ r1_tarski(U_312,U_311) ),
inference(clausify,[status(thm)],[f_83_4]) ).
cnf(f_83_6,plain,
( r1_tarski(U_312,sK51(U_312,U_311,U_310))
| ~ sP62(U_310,U_311,U_312) ),
inference(clausify,[status(thm)],[f_83_4]) ).
cnf(f_83_7,plain,
( r1_tarski(U_310,sK51(U_312,U_311,U_310))
| ~ sP62(U_310,U_311,U_312) ),
inference(clausify,[status(thm)],[f_83_4]) ).
cnf(f_83_8,plain,
( ~ r1_tarski(U_311,sK51(U_312,U_311,U_310))
| ~ sP62(U_310,U_311,U_312) ),
inference(clausify,[status(thm)],[f_83_4]) ).
fof(f_84_1,plain,
! [A,B] :
( A = k1_xboole_0
| k2_xboole_0(A,B) != k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t15_xboole_1]) ).
fof(f_84_2,plain,
! [U_314,U_313] :
( U_314 = k1_xboole_0
| k2_xboole_0(U_314,U_313) != k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
! [U_314] :
( ! [U_313] : k2_xboole_0(U_314,U_313) != k1_xboole_0
| U_314 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_84_2]) ).
fof(f_84_4,plain,
! [U_313,U_314] :
( k2_xboole_0(U_314,U_313) != k1_xboole_0
| U_314 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_84_3]) ).
cnf(f_84_5,plain,
( k2_xboole_0(U_314,U_313) != k1_xboole_0
| U_314 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_84_4]) ).
fof(f_85_1,plain,
! [A,B,C] : k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t16_xboole_1]) ).
fof(f_85_2,plain,
! [U_317,U_316,U_315] : k3_xboole_0(k3_xboole_0(U_317,U_316),U_315) = k3_xboole_0(U_317,k3_xboole_0(U_316,U_315)),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
! [U_317,U_316,U_315] : k3_xboole_0(k3_xboole_0(U_317,U_316),U_315) = k3_xboole_0(U_317,k3_xboole_0(U_316,U_315)),
inference(definitional_conversion,[status(esa)],[f_85_2]) ).
cnf(f_85_4,plain,
k3_xboole_0(k3_xboole_0(U_317,U_316),U_315) = k3_xboole_0(U_317,k3_xboole_0(U_316,U_315)),
inference(clausify,[status(thm)],[f_85_3]) ).
fof(f_86_1,plain,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
inference(fof_nnf,[status(thm)],[t17_xboole_1]) ).
fof(f_86_2,plain,
! [U_319,U_318] : r1_tarski(k3_xboole_0(U_319,U_318),U_319),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
! [U_318,U_319] : r1_tarski(k3_xboole_0(U_319,U_318),U_319),
inference(definitional_conversion,[status(esa)],[f_86_2]) ).
cnf(f_86_4,plain,
r1_tarski(k3_xboole_0(U_319,U_318),U_319),
inference(clausify,[status(thm)],[f_86_3]) ).
fof(f_87_1,plain,
! [A,B,C] :
( r1_tarski(A,B)
| ~ r1_tarski(A,k3_xboole_0(B,C)) ),
inference(fof_nnf,[status(thm)],[t18_xboole_1]) ).
fof(f_87_2,plain,
! [U_322,U_321,U_320] :
( r1_tarski(U_322,U_321)
| ~ r1_tarski(U_322,k3_xboole_0(U_321,U_320)) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
! [U_322,U_321] :
( ! [U_320] : ~ r1_tarski(U_322,k3_xboole_0(U_321,U_320))
| r1_tarski(U_322,U_321) ),
inference(miniscope,[status(thm)],[f_87_2]) ).
fof(f_87_4,plain,
! [U_322,U_320,U_321] :
( ~ r1_tarski(U_322,k3_xboole_0(U_321,U_320))
| r1_tarski(U_322,U_321) ),
inference(definitional_conversion,[status(esa)],[f_87_3]) ).
cnf(f_87_5,plain,
( ~ r1_tarski(U_322,k3_xboole_0(U_321,U_320))
| r1_tarski(U_322,U_321) ),
inference(clausify,[status(thm)],[f_87_4]) ).
fof(f_88_1,plain,
! [A,B,C] :
( r1_tarski(A,k3_xboole_0(B,C))
| ~ r1_tarski(A,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t19_xboole_1]) ).
fof(f_88_2,plain,
! [U_325,U_324,U_323] :
( r1_tarski(U_325,k3_xboole_0(U_324,U_323))
| ~ r1_tarski(U_325,U_323)
| ~ r1_tarski(U_325,U_324) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_325,U_323,U_324] :
( r1_tarski(U_325,k3_xboole_0(U_324,U_323))
| ~ r1_tarski(U_325,U_323)
| ~ r1_tarski(U_325,U_324) ),
inference(definitional_conversion,[status(esa)],[f_88_2]) ).
cnf(f_88_4,plain,
( r1_tarski(U_325,k3_xboole_0(U_324,U_323))
| ~ r1_tarski(U_325,U_323)
| ~ r1_tarski(U_325,U_324) ),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
! [A,B,C] :
( A = k3_xboole_0(B,C)
| ? [D] :
( ~ r1_tarski(D,A)
& r1_tarski(D,C)
& r1_tarski(D,B) )
| ~ r1_tarski(A,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t20_xboole_1]) ).
fof(f_89_2,plain,
! [U_329,U_328,U_327] :
( U_329 = k3_xboole_0(U_328,U_327)
| ? [U_326] :
( ~ r1_tarski(U_326,U_329)
& r1_tarski(U_326,U_327)
& r1_tarski(U_326,U_328) )
| ~ r1_tarski(U_329,U_327)
| ~ r1_tarski(U_329,U_328) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
! [U_329,U_328,U_327] :
( U_329 = k3_xboole_0(U_328,U_327)
| ( ~ r1_tarski(sK52(U_329,U_328,U_327),U_329)
& r1_tarski(sK52(U_329,U_328,U_327),U_327)
& r1_tarski(sK52(U_329,U_328,U_327),U_328) )
| ~ r1_tarski(U_329,U_327)
| ~ r1_tarski(U_329,U_328) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_326,sK52(U_329,U_328,U_327))],[f_89_2]) ).
fof(f_89_4,plain,
( ! [U_327,U_328,U_329] :
( ~ r1_tarski(sK52(U_329,U_328,U_327),U_329)
| ~ sP63(U_327,U_328,U_329) )
& ! [U_327,U_328,U_329] :
( r1_tarski(sK52(U_329,U_328,U_327),U_327)
| ~ sP63(U_327,U_328,U_329) )
& ! [U_327,U_328,U_329] :
( r1_tarski(sK52(U_329,U_328,U_327),U_328)
| ~ sP63(U_327,U_328,U_329) )
& ! [U_327,U_328,U_329] :
( U_329 = k3_xboole_0(U_328,U_327)
| sP63(U_327,U_328,U_329)
| ~ r1_tarski(U_329,U_327)
| ~ r1_tarski(U_329,U_328) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP63])],[f_89_3]) ).
cnf(f_89_5,plain,
( U_329 = k3_xboole_0(U_328,U_327)
| sP63(U_327,U_328,U_329)
| ~ r1_tarski(U_329,U_327)
| ~ r1_tarski(U_329,U_328) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_6,plain,
( r1_tarski(sK52(U_329,U_328,U_327),U_328)
| ~ sP63(U_327,U_328,U_329) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_7,plain,
( r1_tarski(sK52(U_329,U_328,U_327),U_327)
| ~ sP63(U_327,U_328,U_329) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_8,plain,
( ~ r1_tarski(sK52(U_329,U_328,U_327),U_329)
| ~ sP63(U_327,U_328,U_329) ),
inference(clausify,[status(thm)],[f_89_4]) ).
fof(f_90_1,plain,
! [A,B] : k3_xboole_0(A,k2_xboole_0(A,B)) = A,
inference(fof_nnf,[status(thm)],[t21_xboole_1]) ).
fof(f_90_2,plain,
! [U_331,U_330] : k3_xboole_0(U_331,k2_xboole_0(U_331,U_330)) = U_331,
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
! [U_330,U_331] : k3_xboole_0(U_331,k2_xboole_0(U_331,U_330)) = U_331,
inference(definitional_conversion,[status(esa)],[f_90_2]) ).
cnf(f_90_4,plain,
k3_xboole_0(U_331,k2_xboole_0(U_331,U_330)) = U_331,
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
! [A,B] : k2_xboole_0(A,k3_xboole_0(A,B)) = A,
inference(fof_nnf,[status(thm)],[t22_xboole_1]) ).
fof(f_91_2,plain,
! [U_333,U_332] : k2_xboole_0(U_333,k3_xboole_0(U_333,U_332)) = U_333,
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
! [U_332,U_333] : k2_xboole_0(U_333,k3_xboole_0(U_333,U_332)) = U_333,
inference(definitional_conversion,[status(esa)],[f_91_2]) ).
cnf(f_91_4,plain,
k2_xboole_0(U_333,k3_xboole_0(U_333,U_332)) = U_333,
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [A,B,C] : k3_xboole_0(A,k2_xboole_0(B,C)) = k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t23_xboole_1]) ).
fof(f_92_2,plain,
! [U_336,U_335,U_334] : k3_xboole_0(U_336,k2_xboole_0(U_335,U_334)) = k2_xboole_0(k3_xboole_0(U_336,U_335),k3_xboole_0(U_336,U_334)),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_335,U_336,U_334] : k3_xboole_0(U_336,k2_xboole_0(U_335,U_334)) = k2_xboole_0(k3_xboole_0(U_336,U_335),k3_xboole_0(U_336,U_334)),
inference(definitional_conversion,[status(esa)],[f_92_2]) ).
cnf(f_92_4,plain,
k3_xboole_0(U_336,k2_xboole_0(U_335,U_334)) = k2_xboole_0(k3_xboole_0(U_336,U_335),k3_xboole_0(U_336,U_334)),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [A,B,C] : k2_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t24_xboole_1]) ).
fof(f_93_2,plain,
! [U_339,U_338,U_337] : k2_xboole_0(U_339,k3_xboole_0(U_338,U_337)) = k3_xboole_0(k2_xboole_0(U_339,U_338),k2_xboole_0(U_339,U_337)),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_339,U_337,U_338] : k2_xboole_0(U_339,k3_xboole_0(U_338,U_337)) = k3_xboole_0(k2_xboole_0(U_339,U_338),k2_xboole_0(U_339,U_337)),
inference(definitional_conversion,[status(esa)],[f_93_2]) ).
cnf(f_93_4,plain,
k2_xboole_0(U_339,k3_xboole_0(U_338,U_337)) = k3_xboole_0(k2_xboole_0(U_339,U_338),k2_xboole_0(U_339,U_337)),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [A,B,C] : k2_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(B,C)),k3_xboole_0(C,A)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(B,C)),k2_xboole_0(C,A)),
inference(fof_nnf,[status(thm)],[t25_xboole_1]) ).
fof(f_94_2,plain,
! [U_342,U_341,U_340] : k2_xboole_0(k2_xboole_0(k3_xboole_0(U_342,U_341),k3_xboole_0(U_341,U_340)),k3_xboole_0(U_340,U_342)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(U_342,U_341),k2_xboole_0(U_341,U_340)),k2_xboole_0(U_340,U_342)),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_340,U_341,U_342] : k2_xboole_0(k2_xboole_0(k3_xboole_0(U_342,U_341),k3_xboole_0(U_341,U_340)),k3_xboole_0(U_340,U_342)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(U_342,U_341),k2_xboole_0(U_341,U_340)),k2_xboole_0(U_340,U_342)),
inference(definitional_conversion,[status(esa)],[f_94_2]) ).
cnf(f_94_4,plain,
k2_xboole_0(k2_xboole_0(k3_xboole_0(U_342,U_341),k3_xboole_0(U_341,U_340)),k3_xboole_0(U_340,U_342)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(U_342,U_341),k2_xboole_0(U_341,U_340)),k2_xboole_0(U_340,U_342)),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [A,B,C] :
( r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,C))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t26_xboole_1]) ).
fof(f_95_2,plain,
! [U_345,U_344,U_343] :
( r1_tarski(k3_xboole_0(U_345,U_343),k3_xboole_0(U_344,U_343))
| ~ r1_tarski(U_345,U_344) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
! [U_345,U_344] :
( ! [U_343] : r1_tarski(k3_xboole_0(U_345,U_343),k3_xboole_0(U_344,U_343))
| ~ r1_tarski(U_345,U_344) ),
inference(miniscope,[status(thm)],[f_95_2]) ).
fof(f_95_4,plain,
! [U_343,U_344,U_345] :
( r1_tarski(k3_xboole_0(U_345,U_343),k3_xboole_0(U_344,U_343))
| ~ r1_tarski(U_345,U_344) ),
inference(definitional_conversion,[status(esa)],[f_95_3]) ).
cnf(f_95_5,plain,
( r1_tarski(k3_xboole_0(U_345,U_343),k3_xboole_0(U_344,U_343))
| ~ r1_tarski(U_345,U_344) ),
inference(clausify,[status(thm)],[f_95_4]) ).
fof(f_96_1,plain,
! [A,B,C,D] :
( r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,D))
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t27_xboole_1]) ).
fof(f_96_2,plain,
! [U_349,U_348,U_347,U_346] :
( r1_tarski(k3_xboole_0(U_349,U_347),k3_xboole_0(U_348,U_346))
| ~ r1_tarski(U_347,U_346)
| ~ r1_tarski(U_349,U_348) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
! [U_349,U_346,U_347,U_348] :
( r1_tarski(k3_xboole_0(U_349,U_347),k3_xboole_0(U_348,U_346))
| ~ r1_tarski(U_347,U_346)
| ~ r1_tarski(U_349,U_348) ),
inference(definitional_conversion,[status(esa)],[f_96_2]) ).
cnf(f_96_4,plain,
( r1_tarski(k3_xboole_0(U_349,U_347),k3_xboole_0(U_348,U_346))
| ~ r1_tarski(U_347,U_346)
| ~ r1_tarski(U_349,U_348) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [A,B] :
( k3_xboole_0(A,B) = A
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t28_xboole_1]) ).
fof(f_97_2,plain,
! [U_351,U_350] :
( k3_xboole_0(U_351,U_350) = U_351
| ~ r1_tarski(U_351,U_350) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
! [U_350,U_351] :
( k3_xboole_0(U_351,U_350) = U_351
| ~ r1_tarski(U_351,U_350) ),
inference(definitional_conversion,[status(esa)],[f_97_2]) ).
cnf(f_97_4,plain,
( k3_xboole_0(U_351,U_350) = U_351
| ~ r1_tarski(U_351,U_350) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_1,plain,
! [A,B,C] : r1_tarski(k3_xboole_0(A,B),k2_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t29_xboole_1]) ).
fof(f_98_2,plain,
! [U_354,U_353,U_352] : r1_tarski(k3_xboole_0(U_354,U_353),k2_xboole_0(U_354,U_352)),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
! [U_352,U_353,U_354] : r1_tarski(k3_xboole_0(U_354,U_353),k2_xboole_0(U_354,U_352)),
inference(definitional_conversion,[status(esa)],[f_98_2]) ).
cnf(f_98_4,plain,
r1_tarski(k3_xboole_0(U_354,U_353),k2_xboole_0(U_354,U_352)),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [A,B,C] :
( k2_xboole_0(A,k3_xboole_0(C,B)) = k3_xboole_0(k2_xboole_0(A,C),B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t30_xboole_1]) ).
fof(f_99_2,plain,
! [U_357,U_356,U_355] :
( k2_xboole_0(U_357,k3_xboole_0(U_355,U_356)) = k3_xboole_0(k2_xboole_0(U_357,U_355),U_356)
| ~ r1_tarski(U_357,U_356) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_357,U_356] :
( ! [U_355] : k2_xboole_0(U_357,k3_xboole_0(U_355,U_356)) = k3_xboole_0(k2_xboole_0(U_357,U_355),U_356)
| ~ r1_tarski(U_357,U_356) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
fof(f_99_4,plain,
! [U_357,U_356,U_355] :
( k2_xboole_0(U_357,k3_xboole_0(U_355,U_356)) = k3_xboole_0(k2_xboole_0(U_357,U_355),U_356)
| ~ r1_tarski(U_357,U_356) ),
inference(definitional_conversion,[status(esa)],[f_99_3]) ).
cnf(f_99_5,plain,
( k2_xboole_0(U_357,k3_xboole_0(U_355,U_356)) = k3_xboole_0(k2_xboole_0(U_357,U_355),U_356)
| ~ r1_tarski(U_357,U_356) ),
inference(clausify,[status(thm)],[f_99_4]) ).
fof(f_100_1,plain,
! [A,B,C] : r1_tarski(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),k2_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t31_xboole_1]) ).
fof(f_100_2,plain,
! [U_360,U_359,U_358] : r1_tarski(k2_xboole_0(k3_xboole_0(U_360,U_359),k3_xboole_0(U_360,U_358)),k2_xboole_0(U_359,U_358)),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
! [U_359,U_360,U_358] : r1_tarski(k2_xboole_0(k3_xboole_0(U_360,U_359),k3_xboole_0(U_360,U_358)),k2_xboole_0(U_359,U_358)),
inference(definitional_conversion,[status(esa)],[f_100_2]) ).
cnf(f_100_4,plain,
r1_tarski(k2_xboole_0(k3_xboole_0(U_360,U_359),k3_xboole_0(U_360,U_358)),k2_xboole_0(U_359,U_358)),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [A,B] :
( A = B
| k4_xboole_0(A,B) != k4_xboole_0(B,A) ),
inference(fof_nnf,[status(thm)],[t32_xboole_1]) ).
fof(f_101_2,plain,
! [U_362,U_361] :
( U_362 = U_361
| k4_xboole_0(U_362,U_361) != k4_xboole_0(U_361,U_362) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
! [U_361,U_362] :
( U_362 = U_361
| k4_xboole_0(U_362,U_361) != k4_xboole_0(U_361,U_362) ),
inference(definitional_conversion,[status(esa)],[f_101_2]) ).
cnf(f_101_4,plain,
( U_362 = U_361
| k4_xboole_0(U_362,U_361) != k4_xboole_0(U_361,U_362) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [A,B,C] :
( r1_tarski(k4_xboole_0(A,C),k4_xboole_0(B,C))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t33_xboole_1]) ).
fof(f_102_2,plain,
! [U_365,U_364,U_363] :
( r1_tarski(k4_xboole_0(U_365,U_363),k4_xboole_0(U_364,U_363))
| ~ r1_tarski(U_365,U_364) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_365,U_364] :
( ! [U_363] : r1_tarski(k4_xboole_0(U_365,U_363),k4_xboole_0(U_364,U_363))
| ~ r1_tarski(U_365,U_364) ),
inference(miniscope,[status(thm)],[f_102_2]) ).
fof(f_102_4,plain,
! [U_364,U_363,U_365] :
( r1_tarski(k4_xboole_0(U_365,U_363),k4_xboole_0(U_364,U_363))
| ~ r1_tarski(U_365,U_364) ),
inference(definitional_conversion,[status(esa)],[f_102_3]) ).
cnf(f_102_5,plain,
( r1_tarski(k4_xboole_0(U_365,U_363),k4_xboole_0(U_364,U_363))
| ~ r1_tarski(U_365,U_364) ),
inference(clausify,[status(thm)],[f_102_4]) ).
fof(f_103_1,plain,
! [A,B,C] :
( r1_tarski(k4_xboole_0(C,B),k4_xboole_0(C,A))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t34_xboole_1]) ).
fof(f_103_2,plain,
! [U_368,U_367,U_366] :
( r1_tarski(k4_xboole_0(U_366,U_367),k4_xboole_0(U_366,U_368))
| ~ r1_tarski(U_368,U_367) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
! [U_368,U_367] :
( ! [U_366] : r1_tarski(k4_xboole_0(U_366,U_367),k4_xboole_0(U_366,U_368))
| ~ r1_tarski(U_368,U_367) ),
inference(miniscope,[status(thm)],[f_103_2]) ).
fof(f_103_4,plain,
! [U_366,U_367,U_368] :
( r1_tarski(k4_xboole_0(U_366,U_367),k4_xboole_0(U_366,U_368))
| ~ r1_tarski(U_368,U_367) ),
inference(definitional_conversion,[status(esa)],[f_103_3]) ).
cnf(f_103_5,plain,
( r1_tarski(k4_xboole_0(U_366,U_367),k4_xboole_0(U_366,U_368))
| ~ r1_tarski(U_368,U_367) ),
inference(clausify,[status(thm)],[f_103_4]) ).
fof(f_104_1,plain,
! [A,B,C,D] :
( r1_tarski(k4_xboole_0(A,D),k4_xboole_0(B,C))
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t35_xboole_1]) ).
fof(f_104_2,plain,
! [U_372,U_371,U_370,U_369] :
( r1_tarski(k4_xboole_0(U_372,U_369),k4_xboole_0(U_371,U_370))
| ~ r1_tarski(U_370,U_369)
| ~ r1_tarski(U_372,U_371) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
! [U_370,U_371,U_372,U_369] :
( r1_tarski(k4_xboole_0(U_372,U_369),k4_xboole_0(U_371,U_370))
| ~ r1_tarski(U_370,U_369)
| ~ r1_tarski(U_372,U_371) ),
inference(definitional_conversion,[status(esa)],[f_104_2]) ).
cnf(f_104_4,plain,
( r1_tarski(k4_xboole_0(U_372,U_369),k4_xboole_0(U_371,U_370))
| ~ r1_tarski(U_370,U_369)
| ~ r1_tarski(U_372,U_371) ),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [A,B] : r1_tarski(k4_xboole_0(A,B),A),
inference(fof_nnf,[status(thm)],[t36_xboole_1]) ).
fof(f_105_2,plain,
! [U_374,U_373] : r1_tarski(k4_xboole_0(U_374,U_373),U_374),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
! [U_374,U_373] : r1_tarski(k4_xboole_0(U_374,U_373),U_374),
inference(definitional_conversion,[status(esa)],[f_105_2]) ).
cnf(f_105_4,plain,
r1_tarski(k4_xboole_0(U_374,U_373),U_374),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_1,plain,
! [A,B] :
( ( k4_xboole_0(A,B) = k1_xboole_0
| ~ r1_tarski(A,B) )
& ( r1_tarski(A,B)
| k4_xboole_0(A,B) != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[t37_xboole_1]) ).
fof(f_106_2,plain,
! [U_376,U_375] :
( ( k4_xboole_0(U_376,U_375) = k1_xboole_0
| ~ r1_tarski(U_376,U_375) )
& ( r1_tarski(U_376,U_375)
| k4_xboole_0(U_376,U_375) != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_380,U_378] :
( k4_xboole_0(U_380,U_378) = k1_xboole_0
| ~ r1_tarski(U_380,U_378) )
& ! [U_379,U_377] :
( r1_tarski(U_379,U_377)
| k4_xboole_0(U_379,U_377) != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
fof(f_106_4,plain,
( ! [U_378,U_380] :
( k4_xboole_0(U_380,U_378) = k1_xboole_0
| ~ r1_tarski(U_380,U_378) )
& ! [U_377,U_379] :
( r1_tarski(U_379,U_377)
| k4_xboole_0(U_379,U_377) != k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa)],[f_106_3]) ).
cnf(f_106_5,plain,
( r1_tarski(U_379,U_377)
| k4_xboole_0(U_379,U_377) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_106_4]) ).
cnf(f_106_6,plain,
( k4_xboole_0(U_380,U_378) = k1_xboole_0
| ~ r1_tarski(U_380,U_378) ),
inference(clausify,[status(thm)],[f_106_4]) ).
fof(f_107_1,plain,
! [A,B] :
( A = k1_xboole_0
| ~ r1_tarski(A,k4_xboole_0(B,A)) ),
inference(fof_nnf,[status(thm)],[t38_xboole_1]) ).
fof(f_107_2,plain,
! [U_382,U_381] :
( U_382 = k1_xboole_0
| ~ r1_tarski(U_382,k4_xboole_0(U_381,U_382)) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
! [U_382] :
( ! [U_381] : ~ r1_tarski(U_382,k4_xboole_0(U_381,U_382))
| U_382 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_107_2]) ).
fof(f_107_4,plain,
! [U_382,U_381] :
( ~ r1_tarski(U_382,k4_xboole_0(U_381,U_382))
| U_382 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_107_3]) ).
cnf(f_107_5,plain,
( ~ r1_tarski(U_382,k4_xboole_0(U_381,U_382))
| U_382 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_107_4]) ).
fof(f_108_1,plain,
! [A,B] : k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B),
inference(fof_nnf,[status(thm)],[t39_xboole_1]) ).
fof(f_108_2,plain,
! [U_384,U_383] : k2_xboole_0(U_384,k4_xboole_0(U_383,U_384)) = k2_xboole_0(U_384,U_383),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
! [U_383,U_384] : k2_xboole_0(U_384,k4_xboole_0(U_383,U_384)) = k2_xboole_0(U_384,U_383),
inference(definitional_conversion,[status(esa)],[f_108_2]) ).
cnf(f_108_4,plain,
k2_xboole_0(U_384,k4_xboole_0(U_383,U_384)) = k2_xboole_0(U_384,U_383),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_1,plain,
! [A,B] : k4_xboole_0(k2_xboole_0(A,B),B) = k4_xboole_0(A,B),
inference(fof_nnf,[status(thm)],[t40_xboole_1]) ).
fof(f_109_2,plain,
! [U_386,U_385] : k4_xboole_0(k2_xboole_0(U_386,U_385),U_385) = k4_xboole_0(U_386,U_385),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
! [U_385,U_386] : k4_xboole_0(k2_xboole_0(U_386,U_385),U_385) = k4_xboole_0(U_386,U_385),
inference(definitional_conversion,[status(esa)],[f_109_2]) ).
cnf(f_109_4,plain,
k4_xboole_0(k2_xboole_0(U_386,U_385),U_385) = k4_xboole_0(U_386,U_385),
inference(clausify,[status(thm)],[f_109_3]) ).
fof(f_110_1,plain,
! [A,B,C] : k4_xboole_0(k4_xboole_0(A,B),C) = k4_xboole_0(A,k2_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t41_xboole_1]) ).
fof(f_110_2,plain,
! [U_389,U_388,U_387] : k4_xboole_0(k4_xboole_0(U_389,U_388),U_387) = k4_xboole_0(U_389,k2_xboole_0(U_388,U_387)),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
! [U_389,U_388,U_387] : k4_xboole_0(k4_xboole_0(U_389,U_388),U_387) = k4_xboole_0(U_389,k2_xboole_0(U_388,U_387)),
inference(definitional_conversion,[status(esa)],[f_110_2]) ).
cnf(f_110_4,plain,
k4_xboole_0(k4_xboole_0(U_389,U_388),U_387) = k4_xboole_0(U_389,k2_xboole_0(U_388,U_387)),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [A,B,C] : k4_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,C),k4_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t42_xboole_1]) ).
fof(f_111_2,plain,
! [U_392,U_391,U_390] : k4_xboole_0(k2_xboole_0(U_392,U_391),U_390) = k2_xboole_0(k4_xboole_0(U_392,U_390),k4_xboole_0(U_391,U_390)),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
! [U_391,U_392,U_390] : k4_xboole_0(k2_xboole_0(U_392,U_391),U_390) = k2_xboole_0(k4_xboole_0(U_392,U_390),k4_xboole_0(U_391,U_390)),
inference(definitional_conversion,[status(esa)],[f_111_2]) ).
cnf(f_111_4,plain,
k4_xboole_0(k2_xboole_0(U_392,U_391),U_390) = k2_xboole_0(k4_xboole_0(U_392,U_390),k4_xboole_0(U_391,U_390)),
inference(clausify,[status(thm)],[f_111_3]) ).
fof(f_112_1,plain,
! [A,B,C] :
( r1_tarski(k4_xboole_0(A,B),C)
| ~ r1_tarski(A,k2_xboole_0(B,C)) ),
inference(fof_nnf,[status(thm)],[t43_xboole_1]) ).
fof(f_112_2,plain,
! [U_395,U_394,U_393] :
( r1_tarski(k4_xboole_0(U_395,U_394),U_393)
| ~ r1_tarski(U_395,k2_xboole_0(U_394,U_393)) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_394,U_393,U_395] :
( r1_tarski(k4_xboole_0(U_395,U_394),U_393)
| ~ r1_tarski(U_395,k2_xboole_0(U_394,U_393)) ),
inference(definitional_conversion,[status(esa)],[f_112_2]) ).
cnf(f_112_4,plain,
( r1_tarski(k4_xboole_0(U_395,U_394),U_393)
| ~ r1_tarski(U_395,k2_xboole_0(U_394,U_393)) ),
inference(clausify,[status(thm)],[f_112_3]) ).
fof(f_113_1,plain,
! [A,B,C] :
( r1_tarski(A,k2_xboole_0(B,C))
| ~ r1_tarski(k4_xboole_0(A,B),C) ),
inference(fof_nnf,[status(thm)],[t44_xboole_1]) ).
fof(f_113_2,plain,
! [U_398,U_397,U_396] :
( r1_tarski(U_398,k2_xboole_0(U_397,U_396))
| ~ r1_tarski(k4_xboole_0(U_398,U_397),U_396) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_398,U_396,U_397] :
( r1_tarski(U_398,k2_xboole_0(U_397,U_396))
| ~ r1_tarski(k4_xboole_0(U_398,U_397),U_396) ),
inference(definitional_conversion,[status(esa)],[f_113_2]) ).
cnf(f_113_4,plain,
( r1_tarski(U_398,k2_xboole_0(U_397,U_396))
| ~ r1_tarski(k4_xboole_0(U_398,U_397),U_396) ),
inference(clausify,[status(thm)],[f_113_3]) ).
fof(f_114_1,plain,
! [A,B] :
( B = k2_xboole_0(A,k4_xboole_0(B,A))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t45_xboole_1]) ).
fof(f_114_2,plain,
! [U_400,U_399] :
( U_399 = k2_xboole_0(U_400,k4_xboole_0(U_399,U_400))
| ~ r1_tarski(U_400,U_399) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
! [U_399,U_400] :
( U_399 = k2_xboole_0(U_400,k4_xboole_0(U_399,U_400))
| ~ r1_tarski(U_400,U_399) ),
inference(definitional_conversion,[status(esa)],[f_114_2]) ).
cnf(f_114_4,plain,
( U_399 = k2_xboole_0(U_400,k4_xboole_0(U_399,U_400))
| ~ r1_tarski(U_400,U_399) ),
inference(clausify,[status(thm)],[f_114_3]) ).
fof(f_115_1,plain,
! [A,B] : k4_xboole_0(A,k2_xboole_0(A,B)) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t46_xboole_1]) ).
fof(f_115_2,plain,
! [U_402,U_401] : k4_xboole_0(U_402,k2_xboole_0(U_402,U_401)) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_401,U_402] : k4_xboole_0(U_402,k2_xboole_0(U_402,U_401)) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_115_2]) ).
cnf(f_115_4,plain,
k4_xboole_0(U_402,k2_xboole_0(U_402,U_401)) = k1_xboole_0,
inference(clausify,[status(thm)],[f_115_3]) ).
fof(f_116_1,plain,
! [A,B] : k4_xboole_0(A,k3_xboole_0(A,B)) = k4_xboole_0(A,B),
inference(fof_nnf,[status(thm)],[t47_xboole_1]) ).
fof(f_116_2,plain,
! [U_404,U_403] : k4_xboole_0(U_404,k3_xboole_0(U_404,U_403)) = k4_xboole_0(U_404,U_403),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
! [U_403,U_404] : k4_xboole_0(U_404,k3_xboole_0(U_404,U_403)) = k4_xboole_0(U_404,U_403),
inference(definitional_conversion,[status(esa)],[f_116_2]) ).
cnf(f_116_4,plain,
k4_xboole_0(U_404,k3_xboole_0(U_404,U_403)) = k4_xboole_0(U_404,U_403),
inference(clausify,[status(thm)],[f_116_3]) ).
fof(f_117_1,plain,
! [A,B] : k4_xboole_0(A,k4_xboole_0(A,B)) = k3_xboole_0(A,B),
inference(fof_nnf,[status(thm)],[t48_xboole_1]) ).
fof(f_117_2,plain,
! [U_406,U_405] : k4_xboole_0(U_406,k4_xboole_0(U_406,U_405)) = k3_xboole_0(U_406,U_405),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_406,U_405] : k4_xboole_0(U_406,k4_xboole_0(U_406,U_405)) = k3_xboole_0(U_406,U_405),
inference(definitional_conversion,[status(esa)],[f_117_2]) ).
cnf(f_117_4,plain,
k4_xboole_0(U_406,k4_xboole_0(U_406,U_405)) = k3_xboole_0(U_406,U_405),
inference(clausify,[status(thm)],[f_117_3]) ).
fof(f_118_1,plain,
! [A,B,C] : k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),C),
inference(fof_nnf,[status(thm)],[t49_xboole_1]) ).
fof(f_118_2,plain,
! [U_409,U_408,U_407] : k3_xboole_0(U_409,k4_xboole_0(U_408,U_407)) = k4_xboole_0(k3_xboole_0(U_409,U_408),U_407),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
! [U_407,U_408,U_409] : k3_xboole_0(U_409,k4_xboole_0(U_408,U_407)) = k4_xboole_0(k3_xboole_0(U_409,U_408),U_407),
inference(definitional_conversion,[status(esa)],[f_118_2]) ).
cnf(f_118_4,plain,
k3_xboole_0(U_409,k4_xboole_0(U_408,U_407)) = k4_xboole_0(k3_xboole_0(U_409,U_408),U_407),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [A,B,C] : k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t50_xboole_1]) ).
fof(f_119_2,plain,
! [U_412,U_411,U_410] : k3_xboole_0(U_412,k4_xboole_0(U_411,U_410)) = k4_xboole_0(k3_xboole_0(U_412,U_411),k3_xboole_0(U_412,U_410)),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
! [U_411,U_410,U_412] : k3_xboole_0(U_412,k4_xboole_0(U_411,U_410)) = k4_xboole_0(k3_xboole_0(U_412,U_411),k3_xboole_0(U_412,U_410)),
inference(definitional_conversion,[status(esa)],[f_119_2]) ).
cnf(f_119_4,plain,
k3_xboole_0(U_412,k4_xboole_0(U_411,U_410)) = k4_xboole_0(k3_xboole_0(U_412,U_411),k3_xboole_0(U_412,U_410)),
inference(clausify,[status(thm)],[f_119_3]) ).
fof(f_120_1,plain,
! [A,B] : k2_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B)) = A,
inference(fof_nnf,[status(thm)],[t51_xboole_1]) ).
fof(f_120_2,plain,
! [U_414,U_413] : k2_xboole_0(k3_xboole_0(U_414,U_413),k4_xboole_0(U_414,U_413)) = U_414,
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
! [U_414,U_413] : k2_xboole_0(k3_xboole_0(U_414,U_413),k4_xboole_0(U_414,U_413)) = U_414,
inference(definitional_conversion,[status(esa)],[f_120_2]) ).
cnf(f_120_4,plain,
k2_xboole_0(k3_xboole_0(U_414,U_413),k4_xboole_0(U_414,U_413)) = U_414,
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [A,B,C] : k4_xboole_0(A,k4_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k3_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t52_xboole_1]) ).
fof(f_121_2,plain,
! [U_417,U_416,U_415] : k4_xboole_0(U_417,k4_xboole_0(U_416,U_415)) = k2_xboole_0(k4_xboole_0(U_417,U_416),k3_xboole_0(U_417,U_415)),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
! [U_416,U_417,U_415] : k4_xboole_0(U_417,k4_xboole_0(U_416,U_415)) = k2_xboole_0(k4_xboole_0(U_417,U_416),k3_xboole_0(U_417,U_415)),
inference(definitional_conversion,[status(esa)],[f_121_2]) ).
cnf(f_121_4,plain,
k4_xboole_0(U_417,k4_xboole_0(U_416,U_415)) = k2_xboole_0(k4_xboole_0(U_417,U_416),k3_xboole_0(U_417,U_415)),
inference(clausify,[status(thm)],[f_121_3]) ).
fof(f_122_1,plain,
! [A,B,C] : k4_xboole_0(A,k2_xboole_0(B,C)) = k3_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t53_xboole_1]) ).
fof(f_122_2,plain,
! [U_420,U_419,U_418] : k4_xboole_0(U_420,k2_xboole_0(U_419,U_418)) = k3_xboole_0(k4_xboole_0(U_420,U_419),k4_xboole_0(U_420,U_418)),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
! [U_419,U_420,U_418] : k4_xboole_0(U_420,k2_xboole_0(U_419,U_418)) = k3_xboole_0(k4_xboole_0(U_420,U_419),k4_xboole_0(U_420,U_418)),
inference(definitional_conversion,[status(esa)],[f_122_2]) ).
cnf(f_122_4,plain,
k4_xboole_0(U_420,k2_xboole_0(U_419,U_418)) = k3_xboole_0(k4_xboole_0(U_420,U_419),k4_xboole_0(U_420,U_418)),
inference(clausify,[status(thm)],[f_122_3]) ).
fof(f_123_1,plain,
! [A,B,C] : k4_xboole_0(A,k3_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)),
inference(fof_nnf,[status(thm)],[t54_xboole_1]) ).
fof(f_123_2,plain,
! [U_423,U_422,U_421] : k4_xboole_0(U_423,k3_xboole_0(U_422,U_421)) = k2_xboole_0(k4_xboole_0(U_423,U_422),k4_xboole_0(U_423,U_421)),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
! [U_422,U_421,U_423] : k4_xboole_0(U_423,k3_xboole_0(U_422,U_421)) = k2_xboole_0(k4_xboole_0(U_423,U_422),k4_xboole_0(U_423,U_421)),
inference(definitional_conversion,[status(esa)],[f_123_2]) ).
cnf(f_123_4,plain,
k4_xboole_0(U_423,k3_xboole_0(U_422,U_421)) = k2_xboole_0(k4_xboole_0(U_423,U_422),k4_xboole_0(U_423,U_421)),
inference(clausify,[status(thm)],[f_123_3]) ).
fof(f_124_1,plain,
! [A,B] : k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
inference(fof_nnf,[status(thm)],[t55_xboole_1]) ).
fof(f_124_2,plain,
! [U_425,U_424] : k4_xboole_0(k2_xboole_0(U_425,U_424),k3_xboole_0(U_425,U_424)) = k2_xboole_0(k4_xboole_0(U_425,U_424),k4_xboole_0(U_424,U_425)),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
! [U_425,U_424] : k4_xboole_0(k2_xboole_0(U_425,U_424),k3_xboole_0(U_425,U_424)) = k2_xboole_0(k4_xboole_0(U_425,U_424),k4_xboole_0(U_424,U_425)),
inference(definitional_conversion,[status(esa)],[f_124_2]) ).
cnf(f_124_4,plain,
k4_xboole_0(k2_xboole_0(U_425,U_424),k3_xboole_0(U_425,U_424)) = k2_xboole_0(k4_xboole_0(U_425,U_424),k4_xboole_0(U_424,U_425)),
inference(clausify,[status(thm)],[f_124_3]) ).
fof(f_125_1,plain,
! [A,B,C] :
( r2_xboole_0(A,C)
| ~ r2_xboole_0(B,C)
| ~ r2_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t56_xboole_1]) ).
fof(f_125_2,plain,
! [U_428,U_427,U_426] :
( r2_xboole_0(U_428,U_426)
| ~ r2_xboole_0(U_427,U_426)
| ~ r2_xboole_0(U_428,U_427) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
! [U_428,U_426,U_427] :
( r2_xboole_0(U_428,U_426)
| ~ r2_xboole_0(U_427,U_426)
| ~ r2_xboole_0(U_428,U_427) ),
inference(definitional_conversion,[status(esa)],[f_125_2]) ).
cnf(f_125_4,plain,
( r2_xboole_0(U_428,U_426)
| ~ r2_xboole_0(U_427,U_426)
| ~ r2_xboole_0(U_428,U_427) ),
inference(clausify,[status(thm)],[f_125_3]) ).
fof(f_126_1,plain,
! [A,B] :
( ~ r2_xboole_0(B,A)
| ~ r2_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t57_xboole_1]) ).
fof(f_126_2,plain,
! [U_430,U_429] :
( ~ r2_xboole_0(U_429,U_430)
| ~ r2_xboole_0(U_430,U_429) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
! [U_430,U_429] :
( ~ r2_xboole_0(U_429,U_430)
| ~ r2_xboole_0(U_430,U_429) ),
inference(definitional_conversion,[status(esa)],[f_126_2]) ).
cnf(f_126_4,plain,
( ~ r2_xboole_0(U_429,U_430)
| ~ r2_xboole_0(U_430,U_429) ),
inference(clausify,[status(thm)],[f_126_3]) ).
fof(f_127_1,plain,
! [A,B,C] :
( r2_xboole_0(A,C)
| ~ r1_tarski(B,C)
| ~ r2_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t58_xboole_1]) ).
fof(f_127_2,plain,
! [U_433,U_432,U_431] :
( r2_xboole_0(U_433,U_431)
| ~ r1_tarski(U_432,U_431)
| ~ r2_xboole_0(U_433,U_432) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
! [U_431,U_432,U_433] :
( r2_xboole_0(U_433,U_431)
| ~ r1_tarski(U_432,U_431)
| ~ r2_xboole_0(U_433,U_432) ),
inference(definitional_conversion,[status(esa)],[f_127_2]) ).
cnf(f_127_4,plain,
( r2_xboole_0(U_433,U_431)
| ~ r1_tarski(U_432,U_431)
| ~ r2_xboole_0(U_433,U_432) ),
inference(clausify,[status(thm)],[f_127_3]) ).
fof(f_128_1,plain,
! [A,B,C] :
( r2_xboole_0(A,C)
| ~ r2_xboole_0(B,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t59_xboole_1]) ).
fof(f_128_2,plain,
! [U_436,U_435,U_434] :
( r2_xboole_0(U_436,U_434)
| ~ r2_xboole_0(U_435,U_434)
| ~ r1_tarski(U_436,U_435) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
! [U_434,U_435,U_436] :
( r2_xboole_0(U_436,U_434)
| ~ r2_xboole_0(U_435,U_434)
| ~ r1_tarski(U_436,U_435) ),
inference(definitional_conversion,[status(esa)],[f_128_2]) ).
cnf(f_128_4,plain,
( r2_xboole_0(U_436,U_434)
| ~ r2_xboole_0(U_435,U_434)
| ~ r1_tarski(U_436,U_435) ),
inference(clausify,[status(thm)],[f_128_3]) ).
fof(f_129_1,plain,
! [A,B] :
( ~ r2_xboole_0(B,A)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t60_xboole_1]) ).
fof(f_129_2,plain,
! [U_438,U_437] :
( ~ r2_xboole_0(U_437,U_438)
| ~ r1_tarski(U_438,U_437) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
! [U_438,U_437] :
( ~ r2_xboole_0(U_437,U_438)
| ~ r1_tarski(U_438,U_437) ),
inference(definitional_conversion,[status(esa)],[f_129_2]) ).
cnf(f_129_4,plain,
( ~ r2_xboole_0(U_437,U_438)
| ~ r1_tarski(U_438,U_437) ),
inference(clausify,[status(thm)],[f_129_3]) ).
fof(f_130_1,plain,
! [A] :
( r2_xboole_0(k1_xboole_0,A)
| A = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t61_xboole_1]) ).
fof(f_130_2,plain,
! [U_439] :
( r2_xboole_0(k1_xboole_0,U_439)
| U_439 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
! [U_439] :
( r2_xboole_0(k1_xboole_0,U_439)
| U_439 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_130_2]) ).
cnf(f_130_4,plain,
( r2_xboole_0(k1_xboole_0,U_439)
| U_439 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_130_3]) ).
fof(f_131_1,plain,
! [A] : ~ r2_xboole_0(A,k1_xboole_0),
inference(fof_nnf,[status(thm)],[t62_xboole_1]) ).
fof(f_131_2,plain,
! [U_440] : ~ r2_xboole_0(U_440,k1_xboole_0),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
! [U_440] : ~ r2_xboole_0(U_440,k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_131_2]) ).
cnf(f_131_4,plain,
~ r2_xboole_0(U_440,k1_xboole_0),
inference(clausify,[status(thm)],[f_131_3]) ).
fof(f_132_1,plain,
! [A,B,C] :
( r1_xboole_0(A,C)
| ~ r1_xboole_0(B,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t63_xboole_1]) ).
fof(f_132_2,plain,
! [U_443,U_442,U_441] :
( r1_xboole_0(U_443,U_441)
| ~ r1_xboole_0(U_442,U_441)
| ~ r1_tarski(U_443,U_442) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
! [U_441,U_442,U_443] :
( r1_xboole_0(U_443,U_441)
| ~ r1_xboole_0(U_442,U_441)
| ~ r1_tarski(U_443,U_442) ),
inference(definitional_conversion,[status(esa)],[f_132_2]) ).
cnf(f_132_4,plain,
( r1_xboole_0(U_443,U_441)
| ~ r1_xboole_0(U_442,U_441)
| ~ r1_tarski(U_443,U_442) ),
inference(clausify,[status(thm)],[f_132_3]) ).
fof(f_133_1,plain,
! [A,B,C,D] :
( r1_xboole_0(A,C)
| ~ r1_xboole_0(B,D)
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t64_xboole_1]) ).
fof(f_133_2,plain,
! [U_447,U_446,U_445,U_444] :
( r1_xboole_0(U_447,U_445)
| ~ r1_xboole_0(U_446,U_444)
| ~ r1_tarski(U_445,U_444)
| ~ r1_tarski(U_447,U_446) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
! [U_447,U_446,U_445] :
( ! [U_444] :
( ~ r1_xboole_0(U_446,U_444)
| ~ r1_tarski(U_445,U_444) )
| ~ r1_tarski(U_447,U_446)
| r1_xboole_0(U_447,U_445) ),
inference(miniscope,[status(thm)],[f_133_2]) ).
fof(f_133_4,plain,
! [U_446,U_444,U_447,U_445] :
( ~ r1_xboole_0(U_446,U_444)
| ~ r1_tarski(U_445,U_444)
| ~ r1_tarski(U_447,U_446)
| r1_xboole_0(U_447,U_445) ),
inference(definitional_conversion,[status(esa)],[f_133_3]) ).
cnf(f_133_5,plain,
( ~ r1_xboole_0(U_446,U_444)
| ~ r1_tarski(U_445,U_444)
| ~ r1_tarski(U_447,U_446)
| r1_xboole_0(U_447,U_445) ),
inference(clausify,[status(thm)],[f_133_4]) ).
fof(f_134_1,plain,
! [A] : r1_xboole_0(A,k1_xboole_0),
inference(fof_nnf,[status(thm)],[t65_xboole_1]) ).
fof(f_134_2,plain,
! [U_448] : r1_xboole_0(U_448,k1_xboole_0),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
! [U_448] : r1_xboole_0(U_448,k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_134_2]) ).
cnf(f_134_4,plain,
r1_xboole_0(U_448,k1_xboole_0),
inference(clausify,[status(thm)],[f_134_3]) ).
fof(f_135_1,plain,
! [A] :
( ( ~ r1_xboole_0(A,A)
| A = k1_xboole_0 )
& ( A != k1_xboole_0
| r1_xboole_0(A,A) ) ),
inference(fof_nnf,[status(thm)],[t66_xboole_1]) ).
fof(f_135_2,plain,
! [U_449] :
( ( ~ r1_xboole_0(U_449,U_449)
| U_449 = k1_xboole_0 )
& ( U_449 != k1_xboole_0
| r1_xboole_0(U_449,U_449) ) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
( ! [U_451] :
( ~ r1_xboole_0(U_451,U_451)
| U_451 = k1_xboole_0 )
& ! [U_450] :
( U_450 != k1_xboole_0
| r1_xboole_0(U_450,U_450) ) ),
inference(miniscope,[status(thm)],[f_135_2]) ).
fof(f_135_4,plain,
( ! [U_451] :
( ~ r1_xboole_0(U_451,U_451)
| U_451 = k1_xboole_0 )
& ! [U_450] :
( U_450 != k1_xboole_0
| r1_xboole_0(U_450,U_450) ) ),
inference(definitional_conversion,[status(esa)],[f_135_3]) ).
cnf(f_135_5,plain,
( U_450 != k1_xboole_0
| r1_xboole_0(U_450,U_450) ),
inference(clausify,[status(thm)],[f_135_4]) ).
cnf(f_135_6,plain,
( ~ r1_xboole_0(U_451,U_451)
| U_451 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_135_4]) ).
fof(f_136_1,plain,
! [A,B,C] :
( A = k1_xboole_0
| ~ r1_xboole_0(B,C)
| ~ r1_tarski(A,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t67_xboole_1]) ).
fof(f_136_2,plain,
! [U_454,U_453,U_452] :
( U_454 = k1_xboole_0
| ~ r1_xboole_0(U_453,U_452)
| ~ r1_tarski(U_454,U_452)
| ~ r1_tarski(U_454,U_453) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
! [U_454] :
( ! [U_453] :
( ! [U_452] :
( ~ r1_xboole_0(U_453,U_452)
| ~ r1_tarski(U_454,U_452) )
| ~ r1_tarski(U_454,U_453) )
| U_454 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_136_2]) ).
fof(f_136_4,plain,
! [U_452,U_454,U_453] :
( ~ r1_xboole_0(U_453,U_452)
| ~ r1_tarski(U_454,U_452)
| ~ r1_tarski(U_454,U_453)
| U_454 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_136_3]) ).
cnf(f_136_5,plain,
( ~ r1_xboole_0(U_453,U_452)
| ~ r1_tarski(U_454,U_452)
| ~ r1_tarski(U_454,U_453)
| U_454 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [A,B,C] :
( ~ r1_xboole_0(A,B)
| ~ r1_tarski(C,B)
| ~ r1_tarski(C,A)
| v1_xboole_0(C) ),
inference(fof_nnf,[status(thm)],[t68_xboole_1]) ).
fof(f_137_2,plain,
! [U_457,U_456,U_455] :
( ~ r1_xboole_0(U_457,U_456)
| ~ r1_tarski(U_455,U_456)
| ~ r1_tarski(U_455,U_457)
| v1_xboole_0(U_455) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
! [U_457,U_456,U_455] :
( ~ r1_xboole_0(U_457,U_456)
| ~ r1_tarski(U_455,U_456)
| ~ r1_tarski(U_455,U_457)
| v1_xboole_0(U_455) ),
inference(definitional_conversion,[status(esa)],[f_137_2]) ).
cnf(f_137_4,plain,
( ~ r1_xboole_0(U_457,U_456)
| ~ r1_tarski(U_455,U_456)
| ~ r1_tarski(U_455,U_457)
| v1_xboole_0(U_455) ),
inference(clausify,[status(thm)],[f_137_3]) ).
fof(f_138_1,plain,
! [A,B] :
( ~ r1_xboole_0(B,A)
| ~ r1_tarski(B,A)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[t69_xboole_1]) ).
fof(f_138_2,plain,
! [U_459,U_458] :
( ~ r1_xboole_0(U_458,U_459)
| ~ r1_tarski(U_458,U_459)
| v1_xboole_0(U_458) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
! [U_459,U_458] :
( ~ r1_xboole_0(U_458,U_459)
| ~ r1_tarski(U_458,U_459)
| v1_xboole_0(U_458) ),
inference(definitional_conversion,[status(esa)],[f_138_2]) ).
cnf(f_138_4,plain,
( ~ r1_xboole_0(U_458,U_459)
| ~ r1_tarski(U_458,U_459)
| v1_xboole_0(U_458) ),
inference(clausify,[status(thm)],[f_138_3]) ).
fof(f_139_1,plain,
! [A,B,C] :
( ( ~ r1_xboole_0(A,k2_xboole_0(B,C))
| ( r1_xboole_0(A,C)
& r1_xboole_0(A,B) ) )
& ( ~ r1_xboole_0(A,C)
| ~ r1_xboole_0(A,B)
| r1_xboole_0(A,k2_xboole_0(B,C)) ) ),
inference(fof_nnf,[status(thm)],[t70_xboole_1]) ).
fof(f_139_2,plain,
! [U_462,U_461,U_460] :
( ( ~ r1_xboole_0(U_462,k2_xboole_0(U_461,U_460))
| ( r1_xboole_0(U_462,U_460)
& r1_xboole_0(U_462,U_461) ) )
& ( ~ r1_xboole_0(U_462,U_460)
| ~ r1_xboole_0(U_462,U_461)
| r1_xboole_0(U_462,k2_xboole_0(U_461,U_460)) ) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
( ! [U_468,U_466,U_464] :
( ~ r1_xboole_0(U_468,k2_xboole_0(U_466,U_464))
| ( r1_xboole_0(U_468,U_464)
& r1_xboole_0(U_468,U_466) ) )
& ! [U_467,U_465] :
( ! [U_463] :
( ~ r1_xboole_0(U_467,U_463)
| r1_xboole_0(U_467,k2_xboole_0(U_465,U_463)) )
| ~ r1_xboole_0(U_467,U_465) ) ),
inference(miniscope,[status(thm)],[f_139_2]) ).
fof(f_139_4,plain,
( ! [U_466,U_468,U_464] :
( r1_xboole_0(U_468,U_464)
| ~ sP64(U_466,U_468,U_464) )
& ! [U_466,U_468,U_464] :
( r1_xboole_0(U_468,U_466)
| ~ sP64(U_466,U_468,U_464) )
& ! [U_466,U_468,U_464] :
( ~ r1_xboole_0(U_468,k2_xboole_0(U_466,U_464))
| sP64(U_466,U_468,U_464) )
& ! [U_467,U_465,U_463] :
( ~ r1_xboole_0(U_467,U_463)
| r1_xboole_0(U_467,k2_xboole_0(U_465,U_463))
| ~ r1_xboole_0(U_467,U_465) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP64])],[f_139_3]) ).
cnf(f_139_5,plain,
( ~ r1_xboole_0(U_467,U_463)
| r1_xboole_0(U_467,k2_xboole_0(U_465,U_463))
| ~ r1_xboole_0(U_467,U_465) ),
inference(clausify,[status(thm)],[f_139_4]) ).
cnf(f_139_6,plain,
( ~ r1_xboole_0(U_468,k2_xboole_0(U_466,U_464))
| sP64(U_466,U_468,U_464) ),
inference(clausify,[status(thm)],[f_139_4]) ).
cnf(f_139_7,plain,
( r1_xboole_0(U_468,U_466)
| ~ sP64(U_466,U_468,U_464) ),
inference(clausify,[status(thm)],[f_139_4]) ).
cnf(f_139_8,plain,
( r1_xboole_0(U_468,U_464)
| ~ sP64(U_466,U_468,U_464) ),
inference(clausify,[status(thm)],[f_139_4]) ).
fof(f_140_1,plain,
! [A,B,C] :
( A = C
| ~ r1_xboole_0(C,B)
| ~ r1_xboole_0(A,B)
| k2_xboole_0(A,B) != k2_xboole_0(C,B) ),
inference(fof_nnf,[status(thm)],[t71_xboole_1]) ).
fof(f_140_2,plain,
! [U_471,U_470,U_469] :
( U_471 = U_469
| ~ r1_xboole_0(U_469,U_470)
| ~ r1_xboole_0(U_471,U_470)
| k2_xboole_0(U_471,U_470) != k2_xboole_0(U_469,U_470) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
! [U_470,U_471,U_469] :
( U_471 = U_469
| ~ r1_xboole_0(U_469,U_470)
| ~ r1_xboole_0(U_471,U_470)
| k2_xboole_0(U_471,U_470) != k2_xboole_0(U_469,U_470) ),
inference(definitional_conversion,[status(esa)],[f_140_2]) ).
cnf(f_140_4,plain,
( U_471 = U_469
| ~ r1_xboole_0(U_469,U_470)
| ~ r1_xboole_0(U_471,U_470)
| k2_xboole_0(U_471,U_470) != k2_xboole_0(U_469,U_470) ),
inference(clausify,[status(thm)],[f_140_3]) ).
fof(f_141_1,plain,
! [A,B,C,D] :
( C = B
| ~ r1_xboole_0(D,B)
| ~ r1_xboole_0(C,A)
| k2_xboole_0(A,B) != k2_xboole_0(C,D) ),
inference(fof_nnf,[status(thm)],[t72_xboole_1]) ).
fof(f_141_2,plain,
! [U_475,U_474,U_473,U_472] :
( U_473 = U_474
| ~ r1_xboole_0(U_472,U_474)
| ~ r1_xboole_0(U_473,U_475)
| k2_xboole_0(U_475,U_474) != k2_xboole_0(U_473,U_472) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
! [U_475,U_474,U_473] :
( ! [U_472] :
( ~ r1_xboole_0(U_472,U_474)
| k2_xboole_0(U_475,U_474) != k2_xboole_0(U_473,U_472) )
| ~ r1_xboole_0(U_473,U_475)
| U_473 = U_474 ),
inference(miniscope,[status(thm)],[f_141_2]) ).
fof(f_141_4,plain,
! [U_473,U_474,U_475,U_472] :
( ~ r1_xboole_0(U_472,U_474)
| k2_xboole_0(U_475,U_474) != k2_xboole_0(U_473,U_472)
| ~ r1_xboole_0(U_473,U_475)
| U_473 = U_474 ),
inference(definitional_conversion,[status(esa)],[f_141_3]) ).
cnf(f_141_5,plain,
( ~ r1_xboole_0(U_472,U_474)
| k2_xboole_0(U_475,U_474) != k2_xboole_0(U_473,U_472)
| ~ r1_xboole_0(U_473,U_475)
| U_473 = U_474 ),
inference(clausify,[status(thm)],[f_141_4]) ).
fof(f_142_1,plain,
! [A,B,C] :
( r1_tarski(A,B)
| ~ r1_xboole_0(A,C)
| ~ r1_tarski(A,k2_xboole_0(B,C)) ),
inference(fof_nnf,[status(thm)],[t73_xboole_1]) ).
fof(f_142_2,plain,
! [U_478,U_477,U_476] :
( r1_tarski(U_478,U_477)
| ~ r1_xboole_0(U_478,U_476)
| ~ r1_tarski(U_478,k2_xboole_0(U_477,U_476)) ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
fof(f_142_3,plain,
! [U_478,U_477] :
( ! [U_476] :
( ~ r1_xboole_0(U_478,U_476)
| ~ r1_tarski(U_478,k2_xboole_0(U_477,U_476)) )
| r1_tarski(U_478,U_477) ),
inference(miniscope,[status(thm)],[f_142_2]) ).
fof(f_142_4,plain,
! [U_477,U_478,U_476] :
( ~ r1_xboole_0(U_478,U_476)
| ~ r1_tarski(U_478,k2_xboole_0(U_477,U_476))
| r1_tarski(U_478,U_477) ),
inference(definitional_conversion,[status(esa)],[f_142_3]) ).
cnf(f_142_5,plain,
( ~ r1_xboole_0(U_478,U_476)
| ~ r1_tarski(U_478,k2_xboole_0(U_477,U_476))
| r1_tarski(U_478,U_477) ),
inference(clausify,[status(thm)],[f_142_4]) ).
fof(f_143_1,plain,
! [A,B,C] :
( ~ r1_xboole_0(A,B)
| r1_xboole_0(A,k3_xboole_0(B,C)) ),
inference(fof_nnf,[status(thm)],[t74_xboole_1]) ).
fof(f_143_2,plain,
! [U_481,U_480,U_479] :
( ~ r1_xboole_0(U_481,U_480)
| r1_xboole_0(U_481,k3_xboole_0(U_480,U_479)) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
! [U_481,U_480] :
( ! [U_479] : r1_xboole_0(U_481,k3_xboole_0(U_480,U_479))
| ~ r1_xboole_0(U_481,U_480) ),
inference(miniscope,[status(thm)],[f_143_2]) ).
fof(f_143_4,plain,
! [U_479,U_481,U_480] :
( r1_xboole_0(U_481,k3_xboole_0(U_480,U_479))
| ~ r1_xboole_0(U_481,U_480) ),
inference(definitional_conversion,[status(esa)],[f_143_3]) ).
cnf(f_143_5,plain,
( r1_xboole_0(U_481,k3_xboole_0(U_480,U_479))
| ~ r1_xboole_0(U_481,U_480) ),
inference(clausify,[status(thm)],[f_143_4]) ).
fof(f_144_1,plain,
! [A,B] :
( ~ r1_xboole_0(k3_xboole_0(A,B),B)
| r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t75_xboole_1]) ).
fof(f_144_2,plain,
! [U_483,U_482] :
( ~ r1_xboole_0(k3_xboole_0(U_483,U_482),U_482)
| r1_xboole_0(U_483,U_482) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
! [U_482,U_483] :
( ~ r1_xboole_0(k3_xboole_0(U_483,U_482),U_482)
| r1_xboole_0(U_483,U_482) ),
inference(definitional_conversion,[status(esa)],[f_144_2]) ).
cnf(f_144_4,plain,
( ~ r1_xboole_0(k3_xboole_0(U_483,U_482),U_482)
| r1_xboole_0(U_483,U_482) ),
inference(clausify,[status(thm)],[f_144_3]) ).
fof(f_145_1,plain,
! [A,B,C] :
( r1_xboole_0(k3_xboole_0(C,A),k3_xboole_0(C,B))
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t76_xboole_1]) ).
fof(f_145_2,plain,
! [U_486,U_485,U_484] :
( r1_xboole_0(k3_xboole_0(U_484,U_486),k3_xboole_0(U_484,U_485))
| ~ r1_xboole_0(U_486,U_485) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
! [U_486,U_485] :
( ! [U_484] : r1_xboole_0(k3_xboole_0(U_484,U_486),k3_xboole_0(U_484,U_485))
| ~ r1_xboole_0(U_486,U_485) ),
inference(miniscope,[status(thm)],[f_145_2]) ).
fof(f_145_4,plain,
! [U_486,U_484,U_485] :
( r1_xboole_0(k3_xboole_0(U_484,U_486),k3_xboole_0(U_484,U_485))
| ~ r1_xboole_0(U_486,U_485) ),
inference(definitional_conversion,[status(esa)],[f_145_3]) ).
cnf(f_145_5,plain,
( r1_xboole_0(k3_xboole_0(U_484,U_486),k3_xboole_0(U_484,U_485))
| ~ r1_xboole_0(U_486,U_485) ),
inference(clausify,[status(thm)],[f_145_4]) ).
fof(f_146_1,plain,
! [A,B,C] :
( ~ r1_xboole_0(A,k3_xboole_0(B,C))
| ~ r1_tarski(A,C)
| r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t77_xboole_1]) ).
fof(f_146_2,plain,
! [U_489,U_488,U_487] :
( ~ r1_xboole_0(U_489,k3_xboole_0(U_488,U_487))
| ~ r1_tarski(U_489,U_487)
| r1_xboole_0(U_489,U_488) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
! [U_489,U_488] :
( ! [U_487] :
( ~ r1_xboole_0(U_489,k3_xboole_0(U_488,U_487))
| ~ r1_tarski(U_489,U_487) )
| r1_xboole_0(U_489,U_488) ),
inference(miniscope,[status(thm)],[f_146_2]) ).
fof(f_146_4,plain,
! [U_489,U_487,U_488] :
( ~ r1_xboole_0(U_489,k3_xboole_0(U_488,U_487))
| ~ r1_tarski(U_489,U_487)
| r1_xboole_0(U_489,U_488) ),
inference(definitional_conversion,[status(esa)],[f_146_3]) ).
cnf(f_146_5,plain,
( ~ r1_xboole_0(U_489,k3_xboole_0(U_488,U_487))
| ~ r1_tarski(U_489,U_487)
| r1_xboole_0(U_489,U_488) ),
inference(clausify,[status(thm)],[f_146_4]) ).
fof(f_147_1,plain,
! [A,B,C] :
( k3_xboole_0(A,k2_xboole_0(B,C)) = k3_xboole_0(A,C)
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t78_xboole_1]) ).
fof(f_147_2,plain,
! [U_492,U_491,U_490] :
( k3_xboole_0(U_492,k2_xboole_0(U_491,U_490)) = k3_xboole_0(U_492,U_490)
| ~ r1_xboole_0(U_492,U_491) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
fof(f_147_3,plain,
! [U_492,U_491] :
( ! [U_490] : k3_xboole_0(U_492,k2_xboole_0(U_491,U_490)) = k3_xboole_0(U_492,U_490)
| ~ r1_xboole_0(U_492,U_491) ),
inference(miniscope,[status(thm)],[f_147_2]) ).
fof(f_147_4,plain,
! [U_491,U_490,U_492] :
( k3_xboole_0(U_492,k2_xboole_0(U_491,U_490)) = k3_xboole_0(U_492,U_490)
| ~ r1_xboole_0(U_492,U_491) ),
inference(definitional_conversion,[status(esa)],[f_147_3]) ).
cnf(f_147_5,plain,
( k3_xboole_0(U_492,k2_xboole_0(U_491,U_490)) = k3_xboole_0(U_492,U_490)
| ~ r1_xboole_0(U_492,U_491) ),
inference(clausify,[status(thm)],[f_147_4]) ).
fof(f_148_1,plain,
! [A,B] : r1_xboole_0(k4_xboole_0(A,B),B),
inference(fof_nnf,[status(thm)],[t79_xboole_1]) ).
fof(f_148_2,plain,
! [U_494,U_493] : r1_xboole_0(k4_xboole_0(U_494,U_493),U_493),
inference(variable_rename,[status(thm)],[f_148_1]) ).
fof(f_148_3,plain,
! [U_494,U_493] : r1_xboole_0(k4_xboole_0(U_494,U_493),U_493),
inference(definitional_conversion,[status(esa)],[f_148_2]) ).
cnf(f_148_4,plain,
r1_xboole_0(k4_xboole_0(U_494,U_493),U_493),
inference(clausify,[status(thm)],[f_148_3]) ).
fof(f_149_1,plain,
! [A,B,C] :
( r1_xboole_0(A,k4_xboole_0(B,C))
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t80_xboole_1]) ).
fof(f_149_2,plain,
! [U_497,U_496,U_495] :
( r1_xboole_0(U_497,k4_xboole_0(U_496,U_495))
| ~ r1_xboole_0(U_497,U_496) ),
inference(variable_rename,[status(thm)],[f_149_1]) ).
fof(f_149_3,plain,
! [U_497,U_496] :
( ! [U_495] : r1_xboole_0(U_497,k4_xboole_0(U_496,U_495))
| ~ r1_xboole_0(U_497,U_496) ),
inference(miniscope,[status(thm)],[f_149_2]) ).
fof(f_149_4,plain,
! [U_496,U_497,U_495] :
( r1_xboole_0(U_497,k4_xboole_0(U_496,U_495))
| ~ r1_xboole_0(U_497,U_496) ),
inference(definitional_conversion,[status(esa)],[f_149_3]) ).
cnf(f_149_5,plain,
( r1_xboole_0(U_497,k4_xboole_0(U_496,U_495))
| ~ r1_xboole_0(U_497,U_496) ),
inference(clausify,[status(thm)],[f_149_4]) ).
fof(f_150_1,plain,
! [A,B,C] :
( r1_xboole_0(B,k4_xboole_0(A,C))
| ~ r1_xboole_0(A,k4_xboole_0(B,C)) ),
inference(fof_nnf,[status(thm)],[t81_xboole_1]) ).
fof(f_150_2,plain,
! [U_500,U_499,U_498] :
( r1_xboole_0(U_499,k4_xboole_0(U_500,U_498))
| ~ r1_xboole_0(U_500,k4_xboole_0(U_499,U_498)) ),
inference(variable_rename,[status(thm)],[f_150_1]) ).
fof(f_150_3,plain,
! [U_499,U_500,U_498] :
( r1_xboole_0(U_499,k4_xboole_0(U_500,U_498))
| ~ r1_xboole_0(U_500,k4_xboole_0(U_499,U_498)) ),
inference(definitional_conversion,[status(esa)],[f_150_2]) ).
cnf(f_150_4,plain,
( r1_xboole_0(U_499,k4_xboole_0(U_500,U_498))
| ~ r1_xboole_0(U_500,k4_xboole_0(U_499,U_498)) ),
inference(clausify,[status(thm)],[f_150_3]) ).
fof(f_151_1,plain,
! [A,B] : r1_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)),
inference(fof_nnf,[status(thm)],[t82_xboole_1]) ).
fof(f_151_2,plain,
! [U_502,U_501] : r1_xboole_0(k4_xboole_0(U_502,U_501),k4_xboole_0(U_501,U_502)),
inference(variable_rename,[status(thm)],[f_151_1]) ).
fof(f_151_3,plain,
! [U_501,U_502] : r1_xboole_0(k4_xboole_0(U_502,U_501),k4_xboole_0(U_501,U_502)),
inference(definitional_conversion,[status(esa)],[f_151_2]) ).
cnf(f_151_4,plain,
r1_xboole_0(k4_xboole_0(U_502,U_501),k4_xboole_0(U_501,U_502)),
inference(clausify,[status(thm)],[f_151_3]) ).
fof(f_152_1,plain,
! [A,B] :
( ( r1_xboole_0(A,B)
| k4_xboole_0(A,B) != A )
& ( k4_xboole_0(A,B) = A
| ~ r1_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[t83_xboole_1]) ).
fof(f_152_2,plain,
! [U_504,U_503] :
( ( r1_xboole_0(U_504,U_503)
| k4_xboole_0(U_504,U_503) != U_504 )
& ( k4_xboole_0(U_504,U_503) = U_504
| ~ r1_xboole_0(U_504,U_503) ) ),
inference(variable_rename,[status(thm)],[f_152_1]) ).
fof(f_152_3,plain,
( ! [U_508,U_506] :
( r1_xboole_0(U_508,U_506)
| k4_xboole_0(U_508,U_506) != U_508 )
& ! [U_507,U_505] :
( k4_xboole_0(U_507,U_505) = U_507
| ~ r1_xboole_0(U_507,U_505) ) ),
inference(miniscope,[status(thm)],[f_152_2]) ).
fof(f_152_4,plain,
( ! [U_508,U_506] :
( r1_xboole_0(U_508,U_506)
| k4_xboole_0(U_508,U_506) != U_508 )
& ! [U_507,U_505] :
( k4_xboole_0(U_507,U_505) = U_507
| ~ r1_xboole_0(U_507,U_505) ) ),
inference(definitional_conversion,[status(esa)],[f_152_3]) ).
cnf(f_152_5,plain,
( k4_xboole_0(U_507,U_505) = U_507
| ~ r1_xboole_0(U_507,U_505) ),
inference(clausify,[status(thm)],[f_152_4]) ).
cnf(f_152_6,plain,
( r1_xboole_0(U_508,U_506)
| k4_xboole_0(U_508,U_506) != U_508 ),
inference(clausify,[status(thm)],[f_152_4]) ).
fof(f_153_1,plain,
! [A,B,C] :
( ~ r1_xboole_0(A,k4_xboole_0(B,C))
| ~ r1_xboole_0(A,C)
| r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t84_xboole_1]) ).
fof(f_153_2,plain,
! [U_511,U_510,U_509] :
( ~ r1_xboole_0(U_511,k4_xboole_0(U_510,U_509))
| ~ r1_xboole_0(U_511,U_509)
| r1_xboole_0(U_511,U_510) ),
inference(variable_rename,[status(thm)],[f_153_1]) ).
fof(f_153_3,plain,
! [U_511,U_510] :
( ! [U_509] :
( ~ r1_xboole_0(U_511,k4_xboole_0(U_510,U_509))
| ~ r1_xboole_0(U_511,U_509) )
| r1_xboole_0(U_511,U_510) ),
inference(miniscope,[status(thm)],[f_153_2]) ).
fof(f_153_4,plain,
! [U_509,U_511,U_510] :
( ~ r1_xboole_0(U_511,k4_xboole_0(U_510,U_509))
| ~ r1_xboole_0(U_511,U_509)
| r1_xboole_0(U_511,U_510) ),
inference(definitional_conversion,[status(esa)],[f_153_3]) ).
cnf(f_153_5,plain,
( ~ r1_xboole_0(U_511,k4_xboole_0(U_510,U_509))
| ~ r1_xboole_0(U_511,U_509)
| r1_xboole_0(U_511,U_510) ),
inference(clausify,[status(thm)],[f_153_4]) ).
fof(f_154_1,plain,
! [A,B,C] :
( r1_xboole_0(A,k4_xboole_0(C,B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t85_xboole_1]) ).
fof(f_154_2,plain,
! [U_514,U_513,U_512] :
( r1_xboole_0(U_514,k4_xboole_0(U_512,U_513))
| ~ r1_tarski(U_514,U_513) ),
inference(variable_rename,[status(thm)],[f_154_1]) ).
fof(f_154_3,plain,
! [U_514,U_513] :
( ! [U_512] : r1_xboole_0(U_514,k4_xboole_0(U_512,U_513))
| ~ r1_tarski(U_514,U_513) ),
inference(miniscope,[status(thm)],[f_154_2]) ).
fof(f_154_4,plain,
! [U_513,U_514,U_512] :
( r1_xboole_0(U_514,k4_xboole_0(U_512,U_513))
| ~ r1_tarski(U_514,U_513) ),
inference(definitional_conversion,[status(esa)],[f_154_3]) ).
cnf(f_154_5,plain,
( r1_xboole_0(U_514,k4_xboole_0(U_512,U_513))
| ~ r1_tarski(U_514,U_513) ),
inference(clausify,[status(thm)],[f_154_4]) ).
fof(f_155_1,plain,
! [A,B,C] :
( r1_tarski(A,k4_xboole_0(B,C))
| ~ r1_xboole_0(A,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t86_xboole_1]) ).
fof(f_155_2,plain,
! [U_517,U_516,U_515] :
( r1_tarski(U_517,k4_xboole_0(U_516,U_515))
| ~ r1_xboole_0(U_517,U_515)
| ~ r1_tarski(U_517,U_516) ),
inference(variable_rename,[status(thm)],[f_155_1]) ).
fof(f_155_3,plain,
! [U_517,U_515,U_516] :
( r1_tarski(U_517,k4_xboole_0(U_516,U_515))
| ~ r1_xboole_0(U_517,U_515)
| ~ r1_tarski(U_517,U_516) ),
inference(definitional_conversion,[status(esa)],[f_155_2]) ).
cnf(f_155_4,plain,
( r1_tarski(U_517,k4_xboole_0(U_516,U_515))
| ~ r1_xboole_0(U_517,U_515)
| ~ r1_tarski(U_517,U_516) ),
inference(clausify,[status(thm)],[f_155_3]) ).
fof(f_156_1,plain,
! [A,B,C] :
( k2_xboole_0(k4_xboole_0(C,A),B) = k4_xboole_0(k2_xboole_0(C,B),A)
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t87_xboole_1]) ).
fof(f_156_2,plain,
! [U_520,U_519,U_518] :
( k2_xboole_0(k4_xboole_0(U_518,U_520),U_519) = k4_xboole_0(k2_xboole_0(U_518,U_519),U_520)
| ~ r1_xboole_0(U_520,U_519) ),
inference(variable_rename,[status(thm)],[f_156_1]) ).
fof(f_156_3,plain,
! [U_520,U_519] :
( ! [U_518] : k2_xboole_0(k4_xboole_0(U_518,U_520),U_519) = k4_xboole_0(k2_xboole_0(U_518,U_519),U_520)
| ~ r1_xboole_0(U_520,U_519) ),
inference(miniscope,[status(thm)],[f_156_2]) ).
fof(f_156_4,plain,
! [U_518,U_520,U_519] :
( k2_xboole_0(k4_xboole_0(U_518,U_520),U_519) = k4_xboole_0(k2_xboole_0(U_518,U_519),U_520)
| ~ r1_xboole_0(U_520,U_519) ),
inference(definitional_conversion,[status(esa)],[f_156_3]) ).
cnf(f_156_5,plain,
( k2_xboole_0(k4_xboole_0(U_518,U_520),U_519) = k4_xboole_0(k2_xboole_0(U_518,U_519),U_520)
| ~ r1_xboole_0(U_520,U_519) ),
inference(clausify,[status(thm)],[f_156_4]) ).
fof(f_157_1,plain,
! [A,B] :
( k4_xboole_0(k2_xboole_0(A,B),B) = A
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t88_xboole_1]) ).
fof(f_157_2,plain,
! [U_522,U_521] :
( k4_xboole_0(k2_xboole_0(U_522,U_521),U_521) = U_522
| ~ r1_xboole_0(U_522,U_521) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
fof(f_157_3,plain,
! [U_521,U_522] :
( k4_xboole_0(k2_xboole_0(U_522,U_521),U_521) = U_522
| ~ r1_xboole_0(U_522,U_521) ),
inference(definitional_conversion,[status(esa)],[f_157_2]) ).
cnf(f_157_4,plain,
( k4_xboole_0(k2_xboole_0(U_522,U_521),U_521) = U_522
| ~ r1_xboole_0(U_522,U_521) ),
inference(clausify,[status(thm)],[f_157_3]) ).
fof(f_158_1,plain,
! [A,B] : r1_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t89_xboole_1]) ).
fof(f_158_2,plain,
! [U_524,U_523] : r1_xboole_0(k3_xboole_0(U_524,U_523),k4_xboole_0(U_524,U_523)),
inference(variable_rename,[status(thm)],[f_158_1]) ).
fof(f_158_3,plain,
! [U_524,U_523] : r1_xboole_0(k3_xboole_0(U_524,U_523),k4_xboole_0(U_524,U_523)),
inference(definitional_conversion,[status(esa)],[f_158_2]) ).
cnf(f_158_4,plain,
r1_xboole_0(k3_xboole_0(U_524,U_523),k4_xboole_0(U_524,U_523)),
inference(clausify,[status(thm)],[f_158_3]) ).
fof(f_159_1,plain,
! [A,B] : r1_xboole_0(k4_xboole_0(A,k3_xboole_0(A,B)),B),
inference(fof_nnf,[status(thm)],[t90_xboole_1]) ).
fof(f_159_2,plain,
! [U_526,U_525] : r1_xboole_0(k4_xboole_0(U_526,k3_xboole_0(U_526,U_525)),U_525),
inference(variable_rename,[status(thm)],[f_159_1]) ).
fof(f_159_3,plain,
! [U_525,U_526] : r1_xboole_0(k4_xboole_0(U_526,k3_xboole_0(U_526,U_525)),U_525),
inference(definitional_conversion,[status(esa)],[f_159_2]) ).
cnf(f_159_4,plain,
r1_xboole_0(k4_xboole_0(U_526,k3_xboole_0(U_526,U_525)),U_525),
inference(clausify,[status(thm)],[f_159_3]) ).
fof(f_160_1,plain,
! [A,B,C] : k5_xboole_0(k5_xboole_0(A,B),C) = k5_xboole_0(A,k5_xboole_0(B,C)),
inference(fof_nnf,[status(thm)],[t91_xboole_1]) ).
fof(f_160_2,plain,
! [U_529,U_528,U_527] : k5_xboole_0(k5_xboole_0(U_529,U_528),U_527) = k5_xboole_0(U_529,k5_xboole_0(U_528,U_527)),
inference(variable_rename,[status(thm)],[f_160_1]) ).
fof(f_160_3,plain,
! [U_529,U_528,U_527] : k5_xboole_0(k5_xboole_0(U_529,U_528),U_527) = k5_xboole_0(U_529,k5_xboole_0(U_528,U_527)),
inference(definitional_conversion,[status(esa)],[f_160_2]) ).
cnf(f_160_4,plain,
k5_xboole_0(k5_xboole_0(U_529,U_528),U_527) = k5_xboole_0(U_529,k5_xboole_0(U_528,U_527)),
inference(clausify,[status(thm)],[f_160_3]) ).
fof(f_161_1,plain,
! [A] : k5_xboole_0(A,A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t92_xboole_1]) ).
fof(f_161_2,plain,
! [U_530] : k5_xboole_0(U_530,U_530) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_161_1]) ).
fof(f_161_3,plain,
! [U_530] : k5_xboole_0(U_530,U_530) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_161_2]) ).
cnf(f_161_4,plain,
k5_xboole_0(U_530,U_530) = k1_xboole_0,
inference(clausify,[status(thm)],[f_161_3]) ).
fof(f_162_1,plain,
! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t93_xboole_1]) ).
fof(f_162_2,plain,
! [U_532,U_531] : k2_xboole_0(U_532,U_531) = k2_xboole_0(k5_xboole_0(U_532,U_531),k3_xboole_0(U_532,U_531)),
inference(variable_rename,[status(thm)],[f_162_1]) ).
fof(f_162_3,plain,
! [U_532,U_531] : k2_xboole_0(U_532,U_531) = k2_xboole_0(k5_xboole_0(U_532,U_531),k3_xboole_0(U_532,U_531)),
inference(definitional_conversion,[status(esa)],[f_162_2]) ).
cnf(f_162_4,plain,
k2_xboole_0(U_532,U_531) = k2_xboole_0(k5_xboole_0(U_532,U_531),k3_xboole_0(U_532,U_531)),
inference(clausify,[status(thm)],[f_162_3]) ).
fof(f_163_1,plain,
! [A,B] : k2_xboole_0(A,B) = k5_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t94_xboole_1]) ).
fof(f_163_2,plain,
! [U_534,U_533] : k2_xboole_0(U_534,U_533) = k5_xboole_0(k5_xboole_0(U_534,U_533),k3_xboole_0(U_534,U_533)),
inference(variable_rename,[status(thm)],[f_163_1]) ).
fof(f_163_3,plain,
! [U_533,U_534] : k2_xboole_0(U_534,U_533) = k5_xboole_0(k5_xboole_0(U_534,U_533),k3_xboole_0(U_534,U_533)),
inference(definitional_conversion,[status(esa)],[f_163_2]) ).
cnf(f_163_4,plain,
k2_xboole_0(U_534,U_533) = k5_xboole_0(k5_xboole_0(U_534,U_533),k3_xboole_0(U_534,U_533)),
inference(clausify,[status(thm)],[f_163_3]) ).
fof(f_164_1,plain,
! [A,B] : k3_xboole_0(A,B) = k5_xboole_0(k5_xboole_0(A,B),k2_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t95_xboole_1]) ).
fof(f_164_2,plain,
! [U_536,U_535] : k3_xboole_0(U_536,U_535) = k5_xboole_0(k5_xboole_0(U_536,U_535),k2_xboole_0(U_536,U_535)),
inference(variable_rename,[status(thm)],[f_164_1]) ).
fof(f_164_3,plain,
! [U_536,U_535] : k3_xboole_0(U_536,U_535) = k5_xboole_0(k5_xboole_0(U_536,U_535),k2_xboole_0(U_536,U_535)),
inference(definitional_conversion,[status(esa)],[f_164_2]) ).
cnf(f_164_4,plain,
k3_xboole_0(U_536,U_535) = k5_xboole_0(k5_xboole_0(U_536,U_535),k2_xboole_0(U_536,U_535)),
inference(clausify,[status(thm)],[f_164_3]) ).
fof(f_165_1,plain,
! [A,B] : r1_tarski(k4_xboole_0(A,B),k5_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t96_xboole_1]) ).
fof(f_165_2,plain,
! [U_538,U_537] : r1_tarski(k4_xboole_0(U_538,U_537),k5_xboole_0(U_538,U_537)),
inference(variable_rename,[status(thm)],[f_165_1]) ).
fof(f_165_3,plain,
! [U_537,U_538] : r1_tarski(k4_xboole_0(U_538,U_537),k5_xboole_0(U_538,U_537)),
inference(definitional_conversion,[status(esa)],[f_165_2]) ).
cnf(f_165_4,plain,
r1_tarski(k4_xboole_0(U_538,U_537),k5_xboole_0(U_538,U_537)),
inference(clausify,[status(thm)],[f_165_3]) ).
fof(f_166_1,plain,
! [A,B,C] :
( r1_tarski(k5_xboole_0(A,B),C)
| ~ r1_tarski(k4_xboole_0(B,A),C)
| ~ r1_tarski(k4_xboole_0(A,B),C) ),
inference(fof_nnf,[status(thm)],[t97_xboole_1]) ).
fof(f_166_2,plain,
! [U_541,U_540,U_539] :
( r1_tarski(k5_xboole_0(U_541,U_540),U_539)
| ~ r1_tarski(k4_xboole_0(U_540,U_541),U_539)
| ~ r1_tarski(k4_xboole_0(U_541,U_540),U_539) ),
inference(variable_rename,[status(thm)],[f_166_1]) ).
fof(f_166_3,plain,
! [U_540,U_539,U_541] :
( r1_tarski(k5_xboole_0(U_541,U_540),U_539)
| ~ r1_tarski(k4_xboole_0(U_540,U_541),U_539)
| ~ r1_tarski(k4_xboole_0(U_541,U_540),U_539) ),
inference(definitional_conversion,[status(esa)],[f_166_2]) ).
cnf(f_166_4,plain,
( r1_tarski(k5_xboole_0(U_541,U_540),U_539)
| ~ r1_tarski(k4_xboole_0(U_540,U_541),U_539)
| ~ r1_tarski(k4_xboole_0(U_541,U_540),U_539) ),
inference(clausify,[status(thm)],[f_166_3]) ).
fof(f_167_1,plain,
! [A,B] : k2_xboole_0(A,B) = k5_xboole_0(A,k4_xboole_0(B,A)),
inference(fof_nnf,[status(thm)],[t98_xboole_1]) ).
fof(f_167_2,plain,
! [U_543,U_542] : k2_xboole_0(U_543,U_542) = k5_xboole_0(U_543,k4_xboole_0(U_542,U_543)),
inference(variable_rename,[status(thm)],[f_167_1]) ).
fof(f_167_3,plain,
! [U_542,U_543] : k2_xboole_0(U_543,U_542) = k5_xboole_0(U_543,k4_xboole_0(U_542,U_543)),
inference(definitional_conversion,[status(esa)],[f_167_2]) ).
cnf(f_167_4,plain,
k2_xboole_0(U_543,U_542) = k5_xboole_0(U_543,k4_xboole_0(U_542,U_543)),
inference(clausify,[status(thm)],[f_167_3]) ).
fof(f_168_1,plain,
! [A,B,C] : k4_xboole_0(k5_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k4_xboole_0(B,k2_xboole_0(A,C))),
inference(fof_nnf,[status(thm)],[t99_xboole_1]) ).
fof(f_168_2,plain,
! [U_546,U_545,U_544] : k4_xboole_0(k5_xboole_0(U_546,U_545),U_544) = k2_xboole_0(k4_xboole_0(U_546,k2_xboole_0(U_545,U_544)),k4_xboole_0(U_545,k2_xboole_0(U_546,U_544))),
inference(variable_rename,[status(thm)],[f_168_1]) ).
fof(f_168_3,plain,
! [U_544,U_545,U_546] : k4_xboole_0(k5_xboole_0(U_546,U_545),U_544) = k2_xboole_0(k4_xboole_0(U_546,k2_xboole_0(U_545,U_544)),k4_xboole_0(U_545,k2_xboole_0(U_546,U_544))),
inference(definitional_conversion,[status(esa)],[f_168_2]) ).
cnf(f_168_4,plain,
k4_xboole_0(k5_xboole_0(U_546,U_545),U_544) = k2_xboole_0(k4_xboole_0(U_546,k2_xboole_0(U_545,U_544)),k4_xboole_0(U_545,k2_xboole_0(U_546,U_544))),
inference(clausify,[status(thm)],[f_168_3]) ).
fof(f_169_1,plain,
! [A,B] : k4_xboole_0(A,B) = k5_xboole_0(A,k3_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t100_xboole_1]) ).
fof(f_169_2,plain,
! [U_548,U_547] : k4_xboole_0(U_548,U_547) = k5_xboole_0(U_548,k3_xboole_0(U_548,U_547)),
inference(variable_rename,[status(thm)],[f_169_1]) ).
fof(f_169_3,plain,
! [U_547,U_548] : k4_xboole_0(U_548,U_547) = k5_xboole_0(U_548,k3_xboole_0(U_548,U_547)),
inference(definitional_conversion,[status(esa)],[f_169_2]) ).
cnf(f_169_4,plain,
k4_xboole_0(U_548,U_547) = k5_xboole_0(U_548,k3_xboole_0(U_548,U_547)),
inference(clausify,[status(thm)],[f_169_3]) ).
fof(f_170_1,plain,
! [A,B] : k5_xboole_0(A,B) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t101_xboole_1]) ).
fof(f_170_2,plain,
! [U_550,U_549] : k5_xboole_0(U_550,U_549) = k4_xboole_0(k2_xboole_0(U_550,U_549),k3_xboole_0(U_550,U_549)),
inference(variable_rename,[status(thm)],[f_170_1]) ).
fof(f_170_3,plain,
! [U_549,U_550] : k5_xboole_0(U_550,U_549) = k4_xboole_0(k2_xboole_0(U_550,U_549),k3_xboole_0(U_550,U_549)),
inference(definitional_conversion,[status(esa)],[f_170_2]) ).
cnf(f_170_4,plain,
k5_xboole_0(U_550,U_549) = k4_xboole_0(k2_xboole_0(U_550,U_549),k3_xboole_0(U_550,U_549)),
inference(clausify,[status(thm)],[f_170_3]) ).
fof(f_171_1,plain,
! [A,B,C] : k4_xboole_0(A,k5_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C)),
inference(fof_nnf,[status(thm)],[t102_xboole_1]) ).
fof(f_171_2,plain,
! [U_553,U_552,U_551] : k4_xboole_0(U_553,k5_xboole_0(U_552,U_551)) = k2_xboole_0(k4_xboole_0(U_553,k2_xboole_0(U_552,U_551)),k3_xboole_0(k3_xboole_0(U_553,U_552),U_551)),
inference(variable_rename,[status(thm)],[f_171_1]) ).
fof(f_171_3,plain,
! [U_552,U_551,U_553] : k4_xboole_0(U_553,k5_xboole_0(U_552,U_551)) = k2_xboole_0(k4_xboole_0(U_553,k2_xboole_0(U_552,U_551)),k3_xboole_0(k3_xboole_0(U_553,U_552),U_551)),
inference(definitional_conversion,[status(esa)],[f_171_2]) ).
cnf(f_171_4,plain,
k4_xboole_0(U_553,k5_xboole_0(U_552,U_551)) = k2_xboole_0(k4_xboole_0(U_553,k2_xboole_0(U_552,U_551)),k3_xboole_0(k3_xboole_0(U_553,U_552),U_551)),
inference(clausify,[status(thm)],[f_171_3]) ).
fof(f_172_1,plain,
! [A,B] : r1_xboole_0(k3_xboole_0(A,B),k5_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t103_xboole_1]) ).
fof(f_172_2,plain,
! [U_555,U_554] : r1_xboole_0(k3_xboole_0(U_555,U_554),k5_xboole_0(U_555,U_554)),
inference(variable_rename,[status(thm)],[f_172_1]) ).
fof(f_172_3,plain,
! [U_555,U_554] : r1_xboole_0(k3_xboole_0(U_555,U_554),k5_xboole_0(U_555,U_554)),
inference(definitional_conversion,[status(esa)],[f_172_2]) ).
cnf(f_172_4,plain,
r1_xboole_0(k3_xboole_0(U_555,U_554),k5_xboole_0(U_555,U_554)),
inference(clausify,[status(thm)],[f_172_3]) ).
fof(f_173_1,plain,
! [A,B] :
( ( r2_xboole_0(B,A)
| A = B
| r2_xboole_0(A,B)
| ~ r3_xboole_0(A,B) )
& ( r3_xboole_0(A,B)
| ( ~ r2_xboole_0(B,A)
& A != B
& ~ r2_xboole_0(A,B) ) ) ),
inference(fof_nnf,[status(thm)],[t104_xboole_1]) ).
fof(f_173_2,plain,
! [U_557,U_556] :
( ( r2_xboole_0(U_556,U_557)
| U_557 = U_556
| r2_xboole_0(U_557,U_556)
| ~ r3_xboole_0(U_557,U_556) )
& ( r3_xboole_0(U_557,U_556)
| ( ~ r2_xboole_0(U_556,U_557)
& U_557 != U_556
& ~ r2_xboole_0(U_557,U_556) ) ) ),
inference(variable_rename,[status(thm)],[f_173_1]) ).
fof(f_173_3,plain,
( ! [U_561,U_559] :
( r2_xboole_0(U_559,U_561)
| U_561 = U_559
| r2_xboole_0(U_561,U_559)
| ~ r3_xboole_0(U_561,U_559) )
& ! [U_560,U_558] :
( r3_xboole_0(U_560,U_558)
| ( ~ r2_xboole_0(U_558,U_560)
& U_560 != U_558
& ~ r2_xboole_0(U_560,U_558) ) ) ),
inference(miniscope,[status(thm)],[f_173_2]) ).
fof(f_173_4,plain,
( ! [U_558,U_560] :
( ~ r2_xboole_0(U_558,U_560)
| ~ sP65(U_558,U_560) )
& ! [U_558,U_560] :
( U_560 != U_558
| ~ sP65(U_558,U_560) )
& ! [U_558,U_560] :
( ~ r2_xboole_0(U_560,U_558)
| ~ sP65(U_558,U_560) )
& ! [U_561,U_559] :
( r2_xboole_0(U_559,U_561)
| U_561 = U_559
| r2_xboole_0(U_561,U_559)
| ~ r3_xboole_0(U_561,U_559) )
& ! [U_558,U_560] :
( r3_xboole_0(U_560,U_558)
| sP65(U_558,U_560) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP65])],[f_173_3]) ).
cnf(f_173_5,plain,
( r3_xboole_0(U_560,U_558)
| sP65(U_558,U_560) ),
inference(clausify,[status(thm)],[f_173_4]) ).
cnf(f_173_6,plain,
( r2_xboole_0(U_559,U_561)
| U_561 = U_559
| r2_xboole_0(U_561,U_559)
| ~ r3_xboole_0(U_561,U_559) ),
inference(clausify,[status(thm)],[f_173_4]) ).
cnf(f_173_7,plain,
( ~ r2_xboole_0(U_560,U_558)
| ~ sP65(U_558,U_560) ),
inference(clausify,[status(thm)],[f_173_4]) ).
cnf(f_173_8,plain,
( U_560 != U_558
| ~ sP65(U_558,U_560) ),
inference(clausify,[status(thm)],[f_173_4]) ).
cnf(f_173_9,plain,
( ~ r2_xboole_0(U_558,U_560)
| ~ sP65(U_558,U_560) ),
inference(clausify,[status(thm)],[f_173_4]) ).
fof(f_174_1,plain,
! [A,B] :
( k4_xboole_0(B,A) != k1_xboole_0
| ~ r2_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t105_xboole_1]) ).
fof(f_174_2,plain,
! [U_563,U_562] :
( k4_xboole_0(U_562,U_563) != k1_xboole_0
| ~ r2_xboole_0(U_563,U_562) ),
inference(variable_rename,[status(thm)],[f_174_1]) ).
fof(f_174_3,plain,
! [U_563,U_562] :
( k4_xboole_0(U_562,U_563) != k1_xboole_0
| ~ r2_xboole_0(U_563,U_562) ),
inference(definitional_conversion,[status(esa)],[f_174_2]) ).
cnf(f_174_4,plain,
( k4_xboole_0(U_562,U_563) != k1_xboole_0
| ~ r2_xboole_0(U_563,U_562) ),
inference(clausify,[status(thm)],[f_174_3]) ).
fof(f_175_1,plain,
! [A,B,C] :
( ( r1_xboole_0(A,C)
& r1_tarski(A,B) )
| ~ r1_tarski(A,k4_xboole_0(B,C)) ),
inference(fof_nnf,[status(thm)],[t106_xboole_1]) ).
fof(f_175_2,plain,
! [U_566,U_565,U_564] :
( ( r1_xboole_0(U_566,U_564)
& r1_tarski(U_566,U_565) )
| ~ r1_tarski(U_566,k4_xboole_0(U_565,U_564)) ),
inference(variable_rename,[status(thm)],[f_175_1]) ).
fof(f_175_3,plain,
( ! [U_566,U_564,U_565] :
( r1_xboole_0(U_566,U_564)
| ~ sP66(U_566,U_564,U_565) )
& ! [U_566,U_564,U_565] :
( r1_tarski(U_566,U_565)
| ~ sP66(U_566,U_564,U_565) )
& ! [U_566,U_564,U_565] :
( sP66(U_566,U_564,U_565)
| ~ r1_tarski(U_566,k4_xboole_0(U_565,U_564)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP66])],[f_175_2]) ).
cnf(f_175_4,plain,
( sP66(U_566,U_564,U_565)
| ~ r1_tarski(U_566,k4_xboole_0(U_565,U_564)) ),
inference(clausify,[status(thm)],[f_175_3]) ).
cnf(f_175_5,plain,
( r1_tarski(U_566,U_565)
| ~ sP66(U_566,U_564,U_565) ),
inference(clausify,[status(thm)],[f_175_3]) ).
cnf(f_175_6,plain,
( r1_xboole_0(U_566,U_564)
| ~ sP66(U_566,U_564,U_565) ),
inference(clausify,[status(thm)],[f_175_3]) ).
fof(f_176_1,plain,
! [A,B,C] :
( ( r1_tarski(A,k5_xboole_0(B,C))
| ~ r1_xboole_0(A,k3_xboole_0(B,C))
| ~ r1_tarski(A,k2_xboole_0(B,C)) )
& ( ( r1_xboole_0(A,k3_xboole_0(B,C))
& r1_tarski(A,k2_xboole_0(B,C)) )
| ~ r1_tarski(A,k5_xboole_0(B,C)) ) ),
inference(fof_nnf,[status(thm)],[t107_xboole_1]) ).
fof(f_176_2,plain,
! [U_569,U_568,U_567] :
( ( r1_tarski(U_569,k5_xboole_0(U_568,U_567))
| ~ r1_xboole_0(U_569,k3_xboole_0(U_568,U_567))
| ~ r1_tarski(U_569,k2_xboole_0(U_568,U_567)) )
& ( ( r1_xboole_0(U_569,k3_xboole_0(U_568,U_567))
& r1_tarski(U_569,k2_xboole_0(U_568,U_567)) )
| ~ r1_tarski(U_569,k5_xboole_0(U_568,U_567)) ) ),
inference(variable_rename,[status(thm)],[f_176_1]) ).
fof(f_176_3,plain,
( ! [U_575,U_573,U_571] :
( r1_tarski(U_575,k5_xboole_0(U_573,U_571))
| ~ r1_xboole_0(U_575,k3_xboole_0(U_573,U_571))
| ~ r1_tarski(U_575,k2_xboole_0(U_573,U_571)) )
& ! [U_574,U_572,U_570] :
( ( r1_xboole_0(U_574,k3_xboole_0(U_572,U_570))
& r1_tarski(U_574,k2_xboole_0(U_572,U_570)) )
| ~ r1_tarski(U_574,k5_xboole_0(U_572,U_570)) ) ),
inference(miniscope,[status(thm)],[f_176_2]) ).
fof(f_176_4,plain,
( ! [U_574,U_570,U_572] :
( r1_xboole_0(U_574,k3_xboole_0(U_572,U_570))
| ~ sP67(U_574,U_570,U_572) )
& ! [U_574,U_570,U_572] :
( r1_tarski(U_574,k2_xboole_0(U_572,U_570))
| ~ sP67(U_574,U_570,U_572) )
& ! [U_575,U_571,U_573] :
( r1_tarski(U_575,k5_xboole_0(U_573,U_571))
| ~ r1_xboole_0(U_575,k3_xboole_0(U_573,U_571))
| ~ r1_tarski(U_575,k2_xboole_0(U_573,U_571)) )
& ! [U_574,U_570,U_572] :
( sP67(U_574,U_570,U_572)
| ~ r1_tarski(U_574,k5_xboole_0(U_572,U_570)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP67])],[f_176_3]) ).
cnf(f_176_5,plain,
( sP67(U_574,U_570,U_572)
| ~ r1_tarski(U_574,k5_xboole_0(U_572,U_570)) ),
inference(clausify,[status(thm)],[f_176_4]) ).
cnf(f_176_6,plain,
( r1_tarski(U_575,k5_xboole_0(U_573,U_571))
| ~ r1_xboole_0(U_575,k3_xboole_0(U_573,U_571))
| ~ r1_tarski(U_575,k2_xboole_0(U_573,U_571)) ),
inference(clausify,[status(thm)],[f_176_4]) ).
cnf(f_176_7,plain,
( r1_tarski(U_574,k2_xboole_0(U_572,U_570))
| ~ sP67(U_574,U_570,U_572) ),
inference(clausify,[status(thm)],[f_176_4]) ).
cnf(f_176_8,plain,
( r1_xboole_0(U_574,k3_xboole_0(U_572,U_570))
| ~ sP67(U_574,U_570,U_572) ),
inference(clausify,[status(thm)],[f_176_4]) ).
fof(f_177_1,plain,
! [A,B,C] :
( r1_tarski(k3_xboole_0(A,C),B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t108_xboole_1]) ).
fof(f_177_2,plain,
! [U_578,U_577,U_576] :
( r1_tarski(k3_xboole_0(U_578,U_576),U_577)
| ~ r1_tarski(U_578,U_577) ),
inference(variable_rename,[status(thm)],[f_177_1]) ).
fof(f_177_3,plain,
! [U_578,U_577] :
( ! [U_576] : r1_tarski(k3_xboole_0(U_578,U_576),U_577)
| ~ r1_tarski(U_578,U_577) ),
inference(miniscope,[status(thm)],[f_177_2]) ).
fof(f_177_4,plain,
! [U_576,U_578,U_577] :
( r1_tarski(k3_xboole_0(U_578,U_576),U_577)
| ~ r1_tarski(U_578,U_577) ),
inference(definitional_conversion,[status(esa)],[f_177_3]) ).
cnf(f_177_5,plain,
( r1_tarski(k3_xboole_0(U_578,U_576),U_577)
| ~ r1_tarski(U_578,U_577) ),
inference(clausify,[status(thm)],[f_177_4]) ).
fof(f_178_1,plain,
! [A,B,C] :
( r1_tarski(k4_xboole_0(A,C),B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t109_xboole_1]) ).
fof(f_178_2,plain,
! [U_581,U_580,U_579] :
( r1_tarski(k4_xboole_0(U_581,U_579),U_580)
| ~ r1_tarski(U_581,U_580) ),
inference(variable_rename,[status(thm)],[f_178_1]) ).
fof(f_178_3,plain,
! [U_581,U_580] :
( ! [U_579] : r1_tarski(k4_xboole_0(U_581,U_579),U_580)
| ~ r1_tarski(U_581,U_580) ),
inference(miniscope,[status(thm)],[f_178_2]) ).
fof(f_178_4,plain,
! [U_581,U_579,U_580] :
( r1_tarski(k4_xboole_0(U_581,U_579),U_580)
| ~ r1_tarski(U_581,U_580) ),
inference(definitional_conversion,[status(esa)],[f_178_3]) ).
cnf(f_178_5,plain,
( r1_tarski(k4_xboole_0(U_581,U_579),U_580)
| ~ r1_tarski(U_581,U_580) ),
inference(clausify,[status(thm)],[f_178_4]) ).
fof(f_179_1,plain,
! [A,B,C] :
( r1_tarski(k5_xboole_0(A,C),B)
| ~ r1_tarski(C,B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t110_xboole_1]) ).
fof(f_179_2,plain,
! [U_584,U_583,U_582] :
( r1_tarski(k5_xboole_0(U_584,U_582),U_583)
| ~ r1_tarski(U_582,U_583)
| ~ r1_tarski(U_584,U_583) ),
inference(variable_rename,[status(thm)],[f_179_1]) ).
fof(f_179_3,plain,
! [U_582,U_583,U_584] :
( r1_tarski(k5_xboole_0(U_584,U_582),U_583)
| ~ r1_tarski(U_582,U_583)
| ~ r1_tarski(U_584,U_583) ),
inference(definitional_conversion,[status(esa)],[f_179_2]) ).
cnf(f_179_4,plain,
( r1_tarski(k5_xboole_0(U_584,U_582),U_583)
| ~ r1_tarski(U_582,U_583)
| ~ r1_tarski(U_584,U_583) ),
inference(clausify,[status(thm)],[f_179_3]) ).
fof(f_180_1,plain,
! [A,B,C] : k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k4_xboole_0(A,C),B),
inference(fof_nnf,[status(thm)],[t111_xboole_1]) ).
fof(f_180_2,plain,
! [U_587,U_586,U_585] : k4_xboole_0(k3_xboole_0(U_587,U_586),k3_xboole_0(U_585,U_586)) = k3_xboole_0(k4_xboole_0(U_587,U_585),U_586),
inference(variable_rename,[status(thm)],[f_180_1]) ).
fof(f_180_3,plain,
! [U_585,U_586,U_587] : k4_xboole_0(k3_xboole_0(U_587,U_586),k3_xboole_0(U_585,U_586)) = k3_xboole_0(k4_xboole_0(U_587,U_585),U_586),
inference(definitional_conversion,[status(esa)],[f_180_2]) ).
cnf(f_180_4,plain,
k4_xboole_0(k3_xboole_0(U_587,U_586),k3_xboole_0(U_585,U_586)) = k3_xboole_0(k4_xboole_0(U_587,U_585),U_586),
inference(clausify,[status(thm)],[f_180_3]) ).
fof(f_181_1,plain,
! [A,B,C] : k5_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k5_xboole_0(A,C),B),
inference(fof_nnf,[status(thm)],[t112_xboole_1]) ).
fof(f_181_2,plain,
! [U_590,U_589,U_588] : k5_xboole_0(k3_xboole_0(U_590,U_589),k3_xboole_0(U_588,U_589)) = k3_xboole_0(k5_xboole_0(U_590,U_588),U_589),
inference(variable_rename,[status(thm)],[f_181_1]) ).
fof(f_181_3,plain,
! [U_590,U_588,U_589] : k5_xboole_0(k3_xboole_0(U_590,U_589),k3_xboole_0(U_588,U_589)) = k3_xboole_0(k5_xboole_0(U_590,U_588),U_589),
inference(definitional_conversion,[status(esa)],[f_181_2]) ).
cnf(f_181_4,plain,
k5_xboole_0(k3_xboole_0(U_590,U_589),k3_xboole_0(U_588,U_589)) = k3_xboole_0(k5_xboole_0(U_590,U_588),U_589),
inference(clausify,[status(thm)],[f_181_3]) ).
fof(f_182_1,plain,
! [A,B,C,D] : k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) = k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D)),
inference(fof_nnf,[status(thm)],[t113_xboole_1]) ).
fof(f_182_2,plain,
! [U_594,U_593,U_592,U_591] : k2_xboole_0(k2_xboole_0(k2_xboole_0(U_594,U_593),U_592),U_591) = k2_xboole_0(U_594,k2_xboole_0(k2_xboole_0(U_593,U_592),U_591)),
inference(variable_rename,[status(thm)],[f_182_1]) ).
fof(f_182_3,plain,
! [U_592,U_593,U_594,U_591] : k2_xboole_0(k2_xboole_0(k2_xboole_0(U_594,U_593),U_592),U_591) = k2_xboole_0(U_594,k2_xboole_0(k2_xboole_0(U_593,U_592),U_591)),
inference(definitional_conversion,[status(esa)],[f_182_2]) ).
cnf(f_182_4,plain,
k2_xboole_0(k2_xboole_0(k2_xboole_0(U_594,U_593),U_592),U_591) = k2_xboole_0(U_594,k2_xboole_0(k2_xboole_0(U_593,U_592),U_591)),
inference(clausify,[status(thm)],[f_182_3]) ).
fof(f_183_1,plain,
! [A,B,C,D] :
( r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D)
| ~ r1_xboole_0(C,D)
| ~ r1_xboole_0(B,D)
| ~ r1_xboole_0(A,D) ),
inference(fof_nnf,[status(thm)],[t114_xboole_1]) ).
fof(f_183_2,plain,
! [U_598,U_597,U_596,U_595] :
( r1_xboole_0(k2_xboole_0(k2_xboole_0(U_598,U_597),U_596),U_595)
| ~ r1_xboole_0(U_596,U_595)
| ~ r1_xboole_0(U_597,U_595)
| ~ r1_xboole_0(U_598,U_595) ),
inference(variable_rename,[status(thm)],[f_183_1]) ).
fof(f_183_3,plain,
! [U_596,U_597,U_595,U_598] :
( r1_xboole_0(k2_xboole_0(k2_xboole_0(U_598,U_597),U_596),U_595)
| ~ r1_xboole_0(U_596,U_595)
| ~ r1_xboole_0(U_597,U_595)
| ~ r1_xboole_0(U_598,U_595) ),
inference(definitional_conversion,[status(esa)],[f_183_2]) ).
cnf(f_183_4,plain,
( r1_xboole_0(k2_xboole_0(k2_xboole_0(U_598,U_597),U_596),U_595)
| ~ r1_xboole_0(U_596,U_595)
| ~ r1_xboole_0(U_597,U_595)
| ~ r1_xboole_0(U_598,U_595) ),
inference(clausify,[status(thm)],[f_183_3]) ).
fof(f_184_1,plain,
! [A,B,C,D] :
( ( D = k1_enumset1(A,B,C)
| ? [E] :
( ( ~ r2_hidden(E,D)
& ( E = C
| E = B
| E = A ) )
| ( E != C
& E != B
& E != A
& r2_hidden(E,D) ) ) )
& ( ! [E] :
( ( r2_hidden(E,D)
| ( E != C
& E != B
& E != A ) )
& ( E = C
| E = B
| E = A
| ~ r2_hidden(E,D) ) )
| D != k1_enumset1(A,B,C) ) ),
inference(fof_nnf,[status(thm)],[d1_enumset1]) ).
fof(f_184_2,plain,
! [U_604,U_603,U_602,U_601] :
( ( U_601 = k1_enumset1(U_604,U_603,U_602)
| ? [U_600] :
( ( ~ r2_hidden(U_600,U_601)
& ( U_600 = U_602
| U_600 = U_603
| U_600 = U_604 ) )
| ( U_600 != U_602
& U_600 != U_603
& U_600 != U_604
& r2_hidden(U_600,U_601) ) ) )
& ( ! [U_599] :
( ( r2_hidden(U_599,U_601)
| ( U_599 != U_602
& U_599 != U_603
& U_599 != U_604 ) )
& ( U_599 = U_602
| U_599 = U_603
| U_599 = U_604
| ~ r2_hidden(U_599,U_601) ) )
| U_601 != k1_enumset1(U_604,U_603,U_602) ) ),
inference(variable_rename,[status(thm)],[f_184_1]) ).
fof(f_184_3,plain,
( ! [U_616,U_614,U_612,U_610] :
( U_610 = k1_enumset1(U_616,U_614,U_612)
| ? [U_608] :
( ~ r2_hidden(U_608,U_610)
& ( U_608 = U_612
| U_608 = U_614
| U_608 = U_616 ) )
| ? [U_607] :
( U_607 != U_612
& U_607 != U_614
& U_607 != U_616
& r2_hidden(U_607,U_610) ) )
& ! [U_615,U_613,U_611,U_609] :
( ( ! [U_606] :
( r2_hidden(U_606,U_609)
| ( U_606 != U_611
& U_606 != U_613
& U_606 != U_615 ) )
& ! [U_605] :
( U_605 = U_611
| U_605 = U_613
| U_605 = U_615
| ~ r2_hidden(U_605,U_609) ) )
| U_609 != k1_enumset1(U_615,U_613,U_611) ) ),
inference(miniscope,[status(thm)],[f_184_2]) ).
fof(f_184_4,plain,
( ! [U_616,U_614,U_612,U_610] :
( U_610 = k1_enumset1(U_616,U_614,U_612)
| ? [U_608] :
( ~ r2_hidden(U_608,U_610)
& ( U_608 = U_612
| U_608 = U_614
| U_608 = U_616 ) )
| ( sK53(U_616,U_614,U_612,U_610) != U_612
& sK53(U_616,U_614,U_612,U_610) != U_614
& sK53(U_616,U_614,U_612,U_610) != U_616
& r2_hidden(sK53(U_616,U_614,U_612,U_610),U_610) ) )
& ! [U_615,U_613,U_611,U_609] :
( ( ! [U_606] :
( r2_hidden(U_606,U_609)
| ( U_606 != U_611
& U_606 != U_613
& U_606 != U_615 ) )
& ! [U_605] :
( U_605 = U_611
| U_605 = U_613
| U_605 = U_615
| ~ r2_hidden(U_605,U_609) ) )
| U_609 != k1_enumset1(U_615,U_613,U_611) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_607,sK53(U_616,U_614,U_612,U_610))],[f_184_3]) ).
fof(f_184_5,plain,
( ! [U_616,U_614,U_612,U_610] :
( U_610 = k1_enumset1(U_616,U_614,U_612)
| ( ~ r2_hidden(sK54(U_616,U_614,U_612,U_610),U_610)
& ( sK54(U_616,U_614,U_612,U_610) = U_612
| sK54(U_616,U_614,U_612,U_610) = U_614
| sK54(U_616,U_614,U_612,U_610) = U_616 ) )
| ( sK53(U_616,U_614,U_612,U_610) != U_612
& sK53(U_616,U_614,U_612,U_610) != U_614
& sK53(U_616,U_614,U_612,U_610) != U_616
& r2_hidden(sK53(U_616,U_614,U_612,U_610),U_610) ) )
& ! [U_615,U_613,U_611,U_609] :
( ( ! [U_606] :
( r2_hidden(U_606,U_609)
| ( U_606 != U_611
& U_606 != U_613
& U_606 != U_615 ) )
& ! [U_605] :
( U_605 = U_611
| U_605 = U_613
| U_605 = U_615
| ~ r2_hidden(U_605,U_609) ) )
| U_609 != k1_enumset1(U_615,U_613,U_611) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_608,sK54(U_616,U_614,U_612,U_610))],[f_184_4]) ).
fof(f_184_6,plain,
( ! [U_616,U_612,U_614,U_610] :
( ~ r2_hidden(sK54(U_616,U_614,U_612,U_610),U_610)
| ~ sP71(U_616,U_612,U_614,U_610) )
& ! [U_616,U_612,U_614,U_610] :
( sK54(U_616,U_614,U_612,U_610) = U_612
| sK54(U_616,U_614,U_612,U_610) = U_614
| sK54(U_616,U_614,U_612,U_610) = U_616
| ~ sP71(U_616,U_612,U_614,U_610) )
& ! [U_616,U_612,U_614,U_610] :
( sK53(U_616,U_614,U_612,U_610) != U_612
| ~ sP70(U_616,U_612,U_614,U_610) )
& ! [U_616,U_612,U_614,U_610] :
( sK53(U_616,U_614,U_612,U_610) != U_614
| ~ sP70(U_616,U_612,U_614,U_610) )
& ! [U_616,U_612,U_614,U_610] :
( sK53(U_616,U_614,U_612,U_610) != U_616
| ~ sP70(U_616,U_612,U_614,U_610) )
& ! [U_616,U_612,U_614,U_610] :
( r2_hidden(sK53(U_616,U_614,U_612,U_610),U_610)
| ~ sP70(U_616,U_612,U_614,U_610) )
& ! [U_611,U_606,U_613,U_615] :
( U_606 != U_611
| ~ sP68(U_611,U_606,U_613,U_615) )
& ! [U_611,U_606,U_613,U_615] :
( U_606 != U_613
| ~ sP68(U_611,U_606,U_613,U_615) )
& ! [U_611,U_606,U_613,U_615] :
( U_606 != U_615
| ~ sP68(U_611,U_606,U_613,U_615) )
& ! [U_605,U_611,U_609,U_606,U_613,U_615] :
( r2_hidden(U_606,U_609)
| sP68(U_611,U_606,U_613,U_615)
| ~ sP69(U_605,U_611,U_609,U_606,U_613,U_615) )
& ! [U_605,U_611,U_609,U_606,U_613,U_615] :
( U_605 = U_611
| U_605 = U_613
| U_605 = U_615
| ~ r2_hidden(U_605,U_609)
| ~ sP69(U_605,U_611,U_609,U_606,U_613,U_615) )
& ! [U_616,U_612,U_614,U_610] :
( U_610 = k1_enumset1(U_616,U_614,U_612)
| sP71(U_616,U_612,U_614,U_610)
| sP70(U_616,U_612,U_614,U_610) )
& ! [U_605,U_611,U_609,U_606,U_613,U_615] :
( sP69(U_605,U_611,U_609,U_606,U_613,U_615)
| U_609 != k1_enumset1(U_615,U_613,U_611) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP68,sP69,sP70,sP71])],[f_184_5]) ).
cnf(f_184_7,plain,
( sP69(U_605,U_611,U_609,U_606,U_613,U_615)
| U_609 != k1_enumset1(U_615,U_613,U_611) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_8,plain,
( U_610 = k1_enumset1(U_616,U_614,U_612)
| sP71(U_616,U_612,U_614,U_610)
| sP70(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_9,plain,
( U_605 = U_611
| U_605 = U_613
| U_605 = U_615
| ~ r2_hidden(U_605,U_609)
| ~ sP69(U_605,U_611,U_609,U_606,U_613,U_615) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_10,plain,
( r2_hidden(U_606,U_609)
| sP68(U_611,U_606,U_613,U_615)
| ~ sP69(U_605,U_611,U_609,U_606,U_613,U_615) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_11,plain,
( U_606 != U_615
| ~ sP68(U_611,U_606,U_613,U_615) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_12,plain,
( U_606 != U_613
| ~ sP68(U_611,U_606,U_613,U_615) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_13,plain,
( U_606 != U_611
| ~ sP68(U_611,U_606,U_613,U_615) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_14,plain,
( r2_hidden(sK53(U_616,U_614,U_612,U_610),U_610)
| ~ sP70(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_15,plain,
( sK53(U_616,U_614,U_612,U_610) != U_616
| ~ sP70(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_16,plain,
( sK53(U_616,U_614,U_612,U_610) != U_614
| ~ sP70(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_17,plain,
( sK53(U_616,U_614,U_612,U_610) != U_612
| ~ sP70(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_18,plain,
( sK54(U_616,U_614,U_612,U_610) = U_612
| sK54(U_616,U_614,U_612,U_610) = U_614
| sK54(U_616,U_614,U_612,U_610) = U_616
| ~ sP71(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
cnf(f_184_19,plain,
( ~ r2_hidden(sK54(U_616,U_614,U_612,U_610),U_610)
| ~ sP71(U_616,U_612,U_614,U_610) ),
inference(clausify,[status(thm)],[f_184_6]) ).
fof(f_185_1,plain,
! [A,B,C,D,E] :
( ( E = k2_enumset1(A,B,C,D)
| ? [F] :
( ( ~ r2_hidden(F,E)
& ( F = D
| F = C
| F = B
| F = A ) )
| ( F != D
& F != C
& F != B
& F != A
& r2_hidden(F,E) ) ) )
& ( ! [F] :
( ( r2_hidden(F,E)
| ( F != D
& F != C
& F != B
& F != A ) )
& ( F = D
| F = C
| F = B
| F = A
| ~ r2_hidden(F,E) ) )
| E != k2_enumset1(A,B,C,D) ) ),
inference(fof_nnf,[status(thm)],[d2_enumset1]) ).
fof(f_185_2,plain,
! [U_623,U_622,U_621,U_620,U_619] :
( ( U_619 = k2_enumset1(U_623,U_622,U_621,U_620)
| ? [U_618] :
( ( ~ r2_hidden(U_618,U_619)
& ( U_618 = U_620
| U_618 = U_621
| U_618 = U_622
| U_618 = U_623 ) )
| ( U_618 != U_620
& U_618 != U_621
& U_618 != U_622
& U_618 != U_623
& r2_hidden(U_618,U_619) ) ) )
& ( ! [U_617] :
( ( r2_hidden(U_617,U_619)
| ( U_617 != U_620
& U_617 != U_621
& U_617 != U_622
& U_617 != U_623 ) )
& ( U_617 = U_620
| U_617 = U_621
| U_617 = U_622
| U_617 = U_623
| ~ r2_hidden(U_617,U_619) ) )
| U_619 != k2_enumset1(U_623,U_622,U_621,U_620) ) ),
inference(variable_rename,[status(thm)],[f_185_1]) ).
fof(f_185_3,plain,
( ! [U_637,U_635,U_633,U_631,U_629] :
( U_629 = k2_enumset1(U_637,U_635,U_633,U_631)
| ? [U_627] :
( ~ r2_hidden(U_627,U_629)
& ( U_627 = U_631
| U_627 = U_633
| U_627 = U_635
| U_627 = U_637 ) )
| ? [U_626] :
( U_626 != U_631
& U_626 != U_633
& U_626 != U_635
& U_626 != U_637
& r2_hidden(U_626,U_629) ) )
& ! [U_636,U_634,U_632,U_630,U_628] :
( ( ! [U_625] :
( r2_hidden(U_625,U_628)
| ( U_625 != U_630
& U_625 != U_632
& U_625 != U_634
& U_625 != U_636 ) )
& ! [U_624] :
( U_624 = U_630
| U_624 = U_632
| U_624 = U_634
| U_624 = U_636
| ~ r2_hidden(U_624,U_628) ) )
| U_628 != k2_enumset1(U_636,U_634,U_632,U_630) ) ),
inference(miniscope,[status(thm)],[f_185_2]) ).
fof(f_185_4,plain,
( ! [U_637,U_635,U_633,U_631,U_629] :
( U_629 = k2_enumset1(U_637,U_635,U_633,U_631)
| ? [U_627] :
( ~ r2_hidden(U_627,U_629)
& ( U_627 = U_631
| U_627 = U_633
| U_627 = U_635
| U_627 = U_637 ) )
| ( sK55(U_637,U_635,U_633,U_631,U_629) != U_631
& sK55(U_637,U_635,U_633,U_631,U_629) != U_633
& sK55(U_637,U_635,U_633,U_631,U_629) != U_635
& sK55(U_637,U_635,U_633,U_631,U_629) != U_637
& r2_hidden(sK55(U_637,U_635,U_633,U_631,U_629),U_629) ) )
& ! [U_636,U_634,U_632,U_630,U_628] :
( ( ! [U_625] :
( r2_hidden(U_625,U_628)
| ( U_625 != U_630
& U_625 != U_632
& U_625 != U_634
& U_625 != U_636 ) )
& ! [U_624] :
( U_624 = U_630
| U_624 = U_632
| U_624 = U_634
| U_624 = U_636
| ~ r2_hidden(U_624,U_628) ) )
| U_628 != k2_enumset1(U_636,U_634,U_632,U_630) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_626,sK55(U_637,U_635,U_633,U_631,U_629))],[f_185_3]) ).
fof(f_185_5,plain,
( ! [U_637,U_635,U_633,U_631,U_629] :
( U_629 = k2_enumset1(U_637,U_635,U_633,U_631)
| ( ~ r2_hidden(sK56(U_637,U_635,U_633,U_631,U_629),U_629)
& ( sK56(U_637,U_635,U_633,U_631,U_629) = U_631
| sK56(U_637,U_635,U_633,U_631,U_629) = U_633
| sK56(U_637,U_635,U_633,U_631,U_629) = U_635
| sK56(U_637,U_635,U_633,U_631,U_629) = U_637 ) )
| ( sK55(U_637,U_635,U_633,U_631,U_629) != U_631
& sK55(U_637,U_635,U_633,U_631,U_629) != U_633
& sK55(U_637,U_635,U_633,U_631,U_629) != U_635
& sK55(U_637,U_635,U_633,U_631,U_629) != U_637
& r2_hidden(sK55(U_637,U_635,U_633,U_631,U_629),U_629) ) )
& ! [U_636,U_634,U_632,U_630,U_628] :
( ( ! [U_625] :
( r2_hidden(U_625,U_628)
| ( U_625 != U_630
& U_625 != U_632
& U_625 != U_634
& U_625 != U_636 ) )
& ! [U_624] :
( U_624 = U_630
| U_624 = U_632
| U_624 = U_634
| U_624 = U_636
| ~ r2_hidden(U_624,U_628) ) )
| U_628 != k2_enumset1(U_636,U_634,U_632,U_630) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_627,sK56(U_637,U_635,U_633,U_631,U_629))],[f_185_4]) ).
fof(f_185_6,plain,
( ! [U_635,U_629,U_633,U_631,U_637] :
( ~ r2_hidden(sK56(U_637,U_635,U_633,U_631,U_629),U_629)
| ~ sP75(U_635,U_629,U_633,U_631,U_637) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( sK56(U_637,U_635,U_633,U_631,U_629) = U_631
| sK56(U_637,U_635,U_633,U_631,U_629) = U_633
| sK56(U_637,U_635,U_633,U_631,U_629) = U_635
| sK56(U_637,U_635,U_633,U_631,U_629) = U_637
| ~ sP75(U_635,U_629,U_633,U_631,U_637) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( sK55(U_637,U_635,U_633,U_631,U_629) != U_631
| ~ sP74(U_635,U_629,U_633,U_631,U_637) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( sK55(U_637,U_635,U_633,U_631,U_629) != U_633
| ~ sP74(U_635,U_629,U_633,U_631,U_637) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( sK55(U_637,U_635,U_633,U_631,U_629) != U_635
| ~ sP74(U_635,U_629,U_633,U_631,U_637) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( sK55(U_637,U_635,U_633,U_631,U_629) != U_637
| ~ sP74(U_635,U_629,U_633,U_631,U_637) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( r2_hidden(sK55(U_637,U_635,U_633,U_631,U_629),U_629)
| ~ sP74(U_635,U_629,U_633,U_631,U_637) )
& ! [U_634,U_630,U_625,U_636,U_632] :
( U_625 != U_630
| ~ sP72(U_634,U_630,U_625,U_636,U_632) )
& ! [U_634,U_630,U_625,U_636,U_632] :
( U_625 != U_632
| ~ sP72(U_634,U_630,U_625,U_636,U_632) )
& ! [U_634,U_630,U_625,U_636,U_632] :
( U_625 != U_634
| ~ sP72(U_634,U_630,U_625,U_636,U_632) )
& ! [U_634,U_630,U_625,U_636,U_632] :
( U_625 != U_636
| ~ sP72(U_634,U_630,U_625,U_636,U_632) )
& ! [U_634,U_630,U_625,U_628,U_636,U_624,U_632] :
( r2_hidden(U_625,U_628)
| sP72(U_634,U_630,U_625,U_636,U_632)
| ~ sP73(U_634,U_630,U_625,U_628,U_636,U_624,U_632) )
& ! [U_634,U_630,U_625,U_628,U_636,U_624,U_632] :
( U_624 = U_630
| U_624 = U_632
| U_624 = U_634
| U_624 = U_636
| ~ r2_hidden(U_624,U_628)
| ~ sP73(U_634,U_630,U_625,U_628,U_636,U_624,U_632) )
& ! [U_635,U_629,U_633,U_631,U_637] :
( U_629 = k2_enumset1(U_637,U_635,U_633,U_631)
| sP75(U_635,U_629,U_633,U_631,U_637)
| sP74(U_635,U_629,U_633,U_631,U_637) )
& ! [U_634,U_630,U_625,U_628,U_636,U_624,U_632] :
( sP73(U_634,U_630,U_625,U_628,U_636,U_624,U_632)
| U_628 != k2_enumset1(U_636,U_634,U_632,U_630) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP72,sP73,sP74,sP75])],[f_185_5]) ).
cnf(f_185_7,plain,
( sP73(U_634,U_630,U_625,U_628,U_636,U_624,U_632)
| U_628 != k2_enumset1(U_636,U_634,U_632,U_630) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_8,plain,
( U_629 = k2_enumset1(U_637,U_635,U_633,U_631)
| sP75(U_635,U_629,U_633,U_631,U_637)
| sP74(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_9,plain,
( U_624 = U_630
| U_624 = U_632
| U_624 = U_634
| U_624 = U_636
| ~ r2_hidden(U_624,U_628)
| ~ sP73(U_634,U_630,U_625,U_628,U_636,U_624,U_632) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_10,plain,
( r2_hidden(U_625,U_628)
| sP72(U_634,U_630,U_625,U_636,U_632)
| ~ sP73(U_634,U_630,U_625,U_628,U_636,U_624,U_632) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_11,plain,
( U_625 != U_636
| ~ sP72(U_634,U_630,U_625,U_636,U_632) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_12,plain,
( U_625 != U_634
| ~ sP72(U_634,U_630,U_625,U_636,U_632) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_13,plain,
( U_625 != U_632
| ~ sP72(U_634,U_630,U_625,U_636,U_632) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_14,plain,
( U_625 != U_630
| ~ sP72(U_634,U_630,U_625,U_636,U_632) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_15,plain,
( r2_hidden(sK55(U_637,U_635,U_633,U_631,U_629),U_629)
| ~ sP74(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_16,plain,
( sK55(U_637,U_635,U_633,U_631,U_629) != U_637
| ~ sP74(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_17,plain,
( sK55(U_637,U_635,U_633,U_631,U_629) != U_635
| ~ sP74(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_18,plain,
( sK55(U_637,U_635,U_633,U_631,U_629) != U_633
| ~ sP74(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_19,plain,
( sK55(U_637,U_635,U_633,U_631,U_629) != U_631
| ~ sP74(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_20,plain,
( sK56(U_637,U_635,U_633,U_631,U_629) = U_631
| sK56(U_637,U_635,U_633,U_631,U_629) = U_633
| sK56(U_637,U_635,U_633,U_631,U_629) = U_635
| sK56(U_637,U_635,U_633,U_631,U_629) = U_637
| ~ sP75(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
cnf(f_185_21,plain,
( ~ r2_hidden(sK56(U_637,U_635,U_633,U_631,U_629),U_629)
| ~ sP75(U_635,U_629,U_633,U_631,U_637) ),
inference(clausify,[status(thm)],[f_185_6]) ).
fof(f_186_1,plain,
! [A,B,C,D,E,F] :
( ( F = k3_enumset1(A,B,C,D,E)
| ? [G] :
( ( ~ r2_hidden(G,F)
& ( G = E
| G = D
| G = C
| G = B
| G = A ) )
| ( G != E
& G != D
& G != C
& G != B
& G != A
& r2_hidden(G,F) ) ) )
& ( ! [G] :
( ( r2_hidden(G,F)
| ( G != E
& G != D
& G != C
& G != B
& G != A ) )
& ( G = E
| G = D
| G = C
| G = B
| G = A
| ~ r2_hidden(G,F) ) )
| F != k3_enumset1(A,B,C,D,E) ) ),
inference(fof_nnf,[status(thm)],[d3_enumset1]) ).
fof(f_186_2,plain,
! [U_645,U_644,U_643,U_642,U_641,U_640] :
( ( U_640 = k3_enumset1(U_645,U_644,U_643,U_642,U_641)
| ? [U_639] :
( ( ~ r2_hidden(U_639,U_640)
& ( U_639 = U_641
| U_639 = U_642
| U_639 = U_643
| U_639 = U_644
| U_639 = U_645 ) )
| ( U_639 != U_641
& U_639 != U_642
& U_639 != U_643
& U_639 != U_644
& U_639 != U_645
& r2_hidden(U_639,U_640) ) ) )
& ( ! [U_638] :
( ( r2_hidden(U_638,U_640)
| ( U_638 != U_641
& U_638 != U_642
& U_638 != U_643
& U_638 != U_644
& U_638 != U_645 ) )
& ( U_638 = U_641
| U_638 = U_642
| U_638 = U_643
| U_638 = U_644
| U_638 = U_645
| ~ r2_hidden(U_638,U_640) ) )
| U_640 != k3_enumset1(U_645,U_644,U_643,U_642,U_641) ) ),
inference(variable_rename,[status(thm)],[f_186_1]) ).
fof(f_186_3,plain,
( ! [U_661,U_659,U_657,U_655,U_653,U_651] :
( U_651 = k3_enumset1(U_661,U_659,U_657,U_655,U_653)
| ? [U_649] :
( ~ r2_hidden(U_649,U_651)
& ( U_649 = U_653
| U_649 = U_655
| U_649 = U_657
| U_649 = U_659
| U_649 = U_661 ) )
| ? [U_648] :
( U_648 != U_653
& U_648 != U_655
& U_648 != U_657
& U_648 != U_659
& U_648 != U_661
& r2_hidden(U_648,U_651) ) )
& ! [U_660,U_658,U_656,U_654,U_652,U_650] :
( ( ! [U_647] :
( r2_hidden(U_647,U_650)
| ( U_647 != U_652
& U_647 != U_654
& U_647 != U_656
& U_647 != U_658
& U_647 != U_660 ) )
& ! [U_646] :
( U_646 = U_652
| U_646 = U_654
| U_646 = U_656
| U_646 = U_658
| U_646 = U_660
| ~ r2_hidden(U_646,U_650) ) )
| U_650 != k3_enumset1(U_660,U_658,U_656,U_654,U_652) ) ),
inference(miniscope,[status(thm)],[f_186_2]) ).
fof(f_186_4,plain,
( ! [U_661,U_659,U_657,U_655,U_653,U_651] :
( U_651 = k3_enumset1(U_661,U_659,U_657,U_655,U_653)
| ? [U_649] :
( ~ r2_hidden(U_649,U_651)
& ( U_649 = U_653
| U_649 = U_655
| U_649 = U_657
| U_649 = U_659
| U_649 = U_661 ) )
| ( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_653
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_655
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_657
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_659
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_661
& r2_hidden(sK57(U_661,U_659,U_657,U_655,U_653,U_651),U_651) ) )
& ! [U_660,U_658,U_656,U_654,U_652,U_650] :
( ( ! [U_647] :
( r2_hidden(U_647,U_650)
| ( U_647 != U_652
& U_647 != U_654
& U_647 != U_656
& U_647 != U_658
& U_647 != U_660 ) )
& ! [U_646] :
( U_646 = U_652
| U_646 = U_654
| U_646 = U_656
| U_646 = U_658
| U_646 = U_660
| ~ r2_hidden(U_646,U_650) ) )
| U_650 != k3_enumset1(U_660,U_658,U_656,U_654,U_652) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_648,sK57(U_661,U_659,U_657,U_655,U_653,U_651))],[f_186_3]) ).
fof(f_186_5,plain,
( ! [U_661,U_659,U_657,U_655,U_653,U_651] :
( U_651 = k3_enumset1(U_661,U_659,U_657,U_655,U_653)
| ( ~ r2_hidden(sK58(U_661,U_659,U_657,U_655,U_653,U_651),U_651)
& ( sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_653
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_655
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_657
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_659
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_661 ) )
| ( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_653
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_655
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_657
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_659
& sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_661
& r2_hidden(sK57(U_661,U_659,U_657,U_655,U_653,U_651),U_651) ) )
& ! [U_660,U_658,U_656,U_654,U_652,U_650] :
( ( ! [U_647] :
( r2_hidden(U_647,U_650)
| ( U_647 != U_652
& U_647 != U_654
& U_647 != U_656
& U_647 != U_658
& U_647 != U_660 ) )
& ! [U_646] :
( U_646 = U_652
| U_646 = U_654
| U_646 = U_656
| U_646 = U_658
| U_646 = U_660
| ~ r2_hidden(U_646,U_650) ) )
| U_650 != k3_enumset1(U_660,U_658,U_656,U_654,U_652) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_649,sK58(U_661,U_659,U_657,U_655,U_653,U_651))],[f_186_4]) ).
fof(f_186_6,plain,
( ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( ~ r2_hidden(sK58(U_661,U_659,U_657,U_655,U_653,U_651),U_651)
| ~ sP79(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_653
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_655
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_657
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_659
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_661
| ~ sP79(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_653
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_655
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_657
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_659
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_661
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( r2_hidden(sK57(U_661,U_659,U_657,U_655,U_653,U_651),U_651)
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_656,U_652,U_658,U_647,U_660,U_654] :
( U_647 != U_652
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) )
& ! [U_656,U_652,U_658,U_647,U_660,U_654] :
( U_647 != U_654
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) )
& ! [U_656,U_652,U_658,U_647,U_660,U_654] :
( U_647 != U_656
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) )
& ! [U_656,U_652,U_658,U_647,U_660,U_654] :
( U_647 != U_658
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) )
& ! [U_656,U_652,U_658,U_647,U_660,U_654] :
( U_647 != U_660
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) )
& ! [U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654] :
( r2_hidden(U_647,U_650)
| sP76(U_656,U_652,U_658,U_647,U_660,U_654)
| ~ sP77(U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654) )
& ! [U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654] :
( U_646 = U_652
| U_646 = U_654
| U_646 = U_656
| U_646 = U_658
| U_646 = U_660
| ~ r2_hidden(U_646,U_650)
| ~ sP77(U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654) )
& ! [U_651,U_653,U_659,U_655,U_657,U_661] :
( U_651 = k3_enumset1(U_661,U_659,U_657,U_655,U_653)
| sP79(U_651,U_653,U_659,U_655,U_657,U_661)
| sP78(U_651,U_653,U_659,U_655,U_657,U_661) )
& ! [U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654] :
( sP77(U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654)
| U_650 != k3_enumset1(U_660,U_658,U_656,U_654,U_652) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP76,sP77,sP78,sP79])],[f_186_5]) ).
cnf(f_186_7,plain,
( sP77(U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654)
| U_650 != k3_enumset1(U_660,U_658,U_656,U_654,U_652) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_8,plain,
( U_651 = k3_enumset1(U_661,U_659,U_657,U_655,U_653)
| sP79(U_651,U_653,U_659,U_655,U_657,U_661)
| sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_9,plain,
( U_646 = U_652
| U_646 = U_654
| U_646 = U_656
| U_646 = U_658
| U_646 = U_660
| ~ r2_hidden(U_646,U_650)
| ~ sP77(U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_10,plain,
( r2_hidden(U_647,U_650)
| sP76(U_656,U_652,U_658,U_647,U_660,U_654)
| ~ sP77(U_656,U_650,U_652,U_658,U_646,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_11,plain,
( U_647 != U_660
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_12,plain,
( U_647 != U_658
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_13,plain,
( U_647 != U_656
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_14,plain,
( U_647 != U_654
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_15,plain,
( U_647 != U_652
| ~ sP76(U_656,U_652,U_658,U_647,U_660,U_654) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_16,plain,
( r2_hidden(sK57(U_661,U_659,U_657,U_655,U_653,U_651),U_651)
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_17,plain,
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_661
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_18,plain,
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_659
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_19,plain,
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_657
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_20,plain,
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_655
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_21,plain,
( sK57(U_661,U_659,U_657,U_655,U_653,U_651) != U_653
| ~ sP78(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_22,plain,
( sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_653
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_655
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_657
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_659
| sK58(U_661,U_659,U_657,U_655,U_653,U_651) = U_661
| ~ sP79(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
cnf(f_186_23,plain,
( ~ r2_hidden(sK58(U_661,U_659,U_657,U_655,U_653,U_651),U_651)
| ~ sP79(U_651,U_653,U_659,U_655,U_657,U_661) ),
inference(clausify,[status(thm)],[f_186_6]) ).
fof(f_187_1,plain,
! [A,B,C,D,E,F,G] :
( ( G = k4_enumset1(A,B,C,D,E,F)
| ? [H] :
( ( ~ r2_hidden(H,G)
& ( H = F
| H = E
| H = D
| H = C
| H = B
| H = A ) )
| ( H != F
& H != E
& H != D
& H != C
& H != B
& H != A
& r2_hidden(H,G) ) ) )
& ( ! [H] :
( ( r2_hidden(H,G)
| ( H != F
& H != E
& H != D
& H != C
& H != B
& H != A ) )
& ( H = F
| H = E
| H = D
| H = C
| H = B
| H = A
| ~ r2_hidden(H,G) ) )
| G != k4_enumset1(A,B,C,D,E,F) ) ),
inference(fof_nnf,[status(thm)],[d4_enumset1]) ).
fof(f_187_2,plain,
! [U_670,U_669,U_668,U_667,U_666,U_665,U_664] :
( ( U_664 = k4_enumset1(U_670,U_669,U_668,U_667,U_666,U_665)
| ? [U_663] :
( ( ~ r2_hidden(U_663,U_664)
& ( U_663 = U_665
| U_663 = U_666
| U_663 = U_667
| U_663 = U_668
| U_663 = U_669
| U_663 = U_670 ) )
| ( U_663 != U_665
& U_663 != U_666
& U_663 != U_667
& U_663 != U_668
& U_663 != U_669
& U_663 != U_670
& r2_hidden(U_663,U_664) ) ) )
& ( ! [U_662] :
( ( r2_hidden(U_662,U_664)
| ( U_662 != U_665
& U_662 != U_666
& U_662 != U_667
& U_662 != U_668
& U_662 != U_669
& U_662 != U_670 ) )
& ( U_662 = U_665
| U_662 = U_666
| U_662 = U_667
| U_662 = U_668
| U_662 = U_669
| U_662 = U_670
| ~ r2_hidden(U_662,U_664) ) )
| U_664 != k4_enumset1(U_670,U_669,U_668,U_667,U_666,U_665) ) ),
inference(variable_rename,[status(thm)],[f_187_1]) ).
fof(f_187_3,plain,
( ! [U_688,U_686,U_684,U_682,U_680,U_678,U_676] :
( U_676 = k4_enumset1(U_688,U_686,U_684,U_682,U_680,U_678)
| ? [U_674] :
( ~ r2_hidden(U_674,U_676)
& ( U_674 = U_678
| U_674 = U_680
| U_674 = U_682
| U_674 = U_684
| U_674 = U_686
| U_674 = U_688 ) )
| ? [U_673] :
( U_673 != U_678
& U_673 != U_680
& U_673 != U_682
& U_673 != U_684
& U_673 != U_686
& U_673 != U_688
& r2_hidden(U_673,U_676) ) )
& ! [U_687,U_685,U_683,U_681,U_679,U_677,U_675] :
( ( ! [U_672] :
( r2_hidden(U_672,U_675)
| ( U_672 != U_677
& U_672 != U_679
& U_672 != U_681
& U_672 != U_683
& U_672 != U_685
& U_672 != U_687 ) )
& ! [U_671] :
( U_671 = U_677
| U_671 = U_679
| U_671 = U_681
| U_671 = U_683
| U_671 = U_685
| U_671 = U_687
| ~ r2_hidden(U_671,U_675) ) )
| U_675 != k4_enumset1(U_687,U_685,U_683,U_681,U_679,U_677) ) ),
inference(miniscope,[status(thm)],[f_187_2]) ).
fof(f_187_4,plain,
( ! [U_688,U_686,U_684,U_682,U_680,U_678,U_676] :
( U_676 = k4_enumset1(U_688,U_686,U_684,U_682,U_680,U_678)
| ? [U_674] :
( ~ r2_hidden(U_674,U_676)
& ( U_674 = U_678
| U_674 = U_680
| U_674 = U_682
| U_674 = U_684
| U_674 = U_686
| U_674 = U_688 ) )
| ( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_678
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_680
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_682
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_684
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_686
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_688
& r2_hidden(sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676) ) )
& ! [U_687,U_685,U_683,U_681,U_679,U_677,U_675] :
( ( ! [U_672] :
( r2_hidden(U_672,U_675)
| ( U_672 != U_677
& U_672 != U_679
& U_672 != U_681
& U_672 != U_683
& U_672 != U_685
& U_672 != U_687 ) )
& ! [U_671] :
( U_671 = U_677
| U_671 = U_679
| U_671 = U_681
| U_671 = U_683
| U_671 = U_685
| U_671 = U_687
| ~ r2_hidden(U_671,U_675) ) )
| U_675 != k4_enumset1(U_687,U_685,U_683,U_681,U_679,U_677) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_673,sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676))],[f_187_3]) ).
fof(f_187_5,plain,
( ! [U_688,U_686,U_684,U_682,U_680,U_678,U_676] :
( U_676 = k4_enumset1(U_688,U_686,U_684,U_682,U_680,U_678)
| ( ~ r2_hidden(sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676)
& ( sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_678
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_680
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_682
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_684
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_686
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_688 ) )
| ( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_678
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_680
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_682
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_684
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_686
& sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_688
& r2_hidden(sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676) ) )
& ! [U_687,U_685,U_683,U_681,U_679,U_677,U_675] :
( ( ! [U_672] :
( r2_hidden(U_672,U_675)
| ( U_672 != U_677
& U_672 != U_679
& U_672 != U_681
& U_672 != U_683
& U_672 != U_685
& U_672 != U_687 ) )
& ! [U_671] :
( U_671 = U_677
| U_671 = U_679
| U_671 = U_681
| U_671 = U_683
| U_671 = U_685
| U_671 = U_687
| ~ r2_hidden(U_671,U_675) ) )
| U_675 != k4_enumset1(U_687,U_685,U_683,U_681,U_679,U_677) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_674,sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676))],[f_187_4]) ).
fof(f_187_6,plain,
( ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( ~ r2_hidden(sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676)
| ~ sP83(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_678
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_680
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_682
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_684
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_686
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_688
| ~ sP83(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_678
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_680
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_682
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_684
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_686
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_688
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( r2_hidden(sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676)
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_679,U_687,U_683,U_681,U_672,U_677,U_685] :
( U_672 != U_677
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_683,U_681,U_672,U_677,U_685] :
( U_672 != U_679
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_683,U_681,U_672,U_677,U_685] :
( U_672 != U_681
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_683,U_681,U_672,U_677,U_685] :
( U_672 != U_683
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_683,U_681,U_672,U_677,U_685] :
( U_672 != U_685
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_683,U_681,U_672,U_677,U_685] :
( U_672 != U_687
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685] :
( r2_hidden(U_672,U_675)
| sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685)
| ~ sP81(U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685) )
& ! [U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685] :
( U_671 = U_677
| U_671 = U_679
| U_671 = U_681
| U_671 = U_683
| U_671 = U_685
| U_671 = U_687
| ~ r2_hidden(U_671,U_675)
| ~ sP81(U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685) )
& ! [U_688,U_684,U_686,U_678,U_682,U_676,U_680] :
( U_676 = k4_enumset1(U_688,U_686,U_684,U_682,U_680,U_678)
| sP83(U_688,U_684,U_686,U_678,U_682,U_676,U_680)
| sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) )
& ! [U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685] :
( sP81(U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685)
| U_675 != k4_enumset1(U_687,U_685,U_683,U_681,U_679,U_677) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP80,sP81,sP82,sP83])],[f_187_5]) ).
cnf(f_187_7,plain,
( sP81(U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685)
| U_675 != k4_enumset1(U_687,U_685,U_683,U_681,U_679,U_677) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_8,plain,
( U_676 = k4_enumset1(U_688,U_686,U_684,U_682,U_680,U_678)
| sP83(U_688,U_684,U_686,U_678,U_682,U_676,U_680)
| sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_9,plain,
( U_671 = U_677
| U_671 = U_679
| U_671 = U_681
| U_671 = U_683
| U_671 = U_685
| U_671 = U_687
| ~ r2_hidden(U_671,U_675)
| ~ sP81(U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_10,plain,
( r2_hidden(U_672,U_675)
| sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685)
| ~ sP81(U_679,U_687,U_675,U_671,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_11,plain,
( U_672 != U_687
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_12,plain,
( U_672 != U_685
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_13,plain,
( U_672 != U_683
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_14,plain,
( U_672 != U_681
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_15,plain,
( U_672 != U_679
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_16,plain,
( U_672 != U_677
| ~ sP80(U_679,U_687,U_683,U_681,U_672,U_677,U_685) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_17,plain,
( r2_hidden(sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676)
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_18,plain,
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_688
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_19,plain,
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_686
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_20,plain,
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_684
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_21,plain,
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_682
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_22,plain,
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_680
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_23,plain,
( sK59(U_688,U_686,U_684,U_682,U_680,U_678,U_676) != U_678
| ~ sP82(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_24,plain,
( sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_678
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_680
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_682
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_684
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_686
| sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676) = U_688
| ~ sP83(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
cnf(f_187_25,plain,
( ~ r2_hidden(sK60(U_688,U_686,U_684,U_682,U_680,U_678,U_676),U_676)
| ~ sP83(U_688,U_684,U_686,U_678,U_682,U_676,U_680) ),
inference(clausify,[status(thm)],[f_187_6]) ).
fof(f_188_1,plain,
! [A,B,C,D,E,F,G,H] :
( ( H = k5_enumset1(A,B,C,D,E,F,G)
| ? [I] :
( ( ~ r2_hidden(I,H)
& ( I = G
| I = F
| I = E
| I = D
| I = C
| I = B
| I = A ) )
| ( I != G
& I != F
& I != E
& I != D
& I != C
& I != B
& I != A
& r2_hidden(I,H) ) ) )
& ( ! [I] :
( ( r2_hidden(I,H)
| ( I != G
& I != F
& I != E
& I != D
& I != C
& I != B
& I != A ) )
& ( I = G
| I = F
| I = E
| I = D
| I = C
| I = B
| I = A
| ~ r2_hidden(I,H) ) )
| H != k5_enumset1(A,B,C,D,E,F,G) ) ),
inference(fof_nnf,[status(thm)],[d5_enumset1]) ).
fof(f_188_2,plain,
! [U_698,U_697,U_696,U_695,U_694,U_693,U_692,U_691] :
( ( U_691 = k5_enumset1(U_698,U_697,U_696,U_695,U_694,U_693,U_692)
| ? [U_690] :
( ( ~ r2_hidden(U_690,U_691)
& ( U_690 = U_692
| U_690 = U_693
| U_690 = U_694
| U_690 = U_695
| U_690 = U_696
| U_690 = U_697
| U_690 = U_698 ) )
| ( U_690 != U_692
& U_690 != U_693
& U_690 != U_694
& U_690 != U_695
& U_690 != U_696
& U_690 != U_697
& U_690 != U_698
& r2_hidden(U_690,U_691) ) ) )
& ( ! [U_689] :
( ( r2_hidden(U_689,U_691)
| ( U_689 != U_692
& U_689 != U_693
& U_689 != U_694
& U_689 != U_695
& U_689 != U_696
& U_689 != U_697
& U_689 != U_698 ) )
& ( U_689 = U_692
| U_689 = U_693
| U_689 = U_694
| U_689 = U_695
| U_689 = U_696
| U_689 = U_697
| U_689 = U_698
| ~ r2_hidden(U_689,U_691) ) )
| U_691 != k5_enumset1(U_698,U_697,U_696,U_695,U_694,U_693,U_692) ) ),
inference(variable_rename,[status(thm)],[f_188_1]) ).
fof(f_188_3,plain,
( ! [U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704] :
( U_704 = k5_enumset1(U_718,U_716,U_714,U_712,U_710,U_708,U_706)
| ? [U_702] :
( ~ r2_hidden(U_702,U_704)
& ( U_702 = U_706
| U_702 = U_708
| U_702 = U_710
| U_702 = U_712
| U_702 = U_714
| U_702 = U_716
| U_702 = U_718 ) )
| ? [U_701] :
( U_701 != U_706
& U_701 != U_708
& U_701 != U_710
& U_701 != U_712
& U_701 != U_714
& U_701 != U_716
& U_701 != U_718
& r2_hidden(U_701,U_704) ) )
& ! [U_717,U_715,U_713,U_711,U_709,U_707,U_705,U_703] :
( ( ! [U_700] :
( r2_hidden(U_700,U_703)
| ( U_700 != U_705
& U_700 != U_707
& U_700 != U_709
& U_700 != U_711
& U_700 != U_713
& U_700 != U_715
& U_700 != U_717 ) )
& ! [U_699] :
( U_699 = U_705
| U_699 = U_707
| U_699 = U_709
| U_699 = U_711
| U_699 = U_713
| U_699 = U_715
| U_699 = U_717
| ~ r2_hidden(U_699,U_703) ) )
| U_703 != k5_enumset1(U_717,U_715,U_713,U_711,U_709,U_707,U_705) ) ),
inference(miniscope,[status(thm)],[f_188_2]) ).
fof(f_188_4,plain,
( ! [U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704] :
( U_704 = k5_enumset1(U_718,U_716,U_714,U_712,U_710,U_708,U_706)
| ? [U_702] :
( ~ r2_hidden(U_702,U_704)
& ( U_702 = U_706
| U_702 = U_708
| U_702 = U_710
| U_702 = U_712
| U_702 = U_714
| U_702 = U_716
| U_702 = U_718 ) )
| ( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_706
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_708
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_710
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_712
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_714
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_716
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_718
& r2_hidden(sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704) ) )
& ! [U_717,U_715,U_713,U_711,U_709,U_707,U_705,U_703] :
( ( ! [U_700] :
( r2_hidden(U_700,U_703)
| ( U_700 != U_705
& U_700 != U_707
& U_700 != U_709
& U_700 != U_711
& U_700 != U_713
& U_700 != U_715
& U_700 != U_717 ) )
& ! [U_699] :
( U_699 = U_705
| U_699 = U_707
| U_699 = U_709
| U_699 = U_711
| U_699 = U_713
| U_699 = U_715
| U_699 = U_717
| ~ r2_hidden(U_699,U_703) ) )
| U_703 != k5_enumset1(U_717,U_715,U_713,U_711,U_709,U_707,U_705) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_701,sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704))],[f_188_3]) ).
fof(f_188_5,plain,
( ! [U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704] :
( U_704 = k5_enumset1(U_718,U_716,U_714,U_712,U_710,U_708,U_706)
| ( ~ r2_hidden(sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704)
& ( sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_706
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_708
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_710
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_712
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_714
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_716
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_718 ) )
| ( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_706
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_708
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_710
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_712
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_714
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_716
& sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_718
& r2_hidden(sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704) ) )
& ! [U_717,U_715,U_713,U_711,U_709,U_707,U_705,U_703] :
( ( ! [U_700] :
( r2_hidden(U_700,U_703)
| ( U_700 != U_705
& U_700 != U_707
& U_700 != U_709
& U_700 != U_711
& U_700 != U_713
& U_700 != U_715
& U_700 != U_717 ) )
& ! [U_699] :
( U_699 = U_705
| U_699 = U_707
| U_699 = U_709
| U_699 = U_711
| U_699 = U_713
| U_699 = U_715
| U_699 = U_717
| ~ r2_hidden(U_699,U_703) ) )
| U_703 != k5_enumset1(U_717,U_715,U_713,U_711,U_709,U_707,U_705) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_702,sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704))],[f_188_4]) ).
fof(f_188_6,plain,
( ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( ~ r2_hidden(sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704)
| ~ sP87(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_706
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_708
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_710
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_712
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_714
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_716
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_718
| ~ sP87(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_706
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_708
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_710
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_712
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_714
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_716
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_718
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( r2_hidden(sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704)
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_705
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_707
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_709
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_711
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_713
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_715
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705] :
( U_700 != U_717
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) )
& ! [U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703] :
( r2_hidden(U_700,U_703)
| sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705)
| ~ sP85(U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703) )
& ! [U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703] :
( U_699 = U_705
| U_699 = U_707
| U_699 = U_709
| U_699 = U_711
| U_699 = U_713
| U_699 = U_715
| U_699 = U_717
| ~ r2_hidden(U_699,U_703)
| ~ sP85(U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703) )
& ! [U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712] :
( U_704 = k5_enumset1(U_718,U_716,U_714,U_712,U_710,U_708,U_706)
| sP87(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712)
| sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) )
& ! [U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703] :
( sP85(U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703)
| U_703 != k5_enumset1(U_717,U_715,U_713,U_711,U_709,U_707,U_705) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP84,sP85,sP86,sP87])],[f_188_5]) ).
cnf(f_188_7,plain,
( sP85(U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703)
| U_703 != k5_enumset1(U_717,U_715,U_713,U_711,U_709,U_707,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_8,plain,
( U_704 = k5_enumset1(U_718,U_716,U_714,U_712,U_710,U_708,U_706)
| sP87(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712)
| sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_9,plain,
( U_699 = U_705
| U_699 = U_707
| U_699 = U_709
| U_699 = U_711
| U_699 = U_713
| U_699 = U_715
| U_699 = U_717
| ~ r2_hidden(U_699,U_703)
| ~ sP85(U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_10,plain,
( r2_hidden(U_700,U_703)
| sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705)
| ~ sP85(U_707,U_715,U_709,U_700,U_699,U_713,U_717,U_711,U_705,U_703) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_11,plain,
( U_700 != U_717
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_12,plain,
( U_700 != U_715
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_13,plain,
( U_700 != U_713
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_14,plain,
( U_700 != U_711
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_15,plain,
( U_700 != U_709
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_16,plain,
( U_700 != U_707
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_17,plain,
( U_700 != U_705
| ~ sP84(U_707,U_715,U_709,U_700,U_713,U_717,U_711,U_705) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_18,plain,
( r2_hidden(sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704)
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_19,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_718
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_20,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_716
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_21,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_714
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_22,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_712
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_23,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_710
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_24,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_708
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_25,plain,
( sK61(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) != U_706
| ~ sP86(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_26,plain,
( sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_706
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_708
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_710
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_712
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_714
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_716
| sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704) = U_718
| ~ sP87(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
cnf(f_188_27,plain,
( ~ r2_hidden(sK62(U_718,U_716,U_714,U_712,U_710,U_708,U_706,U_704),U_704)
| ~ sP87(U_708,U_718,U_706,U_716,U_704,U_710,U_714,U_712) ),
inference(clausify,[status(thm)],[f_188_6]) ).
fof(f_189_1,plain,
! [A,B,C,D,E,F,G,H,I] :
( ( I = k6_enumset1(A,B,C,D,E,F,G,H)
| ? [J] :
( ( ~ r2_hidden(J,I)
& ( J = H
| J = G
| J = F
| J = E
| J = D
| J = C
| J = B
| J = A ) )
| ( J != H
& J != G
& J != F
& J != E
& J != D
& J != C
& J != B
& J != A
& r2_hidden(J,I) ) ) )
& ( ! [J] :
( ( r2_hidden(J,I)
| ( J != H
& J != G
& J != F
& J != E
& J != D
& J != C
& J != B
& J != A ) )
& ( J = H
| J = G
| J = F
| J = E
| J = D
| J = C
| J = B
| J = A
| ~ r2_hidden(J,I) ) )
| I != k6_enumset1(A,B,C,D,E,F,G,H) ) ),
inference(fof_nnf,[status(thm)],[d6_enumset1]) ).
fof(f_189_2,plain,
! [U_729,U_728,U_727,U_726,U_725,U_724,U_723,U_722,U_721] :
( ( U_721 = k6_enumset1(U_729,U_728,U_727,U_726,U_725,U_724,U_723,U_722)
| ? [U_720] :
( ( ~ r2_hidden(U_720,U_721)
& ( U_720 = U_722
| U_720 = U_723
| U_720 = U_724
| U_720 = U_725
| U_720 = U_726
| U_720 = U_727
| U_720 = U_728
| U_720 = U_729 ) )
| ( U_720 != U_722
& U_720 != U_723
& U_720 != U_724
& U_720 != U_725
& U_720 != U_726
& U_720 != U_727
& U_720 != U_728
& U_720 != U_729
& r2_hidden(U_720,U_721) ) ) )
& ( ! [U_719] :
( ( r2_hidden(U_719,U_721)
| ( U_719 != U_722
& U_719 != U_723
& U_719 != U_724
& U_719 != U_725
& U_719 != U_726
& U_719 != U_727
& U_719 != U_728
& U_719 != U_729 ) )
& ( U_719 = U_722
| U_719 = U_723
| U_719 = U_724
| U_719 = U_725
| U_719 = U_726
| U_719 = U_727
| U_719 = U_728
| U_719 = U_729
| ~ r2_hidden(U_719,U_721) ) )
| U_721 != k6_enumset1(U_729,U_728,U_727,U_726,U_725,U_724,U_723,U_722) ) ),
inference(variable_rename,[status(thm)],[f_189_1]) ).
fof(f_189_3,plain,
( ! [U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735] :
( U_735 = k6_enumset1(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737)
| ? [U_733] :
( ~ r2_hidden(U_733,U_735)
& ( U_733 = U_737
| U_733 = U_739
| U_733 = U_741
| U_733 = U_743
| U_733 = U_745
| U_733 = U_747
| U_733 = U_749
| U_733 = U_751 ) )
| ? [U_732] :
( U_732 != U_737
& U_732 != U_739
& U_732 != U_741
& U_732 != U_743
& U_732 != U_745
& U_732 != U_747
& U_732 != U_749
& U_732 != U_751
& r2_hidden(U_732,U_735) ) )
& ! [U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736,U_734] :
( ( ! [U_731] :
( r2_hidden(U_731,U_734)
| ( U_731 != U_736
& U_731 != U_738
& U_731 != U_740
& U_731 != U_742
& U_731 != U_744
& U_731 != U_746
& U_731 != U_748
& U_731 != U_750 ) )
& ! [U_730] :
( U_730 = U_736
| U_730 = U_738
| U_730 = U_740
| U_730 = U_742
| U_730 = U_744
| U_730 = U_746
| U_730 = U_748
| U_730 = U_750
| ~ r2_hidden(U_730,U_734) ) )
| U_734 != k6_enumset1(U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736) ) ),
inference(miniscope,[status(thm)],[f_189_2]) ).
fof(f_189_4,plain,
( ! [U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735] :
( U_735 = k6_enumset1(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737)
| ? [U_733] :
( ~ r2_hidden(U_733,U_735)
& ( U_733 = U_737
| U_733 = U_739
| U_733 = U_741
| U_733 = U_743
| U_733 = U_745
| U_733 = U_747
| U_733 = U_749
| U_733 = U_751 ) )
| ( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_737
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_739
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_741
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_743
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_745
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_747
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_749
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_751
& r2_hidden(sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735) ) )
& ! [U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736,U_734] :
( ( ! [U_731] :
( r2_hidden(U_731,U_734)
| ( U_731 != U_736
& U_731 != U_738
& U_731 != U_740
& U_731 != U_742
& U_731 != U_744
& U_731 != U_746
& U_731 != U_748
& U_731 != U_750 ) )
& ! [U_730] :
( U_730 = U_736
| U_730 = U_738
| U_730 = U_740
| U_730 = U_742
| U_730 = U_744
| U_730 = U_746
| U_730 = U_748
| U_730 = U_750
| ~ r2_hidden(U_730,U_734) ) )
| U_734 != k6_enumset1(U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_732,sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735))],[f_189_3]) ).
fof(f_189_5,plain,
( ! [U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735] :
( U_735 = k6_enumset1(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737)
| ( ~ r2_hidden(sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735)
& ( sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_737
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_739
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_741
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_743
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_745
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_747
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_749
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_751 ) )
| ( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_737
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_739
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_741
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_743
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_745
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_747
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_749
& sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_751
& r2_hidden(sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735) ) )
& ! [U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736,U_734] :
( ( ! [U_731] :
( r2_hidden(U_731,U_734)
| ( U_731 != U_736
& U_731 != U_738
& U_731 != U_740
& U_731 != U_742
& U_731 != U_744
& U_731 != U_746
& U_731 != U_748
& U_731 != U_750 ) )
& ! [U_730] :
( U_730 = U_736
| U_730 = U_738
| U_730 = U_740
| U_730 = U_742
| U_730 = U_744
| U_730 = U_746
| U_730 = U_748
| U_730 = U_750
| ~ r2_hidden(U_730,U_734) ) )
| U_734 != k6_enumset1(U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_733,sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735))],[f_189_4]) ).
fof(f_189_6,plain,
( ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( ~ r2_hidden(sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735)
| ~ sP91(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_737
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_739
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_741
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_743
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_745
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_747
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_749
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_751
| ~ sP91(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_737
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_739
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_741
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_743
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_745
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_747
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_749
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_751
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( r2_hidden(sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735)
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_736
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_738
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_740
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_742
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_744
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_746
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_748
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_731 != U_750
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( r2_hidden(U_731,U_734)
| sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731)
| ~ sP89(U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( U_730 = U_736
| U_730 = U_738
| U_730 = U_740
| U_730 = U_742
| U_730 = U_744
| U_730 = U_746
| U_730 = U_748
| U_730 = U_750
| ~ r2_hidden(U_730,U_734)
| ~ sP89(U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) )
& ! [U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741] :
( U_735 = k6_enumset1(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737)
| sP91(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741)
| sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) )
& ! [U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731] :
( sP89(U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731)
| U_734 != k6_enumset1(U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP88,sP89,sP90,sP91])],[f_189_5]) ).
cnf(f_189_7,plain,
( sP89(U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731)
| U_734 != k6_enumset1(U_750,U_748,U_746,U_744,U_742,U_740,U_738,U_736) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_8,plain,
( U_735 = k6_enumset1(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737)
| sP91(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741)
| sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_9,plain,
( U_730 = U_736
| U_730 = U_738
| U_730 = U_740
| U_730 = U_742
| U_730 = U_744
| U_730 = U_746
| U_730 = U_748
| U_730 = U_750
| ~ r2_hidden(U_730,U_734)
| ~ sP89(U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_10,plain,
( r2_hidden(U_731,U_734)
| sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731)
| ~ sP89(U_730,U_738,U_734,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_11,plain,
( U_731 != U_750
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_12,plain,
( U_731 != U_748
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_13,plain,
( U_731 != U_746
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_14,plain,
( U_731 != U_744
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_15,plain,
( U_731 != U_742
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_16,plain,
( U_731 != U_740
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_17,plain,
( U_731 != U_738
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_18,plain,
( U_731 != U_736
| ~ sP88(U_738,U_736,U_746,U_748,U_750,U_740,U_742,U_744,U_731) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_19,plain,
( r2_hidden(sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735)
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_20,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_751
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_21,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_749
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_22,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_747
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_23,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_745
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_24,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_743
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_25,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_741
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_26,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_739
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_27,plain,
( sK63(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) != U_737
| ~ sP90(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_28,plain,
( sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_737
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_739
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_741
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_743
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_745
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_747
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_749
| sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735) = U_751
| ~ sP91(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
cnf(f_189_29,plain,
( ~ r2_hidden(sK64(U_751,U_749,U_747,U_745,U_743,U_741,U_739,U_737,U_735),U_735)
| ~ sP91(U_745,U_749,U_751,U_739,U_747,U_743,U_735,U_737,U_741) ),
inference(clausify,[status(thm)],[f_189_6]) ).
fof(f_190_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_enumset1]) ).
fof(f_190_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_190_1]) ).
cnf(f_190_3,plain,
$true,
inference(clausify,[status(thm)],[f_190_2]) ).
fof(f_191_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_enumset1]) ).
fof(f_191_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_191_1]) ).
cnf(f_191_3,plain,
$true,
inference(clausify,[status(thm)],[f_191_2]) ).
fof(f_192_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_enumset1]) ).
fof(f_192_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_192_1]) ).
cnf(f_192_3,plain,
$true,
inference(clausify,[status(thm)],[f_192_2]) ).
fof(f_193_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_enumset1]) ).
fof(f_193_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_193_1]) ).
cnf(f_193_3,plain,
$true,
inference(clausify,[status(thm)],[f_193_2]) ).
fof(f_194_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_enumset1]) ).
fof(f_194_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_194_1]) ).
cnf(f_194_3,plain,
$true,
inference(clausify,[status(thm)],[f_194_2]) ).
fof(f_195_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_enumset1]) ).
fof(f_195_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_195_1]) ).
cnf(f_195_3,plain,
$true,
inference(clausify,[status(thm)],[f_195_2]) ).
fof(f_196_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_enumset1]) ).
fof(f_196_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_196_1]) ).
cnf(f_196_3,plain,
$true,
inference(clausify,[status(thm)],[f_196_2]) ).
fof(f_197_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_enumset1]) ).
fof(f_197_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_197_1]) ).
cnf(f_197_3,plain,
$true,
inference(clausify,[status(thm)],[f_197_2]) ).
fof(f_198_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_enumset1]) ).
fof(f_198_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_198_1]) ).
cnf(f_198_3,plain,
$true,
inference(clausify,[status(thm)],[f_198_2]) ).
fof(f_199_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_enumset1]) ).
fof(f_199_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_199_1]) ).
cnf(f_199_3,plain,
$true,
inference(clausify,[status(thm)],[f_199_2]) ).
fof(f_200_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_enumset1]) ).
fof(f_200_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_200_1]) ).
cnf(f_200_3,plain,
$true,
inference(clausify,[status(thm)],[f_200_2]) ).
fof(f_201_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_enumset1]) ).
fof(f_201_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_201_1]) ).
cnf(f_201_3,plain,
$true,
inference(clausify,[status(thm)],[f_201_2]) ).
fof(f_202_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_enumset1]) ).
fof(f_202_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_202_1]) ).
cnf(f_202_3,plain,
$true,
inference(clausify,[status(thm)],[f_202_2]) ).
fof(f_203_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_enumset1]) ).
fof(f_203_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_203_1]) ).
cnf(f_203_3,plain,
$true,
inference(clausify,[status(thm)],[f_203_2]) ).
fof(f_204_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_enumset1]) ).
fof(f_204_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_204_1]) ).
cnf(f_204_3,plain,
$true,
inference(clausify,[status(thm)],[f_204_2]) ).
fof(f_205_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_enumset1]) ).
fof(f_205_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_205_1]) ).
cnf(f_205_3,plain,
$true,
inference(clausify,[status(thm)],[f_205_2]) ).
fof(f_206_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_enumset1]) ).
fof(f_206_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_206_1]) ).
cnf(f_206_3,plain,
$true,
inference(clausify,[status(thm)],[f_206_2]) ).
fof(f_207_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_enumset1]) ).
fof(f_207_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_207_1]) ).
cnf(f_207_3,plain,
$true,
inference(clausify,[status(thm)],[f_207_2]) ).
fof(f_208_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t19_enumset1]) ).
fof(f_208_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_208_1]) ).
cnf(f_208_3,plain,
$true,
inference(clausify,[status(thm)],[f_208_2]) ).
fof(f_209_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_enumset1]) ).
fof(f_209_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_209_1]) ).
cnf(f_209_3,plain,
$true,
inference(clausify,[status(thm)],[f_209_2]) ).
fof(f_210_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t21_enumset1]) ).
fof(f_210_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_210_1]) ).
cnf(f_210_3,plain,
$true,
inference(clausify,[status(thm)],[f_210_2]) ).
fof(f_211_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t22_enumset1]) ).
fof(f_211_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_211_1]) ).
cnf(f_211_3,plain,
$true,
inference(clausify,[status(thm)],[f_211_2]) ).
fof(f_212_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t23_enumset1]) ).
fof(f_212_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_212_1]) ).
cnf(f_212_3,plain,
$true,
inference(clausify,[status(thm)],[f_212_2]) ).
fof(f_213_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_enumset1]) ).
fof(f_213_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_213_1]) ).
cnf(f_213_3,plain,
$true,
inference(clausify,[status(thm)],[f_213_2]) ).
fof(f_214_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t25_enumset1]) ).
fof(f_214_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_214_1]) ).
cnf(f_214_3,plain,
$true,
inference(clausify,[status(thm)],[f_214_2]) ).
fof(f_215_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_enumset1]) ).
fof(f_215_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_215_1]) ).
cnf(f_215_3,plain,
$true,
inference(clausify,[status(thm)],[f_215_2]) ).
fof(f_216_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_enumset1]) ).
fof(f_216_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_216_1]) ).
cnf(f_216_3,plain,
$true,
inference(clausify,[status(thm)],[f_216_2]) ).
fof(f_217_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_enumset1]) ).
fof(f_217_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_217_1]) ).
cnf(f_217_3,plain,
$true,
inference(clausify,[status(thm)],[f_217_2]) ).
fof(f_218_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_enumset1]) ).
fof(f_218_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_218_1]) ).
cnf(f_218_3,plain,
$true,
inference(clausify,[status(thm)],[f_218_2]) ).
fof(f_219_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_enumset1]) ).
fof(f_219_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_219_1]) ).
cnf(f_219_3,plain,
$true,
inference(clausify,[status(thm)],[f_219_2]) ).
fof(f_220_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_enumset1]) ).
fof(f_220_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_220_1]) ).
cnf(f_220_3,plain,
$true,
inference(clausify,[status(thm)],[f_220_2]) ).
fof(f_221_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_enumset1]) ).
fof(f_221_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_221_1]) ).
cnf(f_221_3,plain,
$true,
inference(clausify,[status(thm)],[f_221_2]) ).
fof(f_222_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t33_enumset1]) ).
fof(f_222_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_222_1]) ).
cnf(f_222_3,plain,
$true,
inference(clausify,[status(thm)],[f_222_2]) ).
fof(f_223_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t34_enumset1]) ).
fof(f_223_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_223_1]) ).
cnf(f_223_3,plain,
$true,
inference(clausify,[status(thm)],[f_223_2]) ).
fof(f_224_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t35_enumset1]) ).
fof(f_224_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_224_1]) ).
cnf(f_224_3,plain,
$true,
inference(clausify,[status(thm)],[f_224_2]) ).
fof(f_225_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_enumset1]) ).
fof(f_225_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_225_1]) ).
cnf(f_225_3,plain,
$true,
inference(clausify,[status(thm)],[f_225_2]) ).
fof(f_226_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_enumset1]) ).
fof(f_226_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_226_1]) ).
cnf(f_226_3,plain,
$true,
inference(clausify,[status(thm)],[f_226_2]) ).
fof(f_227_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t38_enumset1]) ).
fof(f_227_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_227_1]) ).
cnf(f_227_3,plain,
$true,
inference(clausify,[status(thm)],[f_227_2]) ).
fof(f_228_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_enumset1]) ).
fof(f_228_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_228_1]) ).
cnf(f_228_3,plain,
$true,
inference(clausify,[status(thm)],[f_228_2]) ).
fof(f_229_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t40_enumset1]) ).
fof(f_229_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_229_1]) ).
cnf(f_229_3,plain,
$true,
inference(clausify,[status(thm)],[f_229_2]) ).
fof(f_230_1,plain,
! [A,B] : k2_tarski(A,B) = k2_xboole_0(k1_tarski(A),k1_tarski(B)),
inference(fof_nnf,[status(thm)],[t41_enumset1]) ).
fof(f_230_2,plain,
! [U_753,U_752] : k2_tarski(U_753,U_752) = k2_xboole_0(k1_tarski(U_753),k1_tarski(U_752)),
inference(variable_rename,[status(thm)],[f_230_1]) ).
fof(f_230_3,plain,
! [U_752,U_753] : k2_tarski(U_753,U_752) = k2_xboole_0(k1_tarski(U_753),k1_tarski(U_752)),
inference(definitional_conversion,[status(esa)],[f_230_2]) ).
cnf(f_230_4,plain,
k2_tarski(U_753,U_752) = k2_xboole_0(k1_tarski(U_753),k1_tarski(U_752)),
inference(clausify,[status(thm)],[f_230_3]) ).
fof(f_231_1,plain,
! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k1_tarski(A),k2_tarski(B,C)),
inference(fof_nnf,[status(thm)],[t42_enumset1]) ).
fof(f_231_2,plain,
! [U_756,U_755,U_754] : k1_enumset1(U_756,U_755,U_754) = k2_xboole_0(k1_tarski(U_756),k2_tarski(U_755,U_754)),
inference(variable_rename,[status(thm)],[f_231_1]) ).
fof(f_231_3,plain,
! [U_755,U_756,U_754] : k1_enumset1(U_756,U_755,U_754) = k2_xboole_0(k1_tarski(U_756),k2_tarski(U_755,U_754)),
inference(definitional_conversion,[status(esa)],[f_231_2]) ).
cnf(f_231_4,plain,
k1_enumset1(U_756,U_755,U_754) = k2_xboole_0(k1_tarski(U_756),k2_tarski(U_755,U_754)),
inference(clausify,[status(thm)],[f_231_3]) ).
fof(f_232_1,plain,
! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k2_tarski(A,B),k1_tarski(C)),
inference(fof_nnf,[status(thm)],[t43_enumset1]) ).
fof(f_232_2,plain,
! [U_759,U_758,U_757] : k1_enumset1(U_759,U_758,U_757) = k2_xboole_0(k2_tarski(U_759,U_758),k1_tarski(U_757)),
inference(variable_rename,[status(thm)],[f_232_1]) ).
fof(f_232_3,plain,
! [U_759,U_757,U_758] : k1_enumset1(U_759,U_758,U_757) = k2_xboole_0(k2_tarski(U_759,U_758),k1_tarski(U_757)),
inference(definitional_conversion,[status(esa)],[f_232_2]) ).
cnf(f_232_4,plain,
k1_enumset1(U_759,U_758,U_757) = k2_xboole_0(k2_tarski(U_759,U_758),k1_tarski(U_757)),
inference(clausify,[status(thm)],[f_232_3]) ).
fof(f_233_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D)),
inference(fof_nnf,[status(thm)],[t44_enumset1]) ).
fof(f_233_2,plain,
! [U_763,U_762,U_761,U_760] : k2_enumset1(U_763,U_762,U_761,U_760) = k2_xboole_0(k1_tarski(U_763),k1_enumset1(U_762,U_761,U_760)),
inference(variable_rename,[status(thm)],[f_233_1]) ).
fof(f_233_3,plain,
! [U_763,U_760,U_761,U_762] : k2_enumset1(U_763,U_762,U_761,U_760) = k2_xboole_0(k1_tarski(U_763),k1_enumset1(U_762,U_761,U_760)),
inference(definitional_conversion,[status(esa)],[f_233_2]) ).
cnf(f_233_4,plain,
k2_enumset1(U_763,U_762,U_761,U_760) = k2_xboole_0(k1_tarski(U_763),k1_enumset1(U_762,U_761,U_760)),
inference(clausify,[status(thm)],[f_233_3]) ).
fof(f_234_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D)),
inference(fof_nnf,[status(thm)],[t45_enumset1]) ).
fof(f_234_2,plain,
! [U_767,U_766,U_765,U_764] : k2_enumset1(U_767,U_766,U_765,U_764) = k2_xboole_0(k2_tarski(U_767,U_766),k2_tarski(U_765,U_764)),
inference(variable_rename,[status(thm)],[f_234_1]) ).
fof(f_234_3,plain,
! [U_766,U_765,U_767,U_764] : k2_enumset1(U_767,U_766,U_765,U_764) = k2_xboole_0(k2_tarski(U_767,U_766),k2_tarski(U_765,U_764)),
inference(definitional_conversion,[status(esa)],[f_234_2]) ).
cnf(f_234_4,plain,
k2_enumset1(U_767,U_766,U_765,U_764) = k2_xboole_0(k2_tarski(U_767,U_766),k2_tarski(U_765,U_764)),
inference(clausify,[status(thm)],[f_234_3]) ).
fof(f_235_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_enumset1(A,B,C),k1_tarski(D)),
inference(fof_nnf,[status(thm)],[t46_enumset1]) ).
fof(f_235_2,plain,
! [U_771,U_770,U_769,U_768] : k2_enumset1(U_771,U_770,U_769,U_768) = k2_xboole_0(k1_enumset1(U_771,U_770,U_769),k1_tarski(U_768)),
inference(variable_rename,[status(thm)],[f_235_1]) ).
fof(f_235_3,plain,
! [U_769,U_770,U_768,U_771] : k2_enumset1(U_771,U_770,U_769,U_768) = k2_xboole_0(k1_enumset1(U_771,U_770,U_769),k1_tarski(U_768)),
inference(definitional_conversion,[status(esa)],[f_235_2]) ).
cnf(f_235_4,plain,
k2_enumset1(U_771,U_770,U_769,U_768) = k2_xboole_0(k1_enumset1(U_771,U_770,U_769),k1_tarski(U_768)),
inference(clausify,[status(thm)],[f_235_3]) ).
fof(f_236_1,plain,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)),
inference(fof_nnf,[status(thm)],[t47_enumset1]) ).
fof(f_236_2,plain,
! [U_776,U_775,U_774,U_773,U_772] : k3_enumset1(U_776,U_775,U_774,U_773,U_772) = k2_xboole_0(k1_tarski(U_776),k2_enumset1(U_775,U_774,U_773,U_772)),
inference(variable_rename,[status(thm)],[f_236_1]) ).
fof(f_236_3,plain,
! [U_774,U_772,U_775,U_776,U_773] : k3_enumset1(U_776,U_775,U_774,U_773,U_772) = k2_xboole_0(k1_tarski(U_776),k2_enumset1(U_775,U_774,U_773,U_772)),
inference(definitional_conversion,[status(esa)],[f_236_2]) ).
cnf(f_236_4,plain,
k3_enumset1(U_776,U_775,U_774,U_773,U_772) = k2_xboole_0(k1_tarski(U_776),k2_enumset1(U_775,U_774,U_773,U_772)),
inference(clausify,[status(thm)],[f_236_3]) ).
fof(f_237_1,plain,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_tarski(A,B),k1_enumset1(C,D,E)),
inference(fof_nnf,[status(thm)],[t48_enumset1]) ).
fof(f_237_2,plain,
! [U_781,U_780,U_779,U_778,U_777] : k3_enumset1(U_781,U_780,U_779,U_778,U_777) = k2_xboole_0(k2_tarski(U_781,U_780),k1_enumset1(U_779,U_778,U_777)),
inference(variable_rename,[status(thm)],[f_237_1]) ).
fof(f_237_3,plain,
! [U_779,U_780,U_781,U_777,U_778] : k3_enumset1(U_781,U_780,U_779,U_778,U_777) = k2_xboole_0(k2_tarski(U_781,U_780),k1_enumset1(U_779,U_778,U_777)),
inference(definitional_conversion,[status(esa)],[f_237_2]) ).
cnf(f_237_4,plain,
k3_enumset1(U_781,U_780,U_779,U_778,U_777) = k2_xboole_0(k2_tarski(U_781,U_780),k1_enumset1(U_779,U_778,U_777)),
inference(clausify,[status(thm)],[f_237_3]) ).
fof(f_238_1,plain,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_enumset1(A,B,C),k2_tarski(D,E)),
inference(fof_nnf,[status(thm)],[t49_enumset1]) ).
fof(f_238_2,plain,
! [U_786,U_785,U_784,U_783,U_782] : k3_enumset1(U_786,U_785,U_784,U_783,U_782) = k2_xboole_0(k1_enumset1(U_786,U_785,U_784),k2_tarski(U_783,U_782)),
inference(variable_rename,[status(thm)],[f_238_1]) ).
fof(f_238_3,plain,
! [U_784,U_785,U_786,U_782,U_783] : k3_enumset1(U_786,U_785,U_784,U_783,U_782) = k2_xboole_0(k1_enumset1(U_786,U_785,U_784),k2_tarski(U_783,U_782)),
inference(definitional_conversion,[status(esa)],[f_238_2]) ).
cnf(f_238_4,plain,
k3_enumset1(U_786,U_785,U_784,U_783,U_782) = k2_xboole_0(k1_enumset1(U_786,U_785,U_784),k2_tarski(U_783,U_782)),
inference(clausify,[status(thm)],[f_238_3]) ).
fof(f_239_1,plain,
! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)),
inference(fof_nnf,[status(thm)],[t50_enumset1]) ).
fof(f_239_2,plain,
! [U_791,U_790,U_789,U_788,U_787] : k3_enumset1(U_791,U_790,U_789,U_788,U_787) = k2_xboole_0(k2_enumset1(U_791,U_790,U_789,U_788),k1_tarski(U_787)),
inference(variable_rename,[status(thm)],[f_239_1]) ).
fof(f_239_3,plain,
! [U_791,U_787,U_788,U_789,U_790] : k3_enumset1(U_791,U_790,U_789,U_788,U_787) = k2_xboole_0(k2_enumset1(U_791,U_790,U_789,U_788),k1_tarski(U_787)),
inference(definitional_conversion,[status(esa)],[f_239_2]) ).
cnf(f_239_4,plain,
k3_enumset1(U_791,U_790,U_789,U_788,U_787) = k2_xboole_0(k2_enumset1(U_791,U_790,U_789,U_788),k1_tarski(U_787)),
inference(clausify,[status(thm)],[f_239_3]) ).
fof(f_240_1,plain,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F)),
inference(fof_nnf,[status(thm)],[t51_enumset1]) ).
fof(f_240_2,plain,
! [U_797,U_796,U_795,U_794,U_793,U_792] : k4_enumset1(U_797,U_796,U_795,U_794,U_793,U_792) = k2_xboole_0(k1_tarski(U_797),k3_enumset1(U_796,U_795,U_794,U_793,U_792)),
inference(variable_rename,[status(thm)],[f_240_1]) ).
fof(f_240_3,plain,
! [U_795,U_796,U_793,U_792,U_797,U_794] : k4_enumset1(U_797,U_796,U_795,U_794,U_793,U_792) = k2_xboole_0(k1_tarski(U_797),k3_enumset1(U_796,U_795,U_794,U_793,U_792)),
inference(definitional_conversion,[status(esa)],[f_240_2]) ).
cnf(f_240_4,plain,
k4_enumset1(U_797,U_796,U_795,U_794,U_793,U_792) = k2_xboole_0(k1_tarski(U_797),k3_enumset1(U_796,U_795,U_794,U_793,U_792)),
inference(clausify,[status(thm)],[f_240_3]) ).
fof(f_241_1,plain,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F)),
inference(fof_nnf,[status(thm)],[t52_enumset1]) ).
fof(f_241_2,plain,
! [U_803,U_802,U_801,U_800,U_799,U_798] : k4_enumset1(U_803,U_802,U_801,U_800,U_799,U_798) = k2_xboole_0(k2_tarski(U_803,U_802),k2_enumset1(U_801,U_800,U_799,U_798)),
inference(variable_rename,[status(thm)],[f_241_1]) ).
fof(f_241_3,plain,
! [U_803,U_799,U_798,U_802,U_800,U_801] : k4_enumset1(U_803,U_802,U_801,U_800,U_799,U_798) = k2_xboole_0(k2_tarski(U_803,U_802),k2_enumset1(U_801,U_800,U_799,U_798)),
inference(definitional_conversion,[status(esa)],[f_241_2]) ).
cnf(f_241_4,plain,
k4_enumset1(U_803,U_802,U_801,U_800,U_799,U_798) = k2_xboole_0(k2_tarski(U_803,U_802),k2_enumset1(U_801,U_800,U_799,U_798)),
inference(clausify,[status(thm)],[f_241_3]) ).
fof(f_242_1,plain,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)),
inference(fof_nnf,[status(thm)],[t53_enumset1]) ).
fof(f_242_2,plain,
! [U_809,U_808,U_807,U_806,U_805,U_804] : k4_enumset1(U_809,U_808,U_807,U_806,U_805,U_804) = k2_xboole_0(k1_enumset1(U_809,U_808,U_807),k1_enumset1(U_806,U_805,U_804)),
inference(variable_rename,[status(thm)],[f_242_1]) ).
fof(f_242_3,plain,
! [U_808,U_809,U_807,U_806,U_805,U_804] : k4_enumset1(U_809,U_808,U_807,U_806,U_805,U_804) = k2_xboole_0(k1_enumset1(U_809,U_808,U_807),k1_enumset1(U_806,U_805,U_804)),
inference(definitional_conversion,[status(esa)],[f_242_2]) ).
cnf(f_242_4,plain,
k4_enumset1(U_809,U_808,U_807,U_806,U_805,U_804) = k2_xboole_0(k1_enumset1(U_809,U_808,U_807),k1_enumset1(U_806,U_805,U_804)),
inference(clausify,[status(thm)],[f_242_3]) ).
fof(f_243_1,plain,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_tarski(E,F)),
inference(fof_nnf,[status(thm)],[t54_enumset1]) ).
fof(f_243_2,plain,
! [U_815,U_814,U_813,U_812,U_811,U_810] : k4_enumset1(U_815,U_814,U_813,U_812,U_811,U_810) = k2_xboole_0(k2_enumset1(U_815,U_814,U_813,U_812),k2_tarski(U_811,U_810)),
inference(variable_rename,[status(thm)],[f_243_1]) ).
fof(f_243_3,plain,
! [U_813,U_810,U_811,U_814,U_815,U_812] : k4_enumset1(U_815,U_814,U_813,U_812,U_811,U_810) = k2_xboole_0(k2_enumset1(U_815,U_814,U_813,U_812),k2_tarski(U_811,U_810)),
inference(definitional_conversion,[status(esa)],[f_243_2]) ).
cnf(f_243_4,plain,
k4_enumset1(U_815,U_814,U_813,U_812,U_811,U_810) = k2_xboole_0(k2_enumset1(U_815,U_814,U_813,U_812),k2_tarski(U_811,U_810)),
inference(clausify,[status(thm)],[f_243_3]) ).
fof(f_244_1,plain,
! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)),
inference(fof_nnf,[status(thm)],[t55_enumset1]) ).
fof(f_244_2,plain,
! [U_821,U_820,U_819,U_818,U_817,U_816] : k4_enumset1(U_821,U_820,U_819,U_818,U_817,U_816) = k2_xboole_0(k3_enumset1(U_821,U_820,U_819,U_818,U_817),k1_tarski(U_816)),
inference(variable_rename,[status(thm)],[f_244_1]) ).
fof(f_244_3,plain,
! [U_817,U_820,U_821,U_816,U_818,U_819] : k4_enumset1(U_821,U_820,U_819,U_818,U_817,U_816) = k2_xboole_0(k3_enumset1(U_821,U_820,U_819,U_818,U_817),k1_tarski(U_816)),
inference(definitional_conversion,[status(esa)],[f_244_2]) ).
cnf(f_244_4,plain,
k4_enumset1(U_821,U_820,U_819,U_818,U_817,U_816) = k2_xboole_0(k3_enumset1(U_821,U_820,U_819,U_818,U_817),k1_tarski(U_816)),
inference(clausify,[status(thm)],[f_244_3]) ).
fof(f_245_1,plain,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_tarski(A),k4_enumset1(B,C,D,E,F,G)),
inference(fof_nnf,[status(thm)],[t56_enumset1]) ).
fof(f_245_2,plain,
! [U_828,U_827,U_826,U_825,U_824,U_823,U_822] : k5_enumset1(U_828,U_827,U_826,U_825,U_824,U_823,U_822) = k2_xboole_0(k1_tarski(U_828),k4_enumset1(U_827,U_826,U_825,U_824,U_823,U_822)),
inference(variable_rename,[status(thm)],[f_245_1]) ).
fof(f_245_3,plain,
! [U_822,U_824,U_826,U_827,U_828,U_825,U_823] : k5_enumset1(U_828,U_827,U_826,U_825,U_824,U_823,U_822) = k2_xboole_0(k1_tarski(U_828),k4_enumset1(U_827,U_826,U_825,U_824,U_823,U_822)),
inference(definitional_conversion,[status(esa)],[f_245_2]) ).
cnf(f_245_4,plain,
k5_enumset1(U_828,U_827,U_826,U_825,U_824,U_823,U_822) = k2_xboole_0(k1_tarski(U_828),k4_enumset1(U_827,U_826,U_825,U_824,U_823,U_822)),
inference(clausify,[status(thm)],[f_245_3]) ).
fof(f_246_1,plain,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_tarski(A,B),k3_enumset1(C,D,E,F,G)),
inference(fof_nnf,[status(thm)],[t57_enumset1]) ).
fof(f_246_2,plain,
! [U_835,U_834,U_833,U_832,U_831,U_830,U_829] : k5_enumset1(U_835,U_834,U_833,U_832,U_831,U_830,U_829) = k2_xboole_0(k2_tarski(U_835,U_834),k3_enumset1(U_833,U_832,U_831,U_830,U_829)),
inference(variable_rename,[status(thm)],[f_246_1]) ).
fof(f_246_3,plain,
! [U_830,U_831,U_835,U_833,U_834,U_829,U_832] : k5_enumset1(U_835,U_834,U_833,U_832,U_831,U_830,U_829) = k2_xboole_0(k2_tarski(U_835,U_834),k3_enumset1(U_833,U_832,U_831,U_830,U_829)),
inference(definitional_conversion,[status(esa)],[f_246_2]) ).
cnf(f_246_4,plain,
k5_enumset1(U_835,U_834,U_833,U_832,U_831,U_830,U_829) = k2_xboole_0(k2_tarski(U_835,U_834),k3_enumset1(U_833,U_832,U_831,U_830,U_829)),
inference(clausify,[status(thm)],[f_246_3]) ).
fof(f_247_1,plain,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G)),
inference(fof_nnf,[status(thm)],[t58_enumset1]) ).
fof(f_247_2,plain,
! [U_842,U_841,U_840,U_839,U_838,U_837,U_836] : k5_enumset1(U_842,U_841,U_840,U_839,U_838,U_837,U_836) = k2_xboole_0(k1_enumset1(U_842,U_841,U_840),k2_enumset1(U_839,U_838,U_837,U_836)),
inference(variable_rename,[status(thm)],[f_247_1]) ).
fof(f_247_3,plain,
! [U_839,U_840,U_836,U_842,U_837,U_838,U_841] : k5_enumset1(U_842,U_841,U_840,U_839,U_838,U_837,U_836) = k2_xboole_0(k1_enumset1(U_842,U_841,U_840),k2_enumset1(U_839,U_838,U_837,U_836)),
inference(definitional_conversion,[status(esa)],[f_247_2]) ).
cnf(f_247_4,plain,
k5_enumset1(U_842,U_841,U_840,U_839,U_838,U_837,U_836) = k2_xboole_0(k1_enumset1(U_842,U_841,U_840),k2_enumset1(U_839,U_838,U_837,U_836)),
inference(clausify,[status(thm)],[f_247_3]) ).
fof(f_248_1,plain,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)),
inference(fof_nnf,[status(thm)],[t59_enumset1]) ).
fof(f_248_2,plain,
! [U_849,U_848,U_847,U_846,U_845,U_844,U_843] : k5_enumset1(U_849,U_848,U_847,U_846,U_845,U_844,U_843) = k2_xboole_0(k2_enumset1(U_849,U_848,U_847,U_846),k1_enumset1(U_845,U_844,U_843)),
inference(variable_rename,[status(thm)],[f_248_1]) ).
fof(f_248_3,plain,
! [U_849,U_843,U_846,U_845,U_844,U_847,U_848] : k5_enumset1(U_849,U_848,U_847,U_846,U_845,U_844,U_843) = k2_xboole_0(k2_enumset1(U_849,U_848,U_847,U_846),k1_enumset1(U_845,U_844,U_843)),
inference(definitional_conversion,[status(esa)],[f_248_2]) ).
cnf(f_248_4,plain,
k5_enumset1(U_849,U_848,U_847,U_846,U_845,U_844,U_843) = k2_xboole_0(k2_enumset1(U_849,U_848,U_847,U_846),k1_enumset1(U_845,U_844,U_843)),
inference(clausify,[status(thm)],[f_248_3]) ).
fof(f_249_1,plain,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k2_tarski(F,G)),
inference(fof_nnf,[status(thm)],[t60_enumset1]) ).
fof(f_249_2,plain,
! [U_856,U_855,U_854,U_853,U_852,U_851,U_850] : k5_enumset1(U_856,U_855,U_854,U_853,U_852,U_851,U_850) = k2_xboole_0(k3_enumset1(U_856,U_855,U_854,U_853,U_852),k2_tarski(U_851,U_850)),
inference(variable_rename,[status(thm)],[f_249_1]) ).
fof(f_249_3,plain,
! [U_855,U_853,U_854,U_856,U_850,U_852,U_851] : k5_enumset1(U_856,U_855,U_854,U_853,U_852,U_851,U_850) = k2_xboole_0(k3_enumset1(U_856,U_855,U_854,U_853,U_852),k2_tarski(U_851,U_850)),
inference(definitional_conversion,[status(esa)],[f_249_2]) ).
cnf(f_249_4,plain,
k5_enumset1(U_856,U_855,U_854,U_853,U_852,U_851,U_850) = k2_xboole_0(k3_enumset1(U_856,U_855,U_854,U_853,U_852),k2_tarski(U_851,U_850)),
inference(clausify,[status(thm)],[f_249_3]) ).
fof(f_250_1,plain,
! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k1_tarski(G)),
inference(fof_nnf,[status(thm)],[t61_enumset1]) ).
fof(f_250_2,plain,
! [U_863,U_862,U_861,U_860,U_859,U_858,U_857] : k5_enumset1(U_863,U_862,U_861,U_860,U_859,U_858,U_857) = k2_xboole_0(k4_enumset1(U_863,U_862,U_861,U_860,U_859,U_858),k1_tarski(U_857)),
inference(variable_rename,[status(thm)],[f_250_1]) ).
fof(f_250_3,plain,
! [U_860,U_861,U_862,U_859,U_857,U_858,U_863] : k5_enumset1(U_863,U_862,U_861,U_860,U_859,U_858,U_857) = k2_xboole_0(k4_enumset1(U_863,U_862,U_861,U_860,U_859,U_858),k1_tarski(U_857)),
inference(definitional_conversion,[status(esa)],[f_250_2]) ).
cnf(f_250_4,plain,
k5_enumset1(U_863,U_862,U_861,U_860,U_859,U_858,U_857) = k2_xboole_0(k4_enumset1(U_863,U_862,U_861,U_860,U_859,U_858),k1_tarski(U_857)),
inference(clausify,[status(thm)],[f_250_3]) ).
fof(f_251_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_tarski(A),k5_enumset1(B,C,D,E,F,G,H)),
inference(fof_nnf,[status(thm)],[t62_enumset1]) ).
fof(f_251_2,plain,
! [U_871,U_870,U_869,U_868,U_867,U_866,U_865,U_864] : k6_enumset1(U_871,U_870,U_869,U_868,U_867,U_866,U_865,U_864) = k2_xboole_0(k1_tarski(U_871),k5_enumset1(U_870,U_869,U_868,U_867,U_866,U_865,U_864)),
inference(variable_rename,[status(thm)],[f_251_1]) ).
fof(f_251_3,plain,
! [U_867,U_868,U_869,U_864,U_866,U_865,U_870,U_871] : k6_enumset1(U_871,U_870,U_869,U_868,U_867,U_866,U_865,U_864) = k2_xboole_0(k1_tarski(U_871),k5_enumset1(U_870,U_869,U_868,U_867,U_866,U_865,U_864)),
inference(definitional_conversion,[status(esa)],[f_251_2]) ).
cnf(f_251_4,plain,
k6_enumset1(U_871,U_870,U_869,U_868,U_867,U_866,U_865,U_864) = k2_xboole_0(k1_tarski(U_871),k5_enumset1(U_870,U_869,U_868,U_867,U_866,U_865,U_864)),
inference(clausify,[status(thm)],[f_251_3]) ).
fof(f_252_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_tarski(A,B),k4_enumset1(C,D,E,F,G,H)),
inference(fof_nnf,[status(thm)],[t63_enumset1]) ).
fof(f_252_2,plain,
! [U_879,U_878,U_877,U_876,U_875,U_874,U_873,U_872] : k6_enumset1(U_879,U_878,U_877,U_876,U_875,U_874,U_873,U_872) = k2_xboole_0(k2_tarski(U_879,U_878),k4_enumset1(U_877,U_876,U_875,U_874,U_873,U_872)),
inference(variable_rename,[status(thm)],[f_252_1]) ).
fof(f_252_3,plain,
! [U_879,U_877,U_878,U_876,U_874,U_873,U_875,U_872] : k6_enumset1(U_879,U_878,U_877,U_876,U_875,U_874,U_873,U_872) = k2_xboole_0(k2_tarski(U_879,U_878),k4_enumset1(U_877,U_876,U_875,U_874,U_873,U_872)),
inference(definitional_conversion,[status(esa)],[f_252_2]) ).
cnf(f_252_4,plain,
k6_enumset1(U_879,U_878,U_877,U_876,U_875,U_874,U_873,U_872) = k2_xboole_0(k2_tarski(U_879,U_878),k4_enumset1(U_877,U_876,U_875,U_874,U_873,U_872)),
inference(clausify,[status(thm)],[f_252_3]) ).
fof(f_253_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H)),
inference(fof_nnf,[status(thm)],[t64_enumset1]) ).
fof(f_253_2,plain,
! [U_887,U_886,U_885,U_884,U_883,U_882,U_881,U_880] : k6_enumset1(U_887,U_886,U_885,U_884,U_883,U_882,U_881,U_880) = k2_xboole_0(k1_enumset1(U_887,U_886,U_885),k3_enumset1(U_884,U_883,U_882,U_881,U_880)),
inference(variable_rename,[status(thm)],[f_253_1]) ).
fof(f_253_3,plain,
! [U_885,U_880,U_881,U_886,U_887,U_882,U_883,U_884] : k6_enumset1(U_887,U_886,U_885,U_884,U_883,U_882,U_881,U_880) = k2_xboole_0(k1_enumset1(U_887,U_886,U_885),k3_enumset1(U_884,U_883,U_882,U_881,U_880)),
inference(definitional_conversion,[status(esa)],[f_253_2]) ).
cnf(f_253_4,plain,
k6_enumset1(U_887,U_886,U_885,U_884,U_883,U_882,U_881,U_880) = k2_xboole_0(k1_enumset1(U_887,U_886,U_885),k3_enumset1(U_884,U_883,U_882,U_881,U_880)),
inference(clausify,[status(thm)],[f_253_3]) ).
fof(f_254_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_enumset1(E,F,G,H)),
inference(fof_nnf,[status(thm)],[t65_enumset1]) ).
fof(f_254_2,plain,
! [U_895,U_894,U_893,U_892,U_891,U_890,U_889,U_888] : k6_enumset1(U_895,U_894,U_893,U_892,U_891,U_890,U_889,U_888) = k2_xboole_0(k2_enumset1(U_895,U_894,U_893,U_892),k2_enumset1(U_891,U_890,U_889,U_888)),
inference(variable_rename,[status(thm)],[f_254_1]) ).
fof(f_254_3,plain,
! [U_890,U_889,U_895,U_891,U_892,U_893,U_888,U_894] : k6_enumset1(U_895,U_894,U_893,U_892,U_891,U_890,U_889,U_888) = k2_xboole_0(k2_enumset1(U_895,U_894,U_893,U_892),k2_enumset1(U_891,U_890,U_889,U_888)),
inference(definitional_conversion,[status(esa)],[f_254_2]) ).
cnf(f_254_4,plain,
k6_enumset1(U_895,U_894,U_893,U_892,U_891,U_890,U_889,U_888) = k2_xboole_0(k2_enumset1(U_895,U_894,U_893,U_892),k2_enumset1(U_891,U_890,U_889,U_888)),
inference(clausify,[status(thm)],[f_254_3]) ).
fof(f_255_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_enumset1(F,G,H)),
inference(fof_nnf,[status(thm)],[t66_enumset1]) ).
fof(f_255_2,plain,
! [U_903,U_902,U_901,U_900,U_899,U_898,U_897,U_896] : k6_enumset1(U_903,U_902,U_901,U_900,U_899,U_898,U_897,U_896) = k2_xboole_0(k3_enumset1(U_903,U_902,U_901,U_900,U_899),k1_enumset1(U_898,U_897,U_896)),
inference(variable_rename,[status(thm)],[f_255_1]) ).
fof(f_255_3,plain,
! [U_896,U_901,U_902,U_898,U_897,U_900,U_903,U_899] : k6_enumset1(U_903,U_902,U_901,U_900,U_899,U_898,U_897,U_896) = k2_xboole_0(k3_enumset1(U_903,U_902,U_901,U_900,U_899),k1_enumset1(U_898,U_897,U_896)),
inference(definitional_conversion,[status(esa)],[f_255_2]) ).
cnf(f_255_4,plain,
k6_enumset1(U_903,U_902,U_901,U_900,U_899,U_898,U_897,U_896) = k2_xboole_0(k3_enumset1(U_903,U_902,U_901,U_900,U_899),k1_enumset1(U_898,U_897,U_896)),
inference(clausify,[status(thm)],[f_255_3]) ).
fof(f_256_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k2_tarski(G,H)),
inference(fof_nnf,[status(thm)],[t67_enumset1]) ).
fof(f_256_2,plain,
! [U_911,U_910,U_909,U_908,U_907,U_906,U_905,U_904] : k6_enumset1(U_911,U_910,U_909,U_908,U_907,U_906,U_905,U_904) = k2_xboole_0(k4_enumset1(U_911,U_910,U_909,U_908,U_907,U_906),k2_tarski(U_905,U_904)),
inference(variable_rename,[status(thm)],[f_256_1]) ).
fof(f_256_3,plain,
! [U_911,U_907,U_904,U_906,U_905,U_908,U_909,U_910] : k6_enumset1(U_911,U_910,U_909,U_908,U_907,U_906,U_905,U_904) = k2_xboole_0(k4_enumset1(U_911,U_910,U_909,U_908,U_907,U_906),k2_tarski(U_905,U_904)),
inference(definitional_conversion,[status(esa)],[f_256_2]) ).
cnf(f_256_4,plain,
k6_enumset1(U_911,U_910,U_909,U_908,U_907,U_906,U_905,U_904) = k2_xboole_0(k4_enumset1(U_911,U_910,U_909,U_908,U_907,U_906),k2_tarski(U_905,U_904)),
inference(clausify,[status(thm)],[f_256_3]) ).
fof(f_257_1,plain,
! [A,B,C,D,E,F,G,H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k5_enumset1(A,B,C,D,E,F,G),k1_tarski(H)),
inference(fof_nnf,[status(thm)],[t68_enumset1]) ).
fof(f_257_2,plain,
! [U_919,U_918,U_917,U_916,U_915,U_914,U_913,U_912] : k6_enumset1(U_919,U_918,U_917,U_916,U_915,U_914,U_913,U_912) = k2_xboole_0(k5_enumset1(U_919,U_918,U_917,U_916,U_915,U_914,U_913),k1_tarski(U_912)),
inference(variable_rename,[status(thm)],[f_257_1]) ).
fof(f_257_3,plain,
! [U_912,U_915,U_914,U_913,U_918,U_919,U_917,U_916] : k6_enumset1(U_919,U_918,U_917,U_916,U_915,U_914,U_913,U_912) = k2_xboole_0(k5_enumset1(U_919,U_918,U_917,U_916,U_915,U_914,U_913),k1_tarski(U_912)),
inference(definitional_conversion,[status(esa)],[f_257_2]) ).
cnf(f_257_4,plain,
k6_enumset1(U_919,U_918,U_917,U_916,U_915,U_914,U_913,U_912) = k2_xboole_0(k5_enumset1(U_919,U_918,U_917,U_916,U_915,U_914,U_913),k1_tarski(U_912)),
inference(clausify,[status(thm)],[f_257_3]) ).
fof(f_258_1,plain,
! [A] : k2_tarski(A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t69_enumset1]) ).
fof(f_258_2,plain,
! [U_920] : k2_tarski(U_920,U_920) = k1_tarski(U_920),
inference(variable_rename,[status(thm)],[f_258_1]) ).
fof(f_258_3,plain,
! [U_920] : k2_tarski(U_920,U_920) = k1_tarski(U_920),
inference(definitional_conversion,[status(esa)],[f_258_2]) ).
cnf(f_258_4,plain,
k2_tarski(U_920,U_920) = k1_tarski(U_920),
inference(clausify,[status(thm)],[f_258_3]) ).
fof(f_259_1,plain,
! [A,B] : k1_enumset1(A,A,B) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t70_enumset1]) ).
fof(f_259_2,plain,
! [U_922,U_921] : k1_enumset1(U_922,U_922,U_921) = k2_tarski(U_922,U_921),
inference(variable_rename,[status(thm)],[f_259_1]) ).
fof(f_259_3,plain,
! [U_921,U_922] : k1_enumset1(U_922,U_922,U_921) = k2_tarski(U_922,U_921),
inference(definitional_conversion,[status(esa)],[f_259_2]) ).
cnf(f_259_4,plain,
k1_enumset1(U_922,U_922,U_921) = k2_tarski(U_922,U_921),
inference(clausify,[status(thm)],[f_259_3]) ).
fof(f_260_1,plain,
! [A,B,C] : k2_enumset1(A,A,B,C) = k1_enumset1(A,B,C),
inference(fof_nnf,[status(thm)],[t71_enumset1]) ).
fof(f_260_2,plain,
! [U_925,U_924,U_923] : k2_enumset1(U_925,U_925,U_924,U_923) = k1_enumset1(U_925,U_924,U_923),
inference(variable_rename,[status(thm)],[f_260_1]) ).
fof(f_260_3,plain,
! [U_925,U_924,U_923] : k2_enumset1(U_925,U_925,U_924,U_923) = k1_enumset1(U_925,U_924,U_923),
inference(definitional_conversion,[status(esa)],[f_260_2]) ).
cnf(f_260_4,plain,
k2_enumset1(U_925,U_925,U_924,U_923) = k1_enumset1(U_925,U_924,U_923),
inference(clausify,[status(thm)],[f_260_3]) ).
fof(f_261_1,plain,
! [A,B,C,D] : k3_enumset1(A,A,B,C,D) = k2_enumset1(A,B,C,D),
inference(fof_nnf,[status(thm)],[t72_enumset1]) ).
fof(f_261_2,plain,
! [U_929,U_928,U_927,U_926] : k3_enumset1(U_929,U_929,U_928,U_927,U_926) = k2_enumset1(U_929,U_928,U_927,U_926),
inference(variable_rename,[status(thm)],[f_261_1]) ).
fof(f_261_3,plain,
! [U_929,U_927,U_926,U_928] : k3_enumset1(U_929,U_929,U_928,U_927,U_926) = k2_enumset1(U_929,U_928,U_927,U_926),
inference(definitional_conversion,[status(esa)],[f_261_2]) ).
cnf(f_261_4,plain,
k3_enumset1(U_929,U_929,U_928,U_927,U_926) = k2_enumset1(U_929,U_928,U_927,U_926),
inference(clausify,[status(thm)],[f_261_3]) ).
fof(f_262_1,plain,
! [A,B,C,D,E] : k4_enumset1(A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E),
inference(fof_nnf,[status(thm)],[t73_enumset1]) ).
fof(f_262_2,plain,
! [U_934,U_933,U_932,U_931,U_930] : k4_enumset1(U_934,U_934,U_933,U_932,U_931,U_930) = k3_enumset1(U_934,U_933,U_932,U_931,U_930),
inference(variable_rename,[status(thm)],[f_262_1]) ).
fof(f_262_3,plain,
! [U_930,U_931,U_932,U_933,U_934] : k4_enumset1(U_934,U_934,U_933,U_932,U_931,U_930) = k3_enumset1(U_934,U_933,U_932,U_931,U_930),
inference(definitional_conversion,[status(esa)],[f_262_2]) ).
cnf(f_262_4,plain,
k4_enumset1(U_934,U_934,U_933,U_932,U_931,U_930) = k3_enumset1(U_934,U_933,U_932,U_931,U_930),
inference(clausify,[status(thm)],[f_262_3]) ).
fof(f_263_1,plain,
! [A,B,C,D,E,F] : k5_enumset1(A,A,B,C,D,E,F) = k4_enumset1(A,B,C,D,E,F),
inference(fof_nnf,[status(thm)],[t74_enumset1]) ).
fof(f_263_2,plain,
! [U_940,U_939,U_938,U_937,U_936,U_935] : k5_enumset1(U_940,U_940,U_939,U_938,U_937,U_936,U_935) = k4_enumset1(U_940,U_939,U_938,U_937,U_936,U_935),
inference(variable_rename,[status(thm)],[f_263_1]) ).
fof(f_263_3,plain,
! [U_940,U_938,U_939,U_936,U_935,U_937] : k5_enumset1(U_940,U_940,U_939,U_938,U_937,U_936,U_935) = k4_enumset1(U_940,U_939,U_938,U_937,U_936,U_935),
inference(definitional_conversion,[status(esa)],[f_263_2]) ).
cnf(f_263_4,plain,
k5_enumset1(U_940,U_940,U_939,U_938,U_937,U_936,U_935) = k4_enumset1(U_940,U_939,U_938,U_937,U_936,U_935),
inference(clausify,[status(thm)],[f_263_3]) ).
fof(f_264_1,plain,
! [A,B,C,D,E,F,G] : k6_enumset1(A,A,B,C,D,E,F,G) = k5_enumset1(A,B,C,D,E,F,G),
inference(fof_nnf,[status(thm)],[t75_enumset1]) ).
fof(f_264_2,plain,
! [U_947,U_946,U_945,U_944,U_943,U_942,U_941] : k6_enumset1(U_947,U_947,U_946,U_945,U_944,U_943,U_942,U_941) = k5_enumset1(U_947,U_946,U_945,U_944,U_943,U_942,U_941),
inference(variable_rename,[status(thm)],[f_264_1]) ).
fof(f_264_3,plain,
! [U_946,U_947,U_941,U_943,U_942,U_944,U_945] : k6_enumset1(U_947,U_947,U_946,U_945,U_944,U_943,U_942,U_941) = k5_enumset1(U_947,U_946,U_945,U_944,U_943,U_942,U_941),
inference(definitional_conversion,[status(esa)],[f_264_2]) ).
cnf(f_264_4,plain,
k6_enumset1(U_947,U_947,U_946,U_945,U_944,U_943,U_942,U_941) = k5_enumset1(U_947,U_946,U_945,U_944,U_943,U_942,U_941),
inference(clausify,[status(thm)],[f_264_3]) ).
fof(f_265_1,plain,
! [A] : k1_enumset1(A,A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t76_enumset1]) ).
fof(f_265_2,plain,
! [U_948] : k1_enumset1(U_948,U_948,U_948) = k1_tarski(U_948),
inference(variable_rename,[status(thm)],[f_265_1]) ).
fof(f_265_3,plain,
! [U_948] : k1_enumset1(U_948,U_948,U_948) = k1_tarski(U_948),
inference(definitional_conversion,[status(esa)],[f_265_2]) ).
cnf(f_265_4,plain,
k1_enumset1(U_948,U_948,U_948) = k1_tarski(U_948),
inference(clausify,[status(thm)],[f_265_3]) ).
fof(f_266_1,plain,
! [A,B] : k2_enumset1(A,A,A,B) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t77_enumset1]) ).
fof(f_266_2,plain,
! [U_950,U_949] : k2_enumset1(U_950,U_950,U_950,U_949) = k2_tarski(U_950,U_949),
inference(variable_rename,[status(thm)],[f_266_1]) ).
fof(f_266_3,plain,
! [U_950,U_949] : k2_enumset1(U_950,U_950,U_950,U_949) = k2_tarski(U_950,U_949),
inference(definitional_conversion,[status(esa)],[f_266_2]) ).
cnf(f_266_4,plain,
k2_enumset1(U_950,U_950,U_950,U_949) = k2_tarski(U_950,U_949),
inference(clausify,[status(thm)],[f_266_3]) ).
fof(f_267_1,plain,
! [A,B,C] : k3_enumset1(A,A,A,B,C) = k1_enumset1(A,B,C),
inference(fof_nnf,[status(thm)],[t78_enumset1]) ).
fof(f_267_2,plain,
! [U_953,U_952,U_951] : k3_enumset1(U_953,U_953,U_953,U_952,U_951) = k1_enumset1(U_953,U_952,U_951),
inference(variable_rename,[status(thm)],[f_267_1]) ).
fof(f_267_3,plain,
! [U_952,U_951,U_953] : k3_enumset1(U_953,U_953,U_953,U_952,U_951) = k1_enumset1(U_953,U_952,U_951),
inference(definitional_conversion,[status(esa)],[f_267_2]) ).
cnf(f_267_4,plain,
k3_enumset1(U_953,U_953,U_953,U_952,U_951) = k1_enumset1(U_953,U_952,U_951),
inference(clausify,[status(thm)],[f_267_3]) ).
fof(f_268_1,plain,
! [A,B,C,D] : k4_enumset1(A,A,A,B,C,D) = k2_enumset1(A,B,C,D),
inference(fof_nnf,[status(thm)],[t79_enumset1]) ).
fof(f_268_2,plain,
! [U_957,U_956,U_955,U_954] : k4_enumset1(U_957,U_957,U_957,U_956,U_955,U_954) = k2_enumset1(U_957,U_956,U_955,U_954),
inference(variable_rename,[status(thm)],[f_268_1]) ).
fof(f_268_3,plain,
! [U_954,U_955,U_956,U_957] : k4_enumset1(U_957,U_957,U_957,U_956,U_955,U_954) = k2_enumset1(U_957,U_956,U_955,U_954),
inference(definitional_conversion,[status(esa)],[f_268_2]) ).
cnf(f_268_4,plain,
k4_enumset1(U_957,U_957,U_957,U_956,U_955,U_954) = k2_enumset1(U_957,U_956,U_955,U_954),
inference(clausify,[status(thm)],[f_268_3]) ).
fof(f_269_1,plain,
! [A,B,C,D,E] : k5_enumset1(A,A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E),
inference(fof_nnf,[status(thm)],[t80_enumset1]) ).
fof(f_269_2,plain,
! [U_962,U_961,U_960,U_959,U_958] : k5_enumset1(U_962,U_962,U_962,U_961,U_960,U_959,U_958) = k3_enumset1(U_962,U_961,U_960,U_959,U_958),
inference(variable_rename,[status(thm)],[f_269_1]) ).
fof(f_269_3,plain,
! [U_961,U_962,U_959,U_958,U_960] : k5_enumset1(U_962,U_962,U_962,U_961,U_960,U_959,U_958) = k3_enumset1(U_962,U_961,U_960,U_959,U_958),
inference(definitional_conversion,[status(esa)],[f_269_2]) ).
cnf(f_269_4,plain,
k5_enumset1(U_962,U_962,U_962,U_961,U_960,U_959,U_958) = k3_enumset1(U_962,U_961,U_960,U_959,U_958),
inference(clausify,[status(thm)],[f_269_3]) ).
fof(f_270_1,plain,
! [A,B,C,D,E,F] : k6_enumset1(A,A,A,B,C,D,E,F) = k4_enumset1(A,B,C,D,E,F),
inference(fof_nnf,[status(thm)],[t81_enumset1]) ).
fof(f_270_2,plain,
! [U_968,U_967,U_966,U_965,U_964,U_963] : k6_enumset1(U_968,U_968,U_968,U_967,U_966,U_965,U_964,U_963) = k4_enumset1(U_968,U_967,U_966,U_965,U_964,U_963),
inference(variable_rename,[status(thm)],[f_270_1]) ).
fof(f_270_3,plain,
! [U_965,U_967,U_968,U_963,U_964,U_966] : k6_enumset1(U_968,U_968,U_968,U_967,U_966,U_965,U_964,U_963) = k4_enumset1(U_968,U_967,U_966,U_965,U_964,U_963),
inference(definitional_conversion,[status(esa)],[f_270_2]) ).
cnf(f_270_4,plain,
k6_enumset1(U_968,U_968,U_968,U_967,U_966,U_965,U_964,U_963) = k4_enumset1(U_968,U_967,U_966,U_965,U_964,U_963),
inference(clausify,[status(thm)],[f_270_3]) ).
fof(f_271_1,plain,
! [A] : k2_enumset1(A,A,A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t82_enumset1]) ).
fof(f_271_2,plain,
! [U_969] : k2_enumset1(U_969,U_969,U_969,U_969) = k1_tarski(U_969),
inference(variable_rename,[status(thm)],[f_271_1]) ).
fof(f_271_3,plain,
! [U_969] : k2_enumset1(U_969,U_969,U_969,U_969) = k1_tarski(U_969),
inference(definitional_conversion,[status(esa)],[f_271_2]) ).
cnf(f_271_4,plain,
k2_enumset1(U_969,U_969,U_969,U_969) = k1_tarski(U_969),
inference(clausify,[status(thm)],[f_271_3]) ).
fof(f_272_1,plain,
! [A,B] : k3_enumset1(A,A,A,A,B) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t83_enumset1]) ).
fof(f_272_2,plain,
! [U_971,U_970] : k3_enumset1(U_971,U_971,U_971,U_971,U_970) = k2_tarski(U_971,U_970),
inference(variable_rename,[status(thm)],[f_272_1]) ).
fof(f_272_3,plain,
! [U_970,U_971] : k3_enumset1(U_971,U_971,U_971,U_971,U_970) = k2_tarski(U_971,U_970),
inference(definitional_conversion,[status(esa)],[f_272_2]) ).
cnf(f_272_4,plain,
k3_enumset1(U_971,U_971,U_971,U_971,U_970) = k2_tarski(U_971,U_970),
inference(clausify,[status(thm)],[f_272_3]) ).
fof(f_273_1,plain,
! [A,B,C] : k4_enumset1(A,A,A,A,B,C) = k1_enumset1(A,B,C),
inference(fof_nnf,[status(thm)],[t84_enumset1]) ).
fof(f_273_2,plain,
! [U_974,U_973,U_972] : k4_enumset1(U_974,U_974,U_974,U_974,U_973,U_972) = k1_enumset1(U_974,U_973,U_972),
inference(variable_rename,[status(thm)],[f_273_1]) ).
fof(f_273_3,plain,
! [U_973,U_974,U_972] : k4_enumset1(U_974,U_974,U_974,U_974,U_973,U_972) = k1_enumset1(U_974,U_973,U_972),
inference(definitional_conversion,[status(esa)],[f_273_2]) ).
cnf(f_273_4,plain,
k4_enumset1(U_974,U_974,U_974,U_974,U_973,U_972) = k1_enumset1(U_974,U_973,U_972),
inference(clausify,[status(thm)],[f_273_3]) ).
fof(f_274_1,plain,
! [A,B,C,D] : k5_enumset1(A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D),
inference(fof_nnf,[status(thm)],[t85_enumset1]) ).
fof(f_274_2,plain,
! [U_978,U_977,U_976,U_975] : k5_enumset1(U_978,U_978,U_978,U_978,U_977,U_976,U_975) = k2_enumset1(U_978,U_977,U_976,U_975),
inference(variable_rename,[status(thm)],[f_274_1]) ).
fof(f_274_3,plain,
! [U_977,U_978,U_975,U_976] : k5_enumset1(U_978,U_978,U_978,U_978,U_977,U_976,U_975) = k2_enumset1(U_978,U_977,U_976,U_975),
inference(definitional_conversion,[status(esa)],[f_274_2]) ).
cnf(f_274_4,plain,
k5_enumset1(U_978,U_978,U_978,U_978,U_977,U_976,U_975) = k2_enumset1(U_978,U_977,U_976,U_975),
inference(clausify,[status(thm)],[f_274_3]) ).
fof(f_275_1,plain,
! [A,B,C,D,E] : k6_enumset1(A,A,A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E),
inference(fof_nnf,[status(thm)],[t86_enumset1]) ).
fof(f_275_2,plain,
! [U_983,U_982,U_981,U_980,U_979] : k6_enumset1(U_983,U_983,U_983,U_983,U_982,U_981,U_980,U_979) = k3_enumset1(U_983,U_982,U_981,U_980,U_979),
inference(variable_rename,[status(thm)],[f_275_1]) ).
fof(f_275_3,plain,
! [U_980,U_979,U_981,U_982,U_983] : k6_enumset1(U_983,U_983,U_983,U_983,U_982,U_981,U_980,U_979) = k3_enumset1(U_983,U_982,U_981,U_980,U_979),
inference(definitional_conversion,[status(esa)],[f_275_2]) ).
cnf(f_275_4,plain,
k6_enumset1(U_983,U_983,U_983,U_983,U_982,U_981,U_980,U_979) = k3_enumset1(U_983,U_982,U_981,U_980,U_979),
inference(clausify,[status(thm)],[f_275_3]) ).
fof(f_276_1,plain,
! [A] : k3_enumset1(A,A,A,A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t87_enumset1]) ).
fof(f_276_2,plain,
! [U_984] : k3_enumset1(U_984,U_984,U_984,U_984,U_984) = k1_tarski(U_984),
inference(variable_rename,[status(thm)],[f_276_1]) ).
fof(f_276_3,plain,
! [U_984] : k3_enumset1(U_984,U_984,U_984,U_984,U_984) = k1_tarski(U_984),
inference(definitional_conversion,[status(esa)],[f_276_2]) ).
cnf(f_276_4,plain,
k3_enumset1(U_984,U_984,U_984,U_984,U_984) = k1_tarski(U_984),
inference(clausify,[status(thm)],[f_276_3]) ).
fof(f_277_1,plain,
! [A,B] : k4_enumset1(A,A,A,A,A,B) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t88_enumset1]) ).
fof(f_277_2,plain,
! [U_986,U_985] : k4_enumset1(U_986,U_986,U_986,U_986,U_986,U_985) = k2_tarski(U_986,U_985),
inference(variable_rename,[status(thm)],[f_277_1]) ).
fof(f_277_3,plain,
! [U_985,U_986] : k4_enumset1(U_986,U_986,U_986,U_986,U_986,U_985) = k2_tarski(U_986,U_985),
inference(definitional_conversion,[status(esa)],[f_277_2]) ).
cnf(f_277_4,plain,
k4_enumset1(U_986,U_986,U_986,U_986,U_986,U_985) = k2_tarski(U_986,U_985),
inference(clausify,[status(thm)],[f_277_3]) ).
fof(f_278_1,plain,
! [A,B,C] : k5_enumset1(A,A,A,A,A,B,C) = k1_enumset1(A,B,C),
inference(fof_nnf,[status(thm)],[t89_enumset1]) ).
fof(f_278_2,plain,
! [U_989,U_988,U_987] : k5_enumset1(U_989,U_989,U_989,U_989,U_989,U_988,U_987) = k1_enumset1(U_989,U_988,U_987),
inference(variable_rename,[status(thm)],[f_278_1]) ).
fof(f_278_3,plain,
! [U_988,U_989,U_987] : k5_enumset1(U_989,U_989,U_989,U_989,U_989,U_988,U_987) = k1_enumset1(U_989,U_988,U_987),
inference(definitional_conversion,[status(esa)],[f_278_2]) ).
cnf(f_278_4,plain,
k5_enumset1(U_989,U_989,U_989,U_989,U_989,U_988,U_987) = k1_enumset1(U_989,U_988,U_987),
inference(clausify,[status(thm)],[f_278_3]) ).
fof(f_279_1,plain,
! [A,B,C,D] : k6_enumset1(A,A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D),
inference(fof_nnf,[status(thm)],[t90_enumset1]) ).
fof(f_279_2,plain,
! [U_993,U_992,U_991,U_990] : k6_enumset1(U_993,U_993,U_993,U_993,U_993,U_992,U_991,U_990) = k2_enumset1(U_993,U_992,U_991,U_990),
inference(variable_rename,[status(thm)],[f_279_1]) ).
fof(f_279_3,plain,
! [U_991,U_992,U_993,U_990] : k6_enumset1(U_993,U_993,U_993,U_993,U_993,U_992,U_991,U_990) = k2_enumset1(U_993,U_992,U_991,U_990),
inference(definitional_conversion,[status(esa)],[f_279_2]) ).
cnf(f_279_4,plain,
k6_enumset1(U_993,U_993,U_993,U_993,U_993,U_992,U_991,U_990) = k2_enumset1(U_993,U_992,U_991,U_990),
inference(clausify,[status(thm)],[f_279_3]) ).
fof(f_280_1,plain,
! [A] : k4_enumset1(A,A,A,A,A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t91_enumset1]) ).
fof(f_280_2,plain,
! [U_994] : k4_enumset1(U_994,U_994,U_994,U_994,U_994,U_994) = k1_tarski(U_994),
inference(variable_rename,[status(thm)],[f_280_1]) ).
fof(f_280_3,plain,
! [U_994] : k4_enumset1(U_994,U_994,U_994,U_994,U_994,U_994) = k1_tarski(U_994),
inference(definitional_conversion,[status(esa)],[f_280_2]) ).
cnf(f_280_4,plain,
k4_enumset1(U_994,U_994,U_994,U_994,U_994,U_994) = k1_tarski(U_994),
inference(clausify,[status(thm)],[f_280_3]) ).
fof(f_281_1,plain,
! [A,B] : k5_enumset1(A,A,A,A,A,A,B) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t92_enumset1]) ).
fof(f_281_2,plain,
! [U_996,U_995] : k5_enumset1(U_996,U_996,U_996,U_996,U_996,U_996,U_995) = k2_tarski(U_996,U_995),
inference(variable_rename,[status(thm)],[f_281_1]) ).
fof(f_281_3,plain,
! [U_996,U_995] : k5_enumset1(U_996,U_996,U_996,U_996,U_996,U_996,U_995) = k2_tarski(U_996,U_995),
inference(definitional_conversion,[status(esa)],[f_281_2]) ).
cnf(f_281_4,plain,
k5_enumset1(U_996,U_996,U_996,U_996,U_996,U_996,U_995) = k2_tarski(U_996,U_995),
inference(clausify,[status(thm)],[f_281_3]) ).
fof(f_282_1,plain,
! [A,B,C] : k6_enumset1(A,A,A,A,A,A,B,C) = k1_enumset1(A,B,C),
inference(fof_nnf,[status(thm)],[t93_enumset1]) ).
fof(f_282_2,plain,
! [U_999,U_998,U_997] : k6_enumset1(U_999,U_999,U_999,U_999,U_999,U_999,U_998,U_997) = k1_enumset1(U_999,U_998,U_997),
inference(variable_rename,[status(thm)],[f_282_1]) ).
fof(f_282_3,plain,
! [U_997,U_998,U_999] : k6_enumset1(U_999,U_999,U_999,U_999,U_999,U_999,U_998,U_997) = k1_enumset1(U_999,U_998,U_997),
inference(definitional_conversion,[status(esa)],[f_282_2]) ).
cnf(f_282_4,plain,
k6_enumset1(U_999,U_999,U_999,U_999,U_999,U_999,U_998,U_997) = k1_enumset1(U_999,U_998,U_997),
inference(clausify,[status(thm)],[f_282_3]) ).
fof(f_283_1,plain,
! [A] : k5_enumset1(A,A,A,A,A,A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t94_enumset1]) ).
fof(f_283_2,plain,
! [U_1000] : k5_enumset1(U_1000,U_1000,U_1000,U_1000,U_1000,U_1000,U_1000) = k1_tarski(U_1000),
inference(variable_rename,[status(thm)],[f_283_1]) ).
fof(f_283_3,plain,
! [U_1000] : k5_enumset1(U_1000,U_1000,U_1000,U_1000,U_1000,U_1000,U_1000) = k1_tarski(U_1000),
inference(definitional_conversion,[status(esa)],[f_283_2]) ).
cnf(f_283_4,plain,
k5_enumset1(U_1000,U_1000,U_1000,U_1000,U_1000,U_1000,U_1000) = k1_tarski(U_1000),
inference(clausify,[status(thm)],[f_283_3]) ).
fof(f_284_1,plain,
! [A,B] : k6_enumset1(A,A,A,A,A,A,A,B) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t95_enumset1]) ).
fof(f_284_2,plain,
! [U_1002,U_1001] : k6_enumset1(U_1002,U_1002,U_1002,U_1002,U_1002,U_1002,U_1002,U_1001) = k2_tarski(U_1002,U_1001),
inference(variable_rename,[status(thm)],[f_284_1]) ).
fof(f_284_3,plain,
! [U_1002,U_1001] : k6_enumset1(U_1002,U_1002,U_1002,U_1002,U_1002,U_1002,U_1002,U_1001) = k2_tarski(U_1002,U_1001),
inference(definitional_conversion,[status(esa)],[f_284_2]) ).
cnf(f_284_4,plain,
k6_enumset1(U_1002,U_1002,U_1002,U_1002,U_1002,U_1002,U_1002,U_1001) = k2_tarski(U_1002,U_1001),
inference(clausify,[status(thm)],[f_284_3]) ).
fof(f_285_1,plain,
! [A] : k6_enumset1(A,A,A,A,A,A,A,A) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t96_enumset1]) ).
fof(f_285_2,plain,
! [U_1003] : k6_enumset1(U_1003,U_1003,U_1003,U_1003,U_1003,U_1003,U_1003,U_1003) = k1_tarski(U_1003),
inference(variable_rename,[status(thm)],[f_285_1]) ).
fof(f_285_3,plain,
! [U_1003] : k6_enumset1(U_1003,U_1003,U_1003,U_1003,U_1003,U_1003,U_1003,U_1003) = k1_tarski(U_1003),
inference(definitional_conversion,[status(esa)],[f_285_2]) ).
cnf(f_285_4,plain,
k6_enumset1(U_1003,U_1003,U_1003,U_1003,U_1003,U_1003,U_1003,U_1003) = k1_tarski(U_1003),
inference(clausify,[status(thm)],[f_285_3]) ).
fof(f_286_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t97_enumset1]) ).
fof(f_286_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_286_1]) ).
cnf(f_286_3,plain,
$true,
inference(clausify,[status(thm)],[f_286_2]) ).
fof(f_287_1,plain,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(A,C,B),
inference(fof_nnf,[status(thm)],[t98_enumset1]) ).
fof(f_287_2,plain,
! [U_1006,U_1005,U_1004] : k1_enumset1(U_1006,U_1005,U_1004) = k1_enumset1(U_1006,U_1004,U_1005),
inference(variable_rename,[status(thm)],[f_287_1]) ).
fof(f_287_3,plain,
! [U_1005,U_1006,U_1004] : k1_enumset1(U_1006,U_1005,U_1004) = k1_enumset1(U_1006,U_1004,U_1005),
inference(definitional_conversion,[status(esa)],[f_287_2]) ).
cnf(f_287_4,plain,
k1_enumset1(U_1006,U_1005,U_1004) = k1_enumset1(U_1006,U_1004,U_1005),
inference(clausify,[status(thm)],[f_287_3]) ).
fof(f_288_1,plain,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(B,A,C),
inference(fof_nnf,[status(thm)],[t99_enumset1]) ).
fof(f_288_2,plain,
! [U_1009,U_1008,U_1007] : k1_enumset1(U_1009,U_1008,U_1007) = k1_enumset1(U_1008,U_1009,U_1007),
inference(variable_rename,[status(thm)],[f_288_1]) ).
fof(f_288_3,plain,
! [U_1009,U_1007,U_1008] : k1_enumset1(U_1009,U_1008,U_1007) = k1_enumset1(U_1008,U_1009,U_1007),
inference(definitional_conversion,[status(esa)],[f_288_2]) ).
cnf(f_288_4,plain,
k1_enumset1(U_1009,U_1008,U_1007) = k1_enumset1(U_1008,U_1009,U_1007),
inference(clausify,[status(thm)],[f_288_3]) ).
fof(f_289_1,plain,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(B,C,A),
inference(fof_nnf,[status(thm)],[t100_enumset1]) ).
fof(f_289_2,plain,
! [U_1012,U_1011,U_1010] : k1_enumset1(U_1012,U_1011,U_1010) = k1_enumset1(U_1011,U_1010,U_1012),
inference(variable_rename,[status(thm)],[f_289_1]) ).
fof(f_289_3,plain,
! [U_1011,U_1012,U_1010] : k1_enumset1(U_1012,U_1011,U_1010) = k1_enumset1(U_1011,U_1010,U_1012),
inference(definitional_conversion,[status(esa)],[f_289_2]) ).
cnf(f_289_4,plain,
k1_enumset1(U_1012,U_1011,U_1010) = k1_enumset1(U_1011,U_1010,U_1012),
inference(clausify,[status(thm)],[f_289_3]) ).
fof(f_290_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t101_enumset1]) ).
fof(f_290_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_290_1]) ).
cnf(f_290_3,plain,
$true,
inference(clausify,[status(thm)],[f_290_2]) ).
fof(f_291_1,plain,
! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(C,B,A),
inference(fof_nnf,[status(thm)],[t102_enumset1]) ).
fof(f_291_2,plain,
! [U_1015,U_1014,U_1013] : k1_enumset1(U_1015,U_1014,U_1013) = k1_enumset1(U_1013,U_1014,U_1015),
inference(variable_rename,[status(thm)],[f_291_1]) ).
fof(f_291_3,plain,
! [U_1015,U_1013,U_1014] : k1_enumset1(U_1015,U_1014,U_1013) = k1_enumset1(U_1013,U_1014,U_1015),
inference(definitional_conversion,[status(esa)],[f_291_2]) ).
cnf(f_291_4,plain,
k1_enumset1(U_1015,U_1014,U_1013) = k1_enumset1(U_1013,U_1014,U_1015),
inference(clausify,[status(thm)],[f_291_3]) ).
fof(f_292_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,B,D,C),
inference(fof_nnf,[status(thm)],[t103_enumset1]) ).
fof(f_292_2,plain,
! [U_1019,U_1018,U_1017,U_1016] : k2_enumset1(U_1019,U_1018,U_1017,U_1016) = k2_enumset1(U_1019,U_1018,U_1016,U_1017),
inference(variable_rename,[status(thm)],[f_292_1]) ).
fof(f_292_3,plain,
! [U_1016,U_1017,U_1018,U_1019] : k2_enumset1(U_1019,U_1018,U_1017,U_1016) = k2_enumset1(U_1019,U_1018,U_1016,U_1017),
inference(definitional_conversion,[status(esa)],[f_292_2]) ).
cnf(f_292_4,plain,
k2_enumset1(U_1019,U_1018,U_1017,U_1016) = k2_enumset1(U_1019,U_1018,U_1016,U_1017),
inference(clausify,[status(thm)],[f_292_3]) ).
fof(f_293_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,C,B,D),
inference(fof_nnf,[status(thm)],[t104_enumset1]) ).
fof(f_293_2,plain,
! [U_1023,U_1022,U_1021,U_1020] : k2_enumset1(U_1023,U_1022,U_1021,U_1020) = k2_enumset1(U_1023,U_1021,U_1022,U_1020),
inference(variable_rename,[status(thm)],[f_293_1]) ).
fof(f_293_3,plain,
! [U_1022,U_1023,U_1021,U_1020] : k2_enumset1(U_1023,U_1022,U_1021,U_1020) = k2_enumset1(U_1023,U_1021,U_1022,U_1020),
inference(definitional_conversion,[status(esa)],[f_293_2]) ).
cnf(f_293_4,plain,
k2_enumset1(U_1023,U_1022,U_1021,U_1020) = k2_enumset1(U_1023,U_1021,U_1022,U_1020),
inference(clausify,[status(thm)],[f_293_3]) ).
fof(f_294_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,C,D,B),
inference(fof_nnf,[status(thm)],[t105_enumset1]) ).
fof(f_294_2,plain,
! [U_1027,U_1026,U_1025,U_1024] : k2_enumset1(U_1027,U_1026,U_1025,U_1024) = k2_enumset1(U_1027,U_1025,U_1024,U_1026),
inference(variable_rename,[status(thm)],[f_294_1]) ).
fof(f_294_3,plain,
! [U_1024,U_1026,U_1025,U_1027] : k2_enumset1(U_1027,U_1026,U_1025,U_1024) = k2_enumset1(U_1027,U_1025,U_1024,U_1026),
inference(definitional_conversion,[status(esa)],[f_294_2]) ).
cnf(f_294_4,plain,
k2_enumset1(U_1027,U_1026,U_1025,U_1024) = k2_enumset1(U_1027,U_1025,U_1024,U_1026),
inference(clausify,[status(thm)],[f_294_3]) ).
fof(f_295_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t106_enumset1]) ).
fof(f_295_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_295_1]) ).
cnf(f_295_3,plain,
$true,
inference(clausify,[status(thm)],[f_295_2]) ).
fof(f_296_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,D,C,B),
inference(fof_nnf,[status(thm)],[t107_enumset1]) ).
fof(f_296_2,plain,
! [U_1031,U_1030,U_1029,U_1028] : k2_enumset1(U_1031,U_1030,U_1029,U_1028) = k2_enumset1(U_1031,U_1028,U_1029,U_1030),
inference(variable_rename,[status(thm)],[f_296_1]) ).
fof(f_296_3,plain,
! [U_1030,U_1031,U_1028,U_1029] : k2_enumset1(U_1031,U_1030,U_1029,U_1028) = k2_enumset1(U_1031,U_1028,U_1029,U_1030),
inference(definitional_conversion,[status(esa)],[f_296_2]) ).
cnf(f_296_4,plain,
k2_enumset1(U_1031,U_1030,U_1029,U_1028) = k2_enumset1(U_1031,U_1028,U_1029,U_1030),
inference(clausify,[status(thm)],[f_296_3]) ).
fof(f_297_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,A,C,D),
inference(fof_nnf,[status(thm)],[t108_enumset1]) ).
fof(f_297_2,plain,
! [U_1035,U_1034,U_1033,U_1032] : k2_enumset1(U_1035,U_1034,U_1033,U_1032) = k2_enumset1(U_1034,U_1035,U_1033,U_1032),
inference(variable_rename,[status(thm)],[f_297_1]) ).
fof(f_297_3,plain,
! [U_1035,U_1034,U_1032,U_1033] : k2_enumset1(U_1035,U_1034,U_1033,U_1032) = k2_enumset1(U_1034,U_1035,U_1033,U_1032),
inference(definitional_conversion,[status(esa)],[f_297_2]) ).
cnf(f_297_4,plain,
k2_enumset1(U_1035,U_1034,U_1033,U_1032) = k2_enumset1(U_1034,U_1035,U_1033,U_1032),
inference(clausify,[status(thm)],[f_297_3]) ).
fof(f_298_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,A,D,C),
inference(fof_nnf,[status(thm)],[t109_enumset1]) ).
fof(f_298_2,plain,
! [U_1039,U_1038,U_1037,U_1036] : k2_enumset1(U_1039,U_1038,U_1037,U_1036) = k2_enumset1(U_1038,U_1039,U_1036,U_1037),
inference(variable_rename,[status(thm)],[f_298_1]) ).
fof(f_298_3,plain,
! [U_1036,U_1038,U_1037,U_1039] : k2_enumset1(U_1039,U_1038,U_1037,U_1036) = k2_enumset1(U_1038,U_1039,U_1036,U_1037),
inference(definitional_conversion,[status(esa)],[f_298_2]) ).
cnf(f_298_4,plain,
k2_enumset1(U_1039,U_1038,U_1037,U_1036) = k2_enumset1(U_1038,U_1039,U_1036,U_1037),
inference(clausify,[status(thm)],[f_298_3]) ).
fof(f_299_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,C,A,D),
inference(fof_nnf,[status(thm)],[t110_enumset1]) ).
fof(f_299_2,plain,
! [U_1043,U_1042,U_1041,U_1040] : k2_enumset1(U_1043,U_1042,U_1041,U_1040) = k2_enumset1(U_1042,U_1041,U_1043,U_1040),
inference(variable_rename,[status(thm)],[f_299_1]) ).
fof(f_299_3,plain,
! [U_1043,U_1040,U_1042,U_1041] : k2_enumset1(U_1043,U_1042,U_1041,U_1040) = k2_enumset1(U_1042,U_1041,U_1043,U_1040),
inference(definitional_conversion,[status(esa)],[f_299_2]) ).
cnf(f_299_4,plain,
k2_enumset1(U_1043,U_1042,U_1041,U_1040) = k2_enumset1(U_1042,U_1041,U_1043,U_1040),
inference(clausify,[status(thm)],[f_299_3]) ).
fof(f_300_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,C,D,A),
inference(fof_nnf,[status(thm)],[t111_enumset1]) ).
fof(f_300_2,plain,
! [U_1047,U_1046,U_1045,U_1044] : k2_enumset1(U_1047,U_1046,U_1045,U_1044) = k2_enumset1(U_1046,U_1045,U_1044,U_1047),
inference(variable_rename,[status(thm)],[f_300_1]) ).
fof(f_300_3,plain,
! [U_1044,U_1045,U_1047,U_1046] : k2_enumset1(U_1047,U_1046,U_1045,U_1044) = k2_enumset1(U_1046,U_1045,U_1044,U_1047),
inference(definitional_conversion,[status(esa)],[f_300_2]) ).
cnf(f_300_4,plain,
k2_enumset1(U_1047,U_1046,U_1045,U_1044) = k2_enumset1(U_1046,U_1045,U_1044,U_1047),
inference(clausify,[status(thm)],[f_300_3]) ).
fof(f_301_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,D,A,C),
inference(fof_nnf,[status(thm)],[t112_enumset1]) ).
fof(f_301_2,plain,
! [U_1051,U_1050,U_1049,U_1048] : k2_enumset1(U_1051,U_1050,U_1049,U_1048) = k2_enumset1(U_1050,U_1048,U_1051,U_1049),
inference(variable_rename,[status(thm)],[f_301_1]) ).
fof(f_301_3,plain,
! [U_1050,U_1049,U_1051,U_1048] : k2_enumset1(U_1051,U_1050,U_1049,U_1048) = k2_enumset1(U_1050,U_1048,U_1051,U_1049),
inference(definitional_conversion,[status(esa)],[f_301_2]) ).
cnf(f_301_4,plain,
k2_enumset1(U_1051,U_1050,U_1049,U_1048) = k2_enumset1(U_1050,U_1048,U_1051,U_1049),
inference(clausify,[status(thm)],[f_301_3]) ).
fof(f_302_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,D,C,A),
inference(fof_nnf,[status(thm)],[t113_enumset1]) ).
fof(f_302_2,plain,
! [U_1055,U_1054,U_1053,U_1052] : k2_enumset1(U_1055,U_1054,U_1053,U_1052) = k2_enumset1(U_1054,U_1052,U_1053,U_1055),
inference(variable_rename,[status(thm)],[f_302_1]) ).
fof(f_302_3,plain,
! [U_1055,U_1053,U_1052,U_1054] : k2_enumset1(U_1055,U_1054,U_1053,U_1052) = k2_enumset1(U_1054,U_1052,U_1053,U_1055),
inference(definitional_conversion,[status(esa)],[f_302_2]) ).
cnf(f_302_4,plain,
k2_enumset1(U_1055,U_1054,U_1053,U_1052) = k2_enumset1(U_1054,U_1052,U_1053,U_1055),
inference(clausify,[status(thm)],[f_302_3]) ).
fof(f_303_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t114_enumset1]) ).
fof(f_303_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_303_1]) ).
cnf(f_303_3,plain,
$true,
inference(clausify,[status(thm)],[f_303_2]) ).
fof(f_304_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t115_enumset1]) ).
fof(f_304_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_304_1]) ).
cnf(f_304_3,plain,
$true,
inference(clausify,[status(thm)],[f_304_2]) ).
fof(f_305_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,B,A,D),
inference(fof_nnf,[status(thm)],[t116_enumset1]) ).
fof(f_305_2,plain,
! [U_1059,U_1058,U_1057,U_1056] : k2_enumset1(U_1059,U_1058,U_1057,U_1056) = k2_enumset1(U_1057,U_1058,U_1059,U_1056),
inference(variable_rename,[status(thm)],[f_305_1]) ).
fof(f_305_3,plain,
! [U_1059,U_1056,U_1057,U_1058] : k2_enumset1(U_1059,U_1058,U_1057,U_1056) = k2_enumset1(U_1057,U_1058,U_1059,U_1056),
inference(definitional_conversion,[status(esa)],[f_305_2]) ).
cnf(f_305_4,plain,
k2_enumset1(U_1059,U_1058,U_1057,U_1056) = k2_enumset1(U_1057,U_1058,U_1059,U_1056),
inference(clausify,[status(thm)],[f_305_3]) ).
fof(f_306_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,B,D,A),
inference(fof_nnf,[status(thm)],[t117_enumset1]) ).
fof(f_306_2,plain,
! [U_1063,U_1062,U_1061,U_1060] : k2_enumset1(U_1063,U_1062,U_1061,U_1060) = k2_enumset1(U_1061,U_1062,U_1060,U_1063),
inference(variable_rename,[status(thm)],[f_306_1]) ).
fof(f_306_3,plain,
! [U_1060,U_1061,U_1063,U_1062] : k2_enumset1(U_1063,U_1062,U_1061,U_1060) = k2_enumset1(U_1061,U_1062,U_1060,U_1063),
inference(definitional_conversion,[status(esa)],[f_306_2]) ).
cnf(f_306_4,plain,
k2_enumset1(U_1063,U_1062,U_1061,U_1060) = k2_enumset1(U_1061,U_1062,U_1060,U_1063),
inference(clausify,[status(thm)],[f_306_3]) ).
fof(f_307_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,D,A,B),
inference(fof_nnf,[status(thm)],[t118_enumset1]) ).
fof(f_307_2,plain,
! [U_1067,U_1066,U_1065,U_1064] : k2_enumset1(U_1067,U_1066,U_1065,U_1064) = k2_enumset1(U_1065,U_1064,U_1067,U_1066),
inference(variable_rename,[status(thm)],[f_307_1]) ).
fof(f_307_3,plain,
! [U_1067,U_1064,U_1066,U_1065] : k2_enumset1(U_1067,U_1066,U_1065,U_1064) = k2_enumset1(U_1065,U_1064,U_1067,U_1066),
inference(definitional_conversion,[status(esa)],[f_307_2]) ).
cnf(f_307_4,plain,
k2_enumset1(U_1067,U_1066,U_1065,U_1064) = k2_enumset1(U_1065,U_1064,U_1067,U_1066),
inference(clausify,[status(thm)],[f_307_3]) ).
fof(f_308_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,D,B,A),
inference(fof_nnf,[status(thm)],[t119_enumset1]) ).
fof(f_308_2,plain,
! [U_1071,U_1070,U_1069,U_1068] : k2_enumset1(U_1071,U_1070,U_1069,U_1068) = k2_enumset1(U_1069,U_1068,U_1070,U_1071),
inference(variable_rename,[status(thm)],[f_308_1]) ).
fof(f_308_3,plain,
! [U_1071,U_1068,U_1070,U_1069] : k2_enumset1(U_1071,U_1070,U_1069,U_1068) = k2_enumset1(U_1069,U_1068,U_1070,U_1071),
inference(definitional_conversion,[status(esa)],[f_308_2]) ).
cnf(f_308_4,plain,
k2_enumset1(U_1071,U_1070,U_1069,U_1068) = k2_enumset1(U_1069,U_1068,U_1070,U_1071),
inference(clausify,[status(thm)],[f_308_3]) ).
fof(f_309_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t120_enumset1]) ).
fof(f_309_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_309_1]) ).
cnf(f_309_3,plain,
$true,
inference(clausify,[status(thm)],[f_309_2]) ).
fof(f_310_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t121_enumset1]) ).
fof(f_310_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_310_1]) ).
cnf(f_310_3,plain,
$true,
inference(clausify,[status(thm)],[f_310_2]) ).
fof(f_311_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t122_enumset1]) ).
fof(f_311_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_311_1]) ).
cnf(f_311_3,plain,
$true,
inference(clausify,[status(thm)],[f_311_2]) ).
fof(f_312_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(D,B,C,A),
inference(fof_nnf,[status(thm)],[t123_enumset1]) ).
fof(f_312_2,plain,
! [U_1075,U_1074,U_1073,U_1072] : k2_enumset1(U_1075,U_1074,U_1073,U_1072) = k2_enumset1(U_1072,U_1074,U_1073,U_1075),
inference(variable_rename,[status(thm)],[f_312_1]) ).
fof(f_312_3,plain,
! [U_1074,U_1075,U_1072,U_1073] : k2_enumset1(U_1075,U_1074,U_1073,U_1072) = k2_enumset1(U_1072,U_1074,U_1073,U_1075),
inference(definitional_conversion,[status(esa)],[f_312_2]) ).
cnf(f_312_4,plain,
k2_enumset1(U_1075,U_1074,U_1073,U_1072) = k2_enumset1(U_1072,U_1074,U_1073,U_1075),
inference(clausify,[status(thm)],[f_312_3]) ).
fof(f_313_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t124_enumset1]) ).
fof(f_313_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_313_1]) ).
cnf(f_313_3,plain,
$true,
inference(clausify,[status(thm)],[f_313_2]) ).
fof(f_314_1,plain,
! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(D,C,B,A),
inference(fof_nnf,[status(thm)],[t125_enumset1]) ).
fof(f_314_2,plain,
! [U_1079,U_1078,U_1077,U_1076] : k2_enumset1(U_1079,U_1078,U_1077,U_1076) = k2_enumset1(U_1076,U_1077,U_1078,U_1079),
inference(variable_rename,[status(thm)],[f_314_1]) ).
fof(f_314_3,plain,
! [U_1076,U_1077,U_1078,U_1079] : k2_enumset1(U_1079,U_1078,U_1077,U_1076) = k2_enumset1(U_1076,U_1077,U_1078,U_1079),
inference(definitional_conversion,[status(esa)],[f_314_2]) ).
cnf(f_314_4,plain,
k2_enumset1(U_1079,U_1078,U_1077,U_1076) = k2_enumset1(U_1076,U_1077,U_1078,U_1079),
inference(clausify,[status(thm)],[f_314_3]) ).
fof(f_315_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_enumset1]) ).
fof(f_315_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_315_1]) ).
cnf(f_315_3,plain,
$true,
inference(clausify,[status(thm)],[f_315_2]) ).
fof(f_316_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_enumset1]) ).
fof(f_316_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_316_1]) ).
cnf(f_316_3,plain,
$true,
inference(clausify,[status(thm)],[f_316_2]) ).
fof(f_317_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_enumset1]) ).
fof(f_317_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_317_1]) ).
cnf(f_317_3,plain,
$true,
inference(clausify,[status(thm)],[f_317_2]) ).
fof(f_318_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k4_enumset1]) ).
fof(f_318_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_318_1]) ).
cnf(f_318_3,plain,
$true,
inference(clausify,[status(thm)],[f_318_2]) ).
fof(f_319_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k5_enumset1]) ).
fof(f_319_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_319_1]) ).
cnf(f_319_3,plain,
$true,
inference(clausify,[status(thm)],[f_319_2]) ).
fof(f_320_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k6_enumset1]) ).
fof(f_320_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_320_1]) ).
cnf(f_320_3,plain,
$true,
inference(clausify,[status(thm)],[f_320_2]) ).
fof(f_321_1,plain,
! [A,B] : ~ v1_xboole_0(k4_tarski(A,B)),
inference(fof_nnf,[status(thm)],[fc1_zfmisc_1]) ).
fof(f_321_2,plain,
! [U_1081,U_1080] : ~ v1_xboole_0(k4_tarski(U_1081,U_1080)),
inference(variable_rename,[status(thm)],[f_321_1]) ).
fof(f_321_3,plain,
! [U_1081,U_1080] : ~ v1_xboole_0(k4_tarski(U_1081,U_1080)),
inference(definitional_conversion,[status(esa)],[f_321_2]) ).
cnf(f_321_4,plain,
~ v1_xboole_0(k4_tarski(U_1081,U_1080)),
inference(clausify,[status(thm)],[f_321_3]) ).
fof(f_322_1,plain,
! [A,B] :
( ( B = k1_zfmisc_1(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& r1_tarski(C,A) )
| ( ~ r1_tarski(C,A)
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ~ r1_tarski(C,A) )
& ( r1_tarski(C,A)
| ~ r2_hidden(C,B) ) )
| B != k1_zfmisc_1(A) ) ),
inference(fof_nnf,[status(thm)],[d1_zfmisc_1]) ).
fof(f_322_2,plain,
! [U_1085,U_1084] :
( ( U_1084 = k1_zfmisc_1(U_1085)
| ? [U_1083] :
( ( ~ r2_hidden(U_1083,U_1084)
& r1_tarski(U_1083,U_1085) )
| ( ~ r1_tarski(U_1083,U_1085)
& r2_hidden(U_1083,U_1084) ) ) )
& ( ! [U_1082] :
( ( r2_hidden(U_1082,U_1084)
| ~ r1_tarski(U_1082,U_1085) )
& ( r1_tarski(U_1082,U_1085)
| ~ r2_hidden(U_1082,U_1084) ) )
| U_1084 != k1_zfmisc_1(U_1085) ) ),
inference(variable_rename,[status(thm)],[f_322_1]) ).
fof(f_322_3,plain,
( ! [U_1093,U_1091] :
( U_1091 = k1_zfmisc_1(U_1093)
| ? [U_1089] :
( ~ r2_hidden(U_1089,U_1091)
& r1_tarski(U_1089,U_1093) )
| ? [U_1088] :
( ~ r1_tarski(U_1088,U_1093)
& r2_hidden(U_1088,U_1091) ) )
& ! [U_1092,U_1090] :
( ( ! [U_1087] :
( r2_hidden(U_1087,U_1090)
| ~ r1_tarski(U_1087,U_1092) )
& ! [U_1086] :
( r1_tarski(U_1086,U_1092)
| ~ r2_hidden(U_1086,U_1090) ) )
| U_1090 != k1_zfmisc_1(U_1092) ) ),
inference(miniscope,[status(thm)],[f_322_2]) ).
fof(f_322_4,plain,
( ! [U_1093,U_1091] :
( U_1091 = k1_zfmisc_1(U_1093)
| ? [U_1089] :
( ~ r2_hidden(U_1089,U_1091)
& r1_tarski(U_1089,U_1093) )
| ( ~ r1_tarski(sK65(U_1093,U_1091),U_1093)
& r2_hidden(sK65(U_1093,U_1091),U_1091) ) )
& ! [U_1092,U_1090] :
( ( ! [U_1087] :
( r2_hidden(U_1087,U_1090)
| ~ r1_tarski(U_1087,U_1092) )
& ! [U_1086] :
( r1_tarski(U_1086,U_1092)
| ~ r2_hidden(U_1086,U_1090) ) )
| U_1090 != k1_zfmisc_1(U_1092) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_1088,sK65(U_1093,U_1091))],[f_322_3]) ).
fof(f_322_5,plain,
( ! [U_1093,U_1091] :
( U_1091 = k1_zfmisc_1(U_1093)
| ( ~ r2_hidden(sK66(U_1093,U_1091),U_1091)
& r1_tarski(sK66(U_1093,U_1091),U_1093) )
| ( ~ r1_tarski(sK65(U_1093,U_1091),U_1093)
& r2_hidden(sK65(U_1093,U_1091),U_1091) ) )
& ! [U_1092,U_1090] :
( ( ! [U_1087] :
( r2_hidden(U_1087,U_1090)
| ~ r1_tarski(U_1087,U_1092) )
& ! [U_1086] :
( r1_tarski(U_1086,U_1092)
| ~ r2_hidden(U_1086,U_1090) ) )
| U_1090 != k1_zfmisc_1(U_1092) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_1089,sK66(U_1093,U_1091))],[f_322_4]) ).
fof(f_322_6,plain,
( ! [U_1091,U_1093] :
( ~ r2_hidden(sK66(U_1093,U_1091),U_1091)
| ~ sP94(U_1091,U_1093) )
& ! [U_1091,U_1093] :
( r1_tarski(sK66(U_1093,U_1091),U_1093)
| ~ sP94(U_1091,U_1093) )
& ! [U_1091,U_1093] :
( ~ r1_tarski(sK65(U_1093,U_1091),U_1093)
| ~ sP93(U_1091,U_1093) )
& ! [U_1091,U_1093] :
( r2_hidden(sK65(U_1093,U_1091),U_1091)
| ~ sP93(U_1091,U_1093) )
& ! [U_1086,U_1087,U_1090,U_1092] :
( r2_hidden(U_1087,U_1090)
| ~ r1_tarski(U_1087,U_1092)
| ~ sP92(U_1086,U_1087,U_1090,U_1092) )
& ! [U_1086,U_1087,U_1090,U_1092] :
( r1_tarski(U_1086,U_1092)
| ~ r2_hidden(U_1086,U_1090)
| ~ sP92(U_1086,U_1087,U_1090,U_1092) )
& ! [U_1091,U_1093] :
( U_1091 = k1_zfmisc_1(U_1093)
| sP94(U_1091,U_1093)
| sP93(U_1091,U_1093) )
& ! [U_1086,U_1087,U_1090,U_1092] :
( sP92(U_1086,U_1087,U_1090,U_1092)
| U_1090 != k1_zfmisc_1(U_1092) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP92,sP93,sP94])],[f_322_5]) ).
cnf(f_322_7,plain,
( sP92(U_1086,U_1087,U_1090,U_1092)
| U_1090 != k1_zfmisc_1(U_1092) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_8,plain,
( U_1091 = k1_zfmisc_1(U_1093)
| sP94(U_1091,U_1093)
| sP93(U_1091,U_1093) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_9,plain,
( r1_tarski(U_1086,U_1092)
| ~ r2_hidden(U_1086,U_1090)
| ~ sP92(U_1086,U_1087,U_1090,U_1092) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_10,plain,
( r2_hidden(U_1087,U_1090)
| ~ r1_tarski(U_1087,U_1092)
| ~ sP92(U_1086,U_1087,U_1090,U_1092) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_11,plain,
( r2_hidden(sK65(U_1093,U_1091),U_1091)
| ~ sP93(U_1091,U_1093) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_12,plain,
( ~ r1_tarski(sK65(U_1093,U_1091),U_1093)
| ~ sP93(U_1091,U_1093) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_13,plain,
( r1_tarski(sK66(U_1093,U_1091),U_1093)
| ~ sP94(U_1091,U_1093) ),
inference(clausify,[status(thm)],[f_322_6]) ).
cnf(f_322_14,plain,
( ~ r2_hidden(sK66(U_1093,U_1091),U_1091)
| ~ sP94(U_1091,U_1093) ),
inference(clausify,[status(thm)],[f_322_6]) ).
fof(f_323_1,plain,
! [A,B,C] :
( ( C = k2_zfmisc_1(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ? [E,F] :
( D = k4_tarski(E,F)
& r2_hidden(F,B)
& r2_hidden(E,A) ) )
| ( ! [E,F] :
( D != k4_tarski(E,F)
| ~ r2_hidden(F,B)
| ~ r2_hidden(E,A) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ! [E,F] :
( D != k4_tarski(E,F)
| ~ r2_hidden(F,B)
| ~ r2_hidden(E,A) ) )
& ( ? [E,F] :
( D = k4_tarski(E,F)
& r2_hidden(F,B)
& r2_hidden(E,A) )
| ~ r2_hidden(D,C) ) )
| C != k2_zfmisc_1(A,B) ) ),
inference(fof_nnf,[status(thm)],[d2_zfmisc_1]) ).
fof(f_323_2,plain,
! [U_1106,U_1105,U_1104] :
( ( U_1104 = k2_zfmisc_1(U_1106,U_1105)
| ? [U_1103] :
( ( ~ r2_hidden(U_1103,U_1104)
& ? [U_1102,U_1101] :
( U_1103 = k4_tarski(U_1102,U_1101)
& r2_hidden(U_1101,U_1105)
& r2_hidden(U_1102,U_1106) ) )
| ( ! [U_1100,U_1099] :
( U_1103 != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1105)
| ~ r2_hidden(U_1100,U_1106) )
& r2_hidden(U_1103,U_1104) ) ) )
& ( ! [U_1098] :
( ( r2_hidden(U_1098,U_1104)
| ! [U_1097,U_1096] :
( U_1098 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1105)
| ~ r2_hidden(U_1097,U_1106) ) )
& ( ? [U_1095,U_1094] :
( U_1098 = k4_tarski(U_1095,U_1094)
& r2_hidden(U_1094,U_1105)
& r2_hidden(U_1095,U_1106) )
| ~ r2_hidden(U_1098,U_1104) ) )
| U_1104 != k2_zfmisc_1(U_1106,U_1105) ) ),
inference(variable_rename,[status(thm)],[f_323_1]) ).
fof(f_323_3,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ? [U_1110] :
( ~ r2_hidden(U_1110,U_1112)
& ? [U_1102] :
( ? [U_1101] :
( U_1110 = k4_tarski(U_1102,U_1101)
& r2_hidden(U_1101,U_1114) )
& r2_hidden(U_1102,U_1116) ) )
| ? [U_1109] :
( ! [U_1100] :
( ! [U_1099] :
( U_1109 != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(U_1109,U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ? [U_1095] :
( ? [U_1094] :
( U_1107 = k4_tarski(U_1095,U_1094)
& r2_hidden(U_1094,U_1113) )
& r2_hidden(U_1095,U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(miniscope,[status(thm)],[f_323_2]) ).
fof(f_323_4,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ? [U_1110] :
( ~ r2_hidden(U_1110,U_1112)
& ? [U_1102] :
( ? [U_1101] :
( U_1110 = k4_tarski(U_1102,U_1101)
& r2_hidden(U_1101,U_1114) )
& r2_hidden(U_1102,U_1116) ) )
| ? [U_1109] :
( ! [U_1100] :
( ! [U_1099] :
( U_1109 != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(U_1109,U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ( ? [U_1094] :
( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),U_1094)
& r2_hidden(U_1094,U_1113) )
& r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_1095,sK67(U_1115,U_1113,U_1111,U_1107))],[f_323_3]) ).
fof(f_323_5,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ? [U_1110] :
( ~ r2_hidden(U_1110,U_1112)
& ? [U_1102] :
( ? [U_1101] :
( U_1110 = k4_tarski(U_1102,U_1101)
& r2_hidden(U_1101,U_1114) )
& r2_hidden(U_1102,U_1116) ) )
| ? [U_1109] :
( ! [U_1100] :
( ! [U_1099] :
( U_1109 != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(U_1109,U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
& r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
& r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_1094,sK68(U_1115,U_1113,U_1111,U_1107))],[f_323_4]) ).
fof(f_323_6,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ? [U_1110] :
( ~ r2_hidden(U_1110,U_1112)
& ? [U_1102] :
( ? [U_1101] :
( U_1110 = k4_tarski(U_1102,U_1101)
& r2_hidden(U_1101,U_1114) )
& r2_hidden(U_1102,U_1116) ) )
| ( ! [U_1100] :
( ! [U_1099] :
( sK69(U_1116,U_1114,U_1112) != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(sK69(U_1116,U_1114,U_1112),U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
& r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
& r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_1109,sK69(U_1116,U_1114,U_1112))],[f_323_5]) ).
fof(f_323_7,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ( ~ r2_hidden(sK70(U_1116,U_1114,U_1112),U_1112)
& ? [U_1102] :
( ? [U_1101] :
( sK70(U_1116,U_1114,U_1112) = k4_tarski(U_1102,U_1101)
& r2_hidden(U_1101,U_1114) )
& r2_hidden(U_1102,U_1116) ) )
| ( ! [U_1100] :
( ! [U_1099] :
( sK69(U_1116,U_1114,U_1112) != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(sK69(U_1116,U_1114,U_1112),U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
& r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
& r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_1110,sK70(U_1116,U_1114,U_1112))],[f_323_6]) ).
fof(f_323_8,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ( ~ r2_hidden(sK70(U_1116,U_1114,U_1112),U_1112)
& ? [U_1101] :
( sK70(U_1116,U_1114,U_1112) = k4_tarski(sK71(U_1116,U_1114,U_1112),U_1101)
& r2_hidden(U_1101,U_1114) )
& r2_hidden(sK71(U_1116,U_1114,U_1112),U_1116) )
| ( ! [U_1100] :
( ! [U_1099] :
( sK69(U_1116,U_1114,U_1112) != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(sK69(U_1116,U_1114,U_1112),U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
& r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
& r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_1102,sK71(U_1116,U_1114,U_1112))],[f_323_7]) ).
fof(f_323_9,plain,
( ! [U_1116,U_1114,U_1112] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| ( ~ r2_hidden(sK70(U_1116,U_1114,U_1112),U_1112)
& sK70(U_1116,U_1114,U_1112) = k4_tarski(sK71(U_1116,U_1114,U_1112),sK72(U_1116,U_1114,U_1112))
& r2_hidden(sK72(U_1116,U_1114,U_1112),U_1114)
& r2_hidden(sK71(U_1116,U_1114,U_1112),U_1116) )
| ( ! [U_1100] :
( ! [U_1099] :
( sK69(U_1116,U_1114,U_1112) != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114) )
| ~ r2_hidden(U_1100,U_1116) )
& r2_hidden(sK69(U_1116,U_1114,U_1112),U_1112) ) )
& ! [U_1115,U_1113,U_1111] :
( ( ! [U_1108] :
( r2_hidden(U_1108,U_1111)
| ! [U_1097] :
( ! [U_1096] :
( U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113) )
| ~ r2_hidden(U_1097,U_1115) ) )
& ! [U_1107] :
( ( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
& r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
& r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115) )
| ~ r2_hidden(U_1107,U_1111) ) )
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_1101,sK72(U_1116,U_1114,U_1112))],[f_323_8]) ).
fof(f_323_10,plain,
( ! [U_1112,U_1114,U_1116] :
( ~ r2_hidden(sK70(U_1116,U_1114,U_1112),U_1112)
| ~ sP98(U_1112,U_1114,U_1116) )
& ! [U_1112,U_1114,U_1116] :
( sK70(U_1116,U_1114,U_1112) = k4_tarski(sK71(U_1116,U_1114,U_1112),sK72(U_1116,U_1114,U_1112))
| ~ sP98(U_1112,U_1114,U_1116) )
& ! [U_1112,U_1114,U_1116] :
( r2_hidden(sK72(U_1116,U_1114,U_1112),U_1114)
| ~ sP98(U_1112,U_1114,U_1116) )
& ! [U_1112,U_1114,U_1116] :
( r2_hidden(sK71(U_1116,U_1114,U_1112),U_1116)
| ~ sP98(U_1112,U_1114,U_1116) )
& ! [U_1112,U_1114,U_1116,U_1100,U_1099] :
( sK69(U_1116,U_1114,U_1112) != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114)
| ~ r2_hidden(U_1100,U_1116)
| ~ sP97(U_1112,U_1114,U_1116,U_1100,U_1099) )
& ! [U_1112,U_1114,U_1116,U_1100,U_1099] :
( r2_hidden(sK69(U_1116,U_1114,U_1112),U_1112)
| ~ sP97(U_1112,U_1114,U_1116,U_1100,U_1099) )
& ! [U_1115,U_1113,U_1111,U_1107] :
( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
| ~ sP95(U_1115,U_1113,U_1111,U_1107) )
& ! [U_1115,U_1113,U_1111,U_1107] :
( r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
| ~ sP95(U_1115,U_1113,U_1111,U_1107) )
& ! [U_1115,U_1113,U_1111,U_1107] :
( r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115)
| ~ sP95(U_1115,U_1113,U_1111,U_1107) )
& ! [U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108] :
( r2_hidden(U_1108,U_1111)
| U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113)
| ~ r2_hidden(U_1097,U_1115)
| ~ sP96(U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108) )
& ! [U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108] :
( sP95(U_1115,U_1113,U_1111,U_1107)
| ~ r2_hidden(U_1107,U_1111)
| ~ sP96(U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108) )
& ! [U_1112,U_1114,U_1116,U_1100,U_1099] :
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| sP98(U_1112,U_1114,U_1116)
| sP97(U_1112,U_1114,U_1116,U_1100,U_1099) )
& ! [U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108] :
( sP96(U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108)
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP95,sP96,sP97,sP98])],[f_323_9]) ).
cnf(f_323_11,plain,
( sP96(U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108)
| U_1111 != k2_zfmisc_1(U_1115,U_1113) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_12,plain,
( U_1112 = k2_zfmisc_1(U_1116,U_1114)
| sP98(U_1112,U_1114,U_1116)
| sP97(U_1112,U_1114,U_1116,U_1100,U_1099) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_13,plain,
( sP95(U_1115,U_1113,U_1111,U_1107)
| ~ r2_hidden(U_1107,U_1111)
| ~ sP96(U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_14,plain,
( r2_hidden(U_1108,U_1111)
| U_1108 != k4_tarski(U_1097,U_1096)
| ~ r2_hidden(U_1096,U_1113)
| ~ r2_hidden(U_1097,U_1115)
| ~ sP96(U_1115,U_1096,U_1097,U_1113,U_1111,U_1107,U_1108) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_15,plain,
( r2_hidden(sK67(U_1115,U_1113,U_1111,U_1107),U_1115)
| ~ sP95(U_1115,U_1113,U_1111,U_1107) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_16,plain,
( r2_hidden(sK68(U_1115,U_1113,U_1111,U_1107),U_1113)
| ~ sP95(U_1115,U_1113,U_1111,U_1107) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_17,plain,
( U_1107 = k4_tarski(sK67(U_1115,U_1113,U_1111,U_1107),sK68(U_1115,U_1113,U_1111,U_1107))
| ~ sP95(U_1115,U_1113,U_1111,U_1107) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_18,plain,
( r2_hidden(sK69(U_1116,U_1114,U_1112),U_1112)
| ~ sP97(U_1112,U_1114,U_1116,U_1100,U_1099) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_19,plain,
( sK69(U_1116,U_1114,U_1112) != k4_tarski(U_1100,U_1099)
| ~ r2_hidden(U_1099,U_1114)
| ~ r2_hidden(U_1100,U_1116)
| ~ sP97(U_1112,U_1114,U_1116,U_1100,U_1099) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_20,plain,
( r2_hidden(sK71(U_1116,U_1114,U_1112),U_1116)
| ~ sP98(U_1112,U_1114,U_1116) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_21,plain,
( r2_hidden(sK72(U_1116,U_1114,U_1112),U_1114)
| ~ sP98(U_1112,U_1114,U_1116) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_22,plain,
( sK70(U_1116,U_1114,U_1112) = k4_tarski(sK71(U_1116,U_1114,U_1112),sK72(U_1116,U_1114,U_1112))
| ~ sP98(U_1112,U_1114,U_1116) ),
inference(clausify,[status(thm)],[f_323_10]) ).
cnf(f_323_23,plain,
( ~ r2_hidden(sK70(U_1116,U_1114,U_1112),U_1112)
| ~ sP98(U_1112,U_1114,U_1116) ),
inference(clausify,[status(thm)],[f_323_10]) ).
fof(f_324_1,plain,
! [A,B,C] : k3_zfmisc_1(A,B,C) = k2_zfmisc_1(k2_zfmisc_1(A,B),C),
inference(fof_nnf,[status(thm)],[d3_zfmisc_1]) ).
fof(f_324_2,plain,
! [U_1119,U_1118,U_1117] : k3_zfmisc_1(U_1119,U_1118,U_1117) = k2_zfmisc_1(k2_zfmisc_1(U_1119,U_1118),U_1117),
inference(variable_rename,[status(thm)],[f_324_1]) ).
fof(f_324_3,plain,
! [U_1119,U_1117,U_1118] : k3_zfmisc_1(U_1119,U_1118,U_1117) = k2_zfmisc_1(k2_zfmisc_1(U_1119,U_1118),U_1117),
inference(definitional_conversion,[status(esa)],[f_324_2]) ).
cnf(f_324_4,plain,
k3_zfmisc_1(U_1119,U_1118,U_1117) = k2_zfmisc_1(k2_zfmisc_1(U_1119,U_1118),U_1117),
inference(clausify,[status(thm)],[f_324_3]) ).
fof(f_325_1,plain,
! [A,B,C,D] : k4_zfmisc_1(A,B,C,D) = k2_zfmisc_1(k3_zfmisc_1(A,B,C),D),
inference(fof_nnf,[status(thm)],[d4_zfmisc_1]) ).
fof(f_325_2,plain,
! [U_1123,U_1122,U_1121,U_1120] : k4_zfmisc_1(U_1123,U_1122,U_1121,U_1120) = k2_zfmisc_1(k3_zfmisc_1(U_1123,U_1122,U_1121),U_1120),
inference(variable_rename,[status(thm)],[f_325_1]) ).
fof(f_325_3,plain,
! [U_1123,U_1122,U_1120,U_1121] : k4_zfmisc_1(U_1123,U_1122,U_1121,U_1120) = k2_zfmisc_1(k3_zfmisc_1(U_1123,U_1122,U_1121),U_1120),
inference(definitional_conversion,[status(esa)],[f_325_2]) ).
cnf(f_325_4,plain,
k4_zfmisc_1(U_1123,U_1122,U_1121,U_1120) = k2_zfmisc_1(k3_zfmisc_1(U_1123,U_1122,U_1121),U_1120),
inference(clausify,[status(thm)],[f_325_3]) ).
fof(f_326_1,plain,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
inference(fof_nnf,[status(thm)],[t1_zfmisc_1]) ).
fof(f_326_2,plain,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_326_1]) ).
cnf(f_326_3,plain,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
inference(clausify,[status(thm)],[f_326_2]) ).
fof(f_327_1,plain,
k3_tarski(k1_xboole_0) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t2_zfmisc_1]) ).
fof(f_327_2,plain,
k3_tarski(k1_xboole_0) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_327_1]) ).
cnf(f_327_3,plain,
k3_tarski(k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_327_2]) ).
fof(f_328_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_zfmisc_1]) ).
fof(f_328_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_328_1]) ).
cnf(f_328_3,plain,
$true,
inference(clausify,[status(thm)],[f_328_2]) ).
fof(f_329_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_zfmisc_1]) ).
fof(f_329_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_329_1]) ).
cnf(f_329_3,plain,
$true,
inference(clausify,[status(thm)],[f_329_2]) ).
fof(f_330_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_zfmisc_1]) ).
fof(f_330_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_330_1]) ).
cnf(f_330_3,plain,
$true,
inference(clausify,[status(thm)],[f_330_2]) ).
fof(f_331_1,plain,
! [A,B] :
( A = B
| ~ r1_tarski(k1_tarski(A),k1_tarski(B)) ),
inference(fof_nnf,[status(thm)],[t6_zfmisc_1]) ).
fof(f_331_2,plain,
! [U_1125,U_1124] :
( U_1125 = U_1124
| ~ r1_tarski(k1_tarski(U_1125),k1_tarski(U_1124)) ),
inference(variable_rename,[status(thm)],[f_331_1]) ).
fof(f_331_3,plain,
! [U_1125,U_1124] :
( U_1125 = U_1124
| ~ r1_tarski(k1_tarski(U_1125),k1_tarski(U_1124)) ),
inference(definitional_conversion,[status(esa)],[f_331_2]) ).
cnf(f_331_4,plain,
( U_1125 = U_1124
| ~ r1_tarski(k1_tarski(U_1125),k1_tarski(U_1124)) ),
inference(clausify,[status(thm)],[f_331_3]) ).
fof(f_332_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_zfmisc_1]) ).
fof(f_332_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_332_1]) ).
cnf(f_332_3,plain,
$true,
inference(clausify,[status(thm)],[f_332_2]) ).
fof(f_333_1,plain,
! [A,B,C] :
( A = B
| k1_tarski(A) != k2_tarski(B,C) ),
inference(fof_nnf,[status(thm)],[t8_zfmisc_1]) ).
fof(f_333_2,plain,
! [U_1128,U_1127,U_1126] :
( U_1128 = U_1127
| k1_tarski(U_1128) != k2_tarski(U_1127,U_1126) ),
inference(variable_rename,[status(thm)],[f_333_1]) ).
fof(f_333_3,plain,
! [U_1128,U_1127] :
( ! [U_1126] : k1_tarski(U_1128) != k2_tarski(U_1127,U_1126)
| U_1128 = U_1127 ),
inference(miniscope,[status(thm)],[f_333_2]) ).
fof(f_333_4,plain,
! [U_1127,U_1128,U_1126] :
( k1_tarski(U_1128) != k2_tarski(U_1127,U_1126)
| U_1128 = U_1127 ),
inference(definitional_conversion,[status(esa)],[f_333_3]) ).
cnf(f_333_5,plain,
( k1_tarski(U_1128) != k2_tarski(U_1127,U_1126)
| U_1128 = U_1127 ),
inference(clausify,[status(thm)],[f_333_4]) ).
fof(f_334_1,plain,
! [A,B,C] :
( B = C
| k1_tarski(A) != k2_tarski(B,C) ),
inference(fof_nnf,[status(thm)],[t9_zfmisc_1]) ).
fof(f_334_2,plain,
! [U_1131,U_1130,U_1129] :
( U_1130 = U_1129
| k1_tarski(U_1131) != k2_tarski(U_1130,U_1129) ),
inference(variable_rename,[status(thm)],[f_334_1]) ).
fof(f_334_3,plain,
! [U_1129,U_1130,U_1131] :
( U_1130 = U_1129
| k1_tarski(U_1131) != k2_tarski(U_1130,U_1129) ),
inference(definitional_conversion,[status(esa)],[f_334_2]) ).
cnf(f_334_4,plain,
( U_1130 = U_1129
| k1_tarski(U_1131) != k2_tarski(U_1130,U_1129) ),
inference(clausify,[status(thm)],[f_334_3]) ).
fof(f_335_1,plain,
! [A,B,C,D] :
( A = D
| A = C
| k2_tarski(A,B) != k2_tarski(C,D) ),
inference(fof_nnf,[status(thm)],[t10_zfmisc_1]) ).
fof(f_335_2,plain,
! [U_1135,U_1134,U_1133,U_1132] :
( U_1135 = U_1132
| U_1135 = U_1133
| k2_tarski(U_1135,U_1134) != k2_tarski(U_1133,U_1132) ),
inference(variable_rename,[status(thm)],[f_335_1]) ).
fof(f_335_3,plain,
! [U_1135,U_1134,U_1133] :
( ! [U_1132] :
( U_1135 = U_1132
| k2_tarski(U_1135,U_1134) != k2_tarski(U_1133,U_1132) )
| U_1135 = U_1133 ),
inference(miniscope,[status(thm)],[f_335_2]) ).
fof(f_335_4,plain,
! [U_1132,U_1133,U_1134,U_1135] :
( U_1135 = U_1132
| k2_tarski(U_1135,U_1134) != k2_tarski(U_1133,U_1132)
| U_1135 = U_1133 ),
inference(definitional_conversion,[status(esa)],[f_335_3]) ).
cnf(f_335_5,plain,
( U_1135 = U_1132
| k2_tarski(U_1135,U_1134) != k2_tarski(U_1133,U_1132)
| U_1135 = U_1133 ),
inference(clausify,[status(thm)],[f_335_4]) ).
fof(f_336_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_zfmisc_1]) ).
fof(f_336_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_336_1]) ).
cnf(f_336_3,plain,
$true,
inference(clausify,[status(thm)],[f_336_2]) ).
fof(f_337_1,plain,
! [A,B] : r1_tarski(k1_tarski(A),k2_tarski(A,B)),
inference(fof_nnf,[status(thm)],[t12_zfmisc_1]) ).
fof(f_337_2,plain,
! [U_1137,U_1136] : r1_tarski(k1_tarski(U_1137),k2_tarski(U_1137,U_1136)),
inference(variable_rename,[status(thm)],[f_337_1]) ).
fof(f_337_3,plain,
! [U_1136,U_1137] : r1_tarski(k1_tarski(U_1137),k2_tarski(U_1137,U_1136)),
inference(definitional_conversion,[status(esa)],[f_337_2]) ).
cnf(f_337_4,plain,
r1_tarski(k1_tarski(U_1137),k2_tarski(U_1137,U_1136)),
inference(clausify,[status(thm)],[f_337_3]) ).
fof(f_338_1,plain,
! [A,B] :
( A = B
| k2_xboole_0(k1_tarski(A),k1_tarski(B)) != k1_tarski(A) ),
inference(fof_nnf,[status(thm)],[t13_zfmisc_1]) ).
fof(f_338_2,plain,
! [U_1139,U_1138] :
( U_1139 = U_1138
| k2_xboole_0(k1_tarski(U_1139),k1_tarski(U_1138)) != k1_tarski(U_1139) ),
inference(variable_rename,[status(thm)],[f_338_1]) ).
fof(f_338_3,plain,
! [U_1138,U_1139] :
( U_1139 = U_1138
| k2_xboole_0(k1_tarski(U_1139),k1_tarski(U_1138)) != k1_tarski(U_1139) ),
inference(definitional_conversion,[status(esa)],[f_338_2]) ).
cnf(f_338_4,plain,
( U_1139 = U_1138
| k2_xboole_0(k1_tarski(U_1139),k1_tarski(U_1138)) != k1_tarski(U_1139) ),
inference(clausify,[status(thm)],[f_338_3]) ).
fof(f_339_1,plain,
! [A,B] : k2_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t14_zfmisc_1]) ).
fof(f_339_2,plain,
! [U_1141,U_1140] : k2_xboole_0(k1_tarski(U_1141),k2_tarski(U_1141,U_1140)) = k2_tarski(U_1141,U_1140),
inference(variable_rename,[status(thm)],[f_339_1]) ).
fof(f_339_3,plain,
! [U_1140,U_1141] : k2_xboole_0(k1_tarski(U_1141),k2_tarski(U_1141,U_1140)) = k2_tarski(U_1141,U_1140),
inference(definitional_conversion,[status(esa)],[f_339_2]) ).
cnf(f_339_4,plain,
k2_xboole_0(k1_tarski(U_1141),k2_tarski(U_1141,U_1140)) = k2_tarski(U_1141,U_1140),
inference(clausify,[status(thm)],[f_339_3]) ).
fof(f_340_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_zfmisc_1]) ).
fof(f_340_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_340_1]) ).
cnf(f_340_3,plain,
$true,
inference(clausify,[status(thm)],[f_340_2]) ).
fof(f_341_1,plain,
! [A,B] :
( A != B
| ~ r1_xboole_0(k1_tarski(A),k1_tarski(B)) ),
inference(fof_nnf,[status(thm)],[t16_zfmisc_1]) ).
fof(f_341_2,plain,
! [U_1143,U_1142] :
( U_1143 != U_1142
| ~ r1_xboole_0(k1_tarski(U_1143),k1_tarski(U_1142)) ),
inference(variable_rename,[status(thm)],[f_341_1]) ).
fof(f_341_3,plain,
! [U_1142,U_1143] :
( U_1143 != U_1142
| ~ r1_xboole_0(k1_tarski(U_1143),k1_tarski(U_1142)) ),
inference(definitional_conversion,[status(esa)],[f_341_2]) ).
cnf(f_341_4,plain,
( U_1143 != U_1142
| ~ r1_xboole_0(k1_tarski(U_1143),k1_tarski(U_1142)) ),
inference(clausify,[status(thm)],[f_341_3]) ).
fof(f_342_1,plain,
! [A,B] :
( r1_xboole_0(k1_tarski(A),k1_tarski(B))
| A = B ),
inference(fof_nnf,[status(thm)],[t17_zfmisc_1]) ).
fof(f_342_2,plain,
! [U_1145,U_1144] :
( r1_xboole_0(k1_tarski(U_1145),k1_tarski(U_1144))
| U_1145 = U_1144 ),
inference(variable_rename,[status(thm)],[f_342_1]) ).
fof(f_342_3,plain,
! [U_1145,U_1144] :
( r1_xboole_0(k1_tarski(U_1145),k1_tarski(U_1144))
| U_1145 = U_1144 ),
inference(definitional_conversion,[status(esa)],[f_342_2]) ).
cnf(f_342_4,plain,
( r1_xboole_0(k1_tarski(U_1145),k1_tarski(U_1144))
| U_1145 = U_1144 ),
inference(clausify,[status(thm)],[f_342_3]) ).
fof(f_343_1,plain,
! [A,B] :
( A = B
| k3_xboole_0(k1_tarski(A),k1_tarski(B)) != k1_tarski(A) ),
inference(fof_nnf,[status(thm)],[t18_zfmisc_1]) ).
fof(f_343_2,plain,
! [U_1147,U_1146] :
( U_1147 = U_1146
| k3_xboole_0(k1_tarski(U_1147),k1_tarski(U_1146)) != k1_tarski(U_1147) ),
inference(variable_rename,[status(thm)],[f_343_1]) ).
fof(f_343_3,plain,
! [U_1146,U_1147] :
( U_1147 = U_1146
| k3_xboole_0(k1_tarski(U_1147),k1_tarski(U_1146)) != k1_tarski(U_1147) ),
inference(definitional_conversion,[status(esa)],[f_343_2]) ).
cnf(f_343_4,plain,
( U_1147 = U_1146
| k3_xboole_0(k1_tarski(U_1147),k1_tarski(U_1146)) != k1_tarski(U_1147) ),
inference(clausify,[status(thm)],[f_343_3]) ).
fof(f_344_1,plain,
! [A,B] : k3_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_tarski(A),
inference(fof_nnf,[status(thm)],[t19_zfmisc_1]) ).
fof(f_344_2,plain,
! [U_1149,U_1148] : k3_xboole_0(k1_tarski(U_1149),k2_tarski(U_1149,U_1148)) = k1_tarski(U_1149),
inference(variable_rename,[status(thm)],[f_344_1]) ).
fof(f_344_3,plain,
! [U_1148,U_1149] : k3_xboole_0(k1_tarski(U_1149),k2_tarski(U_1149,U_1148)) = k1_tarski(U_1149),
inference(definitional_conversion,[status(esa)],[f_344_2]) ).
cnf(f_344_4,plain,
k3_xboole_0(k1_tarski(U_1149),k2_tarski(U_1149,U_1148)) = k1_tarski(U_1149),
inference(clausify,[status(thm)],[f_344_3]) ).
fof(f_345_1,plain,
! [A,B] :
( ( k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A)
| A = B )
& ( A != B
| k4_xboole_0(k1_tarski(A),k1_tarski(B)) != k1_tarski(A) ) ),
inference(fof_nnf,[status(thm)],[t20_zfmisc_1]) ).
fof(f_345_2,plain,
! [U_1151,U_1150] :
( ( k4_xboole_0(k1_tarski(U_1151),k1_tarski(U_1150)) = k1_tarski(U_1151)
| U_1151 = U_1150 )
& ( U_1151 != U_1150
| k4_xboole_0(k1_tarski(U_1151),k1_tarski(U_1150)) != k1_tarski(U_1151) ) ),
inference(variable_rename,[status(thm)],[f_345_1]) ).
fof(f_345_3,plain,
( ! [U_1155,U_1153] :
( k4_xboole_0(k1_tarski(U_1155),k1_tarski(U_1153)) = k1_tarski(U_1155)
| U_1155 = U_1153 )
& ! [U_1154,U_1152] :
( U_1154 != U_1152
| k4_xboole_0(k1_tarski(U_1154),k1_tarski(U_1152)) != k1_tarski(U_1154) ) ),
inference(miniscope,[status(thm)],[f_345_2]) ).
fof(f_345_4,plain,
( ! [U_1153,U_1155] :
( k4_xboole_0(k1_tarski(U_1155),k1_tarski(U_1153)) = k1_tarski(U_1155)
| U_1155 = U_1153 )
& ! [U_1152,U_1154] :
( U_1154 != U_1152
| k4_xboole_0(k1_tarski(U_1154),k1_tarski(U_1152)) != k1_tarski(U_1154) ) ),
inference(definitional_conversion,[status(esa)],[f_345_3]) ).
cnf(f_345_5,plain,
( U_1154 != U_1152
| k4_xboole_0(k1_tarski(U_1154),k1_tarski(U_1152)) != k1_tarski(U_1154) ),
inference(clausify,[status(thm)],[f_345_4]) ).
cnf(f_345_6,plain,
( k4_xboole_0(k1_tarski(U_1155),k1_tarski(U_1153)) = k1_tarski(U_1155)
| U_1155 = U_1153 ),
inference(clausify,[status(thm)],[f_345_4]) ).
fof(f_346_1,plain,
! [A,B] :
( A = B
| k4_xboole_0(k1_tarski(A),k1_tarski(B)) != k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t21_zfmisc_1]) ).
fof(f_346_2,plain,
! [U_1157,U_1156] :
( U_1157 = U_1156
| k4_xboole_0(k1_tarski(U_1157),k1_tarski(U_1156)) != k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_346_1]) ).
fof(f_346_3,plain,
! [U_1157,U_1156] :
( U_1157 = U_1156
| k4_xboole_0(k1_tarski(U_1157),k1_tarski(U_1156)) != k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_346_2]) ).
cnf(f_346_4,plain,
( U_1157 = U_1156
| k4_xboole_0(k1_tarski(U_1157),k1_tarski(U_1156)) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_346_3]) ).
fof(f_347_1,plain,
! [A,B] : k4_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t22_zfmisc_1]) ).
fof(f_347_2,plain,
! [U_1159,U_1158] : k4_xboole_0(k1_tarski(U_1159),k2_tarski(U_1159,U_1158)) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_347_1]) ).
fof(f_347_3,plain,
! [U_1158,U_1159] : k4_xboole_0(k1_tarski(U_1159),k2_tarski(U_1159,U_1158)) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_347_2]) ).
cnf(f_347_4,plain,
k4_xboole_0(k1_tarski(U_1159),k2_tarski(U_1159,U_1158)) = k1_xboole_0,
inference(clausify,[status(thm)],[f_347_3]) ).
fof(f_348_1,plain,
! [A,B] :
( k4_xboole_0(k2_tarski(A,B),k1_tarski(B)) = k1_tarski(A)
| A = B ),
inference(fof_nnf,[status(thm)],[t23_zfmisc_1]) ).
fof(f_348_2,plain,
! [U_1161,U_1160] :
( k4_xboole_0(k2_tarski(U_1161,U_1160),k1_tarski(U_1160)) = k1_tarski(U_1161)
| U_1161 = U_1160 ),
inference(variable_rename,[status(thm)],[f_348_1]) ).
fof(f_348_3,plain,
! [U_1160,U_1161] :
( k4_xboole_0(k2_tarski(U_1161,U_1160),k1_tarski(U_1160)) = k1_tarski(U_1161)
| U_1161 = U_1160 ),
inference(definitional_conversion,[status(esa)],[f_348_2]) ).
cnf(f_348_4,plain,
( k4_xboole_0(k2_tarski(U_1161,U_1160),k1_tarski(U_1160)) = k1_tarski(U_1161)
| U_1161 = U_1160 ),
inference(clausify,[status(thm)],[f_348_3]) ).
fof(f_349_1,plain,
! [A,B] :
( A = B
| ~ r1_tarski(k1_tarski(A),k1_tarski(B)) ),
inference(fof_nnf,[status(thm)],[t24_zfmisc_1]) ).
fof(f_349_2,plain,
! [U_1163,U_1162] :
( U_1163 = U_1162
| ~ r1_tarski(k1_tarski(U_1163),k1_tarski(U_1162)) ),
inference(variable_rename,[status(thm)],[f_349_1]) ).
fof(f_349_3,plain,
! [U_1163,U_1162] :
( U_1163 = U_1162
| ~ r1_tarski(k1_tarski(U_1163),k1_tarski(U_1162)) ),
inference(definitional_conversion,[status(esa)],[f_349_2]) ).
cnf(f_349_4,plain,
( U_1163 = U_1162
| ~ r1_tarski(k1_tarski(U_1163),k1_tarski(U_1162)) ),
inference(clausify,[status(thm)],[f_349_3]) ).
fof(f_350_1,plain,
! [A,B,C] :
( A = C
| A = B
| ~ r1_tarski(k1_tarski(A),k2_tarski(B,C)) ),
inference(fof_nnf,[status(thm)],[t25_zfmisc_1]) ).
fof(f_350_2,plain,
! [U_1166,U_1165,U_1164] :
( U_1166 = U_1164
| U_1166 = U_1165
| ~ r1_tarski(k1_tarski(U_1166),k2_tarski(U_1165,U_1164)) ),
inference(variable_rename,[status(thm)],[f_350_1]) ).
fof(f_350_3,plain,
! [U_1166,U_1165] :
( ! [U_1164] :
( U_1166 = U_1164
| ~ r1_tarski(k1_tarski(U_1166),k2_tarski(U_1165,U_1164)) )
| U_1166 = U_1165 ),
inference(miniscope,[status(thm)],[f_350_2]) ).
fof(f_350_4,plain,
! [U_1164,U_1165,U_1166] :
( U_1166 = U_1164
| ~ r1_tarski(k1_tarski(U_1166),k2_tarski(U_1165,U_1164))
| U_1166 = U_1165 ),
inference(definitional_conversion,[status(esa)],[f_350_3]) ).
cnf(f_350_5,plain,
( U_1166 = U_1164
| ~ r1_tarski(k1_tarski(U_1166),k2_tarski(U_1165,U_1164))
| U_1166 = U_1165 ),
inference(clausify,[status(thm)],[f_350_4]) ).
fof(f_351_1,plain,
! [A,B,C] :
( A = C
| ~ r1_tarski(k2_tarski(A,B),k1_tarski(C)) ),
inference(fof_nnf,[status(thm)],[t26_zfmisc_1]) ).
fof(f_351_2,plain,
! [U_1169,U_1168,U_1167] :
( U_1169 = U_1167
| ~ r1_tarski(k2_tarski(U_1169,U_1168),k1_tarski(U_1167)) ),
inference(variable_rename,[status(thm)],[f_351_1]) ).
fof(f_351_3,plain,
! [U_1168,U_1167,U_1169] :
( U_1169 = U_1167
| ~ r1_tarski(k2_tarski(U_1169,U_1168),k1_tarski(U_1167)) ),
inference(definitional_conversion,[status(esa)],[f_351_2]) ).
cnf(f_351_4,plain,
( U_1169 = U_1167
| ~ r1_tarski(k2_tarski(U_1169,U_1168),k1_tarski(U_1167)) ),
inference(clausify,[status(thm)],[f_351_3]) ).
fof(f_352_1,plain,
! [A,B,C] :
( k2_tarski(A,B) = k1_tarski(C)
| ~ r1_tarski(k2_tarski(A,B),k1_tarski(C)) ),
inference(fof_nnf,[status(thm)],[t27_zfmisc_1]) ).
fof(f_352_2,plain,
! [U_1172,U_1171,U_1170] :
( k2_tarski(U_1172,U_1171) = k1_tarski(U_1170)
| ~ r1_tarski(k2_tarski(U_1172,U_1171),k1_tarski(U_1170)) ),
inference(variable_rename,[status(thm)],[f_352_1]) ).
fof(f_352_3,plain,
! [U_1170,U_1171,U_1172] :
( k2_tarski(U_1172,U_1171) = k1_tarski(U_1170)
| ~ r1_tarski(k2_tarski(U_1172,U_1171),k1_tarski(U_1170)) ),
inference(definitional_conversion,[status(esa)],[f_352_2]) ).
cnf(f_352_4,plain,
( k2_tarski(U_1172,U_1171) = k1_tarski(U_1170)
| ~ r1_tarski(k2_tarski(U_1172,U_1171),k1_tarski(U_1170)) ),
inference(clausify,[status(thm)],[f_352_3]) ).
fof(f_353_1,plain,
! [A,B,C,D] :
( A = D
| A = C
| ~ r1_tarski(k2_tarski(A,B),k2_tarski(C,D)) ),
inference(fof_nnf,[status(thm)],[t28_zfmisc_1]) ).
fof(f_353_2,plain,
! [U_1176,U_1175,U_1174,U_1173] :
( U_1176 = U_1173
| U_1176 = U_1174
| ~ r1_tarski(k2_tarski(U_1176,U_1175),k2_tarski(U_1174,U_1173)) ),
inference(variable_rename,[status(thm)],[f_353_1]) ).
fof(f_353_3,plain,
! [U_1176,U_1175,U_1174] :
( ! [U_1173] :
( U_1176 = U_1173
| ~ r1_tarski(k2_tarski(U_1176,U_1175),k2_tarski(U_1174,U_1173)) )
| U_1176 = U_1174 ),
inference(miniscope,[status(thm)],[f_353_2]) ).
fof(f_353_4,plain,
! [U_1173,U_1174,U_1175,U_1176] :
( U_1176 = U_1173
| ~ r1_tarski(k2_tarski(U_1176,U_1175),k2_tarski(U_1174,U_1173))
| U_1176 = U_1174 ),
inference(definitional_conversion,[status(esa)],[f_353_3]) ).
cnf(f_353_5,plain,
( U_1176 = U_1173
| ~ r1_tarski(k2_tarski(U_1176,U_1175),k2_tarski(U_1174,U_1173))
| U_1176 = U_1174 ),
inference(clausify,[status(thm)],[f_353_4]) ).
fof(f_354_1,plain,
! [A,B] :
( k5_xboole_0(k1_tarski(A),k1_tarski(B)) = k2_tarski(A,B)
| A = B ),
inference(fof_nnf,[status(thm)],[t29_zfmisc_1]) ).
fof(f_354_2,plain,
! [U_1178,U_1177] :
( k5_xboole_0(k1_tarski(U_1178),k1_tarski(U_1177)) = k2_tarski(U_1178,U_1177)
| U_1178 = U_1177 ),
inference(variable_rename,[status(thm)],[f_354_1]) ).
fof(f_354_3,plain,
! [U_1177,U_1178] :
( k5_xboole_0(k1_tarski(U_1178),k1_tarski(U_1177)) = k2_tarski(U_1178,U_1177)
| U_1178 = U_1177 ),
inference(definitional_conversion,[status(esa)],[f_354_2]) ).
cnf(f_354_4,plain,
( k5_xboole_0(k1_tarski(U_1178),k1_tarski(U_1177)) = k2_tarski(U_1178,U_1177)
| U_1178 = U_1177 ),
inference(clausify,[status(thm)],[f_354_3]) ).
fof(f_355_1,plain,
! [A] : k1_zfmisc_1(k1_tarski(A)) = k2_tarski(k1_xboole_0,k1_tarski(A)),
inference(fof_nnf,[status(thm)],[t30_zfmisc_1]) ).
fof(f_355_2,plain,
! [U_1179] : k1_zfmisc_1(k1_tarski(U_1179)) = k2_tarski(k1_xboole_0,k1_tarski(U_1179)),
inference(variable_rename,[status(thm)],[f_355_1]) ).
fof(f_355_3,plain,
! [U_1179] : k1_zfmisc_1(k1_tarski(U_1179)) = k2_tarski(k1_xboole_0,k1_tarski(U_1179)),
inference(definitional_conversion,[status(esa)],[f_355_2]) ).
cnf(f_355_4,plain,
k1_zfmisc_1(k1_tarski(U_1179)) = k2_tarski(k1_xboole_0,k1_tarski(U_1179)),
inference(clausify,[status(thm)],[f_355_3]) ).
fof(f_356_1,plain,
! [A] : k3_tarski(k1_tarski(A)) = A,
inference(fof_nnf,[status(thm)],[t31_zfmisc_1]) ).
fof(f_356_2,plain,
! [U_1180] : k3_tarski(k1_tarski(U_1180)) = U_1180,
inference(variable_rename,[status(thm)],[f_356_1]) ).
fof(f_356_3,plain,
! [U_1180] : k3_tarski(k1_tarski(U_1180)) = U_1180,
inference(definitional_conversion,[status(esa)],[f_356_2]) ).
cnf(f_356_4,plain,
k3_tarski(k1_tarski(U_1180)) = U_1180,
inference(clausify,[status(thm)],[f_356_3]) ).
fof(f_357_1,plain,
! [A,B] : k3_tarski(k2_tarski(k1_tarski(A),k1_tarski(B))) = k2_tarski(A,B),
inference(fof_nnf,[status(thm)],[t32_zfmisc_1]) ).
fof(f_357_2,plain,
! [U_1182,U_1181] : k3_tarski(k2_tarski(k1_tarski(U_1182),k1_tarski(U_1181))) = k2_tarski(U_1182,U_1181),
inference(variable_rename,[status(thm)],[f_357_1]) ).
fof(f_357_3,plain,
! [U_1181,U_1182] : k3_tarski(k2_tarski(k1_tarski(U_1182),k1_tarski(U_1181))) = k2_tarski(U_1182,U_1181),
inference(definitional_conversion,[status(esa)],[f_357_2]) ).
cnf(f_357_4,plain,
k3_tarski(k2_tarski(k1_tarski(U_1182),k1_tarski(U_1181))) = k2_tarski(U_1182,U_1181),
inference(clausify,[status(thm)],[f_357_3]) ).
fof(f_358_1,plain,
! [A,B,C,D] :
( ( B = D
& A = C )
| k4_tarski(A,B) != k4_tarski(C,D) ),
inference(fof_nnf,[status(thm)],[t33_zfmisc_1]) ).
fof(f_358_2,plain,
! [U_1186,U_1185,U_1184,U_1183] :
( ( U_1185 = U_1183
& U_1186 = U_1184 )
| k4_tarski(U_1186,U_1185) != k4_tarski(U_1184,U_1183) ),
inference(variable_rename,[status(thm)],[f_358_1]) ).
fof(f_358_3,plain,
( ! [U_1185,U_1186,U_1183,U_1184] :
( U_1185 = U_1183
| ~ sP99(U_1185,U_1186,U_1183,U_1184) )
& ! [U_1185,U_1186,U_1183,U_1184] :
( U_1186 = U_1184
| ~ sP99(U_1185,U_1186,U_1183,U_1184) )
& ! [U_1185,U_1186,U_1183,U_1184] :
( sP99(U_1185,U_1186,U_1183,U_1184)
| k4_tarski(U_1186,U_1185) != k4_tarski(U_1184,U_1183) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP99])],[f_358_2]) ).
cnf(f_358_4,plain,
( sP99(U_1185,U_1186,U_1183,U_1184)
| k4_tarski(U_1186,U_1185) != k4_tarski(U_1184,U_1183) ),
inference(clausify,[status(thm)],[f_358_3]) ).
cnf(f_358_5,plain,
( U_1186 = U_1184
| ~ sP99(U_1185,U_1186,U_1183,U_1184) ),
inference(clausify,[status(thm)],[f_358_3]) ).
cnf(f_358_6,plain,
( U_1185 = U_1183
| ~ sP99(U_1185,U_1186,U_1183,U_1184) ),
inference(clausify,[status(thm)],[f_358_3]) ).
fof(f_359_1,plain,
! [A,B,C,D] :
( ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D)))
| B != D
| A != C )
& ( ( B = D
& A = C )
| ~ r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D))) ) ),
inference(fof_nnf,[status(thm)],[t34_zfmisc_1]) ).
fof(f_359_2,plain,
! [U_1190,U_1189,U_1188,U_1187] :
( ( r2_hidden(k4_tarski(U_1190,U_1189),k2_zfmisc_1(k1_tarski(U_1188),k1_tarski(U_1187)))
| U_1189 != U_1187
| U_1190 != U_1188 )
& ( ( U_1189 = U_1187
& U_1190 = U_1188 )
| ~ r2_hidden(k4_tarski(U_1190,U_1189),k2_zfmisc_1(k1_tarski(U_1188),k1_tarski(U_1187))) ) ),
inference(variable_rename,[status(thm)],[f_359_1]) ).
fof(f_359_3,plain,
( ! [U_1198,U_1196,U_1194,U_1192] :
( r2_hidden(k4_tarski(U_1198,U_1196),k2_zfmisc_1(k1_tarski(U_1194),k1_tarski(U_1192)))
| U_1196 != U_1192
| U_1198 != U_1194 )
& ! [U_1197,U_1195,U_1193,U_1191] :
( ( U_1195 = U_1191
& U_1197 = U_1193 )
| ~ r2_hidden(k4_tarski(U_1197,U_1195),k2_zfmisc_1(k1_tarski(U_1193),k1_tarski(U_1191))) ) ),
inference(miniscope,[status(thm)],[f_359_2]) ).
fof(f_359_4,plain,
( ! [U_1191,U_1195,U_1197,U_1193] :
( U_1195 = U_1191
| ~ sP100(U_1191,U_1195,U_1197,U_1193) )
& ! [U_1191,U_1195,U_1197,U_1193] :
( U_1197 = U_1193
| ~ sP100(U_1191,U_1195,U_1197,U_1193) )
& ! [U_1194,U_1192,U_1196,U_1198] :
( r2_hidden(k4_tarski(U_1198,U_1196),k2_zfmisc_1(k1_tarski(U_1194),k1_tarski(U_1192)))
| U_1196 != U_1192
| U_1198 != U_1194 )
& ! [U_1191,U_1195,U_1197,U_1193] :
( sP100(U_1191,U_1195,U_1197,U_1193)
| ~ r2_hidden(k4_tarski(U_1197,U_1195),k2_zfmisc_1(k1_tarski(U_1193),k1_tarski(U_1191))) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP100])],[f_359_3]) ).
cnf(f_359_5,plain,
( sP100(U_1191,U_1195,U_1197,U_1193)
| ~ r2_hidden(k4_tarski(U_1197,U_1195),k2_zfmisc_1(k1_tarski(U_1193),k1_tarski(U_1191))) ),
inference(clausify,[status(thm)],[f_359_4]) ).
cnf(f_359_6,plain,
( r2_hidden(k4_tarski(U_1198,U_1196),k2_zfmisc_1(k1_tarski(U_1194),k1_tarski(U_1192)))
| U_1196 != U_1192
| U_1198 != U_1194 ),
inference(clausify,[status(thm)],[f_359_4]) ).
cnf(f_359_7,plain,
( U_1197 = U_1193
| ~ sP100(U_1191,U_1195,U_1197,U_1193) ),
inference(clausify,[status(thm)],[f_359_4]) ).
cnf(f_359_8,plain,
( U_1195 = U_1191
| ~ sP100(U_1191,U_1195,U_1197,U_1193) ),
inference(clausify,[status(thm)],[f_359_4]) ).
fof(f_360_1,plain,
! [A,B] : k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) = k1_tarski(k4_tarski(A,B)),
inference(fof_nnf,[status(thm)],[t35_zfmisc_1]) ).
fof(f_360_2,plain,
! [U_1200,U_1199] : k2_zfmisc_1(k1_tarski(U_1200),k1_tarski(U_1199)) = k1_tarski(k4_tarski(U_1200,U_1199)),
inference(variable_rename,[status(thm)],[f_360_1]) ).
fof(f_360_3,plain,
! [U_1199,U_1200] : k2_zfmisc_1(k1_tarski(U_1200),k1_tarski(U_1199)) = k1_tarski(k4_tarski(U_1200,U_1199)),
inference(definitional_conversion,[status(esa)],[f_360_2]) ).
cnf(f_360_4,plain,
k2_zfmisc_1(k1_tarski(U_1200),k1_tarski(U_1199)) = k1_tarski(k4_tarski(U_1200,U_1199)),
inference(clausify,[status(thm)],[f_360_3]) ).
fof(f_361_1,plain,
! [A,B,C] :
( k2_zfmisc_1(k2_tarski(A,B),k1_tarski(C)) = k2_tarski(k4_tarski(A,C),k4_tarski(B,C))
& k2_zfmisc_1(k1_tarski(A),k2_tarski(B,C)) = k2_tarski(k4_tarski(A,B),k4_tarski(A,C)) ),
inference(fof_nnf,[status(thm)],[t36_zfmisc_1]) ).
fof(f_361_2,plain,
! [U_1203,U_1202,U_1201] :
( k2_zfmisc_1(k2_tarski(U_1203,U_1202),k1_tarski(U_1201)) = k2_tarski(k4_tarski(U_1203,U_1201),k4_tarski(U_1202,U_1201))
& k2_zfmisc_1(k1_tarski(U_1203),k2_tarski(U_1202,U_1201)) = k2_tarski(k4_tarski(U_1203,U_1202),k4_tarski(U_1203,U_1201)) ),
inference(variable_rename,[status(thm)],[f_361_1]) ).
fof(f_361_3,plain,
( ! [U_1209,U_1207,U_1205] : k2_zfmisc_1(k2_tarski(U_1209,U_1207),k1_tarski(U_1205)) = k2_tarski(k4_tarski(U_1209,U_1205),k4_tarski(U_1207,U_1205))
& ! [U_1208,U_1206,U_1204] : k2_zfmisc_1(k1_tarski(U_1208),k2_tarski(U_1206,U_1204)) = k2_tarski(k4_tarski(U_1208,U_1206),k4_tarski(U_1208,U_1204)) ),
inference(miniscope,[status(thm)],[f_361_2]) ).
fof(f_361_4,plain,
( ! [U_1207,U_1205,U_1209] : k2_zfmisc_1(k2_tarski(U_1209,U_1207),k1_tarski(U_1205)) = k2_tarski(k4_tarski(U_1209,U_1205),k4_tarski(U_1207,U_1205))
& ! [U_1206,U_1204,U_1208] : k2_zfmisc_1(k1_tarski(U_1208),k2_tarski(U_1206,U_1204)) = k2_tarski(k4_tarski(U_1208,U_1206),k4_tarski(U_1208,U_1204)) ),
inference(definitional_conversion,[status(esa)],[f_361_3]) ).
cnf(f_361_5,plain,
k2_zfmisc_1(k1_tarski(U_1208),k2_tarski(U_1206,U_1204)) = k2_tarski(k4_tarski(U_1208,U_1206),k4_tarski(U_1208,U_1204)),
inference(clausify,[status(thm)],[f_361_4]) ).
cnf(f_361_6,plain,
k2_zfmisc_1(k2_tarski(U_1209,U_1207),k1_tarski(U_1205)) = k2_tarski(k4_tarski(U_1209,U_1205),k4_tarski(U_1207,U_1205)),
inference(clausify,[status(thm)],[f_361_4]) ).
fof(f_362_1,plain,
! [A,B] :
( ( r1_tarski(k1_tarski(A),B)
| ~ r2_hidden(A,B) )
& ( r2_hidden(A,B)
| ~ r1_tarski(k1_tarski(A),B) ) ),
inference(fof_nnf,[status(thm)],[t37_zfmisc_1]) ).
fof(f_362_2,plain,
! [U_1211,U_1210] :
( ( r1_tarski(k1_tarski(U_1211),U_1210)
| ~ r2_hidden(U_1211,U_1210) )
& ( r2_hidden(U_1211,U_1210)
| ~ r1_tarski(k1_tarski(U_1211),U_1210) ) ),
inference(variable_rename,[status(thm)],[f_362_1]) ).
fof(f_362_3,plain,
( ! [U_1215,U_1213] :
( r1_tarski(k1_tarski(U_1215),U_1213)
| ~ r2_hidden(U_1215,U_1213) )
& ! [U_1214,U_1212] :
( r2_hidden(U_1214,U_1212)
| ~ r1_tarski(k1_tarski(U_1214),U_1212) ) ),
inference(miniscope,[status(thm)],[f_362_2]) ).
fof(f_362_4,plain,
( ! [U_1213,U_1215] :
( r1_tarski(k1_tarski(U_1215),U_1213)
| ~ r2_hidden(U_1215,U_1213) )
& ! [U_1212,U_1214] :
( r2_hidden(U_1214,U_1212)
| ~ r1_tarski(k1_tarski(U_1214),U_1212) ) ),
inference(definitional_conversion,[status(esa)],[f_362_3]) ).
cnf(f_362_5,plain,
( r2_hidden(U_1214,U_1212)
| ~ r1_tarski(k1_tarski(U_1214),U_1212) ),
inference(clausify,[status(thm)],[f_362_4]) ).
cnf(f_362_6,plain,
( r1_tarski(k1_tarski(U_1215),U_1213)
| ~ r2_hidden(U_1215,U_1213) ),
inference(clausify,[status(thm)],[f_362_4]) ).
fof(f_363_1,plain,
! [A,B,C] :
( ( r1_tarski(k2_tarski(A,B),C)
| ~ r2_hidden(B,C)
| ~ r2_hidden(A,C) )
& ( ( r2_hidden(B,C)
& r2_hidden(A,C) )
| ~ r1_tarski(k2_tarski(A,B),C) ) ),
inference(fof_nnf,[status(thm)],[t38_zfmisc_1]) ).
fof(f_363_2,plain,
! [U_1218,U_1217,U_1216] :
( ( r1_tarski(k2_tarski(U_1218,U_1217),U_1216)
| ~ r2_hidden(U_1217,U_1216)
| ~ r2_hidden(U_1218,U_1216) )
& ( ( r2_hidden(U_1217,U_1216)
& r2_hidden(U_1218,U_1216) )
| ~ r1_tarski(k2_tarski(U_1218,U_1217),U_1216) ) ),
inference(variable_rename,[status(thm)],[f_363_1]) ).
fof(f_363_3,plain,
( ! [U_1224,U_1222,U_1220] :
( r1_tarski(k2_tarski(U_1224,U_1222),U_1220)
| ~ r2_hidden(U_1222,U_1220)
| ~ r2_hidden(U_1224,U_1220) )
& ! [U_1223,U_1221,U_1219] :
( ( r2_hidden(U_1221,U_1219)
& r2_hidden(U_1223,U_1219) )
| ~ r1_tarski(k2_tarski(U_1223,U_1221),U_1219) ) ),
inference(miniscope,[status(thm)],[f_363_2]) ).
fof(f_363_4,plain,
( ! [U_1223,U_1219,U_1221] :
( r2_hidden(U_1221,U_1219)
| ~ sP101(U_1223,U_1219,U_1221) )
& ! [U_1223,U_1219,U_1221] :
( r2_hidden(U_1223,U_1219)
| ~ sP101(U_1223,U_1219,U_1221) )
& ! [U_1224,U_1222,U_1220] :
( r1_tarski(k2_tarski(U_1224,U_1222),U_1220)
| ~ r2_hidden(U_1222,U_1220)
| ~ r2_hidden(U_1224,U_1220) )
& ! [U_1223,U_1219,U_1221] :
( sP101(U_1223,U_1219,U_1221)
| ~ r1_tarski(k2_tarski(U_1223,U_1221),U_1219) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP101])],[f_363_3]) ).
cnf(f_363_5,plain,
( sP101(U_1223,U_1219,U_1221)
| ~ r1_tarski(k2_tarski(U_1223,U_1221),U_1219) ),
inference(clausify,[status(thm)],[f_363_4]) ).
cnf(f_363_6,plain,
( r1_tarski(k2_tarski(U_1224,U_1222),U_1220)
| ~ r2_hidden(U_1222,U_1220)
| ~ r2_hidden(U_1224,U_1220) ),
inference(clausify,[status(thm)],[f_363_4]) ).
cnf(f_363_7,plain,
( r2_hidden(U_1223,U_1219)
| ~ sP101(U_1223,U_1219,U_1221) ),
inference(clausify,[status(thm)],[f_363_4]) ).
cnf(f_363_8,plain,
( r2_hidden(U_1221,U_1219)
| ~ sP101(U_1223,U_1219,U_1221) ),
inference(clausify,[status(thm)],[f_363_4]) ).
fof(f_364_1,plain,
! [A,B] :
( ( r1_tarski(A,k1_tarski(B))
| ( A != k1_tarski(B)
& A != k1_xboole_0 ) )
& ( A = k1_tarski(B)
| A = k1_xboole_0
| ~ r1_tarski(A,k1_tarski(B)) ) ),
inference(fof_nnf,[status(thm)],[t39_zfmisc_1]) ).
fof(f_364_2,plain,
! [U_1226,U_1225] :
( ( r1_tarski(U_1226,k1_tarski(U_1225))
| ( U_1226 != k1_tarski(U_1225)
& U_1226 != k1_xboole_0 ) )
& ( U_1226 = k1_tarski(U_1225)
| U_1226 = k1_xboole_0
| ~ r1_tarski(U_1226,k1_tarski(U_1225)) ) ),
inference(variable_rename,[status(thm)],[f_364_1]) ).
fof(f_364_3,plain,
( ! [U_1230,U_1228] :
( r1_tarski(U_1230,k1_tarski(U_1228))
| ( U_1230 != k1_tarski(U_1228)
& U_1230 != k1_xboole_0 ) )
& ! [U_1229,U_1227] :
( U_1229 = k1_tarski(U_1227)
| U_1229 = k1_xboole_0
| ~ r1_tarski(U_1229,k1_tarski(U_1227)) ) ),
inference(miniscope,[status(thm)],[f_364_2]) ).
fof(f_364_4,plain,
( ! [U_1228,U_1230] :
( U_1230 != k1_tarski(U_1228)
| ~ sP102(U_1228,U_1230) )
& ! [U_1228,U_1230] :
( U_1230 != k1_xboole_0
| ~ sP102(U_1228,U_1230) )
& ! [U_1228,U_1230] :
( r1_tarski(U_1230,k1_tarski(U_1228))
| sP102(U_1228,U_1230) )
& ! [U_1227,U_1229] :
( U_1229 = k1_tarski(U_1227)
| U_1229 = k1_xboole_0
| ~ r1_tarski(U_1229,k1_tarski(U_1227)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP102])],[f_364_3]) ).
cnf(f_364_5,plain,
( U_1229 = k1_tarski(U_1227)
| U_1229 = k1_xboole_0
| ~ r1_tarski(U_1229,k1_tarski(U_1227)) ),
inference(clausify,[status(thm)],[f_364_4]) ).
cnf(f_364_6,plain,
( r1_tarski(U_1230,k1_tarski(U_1228))
| sP102(U_1228,U_1230) ),
inference(clausify,[status(thm)],[f_364_4]) ).
cnf(f_364_7,plain,
( U_1230 != k1_xboole_0
| ~ sP102(U_1228,U_1230) ),
inference(clausify,[status(thm)],[f_364_4]) ).
cnf(f_364_8,plain,
( U_1230 != k1_tarski(U_1228)
| ~ sP102(U_1228,U_1230) ),
inference(clausify,[status(thm)],[f_364_4]) ).
fof(f_365_1,plain,
! [A,B,C] :
( r1_tarski(A,k4_xboole_0(B,k1_tarski(C)))
| r2_hidden(C,A)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t40_zfmisc_1]) ).
fof(f_365_2,plain,
! [U_1233,U_1232,U_1231] :
( r1_tarski(U_1233,k4_xboole_0(U_1232,k1_tarski(U_1231)))
| r2_hidden(U_1231,U_1233)
| ~ r1_tarski(U_1233,U_1232) ),
inference(variable_rename,[status(thm)],[f_365_1]) ).
fof(f_365_3,plain,
! [U_1233,U_1232] :
( ! [U_1231] :
( r1_tarski(U_1233,k4_xboole_0(U_1232,k1_tarski(U_1231)))
| r2_hidden(U_1231,U_1233) )
| ~ r1_tarski(U_1233,U_1232) ),
inference(miniscope,[status(thm)],[f_365_2]) ).
fof(f_365_4,plain,
! [U_1232,U_1233,U_1231] :
( r1_tarski(U_1233,k4_xboole_0(U_1232,k1_tarski(U_1231)))
| r2_hidden(U_1231,U_1233)
| ~ r1_tarski(U_1233,U_1232) ),
inference(definitional_conversion,[status(esa)],[f_365_3]) ).
cnf(f_365_5,plain,
( r1_tarski(U_1233,k4_xboole_0(U_1232,k1_tarski(U_1231)))
| r2_hidden(U_1231,U_1233)
| ~ r1_tarski(U_1233,U_1232) ),
inference(clausify,[status(thm)],[f_365_4]) ).
fof(f_366_1,plain,
! [A,B] :
( ? [C] :
( C != B
& r2_hidden(C,A) )
| A = k1_xboole_0
| A = k1_tarski(B) ),
inference(fof_nnf,[status(thm)],[t41_zfmisc_1]) ).
fof(f_366_2,plain,
! [U_1236,U_1235] :
( ? [U_1234] :
( U_1234 != U_1235
& r2_hidden(U_1234,U_1236) )
| U_1236 = k1_xboole_0
| U_1236 = k1_tarski(U_1235) ),
inference(variable_rename,[status(thm)],[f_366_1]) ).
fof(f_366_3,plain,
! [U_1236] :
( ! [U_1235] :
( ? [U_1234] :
( U_1234 != U_1235
& r2_hidden(U_1234,U_1236) )
| U_1236 = k1_tarski(U_1235) )
| U_1236 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_366_2]) ).
fof(f_366_4,plain,
! [U_1236] :
( ! [U_1235] :
( ( sK73(U_1236,U_1235) != U_1235
& r2_hidden(sK73(U_1236,U_1235),U_1236) )
| U_1236 = k1_tarski(U_1235) )
| U_1236 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_1234,sK73(U_1236,U_1235))],[f_366_3]) ).
fof(f_366_5,plain,
( ! [U_1235,U_1236] :
( sK73(U_1236,U_1235) != U_1235
| ~ sP103(U_1235,U_1236) )
& ! [U_1235,U_1236] :
( r2_hidden(sK73(U_1236,U_1235),U_1236)
| ~ sP103(U_1235,U_1236) )
& ! [U_1235,U_1236] :
( sP103(U_1235,U_1236)
| U_1236 = k1_tarski(U_1235)
| U_1236 = k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP103])],[f_366_4]) ).
cnf(f_366_6,plain,
( sP103(U_1235,U_1236)
| U_1236 = k1_tarski(U_1235)
| U_1236 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_366_5]) ).
cnf(f_366_7,plain,
( r2_hidden(sK73(U_1236,U_1235),U_1236)
| ~ sP103(U_1235,U_1236) ),
inference(clausify,[status(thm)],[f_366_5]) ).
cnf(f_366_8,plain,
( sK73(U_1236,U_1235) != U_1235
| ~ sP103(U_1235,U_1236) ),
inference(clausify,[status(thm)],[f_366_5]) ).
fof(f_367_1,plain,
! [A,B,C] :
( ( r1_tarski(A,k2_tarski(B,C))
| ( A != k2_tarski(B,C)
& A != k1_tarski(C)
& A != k1_tarski(B)
& A != k1_xboole_0 ) )
& ( A = k2_tarski(B,C)
| A = k1_tarski(C)
| A = k1_tarski(B)
| A = k1_xboole_0
| ~ r1_tarski(A,k2_tarski(B,C)) ) ),
inference(fof_nnf,[status(thm)],[t42_zfmisc_1]) ).
fof(f_367_2,plain,
! [U_1239,U_1238,U_1237] :
( ( r1_tarski(U_1239,k2_tarski(U_1238,U_1237))
| ( U_1239 != k2_tarski(U_1238,U_1237)
& U_1239 != k1_tarski(U_1237)
& U_1239 != k1_tarski(U_1238)
& U_1239 != k1_xboole_0 ) )
& ( U_1239 = k2_tarski(U_1238,U_1237)
| U_1239 = k1_tarski(U_1237)
| U_1239 = k1_tarski(U_1238)
| U_1239 = k1_xboole_0
| ~ r1_tarski(U_1239,k2_tarski(U_1238,U_1237)) ) ),
inference(variable_rename,[status(thm)],[f_367_1]) ).
fof(f_367_3,plain,
( ! [U_1245,U_1243,U_1241] :
( r1_tarski(U_1245,k2_tarski(U_1243,U_1241))
| ( U_1245 != k2_tarski(U_1243,U_1241)
& U_1245 != k1_tarski(U_1241)
& U_1245 != k1_tarski(U_1243)
& U_1245 != k1_xboole_0 ) )
& ! [U_1244,U_1242,U_1240] :
( U_1244 = k2_tarski(U_1242,U_1240)
| U_1244 = k1_tarski(U_1240)
| U_1244 = k1_tarski(U_1242)
| U_1244 = k1_xboole_0
| ~ r1_tarski(U_1244,k2_tarski(U_1242,U_1240)) ) ),
inference(miniscope,[status(thm)],[f_367_2]) ).
fof(f_367_4,plain,
( ! [U_1243,U_1245,U_1241] :
( U_1245 != k2_tarski(U_1243,U_1241)
| ~ sP104(U_1243,U_1245,U_1241) )
& ! [U_1243,U_1245,U_1241] :
( U_1245 != k1_tarski(U_1241)
| ~ sP104(U_1243,U_1245,U_1241) )
& ! [U_1243,U_1245,U_1241] :
( U_1245 != k1_tarski(U_1243)
| ~ sP104(U_1243,U_1245,U_1241) )
& ! [U_1243,U_1245,U_1241] :
( U_1245 != k1_xboole_0
| ~ sP104(U_1243,U_1245,U_1241) )
& ! [U_1243,U_1245,U_1241] :
( r1_tarski(U_1245,k2_tarski(U_1243,U_1241))
| sP104(U_1243,U_1245,U_1241) )
& ! [U_1242,U_1240,U_1244] :
( U_1244 = k2_tarski(U_1242,U_1240)
| U_1244 = k1_tarski(U_1240)
| U_1244 = k1_tarski(U_1242)
| U_1244 = k1_xboole_0
| ~ r1_tarski(U_1244,k2_tarski(U_1242,U_1240)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP104])],[f_367_3]) ).
cnf(f_367_5,plain,
( U_1244 = k2_tarski(U_1242,U_1240)
| U_1244 = k1_tarski(U_1240)
| U_1244 = k1_tarski(U_1242)
| U_1244 = k1_xboole_0
| ~ r1_tarski(U_1244,k2_tarski(U_1242,U_1240)) ),
inference(clausify,[status(thm)],[f_367_4]) ).
cnf(f_367_6,plain,
( r1_tarski(U_1245,k2_tarski(U_1243,U_1241))
| sP104(U_1243,U_1245,U_1241) ),
inference(clausify,[status(thm)],[f_367_4]) ).
cnf(f_367_7,plain,
( U_1245 != k1_xboole_0
| ~ sP104(U_1243,U_1245,U_1241) ),
inference(clausify,[status(thm)],[f_367_4]) ).
cnf(f_367_8,plain,
( U_1245 != k1_tarski(U_1243)
| ~ sP104(U_1243,U_1245,U_1241) ),
inference(clausify,[status(thm)],[f_367_4]) ).
cnf(f_367_9,plain,
( U_1245 != k1_tarski(U_1241)
| ~ sP104(U_1243,U_1245,U_1241) ),
inference(clausify,[status(thm)],[f_367_4]) ).
cnf(f_367_10,plain,
( U_1245 != k2_tarski(U_1243,U_1241)
| ~ sP104(U_1243,U_1245,U_1241) ),
inference(clausify,[status(thm)],[f_367_4]) ).
fof(f_368_1,plain,
! [A,B,C] :
( ( C = k1_xboole_0
& B = k1_tarski(A) )
| ( C = k1_tarski(A)
& B = k1_xboole_0 )
| ( C = k1_tarski(A)
& B = k1_tarski(A) )
| k1_tarski(A) != k2_xboole_0(B,C) ),
inference(fof_nnf,[status(thm)],[t43_zfmisc_1]) ).
fof(f_368_2,plain,
! [U_1248,U_1247,U_1246] :
( ( U_1246 = k1_xboole_0
& U_1247 = k1_tarski(U_1248) )
| ( U_1246 = k1_tarski(U_1248)
& U_1247 = k1_xboole_0 )
| ( U_1246 = k1_tarski(U_1248)
& U_1247 = k1_tarski(U_1248) )
| k1_tarski(U_1248) != k2_xboole_0(U_1247,U_1246) ),
inference(variable_rename,[status(thm)],[f_368_1]) ).
fof(f_368_3,plain,
( ! [U_1247,U_1246,U_1248] :
( U_1246 = k1_xboole_0
| ~ sP107(U_1247,U_1246,U_1248) )
& ! [U_1247,U_1246,U_1248] :
( U_1247 = k1_tarski(U_1248)
| ~ sP107(U_1247,U_1246,U_1248) )
& ! [U_1247,U_1246,U_1248] :
( U_1246 = k1_tarski(U_1248)
| ~ sP106(U_1247,U_1246,U_1248) )
& ! [U_1247,U_1246,U_1248] :
( U_1247 = k1_xboole_0
| ~ sP106(U_1247,U_1246,U_1248) )
& ! [U_1247,U_1246,U_1248] :
( U_1246 = k1_tarski(U_1248)
| ~ sP105(U_1247,U_1246,U_1248) )
& ! [U_1247,U_1246,U_1248] :
( U_1247 = k1_tarski(U_1248)
| ~ sP105(U_1247,U_1246,U_1248) )
& ! [U_1247,U_1246,U_1248] :
( sP107(U_1247,U_1246,U_1248)
| sP106(U_1247,U_1246,U_1248)
| sP105(U_1247,U_1246,U_1248)
| k1_tarski(U_1248) != k2_xboole_0(U_1247,U_1246) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP105,sP106,sP107])],[f_368_2]) ).
cnf(f_368_4,plain,
( sP107(U_1247,U_1246,U_1248)
| sP106(U_1247,U_1246,U_1248)
| sP105(U_1247,U_1246,U_1248)
| k1_tarski(U_1248) != k2_xboole_0(U_1247,U_1246) ),
inference(clausify,[status(thm)],[f_368_3]) ).
cnf(f_368_5,plain,
( U_1247 = k1_tarski(U_1248)
| ~ sP105(U_1247,U_1246,U_1248) ),
inference(clausify,[status(thm)],[f_368_3]) ).
cnf(f_368_6,plain,
( U_1246 = k1_tarski(U_1248)
| ~ sP105(U_1247,U_1246,U_1248) ),
inference(clausify,[status(thm)],[f_368_3]) ).
cnf(f_368_7,plain,
( U_1247 = k1_xboole_0
| ~ sP106(U_1247,U_1246,U_1248) ),
inference(clausify,[status(thm)],[f_368_3]) ).
cnf(f_368_8,plain,
( U_1246 = k1_tarski(U_1248)
| ~ sP106(U_1247,U_1246,U_1248) ),
inference(clausify,[status(thm)],[f_368_3]) ).
cnf(f_368_9,plain,
( U_1247 = k1_tarski(U_1248)
| ~ sP107(U_1247,U_1246,U_1248) ),
inference(clausify,[status(thm)],[f_368_3]) ).
cnf(f_368_10,plain,
( U_1246 = k1_xboole_0
| ~ sP107(U_1247,U_1246,U_1248) ),
inference(clausify,[status(thm)],[f_368_3]) ).
fof(f_369_1,plain,
! [A,B,C] :
( C = k1_xboole_0
| B = k1_xboole_0
| B = C
| k1_tarski(A) != k2_xboole_0(B,C) ),
inference(fof_nnf,[status(thm)],[t44_zfmisc_1]) ).
fof(f_369_2,plain,
! [U_1251,U_1250,U_1249] :
( U_1249 = k1_xboole_0
| U_1250 = k1_xboole_0
| U_1250 = U_1249
| k1_tarski(U_1251) != k2_xboole_0(U_1250,U_1249) ),
inference(variable_rename,[status(thm)],[f_369_1]) ).
fof(f_369_3,plain,
! [U_1251,U_1250] :
( ! [U_1249] :
( U_1249 = k1_xboole_0
| U_1250 = U_1249
| k1_tarski(U_1251) != k2_xboole_0(U_1250,U_1249) )
| U_1250 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_369_2]) ).
fof(f_369_4,plain,
! [U_1251,U_1250,U_1249] :
( U_1249 = k1_xboole_0
| U_1250 = U_1249
| k1_tarski(U_1251) != k2_xboole_0(U_1250,U_1249)
| U_1250 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_369_3]) ).
cnf(f_369_5,plain,
( U_1249 = k1_xboole_0
| U_1250 = U_1249
| k1_tarski(U_1251) != k2_xboole_0(U_1250,U_1249)
| U_1250 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_369_4]) ).
fof(f_370_1,plain,
! [A,B] :
( r2_hidden(A,B)
| ~ r1_tarski(k2_xboole_0(k1_tarski(A),B),B) ),
inference(fof_nnf,[status(thm)],[t45_zfmisc_1]) ).
fof(f_370_2,plain,
! [U_1253,U_1252] :
( r2_hidden(U_1253,U_1252)
| ~ r1_tarski(k2_xboole_0(k1_tarski(U_1253),U_1252),U_1252) ),
inference(variable_rename,[status(thm)],[f_370_1]) ).
fof(f_370_3,plain,
! [U_1252,U_1253] :
( r2_hidden(U_1253,U_1252)
| ~ r1_tarski(k2_xboole_0(k1_tarski(U_1253),U_1252),U_1252) ),
inference(definitional_conversion,[status(esa)],[f_370_2]) ).
cnf(f_370_4,plain,
( r2_hidden(U_1253,U_1252)
| ~ r1_tarski(k2_xboole_0(k1_tarski(U_1253),U_1252),U_1252) ),
inference(clausify,[status(thm)],[f_370_3]) ).
fof(f_371_1,plain,
! [A,B] :
( k2_xboole_0(k1_tarski(A),B) = B
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t46_zfmisc_1]) ).
fof(f_371_2,plain,
! [U_1255,U_1254] :
( k2_xboole_0(k1_tarski(U_1255),U_1254) = U_1254
| ~ r2_hidden(U_1255,U_1254) ),
inference(variable_rename,[status(thm)],[f_371_1]) ).
fof(f_371_3,plain,
! [U_1254,U_1255] :
( k2_xboole_0(k1_tarski(U_1255),U_1254) = U_1254
| ~ r2_hidden(U_1255,U_1254) ),
inference(definitional_conversion,[status(esa)],[f_371_2]) ).
cnf(f_371_4,plain,
( k2_xboole_0(k1_tarski(U_1255),U_1254) = U_1254
| ~ r2_hidden(U_1255,U_1254) ),
inference(clausify,[status(thm)],[f_371_3]) ).
fof(f_372_1,plain,
! [A,B,C] :
( r2_hidden(A,C)
| ~ r1_tarski(k2_xboole_0(k2_tarski(A,B),C),C) ),
inference(fof_nnf,[status(thm)],[t47_zfmisc_1]) ).
fof(f_372_2,plain,
! [U_1258,U_1257,U_1256] :
( r2_hidden(U_1258,U_1256)
| ~ r1_tarski(k2_xboole_0(k2_tarski(U_1258,U_1257),U_1256),U_1256) ),
inference(variable_rename,[status(thm)],[f_372_1]) ).
fof(f_372_3,plain,
! [U_1256,U_1257,U_1258] :
( r2_hidden(U_1258,U_1256)
| ~ r1_tarski(k2_xboole_0(k2_tarski(U_1258,U_1257),U_1256),U_1256) ),
inference(definitional_conversion,[status(esa)],[f_372_2]) ).
cnf(f_372_4,plain,
( r2_hidden(U_1258,U_1256)
| ~ r1_tarski(k2_xboole_0(k2_tarski(U_1258,U_1257),U_1256),U_1256) ),
inference(clausify,[status(thm)],[f_372_3]) ).
fof(f_373_1,plain,
! [A,B,C] :
( k2_xboole_0(k2_tarski(A,C),B) = B
| ~ r2_hidden(C,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t48_zfmisc_1]) ).
fof(f_373_2,plain,
! [U_1261,U_1260,U_1259] :
( k2_xboole_0(k2_tarski(U_1261,U_1259),U_1260) = U_1260
| ~ r2_hidden(U_1259,U_1260)
| ~ r2_hidden(U_1261,U_1260) ),
inference(variable_rename,[status(thm)],[f_373_1]) ).
fof(f_373_3,plain,
! [U_1259,U_1260,U_1261] :
( k2_xboole_0(k2_tarski(U_1261,U_1259),U_1260) = U_1260
| ~ r2_hidden(U_1259,U_1260)
| ~ r2_hidden(U_1261,U_1260) ),
inference(definitional_conversion,[status(esa)],[f_373_2]) ).
cnf(f_373_4,plain,
( k2_xboole_0(k2_tarski(U_1261,U_1259),U_1260) = U_1260
| ~ r2_hidden(U_1259,U_1260)
| ~ r2_hidden(U_1261,U_1260) ),
inference(clausify,[status(thm)],[f_373_3]) ).
fof(f_374_1,plain,
! [A,B] : k2_xboole_0(k1_tarski(A),B) != k1_xboole_0,
inference(fof_nnf,[status(thm)],[t49_zfmisc_1]) ).
fof(f_374_2,plain,
! [U_1263,U_1262] : k2_xboole_0(k1_tarski(U_1263),U_1262) != k1_xboole_0,
inference(variable_rename,[status(thm)],[f_374_1]) ).
fof(f_374_3,plain,
! [U_1262,U_1263] : k2_xboole_0(k1_tarski(U_1263),U_1262) != k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_374_2]) ).
cnf(f_374_4,plain,
k2_xboole_0(k1_tarski(U_1263),U_1262) != k1_xboole_0,
inference(clausify,[status(thm)],[f_374_3]) ).
fof(f_375_1,plain,
! [A,B,C] : k2_xboole_0(k2_tarski(A,B),C) != k1_xboole_0,
inference(fof_nnf,[status(thm)],[t50_zfmisc_1]) ).
fof(f_375_2,plain,
! [U_1266,U_1265,U_1264] : k2_xboole_0(k2_tarski(U_1266,U_1265),U_1264) != k1_xboole_0,
inference(variable_rename,[status(thm)],[f_375_1]) ).
fof(f_375_3,plain,
! [U_1264,U_1265,U_1266] : k2_xboole_0(k2_tarski(U_1266,U_1265),U_1264) != k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_375_2]) ).
cnf(f_375_4,plain,
k2_xboole_0(k2_tarski(U_1266,U_1265),U_1264) != k1_xboole_0,
inference(clausify,[status(thm)],[f_375_3]) ).
fof(f_376_1,plain,
! [A,B] :
( r2_hidden(B,A)
| k3_xboole_0(A,k1_tarski(B)) != k1_tarski(B) ),
inference(fof_nnf,[status(thm)],[t51_zfmisc_1]) ).
fof(f_376_2,plain,
! [U_1268,U_1267] :
( r2_hidden(U_1267,U_1268)
| k3_xboole_0(U_1268,k1_tarski(U_1267)) != k1_tarski(U_1267) ),
inference(variable_rename,[status(thm)],[f_376_1]) ).
fof(f_376_3,plain,
! [U_1268,U_1267] :
( r2_hidden(U_1267,U_1268)
| k3_xboole_0(U_1268,k1_tarski(U_1267)) != k1_tarski(U_1267) ),
inference(definitional_conversion,[status(esa)],[f_376_2]) ).
cnf(f_376_4,plain,
( r2_hidden(U_1267,U_1268)
| k3_xboole_0(U_1268,k1_tarski(U_1267)) != k1_tarski(U_1267) ),
inference(clausify,[status(thm)],[f_376_3]) ).
fof(f_377_1,plain,
! [A,B] :
( k3_xboole_0(B,k1_tarski(A)) = k1_tarski(A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t52_zfmisc_1]) ).
fof(f_377_2,plain,
! [U_1270,U_1269] :
( k3_xboole_0(U_1269,k1_tarski(U_1270)) = k1_tarski(U_1270)
| ~ r2_hidden(U_1270,U_1269) ),
inference(variable_rename,[status(thm)],[f_377_1]) ).
fof(f_377_3,plain,
! [U_1269,U_1270] :
( k3_xboole_0(U_1269,k1_tarski(U_1270)) = k1_tarski(U_1270)
| ~ r2_hidden(U_1270,U_1269) ),
inference(definitional_conversion,[status(esa)],[f_377_2]) ).
cnf(f_377_4,plain,
( k3_xboole_0(U_1269,k1_tarski(U_1270)) = k1_tarski(U_1270)
| ~ r2_hidden(U_1270,U_1269) ),
inference(clausify,[status(thm)],[f_377_3]) ).
fof(f_378_1,plain,
! [A,B,C] :
( k3_xboole_0(k2_tarski(A,C),B) = k2_tarski(A,C)
| ~ r2_hidden(C,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t53_zfmisc_1]) ).
fof(f_378_2,plain,
! [U_1273,U_1272,U_1271] :
( k3_xboole_0(k2_tarski(U_1273,U_1271),U_1272) = k2_tarski(U_1273,U_1271)
| ~ r2_hidden(U_1271,U_1272)
| ~ r2_hidden(U_1273,U_1272) ),
inference(variable_rename,[status(thm)],[f_378_1]) ).
fof(f_378_3,plain,
! [U_1271,U_1272,U_1273] :
( k3_xboole_0(k2_tarski(U_1273,U_1271),U_1272) = k2_tarski(U_1273,U_1271)
| ~ r2_hidden(U_1271,U_1272)
| ~ r2_hidden(U_1273,U_1272) ),
inference(definitional_conversion,[status(esa)],[f_378_2]) ).
cnf(f_378_4,plain,
( k3_xboole_0(k2_tarski(U_1273,U_1271),U_1272) = k2_tarski(U_1273,U_1271)
| ~ r2_hidden(U_1271,U_1272)
| ~ r2_hidden(U_1273,U_1272) ),
inference(clausify,[status(thm)],[f_378_3]) ).
fof(f_379_1,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| ~ r1_xboole_0(k1_tarski(A),B) ),
inference(fof_nnf,[status(thm)],[t54_zfmisc_1]) ).
fof(f_379_2,plain,
! [U_1275,U_1274] :
( ~ r2_hidden(U_1275,U_1274)
| ~ r1_xboole_0(k1_tarski(U_1275),U_1274) ),
inference(variable_rename,[status(thm)],[f_379_1]) ).
fof(f_379_3,plain,
! [U_1275,U_1274] :
( ~ r2_hidden(U_1275,U_1274)
| ~ r1_xboole_0(k1_tarski(U_1275),U_1274) ),
inference(definitional_conversion,[status(esa)],[f_379_2]) ).
cnf(f_379_4,plain,
( ~ r2_hidden(U_1275,U_1274)
| ~ r1_xboole_0(k1_tarski(U_1275),U_1274) ),
inference(clausify,[status(thm)],[f_379_3]) ).
fof(f_380_1,plain,
! [A,B,C] :
( ~ r2_hidden(A,C)
| ~ r1_xboole_0(k2_tarski(A,B),C) ),
inference(fof_nnf,[status(thm)],[t55_zfmisc_1]) ).
fof(f_380_2,plain,
! [U_1278,U_1277,U_1276] :
( ~ r2_hidden(U_1278,U_1276)
| ~ r1_xboole_0(k2_tarski(U_1278,U_1277),U_1276) ),
inference(variable_rename,[status(thm)],[f_380_1]) ).
fof(f_380_3,plain,
! [U_1277,U_1276,U_1278] :
( ~ r2_hidden(U_1278,U_1276)
| ~ r1_xboole_0(k2_tarski(U_1278,U_1277),U_1276) ),
inference(definitional_conversion,[status(esa)],[f_380_2]) ).
cnf(f_380_4,plain,
( ~ r2_hidden(U_1278,U_1276)
| ~ r1_xboole_0(k2_tarski(U_1278,U_1277),U_1276) ),
inference(clausify,[status(thm)],[f_380_3]) ).
fof(f_381_1,plain,
! [A,B] :
( r1_xboole_0(k1_tarski(A),B)
| r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t56_zfmisc_1]) ).
fof(f_381_2,plain,
! [U_1280,U_1279] :
( r1_xboole_0(k1_tarski(U_1280),U_1279)
| r2_hidden(U_1280,U_1279) ),
inference(variable_rename,[status(thm)],[f_381_1]) ).
fof(f_381_3,plain,
! [U_1279,U_1280] :
( r1_xboole_0(k1_tarski(U_1280),U_1279)
| r2_hidden(U_1280,U_1279) ),
inference(definitional_conversion,[status(esa)],[f_381_2]) ).
cnf(f_381_4,plain,
( r1_xboole_0(k1_tarski(U_1280),U_1279)
| r2_hidden(U_1280,U_1279) ),
inference(clausify,[status(thm)],[f_381_3]) ).
fof(f_382_1,plain,
! [A,B,C] :
( r1_xboole_0(k2_tarski(A,C),B)
| r2_hidden(C,B)
| r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t57_zfmisc_1]) ).
fof(f_382_2,plain,
! [U_1283,U_1282,U_1281] :
( r1_xboole_0(k2_tarski(U_1283,U_1281),U_1282)
| r2_hidden(U_1281,U_1282)
| r2_hidden(U_1283,U_1282) ),
inference(variable_rename,[status(thm)],[f_382_1]) ).
fof(f_382_3,plain,
! [U_1283,U_1282] :
( ! [U_1281] :
( r1_xboole_0(k2_tarski(U_1283,U_1281),U_1282)
| r2_hidden(U_1281,U_1282) )
| r2_hidden(U_1283,U_1282) ),
inference(miniscope,[status(thm)],[f_382_2]) ).
fof(f_382_4,plain,
! [U_1281,U_1282,U_1283] :
( r1_xboole_0(k2_tarski(U_1283,U_1281),U_1282)
| r2_hidden(U_1281,U_1282)
| r2_hidden(U_1283,U_1282) ),
inference(definitional_conversion,[status(esa)],[f_382_3]) ).
cnf(f_382_5,plain,
( r1_xboole_0(k2_tarski(U_1283,U_1281),U_1282)
| r2_hidden(U_1281,U_1282)
| r2_hidden(U_1283,U_1282) ),
inference(clausify,[status(thm)],[f_382_4]) ).
fof(f_383_1,plain,
! [A,B] :
( k3_xboole_0(k1_tarski(A),B) = k1_tarski(A)
| r1_xboole_0(k1_tarski(A),B) ),
inference(fof_nnf,[status(thm)],[t58_zfmisc_1]) ).
fof(f_383_2,plain,
! [U_1285,U_1284] :
( k3_xboole_0(k1_tarski(U_1285),U_1284) = k1_tarski(U_1285)
| r1_xboole_0(k1_tarski(U_1285),U_1284) ),
inference(variable_rename,[status(thm)],[f_383_1]) ).
fof(f_383_3,plain,
! [U_1285,U_1284] :
( k3_xboole_0(k1_tarski(U_1285),U_1284) = k1_tarski(U_1285)
| r1_xboole_0(k1_tarski(U_1285),U_1284) ),
inference(definitional_conversion,[status(esa)],[f_383_2]) ).
cnf(f_383_4,plain,
( k3_xboole_0(k1_tarski(U_1285),U_1284) = k1_tarski(U_1285)
| r1_xboole_0(k1_tarski(U_1285),U_1284) ),
inference(clausify,[status(thm)],[f_383_3]) ).
fof(f_384_1,plain,
! [A,B,C] :
( A = B
| ~ r2_hidden(B,C)
| k3_xboole_0(k2_tarski(A,B),C) != k1_tarski(A) ),
inference(fof_nnf,[status(thm)],[t59_zfmisc_1]) ).
fof(f_384_2,plain,
! [U_1288,U_1287,U_1286] :
( U_1288 = U_1287
| ~ r2_hidden(U_1287,U_1286)
| k3_xboole_0(k2_tarski(U_1288,U_1287),U_1286) != k1_tarski(U_1288) ),
inference(variable_rename,[status(thm)],[f_384_1]) ).
fof(f_384_3,plain,
! [U_1288,U_1287] :
( ! [U_1286] :
( ~ r2_hidden(U_1287,U_1286)
| k3_xboole_0(k2_tarski(U_1288,U_1287),U_1286) != k1_tarski(U_1288) )
| U_1288 = U_1287 ),
inference(miniscope,[status(thm)],[f_384_2]) ).
fof(f_384_4,plain,
! [U_1287,U_1288,U_1286] :
( ~ r2_hidden(U_1287,U_1286)
| k3_xboole_0(k2_tarski(U_1288,U_1287),U_1286) != k1_tarski(U_1288)
| U_1288 = U_1287 ),
inference(definitional_conversion,[status(esa)],[f_384_3]) ).
cnf(f_384_5,plain,
( ~ r2_hidden(U_1287,U_1286)
| k3_xboole_0(k2_tarski(U_1288,U_1287),U_1286) != k1_tarski(U_1288)
| U_1288 = U_1287 ),
inference(clausify,[status(thm)],[f_384_4]) ).
fof(f_385_1,plain,
! [A,B,C] :
( k3_xboole_0(k2_tarski(A,C),B) = k1_tarski(A)
| ( A != C
& r2_hidden(C,B) )
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t60_zfmisc_1]) ).
fof(f_385_2,plain,
! [U_1291,U_1290,U_1289] :
( k3_xboole_0(k2_tarski(U_1291,U_1289),U_1290) = k1_tarski(U_1291)
| ( U_1291 != U_1289
& r2_hidden(U_1289,U_1290) )
| ~ r2_hidden(U_1291,U_1290) ),
inference(variable_rename,[status(thm)],[f_385_1]) ).
fof(f_385_3,plain,
! [U_1291,U_1290] :
( ! [U_1289] :
( k3_xboole_0(k2_tarski(U_1291,U_1289),U_1290) = k1_tarski(U_1291)
| ( U_1291 != U_1289
& r2_hidden(U_1289,U_1290) ) )
| ~ r2_hidden(U_1291,U_1290) ),
inference(miniscope,[status(thm)],[f_385_2]) ).
fof(f_385_4,plain,
( ! [U_1290,U_1291,U_1289] :
( U_1291 != U_1289
| ~ sP108(U_1290,U_1291,U_1289) )
& ! [U_1290,U_1291,U_1289] :
( r2_hidden(U_1289,U_1290)
| ~ sP108(U_1290,U_1291,U_1289) )
& ! [U_1290,U_1291,U_1289] :
( k3_xboole_0(k2_tarski(U_1291,U_1289),U_1290) = k1_tarski(U_1291)
| sP108(U_1290,U_1291,U_1289)
| ~ r2_hidden(U_1291,U_1290) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP108])],[f_385_3]) ).
cnf(f_385_5,plain,
( k3_xboole_0(k2_tarski(U_1291,U_1289),U_1290) = k1_tarski(U_1291)
| sP108(U_1290,U_1291,U_1289)
| ~ r2_hidden(U_1291,U_1290) ),
inference(clausify,[status(thm)],[f_385_4]) ).
cnf(f_385_6,plain,
( r2_hidden(U_1289,U_1290)
| ~ sP108(U_1290,U_1291,U_1289) ),
inference(clausify,[status(thm)],[f_385_4]) ).
cnf(f_385_7,plain,
( U_1291 != U_1289
| ~ sP108(U_1290,U_1291,U_1289) ),
inference(clausify,[status(thm)],[f_385_4]) ).
fof(f_386_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t61_zfmisc_1]) ).
fof(f_386_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_386_1]) ).
cnf(f_386_3,plain,
$true,
inference(clausify,[status(thm)],[f_386_2]) ).
fof(f_387_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t62_zfmisc_1]) ).
fof(f_387_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_387_1]) ).
cnf(f_387_3,plain,
$true,
inference(clausify,[status(thm)],[f_387_2]) ).
fof(f_388_1,plain,
! [A,B,C] :
( r2_hidden(A,C)
| k3_xboole_0(k2_tarski(A,B),C) != k2_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t63_zfmisc_1]) ).
fof(f_388_2,plain,
! [U_1294,U_1293,U_1292] :
( r2_hidden(U_1294,U_1292)
| k3_xboole_0(k2_tarski(U_1294,U_1293),U_1292) != k2_tarski(U_1294,U_1293) ),
inference(variable_rename,[status(thm)],[f_388_1]) ).
fof(f_388_3,plain,
! [U_1292,U_1293,U_1294] :
( r2_hidden(U_1294,U_1292)
| k3_xboole_0(k2_tarski(U_1294,U_1293),U_1292) != k2_tarski(U_1294,U_1293) ),
inference(definitional_conversion,[status(esa)],[f_388_2]) ).
cnf(f_388_4,plain,
( r2_hidden(U_1294,U_1292)
| k3_xboole_0(k2_tarski(U_1294,U_1293),U_1292) != k2_tarski(U_1294,U_1293) ),
inference(clausify,[status(thm)],[f_388_3]) ).
fof(f_389_1,plain,
! [A,B,C] :
( ( r2_hidden(A,k4_xboole_0(B,k1_tarski(C)))
| A = C
| ~ r2_hidden(A,B) )
& ( ( A != C
& r2_hidden(A,B) )
| ~ r2_hidden(A,k4_xboole_0(B,k1_tarski(C))) ) ),
inference(fof_nnf,[status(thm)],[t64_zfmisc_1]) ).
fof(f_389_2,plain,
! [U_1297,U_1296,U_1295] :
( ( r2_hidden(U_1297,k4_xboole_0(U_1296,k1_tarski(U_1295)))
| U_1297 = U_1295
| ~ r2_hidden(U_1297,U_1296) )
& ( ( U_1297 != U_1295
& r2_hidden(U_1297,U_1296) )
| ~ r2_hidden(U_1297,k4_xboole_0(U_1296,k1_tarski(U_1295))) ) ),
inference(variable_rename,[status(thm)],[f_389_1]) ).
fof(f_389_3,plain,
( ! [U_1303,U_1301,U_1299] :
( r2_hidden(U_1303,k4_xboole_0(U_1301,k1_tarski(U_1299)))
| U_1303 = U_1299
| ~ r2_hidden(U_1303,U_1301) )
& ! [U_1302,U_1300,U_1298] :
( ( U_1302 != U_1298
& r2_hidden(U_1302,U_1300) )
| ~ r2_hidden(U_1302,k4_xboole_0(U_1300,k1_tarski(U_1298))) ) ),
inference(miniscope,[status(thm)],[f_389_2]) ).
fof(f_389_4,plain,
( ! [U_1298,U_1300,U_1302] :
( U_1302 != U_1298
| ~ sP109(U_1298,U_1300,U_1302) )
& ! [U_1298,U_1300,U_1302] :
( r2_hidden(U_1302,U_1300)
| ~ sP109(U_1298,U_1300,U_1302) )
& ! [U_1301,U_1299,U_1303] :
( r2_hidden(U_1303,k4_xboole_0(U_1301,k1_tarski(U_1299)))
| U_1303 = U_1299
| ~ r2_hidden(U_1303,U_1301) )
& ! [U_1298,U_1300,U_1302] :
( sP109(U_1298,U_1300,U_1302)
| ~ r2_hidden(U_1302,k4_xboole_0(U_1300,k1_tarski(U_1298))) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP109])],[f_389_3]) ).
cnf(f_389_5,plain,
( sP109(U_1298,U_1300,U_1302)
| ~ r2_hidden(U_1302,k4_xboole_0(U_1300,k1_tarski(U_1298))) ),
inference(clausify,[status(thm)],[f_389_4]) ).
cnf(f_389_6,plain,
( r2_hidden(U_1303,k4_xboole_0(U_1301,k1_tarski(U_1299)))
| U_1303 = U_1299
| ~ r2_hidden(U_1303,U_1301) ),
inference(clausify,[status(thm)],[f_389_4]) ).
cnf(f_389_7,plain,
( r2_hidden(U_1302,U_1300)
| ~ sP109(U_1298,U_1300,U_1302) ),
inference(clausify,[status(thm)],[f_389_4]) ).
cnf(f_389_8,plain,
( U_1302 != U_1298
| ~ sP109(U_1298,U_1300,U_1302) ),
inference(clausify,[status(thm)],[f_389_4]) ).
fof(f_390_1,plain,
! [A,B] :
( ( k4_xboole_0(A,k1_tarski(B)) = A
| r2_hidden(B,A) )
& ( ~ r2_hidden(B,A)
| k4_xboole_0(A,k1_tarski(B)) != A ) ),
inference(fof_nnf,[status(thm)],[t65_zfmisc_1]) ).
fof(f_390_2,plain,
! [U_1305,U_1304] :
( ( k4_xboole_0(U_1305,k1_tarski(U_1304)) = U_1305
| r2_hidden(U_1304,U_1305) )
& ( ~ r2_hidden(U_1304,U_1305)
| k4_xboole_0(U_1305,k1_tarski(U_1304)) != U_1305 ) ),
inference(variable_rename,[status(thm)],[f_390_1]) ).
fof(f_390_3,plain,
( ! [U_1309,U_1307] :
( k4_xboole_0(U_1309,k1_tarski(U_1307)) = U_1309
| r2_hidden(U_1307,U_1309) )
& ! [U_1308,U_1306] :
( ~ r2_hidden(U_1306,U_1308)
| k4_xboole_0(U_1308,k1_tarski(U_1306)) != U_1308 ) ),
inference(miniscope,[status(thm)],[f_390_2]) ).
fof(f_390_4,plain,
( ! [U_1309,U_1307] :
( k4_xboole_0(U_1309,k1_tarski(U_1307)) = U_1309
| r2_hidden(U_1307,U_1309) )
& ! [U_1308,U_1306] :
( ~ r2_hidden(U_1306,U_1308)
| k4_xboole_0(U_1308,k1_tarski(U_1306)) != U_1308 ) ),
inference(definitional_conversion,[status(esa)],[f_390_3]) ).
cnf(f_390_5,plain,
( ~ r2_hidden(U_1306,U_1308)
| k4_xboole_0(U_1308,k1_tarski(U_1306)) != U_1308 ),
inference(clausify,[status(thm)],[f_390_4]) ).
cnf(f_390_6,plain,
( k4_xboole_0(U_1309,k1_tarski(U_1307)) = U_1309
| r2_hidden(U_1307,U_1309) ),
inference(clausify,[status(thm)],[f_390_4]) ).
fof(f_391_1,plain,
! [A,B] :
( A = k1_tarski(B)
| A = k1_xboole_0
| k4_xboole_0(A,k1_tarski(B)) != k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t66_zfmisc_1]) ).
fof(f_391_2,plain,
! [U_1311,U_1310] :
( U_1311 = k1_tarski(U_1310)
| U_1311 = k1_xboole_0
| k4_xboole_0(U_1311,k1_tarski(U_1310)) != k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_391_1]) ).
fof(f_391_3,plain,
! [U_1311] :
( ! [U_1310] :
( U_1311 = k1_tarski(U_1310)
| k4_xboole_0(U_1311,k1_tarski(U_1310)) != k1_xboole_0 )
| U_1311 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_391_2]) ).
fof(f_391_4,plain,
! [U_1310,U_1311] :
( U_1311 = k1_tarski(U_1310)
| k4_xboole_0(U_1311,k1_tarski(U_1310)) != k1_xboole_0
| U_1311 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_391_3]) ).
cnf(f_391_5,plain,
( U_1311 = k1_tarski(U_1310)
| k4_xboole_0(U_1311,k1_tarski(U_1310)) != k1_xboole_0
| U_1311 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_391_4]) ).
fof(f_392_1,plain,
! [A,B] :
( ( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A)
| r2_hidden(A,B) )
& ( ~ r2_hidden(A,B)
| k4_xboole_0(k1_tarski(A),B) != k1_tarski(A) ) ),
inference(fof_nnf,[status(thm)],[t67_zfmisc_1]) ).
fof(f_392_2,plain,
! [U_1313,U_1312] :
( ( k4_xboole_0(k1_tarski(U_1313),U_1312) = k1_tarski(U_1313)
| r2_hidden(U_1313,U_1312) )
& ( ~ r2_hidden(U_1313,U_1312)
| k4_xboole_0(k1_tarski(U_1313),U_1312) != k1_tarski(U_1313) ) ),
inference(variable_rename,[status(thm)],[f_392_1]) ).
fof(f_392_3,plain,
( ! [U_1317,U_1315] :
( k4_xboole_0(k1_tarski(U_1317),U_1315) = k1_tarski(U_1317)
| r2_hidden(U_1317,U_1315) )
& ! [U_1316,U_1314] :
( ~ r2_hidden(U_1316,U_1314)
| k4_xboole_0(k1_tarski(U_1316),U_1314) != k1_tarski(U_1316) ) ),
inference(miniscope,[status(thm)],[f_392_2]) ).
fof(f_392_4,plain,
( ! [U_1317,U_1315] :
( k4_xboole_0(k1_tarski(U_1317),U_1315) = k1_tarski(U_1317)
| r2_hidden(U_1317,U_1315) )
& ! [U_1314,U_1316] :
( ~ r2_hidden(U_1316,U_1314)
| k4_xboole_0(k1_tarski(U_1316),U_1314) != k1_tarski(U_1316) ) ),
inference(definitional_conversion,[status(esa)],[f_392_3]) ).
cnf(f_392_5,plain,
( ~ r2_hidden(U_1316,U_1314)
| k4_xboole_0(k1_tarski(U_1316),U_1314) != k1_tarski(U_1316) ),
inference(clausify,[status(thm)],[f_392_4]) ).
cnf(f_392_6,plain,
( k4_xboole_0(k1_tarski(U_1317),U_1315) = k1_tarski(U_1317)
| r2_hidden(U_1317,U_1315) ),
inference(clausify,[status(thm)],[f_392_4]) ).
fof(f_393_1,plain,
! [A,B] :
( ( k4_xboole_0(k1_tarski(A),B) = k1_xboole_0
| ~ r2_hidden(A,B) )
& ( r2_hidden(A,B)
| k4_xboole_0(k1_tarski(A),B) != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[t68_zfmisc_1]) ).
fof(f_393_2,plain,
! [U_1319,U_1318] :
( ( k4_xboole_0(k1_tarski(U_1319),U_1318) = k1_xboole_0
| ~ r2_hidden(U_1319,U_1318) )
& ( r2_hidden(U_1319,U_1318)
| k4_xboole_0(k1_tarski(U_1319),U_1318) != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_393_1]) ).
fof(f_393_3,plain,
( ! [U_1323,U_1321] :
( k4_xboole_0(k1_tarski(U_1323),U_1321) = k1_xboole_0
| ~ r2_hidden(U_1323,U_1321) )
& ! [U_1322,U_1320] :
( r2_hidden(U_1322,U_1320)
| k4_xboole_0(k1_tarski(U_1322),U_1320) != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_393_2]) ).
fof(f_393_4,plain,
( ! [U_1323,U_1321] :
( k4_xboole_0(k1_tarski(U_1323),U_1321) = k1_xboole_0
| ~ r2_hidden(U_1323,U_1321) )
& ! [U_1320,U_1322] :
( r2_hidden(U_1322,U_1320)
| k4_xboole_0(k1_tarski(U_1322),U_1320) != k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa)],[f_393_3]) ).
cnf(f_393_5,plain,
( r2_hidden(U_1322,U_1320)
| k4_xboole_0(k1_tarski(U_1322),U_1320) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_393_4]) ).
cnf(f_393_6,plain,
( k4_xboole_0(k1_tarski(U_1323),U_1321) = k1_xboole_0
| ~ r2_hidden(U_1323,U_1321) ),
inference(clausify,[status(thm)],[f_393_4]) ).
fof(f_394_1,plain,
! [A,B] :
( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A)
| k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t69_zfmisc_1]) ).
fof(f_394_2,plain,
! [U_1325,U_1324] :
( k4_xboole_0(k1_tarski(U_1325),U_1324) = k1_tarski(U_1325)
| k4_xboole_0(k1_tarski(U_1325),U_1324) = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_394_1]) ).
fof(f_394_3,plain,
! [U_1324,U_1325] :
( k4_xboole_0(k1_tarski(U_1325),U_1324) = k1_tarski(U_1325)
| k4_xboole_0(k1_tarski(U_1325),U_1324) = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_394_2]) ).
cnf(f_394_4,plain,
( k4_xboole_0(k1_tarski(U_1325),U_1324) = k1_tarski(U_1325)
| k4_xboole_0(k1_tarski(U_1325),U_1324) = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_394_3]) ).
fof(f_395_1,plain,
! [A,B,C] :
( ( k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(A)
| ( A != B
& ~ r2_hidden(B,C) )
| r2_hidden(A,C) )
& ( ( ( A = B
| r2_hidden(B,C) )
& ~ r2_hidden(A,C) )
| k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(A) ) ),
inference(fof_nnf,[status(thm)],[t70_zfmisc_1]) ).
fof(f_395_2,plain,
! [U_1328,U_1327,U_1326] :
( ( k4_xboole_0(k2_tarski(U_1328,U_1327),U_1326) = k1_tarski(U_1328)
| ( U_1328 != U_1327
& ~ r2_hidden(U_1327,U_1326) )
| r2_hidden(U_1328,U_1326) )
& ( ( ( U_1328 = U_1327
| r2_hidden(U_1327,U_1326) )
& ~ r2_hidden(U_1328,U_1326) )
| k4_xboole_0(k2_tarski(U_1328,U_1327),U_1326) != k1_tarski(U_1328) ) ),
inference(variable_rename,[status(thm)],[f_395_1]) ).
fof(f_395_3,plain,
( ! [U_1334,U_1332,U_1330] :
( k4_xboole_0(k2_tarski(U_1334,U_1332),U_1330) = k1_tarski(U_1334)
| ( U_1334 != U_1332
& ~ r2_hidden(U_1332,U_1330) )
| r2_hidden(U_1334,U_1330) )
& ! [U_1333,U_1331,U_1329] :
( ( ( U_1333 = U_1331
| r2_hidden(U_1331,U_1329) )
& ~ r2_hidden(U_1333,U_1329) )
| k4_xboole_0(k2_tarski(U_1333,U_1331),U_1329) != k1_tarski(U_1333) ) ),
inference(miniscope,[status(thm)],[f_395_2]) ).
fof(f_395_4,plain,
( ! [U_1332,U_1334,U_1330] :
( U_1334 != U_1332
| ~ sP111(U_1332,U_1334,U_1330) )
& ! [U_1332,U_1334,U_1330] :
( ~ r2_hidden(U_1332,U_1330)
| ~ sP111(U_1332,U_1334,U_1330) )
& ! [U_1333,U_1331,U_1329] :
( U_1333 = U_1331
| r2_hidden(U_1331,U_1329)
| ~ sP110(U_1333,U_1331,U_1329) )
& ! [U_1333,U_1331,U_1329] :
( ~ r2_hidden(U_1333,U_1329)
| ~ sP110(U_1333,U_1331,U_1329) )
& ! [U_1332,U_1334,U_1330] :
( k4_xboole_0(k2_tarski(U_1334,U_1332),U_1330) = k1_tarski(U_1334)
| sP111(U_1332,U_1334,U_1330)
| r2_hidden(U_1334,U_1330) )
& ! [U_1333,U_1331,U_1329] :
( sP110(U_1333,U_1331,U_1329)
| k4_xboole_0(k2_tarski(U_1333,U_1331),U_1329) != k1_tarski(U_1333) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP110,sP111])],[f_395_3]) ).
cnf(f_395_5,plain,
( sP110(U_1333,U_1331,U_1329)
| k4_xboole_0(k2_tarski(U_1333,U_1331),U_1329) != k1_tarski(U_1333) ),
inference(clausify,[status(thm)],[f_395_4]) ).
cnf(f_395_6,plain,
( k4_xboole_0(k2_tarski(U_1334,U_1332),U_1330) = k1_tarski(U_1334)
| sP111(U_1332,U_1334,U_1330)
| r2_hidden(U_1334,U_1330) ),
inference(clausify,[status(thm)],[f_395_4]) ).
cnf(f_395_7,plain,
( ~ r2_hidden(U_1333,U_1329)
| ~ sP110(U_1333,U_1331,U_1329) ),
inference(clausify,[status(thm)],[f_395_4]) ).
cnf(f_395_8,plain,
( U_1333 = U_1331
| r2_hidden(U_1331,U_1329)
| ~ sP110(U_1333,U_1331,U_1329) ),
inference(clausify,[status(thm)],[f_395_4]) ).
cnf(f_395_9,plain,
( ~ r2_hidden(U_1332,U_1330)
| ~ sP111(U_1332,U_1334,U_1330) ),
inference(clausify,[status(thm)],[f_395_4]) ).
cnf(f_395_10,plain,
( U_1334 != U_1332
| ~ sP111(U_1332,U_1334,U_1330) ),
inference(clausify,[status(thm)],[f_395_4]) ).
fof(f_396_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t71_zfmisc_1]) ).
fof(f_396_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_396_1]) ).
cnf(f_396_3,plain,
$true,
inference(clausify,[status(thm)],[f_396_2]) ).
fof(f_397_1,plain,
! [A,B,C] :
( ( k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B)
| r2_hidden(B,C)
| r2_hidden(A,C) )
& ( ( ~ r2_hidden(B,C)
& ~ r2_hidden(A,C) )
| k4_xboole_0(k2_tarski(A,B),C) != k2_tarski(A,B) ) ),
inference(fof_nnf,[status(thm)],[t72_zfmisc_1]) ).
fof(f_397_2,plain,
! [U_1337,U_1336,U_1335] :
( ( k4_xboole_0(k2_tarski(U_1337,U_1336),U_1335) = k2_tarski(U_1337,U_1336)
| r2_hidden(U_1336,U_1335)
| r2_hidden(U_1337,U_1335) )
& ( ( ~ r2_hidden(U_1336,U_1335)
& ~ r2_hidden(U_1337,U_1335) )
| k4_xboole_0(k2_tarski(U_1337,U_1336),U_1335) != k2_tarski(U_1337,U_1336) ) ),
inference(variable_rename,[status(thm)],[f_397_1]) ).
fof(f_397_3,plain,
( ! [U_1343,U_1341,U_1339] :
( k4_xboole_0(k2_tarski(U_1343,U_1341),U_1339) = k2_tarski(U_1343,U_1341)
| r2_hidden(U_1341,U_1339)
| r2_hidden(U_1343,U_1339) )
& ! [U_1342,U_1340,U_1338] :
( ( ~ r2_hidden(U_1340,U_1338)
& ~ r2_hidden(U_1342,U_1338) )
| k4_xboole_0(k2_tarski(U_1342,U_1340),U_1338) != k2_tarski(U_1342,U_1340) ) ),
inference(miniscope,[status(thm)],[f_397_2]) ).
fof(f_397_4,plain,
( ! [U_1342,U_1340,U_1338] :
( ~ r2_hidden(U_1340,U_1338)
| ~ sP112(U_1342,U_1340,U_1338) )
& ! [U_1342,U_1340,U_1338] :
( ~ r2_hidden(U_1342,U_1338)
| ~ sP112(U_1342,U_1340,U_1338) )
& ! [U_1343,U_1341,U_1339] :
( k4_xboole_0(k2_tarski(U_1343,U_1341),U_1339) = k2_tarski(U_1343,U_1341)
| r2_hidden(U_1341,U_1339)
| r2_hidden(U_1343,U_1339) )
& ! [U_1342,U_1340,U_1338] :
( sP112(U_1342,U_1340,U_1338)
| k4_xboole_0(k2_tarski(U_1342,U_1340),U_1338) != k2_tarski(U_1342,U_1340) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP112])],[f_397_3]) ).
cnf(f_397_5,plain,
( sP112(U_1342,U_1340,U_1338)
| k4_xboole_0(k2_tarski(U_1342,U_1340),U_1338) != k2_tarski(U_1342,U_1340) ),
inference(clausify,[status(thm)],[f_397_4]) ).
cnf(f_397_6,plain,
( k4_xboole_0(k2_tarski(U_1343,U_1341),U_1339) = k2_tarski(U_1343,U_1341)
| r2_hidden(U_1341,U_1339)
| r2_hidden(U_1343,U_1339) ),
inference(clausify,[status(thm)],[f_397_4]) ).
cnf(f_397_7,plain,
( ~ r2_hidden(U_1342,U_1338)
| ~ sP112(U_1342,U_1340,U_1338) ),
inference(clausify,[status(thm)],[f_397_4]) ).
cnf(f_397_8,plain,
( ~ r2_hidden(U_1340,U_1338)
| ~ sP112(U_1342,U_1340,U_1338) ),
inference(clausify,[status(thm)],[f_397_4]) ).
fof(f_398_1,plain,
! [A,B,C] :
( ( k4_xboole_0(k2_tarski(A,B),C) = k1_xboole_0
| ~ r2_hidden(B,C)
| ~ r2_hidden(A,C) )
& ( ( r2_hidden(B,C)
& r2_hidden(A,C) )
| k4_xboole_0(k2_tarski(A,B),C) != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[t73_zfmisc_1]) ).
fof(f_398_2,plain,
! [U_1346,U_1345,U_1344] :
( ( k4_xboole_0(k2_tarski(U_1346,U_1345),U_1344) = k1_xboole_0
| ~ r2_hidden(U_1345,U_1344)
| ~ r2_hidden(U_1346,U_1344) )
& ( ( r2_hidden(U_1345,U_1344)
& r2_hidden(U_1346,U_1344) )
| k4_xboole_0(k2_tarski(U_1346,U_1345),U_1344) != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_398_1]) ).
fof(f_398_3,plain,
( ! [U_1352,U_1350,U_1348] :
( k4_xboole_0(k2_tarski(U_1352,U_1350),U_1348) = k1_xboole_0
| ~ r2_hidden(U_1350,U_1348)
| ~ r2_hidden(U_1352,U_1348) )
& ! [U_1351,U_1349,U_1347] :
( ( r2_hidden(U_1349,U_1347)
& r2_hidden(U_1351,U_1347) )
| k4_xboole_0(k2_tarski(U_1351,U_1349),U_1347) != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_398_2]) ).
fof(f_398_4,plain,
( ! [U_1351,U_1347,U_1349] :
( r2_hidden(U_1349,U_1347)
| ~ sP113(U_1351,U_1347,U_1349) )
& ! [U_1351,U_1347,U_1349] :
( r2_hidden(U_1351,U_1347)
| ~ sP113(U_1351,U_1347,U_1349) )
& ! [U_1350,U_1348,U_1352] :
( k4_xboole_0(k2_tarski(U_1352,U_1350),U_1348) = k1_xboole_0
| ~ r2_hidden(U_1350,U_1348)
| ~ r2_hidden(U_1352,U_1348) )
& ! [U_1351,U_1347,U_1349] :
( sP113(U_1351,U_1347,U_1349)
| k4_xboole_0(k2_tarski(U_1351,U_1349),U_1347) != k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP113])],[f_398_3]) ).
cnf(f_398_5,plain,
( sP113(U_1351,U_1347,U_1349)
| k4_xboole_0(k2_tarski(U_1351,U_1349),U_1347) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_398_4]) ).
cnf(f_398_6,plain,
( k4_xboole_0(k2_tarski(U_1352,U_1350),U_1348) = k1_xboole_0
| ~ r2_hidden(U_1350,U_1348)
| ~ r2_hidden(U_1352,U_1348) ),
inference(clausify,[status(thm)],[f_398_4]) ).
cnf(f_398_7,plain,
( r2_hidden(U_1351,U_1347)
| ~ sP113(U_1351,U_1347,U_1349) ),
inference(clausify,[status(thm)],[f_398_4]) ).
cnf(f_398_8,plain,
( r2_hidden(U_1349,U_1347)
| ~ sP113(U_1351,U_1347,U_1349) ),
inference(clausify,[status(thm)],[f_398_4]) ).
fof(f_399_1,plain,
! [A,B,C] :
( k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B)
| k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(B)
| k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(A)
| k4_xboole_0(k2_tarski(A,B),C) = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t74_zfmisc_1]) ).
fof(f_399_2,plain,
! [U_1355,U_1354,U_1353] :
( k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k2_tarski(U_1355,U_1354)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_tarski(U_1354)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_tarski(U_1355)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_399_1]) ).
fof(f_399_3,plain,
! [U_1353,U_1354,U_1355] :
( k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k2_tarski(U_1355,U_1354)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_tarski(U_1354)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_tarski(U_1355)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_399_2]) ).
cnf(f_399_4,plain,
( k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k2_tarski(U_1355,U_1354)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_tarski(U_1354)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_tarski(U_1355)
| k4_xboole_0(k2_tarski(U_1355,U_1354),U_1353) = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_399_3]) ).
fof(f_400_1,plain,
! [A,B,C] :
( ( k4_xboole_0(A,k2_tarski(B,C)) = k1_xboole_0
| ( A != k2_tarski(B,C)
& A != k1_tarski(C)
& A != k1_tarski(B)
& A != k1_xboole_0 ) )
& ( A = k2_tarski(B,C)
| A = k1_tarski(C)
| A = k1_tarski(B)
| A = k1_xboole_0
| k4_xboole_0(A,k2_tarski(B,C)) != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[t75_zfmisc_1]) ).
fof(f_400_2,plain,
! [U_1358,U_1357,U_1356] :
( ( k4_xboole_0(U_1358,k2_tarski(U_1357,U_1356)) = k1_xboole_0
| ( U_1358 != k2_tarski(U_1357,U_1356)
& U_1358 != k1_tarski(U_1356)
& U_1358 != k1_tarski(U_1357)
& U_1358 != k1_xboole_0 ) )
& ( U_1358 = k2_tarski(U_1357,U_1356)
| U_1358 = k1_tarski(U_1356)
| U_1358 = k1_tarski(U_1357)
| U_1358 = k1_xboole_0
| k4_xboole_0(U_1358,k2_tarski(U_1357,U_1356)) != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_400_1]) ).
fof(f_400_3,plain,
( ! [U_1364,U_1362,U_1360] :
( k4_xboole_0(U_1364,k2_tarski(U_1362,U_1360)) = k1_xboole_0
| ( U_1364 != k2_tarski(U_1362,U_1360)
& U_1364 != k1_tarski(U_1360)
& U_1364 != k1_tarski(U_1362)
& U_1364 != k1_xboole_0 ) )
& ! [U_1363,U_1361,U_1359] :
( U_1363 = k2_tarski(U_1361,U_1359)
| U_1363 = k1_tarski(U_1359)
| U_1363 = k1_tarski(U_1361)
| U_1363 = k1_xboole_0
| k4_xboole_0(U_1363,k2_tarski(U_1361,U_1359)) != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_400_2]) ).
fof(f_400_4,plain,
( ! [U_1360,U_1364,U_1362] :
( U_1364 != k2_tarski(U_1362,U_1360)
| ~ sP114(U_1360,U_1364,U_1362) )
& ! [U_1360,U_1364,U_1362] :
( U_1364 != k1_tarski(U_1360)
| ~ sP114(U_1360,U_1364,U_1362) )
& ! [U_1360,U_1364,U_1362] :
( U_1364 != k1_tarski(U_1362)
| ~ sP114(U_1360,U_1364,U_1362) )
& ! [U_1360,U_1364,U_1362] :
( U_1364 != k1_xboole_0
| ~ sP114(U_1360,U_1364,U_1362) )
& ! [U_1360,U_1364,U_1362] :
( k4_xboole_0(U_1364,k2_tarski(U_1362,U_1360)) = k1_xboole_0
| sP114(U_1360,U_1364,U_1362) )
& ! [U_1359,U_1361,U_1363] :
( U_1363 = k2_tarski(U_1361,U_1359)
| U_1363 = k1_tarski(U_1359)
| U_1363 = k1_tarski(U_1361)
| U_1363 = k1_xboole_0
| k4_xboole_0(U_1363,k2_tarski(U_1361,U_1359)) != k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP114])],[f_400_3]) ).
cnf(f_400_5,plain,
( U_1363 = k2_tarski(U_1361,U_1359)
| U_1363 = k1_tarski(U_1359)
| U_1363 = k1_tarski(U_1361)
| U_1363 = k1_xboole_0
| k4_xboole_0(U_1363,k2_tarski(U_1361,U_1359)) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_400_4]) ).
cnf(f_400_6,plain,
( k4_xboole_0(U_1364,k2_tarski(U_1362,U_1360)) = k1_xboole_0
| sP114(U_1360,U_1364,U_1362) ),
inference(clausify,[status(thm)],[f_400_4]) ).
cnf(f_400_7,plain,
( U_1364 != k1_xboole_0
| ~ sP114(U_1360,U_1364,U_1362) ),
inference(clausify,[status(thm)],[f_400_4]) ).
cnf(f_400_8,plain,
( U_1364 != k1_tarski(U_1362)
| ~ sP114(U_1360,U_1364,U_1362) ),
inference(clausify,[status(thm)],[f_400_4]) ).
cnf(f_400_9,plain,
( U_1364 != k1_tarski(U_1360)
| ~ sP114(U_1360,U_1364,U_1362) ),
inference(clausify,[status(thm)],[f_400_4]) ).
cnf(f_400_10,plain,
( U_1364 != k2_tarski(U_1362,U_1360)
| ~ sP114(U_1360,U_1364,U_1362) ),
inference(clausify,[status(thm)],[f_400_4]) ).
fof(f_401_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t76_zfmisc_1]) ).
fof(f_401_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_401_1]) ).
cnf(f_401_3,plain,
$true,
inference(clausify,[status(thm)],[f_401_2]) ).
fof(f_402_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t77_zfmisc_1]) ).
fof(f_402_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_402_1]) ).
cnf(f_402_3,plain,
$true,
inference(clausify,[status(thm)],[f_402_2]) ).
fof(f_403_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t78_zfmisc_1]) ).
fof(f_403_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_403_1]) ).
cnf(f_403_3,plain,
$true,
inference(clausify,[status(thm)],[f_403_2]) ).
fof(f_404_1,plain,
! [A,B] :
( r1_tarski(k1_zfmisc_1(A),k1_zfmisc_1(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t79_zfmisc_1]) ).
fof(f_404_2,plain,
! [U_1366,U_1365] :
( r1_tarski(k1_zfmisc_1(U_1366),k1_zfmisc_1(U_1365))
| ~ r1_tarski(U_1366,U_1365) ),
inference(variable_rename,[status(thm)],[f_404_1]) ).
fof(f_404_3,plain,
! [U_1365,U_1366] :
( r1_tarski(k1_zfmisc_1(U_1366),k1_zfmisc_1(U_1365))
| ~ r1_tarski(U_1366,U_1365) ),
inference(definitional_conversion,[status(esa)],[f_404_2]) ).
cnf(f_404_4,plain,
( r1_tarski(k1_zfmisc_1(U_1366),k1_zfmisc_1(U_1365))
| ~ r1_tarski(U_1366,U_1365) ),
inference(clausify,[status(thm)],[f_404_3]) ).
fof(f_405_1,plain,
! [A] : r1_tarski(k1_tarski(A),k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[t80_zfmisc_1]) ).
fof(f_405_2,plain,
! [U_1367] : r1_tarski(k1_tarski(U_1367),k1_zfmisc_1(U_1367)),
inference(variable_rename,[status(thm)],[f_405_1]) ).
fof(f_405_3,plain,
! [U_1367] : r1_tarski(k1_tarski(U_1367),k1_zfmisc_1(U_1367)),
inference(definitional_conversion,[status(esa)],[f_405_2]) ).
cnf(f_405_4,plain,
r1_tarski(k1_tarski(U_1367),k1_zfmisc_1(U_1367)),
inference(clausify,[status(thm)],[f_405_3]) ).
fof(f_406_1,plain,
! [A,B] : r1_tarski(k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(k2_xboole_0(A,B))),
inference(fof_nnf,[status(thm)],[t81_zfmisc_1]) ).
fof(f_406_2,plain,
! [U_1369,U_1368] : r1_tarski(k2_xboole_0(k1_zfmisc_1(U_1369),k1_zfmisc_1(U_1368)),k1_zfmisc_1(k2_xboole_0(U_1369,U_1368))),
inference(variable_rename,[status(thm)],[f_406_1]) ).
fof(f_406_3,plain,
! [U_1369,U_1368] : r1_tarski(k2_xboole_0(k1_zfmisc_1(U_1369),k1_zfmisc_1(U_1368)),k1_zfmisc_1(k2_xboole_0(U_1369,U_1368))),
inference(definitional_conversion,[status(esa)],[f_406_2]) ).
cnf(f_406_4,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(U_1369),k1_zfmisc_1(U_1368)),k1_zfmisc_1(k2_xboole_0(U_1369,U_1368))),
inference(clausify,[status(thm)],[f_406_3]) ).
fof(f_407_1,plain,
! [A,B] :
( r3_xboole_0(A,B)
| k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) != k1_zfmisc_1(k2_xboole_0(A,B)) ),
inference(fof_nnf,[status(thm)],[t82_zfmisc_1]) ).
fof(f_407_2,plain,
! [U_1371,U_1370] :
( r3_xboole_0(U_1371,U_1370)
| k2_xboole_0(k1_zfmisc_1(U_1371),k1_zfmisc_1(U_1370)) != k1_zfmisc_1(k2_xboole_0(U_1371,U_1370)) ),
inference(variable_rename,[status(thm)],[f_407_1]) ).
fof(f_407_3,plain,
! [U_1370,U_1371] :
( r3_xboole_0(U_1371,U_1370)
| k2_xboole_0(k1_zfmisc_1(U_1371),k1_zfmisc_1(U_1370)) != k1_zfmisc_1(k2_xboole_0(U_1371,U_1370)) ),
inference(definitional_conversion,[status(esa)],[f_407_2]) ).
cnf(f_407_4,plain,
( r3_xboole_0(U_1371,U_1370)
| k2_xboole_0(k1_zfmisc_1(U_1371),k1_zfmisc_1(U_1370)) != k1_zfmisc_1(k2_xboole_0(U_1371,U_1370)) ),
inference(clausify,[status(thm)],[f_407_3]) ).
fof(f_408_1,plain,
! [A,B] : k1_zfmisc_1(k3_xboole_0(A,B)) = k3_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)),
inference(fof_nnf,[status(thm)],[t83_zfmisc_1]) ).
fof(f_408_2,plain,
! [U_1373,U_1372] : k1_zfmisc_1(k3_xboole_0(U_1373,U_1372)) = k3_xboole_0(k1_zfmisc_1(U_1373),k1_zfmisc_1(U_1372)),
inference(variable_rename,[status(thm)],[f_408_1]) ).
fof(f_408_3,plain,
! [U_1373,U_1372] : k1_zfmisc_1(k3_xboole_0(U_1373,U_1372)) = k3_xboole_0(k1_zfmisc_1(U_1373),k1_zfmisc_1(U_1372)),
inference(definitional_conversion,[status(esa)],[f_408_2]) ).
cnf(f_408_4,plain,
k1_zfmisc_1(k3_xboole_0(U_1373,U_1372)) = k3_xboole_0(k1_zfmisc_1(U_1373),k1_zfmisc_1(U_1372)),
inference(clausify,[status(thm)],[f_408_3]) ).
fof(f_409_1,plain,
! [A,B] : r1_tarski(k1_zfmisc_1(k4_xboole_0(A,B)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)))),
inference(fof_nnf,[status(thm)],[t84_zfmisc_1]) ).
fof(f_409_2,plain,
! [U_1375,U_1374] : r1_tarski(k1_zfmisc_1(k4_xboole_0(U_1375,U_1374)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(U_1375),k1_zfmisc_1(U_1374)))),
inference(variable_rename,[status(thm)],[f_409_1]) ).
fof(f_409_3,plain,
! [U_1374,U_1375] : r1_tarski(k1_zfmisc_1(k4_xboole_0(U_1375,U_1374)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(U_1375),k1_zfmisc_1(U_1374)))),
inference(definitional_conversion,[status(esa)],[f_409_2]) ).
cnf(f_409_4,plain,
r1_tarski(k1_zfmisc_1(k4_xboole_0(U_1375,U_1374)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(U_1375),k1_zfmisc_1(U_1374)))),
inference(clausify,[status(thm)],[f_409_3]) ).
fof(f_410_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t85_zfmisc_1]) ).
fof(f_410_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_410_1]) ).
cnf(f_410_3,plain,
$true,
inference(clausify,[status(thm)],[f_410_2]) ).
fof(f_411_1,plain,
! [A,B] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(A,B)),k1_zfmisc_1(k4_xboole_0(B,A))),k1_zfmisc_1(k5_xboole_0(A,B))),
inference(fof_nnf,[status(thm)],[t86_zfmisc_1]) ).
fof(f_411_2,plain,
! [U_1377,U_1376] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(U_1377,U_1376)),k1_zfmisc_1(k4_xboole_0(U_1376,U_1377))),k1_zfmisc_1(k5_xboole_0(U_1377,U_1376))),
inference(variable_rename,[status(thm)],[f_411_1]) ).
fof(f_411_3,plain,
! [U_1376,U_1377] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(U_1377,U_1376)),k1_zfmisc_1(k4_xboole_0(U_1376,U_1377))),k1_zfmisc_1(k5_xboole_0(U_1377,U_1376))),
inference(definitional_conversion,[status(esa)],[f_411_2]) ).
cnf(f_411_4,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(U_1377,U_1376)),k1_zfmisc_1(k4_xboole_0(U_1376,U_1377))),k1_zfmisc_1(k5_xboole_0(U_1377,U_1376))),
inference(clausify,[status(thm)],[f_411_3]) ).
fof(f_412_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t87_zfmisc_1]) ).
fof(f_412_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_412_1]) ).
cnf(f_412_3,plain,
$true,
inference(clausify,[status(thm)],[f_412_2]) ).
fof(f_413_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t88_zfmisc_1]) ).
fof(f_413_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_413_1]) ).
cnf(f_413_3,plain,
$true,
inference(clausify,[status(thm)],[f_413_2]) ).
fof(f_414_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t89_zfmisc_1]) ).
fof(f_414_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_414_1]) ).
cnf(f_414_3,plain,
$true,
inference(clausify,[status(thm)],[f_414_2]) ).
fof(f_415_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t90_zfmisc_1]) ).
fof(f_415_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_415_1]) ).
cnf(f_415_3,plain,
$true,
inference(clausify,[status(thm)],[f_415_2]) ).
fof(f_416_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t91_zfmisc_1]) ).
fof(f_416_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_416_1]) ).
cnf(f_416_3,plain,
$true,
inference(clausify,[status(thm)],[f_416_2]) ).
fof(f_417_1,plain,
! [A,B] :
( r1_tarski(A,k3_tarski(B))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t92_zfmisc_1]) ).
fof(f_417_2,plain,
! [U_1379,U_1378] :
( r1_tarski(U_1379,k3_tarski(U_1378))
| ~ r2_hidden(U_1379,U_1378) ),
inference(variable_rename,[status(thm)],[f_417_1]) ).
fof(f_417_3,plain,
! [U_1378,U_1379] :
( r1_tarski(U_1379,k3_tarski(U_1378))
| ~ r2_hidden(U_1379,U_1378) ),
inference(definitional_conversion,[status(esa)],[f_417_2]) ).
cnf(f_417_4,plain,
( r1_tarski(U_1379,k3_tarski(U_1378))
| ~ r2_hidden(U_1379,U_1378) ),
inference(clausify,[status(thm)],[f_417_3]) ).
fof(f_418_1,plain,
! [A,B] : k3_tarski(k2_tarski(A,B)) = k2_xboole_0(A,B),
inference(fof_nnf,[status(thm)],[t93_zfmisc_1]) ).
fof(f_418_2,plain,
! [U_1381,U_1380] : k3_tarski(k2_tarski(U_1381,U_1380)) = k2_xboole_0(U_1381,U_1380),
inference(variable_rename,[status(thm)],[f_418_1]) ).
fof(f_418_3,plain,
! [U_1380,U_1381] : k3_tarski(k2_tarski(U_1381,U_1380)) = k2_xboole_0(U_1381,U_1380),
inference(definitional_conversion,[status(esa)],[f_418_2]) ).
cnf(f_418_4,plain,
k3_tarski(k2_tarski(U_1381,U_1380)) = k2_xboole_0(U_1381,U_1380),
inference(clausify,[status(thm)],[f_418_3]) ).
fof(f_419_1,plain,
! [A,B] :
( r1_tarski(k3_tarski(A),B)
| ? [C] :
( ~ r1_tarski(C,B)
& r2_hidden(C,A) ) ),
inference(fof_nnf,[status(thm)],[t94_zfmisc_1]) ).
fof(f_419_2,plain,
! [U_1384,U_1383] :
( r1_tarski(k3_tarski(U_1384),U_1383)
| ? [U_1382] :
( ~ r1_tarski(U_1382,U_1383)
& r2_hidden(U_1382,U_1384) ) ),
inference(variable_rename,[status(thm)],[f_419_1]) ).
fof(f_419_3,plain,
! [U_1384,U_1383] :
( r1_tarski(k3_tarski(U_1384),U_1383)
| ( ~ r1_tarski(sK74(U_1384,U_1383),U_1383)
& r2_hidden(sK74(U_1384,U_1383),U_1384) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_1382,sK74(U_1384,U_1383))],[f_419_2]) ).
fof(f_419_4,plain,
( ! [U_1383,U_1384] :
( ~ r1_tarski(sK74(U_1384,U_1383),U_1383)
| ~ sP115(U_1383,U_1384) )
& ! [U_1383,U_1384] :
( r2_hidden(sK74(U_1384,U_1383),U_1384)
| ~ sP115(U_1383,U_1384) )
& ! [U_1383,U_1384] :
( r1_tarski(k3_tarski(U_1384),U_1383)
| sP115(U_1383,U_1384) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP115])],[f_419_3]) ).
cnf(f_419_5,plain,
( r1_tarski(k3_tarski(U_1384),U_1383)
| sP115(U_1383,U_1384) ),
inference(clausify,[status(thm)],[f_419_4]) ).
cnf(f_419_6,plain,
( r2_hidden(sK74(U_1384,U_1383),U_1384)
| ~ sP115(U_1383,U_1384) ),
inference(clausify,[status(thm)],[f_419_4]) ).
cnf(f_419_7,plain,
( ~ r1_tarski(sK74(U_1384,U_1383),U_1383)
| ~ sP115(U_1383,U_1384) ),
inference(clausify,[status(thm)],[f_419_4]) ).
fof(f_420_1,plain,
! [A,B] :
( r1_tarski(k3_tarski(A),k3_tarski(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t95_zfmisc_1]) ).
fof(f_420_2,plain,
! [U_1386,U_1385] :
( r1_tarski(k3_tarski(U_1386),k3_tarski(U_1385))
| ~ r1_tarski(U_1386,U_1385) ),
inference(variable_rename,[status(thm)],[f_420_1]) ).
fof(f_420_3,plain,
! [U_1385,U_1386] :
( r1_tarski(k3_tarski(U_1386),k3_tarski(U_1385))
| ~ r1_tarski(U_1386,U_1385) ),
inference(definitional_conversion,[status(esa)],[f_420_2]) ).
cnf(f_420_4,plain,
( r1_tarski(k3_tarski(U_1386),k3_tarski(U_1385))
| ~ r1_tarski(U_1386,U_1385) ),
inference(clausify,[status(thm)],[f_420_3]) ).
fof(f_421_1,plain,
! [A,B] : k3_tarski(k2_xboole_0(A,B)) = k2_xboole_0(k3_tarski(A),k3_tarski(B)),
inference(fof_nnf,[status(thm)],[t96_zfmisc_1]) ).
fof(f_421_2,plain,
! [U_1388,U_1387] : k3_tarski(k2_xboole_0(U_1388,U_1387)) = k2_xboole_0(k3_tarski(U_1388),k3_tarski(U_1387)),
inference(variable_rename,[status(thm)],[f_421_1]) ).
fof(f_421_3,plain,
! [U_1387,U_1388] : k3_tarski(k2_xboole_0(U_1388,U_1387)) = k2_xboole_0(k3_tarski(U_1388),k3_tarski(U_1387)),
inference(definitional_conversion,[status(esa)],[f_421_2]) ).
cnf(f_421_4,plain,
k3_tarski(k2_xboole_0(U_1388,U_1387)) = k2_xboole_0(k3_tarski(U_1388),k3_tarski(U_1387)),
inference(clausify,[status(thm)],[f_421_3]) ).
fof(f_422_1,plain,
! [A,B] : r1_tarski(k3_tarski(k3_xboole_0(A,B)),k3_xboole_0(k3_tarski(A),k3_tarski(B))),
inference(fof_nnf,[status(thm)],[t97_zfmisc_1]) ).
fof(f_422_2,plain,
! [U_1390,U_1389] : r1_tarski(k3_tarski(k3_xboole_0(U_1390,U_1389)),k3_xboole_0(k3_tarski(U_1390),k3_tarski(U_1389))),
inference(variable_rename,[status(thm)],[f_422_1]) ).
fof(f_422_3,plain,
! [U_1390,U_1389] : r1_tarski(k3_tarski(k3_xboole_0(U_1390,U_1389)),k3_xboole_0(k3_tarski(U_1390),k3_tarski(U_1389))),
inference(definitional_conversion,[status(esa)],[f_422_2]) ).
cnf(f_422_4,plain,
r1_tarski(k3_tarski(k3_xboole_0(U_1390,U_1389)),k3_xboole_0(k3_tarski(U_1390),k3_tarski(U_1389))),
inference(clausify,[status(thm)],[f_422_3]) ).
fof(f_423_1,plain,
! [A,B] :
( r1_xboole_0(k3_tarski(A),B)
| ? [C] :
( ~ r1_xboole_0(C,B)
& r2_hidden(C,A) ) ),
inference(fof_nnf,[status(thm)],[t98_zfmisc_1]) ).
fof(f_423_2,plain,
! [U_1393,U_1392] :
( r1_xboole_0(k3_tarski(U_1393),U_1392)
| ? [U_1391] :
( ~ r1_xboole_0(U_1391,U_1392)
& r2_hidden(U_1391,U_1393) ) ),
inference(variable_rename,[status(thm)],[f_423_1]) ).
fof(f_423_3,plain,
! [U_1393,U_1392] :
( r1_xboole_0(k3_tarski(U_1393),U_1392)
| ( ~ r1_xboole_0(sK75(U_1393,U_1392),U_1392)
& r2_hidden(sK75(U_1393,U_1392),U_1393) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_1391,sK75(U_1393,U_1392))],[f_423_2]) ).
fof(f_423_4,plain,
( ! [U_1392,U_1393] :
( ~ r1_xboole_0(sK75(U_1393,U_1392),U_1392)
| ~ sP116(U_1392,U_1393) )
& ! [U_1392,U_1393] :
( r2_hidden(sK75(U_1393,U_1392),U_1393)
| ~ sP116(U_1392,U_1393) )
& ! [U_1392,U_1393] :
( r1_xboole_0(k3_tarski(U_1393),U_1392)
| sP116(U_1392,U_1393) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP116])],[f_423_3]) ).
cnf(f_423_5,plain,
( r1_xboole_0(k3_tarski(U_1393),U_1392)
| sP116(U_1392,U_1393) ),
inference(clausify,[status(thm)],[f_423_4]) ).
cnf(f_423_6,plain,
( r2_hidden(sK75(U_1393,U_1392),U_1393)
| ~ sP116(U_1392,U_1393) ),
inference(clausify,[status(thm)],[f_423_4]) ).
cnf(f_423_7,plain,
( ~ r1_xboole_0(sK75(U_1393,U_1392),U_1392)
| ~ sP116(U_1392,U_1393) ),
inference(clausify,[status(thm)],[f_423_4]) ).
fof(f_424_1,plain,
! [A] : k3_tarski(k1_zfmisc_1(A)) = A,
inference(fof_nnf,[status(thm)],[t99_zfmisc_1]) ).
fof(f_424_2,plain,
! [U_1394] : k3_tarski(k1_zfmisc_1(U_1394)) = U_1394,
inference(variable_rename,[status(thm)],[f_424_1]) ).
fof(f_424_3,plain,
! [U_1394] : k3_tarski(k1_zfmisc_1(U_1394)) = U_1394,
inference(definitional_conversion,[status(esa)],[f_424_2]) ).
cnf(f_424_4,plain,
k3_tarski(k1_zfmisc_1(U_1394)) = U_1394,
inference(clausify,[status(thm)],[f_424_3]) ).
fof(f_425_1,plain,
! [A] : r1_tarski(A,k1_zfmisc_1(k3_tarski(A))),
inference(fof_nnf,[status(thm)],[t100_zfmisc_1]) ).
fof(f_425_2,plain,
! [U_1395] : r1_tarski(U_1395,k1_zfmisc_1(k3_tarski(U_1395))),
inference(variable_rename,[status(thm)],[f_425_1]) ).
fof(f_425_3,plain,
! [U_1395] : r1_tarski(U_1395,k1_zfmisc_1(k3_tarski(U_1395))),
inference(definitional_conversion,[status(esa)],[f_425_2]) ).
cnf(f_425_4,plain,
r1_tarski(U_1395,k1_zfmisc_1(k3_tarski(U_1395))),
inference(clausify,[status(thm)],[f_425_3]) ).
fof(f_426_1,plain,
! [A,B] :
( k3_tarski(k3_xboole_0(A,B)) = k3_xboole_0(k3_tarski(A),k3_tarski(B))
| ? [C,D] :
( ~ r1_xboole_0(C,D)
& C != D
& r2_hidden(D,k2_xboole_0(A,B))
& r2_hidden(C,k2_xboole_0(A,B)) ) ),
inference(fof_nnf,[status(thm)],[t101_zfmisc_1]) ).
fof(f_426_2,plain,
! [U_1399,U_1398] :
( k3_tarski(k3_xboole_0(U_1399,U_1398)) = k3_xboole_0(k3_tarski(U_1399),k3_tarski(U_1398))
| ? [U_1397,U_1396] :
( ~ r1_xboole_0(U_1397,U_1396)
& U_1397 != U_1396
& r2_hidden(U_1396,k2_xboole_0(U_1399,U_1398))
& r2_hidden(U_1397,k2_xboole_0(U_1399,U_1398)) ) ),
inference(variable_rename,[status(thm)],[f_426_1]) ).
fof(f_426_3,plain,
! [U_1399,U_1398] :
( k3_tarski(k3_xboole_0(U_1399,U_1398)) = k3_xboole_0(k3_tarski(U_1399),k3_tarski(U_1398))
| ? [U_1396] :
( ~ r1_xboole_0(sK76(U_1399,U_1398),U_1396)
& sK76(U_1399,U_1398) != U_1396
& r2_hidden(U_1396,k2_xboole_0(U_1399,U_1398))
& r2_hidden(sK76(U_1399,U_1398),k2_xboole_0(U_1399,U_1398)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_1397,sK76(U_1399,U_1398))],[f_426_2]) ).
fof(f_426_4,plain,
! [U_1399,U_1398] :
( k3_tarski(k3_xboole_0(U_1399,U_1398)) = k3_xboole_0(k3_tarski(U_1399),k3_tarski(U_1398))
| ( ~ r1_xboole_0(sK76(U_1399,U_1398),sK77(U_1399,U_1398))
& sK76(U_1399,U_1398) != sK77(U_1399,U_1398)
& r2_hidden(sK77(U_1399,U_1398),k2_xboole_0(U_1399,U_1398))
& r2_hidden(sK76(U_1399,U_1398),k2_xboole_0(U_1399,U_1398)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_1396,sK77(U_1399,U_1398))],[f_426_3]) ).
fof(f_426_5,plain,
( ! [U_1398,U_1399] :
( ~ r1_xboole_0(sK76(U_1399,U_1398),sK77(U_1399,U_1398))
| ~ sP117(U_1398,U_1399) )
& ! [U_1398,U_1399] :
( sK76(U_1399,U_1398) != sK77(U_1399,U_1398)
| ~ sP117(U_1398,U_1399) )
& ! [U_1398,U_1399] :
( r2_hidden(sK77(U_1399,U_1398),k2_xboole_0(U_1399,U_1398))
| ~ sP117(U_1398,U_1399) )
& ! [U_1398,U_1399] :
( r2_hidden(sK76(U_1399,U_1398),k2_xboole_0(U_1399,U_1398))
| ~ sP117(U_1398,U_1399) )
& ! [U_1398,U_1399] :
( k3_tarski(k3_xboole_0(U_1399,U_1398)) = k3_xboole_0(k3_tarski(U_1399),k3_tarski(U_1398))
| sP117(U_1398,U_1399) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP117])],[f_426_4]) ).
cnf(f_426_6,plain,
( k3_tarski(k3_xboole_0(U_1399,U_1398)) = k3_xboole_0(k3_tarski(U_1399),k3_tarski(U_1398))
| sP117(U_1398,U_1399) ),
inference(clausify,[status(thm)],[f_426_5]) ).
cnf(f_426_7,plain,
( r2_hidden(sK76(U_1399,U_1398),k2_xboole_0(U_1399,U_1398))
| ~ sP117(U_1398,U_1399) ),
inference(clausify,[status(thm)],[f_426_5]) ).
cnf(f_426_8,plain,
( r2_hidden(sK77(U_1399,U_1398),k2_xboole_0(U_1399,U_1398))
| ~ sP117(U_1398,U_1399) ),
inference(clausify,[status(thm)],[f_426_5]) ).
cnf(f_426_9,plain,
( sK76(U_1399,U_1398) != sK77(U_1399,U_1398)
| ~ sP117(U_1398,U_1399) ),
inference(clausify,[status(thm)],[f_426_5]) ).
cnf(f_426_10,plain,
( ~ r1_xboole_0(sK76(U_1399,U_1398),sK77(U_1399,U_1398))
| ~ sP117(U_1398,U_1399) ),
inference(clausify,[status(thm)],[f_426_5]) ).
fof(f_427_1,plain,
! [A,B,C] :
( ? [D,E] : k4_tarski(D,E) = A
| ~ r2_hidden(A,k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t102_zfmisc_1]) ).
fof(f_427_2,plain,
! [U_1404,U_1403,U_1402] :
( ? [U_1401,U_1400] : k4_tarski(U_1401,U_1400) = U_1404
| ~ r2_hidden(U_1404,k2_zfmisc_1(U_1403,U_1402)) ),
inference(variable_rename,[status(thm)],[f_427_1]) ).
fof(f_427_3,plain,
! [U_1404] :
( ! [U_1403,U_1402] : ~ r2_hidden(U_1404,k2_zfmisc_1(U_1403,U_1402))
| ? [U_1401,U_1400] : k4_tarski(U_1401,U_1400) = U_1404 ),
inference(miniscope,[status(thm)],[f_427_2]) ).
fof(f_427_4,plain,
! [U_1404] :
( ! [U_1403,U_1402] : ~ r2_hidden(U_1404,k2_zfmisc_1(U_1403,U_1402))
| ? [U_1400] : k4_tarski(sK78(U_1404),U_1400) = U_1404 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_1401,sK78(U_1404))],[f_427_3]) ).
fof(f_427_5,plain,
! [U_1404] :
( ! [U_1403,U_1402] : ~ r2_hidden(U_1404,k2_zfmisc_1(U_1403,U_1402))
| k4_tarski(sK78(U_1404),sK79(U_1404)) = U_1404 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_1400,sK79(U_1404))],[f_427_4]) ).
fof(f_427_6,plain,
! [U_1403,U_1404,U_1402] :
( ~ r2_hidden(U_1404,k2_zfmisc_1(U_1403,U_1402))
| k4_tarski(sK78(U_1404),sK79(U_1404)) = U_1404 ),
inference(definitional_conversion,[status(esa)],[f_427_5]) ).
cnf(f_427_7,plain,
( ~ r2_hidden(U_1404,k2_zfmisc_1(U_1403,U_1402))
| k4_tarski(sK78(U_1404),sK79(U_1404)) = U_1404 ),
inference(clausify,[status(thm)],[f_427_6]) ).
fof(f_428_1,plain,
! [A,B,C,D] :
( ? [E,F] :
( D = k4_tarski(E,F)
& r2_hidden(F,C)
& r2_hidden(E,B) )
| ~ r2_hidden(D,A)
| ~ r1_tarski(A,k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t103_zfmisc_1]) ).
fof(f_428_2,plain,
! [U_1410,U_1409,U_1408,U_1407] :
( ? [U_1406,U_1405] :
( U_1407 = k4_tarski(U_1406,U_1405)
& r2_hidden(U_1405,U_1408)
& r2_hidden(U_1406,U_1409) )
| ~ r2_hidden(U_1407,U_1410)
| ~ r1_tarski(U_1410,k2_zfmisc_1(U_1409,U_1408)) ),
inference(variable_rename,[status(thm)],[f_428_1]) ).
fof(f_428_3,plain,
! [U_1410,U_1409,U_1408] :
( ! [U_1407] :
( ? [U_1406] :
( ? [U_1405] :
( U_1407 = k4_tarski(U_1406,U_1405)
& r2_hidden(U_1405,U_1408) )
& r2_hidden(U_1406,U_1409) )
| ~ r2_hidden(U_1407,U_1410) )
| ~ r1_tarski(U_1410,k2_zfmisc_1(U_1409,U_1408)) ),
inference(miniscope,[status(thm)],[f_428_2]) ).
fof(f_428_4,plain,
! [U_1410,U_1409,U_1408] :
( ! [U_1407] :
( ( ? [U_1405] :
( U_1407 = k4_tarski(sK80(U_1410,U_1409,U_1408,U_1407),U_1405)
& r2_hidden(U_1405,U_1408) )
& r2_hidden(sK80(U_1410,U_1409,U_1408,U_1407),U_1409) )
| ~ r2_hidden(U_1407,U_1410) )
| ~ r1_tarski(U_1410,k2_zfmisc_1(U_1409,U_1408)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_1406,sK80(U_1410,U_1409,U_1408,U_1407))],[f_428_3]) ).
fof(f_428_5,plain,
! [U_1410,U_1409,U_1408] :
( ! [U_1407] :
( ( U_1407 = k4_tarski(sK80(U_1410,U_1409,U_1408,U_1407),sK81(U_1410,U_1409,U_1408,U_1407))
& r2_hidden(sK81(U_1410,U_1409,U_1408,U_1407),U_1408)
& r2_hidden(sK80(U_1410,U_1409,U_1408,U_1407),U_1409) )
| ~ r2_hidden(U_1407,U_1410) )
| ~ r1_tarski(U_1410,k2_zfmisc_1(U_1409,U_1408)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_1405,sK81(U_1410,U_1409,U_1408,U_1407))],[f_428_4]) ).
fof(f_428_6,plain,
( ! [U_1407,U_1408,U_1409,U_1410] :
( U_1407 = k4_tarski(sK80(U_1410,U_1409,U_1408,U_1407),sK81(U_1410,U_1409,U_1408,U_1407))
| ~ sP118(U_1407,U_1408,U_1409,U_1410) )
& ! [U_1407,U_1408,U_1409,U_1410] :
( r2_hidden(sK81(U_1410,U_1409,U_1408,U_1407),U_1408)
| ~ sP118(U_1407,U_1408,U_1409,U_1410) )
& ! [U_1407,U_1408,U_1409,U_1410] :
( r2_hidden(sK80(U_1410,U_1409,U_1408,U_1407),U_1409)
| ~ sP118(U_1407,U_1408,U_1409,U_1410) )
& ! [U_1407,U_1408,U_1409,U_1410] :
( sP118(U_1407,U_1408,U_1409,U_1410)
| ~ r2_hidden(U_1407,U_1410)
| ~ r1_tarski(U_1410,k2_zfmisc_1(U_1409,U_1408)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP118])],[f_428_5]) ).
cnf(f_428_7,plain,
( sP118(U_1407,U_1408,U_1409,U_1410)
| ~ r2_hidden(U_1407,U_1410)
| ~ r1_tarski(U_1410,k2_zfmisc_1(U_1409,U_1408)) ),
inference(clausify,[status(thm)],[f_428_6]) ).
cnf(f_428_8,plain,
( r2_hidden(sK80(U_1410,U_1409,U_1408,U_1407),U_1409)
| ~ sP118(U_1407,U_1408,U_1409,U_1410) ),
inference(clausify,[status(thm)],[f_428_6]) ).
cnf(f_428_9,plain,
( r2_hidden(sK81(U_1410,U_1409,U_1408,U_1407),U_1408)
| ~ sP118(U_1407,U_1408,U_1409,U_1410) ),
inference(clausify,[status(thm)],[f_428_6]) ).
cnf(f_428_10,plain,
( U_1407 = k4_tarski(sK80(U_1410,U_1409,U_1408,U_1407),sK81(U_1410,U_1409,U_1408,U_1407))
| ~ sP118(U_1407,U_1408,U_1409,U_1410) ),
inference(clausify,[status(thm)],[f_428_6]) ).
fof(f_429_1,plain,
! [A,B,C,D,E] :
( ? [F,G] :
( r2_hidden(G,k3_xboole_0(C,E))
& r2_hidden(F,k3_xboole_0(B,D))
& A = k4_tarski(F,G) )
| ~ r2_hidden(A,k3_xboole_0(k2_zfmisc_1(B,C),k2_zfmisc_1(D,E))) ),
inference(fof_nnf,[status(thm)],[t104_zfmisc_1]) ).
fof(f_429_2,plain,
! [U_1417,U_1416,U_1415,U_1414,U_1413] :
( ? [U_1412,U_1411] :
( r2_hidden(U_1411,k3_xboole_0(U_1415,U_1413))
& r2_hidden(U_1412,k3_xboole_0(U_1416,U_1414))
& U_1417 = k4_tarski(U_1412,U_1411) )
| ~ r2_hidden(U_1417,k3_xboole_0(k2_zfmisc_1(U_1416,U_1415),k2_zfmisc_1(U_1414,U_1413))) ),
inference(variable_rename,[status(thm)],[f_429_1]) ).
fof(f_429_3,plain,
! [U_1417,U_1416,U_1415,U_1414,U_1413] :
( ? [U_1412] :
( ? [U_1411] :
( r2_hidden(U_1411,k3_xboole_0(U_1415,U_1413))
& U_1417 = k4_tarski(U_1412,U_1411) )
& r2_hidden(U_1412,k3_xboole_0(U_1416,U_1414)) )
| ~ r2_hidden(U_1417,k3_xboole_0(k2_zfmisc_1(U_1416,U_1415),k2_zfmisc_1(U_1414,U_1413))) ),
inference(miniscope,[status(thm)],[f_429_2]) ).
fof(f_429_4,plain,
! [U_1417,U_1416,U_1415,U_1414,U_1413] :
( ( ? [U_1411] :
( r2_hidden(U_1411,k3_xboole_0(U_1415,U_1413))
& U_1417 = k4_tarski(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),U_1411) )
& r2_hidden(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1416,U_1414)) )
| ~ r2_hidden(U_1417,k3_xboole_0(k2_zfmisc_1(U_1416,U_1415),k2_zfmisc_1(U_1414,U_1413))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_1412,sK82(U_1417,U_1416,U_1415,U_1414,U_1413))],[f_429_3]) ).
fof(f_429_5,plain,
! [U_1417,U_1416,U_1415,U_1414,U_1413] :
( ( r2_hidden(sK83(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1415,U_1413))
& U_1417 = k4_tarski(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),sK83(U_1417,U_1416,U_1415,U_1414,U_1413))
& r2_hidden(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1416,U_1414)) )
| ~ r2_hidden(U_1417,k3_xboole_0(k2_zfmisc_1(U_1416,U_1415),k2_zfmisc_1(U_1414,U_1413))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_1411,sK83(U_1417,U_1416,U_1415,U_1414,U_1413))],[f_429_4]) ).
fof(f_429_6,plain,
( ! [U_1414,U_1417,U_1415,U_1416,U_1413] :
( r2_hidden(sK83(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1415,U_1413))
| ~ sP119(U_1414,U_1417,U_1415,U_1416,U_1413) )
& ! [U_1414,U_1417,U_1415,U_1416,U_1413] :
( U_1417 = k4_tarski(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),sK83(U_1417,U_1416,U_1415,U_1414,U_1413))
| ~ sP119(U_1414,U_1417,U_1415,U_1416,U_1413) )
& ! [U_1414,U_1417,U_1415,U_1416,U_1413] :
( r2_hidden(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1416,U_1414))
| ~ sP119(U_1414,U_1417,U_1415,U_1416,U_1413) )
& ! [U_1414,U_1417,U_1415,U_1416,U_1413] :
( sP119(U_1414,U_1417,U_1415,U_1416,U_1413)
| ~ r2_hidden(U_1417,k3_xboole_0(k2_zfmisc_1(U_1416,U_1415),k2_zfmisc_1(U_1414,U_1413))) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP119])],[f_429_5]) ).
cnf(f_429_7,plain,
( sP119(U_1414,U_1417,U_1415,U_1416,U_1413)
| ~ r2_hidden(U_1417,k3_xboole_0(k2_zfmisc_1(U_1416,U_1415),k2_zfmisc_1(U_1414,U_1413))) ),
inference(clausify,[status(thm)],[f_429_6]) ).
cnf(f_429_8,plain,
( r2_hidden(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1416,U_1414))
| ~ sP119(U_1414,U_1417,U_1415,U_1416,U_1413) ),
inference(clausify,[status(thm)],[f_429_6]) ).
cnf(f_429_9,plain,
( U_1417 = k4_tarski(sK82(U_1417,U_1416,U_1415,U_1414,U_1413),sK83(U_1417,U_1416,U_1415,U_1414,U_1413))
| ~ sP119(U_1414,U_1417,U_1415,U_1416,U_1413) ),
inference(clausify,[status(thm)],[f_429_6]) ).
cnf(f_429_10,plain,
( r2_hidden(sK83(U_1417,U_1416,U_1415,U_1414,U_1413),k3_xboole_0(U_1415,U_1413))
| ~ sP119(U_1414,U_1417,U_1415,U_1416,U_1413) ),
inference(clausify,[status(thm)],[f_429_6]) ).
fof(f_430_1,plain,
! [A,B] : r1_tarski(k2_zfmisc_1(A,B),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(A,B)))),
inference(fof_nnf,[status(thm)],[t105_zfmisc_1]) ).
fof(f_430_2,plain,
! [U_1419,U_1418] : r1_tarski(k2_zfmisc_1(U_1419,U_1418),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(U_1419,U_1418)))),
inference(variable_rename,[status(thm)],[f_430_1]) ).
fof(f_430_3,plain,
! [U_1418,U_1419] : r1_tarski(k2_zfmisc_1(U_1419,U_1418),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(U_1419,U_1418)))),
inference(definitional_conversion,[status(esa)],[f_430_2]) ).
cnf(f_430_4,plain,
r1_tarski(k2_zfmisc_1(U_1419,U_1418),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(U_1419,U_1418)))),
inference(clausify,[status(thm)],[f_430_3]) ).
fof(f_431_1,plain,
! [A,B,C,D] :
( ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))
| ~ r2_hidden(B,D)
| ~ r2_hidden(A,C) )
& ( ( r2_hidden(B,D)
& r2_hidden(A,C) )
| ~ r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)) ) ),
inference(fof_nnf,[status(thm)],[t106_zfmisc_1]) ).
fof(f_431_2,plain,
! [U_1423,U_1422,U_1421,U_1420] :
( ( r2_hidden(k4_tarski(U_1423,U_1422),k2_zfmisc_1(U_1421,U_1420))
| ~ r2_hidden(U_1422,U_1420)
| ~ r2_hidden(U_1423,U_1421) )
& ( ( r2_hidden(U_1422,U_1420)
& r2_hidden(U_1423,U_1421) )
| ~ r2_hidden(k4_tarski(U_1423,U_1422),k2_zfmisc_1(U_1421,U_1420)) ) ),
inference(variable_rename,[status(thm)],[f_431_1]) ).
fof(f_431_3,plain,
( ! [U_1431,U_1429,U_1427,U_1425] :
( r2_hidden(k4_tarski(U_1431,U_1429),k2_zfmisc_1(U_1427,U_1425))
| ~ r2_hidden(U_1429,U_1425)
| ~ r2_hidden(U_1431,U_1427) )
& ! [U_1430,U_1428,U_1426,U_1424] :
( ( r2_hidden(U_1428,U_1424)
& r2_hidden(U_1430,U_1426) )
| ~ r2_hidden(k4_tarski(U_1430,U_1428),k2_zfmisc_1(U_1426,U_1424)) ) ),
inference(miniscope,[status(thm)],[f_431_2]) ).
fof(f_431_4,plain,
( ! [U_1430,U_1428,U_1424,U_1426] :
( r2_hidden(U_1428,U_1424)
| ~ sP120(U_1430,U_1428,U_1424,U_1426) )
& ! [U_1430,U_1428,U_1424,U_1426] :
( r2_hidden(U_1430,U_1426)
| ~ sP120(U_1430,U_1428,U_1424,U_1426) )
& ! [U_1431,U_1427,U_1425,U_1429] :
( r2_hidden(k4_tarski(U_1431,U_1429),k2_zfmisc_1(U_1427,U_1425))
| ~ r2_hidden(U_1429,U_1425)
| ~ r2_hidden(U_1431,U_1427) )
& ! [U_1430,U_1428,U_1424,U_1426] :
( sP120(U_1430,U_1428,U_1424,U_1426)
| ~ r2_hidden(k4_tarski(U_1430,U_1428),k2_zfmisc_1(U_1426,U_1424)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP120])],[f_431_3]) ).
cnf(f_431_5,plain,
( sP120(U_1430,U_1428,U_1424,U_1426)
| ~ r2_hidden(k4_tarski(U_1430,U_1428),k2_zfmisc_1(U_1426,U_1424)) ),
inference(clausify,[status(thm)],[f_431_4]) ).
cnf(f_431_6,plain,
( r2_hidden(k4_tarski(U_1431,U_1429),k2_zfmisc_1(U_1427,U_1425))
| ~ r2_hidden(U_1429,U_1425)
| ~ r2_hidden(U_1431,U_1427) ),
inference(clausify,[status(thm)],[f_431_4]) ).
cnf(f_431_7,plain,
( r2_hidden(U_1430,U_1426)
| ~ sP120(U_1430,U_1428,U_1424,U_1426) ),
inference(clausify,[status(thm)],[f_431_4]) ).
cnf(f_431_8,plain,
( r2_hidden(U_1428,U_1424)
| ~ sP120(U_1430,U_1428,U_1424,U_1426) ),
inference(clausify,[status(thm)],[f_431_4]) ).
fof(f_432_1,plain,
! [A,B,C,D] :
( r2_hidden(k4_tarski(B,A),k2_zfmisc_1(D,C))
| ~ r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)) ),
inference(fof_nnf,[status(thm)],[t107_zfmisc_1]) ).
fof(f_432_2,plain,
! [U_1435,U_1434,U_1433,U_1432] :
( r2_hidden(k4_tarski(U_1434,U_1435),k2_zfmisc_1(U_1432,U_1433))
| ~ r2_hidden(k4_tarski(U_1435,U_1434),k2_zfmisc_1(U_1433,U_1432)) ),
inference(variable_rename,[status(thm)],[f_432_1]) ).
fof(f_432_3,plain,
! [U_1432,U_1433,U_1435,U_1434] :
( r2_hidden(k4_tarski(U_1434,U_1435),k2_zfmisc_1(U_1432,U_1433))
| ~ r2_hidden(k4_tarski(U_1435,U_1434),k2_zfmisc_1(U_1433,U_1432)) ),
inference(definitional_conversion,[status(esa)],[f_432_2]) ).
cnf(f_432_4,plain,
( r2_hidden(k4_tarski(U_1434,U_1435),k2_zfmisc_1(U_1432,U_1433))
| ~ r2_hidden(k4_tarski(U_1435,U_1434),k2_zfmisc_1(U_1433,U_1432)) ),
inference(clausify,[status(thm)],[f_432_3]) ).
fof(f_433_1,plain,
! [A,B,C,D] :
( k2_zfmisc_1(A,B) = k2_zfmisc_1(C,D)
| ? [E,F] :
( ( ~ r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B))
& r2_hidden(k4_tarski(E,F),k2_zfmisc_1(C,D)) )
| ( ~ r2_hidden(k4_tarski(E,F),k2_zfmisc_1(C,D))
& r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B)) ) ) ),
inference(fof_nnf,[status(thm)],[t108_zfmisc_1]) ).
fof(f_433_2,plain,
! [U_1441,U_1440,U_1439,U_1438] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| ? [U_1437,U_1436] :
( ( ~ r2_hidden(k4_tarski(U_1437,U_1436),k2_zfmisc_1(U_1441,U_1440))
& r2_hidden(k4_tarski(U_1437,U_1436),k2_zfmisc_1(U_1439,U_1438)) )
| ( ~ r2_hidden(k4_tarski(U_1437,U_1436),k2_zfmisc_1(U_1439,U_1438))
& r2_hidden(k4_tarski(U_1437,U_1436),k2_zfmisc_1(U_1441,U_1440)) ) ) ),
inference(variable_rename,[status(thm)],[f_433_1]) ).
fof(f_433_3,plain,
! [U_1441,U_1440,U_1439,U_1438] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| ? [U_1445,U_1443] :
( ~ r2_hidden(k4_tarski(U_1445,U_1443),k2_zfmisc_1(U_1441,U_1440))
& r2_hidden(k4_tarski(U_1445,U_1443),k2_zfmisc_1(U_1439,U_1438)) )
| ? [U_1444,U_1442] :
( ~ r2_hidden(k4_tarski(U_1444,U_1442),k2_zfmisc_1(U_1439,U_1438))
& r2_hidden(k4_tarski(U_1444,U_1442),k2_zfmisc_1(U_1441,U_1440)) ) ),
inference(miniscope,[status(thm)],[f_433_2]) ).
fof(f_433_4,plain,
! [U_1441,U_1440,U_1439,U_1438] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| ? [U_1445,U_1443] :
( ~ r2_hidden(k4_tarski(U_1445,U_1443),k2_zfmisc_1(U_1441,U_1440))
& r2_hidden(k4_tarski(U_1445,U_1443),k2_zfmisc_1(U_1439,U_1438)) )
| ? [U_1442] :
( ~ r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),U_1442),k2_zfmisc_1(U_1439,U_1438))
& r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),U_1442),k2_zfmisc_1(U_1441,U_1440)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(U_1444,sK84(U_1441,U_1440,U_1439,U_1438))],[f_433_3]) ).
fof(f_433_5,plain,
! [U_1441,U_1440,U_1439,U_1438] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| ? [U_1445,U_1443] :
( ~ r2_hidden(k4_tarski(U_1445,U_1443),k2_zfmisc_1(U_1441,U_1440))
& r2_hidden(k4_tarski(U_1445,U_1443),k2_zfmisc_1(U_1439,U_1438)) )
| ( ~ r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
& r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(U_1442,sK85(U_1441,U_1440,U_1439,U_1438))],[f_433_4]) ).
fof(f_433_6,plain,
! [U_1441,U_1440,U_1439,U_1438] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| ? [U_1443] :
( ~ r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),U_1443),k2_zfmisc_1(U_1441,U_1440))
& r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),U_1443),k2_zfmisc_1(U_1439,U_1438)) )
| ( ~ r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
& r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(U_1445,sK86(U_1441,U_1440,U_1439,U_1438))],[f_433_5]) ).
fof(f_433_7,plain,
! [U_1441,U_1440,U_1439,U_1438] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| ( ~ r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),sK87(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440))
& r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),sK87(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438)) )
| ( ~ r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
& r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(U_1443,sK87(U_1441,U_1440,U_1439,U_1438))],[f_433_6]) ).
fof(f_433_8,plain,
( ! [U_1440,U_1441,U_1438,U_1439] :
( ~ r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),sK87(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440))
| ~ sP122(U_1440,U_1441,U_1438,U_1439) )
& ! [U_1440,U_1441,U_1438,U_1439] :
( r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),sK87(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
| ~ sP122(U_1440,U_1441,U_1438,U_1439) )
& ! [U_1440,U_1441,U_1438,U_1439] :
( ~ r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
| ~ sP121(U_1440,U_1441,U_1438,U_1439) )
& ! [U_1440,U_1441,U_1438,U_1439] :
( r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440))
| ~ sP121(U_1440,U_1441,U_1438,U_1439) )
& ! [U_1440,U_1441,U_1438,U_1439] :
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| sP122(U_1440,U_1441,U_1438,U_1439)
| sP121(U_1440,U_1441,U_1438,U_1439) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP121,sP122])],[f_433_7]) ).
cnf(f_433_9,plain,
( k2_zfmisc_1(U_1441,U_1440) = k2_zfmisc_1(U_1439,U_1438)
| sP122(U_1440,U_1441,U_1438,U_1439)
| sP121(U_1440,U_1441,U_1438,U_1439) ),
inference(clausify,[status(thm)],[f_433_8]) ).
cnf(f_433_10,plain,
( r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440))
| ~ sP121(U_1440,U_1441,U_1438,U_1439) ),
inference(clausify,[status(thm)],[f_433_8]) ).
cnf(f_433_11,plain,
( ~ r2_hidden(k4_tarski(sK84(U_1441,U_1440,U_1439,U_1438),sK85(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
| ~ sP121(U_1440,U_1441,U_1438,U_1439) ),
inference(clausify,[status(thm)],[f_433_8]) ).
cnf(f_433_12,plain,
( r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),sK87(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1439,U_1438))
| ~ sP122(U_1440,U_1441,U_1438,U_1439) ),
inference(clausify,[status(thm)],[f_433_8]) ).
cnf(f_433_13,plain,
( ~ r2_hidden(k4_tarski(sK86(U_1441,U_1440,U_1439,U_1438),sK87(U_1441,U_1440,U_1439,U_1438)),k2_zfmisc_1(U_1441,U_1440))
| ~ sP122(U_1440,U_1441,U_1438,U_1439) ),
inference(clausify,[status(thm)],[f_433_8]) ).
fof(f_434_1,plain,
! [A,B,C,D] :
( r1_tarski(A,D)
| ? [E,F] :
( ~ r2_hidden(k4_tarski(E,F),D)
& r2_hidden(k4_tarski(E,F),A) )
| ~ r1_tarski(A,k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t109_zfmisc_1]) ).
fof(f_434_2,plain,
! [U_1451,U_1450,U_1449,U_1448] :
( r1_tarski(U_1451,U_1448)
| ? [U_1447,U_1446] :
( ~ r2_hidden(k4_tarski(U_1447,U_1446),U_1448)
& r2_hidden(k4_tarski(U_1447,U_1446),U_1451) )
| ~ r1_tarski(U_1451,k2_zfmisc_1(U_1450,U_1449)) ),
inference(variable_rename,[status(thm)],[f_434_1]) ).
fof(f_434_3,plain,
! [U_1451,U_1450,U_1449,U_1448] :
( r1_tarski(U_1451,U_1448)
| ? [U_1446] :
( ~ r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),U_1446),U_1448)
& r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),U_1446),U_1451) )
| ~ r1_tarski(U_1451,k2_zfmisc_1(U_1450,U_1449)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(U_1447,sK88(U_1451,U_1450,U_1449,U_1448))],[f_434_2]) ).
fof(f_434_4,plain,
! [U_1451,U_1450,U_1449,U_1448] :
( r1_tarski(U_1451,U_1448)
| ( ~ r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),sK89(U_1451,U_1450,U_1449,U_1448)),U_1448)
& r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),sK89(U_1451,U_1450,U_1449,U_1448)),U_1451) )
| ~ r1_tarski(U_1451,k2_zfmisc_1(U_1450,U_1449)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(U_1446,sK89(U_1451,U_1450,U_1449,U_1448))],[f_434_3]) ).
fof(f_434_5,plain,
( ! [U_1448,U_1450,U_1449,U_1451] :
( ~ r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),sK89(U_1451,U_1450,U_1449,U_1448)),U_1448)
| ~ sP123(U_1448,U_1450,U_1449,U_1451) )
& ! [U_1448,U_1450,U_1449,U_1451] :
( r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),sK89(U_1451,U_1450,U_1449,U_1448)),U_1451)
| ~ sP123(U_1448,U_1450,U_1449,U_1451) )
& ! [U_1448,U_1450,U_1449,U_1451] :
( r1_tarski(U_1451,U_1448)
| sP123(U_1448,U_1450,U_1449,U_1451)
| ~ r1_tarski(U_1451,k2_zfmisc_1(U_1450,U_1449)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP123])],[f_434_4]) ).
cnf(f_434_6,plain,
( r1_tarski(U_1451,U_1448)
| sP123(U_1448,U_1450,U_1449,U_1451)
| ~ r1_tarski(U_1451,k2_zfmisc_1(U_1450,U_1449)) ),
inference(clausify,[status(thm)],[f_434_5]) ).
cnf(f_434_7,plain,
( r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),sK89(U_1451,U_1450,U_1449,U_1448)),U_1451)
| ~ sP123(U_1448,U_1450,U_1449,U_1451) ),
inference(clausify,[status(thm)],[f_434_5]) ).
cnf(f_434_8,plain,
( ~ r2_hidden(k4_tarski(sK88(U_1451,U_1450,U_1449,U_1448),sK89(U_1451,U_1450,U_1449,U_1448)),U_1448)
| ~ sP123(U_1448,U_1450,U_1449,U_1451) ),
inference(clausify,[status(thm)],[f_434_5]) ).
fof(f_435_1,plain,
! [A,B,C,D,E,F] :
( A = D
| ? [G,H] :
( ( ~ r2_hidden(k4_tarski(G,H),A)
& r2_hidden(k4_tarski(G,H),D) )
| ( ~ r2_hidden(k4_tarski(G,H),D)
& r2_hidden(k4_tarski(G,H),A) ) )
| ~ r1_tarski(D,k2_zfmisc_1(E,F))
| ~ r1_tarski(A,k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t110_zfmisc_1]) ).
fof(f_435_2,plain,
! [U_1459,U_1458,U_1457,U_1456,U_1455,U_1454] :
( U_1459 = U_1456
| ? [U_1453,U_1452] :
( ( ~ r2_hidden(k4_tarski(U_1453,U_1452),U_1459)
& r2_hidden(k4_tarski(U_1453,U_1452),U_1456) )
| ( ~ r2_hidden(k4_tarski(U_1453,U_1452),U_1456)
& r2_hidden(k4_tarski(U_1453,U_1452),U_1459) ) )
| ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457)) ),
inference(variable_rename,[status(thm)],[f_435_1]) ).
fof(f_435_3,plain,
! [U_1459,U_1458,U_1457,U_1456] :
( ! [U_1455,U_1454] : ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| ? [U_1463,U_1461] :
( ~ r2_hidden(k4_tarski(U_1463,U_1461),U_1459)
& r2_hidden(k4_tarski(U_1463,U_1461),U_1456) )
| ? [U_1462,U_1460] :
( ~ r2_hidden(k4_tarski(U_1462,U_1460),U_1456)
& r2_hidden(k4_tarski(U_1462,U_1460),U_1459) )
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ),
inference(miniscope,[status(thm)],[f_435_2]) ).
fof(f_435_4,plain,
! [U_1459,U_1458,U_1457,U_1456] :
( ! [U_1455,U_1454] : ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| ? [U_1463,U_1461] :
( ~ r2_hidden(k4_tarski(U_1463,U_1461),U_1459)
& r2_hidden(k4_tarski(U_1463,U_1461),U_1456) )
| ? [U_1460] :
( ~ r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),U_1460),U_1456)
& r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),U_1460),U_1459) )
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(U_1462,sK90(U_1459,U_1458,U_1457,U_1456))],[f_435_3]) ).
fof(f_435_5,plain,
! [U_1459,U_1458,U_1457,U_1456] :
( ! [U_1455,U_1454] : ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| ? [U_1463,U_1461] :
( ~ r2_hidden(k4_tarski(U_1463,U_1461),U_1459)
& r2_hidden(k4_tarski(U_1463,U_1461),U_1456) )
| ( ~ r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1456)
& r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1459) )
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(U_1460,sK91(U_1459,U_1458,U_1457,U_1456))],[f_435_4]) ).
fof(f_435_6,plain,
! [U_1459,U_1458,U_1457,U_1456] :
( ! [U_1455,U_1454] : ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| ? [U_1461] :
( ~ r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),U_1461),U_1459)
& r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),U_1461),U_1456) )
| ( ~ r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1456)
& r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1459) )
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(U_1463,sK92(U_1459,U_1458,U_1457,U_1456))],[f_435_5]) ).
fof(f_435_7,plain,
! [U_1459,U_1458,U_1457,U_1456] :
( ! [U_1455,U_1454] : ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| ( ~ r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),sK93(U_1459,U_1458,U_1457,U_1456)),U_1459)
& r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),sK93(U_1459,U_1458,U_1457,U_1456)),U_1456) )
| ( ~ r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1456)
& r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1459) )
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(U_1461,sK93(U_1459,U_1458,U_1457,U_1456))],[f_435_6]) ).
fof(f_435_8,plain,
( ! [U_1457,U_1456,U_1458,U_1459] :
( ~ r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),sK93(U_1459,U_1458,U_1457,U_1456)),U_1459)
| ~ sP125(U_1457,U_1456,U_1458,U_1459) )
& ! [U_1457,U_1456,U_1458,U_1459] :
( r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),sK93(U_1459,U_1458,U_1457,U_1456)),U_1456)
| ~ sP125(U_1457,U_1456,U_1458,U_1459) )
& ! [U_1457,U_1456,U_1458,U_1459] :
( ~ r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1456)
| ~ sP124(U_1457,U_1456,U_1458,U_1459) )
& ! [U_1457,U_1456,U_1458,U_1459] :
( r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1459)
| ~ sP124(U_1457,U_1456,U_1458,U_1459) )
& ! [U_1457,U_1456,U_1455,U_1454,U_1458,U_1459] :
( ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| sP125(U_1457,U_1456,U_1458,U_1459)
| sP124(U_1457,U_1456,U_1458,U_1459)
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP124,sP125])],[f_435_7]) ).
cnf(f_435_9,plain,
( ~ r1_tarski(U_1456,k2_zfmisc_1(U_1455,U_1454))
| sP125(U_1457,U_1456,U_1458,U_1459)
| sP124(U_1457,U_1456,U_1458,U_1459)
| ~ r1_tarski(U_1459,k2_zfmisc_1(U_1458,U_1457))
| U_1459 = U_1456 ),
inference(clausify,[status(thm)],[f_435_8]) ).
cnf(f_435_10,plain,
( r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1459)
| ~ sP124(U_1457,U_1456,U_1458,U_1459) ),
inference(clausify,[status(thm)],[f_435_8]) ).
cnf(f_435_11,plain,
( ~ r2_hidden(k4_tarski(sK90(U_1459,U_1458,U_1457,U_1456),sK91(U_1459,U_1458,U_1457,U_1456)),U_1456)
| ~ sP124(U_1457,U_1456,U_1458,U_1459) ),
inference(clausify,[status(thm)],[f_435_8]) ).
cnf(f_435_12,plain,
( r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),sK93(U_1459,U_1458,U_1457,U_1456)),U_1456)
| ~ sP125(U_1457,U_1456,U_1458,U_1459) ),
inference(clausify,[status(thm)],[f_435_8]) ).
cnf(f_435_13,plain,
( ~ r2_hidden(k4_tarski(sK92(U_1459,U_1458,U_1457,U_1456),sK93(U_1459,U_1458,U_1457,U_1456)),U_1459)
| ~ sP125(U_1457,U_1456,U_1458,U_1459) ),
inference(clausify,[status(thm)],[f_435_8]) ).
fof(f_436_1,plain,
! [A,B] :
( r1_tarski(A,B)
| ? [C,D] :
( ~ r2_hidden(k4_tarski(C,D),B)
& r2_hidden(k4_tarski(C,D),A) )
| ? [C] :
( ! [D,E] : C != k4_tarski(D,E)
& r2_hidden(C,A) ) ),
inference(fof_nnf,[status(thm)],[t111_zfmisc_1]) ).
fof(f_436_2,plain,
! [U_1470,U_1469] :
( r1_tarski(U_1470,U_1469)
| ? [U_1468,U_1467] :
( ~ r2_hidden(k4_tarski(U_1468,U_1467),U_1469)
& r2_hidden(k4_tarski(U_1468,U_1467),U_1470) )
| ? [U_1466] :
( ! [U_1465,U_1464] : U_1466 != k4_tarski(U_1465,U_1464)
& r2_hidden(U_1466,U_1470) ) ),
inference(variable_rename,[status(thm)],[f_436_1]) ).
fof(f_436_3,plain,
! [U_1470,U_1469] :
( r1_tarski(U_1470,U_1469)
| ? [U_1468,U_1467] :
( ~ r2_hidden(k4_tarski(U_1468,U_1467),U_1469)
& r2_hidden(k4_tarski(U_1468,U_1467),U_1470) )
| ( ! [U_1465,U_1464] : sK94(U_1470,U_1469) != k4_tarski(U_1465,U_1464)
& r2_hidden(sK94(U_1470,U_1469),U_1470) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(U_1466,sK94(U_1470,U_1469))],[f_436_2]) ).
fof(f_436_4,plain,
! [U_1470,U_1469] :
( r1_tarski(U_1470,U_1469)
| ? [U_1467] :
( ~ r2_hidden(k4_tarski(sK95(U_1470,U_1469),U_1467),U_1469)
& r2_hidden(k4_tarski(sK95(U_1470,U_1469),U_1467),U_1470) )
| ( ! [U_1465,U_1464] : sK94(U_1470,U_1469) != k4_tarski(U_1465,U_1464)
& r2_hidden(sK94(U_1470,U_1469),U_1470) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(U_1468,sK95(U_1470,U_1469))],[f_436_3]) ).
fof(f_436_5,plain,
! [U_1470,U_1469] :
( r1_tarski(U_1470,U_1469)
| ( ~ r2_hidden(k4_tarski(sK95(U_1470,U_1469),sK96(U_1470,U_1469)),U_1469)
& r2_hidden(k4_tarski(sK95(U_1470,U_1469),sK96(U_1470,U_1469)),U_1470) )
| ( ! [U_1465,U_1464] : sK94(U_1470,U_1469) != k4_tarski(U_1465,U_1464)
& r2_hidden(sK94(U_1470,U_1469),U_1470) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96]),skolemize(U_1467,sK96(U_1470,U_1469))],[f_436_4]) ).
fof(f_436_6,plain,
( ! [U_1470,U_1469] :
( ~ r2_hidden(k4_tarski(sK95(U_1470,U_1469),sK96(U_1470,U_1469)),U_1469)
| ~ sP127(U_1470,U_1469) )
& ! [U_1470,U_1469] :
( r2_hidden(k4_tarski(sK95(U_1470,U_1469),sK96(U_1470,U_1469)),U_1470)
| ~ sP127(U_1470,U_1469) )
& ! [U_1464,U_1465,U_1470,U_1469] :
( sK94(U_1470,U_1469) != k4_tarski(U_1465,U_1464)
| ~ sP126(U_1464,U_1465,U_1470,U_1469) )
& ! [U_1464,U_1465,U_1470,U_1469] :
( r2_hidden(sK94(U_1470,U_1469),U_1470)
| ~ sP126(U_1464,U_1465,U_1470,U_1469) )
& ! [U_1464,U_1465,U_1470,U_1469] :
( r1_tarski(U_1470,U_1469)
| sP127(U_1470,U_1469)
| sP126(U_1464,U_1465,U_1470,U_1469) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP126,sP127])],[f_436_5]) ).
cnf(f_436_7,plain,
( r1_tarski(U_1470,U_1469)
| sP127(U_1470,U_1469)
| sP126(U_1464,U_1465,U_1470,U_1469) ),
inference(clausify,[status(thm)],[f_436_6]) ).
cnf(f_436_8,plain,
( r2_hidden(sK94(U_1470,U_1469),U_1470)
| ~ sP126(U_1464,U_1465,U_1470,U_1469) ),
inference(clausify,[status(thm)],[f_436_6]) ).
cnf(f_436_9,plain,
( sK94(U_1470,U_1469) != k4_tarski(U_1465,U_1464)
| ~ sP126(U_1464,U_1465,U_1470,U_1469) ),
inference(clausify,[status(thm)],[f_436_6]) ).
cnf(f_436_10,plain,
( r2_hidden(k4_tarski(sK95(U_1470,U_1469),sK96(U_1470,U_1469)),U_1470)
| ~ sP127(U_1470,U_1469) ),
inference(clausify,[status(thm)],[f_436_6]) ).
cnf(f_436_11,plain,
( ~ r2_hidden(k4_tarski(sK95(U_1470,U_1469),sK96(U_1470,U_1469)),U_1469)
| ~ sP127(U_1470,U_1469) ),
inference(clausify,[status(thm)],[f_436_6]) ).
fof(f_437_1,plain,
! [A,B] :
( A = B
| ? [C,D] :
( ( ~ r2_hidden(k4_tarski(C,D),A)
& r2_hidden(k4_tarski(C,D),B) )
| ( ~ r2_hidden(k4_tarski(C,D),B)
& r2_hidden(k4_tarski(C,D),A) ) )
| ? [C] :
( ! [D,E] : C != k4_tarski(D,E)
& r2_hidden(C,B) )
| ? [C] :
( ! [D,E] : C != k4_tarski(D,E)
& r2_hidden(C,A) ) ),
inference(fof_nnf,[status(thm)],[t112_zfmisc_1]) ).
fof(f_437_2,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1478,U_1477] :
( ( ~ r2_hidden(k4_tarski(U_1478,U_1477),U_1480)
& r2_hidden(k4_tarski(U_1478,U_1477),U_1479) )
| ( ~ r2_hidden(k4_tarski(U_1478,U_1477),U_1479)
& r2_hidden(k4_tarski(U_1478,U_1477),U_1480) ) )
| ? [U_1476] :
( ! [U_1475,U_1474] : U_1476 != k4_tarski(U_1475,U_1474)
& r2_hidden(U_1476,U_1479) )
| ? [U_1473] :
( ! [U_1472,U_1471] : U_1473 != k4_tarski(U_1472,U_1471)
& r2_hidden(U_1473,U_1480) ) ),
inference(variable_rename,[status(thm)],[f_437_1]) ).
fof(f_437_3,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1484,U_1482] :
( ~ r2_hidden(k4_tarski(U_1484,U_1482),U_1480)
& r2_hidden(k4_tarski(U_1484,U_1482),U_1479) )
| ? [U_1483,U_1481] :
( ~ r2_hidden(k4_tarski(U_1483,U_1481),U_1479)
& r2_hidden(k4_tarski(U_1483,U_1481),U_1480) )
| ? [U_1476] :
( ! [U_1475,U_1474] : U_1476 != k4_tarski(U_1475,U_1474)
& r2_hidden(U_1476,U_1479) )
| ? [U_1473] :
( ! [U_1472,U_1471] : U_1473 != k4_tarski(U_1472,U_1471)
& r2_hidden(U_1473,U_1480) ) ),
inference(miniscope,[status(thm)],[f_437_2]) ).
fof(f_437_4,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1484,U_1482] :
( ~ r2_hidden(k4_tarski(U_1484,U_1482),U_1480)
& r2_hidden(k4_tarski(U_1484,U_1482),U_1479) )
| ? [U_1483,U_1481] :
( ~ r2_hidden(k4_tarski(U_1483,U_1481),U_1479)
& r2_hidden(k4_tarski(U_1483,U_1481),U_1480) )
| ? [U_1476] :
( ! [U_1475,U_1474] : U_1476 != k4_tarski(U_1475,U_1474)
& r2_hidden(U_1476,U_1479) )
| ( ! [U_1472,U_1471] : sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
& r2_hidden(sK97(U_1480,U_1479),U_1480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(U_1473,sK97(U_1480,U_1479))],[f_437_3]) ).
fof(f_437_5,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1484,U_1482] :
( ~ r2_hidden(k4_tarski(U_1484,U_1482),U_1480)
& r2_hidden(k4_tarski(U_1484,U_1482),U_1479) )
| ? [U_1483,U_1481] :
( ~ r2_hidden(k4_tarski(U_1483,U_1481),U_1479)
& r2_hidden(k4_tarski(U_1483,U_1481),U_1480) )
| ( ! [U_1475,U_1474] : sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
& r2_hidden(sK98(U_1480,U_1479),U_1479) )
| ( ! [U_1472,U_1471] : sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
& r2_hidden(sK97(U_1480,U_1479),U_1480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98]),skolemize(U_1476,sK98(U_1480,U_1479))],[f_437_4]) ).
fof(f_437_6,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1484,U_1482] :
( ~ r2_hidden(k4_tarski(U_1484,U_1482),U_1480)
& r2_hidden(k4_tarski(U_1484,U_1482),U_1479) )
| ? [U_1481] :
( ~ r2_hidden(k4_tarski(sK99(U_1480,U_1479),U_1481),U_1479)
& r2_hidden(k4_tarski(sK99(U_1480,U_1479),U_1481),U_1480) )
| ( ! [U_1475,U_1474] : sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
& r2_hidden(sK98(U_1480,U_1479),U_1479) )
| ( ! [U_1472,U_1471] : sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
& r2_hidden(sK97(U_1480,U_1479),U_1480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99]),skolemize(U_1483,sK99(U_1480,U_1479))],[f_437_5]) ).
fof(f_437_7,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1484,U_1482] :
( ~ r2_hidden(k4_tarski(U_1484,U_1482),U_1480)
& r2_hidden(k4_tarski(U_1484,U_1482),U_1479) )
| ( ~ r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1479)
& r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1480) )
| ( ! [U_1475,U_1474] : sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
& r2_hidden(sK98(U_1480,U_1479),U_1479) )
| ( ! [U_1472,U_1471] : sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
& r2_hidden(sK97(U_1480,U_1479),U_1480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(U_1481,sK100(U_1480,U_1479))],[f_437_6]) ).
fof(f_437_8,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ? [U_1482] :
( ~ r2_hidden(k4_tarski(sK101(U_1480,U_1479),U_1482),U_1480)
& r2_hidden(k4_tarski(sK101(U_1480,U_1479),U_1482),U_1479) )
| ( ~ r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1479)
& r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1480) )
| ( ! [U_1475,U_1474] : sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
& r2_hidden(sK98(U_1480,U_1479),U_1479) )
| ( ! [U_1472,U_1471] : sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
& r2_hidden(sK97(U_1480,U_1479),U_1480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101]),skolemize(U_1484,sK101(U_1480,U_1479))],[f_437_7]) ).
fof(f_437_9,plain,
! [U_1480,U_1479] :
( U_1480 = U_1479
| ( ~ r2_hidden(k4_tarski(sK101(U_1480,U_1479),sK102(U_1480,U_1479)),U_1480)
& r2_hidden(k4_tarski(sK101(U_1480,U_1479),sK102(U_1480,U_1479)),U_1479) )
| ( ~ r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1479)
& r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1480) )
| ( ! [U_1475,U_1474] : sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
& r2_hidden(sK98(U_1480,U_1479),U_1479) )
| ( ! [U_1472,U_1471] : sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
& r2_hidden(sK97(U_1480,U_1479),U_1480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102]),skolemize(U_1482,sK102(U_1480,U_1479))],[f_437_8]) ).
fof(f_437_10,plain,
( ! [U_1479,U_1480] :
( ~ r2_hidden(k4_tarski(sK101(U_1480,U_1479),sK102(U_1480,U_1479)),U_1480)
| ~ sP131(U_1479,U_1480) )
& ! [U_1479,U_1480] :
( r2_hidden(k4_tarski(sK101(U_1480,U_1479),sK102(U_1480,U_1479)),U_1479)
| ~ sP131(U_1479,U_1480) )
& ! [U_1479,U_1480] :
( ~ r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1479)
| ~ sP130(U_1479,U_1480) )
& ! [U_1479,U_1480] :
( r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1480)
| ~ sP130(U_1479,U_1480) )
& ! [U_1475,U_1479,U_1480,U_1474] :
( sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
| ~ sP129(U_1475,U_1479,U_1480,U_1474) )
& ! [U_1475,U_1479,U_1480,U_1474] :
( r2_hidden(sK98(U_1480,U_1479),U_1479)
| ~ sP129(U_1475,U_1479,U_1480,U_1474) )
& ! [U_1471,U_1472,U_1479,U_1480] :
( sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
| ~ sP128(U_1471,U_1472,U_1479,U_1480) )
& ! [U_1471,U_1472,U_1479,U_1480] :
( r2_hidden(sK97(U_1480,U_1479),U_1480)
| ~ sP128(U_1471,U_1472,U_1479,U_1480) )
& ! [U_1475,U_1471,U_1472,U_1479,U_1480,U_1474] :
( U_1480 = U_1479
| sP131(U_1479,U_1480)
| sP130(U_1479,U_1480)
| sP129(U_1475,U_1479,U_1480,U_1474)
| sP128(U_1471,U_1472,U_1479,U_1480) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP128,sP129,sP130,sP131])],[f_437_9]) ).
cnf(f_437_11,plain,
( U_1480 = U_1479
| sP131(U_1479,U_1480)
| sP130(U_1479,U_1480)
| sP129(U_1475,U_1479,U_1480,U_1474)
| sP128(U_1471,U_1472,U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_12,plain,
( r2_hidden(sK97(U_1480,U_1479),U_1480)
| ~ sP128(U_1471,U_1472,U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_13,plain,
( sK97(U_1480,U_1479) != k4_tarski(U_1472,U_1471)
| ~ sP128(U_1471,U_1472,U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_14,plain,
( r2_hidden(sK98(U_1480,U_1479),U_1479)
| ~ sP129(U_1475,U_1479,U_1480,U_1474) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_15,plain,
( sK98(U_1480,U_1479) != k4_tarski(U_1475,U_1474)
| ~ sP129(U_1475,U_1479,U_1480,U_1474) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_16,plain,
( r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1480)
| ~ sP130(U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_17,plain,
( ~ r2_hidden(k4_tarski(sK99(U_1480,U_1479),sK100(U_1480,U_1479)),U_1479)
| ~ sP130(U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_18,plain,
( r2_hidden(k4_tarski(sK101(U_1480,U_1479),sK102(U_1480,U_1479)),U_1479)
| ~ sP131(U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
cnf(f_437_19,plain,
( ~ r2_hidden(k4_tarski(sK101(U_1480,U_1479),sK102(U_1480,U_1479)),U_1480)
| ~ sP131(U_1479,U_1480) ),
inference(clausify,[status(thm)],[f_437_10]) ).
fof(f_438_1,plain,
! [A,B] :
( ( k2_zfmisc_1(A,B) = k1_xboole_0
| ( B != k1_xboole_0
& A != k1_xboole_0 ) )
& ( B = k1_xboole_0
| A = k1_xboole_0
| k2_zfmisc_1(A,B) != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[t113_zfmisc_1]) ).
fof(f_438_2,plain,
! [U_1486,U_1485] :
( ( k2_zfmisc_1(U_1486,U_1485) = k1_xboole_0
| ( U_1485 != k1_xboole_0
& U_1486 != k1_xboole_0 ) )
& ( U_1485 = k1_xboole_0
| U_1486 = k1_xboole_0
| k2_zfmisc_1(U_1486,U_1485) != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_438_1]) ).
fof(f_438_3,plain,
( ! [U_1490,U_1488] :
( k2_zfmisc_1(U_1490,U_1488) = k1_xboole_0
| ( U_1488 != k1_xboole_0
& U_1490 != k1_xboole_0 ) )
& ! [U_1489,U_1487] :
( U_1487 = k1_xboole_0
| U_1489 = k1_xboole_0
| k2_zfmisc_1(U_1489,U_1487) != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_438_2]) ).
fof(f_438_4,plain,
( ! [U_1488,U_1490] :
( U_1488 != k1_xboole_0
| ~ sP132(U_1488,U_1490) )
& ! [U_1488,U_1490] :
( U_1490 != k1_xboole_0
| ~ sP132(U_1488,U_1490) )
& ! [U_1488,U_1490] :
( k2_zfmisc_1(U_1490,U_1488) = k1_xboole_0
| sP132(U_1488,U_1490) )
& ! [U_1489,U_1487] :
( U_1487 = k1_xboole_0
| U_1489 = k1_xboole_0
| k2_zfmisc_1(U_1489,U_1487) != k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP132])],[f_438_3]) ).
cnf(f_438_5,plain,
( U_1487 = k1_xboole_0
| U_1489 = k1_xboole_0
| k2_zfmisc_1(U_1489,U_1487) != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_438_4]) ).
cnf(f_438_6,plain,
( k2_zfmisc_1(U_1490,U_1488) = k1_xboole_0
| sP132(U_1488,U_1490) ),
inference(clausify,[status(thm)],[f_438_4]) ).
cnf(f_438_7,plain,
( U_1490 != k1_xboole_0
| ~ sP132(U_1488,U_1490) ),
inference(clausify,[status(thm)],[f_438_4]) ).
cnf(f_438_8,plain,
( U_1488 != k1_xboole_0
| ~ sP132(U_1488,U_1490) ),
inference(clausify,[status(thm)],[f_438_4]) ).
fof(f_439_1,plain,
! [A,B] :
( A = B
| B = k1_xboole_0
| A = k1_xboole_0
| k2_zfmisc_1(A,B) != k2_zfmisc_1(B,A) ),
inference(fof_nnf,[status(thm)],[t114_zfmisc_1]) ).
fof(f_439_2,plain,
! [U_1492,U_1491] :
( U_1492 = U_1491
| U_1491 = k1_xboole_0
| U_1492 = k1_xboole_0
| k2_zfmisc_1(U_1492,U_1491) != k2_zfmisc_1(U_1491,U_1492) ),
inference(variable_rename,[status(thm)],[f_439_1]) ).
fof(f_439_3,plain,
! [U_1491,U_1492] :
( U_1492 = U_1491
| U_1491 = k1_xboole_0
| U_1492 = k1_xboole_0
| k2_zfmisc_1(U_1492,U_1491) != k2_zfmisc_1(U_1491,U_1492) ),
inference(definitional_conversion,[status(esa)],[f_439_2]) ).
cnf(f_439_4,plain,
( U_1492 = U_1491
| U_1491 = k1_xboole_0
| U_1492 = k1_xboole_0
| k2_zfmisc_1(U_1492,U_1491) != k2_zfmisc_1(U_1491,U_1492) ),
inference(clausify,[status(thm)],[f_439_3]) ).
fof(f_440_1,plain,
! [A,B] :
( A = B
| k2_zfmisc_1(A,A) != k2_zfmisc_1(B,B) ),
inference(fof_nnf,[status(thm)],[t115_zfmisc_1]) ).
fof(f_440_2,plain,
! [U_1494,U_1493] :
( U_1494 = U_1493
| k2_zfmisc_1(U_1494,U_1494) != k2_zfmisc_1(U_1493,U_1493) ),
inference(variable_rename,[status(thm)],[f_440_1]) ).
fof(f_440_3,plain,
! [U_1493,U_1494] :
( U_1494 = U_1493
| k2_zfmisc_1(U_1494,U_1494) != k2_zfmisc_1(U_1493,U_1493) ),
inference(definitional_conversion,[status(esa)],[f_440_2]) ).
cnf(f_440_4,plain,
( U_1494 = U_1493
| k2_zfmisc_1(U_1494,U_1494) != k2_zfmisc_1(U_1493,U_1493) ),
inference(clausify,[status(thm)],[f_440_3]) ).
fof(f_441_1,plain,
! [A] :
( A = k1_xboole_0
| ~ r1_tarski(A,k2_zfmisc_1(A,A)) ),
inference(fof_nnf,[status(thm)],[t116_zfmisc_1]) ).
fof(f_441_2,plain,
! [U_1495] :
( U_1495 = k1_xboole_0
| ~ r1_tarski(U_1495,k2_zfmisc_1(U_1495,U_1495)) ),
inference(variable_rename,[status(thm)],[f_441_1]) ).
fof(f_441_3,plain,
! [U_1495] :
( U_1495 = k1_xboole_0
| ~ r1_tarski(U_1495,k2_zfmisc_1(U_1495,U_1495)) ),
inference(definitional_conversion,[status(esa)],[f_441_2]) ).
cnf(f_441_4,plain,
( U_1495 = k1_xboole_0
| ~ r1_tarski(U_1495,k2_zfmisc_1(U_1495,U_1495)) ),
inference(clausify,[status(thm)],[f_441_3]) ).
fof(f_442_1,plain,
! [A,B,C] :
( r1_tarski(B,C)
| ( ~ r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(A,C))
& ~ r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(C,A)) )
| A = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t117_zfmisc_1]) ).
fof(f_442_2,plain,
! [U_1498,U_1497,U_1496] :
( r1_tarski(U_1497,U_1496)
| ( ~ r1_tarski(k2_zfmisc_1(U_1498,U_1497),k2_zfmisc_1(U_1498,U_1496))
& ~ r1_tarski(k2_zfmisc_1(U_1497,U_1498),k2_zfmisc_1(U_1496,U_1498)) )
| U_1498 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_442_1]) ).
fof(f_442_3,plain,
! [U_1498] :
( ! [U_1497,U_1496] :
( r1_tarski(U_1497,U_1496)
| ( ~ r1_tarski(k2_zfmisc_1(U_1498,U_1497),k2_zfmisc_1(U_1498,U_1496))
& ~ r1_tarski(k2_zfmisc_1(U_1497,U_1498),k2_zfmisc_1(U_1496,U_1498)) ) )
| U_1498 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_442_2]) ).
fof(f_442_4,plain,
( ! [U_1498,U_1496,U_1497] :
( ~ r1_tarski(k2_zfmisc_1(U_1498,U_1497),k2_zfmisc_1(U_1498,U_1496))
| ~ sP133(U_1498,U_1496,U_1497) )
& ! [U_1498,U_1496,U_1497] :
( ~ r1_tarski(k2_zfmisc_1(U_1497,U_1498),k2_zfmisc_1(U_1496,U_1498))
| ~ sP133(U_1498,U_1496,U_1497) )
& ! [U_1498,U_1496,U_1497] :
( r1_tarski(U_1497,U_1496)
| sP133(U_1498,U_1496,U_1497)
| U_1498 = k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP133])],[f_442_3]) ).
cnf(f_442_5,plain,
( r1_tarski(U_1497,U_1496)
| sP133(U_1498,U_1496,U_1497)
| U_1498 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_442_4]) ).
cnf(f_442_6,plain,
( ~ r1_tarski(k2_zfmisc_1(U_1497,U_1498),k2_zfmisc_1(U_1496,U_1498))
| ~ sP133(U_1498,U_1496,U_1497) ),
inference(clausify,[status(thm)],[f_442_4]) ).
cnf(f_442_7,plain,
( ~ r1_tarski(k2_zfmisc_1(U_1498,U_1497),k2_zfmisc_1(U_1498,U_1496))
| ~ sP133(U_1498,U_1496,U_1497) ),
inference(clausify,[status(thm)],[f_442_4]) ).
fof(f_443_1,plain,
! [A,B,C] :
( ( r1_tarski(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) )
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t118_zfmisc_1]) ).
fof(f_443_2,plain,
! [U_1501,U_1500,U_1499] :
( ( r1_tarski(k2_zfmisc_1(U_1499,U_1501),k2_zfmisc_1(U_1499,U_1500))
& r1_tarski(k2_zfmisc_1(U_1501,U_1499),k2_zfmisc_1(U_1500,U_1499)) )
| ~ r1_tarski(U_1501,U_1500) ),
inference(variable_rename,[status(thm)],[f_443_1]) ).
fof(f_443_3,plain,
! [U_1501,U_1500] :
( ( ! [U_1503] : r1_tarski(k2_zfmisc_1(U_1503,U_1501),k2_zfmisc_1(U_1503,U_1500))
& ! [U_1502] : r1_tarski(k2_zfmisc_1(U_1501,U_1502),k2_zfmisc_1(U_1500,U_1502)) )
| ~ r1_tarski(U_1501,U_1500) ),
inference(miniscope,[status(thm)],[f_443_2]) ).
fof(f_443_4,plain,
( ! [U_1502,U_1503,U_1501,U_1500] :
( r1_tarski(k2_zfmisc_1(U_1503,U_1501),k2_zfmisc_1(U_1503,U_1500))
| ~ sP134(U_1502,U_1503,U_1501,U_1500) )
& ! [U_1502,U_1503,U_1501,U_1500] :
( r1_tarski(k2_zfmisc_1(U_1501,U_1502),k2_zfmisc_1(U_1500,U_1502))
| ~ sP134(U_1502,U_1503,U_1501,U_1500) )
& ! [U_1502,U_1503,U_1501,U_1500] :
( sP134(U_1502,U_1503,U_1501,U_1500)
| ~ r1_tarski(U_1501,U_1500) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP134])],[f_443_3]) ).
cnf(f_443_5,plain,
( sP134(U_1502,U_1503,U_1501,U_1500)
| ~ r1_tarski(U_1501,U_1500) ),
inference(clausify,[status(thm)],[f_443_4]) ).
cnf(f_443_6,plain,
( r1_tarski(k2_zfmisc_1(U_1501,U_1502),k2_zfmisc_1(U_1500,U_1502))
| ~ sP134(U_1502,U_1503,U_1501,U_1500) ),
inference(clausify,[status(thm)],[f_443_4]) ).
cnf(f_443_7,plain,
( r1_tarski(k2_zfmisc_1(U_1503,U_1501),k2_zfmisc_1(U_1503,U_1500))
| ~ sP134(U_1502,U_1503,U_1501,U_1500) ),
inference(clausify,[status(thm)],[f_443_4]) ).
fof(f_444_1,plain,
! [A,B,C,D] :
( r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t119_zfmisc_1]) ).
fof(f_444_2,plain,
! [U_1507,U_1506,U_1505,U_1504] :
( r1_tarski(k2_zfmisc_1(U_1507,U_1505),k2_zfmisc_1(U_1506,U_1504))
| ~ r1_tarski(U_1505,U_1504)
| ~ r1_tarski(U_1507,U_1506) ),
inference(variable_rename,[status(thm)],[f_444_1]) ).
fof(f_444_3,plain,
! [U_1507,U_1504,U_1506,U_1505] :
( r1_tarski(k2_zfmisc_1(U_1507,U_1505),k2_zfmisc_1(U_1506,U_1504))
| ~ r1_tarski(U_1505,U_1504)
| ~ r1_tarski(U_1507,U_1506) ),
inference(definitional_conversion,[status(esa)],[f_444_2]) ).
cnf(f_444_4,plain,
( r1_tarski(k2_zfmisc_1(U_1507,U_1505),k2_zfmisc_1(U_1506,U_1504))
| ~ r1_tarski(U_1505,U_1504)
| ~ r1_tarski(U_1507,U_1506) ),
inference(clausify,[status(thm)],[f_444_3]) ).
fof(f_445_1,plain,
! [A,B,C] :
( k2_zfmisc_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& k2_zfmisc_1(k2_xboole_0(A,B),C) = k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t120_zfmisc_1]) ).
fof(f_445_2,plain,
! [U_1510,U_1509,U_1508] :
( k2_zfmisc_1(U_1508,k2_xboole_0(U_1510,U_1509)) = k2_xboole_0(k2_zfmisc_1(U_1508,U_1510),k2_zfmisc_1(U_1508,U_1509))
& k2_zfmisc_1(k2_xboole_0(U_1510,U_1509),U_1508) = k2_xboole_0(k2_zfmisc_1(U_1510,U_1508),k2_zfmisc_1(U_1509,U_1508)) ),
inference(variable_rename,[status(thm)],[f_445_1]) ).
fof(f_445_3,plain,
( ! [U_1516,U_1514,U_1512] : k2_zfmisc_1(U_1512,k2_xboole_0(U_1516,U_1514)) = k2_xboole_0(k2_zfmisc_1(U_1512,U_1516),k2_zfmisc_1(U_1512,U_1514))
& ! [U_1515,U_1513,U_1511] : k2_zfmisc_1(k2_xboole_0(U_1515,U_1513),U_1511) = k2_xboole_0(k2_zfmisc_1(U_1515,U_1511),k2_zfmisc_1(U_1513,U_1511)) ),
inference(miniscope,[status(thm)],[f_445_2]) ).
fof(f_445_4,plain,
( ! [U_1516,U_1514,U_1512] : k2_zfmisc_1(U_1512,k2_xboole_0(U_1516,U_1514)) = k2_xboole_0(k2_zfmisc_1(U_1512,U_1516),k2_zfmisc_1(U_1512,U_1514))
& ! [U_1515,U_1511,U_1513] : k2_zfmisc_1(k2_xboole_0(U_1515,U_1513),U_1511) = k2_xboole_0(k2_zfmisc_1(U_1515,U_1511),k2_zfmisc_1(U_1513,U_1511)) ),
inference(definitional_conversion,[status(esa)],[f_445_3]) ).
cnf(f_445_5,plain,
k2_zfmisc_1(k2_xboole_0(U_1515,U_1513),U_1511) = k2_xboole_0(k2_zfmisc_1(U_1515,U_1511),k2_zfmisc_1(U_1513,U_1511)),
inference(clausify,[status(thm)],[f_445_4]) ).
cnf(f_445_6,plain,
k2_zfmisc_1(U_1512,k2_xboole_0(U_1516,U_1514)) = k2_xboole_0(k2_zfmisc_1(U_1512,U_1516),k2_zfmisc_1(U_1512,U_1514)),
inference(clausify,[status(thm)],[f_445_4]) ).
fof(f_446_1,plain,
! [A,B,C,D] : k2_zfmisc_1(k2_xboole_0(A,B),k2_xboole_0(C,D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(A,D)),k2_zfmisc_1(B,C)),k2_zfmisc_1(B,D)),
inference(fof_nnf,[status(thm)],[t121_zfmisc_1]) ).
fof(f_446_2,plain,
! [U_1520,U_1519,U_1518,U_1517] : k2_zfmisc_1(k2_xboole_0(U_1520,U_1519),k2_xboole_0(U_1518,U_1517)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_zfmisc_1(U_1520,U_1518),k2_zfmisc_1(U_1520,U_1517)),k2_zfmisc_1(U_1519,U_1518)),k2_zfmisc_1(U_1519,U_1517)),
inference(variable_rename,[status(thm)],[f_446_1]) ).
fof(f_446_3,plain,
! [U_1517,U_1518,U_1519,U_1520] : k2_zfmisc_1(k2_xboole_0(U_1520,U_1519),k2_xboole_0(U_1518,U_1517)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_zfmisc_1(U_1520,U_1518),k2_zfmisc_1(U_1520,U_1517)),k2_zfmisc_1(U_1519,U_1518)),k2_zfmisc_1(U_1519,U_1517)),
inference(definitional_conversion,[status(esa)],[f_446_2]) ).
cnf(f_446_4,plain,
k2_zfmisc_1(k2_xboole_0(U_1520,U_1519),k2_xboole_0(U_1518,U_1517)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_zfmisc_1(U_1520,U_1518),k2_zfmisc_1(U_1520,U_1517)),k2_zfmisc_1(U_1519,U_1518)),k2_zfmisc_1(U_1519,U_1517)),
inference(clausify,[status(thm)],[f_446_3]) ).
fof(f_447_1,plain,
! [A,B,C] :
( k2_zfmisc_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& k2_zfmisc_1(k3_xboole_0(A,B),C) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t122_zfmisc_1]) ).
fof(f_447_2,plain,
! [U_1523,U_1522,U_1521] :
( k2_zfmisc_1(U_1521,k3_xboole_0(U_1523,U_1522)) = k3_xboole_0(k2_zfmisc_1(U_1521,U_1523),k2_zfmisc_1(U_1521,U_1522))
& k2_zfmisc_1(k3_xboole_0(U_1523,U_1522),U_1521) = k3_xboole_0(k2_zfmisc_1(U_1523,U_1521),k2_zfmisc_1(U_1522,U_1521)) ),
inference(variable_rename,[status(thm)],[f_447_1]) ).
fof(f_447_3,plain,
( ! [U_1529,U_1527,U_1525] : k2_zfmisc_1(U_1525,k3_xboole_0(U_1529,U_1527)) = k3_xboole_0(k2_zfmisc_1(U_1525,U_1529),k2_zfmisc_1(U_1525,U_1527))
& ! [U_1528,U_1526,U_1524] : k2_zfmisc_1(k3_xboole_0(U_1528,U_1526),U_1524) = k3_xboole_0(k2_zfmisc_1(U_1528,U_1524),k2_zfmisc_1(U_1526,U_1524)) ),
inference(miniscope,[status(thm)],[f_447_2]) ).
fof(f_447_4,plain,
( ! [U_1525,U_1527,U_1529] : k2_zfmisc_1(U_1525,k3_xboole_0(U_1529,U_1527)) = k3_xboole_0(k2_zfmisc_1(U_1525,U_1529),k2_zfmisc_1(U_1525,U_1527))
& ! [U_1526,U_1528,U_1524] : k2_zfmisc_1(k3_xboole_0(U_1528,U_1526),U_1524) = k3_xboole_0(k2_zfmisc_1(U_1528,U_1524),k2_zfmisc_1(U_1526,U_1524)) ),
inference(definitional_conversion,[status(esa)],[f_447_3]) ).
cnf(f_447_5,plain,
k2_zfmisc_1(k3_xboole_0(U_1528,U_1526),U_1524) = k3_xboole_0(k2_zfmisc_1(U_1528,U_1524),k2_zfmisc_1(U_1526,U_1524)),
inference(clausify,[status(thm)],[f_447_4]) ).
cnf(f_447_6,plain,
k2_zfmisc_1(U_1525,k3_xboole_0(U_1529,U_1527)) = k3_xboole_0(k2_zfmisc_1(U_1525,U_1529),k2_zfmisc_1(U_1525,U_1527)),
inference(clausify,[status(thm)],[f_447_4]) ).
fof(f_448_1,plain,
! [A,B,C,D] : k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(C,D)) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)),
inference(fof_nnf,[status(thm)],[t123_zfmisc_1]) ).
fof(f_448_2,plain,
! [U_1533,U_1532,U_1531,U_1530] : k2_zfmisc_1(k3_xboole_0(U_1533,U_1532),k3_xboole_0(U_1531,U_1530)) = k3_xboole_0(k2_zfmisc_1(U_1533,U_1531),k2_zfmisc_1(U_1532,U_1530)),
inference(variable_rename,[status(thm)],[f_448_1]) ).
fof(f_448_3,plain,
! [U_1533,U_1530,U_1531,U_1532] : k2_zfmisc_1(k3_xboole_0(U_1533,U_1532),k3_xboole_0(U_1531,U_1530)) = k3_xboole_0(k2_zfmisc_1(U_1533,U_1531),k2_zfmisc_1(U_1532,U_1530)),
inference(definitional_conversion,[status(esa)],[f_448_2]) ).
cnf(f_448_4,plain,
k2_zfmisc_1(k3_xboole_0(U_1533,U_1532),k3_xboole_0(U_1531,U_1530)) = k3_xboole_0(k2_zfmisc_1(U_1533,U_1531),k2_zfmisc_1(U_1532,U_1530)),
inference(clausify,[status(thm)],[f_448_3]) ).
fof(f_449_1,plain,
! [A,B,C,D] :
( k3_xboole_0(k2_zfmisc_1(A,D),k2_zfmisc_1(B,C)) = k2_zfmisc_1(A,C)
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t124_zfmisc_1]) ).
fof(f_449_2,plain,
! [U_1537,U_1536,U_1535,U_1534] :
( k3_xboole_0(k2_zfmisc_1(U_1537,U_1534),k2_zfmisc_1(U_1536,U_1535)) = k2_zfmisc_1(U_1537,U_1535)
| ~ r1_tarski(U_1535,U_1534)
| ~ r1_tarski(U_1537,U_1536) ),
inference(variable_rename,[status(thm)],[f_449_1]) ).
fof(f_449_3,plain,
! [U_1534,U_1535,U_1536,U_1537] :
( k3_xboole_0(k2_zfmisc_1(U_1537,U_1534),k2_zfmisc_1(U_1536,U_1535)) = k2_zfmisc_1(U_1537,U_1535)
| ~ r1_tarski(U_1535,U_1534)
| ~ r1_tarski(U_1537,U_1536) ),
inference(definitional_conversion,[status(esa)],[f_449_2]) ).
cnf(f_449_4,plain,
( k3_xboole_0(k2_zfmisc_1(U_1537,U_1534),k2_zfmisc_1(U_1536,U_1535)) = k2_zfmisc_1(U_1537,U_1535)
| ~ r1_tarski(U_1535,U_1534)
| ~ r1_tarski(U_1537,U_1536) ),
inference(clausify,[status(thm)],[f_449_3]) ).
fof(f_450_1,plain,
! [A,B,C] :
( k2_zfmisc_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B))
& k2_zfmisc_1(k4_xboole_0(A,B),C) = k4_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t125_zfmisc_1]) ).
fof(f_450_2,plain,
! [U_1540,U_1539,U_1538] :
( k2_zfmisc_1(U_1538,k4_xboole_0(U_1540,U_1539)) = k4_xboole_0(k2_zfmisc_1(U_1538,U_1540),k2_zfmisc_1(U_1538,U_1539))
& k2_zfmisc_1(k4_xboole_0(U_1540,U_1539),U_1538) = k4_xboole_0(k2_zfmisc_1(U_1540,U_1538),k2_zfmisc_1(U_1539,U_1538)) ),
inference(variable_rename,[status(thm)],[f_450_1]) ).
fof(f_450_3,plain,
( ! [U_1546,U_1544,U_1542] : k2_zfmisc_1(U_1542,k4_xboole_0(U_1546,U_1544)) = k4_xboole_0(k2_zfmisc_1(U_1542,U_1546),k2_zfmisc_1(U_1542,U_1544))
& ! [U_1545,U_1543,U_1541] : k2_zfmisc_1(k4_xboole_0(U_1545,U_1543),U_1541) = k4_xboole_0(k2_zfmisc_1(U_1545,U_1541),k2_zfmisc_1(U_1543,U_1541)) ),
inference(miniscope,[status(thm)],[f_450_2]) ).
fof(f_450_4,plain,
( ! [U_1546,U_1542,U_1544] : k2_zfmisc_1(U_1542,k4_xboole_0(U_1546,U_1544)) = k4_xboole_0(k2_zfmisc_1(U_1542,U_1546),k2_zfmisc_1(U_1542,U_1544))
& ! [U_1541,U_1543,U_1545] : k2_zfmisc_1(k4_xboole_0(U_1545,U_1543),U_1541) = k4_xboole_0(k2_zfmisc_1(U_1545,U_1541),k2_zfmisc_1(U_1543,U_1541)) ),
inference(definitional_conversion,[status(esa)],[f_450_3]) ).
cnf(f_450_5,plain,
k2_zfmisc_1(k4_xboole_0(U_1545,U_1543),U_1541) = k4_xboole_0(k2_zfmisc_1(U_1545,U_1541),k2_zfmisc_1(U_1543,U_1541)),
inference(clausify,[status(thm)],[f_450_4]) ).
cnf(f_450_6,plain,
k2_zfmisc_1(U_1542,k4_xboole_0(U_1546,U_1544)) = k4_xboole_0(k2_zfmisc_1(U_1542,U_1546),k2_zfmisc_1(U_1542,U_1544)),
inference(clausify,[status(thm)],[f_450_4]) ).
fof(f_451_1,plain,
! [A,B,C,D] : k4_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(A,C),B),k2_zfmisc_1(A,k4_xboole_0(B,D))),
inference(fof_nnf,[status(thm)],[t126_zfmisc_1]) ).
fof(f_451_2,plain,
! [U_1550,U_1549,U_1548,U_1547] : k4_xboole_0(k2_zfmisc_1(U_1550,U_1549),k2_zfmisc_1(U_1548,U_1547)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(U_1550,U_1548),U_1549),k2_zfmisc_1(U_1550,k4_xboole_0(U_1549,U_1547))),
inference(variable_rename,[status(thm)],[f_451_1]) ).
fof(f_451_3,plain,
! [U_1547,U_1548,U_1549,U_1550] : k4_xboole_0(k2_zfmisc_1(U_1550,U_1549),k2_zfmisc_1(U_1548,U_1547)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(U_1550,U_1548),U_1549),k2_zfmisc_1(U_1550,k4_xboole_0(U_1549,U_1547))),
inference(definitional_conversion,[status(esa)],[f_451_2]) ).
cnf(f_451_4,plain,
k4_xboole_0(k2_zfmisc_1(U_1550,U_1549),k2_zfmisc_1(U_1548,U_1547)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(U_1550,U_1548),U_1549),k2_zfmisc_1(U_1550,k4_xboole_0(U_1549,U_1547))),
inference(clausify,[status(thm)],[f_451_3]) ).
fof(f_452_1,plain,
! [A,B,C,D] :
( r1_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))
| ( ~ r1_xboole_0(C,D)
& ~ r1_xboole_0(A,B) ) ),
inference(fof_nnf,[status(thm)],[t127_zfmisc_1]) ).
fof(f_452_2,plain,
! [U_1554,U_1553,U_1552,U_1551] :
( r1_xboole_0(k2_zfmisc_1(U_1554,U_1552),k2_zfmisc_1(U_1553,U_1551))
| ( ~ r1_xboole_0(U_1552,U_1551)
& ~ r1_xboole_0(U_1554,U_1553) ) ),
inference(variable_rename,[status(thm)],[f_452_1]) ).
fof(f_452_3,plain,
( ! [U_1551,U_1552,U_1553,U_1554] :
( ~ r1_xboole_0(U_1552,U_1551)
| ~ sP135(U_1551,U_1552,U_1553,U_1554) )
& ! [U_1551,U_1552,U_1553,U_1554] :
( ~ r1_xboole_0(U_1554,U_1553)
| ~ sP135(U_1551,U_1552,U_1553,U_1554) )
& ! [U_1551,U_1552,U_1553,U_1554] :
( r1_xboole_0(k2_zfmisc_1(U_1554,U_1552),k2_zfmisc_1(U_1553,U_1551))
| sP135(U_1551,U_1552,U_1553,U_1554) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP135])],[f_452_2]) ).
cnf(f_452_4,plain,
( r1_xboole_0(k2_zfmisc_1(U_1554,U_1552),k2_zfmisc_1(U_1553,U_1551))
| sP135(U_1551,U_1552,U_1553,U_1554) ),
inference(clausify,[status(thm)],[f_452_3]) ).
cnf(f_452_5,plain,
( ~ r1_xboole_0(U_1554,U_1553)
| ~ sP135(U_1551,U_1552,U_1553,U_1554) ),
inference(clausify,[status(thm)],[f_452_3]) ).
cnf(f_452_6,plain,
( ~ r1_xboole_0(U_1552,U_1551)
| ~ sP135(U_1551,U_1552,U_1553,U_1554) ),
inference(clausify,[status(thm)],[f_452_3]) ).
fof(f_453_1,plain,
! [A,B,C,D] :
( ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D))
| ~ r2_hidden(B,D)
| A != C )
& ( ( r2_hidden(B,D)
& A = C )
| ~ r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D)) ) ),
inference(fof_nnf,[status(thm)],[t128_zfmisc_1]) ).
fof(f_453_2,plain,
! [U_1558,U_1557,U_1556,U_1555] :
( ( r2_hidden(k4_tarski(U_1558,U_1557),k2_zfmisc_1(k1_tarski(U_1556),U_1555))
| ~ r2_hidden(U_1557,U_1555)
| U_1558 != U_1556 )
& ( ( r2_hidden(U_1557,U_1555)
& U_1558 = U_1556 )
| ~ r2_hidden(k4_tarski(U_1558,U_1557),k2_zfmisc_1(k1_tarski(U_1556),U_1555)) ) ),
inference(variable_rename,[status(thm)],[f_453_1]) ).
fof(f_453_3,plain,
( ! [U_1566,U_1564,U_1562,U_1560] :
( r2_hidden(k4_tarski(U_1566,U_1564),k2_zfmisc_1(k1_tarski(U_1562),U_1560))
| ~ r2_hidden(U_1564,U_1560)
| U_1566 != U_1562 )
& ! [U_1565,U_1563,U_1561,U_1559] :
( ( r2_hidden(U_1563,U_1559)
& U_1565 = U_1561 )
| ~ r2_hidden(k4_tarski(U_1565,U_1563),k2_zfmisc_1(k1_tarski(U_1561),U_1559)) ) ),
inference(miniscope,[status(thm)],[f_453_2]) ).
fof(f_453_4,plain,
( ! [U_1559,U_1565,U_1563,U_1561] :
( r2_hidden(U_1563,U_1559)
| ~ sP136(U_1559,U_1565,U_1563,U_1561) )
& ! [U_1559,U_1565,U_1563,U_1561] :
( U_1565 = U_1561
| ~ sP136(U_1559,U_1565,U_1563,U_1561) )
& ! [U_1566,U_1560,U_1564,U_1562] :
( r2_hidden(k4_tarski(U_1566,U_1564),k2_zfmisc_1(k1_tarski(U_1562),U_1560))
| ~ r2_hidden(U_1564,U_1560)
| U_1566 != U_1562 )
& ! [U_1559,U_1565,U_1563,U_1561] :
( sP136(U_1559,U_1565,U_1563,U_1561)
| ~ r2_hidden(k4_tarski(U_1565,U_1563),k2_zfmisc_1(k1_tarski(U_1561),U_1559)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP136])],[f_453_3]) ).
cnf(f_453_5,plain,
( sP136(U_1559,U_1565,U_1563,U_1561)
| ~ r2_hidden(k4_tarski(U_1565,U_1563),k2_zfmisc_1(k1_tarski(U_1561),U_1559)) ),
inference(clausify,[status(thm)],[f_453_4]) ).
cnf(f_453_6,plain,
( r2_hidden(k4_tarski(U_1566,U_1564),k2_zfmisc_1(k1_tarski(U_1562),U_1560))
| ~ r2_hidden(U_1564,U_1560)
| U_1566 != U_1562 ),
inference(clausify,[status(thm)],[f_453_4]) ).
cnf(f_453_7,plain,
( U_1565 = U_1561
| ~ sP136(U_1559,U_1565,U_1563,U_1561) ),
inference(clausify,[status(thm)],[f_453_4]) ).
cnf(f_453_8,plain,
( r2_hidden(U_1563,U_1559)
| ~ sP136(U_1559,U_1565,U_1563,U_1561) ),
inference(clausify,[status(thm)],[f_453_4]) ).
fof(f_454_1,plain,
! [A,B,C,D] :
( ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D)))
| B != D
| ~ r2_hidden(A,C) )
& ( ( B = D
& r2_hidden(A,C) )
| ~ r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D))) ) ),
inference(fof_nnf,[status(thm)],[t129_zfmisc_1]) ).
fof(f_454_2,plain,
! [U_1570,U_1569,U_1568,U_1567] :
( ( r2_hidden(k4_tarski(U_1570,U_1569),k2_zfmisc_1(U_1568,k1_tarski(U_1567)))
| U_1569 != U_1567
| ~ r2_hidden(U_1570,U_1568) )
& ( ( U_1569 = U_1567
& r2_hidden(U_1570,U_1568) )
| ~ r2_hidden(k4_tarski(U_1570,U_1569),k2_zfmisc_1(U_1568,k1_tarski(U_1567))) ) ),
inference(variable_rename,[status(thm)],[f_454_1]) ).
fof(f_454_3,plain,
( ! [U_1578,U_1576,U_1574,U_1572] :
( r2_hidden(k4_tarski(U_1578,U_1576),k2_zfmisc_1(U_1574,k1_tarski(U_1572)))
| U_1576 != U_1572
| ~ r2_hidden(U_1578,U_1574) )
& ! [U_1577,U_1575,U_1573,U_1571] :
( ( U_1575 = U_1571
& r2_hidden(U_1577,U_1573) )
| ~ r2_hidden(k4_tarski(U_1577,U_1575),k2_zfmisc_1(U_1573,k1_tarski(U_1571))) ) ),
inference(miniscope,[status(thm)],[f_454_2]) ).
fof(f_454_4,plain,
( ! [U_1573,U_1577,U_1571,U_1575] :
( U_1575 = U_1571
| ~ sP137(U_1573,U_1577,U_1571,U_1575) )
& ! [U_1573,U_1577,U_1571,U_1575] :
( r2_hidden(U_1577,U_1573)
| ~ sP137(U_1573,U_1577,U_1571,U_1575) )
& ! [U_1578,U_1574,U_1572,U_1576] :
( r2_hidden(k4_tarski(U_1578,U_1576),k2_zfmisc_1(U_1574,k1_tarski(U_1572)))
| U_1576 != U_1572
| ~ r2_hidden(U_1578,U_1574) )
& ! [U_1573,U_1577,U_1571,U_1575] :
( sP137(U_1573,U_1577,U_1571,U_1575)
| ~ r2_hidden(k4_tarski(U_1577,U_1575),k2_zfmisc_1(U_1573,k1_tarski(U_1571))) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP137])],[f_454_3]) ).
cnf(f_454_5,plain,
( sP137(U_1573,U_1577,U_1571,U_1575)
| ~ r2_hidden(k4_tarski(U_1577,U_1575),k2_zfmisc_1(U_1573,k1_tarski(U_1571))) ),
inference(clausify,[status(thm)],[f_454_4]) ).
cnf(f_454_6,plain,
( r2_hidden(k4_tarski(U_1578,U_1576),k2_zfmisc_1(U_1574,k1_tarski(U_1572)))
| U_1576 != U_1572
| ~ r2_hidden(U_1578,U_1574) ),
inference(clausify,[status(thm)],[f_454_4]) ).
cnf(f_454_7,plain,
( r2_hidden(U_1577,U_1573)
| ~ sP137(U_1573,U_1577,U_1571,U_1575) ),
inference(clausify,[status(thm)],[f_454_4]) ).
cnf(f_454_8,plain,
( U_1575 = U_1571
| ~ sP137(U_1573,U_1577,U_1571,U_1575) ),
inference(clausify,[status(thm)],[f_454_4]) ).
fof(f_455_1,plain,
! [A,B] :
( ( k2_zfmisc_1(A,k1_tarski(B)) != k1_xboole_0
& k2_zfmisc_1(k1_tarski(B),A) != k1_xboole_0 )
| A = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t130_zfmisc_1]) ).
fof(f_455_2,plain,
! [U_1580,U_1579] :
( ( k2_zfmisc_1(U_1580,k1_tarski(U_1579)) != k1_xboole_0
& k2_zfmisc_1(k1_tarski(U_1579),U_1580) != k1_xboole_0 )
| U_1580 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_455_1]) ).
fof(f_455_3,plain,
! [U_1580] :
( ( ! [U_1582] : k2_zfmisc_1(U_1580,k1_tarski(U_1582)) != k1_xboole_0
& ! [U_1581] : k2_zfmisc_1(k1_tarski(U_1581),U_1580) != k1_xboole_0 )
| U_1580 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_455_2]) ).
fof(f_455_4,plain,
( ! [U_1580,U_1582,U_1581] :
( k2_zfmisc_1(U_1580,k1_tarski(U_1582)) != k1_xboole_0
| ~ sP138(U_1580,U_1582,U_1581) )
& ! [U_1580,U_1582,U_1581] :
( k2_zfmisc_1(k1_tarski(U_1581),U_1580) != k1_xboole_0
| ~ sP138(U_1580,U_1582,U_1581) )
& ! [U_1580,U_1582,U_1581] :
( sP138(U_1580,U_1582,U_1581)
| U_1580 = k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP138])],[f_455_3]) ).
cnf(f_455_5,plain,
( sP138(U_1580,U_1582,U_1581)
| U_1580 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_455_4]) ).
cnf(f_455_6,plain,
( k2_zfmisc_1(k1_tarski(U_1581),U_1580) != k1_xboole_0
| ~ sP138(U_1580,U_1582,U_1581) ),
inference(clausify,[status(thm)],[f_455_4]) ).
cnf(f_455_7,plain,
( k2_zfmisc_1(U_1580,k1_tarski(U_1582)) != k1_xboole_0
| ~ sP138(U_1580,U_1582,U_1581) ),
inference(clausify,[status(thm)],[f_455_4]) ).
fof(f_456_1,plain,
! [A,B,C,D] :
( ( r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B)))
& r1_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),D)) )
| A = B ),
inference(fof_nnf,[status(thm)],[t131_zfmisc_1]) ).
fof(f_456_2,plain,
! [U_1586,U_1585,U_1584,U_1583] :
( ( r1_xboole_0(k2_zfmisc_1(U_1584,k1_tarski(U_1586)),k2_zfmisc_1(U_1583,k1_tarski(U_1585)))
& r1_xboole_0(k2_zfmisc_1(k1_tarski(U_1586),U_1584),k2_zfmisc_1(k1_tarski(U_1585),U_1583)) )
| U_1586 = U_1585 ),
inference(variable_rename,[status(thm)],[f_456_1]) ).
fof(f_456_3,plain,
! [U_1586,U_1585] :
( ( ! [U_1590,U_1588] : r1_xboole_0(k2_zfmisc_1(U_1590,k1_tarski(U_1586)),k2_zfmisc_1(U_1588,k1_tarski(U_1585)))
& ! [U_1589,U_1587] : r1_xboole_0(k2_zfmisc_1(k1_tarski(U_1586),U_1589),k2_zfmisc_1(k1_tarski(U_1585),U_1587)) )
| U_1586 = U_1585 ),
inference(miniscope,[status(thm)],[f_456_2]) ).
fof(f_456_4,plain,
( ! [U_1590,U_1586,U_1587,U_1588,U_1589,U_1585] :
( r1_xboole_0(k2_zfmisc_1(U_1590,k1_tarski(U_1586)),k2_zfmisc_1(U_1588,k1_tarski(U_1585)))
| ~ sP139(U_1590,U_1586,U_1587,U_1588,U_1589,U_1585) )
& ! [U_1590,U_1586,U_1587,U_1588,U_1589,U_1585] :
( r1_xboole_0(k2_zfmisc_1(k1_tarski(U_1586),U_1589),k2_zfmisc_1(k1_tarski(U_1585),U_1587))
| ~ sP139(U_1590,U_1586,U_1587,U_1588,U_1589,U_1585) )
& ! [U_1590,U_1586,U_1587,U_1588,U_1589,U_1585] :
( sP139(U_1590,U_1586,U_1587,U_1588,U_1589,U_1585)
| U_1586 = U_1585 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP139])],[f_456_3]) ).
cnf(f_456_5,plain,
( sP139(U_1590,U_1586,U_1587,U_1588,U_1589,U_1585)
| U_1586 = U_1585 ),
inference(clausify,[status(thm)],[f_456_4]) ).
cnf(f_456_6,plain,
( r1_xboole_0(k2_zfmisc_1(k1_tarski(U_1586),U_1589),k2_zfmisc_1(k1_tarski(U_1585),U_1587))
| ~ sP139(U_1590,U_1586,U_1587,U_1588,U_1589,U_1585) ),
inference(clausify,[status(thm)],[f_456_4]) ).
cnf(f_456_7,plain,
( r1_xboole_0(k2_zfmisc_1(U_1590,k1_tarski(U_1586)),k2_zfmisc_1(U_1588,k1_tarski(U_1585)))
| ~ sP139(U_1590,U_1586,U_1587,U_1588,U_1589,U_1585) ),
inference(clausify,[status(thm)],[f_456_4]) ).
fof(f_457_1,plain,
! [A,B,C] :
( k2_zfmisc_1(C,k2_tarski(A,B)) = k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(C,k1_tarski(B)))
& k2_zfmisc_1(k2_tarski(A,B),C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),C)) ),
inference(fof_nnf,[status(thm)],[t132_zfmisc_1]) ).
fof(f_457_2,plain,
! [U_1593,U_1592,U_1591] :
( k2_zfmisc_1(U_1591,k2_tarski(U_1593,U_1592)) = k2_xboole_0(k2_zfmisc_1(U_1591,k1_tarski(U_1593)),k2_zfmisc_1(U_1591,k1_tarski(U_1592)))
& k2_zfmisc_1(k2_tarski(U_1593,U_1592),U_1591) = k2_xboole_0(k2_zfmisc_1(k1_tarski(U_1593),U_1591),k2_zfmisc_1(k1_tarski(U_1592),U_1591)) ),
inference(variable_rename,[status(thm)],[f_457_1]) ).
fof(f_457_3,plain,
( ! [U_1599,U_1597,U_1595] : k2_zfmisc_1(U_1595,k2_tarski(U_1599,U_1597)) = k2_xboole_0(k2_zfmisc_1(U_1595,k1_tarski(U_1599)),k2_zfmisc_1(U_1595,k1_tarski(U_1597)))
& ! [U_1598,U_1596,U_1594] : k2_zfmisc_1(k2_tarski(U_1598,U_1596),U_1594) = k2_xboole_0(k2_zfmisc_1(k1_tarski(U_1598),U_1594),k2_zfmisc_1(k1_tarski(U_1596),U_1594)) ),
inference(miniscope,[status(thm)],[f_457_2]) ).
fof(f_457_4,plain,
( ! [U_1595,U_1597,U_1599] : k2_zfmisc_1(U_1595,k2_tarski(U_1599,U_1597)) = k2_xboole_0(k2_zfmisc_1(U_1595,k1_tarski(U_1599)),k2_zfmisc_1(U_1595,k1_tarski(U_1597)))
& ! [U_1594,U_1596,U_1598] : k2_zfmisc_1(k2_tarski(U_1598,U_1596),U_1594) = k2_xboole_0(k2_zfmisc_1(k1_tarski(U_1598),U_1594),k2_zfmisc_1(k1_tarski(U_1596),U_1594)) ),
inference(definitional_conversion,[status(esa)],[f_457_3]) ).
cnf(f_457_5,plain,
k2_zfmisc_1(k2_tarski(U_1598,U_1596),U_1594) = k2_xboole_0(k2_zfmisc_1(k1_tarski(U_1598),U_1594),k2_zfmisc_1(k1_tarski(U_1596),U_1594)),
inference(clausify,[status(thm)],[f_457_4]) ).
cnf(f_457_6,plain,
k2_zfmisc_1(U_1595,k2_tarski(U_1599,U_1597)) = k2_xboole_0(k2_zfmisc_1(U_1595,k1_tarski(U_1599)),k2_zfmisc_1(U_1595,k1_tarski(U_1597))),
inference(clausify,[status(thm)],[f_457_4]) ).
fof(f_458_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t133_zfmisc_1]) ).
fof(f_458_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_458_1]) ).
cnf(f_458_3,plain,
$true,
inference(clausify,[status(thm)],[f_458_2]) ).
fof(f_459_1,plain,
! [A,B,C,D] :
( ( B = D
& A = C )
| B = k1_xboole_0
| A = k1_xboole_0
| k2_zfmisc_1(A,B) != k2_zfmisc_1(C,D) ),
inference(fof_nnf,[status(thm)],[t134_zfmisc_1]) ).
fof(f_459_2,plain,
! [U_1603,U_1602,U_1601,U_1600] :
( ( U_1602 = U_1600
& U_1603 = U_1601 )
| U_1602 = k1_xboole_0
| U_1603 = k1_xboole_0
| k2_zfmisc_1(U_1603,U_1602) != k2_zfmisc_1(U_1601,U_1600) ),
inference(variable_rename,[status(thm)],[f_459_1]) ).
fof(f_459_3,plain,
( ! [U_1603,U_1600,U_1601,U_1602] :
( U_1602 = U_1600
| ~ sP140(U_1603,U_1600,U_1601,U_1602) )
& ! [U_1603,U_1600,U_1601,U_1602] :
( U_1603 = U_1601
| ~ sP140(U_1603,U_1600,U_1601,U_1602) )
& ! [U_1603,U_1600,U_1601,U_1602] :
( sP140(U_1603,U_1600,U_1601,U_1602)
| U_1602 = k1_xboole_0
| U_1603 = k1_xboole_0
| k2_zfmisc_1(U_1603,U_1602) != k2_zfmisc_1(U_1601,U_1600) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP140])],[f_459_2]) ).
cnf(f_459_4,plain,
( sP140(U_1603,U_1600,U_1601,U_1602)
| U_1602 = k1_xboole_0
| U_1603 = k1_xboole_0
| k2_zfmisc_1(U_1603,U_1602) != k2_zfmisc_1(U_1601,U_1600) ),
inference(clausify,[status(thm)],[f_459_3]) ).
cnf(f_459_5,plain,
( U_1603 = U_1601
| ~ sP140(U_1603,U_1600,U_1601,U_1602) ),
inference(clausify,[status(thm)],[f_459_3]) ).
cnf(f_459_6,plain,
( U_1602 = U_1600
| ~ sP140(U_1603,U_1600,U_1601,U_1602) ),
inference(clausify,[status(thm)],[f_459_3]) ).
fof(f_460_1,plain,
! [A,B] :
( A = k1_xboole_0
| ( ~ r1_tarski(A,k2_zfmisc_1(B,A))
& ~ r1_tarski(A,k2_zfmisc_1(A,B)) ) ),
inference(fof_nnf,[status(thm)],[t135_zfmisc_1]) ).
fof(f_460_2,plain,
! [U_1605,U_1604] :
( U_1605 = k1_xboole_0
| ( ~ r1_tarski(U_1605,k2_zfmisc_1(U_1604,U_1605))
& ~ r1_tarski(U_1605,k2_zfmisc_1(U_1605,U_1604)) ) ),
inference(variable_rename,[status(thm)],[f_460_1]) ).
fof(f_460_3,plain,
! [U_1605] :
( ( ! [U_1607] : ~ r1_tarski(U_1605,k2_zfmisc_1(U_1607,U_1605))
& ! [U_1606] : ~ r1_tarski(U_1605,k2_zfmisc_1(U_1605,U_1606)) )
| U_1605 = k1_xboole_0 ),
inference(miniscope,[status(thm)],[f_460_2]) ).
fof(f_460_4,plain,
( ! [U_1605,U_1606,U_1607] :
( ~ r1_tarski(U_1605,k2_zfmisc_1(U_1607,U_1605))
| ~ sP141(U_1605,U_1606,U_1607) )
& ! [U_1605,U_1606,U_1607] :
( ~ r1_tarski(U_1605,k2_zfmisc_1(U_1605,U_1606))
| ~ sP141(U_1605,U_1606,U_1607) )
& ! [U_1605,U_1606,U_1607] :
( sP141(U_1605,U_1606,U_1607)
| U_1605 = k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP141])],[f_460_3]) ).
cnf(f_460_5,plain,
( sP141(U_1605,U_1606,U_1607)
| U_1605 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_460_4]) ).
cnf(f_460_6,plain,
( ~ r1_tarski(U_1605,k2_zfmisc_1(U_1605,U_1606))
| ~ sP141(U_1605,U_1606,U_1607) ),
inference(clausify,[status(thm)],[f_460_4]) ).
cnf(f_460_7,plain,
( ~ r1_tarski(U_1605,k2_zfmisc_1(U_1607,U_1605))
| ~ sP141(U_1605,U_1606,U_1607) ),
inference(clausify,[status(thm)],[f_460_4]) ).
fof(f_461_1,plain,
! [A] :
? [B] :
( ! [C] :
( r2_hidden(C,B)
| r2_tarski(C,B)
| ~ r1_tarski(C,B) )
& ! [C] :
( r2_hidden(k1_zfmisc_1(C),B)
| ~ r2_hidden(C,B) )
& ! [C,D] :
( r2_hidden(D,B)
| ~ r1_tarski(D,C)
| ~ r2_hidden(C,B) )
& r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t136_zfmisc_1]) ).
fof(f_461_2,plain,
! [U_1613] :
? [U_1612] :
( ! [U_1611] :
( r2_hidden(U_1611,U_1612)
| r2_tarski(U_1611,U_1612)
| ~ r1_tarski(U_1611,U_1612) )
& ! [U_1610] :
( r2_hidden(k1_zfmisc_1(U_1610),U_1612)
| ~ r2_hidden(U_1610,U_1612) )
& ! [U_1609,U_1608] :
( r2_hidden(U_1608,U_1612)
| ~ r1_tarski(U_1608,U_1609)
| ~ r2_hidden(U_1609,U_1612) )
& r2_hidden(U_1613,U_1612) ),
inference(variable_rename,[status(thm)],[f_461_1]) ).
fof(f_461_3,plain,
! [U_1613] :
( ! [U_1611] :
( r2_hidden(U_1611,sK103(U_1613))
| r2_tarski(U_1611,sK103(U_1613))
| ~ r1_tarski(U_1611,sK103(U_1613)) )
& ! [U_1610] :
( r2_hidden(k1_zfmisc_1(U_1610),sK103(U_1613))
| ~ r2_hidden(U_1610,sK103(U_1613)) )
& ! [U_1609,U_1608] :
( r2_hidden(U_1608,sK103(U_1613))
| ~ r1_tarski(U_1608,U_1609)
| ~ r2_hidden(U_1609,sK103(U_1613)) )
& r2_hidden(U_1613,sK103(U_1613)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(U_1612,sK103(U_1613))],[f_461_2]) ).
fof(f_461_4,plain,
( ! [U_1613,U_1611] :
( r2_hidden(U_1611,sK103(U_1613))
| r2_tarski(U_1611,sK103(U_1613))
| ~ r1_tarski(U_1611,sK103(U_1613)) )
& ! [U_1613,U_1610] :
( r2_hidden(k1_zfmisc_1(U_1610),sK103(U_1613))
| ~ r2_hidden(U_1610,sK103(U_1613)) )
& ! [U_1613,U_1608,U_1609] :
( r2_hidden(U_1608,sK103(U_1613))
| ~ r1_tarski(U_1608,U_1609)
| ~ r2_hidden(U_1609,sK103(U_1613)) )
& ! [U_1613] : r2_hidden(U_1613,sK103(U_1613)) ),
inference(definitional_conversion,[status(esa)],[f_461_3]) ).
cnf(f_461_5,plain,
r2_hidden(U_1613,sK103(U_1613)),
inference(clausify,[status(thm)],[f_461_4]) ).
cnf(f_461_6,plain,
( r2_hidden(U_1608,sK103(U_1613))
| ~ r1_tarski(U_1608,U_1609)
| ~ r2_hidden(U_1609,sK103(U_1613)) ),
inference(clausify,[status(thm)],[f_461_4]) ).
cnf(f_461_7,plain,
( r2_hidden(k1_zfmisc_1(U_1610),sK103(U_1613))
| ~ r2_hidden(U_1610,sK103(U_1613)) ),
inference(clausify,[status(thm)],[f_461_4]) ).
cnf(f_461_8,plain,
( r2_hidden(U_1611,sK103(U_1613))
| r2_tarski(U_1611,sK103(U_1613))
| ~ r1_tarski(U_1611,sK103(U_1613)) ),
inference(clausify,[status(thm)],[f_461_4]) ).
fof(f_462_1,plain,
! [A,B,C,D,E] :
( r2_hidden(A,k2_zfmisc_1(k3_xboole_0(B,D),k3_xboole_0(C,E)))
| ~ r2_hidden(A,k2_zfmisc_1(D,E))
| ~ r2_hidden(A,k2_zfmisc_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t137_zfmisc_1]) ).
fof(f_462_2,plain,
! [U_1618,U_1617,U_1616,U_1615,U_1614] :
( r2_hidden(U_1618,k2_zfmisc_1(k3_xboole_0(U_1617,U_1615),k3_xboole_0(U_1616,U_1614)))
| ~ r2_hidden(U_1618,k2_zfmisc_1(U_1615,U_1614))
| ~ r2_hidden(U_1618,k2_zfmisc_1(U_1617,U_1616)) ),
inference(variable_rename,[status(thm)],[f_462_1]) ).
fof(f_462_3,plain,
! [U_1618,U_1617,U_1615,U_1614,U_1616] :
( r2_hidden(U_1618,k2_zfmisc_1(k3_xboole_0(U_1617,U_1615),k3_xboole_0(U_1616,U_1614)))
| ~ r2_hidden(U_1618,k2_zfmisc_1(U_1615,U_1614))
| ~ r2_hidden(U_1618,k2_zfmisc_1(U_1617,U_1616)) ),
inference(definitional_conversion,[status(esa)],[f_462_2]) ).
cnf(f_462_4,plain,
( r2_hidden(U_1618,k2_zfmisc_1(k3_xboole_0(U_1617,U_1615),k3_xboole_0(U_1616,U_1614)))
| ~ r2_hidden(U_1618,k2_zfmisc_1(U_1615,U_1614))
| ~ r2_hidden(U_1618,k2_zfmisc_1(U_1617,U_1616)) ),
inference(clausify,[status(thm)],[f_462_3]) ).
fof(f_463_1,plain,
! [A,B,C,D] :
( ( r1_tarski(B,D)
& r1_tarski(A,C) )
| k2_zfmisc_1(A,B) = k1_xboole_0
| ~ r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) ),
inference(fof_nnf,[status(thm)],[t138_zfmisc_1]) ).
fof(f_463_2,plain,
! [U_1622,U_1621,U_1620,U_1619] :
( ( r1_tarski(U_1621,U_1619)
& r1_tarski(U_1622,U_1620) )
| k2_zfmisc_1(U_1622,U_1621) = k1_xboole_0
| ~ r1_tarski(k2_zfmisc_1(U_1622,U_1621),k2_zfmisc_1(U_1620,U_1619)) ),
inference(variable_rename,[status(thm)],[f_463_1]) ).
fof(f_463_3,plain,
( ! [U_1622,U_1621,U_1620,U_1619] :
( r1_tarski(U_1621,U_1619)
| ~ sP142(U_1622,U_1621,U_1620,U_1619) )
& ! [U_1622,U_1621,U_1620,U_1619] :
( r1_tarski(U_1622,U_1620)
| ~ sP142(U_1622,U_1621,U_1620,U_1619) )
& ! [U_1622,U_1621,U_1620,U_1619] :
( sP142(U_1622,U_1621,U_1620,U_1619)
| k2_zfmisc_1(U_1622,U_1621) = k1_xboole_0
| ~ r1_tarski(k2_zfmisc_1(U_1622,U_1621),k2_zfmisc_1(U_1620,U_1619)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP142])],[f_463_2]) ).
cnf(f_463_4,plain,
( sP142(U_1622,U_1621,U_1620,U_1619)
| k2_zfmisc_1(U_1622,U_1621) = k1_xboole_0
| ~ r1_tarski(k2_zfmisc_1(U_1622,U_1621),k2_zfmisc_1(U_1620,U_1619)) ),
inference(clausify,[status(thm)],[f_463_3]) ).
cnf(f_463_5,plain,
( r1_tarski(U_1622,U_1620)
| ~ sP142(U_1622,U_1621,U_1620,U_1619) ),
inference(clausify,[status(thm)],[f_463_3]) ).
cnf(f_463_6,plain,
( r1_tarski(U_1621,U_1619)
| ~ sP142(U_1622,U_1621,U_1620,U_1619) ),
inference(clausify,[status(thm)],[f_463_3]) ).
fof(f_464_1,plain,
! [A] :
( ! [B,C,D] :
( r1_tarski(B,D)
| ( ~ r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C))
& ~ r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) ) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t139_zfmisc_1]) ).
fof(f_464_2,plain,
! [U_1626] :
( ! [U_1625,U_1624,U_1623] :
( r1_tarski(U_1625,U_1623)
| ( ~ r1_tarski(k2_zfmisc_1(U_1625,U_1626),k2_zfmisc_1(U_1623,U_1624))
& ~ r1_tarski(k2_zfmisc_1(U_1626,U_1625),k2_zfmisc_1(U_1624,U_1623)) ) )
| v1_xboole_0(U_1626) ),
inference(variable_rename,[status(thm)],[f_464_1]) ).
fof(f_464_3,plain,
( ! [U_1623,U_1624,U_1625,U_1626] :
( ~ r1_tarski(k2_zfmisc_1(U_1625,U_1626),k2_zfmisc_1(U_1623,U_1624))
| ~ sP143(U_1623,U_1624,U_1625,U_1626) )
& ! [U_1623,U_1624,U_1625,U_1626] :
( ~ r1_tarski(k2_zfmisc_1(U_1626,U_1625),k2_zfmisc_1(U_1624,U_1623))
| ~ sP143(U_1623,U_1624,U_1625,U_1626) )
& ! [U_1623,U_1624,U_1625,U_1626] :
( r1_tarski(U_1625,U_1623)
| sP143(U_1623,U_1624,U_1625,U_1626)
| v1_xboole_0(U_1626) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP143])],[f_464_2]) ).
cnf(f_464_4,plain,
( r1_tarski(U_1625,U_1623)
| sP143(U_1623,U_1624,U_1625,U_1626)
| v1_xboole_0(U_1626) ),
inference(clausify,[status(thm)],[f_464_3]) ).
cnf(f_464_5,plain,
( ~ r1_tarski(k2_zfmisc_1(U_1626,U_1625),k2_zfmisc_1(U_1624,U_1623))
| ~ sP143(U_1623,U_1624,U_1625,U_1626) ),
inference(clausify,[status(thm)],[f_464_3]) ).
cnf(f_464_6,plain,
( ~ r1_tarski(k2_zfmisc_1(U_1625,U_1626),k2_zfmisc_1(U_1623,U_1624))
| ~ sP143(U_1623,U_1624,U_1625,U_1626) ),
inference(clausify,[status(thm)],[f_464_3]) ).
fof(f_465_1,plain,
! [A,B] :
( k2_xboole_0(k4_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t140_zfmisc_1]) ).
fof(f_465_2,plain,
! [U_1628,U_1627] :
( k2_xboole_0(k4_xboole_0(U_1627,k1_tarski(U_1628)),k1_tarski(U_1628)) = U_1627
| ~ r2_hidden(U_1628,U_1627) ),
inference(variable_rename,[status(thm)],[f_465_1]) ).
fof(f_465_3,plain,
! [U_1627,U_1628] :
( k2_xboole_0(k4_xboole_0(U_1627,k1_tarski(U_1628)),k1_tarski(U_1628)) = U_1627
| ~ r2_hidden(U_1628,U_1627) ),
inference(definitional_conversion,[status(esa)],[f_465_2]) ).
cnf(f_465_4,plain,
( k2_xboole_0(k4_xboole_0(U_1627,k1_tarski(U_1628)),k1_tarski(U_1628)) = U_1627
| ~ r2_hidden(U_1628,U_1627) ),
inference(clausify,[status(thm)],[f_465_3]) ).
fof(f_466_1,plain,
! [A,B] :
( k4_xboole_0(k2_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B
| r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t141_zfmisc_1]) ).
fof(f_466_2,plain,
! [U_1630,U_1629] :
( k4_xboole_0(k2_xboole_0(U_1629,k1_tarski(U_1630)),k1_tarski(U_1630)) = U_1629
| r2_hidden(U_1630,U_1629) ),
inference(variable_rename,[status(thm)],[f_466_1]) ).
fof(f_466_3,plain,
! [U_1629,U_1630] :
( k4_xboole_0(k2_xboole_0(U_1629,k1_tarski(U_1630)),k1_tarski(U_1630)) = U_1629
| r2_hidden(U_1630,U_1629) ),
inference(definitional_conversion,[status(esa)],[f_466_2]) ).
cnf(f_466_4,plain,
( k4_xboole_0(k2_xboole_0(U_1629,k1_tarski(U_1630)),k1_tarski(U_1630)) = U_1629
| r2_hidden(U_1630,U_1629) ),
inference(clausify,[status(thm)],[f_466_3]) ).
fof(f_467_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(f_467_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_467_1]) ).
cnf(f_467_3,plain,
$true,
inference(clausify,[status(thm)],[f_467_2]) ).
fof(f_468_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
fof(f_468_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_468_1]) ).
cnf(f_468_3,plain,
$true,
inference(clausify,[status(thm)],[f_468_2]) ).
fof(f_469_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_zfmisc_1]) ).
fof(f_469_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_469_1]) ).
cnf(f_469_3,plain,
$true,
inference(clausify,[status(thm)],[f_469_2]) ).
fof(f_470_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k4_zfmisc_1]) ).
fof(f_470_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_470_1]) ).
cnf(f_470_3,plain,
$true,
inference(clausify,[status(thm)],[f_470_2]) ).
fof(f_471_1,plain,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[fc1_subset_1]) ).
fof(f_471_2,plain,
! [U_1631] : ~ v1_xboole_0(k1_zfmisc_1(U_1631)),
inference(variable_rename,[status(thm)],[f_471_1]) ).
fof(f_471_3,plain,
! [U_1631] : ~ v1_xboole_0(k1_zfmisc_1(U_1631)),
inference(definitional_conversion,[status(esa)],[f_471_2]) ).
cnf(f_471_4,plain,
~ v1_xboole_0(k1_zfmisc_1(U_1631)),
inference(clausify,[status(thm)],[f_471_3]) ).
fof(f_472_1,plain,
! [A] : ~ v1_xboole_0(k1_tarski(A)),
inference(fof_nnf,[status(thm)],[fc2_subset_1]) ).
fof(f_472_2,plain,
! [U_1632] : ~ v1_xboole_0(k1_tarski(U_1632)),
inference(variable_rename,[status(thm)],[f_472_1]) ).
fof(f_472_3,plain,
! [U_1632] : ~ v1_xboole_0(k1_tarski(U_1632)),
inference(definitional_conversion,[status(esa)],[f_472_2]) ).
cnf(f_472_4,plain,
~ v1_xboole_0(k1_tarski(U_1632)),
inference(clausify,[status(thm)],[f_472_3]) ).
fof(f_473_1,plain,
! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)),
inference(fof_nnf,[status(thm)],[fc3_subset_1]) ).
fof(f_473_2,plain,
! [U_1634,U_1633] : ~ v1_xboole_0(k2_tarski(U_1634,U_1633)),
inference(variable_rename,[status(thm)],[f_473_1]) ).
fof(f_473_3,plain,
! [U_1633,U_1634] : ~ v1_xboole_0(k2_tarski(U_1634,U_1633)),
inference(definitional_conversion,[status(esa)],[f_473_2]) ).
cnf(f_473_4,plain,
~ v1_xboole_0(k2_tarski(U_1634,U_1633)),
inference(clausify,[status(thm)],[f_473_3]) ).
fof(f_474_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_subset_1]) ).
fof(f_474_2,plain,
! [U_1636] :
( ? [U_1635] :
( ~ v1_xboole_0(U_1635)
& m1_subset_1(U_1635,k1_zfmisc_1(U_1636)) )
| v1_xboole_0(U_1636) ),
inference(variable_rename,[status(thm)],[f_474_1]) ).
fof(f_474_3,plain,
! [U_1636] :
( ( ~ v1_xboole_0(sK104(U_1636))
& m1_subset_1(sK104(U_1636),k1_zfmisc_1(U_1636)) )
| v1_xboole_0(U_1636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(U_1635,sK104(U_1636))],[f_474_2]) ).
fof(f_474_4,plain,
( ! [U_1636] :
( ~ v1_xboole_0(sK104(U_1636))
| ~ sP144(U_1636) )
& ! [U_1636] :
( m1_subset_1(sK104(U_1636),k1_zfmisc_1(U_1636))
| ~ sP144(U_1636) )
& ! [U_1636] :
( sP144(U_1636)
| v1_xboole_0(U_1636) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP144])],[f_474_3]) ).
cnf(f_474_5,plain,
( sP144(U_1636)
| v1_xboole_0(U_1636) ),
inference(clausify,[status(thm)],[f_474_4]) ).
cnf(f_474_6,plain,
( m1_subset_1(sK104(U_1636),k1_zfmisc_1(U_1636))
| ~ sP144(U_1636) ),
inference(clausify,[status(thm)],[f_474_4]) ).
cnf(f_474_7,plain,
( ~ v1_xboole_0(sK104(U_1636))
| ~ sP144(U_1636) ),
inference(clausify,[status(thm)],[f_474_4]) ).
fof(f_475_1,plain,
! [A,B] :
( ~ v1_xboole_0(k2_zfmisc_1(A,B))
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_subset_1]) ).
fof(f_475_2,plain,
! [U_1638,U_1637] :
( ~ v1_xboole_0(k2_zfmisc_1(U_1638,U_1637))
| v1_xboole_0(U_1637)
| v1_xboole_0(U_1638) ),
inference(variable_rename,[status(thm)],[f_475_1]) ).
fof(f_475_3,plain,
! [U_1637,U_1638] :
( ~ v1_xboole_0(k2_zfmisc_1(U_1638,U_1637))
| v1_xboole_0(U_1637)
| v1_xboole_0(U_1638) ),
inference(definitional_conversion,[status(esa)],[f_475_2]) ).
cnf(f_475_4,plain,
( ~ v1_xboole_0(k2_zfmisc_1(U_1638,U_1637))
| v1_xboole_0(U_1637)
| v1_xboole_0(U_1638) ),
inference(clausify,[status(thm)],[f_475_3]) ).
fof(f_476_1,plain,
! [A,B,C] :
( ~ v1_xboole_0(k3_zfmisc_1(A,B,C))
| v1_xboole_0(C)
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_subset_1]) ).
fof(f_476_2,plain,
! [U_1641,U_1640,U_1639] :
( ~ v1_xboole_0(k3_zfmisc_1(U_1641,U_1640,U_1639))
| v1_xboole_0(U_1639)
| v1_xboole_0(U_1640)
| v1_xboole_0(U_1641) ),
inference(variable_rename,[status(thm)],[f_476_1]) ).
fof(f_476_3,plain,
! [U_1640,U_1639,U_1641] :
( ~ v1_xboole_0(k3_zfmisc_1(U_1641,U_1640,U_1639))
| v1_xboole_0(U_1639)
| v1_xboole_0(U_1640)
| v1_xboole_0(U_1641) ),
inference(definitional_conversion,[status(esa)],[f_476_2]) ).
cnf(f_476_4,plain,
( ~ v1_xboole_0(k3_zfmisc_1(U_1641,U_1640,U_1639))
| v1_xboole_0(U_1639)
| v1_xboole_0(U_1640)
| v1_xboole_0(U_1641) ),
inference(clausify,[status(thm)],[f_476_3]) ).
fof(f_477_1,plain,
! [A,B,C,D] :
( ~ v1_xboole_0(k4_zfmisc_1(A,B,C,D))
| v1_xboole_0(D)
| v1_xboole_0(C)
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc6_subset_1]) ).
fof(f_477_2,plain,
! [U_1645,U_1644,U_1643,U_1642] :
( ~ v1_xboole_0(k4_zfmisc_1(U_1645,U_1644,U_1643,U_1642))
| v1_xboole_0(U_1642)
| v1_xboole_0(U_1643)
| v1_xboole_0(U_1644)
| v1_xboole_0(U_1645) ),
inference(variable_rename,[status(thm)],[f_477_1]) ).
fof(f_477_3,plain,
! [U_1645,U_1644,U_1643,U_1642] :
( ~ v1_xboole_0(k4_zfmisc_1(U_1645,U_1644,U_1643,U_1642))
| v1_xboole_0(U_1642)
| v1_xboole_0(U_1643)
| v1_xboole_0(U_1644)
| v1_xboole_0(U_1645) ),
inference(definitional_conversion,[status(esa)],[f_477_2]) ).
cnf(f_477_4,plain,
( ~ v1_xboole_0(k4_zfmisc_1(U_1645,U_1644,U_1643,U_1642))
| v1_xboole_0(U_1642)
| v1_xboole_0(U_1643)
| v1_xboole_0(U_1644)
| v1_xboole_0(U_1645) ),
inference(clausify,[status(thm)],[f_477_3]) ).
fof(f_478_1,plain,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[rc2_subset_1]) ).
fof(f_478_2,plain,
! [U_1647] :
? [U_1646] :
( v1_xboole_0(U_1646)
& m1_subset_1(U_1646,k1_zfmisc_1(U_1647)) ),
inference(variable_rename,[status(thm)],[f_478_1]) ).
fof(f_478_3,plain,
! [U_1647] :
( v1_xboole_0(sK105(U_1647))
& m1_subset_1(sK105(U_1647),k1_zfmisc_1(U_1647)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(U_1646,sK105(U_1647))],[f_478_2]) ).
fof(f_478_4,plain,
( ! [U_1647] : v1_xboole_0(sK105(U_1647))
& ! [U_1647] : m1_subset_1(sK105(U_1647),k1_zfmisc_1(U_1647)) ),
inference(definitional_conversion,[status(esa)],[f_478_3]) ).
cnf(f_478_5,plain,
m1_subset_1(sK105(U_1647),k1_zfmisc_1(U_1647)),
inference(clausify,[status(thm)],[f_478_4]) ).
cnf(f_478_6,plain,
v1_xboole_0(sK105(U_1647)),
inference(clausify,[status(thm)],[f_478_4]) ).
fof(f_479_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d1_subset_1]) ).
fof(f_479_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_479_1]) ).
cnf(f_479_3,plain,
$true,
inference(clausify,[status(thm)],[f_479_2]) ).
fof(f_480_1,plain,
! [A,B] :
( ( ( ( m1_subset_1(B,A)
| ~ v1_xboole_0(B) )
& ( v1_xboole_0(B)
| ~ m1_subset_1(B,A) ) )
| ~ v1_xboole_0(A) )
& ( ( ( m1_subset_1(B,A)
| ~ r2_hidden(B,A) )
& ( r2_hidden(B,A)
| ~ m1_subset_1(B,A) ) )
| v1_xboole_0(A) ) ),
inference(fof_nnf,[status(thm)],[d2_subset_1]) ).
fof(f_480_2,plain,
! [U_1649,U_1648] :
( ( ( ( m1_subset_1(U_1648,U_1649)
| ~ v1_xboole_0(U_1648) )
& ( v1_xboole_0(U_1648)
| ~ m1_subset_1(U_1648,U_1649) ) )
| ~ v1_xboole_0(U_1649) )
& ( ( ( m1_subset_1(U_1648,U_1649)
| ~ r2_hidden(U_1648,U_1649) )
& ( r2_hidden(U_1648,U_1649)
| ~ m1_subset_1(U_1648,U_1649) ) )
| v1_xboole_0(U_1649) ) ),
inference(variable_rename,[status(thm)],[f_480_1]) ).
fof(f_480_3,plain,
( ! [U_1657] :
( ( ! [U_1655] :
( m1_subset_1(U_1655,U_1657)
| ~ v1_xboole_0(U_1655) )
& ! [U_1654] :
( v1_xboole_0(U_1654)
| ~ m1_subset_1(U_1654,U_1657) ) )
| ~ v1_xboole_0(U_1657) )
& ! [U_1656] :
( ( ! [U_1653] :
( m1_subset_1(U_1653,U_1656)
| ~ r2_hidden(U_1653,U_1656) )
& ! [U_1652] :
( r2_hidden(U_1652,U_1656)
| ~ m1_subset_1(U_1652,U_1656) ) )
| v1_xboole_0(U_1656) ) ),
inference(miniscope,[status(thm)],[f_480_2]) ).
fof(f_480_4,plain,
( ! [U_1655,U_1654,U_1657] :
( m1_subset_1(U_1655,U_1657)
| ~ v1_xboole_0(U_1655)
| ~ sP146(U_1655,U_1654,U_1657) )
& ! [U_1655,U_1654,U_1657] :
( v1_xboole_0(U_1654)
| ~ m1_subset_1(U_1654,U_1657)
| ~ sP146(U_1655,U_1654,U_1657) )
& ! [U_1652,U_1656,U_1653] :
( m1_subset_1(U_1653,U_1656)
| ~ r2_hidden(U_1653,U_1656)
| ~ sP145(U_1652,U_1656,U_1653) )
& ! [U_1652,U_1656,U_1653] :
( r2_hidden(U_1652,U_1656)
| ~ m1_subset_1(U_1652,U_1656)
| ~ sP145(U_1652,U_1656,U_1653) )
& ! [U_1655,U_1654,U_1657] :
( sP146(U_1655,U_1654,U_1657)
| ~ v1_xboole_0(U_1657) )
& ! [U_1652,U_1656,U_1653] :
( sP145(U_1652,U_1656,U_1653)
| v1_xboole_0(U_1656) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP145,sP146])],[f_480_3]) ).
cnf(f_480_5,plain,
( sP145(U_1652,U_1656,U_1653)
| v1_xboole_0(U_1656) ),
inference(clausify,[status(thm)],[f_480_4]) ).
cnf(f_480_6,plain,
( sP146(U_1655,U_1654,U_1657)
| ~ v1_xboole_0(U_1657) ),
inference(clausify,[status(thm)],[f_480_4]) ).
cnf(f_480_7,plain,
( r2_hidden(U_1652,U_1656)
| ~ m1_subset_1(U_1652,U_1656)
| ~ sP145(U_1652,U_1656,U_1653) ),
inference(clausify,[status(thm)],[f_480_4]) ).
cnf(f_480_8,plain,
( m1_subset_1(U_1653,U_1656)
| ~ r2_hidden(U_1653,U_1656)
| ~ sP145(U_1652,U_1656,U_1653) ),
inference(clausify,[status(thm)],[f_480_4]) ).
cnf(f_480_9,plain,
( v1_xboole_0(U_1654)
| ~ m1_subset_1(U_1654,U_1657)
| ~ sP146(U_1655,U_1654,U_1657) ),
inference(clausify,[status(thm)],[f_480_4]) ).
cnf(f_480_10,plain,
( m1_subset_1(U_1655,U_1657)
| ~ v1_xboole_0(U_1655)
| ~ sP146(U_1655,U_1654,U_1657) ),
inference(clausify,[status(thm)],[f_480_4]) ).
fof(f_481_1,plain,
! [A] : k1_subset_1(A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[d3_subset_1]) ).
fof(f_481_2,plain,
! [U_1658] : k1_subset_1(U_1658) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_481_1]) ).
fof(f_481_3,plain,
! [U_1658] : k1_subset_1(U_1658) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_481_2]) ).
cnf(f_481_4,plain,
k1_subset_1(U_1658) = k1_xboole_0,
inference(clausify,[status(thm)],[f_481_3]) ).
fof(f_482_1,plain,
! [A] : k2_subset_1(A) = A,
inference(fof_nnf,[status(thm)],[d4_subset_1]) ).
fof(f_482_2,plain,
! [U_1659] : k2_subset_1(U_1659) = U_1659,
inference(variable_rename,[status(thm)],[f_482_1]) ).
fof(f_482_3,plain,
! [U_1659] : k2_subset_1(U_1659) = U_1659,
inference(definitional_conversion,[status(esa)],[f_482_2]) ).
cnf(f_482_4,plain,
k2_subset_1(U_1659) = U_1659,
inference(clausify,[status(thm)],[f_482_3]) ).
fof(f_483_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_subset_1]) ).
fof(f_483_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_483_1]) ).
cnf(f_483_3,plain,
$true,
inference(clausify,[status(thm)],[f_483_2]) ).
fof(f_484_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_subset_1]) ).
fof(f_484_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_484_1]) ).
cnf(f_484_3,plain,
$true,
inference(clausify,[status(thm)],[f_484_2]) ).
fof(f_485_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_subset_1]) ).
fof(f_485_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_485_1]) ).
cnf(f_485_3,plain,
$true,
inference(clausify,[status(thm)],[f_485_2]) ).
fof(f_486_1,plain,
! [A] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[t4_subset_1]) ).
fof(f_486_2,plain,
! [U_1660] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(U_1660)),
inference(variable_rename,[status(thm)],[f_486_1]) ).
fof(f_486_3,plain,
! [U_1660] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(U_1660)),
inference(definitional_conversion,[status(esa)],[f_486_2]) ).
cnf(f_486_4,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(U_1660)),
inference(clausify,[status(thm)],[f_486_3]) ).
fof(f_487_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_subset_1]) ).
fof(f_487_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_487_1]) ).
cnf(f_487_3,plain,
$true,
inference(clausify,[status(thm)],[f_487_2]) ).
fof(f_488_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_subset_1]) ).
fof(f_488_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_488_1]) ).
cnf(f_488_3,plain,
$true,
inference(clausify,[status(thm)],[f_488_2]) ).
fof(f_489_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(B,C)
| ? [D] :
( ~ r2_hidden(D,C)
& r2_hidden(D,B)
& m1_subset_1(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t7_subset_1]) ).
fof(f_489_2,plain,
! [U_1664,U_1663] :
( ! [U_1662] :
( r1_tarski(U_1663,U_1662)
| ? [U_1661] :
( ~ r2_hidden(U_1661,U_1662)
& r2_hidden(U_1661,U_1663)
& m1_subset_1(U_1661,U_1664) )
| ~ m1_subset_1(U_1662,k1_zfmisc_1(U_1664)) )
| ~ m1_subset_1(U_1663,k1_zfmisc_1(U_1664)) ),
inference(variable_rename,[status(thm)],[f_489_1]) ).
fof(f_489_3,plain,
! [U_1664,U_1663] :
( ! [U_1662] :
( r1_tarski(U_1663,U_1662)
| ( ~ r2_hidden(sK106(U_1664,U_1663,U_1662),U_1662)
& r2_hidden(sK106(U_1664,U_1663,U_1662),U_1663)
& m1_subset_1(sK106(U_1664,U_1663,U_1662),U_1664) )
| ~ m1_subset_1(U_1662,k1_zfmisc_1(U_1664)) )
| ~ m1_subset_1(U_1663,k1_zfmisc_1(U_1664)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106]),skolemize(U_1661,sK106(U_1664,U_1663,U_1662))],[f_489_2]) ).
fof(f_489_4,plain,
( ! [U_1664,U_1662,U_1663] :
( ~ r2_hidden(sK106(U_1664,U_1663,U_1662),U_1662)
| ~ sP147(U_1664,U_1662,U_1663) )
& ! [U_1664,U_1662,U_1663] :
( r2_hidden(sK106(U_1664,U_1663,U_1662),U_1663)
| ~ sP147(U_1664,U_1662,U_1663) )
& ! [U_1664,U_1662,U_1663] :
( m1_subset_1(sK106(U_1664,U_1663,U_1662),U_1664)
| ~ sP147(U_1664,U_1662,U_1663) )
& ! [U_1664,U_1662,U_1663] :
( r1_tarski(U_1663,U_1662)
| sP147(U_1664,U_1662,U_1663)
| ~ m1_subset_1(U_1662,k1_zfmisc_1(U_1664))
| ~ m1_subset_1(U_1663,k1_zfmisc_1(U_1664)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP147])],[f_489_3]) ).
cnf(f_489_5,plain,
( r1_tarski(U_1663,U_1662)
| sP147(U_1664,U_1662,U_1663)
| ~ m1_subset_1(U_1662,k1_zfmisc_1(U_1664))
| ~ m1_subset_1(U_1663,k1_zfmisc_1(U_1664)) ),
inference(clausify,[status(thm)],[f_489_4]) ).
cnf(f_489_6,plain,
( m1_subset_1(sK106(U_1664,U_1663,U_1662),U_1664)
| ~ sP147(U_1664,U_1662,U_1663) ),
inference(clausify,[status(thm)],[f_489_4]) ).
cnf(f_489_7,plain,
( r2_hidden(sK106(U_1664,U_1663,U_1662),U_1663)
| ~ sP147(U_1664,U_1662,U_1663) ),
inference(clausify,[status(thm)],[f_489_4]) ).
cnf(f_489_8,plain,
( ~ r2_hidden(sK106(U_1664,U_1663,U_1662),U_1662)
| ~ sP147(U_1664,U_1662,U_1663) ),
inference(clausify,[status(thm)],[f_489_4]) ).
fof(f_490_1,plain,
! [A,B] :
( ! [C] :
( B = C
| ? [D] :
( ( ( ~ r2_hidden(D,B)
& r2_hidden(D,C) )
| ( ~ r2_hidden(D,C)
& r2_hidden(D,B) ) )
& m1_subset_1(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t8_subset_1]) ).
fof(f_490_2,plain,
! [U_1668,U_1667] :
( ! [U_1666] :
( U_1667 = U_1666
| ? [U_1665] :
( ( ( ~ r2_hidden(U_1665,U_1667)
& r2_hidden(U_1665,U_1666) )
| ( ~ r2_hidden(U_1665,U_1666)
& r2_hidden(U_1665,U_1667) ) )
& m1_subset_1(U_1665,U_1668) )
| ~ m1_subset_1(U_1666,k1_zfmisc_1(U_1668)) )
| ~ m1_subset_1(U_1667,k1_zfmisc_1(U_1668)) ),
inference(variable_rename,[status(thm)],[f_490_1]) ).
fof(f_490_3,plain,
! [U_1668,U_1667] :
( ! [U_1666] :
( U_1667 = U_1666
| ( ( ( ~ r2_hidden(sK107(U_1668,U_1667,U_1666),U_1667)
& r2_hidden(sK107(U_1668,U_1667,U_1666),U_1666) )
| ( ~ r2_hidden(sK107(U_1668,U_1667,U_1666),U_1666)
& r2_hidden(sK107(U_1668,U_1667,U_1666),U_1667) ) )
& m1_subset_1(sK107(U_1668,U_1667,U_1666),U_1668) )
| ~ m1_subset_1(U_1666,k1_zfmisc_1(U_1668)) )
| ~ m1_subset_1(U_1667,k1_zfmisc_1(U_1668)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(U_1665,sK107(U_1668,U_1667,U_1666))],[f_490_2]) ).
fof(f_490_4,plain,
( ! [U_1666,U_1667,U_1668] :
( ~ r2_hidden(sK107(U_1668,U_1667,U_1666),U_1667)
| ~ sP149(U_1666,U_1667,U_1668) )
& ! [U_1666,U_1667,U_1668] :
( r2_hidden(sK107(U_1668,U_1667,U_1666),U_1666)
| ~ sP149(U_1666,U_1667,U_1668) )
& ! [U_1666,U_1667,U_1668] :
( ~ r2_hidden(sK107(U_1668,U_1667,U_1666),U_1666)
| ~ sP148(U_1666,U_1667,U_1668) )
& ! [U_1666,U_1667,U_1668] :
( r2_hidden(sK107(U_1668,U_1667,U_1666),U_1667)
| ~ sP148(U_1666,U_1667,U_1668) )
& ! [U_1666,U_1667,U_1668] :
( sP149(U_1666,U_1667,U_1668)
| sP148(U_1666,U_1667,U_1668)
| ~ sP150(U_1666,U_1667,U_1668) )
& ! [U_1666,U_1667,U_1668] :
( m1_subset_1(sK107(U_1668,U_1667,U_1666),U_1668)
| ~ sP150(U_1666,U_1667,U_1668) )
& ! [U_1666,U_1667,U_1668] :
( U_1667 = U_1666
| sP150(U_1666,U_1667,U_1668)
| ~ m1_subset_1(U_1666,k1_zfmisc_1(U_1668))
| ~ m1_subset_1(U_1667,k1_zfmisc_1(U_1668)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP148,sP149,sP150])],[f_490_3]) ).
cnf(f_490_5,plain,
( U_1667 = U_1666
| sP150(U_1666,U_1667,U_1668)
| ~ m1_subset_1(U_1666,k1_zfmisc_1(U_1668))
| ~ m1_subset_1(U_1667,k1_zfmisc_1(U_1668)) ),
inference(clausify,[status(thm)],[f_490_4]) ).
cnf(f_490_6,plain,
( m1_subset_1(sK107(U_1668,U_1667,U_1666),U_1668)
| ~ sP150(U_1666,U_1667,U_1668) ),
inference(clausify,[status(thm)],[f_490_4]) ).
cnf(f_490_7,plain,
( sP149(U_1666,U_1667,U_1668)
| sP148(U_1666,U_1667,U_1668)
| ~ sP150(U_1666,U_1667,U_1668) ),
inference(clausify,[status(thm)],[f_490_4]) ).
cnf(f_490_8,plain,
( r2_hidden(sK107(U_1668,U_1667,U_1666),U_1667)
| ~ sP148(U_1666,U_1667,U_1668) ),
inference(clausify,[status(thm)],[f_490_4]) ).
cnf(f_490_9,plain,
( ~ r2_hidden(sK107(U_1668,U_1667,U_1666),U_1666)
| ~ sP148(U_1666,U_1667,U_1668) ),
inference(clausify,[status(thm)],[f_490_4]) ).
cnf(f_490_10,plain,
( r2_hidden(sK107(U_1668,U_1667,U_1666),U_1666)
| ~ sP149(U_1666,U_1667,U_1668) ),
inference(clausify,[status(thm)],[f_490_4]) ).
cnf(f_490_11,plain,
( ~ r2_hidden(sK107(U_1668,U_1667,U_1666),U_1667)
| ~ sP149(U_1666,U_1667,U_1668) ),
inference(clausify,[status(thm)],[f_490_4]) ).
fof(f_491_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_subset_1]) ).
fof(f_491_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_491_1]) ).
cnf(f_491_3,plain,
$true,
inference(clausify,[status(thm)],[f_491_2]) ).
fof(f_492_1,plain,
! [A,B] :
( ? [C] :
( r2_hidden(C,B)
& m1_subset_1(C,A) )
| B = k1_xboole_0
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t10_subset_1]) ).
fof(f_492_2,plain,
! [U_1671,U_1670] :
( ? [U_1669] :
( r2_hidden(U_1669,U_1670)
& m1_subset_1(U_1669,U_1671) )
| U_1670 = k1_xboole_0
| ~ m1_subset_1(U_1670,k1_zfmisc_1(U_1671)) ),
inference(variable_rename,[status(thm)],[f_492_1]) ).
fof(f_492_3,plain,
! [U_1671,U_1670] :
( ( r2_hidden(sK108(U_1671,U_1670),U_1670)
& m1_subset_1(sK108(U_1671,U_1670),U_1671) )
| U_1670 = k1_xboole_0
| ~ m1_subset_1(U_1670,k1_zfmisc_1(U_1671)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(U_1669,sK108(U_1671,U_1670))],[f_492_2]) ).
fof(f_492_4,plain,
( ! [U_1670,U_1671] :
( r2_hidden(sK108(U_1671,U_1670),U_1670)
| ~ sP151(U_1670,U_1671) )
& ! [U_1670,U_1671] :
( m1_subset_1(sK108(U_1671,U_1670),U_1671)
| ~ sP151(U_1670,U_1671) )
& ! [U_1670,U_1671] :
( sP151(U_1670,U_1671)
| U_1670 = k1_xboole_0
| ~ m1_subset_1(U_1670,k1_zfmisc_1(U_1671)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP151])],[f_492_3]) ).
cnf(f_492_5,plain,
( sP151(U_1670,U_1671)
| U_1670 = k1_xboole_0
| ~ m1_subset_1(U_1670,k1_zfmisc_1(U_1671)) ),
inference(clausify,[status(thm)],[f_492_4]) ).
cnf(f_492_6,plain,
( m1_subset_1(sK108(U_1671,U_1670),U_1671)
| ~ sP151(U_1670,U_1671) ),
inference(clausify,[status(thm)],[f_492_4]) ).
cnf(f_492_7,plain,
( r2_hidden(sK108(U_1671,U_1670),U_1670)
| ~ sP151(U_1670,U_1671) ),
inference(clausify,[status(thm)],[f_492_4]) ).
fof(f_493_1,plain,
! [A,B] :
( k3_subset_1(A,B) = k4_xboole_0(A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[d5_subset_1]) ).
fof(f_493_2,plain,
! [U_1673,U_1672] :
( k3_subset_1(U_1673,U_1672) = k4_xboole_0(U_1673,U_1672)
| ~ m1_subset_1(U_1672,k1_zfmisc_1(U_1673)) ),
inference(variable_rename,[status(thm)],[f_493_1]) ).
fof(f_493_3,plain,
! [U_1672,U_1673] :
( k3_subset_1(U_1673,U_1672) = k4_xboole_0(U_1673,U_1672)
| ~ m1_subset_1(U_1672,k1_zfmisc_1(U_1673)) ),
inference(definitional_conversion,[status(esa)],[f_493_2]) ).
cnf(f_493_4,plain,
( k3_subset_1(U_1673,U_1672) = k4_xboole_0(U_1673,U_1672)
| ~ m1_subset_1(U_1672,k1_zfmisc_1(U_1673)) ),
inference(clausify,[status(thm)],[f_493_3]) ).
fof(f_494_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_subset_1]) ).
fof(f_494_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_494_1]) ).
cnf(f_494_3,plain,
$true,
inference(clausify,[status(thm)],[f_494_2]) ).
fof(f_495_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_subset_1]) ).
fof(f_495_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_495_1]) ).
cnf(f_495_3,plain,
$true,
inference(clausify,[status(thm)],[f_495_2]) ).
fof(f_496_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_subset_1]) ).
fof(f_496_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_496_1]) ).
cnf(f_496_3,plain,
$true,
inference(clausify,[status(thm)],[f_496_2]) ).
fof(f_497_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_subset_1]) ).
fof(f_497_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_497_1]) ).
cnf(f_497_3,plain,
$true,
inference(clausify,[status(thm)],[f_497_2]) ).
fof(f_498_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( B = k4_subset_1(A,C,D)
| ? [E] :
( ( ( ~ r2_hidden(E,B)
& ( r2_hidden(E,D)
| r2_hidden(E,C) ) )
| ( ~ r2_hidden(E,D)
& ~ r2_hidden(E,C)
& r2_hidden(E,B) ) )
& m1_subset_1(E,A) )
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t15_subset_1]) ).
fof(f_498_2,plain,
! [U_1678,U_1677] :
( ! [U_1676] :
( ! [U_1675] :
( U_1677 = k4_subset_1(U_1678,U_1676,U_1675)
| ? [U_1674] :
( ( ( ~ r2_hidden(U_1674,U_1677)
& ( r2_hidden(U_1674,U_1675)
| r2_hidden(U_1674,U_1676) ) )
| ( ~ r2_hidden(U_1674,U_1675)
& ~ r2_hidden(U_1674,U_1676)
& r2_hidden(U_1674,U_1677) ) )
& m1_subset_1(U_1674,U_1678) )
| ~ m1_subset_1(U_1675,k1_zfmisc_1(U_1678)) )
| ~ m1_subset_1(U_1676,k1_zfmisc_1(U_1678)) )
| ~ m1_subset_1(U_1677,k1_zfmisc_1(U_1678)) ),
inference(variable_rename,[status(thm)],[f_498_1]) ).
fof(f_498_3,plain,
! [U_1678,U_1677] :
( ! [U_1676] :
( ! [U_1675] :
( U_1677 = k4_subset_1(U_1678,U_1676,U_1675)
| ( ( ( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1677)
& ( r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1675)
| r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1676) ) )
| ( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1675)
& ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1676)
& r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1677) ) )
& m1_subset_1(sK109(U_1678,U_1677,U_1676,U_1675),U_1678) )
| ~ m1_subset_1(U_1675,k1_zfmisc_1(U_1678)) )
| ~ m1_subset_1(U_1676,k1_zfmisc_1(U_1678)) )
| ~ m1_subset_1(U_1677,k1_zfmisc_1(U_1678)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(U_1674,sK109(U_1678,U_1677,U_1676,U_1675))],[f_498_2]) ).
fof(f_498_4,plain,
( ! [U_1676,U_1675,U_1677,U_1678] :
( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1677)
| ~ sP153(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1675)
| r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1676)
| ~ sP153(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1675)
| ~ sP152(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1676)
| ~ sP152(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1677)
| ~ sP152(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( sP153(U_1676,U_1675,U_1677,U_1678)
| sP152(U_1676,U_1675,U_1677,U_1678)
| ~ sP154(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( m1_subset_1(sK109(U_1678,U_1677,U_1676,U_1675),U_1678)
| ~ sP154(U_1676,U_1675,U_1677,U_1678) )
& ! [U_1676,U_1675,U_1677,U_1678] :
( U_1677 = k4_subset_1(U_1678,U_1676,U_1675)
| sP154(U_1676,U_1675,U_1677,U_1678)
| ~ m1_subset_1(U_1675,k1_zfmisc_1(U_1678))
| ~ m1_subset_1(U_1676,k1_zfmisc_1(U_1678))
| ~ m1_subset_1(U_1677,k1_zfmisc_1(U_1678)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP152,sP153,sP154])],[f_498_3]) ).
cnf(f_498_5,plain,
( U_1677 = k4_subset_1(U_1678,U_1676,U_1675)
| sP154(U_1676,U_1675,U_1677,U_1678)
| ~ m1_subset_1(U_1675,k1_zfmisc_1(U_1678))
| ~ m1_subset_1(U_1676,k1_zfmisc_1(U_1678))
| ~ m1_subset_1(U_1677,k1_zfmisc_1(U_1678)) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_6,plain,
( m1_subset_1(sK109(U_1678,U_1677,U_1676,U_1675),U_1678)
| ~ sP154(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_7,plain,
( sP153(U_1676,U_1675,U_1677,U_1678)
| sP152(U_1676,U_1675,U_1677,U_1678)
| ~ sP154(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_8,plain,
( r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1677)
| ~ sP152(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_9,plain,
( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1676)
| ~ sP152(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_10,plain,
( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1675)
| ~ sP152(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_11,plain,
( r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1675)
| r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1676)
| ~ sP153(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
cnf(f_498_12,plain,
( ~ r2_hidden(sK109(U_1678,U_1677,U_1676,U_1675),U_1677)
| ~ sP153(U_1676,U_1675,U_1677,U_1678) ),
inference(clausify,[status(thm)],[f_498_4]) ).
fof(f_499_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( B = k5_subset_1(A,C,D)
| ? [E] :
( ( ( ~ r2_hidden(E,B)
& r2_hidden(E,D)
& r2_hidden(E,C) )
| ( ( ~ r2_hidden(E,D)
| ~ r2_hidden(E,C) )
& r2_hidden(E,B) ) )
& m1_subset_1(E,A) )
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t16_subset_1]) ).
fof(f_499_2,plain,
! [U_1683,U_1682] :
( ! [U_1681] :
( ! [U_1680] :
( U_1682 = k5_subset_1(U_1683,U_1681,U_1680)
| ? [U_1679] :
( ( ( ~ r2_hidden(U_1679,U_1682)
& r2_hidden(U_1679,U_1680)
& r2_hidden(U_1679,U_1681) )
| ( ( ~ r2_hidden(U_1679,U_1680)
| ~ r2_hidden(U_1679,U_1681) )
& r2_hidden(U_1679,U_1682) ) )
& m1_subset_1(U_1679,U_1683) )
| ~ m1_subset_1(U_1680,k1_zfmisc_1(U_1683)) )
| ~ m1_subset_1(U_1681,k1_zfmisc_1(U_1683)) )
| ~ m1_subset_1(U_1682,k1_zfmisc_1(U_1683)) ),
inference(variable_rename,[status(thm)],[f_499_1]) ).
fof(f_499_3,plain,
! [U_1683,U_1682] :
( ! [U_1681] :
( ! [U_1680] :
( U_1682 = k5_subset_1(U_1683,U_1681,U_1680)
| ( ( ( ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1682)
& r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1680)
& r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1681) )
| ( ( ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1680)
| ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1681) )
& r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1682) ) )
& m1_subset_1(sK110(U_1683,U_1682,U_1681,U_1680),U_1683) )
| ~ m1_subset_1(U_1680,k1_zfmisc_1(U_1683)) )
| ~ m1_subset_1(U_1681,k1_zfmisc_1(U_1683)) )
| ~ m1_subset_1(U_1682,k1_zfmisc_1(U_1683)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110]),skolemize(U_1679,sK110(U_1683,U_1682,U_1681,U_1680))],[f_499_2]) ).
fof(f_499_4,plain,
( ! [U_1681,U_1680,U_1682,U_1683] :
( ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1682)
| ~ sP156(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1680)
| ~ sP156(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1681)
| ~ sP156(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1680)
| ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1681)
| ~ sP155(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1682)
| ~ sP155(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( sP156(U_1681,U_1680,U_1682,U_1683)
| sP155(U_1681,U_1680,U_1682,U_1683)
| ~ sP157(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( m1_subset_1(sK110(U_1683,U_1682,U_1681,U_1680),U_1683)
| ~ sP157(U_1681,U_1680,U_1682,U_1683) )
& ! [U_1681,U_1680,U_1682,U_1683] :
( U_1682 = k5_subset_1(U_1683,U_1681,U_1680)
| sP157(U_1681,U_1680,U_1682,U_1683)
| ~ m1_subset_1(U_1680,k1_zfmisc_1(U_1683))
| ~ m1_subset_1(U_1681,k1_zfmisc_1(U_1683))
| ~ m1_subset_1(U_1682,k1_zfmisc_1(U_1683)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP155,sP156,sP157])],[f_499_3]) ).
cnf(f_499_5,plain,
( U_1682 = k5_subset_1(U_1683,U_1681,U_1680)
| sP157(U_1681,U_1680,U_1682,U_1683)
| ~ m1_subset_1(U_1680,k1_zfmisc_1(U_1683))
| ~ m1_subset_1(U_1681,k1_zfmisc_1(U_1683))
| ~ m1_subset_1(U_1682,k1_zfmisc_1(U_1683)) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_6,plain,
( m1_subset_1(sK110(U_1683,U_1682,U_1681,U_1680),U_1683)
| ~ sP157(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_7,plain,
( sP156(U_1681,U_1680,U_1682,U_1683)
| sP155(U_1681,U_1680,U_1682,U_1683)
| ~ sP157(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_8,plain,
( r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1682)
| ~ sP155(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_9,plain,
( ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1680)
| ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1681)
| ~ sP155(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_10,plain,
( r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1681)
| ~ sP156(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_11,plain,
( r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1680)
| ~ sP156(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
cnf(f_499_12,plain,
( ~ r2_hidden(sK110(U_1683,U_1682,U_1681,U_1680),U_1682)
| ~ sP156(U_1681,U_1680,U_1682,U_1683) ),
inference(clausify,[status(thm)],[f_499_4]) ).
fof(f_500_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( B = k6_subset_1(A,C,D)
| ? [E] :
( ( ( ~ r2_hidden(E,B)
& ~ r2_hidden(E,D)
& r2_hidden(E,C) )
| ( ( r2_hidden(E,D)
| ~ r2_hidden(E,C) )
& r2_hidden(E,B) ) )
& m1_subset_1(E,A) )
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t17_subset_1]) ).
fof(f_500_2,plain,
! [U_1688,U_1687] :
( ! [U_1686] :
( ! [U_1685] :
( U_1687 = k6_subset_1(U_1688,U_1686,U_1685)
| ? [U_1684] :
( ( ( ~ r2_hidden(U_1684,U_1687)
& ~ r2_hidden(U_1684,U_1685)
& r2_hidden(U_1684,U_1686) )
| ( ( r2_hidden(U_1684,U_1685)
| ~ r2_hidden(U_1684,U_1686) )
& r2_hidden(U_1684,U_1687) ) )
& m1_subset_1(U_1684,U_1688) )
| ~ m1_subset_1(U_1685,k1_zfmisc_1(U_1688)) )
| ~ m1_subset_1(U_1686,k1_zfmisc_1(U_1688)) )
| ~ m1_subset_1(U_1687,k1_zfmisc_1(U_1688)) ),
inference(variable_rename,[status(thm)],[f_500_1]) ).
fof(f_500_3,plain,
! [U_1688,U_1687] :
( ! [U_1686] :
( ! [U_1685] :
( U_1687 = k6_subset_1(U_1688,U_1686,U_1685)
| ( ( ( ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1687)
& ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1685)
& r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1686) )
| ( ( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1685)
| ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1686) )
& r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1687) ) )
& m1_subset_1(sK111(U_1688,U_1687,U_1686,U_1685),U_1688) )
| ~ m1_subset_1(U_1685,k1_zfmisc_1(U_1688)) )
| ~ m1_subset_1(U_1686,k1_zfmisc_1(U_1688)) )
| ~ m1_subset_1(U_1687,k1_zfmisc_1(U_1688)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111]),skolemize(U_1684,sK111(U_1688,U_1687,U_1686,U_1685))],[f_500_2]) ).
fof(f_500_4,plain,
( ! [U_1685,U_1687,U_1688,U_1686] :
( ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1687)
| ~ sP159(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1685)
| ~ sP159(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1686)
| ~ sP159(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1685)
| ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1686)
| ~ sP158(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1687)
| ~ sP158(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( sP159(U_1685,U_1687,U_1688,U_1686)
| sP158(U_1685,U_1687,U_1688,U_1686)
| ~ sP160(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( m1_subset_1(sK111(U_1688,U_1687,U_1686,U_1685),U_1688)
| ~ sP160(U_1685,U_1687,U_1688,U_1686) )
& ! [U_1685,U_1687,U_1688,U_1686] :
( U_1687 = k6_subset_1(U_1688,U_1686,U_1685)
| sP160(U_1685,U_1687,U_1688,U_1686)
| ~ m1_subset_1(U_1685,k1_zfmisc_1(U_1688))
| ~ m1_subset_1(U_1686,k1_zfmisc_1(U_1688))
| ~ m1_subset_1(U_1687,k1_zfmisc_1(U_1688)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP158,sP159,sP160])],[f_500_3]) ).
cnf(f_500_5,plain,
( U_1687 = k6_subset_1(U_1688,U_1686,U_1685)
| sP160(U_1685,U_1687,U_1688,U_1686)
| ~ m1_subset_1(U_1685,k1_zfmisc_1(U_1688))
| ~ m1_subset_1(U_1686,k1_zfmisc_1(U_1688))
| ~ m1_subset_1(U_1687,k1_zfmisc_1(U_1688)) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_6,plain,
( m1_subset_1(sK111(U_1688,U_1687,U_1686,U_1685),U_1688)
| ~ sP160(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_7,plain,
( sP159(U_1685,U_1687,U_1688,U_1686)
| sP158(U_1685,U_1687,U_1688,U_1686)
| ~ sP160(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_8,plain,
( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1687)
| ~ sP158(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_9,plain,
( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1685)
| ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1686)
| ~ sP158(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_10,plain,
( r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1686)
| ~ sP159(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_11,plain,
( ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1685)
| ~ sP159(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
cnf(f_500_12,plain,
( ~ r2_hidden(sK111(U_1688,U_1687,U_1686,U_1685),U_1687)
| ~ sP159(U_1685,U_1687,U_1688,U_1686) ),
inference(clausify,[status(thm)],[f_500_4]) ).
fof(f_501_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( B = k7_subset_1(A,C,D)
| ? [E] :
( ( ( ~ r2_hidden(E,B)
& ( ( ~ r2_hidden(E,C)
& r2_hidden(E,D) )
| ( ~ r2_hidden(E,D)
& r2_hidden(E,C) ) ) )
| ( ( r2_hidden(E,C)
| ~ r2_hidden(E,D) )
& ( r2_hidden(E,D)
| ~ r2_hidden(E,C) )
& r2_hidden(E,B) ) )
& m1_subset_1(E,A) )
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t18_subset_1]) ).
fof(f_501_2,plain,
! [U_1693,U_1692] :
( ! [U_1691] :
( ! [U_1690] :
( U_1692 = k7_subset_1(U_1693,U_1691,U_1690)
| ? [U_1689] :
( ( ( ~ r2_hidden(U_1689,U_1692)
& ( ( ~ r2_hidden(U_1689,U_1691)
& r2_hidden(U_1689,U_1690) )
| ( ~ r2_hidden(U_1689,U_1690)
& r2_hidden(U_1689,U_1691) ) ) )
| ( ( r2_hidden(U_1689,U_1691)
| ~ r2_hidden(U_1689,U_1690) )
& ( r2_hidden(U_1689,U_1690)
| ~ r2_hidden(U_1689,U_1691) )
& r2_hidden(U_1689,U_1692) ) )
& m1_subset_1(U_1689,U_1693) )
| ~ m1_subset_1(U_1690,k1_zfmisc_1(U_1693)) )
| ~ m1_subset_1(U_1691,k1_zfmisc_1(U_1693)) )
| ~ m1_subset_1(U_1692,k1_zfmisc_1(U_1693)) ),
inference(variable_rename,[status(thm)],[f_501_1]) ).
fof(f_501_3,plain,
! [U_1693,U_1692] :
( ! [U_1691] :
( ! [U_1690] :
( U_1692 = k7_subset_1(U_1693,U_1691,U_1690)
| ( ( ( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1692)
& ( ( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
& r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690) )
| ( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
& r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691) ) ) )
| ( ( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690) )
& ( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691) )
& r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1692) ) )
& m1_subset_1(sK112(U_1693,U_1692,U_1691,U_1690),U_1693) )
| ~ m1_subset_1(U_1690,k1_zfmisc_1(U_1693)) )
| ~ m1_subset_1(U_1691,k1_zfmisc_1(U_1693)) )
| ~ m1_subset_1(U_1692,k1_zfmisc_1(U_1693)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK112]),skolemize(U_1689,sK112(U_1693,U_1692,U_1691,U_1690))],[f_501_2]) ).
fof(f_501_4,plain,
( ! [U_1693,U_1692,U_1691,U_1690] :
( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ sP163(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ sP163(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ sP162(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ sP162(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1692)
| ~ sP164(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( sP163(U_1693,U_1692,U_1691,U_1690)
| sP162(U_1693,U_1692,U_1691,U_1690)
| ~ sP164(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ sP161(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ sP161(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1692)
| ~ sP161(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( sP164(U_1693,U_1692,U_1691,U_1690)
| sP161(U_1693,U_1692,U_1691,U_1690)
| ~ sP165(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( m1_subset_1(sK112(U_1693,U_1692,U_1691,U_1690),U_1693)
| ~ sP165(U_1693,U_1692,U_1691,U_1690) )
& ! [U_1693,U_1692,U_1691,U_1690] :
( U_1692 = k7_subset_1(U_1693,U_1691,U_1690)
| sP165(U_1693,U_1692,U_1691,U_1690)
| ~ m1_subset_1(U_1690,k1_zfmisc_1(U_1693))
| ~ m1_subset_1(U_1691,k1_zfmisc_1(U_1693))
| ~ m1_subset_1(U_1692,k1_zfmisc_1(U_1693)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP161,sP162,sP163,sP164,sP165])],[f_501_3]) ).
cnf(f_501_5,plain,
( U_1692 = k7_subset_1(U_1693,U_1691,U_1690)
| sP165(U_1693,U_1692,U_1691,U_1690)
| ~ m1_subset_1(U_1690,k1_zfmisc_1(U_1693))
| ~ m1_subset_1(U_1691,k1_zfmisc_1(U_1693))
| ~ m1_subset_1(U_1692,k1_zfmisc_1(U_1693)) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_6,plain,
( m1_subset_1(sK112(U_1693,U_1692,U_1691,U_1690),U_1693)
| ~ sP165(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_7,plain,
( sP164(U_1693,U_1692,U_1691,U_1690)
| sP161(U_1693,U_1692,U_1691,U_1690)
| ~ sP165(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_8,plain,
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1692)
| ~ sP161(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_9,plain,
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ sP161(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_10,plain,
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ sP161(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_11,plain,
( sP163(U_1693,U_1692,U_1691,U_1690)
| sP162(U_1693,U_1692,U_1691,U_1690)
| ~ sP164(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_12,plain,
( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1692)
| ~ sP164(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_13,plain,
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ sP162(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_14,plain,
( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ sP162(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_15,plain,
( r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1690)
| ~ sP163(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
cnf(f_501_16,plain,
( ~ r2_hidden(sK112(U_1693,U_1692,U_1691,U_1690),U_1691)
| ~ sP163(U_1693,U_1692,U_1691,U_1690) ),
inference(clausify,[status(thm)],[f_501_4]) ).
fof(f_502_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t19_subset_1]) ).
fof(f_502_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_502_1]) ).
cnf(f_502_3,plain,
$true,
inference(clausify,[status(thm)],[f_502_2]) ).
fof(f_503_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_subset_1]) ).
fof(f_503_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_503_1]) ).
cnf(f_503_3,plain,
$true,
inference(clausify,[status(thm)],[f_503_2]) ).
fof(f_504_1,plain,
! [A] : k1_subset_1(A) = k3_subset_1(A,k2_subset_1(A)),
inference(fof_nnf,[status(thm)],[t21_subset_1]) ).
fof(f_504_2,plain,
! [U_1694] : k1_subset_1(U_1694) = k3_subset_1(U_1694,k2_subset_1(U_1694)),
inference(variable_rename,[status(thm)],[f_504_1]) ).
fof(f_504_3,plain,
! [U_1694] : k1_subset_1(U_1694) = k3_subset_1(U_1694,k2_subset_1(U_1694)),
inference(definitional_conversion,[status(esa)],[f_504_2]) ).
cnf(f_504_4,plain,
k1_subset_1(U_1694) = k3_subset_1(U_1694,k2_subset_1(U_1694)),
inference(clausify,[status(thm)],[f_504_3]) ).
fof(f_505_1,plain,
! [A] : k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A)),
inference(fof_nnf,[status(thm)],[t22_subset_1]) ).
fof(f_505_2,plain,
! [U_1695] : k2_subset_1(U_1695) = k3_subset_1(U_1695,k1_subset_1(U_1695)),
inference(variable_rename,[status(thm)],[f_505_1]) ).
fof(f_505_3,plain,
! [U_1695] : k2_subset_1(U_1695) = k3_subset_1(U_1695,k1_subset_1(U_1695)),
inference(definitional_conversion,[status(esa)],[f_505_2]) ).
cnf(f_505_4,plain,
k2_subset_1(U_1695) = k3_subset_1(U_1695,k1_subset_1(U_1695)),
inference(clausify,[status(thm)],[f_505_3]) ).
fof(f_506_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t23_subset_1]) ).
fof(f_506_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_506_1]) ).
cnf(f_506_3,plain,
$true,
inference(clausify,[status(thm)],[f_506_2]) ).
fof(f_507_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_subset_1]) ).
fof(f_507_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_507_1]) ).
cnf(f_507_3,plain,
$true,
inference(clausify,[status(thm)],[f_507_2]) ).
fof(f_508_1,plain,
! [A,B] :
( k4_subset_1(A,B,k3_subset_1(A,B)) = k2_subset_1(A)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t25_subset_1]) ).
fof(f_508_2,plain,
! [U_1697,U_1696] :
( k4_subset_1(U_1697,U_1696,k3_subset_1(U_1697,U_1696)) = k2_subset_1(U_1697)
| ~ m1_subset_1(U_1696,k1_zfmisc_1(U_1697)) ),
inference(variable_rename,[status(thm)],[f_508_1]) ).
fof(f_508_3,plain,
! [U_1696,U_1697] :
( k4_subset_1(U_1697,U_1696,k3_subset_1(U_1697,U_1696)) = k2_subset_1(U_1697)
| ~ m1_subset_1(U_1696,k1_zfmisc_1(U_1697)) ),
inference(definitional_conversion,[status(esa)],[f_508_2]) ).
cnf(f_508_4,plain,
( k4_subset_1(U_1697,U_1696,k3_subset_1(U_1697,U_1696)) = k2_subset_1(U_1697)
| ~ m1_subset_1(U_1696,k1_zfmisc_1(U_1697)) ),
inference(clausify,[status(thm)],[f_508_3]) ).
fof(f_509_1,plain,
! [A,B] :
( r1_xboole_0(B,k3_subset_1(A,B))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t26_subset_1]) ).
fof(f_509_2,plain,
! [U_1699,U_1698] :
( r1_xboole_0(U_1698,k3_subset_1(U_1699,U_1698))
| ~ m1_subset_1(U_1698,k1_zfmisc_1(U_1699)) ),
inference(variable_rename,[status(thm)],[f_509_1]) ).
fof(f_509_3,plain,
! [U_1699,U_1698] :
( r1_xboole_0(U_1698,k3_subset_1(U_1699,U_1698))
| ~ m1_subset_1(U_1698,k1_zfmisc_1(U_1699)) ),
inference(definitional_conversion,[status(esa)],[f_509_2]) ).
cnf(f_509_4,plain,
( r1_xboole_0(U_1698,k3_subset_1(U_1699,U_1698))
| ~ m1_subset_1(U_1698,k1_zfmisc_1(U_1699)) ),
inference(clausify,[status(thm)],[f_509_3]) ).
fof(f_510_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_subset_1]) ).
fof(f_510_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_510_1]) ).
cnf(f_510_3,plain,
$true,
inference(clausify,[status(thm)],[f_510_2]) ).
fof(f_511_1,plain,
! [A,B] :
( k4_subset_1(A,B,k2_subset_1(A)) = k2_subset_1(A)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t28_subset_1]) ).
fof(f_511_2,plain,
! [U_1701,U_1700] :
( k4_subset_1(U_1701,U_1700,k2_subset_1(U_1701)) = k2_subset_1(U_1701)
| ~ m1_subset_1(U_1700,k1_zfmisc_1(U_1701)) ),
inference(variable_rename,[status(thm)],[f_511_1]) ).
fof(f_511_3,plain,
! [U_1700,U_1701] :
( k4_subset_1(U_1701,U_1700,k2_subset_1(U_1701)) = k2_subset_1(U_1701)
| ~ m1_subset_1(U_1700,k1_zfmisc_1(U_1701)) ),
inference(definitional_conversion,[status(esa)],[f_511_2]) ).
cnf(f_511_4,plain,
( k4_subset_1(U_1701,U_1700,k2_subset_1(U_1701)) = k2_subset_1(U_1701)
| ~ m1_subset_1(U_1700,k1_zfmisc_1(U_1701)) ),
inference(clausify,[status(thm)],[f_511_3]) ).
fof(f_512_1,plain,
! [A,B] :
( ! [C] :
( k3_subset_1(A,k4_subset_1(A,B,C)) = k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t29_subset_1]) ).
fof(f_512_2,plain,
! [U_1704,U_1703] :
( ! [U_1702] :
( k3_subset_1(U_1704,k4_subset_1(U_1704,U_1703,U_1702)) = k5_subset_1(U_1704,k3_subset_1(U_1704,U_1703),k3_subset_1(U_1704,U_1702))
| ~ m1_subset_1(U_1702,k1_zfmisc_1(U_1704)) )
| ~ m1_subset_1(U_1703,k1_zfmisc_1(U_1704)) ),
inference(variable_rename,[status(thm)],[f_512_1]) ).
fof(f_512_3,plain,
! [U_1704,U_1702,U_1703] :
( k3_subset_1(U_1704,k4_subset_1(U_1704,U_1703,U_1702)) = k5_subset_1(U_1704,k3_subset_1(U_1704,U_1703),k3_subset_1(U_1704,U_1702))
| ~ m1_subset_1(U_1702,k1_zfmisc_1(U_1704))
| ~ m1_subset_1(U_1703,k1_zfmisc_1(U_1704)) ),
inference(definitional_conversion,[status(esa)],[f_512_2]) ).
cnf(f_512_4,plain,
( k3_subset_1(U_1704,k4_subset_1(U_1704,U_1703,U_1702)) = k5_subset_1(U_1704,k3_subset_1(U_1704,U_1703),k3_subset_1(U_1704,U_1702))
| ~ m1_subset_1(U_1702,k1_zfmisc_1(U_1704))
| ~ m1_subset_1(U_1703,k1_zfmisc_1(U_1704)) ),
inference(clausify,[status(thm)],[f_512_3]) ).
fof(f_513_1,plain,
! [A,B] :
( ! [C] :
( k3_subset_1(A,k5_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t30_subset_1]) ).
fof(f_513_2,plain,
! [U_1707,U_1706] :
( ! [U_1705] :
( k3_subset_1(U_1707,k5_subset_1(U_1707,U_1706,U_1705)) = k4_subset_1(U_1707,k3_subset_1(U_1707,U_1706),k3_subset_1(U_1707,U_1705))
| ~ m1_subset_1(U_1705,k1_zfmisc_1(U_1707)) )
| ~ m1_subset_1(U_1706,k1_zfmisc_1(U_1707)) ),
inference(variable_rename,[status(thm)],[f_513_1]) ).
fof(f_513_3,plain,
! [U_1705,U_1706,U_1707] :
( k3_subset_1(U_1707,k5_subset_1(U_1707,U_1706,U_1705)) = k4_subset_1(U_1707,k3_subset_1(U_1707,U_1706),k3_subset_1(U_1707,U_1705))
| ~ m1_subset_1(U_1705,k1_zfmisc_1(U_1707))
| ~ m1_subset_1(U_1706,k1_zfmisc_1(U_1707)) ),
inference(definitional_conversion,[status(esa)],[f_513_2]) ).
cnf(f_513_4,plain,
( k3_subset_1(U_1707,k5_subset_1(U_1707,U_1706,U_1705)) = k4_subset_1(U_1707,k3_subset_1(U_1707,U_1706),k3_subset_1(U_1707,U_1705))
| ~ m1_subset_1(U_1705,k1_zfmisc_1(U_1707))
| ~ m1_subset_1(U_1706,k1_zfmisc_1(U_1707)) ),
inference(clausify,[status(thm)],[f_513_3]) ).
fof(f_514_1,plain,
! [A,B] :
( ! [C] :
( ( ( r1_tarski(B,C)
| ~ r1_tarski(k3_subset_1(A,C),k3_subset_1(A,B)) )
& ( r1_tarski(k3_subset_1(A,C),k3_subset_1(A,B))
| ~ r1_tarski(B,C) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t31_subset_1]) ).
fof(f_514_2,plain,
! [U_1710,U_1709] :
( ! [U_1708] :
( ( ( r1_tarski(U_1709,U_1708)
| ~ r1_tarski(k3_subset_1(U_1710,U_1708),k3_subset_1(U_1710,U_1709)) )
& ( r1_tarski(k3_subset_1(U_1710,U_1708),k3_subset_1(U_1710,U_1709))
| ~ r1_tarski(U_1709,U_1708) ) )
| ~ m1_subset_1(U_1708,k1_zfmisc_1(U_1710)) )
| ~ m1_subset_1(U_1709,k1_zfmisc_1(U_1710)) ),
inference(variable_rename,[status(thm)],[f_514_1]) ).
fof(f_514_3,plain,
( ! [U_1709,U_1708,U_1710] :
( r1_tarski(U_1709,U_1708)
| ~ r1_tarski(k3_subset_1(U_1710,U_1708),k3_subset_1(U_1710,U_1709))
| ~ sP166(U_1709,U_1708,U_1710) )
& ! [U_1709,U_1708,U_1710] :
( r1_tarski(k3_subset_1(U_1710,U_1708),k3_subset_1(U_1710,U_1709))
| ~ r1_tarski(U_1709,U_1708)
| ~ sP166(U_1709,U_1708,U_1710) )
& ! [U_1709,U_1708,U_1710] :
( sP166(U_1709,U_1708,U_1710)
| ~ m1_subset_1(U_1708,k1_zfmisc_1(U_1710))
| ~ m1_subset_1(U_1709,k1_zfmisc_1(U_1710)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP166])],[f_514_2]) ).
cnf(f_514_4,plain,
( sP166(U_1709,U_1708,U_1710)
| ~ m1_subset_1(U_1708,k1_zfmisc_1(U_1710))
| ~ m1_subset_1(U_1709,k1_zfmisc_1(U_1710)) ),
inference(clausify,[status(thm)],[f_514_3]) ).
cnf(f_514_5,plain,
( r1_tarski(k3_subset_1(U_1710,U_1708),k3_subset_1(U_1710,U_1709))
| ~ r1_tarski(U_1709,U_1708)
| ~ sP166(U_1709,U_1708,U_1710) ),
inference(clausify,[status(thm)],[f_514_3]) ).
cnf(f_514_6,plain,
( r1_tarski(U_1709,U_1708)
| ~ r1_tarski(k3_subset_1(U_1710,U_1708),k3_subset_1(U_1710,U_1709))
| ~ sP166(U_1709,U_1708,U_1710) ),
inference(clausify,[status(thm)],[f_514_3]) ).
fof(f_515_1,plain,
! [A,B] :
( ! [C] :
( k6_subset_1(A,B,C) = k5_subset_1(A,B,k3_subset_1(A,C))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t32_subset_1]) ).
fof(f_515_2,plain,
! [U_1713,U_1712] :
( ! [U_1711] :
( k6_subset_1(U_1713,U_1712,U_1711) = k5_subset_1(U_1713,U_1712,k3_subset_1(U_1713,U_1711))
| ~ m1_subset_1(U_1711,k1_zfmisc_1(U_1713)) )
| ~ m1_subset_1(U_1712,k1_zfmisc_1(U_1713)) ),
inference(variable_rename,[status(thm)],[f_515_1]) ).
fof(f_515_3,plain,
! [U_1713,U_1712,U_1711] :
( k6_subset_1(U_1713,U_1712,U_1711) = k5_subset_1(U_1713,U_1712,k3_subset_1(U_1713,U_1711))
| ~ m1_subset_1(U_1711,k1_zfmisc_1(U_1713))
| ~ m1_subset_1(U_1712,k1_zfmisc_1(U_1713)) ),
inference(definitional_conversion,[status(esa)],[f_515_2]) ).
cnf(f_515_4,plain,
( k6_subset_1(U_1713,U_1712,U_1711) = k5_subset_1(U_1713,U_1712,k3_subset_1(U_1713,U_1711))
| ~ m1_subset_1(U_1711,k1_zfmisc_1(U_1713))
| ~ m1_subset_1(U_1712,k1_zfmisc_1(U_1713)) ),
inference(clausify,[status(thm)],[f_515_3]) ).
fof(f_516_1,plain,
! [A,B] :
( ! [C] :
( k3_subset_1(A,k6_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),C)
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t33_subset_1]) ).
fof(f_516_2,plain,
! [U_1716,U_1715] :
( ! [U_1714] :
( k3_subset_1(U_1716,k6_subset_1(U_1716,U_1715,U_1714)) = k4_subset_1(U_1716,k3_subset_1(U_1716,U_1715),U_1714)
| ~ m1_subset_1(U_1714,k1_zfmisc_1(U_1716)) )
| ~ m1_subset_1(U_1715,k1_zfmisc_1(U_1716)) ),
inference(variable_rename,[status(thm)],[f_516_1]) ).
fof(f_516_3,plain,
! [U_1715,U_1714,U_1716] :
( k3_subset_1(U_1716,k6_subset_1(U_1716,U_1715,U_1714)) = k4_subset_1(U_1716,k3_subset_1(U_1716,U_1715),U_1714)
| ~ m1_subset_1(U_1714,k1_zfmisc_1(U_1716))
| ~ m1_subset_1(U_1715,k1_zfmisc_1(U_1716)) ),
inference(definitional_conversion,[status(esa)],[f_516_2]) ).
cnf(f_516_4,plain,
( k3_subset_1(U_1716,k6_subset_1(U_1716,U_1715,U_1714)) = k4_subset_1(U_1716,k3_subset_1(U_1716,U_1715),U_1714)
| ~ m1_subset_1(U_1714,k1_zfmisc_1(U_1716))
| ~ m1_subset_1(U_1715,k1_zfmisc_1(U_1716)) ),
inference(clausify,[status(thm)],[f_516_3]) ).
fof(f_517_1,plain,
! [A,B] :
( ! [C] :
( k3_subset_1(A,k7_subset_1(A,B,C)) = k4_subset_1(A,k5_subset_1(A,B,C),k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C)))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t34_subset_1]) ).
fof(f_517_2,plain,
! [U_1719,U_1718] :
( ! [U_1717] :
( k3_subset_1(U_1719,k7_subset_1(U_1719,U_1718,U_1717)) = k4_subset_1(U_1719,k5_subset_1(U_1719,U_1718,U_1717),k5_subset_1(U_1719,k3_subset_1(U_1719,U_1718),k3_subset_1(U_1719,U_1717)))
| ~ m1_subset_1(U_1717,k1_zfmisc_1(U_1719)) )
| ~ m1_subset_1(U_1718,k1_zfmisc_1(U_1719)) ),
inference(variable_rename,[status(thm)],[f_517_1]) ).
fof(f_517_3,plain,
! [U_1717,U_1718,U_1719] :
( k3_subset_1(U_1719,k7_subset_1(U_1719,U_1718,U_1717)) = k4_subset_1(U_1719,k5_subset_1(U_1719,U_1718,U_1717),k5_subset_1(U_1719,k3_subset_1(U_1719,U_1718),k3_subset_1(U_1719,U_1717)))
| ~ m1_subset_1(U_1717,k1_zfmisc_1(U_1719))
| ~ m1_subset_1(U_1718,k1_zfmisc_1(U_1719)) ),
inference(definitional_conversion,[status(esa)],[f_517_2]) ).
cnf(f_517_4,plain,
( k3_subset_1(U_1719,k7_subset_1(U_1719,U_1718,U_1717)) = k4_subset_1(U_1719,k5_subset_1(U_1719,U_1718,U_1717),k5_subset_1(U_1719,k3_subset_1(U_1719,U_1718),k3_subset_1(U_1719,U_1717)))
| ~ m1_subset_1(U_1717,k1_zfmisc_1(U_1719))
| ~ m1_subset_1(U_1718,k1_zfmisc_1(U_1719)) ),
inference(clausify,[status(thm)],[f_517_3]) ).
fof(f_518_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(C,k3_subset_1(A,B))
| ~ r1_tarski(B,k3_subset_1(A,C))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t35_subset_1]) ).
fof(f_518_2,plain,
! [U_1722,U_1721] :
( ! [U_1720] :
( r1_tarski(U_1720,k3_subset_1(U_1722,U_1721))
| ~ r1_tarski(U_1721,k3_subset_1(U_1722,U_1720))
| ~ m1_subset_1(U_1720,k1_zfmisc_1(U_1722)) )
| ~ m1_subset_1(U_1721,k1_zfmisc_1(U_1722)) ),
inference(variable_rename,[status(thm)],[f_518_1]) ).
fof(f_518_3,plain,
! [U_1722,U_1721,U_1720] :
( r1_tarski(U_1720,k3_subset_1(U_1722,U_1721))
| ~ r1_tarski(U_1721,k3_subset_1(U_1722,U_1720))
| ~ m1_subset_1(U_1720,k1_zfmisc_1(U_1722))
| ~ m1_subset_1(U_1721,k1_zfmisc_1(U_1722)) ),
inference(definitional_conversion,[status(esa)],[f_518_2]) ).
cnf(f_518_4,plain,
( r1_tarski(U_1720,k3_subset_1(U_1722,U_1721))
| ~ r1_tarski(U_1721,k3_subset_1(U_1722,U_1720))
| ~ m1_subset_1(U_1720,k1_zfmisc_1(U_1722))
| ~ m1_subset_1(U_1721,k1_zfmisc_1(U_1722)) ),
inference(clausify,[status(thm)],[f_518_3]) ).
fof(f_519_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k3_subset_1(A,C),B)
| ~ r1_tarski(k3_subset_1(A,B),C)
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t36_subset_1]) ).
fof(f_519_2,plain,
! [U_1725,U_1724] :
( ! [U_1723] :
( r1_tarski(k3_subset_1(U_1725,U_1723),U_1724)
| ~ r1_tarski(k3_subset_1(U_1725,U_1724),U_1723)
| ~ m1_subset_1(U_1723,k1_zfmisc_1(U_1725)) )
| ~ m1_subset_1(U_1724,k1_zfmisc_1(U_1725)) ),
inference(variable_rename,[status(thm)],[f_519_1]) ).
fof(f_519_3,plain,
! [U_1724,U_1725,U_1723] :
( r1_tarski(k3_subset_1(U_1725,U_1723),U_1724)
| ~ r1_tarski(k3_subset_1(U_1725,U_1724),U_1723)
| ~ m1_subset_1(U_1723,k1_zfmisc_1(U_1725))
| ~ m1_subset_1(U_1724,k1_zfmisc_1(U_1725)) ),
inference(definitional_conversion,[status(esa)],[f_519_2]) ).
cnf(f_519_4,plain,
( r1_tarski(k3_subset_1(U_1725,U_1723),U_1724)
| ~ r1_tarski(k3_subset_1(U_1725,U_1724),U_1723)
| ~ m1_subset_1(U_1723,k1_zfmisc_1(U_1725))
| ~ m1_subset_1(U_1724,k1_zfmisc_1(U_1725)) ),
inference(clausify,[status(thm)],[f_519_3]) ).
fof(f_520_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_subset_1]) ).
fof(f_520_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_520_1]) ).
cnf(f_520_3,plain,
$true,
inference(clausify,[status(thm)],[f_520_2]) ).
fof(f_521_1,plain,
! [A,B] :
( ( ( r1_tarski(B,k3_subset_1(A,B))
| B != k1_subset_1(A) )
& ( B = k1_subset_1(A)
| ~ r1_tarski(B,k3_subset_1(A,B)) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t38_subset_1]) ).
fof(f_521_2,plain,
! [U_1727,U_1726] :
( ( ( r1_tarski(U_1726,k3_subset_1(U_1727,U_1726))
| U_1726 != k1_subset_1(U_1727) )
& ( U_1726 = k1_subset_1(U_1727)
| ~ r1_tarski(U_1726,k3_subset_1(U_1727,U_1726)) ) )
| ~ m1_subset_1(U_1726,k1_zfmisc_1(U_1727)) ),
inference(variable_rename,[status(thm)],[f_521_1]) ).
fof(f_521_3,plain,
( ! [U_1727,U_1726] :
( r1_tarski(U_1726,k3_subset_1(U_1727,U_1726))
| U_1726 != k1_subset_1(U_1727)
| ~ sP167(U_1727,U_1726) )
& ! [U_1727,U_1726] :
( U_1726 = k1_subset_1(U_1727)
| ~ r1_tarski(U_1726,k3_subset_1(U_1727,U_1726))
| ~ sP167(U_1727,U_1726) )
& ! [U_1727,U_1726] :
( sP167(U_1727,U_1726)
| ~ m1_subset_1(U_1726,k1_zfmisc_1(U_1727)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP167])],[f_521_2]) ).
cnf(f_521_4,plain,
( sP167(U_1727,U_1726)
| ~ m1_subset_1(U_1726,k1_zfmisc_1(U_1727)) ),
inference(clausify,[status(thm)],[f_521_3]) ).
cnf(f_521_5,plain,
( U_1726 = k1_subset_1(U_1727)
| ~ r1_tarski(U_1726,k3_subset_1(U_1727,U_1726))
| ~ sP167(U_1727,U_1726) ),
inference(clausify,[status(thm)],[f_521_3]) ).
cnf(f_521_6,plain,
( r1_tarski(U_1726,k3_subset_1(U_1727,U_1726))
| U_1726 != k1_subset_1(U_1727)
| ~ sP167(U_1727,U_1726) ),
inference(clausify,[status(thm)],[f_521_3]) ).
fof(f_522_1,plain,
! [A,B] :
( ( ( r1_tarski(k3_subset_1(A,B),B)
| B != k2_subset_1(A) )
& ( B = k2_subset_1(A)
| ~ r1_tarski(k3_subset_1(A,B),B) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t39_subset_1]) ).
fof(f_522_2,plain,
! [U_1729,U_1728] :
( ( ( r1_tarski(k3_subset_1(U_1729,U_1728),U_1728)
| U_1728 != k2_subset_1(U_1729) )
& ( U_1728 = k2_subset_1(U_1729)
| ~ r1_tarski(k3_subset_1(U_1729,U_1728),U_1728) ) )
| ~ m1_subset_1(U_1728,k1_zfmisc_1(U_1729)) ),
inference(variable_rename,[status(thm)],[f_522_1]) ).
fof(f_522_3,plain,
( ! [U_1728,U_1729] :
( r1_tarski(k3_subset_1(U_1729,U_1728),U_1728)
| U_1728 != k2_subset_1(U_1729)
| ~ sP168(U_1728,U_1729) )
& ! [U_1728,U_1729] :
( U_1728 = k2_subset_1(U_1729)
| ~ r1_tarski(k3_subset_1(U_1729,U_1728),U_1728)
| ~ sP168(U_1728,U_1729) )
& ! [U_1728,U_1729] :
( sP168(U_1728,U_1729)
| ~ m1_subset_1(U_1728,k1_zfmisc_1(U_1729)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP168])],[f_522_2]) ).
cnf(f_522_4,plain,
( sP168(U_1728,U_1729)
| ~ m1_subset_1(U_1728,k1_zfmisc_1(U_1729)) ),
inference(clausify,[status(thm)],[f_522_3]) ).
cnf(f_522_5,plain,
( U_1728 = k2_subset_1(U_1729)
| ~ r1_tarski(k3_subset_1(U_1729,U_1728),U_1728)
| ~ sP168(U_1728,U_1729) ),
inference(clausify,[status(thm)],[f_522_3]) ).
cnf(f_522_6,plain,
( r1_tarski(k3_subset_1(U_1729,U_1728),U_1728)
| U_1728 != k2_subset_1(U_1729)
| ~ sP168(U_1728,U_1729) ),
inference(clausify,[status(thm)],[f_522_3]) ).
fof(f_523_1,plain,
! [A,B,C] :
( B = k1_xboole_0
| ~ r1_tarski(B,k3_subset_1(A,C))
| ~ r1_tarski(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t40_subset_1]) ).
fof(f_523_2,plain,
! [U_1732,U_1731,U_1730] :
( U_1731 = k1_xboole_0
| ~ r1_tarski(U_1731,k3_subset_1(U_1732,U_1730))
| ~ r1_tarski(U_1731,U_1730)
| ~ m1_subset_1(U_1730,k1_zfmisc_1(U_1732)) ),
inference(variable_rename,[status(thm)],[f_523_1]) ).
fof(f_523_3,plain,
! [U_1732,U_1731,U_1730] :
( U_1731 = k1_xboole_0
| ~ r1_tarski(U_1731,k3_subset_1(U_1732,U_1730))
| ~ r1_tarski(U_1731,U_1730)
| ~ m1_subset_1(U_1730,k1_zfmisc_1(U_1732)) ),
inference(definitional_conversion,[status(esa)],[f_523_2]) ).
cnf(f_523_4,plain,
( U_1731 = k1_xboole_0
| ~ r1_tarski(U_1731,k3_subset_1(U_1732,U_1730))
| ~ r1_tarski(U_1731,U_1730)
| ~ m1_subset_1(U_1730,k1_zfmisc_1(U_1732)) ),
inference(clausify,[status(thm)],[f_523_3]) ).
fof(f_524_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k3_subset_1(A,k4_subset_1(A,B,C)),k3_subset_1(A,B))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t41_subset_1]) ).
fof(f_524_2,plain,
! [U_1735,U_1734] :
( ! [U_1733] :
( r1_tarski(k3_subset_1(U_1735,k4_subset_1(U_1735,U_1734,U_1733)),k3_subset_1(U_1735,U_1734))
| ~ m1_subset_1(U_1733,k1_zfmisc_1(U_1735)) )
| ~ m1_subset_1(U_1734,k1_zfmisc_1(U_1735)) ),
inference(variable_rename,[status(thm)],[f_524_1]) ).
fof(f_524_3,plain,
! [U_1734,U_1735,U_1733] :
( r1_tarski(k3_subset_1(U_1735,k4_subset_1(U_1735,U_1734,U_1733)),k3_subset_1(U_1735,U_1734))
| ~ m1_subset_1(U_1733,k1_zfmisc_1(U_1735))
| ~ m1_subset_1(U_1734,k1_zfmisc_1(U_1735)) ),
inference(definitional_conversion,[status(esa)],[f_524_2]) ).
cnf(f_524_4,plain,
( r1_tarski(k3_subset_1(U_1735,k4_subset_1(U_1735,U_1734,U_1733)),k3_subset_1(U_1735,U_1734))
| ~ m1_subset_1(U_1733,k1_zfmisc_1(U_1735))
| ~ m1_subset_1(U_1734,k1_zfmisc_1(U_1735)) ),
inference(clausify,[status(thm)],[f_524_3]) ).
fof(f_525_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k3_subset_1(A,B),k3_subset_1(A,k5_subset_1(A,B,C)))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t42_subset_1]) ).
fof(f_525_2,plain,
! [U_1738,U_1737] :
( ! [U_1736] :
( r1_tarski(k3_subset_1(U_1738,U_1737),k3_subset_1(U_1738,k5_subset_1(U_1738,U_1737,U_1736)))
| ~ m1_subset_1(U_1736,k1_zfmisc_1(U_1738)) )
| ~ m1_subset_1(U_1737,k1_zfmisc_1(U_1738)) ),
inference(variable_rename,[status(thm)],[f_525_1]) ).
fof(f_525_3,plain,
! [U_1737,U_1736,U_1738] :
( r1_tarski(k3_subset_1(U_1738,U_1737),k3_subset_1(U_1738,k5_subset_1(U_1738,U_1737,U_1736)))
| ~ m1_subset_1(U_1736,k1_zfmisc_1(U_1738))
| ~ m1_subset_1(U_1737,k1_zfmisc_1(U_1738)) ),
inference(definitional_conversion,[status(esa)],[f_525_2]) ).
cnf(f_525_4,plain,
( r1_tarski(k3_subset_1(U_1738,U_1737),k3_subset_1(U_1738,k5_subset_1(U_1738,U_1737,U_1736)))
| ~ m1_subset_1(U_1736,k1_zfmisc_1(U_1738))
| ~ m1_subset_1(U_1737,k1_zfmisc_1(U_1738)) ),
inference(clausify,[status(thm)],[f_525_3]) ).
fof(f_526_1,plain,
! [A,B] :
( ! [C] :
( ( ( r1_xboole_0(B,C)
| ~ r1_tarski(B,k3_subset_1(A,C)) )
& ( r1_tarski(B,k3_subset_1(A,C))
| ~ r1_xboole_0(B,C) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t43_subset_1]) ).
fof(f_526_2,plain,
! [U_1741,U_1740] :
( ! [U_1739] :
( ( ( r1_xboole_0(U_1740,U_1739)
| ~ r1_tarski(U_1740,k3_subset_1(U_1741,U_1739)) )
& ( r1_tarski(U_1740,k3_subset_1(U_1741,U_1739))
| ~ r1_xboole_0(U_1740,U_1739) ) )
| ~ m1_subset_1(U_1739,k1_zfmisc_1(U_1741)) )
| ~ m1_subset_1(U_1740,k1_zfmisc_1(U_1741)) ),
inference(variable_rename,[status(thm)],[f_526_1]) ).
fof(f_526_3,plain,
( ! [U_1741,U_1740,U_1739] :
( r1_xboole_0(U_1740,U_1739)
| ~ r1_tarski(U_1740,k3_subset_1(U_1741,U_1739))
| ~ sP169(U_1741,U_1740,U_1739) )
& ! [U_1741,U_1740,U_1739] :
( r1_tarski(U_1740,k3_subset_1(U_1741,U_1739))
| ~ r1_xboole_0(U_1740,U_1739)
| ~ sP169(U_1741,U_1740,U_1739) )
& ! [U_1741,U_1740,U_1739] :
( sP169(U_1741,U_1740,U_1739)
| ~ m1_subset_1(U_1739,k1_zfmisc_1(U_1741))
| ~ m1_subset_1(U_1740,k1_zfmisc_1(U_1741)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP169])],[f_526_2]) ).
cnf(f_526_4,plain,
( sP169(U_1741,U_1740,U_1739)
| ~ m1_subset_1(U_1739,k1_zfmisc_1(U_1741))
| ~ m1_subset_1(U_1740,k1_zfmisc_1(U_1741)) ),
inference(clausify,[status(thm)],[f_526_3]) ).
cnf(f_526_5,plain,
( r1_tarski(U_1740,k3_subset_1(U_1741,U_1739))
| ~ r1_xboole_0(U_1740,U_1739)
| ~ sP169(U_1741,U_1740,U_1739) ),
inference(clausify,[status(thm)],[f_526_3]) ).
cnf(f_526_6,plain,
( r1_xboole_0(U_1740,U_1739)
| ~ r1_tarski(U_1740,k3_subset_1(U_1741,U_1739))
| ~ sP169(U_1741,U_1740,U_1739) ),
inference(clausify,[status(thm)],[f_526_3]) ).
fof(f_527_1,plain,
! [A,B] :
( ! [C] :
( ( ( r1_xboole_0(B,k3_subset_1(A,C))
| ~ r1_tarski(B,C) )
& ( r1_tarski(B,C)
| ~ r1_xboole_0(B,k3_subset_1(A,C)) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t44_subset_1]) ).
fof(f_527_2,plain,
! [U_1744,U_1743] :
( ! [U_1742] :
( ( ( r1_xboole_0(U_1743,k3_subset_1(U_1744,U_1742))
| ~ r1_tarski(U_1743,U_1742) )
& ( r1_tarski(U_1743,U_1742)
| ~ r1_xboole_0(U_1743,k3_subset_1(U_1744,U_1742)) ) )
| ~ m1_subset_1(U_1742,k1_zfmisc_1(U_1744)) )
| ~ m1_subset_1(U_1743,k1_zfmisc_1(U_1744)) ),
inference(variable_rename,[status(thm)],[f_527_1]) ).
fof(f_527_3,plain,
( ! [U_1743,U_1742,U_1744] :
( r1_xboole_0(U_1743,k3_subset_1(U_1744,U_1742))
| ~ r1_tarski(U_1743,U_1742)
| ~ sP170(U_1743,U_1742,U_1744) )
& ! [U_1743,U_1742,U_1744] :
( r1_tarski(U_1743,U_1742)
| ~ r1_xboole_0(U_1743,k3_subset_1(U_1744,U_1742))
| ~ sP170(U_1743,U_1742,U_1744) )
& ! [U_1743,U_1742,U_1744] :
( sP170(U_1743,U_1742,U_1744)
| ~ m1_subset_1(U_1742,k1_zfmisc_1(U_1744))
| ~ m1_subset_1(U_1743,k1_zfmisc_1(U_1744)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP170])],[f_527_2]) ).
cnf(f_527_4,plain,
( sP170(U_1743,U_1742,U_1744)
| ~ m1_subset_1(U_1742,k1_zfmisc_1(U_1744))
| ~ m1_subset_1(U_1743,k1_zfmisc_1(U_1744)) ),
inference(clausify,[status(thm)],[f_527_3]) ).
cnf(f_527_5,plain,
( r1_tarski(U_1743,U_1742)
| ~ r1_xboole_0(U_1743,k3_subset_1(U_1744,U_1742))
| ~ sP170(U_1743,U_1742,U_1744) ),
inference(clausify,[status(thm)],[f_527_3]) ).
cnf(f_527_6,plain,
( r1_xboole_0(U_1743,k3_subset_1(U_1744,U_1742))
| ~ r1_tarski(U_1743,U_1742)
| ~ sP170(U_1743,U_1742,U_1744) ),
inference(clausify,[status(thm)],[f_527_3]) ).
fof(f_528_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t45_subset_1]) ).
fof(f_528_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_528_1]) ).
cnf(f_528_3,plain,
$true,
inference(clausify,[status(thm)],[f_528_2]) ).
fof(f_529_1,plain,
! [A,B] :
( ! [C] :
( B = k3_subset_1(A,C)
| ~ r1_xboole_0(k3_subset_1(A,B),k3_subset_1(A,C))
| ~ r1_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t46_subset_1]) ).
fof(f_529_2,plain,
! [U_1747,U_1746] :
( ! [U_1745] :
( U_1746 = k3_subset_1(U_1747,U_1745)
| ~ r1_xboole_0(k3_subset_1(U_1747,U_1746),k3_subset_1(U_1747,U_1745))
| ~ r1_xboole_0(U_1746,U_1745)
| ~ m1_subset_1(U_1745,k1_zfmisc_1(U_1747)) )
| ~ m1_subset_1(U_1746,k1_zfmisc_1(U_1747)) ),
inference(variable_rename,[status(thm)],[f_529_1]) ).
fof(f_529_3,plain,
! [U_1745,U_1746,U_1747] :
( U_1746 = k3_subset_1(U_1747,U_1745)
| ~ r1_xboole_0(k3_subset_1(U_1747,U_1746),k3_subset_1(U_1747,U_1745))
| ~ r1_xboole_0(U_1746,U_1745)
| ~ m1_subset_1(U_1745,k1_zfmisc_1(U_1747))
| ~ m1_subset_1(U_1746,k1_zfmisc_1(U_1747)) ),
inference(definitional_conversion,[status(esa)],[f_529_2]) ).
cnf(f_529_4,plain,
( U_1746 = k3_subset_1(U_1747,U_1745)
| ~ r1_xboole_0(k3_subset_1(U_1747,U_1746),k3_subset_1(U_1747,U_1745))
| ~ r1_xboole_0(U_1746,U_1745)
| ~ m1_subset_1(U_1745,k1_zfmisc_1(U_1747))
| ~ m1_subset_1(U_1746,k1_zfmisc_1(U_1747)) ),
inference(clausify,[status(thm)],[f_529_3]) ).
fof(f_530_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( r1_tarski(B,k3_subset_1(A,D))
| ~ r1_xboole_0(D,C)
| ~ r1_tarski(B,C)
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t47_subset_1]) ).
fof(f_530_2,plain,
! [U_1751,U_1750] :
( ! [U_1749] :
( ! [U_1748] :
( r1_tarski(U_1750,k3_subset_1(U_1751,U_1748))
| ~ r1_xboole_0(U_1748,U_1749)
| ~ r1_tarski(U_1750,U_1749)
| ~ m1_subset_1(U_1748,k1_zfmisc_1(U_1751)) )
| ~ m1_subset_1(U_1749,k1_zfmisc_1(U_1751)) )
| ~ m1_subset_1(U_1750,k1_zfmisc_1(U_1751)) ),
inference(variable_rename,[status(thm)],[f_530_1]) ).
fof(f_530_3,plain,
! [U_1748,U_1751,U_1749,U_1750] :
( r1_tarski(U_1750,k3_subset_1(U_1751,U_1748))
| ~ r1_xboole_0(U_1748,U_1749)
| ~ r1_tarski(U_1750,U_1749)
| ~ m1_subset_1(U_1748,k1_zfmisc_1(U_1751))
| ~ m1_subset_1(U_1749,k1_zfmisc_1(U_1751))
| ~ m1_subset_1(U_1750,k1_zfmisc_1(U_1751)) ),
inference(definitional_conversion,[status(esa)],[f_530_2]) ).
cnf(f_530_4,plain,
( r1_tarski(U_1750,k3_subset_1(U_1751,U_1748))
| ~ r1_xboole_0(U_1748,U_1749)
| ~ r1_tarski(U_1750,U_1749)
| ~ m1_subset_1(U_1748,k1_zfmisc_1(U_1751))
| ~ m1_subset_1(U_1749,k1_zfmisc_1(U_1751))
| ~ m1_subset_1(U_1750,k1_zfmisc_1(U_1751)) ),
inference(clausify,[status(thm)],[f_530_3]) ).
fof(f_531_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(B,C)
| ? [D] :
( ~ r2_hidden(D,C)
& m1_subset_1(D,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t48_subset_1]) ).
fof(f_531_2,plain,
! [U_1755,U_1754] :
( ! [U_1753] :
( r1_tarski(U_1754,U_1753)
| ? [U_1752] :
( ~ r2_hidden(U_1752,U_1753)
& m1_subset_1(U_1752,U_1754) )
| ~ m1_subset_1(U_1753,k1_zfmisc_1(U_1755)) )
| ~ m1_subset_1(U_1754,k1_zfmisc_1(U_1755)) ),
inference(variable_rename,[status(thm)],[f_531_1]) ).
fof(f_531_3,plain,
! [U_1755,U_1754] :
( ! [U_1753] :
( r1_tarski(U_1754,U_1753)
| ( ~ r2_hidden(sK113(U_1755,U_1754,U_1753),U_1753)
& m1_subset_1(sK113(U_1755,U_1754,U_1753),U_1754) )
| ~ m1_subset_1(U_1753,k1_zfmisc_1(U_1755)) )
| ~ m1_subset_1(U_1754,k1_zfmisc_1(U_1755)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113]),skolemize(U_1752,sK113(U_1755,U_1754,U_1753))],[f_531_2]) ).
fof(f_531_4,plain,
( ! [U_1754,U_1753,U_1755] :
( ~ r2_hidden(sK113(U_1755,U_1754,U_1753),U_1753)
| ~ sP171(U_1754,U_1753,U_1755) )
& ! [U_1754,U_1753,U_1755] :
( m1_subset_1(sK113(U_1755,U_1754,U_1753),U_1754)
| ~ sP171(U_1754,U_1753,U_1755) )
& ! [U_1754,U_1753,U_1755] :
( r1_tarski(U_1754,U_1753)
| sP171(U_1754,U_1753,U_1755)
| ~ m1_subset_1(U_1753,k1_zfmisc_1(U_1755))
| ~ m1_subset_1(U_1754,k1_zfmisc_1(U_1755)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP171])],[f_531_3]) ).
cnf(f_531_5,plain,
( r1_tarski(U_1754,U_1753)
| sP171(U_1754,U_1753,U_1755)
| ~ m1_subset_1(U_1753,k1_zfmisc_1(U_1755))
| ~ m1_subset_1(U_1754,k1_zfmisc_1(U_1755)) ),
inference(clausify,[status(thm)],[f_531_4]) ).
cnf(f_531_6,plain,
( m1_subset_1(sK113(U_1755,U_1754,U_1753),U_1754)
| ~ sP171(U_1754,U_1753,U_1755) ),
inference(clausify,[status(thm)],[f_531_4]) ).
cnf(f_531_7,plain,
( ~ r2_hidden(sK113(U_1755,U_1754,U_1753),U_1753)
| ~ sP171(U_1754,U_1753,U_1755) ),
inference(clausify,[status(thm)],[f_531_4]) ).
fof(f_532_1,plain,
! [A,B] :
( A = B
| ? [C] :
( ~ r2_hidden(C,B)
& m1_subset_1(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t49_subset_1]) ).
fof(f_532_2,plain,
! [U_1758,U_1757] :
( U_1758 = U_1757
| ? [U_1756] :
( ~ r2_hidden(U_1756,U_1757)
& m1_subset_1(U_1756,U_1758) )
| ~ m1_subset_1(U_1757,k1_zfmisc_1(U_1758)) ),
inference(variable_rename,[status(thm)],[f_532_1]) ).
fof(f_532_3,plain,
! [U_1758,U_1757] :
( U_1758 = U_1757
| ( ~ r2_hidden(sK114(U_1758,U_1757),U_1757)
& m1_subset_1(sK114(U_1758,U_1757),U_1758) )
| ~ m1_subset_1(U_1757,k1_zfmisc_1(U_1758)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(U_1756,sK114(U_1758,U_1757))],[f_532_2]) ).
fof(f_532_4,plain,
( ! [U_1757,U_1758] :
( ~ r2_hidden(sK114(U_1758,U_1757),U_1757)
| ~ sP172(U_1757,U_1758) )
& ! [U_1757,U_1758] :
( m1_subset_1(sK114(U_1758,U_1757),U_1758)
| ~ sP172(U_1757,U_1758) )
& ! [U_1757,U_1758] :
( U_1758 = U_1757
| sP172(U_1757,U_1758)
| ~ m1_subset_1(U_1757,k1_zfmisc_1(U_1758)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP172])],[f_532_3]) ).
cnf(f_532_5,plain,
( U_1758 = U_1757
| sP172(U_1757,U_1758)
| ~ m1_subset_1(U_1757,k1_zfmisc_1(U_1758)) ),
inference(clausify,[status(thm)],[f_532_4]) ).
cnf(f_532_6,plain,
( m1_subset_1(sK114(U_1758,U_1757),U_1758)
| ~ sP172(U_1757,U_1758) ),
inference(clausify,[status(thm)],[f_532_4]) ).
cnf(f_532_7,plain,
( ~ r2_hidden(sK114(U_1758,U_1757),U_1757)
| ~ sP172(U_1757,U_1758) ),
inference(clausify,[status(thm)],[f_532_4]) ).
fof(f_533_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(C,k3_subset_1(A,B))
| r2_hidden(C,B)
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| A = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t50_subset_1]) ).
fof(f_533_2,plain,
! [U_1761] :
( ! [U_1760] :
( ! [U_1759] :
( r2_hidden(U_1759,k3_subset_1(U_1761,U_1760))
| r2_hidden(U_1759,U_1760)
| ~ m1_subset_1(U_1759,U_1761) )
| ~ m1_subset_1(U_1760,k1_zfmisc_1(U_1761)) )
| U_1761 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_533_1]) ).
fof(f_533_3,plain,
! [U_1761,U_1760,U_1759] :
( r2_hidden(U_1759,k3_subset_1(U_1761,U_1760))
| r2_hidden(U_1759,U_1760)
| ~ m1_subset_1(U_1759,U_1761)
| ~ m1_subset_1(U_1760,k1_zfmisc_1(U_1761))
| U_1761 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_533_2]) ).
cnf(f_533_4,plain,
( r2_hidden(U_1759,k3_subset_1(U_1761,U_1760))
| r2_hidden(U_1759,U_1760)
| ~ m1_subset_1(U_1759,U_1761)
| ~ m1_subset_1(U_1760,k1_zfmisc_1(U_1761))
| U_1761 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_533_3]) ).
fof(f_534_1,plain,
! [A,B] :
( ! [C] :
( B = k3_subset_1(A,C)
| ? [D] :
( ( ( ~ r2_hidden(D,B)
& ~ r2_hidden(D,C) )
| ( r2_hidden(D,C)
& r2_hidden(D,B) ) )
& m1_subset_1(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t51_subset_1]) ).
fof(f_534_2,plain,
! [U_1765,U_1764] :
( ! [U_1763] :
( U_1764 = k3_subset_1(U_1765,U_1763)
| ? [U_1762] :
( ( ( ~ r2_hidden(U_1762,U_1764)
& ~ r2_hidden(U_1762,U_1763) )
| ( r2_hidden(U_1762,U_1763)
& r2_hidden(U_1762,U_1764) ) )
& m1_subset_1(U_1762,U_1765) )
| ~ m1_subset_1(U_1763,k1_zfmisc_1(U_1765)) )
| ~ m1_subset_1(U_1764,k1_zfmisc_1(U_1765)) ),
inference(variable_rename,[status(thm)],[f_534_1]) ).
fof(f_534_3,plain,
! [U_1765,U_1764] :
( ! [U_1763] :
( U_1764 = k3_subset_1(U_1765,U_1763)
| ( ( ( ~ r2_hidden(sK115(U_1765,U_1764,U_1763),U_1764)
& ~ r2_hidden(sK115(U_1765,U_1764,U_1763),U_1763) )
| ( r2_hidden(sK115(U_1765,U_1764,U_1763),U_1763)
& r2_hidden(sK115(U_1765,U_1764,U_1763),U_1764) ) )
& m1_subset_1(sK115(U_1765,U_1764,U_1763),U_1765) )
| ~ m1_subset_1(U_1763,k1_zfmisc_1(U_1765)) )
| ~ m1_subset_1(U_1764,k1_zfmisc_1(U_1765)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(U_1762,sK115(U_1765,U_1764,U_1763))],[f_534_2]) ).
fof(f_534_4,plain,
( ! [U_1764,U_1765,U_1763] :
( ~ r2_hidden(sK115(U_1765,U_1764,U_1763),U_1764)
| ~ sP174(U_1764,U_1765,U_1763) )
& ! [U_1764,U_1765,U_1763] :
( ~ r2_hidden(sK115(U_1765,U_1764,U_1763),U_1763)
| ~ sP174(U_1764,U_1765,U_1763) )
& ! [U_1764,U_1765,U_1763] :
( r2_hidden(sK115(U_1765,U_1764,U_1763),U_1763)
| ~ sP173(U_1764,U_1765,U_1763) )
& ! [U_1764,U_1765,U_1763] :
( r2_hidden(sK115(U_1765,U_1764,U_1763),U_1764)
| ~ sP173(U_1764,U_1765,U_1763) )
& ! [U_1764,U_1765,U_1763] :
( sP174(U_1764,U_1765,U_1763)
| sP173(U_1764,U_1765,U_1763)
| ~ sP175(U_1764,U_1765,U_1763) )
& ! [U_1764,U_1765,U_1763] :
( m1_subset_1(sK115(U_1765,U_1764,U_1763),U_1765)
| ~ sP175(U_1764,U_1765,U_1763) )
& ! [U_1764,U_1765,U_1763] :
( U_1764 = k3_subset_1(U_1765,U_1763)
| sP175(U_1764,U_1765,U_1763)
| ~ m1_subset_1(U_1763,k1_zfmisc_1(U_1765))
| ~ m1_subset_1(U_1764,k1_zfmisc_1(U_1765)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP173,sP174,sP175])],[f_534_3]) ).
cnf(f_534_5,plain,
( U_1764 = k3_subset_1(U_1765,U_1763)
| sP175(U_1764,U_1765,U_1763)
| ~ m1_subset_1(U_1763,k1_zfmisc_1(U_1765))
| ~ m1_subset_1(U_1764,k1_zfmisc_1(U_1765)) ),
inference(clausify,[status(thm)],[f_534_4]) ).
cnf(f_534_6,plain,
( m1_subset_1(sK115(U_1765,U_1764,U_1763),U_1765)
| ~ sP175(U_1764,U_1765,U_1763) ),
inference(clausify,[status(thm)],[f_534_4]) ).
cnf(f_534_7,plain,
( sP174(U_1764,U_1765,U_1763)
| sP173(U_1764,U_1765,U_1763)
| ~ sP175(U_1764,U_1765,U_1763) ),
inference(clausify,[status(thm)],[f_534_4]) ).
cnf(f_534_8,plain,
( r2_hidden(sK115(U_1765,U_1764,U_1763),U_1764)
| ~ sP173(U_1764,U_1765,U_1763) ),
inference(clausify,[status(thm)],[f_534_4]) ).
cnf(f_534_9,plain,
( r2_hidden(sK115(U_1765,U_1764,U_1763),U_1763)
| ~ sP173(U_1764,U_1765,U_1763) ),
inference(clausify,[status(thm)],[f_534_4]) ).
cnf(f_534_10,plain,
( ~ r2_hidden(sK115(U_1765,U_1764,U_1763),U_1763)
| ~ sP174(U_1764,U_1765,U_1763) ),
inference(clausify,[status(thm)],[f_534_4]) ).
cnf(f_534_11,plain,
( ~ r2_hidden(sK115(U_1765,U_1764,U_1763),U_1764)
| ~ sP174(U_1764,U_1765,U_1763) ),
inference(clausify,[status(thm)],[f_534_4]) ).
fof(f_535_1,plain,
! [A,B] :
( ! [C] :
( B = k3_subset_1(A,C)
| ? [D] :
( ( ( r2_hidden(D,B)
& r2_hidden(D,C) )
| ( ~ r2_hidden(D,C)
& ~ r2_hidden(D,B) ) )
& m1_subset_1(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t52_subset_1]) ).
fof(f_535_2,plain,
! [U_1769,U_1768] :
( ! [U_1767] :
( U_1768 = k3_subset_1(U_1769,U_1767)
| ? [U_1766] :
( ( ( r2_hidden(U_1766,U_1768)
& r2_hidden(U_1766,U_1767) )
| ( ~ r2_hidden(U_1766,U_1767)
& ~ r2_hidden(U_1766,U_1768) ) )
& m1_subset_1(U_1766,U_1769) )
| ~ m1_subset_1(U_1767,k1_zfmisc_1(U_1769)) )
| ~ m1_subset_1(U_1768,k1_zfmisc_1(U_1769)) ),
inference(variable_rename,[status(thm)],[f_535_1]) ).
fof(f_535_3,plain,
! [U_1769,U_1768] :
( ! [U_1767] :
( U_1768 = k3_subset_1(U_1769,U_1767)
| ( ( ( r2_hidden(sK116(U_1769,U_1768,U_1767),U_1768)
& r2_hidden(sK116(U_1769,U_1768,U_1767),U_1767) )
| ( ~ r2_hidden(sK116(U_1769,U_1768,U_1767),U_1767)
& ~ r2_hidden(sK116(U_1769,U_1768,U_1767),U_1768) ) )
& m1_subset_1(sK116(U_1769,U_1768,U_1767),U_1769) )
| ~ m1_subset_1(U_1767,k1_zfmisc_1(U_1769)) )
| ~ m1_subset_1(U_1768,k1_zfmisc_1(U_1769)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(U_1766,sK116(U_1769,U_1768,U_1767))],[f_535_2]) ).
fof(f_535_4,plain,
( ! [U_1768,U_1769,U_1767] :
( r2_hidden(sK116(U_1769,U_1768,U_1767),U_1768)
| ~ sP177(U_1768,U_1769,U_1767) )
& ! [U_1768,U_1769,U_1767] :
( r2_hidden(sK116(U_1769,U_1768,U_1767),U_1767)
| ~ sP177(U_1768,U_1769,U_1767) )
& ! [U_1768,U_1769,U_1767] :
( ~ r2_hidden(sK116(U_1769,U_1768,U_1767),U_1767)
| ~ sP176(U_1768,U_1769,U_1767) )
& ! [U_1768,U_1769,U_1767] :
( ~ r2_hidden(sK116(U_1769,U_1768,U_1767),U_1768)
| ~ sP176(U_1768,U_1769,U_1767) )
& ! [U_1768,U_1769,U_1767] :
( sP177(U_1768,U_1769,U_1767)
| sP176(U_1768,U_1769,U_1767)
| ~ sP178(U_1768,U_1769,U_1767) )
& ! [U_1768,U_1769,U_1767] :
( m1_subset_1(sK116(U_1769,U_1768,U_1767),U_1769)
| ~ sP178(U_1768,U_1769,U_1767) )
& ! [U_1768,U_1769,U_1767] :
( U_1768 = k3_subset_1(U_1769,U_1767)
| sP178(U_1768,U_1769,U_1767)
| ~ m1_subset_1(U_1767,k1_zfmisc_1(U_1769))
| ~ m1_subset_1(U_1768,k1_zfmisc_1(U_1769)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP176,sP177,sP178])],[f_535_3]) ).
cnf(f_535_5,plain,
( U_1768 = k3_subset_1(U_1769,U_1767)
| sP178(U_1768,U_1769,U_1767)
| ~ m1_subset_1(U_1767,k1_zfmisc_1(U_1769))
| ~ m1_subset_1(U_1768,k1_zfmisc_1(U_1769)) ),
inference(clausify,[status(thm)],[f_535_4]) ).
cnf(f_535_6,plain,
( m1_subset_1(sK116(U_1769,U_1768,U_1767),U_1769)
| ~ sP178(U_1768,U_1769,U_1767) ),
inference(clausify,[status(thm)],[f_535_4]) ).
cnf(f_535_7,plain,
( sP177(U_1768,U_1769,U_1767)
| sP176(U_1768,U_1769,U_1767)
| ~ sP178(U_1768,U_1769,U_1767) ),
inference(clausify,[status(thm)],[f_535_4]) ).
cnf(f_535_8,plain,
( ~ r2_hidden(sK116(U_1769,U_1768,U_1767),U_1768)
| ~ sP176(U_1768,U_1769,U_1767) ),
inference(clausify,[status(thm)],[f_535_4]) ).
cnf(f_535_9,plain,
( ~ r2_hidden(sK116(U_1769,U_1768,U_1767),U_1767)
| ~ sP176(U_1768,U_1769,U_1767) ),
inference(clausify,[status(thm)],[f_535_4]) ).
cnf(f_535_10,plain,
( r2_hidden(sK116(U_1769,U_1768,U_1767),U_1767)
| ~ sP177(U_1768,U_1769,U_1767) ),
inference(clausify,[status(thm)],[f_535_4]) ).
cnf(f_535_11,plain,
( r2_hidden(sK116(U_1769,U_1768,U_1767),U_1768)
| ~ sP177(U_1768,U_1769,U_1767) ),
inference(clausify,[status(thm)],[f_535_4]) ).
fof(f_536_1,plain,
! [A,B] :
( ! [C] :
( B = k3_subset_1(A,C)
| ? [D] :
( ( r2_hidden(D,B)
| ~ r2_hidden(D,C) )
& ( r2_hidden(D,C)
| ~ r2_hidden(D,B) )
& m1_subset_1(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t53_subset_1]) ).
fof(f_536_2,plain,
! [U_1773,U_1772] :
( ! [U_1771] :
( U_1772 = k3_subset_1(U_1773,U_1771)
| ? [U_1770] :
( ( r2_hidden(U_1770,U_1772)
| ~ r2_hidden(U_1770,U_1771) )
& ( r2_hidden(U_1770,U_1771)
| ~ r2_hidden(U_1770,U_1772) )
& m1_subset_1(U_1770,U_1773) )
| ~ m1_subset_1(U_1771,k1_zfmisc_1(U_1773)) )
| ~ m1_subset_1(U_1772,k1_zfmisc_1(U_1773)) ),
inference(variable_rename,[status(thm)],[f_536_1]) ).
fof(f_536_3,plain,
! [U_1773,U_1772] :
( ! [U_1771] :
( U_1772 = k3_subset_1(U_1773,U_1771)
| ( ( r2_hidden(sK117(U_1773,U_1772,U_1771),U_1772)
| ~ r2_hidden(sK117(U_1773,U_1772,U_1771),U_1771) )
& ( r2_hidden(sK117(U_1773,U_1772,U_1771),U_1771)
| ~ r2_hidden(sK117(U_1773,U_1772,U_1771),U_1772) )
& m1_subset_1(sK117(U_1773,U_1772,U_1771),U_1773) )
| ~ m1_subset_1(U_1771,k1_zfmisc_1(U_1773)) )
| ~ m1_subset_1(U_1772,k1_zfmisc_1(U_1773)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(U_1770,sK117(U_1773,U_1772,U_1771))],[f_536_2]) ).
fof(f_536_4,plain,
( ! [U_1771,U_1772,U_1773] :
( r2_hidden(sK117(U_1773,U_1772,U_1771),U_1772)
| ~ r2_hidden(sK117(U_1773,U_1772,U_1771),U_1771)
| ~ sP179(U_1771,U_1772,U_1773) )
& ! [U_1771,U_1772,U_1773] :
( r2_hidden(sK117(U_1773,U_1772,U_1771),U_1771)
| ~ r2_hidden(sK117(U_1773,U_1772,U_1771),U_1772)
| ~ sP179(U_1771,U_1772,U_1773) )
& ! [U_1771,U_1772,U_1773] :
( m1_subset_1(sK117(U_1773,U_1772,U_1771),U_1773)
| ~ sP179(U_1771,U_1772,U_1773) )
& ! [U_1771,U_1772,U_1773] :
( U_1772 = k3_subset_1(U_1773,U_1771)
| sP179(U_1771,U_1772,U_1773)
| ~ m1_subset_1(U_1771,k1_zfmisc_1(U_1773))
| ~ m1_subset_1(U_1772,k1_zfmisc_1(U_1773)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP179])],[f_536_3]) ).
cnf(f_536_5,plain,
( U_1772 = k3_subset_1(U_1773,U_1771)
| sP179(U_1771,U_1772,U_1773)
| ~ m1_subset_1(U_1771,k1_zfmisc_1(U_1773))
| ~ m1_subset_1(U_1772,k1_zfmisc_1(U_1773)) ),
inference(clausify,[status(thm)],[f_536_4]) ).
cnf(f_536_6,plain,
( m1_subset_1(sK117(U_1773,U_1772,U_1771),U_1773)
| ~ sP179(U_1771,U_1772,U_1773) ),
inference(clausify,[status(thm)],[f_536_4]) ).
cnf(f_536_7,plain,
( r2_hidden(sK117(U_1773,U_1772,U_1771),U_1771)
| ~ r2_hidden(sK117(U_1773,U_1772,U_1771),U_1772)
| ~ sP179(U_1771,U_1772,U_1773) ),
inference(clausify,[status(thm)],[f_536_4]) ).
cnf(f_536_8,plain,
( r2_hidden(sK117(U_1773,U_1772,U_1771),U_1772)
| ~ r2_hidden(sK117(U_1773,U_1772,U_1771),U_1771)
| ~ sP179(U_1771,U_1772,U_1773) ),
inference(clausify,[status(thm)],[f_536_4]) ).
fof(f_537_1,plain,
! [A,B,C] :
( ~ r2_hidden(B,C)
| ~ r2_hidden(B,k3_subset_1(A,C))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t54_subset_1]) ).
fof(f_537_2,plain,
! [U_1776,U_1775,U_1774] :
( ~ r2_hidden(U_1775,U_1774)
| ~ r2_hidden(U_1775,k3_subset_1(U_1776,U_1774))
| ~ m1_subset_1(U_1774,k1_zfmisc_1(U_1776)) ),
inference(variable_rename,[status(thm)],[f_537_1]) ).
fof(f_537_3,plain,
! [U_1776,U_1775,U_1774] :
( ~ r2_hidden(U_1775,U_1774)
| ~ r2_hidden(U_1775,k3_subset_1(U_1776,U_1774))
| ~ m1_subset_1(U_1774,k1_zfmisc_1(U_1776)) ),
inference(definitional_conversion,[status(esa)],[f_537_2]) ).
cnf(f_537_4,plain,
( ~ r2_hidden(U_1775,U_1774)
| ~ r2_hidden(U_1775,k3_subset_1(U_1776,U_1774))
| ~ m1_subset_1(U_1774,k1_zfmisc_1(U_1776)) ),
inference(clausify,[status(thm)],[f_537_3]) ).
fof(f_538_1,plain,
! [A,B] :
( m1_subset_1(k1_tarski(B),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t55_subset_1]) ).
fof(f_538_2,plain,
! [U_1778,U_1777] :
( m1_subset_1(k1_tarski(U_1777),k1_zfmisc_1(U_1778))
| U_1778 = k1_xboole_0
| ~ m1_subset_1(U_1777,U_1778) ),
inference(variable_rename,[status(thm)],[f_538_1]) ).
fof(f_538_3,plain,
! [U_1778,U_1777] :
( m1_subset_1(k1_tarski(U_1777),k1_zfmisc_1(U_1778))
| U_1778 = k1_xboole_0
| ~ m1_subset_1(U_1777,U_1778) ),
inference(definitional_conversion,[status(esa)],[f_538_2]) ).
cnf(f_538_4,plain,
( m1_subset_1(k1_tarski(U_1777),k1_zfmisc_1(U_1778))
| U_1778 = k1_xboole_0
| ~ m1_subset_1(U_1777,U_1778) ),
inference(clausify,[status(thm)],[f_538_3]) ).
fof(f_539_1,plain,
! [A,B] :
( ! [C] :
( m1_subset_1(k2_tarski(B,C),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t56_subset_1]) ).
fof(f_539_2,plain,
! [U_1781,U_1780] :
( ! [U_1779] :
( m1_subset_1(k2_tarski(U_1780,U_1779),k1_zfmisc_1(U_1781))
| U_1781 = k1_xboole_0
| ~ m1_subset_1(U_1779,U_1781) )
| ~ m1_subset_1(U_1780,U_1781) ),
inference(variable_rename,[status(thm)],[f_539_1]) ).
fof(f_539_3,plain,
! [U_1781,U_1780,U_1779] :
( m1_subset_1(k2_tarski(U_1780,U_1779),k1_zfmisc_1(U_1781))
| U_1781 = k1_xboole_0
| ~ m1_subset_1(U_1779,U_1781)
| ~ m1_subset_1(U_1780,U_1781) ),
inference(definitional_conversion,[status(esa)],[f_539_2]) ).
cnf(f_539_4,plain,
( m1_subset_1(k2_tarski(U_1780,U_1779),k1_zfmisc_1(U_1781))
| U_1781 = k1_xboole_0
| ~ m1_subset_1(U_1779,U_1781)
| ~ m1_subset_1(U_1780,U_1781) ),
inference(clausify,[status(thm)],[f_539_3]) ).
fof(f_540_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( m1_subset_1(k1_enumset1(B,C,D),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(D,A) )
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t57_subset_1]) ).
fof(f_540_2,plain,
! [U_1785,U_1784] :
( ! [U_1783] :
( ! [U_1782] :
( m1_subset_1(k1_enumset1(U_1784,U_1783,U_1782),k1_zfmisc_1(U_1785))
| U_1785 = k1_xboole_0
| ~ m1_subset_1(U_1782,U_1785) )
| ~ m1_subset_1(U_1783,U_1785) )
| ~ m1_subset_1(U_1784,U_1785) ),
inference(variable_rename,[status(thm)],[f_540_1]) ).
fof(f_540_3,plain,
! [U_1782,U_1783,U_1784,U_1785] :
( m1_subset_1(k1_enumset1(U_1784,U_1783,U_1782),k1_zfmisc_1(U_1785))
| U_1785 = k1_xboole_0
| ~ m1_subset_1(U_1782,U_1785)
| ~ m1_subset_1(U_1783,U_1785)
| ~ m1_subset_1(U_1784,U_1785) ),
inference(definitional_conversion,[status(esa)],[f_540_2]) ).
cnf(f_540_4,plain,
( m1_subset_1(k1_enumset1(U_1784,U_1783,U_1782),k1_zfmisc_1(U_1785))
| U_1785 = k1_xboole_0
| ~ m1_subset_1(U_1782,U_1785)
| ~ m1_subset_1(U_1783,U_1785)
| ~ m1_subset_1(U_1784,U_1785) ),
inference(clausify,[status(thm)],[f_540_3]) ).
fof(f_541_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_subset_1(k2_enumset1(B,C,D,E),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(E,A) )
| ~ m1_subset_1(D,A) )
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t58_subset_1]) ).
fof(f_541_2,plain,
! [U_1790,U_1789] :
( ! [U_1788] :
( ! [U_1787] :
( ! [U_1786] :
( m1_subset_1(k2_enumset1(U_1789,U_1788,U_1787,U_1786),k1_zfmisc_1(U_1790))
| U_1790 = k1_xboole_0
| ~ m1_subset_1(U_1786,U_1790) )
| ~ m1_subset_1(U_1787,U_1790) )
| ~ m1_subset_1(U_1788,U_1790) )
| ~ m1_subset_1(U_1789,U_1790) ),
inference(variable_rename,[status(thm)],[f_541_1]) ).
fof(f_541_3,plain,
! [U_1786,U_1787,U_1789,U_1788,U_1790] :
( m1_subset_1(k2_enumset1(U_1789,U_1788,U_1787,U_1786),k1_zfmisc_1(U_1790))
| U_1790 = k1_xboole_0
| ~ m1_subset_1(U_1786,U_1790)
| ~ m1_subset_1(U_1787,U_1790)
| ~ m1_subset_1(U_1788,U_1790)
| ~ m1_subset_1(U_1789,U_1790) ),
inference(definitional_conversion,[status(esa)],[f_541_2]) ).
cnf(f_541_4,plain,
( m1_subset_1(k2_enumset1(U_1789,U_1788,U_1787,U_1786),k1_zfmisc_1(U_1790))
| U_1790 = k1_xboole_0
| ~ m1_subset_1(U_1786,U_1790)
| ~ m1_subset_1(U_1787,U_1790)
| ~ m1_subset_1(U_1788,U_1790)
| ~ m1_subset_1(U_1789,U_1790) ),
inference(clausify,[status(thm)],[f_541_3]) ).
fof(f_542_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( m1_subset_1(k3_enumset1(B,C,D,E,F),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(F,A) )
| ~ m1_subset_1(E,A) )
| ~ m1_subset_1(D,A) )
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t59_subset_1]) ).
fof(f_542_2,plain,
! [U_1796,U_1795] :
( ! [U_1794] :
( ! [U_1793] :
( ! [U_1792] :
( ! [U_1791] :
( m1_subset_1(k3_enumset1(U_1795,U_1794,U_1793,U_1792,U_1791),k1_zfmisc_1(U_1796))
| U_1796 = k1_xboole_0
| ~ m1_subset_1(U_1791,U_1796) )
| ~ m1_subset_1(U_1792,U_1796) )
| ~ m1_subset_1(U_1793,U_1796) )
| ~ m1_subset_1(U_1794,U_1796) )
| ~ m1_subset_1(U_1795,U_1796) ),
inference(variable_rename,[status(thm)],[f_542_1]) ).
fof(f_542_3,plain,
! [U_1794,U_1791,U_1796,U_1792,U_1795,U_1793] :
( m1_subset_1(k3_enumset1(U_1795,U_1794,U_1793,U_1792,U_1791),k1_zfmisc_1(U_1796))
| U_1796 = k1_xboole_0
| ~ m1_subset_1(U_1791,U_1796)
| ~ m1_subset_1(U_1792,U_1796)
| ~ m1_subset_1(U_1793,U_1796)
| ~ m1_subset_1(U_1794,U_1796)
| ~ m1_subset_1(U_1795,U_1796) ),
inference(definitional_conversion,[status(esa)],[f_542_2]) ).
cnf(f_542_4,plain,
( m1_subset_1(k3_enumset1(U_1795,U_1794,U_1793,U_1792,U_1791),k1_zfmisc_1(U_1796))
| U_1796 = k1_xboole_0
| ~ m1_subset_1(U_1791,U_1796)
| ~ m1_subset_1(U_1792,U_1796)
| ~ m1_subset_1(U_1793,U_1796)
| ~ m1_subset_1(U_1794,U_1796)
| ~ m1_subset_1(U_1795,U_1796) ),
inference(clausify,[status(thm)],[f_542_3]) ).
fof(f_543_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( m1_subset_1(k4_enumset1(B,C,D,E,F,G),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(G,A) )
| ~ m1_subset_1(F,A) )
| ~ m1_subset_1(E,A) )
| ~ m1_subset_1(D,A) )
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t60_subset_1]) ).
fof(f_543_2,plain,
! [U_1803,U_1802] :
( ! [U_1801] :
( ! [U_1800] :
( ! [U_1799] :
( ! [U_1798] :
( ! [U_1797] :
( m1_subset_1(k4_enumset1(U_1802,U_1801,U_1800,U_1799,U_1798,U_1797),k1_zfmisc_1(U_1803))
| U_1803 = k1_xboole_0
| ~ m1_subset_1(U_1797,U_1803) )
| ~ m1_subset_1(U_1798,U_1803) )
| ~ m1_subset_1(U_1799,U_1803) )
| ~ m1_subset_1(U_1800,U_1803) )
| ~ m1_subset_1(U_1801,U_1803) )
| ~ m1_subset_1(U_1802,U_1803) ),
inference(variable_rename,[status(thm)],[f_543_1]) ).
fof(f_543_3,plain,
! [U_1801,U_1797,U_1802,U_1803,U_1800,U_1798,U_1799] :
( m1_subset_1(k4_enumset1(U_1802,U_1801,U_1800,U_1799,U_1798,U_1797),k1_zfmisc_1(U_1803))
| U_1803 = k1_xboole_0
| ~ m1_subset_1(U_1797,U_1803)
| ~ m1_subset_1(U_1798,U_1803)
| ~ m1_subset_1(U_1799,U_1803)
| ~ m1_subset_1(U_1800,U_1803)
| ~ m1_subset_1(U_1801,U_1803)
| ~ m1_subset_1(U_1802,U_1803) ),
inference(definitional_conversion,[status(esa)],[f_543_2]) ).
cnf(f_543_4,plain,
( m1_subset_1(k4_enumset1(U_1802,U_1801,U_1800,U_1799,U_1798,U_1797),k1_zfmisc_1(U_1803))
| U_1803 = k1_xboole_0
| ~ m1_subset_1(U_1797,U_1803)
| ~ m1_subset_1(U_1798,U_1803)
| ~ m1_subset_1(U_1799,U_1803)
| ~ m1_subset_1(U_1800,U_1803)
| ~ m1_subset_1(U_1801,U_1803)
| ~ m1_subset_1(U_1802,U_1803) ),
inference(clausify,[status(thm)],[f_543_3]) ).
fof(f_544_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( ! [H] :
( m1_subset_1(k5_enumset1(B,C,D,E,F,G,H),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(H,A) )
| ~ m1_subset_1(G,A) )
| ~ m1_subset_1(F,A) )
| ~ m1_subset_1(E,A) )
| ~ m1_subset_1(D,A) )
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t61_subset_1]) ).
fof(f_544_2,plain,
! [U_1811,U_1810] :
( ! [U_1809] :
( ! [U_1808] :
( ! [U_1807] :
( ! [U_1806] :
( ! [U_1805] :
( ! [U_1804] :
( m1_subset_1(k5_enumset1(U_1810,U_1809,U_1808,U_1807,U_1806,U_1805,U_1804),k1_zfmisc_1(U_1811))
| U_1811 = k1_xboole_0
| ~ m1_subset_1(U_1804,U_1811) )
| ~ m1_subset_1(U_1805,U_1811) )
| ~ m1_subset_1(U_1806,U_1811) )
| ~ m1_subset_1(U_1807,U_1811) )
| ~ m1_subset_1(U_1808,U_1811) )
| ~ m1_subset_1(U_1809,U_1811) )
| ~ m1_subset_1(U_1810,U_1811) ),
inference(variable_rename,[status(thm)],[f_544_1]) ).
fof(f_544_3,plain,
! [U_1809,U_1805,U_1807,U_1810,U_1811,U_1806,U_1808,U_1804] :
( m1_subset_1(k5_enumset1(U_1810,U_1809,U_1808,U_1807,U_1806,U_1805,U_1804),k1_zfmisc_1(U_1811))
| U_1811 = k1_xboole_0
| ~ m1_subset_1(U_1804,U_1811)
| ~ m1_subset_1(U_1805,U_1811)
| ~ m1_subset_1(U_1806,U_1811)
| ~ m1_subset_1(U_1807,U_1811)
| ~ m1_subset_1(U_1808,U_1811)
| ~ m1_subset_1(U_1809,U_1811)
| ~ m1_subset_1(U_1810,U_1811) ),
inference(definitional_conversion,[status(esa)],[f_544_2]) ).
cnf(f_544_4,plain,
( m1_subset_1(k5_enumset1(U_1810,U_1809,U_1808,U_1807,U_1806,U_1805,U_1804),k1_zfmisc_1(U_1811))
| U_1811 = k1_xboole_0
| ~ m1_subset_1(U_1804,U_1811)
| ~ m1_subset_1(U_1805,U_1811)
| ~ m1_subset_1(U_1806,U_1811)
| ~ m1_subset_1(U_1807,U_1811)
| ~ m1_subset_1(U_1808,U_1811)
| ~ m1_subset_1(U_1809,U_1811)
| ~ m1_subset_1(U_1810,U_1811) ),
inference(clausify,[status(thm)],[f_544_3]) ).
fof(f_545_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( ! [H] :
( ! [I] :
( m1_subset_1(k6_enumset1(B,C,D,E,F,G,H,I),k1_zfmisc_1(A))
| A = k1_xboole_0
| ~ m1_subset_1(I,A) )
| ~ m1_subset_1(H,A) )
| ~ m1_subset_1(G,A) )
| ~ m1_subset_1(F,A) )
| ~ m1_subset_1(E,A) )
| ~ m1_subset_1(D,A) )
| ~ m1_subset_1(C,A) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[t62_subset_1]) ).
fof(f_545_2,plain,
! [U_1820,U_1819] :
( ! [U_1818] :
( ! [U_1817] :
( ! [U_1816] :
( ! [U_1815] :
( ! [U_1814] :
( ! [U_1813] :
( ! [U_1812] :
( m1_subset_1(k6_enumset1(U_1819,U_1818,U_1817,U_1816,U_1815,U_1814,U_1813,U_1812),k1_zfmisc_1(U_1820))
| U_1820 = k1_xboole_0
| ~ m1_subset_1(U_1812,U_1820) )
| ~ m1_subset_1(U_1813,U_1820) )
| ~ m1_subset_1(U_1814,U_1820) )
| ~ m1_subset_1(U_1815,U_1820) )
| ~ m1_subset_1(U_1816,U_1820) )
| ~ m1_subset_1(U_1817,U_1820) )
| ~ m1_subset_1(U_1818,U_1820) )
| ~ m1_subset_1(U_1819,U_1820) ),
inference(variable_rename,[status(thm)],[f_545_1]) ).
fof(f_545_3,plain,
! [U_1814,U_1818,U_1819,U_1816,U_1813,U_1815,U_1817,U_1820,U_1812] :
( m1_subset_1(k6_enumset1(U_1819,U_1818,U_1817,U_1816,U_1815,U_1814,U_1813,U_1812),k1_zfmisc_1(U_1820))
| U_1820 = k1_xboole_0
| ~ m1_subset_1(U_1812,U_1820)
| ~ m1_subset_1(U_1813,U_1820)
| ~ m1_subset_1(U_1814,U_1820)
| ~ m1_subset_1(U_1815,U_1820)
| ~ m1_subset_1(U_1816,U_1820)
| ~ m1_subset_1(U_1817,U_1820)
| ~ m1_subset_1(U_1818,U_1820)
| ~ m1_subset_1(U_1819,U_1820) ),
inference(definitional_conversion,[status(esa)],[f_545_2]) ).
cnf(f_545_4,plain,
( m1_subset_1(k6_enumset1(U_1819,U_1818,U_1817,U_1816,U_1815,U_1814,U_1813,U_1812),k1_zfmisc_1(U_1820))
| U_1820 = k1_xboole_0
| ~ m1_subset_1(U_1812,U_1820)
| ~ m1_subset_1(U_1813,U_1820)
| ~ m1_subset_1(U_1814,U_1820)
| ~ m1_subset_1(U_1815,U_1820)
| ~ m1_subset_1(U_1816,U_1820)
| ~ m1_subset_1(U_1817,U_1820)
| ~ m1_subset_1(U_1818,U_1820)
| ~ m1_subset_1(U_1819,U_1820) ),
inference(clausify,[status(thm)],[f_545_3]) ).
fof(f_546_1,plain,
! [A,B] :
( m1_subset_1(k1_tarski(A),k1_zfmisc_1(B))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t63_subset_1]) ).
fof(f_546_2,plain,
! [U_1822,U_1821] :
( m1_subset_1(k1_tarski(U_1822),k1_zfmisc_1(U_1821))
| ~ r2_hidden(U_1822,U_1821) ),
inference(variable_rename,[status(thm)],[f_546_1]) ).
fof(f_546_3,plain,
! [U_1822,U_1821] :
( m1_subset_1(k1_tarski(U_1822),k1_zfmisc_1(U_1821))
| ~ r2_hidden(U_1822,U_1821) ),
inference(definitional_conversion,[status(esa)],[f_546_2]) ).
cnf(f_546_4,plain,
( m1_subset_1(k1_tarski(U_1822),k1_zfmisc_1(U_1821))
| ~ r2_hidden(U_1822,U_1821) ),
inference(clausify,[status(thm)],[f_546_3]) ).
fof(f_547_1,plain,
! [A] :
( ! [B] :
( B = k8_subset_1(A)
| ~ m1_subset_1(B,A) )
| $true ),
inference(fof_nnf,[status(thm)],[d6_subset_1]) ).
fof(f_547_2,plain,
! [U_1824] :
( ! [U_1823] :
( U_1823 = k8_subset_1(U_1824)
| ~ m1_subset_1(U_1823,U_1824) )
| $true ),
inference(variable_rename,[status(thm)],[f_547_1]) ).
fof(f_547_3,plain,
( ! [U_1824,U_1823] :
( U_1823 = k8_subset_1(U_1824)
| ~ m1_subset_1(U_1823,U_1824) )
| $true ),
inference(miniscope,[status(thm)],[f_547_2]) ).
fof(f_547_4,plain,
! [U_1823,U_1824] :
( U_1823 = k8_subset_1(U_1824)
| ~ m1_subset_1(U_1823,U_1824)
| $true ),
inference(definitional_conversion,[status(esa)],[f_547_3]) ).
cnf(f_547_5,plain,
( U_1823 = k8_subset_1(U_1824)
| ~ m1_subset_1(U_1823,U_1824)
| $true ),
inference(clausify,[status(thm)],[f_547_4]) ).
fof(f_548_1,plain,
? [A] :
( ! [B] :
( ( r2_hidden(B,A)
| ~ p1_s1_subset_1(B)
| ~ r2_hidden(B,f1_s1_subset_1) )
& ( ( p1_s1_subset_1(B)
& r2_hidden(B,f1_s1_subset_1) )
| ~ r2_hidden(B,A) ) )
& m1_subset_1(A,k1_zfmisc_1(f1_s1_subset_1)) ),
inference(fof_nnf,[status(thm)],[s1_subset_1]) ).
fof(f_548_2,plain,
? [U_1826] :
( ! [U_1825] :
( ( r2_hidden(U_1825,U_1826)
| ~ p1_s1_subset_1(U_1825)
| ~ r2_hidden(U_1825,f1_s1_subset_1) )
& ( ( p1_s1_subset_1(U_1825)
& r2_hidden(U_1825,f1_s1_subset_1) )
| ~ r2_hidden(U_1825,U_1826) ) )
& m1_subset_1(U_1826,k1_zfmisc_1(f1_s1_subset_1)) ),
inference(variable_rename,[status(thm)],[f_548_1]) ).
fof(f_548_3,plain,
? [U_1826] :
( ! [U_1828] :
( r2_hidden(U_1828,U_1826)
| ~ p1_s1_subset_1(U_1828)
| ~ r2_hidden(U_1828,f1_s1_subset_1) )
& ! [U_1827] :
( ( p1_s1_subset_1(U_1827)
& r2_hidden(U_1827,f1_s1_subset_1) )
| ~ r2_hidden(U_1827,U_1826) )
& m1_subset_1(U_1826,k1_zfmisc_1(f1_s1_subset_1)) ),
inference(miniscope,[status(thm)],[f_548_2]) ).
fof(f_548_4,plain,
( ! [U_1828] :
( r2_hidden(U_1828,sK118)
| ~ p1_s1_subset_1(U_1828)
| ~ r2_hidden(U_1828,f1_s1_subset_1) )
& ! [U_1827] :
( ( p1_s1_subset_1(U_1827)
& r2_hidden(U_1827,f1_s1_subset_1) )
| ~ r2_hidden(U_1827,sK118) )
& m1_subset_1(sK118,k1_zfmisc_1(f1_s1_subset_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118]),skolemize(U_1826,sK118)],[f_548_3]) ).
fof(f_548_5,plain,
( ! [U_1827] :
( p1_s1_subset_1(U_1827)
| ~ sP180(U_1827) )
& ! [U_1827] :
( r2_hidden(U_1827,f1_s1_subset_1)
| ~ sP180(U_1827) )
& ! [U_1828] :
( r2_hidden(U_1828,sK118)
| ~ p1_s1_subset_1(U_1828)
| ~ r2_hidden(U_1828,f1_s1_subset_1) )
& ! [U_1827] :
( sP180(U_1827)
| ~ r2_hidden(U_1827,sK118) )
& m1_subset_1(sK118,k1_zfmisc_1(f1_s1_subset_1)) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP180])],[f_548_4]) ).
cnf(f_548_6,plain,
m1_subset_1(sK118,k1_zfmisc_1(f1_s1_subset_1)),
inference(clausify,[status(thm)],[f_548_5]) ).
cnf(f_548_7,plain,
( sP180(U_1827)
| ~ r2_hidden(U_1827,sK118) ),
inference(clausify,[status(thm)],[f_548_5]) ).
cnf(f_548_8,plain,
( r2_hidden(U_1828,sK118)
| ~ p1_s1_subset_1(U_1828)
| ~ r2_hidden(U_1828,f1_s1_subset_1) ),
inference(clausify,[status(thm)],[f_548_5]) ).
cnf(f_548_9,plain,
( r2_hidden(U_1827,f1_s1_subset_1)
| ~ sP180(U_1827) ),
inference(clausify,[status(thm)],[f_548_5]) ).
cnf(f_548_10,plain,
( p1_s1_subset_1(U_1827)
| ~ sP180(U_1827) ),
inference(clausify,[status(thm)],[f_548_5]) ).
fof(f_549_1,plain,
! [A] :
( ! [B] :
( A = B
| ? [C] :
( ( ( ~ r2_hidden(C,B)
& p1_s2_subset_1(C) )
| ( ~ p1_s2_subset_1(C)
& r2_hidden(C,B) ) )
& m1_subset_1(C,f1_s2_subset_1) )
| ? [C] :
( ( ( ~ r2_hidden(C,A)
& p1_s2_subset_1(C) )
| ( ~ p1_s2_subset_1(C)
& r2_hidden(C,A) ) )
& m1_subset_1(C,f1_s2_subset_1) )
| ~ m1_subset_1(B,k1_zfmisc_1(f1_s2_subset_1)) )
| ~ m1_subset_1(A,k1_zfmisc_1(f1_s2_subset_1)) ),
inference(fof_nnf,[status(thm)],[s2_subset_1]) ).
fof(f_549_2,plain,
! [U_1832] :
( ! [U_1831] :
( U_1832 = U_1831
| ? [U_1830] :
( ( ( ~ r2_hidden(U_1830,U_1831)
& p1_s2_subset_1(U_1830) )
| ( ~ p1_s2_subset_1(U_1830)
& r2_hidden(U_1830,U_1831) ) )
& m1_subset_1(U_1830,f1_s2_subset_1) )
| ? [U_1829] :
( ( ( ~ r2_hidden(U_1829,U_1832)
& p1_s2_subset_1(U_1829) )
| ( ~ p1_s2_subset_1(U_1829)
& r2_hidden(U_1829,U_1832) ) )
& m1_subset_1(U_1829,f1_s2_subset_1) )
| ~ m1_subset_1(U_1831,k1_zfmisc_1(f1_s2_subset_1)) )
| ~ m1_subset_1(U_1832,k1_zfmisc_1(f1_s2_subset_1)) ),
inference(variable_rename,[status(thm)],[f_549_1]) ).
fof(f_549_3,plain,
! [U_1832] :
( ! [U_1831] :
( U_1832 = U_1831
| ? [U_1830] :
( ( ( ~ r2_hidden(U_1830,U_1831)
& p1_s2_subset_1(U_1830) )
| ( ~ p1_s2_subset_1(U_1830)
& r2_hidden(U_1830,U_1831) ) )
& m1_subset_1(U_1830,f1_s2_subset_1) )
| ( ( ( ~ r2_hidden(sK119(U_1832,U_1831),U_1832)
& p1_s2_subset_1(sK119(U_1832,U_1831)) )
| ( ~ p1_s2_subset_1(sK119(U_1832,U_1831))
& r2_hidden(sK119(U_1832,U_1831),U_1832) ) )
& m1_subset_1(sK119(U_1832,U_1831),f1_s2_subset_1) )
| ~ m1_subset_1(U_1831,k1_zfmisc_1(f1_s2_subset_1)) )
| ~ m1_subset_1(U_1832,k1_zfmisc_1(f1_s2_subset_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119]),skolemize(U_1829,sK119(U_1832,U_1831))],[f_549_2]) ).
fof(f_549_4,plain,
! [U_1832] :
( ! [U_1831] :
( U_1832 = U_1831
| ( ( ( ~ r2_hidden(sK120(U_1832,U_1831),U_1831)
& p1_s2_subset_1(sK120(U_1832,U_1831)) )
| ( ~ p1_s2_subset_1(sK120(U_1832,U_1831))
& r2_hidden(sK120(U_1832,U_1831),U_1831) ) )
& m1_subset_1(sK120(U_1832,U_1831),f1_s2_subset_1) )
| ( ( ( ~ r2_hidden(sK119(U_1832,U_1831),U_1832)
& p1_s2_subset_1(sK119(U_1832,U_1831)) )
| ( ~ p1_s2_subset_1(sK119(U_1832,U_1831))
& r2_hidden(sK119(U_1832,U_1831),U_1832) ) )
& m1_subset_1(sK119(U_1832,U_1831),f1_s2_subset_1) )
| ~ m1_subset_1(U_1831,k1_zfmisc_1(f1_s2_subset_1)) )
| ~ m1_subset_1(U_1832,k1_zfmisc_1(f1_s2_subset_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120]),skolemize(U_1830,sK120(U_1832,U_1831))],[f_549_3]) ).
fof(f_549_5,plain,
( ! [U_1831,U_1832] :
( ~ r2_hidden(sK120(U_1832,U_1831),U_1831)
| ~ sP185(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( p1_s2_subset_1(sK120(U_1832,U_1831))
| ~ sP185(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( ~ p1_s2_subset_1(sK120(U_1832,U_1831))
| ~ sP184(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( r2_hidden(sK120(U_1832,U_1831),U_1831)
| ~ sP184(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( sP185(U_1831,U_1832)
| sP184(U_1831,U_1832)
| ~ sP186(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( m1_subset_1(sK120(U_1832,U_1831),f1_s2_subset_1)
| ~ sP186(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( ~ r2_hidden(sK119(U_1832,U_1831),U_1832)
| ~ sP182(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( p1_s2_subset_1(sK119(U_1832,U_1831))
| ~ sP182(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( ~ p1_s2_subset_1(sK119(U_1832,U_1831))
| ~ sP181(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( r2_hidden(sK119(U_1832,U_1831),U_1832)
| ~ sP181(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( sP182(U_1831,U_1832)
| sP181(U_1831,U_1832)
| ~ sP183(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( m1_subset_1(sK119(U_1832,U_1831),f1_s2_subset_1)
| ~ sP183(U_1831,U_1832) )
& ! [U_1831,U_1832] :
( U_1832 = U_1831
| sP186(U_1831,U_1832)
| sP183(U_1831,U_1832)
| ~ m1_subset_1(U_1831,k1_zfmisc_1(f1_s2_subset_1))
| ~ m1_subset_1(U_1832,k1_zfmisc_1(f1_s2_subset_1)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP181,sP182,sP183,sP184,sP185,sP186])],[f_549_4]) ).
cnf(f_549_6,plain,
( U_1832 = U_1831
| sP186(U_1831,U_1832)
| sP183(U_1831,U_1832)
| ~ m1_subset_1(U_1831,k1_zfmisc_1(f1_s2_subset_1))
| ~ m1_subset_1(U_1832,k1_zfmisc_1(f1_s2_subset_1)) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_7,plain,
( m1_subset_1(sK119(U_1832,U_1831),f1_s2_subset_1)
| ~ sP183(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_8,plain,
( sP182(U_1831,U_1832)
| sP181(U_1831,U_1832)
| ~ sP183(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_9,plain,
( r2_hidden(sK119(U_1832,U_1831),U_1832)
| ~ sP181(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_10,plain,
( ~ p1_s2_subset_1(sK119(U_1832,U_1831))
| ~ sP181(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_11,plain,
( p1_s2_subset_1(sK119(U_1832,U_1831))
| ~ sP182(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_12,plain,
( ~ r2_hidden(sK119(U_1832,U_1831),U_1832)
| ~ sP182(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_13,plain,
( m1_subset_1(sK120(U_1832,U_1831),f1_s2_subset_1)
| ~ sP186(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_14,plain,
( sP185(U_1831,U_1832)
| sP184(U_1831,U_1832)
| ~ sP186(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_15,plain,
( r2_hidden(sK120(U_1832,U_1831),U_1831)
| ~ sP184(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_16,plain,
( ~ p1_s2_subset_1(sK120(U_1832,U_1831))
| ~ sP184(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_17,plain,
( p1_s2_subset_1(sK120(U_1832,U_1831))
| ~ sP185(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
cnf(f_549_18,plain,
( ~ r2_hidden(sK120(U_1832,U_1831),U_1831)
| ~ sP185(U_1831,U_1832) ),
inference(clausify,[status(thm)],[f_549_5]) ).
fof(f_550_1,plain,
? [A] :
( ! [B] :
( ( ( r2_hidden(B,A)
| ~ p1_s3_subset_1(B) )
& ( p1_s3_subset_1(B)
| ~ r2_hidden(B,A) ) )
| ~ m1_subset_1(B,f1_s3_subset_1) )
& m1_subset_1(A,k1_zfmisc_1(f1_s3_subset_1)) ),
inference(fof_nnf,[status(thm)],[s3_subset_1]) ).
fof(f_550_2,plain,
? [U_1834] :
( ! [U_1833] :
( ( ( r2_hidden(U_1833,U_1834)
| ~ p1_s3_subset_1(U_1833) )
& ( p1_s3_subset_1(U_1833)
| ~ r2_hidden(U_1833,U_1834) ) )
| ~ m1_subset_1(U_1833,f1_s3_subset_1) )
& m1_subset_1(U_1834,k1_zfmisc_1(f1_s3_subset_1)) ),
inference(variable_rename,[status(thm)],[f_550_1]) ).
fof(f_550_3,plain,
( ! [U_1833] :
( ( ( r2_hidden(U_1833,sK121)
| ~ p1_s3_subset_1(U_1833) )
& ( p1_s3_subset_1(U_1833)
| ~ r2_hidden(U_1833,sK121) ) )
| ~ m1_subset_1(U_1833,f1_s3_subset_1) )
& m1_subset_1(sK121,k1_zfmisc_1(f1_s3_subset_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121]),skolemize(U_1834,sK121)],[f_550_2]) ).
fof(f_550_4,plain,
( ! [U_1833] :
( r2_hidden(U_1833,sK121)
| ~ p1_s3_subset_1(U_1833)
| ~ sP187(U_1833) )
& ! [U_1833] :
( p1_s3_subset_1(U_1833)
| ~ r2_hidden(U_1833,sK121)
| ~ sP187(U_1833) )
& ! [U_1833] :
( sP187(U_1833)
| ~ m1_subset_1(U_1833,f1_s3_subset_1) )
& m1_subset_1(sK121,k1_zfmisc_1(f1_s3_subset_1)) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP187])],[f_550_3]) ).
cnf(f_550_5,plain,
m1_subset_1(sK121,k1_zfmisc_1(f1_s3_subset_1)),
inference(clausify,[status(thm)],[f_550_4]) ).
cnf(f_550_6,plain,
( sP187(U_1833)
| ~ m1_subset_1(U_1833,f1_s3_subset_1) ),
inference(clausify,[status(thm)],[f_550_4]) ).
cnf(f_550_7,plain,
( p1_s3_subset_1(U_1833)
| ~ r2_hidden(U_1833,sK121)
| ~ sP187(U_1833) ),
inference(clausify,[status(thm)],[f_550_4]) ).
cnf(f_550_8,plain,
( r2_hidden(U_1833,sK121)
| ~ p1_s3_subset_1(U_1833)
| ~ sP187(U_1833) ),
inference(clausify,[status(thm)],[f_550_4]) ).
fof(f_551_1,plain,
( f2_s4_subset_1 = f3_s4_subset_1
| ? [A] :
( ( ( ~ r2_hidden(A,f3_s4_subset_1)
& p1_s4_subset_1(A) )
| ( ~ p1_s4_subset_1(A)
& r2_hidden(A,f3_s4_subset_1) ) )
& m1_subset_1(A,f1_s4_subset_1) )
| ? [A] :
( ( ( ~ r2_hidden(A,f2_s4_subset_1)
& p1_s4_subset_1(A) )
| ( ~ p1_s4_subset_1(A)
& r2_hidden(A,f2_s4_subset_1) ) )
& m1_subset_1(A,f1_s4_subset_1) ) ),
inference(fof_nnf,[status(thm)],[s4_subset_1]) ).
fof(f_551_2,plain,
( f2_s4_subset_1 = f3_s4_subset_1
| ? [U_1836] :
( ( ( ~ r2_hidden(U_1836,f3_s4_subset_1)
& p1_s4_subset_1(U_1836) )
| ( ~ p1_s4_subset_1(U_1836)
& r2_hidden(U_1836,f3_s4_subset_1) ) )
& m1_subset_1(U_1836,f1_s4_subset_1) )
| ? [U_1835] :
( ( ( ~ r2_hidden(U_1835,f2_s4_subset_1)
& p1_s4_subset_1(U_1835) )
| ( ~ p1_s4_subset_1(U_1835)
& r2_hidden(U_1835,f2_s4_subset_1) ) )
& m1_subset_1(U_1835,f1_s4_subset_1) ) ),
inference(variable_rename,[status(thm)],[f_551_1]) ).
fof(f_551_3,plain,
( f2_s4_subset_1 = f3_s4_subset_1
| ? [U_1836] :
( ( ( ~ r2_hidden(U_1836,f3_s4_subset_1)
& p1_s4_subset_1(U_1836) )
| ( ~ p1_s4_subset_1(U_1836)
& r2_hidden(U_1836,f3_s4_subset_1) ) )
& m1_subset_1(U_1836,f1_s4_subset_1) )
| ( ( ( ~ r2_hidden(sK122,f2_s4_subset_1)
& p1_s4_subset_1(sK122) )
| ( ~ p1_s4_subset_1(sK122)
& r2_hidden(sK122,f2_s4_subset_1) ) )
& m1_subset_1(sK122,f1_s4_subset_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(U_1835,sK122)],[f_551_2]) ).
fof(f_551_4,plain,
( f2_s4_subset_1 = f3_s4_subset_1
| ( ( ( ~ r2_hidden(sK123,f3_s4_subset_1)
& p1_s4_subset_1(sK123) )
| ( ~ p1_s4_subset_1(sK123)
& r2_hidden(sK123,f3_s4_subset_1) ) )
& m1_subset_1(sK123,f1_s4_subset_1) )
| ( ( ( ~ r2_hidden(sK122,f2_s4_subset_1)
& p1_s4_subset_1(sK122) )
| ( ~ p1_s4_subset_1(sK122)
& r2_hidden(sK122,f2_s4_subset_1) ) )
& m1_subset_1(sK122,f1_s4_subset_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK123]),skolemize(U_1836,sK123)],[f_551_3]) ).
fof(f_551_5,plain,
( ( ~ r2_hidden(sK123,f3_s4_subset_1)
| ~ sP192 )
& ( p1_s4_subset_1(sK123)
| ~ sP192 )
& ( ~ p1_s4_subset_1(sK123)
| ~ sP191 )
& ( r2_hidden(sK123,f3_s4_subset_1)
| ~ sP191 )
& ( sP192
| sP191
| ~ sP193 )
& ( m1_subset_1(sK123,f1_s4_subset_1)
| ~ sP193 )
& ( ~ r2_hidden(sK122,f2_s4_subset_1)
| ~ sP189 )
& ( p1_s4_subset_1(sK122)
| ~ sP189 )
& ( ~ p1_s4_subset_1(sK122)
| ~ sP188 )
& ( r2_hidden(sK122,f2_s4_subset_1)
| ~ sP188 )
& ( sP189
| sP188
| ~ sP190 )
& ( m1_subset_1(sK122,f1_s4_subset_1)
| ~ sP190 )
& ( f2_s4_subset_1 = f3_s4_subset_1
| sP193
| sP190 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP188,sP189,sP190,sP191,sP192,sP193])],[f_551_4]) ).
cnf(f_551_6,plain,
( f2_s4_subset_1 = f3_s4_subset_1
| sP193
| sP190 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_7,plain,
( m1_subset_1(sK122,f1_s4_subset_1)
| ~ sP190 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_8,plain,
( sP189
| sP188
| ~ sP190 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_9,plain,
( r2_hidden(sK122,f2_s4_subset_1)
| ~ sP188 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_10,plain,
( ~ p1_s4_subset_1(sK122)
| ~ sP188 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_11,plain,
( p1_s4_subset_1(sK122)
| ~ sP189 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_12,plain,
( ~ r2_hidden(sK122,f2_s4_subset_1)
| ~ sP189 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_13,plain,
( m1_subset_1(sK123,f1_s4_subset_1)
| ~ sP193 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_14,plain,
( sP192
| sP191
| ~ sP193 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_15,plain,
( r2_hidden(sK123,f3_s4_subset_1)
| ~ sP191 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_16,plain,
( ~ p1_s4_subset_1(sK123)
| ~ sP191 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_17,plain,
( p1_s4_subset_1(sK123)
| ~ sP192 ),
inference(clausify,[status(thm)],[f_551_5]) ).
cnf(f_551_18,plain,
( ~ r2_hidden(sK123,f3_s4_subset_1)
| ~ sP192 ),
inference(clausify,[status(thm)],[f_551_5]) ).
fof(f_552_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
fof(f_552_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_552_1]) ).
cnf(f_552_3,plain,
$true,
inference(clausify,[status(thm)],[f_552_2]) ).
fof(f_553_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_553_2,plain,
! [U_1838] :
? [U_1837] : m1_subset_1(U_1837,U_1838),
inference(variable_rename,[status(thm)],[f_553_1]) ).
fof(f_553_3,plain,
! [U_1838] : m1_subset_1(sK124(U_1838),U_1838),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124]),skolemize(U_1837,sK124(U_1838))],[f_553_2]) ).
fof(f_553_4,plain,
! [U_1838] : m1_subset_1(sK124(U_1838),U_1838),
inference(definitional_conversion,[status(esa)],[f_553_3]) ).
cnf(f_553_5,plain,
m1_subset_1(sK124(U_1838),U_1838),
inference(clausify,[status(thm)],[f_553_4]) ).
fof(f_554_1,plain,
! [A,B] :
( ! [C] :
( m1_subset_1(C,A)
| ~ m2_subset_1(C,A,B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A))
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_subset_1]) ).
fof(f_554_2,plain,
! [U_1841,U_1840] :
( ! [U_1839] :
( m1_subset_1(U_1839,U_1841)
| ~ m2_subset_1(U_1839,U_1841,U_1840) )
| ~ m1_subset_1(U_1840,k1_zfmisc_1(U_1841))
| v1_xboole_0(U_1840)
| v1_xboole_0(U_1841) ),
inference(variable_rename,[status(thm)],[f_554_1]) ).
fof(f_554_3,plain,
! [U_1841,U_1839,U_1840] :
( m1_subset_1(U_1839,U_1841)
| ~ m2_subset_1(U_1839,U_1841,U_1840)
| ~ m1_subset_1(U_1840,k1_zfmisc_1(U_1841))
| v1_xboole_0(U_1840)
| v1_xboole_0(U_1841) ),
inference(definitional_conversion,[status(esa)],[f_554_2]) ).
cnf(f_554_4,plain,
( m1_subset_1(U_1839,U_1841)
| ~ m2_subset_1(U_1839,U_1841,U_1840)
| ~ m1_subset_1(U_1840,k1_zfmisc_1(U_1841))
| v1_xboole_0(U_1840)
| v1_xboole_0(U_1841) ),
inference(clausify,[status(thm)],[f_554_3]) ).
fof(f_555_1,plain,
! [A,B] :
( ? [C] : m2_subset_1(C,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(A))
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_subset_1]) ).
fof(f_555_2,plain,
! [U_1844,U_1843] :
( ? [U_1842] : m2_subset_1(U_1842,U_1844,U_1843)
| ~ m1_subset_1(U_1843,k1_zfmisc_1(U_1844))
| v1_xboole_0(U_1843)
| v1_xboole_0(U_1844) ),
inference(variable_rename,[status(thm)],[f_555_1]) ).
fof(f_555_3,plain,
! [U_1844,U_1843] :
( m2_subset_1(sK125(U_1844,U_1843),U_1844,U_1843)
| ~ m1_subset_1(U_1843,k1_zfmisc_1(U_1844))
| v1_xboole_0(U_1843)
| v1_xboole_0(U_1844) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK125]),skolemize(U_1842,sK125(U_1844,U_1843))],[f_555_2]) ).
fof(f_555_4,plain,
! [U_1843,U_1844] :
( m2_subset_1(sK125(U_1844,U_1843),U_1844,U_1843)
| ~ m1_subset_1(U_1843,k1_zfmisc_1(U_1844))
| v1_xboole_0(U_1843)
| v1_xboole_0(U_1844) ),
inference(definitional_conversion,[status(esa)],[f_555_3]) ).
cnf(f_555_5,plain,
( m2_subset_1(sK125(U_1844,U_1843),U_1844,U_1843)
| ~ m1_subset_1(U_1843,k1_zfmisc_1(U_1844))
| v1_xboole_0(U_1843)
| v1_xboole_0(U_1844) ),
inference(clausify,[status(thm)],[f_555_4]) ).
fof(f_556_1,plain,
! [A,B] :
( ! [C] :
( ( m2_subset_1(C,A,B)
| ~ m1_subset_1(C,B) )
& ( m1_subset_1(C,B)
| ~ m2_subset_1(C,A,B) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(A))
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_subset_1]) ).
fof(f_556_2,plain,
! [U_1847,U_1846] :
( ! [U_1845] :
( ( m2_subset_1(U_1845,U_1847,U_1846)
| ~ m1_subset_1(U_1845,U_1846) )
& ( m1_subset_1(U_1845,U_1846)
| ~ m2_subset_1(U_1845,U_1847,U_1846) ) )
| ~ m1_subset_1(U_1846,k1_zfmisc_1(U_1847))
| v1_xboole_0(U_1846)
| v1_xboole_0(U_1847) ),
inference(variable_rename,[status(thm)],[f_556_1]) ).
fof(f_556_3,plain,
! [U_1847,U_1846] :
( ( ! [U_1849] :
( m2_subset_1(U_1849,U_1847,U_1846)
| ~ m1_subset_1(U_1849,U_1846) )
& ! [U_1848] :
( m1_subset_1(U_1848,U_1846)
| ~ m2_subset_1(U_1848,U_1847,U_1846) ) )
| ~ m1_subset_1(U_1846,k1_zfmisc_1(U_1847))
| v1_xboole_0(U_1846)
| v1_xboole_0(U_1847) ),
inference(miniscope,[status(thm)],[f_556_2]) ).
fof(f_556_4,plain,
( ! [U_1847,U_1848,U_1846,U_1849] :
( m2_subset_1(U_1849,U_1847,U_1846)
| ~ m1_subset_1(U_1849,U_1846)
| ~ sP194(U_1847,U_1848,U_1846,U_1849) )
& ! [U_1847,U_1848,U_1846,U_1849] :
( m1_subset_1(U_1848,U_1846)
| ~ m2_subset_1(U_1848,U_1847,U_1846)
| ~ sP194(U_1847,U_1848,U_1846,U_1849) )
& ! [U_1847,U_1848,U_1846,U_1849] :
( sP194(U_1847,U_1848,U_1846,U_1849)
| ~ m1_subset_1(U_1846,k1_zfmisc_1(U_1847))
| v1_xboole_0(U_1846)
| v1_xboole_0(U_1847) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP194])],[f_556_3]) ).
cnf(f_556_5,plain,
( sP194(U_1847,U_1848,U_1846,U_1849)
| ~ m1_subset_1(U_1846,k1_zfmisc_1(U_1847))
| v1_xboole_0(U_1846)
| v1_xboole_0(U_1847) ),
inference(clausify,[status(thm)],[f_556_4]) ).
cnf(f_556_6,plain,
( m1_subset_1(U_1848,U_1846)
| ~ m2_subset_1(U_1848,U_1847,U_1846)
| ~ sP194(U_1847,U_1848,U_1846,U_1849) ),
inference(clausify,[status(thm)],[f_556_4]) ).
cnf(f_556_7,plain,
( m2_subset_1(U_1849,U_1847,U_1846)
| ~ m1_subset_1(U_1849,U_1846)
| ~ sP194(U_1847,U_1848,U_1846,U_1849) ),
inference(clausify,[status(thm)],[f_556_4]) ).
fof(f_557_1,plain,
! [A,B] :
( r1_subset_1(B,A)
| ~ r1_subset_1(A,B)
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r1_subset_1]) ).
fof(f_557_2,plain,
! [U_1851,U_1850] :
( r1_subset_1(U_1850,U_1851)
| ~ r1_subset_1(U_1851,U_1850)
| v1_xboole_0(U_1850)
| v1_xboole_0(U_1851) ),
inference(variable_rename,[status(thm)],[f_557_1]) ).
fof(f_557_3,plain,
! [U_1850,U_1851] :
( r1_subset_1(U_1850,U_1851)
| ~ r1_subset_1(U_1851,U_1850)
| v1_xboole_0(U_1850)
| v1_xboole_0(U_1851) ),
inference(definitional_conversion,[status(esa)],[f_557_2]) ).
cnf(f_557_4,plain,
( r1_subset_1(U_1850,U_1851)
| ~ r1_subset_1(U_1851,U_1850)
| v1_xboole_0(U_1850)
| v1_xboole_0(U_1851) ),
inference(clausify,[status(thm)],[f_557_3]) ).
fof(f_558_1,plain,
! [A,B] :
( ~ r1_subset_1(A,A)
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[irreflexivity_r1_subset_1]) ).
fof(f_558_2,plain,
! [U_1853,U_1852] :
( ~ r1_subset_1(U_1853,U_1853)
| v1_xboole_0(U_1852)
| v1_xboole_0(U_1853) ),
inference(variable_rename,[status(thm)],[f_558_1]) ).
fof(f_558_3,plain,
! [U_1853] :
( ! [U_1852] : v1_xboole_0(U_1852)
| v1_xboole_0(U_1853)
| ~ r1_subset_1(U_1853,U_1853) ),
inference(miniscope,[status(thm)],[f_558_2]) ).
fof(f_558_4,plain,
! [U_1853,U_1852] :
( v1_xboole_0(U_1852)
| v1_xboole_0(U_1853)
| ~ r1_subset_1(U_1853,U_1853) ),
inference(definitional_conversion,[status(esa)],[f_558_3]) ).
cnf(f_558_5,plain,
( v1_xboole_0(U_1852)
| v1_xboole_0(U_1853)
| ~ r1_subset_1(U_1853,U_1853) ),
inference(clausify,[status(thm)],[f_558_4]) ).
fof(f_559_1,plain,
! [A,B] :
( ( ( r1_subset_1(A,B)
| ~ r1_xboole_0(A,B) )
& ( r1_xboole_0(A,B)
| ~ r1_subset_1(A,B) ) )
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_r1_subset_1]) ).
fof(f_559_2,plain,
! [U_1855,U_1854] :
( ( ( r1_subset_1(U_1855,U_1854)
| ~ r1_xboole_0(U_1855,U_1854) )
& ( r1_xboole_0(U_1855,U_1854)
| ~ r1_subset_1(U_1855,U_1854) ) )
| v1_xboole_0(U_1854)
| v1_xboole_0(U_1855) ),
inference(variable_rename,[status(thm)],[f_559_1]) ).
fof(f_559_3,plain,
( ! [U_1854,U_1855] :
( r1_subset_1(U_1855,U_1854)
| ~ r1_xboole_0(U_1855,U_1854)
| ~ sP195(U_1854,U_1855) )
& ! [U_1854,U_1855] :
( r1_xboole_0(U_1855,U_1854)
| ~ r1_subset_1(U_1855,U_1854)
| ~ sP195(U_1854,U_1855) )
& ! [U_1854,U_1855] :
( sP195(U_1854,U_1855)
| v1_xboole_0(U_1854)
| v1_xboole_0(U_1855) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP195])],[f_559_2]) ).
cnf(f_559_4,plain,
( sP195(U_1854,U_1855)
| v1_xboole_0(U_1854)
| v1_xboole_0(U_1855) ),
inference(clausify,[status(thm)],[f_559_3]) ).
cnf(f_559_5,plain,
( r1_xboole_0(U_1855,U_1854)
| ~ r1_subset_1(U_1855,U_1854)
| ~ sP195(U_1854,U_1855) ),
inference(clausify,[status(thm)],[f_559_3]) ).
cnf(f_559_6,plain,
( r1_subset_1(U_1855,U_1854)
| ~ r1_xboole_0(U_1855,U_1854)
| ~ sP195(U_1854,U_1855) ),
inference(clausify,[status(thm)],[f_559_3]) ).
fof(f_560_1,plain,
! [A,B] :
( r2_subset_1(B,A)
| ~ r2_subset_1(A,B)
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r2_subset_1]) ).
fof(f_560_2,plain,
! [U_1857,U_1856] :
( r2_subset_1(U_1856,U_1857)
| ~ r2_subset_1(U_1857,U_1856)
| v1_xboole_0(U_1856)
| v1_xboole_0(U_1857) ),
inference(variable_rename,[status(thm)],[f_560_1]) ).
fof(f_560_3,plain,
! [U_1857,U_1856] :
( r2_subset_1(U_1856,U_1857)
| ~ r2_subset_1(U_1857,U_1856)
| v1_xboole_0(U_1856)
| v1_xboole_0(U_1857) ),
inference(definitional_conversion,[status(esa)],[f_560_2]) ).
cnf(f_560_4,plain,
( r2_subset_1(U_1856,U_1857)
| ~ r2_subset_1(U_1857,U_1856)
| v1_xboole_0(U_1856)
| v1_xboole_0(U_1857) ),
inference(clausify,[status(thm)],[f_560_3]) ).
fof(f_561_1,plain,
! [A,B] :
( ~ r2_subset_1(A,A)
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[irreflexivity_r2_subset_1]) ).
fof(f_561_2,plain,
! [U_1859,U_1858] :
( ~ r2_subset_1(U_1859,U_1859)
| v1_xboole_0(U_1858)
| v1_xboole_0(U_1859) ),
inference(variable_rename,[status(thm)],[f_561_1]) ).
fof(f_561_3,plain,
! [U_1859] :
( ! [U_1858] : v1_xboole_0(U_1858)
| v1_xboole_0(U_1859)
| ~ r2_subset_1(U_1859,U_1859) ),
inference(miniscope,[status(thm)],[f_561_2]) ).
fof(f_561_4,plain,
! [U_1858,U_1859] :
( v1_xboole_0(U_1858)
| v1_xboole_0(U_1859)
| ~ r2_subset_1(U_1859,U_1859) ),
inference(definitional_conversion,[status(esa)],[f_561_3]) ).
cnf(f_561_5,plain,
( v1_xboole_0(U_1858)
| v1_xboole_0(U_1859)
| ~ r2_subset_1(U_1859,U_1859) ),
inference(clausify,[status(thm)],[f_561_4]) ).
fof(f_562_1,plain,
! [A,B] :
( ( ( r2_subset_1(A,B)
| ~ r1_xboole_0(A,B) )
& ( r1_xboole_0(A,B)
| ~ r2_subset_1(A,B) ) )
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_r2_subset_1]) ).
fof(f_562_2,plain,
! [U_1861,U_1860] :
( ( ( r2_subset_1(U_1861,U_1860)
| ~ r1_xboole_0(U_1861,U_1860) )
& ( r1_xboole_0(U_1861,U_1860)
| ~ r2_subset_1(U_1861,U_1860) ) )
| v1_xboole_0(U_1860)
| v1_xboole_0(U_1861) ),
inference(variable_rename,[status(thm)],[f_562_1]) ).
fof(f_562_3,plain,
( ! [U_1861,U_1860] :
( r2_subset_1(U_1861,U_1860)
| ~ r1_xboole_0(U_1861,U_1860)
| ~ sP196(U_1861,U_1860) )
& ! [U_1861,U_1860] :
( r1_xboole_0(U_1861,U_1860)
| ~ r2_subset_1(U_1861,U_1860)
| ~ sP196(U_1861,U_1860) )
& ! [U_1861,U_1860] :
( sP196(U_1861,U_1860)
| v1_xboole_0(U_1860)
| v1_xboole_0(U_1861) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP196])],[f_562_2]) ).
cnf(f_562_4,plain,
( sP196(U_1861,U_1860)
| v1_xboole_0(U_1860)
| v1_xboole_0(U_1861) ),
inference(clausify,[status(thm)],[f_562_3]) ).
cnf(f_562_5,plain,
( r1_xboole_0(U_1861,U_1860)
| ~ r2_subset_1(U_1861,U_1860)
| ~ sP196(U_1861,U_1860) ),
inference(clausify,[status(thm)],[f_562_3]) ).
cnf(f_562_6,plain,
( r2_subset_1(U_1861,U_1860)
| ~ r1_xboole_0(U_1861,U_1860)
| ~ sP196(U_1861,U_1860) ),
inference(clausify,[status(thm)],[f_562_3]) ).
fof(f_563_1,plain,
! [A] :
( m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A))
& v1_xboole_0(k1_subset_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k1_subset_1]) ).
fof(f_563_2,plain,
! [U_1862] :
( m1_subset_1(k1_subset_1(U_1862),k1_zfmisc_1(U_1862))
& v1_xboole_0(k1_subset_1(U_1862)) ),
inference(variable_rename,[status(thm)],[f_563_1]) ).
fof(f_563_3,plain,
( ! [U_1864] : m1_subset_1(k1_subset_1(U_1864),k1_zfmisc_1(U_1864))
& ! [U_1863] : v1_xboole_0(k1_subset_1(U_1863)) ),
inference(miniscope,[status(thm)],[f_563_2]) ).
fof(f_563_4,plain,
( ! [U_1864] : m1_subset_1(k1_subset_1(U_1864),k1_zfmisc_1(U_1864))
& ! [U_1863] : v1_xboole_0(k1_subset_1(U_1863)) ),
inference(definitional_conversion,[status(esa)],[f_563_3]) ).
cnf(f_563_5,plain,
v1_xboole_0(k1_subset_1(U_1863)),
inference(clausify,[status(thm)],[f_563_4]) ).
cnf(f_563_6,plain,
m1_subset_1(k1_subset_1(U_1864),k1_zfmisc_1(U_1864)),
inference(clausify,[status(thm)],[f_563_4]) ).
fof(f_564_1,plain,
! [A] : m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[dt_k2_subset_1]) ).
fof(f_564_2,plain,
! [U_1865] : m1_subset_1(k2_subset_1(U_1865),k1_zfmisc_1(U_1865)),
inference(variable_rename,[status(thm)],[f_564_1]) ).
fof(f_564_3,plain,
! [U_1865] : m1_subset_1(k2_subset_1(U_1865),k1_zfmisc_1(U_1865)),
inference(definitional_conversion,[status(esa)],[f_564_2]) ).
cnf(f_564_4,plain,
m1_subset_1(k2_subset_1(U_1865),k1_zfmisc_1(U_1865)),
inference(clausify,[status(thm)],[f_564_3]) ).
fof(f_565_1,plain,
! [A,B] :
( m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k3_subset_1]) ).
fof(f_565_2,plain,
! [U_1867,U_1866] :
( m1_subset_1(k3_subset_1(U_1867,U_1866),k1_zfmisc_1(U_1867))
| ~ m1_subset_1(U_1866,k1_zfmisc_1(U_1867)) ),
inference(variable_rename,[status(thm)],[f_565_1]) ).
fof(f_565_3,plain,
! [U_1866,U_1867] :
( m1_subset_1(k3_subset_1(U_1867,U_1866),k1_zfmisc_1(U_1867))
| ~ m1_subset_1(U_1866,k1_zfmisc_1(U_1867)) ),
inference(definitional_conversion,[status(esa)],[f_565_2]) ).
cnf(f_565_4,plain,
( m1_subset_1(k3_subset_1(U_1867,U_1866),k1_zfmisc_1(U_1867))
| ~ m1_subset_1(U_1866,k1_zfmisc_1(U_1867)) ),
inference(clausify,[status(thm)],[f_565_3]) ).
fof(f_566_1,plain,
! [A,B] :
( k3_subset_1(A,k3_subset_1(A,B)) = B
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1]) ).
fof(f_566_2,plain,
! [U_1869,U_1868] :
( k3_subset_1(U_1869,k3_subset_1(U_1869,U_1868)) = U_1868
| ~ m1_subset_1(U_1868,k1_zfmisc_1(U_1869)) ),
inference(variable_rename,[status(thm)],[f_566_1]) ).
fof(f_566_3,plain,
! [U_1868,U_1869] :
( k3_subset_1(U_1869,k3_subset_1(U_1869,U_1868)) = U_1868
| ~ m1_subset_1(U_1868,k1_zfmisc_1(U_1869)) ),
inference(definitional_conversion,[status(esa)],[f_566_2]) ).
cnf(f_566_4,plain,
( k3_subset_1(U_1869,k3_subset_1(U_1869,U_1868)) = U_1868
| ~ m1_subset_1(U_1868,k1_zfmisc_1(U_1869)) ),
inference(clausify,[status(thm)],[f_566_3]) ).
fof(f_567_1,plain,
! [A,B,C] :
( m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k4_subset_1]) ).
fof(f_567_2,plain,
! [U_1872,U_1871,U_1870] :
( m1_subset_1(k4_subset_1(U_1872,U_1871,U_1870),k1_zfmisc_1(U_1872))
| ~ m1_subset_1(U_1870,k1_zfmisc_1(U_1872))
| ~ m1_subset_1(U_1871,k1_zfmisc_1(U_1872)) ),
inference(variable_rename,[status(thm)],[f_567_1]) ).
fof(f_567_3,plain,
! [U_1872,U_1870,U_1871] :
( m1_subset_1(k4_subset_1(U_1872,U_1871,U_1870),k1_zfmisc_1(U_1872))
| ~ m1_subset_1(U_1870,k1_zfmisc_1(U_1872))
| ~ m1_subset_1(U_1871,k1_zfmisc_1(U_1872)) ),
inference(definitional_conversion,[status(esa)],[f_567_2]) ).
cnf(f_567_4,plain,
( m1_subset_1(k4_subset_1(U_1872,U_1871,U_1870),k1_zfmisc_1(U_1872))
| ~ m1_subset_1(U_1870,k1_zfmisc_1(U_1872))
| ~ m1_subset_1(U_1871,k1_zfmisc_1(U_1872)) ),
inference(clausify,[status(thm)],[f_567_3]) ).
fof(f_568_1,plain,
! [A,B,C] :
( k4_subset_1(A,B,C) = k4_subset_1(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[commutativity_k4_subset_1]) ).
fof(f_568_2,plain,
! [U_1875,U_1874,U_1873] :
( k4_subset_1(U_1875,U_1874,U_1873) = k4_subset_1(U_1875,U_1873,U_1874)
| ~ m1_subset_1(U_1873,k1_zfmisc_1(U_1875))
| ~ m1_subset_1(U_1874,k1_zfmisc_1(U_1875)) ),
inference(variable_rename,[status(thm)],[f_568_1]) ).
fof(f_568_3,plain,
! [U_1875,U_1874,U_1873] :
( k4_subset_1(U_1875,U_1874,U_1873) = k4_subset_1(U_1875,U_1873,U_1874)
| ~ m1_subset_1(U_1873,k1_zfmisc_1(U_1875))
| ~ m1_subset_1(U_1874,k1_zfmisc_1(U_1875)) ),
inference(definitional_conversion,[status(esa)],[f_568_2]) ).
cnf(f_568_4,plain,
( k4_subset_1(U_1875,U_1874,U_1873) = k4_subset_1(U_1875,U_1873,U_1874)
| ~ m1_subset_1(U_1873,k1_zfmisc_1(U_1875))
| ~ m1_subset_1(U_1874,k1_zfmisc_1(U_1875)) ),
inference(clausify,[status(thm)],[f_568_3]) ).
fof(f_569_1,plain,
! [A,B,C] :
( k4_subset_1(A,B,B) = B
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[idempotence_k4_subset_1]) ).
fof(f_569_2,plain,
! [U_1878,U_1877,U_1876] :
( k4_subset_1(U_1878,U_1877,U_1877) = U_1877
| ~ m1_subset_1(U_1876,k1_zfmisc_1(U_1878))
| ~ m1_subset_1(U_1877,k1_zfmisc_1(U_1878)) ),
inference(variable_rename,[status(thm)],[f_569_1]) ).
fof(f_569_3,plain,
! [U_1878,U_1877] :
( ! [U_1876] : ~ m1_subset_1(U_1876,k1_zfmisc_1(U_1878))
| ~ m1_subset_1(U_1877,k1_zfmisc_1(U_1878))
| k4_subset_1(U_1878,U_1877,U_1877) = U_1877 ),
inference(miniscope,[status(thm)],[f_569_2]) ).
fof(f_569_4,plain,
! [U_1878,U_1876,U_1877] :
( ~ m1_subset_1(U_1876,k1_zfmisc_1(U_1878))
| ~ m1_subset_1(U_1877,k1_zfmisc_1(U_1878))
| k4_subset_1(U_1878,U_1877,U_1877) = U_1877 ),
inference(definitional_conversion,[status(esa)],[f_569_3]) ).
cnf(f_569_5,plain,
( ~ m1_subset_1(U_1876,k1_zfmisc_1(U_1878))
| ~ m1_subset_1(U_1877,k1_zfmisc_1(U_1878))
| k4_subset_1(U_1878,U_1877,U_1877) = U_1877 ),
inference(clausify,[status(thm)],[f_569_4]) ).
fof(f_570_1,plain,
! [A,B,C] :
( k4_subset_1(A,B,C) = k2_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1]) ).
fof(f_570_2,plain,
! [U_1881,U_1880,U_1879] :
( k4_subset_1(U_1881,U_1880,U_1879) = k2_xboole_0(U_1880,U_1879)
| ~ m1_subset_1(U_1879,k1_zfmisc_1(U_1881))
| ~ m1_subset_1(U_1880,k1_zfmisc_1(U_1881)) ),
inference(variable_rename,[status(thm)],[f_570_1]) ).
fof(f_570_3,plain,
! [U_1881,U_1879,U_1880] :
( k4_subset_1(U_1881,U_1880,U_1879) = k2_xboole_0(U_1880,U_1879)
| ~ m1_subset_1(U_1879,k1_zfmisc_1(U_1881))
| ~ m1_subset_1(U_1880,k1_zfmisc_1(U_1881)) ),
inference(definitional_conversion,[status(esa)],[f_570_2]) ).
cnf(f_570_4,plain,
( k4_subset_1(U_1881,U_1880,U_1879) = k2_xboole_0(U_1880,U_1879)
| ~ m1_subset_1(U_1879,k1_zfmisc_1(U_1881))
| ~ m1_subset_1(U_1880,k1_zfmisc_1(U_1881)) ),
inference(clausify,[status(thm)],[f_570_3]) ).
fof(f_571_1,plain,
! [A,B,C] :
( m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k5_subset_1]) ).
fof(f_571_2,plain,
! [U_1884,U_1883,U_1882] :
( m1_subset_1(k5_subset_1(U_1884,U_1883,U_1882),k1_zfmisc_1(U_1884))
| ~ m1_subset_1(U_1882,k1_zfmisc_1(U_1884))
| ~ m1_subset_1(U_1883,k1_zfmisc_1(U_1884)) ),
inference(variable_rename,[status(thm)],[f_571_1]) ).
fof(f_571_3,plain,
! [U_1883,U_1882,U_1884] :
( m1_subset_1(k5_subset_1(U_1884,U_1883,U_1882),k1_zfmisc_1(U_1884))
| ~ m1_subset_1(U_1882,k1_zfmisc_1(U_1884))
| ~ m1_subset_1(U_1883,k1_zfmisc_1(U_1884)) ),
inference(definitional_conversion,[status(esa)],[f_571_2]) ).
cnf(f_571_4,plain,
( m1_subset_1(k5_subset_1(U_1884,U_1883,U_1882),k1_zfmisc_1(U_1884))
| ~ m1_subset_1(U_1882,k1_zfmisc_1(U_1884))
| ~ m1_subset_1(U_1883,k1_zfmisc_1(U_1884)) ),
inference(clausify,[status(thm)],[f_571_3]) ).
fof(f_572_1,plain,
! [A,B,C] :
( k5_subset_1(A,B,C) = k5_subset_1(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1]) ).
fof(f_572_2,plain,
! [U_1887,U_1886,U_1885] :
( k5_subset_1(U_1887,U_1886,U_1885) = k5_subset_1(U_1887,U_1885,U_1886)
| ~ m1_subset_1(U_1885,k1_zfmisc_1(U_1887))
| ~ m1_subset_1(U_1886,k1_zfmisc_1(U_1887)) ),
inference(variable_rename,[status(thm)],[f_572_1]) ).
fof(f_572_3,plain,
! [U_1887,U_1886,U_1885] :
( k5_subset_1(U_1887,U_1886,U_1885) = k5_subset_1(U_1887,U_1885,U_1886)
| ~ m1_subset_1(U_1885,k1_zfmisc_1(U_1887))
| ~ m1_subset_1(U_1886,k1_zfmisc_1(U_1887)) ),
inference(definitional_conversion,[status(esa)],[f_572_2]) ).
cnf(f_572_4,plain,
( k5_subset_1(U_1887,U_1886,U_1885) = k5_subset_1(U_1887,U_1885,U_1886)
| ~ m1_subset_1(U_1885,k1_zfmisc_1(U_1887))
| ~ m1_subset_1(U_1886,k1_zfmisc_1(U_1887)) ),
inference(clausify,[status(thm)],[f_572_3]) ).
fof(f_573_1,plain,
! [A,B,C] :
( k5_subset_1(A,B,B) = B
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[idempotence_k5_subset_1]) ).
fof(f_573_2,plain,
! [U_1890,U_1889,U_1888] :
( k5_subset_1(U_1890,U_1889,U_1889) = U_1889
| ~ m1_subset_1(U_1888,k1_zfmisc_1(U_1890))
| ~ m1_subset_1(U_1889,k1_zfmisc_1(U_1890)) ),
inference(variable_rename,[status(thm)],[f_573_1]) ).
fof(f_573_3,plain,
! [U_1890,U_1889] :
( ! [U_1888] : ~ m1_subset_1(U_1888,k1_zfmisc_1(U_1890))
| ~ m1_subset_1(U_1889,k1_zfmisc_1(U_1890))
| k5_subset_1(U_1890,U_1889,U_1889) = U_1889 ),
inference(miniscope,[status(thm)],[f_573_2]) ).
fof(f_573_4,plain,
! [U_1890,U_1888,U_1889] :
( ~ m1_subset_1(U_1888,k1_zfmisc_1(U_1890))
| ~ m1_subset_1(U_1889,k1_zfmisc_1(U_1890))
| k5_subset_1(U_1890,U_1889,U_1889) = U_1889 ),
inference(definitional_conversion,[status(esa)],[f_573_3]) ).
cnf(f_573_5,plain,
( ~ m1_subset_1(U_1888,k1_zfmisc_1(U_1890))
| ~ m1_subset_1(U_1889,k1_zfmisc_1(U_1890))
| k5_subset_1(U_1890,U_1889,U_1889) = U_1889 ),
inference(clausify,[status(thm)],[f_573_4]) ).
fof(f_574_1,plain,
! [A,B,C] :
( k5_subset_1(A,B,C) = k3_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1]) ).
fof(f_574_2,plain,
! [U_1893,U_1892,U_1891] :
( k5_subset_1(U_1893,U_1892,U_1891) = k3_xboole_0(U_1892,U_1891)
| ~ m1_subset_1(U_1891,k1_zfmisc_1(U_1893))
| ~ m1_subset_1(U_1892,k1_zfmisc_1(U_1893)) ),
inference(variable_rename,[status(thm)],[f_574_1]) ).
fof(f_574_3,plain,
! [U_1892,U_1893,U_1891] :
( k5_subset_1(U_1893,U_1892,U_1891) = k3_xboole_0(U_1892,U_1891)
| ~ m1_subset_1(U_1891,k1_zfmisc_1(U_1893))
| ~ m1_subset_1(U_1892,k1_zfmisc_1(U_1893)) ),
inference(definitional_conversion,[status(esa)],[f_574_2]) ).
cnf(f_574_4,plain,
( k5_subset_1(U_1893,U_1892,U_1891) = k3_xboole_0(U_1892,U_1891)
| ~ m1_subset_1(U_1891,k1_zfmisc_1(U_1893))
| ~ m1_subset_1(U_1892,k1_zfmisc_1(U_1893)) ),
inference(clausify,[status(thm)],[f_574_3]) ).
fof(f_575_1,plain,
! [A,B,C] :
( m1_subset_1(k6_subset_1(A,B,C),k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k6_subset_1]) ).
fof(f_575_2,plain,
! [U_1896,U_1895,U_1894] :
( m1_subset_1(k6_subset_1(U_1896,U_1895,U_1894),k1_zfmisc_1(U_1896))
| ~ m1_subset_1(U_1894,k1_zfmisc_1(U_1896))
| ~ m1_subset_1(U_1895,k1_zfmisc_1(U_1896)) ),
inference(variable_rename,[status(thm)],[f_575_1]) ).
fof(f_575_3,plain,
! [U_1895,U_1896,U_1894] :
( m1_subset_1(k6_subset_1(U_1896,U_1895,U_1894),k1_zfmisc_1(U_1896))
| ~ m1_subset_1(U_1894,k1_zfmisc_1(U_1896))
| ~ m1_subset_1(U_1895,k1_zfmisc_1(U_1896)) ),
inference(definitional_conversion,[status(esa)],[f_575_2]) ).
cnf(f_575_4,plain,
( m1_subset_1(k6_subset_1(U_1896,U_1895,U_1894),k1_zfmisc_1(U_1896))
| ~ m1_subset_1(U_1894,k1_zfmisc_1(U_1896))
| ~ m1_subset_1(U_1895,k1_zfmisc_1(U_1896)) ),
inference(clausify,[status(thm)],[f_575_3]) ).
fof(f_576_1,plain,
! [A,B,C] :
( k6_subset_1(A,B,C) = k4_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[redefinition_k6_subset_1]) ).
fof(f_576_2,plain,
! [U_1899,U_1898,U_1897] :
( k6_subset_1(U_1899,U_1898,U_1897) = k4_xboole_0(U_1898,U_1897)
| ~ m1_subset_1(U_1897,k1_zfmisc_1(U_1899))
| ~ m1_subset_1(U_1898,k1_zfmisc_1(U_1899)) ),
inference(variable_rename,[status(thm)],[f_576_1]) ).
fof(f_576_3,plain,
! [U_1897,U_1898,U_1899] :
( k6_subset_1(U_1899,U_1898,U_1897) = k4_xboole_0(U_1898,U_1897)
| ~ m1_subset_1(U_1897,k1_zfmisc_1(U_1899))
| ~ m1_subset_1(U_1898,k1_zfmisc_1(U_1899)) ),
inference(definitional_conversion,[status(esa)],[f_576_2]) ).
cnf(f_576_4,plain,
( k6_subset_1(U_1899,U_1898,U_1897) = k4_xboole_0(U_1898,U_1897)
| ~ m1_subset_1(U_1897,k1_zfmisc_1(U_1899))
| ~ m1_subset_1(U_1898,k1_zfmisc_1(U_1899)) ),
inference(clausify,[status(thm)],[f_576_3]) ).
fof(f_577_1,plain,
! [A,B,C] :
( m1_subset_1(k7_subset_1(A,B,C),k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k7_subset_1]) ).
fof(f_577_2,plain,
! [U_1902,U_1901,U_1900] :
( m1_subset_1(k7_subset_1(U_1902,U_1901,U_1900),k1_zfmisc_1(U_1902))
| ~ m1_subset_1(U_1900,k1_zfmisc_1(U_1902))
| ~ m1_subset_1(U_1901,k1_zfmisc_1(U_1902)) ),
inference(variable_rename,[status(thm)],[f_577_1]) ).
fof(f_577_3,plain,
! [U_1900,U_1901,U_1902] :
( m1_subset_1(k7_subset_1(U_1902,U_1901,U_1900),k1_zfmisc_1(U_1902))
| ~ m1_subset_1(U_1900,k1_zfmisc_1(U_1902))
| ~ m1_subset_1(U_1901,k1_zfmisc_1(U_1902)) ),
inference(definitional_conversion,[status(esa)],[f_577_2]) ).
cnf(f_577_4,plain,
( m1_subset_1(k7_subset_1(U_1902,U_1901,U_1900),k1_zfmisc_1(U_1902))
| ~ m1_subset_1(U_1900,k1_zfmisc_1(U_1902))
| ~ m1_subset_1(U_1901,k1_zfmisc_1(U_1902)) ),
inference(clausify,[status(thm)],[f_577_3]) ).
fof(f_578_1,plain,
! [A,B,C] :
( k7_subset_1(A,B,C) = k7_subset_1(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[commutativity_k7_subset_1]) ).
fof(f_578_2,plain,
! [U_1905,U_1904,U_1903] :
( k7_subset_1(U_1905,U_1904,U_1903) = k7_subset_1(U_1905,U_1903,U_1904)
| ~ m1_subset_1(U_1903,k1_zfmisc_1(U_1905))
| ~ m1_subset_1(U_1904,k1_zfmisc_1(U_1905)) ),
inference(variable_rename,[status(thm)],[f_578_1]) ).
fof(f_578_3,plain,
! [U_1904,U_1905,U_1903] :
( k7_subset_1(U_1905,U_1904,U_1903) = k7_subset_1(U_1905,U_1903,U_1904)
| ~ m1_subset_1(U_1903,k1_zfmisc_1(U_1905))
| ~ m1_subset_1(U_1904,k1_zfmisc_1(U_1905)) ),
inference(definitional_conversion,[status(esa)],[f_578_2]) ).
cnf(f_578_4,plain,
( k7_subset_1(U_1905,U_1904,U_1903) = k7_subset_1(U_1905,U_1903,U_1904)
| ~ m1_subset_1(U_1903,k1_zfmisc_1(U_1905))
| ~ m1_subset_1(U_1904,k1_zfmisc_1(U_1905)) ),
inference(clausify,[status(thm)],[f_578_3]) ).
fof(f_579_1,plain,
! [A,B,C] :
( k7_subset_1(A,B,C) = k5_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[redefinition_k7_subset_1]) ).
fof(f_579_2,plain,
! [U_1908,U_1907,U_1906] :
( k7_subset_1(U_1908,U_1907,U_1906) = k5_xboole_0(U_1907,U_1906)
| ~ m1_subset_1(U_1906,k1_zfmisc_1(U_1908))
| ~ m1_subset_1(U_1907,k1_zfmisc_1(U_1908)) ),
inference(variable_rename,[status(thm)],[f_579_1]) ).
fof(f_579_3,plain,
! [U_1906,U_1907,U_1908] :
( k7_subset_1(U_1908,U_1907,U_1906) = k5_xboole_0(U_1907,U_1906)
| ~ m1_subset_1(U_1906,k1_zfmisc_1(U_1908))
| ~ m1_subset_1(U_1907,k1_zfmisc_1(U_1908)) ),
inference(definitional_conversion,[status(esa)],[f_579_2]) ).
cnf(f_579_4,plain,
( k7_subset_1(U_1908,U_1907,U_1906) = k5_xboole_0(U_1907,U_1906)
| ~ m1_subset_1(U_1906,k1_zfmisc_1(U_1908))
| ~ m1_subset_1(U_1907,k1_zfmisc_1(U_1908)) ),
inference(clausify,[status(thm)],[f_579_3]) ).
fof(f_580_1,plain,
! [A] : m1_subset_1(k8_subset_1(A),A),
inference(fof_nnf,[status(thm)],[dt_k8_subset_1]) ).
fof(f_580_2,plain,
! [U_1909] : m1_subset_1(k8_subset_1(U_1909),U_1909),
inference(variable_rename,[status(thm)],[f_580_1]) ).
fof(f_580_3,plain,
! [U_1909] : m1_subset_1(k8_subset_1(U_1909),U_1909),
inference(definitional_conversion,[status(esa)],[f_580_2]) ).
cnf(f_580_4,plain,
m1_subset_1(k8_subset_1(U_1909),U_1909),
inference(clausify,[status(thm)],[f_580_3]) ).
fof(f_581_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_581_2,plain,
! [U_1911,U_1910] :
( m1_subset_1(U_1911,U_1910)
| ~ r2_hidden(U_1911,U_1910) ),
inference(variable_rename,[status(thm)],[f_581_1]) ).
fof(f_581_3,plain,
! [U_1911,U_1910] :
( m1_subset_1(U_1911,U_1910)
| ~ r2_hidden(U_1911,U_1910) ),
inference(definitional_conversion,[status(esa)],[f_581_2]) ).
cnf(f_581_4,plain,
( m1_subset_1(U_1911,U_1910)
| ~ r2_hidden(U_1911,U_1910) ),
inference(clausify,[status(thm)],[f_581_3]) ).
fof(f_582_1,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(fof_nnf,[status(thm)],[t2_subset]) ).
fof(f_582_2,plain,
! [U_1913,U_1912] :
( r2_hidden(U_1913,U_1912)
| v1_xboole_0(U_1912)
| ~ m1_subset_1(U_1913,U_1912) ),
inference(variable_rename,[status(thm)],[f_582_1]) ).
fof(f_582_3,plain,
! [U_1913,U_1912] :
( r2_hidden(U_1913,U_1912)
| v1_xboole_0(U_1912)
| ~ m1_subset_1(U_1913,U_1912) ),
inference(definitional_conversion,[status(esa)],[f_582_2]) ).
cnf(f_582_4,plain,
( r2_hidden(U_1913,U_1912)
| v1_xboole_0(U_1912)
| ~ m1_subset_1(U_1913,U_1912) ),
inference(clausify,[status(thm)],[f_582_3]) ).
fof(f_583_1,plain,
! [A,B] :
( ( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) )
& ( r1_tarski(A,B)
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ) ),
inference(fof_nnf,[status(thm)],[t3_subset]) ).
fof(f_583_2,plain,
! [U_1915,U_1914] :
( ( m1_subset_1(U_1915,k1_zfmisc_1(U_1914))
| ~ r1_tarski(U_1915,U_1914) )
& ( r1_tarski(U_1915,U_1914)
| ~ m1_subset_1(U_1915,k1_zfmisc_1(U_1914)) ) ),
inference(variable_rename,[status(thm)],[f_583_1]) ).
fof(f_583_3,plain,
( ! [U_1919,U_1917] :
( m1_subset_1(U_1919,k1_zfmisc_1(U_1917))
| ~ r1_tarski(U_1919,U_1917) )
& ! [U_1918,U_1916] :
( r1_tarski(U_1918,U_1916)
| ~ m1_subset_1(U_1918,k1_zfmisc_1(U_1916)) ) ),
inference(miniscope,[status(thm)],[f_583_2]) ).
fof(f_583_4,plain,
( ! [U_1919,U_1917] :
( m1_subset_1(U_1919,k1_zfmisc_1(U_1917))
| ~ r1_tarski(U_1919,U_1917) )
& ! [U_1916,U_1918] :
( r1_tarski(U_1918,U_1916)
| ~ m1_subset_1(U_1918,k1_zfmisc_1(U_1916)) ) ),
inference(definitional_conversion,[status(esa)],[f_583_3]) ).
cnf(f_583_5,plain,
( r1_tarski(U_1918,U_1916)
| ~ m1_subset_1(U_1918,k1_zfmisc_1(U_1916)) ),
inference(clausify,[status(thm)],[f_583_4]) ).
cnf(f_583_6,plain,
( m1_subset_1(U_1919,k1_zfmisc_1(U_1917))
| ~ r1_tarski(U_1919,U_1917) ),
inference(clausify,[status(thm)],[f_583_4]) ).
fof(f_584_1,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t4_subset]) ).
fof(f_584_2,plain,
! [U_1922,U_1921,U_1920] :
( m1_subset_1(U_1922,U_1920)
| ~ m1_subset_1(U_1921,k1_zfmisc_1(U_1920))
| ~ r2_hidden(U_1922,U_1921) ),
inference(variable_rename,[status(thm)],[f_584_1]) ).
fof(f_584_3,plain,
! [U_1921,U_1920,U_1922] :
( m1_subset_1(U_1922,U_1920)
| ~ m1_subset_1(U_1921,k1_zfmisc_1(U_1920))
| ~ r2_hidden(U_1922,U_1921) ),
inference(definitional_conversion,[status(esa)],[f_584_2]) ).
cnf(f_584_4,plain,
( m1_subset_1(U_1922,U_1920)
| ~ m1_subset_1(U_1921,k1_zfmisc_1(U_1920))
| ~ r2_hidden(U_1922,U_1921) ),
inference(clausify,[status(thm)],[f_584_3]) ).
fof(f_585_1,plain,
! [A,B,C] :
( ~ v1_xboole_0(C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t5_subset]) ).
fof(f_585_2,plain,
! [U_1925,U_1924,U_1923] :
( ~ v1_xboole_0(U_1923)
| ~ m1_subset_1(U_1924,k1_zfmisc_1(U_1923))
| ~ r2_hidden(U_1925,U_1924) ),
inference(variable_rename,[status(thm)],[f_585_1]) ).
fof(f_585_3,plain,
! [U_1925,U_1924] :
( ! [U_1923] :
( ~ v1_xboole_0(U_1923)
| ~ m1_subset_1(U_1924,k1_zfmisc_1(U_1923)) )
| ~ r2_hidden(U_1925,U_1924) ),
inference(miniscope,[status(thm)],[f_585_2]) ).
fof(f_585_4,plain,
! [U_1923,U_1924,U_1925] :
( ~ v1_xboole_0(U_1923)
| ~ m1_subset_1(U_1924,k1_zfmisc_1(U_1923))
| ~ r2_hidden(U_1925,U_1924) ),
inference(definitional_conversion,[status(esa)],[f_585_3]) ).
cnf(f_585_5,plain,
( ~ v1_xboole_0(U_1923)
| ~ m1_subset_1(U_1924,k1_zfmisc_1(U_1923))
| ~ r2_hidden(U_1925,U_1924) ),
inference(clausify,[status(thm)],[f_585_4]) ).
fof(f_586_1,plain,
? [A] :
( v1_relat_1(A)
& v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_relat_1]) ).
fof(f_586_2,plain,
? [U_1926] :
( v1_relat_1(U_1926)
& v1_xboole_0(U_1926) ),
inference(variable_rename,[status(thm)],[f_586_1]) ).
fof(f_586_3,plain,
( v1_relat_1(sK126)
& v1_xboole_0(sK126) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK126]),skolemize(U_1926,sK126)],[f_586_2]) ).
fof(f_586_4,plain,
( v1_relat_1(sK126)
& v1_xboole_0(sK126) ),
inference(definitional_conversion,[status(esa)],[f_586_3]) ).
cnf(f_586_5,plain,
v1_xboole_0(sK126),
inference(clausify,[status(thm)],[f_586_4]) ).
cnf(f_586_6,plain,
v1_relat_1(sK126),
inference(clausify,[status(thm)],[f_586_4]) ).
fof(f_587_1,plain,
! [A,B] :
( v1_relat_1(k3_xboole_0(A,B))
| ~ v1_relat_1(B)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc1_relat_1]) ).
fof(f_587_2,plain,
! [U_1928,U_1927] :
( v1_relat_1(k3_xboole_0(U_1928,U_1927))
| ~ v1_relat_1(U_1927)
| ~ v1_relat_1(U_1928) ),
inference(variable_rename,[status(thm)],[f_587_1]) ).
fof(f_587_3,plain,
! [U_1928,U_1927] :
( v1_relat_1(k3_xboole_0(U_1928,U_1927))
| ~ v1_relat_1(U_1927)
| ~ v1_relat_1(U_1928) ),
inference(definitional_conversion,[status(esa)],[f_587_2]) ).
cnf(f_587_4,plain,
( v1_relat_1(k3_xboole_0(U_1928,U_1927))
| ~ v1_relat_1(U_1927)
| ~ v1_relat_1(U_1928) ),
inference(clausify,[status(thm)],[f_587_3]) ).
fof(f_588_1,plain,
! [A,B] :
( v1_relat_1(k2_xboole_0(A,B))
| ~ v1_relat_1(B)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc2_relat_1]) ).
fof(f_588_2,plain,
! [U_1930,U_1929] :
( v1_relat_1(k2_xboole_0(U_1930,U_1929))
| ~ v1_relat_1(U_1929)
| ~ v1_relat_1(U_1930) ),
inference(variable_rename,[status(thm)],[f_588_1]) ).
fof(f_588_3,plain,
! [U_1930,U_1929] :
( v1_relat_1(k2_xboole_0(U_1930,U_1929))
| ~ v1_relat_1(U_1929)
| ~ v1_relat_1(U_1930) ),
inference(definitional_conversion,[status(esa)],[f_588_2]) ).
cnf(f_588_4,plain,
( v1_relat_1(k2_xboole_0(U_1930,U_1929))
| ~ v1_relat_1(U_1929)
| ~ v1_relat_1(U_1930) ),
inference(clausify,[status(thm)],[f_588_3]) ).
fof(f_589_1,plain,
! [A,B] :
( v1_relat_1(k4_xboole_0(A,B))
| ~ v1_relat_1(B)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc3_relat_1]) ).
fof(f_589_2,plain,
! [U_1932,U_1931] :
( v1_relat_1(k4_xboole_0(U_1932,U_1931))
| ~ v1_relat_1(U_1931)
| ~ v1_relat_1(U_1932) ),
inference(variable_rename,[status(thm)],[f_589_1]) ).
fof(f_589_3,plain,
! [U_1932,U_1931] :
( v1_relat_1(k4_xboole_0(U_1932,U_1931))
| ~ v1_relat_1(U_1931)
| ~ v1_relat_1(U_1932) ),
inference(definitional_conversion,[status(esa)],[f_589_2]) ).
cnf(f_589_4,plain,
( v1_relat_1(k4_xboole_0(U_1932,U_1931))
| ~ v1_relat_1(U_1931)
| ~ v1_relat_1(U_1932) ),
inference(clausify,[status(thm)],[f_589_3]) ).
fof(f_590_1,plain,
! [A] :
( v1_relat_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_relat_1]) ).
fof(f_590_2,plain,
! [U_1933] :
( v1_relat_1(U_1933)
| ~ v1_xboole_0(U_1933) ),
inference(variable_rename,[status(thm)],[f_590_1]) ).
fof(f_590_3,plain,
! [U_1933] :
( v1_relat_1(U_1933)
| ~ v1_xboole_0(U_1933) ),
inference(definitional_conversion,[status(esa)],[f_590_2]) ).
cnf(f_590_4,plain,
( v1_relat_1(U_1933)
| ~ v1_xboole_0(U_1933) ),
inference(clausify,[status(thm)],[f_590_3]) ).
fof(f_591_1,plain,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc4_relat_1]) ).
fof(f_591_2,plain,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(definitional_conversion,[status(esa)],[f_591_1]) ).
cnf(f_591_3,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_591_2]) ).
cnf(f_591_4,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_591_2]) ).
fof(f_592_1,plain,
? [A] :
( v1_relat_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_relat_1]) ).
fof(f_592_2,plain,
? [U_1934] :
( v1_relat_1(U_1934)
& ~ v1_xboole_0(U_1934) ),
inference(variable_rename,[status(thm)],[f_592_1]) ).
fof(f_592_3,plain,
( v1_relat_1(sK127)
& ~ v1_xboole_0(sK127) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(U_1934,sK127)],[f_592_2]) ).
fof(f_592_4,plain,
( v1_relat_1(sK127)
& ~ v1_xboole_0(sK127) ),
inference(definitional_conversion,[status(esa)],[f_592_3]) ).
cnf(f_592_5,plain,
~ v1_xboole_0(sK127),
inference(clausify,[status(thm)],[f_592_4]) ).
cnf(f_592_6,plain,
v1_relat_1(sK127),
inference(clausify,[status(thm)],[f_592_4]) ).
fof(f_593_1,plain,
! [A] :
( ~ v1_xboole_0(k1_relat_1(A))
| ~ v1_relat_1(A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_relat_1]) ).
fof(f_593_2,plain,
! [U_1935] :
( ~ v1_xboole_0(k1_relat_1(U_1935))
| ~ v1_relat_1(U_1935)
| v1_xboole_0(U_1935) ),
inference(variable_rename,[status(thm)],[f_593_1]) ).
fof(f_593_3,plain,
! [U_1935] :
( ~ v1_xboole_0(k1_relat_1(U_1935))
| ~ v1_relat_1(U_1935)
| v1_xboole_0(U_1935) ),
inference(definitional_conversion,[status(esa)],[f_593_2]) ).
cnf(f_593_4,plain,
( ~ v1_xboole_0(k1_relat_1(U_1935))
| ~ v1_relat_1(U_1935)
| v1_xboole_0(U_1935) ),
inference(clausify,[status(thm)],[f_593_3]) ).
fof(f_594_1,plain,
! [A] :
( ~ v1_xboole_0(k2_relat_1(A))
| ~ v1_relat_1(A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc6_relat_1]) ).
fof(f_594_2,plain,
! [U_1936] :
( ~ v1_xboole_0(k2_relat_1(U_1936))
| ~ v1_relat_1(U_1936)
| v1_xboole_0(U_1936) ),
inference(variable_rename,[status(thm)],[f_594_1]) ).
fof(f_594_3,plain,
! [U_1936] :
( ~ v1_xboole_0(k2_relat_1(U_1936))
| ~ v1_relat_1(U_1936)
| v1_xboole_0(U_1936) ),
inference(definitional_conversion,[status(esa)],[f_594_2]) ).
cnf(f_594_4,plain,
( ~ v1_xboole_0(k2_relat_1(U_1936))
| ~ v1_relat_1(U_1936)
| v1_xboole_0(U_1936) ),
inference(clausify,[status(thm)],[f_594_3]) ).
fof(f_595_1,plain,
! [A] :
( ( v1_relat_1(k1_relat_1(A))
& v1_xboole_0(k1_relat_1(A)) )
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc7_relat_1]) ).
fof(f_595_2,plain,
! [U_1937] :
( ( v1_relat_1(k1_relat_1(U_1937))
& v1_xboole_0(k1_relat_1(U_1937)) )
| ~ v1_xboole_0(U_1937) ),
inference(variable_rename,[status(thm)],[f_595_1]) ).
fof(f_595_3,plain,
( ! [U_1937] :
( v1_relat_1(k1_relat_1(U_1937))
| ~ sP197(U_1937) )
& ! [U_1937] :
( v1_xboole_0(k1_relat_1(U_1937))
| ~ sP197(U_1937) )
& ! [U_1937] :
( sP197(U_1937)
| ~ v1_xboole_0(U_1937) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP197])],[f_595_2]) ).
cnf(f_595_4,plain,
( sP197(U_1937)
| ~ v1_xboole_0(U_1937) ),
inference(clausify,[status(thm)],[f_595_3]) ).
cnf(f_595_5,plain,
( v1_xboole_0(k1_relat_1(U_1937))
| ~ sP197(U_1937) ),
inference(clausify,[status(thm)],[f_595_3]) ).
cnf(f_595_6,plain,
( v1_relat_1(k1_relat_1(U_1937))
| ~ sP197(U_1937) ),
inference(clausify,[status(thm)],[f_595_3]) ).
fof(f_596_1,plain,
! [A] :
( ( v1_relat_1(k2_relat_1(A))
& v1_xboole_0(k2_relat_1(A)) )
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc8_relat_1]) ).
fof(f_596_2,plain,
! [U_1938] :
( ( v1_relat_1(k2_relat_1(U_1938))
& v1_xboole_0(k2_relat_1(U_1938)) )
| ~ v1_xboole_0(U_1938) ),
inference(variable_rename,[status(thm)],[f_596_1]) ).
fof(f_596_3,plain,
( ! [U_1938] :
( v1_relat_1(k2_relat_1(U_1938))
| ~ sP198(U_1938) )
& ! [U_1938] :
( v1_xboole_0(k2_relat_1(U_1938))
| ~ sP198(U_1938) )
& ! [U_1938] :
( sP198(U_1938)
| ~ v1_xboole_0(U_1938) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP198])],[f_596_2]) ).
cnf(f_596_4,plain,
( sP198(U_1938)
| ~ v1_xboole_0(U_1938) ),
inference(clausify,[status(thm)],[f_596_3]) ).
cnf(f_596_5,plain,
( v1_xboole_0(k2_relat_1(U_1938))
| ~ sP198(U_1938) ),
inference(clausify,[status(thm)],[f_596_3]) ).
cnf(f_596_6,plain,
( v1_relat_1(k2_relat_1(U_1938))
| ~ sP198(U_1938) ),
inference(clausify,[status(thm)],[f_596_3]) ).
fof(f_597_1,plain,
! [A,B] :
( ( v1_relat_1(k5_relat_1(A,B))
& v1_xboole_0(k5_relat_1(A,B)) )
| ~ v1_relat_1(B)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc9_relat_1]) ).
fof(f_597_2,plain,
! [U_1940,U_1939] :
( ( v1_relat_1(k5_relat_1(U_1940,U_1939))
& v1_xboole_0(k5_relat_1(U_1940,U_1939)) )
| ~ v1_relat_1(U_1939)
| ~ v1_xboole_0(U_1940) ),
inference(variable_rename,[status(thm)],[f_597_1]) ).
fof(f_597_3,plain,
( ! [U_1939,U_1940] :
( v1_relat_1(k5_relat_1(U_1940,U_1939))
| ~ sP199(U_1939,U_1940) )
& ! [U_1939,U_1940] :
( v1_xboole_0(k5_relat_1(U_1940,U_1939))
| ~ sP199(U_1939,U_1940) )
& ! [U_1939,U_1940] :
( sP199(U_1939,U_1940)
| ~ v1_relat_1(U_1939)
| ~ v1_xboole_0(U_1940) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP199])],[f_597_2]) ).
cnf(f_597_4,plain,
( sP199(U_1939,U_1940)
| ~ v1_relat_1(U_1939)
| ~ v1_xboole_0(U_1940) ),
inference(clausify,[status(thm)],[f_597_3]) ).
cnf(f_597_5,plain,
( v1_xboole_0(k5_relat_1(U_1940,U_1939))
| ~ sP199(U_1939,U_1940) ),
inference(clausify,[status(thm)],[f_597_3]) ).
cnf(f_597_6,plain,
( v1_relat_1(k5_relat_1(U_1940,U_1939))
| ~ sP199(U_1939,U_1940) ),
inference(clausify,[status(thm)],[f_597_3]) ).
fof(f_598_1,plain,
! [A,B] :
( ( v1_relat_1(k5_relat_1(B,A))
& v1_xboole_0(k5_relat_1(B,A)) )
| ~ v1_relat_1(B)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc10_relat_1]) ).
fof(f_598_2,plain,
! [U_1942,U_1941] :
( ( v1_relat_1(k5_relat_1(U_1941,U_1942))
& v1_xboole_0(k5_relat_1(U_1941,U_1942)) )
| ~ v1_relat_1(U_1941)
| ~ v1_xboole_0(U_1942) ),
inference(variable_rename,[status(thm)],[f_598_1]) ).
fof(f_598_3,plain,
( ! [U_1942,U_1941] :
( v1_relat_1(k5_relat_1(U_1941,U_1942))
| ~ sP200(U_1942,U_1941) )
& ! [U_1942,U_1941] :
( v1_xboole_0(k5_relat_1(U_1941,U_1942))
| ~ sP200(U_1942,U_1941) )
& ! [U_1942,U_1941] :
( sP200(U_1942,U_1941)
| ~ v1_relat_1(U_1941)
| ~ v1_xboole_0(U_1942) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP200])],[f_598_2]) ).
cnf(f_598_4,plain,
( sP200(U_1942,U_1941)
| ~ v1_relat_1(U_1941)
| ~ v1_xboole_0(U_1942) ),
inference(clausify,[status(thm)],[f_598_3]) ).
cnf(f_598_5,plain,
( v1_xboole_0(k5_relat_1(U_1941,U_1942))
| ~ sP200(U_1942,U_1941) ),
inference(clausify,[status(thm)],[f_598_3]) ).
cnf(f_598_6,plain,
( v1_relat_1(k5_relat_1(U_1941,U_1942))
| ~ sP200(U_1942,U_1941) ),
inference(clausify,[status(thm)],[f_598_3]) ).
fof(f_599_1,plain,
! [A] :
( ( v1_relat_1(k4_relat_1(A))
& v1_xboole_0(k4_relat_1(A)) )
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc11_relat_1]) ).
fof(f_599_2,plain,
! [U_1943] :
( ( v1_relat_1(k4_relat_1(U_1943))
& v1_xboole_0(k4_relat_1(U_1943)) )
| ~ v1_xboole_0(U_1943) ),
inference(variable_rename,[status(thm)],[f_599_1]) ).
fof(f_599_3,plain,
( ! [U_1943] :
( v1_relat_1(k4_relat_1(U_1943))
| ~ sP201(U_1943) )
& ! [U_1943] :
( v1_xboole_0(k4_relat_1(U_1943))
| ~ sP201(U_1943) )
& ! [U_1943] :
( sP201(U_1943)
| ~ v1_xboole_0(U_1943) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP201])],[f_599_2]) ).
cnf(f_599_4,plain,
( sP201(U_1943)
| ~ v1_xboole_0(U_1943) ),
inference(clausify,[status(thm)],[f_599_3]) ).
cnf(f_599_5,plain,
( v1_xboole_0(k4_relat_1(U_1943))
| ~ sP201(U_1943) ),
inference(clausify,[status(thm)],[f_599_3]) ).
cnf(f_599_6,plain,
( v1_relat_1(k4_relat_1(U_1943))
| ~ sP201(U_1943) ),
inference(clausify,[status(thm)],[f_599_3]) ).
fof(f_600_1,plain,
( v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc12_relat_1]) ).
fof(f_600_2,plain,
( v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(definitional_conversion,[status(esa)],[f_600_1]) ).
cnf(f_600_3,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_600_2]) ).
cnf(f_600_4,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_600_2]) ).
cnf(f_600_5,plain,
v3_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_600_2]) ).
fof(f_601_1,plain,
? [A] :
( v3_relat_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_relat_1]) ).
fof(f_601_2,plain,
? [U_1944] :
( v3_relat_1(U_1944)
& v1_relat_1(U_1944) ),
inference(variable_rename,[status(thm)],[f_601_1]) ).
fof(f_601_3,plain,
( v3_relat_1(sK128)
& v1_relat_1(sK128) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128]),skolemize(U_1944,sK128)],[f_601_2]) ).
fof(f_601_4,plain,
( v3_relat_1(sK128)
& v1_relat_1(sK128) ),
inference(definitional_conversion,[status(esa)],[f_601_3]) ).
cnf(f_601_5,plain,
v1_relat_1(sK128),
inference(clausify,[status(thm)],[f_601_4]) ).
cnf(f_601_6,plain,
v3_relat_1(sK128),
inference(clausify,[status(thm)],[f_601_4]) ).
fof(f_602_1,plain,
! [A,B] :
( ( v3_relat_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) )
| ~ v3_relat_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc13_relat_1]) ).
fof(f_602_2,plain,
! [U_1946,U_1945] :
( ( v3_relat_1(k7_relat_1(U_1946,U_1945))
& v1_relat_1(k7_relat_1(U_1946,U_1945)) )
| ~ v3_relat_1(U_1946)
| ~ v1_relat_1(U_1946) ),
inference(variable_rename,[status(thm)],[f_602_1]) ).
fof(f_602_3,plain,
! [U_1946] :
( ( ! [U_1948] : v3_relat_1(k7_relat_1(U_1946,U_1948))
& ! [U_1947] : v1_relat_1(k7_relat_1(U_1946,U_1947)) )
| ~ v3_relat_1(U_1946)
| ~ v1_relat_1(U_1946) ),
inference(miniscope,[status(thm)],[f_602_2]) ).
fof(f_602_4,plain,
( ! [U_1946,U_1948,U_1947] :
( v3_relat_1(k7_relat_1(U_1946,U_1948))
| ~ sP202(U_1946,U_1948,U_1947) )
& ! [U_1946,U_1948,U_1947] :
( v1_relat_1(k7_relat_1(U_1946,U_1947))
| ~ sP202(U_1946,U_1948,U_1947) )
& ! [U_1946,U_1948,U_1947] :
( sP202(U_1946,U_1948,U_1947)
| ~ v3_relat_1(U_1946)
| ~ v1_relat_1(U_1946) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP202])],[f_602_3]) ).
cnf(f_602_5,plain,
( sP202(U_1946,U_1948,U_1947)
| ~ v3_relat_1(U_1946)
| ~ v1_relat_1(U_1946) ),
inference(clausify,[status(thm)],[f_602_4]) ).
cnf(f_602_6,plain,
( v1_relat_1(k7_relat_1(U_1946,U_1947))
| ~ sP202(U_1946,U_1948,U_1947) ),
inference(clausify,[status(thm)],[f_602_4]) ).
cnf(f_602_7,plain,
( v3_relat_1(k7_relat_1(U_1946,U_1948))
| ~ sP202(U_1946,U_1948,U_1947) ),
inference(clausify,[status(thm)],[f_602_4]) ).
fof(f_603_1,plain,
! [A] :
( ( v1_relat_1(A)
| ? [B] :
( ! [C,D] : B != k4_tarski(C,D)
& r2_hidden(B,A) ) )
& ( ! [B] :
( ? [C,D] : B = k4_tarski(C,D)
| ~ r2_hidden(B,A) )
| ~ v1_relat_1(A) ) ),
inference(fof_nnf,[status(thm)],[d1_relat_1]) ).
fof(f_603_2,plain,
! [U_1955] :
( ( v1_relat_1(U_1955)
| ? [U_1954] :
( ! [U_1953,U_1952] : U_1954 != k4_tarski(U_1953,U_1952)
& r2_hidden(U_1954,U_1955) ) )
& ( ! [U_1951] :
( ? [U_1950,U_1949] : U_1951 = k4_tarski(U_1950,U_1949)
| ~ r2_hidden(U_1951,U_1955) )
| ~ v1_relat_1(U_1955) ) ),
inference(variable_rename,[status(thm)],[f_603_1]) ).
fof(f_603_3,plain,
( ! [U_1957] :
( v1_relat_1(U_1957)
| ? [U_1954] :
( ! [U_1953,U_1952] : U_1954 != k4_tarski(U_1953,U_1952)
& r2_hidden(U_1954,U_1957) ) )
& ! [U_1956] :
( ! [U_1951] :
( ? [U_1950,U_1949] : U_1951 = k4_tarski(U_1950,U_1949)
| ~ r2_hidden(U_1951,U_1956) )
| ~ v1_relat_1(U_1956) ) ),
inference(miniscope,[status(thm)],[f_603_2]) ).
fof(f_603_4,plain,
( ! [U_1957] :
( v1_relat_1(U_1957)
| ? [U_1954] :
( ! [U_1953,U_1952] : U_1954 != k4_tarski(U_1953,U_1952)
& r2_hidden(U_1954,U_1957) ) )
& ! [U_1956] :
( ! [U_1951] :
( ? [U_1949] : U_1951 = k4_tarski(sK129(U_1956,U_1951),U_1949)
| ~ r2_hidden(U_1951,U_1956) )
| ~ v1_relat_1(U_1956) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK129]),skolemize(U_1950,sK129(U_1956,U_1951))],[f_603_3]) ).
fof(f_603_5,plain,
( ! [U_1957] :
( v1_relat_1(U_1957)
| ? [U_1954] :
( ! [U_1953,U_1952] : U_1954 != k4_tarski(U_1953,U_1952)
& r2_hidden(U_1954,U_1957) ) )
& ! [U_1956] :
( ! [U_1951] :
( U_1951 = k4_tarski(sK129(U_1956,U_1951),sK130(U_1956,U_1951))
| ~ r2_hidden(U_1951,U_1956) )
| ~ v1_relat_1(U_1956) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK130]),skolemize(U_1949,sK130(U_1956,U_1951))],[f_603_4]) ).
fof(f_603_6,plain,
( ! [U_1957] :
( v1_relat_1(U_1957)
| ( ! [U_1953,U_1952] : sK131(U_1957) != k4_tarski(U_1953,U_1952)
& r2_hidden(sK131(U_1957),U_1957) ) )
& ! [U_1956] :
( ! [U_1951] :
( U_1951 = k4_tarski(sK129(U_1956,U_1951),sK130(U_1956,U_1951))
| ~ r2_hidden(U_1951,U_1956) )
| ~ v1_relat_1(U_1956) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK131]),skolemize(U_1954,sK131(U_1957))],[f_603_5]) ).
fof(f_603_7,plain,
( ! [U_1957,U_1952,U_1953] :
( sK131(U_1957) != k4_tarski(U_1953,U_1952)
| ~ sP203(U_1957,U_1952,U_1953) )
& ! [U_1957,U_1952,U_1953] :
( r2_hidden(sK131(U_1957),U_1957)
| ~ sP203(U_1957,U_1952,U_1953) )
& ! [U_1957,U_1952,U_1953] :
( v1_relat_1(U_1957)
| sP203(U_1957,U_1952,U_1953) )
& ! [U_1956,U_1951] :
( U_1951 = k4_tarski(sK129(U_1956,U_1951),sK130(U_1956,U_1951))
| ~ r2_hidden(U_1951,U_1956)
| ~ v1_relat_1(U_1956) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP203])],[f_603_6]) ).
cnf(f_603_8,plain,
( U_1951 = k4_tarski(sK129(U_1956,U_1951),sK130(U_1956,U_1951))
| ~ r2_hidden(U_1951,U_1956)
| ~ v1_relat_1(U_1956) ),
inference(clausify,[status(thm)],[f_603_7]) ).
cnf(f_603_9,plain,
( v1_relat_1(U_1957)
| sP203(U_1957,U_1952,U_1953) ),
inference(clausify,[status(thm)],[f_603_7]) ).
cnf(f_603_10,plain,
( r2_hidden(sK131(U_1957),U_1957)
| ~ sP203(U_1957,U_1952,U_1953) ),
inference(clausify,[status(thm)],[f_603_7]) ).
cnf(f_603_11,plain,
( sK131(U_1957) != k4_tarski(U_1953,U_1952)
| ~ sP203(U_1957,U_1952,U_1953) ),
inference(clausify,[status(thm)],[f_603_7]) ).
fof(f_604_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_relat_1]) ).
fof(f_604_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_604_1]) ).
cnf(f_604_3,plain,
$true,
inference(clausify,[status(thm)],[f_604_2]) ).
fof(f_605_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_relat_1]) ).
fof(f_605_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_605_1]) ).
cnf(f_605_3,plain,
$true,
inference(clausify,[status(thm)],[f_605_2]) ).
fof(f_606_1,plain,
! [A,B] :
( v1_relat_1(A)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t3_relat_1]) ).
fof(f_606_2,plain,
! [U_1959,U_1958] :
( v1_relat_1(U_1959)
| ~ r1_tarski(U_1959,U_1958)
| ~ v1_relat_1(U_1958) ),
inference(variable_rename,[status(thm)],[f_606_1]) ).
fof(f_606_3,plain,
! [U_1959,U_1958] :
( v1_relat_1(U_1959)
| ~ r1_tarski(U_1959,U_1958)
| ~ v1_relat_1(U_1958) ),
inference(definitional_conversion,[status(esa)],[f_606_2]) ).
cnf(f_606_4,plain,
( v1_relat_1(U_1959)
| ~ r1_tarski(U_1959,U_1958)
| ~ v1_relat_1(U_1958) ),
inference(clausify,[status(thm)],[f_606_3]) ).
fof(f_607_1,plain,
! [A,B] : v1_relat_1(k1_tarski(k4_tarski(A,B))),
inference(fof_nnf,[status(thm)],[t4_relat_1]) ).
fof(f_607_2,plain,
! [U_1961,U_1960] : v1_relat_1(k1_tarski(k4_tarski(U_1961,U_1960))),
inference(variable_rename,[status(thm)],[f_607_1]) ).
fof(f_607_3,plain,
! [U_1960,U_1961] : v1_relat_1(k1_tarski(k4_tarski(U_1961,U_1960))),
inference(definitional_conversion,[status(esa)],[f_607_2]) ).
cnf(f_607_4,plain,
v1_relat_1(k1_tarski(k4_tarski(U_1961,U_1960))),
inference(clausify,[status(thm)],[f_607_3]) ).
fof(f_608_1,plain,
! [A,B,C,D] : v1_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))),
inference(fof_nnf,[status(thm)],[t5_relat_1]) ).
fof(f_608_2,plain,
! [U_1965,U_1964,U_1963,U_1962] : v1_relat_1(k2_tarski(k4_tarski(U_1965,U_1964),k4_tarski(U_1963,U_1962))),
inference(variable_rename,[status(thm)],[f_608_1]) ).
fof(f_608_3,plain,
! [U_1964,U_1965,U_1962,U_1963] : v1_relat_1(k2_tarski(k4_tarski(U_1965,U_1964),k4_tarski(U_1963,U_1962))),
inference(definitional_conversion,[status(esa)],[f_608_2]) ).
cnf(f_608_4,plain,
v1_relat_1(k2_tarski(k4_tarski(U_1965,U_1964),k4_tarski(U_1963,U_1962))),
inference(clausify,[status(thm)],[f_608_3]) ).
fof(f_609_1,plain,
! [A,B] : v1_relat_1(k2_zfmisc_1(A,B)),
inference(fof_nnf,[status(thm)],[t6_relat_1]) ).
fof(f_609_2,plain,
! [U_1967,U_1966] : v1_relat_1(k2_zfmisc_1(U_1967,U_1966)),
inference(variable_rename,[status(thm)],[f_609_1]) ).
fof(f_609_3,plain,
! [U_1966,U_1967] : v1_relat_1(k2_zfmisc_1(U_1967,U_1966)),
inference(definitional_conversion,[status(esa)],[f_609_2]) ).
cnf(f_609_4,plain,
v1_relat_1(k2_zfmisc_1(U_1967,U_1966)),
inference(clausify,[status(thm)],[f_609_3]) ).
fof(f_610_1,plain,
! [A] :
( ! [B] :
( ( ( A = B
| ? [C,D] :
( ( ~ r2_hidden(k4_tarski(C,D),A)
& r2_hidden(k4_tarski(C,D),B) )
| ( ~ r2_hidden(k4_tarski(C,D),B)
& r2_hidden(k4_tarski(C,D),A) ) ) )
& ( ! [C,D] :
( ( r2_hidden(k4_tarski(C,D),A)
| ~ r2_hidden(k4_tarski(C,D),B) )
& ( r2_hidden(k4_tarski(C,D),B)
| ~ r2_hidden(k4_tarski(C,D),A) ) )
| A != B ) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d2_relat_1]) ).
fof(f_610_2,plain,
! [U_1973] :
( ! [U_1972] :
( ( ( U_1973 = U_1972
| ? [U_1971,U_1970] :
( ( ~ r2_hidden(k4_tarski(U_1971,U_1970),U_1973)
& r2_hidden(k4_tarski(U_1971,U_1970),U_1972) )
| ( ~ r2_hidden(k4_tarski(U_1971,U_1970),U_1972)
& r2_hidden(k4_tarski(U_1971,U_1970),U_1973) ) ) )
& ( ! [U_1969,U_1968] :
( ( r2_hidden(k4_tarski(U_1969,U_1968),U_1973)
| ~ r2_hidden(k4_tarski(U_1969,U_1968),U_1972) )
& ( r2_hidden(k4_tarski(U_1969,U_1968),U_1972)
| ~ r2_hidden(k4_tarski(U_1969,U_1968),U_1973) ) )
| U_1973 != U_1972 ) )
| ~ v1_relat_1(U_1972) )
| ~ v1_relat_1(U_1973) ),
inference(variable_rename,[status(thm)],[f_610_1]) ).
fof(f_610_3,plain,
! [U_1973] :
( ! [U_1972] :
( ( ( U_1973 = U_1972
| ? [U_1981,U_1979] :
( ~ r2_hidden(k4_tarski(U_1981,U_1979),U_1973)
& r2_hidden(k4_tarski(U_1981,U_1979),U_1972) )
| ? [U_1980,U_1978] :
( ~ r2_hidden(k4_tarski(U_1980,U_1978),U_1972)
& r2_hidden(k4_tarski(U_1980,U_1978),U_1973) ) )
& ( ( ! [U_1977,U_1975] :
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972) )
& ! [U_1976,U_1974] :
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973) ) )
| U_1973 != U_1972 ) )
| ~ v1_relat_1(U_1972) )
| ~ v1_relat_1(U_1973) ),
inference(miniscope,[status(thm)],[f_610_2]) ).
fof(f_610_4,plain,
! [U_1973] :
( ! [U_1972] :
( ( ( U_1973 = U_1972
| ? [U_1981,U_1979] :
( ~ r2_hidden(k4_tarski(U_1981,U_1979),U_1973)
& r2_hidden(k4_tarski(U_1981,U_1979),U_1972) )
| ? [U_1978] :
( ~ r2_hidden(k4_tarski(sK132(U_1973,U_1972),U_1978),U_1972)
& r2_hidden(k4_tarski(sK132(U_1973,U_1972),U_1978),U_1973) ) )
& ( ( ! [U_1977,U_1975] :
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972) )
& ! [U_1976,U_1974] :
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973) ) )
| U_1973 != U_1972 ) )
| ~ v1_relat_1(U_1972) )
| ~ v1_relat_1(U_1973) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK132]),skolemize(U_1980,sK132(U_1973,U_1972))],[f_610_3]) ).
fof(f_610_5,plain,
! [U_1973] :
( ! [U_1972] :
( ( ( U_1973 = U_1972
| ? [U_1981,U_1979] :
( ~ r2_hidden(k4_tarski(U_1981,U_1979),U_1973)
& r2_hidden(k4_tarski(U_1981,U_1979),U_1972) )
| ( ~ r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1972)
& r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1973) ) )
& ( ( ! [U_1977,U_1975] :
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972) )
& ! [U_1976,U_1974] :
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973) ) )
| U_1973 != U_1972 ) )
| ~ v1_relat_1(U_1972) )
| ~ v1_relat_1(U_1973) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK133]),skolemize(U_1978,sK133(U_1973,U_1972))],[f_610_4]) ).
fof(f_610_6,plain,
! [U_1973] :
( ! [U_1972] :
( ( ( U_1973 = U_1972
| ? [U_1979] :
( ~ r2_hidden(k4_tarski(sK134(U_1973,U_1972),U_1979),U_1973)
& r2_hidden(k4_tarski(sK134(U_1973,U_1972),U_1979),U_1972) )
| ( ~ r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1972)
& r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1973) ) )
& ( ( ! [U_1977,U_1975] :
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972) )
& ! [U_1976,U_1974] :
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973) ) )
| U_1973 != U_1972 ) )
| ~ v1_relat_1(U_1972) )
| ~ v1_relat_1(U_1973) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134]),skolemize(U_1981,sK134(U_1973,U_1972))],[f_610_5]) ).
fof(f_610_7,plain,
! [U_1973] :
( ! [U_1972] :
( ( ( U_1973 = U_1972
| ( ~ r2_hidden(k4_tarski(sK134(U_1973,U_1972),sK135(U_1973,U_1972)),U_1973)
& r2_hidden(k4_tarski(sK134(U_1973,U_1972),sK135(U_1973,U_1972)),U_1972) )
| ( ~ r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1972)
& r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1973) ) )
& ( ( ! [U_1977,U_1975] :
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972) )
& ! [U_1976,U_1974] :
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973) ) )
| U_1973 != U_1972 ) )
| ~ v1_relat_1(U_1972) )
| ~ v1_relat_1(U_1973) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK135]),skolemize(U_1979,sK135(U_1973,U_1972))],[f_610_6]) ).
fof(f_610_8,plain,
( ! [U_1972,U_1973] :
( ~ r2_hidden(k4_tarski(sK134(U_1973,U_1972),sK135(U_1973,U_1972)),U_1973)
| ~ sP206(U_1972,U_1973) )
& ! [U_1972,U_1973] :
( r2_hidden(k4_tarski(sK134(U_1973,U_1972),sK135(U_1973,U_1972)),U_1972)
| ~ sP206(U_1972,U_1973) )
& ! [U_1972,U_1973] :
( ~ r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1972)
| ~ sP205(U_1972,U_1973) )
& ! [U_1972,U_1973] :
( r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1973)
| ~ sP205(U_1972,U_1973) )
& ! [U_1976,U_1972,U_1973,U_1974,U_1975,U_1977] :
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972)
| ~ sP204(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) )
& ! [U_1976,U_1972,U_1973,U_1974,U_1975,U_1977] :
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973)
| ~ sP204(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) )
& ! [U_1976,U_1972,U_1973,U_1974,U_1975,U_1977] :
( U_1973 = U_1972
| sP206(U_1972,U_1973)
| sP205(U_1972,U_1973)
| ~ sP207(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) )
& ! [U_1976,U_1972,U_1973,U_1974,U_1975,U_1977] :
( sP204(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977)
| U_1973 != U_1972
| ~ sP207(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) )
& ! [U_1976,U_1972,U_1973,U_1974,U_1975,U_1977] :
( sP207(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977)
| ~ v1_relat_1(U_1972)
| ~ v1_relat_1(U_1973) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP204,sP205,sP206,sP207])],[f_610_7]) ).
cnf(f_610_9,plain,
( sP207(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977)
| ~ v1_relat_1(U_1972)
| ~ v1_relat_1(U_1973) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_10,plain,
( sP204(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977)
| U_1973 != U_1972
| ~ sP207(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_11,plain,
( U_1973 = U_1972
| sP206(U_1972,U_1973)
| sP205(U_1972,U_1973)
| ~ sP207(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_12,plain,
( r2_hidden(k4_tarski(U_1976,U_1974),U_1972)
| ~ r2_hidden(k4_tarski(U_1976,U_1974),U_1973)
| ~ sP204(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_13,plain,
( r2_hidden(k4_tarski(U_1977,U_1975),U_1973)
| ~ r2_hidden(k4_tarski(U_1977,U_1975),U_1972)
| ~ sP204(U_1976,U_1972,U_1973,U_1974,U_1975,U_1977) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_14,plain,
( r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1973)
| ~ sP205(U_1972,U_1973) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_15,plain,
( ~ r2_hidden(k4_tarski(sK132(U_1973,U_1972),sK133(U_1973,U_1972)),U_1972)
| ~ sP205(U_1972,U_1973) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_16,plain,
( r2_hidden(k4_tarski(sK134(U_1973,U_1972),sK135(U_1973,U_1972)),U_1972)
| ~ sP206(U_1972,U_1973) ),
inference(clausify,[status(thm)],[f_610_8]) ).
cnf(f_610_17,plain,
( ~ r2_hidden(k4_tarski(sK134(U_1973,U_1972),sK135(U_1973,U_1972)),U_1973)
| ~ sP206(U_1972,U_1973) ),
inference(clausify,[status(thm)],[f_610_8]) ).
fof(f_611_1,plain,
! [A] :
( ! [B] :
( ( ( r1_tarski(A,B)
| ? [C,D] :
( ~ r2_hidden(k4_tarski(C,D),B)
& r2_hidden(k4_tarski(C,D),A) ) )
& ( ! [C,D] :
( r2_hidden(k4_tarski(C,D),B)
| ~ r2_hidden(k4_tarski(C,D),A) )
| ~ r1_tarski(A,B) ) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d3_relat_1]) ).
fof(f_611_2,plain,
! [U_1987] :
( ! [U_1986] :
( ( ( r1_tarski(U_1987,U_1986)
| ? [U_1985,U_1984] :
( ~ r2_hidden(k4_tarski(U_1985,U_1984),U_1986)
& r2_hidden(k4_tarski(U_1985,U_1984),U_1987) ) )
& ( ! [U_1983,U_1982] :
( r2_hidden(k4_tarski(U_1983,U_1982),U_1986)
| ~ r2_hidden(k4_tarski(U_1983,U_1982),U_1987) )
| ~ r1_tarski(U_1987,U_1986) ) )
| ~ v1_relat_1(U_1986) )
| ~ v1_relat_1(U_1987) ),
inference(variable_rename,[status(thm)],[f_611_1]) ).
fof(f_611_3,plain,
! [U_1987] :
( ! [U_1986] :
( ( ( r1_tarski(U_1987,U_1986)
| ? [U_1984] :
( ~ r2_hidden(k4_tarski(sK136(U_1987,U_1986),U_1984),U_1986)
& r2_hidden(k4_tarski(sK136(U_1987,U_1986),U_1984),U_1987) ) )
& ( ! [U_1983,U_1982] :
( r2_hidden(k4_tarski(U_1983,U_1982),U_1986)
| ~ r2_hidden(k4_tarski(U_1983,U_1982),U_1987) )
| ~ r1_tarski(U_1987,U_1986) ) )
| ~ v1_relat_1(U_1986) )
| ~ v1_relat_1(U_1987) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK136]),skolemize(U_1985,sK136(U_1987,U_1986))],[f_611_2]) ).
fof(f_611_4,plain,
! [U_1987] :
( ! [U_1986] :
( ( ( r1_tarski(U_1987,U_1986)
| ( ~ r2_hidden(k4_tarski(sK136(U_1987,U_1986),sK137(U_1987,U_1986)),U_1986)
& r2_hidden(k4_tarski(sK136(U_1987,U_1986),sK137(U_1987,U_1986)),U_1987) ) )
& ( ! [U_1983,U_1982] :
( r2_hidden(k4_tarski(U_1983,U_1982),U_1986)
| ~ r2_hidden(k4_tarski(U_1983,U_1982),U_1987) )
| ~ r1_tarski(U_1987,U_1986) ) )
| ~ v1_relat_1(U_1986) )
| ~ v1_relat_1(U_1987) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK137]),skolemize(U_1984,sK137(U_1987,U_1986))],[f_611_3]) ).
fof(f_611_5,plain,
( ! [U_1986,U_1987] :
( ~ r2_hidden(k4_tarski(sK136(U_1987,U_1986),sK137(U_1987,U_1986)),U_1986)
| ~ sP208(U_1986,U_1987) )
& ! [U_1986,U_1987] :
( r2_hidden(k4_tarski(sK136(U_1987,U_1986),sK137(U_1987,U_1986)),U_1987)
| ~ sP208(U_1986,U_1987) )
& ! [U_1982,U_1986,U_1983,U_1987] :
( r1_tarski(U_1987,U_1986)
| sP208(U_1986,U_1987)
| ~ sP209(U_1982,U_1986,U_1983,U_1987) )
& ! [U_1982,U_1986,U_1983,U_1987] :
( r2_hidden(k4_tarski(U_1983,U_1982),U_1986)
| ~ r2_hidden(k4_tarski(U_1983,U_1982),U_1987)
| ~ r1_tarski(U_1987,U_1986)
| ~ sP209(U_1982,U_1986,U_1983,U_1987) )
& ! [U_1982,U_1986,U_1983,U_1987] :
( sP209(U_1982,U_1986,U_1983,U_1987)
| ~ v1_relat_1(U_1986)
| ~ v1_relat_1(U_1987) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP208,sP209])],[f_611_4]) ).
cnf(f_611_6,plain,
( sP209(U_1982,U_1986,U_1983,U_1987)
| ~ v1_relat_1(U_1986)
| ~ v1_relat_1(U_1987) ),
inference(clausify,[status(thm)],[f_611_5]) ).
cnf(f_611_7,plain,
( r2_hidden(k4_tarski(U_1983,U_1982),U_1986)
| ~ r2_hidden(k4_tarski(U_1983,U_1982),U_1987)
| ~ r1_tarski(U_1987,U_1986)
| ~ sP209(U_1982,U_1986,U_1983,U_1987) ),
inference(clausify,[status(thm)],[f_611_5]) ).
cnf(f_611_8,plain,
( r1_tarski(U_1987,U_1986)
| sP208(U_1986,U_1987)
| ~ sP209(U_1982,U_1986,U_1983,U_1987) ),
inference(clausify,[status(thm)],[f_611_5]) ).
cnf(f_611_9,plain,
( r2_hidden(k4_tarski(sK136(U_1987,U_1986),sK137(U_1987,U_1986)),U_1987)
| ~ sP208(U_1986,U_1987) ),
inference(clausify,[status(thm)],[f_611_5]) ).
cnf(f_611_10,plain,
( ~ r2_hidden(k4_tarski(sK136(U_1987,U_1986),sK137(U_1987,U_1986)),U_1986)
| ~ sP208(U_1986,U_1987) ),
inference(clausify,[status(thm)],[f_611_5]) ).
fof(f_612_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_relat_1]) ).
fof(f_612_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_612_1]) ).
cnf(f_612_3,plain,
$true,
inference(clausify,[status(thm)],[f_612_2]) ).
fof(f_613_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_relat_1]) ).
fof(f_613_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_613_1]) ).
cnf(f_613_3,plain,
$true,
inference(clausify,[status(thm)],[f_613_2]) ).
fof(f_614_1,plain,
! [A,B] :
( v1_relat_1(k3_xboole_0(A,B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t9_relat_1]) ).
fof(f_614_2,plain,
! [U_1989,U_1988] :
( v1_relat_1(k3_xboole_0(U_1989,U_1988))
| ~ v1_relat_1(U_1988) ),
inference(variable_rename,[status(thm)],[f_614_1]) ).
fof(f_614_3,plain,
! [U_1989,U_1988] :
( v1_relat_1(k3_xboole_0(U_1989,U_1988))
| ~ v1_relat_1(U_1988) ),
inference(definitional_conversion,[status(esa)],[f_614_2]) ).
cnf(f_614_4,plain,
( v1_relat_1(k3_xboole_0(U_1989,U_1988))
| ~ v1_relat_1(U_1988) ),
inference(clausify,[status(thm)],[f_614_3]) ).
fof(f_615_1,plain,
! [A,B] :
( v1_relat_1(k4_xboole_0(B,A))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t10_relat_1]) ).
fof(f_615_2,plain,
! [U_1991,U_1990] :
( v1_relat_1(k4_xboole_0(U_1990,U_1991))
| ~ v1_relat_1(U_1990) ),
inference(variable_rename,[status(thm)],[f_615_1]) ).
fof(f_615_3,plain,
! [U_1990,U_1991] :
( v1_relat_1(k4_xboole_0(U_1990,U_1991))
| ~ v1_relat_1(U_1990) ),
inference(definitional_conversion,[status(esa)],[f_615_2]) ).
cnf(f_615_4,plain,
( v1_relat_1(k4_xboole_0(U_1990,U_1991))
| ~ v1_relat_1(U_1990) ),
inference(clausify,[status(thm)],[f_615_3]) ).
fof(f_616_1,plain,
! [A] :
( ! [B] :
( ( B = k1_relat_1(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& ? [D] : r2_hidden(k4_tarski(C,D),A) )
| ( ! [D] : ~ r2_hidden(k4_tarski(C,D),A)
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ! [D] : ~ r2_hidden(k4_tarski(C,D),A) )
& ( ? [D] : r2_hidden(k4_tarski(C,D),A)
| ~ r2_hidden(C,B) ) )
| B != k1_relat_1(A) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d4_relat_1]) ).
fof(f_616_2,plain,
! [U_1999] :
( ! [U_1998] :
( ( U_1998 = k1_relat_1(U_1999)
| ? [U_1997] :
( ( ~ r2_hidden(U_1997,U_1998)
& ? [U_1996] : r2_hidden(k4_tarski(U_1997,U_1996),U_1999) )
| ( ! [U_1995] : ~ r2_hidden(k4_tarski(U_1997,U_1995),U_1999)
& r2_hidden(U_1997,U_1998) ) ) )
& ( ! [U_1994] :
( ( r2_hidden(U_1994,U_1998)
| ! [U_1993] : ~ r2_hidden(k4_tarski(U_1994,U_1993),U_1999) )
& ( ? [U_1992] : r2_hidden(k4_tarski(U_1994,U_1992),U_1999)
| ~ r2_hidden(U_1994,U_1998) ) )
| U_1998 != k1_relat_1(U_1999) ) )
| ~ v1_relat_1(U_1999) ),
inference(variable_rename,[status(thm)],[f_616_1]) ).
fof(f_616_3,plain,
! [U_1999] :
( ( ! [U_2005] :
( U_2005 = k1_relat_1(U_1999)
| ? [U_2003] :
( ~ r2_hidden(U_2003,U_2005)
& ? [U_1996] : r2_hidden(k4_tarski(U_2003,U_1996),U_1999) )
| ? [U_2002] :
( ! [U_1995] : ~ r2_hidden(k4_tarski(U_2002,U_1995),U_1999)
& r2_hidden(U_2002,U_2005) ) )
& ! [U_2004] :
( ( ! [U_2001] :
( r2_hidden(U_2001,U_2004)
| ! [U_1993] : ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999) )
& ! [U_2000] :
( ? [U_1992] : r2_hidden(k4_tarski(U_2000,U_1992),U_1999)
| ~ r2_hidden(U_2000,U_2004) ) )
| U_2004 != k1_relat_1(U_1999) ) )
| ~ v1_relat_1(U_1999) ),
inference(miniscope,[status(thm)],[f_616_2]) ).
fof(f_616_4,plain,
! [U_1999] :
( ( ! [U_2005] :
( U_2005 = k1_relat_1(U_1999)
| ? [U_2003] :
( ~ r2_hidden(U_2003,U_2005)
& ? [U_1996] : r2_hidden(k4_tarski(U_2003,U_1996),U_1999) )
| ? [U_2002] :
( ! [U_1995] : ~ r2_hidden(k4_tarski(U_2002,U_1995),U_1999)
& r2_hidden(U_2002,U_2005) ) )
& ! [U_2004] :
( ( ! [U_2001] :
( r2_hidden(U_2001,U_2004)
| ! [U_1993] : ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999) )
& ! [U_2000] :
( r2_hidden(k4_tarski(U_2000,sK138(U_1999,U_2004,U_2000)),U_1999)
| ~ r2_hidden(U_2000,U_2004) ) )
| U_2004 != k1_relat_1(U_1999) ) )
| ~ v1_relat_1(U_1999) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK138]),skolemize(U_1992,sK138(U_1999,U_2004,U_2000))],[f_616_3]) ).
fof(f_616_5,plain,
! [U_1999] :
( ( ! [U_2005] :
( U_2005 = k1_relat_1(U_1999)
| ? [U_2003] :
( ~ r2_hidden(U_2003,U_2005)
& ? [U_1996] : r2_hidden(k4_tarski(U_2003,U_1996),U_1999) )
| ( ! [U_1995] : ~ r2_hidden(k4_tarski(sK139(U_1999,U_2005),U_1995),U_1999)
& r2_hidden(sK139(U_1999,U_2005),U_2005) ) )
& ! [U_2004] :
( ( ! [U_2001] :
( r2_hidden(U_2001,U_2004)
| ! [U_1993] : ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999) )
& ! [U_2000] :
( r2_hidden(k4_tarski(U_2000,sK138(U_1999,U_2004,U_2000)),U_1999)
| ~ r2_hidden(U_2000,U_2004) ) )
| U_2004 != k1_relat_1(U_1999) ) )
| ~ v1_relat_1(U_1999) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK139]),skolemize(U_2002,sK139(U_1999,U_2005))],[f_616_4]) ).
fof(f_616_6,plain,
! [U_1999] :
( ( ! [U_2005] :
( U_2005 = k1_relat_1(U_1999)
| ( ~ r2_hidden(sK140(U_1999,U_2005),U_2005)
& ? [U_1996] : r2_hidden(k4_tarski(sK140(U_1999,U_2005),U_1996),U_1999) )
| ( ! [U_1995] : ~ r2_hidden(k4_tarski(sK139(U_1999,U_2005),U_1995),U_1999)
& r2_hidden(sK139(U_1999,U_2005),U_2005) ) )
& ! [U_2004] :
( ( ! [U_2001] :
( r2_hidden(U_2001,U_2004)
| ! [U_1993] : ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999) )
& ! [U_2000] :
( r2_hidden(k4_tarski(U_2000,sK138(U_1999,U_2004,U_2000)),U_1999)
| ~ r2_hidden(U_2000,U_2004) ) )
| U_2004 != k1_relat_1(U_1999) ) )
| ~ v1_relat_1(U_1999) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK140]),skolemize(U_2003,sK140(U_1999,U_2005))],[f_616_5]) ).
fof(f_616_7,plain,
! [U_1999] :
( ( ! [U_2005] :
( U_2005 = k1_relat_1(U_1999)
| ( ~ r2_hidden(sK140(U_1999,U_2005),U_2005)
& r2_hidden(k4_tarski(sK140(U_1999,U_2005),sK141(U_1999,U_2005)),U_1999) )
| ( ! [U_1995] : ~ r2_hidden(k4_tarski(sK139(U_1999,U_2005),U_1995),U_1999)
& r2_hidden(sK139(U_1999,U_2005),U_2005) ) )
& ! [U_2004] :
( ( ! [U_2001] :
( r2_hidden(U_2001,U_2004)
| ! [U_1993] : ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999) )
& ! [U_2000] :
( r2_hidden(k4_tarski(U_2000,sK138(U_1999,U_2004,U_2000)),U_1999)
| ~ r2_hidden(U_2000,U_2004) ) )
| U_2004 != k1_relat_1(U_1999) ) )
| ~ v1_relat_1(U_1999) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141]),skolemize(U_1996,sK141(U_1999,U_2005))],[f_616_6]) ).
fof(f_616_8,plain,
( ! [U_1999,U_2005] :
( ~ r2_hidden(sK140(U_1999,U_2005),U_2005)
| ~ sP212(U_1999,U_2005) )
& ! [U_1999,U_2005] :
( r2_hidden(k4_tarski(sK140(U_1999,U_2005),sK141(U_1999,U_2005)),U_1999)
| ~ sP212(U_1999,U_2005) )
& ! [U_1995,U_1999,U_2005] :
( ~ r2_hidden(k4_tarski(sK139(U_1999,U_2005),U_1995),U_1999)
| ~ sP211(U_1995,U_1999,U_2005) )
& ! [U_1995,U_1999,U_2005] :
( r2_hidden(sK139(U_1999,U_2005),U_2005)
| ~ sP211(U_1995,U_1999,U_2005) )
& ! [U_2000,U_2001,U_2004,U_1993,U_1999] :
( r2_hidden(U_2001,U_2004)
| ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999)
| ~ sP210(U_2000,U_2001,U_2004,U_1993,U_1999) )
& ! [U_2000,U_2001,U_2004,U_1993,U_1999] :
( r2_hidden(k4_tarski(U_2000,sK138(U_1999,U_2004,U_2000)),U_1999)
| ~ r2_hidden(U_2000,U_2004)
| ~ sP210(U_2000,U_2001,U_2004,U_1993,U_1999) )
& ! [U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005] :
( U_2005 = k1_relat_1(U_1999)
| sP212(U_1999,U_2005)
| sP211(U_1995,U_1999,U_2005)
| ~ sP213(U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005) )
& ! [U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005] :
( sP210(U_2000,U_2001,U_2004,U_1993,U_1999)
| U_2004 != k1_relat_1(U_1999)
| ~ sP213(U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005) )
& ! [U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005] :
( sP213(U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005)
| ~ v1_relat_1(U_1999) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP210,sP211,sP212,sP213])],[f_616_7]) ).
cnf(f_616_9,plain,
( sP213(U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005)
| ~ v1_relat_1(U_1999) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_10,plain,
( sP210(U_2000,U_2001,U_2004,U_1993,U_1999)
| U_2004 != k1_relat_1(U_1999)
| ~ sP213(U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_11,plain,
( U_2005 = k1_relat_1(U_1999)
| sP212(U_1999,U_2005)
| sP211(U_1995,U_1999,U_2005)
| ~ sP213(U_2000,U_2001,U_2004,U_1993,U_1995,U_1999,U_2005) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_12,plain,
( r2_hidden(k4_tarski(U_2000,sK138(U_1999,U_2004,U_2000)),U_1999)
| ~ r2_hidden(U_2000,U_2004)
| ~ sP210(U_2000,U_2001,U_2004,U_1993,U_1999) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_13,plain,
( r2_hidden(U_2001,U_2004)
| ~ r2_hidden(k4_tarski(U_2001,U_1993),U_1999)
| ~ sP210(U_2000,U_2001,U_2004,U_1993,U_1999) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_14,plain,
( r2_hidden(sK139(U_1999,U_2005),U_2005)
| ~ sP211(U_1995,U_1999,U_2005) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_15,plain,
( ~ r2_hidden(k4_tarski(sK139(U_1999,U_2005),U_1995),U_1999)
| ~ sP211(U_1995,U_1999,U_2005) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_16,plain,
( r2_hidden(k4_tarski(sK140(U_1999,U_2005),sK141(U_1999,U_2005)),U_1999)
| ~ sP212(U_1999,U_2005) ),
inference(clausify,[status(thm)],[f_616_8]) ).
cnf(f_616_17,plain,
( ~ r2_hidden(sK140(U_1999,U_2005),U_2005)
| ~ sP212(U_1999,U_2005) ),
inference(clausify,[status(thm)],[f_616_8]) ).
fof(f_617_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_relat_1]) ).
fof(f_617_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_617_1]) ).
cnf(f_617_3,plain,
$true,
inference(clausify,[status(thm)],[f_617_2]) ).
fof(f_618_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_relat_1]) ).
fof(f_618_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_618_1]) ).
cnf(f_618_3,plain,
$true,
inference(clausify,[status(thm)],[f_618_2]) ).
fof(f_619_1,plain,
! [A] :
( ! [B] :
( k1_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t13_relat_1]) ).
fof(f_619_2,plain,
! [U_2007] :
( ! [U_2006] :
( k1_relat_1(k2_xboole_0(U_2007,U_2006)) = k2_xboole_0(k1_relat_1(U_2007),k1_relat_1(U_2006))
| ~ v1_relat_1(U_2006) )
| ~ v1_relat_1(U_2007) ),
inference(variable_rename,[status(thm)],[f_619_1]) ).
fof(f_619_3,plain,
! [U_2006,U_2007] :
( k1_relat_1(k2_xboole_0(U_2007,U_2006)) = k2_xboole_0(k1_relat_1(U_2007),k1_relat_1(U_2006))
| ~ v1_relat_1(U_2006)
| ~ v1_relat_1(U_2007) ),
inference(definitional_conversion,[status(esa)],[f_619_2]) ).
cnf(f_619_4,plain,
( k1_relat_1(k2_xboole_0(U_2007,U_2006)) = k2_xboole_0(k1_relat_1(U_2007),k1_relat_1(U_2006))
| ~ v1_relat_1(U_2006)
| ~ v1_relat_1(U_2007) ),
inference(clausify,[status(thm)],[f_619_3]) ).
fof(f_620_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k1_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k1_relat_1(A),k1_relat_1(B)))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t14_relat_1]) ).
fof(f_620_2,plain,
! [U_2009] :
( ! [U_2008] :
( r1_tarski(k1_relat_1(k3_xboole_0(U_2009,U_2008)),k3_xboole_0(k1_relat_1(U_2009),k1_relat_1(U_2008)))
| ~ v1_relat_1(U_2008) )
| ~ v1_relat_1(U_2009) ),
inference(variable_rename,[status(thm)],[f_620_1]) ).
fof(f_620_3,plain,
! [U_2008,U_2009] :
( r1_tarski(k1_relat_1(k3_xboole_0(U_2009,U_2008)),k3_xboole_0(k1_relat_1(U_2009),k1_relat_1(U_2008)))
| ~ v1_relat_1(U_2008)
| ~ v1_relat_1(U_2009) ),
inference(definitional_conversion,[status(esa)],[f_620_2]) ).
cnf(f_620_4,plain,
( r1_tarski(k1_relat_1(k3_xboole_0(U_2009,U_2008)),k3_xboole_0(k1_relat_1(U_2009),k1_relat_1(U_2008)))
| ~ v1_relat_1(U_2008)
| ~ v1_relat_1(U_2009) ),
inference(clausify,[status(thm)],[f_620_3]) ).
fof(f_621_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k4_xboole_0(k1_relat_1(A),k1_relat_1(B)),k1_relat_1(k4_xboole_0(A,B)))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t15_relat_1]) ).
fof(f_621_2,plain,
! [U_2011] :
( ! [U_2010] :
( r1_tarski(k4_xboole_0(k1_relat_1(U_2011),k1_relat_1(U_2010)),k1_relat_1(k4_xboole_0(U_2011,U_2010)))
| ~ v1_relat_1(U_2010) )
| ~ v1_relat_1(U_2011) ),
inference(variable_rename,[status(thm)],[f_621_1]) ).
fof(f_621_3,plain,
! [U_2011,U_2010] :
( r1_tarski(k4_xboole_0(k1_relat_1(U_2011),k1_relat_1(U_2010)),k1_relat_1(k4_xboole_0(U_2011,U_2010)))
| ~ v1_relat_1(U_2010)
| ~ v1_relat_1(U_2011) ),
inference(definitional_conversion,[status(esa)],[f_621_2]) ).
cnf(f_621_4,plain,
( r1_tarski(k4_xboole_0(k1_relat_1(U_2011),k1_relat_1(U_2010)),k1_relat_1(k4_xboole_0(U_2011,U_2010)))
| ~ v1_relat_1(U_2010)
| ~ v1_relat_1(U_2011) ),
inference(clausify,[status(thm)],[f_621_3]) ).
fof(f_622_1,plain,
! [A] :
( ! [B] :
( ( B = k2_relat_1(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& ? [D] : r2_hidden(k4_tarski(D,C),A) )
| ( ! [D] : ~ r2_hidden(k4_tarski(D,C),A)
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ! [D] : ~ r2_hidden(k4_tarski(D,C),A) )
& ( ? [D] : r2_hidden(k4_tarski(D,C),A)
| ~ r2_hidden(C,B) ) )
| B != k2_relat_1(A) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d5_relat_1]) ).
fof(f_622_2,plain,
! [U_2019] :
( ! [U_2018] :
( ( U_2018 = k2_relat_1(U_2019)
| ? [U_2017] :
( ( ~ r2_hidden(U_2017,U_2018)
& ? [U_2016] : r2_hidden(k4_tarski(U_2016,U_2017),U_2019) )
| ( ! [U_2015] : ~ r2_hidden(k4_tarski(U_2015,U_2017),U_2019)
& r2_hidden(U_2017,U_2018) ) ) )
& ( ! [U_2014] :
( ( r2_hidden(U_2014,U_2018)
| ! [U_2013] : ~ r2_hidden(k4_tarski(U_2013,U_2014),U_2019) )
& ( ? [U_2012] : r2_hidden(k4_tarski(U_2012,U_2014),U_2019)
| ~ r2_hidden(U_2014,U_2018) ) )
| U_2018 != k2_relat_1(U_2019) ) )
| ~ v1_relat_1(U_2019) ),
inference(variable_rename,[status(thm)],[f_622_1]) ).
fof(f_622_3,plain,
! [U_2019] :
( ( ! [U_2025] :
( U_2025 = k2_relat_1(U_2019)
| ? [U_2023] :
( ~ r2_hidden(U_2023,U_2025)
& ? [U_2016] : r2_hidden(k4_tarski(U_2016,U_2023),U_2019) )
| ? [U_2022] :
( ! [U_2015] : ~ r2_hidden(k4_tarski(U_2015,U_2022),U_2019)
& r2_hidden(U_2022,U_2025) ) )
& ! [U_2024] :
( ( ! [U_2021] :
( r2_hidden(U_2021,U_2024)
| ! [U_2013] : ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019) )
& ! [U_2020] :
( ? [U_2012] : r2_hidden(k4_tarski(U_2012,U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024) ) )
| U_2024 != k2_relat_1(U_2019) ) )
| ~ v1_relat_1(U_2019) ),
inference(miniscope,[status(thm)],[f_622_2]) ).
fof(f_622_4,plain,
! [U_2019] :
( ( ! [U_2025] :
( U_2025 = k2_relat_1(U_2019)
| ? [U_2023] :
( ~ r2_hidden(U_2023,U_2025)
& ? [U_2016] : r2_hidden(k4_tarski(U_2016,U_2023),U_2019) )
| ? [U_2022] :
( ! [U_2015] : ~ r2_hidden(k4_tarski(U_2015,U_2022),U_2019)
& r2_hidden(U_2022,U_2025) ) )
& ! [U_2024] :
( ( ! [U_2021] :
( r2_hidden(U_2021,U_2024)
| ! [U_2013] : ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019) )
& ! [U_2020] :
( r2_hidden(k4_tarski(sK142(U_2019,U_2024,U_2020),U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024) ) )
| U_2024 != k2_relat_1(U_2019) ) )
| ~ v1_relat_1(U_2019) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK142]),skolemize(U_2012,sK142(U_2019,U_2024,U_2020))],[f_622_3]) ).
fof(f_622_5,plain,
! [U_2019] :
( ( ! [U_2025] :
( U_2025 = k2_relat_1(U_2019)
| ? [U_2023] :
( ~ r2_hidden(U_2023,U_2025)
& ? [U_2016] : r2_hidden(k4_tarski(U_2016,U_2023),U_2019) )
| ( ! [U_2015] : ~ r2_hidden(k4_tarski(U_2015,sK143(U_2019,U_2025)),U_2019)
& r2_hidden(sK143(U_2019,U_2025),U_2025) ) )
& ! [U_2024] :
( ( ! [U_2021] :
( r2_hidden(U_2021,U_2024)
| ! [U_2013] : ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019) )
& ! [U_2020] :
( r2_hidden(k4_tarski(sK142(U_2019,U_2024,U_2020),U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024) ) )
| U_2024 != k2_relat_1(U_2019) ) )
| ~ v1_relat_1(U_2019) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK143]),skolemize(U_2022,sK143(U_2019,U_2025))],[f_622_4]) ).
fof(f_622_6,plain,
! [U_2019] :
( ( ! [U_2025] :
( U_2025 = k2_relat_1(U_2019)
| ( ~ r2_hidden(sK144(U_2019,U_2025),U_2025)
& ? [U_2016] : r2_hidden(k4_tarski(U_2016,sK144(U_2019,U_2025)),U_2019) )
| ( ! [U_2015] : ~ r2_hidden(k4_tarski(U_2015,sK143(U_2019,U_2025)),U_2019)
& r2_hidden(sK143(U_2019,U_2025),U_2025) ) )
& ! [U_2024] :
( ( ! [U_2021] :
( r2_hidden(U_2021,U_2024)
| ! [U_2013] : ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019) )
& ! [U_2020] :
( r2_hidden(k4_tarski(sK142(U_2019,U_2024,U_2020),U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024) ) )
| U_2024 != k2_relat_1(U_2019) ) )
| ~ v1_relat_1(U_2019) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK144]),skolemize(U_2023,sK144(U_2019,U_2025))],[f_622_5]) ).
fof(f_622_7,plain,
! [U_2019] :
( ( ! [U_2025] :
( U_2025 = k2_relat_1(U_2019)
| ( ~ r2_hidden(sK144(U_2019,U_2025),U_2025)
& r2_hidden(k4_tarski(sK145(U_2019,U_2025),sK144(U_2019,U_2025)),U_2019) )
| ( ! [U_2015] : ~ r2_hidden(k4_tarski(U_2015,sK143(U_2019,U_2025)),U_2019)
& r2_hidden(sK143(U_2019,U_2025),U_2025) ) )
& ! [U_2024] :
( ( ! [U_2021] :
( r2_hidden(U_2021,U_2024)
| ! [U_2013] : ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019) )
& ! [U_2020] :
( r2_hidden(k4_tarski(sK142(U_2019,U_2024,U_2020),U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024) ) )
| U_2024 != k2_relat_1(U_2019) ) )
| ~ v1_relat_1(U_2019) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK145]),skolemize(U_2016,sK145(U_2019,U_2025))],[f_622_6]) ).
fof(f_622_8,plain,
( ! [U_2025,U_2019] :
( ~ r2_hidden(sK144(U_2019,U_2025),U_2025)
| ~ sP216(U_2025,U_2019) )
& ! [U_2025,U_2019] :
( r2_hidden(k4_tarski(sK145(U_2019,U_2025),sK144(U_2019,U_2025)),U_2019)
| ~ sP216(U_2025,U_2019) )
& ! [U_2015,U_2025,U_2019] :
( ~ r2_hidden(k4_tarski(U_2015,sK143(U_2019,U_2025)),U_2019)
| ~ sP215(U_2015,U_2025,U_2019) )
& ! [U_2015,U_2025,U_2019] :
( r2_hidden(sK143(U_2019,U_2025),U_2025)
| ~ sP215(U_2015,U_2025,U_2019) )
& ! [U_2024,U_2020,U_2021,U_2013,U_2019] :
( r2_hidden(U_2021,U_2024)
| ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019)
| ~ sP214(U_2024,U_2020,U_2021,U_2013,U_2019) )
& ! [U_2024,U_2020,U_2021,U_2013,U_2019] :
( r2_hidden(k4_tarski(sK142(U_2019,U_2024,U_2020),U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024)
| ~ sP214(U_2024,U_2020,U_2021,U_2013,U_2019) )
& ! [U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019] :
( U_2025 = k2_relat_1(U_2019)
| sP216(U_2025,U_2019)
| sP215(U_2015,U_2025,U_2019)
| ~ sP217(U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019) )
& ! [U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019] :
( sP214(U_2024,U_2020,U_2021,U_2013,U_2019)
| U_2024 != k2_relat_1(U_2019)
| ~ sP217(U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019) )
& ! [U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019] :
( sP217(U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019)
| ~ v1_relat_1(U_2019) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP214,sP215,sP216,sP217])],[f_622_7]) ).
cnf(f_622_9,plain,
( sP217(U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019)
| ~ v1_relat_1(U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_10,plain,
( sP214(U_2024,U_2020,U_2021,U_2013,U_2019)
| U_2024 != k2_relat_1(U_2019)
| ~ sP217(U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_11,plain,
( U_2025 = k2_relat_1(U_2019)
| sP216(U_2025,U_2019)
| sP215(U_2015,U_2025,U_2019)
| ~ sP217(U_2024,U_2020,U_2021,U_2013,U_2015,U_2025,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_12,plain,
( r2_hidden(k4_tarski(sK142(U_2019,U_2024,U_2020),U_2020),U_2019)
| ~ r2_hidden(U_2020,U_2024)
| ~ sP214(U_2024,U_2020,U_2021,U_2013,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_13,plain,
( r2_hidden(U_2021,U_2024)
| ~ r2_hidden(k4_tarski(U_2013,U_2021),U_2019)
| ~ sP214(U_2024,U_2020,U_2021,U_2013,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_14,plain,
( r2_hidden(sK143(U_2019,U_2025),U_2025)
| ~ sP215(U_2015,U_2025,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_15,plain,
( ~ r2_hidden(k4_tarski(U_2015,sK143(U_2019,U_2025)),U_2019)
| ~ sP215(U_2015,U_2025,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_16,plain,
( r2_hidden(k4_tarski(sK145(U_2019,U_2025),sK144(U_2019,U_2025)),U_2019)
| ~ sP216(U_2025,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
cnf(f_622_17,plain,
( ~ r2_hidden(sK144(U_2019,U_2025),U_2025)
| ~ sP216(U_2025,U_2019) ),
inference(clausify,[status(thm)],[f_622_8]) ).
fof(f_623_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_relat_1]) ).
fof(f_623_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_623_1]) ).
cnf(f_623_3,plain,
$true,
inference(clausify,[status(thm)],[f_623_2]) ).
fof(f_624_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_relat_1]) ).
fof(f_624_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_624_1]) ).
cnf(f_624_3,plain,
$true,
inference(clausify,[status(thm)],[f_624_2]) ).
fof(f_625_1,plain,
! [A,B] :
( ? [C] : r2_hidden(C,k2_relat_1(B))
| ~ r2_hidden(A,k1_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t18_relat_1]) ).
fof(f_625_2,plain,
! [U_2028,U_2027] :
( ? [U_2026] : r2_hidden(U_2026,k2_relat_1(U_2027))
| ~ r2_hidden(U_2028,k1_relat_1(U_2027))
| ~ v1_relat_1(U_2027) ),
inference(variable_rename,[status(thm)],[f_625_1]) ).
fof(f_625_3,plain,
! [U_2028,U_2027] :
( r2_hidden(sK146(U_2028,U_2027),k2_relat_1(U_2027))
| ~ r2_hidden(U_2028,k1_relat_1(U_2027))
| ~ v1_relat_1(U_2027) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146]),skolemize(U_2026,sK146(U_2028,U_2027))],[f_625_2]) ).
fof(f_625_4,plain,
! [U_2028,U_2027] :
( r2_hidden(sK146(U_2028,U_2027),k2_relat_1(U_2027))
| ~ r2_hidden(U_2028,k1_relat_1(U_2027))
| ~ v1_relat_1(U_2027) ),
inference(definitional_conversion,[status(esa)],[f_625_3]) ).
cnf(f_625_5,plain,
( r2_hidden(sK146(U_2028,U_2027),k2_relat_1(U_2027))
| ~ r2_hidden(U_2028,k1_relat_1(U_2027))
| ~ v1_relat_1(U_2027) ),
inference(clausify,[status(thm)],[f_625_4]) ).
fof(f_626_1,plain,
! [A,B] :
( ? [C] : r2_hidden(C,k1_relat_1(B))
| ~ r2_hidden(A,k2_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t19_relat_1]) ).
fof(f_626_2,plain,
! [U_2031,U_2030] :
( ? [U_2029] : r2_hidden(U_2029,k1_relat_1(U_2030))
| ~ r2_hidden(U_2031,k2_relat_1(U_2030))
| ~ v1_relat_1(U_2030) ),
inference(variable_rename,[status(thm)],[f_626_1]) ).
fof(f_626_3,plain,
! [U_2031,U_2030] :
( r2_hidden(sK147(U_2031,U_2030),k1_relat_1(U_2030))
| ~ r2_hidden(U_2031,k2_relat_1(U_2030))
| ~ v1_relat_1(U_2030) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK147]),skolemize(U_2029,sK147(U_2031,U_2030))],[f_626_2]) ).
fof(f_626_4,plain,
! [U_2031,U_2030] :
( r2_hidden(sK147(U_2031,U_2030),k1_relat_1(U_2030))
| ~ r2_hidden(U_2031,k2_relat_1(U_2030))
| ~ v1_relat_1(U_2030) ),
inference(definitional_conversion,[status(esa)],[f_626_3]) ).
cnf(f_626_5,plain,
( r2_hidden(sK147(U_2031,U_2030),k1_relat_1(U_2030))
| ~ r2_hidden(U_2031,k2_relat_1(U_2030))
| ~ v1_relat_1(U_2030) ),
inference(clausify,[status(thm)],[f_626_4]) ).
fof(f_627_1,plain,
! [A,B,C] :
( ( r2_hidden(B,k2_relat_1(C))
& r2_hidden(A,k1_relat_1(C)) )
| ~ r2_hidden(k4_tarski(A,B),C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t20_relat_1]) ).
fof(f_627_2,plain,
! [U_2034,U_2033,U_2032] :
( ( r2_hidden(U_2033,k2_relat_1(U_2032))
& r2_hidden(U_2034,k1_relat_1(U_2032)) )
| ~ r2_hidden(k4_tarski(U_2034,U_2033),U_2032)
| ~ v1_relat_1(U_2032) ),
inference(variable_rename,[status(thm)],[f_627_1]) ).
fof(f_627_3,plain,
( ! [U_2034,U_2033,U_2032] :
( r2_hidden(U_2033,k2_relat_1(U_2032))
| ~ sP218(U_2034,U_2033,U_2032) )
& ! [U_2034,U_2033,U_2032] :
( r2_hidden(U_2034,k1_relat_1(U_2032))
| ~ sP218(U_2034,U_2033,U_2032) )
& ! [U_2034,U_2033,U_2032] :
( sP218(U_2034,U_2033,U_2032)
| ~ r2_hidden(k4_tarski(U_2034,U_2033),U_2032)
| ~ v1_relat_1(U_2032) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP218])],[f_627_2]) ).
cnf(f_627_4,plain,
( sP218(U_2034,U_2033,U_2032)
| ~ r2_hidden(k4_tarski(U_2034,U_2033),U_2032)
| ~ v1_relat_1(U_2032) ),
inference(clausify,[status(thm)],[f_627_3]) ).
cnf(f_627_5,plain,
( r2_hidden(U_2034,k1_relat_1(U_2032))
| ~ sP218(U_2034,U_2033,U_2032) ),
inference(clausify,[status(thm)],[f_627_3]) ).
cnf(f_627_6,plain,
( r2_hidden(U_2033,k2_relat_1(U_2032))
| ~ sP218(U_2034,U_2033,U_2032) ),
inference(clausify,[status(thm)],[f_627_3]) ).
fof(f_628_1,plain,
! [A] :
( r1_tarski(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A)))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t21_relat_1]) ).
fof(f_628_2,plain,
! [U_2035] :
( r1_tarski(U_2035,k2_zfmisc_1(k1_relat_1(U_2035),k2_relat_1(U_2035)))
| ~ v1_relat_1(U_2035) ),
inference(variable_rename,[status(thm)],[f_628_1]) ).
fof(f_628_3,plain,
! [U_2035] :
( r1_tarski(U_2035,k2_zfmisc_1(k1_relat_1(U_2035),k2_relat_1(U_2035)))
| ~ v1_relat_1(U_2035) ),
inference(definitional_conversion,[status(esa)],[f_628_2]) ).
cnf(f_628_4,plain,
( r1_tarski(U_2035,k2_zfmisc_1(k1_relat_1(U_2035),k2_relat_1(U_2035)))
| ~ v1_relat_1(U_2035) ),
inference(clausify,[status(thm)],[f_628_3]) ).
fof(f_629_1,plain,
! [A] :
( k3_xboole_0(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t22_relat_1]) ).
fof(f_629_2,plain,
! [U_2036] :
( k3_xboole_0(U_2036,k2_zfmisc_1(k1_relat_1(U_2036),k2_relat_1(U_2036))) = U_2036
| ~ v1_relat_1(U_2036) ),
inference(variable_rename,[status(thm)],[f_629_1]) ).
fof(f_629_3,plain,
! [U_2036] :
( k3_xboole_0(U_2036,k2_zfmisc_1(k1_relat_1(U_2036),k2_relat_1(U_2036))) = U_2036
| ~ v1_relat_1(U_2036) ),
inference(definitional_conversion,[status(esa)],[f_629_2]) ).
cnf(f_629_4,plain,
( k3_xboole_0(U_2036,k2_zfmisc_1(k1_relat_1(U_2036),k2_relat_1(U_2036))) = U_2036
| ~ v1_relat_1(U_2036) ),
inference(clausify,[status(thm)],[f_629_3]) ).
fof(f_630_1,plain,
! [A,B,C] :
( ( k2_relat_1(C) = k1_tarski(B)
& k1_relat_1(C) = k1_tarski(A) )
| C != k1_tarski(k4_tarski(A,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t23_relat_1]) ).
fof(f_630_2,plain,
! [U_2039,U_2038,U_2037] :
( ( k2_relat_1(U_2037) = k1_tarski(U_2038)
& k1_relat_1(U_2037) = k1_tarski(U_2039) )
| U_2037 != k1_tarski(k4_tarski(U_2039,U_2038))
| ~ v1_relat_1(U_2037) ),
inference(variable_rename,[status(thm)],[f_630_1]) ).
fof(f_630_3,plain,
( ! [U_2037,U_2038,U_2039] :
( k2_relat_1(U_2037) = k1_tarski(U_2038)
| ~ sP219(U_2037,U_2038,U_2039) )
& ! [U_2037,U_2038,U_2039] :
( k1_relat_1(U_2037) = k1_tarski(U_2039)
| ~ sP219(U_2037,U_2038,U_2039) )
& ! [U_2037,U_2038,U_2039] :
( sP219(U_2037,U_2038,U_2039)
| U_2037 != k1_tarski(k4_tarski(U_2039,U_2038))
| ~ v1_relat_1(U_2037) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP219])],[f_630_2]) ).
cnf(f_630_4,plain,
( sP219(U_2037,U_2038,U_2039)
| U_2037 != k1_tarski(k4_tarski(U_2039,U_2038))
| ~ v1_relat_1(U_2037) ),
inference(clausify,[status(thm)],[f_630_3]) ).
cnf(f_630_5,plain,
( k1_relat_1(U_2037) = k1_tarski(U_2039)
| ~ sP219(U_2037,U_2038,U_2039) ),
inference(clausify,[status(thm)],[f_630_3]) ).
cnf(f_630_6,plain,
( k2_relat_1(U_2037) = k1_tarski(U_2038)
| ~ sP219(U_2037,U_2038,U_2039) ),
inference(clausify,[status(thm)],[f_630_3]) ).
fof(f_631_1,plain,
! [A,B,C,D,E] :
( ( k2_relat_1(E) = k2_tarski(B,D)
& k1_relat_1(E) = k2_tarski(A,C) )
| E != k2_tarski(k4_tarski(A,B),k4_tarski(C,D))
| ~ v1_relat_1(E) ),
inference(fof_nnf,[status(thm)],[t24_relat_1]) ).
fof(f_631_2,plain,
! [U_2044,U_2043,U_2042,U_2041,U_2040] :
( ( k2_relat_1(U_2040) = k2_tarski(U_2043,U_2041)
& k1_relat_1(U_2040) = k2_tarski(U_2044,U_2042) )
| U_2040 != k2_tarski(k4_tarski(U_2044,U_2043),k4_tarski(U_2042,U_2041))
| ~ v1_relat_1(U_2040) ),
inference(variable_rename,[status(thm)],[f_631_1]) ).
fof(f_631_3,plain,
( ! [U_2044,U_2043,U_2041,U_2040,U_2042] :
( k2_relat_1(U_2040) = k2_tarski(U_2043,U_2041)
| ~ sP220(U_2044,U_2043,U_2041,U_2040,U_2042) )
& ! [U_2044,U_2043,U_2041,U_2040,U_2042] :
( k1_relat_1(U_2040) = k2_tarski(U_2044,U_2042)
| ~ sP220(U_2044,U_2043,U_2041,U_2040,U_2042) )
& ! [U_2044,U_2043,U_2041,U_2040,U_2042] :
( sP220(U_2044,U_2043,U_2041,U_2040,U_2042)
| U_2040 != k2_tarski(k4_tarski(U_2044,U_2043),k4_tarski(U_2042,U_2041))
| ~ v1_relat_1(U_2040) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP220])],[f_631_2]) ).
cnf(f_631_4,plain,
( sP220(U_2044,U_2043,U_2041,U_2040,U_2042)
| U_2040 != k2_tarski(k4_tarski(U_2044,U_2043),k4_tarski(U_2042,U_2041))
| ~ v1_relat_1(U_2040) ),
inference(clausify,[status(thm)],[f_631_3]) ).
cnf(f_631_5,plain,
( k1_relat_1(U_2040) = k2_tarski(U_2044,U_2042)
| ~ sP220(U_2044,U_2043,U_2041,U_2040,U_2042) ),
inference(clausify,[status(thm)],[f_631_3]) ).
cnf(f_631_6,plain,
( k2_relat_1(U_2040) = k2_tarski(U_2043,U_2041)
| ~ sP220(U_2044,U_2043,U_2041,U_2040,U_2042) ),
inference(clausify,[status(thm)],[f_631_3]) ).
fof(f_632_1,plain,
! [A] :
( ! [B] :
( ( r1_tarski(k2_relat_1(A),k2_relat_1(B))
& r1_tarski(k1_relat_1(A),k1_relat_1(B)) )
| ~ r1_tarski(A,B)
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t25_relat_1]) ).
fof(f_632_2,plain,
! [U_2046] :
( ! [U_2045] :
( ( r1_tarski(k2_relat_1(U_2046),k2_relat_1(U_2045))
& r1_tarski(k1_relat_1(U_2046),k1_relat_1(U_2045)) )
| ~ r1_tarski(U_2046,U_2045)
| ~ v1_relat_1(U_2045) )
| ~ v1_relat_1(U_2046) ),
inference(variable_rename,[status(thm)],[f_632_1]) ).
fof(f_632_3,plain,
( ! [U_2045,U_2046] :
( r1_tarski(k2_relat_1(U_2046),k2_relat_1(U_2045))
| ~ sP221(U_2045,U_2046) )
& ! [U_2045,U_2046] :
( r1_tarski(k1_relat_1(U_2046),k1_relat_1(U_2045))
| ~ sP221(U_2045,U_2046) )
& ! [U_2045,U_2046] :
( sP221(U_2045,U_2046)
| ~ r1_tarski(U_2046,U_2045)
| ~ v1_relat_1(U_2045)
| ~ v1_relat_1(U_2046) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP221])],[f_632_2]) ).
cnf(f_632_4,plain,
( sP221(U_2045,U_2046)
| ~ r1_tarski(U_2046,U_2045)
| ~ v1_relat_1(U_2045)
| ~ v1_relat_1(U_2046) ),
inference(clausify,[status(thm)],[f_632_3]) ).
cnf(f_632_5,plain,
( r1_tarski(k1_relat_1(U_2046),k1_relat_1(U_2045))
| ~ sP221(U_2045,U_2046) ),
inference(clausify,[status(thm)],[f_632_3]) ).
cnf(f_632_6,plain,
( r1_tarski(k2_relat_1(U_2046),k2_relat_1(U_2045))
| ~ sP221(U_2045,U_2046) ),
inference(clausify,[status(thm)],[f_632_3]) ).
fof(f_633_1,plain,
! [A] :
( ! [B] :
( k2_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t26_relat_1]) ).
fof(f_633_2,plain,
! [U_2048] :
( ! [U_2047] :
( k2_relat_1(k2_xboole_0(U_2048,U_2047)) = k2_xboole_0(k2_relat_1(U_2048),k2_relat_1(U_2047))
| ~ v1_relat_1(U_2047) )
| ~ v1_relat_1(U_2048) ),
inference(variable_rename,[status(thm)],[f_633_1]) ).
fof(f_633_3,plain,
! [U_2048,U_2047] :
( k2_relat_1(k2_xboole_0(U_2048,U_2047)) = k2_xboole_0(k2_relat_1(U_2048),k2_relat_1(U_2047))
| ~ v1_relat_1(U_2047)
| ~ v1_relat_1(U_2048) ),
inference(definitional_conversion,[status(esa)],[f_633_2]) ).
cnf(f_633_4,plain,
( k2_relat_1(k2_xboole_0(U_2048,U_2047)) = k2_xboole_0(k2_relat_1(U_2048),k2_relat_1(U_2047))
| ~ v1_relat_1(U_2047)
| ~ v1_relat_1(U_2048) ),
inference(clausify,[status(thm)],[f_633_3]) ).
fof(f_634_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k2_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k2_relat_1(A),k2_relat_1(B)))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t27_relat_1]) ).
fof(f_634_2,plain,
! [U_2050] :
( ! [U_2049] :
( r1_tarski(k2_relat_1(k3_xboole_0(U_2050,U_2049)),k3_xboole_0(k2_relat_1(U_2050),k2_relat_1(U_2049)))
| ~ v1_relat_1(U_2049) )
| ~ v1_relat_1(U_2050) ),
inference(variable_rename,[status(thm)],[f_634_1]) ).
fof(f_634_3,plain,
! [U_2050,U_2049] :
( r1_tarski(k2_relat_1(k3_xboole_0(U_2050,U_2049)),k3_xboole_0(k2_relat_1(U_2050),k2_relat_1(U_2049)))
| ~ v1_relat_1(U_2049)
| ~ v1_relat_1(U_2050) ),
inference(definitional_conversion,[status(esa)],[f_634_2]) ).
cnf(f_634_4,plain,
( r1_tarski(k2_relat_1(k3_xboole_0(U_2050,U_2049)),k3_xboole_0(k2_relat_1(U_2050),k2_relat_1(U_2049)))
| ~ v1_relat_1(U_2049)
| ~ v1_relat_1(U_2050) ),
inference(clausify,[status(thm)],[f_634_3]) ).
fof(f_635_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k4_xboole_0(k2_relat_1(A),k2_relat_1(B)),k2_relat_1(k4_xboole_0(A,B)))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t28_relat_1]) ).
fof(f_635_2,plain,
! [U_2052] :
( ! [U_2051] :
( r1_tarski(k4_xboole_0(k2_relat_1(U_2052),k2_relat_1(U_2051)),k2_relat_1(k4_xboole_0(U_2052,U_2051)))
| ~ v1_relat_1(U_2051) )
| ~ v1_relat_1(U_2052) ),
inference(variable_rename,[status(thm)],[f_635_1]) ).
fof(f_635_3,plain,
! [U_2052,U_2051] :
( r1_tarski(k4_xboole_0(k2_relat_1(U_2052),k2_relat_1(U_2051)),k2_relat_1(k4_xboole_0(U_2052,U_2051)))
| ~ v1_relat_1(U_2051)
| ~ v1_relat_1(U_2052) ),
inference(definitional_conversion,[status(esa)],[f_635_2]) ).
cnf(f_635_4,plain,
( r1_tarski(k4_xboole_0(k2_relat_1(U_2052),k2_relat_1(U_2051)),k2_relat_1(k4_xboole_0(U_2052,U_2051)))
| ~ v1_relat_1(U_2051)
| ~ v1_relat_1(U_2052) ),
inference(clausify,[status(thm)],[f_635_3]) ).
fof(f_636_1,plain,
! [A] :
( k3_relat_1(A) = k2_xboole_0(k1_relat_1(A),k2_relat_1(A))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d6_relat_1]) ).
fof(f_636_2,plain,
! [U_2053] :
( k3_relat_1(U_2053) = k2_xboole_0(k1_relat_1(U_2053),k2_relat_1(U_2053))
| ~ v1_relat_1(U_2053) ),
inference(variable_rename,[status(thm)],[f_636_1]) ).
fof(f_636_3,plain,
! [U_2053] :
( k3_relat_1(U_2053) = k2_xboole_0(k1_relat_1(U_2053),k2_relat_1(U_2053))
| ~ v1_relat_1(U_2053) ),
inference(definitional_conversion,[status(esa)],[f_636_2]) ).
cnf(f_636_4,plain,
( k3_relat_1(U_2053) = k2_xboole_0(k1_relat_1(U_2053),k2_relat_1(U_2053))
| ~ v1_relat_1(U_2053) ),
inference(clausify,[status(thm)],[f_636_3]) ).
fof(f_637_1,plain,
! [A] :
( ( r1_tarski(k2_relat_1(A),k3_relat_1(A))
& r1_tarski(k1_relat_1(A),k3_relat_1(A)) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t29_relat_1]) ).
fof(f_637_2,plain,
! [U_2054] :
( ( r1_tarski(k2_relat_1(U_2054),k3_relat_1(U_2054))
& r1_tarski(k1_relat_1(U_2054),k3_relat_1(U_2054)) )
| ~ v1_relat_1(U_2054) ),
inference(variable_rename,[status(thm)],[f_637_1]) ).
fof(f_637_3,plain,
( ! [U_2054] :
( r1_tarski(k2_relat_1(U_2054),k3_relat_1(U_2054))
| ~ sP222(U_2054) )
& ! [U_2054] :
( r1_tarski(k1_relat_1(U_2054),k3_relat_1(U_2054))
| ~ sP222(U_2054) )
& ! [U_2054] :
( sP222(U_2054)
| ~ v1_relat_1(U_2054) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP222])],[f_637_2]) ).
cnf(f_637_4,plain,
( sP222(U_2054)
| ~ v1_relat_1(U_2054) ),
inference(clausify,[status(thm)],[f_637_3]) ).
cnf(f_637_5,plain,
( r1_tarski(k1_relat_1(U_2054),k3_relat_1(U_2054))
| ~ sP222(U_2054) ),
inference(clausify,[status(thm)],[f_637_3]) ).
cnf(f_637_6,plain,
( r1_tarski(k2_relat_1(U_2054),k3_relat_1(U_2054))
| ~ sP222(U_2054) ),
inference(clausify,[status(thm)],[f_637_3]) ).
fof(f_638_1,plain,
! [A,B,C] :
( ( r2_hidden(B,k3_relat_1(C))
& r2_hidden(A,k3_relat_1(C)) )
| ~ r2_hidden(k4_tarski(A,B),C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t30_relat_1]) ).
fof(f_638_2,plain,
! [U_2057,U_2056,U_2055] :
( ( r2_hidden(U_2056,k3_relat_1(U_2055))
& r2_hidden(U_2057,k3_relat_1(U_2055)) )
| ~ r2_hidden(k4_tarski(U_2057,U_2056),U_2055)
| ~ v1_relat_1(U_2055) ),
inference(variable_rename,[status(thm)],[f_638_1]) ).
fof(f_638_3,plain,
( ! [U_2055,U_2056,U_2057] :
( r2_hidden(U_2056,k3_relat_1(U_2055))
| ~ sP223(U_2055,U_2056,U_2057) )
& ! [U_2055,U_2056,U_2057] :
( r2_hidden(U_2057,k3_relat_1(U_2055))
| ~ sP223(U_2055,U_2056,U_2057) )
& ! [U_2055,U_2056,U_2057] :
( sP223(U_2055,U_2056,U_2057)
| ~ r2_hidden(k4_tarski(U_2057,U_2056),U_2055)
| ~ v1_relat_1(U_2055) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP223])],[f_638_2]) ).
cnf(f_638_4,plain,
( sP223(U_2055,U_2056,U_2057)
| ~ r2_hidden(k4_tarski(U_2057,U_2056),U_2055)
| ~ v1_relat_1(U_2055) ),
inference(clausify,[status(thm)],[f_638_3]) ).
cnf(f_638_5,plain,
( r2_hidden(U_2057,k3_relat_1(U_2055))
| ~ sP223(U_2055,U_2056,U_2057) ),
inference(clausify,[status(thm)],[f_638_3]) ).
cnf(f_638_6,plain,
( r2_hidden(U_2056,k3_relat_1(U_2055))
| ~ sP223(U_2055,U_2056,U_2057) ),
inference(clausify,[status(thm)],[f_638_3]) ).
fof(f_639_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k3_relat_1(A),k3_relat_1(B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t31_relat_1]) ).
fof(f_639_2,plain,
! [U_2059] :
( ! [U_2058] :
( r1_tarski(k3_relat_1(U_2059),k3_relat_1(U_2058))
| ~ r1_tarski(U_2059,U_2058)
| ~ v1_relat_1(U_2058) )
| ~ v1_relat_1(U_2059) ),
inference(variable_rename,[status(thm)],[f_639_1]) ).
fof(f_639_3,plain,
! [U_2059,U_2058] :
( r1_tarski(k3_relat_1(U_2059),k3_relat_1(U_2058))
| ~ r1_tarski(U_2059,U_2058)
| ~ v1_relat_1(U_2058)
| ~ v1_relat_1(U_2059) ),
inference(definitional_conversion,[status(esa)],[f_639_2]) ).
cnf(f_639_4,plain,
( r1_tarski(k3_relat_1(U_2059),k3_relat_1(U_2058))
| ~ r1_tarski(U_2059,U_2058)
| ~ v1_relat_1(U_2058)
| ~ v1_relat_1(U_2059) ),
inference(clausify,[status(thm)],[f_639_3]) ).
fof(f_640_1,plain,
! [A,B,C] :
( k3_relat_1(C) = k2_tarski(A,B)
| C != k1_tarski(k4_tarski(A,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t32_relat_1]) ).
fof(f_640_2,plain,
! [U_2062,U_2061,U_2060] :
( k3_relat_1(U_2060) = k2_tarski(U_2062,U_2061)
| U_2060 != k1_tarski(k4_tarski(U_2062,U_2061))
| ~ v1_relat_1(U_2060) ),
inference(variable_rename,[status(thm)],[f_640_1]) ).
fof(f_640_3,plain,
! [U_2062,U_2060,U_2061] :
( k3_relat_1(U_2060) = k2_tarski(U_2062,U_2061)
| U_2060 != k1_tarski(k4_tarski(U_2062,U_2061))
| ~ v1_relat_1(U_2060) ),
inference(definitional_conversion,[status(esa)],[f_640_2]) ).
cnf(f_640_4,plain,
( k3_relat_1(U_2060) = k2_tarski(U_2062,U_2061)
| U_2060 != k1_tarski(k4_tarski(U_2062,U_2061))
| ~ v1_relat_1(U_2060) ),
inference(clausify,[status(thm)],[f_640_3]) ).
fof(f_641_1,plain,
! [A] :
( ! [B] :
( k3_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k3_relat_1(A),k3_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t33_relat_1]) ).
fof(f_641_2,plain,
! [U_2064] :
( ! [U_2063] :
( k3_relat_1(k2_xboole_0(U_2064,U_2063)) = k2_xboole_0(k3_relat_1(U_2064),k3_relat_1(U_2063))
| ~ v1_relat_1(U_2063) )
| ~ v1_relat_1(U_2064) ),
inference(variable_rename,[status(thm)],[f_641_1]) ).
fof(f_641_3,plain,
! [U_2063,U_2064] :
( k3_relat_1(k2_xboole_0(U_2064,U_2063)) = k2_xboole_0(k3_relat_1(U_2064),k3_relat_1(U_2063))
| ~ v1_relat_1(U_2063)
| ~ v1_relat_1(U_2064) ),
inference(definitional_conversion,[status(esa)],[f_641_2]) ).
cnf(f_641_4,plain,
( k3_relat_1(k2_xboole_0(U_2064,U_2063)) = k2_xboole_0(k3_relat_1(U_2064),k3_relat_1(U_2063))
| ~ v1_relat_1(U_2063)
| ~ v1_relat_1(U_2064) ),
inference(clausify,[status(thm)],[f_641_3]) ).
fof(f_642_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k3_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k3_relat_1(A),k3_relat_1(B)))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t34_relat_1]) ).
fof(f_642_2,plain,
! [U_2066] :
( ! [U_2065] :
( r1_tarski(k3_relat_1(k3_xboole_0(U_2066,U_2065)),k3_xboole_0(k3_relat_1(U_2066),k3_relat_1(U_2065)))
| ~ v1_relat_1(U_2065) )
| ~ v1_relat_1(U_2066) ),
inference(variable_rename,[status(thm)],[f_642_1]) ).
fof(f_642_3,plain,
! [U_2065,U_2066] :
( r1_tarski(k3_relat_1(k3_xboole_0(U_2066,U_2065)),k3_xboole_0(k3_relat_1(U_2066),k3_relat_1(U_2065)))
| ~ v1_relat_1(U_2065)
| ~ v1_relat_1(U_2066) ),
inference(definitional_conversion,[status(esa)],[f_642_2]) ).
cnf(f_642_4,plain,
( r1_tarski(k3_relat_1(k3_xboole_0(U_2066,U_2065)),k3_xboole_0(k3_relat_1(U_2066),k3_relat_1(U_2065)))
| ~ v1_relat_1(U_2065)
| ~ v1_relat_1(U_2066) ),
inference(clausify,[status(thm)],[f_642_3]) ).
fof(f_643_1,plain,
! [A] :
( ! [B] :
( ( ( B = k4_relat_1(A)
| ? [C,D] :
( ( ~ r2_hidden(k4_tarski(C,D),B)
& r2_hidden(k4_tarski(D,C),A) )
| ( ~ r2_hidden(k4_tarski(D,C),A)
& r2_hidden(k4_tarski(C,D),B) ) ) )
& ( ! [C,D] :
( ( r2_hidden(k4_tarski(C,D),B)
| ~ r2_hidden(k4_tarski(D,C),A) )
& ( r2_hidden(k4_tarski(D,C),A)
| ~ r2_hidden(k4_tarski(C,D),B) ) )
| B != k4_relat_1(A) ) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d7_relat_1]) ).
fof(f_643_2,plain,
! [U_2072] :
( ! [U_2071] :
( ( ( U_2071 = k4_relat_1(U_2072)
| ? [U_2070,U_2069] :
( ( ~ r2_hidden(k4_tarski(U_2070,U_2069),U_2071)
& r2_hidden(k4_tarski(U_2069,U_2070),U_2072) )
| ( ~ r2_hidden(k4_tarski(U_2069,U_2070),U_2072)
& r2_hidden(k4_tarski(U_2070,U_2069),U_2071) ) ) )
& ( ! [U_2068,U_2067] :
( ( r2_hidden(k4_tarski(U_2068,U_2067),U_2071)
| ~ r2_hidden(k4_tarski(U_2067,U_2068),U_2072) )
& ( r2_hidden(k4_tarski(U_2067,U_2068),U_2072)
| ~ r2_hidden(k4_tarski(U_2068,U_2067),U_2071) ) )
| U_2071 != k4_relat_1(U_2072) ) )
| ~ v1_relat_1(U_2071) )
| ~ v1_relat_1(U_2072) ),
inference(variable_rename,[status(thm)],[f_643_1]) ).
fof(f_643_3,plain,
! [U_2072] :
( ! [U_2071] :
( ( ( U_2071 = k4_relat_1(U_2072)
| ? [U_2080,U_2078] :
( ~ r2_hidden(k4_tarski(U_2080,U_2078),U_2071)
& r2_hidden(k4_tarski(U_2078,U_2080),U_2072) )
| ? [U_2079,U_2077] :
( ~ r2_hidden(k4_tarski(U_2077,U_2079),U_2072)
& r2_hidden(k4_tarski(U_2079,U_2077),U_2071) ) )
& ( ( ! [U_2076,U_2074] :
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072) )
& ! [U_2075,U_2073] :
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071) ) )
| U_2071 != k4_relat_1(U_2072) ) )
| ~ v1_relat_1(U_2071) )
| ~ v1_relat_1(U_2072) ),
inference(miniscope,[status(thm)],[f_643_2]) ).
fof(f_643_4,plain,
! [U_2072] :
( ! [U_2071] :
( ( ( U_2071 = k4_relat_1(U_2072)
| ? [U_2080,U_2078] :
( ~ r2_hidden(k4_tarski(U_2080,U_2078),U_2071)
& r2_hidden(k4_tarski(U_2078,U_2080),U_2072) )
| ? [U_2077] :
( ~ r2_hidden(k4_tarski(U_2077,sK148(U_2072,U_2071)),U_2072)
& r2_hidden(k4_tarski(sK148(U_2072,U_2071),U_2077),U_2071) ) )
& ( ( ! [U_2076,U_2074] :
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072) )
& ! [U_2075,U_2073] :
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071) ) )
| U_2071 != k4_relat_1(U_2072) ) )
| ~ v1_relat_1(U_2071) )
| ~ v1_relat_1(U_2072) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK148]),skolemize(U_2079,sK148(U_2072,U_2071))],[f_643_3]) ).
fof(f_643_5,plain,
! [U_2072] :
( ! [U_2071] :
( ( ( U_2071 = k4_relat_1(U_2072)
| ? [U_2080,U_2078] :
( ~ r2_hidden(k4_tarski(U_2080,U_2078),U_2071)
& r2_hidden(k4_tarski(U_2078,U_2080),U_2072) )
| ( ~ r2_hidden(k4_tarski(sK149(U_2072,U_2071),sK148(U_2072,U_2071)),U_2072)
& r2_hidden(k4_tarski(sK148(U_2072,U_2071),sK149(U_2072,U_2071)),U_2071) ) )
& ( ( ! [U_2076,U_2074] :
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072) )
& ! [U_2075,U_2073] :
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071) ) )
| U_2071 != k4_relat_1(U_2072) ) )
| ~ v1_relat_1(U_2071) )
| ~ v1_relat_1(U_2072) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK149]),skolemize(U_2077,sK149(U_2072,U_2071))],[f_643_4]) ).
fof(f_643_6,plain,
! [U_2072] :
( ! [U_2071] :
( ( ( U_2071 = k4_relat_1(U_2072)
| ? [U_2078] :
( ~ r2_hidden(k4_tarski(sK150(U_2072,U_2071),U_2078),U_2071)
& r2_hidden(k4_tarski(U_2078,sK150(U_2072,U_2071)),U_2072) )
| ( ~ r2_hidden(k4_tarski(sK149(U_2072,U_2071),sK148(U_2072,U_2071)),U_2072)
& r2_hidden(k4_tarski(sK148(U_2072,U_2071),sK149(U_2072,U_2071)),U_2071) ) )
& ( ( ! [U_2076,U_2074] :
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072) )
& ! [U_2075,U_2073] :
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071) ) )
| U_2071 != k4_relat_1(U_2072) ) )
| ~ v1_relat_1(U_2071) )
| ~ v1_relat_1(U_2072) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK150]),skolemize(U_2080,sK150(U_2072,U_2071))],[f_643_5]) ).
fof(f_643_7,plain,
! [U_2072] :
( ! [U_2071] :
( ( ( U_2071 = k4_relat_1(U_2072)
| ( ~ r2_hidden(k4_tarski(sK150(U_2072,U_2071),sK151(U_2072,U_2071)),U_2071)
& r2_hidden(k4_tarski(sK151(U_2072,U_2071),sK150(U_2072,U_2071)),U_2072) )
| ( ~ r2_hidden(k4_tarski(sK149(U_2072,U_2071),sK148(U_2072,U_2071)),U_2072)
& r2_hidden(k4_tarski(sK148(U_2072,U_2071),sK149(U_2072,U_2071)),U_2071) ) )
& ( ( ! [U_2076,U_2074] :
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072) )
& ! [U_2075,U_2073] :
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071) ) )
| U_2071 != k4_relat_1(U_2072) ) )
| ~ v1_relat_1(U_2071) )
| ~ v1_relat_1(U_2072) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK151]),skolemize(U_2078,sK151(U_2072,U_2071))],[f_643_6]) ).
fof(f_643_8,plain,
( ! [U_2071,U_2072] :
( ~ r2_hidden(k4_tarski(sK150(U_2072,U_2071),sK151(U_2072,U_2071)),U_2071)
| ~ sP226(U_2071,U_2072) )
& ! [U_2071,U_2072] :
( r2_hidden(k4_tarski(sK151(U_2072,U_2071),sK150(U_2072,U_2071)),U_2072)
| ~ sP226(U_2071,U_2072) )
& ! [U_2071,U_2072] :
( ~ r2_hidden(k4_tarski(sK149(U_2072,U_2071),sK148(U_2072,U_2071)),U_2072)
| ~ sP225(U_2071,U_2072) )
& ! [U_2071,U_2072] :
( r2_hidden(k4_tarski(sK148(U_2072,U_2071),sK149(U_2072,U_2071)),U_2071)
| ~ sP225(U_2071,U_2072) )
& ! [U_2074,U_2071,U_2072,U_2073,U_2075,U_2076] :
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072)
| ~ sP224(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) )
& ! [U_2074,U_2071,U_2072,U_2073,U_2075,U_2076] :
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071)
| ~ sP224(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) )
& ! [U_2074,U_2071,U_2072,U_2073,U_2075,U_2076] :
( U_2071 = k4_relat_1(U_2072)
| sP226(U_2071,U_2072)
| sP225(U_2071,U_2072)
| ~ sP227(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) )
& ! [U_2074,U_2071,U_2072,U_2073,U_2075,U_2076] :
( sP224(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076)
| U_2071 != k4_relat_1(U_2072)
| ~ sP227(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) )
& ! [U_2074,U_2071,U_2072,U_2073,U_2075,U_2076] :
( sP227(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076)
| ~ v1_relat_1(U_2071)
| ~ v1_relat_1(U_2072) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP224,sP225,sP226,sP227])],[f_643_7]) ).
cnf(f_643_9,plain,
( sP227(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076)
| ~ v1_relat_1(U_2071)
| ~ v1_relat_1(U_2072) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_10,plain,
( sP224(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076)
| U_2071 != k4_relat_1(U_2072)
| ~ sP227(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_11,plain,
( U_2071 = k4_relat_1(U_2072)
| sP226(U_2071,U_2072)
| sP225(U_2071,U_2072)
| ~ sP227(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_12,plain,
( r2_hidden(k4_tarski(U_2073,U_2075),U_2072)
| ~ r2_hidden(k4_tarski(U_2075,U_2073),U_2071)
| ~ sP224(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_13,plain,
( r2_hidden(k4_tarski(U_2076,U_2074),U_2071)
| ~ r2_hidden(k4_tarski(U_2074,U_2076),U_2072)
| ~ sP224(U_2074,U_2071,U_2072,U_2073,U_2075,U_2076) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_14,plain,
( r2_hidden(k4_tarski(sK148(U_2072,U_2071),sK149(U_2072,U_2071)),U_2071)
| ~ sP225(U_2071,U_2072) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_15,plain,
( ~ r2_hidden(k4_tarski(sK149(U_2072,U_2071),sK148(U_2072,U_2071)),U_2072)
| ~ sP225(U_2071,U_2072) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_16,plain,
( r2_hidden(k4_tarski(sK151(U_2072,U_2071),sK150(U_2072,U_2071)),U_2072)
| ~ sP226(U_2071,U_2072) ),
inference(clausify,[status(thm)],[f_643_8]) ).
cnf(f_643_17,plain,
( ~ r2_hidden(k4_tarski(sK150(U_2072,U_2071),sK151(U_2072,U_2071)),U_2071)
| ~ sP226(U_2071,U_2072) ),
inference(clausify,[status(thm)],[f_643_8]) ).
fof(f_644_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t35_relat_1]) ).
fof(f_644_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_644_1]) ).
cnf(f_644_3,plain,
$true,
inference(clausify,[status(thm)],[f_644_2]) ).
fof(f_645_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_relat_1]) ).
fof(f_645_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_645_1]) ).
cnf(f_645_3,plain,
$true,
inference(clausify,[status(thm)],[f_645_2]) ).
fof(f_646_1,plain,
! [A] :
( ( k1_relat_1(A) = k2_relat_1(k4_relat_1(A))
& k2_relat_1(A) = k1_relat_1(k4_relat_1(A)) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t37_relat_1]) ).
fof(f_646_2,plain,
! [U_2081] :
( ( k1_relat_1(U_2081) = k2_relat_1(k4_relat_1(U_2081))
& k2_relat_1(U_2081) = k1_relat_1(k4_relat_1(U_2081)) )
| ~ v1_relat_1(U_2081) ),
inference(variable_rename,[status(thm)],[f_646_1]) ).
fof(f_646_3,plain,
( ! [U_2081] :
( k1_relat_1(U_2081) = k2_relat_1(k4_relat_1(U_2081))
| ~ sP228(U_2081) )
& ! [U_2081] :
( k2_relat_1(U_2081) = k1_relat_1(k4_relat_1(U_2081))
| ~ sP228(U_2081) )
& ! [U_2081] :
( sP228(U_2081)
| ~ v1_relat_1(U_2081) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP228])],[f_646_2]) ).
cnf(f_646_4,plain,
( sP228(U_2081)
| ~ v1_relat_1(U_2081) ),
inference(clausify,[status(thm)],[f_646_3]) ).
cnf(f_646_5,plain,
( k2_relat_1(U_2081) = k1_relat_1(k4_relat_1(U_2081))
| ~ sP228(U_2081) ),
inference(clausify,[status(thm)],[f_646_3]) ).
cnf(f_646_6,plain,
( k1_relat_1(U_2081) = k2_relat_1(k4_relat_1(U_2081))
| ~ sP228(U_2081) ),
inference(clausify,[status(thm)],[f_646_3]) ).
fof(f_647_1,plain,
! [A] :
( k3_relat_1(A) = k3_relat_1(k4_relat_1(A))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t38_relat_1]) ).
fof(f_647_2,plain,
! [U_2082] :
( k3_relat_1(U_2082) = k3_relat_1(k4_relat_1(U_2082))
| ~ v1_relat_1(U_2082) ),
inference(variable_rename,[status(thm)],[f_647_1]) ).
fof(f_647_3,plain,
! [U_2082] :
( k3_relat_1(U_2082) = k3_relat_1(k4_relat_1(U_2082))
| ~ v1_relat_1(U_2082) ),
inference(definitional_conversion,[status(esa)],[f_647_2]) ).
cnf(f_647_4,plain,
( k3_relat_1(U_2082) = k3_relat_1(k4_relat_1(U_2082))
| ~ v1_relat_1(U_2082) ),
inference(clausify,[status(thm)],[f_647_3]) ).
fof(f_648_1,plain,
! [A] :
( ! [B] :
( k4_relat_1(k3_xboole_0(A,B)) = k3_xboole_0(k4_relat_1(A),k4_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t39_relat_1]) ).
fof(f_648_2,plain,
! [U_2084] :
( ! [U_2083] :
( k4_relat_1(k3_xboole_0(U_2084,U_2083)) = k3_xboole_0(k4_relat_1(U_2084),k4_relat_1(U_2083))
| ~ v1_relat_1(U_2083) )
| ~ v1_relat_1(U_2084) ),
inference(variable_rename,[status(thm)],[f_648_1]) ).
fof(f_648_3,plain,
! [U_2084,U_2083] :
( k4_relat_1(k3_xboole_0(U_2084,U_2083)) = k3_xboole_0(k4_relat_1(U_2084),k4_relat_1(U_2083))
| ~ v1_relat_1(U_2083)
| ~ v1_relat_1(U_2084) ),
inference(definitional_conversion,[status(esa)],[f_648_2]) ).
cnf(f_648_4,plain,
( k4_relat_1(k3_xboole_0(U_2084,U_2083)) = k3_xboole_0(k4_relat_1(U_2084),k4_relat_1(U_2083))
| ~ v1_relat_1(U_2083)
| ~ v1_relat_1(U_2084) ),
inference(clausify,[status(thm)],[f_648_3]) ).
fof(f_649_1,plain,
! [A] :
( ! [B] :
( k4_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k4_relat_1(A),k4_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t40_relat_1]) ).
fof(f_649_2,plain,
! [U_2086] :
( ! [U_2085] :
( k4_relat_1(k2_xboole_0(U_2086,U_2085)) = k2_xboole_0(k4_relat_1(U_2086),k4_relat_1(U_2085))
| ~ v1_relat_1(U_2085) )
| ~ v1_relat_1(U_2086) ),
inference(variable_rename,[status(thm)],[f_649_1]) ).
fof(f_649_3,plain,
! [U_2086,U_2085] :
( k4_relat_1(k2_xboole_0(U_2086,U_2085)) = k2_xboole_0(k4_relat_1(U_2086),k4_relat_1(U_2085))
| ~ v1_relat_1(U_2085)
| ~ v1_relat_1(U_2086) ),
inference(definitional_conversion,[status(esa)],[f_649_2]) ).
cnf(f_649_4,plain,
( k4_relat_1(k2_xboole_0(U_2086,U_2085)) = k2_xboole_0(k4_relat_1(U_2086),k4_relat_1(U_2085))
| ~ v1_relat_1(U_2085)
| ~ v1_relat_1(U_2086) ),
inference(clausify,[status(thm)],[f_649_3]) ).
fof(f_650_1,plain,
! [A] :
( ! [B] :
( k4_relat_1(k4_xboole_0(A,B)) = k4_xboole_0(k4_relat_1(A),k4_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t41_relat_1]) ).
fof(f_650_2,plain,
! [U_2088] :
( ! [U_2087] :
( k4_relat_1(k4_xboole_0(U_2088,U_2087)) = k4_xboole_0(k4_relat_1(U_2088),k4_relat_1(U_2087))
| ~ v1_relat_1(U_2087) )
| ~ v1_relat_1(U_2088) ),
inference(variable_rename,[status(thm)],[f_650_1]) ).
fof(f_650_3,plain,
! [U_2088,U_2087] :
( k4_relat_1(k4_xboole_0(U_2088,U_2087)) = k4_xboole_0(k4_relat_1(U_2088),k4_relat_1(U_2087))
| ~ v1_relat_1(U_2087)
| ~ v1_relat_1(U_2088) ),
inference(definitional_conversion,[status(esa)],[f_650_2]) ).
cnf(f_650_4,plain,
( k4_relat_1(k4_xboole_0(U_2088,U_2087)) = k4_xboole_0(k4_relat_1(U_2088),k4_relat_1(U_2087))
| ~ v1_relat_1(U_2087)
| ~ v1_relat_1(U_2088) ),
inference(clausify,[status(thm)],[f_650_3]) ).
fof(f_651_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k5_relat_1(A,B)
| ? [D,E] :
( ( ~ r2_hidden(k4_tarski(D,E),C)
& ? [F] :
( r2_hidden(k4_tarski(F,E),B)
& r2_hidden(k4_tarski(D,F),A) ) )
| ( ! [F] :
( ~ r2_hidden(k4_tarski(F,E),B)
| ~ r2_hidden(k4_tarski(D,F),A) )
& r2_hidden(k4_tarski(D,E),C) ) ) )
& ( ! [D,E] :
( ( r2_hidden(k4_tarski(D,E),C)
| ! [F] :
( ~ r2_hidden(k4_tarski(F,E),B)
| ~ r2_hidden(k4_tarski(D,F),A) ) )
& ( ? [F] :
( r2_hidden(k4_tarski(F,E),B)
& r2_hidden(k4_tarski(D,F),A) )
| ~ r2_hidden(k4_tarski(D,E),C) ) )
| C != k5_relat_1(A,B) ) )
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d8_relat_1]) ).
fof(f_651_2,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ? [U_2096,U_2095] :
( ( ~ r2_hidden(k4_tarski(U_2096,U_2095),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,U_2095),U_2098)
& r2_hidden(k4_tarski(U_2096,U_2094),U_2099) ) )
| ( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,U_2095),U_2098)
| ~ r2_hidden(k4_tarski(U_2096,U_2093),U_2099) )
& r2_hidden(k4_tarski(U_2096,U_2095),U_2097) ) ) )
& ( ! [U_2092,U_2091] :
( ( r2_hidden(k4_tarski(U_2092,U_2091),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2091),U_2098)
| ~ r2_hidden(k4_tarski(U_2092,U_2090),U_2099) ) )
& ( ? [U_2089] :
( r2_hidden(k4_tarski(U_2089,U_2091),U_2098)
& r2_hidden(k4_tarski(U_2092,U_2089),U_2099) )
| ~ r2_hidden(k4_tarski(U_2092,U_2091),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(variable_rename,[status(thm)],[f_651_1]) ).
fof(f_651_3,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ? [U_2107,U_2105] :
( ~ r2_hidden(k4_tarski(U_2107,U_2105),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,U_2105),U_2098)
& r2_hidden(k4_tarski(U_2107,U_2094),U_2099) ) )
| ? [U_2106,U_2104] :
( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,U_2104),U_2098)
| ~ r2_hidden(k4_tarski(U_2106,U_2093),U_2099) )
& r2_hidden(k4_tarski(U_2106,U_2104),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ? [U_2089] :
( r2_hidden(k4_tarski(U_2089,U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,U_2089),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(miniscope,[status(thm)],[f_651_2]) ).
fof(f_651_4,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ? [U_2107,U_2105] :
( ~ r2_hidden(k4_tarski(U_2107,U_2105),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,U_2105),U_2098)
& r2_hidden(k4_tarski(U_2107,U_2094),U_2099) ) )
| ? [U_2106,U_2104] :
( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,U_2104),U_2098)
| ~ r2_hidden(k4_tarski(U_2106,U_2093),U_2099) )
& r2_hidden(k4_tarski(U_2106,U_2104),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK152]),skolemize(U_2089,sK152(U_2099,U_2098,U_2097,U_2102,U_2100))],[f_651_3]) ).
fof(f_651_5,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ? [U_2107,U_2105] :
( ~ r2_hidden(k4_tarski(U_2107,U_2105),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,U_2105),U_2098)
& r2_hidden(k4_tarski(U_2107,U_2094),U_2099) ) )
| ? [U_2104] :
( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,U_2104),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099) )
& r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2104),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK153]),skolemize(U_2106,sK153(U_2099,U_2098,U_2097))],[f_651_4]) ).
fof(f_651_6,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ? [U_2107,U_2105] :
( ~ r2_hidden(k4_tarski(U_2107,U_2105),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,U_2105),U_2098)
& r2_hidden(k4_tarski(U_2107,U_2094),U_2099) ) )
| ( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,sK154(U_2099,U_2098,U_2097)),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099) )
& r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),sK154(U_2099,U_2098,U_2097)),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK154]),skolemize(U_2104,sK154(U_2099,U_2098,U_2097))],[f_651_5]) ).
fof(f_651_7,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ? [U_2105] :
( ~ r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),U_2105),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,U_2105),U_2098)
& r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),U_2094),U_2099) ) )
| ( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,sK154(U_2099,U_2098,U_2097)),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099) )
& r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),sK154(U_2099,U_2098,U_2097)),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155]),skolemize(U_2107,sK155(U_2099,U_2098,U_2097))],[f_651_6]) ).
fof(f_651_8,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ( ~ r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2097)
& ? [U_2094] :
( r2_hidden(k4_tarski(U_2094,sK156(U_2099,U_2098,U_2097)),U_2098)
& r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),U_2094),U_2099) ) )
| ( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,sK154(U_2099,U_2098,U_2097)),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099) )
& r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),sK154(U_2099,U_2098,U_2097)),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156]),skolemize(U_2105,sK156(U_2099,U_2098,U_2097))],[f_651_7]) ).
fof(f_651_9,plain,
! [U_2099] :
( ! [U_2098] :
( ! [U_2097] :
( ( ( U_2097 = k5_relat_1(U_2099,U_2098)
| ( ~ r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2097)
& r2_hidden(k4_tarski(sK157(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2098)
& r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK157(U_2099,U_2098,U_2097)),U_2099) )
| ( ! [U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,sK154(U_2099,U_2098,U_2097)),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099) )
& r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),sK154(U_2099,U_2098,U_2097)),U_2097) ) )
& ( ( ! [U_2103,U_2101] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ! [U_2090] :
( ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099) ) )
& ! [U_2102,U_2100] :
( ( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
& r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099) )
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097) ) )
| U_2097 != k5_relat_1(U_2099,U_2098) ) )
| ~ v1_relat_1(U_2097) )
| ~ v1_relat_1(U_2098) )
| ~ v1_relat_1(U_2099) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK157]),skolemize(U_2094,sK157(U_2099,U_2098,U_2097))],[f_651_8]) ).
fof(f_651_10,plain,
( ! [U_2097,U_2098,U_2099] :
( ~ r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2097)
| ~ sP232(U_2097,U_2098,U_2099) )
& ! [U_2097,U_2098,U_2099] :
( r2_hidden(k4_tarski(sK157(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2098)
| ~ sP232(U_2097,U_2098,U_2099) )
& ! [U_2097,U_2098,U_2099] :
( r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK157(U_2099,U_2098,U_2097)),U_2099)
| ~ sP232(U_2097,U_2098,U_2099) )
& ! [U_2097,U_2098,U_2099,U_2093] :
( ~ r2_hidden(k4_tarski(U_2093,sK154(U_2099,U_2098,U_2097)),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099)
| ~ sP231(U_2097,U_2098,U_2099,U_2093) )
& ! [U_2097,U_2098,U_2099,U_2093] :
( r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),sK154(U_2099,U_2098,U_2097)),U_2097)
| ~ sP231(U_2097,U_2098,U_2099,U_2093) )
& ! [U_2097,U_2098,U_2099,U_2100,U_2102] :
( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
| ~ sP229(U_2097,U_2098,U_2099,U_2100,U_2102) )
& ! [U_2097,U_2098,U_2099,U_2100,U_2102] :
( r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099)
| ~ sP229(U_2097,U_2098,U_2099,U_2100,U_2102) )
& ! [U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102] :
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099)
| ~ sP230(U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102) )
& ! [U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102] :
( sP229(U_2097,U_2098,U_2099,U_2100,U_2102)
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097)
| ~ sP230(U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102) )
& ! [U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102] :
( U_2097 = k5_relat_1(U_2099,U_2098)
| sP232(U_2097,U_2098,U_2099)
| sP231(U_2097,U_2098,U_2099,U_2093)
| ~ sP233(U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102) )
& ! [U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102] :
( sP230(U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102)
| U_2097 != k5_relat_1(U_2099,U_2098)
| ~ sP233(U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102) )
& ! [U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102] :
( sP233(U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102)
| ~ v1_relat_1(U_2097)
| ~ v1_relat_1(U_2098)
| ~ v1_relat_1(U_2099) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP229,sP230,sP231,sP232,sP233])],[f_651_9]) ).
cnf(f_651_11,plain,
( sP233(U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102)
| ~ v1_relat_1(U_2097)
| ~ v1_relat_1(U_2098)
| ~ v1_relat_1(U_2099) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_12,plain,
( sP230(U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102)
| U_2097 != k5_relat_1(U_2099,U_2098)
| ~ sP233(U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_13,plain,
( U_2097 = k5_relat_1(U_2099,U_2098)
| sP232(U_2097,U_2098,U_2099)
| sP231(U_2097,U_2098,U_2099,U_2093)
| ~ sP233(U_2103,U_2097,U_2098,U_2099,U_2100,U_2093,U_2090,U_2101,U_2102) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_14,plain,
( sP229(U_2097,U_2098,U_2099,U_2100,U_2102)
| ~ r2_hidden(k4_tarski(U_2102,U_2100),U_2097)
| ~ sP230(U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_15,plain,
( r2_hidden(k4_tarski(U_2103,U_2101),U_2097)
| ~ r2_hidden(k4_tarski(U_2090,U_2101),U_2098)
| ~ r2_hidden(k4_tarski(U_2103,U_2090),U_2099)
| ~ sP230(U_2103,U_2097,U_2098,U_2099,U_2100,U_2090,U_2101,U_2102) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_16,plain,
( r2_hidden(k4_tarski(U_2102,sK152(U_2099,U_2098,U_2097,U_2102,U_2100)),U_2099)
| ~ sP229(U_2097,U_2098,U_2099,U_2100,U_2102) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_17,plain,
( r2_hidden(k4_tarski(sK152(U_2099,U_2098,U_2097,U_2102,U_2100),U_2100),U_2098)
| ~ sP229(U_2097,U_2098,U_2099,U_2100,U_2102) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_18,plain,
( r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),sK154(U_2099,U_2098,U_2097)),U_2097)
| ~ sP231(U_2097,U_2098,U_2099,U_2093) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_19,plain,
( ~ r2_hidden(k4_tarski(U_2093,sK154(U_2099,U_2098,U_2097)),U_2098)
| ~ r2_hidden(k4_tarski(sK153(U_2099,U_2098,U_2097),U_2093),U_2099)
| ~ sP231(U_2097,U_2098,U_2099,U_2093) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_20,plain,
( r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK157(U_2099,U_2098,U_2097)),U_2099)
| ~ sP232(U_2097,U_2098,U_2099) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_21,plain,
( r2_hidden(k4_tarski(sK157(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2098)
| ~ sP232(U_2097,U_2098,U_2099) ),
inference(clausify,[status(thm)],[f_651_10]) ).
cnf(f_651_22,plain,
( ~ r2_hidden(k4_tarski(sK155(U_2099,U_2098,U_2097),sK156(U_2099,U_2098,U_2097)),U_2097)
| ~ sP232(U_2097,U_2098,U_2099) ),
inference(clausify,[status(thm)],[f_651_10]) ).
fof(f_652_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t42_relat_1]) ).
fof(f_652_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_652_1]) ).
cnf(f_652_3,plain,
$true,
inference(clausify,[status(thm)],[f_652_2]) ).
fof(f_653_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t43_relat_1]) ).
fof(f_653_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_653_1]) ).
cnf(f_653_3,plain,
$true,
inference(clausify,[status(thm)],[f_653_2]) ).
fof(f_654_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k1_relat_1(k5_relat_1(A,B)),k1_relat_1(A))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t44_relat_1]) ).
fof(f_654_2,plain,
! [U_2109] :
( ! [U_2108] :
( r1_tarski(k1_relat_1(k5_relat_1(U_2109,U_2108)),k1_relat_1(U_2109))
| ~ v1_relat_1(U_2108) )
| ~ v1_relat_1(U_2109) ),
inference(variable_rename,[status(thm)],[f_654_1]) ).
fof(f_654_3,plain,
! [U_2109,U_2108] :
( r1_tarski(k1_relat_1(k5_relat_1(U_2109,U_2108)),k1_relat_1(U_2109))
| ~ v1_relat_1(U_2108)
| ~ v1_relat_1(U_2109) ),
inference(definitional_conversion,[status(esa)],[f_654_2]) ).
cnf(f_654_4,plain,
( r1_tarski(k1_relat_1(k5_relat_1(U_2109,U_2108)),k1_relat_1(U_2109))
| ~ v1_relat_1(U_2108)
| ~ v1_relat_1(U_2109) ),
inference(clausify,[status(thm)],[f_654_3]) ).
fof(f_655_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k2_relat_1(k5_relat_1(A,B)),k2_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t45_relat_1]) ).
fof(f_655_2,plain,
! [U_2111] :
( ! [U_2110] :
( r1_tarski(k2_relat_1(k5_relat_1(U_2111,U_2110)),k2_relat_1(U_2110))
| ~ v1_relat_1(U_2110) )
| ~ v1_relat_1(U_2111) ),
inference(variable_rename,[status(thm)],[f_655_1]) ).
fof(f_655_3,plain,
! [U_2110,U_2111] :
( r1_tarski(k2_relat_1(k5_relat_1(U_2111,U_2110)),k2_relat_1(U_2110))
| ~ v1_relat_1(U_2110)
| ~ v1_relat_1(U_2111) ),
inference(definitional_conversion,[status(esa)],[f_655_2]) ).
cnf(f_655_4,plain,
( r1_tarski(k2_relat_1(k5_relat_1(U_2111,U_2110)),k2_relat_1(U_2110))
| ~ v1_relat_1(U_2110)
| ~ v1_relat_1(U_2111) ),
inference(clausify,[status(thm)],[f_655_3]) ).
fof(f_656_1,plain,
! [A] :
( ! [B] :
( k1_relat_1(k5_relat_1(A,B)) = k1_relat_1(A)
| ~ r1_tarski(k2_relat_1(A),k1_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t46_relat_1]) ).
fof(f_656_2,plain,
! [U_2113] :
( ! [U_2112] :
( k1_relat_1(k5_relat_1(U_2113,U_2112)) = k1_relat_1(U_2113)
| ~ r1_tarski(k2_relat_1(U_2113),k1_relat_1(U_2112))
| ~ v1_relat_1(U_2112) )
| ~ v1_relat_1(U_2113) ),
inference(variable_rename,[status(thm)],[f_656_1]) ).
fof(f_656_3,plain,
! [U_2112,U_2113] :
( k1_relat_1(k5_relat_1(U_2113,U_2112)) = k1_relat_1(U_2113)
| ~ r1_tarski(k2_relat_1(U_2113),k1_relat_1(U_2112))
| ~ v1_relat_1(U_2112)
| ~ v1_relat_1(U_2113) ),
inference(definitional_conversion,[status(esa)],[f_656_2]) ).
cnf(f_656_4,plain,
( k1_relat_1(k5_relat_1(U_2113,U_2112)) = k1_relat_1(U_2113)
| ~ r1_tarski(k2_relat_1(U_2113),k1_relat_1(U_2112))
| ~ v1_relat_1(U_2112)
| ~ v1_relat_1(U_2113) ),
inference(clausify,[status(thm)],[f_656_3]) ).
fof(f_657_1,plain,
! [A] :
( ! [B] :
( k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A)
| ~ r1_tarski(k1_relat_1(A),k2_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t47_relat_1]) ).
fof(f_657_2,plain,
! [U_2115] :
( ! [U_2114] :
( k2_relat_1(k5_relat_1(U_2114,U_2115)) = k2_relat_1(U_2115)
| ~ r1_tarski(k1_relat_1(U_2115),k2_relat_1(U_2114))
| ~ v1_relat_1(U_2114) )
| ~ v1_relat_1(U_2115) ),
inference(variable_rename,[status(thm)],[f_657_1]) ).
fof(f_657_3,plain,
! [U_2114,U_2115] :
( k2_relat_1(k5_relat_1(U_2114,U_2115)) = k2_relat_1(U_2115)
| ~ r1_tarski(k1_relat_1(U_2115),k2_relat_1(U_2114))
| ~ v1_relat_1(U_2114)
| ~ v1_relat_1(U_2115) ),
inference(definitional_conversion,[status(esa)],[f_657_2]) ).
cnf(f_657_4,plain,
( k2_relat_1(k5_relat_1(U_2114,U_2115)) = k2_relat_1(U_2115)
| ~ r1_tarski(k1_relat_1(U_2115),k2_relat_1(U_2114))
| ~ v1_relat_1(U_2114)
| ~ v1_relat_1(U_2115) ),
inference(clausify,[status(thm)],[f_657_3]) ).
fof(f_658_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k5_relat_1(C,A),k5_relat_1(C,B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t48_relat_1]) ).
fof(f_658_2,plain,
! [U_2118] :
( ! [U_2117] :
( ! [U_2116] :
( r1_tarski(k5_relat_1(U_2116,U_2118),k5_relat_1(U_2116,U_2117))
| ~ r1_tarski(U_2118,U_2117)
| ~ v1_relat_1(U_2116) )
| ~ v1_relat_1(U_2117) )
| ~ v1_relat_1(U_2118) ),
inference(variable_rename,[status(thm)],[f_658_1]) ).
fof(f_658_3,plain,
! [U_2116,U_2118,U_2117] :
( r1_tarski(k5_relat_1(U_2116,U_2118),k5_relat_1(U_2116,U_2117))
| ~ r1_tarski(U_2118,U_2117)
| ~ v1_relat_1(U_2116)
| ~ v1_relat_1(U_2117)
| ~ v1_relat_1(U_2118) ),
inference(definitional_conversion,[status(esa)],[f_658_2]) ).
cnf(f_658_4,plain,
( r1_tarski(k5_relat_1(U_2116,U_2118),k5_relat_1(U_2116,U_2117))
| ~ r1_tarski(U_2118,U_2117)
| ~ v1_relat_1(U_2116)
| ~ v1_relat_1(U_2117)
| ~ v1_relat_1(U_2118) ),
inference(clausify,[status(thm)],[f_658_3]) ).
fof(f_659_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t49_relat_1]) ).
fof(f_659_2,plain,
! [U_2121] :
( ! [U_2120] :
( ! [U_2119] :
( r1_tarski(k5_relat_1(U_2121,U_2119),k5_relat_1(U_2120,U_2119))
| ~ r1_tarski(U_2121,U_2120)
| ~ v1_relat_1(U_2119) )
| ~ v1_relat_1(U_2120) )
| ~ v1_relat_1(U_2121) ),
inference(variable_rename,[status(thm)],[f_659_1]) ).
fof(f_659_3,plain,
! [U_2121,U_2120,U_2119] :
( r1_tarski(k5_relat_1(U_2121,U_2119),k5_relat_1(U_2120,U_2119))
| ~ r1_tarski(U_2121,U_2120)
| ~ v1_relat_1(U_2119)
| ~ v1_relat_1(U_2120)
| ~ v1_relat_1(U_2121) ),
inference(definitional_conversion,[status(esa)],[f_659_2]) ).
cnf(f_659_4,plain,
( r1_tarski(k5_relat_1(U_2121,U_2119),k5_relat_1(U_2120,U_2119))
| ~ r1_tarski(U_2121,U_2120)
| ~ v1_relat_1(U_2119)
| ~ v1_relat_1(U_2120)
| ~ v1_relat_1(U_2121) ),
inference(clausify,[status(thm)],[f_659_3]) ).
fof(f_660_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_tarski(k5_relat_1(A,C),k5_relat_1(B,D))
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(D) )
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t50_relat_1]) ).
fof(f_660_2,plain,
! [U_2125] :
( ! [U_2124] :
( ! [U_2123] :
( ! [U_2122] :
( r1_tarski(k5_relat_1(U_2125,U_2123),k5_relat_1(U_2124,U_2122))
| ~ r1_tarski(U_2123,U_2122)
| ~ r1_tarski(U_2125,U_2124)
| ~ v1_relat_1(U_2122) )
| ~ v1_relat_1(U_2123) )
| ~ v1_relat_1(U_2124) )
| ~ v1_relat_1(U_2125) ),
inference(variable_rename,[status(thm)],[f_660_1]) ).
fof(f_660_3,plain,
! [U_2122,U_2125,U_2123,U_2124] :
( r1_tarski(k5_relat_1(U_2125,U_2123),k5_relat_1(U_2124,U_2122))
| ~ r1_tarski(U_2123,U_2122)
| ~ r1_tarski(U_2125,U_2124)
| ~ v1_relat_1(U_2122)
| ~ v1_relat_1(U_2123)
| ~ v1_relat_1(U_2124)
| ~ v1_relat_1(U_2125) ),
inference(definitional_conversion,[status(esa)],[f_660_2]) ).
cnf(f_660_4,plain,
( r1_tarski(k5_relat_1(U_2125,U_2123),k5_relat_1(U_2124,U_2122))
| ~ r1_tarski(U_2123,U_2122)
| ~ r1_tarski(U_2125,U_2124)
| ~ v1_relat_1(U_2122)
| ~ v1_relat_1(U_2123)
| ~ v1_relat_1(U_2124)
| ~ v1_relat_1(U_2125) ),
inference(clausify,[status(thm)],[f_660_3]) ).
fof(f_661_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_relat_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t51_relat_1]) ).
fof(f_661_2,plain,
! [U_2128] :
( ! [U_2127] :
( ! [U_2126] :
( k5_relat_1(U_2128,k2_xboole_0(U_2127,U_2126)) = k2_xboole_0(k5_relat_1(U_2128,U_2127),k5_relat_1(U_2128,U_2126))
| ~ v1_relat_1(U_2126) )
| ~ v1_relat_1(U_2127) )
| ~ v1_relat_1(U_2128) ),
inference(variable_rename,[status(thm)],[f_661_1]) ).
fof(f_661_3,plain,
! [U_2126,U_2128,U_2127] :
( k5_relat_1(U_2128,k2_xboole_0(U_2127,U_2126)) = k2_xboole_0(k5_relat_1(U_2128,U_2127),k5_relat_1(U_2128,U_2126))
| ~ v1_relat_1(U_2126)
| ~ v1_relat_1(U_2127)
| ~ v1_relat_1(U_2128) ),
inference(definitional_conversion,[status(esa)],[f_661_2]) ).
cnf(f_661_4,plain,
( k5_relat_1(U_2128,k2_xboole_0(U_2127,U_2126)) = k2_xboole_0(k5_relat_1(U_2128,U_2127),k5_relat_1(U_2128,U_2126))
| ~ v1_relat_1(U_2126)
| ~ v1_relat_1(U_2127)
| ~ v1_relat_1(U_2128) ),
inference(clausify,[status(thm)],[f_661_3]) ).
fof(f_662_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k5_relat_1(A,k3_xboole_0(B,C)),k3_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t52_relat_1]) ).
fof(f_662_2,plain,
! [U_2131] :
( ! [U_2130] :
( ! [U_2129] :
( r1_tarski(k5_relat_1(U_2131,k3_xboole_0(U_2130,U_2129)),k3_xboole_0(k5_relat_1(U_2131,U_2130),k5_relat_1(U_2131,U_2129)))
| ~ v1_relat_1(U_2129) )
| ~ v1_relat_1(U_2130) )
| ~ v1_relat_1(U_2131) ),
inference(variable_rename,[status(thm)],[f_662_1]) ).
fof(f_662_3,plain,
! [U_2130,U_2129,U_2131] :
( r1_tarski(k5_relat_1(U_2131,k3_xboole_0(U_2130,U_2129)),k3_xboole_0(k5_relat_1(U_2131,U_2130),k5_relat_1(U_2131,U_2129)))
| ~ v1_relat_1(U_2129)
| ~ v1_relat_1(U_2130)
| ~ v1_relat_1(U_2131) ),
inference(definitional_conversion,[status(esa)],[f_662_2]) ).
cnf(f_662_4,plain,
( r1_tarski(k5_relat_1(U_2131,k3_xboole_0(U_2130,U_2129)),k3_xboole_0(k5_relat_1(U_2131,U_2130),k5_relat_1(U_2131,U_2129)))
| ~ v1_relat_1(U_2129)
| ~ v1_relat_1(U_2130)
| ~ v1_relat_1(U_2131) ),
inference(clausify,[status(thm)],[f_662_3]) ).
fof(f_663_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k4_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)),k5_relat_1(A,k4_xboole_0(B,C)))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t53_relat_1]) ).
fof(f_663_2,plain,
! [U_2134] :
( ! [U_2133] :
( ! [U_2132] :
( r1_tarski(k4_xboole_0(k5_relat_1(U_2134,U_2133),k5_relat_1(U_2134,U_2132)),k5_relat_1(U_2134,k4_xboole_0(U_2133,U_2132)))
| ~ v1_relat_1(U_2132) )
| ~ v1_relat_1(U_2133) )
| ~ v1_relat_1(U_2134) ),
inference(variable_rename,[status(thm)],[f_663_1]) ).
fof(f_663_3,plain,
! [U_2133,U_2132,U_2134] :
( r1_tarski(k4_xboole_0(k5_relat_1(U_2134,U_2133),k5_relat_1(U_2134,U_2132)),k5_relat_1(U_2134,k4_xboole_0(U_2133,U_2132)))
| ~ v1_relat_1(U_2132)
| ~ v1_relat_1(U_2133)
| ~ v1_relat_1(U_2134) ),
inference(definitional_conversion,[status(esa)],[f_663_2]) ).
cnf(f_663_4,plain,
( r1_tarski(k4_xboole_0(k5_relat_1(U_2134,U_2133),k5_relat_1(U_2134,U_2132)),k5_relat_1(U_2134,k4_xboole_0(U_2133,U_2132)))
| ~ v1_relat_1(U_2132)
| ~ v1_relat_1(U_2133)
| ~ v1_relat_1(U_2134) ),
inference(clausify,[status(thm)],[f_663_3]) ).
fof(f_664_1,plain,
! [A] :
( ! [B] :
( k4_relat_1(k5_relat_1(A,B)) = k5_relat_1(k4_relat_1(B),k4_relat_1(A))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t54_relat_1]) ).
fof(f_664_2,plain,
! [U_2136] :
( ! [U_2135] :
( k4_relat_1(k5_relat_1(U_2136,U_2135)) = k5_relat_1(k4_relat_1(U_2135),k4_relat_1(U_2136))
| ~ v1_relat_1(U_2135) )
| ~ v1_relat_1(U_2136) ),
inference(variable_rename,[status(thm)],[f_664_1]) ).
fof(f_664_3,plain,
! [U_2136,U_2135] :
( k4_relat_1(k5_relat_1(U_2136,U_2135)) = k5_relat_1(k4_relat_1(U_2135),k4_relat_1(U_2136))
| ~ v1_relat_1(U_2135)
| ~ v1_relat_1(U_2136) ),
inference(definitional_conversion,[status(esa)],[f_664_2]) ).
cnf(f_664_4,plain,
( k4_relat_1(k5_relat_1(U_2136,U_2135)) = k5_relat_1(k4_relat_1(U_2135),k4_relat_1(U_2136))
| ~ v1_relat_1(U_2135)
| ~ v1_relat_1(U_2136) ),
inference(clausify,[status(thm)],[f_664_3]) ).
fof(f_665_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_relat_1(k5_relat_1(A,B),C) = k5_relat_1(A,k5_relat_1(B,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t55_relat_1]) ).
fof(f_665_2,plain,
! [U_2139] :
( ! [U_2138] :
( ! [U_2137] :
( k5_relat_1(k5_relat_1(U_2139,U_2138),U_2137) = k5_relat_1(U_2139,k5_relat_1(U_2138,U_2137))
| ~ v1_relat_1(U_2137) )
| ~ v1_relat_1(U_2138) )
| ~ v1_relat_1(U_2139) ),
inference(variable_rename,[status(thm)],[f_665_1]) ).
fof(f_665_3,plain,
! [U_2138,U_2139,U_2137] :
( k5_relat_1(k5_relat_1(U_2139,U_2138),U_2137) = k5_relat_1(U_2139,k5_relat_1(U_2138,U_2137))
| ~ v1_relat_1(U_2137)
| ~ v1_relat_1(U_2138)
| ~ v1_relat_1(U_2139) ),
inference(definitional_conversion,[status(esa)],[f_665_2]) ).
cnf(f_665_4,plain,
( k5_relat_1(k5_relat_1(U_2139,U_2138),U_2137) = k5_relat_1(U_2139,k5_relat_1(U_2138,U_2137))
| ~ v1_relat_1(U_2137)
| ~ v1_relat_1(U_2138)
| ~ v1_relat_1(U_2139) ),
inference(clausify,[status(thm)],[f_665_3]) ).
fof(f_666_1,plain,
! [A] :
( A = k1_xboole_0
| ? [B,C] : r2_hidden(k4_tarski(B,C),A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t56_relat_1]) ).
fof(f_666_2,plain,
! [U_2142] :
( U_2142 = k1_xboole_0
| ? [U_2141,U_2140] : r2_hidden(k4_tarski(U_2141,U_2140),U_2142)
| ~ v1_relat_1(U_2142) ),
inference(variable_rename,[status(thm)],[f_666_1]) ).
fof(f_666_3,plain,
! [U_2142] :
( U_2142 = k1_xboole_0
| ? [U_2140] : r2_hidden(k4_tarski(sK158(U_2142),U_2140),U_2142)
| ~ v1_relat_1(U_2142) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK158]),skolemize(U_2141,sK158(U_2142))],[f_666_2]) ).
fof(f_666_4,plain,
! [U_2142] :
( U_2142 = k1_xboole_0
| r2_hidden(k4_tarski(sK158(U_2142),sK159(U_2142)),U_2142)
| ~ v1_relat_1(U_2142) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159]),skolemize(U_2140,sK159(U_2142))],[f_666_3]) ).
fof(f_666_5,plain,
! [U_2142] :
( U_2142 = k1_xboole_0
| r2_hidden(k4_tarski(sK158(U_2142),sK159(U_2142)),U_2142)
| ~ v1_relat_1(U_2142) ),
inference(definitional_conversion,[status(esa)],[f_666_4]) ).
cnf(f_666_6,plain,
( U_2142 = k1_xboole_0
| r2_hidden(k4_tarski(sK158(U_2142),sK159(U_2142)),U_2142)
| ~ v1_relat_1(U_2142) ),
inference(clausify,[status(thm)],[f_666_5]) ).
fof(f_667_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_relat_1]) ).
fof(f_667_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_667_1]) ).
cnf(f_667_3,plain,
$true,
inference(clausify,[status(thm)],[f_667_2]) ).
fof(f_668_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t58_relat_1]) ).
fof(f_668_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_668_1]) ).
cnf(f_668_3,plain,
$true,
inference(clausify,[status(thm)],[f_668_2]) ).
fof(f_669_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t59_relat_1]) ).
fof(f_669_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_669_1]) ).
cnf(f_669_3,plain,
$true,
inference(clausify,[status(thm)],[f_669_2]) ).
fof(f_670_1,plain,
( k2_relat_1(k1_xboole_0) = k1_xboole_0
& k1_relat_1(k1_xboole_0) = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t60_relat_1]) ).
fof(f_670_2,plain,
( k2_relat_1(k1_xboole_0) = k1_xboole_0
& k1_relat_1(k1_xboole_0) = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_670_1]) ).
cnf(f_670_3,plain,
k1_relat_1(k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_670_2]) ).
cnf(f_670_4,plain,
k2_relat_1(k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_670_2]) ).
fof(f_671_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t61_relat_1]) ).
fof(f_671_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_671_1]) ).
cnf(f_671_3,plain,
$true,
inference(clausify,[status(thm)],[f_671_2]) ).
fof(f_672_1,plain,
! [A] :
( ( k5_relat_1(A,k1_xboole_0) = k1_xboole_0
& k5_relat_1(k1_xboole_0,A) = k1_xboole_0 )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t62_relat_1]) ).
fof(f_672_2,plain,
! [U_2143] :
( ( k5_relat_1(U_2143,k1_xboole_0) = k1_xboole_0
& k5_relat_1(k1_xboole_0,U_2143) = k1_xboole_0 )
| ~ v1_relat_1(U_2143) ),
inference(variable_rename,[status(thm)],[f_672_1]) ).
fof(f_672_3,plain,
( ! [U_2143] :
( k5_relat_1(U_2143,k1_xboole_0) = k1_xboole_0
| ~ sP234(U_2143) )
& ! [U_2143] :
( k5_relat_1(k1_xboole_0,U_2143) = k1_xboole_0
| ~ sP234(U_2143) )
& ! [U_2143] :
( sP234(U_2143)
| ~ v1_relat_1(U_2143) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP234])],[f_672_2]) ).
cnf(f_672_4,plain,
( sP234(U_2143)
| ~ v1_relat_1(U_2143) ),
inference(clausify,[status(thm)],[f_672_3]) ).
cnf(f_672_5,plain,
( k5_relat_1(k1_xboole_0,U_2143) = k1_xboole_0
| ~ sP234(U_2143) ),
inference(clausify,[status(thm)],[f_672_3]) ).
cnf(f_672_6,plain,
( k5_relat_1(U_2143,k1_xboole_0) = k1_xboole_0
| ~ sP234(U_2143) ),
inference(clausify,[status(thm)],[f_672_3]) ).
fof(f_673_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t63_relat_1]) ).
fof(f_673_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_673_1]) ).
cnf(f_673_3,plain,
$true,
inference(clausify,[status(thm)],[f_673_2]) ).
fof(f_674_1,plain,
! [A] :
( A = k1_xboole_0
| ( k2_relat_1(A) != k1_xboole_0
& k1_relat_1(A) != k1_xboole_0 )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t64_relat_1]) ).
fof(f_674_2,plain,
! [U_2144] :
( U_2144 = k1_xboole_0
| ( k2_relat_1(U_2144) != k1_xboole_0
& k1_relat_1(U_2144) != k1_xboole_0 )
| ~ v1_relat_1(U_2144) ),
inference(variable_rename,[status(thm)],[f_674_1]) ).
fof(f_674_3,plain,
( ! [U_2144] :
( k2_relat_1(U_2144) != k1_xboole_0
| ~ sP235(U_2144) )
& ! [U_2144] :
( k1_relat_1(U_2144) != k1_xboole_0
| ~ sP235(U_2144) )
& ! [U_2144] :
( U_2144 = k1_xboole_0
| sP235(U_2144)
| ~ v1_relat_1(U_2144) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP235])],[f_674_2]) ).
cnf(f_674_4,plain,
( U_2144 = k1_xboole_0
| sP235(U_2144)
| ~ v1_relat_1(U_2144) ),
inference(clausify,[status(thm)],[f_674_3]) ).
cnf(f_674_5,plain,
( k1_relat_1(U_2144) != k1_xboole_0
| ~ sP235(U_2144) ),
inference(clausify,[status(thm)],[f_674_3]) ).
cnf(f_674_6,plain,
( k2_relat_1(U_2144) != k1_xboole_0
| ~ sP235(U_2144) ),
inference(clausify,[status(thm)],[f_674_3]) ).
fof(f_675_1,plain,
! [A] :
( ( ( k1_relat_1(A) = k1_xboole_0
| k2_relat_1(A) != k1_xboole_0 )
& ( k2_relat_1(A) = k1_xboole_0
| k1_relat_1(A) != k1_xboole_0 ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t65_relat_1]) ).
fof(f_675_2,plain,
! [U_2145] :
( ( ( k1_relat_1(U_2145) = k1_xboole_0
| k2_relat_1(U_2145) != k1_xboole_0 )
& ( k2_relat_1(U_2145) = k1_xboole_0
| k1_relat_1(U_2145) != k1_xboole_0 ) )
| ~ v1_relat_1(U_2145) ),
inference(variable_rename,[status(thm)],[f_675_1]) ).
fof(f_675_3,plain,
( ! [U_2145] :
( k1_relat_1(U_2145) = k1_xboole_0
| k2_relat_1(U_2145) != k1_xboole_0
| ~ sP236(U_2145) )
& ! [U_2145] :
( k2_relat_1(U_2145) = k1_xboole_0
| k1_relat_1(U_2145) != k1_xboole_0
| ~ sP236(U_2145) )
& ! [U_2145] :
( sP236(U_2145)
| ~ v1_relat_1(U_2145) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP236])],[f_675_2]) ).
cnf(f_675_4,plain,
( sP236(U_2145)
| ~ v1_relat_1(U_2145) ),
inference(clausify,[status(thm)],[f_675_3]) ).
cnf(f_675_5,plain,
( k2_relat_1(U_2145) = k1_xboole_0
| k1_relat_1(U_2145) != k1_xboole_0
| ~ sP236(U_2145) ),
inference(clausify,[status(thm)],[f_675_3]) ).
cnf(f_675_6,plain,
( k1_relat_1(U_2145) = k1_xboole_0
| k2_relat_1(U_2145) != k1_xboole_0
| ~ sP236(U_2145) ),
inference(clausify,[status(thm)],[f_675_3]) ).
fof(f_676_1,plain,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t66_relat_1]) ).
fof(f_676_2,plain,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_676_1]) ).
cnf(f_676_3,plain,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_676_2]) ).
fof(f_677_1,plain,
! [A] :
( ! [B] :
( k5_relat_1(A,B) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(A),k1_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t67_relat_1]) ).
fof(f_677_2,plain,
! [U_2147] :
( ! [U_2146] :
( k5_relat_1(U_2147,U_2146) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(U_2147),k1_relat_1(U_2146))
| ~ v1_relat_1(U_2146) )
| ~ v1_relat_1(U_2147) ),
inference(variable_rename,[status(thm)],[f_677_1]) ).
fof(f_677_3,plain,
! [U_2147,U_2146] :
( k5_relat_1(U_2147,U_2146) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(U_2147),k1_relat_1(U_2146))
| ~ v1_relat_1(U_2146)
| ~ v1_relat_1(U_2147) ),
inference(definitional_conversion,[status(esa)],[f_677_2]) ).
cnf(f_677_4,plain,
( k5_relat_1(U_2147,U_2146) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(U_2147),k1_relat_1(U_2146))
| ~ v1_relat_1(U_2146)
| ~ v1_relat_1(U_2147) ),
inference(clausify,[status(thm)],[f_677_3]) ).
fof(f_678_1,plain,
! [A] :
( ( ( v2_relat_1(A)
| r2_hidden(k1_xboole_0,k2_relat_1(A)) )
& ( ~ r2_hidden(k1_xboole_0,k2_relat_1(A))
| ~ v2_relat_1(A) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d9_relat_1]) ).
fof(f_678_2,plain,
! [U_2148] :
( ( ( v2_relat_1(U_2148)
| r2_hidden(k1_xboole_0,k2_relat_1(U_2148)) )
& ( ~ r2_hidden(k1_xboole_0,k2_relat_1(U_2148))
| ~ v2_relat_1(U_2148) ) )
| ~ v1_relat_1(U_2148) ),
inference(variable_rename,[status(thm)],[f_678_1]) ).
fof(f_678_3,plain,
( ! [U_2148] :
( v2_relat_1(U_2148)
| r2_hidden(k1_xboole_0,k2_relat_1(U_2148))
| ~ sP237(U_2148) )
& ! [U_2148] :
( ~ r2_hidden(k1_xboole_0,k2_relat_1(U_2148))
| ~ v2_relat_1(U_2148)
| ~ sP237(U_2148) )
& ! [U_2148] :
( sP237(U_2148)
| ~ v1_relat_1(U_2148) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP237])],[f_678_2]) ).
cnf(f_678_4,plain,
( sP237(U_2148)
| ~ v1_relat_1(U_2148) ),
inference(clausify,[status(thm)],[f_678_3]) ).
cnf(f_678_5,plain,
( ~ r2_hidden(k1_xboole_0,k2_relat_1(U_2148))
| ~ v2_relat_1(U_2148)
| ~ sP237(U_2148) ),
inference(clausify,[status(thm)],[f_678_3]) ).
cnf(f_678_6,plain,
( v2_relat_1(U_2148)
| r2_hidden(k1_xboole_0,k2_relat_1(U_2148))
| ~ sP237(U_2148) ),
inference(clausify,[status(thm)],[f_678_3]) ).
fof(f_679_1,plain,
! [A,B] :
( ( ( B = k6_relat_1(A)
| ? [C,D] :
( ( ~ r2_hidden(k4_tarski(C,D),B)
& C = D
& r2_hidden(C,A) )
| ( ( C != D
| ~ r2_hidden(C,A) )
& r2_hidden(k4_tarski(C,D),B) ) ) )
& ( ! [C,D] :
( ( r2_hidden(k4_tarski(C,D),B)
| C != D
| ~ r2_hidden(C,A) )
& ( ( C = D
& r2_hidden(C,A) )
| ~ r2_hidden(k4_tarski(C,D),B) ) )
| B != k6_relat_1(A) ) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[d10_relat_1]) ).
fof(f_679_2,plain,
! [U_2154,U_2153] :
( ( ( U_2153 = k6_relat_1(U_2154)
| ? [U_2152,U_2151] :
( ( ~ r2_hidden(k4_tarski(U_2152,U_2151),U_2153)
& U_2152 = U_2151
& r2_hidden(U_2152,U_2154) )
| ( ( U_2152 != U_2151
| ~ r2_hidden(U_2152,U_2154) )
& r2_hidden(k4_tarski(U_2152,U_2151),U_2153) ) ) )
& ( ! [U_2150,U_2149] :
( ( r2_hidden(k4_tarski(U_2150,U_2149),U_2153)
| U_2150 != U_2149
| ~ r2_hidden(U_2150,U_2154) )
& ( ( U_2150 = U_2149
& r2_hidden(U_2150,U_2154) )
| ~ r2_hidden(k4_tarski(U_2150,U_2149),U_2153) ) )
| U_2153 != k6_relat_1(U_2154) ) )
| ~ v1_relat_1(U_2153) ),
inference(variable_rename,[status(thm)],[f_679_1]) ).
fof(f_679_3,plain,
! [U_2154,U_2153] :
( ( ( U_2153 = k6_relat_1(U_2154)
| ? [U_2162,U_2160] :
( ~ r2_hidden(k4_tarski(U_2162,U_2160),U_2153)
& U_2162 = U_2160
& r2_hidden(U_2162,U_2154) )
| ? [U_2161,U_2159] :
( ( U_2161 != U_2159
| ~ r2_hidden(U_2161,U_2154) )
& r2_hidden(k4_tarski(U_2161,U_2159),U_2153) ) )
& ( ( ! [U_2158,U_2156] :
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154) )
& ! [U_2157,U_2155] :
( ( U_2157 = U_2155
& r2_hidden(U_2157,U_2154) )
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153) ) )
| U_2153 != k6_relat_1(U_2154) ) )
| ~ v1_relat_1(U_2153) ),
inference(miniscope,[status(thm)],[f_679_2]) ).
fof(f_679_4,plain,
! [U_2154,U_2153] :
( ( ( U_2153 = k6_relat_1(U_2154)
| ? [U_2162,U_2160] :
( ~ r2_hidden(k4_tarski(U_2162,U_2160),U_2153)
& U_2162 = U_2160
& r2_hidden(U_2162,U_2154) )
| ? [U_2159] :
( ( sK160(U_2154,U_2153) != U_2159
| ~ r2_hidden(sK160(U_2154,U_2153),U_2154) )
& r2_hidden(k4_tarski(sK160(U_2154,U_2153),U_2159),U_2153) ) )
& ( ( ! [U_2158,U_2156] :
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154) )
& ! [U_2157,U_2155] :
( ( U_2157 = U_2155
& r2_hidden(U_2157,U_2154) )
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153) ) )
| U_2153 != k6_relat_1(U_2154) ) )
| ~ v1_relat_1(U_2153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK160]),skolemize(U_2161,sK160(U_2154,U_2153))],[f_679_3]) ).
fof(f_679_5,plain,
! [U_2154,U_2153] :
( ( ( U_2153 = k6_relat_1(U_2154)
| ? [U_2162,U_2160] :
( ~ r2_hidden(k4_tarski(U_2162,U_2160),U_2153)
& U_2162 = U_2160
& r2_hidden(U_2162,U_2154) )
| ( ( sK160(U_2154,U_2153) != sK161(U_2154,U_2153)
| ~ r2_hidden(sK160(U_2154,U_2153),U_2154) )
& r2_hidden(k4_tarski(sK160(U_2154,U_2153),sK161(U_2154,U_2153)),U_2153) ) )
& ( ( ! [U_2158,U_2156] :
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154) )
& ! [U_2157,U_2155] :
( ( U_2157 = U_2155
& r2_hidden(U_2157,U_2154) )
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153) ) )
| U_2153 != k6_relat_1(U_2154) ) )
| ~ v1_relat_1(U_2153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK161]),skolemize(U_2159,sK161(U_2154,U_2153))],[f_679_4]) ).
fof(f_679_6,plain,
! [U_2154,U_2153] :
( ( ( U_2153 = k6_relat_1(U_2154)
| ? [U_2160] :
( ~ r2_hidden(k4_tarski(sK162(U_2154,U_2153),U_2160),U_2153)
& sK162(U_2154,U_2153) = U_2160
& r2_hidden(sK162(U_2154,U_2153),U_2154) )
| ( ( sK160(U_2154,U_2153) != sK161(U_2154,U_2153)
| ~ r2_hidden(sK160(U_2154,U_2153),U_2154) )
& r2_hidden(k4_tarski(sK160(U_2154,U_2153),sK161(U_2154,U_2153)),U_2153) ) )
& ( ( ! [U_2158,U_2156] :
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154) )
& ! [U_2157,U_2155] :
( ( U_2157 = U_2155
& r2_hidden(U_2157,U_2154) )
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153) ) )
| U_2153 != k6_relat_1(U_2154) ) )
| ~ v1_relat_1(U_2153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK162]),skolemize(U_2162,sK162(U_2154,U_2153))],[f_679_5]) ).
fof(f_679_7,plain,
! [U_2154,U_2153] :
( ( ( U_2153 = k6_relat_1(U_2154)
| ( ~ r2_hidden(k4_tarski(sK162(U_2154,U_2153),sK163(U_2154,U_2153)),U_2153)
& sK162(U_2154,U_2153) = sK163(U_2154,U_2153)
& r2_hidden(sK162(U_2154,U_2153),U_2154) )
| ( ( sK160(U_2154,U_2153) != sK161(U_2154,U_2153)
| ~ r2_hidden(sK160(U_2154,U_2153),U_2154) )
& r2_hidden(k4_tarski(sK160(U_2154,U_2153),sK161(U_2154,U_2153)),U_2153) ) )
& ( ( ! [U_2158,U_2156] :
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154) )
& ! [U_2157,U_2155] :
( ( U_2157 = U_2155
& r2_hidden(U_2157,U_2154) )
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153) ) )
| U_2153 != k6_relat_1(U_2154) ) )
| ~ v1_relat_1(U_2153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK163]),skolemize(U_2160,sK163(U_2154,U_2153))],[f_679_6]) ).
fof(f_679_8,plain,
( ! [U_2153,U_2154] :
( ~ r2_hidden(k4_tarski(sK162(U_2154,U_2153),sK163(U_2154,U_2153)),U_2153)
| ~ sP241(U_2153,U_2154) )
& ! [U_2153,U_2154] :
( sK162(U_2154,U_2153) = sK163(U_2154,U_2153)
| ~ sP241(U_2153,U_2154) )
& ! [U_2153,U_2154] :
( r2_hidden(sK162(U_2154,U_2153),U_2154)
| ~ sP241(U_2153,U_2154) )
& ! [U_2153,U_2154] :
( sK160(U_2154,U_2153) != sK161(U_2154,U_2153)
| ~ r2_hidden(sK160(U_2154,U_2153),U_2154)
| ~ sP240(U_2153,U_2154) )
& ! [U_2153,U_2154] :
( r2_hidden(k4_tarski(sK160(U_2154,U_2153),sK161(U_2154,U_2153)),U_2153)
| ~ sP240(U_2153,U_2154) )
& ! [U_2157,U_2154,U_2155] :
( U_2157 = U_2155
| ~ sP238(U_2157,U_2154,U_2155) )
& ! [U_2157,U_2154,U_2155] :
( r2_hidden(U_2157,U_2154)
| ~ sP238(U_2157,U_2154,U_2155) )
& ! [U_2157,U_2156,U_2158,U_2153,U_2154,U_2155] :
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154)
| ~ sP239(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) )
& ! [U_2157,U_2156,U_2158,U_2153,U_2154,U_2155] :
( sP238(U_2157,U_2154,U_2155)
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153)
| ~ sP239(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) )
& ! [U_2157,U_2156,U_2158,U_2153,U_2154,U_2155] :
( U_2153 = k6_relat_1(U_2154)
| sP241(U_2153,U_2154)
| sP240(U_2153,U_2154)
| ~ sP242(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) )
& ! [U_2157,U_2156,U_2158,U_2153,U_2154,U_2155] :
( sP239(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155)
| U_2153 != k6_relat_1(U_2154)
| ~ sP242(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) )
& ! [U_2157,U_2156,U_2158,U_2153,U_2154,U_2155] :
( sP242(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155)
| ~ v1_relat_1(U_2153) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP238,sP239,sP240,sP241,sP242])],[f_679_7]) ).
cnf(f_679_9,plain,
( sP242(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155)
| ~ v1_relat_1(U_2153) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_10,plain,
( sP239(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155)
| U_2153 != k6_relat_1(U_2154)
| ~ sP242(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_11,plain,
( U_2153 = k6_relat_1(U_2154)
| sP241(U_2153,U_2154)
| sP240(U_2153,U_2154)
| ~ sP242(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_12,plain,
( sP238(U_2157,U_2154,U_2155)
| ~ r2_hidden(k4_tarski(U_2157,U_2155),U_2153)
| ~ sP239(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_13,plain,
( r2_hidden(k4_tarski(U_2158,U_2156),U_2153)
| U_2158 != U_2156
| ~ r2_hidden(U_2158,U_2154)
| ~ sP239(U_2157,U_2156,U_2158,U_2153,U_2154,U_2155) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_14,plain,
( r2_hidden(U_2157,U_2154)
| ~ sP238(U_2157,U_2154,U_2155) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_15,plain,
( U_2157 = U_2155
| ~ sP238(U_2157,U_2154,U_2155) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_16,plain,
( r2_hidden(k4_tarski(sK160(U_2154,U_2153),sK161(U_2154,U_2153)),U_2153)
| ~ sP240(U_2153,U_2154) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_17,plain,
( sK160(U_2154,U_2153) != sK161(U_2154,U_2153)
| ~ r2_hidden(sK160(U_2154,U_2153),U_2154)
| ~ sP240(U_2153,U_2154) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_18,plain,
( r2_hidden(sK162(U_2154,U_2153),U_2154)
| ~ sP241(U_2153,U_2154) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_19,plain,
( sK162(U_2154,U_2153) = sK163(U_2154,U_2153)
| ~ sP241(U_2153,U_2154) ),
inference(clausify,[status(thm)],[f_679_8]) ).
cnf(f_679_20,plain,
( ~ r2_hidden(k4_tarski(sK162(U_2154,U_2153),sK163(U_2154,U_2153)),U_2153)
| ~ sP241(U_2153,U_2154) ),
inference(clausify,[status(thm)],[f_679_8]) ).
fof(f_680_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t68_relat_1]) ).
fof(f_680_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_680_1]) ).
cnf(f_680_3,plain,
$true,
inference(clausify,[status(thm)],[f_680_2]) ).
fof(f_681_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t69_relat_1]) ).
fof(f_681_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_681_1]) ).
cnf(f_681_3,plain,
$true,
inference(clausify,[status(thm)],[f_681_2]) ).
fof(f_682_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t70_relat_1]) ).
fof(f_682_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_682_1]) ).
cnf(f_682_3,plain,
$true,
inference(clausify,[status(thm)],[f_682_2]) ).
fof(f_683_1,plain,
! [A] :
( k2_relat_1(k6_relat_1(A)) = A
& k1_relat_1(k6_relat_1(A)) = A ),
inference(fof_nnf,[status(thm)],[t71_relat_1]) ).
fof(f_683_2,plain,
! [U_2163] :
( k2_relat_1(k6_relat_1(U_2163)) = U_2163
& k1_relat_1(k6_relat_1(U_2163)) = U_2163 ),
inference(variable_rename,[status(thm)],[f_683_1]) ).
fof(f_683_3,plain,
( ! [U_2165] : k2_relat_1(k6_relat_1(U_2165)) = U_2165
& ! [U_2164] : k1_relat_1(k6_relat_1(U_2164)) = U_2164 ),
inference(miniscope,[status(thm)],[f_683_2]) ).
fof(f_683_4,plain,
( ! [U_2165] : k2_relat_1(k6_relat_1(U_2165)) = U_2165
& ! [U_2164] : k1_relat_1(k6_relat_1(U_2164)) = U_2164 ),
inference(definitional_conversion,[status(esa)],[f_683_3]) ).
cnf(f_683_5,plain,
k1_relat_1(k6_relat_1(U_2164)) = U_2164,
inference(clausify,[status(thm)],[f_683_4]) ).
cnf(f_683_6,plain,
k2_relat_1(k6_relat_1(U_2165)) = U_2165,
inference(clausify,[status(thm)],[f_683_4]) ).
fof(f_684_1,plain,
! [A] : k4_relat_1(k6_relat_1(A)) = k6_relat_1(A),
inference(fof_nnf,[status(thm)],[t72_relat_1]) ).
fof(f_684_2,plain,
! [U_2166] : k4_relat_1(k6_relat_1(U_2166)) = k6_relat_1(U_2166),
inference(variable_rename,[status(thm)],[f_684_1]) ).
fof(f_684_3,plain,
! [U_2166] : k4_relat_1(k6_relat_1(U_2166)) = k6_relat_1(U_2166),
inference(definitional_conversion,[status(esa)],[f_684_2]) ).
cnf(f_684_4,plain,
k4_relat_1(k6_relat_1(U_2166)) = k6_relat_1(U_2166),
inference(clausify,[status(thm)],[f_684_3]) ).
fof(f_685_1,plain,
! [A,B] :
( r1_tarski(k6_relat_1(A),B)
| ? [C] :
( ~ r2_hidden(k4_tarski(C,C),B)
& r2_hidden(C,A) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t73_relat_1]) ).
fof(f_685_2,plain,
! [U_2169,U_2168] :
( r1_tarski(k6_relat_1(U_2169),U_2168)
| ? [U_2167] :
( ~ r2_hidden(k4_tarski(U_2167,U_2167),U_2168)
& r2_hidden(U_2167,U_2169) )
| ~ v1_relat_1(U_2168) ),
inference(variable_rename,[status(thm)],[f_685_1]) ).
fof(f_685_3,plain,
! [U_2169,U_2168] :
( r1_tarski(k6_relat_1(U_2169),U_2168)
| ( ~ r2_hidden(k4_tarski(sK164(U_2169,U_2168),sK164(U_2169,U_2168)),U_2168)
& r2_hidden(sK164(U_2169,U_2168),U_2169) )
| ~ v1_relat_1(U_2168) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK164]),skolemize(U_2167,sK164(U_2169,U_2168))],[f_685_2]) ).
fof(f_685_4,plain,
( ! [U_2168,U_2169] :
( ~ r2_hidden(k4_tarski(sK164(U_2169,U_2168),sK164(U_2169,U_2168)),U_2168)
| ~ sP243(U_2168,U_2169) )
& ! [U_2168,U_2169] :
( r2_hidden(sK164(U_2169,U_2168),U_2169)
| ~ sP243(U_2168,U_2169) )
& ! [U_2168,U_2169] :
( r1_tarski(k6_relat_1(U_2169),U_2168)
| sP243(U_2168,U_2169)
| ~ v1_relat_1(U_2168) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP243])],[f_685_3]) ).
cnf(f_685_5,plain,
( r1_tarski(k6_relat_1(U_2169),U_2168)
| sP243(U_2168,U_2169)
| ~ v1_relat_1(U_2168) ),
inference(clausify,[status(thm)],[f_685_4]) ).
cnf(f_685_6,plain,
( r2_hidden(sK164(U_2169,U_2168),U_2169)
| ~ sP243(U_2168,U_2169) ),
inference(clausify,[status(thm)],[f_685_4]) ).
cnf(f_685_7,plain,
( ~ r2_hidden(k4_tarski(sK164(U_2169,U_2168),sK164(U_2169,U_2168)),U_2168)
| ~ sP243(U_2168,U_2169) ),
inference(clausify,[status(thm)],[f_685_4]) ).
fof(f_686_1,plain,
! [A,B,C,D] :
( ( ( r2_hidden(k4_tarski(A,B),k5_relat_1(k6_relat_1(C),D))
| ~ r2_hidden(k4_tarski(A,B),D)
| ~ r2_hidden(A,C) )
& ( ( r2_hidden(k4_tarski(A,B),D)
& r2_hidden(A,C) )
| ~ r2_hidden(k4_tarski(A,B),k5_relat_1(k6_relat_1(C),D)) ) )
| ~ v1_relat_1(D) ),
inference(fof_nnf,[status(thm)],[t74_relat_1]) ).
fof(f_686_2,plain,
! [U_2173,U_2172,U_2171,U_2170] :
( ( ( r2_hidden(k4_tarski(U_2173,U_2172),k5_relat_1(k6_relat_1(U_2171),U_2170))
| ~ r2_hidden(k4_tarski(U_2173,U_2172),U_2170)
| ~ r2_hidden(U_2173,U_2171) )
& ( ( r2_hidden(k4_tarski(U_2173,U_2172),U_2170)
& r2_hidden(U_2173,U_2171) )
| ~ r2_hidden(k4_tarski(U_2173,U_2172),k5_relat_1(k6_relat_1(U_2171),U_2170)) ) )
| ~ v1_relat_1(U_2170) ),
inference(variable_rename,[status(thm)],[f_686_1]) ).
fof(f_686_3,plain,
( ! [U_2171,U_2172,U_2173,U_2170] :
( r2_hidden(k4_tarski(U_2173,U_2172),U_2170)
| ~ sP244(U_2171,U_2172,U_2173,U_2170) )
& ! [U_2171,U_2172,U_2173,U_2170] :
( r2_hidden(U_2173,U_2171)
| ~ sP244(U_2171,U_2172,U_2173,U_2170) )
& ! [U_2171,U_2172,U_2173,U_2170] :
( r2_hidden(k4_tarski(U_2173,U_2172),k5_relat_1(k6_relat_1(U_2171),U_2170))
| ~ r2_hidden(k4_tarski(U_2173,U_2172),U_2170)
| ~ r2_hidden(U_2173,U_2171)
| ~ sP245(U_2171,U_2172,U_2173,U_2170) )
& ! [U_2171,U_2172,U_2173,U_2170] :
( sP244(U_2171,U_2172,U_2173,U_2170)
| ~ r2_hidden(k4_tarski(U_2173,U_2172),k5_relat_1(k6_relat_1(U_2171),U_2170))
| ~ sP245(U_2171,U_2172,U_2173,U_2170) )
& ! [U_2171,U_2172,U_2173,U_2170] :
( sP245(U_2171,U_2172,U_2173,U_2170)
| ~ v1_relat_1(U_2170) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP244,sP245])],[f_686_2]) ).
cnf(f_686_4,plain,
( sP245(U_2171,U_2172,U_2173,U_2170)
| ~ v1_relat_1(U_2170) ),
inference(clausify,[status(thm)],[f_686_3]) ).
cnf(f_686_5,plain,
( sP244(U_2171,U_2172,U_2173,U_2170)
| ~ r2_hidden(k4_tarski(U_2173,U_2172),k5_relat_1(k6_relat_1(U_2171),U_2170))
| ~ sP245(U_2171,U_2172,U_2173,U_2170) ),
inference(clausify,[status(thm)],[f_686_3]) ).
cnf(f_686_6,plain,
( r2_hidden(k4_tarski(U_2173,U_2172),k5_relat_1(k6_relat_1(U_2171),U_2170))
| ~ r2_hidden(k4_tarski(U_2173,U_2172),U_2170)
| ~ r2_hidden(U_2173,U_2171)
| ~ sP245(U_2171,U_2172,U_2173,U_2170) ),
inference(clausify,[status(thm)],[f_686_3]) ).
cnf(f_686_7,plain,
( r2_hidden(U_2173,U_2171)
| ~ sP244(U_2171,U_2172,U_2173,U_2170) ),
inference(clausify,[status(thm)],[f_686_3]) ).
cnf(f_686_8,plain,
( r2_hidden(k4_tarski(U_2173,U_2172),U_2170)
| ~ sP244(U_2171,U_2172,U_2173,U_2170) ),
inference(clausify,[status(thm)],[f_686_3]) ).
fof(f_687_1,plain,
! [A,B,C,D] :
( ( ( r2_hidden(k4_tarski(A,B),k5_relat_1(D,k6_relat_1(C)))
| ~ r2_hidden(k4_tarski(A,B),D)
| ~ r2_hidden(B,C) )
& ( ( r2_hidden(k4_tarski(A,B),D)
& r2_hidden(B,C) )
| ~ r2_hidden(k4_tarski(A,B),k5_relat_1(D,k6_relat_1(C))) ) )
| ~ v1_relat_1(D) ),
inference(fof_nnf,[status(thm)],[t75_relat_1]) ).
fof(f_687_2,plain,
! [U_2177,U_2176,U_2175,U_2174] :
( ( ( r2_hidden(k4_tarski(U_2177,U_2176),k5_relat_1(U_2174,k6_relat_1(U_2175)))
| ~ r2_hidden(k4_tarski(U_2177,U_2176),U_2174)
| ~ r2_hidden(U_2176,U_2175) )
& ( ( r2_hidden(k4_tarski(U_2177,U_2176),U_2174)
& r2_hidden(U_2176,U_2175) )
| ~ r2_hidden(k4_tarski(U_2177,U_2176),k5_relat_1(U_2174,k6_relat_1(U_2175))) ) )
| ~ v1_relat_1(U_2174) ),
inference(variable_rename,[status(thm)],[f_687_1]) ).
fof(f_687_3,plain,
( ! [U_2177,U_2174,U_2175,U_2176] :
( r2_hidden(k4_tarski(U_2177,U_2176),U_2174)
| ~ sP246(U_2177,U_2174,U_2175,U_2176) )
& ! [U_2177,U_2174,U_2175,U_2176] :
( r2_hidden(U_2176,U_2175)
| ~ sP246(U_2177,U_2174,U_2175,U_2176) )
& ! [U_2177,U_2174,U_2175,U_2176] :
( r2_hidden(k4_tarski(U_2177,U_2176),k5_relat_1(U_2174,k6_relat_1(U_2175)))
| ~ r2_hidden(k4_tarski(U_2177,U_2176),U_2174)
| ~ r2_hidden(U_2176,U_2175)
| ~ sP247(U_2177,U_2174,U_2175,U_2176) )
& ! [U_2177,U_2174,U_2175,U_2176] :
( sP246(U_2177,U_2174,U_2175,U_2176)
| ~ r2_hidden(k4_tarski(U_2177,U_2176),k5_relat_1(U_2174,k6_relat_1(U_2175)))
| ~ sP247(U_2177,U_2174,U_2175,U_2176) )
& ! [U_2177,U_2174,U_2175,U_2176] :
( sP247(U_2177,U_2174,U_2175,U_2176)
| ~ v1_relat_1(U_2174) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP246,sP247])],[f_687_2]) ).
cnf(f_687_4,plain,
( sP247(U_2177,U_2174,U_2175,U_2176)
| ~ v1_relat_1(U_2174) ),
inference(clausify,[status(thm)],[f_687_3]) ).
cnf(f_687_5,plain,
( sP246(U_2177,U_2174,U_2175,U_2176)
| ~ r2_hidden(k4_tarski(U_2177,U_2176),k5_relat_1(U_2174,k6_relat_1(U_2175)))
| ~ sP247(U_2177,U_2174,U_2175,U_2176) ),
inference(clausify,[status(thm)],[f_687_3]) ).
cnf(f_687_6,plain,
( r2_hidden(k4_tarski(U_2177,U_2176),k5_relat_1(U_2174,k6_relat_1(U_2175)))
| ~ r2_hidden(k4_tarski(U_2177,U_2176),U_2174)
| ~ r2_hidden(U_2176,U_2175)
| ~ sP247(U_2177,U_2174,U_2175,U_2176) ),
inference(clausify,[status(thm)],[f_687_3]) ).
cnf(f_687_7,plain,
( r2_hidden(U_2176,U_2175)
| ~ sP246(U_2177,U_2174,U_2175,U_2176) ),
inference(clausify,[status(thm)],[f_687_3]) ).
cnf(f_687_8,plain,
( r2_hidden(k4_tarski(U_2177,U_2176),U_2174)
| ~ sP246(U_2177,U_2174,U_2175,U_2176) ),
inference(clausify,[status(thm)],[f_687_3]) ).
fof(f_688_1,plain,
! [A,B] :
( ( r1_tarski(k5_relat_1(k6_relat_1(A),B),B)
& r1_tarski(k5_relat_1(B,k6_relat_1(A)),B) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t76_relat_1]) ).
fof(f_688_2,plain,
! [U_2179,U_2178] :
( ( r1_tarski(k5_relat_1(k6_relat_1(U_2179),U_2178),U_2178)
& r1_tarski(k5_relat_1(U_2178,k6_relat_1(U_2179)),U_2178) )
| ~ v1_relat_1(U_2178) ),
inference(variable_rename,[status(thm)],[f_688_1]) ).
fof(f_688_3,plain,
( ! [U_2178,U_2179] :
( r1_tarski(k5_relat_1(k6_relat_1(U_2179),U_2178),U_2178)
| ~ sP248(U_2178,U_2179) )
& ! [U_2178,U_2179] :
( r1_tarski(k5_relat_1(U_2178,k6_relat_1(U_2179)),U_2178)
| ~ sP248(U_2178,U_2179) )
& ! [U_2178,U_2179] :
( sP248(U_2178,U_2179)
| ~ v1_relat_1(U_2178) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP248])],[f_688_2]) ).
cnf(f_688_4,plain,
( sP248(U_2178,U_2179)
| ~ v1_relat_1(U_2178) ),
inference(clausify,[status(thm)],[f_688_3]) ).
cnf(f_688_5,plain,
( r1_tarski(k5_relat_1(U_2178,k6_relat_1(U_2179)),U_2178)
| ~ sP248(U_2178,U_2179) ),
inference(clausify,[status(thm)],[f_688_3]) ).
cnf(f_688_6,plain,
( r1_tarski(k5_relat_1(k6_relat_1(U_2179),U_2178),U_2178)
| ~ sP248(U_2178,U_2179) ),
inference(clausify,[status(thm)],[f_688_3]) ).
fof(f_689_1,plain,
! [A,B] :
( k5_relat_1(k6_relat_1(A),B) = B
| ~ r1_tarski(k1_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t77_relat_1]) ).
fof(f_689_2,plain,
! [U_2181,U_2180] :
( k5_relat_1(k6_relat_1(U_2181),U_2180) = U_2180
| ~ r1_tarski(k1_relat_1(U_2180),U_2181)
| ~ v1_relat_1(U_2180) ),
inference(variable_rename,[status(thm)],[f_689_1]) ).
fof(f_689_3,plain,
! [U_2180,U_2181] :
( k5_relat_1(k6_relat_1(U_2181),U_2180) = U_2180
| ~ r1_tarski(k1_relat_1(U_2180),U_2181)
| ~ v1_relat_1(U_2180) ),
inference(definitional_conversion,[status(esa)],[f_689_2]) ).
cnf(f_689_4,plain,
( k5_relat_1(k6_relat_1(U_2181),U_2180) = U_2180
| ~ r1_tarski(k1_relat_1(U_2180),U_2181)
| ~ v1_relat_1(U_2180) ),
inference(clausify,[status(thm)],[f_689_3]) ).
fof(f_690_1,plain,
! [A] :
( k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t78_relat_1]) ).
fof(f_690_2,plain,
! [U_2182] :
( k5_relat_1(k6_relat_1(k1_relat_1(U_2182)),U_2182) = U_2182
| ~ v1_relat_1(U_2182) ),
inference(variable_rename,[status(thm)],[f_690_1]) ).
fof(f_690_3,plain,
! [U_2182] :
( k5_relat_1(k6_relat_1(k1_relat_1(U_2182)),U_2182) = U_2182
| ~ v1_relat_1(U_2182) ),
inference(definitional_conversion,[status(esa)],[f_690_2]) ).
cnf(f_690_4,plain,
( k5_relat_1(k6_relat_1(k1_relat_1(U_2182)),U_2182) = U_2182
| ~ v1_relat_1(U_2182) ),
inference(clausify,[status(thm)],[f_690_3]) ).
fof(f_691_1,plain,
! [A,B] :
( k5_relat_1(B,k6_relat_1(A)) = B
| ~ r1_tarski(k2_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t79_relat_1]) ).
fof(f_691_2,plain,
! [U_2184,U_2183] :
( k5_relat_1(U_2183,k6_relat_1(U_2184)) = U_2183
| ~ r1_tarski(k2_relat_1(U_2183),U_2184)
| ~ v1_relat_1(U_2183) ),
inference(variable_rename,[status(thm)],[f_691_1]) ).
fof(f_691_3,plain,
! [U_2183,U_2184] :
( k5_relat_1(U_2183,k6_relat_1(U_2184)) = U_2183
| ~ r1_tarski(k2_relat_1(U_2183),U_2184)
| ~ v1_relat_1(U_2183) ),
inference(definitional_conversion,[status(esa)],[f_691_2]) ).
cnf(f_691_4,plain,
( k5_relat_1(U_2183,k6_relat_1(U_2184)) = U_2183
| ~ r1_tarski(k2_relat_1(U_2183),U_2184)
| ~ v1_relat_1(U_2183) ),
inference(clausify,[status(thm)],[f_691_3]) ).
fof(f_692_1,plain,
! [A] :
( k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t80_relat_1]) ).
fof(f_692_2,plain,
! [U_2185] :
( k5_relat_1(U_2185,k6_relat_1(k2_relat_1(U_2185))) = U_2185
| ~ v1_relat_1(U_2185) ),
inference(variable_rename,[status(thm)],[f_692_1]) ).
fof(f_692_3,plain,
! [U_2185] :
( k5_relat_1(U_2185,k6_relat_1(k2_relat_1(U_2185))) = U_2185
| ~ v1_relat_1(U_2185) ),
inference(definitional_conversion,[status(esa)],[f_692_2]) ).
cnf(f_692_4,plain,
( k5_relat_1(U_2185,k6_relat_1(k2_relat_1(U_2185))) = U_2185
| ~ v1_relat_1(U_2185) ),
inference(clausify,[status(thm)],[f_692_3]) ).
fof(f_693_1,plain,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t81_relat_1]) ).
fof(f_693_2,plain,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_693_1]) ).
cnf(f_693_3,plain,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_693_2]) ).
fof(f_694_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( D = C
| k5_relat_1(B,D) != k6_relat_1(A)
| k5_relat_1(C,B) != k6_relat_1(k1_relat_1(D))
| ~ r1_tarski(k2_relat_1(C),A)
| k1_relat_1(B) != A
| ~ v1_relat_1(D) )
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t82_relat_1]) ).
fof(f_694_2,plain,
! [U_2189,U_2188] :
( ! [U_2187] :
( ! [U_2186] :
( U_2186 = U_2187
| k5_relat_1(U_2188,U_2186) != k6_relat_1(U_2189)
| k5_relat_1(U_2187,U_2188) != k6_relat_1(k1_relat_1(U_2186))
| ~ r1_tarski(k2_relat_1(U_2187),U_2189)
| k1_relat_1(U_2188) != U_2189
| ~ v1_relat_1(U_2186) )
| ~ v1_relat_1(U_2187) )
| ~ v1_relat_1(U_2188) ),
inference(variable_rename,[status(thm)],[f_694_1]) ).
fof(f_694_3,plain,
! [U_2188,U_2189,U_2186,U_2187] :
( U_2186 = U_2187
| k5_relat_1(U_2188,U_2186) != k6_relat_1(U_2189)
| k5_relat_1(U_2187,U_2188) != k6_relat_1(k1_relat_1(U_2186))
| ~ r1_tarski(k2_relat_1(U_2187),U_2189)
| k1_relat_1(U_2188) != U_2189
| ~ v1_relat_1(U_2186)
| ~ v1_relat_1(U_2187)
| ~ v1_relat_1(U_2188) ),
inference(definitional_conversion,[status(esa)],[f_694_2]) ).
cnf(f_694_4,plain,
( U_2186 = U_2187
| k5_relat_1(U_2188,U_2186) != k6_relat_1(U_2189)
| k5_relat_1(U_2187,U_2188) != k6_relat_1(k1_relat_1(U_2186))
| ~ r1_tarski(k2_relat_1(U_2187),U_2189)
| k1_relat_1(U_2188) != U_2189
| ~ v1_relat_1(U_2186)
| ~ v1_relat_1(U_2187)
| ~ v1_relat_1(U_2188) ),
inference(clausify,[status(thm)],[f_694_3]) ).
fof(f_695_1,plain,
! [A] :
( ! [B,C] :
( ( ( C = k7_relat_1(A,B)
| ? [D,E] :
( ( ~ r2_hidden(k4_tarski(D,E),C)
& r2_hidden(k4_tarski(D,E),A)
& r2_hidden(D,B) )
| ( ( ~ r2_hidden(k4_tarski(D,E),A)
| ~ r2_hidden(D,B) )
& r2_hidden(k4_tarski(D,E),C) ) ) )
& ( ! [D,E] :
( ( r2_hidden(k4_tarski(D,E),C)
| ~ r2_hidden(k4_tarski(D,E),A)
| ~ r2_hidden(D,B) )
& ( ( r2_hidden(k4_tarski(D,E),A)
& r2_hidden(D,B) )
| ~ r2_hidden(k4_tarski(D,E),C) ) )
| C != k7_relat_1(A,B) ) )
| ~ v1_relat_1(C) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d11_relat_1]) ).
fof(f_695_2,plain,
! [U_2196] :
( ! [U_2195,U_2194] :
( ( ( U_2194 = k7_relat_1(U_2196,U_2195)
| ? [U_2193,U_2192] :
( ( ~ r2_hidden(k4_tarski(U_2193,U_2192),U_2194)
& r2_hidden(k4_tarski(U_2193,U_2192),U_2196)
& r2_hidden(U_2193,U_2195) )
| ( ( ~ r2_hidden(k4_tarski(U_2193,U_2192),U_2196)
| ~ r2_hidden(U_2193,U_2195) )
& r2_hidden(k4_tarski(U_2193,U_2192),U_2194) ) ) )
& ( ! [U_2191,U_2190] :
( ( r2_hidden(k4_tarski(U_2191,U_2190),U_2194)
| ~ r2_hidden(k4_tarski(U_2191,U_2190),U_2196)
| ~ r2_hidden(U_2191,U_2195) )
& ( ( r2_hidden(k4_tarski(U_2191,U_2190),U_2196)
& r2_hidden(U_2191,U_2195) )
| ~ r2_hidden(k4_tarski(U_2191,U_2190),U_2194) ) )
| U_2194 != k7_relat_1(U_2196,U_2195) ) )
| ~ v1_relat_1(U_2194) )
| ~ v1_relat_1(U_2196) ),
inference(variable_rename,[status(thm)],[f_695_1]) ).
fof(f_695_3,plain,
! [U_2196] :
( ! [U_2195,U_2194] :
( ( ( U_2194 = k7_relat_1(U_2196,U_2195)
| ? [U_2204,U_2202] :
( ~ r2_hidden(k4_tarski(U_2204,U_2202),U_2194)
& r2_hidden(k4_tarski(U_2204,U_2202),U_2196)
& r2_hidden(U_2204,U_2195) )
| ? [U_2203,U_2201] :
( ( ~ r2_hidden(k4_tarski(U_2203,U_2201),U_2196)
| ~ r2_hidden(U_2203,U_2195) )
& r2_hidden(k4_tarski(U_2203,U_2201),U_2194) ) )
& ( ( ! [U_2200,U_2198] :
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195) )
& ! [U_2199,U_2197] :
( ( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
& r2_hidden(U_2199,U_2195) )
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194) ) )
| U_2194 != k7_relat_1(U_2196,U_2195) ) )
| ~ v1_relat_1(U_2194) )
| ~ v1_relat_1(U_2196) ),
inference(miniscope,[status(thm)],[f_695_2]) ).
fof(f_695_4,plain,
! [U_2196] :
( ! [U_2195,U_2194] :
( ( ( U_2194 = k7_relat_1(U_2196,U_2195)
| ? [U_2204,U_2202] :
( ~ r2_hidden(k4_tarski(U_2204,U_2202),U_2194)
& r2_hidden(k4_tarski(U_2204,U_2202),U_2196)
& r2_hidden(U_2204,U_2195) )
| ? [U_2201] :
( ( ~ r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),U_2201),U_2196)
| ~ r2_hidden(sK165(U_2196,U_2195,U_2194),U_2195) )
& r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),U_2201),U_2194) ) )
& ( ( ! [U_2200,U_2198] :
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195) )
& ! [U_2199,U_2197] :
( ( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
& r2_hidden(U_2199,U_2195) )
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194) ) )
| U_2194 != k7_relat_1(U_2196,U_2195) ) )
| ~ v1_relat_1(U_2194) )
| ~ v1_relat_1(U_2196) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK165]),skolemize(U_2203,sK165(U_2196,U_2195,U_2194))],[f_695_3]) ).
fof(f_695_5,plain,
! [U_2196] :
( ! [U_2195,U_2194] :
( ( ( U_2194 = k7_relat_1(U_2196,U_2195)
| ? [U_2204,U_2202] :
( ~ r2_hidden(k4_tarski(U_2204,U_2202),U_2194)
& r2_hidden(k4_tarski(U_2204,U_2202),U_2196)
& r2_hidden(U_2204,U_2195) )
| ( ( ~ r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2196)
| ~ r2_hidden(sK165(U_2196,U_2195,U_2194),U_2195) )
& r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2194) ) )
& ( ( ! [U_2200,U_2198] :
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195) )
& ! [U_2199,U_2197] :
( ( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
& r2_hidden(U_2199,U_2195) )
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194) ) )
| U_2194 != k7_relat_1(U_2196,U_2195) ) )
| ~ v1_relat_1(U_2194) )
| ~ v1_relat_1(U_2196) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166]),skolemize(U_2201,sK166(U_2196,U_2195,U_2194))],[f_695_4]) ).
fof(f_695_6,plain,
! [U_2196] :
( ! [U_2195,U_2194] :
( ( ( U_2194 = k7_relat_1(U_2196,U_2195)
| ? [U_2202] :
( ~ r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),U_2202),U_2194)
& r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),U_2202),U_2196)
& r2_hidden(sK167(U_2196,U_2195,U_2194),U_2195) )
| ( ( ~ r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2196)
| ~ r2_hidden(sK165(U_2196,U_2195,U_2194),U_2195) )
& r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2194) ) )
& ( ( ! [U_2200,U_2198] :
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195) )
& ! [U_2199,U_2197] :
( ( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
& r2_hidden(U_2199,U_2195) )
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194) ) )
| U_2194 != k7_relat_1(U_2196,U_2195) ) )
| ~ v1_relat_1(U_2194) )
| ~ v1_relat_1(U_2196) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(U_2204,sK167(U_2196,U_2195,U_2194))],[f_695_5]) ).
fof(f_695_7,plain,
! [U_2196] :
( ! [U_2195,U_2194] :
( ( ( U_2194 = k7_relat_1(U_2196,U_2195)
| ( ~ r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),sK168(U_2196,U_2195,U_2194)),U_2194)
& r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),sK168(U_2196,U_2195,U_2194)),U_2196)
& r2_hidden(sK167(U_2196,U_2195,U_2194),U_2195) )
| ( ( ~ r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2196)
| ~ r2_hidden(sK165(U_2196,U_2195,U_2194),U_2195) )
& r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2194) ) )
& ( ( ! [U_2200,U_2198] :
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195) )
& ! [U_2199,U_2197] :
( ( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
& r2_hidden(U_2199,U_2195) )
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194) ) )
| U_2194 != k7_relat_1(U_2196,U_2195) ) )
| ~ v1_relat_1(U_2194) )
| ~ v1_relat_1(U_2196) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK168]),skolemize(U_2202,sK168(U_2196,U_2195,U_2194))],[f_695_6]) ).
fof(f_695_8,plain,
( ! [U_2194,U_2196,U_2195] :
( ~ r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),sK168(U_2196,U_2195,U_2194)),U_2194)
| ~ sP252(U_2194,U_2196,U_2195) )
& ! [U_2194,U_2196,U_2195] :
( r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),sK168(U_2196,U_2195,U_2194)),U_2196)
| ~ sP252(U_2194,U_2196,U_2195) )
& ! [U_2194,U_2196,U_2195] :
( r2_hidden(sK167(U_2196,U_2195,U_2194),U_2195)
| ~ sP252(U_2194,U_2196,U_2195) )
& ! [U_2194,U_2196,U_2195] :
( ~ r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2196)
| ~ r2_hidden(sK165(U_2196,U_2195,U_2194),U_2195)
| ~ sP251(U_2194,U_2196,U_2195) )
& ! [U_2194,U_2196,U_2195] :
( r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2194)
| ~ sP251(U_2194,U_2196,U_2195) )
& ! [U_2197,U_2196,U_2199,U_2195] :
( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
| ~ sP249(U_2197,U_2196,U_2199,U_2195) )
& ! [U_2197,U_2196,U_2199,U_2195] :
( r2_hidden(U_2199,U_2195)
| ~ sP249(U_2197,U_2196,U_2199,U_2195) )
& ! [U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195] :
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195)
| ~ sP250(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) )
& ! [U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195] :
( sP249(U_2197,U_2196,U_2199,U_2195)
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194)
| ~ sP250(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) )
& ! [U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195] :
( U_2194 = k7_relat_1(U_2196,U_2195)
| sP252(U_2194,U_2196,U_2195)
| sP251(U_2194,U_2196,U_2195)
| ~ sP253(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) )
& ! [U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195] :
( sP250(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195)
| U_2194 != k7_relat_1(U_2196,U_2195)
| ~ sP253(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) )
& ! [U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195] :
( sP253(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195)
| ~ v1_relat_1(U_2194)
| ~ v1_relat_1(U_2196) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP249,sP250,sP251,sP252,sP253])],[f_695_7]) ).
cnf(f_695_9,plain,
( sP253(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195)
| ~ v1_relat_1(U_2194)
| ~ v1_relat_1(U_2196) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_10,plain,
( sP250(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195)
| U_2194 != k7_relat_1(U_2196,U_2195)
| ~ sP253(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_11,plain,
( U_2194 = k7_relat_1(U_2196,U_2195)
| sP252(U_2194,U_2196,U_2195)
| sP251(U_2194,U_2196,U_2195)
| ~ sP253(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_12,plain,
( sP249(U_2197,U_2196,U_2199,U_2195)
| ~ r2_hidden(k4_tarski(U_2199,U_2197),U_2194)
| ~ sP250(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_13,plain,
( r2_hidden(k4_tarski(U_2200,U_2198),U_2194)
| ~ r2_hidden(k4_tarski(U_2200,U_2198),U_2196)
| ~ r2_hidden(U_2200,U_2195)
| ~ sP250(U_2194,U_2197,U_2198,U_2196,U_2200,U_2199,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_14,plain,
( r2_hidden(U_2199,U_2195)
| ~ sP249(U_2197,U_2196,U_2199,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_15,plain,
( r2_hidden(k4_tarski(U_2199,U_2197),U_2196)
| ~ sP249(U_2197,U_2196,U_2199,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_16,plain,
( r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2194)
| ~ sP251(U_2194,U_2196,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_17,plain,
( ~ r2_hidden(k4_tarski(sK165(U_2196,U_2195,U_2194),sK166(U_2196,U_2195,U_2194)),U_2196)
| ~ r2_hidden(sK165(U_2196,U_2195,U_2194),U_2195)
| ~ sP251(U_2194,U_2196,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_18,plain,
( r2_hidden(sK167(U_2196,U_2195,U_2194),U_2195)
| ~ sP252(U_2194,U_2196,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_19,plain,
( r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),sK168(U_2196,U_2195,U_2194)),U_2196)
| ~ sP252(U_2194,U_2196,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
cnf(f_695_20,plain,
( ~ r2_hidden(k4_tarski(sK167(U_2196,U_2195,U_2194),sK168(U_2196,U_2195,U_2194)),U_2194)
| ~ sP252(U_2194,U_2196,U_2195) ),
inference(clausify,[status(thm)],[f_695_8]) ).
fof(f_696_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t83_relat_1]) ).
fof(f_696_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_696_1]) ).
cnf(f_696_3,plain,
$true,
inference(clausify,[status(thm)],[f_696_2]) ).
fof(f_697_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t84_relat_1]) ).
fof(f_697_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_697_1]) ).
cnf(f_697_3,plain,
$true,
inference(clausify,[status(thm)],[f_697_2]) ).
fof(f_698_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t85_relat_1]) ).
fof(f_698_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_698_1]) ).
cnf(f_698_3,plain,
$true,
inference(clausify,[status(thm)],[f_698_2]) ).
fof(f_699_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,k1_relat_1(k7_relat_1(C,B)))
| ~ r2_hidden(A,k1_relat_1(C))
| ~ r2_hidden(A,B) )
& ( ( r2_hidden(A,k1_relat_1(C))
& r2_hidden(A,B) )
| ~ r2_hidden(A,k1_relat_1(k7_relat_1(C,B))) ) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t86_relat_1]) ).
fof(f_699_2,plain,
! [U_2207,U_2206,U_2205] :
( ( ( r2_hidden(U_2207,k1_relat_1(k7_relat_1(U_2205,U_2206)))
| ~ r2_hidden(U_2207,k1_relat_1(U_2205))
| ~ r2_hidden(U_2207,U_2206) )
& ( ( r2_hidden(U_2207,k1_relat_1(U_2205))
& r2_hidden(U_2207,U_2206) )
| ~ r2_hidden(U_2207,k1_relat_1(k7_relat_1(U_2205,U_2206))) ) )
| ~ v1_relat_1(U_2205) ),
inference(variable_rename,[status(thm)],[f_699_1]) ).
fof(f_699_3,plain,
( ! [U_2207,U_2206,U_2205] :
( r2_hidden(U_2207,k1_relat_1(U_2205))
| ~ sP254(U_2207,U_2206,U_2205) )
& ! [U_2207,U_2206,U_2205] :
( r2_hidden(U_2207,U_2206)
| ~ sP254(U_2207,U_2206,U_2205) )
& ! [U_2207,U_2206,U_2205] :
( r2_hidden(U_2207,k1_relat_1(k7_relat_1(U_2205,U_2206)))
| ~ r2_hidden(U_2207,k1_relat_1(U_2205))
| ~ r2_hidden(U_2207,U_2206)
| ~ sP255(U_2207,U_2206,U_2205) )
& ! [U_2207,U_2206,U_2205] :
( sP254(U_2207,U_2206,U_2205)
| ~ r2_hidden(U_2207,k1_relat_1(k7_relat_1(U_2205,U_2206)))
| ~ sP255(U_2207,U_2206,U_2205) )
& ! [U_2207,U_2206,U_2205] :
( sP255(U_2207,U_2206,U_2205)
| ~ v1_relat_1(U_2205) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP254,sP255])],[f_699_2]) ).
cnf(f_699_4,plain,
( sP255(U_2207,U_2206,U_2205)
| ~ v1_relat_1(U_2205) ),
inference(clausify,[status(thm)],[f_699_3]) ).
cnf(f_699_5,plain,
( sP254(U_2207,U_2206,U_2205)
| ~ r2_hidden(U_2207,k1_relat_1(k7_relat_1(U_2205,U_2206)))
| ~ sP255(U_2207,U_2206,U_2205) ),
inference(clausify,[status(thm)],[f_699_3]) ).
cnf(f_699_6,plain,
( r2_hidden(U_2207,k1_relat_1(k7_relat_1(U_2205,U_2206)))
| ~ r2_hidden(U_2207,k1_relat_1(U_2205))
| ~ r2_hidden(U_2207,U_2206)
| ~ sP255(U_2207,U_2206,U_2205) ),
inference(clausify,[status(thm)],[f_699_3]) ).
cnf(f_699_7,plain,
( r2_hidden(U_2207,U_2206)
| ~ sP254(U_2207,U_2206,U_2205) ),
inference(clausify,[status(thm)],[f_699_3]) ).
cnf(f_699_8,plain,
( r2_hidden(U_2207,k1_relat_1(U_2205))
| ~ sP254(U_2207,U_2206,U_2205) ),
inference(clausify,[status(thm)],[f_699_3]) ).
fof(f_700_1,plain,
! [A,B] :
( r1_tarski(k1_relat_1(k7_relat_1(B,A)),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t87_relat_1]) ).
fof(f_700_2,plain,
! [U_2209,U_2208] :
( r1_tarski(k1_relat_1(k7_relat_1(U_2208,U_2209)),U_2209)
| ~ v1_relat_1(U_2208) ),
inference(variable_rename,[status(thm)],[f_700_1]) ).
fof(f_700_3,plain,
! [U_2209,U_2208] :
( r1_tarski(k1_relat_1(k7_relat_1(U_2208,U_2209)),U_2209)
| ~ v1_relat_1(U_2208) ),
inference(definitional_conversion,[status(esa)],[f_700_2]) ).
cnf(f_700_4,plain,
( r1_tarski(k1_relat_1(k7_relat_1(U_2208,U_2209)),U_2209)
| ~ v1_relat_1(U_2208) ),
inference(clausify,[status(thm)],[f_700_3]) ).
fof(f_701_1,plain,
! [A,B] :
( r1_tarski(k7_relat_1(B,A),B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t88_relat_1]) ).
fof(f_701_2,plain,
! [U_2211,U_2210] :
( r1_tarski(k7_relat_1(U_2210,U_2211),U_2210)
| ~ v1_relat_1(U_2210) ),
inference(variable_rename,[status(thm)],[f_701_1]) ).
fof(f_701_3,plain,
! [U_2210,U_2211] :
( r1_tarski(k7_relat_1(U_2210,U_2211),U_2210)
| ~ v1_relat_1(U_2210) ),
inference(definitional_conversion,[status(esa)],[f_701_2]) ).
cnf(f_701_4,plain,
( r1_tarski(k7_relat_1(U_2210,U_2211),U_2210)
| ~ v1_relat_1(U_2210) ),
inference(clausify,[status(thm)],[f_701_3]) ).
fof(f_702_1,plain,
! [A,B] :
( r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t89_relat_1]) ).
fof(f_702_2,plain,
! [U_2213,U_2212] :
( r1_tarski(k1_relat_1(k7_relat_1(U_2212,U_2213)),k1_relat_1(U_2212))
| ~ v1_relat_1(U_2212) ),
inference(variable_rename,[status(thm)],[f_702_1]) ).
fof(f_702_3,plain,
! [U_2213,U_2212] :
( r1_tarski(k1_relat_1(k7_relat_1(U_2212,U_2213)),k1_relat_1(U_2212))
| ~ v1_relat_1(U_2212) ),
inference(definitional_conversion,[status(esa)],[f_702_2]) ).
cnf(f_702_4,plain,
( r1_tarski(k1_relat_1(k7_relat_1(U_2212,U_2213)),k1_relat_1(U_2212))
| ~ v1_relat_1(U_2212) ),
inference(clausify,[status(thm)],[f_702_3]) ).
fof(f_703_1,plain,
! [A,B] :
( k1_relat_1(k7_relat_1(B,A)) = k3_xboole_0(k1_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t90_relat_1]) ).
fof(f_703_2,plain,
! [U_2215,U_2214] :
( k1_relat_1(k7_relat_1(U_2214,U_2215)) = k3_xboole_0(k1_relat_1(U_2214),U_2215)
| ~ v1_relat_1(U_2214) ),
inference(variable_rename,[status(thm)],[f_703_1]) ).
fof(f_703_3,plain,
! [U_2214,U_2215] :
( k1_relat_1(k7_relat_1(U_2214,U_2215)) = k3_xboole_0(k1_relat_1(U_2214),U_2215)
| ~ v1_relat_1(U_2214) ),
inference(definitional_conversion,[status(esa)],[f_703_2]) ).
cnf(f_703_4,plain,
( k1_relat_1(k7_relat_1(U_2214,U_2215)) = k3_xboole_0(k1_relat_1(U_2214),U_2215)
| ~ v1_relat_1(U_2214) ),
inference(clausify,[status(thm)],[f_703_3]) ).
fof(f_704_1,plain,
! [A,B] :
( k1_relat_1(k7_relat_1(B,A)) = A
| ~ r1_tarski(A,k1_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t91_relat_1]) ).
fof(f_704_2,plain,
! [U_2217,U_2216] :
( k1_relat_1(k7_relat_1(U_2216,U_2217)) = U_2217
| ~ r1_tarski(U_2217,k1_relat_1(U_2216))
| ~ v1_relat_1(U_2216) ),
inference(variable_rename,[status(thm)],[f_704_1]) ).
fof(f_704_3,plain,
! [U_2217,U_2216] :
( k1_relat_1(k7_relat_1(U_2216,U_2217)) = U_2217
| ~ r1_tarski(U_2217,k1_relat_1(U_2216))
| ~ v1_relat_1(U_2216) ),
inference(definitional_conversion,[status(esa)],[f_704_2]) ).
cnf(f_704_4,plain,
( k1_relat_1(k7_relat_1(U_2216,U_2217)) = U_2217
| ~ r1_tarski(U_2217,k1_relat_1(U_2216))
| ~ v1_relat_1(U_2216) ),
inference(clausify,[status(thm)],[f_704_3]) ).
fof(f_705_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k5_relat_1(k7_relat_1(B,A),C),k5_relat_1(B,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t92_relat_1]) ).
fof(f_705_2,plain,
! [U_2220,U_2219] :
( ! [U_2218] :
( r1_tarski(k5_relat_1(k7_relat_1(U_2219,U_2220),U_2218),k5_relat_1(U_2219,U_2218))
| ~ v1_relat_1(U_2218) )
| ~ v1_relat_1(U_2219) ),
inference(variable_rename,[status(thm)],[f_705_1]) ).
fof(f_705_3,plain,
! [U_2220,U_2219,U_2218] :
( r1_tarski(k5_relat_1(k7_relat_1(U_2219,U_2220),U_2218),k5_relat_1(U_2219,U_2218))
| ~ v1_relat_1(U_2218)
| ~ v1_relat_1(U_2219) ),
inference(definitional_conversion,[status(esa)],[f_705_2]) ).
cnf(f_705_4,plain,
( r1_tarski(k5_relat_1(k7_relat_1(U_2219,U_2220),U_2218),k5_relat_1(U_2219,U_2218))
| ~ v1_relat_1(U_2218)
| ~ v1_relat_1(U_2219) ),
inference(clausify,[status(thm)],[f_705_3]) ).
fof(f_706_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k5_relat_1(B,k7_relat_1(C,A)),k5_relat_1(B,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t93_relat_1]) ).
fof(f_706_2,plain,
! [U_2223,U_2222] :
( ! [U_2221] :
( r1_tarski(k5_relat_1(U_2222,k7_relat_1(U_2221,U_2223)),k5_relat_1(U_2222,U_2221))
| ~ v1_relat_1(U_2221) )
| ~ v1_relat_1(U_2222) ),
inference(variable_rename,[status(thm)],[f_706_1]) ).
fof(f_706_3,plain,
! [U_2221,U_2223,U_2222] :
( r1_tarski(k5_relat_1(U_2222,k7_relat_1(U_2221,U_2223)),k5_relat_1(U_2222,U_2221))
| ~ v1_relat_1(U_2221)
| ~ v1_relat_1(U_2222) ),
inference(definitional_conversion,[status(esa)],[f_706_2]) ).
cnf(f_706_4,plain,
( r1_tarski(k5_relat_1(U_2222,k7_relat_1(U_2221,U_2223)),k5_relat_1(U_2222,U_2221))
| ~ v1_relat_1(U_2221)
| ~ v1_relat_1(U_2222) ),
inference(clausify,[status(thm)],[f_706_3]) ).
fof(f_707_1,plain,
! [A,B] :
( k7_relat_1(B,A) = k5_relat_1(k6_relat_1(A),B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t94_relat_1]) ).
fof(f_707_2,plain,
! [U_2225,U_2224] :
( k7_relat_1(U_2224,U_2225) = k5_relat_1(k6_relat_1(U_2225),U_2224)
| ~ v1_relat_1(U_2224) ),
inference(variable_rename,[status(thm)],[f_707_1]) ).
fof(f_707_3,plain,
! [U_2225,U_2224] :
( k7_relat_1(U_2224,U_2225) = k5_relat_1(k6_relat_1(U_2225),U_2224)
| ~ v1_relat_1(U_2224) ),
inference(definitional_conversion,[status(esa)],[f_707_2]) ).
cnf(f_707_4,plain,
( k7_relat_1(U_2224,U_2225) = k5_relat_1(k6_relat_1(U_2225),U_2224)
| ~ v1_relat_1(U_2224) ),
inference(clausify,[status(thm)],[f_707_3]) ).
fof(f_708_1,plain,
! [A,B] :
( ( ( k7_relat_1(B,A) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(B),A) )
& ( r1_xboole_0(k1_relat_1(B),A)
| k7_relat_1(B,A) != k1_xboole_0 ) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t95_relat_1]) ).
fof(f_708_2,plain,
! [U_2227,U_2226] :
( ( ( k7_relat_1(U_2226,U_2227) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(U_2226),U_2227) )
& ( r1_xboole_0(k1_relat_1(U_2226),U_2227)
| k7_relat_1(U_2226,U_2227) != k1_xboole_0 ) )
| ~ v1_relat_1(U_2226) ),
inference(variable_rename,[status(thm)],[f_708_1]) ).
fof(f_708_3,plain,
( ! [U_2226,U_2227] :
( k7_relat_1(U_2226,U_2227) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(U_2226),U_2227)
| ~ sP256(U_2226,U_2227) )
& ! [U_2226,U_2227] :
( r1_xboole_0(k1_relat_1(U_2226),U_2227)
| k7_relat_1(U_2226,U_2227) != k1_xboole_0
| ~ sP256(U_2226,U_2227) )
& ! [U_2226,U_2227] :
( sP256(U_2226,U_2227)
| ~ v1_relat_1(U_2226) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP256])],[f_708_2]) ).
cnf(f_708_4,plain,
( sP256(U_2226,U_2227)
| ~ v1_relat_1(U_2226) ),
inference(clausify,[status(thm)],[f_708_3]) ).
cnf(f_708_5,plain,
( r1_xboole_0(k1_relat_1(U_2226),U_2227)
| k7_relat_1(U_2226,U_2227) != k1_xboole_0
| ~ sP256(U_2226,U_2227) ),
inference(clausify,[status(thm)],[f_708_3]) ).
cnf(f_708_6,plain,
( k7_relat_1(U_2226,U_2227) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(U_2226),U_2227)
| ~ sP256(U_2226,U_2227) ),
inference(clausify,[status(thm)],[f_708_3]) ).
fof(f_709_1,plain,
! [A,B] :
( k7_relat_1(B,A) = k3_xboole_0(B,k2_zfmisc_1(A,k2_relat_1(B)))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t96_relat_1]) ).
fof(f_709_2,plain,
! [U_2229,U_2228] :
( k7_relat_1(U_2228,U_2229) = k3_xboole_0(U_2228,k2_zfmisc_1(U_2229,k2_relat_1(U_2228)))
| ~ v1_relat_1(U_2228) ),
inference(variable_rename,[status(thm)],[f_709_1]) ).
fof(f_709_3,plain,
! [U_2229,U_2228] :
( k7_relat_1(U_2228,U_2229) = k3_xboole_0(U_2228,k2_zfmisc_1(U_2229,k2_relat_1(U_2228)))
| ~ v1_relat_1(U_2228) ),
inference(definitional_conversion,[status(esa)],[f_709_2]) ).
cnf(f_709_4,plain,
( k7_relat_1(U_2228,U_2229) = k3_xboole_0(U_2228,k2_zfmisc_1(U_2229,k2_relat_1(U_2228)))
| ~ v1_relat_1(U_2228) ),
inference(clausify,[status(thm)],[f_709_3]) ).
fof(f_710_1,plain,
! [A,B] :
( k7_relat_1(B,A) = B
| ~ r1_tarski(k1_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t97_relat_1]) ).
fof(f_710_2,plain,
! [U_2231,U_2230] :
( k7_relat_1(U_2230,U_2231) = U_2230
| ~ r1_tarski(k1_relat_1(U_2230),U_2231)
| ~ v1_relat_1(U_2230) ),
inference(variable_rename,[status(thm)],[f_710_1]) ).
fof(f_710_3,plain,
! [U_2230,U_2231] :
( k7_relat_1(U_2230,U_2231) = U_2230
| ~ r1_tarski(k1_relat_1(U_2230),U_2231)
| ~ v1_relat_1(U_2230) ),
inference(definitional_conversion,[status(esa)],[f_710_2]) ).
cnf(f_710_4,plain,
( k7_relat_1(U_2230,U_2231) = U_2230
| ~ r1_tarski(k1_relat_1(U_2230),U_2231)
| ~ v1_relat_1(U_2230) ),
inference(clausify,[status(thm)],[f_710_3]) ).
fof(f_711_1,plain,
! [A] :
( k7_relat_1(A,k1_relat_1(A)) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t98_relat_1]) ).
fof(f_711_2,plain,
! [U_2232] :
( k7_relat_1(U_2232,k1_relat_1(U_2232)) = U_2232
| ~ v1_relat_1(U_2232) ),
inference(variable_rename,[status(thm)],[f_711_1]) ).
fof(f_711_3,plain,
! [U_2232] :
( k7_relat_1(U_2232,k1_relat_1(U_2232)) = U_2232
| ~ v1_relat_1(U_2232) ),
inference(definitional_conversion,[status(esa)],[f_711_2]) ).
cnf(f_711_4,plain,
( k7_relat_1(U_2232,k1_relat_1(U_2232)) = U_2232
| ~ v1_relat_1(U_2232) ),
inference(clausify,[status(thm)],[f_711_3]) ).
fof(f_712_1,plain,
! [A,B] :
( r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t99_relat_1]) ).
fof(f_712_2,plain,
! [U_2234,U_2233] :
( r1_tarski(k2_relat_1(k7_relat_1(U_2233,U_2234)),k2_relat_1(U_2233))
| ~ v1_relat_1(U_2233) ),
inference(variable_rename,[status(thm)],[f_712_1]) ).
fof(f_712_3,plain,
! [U_2233,U_2234] :
( r1_tarski(k2_relat_1(k7_relat_1(U_2233,U_2234)),k2_relat_1(U_2233))
| ~ v1_relat_1(U_2233) ),
inference(definitional_conversion,[status(esa)],[f_712_2]) ).
cnf(f_712_4,plain,
( r1_tarski(k2_relat_1(k7_relat_1(U_2233,U_2234)),k2_relat_1(U_2233))
| ~ v1_relat_1(U_2233) ),
inference(clausify,[status(thm)],[f_712_3]) ).
fof(f_713_1,plain,
! [A,B,C] :
( k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,k3_xboole_0(A,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t100_relat_1]) ).
fof(f_713_2,plain,
! [U_2237,U_2236,U_2235] :
( k7_relat_1(k7_relat_1(U_2235,U_2237),U_2236) = k7_relat_1(U_2235,k3_xboole_0(U_2237,U_2236))
| ~ v1_relat_1(U_2235) ),
inference(variable_rename,[status(thm)],[f_713_1]) ).
fof(f_713_3,plain,
! [U_2235,U_2236,U_2237] :
( k7_relat_1(k7_relat_1(U_2235,U_2237),U_2236) = k7_relat_1(U_2235,k3_xboole_0(U_2237,U_2236))
| ~ v1_relat_1(U_2235) ),
inference(definitional_conversion,[status(esa)],[f_713_2]) ).
cnf(f_713_4,plain,
( k7_relat_1(k7_relat_1(U_2235,U_2237),U_2236) = k7_relat_1(U_2235,k3_xboole_0(U_2237,U_2236))
| ~ v1_relat_1(U_2235) ),
inference(clausify,[status(thm)],[f_713_3]) ).
fof(f_714_1,plain,
! [A,B] :
( k7_relat_1(k7_relat_1(B,A),A) = k7_relat_1(B,A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t101_relat_1]) ).
fof(f_714_2,plain,
! [U_2239,U_2238] :
( k7_relat_1(k7_relat_1(U_2238,U_2239),U_2239) = k7_relat_1(U_2238,U_2239)
| ~ v1_relat_1(U_2238) ),
inference(variable_rename,[status(thm)],[f_714_1]) ).
fof(f_714_3,plain,
! [U_2238,U_2239] :
( k7_relat_1(k7_relat_1(U_2238,U_2239),U_2239) = k7_relat_1(U_2238,U_2239)
| ~ v1_relat_1(U_2238) ),
inference(definitional_conversion,[status(esa)],[f_714_2]) ).
cnf(f_714_4,plain,
( k7_relat_1(k7_relat_1(U_2238,U_2239),U_2239) = k7_relat_1(U_2238,U_2239)
| ~ v1_relat_1(U_2238) ),
inference(clausify,[status(thm)],[f_714_3]) ).
fof(f_715_1,plain,
! [A,B,C] :
( k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t102_relat_1]) ).
fof(f_715_2,plain,
! [U_2242,U_2241,U_2240] :
( k7_relat_1(k7_relat_1(U_2240,U_2242),U_2241) = k7_relat_1(U_2240,U_2242)
| ~ r1_tarski(U_2242,U_2241)
| ~ v1_relat_1(U_2240) ),
inference(variable_rename,[status(thm)],[f_715_1]) ).
fof(f_715_3,plain,
! [U_2240,U_2241,U_2242] :
( k7_relat_1(k7_relat_1(U_2240,U_2242),U_2241) = k7_relat_1(U_2240,U_2242)
| ~ r1_tarski(U_2242,U_2241)
| ~ v1_relat_1(U_2240) ),
inference(definitional_conversion,[status(esa)],[f_715_2]) ).
cnf(f_715_4,plain,
( k7_relat_1(k7_relat_1(U_2240,U_2242),U_2241) = k7_relat_1(U_2240,U_2242)
| ~ r1_tarski(U_2242,U_2241)
| ~ v1_relat_1(U_2240) ),
inference(clausify,[status(thm)],[f_715_3]) ).
fof(f_716_1,plain,
! [A,B,C] :
( k7_relat_1(k7_relat_1(C,B),A) = k7_relat_1(C,A)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t103_relat_1]) ).
fof(f_716_2,plain,
! [U_2245,U_2244,U_2243] :
( k7_relat_1(k7_relat_1(U_2243,U_2244),U_2245) = k7_relat_1(U_2243,U_2245)
| ~ r1_tarski(U_2245,U_2244)
| ~ v1_relat_1(U_2243) ),
inference(variable_rename,[status(thm)],[f_716_1]) ).
fof(f_716_3,plain,
! [U_2244,U_2245,U_2243] :
( k7_relat_1(k7_relat_1(U_2243,U_2244),U_2245) = k7_relat_1(U_2243,U_2245)
| ~ r1_tarski(U_2245,U_2244)
| ~ v1_relat_1(U_2243) ),
inference(definitional_conversion,[status(esa)],[f_716_2]) ).
cnf(f_716_4,plain,
( k7_relat_1(k7_relat_1(U_2243,U_2244),U_2245) = k7_relat_1(U_2243,U_2245)
| ~ r1_tarski(U_2245,U_2244)
| ~ v1_relat_1(U_2243) ),
inference(clausify,[status(thm)],[f_716_3]) ).
fof(f_717_1,plain,
! [A,B,C] :
( r1_tarski(k7_relat_1(C,A),k7_relat_1(C,B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t104_relat_1]) ).
fof(f_717_2,plain,
! [U_2248,U_2247,U_2246] :
( r1_tarski(k7_relat_1(U_2246,U_2248),k7_relat_1(U_2246,U_2247))
| ~ r1_tarski(U_2248,U_2247)
| ~ v1_relat_1(U_2246) ),
inference(variable_rename,[status(thm)],[f_717_1]) ).
fof(f_717_3,plain,
! [U_2246,U_2248,U_2247] :
( r1_tarski(k7_relat_1(U_2246,U_2248),k7_relat_1(U_2246,U_2247))
| ~ r1_tarski(U_2248,U_2247)
| ~ v1_relat_1(U_2246) ),
inference(definitional_conversion,[status(esa)],[f_717_2]) ).
cnf(f_717_4,plain,
( r1_tarski(k7_relat_1(U_2246,U_2248),k7_relat_1(U_2246,U_2247))
| ~ r1_tarski(U_2248,U_2247)
| ~ v1_relat_1(U_2246) ),
inference(clausify,[status(thm)],[f_717_3]) ).
fof(f_718_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k7_relat_1(B,A),k7_relat_1(C,A))
| ~ r1_tarski(B,C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t105_relat_1]) ).
fof(f_718_2,plain,
! [U_2251,U_2250] :
( ! [U_2249] :
( r1_tarski(k7_relat_1(U_2250,U_2251),k7_relat_1(U_2249,U_2251))
| ~ r1_tarski(U_2250,U_2249)
| ~ v1_relat_1(U_2249) )
| ~ v1_relat_1(U_2250) ),
inference(variable_rename,[status(thm)],[f_718_1]) ).
fof(f_718_3,plain,
! [U_2249,U_2250,U_2251] :
( r1_tarski(k7_relat_1(U_2250,U_2251),k7_relat_1(U_2249,U_2251))
| ~ r1_tarski(U_2250,U_2249)
| ~ v1_relat_1(U_2249)
| ~ v1_relat_1(U_2250) ),
inference(definitional_conversion,[status(esa)],[f_718_2]) ).
cnf(f_718_4,plain,
( r1_tarski(k7_relat_1(U_2250,U_2251),k7_relat_1(U_2249,U_2251))
| ~ r1_tarski(U_2250,U_2249)
| ~ v1_relat_1(U_2249)
| ~ v1_relat_1(U_2250) ),
inference(clausify,[status(thm)],[f_718_3]) ).
fof(f_719_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(k7_relat_1(C,A),k7_relat_1(D,B))
| ~ r1_tarski(A,B)
| ~ r1_tarski(C,D)
| ~ v1_relat_1(D) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t106_relat_1]) ).
fof(f_719_2,plain,
! [U_2255,U_2254,U_2253] :
( ! [U_2252] :
( r1_tarski(k7_relat_1(U_2253,U_2255),k7_relat_1(U_2252,U_2254))
| ~ r1_tarski(U_2255,U_2254)
| ~ r1_tarski(U_2253,U_2252)
| ~ v1_relat_1(U_2252) )
| ~ v1_relat_1(U_2253) ),
inference(variable_rename,[status(thm)],[f_719_1]) ).
fof(f_719_3,plain,
! [U_2254,U_2255,U_2252,U_2253] :
( r1_tarski(k7_relat_1(U_2253,U_2255),k7_relat_1(U_2252,U_2254))
| ~ r1_tarski(U_2255,U_2254)
| ~ r1_tarski(U_2253,U_2252)
| ~ v1_relat_1(U_2252)
| ~ v1_relat_1(U_2253) ),
inference(definitional_conversion,[status(esa)],[f_719_2]) ).
cnf(f_719_4,plain,
( r1_tarski(k7_relat_1(U_2253,U_2255),k7_relat_1(U_2252,U_2254))
| ~ r1_tarski(U_2255,U_2254)
| ~ r1_tarski(U_2253,U_2252)
| ~ v1_relat_1(U_2252)
| ~ v1_relat_1(U_2253) ),
inference(clausify,[status(thm)],[f_719_3]) ).
fof(f_720_1,plain,
! [A,B,C] :
( k7_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t107_relat_1]) ).
fof(f_720_2,plain,
! [U_2258,U_2257,U_2256] :
( k7_relat_1(U_2256,k2_xboole_0(U_2258,U_2257)) = k2_xboole_0(k7_relat_1(U_2256,U_2258),k7_relat_1(U_2256,U_2257))
| ~ v1_relat_1(U_2256) ),
inference(variable_rename,[status(thm)],[f_720_1]) ).
fof(f_720_3,plain,
! [U_2258,U_2256,U_2257] :
( k7_relat_1(U_2256,k2_xboole_0(U_2258,U_2257)) = k2_xboole_0(k7_relat_1(U_2256,U_2258),k7_relat_1(U_2256,U_2257))
| ~ v1_relat_1(U_2256) ),
inference(definitional_conversion,[status(esa)],[f_720_2]) ).
cnf(f_720_4,plain,
( k7_relat_1(U_2256,k2_xboole_0(U_2258,U_2257)) = k2_xboole_0(k7_relat_1(U_2256,U_2258),k7_relat_1(U_2256,U_2257))
| ~ v1_relat_1(U_2256) ),
inference(clausify,[status(thm)],[f_720_3]) ).
fof(f_721_1,plain,
! [A,B,C] :
( k7_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t108_relat_1]) ).
fof(f_721_2,plain,
! [U_2261,U_2260,U_2259] :
( k7_relat_1(U_2259,k3_xboole_0(U_2261,U_2260)) = k3_xboole_0(k7_relat_1(U_2259,U_2261),k7_relat_1(U_2259,U_2260))
| ~ v1_relat_1(U_2259) ),
inference(variable_rename,[status(thm)],[f_721_1]) ).
fof(f_721_3,plain,
! [U_2260,U_2261,U_2259] :
( k7_relat_1(U_2259,k3_xboole_0(U_2261,U_2260)) = k3_xboole_0(k7_relat_1(U_2259,U_2261),k7_relat_1(U_2259,U_2260))
| ~ v1_relat_1(U_2259) ),
inference(definitional_conversion,[status(esa)],[f_721_2]) ).
cnf(f_721_4,plain,
( k7_relat_1(U_2259,k3_xboole_0(U_2261,U_2260)) = k3_xboole_0(k7_relat_1(U_2259,U_2261),k7_relat_1(U_2259,U_2260))
| ~ v1_relat_1(U_2259) ),
inference(clausify,[status(thm)],[f_721_3]) ).
fof(f_722_1,plain,
! [A,B,C] :
( k7_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t109_relat_1]) ).
fof(f_722_2,plain,
! [U_2264,U_2263,U_2262] :
( k7_relat_1(U_2262,k4_xboole_0(U_2264,U_2263)) = k4_xboole_0(k7_relat_1(U_2262,U_2264),k7_relat_1(U_2262,U_2263))
| ~ v1_relat_1(U_2262) ),
inference(variable_rename,[status(thm)],[f_722_1]) ).
fof(f_722_3,plain,
! [U_2264,U_2262,U_2263] :
( k7_relat_1(U_2262,k4_xboole_0(U_2264,U_2263)) = k4_xboole_0(k7_relat_1(U_2262,U_2264),k7_relat_1(U_2262,U_2263))
| ~ v1_relat_1(U_2262) ),
inference(definitional_conversion,[status(esa)],[f_722_2]) ).
cnf(f_722_4,plain,
( k7_relat_1(U_2262,k4_xboole_0(U_2264,U_2263)) = k4_xboole_0(k7_relat_1(U_2262,U_2264),k7_relat_1(U_2262,U_2263))
| ~ v1_relat_1(U_2262) ),
inference(clausify,[status(thm)],[f_722_3]) ).
fof(f_723_1,plain,
! [A] :
( k7_relat_1(A,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t110_relat_1]) ).
fof(f_723_2,plain,
! [U_2265] :
( k7_relat_1(U_2265,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2265) ),
inference(variable_rename,[status(thm)],[f_723_1]) ).
fof(f_723_3,plain,
! [U_2265] :
( k7_relat_1(U_2265,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2265) ),
inference(definitional_conversion,[status(esa)],[f_723_2]) ).
cnf(f_723_4,plain,
( k7_relat_1(U_2265,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2265) ),
inference(clausify,[status(thm)],[f_723_3]) ).
fof(f_724_1,plain,
! [A] : k7_relat_1(k1_xboole_0,A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t111_relat_1]) ).
fof(f_724_2,plain,
! [U_2266] : k7_relat_1(k1_xboole_0,U_2266) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_724_1]) ).
fof(f_724_3,plain,
! [U_2266] : k7_relat_1(k1_xboole_0,U_2266) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_724_2]) ).
cnf(f_724_4,plain,
k7_relat_1(k1_xboole_0,U_2266) = k1_xboole_0,
inference(clausify,[status(thm)],[f_724_3]) ).
fof(f_725_1,plain,
! [A,B] :
( ! [C] :
( k7_relat_1(k5_relat_1(B,C),A) = k5_relat_1(k7_relat_1(B,A),C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t112_relat_1]) ).
fof(f_725_2,plain,
! [U_2269,U_2268] :
( ! [U_2267] :
( k7_relat_1(k5_relat_1(U_2268,U_2267),U_2269) = k5_relat_1(k7_relat_1(U_2268,U_2269),U_2267)
| ~ v1_relat_1(U_2267) )
| ~ v1_relat_1(U_2268) ),
inference(variable_rename,[status(thm)],[f_725_1]) ).
fof(f_725_3,plain,
! [U_2268,U_2269,U_2267] :
( k7_relat_1(k5_relat_1(U_2268,U_2267),U_2269) = k5_relat_1(k7_relat_1(U_2268,U_2269),U_2267)
| ~ v1_relat_1(U_2267)
| ~ v1_relat_1(U_2268) ),
inference(definitional_conversion,[status(esa)],[f_725_2]) ).
cnf(f_725_4,plain,
( k7_relat_1(k5_relat_1(U_2268,U_2267),U_2269) = k5_relat_1(k7_relat_1(U_2268,U_2269),U_2267)
| ~ v1_relat_1(U_2267)
| ~ v1_relat_1(U_2268) ),
inference(clausify,[status(thm)],[f_725_3]) ).
fof(f_726_1,plain,
! [A,B] :
( ! [C] :
( ( ( C = k8_relat_1(A,B)
| ? [D,E] :
( ( ~ r2_hidden(k4_tarski(D,E),C)
& r2_hidden(k4_tarski(D,E),B)
& r2_hidden(E,A) )
| ( ( ~ r2_hidden(k4_tarski(D,E),B)
| ~ r2_hidden(E,A) )
& r2_hidden(k4_tarski(D,E),C) ) ) )
& ( ! [D,E] :
( ( r2_hidden(k4_tarski(D,E),C)
| ~ r2_hidden(k4_tarski(D,E),B)
| ~ r2_hidden(E,A) )
& ( ( r2_hidden(k4_tarski(D,E),B)
& r2_hidden(E,A) )
| ~ r2_hidden(k4_tarski(D,E),C) ) )
| C != k8_relat_1(A,B) ) )
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[d12_relat_1]) ).
fof(f_726_2,plain,
! [U_2276,U_2275] :
( ! [U_2274] :
( ( ( U_2274 = k8_relat_1(U_2276,U_2275)
| ? [U_2273,U_2272] :
( ( ~ r2_hidden(k4_tarski(U_2273,U_2272),U_2274)
& r2_hidden(k4_tarski(U_2273,U_2272),U_2275)
& r2_hidden(U_2272,U_2276) )
| ( ( ~ r2_hidden(k4_tarski(U_2273,U_2272),U_2275)
| ~ r2_hidden(U_2272,U_2276) )
& r2_hidden(k4_tarski(U_2273,U_2272),U_2274) ) ) )
& ( ! [U_2271,U_2270] :
( ( r2_hidden(k4_tarski(U_2271,U_2270),U_2274)
| ~ r2_hidden(k4_tarski(U_2271,U_2270),U_2275)
| ~ r2_hidden(U_2270,U_2276) )
& ( ( r2_hidden(k4_tarski(U_2271,U_2270),U_2275)
& r2_hidden(U_2270,U_2276) )
| ~ r2_hidden(k4_tarski(U_2271,U_2270),U_2274) ) )
| U_2274 != k8_relat_1(U_2276,U_2275) ) )
| ~ v1_relat_1(U_2274) )
| ~ v1_relat_1(U_2275) ),
inference(variable_rename,[status(thm)],[f_726_1]) ).
fof(f_726_3,plain,
! [U_2276,U_2275] :
( ! [U_2274] :
( ( ( U_2274 = k8_relat_1(U_2276,U_2275)
| ? [U_2284,U_2282] :
( ~ r2_hidden(k4_tarski(U_2284,U_2282),U_2274)
& r2_hidden(k4_tarski(U_2284,U_2282),U_2275)
& r2_hidden(U_2282,U_2276) )
| ? [U_2283,U_2281] :
( ( ~ r2_hidden(k4_tarski(U_2283,U_2281),U_2275)
| ~ r2_hidden(U_2281,U_2276) )
& r2_hidden(k4_tarski(U_2283,U_2281),U_2274) ) )
& ( ( ! [U_2280,U_2278] :
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276) )
& ! [U_2279,U_2277] :
( ( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
& r2_hidden(U_2277,U_2276) )
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274) ) )
| U_2274 != k8_relat_1(U_2276,U_2275) ) )
| ~ v1_relat_1(U_2274) )
| ~ v1_relat_1(U_2275) ),
inference(miniscope,[status(thm)],[f_726_2]) ).
fof(f_726_4,plain,
! [U_2276,U_2275] :
( ! [U_2274] :
( ( ( U_2274 = k8_relat_1(U_2276,U_2275)
| ? [U_2284,U_2282] :
( ~ r2_hidden(k4_tarski(U_2284,U_2282),U_2274)
& r2_hidden(k4_tarski(U_2284,U_2282),U_2275)
& r2_hidden(U_2282,U_2276) )
| ? [U_2281] :
( ( ~ r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),U_2281),U_2275)
| ~ r2_hidden(U_2281,U_2276) )
& r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),U_2281),U_2274) ) )
& ( ( ! [U_2280,U_2278] :
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276) )
& ! [U_2279,U_2277] :
( ( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
& r2_hidden(U_2277,U_2276) )
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274) ) )
| U_2274 != k8_relat_1(U_2276,U_2275) ) )
| ~ v1_relat_1(U_2274) )
| ~ v1_relat_1(U_2275) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK169]),skolemize(U_2283,sK169(U_2276,U_2275,U_2274))],[f_726_3]) ).
fof(f_726_5,plain,
! [U_2276,U_2275] :
( ! [U_2274] :
( ( ( U_2274 = k8_relat_1(U_2276,U_2275)
| ? [U_2284,U_2282] :
( ~ r2_hidden(k4_tarski(U_2284,U_2282),U_2274)
& r2_hidden(k4_tarski(U_2284,U_2282),U_2275)
& r2_hidden(U_2282,U_2276) )
| ( ( ~ r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2275)
| ~ r2_hidden(sK170(U_2276,U_2275,U_2274),U_2276) )
& r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2274) ) )
& ( ( ! [U_2280,U_2278] :
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276) )
& ! [U_2279,U_2277] :
( ( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
& r2_hidden(U_2277,U_2276) )
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274) ) )
| U_2274 != k8_relat_1(U_2276,U_2275) ) )
| ~ v1_relat_1(U_2274) )
| ~ v1_relat_1(U_2275) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK170]),skolemize(U_2281,sK170(U_2276,U_2275,U_2274))],[f_726_4]) ).
fof(f_726_6,plain,
! [U_2276,U_2275] :
( ! [U_2274] :
( ( ( U_2274 = k8_relat_1(U_2276,U_2275)
| ? [U_2282] :
( ~ r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),U_2282),U_2274)
& r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),U_2282),U_2275)
& r2_hidden(U_2282,U_2276) )
| ( ( ~ r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2275)
| ~ r2_hidden(sK170(U_2276,U_2275,U_2274),U_2276) )
& r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2274) ) )
& ( ( ! [U_2280,U_2278] :
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276) )
& ! [U_2279,U_2277] :
( ( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
& r2_hidden(U_2277,U_2276) )
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274) ) )
| U_2274 != k8_relat_1(U_2276,U_2275) ) )
| ~ v1_relat_1(U_2274) )
| ~ v1_relat_1(U_2275) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK171]),skolemize(U_2284,sK171(U_2276,U_2275,U_2274))],[f_726_5]) ).
fof(f_726_7,plain,
! [U_2276,U_2275] :
( ! [U_2274] :
( ( ( U_2274 = k8_relat_1(U_2276,U_2275)
| ( ~ r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),sK172(U_2276,U_2275,U_2274)),U_2274)
& r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),sK172(U_2276,U_2275,U_2274)),U_2275)
& r2_hidden(sK172(U_2276,U_2275,U_2274),U_2276) )
| ( ( ~ r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2275)
| ~ r2_hidden(sK170(U_2276,U_2275,U_2274),U_2276) )
& r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2274) ) )
& ( ( ! [U_2280,U_2278] :
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276) )
& ! [U_2279,U_2277] :
( ( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
& r2_hidden(U_2277,U_2276) )
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274) ) )
| U_2274 != k8_relat_1(U_2276,U_2275) ) )
| ~ v1_relat_1(U_2274) )
| ~ v1_relat_1(U_2275) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK172]),skolemize(U_2282,sK172(U_2276,U_2275,U_2274))],[f_726_6]) ).
fof(f_726_8,plain,
( ! [U_2274,U_2275,U_2276] :
( ~ r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),sK172(U_2276,U_2275,U_2274)),U_2274)
| ~ sP260(U_2274,U_2275,U_2276) )
& ! [U_2274,U_2275,U_2276] :
( r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),sK172(U_2276,U_2275,U_2274)),U_2275)
| ~ sP260(U_2274,U_2275,U_2276) )
& ! [U_2274,U_2275,U_2276] :
( r2_hidden(sK172(U_2276,U_2275,U_2274),U_2276)
| ~ sP260(U_2274,U_2275,U_2276) )
& ! [U_2274,U_2275,U_2276] :
( ~ r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2275)
| ~ r2_hidden(sK170(U_2276,U_2275,U_2274),U_2276)
| ~ sP259(U_2274,U_2275,U_2276) )
& ! [U_2274,U_2275,U_2276] :
( r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2274)
| ~ sP259(U_2274,U_2275,U_2276) )
& ! [U_2279,U_2277,U_2275,U_2276] :
( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
| ~ sP257(U_2279,U_2277,U_2275,U_2276) )
& ! [U_2279,U_2277,U_2275,U_2276] :
( r2_hidden(U_2277,U_2276)
| ~ sP257(U_2279,U_2277,U_2275,U_2276) )
& ! [U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280] :
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276)
| ~ sP258(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) )
& ! [U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280] :
( sP257(U_2279,U_2277,U_2275,U_2276)
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274)
| ~ sP258(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) )
& ! [U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280] :
( U_2274 = k8_relat_1(U_2276,U_2275)
| sP260(U_2274,U_2275,U_2276)
| sP259(U_2274,U_2275,U_2276)
| ~ sP261(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) )
& ! [U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280] :
( sP258(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280)
| U_2274 != k8_relat_1(U_2276,U_2275)
| ~ sP261(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) )
& ! [U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280] :
( sP261(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280)
| ~ v1_relat_1(U_2274)
| ~ v1_relat_1(U_2275) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP257,sP258,sP259,sP260,sP261])],[f_726_7]) ).
cnf(f_726_9,plain,
( sP261(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280)
| ~ v1_relat_1(U_2274)
| ~ v1_relat_1(U_2275) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_10,plain,
( sP258(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280)
| U_2274 != k8_relat_1(U_2276,U_2275)
| ~ sP261(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_11,plain,
( U_2274 = k8_relat_1(U_2276,U_2275)
| sP260(U_2274,U_2275,U_2276)
| sP259(U_2274,U_2275,U_2276)
| ~ sP261(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_12,plain,
( sP257(U_2279,U_2277,U_2275,U_2276)
| ~ r2_hidden(k4_tarski(U_2279,U_2277),U_2274)
| ~ sP258(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_13,plain,
( r2_hidden(k4_tarski(U_2280,U_2278),U_2274)
| ~ r2_hidden(k4_tarski(U_2280,U_2278),U_2275)
| ~ r2_hidden(U_2278,U_2276)
| ~ sP258(U_2279,U_2278,U_2277,U_2274,U_2275,U_2276,U_2280) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_14,plain,
( r2_hidden(U_2277,U_2276)
| ~ sP257(U_2279,U_2277,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_15,plain,
( r2_hidden(k4_tarski(U_2279,U_2277),U_2275)
| ~ sP257(U_2279,U_2277,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_16,plain,
( r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2274)
| ~ sP259(U_2274,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_17,plain,
( ~ r2_hidden(k4_tarski(sK169(U_2276,U_2275,U_2274),sK170(U_2276,U_2275,U_2274)),U_2275)
| ~ r2_hidden(sK170(U_2276,U_2275,U_2274),U_2276)
| ~ sP259(U_2274,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_18,plain,
( r2_hidden(sK172(U_2276,U_2275,U_2274),U_2276)
| ~ sP260(U_2274,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_19,plain,
( r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),sK172(U_2276,U_2275,U_2274)),U_2275)
| ~ sP260(U_2274,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
cnf(f_726_20,plain,
( ~ r2_hidden(k4_tarski(sK171(U_2276,U_2275,U_2274),sK172(U_2276,U_2275,U_2274)),U_2274)
| ~ sP260(U_2274,U_2275,U_2276) ),
inference(clausify,[status(thm)],[f_726_8]) ).
fof(f_727_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t113_relat_1]) ).
fof(f_727_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_727_1]) ).
cnf(f_727_3,plain,
$true,
inference(clausify,[status(thm)],[f_727_2]) ).
fof(f_728_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t114_relat_1]) ).
fof(f_728_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_728_1]) ).
cnf(f_728_3,plain,
$true,
inference(clausify,[status(thm)],[f_728_2]) ).
fof(f_729_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,k2_relat_1(k8_relat_1(B,C)))
| ~ r2_hidden(A,k2_relat_1(C))
| ~ r2_hidden(A,B) )
& ( ( r2_hidden(A,k2_relat_1(C))
& r2_hidden(A,B) )
| ~ r2_hidden(A,k2_relat_1(k8_relat_1(B,C))) ) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t115_relat_1]) ).
fof(f_729_2,plain,
! [U_2287,U_2286,U_2285] :
( ( ( r2_hidden(U_2287,k2_relat_1(k8_relat_1(U_2286,U_2285)))
| ~ r2_hidden(U_2287,k2_relat_1(U_2285))
| ~ r2_hidden(U_2287,U_2286) )
& ( ( r2_hidden(U_2287,k2_relat_1(U_2285))
& r2_hidden(U_2287,U_2286) )
| ~ r2_hidden(U_2287,k2_relat_1(k8_relat_1(U_2286,U_2285))) ) )
| ~ v1_relat_1(U_2285) ),
inference(variable_rename,[status(thm)],[f_729_1]) ).
fof(f_729_3,plain,
( ! [U_2287,U_2285,U_2286] :
( r2_hidden(U_2287,k2_relat_1(U_2285))
| ~ sP262(U_2287,U_2285,U_2286) )
& ! [U_2287,U_2285,U_2286] :
( r2_hidden(U_2287,U_2286)
| ~ sP262(U_2287,U_2285,U_2286) )
& ! [U_2287,U_2285,U_2286] :
( r2_hidden(U_2287,k2_relat_1(k8_relat_1(U_2286,U_2285)))
| ~ r2_hidden(U_2287,k2_relat_1(U_2285))
| ~ r2_hidden(U_2287,U_2286)
| ~ sP263(U_2287,U_2285,U_2286) )
& ! [U_2287,U_2285,U_2286] :
( sP262(U_2287,U_2285,U_2286)
| ~ r2_hidden(U_2287,k2_relat_1(k8_relat_1(U_2286,U_2285)))
| ~ sP263(U_2287,U_2285,U_2286) )
& ! [U_2287,U_2285,U_2286] :
( sP263(U_2287,U_2285,U_2286)
| ~ v1_relat_1(U_2285) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP262,sP263])],[f_729_2]) ).
cnf(f_729_4,plain,
( sP263(U_2287,U_2285,U_2286)
| ~ v1_relat_1(U_2285) ),
inference(clausify,[status(thm)],[f_729_3]) ).
cnf(f_729_5,plain,
( sP262(U_2287,U_2285,U_2286)
| ~ r2_hidden(U_2287,k2_relat_1(k8_relat_1(U_2286,U_2285)))
| ~ sP263(U_2287,U_2285,U_2286) ),
inference(clausify,[status(thm)],[f_729_3]) ).
cnf(f_729_6,plain,
( r2_hidden(U_2287,k2_relat_1(k8_relat_1(U_2286,U_2285)))
| ~ r2_hidden(U_2287,k2_relat_1(U_2285))
| ~ r2_hidden(U_2287,U_2286)
| ~ sP263(U_2287,U_2285,U_2286) ),
inference(clausify,[status(thm)],[f_729_3]) ).
cnf(f_729_7,plain,
( r2_hidden(U_2287,U_2286)
| ~ sP262(U_2287,U_2285,U_2286) ),
inference(clausify,[status(thm)],[f_729_3]) ).
cnf(f_729_8,plain,
( r2_hidden(U_2287,k2_relat_1(U_2285))
| ~ sP262(U_2287,U_2285,U_2286) ),
inference(clausify,[status(thm)],[f_729_3]) ).
fof(f_730_1,plain,
! [A,B] :
( r1_tarski(k2_relat_1(k8_relat_1(A,B)),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t116_relat_1]) ).
fof(f_730_2,plain,
! [U_2289,U_2288] :
( r1_tarski(k2_relat_1(k8_relat_1(U_2289,U_2288)),U_2289)
| ~ v1_relat_1(U_2288) ),
inference(variable_rename,[status(thm)],[f_730_1]) ).
fof(f_730_3,plain,
! [U_2288,U_2289] :
( r1_tarski(k2_relat_1(k8_relat_1(U_2289,U_2288)),U_2289)
| ~ v1_relat_1(U_2288) ),
inference(definitional_conversion,[status(esa)],[f_730_2]) ).
cnf(f_730_4,plain,
( r1_tarski(k2_relat_1(k8_relat_1(U_2289,U_2288)),U_2289)
| ~ v1_relat_1(U_2288) ),
inference(clausify,[status(thm)],[f_730_3]) ).
fof(f_731_1,plain,
! [A,B] :
( r1_tarski(k8_relat_1(A,B),B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t117_relat_1]) ).
fof(f_731_2,plain,
! [U_2291,U_2290] :
( r1_tarski(k8_relat_1(U_2291,U_2290),U_2290)
| ~ v1_relat_1(U_2290) ),
inference(variable_rename,[status(thm)],[f_731_1]) ).
fof(f_731_3,plain,
! [U_2291,U_2290] :
( r1_tarski(k8_relat_1(U_2291,U_2290),U_2290)
| ~ v1_relat_1(U_2290) ),
inference(definitional_conversion,[status(esa)],[f_731_2]) ).
cnf(f_731_4,plain,
( r1_tarski(k8_relat_1(U_2291,U_2290),U_2290)
| ~ v1_relat_1(U_2290) ),
inference(clausify,[status(thm)],[f_731_3]) ).
fof(f_732_1,plain,
! [A,B] :
( r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t118_relat_1]) ).
fof(f_732_2,plain,
! [U_2293,U_2292] :
( r1_tarski(k2_relat_1(k8_relat_1(U_2293,U_2292)),k2_relat_1(U_2292))
| ~ v1_relat_1(U_2292) ),
inference(variable_rename,[status(thm)],[f_732_1]) ).
fof(f_732_3,plain,
! [U_2292,U_2293] :
( r1_tarski(k2_relat_1(k8_relat_1(U_2293,U_2292)),k2_relat_1(U_2292))
| ~ v1_relat_1(U_2292) ),
inference(definitional_conversion,[status(esa)],[f_732_2]) ).
cnf(f_732_4,plain,
( r1_tarski(k2_relat_1(k8_relat_1(U_2293,U_2292)),k2_relat_1(U_2292))
| ~ v1_relat_1(U_2292) ),
inference(clausify,[status(thm)],[f_732_3]) ).
fof(f_733_1,plain,
! [A,B] :
( k2_relat_1(k8_relat_1(A,B)) = k3_xboole_0(k2_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t119_relat_1]) ).
fof(f_733_2,plain,
! [U_2295,U_2294] :
( k2_relat_1(k8_relat_1(U_2295,U_2294)) = k3_xboole_0(k2_relat_1(U_2294),U_2295)
| ~ v1_relat_1(U_2294) ),
inference(variable_rename,[status(thm)],[f_733_1]) ).
fof(f_733_3,plain,
! [U_2294,U_2295] :
( k2_relat_1(k8_relat_1(U_2295,U_2294)) = k3_xboole_0(k2_relat_1(U_2294),U_2295)
| ~ v1_relat_1(U_2294) ),
inference(definitional_conversion,[status(esa)],[f_733_2]) ).
cnf(f_733_4,plain,
( k2_relat_1(k8_relat_1(U_2295,U_2294)) = k3_xboole_0(k2_relat_1(U_2294),U_2295)
| ~ v1_relat_1(U_2294) ),
inference(clausify,[status(thm)],[f_733_3]) ).
fof(f_734_1,plain,
! [A,B] :
( k2_relat_1(k8_relat_1(A,B)) = A
| ~ r1_tarski(A,k2_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t120_relat_1]) ).
fof(f_734_2,plain,
! [U_2297,U_2296] :
( k2_relat_1(k8_relat_1(U_2297,U_2296)) = U_2297
| ~ r1_tarski(U_2297,k2_relat_1(U_2296))
| ~ v1_relat_1(U_2296) ),
inference(variable_rename,[status(thm)],[f_734_1]) ).
fof(f_734_3,plain,
! [U_2297,U_2296] :
( k2_relat_1(k8_relat_1(U_2297,U_2296)) = U_2297
| ~ r1_tarski(U_2297,k2_relat_1(U_2296))
| ~ v1_relat_1(U_2296) ),
inference(definitional_conversion,[status(esa)],[f_734_2]) ).
cnf(f_734_4,plain,
( k2_relat_1(k8_relat_1(U_2297,U_2296)) = U_2297
| ~ r1_tarski(U_2297,k2_relat_1(U_2296))
| ~ v1_relat_1(U_2296) ),
inference(clausify,[status(thm)],[f_734_3]) ).
fof(f_735_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k5_relat_1(k8_relat_1(A,B),C),k5_relat_1(B,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t121_relat_1]) ).
fof(f_735_2,plain,
! [U_2300,U_2299] :
( ! [U_2298] :
( r1_tarski(k5_relat_1(k8_relat_1(U_2300,U_2299),U_2298),k5_relat_1(U_2299,U_2298))
| ~ v1_relat_1(U_2298) )
| ~ v1_relat_1(U_2299) ),
inference(variable_rename,[status(thm)],[f_735_1]) ).
fof(f_735_3,plain,
! [U_2298,U_2299,U_2300] :
( r1_tarski(k5_relat_1(k8_relat_1(U_2300,U_2299),U_2298),k5_relat_1(U_2299,U_2298))
| ~ v1_relat_1(U_2298)
| ~ v1_relat_1(U_2299) ),
inference(definitional_conversion,[status(esa)],[f_735_2]) ).
cnf(f_735_4,plain,
( r1_tarski(k5_relat_1(k8_relat_1(U_2300,U_2299),U_2298),k5_relat_1(U_2299,U_2298))
| ~ v1_relat_1(U_2298)
| ~ v1_relat_1(U_2299) ),
inference(clausify,[status(thm)],[f_735_3]) ).
fof(f_736_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k5_relat_1(B,k8_relat_1(A,C)),k5_relat_1(B,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t122_relat_1]) ).
fof(f_736_2,plain,
! [U_2303,U_2302] :
( ! [U_2301] :
( r1_tarski(k5_relat_1(U_2302,k8_relat_1(U_2303,U_2301)),k5_relat_1(U_2302,U_2301))
| ~ v1_relat_1(U_2301) )
| ~ v1_relat_1(U_2302) ),
inference(variable_rename,[status(thm)],[f_736_1]) ).
fof(f_736_3,plain,
! [U_2302,U_2303,U_2301] :
( r1_tarski(k5_relat_1(U_2302,k8_relat_1(U_2303,U_2301)),k5_relat_1(U_2302,U_2301))
| ~ v1_relat_1(U_2301)
| ~ v1_relat_1(U_2302) ),
inference(definitional_conversion,[status(esa)],[f_736_2]) ).
cnf(f_736_4,plain,
( r1_tarski(k5_relat_1(U_2302,k8_relat_1(U_2303,U_2301)),k5_relat_1(U_2302,U_2301))
| ~ v1_relat_1(U_2301)
| ~ v1_relat_1(U_2302) ),
inference(clausify,[status(thm)],[f_736_3]) ).
fof(f_737_1,plain,
! [A,B] :
( k8_relat_1(A,B) = k5_relat_1(B,k6_relat_1(A))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t123_relat_1]) ).
fof(f_737_2,plain,
! [U_2305,U_2304] :
( k8_relat_1(U_2305,U_2304) = k5_relat_1(U_2304,k6_relat_1(U_2305))
| ~ v1_relat_1(U_2304) ),
inference(variable_rename,[status(thm)],[f_737_1]) ).
fof(f_737_3,plain,
! [U_2305,U_2304] :
( k8_relat_1(U_2305,U_2304) = k5_relat_1(U_2304,k6_relat_1(U_2305))
| ~ v1_relat_1(U_2304) ),
inference(definitional_conversion,[status(esa)],[f_737_2]) ).
cnf(f_737_4,plain,
( k8_relat_1(U_2305,U_2304) = k5_relat_1(U_2304,k6_relat_1(U_2305))
| ~ v1_relat_1(U_2304) ),
inference(clausify,[status(thm)],[f_737_3]) ).
fof(f_738_1,plain,
! [A,B] :
( k8_relat_1(A,B) = k3_xboole_0(B,k2_zfmisc_1(k1_relat_1(B),A))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t124_relat_1]) ).
fof(f_738_2,plain,
! [U_2307,U_2306] :
( k8_relat_1(U_2307,U_2306) = k3_xboole_0(U_2306,k2_zfmisc_1(k1_relat_1(U_2306),U_2307))
| ~ v1_relat_1(U_2306) ),
inference(variable_rename,[status(thm)],[f_738_1]) ).
fof(f_738_3,plain,
! [U_2306,U_2307] :
( k8_relat_1(U_2307,U_2306) = k3_xboole_0(U_2306,k2_zfmisc_1(k1_relat_1(U_2306),U_2307))
| ~ v1_relat_1(U_2306) ),
inference(definitional_conversion,[status(esa)],[f_738_2]) ).
cnf(f_738_4,plain,
( k8_relat_1(U_2307,U_2306) = k3_xboole_0(U_2306,k2_zfmisc_1(k1_relat_1(U_2306),U_2307))
| ~ v1_relat_1(U_2306) ),
inference(clausify,[status(thm)],[f_738_3]) ).
fof(f_739_1,plain,
! [A,B] :
( k8_relat_1(A,B) = B
| ~ r1_tarski(k2_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t125_relat_1]) ).
fof(f_739_2,plain,
! [U_2309,U_2308] :
( k8_relat_1(U_2309,U_2308) = U_2308
| ~ r1_tarski(k2_relat_1(U_2308),U_2309)
| ~ v1_relat_1(U_2308) ),
inference(variable_rename,[status(thm)],[f_739_1]) ).
fof(f_739_3,plain,
! [U_2308,U_2309] :
( k8_relat_1(U_2309,U_2308) = U_2308
| ~ r1_tarski(k2_relat_1(U_2308),U_2309)
| ~ v1_relat_1(U_2308) ),
inference(definitional_conversion,[status(esa)],[f_739_2]) ).
cnf(f_739_4,plain,
( k8_relat_1(U_2309,U_2308) = U_2308
| ~ r1_tarski(k2_relat_1(U_2308),U_2309)
| ~ v1_relat_1(U_2308) ),
inference(clausify,[status(thm)],[f_739_3]) ).
fof(f_740_1,plain,
! [A] :
( k8_relat_1(k2_relat_1(A),A) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t126_relat_1]) ).
fof(f_740_2,plain,
! [U_2310] :
( k8_relat_1(k2_relat_1(U_2310),U_2310) = U_2310
| ~ v1_relat_1(U_2310) ),
inference(variable_rename,[status(thm)],[f_740_1]) ).
fof(f_740_3,plain,
! [U_2310] :
( k8_relat_1(k2_relat_1(U_2310),U_2310) = U_2310
| ~ v1_relat_1(U_2310) ),
inference(definitional_conversion,[status(esa)],[f_740_2]) ).
cnf(f_740_4,plain,
( k8_relat_1(k2_relat_1(U_2310),U_2310) = U_2310
| ~ v1_relat_1(U_2310) ),
inference(clausify,[status(thm)],[f_740_3]) ).
fof(f_741_1,plain,
! [A,B,C] :
( k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(k3_xboole_0(A,B),C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t127_relat_1]) ).
fof(f_741_2,plain,
! [U_2313,U_2312,U_2311] :
( k8_relat_1(U_2313,k8_relat_1(U_2312,U_2311)) = k8_relat_1(k3_xboole_0(U_2313,U_2312),U_2311)
| ~ v1_relat_1(U_2311) ),
inference(variable_rename,[status(thm)],[f_741_1]) ).
fof(f_741_3,plain,
! [U_2313,U_2311,U_2312] :
( k8_relat_1(U_2313,k8_relat_1(U_2312,U_2311)) = k8_relat_1(k3_xboole_0(U_2313,U_2312),U_2311)
| ~ v1_relat_1(U_2311) ),
inference(definitional_conversion,[status(esa)],[f_741_2]) ).
cnf(f_741_4,plain,
( k8_relat_1(U_2313,k8_relat_1(U_2312,U_2311)) = k8_relat_1(k3_xboole_0(U_2313,U_2312),U_2311)
| ~ v1_relat_1(U_2311) ),
inference(clausify,[status(thm)],[f_741_3]) ).
fof(f_742_1,plain,
! [A,B] :
( k8_relat_1(A,k8_relat_1(A,B)) = k8_relat_1(A,B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t128_relat_1]) ).
fof(f_742_2,plain,
! [U_2315,U_2314] :
( k8_relat_1(U_2315,k8_relat_1(U_2315,U_2314)) = k8_relat_1(U_2315,U_2314)
| ~ v1_relat_1(U_2314) ),
inference(variable_rename,[status(thm)],[f_742_1]) ).
fof(f_742_3,plain,
! [U_2314,U_2315] :
( k8_relat_1(U_2315,k8_relat_1(U_2315,U_2314)) = k8_relat_1(U_2315,U_2314)
| ~ v1_relat_1(U_2314) ),
inference(definitional_conversion,[status(esa)],[f_742_2]) ).
cnf(f_742_4,plain,
( k8_relat_1(U_2315,k8_relat_1(U_2315,U_2314)) = k8_relat_1(U_2315,U_2314)
| ~ v1_relat_1(U_2314) ),
inference(clausify,[status(thm)],[f_742_3]) ).
fof(f_743_1,plain,
! [A,B,C] :
( k8_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,C)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t129_relat_1]) ).
fof(f_743_2,plain,
! [U_2318,U_2317,U_2316] :
( k8_relat_1(U_2317,k8_relat_1(U_2318,U_2316)) = k8_relat_1(U_2318,U_2316)
| ~ r1_tarski(U_2318,U_2317)
| ~ v1_relat_1(U_2316) ),
inference(variable_rename,[status(thm)],[f_743_1]) ).
fof(f_743_3,plain,
! [U_2318,U_2316,U_2317] :
( k8_relat_1(U_2317,k8_relat_1(U_2318,U_2316)) = k8_relat_1(U_2318,U_2316)
| ~ r1_tarski(U_2318,U_2317)
| ~ v1_relat_1(U_2316) ),
inference(definitional_conversion,[status(esa)],[f_743_2]) ).
cnf(f_743_4,plain,
( k8_relat_1(U_2317,k8_relat_1(U_2318,U_2316)) = k8_relat_1(U_2318,U_2316)
| ~ r1_tarski(U_2318,U_2317)
| ~ v1_relat_1(U_2316) ),
inference(clausify,[status(thm)],[f_743_3]) ).
fof(f_744_1,plain,
! [A,B,C] :
( k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C)
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t130_relat_1]) ).
fof(f_744_2,plain,
! [U_2321,U_2320,U_2319] :
( k8_relat_1(U_2321,k8_relat_1(U_2320,U_2319)) = k8_relat_1(U_2321,U_2319)
| ~ r1_tarski(U_2321,U_2320)
| ~ v1_relat_1(U_2319) ),
inference(variable_rename,[status(thm)],[f_744_1]) ).
fof(f_744_3,plain,
! [U_2319,U_2320,U_2321] :
( k8_relat_1(U_2321,k8_relat_1(U_2320,U_2319)) = k8_relat_1(U_2321,U_2319)
| ~ r1_tarski(U_2321,U_2320)
| ~ v1_relat_1(U_2319) ),
inference(definitional_conversion,[status(esa)],[f_744_2]) ).
cnf(f_744_4,plain,
( k8_relat_1(U_2321,k8_relat_1(U_2320,U_2319)) = k8_relat_1(U_2321,U_2319)
| ~ r1_tarski(U_2321,U_2320)
| ~ v1_relat_1(U_2319) ),
inference(clausify,[status(thm)],[f_744_3]) ).
fof(f_745_1,plain,
! [A,B,C] :
( r1_tarski(k8_relat_1(A,C),k8_relat_1(B,C))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t131_relat_1]) ).
fof(f_745_2,plain,
! [U_2324,U_2323,U_2322] :
( r1_tarski(k8_relat_1(U_2324,U_2322),k8_relat_1(U_2323,U_2322))
| ~ r1_tarski(U_2324,U_2323)
| ~ v1_relat_1(U_2322) ),
inference(variable_rename,[status(thm)],[f_745_1]) ).
fof(f_745_3,plain,
! [U_2323,U_2322,U_2324] :
( r1_tarski(k8_relat_1(U_2324,U_2322),k8_relat_1(U_2323,U_2322))
| ~ r1_tarski(U_2324,U_2323)
| ~ v1_relat_1(U_2322) ),
inference(definitional_conversion,[status(esa)],[f_745_2]) ).
cnf(f_745_4,plain,
( r1_tarski(k8_relat_1(U_2324,U_2322),k8_relat_1(U_2323,U_2322))
| ~ r1_tarski(U_2324,U_2323)
| ~ v1_relat_1(U_2322) ),
inference(clausify,[status(thm)],[f_745_3]) ).
fof(f_746_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k8_relat_1(A,B),k8_relat_1(A,C))
| ~ r1_tarski(B,C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t132_relat_1]) ).
fof(f_746_2,plain,
! [U_2327,U_2326] :
( ! [U_2325] :
( r1_tarski(k8_relat_1(U_2327,U_2326),k8_relat_1(U_2327,U_2325))
| ~ r1_tarski(U_2326,U_2325)
| ~ v1_relat_1(U_2325) )
| ~ v1_relat_1(U_2326) ),
inference(variable_rename,[status(thm)],[f_746_1]) ).
fof(f_746_3,plain,
! [U_2325,U_2327,U_2326] :
( r1_tarski(k8_relat_1(U_2327,U_2326),k8_relat_1(U_2327,U_2325))
| ~ r1_tarski(U_2326,U_2325)
| ~ v1_relat_1(U_2325)
| ~ v1_relat_1(U_2326) ),
inference(definitional_conversion,[status(esa)],[f_746_2]) ).
cnf(f_746_4,plain,
( r1_tarski(k8_relat_1(U_2327,U_2326),k8_relat_1(U_2327,U_2325))
| ~ r1_tarski(U_2326,U_2325)
| ~ v1_relat_1(U_2325)
| ~ v1_relat_1(U_2326) ),
inference(clausify,[status(thm)],[f_746_3]) ).
fof(f_747_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(k8_relat_1(A,C),k8_relat_1(B,D))
| ~ r1_tarski(A,B)
| ~ r1_tarski(C,D)
| ~ v1_relat_1(D) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t133_relat_1]) ).
fof(f_747_2,plain,
! [U_2331,U_2330,U_2329] :
( ! [U_2328] :
( r1_tarski(k8_relat_1(U_2331,U_2329),k8_relat_1(U_2330,U_2328))
| ~ r1_tarski(U_2331,U_2330)
| ~ r1_tarski(U_2329,U_2328)
| ~ v1_relat_1(U_2328) )
| ~ v1_relat_1(U_2329) ),
inference(variable_rename,[status(thm)],[f_747_1]) ).
fof(f_747_3,plain,
! [U_2328,U_2329,U_2330,U_2331] :
( r1_tarski(k8_relat_1(U_2331,U_2329),k8_relat_1(U_2330,U_2328))
| ~ r1_tarski(U_2331,U_2330)
| ~ r1_tarski(U_2329,U_2328)
| ~ v1_relat_1(U_2328)
| ~ v1_relat_1(U_2329) ),
inference(definitional_conversion,[status(esa)],[f_747_2]) ).
cnf(f_747_4,plain,
( r1_tarski(k8_relat_1(U_2331,U_2329),k8_relat_1(U_2330,U_2328))
| ~ r1_tarski(U_2331,U_2330)
| ~ r1_tarski(U_2329,U_2328)
| ~ v1_relat_1(U_2328)
| ~ v1_relat_1(U_2329) ),
inference(clausify,[status(thm)],[f_747_3]) ).
fof(f_748_1,plain,
! [A,B,C] :
( k8_relat_1(k2_xboole_0(A,B),C) = k2_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t134_relat_1]) ).
fof(f_748_2,plain,
! [U_2334,U_2333,U_2332] :
( k8_relat_1(k2_xboole_0(U_2334,U_2333),U_2332) = k2_xboole_0(k8_relat_1(U_2334,U_2332),k8_relat_1(U_2333,U_2332))
| ~ v1_relat_1(U_2332) ),
inference(variable_rename,[status(thm)],[f_748_1]) ).
fof(f_748_3,plain,
! [U_2333,U_2334,U_2332] :
( k8_relat_1(k2_xboole_0(U_2334,U_2333),U_2332) = k2_xboole_0(k8_relat_1(U_2334,U_2332),k8_relat_1(U_2333,U_2332))
| ~ v1_relat_1(U_2332) ),
inference(definitional_conversion,[status(esa)],[f_748_2]) ).
cnf(f_748_4,plain,
( k8_relat_1(k2_xboole_0(U_2334,U_2333),U_2332) = k2_xboole_0(k8_relat_1(U_2334,U_2332),k8_relat_1(U_2333,U_2332))
| ~ v1_relat_1(U_2332) ),
inference(clausify,[status(thm)],[f_748_3]) ).
fof(f_749_1,plain,
! [A,B,C] :
( k8_relat_1(k3_xboole_0(A,B),C) = k3_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t135_relat_1]) ).
fof(f_749_2,plain,
! [U_2337,U_2336,U_2335] :
( k8_relat_1(k3_xboole_0(U_2337,U_2336),U_2335) = k3_xboole_0(k8_relat_1(U_2337,U_2335),k8_relat_1(U_2336,U_2335))
| ~ v1_relat_1(U_2335) ),
inference(variable_rename,[status(thm)],[f_749_1]) ).
fof(f_749_3,plain,
! [U_2335,U_2336,U_2337] :
( k8_relat_1(k3_xboole_0(U_2337,U_2336),U_2335) = k3_xboole_0(k8_relat_1(U_2337,U_2335),k8_relat_1(U_2336,U_2335))
| ~ v1_relat_1(U_2335) ),
inference(definitional_conversion,[status(esa)],[f_749_2]) ).
cnf(f_749_4,plain,
( k8_relat_1(k3_xboole_0(U_2337,U_2336),U_2335) = k3_xboole_0(k8_relat_1(U_2337,U_2335),k8_relat_1(U_2336,U_2335))
| ~ v1_relat_1(U_2335) ),
inference(clausify,[status(thm)],[f_749_3]) ).
fof(f_750_1,plain,
! [A,B,C] :
( k8_relat_1(k4_xboole_0(A,B),C) = k4_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t136_relat_1]) ).
fof(f_750_2,plain,
! [U_2340,U_2339,U_2338] :
( k8_relat_1(k4_xboole_0(U_2340,U_2339),U_2338) = k4_xboole_0(k8_relat_1(U_2340,U_2338),k8_relat_1(U_2339,U_2338))
| ~ v1_relat_1(U_2338) ),
inference(variable_rename,[status(thm)],[f_750_1]) ).
fof(f_750_3,plain,
! [U_2340,U_2338,U_2339] :
( k8_relat_1(k4_xboole_0(U_2340,U_2339),U_2338) = k4_xboole_0(k8_relat_1(U_2340,U_2338),k8_relat_1(U_2339,U_2338))
| ~ v1_relat_1(U_2338) ),
inference(definitional_conversion,[status(esa)],[f_750_2]) ).
cnf(f_750_4,plain,
( k8_relat_1(k4_xboole_0(U_2340,U_2339),U_2338) = k4_xboole_0(k8_relat_1(U_2340,U_2338),k8_relat_1(U_2339,U_2338))
| ~ v1_relat_1(U_2338) ),
inference(clausify,[status(thm)],[f_750_3]) ).
fof(f_751_1,plain,
! [A] :
( k8_relat_1(k1_xboole_0,A) = k1_xboole_0
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t137_relat_1]) ).
fof(f_751_2,plain,
! [U_2341] :
( k8_relat_1(k1_xboole_0,U_2341) = k1_xboole_0
| ~ v1_relat_1(U_2341) ),
inference(variable_rename,[status(thm)],[f_751_1]) ).
fof(f_751_3,plain,
! [U_2341] :
( k8_relat_1(k1_xboole_0,U_2341) = k1_xboole_0
| ~ v1_relat_1(U_2341) ),
inference(definitional_conversion,[status(esa)],[f_751_2]) ).
cnf(f_751_4,plain,
( k8_relat_1(k1_xboole_0,U_2341) = k1_xboole_0
| ~ v1_relat_1(U_2341) ),
inference(clausify,[status(thm)],[f_751_3]) ).
fof(f_752_1,plain,
! [A] : k8_relat_1(A,k1_xboole_0) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t138_relat_1]) ).
fof(f_752_2,plain,
! [U_2342] : k8_relat_1(U_2342,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_752_1]) ).
fof(f_752_3,plain,
! [U_2342] : k8_relat_1(U_2342,k1_xboole_0) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_752_2]) ).
cnf(f_752_4,plain,
k8_relat_1(U_2342,k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_752_3]) ).
fof(f_753_1,plain,
! [A,B] :
( ! [C] :
( k8_relat_1(A,k5_relat_1(B,C)) = k5_relat_1(B,k8_relat_1(A,C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t139_relat_1]) ).
fof(f_753_2,plain,
! [U_2345,U_2344] :
( ! [U_2343] :
( k8_relat_1(U_2345,k5_relat_1(U_2344,U_2343)) = k5_relat_1(U_2344,k8_relat_1(U_2345,U_2343))
| ~ v1_relat_1(U_2343) )
| ~ v1_relat_1(U_2344) ),
inference(variable_rename,[status(thm)],[f_753_1]) ).
fof(f_753_3,plain,
! [U_2343,U_2344,U_2345] :
( k8_relat_1(U_2345,k5_relat_1(U_2344,U_2343)) = k5_relat_1(U_2344,k8_relat_1(U_2345,U_2343))
| ~ v1_relat_1(U_2343)
| ~ v1_relat_1(U_2344) ),
inference(definitional_conversion,[status(esa)],[f_753_2]) ).
cnf(f_753_4,plain,
( k8_relat_1(U_2345,k5_relat_1(U_2344,U_2343)) = k5_relat_1(U_2344,k8_relat_1(U_2345,U_2343))
| ~ v1_relat_1(U_2343)
| ~ v1_relat_1(U_2344) ),
inference(clausify,[status(thm)],[f_753_3]) ).
fof(f_754_1,plain,
! [A,B,C] :
( k7_relat_1(k8_relat_1(A,C),B) = k8_relat_1(A,k7_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t140_relat_1]) ).
fof(f_754_2,plain,
! [U_2348,U_2347,U_2346] :
( k7_relat_1(k8_relat_1(U_2348,U_2346),U_2347) = k8_relat_1(U_2348,k7_relat_1(U_2346,U_2347))
| ~ v1_relat_1(U_2346) ),
inference(variable_rename,[status(thm)],[f_754_1]) ).
fof(f_754_3,plain,
! [U_2346,U_2347,U_2348] :
( k7_relat_1(k8_relat_1(U_2348,U_2346),U_2347) = k8_relat_1(U_2348,k7_relat_1(U_2346,U_2347))
| ~ v1_relat_1(U_2346) ),
inference(definitional_conversion,[status(esa)],[f_754_2]) ).
cnf(f_754_4,plain,
( k7_relat_1(k8_relat_1(U_2348,U_2346),U_2347) = k8_relat_1(U_2348,k7_relat_1(U_2346,U_2347))
| ~ v1_relat_1(U_2346) ),
inference(clausify,[status(thm)],[f_754_3]) ).
fof(f_755_1,plain,
! [A] :
( ! [B,C] :
( ( C = k9_relat_1(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ? [E] :
( r2_hidden(E,B)
& r2_hidden(k4_tarski(E,D),A) ) )
| ( ! [E] :
( ~ r2_hidden(E,B)
| ~ r2_hidden(k4_tarski(E,D),A) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ! [E] :
( ~ r2_hidden(E,B)
| ~ r2_hidden(k4_tarski(E,D),A) ) )
& ( ? [E] :
( r2_hidden(E,B)
& r2_hidden(k4_tarski(E,D),A) )
| ~ r2_hidden(D,C) ) )
| C != k9_relat_1(A,B) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d13_relat_1]) ).
fof(f_755_2,plain,
! [U_2357] :
( ! [U_2356,U_2355] :
( ( U_2355 = k9_relat_1(U_2357,U_2356)
| ? [U_2354] :
( ( ~ r2_hidden(U_2354,U_2355)
& ? [U_2353] :
( r2_hidden(U_2353,U_2356)
& r2_hidden(k4_tarski(U_2353,U_2354),U_2357) ) )
| ( ! [U_2352] :
( ~ r2_hidden(U_2352,U_2356)
| ~ r2_hidden(k4_tarski(U_2352,U_2354),U_2357) )
& r2_hidden(U_2354,U_2355) ) ) )
& ( ! [U_2351] :
( ( r2_hidden(U_2351,U_2355)
| ! [U_2350] :
( ~ r2_hidden(U_2350,U_2356)
| ~ r2_hidden(k4_tarski(U_2350,U_2351),U_2357) ) )
& ( ? [U_2349] :
( r2_hidden(U_2349,U_2356)
& r2_hidden(k4_tarski(U_2349,U_2351),U_2357) )
| ~ r2_hidden(U_2351,U_2355) ) )
| U_2355 != k9_relat_1(U_2357,U_2356) ) )
| ~ v1_relat_1(U_2357) ),
inference(variable_rename,[status(thm)],[f_755_1]) ).
fof(f_755_3,plain,
! [U_2357] :
( ( ! [U_2365,U_2363] :
( U_2363 = k9_relat_1(U_2357,U_2365)
| ? [U_2361] :
( ~ r2_hidden(U_2361,U_2363)
& ? [U_2353] :
( r2_hidden(U_2353,U_2365)
& r2_hidden(k4_tarski(U_2353,U_2361),U_2357) ) )
| ? [U_2360] :
( ! [U_2352] :
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,U_2360),U_2357) )
& r2_hidden(U_2360,U_2363) ) )
& ! [U_2364,U_2362] :
( ( ! [U_2359] :
( r2_hidden(U_2359,U_2362)
| ! [U_2350] :
( ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357) ) )
& ! [U_2358] :
( ? [U_2349] :
( r2_hidden(U_2349,U_2364)
& r2_hidden(k4_tarski(U_2349,U_2358),U_2357) )
| ~ r2_hidden(U_2358,U_2362) ) )
| U_2362 != k9_relat_1(U_2357,U_2364) ) )
| ~ v1_relat_1(U_2357) ),
inference(miniscope,[status(thm)],[f_755_2]) ).
fof(f_755_4,plain,
! [U_2357] :
( ( ! [U_2365,U_2363] :
( U_2363 = k9_relat_1(U_2357,U_2365)
| ? [U_2361] :
( ~ r2_hidden(U_2361,U_2363)
& ? [U_2353] :
( r2_hidden(U_2353,U_2365)
& r2_hidden(k4_tarski(U_2353,U_2361),U_2357) ) )
| ? [U_2360] :
( ! [U_2352] :
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,U_2360),U_2357) )
& r2_hidden(U_2360,U_2363) ) )
& ! [U_2364,U_2362] :
( ( ! [U_2359] :
( r2_hidden(U_2359,U_2362)
| ! [U_2350] :
( ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357) ) )
& ! [U_2358] :
( ( r2_hidden(sK173(U_2357,U_2364,U_2362,U_2358),U_2364)
& r2_hidden(k4_tarski(sK173(U_2357,U_2364,U_2362,U_2358),U_2358),U_2357) )
| ~ r2_hidden(U_2358,U_2362) ) )
| U_2362 != k9_relat_1(U_2357,U_2364) ) )
| ~ v1_relat_1(U_2357) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK173]),skolemize(U_2349,sK173(U_2357,U_2364,U_2362,U_2358))],[f_755_3]) ).
fof(f_755_5,plain,
! [U_2357] :
( ( ! [U_2365,U_2363] :
( U_2363 = k9_relat_1(U_2357,U_2365)
| ? [U_2361] :
( ~ r2_hidden(U_2361,U_2363)
& ? [U_2353] :
( r2_hidden(U_2353,U_2365)
& r2_hidden(k4_tarski(U_2353,U_2361),U_2357) ) )
| ( ! [U_2352] :
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,sK174(U_2357,U_2365,U_2363)),U_2357) )
& r2_hidden(sK174(U_2357,U_2365,U_2363),U_2363) ) )
& ! [U_2364,U_2362] :
( ( ! [U_2359] :
( r2_hidden(U_2359,U_2362)
| ! [U_2350] :
( ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357) ) )
& ! [U_2358] :
( ( r2_hidden(sK173(U_2357,U_2364,U_2362,U_2358),U_2364)
& r2_hidden(k4_tarski(sK173(U_2357,U_2364,U_2362,U_2358),U_2358),U_2357) )
| ~ r2_hidden(U_2358,U_2362) ) )
| U_2362 != k9_relat_1(U_2357,U_2364) ) )
| ~ v1_relat_1(U_2357) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK174]),skolemize(U_2360,sK174(U_2357,U_2365,U_2363))],[f_755_4]) ).
fof(f_755_6,plain,
! [U_2357] :
( ( ! [U_2365,U_2363] :
( U_2363 = k9_relat_1(U_2357,U_2365)
| ( ~ r2_hidden(sK175(U_2357,U_2365,U_2363),U_2363)
& ? [U_2353] :
( r2_hidden(U_2353,U_2365)
& r2_hidden(k4_tarski(U_2353,sK175(U_2357,U_2365,U_2363)),U_2357) ) )
| ( ! [U_2352] :
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,sK174(U_2357,U_2365,U_2363)),U_2357) )
& r2_hidden(sK174(U_2357,U_2365,U_2363),U_2363) ) )
& ! [U_2364,U_2362] :
( ( ! [U_2359] :
( r2_hidden(U_2359,U_2362)
| ! [U_2350] :
( ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357) ) )
& ! [U_2358] :
( ( r2_hidden(sK173(U_2357,U_2364,U_2362,U_2358),U_2364)
& r2_hidden(k4_tarski(sK173(U_2357,U_2364,U_2362,U_2358),U_2358),U_2357) )
| ~ r2_hidden(U_2358,U_2362) ) )
| U_2362 != k9_relat_1(U_2357,U_2364) ) )
| ~ v1_relat_1(U_2357) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK175]),skolemize(U_2361,sK175(U_2357,U_2365,U_2363))],[f_755_5]) ).
fof(f_755_7,plain,
! [U_2357] :
( ( ! [U_2365,U_2363] :
( U_2363 = k9_relat_1(U_2357,U_2365)
| ( ~ r2_hidden(sK175(U_2357,U_2365,U_2363),U_2363)
& r2_hidden(sK176(U_2357,U_2365,U_2363),U_2365)
& r2_hidden(k4_tarski(sK176(U_2357,U_2365,U_2363),sK175(U_2357,U_2365,U_2363)),U_2357) )
| ( ! [U_2352] :
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,sK174(U_2357,U_2365,U_2363)),U_2357) )
& r2_hidden(sK174(U_2357,U_2365,U_2363),U_2363) ) )
& ! [U_2364,U_2362] :
( ( ! [U_2359] :
( r2_hidden(U_2359,U_2362)
| ! [U_2350] :
( ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357) ) )
& ! [U_2358] :
( ( r2_hidden(sK173(U_2357,U_2364,U_2362,U_2358),U_2364)
& r2_hidden(k4_tarski(sK173(U_2357,U_2364,U_2362,U_2358),U_2358),U_2357) )
| ~ r2_hidden(U_2358,U_2362) ) )
| U_2362 != k9_relat_1(U_2357,U_2364) ) )
| ~ v1_relat_1(U_2357) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK176]),skolemize(U_2353,sK176(U_2357,U_2365,U_2363))],[f_755_6]) ).
fof(f_755_8,plain,
( ! [U_2365,U_2363,U_2357] :
( ~ r2_hidden(sK175(U_2357,U_2365,U_2363),U_2363)
| ~ sP267(U_2365,U_2363,U_2357) )
& ! [U_2365,U_2363,U_2357] :
( r2_hidden(sK176(U_2357,U_2365,U_2363),U_2365)
| ~ sP267(U_2365,U_2363,U_2357) )
& ! [U_2365,U_2363,U_2357] :
( r2_hidden(k4_tarski(sK176(U_2357,U_2365,U_2363),sK175(U_2357,U_2365,U_2363)),U_2357)
| ~ sP267(U_2365,U_2363,U_2357) )
& ! [U_2365,U_2352,U_2363,U_2357] :
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,sK174(U_2357,U_2365,U_2363)),U_2357)
| ~ sP266(U_2365,U_2352,U_2363,U_2357) )
& ! [U_2365,U_2352,U_2363,U_2357] :
( r2_hidden(sK174(U_2357,U_2365,U_2363),U_2363)
| ~ sP266(U_2365,U_2352,U_2363,U_2357) )
& ! [U_2364,U_2362,U_2357,U_2358] :
( r2_hidden(sK173(U_2357,U_2364,U_2362,U_2358),U_2364)
| ~ sP264(U_2364,U_2362,U_2357,U_2358) )
& ! [U_2364,U_2362,U_2357,U_2358] :
( r2_hidden(k4_tarski(sK173(U_2357,U_2364,U_2362,U_2358),U_2358),U_2357)
| ~ sP264(U_2364,U_2362,U_2357,U_2358) )
& ! [U_2364,U_2362,U_2350,U_2357,U_2358,U_2359] :
( r2_hidden(U_2359,U_2362)
| ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357)
| ~ sP265(U_2364,U_2362,U_2350,U_2357,U_2358,U_2359) )
& ! [U_2364,U_2362,U_2350,U_2357,U_2358,U_2359] :
( sP264(U_2364,U_2362,U_2357,U_2358)
| ~ r2_hidden(U_2358,U_2362)
| ~ sP265(U_2364,U_2362,U_2350,U_2357,U_2358,U_2359) )
& ! [U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359] :
( U_2363 = k9_relat_1(U_2357,U_2365)
| sP267(U_2365,U_2363,U_2357)
| sP266(U_2365,U_2352,U_2363,U_2357)
| ~ sP268(U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359) )
& ! [U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359] :
( sP265(U_2364,U_2362,U_2350,U_2357,U_2358,U_2359)
| U_2362 != k9_relat_1(U_2357,U_2364)
| ~ sP268(U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359) )
& ! [U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359] :
( sP268(U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359)
| ~ v1_relat_1(U_2357) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP264,sP265,sP266,sP267,sP268])],[f_755_7]) ).
cnf(f_755_9,plain,
( sP268(U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359)
| ~ v1_relat_1(U_2357) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_10,plain,
( sP265(U_2364,U_2362,U_2350,U_2357,U_2358,U_2359)
| U_2362 != k9_relat_1(U_2357,U_2364)
| ~ sP268(U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_11,plain,
( U_2363 = k9_relat_1(U_2357,U_2365)
| sP267(U_2365,U_2363,U_2357)
| sP266(U_2365,U_2352,U_2363,U_2357)
| ~ sP268(U_2364,U_2365,U_2352,U_2362,U_2350,U_2363,U_2357,U_2358,U_2359) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_12,plain,
( sP264(U_2364,U_2362,U_2357,U_2358)
| ~ r2_hidden(U_2358,U_2362)
| ~ sP265(U_2364,U_2362,U_2350,U_2357,U_2358,U_2359) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_13,plain,
( r2_hidden(U_2359,U_2362)
| ~ r2_hidden(U_2350,U_2364)
| ~ r2_hidden(k4_tarski(U_2350,U_2359),U_2357)
| ~ sP265(U_2364,U_2362,U_2350,U_2357,U_2358,U_2359) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_14,plain,
( r2_hidden(k4_tarski(sK173(U_2357,U_2364,U_2362,U_2358),U_2358),U_2357)
| ~ sP264(U_2364,U_2362,U_2357,U_2358) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_15,plain,
( r2_hidden(sK173(U_2357,U_2364,U_2362,U_2358),U_2364)
| ~ sP264(U_2364,U_2362,U_2357,U_2358) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_16,plain,
( r2_hidden(sK174(U_2357,U_2365,U_2363),U_2363)
| ~ sP266(U_2365,U_2352,U_2363,U_2357) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_17,plain,
( ~ r2_hidden(U_2352,U_2365)
| ~ r2_hidden(k4_tarski(U_2352,sK174(U_2357,U_2365,U_2363)),U_2357)
| ~ sP266(U_2365,U_2352,U_2363,U_2357) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_18,plain,
( r2_hidden(k4_tarski(sK176(U_2357,U_2365,U_2363),sK175(U_2357,U_2365,U_2363)),U_2357)
| ~ sP267(U_2365,U_2363,U_2357) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_19,plain,
( r2_hidden(sK176(U_2357,U_2365,U_2363),U_2365)
| ~ sP267(U_2365,U_2363,U_2357) ),
inference(clausify,[status(thm)],[f_755_8]) ).
cnf(f_755_20,plain,
( ~ r2_hidden(sK175(U_2357,U_2365,U_2363),U_2363)
| ~ sP267(U_2365,U_2363,U_2357) ),
inference(clausify,[status(thm)],[f_755_8]) ).
fof(f_756_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t141_relat_1]) ).
fof(f_756_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_756_1]) ).
cnf(f_756_3,plain,
$true,
inference(clausify,[status(thm)],[f_756_2]) ).
fof(f_757_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t142_relat_1]) ).
fof(f_757_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_757_1]) ).
cnf(f_757_3,plain,
$true,
inference(clausify,[status(thm)],[f_757_2]) ).
fof(f_758_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,k9_relat_1(C,B))
| ! [D] :
( ~ r2_hidden(D,B)
| ~ r2_hidden(k4_tarski(D,A),C)
| ~ r2_hidden(D,k1_relat_1(C)) ) )
& ( ? [D] :
( r2_hidden(D,B)
& r2_hidden(k4_tarski(D,A),C)
& r2_hidden(D,k1_relat_1(C)) )
| ~ r2_hidden(A,k9_relat_1(C,B)) ) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t143_relat_1]) ).
fof(f_758_2,plain,
! [U_2370,U_2369,U_2368] :
( ( ( r2_hidden(U_2370,k9_relat_1(U_2368,U_2369))
| ! [U_2367] :
( ~ r2_hidden(U_2367,U_2369)
| ~ r2_hidden(k4_tarski(U_2367,U_2370),U_2368)
| ~ r2_hidden(U_2367,k1_relat_1(U_2368)) ) )
& ( ? [U_2366] :
( r2_hidden(U_2366,U_2369)
& r2_hidden(k4_tarski(U_2366,U_2370),U_2368)
& r2_hidden(U_2366,k1_relat_1(U_2368)) )
| ~ r2_hidden(U_2370,k9_relat_1(U_2368,U_2369)) ) )
| ~ v1_relat_1(U_2368) ),
inference(variable_rename,[status(thm)],[f_758_1]) ).
fof(f_758_3,plain,
! [U_2370,U_2369,U_2368] :
( ( ( r2_hidden(U_2370,k9_relat_1(U_2368,U_2369))
| ! [U_2367] :
( ~ r2_hidden(U_2367,U_2369)
| ~ r2_hidden(k4_tarski(U_2367,U_2370),U_2368)
| ~ r2_hidden(U_2367,k1_relat_1(U_2368)) ) )
& ( ( r2_hidden(sK177(U_2370,U_2369,U_2368),U_2369)
& r2_hidden(k4_tarski(sK177(U_2370,U_2369,U_2368),U_2370),U_2368)
& r2_hidden(sK177(U_2370,U_2369,U_2368),k1_relat_1(U_2368)) )
| ~ r2_hidden(U_2370,k9_relat_1(U_2368,U_2369)) ) )
| ~ v1_relat_1(U_2368) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177]),skolemize(U_2366,sK177(U_2370,U_2369,U_2368))],[f_758_2]) ).
fof(f_758_4,plain,
( ! [U_2369,U_2370,U_2368] :
( r2_hidden(sK177(U_2370,U_2369,U_2368),U_2369)
| ~ sP269(U_2369,U_2370,U_2368) )
& ! [U_2369,U_2370,U_2368] :
( r2_hidden(k4_tarski(sK177(U_2370,U_2369,U_2368),U_2370),U_2368)
| ~ sP269(U_2369,U_2370,U_2368) )
& ! [U_2369,U_2370,U_2368] :
( r2_hidden(sK177(U_2370,U_2369,U_2368),k1_relat_1(U_2368))
| ~ sP269(U_2369,U_2370,U_2368) )
& ! [U_2369,U_2367,U_2370,U_2368] :
( r2_hidden(U_2370,k9_relat_1(U_2368,U_2369))
| ~ r2_hidden(U_2367,U_2369)
| ~ r2_hidden(k4_tarski(U_2367,U_2370),U_2368)
| ~ r2_hidden(U_2367,k1_relat_1(U_2368))
| ~ sP270(U_2369,U_2367,U_2370,U_2368) )
& ! [U_2369,U_2367,U_2370,U_2368] :
( sP269(U_2369,U_2370,U_2368)
| ~ r2_hidden(U_2370,k9_relat_1(U_2368,U_2369))
| ~ sP270(U_2369,U_2367,U_2370,U_2368) )
& ! [U_2369,U_2367,U_2370,U_2368] :
( sP270(U_2369,U_2367,U_2370,U_2368)
| ~ v1_relat_1(U_2368) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP269,sP270])],[f_758_3]) ).
cnf(f_758_5,plain,
( sP270(U_2369,U_2367,U_2370,U_2368)
| ~ v1_relat_1(U_2368) ),
inference(clausify,[status(thm)],[f_758_4]) ).
cnf(f_758_6,plain,
( sP269(U_2369,U_2370,U_2368)
| ~ r2_hidden(U_2370,k9_relat_1(U_2368,U_2369))
| ~ sP270(U_2369,U_2367,U_2370,U_2368) ),
inference(clausify,[status(thm)],[f_758_4]) ).
cnf(f_758_7,plain,
( r2_hidden(U_2370,k9_relat_1(U_2368,U_2369))
| ~ r2_hidden(U_2367,U_2369)
| ~ r2_hidden(k4_tarski(U_2367,U_2370),U_2368)
| ~ r2_hidden(U_2367,k1_relat_1(U_2368))
| ~ sP270(U_2369,U_2367,U_2370,U_2368) ),
inference(clausify,[status(thm)],[f_758_4]) ).
cnf(f_758_8,plain,
( r2_hidden(sK177(U_2370,U_2369,U_2368),k1_relat_1(U_2368))
| ~ sP269(U_2369,U_2370,U_2368) ),
inference(clausify,[status(thm)],[f_758_4]) ).
cnf(f_758_9,plain,
( r2_hidden(k4_tarski(sK177(U_2370,U_2369,U_2368),U_2370),U_2368)
| ~ sP269(U_2369,U_2370,U_2368) ),
inference(clausify,[status(thm)],[f_758_4]) ).
cnf(f_758_10,plain,
( r2_hidden(sK177(U_2370,U_2369,U_2368),U_2369)
| ~ sP269(U_2369,U_2370,U_2368) ),
inference(clausify,[status(thm)],[f_758_4]) ).
fof(f_759_1,plain,
! [A,B] :
( r1_tarski(k9_relat_1(B,A),k2_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t144_relat_1]) ).
fof(f_759_2,plain,
! [U_2372,U_2371] :
( r1_tarski(k9_relat_1(U_2371,U_2372),k2_relat_1(U_2371))
| ~ v1_relat_1(U_2371) ),
inference(variable_rename,[status(thm)],[f_759_1]) ).
fof(f_759_3,plain,
! [U_2371,U_2372] :
( r1_tarski(k9_relat_1(U_2371,U_2372),k2_relat_1(U_2371))
| ~ v1_relat_1(U_2371) ),
inference(definitional_conversion,[status(esa)],[f_759_2]) ).
cnf(f_759_4,plain,
( r1_tarski(k9_relat_1(U_2371,U_2372),k2_relat_1(U_2371))
| ~ v1_relat_1(U_2371) ),
inference(clausify,[status(thm)],[f_759_3]) ).
fof(f_760_1,plain,
! [A,B] :
( k9_relat_1(B,A) = k9_relat_1(B,k3_xboole_0(k1_relat_1(B),A))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t145_relat_1]) ).
fof(f_760_2,plain,
! [U_2374,U_2373] :
( k9_relat_1(U_2373,U_2374) = k9_relat_1(U_2373,k3_xboole_0(k1_relat_1(U_2373),U_2374))
| ~ v1_relat_1(U_2373) ),
inference(variable_rename,[status(thm)],[f_760_1]) ).
fof(f_760_3,plain,
! [U_2373,U_2374] :
( k9_relat_1(U_2373,U_2374) = k9_relat_1(U_2373,k3_xboole_0(k1_relat_1(U_2373),U_2374))
| ~ v1_relat_1(U_2373) ),
inference(definitional_conversion,[status(esa)],[f_760_2]) ).
cnf(f_760_4,plain,
( k9_relat_1(U_2373,U_2374) = k9_relat_1(U_2373,k3_xboole_0(k1_relat_1(U_2373),U_2374))
| ~ v1_relat_1(U_2373) ),
inference(clausify,[status(thm)],[f_760_3]) ).
fof(f_761_1,plain,
! [A] :
( k9_relat_1(A,k1_relat_1(A)) = k2_relat_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t146_relat_1]) ).
fof(f_761_2,plain,
! [U_2375] :
( k9_relat_1(U_2375,k1_relat_1(U_2375)) = k2_relat_1(U_2375)
| ~ v1_relat_1(U_2375) ),
inference(variable_rename,[status(thm)],[f_761_1]) ).
fof(f_761_3,plain,
! [U_2375] :
( k9_relat_1(U_2375,k1_relat_1(U_2375)) = k2_relat_1(U_2375)
| ~ v1_relat_1(U_2375) ),
inference(definitional_conversion,[status(esa)],[f_761_2]) ).
cnf(f_761_4,plain,
( k9_relat_1(U_2375,k1_relat_1(U_2375)) = k2_relat_1(U_2375)
| ~ v1_relat_1(U_2375) ),
inference(clausify,[status(thm)],[f_761_3]) ).
fof(f_762_1,plain,
! [A,B] :
( r1_tarski(k9_relat_1(B,A),k9_relat_1(B,k1_relat_1(B)))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t147_relat_1]) ).
fof(f_762_2,plain,
! [U_2377,U_2376] :
( r1_tarski(k9_relat_1(U_2376,U_2377),k9_relat_1(U_2376,k1_relat_1(U_2376)))
| ~ v1_relat_1(U_2376) ),
inference(variable_rename,[status(thm)],[f_762_1]) ).
fof(f_762_3,plain,
! [U_2376,U_2377] :
( r1_tarski(k9_relat_1(U_2376,U_2377),k9_relat_1(U_2376,k1_relat_1(U_2376)))
| ~ v1_relat_1(U_2376) ),
inference(definitional_conversion,[status(esa)],[f_762_2]) ).
cnf(f_762_4,plain,
( r1_tarski(k9_relat_1(U_2376,U_2377),k9_relat_1(U_2376,k1_relat_1(U_2376)))
| ~ v1_relat_1(U_2376) ),
inference(clausify,[status(thm)],[f_762_3]) ).
fof(f_763_1,plain,
! [A,B] :
( k2_relat_1(k7_relat_1(B,A)) = k9_relat_1(B,A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t148_relat_1]) ).
fof(f_763_2,plain,
! [U_2379,U_2378] :
( k2_relat_1(k7_relat_1(U_2378,U_2379)) = k9_relat_1(U_2378,U_2379)
| ~ v1_relat_1(U_2378) ),
inference(variable_rename,[status(thm)],[f_763_1]) ).
fof(f_763_3,plain,
! [U_2379,U_2378] :
( k2_relat_1(k7_relat_1(U_2378,U_2379)) = k9_relat_1(U_2378,U_2379)
| ~ v1_relat_1(U_2378) ),
inference(definitional_conversion,[status(esa)],[f_763_2]) ).
cnf(f_763_4,plain,
( k2_relat_1(k7_relat_1(U_2378,U_2379)) = k9_relat_1(U_2378,U_2379)
| ~ v1_relat_1(U_2378) ),
inference(clausify,[status(thm)],[f_763_3]) ).
fof(f_764_1,plain,
! [A] :
( k9_relat_1(A,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t149_relat_1]) ).
fof(f_764_2,plain,
! [U_2380] :
( k9_relat_1(U_2380,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2380) ),
inference(variable_rename,[status(thm)],[f_764_1]) ).
fof(f_764_3,plain,
! [U_2380] :
( k9_relat_1(U_2380,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2380) ),
inference(definitional_conversion,[status(esa)],[f_764_2]) ).
cnf(f_764_4,plain,
( k9_relat_1(U_2380,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2380) ),
inference(clausify,[status(thm)],[f_764_3]) ).
fof(f_765_1,plain,
! [A] : k9_relat_1(k1_xboole_0,A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t150_relat_1]) ).
fof(f_765_2,plain,
! [U_2381] : k9_relat_1(k1_xboole_0,U_2381) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_765_1]) ).
fof(f_765_3,plain,
! [U_2381] : k9_relat_1(k1_xboole_0,U_2381) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_765_2]) ).
cnf(f_765_4,plain,
k9_relat_1(k1_xboole_0,U_2381) = k1_xboole_0,
inference(clausify,[status(thm)],[f_765_3]) ).
fof(f_766_1,plain,
! [A,B] :
( ( ( k9_relat_1(B,A) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(B),A) )
& ( r1_xboole_0(k1_relat_1(B),A)
| k9_relat_1(B,A) != k1_xboole_0 ) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t151_relat_1]) ).
fof(f_766_2,plain,
! [U_2383,U_2382] :
( ( ( k9_relat_1(U_2382,U_2383) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(U_2382),U_2383) )
& ( r1_xboole_0(k1_relat_1(U_2382),U_2383)
| k9_relat_1(U_2382,U_2383) != k1_xboole_0 ) )
| ~ v1_relat_1(U_2382) ),
inference(variable_rename,[status(thm)],[f_766_1]) ).
fof(f_766_3,plain,
( ! [U_2382,U_2383] :
( k9_relat_1(U_2382,U_2383) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(U_2382),U_2383)
| ~ sP271(U_2382,U_2383) )
& ! [U_2382,U_2383] :
( r1_xboole_0(k1_relat_1(U_2382),U_2383)
| k9_relat_1(U_2382,U_2383) != k1_xboole_0
| ~ sP271(U_2382,U_2383) )
& ! [U_2382,U_2383] :
( sP271(U_2382,U_2383)
| ~ v1_relat_1(U_2382) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP271])],[f_766_2]) ).
cnf(f_766_4,plain,
( sP271(U_2382,U_2383)
| ~ v1_relat_1(U_2382) ),
inference(clausify,[status(thm)],[f_766_3]) ).
cnf(f_766_5,plain,
( r1_xboole_0(k1_relat_1(U_2382),U_2383)
| k9_relat_1(U_2382,U_2383) != k1_xboole_0
| ~ sP271(U_2382,U_2383) ),
inference(clausify,[status(thm)],[f_766_3]) ).
cnf(f_766_6,plain,
( k9_relat_1(U_2382,U_2383) = k1_xboole_0
| ~ r1_xboole_0(k1_relat_1(U_2382),U_2383)
| ~ sP271(U_2382,U_2383) ),
inference(clausify,[status(thm)],[f_766_3]) ).
fof(f_767_1,plain,
! [A,B] :
( k9_relat_1(B,A) != k1_xboole_0
| ~ r1_tarski(A,k1_relat_1(B))
| A = k1_xboole_0
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t152_relat_1]) ).
fof(f_767_2,plain,
! [U_2385,U_2384] :
( k9_relat_1(U_2384,U_2385) != k1_xboole_0
| ~ r1_tarski(U_2385,k1_relat_1(U_2384))
| U_2385 = k1_xboole_0
| ~ v1_relat_1(U_2384) ),
inference(variable_rename,[status(thm)],[f_767_1]) ).
fof(f_767_3,plain,
! [U_2385,U_2384] :
( k9_relat_1(U_2384,U_2385) != k1_xboole_0
| ~ r1_tarski(U_2385,k1_relat_1(U_2384))
| U_2385 = k1_xboole_0
| ~ v1_relat_1(U_2384) ),
inference(definitional_conversion,[status(esa)],[f_767_2]) ).
cnf(f_767_4,plain,
( k9_relat_1(U_2384,U_2385) != k1_xboole_0
| ~ r1_tarski(U_2385,k1_relat_1(U_2384))
| U_2385 = k1_xboole_0
| ~ v1_relat_1(U_2384) ),
inference(clausify,[status(thm)],[f_767_3]) ).
fof(f_768_1,plain,
! [A,B,C] :
( k9_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t153_relat_1]) ).
fof(f_768_2,plain,
! [U_2388,U_2387,U_2386] :
( k9_relat_1(U_2386,k2_xboole_0(U_2388,U_2387)) = k2_xboole_0(k9_relat_1(U_2386,U_2388),k9_relat_1(U_2386,U_2387))
| ~ v1_relat_1(U_2386) ),
inference(variable_rename,[status(thm)],[f_768_1]) ).
fof(f_768_3,plain,
! [U_2386,U_2387,U_2388] :
( k9_relat_1(U_2386,k2_xboole_0(U_2388,U_2387)) = k2_xboole_0(k9_relat_1(U_2386,U_2388),k9_relat_1(U_2386,U_2387))
| ~ v1_relat_1(U_2386) ),
inference(definitional_conversion,[status(esa)],[f_768_2]) ).
cnf(f_768_4,plain,
( k9_relat_1(U_2386,k2_xboole_0(U_2388,U_2387)) = k2_xboole_0(k9_relat_1(U_2386,U_2388),k9_relat_1(U_2386,U_2387))
| ~ v1_relat_1(U_2386) ),
inference(clausify,[status(thm)],[f_768_3]) ).
fof(f_769_1,plain,
! [A,B,C] :
( r1_tarski(k9_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t154_relat_1]) ).
fof(f_769_2,plain,
! [U_2391,U_2390,U_2389] :
( r1_tarski(k9_relat_1(U_2389,k3_xboole_0(U_2391,U_2390)),k3_xboole_0(k9_relat_1(U_2389,U_2391),k9_relat_1(U_2389,U_2390)))
| ~ v1_relat_1(U_2389) ),
inference(variable_rename,[status(thm)],[f_769_1]) ).
fof(f_769_3,plain,
! [U_2389,U_2390,U_2391] :
( r1_tarski(k9_relat_1(U_2389,k3_xboole_0(U_2391,U_2390)),k3_xboole_0(k9_relat_1(U_2389,U_2391),k9_relat_1(U_2389,U_2390)))
| ~ v1_relat_1(U_2389) ),
inference(definitional_conversion,[status(esa)],[f_769_2]) ).
cnf(f_769_4,plain,
( r1_tarski(k9_relat_1(U_2389,k3_xboole_0(U_2391,U_2390)),k3_xboole_0(k9_relat_1(U_2389,U_2391),k9_relat_1(U_2389,U_2390)))
| ~ v1_relat_1(U_2389) ),
inference(clausify,[status(thm)],[f_769_3]) ).
fof(f_770_1,plain,
! [A,B,C] :
( r1_tarski(k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)),k9_relat_1(C,k4_xboole_0(A,B)))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t155_relat_1]) ).
fof(f_770_2,plain,
! [U_2394,U_2393,U_2392] :
( r1_tarski(k4_xboole_0(k9_relat_1(U_2392,U_2394),k9_relat_1(U_2392,U_2393)),k9_relat_1(U_2392,k4_xboole_0(U_2394,U_2393)))
| ~ v1_relat_1(U_2392) ),
inference(variable_rename,[status(thm)],[f_770_1]) ).
fof(f_770_3,plain,
! [U_2392,U_2393,U_2394] :
( r1_tarski(k4_xboole_0(k9_relat_1(U_2392,U_2394),k9_relat_1(U_2392,U_2393)),k9_relat_1(U_2392,k4_xboole_0(U_2394,U_2393)))
| ~ v1_relat_1(U_2392) ),
inference(definitional_conversion,[status(esa)],[f_770_2]) ).
cnf(f_770_4,plain,
( r1_tarski(k4_xboole_0(k9_relat_1(U_2392,U_2394),k9_relat_1(U_2392,U_2393)),k9_relat_1(U_2392,k4_xboole_0(U_2394,U_2393)))
| ~ v1_relat_1(U_2392) ),
inference(clausify,[status(thm)],[f_770_3]) ).
fof(f_771_1,plain,
! [A,B,C] :
( r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t156_relat_1]) ).
fof(f_771_2,plain,
! [U_2397,U_2396,U_2395] :
( r1_tarski(k9_relat_1(U_2395,U_2397),k9_relat_1(U_2395,U_2396))
| ~ r1_tarski(U_2397,U_2396)
| ~ v1_relat_1(U_2395) ),
inference(variable_rename,[status(thm)],[f_771_1]) ).
fof(f_771_3,plain,
! [U_2395,U_2396,U_2397] :
( r1_tarski(k9_relat_1(U_2395,U_2397),k9_relat_1(U_2395,U_2396))
| ~ r1_tarski(U_2397,U_2396)
| ~ v1_relat_1(U_2395) ),
inference(definitional_conversion,[status(esa)],[f_771_2]) ).
cnf(f_771_4,plain,
( r1_tarski(k9_relat_1(U_2395,U_2397),k9_relat_1(U_2395,U_2396))
| ~ r1_tarski(U_2397,U_2396)
| ~ v1_relat_1(U_2395) ),
inference(clausify,[status(thm)],[f_771_3]) ).
fof(f_772_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A))
| ~ r1_tarski(B,C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t157_relat_1]) ).
fof(f_772_2,plain,
! [U_2400,U_2399] :
( ! [U_2398] :
( r1_tarski(k9_relat_1(U_2399,U_2400),k9_relat_1(U_2398,U_2400))
| ~ r1_tarski(U_2399,U_2398)
| ~ v1_relat_1(U_2398) )
| ~ v1_relat_1(U_2399) ),
inference(variable_rename,[status(thm)],[f_772_1]) ).
fof(f_772_3,plain,
! [U_2398,U_2399,U_2400] :
( r1_tarski(k9_relat_1(U_2399,U_2400),k9_relat_1(U_2398,U_2400))
| ~ r1_tarski(U_2399,U_2398)
| ~ v1_relat_1(U_2398)
| ~ v1_relat_1(U_2399) ),
inference(definitional_conversion,[status(esa)],[f_772_2]) ).
cnf(f_772_4,plain,
( r1_tarski(k9_relat_1(U_2399,U_2400),k9_relat_1(U_2398,U_2400))
| ~ r1_tarski(U_2399,U_2398)
| ~ v1_relat_1(U_2398)
| ~ v1_relat_1(U_2399) ),
inference(clausify,[status(thm)],[f_772_3]) ).
fof(f_773_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(k9_relat_1(C,A),k9_relat_1(D,B))
| ~ r1_tarski(A,B)
| ~ r1_tarski(C,D)
| ~ v1_relat_1(D) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t158_relat_1]) ).
fof(f_773_2,plain,
! [U_2404,U_2403,U_2402] :
( ! [U_2401] :
( r1_tarski(k9_relat_1(U_2402,U_2404),k9_relat_1(U_2401,U_2403))
| ~ r1_tarski(U_2404,U_2403)
| ~ r1_tarski(U_2402,U_2401)
| ~ v1_relat_1(U_2401) )
| ~ v1_relat_1(U_2402) ),
inference(variable_rename,[status(thm)],[f_773_1]) ).
fof(f_773_3,plain,
! [U_2403,U_2401,U_2404,U_2402] :
( r1_tarski(k9_relat_1(U_2402,U_2404),k9_relat_1(U_2401,U_2403))
| ~ r1_tarski(U_2404,U_2403)
| ~ r1_tarski(U_2402,U_2401)
| ~ v1_relat_1(U_2401)
| ~ v1_relat_1(U_2402) ),
inference(definitional_conversion,[status(esa)],[f_773_2]) ).
cnf(f_773_4,plain,
( r1_tarski(k9_relat_1(U_2402,U_2404),k9_relat_1(U_2401,U_2403))
| ~ r1_tarski(U_2404,U_2403)
| ~ r1_tarski(U_2402,U_2401)
| ~ v1_relat_1(U_2401)
| ~ v1_relat_1(U_2402) ),
inference(clausify,[status(thm)],[f_773_3]) ).
fof(f_774_1,plain,
! [A,B] :
( ! [C] :
( k9_relat_1(k5_relat_1(B,C),A) = k9_relat_1(C,k9_relat_1(B,A))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t159_relat_1]) ).
fof(f_774_2,plain,
! [U_2407,U_2406] :
( ! [U_2405] :
( k9_relat_1(k5_relat_1(U_2406,U_2405),U_2407) = k9_relat_1(U_2405,k9_relat_1(U_2406,U_2407))
| ~ v1_relat_1(U_2405) )
| ~ v1_relat_1(U_2406) ),
inference(variable_rename,[status(thm)],[f_774_1]) ).
fof(f_774_3,plain,
! [U_2407,U_2406,U_2405] :
( k9_relat_1(k5_relat_1(U_2406,U_2405),U_2407) = k9_relat_1(U_2405,k9_relat_1(U_2406,U_2407))
| ~ v1_relat_1(U_2405)
| ~ v1_relat_1(U_2406) ),
inference(definitional_conversion,[status(esa)],[f_774_2]) ).
cnf(f_774_4,plain,
( k9_relat_1(k5_relat_1(U_2406,U_2405),U_2407) = k9_relat_1(U_2405,k9_relat_1(U_2406,U_2407))
| ~ v1_relat_1(U_2405)
| ~ v1_relat_1(U_2406) ),
inference(clausify,[status(thm)],[f_774_3]) ).
fof(f_775_1,plain,
! [A] :
( ! [B] :
( k2_relat_1(k5_relat_1(A,B)) = k9_relat_1(B,k2_relat_1(A))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t160_relat_1]) ).
fof(f_775_2,plain,
! [U_2409] :
( ! [U_2408] :
( k2_relat_1(k5_relat_1(U_2409,U_2408)) = k9_relat_1(U_2408,k2_relat_1(U_2409))
| ~ v1_relat_1(U_2408) )
| ~ v1_relat_1(U_2409) ),
inference(variable_rename,[status(thm)],[f_775_1]) ).
fof(f_775_3,plain,
! [U_2409,U_2408] :
( k2_relat_1(k5_relat_1(U_2409,U_2408)) = k9_relat_1(U_2408,k2_relat_1(U_2409))
| ~ v1_relat_1(U_2408)
| ~ v1_relat_1(U_2409) ),
inference(definitional_conversion,[status(esa)],[f_775_2]) ).
cnf(f_775_4,plain,
( k2_relat_1(k5_relat_1(U_2409,U_2408)) = k9_relat_1(U_2408,k2_relat_1(U_2409))
| ~ v1_relat_1(U_2408)
| ~ v1_relat_1(U_2409) ),
inference(clausify,[status(thm)],[f_775_3]) ).
fof(f_776_1,plain,
! [A,B,C] :
( r1_tarski(k9_relat_1(k7_relat_1(C,A),B),k9_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t161_relat_1]) ).
fof(f_776_2,plain,
! [U_2412,U_2411,U_2410] :
( r1_tarski(k9_relat_1(k7_relat_1(U_2410,U_2412),U_2411),k9_relat_1(U_2410,U_2411))
| ~ v1_relat_1(U_2410) ),
inference(variable_rename,[status(thm)],[f_776_1]) ).
fof(f_776_3,plain,
! [U_2411,U_2412,U_2410] :
( r1_tarski(k9_relat_1(k7_relat_1(U_2410,U_2412),U_2411),k9_relat_1(U_2410,U_2411))
| ~ v1_relat_1(U_2410) ),
inference(definitional_conversion,[status(esa)],[f_776_2]) ).
cnf(f_776_4,plain,
( r1_tarski(k9_relat_1(k7_relat_1(U_2410,U_2412),U_2411),k9_relat_1(U_2410,U_2411))
| ~ v1_relat_1(U_2410) ),
inference(clausify,[status(thm)],[f_776_3]) ).
fof(f_777_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t162_relat_1]) ).
fof(f_777_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_777_1]) ).
cnf(f_777_3,plain,
$true,
inference(clausify,[status(thm)],[f_777_2]) ).
fof(f_778_1,plain,
! [A,B] :
( r1_tarski(k3_xboole_0(k1_relat_1(B),A),k9_relat_1(k4_relat_1(B),k9_relat_1(B,A)))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t163_relat_1]) ).
fof(f_778_2,plain,
! [U_2414,U_2413] :
( r1_tarski(k3_xboole_0(k1_relat_1(U_2413),U_2414),k9_relat_1(k4_relat_1(U_2413),k9_relat_1(U_2413,U_2414)))
| ~ v1_relat_1(U_2413) ),
inference(variable_rename,[status(thm)],[f_778_1]) ).
fof(f_778_3,plain,
! [U_2413,U_2414] :
( r1_tarski(k3_xboole_0(k1_relat_1(U_2413),U_2414),k9_relat_1(k4_relat_1(U_2413),k9_relat_1(U_2413,U_2414)))
| ~ v1_relat_1(U_2413) ),
inference(definitional_conversion,[status(esa)],[f_778_2]) ).
cnf(f_778_4,plain,
( r1_tarski(k3_xboole_0(k1_relat_1(U_2413),U_2414),k9_relat_1(k4_relat_1(U_2413),k9_relat_1(U_2413,U_2414)))
| ~ v1_relat_1(U_2413) ),
inference(clausify,[status(thm)],[f_778_3]) ).
fof(f_779_1,plain,
! [A] :
( ! [B,C] :
( ( C = k10_relat_1(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ? [E] :
( r2_hidden(E,B)
& r2_hidden(k4_tarski(D,E),A) ) )
| ( ! [E] :
( ~ r2_hidden(E,B)
| ~ r2_hidden(k4_tarski(D,E),A) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ! [E] :
( ~ r2_hidden(E,B)
| ~ r2_hidden(k4_tarski(D,E),A) ) )
& ( ? [E] :
( r2_hidden(E,B)
& r2_hidden(k4_tarski(D,E),A) )
| ~ r2_hidden(D,C) ) )
| C != k10_relat_1(A,B) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d14_relat_1]) ).
fof(f_779_2,plain,
! [U_2423] :
( ! [U_2422,U_2421] :
( ( U_2421 = k10_relat_1(U_2423,U_2422)
| ? [U_2420] :
( ( ~ r2_hidden(U_2420,U_2421)
& ? [U_2419] :
( r2_hidden(U_2419,U_2422)
& r2_hidden(k4_tarski(U_2420,U_2419),U_2423) ) )
| ( ! [U_2418] :
( ~ r2_hidden(U_2418,U_2422)
| ~ r2_hidden(k4_tarski(U_2420,U_2418),U_2423) )
& r2_hidden(U_2420,U_2421) ) ) )
& ( ! [U_2417] :
( ( r2_hidden(U_2417,U_2421)
| ! [U_2416] :
( ~ r2_hidden(U_2416,U_2422)
| ~ r2_hidden(k4_tarski(U_2417,U_2416),U_2423) ) )
& ( ? [U_2415] :
( r2_hidden(U_2415,U_2422)
& r2_hidden(k4_tarski(U_2417,U_2415),U_2423) )
| ~ r2_hidden(U_2417,U_2421) ) )
| U_2421 != k10_relat_1(U_2423,U_2422) ) )
| ~ v1_relat_1(U_2423) ),
inference(variable_rename,[status(thm)],[f_779_1]) ).
fof(f_779_3,plain,
! [U_2423] :
( ( ! [U_2431,U_2429] :
( U_2429 = k10_relat_1(U_2423,U_2431)
| ? [U_2427] :
( ~ r2_hidden(U_2427,U_2429)
& ? [U_2419] :
( r2_hidden(U_2419,U_2431)
& r2_hidden(k4_tarski(U_2427,U_2419),U_2423) ) )
| ? [U_2426] :
( ! [U_2418] :
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(U_2426,U_2418),U_2423) )
& r2_hidden(U_2426,U_2429) ) )
& ! [U_2430,U_2428] :
( ( ! [U_2425] :
( r2_hidden(U_2425,U_2428)
| ! [U_2416] :
( ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423) ) )
& ! [U_2424] :
( ? [U_2415] :
( r2_hidden(U_2415,U_2430)
& r2_hidden(k4_tarski(U_2424,U_2415),U_2423) )
| ~ r2_hidden(U_2424,U_2428) ) )
| U_2428 != k10_relat_1(U_2423,U_2430) ) )
| ~ v1_relat_1(U_2423) ),
inference(miniscope,[status(thm)],[f_779_2]) ).
fof(f_779_4,plain,
! [U_2423] :
( ( ! [U_2431,U_2429] :
( U_2429 = k10_relat_1(U_2423,U_2431)
| ? [U_2427] :
( ~ r2_hidden(U_2427,U_2429)
& ? [U_2419] :
( r2_hidden(U_2419,U_2431)
& r2_hidden(k4_tarski(U_2427,U_2419),U_2423) ) )
| ? [U_2426] :
( ! [U_2418] :
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(U_2426,U_2418),U_2423) )
& r2_hidden(U_2426,U_2429) ) )
& ! [U_2430,U_2428] :
( ( ! [U_2425] :
( r2_hidden(U_2425,U_2428)
| ! [U_2416] :
( ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423) ) )
& ! [U_2424] :
( ( r2_hidden(sK178(U_2423,U_2430,U_2428,U_2424),U_2430)
& r2_hidden(k4_tarski(U_2424,sK178(U_2423,U_2430,U_2428,U_2424)),U_2423) )
| ~ r2_hidden(U_2424,U_2428) ) )
| U_2428 != k10_relat_1(U_2423,U_2430) ) )
| ~ v1_relat_1(U_2423) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK178]),skolemize(U_2415,sK178(U_2423,U_2430,U_2428,U_2424))],[f_779_3]) ).
fof(f_779_5,plain,
! [U_2423] :
( ( ! [U_2431,U_2429] :
( U_2429 = k10_relat_1(U_2423,U_2431)
| ? [U_2427] :
( ~ r2_hidden(U_2427,U_2429)
& ? [U_2419] :
( r2_hidden(U_2419,U_2431)
& r2_hidden(k4_tarski(U_2427,U_2419),U_2423) ) )
| ( ! [U_2418] :
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(sK179(U_2423,U_2431,U_2429),U_2418),U_2423) )
& r2_hidden(sK179(U_2423,U_2431,U_2429),U_2429) ) )
& ! [U_2430,U_2428] :
( ( ! [U_2425] :
( r2_hidden(U_2425,U_2428)
| ! [U_2416] :
( ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423) ) )
& ! [U_2424] :
( ( r2_hidden(sK178(U_2423,U_2430,U_2428,U_2424),U_2430)
& r2_hidden(k4_tarski(U_2424,sK178(U_2423,U_2430,U_2428,U_2424)),U_2423) )
| ~ r2_hidden(U_2424,U_2428) ) )
| U_2428 != k10_relat_1(U_2423,U_2430) ) )
| ~ v1_relat_1(U_2423) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK179]),skolemize(U_2426,sK179(U_2423,U_2431,U_2429))],[f_779_4]) ).
fof(f_779_6,plain,
! [U_2423] :
( ( ! [U_2431,U_2429] :
( U_2429 = k10_relat_1(U_2423,U_2431)
| ( ~ r2_hidden(sK180(U_2423,U_2431,U_2429),U_2429)
& ? [U_2419] :
( r2_hidden(U_2419,U_2431)
& r2_hidden(k4_tarski(sK180(U_2423,U_2431,U_2429),U_2419),U_2423) ) )
| ( ! [U_2418] :
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(sK179(U_2423,U_2431,U_2429),U_2418),U_2423) )
& r2_hidden(sK179(U_2423,U_2431,U_2429),U_2429) ) )
& ! [U_2430,U_2428] :
( ( ! [U_2425] :
( r2_hidden(U_2425,U_2428)
| ! [U_2416] :
( ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423) ) )
& ! [U_2424] :
( ( r2_hidden(sK178(U_2423,U_2430,U_2428,U_2424),U_2430)
& r2_hidden(k4_tarski(U_2424,sK178(U_2423,U_2430,U_2428,U_2424)),U_2423) )
| ~ r2_hidden(U_2424,U_2428) ) )
| U_2428 != k10_relat_1(U_2423,U_2430) ) )
| ~ v1_relat_1(U_2423) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK180]),skolemize(U_2427,sK180(U_2423,U_2431,U_2429))],[f_779_5]) ).
fof(f_779_7,plain,
! [U_2423] :
( ( ! [U_2431,U_2429] :
( U_2429 = k10_relat_1(U_2423,U_2431)
| ( ~ r2_hidden(sK180(U_2423,U_2431,U_2429),U_2429)
& r2_hidden(sK181(U_2423,U_2431,U_2429),U_2431)
& r2_hidden(k4_tarski(sK180(U_2423,U_2431,U_2429),sK181(U_2423,U_2431,U_2429)),U_2423) )
| ( ! [U_2418] :
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(sK179(U_2423,U_2431,U_2429),U_2418),U_2423) )
& r2_hidden(sK179(U_2423,U_2431,U_2429),U_2429) ) )
& ! [U_2430,U_2428] :
( ( ! [U_2425] :
( r2_hidden(U_2425,U_2428)
| ! [U_2416] :
( ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423) ) )
& ! [U_2424] :
( ( r2_hidden(sK178(U_2423,U_2430,U_2428,U_2424),U_2430)
& r2_hidden(k4_tarski(U_2424,sK178(U_2423,U_2430,U_2428,U_2424)),U_2423) )
| ~ r2_hidden(U_2424,U_2428) ) )
| U_2428 != k10_relat_1(U_2423,U_2430) ) )
| ~ v1_relat_1(U_2423) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK181]),skolemize(U_2419,sK181(U_2423,U_2431,U_2429))],[f_779_6]) ).
fof(f_779_8,plain,
( ! [U_2431,U_2429,U_2423] :
( ~ r2_hidden(sK180(U_2423,U_2431,U_2429),U_2429)
| ~ sP275(U_2431,U_2429,U_2423) )
& ! [U_2431,U_2429,U_2423] :
( r2_hidden(sK181(U_2423,U_2431,U_2429),U_2431)
| ~ sP275(U_2431,U_2429,U_2423) )
& ! [U_2431,U_2429,U_2423] :
( r2_hidden(k4_tarski(sK180(U_2423,U_2431,U_2429),sK181(U_2423,U_2431,U_2429)),U_2423)
| ~ sP275(U_2431,U_2429,U_2423) )
& ! [U_2431,U_2429,U_2418,U_2423] :
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(sK179(U_2423,U_2431,U_2429),U_2418),U_2423)
| ~ sP274(U_2431,U_2429,U_2418,U_2423) )
& ! [U_2431,U_2429,U_2418,U_2423] :
( r2_hidden(sK179(U_2423,U_2431,U_2429),U_2429)
| ~ sP274(U_2431,U_2429,U_2418,U_2423) )
& ! [U_2424,U_2430,U_2428,U_2423] :
( r2_hidden(sK178(U_2423,U_2430,U_2428,U_2424),U_2430)
| ~ sP272(U_2424,U_2430,U_2428,U_2423) )
& ! [U_2424,U_2430,U_2428,U_2423] :
( r2_hidden(k4_tarski(U_2424,sK178(U_2423,U_2430,U_2428,U_2424)),U_2423)
| ~ sP272(U_2424,U_2430,U_2428,U_2423) )
& ! [U_2424,U_2425,U_2430,U_2428,U_2423,U_2416] :
( r2_hidden(U_2425,U_2428)
| ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423)
| ~ sP273(U_2424,U_2425,U_2430,U_2428,U_2423,U_2416) )
& ! [U_2424,U_2425,U_2430,U_2428,U_2423,U_2416] :
( sP272(U_2424,U_2430,U_2428,U_2423)
| ~ r2_hidden(U_2424,U_2428)
| ~ sP273(U_2424,U_2425,U_2430,U_2428,U_2423,U_2416) )
& ! [U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416] :
( U_2429 = k10_relat_1(U_2423,U_2431)
| sP275(U_2431,U_2429,U_2423)
| sP274(U_2431,U_2429,U_2418,U_2423)
| ~ sP276(U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416) )
& ! [U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416] :
( sP273(U_2424,U_2425,U_2430,U_2428,U_2423,U_2416)
| U_2428 != k10_relat_1(U_2423,U_2430)
| ~ sP276(U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416) )
& ! [U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416] :
( sP276(U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416)
| ~ v1_relat_1(U_2423) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP272,sP273,sP274,sP275,sP276])],[f_779_7]) ).
cnf(f_779_9,plain,
( sP276(U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416)
| ~ v1_relat_1(U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_10,plain,
( sP273(U_2424,U_2425,U_2430,U_2428,U_2423,U_2416)
| U_2428 != k10_relat_1(U_2423,U_2430)
| ~ sP276(U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_11,plain,
( U_2429 = k10_relat_1(U_2423,U_2431)
| sP275(U_2431,U_2429,U_2423)
| sP274(U_2431,U_2429,U_2418,U_2423)
| ~ sP276(U_2424,U_2425,U_2430,U_2431,U_2428,U_2429,U_2418,U_2423,U_2416) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_12,plain,
( sP272(U_2424,U_2430,U_2428,U_2423)
| ~ r2_hidden(U_2424,U_2428)
| ~ sP273(U_2424,U_2425,U_2430,U_2428,U_2423,U_2416) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_13,plain,
( r2_hidden(U_2425,U_2428)
| ~ r2_hidden(U_2416,U_2430)
| ~ r2_hidden(k4_tarski(U_2425,U_2416),U_2423)
| ~ sP273(U_2424,U_2425,U_2430,U_2428,U_2423,U_2416) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_14,plain,
( r2_hidden(k4_tarski(U_2424,sK178(U_2423,U_2430,U_2428,U_2424)),U_2423)
| ~ sP272(U_2424,U_2430,U_2428,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_15,plain,
( r2_hidden(sK178(U_2423,U_2430,U_2428,U_2424),U_2430)
| ~ sP272(U_2424,U_2430,U_2428,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_16,plain,
( r2_hidden(sK179(U_2423,U_2431,U_2429),U_2429)
| ~ sP274(U_2431,U_2429,U_2418,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_17,plain,
( ~ r2_hidden(U_2418,U_2431)
| ~ r2_hidden(k4_tarski(sK179(U_2423,U_2431,U_2429),U_2418),U_2423)
| ~ sP274(U_2431,U_2429,U_2418,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_18,plain,
( r2_hidden(k4_tarski(sK180(U_2423,U_2431,U_2429),sK181(U_2423,U_2431,U_2429)),U_2423)
| ~ sP275(U_2431,U_2429,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_19,plain,
( r2_hidden(sK181(U_2423,U_2431,U_2429),U_2431)
| ~ sP275(U_2431,U_2429,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
cnf(f_779_20,plain,
( ~ r2_hidden(sK180(U_2423,U_2431,U_2429),U_2429)
| ~ sP275(U_2431,U_2429,U_2423) ),
inference(clausify,[status(thm)],[f_779_8]) ).
fof(f_780_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t164_relat_1]) ).
fof(f_780_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_780_1]) ).
cnf(f_780_3,plain,
$true,
inference(clausify,[status(thm)],[f_780_2]) ).
fof(f_781_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t165_relat_1]) ).
fof(f_781_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_781_1]) ).
cnf(f_781_3,plain,
$true,
inference(clausify,[status(thm)],[f_781_2]) ).
fof(f_782_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,k10_relat_1(C,B))
| ! [D] :
( ~ r2_hidden(D,B)
| ~ r2_hidden(k4_tarski(A,D),C)
| ~ r2_hidden(D,k2_relat_1(C)) ) )
& ( ? [D] :
( r2_hidden(D,B)
& r2_hidden(k4_tarski(A,D),C)
& r2_hidden(D,k2_relat_1(C)) )
| ~ r2_hidden(A,k10_relat_1(C,B)) ) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t166_relat_1]) ).
fof(f_782_2,plain,
! [U_2436,U_2435,U_2434] :
( ( ( r2_hidden(U_2436,k10_relat_1(U_2434,U_2435))
| ! [U_2433] :
( ~ r2_hidden(U_2433,U_2435)
| ~ r2_hidden(k4_tarski(U_2436,U_2433),U_2434)
| ~ r2_hidden(U_2433,k2_relat_1(U_2434)) ) )
& ( ? [U_2432] :
( r2_hidden(U_2432,U_2435)
& r2_hidden(k4_tarski(U_2436,U_2432),U_2434)
& r2_hidden(U_2432,k2_relat_1(U_2434)) )
| ~ r2_hidden(U_2436,k10_relat_1(U_2434,U_2435)) ) )
| ~ v1_relat_1(U_2434) ),
inference(variable_rename,[status(thm)],[f_782_1]) ).
fof(f_782_3,plain,
! [U_2436,U_2435,U_2434] :
( ( ( r2_hidden(U_2436,k10_relat_1(U_2434,U_2435))
| ! [U_2433] :
( ~ r2_hidden(U_2433,U_2435)
| ~ r2_hidden(k4_tarski(U_2436,U_2433),U_2434)
| ~ r2_hidden(U_2433,k2_relat_1(U_2434)) ) )
& ( ( r2_hidden(sK182(U_2436,U_2435,U_2434),U_2435)
& r2_hidden(k4_tarski(U_2436,sK182(U_2436,U_2435,U_2434)),U_2434)
& r2_hidden(sK182(U_2436,U_2435,U_2434),k2_relat_1(U_2434)) )
| ~ r2_hidden(U_2436,k10_relat_1(U_2434,U_2435)) ) )
| ~ v1_relat_1(U_2434) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK182]),skolemize(U_2432,sK182(U_2436,U_2435,U_2434))],[f_782_2]) ).
fof(f_782_4,plain,
( ! [U_2434,U_2436,U_2435] :
( r2_hidden(sK182(U_2436,U_2435,U_2434),U_2435)
| ~ sP277(U_2434,U_2436,U_2435) )
& ! [U_2434,U_2436,U_2435] :
( r2_hidden(k4_tarski(U_2436,sK182(U_2436,U_2435,U_2434)),U_2434)
| ~ sP277(U_2434,U_2436,U_2435) )
& ! [U_2434,U_2436,U_2435] :
( r2_hidden(sK182(U_2436,U_2435,U_2434),k2_relat_1(U_2434))
| ~ sP277(U_2434,U_2436,U_2435) )
& ! [U_2433,U_2434,U_2436,U_2435] :
( r2_hidden(U_2436,k10_relat_1(U_2434,U_2435))
| ~ r2_hidden(U_2433,U_2435)
| ~ r2_hidden(k4_tarski(U_2436,U_2433),U_2434)
| ~ r2_hidden(U_2433,k2_relat_1(U_2434))
| ~ sP278(U_2433,U_2434,U_2436,U_2435) )
& ! [U_2433,U_2434,U_2436,U_2435] :
( sP277(U_2434,U_2436,U_2435)
| ~ r2_hidden(U_2436,k10_relat_1(U_2434,U_2435))
| ~ sP278(U_2433,U_2434,U_2436,U_2435) )
& ! [U_2433,U_2434,U_2436,U_2435] :
( sP278(U_2433,U_2434,U_2436,U_2435)
| ~ v1_relat_1(U_2434) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP277,sP278])],[f_782_3]) ).
cnf(f_782_5,plain,
( sP278(U_2433,U_2434,U_2436,U_2435)
| ~ v1_relat_1(U_2434) ),
inference(clausify,[status(thm)],[f_782_4]) ).
cnf(f_782_6,plain,
( sP277(U_2434,U_2436,U_2435)
| ~ r2_hidden(U_2436,k10_relat_1(U_2434,U_2435))
| ~ sP278(U_2433,U_2434,U_2436,U_2435) ),
inference(clausify,[status(thm)],[f_782_4]) ).
cnf(f_782_7,plain,
( r2_hidden(U_2436,k10_relat_1(U_2434,U_2435))
| ~ r2_hidden(U_2433,U_2435)
| ~ r2_hidden(k4_tarski(U_2436,U_2433),U_2434)
| ~ r2_hidden(U_2433,k2_relat_1(U_2434))
| ~ sP278(U_2433,U_2434,U_2436,U_2435) ),
inference(clausify,[status(thm)],[f_782_4]) ).
cnf(f_782_8,plain,
( r2_hidden(sK182(U_2436,U_2435,U_2434),k2_relat_1(U_2434))
| ~ sP277(U_2434,U_2436,U_2435) ),
inference(clausify,[status(thm)],[f_782_4]) ).
cnf(f_782_9,plain,
( r2_hidden(k4_tarski(U_2436,sK182(U_2436,U_2435,U_2434)),U_2434)
| ~ sP277(U_2434,U_2436,U_2435) ),
inference(clausify,[status(thm)],[f_782_4]) ).
cnf(f_782_10,plain,
( r2_hidden(sK182(U_2436,U_2435,U_2434),U_2435)
| ~ sP277(U_2434,U_2436,U_2435) ),
inference(clausify,[status(thm)],[f_782_4]) ).
fof(f_783_1,plain,
! [A,B] :
( r1_tarski(k10_relat_1(B,A),k1_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t167_relat_1]) ).
fof(f_783_2,plain,
! [U_2438,U_2437] :
( r1_tarski(k10_relat_1(U_2437,U_2438),k1_relat_1(U_2437))
| ~ v1_relat_1(U_2437) ),
inference(variable_rename,[status(thm)],[f_783_1]) ).
fof(f_783_3,plain,
! [U_2437,U_2438] :
( r1_tarski(k10_relat_1(U_2437,U_2438),k1_relat_1(U_2437))
| ~ v1_relat_1(U_2437) ),
inference(definitional_conversion,[status(esa)],[f_783_2]) ).
cnf(f_783_4,plain,
( r1_tarski(k10_relat_1(U_2437,U_2438),k1_relat_1(U_2437))
| ~ v1_relat_1(U_2437) ),
inference(clausify,[status(thm)],[f_783_3]) ).
fof(f_784_1,plain,
! [A,B] :
( k10_relat_1(B,A) = k10_relat_1(B,k3_xboole_0(k2_relat_1(B),A))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t168_relat_1]) ).
fof(f_784_2,plain,
! [U_2440,U_2439] :
( k10_relat_1(U_2439,U_2440) = k10_relat_1(U_2439,k3_xboole_0(k2_relat_1(U_2439),U_2440))
| ~ v1_relat_1(U_2439) ),
inference(variable_rename,[status(thm)],[f_784_1]) ).
fof(f_784_3,plain,
! [U_2439,U_2440] :
( k10_relat_1(U_2439,U_2440) = k10_relat_1(U_2439,k3_xboole_0(k2_relat_1(U_2439),U_2440))
| ~ v1_relat_1(U_2439) ),
inference(definitional_conversion,[status(esa)],[f_784_2]) ).
cnf(f_784_4,plain,
( k10_relat_1(U_2439,U_2440) = k10_relat_1(U_2439,k3_xboole_0(k2_relat_1(U_2439),U_2440))
| ~ v1_relat_1(U_2439) ),
inference(clausify,[status(thm)],[f_784_3]) ).
fof(f_785_1,plain,
! [A] :
( k10_relat_1(A,k2_relat_1(A)) = k1_relat_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t169_relat_1]) ).
fof(f_785_2,plain,
! [U_2441] :
( k10_relat_1(U_2441,k2_relat_1(U_2441)) = k1_relat_1(U_2441)
| ~ v1_relat_1(U_2441) ),
inference(variable_rename,[status(thm)],[f_785_1]) ).
fof(f_785_3,plain,
! [U_2441] :
( k10_relat_1(U_2441,k2_relat_1(U_2441)) = k1_relat_1(U_2441)
| ~ v1_relat_1(U_2441) ),
inference(definitional_conversion,[status(esa)],[f_785_2]) ).
cnf(f_785_4,plain,
( k10_relat_1(U_2441,k2_relat_1(U_2441)) = k1_relat_1(U_2441)
| ~ v1_relat_1(U_2441) ),
inference(clausify,[status(thm)],[f_785_3]) ).
fof(f_786_1,plain,
! [A,B] :
( r1_tarski(k10_relat_1(B,A),k10_relat_1(B,k2_relat_1(B)))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t170_relat_1]) ).
fof(f_786_2,plain,
! [U_2443,U_2442] :
( r1_tarski(k10_relat_1(U_2442,U_2443),k10_relat_1(U_2442,k2_relat_1(U_2442)))
| ~ v1_relat_1(U_2442) ),
inference(variable_rename,[status(thm)],[f_786_1]) ).
fof(f_786_3,plain,
! [U_2442,U_2443] :
( r1_tarski(k10_relat_1(U_2442,U_2443),k10_relat_1(U_2442,k2_relat_1(U_2442)))
| ~ v1_relat_1(U_2442) ),
inference(definitional_conversion,[status(esa)],[f_786_2]) ).
cnf(f_786_4,plain,
( r1_tarski(k10_relat_1(U_2442,U_2443),k10_relat_1(U_2442,k2_relat_1(U_2442)))
| ~ v1_relat_1(U_2442) ),
inference(clausify,[status(thm)],[f_786_3]) ).
fof(f_787_1,plain,
! [A] :
( k10_relat_1(A,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t171_relat_1]) ).
fof(f_787_2,plain,
! [U_2444] :
( k10_relat_1(U_2444,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2444) ),
inference(variable_rename,[status(thm)],[f_787_1]) ).
fof(f_787_3,plain,
! [U_2444] :
( k10_relat_1(U_2444,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2444) ),
inference(definitional_conversion,[status(esa)],[f_787_2]) ).
cnf(f_787_4,plain,
( k10_relat_1(U_2444,k1_xboole_0) = k1_xboole_0
| ~ v1_relat_1(U_2444) ),
inference(clausify,[status(thm)],[f_787_3]) ).
fof(f_788_1,plain,
! [A] : k10_relat_1(k1_xboole_0,A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t172_relat_1]) ).
fof(f_788_2,plain,
! [U_2445] : k10_relat_1(k1_xboole_0,U_2445) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_788_1]) ).
fof(f_788_3,plain,
! [U_2445] : k10_relat_1(k1_xboole_0,U_2445) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_788_2]) ).
cnf(f_788_4,plain,
k10_relat_1(k1_xboole_0,U_2445) = k1_xboole_0,
inference(clausify,[status(thm)],[f_788_3]) ).
fof(f_789_1,plain,
! [A,B] :
( ( ( k10_relat_1(B,A) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(B),A) )
& ( r1_xboole_0(k2_relat_1(B),A)
| k10_relat_1(B,A) != k1_xboole_0 ) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t173_relat_1]) ).
fof(f_789_2,plain,
! [U_2447,U_2446] :
( ( ( k10_relat_1(U_2446,U_2447) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(U_2446),U_2447) )
& ( r1_xboole_0(k2_relat_1(U_2446),U_2447)
| k10_relat_1(U_2446,U_2447) != k1_xboole_0 ) )
| ~ v1_relat_1(U_2446) ),
inference(variable_rename,[status(thm)],[f_789_1]) ).
fof(f_789_3,plain,
( ! [U_2447,U_2446] :
( k10_relat_1(U_2446,U_2447) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(U_2446),U_2447)
| ~ sP279(U_2447,U_2446) )
& ! [U_2447,U_2446] :
( r1_xboole_0(k2_relat_1(U_2446),U_2447)
| k10_relat_1(U_2446,U_2447) != k1_xboole_0
| ~ sP279(U_2447,U_2446) )
& ! [U_2447,U_2446] :
( sP279(U_2447,U_2446)
| ~ v1_relat_1(U_2446) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP279])],[f_789_2]) ).
cnf(f_789_4,plain,
( sP279(U_2447,U_2446)
| ~ v1_relat_1(U_2446) ),
inference(clausify,[status(thm)],[f_789_3]) ).
cnf(f_789_5,plain,
( r1_xboole_0(k2_relat_1(U_2446),U_2447)
| k10_relat_1(U_2446,U_2447) != k1_xboole_0
| ~ sP279(U_2447,U_2446) ),
inference(clausify,[status(thm)],[f_789_3]) ).
cnf(f_789_6,plain,
( k10_relat_1(U_2446,U_2447) = k1_xboole_0
| ~ r1_xboole_0(k2_relat_1(U_2446),U_2447)
| ~ sP279(U_2447,U_2446) ),
inference(clausify,[status(thm)],[f_789_3]) ).
fof(f_790_1,plain,
! [A,B] :
( k10_relat_1(B,A) != k1_xboole_0
| ~ r1_tarski(A,k2_relat_1(B))
| A = k1_xboole_0
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t174_relat_1]) ).
fof(f_790_2,plain,
! [U_2449,U_2448] :
( k10_relat_1(U_2448,U_2449) != k1_xboole_0
| ~ r1_tarski(U_2449,k2_relat_1(U_2448))
| U_2449 = k1_xboole_0
| ~ v1_relat_1(U_2448) ),
inference(variable_rename,[status(thm)],[f_790_1]) ).
fof(f_790_3,plain,
! [U_2449,U_2448] :
( k10_relat_1(U_2448,U_2449) != k1_xboole_0
| ~ r1_tarski(U_2449,k2_relat_1(U_2448))
| U_2449 = k1_xboole_0
| ~ v1_relat_1(U_2448) ),
inference(definitional_conversion,[status(esa)],[f_790_2]) ).
cnf(f_790_4,plain,
( k10_relat_1(U_2448,U_2449) != k1_xboole_0
| ~ r1_tarski(U_2449,k2_relat_1(U_2448))
| U_2449 = k1_xboole_0
| ~ v1_relat_1(U_2448) ),
inference(clausify,[status(thm)],[f_790_3]) ).
fof(f_791_1,plain,
! [A,B,C] :
( k10_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t175_relat_1]) ).
fof(f_791_2,plain,
! [U_2452,U_2451,U_2450] :
( k10_relat_1(U_2450,k2_xboole_0(U_2452,U_2451)) = k2_xboole_0(k10_relat_1(U_2450,U_2452),k10_relat_1(U_2450,U_2451))
| ~ v1_relat_1(U_2450) ),
inference(variable_rename,[status(thm)],[f_791_1]) ).
fof(f_791_3,plain,
! [U_2450,U_2452,U_2451] :
( k10_relat_1(U_2450,k2_xboole_0(U_2452,U_2451)) = k2_xboole_0(k10_relat_1(U_2450,U_2452),k10_relat_1(U_2450,U_2451))
| ~ v1_relat_1(U_2450) ),
inference(definitional_conversion,[status(esa)],[f_791_2]) ).
cnf(f_791_4,plain,
( k10_relat_1(U_2450,k2_xboole_0(U_2452,U_2451)) = k2_xboole_0(k10_relat_1(U_2450,U_2452),k10_relat_1(U_2450,U_2451))
| ~ v1_relat_1(U_2450) ),
inference(clausify,[status(thm)],[f_791_3]) ).
fof(f_792_1,plain,
! [A,B,C] :
( r1_tarski(k10_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t176_relat_1]) ).
fof(f_792_2,plain,
! [U_2455,U_2454,U_2453] :
( r1_tarski(k10_relat_1(U_2453,k3_xboole_0(U_2455,U_2454)),k3_xboole_0(k10_relat_1(U_2453,U_2455),k10_relat_1(U_2453,U_2454)))
| ~ v1_relat_1(U_2453) ),
inference(variable_rename,[status(thm)],[f_792_1]) ).
fof(f_792_3,plain,
! [U_2455,U_2453,U_2454] :
( r1_tarski(k10_relat_1(U_2453,k3_xboole_0(U_2455,U_2454)),k3_xboole_0(k10_relat_1(U_2453,U_2455),k10_relat_1(U_2453,U_2454)))
| ~ v1_relat_1(U_2453) ),
inference(definitional_conversion,[status(esa)],[f_792_2]) ).
cnf(f_792_4,plain,
( r1_tarski(k10_relat_1(U_2453,k3_xboole_0(U_2455,U_2454)),k3_xboole_0(k10_relat_1(U_2453,U_2455),k10_relat_1(U_2453,U_2454)))
| ~ v1_relat_1(U_2453) ),
inference(clausify,[status(thm)],[f_792_3]) ).
fof(f_793_1,plain,
! [A,B,C] :
( r1_tarski(k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)),k10_relat_1(C,k4_xboole_0(A,B)))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t177_relat_1]) ).
fof(f_793_2,plain,
! [U_2458,U_2457,U_2456] :
( r1_tarski(k4_xboole_0(k10_relat_1(U_2456,U_2458),k10_relat_1(U_2456,U_2457)),k10_relat_1(U_2456,k4_xboole_0(U_2458,U_2457)))
| ~ v1_relat_1(U_2456) ),
inference(variable_rename,[status(thm)],[f_793_1]) ).
fof(f_793_3,plain,
! [U_2457,U_2458,U_2456] :
( r1_tarski(k4_xboole_0(k10_relat_1(U_2456,U_2458),k10_relat_1(U_2456,U_2457)),k10_relat_1(U_2456,k4_xboole_0(U_2458,U_2457)))
| ~ v1_relat_1(U_2456) ),
inference(definitional_conversion,[status(esa)],[f_793_2]) ).
cnf(f_793_4,plain,
( r1_tarski(k4_xboole_0(k10_relat_1(U_2456,U_2458),k10_relat_1(U_2456,U_2457)),k10_relat_1(U_2456,k4_xboole_0(U_2458,U_2457)))
| ~ v1_relat_1(U_2456) ),
inference(clausify,[status(thm)],[f_793_3]) ).
fof(f_794_1,plain,
! [A,B,C] :
( r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B))
| ~ r1_tarski(A,B)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t178_relat_1]) ).
fof(f_794_2,plain,
! [U_2461,U_2460,U_2459] :
( r1_tarski(k10_relat_1(U_2459,U_2461),k10_relat_1(U_2459,U_2460))
| ~ r1_tarski(U_2461,U_2460)
| ~ v1_relat_1(U_2459) ),
inference(variable_rename,[status(thm)],[f_794_1]) ).
fof(f_794_3,plain,
! [U_2459,U_2460,U_2461] :
( r1_tarski(k10_relat_1(U_2459,U_2461),k10_relat_1(U_2459,U_2460))
| ~ r1_tarski(U_2461,U_2460)
| ~ v1_relat_1(U_2459) ),
inference(definitional_conversion,[status(esa)],[f_794_2]) ).
cnf(f_794_4,plain,
( r1_tarski(k10_relat_1(U_2459,U_2461),k10_relat_1(U_2459,U_2460))
| ~ r1_tarski(U_2461,U_2460)
| ~ v1_relat_1(U_2459) ),
inference(clausify,[status(thm)],[f_794_3]) ).
fof(f_795_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k10_relat_1(B,A),k10_relat_1(C,A))
| ~ r1_tarski(B,C)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t179_relat_1]) ).
fof(f_795_2,plain,
! [U_2464,U_2463] :
( ! [U_2462] :
( r1_tarski(k10_relat_1(U_2463,U_2464),k10_relat_1(U_2462,U_2464))
| ~ r1_tarski(U_2463,U_2462)
| ~ v1_relat_1(U_2462) )
| ~ v1_relat_1(U_2463) ),
inference(variable_rename,[status(thm)],[f_795_1]) ).
fof(f_795_3,plain,
! [U_2462,U_2463,U_2464] :
( r1_tarski(k10_relat_1(U_2463,U_2464),k10_relat_1(U_2462,U_2464))
| ~ r1_tarski(U_2463,U_2462)
| ~ v1_relat_1(U_2462)
| ~ v1_relat_1(U_2463) ),
inference(definitional_conversion,[status(esa)],[f_795_2]) ).
cnf(f_795_4,plain,
( r1_tarski(k10_relat_1(U_2463,U_2464),k10_relat_1(U_2462,U_2464))
| ~ r1_tarski(U_2463,U_2462)
| ~ v1_relat_1(U_2462)
| ~ v1_relat_1(U_2463) ),
inference(clausify,[status(thm)],[f_795_3]) ).
fof(f_796_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(k10_relat_1(C,A),k10_relat_1(D,B))
| ~ r1_tarski(A,B)
| ~ r1_tarski(C,D)
| ~ v1_relat_1(D) )
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t180_relat_1]) ).
fof(f_796_2,plain,
! [U_2468,U_2467,U_2466] :
( ! [U_2465] :
( r1_tarski(k10_relat_1(U_2466,U_2468),k10_relat_1(U_2465,U_2467))
| ~ r1_tarski(U_2468,U_2467)
| ~ r1_tarski(U_2466,U_2465)
| ~ v1_relat_1(U_2465) )
| ~ v1_relat_1(U_2466) ),
inference(variable_rename,[status(thm)],[f_796_1]) ).
fof(f_796_3,plain,
! [U_2465,U_2466,U_2468,U_2467] :
( r1_tarski(k10_relat_1(U_2466,U_2468),k10_relat_1(U_2465,U_2467))
| ~ r1_tarski(U_2468,U_2467)
| ~ r1_tarski(U_2466,U_2465)
| ~ v1_relat_1(U_2465)
| ~ v1_relat_1(U_2466) ),
inference(definitional_conversion,[status(esa)],[f_796_2]) ).
cnf(f_796_4,plain,
( r1_tarski(k10_relat_1(U_2466,U_2468),k10_relat_1(U_2465,U_2467))
| ~ r1_tarski(U_2468,U_2467)
| ~ r1_tarski(U_2466,U_2465)
| ~ v1_relat_1(U_2465)
| ~ v1_relat_1(U_2466) ),
inference(clausify,[status(thm)],[f_796_3]) ).
fof(f_797_1,plain,
! [A,B] :
( ! [C] :
( k10_relat_1(k5_relat_1(B,C),A) = k10_relat_1(B,k10_relat_1(C,A))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t181_relat_1]) ).
fof(f_797_2,plain,
! [U_2471,U_2470] :
( ! [U_2469] :
( k10_relat_1(k5_relat_1(U_2470,U_2469),U_2471) = k10_relat_1(U_2470,k10_relat_1(U_2469,U_2471))
| ~ v1_relat_1(U_2469) )
| ~ v1_relat_1(U_2470) ),
inference(variable_rename,[status(thm)],[f_797_1]) ).
fof(f_797_3,plain,
! [U_2471,U_2469,U_2470] :
( k10_relat_1(k5_relat_1(U_2470,U_2469),U_2471) = k10_relat_1(U_2470,k10_relat_1(U_2469,U_2471))
| ~ v1_relat_1(U_2469)
| ~ v1_relat_1(U_2470) ),
inference(definitional_conversion,[status(esa)],[f_797_2]) ).
cnf(f_797_4,plain,
( k10_relat_1(k5_relat_1(U_2470,U_2469),U_2471) = k10_relat_1(U_2470,k10_relat_1(U_2469,U_2471))
| ~ v1_relat_1(U_2469)
| ~ v1_relat_1(U_2470) ),
inference(clausify,[status(thm)],[f_797_3]) ).
fof(f_798_1,plain,
! [A] :
( ! [B] :
( k1_relat_1(k5_relat_1(A,B)) = k10_relat_1(A,k1_relat_1(B))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t182_relat_1]) ).
fof(f_798_2,plain,
! [U_2473] :
( ! [U_2472] :
( k1_relat_1(k5_relat_1(U_2473,U_2472)) = k10_relat_1(U_2473,k1_relat_1(U_2472))
| ~ v1_relat_1(U_2472) )
| ~ v1_relat_1(U_2473) ),
inference(variable_rename,[status(thm)],[f_798_1]) ).
fof(f_798_3,plain,
! [U_2472,U_2473] :
( k1_relat_1(k5_relat_1(U_2473,U_2472)) = k10_relat_1(U_2473,k1_relat_1(U_2472))
| ~ v1_relat_1(U_2472)
| ~ v1_relat_1(U_2473) ),
inference(definitional_conversion,[status(esa)],[f_798_2]) ).
cnf(f_798_4,plain,
( k1_relat_1(k5_relat_1(U_2473,U_2472)) = k10_relat_1(U_2473,k1_relat_1(U_2472))
| ~ v1_relat_1(U_2472)
| ~ v1_relat_1(U_2473) ),
inference(clausify,[status(thm)],[f_798_3]) ).
fof(f_799_1,plain,
! [A,B] :
( r1_tarski(k3_xboole_0(k2_relat_1(B),A),k10_relat_1(k4_relat_1(B),k10_relat_1(B,A)))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t183_relat_1]) ).
fof(f_799_2,plain,
! [U_2475,U_2474] :
( r1_tarski(k3_xboole_0(k2_relat_1(U_2474),U_2475),k10_relat_1(k4_relat_1(U_2474),k10_relat_1(U_2474,U_2475)))
| ~ v1_relat_1(U_2474) ),
inference(variable_rename,[status(thm)],[f_799_1]) ).
fof(f_799_3,plain,
! [U_2475,U_2474] :
( r1_tarski(k3_xboole_0(k2_relat_1(U_2474),U_2475),k10_relat_1(k4_relat_1(U_2474),k10_relat_1(U_2474,U_2475)))
| ~ v1_relat_1(U_2474) ),
inference(definitional_conversion,[status(esa)],[f_799_2]) ).
cnf(f_799_4,plain,
( r1_tarski(k3_xboole_0(k2_relat_1(U_2474),U_2475),k10_relat_1(k4_relat_1(U_2474),k10_relat_1(U_2474,U_2475)))
| ~ v1_relat_1(U_2474) ),
inference(clausify,[status(thm)],[f_799_3]) ).
fof(f_800_1,plain,
! [A] :
( ( ( v3_relat_1(A)
| ~ r1_tarski(k2_relat_1(A),k1_tarski(k1_xboole_0)) )
& ( r1_tarski(k2_relat_1(A),k1_tarski(k1_xboole_0))
| ~ v3_relat_1(A) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d15_relat_1]) ).
fof(f_800_2,plain,
! [U_2476] :
( ( ( v3_relat_1(U_2476)
| ~ r1_tarski(k2_relat_1(U_2476),k1_tarski(k1_xboole_0)) )
& ( r1_tarski(k2_relat_1(U_2476),k1_tarski(k1_xboole_0))
| ~ v3_relat_1(U_2476) ) )
| ~ v1_relat_1(U_2476) ),
inference(variable_rename,[status(thm)],[f_800_1]) ).
fof(f_800_3,plain,
( ! [U_2476] :
( v3_relat_1(U_2476)
| ~ r1_tarski(k2_relat_1(U_2476),k1_tarski(k1_xboole_0))
| ~ sP280(U_2476) )
& ! [U_2476] :
( r1_tarski(k2_relat_1(U_2476),k1_tarski(k1_xboole_0))
| ~ v3_relat_1(U_2476)
| ~ sP280(U_2476) )
& ! [U_2476] :
( sP280(U_2476)
| ~ v1_relat_1(U_2476) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP280])],[f_800_2]) ).
cnf(f_800_4,plain,
( sP280(U_2476)
| ~ v1_relat_1(U_2476) ),
inference(clausify,[status(thm)],[f_800_3]) ).
cnf(f_800_5,plain,
( r1_tarski(k2_relat_1(U_2476),k1_tarski(k1_xboole_0))
| ~ v3_relat_1(U_2476)
| ~ sP280(U_2476) ),
inference(clausify,[status(thm)],[f_800_3]) ).
cnf(f_800_6,plain,
( v3_relat_1(U_2476)
| ~ r1_tarski(k2_relat_1(U_2476),k1_tarski(k1_xboole_0))
| ~ sP280(U_2476) ),
inference(clausify,[status(thm)],[f_800_3]) ).
fof(f_801_1,plain,
! [A] :
( ( ( v3_relat_1(A)
| ? [B] :
( B != k1_xboole_0
& r2_hidden(B,k2_relat_1(A)) ) )
& ( ! [B] :
( B = k1_xboole_0
| ~ r2_hidden(B,k2_relat_1(A)) )
| ~ v3_relat_1(A) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t184_relat_1]) ).
fof(f_801_2,plain,
! [U_2479] :
( ( ( v3_relat_1(U_2479)
| ? [U_2478] :
( U_2478 != k1_xboole_0
& r2_hidden(U_2478,k2_relat_1(U_2479)) ) )
& ( ! [U_2477] :
( U_2477 = k1_xboole_0
| ~ r2_hidden(U_2477,k2_relat_1(U_2479)) )
| ~ v3_relat_1(U_2479) ) )
| ~ v1_relat_1(U_2479) ),
inference(variable_rename,[status(thm)],[f_801_1]) ).
fof(f_801_3,plain,
! [U_2479] :
( ( ( v3_relat_1(U_2479)
| ( sK183(U_2479) != k1_xboole_0
& r2_hidden(sK183(U_2479),k2_relat_1(U_2479)) ) )
& ( ! [U_2477] :
( U_2477 = k1_xboole_0
| ~ r2_hidden(U_2477,k2_relat_1(U_2479)) )
| ~ v3_relat_1(U_2479) ) )
| ~ v1_relat_1(U_2479) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK183]),skolemize(U_2478,sK183(U_2479))],[f_801_2]) ).
fof(f_801_4,plain,
( ! [U_2479] :
( sK183(U_2479) != k1_xboole_0
| ~ sP281(U_2479) )
& ! [U_2479] :
( r2_hidden(sK183(U_2479),k2_relat_1(U_2479))
| ~ sP281(U_2479) )
& ! [U_2479,U_2477] :
( v3_relat_1(U_2479)
| sP281(U_2479)
| ~ sP282(U_2479,U_2477) )
& ! [U_2479,U_2477] :
( U_2477 = k1_xboole_0
| ~ r2_hidden(U_2477,k2_relat_1(U_2479))
| ~ v3_relat_1(U_2479)
| ~ sP282(U_2479,U_2477) )
& ! [U_2479,U_2477] :
( sP282(U_2479,U_2477)
| ~ v1_relat_1(U_2479) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP281,sP282])],[f_801_3]) ).
cnf(f_801_5,plain,
( sP282(U_2479,U_2477)
| ~ v1_relat_1(U_2479) ),
inference(clausify,[status(thm)],[f_801_4]) ).
cnf(f_801_6,plain,
( U_2477 = k1_xboole_0
| ~ r2_hidden(U_2477,k2_relat_1(U_2479))
| ~ v3_relat_1(U_2479)
| ~ sP282(U_2479,U_2477) ),
inference(clausify,[status(thm)],[f_801_4]) ).
cnf(f_801_7,plain,
( v3_relat_1(U_2479)
| sP281(U_2479)
| ~ sP282(U_2479,U_2477) ),
inference(clausify,[status(thm)],[f_801_4]) ).
cnf(f_801_8,plain,
( r2_hidden(sK183(U_2479),k2_relat_1(U_2479))
| ~ sP281(U_2479) ),
inference(clausify,[status(thm)],[f_801_4]) ).
cnf(f_801_9,plain,
( sK183(U_2479) != k1_xboole_0
| ~ sP281(U_2479) ),
inference(clausify,[status(thm)],[f_801_4]) ).
fof(f_802_1,plain,
! [A] :
( ! [B] :
( ! [C,D] :
( k7_relat_1(A,k2_xboole_0(C,D)) = k7_relat_1(B,k2_xboole_0(C,D))
| k7_relat_1(A,D) != k7_relat_1(B,D)
| k7_relat_1(A,C) != k7_relat_1(B,C) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t185_relat_1]) ).
fof(f_802_2,plain,
! [U_2483] :
( ! [U_2482] :
( ! [U_2481,U_2480] :
( k7_relat_1(U_2483,k2_xboole_0(U_2481,U_2480)) = k7_relat_1(U_2482,k2_xboole_0(U_2481,U_2480))
| k7_relat_1(U_2483,U_2480) != k7_relat_1(U_2482,U_2480)
| k7_relat_1(U_2483,U_2481) != k7_relat_1(U_2482,U_2481) )
| ~ v1_relat_1(U_2482) )
| ~ v1_relat_1(U_2483) ),
inference(variable_rename,[status(thm)],[f_802_1]) ).
fof(f_802_3,plain,
! [U_2483,U_2481,U_2480,U_2482] :
( k7_relat_1(U_2483,k2_xboole_0(U_2481,U_2480)) = k7_relat_1(U_2482,k2_xboole_0(U_2481,U_2480))
| k7_relat_1(U_2483,U_2480) != k7_relat_1(U_2482,U_2480)
| k7_relat_1(U_2483,U_2481) != k7_relat_1(U_2482,U_2481)
| ~ v1_relat_1(U_2482)
| ~ v1_relat_1(U_2483) ),
inference(definitional_conversion,[status(esa)],[f_802_2]) ).
cnf(f_802_4,plain,
( k7_relat_1(U_2483,k2_xboole_0(U_2481,U_2480)) = k7_relat_1(U_2482,k2_xboole_0(U_2481,U_2480))
| k7_relat_1(U_2483,U_2480) != k7_relat_1(U_2482,U_2480)
| k7_relat_1(U_2483,U_2481) != k7_relat_1(U_2482,U_2481)
| ~ v1_relat_1(U_2482)
| ~ v1_relat_1(U_2483) ),
inference(clausify,[status(thm)],[f_802_3]) ).
fof(f_803_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(C,k7_relat_1(B,A))
| ~ r1_tarski(C,B)
| ~ r1_tarski(k1_relat_1(C),A)
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t186_relat_1]) ).
fof(f_803_2,plain,
! [U_2486,U_2485] :
( ! [U_2484] :
( r1_tarski(U_2484,k7_relat_1(U_2485,U_2486))
| ~ r1_tarski(U_2484,U_2485)
| ~ r1_tarski(k1_relat_1(U_2484),U_2486)
| ~ v1_relat_1(U_2484) )
| ~ v1_relat_1(U_2485) ),
inference(variable_rename,[status(thm)],[f_803_1]) ).
fof(f_803_3,plain,
! [U_2484,U_2486,U_2485] :
( r1_tarski(U_2484,k7_relat_1(U_2485,U_2486))
| ~ r1_tarski(U_2484,U_2485)
| ~ r1_tarski(k1_relat_1(U_2484),U_2486)
| ~ v1_relat_1(U_2484)
| ~ v1_relat_1(U_2485) ),
inference(definitional_conversion,[status(esa)],[f_803_2]) ).
cnf(f_803_4,plain,
( r1_tarski(U_2484,k7_relat_1(U_2485,U_2486))
| ~ r1_tarski(U_2484,U_2485)
| ~ r1_tarski(k1_relat_1(U_2484),U_2486)
| ~ v1_relat_1(U_2484)
| ~ v1_relat_1(U_2485) ),
inference(clausify,[status(thm)],[f_803_3]) ).
fof(f_804_1,plain,
! [A] :
( ! [B] :
( k7_relat_1(A,B) = k1_xboole_0
| ~ r1_xboole_0(B,k1_relat_1(A)) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t187_relat_1]) ).
fof(f_804_2,plain,
! [U_2488] :
( ! [U_2487] :
( k7_relat_1(U_2488,U_2487) = k1_xboole_0
| ~ r1_xboole_0(U_2487,k1_relat_1(U_2488)) )
| ~ v1_relat_1(U_2488) ),
inference(variable_rename,[status(thm)],[f_804_1]) ).
fof(f_804_3,plain,
! [U_2487,U_2488] :
( k7_relat_1(U_2488,U_2487) = k1_xboole_0
| ~ r1_xboole_0(U_2487,k1_relat_1(U_2488))
| ~ v1_relat_1(U_2488) ),
inference(definitional_conversion,[status(esa)],[f_804_2]) ).
cnf(f_804_4,plain,
( k7_relat_1(U_2488,U_2487) = k1_xboole_0
| ~ r1_xboole_0(U_2487,k1_relat_1(U_2488))
| ~ v1_relat_1(U_2488) ),
inference(clausify,[status(thm)],[f_804_3]) ).
fof(f_805_1,plain,
! [A] :
( ! [B] :
( ! [C,D] :
( k7_relat_1(A,C) = k7_relat_1(B,C)
| k7_relat_1(A,D) != k7_relat_1(B,D)
| ~ r1_tarski(C,D) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t188_relat_1]) ).
fof(f_805_2,plain,
! [U_2492] :
( ! [U_2491] :
( ! [U_2490,U_2489] :
( k7_relat_1(U_2492,U_2490) = k7_relat_1(U_2491,U_2490)
| k7_relat_1(U_2492,U_2489) != k7_relat_1(U_2491,U_2489)
| ~ r1_tarski(U_2490,U_2489) )
| ~ v1_relat_1(U_2491) )
| ~ v1_relat_1(U_2492) ),
inference(variable_rename,[status(thm)],[f_805_1]) ).
fof(f_805_3,plain,
! [U_2492] :
( ! [U_2491] :
( ! [U_2490] :
( ! [U_2489] :
( k7_relat_1(U_2492,U_2489) != k7_relat_1(U_2491,U_2489)
| ~ r1_tarski(U_2490,U_2489) )
| k7_relat_1(U_2492,U_2490) = k7_relat_1(U_2491,U_2490) )
| ~ v1_relat_1(U_2491) )
| ~ v1_relat_1(U_2492) ),
inference(miniscope,[status(thm)],[f_805_2]) ).
fof(f_805_4,plain,
! [U_2491,U_2492,U_2490,U_2489] :
( k7_relat_1(U_2492,U_2489) != k7_relat_1(U_2491,U_2489)
| ~ r1_tarski(U_2490,U_2489)
| k7_relat_1(U_2492,U_2490) = k7_relat_1(U_2491,U_2490)
| ~ v1_relat_1(U_2491)
| ~ v1_relat_1(U_2492) ),
inference(definitional_conversion,[status(esa)],[f_805_3]) ).
cnf(f_805_5,plain,
( k7_relat_1(U_2492,U_2489) != k7_relat_1(U_2491,U_2489)
| ~ r1_tarski(U_2490,U_2489)
| k7_relat_1(U_2492,U_2490) = k7_relat_1(U_2491,U_2490)
| ~ v1_relat_1(U_2491)
| ~ v1_relat_1(U_2492) ),
inference(clausify,[status(thm)],[f_805_4]) ).
fof(f_806_1,plain,
! [A] :
( ! [B] :
( k7_relat_1(A,k1_relat_1(B)) = k7_relat_1(A,k1_relat_1(k7_relat_1(B,k1_relat_1(A))))
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t189_relat_1]) ).
fof(f_806_2,plain,
! [U_2494] :
( ! [U_2493] :
( k7_relat_1(U_2494,k1_relat_1(U_2493)) = k7_relat_1(U_2494,k1_relat_1(k7_relat_1(U_2493,k1_relat_1(U_2494))))
| ~ v1_relat_1(U_2493) )
| ~ v1_relat_1(U_2494) ),
inference(variable_rename,[status(thm)],[f_806_1]) ).
fof(f_806_3,plain,
! [U_2494,U_2493] :
( k7_relat_1(U_2494,k1_relat_1(U_2493)) = k7_relat_1(U_2494,k1_relat_1(k7_relat_1(U_2493,k1_relat_1(U_2494))))
| ~ v1_relat_1(U_2493)
| ~ v1_relat_1(U_2494) ),
inference(definitional_conversion,[status(esa)],[f_806_2]) ).
cnf(f_806_4,plain,
( k7_relat_1(U_2494,k1_relat_1(U_2493)) = k7_relat_1(U_2494,k1_relat_1(k7_relat_1(U_2493,k1_relat_1(U_2494))))
| ~ v1_relat_1(U_2493)
| ~ v1_relat_1(U_2494) ),
inference(clausify,[status(thm)],[f_806_3]) ).
fof(f_807_1,plain,
! [A,B] :
( ~ v3_relat_1(B)
| v3_relat_1(k7_relat_1(B,A))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t190_relat_1]) ).
fof(f_807_2,plain,
! [U_2496,U_2495] :
( ~ v3_relat_1(U_2495)
| v3_relat_1(k7_relat_1(U_2495,U_2496))
| ~ v1_relat_1(U_2495) ),
inference(variable_rename,[status(thm)],[f_807_1]) ).
fof(f_807_3,plain,
! [U_2496,U_2495] :
( ~ v3_relat_1(U_2495)
| v3_relat_1(k7_relat_1(U_2495,U_2496))
| ~ v1_relat_1(U_2495) ),
inference(definitional_conversion,[status(esa)],[f_807_2]) ).
cnf(f_807_4,plain,
( ~ v3_relat_1(U_2495)
| v3_relat_1(k7_relat_1(U_2495,U_2496))
| ~ v1_relat_1(U_2495) ),
inference(clausify,[status(thm)],[f_807_3]) ).
fof(f_808_1,plain,
? [A] :
( ! [B,C] :
( ( r2_hidden(k4_tarski(B,C),A)
| ~ p1_s1_relat_1(B,C)
| ~ r2_hidden(C,f2_s1_relat_1)
| ~ r2_hidden(B,f1_s1_relat_1) )
& ( ( p1_s1_relat_1(B,C)
& r2_hidden(C,f2_s1_relat_1)
& r2_hidden(B,f1_s1_relat_1) )
| ~ r2_hidden(k4_tarski(B,C),A) ) )
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s1_relat_1]) ).
fof(f_808_2,plain,
? [U_2499] :
( ! [U_2498,U_2497] :
( ( r2_hidden(k4_tarski(U_2498,U_2497),U_2499)
| ~ p1_s1_relat_1(U_2498,U_2497)
| ~ r2_hidden(U_2497,f2_s1_relat_1)
| ~ r2_hidden(U_2498,f1_s1_relat_1) )
& ( ( p1_s1_relat_1(U_2498,U_2497)
& r2_hidden(U_2497,f2_s1_relat_1)
& r2_hidden(U_2498,f1_s1_relat_1) )
| ~ r2_hidden(k4_tarski(U_2498,U_2497),U_2499) ) )
& v1_relat_1(U_2499) ),
inference(variable_rename,[status(thm)],[f_808_1]) ).
fof(f_808_3,plain,
? [U_2499] :
( ! [U_2503,U_2501] :
( r2_hidden(k4_tarski(U_2503,U_2501),U_2499)
| ~ p1_s1_relat_1(U_2503,U_2501)
| ~ r2_hidden(U_2501,f2_s1_relat_1)
| ~ r2_hidden(U_2503,f1_s1_relat_1) )
& ! [U_2502,U_2500] :
( ( p1_s1_relat_1(U_2502,U_2500)
& r2_hidden(U_2500,f2_s1_relat_1)
& r2_hidden(U_2502,f1_s1_relat_1) )
| ~ r2_hidden(k4_tarski(U_2502,U_2500),U_2499) )
& v1_relat_1(U_2499) ),
inference(miniscope,[status(thm)],[f_808_2]) ).
fof(f_808_4,plain,
( ! [U_2503,U_2501] :
( r2_hidden(k4_tarski(U_2503,U_2501),sK184)
| ~ p1_s1_relat_1(U_2503,U_2501)
| ~ r2_hidden(U_2501,f2_s1_relat_1)
| ~ r2_hidden(U_2503,f1_s1_relat_1) )
& ! [U_2502,U_2500] :
( ( p1_s1_relat_1(U_2502,U_2500)
& r2_hidden(U_2500,f2_s1_relat_1)
& r2_hidden(U_2502,f1_s1_relat_1) )
| ~ r2_hidden(k4_tarski(U_2502,U_2500),sK184) )
& v1_relat_1(sK184) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK184]),skolemize(U_2499,sK184)],[f_808_3]) ).
fof(f_808_5,plain,
( ! [U_2500,U_2502] :
( p1_s1_relat_1(U_2502,U_2500)
| ~ sP283(U_2500,U_2502) )
& ! [U_2500,U_2502] :
( r2_hidden(U_2500,f2_s1_relat_1)
| ~ sP283(U_2500,U_2502) )
& ! [U_2500,U_2502] :
( r2_hidden(U_2502,f1_s1_relat_1)
| ~ sP283(U_2500,U_2502) )
& ! [U_2503,U_2501] :
( r2_hidden(k4_tarski(U_2503,U_2501),sK184)
| ~ p1_s1_relat_1(U_2503,U_2501)
| ~ r2_hidden(U_2501,f2_s1_relat_1)
| ~ r2_hidden(U_2503,f1_s1_relat_1) )
& ! [U_2500,U_2502] :
( sP283(U_2500,U_2502)
| ~ r2_hidden(k4_tarski(U_2502,U_2500),sK184) )
& v1_relat_1(sK184) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP283])],[f_808_4]) ).
cnf(f_808_6,plain,
v1_relat_1(sK184),
inference(clausify,[status(thm)],[f_808_5]) ).
cnf(f_808_7,plain,
( sP283(U_2500,U_2502)
| ~ r2_hidden(k4_tarski(U_2502,U_2500),sK184) ),
inference(clausify,[status(thm)],[f_808_5]) ).
cnf(f_808_8,plain,
( r2_hidden(k4_tarski(U_2503,U_2501),sK184)
| ~ p1_s1_relat_1(U_2503,U_2501)
| ~ r2_hidden(U_2501,f2_s1_relat_1)
| ~ r2_hidden(U_2503,f1_s1_relat_1) ),
inference(clausify,[status(thm)],[f_808_5]) ).
cnf(f_808_9,plain,
( r2_hidden(U_2502,f1_s1_relat_1)
| ~ sP283(U_2500,U_2502) ),
inference(clausify,[status(thm)],[f_808_5]) ).
cnf(f_808_10,plain,
( r2_hidden(U_2500,f2_s1_relat_1)
| ~ sP283(U_2500,U_2502) ),
inference(clausify,[status(thm)],[f_808_5]) ).
cnf(f_808_11,plain,
( p1_s1_relat_1(U_2502,U_2500)
| ~ sP283(U_2500,U_2502) ),
inference(clausify,[status(thm)],[f_808_5]) ).
fof(f_809_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_relat_1]) ).
fof(f_809_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_809_1]) ).
cnf(f_809_3,plain,
$true,
inference(clausify,[status(thm)],[f_809_2]) ).
fof(f_810_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_relat_1]) ).
fof(f_810_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_810_1]) ).
cnf(f_810_3,plain,
$true,
inference(clausify,[status(thm)],[f_810_2]) ).
fof(f_811_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_relat_1]) ).
fof(f_811_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_811_1]) ).
cnf(f_811_3,plain,
$true,
inference(clausify,[status(thm)],[f_811_2]) ).
fof(f_812_1,plain,
! [A] :
( v1_relat_1(k4_relat_1(A))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_relat_1]) ).
fof(f_812_2,plain,
! [U_2504] :
( v1_relat_1(k4_relat_1(U_2504))
| ~ v1_relat_1(U_2504) ),
inference(variable_rename,[status(thm)],[f_812_1]) ).
fof(f_812_3,plain,
! [U_2504] :
( v1_relat_1(k4_relat_1(U_2504))
| ~ v1_relat_1(U_2504) ),
inference(definitional_conversion,[status(esa)],[f_812_2]) ).
cnf(f_812_4,plain,
( v1_relat_1(k4_relat_1(U_2504))
| ~ v1_relat_1(U_2504) ),
inference(clausify,[status(thm)],[f_812_3]) ).
fof(f_813_1,plain,
! [A] :
( k4_relat_1(k4_relat_1(A)) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1]) ).
fof(f_813_2,plain,
! [U_2505] :
( k4_relat_1(k4_relat_1(U_2505)) = U_2505
| ~ v1_relat_1(U_2505) ),
inference(variable_rename,[status(thm)],[f_813_1]) ).
fof(f_813_3,plain,
! [U_2505] :
( k4_relat_1(k4_relat_1(U_2505)) = U_2505
| ~ v1_relat_1(U_2505) ),
inference(definitional_conversion,[status(esa)],[f_813_2]) ).
cnf(f_813_4,plain,
( k4_relat_1(k4_relat_1(U_2505)) = U_2505
| ~ v1_relat_1(U_2505) ),
inference(clausify,[status(thm)],[f_813_3]) ).
fof(f_814_1,plain,
! [A,B] :
( v1_relat_1(k5_relat_1(A,B))
| ~ v1_relat_1(B)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_relat_1]) ).
fof(f_814_2,plain,
! [U_2507,U_2506] :
( v1_relat_1(k5_relat_1(U_2507,U_2506))
| ~ v1_relat_1(U_2506)
| ~ v1_relat_1(U_2507) ),
inference(variable_rename,[status(thm)],[f_814_1]) ).
fof(f_814_3,plain,
! [U_2507,U_2506] :
( v1_relat_1(k5_relat_1(U_2507,U_2506))
| ~ v1_relat_1(U_2506)
| ~ v1_relat_1(U_2507) ),
inference(definitional_conversion,[status(esa)],[f_814_2]) ).
cnf(f_814_4,plain,
( v1_relat_1(k5_relat_1(U_2507,U_2506))
| ~ v1_relat_1(U_2506)
| ~ v1_relat_1(U_2507) ),
inference(clausify,[status(thm)],[f_814_3]) ).
fof(f_815_1,plain,
! [A] : v1_relat_1(k6_relat_1(A)),
inference(fof_nnf,[status(thm)],[dt_k6_relat_1]) ).
fof(f_815_2,plain,
! [U_2508] : v1_relat_1(k6_relat_1(U_2508)),
inference(variable_rename,[status(thm)],[f_815_1]) ).
fof(f_815_3,plain,
! [U_2508] : v1_relat_1(k6_relat_1(U_2508)),
inference(definitional_conversion,[status(esa)],[f_815_2]) ).
cnf(f_815_4,plain,
v1_relat_1(k6_relat_1(U_2508)),
inference(clausify,[status(thm)],[f_815_3]) ).
fof(f_816_1,plain,
! [A,B] :
( v1_relat_1(k7_relat_1(A,B))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_relat_1]) ).
fof(f_816_2,plain,
! [U_2510,U_2509] :
( v1_relat_1(k7_relat_1(U_2510,U_2509))
| ~ v1_relat_1(U_2510) ),
inference(variable_rename,[status(thm)],[f_816_1]) ).
fof(f_816_3,plain,
! [U_2510] :
( ! [U_2509] : v1_relat_1(k7_relat_1(U_2510,U_2509))
| ~ v1_relat_1(U_2510) ),
inference(miniscope,[status(thm)],[f_816_2]) ).
fof(f_816_4,plain,
! [U_2509,U_2510] :
( v1_relat_1(k7_relat_1(U_2510,U_2509))
| ~ v1_relat_1(U_2510) ),
inference(definitional_conversion,[status(esa)],[f_816_3]) ).
cnf(f_816_5,plain,
( v1_relat_1(k7_relat_1(U_2510,U_2509))
| ~ v1_relat_1(U_2510) ),
inference(clausify,[status(thm)],[f_816_4]) ).
fof(f_817_1,plain,
! [A,B] :
( v1_relat_1(k8_relat_1(A,B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[dt_k8_relat_1]) ).
fof(f_817_2,plain,
! [U_2512,U_2511] :
( v1_relat_1(k8_relat_1(U_2512,U_2511))
| ~ v1_relat_1(U_2511) ),
inference(variable_rename,[status(thm)],[f_817_1]) ).
fof(f_817_3,plain,
! [U_2511,U_2512] :
( v1_relat_1(k8_relat_1(U_2512,U_2511))
| ~ v1_relat_1(U_2511) ),
inference(definitional_conversion,[status(esa)],[f_817_2]) ).
cnf(f_817_4,plain,
( v1_relat_1(k8_relat_1(U_2512,U_2511))
| ~ v1_relat_1(U_2511) ),
inference(clausify,[status(thm)],[f_817_3]) ).
fof(f_818_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k9_relat_1]) ).
fof(f_818_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_818_1]) ).
cnf(f_818_3,plain,
$true,
inference(clausify,[status(thm)],[f_818_2]) ).
fof(f_819_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k10_relat_1]) ).
fof(f_819_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_819_1]) ).
cnf(f_819_3,plain,
$true,
inference(clausify,[status(thm)],[f_819_2]) ).
fof(f_820_1,plain,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_820_2,plain,
? [U_2513] :
( v1_funct_1(U_2513)
& v1_relat_1(U_2513) ),
inference(variable_rename,[status(thm)],[f_820_1]) ).
fof(f_820_3,plain,
( v1_funct_1(sK185)
& v1_relat_1(sK185) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK185]),skolemize(U_2513,sK185)],[f_820_2]) ).
fof(f_820_4,plain,
( v1_funct_1(sK185)
& v1_relat_1(sK185) ),
inference(definitional_conversion,[status(esa)],[f_820_3]) ).
cnf(f_820_5,plain,
v1_relat_1(sK185),
inference(clausify,[status(thm)],[f_820_4]) ).
cnf(f_820_6,plain,
v1_funct_1(sK185),
inference(clausify,[status(thm)],[f_820_4]) ).
fof(f_821_1,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_funct_1]) ).
fof(f_821_2,plain,
! [U_2514] :
( v1_funct_1(U_2514)
| ~ v1_xboole_0(U_2514) ),
inference(variable_rename,[status(thm)],[f_821_1]) ).
fof(f_821_3,plain,
! [U_2514] :
( v1_funct_1(U_2514)
| ~ v1_xboole_0(U_2514) ),
inference(definitional_conversion,[status(esa)],[f_821_2]) ).
cnf(f_821_4,plain,
( v1_funct_1(U_2514)
| ~ v1_xboole_0(U_2514) ),
inference(clausify,[status(thm)],[f_821_3]) ).
fof(f_822_1,plain,
! [A,B] :
( ( v1_funct_1(k5_relat_1(A,B))
& v1_relat_1(k5_relat_1(A,B)) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc1_funct_1]) ).
fof(f_822_2,plain,
! [U_2516,U_2515] :
( ( v1_funct_1(k5_relat_1(U_2516,U_2515))
& v1_relat_1(k5_relat_1(U_2516,U_2515)) )
| ~ v1_funct_1(U_2515)
| ~ v1_relat_1(U_2515)
| ~ v1_funct_1(U_2516)
| ~ v1_relat_1(U_2516) ),
inference(variable_rename,[status(thm)],[f_822_1]) ).
fof(f_822_3,plain,
( ! [U_2516,U_2515] :
( v1_funct_1(k5_relat_1(U_2516,U_2515))
| ~ sP284(U_2516,U_2515) )
& ! [U_2516,U_2515] :
( v1_relat_1(k5_relat_1(U_2516,U_2515))
| ~ sP284(U_2516,U_2515) )
& ! [U_2516,U_2515] :
( sP284(U_2516,U_2515)
| ~ v1_funct_1(U_2515)
| ~ v1_relat_1(U_2515)
| ~ v1_funct_1(U_2516)
| ~ v1_relat_1(U_2516) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP284])],[f_822_2]) ).
cnf(f_822_4,plain,
( sP284(U_2516,U_2515)
| ~ v1_funct_1(U_2515)
| ~ v1_relat_1(U_2515)
| ~ v1_funct_1(U_2516)
| ~ v1_relat_1(U_2516) ),
inference(clausify,[status(thm)],[f_822_3]) ).
cnf(f_822_5,plain,
( v1_relat_1(k5_relat_1(U_2516,U_2515))
| ~ sP284(U_2516,U_2515) ),
inference(clausify,[status(thm)],[f_822_3]) ).
cnf(f_822_6,plain,
( v1_funct_1(k5_relat_1(U_2516,U_2515))
| ~ sP284(U_2516,U_2515) ),
inference(clausify,[status(thm)],[f_822_3]) ).
fof(f_823_1,plain,
! [A] :
( v1_funct_1(k6_relat_1(A))
& v1_relat_1(k6_relat_1(A)) ),
inference(fof_nnf,[status(thm)],[fc2_funct_1]) ).
fof(f_823_2,plain,
! [U_2517] :
( v1_funct_1(k6_relat_1(U_2517))
& v1_relat_1(k6_relat_1(U_2517)) ),
inference(variable_rename,[status(thm)],[f_823_1]) ).
fof(f_823_3,plain,
( ! [U_2519] : v1_funct_1(k6_relat_1(U_2519))
& ! [U_2518] : v1_relat_1(k6_relat_1(U_2518)) ),
inference(miniscope,[status(thm)],[f_823_2]) ).
fof(f_823_4,plain,
( ! [U_2519] : v1_funct_1(k6_relat_1(U_2519))
& ! [U_2518] : v1_relat_1(k6_relat_1(U_2518)) ),
inference(definitional_conversion,[status(esa)],[f_823_3]) ).
cnf(f_823_5,plain,
v1_relat_1(k6_relat_1(U_2518)),
inference(clausify,[status(thm)],[f_823_4]) ).
cnf(f_823_6,plain,
v1_funct_1(k6_relat_1(U_2519)),
inference(clausify,[status(thm)],[f_823_4]) ).
fof(f_824_1,plain,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_funct_1]) ).
fof(f_824_2,plain,
? [U_2520] :
( v1_funct_1(U_2520)
& v1_xboole_0(U_2520)
& v1_relat_1(U_2520) ),
inference(variable_rename,[status(thm)],[f_824_1]) ).
fof(f_824_3,plain,
( v1_funct_1(sK186)
& v1_xboole_0(sK186)
& v1_relat_1(sK186) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK186]),skolemize(U_2520,sK186)],[f_824_2]) ).
fof(f_824_4,plain,
( v1_funct_1(sK186)
& v1_xboole_0(sK186)
& v1_relat_1(sK186) ),
inference(definitional_conversion,[status(esa)],[f_824_3]) ).
cnf(f_824_5,plain,
v1_relat_1(sK186),
inference(clausify,[status(thm)],[f_824_4]) ).
cnf(f_824_6,plain,
v1_xboole_0(sK186),
inference(clausify,[status(thm)],[f_824_4]) ).
cnf(f_824_7,plain,
v1_funct_1(sK186),
inference(clausify,[status(thm)],[f_824_4]) ).
fof(f_825_1,plain,
! [A] :
( ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_funct_1(A)
| ~ v1_xboole_0(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_funct_1]) ).
fof(f_825_2,plain,
! [U_2521] :
( ( v2_funct_1(U_2521)
& v1_funct_1(U_2521)
& v1_relat_1(U_2521) )
| ~ v1_funct_1(U_2521)
| ~ v1_xboole_0(U_2521)
| ~ v1_relat_1(U_2521) ),
inference(variable_rename,[status(thm)],[f_825_1]) ).
fof(f_825_3,plain,
( ! [U_2521] :
( v2_funct_1(U_2521)
| ~ sP285(U_2521) )
& ! [U_2521] :
( v1_funct_1(U_2521)
| ~ sP285(U_2521) )
& ! [U_2521] :
( v1_relat_1(U_2521)
| ~ sP285(U_2521) )
& ! [U_2521] :
( sP285(U_2521)
| ~ v1_funct_1(U_2521)
| ~ v1_xboole_0(U_2521)
| ~ v1_relat_1(U_2521) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP285])],[f_825_2]) ).
cnf(f_825_4,plain,
( sP285(U_2521)
| ~ v1_funct_1(U_2521)
| ~ v1_xboole_0(U_2521)
| ~ v1_relat_1(U_2521) ),
inference(clausify,[status(thm)],[f_825_3]) ).
cnf(f_825_5,plain,
( v1_relat_1(U_2521)
| ~ sP285(U_2521) ),
inference(clausify,[status(thm)],[f_825_3]) ).
cnf(f_825_6,plain,
( v1_funct_1(U_2521)
| ~ sP285(U_2521) ),
inference(clausify,[status(thm)],[f_825_3]) ).
cnf(f_825_7,plain,
( v2_funct_1(U_2521)
| ~ sP285(U_2521) ),
inference(clausify,[status(thm)],[f_825_3]) ).
fof(f_826_1,plain,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_funct_1]) ).
fof(f_826_2,plain,
? [U_2522] :
( v2_funct_1(U_2522)
& v1_funct_1(U_2522)
& v1_relat_1(U_2522) ),
inference(variable_rename,[status(thm)],[f_826_1]) ).
fof(f_826_3,plain,
( v2_funct_1(sK187)
& v1_funct_1(sK187)
& v1_relat_1(sK187) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK187]),skolemize(U_2522,sK187)],[f_826_2]) ).
fof(f_826_4,plain,
( v2_funct_1(sK187)
& v1_funct_1(sK187)
& v1_relat_1(sK187) ),
inference(definitional_conversion,[status(esa)],[f_826_3]) ).
cnf(f_826_5,plain,
v1_relat_1(sK187),
inference(clausify,[status(thm)],[f_826_4]) ).
cnf(f_826_6,plain,
v1_funct_1(sK187),
inference(clausify,[status(thm)],[f_826_4]) ).
cnf(f_826_7,plain,
v2_funct_1(sK187),
inference(clausify,[status(thm)],[f_826_4]) ).
fof(f_827_1,plain,
! [A] :
( ( v1_funct_1(k4_relat_1(A))
& v1_relat_1(k4_relat_1(A)) )
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc3_funct_1]) ).
fof(f_827_2,plain,
! [U_2523] :
( ( v1_funct_1(k4_relat_1(U_2523))
& v1_relat_1(k4_relat_1(U_2523)) )
| ~ v2_funct_1(U_2523)
| ~ v1_funct_1(U_2523)
| ~ v1_relat_1(U_2523) ),
inference(variable_rename,[status(thm)],[f_827_1]) ).
fof(f_827_3,plain,
( ! [U_2523] :
( v1_funct_1(k4_relat_1(U_2523))
| ~ sP286(U_2523) )
& ! [U_2523] :
( v1_relat_1(k4_relat_1(U_2523))
| ~ sP286(U_2523) )
& ! [U_2523] :
( sP286(U_2523)
| ~ v2_funct_1(U_2523)
| ~ v1_funct_1(U_2523)
| ~ v1_relat_1(U_2523) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP286])],[f_827_2]) ).
cnf(f_827_4,plain,
( sP286(U_2523)
| ~ v2_funct_1(U_2523)
| ~ v1_funct_1(U_2523)
| ~ v1_relat_1(U_2523) ),
inference(clausify,[status(thm)],[f_827_3]) ).
cnf(f_827_5,plain,
( v1_relat_1(k4_relat_1(U_2523))
| ~ sP286(U_2523) ),
inference(clausify,[status(thm)],[f_827_3]) ).
cnf(f_827_6,plain,
( v1_funct_1(k4_relat_1(U_2523))
| ~ sP286(U_2523) ),
inference(clausify,[status(thm)],[f_827_3]) ).
fof(f_828_1,plain,
! [A,B] :
( ( v1_funct_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc4_funct_1]) ).
fof(f_828_2,plain,
! [U_2525,U_2524] :
( ( v1_funct_1(k7_relat_1(U_2525,U_2524))
& v1_relat_1(k7_relat_1(U_2525,U_2524)) )
| ~ v1_funct_1(U_2525)
| ~ v1_relat_1(U_2525) ),
inference(variable_rename,[status(thm)],[f_828_1]) ).
fof(f_828_3,plain,
! [U_2525] :
( ( ! [U_2527] : v1_funct_1(k7_relat_1(U_2525,U_2527))
& ! [U_2526] : v1_relat_1(k7_relat_1(U_2525,U_2526)) )
| ~ v1_funct_1(U_2525)
| ~ v1_relat_1(U_2525) ),
inference(miniscope,[status(thm)],[f_828_2]) ).
fof(f_828_4,plain,
( ! [U_2525,U_2527,U_2526] :
( v1_funct_1(k7_relat_1(U_2525,U_2527))
| ~ sP287(U_2525,U_2527,U_2526) )
& ! [U_2525,U_2527,U_2526] :
( v1_relat_1(k7_relat_1(U_2525,U_2526))
| ~ sP287(U_2525,U_2527,U_2526) )
& ! [U_2525,U_2527,U_2526] :
( sP287(U_2525,U_2527,U_2526)
| ~ v1_funct_1(U_2525)
| ~ v1_relat_1(U_2525) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP287])],[f_828_3]) ).
cnf(f_828_5,plain,
( sP287(U_2525,U_2527,U_2526)
| ~ v1_funct_1(U_2525)
| ~ v1_relat_1(U_2525) ),
inference(clausify,[status(thm)],[f_828_4]) ).
cnf(f_828_6,plain,
( v1_relat_1(k7_relat_1(U_2525,U_2526))
| ~ sP287(U_2525,U_2527,U_2526) ),
inference(clausify,[status(thm)],[f_828_4]) ).
cnf(f_828_7,plain,
( v1_funct_1(k7_relat_1(U_2525,U_2527))
| ~ sP287(U_2525,U_2527,U_2526) ),
inference(clausify,[status(thm)],[f_828_4]) ).
fof(f_829_1,plain,
! [A,B] :
( ( v1_funct_1(k8_relat_1(A,B))
& v1_relat_1(k8_relat_1(A,B)) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[fc5_funct_1]) ).
fof(f_829_2,plain,
! [U_2529,U_2528] :
( ( v1_funct_1(k8_relat_1(U_2529,U_2528))
& v1_relat_1(k8_relat_1(U_2529,U_2528)) )
| ~ v1_funct_1(U_2528)
| ~ v1_relat_1(U_2528) ),
inference(variable_rename,[status(thm)],[f_829_1]) ).
fof(f_829_3,plain,
( ! [U_2529,U_2528] :
( v1_funct_1(k8_relat_1(U_2529,U_2528))
| ~ sP288(U_2529,U_2528) )
& ! [U_2529,U_2528] :
( v1_relat_1(k8_relat_1(U_2529,U_2528))
| ~ sP288(U_2529,U_2528) )
& ! [U_2529,U_2528] :
( sP288(U_2529,U_2528)
| ~ v1_funct_1(U_2528)
| ~ v1_relat_1(U_2528) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP288])],[f_829_2]) ).
cnf(f_829_4,plain,
( sP288(U_2529,U_2528)
| ~ v1_funct_1(U_2528)
| ~ v1_relat_1(U_2528) ),
inference(clausify,[status(thm)],[f_829_3]) ).
cnf(f_829_5,plain,
( v1_relat_1(k8_relat_1(U_2529,U_2528))
| ~ sP288(U_2529,U_2528) ),
inference(clausify,[status(thm)],[f_829_3]) ).
cnf(f_829_6,plain,
( v1_funct_1(k8_relat_1(U_2529,U_2528))
| ~ sP288(U_2529,U_2528) ),
inference(clausify,[status(thm)],[f_829_3]) ).
fof(f_830_1,plain,
? [A] :
( v1_funct_1(A)
& v3_relat_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc4_funct_1]) ).
fof(f_830_2,plain,
? [U_2530] :
( v1_funct_1(U_2530)
& v3_relat_1(U_2530)
& v1_relat_1(U_2530) ),
inference(variable_rename,[status(thm)],[f_830_1]) ).
fof(f_830_3,plain,
( v1_funct_1(sK188)
& v3_relat_1(sK188)
& v1_relat_1(sK188) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK188]),skolemize(U_2530,sK188)],[f_830_2]) ).
fof(f_830_4,plain,
( v1_funct_1(sK188)
& v3_relat_1(sK188)
& v1_relat_1(sK188) ),
inference(definitional_conversion,[status(esa)],[f_830_3]) ).
cnf(f_830_5,plain,
v1_relat_1(sK188),
inference(clausify,[status(thm)],[f_830_4]) ).
cnf(f_830_6,plain,
v3_relat_1(sK188),
inference(clausify,[status(thm)],[f_830_4]) ).
cnf(f_830_7,plain,
v1_funct_1(sK188),
inference(clausify,[status(thm)],[f_830_4]) ).
fof(f_831_1,plain,
? [A] :
( v1_funct_1(A)
& v2_relat_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_funct_1]) ).
fof(f_831_2,plain,
? [U_2531] :
( v1_funct_1(U_2531)
& v2_relat_1(U_2531)
& v1_relat_1(U_2531) ),
inference(variable_rename,[status(thm)],[f_831_1]) ).
fof(f_831_3,plain,
( v1_funct_1(sK189)
& v2_relat_1(sK189)
& v1_relat_1(sK189) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK189]),skolemize(U_2531,sK189)],[f_831_2]) ).
fof(f_831_4,plain,
( v1_funct_1(sK189)
& v2_relat_1(sK189)
& v1_relat_1(sK189) ),
inference(definitional_conversion,[status(esa)],[f_831_3]) ).
cnf(f_831_5,plain,
v1_relat_1(sK189),
inference(clausify,[status(thm)],[f_831_4]) ).
cnf(f_831_6,plain,
v2_relat_1(sK189),
inference(clausify,[status(thm)],[f_831_4]) ).
cnf(f_831_7,plain,
v1_funct_1(sK189),
inference(clausify,[status(thm)],[f_831_4]) ).
fof(f_832_1,plain,
! [A] :
( v1_setfam_1(k2_relat_1(A))
| ~ v1_funct_1(A)
| ~ v2_relat_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc6_funct_1]) ).
fof(f_832_2,plain,
! [U_2532] :
( v1_setfam_1(k2_relat_1(U_2532))
| ~ v1_funct_1(U_2532)
| ~ v2_relat_1(U_2532)
| ~ v1_relat_1(U_2532) ),
inference(variable_rename,[status(thm)],[f_832_1]) ).
fof(f_832_3,plain,
! [U_2532] :
( v1_setfam_1(k2_relat_1(U_2532))
| ~ v1_funct_1(U_2532)
| ~ v2_relat_1(U_2532)
| ~ v1_relat_1(U_2532) ),
inference(definitional_conversion,[status(esa)],[f_832_2]) ).
cnf(f_832_4,plain,
( v1_setfam_1(k2_relat_1(U_2532))
| ~ v1_funct_1(U_2532)
| ~ v2_relat_1(U_2532)
| ~ v1_relat_1(U_2532) ),
inference(clausify,[status(thm)],[f_832_3]) ).
fof(f_833_1,plain,
! [A] :
( ( v1_funct_1(A)
| ? [B,C,D] :
( C != D
& r2_hidden(k4_tarski(B,D),A)
& r2_hidden(k4_tarski(B,C),A) ) )
& ( ! [B,C,D] :
( C = D
| ~ r2_hidden(k4_tarski(B,D),A)
| ~ r2_hidden(k4_tarski(B,C),A) )
| ~ v1_funct_1(A) ) ),
inference(fof_nnf,[status(thm)],[d1_funct_1]) ).
fof(f_833_2,plain,
! [U_2539] :
( ( v1_funct_1(U_2539)
| ? [U_2538,U_2537,U_2536] :
( U_2537 != U_2536
& r2_hidden(k4_tarski(U_2538,U_2536),U_2539)
& r2_hidden(k4_tarski(U_2538,U_2537),U_2539) ) )
& ( ! [U_2535,U_2534,U_2533] :
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2539)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2539) )
| ~ v1_funct_1(U_2539) ) ),
inference(variable_rename,[status(thm)],[f_833_1]) ).
fof(f_833_3,plain,
( ! [U_2541] :
( v1_funct_1(U_2541)
| ? [U_2538,U_2537,U_2536] :
( U_2537 != U_2536
& r2_hidden(k4_tarski(U_2538,U_2536),U_2541)
& r2_hidden(k4_tarski(U_2538,U_2537),U_2541) ) )
& ! [U_2540] :
( ! [U_2535,U_2534,U_2533] :
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2540)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2540) )
| ~ v1_funct_1(U_2540) ) ),
inference(miniscope,[status(thm)],[f_833_2]) ).
fof(f_833_4,plain,
( ! [U_2541] :
( v1_funct_1(U_2541)
| ? [U_2537,U_2536] :
( U_2537 != U_2536
& r2_hidden(k4_tarski(sK190(U_2541),U_2536),U_2541)
& r2_hidden(k4_tarski(sK190(U_2541),U_2537),U_2541) ) )
& ! [U_2540] :
( ! [U_2535,U_2534,U_2533] :
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2540)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2540) )
| ~ v1_funct_1(U_2540) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK190]),skolemize(U_2538,sK190(U_2541))],[f_833_3]) ).
fof(f_833_5,plain,
( ! [U_2541] :
( v1_funct_1(U_2541)
| ? [U_2536] :
( sK191(U_2541) != U_2536
& r2_hidden(k4_tarski(sK190(U_2541),U_2536),U_2541)
& r2_hidden(k4_tarski(sK190(U_2541),sK191(U_2541)),U_2541) ) )
& ! [U_2540] :
( ! [U_2535,U_2534,U_2533] :
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2540)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2540) )
| ~ v1_funct_1(U_2540) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK191]),skolemize(U_2537,sK191(U_2541))],[f_833_4]) ).
fof(f_833_6,plain,
( ! [U_2541] :
( v1_funct_1(U_2541)
| ( sK191(U_2541) != sK192(U_2541)
& r2_hidden(k4_tarski(sK190(U_2541),sK192(U_2541)),U_2541)
& r2_hidden(k4_tarski(sK190(U_2541),sK191(U_2541)),U_2541) ) )
& ! [U_2540] :
( ! [U_2535,U_2534,U_2533] :
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2540)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2540) )
| ~ v1_funct_1(U_2540) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK192]),skolemize(U_2536,sK192(U_2541))],[f_833_5]) ).
fof(f_833_7,plain,
( ! [U_2541] :
( sK191(U_2541) != sK192(U_2541)
| ~ sP289(U_2541) )
& ! [U_2541] :
( r2_hidden(k4_tarski(sK190(U_2541),sK192(U_2541)),U_2541)
| ~ sP289(U_2541) )
& ! [U_2541] :
( r2_hidden(k4_tarski(sK190(U_2541),sK191(U_2541)),U_2541)
| ~ sP289(U_2541) )
& ! [U_2541] :
( v1_funct_1(U_2541)
| sP289(U_2541) )
& ! [U_2535,U_2540,U_2533,U_2534] :
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2540)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2540)
| ~ v1_funct_1(U_2540) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP289])],[f_833_6]) ).
cnf(f_833_8,plain,
( U_2534 = U_2533
| ~ r2_hidden(k4_tarski(U_2535,U_2533),U_2540)
| ~ r2_hidden(k4_tarski(U_2535,U_2534),U_2540)
| ~ v1_funct_1(U_2540) ),
inference(clausify,[status(thm)],[f_833_7]) ).
cnf(f_833_9,plain,
( v1_funct_1(U_2541)
| sP289(U_2541) ),
inference(clausify,[status(thm)],[f_833_7]) ).
cnf(f_833_10,plain,
( r2_hidden(k4_tarski(sK190(U_2541),sK191(U_2541)),U_2541)
| ~ sP289(U_2541) ),
inference(clausify,[status(thm)],[f_833_7]) ).
cnf(f_833_11,plain,
( r2_hidden(k4_tarski(sK190(U_2541),sK192(U_2541)),U_2541)
| ~ sP289(U_2541) ),
inference(clausify,[status(thm)],[f_833_7]) ).
cnf(f_833_12,plain,
( sK191(U_2541) != sK192(U_2541)
| ~ sP289(U_2541) ),
inference(clausify,[status(thm)],[f_833_7]) ).
fof(f_834_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_funct_1]) ).
fof(f_834_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_834_1]) ).
cnf(f_834_3,plain,
$true,
inference(clausify,[status(thm)],[f_834_2]) ).
fof(f_835_1,plain,
! [A] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
| ? [B,C,D] :
( C != D
& r2_hidden(k4_tarski(B,D),A)
& r2_hidden(k4_tarski(B,C),A) )
| ? [B] :
( ! [C,D] : k4_tarski(C,D) != B
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t2_funct_1]) ).
fof(f_835_2,plain,
! [U_2548] :
( ( v1_funct_1(U_2548)
& v1_relat_1(U_2548) )
| ? [U_2547,U_2546,U_2545] :
( U_2546 != U_2545
& r2_hidden(k4_tarski(U_2547,U_2545),U_2548)
& r2_hidden(k4_tarski(U_2547,U_2546),U_2548) )
| ? [U_2544] :
( ! [U_2543,U_2542] : k4_tarski(U_2543,U_2542) != U_2544
& r2_hidden(U_2544,U_2548) ) ),
inference(variable_rename,[status(thm)],[f_835_1]) ).
fof(f_835_3,plain,
! [U_2548] :
( ( v1_funct_1(U_2548)
& v1_relat_1(U_2548) )
| ? [U_2547,U_2546,U_2545] :
( U_2546 != U_2545
& r2_hidden(k4_tarski(U_2547,U_2545),U_2548)
& r2_hidden(k4_tarski(U_2547,U_2546),U_2548) )
| ( ! [U_2543,U_2542] : k4_tarski(U_2543,U_2542) != sK193(U_2548)
& r2_hidden(sK193(U_2548),U_2548) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK193]),skolemize(U_2544,sK193(U_2548))],[f_835_2]) ).
fof(f_835_4,plain,
! [U_2548] :
( ( v1_funct_1(U_2548)
& v1_relat_1(U_2548) )
| ? [U_2546,U_2545] :
( U_2546 != U_2545
& r2_hidden(k4_tarski(sK194(U_2548),U_2545),U_2548)
& r2_hidden(k4_tarski(sK194(U_2548),U_2546),U_2548) )
| ( ! [U_2543,U_2542] : k4_tarski(U_2543,U_2542) != sK193(U_2548)
& r2_hidden(sK193(U_2548),U_2548) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK194]),skolemize(U_2547,sK194(U_2548))],[f_835_3]) ).
fof(f_835_5,plain,
! [U_2548] :
( ( v1_funct_1(U_2548)
& v1_relat_1(U_2548) )
| ? [U_2545] :
( sK195(U_2548) != U_2545
& r2_hidden(k4_tarski(sK194(U_2548),U_2545),U_2548)
& r2_hidden(k4_tarski(sK194(U_2548),sK195(U_2548)),U_2548) )
| ( ! [U_2543,U_2542] : k4_tarski(U_2543,U_2542) != sK193(U_2548)
& r2_hidden(sK193(U_2548),U_2548) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK195]),skolemize(U_2546,sK195(U_2548))],[f_835_4]) ).
fof(f_835_6,plain,
! [U_2548] :
( ( v1_funct_1(U_2548)
& v1_relat_1(U_2548) )
| ( sK195(U_2548) != sK196(U_2548)
& r2_hidden(k4_tarski(sK194(U_2548),sK196(U_2548)),U_2548)
& r2_hidden(k4_tarski(sK194(U_2548),sK195(U_2548)),U_2548) )
| ( ! [U_2543,U_2542] : k4_tarski(U_2543,U_2542) != sK193(U_2548)
& r2_hidden(sK193(U_2548),U_2548) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK196]),skolemize(U_2545,sK196(U_2548))],[f_835_5]) ).
fof(f_835_7,plain,
( ! [U_2548] :
( v1_funct_1(U_2548)
| ~ sP292(U_2548) )
& ! [U_2548] :
( v1_relat_1(U_2548)
| ~ sP292(U_2548) )
& ! [U_2548] :
( sK195(U_2548) != sK196(U_2548)
| ~ sP291(U_2548) )
& ! [U_2548] :
( r2_hidden(k4_tarski(sK194(U_2548),sK196(U_2548)),U_2548)
| ~ sP291(U_2548) )
& ! [U_2548] :
( r2_hidden(k4_tarski(sK194(U_2548),sK195(U_2548)),U_2548)
| ~ sP291(U_2548) )
& ! [U_2542,U_2548,U_2543] :
( k4_tarski(U_2543,U_2542) != sK193(U_2548)
| ~ sP290(U_2542,U_2548,U_2543) )
& ! [U_2542,U_2548,U_2543] :
( r2_hidden(sK193(U_2548),U_2548)
| ~ sP290(U_2542,U_2548,U_2543) )
& ! [U_2542,U_2548,U_2543] :
( sP292(U_2548)
| sP291(U_2548)
| sP290(U_2542,U_2548,U_2543) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP290,sP291,sP292])],[f_835_6]) ).
cnf(f_835_8,plain,
( sP292(U_2548)
| sP291(U_2548)
| sP290(U_2542,U_2548,U_2543) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_9,plain,
( r2_hidden(sK193(U_2548),U_2548)
| ~ sP290(U_2542,U_2548,U_2543) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_10,plain,
( k4_tarski(U_2543,U_2542) != sK193(U_2548)
| ~ sP290(U_2542,U_2548,U_2543) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_11,plain,
( r2_hidden(k4_tarski(sK194(U_2548),sK195(U_2548)),U_2548)
| ~ sP291(U_2548) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_12,plain,
( r2_hidden(k4_tarski(sK194(U_2548),sK196(U_2548)),U_2548)
| ~ sP291(U_2548) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_13,plain,
( sK195(U_2548) != sK196(U_2548)
| ~ sP291(U_2548) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_14,plain,
( v1_relat_1(U_2548)
| ~ sP292(U_2548) ),
inference(clausify,[status(thm)],[f_835_7]) ).
cnf(f_835_15,plain,
( v1_funct_1(U_2548)
| ~ sP292(U_2548) ),
inference(clausify,[status(thm)],[f_835_7]) ).
fof(f_836_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d2_funct_1]) ).
fof(f_836_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_836_1]) ).
cnf(f_836_3,plain,
$true,
inference(clausify,[status(thm)],[f_836_2]) ).
fof(f_837_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d3_funct_1]) ).
fof(f_837_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_837_1]) ).
cnf(f_837_3,plain,
$true,
inference(clausify,[status(thm)],[f_837_2]) ).
fof(f_838_1,plain,
! [A] :
( ! [B,C] :
( ( ( ( C = k1_funct_1(A,B)
| C != k1_xboole_0 )
& ( C = k1_xboole_0
| C != k1_funct_1(A,B) ) )
| r2_hidden(B,k1_relat_1(A)) )
& ( ( ( C = k1_funct_1(A,B)
| ~ r2_hidden(k4_tarski(B,C),A) )
& ( r2_hidden(k4_tarski(B,C),A)
| C != k1_funct_1(A,B) ) )
| ~ r2_hidden(B,k1_relat_1(A)) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d4_funct_1]) ).
fof(f_838_2,plain,
! [U_2551] :
( ! [U_2550,U_2549] :
( ( ( ( U_2549 = k1_funct_1(U_2551,U_2550)
| U_2549 != k1_xboole_0 )
& ( U_2549 = k1_xboole_0
| U_2549 != k1_funct_1(U_2551,U_2550) ) )
| r2_hidden(U_2550,k1_relat_1(U_2551)) )
& ( ( ( U_2549 = k1_funct_1(U_2551,U_2550)
| ~ r2_hidden(k4_tarski(U_2550,U_2549),U_2551) )
& ( r2_hidden(k4_tarski(U_2550,U_2549),U_2551)
| U_2549 != k1_funct_1(U_2551,U_2550) ) )
| ~ r2_hidden(U_2550,k1_relat_1(U_2551)) ) )
| ~ v1_funct_1(U_2551)
| ~ v1_relat_1(U_2551) ),
inference(variable_rename,[status(thm)],[f_838_1]) ).
fof(f_838_3,plain,
! [U_2551] :
( ( ! [U_2559] :
( ( ! [U_2557] :
( U_2557 = k1_funct_1(U_2551,U_2559)
| U_2557 != k1_xboole_0 )
& ! [U_2556] :
( U_2556 = k1_xboole_0
| U_2556 != k1_funct_1(U_2551,U_2559) ) )
| r2_hidden(U_2559,k1_relat_1(U_2551)) )
& ! [U_2558] :
( ( ! [U_2555] :
( U_2555 = k1_funct_1(U_2551,U_2558)
| ~ r2_hidden(k4_tarski(U_2558,U_2555),U_2551) )
& ! [U_2554] :
( r2_hidden(k4_tarski(U_2558,U_2554),U_2551)
| U_2554 != k1_funct_1(U_2551,U_2558) ) )
| ~ r2_hidden(U_2558,k1_relat_1(U_2551)) ) )
| ~ v1_funct_1(U_2551)
| ~ v1_relat_1(U_2551) ),
inference(miniscope,[status(thm)],[f_838_2]) ).
fof(f_838_4,plain,
( ! [U_2556,U_2557,U_2551,U_2559] :
( U_2557 = k1_funct_1(U_2551,U_2559)
| U_2557 != k1_xboole_0
| ~ sP294(U_2556,U_2557,U_2551,U_2559) )
& ! [U_2556,U_2557,U_2551,U_2559] :
( U_2556 = k1_xboole_0
| U_2556 != k1_funct_1(U_2551,U_2559)
| ~ sP294(U_2556,U_2557,U_2551,U_2559) )
& ! [U_2555,U_2551,U_2558,U_2554] :
( U_2555 = k1_funct_1(U_2551,U_2558)
| ~ r2_hidden(k4_tarski(U_2558,U_2555),U_2551)
| ~ sP293(U_2555,U_2551,U_2558,U_2554) )
& ! [U_2555,U_2551,U_2558,U_2554] :
( r2_hidden(k4_tarski(U_2558,U_2554),U_2551)
| U_2554 != k1_funct_1(U_2551,U_2558)
| ~ sP293(U_2555,U_2551,U_2558,U_2554) )
& ! [U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554] :
( sP294(U_2556,U_2557,U_2551,U_2559)
| r2_hidden(U_2559,k1_relat_1(U_2551))
| ~ sP295(U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554) )
& ! [U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554] :
( sP293(U_2555,U_2551,U_2558,U_2554)
| ~ r2_hidden(U_2558,k1_relat_1(U_2551))
| ~ sP295(U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554) )
& ! [U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554] :
( sP295(U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554)
| ~ v1_funct_1(U_2551)
| ~ v1_relat_1(U_2551) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP293,sP294,sP295])],[f_838_3]) ).
cnf(f_838_5,plain,
( sP295(U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554)
| ~ v1_funct_1(U_2551)
| ~ v1_relat_1(U_2551) ),
inference(clausify,[status(thm)],[f_838_4]) ).
cnf(f_838_6,plain,
( sP293(U_2555,U_2551,U_2558,U_2554)
| ~ r2_hidden(U_2558,k1_relat_1(U_2551))
| ~ sP295(U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554) ),
inference(clausify,[status(thm)],[f_838_4]) ).
cnf(f_838_7,plain,
( sP294(U_2556,U_2557,U_2551,U_2559)
| r2_hidden(U_2559,k1_relat_1(U_2551))
| ~ sP295(U_2556,U_2557,U_2555,U_2551,U_2558,U_2559,U_2554) ),
inference(clausify,[status(thm)],[f_838_4]) ).
cnf(f_838_8,plain,
( r2_hidden(k4_tarski(U_2558,U_2554),U_2551)
| U_2554 != k1_funct_1(U_2551,U_2558)
| ~ sP293(U_2555,U_2551,U_2558,U_2554) ),
inference(clausify,[status(thm)],[f_838_4]) ).
cnf(f_838_9,plain,
( U_2555 = k1_funct_1(U_2551,U_2558)
| ~ r2_hidden(k4_tarski(U_2558,U_2555),U_2551)
| ~ sP293(U_2555,U_2551,U_2558,U_2554) ),
inference(clausify,[status(thm)],[f_838_4]) ).
cnf(f_838_10,plain,
( U_2556 = k1_xboole_0
| U_2556 != k1_funct_1(U_2551,U_2559)
| ~ sP294(U_2556,U_2557,U_2551,U_2559) ),
inference(clausify,[status(thm)],[f_838_4]) ).
cnf(f_838_11,plain,
( U_2557 = k1_funct_1(U_2551,U_2559)
| U_2557 != k1_xboole_0
| ~ sP294(U_2556,U_2557,U_2551,U_2559) ),
inference(clausify,[status(thm)],[f_838_4]) ).
fof(f_839_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_funct_1]) ).
fof(f_839_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_839_1]) ).
cnf(f_839_3,plain,
$true,
inference(clausify,[status(thm)],[f_839_2]) ).
fof(f_840_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_funct_1]) ).
fof(f_840_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_840_1]) ).
cnf(f_840_3,plain,
$true,
inference(clausify,[status(thm)],[f_840_2]) ).
fof(f_841_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_funct_1]) ).
fof(f_841_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_841_1]) ).
cnf(f_841_3,plain,
$true,
inference(clausify,[status(thm)],[f_841_2]) ).
fof(f_842_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_funct_1]) ).
fof(f_842_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_842_1]) ).
cnf(f_842_3,plain,
$true,
inference(clausify,[status(thm)],[f_842_2]) ).
fof(f_843_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_funct_1]) ).
fof(f_843_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_843_1]) ).
cnf(f_843_3,plain,
$true,
inference(clausify,[status(thm)],[f_843_2]) ).
fof(f_844_1,plain,
! [A,B,C] :
( ( ( r2_hidden(k4_tarski(A,B),C)
| B != k1_funct_1(C,A)
| ~ r2_hidden(A,k1_relat_1(C)) )
& ( ( B = k1_funct_1(C,A)
& r2_hidden(A,k1_relat_1(C)) )
| ~ r2_hidden(k4_tarski(A,B),C) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t8_funct_1]) ).
fof(f_844_2,plain,
! [U_2562,U_2561,U_2560] :
( ( ( r2_hidden(k4_tarski(U_2562,U_2561),U_2560)
| U_2561 != k1_funct_1(U_2560,U_2562)
| ~ r2_hidden(U_2562,k1_relat_1(U_2560)) )
& ( ( U_2561 = k1_funct_1(U_2560,U_2562)
& r2_hidden(U_2562,k1_relat_1(U_2560)) )
| ~ r2_hidden(k4_tarski(U_2562,U_2561),U_2560) ) )
| ~ v1_funct_1(U_2560)
| ~ v1_relat_1(U_2560) ),
inference(variable_rename,[status(thm)],[f_844_1]) ).
fof(f_844_3,plain,
( ! [U_2562,U_2561,U_2560] :
( U_2561 = k1_funct_1(U_2560,U_2562)
| ~ sP296(U_2562,U_2561,U_2560) )
& ! [U_2562,U_2561,U_2560] :
( r2_hidden(U_2562,k1_relat_1(U_2560))
| ~ sP296(U_2562,U_2561,U_2560) )
& ! [U_2562,U_2561,U_2560] :
( r2_hidden(k4_tarski(U_2562,U_2561),U_2560)
| U_2561 != k1_funct_1(U_2560,U_2562)
| ~ r2_hidden(U_2562,k1_relat_1(U_2560))
| ~ sP297(U_2562,U_2561,U_2560) )
& ! [U_2562,U_2561,U_2560] :
( sP296(U_2562,U_2561,U_2560)
| ~ r2_hidden(k4_tarski(U_2562,U_2561),U_2560)
| ~ sP297(U_2562,U_2561,U_2560) )
& ! [U_2562,U_2561,U_2560] :
( sP297(U_2562,U_2561,U_2560)
| ~ v1_funct_1(U_2560)
| ~ v1_relat_1(U_2560) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP296,sP297])],[f_844_2]) ).
cnf(f_844_4,plain,
( sP297(U_2562,U_2561,U_2560)
| ~ v1_funct_1(U_2560)
| ~ v1_relat_1(U_2560) ),
inference(clausify,[status(thm)],[f_844_3]) ).
cnf(f_844_5,plain,
( sP296(U_2562,U_2561,U_2560)
| ~ r2_hidden(k4_tarski(U_2562,U_2561),U_2560)
| ~ sP297(U_2562,U_2561,U_2560) ),
inference(clausify,[status(thm)],[f_844_3]) ).
cnf(f_844_6,plain,
( r2_hidden(k4_tarski(U_2562,U_2561),U_2560)
| U_2561 != k1_funct_1(U_2560,U_2562)
| ~ r2_hidden(U_2562,k1_relat_1(U_2560))
| ~ sP297(U_2562,U_2561,U_2560) ),
inference(clausify,[status(thm)],[f_844_3]) ).
cnf(f_844_7,plain,
( r2_hidden(U_2562,k1_relat_1(U_2560))
| ~ sP296(U_2562,U_2561,U_2560) ),
inference(clausify,[status(thm)],[f_844_3]) ).
cnf(f_844_8,plain,
( U_2561 = k1_funct_1(U_2560,U_2562)
| ~ sP296(U_2562,U_2561,U_2560) ),
inference(clausify,[status(thm)],[f_844_3]) ).
fof(f_845_1,plain,
! [A] :
( ! [B] :
( A = B
| ? [C] :
( k1_funct_1(A,C) != k1_funct_1(B,C)
& r2_hidden(C,k1_relat_1(A)) )
| k1_relat_1(A) != k1_relat_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t9_funct_1]) ).
fof(f_845_2,plain,
! [U_2565] :
( ! [U_2564] :
( U_2565 = U_2564
| ? [U_2563] :
( k1_funct_1(U_2565,U_2563) != k1_funct_1(U_2564,U_2563)
& r2_hidden(U_2563,k1_relat_1(U_2565)) )
| k1_relat_1(U_2565) != k1_relat_1(U_2564)
| ~ v1_funct_1(U_2564)
| ~ v1_relat_1(U_2564) )
| ~ v1_funct_1(U_2565)
| ~ v1_relat_1(U_2565) ),
inference(variable_rename,[status(thm)],[f_845_1]) ).
fof(f_845_3,plain,
! [U_2565] :
( ! [U_2564] :
( U_2565 = U_2564
| ( k1_funct_1(U_2565,sK197(U_2565,U_2564)) != k1_funct_1(U_2564,sK197(U_2565,U_2564))
& r2_hidden(sK197(U_2565,U_2564),k1_relat_1(U_2565)) )
| k1_relat_1(U_2565) != k1_relat_1(U_2564)
| ~ v1_funct_1(U_2564)
| ~ v1_relat_1(U_2564) )
| ~ v1_funct_1(U_2565)
| ~ v1_relat_1(U_2565) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK197]),skolemize(U_2563,sK197(U_2565,U_2564))],[f_845_2]) ).
fof(f_845_4,plain,
( ! [U_2565,U_2564] :
( k1_funct_1(U_2565,sK197(U_2565,U_2564)) != k1_funct_1(U_2564,sK197(U_2565,U_2564))
| ~ sP298(U_2565,U_2564) )
& ! [U_2565,U_2564] :
( r2_hidden(sK197(U_2565,U_2564),k1_relat_1(U_2565))
| ~ sP298(U_2565,U_2564) )
& ! [U_2565,U_2564] :
( U_2565 = U_2564
| sP298(U_2565,U_2564)
| k1_relat_1(U_2565) != k1_relat_1(U_2564)
| ~ v1_funct_1(U_2564)
| ~ v1_relat_1(U_2564)
| ~ v1_funct_1(U_2565)
| ~ v1_relat_1(U_2565) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP298])],[f_845_3]) ).
cnf(f_845_5,plain,
( U_2565 = U_2564
| sP298(U_2565,U_2564)
| k1_relat_1(U_2565) != k1_relat_1(U_2564)
| ~ v1_funct_1(U_2564)
| ~ v1_relat_1(U_2564)
| ~ v1_funct_1(U_2565)
| ~ v1_relat_1(U_2565) ),
inference(clausify,[status(thm)],[f_845_4]) ).
cnf(f_845_6,plain,
( r2_hidden(sK197(U_2565,U_2564),k1_relat_1(U_2565))
| ~ sP298(U_2565,U_2564) ),
inference(clausify,[status(thm)],[f_845_4]) ).
cnf(f_845_7,plain,
( k1_funct_1(U_2565,sK197(U_2565,U_2564)) != k1_funct_1(U_2564,sK197(U_2565,U_2564))
| ~ sP298(U_2565,U_2564) ),
inference(clausify,[status(thm)],[f_845_4]) ).
fof(f_846_1,plain,
! [A] :
( ! [B] :
( ( B = k2_relat_1(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& ? [D] :
( C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) ) )
| ( ! [D] :
( C != k1_funct_1(A,D)
| ~ r2_hidden(D,k1_relat_1(A)) )
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ! [D] :
( C != k1_funct_1(A,D)
| ~ r2_hidden(D,k1_relat_1(A)) ) )
& ( ? [D] :
( C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) )
| ~ r2_hidden(C,B) ) )
| B != k2_relat_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d5_funct_1]) ).
fof(f_846_2,plain,
! [U_2573] :
( ! [U_2572] :
( ( U_2572 = k2_relat_1(U_2573)
| ? [U_2571] :
( ( ~ r2_hidden(U_2571,U_2572)
& ? [U_2570] :
( U_2571 = k1_funct_1(U_2573,U_2570)
& r2_hidden(U_2570,k1_relat_1(U_2573)) ) )
| ( ! [U_2569] :
( U_2571 != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573)) )
& r2_hidden(U_2571,U_2572) ) ) )
& ( ! [U_2568] :
( ( r2_hidden(U_2568,U_2572)
| ! [U_2567] :
( U_2568 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573)) ) )
& ( ? [U_2566] :
( U_2568 = k1_funct_1(U_2573,U_2566)
& r2_hidden(U_2566,k1_relat_1(U_2573)) )
| ~ r2_hidden(U_2568,U_2572) ) )
| U_2572 != k2_relat_1(U_2573) ) )
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(variable_rename,[status(thm)],[f_846_1]) ).
fof(f_846_3,plain,
! [U_2573] :
( ( ! [U_2579] :
( U_2579 = k2_relat_1(U_2573)
| ? [U_2577] :
( ~ r2_hidden(U_2577,U_2579)
& ? [U_2570] :
( U_2577 = k1_funct_1(U_2573,U_2570)
& r2_hidden(U_2570,k1_relat_1(U_2573)) ) )
| ? [U_2576] :
( ! [U_2569] :
( U_2576 != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573)) )
& r2_hidden(U_2576,U_2579) ) )
& ! [U_2578] :
( ( ! [U_2575] :
( r2_hidden(U_2575,U_2578)
| ! [U_2567] :
( U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573)) ) )
& ! [U_2574] :
( ? [U_2566] :
( U_2574 = k1_funct_1(U_2573,U_2566)
& r2_hidden(U_2566,k1_relat_1(U_2573)) )
| ~ r2_hidden(U_2574,U_2578) ) )
| U_2578 != k2_relat_1(U_2573) ) )
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(miniscope,[status(thm)],[f_846_2]) ).
fof(f_846_4,plain,
! [U_2573] :
( ( ! [U_2579] :
( U_2579 = k2_relat_1(U_2573)
| ? [U_2577] :
( ~ r2_hidden(U_2577,U_2579)
& ? [U_2570] :
( U_2577 = k1_funct_1(U_2573,U_2570)
& r2_hidden(U_2570,k1_relat_1(U_2573)) ) )
| ? [U_2576] :
( ! [U_2569] :
( U_2576 != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573)) )
& r2_hidden(U_2576,U_2579) ) )
& ! [U_2578] :
( ( ! [U_2575] :
( r2_hidden(U_2575,U_2578)
| ! [U_2567] :
( U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573)) ) )
& ! [U_2574] :
( ( U_2574 = k1_funct_1(U_2573,sK198(U_2573,U_2578,U_2574))
& r2_hidden(sK198(U_2573,U_2578,U_2574),k1_relat_1(U_2573)) )
| ~ r2_hidden(U_2574,U_2578) ) )
| U_2578 != k2_relat_1(U_2573) ) )
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK198]),skolemize(U_2566,sK198(U_2573,U_2578,U_2574))],[f_846_3]) ).
fof(f_846_5,plain,
! [U_2573] :
( ( ! [U_2579] :
( U_2579 = k2_relat_1(U_2573)
| ? [U_2577] :
( ~ r2_hidden(U_2577,U_2579)
& ? [U_2570] :
( U_2577 = k1_funct_1(U_2573,U_2570)
& r2_hidden(U_2570,k1_relat_1(U_2573)) ) )
| ( ! [U_2569] :
( sK199(U_2573,U_2579) != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573)) )
& r2_hidden(sK199(U_2573,U_2579),U_2579) ) )
& ! [U_2578] :
( ( ! [U_2575] :
( r2_hidden(U_2575,U_2578)
| ! [U_2567] :
( U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573)) ) )
& ! [U_2574] :
( ( U_2574 = k1_funct_1(U_2573,sK198(U_2573,U_2578,U_2574))
& r2_hidden(sK198(U_2573,U_2578,U_2574),k1_relat_1(U_2573)) )
| ~ r2_hidden(U_2574,U_2578) ) )
| U_2578 != k2_relat_1(U_2573) ) )
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199]),skolemize(U_2576,sK199(U_2573,U_2579))],[f_846_4]) ).
fof(f_846_6,plain,
! [U_2573] :
( ( ! [U_2579] :
( U_2579 = k2_relat_1(U_2573)
| ( ~ r2_hidden(sK200(U_2573,U_2579),U_2579)
& ? [U_2570] :
( sK200(U_2573,U_2579) = k1_funct_1(U_2573,U_2570)
& r2_hidden(U_2570,k1_relat_1(U_2573)) ) )
| ( ! [U_2569] :
( sK199(U_2573,U_2579) != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573)) )
& r2_hidden(sK199(U_2573,U_2579),U_2579) ) )
& ! [U_2578] :
( ( ! [U_2575] :
( r2_hidden(U_2575,U_2578)
| ! [U_2567] :
( U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573)) ) )
& ! [U_2574] :
( ( U_2574 = k1_funct_1(U_2573,sK198(U_2573,U_2578,U_2574))
& r2_hidden(sK198(U_2573,U_2578,U_2574),k1_relat_1(U_2573)) )
| ~ r2_hidden(U_2574,U_2578) ) )
| U_2578 != k2_relat_1(U_2573) ) )
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK200]),skolemize(U_2577,sK200(U_2573,U_2579))],[f_846_5]) ).
fof(f_846_7,plain,
! [U_2573] :
( ( ! [U_2579] :
( U_2579 = k2_relat_1(U_2573)
| ( ~ r2_hidden(sK200(U_2573,U_2579),U_2579)
& sK200(U_2573,U_2579) = k1_funct_1(U_2573,sK201(U_2573,U_2579))
& r2_hidden(sK201(U_2573,U_2579),k1_relat_1(U_2573)) )
| ( ! [U_2569] :
( sK199(U_2573,U_2579) != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573)) )
& r2_hidden(sK199(U_2573,U_2579),U_2579) ) )
& ! [U_2578] :
( ( ! [U_2575] :
( r2_hidden(U_2575,U_2578)
| ! [U_2567] :
( U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573)) ) )
& ! [U_2574] :
( ( U_2574 = k1_funct_1(U_2573,sK198(U_2573,U_2578,U_2574))
& r2_hidden(sK198(U_2573,U_2578,U_2574),k1_relat_1(U_2573)) )
| ~ r2_hidden(U_2574,U_2578) ) )
| U_2578 != k2_relat_1(U_2573) ) )
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK201]),skolemize(U_2570,sK201(U_2573,U_2579))],[f_846_6]) ).
fof(f_846_8,plain,
( ! [U_2573,U_2579] :
( ~ r2_hidden(sK200(U_2573,U_2579),U_2579)
| ~ sP302(U_2573,U_2579) )
& ! [U_2573,U_2579] :
( sK200(U_2573,U_2579) = k1_funct_1(U_2573,sK201(U_2573,U_2579))
| ~ sP302(U_2573,U_2579) )
& ! [U_2573,U_2579] :
( r2_hidden(sK201(U_2573,U_2579),k1_relat_1(U_2573))
| ~ sP302(U_2573,U_2579) )
& ! [U_2573,U_2579,U_2569] :
( sK199(U_2573,U_2579) != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573))
| ~ sP301(U_2573,U_2579,U_2569) )
& ! [U_2573,U_2579,U_2569] :
( r2_hidden(sK199(U_2573,U_2579),U_2579)
| ~ sP301(U_2573,U_2579,U_2569) )
& ! [U_2573,U_2574,U_2578] :
( U_2574 = k1_funct_1(U_2573,sK198(U_2573,U_2578,U_2574))
| ~ sP299(U_2573,U_2574,U_2578) )
& ! [U_2573,U_2574,U_2578] :
( r2_hidden(sK198(U_2573,U_2578,U_2574),k1_relat_1(U_2573))
| ~ sP299(U_2573,U_2574,U_2578) )
& ! [U_2573,U_2567,U_2575,U_2574,U_2578] :
( r2_hidden(U_2575,U_2578)
| U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573))
| ~ sP300(U_2573,U_2567,U_2575,U_2574,U_2578) )
& ! [U_2573,U_2567,U_2575,U_2574,U_2578] :
( sP299(U_2573,U_2574,U_2578)
| ~ r2_hidden(U_2574,U_2578)
| ~ sP300(U_2573,U_2567,U_2575,U_2574,U_2578) )
& ! [U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578] :
( U_2579 = k2_relat_1(U_2573)
| sP302(U_2573,U_2579)
| sP301(U_2573,U_2579,U_2569)
| ~ sP303(U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578) )
& ! [U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578] :
( sP300(U_2573,U_2567,U_2575,U_2574,U_2578)
| U_2578 != k2_relat_1(U_2573)
| ~ sP303(U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578) )
& ! [U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578] :
( sP303(U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578)
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP299,sP300,sP301,sP302,sP303])],[f_846_7]) ).
cnf(f_846_9,plain,
( sP303(U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578)
| ~ v1_funct_1(U_2573)
| ~ v1_relat_1(U_2573) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_10,plain,
( sP300(U_2573,U_2567,U_2575,U_2574,U_2578)
| U_2578 != k2_relat_1(U_2573)
| ~ sP303(U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_11,plain,
( U_2579 = k2_relat_1(U_2573)
| sP302(U_2573,U_2579)
| sP301(U_2573,U_2579,U_2569)
| ~ sP303(U_2573,U_2579,U_2569,U_2567,U_2575,U_2574,U_2578) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_12,plain,
( sP299(U_2573,U_2574,U_2578)
| ~ r2_hidden(U_2574,U_2578)
| ~ sP300(U_2573,U_2567,U_2575,U_2574,U_2578) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_13,plain,
( r2_hidden(U_2575,U_2578)
| U_2575 != k1_funct_1(U_2573,U_2567)
| ~ r2_hidden(U_2567,k1_relat_1(U_2573))
| ~ sP300(U_2573,U_2567,U_2575,U_2574,U_2578) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_14,plain,
( r2_hidden(sK198(U_2573,U_2578,U_2574),k1_relat_1(U_2573))
| ~ sP299(U_2573,U_2574,U_2578) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_15,plain,
( U_2574 = k1_funct_1(U_2573,sK198(U_2573,U_2578,U_2574))
| ~ sP299(U_2573,U_2574,U_2578) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_16,plain,
( r2_hidden(sK199(U_2573,U_2579),U_2579)
| ~ sP301(U_2573,U_2579,U_2569) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_17,plain,
( sK199(U_2573,U_2579) != k1_funct_1(U_2573,U_2569)
| ~ r2_hidden(U_2569,k1_relat_1(U_2573))
| ~ sP301(U_2573,U_2579,U_2569) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_18,plain,
( r2_hidden(sK201(U_2573,U_2579),k1_relat_1(U_2573))
| ~ sP302(U_2573,U_2579) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_19,plain,
( sK200(U_2573,U_2579) = k1_funct_1(U_2573,sK201(U_2573,U_2579))
| ~ sP302(U_2573,U_2579) ),
inference(clausify,[status(thm)],[f_846_8]) ).
cnf(f_846_20,plain,
( ~ r2_hidden(sK200(U_2573,U_2579),U_2579)
| ~ sP302(U_2573,U_2579) ),
inference(clausify,[status(thm)],[f_846_8]) ).
fof(f_847_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_funct_1]) ).
fof(f_847_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_847_1]) ).
cnf(f_847_3,plain,
$true,
inference(clausify,[status(thm)],[f_847_2]) ).
fof(f_848_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_funct_1]) ).
fof(f_848_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_848_1]) ).
cnf(f_848_3,plain,
$true,
inference(clausify,[status(thm)],[f_848_2]) ).
fof(f_849_1,plain,
! [A,B] :
( r2_hidden(k1_funct_1(B,A),k2_relat_1(B))
| ~ r2_hidden(A,k1_relat_1(B))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t12_funct_1]) ).
fof(f_849_2,plain,
! [U_2581,U_2580] :
( r2_hidden(k1_funct_1(U_2580,U_2581),k2_relat_1(U_2580))
| ~ r2_hidden(U_2581,k1_relat_1(U_2580))
| ~ v1_funct_1(U_2580)
| ~ v1_relat_1(U_2580) ),
inference(variable_rename,[status(thm)],[f_849_1]) ).
fof(f_849_3,plain,
! [U_2580,U_2581] :
( r2_hidden(k1_funct_1(U_2580,U_2581),k2_relat_1(U_2580))
| ~ r2_hidden(U_2581,k1_relat_1(U_2580))
| ~ v1_funct_1(U_2580)
| ~ v1_relat_1(U_2580) ),
inference(definitional_conversion,[status(esa)],[f_849_2]) ).
cnf(f_849_4,plain,
( r2_hidden(k1_funct_1(U_2580,U_2581),k2_relat_1(U_2580))
| ~ r2_hidden(U_2581,k1_relat_1(U_2580))
| ~ v1_funct_1(U_2580)
| ~ v1_relat_1(U_2580) ),
inference(clausify,[status(thm)],[f_849_3]) ).
fof(f_850_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_funct_1]) ).
fof(f_850_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_850_1]) ).
cnf(f_850_3,plain,
$true,
inference(clausify,[status(thm)],[f_850_2]) ).
fof(f_851_1,plain,
! [A,B] :
( k2_relat_1(B) = k1_tarski(k1_funct_1(B,A))
| k1_relat_1(B) != k1_tarski(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t14_funct_1]) ).
fof(f_851_2,plain,
! [U_2583,U_2582] :
( k2_relat_1(U_2582) = k1_tarski(k1_funct_1(U_2582,U_2583))
| k1_relat_1(U_2582) != k1_tarski(U_2583)
| ~ v1_funct_1(U_2582)
| ~ v1_relat_1(U_2582) ),
inference(variable_rename,[status(thm)],[f_851_1]) ).
fof(f_851_3,plain,
! [U_2582,U_2583] :
( k2_relat_1(U_2582) = k1_tarski(k1_funct_1(U_2582,U_2583))
| k1_relat_1(U_2582) != k1_tarski(U_2583)
| ~ v1_funct_1(U_2582)
| ~ v1_relat_1(U_2582) ),
inference(definitional_conversion,[status(esa)],[f_851_2]) ).
cnf(f_851_4,plain,
( k2_relat_1(U_2582) = k1_tarski(k1_funct_1(U_2582,U_2583))
| k1_relat_1(U_2582) != k1_tarski(U_2583)
| ~ v1_funct_1(U_2582)
| ~ v1_relat_1(U_2582) ),
inference(clausify,[status(thm)],[f_851_3]) ).
fof(f_852_1,plain,
! [A] :
( ! [B] :
? [C] :
( k2_relat_1(C) = k1_tarski(B)
& k1_relat_1(C) = A
& v1_funct_1(C)
& v1_relat_1(C) )
| A = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t15_funct_1]) ).
fof(f_852_2,plain,
! [U_2586] :
( ! [U_2585] :
? [U_2584] :
( k2_relat_1(U_2584) = k1_tarski(U_2585)
& k1_relat_1(U_2584) = U_2586
& v1_funct_1(U_2584)
& v1_relat_1(U_2584) )
| U_2586 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_852_1]) ).
fof(f_852_3,plain,
! [U_2586] :
( ! [U_2585] :
( k2_relat_1(sK202(U_2586,U_2585)) = k1_tarski(U_2585)
& k1_relat_1(sK202(U_2586,U_2585)) = U_2586
& v1_funct_1(sK202(U_2586,U_2585))
& v1_relat_1(sK202(U_2586,U_2585)) )
| U_2586 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK202]),skolemize(U_2584,sK202(U_2586,U_2585))],[f_852_2]) ).
fof(f_852_4,plain,
( ! [U_2586,U_2585] :
( k2_relat_1(sK202(U_2586,U_2585)) = k1_tarski(U_2585)
| ~ sP304(U_2586,U_2585) )
& ! [U_2586,U_2585] :
( k1_relat_1(sK202(U_2586,U_2585)) = U_2586
| ~ sP304(U_2586,U_2585) )
& ! [U_2586,U_2585] :
( v1_funct_1(sK202(U_2586,U_2585))
| ~ sP304(U_2586,U_2585) )
& ! [U_2586,U_2585] :
( v1_relat_1(sK202(U_2586,U_2585))
| ~ sP304(U_2586,U_2585) )
& ! [U_2586,U_2585] :
( sP304(U_2586,U_2585)
| U_2586 = k1_xboole_0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP304])],[f_852_3]) ).
cnf(f_852_5,plain,
( sP304(U_2586,U_2585)
| U_2586 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_852_4]) ).
cnf(f_852_6,plain,
( v1_relat_1(sK202(U_2586,U_2585))
| ~ sP304(U_2586,U_2585) ),
inference(clausify,[status(thm)],[f_852_4]) ).
cnf(f_852_7,plain,
( v1_funct_1(sK202(U_2586,U_2585))
| ~ sP304(U_2586,U_2585) ),
inference(clausify,[status(thm)],[f_852_4]) ).
cnf(f_852_8,plain,
( k1_relat_1(sK202(U_2586,U_2585)) = U_2586
| ~ sP304(U_2586,U_2585) ),
inference(clausify,[status(thm)],[f_852_4]) ).
cnf(f_852_9,plain,
( k2_relat_1(sK202(U_2586,U_2585)) = k1_tarski(U_2585)
| ~ sP304(U_2586,U_2585) ),
inference(clausify,[status(thm)],[f_852_4]) ).
fof(f_853_1,plain,
! [A] :
( A = k1_xboole_0
| ? [B] :
( ? [C] :
( B != C
& k1_relat_1(C) = A
& k1_relat_1(B) = A
& v1_funct_1(C)
& v1_relat_1(C) )
& v1_funct_1(B)
& v1_relat_1(B) ) ),
inference(fof_nnf,[status(thm)],[t16_funct_1]) ).
fof(f_853_2,plain,
! [U_2589] :
( U_2589 = k1_xboole_0
| ? [U_2588] :
( ? [U_2587] :
( U_2588 != U_2587
& k1_relat_1(U_2587) = U_2589
& k1_relat_1(U_2588) = U_2589
& v1_funct_1(U_2587)
& v1_relat_1(U_2587) )
& v1_funct_1(U_2588)
& v1_relat_1(U_2588) ) ),
inference(variable_rename,[status(thm)],[f_853_1]) ).
fof(f_853_3,plain,
! [U_2589] :
( U_2589 = k1_xboole_0
| ( ? [U_2587] :
( sK203(U_2589) != U_2587
& k1_relat_1(U_2587) = U_2589
& k1_relat_1(sK203(U_2589)) = U_2589
& v1_funct_1(U_2587)
& v1_relat_1(U_2587) )
& v1_funct_1(sK203(U_2589))
& v1_relat_1(sK203(U_2589)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK203]),skolemize(U_2588,sK203(U_2589))],[f_853_2]) ).
fof(f_853_4,plain,
! [U_2589] :
( U_2589 = k1_xboole_0
| ( sK203(U_2589) != sK204(U_2589)
& k1_relat_1(sK204(U_2589)) = U_2589
& k1_relat_1(sK203(U_2589)) = U_2589
& v1_funct_1(sK204(U_2589))
& v1_relat_1(sK204(U_2589))
& v1_funct_1(sK203(U_2589))
& v1_relat_1(sK203(U_2589)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK204]),skolemize(U_2587,sK204(U_2589))],[f_853_3]) ).
fof(f_853_5,plain,
( ! [U_2589] :
( sK203(U_2589) != sK204(U_2589)
| ~ sP305(U_2589) )
& ! [U_2589] :
( k1_relat_1(sK204(U_2589)) = U_2589
| ~ sP305(U_2589) )
& ! [U_2589] :
( k1_relat_1(sK203(U_2589)) = U_2589
| ~ sP305(U_2589) )
& ! [U_2589] :
( v1_funct_1(sK204(U_2589))
| ~ sP305(U_2589) )
& ! [U_2589] :
( v1_relat_1(sK204(U_2589))
| ~ sP305(U_2589) )
& ! [U_2589] :
( v1_funct_1(sK203(U_2589))
| ~ sP305(U_2589) )
& ! [U_2589] :
( v1_relat_1(sK203(U_2589))
| ~ sP305(U_2589) )
& ! [U_2589] :
( U_2589 = k1_xboole_0
| sP305(U_2589) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP305])],[f_853_4]) ).
cnf(f_853_6,plain,
( U_2589 = k1_xboole_0
| sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_7,plain,
( v1_relat_1(sK203(U_2589))
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_8,plain,
( v1_funct_1(sK203(U_2589))
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_9,plain,
( v1_relat_1(sK204(U_2589))
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_10,plain,
( v1_funct_1(sK204(U_2589))
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_11,plain,
( k1_relat_1(sK203(U_2589)) = U_2589
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_12,plain,
( k1_relat_1(sK204(U_2589)) = U_2589
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
cnf(f_853_13,plain,
( sK203(U_2589) != sK204(U_2589)
| ~ sP305(U_2589) ),
inference(clausify,[status(thm)],[f_853_5]) ).
fof(f_854_1,plain,
! [A,B] :
( ! [C] :
( B = C
| k2_relat_1(C) != k1_tarski(A)
| k2_relat_1(B) != k1_tarski(A)
| k1_relat_1(B) != k1_relat_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t17_funct_1]) ).
fof(f_854_2,plain,
! [U_2592,U_2591] :
( ! [U_2590] :
( U_2591 = U_2590
| k2_relat_1(U_2590) != k1_tarski(U_2592)
| k2_relat_1(U_2591) != k1_tarski(U_2592)
| k1_relat_1(U_2591) != k1_relat_1(U_2590)
| ~ v1_funct_1(U_2590)
| ~ v1_relat_1(U_2590) )
| ~ v1_funct_1(U_2591)
| ~ v1_relat_1(U_2591) ),
inference(variable_rename,[status(thm)],[f_854_1]) ).
fof(f_854_3,plain,
! [U_2590,U_2592,U_2591] :
( U_2591 = U_2590
| k2_relat_1(U_2590) != k1_tarski(U_2592)
| k2_relat_1(U_2591) != k1_tarski(U_2592)
| k1_relat_1(U_2591) != k1_relat_1(U_2590)
| ~ v1_funct_1(U_2590)
| ~ v1_relat_1(U_2590)
| ~ v1_funct_1(U_2591)
| ~ v1_relat_1(U_2591) ),
inference(definitional_conversion,[status(esa)],[f_854_2]) ).
cnf(f_854_4,plain,
( U_2591 = U_2590
| k2_relat_1(U_2590) != k1_tarski(U_2592)
| k2_relat_1(U_2591) != k1_tarski(U_2592)
| k1_relat_1(U_2591) != k1_relat_1(U_2590)
| ~ v1_funct_1(U_2590)
| ~ v1_relat_1(U_2590)
| ~ v1_funct_1(U_2591)
| ~ v1_relat_1(U_2591) ),
inference(clausify,[status(thm)],[f_854_3]) ).
fof(f_855_1,plain,
! [A,B] :
( ? [C] :
( r1_tarski(k2_relat_1(C),A)
& B = k1_relat_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
| ( B != k1_xboole_0
& A = k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[t18_funct_1]) ).
fof(f_855_2,plain,
! [U_2595,U_2594] :
( ? [U_2593] :
( r1_tarski(k2_relat_1(U_2593),U_2595)
& U_2594 = k1_relat_1(U_2593)
& v1_funct_1(U_2593)
& v1_relat_1(U_2593) )
| ( U_2594 != k1_xboole_0
& U_2595 = k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_855_1]) ).
fof(f_855_3,plain,
! [U_2595,U_2594] :
( ( r1_tarski(k2_relat_1(sK205(U_2595,U_2594)),U_2595)
& U_2594 = k1_relat_1(sK205(U_2595,U_2594))
& v1_funct_1(sK205(U_2595,U_2594))
& v1_relat_1(sK205(U_2595,U_2594)) )
| ( U_2594 != k1_xboole_0
& U_2595 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK205]),skolemize(U_2593,sK205(U_2595,U_2594))],[f_855_2]) ).
fof(f_855_4,plain,
( ! [U_2594,U_2595] :
( r1_tarski(k2_relat_1(sK205(U_2595,U_2594)),U_2595)
| ~ sP307(U_2594,U_2595) )
& ! [U_2594,U_2595] :
( U_2594 = k1_relat_1(sK205(U_2595,U_2594))
| ~ sP307(U_2594,U_2595) )
& ! [U_2594,U_2595] :
( v1_funct_1(sK205(U_2595,U_2594))
| ~ sP307(U_2594,U_2595) )
& ! [U_2594,U_2595] :
( v1_relat_1(sK205(U_2595,U_2594))
| ~ sP307(U_2594,U_2595) )
& ! [U_2594,U_2595] :
( U_2594 != k1_xboole_0
| ~ sP306(U_2594,U_2595) )
& ! [U_2594,U_2595] :
( U_2595 = k1_xboole_0
| ~ sP306(U_2594,U_2595) )
& ! [U_2594,U_2595] :
( sP307(U_2594,U_2595)
| sP306(U_2594,U_2595) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP306,sP307])],[f_855_3]) ).
cnf(f_855_5,plain,
( sP307(U_2594,U_2595)
| sP306(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
cnf(f_855_6,plain,
( U_2595 = k1_xboole_0
| ~ sP306(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
cnf(f_855_7,plain,
( U_2594 != k1_xboole_0
| ~ sP306(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
cnf(f_855_8,plain,
( v1_relat_1(sK205(U_2595,U_2594))
| ~ sP307(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
cnf(f_855_9,plain,
( v1_funct_1(sK205(U_2595,U_2594))
| ~ sP307(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
cnf(f_855_10,plain,
( U_2594 = k1_relat_1(sK205(U_2595,U_2594))
| ~ sP307(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
cnf(f_855_11,plain,
( r1_tarski(k2_relat_1(sK205(U_2595,U_2594)),U_2595)
| ~ sP307(U_2594,U_2595) ),
inference(clausify,[status(thm)],[f_855_4]) ).
fof(f_856_1,plain,
! [A,B] :
( r1_tarski(A,k2_relat_1(B))
| ? [C] :
( ! [D] :
( C != k1_funct_1(B,D)
| ~ r2_hidden(D,k1_relat_1(B)) )
& r2_hidden(C,A) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t19_funct_1]) ).
fof(f_856_2,plain,
! [U_2599,U_2598] :
( r1_tarski(U_2599,k2_relat_1(U_2598))
| ? [U_2597] :
( ! [U_2596] :
( U_2597 != k1_funct_1(U_2598,U_2596)
| ~ r2_hidden(U_2596,k1_relat_1(U_2598)) )
& r2_hidden(U_2597,U_2599) )
| ~ v1_funct_1(U_2598)
| ~ v1_relat_1(U_2598) ),
inference(variable_rename,[status(thm)],[f_856_1]) ).
fof(f_856_3,plain,
! [U_2599,U_2598] :
( r1_tarski(U_2599,k2_relat_1(U_2598))
| ( ! [U_2596] :
( sK206(U_2599,U_2598) != k1_funct_1(U_2598,U_2596)
| ~ r2_hidden(U_2596,k1_relat_1(U_2598)) )
& r2_hidden(sK206(U_2599,U_2598),U_2599) )
| ~ v1_funct_1(U_2598)
| ~ v1_relat_1(U_2598) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK206]),skolemize(U_2597,sK206(U_2599,U_2598))],[f_856_2]) ).
fof(f_856_4,plain,
( ! [U_2599,U_2598,U_2596] :
( sK206(U_2599,U_2598) != k1_funct_1(U_2598,U_2596)
| ~ r2_hidden(U_2596,k1_relat_1(U_2598))
| ~ sP308(U_2599,U_2598,U_2596) )
& ! [U_2599,U_2598,U_2596] :
( r2_hidden(sK206(U_2599,U_2598),U_2599)
| ~ sP308(U_2599,U_2598,U_2596) )
& ! [U_2599,U_2598,U_2596] :
( r1_tarski(U_2599,k2_relat_1(U_2598))
| sP308(U_2599,U_2598,U_2596)
| ~ v1_funct_1(U_2598)
| ~ v1_relat_1(U_2598) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP308])],[f_856_3]) ).
cnf(f_856_5,plain,
( r1_tarski(U_2599,k2_relat_1(U_2598))
| sP308(U_2599,U_2598,U_2596)
| ~ v1_funct_1(U_2598)
| ~ v1_relat_1(U_2598) ),
inference(clausify,[status(thm)],[f_856_4]) ).
cnf(f_856_6,plain,
( r2_hidden(sK206(U_2599,U_2598),U_2599)
| ~ sP308(U_2599,U_2598,U_2596) ),
inference(clausify,[status(thm)],[f_856_4]) ).
cnf(f_856_7,plain,
( sK206(U_2599,U_2598) != k1_funct_1(U_2598,U_2596)
| ~ r2_hidden(U_2596,k1_relat_1(U_2598))
| ~ sP308(U_2599,U_2598,U_2596) ),
inference(clausify,[status(thm)],[f_856_4]) ).
fof(f_857_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k5_relat_1(A,B)
| ? [D] :
( k1_funct_1(C,D) != k1_funct_1(B,k1_funct_1(A,D))
& r2_hidden(D,k1_relat_1(C)) )
| ? [D] :
( ( ~ r2_hidden(D,k1_relat_1(C))
& r2_hidden(k1_funct_1(A,D),k1_relat_1(B))
& r2_hidden(D,k1_relat_1(A)) )
| ( ( ~ r2_hidden(k1_funct_1(A,D),k1_relat_1(B))
| ~ r2_hidden(D,k1_relat_1(A)) )
& r2_hidden(D,k1_relat_1(C)) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t20_funct_1]) ).
fof(f_857_2,plain,
! [U_2604] :
( ! [U_2603] :
( ! [U_2602] :
( U_2602 = k5_relat_1(U_2604,U_2603)
| ? [U_2601] :
( k1_funct_1(U_2602,U_2601) != k1_funct_1(U_2603,k1_funct_1(U_2604,U_2601))
& r2_hidden(U_2601,k1_relat_1(U_2602)) )
| ? [U_2600] :
( ( ~ r2_hidden(U_2600,k1_relat_1(U_2602))
& r2_hidden(k1_funct_1(U_2604,U_2600),k1_relat_1(U_2603))
& r2_hidden(U_2600,k1_relat_1(U_2604)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2604,U_2600),k1_relat_1(U_2603))
| ~ r2_hidden(U_2600,k1_relat_1(U_2604)) )
& r2_hidden(U_2600,k1_relat_1(U_2602)) ) )
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602) )
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603) )
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ),
inference(variable_rename,[status(thm)],[f_857_1]) ).
fof(f_857_3,plain,
! [U_2604] :
( ! [U_2603] :
( ! [U_2602] :
( U_2602 = k5_relat_1(U_2604,U_2603)
| ? [U_2601] :
( k1_funct_1(U_2602,U_2601) != k1_funct_1(U_2603,k1_funct_1(U_2604,U_2601))
& r2_hidden(U_2601,k1_relat_1(U_2602)) )
| ? [U_2606] :
( ~ r2_hidden(U_2606,k1_relat_1(U_2602))
& r2_hidden(k1_funct_1(U_2604,U_2606),k1_relat_1(U_2603))
& r2_hidden(U_2606,k1_relat_1(U_2604)) )
| ? [U_2605] :
( ( ~ r2_hidden(k1_funct_1(U_2604,U_2605),k1_relat_1(U_2603))
| ~ r2_hidden(U_2605,k1_relat_1(U_2604)) )
& r2_hidden(U_2605,k1_relat_1(U_2602)) )
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602) )
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603) )
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ),
inference(miniscope,[status(thm)],[f_857_2]) ).
fof(f_857_4,plain,
! [U_2604] :
( ! [U_2603] :
( ! [U_2602] :
( U_2602 = k5_relat_1(U_2604,U_2603)
| ? [U_2601] :
( k1_funct_1(U_2602,U_2601) != k1_funct_1(U_2603,k1_funct_1(U_2604,U_2601))
& r2_hidden(U_2601,k1_relat_1(U_2602)) )
| ? [U_2606] :
( ~ r2_hidden(U_2606,k1_relat_1(U_2602))
& r2_hidden(k1_funct_1(U_2604,U_2606),k1_relat_1(U_2603))
& r2_hidden(U_2606,k1_relat_1(U_2604)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2604,sK207(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2604)) )
& r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2602)) )
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602) )
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603) )
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK207]),skolemize(U_2605,sK207(U_2604,U_2603,U_2602))],[f_857_3]) ).
fof(f_857_5,plain,
! [U_2604] :
( ! [U_2603] :
( ! [U_2602] :
( U_2602 = k5_relat_1(U_2604,U_2603)
| ? [U_2601] :
( k1_funct_1(U_2602,U_2601) != k1_funct_1(U_2603,k1_funct_1(U_2604,U_2601))
& r2_hidden(U_2601,k1_relat_1(U_2602)) )
| ( ~ r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
& r2_hidden(k1_funct_1(U_2604,sK208(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
& r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2604)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2604,sK207(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2604)) )
& r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2602)) )
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602) )
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603) )
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK208]),skolemize(U_2606,sK208(U_2604,U_2603,U_2602))],[f_857_4]) ).
fof(f_857_6,plain,
! [U_2604] :
( ! [U_2603] :
( ! [U_2602] :
( U_2602 = k5_relat_1(U_2604,U_2603)
| ( k1_funct_1(U_2602,sK209(U_2604,U_2603,U_2602)) != k1_funct_1(U_2603,k1_funct_1(U_2604,sK209(U_2604,U_2603,U_2602)))
& r2_hidden(sK209(U_2604,U_2603,U_2602),k1_relat_1(U_2602)) )
| ( ~ r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
& r2_hidden(k1_funct_1(U_2604,sK208(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
& r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2604)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2604,sK207(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2604)) )
& r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2602)) )
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602) )
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603) )
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK209]),skolemize(U_2601,sK209(U_2604,U_2603,U_2602))],[f_857_5]) ).
fof(f_857_7,plain,
( ! [U_2602,U_2603,U_2604] :
( k1_funct_1(U_2602,sK209(U_2604,U_2603,U_2602)) != k1_funct_1(U_2603,k1_funct_1(U_2604,sK209(U_2604,U_2603,U_2602)))
| ~ sP311(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( r2_hidden(sK209(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
| ~ sP311(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( ~ r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
| ~ sP310(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( r2_hidden(k1_funct_1(U_2604,sK208(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ sP310(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2604))
| ~ sP310(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( ~ r2_hidden(k1_funct_1(U_2604,sK207(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2604))
| ~ sP309(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
| ~ sP309(U_2602,U_2603,U_2604) )
& ! [U_2602,U_2603,U_2604] :
( U_2602 = k5_relat_1(U_2604,U_2603)
| sP311(U_2602,U_2603,U_2604)
| sP310(U_2602,U_2603,U_2604)
| sP309(U_2602,U_2603,U_2604)
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602)
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603)
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP309,sP310,sP311])],[f_857_6]) ).
cnf(f_857_8,plain,
( U_2602 = k5_relat_1(U_2604,U_2603)
| sP311(U_2602,U_2603,U_2604)
| sP310(U_2602,U_2603,U_2604)
| sP309(U_2602,U_2603,U_2604)
| ~ v1_funct_1(U_2602)
| ~ v1_relat_1(U_2602)
| ~ v1_funct_1(U_2603)
| ~ v1_relat_1(U_2603)
| ~ v1_funct_1(U_2604)
| ~ v1_relat_1(U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_9,plain,
( r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
| ~ sP309(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_10,plain,
( ~ r2_hidden(k1_funct_1(U_2604,sK207(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ r2_hidden(sK207(U_2604,U_2603,U_2602),k1_relat_1(U_2604))
| ~ sP309(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_11,plain,
( r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2604))
| ~ sP310(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_12,plain,
( r2_hidden(k1_funct_1(U_2604,sK208(U_2604,U_2603,U_2602)),k1_relat_1(U_2603))
| ~ sP310(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_13,plain,
( ~ r2_hidden(sK208(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
| ~ sP310(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_14,plain,
( r2_hidden(sK209(U_2604,U_2603,U_2602),k1_relat_1(U_2602))
| ~ sP311(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
cnf(f_857_15,plain,
( k1_funct_1(U_2602,sK209(U_2604,U_2603,U_2602)) != k1_funct_1(U_2603,k1_funct_1(U_2604,sK209(U_2604,U_2603,U_2602)))
| ~ sP311(U_2602,U_2603,U_2604) ),
inference(clausify,[status(thm)],[f_857_7]) ).
fof(f_858_1,plain,
! [A,B] :
( ! [C] :
( ( ( r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))
| ~ r2_hidden(k1_funct_1(C,A),k1_relat_1(B))
| ~ r2_hidden(A,k1_relat_1(C)) )
& ( ( r2_hidden(k1_funct_1(C,A),k1_relat_1(B))
& r2_hidden(A,k1_relat_1(C)) )
| ~ r2_hidden(A,k1_relat_1(k5_relat_1(C,B))) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t21_funct_1]) ).
fof(f_858_2,plain,
! [U_2609,U_2608] :
( ! [U_2607] :
( ( ( r2_hidden(U_2609,k1_relat_1(k5_relat_1(U_2607,U_2608)))
| ~ r2_hidden(k1_funct_1(U_2607,U_2609),k1_relat_1(U_2608))
| ~ r2_hidden(U_2609,k1_relat_1(U_2607)) )
& ( ( r2_hidden(k1_funct_1(U_2607,U_2609),k1_relat_1(U_2608))
& r2_hidden(U_2609,k1_relat_1(U_2607)) )
| ~ r2_hidden(U_2609,k1_relat_1(k5_relat_1(U_2607,U_2608))) ) )
| ~ v1_funct_1(U_2607)
| ~ v1_relat_1(U_2607) )
| ~ v1_funct_1(U_2608)
| ~ v1_relat_1(U_2608) ),
inference(variable_rename,[status(thm)],[f_858_1]) ).
fof(f_858_3,plain,
( ! [U_2609,U_2608,U_2607] :
( r2_hidden(k1_funct_1(U_2607,U_2609),k1_relat_1(U_2608))
| ~ sP312(U_2609,U_2608,U_2607) )
& ! [U_2609,U_2608,U_2607] :
( r2_hidden(U_2609,k1_relat_1(U_2607))
| ~ sP312(U_2609,U_2608,U_2607) )
& ! [U_2609,U_2608,U_2607] :
( r2_hidden(U_2609,k1_relat_1(k5_relat_1(U_2607,U_2608)))
| ~ r2_hidden(k1_funct_1(U_2607,U_2609),k1_relat_1(U_2608))
| ~ r2_hidden(U_2609,k1_relat_1(U_2607))
| ~ sP313(U_2609,U_2608,U_2607) )
& ! [U_2609,U_2608,U_2607] :
( sP312(U_2609,U_2608,U_2607)
| ~ r2_hidden(U_2609,k1_relat_1(k5_relat_1(U_2607,U_2608)))
| ~ sP313(U_2609,U_2608,U_2607) )
& ! [U_2609,U_2608,U_2607] :
( sP313(U_2609,U_2608,U_2607)
| ~ v1_funct_1(U_2607)
| ~ v1_relat_1(U_2607)
| ~ v1_funct_1(U_2608)
| ~ v1_relat_1(U_2608) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP312,sP313])],[f_858_2]) ).
cnf(f_858_4,plain,
( sP313(U_2609,U_2608,U_2607)
| ~ v1_funct_1(U_2607)
| ~ v1_relat_1(U_2607)
| ~ v1_funct_1(U_2608)
| ~ v1_relat_1(U_2608) ),
inference(clausify,[status(thm)],[f_858_3]) ).
cnf(f_858_5,plain,
( sP312(U_2609,U_2608,U_2607)
| ~ r2_hidden(U_2609,k1_relat_1(k5_relat_1(U_2607,U_2608)))
| ~ sP313(U_2609,U_2608,U_2607) ),
inference(clausify,[status(thm)],[f_858_3]) ).
cnf(f_858_6,plain,
( r2_hidden(U_2609,k1_relat_1(k5_relat_1(U_2607,U_2608)))
| ~ r2_hidden(k1_funct_1(U_2607,U_2609),k1_relat_1(U_2608))
| ~ r2_hidden(U_2609,k1_relat_1(U_2607))
| ~ sP313(U_2609,U_2608,U_2607) ),
inference(clausify,[status(thm)],[f_858_3]) ).
cnf(f_858_7,plain,
( r2_hidden(U_2609,k1_relat_1(U_2607))
| ~ sP312(U_2609,U_2608,U_2607) ),
inference(clausify,[status(thm)],[f_858_3]) ).
cnf(f_858_8,plain,
( r2_hidden(k1_funct_1(U_2607,U_2609),k1_relat_1(U_2608))
| ~ sP312(U_2609,U_2608,U_2607) ),
inference(clausify,[status(thm)],[f_858_3]) ).
fof(f_859_1,plain,
! [A,B] :
( ! [C] :
( k1_funct_1(k5_relat_1(C,B),A) = k1_funct_1(B,k1_funct_1(C,A))
| ~ r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t22_funct_1]) ).
fof(f_859_2,plain,
! [U_2612,U_2611] :
( ! [U_2610] :
( k1_funct_1(k5_relat_1(U_2610,U_2611),U_2612) = k1_funct_1(U_2611,k1_funct_1(U_2610,U_2612))
| ~ r2_hidden(U_2612,k1_relat_1(k5_relat_1(U_2610,U_2611)))
| ~ v1_funct_1(U_2610)
| ~ v1_relat_1(U_2610) )
| ~ v1_funct_1(U_2611)
| ~ v1_relat_1(U_2611) ),
inference(variable_rename,[status(thm)],[f_859_1]) ).
fof(f_859_3,plain,
! [U_2610,U_2611,U_2612] :
( k1_funct_1(k5_relat_1(U_2610,U_2611),U_2612) = k1_funct_1(U_2611,k1_funct_1(U_2610,U_2612))
| ~ r2_hidden(U_2612,k1_relat_1(k5_relat_1(U_2610,U_2611)))
| ~ v1_funct_1(U_2610)
| ~ v1_relat_1(U_2610)
| ~ v1_funct_1(U_2611)
| ~ v1_relat_1(U_2611) ),
inference(definitional_conversion,[status(esa)],[f_859_2]) ).
cnf(f_859_4,plain,
( k1_funct_1(k5_relat_1(U_2610,U_2611),U_2612) = k1_funct_1(U_2611,k1_funct_1(U_2610,U_2612))
| ~ r2_hidden(U_2612,k1_relat_1(k5_relat_1(U_2610,U_2611)))
| ~ v1_funct_1(U_2610)
| ~ v1_relat_1(U_2610)
| ~ v1_funct_1(U_2611)
| ~ v1_relat_1(U_2611) ),
inference(clausify,[status(thm)],[f_859_3]) ).
fof(f_860_1,plain,
! [A,B] :
( ! [C] :
( k1_funct_1(k5_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A))
| ~ r2_hidden(A,k1_relat_1(B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t23_funct_1]) ).
fof(f_860_2,plain,
! [U_2615,U_2614] :
( ! [U_2613] :
( k1_funct_1(k5_relat_1(U_2614,U_2613),U_2615) = k1_funct_1(U_2613,k1_funct_1(U_2614,U_2615))
| ~ r2_hidden(U_2615,k1_relat_1(U_2614))
| ~ v1_funct_1(U_2613)
| ~ v1_relat_1(U_2613) )
| ~ v1_funct_1(U_2614)
| ~ v1_relat_1(U_2614) ),
inference(variable_rename,[status(thm)],[f_860_1]) ).
fof(f_860_3,plain,
! [U_2615,U_2614,U_2613] :
( k1_funct_1(k5_relat_1(U_2614,U_2613),U_2615) = k1_funct_1(U_2613,k1_funct_1(U_2614,U_2615))
| ~ r2_hidden(U_2615,k1_relat_1(U_2614))
| ~ v1_funct_1(U_2613)
| ~ v1_relat_1(U_2613)
| ~ v1_funct_1(U_2614)
| ~ v1_relat_1(U_2614) ),
inference(definitional_conversion,[status(esa)],[f_860_2]) ).
cnf(f_860_4,plain,
( k1_funct_1(k5_relat_1(U_2614,U_2613),U_2615) = k1_funct_1(U_2613,k1_funct_1(U_2614,U_2615))
| ~ r2_hidden(U_2615,k1_relat_1(U_2614))
| ~ v1_funct_1(U_2613)
| ~ v1_relat_1(U_2613)
| ~ v1_funct_1(U_2614)
| ~ v1_relat_1(U_2614) ),
inference(clausify,[status(thm)],[f_860_3]) ).
fof(f_861_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_funct_1]) ).
fof(f_861_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_861_1]) ).
cnf(f_861_3,plain,
$true,
inference(clausify,[status(thm)],[f_861_2]) ).
fof(f_862_1,plain,
! [A,B] :
( ! [C] :
( r2_hidden(A,k2_relat_1(B))
| ~ r2_hidden(A,k2_relat_1(k5_relat_1(C,B)))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t25_funct_1]) ).
fof(f_862_2,plain,
! [U_2618,U_2617] :
( ! [U_2616] :
( r2_hidden(U_2618,k2_relat_1(U_2617))
| ~ r2_hidden(U_2618,k2_relat_1(k5_relat_1(U_2616,U_2617)))
| ~ v1_funct_1(U_2616)
| ~ v1_relat_1(U_2616) )
| ~ v1_funct_1(U_2617)
| ~ v1_relat_1(U_2617) ),
inference(variable_rename,[status(thm)],[f_862_1]) ).
fof(f_862_3,plain,
! [U_2618,U_2616,U_2617] :
( r2_hidden(U_2618,k2_relat_1(U_2617))
| ~ r2_hidden(U_2618,k2_relat_1(k5_relat_1(U_2616,U_2617)))
| ~ v1_funct_1(U_2616)
| ~ v1_relat_1(U_2616)
| ~ v1_funct_1(U_2617)
| ~ v1_relat_1(U_2617) ),
inference(definitional_conversion,[status(esa)],[f_862_2]) ).
cnf(f_862_4,plain,
( r2_hidden(U_2618,k2_relat_1(U_2617))
| ~ r2_hidden(U_2618,k2_relat_1(k5_relat_1(U_2616,U_2617)))
| ~ v1_funct_1(U_2616)
| ~ v1_relat_1(U_2616)
| ~ v1_funct_1(U_2617)
| ~ v1_relat_1(U_2617) ),
inference(clausify,[status(thm)],[f_862_3]) ).
fof(f_863_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_funct_1]) ).
fof(f_863_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_863_1]) ).
cnf(f_863_3,plain,
$true,
inference(clausify,[status(thm)],[f_863_2]) ).
fof(f_864_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k2_relat_1(B),k1_relat_1(A))
| k1_relat_1(k5_relat_1(B,A)) != k1_relat_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t27_funct_1]) ).
fof(f_864_2,plain,
! [U_2620] :
( ! [U_2619] :
( r1_tarski(k2_relat_1(U_2619),k1_relat_1(U_2620))
| k1_relat_1(k5_relat_1(U_2619,U_2620)) != k1_relat_1(U_2619)
| ~ v1_funct_1(U_2619)
| ~ v1_relat_1(U_2619) )
| ~ v1_funct_1(U_2620)
| ~ v1_relat_1(U_2620) ),
inference(variable_rename,[status(thm)],[f_864_1]) ).
fof(f_864_3,plain,
! [U_2620,U_2619] :
( r1_tarski(k2_relat_1(U_2619),k1_relat_1(U_2620))
| k1_relat_1(k5_relat_1(U_2619,U_2620)) != k1_relat_1(U_2619)
| ~ v1_funct_1(U_2619)
| ~ v1_relat_1(U_2619)
| ~ v1_funct_1(U_2620)
| ~ v1_relat_1(U_2620) ),
inference(definitional_conversion,[status(esa)],[f_864_2]) ).
cnf(f_864_4,plain,
( r1_tarski(k2_relat_1(U_2619),k1_relat_1(U_2620))
| k1_relat_1(k5_relat_1(U_2619,U_2620)) != k1_relat_1(U_2619)
| ~ v1_funct_1(U_2619)
| ~ v1_relat_1(U_2619)
| ~ v1_funct_1(U_2620)
| ~ v1_relat_1(U_2620) ),
inference(clausify,[status(thm)],[f_864_3]) ).
fof(f_865_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_funct_1]) ).
fof(f_865_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_865_1]) ).
cnf(f_865_3,plain,
$true,
inference(clausify,[status(thm)],[f_865_2]) ).
fof(f_866_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_funct_1]) ).
fof(f_866_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_866_1]) ).
cnf(f_866_3,plain,
$true,
inference(clausify,[status(thm)],[f_866_2]) ).
fof(f_867_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_funct_1]) ).
fof(f_867_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_867_1]) ).
cnf(f_867_3,plain,
$true,
inference(clausify,[status(thm)],[f_867_2]) ).
fof(f_868_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_funct_1]) ).
fof(f_868_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_868_1]) ).
cnf(f_868_3,plain,
$true,
inference(clausify,[status(thm)],[f_868_2]) ).
fof(f_869_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_funct_1]) ).
fof(f_869_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_869_1]) ).
cnf(f_869_3,plain,
$true,
inference(clausify,[status(thm)],[f_869_2]) ).
fof(f_870_1,plain,
! [A,B] :
( A = k2_relat_1(B)
| ? [C] :
( ? [D] :
( C != D
& k5_relat_1(B,C) = k5_relat_1(B,D)
& k1_relat_1(D) = A
& k1_relat_1(C) = A
& v1_funct_1(D)
& v1_relat_1(D) )
& v1_funct_1(C)
& v1_relat_1(C) )
| ~ r1_tarski(k2_relat_1(B),A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t33_funct_1]) ).
fof(f_870_2,plain,
! [U_2624,U_2623] :
( U_2624 = k2_relat_1(U_2623)
| ? [U_2622] :
( ? [U_2621] :
( U_2622 != U_2621
& k5_relat_1(U_2623,U_2622) = k5_relat_1(U_2623,U_2621)
& k1_relat_1(U_2621) = U_2624
& k1_relat_1(U_2622) = U_2624
& v1_funct_1(U_2621)
& v1_relat_1(U_2621) )
& v1_funct_1(U_2622)
& v1_relat_1(U_2622) )
| ~ r1_tarski(k2_relat_1(U_2623),U_2624)
| ~ v1_funct_1(U_2623)
| ~ v1_relat_1(U_2623) ),
inference(variable_rename,[status(thm)],[f_870_1]) ).
fof(f_870_3,plain,
! [U_2624,U_2623] :
( U_2624 = k2_relat_1(U_2623)
| ( ? [U_2621] :
( sK210(U_2624,U_2623) != U_2621
& k5_relat_1(U_2623,sK210(U_2624,U_2623)) = k5_relat_1(U_2623,U_2621)
& k1_relat_1(U_2621) = U_2624
& k1_relat_1(sK210(U_2624,U_2623)) = U_2624
& v1_funct_1(U_2621)
& v1_relat_1(U_2621) )
& v1_funct_1(sK210(U_2624,U_2623))
& v1_relat_1(sK210(U_2624,U_2623)) )
| ~ r1_tarski(k2_relat_1(U_2623),U_2624)
| ~ v1_funct_1(U_2623)
| ~ v1_relat_1(U_2623) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK210]),skolemize(U_2622,sK210(U_2624,U_2623))],[f_870_2]) ).
fof(f_870_4,plain,
! [U_2624,U_2623] :
( U_2624 = k2_relat_1(U_2623)
| ( sK210(U_2624,U_2623) != sK211(U_2624,U_2623)
& k5_relat_1(U_2623,sK210(U_2624,U_2623)) = k5_relat_1(U_2623,sK211(U_2624,U_2623))
& k1_relat_1(sK211(U_2624,U_2623)) = U_2624
& k1_relat_1(sK210(U_2624,U_2623)) = U_2624
& v1_funct_1(sK211(U_2624,U_2623))
& v1_relat_1(sK211(U_2624,U_2623))
& v1_funct_1(sK210(U_2624,U_2623))
& v1_relat_1(sK210(U_2624,U_2623)) )
| ~ r1_tarski(k2_relat_1(U_2623),U_2624)
| ~ v1_funct_1(U_2623)
| ~ v1_relat_1(U_2623) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK211]),skolemize(U_2621,sK211(U_2624,U_2623))],[f_870_3]) ).
fof(f_870_5,plain,
( ! [U_2624,U_2623] :
( sK210(U_2624,U_2623) != sK211(U_2624,U_2623)
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( k5_relat_1(U_2623,sK210(U_2624,U_2623)) = k5_relat_1(U_2623,sK211(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( k1_relat_1(sK211(U_2624,U_2623)) = U_2624
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( k1_relat_1(sK210(U_2624,U_2623)) = U_2624
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( v1_funct_1(sK211(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( v1_relat_1(sK211(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( v1_funct_1(sK210(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( v1_relat_1(sK210(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) )
& ! [U_2624,U_2623] :
( U_2624 = k2_relat_1(U_2623)
| sP314(U_2624,U_2623)
| ~ r1_tarski(k2_relat_1(U_2623),U_2624)
| ~ v1_funct_1(U_2623)
| ~ v1_relat_1(U_2623) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP314])],[f_870_4]) ).
cnf(f_870_6,plain,
( U_2624 = k2_relat_1(U_2623)
| sP314(U_2624,U_2623)
| ~ r1_tarski(k2_relat_1(U_2623),U_2624)
| ~ v1_funct_1(U_2623)
| ~ v1_relat_1(U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_7,plain,
( v1_relat_1(sK210(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_8,plain,
( v1_funct_1(sK210(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_9,plain,
( v1_relat_1(sK211(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_10,plain,
( v1_funct_1(sK211(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_11,plain,
( k1_relat_1(sK210(U_2624,U_2623)) = U_2624
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_12,plain,
( k1_relat_1(sK211(U_2624,U_2623)) = U_2624
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_13,plain,
( k5_relat_1(U_2623,sK210(U_2624,U_2623)) = k5_relat_1(U_2623,sK211(U_2624,U_2623))
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
cnf(f_870_14,plain,
( sK210(U_2624,U_2623) != sK211(U_2624,U_2623)
| ~ sP314(U_2624,U_2623) ),
inference(clausify,[status(thm)],[f_870_5]) ).
fof(f_871_1,plain,
! [A,B] :
( ( ( B = k6_relat_1(A)
| ? [C] :
( k1_funct_1(B,C) != C
& r2_hidden(C,A) )
| k1_relat_1(B) != A )
& ( ( ! [C] :
( k1_funct_1(B,C) = C
| ~ r2_hidden(C,A) )
& k1_relat_1(B) = A )
| B != k6_relat_1(A) ) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t34_funct_1]) ).
fof(f_871_2,plain,
! [U_2628,U_2627] :
( ( ( U_2627 = k6_relat_1(U_2628)
| ? [U_2626] :
( k1_funct_1(U_2627,U_2626) != U_2626
& r2_hidden(U_2626,U_2628) )
| k1_relat_1(U_2627) != U_2628 )
& ( ( ! [U_2625] :
( k1_funct_1(U_2627,U_2625) = U_2625
| ~ r2_hidden(U_2625,U_2628) )
& k1_relat_1(U_2627) = U_2628 )
| U_2627 != k6_relat_1(U_2628) ) )
| ~ v1_funct_1(U_2627)
| ~ v1_relat_1(U_2627) ),
inference(variable_rename,[status(thm)],[f_871_1]) ).
fof(f_871_3,plain,
! [U_2628,U_2627] :
( ( ( U_2627 = k6_relat_1(U_2628)
| ( k1_funct_1(U_2627,sK212(U_2628,U_2627)) != sK212(U_2628,U_2627)
& r2_hidden(sK212(U_2628,U_2627),U_2628) )
| k1_relat_1(U_2627) != U_2628 )
& ( ( ! [U_2625] :
( k1_funct_1(U_2627,U_2625) = U_2625
| ~ r2_hidden(U_2625,U_2628) )
& k1_relat_1(U_2627) = U_2628 )
| U_2627 != k6_relat_1(U_2628) ) )
| ~ v1_funct_1(U_2627)
| ~ v1_relat_1(U_2627) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK212]),skolemize(U_2626,sK212(U_2628,U_2627))],[f_871_2]) ).
fof(f_871_4,plain,
( ! [U_2628,U_2627] :
( k1_funct_1(U_2627,sK212(U_2628,U_2627)) != sK212(U_2628,U_2627)
| ~ sP316(U_2628,U_2627) )
& ! [U_2628,U_2627] :
( r2_hidden(sK212(U_2628,U_2627),U_2628)
| ~ sP316(U_2628,U_2627) )
& ! [U_2625,U_2628,U_2627] :
( k1_funct_1(U_2627,U_2625) = U_2625
| ~ r2_hidden(U_2625,U_2628)
| ~ sP315(U_2625,U_2628,U_2627) )
& ! [U_2625,U_2628,U_2627] :
( k1_relat_1(U_2627) = U_2628
| ~ sP315(U_2625,U_2628,U_2627) )
& ! [U_2625,U_2628,U_2627] :
( U_2627 = k6_relat_1(U_2628)
| sP316(U_2628,U_2627)
| k1_relat_1(U_2627) != U_2628
| ~ sP317(U_2625,U_2628,U_2627) )
& ! [U_2625,U_2628,U_2627] :
( sP315(U_2625,U_2628,U_2627)
| U_2627 != k6_relat_1(U_2628)
| ~ sP317(U_2625,U_2628,U_2627) )
& ! [U_2625,U_2628,U_2627] :
( sP317(U_2625,U_2628,U_2627)
| ~ v1_funct_1(U_2627)
| ~ v1_relat_1(U_2627) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP315,sP316,sP317])],[f_871_3]) ).
cnf(f_871_5,plain,
( sP317(U_2625,U_2628,U_2627)
| ~ v1_funct_1(U_2627)
| ~ v1_relat_1(U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
cnf(f_871_6,plain,
( sP315(U_2625,U_2628,U_2627)
| U_2627 != k6_relat_1(U_2628)
| ~ sP317(U_2625,U_2628,U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
cnf(f_871_7,plain,
( U_2627 = k6_relat_1(U_2628)
| sP316(U_2628,U_2627)
| k1_relat_1(U_2627) != U_2628
| ~ sP317(U_2625,U_2628,U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
cnf(f_871_8,plain,
( k1_relat_1(U_2627) = U_2628
| ~ sP315(U_2625,U_2628,U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
cnf(f_871_9,plain,
( k1_funct_1(U_2627,U_2625) = U_2625
| ~ r2_hidden(U_2625,U_2628)
| ~ sP315(U_2625,U_2628,U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
cnf(f_871_10,plain,
( r2_hidden(sK212(U_2628,U_2627),U_2628)
| ~ sP316(U_2628,U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
cnf(f_871_11,plain,
( k1_funct_1(U_2627,sK212(U_2628,U_2627)) != sK212(U_2628,U_2627)
| ~ sP316(U_2628,U_2627) ),
inference(clausify,[status(thm)],[f_871_4]) ).
fof(f_872_1,plain,
! [A,B] :
( k1_funct_1(k6_relat_1(A),B) = B
| ~ r2_hidden(B,A) ),
inference(fof_nnf,[status(thm)],[t35_funct_1]) ).
fof(f_872_2,plain,
! [U_2630,U_2629] :
( k1_funct_1(k6_relat_1(U_2630),U_2629) = U_2629
| ~ r2_hidden(U_2629,U_2630) ),
inference(variable_rename,[status(thm)],[f_872_1]) ).
fof(f_872_3,plain,
! [U_2629,U_2630] :
( k1_funct_1(k6_relat_1(U_2630),U_2629) = U_2629
| ~ r2_hidden(U_2629,U_2630) ),
inference(definitional_conversion,[status(esa)],[f_872_2]) ).
cnf(f_872_4,plain,
( k1_funct_1(k6_relat_1(U_2630),U_2629) = U_2629
| ~ r2_hidden(U_2629,U_2630) ),
inference(clausify,[status(thm)],[f_872_3]) ).
fof(f_873_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_funct_1]) ).
fof(f_873_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_873_1]) ).
cnf(f_873_3,plain,
$true,
inference(clausify,[status(thm)],[f_873_2]) ).
fof(f_874_1,plain,
! [A,B] :
( k1_relat_1(k5_relat_1(k6_relat_1(A),B)) = k3_xboole_0(k1_relat_1(B),A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t37_funct_1]) ).
fof(f_874_2,plain,
! [U_2632,U_2631] :
( k1_relat_1(k5_relat_1(k6_relat_1(U_2632),U_2631)) = k3_xboole_0(k1_relat_1(U_2631),U_2632)
| ~ v1_funct_1(U_2631)
| ~ v1_relat_1(U_2631) ),
inference(variable_rename,[status(thm)],[f_874_1]) ).
fof(f_874_3,plain,
! [U_2631,U_2632] :
( k1_relat_1(k5_relat_1(k6_relat_1(U_2632),U_2631)) = k3_xboole_0(k1_relat_1(U_2631),U_2632)
| ~ v1_funct_1(U_2631)
| ~ v1_relat_1(U_2631) ),
inference(definitional_conversion,[status(esa)],[f_874_2]) ).
cnf(f_874_4,plain,
( k1_relat_1(k5_relat_1(k6_relat_1(U_2632),U_2631)) = k3_xboole_0(k1_relat_1(U_2631),U_2632)
| ~ v1_funct_1(U_2631)
| ~ v1_relat_1(U_2631) ),
inference(clausify,[status(thm)],[f_874_3]) ).
fof(f_875_1,plain,
! [A,B,C] :
( k1_funct_1(C,B) = k1_funct_1(k5_relat_1(k6_relat_1(A),C),B)
| ~ r2_hidden(B,k3_xboole_0(k1_relat_1(C),A))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t38_funct_1]) ).
fof(f_875_2,plain,
! [U_2635,U_2634,U_2633] :
( k1_funct_1(U_2633,U_2634) = k1_funct_1(k5_relat_1(k6_relat_1(U_2635),U_2633),U_2634)
| ~ r2_hidden(U_2634,k3_xboole_0(k1_relat_1(U_2633),U_2635))
| ~ v1_funct_1(U_2633)
| ~ v1_relat_1(U_2633) ),
inference(variable_rename,[status(thm)],[f_875_1]) ).
fof(f_875_3,plain,
! [U_2633,U_2634,U_2635] :
( k1_funct_1(U_2633,U_2634) = k1_funct_1(k5_relat_1(k6_relat_1(U_2635),U_2633),U_2634)
| ~ r2_hidden(U_2634,k3_xboole_0(k1_relat_1(U_2633),U_2635))
| ~ v1_funct_1(U_2633)
| ~ v1_relat_1(U_2633) ),
inference(definitional_conversion,[status(esa)],[f_875_2]) ).
cnf(f_875_4,plain,
( k1_funct_1(U_2633,U_2634) = k1_funct_1(k5_relat_1(k6_relat_1(U_2635),U_2633),U_2634)
| ~ r2_hidden(U_2634,k3_xboole_0(k1_relat_1(U_2633),U_2635))
| ~ v1_funct_1(U_2633)
| ~ v1_relat_1(U_2633) ),
inference(clausify,[status(thm)],[f_875_3]) ).
fof(f_876_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_funct_1]) ).
fof(f_876_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_876_1]) ).
cnf(f_876_3,plain,
$true,
inference(clausify,[status(thm)],[f_876_2]) ).
fof(f_877_1,plain,
! [A,B,C] :
( ( ( r2_hidden(B,k1_relat_1(k5_relat_1(C,k6_relat_1(A))))
| ~ r2_hidden(k1_funct_1(C,B),A)
| ~ r2_hidden(B,k1_relat_1(C)) )
& ( ( r2_hidden(k1_funct_1(C,B),A)
& r2_hidden(B,k1_relat_1(C)) )
| ~ r2_hidden(B,k1_relat_1(k5_relat_1(C,k6_relat_1(A)))) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t40_funct_1]) ).
fof(f_877_2,plain,
! [U_2638,U_2637,U_2636] :
( ( ( r2_hidden(U_2637,k1_relat_1(k5_relat_1(U_2636,k6_relat_1(U_2638))))
| ~ r2_hidden(k1_funct_1(U_2636,U_2637),U_2638)
| ~ r2_hidden(U_2637,k1_relat_1(U_2636)) )
& ( ( r2_hidden(k1_funct_1(U_2636,U_2637),U_2638)
& r2_hidden(U_2637,k1_relat_1(U_2636)) )
| ~ r2_hidden(U_2637,k1_relat_1(k5_relat_1(U_2636,k6_relat_1(U_2638)))) ) )
| ~ v1_funct_1(U_2636)
| ~ v1_relat_1(U_2636) ),
inference(variable_rename,[status(thm)],[f_877_1]) ).
fof(f_877_3,plain,
( ! [U_2637,U_2638,U_2636] :
( r2_hidden(k1_funct_1(U_2636,U_2637),U_2638)
| ~ sP318(U_2637,U_2638,U_2636) )
& ! [U_2637,U_2638,U_2636] :
( r2_hidden(U_2637,k1_relat_1(U_2636))
| ~ sP318(U_2637,U_2638,U_2636) )
& ! [U_2637,U_2638,U_2636] :
( r2_hidden(U_2637,k1_relat_1(k5_relat_1(U_2636,k6_relat_1(U_2638))))
| ~ r2_hidden(k1_funct_1(U_2636,U_2637),U_2638)
| ~ r2_hidden(U_2637,k1_relat_1(U_2636))
| ~ sP319(U_2637,U_2638,U_2636) )
& ! [U_2637,U_2638,U_2636] :
( sP318(U_2637,U_2638,U_2636)
| ~ r2_hidden(U_2637,k1_relat_1(k5_relat_1(U_2636,k6_relat_1(U_2638))))
| ~ sP319(U_2637,U_2638,U_2636) )
& ! [U_2637,U_2638,U_2636] :
( sP319(U_2637,U_2638,U_2636)
| ~ v1_funct_1(U_2636)
| ~ v1_relat_1(U_2636) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP318,sP319])],[f_877_2]) ).
cnf(f_877_4,plain,
( sP319(U_2637,U_2638,U_2636)
| ~ v1_funct_1(U_2636)
| ~ v1_relat_1(U_2636) ),
inference(clausify,[status(thm)],[f_877_3]) ).
cnf(f_877_5,plain,
( sP318(U_2637,U_2638,U_2636)
| ~ r2_hidden(U_2637,k1_relat_1(k5_relat_1(U_2636,k6_relat_1(U_2638))))
| ~ sP319(U_2637,U_2638,U_2636) ),
inference(clausify,[status(thm)],[f_877_3]) ).
cnf(f_877_6,plain,
( r2_hidden(U_2637,k1_relat_1(k5_relat_1(U_2636,k6_relat_1(U_2638))))
| ~ r2_hidden(k1_funct_1(U_2636,U_2637),U_2638)
| ~ r2_hidden(U_2637,k1_relat_1(U_2636))
| ~ sP319(U_2637,U_2638,U_2636) ),
inference(clausify,[status(thm)],[f_877_3]) ).
cnf(f_877_7,plain,
( r2_hidden(U_2637,k1_relat_1(U_2636))
| ~ sP318(U_2637,U_2638,U_2636) ),
inference(clausify,[status(thm)],[f_877_3]) ).
cnf(f_877_8,plain,
( r2_hidden(k1_funct_1(U_2636,U_2637),U_2638)
| ~ sP318(U_2637,U_2638,U_2636) ),
inference(clausify,[status(thm)],[f_877_3]) ).
fof(f_878_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t41_funct_1]) ).
fof(f_878_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_878_1]) ).
cnf(f_878_3,plain,
$true,
inference(clausify,[status(thm)],[f_878_2]) ).
fof(f_879_1,plain,
! [A] :
( ( k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A
& k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t42_funct_1]) ).
fof(f_879_2,plain,
! [U_2639] :
( ( k5_relat_1(U_2639,k6_relat_1(k2_relat_1(U_2639))) = U_2639
& k5_relat_1(k6_relat_1(k1_relat_1(U_2639)),U_2639) = U_2639 )
| ~ v1_funct_1(U_2639)
| ~ v1_relat_1(U_2639) ),
inference(variable_rename,[status(thm)],[f_879_1]) ).
fof(f_879_3,plain,
( ! [U_2639] :
( k5_relat_1(U_2639,k6_relat_1(k2_relat_1(U_2639))) = U_2639
| ~ sP320(U_2639) )
& ! [U_2639] :
( k5_relat_1(k6_relat_1(k1_relat_1(U_2639)),U_2639) = U_2639
| ~ sP320(U_2639) )
& ! [U_2639] :
( sP320(U_2639)
| ~ v1_funct_1(U_2639)
| ~ v1_relat_1(U_2639) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP320])],[f_879_2]) ).
cnf(f_879_4,plain,
( sP320(U_2639)
| ~ v1_funct_1(U_2639)
| ~ v1_relat_1(U_2639) ),
inference(clausify,[status(thm)],[f_879_3]) ).
cnf(f_879_5,plain,
( k5_relat_1(k6_relat_1(k1_relat_1(U_2639)),U_2639) = U_2639
| ~ sP320(U_2639) ),
inference(clausify,[status(thm)],[f_879_3]) ).
cnf(f_879_6,plain,
( k5_relat_1(U_2639,k6_relat_1(k2_relat_1(U_2639))) = U_2639
| ~ sP320(U_2639) ),
inference(clausify,[status(thm)],[f_879_3]) ).
fof(f_880_1,plain,
! [A,B] : k5_relat_1(k6_relat_1(B),k6_relat_1(A)) = k6_relat_1(k3_xboole_0(A,B)),
inference(fof_nnf,[status(thm)],[t43_funct_1]) ).
fof(f_880_2,plain,
! [U_2641,U_2640] : k5_relat_1(k6_relat_1(U_2640),k6_relat_1(U_2641)) = k6_relat_1(k3_xboole_0(U_2641,U_2640)),
inference(variable_rename,[status(thm)],[f_880_1]) ).
fof(f_880_3,plain,
! [U_2640,U_2641] : k5_relat_1(k6_relat_1(U_2640),k6_relat_1(U_2641)) = k6_relat_1(k3_xboole_0(U_2641,U_2640)),
inference(definitional_conversion,[status(esa)],[f_880_2]) ).
cnf(f_880_4,plain,
k5_relat_1(k6_relat_1(U_2640),k6_relat_1(U_2641)) = k6_relat_1(k3_xboole_0(U_2641,U_2640)),
inference(clausify,[status(thm)],[f_880_3]) ).
fof(f_881_1,plain,
! [A] :
( ! [B] :
( B = k6_relat_1(k1_relat_1(B))
| k5_relat_1(A,B) != A
| k2_relat_1(A) != k1_relat_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t44_funct_1]) ).
fof(f_881_2,plain,
! [U_2643] :
( ! [U_2642] :
( U_2642 = k6_relat_1(k1_relat_1(U_2642))
| k5_relat_1(U_2643,U_2642) != U_2643
| k2_relat_1(U_2643) != k1_relat_1(U_2642)
| ~ v1_funct_1(U_2642)
| ~ v1_relat_1(U_2642) )
| ~ v1_funct_1(U_2643)
| ~ v1_relat_1(U_2643) ),
inference(variable_rename,[status(thm)],[f_881_1]) ).
fof(f_881_3,plain,
! [U_2642,U_2643] :
( U_2642 = k6_relat_1(k1_relat_1(U_2642))
| k5_relat_1(U_2643,U_2642) != U_2643
| k2_relat_1(U_2643) != k1_relat_1(U_2642)
| ~ v1_funct_1(U_2642)
| ~ v1_relat_1(U_2642)
| ~ v1_funct_1(U_2643)
| ~ v1_relat_1(U_2643) ),
inference(definitional_conversion,[status(esa)],[f_881_2]) ).
cnf(f_881_4,plain,
( U_2642 = k6_relat_1(k1_relat_1(U_2642))
| k5_relat_1(U_2643,U_2642) != U_2643
| k2_relat_1(U_2643) != k1_relat_1(U_2642)
| ~ v1_funct_1(U_2642)
| ~ v1_relat_1(U_2642)
| ~ v1_funct_1(U_2643)
| ~ v1_relat_1(U_2643) ),
inference(clausify,[status(thm)],[f_881_3]) ).
fof(f_882_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d6_funct_1]) ).
fof(f_882_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_882_1]) ).
cnf(f_882_3,plain,
$true,
inference(clausify,[status(thm)],[f_882_2]) ).
fof(f_883_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d7_funct_1]) ).
fof(f_883_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_883_1]) ).
cnf(f_883_3,plain,
$true,
inference(clausify,[status(thm)],[f_883_2]) ).
fof(f_884_1,plain,
! [A] :
( ( ( v2_funct_1(A)
| ? [B,C] :
( B != C
& k1_funct_1(A,B) = k1_funct_1(A,C)
& r2_hidden(C,k1_relat_1(A))
& r2_hidden(B,k1_relat_1(A)) ) )
& ( ! [B,C] :
( B = C
| k1_funct_1(A,B) != k1_funct_1(A,C)
| ~ r2_hidden(C,k1_relat_1(A))
| ~ r2_hidden(B,k1_relat_1(A)) )
| ~ v2_funct_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d8_funct_1]) ).
fof(f_884_2,plain,
! [U_2648] :
( ( ( v2_funct_1(U_2648)
| ? [U_2647,U_2646] :
( U_2647 != U_2646
& k1_funct_1(U_2648,U_2647) = k1_funct_1(U_2648,U_2646)
& r2_hidden(U_2646,k1_relat_1(U_2648))
& r2_hidden(U_2647,k1_relat_1(U_2648)) ) )
& ( ! [U_2645,U_2644] :
( U_2645 = U_2644
| k1_funct_1(U_2648,U_2645) != k1_funct_1(U_2648,U_2644)
| ~ r2_hidden(U_2644,k1_relat_1(U_2648))
| ~ r2_hidden(U_2645,k1_relat_1(U_2648)) )
| ~ v2_funct_1(U_2648) ) )
| ~ v1_funct_1(U_2648)
| ~ v1_relat_1(U_2648) ),
inference(variable_rename,[status(thm)],[f_884_1]) ).
fof(f_884_3,plain,
! [U_2648] :
( ( ( v2_funct_1(U_2648)
| ? [U_2646] :
( sK213(U_2648) != U_2646
& k1_funct_1(U_2648,sK213(U_2648)) = k1_funct_1(U_2648,U_2646)
& r2_hidden(U_2646,k1_relat_1(U_2648))
& r2_hidden(sK213(U_2648),k1_relat_1(U_2648)) ) )
& ( ! [U_2645,U_2644] :
( U_2645 = U_2644
| k1_funct_1(U_2648,U_2645) != k1_funct_1(U_2648,U_2644)
| ~ r2_hidden(U_2644,k1_relat_1(U_2648))
| ~ r2_hidden(U_2645,k1_relat_1(U_2648)) )
| ~ v2_funct_1(U_2648) ) )
| ~ v1_funct_1(U_2648)
| ~ v1_relat_1(U_2648) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK213]),skolemize(U_2647,sK213(U_2648))],[f_884_2]) ).
fof(f_884_4,plain,
! [U_2648] :
( ( ( v2_funct_1(U_2648)
| ( sK213(U_2648) != sK214(U_2648)
& k1_funct_1(U_2648,sK213(U_2648)) = k1_funct_1(U_2648,sK214(U_2648))
& r2_hidden(sK214(U_2648),k1_relat_1(U_2648))
& r2_hidden(sK213(U_2648),k1_relat_1(U_2648)) ) )
& ( ! [U_2645,U_2644] :
( U_2645 = U_2644
| k1_funct_1(U_2648,U_2645) != k1_funct_1(U_2648,U_2644)
| ~ r2_hidden(U_2644,k1_relat_1(U_2648))
| ~ r2_hidden(U_2645,k1_relat_1(U_2648)) )
| ~ v2_funct_1(U_2648) ) )
| ~ v1_funct_1(U_2648)
| ~ v1_relat_1(U_2648) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK214]),skolemize(U_2646,sK214(U_2648))],[f_884_3]) ).
fof(f_884_5,plain,
( ! [U_2648] :
( sK213(U_2648) != sK214(U_2648)
| ~ sP321(U_2648) )
& ! [U_2648] :
( k1_funct_1(U_2648,sK213(U_2648)) = k1_funct_1(U_2648,sK214(U_2648))
| ~ sP321(U_2648) )
& ! [U_2648] :
( r2_hidden(sK214(U_2648),k1_relat_1(U_2648))
| ~ sP321(U_2648) )
& ! [U_2648] :
( r2_hidden(sK213(U_2648),k1_relat_1(U_2648))
| ~ sP321(U_2648) )
& ! [U_2645,U_2644,U_2648] :
( v2_funct_1(U_2648)
| sP321(U_2648)
| ~ sP322(U_2645,U_2644,U_2648) )
& ! [U_2645,U_2644,U_2648] :
( U_2645 = U_2644
| k1_funct_1(U_2648,U_2645) != k1_funct_1(U_2648,U_2644)
| ~ r2_hidden(U_2644,k1_relat_1(U_2648))
| ~ r2_hidden(U_2645,k1_relat_1(U_2648))
| ~ v2_funct_1(U_2648)
| ~ sP322(U_2645,U_2644,U_2648) )
& ! [U_2645,U_2644,U_2648] :
( sP322(U_2645,U_2644,U_2648)
| ~ v1_funct_1(U_2648)
| ~ v1_relat_1(U_2648) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP321,sP322])],[f_884_4]) ).
cnf(f_884_6,plain,
( sP322(U_2645,U_2644,U_2648)
| ~ v1_funct_1(U_2648)
| ~ v1_relat_1(U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
cnf(f_884_7,plain,
( U_2645 = U_2644
| k1_funct_1(U_2648,U_2645) != k1_funct_1(U_2648,U_2644)
| ~ r2_hidden(U_2644,k1_relat_1(U_2648))
| ~ r2_hidden(U_2645,k1_relat_1(U_2648))
| ~ v2_funct_1(U_2648)
| ~ sP322(U_2645,U_2644,U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
cnf(f_884_8,plain,
( v2_funct_1(U_2648)
| sP321(U_2648)
| ~ sP322(U_2645,U_2644,U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
cnf(f_884_9,plain,
( r2_hidden(sK213(U_2648),k1_relat_1(U_2648))
| ~ sP321(U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
cnf(f_884_10,plain,
( r2_hidden(sK214(U_2648),k1_relat_1(U_2648))
| ~ sP321(U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
cnf(f_884_11,plain,
( k1_funct_1(U_2648,sK213(U_2648)) = k1_funct_1(U_2648,sK214(U_2648))
| ~ sP321(U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
cnf(f_884_12,plain,
( sK213(U_2648) != sK214(U_2648)
| ~ sP321(U_2648) ),
inference(clausify,[status(thm)],[f_884_5]) ).
fof(f_885_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t45_funct_1]) ).
fof(f_885_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_885_1]) ).
cnf(f_885_3,plain,
$true,
inference(clausify,[status(thm)],[f_885_2]) ).
fof(f_886_1,plain,
! [A] :
( ! [B] :
( v2_funct_1(k5_relat_1(A,B))
| ~ v2_funct_1(B)
| ~ v2_funct_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t46_funct_1]) ).
fof(f_886_2,plain,
! [U_2650] :
( ! [U_2649] :
( v2_funct_1(k5_relat_1(U_2650,U_2649))
| ~ v2_funct_1(U_2649)
| ~ v2_funct_1(U_2650)
| ~ v1_funct_1(U_2649)
| ~ v1_relat_1(U_2649) )
| ~ v1_funct_1(U_2650)
| ~ v1_relat_1(U_2650) ),
inference(variable_rename,[status(thm)],[f_886_1]) ).
fof(f_886_3,plain,
! [U_2649,U_2650] :
( v2_funct_1(k5_relat_1(U_2650,U_2649))
| ~ v2_funct_1(U_2649)
| ~ v2_funct_1(U_2650)
| ~ v1_funct_1(U_2649)
| ~ v1_relat_1(U_2649)
| ~ v1_funct_1(U_2650)
| ~ v1_relat_1(U_2650) ),
inference(definitional_conversion,[status(esa)],[f_886_2]) ).
cnf(f_886_4,plain,
( v2_funct_1(k5_relat_1(U_2650,U_2649))
| ~ v2_funct_1(U_2649)
| ~ v2_funct_1(U_2650)
| ~ v1_funct_1(U_2649)
| ~ v1_relat_1(U_2649)
| ~ v1_funct_1(U_2650)
| ~ v1_relat_1(U_2650) ),
inference(clausify,[status(thm)],[f_886_3]) ).
fof(f_887_1,plain,
! [A] :
( ! [B] :
( v2_funct_1(B)
| ~ r1_tarski(k2_relat_1(B),k1_relat_1(A))
| ~ v2_funct_1(k5_relat_1(B,A))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t47_funct_1]) ).
fof(f_887_2,plain,
! [U_2652] :
( ! [U_2651] :
( v2_funct_1(U_2651)
| ~ r1_tarski(k2_relat_1(U_2651),k1_relat_1(U_2652))
| ~ v2_funct_1(k5_relat_1(U_2651,U_2652))
| ~ v1_funct_1(U_2651)
| ~ v1_relat_1(U_2651) )
| ~ v1_funct_1(U_2652)
| ~ v1_relat_1(U_2652) ),
inference(variable_rename,[status(thm)],[f_887_1]) ).
fof(f_887_3,plain,
! [U_2651,U_2652] :
( v2_funct_1(U_2651)
| ~ r1_tarski(k2_relat_1(U_2651),k1_relat_1(U_2652))
| ~ v2_funct_1(k5_relat_1(U_2651,U_2652))
| ~ v1_funct_1(U_2651)
| ~ v1_relat_1(U_2651)
| ~ v1_funct_1(U_2652)
| ~ v1_relat_1(U_2652) ),
inference(definitional_conversion,[status(esa)],[f_887_2]) ).
cnf(f_887_4,plain,
( v2_funct_1(U_2651)
| ~ r1_tarski(k2_relat_1(U_2651),k1_relat_1(U_2652))
| ~ v2_funct_1(k5_relat_1(U_2651,U_2652))
| ~ v1_funct_1(U_2651)
| ~ v1_relat_1(U_2651)
| ~ v1_funct_1(U_2652)
| ~ v1_relat_1(U_2652) ),
inference(clausify,[status(thm)],[f_887_3]) ).
fof(f_888_1,plain,
! [A] :
( ! [B] :
( ( v2_funct_1(A)
& v2_funct_1(B) )
| k2_relat_1(B) != k1_relat_1(A)
| ~ v2_funct_1(k5_relat_1(B,A))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t48_funct_1]) ).
fof(f_888_2,plain,
! [U_2654] :
( ! [U_2653] :
( ( v2_funct_1(U_2654)
& v2_funct_1(U_2653) )
| k2_relat_1(U_2653) != k1_relat_1(U_2654)
| ~ v2_funct_1(k5_relat_1(U_2653,U_2654))
| ~ v1_funct_1(U_2653)
| ~ v1_relat_1(U_2653) )
| ~ v1_funct_1(U_2654)
| ~ v1_relat_1(U_2654) ),
inference(variable_rename,[status(thm)],[f_888_1]) ).
fof(f_888_3,plain,
( ! [U_2654,U_2653] :
( v2_funct_1(U_2654)
| ~ sP323(U_2654,U_2653) )
& ! [U_2654,U_2653] :
( v2_funct_1(U_2653)
| ~ sP323(U_2654,U_2653) )
& ! [U_2654,U_2653] :
( sP323(U_2654,U_2653)
| k2_relat_1(U_2653) != k1_relat_1(U_2654)
| ~ v2_funct_1(k5_relat_1(U_2653,U_2654))
| ~ v1_funct_1(U_2653)
| ~ v1_relat_1(U_2653)
| ~ v1_funct_1(U_2654)
| ~ v1_relat_1(U_2654) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP323])],[f_888_2]) ).
cnf(f_888_4,plain,
( sP323(U_2654,U_2653)
| k2_relat_1(U_2653) != k1_relat_1(U_2654)
| ~ v2_funct_1(k5_relat_1(U_2653,U_2654))
| ~ v1_funct_1(U_2653)
| ~ v1_relat_1(U_2653)
| ~ v1_funct_1(U_2654)
| ~ v1_relat_1(U_2654) ),
inference(clausify,[status(thm)],[f_888_3]) ).
cnf(f_888_5,plain,
( v2_funct_1(U_2653)
| ~ sP323(U_2654,U_2653) ),
inference(clausify,[status(thm)],[f_888_3]) ).
cnf(f_888_6,plain,
( v2_funct_1(U_2654)
| ~ sP323(U_2654,U_2653) ),
inference(clausify,[status(thm)],[f_888_3]) ).
fof(f_889_1,plain,
! [A] :
( ( ( v2_funct_1(A)
| ? [B] :
( ? [C] :
( B != C
& k5_relat_1(B,A) = k5_relat_1(C,A)
& k1_relat_1(B) = k1_relat_1(C)
& r1_tarski(k2_relat_1(C),k1_relat_1(A))
& r1_tarski(k2_relat_1(B),k1_relat_1(A))
& v1_funct_1(C)
& v1_relat_1(C) )
& v1_funct_1(B)
& v1_relat_1(B) ) )
& ( ! [B] :
( ! [C] :
( B = C
| k5_relat_1(B,A) != k5_relat_1(C,A)
| k1_relat_1(B) != k1_relat_1(C)
| ~ r1_tarski(k2_relat_1(C),k1_relat_1(A))
| ~ r1_tarski(k2_relat_1(B),k1_relat_1(A))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v2_funct_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t49_funct_1]) ).
fof(f_889_2,plain,
! [U_2659] :
( ( ( v2_funct_1(U_2659)
| ? [U_2658] :
( ? [U_2657] :
( U_2658 != U_2657
& k5_relat_1(U_2658,U_2659) = k5_relat_1(U_2657,U_2659)
& k1_relat_1(U_2658) = k1_relat_1(U_2657)
& r1_tarski(k2_relat_1(U_2657),k1_relat_1(U_2659))
& r1_tarski(k2_relat_1(U_2658),k1_relat_1(U_2659))
& v1_funct_1(U_2657)
& v1_relat_1(U_2657) )
& v1_funct_1(U_2658)
& v1_relat_1(U_2658) ) )
& ( ! [U_2656] :
( ! [U_2655] :
( U_2656 = U_2655
| k5_relat_1(U_2656,U_2659) != k5_relat_1(U_2655,U_2659)
| k1_relat_1(U_2656) != k1_relat_1(U_2655)
| ~ r1_tarski(k2_relat_1(U_2655),k1_relat_1(U_2659))
| ~ r1_tarski(k2_relat_1(U_2656),k1_relat_1(U_2659))
| ~ v1_funct_1(U_2655)
| ~ v1_relat_1(U_2655) )
| ~ v1_funct_1(U_2656)
| ~ v1_relat_1(U_2656) )
| ~ v2_funct_1(U_2659) ) )
| ~ v1_funct_1(U_2659)
| ~ v1_relat_1(U_2659) ),
inference(variable_rename,[status(thm)],[f_889_1]) ).
fof(f_889_3,plain,
! [U_2659] :
( ( ( v2_funct_1(U_2659)
| ( ? [U_2657] :
( sK215(U_2659) != U_2657
& k5_relat_1(sK215(U_2659),U_2659) = k5_relat_1(U_2657,U_2659)
& k1_relat_1(sK215(U_2659)) = k1_relat_1(U_2657)
& r1_tarski(k2_relat_1(U_2657),k1_relat_1(U_2659))
& r1_tarski(k2_relat_1(sK215(U_2659)),k1_relat_1(U_2659))
& v1_funct_1(U_2657)
& v1_relat_1(U_2657) )
& v1_funct_1(sK215(U_2659))
& v1_relat_1(sK215(U_2659)) ) )
& ( ! [U_2656] :
( ! [U_2655] :
( U_2656 = U_2655
| k5_relat_1(U_2656,U_2659) != k5_relat_1(U_2655,U_2659)
| k1_relat_1(U_2656) != k1_relat_1(U_2655)
| ~ r1_tarski(k2_relat_1(U_2655),k1_relat_1(U_2659))
| ~ r1_tarski(k2_relat_1(U_2656),k1_relat_1(U_2659))
| ~ v1_funct_1(U_2655)
| ~ v1_relat_1(U_2655) )
| ~ v1_funct_1(U_2656)
| ~ v1_relat_1(U_2656) )
| ~ v2_funct_1(U_2659) ) )
| ~ v1_funct_1(U_2659)
| ~ v1_relat_1(U_2659) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK215]),skolemize(U_2658,sK215(U_2659))],[f_889_2]) ).
fof(f_889_4,plain,
! [U_2659] :
( ( ( v2_funct_1(U_2659)
| ( sK215(U_2659) != sK216(U_2659)
& k5_relat_1(sK215(U_2659),U_2659) = k5_relat_1(sK216(U_2659),U_2659)
& k1_relat_1(sK215(U_2659)) = k1_relat_1(sK216(U_2659))
& r1_tarski(k2_relat_1(sK216(U_2659)),k1_relat_1(U_2659))
& r1_tarski(k2_relat_1(sK215(U_2659)),k1_relat_1(U_2659))
& v1_funct_1(sK216(U_2659))
& v1_relat_1(sK216(U_2659))
& v1_funct_1(sK215(U_2659))
& v1_relat_1(sK215(U_2659)) ) )
& ( ! [U_2656] :
( ! [U_2655] :
( U_2656 = U_2655
| k5_relat_1(U_2656,U_2659) != k5_relat_1(U_2655,U_2659)
| k1_relat_1(U_2656) != k1_relat_1(U_2655)
| ~ r1_tarski(k2_relat_1(U_2655),k1_relat_1(U_2659))
| ~ r1_tarski(k2_relat_1(U_2656),k1_relat_1(U_2659))
| ~ v1_funct_1(U_2655)
| ~ v1_relat_1(U_2655) )
| ~ v1_funct_1(U_2656)
| ~ v1_relat_1(U_2656) )
| ~ v2_funct_1(U_2659) ) )
| ~ v1_funct_1(U_2659)
| ~ v1_relat_1(U_2659) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK216]),skolemize(U_2657,sK216(U_2659))],[f_889_3]) ).
fof(f_889_5,plain,
( ! [U_2659] :
( sK215(U_2659) != sK216(U_2659)
| ~ sP324(U_2659) )
& ! [U_2659] :
( k5_relat_1(sK215(U_2659),U_2659) = k5_relat_1(sK216(U_2659),U_2659)
| ~ sP324(U_2659) )
& ! [U_2659] :
( k1_relat_1(sK215(U_2659)) = k1_relat_1(sK216(U_2659))
| ~ sP324(U_2659) )
& ! [U_2659] :
( r1_tarski(k2_relat_1(sK216(U_2659)),k1_relat_1(U_2659))
| ~ sP324(U_2659) )
& ! [U_2659] :
( r1_tarski(k2_relat_1(sK215(U_2659)),k1_relat_1(U_2659))
| ~ sP324(U_2659) )
& ! [U_2659] :
( v1_funct_1(sK216(U_2659))
| ~ sP324(U_2659) )
& ! [U_2659] :
( v1_relat_1(sK216(U_2659))
| ~ sP324(U_2659) )
& ! [U_2659] :
( v1_funct_1(sK215(U_2659))
| ~ sP324(U_2659) )
& ! [U_2659] :
( v1_relat_1(sK215(U_2659))
| ~ sP324(U_2659) )
& ! [U_2656,U_2659,U_2655] :
( v2_funct_1(U_2659)
| sP324(U_2659)
| ~ sP325(U_2656,U_2659,U_2655) )
& ! [U_2656,U_2659,U_2655] :
( U_2656 = U_2655
| k5_relat_1(U_2656,U_2659) != k5_relat_1(U_2655,U_2659)
| k1_relat_1(U_2656) != k1_relat_1(U_2655)
| ~ r1_tarski(k2_relat_1(U_2655),k1_relat_1(U_2659))
| ~ r1_tarski(k2_relat_1(U_2656),k1_relat_1(U_2659))
| ~ v1_funct_1(U_2655)
| ~ v1_relat_1(U_2655)
| ~ v1_funct_1(U_2656)
| ~ v1_relat_1(U_2656)
| ~ v2_funct_1(U_2659)
| ~ sP325(U_2656,U_2659,U_2655) )
& ! [U_2656,U_2659,U_2655] :
( sP325(U_2656,U_2659,U_2655)
| ~ v1_funct_1(U_2659)
| ~ v1_relat_1(U_2659) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP324,sP325])],[f_889_4]) ).
cnf(f_889_6,plain,
( sP325(U_2656,U_2659,U_2655)
| ~ v1_funct_1(U_2659)
| ~ v1_relat_1(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_7,plain,
( U_2656 = U_2655
| k5_relat_1(U_2656,U_2659) != k5_relat_1(U_2655,U_2659)
| k1_relat_1(U_2656) != k1_relat_1(U_2655)
| ~ r1_tarski(k2_relat_1(U_2655),k1_relat_1(U_2659))
| ~ r1_tarski(k2_relat_1(U_2656),k1_relat_1(U_2659))
| ~ v1_funct_1(U_2655)
| ~ v1_relat_1(U_2655)
| ~ v1_funct_1(U_2656)
| ~ v1_relat_1(U_2656)
| ~ v2_funct_1(U_2659)
| ~ sP325(U_2656,U_2659,U_2655) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_8,plain,
( v2_funct_1(U_2659)
| sP324(U_2659)
| ~ sP325(U_2656,U_2659,U_2655) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_9,plain,
( v1_relat_1(sK215(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_10,plain,
( v1_funct_1(sK215(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_11,plain,
( v1_relat_1(sK216(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_12,plain,
( v1_funct_1(sK216(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_13,plain,
( r1_tarski(k2_relat_1(sK215(U_2659)),k1_relat_1(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_14,plain,
( r1_tarski(k2_relat_1(sK216(U_2659)),k1_relat_1(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_15,plain,
( k1_relat_1(sK215(U_2659)) = k1_relat_1(sK216(U_2659))
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_16,plain,
( k5_relat_1(sK215(U_2659),U_2659) = k5_relat_1(sK216(U_2659),U_2659)
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
cnf(f_889_17,plain,
( sK215(U_2659) != sK216(U_2659)
| ~ sP324(U_2659) ),
inference(clausify,[status(thm)],[f_889_5]) ).
fof(f_890_1,plain,
! [A,B] :
( ! [C] :
( C = k6_relat_1(A)
| k5_relat_1(C,B) != B
| ~ v2_funct_1(B)
| ~ r1_tarski(k2_relat_1(C),A)
| k1_relat_1(C) != A
| k1_relat_1(B) != A
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t50_funct_1]) ).
fof(f_890_2,plain,
! [U_2662,U_2661] :
( ! [U_2660] :
( U_2660 = k6_relat_1(U_2662)
| k5_relat_1(U_2660,U_2661) != U_2661
| ~ v2_funct_1(U_2661)
| ~ r1_tarski(k2_relat_1(U_2660),U_2662)
| k1_relat_1(U_2660) != U_2662
| k1_relat_1(U_2661) != U_2662
| ~ v1_funct_1(U_2660)
| ~ v1_relat_1(U_2660) )
| ~ v1_funct_1(U_2661)
| ~ v1_relat_1(U_2661) ),
inference(variable_rename,[status(thm)],[f_890_1]) ).
fof(f_890_3,plain,
! [U_2662,U_2661,U_2660] :
( U_2660 = k6_relat_1(U_2662)
| k5_relat_1(U_2660,U_2661) != U_2661
| ~ v2_funct_1(U_2661)
| ~ r1_tarski(k2_relat_1(U_2660),U_2662)
| k1_relat_1(U_2660) != U_2662
| k1_relat_1(U_2661) != U_2662
| ~ v1_funct_1(U_2660)
| ~ v1_relat_1(U_2660)
| ~ v1_funct_1(U_2661)
| ~ v1_relat_1(U_2661) ),
inference(definitional_conversion,[status(esa)],[f_890_2]) ).
cnf(f_890_4,plain,
( U_2660 = k6_relat_1(U_2662)
| k5_relat_1(U_2660,U_2661) != U_2661
| ~ v2_funct_1(U_2661)
| ~ r1_tarski(k2_relat_1(U_2660),U_2662)
| k1_relat_1(U_2660) != U_2662
| k1_relat_1(U_2661) != U_2662
| ~ v1_funct_1(U_2660)
| ~ v1_relat_1(U_2660)
| ~ v1_funct_1(U_2661)
| ~ v1_relat_1(U_2661) ),
inference(clausify,[status(thm)],[f_890_3]) ).
fof(f_891_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k1_relat_1(A),k2_relat_1(B))
| ~ v2_funct_1(A)
| k2_relat_1(k5_relat_1(B,A)) != k2_relat_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t51_funct_1]) ).
fof(f_891_2,plain,
! [U_2664] :
( ! [U_2663] :
( r1_tarski(k1_relat_1(U_2664),k2_relat_1(U_2663))
| ~ v2_funct_1(U_2664)
| k2_relat_1(k5_relat_1(U_2663,U_2664)) != k2_relat_1(U_2664)
| ~ v1_funct_1(U_2663)
| ~ v1_relat_1(U_2663) )
| ~ v1_funct_1(U_2664)
| ~ v1_relat_1(U_2664) ),
inference(variable_rename,[status(thm)],[f_891_1]) ).
fof(f_891_3,plain,
! [U_2663,U_2664] :
( r1_tarski(k1_relat_1(U_2664),k2_relat_1(U_2663))
| ~ v2_funct_1(U_2664)
| k2_relat_1(k5_relat_1(U_2663,U_2664)) != k2_relat_1(U_2664)
| ~ v1_funct_1(U_2663)
| ~ v1_relat_1(U_2663)
| ~ v1_funct_1(U_2664)
| ~ v1_relat_1(U_2664) ),
inference(definitional_conversion,[status(esa)],[f_891_2]) ).
cnf(f_891_4,plain,
( r1_tarski(k1_relat_1(U_2664),k2_relat_1(U_2663))
| ~ v2_funct_1(U_2664)
| k2_relat_1(k5_relat_1(U_2663,U_2664)) != k2_relat_1(U_2664)
| ~ v1_funct_1(U_2663)
| ~ v1_relat_1(U_2663)
| ~ v1_funct_1(U_2664)
| ~ v1_relat_1(U_2664) ),
inference(clausify,[status(thm)],[f_891_3]) ).
fof(f_892_1,plain,
! [A] : v2_funct_1(k6_relat_1(A)),
inference(fof_nnf,[status(thm)],[t52_funct_1]) ).
fof(f_892_2,plain,
! [U_2665] : v2_funct_1(k6_relat_1(U_2665)),
inference(variable_rename,[status(thm)],[f_892_1]) ).
fof(f_892_3,plain,
! [U_2665] : v2_funct_1(k6_relat_1(U_2665)),
inference(definitional_conversion,[status(esa)],[f_892_2]) ).
cnf(f_892_4,plain,
v2_funct_1(k6_relat_1(U_2665)),
inference(clausify,[status(thm)],[f_892_3]) ).
fof(f_893_1,plain,
! [A] :
( v2_funct_1(A)
| ! [B] :
( k5_relat_1(A,B) != k6_relat_1(k1_relat_1(A))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t53_funct_1]) ).
fof(f_893_2,plain,
! [U_2667] :
( v2_funct_1(U_2667)
| ! [U_2666] :
( k5_relat_1(U_2667,U_2666) != k6_relat_1(k1_relat_1(U_2667))
| ~ v1_funct_1(U_2666)
| ~ v1_relat_1(U_2666) )
| ~ v1_funct_1(U_2667)
| ~ v1_relat_1(U_2667) ),
inference(variable_rename,[status(thm)],[f_893_1]) ).
fof(f_893_3,plain,
! [U_2666,U_2667] :
( v2_funct_1(U_2667)
| k5_relat_1(U_2667,U_2666) != k6_relat_1(k1_relat_1(U_2667))
| ~ v1_funct_1(U_2666)
| ~ v1_relat_1(U_2666)
| ~ v1_funct_1(U_2667)
| ~ v1_relat_1(U_2667) ),
inference(definitional_conversion,[status(esa)],[f_893_2]) ).
cnf(f_893_4,plain,
( v2_funct_1(U_2667)
| k5_relat_1(U_2667,U_2666) != k6_relat_1(k1_relat_1(U_2667))
| ~ v1_funct_1(U_2666)
| ~ v1_relat_1(U_2666)
| ~ v1_funct_1(U_2667)
| ~ v1_relat_1(U_2667) ),
inference(clausify,[status(thm)],[f_893_3]) ).
fof(f_894_1,plain,
! [A] :
( k2_funct_1(A) = k4_relat_1(A)
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d9_funct_1]) ).
fof(f_894_2,plain,
! [U_2668] :
( k2_funct_1(U_2668) = k4_relat_1(U_2668)
| ~ v2_funct_1(U_2668)
| ~ v1_funct_1(U_2668)
| ~ v1_relat_1(U_2668) ),
inference(variable_rename,[status(thm)],[f_894_1]) ).
fof(f_894_3,plain,
! [U_2668] :
( k2_funct_1(U_2668) = k4_relat_1(U_2668)
| ~ v2_funct_1(U_2668)
| ~ v1_funct_1(U_2668)
| ~ v1_relat_1(U_2668) ),
inference(definitional_conversion,[status(esa)],[f_894_2]) ).
cnf(f_894_4,plain,
( k2_funct_1(U_2668) = k4_relat_1(U_2668)
| ~ v2_funct_1(U_2668)
| ~ v1_funct_1(U_2668)
| ~ v1_relat_1(U_2668) ),
inference(clausify,[status(thm)],[f_894_3]) ).
fof(f_895_1,plain,
! [A] :
( ! [B] :
( ( ( B = k2_funct_1(A)
| ? [C,D] :
( ( ( D != k1_funct_1(B,C)
| ~ r2_hidden(C,k2_relat_1(A)) )
& C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) )
| ( ( C != k1_funct_1(A,D)
| ~ r2_hidden(D,k1_relat_1(A)) )
& D = k1_funct_1(B,C)
& r2_hidden(C,k2_relat_1(A)) ) )
| k1_relat_1(B) != k2_relat_1(A) )
& ( ( ! [C,D] :
( ( ( D = k1_funct_1(B,C)
& r2_hidden(C,k2_relat_1(A)) )
| C != k1_funct_1(A,D)
| ~ r2_hidden(D,k1_relat_1(A)) )
& ( ( C = k1_funct_1(A,D)
& r2_hidden(D,k1_relat_1(A)) )
| D != k1_funct_1(B,C)
| ~ r2_hidden(C,k2_relat_1(A)) ) )
& k1_relat_1(B) = k2_relat_1(A) )
| B != k2_funct_1(A) ) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t54_funct_1]) ).
fof(f_895_2,plain,
! [U_2674] :
( ! [U_2673] :
( ( ( U_2673 = k2_funct_1(U_2674)
| ? [U_2672,U_2671] :
( ( ( U_2671 != k1_funct_1(U_2673,U_2672)
| ~ r2_hidden(U_2672,k2_relat_1(U_2674)) )
& U_2672 = k1_funct_1(U_2674,U_2671)
& r2_hidden(U_2671,k1_relat_1(U_2674)) )
| ( ( U_2672 != k1_funct_1(U_2674,U_2671)
| ~ r2_hidden(U_2671,k1_relat_1(U_2674)) )
& U_2671 = k1_funct_1(U_2673,U_2672)
& r2_hidden(U_2672,k2_relat_1(U_2674)) ) )
| k1_relat_1(U_2673) != k2_relat_1(U_2674) )
& ( ( ! [U_2670,U_2669] :
( ( ( U_2669 = k1_funct_1(U_2673,U_2670)
& r2_hidden(U_2670,k2_relat_1(U_2674)) )
| U_2670 != k1_funct_1(U_2674,U_2669)
| ~ r2_hidden(U_2669,k1_relat_1(U_2674)) )
& ( ( U_2670 = k1_funct_1(U_2674,U_2669)
& r2_hidden(U_2669,k1_relat_1(U_2674)) )
| U_2669 != k1_funct_1(U_2673,U_2670)
| ~ r2_hidden(U_2670,k2_relat_1(U_2674)) ) )
& k1_relat_1(U_2673) = k2_relat_1(U_2674) )
| U_2673 != k2_funct_1(U_2674) ) )
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673) )
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(variable_rename,[status(thm)],[f_895_1]) ).
fof(f_895_3,plain,
! [U_2674] :
( ! [U_2673] :
( ( ( U_2673 = k2_funct_1(U_2674)
| ? [U_2682,U_2680] :
( ( U_2680 != k1_funct_1(U_2673,U_2682)
| ~ r2_hidden(U_2682,k2_relat_1(U_2674)) )
& U_2682 = k1_funct_1(U_2674,U_2680)
& r2_hidden(U_2680,k1_relat_1(U_2674)) )
| ? [U_2681,U_2679] :
( ( U_2681 != k1_funct_1(U_2674,U_2679)
| ~ r2_hidden(U_2679,k1_relat_1(U_2674)) )
& U_2679 = k1_funct_1(U_2673,U_2681)
& r2_hidden(U_2681,k2_relat_1(U_2674)) )
| k1_relat_1(U_2673) != k2_relat_1(U_2674) )
& ( ( ! [U_2678,U_2676] :
( ( U_2676 = k1_funct_1(U_2673,U_2678)
& r2_hidden(U_2678,k2_relat_1(U_2674)) )
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674)) )
& ! [U_2677,U_2675] :
( ( U_2677 = k1_funct_1(U_2674,U_2675)
& r2_hidden(U_2675,k1_relat_1(U_2674)) )
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674)) )
& k1_relat_1(U_2673) = k2_relat_1(U_2674) )
| U_2673 != k2_funct_1(U_2674) ) )
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673) )
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(miniscope,[status(thm)],[f_895_2]) ).
fof(f_895_4,plain,
! [U_2674] :
( ! [U_2673] :
( ( ( U_2673 = k2_funct_1(U_2674)
| ? [U_2682,U_2680] :
( ( U_2680 != k1_funct_1(U_2673,U_2682)
| ~ r2_hidden(U_2682,k2_relat_1(U_2674)) )
& U_2682 = k1_funct_1(U_2674,U_2680)
& r2_hidden(U_2680,k1_relat_1(U_2674)) )
| ? [U_2679] :
( ( sK217(U_2674,U_2673) != k1_funct_1(U_2674,U_2679)
| ~ r2_hidden(U_2679,k1_relat_1(U_2674)) )
& U_2679 = k1_funct_1(U_2673,sK217(U_2674,U_2673))
& r2_hidden(sK217(U_2674,U_2673),k2_relat_1(U_2674)) )
| k1_relat_1(U_2673) != k2_relat_1(U_2674) )
& ( ( ! [U_2678,U_2676] :
( ( U_2676 = k1_funct_1(U_2673,U_2678)
& r2_hidden(U_2678,k2_relat_1(U_2674)) )
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674)) )
& ! [U_2677,U_2675] :
( ( U_2677 = k1_funct_1(U_2674,U_2675)
& r2_hidden(U_2675,k1_relat_1(U_2674)) )
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674)) )
& k1_relat_1(U_2673) = k2_relat_1(U_2674) )
| U_2673 != k2_funct_1(U_2674) ) )
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673) )
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK217]),skolemize(U_2681,sK217(U_2674,U_2673))],[f_895_3]) ).
fof(f_895_5,plain,
! [U_2674] :
( ! [U_2673] :
( ( ( U_2673 = k2_funct_1(U_2674)
| ? [U_2682,U_2680] :
( ( U_2680 != k1_funct_1(U_2673,U_2682)
| ~ r2_hidden(U_2682,k2_relat_1(U_2674)) )
& U_2682 = k1_funct_1(U_2674,U_2680)
& r2_hidden(U_2680,k1_relat_1(U_2674)) )
| ( ( sK217(U_2674,U_2673) != k1_funct_1(U_2674,sK218(U_2674,U_2673))
| ~ r2_hidden(sK218(U_2674,U_2673),k1_relat_1(U_2674)) )
& sK218(U_2674,U_2673) = k1_funct_1(U_2673,sK217(U_2674,U_2673))
& r2_hidden(sK217(U_2674,U_2673),k2_relat_1(U_2674)) )
| k1_relat_1(U_2673) != k2_relat_1(U_2674) )
& ( ( ! [U_2678,U_2676] :
( ( U_2676 = k1_funct_1(U_2673,U_2678)
& r2_hidden(U_2678,k2_relat_1(U_2674)) )
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674)) )
& ! [U_2677,U_2675] :
( ( U_2677 = k1_funct_1(U_2674,U_2675)
& r2_hidden(U_2675,k1_relat_1(U_2674)) )
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674)) )
& k1_relat_1(U_2673) = k2_relat_1(U_2674) )
| U_2673 != k2_funct_1(U_2674) ) )
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673) )
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK218]),skolemize(U_2679,sK218(U_2674,U_2673))],[f_895_4]) ).
fof(f_895_6,plain,
! [U_2674] :
( ! [U_2673] :
( ( ( U_2673 = k2_funct_1(U_2674)
| ? [U_2680] :
( ( U_2680 != k1_funct_1(U_2673,sK219(U_2674,U_2673))
| ~ r2_hidden(sK219(U_2674,U_2673),k2_relat_1(U_2674)) )
& sK219(U_2674,U_2673) = k1_funct_1(U_2674,U_2680)
& r2_hidden(U_2680,k1_relat_1(U_2674)) )
| ( ( sK217(U_2674,U_2673) != k1_funct_1(U_2674,sK218(U_2674,U_2673))
| ~ r2_hidden(sK218(U_2674,U_2673),k1_relat_1(U_2674)) )
& sK218(U_2674,U_2673) = k1_funct_1(U_2673,sK217(U_2674,U_2673))
& r2_hidden(sK217(U_2674,U_2673),k2_relat_1(U_2674)) )
| k1_relat_1(U_2673) != k2_relat_1(U_2674) )
& ( ( ! [U_2678,U_2676] :
( ( U_2676 = k1_funct_1(U_2673,U_2678)
& r2_hidden(U_2678,k2_relat_1(U_2674)) )
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674)) )
& ! [U_2677,U_2675] :
( ( U_2677 = k1_funct_1(U_2674,U_2675)
& r2_hidden(U_2675,k1_relat_1(U_2674)) )
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674)) )
& k1_relat_1(U_2673) = k2_relat_1(U_2674) )
| U_2673 != k2_funct_1(U_2674) ) )
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673) )
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK219]),skolemize(U_2682,sK219(U_2674,U_2673))],[f_895_5]) ).
fof(f_895_7,plain,
! [U_2674] :
( ! [U_2673] :
( ( ( U_2673 = k2_funct_1(U_2674)
| ( ( sK220(U_2674,U_2673) != k1_funct_1(U_2673,sK219(U_2674,U_2673))
| ~ r2_hidden(sK219(U_2674,U_2673),k2_relat_1(U_2674)) )
& sK219(U_2674,U_2673) = k1_funct_1(U_2674,sK220(U_2674,U_2673))
& r2_hidden(sK220(U_2674,U_2673),k1_relat_1(U_2674)) )
| ( ( sK217(U_2674,U_2673) != k1_funct_1(U_2674,sK218(U_2674,U_2673))
| ~ r2_hidden(sK218(U_2674,U_2673),k1_relat_1(U_2674)) )
& sK218(U_2674,U_2673) = k1_funct_1(U_2673,sK217(U_2674,U_2673))
& r2_hidden(sK217(U_2674,U_2673),k2_relat_1(U_2674)) )
| k1_relat_1(U_2673) != k2_relat_1(U_2674) )
& ( ( ! [U_2678,U_2676] :
( ( U_2676 = k1_funct_1(U_2673,U_2678)
& r2_hidden(U_2678,k2_relat_1(U_2674)) )
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674)) )
& ! [U_2677,U_2675] :
( ( U_2677 = k1_funct_1(U_2674,U_2675)
& r2_hidden(U_2675,k1_relat_1(U_2674)) )
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674)) )
& k1_relat_1(U_2673) = k2_relat_1(U_2674) )
| U_2673 != k2_funct_1(U_2674) ) )
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673) )
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK220]),skolemize(U_2680,sK220(U_2674,U_2673))],[f_895_6]) ).
fof(f_895_8,plain,
( ! [U_2674,U_2673] :
( sK220(U_2674,U_2673) != k1_funct_1(U_2673,sK219(U_2674,U_2673))
| ~ r2_hidden(sK219(U_2674,U_2673),k2_relat_1(U_2674))
| ~ sP330(U_2674,U_2673) )
& ! [U_2674,U_2673] :
( sK219(U_2674,U_2673) = k1_funct_1(U_2674,sK220(U_2674,U_2673))
| ~ sP330(U_2674,U_2673) )
& ! [U_2674,U_2673] :
( r2_hidden(sK220(U_2674,U_2673),k1_relat_1(U_2674))
| ~ sP330(U_2674,U_2673) )
& ! [U_2674,U_2673] :
( sK217(U_2674,U_2673) != k1_funct_1(U_2674,sK218(U_2674,U_2673))
| ~ r2_hidden(sK218(U_2674,U_2673),k1_relat_1(U_2674))
| ~ sP329(U_2674,U_2673) )
& ! [U_2674,U_2673] :
( sK218(U_2674,U_2673) = k1_funct_1(U_2673,sK217(U_2674,U_2673))
| ~ sP329(U_2674,U_2673) )
& ! [U_2674,U_2673] :
( r2_hidden(sK217(U_2674,U_2673),k2_relat_1(U_2674))
| ~ sP329(U_2674,U_2673) )
& ! [U_2674,U_2673,U_2676,U_2678] :
( U_2676 = k1_funct_1(U_2673,U_2678)
| ~ sP327(U_2674,U_2673,U_2676,U_2678) )
& ! [U_2674,U_2673,U_2676,U_2678] :
( r2_hidden(U_2678,k2_relat_1(U_2674))
| ~ sP327(U_2674,U_2673,U_2676,U_2678) )
& ! [U_2674,U_2677,U_2675] :
( U_2677 = k1_funct_1(U_2674,U_2675)
| ~ sP326(U_2674,U_2677,U_2675) )
& ! [U_2674,U_2677,U_2675] :
( r2_hidden(U_2675,k1_relat_1(U_2674))
| ~ sP326(U_2674,U_2677,U_2675) )
& ! [U_2674,U_2673,U_2677,U_2676,U_2678,U_2675] :
( sP327(U_2674,U_2673,U_2676,U_2678)
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674))
| ~ sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) )
& ! [U_2674,U_2673,U_2677,U_2676,U_2678,U_2675] :
( sP326(U_2674,U_2677,U_2675)
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674))
| ~ sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) )
& ! [U_2674,U_2673,U_2677,U_2676,U_2678,U_2675] :
( k1_relat_1(U_2673) = k2_relat_1(U_2674)
| ~ sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) )
& ! [U_2674,U_2673,U_2677,U_2676,U_2678,U_2675] :
( U_2673 = k2_funct_1(U_2674)
| sP330(U_2674,U_2673)
| sP329(U_2674,U_2673)
| k1_relat_1(U_2673) != k2_relat_1(U_2674)
| ~ sP331(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) )
& ! [U_2674,U_2673,U_2677,U_2676,U_2678,U_2675] :
( sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675)
| U_2673 != k2_funct_1(U_2674)
| ~ sP331(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) )
& ! [U_2674,U_2673,U_2677,U_2676,U_2678,U_2675] :
( sP331(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675)
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673)
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP326,sP327,sP328,sP329,sP330,sP331])],[f_895_7]) ).
cnf(f_895_9,plain,
( sP331(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675)
| ~ v1_funct_1(U_2673)
| ~ v1_relat_1(U_2673)
| ~ v2_funct_1(U_2674)
| ~ v1_funct_1(U_2674)
| ~ v1_relat_1(U_2674) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_10,plain,
( sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675)
| U_2673 != k2_funct_1(U_2674)
| ~ sP331(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_11,plain,
( U_2673 = k2_funct_1(U_2674)
| sP330(U_2674,U_2673)
| sP329(U_2674,U_2673)
| k1_relat_1(U_2673) != k2_relat_1(U_2674)
| ~ sP331(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_12,plain,
( k1_relat_1(U_2673) = k2_relat_1(U_2674)
| ~ sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_13,plain,
( sP326(U_2674,U_2677,U_2675)
| U_2675 != k1_funct_1(U_2673,U_2677)
| ~ r2_hidden(U_2677,k2_relat_1(U_2674))
| ~ sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_14,plain,
( sP327(U_2674,U_2673,U_2676,U_2678)
| U_2678 != k1_funct_1(U_2674,U_2676)
| ~ r2_hidden(U_2676,k1_relat_1(U_2674))
| ~ sP328(U_2674,U_2673,U_2677,U_2676,U_2678,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_15,plain,
( r2_hidden(U_2675,k1_relat_1(U_2674))
| ~ sP326(U_2674,U_2677,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_16,plain,
( U_2677 = k1_funct_1(U_2674,U_2675)
| ~ sP326(U_2674,U_2677,U_2675) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_17,plain,
( r2_hidden(U_2678,k2_relat_1(U_2674))
| ~ sP327(U_2674,U_2673,U_2676,U_2678) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_18,plain,
( U_2676 = k1_funct_1(U_2673,U_2678)
| ~ sP327(U_2674,U_2673,U_2676,U_2678) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_19,plain,
( r2_hidden(sK217(U_2674,U_2673),k2_relat_1(U_2674))
| ~ sP329(U_2674,U_2673) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_20,plain,
( sK218(U_2674,U_2673) = k1_funct_1(U_2673,sK217(U_2674,U_2673))
| ~ sP329(U_2674,U_2673) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_21,plain,
( sK217(U_2674,U_2673) != k1_funct_1(U_2674,sK218(U_2674,U_2673))
| ~ r2_hidden(sK218(U_2674,U_2673),k1_relat_1(U_2674))
| ~ sP329(U_2674,U_2673) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_22,plain,
( r2_hidden(sK220(U_2674,U_2673),k1_relat_1(U_2674))
| ~ sP330(U_2674,U_2673) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_23,plain,
( sK219(U_2674,U_2673) = k1_funct_1(U_2674,sK220(U_2674,U_2673))
| ~ sP330(U_2674,U_2673) ),
inference(clausify,[status(thm)],[f_895_8]) ).
cnf(f_895_24,plain,
( sK220(U_2674,U_2673) != k1_funct_1(U_2673,sK219(U_2674,U_2673))
| ~ r2_hidden(sK219(U_2674,U_2673),k2_relat_1(U_2674))
| ~ sP330(U_2674,U_2673) ),
inference(clausify,[status(thm)],[f_895_8]) ).
fof(f_896_1,plain,
! [A] :
( ( k1_relat_1(A) = k2_relat_1(k2_funct_1(A))
& k2_relat_1(A) = k1_relat_1(k2_funct_1(A)) )
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t55_funct_1]) ).
fof(f_896_2,plain,
! [U_2683] :
( ( k1_relat_1(U_2683) = k2_relat_1(k2_funct_1(U_2683))
& k2_relat_1(U_2683) = k1_relat_1(k2_funct_1(U_2683)) )
| ~ v2_funct_1(U_2683)
| ~ v1_funct_1(U_2683)
| ~ v1_relat_1(U_2683) ),
inference(variable_rename,[status(thm)],[f_896_1]) ).
fof(f_896_3,plain,
( ! [U_2683] :
( k1_relat_1(U_2683) = k2_relat_1(k2_funct_1(U_2683))
| ~ sP332(U_2683) )
& ! [U_2683] :
( k2_relat_1(U_2683) = k1_relat_1(k2_funct_1(U_2683))
| ~ sP332(U_2683) )
& ! [U_2683] :
( sP332(U_2683)
| ~ v2_funct_1(U_2683)
| ~ v1_funct_1(U_2683)
| ~ v1_relat_1(U_2683) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP332])],[f_896_2]) ).
cnf(f_896_4,plain,
( sP332(U_2683)
| ~ v2_funct_1(U_2683)
| ~ v1_funct_1(U_2683)
| ~ v1_relat_1(U_2683) ),
inference(clausify,[status(thm)],[f_896_3]) ).
cnf(f_896_5,plain,
( k2_relat_1(U_2683) = k1_relat_1(k2_funct_1(U_2683))
| ~ sP332(U_2683) ),
inference(clausify,[status(thm)],[f_896_3]) ).
cnf(f_896_6,plain,
( k1_relat_1(U_2683) = k2_relat_1(k2_funct_1(U_2683))
| ~ sP332(U_2683) ),
inference(clausify,[status(thm)],[f_896_3]) ).
fof(f_897_1,plain,
! [A,B] :
( ( A = k1_funct_1(k5_relat_1(B,k2_funct_1(B)),A)
& A = k1_funct_1(k2_funct_1(B),k1_funct_1(B,A)) )
| ~ r2_hidden(A,k1_relat_1(B))
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t56_funct_1]) ).
fof(f_897_2,plain,
! [U_2685,U_2684] :
( ( U_2685 = k1_funct_1(k5_relat_1(U_2684,k2_funct_1(U_2684)),U_2685)
& U_2685 = k1_funct_1(k2_funct_1(U_2684),k1_funct_1(U_2684,U_2685)) )
| ~ r2_hidden(U_2685,k1_relat_1(U_2684))
| ~ v2_funct_1(U_2684)
| ~ v1_funct_1(U_2684)
| ~ v1_relat_1(U_2684) ),
inference(variable_rename,[status(thm)],[f_897_1]) ).
fof(f_897_3,plain,
( ! [U_2685,U_2684] :
( U_2685 = k1_funct_1(k5_relat_1(U_2684,k2_funct_1(U_2684)),U_2685)
| ~ sP333(U_2685,U_2684) )
& ! [U_2685,U_2684] :
( U_2685 = k1_funct_1(k2_funct_1(U_2684),k1_funct_1(U_2684,U_2685))
| ~ sP333(U_2685,U_2684) )
& ! [U_2685,U_2684] :
( sP333(U_2685,U_2684)
| ~ r2_hidden(U_2685,k1_relat_1(U_2684))
| ~ v2_funct_1(U_2684)
| ~ v1_funct_1(U_2684)
| ~ v1_relat_1(U_2684) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP333])],[f_897_2]) ).
cnf(f_897_4,plain,
( sP333(U_2685,U_2684)
| ~ r2_hidden(U_2685,k1_relat_1(U_2684))
| ~ v2_funct_1(U_2684)
| ~ v1_funct_1(U_2684)
| ~ v1_relat_1(U_2684) ),
inference(clausify,[status(thm)],[f_897_3]) ).
cnf(f_897_5,plain,
( U_2685 = k1_funct_1(k2_funct_1(U_2684),k1_funct_1(U_2684,U_2685))
| ~ sP333(U_2685,U_2684) ),
inference(clausify,[status(thm)],[f_897_3]) ).
cnf(f_897_6,plain,
( U_2685 = k1_funct_1(k5_relat_1(U_2684,k2_funct_1(U_2684)),U_2685)
| ~ sP333(U_2685,U_2684) ),
inference(clausify,[status(thm)],[f_897_3]) ).
fof(f_898_1,plain,
! [A,B] :
( ( A = k1_funct_1(k5_relat_1(k2_funct_1(B),B),A)
& A = k1_funct_1(B,k1_funct_1(k2_funct_1(B),A)) )
| ~ r2_hidden(A,k2_relat_1(B))
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t57_funct_1]) ).
fof(f_898_2,plain,
! [U_2687,U_2686] :
( ( U_2687 = k1_funct_1(k5_relat_1(k2_funct_1(U_2686),U_2686),U_2687)
& U_2687 = k1_funct_1(U_2686,k1_funct_1(k2_funct_1(U_2686),U_2687)) )
| ~ r2_hidden(U_2687,k2_relat_1(U_2686))
| ~ v2_funct_1(U_2686)
| ~ v1_funct_1(U_2686)
| ~ v1_relat_1(U_2686) ),
inference(variable_rename,[status(thm)],[f_898_1]) ).
fof(f_898_3,plain,
( ! [U_2687,U_2686] :
( U_2687 = k1_funct_1(k5_relat_1(k2_funct_1(U_2686),U_2686),U_2687)
| ~ sP334(U_2687,U_2686) )
& ! [U_2687,U_2686] :
( U_2687 = k1_funct_1(U_2686,k1_funct_1(k2_funct_1(U_2686),U_2687))
| ~ sP334(U_2687,U_2686) )
& ! [U_2687,U_2686] :
( sP334(U_2687,U_2686)
| ~ r2_hidden(U_2687,k2_relat_1(U_2686))
| ~ v2_funct_1(U_2686)
| ~ v1_funct_1(U_2686)
| ~ v1_relat_1(U_2686) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP334])],[f_898_2]) ).
cnf(f_898_4,plain,
( sP334(U_2687,U_2686)
| ~ r2_hidden(U_2687,k2_relat_1(U_2686))
| ~ v2_funct_1(U_2686)
| ~ v1_funct_1(U_2686)
| ~ v1_relat_1(U_2686) ),
inference(clausify,[status(thm)],[f_898_3]) ).
cnf(f_898_5,plain,
( U_2687 = k1_funct_1(U_2686,k1_funct_1(k2_funct_1(U_2686),U_2687))
| ~ sP334(U_2687,U_2686) ),
inference(clausify,[status(thm)],[f_898_3]) ).
cnf(f_898_6,plain,
( U_2687 = k1_funct_1(k5_relat_1(k2_funct_1(U_2686),U_2686),U_2687)
| ~ sP334(U_2687,U_2686) ),
inference(clausify,[status(thm)],[f_898_3]) ).
fof(f_899_1,plain,
! [A] :
( ( k2_relat_1(k5_relat_1(A,k2_funct_1(A))) = k1_relat_1(A)
& k1_relat_1(k5_relat_1(A,k2_funct_1(A))) = k1_relat_1(A) )
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t58_funct_1]) ).
fof(f_899_2,plain,
! [U_2688] :
( ( k2_relat_1(k5_relat_1(U_2688,k2_funct_1(U_2688))) = k1_relat_1(U_2688)
& k1_relat_1(k5_relat_1(U_2688,k2_funct_1(U_2688))) = k1_relat_1(U_2688) )
| ~ v2_funct_1(U_2688)
| ~ v1_funct_1(U_2688)
| ~ v1_relat_1(U_2688) ),
inference(variable_rename,[status(thm)],[f_899_1]) ).
fof(f_899_3,plain,
( ! [U_2688] :
( k2_relat_1(k5_relat_1(U_2688,k2_funct_1(U_2688))) = k1_relat_1(U_2688)
| ~ sP335(U_2688) )
& ! [U_2688] :
( k1_relat_1(k5_relat_1(U_2688,k2_funct_1(U_2688))) = k1_relat_1(U_2688)
| ~ sP335(U_2688) )
& ! [U_2688] :
( sP335(U_2688)
| ~ v2_funct_1(U_2688)
| ~ v1_funct_1(U_2688)
| ~ v1_relat_1(U_2688) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP335])],[f_899_2]) ).
cnf(f_899_4,plain,
( sP335(U_2688)
| ~ v2_funct_1(U_2688)
| ~ v1_funct_1(U_2688)
| ~ v1_relat_1(U_2688) ),
inference(clausify,[status(thm)],[f_899_3]) ).
cnf(f_899_5,plain,
( k1_relat_1(k5_relat_1(U_2688,k2_funct_1(U_2688))) = k1_relat_1(U_2688)
| ~ sP335(U_2688) ),
inference(clausify,[status(thm)],[f_899_3]) ).
cnf(f_899_6,plain,
( k2_relat_1(k5_relat_1(U_2688,k2_funct_1(U_2688))) = k1_relat_1(U_2688)
| ~ sP335(U_2688) ),
inference(clausify,[status(thm)],[f_899_3]) ).
fof(f_900_1,plain,
! [A] :
( ( k2_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A)
& k1_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A) )
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t59_funct_1]) ).
fof(f_900_2,plain,
! [U_2689] :
( ( k2_relat_1(k5_relat_1(k2_funct_1(U_2689),U_2689)) = k2_relat_1(U_2689)
& k1_relat_1(k5_relat_1(k2_funct_1(U_2689),U_2689)) = k2_relat_1(U_2689) )
| ~ v2_funct_1(U_2689)
| ~ v1_funct_1(U_2689)
| ~ v1_relat_1(U_2689) ),
inference(variable_rename,[status(thm)],[f_900_1]) ).
fof(f_900_3,plain,
( ! [U_2689] :
( k2_relat_1(k5_relat_1(k2_funct_1(U_2689),U_2689)) = k2_relat_1(U_2689)
| ~ sP336(U_2689) )
& ! [U_2689] :
( k1_relat_1(k5_relat_1(k2_funct_1(U_2689),U_2689)) = k2_relat_1(U_2689)
| ~ sP336(U_2689) )
& ! [U_2689] :
( sP336(U_2689)
| ~ v2_funct_1(U_2689)
| ~ v1_funct_1(U_2689)
| ~ v1_relat_1(U_2689) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP336])],[f_900_2]) ).
cnf(f_900_4,plain,
( sP336(U_2689)
| ~ v2_funct_1(U_2689)
| ~ v1_funct_1(U_2689)
| ~ v1_relat_1(U_2689) ),
inference(clausify,[status(thm)],[f_900_3]) ).
cnf(f_900_5,plain,
( k1_relat_1(k5_relat_1(k2_funct_1(U_2689),U_2689)) = k2_relat_1(U_2689)
| ~ sP336(U_2689) ),
inference(clausify,[status(thm)],[f_900_3]) ).
cnf(f_900_6,plain,
( k2_relat_1(k5_relat_1(k2_funct_1(U_2689),U_2689)) = k2_relat_1(U_2689)
| ~ sP336(U_2689) ),
inference(clausify,[status(thm)],[f_900_3]) ).
fof(f_901_1,plain,
! [A] :
( ! [B] :
( B = k2_funct_1(A)
| ? [C,D] :
( ( ( k1_funct_1(A,C) != D
& k1_funct_1(B,D) = C )
| ( k1_funct_1(B,D) != C
& k1_funct_1(A,C) = D ) )
& r2_hidden(D,k1_relat_1(B))
& r2_hidden(C,k1_relat_1(A)) )
| k2_relat_1(A) != k1_relat_1(B)
| k1_relat_1(A) != k2_relat_1(B)
| ~ v2_funct_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t60_funct_1]) ).
fof(f_901_2,plain,
! [U_2693] :
( ! [U_2692] :
( U_2692 = k2_funct_1(U_2693)
| ? [U_2691,U_2690] :
( ( ( k1_funct_1(U_2693,U_2691) != U_2690
& k1_funct_1(U_2692,U_2690) = U_2691 )
| ( k1_funct_1(U_2692,U_2690) != U_2691
& k1_funct_1(U_2693,U_2691) = U_2690 ) )
& r2_hidden(U_2690,k1_relat_1(U_2692))
& r2_hidden(U_2691,k1_relat_1(U_2693)) )
| k2_relat_1(U_2693) != k1_relat_1(U_2692)
| k1_relat_1(U_2693) != k2_relat_1(U_2692)
| ~ v2_funct_1(U_2693)
| ~ v1_funct_1(U_2692)
| ~ v1_relat_1(U_2692) )
| ~ v1_funct_1(U_2693)
| ~ v1_relat_1(U_2693) ),
inference(variable_rename,[status(thm)],[f_901_1]) ).
fof(f_901_3,plain,
! [U_2693] :
( ! [U_2692] :
( U_2692 = k2_funct_1(U_2693)
| ? [U_2690] :
( ( ( k1_funct_1(U_2693,sK221(U_2693,U_2692)) != U_2690
& k1_funct_1(U_2692,U_2690) = sK221(U_2693,U_2692) )
| ( k1_funct_1(U_2692,U_2690) != sK221(U_2693,U_2692)
& k1_funct_1(U_2693,sK221(U_2693,U_2692)) = U_2690 ) )
& r2_hidden(U_2690,k1_relat_1(U_2692))
& r2_hidden(sK221(U_2693,U_2692),k1_relat_1(U_2693)) )
| k2_relat_1(U_2693) != k1_relat_1(U_2692)
| k1_relat_1(U_2693) != k2_relat_1(U_2692)
| ~ v2_funct_1(U_2693)
| ~ v1_funct_1(U_2692)
| ~ v1_relat_1(U_2692) )
| ~ v1_funct_1(U_2693)
| ~ v1_relat_1(U_2693) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK221]),skolemize(U_2691,sK221(U_2693,U_2692))],[f_901_2]) ).
fof(f_901_4,plain,
! [U_2693] :
( ! [U_2692] :
( U_2692 = k2_funct_1(U_2693)
| ( ( ( k1_funct_1(U_2693,sK221(U_2693,U_2692)) != sK222(U_2693,U_2692)
& k1_funct_1(U_2692,sK222(U_2693,U_2692)) = sK221(U_2693,U_2692) )
| ( k1_funct_1(U_2692,sK222(U_2693,U_2692)) != sK221(U_2693,U_2692)
& k1_funct_1(U_2693,sK221(U_2693,U_2692)) = sK222(U_2693,U_2692) ) )
& r2_hidden(sK222(U_2693,U_2692),k1_relat_1(U_2692))
& r2_hidden(sK221(U_2693,U_2692),k1_relat_1(U_2693)) )
| k2_relat_1(U_2693) != k1_relat_1(U_2692)
| k1_relat_1(U_2693) != k2_relat_1(U_2692)
| ~ v2_funct_1(U_2693)
| ~ v1_funct_1(U_2692)
| ~ v1_relat_1(U_2692) )
| ~ v1_funct_1(U_2693)
| ~ v1_relat_1(U_2693) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK222]),skolemize(U_2690,sK222(U_2693,U_2692))],[f_901_3]) ).
fof(f_901_5,plain,
( ! [U_2692,U_2693] :
( k1_funct_1(U_2693,sK221(U_2693,U_2692)) != sK222(U_2693,U_2692)
| ~ sP338(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( k1_funct_1(U_2692,sK222(U_2693,U_2692)) = sK221(U_2693,U_2692)
| ~ sP338(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( k1_funct_1(U_2692,sK222(U_2693,U_2692)) != sK221(U_2693,U_2692)
| ~ sP337(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( k1_funct_1(U_2693,sK221(U_2693,U_2692)) = sK222(U_2693,U_2692)
| ~ sP337(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( sP338(U_2692,U_2693)
| sP337(U_2692,U_2693)
| ~ sP339(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( r2_hidden(sK222(U_2693,U_2692),k1_relat_1(U_2692))
| ~ sP339(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( r2_hidden(sK221(U_2693,U_2692),k1_relat_1(U_2693))
| ~ sP339(U_2692,U_2693) )
& ! [U_2692,U_2693] :
( U_2692 = k2_funct_1(U_2693)
| sP339(U_2692,U_2693)
| k2_relat_1(U_2693) != k1_relat_1(U_2692)
| k1_relat_1(U_2693) != k2_relat_1(U_2692)
| ~ v2_funct_1(U_2693)
| ~ v1_funct_1(U_2692)
| ~ v1_relat_1(U_2692)
| ~ v1_funct_1(U_2693)
| ~ v1_relat_1(U_2693) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP337,sP338,sP339])],[f_901_4]) ).
cnf(f_901_6,plain,
( U_2692 = k2_funct_1(U_2693)
| sP339(U_2692,U_2693)
| k2_relat_1(U_2693) != k1_relat_1(U_2692)
| k1_relat_1(U_2693) != k2_relat_1(U_2692)
| ~ v2_funct_1(U_2693)
| ~ v1_funct_1(U_2692)
| ~ v1_relat_1(U_2692)
| ~ v1_funct_1(U_2693)
| ~ v1_relat_1(U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_7,plain,
( r2_hidden(sK221(U_2693,U_2692),k1_relat_1(U_2693))
| ~ sP339(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_8,plain,
( r2_hidden(sK222(U_2693,U_2692),k1_relat_1(U_2692))
| ~ sP339(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_9,plain,
( sP338(U_2692,U_2693)
| sP337(U_2692,U_2693)
| ~ sP339(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_10,plain,
( k1_funct_1(U_2693,sK221(U_2693,U_2692)) = sK222(U_2693,U_2692)
| ~ sP337(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_11,plain,
( k1_funct_1(U_2692,sK222(U_2693,U_2692)) != sK221(U_2693,U_2692)
| ~ sP337(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_12,plain,
( k1_funct_1(U_2692,sK222(U_2693,U_2692)) = sK221(U_2693,U_2692)
| ~ sP338(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
cnf(f_901_13,plain,
( k1_funct_1(U_2693,sK221(U_2693,U_2692)) != sK222(U_2693,U_2692)
| ~ sP338(U_2692,U_2693) ),
inference(clausify,[status(thm)],[f_901_5]) ).
fof(f_902_1,plain,
! [A] :
( ( k5_relat_1(k2_funct_1(A),A) = k6_relat_1(k2_relat_1(A))
& k5_relat_1(A,k2_funct_1(A)) = k6_relat_1(k1_relat_1(A)) )
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t61_funct_1]) ).
fof(f_902_2,plain,
! [U_2694] :
( ( k5_relat_1(k2_funct_1(U_2694),U_2694) = k6_relat_1(k2_relat_1(U_2694))
& k5_relat_1(U_2694,k2_funct_1(U_2694)) = k6_relat_1(k1_relat_1(U_2694)) )
| ~ v2_funct_1(U_2694)
| ~ v1_funct_1(U_2694)
| ~ v1_relat_1(U_2694) ),
inference(variable_rename,[status(thm)],[f_902_1]) ).
fof(f_902_3,plain,
( ! [U_2694] :
( k5_relat_1(k2_funct_1(U_2694),U_2694) = k6_relat_1(k2_relat_1(U_2694))
| ~ sP340(U_2694) )
& ! [U_2694] :
( k5_relat_1(U_2694,k2_funct_1(U_2694)) = k6_relat_1(k1_relat_1(U_2694))
| ~ sP340(U_2694) )
& ! [U_2694] :
( sP340(U_2694)
| ~ v2_funct_1(U_2694)
| ~ v1_funct_1(U_2694)
| ~ v1_relat_1(U_2694) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP340])],[f_902_2]) ).
cnf(f_902_4,plain,
( sP340(U_2694)
| ~ v2_funct_1(U_2694)
| ~ v1_funct_1(U_2694)
| ~ v1_relat_1(U_2694) ),
inference(clausify,[status(thm)],[f_902_3]) ).
cnf(f_902_5,plain,
( k5_relat_1(U_2694,k2_funct_1(U_2694)) = k6_relat_1(k1_relat_1(U_2694))
| ~ sP340(U_2694) ),
inference(clausify,[status(thm)],[f_902_3]) ).
cnf(f_902_6,plain,
( k5_relat_1(k2_funct_1(U_2694),U_2694) = k6_relat_1(k2_relat_1(U_2694))
| ~ sP340(U_2694) ),
inference(clausify,[status(thm)],[f_902_3]) ).
fof(f_903_1,plain,
! [A] :
( v2_funct_1(k2_funct_1(A))
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t62_funct_1]) ).
fof(f_903_2,plain,
! [U_2695] :
( v2_funct_1(k2_funct_1(U_2695))
| ~ v2_funct_1(U_2695)
| ~ v1_funct_1(U_2695)
| ~ v1_relat_1(U_2695) ),
inference(variable_rename,[status(thm)],[f_903_1]) ).
fof(f_903_3,plain,
! [U_2695] :
( v2_funct_1(k2_funct_1(U_2695))
| ~ v2_funct_1(U_2695)
| ~ v1_funct_1(U_2695)
| ~ v1_relat_1(U_2695) ),
inference(definitional_conversion,[status(esa)],[f_903_2]) ).
cnf(f_903_4,plain,
( v2_funct_1(k2_funct_1(U_2695))
| ~ v2_funct_1(U_2695)
| ~ v1_funct_1(U_2695)
| ~ v1_relat_1(U_2695) ),
inference(clausify,[status(thm)],[f_903_3]) ).
fof(f_904_1,plain,
! [A] :
( ! [B] :
( B = k2_funct_1(A)
| k5_relat_1(A,B) != k6_relat_1(k1_relat_1(A))
| k2_relat_1(A) != k1_relat_1(B)
| ~ v2_funct_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t63_funct_1]) ).
fof(f_904_2,plain,
! [U_2697] :
( ! [U_2696] :
( U_2696 = k2_funct_1(U_2697)
| k5_relat_1(U_2697,U_2696) != k6_relat_1(k1_relat_1(U_2697))
| k2_relat_1(U_2697) != k1_relat_1(U_2696)
| ~ v2_funct_1(U_2697)
| ~ v1_funct_1(U_2696)
| ~ v1_relat_1(U_2696) )
| ~ v1_funct_1(U_2697)
| ~ v1_relat_1(U_2697) ),
inference(variable_rename,[status(thm)],[f_904_1]) ).
fof(f_904_3,plain,
! [U_2697,U_2696] :
( U_2696 = k2_funct_1(U_2697)
| k5_relat_1(U_2697,U_2696) != k6_relat_1(k1_relat_1(U_2697))
| k2_relat_1(U_2697) != k1_relat_1(U_2696)
| ~ v2_funct_1(U_2697)
| ~ v1_funct_1(U_2696)
| ~ v1_relat_1(U_2696)
| ~ v1_funct_1(U_2697)
| ~ v1_relat_1(U_2697) ),
inference(definitional_conversion,[status(esa)],[f_904_2]) ).
cnf(f_904_4,plain,
( U_2696 = k2_funct_1(U_2697)
| k5_relat_1(U_2697,U_2696) != k6_relat_1(k1_relat_1(U_2697))
| k2_relat_1(U_2697) != k1_relat_1(U_2696)
| ~ v2_funct_1(U_2697)
| ~ v1_funct_1(U_2696)
| ~ v1_relat_1(U_2696)
| ~ v1_funct_1(U_2697)
| ~ v1_relat_1(U_2697) ),
inference(clausify,[status(thm)],[f_904_3]) ).
fof(f_905_1,plain,
! [A] :
( ! [B] :
( B = k2_funct_1(A)
| k5_relat_1(B,A) != k6_relat_1(k2_relat_1(A))
| k2_relat_1(B) != k1_relat_1(A)
| ~ v2_funct_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t64_funct_1]) ).
fof(f_905_2,plain,
! [U_2699] :
( ! [U_2698] :
( U_2698 = k2_funct_1(U_2699)
| k5_relat_1(U_2698,U_2699) != k6_relat_1(k2_relat_1(U_2699))
| k2_relat_1(U_2698) != k1_relat_1(U_2699)
| ~ v2_funct_1(U_2699)
| ~ v1_funct_1(U_2698)
| ~ v1_relat_1(U_2698) )
| ~ v1_funct_1(U_2699)
| ~ v1_relat_1(U_2699) ),
inference(variable_rename,[status(thm)],[f_905_1]) ).
fof(f_905_3,plain,
! [U_2698,U_2699] :
( U_2698 = k2_funct_1(U_2699)
| k5_relat_1(U_2698,U_2699) != k6_relat_1(k2_relat_1(U_2699))
| k2_relat_1(U_2698) != k1_relat_1(U_2699)
| ~ v2_funct_1(U_2699)
| ~ v1_funct_1(U_2698)
| ~ v1_relat_1(U_2698)
| ~ v1_funct_1(U_2699)
| ~ v1_relat_1(U_2699) ),
inference(definitional_conversion,[status(esa)],[f_905_2]) ).
cnf(f_905_4,plain,
( U_2698 = k2_funct_1(U_2699)
| k5_relat_1(U_2698,U_2699) != k6_relat_1(k2_relat_1(U_2699))
| k2_relat_1(U_2698) != k1_relat_1(U_2699)
| ~ v2_funct_1(U_2699)
| ~ v1_funct_1(U_2698)
| ~ v1_relat_1(U_2698)
| ~ v1_funct_1(U_2699)
| ~ v1_relat_1(U_2699) ),
inference(clausify,[status(thm)],[f_905_3]) ).
fof(f_906_1,plain,
! [A] :
( k2_funct_1(k2_funct_1(A)) = A
| ~ v2_funct_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t65_funct_1]) ).
fof(f_906_2,plain,
! [U_2700] :
( k2_funct_1(k2_funct_1(U_2700)) = U_2700
| ~ v2_funct_1(U_2700)
| ~ v1_funct_1(U_2700)
| ~ v1_relat_1(U_2700) ),
inference(variable_rename,[status(thm)],[f_906_1]) ).
fof(f_906_3,plain,
! [U_2700] :
( k2_funct_1(k2_funct_1(U_2700)) = U_2700
| ~ v2_funct_1(U_2700)
| ~ v1_funct_1(U_2700)
| ~ v1_relat_1(U_2700) ),
inference(definitional_conversion,[status(esa)],[f_906_2]) ).
cnf(f_906_4,plain,
( k2_funct_1(k2_funct_1(U_2700)) = U_2700
| ~ v2_funct_1(U_2700)
| ~ v1_funct_1(U_2700)
| ~ v1_relat_1(U_2700) ),
inference(clausify,[status(thm)],[f_906_3]) ).
fof(f_907_1,plain,
! [A] :
( ! [B] :
( k2_funct_1(k5_relat_1(A,B)) = k5_relat_1(k2_funct_1(B),k2_funct_1(A))
| ~ v2_funct_1(B)
| ~ v2_funct_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t66_funct_1]) ).
fof(f_907_2,plain,
! [U_2702] :
( ! [U_2701] :
( k2_funct_1(k5_relat_1(U_2702,U_2701)) = k5_relat_1(k2_funct_1(U_2701),k2_funct_1(U_2702))
| ~ v2_funct_1(U_2701)
| ~ v2_funct_1(U_2702)
| ~ v1_funct_1(U_2701)
| ~ v1_relat_1(U_2701) )
| ~ v1_funct_1(U_2702)
| ~ v1_relat_1(U_2702) ),
inference(variable_rename,[status(thm)],[f_907_1]) ).
fof(f_907_3,plain,
! [U_2701,U_2702] :
( k2_funct_1(k5_relat_1(U_2702,U_2701)) = k5_relat_1(k2_funct_1(U_2701),k2_funct_1(U_2702))
| ~ v2_funct_1(U_2701)
| ~ v2_funct_1(U_2702)
| ~ v1_funct_1(U_2701)
| ~ v1_relat_1(U_2701)
| ~ v1_funct_1(U_2702)
| ~ v1_relat_1(U_2702) ),
inference(definitional_conversion,[status(esa)],[f_907_2]) ).
cnf(f_907_4,plain,
( k2_funct_1(k5_relat_1(U_2702,U_2701)) = k5_relat_1(k2_funct_1(U_2701),k2_funct_1(U_2702))
| ~ v2_funct_1(U_2701)
| ~ v2_funct_1(U_2702)
| ~ v1_funct_1(U_2701)
| ~ v1_relat_1(U_2701)
| ~ v1_funct_1(U_2702)
| ~ v1_relat_1(U_2702) ),
inference(clausify,[status(thm)],[f_907_3]) ).
fof(f_908_1,plain,
! [A] : k2_funct_1(k6_relat_1(A)) = k6_relat_1(A),
inference(fof_nnf,[status(thm)],[t67_funct_1]) ).
fof(f_908_2,plain,
! [U_2703] : k2_funct_1(k6_relat_1(U_2703)) = k6_relat_1(U_2703),
inference(variable_rename,[status(thm)],[f_908_1]) ).
fof(f_908_3,plain,
! [U_2703] : k2_funct_1(k6_relat_1(U_2703)) = k6_relat_1(U_2703),
inference(definitional_conversion,[status(esa)],[f_908_2]) ).
cnf(f_908_4,plain,
k2_funct_1(k6_relat_1(U_2703)) = k6_relat_1(U_2703),
inference(clausify,[status(thm)],[f_908_3]) ).
fof(f_909_1,plain,
! [A,B] :
( ! [C] :
( ( ( B = k7_relat_1(C,A)
| ? [D] :
( k1_funct_1(B,D) != k1_funct_1(C,D)
& r2_hidden(D,k1_relat_1(B)) )
| k1_relat_1(B) != k3_xboole_0(k1_relat_1(C),A) )
& ( ( ! [D] :
( k1_funct_1(B,D) = k1_funct_1(C,D)
| ~ r2_hidden(D,k1_relat_1(B)) )
& k1_relat_1(B) = k3_xboole_0(k1_relat_1(C),A) )
| B != k7_relat_1(C,A) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t68_funct_1]) ).
fof(f_909_2,plain,
! [U_2708,U_2707] :
( ! [U_2706] :
( ( ( U_2707 = k7_relat_1(U_2706,U_2708)
| ? [U_2705] :
( k1_funct_1(U_2707,U_2705) != k1_funct_1(U_2706,U_2705)
& r2_hidden(U_2705,k1_relat_1(U_2707)) )
| k1_relat_1(U_2707) != k3_xboole_0(k1_relat_1(U_2706),U_2708) )
& ( ( ! [U_2704] :
( k1_funct_1(U_2707,U_2704) = k1_funct_1(U_2706,U_2704)
| ~ r2_hidden(U_2704,k1_relat_1(U_2707)) )
& k1_relat_1(U_2707) = k3_xboole_0(k1_relat_1(U_2706),U_2708) )
| U_2707 != k7_relat_1(U_2706,U_2708) ) )
| ~ v1_funct_1(U_2706)
| ~ v1_relat_1(U_2706) )
| ~ v1_funct_1(U_2707)
| ~ v1_relat_1(U_2707) ),
inference(variable_rename,[status(thm)],[f_909_1]) ).
fof(f_909_3,plain,
! [U_2708,U_2707] :
( ! [U_2706] :
( ( ( U_2707 = k7_relat_1(U_2706,U_2708)
| ( k1_funct_1(U_2707,sK223(U_2708,U_2707,U_2706)) != k1_funct_1(U_2706,sK223(U_2708,U_2707,U_2706))
& r2_hidden(sK223(U_2708,U_2707,U_2706),k1_relat_1(U_2707)) )
| k1_relat_1(U_2707) != k3_xboole_0(k1_relat_1(U_2706),U_2708) )
& ( ( ! [U_2704] :
( k1_funct_1(U_2707,U_2704) = k1_funct_1(U_2706,U_2704)
| ~ r2_hidden(U_2704,k1_relat_1(U_2707)) )
& k1_relat_1(U_2707) = k3_xboole_0(k1_relat_1(U_2706),U_2708) )
| U_2707 != k7_relat_1(U_2706,U_2708) ) )
| ~ v1_funct_1(U_2706)
| ~ v1_relat_1(U_2706) )
| ~ v1_funct_1(U_2707)
| ~ v1_relat_1(U_2707) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK223]),skolemize(U_2705,sK223(U_2708,U_2707,U_2706))],[f_909_2]) ).
fof(f_909_4,plain,
( ! [U_2706,U_2707,U_2708] :
( k1_funct_1(U_2707,sK223(U_2708,U_2707,U_2706)) != k1_funct_1(U_2706,sK223(U_2708,U_2707,U_2706))
| ~ sP342(U_2706,U_2707,U_2708) )
& ! [U_2706,U_2707,U_2708] :
( r2_hidden(sK223(U_2708,U_2707,U_2706),k1_relat_1(U_2707))
| ~ sP342(U_2706,U_2707,U_2708) )
& ! [U_2704,U_2706,U_2707,U_2708] :
( k1_funct_1(U_2707,U_2704) = k1_funct_1(U_2706,U_2704)
| ~ r2_hidden(U_2704,k1_relat_1(U_2707))
| ~ sP341(U_2704,U_2706,U_2707,U_2708) )
& ! [U_2704,U_2706,U_2707,U_2708] :
( k1_relat_1(U_2707) = k3_xboole_0(k1_relat_1(U_2706),U_2708)
| ~ sP341(U_2704,U_2706,U_2707,U_2708) )
& ! [U_2704,U_2706,U_2707,U_2708] :
( U_2707 = k7_relat_1(U_2706,U_2708)
| sP342(U_2706,U_2707,U_2708)
| k1_relat_1(U_2707) != k3_xboole_0(k1_relat_1(U_2706),U_2708)
| ~ sP343(U_2704,U_2706,U_2707,U_2708) )
& ! [U_2704,U_2706,U_2707,U_2708] :
( sP341(U_2704,U_2706,U_2707,U_2708)
| U_2707 != k7_relat_1(U_2706,U_2708)
| ~ sP343(U_2704,U_2706,U_2707,U_2708) )
& ! [U_2704,U_2706,U_2707,U_2708] :
( sP343(U_2704,U_2706,U_2707,U_2708)
| ~ v1_funct_1(U_2706)
| ~ v1_relat_1(U_2706)
| ~ v1_funct_1(U_2707)
| ~ v1_relat_1(U_2707) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP341,sP342,sP343])],[f_909_3]) ).
cnf(f_909_5,plain,
( sP343(U_2704,U_2706,U_2707,U_2708)
| ~ v1_funct_1(U_2706)
| ~ v1_relat_1(U_2706)
| ~ v1_funct_1(U_2707)
| ~ v1_relat_1(U_2707) ),
inference(clausify,[status(thm)],[f_909_4]) ).
cnf(f_909_6,plain,
( sP341(U_2704,U_2706,U_2707,U_2708)
| U_2707 != k7_relat_1(U_2706,U_2708)
| ~ sP343(U_2704,U_2706,U_2707,U_2708) ),
inference(clausify,[status(thm)],[f_909_4]) ).
cnf(f_909_7,plain,
( U_2707 = k7_relat_1(U_2706,U_2708)
| sP342(U_2706,U_2707,U_2708)
| k1_relat_1(U_2707) != k3_xboole_0(k1_relat_1(U_2706),U_2708)
| ~ sP343(U_2704,U_2706,U_2707,U_2708) ),
inference(clausify,[status(thm)],[f_909_4]) ).
cnf(f_909_8,plain,
( k1_relat_1(U_2707) = k3_xboole_0(k1_relat_1(U_2706),U_2708)
| ~ sP341(U_2704,U_2706,U_2707,U_2708) ),
inference(clausify,[status(thm)],[f_909_4]) ).
cnf(f_909_9,plain,
( k1_funct_1(U_2707,U_2704) = k1_funct_1(U_2706,U_2704)
| ~ r2_hidden(U_2704,k1_relat_1(U_2707))
| ~ sP341(U_2704,U_2706,U_2707,U_2708) ),
inference(clausify,[status(thm)],[f_909_4]) ).
cnf(f_909_10,plain,
( r2_hidden(sK223(U_2708,U_2707,U_2706),k1_relat_1(U_2707))
| ~ sP342(U_2706,U_2707,U_2708) ),
inference(clausify,[status(thm)],[f_909_4]) ).
cnf(f_909_11,plain,
( k1_funct_1(U_2707,sK223(U_2708,U_2707,U_2706)) != k1_funct_1(U_2706,sK223(U_2708,U_2707,U_2706))
| ~ sP342(U_2706,U_2707,U_2708) ),
inference(clausify,[status(thm)],[f_909_4]) ).
fof(f_910_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t69_funct_1]) ).
fof(f_910_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_910_1]) ).
cnf(f_910_3,plain,
$true,
inference(clausify,[status(thm)],[f_910_2]) ).
fof(f_911_1,plain,
! [A,B,C] :
( k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)
| ~ r2_hidden(B,k1_relat_1(k7_relat_1(C,A)))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t70_funct_1]) ).
fof(f_911_2,plain,
! [U_2711,U_2710,U_2709] :
( k1_funct_1(k7_relat_1(U_2709,U_2711),U_2710) = k1_funct_1(U_2709,U_2710)
| ~ r2_hidden(U_2710,k1_relat_1(k7_relat_1(U_2709,U_2711)))
| ~ v1_funct_1(U_2709)
| ~ v1_relat_1(U_2709) ),
inference(variable_rename,[status(thm)],[f_911_1]) ).
fof(f_911_3,plain,
! [U_2709,U_2710,U_2711] :
( k1_funct_1(k7_relat_1(U_2709,U_2711),U_2710) = k1_funct_1(U_2709,U_2710)
| ~ r2_hidden(U_2710,k1_relat_1(k7_relat_1(U_2709,U_2711)))
| ~ v1_funct_1(U_2709)
| ~ v1_relat_1(U_2709) ),
inference(definitional_conversion,[status(esa)],[f_911_2]) ).
cnf(f_911_4,plain,
( k1_funct_1(k7_relat_1(U_2709,U_2711),U_2710) = k1_funct_1(U_2709,U_2710)
| ~ r2_hidden(U_2710,k1_relat_1(k7_relat_1(U_2709,U_2711)))
| ~ v1_funct_1(U_2709)
| ~ v1_relat_1(U_2709) ),
inference(clausify,[status(thm)],[f_911_3]) ).
fof(f_912_1,plain,
! [A,B,C] :
( k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)
| ~ r2_hidden(B,k3_xboole_0(k1_relat_1(C),A))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t71_funct_1]) ).
fof(f_912_2,plain,
! [U_2714,U_2713,U_2712] :
( k1_funct_1(k7_relat_1(U_2712,U_2714),U_2713) = k1_funct_1(U_2712,U_2713)
| ~ r2_hidden(U_2713,k3_xboole_0(k1_relat_1(U_2712),U_2714))
| ~ v1_funct_1(U_2712)
| ~ v1_relat_1(U_2712) ),
inference(variable_rename,[status(thm)],[f_912_1]) ).
fof(f_912_3,plain,
! [U_2714,U_2713,U_2712] :
( k1_funct_1(k7_relat_1(U_2712,U_2714),U_2713) = k1_funct_1(U_2712,U_2713)
| ~ r2_hidden(U_2713,k3_xboole_0(k1_relat_1(U_2712),U_2714))
| ~ v1_funct_1(U_2712)
| ~ v1_relat_1(U_2712) ),
inference(definitional_conversion,[status(esa)],[f_912_2]) ).
cnf(f_912_4,plain,
( k1_funct_1(k7_relat_1(U_2712,U_2714),U_2713) = k1_funct_1(U_2712,U_2713)
| ~ r2_hidden(U_2713,k3_xboole_0(k1_relat_1(U_2712),U_2714))
| ~ v1_funct_1(U_2712)
| ~ v1_relat_1(U_2712) ),
inference(clausify,[status(thm)],[f_912_3]) ).
fof(f_913_1,plain,
! [A,B,C] :
( k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)
| ~ r2_hidden(B,A)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t72_funct_1]) ).
fof(f_913_2,plain,
! [U_2717,U_2716,U_2715] :
( k1_funct_1(k7_relat_1(U_2715,U_2717),U_2716) = k1_funct_1(U_2715,U_2716)
| ~ r2_hidden(U_2716,U_2717)
| ~ v1_funct_1(U_2715)
| ~ v1_relat_1(U_2715) ),
inference(variable_rename,[status(thm)],[f_913_1]) ).
fof(f_913_3,plain,
! [U_2717,U_2715,U_2716] :
( k1_funct_1(k7_relat_1(U_2715,U_2717),U_2716) = k1_funct_1(U_2715,U_2716)
| ~ r2_hidden(U_2716,U_2717)
| ~ v1_funct_1(U_2715)
| ~ v1_relat_1(U_2715) ),
inference(definitional_conversion,[status(esa)],[f_913_2]) ).
cnf(f_913_4,plain,
( k1_funct_1(k7_relat_1(U_2715,U_2717),U_2716) = k1_funct_1(U_2715,U_2716)
| ~ r2_hidden(U_2716,U_2717)
| ~ v1_funct_1(U_2715)
| ~ v1_relat_1(U_2715) ),
inference(clausify,[status(thm)],[f_913_3]) ).
fof(f_914_1,plain,
! [A,B,C] :
( r2_hidden(k1_funct_1(C,B),k2_relat_1(k7_relat_1(C,A)))
| ~ r2_hidden(B,A)
| ~ r2_hidden(B,k1_relat_1(C))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t73_funct_1]) ).
fof(f_914_2,plain,
! [U_2720,U_2719,U_2718] :
( r2_hidden(k1_funct_1(U_2718,U_2719),k2_relat_1(k7_relat_1(U_2718,U_2720)))
| ~ r2_hidden(U_2719,U_2720)
| ~ r2_hidden(U_2719,k1_relat_1(U_2718))
| ~ v1_funct_1(U_2718)
| ~ v1_relat_1(U_2718) ),
inference(variable_rename,[status(thm)],[f_914_1]) ).
fof(f_914_3,plain,
! [U_2718,U_2719,U_2720] :
( r2_hidden(k1_funct_1(U_2718,U_2719),k2_relat_1(k7_relat_1(U_2718,U_2720)))
| ~ r2_hidden(U_2719,U_2720)
| ~ r2_hidden(U_2719,k1_relat_1(U_2718))
| ~ v1_funct_1(U_2718)
| ~ v1_relat_1(U_2718) ),
inference(definitional_conversion,[status(esa)],[f_914_2]) ).
cnf(f_914_4,plain,
( r2_hidden(k1_funct_1(U_2718,U_2719),k2_relat_1(k7_relat_1(U_2718,U_2720)))
| ~ r2_hidden(U_2719,U_2720)
| ~ r2_hidden(U_2719,k1_relat_1(U_2718))
| ~ v1_funct_1(U_2718)
| ~ v1_relat_1(U_2718) ),
inference(clausify,[status(thm)],[f_914_3]) ).
fof(f_915_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t74_funct_1]) ).
fof(f_915_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_915_1]) ).
cnf(f_915_3,plain,
$true,
inference(clausify,[status(thm)],[f_915_2]) ).
fof(f_916_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t75_funct_1]) ).
fof(f_916_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_916_1]) ).
cnf(f_916_3,plain,
$true,
inference(clausify,[status(thm)],[f_916_2]) ).
fof(f_917_1,plain,
! [A,B] :
( ( r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B))
& r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B)) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t76_funct_1]) ).
fof(f_917_2,plain,
! [U_2722,U_2721] :
( ( r1_tarski(k2_relat_1(k7_relat_1(U_2721,U_2722)),k2_relat_1(U_2721))
& r1_tarski(k1_relat_1(k7_relat_1(U_2721,U_2722)),k1_relat_1(U_2721)) )
| ~ v1_funct_1(U_2721)
| ~ v1_relat_1(U_2721) ),
inference(variable_rename,[status(thm)],[f_917_1]) ).
fof(f_917_3,plain,
( ! [U_2721,U_2722] :
( r1_tarski(k2_relat_1(k7_relat_1(U_2721,U_2722)),k2_relat_1(U_2721))
| ~ sP344(U_2721,U_2722) )
& ! [U_2721,U_2722] :
( r1_tarski(k1_relat_1(k7_relat_1(U_2721,U_2722)),k1_relat_1(U_2721))
| ~ sP344(U_2721,U_2722) )
& ! [U_2721,U_2722] :
( sP344(U_2721,U_2722)
| ~ v1_funct_1(U_2721)
| ~ v1_relat_1(U_2721) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP344])],[f_917_2]) ).
cnf(f_917_4,plain,
( sP344(U_2721,U_2722)
| ~ v1_funct_1(U_2721)
| ~ v1_relat_1(U_2721) ),
inference(clausify,[status(thm)],[f_917_3]) ).
cnf(f_917_5,plain,
( r1_tarski(k1_relat_1(k7_relat_1(U_2721,U_2722)),k1_relat_1(U_2721))
| ~ sP344(U_2721,U_2722) ),
inference(clausify,[status(thm)],[f_917_3]) ).
cnf(f_917_6,plain,
( r1_tarski(k2_relat_1(k7_relat_1(U_2721,U_2722)),k2_relat_1(U_2721))
| ~ sP344(U_2721,U_2722) ),
inference(clausify,[status(thm)],[f_917_3]) ).
fof(f_918_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t77_funct_1]) ).
fof(f_918_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_918_1]) ).
cnf(f_918_3,plain,
$true,
inference(clausify,[status(thm)],[f_918_2]) ).
fof(f_919_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t78_funct_1]) ).
fof(f_919_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_919_1]) ).
cnf(f_919_3,plain,
$true,
inference(clausify,[status(thm)],[f_919_2]) ).
fof(f_920_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t79_funct_1]) ).
fof(f_920_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_920_1]) ).
cnf(f_920_3,plain,
$true,
inference(clausify,[status(thm)],[f_920_2]) ).
fof(f_921_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t80_funct_1]) ).
fof(f_921_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_921_1]) ).
cnf(f_921_3,plain,
$true,
inference(clausify,[status(thm)],[f_921_2]) ).
fof(f_922_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t81_funct_1]) ).
fof(f_922_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_922_1]) ).
cnf(f_922_3,plain,
$true,
inference(clausify,[status(thm)],[f_922_2]) ).
fof(f_923_1,plain,
! [A,B,C] :
( ( k7_relat_1(k7_relat_1(C,B),A) = k7_relat_1(C,A)
& k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A) )
| ~ r1_tarski(A,B)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t82_funct_1]) ).
fof(f_923_2,plain,
! [U_2725,U_2724,U_2723] :
( ( k7_relat_1(k7_relat_1(U_2723,U_2724),U_2725) = k7_relat_1(U_2723,U_2725)
& k7_relat_1(k7_relat_1(U_2723,U_2725),U_2724) = k7_relat_1(U_2723,U_2725) )
| ~ r1_tarski(U_2725,U_2724)
| ~ v1_funct_1(U_2723)
| ~ v1_relat_1(U_2723) ),
inference(variable_rename,[status(thm)],[f_923_1]) ).
fof(f_923_3,plain,
( ! [U_2724,U_2725,U_2723] :
( k7_relat_1(k7_relat_1(U_2723,U_2724),U_2725) = k7_relat_1(U_2723,U_2725)
| ~ sP345(U_2724,U_2725,U_2723) )
& ! [U_2724,U_2725,U_2723] :
( k7_relat_1(k7_relat_1(U_2723,U_2725),U_2724) = k7_relat_1(U_2723,U_2725)
| ~ sP345(U_2724,U_2725,U_2723) )
& ! [U_2724,U_2725,U_2723] :
( sP345(U_2724,U_2725,U_2723)
| ~ r1_tarski(U_2725,U_2724)
| ~ v1_funct_1(U_2723)
| ~ v1_relat_1(U_2723) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP345])],[f_923_2]) ).
cnf(f_923_4,plain,
( sP345(U_2724,U_2725,U_2723)
| ~ r1_tarski(U_2725,U_2724)
| ~ v1_funct_1(U_2723)
| ~ v1_relat_1(U_2723) ),
inference(clausify,[status(thm)],[f_923_3]) ).
cnf(f_923_5,plain,
( k7_relat_1(k7_relat_1(U_2723,U_2725),U_2724) = k7_relat_1(U_2723,U_2725)
| ~ sP345(U_2724,U_2725,U_2723) ),
inference(clausify,[status(thm)],[f_923_3]) ).
cnf(f_923_6,plain,
( k7_relat_1(k7_relat_1(U_2723,U_2724),U_2725) = k7_relat_1(U_2723,U_2725)
| ~ sP345(U_2724,U_2725,U_2723) ),
inference(clausify,[status(thm)],[f_923_3]) ).
fof(f_924_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t83_funct_1]) ).
fof(f_924_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_924_1]) ).
cnf(f_924_3,plain,
$true,
inference(clausify,[status(thm)],[f_924_2]) ).
fof(f_925_1,plain,
! [A,B] :
( v2_funct_1(k7_relat_1(B,A))
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t84_funct_1]) ).
fof(f_925_2,plain,
! [U_2727,U_2726] :
( v2_funct_1(k7_relat_1(U_2726,U_2727))
| ~ v2_funct_1(U_2726)
| ~ v1_funct_1(U_2726)
| ~ v1_relat_1(U_2726) ),
inference(variable_rename,[status(thm)],[f_925_1]) ).
fof(f_925_3,plain,
! [U_2726,U_2727] :
( v2_funct_1(k7_relat_1(U_2726,U_2727))
| ~ v2_funct_1(U_2726)
| ~ v1_funct_1(U_2726)
| ~ v1_relat_1(U_2726) ),
inference(definitional_conversion,[status(esa)],[f_925_2]) ).
cnf(f_925_4,plain,
( v2_funct_1(k7_relat_1(U_2726,U_2727))
| ~ v2_funct_1(U_2726)
| ~ v1_funct_1(U_2726)
| ~ v1_relat_1(U_2726) ),
inference(clausify,[status(thm)],[f_925_3]) ).
fof(f_926_1,plain,
! [A,B] :
( ! [C] :
( ( ( B = k8_relat_1(A,C)
| ? [D] :
( k1_funct_1(B,D) != k1_funct_1(C,D)
& r2_hidden(D,k1_relat_1(B)) )
| ? [D] :
( ( ~ r2_hidden(D,k1_relat_1(B))
& r2_hidden(k1_funct_1(C,D),A)
& r2_hidden(D,k1_relat_1(C)) )
| ( ( ~ r2_hidden(k1_funct_1(C,D),A)
| ~ r2_hidden(D,k1_relat_1(C)) )
& r2_hidden(D,k1_relat_1(B)) ) ) )
& ( ( ! [D] :
( k1_funct_1(B,D) = k1_funct_1(C,D)
| ~ r2_hidden(D,k1_relat_1(B)) )
& ! [D] :
( ( r2_hidden(D,k1_relat_1(B))
| ~ r2_hidden(k1_funct_1(C,D),A)
| ~ r2_hidden(D,k1_relat_1(C)) )
& ( ( r2_hidden(k1_funct_1(C,D),A)
& r2_hidden(D,k1_relat_1(C)) )
| ~ r2_hidden(D,k1_relat_1(B)) ) ) )
| B != k8_relat_1(A,C) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t85_funct_1]) ).
fof(f_926_2,plain,
! [U_2734,U_2733] :
( ! [U_2732] :
( ( ( U_2733 = k8_relat_1(U_2734,U_2732)
| ? [U_2731] :
( k1_funct_1(U_2733,U_2731) != k1_funct_1(U_2732,U_2731)
& r2_hidden(U_2731,k1_relat_1(U_2733)) )
| ? [U_2730] :
( ( ~ r2_hidden(U_2730,k1_relat_1(U_2733))
& r2_hidden(k1_funct_1(U_2732,U_2730),U_2734)
& r2_hidden(U_2730,k1_relat_1(U_2732)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2732,U_2730),U_2734)
| ~ r2_hidden(U_2730,k1_relat_1(U_2732)) )
& r2_hidden(U_2730,k1_relat_1(U_2733)) ) ) )
& ( ( ! [U_2729] :
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733)) )
& ! [U_2728] :
( ( r2_hidden(U_2728,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2728),U_2734)
| ~ r2_hidden(U_2728,k1_relat_1(U_2732)) )
& ( ( r2_hidden(k1_funct_1(U_2732,U_2728),U_2734)
& r2_hidden(U_2728,k1_relat_1(U_2732)) )
| ~ r2_hidden(U_2728,k1_relat_1(U_2733)) ) ) )
| U_2733 != k8_relat_1(U_2734,U_2732) ) )
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732) )
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ),
inference(variable_rename,[status(thm)],[f_926_1]) ).
fof(f_926_3,plain,
! [U_2734,U_2733] :
( ! [U_2732] :
( ( ( U_2733 = k8_relat_1(U_2734,U_2732)
| ? [U_2731] :
( k1_funct_1(U_2733,U_2731) != k1_funct_1(U_2732,U_2731)
& r2_hidden(U_2731,k1_relat_1(U_2733)) )
| ? [U_2738] :
( ~ r2_hidden(U_2738,k1_relat_1(U_2733))
& r2_hidden(k1_funct_1(U_2732,U_2738),U_2734)
& r2_hidden(U_2738,k1_relat_1(U_2732)) )
| ? [U_2737] :
( ( ~ r2_hidden(k1_funct_1(U_2732,U_2737),U_2734)
| ~ r2_hidden(U_2737,k1_relat_1(U_2732)) )
& r2_hidden(U_2737,k1_relat_1(U_2733)) ) )
& ( ( ! [U_2729] :
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733)) )
& ! [U_2736] :
( r2_hidden(U_2736,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2736),U_2734)
| ~ r2_hidden(U_2736,k1_relat_1(U_2732)) )
& ! [U_2735] :
( ( r2_hidden(k1_funct_1(U_2732,U_2735),U_2734)
& r2_hidden(U_2735,k1_relat_1(U_2732)) )
| ~ r2_hidden(U_2735,k1_relat_1(U_2733)) ) )
| U_2733 != k8_relat_1(U_2734,U_2732) ) )
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732) )
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ),
inference(miniscope,[status(thm)],[f_926_2]) ).
fof(f_926_4,plain,
! [U_2734,U_2733] :
( ! [U_2732] :
( ( ( U_2733 = k8_relat_1(U_2734,U_2732)
| ? [U_2731] :
( k1_funct_1(U_2733,U_2731) != k1_funct_1(U_2732,U_2731)
& r2_hidden(U_2731,k1_relat_1(U_2733)) )
| ? [U_2738] :
( ~ r2_hidden(U_2738,k1_relat_1(U_2733))
& r2_hidden(k1_funct_1(U_2732,U_2738),U_2734)
& r2_hidden(U_2738,k1_relat_1(U_2732)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2732,sK224(U_2734,U_2733,U_2732)),U_2734)
| ~ r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2732)) )
& r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2733)) ) )
& ( ( ! [U_2729] :
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733)) )
& ! [U_2736] :
( r2_hidden(U_2736,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2736),U_2734)
| ~ r2_hidden(U_2736,k1_relat_1(U_2732)) )
& ! [U_2735] :
( ( r2_hidden(k1_funct_1(U_2732,U_2735),U_2734)
& r2_hidden(U_2735,k1_relat_1(U_2732)) )
| ~ r2_hidden(U_2735,k1_relat_1(U_2733)) ) )
| U_2733 != k8_relat_1(U_2734,U_2732) ) )
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732) )
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK224]),skolemize(U_2737,sK224(U_2734,U_2733,U_2732))],[f_926_3]) ).
fof(f_926_5,plain,
! [U_2734,U_2733] :
( ! [U_2732] :
( ( ( U_2733 = k8_relat_1(U_2734,U_2732)
| ? [U_2731] :
( k1_funct_1(U_2733,U_2731) != k1_funct_1(U_2732,U_2731)
& r2_hidden(U_2731,k1_relat_1(U_2733)) )
| ( ~ r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
& r2_hidden(k1_funct_1(U_2732,sK225(U_2734,U_2733,U_2732)),U_2734)
& r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2732)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2732,sK224(U_2734,U_2733,U_2732)),U_2734)
| ~ r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2732)) )
& r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2733)) ) )
& ( ( ! [U_2729] :
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733)) )
& ! [U_2736] :
( r2_hidden(U_2736,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2736),U_2734)
| ~ r2_hidden(U_2736,k1_relat_1(U_2732)) )
& ! [U_2735] :
( ( r2_hidden(k1_funct_1(U_2732,U_2735),U_2734)
& r2_hidden(U_2735,k1_relat_1(U_2732)) )
| ~ r2_hidden(U_2735,k1_relat_1(U_2733)) ) )
| U_2733 != k8_relat_1(U_2734,U_2732) ) )
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732) )
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK225]),skolemize(U_2738,sK225(U_2734,U_2733,U_2732))],[f_926_4]) ).
fof(f_926_6,plain,
! [U_2734,U_2733] :
( ! [U_2732] :
( ( ( U_2733 = k8_relat_1(U_2734,U_2732)
| ( k1_funct_1(U_2733,sK226(U_2734,U_2733,U_2732)) != k1_funct_1(U_2732,sK226(U_2734,U_2733,U_2732))
& r2_hidden(sK226(U_2734,U_2733,U_2732),k1_relat_1(U_2733)) )
| ( ~ r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
& r2_hidden(k1_funct_1(U_2732,sK225(U_2734,U_2733,U_2732)),U_2734)
& r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2732)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2732,sK224(U_2734,U_2733,U_2732)),U_2734)
| ~ r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2732)) )
& r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2733)) ) )
& ( ( ! [U_2729] :
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733)) )
& ! [U_2736] :
( r2_hidden(U_2736,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2736),U_2734)
| ~ r2_hidden(U_2736,k1_relat_1(U_2732)) )
& ! [U_2735] :
( ( r2_hidden(k1_funct_1(U_2732,U_2735),U_2734)
& r2_hidden(U_2735,k1_relat_1(U_2732)) )
| ~ r2_hidden(U_2735,k1_relat_1(U_2733)) ) )
| U_2733 != k8_relat_1(U_2734,U_2732) ) )
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732) )
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK226]),skolemize(U_2731,sK226(U_2734,U_2733,U_2732))],[f_926_5]) ).
fof(f_926_7,plain,
( ! [U_2734,U_2733,U_2732] :
( k1_funct_1(U_2733,sK226(U_2734,U_2733,U_2732)) != k1_funct_1(U_2732,sK226(U_2734,U_2733,U_2732))
| ~ sP350(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2733,U_2732] :
( r2_hidden(sK226(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
| ~ sP350(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2733,U_2732] :
( ~ r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
| ~ sP349(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2733,U_2732] :
( r2_hidden(k1_funct_1(U_2732,sK225(U_2734,U_2733,U_2732)),U_2734)
| ~ sP349(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2733,U_2732] :
( r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2732))
| ~ sP349(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2733,U_2732] :
( ~ r2_hidden(k1_funct_1(U_2732,sK224(U_2734,U_2733,U_2732)),U_2734)
| ~ r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2732))
| ~ sP348(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2733,U_2732] :
( r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
| ~ sP348(U_2734,U_2733,U_2732) )
& ! [U_2734,U_2735,U_2732] :
( r2_hidden(k1_funct_1(U_2732,U_2735),U_2734)
| ~ sP346(U_2734,U_2735,U_2732) )
& ! [U_2734,U_2735,U_2732] :
( r2_hidden(U_2735,k1_relat_1(U_2732))
| ~ sP346(U_2734,U_2735,U_2732) )
& ! [U_2734,U_2736,U_2735,U_2733,U_2729,U_2732] :
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733))
| ~ sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) )
& ! [U_2734,U_2736,U_2735,U_2733,U_2729,U_2732] :
( r2_hidden(U_2736,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2736),U_2734)
| ~ r2_hidden(U_2736,k1_relat_1(U_2732))
| ~ sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) )
& ! [U_2734,U_2736,U_2735,U_2733,U_2729,U_2732] :
( sP346(U_2734,U_2735,U_2732)
| ~ r2_hidden(U_2735,k1_relat_1(U_2733))
| ~ sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) )
& ! [U_2734,U_2736,U_2735,U_2733,U_2729,U_2732] :
( U_2733 = k8_relat_1(U_2734,U_2732)
| sP350(U_2734,U_2733,U_2732)
| sP349(U_2734,U_2733,U_2732)
| sP348(U_2734,U_2733,U_2732)
| ~ sP351(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) )
& ! [U_2734,U_2736,U_2735,U_2733,U_2729,U_2732] :
( sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732)
| U_2733 != k8_relat_1(U_2734,U_2732)
| ~ sP351(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) )
& ! [U_2734,U_2736,U_2735,U_2733,U_2729,U_2732] :
( sP351(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732)
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732)
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP346,sP347,sP348,sP349,sP350,sP351])],[f_926_6]) ).
cnf(f_926_8,plain,
( sP351(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732)
| ~ v1_funct_1(U_2732)
| ~ v1_relat_1(U_2732)
| ~ v1_funct_1(U_2733)
| ~ v1_relat_1(U_2733) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_9,plain,
( sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732)
| U_2733 != k8_relat_1(U_2734,U_2732)
| ~ sP351(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_10,plain,
( U_2733 = k8_relat_1(U_2734,U_2732)
| sP350(U_2734,U_2733,U_2732)
| sP349(U_2734,U_2733,U_2732)
| sP348(U_2734,U_2733,U_2732)
| ~ sP351(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_11,plain,
( sP346(U_2734,U_2735,U_2732)
| ~ r2_hidden(U_2735,k1_relat_1(U_2733))
| ~ sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_12,plain,
( r2_hidden(U_2736,k1_relat_1(U_2733))
| ~ r2_hidden(k1_funct_1(U_2732,U_2736),U_2734)
| ~ r2_hidden(U_2736,k1_relat_1(U_2732))
| ~ sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_13,plain,
( k1_funct_1(U_2733,U_2729) = k1_funct_1(U_2732,U_2729)
| ~ r2_hidden(U_2729,k1_relat_1(U_2733))
| ~ sP347(U_2734,U_2736,U_2735,U_2733,U_2729,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_14,plain,
( r2_hidden(U_2735,k1_relat_1(U_2732))
| ~ sP346(U_2734,U_2735,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_15,plain,
( r2_hidden(k1_funct_1(U_2732,U_2735),U_2734)
| ~ sP346(U_2734,U_2735,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_16,plain,
( r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
| ~ sP348(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_17,plain,
( ~ r2_hidden(k1_funct_1(U_2732,sK224(U_2734,U_2733,U_2732)),U_2734)
| ~ r2_hidden(sK224(U_2734,U_2733,U_2732),k1_relat_1(U_2732))
| ~ sP348(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_18,plain,
( r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2732))
| ~ sP349(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_19,plain,
( r2_hidden(k1_funct_1(U_2732,sK225(U_2734,U_2733,U_2732)),U_2734)
| ~ sP349(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_20,plain,
( ~ r2_hidden(sK225(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
| ~ sP349(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_21,plain,
( r2_hidden(sK226(U_2734,U_2733,U_2732),k1_relat_1(U_2733))
| ~ sP350(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
cnf(f_926_22,plain,
( k1_funct_1(U_2733,sK226(U_2734,U_2733,U_2732)) != k1_funct_1(U_2732,sK226(U_2734,U_2733,U_2732))
| ~ sP350(U_2734,U_2733,U_2732) ),
inference(clausify,[status(thm)],[f_926_7]) ).
fof(f_927_1,plain,
! [A,B,C] :
( ( ( r2_hidden(B,k1_relat_1(k8_relat_1(A,C)))
| ~ r2_hidden(k1_funct_1(C,B),A)
| ~ r2_hidden(B,k1_relat_1(C)) )
& ( ( r2_hidden(k1_funct_1(C,B),A)
& r2_hidden(B,k1_relat_1(C)) )
| ~ r2_hidden(B,k1_relat_1(k8_relat_1(A,C))) ) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t86_funct_1]) ).
fof(f_927_2,plain,
! [U_2741,U_2740,U_2739] :
( ( ( r2_hidden(U_2740,k1_relat_1(k8_relat_1(U_2741,U_2739)))
| ~ r2_hidden(k1_funct_1(U_2739,U_2740),U_2741)
| ~ r2_hidden(U_2740,k1_relat_1(U_2739)) )
& ( ( r2_hidden(k1_funct_1(U_2739,U_2740),U_2741)
& r2_hidden(U_2740,k1_relat_1(U_2739)) )
| ~ r2_hidden(U_2740,k1_relat_1(k8_relat_1(U_2741,U_2739))) ) )
| ~ v1_funct_1(U_2739)
| ~ v1_relat_1(U_2739) ),
inference(variable_rename,[status(thm)],[f_927_1]) ).
fof(f_927_3,plain,
( ! [U_2739,U_2740,U_2741] :
( r2_hidden(k1_funct_1(U_2739,U_2740),U_2741)
| ~ sP352(U_2739,U_2740,U_2741) )
& ! [U_2739,U_2740,U_2741] :
( r2_hidden(U_2740,k1_relat_1(U_2739))
| ~ sP352(U_2739,U_2740,U_2741) )
& ! [U_2739,U_2740,U_2741] :
( r2_hidden(U_2740,k1_relat_1(k8_relat_1(U_2741,U_2739)))
| ~ r2_hidden(k1_funct_1(U_2739,U_2740),U_2741)
| ~ r2_hidden(U_2740,k1_relat_1(U_2739))
| ~ sP353(U_2739,U_2740,U_2741) )
& ! [U_2739,U_2740,U_2741] :
( sP352(U_2739,U_2740,U_2741)
| ~ r2_hidden(U_2740,k1_relat_1(k8_relat_1(U_2741,U_2739)))
| ~ sP353(U_2739,U_2740,U_2741) )
& ! [U_2739,U_2740,U_2741] :
( sP353(U_2739,U_2740,U_2741)
| ~ v1_funct_1(U_2739)
| ~ v1_relat_1(U_2739) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP352,sP353])],[f_927_2]) ).
cnf(f_927_4,plain,
( sP353(U_2739,U_2740,U_2741)
| ~ v1_funct_1(U_2739)
| ~ v1_relat_1(U_2739) ),
inference(clausify,[status(thm)],[f_927_3]) ).
cnf(f_927_5,plain,
( sP352(U_2739,U_2740,U_2741)
| ~ r2_hidden(U_2740,k1_relat_1(k8_relat_1(U_2741,U_2739)))
| ~ sP353(U_2739,U_2740,U_2741) ),
inference(clausify,[status(thm)],[f_927_3]) ).
cnf(f_927_6,plain,
( r2_hidden(U_2740,k1_relat_1(k8_relat_1(U_2741,U_2739)))
| ~ r2_hidden(k1_funct_1(U_2739,U_2740),U_2741)
| ~ r2_hidden(U_2740,k1_relat_1(U_2739))
| ~ sP353(U_2739,U_2740,U_2741) ),
inference(clausify,[status(thm)],[f_927_3]) ).
cnf(f_927_7,plain,
( r2_hidden(U_2740,k1_relat_1(U_2739))
| ~ sP352(U_2739,U_2740,U_2741) ),
inference(clausify,[status(thm)],[f_927_3]) ).
cnf(f_927_8,plain,
( r2_hidden(k1_funct_1(U_2739,U_2740),U_2741)
| ~ sP352(U_2739,U_2740,U_2741) ),
inference(clausify,[status(thm)],[f_927_3]) ).
fof(f_928_1,plain,
! [A,B,C] :
( k1_funct_1(k8_relat_1(A,C),B) = k1_funct_1(C,B)
| ~ r2_hidden(B,k1_relat_1(k8_relat_1(A,C)))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t87_funct_1]) ).
fof(f_928_2,plain,
! [U_2744,U_2743,U_2742] :
( k1_funct_1(k8_relat_1(U_2744,U_2742),U_2743) = k1_funct_1(U_2742,U_2743)
| ~ r2_hidden(U_2743,k1_relat_1(k8_relat_1(U_2744,U_2742)))
| ~ v1_funct_1(U_2742)
| ~ v1_relat_1(U_2742) ),
inference(variable_rename,[status(thm)],[f_928_1]) ).
fof(f_928_3,plain,
! [U_2742,U_2744,U_2743] :
( k1_funct_1(k8_relat_1(U_2744,U_2742),U_2743) = k1_funct_1(U_2742,U_2743)
| ~ r2_hidden(U_2743,k1_relat_1(k8_relat_1(U_2744,U_2742)))
| ~ v1_funct_1(U_2742)
| ~ v1_relat_1(U_2742) ),
inference(definitional_conversion,[status(esa)],[f_928_2]) ).
cnf(f_928_4,plain,
( k1_funct_1(k8_relat_1(U_2744,U_2742),U_2743) = k1_funct_1(U_2742,U_2743)
| ~ r2_hidden(U_2743,k1_relat_1(k8_relat_1(U_2744,U_2742)))
| ~ v1_funct_1(U_2742)
| ~ v1_relat_1(U_2742) ),
inference(clausify,[status(thm)],[f_928_3]) ).
fof(f_929_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t88_funct_1]) ).
fof(f_929_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_929_1]) ).
cnf(f_929_3,plain,
$true,
inference(clausify,[status(thm)],[f_929_2]) ).
fof(f_930_1,plain,
! [A,B] :
( ( r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B))
& r1_tarski(k1_relat_1(k8_relat_1(A,B)),k1_relat_1(B)) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t89_funct_1]) ).
fof(f_930_2,plain,
! [U_2746,U_2745] :
( ( r1_tarski(k2_relat_1(k8_relat_1(U_2746,U_2745)),k2_relat_1(U_2745))
& r1_tarski(k1_relat_1(k8_relat_1(U_2746,U_2745)),k1_relat_1(U_2745)) )
| ~ v1_funct_1(U_2745)
| ~ v1_relat_1(U_2745) ),
inference(variable_rename,[status(thm)],[f_930_1]) ).
fof(f_930_3,plain,
( ! [U_2745,U_2746] :
( r1_tarski(k2_relat_1(k8_relat_1(U_2746,U_2745)),k2_relat_1(U_2745))
| ~ sP354(U_2745,U_2746) )
& ! [U_2745,U_2746] :
( r1_tarski(k1_relat_1(k8_relat_1(U_2746,U_2745)),k1_relat_1(U_2745))
| ~ sP354(U_2745,U_2746) )
& ! [U_2745,U_2746] :
( sP354(U_2745,U_2746)
| ~ v1_funct_1(U_2745)
| ~ v1_relat_1(U_2745) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP354])],[f_930_2]) ).
cnf(f_930_4,plain,
( sP354(U_2745,U_2746)
| ~ v1_funct_1(U_2745)
| ~ v1_relat_1(U_2745) ),
inference(clausify,[status(thm)],[f_930_3]) ).
cnf(f_930_5,plain,
( r1_tarski(k1_relat_1(k8_relat_1(U_2746,U_2745)),k1_relat_1(U_2745))
| ~ sP354(U_2745,U_2746) ),
inference(clausify,[status(thm)],[f_930_3]) ).
cnf(f_930_6,plain,
( r1_tarski(k2_relat_1(k8_relat_1(U_2746,U_2745)),k2_relat_1(U_2745))
| ~ sP354(U_2745,U_2746) ),
inference(clausify,[status(thm)],[f_930_3]) ).
fof(f_931_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t90_funct_1]) ).
fof(f_931_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_931_1]) ).
cnf(f_931_3,plain,
$true,
inference(clausify,[status(thm)],[f_931_2]) ).
fof(f_932_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t91_funct_1]) ).
fof(f_932_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_932_1]) ).
cnf(f_932_3,plain,
$true,
inference(clausify,[status(thm)],[f_932_2]) ).
fof(f_933_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t92_funct_1]) ).
fof(f_933_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_933_1]) ).
cnf(f_933_3,plain,
$true,
inference(clausify,[status(thm)],[f_933_2]) ).
fof(f_934_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t93_funct_1]) ).
fof(f_934_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_934_1]) ).
cnf(f_934_3,plain,
$true,
inference(clausify,[status(thm)],[f_934_2]) ).
fof(f_935_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t94_funct_1]) ).
fof(f_935_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_935_1]) ).
cnf(f_935_3,plain,
$true,
inference(clausify,[status(thm)],[f_935_2]) ).
fof(f_936_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t95_funct_1]) ).
fof(f_936_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_936_1]) ).
cnf(f_936_3,plain,
$true,
inference(clausify,[status(thm)],[f_936_2]) ).
fof(f_937_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t96_funct_1]) ).
fof(f_937_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_937_1]) ).
cnf(f_937_3,plain,
$true,
inference(clausify,[status(thm)],[f_937_2]) ).
fof(f_938_1,plain,
! [A,B,C] :
( ( k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C)
& k8_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,C) )
| ~ r1_tarski(A,B)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t97_funct_1]) ).
fof(f_938_2,plain,
! [U_2749,U_2748,U_2747] :
( ( k8_relat_1(U_2749,k8_relat_1(U_2748,U_2747)) = k8_relat_1(U_2749,U_2747)
& k8_relat_1(U_2748,k8_relat_1(U_2749,U_2747)) = k8_relat_1(U_2749,U_2747) )
| ~ r1_tarski(U_2749,U_2748)
| ~ v1_funct_1(U_2747)
| ~ v1_relat_1(U_2747) ),
inference(variable_rename,[status(thm)],[f_938_1]) ).
fof(f_938_3,plain,
( ! [U_2749,U_2747,U_2748] :
( k8_relat_1(U_2749,k8_relat_1(U_2748,U_2747)) = k8_relat_1(U_2749,U_2747)
| ~ sP355(U_2749,U_2747,U_2748) )
& ! [U_2749,U_2747,U_2748] :
( k8_relat_1(U_2748,k8_relat_1(U_2749,U_2747)) = k8_relat_1(U_2749,U_2747)
| ~ sP355(U_2749,U_2747,U_2748) )
& ! [U_2749,U_2747,U_2748] :
( sP355(U_2749,U_2747,U_2748)
| ~ r1_tarski(U_2749,U_2748)
| ~ v1_funct_1(U_2747)
| ~ v1_relat_1(U_2747) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP355])],[f_938_2]) ).
cnf(f_938_4,plain,
( sP355(U_2749,U_2747,U_2748)
| ~ r1_tarski(U_2749,U_2748)
| ~ v1_funct_1(U_2747)
| ~ v1_relat_1(U_2747) ),
inference(clausify,[status(thm)],[f_938_3]) ).
cnf(f_938_5,plain,
( k8_relat_1(U_2748,k8_relat_1(U_2749,U_2747)) = k8_relat_1(U_2749,U_2747)
| ~ sP355(U_2749,U_2747,U_2748) ),
inference(clausify,[status(thm)],[f_938_3]) ).
cnf(f_938_6,plain,
( k8_relat_1(U_2749,k8_relat_1(U_2748,U_2747)) = k8_relat_1(U_2749,U_2747)
| ~ sP355(U_2749,U_2747,U_2748) ),
inference(clausify,[status(thm)],[f_938_3]) ).
fof(f_939_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t98_funct_1]) ).
fof(f_939_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_939_1]) ).
cnf(f_939_3,plain,
$true,
inference(clausify,[status(thm)],[f_939_2]) ).
fof(f_940_1,plain,
! [A,B] :
( v2_funct_1(k8_relat_1(A,B))
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t99_funct_1]) ).
fof(f_940_2,plain,
! [U_2751,U_2750] :
( v2_funct_1(k8_relat_1(U_2751,U_2750))
| ~ v2_funct_1(U_2750)
| ~ v1_funct_1(U_2750)
| ~ v1_relat_1(U_2750) ),
inference(variable_rename,[status(thm)],[f_940_1]) ).
fof(f_940_3,plain,
! [U_2750,U_2751] :
( v2_funct_1(k8_relat_1(U_2751,U_2750))
| ~ v2_funct_1(U_2750)
| ~ v1_funct_1(U_2750)
| ~ v1_relat_1(U_2750) ),
inference(definitional_conversion,[status(esa)],[f_940_2]) ).
cnf(f_940_4,plain,
( v2_funct_1(k8_relat_1(U_2751,U_2750))
| ~ v2_funct_1(U_2750)
| ~ v1_funct_1(U_2750)
| ~ v1_relat_1(U_2750) ),
inference(clausify,[status(thm)],[f_940_3]) ).
fof(f_941_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d10_funct_1]) ).
fof(f_941_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_941_1]) ).
cnf(f_941_3,plain,
$true,
inference(clausify,[status(thm)],[f_941_2]) ).
fof(f_942_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d11_funct_1]) ).
fof(f_942_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_942_1]) ).
cnf(f_942_3,plain,
$true,
inference(clausify,[status(thm)],[f_942_2]) ).
fof(f_943_1,plain,
! [A] :
( ! [B,C] :
( ( C = k9_relat_1(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ? [E] :
( D = k1_funct_1(A,E)
& r2_hidden(E,B)
& r2_hidden(E,k1_relat_1(A)) ) )
| ( ! [E] :
( D != k1_funct_1(A,E)
| ~ r2_hidden(E,B)
| ~ r2_hidden(E,k1_relat_1(A)) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ! [E] :
( D != k1_funct_1(A,E)
| ~ r2_hidden(E,B)
| ~ r2_hidden(E,k1_relat_1(A)) ) )
& ( ? [E] :
( D = k1_funct_1(A,E)
& r2_hidden(E,B)
& r2_hidden(E,k1_relat_1(A)) )
| ~ r2_hidden(D,C) ) )
| C != k9_relat_1(A,B) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d12_funct_1]) ).
fof(f_943_2,plain,
! [U_2760] :
( ! [U_2759,U_2758] :
( ( U_2758 = k9_relat_1(U_2760,U_2759)
| ? [U_2757] :
( ( ~ r2_hidden(U_2757,U_2758)
& ? [U_2756] :
( U_2757 = k1_funct_1(U_2760,U_2756)
& r2_hidden(U_2756,U_2759)
& r2_hidden(U_2756,k1_relat_1(U_2760)) ) )
| ( ! [U_2755] :
( U_2757 != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2759)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760)) )
& r2_hidden(U_2757,U_2758) ) ) )
& ( ! [U_2754] :
( ( r2_hidden(U_2754,U_2758)
| ! [U_2753] :
( U_2754 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2759)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760)) ) )
& ( ? [U_2752] :
( U_2754 = k1_funct_1(U_2760,U_2752)
& r2_hidden(U_2752,U_2759)
& r2_hidden(U_2752,k1_relat_1(U_2760)) )
| ~ r2_hidden(U_2754,U_2758) ) )
| U_2758 != k9_relat_1(U_2760,U_2759) ) )
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(variable_rename,[status(thm)],[f_943_1]) ).
fof(f_943_3,plain,
! [U_2760] :
( ( ! [U_2768,U_2766] :
( U_2766 = k9_relat_1(U_2760,U_2768)
| ? [U_2764] :
( ~ r2_hidden(U_2764,U_2766)
& ? [U_2756] :
( U_2764 = k1_funct_1(U_2760,U_2756)
& r2_hidden(U_2756,U_2768)
& r2_hidden(U_2756,k1_relat_1(U_2760)) ) )
| ? [U_2763] :
( ! [U_2755] :
( U_2763 != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760)) )
& r2_hidden(U_2763,U_2766) ) )
& ! [U_2767,U_2765] :
( ( ! [U_2762] :
( r2_hidden(U_2762,U_2765)
| ! [U_2753] :
( U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760)) ) )
& ! [U_2761] :
( ? [U_2752] :
( U_2761 = k1_funct_1(U_2760,U_2752)
& r2_hidden(U_2752,U_2767)
& r2_hidden(U_2752,k1_relat_1(U_2760)) )
| ~ r2_hidden(U_2761,U_2765) ) )
| U_2765 != k9_relat_1(U_2760,U_2767) ) )
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(miniscope,[status(thm)],[f_943_2]) ).
fof(f_943_4,plain,
! [U_2760] :
( ( ! [U_2768,U_2766] :
( U_2766 = k9_relat_1(U_2760,U_2768)
| ? [U_2764] :
( ~ r2_hidden(U_2764,U_2766)
& ? [U_2756] :
( U_2764 = k1_funct_1(U_2760,U_2756)
& r2_hidden(U_2756,U_2768)
& r2_hidden(U_2756,k1_relat_1(U_2760)) ) )
| ? [U_2763] :
( ! [U_2755] :
( U_2763 != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760)) )
& r2_hidden(U_2763,U_2766) ) )
& ! [U_2767,U_2765] :
( ( ! [U_2762] :
( r2_hidden(U_2762,U_2765)
| ! [U_2753] :
( U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760)) ) )
& ! [U_2761] :
( ( U_2761 = k1_funct_1(U_2760,sK227(U_2760,U_2767,U_2765,U_2761))
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),U_2767)
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),k1_relat_1(U_2760)) )
| ~ r2_hidden(U_2761,U_2765) ) )
| U_2765 != k9_relat_1(U_2760,U_2767) ) )
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK227]),skolemize(U_2752,sK227(U_2760,U_2767,U_2765,U_2761))],[f_943_3]) ).
fof(f_943_5,plain,
! [U_2760] :
( ( ! [U_2768,U_2766] :
( U_2766 = k9_relat_1(U_2760,U_2768)
| ? [U_2764] :
( ~ r2_hidden(U_2764,U_2766)
& ? [U_2756] :
( U_2764 = k1_funct_1(U_2760,U_2756)
& r2_hidden(U_2756,U_2768)
& r2_hidden(U_2756,k1_relat_1(U_2760)) ) )
| ( ! [U_2755] :
( sK228(U_2760,U_2768,U_2766) != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760)) )
& r2_hidden(sK228(U_2760,U_2768,U_2766),U_2766) ) )
& ! [U_2767,U_2765] :
( ( ! [U_2762] :
( r2_hidden(U_2762,U_2765)
| ! [U_2753] :
( U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760)) ) )
& ! [U_2761] :
( ( U_2761 = k1_funct_1(U_2760,sK227(U_2760,U_2767,U_2765,U_2761))
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),U_2767)
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),k1_relat_1(U_2760)) )
| ~ r2_hidden(U_2761,U_2765) ) )
| U_2765 != k9_relat_1(U_2760,U_2767) ) )
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK228]),skolemize(U_2763,sK228(U_2760,U_2768,U_2766))],[f_943_4]) ).
fof(f_943_6,plain,
! [U_2760] :
( ( ! [U_2768,U_2766] :
( U_2766 = k9_relat_1(U_2760,U_2768)
| ( ~ r2_hidden(sK229(U_2760,U_2768,U_2766),U_2766)
& ? [U_2756] :
( sK229(U_2760,U_2768,U_2766) = k1_funct_1(U_2760,U_2756)
& r2_hidden(U_2756,U_2768)
& r2_hidden(U_2756,k1_relat_1(U_2760)) ) )
| ( ! [U_2755] :
( sK228(U_2760,U_2768,U_2766) != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760)) )
& r2_hidden(sK228(U_2760,U_2768,U_2766),U_2766) ) )
& ! [U_2767,U_2765] :
( ( ! [U_2762] :
( r2_hidden(U_2762,U_2765)
| ! [U_2753] :
( U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760)) ) )
& ! [U_2761] :
( ( U_2761 = k1_funct_1(U_2760,sK227(U_2760,U_2767,U_2765,U_2761))
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),U_2767)
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),k1_relat_1(U_2760)) )
| ~ r2_hidden(U_2761,U_2765) ) )
| U_2765 != k9_relat_1(U_2760,U_2767) ) )
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK229]),skolemize(U_2764,sK229(U_2760,U_2768,U_2766))],[f_943_5]) ).
fof(f_943_7,plain,
! [U_2760] :
( ( ! [U_2768,U_2766] :
( U_2766 = k9_relat_1(U_2760,U_2768)
| ( ~ r2_hidden(sK229(U_2760,U_2768,U_2766),U_2766)
& sK229(U_2760,U_2768,U_2766) = k1_funct_1(U_2760,sK230(U_2760,U_2768,U_2766))
& r2_hidden(sK230(U_2760,U_2768,U_2766),U_2768)
& r2_hidden(sK230(U_2760,U_2768,U_2766),k1_relat_1(U_2760)) )
| ( ! [U_2755] :
( sK228(U_2760,U_2768,U_2766) != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760)) )
& r2_hidden(sK228(U_2760,U_2768,U_2766),U_2766) ) )
& ! [U_2767,U_2765] :
( ( ! [U_2762] :
( r2_hidden(U_2762,U_2765)
| ! [U_2753] :
( U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760)) ) )
& ! [U_2761] :
( ( U_2761 = k1_funct_1(U_2760,sK227(U_2760,U_2767,U_2765,U_2761))
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),U_2767)
& r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),k1_relat_1(U_2760)) )
| ~ r2_hidden(U_2761,U_2765) ) )
| U_2765 != k9_relat_1(U_2760,U_2767) ) )
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK230]),skolemize(U_2756,sK230(U_2760,U_2768,U_2766))],[f_943_6]) ).
fof(f_943_8,plain,
( ! [U_2768,U_2766,U_2760] :
( ~ r2_hidden(sK229(U_2760,U_2768,U_2766),U_2766)
| ~ sP359(U_2768,U_2766,U_2760) )
& ! [U_2768,U_2766,U_2760] :
( sK229(U_2760,U_2768,U_2766) = k1_funct_1(U_2760,sK230(U_2760,U_2768,U_2766))
| ~ sP359(U_2768,U_2766,U_2760) )
& ! [U_2768,U_2766,U_2760] :
( r2_hidden(sK230(U_2760,U_2768,U_2766),U_2768)
| ~ sP359(U_2768,U_2766,U_2760) )
& ! [U_2768,U_2766,U_2760] :
( r2_hidden(sK230(U_2760,U_2768,U_2766),k1_relat_1(U_2760))
| ~ sP359(U_2768,U_2766,U_2760) )
& ! [U_2768,U_2766,U_2755,U_2760] :
( sK228(U_2760,U_2768,U_2766) != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760))
| ~ sP358(U_2768,U_2766,U_2755,U_2760) )
& ! [U_2768,U_2766,U_2755,U_2760] :
( r2_hidden(sK228(U_2760,U_2768,U_2766),U_2766)
| ~ sP358(U_2768,U_2766,U_2755,U_2760) )
& ! [U_2767,U_2765,U_2760,U_2761] :
( U_2761 = k1_funct_1(U_2760,sK227(U_2760,U_2767,U_2765,U_2761))
| ~ sP356(U_2767,U_2765,U_2760,U_2761) )
& ! [U_2767,U_2765,U_2760,U_2761] :
( r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),U_2767)
| ~ sP356(U_2767,U_2765,U_2760,U_2761) )
& ! [U_2767,U_2765,U_2760,U_2761] :
( r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),k1_relat_1(U_2760))
| ~ sP356(U_2767,U_2765,U_2760,U_2761) )
& ! [U_2767,U_2765,U_2760,U_2761,U_2762,U_2753] :
( r2_hidden(U_2762,U_2765)
| U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760))
| ~ sP357(U_2767,U_2765,U_2760,U_2761,U_2762,U_2753) )
& ! [U_2767,U_2765,U_2760,U_2761,U_2762,U_2753] :
( sP356(U_2767,U_2765,U_2760,U_2761)
| ~ r2_hidden(U_2761,U_2765)
| ~ sP357(U_2767,U_2765,U_2760,U_2761,U_2762,U_2753) )
& ! [U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753] :
( U_2766 = k9_relat_1(U_2760,U_2768)
| sP359(U_2768,U_2766,U_2760)
| sP358(U_2768,U_2766,U_2755,U_2760)
| ~ sP360(U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753) )
& ! [U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753] :
( sP357(U_2767,U_2765,U_2760,U_2761,U_2762,U_2753)
| U_2765 != k9_relat_1(U_2760,U_2767)
| ~ sP360(U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753) )
& ! [U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753] :
( sP360(U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753)
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP356,sP357,sP358,sP359,sP360])],[f_943_7]) ).
cnf(f_943_9,plain,
( sP360(U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753)
| ~ v1_funct_1(U_2760)
| ~ v1_relat_1(U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_10,plain,
( sP357(U_2767,U_2765,U_2760,U_2761,U_2762,U_2753)
| U_2765 != k9_relat_1(U_2760,U_2767)
| ~ sP360(U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_11,plain,
( U_2766 = k9_relat_1(U_2760,U_2768)
| sP359(U_2768,U_2766,U_2760)
| sP358(U_2768,U_2766,U_2755,U_2760)
| ~ sP360(U_2768,U_2767,U_2766,U_2755,U_2765,U_2760,U_2761,U_2762,U_2753) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_12,plain,
( sP356(U_2767,U_2765,U_2760,U_2761)
| ~ r2_hidden(U_2761,U_2765)
| ~ sP357(U_2767,U_2765,U_2760,U_2761,U_2762,U_2753) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_13,plain,
( r2_hidden(U_2762,U_2765)
| U_2762 != k1_funct_1(U_2760,U_2753)
| ~ r2_hidden(U_2753,U_2767)
| ~ r2_hidden(U_2753,k1_relat_1(U_2760))
| ~ sP357(U_2767,U_2765,U_2760,U_2761,U_2762,U_2753) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_14,plain,
( r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),k1_relat_1(U_2760))
| ~ sP356(U_2767,U_2765,U_2760,U_2761) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_15,plain,
( r2_hidden(sK227(U_2760,U_2767,U_2765,U_2761),U_2767)
| ~ sP356(U_2767,U_2765,U_2760,U_2761) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_16,plain,
( U_2761 = k1_funct_1(U_2760,sK227(U_2760,U_2767,U_2765,U_2761))
| ~ sP356(U_2767,U_2765,U_2760,U_2761) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_17,plain,
( r2_hidden(sK228(U_2760,U_2768,U_2766),U_2766)
| ~ sP358(U_2768,U_2766,U_2755,U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_18,plain,
( sK228(U_2760,U_2768,U_2766) != k1_funct_1(U_2760,U_2755)
| ~ r2_hidden(U_2755,U_2768)
| ~ r2_hidden(U_2755,k1_relat_1(U_2760))
| ~ sP358(U_2768,U_2766,U_2755,U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_19,plain,
( r2_hidden(sK230(U_2760,U_2768,U_2766),k1_relat_1(U_2760))
| ~ sP359(U_2768,U_2766,U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_20,plain,
( r2_hidden(sK230(U_2760,U_2768,U_2766),U_2768)
| ~ sP359(U_2768,U_2766,U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_21,plain,
( sK229(U_2760,U_2768,U_2766) = k1_funct_1(U_2760,sK230(U_2760,U_2768,U_2766))
| ~ sP359(U_2768,U_2766,U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
cnf(f_943_22,plain,
( ~ r2_hidden(sK229(U_2760,U_2768,U_2766),U_2766)
| ~ sP359(U_2768,U_2766,U_2760) ),
inference(clausify,[status(thm)],[f_943_8]) ).
fof(f_944_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t100_funct_1]) ).
fof(f_944_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_944_1]) ).
cnf(f_944_3,plain,
$true,
inference(clausify,[status(thm)],[f_944_2]) ).
fof(f_945_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t101_funct_1]) ).
fof(f_945_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_945_1]) ).
cnf(f_945_3,plain,
$true,
inference(clausify,[status(thm)],[f_945_2]) ).
fof(f_946_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t102_funct_1]) ).
fof(f_946_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_946_1]) ).
cnf(f_946_3,plain,
$true,
inference(clausify,[status(thm)],[f_946_2]) ).
fof(f_947_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t103_funct_1]) ).
fof(f_947_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_947_1]) ).
cnf(f_947_3,plain,
$true,
inference(clausify,[status(thm)],[f_947_2]) ).
fof(f_948_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t104_funct_1]) ).
fof(f_948_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_948_1]) ).
cnf(f_948_3,plain,
$true,
inference(clausify,[status(thm)],[f_948_2]) ).
fof(f_949_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t105_funct_1]) ).
fof(f_949_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_949_1]) ).
cnf(f_949_3,plain,
$true,
inference(clausify,[status(thm)],[f_949_2]) ).
fof(f_950_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t106_funct_1]) ).
fof(f_950_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_950_1]) ).
cnf(f_950_3,plain,
$true,
inference(clausify,[status(thm)],[f_950_2]) ).
fof(f_951_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t107_funct_1]) ).
fof(f_951_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_951_1]) ).
cnf(f_951_3,plain,
$true,
inference(clausify,[status(thm)],[f_951_2]) ).
fof(f_952_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t108_funct_1]) ).
fof(f_952_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_952_1]) ).
cnf(f_952_3,plain,
$true,
inference(clausify,[status(thm)],[f_952_2]) ).
fof(f_953_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t109_funct_1]) ).
fof(f_953_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_953_1]) ).
cnf(f_953_3,plain,
$true,
inference(clausify,[status(thm)],[f_953_2]) ).
fof(f_954_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t110_funct_1]) ).
fof(f_954_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_954_1]) ).
cnf(f_954_3,plain,
$true,
inference(clausify,[status(thm)],[f_954_2]) ).
fof(f_955_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t111_funct_1]) ).
fof(f_955_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_955_1]) ).
cnf(f_955_3,plain,
$true,
inference(clausify,[status(thm)],[f_955_2]) ).
fof(f_956_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t112_funct_1]) ).
fof(f_956_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_956_1]) ).
cnf(f_956_3,plain,
$true,
inference(clausify,[status(thm)],[f_956_2]) ).
fof(f_957_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t113_funct_1]) ).
fof(f_957_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_957_1]) ).
cnf(f_957_3,plain,
$true,
inference(clausify,[status(thm)],[f_957_2]) ).
fof(f_958_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t114_funct_1]) ).
fof(f_958_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_958_1]) ).
cnf(f_958_3,plain,
$true,
inference(clausify,[status(thm)],[f_958_2]) ).
fof(f_959_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t115_funct_1]) ).
fof(f_959_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_959_1]) ).
cnf(f_959_3,plain,
$true,
inference(clausify,[status(thm)],[f_959_2]) ).
fof(f_960_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t116_funct_1]) ).
fof(f_960_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_960_1]) ).
cnf(f_960_3,plain,
$true,
inference(clausify,[status(thm)],[f_960_2]) ).
fof(f_961_1,plain,
! [A,B] :
( k9_relat_1(B,k1_tarski(A)) = k1_tarski(k1_funct_1(B,A))
| ~ r2_hidden(A,k1_relat_1(B))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t117_funct_1]) ).
fof(f_961_2,plain,
! [U_2770,U_2769] :
( k9_relat_1(U_2769,k1_tarski(U_2770)) = k1_tarski(k1_funct_1(U_2769,U_2770))
| ~ r2_hidden(U_2770,k1_relat_1(U_2769))
| ~ v1_funct_1(U_2769)
| ~ v1_relat_1(U_2769) ),
inference(variable_rename,[status(thm)],[f_961_1]) ).
fof(f_961_3,plain,
! [U_2770,U_2769] :
( k9_relat_1(U_2769,k1_tarski(U_2770)) = k1_tarski(k1_funct_1(U_2769,U_2770))
| ~ r2_hidden(U_2770,k1_relat_1(U_2769))
| ~ v1_funct_1(U_2769)
| ~ v1_relat_1(U_2769) ),
inference(definitional_conversion,[status(esa)],[f_961_2]) ).
cnf(f_961_4,plain,
( k9_relat_1(U_2769,k1_tarski(U_2770)) = k1_tarski(k1_funct_1(U_2769,U_2770))
| ~ r2_hidden(U_2770,k1_relat_1(U_2769))
| ~ v1_funct_1(U_2769)
| ~ v1_relat_1(U_2769) ),
inference(clausify,[status(thm)],[f_961_3]) ).
fof(f_962_1,plain,
! [A,B,C] :
( k9_relat_1(C,k2_tarski(A,B)) = k2_tarski(k1_funct_1(C,A),k1_funct_1(C,B))
| ~ r2_hidden(B,k1_relat_1(C))
| ~ r2_hidden(A,k1_relat_1(C))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t118_funct_1]) ).
fof(f_962_2,plain,
! [U_2773,U_2772,U_2771] :
( k9_relat_1(U_2771,k2_tarski(U_2773,U_2772)) = k2_tarski(k1_funct_1(U_2771,U_2773),k1_funct_1(U_2771,U_2772))
| ~ r2_hidden(U_2772,k1_relat_1(U_2771))
| ~ r2_hidden(U_2773,k1_relat_1(U_2771))
| ~ v1_funct_1(U_2771)
| ~ v1_relat_1(U_2771) ),
inference(variable_rename,[status(thm)],[f_962_1]) ).
fof(f_962_3,plain,
! [U_2772,U_2771,U_2773] :
( k9_relat_1(U_2771,k2_tarski(U_2773,U_2772)) = k2_tarski(k1_funct_1(U_2771,U_2773),k1_funct_1(U_2771,U_2772))
| ~ r2_hidden(U_2772,k1_relat_1(U_2771))
| ~ r2_hidden(U_2773,k1_relat_1(U_2771))
| ~ v1_funct_1(U_2771)
| ~ v1_relat_1(U_2771) ),
inference(definitional_conversion,[status(esa)],[f_962_2]) ).
cnf(f_962_4,plain,
( k9_relat_1(U_2771,k2_tarski(U_2773,U_2772)) = k2_tarski(k1_funct_1(U_2771,U_2773),k1_funct_1(U_2771,U_2772))
| ~ r2_hidden(U_2772,k1_relat_1(U_2771))
| ~ r2_hidden(U_2773,k1_relat_1(U_2771))
| ~ v1_funct_1(U_2771)
| ~ v1_relat_1(U_2771) ),
inference(clausify,[status(thm)],[f_962_3]) ).
fof(f_963_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t119_funct_1]) ).
fof(f_963_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_963_1]) ).
cnf(f_963_3,plain,
$true,
inference(clausify,[status(thm)],[f_963_2]) ).
fof(f_964_1,plain,
! [A,B,C] :
( r1_tarski(k9_relat_1(k8_relat_1(A,C),B),k9_relat_1(C,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t120_funct_1]) ).
fof(f_964_2,plain,
! [U_2776,U_2775,U_2774] :
( r1_tarski(k9_relat_1(k8_relat_1(U_2776,U_2774),U_2775),k9_relat_1(U_2774,U_2775))
| ~ v1_funct_1(U_2774)
| ~ v1_relat_1(U_2774) ),
inference(variable_rename,[status(thm)],[f_964_1]) ).
fof(f_964_3,plain,
! [U_2775,U_2774,U_2776] :
( r1_tarski(k9_relat_1(k8_relat_1(U_2776,U_2774),U_2775),k9_relat_1(U_2774,U_2775))
| ~ v1_funct_1(U_2774)
| ~ v1_relat_1(U_2774) ),
inference(definitional_conversion,[status(esa)],[f_964_2]) ).
cnf(f_964_4,plain,
( r1_tarski(k9_relat_1(k8_relat_1(U_2776,U_2774),U_2775),k9_relat_1(U_2774,U_2775))
| ~ v1_funct_1(U_2774)
| ~ v1_relat_1(U_2774) ),
inference(clausify,[status(thm)],[f_964_3]) ).
fof(f_965_1,plain,
! [A,B,C] :
( k9_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ v2_funct_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t121_funct_1]) ).
fof(f_965_2,plain,
! [U_2779,U_2778,U_2777] :
( k9_relat_1(U_2777,k3_xboole_0(U_2779,U_2778)) = k3_xboole_0(k9_relat_1(U_2777,U_2779),k9_relat_1(U_2777,U_2778))
| ~ v2_funct_1(U_2777)
| ~ v1_funct_1(U_2777)
| ~ v1_relat_1(U_2777) ),
inference(variable_rename,[status(thm)],[f_965_1]) ).
fof(f_965_3,plain,
! [U_2779,U_2778,U_2777] :
( k9_relat_1(U_2777,k3_xboole_0(U_2779,U_2778)) = k3_xboole_0(k9_relat_1(U_2777,U_2779),k9_relat_1(U_2777,U_2778))
| ~ v2_funct_1(U_2777)
| ~ v1_funct_1(U_2777)
| ~ v1_relat_1(U_2777) ),
inference(definitional_conversion,[status(esa)],[f_965_2]) ).
cnf(f_965_4,plain,
( k9_relat_1(U_2777,k3_xboole_0(U_2779,U_2778)) = k3_xboole_0(k9_relat_1(U_2777,U_2779),k9_relat_1(U_2777,U_2778))
| ~ v2_funct_1(U_2777)
| ~ v1_funct_1(U_2777)
| ~ v1_relat_1(U_2777) ),
inference(clausify,[status(thm)],[f_965_3]) ).
fof(f_966_1,plain,
! [A] :
( v2_funct_1(A)
| ? [B,C] : k9_relat_1(A,k3_xboole_0(B,C)) != k3_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t122_funct_1]) ).
fof(f_966_2,plain,
! [U_2782] :
( v2_funct_1(U_2782)
| ? [U_2781,U_2780] : k9_relat_1(U_2782,k3_xboole_0(U_2781,U_2780)) != k3_xboole_0(k9_relat_1(U_2782,U_2781),k9_relat_1(U_2782,U_2780))
| ~ v1_funct_1(U_2782)
| ~ v1_relat_1(U_2782) ),
inference(variable_rename,[status(thm)],[f_966_1]) ).
fof(f_966_3,plain,
! [U_2782] :
( v2_funct_1(U_2782)
| ? [U_2780] : k9_relat_1(U_2782,k3_xboole_0(sK231(U_2782),U_2780)) != k3_xboole_0(k9_relat_1(U_2782,sK231(U_2782)),k9_relat_1(U_2782,U_2780))
| ~ v1_funct_1(U_2782)
| ~ v1_relat_1(U_2782) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK231]),skolemize(U_2781,sK231(U_2782))],[f_966_2]) ).
fof(f_966_4,plain,
! [U_2782] :
( v2_funct_1(U_2782)
| k9_relat_1(U_2782,k3_xboole_0(sK231(U_2782),sK232(U_2782))) != k3_xboole_0(k9_relat_1(U_2782,sK231(U_2782)),k9_relat_1(U_2782,sK232(U_2782)))
| ~ v1_funct_1(U_2782)
| ~ v1_relat_1(U_2782) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK232]),skolemize(U_2780,sK232(U_2782))],[f_966_3]) ).
fof(f_966_5,plain,
! [U_2782] :
( v2_funct_1(U_2782)
| k9_relat_1(U_2782,k3_xboole_0(sK231(U_2782),sK232(U_2782))) != k3_xboole_0(k9_relat_1(U_2782,sK231(U_2782)),k9_relat_1(U_2782,sK232(U_2782)))
| ~ v1_funct_1(U_2782)
| ~ v1_relat_1(U_2782) ),
inference(definitional_conversion,[status(esa)],[f_966_4]) ).
cnf(f_966_6,plain,
( v2_funct_1(U_2782)
| k9_relat_1(U_2782,k3_xboole_0(sK231(U_2782),sK232(U_2782))) != k3_xboole_0(k9_relat_1(U_2782,sK231(U_2782)),k9_relat_1(U_2782,sK232(U_2782)))
| ~ v1_funct_1(U_2782)
| ~ v1_relat_1(U_2782) ),
inference(clausify,[status(thm)],[f_966_5]) ).
fof(f_967_1,plain,
! [A,B,C] :
( k9_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ v2_funct_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t123_funct_1]) ).
fof(f_967_2,plain,
! [U_2785,U_2784,U_2783] :
( k9_relat_1(U_2783,k4_xboole_0(U_2785,U_2784)) = k4_xboole_0(k9_relat_1(U_2783,U_2785),k9_relat_1(U_2783,U_2784))
| ~ v2_funct_1(U_2783)
| ~ v1_funct_1(U_2783)
| ~ v1_relat_1(U_2783) ),
inference(variable_rename,[status(thm)],[f_967_1]) ).
fof(f_967_3,plain,
! [U_2783,U_2784,U_2785] :
( k9_relat_1(U_2783,k4_xboole_0(U_2785,U_2784)) = k4_xboole_0(k9_relat_1(U_2783,U_2785),k9_relat_1(U_2783,U_2784))
| ~ v2_funct_1(U_2783)
| ~ v1_funct_1(U_2783)
| ~ v1_relat_1(U_2783) ),
inference(definitional_conversion,[status(esa)],[f_967_2]) ).
cnf(f_967_4,plain,
( k9_relat_1(U_2783,k4_xboole_0(U_2785,U_2784)) = k4_xboole_0(k9_relat_1(U_2783,U_2785),k9_relat_1(U_2783,U_2784))
| ~ v2_funct_1(U_2783)
| ~ v1_funct_1(U_2783)
| ~ v1_relat_1(U_2783) ),
inference(clausify,[status(thm)],[f_967_3]) ).
fof(f_968_1,plain,
! [A] :
( v2_funct_1(A)
| ? [B,C] : k9_relat_1(A,k4_xboole_0(B,C)) != k4_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t124_funct_1]) ).
fof(f_968_2,plain,
! [U_2788] :
( v2_funct_1(U_2788)
| ? [U_2787,U_2786] : k9_relat_1(U_2788,k4_xboole_0(U_2787,U_2786)) != k4_xboole_0(k9_relat_1(U_2788,U_2787),k9_relat_1(U_2788,U_2786))
| ~ v1_funct_1(U_2788)
| ~ v1_relat_1(U_2788) ),
inference(variable_rename,[status(thm)],[f_968_1]) ).
fof(f_968_3,plain,
! [U_2788] :
( v2_funct_1(U_2788)
| ? [U_2786] : k9_relat_1(U_2788,k4_xboole_0(sK233(U_2788),U_2786)) != k4_xboole_0(k9_relat_1(U_2788,sK233(U_2788)),k9_relat_1(U_2788,U_2786))
| ~ v1_funct_1(U_2788)
| ~ v1_relat_1(U_2788) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK233]),skolemize(U_2787,sK233(U_2788))],[f_968_2]) ).
fof(f_968_4,plain,
! [U_2788] :
( v2_funct_1(U_2788)
| k9_relat_1(U_2788,k4_xboole_0(sK233(U_2788),sK234(U_2788))) != k4_xboole_0(k9_relat_1(U_2788,sK233(U_2788)),k9_relat_1(U_2788,sK234(U_2788)))
| ~ v1_funct_1(U_2788)
| ~ v1_relat_1(U_2788) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK234]),skolemize(U_2786,sK234(U_2788))],[f_968_3]) ).
fof(f_968_5,plain,
! [U_2788] :
( v2_funct_1(U_2788)
| k9_relat_1(U_2788,k4_xboole_0(sK233(U_2788),sK234(U_2788))) != k4_xboole_0(k9_relat_1(U_2788,sK233(U_2788)),k9_relat_1(U_2788,sK234(U_2788)))
| ~ v1_funct_1(U_2788)
| ~ v1_relat_1(U_2788) ),
inference(definitional_conversion,[status(esa)],[f_968_4]) ).
cnf(f_968_6,plain,
( v2_funct_1(U_2788)
| k9_relat_1(U_2788,k4_xboole_0(sK233(U_2788),sK234(U_2788))) != k4_xboole_0(k9_relat_1(U_2788,sK233(U_2788)),k9_relat_1(U_2788,sK234(U_2788)))
| ~ v1_funct_1(U_2788)
| ~ v1_relat_1(U_2788) ),
inference(clausify,[status(thm)],[f_968_5]) ).
fof(f_969_1,plain,
! [A,B,C] :
( r1_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ v2_funct_1(C)
| ~ r1_xboole_0(A,B)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t125_funct_1]) ).
fof(f_969_2,plain,
! [U_2791,U_2790,U_2789] :
( r1_xboole_0(k9_relat_1(U_2789,U_2791),k9_relat_1(U_2789,U_2790))
| ~ v2_funct_1(U_2789)
| ~ r1_xboole_0(U_2791,U_2790)
| ~ v1_funct_1(U_2789)
| ~ v1_relat_1(U_2789) ),
inference(variable_rename,[status(thm)],[f_969_1]) ).
fof(f_969_3,plain,
! [U_2790,U_2791,U_2789] :
( r1_xboole_0(k9_relat_1(U_2789,U_2791),k9_relat_1(U_2789,U_2790))
| ~ v2_funct_1(U_2789)
| ~ r1_xboole_0(U_2791,U_2790)
| ~ v1_funct_1(U_2789)
| ~ v1_relat_1(U_2789) ),
inference(definitional_conversion,[status(esa)],[f_969_2]) ).
cnf(f_969_4,plain,
( r1_xboole_0(k9_relat_1(U_2789,U_2791),k9_relat_1(U_2789,U_2790))
| ~ v2_funct_1(U_2789)
| ~ r1_xboole_0(U_2791,U_2790)
| ~ v1_funct_1(U_2789)
| ~ v1_relat_1(U_2789) ),
inference(clausify,[status(thm)],[f_969_3]) ).
fof(f_970_1,plain,
! [A,B,C] :
( k9_relat_1(k8_relat_1(A,C),B) = k3_xboole_0(A,k9_relat_1(C,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t126_funct_1]) ).
fof(f_970_2,plain,
! [U_2794,U_2793,U_2792] :
( k9_relat_1(k8_relat_1(U_2794,U_2792),U_2793) = k3_xboole_0(U_2794,k9_relat_1(U_2792,U_2793))
| ~ v1_funct_1(U_2792)
| ~ v1_relat_1(U_2792) ),
inference(variable_rename,[status(thm)],[f_970_1]) ).
fof(f_970_3,plain,
! [U_2792,U_2793,U_2794] :
( k9_relat_1(k8_relat_1(U_2794,U_2792),U_2793) = k3_xboole_0(U_2794,k9_relat_1(U_2792,U_2793))
| ~ v1_funct_1(U_2792)
| ~ v1_relat_1(U_2792) ),
inference(definitional_conversion,[status(esa)],[f_970_2]) ).
cnf(f_970_4,plain,
( k9_relat_1(k8_relat_1(U_2794,U_2792),U_2793) = k3_xboole_0(U_2794,k9_relat_1(U_2792,U_2793))
| ~ v1_funct_1(U_2792)
| ~ v1_relat_1(U_2792) ),
inference(clausify,[status(thm)],[f_970_3]) ).
fof(f_971_1,plain,
! [A] :
( ! [B,C] :
( ( C = k10_relat_1(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& r2_hidden(k1_funct_1(A,D),B)
& r2_hidden(D,k1_relat_1(A)) )
| ( ( ~ r2_hidden(k1_funct_1(A,D),B)
| ~ r2_hidden(D,k1_relat_1(A)) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ~ r2_hidden(k1_funct_1(A,D),B)
| ~ r2_hidden(D,k1_relat_1(A)) )
& ( ( r2_hidden(k1_funct_1(A,D),B)
& r2_hidden(D,k1_relat_1(A)) )
| ~ r2_hidden(D,C) ) )
| C != k10_relat_1(A,B) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d13_funct_1]) ).
fof(f_971_2,plain,
! [U_2799] :
( ! [U_2798,U_2797] :
( ( U_2797 = k10_relat_1(U_2799,U_2798)
| ? [U_2796] :
( ( ~ r2_hidden(U_2796,U_2797)
& r2_hidden(k1_funct_1(U_2799,U_2796),U_2798)
& r2_hidden(U_2796,k1_relat_1(U_2799)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2799,U_2796),U_2798)
| ~ r2_hidden(U_2796,k1_relat_1(U_2799)) )
& r2_hidden(U_2796,U_2797) ) ) )
& ( ! [U_2795] :
( ( r2_hidden(U_2795,U_2797)
| ~ r2_hidden(k1_funct_1(U_2799,U_2795),U_2798)
| ~ r2_hidden(U_2795,k1_relat_1(U_2799)) )
& ( ( r2_hidden(k1_funct_1(U_2799,U_2795),U_2798)
& r2_hidden(U_2795,k1_relat_1(U_2799)) )
| ~ r2_hidden(U_2795,U_2797) ) )
| U_2797 != k10_relat_1(U_2799,U_2798) ) )
| ~ v1_funct_1(U_2799)
| ~ v1_relat_1(U_2799) ),
inference(variable_rename,[status(thm)],[f_971_1]) ).
fof(f_971_3,plain,
! [U_2799] :
( ( ! [U_2807,U_2805] :
( U_2805 = k10_relat_1(U_2799,U_2807)
| ? [U_2803] :
( ~ r2_hidden(U_2803,U_2805)
& r2_hidden(k1_funct_1(U_2799,U_2803),U_2807)
& r2_hidden(U_2803,k1_relat_1(U_2799)) )
| ? [U_2802] :
( ( ~ r2_hidden(k1_funct_1(U_2799,U_2802),U_2807)
| ~ r2_hidden(U_2802,k1_relat_1(U_2799)) )
& r2_hidden(U_2802,U_2805) ) )
& ! [U_2806,U_2804] :
( ( ! [U_2801] :
( r2_hidden(U_2801,U_2804)
| ~ r2_hidden(k1_funct_1(U_2799,U_2801),U_2806)
| ~ r2_hidden(U_2801,k1_relat_1(U_2799)) )
& ! [U_2800] :
( ( r2_hidden(k1_funct_1(U_2799,U_2800),U_2806)
& r2_hidden(U_2800,k1_relat_1(U_2799)) )
| ~ r2_hidden(U_2800,U_2804) ) )
| U_2804 != k10_relat_1(U_2799,U_2806) ) )
| ~ v1_funct_1(U_2799)
| ~ v1_relat_1(U_2799) ),
inference(miniscope,[status(thm)],[f_971_2]) ).
fof(f_971_4,plain,
! [U_2799] :
( ( ! [U_2807,U_2805] :
( U_2805 = k10_relat_1(U_2799,U_2807)
| ? [U_2803] :
( ~ r2_hidden(U_2803,U_2805)
& r2_hidden(k1_funct_1(U_2799,U_2803),U_2807)
& r2_hidden(U_2803,k1_relat_1(U_2799)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2799,sK235(U_2799,U_2807,U_2805)),U_2807)
| ~ r2_hidden(sK235(U_2799,U_2807,U_2805),k1_relat_1(U_2799)) )
& r2_hidden(sK235(U_2799,U_2807,U_2805),U_2805) ) )
& ! [U_2806,U_2804] :
( ( ! [U_2801] :
( r2_hidden(U_2801,U_2804)
| ~ r2_hidden(k1_funct_1(U_2799,U_2801),U_2806)
| ~ r2_hidden(U_2801,k1_relat_1(U_2799)) )
& ! [U_2800] :
( ( r2_hidden(k1_funct_1(U_2799,U_2800),U_2806)
& r2_hidden(U_2800,k1_relat_1(U_2799)) )
| ~ r2_hidden(U_2800,U_2804) ) )
| U_2804 != k10_relat_1(U_2799,U_2806) ) )
| ~ v1_funct_1(U_2799)
| ~ v1_relat_1(U_2799) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK235]),skolemize(U_2802,sK235(U_2799,U_2807,U_2805))],[f_971_3]) ).
fof(f_971_5,plain,
! [U_2799] :
( ( ! [U_2807,U_2805] :
( U_2805 = k10_relat_1(U_2799,U_2807)
| ( ~ r2_hidden(sK236(U_2799,U_2807,U_2805),U_2805)
& r2_hidden(k1_funct_1(U_2799,sK236(U_2799,U_2807,U_2805)),U_2807)
& r2_hidden(sK236(U_2799,U_2807,U_2805),k1_relat_1(U_2799)) )
| ( ( ~ r2_hidden(k1_funct_1(U_2799,sK235(U_2799,U_2807,U_2805)),U_2807)
| ~ r2_hidden(sK235(U_2799,U_2807,U_2805),k1_relat_1(U_2799)) )
& r2_hidden(sK235(U_2799,U_2807,U_2805),U_2805) ) )
& ! [U_2806,U_2804] :
( ( ! [U_2801] :
( r2_hidden(U_2801,U_2804)
| ~ r2_hidden(k1_funct_1(U_2799,U_2801),U_2806)
| ~ r2_hidden(U_2801,k1_relat_1(U_2799)) )
& ! [U_2800] :
( ( r2_hidden(k1_funct_1(U_2799,U_2800),U_2806)
& r2_hidden(U_2800,k1_relat_1(U_2799)) )
| ~ r2_hidden(U_2800,U_2804) ) )
| U_2804 != k10_relat_1(U_2799,U_2806) ) )
| ~ v1_funct_1(U_2799)
| ~ v1_relat_1(U_2799) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK236]),skolemize(U_2803,sK236(U_2799,U_2807,U_2805))],[f_971_4]) ).
fof(f_971_6,plain,
( ! [U_2807,U_2799,U_2805] :
( ~ r2_hidden(sK236(U_2799,U_2807,U_2805),U_2805)
| ~ sP364(U_2807,U_2799,U_2805) )
& ! [U_2807,U_2799,U_2805] :
( r2_hidden(k1_funct_1(U_2799,sK236(U_2799,U_2807,U_2805)),U_2807)
| ~ sP364(U_2807,U_2799,U_2805) )
& ! [U_2807,U_2799,U_2805] :
( r2_hidden(sK236(U_2799,U_2807,U_2805),k1_relat_1(U_2799))
| ~ sP364(U_2807,U_2799,U_2805) )
& ! [U_2807,U_2799,U_2805] :
( ~ r2_hidden(k1_funct_1(U_2799,sK235(U_2799,U_2807,U_2805)),U_2807)
| ~ r2_hidden(sK235(U_2799,U_2807,U_2805),k1_relat_1(U_2799))
| ~ sP363(U_2807,U_2799,U_2805) )
& ! [U_2807,U_2799,U_2805] :
( r2_hidden(sK235(U_2799,U_2807,U_2805),U_2805)
| ~ sP363(U_2807,U_2799,U_2805) )
& ! [U_2800,U_2799,U_2806] :
( r2_hidden(k1_funct_1(U_2799,U_2800),U_2806)
| ~ sP361(U_2800,U_2799,U_2806) )
& ! [U_2800,U_2799,U_2806] :
( r2_hidden(U_2800,k1_relat_1(U_2799))
| ~ sP361(U_2800,U_2799,U_2806) )
& ! [U_2800,U_2801,U_2799,U_2804,U_2806] :
( r2_hidden(U_2801,U_2804)
| ~ r2_hidden(k1_funct_1(U_2799,U_2801),U_2806)
| ~ r2_hidden(U_2801,k1_relat_1(U_2799))
| ~ sP362(U_2800,U_2801,U_2799,U_2804,U_2806) )
& ! [U_2800,U_2801,U_2799,U_2804,U_2806] :
( sP361(U_2800,U_2799,U_2806)
| ~ r2_hidden(U_2800,U_2804)
| ~ sP362(U_2800,U_2801,U_2799,U_2804,U_2806) )
& ! [U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805] :
( U_2805 = k10_relat_1(U_2799,U_2807)
| sP364(U_2807,U_2799,U_2805)
| sP363(U_2807,U_2799,U_2805)
| ~ sP365(U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805) )
& ! [U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805] :
( sP362(U_2800,U_2801,U_2799,U_2804,U_2806)
| U_2804 != k10_relat_1(U_2799,U_2806)
| ~ sP365(U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805) )
& ! [U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805] :
( sP365(U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805)
| ~ v1_funct_1(U_2799)
| ~ v1_relat_1(U_2799) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP361,sP362,sP363,sP364,sP365])],[f_971_5]) ).
cnf(f_971_7,plain,
( sP365(U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805)
| ~ v1_funct_1(U_2799)
| ~ v1_relat_1(U_2799) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_8,plain,
( sP362(U_2800,U_2801,U_2799,U_2804,U_2806)
| U_2804 != k10_relat_1(U_2799,U_2806)
| ~ sP365(U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_9,plain,
( U_2805 = k10_relat_1(U_2799,U_2807)
| sP364(U_2807,U_2799,U_2805)
| sP363(U_2807,U_2799,U_2805)
| ~ sP365(U_2800,U_2801,U_2807,U_2799,U_2804,U_2806,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_10,plain,
( sP361(U_2800,U_2799,U_2806)
| ~ r2_hidden(U_2800,U_2804)
| ~ sP362(U_2800,U_2801,U_2799,U_2804,U_2806) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_11,plain,
( r2_hidden(U_2801,U_2804)
| ~ r2_hidden(k1_funct_1(U_2799,U_2801),U_2806)
| ~ r2_hidden(U_2801,k1_relat_1(U_2799))
| ~ sP362(U_2800,U_2801,U_2799,U_2804,U_2806) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_12,plain,
( r2_hidden(U_2800,k1_relat_1(U_2799))
| ~ sP361(U_2800,U_2799,U_2806) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_13,plain,
( r2_hidden(k1_funct_1(U_2799,U_2800),U_2806)
| ~ sP361(U_2800,U_2799,U_2806) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_14,plain,
( r2_hidden(sK235(U_2799,U_2807,U_2805),U_2805)
| ~ sP363(U_2807,U_2799,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_15,plain,
( ~ r2_hidden(k1_funct_1(U_2799,sK235(U_2799,U_2807,U_2805)),U_2807)
| ~ r2_hidden(sK235(U_2799,U_2807,U_2805),k1_relat_1(U_2799))
| ~ sP363(U_2807,U_2799,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_16,plain,
( r2_hidden(sK236(U_2799,U_2807,U_2805),k1_relat_1(U_2799))
| ~ sP364(U_2807,U_2799,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_17,plain,
( r2_hidden(k1_funct_1(U_2799,sK236(U_2799,U_2807,U_2805)),U_2807)
| ~ sP364(U_2807,U_2799,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
cnf(f_971_18,plain,
( ~ r2_hidden(sK236(U_2799,U_2807,U_2805),U_2805)
| ~ sP364(U_2807,U_2799,U_2805) ),
inference(clausify,[status(thm)],[f_971_6]) ).
fof(f_972_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t127_funct_1]) ).
fof(f_972_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_972_1]) ).
cnf(f_972_3,plain,
$true,
inference(clausify,[status(thm)],[f_972_2]) ).
fof(f_973_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t128_funct_1]) ).
fof(f_973_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_973_1]) ).
cnf(f_973_3,plain,
$true,
inference(clausify,[status(thm)],[f_973_2]) ).
fof(f_974_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t129_funct_1]) ).
fof(f_974_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_974_1]) ).
cnf(f_974_3,plain,
$true,
inference(clausify,[status(thm)],[f_974_2]) ).
fof(f_975_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t130_funct_1]) ).
fof(f_975_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_975_1]) ).
cnf(f_975_3,plain,
$true,
inference(clausify,[status(thm)],[f_975_2]) ).
fof(f_976_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t131_funct_1]) ).
fof(f_976_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_976_1]) ).
cnf(f_976_3,plain,
$true,
inference(clausify,[status(thm)],[f_976_2]) ).
fof(f_977_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t132_funct_1]) ).
fof(f_977_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_977_1]) ).
cnf(f_977_3,plain,
$true,
inference(clausify,[status(thm)],[f_977_2]) ).
fof(f_978_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t133_funct_1]) ).
fof(f_978_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_978_1]) ).
cnf(f_978_3,plain,
$true,
inference(clausify,[status(thm)],[f_978_2]) ).
fof(f_979_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t134_funct_1]) ).
fof(f_979_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_979_1]) ).
cnf(f_979_3,plain,
$true,
inference(clausify,[status(thm)],[f_979_2]) ).
fof(f_980_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t135_funct_1]) ).
fof(f_980_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_980_1]) ).
cnf(f_980_3,plain,
$true,
inference(clausify,[status(thm)],[f_980_2]) ).
fof(f_981_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t136_funct_1]) ).
fof(f_981_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_981_1]) ).
cnf(f_981_3,plain,
$true,
inference(clausify,[status(thm)],[f_981_2]) ).
fof(f_982_1,plain,
! [A,B,C] :
( k10_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t137_funct_1]) ).
fof(f_982_2,plain,
! [U_2810,U_2809,U_2808] :
( k10_relat_1(U_2808,k3_xboole_0(U_2810,U_2809)) = k3_xboole_0(k10_relat_1(U_2808,U_2810),k10_relat_1(U_2808,U_2809))
| ~ v1_funct_1(U_2808)
| ~ v1_relat_1(U_2808) ),
inference(variable_rename,[status(thm)],[f_982_1]) ).
fof(f_982_3,plain,
! [U_2810,U_2808,U_2809] :
( k10_relat_1(U_2808,k3_xboole_0(U_2810,U_2809)) = k3_xboole_0(k10_relat_1(U_2808,U_2810),k10_relat_1(U_2808,U_2809))
| ~ v1_funct_1(U_2808)
| ~ v1_relat_1(U_2808) ),
inference(definitional_conversion,[status(esa)],[f_982_2]) ).
cnf(f_982_4,plain,
( k10_relat_1(U_2808,k3_xboole_0(U_2810,U_2809)) = k3_xboole_0(k10_relat_1(U_2808,U_2810),k10_relat_1(U_2808,U_2809))
| ~ v1_funct_1(U_2808)
| ~ v1_relat_1(U_2808) ),
inference(clausify,[status(thm)],[f_982_3]) ).
fof(f_983_1,plain,
! [A,B,C] :
( k10_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t138_funct_1]) ).
fof(f_983_2,plain,
! [U_2813,U_2812,U_2811] :
( k10_relat_1(U_2811,k4_xboole_0(U_2813,U_2812)) = k4_xboole_0(k10_relat_1(U_2811,U_2813),k10_relat_1(U_2811,U_2812))
| ~ v1_funct_1(U_2811)
| ~ v1_relat_1(U_2811) ),
inference(variable_rename,[status(thm)],[f_983_1]) ).
fof(f_983_3,plain,
! [U_2812,U_2811,U_2813] :
( k10_relat_1(U_2811,k4_xboole_0(U_2813,U_2812)) = k4_xboole_0(k10_relat_1(U_2811,U_2813),k10_relat_1(U_2811,U_2812))
| ~ v1_funct_1(U_2811)
| ~ v1_relat_1(U_2811) ),
inference(definitional_conversion,[status(esa)],[f_983_2]) ).
cnf(f_983_4,plain,
( k10_relat_1(U_2811,k4_xboole_0(U_2813,U_2812)) = k4_xboole_0(k10_relat_1(U_2811,U_2813),k10_relat_1(U_2811,U_2812))
| ~ v1_funct_1(U_2811)
| ~ v1_relat_1(U_2811) ),
inference(clausify,[status(thm)],[f_983_3]) ).
fof(f_984_1,plain,
! [A,B,C] :
( k10_relat_1(k7_relat_1(C,A),B) = k3_xboole_0(A,k10_relat_1(C,B))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t139_funct_1]) ).
fof(f_984_2,plain,
! [U_2816,U_2815,U_2814] :
( k10_relat_1(k7_relat_1(U_2814,U_2816),U_2815) = k3_xboole_0(U_2816,k10_relat_1(U_2814,U_2815))
| ~ v1_relat_1(U_2814) ),
inference(variable_rename,[status(thm)],[f_984_1]) ).
fof(f_984_3,plain,
! [U_2815,U_2816,U_2814] :
( k10_relat_1(k7_relat_1(U_2814,U_2816),U_2815) = k3_xboole_0(U_2816,k10_relat_1(U_2814,U_2815))
| ~ v1_relat_1(U_2814) ),
inference(definitional_conversion,[status(esa)],[f_984_2]) ).
cnf(f_984_4,plain,
( k10_relat_1(k7_relat_1(U_2814,U_2816),U_2815) = k3_xboole_0(U_2816,k10_relat_1(U_2814,U_2815))
| ~ v1_relat_1(U_2814) ),
inference(clausify,[status(thm)],[f_984_3]) ).
fof(f_985_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t140_funct_1]) ).
fof(f_985_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_985_1]) ).
cnf(f_985_3,plain,
$true,
inference(clausify,[status(thm)],[f_985_2]) ).
fof(f_986_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t141_funct_1]) ).
fof(f_986_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_986_1]) ).
cnf(f_986_3,plain,
$true,
inference(clausify,[status(thm)],[f_986_2]) ).
fof(f_987_1,plain,
! [A,B] :
( ( ( r2_hidden(A,k2_relat_1(B))
| k10_relat_1(B,k1_tarski(A)) = k1_xboole_0 )
& ( k10_relat_1(B,k1_tarski(A)) != k1_xboole_0
| ~ r2_hidden(A,k2_relat_1(B)) ) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t142_funct_1]) ).
fof(f_987_2,plain,
! [U_2818,U_2817] :
( ( ( r2_hidden(U_2818,k2_relat_1(U_2817))
| k10_relat_1(U_2817,k1_tarski(U_2818)) = k1_xboole_0 )
& ( k10_relat_1(U_2817,k1_tarski(U_2818)) != k1_xboole_0
| ~ r2_hidden(U_2818,k2_relat_1(U_2817)) ) )
| ~ v1_relat_1(U_2817) ),
inference(variable_rename,[status(thm)],[f_987_1]) ).
fof(f_987_3,plain,
( ! [U_2818,U_2817] :
( r2_hidden(U_2818,k2_relat_1(U_2817))
| k10_relat_1(U_2817,k1_tarski(U_2818)) = k1_xboole_0
| ~ sP366(U_2818,U_2817) )
& ! [U_2818,U_2817] :
( k10_relat_1(U_2817,k1_tarski(U_2818)) != k1_xboole_0
| ~ r2_hidden(U_2818,k2_relat_1(U_2817))
| ~ sP366(U_2818,U_2817) )
& ! [U_2818,U_2817] :
( sP366(U_2818,U_2817)
| ~ v1_relat_1(U_2817) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP366])],[f_987_2]) ).
cnf(f_987_4,plain,
( sP366(U_2818,U_2817)
| ~ v1_relat_1(U_2817) ),
inference(clausify,[status(thm)],[f_987_3]) ).
cnf(f_987_5,plain,
( k10_relat_1(U_2817,k1_tarski(U_2818)) != k1_xboole_0
| ~ r2_hidden(U_2818,k2_relat_1(U_2817))
| ~ sP366(U_2818,U_2817) ),
inference(clausify,[status(thm)],[f_987_3]) ).
cnf(f_987_6,plain,
( r2_hidden(U_2818,k2_relat_1(U_2817))
| k10_relat_1(U_2817,k1_tarski(U_2818)) = k1_xboole_0
| ~ sP366(U_2818,U_2817) ),
inference(clausify,[status(thm)],[f_987_3]) ).
fof(f_988_1,plain,
! [A,B] :
( r1_tarski(A,k2_relat_1(B))
| ? [C] :
( k10_relat_1(B,k1_tarski(C)) = k1_xboole_0
& r2_hidden(C,A) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t143_funct_1]) ).
fof(f_988_2,plain,
! [U_2821,U_2820] :
( r1_tarski(U_2821,k2_relat_1(U_2820))
| ? [U_2819] :
( k10_relat_1(U_2820,k1_tarski(U_2819)) = k1_xboole_0
& r2_hidden(U_2819,U_2821) )
| ~ v1_relat_1(U_2820) ),
inference(variable_rename,[status(thm)],[f_988_1]) ).
fof(f_988_3,plain,
! [U_2821,U_2820] :
( r1_tarski(U_2821,k2_relat_1(U_2820))
| ( k10_relat_1(U_2820,k1_tarski(sK237(U_2821,U_2820))) = k1_xboole_0
& r2_hidden(sK237(U_2821,U_2820),U_2821) )
| ~ v1_relat_1(U_2820) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK237]),skolemize(U_2819,sK237(U_2821,U_2820))],[f_988_2]) ).
fof(f_988_4,plain,
( ! [U_2821,U_2820] :
( k10_relat_1(U_2820,k1_tarski(sK237(U_2821,U_2820))) = k1_xboole_0
| ~ sP367(U_2821,U_2820) )
& ! [U_2821,U_2820] :
( r2_hidden(sK237(U_2821,U_2820),U_2821)
| ~ sP367(U_2821,U_2820) )
& ! [U_2821,U_2820] :
( r1_tarski(U_2821,k2_relat_1(U_2820))
| sP367(U_2821,U_2820)
| ~ v1_relat_1(U_2820) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP367])],[f_988_3]) ).
cnf(f_988_5,plain,
( r1_tarski(U_2821,k2_relat_1(U_2820))
| sP367(U_2821,U_2820)
| ~ v1_relat_1(U_2820) ),
inference(clausify,[status(thm)],[f_988_4]) ).
cnf(f_988_6,plain,
( r2_hidden(sK237(U_2821,U_2820),U_2821)
| ~ sP367(U_2821,U_2820) ),
inference(clausify,[status(thm)],[f_988_4]) ).
cnf(f_988_7,plain,
( k10_relat_1(U_2820,k1_tarski(sK237(U_2821,U_2820))) = k1_xboole_0
| ~ sP367(U_2821,U_2820) ),
inference(clausify,[status(thm)],[f_988_4]) ).
fof(f_989_1,plain,
! [A] :
( ( ( ! [B] :
( ? [C] : k10_relat_1(A,k1_tarski(B)) = k1_tarski(C)
| ~ r2_hidden(B,k2_relat_1(A)) )
| ~ v2_funct_1(A) )
& ( v2_funct_1(A)
| ? [B] :
( ! [C] : k10_relat_1(A,k1_tarski(B)) != k1_tarski(C)
& r2_hidden(B,k2_relat_1(A)) ) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t144_funct_1]) ).
fof(f_989_2,plain,
! [U_2826] :
( ( ( ! [U_2825] :
( ? [U_2824] : k10_relat_1(U_2826,k1_tarski(U_2825)) = k1_tarski(U_2824)
| ~ r2_hidden(U_2825,k2_relat_1(U_2826)) )
| ~ v2_funct_1(U_2826) )
& ( v2_funct_1(U_2826)
| ? [U_2823] :
( ! [U_2822] : k10_relat_1(U_2826,k1_tarski(U_2823)) != k1_tarski(U_2822)
& r2_hidden(U_2823,k2_relat_1(U_2826)) ) ) )
| ~ v1_funct_1(U_2826)
| ~ v1_relat_1(U_2826) ),
inference(variable_rename,[status(thm)],[f_989_1]) ).
fof(f_989_3,plain,
! [U_2826] :
( ( ( ! [U_2825] :
( ? [U_2824] : k10_relat_1(U_2826,k1_tarski(U_2825)) = k1_tarski(U_2824)
| ~ r2_hidden(U_2825,k2_relat_1(U_2826)) )
| ~ v2_funct_1(U_2826) )
& ( v2_funct_1(U_2826)
| ( ! [U_2822] : k10_relat_1(U_2826,k1_tarski(sK238(U_2826))) != k1_tarski(U_2822)
& r2_hidden(sK238(U_2826),k2_relat_1(U_2826)) ) ) )
| ~ v1_funct_1(U_2826)
| ~ v1_relat_1(U_2826) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK238]),skolemize(U_2823,sK238(U_2826))],[f_989_2]) ).
fof(f_989_4,plain,
! [U_2826] :
( ( ( ! [U_2825] :
( k10_relat_1(U_2826,k1_tarski(U_2825)) = k1_tarski(sK239(U_2826,U_2825))
| ~ r2_hidden(U_2825,k2_relat_1(U_2826)) )
| ~ v2_funct_1(U_2826) )
& ( v2_funct_1(U_2826)
| ( ! [U_2822] : k10_relat_1(U_2826,k1_tarski(sK238(U_2826))) != k1_tarski(U_2822)
& r2_hidden(sK238(U_2826),k2_relat_1(U_2826)) ) ) )
| ~ v1_funct_1(U_2826)
| ~ v1_relat_1(U_2826) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK239]),skolemize(U_2824,sK239(U_2826,U_2825))],[f_989_3]) ).
fof(f_989_5,plain,
( ! [U_2822,U_2826] :
( k10_relat_1(U_2826,k1_tarski(sK238(U_2826))) != k1_tarski(U_2822)
| ~ sP368(U_2822,U_2826) )
& ! [U_2822,U_2826] :
( r2_hidden(sK238(U_2826),k2_relat_1(U_2826))
| ~ sP368(U_2822,U_2826) )
& ! [U_2822,U_2825,U_2826] :
( k10_relat_1(U_2826,k1_tarski(U_2825)) = k1_tarski(sK239(U_2826,U_2825))
| ~ r2_hidden(U_2825,k2_relat_1(U_2826))
| ~ v2_funct_1(U_2826)
| ~ sP369(U_2822,U_2825,U_2826) )
& ! [U_2822,U_2825,U_2826] :
( v2_funct_1(U_2826)
| sP368(U_2822,U_2826)
| ~ sP369(U_2822,U_2825,U_2826) )
& ! [U_2822,U_2825,U_2826] :
( sP369(U_2822,U_2825,U_2826)
| ~ v1_funct_1(U_2826)
| ~ v1_relat_1(U_2826) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP368,sP369])],[f_989_4]) ).
cnf(f_989_6,plain,
( sP369(U_2822,U_2825,U_2826)
| ~ v1_funct_1(U_2826)
| ~ v1_relat_1(U_2826) ),
inference(clausify,[status(thm)],[f_989_5]) ).
cnf(f_989_7,plain,
( v2_funct_1(U_2826)
| sP368(U_2822,U_2826)
| ~ sP369(U_2822,U_2825,U_2826) ),
inference(clausify,[status(thm)],[f_989_5]) ).
cnf(f_989_8,plain,
( k10_relat_1(U_2826,k1_tarski(U_2825)) = k1_tarski(sK239(U_2826,U_2825))
| ~ r2_hidden(U_2825,k2_relat_1(U_2826))
| ~ v2_funct_1(U_2826)
| ~ sP369(U_2822,U_2825,U_2826) ),
inference(clausify,[status(thm)],[f_989_5]) ).
cnf(f_989_9,plain,
( r2_hidden(sK238(U_2826),k2_relat_1(U_2826))
| ~ sP368(U_2822,U_2826) ),
inference(clausify,[status(thm)],[f_989_5]) ).
cnf(f_989_10,plain,
( k10_relat_1(U_2826,k1_tarski(sK238(U_2826))) != k1_tarski(U_2822)
| ~ sP368(U_2822,U_2826) ),
inference(clausify,[status(thm)],[f_989_5]) ).
fof(f_990_1,plain,
! [A,B] :
( r1_tarski(k9_relat_1(B,k10_relat_1(B,A)),A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t145_funct_1]) ).
fof(f_990_2,plain,
! [U_2828,U_2827] :
( r1_tarski(k9_relat_1(U_2827,k10_relat_1(U_2827,U_2828)),U_2828)
| ~ v1_funct_1(U_2827)
| ~ v1_relat_1(U_2827) ),
inference(variable_rename,[status(thm)],[f_990_1]) ).
fof(f_990_3,plain,
! [U_2827,U_2828] :
( r1_tarski(k9_relat_1(U_2827,k10_relat_1(U_2827,U_2828)),U_2828)
| ~ v1_funct_1(U_2827)
| ~ v1_relat_1(U_2827) ),
inference(definitional_conversion,[status(esa)],[f_990_2]) ).
cnf(f_990_4,plain,
( r1_tarski(k9_relat_1(U_2827,k10_relat_1(U_2827,U_2828)),U_2828)
| ~ v1_funct_1(U_2827)
| ~ v1_relat_1(U_2827) ),
inference(clausify,[status(thm)],[f_990_3]) ).
fof(f_991_1,plain,
! [A,B] :
( r1_tarski(A,k10_relat_1(B,k9_relat_1(B,A)))
| ~ r1_tarski(A,k1_relat_1(B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t146_funct_1]) ).
fof(f_991_2,plain,
! [U_2830,U_2829] :
( r1_tarski(U_2830,k10_relat_1(U_2829,k9_relat_1(U_2829,U_2830)))
| ~ r1_tarski(U_2830,k1_relat_1(U_2829))
| ~ v1_relat_1(U_2829) ),
inference(variable_rename,[status(thm)],[f_991_1]) ).
fof(f_991_3,plain,
! [U_2830,U_2829] :
( r1_tarski(U_2830,k10_relat_1(U_2829,k9_relat_1(U_2829,U_2830)))
| ~ r1_tarski(U_2830,k1_relat_1(U_2829))
| ~ v1_relat_1(U_2829) ),
inference(definitional_conversion,[status(esa)],[f_991_2]) ).
cnf(f_991_4,plain,
( r1_tarski(U_2830,k10_relat_1(U_2829,k9_relat_1(U_2829,U_2830)))
| ~ r1_tarski(U_2830,k1_relat_1(U_2829))
| ~ v1_relat_1(U_2829) ),
inference(clausify,[status(thm)],[f_991_3]) ).
fof(f_992_1,plain,
! [A,B] :
( k9_relat_1(B,k10_relat_1(B,A)) = A
| ~ r1_tarski(A,k2_relat_1(B))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t147_funct_1]) ).
fof(f_992_2,plain,
! [U_2832,U_2831] :
( k9_relat_1(U_2831,k10_relat_1(U_2831,U_2832)) = U_2832
| ~ r1_tarski(U_2832,k2_relat_1(U_2831))
| ~ v1_funct_1(U_2831)
| ~ v1_relat_1(U_2831) ),
inference(variable_rename,[status(thm)],[f_992_1]) ).
fof(f_992_3,plain,
! [U_2831,U_2832] :
( k9_relat_1(U_2831,k10_relat_1(U_2831,U_2832)) = U_2832
| ~ r1_tarski(U_2832,k2_relat_1(U_2831))
| ~ v1_funct_1(U_2831)
| ~ v1_relat_1(U_2831) ),
inference(definitional_conversion,[status(esa)],[f_992_2]) ).
cnf(f_992_4,plain,
( k9_relat_1(U_2831,k10_relat_1(U_2831,U_2832)) = U_2832
| ~ r1_tarski(U_2832,k2_relat_1(U_2831))
| ~ v1_funct_1(U_2831)
| ~ v1_relat_1(U_2831) ),
inference(clausify,[status(thm)],[f_992_3]) ).
fof(f_993_1,plain,
! [A,B] :
( k9_relat_1(B,k10_relat_1(B,A)) = k3_xboole_0(A,k9_relat_1(B,k1_relat_1(B)))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t148_funct_1]) ).
fof(f_993_2,plain,
! [U_2834,U_2833] :
( k9_relat_1(U_2833,k10_relat_1(U_2833,U_2834)) = k3_xboole_0(U_2834,k9_relat_1(U_2833,k1_relat_1(U_2833)))
| ~ v1_funct_1(U_2833)
| ~ v1_relat_1(U_2833) ),
inference(variable_rename,[status(thm)],[f_993_1]) ).
fof(f_993_3,plain,
! [U_2833,U_2834] :
( k9_relat_1(U_2833,k10_relat_1(U_2833,U_2834)) = k3_xboole_0(U_2834,k9_relat_1(U_2833,k1_relat_1(U_2833)))
| ~ v1_funct_1(U_2833)
| ~ v1_relat_1(U_2833) ),
inference(definitional_conversion,[status(esa)],[f_993_2]) ).
cnf(f_993_4,plain,
( k9_relat_1(U_2833,k10_relat_1(U_2833,U_2834)) = k3_xboole_0(U_2834,k9_relat_1(U_2833,k1_relat_1(U_2833)))
| ~ v1_funct_1(U_2833)
| ~ v1_relat_1(U_2833) ),
inference(clausify,[status(thm)],[f_993_3]) ).
fof(f_994_1,plain,
! [A,B,C] :
( r1_tarski(k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))),k3_xboole_0(k9_relat_1(C,A),B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t149_funct_1]) ).
fof(f_994_2,plain,
! [U_2837,U_2836,U_2835] :
( r1_tarski(k9_relat_1(U_2835,k3_xboole_0(U_2837,k10_relat_1(U_2835,U_2836))),k3_xboole_0(k9_relat_1(U_2835,U_2837),U_2836))
| ~ v1_funct_1(U_2835)
| ~ v1_relat_1(U_2835) ),
inference(variable_rename,[status(thm)],[f_994_1]) ).
fof(f_994_3,plain,
! [U_2835,U_2836,U_2837] :
( r1_tarski(k9_relat_1(U_2835,k3_xboole_0(U_2837,k10_relat_1(U_2835,U_2836))),k3_xboole_0(k9_relat_1(U_2835,U_2837),U_2836))
| ~ v1_funct_1(U_2835)
| ~ v1_relat_1(U_2835) ),
inference(definitional_conversion,[status(esa)],[f_994_2]) ).
cnf(f_994_4,plain,
( r1_tarski(k9_relat_1(U_2835,k3_xboole_0(U_2837,k10_relat_1(U_2835,U_2836))),k3_xboole_0(k9_relat_1(U_2835,U_2837),U_2836))
| ~ v1_funct_1(U_2835)
| ~ v1_relat_1(U_2835) ),
inference(clausify,[status(thm)],[f_994_3]) ).
fof(f_995_1,plain,
! [A,B,C] :
( k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))) = k3_xboole_0(k9_relat_1(C,A),B)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t150_funct_1]) ).
fof(f_995_2,plain,
! [U_2840,U_2839,U_2838] :
( k9_relat_1(U_2838,k3_xboole_0(U_2840,k10_relat_1(U_2838,U_2839))) = k3_xboole_0(k9_relat_1(U_2838,U_2840),U_2839)
| ~ v1_funct_1(U_2838)
| ~ v1_relat_1(U_2838) ),
inference(variable_rename,[status(thm)],[f_995_1]) ).
fof(f_995_3,plain,
! [U_2838,U_2839,U_2840] :
( k9_relat_1(U_2838,k3_xboole_0(U_2840,k10_relat_1(U_2838,U_2839))) = k3_xboole_0(k9_relat_1(U_2838,U_2840),U_2839)
| ~ v1_funct_1(U_2838)
| ~ v1_relat_1(U_2838) ),
inference(definitional_conversion,[status(esa)],[f_995_2]) ).
cnf(f_995_4,plain,
( k9_relat_1(U_2838,k3_xboole_0(U_2840,k10_relat_1(U_2838,U_2839))) = k3_xboole_0(k9_relat_1(U_2838,U_2840),U_2839)
| ~ v1_funct_1(U_2838)
| ~ v1_relat_1(U_2838) ),
inference(clausify,[status(thm)],[f_995_3]) ).
fof(f_996_1,plain,
! [A,B,C] :
( r1_tarski(k3_xboole_0(A,k10_relat_1(C,B)),k10_relat_1(C,k3_xboole_0(k9_relat_1(C,A),B)))
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t151_funct_1]) ).
fof(f_996_2,plain,
! [U_2843,U_2842,U_2841] :
( r1_tarski(k3_xboole_0(U_2843,k10_relat_1(U_2841,U_2842)),k10_relat_1(U_2841,k3_xboole_0(k9_relat_1(U_2841,U_2843),U_2842)))
| ~ v1_relat_1(U_2841) ),
inference(variable_rename,[status(thm)],[f_996_1]) ).
fof(f_996_3,plain,
! [U_2843,U_2841,U_2842] :
( r1_tarski(k3_xboole_0(U_2843,k10_relat_1(U_2841,U_2842)),k10_relat_1(U_2841,k3_xboole_0(k9_relat_1(U_2841,U_2843),U_2842)))
| ~ v1_relat_1(U_2841) ),
inference(definitional_conversion,[status(esa)],[f_996_2]) ).
cnf(f_996_4,plain,
( r1_tarski(k3_xboole_0(U_2843,k10_relat_1(U_2841,U_2842)),k10_relat_1(U_2841,k3_xboole_0(k9_relat_1(U_2841,U_2843),U_2842)))
| ~ v1_relat_1(U_2841) ),
inference(clausify,[status(thm)],[f_996_3]) ).
fof(f_997_1,plain,
! [A,B] :
( r1_tarski(k10_relat_1(B,k9_relat_1(B,A)),A)
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t152_funct_1]) ).
fof(f_997_2,plain,
! [U_2845,U_2844] :
( r1_tarski(k10_relat_1(U_2844,k9_relat_1(U_2844,U_2845)),U_2845)
| ~ v2_funct_1(U_2844)
| ~ v1_funct_1(U_2844)
| ~ v1_relat_1(U_2844) ),
inference(variable_rename,[status(thm)],[f_997_1]) ).
fof(f_997_3,plain,
! [U_2845,U_2844] :
( r1_tarski(k10_relat_1(U_2844,k9_relat_1(U_2844,U_2845)),U_2845)
| ~ v2_funct_1(U_2844)
| ~ v1_funct_1(U_2844)
| ~ v1_relat_1(U_2844) ),
inference(definitional_conversion,[status(esa)],[f_997_2]) ).
cnf(f_997_4,plain,
( r1_tarski(k10_relat_1(U_2844,k9_relat_1(U_2844,U_2845)),U_2845)
| ~ v2_funct_1(U_2844)
| ~ v1_funct_1(U_2844)
| ~ v1_relat_1(U_2844) ),
inference(clausify,[status(thm)],[f_997_3]) ).
fof(f_998_1,plain,
! [A] :
( v2_funct_1(A)
| ? [B] : ~ r1_tarski(k10_relat_1(A,k9_relat_1(A,B)),B)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t153_funct_1]) ).
fof(f_998_2,plain,
! [U_2847] :
( v2_funct_1(U_2847)
| ? [U_2846] : ~ r1_tarski(k10_relat_1(U_2847,k9_relat_1(U_2847,U_2846)),U_2846)
| ~ v1_funct_1(U_2847)
| ~ v1_relat_1(U_2847) ),
inference(variable_rename,[status(thm)],[f_998_1]) ).
fof(f_998_3,plain,
! [U_2847] :
( v2_funct_1(U_2847)
| ~ r1_tarski(k10_relat_1(U_2847,k9_relat_1(U_2847,sK240(U_2847))),sK240(U_2847))
| ~ v1_funct_1(U_2847)
| ~ v1_relat_1(U_2847) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK240]),skolemize(U_2846,sK240(U_2847))],[f_998_2]) ).
fof(f_998_4,plain,
! [U_2847] :
( v2_funct_1(U_2847)
| ~ r1_tarski(k10_relat_1(U_2847,k9_relat_1(U_2847,sK240(U_2847))),sK240(U_2847))
| ~ v1_funct_1(U_2847)
| ~ v1_relat_1(U_2847) ),
inference(definitional_conversion,[status(esa)],[f_998_3]) ).
cnf(f_998_5,plain,
( v2_funct_1(U_2847)
| ~ r1_tarski(k10_relat_1(U_2847,k9_relat_1(U_2847,sK240(U_2847))),sK240(U_2847))
| ~ v1_funct_1(U_2847)
| ~ v1_relat_1(U_2847) ),
inference(clausify,[status(thm)],[f_998_4]) ).
fof(f_999_1,plain,
! [A,B] :
( k9_relat_1(B,A) = k10_relat_1(k2_funct_1(B),A)
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t154_funct_1]) ).
fof(f_999_2,plain,
! [U_2849,U_2848] :
( k9_relat_1(U_2848,U_2849) = k10_relat_1(k2_funct_1(U_2848),U_2849)
| ~ v2_funct_1(U_2848)
| ~ v1_funct_1(U_2848)
| ~ v1_relat_1(U_2848) ),
inference(variable_rename,[status(thm)],[f_999_1]) ).
fof(f_999_3,plain,
! [U_2848,U_2849] :
( k9_relat_1(U_2848,U_2849) = k10_relat_1(k2_funct_1(U_2848),U_2849)
| ~ v2_funct_1(U_2848)
| ~ v1_funct_1(U_2848)
| ~ v1_relat_1(U_2848) ),
inference(definitional_conversion,[status(esa)],[f_999_2]) ).
cnf(f_999_4,plain,
( k9_relat_1(U_2848,U_2849) = k10_relat_1(k2_funct_1(U_2848),U_2849)
| ~ v2_funct_1(U_2848)
| ~ v1_funct_1(U_2848)
| ~ v1_relat_1(U_2848) ),
inference(clausify,[status(thm)],[f_999_3]) ).
fof(f_1000_1,plain,
! [A,B] :
( k10_relat_1(B,A) = k9_relat_1(k2_funct_1(B),A)
| ~ v2_funct_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t155_funct_1]) ).
fof(f_1000_2,plain,
! [U_2851,U_2850] :
( k10_relat_1(U_2850,U_2851) = k9_relat_1(k2_funct_1(U_2850),U_2851)
| ~ v2_funct_1(U_2850)
| ~ v1_funct_1(U_2850)
| ~ v1_relat_1(U_2850) ),
inference(variable_rename,[status(thm)],[f_1000_1]) ).
fof(f_1000_3,plain,
! [U_2851,U_2850] :
( k10_relat_1(U_2850,U_2851) = k9_relat_1(k2_funct_1(U_2850),U_2851)
| ~ v2_funct_1(U_2850)
| ~ v1_funct_1(U_2850)
| ~ v1_relat_1(U_2850) ),
inference(definitional_conversion,[status(esa)],[f_1000_2]) ).
cnf(f_1000_4,plain,
( k10_relat_1(U_2850,U_2851) = k9_relat_1(k2_funct_1(U_2850),U_2851)
| ~ v2_funct_1(U_2850)
| ~ v1_funct_1(U_2850)
| ~ v1_relat_1(U_2850) ),
inference(clausify,[status(thm)],[f_1000_3]) ).
fof(f_1001_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( C = D
| k5_relat_1(B,C) != k5_relat_1(B,D)
| k1_relat_1(D) != A
| k1_relat_1(C) != A
| A != k2_relat_1(B)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) )
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t156_funct_1]) ).
fof(f_1001_2,plain,
! [U_2855,U_2854] :
( ! [U_2853] :
( ! [U_2852] :
( U_2853 = U_2852
| k5_relat_1(U_2854,U_2853) != k5_relat_1(U_2854,U_2852)
| k1_relat_1(U_2852) != U_2855
| k1_relat_1(U_2853) != U_2855
| U_2855 != k2_relat_1(U_2854)
| ~ v1_funct_1(U_2852)
| ~ v1_relat_1(U_2852) )
| ~ v1_funct_1(U_2853)
| ~ v1_relat_1(U_2853) )
| ~ v1_funct_1(U_2854)
| ~ v1_relat_1(U_2854) ),
inference(variable_rename,[status(thm)],[f_1001_1]) ).
fof(f_1001_3,plain,
! [U_2853,U_2852,U_2854,U_2855] :
( U_2853 = U_2852
| k5_relat_1(U_2854,U_2853) != k5_relat_1(U_2854,U_2852)
| k1_relat_1(U_2852) != U_2855
| k1_relat_1(U_2853) != U_2855
| U_2855 != k2_relat_1(U_2854)
| ~ v1_funct_1(U_2852)
| ~ v1_relat_1(U_2852)
| ~ v1_funct_1(U_2853)
| ~ v1_relat_1(U_2853)
| ~ v1_funct_1(U_2854)
| ~ v1_relat_1(U_2854) ),
inference(definitional_conversion,[status(esa)],[f_1001_2]) ).
cnf(f_1001_4,plain,
( U_2853 = U_2852
| k5_relat_1(U_2854,U_2853) != k5_relat_1(U_2854,U_2852)
| k1_relat_1(U_2852) != U_2855
| k1_relat_1(U_2853) != U_2855
| U_2855 != k2_relat_1(U_2854)
| ~ v1_funct_1(U_2852)
| ~ v1_relat_1(U_2852)
| ~ v1_funct_1(U_2853)
| ~ v1_relat_1(U_2853)
| ~ v1_funct_1(U_2854)
| ~ v1_relat_1(U_2854) ),
inference(clausify,[status(thm)],[f_1001_3]) ).
fof(f_1002_1,plain,
! [A,B,C] :
( r1_tarski(A,B)
| ~ v2_funct_1(C)
| ~ r1_tarski(A,k1_relat_1(C))
| ~ r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t157_funct_1]) ).
fof(f_1002_2,plain,
! [U_2858,U_2857,U_2856] :
( r1_tarski(U_2858,U_2857)
| ~ v2_funct_1(U_2856)
| ~ r1_tarski(U_2858,k1_relat_1(U_2856))
| ~ r1_tarski(k9_relat_1(U_2856,U_2858),k9_relat_1(U_2856,U_2857))
| ~ v1_funct_1(U_2856)
| ~ v1_relat_1(U_2856) ),
inference(variable_rename,[status(thm)],[f_1002_1]) ).
fof(f_1002_3,plain,
! [U_2858,U_2857,U_2856] :
( r1_tarski(U_2858,U_2857)
| ~ v2_funct_1(U_2856)
| ~ r1_tarski(U_2858,k1_relat_1(U_2856))
| ~ r1_tarski(k9_relat_1(U_2856,U_2858),k9_relat_1(U_2856,U_2857))
| ~ v1_funct_1(U_2856)
| ~ v1_relat_1(U_2856) ),
inference(definitional_conversion,[status(esa)],[f_1002_2]) ).
cnf(f_1002_4,plain,
( r1_tarski(U_2858,U_2857)
| ~ v2_funct_1(U_2856)
| ~ r1_tarski(U_2858,k1_relat_1(U_2856))
| ~ r1_tarski(k9_relat_1(U_2856,U_2858),k9_relat_1(U_2856,U_2857))
| ~ v1_funct_1(U_2856)
| ~ v1_relat_1(U_2856) ),
inference(clausify,[status(thm)],[f_1002_3]) ).
fof(f_1003_1,plain,
! [A,B,C] :
( r1_tarski(A,B)
| ~ r1_tarski(A,k2_relat_1(C))
| ~ r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t158_funct_1]) ).
fof(f_1003_2,plain,
! [U_2861,U_2860,U_2859] :
( r1_tarski(U_2861,U_2860)
| ~ r1_tarski(U_2861,k2_relat_1(U_2859))
| ~ r1_tarski(k10_relat_1(U_2859,U_2861),k10_relat_1(U_2859,U_2860))
| ~ v1_funct_1(U_2859)
| ~ v1_relat_1(U_2859) ),
inference(variable_rename,[status(thm)],[f_1003_1]) ).
fof(f_1003_3,plain,
! [U_2860,U_2861,U_2859] :
( r1_tarski(U_2861,U_2860)
| ~ r1_tarski(U_2861,k2_relat_1(U_2859))
| ~ r1_tarski(k10_relat_1(U_2859,U_2861),k10_relat_1(U_2859,U_2860))
| ~ v1_funct_1(U_2859)
| ~ v1_relat_1(U_2859) ),
inference(definitional_conversion,[status(esa)],[f_1003_2]) ).
cnf(f_1003_4,plain,
( r1_tarski(U_2861,U_2860)
| ~ r1_tarski(U_2861,k2_relat_1(U_2859))
| ~ r1_tarski(k10_relat_1(U_2859,U_2861),k10_relat_1(U_2859,U_2860))
| ~ v1_funct_1(U_2859)
| ~ v1_relat_1(U_2859) ),
inference(clausify,[status(thm)],[f_1003_3]) ).
fof(f_1004_1,plain,
! [A] :
( ( ( v2_funct_1(A)
| ? [B] :
! [C] : ~ r1_tarski(k10_relat_1(A,k1_tarski(B)),k1_tarski(C)) )
& ( ! [B] :
? [C] : r1_tarski(k10_relat_1(A,k1_tarski(B)),k1_tarski(C))
| ~ v2_funct_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t159_funct_1]) ).
fof(f_1004_2,plain,
! [U_2866] :
( ( ( v2_funct_1(U_2866)
| ? [U_2865] :
! [U_2864] : ~ r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2865)),k1_tarski(U_2864)) )
& ( ! [U_2863] :
? [U_2862] : r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2863)),k1_tarski(U_2862))
| ~ v2_funct_1(U_2866) ) )
| ~ v1_funct_1(U_2866)
| ~ v1_relat_1(U_2866) ),
inference(variable_rename,[status(thm)],[f_1004_1]) ).
fof(f_1004_3,plain,
! [U_2866] :
( ( ( v2_funct_1(U_2866)
| ? [U_2865] :
! [U_2864] : ~ r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2865)),k1_tarski(U_2864)) )
& ( ! [U_2863] : r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2863)),k1_tarski(sK241(U_2866,U_2863)))
| ~ v2_funct_1(U_2866) ) )
| ~ v1_funct_1(U_2866)
| ~ v1_relat_1(U_2866) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK241]),skolemize(U_2862,sK241(U_2866,U_2863))],[f_1004_2]) ).
fof(f_1004_4,plain,
! [U_2866] :
( ( ( v2_funct_1(U_2866)
| ! [U_2864] : ~ r1_tarski(k10_relat_1(U_2866,k1_tarski(sK242(U_2866))),k1_tarski(U_2864)) )
& ( ! [U_2863] : r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2863)),k1_tarski(sK241(U_2866,U_2863)))
| ~ v2_funct_1(U_2866) ) )
| ~ v1_funct_1(U_2866)
| ~ v1_relat_1(U_2866) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK242]),skolemize(U_2865,sK242(U_2866))],[f_1004_3]) ).
fof(f_1004_5,plain,
( ! [U_2866,U_2863,U_2864] :
( v2_funct_1(U_2866)
| ~ r1_tarski(k10_relat_1(U_2866,k1_tarski(sK242(U_2866))),k1_tarski(U_2864))
| ~ sP370(U_2866,U_2863,U_2864) )
& ! [U_2866,U_2863,U_2864] :
( r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2863)),k1_tarski(sK241(U_2866,U_2863)))
| ~ v2_funct_1(U_2866)
| ~ sP370(U_2866,U_2863,U_2864) )
& ! [U_2866,U_2863,U_2864] :
( sP370(U_2866,U_2863,U_2864)
| ~ v1_funct_1(U_2866)
| ~ v1_relat_1(U_2866) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP370])],[f_1004_4]) ).
cnf(f_1004_6,plain,
( sP370(U_2866,U_2863,U_2864)
| ~ v1_funct_1(U_2866)
| ~ v1_relat_1(U_2866) ),
inference(clausify,[status(thm)],[f_1004_5]) ).
cnf(f_1004_7,plain,
( r1_tarski(k10_relat_1(U_2866,k1_tarski(U_2863)),k1_tarski(sK241(U_2866,U_2863)))
| ~ v2_funct_1(U_2866)
| ~ sP370(U_2866,U_2863,U_2864) ),
inference(clausify,[status(thm)],[f_1004_5]) ).
cnf(f_1004_8,plain,
( v2_funct_1(U_2866)
| ~ r1_tarski(k10_relat_1(U_2866,k1_tarski(sK242(U_2866))),k1_tarski(U_2864))
| ~ sP370(U_2866,U_2863,U_2864) ),
inference(clausify,[status(thm)],[f_1004_5]) ).
fof(f_1005_1,plain,
! [A,B] :
( ! [C] :
( r1_tarski(k10_relat_1(B,A),k10_relat_1(k5_relat_1(B,C),k9_relat_1(C,A)))
| ~ r1_tarski(k2_relat_1(B),k1_relat_1(C))
| ~ v1_relat_1(C) )
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t160_funct_1]) ).
fof(f_1005_2,plain,
! [U_2869,U_2868] :
( ! [U_2867] :
( r1_tarski(k10_relat_1(U_2868,U_2869),k10_relat_1(k5_relat_1(U_2868,U_2867),k9_relat_1(U_2867,U_2869)))
| ~ r1_tarski(k2_relat_1(U_2868),k1_relat_1(U_2867))
| ~ v1_relat_1(U_2867) )
| ~ v1_relat_1(U_2868) ),
inference(variable_rename,[status(thm)],[f_1005_1]) ).
fof(f_1005_3,plain,
! [U_2867,U_2868,U_2869] :
( r1_tarski(k10_relat_1(U_2868,U_2869),k10_relat_1(k5_relat_1(U_2868,U_2867),k9_relat_1(U_2867,U_2869)))
| ~ r1_tarski(k2_relat_1(U_2868),k1_relat_1(U_2867))
| ~ v1_relat_1(U_2867)
| ~ v1_relat_1(U_2868) ),
inference(definitional_conversion,[status(esa)],[f_1005_2]) ).
cnf(f_1005_4,plain,
( r1_tarski(k10_relat_1(U_2868,U_2869),k10_relat_1(k5_relat_1(U_2868,U_2867),k9_relat_1(U_2867,U_2869)))
| ~ r1_tarski(k2_relat_1(U_2868),k1_relat_1(U_2867))
| ~ v1_relat_1(U_2867)
| ~ v1_relat_1(U_2868) ),
inference(clausify,[status(thm)],[f_1005_3]) ).
fof(f_1006_1,plain,
! [A,B,C] :
( A = B
| ~ r1_tarski(B,k2_relat_1(C))
| ~ r1_tarski(A,k2_relat_1(C))
| k10_relat_1(C,A) != k10_relat_1(C,B)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t161_funct_1]) ).
fof(f_1006_2,plain,
! [U_2872,U_2871,U_2870] :
( U_2872 = U_2871
| ~ r1_tarski(U_2871,k2_relat_1(U_2870))
| ~ r1_tarski(U_2872,k2_relat_1(U_2870))
| k10_relat_1(U_2870,U_2872) != k10_relat_1(U_2870,U_2871)
| ~ v1_funct_1(U_2870)
| ~ v1_relat_1(U_2870) ),
inference(variable_rename,[status(thm)],[f_1006_1]) ).
fof(f_1006_3,plain,
! [U_2871,U_2872,U_2870] :
( U_2872 = U_2871
| ~ r1_tarski(U_2871,k2_relat_1(U_2870))
| ~ r1_tarski(U_2872,k2_relat_1(U_2870))
| k10_relat_1(U_2870,U_2872) != k10_relat_1(U_2870,U_2871)
| ~ v1_funct_1(U_2870)
| ~ v1_relat_1(U_2870) ),
inference(definitional_conversion,[status(esa)],[f_1006_2]) ).
cnf(f_1006_4,plain,
( U_2872 = U_2871
| ~ r1_tarski(U_2871,k2_relat_1(U_2870))
| ~ r1_tarski(U_2872,k2_relat_1(U_2870))
| k10_relat_1(U_2870,U_2872) != k10_relat_1(U_2870,U_2871)
| ~ v1_funct_1(U_2870)
| ~ v1_relat_1(U_2870) ),
inference(clausify,[status(thm)],[f_1006_3]) ).
fof(f_1007_1,plain,
! [A,B] :
( k9_relat_1(k6_relat_1(A),B) = B
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[t162_funct_1]) ).
fof(f_1007_2,plain,
! [U_2874,U_2873] :
( k9_relat_1(k6_relat_1(U_2874),U_2873) = U_2873
| ~ m1_subset_1(U_2873,k1_zfmisc_1(U_2874)) ),
inference(variable_rename,[status(thm)],[f_1007_1]) ).
fof(f_1007_3,plain,
! [U_2873,U_2874] :
( k9_relat_1(k6_relat_1(U_2874),U_2873) = U_2873
| ~ m1_subset_1(U_2873,k1_zfmisc_1(U_2874)) ),
inference(definitional_conversion,[status(esa)],[f_1007_2]) ).
cnf(f_1007_4,plain,
( k9_relat_1(k6_relat_1(U_2874),U_2873) = U_2873
| ~ m1_subset_1(U_2873,k1_zfmisc_1(U_2874)) ),
inference(clausify,[status(thm)],[f_1007_3]) ).
fof(f_1008_1,plain,
! [A] :
( ( ( v3_relat_1(A)
| ? [B] :
( ~ v1_xboole_0(k1_funct_1(A,B))
& r2_hidden(B,k1_relat_1(A)) ) )
& ( ! [B] :
( v1_xboole_0(k1_funct_1(A,B))
| ~ r2_hidden(B,k1_relat_1(A)) )
| ~ v3_relat_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d14_funct_1]) ).
fof(f_1008_2,plain,
! [U_2877] :
( ( ( v3_relat_1(U_2877)
| ? [U_2876] :
( ~ v1_xboole_0(k1_funct_1(U_2877,U_2876))
& r2_hidden(U_2876,k1_relat_1(U_2877)) ) )
& ( ! [U_2875] :
( v1_xboole_0(k1_funct_1(U_2877,U_2875))
| ~ r2_hidden(U_2875,k1_relat_1(U_2877)) )
| ~ v3_relat_1(U_2877) ) )
| ~ v1_funct_1(U_2877)
| ~ v1_relat_1(U_2877) ),
inference(variable_rename,[status(thm)],[f_1008_1]) ).
fof(f_1008_3,plain,
! [U_2877] :
( ( ( v3_relat_1(U_2877)
| ( ~ v1_xboole_0(k1_funct_1(U_2877,sK243(U_2877)))
& r2_hidden(sK243(U_2877),k1_relat_1(U_2877)) ) )
& ( ! [U_2875] :
( v1_xboole_0(k1_funct_1(U_2877,U_2875))
| ~ r2_hidden(U_2875,k1_relat_1(U_2877)) )
| ~ v3_relat_1(U_2877) ) )
| ~ v1_funct_1(U_2877)
| ~ v1_relat_1(U_2877) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK243]),skolemize(U_2876,sK243(U_2877))],[f_1008_2]) ).
fof(f_1008_4,plain,
( ! [U_2877] :
( ~ v1_xboole_0(k1_funct_1(U_2877,sK243(U_2877)))
| ~ sP371(U_2877) )
& ! [U_2877] :
( r2_hidden(sK243(U_2877),k1_relat_1(U_2877))
| ~ sP371(U_2877) )
& ! [U_2875,U_2877] :
( v3_relat_1(U_2877)
| sP371(U_2877)
| ~ sP372(U_2875,U_2877) )
& ! [U_2875,U_2877] :
( v1_xboole_0(k1_funct_1(U_2877,U_2875))
| ~ r2_hidden(U_2875,k1_relat_1(U_2877))
| ~ v3_relat_1(U_2877)
| ~ sP372(U_2875,U_2877) )
& ! [U_2875,U_2877] :
( sP372(U_2875,U_2877)
| ~ v1_funct_1(U_2877)
| ~ v1_relat_1(U_2877) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP371,sP372])],[f_1008_3]) ).
cnf(f_1008_5,plain,
( sP372(U_2875,U_2877)
| ~ v1_funct_1(U_2877)
| ~ v1_relat_1(U_2877) ),
inference(clausify,[status(thm)],[f_1008_4]) ).
cnf(f_1008_6,plain,
( v1_xboole_0(k1_funct_1(U_2877,U_2875))
| ~ r2_hidden(U_2875,k1_relat_1(U_2877))
| ~ v3_relat_1(U_2877)
| ~ sP372(U_2875,U_2877) ),
inference(clausify,[status(thm)],[f_1008_4]) ).
cnf(f_1008_7,plain,
( v3_relat_1(U_2877)
| sP371(U_2877)
| ~ sP372(U_2875,U_2877) ),
inference(clausify,[status(thm)],[f_1008_4]) ).
cnf(f_1008_8,plain,
( r2_hidden(sK243(U_2877),k1_relat_1(U_2877))
| ~ sP371(U_2877) ),
inference(clausify,[status(thm)],[f_1008_4]) ).
cnf(f_1008_9,plain,
( ~ v1_xboole_0(k1_funct_1(U_2877,sK243(U_2877)))
| ~ sP371(U_2877) ),
inference(clausify,[status(thm)],[f_1008_4]) ).
fof(f_1009_1,plain,
! [A] :
( ( ( v2_relat_1(A)
| ? [B] :
( v1_xboole_0(k1_funct_1(A,B))
& r2_hidden(B,k1_relat_1(A)) ) )
& ( ! [B] :
( ~ v1_xboole_0(k1_funct_1(A,B))
| ~ r2_hidden(B,k1_relat_1(A)) )
| ~ v2_relat_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d15_funct_1]) ).
fof(f_1009_2,plain,
! [U_2880] :
( ( ( v2_relat_1(U_2880)
| ? [U_2879] :
( v1_xboole_0(k1_funct_1(U_2880,U_2879))
& r2_hidden(U_2879,k1_relat_1(U_2880)) ) )
& ( ! [U_2878] :
( ~ v1_xboole_0(k1_funct_1(U_2880,U_2878))
| ~ r2_hidden(U_2878,k1_relat_1(U_2880)) )
| ~ v2_relat_1(U_2880) ) )
| ~ v1_funct_1(U_2880)
| ~ v1_relat_1(U_2880) ),
inference(variable_rename,[status(thm)],[f_1009_1]) ).
fof(f_1009_3,plain,
! [U_2880] :
( ( ( v2_relat_1(U_2880)
| ( v1_xboole_0(k1_funct_1(U_2880,sK244(U_2880)))
& r2_hidden(sK244(U_2880),k1_relat_1(U_2880)) ) )
& ( ! [U_2878] :
( ~ v1_xboole_0(k1_funct_1(U_2880,U_2878))
| ~ r2_hidden(U_2878,k1_relat_1(U_2880)) )
| ~ v2_relat_1(U_2880) ) )
| ~ v1_funct_1(U_2880)
| ~ v1_relat_1(U_2880) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK244]),skolemize(U_2879,sK244(U_2880))],[f_1009_2]) ).
fof(f_1009_4,plain,
( ! [U_2880] :
( v1_xboole_0(k1_funct_1(U_2880,sK244(U_2880)))
| ~ sP373(U_2880) )
& ! [U_2880] :
( r2_hidden(sK244(U_2880),k1_relat_1(U_2880))
| ~ sP373(U_2880) )
& ! [U_2880,U_2878] :
( v2_relat_1(U_2880)
| sP373(U_2880)
| ~ sP374(U_2880,U_2878) )
& ! [U_2880,U_2878] :
( ~ v1_xboole_0(k1_funct_1(U_2880,U_2878))
| ~ r2_hidden(U_2878,k1_relat_1(U_2880))
| ~ v2_relat_1(U_2880)
| ~ sP374(U_2880,U_2878) )
& ! [U_2880,U_2878] :
( sP374(U_2880,U_2878)
| ~ v1_funct_1(U_2880)
| ~ v1_relat_1(U_2880) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP373,sP374])],[f_1009_3]) ).
cnf(f_1009_5,plain,
( sP374(U_2880,U_2878)
| ~ v1_funct_1(U_2880)
| ~ v1_relat_1(U_2880) ),
inference(clausify,[status(thm)],[f_1009_4]) ).
cnf(f_1009_6,plain,
( ~ v1_xboole_0(k1_funct_1(U_2880,U_2878))
| ~ r2_hidden(U_2878,k1_relat_1(U_2880))
| ~ v2_relat_1(U_2880)
| ~ sP374(U_2880,U_2878) ),
inference(clausify,[status(thm)],[f_1009_4]) ).
cnf(f_1009_7,plain,
( v2_relat_1(U_2880)
| sP373(U_2880)
| ~ sP374(U_2880,U_2878) ),
inference(clausify,[status(thm)],[f_1009_4]) ).
cnf(f_1009_8,plain,
( r2_hidden(sK244(U_2880),k1_relat_1(U_2880))
| ~ sP373(U_2880) ),
inference(clausify,[status(thm)],[f_1009_4]) ).
cnf(f_1009_9,plain,
( v1_xboole_0(k1_funct_1(U_2880,sK244(U_2880)))
| ~ sP373(U_2880) ),
inference(clausify,[status(thm)],[f_1009_4]) ).
fof(f_1010_1,plain,
( ? [A] :
( ! [B,C] :
( ( r2_hidden(k4_tarski(B,C),A)
| ~ p1_s1_funct_1(B,C)
| ~ r2_hidden(B,f1_s1_funct_1) )
& ( ( p1_s1_funct_1(B,C)
& r2_hidden(B,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(B,C),A) ) )
& v1_funct_1(A)
& v1_relat_1(A) )
| ? [A,B,C] :
( B != C
& p1_s1_funct_1(A,C)
& p1_s1_funct_1(A,B) ) ),
inference(fof_nnf,[status(thm)],[s1_funct_1]) ).
fof(f_1010_2,plain,
( ? [U_2886] :
( ! [U_2885,U_2884] :
( ( r2_hidden(k4_tarski(U_2885,U_2884),U_2886)
| ~ p1_s1_funct_1(U_2885,U_2884)
| ~ r2_hidden(U_2885,f1_s1_funct_1) )
& ( ( p1_s1_funct_1(U_2885,U_2884)
& r2_hidden(U_2885,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(U_2885,U_2884),U_2886) ) )
& v1_funct_1(U_2886)
& v1_relat_1(U_2886) )
| ? [U_2883,U_2882,U_2881] :
( U_2882 != U_2881
& p1_s1_funct_1(U_2883,U_2881)
& p1_s1_funct_1(U_2883,U_2882) ) ),
inference(variable_rename,[status(thm)],[f_1010_1]) ).
fof(f_1010_3,plain,
( ? [U_2886] :
( ! [U_2890,U_2888] :
( r2_hidden(k4_tarski(U_2890,U_2888),U_2886)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1) )
& ! [U_2889,U_2887] :
( ( p1_s1_funct_1(U_2889,U_2887)
& r2_hidden(U_2889,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(U_2889,U_2887),U_2886) )
& v1_funct_1(U_2886)
& v1_relat_1(U_2886) )
| ? [U_2883,U_2882,U_2881] :
( U_2882 != U_2881
& p1_s1_funct_1(U_2883,U_2881)
& p1_s1_funct_1(U_2883,U_2882) ) ),
inference(miniscope,[status(thm)],[f_1010_2]) ).
fof(f_1010_4,plain,
( ? [U_2886] :
( ! [U_2890,U_2888] :
( r2_hidden(k4_tarski(U_2890,U_2888),U_2886)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1) )
& ! [U_2889,U_2887] :
( ( p1_s1_funct_1(U_2889,U_2887)
& r2_hidden(U_2889,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(U_2889,U_2887),U_2886) )
& v1_funct_1(U_2886)
& v1_relat_1(U_2886) )
| ? [U_2882,U_2881] :
( U_2882 != U_2881
& p1_s1_funct_1(sK245,U_2881)
& p1_s1_funct_1(sK245,U_2882) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK245]),skolemize(U_2883,sK245)],[f_1010_3]) ).
fof(f_1010_5,plain,
( ? [U_2886] :
( ! [U_2890,U_2888] :
( r2_hidden(k4_tarski(U_2890,U_2888),U_2886)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1) )
& ! [U_2889,U_2887] :
( ( p1_s1_funct_1(U_2889,U_2887)
& r2_hidden(U_2889,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(U_2889,U_2887),U_2886) )
& v1_funct_1(U_2886)
& v1_relat_1(U_2886) )
| ? [U_2881] :
( sK246 != U_2881
& p1_s1_funct_1(sK245,U_2881)
& p1_s1_funct_1(sK245,sK246) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK246]),skolemize(U_2882,sK246)],[f_1010_4]) ).
fof(f_1010_6,plain,
( ? [U_2886] :
( ! [U_2890,U_2888] :
( r2_hidden(k4_tarski(U_2890,U_2888),U_2886)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1) )
& ! [U_2889,U_2887] :
( ( p1_s1_funct_1(U_2889,U_2887)
& r2_hidden(U_2889,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(U_2889,U_2887),U_2886) )
& v1_funct_1(U_2886)
& v1_relat_1(U_2886) )
| ( sK246 != sK247
& p1_s1_funct_1(sK245,sK247)
& p1_s1_funct_1(sK245,sK246) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK247]),skolemize(U_2881,sK247)],[f_1010_5]) ).
fof(f_1010_7,plain,
( ( ! [U_2890,U_2888] :
( r2_hidden(k4_tarski(U_2890,U_2888),sK248)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1) )
& ! [U_2889,U_2887] :
( ( p1_s1_funct_1(U_2889,U_2887)
& r2_hidden(U_2889,f1_s1_funct_1) )
| ~ r2_hidden(k4_tarski(U_2889,U_2887),sK248) )
& v1_funct_1(sK248)
& v1_relat_1(sK248) )
| ( sK246 != sK247
& p1_s1_funct_1(sK245,sK247)
& p1_s1_funct_1(sK245,sK246) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK248]),skolemize(U_2886,sK248)],[f_1010_6]) ).
fof(f_1010_8,plain,
( ! [U_2887,U_2889] :
( p1_s1_funct_1(U_2889,U_2887)
| ~ sP376(U_2887,U_2889) )
& ! [U_2887,U_2889] :
( r2_hidden(U_2889,f1_s1_funct_1)
| ~ sP376(U_2887,U_2889) )
& ! [U_2887,U_2888,U_2890,U_2889] :
( r2_hidden(k4_tarski(U_2890,U_2888),sK248)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) )
& ! [U_2887,U_2888,U_2890,U_2889] :
( sP376(U_2887,U_2889)
| ~ r2_hidden(k4_tarski(U_2889,U_2887),sK248)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) )
& ! [U_2887,U_2888,U_2890,U_2889] :
( v1_funct_1(sK248)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) )
& ! [U_2887,U_2888,U_2890,U_2889] :
( v1_relat_1(sK248)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) )
& ( sK246 != sK247
| ~ sP375 )
& ( p1_s1_funct_1(sK245,sK247)
| ~ sP375 )
& ( p1_s1_funct_1(sK245,sK246)
| ~ sP375 )
& ! [U_2887,U_2888,U_2890,U_2889] :
( sP377(U_2887,U_2888,U_2890,U_2889)
| sP375 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP375,sP376,sP377])],[f_1010_7]) ).
cnf(f_1010_9,plain,
( sP377(U_2887,U_2888,U_2890,U_2889)
| sP375 ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_10,plain,
( p1_s1_funct_1(sK245,sK246)
| ~ sP375 ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_11,plain,
( p1_s1_funct_1(sK245,sK247)
| ~ sP375 ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_12,plain,
( sK246 != sK247
| ~ sP375 ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_13,plain,
( v1_relat_1(sK248)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_14,plain,
( v1_funct_1(sK248)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_15,plain,
( sP376(U_2887,U_2889)
| ~ r2_hidden(k4_tarski(U_2889,U_2887),sK248)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_16,plain,
( r2_hidden(k4_tarski(U_2890,U_2888),sK248)
| ~ p1_s1_funct_1(U_2890,U_2888)
| ~ r2_hidden(U_2890,f1_s1_funct_1)
| ~ sP377(U_2887,U_2888,U_2890,U_2889) ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_17,plain,
( r2_hidden(U_2889,f1_s1_funct_1)
| ~ sP376(U_2887,U_2889) ),
inference(clausify,[status(thm)],[f_1010_8]) ).
cnf(f_1010_18,plain,
( p1_s1_funct_1(U_2889,U_2887)
| ~ sP376(U_2887,U_2889) ),
inference(clausify,[status(thm)],[f_1010_8]) ).
fof(f_1011_1,plain,
( ? [A] :
( ! [B] :
( p1_s2_funct_1(B,k1_funct_1(A,B))
| ~ r2_hidden(B,f1_s2_funct_1) )
& k1_relat_1(A) = f1_s2_funct_1
& v1_funct_1(A)
& v1_relat_1(A) )
| ? [A] :
( ! [B] : ~ p1_s2_funct_1(A,B)
& r2_hidden(A,f1_s2_funct_1) )
| ? [A,B,C] :
( B != C
& p1_s2_funct_1(A,C)
& p1_s2_funct_1(A,B)
& r2_hidden(A,f1_s2_funct_1) ) ),
inference(fof_nnf,[status(thm)],[s2_funct_1]) ).
fof(f_1011_2,plain,
( ? [U_2897] :
( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(U_2897,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1) )
& k1_relat_1(U_2897) = f1_s2_funct_1
& v1_funct_1(U_2897)
& v1_relat_1(U_2897) )
| ? [U_2895] :
( ! [U_2894] : ~ p1_s2_funct_1(U_2895,U_2894)
& r2_hidden(U_2895,f1_s2_funct_1) )
| ? [U_2893,U_2892,U_2891] :
( U_2892 != U_2891
& p1_s2_funct_1(U_2893,U_2891)
& p1_s2_funct_1(U_2893,U_2892)
& r2_hidden(U_2893,f1_s2_funct_1) ) ),
inference(variable_rename,[status(thm)],[f_1011_1]) ).
fof(f_1011_3,plain,
( ? [U_2897] :
( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(U_2897,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1) )
& k1_relat_1(U_2897) = f1_s2_funct_1
& v1_funct_1(U_2897)
& v1_relat_1(U_2897) )
| ? [U_2895] :
( ! [U_2894] : ~ p1_s2_funct_1(U_2895,U_2894)
& r2_hidden(U_2895,f1_s2_funct_1) )
| ? [U_2892,U_2891] :
( U_2892 != U_2891
& p1_s2_funct_1(sK249,U_2891)
& p1_s2_funct_1(sK249,U_2892)
& r2_hidden(sK249,f1_s2_funct_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK249]),skolemize(U_2893,sK249)],[f_1011_2]) ).
fof(f_1011_4,plain,
( ? [U_2897] :
( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(U_2897,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1) )
& k1_relat_1(U_2897) = f1_s2_funct_1
& v1_funct_1(U_2897)
& v1_relat_1(U_2897) )
| ? [U_2895] :
( ! [U_2894] : ~ p1_s2_funct_1(U_2895,U_2894)
& r2_hidden(U_2895,f1_s2_funct_1) )
| ? [U_2891] :
( sK250 != U_2891
& p1_s2_funct_1(sK249,U_2891)
& p1_s2_funct_1(sK249,sK250)
& r2_hidden(sK249,f1_s2_funct_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250]),skolemize(U_2892,sK250)],[f_1011_3]) ).
fof(f_1011_5,plain,
( ? [U_2897] :
( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(U_2897,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1) )
& k1_relat_1(U_2897) = f1_s2_funct_1
& v1_funct_1(U_2897)
& v1_relat_1(U_2897) )
| ? [U_2895] :
( ! [U_2894] : ~ p1_s2_funct_1(U_2895,U_2894)
& r2_hidden(U_2895,f1_s2_funct_1) )
| ( sK250 != sK251
& p1_s2_funct_1(sK249,sK251)
& p1_s2_funct_1(sK249,sK250)
& r2_hidden(sK249,f1_s2_funct_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(U_2891,sK251)],[f_1011_4]) ).
fof(f_1011_6,plain,
( ? [U_2897] :
( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(U_2897,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1) )
& k1_relat_1(U_2897) = f1_s2_funct_1
& v1_funct_1(U_2897)
& v1_relat_1(U_2897) )
| ( ! [U_2894] : ~ p1_s2_funct_1(sK252,U_2894)
& r2_hidden(sK252,f1_s2_funct_1) )
| ( sK250 != sK251
& p1_s2_funct_1(sK249,sK251)
& p1_s2_funct_1(sK249,sK250)
& r2_hidden(sK249,f1_s2_funct_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK252]),skolemize(U_2895,sK252)],[f_1011_5]) ).
fof(f_1011_7,plain,
( ( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(sK253,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1) )
& k1_relat_1(sK253) = f1_s2_funct_1
& v1_funct_1(sK253)
& v1_relat_1(sK253) )
| ( ! [U_2894] : ~ p1_s2_funct_1(sK252,U_2894)
& r2_hidden(sK252,f1_s2_funct_1) )
| ( sK250 != sK251
& p1_s2_funct_1(sK249,sK251)
& p1_s2_funct_1(sK249,sK250)
& r2_hidden(sK249,f1_s2_funct_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK253]),skolemize(U_2897,sK253)],[f_1011_6]) ).
fof(f_1011_8,plain,
( ! [U_2896] :
( p1_s2_funct_1(U_2896,k1_funct_1(sK253,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1)
| ~ sP380(U_2896) )
& ! [U_2896] :
( k1_relat_1(sK253) = f1_s2_funct_1
| ~ sP380(U_2896) )
& ! [U_2896] :
( v1_funct_1(sK253)
| ~ sP380(U_2896) )
& ! [U_2896] :
( v1_relat_1(sK253)
| ~ sP380(U_2896) )
& ! [U_2894] :
( ~ p1_s2_funct_1(sK252,U_2894)
| ~ sP379(U_2894) )
& ! [U_2894] :
( r2_hidden(sK252,f1_s2_funct_1)
| ~ sP379(U_2894) )
& ( sK250 != sK251
| ~ sP378 )
& ( p1_s2_funct_1(sK249,sK251)
| ~ sP378 )
& ( p1_s2_funct_1(sK249,sK250)
| ~ sP378 )
& ( r2_hidden(sK249,f1_s2_funct_1)
| ~ sP378 )
& ! [U_2894,U_2896] :
( sP380(U_2896)
| sP379(U_2894)
| sP378 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP378,sP379,sP380])],[f_1011_7]) ).
cnf(f_1011_9,plain,
( sP380(U_2896)
| sP379(U_2894)
| sP378 ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_10,plain,
( r2_hidden(sK249,f1_s2_funct_1)
| ~ sP378 ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_11,plain,
( p1_s2_funct_1(sK249,sK250)
| ~ sP378 ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_12,plain,
( p1_s2_funct_1(sK249,sK251)
| ~ sP378 ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_13,plain,
( sK250 != sK251
| ~ sP378 ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_14,plain,
( r2_hidden(sK252,f1_s2_funct_1)
| ~ sP379(U_2894) ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_15,plain,
( ~ p1_s2_funct_1(sK252,U_2894)
| ~ sP379(U_2894) ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_16,plain,
( v1_relat_1(sK253)
| ~ sP380(U_2896) ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_17,plain,
( v1_funct_1(sK253)
| ~ sP380(U_2896) ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_18,plain,
( k1_relat_1(sK253) = f1_s2_funct_1
| ~ sP380(U_2896) ),
inference(clausify,[status(thm)],[f_1011_8]) ).
cnf(f_1011_19,plain,
( p1_s2_funct_1(U_2896,k1_funct_1(sK253,U_2896))
| ~ r2_hidden(U_2896,f1_s2_funct_1)
| ~ sP380(U_2896) ),
inference(clausify,[status(thm)],[f_1011_8]) ).
fof(f_1012_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f2_s3_funct_1(B)
| ~ r2_hidden(B,f1_s3_funct_1) )
& k1_relat_1(A) = f1_s3_funct_1
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s3_funct_1]) ).
fof(f_1012_2,plain,
? [U_2899] :
( ! [U_2898] :
( k1_funct_1(U_2899,U_2898) = f2_s3_funct_1(U_2898)
| ~ r2_hidden(U_2898,f1_s3_funct_1) )
& k1_relat_1(U_2899) = f1_s3_funct_1
& v1_funct_1(U_2899)
& v1_relat_1(U_2899) ),
inference(variable_rename,[status(thm)],[f_1012_1]) ).
fof(f_1012_3,plain,
( ! [U_2898] :
( k1_funct_1(sK254,U_2898) = f2_s3_funct_1(U_2898)
| ~ r2_hidden(U_2898,f1_s3_funct_1) )
& k1_relat_1(sK254) = f1_s3_funct_1
& v1_funct_1(sK254)
& v1_relat_1(sK254) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK254]),skolemize(U_2899,sK254)],[f_1012_2]) ).
fof(f_1012_4,plain,
( ! [U_2898] :
( k1_funct_1(sK254,U_2898) = f2_s3_funct_1(U_2898)
| ~ r2_hidden(U_2898,f1_s3_funct_1) )
& k1_relat_1(sK254) = f1_s3_funct_1
& v1_funct_1(sK254)
& v1_relat_1(sK254) ),
inference(definitional_conversion,[status(esa)],[f_1012_3]) ).
cnf(f_1012_5,plain,
v1_relat_1(sK254),
inference(clausify,[status(thm)],[f_1012_4]) ).
cnf(f_1012_6,plain,
v1_funct_1(sK254),
inference(clausify,[status(thm)],[f_1012_4]) ).
cnf(f_1012_7,plain,
k1_relat_1(sK254) = f1_s3_funct_1,
inference(clausify,[status(thm)],[f_1012_4]) ).
cnf(f_1012_8,plain,
( k1_funct_1(sK254,U_2898) = f2_s3_funct_1(U_2898)
| ~ r2_hidden(U_2898,f1_s3_funct_1) ),
inference(clausify,[status(thm)],[f_1012_4]) ).
fof(f_1013_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f2_s4_funct_1(B)
| ~ m1_subset_1(B,f1_s4_funct_1) )
& k1_relat_1(A) = f1_s4_funct_1
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s4_funct_1]) ).
fof(f_1013_2,plain,
? [U_2901] :
( ! [U_2900] :
( k1_funct_1(U_2901,U_2900) = f2_s4_funct_1(U_2900)
| ~ m1_subset_1(U_2900,f1_s4_funct_1) )
& k1_relat_1(U_2901) = f1_s4_funct_1
& v1_funct_1(U_2901)
& v1_relat_1(U_2901) ),
inference(variable_rename,[status(thm)],[f_1013_1]) ).
fof(f_1013_3,plain,
( ! [U_2900] :
( k1_funct_1(sK255,U_2900) = f2_s4_funct_1(U_2900)
| ~ m1_subset_1(U_2900,f1_s4_funct_1) )
& k1_relat_1(sK255) = f1_s4_funct_1
& v1_funct_1(sK255)
& v1_relat_1(sK255) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK255]),skolemize(U_2901,sK255)],[f_1013_2]) ).
fof(f_1013_4,plain,
( ! [U_2900] :
( k1_funct_1(sK255,U_2900) = f2_s4_funct_1(U_2900)
| ~ m1_subset_1(U_2900,f1_s4_funct_1) )
& k1_relat_1(sK255) = f1_s4_funct_1
& v1_funct_1(sK255)
& v1_relat_1(sK255) ),
inference(definitional_conversion,[status(esa)],[f_1013_3]) ).
cnf(f_1013_5,plain,
v1_relat_1(sK255),
inference(clausify,[status(thm)],[f_1013_4]) ).
cnf(f_1013_6,plain,
v1_funct_1(sK255),
inference(clausify,[status(thm)],[f_1013_4]) ).
cnf(f_1013_7,plain,
k1_relat_1(sK255) = f1_s4_funct_1,
inference(clausify,[status(thm)],[f_1013_4]) ).
cnf(f_1013_8,plain,
( k1_funct_1(sK255,U_2900) = f2_s4_funct_1(U_2900)
| ~ m1_subset_1(U_2900,f1_s4_funct_1) ),
inference(clausify,[status(thm)],[f_1013_4]) ).
fof(f_1014_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_funct_1]) ).
fof(f_1014_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1014_1]) ).
cnf(f_1014_3,plain,
$true,
inference(clausify,[status(thm)],[f_1014_2]) ).
fof(f_1015_1,plain,
! [A] :
( ( v1_funct_1(k2_funct_1(A))
& v1_relat_1(k2_funct_1(A)) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_funct_1]) ).
fof(f_1015_2,plain,
! [U_2902] :
( ( v1_funct_1(k2_funct_1(U_2902))
& v1_relat_1(k2_funct_1(U_2902)) )
| ~ v1_funct_1(U_2902)
| ~ v1_relat_1(U_2902) ),
inference(variable_rename,[status(thm)],[f_1015_1]) ).
fof(f_1015_3,plain,
( ! [U_2902] :
( v1_funct_1(k2_funct_1(U_2902))
| ~ sP381(U_2902) )
& ! [U_2902] :
( v1_relat_1(k2_funct_1(U_2902))
| ~ sP381(U_2902) )
& ! [U_2902] :
( sP381(U_2902)
| ~ v1_funct_1(U_2902)
| ~ v1_relat_1(U_2902) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP381])],[f_1015_2]) ).
cnf(f_1015_4,plain,
( sP381(U_2902)
| ~ v1_funct_1(U_2902)
| ~ v1_relat_1(U_2902) ),
inference(clausify,[status(thm)],[f_1015_3]) ).
cnf(f_1015_5,plain,
( v1_relat_1(k2_funct_1(U_2902))
| ~ sP381(U_2902) ),
inference(clausify,[status(thm)],[f_1015_3]) ).
cnf(f_1015_6,plain,
( v1_funct_1(k2_funct_1(U_2902))
| ~ sP381(U_2902) ),
inference(clausify,[status(thm)],[f_1015_3]) ).
fof(f_1016_1,plain,
! [A] : ~ v1_xboole_0(k1_ordinal1(A)),
inference(fof_nnf,[status(thm)],[fc1_ordinal1]) ).
fof(f_1016_2,plain,
! [U_2903] : ~ v1_xboole_0(k1_ordinal1(U_2903)),
inference(variable_rename,[status(thm)],[f_1016_1]) ).
fof(f_1016_3,plain,
! [U_2903] : ~ v1_xboole_0(k1_ordinal1(U_2903)),
inference(definitional_conversion,[status(esa)],[f_1016_2]) ).
cnf(f_1016_4,plain,
~ v1_xboole_0(k1_ordinal1(U_2903)),
inference(clausify,[status(thm)],[f_1016_3]) ).
fof(f_1017_1,plain,
! [A] :
( ( v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[cc1_ordinal1]) ).
fof(f_1017_2,plain,
! [U_2904] :
( ( v2_ordinal1(U_2904)
& v1_ordinal1(U_2904) )
| ~ v3_ordinal1(U_2904) ),
inference(variable_rename,[status(thm)],[f_1017_1]) ).
fof(f_1017_3,plain,
( ! [U_2904] :
( v2_ordinal1(U_2904)
| ~ sP382(U_2904) )
& ! [U_2904] :
( v1_ordinal1(U_2904)
| ~ sP382(U_2904) )
& ! [U_2904] :
( sP382(U_2904)
| ~ v3_ordinal1(U_2904) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP382])],[f_1017_2]) ).
cnf(f_1017_4,plain,
( sP382(U_2904)
| ~ v3_ordinal1(U_2904) ),
inference(clausify,[status(thm)],[f_1017_3]) ).
cnf(f_1017_5,plain,
( v1_ordinal1(U_2904)
| ~ sP382(U_2904) ),
inference(clausify,[status(thm)],[f_1017_3]) ).
cnf(f_1017_6,plain,
( v2_ordinal1(U_2904)
| ~ sP382(U_2904) ),
inference(clausify,[status(thm)],[f_1017_3]) ).
fof(f_1018_1,plain,
! [A] :
( v3_ordinal1(A)
| ~ v2_ordinal1(A)
| ~ v1_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[cc2_ordinal1]) ).
fof(f_1018_2,plain,
! [U_2905] :
( v3_ordinal1(U_2905)
| ~ v2_ordinal1(U_2905)
| ~ v1_ordinal1(U_2905) ),
inference(variable_rename,[status(thm)],[f_1018_1]) ).
fof(f_1018_3,plain,
! [U_2905] :
( v3_ordinal1(U_2905)
| ~ v2_ordinal1(U_2905)
| ~ v1_ordinal1(U_2905) ),
inference(definitional_conversion,[status(esa)],[f_1018_2]) ).
cnf(f_1018_4,plain,
( v3_ordinal1(U_2905)
| ~ v2_ordinal1(U_2905)
| ~ v1_ordinal1(U_2905) ),
inference(clausify,[status(thm)],[f_1018_3]) ).
fof(f_1019_1,plain,
? [A] :
( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[rc1_ordinal1]) ).
fof(f_1019_2,plain,
? [U_2906] :
( v3_ordinal1(U_2906)
& v2_ordinal1(U_2906)
& v1_ordinal1(U_2906) ),
inference(variable_rename,[status(thm)],[f_1019_1]) ).
fof(f_1019_3,plain,
( v3_ordinal1(sK256)
& v2_ordinal1(sK256)
& v1_ordinal1(sK256) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK256]),skolemize(U_2906,sK256)],[f_1019_2]) ).
fof(f_1019_4,plain,
( v3_ordinal1(sK256)
& v2_ordinal1(sK256)
& v1_ordinal1(sK256) ),
inference(definitional_conversion,[status(esa)],[f_1019_3]) ).
cnf(f_1019_5,plain,
v1_ordinal1(sK256),
inference(clausify,[status(thm)],[f_1019_4]) ).
cnf(f_1019_6,plain,
v2_ordinal1(sK256),
inference(clausify,[status(thm)],[f_1019_4]) ).
cnf(f_1019_7,plain,
v3_ordinal1(sK256),
inference(clausify,[status(thm)],[f_1019_4]) ).
fof(f_1020_1,plain,
? [A] :
( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A)
& v1_xboole_0(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_ordinal1]) ).
fof(f_1020_2,plain,
? [U_2907] :
( v3_ordinal1(U_2907)
& v2_ordinal1(U_2907)
& v1_ordinal1(U_2907)
& v1_xboole_0(U_2907)
& v2_funct_1(U_2907)
& v1_funct_1(U_2907)
& v1_relat_1(U_2907) ),
inference(variable_rename,[status(thm)],[f_1020_1]) ).
fof(f_1020_3,plain,
( v3_ordinal1(sK257)
& v2_ordinal1(sK257)
& v1_ordinal1(sK257)
& v1_xboole_0(sK257)
& v2_funct_1(sK257)
& v1_funct_1(sK257)
& v1_relat_1(sK257) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK257]),skolemize(U_2907,sK257)],[f_1020_2]) ).
fof(f_1020_4,plain,
( v3_ordinal1(sK257)
& v2_ordinal1(sK257)
& v1_ordinal1(sK257)
& v1_xboole_0(sK257)
& v2_funct_1(sK257)
& v1_funct_1(sK257)
& v1_relat_1(sK257) ),
inference(definitional_conversion,[status(esa)],[f_1020_3]) ).
cnf(f_1020_5,plain,
v1_relat_1(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
cnf(f_1020_6,plain,
v1_funct_1(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
cnf(f_1020_7,plain,
v2_funct_1(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
cnf(f_1020_8,plain,
v1_xboole_0(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
cnf(f_1020_9,plain,
v1_ordinal1(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
cnf(f_1020_10,plain,
v2_ordinal1(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
cnf(f_1020_11,plain,
v3_ordinal1(sK257),
inference(clausify,[status(thm)],[f_1020_4]) ).
fof(f_1021_1,plain,
! [A] :
( ( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc3_ordinal1]) ).
fof(f_1021_2,plain,
! [U_2908] :
( ( v3_ordinal1(U_2908)
& v2_ordinal1(U_2908)
& v1_ordinal1(U_2908) )
| ~ v1_xboole_0(U_2908) ),
inference(variable_rename,[status(thm)],[f_1021_1]) ).
fof(f_1021_3,plain,
( ! [U_2908] :
( v3_ordinal1(U_2908)
| ~ sP383(U_2908) )
& ! [U_2908] :
( v2_ordinal1(U_2908)
| ~ sP383(U_2908) )
& ! [U_2908] :
( v1_ordinal1(U_2908)
| ~ sP383(U_2908) )
& ! [U_2908] :
( sP383(U_2908)
| ~ v1_xboole_0(U_2908) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP383])],[f_1021_2]) ).
cnf(f_1021_4,plain,
( sP383(U_2908)
| ~ v1_xboole_0(U_2908) ),
inference(clausify,[status(thm)],[f_1021_3]) ).
cnf(f_1021_5,plain,
( v1_ordinal1(U_2908)
| ~ sP383(U_2908) ),
inference(clausify,[status(thm)],[f_1021_3]) ).
cnf(f_1021_6,plain,
( v2_ordinal1(U_2908)
| ~ sP383(U_2908) ),
inference(clausify,[status(thm)],[f_1021_3]) ).
cnf(f_1021_7,plain,
( v3_ordinal1(U_2908)
| ~ sP383(U_2908) ),
inference(clausify,[status(thm)],[f_1021_3]) ).
fof(f_1022_1,plain,
( v3_ordinal1(k1_xboole_0)
& v2_ordinal1(k1_xboole_0)
& v1_ordinal1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc2_ordinal1]) ).
fof(f_1022_2,plain,
( v3_ordinal1(k1_xboole_0)
& v2_ordinal1(k1_xboole_0)
& v1_ordinal1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
inference(definitional_conversion,[status(esa)],[f_1022_1]) ).
cnf(f_1022_3,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_4,plain,
v3_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_5,plain,
v1_funct_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_6,plain,
v2_funct_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_7,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_8,plain,
v1_ordinal1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_9,plain,
v2_ordinal1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
cnf(f_1022_10,plain,
v3_ordinal1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1022_2]) ).
fof(f_1023_1,plain,
? [A] :
( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_ordinal1]) ).
fof(f_1023_2,plain,
? [U_2909] :
( v3_ordinal1(U_2909)
& v2_ordinal1(U_2909)
& v1_ordinal1(U_2909)
& ~ v1_xboole_0(U_2909) ),
inference(variable_rename,[status(thm)],[f_1023_1]) ).
fof(f_1023_3,plain,
( v3_ordinal1(sK258)
& v2_ordinal1(sK258)
& v1_ordinal1(sK258)
& ~ v1_xboole_0(sK258) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK258]),skolemize(U_2909,sK258)],[f_1023_2]) ).
fof(f_1023_4,plain,
( v3_ordinal1(sK258)
& v2_ordinal1(sK258)
& v1_ordinal1(sK258)
& ~ v1_xboole_0(sK258) ),
inference(definitional_conversion,[status(esa)],[f_1023_3]) ).
cnf(f_1023_5,plain,
~ v1_xboole_0(sK258),
inference(clausify,[status(thm)],[f_1023_4]) ).
cnf(f_1023_6,plain,
v1_ordinal1(sK258),
inference(clausify,[status(thm)],[f_1023_4]) ).
cnf(f_1023_7,plain,
v2_ordinal1(sK258),
inference(clausify,[status(thm)],[f_1023_4]) ).
cnf(f_1023_8,plain,
v3_ordinal1(sK258),
inference(clausify,[status(thm)],[f_1023_4]) ).
fof(f_1024_1,plain,
! [A] :
( ( v3_ordinal1(k1_ordinal1(A))
& v2_ordinal1(k1_ordinal1(A))
& v1_ordinal1(k1_ordinal1(A))
& ~ v1_xboole_0(k1_ordinal1(A)) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[fc3_ordinal1]) ).
fof(f_1024_2,plain,
! [U_2910] :
( ( v3_ordinal1(k1_ordinal1(U_2910))
& v2_ordinal1(k1_ordinal1(U_2910))
& v1_ordinal1(k1_ordinal1(U_2910))
& ~ v1_xboole_0(k1_ordinal1(U_2910)) )
| ~ v3_ordinal1(U_2910) ),
inference(variable_rename,[status(thm)],[f_1024_1]) ).
fof(f_1024_3,plain,
( ! [U_2910] :
( v3_ordinal1(k1_ordinal1(U_2910))
| ~ sP384(U_2910) )
& ! [U_2910] :
( v2_ordinal1(k1_ordinal1(U_2910))
| ~ sP384(U_2910) )
& ! [U_2910] :
( v1_ordinal1(k1_ordinal1(U_2910))
| ~ sP384(U_2910) )
& ! [U_2910] :
( ~ v1_xboole_0(k1_ordinal1(U_2910))
| ~ sP384(U_2910) )
& ! [U_2910] :
( sP384(U_2910)
| ~ v3_ordinal1(U_2910) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP384])],[f_1024_2]) ).
cnf(f_1024_4,plain,
( sP384(U_2910)
| ~ v3_ordinal1(U_2910) ),
inference(clausify,[status(thm)],[f_1024_3]) ).
cnf(f_1024_5,plain,
( ~ v1_xboole_0(k1_ordinal1(U_2910))
| ~ sP384(U_2910) ),
inference(clausify,[status(thm)],[f_1024_3]) ).
cnf(f_1024_6,plain,
( v1_ordinal1(k1_ordinal1(U_2910))
| ~ sP384(U_2910) ),
inference(clausify,[status(thm)],[f_1024_3]) ).
cnf(f_1024_7,plain,
( v2_ordinal1(k1_ordinal1(U_2910))
| ~ sP384(U_2910) ),
inference(clausify,[status(thm)],[f_1024_3]) ).
cnf(f_1024_8,plain,
( v3_ordinal1(k1_ordinal1(U_2910))
| ~ sP384(U_2910) ),
inference(clausify,[status(thm)],[f_1024_3]) ).
fof(f_1025_1,plain,
! [A] :
( ( v3_ordinal1(k3_tarski(A))
& v2_ordinal1(k3_tarski(A))
& v1_ordinal1(k3_tarski(A)) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[fc4_ordinal1]) ).
fof(f_1025_2,plain,
! [U_2911] :
( ( v3_ordinal1(k3_tarski(U_2911))
& v2_ordinal1(k3_tarski(U_2911))
& v1_ordinal1(k3_tarski(U_2911)) )
| ~ v3_ordinal1(U_2911) ),
inference(variable_rename,[status(thm)],[f_1025_1]) ).
fof(f_1025_3,plain,
( ! [U_2911] :
( v3_ordinal1(k3_tarski(U_2911))
| ~ sP385(U_2911) )
& ! [U_2911] :
( v2_ordinal1(k3_tarski(U_2911))
| ~ sP385(U_2911) )
& ! [U_2911] :
( v1_ordinal1(k3_tarski(U_2911))
| ~ sP385(U_2911) )
& ! [U_2911] :
( sP385(U_2911)
| ~ v3_ordinal1(U_2911) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP385])],[f_1025_2]) ).
cnf(f_1025_4,plain,
( sP385(U_2911)
| ~ v3_ordinal1(U_2911) ),
inference(clausify,[status(thm)],[f_1025_3]) ).
cnf(f_1025_5,plain,
( v1_ordinal1(k3_tarski(U_2911))
| ~ sP385(U_2911) ),
inference(clausify,[status(thm)],[f_1025_3]) ).
cnf(f_1025_6,plain,
( v2_ordinal1(k3_tarski(U_2911))
| ~ sP385(U_2911) ),
inference(clausify,[status(thm)],[f_1025_3]) ).
cnf(f_1025_7,plain,
( v3_ordinal1(k3_tarski(U_2911))
| ~ sP385(U_2911) ),
inference(clausify,[status(thm)],[f_1025_3]) ).
fof(f_1026_1,plain,
? [A] :
( v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc4_ordinal1]) ).
fof(f_1026_2,plain,
? [U_2912] :
( v5_ordinal1(U_2912)
& v1_funct_1(U_2912)
& v1_relat_1(U_2912) ),
inference(variable_rename,[status(thm)],[f_1026_1]) ).
fof(f_1026_3,plain,
( v5_ordinal1(sK259)
& v1_funct_1(sK259)
& v1_relat_1(sK259) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK259]),skolemize(U_2912,sK259)],[f_1026_2]) ).
fof(f_1026_4,plain,
( v5_ordinal1(sK259)
& v1_funct_1(sK259)
& v1_relat_1(sK259) ),
inference(definitional_conversion,[status(esa)],[f_1026_3]) ).
cnf(f_1026_5,plain,
v1_relat_1(sK259),
inference(clausify,[status(thm)],[f_1026_4]) ).
cnf(f_1026_6,plain,
v1_funct_1(sK259),
inference(clausify,[status(thm)],[f_1026_4]) ).
cnf(f_1026_7,plain,
v5_ordinal1(sK259),
inference(clausify,[status(thm)],[f_1026_4]) ).
fof(f_1027_1,plain,
! [A] :
( ( v3_ordinal1(k1_relat_1(A))
& v2_ordinal1(k1_relat_1(A))
& v1_ordinal1(k1_relat_1(A)) )
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc5_ordinal1]) ).
fof(f_1027_2,plain,
! [U_2913] :
( ( v3_ordinal1(k1_relat_1(U_2913))
& v2_ordinal1(k1_relat_1(U_2913))
& v1_ordinal1(k1_relat_1(U_2913)) )
| ~ v5_ordinal1(U_2913)
| ~ v1_funct_1(U_2913)
| ~ v1_relat_1(U_2913) ),
inference(variable_rename,[status(thm)],[f_1027_1]) ).
fof(f_1027_3,plain,
( ! [U_2913] :
( v3_ordinal1(k1_relat_1(U_2913))
| ~ sP386(U_2913) )
& ! [U_2913] :
( v2_ordinal1(k1_relat_1(U_2913))
| ~ sP386(U_2913) )
& ! [U_2913] :
( v1_ordinal1(k1_relat_1(U_2913))
| ~ sP386(U_2913) )
& ! [U_2913] :
( sP386(U_2913)
| ~ v5_ordinal1(U_2913)
| ~ v1_funct_1(U_2913)
| ~ v1_relat_1(U_2913) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP386])],[f_1027_2]) ).
cnf(f_1027_4,plain,
( sP386(U_2913)
| ~ v5_ordinal1(U_2913)
| ~ v1_funct_1(U_2913)
| ~ v1_relat_1(U_2913) ),
inference(clausify,[status(thm)],[f_1027_3]) ).
cnf(f_1027_5,plain,
( v1_ordinal1(k1_relat_1(U_2913))
| ~ sP386(U_2913) ),
inference(clausify,[status(thm)],[f_1027_3]) ).
cnf(f_1027_6,plain,
( v2_ordinal1(k1_relat_1(U_2913))
| ~ sP386(U_2913) ),
inference(clausify,[status(thm)],[f_1027_3]) ).
cnf(f_1027_7,plain,
( v3_ordinal1(k1_relat_1(U_2913))
| ~ sP386(U_2913) ),
inference(clausify,[status(thm)],[f_1027_3]) ).
fof(f_1028_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_ordinal1]) ).
fof(f_1028_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1028_1]) ).
cnf(f_1028_3,plain,
$true,
inference(clausify,[status(thm)],[f_1028_2]) ).
fof(f_1029_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_ordinal1]) ).
fof(f_1029_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1029_1]) ).
cnf(f_1029_3,plain,
$true,
inference(clausify,[status(thm)],[f_1029_2]) ).
fof(f_1030_1,plain,
! [A,B,C] :
( ~ r2_hidden(C,A)
| ~ r2_hidden(B,C)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t3_ordinal1]) ).
fof(f_1030_2,plain,
! [U_2916,U_2915,U_2914] :
( ~ r2_hidden(U_2914,U_2916)
| ~ r2_hidden(U_2915,U_2914)
| ~ r2_hidden(U_2916,U_2915) ),
inference(variable_rename,[status(thm)],[f_1030_1]) ).
fof(f_1030_3,plain,
! [U_2916,U_2915] :
( ! [U_2914] :
( ~ r2_hidden(U_2914,U_2916)
| ~ r2_hidden(U_2915,U_2914) )
| ~ r2_hidden(U_2916,U_2915) ),
inference(miniscope,[status(thm)],[f_1030_2]) ).
fof(f_1030_4,plain,
! [U_2915,U_2914,U_2916] :
( ~ r2_hidden(U_2914,U_2916)
| ~ r2_hidden(U_2915,U_2914)
| ~ r2_hidden(U_2916,U_2915) ),
inference(definitional_conversion,[status(esa)],[f_1030_3]) ).
cnf(f_1030_5,plain,
( ~ r2_hidden(U_2914,U_2916)
| ~ r2_hidden(U_2915,U_2914)
| ~ r2_hidden(U_2916,U_2915) ),
inference(clausify,[status(thm)],[f_1030_4]) ).
fof(f_1031_1,plain,
! [A,B,C,D] :
( ~ r2_hidden(D,A)
| ~ r2_hidden(C,D)
| ~ r2_hidden(B,C)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t4_ordinal1]) ).
fof(f_1031_2,plain,
! [U_2920,U_2919,U_2918,U_2917] :
( ~ r2_hidden(U_2917,U_2920)
| ~ r2_hidden(U_2918,U_2917)
| ~ r2_hidden(U_2919,U_2918)
| ~ r2_hidden(U_2920,U_2919) ),
inference(variable_rename,[status(thm)],[f_1031_1]) ).
fof(f_1031_3,plain,
! [U_2920,U_2919] :
( ! [U_2918] :
( ! [U_2917] :
( ~ r2_hidden(U_2917,U_2920)
| ~ r2_hidden(U_2918,U_2917) )
| ~ r2_hidden(U_2919,U_2918) )
| ~ r2_hidden(U_2920,U_2919) ),
inference(miniscope,[status(thm)],[f_1031_2]) ).
fof(f_1031_4,plain,
! [U_2920,U_2919,U_2918,U_2917] :
( ~ r2_hidden(U_2917,U_2920)
| ~ r2_hidden(U_2918,U_2917)
| ~ r2_hidden(U_2919,U_2918)
| ~ r2_hidden(U_2920,U_2919) ),
inference(definitional_conversion,[status(esa)],[f_1031_3]) ).
cnf(f_1031_5,plain,
( ~ r2_hidden(U_2917,U_2920)
| ~ r2_hidden(U_2918,U_2917)
| ~ r2_hidden(U_2919,U_2918)
| ~ r2_hidden(U_2920,U_2919) ),
inference(clausify,[status(thm)],[f_1031_4]) ).
fof(f_1032_1,plain,
! [A,B,C,D,E] :
( ~ r2_hidden(E,A)
| ~ r2_hidden(D,E)
| ~ r2_hidden(C,D)
| ~ r2_hidden(B,C)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t5_ordinal1]) ).
fof(f_1032_2,plain,
! [U_2925,U_2924,U_2923,U_2922,U_2921] :
( ~ r2_hidden(U_2921,U_2925)
| ~ r2_hidden(U_2922,U_2921)
| ~ r2_hidden(U_2923,U_2922)
| ~ r2_hidden(U_2924,U_2923)
| ~ r2_hidden(U_2925,U_2924) ),
inference(variable_rename,[status(thm)],[f_1032_1]) ).
fof(f_1032_3,plain,
! [U_2925,U_2924] :
( ! [U_2923] :
( ! [U_2922] :
( ! [U_2921] :
( ~ r2_hidden(U_2921,U_2925)
| ~ r2_hidden(U_2922,U_2921) )
| ~ r2_hidden(U_2923,U_2922) )
| ~ r2_hidden(U_2924,U_2923) )
| ~ r2_hidden(U_2925,U_2924) ),
inference(miniscope,[status(thm)],[f_1032_2]) ).
fof(f_1032_4,plain,
! [U_2925,U_2924,U_2923,U_2921,U_2922] :
( ~ r2_hidden(U_2921,U_2925)
| ~ r2_hidden(U_2922,U_2921)
| ~ r2_hidden(U_2923,U_2922)
| ~ r2_hidden(U_2924,U_2923)
| ~ r2_hidden(U_2925,U_2924) ),
inference(definitional_conversion,[status(esa)],[f_1032_3]) ).
cnf(f_1032_5,plain,
( ~ r2_hidden(U_2921,U_2925)
| ~ r2_hidden(U_2922,U_2921)
| ~ r2_hidden(U_2923,U_2922)
| ~ r2_hidden(U_2924,U_2923)
| ~ r2_hidden(U_2925,U_2924) ),
inference(clausify,[status(thm)],[f_1032_4]) ).
fof(f_1033_1,plain,
! [A,B,C,D,E,F] :
( ~ r2_hidden(F,A)
| ~ r2_hidden(E,F)
| ~ r2_hidden(D,E)
| ~ r2_hidden(C,D)
| ~ r2_hidden(B,C)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t6_ordinal1]) ).
fof(f_1033_2,plain,
! [U_2931,U_2930,U_2929,U_2928,U_2927,U_2926] :
( ~ r2_hidden(U_2926,U_2931)
| ~ r2_hidden(U_2927,U_2926)
| ~ r2_hidden(U_2928,U_2927)
| ~ r2_hidden(U_2929,U_2928)
| ~ r2_hidden(U_2930,U_2929)
| ~ r2_hidden(U_2931,U_2930) ),
inference(variable_rename,[status(thm)],[f_1033_1]) ).
fof(f_1033_3,plain,
! [U_2931,U_2930] :
( ! [U_2929] :
( ! [U_2928] :
( ! [U_2927] :
( ! [U_2926] :
( ~ r2_hidden(U_2926,U_2931)
| ~ r2_hidden(U_2927,U_2926) )
| ~ r2_hidden(U_2928,U_2927) )
| ~ r2_hidden(U_2929,U_2928) )
| ~ r2_hidden(U_2930,U_2929) )
| ~ r2_hidden(U_2931,U_2930) ),
inference(miniscope,[status(thm)],[f_1033_2]) ).
fof(f_1033_4,plain,
! [U_2930,U_2931,U_2927,U_2926,U_2929,U_2928] :
( ~ r2_hidden(U_2926,U_2931)
| ~ r2_hidden(U_2927,U_2926)
| ~ r2_hidden(U_2928,U_2927)
| ~ r2_hidden(U_2929,U_2928)
| ~ r2_hidden(U_2930,U_2929)
| ~ r2_hidden(U_2931,U_2930) ),
inference(definitional_conversion,[status(esa)],[f_1033_3]) ).
cnf(f_1033_5,plain,
( ~ r2_hidden(U_2926,U_2931)
| ~ r2_hidden(U_2927,U_2926)
| ~ r2_hidden(U_2928,U_2927)
| ~ r2_hidden(U_2929,U_2928)
| ~ r2_hidden(U_2930,U_2929)
| ~ r2_hidden(U_2931,U_2930) ),
inference(clausify,[status(thm)],[f_1033_4]) ).
fof(f_1034_1,plain,
! [A,B] :
( ~ r1_tarski(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_ordinal1]) ).
fof(f_1034_2,plain,
! [U_2933,U_2932] :
( ~ r1_tarski(U_2932,U_2933)
| ~ r2_hidden(U_2933,U_2932) ),
inference(variable_rename,[status(thm)],[f_1034_1]) ).
fof(f_1034_3,plain,
! [U_2932,U_2933] :
( ~ r1_tarski(U_2932,U_2933)
| ~ r2_hidden(U_2933,U_2932) ),
inference(definitional_conversion,[status(esa)],[f_1034_2]) ).
cnf(f_1034_4,plain,
( ~ r1_tarski(U_2932,U_2933)
| ~ r2_hidden(U_2933,U_2932) ),
inference(clausify,[status(thm)],[f_1034_3]) ).
fof(f_1035_1,plain,
! [A] : k1_ordinal1(A) = k2_xboole_0(A,k1_tarski(A)),
inference(fof_nnf,[status(thm)],[d1_ordinal1]) ).
fof(f_1035_2,plain,
! [U_2934] : k1_ordinal1(U_2934) = k2_xboole_0(U_2934,k1_tarski(U_2934)),
inference(variable_rename,[status(thm)],[f_1035_1]) ).
fof(f_1035_3,plain,
! [U_2934] : k1_ordinal1(U_2934) = k2_xboole_0(U_2934,k1_tarski(U_2934)),
inference(definitional_conversion,[status(esa)],[f_1035_2]) ).
cnf(f_1035_4,plain,
k1_ordinal1(U_2934) = k2_xboole_0(U_2934,k1_tarski(U_2934)),
inference(clausify,[status(thm)],[f_1035_3]) ).
fof(f_1036_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_ordinal1]) ).
fof(f_1036_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1036_1]) ).
cnf(f_1036_3,plain,
$true,
inference(clausify,[status(thm)],[f_1036_2]) ).
fof(f_1037_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_ordinal1]) ).
fof(f_1037_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1037_1]) ).
cnf(f_1037_3,plain,
$true,
inference(clausify,[status(thm)],[f_1037_2]) ).
fof(f_1038_1,plain,
! [A] : r2_hidden(A,k1_ordinal1(A)),
inference(fof_nnf,[status(thm)],[t10_ordinal1]) ).
fof(f_1038_2,plain,
! [U_2935] : r2_hidden(U_2935,k1_ordinal1(U_2935)),
inference(variable_rename,[status(thm)],[f_1038_1]) ).
fof(f_1038_3,plain,
! [U_2935] : r2_hidden(U_2935,k1_ordinal1(U_2935)),
inference(definitional_conversion,[status(esa)],[f_1038_2]) ).
cnf(f_1038_4,plain,
r2_hidden(U_2935,k1_ordinal1(U_2935)),
inference(clausify,[status(thm)],[f_1038_3]) ).
fof(f_1039_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_ordinal1]) ).
fof(f_1039_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1039_1]) ).
cnf(f_1039_3,plain,
$true,
inference(clausify,[status(thm)],[f_1039_2]) ).
fof(f_1040_1,plain,
! [A,B] :
( A = B
| k1_ordinal1(A) != k1_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[t12_ordinal1]) ).
fof(f_1040_2,plain,
! [U_2937,U_2936] :
( U_2937 = U_2936
| k1_ordinal1(U_2937) != k1_ordinal1(U_2936) ),
inference(variable_rename,[status(thm)],[f_1040_1]) ).
fof(f_1040_3,plain,
! [U_2936,U_2937] :
( U_2937 = U_2936
| k1_ordinal1(U_2937) != k1_ordinal1(U_2936) ),
inference(definitional_conversion,[status(esa)],[f_1040_2]) ).
cnf(f_1040_4,plain,
( U_2937 = U_2936
| k1_ordinal1(U_2937) != k1_ordinal1(U_2936) ),
inference(clausify,[status(thm)],[f_1040_3]) ).
fof(f_1041_1,plain,
! [A,B] :
( ( r2_hidden(A,k1_ordinal1(B))
| ( A != B
& ~ r2_hidden(A,B) ) )
& ( A = B
| r2_hidden(A,B)
| ~ r2_hidden(A,k1_ordinal1(B)) ) ),
inference(fof_nnf,[status(thm)],[t13_ordinal1]) ).
fof(f_1041_2,plain,
! [U_2939,U_2938] :
( ( r2_hidden(U_2939,k1_ordinal1(U_2938))
| ( U_2939 != U_2938
& ~ r2_hidden(U_2939,U_2938) ) )
& ( U_2939 = U_2938
| r2_hidden(U_2939,U_2938)
| ~ r2_hidden(U_2939,k1_ordinal1(U_2938)) ) ),
inference(variable_rename,[status(thm)],[f_1041_1]) ).
fof(f_1041_3,plain,
( ! [U_2943,U_2941] :
( r2_hidden(U_2943,k1_ordinal1(U_2941))
| ( U_2943 != U_2941
& ~ r2_hidden(U_2943,U_2941) ) )
& ! [U_2942,U_2940] :
( U_2942 = U_2940
| r2_hidden(U_2942,U_2940)
| ~ r2_hidden(U_2942,k1_ordinal1(U_2940)) ) ),
inference(miniscope,[status(thm)],[f_1041_2]) ).
fof(f_1041_4,plain,
( ! [U_2943,U_2941] :
( U_2943 != U_2941
| ~ sP387(U_2943,U_2941) )
& ! [U_2943,U_2941] :
( ~ r2_hidden(U_2943,U_2941)
| ~ sP387(U_2943,U_2941) )
& ! [U_2943,U_2941] :
( r2_hidden(U_2943,k1_ordinal1(U_2941))
| sP387(U_2943,U_2941) )
& ! [U_2942,U_2940] :
( U_2942 = U_2940
| r2_hidden(U_2942,U_2940)
| ~ r2_hidden(U_2942,k1_ordinal1(U_2940)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP387])],[f_1041_3]) ).
cnf(f_1041_5,plain,
( U_2942 = U_2940
| r2_hidden(U_2942,U_2940)
| ~ r2_hidden(U_2942,k1_ordinal1(U_2940)) ),
inference(clausify,[status(thm)],[f_1041_4]) ).
cnf(f_1041_6,plain,
( r2_hidden(U_2943,k1_ordinal1(U_2941))
| sP387(U_2943,U_2941) ),
inference(clausify,[status(thm)],[f_1041_4]) ).
cnf(f_1041_7,plain,
( ~ r2_hidden(U_2943,U_2941)
| ~ sP387(U_2943,U_2941) ),
inference(clausify,[status(thm)],[f_1041_4]) ).
cnf(f_1041_8,plain,
( U_2943 != U_2941
| ~ sP387(U_2943,U_2941) ),
inference(clausify,[status(thm)],[f_1041_4]) ).
fof(f_1042_1,plain,
! [A] : A != k1_ordinal1(A),
inference(fof_nnf,[status(thm)],[t14_ordinal1]) ).
fof(f_1042_2,plain,
! [U_2944] : U_2944 != k1_ordinal1(U_2944),
inference(variable_rename,[status(thm)],[f_1042_1]) ).
fof(f_1042_3,plain,
! [U_2944] : U_2944 != k1_ordinal1(U_2944),
inference(definitional_conversion,[status(esa)],[f_1042_2]) ).
cnf(f_1042_4,plain,
U_2944 != k1_ordinal1(U_2944),
inference(clausify,[status(thm)],[f_1042_3]) ).
fof(f_1043_1,plain,
! [A] :
( ( v1_ordinal1(A)
| ? [B] :
( ~ r1_tarski(B,A)
& r2_hidden(B,A) ) )
& ( ! [B] :
( r1_tarski(B,A)
| ~ r2_hidden(B,A) )
| ~ v1_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[d2_ordinal1]) ).
fof(f_1043_2,plain,
! [U_2947] :
( ( v1_ordinal1(U_2947)
| ? [U_2946] :
( ~ r1_tarski(U_2946,U_2947)
& r2_hidden(U_2946,U_2947) ) )
& ( ! [U_2945] :
( r1_tarski(U_2945,U_2947)
| ~ r2_hidden(U_2945,U_2947) )
| ~ v1_ordinal1(U_2947) ) ),
inference(variable_rename,[status(thm)],[f_1043_1]) ).
fof(f_1043_3,plain,
( ! [U_2949] :
( v1_ordinal1(U_2949)
| ? [U_2946] :
( ~ r1_tarski(U_2946,U_2949)
& r2_hidden(U_2946,U_2949) ) )
& ! [U_2948] :
( ! [U_2945] :
( r1_tarski(U_2945,U_2948)
| ~ r2_hidden(U_2945,U_2948) )
| ~ v1_ordinal1(U_2948) ) ),
inference(miniscope,[status(thm)],[f_1043_2]) ).
fof(f_1043_4,plain,
( ! [U_2949] :
( v1_ordinal1(U_2949)
| ( ~ r1_tarski(sK260(U_2949),U_2949)
& r2_hidden(sK260(U_2949),U_2949) ) )
& ! [U_2948] :
( ! [U_2945] :
( r1_tarski(U_2945,U_2948)
| ~ r2_hidden(U_2945,U_2948) )
| ~ v1_ordinal1(U_2948) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK260]),skolemize(U_2946,sK260(U_2949))],[f_1043_3]) ).
fof(f_1043_5,plain,
( ! [U_2949] :
( ~ r1_tarski(sK260(U_2949),U_2949)
| ~ sP388(U_2949) )
& ! [U_2949] :
( r2_hidden(sK260(U_2949),U_2949)
| ~ sP388(U_2949) )
& ! [U_2949] :
( v1_ordinal1(U_2949)
| sP388(U_2949) )
& ! [U_2948,U_2945] :
( r1_tarski(U_2945,U_2948)
| ~ r2_hidden(U_2945,U_2948)
| ~ v1_ordinal1(U_2948) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP388])],[f_1043_4]) ).
cnf(f_1043_6,plain,
( r1_tarski(U_2945,U_2948)
| ~ r2_hidden(U_2945,U_2948)
| ~ v1_ordinal1(U_2948) ),
inference(clausify,[status(thm)],[f_1043_5]) ).
cnf(f_1043_7,plain,
( v1_ordinal1(U_2949)
| sP388(U_2949) ),
inference(clausify,[status(thm)],[f_1043_5]) ).
cnf(f_1043_8,plain,
( r2_hidden(sK260(U_2949),U_2949)
| ~ sP388(U_2949) ),
inference(clausify,[status(thm)],[f_1043_5]) ).
cnf(f_1043_9,plain,
( ~ r1_tarski(sK260(U_2949),U_2949)
| ~ sP388(U_2949) ),
inference(clausify,[status(thm)],[f_1043_5]) ).
fof(f_1044_1,plain,
! [A] :
( ( v2_ordinal1(A)
| ? [B,C] :
( ~ r2_hidden(C,B)
& B != C
& ~ r2_hidden(B,C)
& r2_hidden(C,A)
& r2_hidden(B,A) ) )
& ( ! [B,C] :
( r2_hidden(C,B)
| B = C
| r2_hidden(B,C)
| ~ r2_hidden(C,A)
| ~ r2_hidden(B,A) )
| ~ v2_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[d3_ordinal1]) ).
fof(f_1044_2,plain,
! [U_2954] :
( ( v2_ordinal1(U_2954)
| ? [U_2953,U_2952] :
( ~ r2_hidden(U_2952,U_2953)
& U_2953 != U_2952
& ~ r2_hidden(U_2953,U_2952)
& r2_hidden(U_2952,U_2954)
& r2_hidden(U_2953,U_2954) ) )
& ( ! [U_2951,U_2950] :
( r2_hidden(U_2950,U_2951)
| U_2951 = U_2950
| r2_hidden(U_2951,U_2950)
| ~ r2_hidden(U_2950,U_2954)
| ~ r2_hidden(U_2951,U_2954) )
| ~ v2_ordinal1(U_2954) ) ),
inference(variable_rename,[status(thm)],[f_1044_1]) ).
fof(f_1044_3,plain,
( ! [U_2956] :
( v2_ordinal1(U_2956)
| ? [U_2953] :
( ? [U_2952] :
( ~ r2_hidden(U_2952,U_2953)
& U_2953 != U_2952
& ~ r2_hidden(U_2953,U_2952)
& r2_hidden(U_2952,U_2956) )
& r2_hidden(U_2953,U_2956) ) )
& ! [U_2955] :
( ! [U_2951] :
( ! [U_2950] :
( r2_hidden(U_2950,U_2951)
| U_2951 = U_2950
| r2_hidden(U_2951,U_2950)
| ~ r2_hidden(U_2950,U_2955) )
| ~ r2_hidden(U_2951,U_2955) )
| ~ v2_ordinal1(U_2955) ) ),
inference(miniscope,[status(thm)],[f_1044_2]) ).
fof(f_1044_4,plain,
( ! [U_2956] :
( v2_ordinal1(U_2956)
| ( ? [U_2952] :
( ~ r2_hidden(U_2952,sK261(U_2956))
& sK261(U_2956) != U_2952
& ~ r2_hidden(sK261(U_2956),U_2952)
& r2_hidden(U_2952,U_2956) )
& r2_hidden(sK261(U_2956),U_2956) ) )
& ! [U_2955] :
( ! [U_2951] :
( ! [U_2950] :
( r2_hidden(U_2950,U_2951)
| U_2951 = U_2950
| r2_hidden(U_2951,U_2950)
| ~ r2_hidden(U_2950,U_2955) )
| ~ r2_hidden(U_2951,U_2955) )
| ~ v2_ordinal1(U_2955) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK261]),skolemize(U_2953,sK261(U_2956))],[f_1044_3]) ).
fof(f_1044_5,plain,
( ! [U_2956] :
( v2_ordinal1(U_2956)
| ( ~ r2_hidden(sK262(U_2956),sK261(U_2956))
& sK261(U_2956) != sK262(U_2956)
& ~ r2_hidden(sK261(U_2956),sK262(U_2956))
& r2_hidden(sK262(U_2956),U_2956)
& r2_hidden(sK261(U_2956),U_2956) ) )
& ! [U_2955] :
( ! [U_2951] :
( ! [U_2950] :
( r2_hidden(U_2950,U_2951)
| U_2951 = U_2950
| r2_hidden(U_2951,U_2950)
| ~ r2_hidden(U_2950,U_2955) )
| ~ r2_hidden(U_2951,U_2955) )
| ~ v2_ordinal1(U_2955) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK262]),skolemize(U_2952,sK262(U_2956))],[f_1044_4]) ).
fof(f_1044_6,plain,
( ! [U_2956] :
( ~ r2_hidden(sK262(U_2956),sK261(U_2956))
| ~ sP389(U_2956) )
& ! [U_2956] :
( sK261(U_2956) != sK262(U_2956)
| ~ sP389(U_2956) )
& ! [U_2956] :
( ~ r2_hidden(sK261(U_2956),sK262(U_2956))
| ~ sP389(U_2956) )
& ! [U_2956] :
( r2_hidden(sK262(U_2956),U_2956)
| ~ sP389(U_2956) )
& ! [U_2956] :
( r2_hidden(sK261(U_2956),U_2956)
| ~ sP389(U_2956) )
& ! [U_2956] :
( v2_ordinal1(U_2956)
| sP389(U_2956) )
& ! [U_2955,U_2951,U_2950] :
( r2_hidden(U_2950,U_2951)
| U_2951 = U_2950
| r2_hidden(U_2951,U_2950)
| ~ r2_hidden(U_2950,U_2955)
| ~ r2_hidden(U_2951,U_2955)
| ~ v2_ordinal1(U_2955) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP389])],[f_1044_5]) ).
cnf(f_1044_7,plain,
( r2_hidden(U_2950,U_2951)
| U_2951 = U_2950
| r2_hidden(U_2951,U_2950)
| ~ r2_hidden(U_2950,U_2955)
| ~ r2_hidden(U_2951,U_2955)
| ~ v2_ordinal1(U_2955) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
cnf(f_1044_8,plain,
( v2_ordinal1(U_2956)
| sP389(U_2956) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
cnf(f_1044_9,plain,
( r2_hidden(sK261(U_2956),U_2956)
| ~ sP389(U_2956) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
cnf(f_1044_10,plain,
( r2_hidden(sK262(U_2956),U_2956)
| ~ sP389(U_2956) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
cnf(f_1044_11,plain,
( ~ r2_hidden(sK261(U_2956),sK262(U_2956))
| ~ sP389(U_2956) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
cnf(f_1044_12,plain,
( sK261(U_2956) != sK262(U_2956)
| ~ sP389(U_2956) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
cnf(f_1044_13,plain,
( ~ r2_hidden(sK262(U_2956),sK261(U_2956))
| ~ sP389(U_2956) ),
inference(clausify,[status(thm)],[f_1044_6]) ).
fof(f_1045_1,plain,
! [A] :
( ( v3_ordinal1(A)
| ~ v2_ordinal1(A)
| ~ v1_ordinal1(A) )
& ( ( v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[d4_ordinal1]) ).
fof(f_1045_2,plain,
! [U_2957] :
( ( v3_ordinal1(U_2957)
| ~ v2_ordinal1(U_2957)
| ~ v1_ordinal1(U_2957) )
& ( ( v2_ordinal1(U_2957)
& v1_ordinal1(U_2957) )
| ~ v3_ordinal1(U_2957) ) ),
inference(variable_rename,[status(thm)],[f_1045_1]) ).
fof(f_1045_3,plain,
( ! [U_2959] :
( v3_ordinal1(U_2959)
| ~ v2_ordinal1(U_2959)
| ~ v1_ordinal1(U_2959) )
& ! [U_2958] :
( ( v2_ordinal1(U_2958)
& v1_ordinal1(U_2958) )
| ~ v3_ordinal1(U_2958) ) ),
inference(miniscope,[status(thm)],[f_1045_2]) ).
fof(f_1045_4,plain,
( ! [U_2958] :
( v2_ordinal1(U_2958)
| ~ sP390(U_2958) )
& ! [U_2958] :
( v1_ordinal1(U_2958)
| ~ sP390(U_2958) )
& ! [U_2959] :
( v3_ordinal1(U_2959)
| ~ v2_ordinal1(U_2959)
| ~ v1_ordinal1(U_2959) )
& ! [U_2958] :
( sP390(U_2958)
| ~ v3_ordinal1(U_2958) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP390])],[f_1045_3]) ).
cnf(f_1045_5,plain,
( sP390(U_2958)
| ~ v3_ordinal1(U_2958) ),
inference(clausify,[status(thm)],[f_1045_4]) ).
cnf(f_1045_6,plain,
( v3_ordinal1(U_2959)
| ~ v2_ordinal1(U_2959)
| ~ v1_ordinal1(U_2959) ),
inference(clausify,[status(thm)],[f_1045_4]) ).
cnf(f_1045_7,plain,
( v1_ordinal1(U_2958)
| ~ sP390(U_2958) ),
inference(clausify,[status(thm)],[f_1045_4]) ).
cnf(f_1045_8,plain,
( v2_ordinal1(U_2958)
| ~ sP390(U_2958) ),
inference(clausify,[status(thm)],[f_1045_4]) ).
fof(f_1046_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_ordinal1]) ).
fof(f_1046_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1046_1]) ).
cnf(f_1046_3,plain,
$true,
inference(clausify,[status(thm)],[f_1046_2]) ).
fof(f_1047_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_ordinal1]) ).
fof(f_1047_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1047_1]) ).
cnf(f_1047_3,plain,
$true,
inference(clausify,[status(thm)],[f_1047_2]) ).
fof(f_1048_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_ordinal1]) ).
fof(f_1048_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1048_1]) ).
cnf(f_1048_3,plain,
$true,
inference(clausify,[status(thm)],[f_1048_2]) ).
fof(f_1049_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_ordinal1]) ).
fof(f_1049_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1049_1]) ).
cnf(f_1049_3,plain,
$true,
inference(clausify,[status(thm)],[f_1049_2]) ).
fof(f_1050_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(A,B)
| ~ r2_hidden(C,A)
| ~ v1_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t19_ordinal1]) ).
fof(f_1050_2,plain,
! [U_2962] :
( ! [U_2961] :
( ! [U_2960] :
( r2_hidden(U_2960,U_2961)
| ~ r2_hidden(U_2962,U_2961)
| ~ r2_hidden(U_2960,U_2962)
| ~ v1_ordinal1(U_2960) )
| ~ v3_ordinal1(U_2961) )
| ~ v3_ordinal1(U_2962) ),
inference(variable_rename,[status(thm)],[f_1050_1]) ).
fof(f_1050_3,plain,
! [U_2960,U_2962,U_2961] :
( r2_hidden(U_2960,U_2961)
| ~ r2_hidden(U_2962,U_2961)
| ~ r2_hidden(U_2960,U_2962)
| ~ v1_ordinal1(U_2960)
| ~ v3_ordinal1(U_2961)
| ~ v3_ordinal1(U_2962) ),
inference(definitional_conversion,[status(esa)],[f_1050_2]) ).
cnf(f_1050_4,plain,
( r2_hidden(U_2960,U_2961)
| ~ r2_hidden(U_2962,U_2961)
| ~ r2_hidden(U_2960,U_2962)
| ~ v1_ordinal1(U_2960)
| ~ v3_ordinal1(U_2961)
| ~ v3_ordinal1(U_2962) ),
inference(clausify,[status(thm)],[f_1050_3]) ).
fof(f_1051_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_ordinal1]) ).
fof(f_1051_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1051_1]) ).
cnf(f_1051_3,plain,
$true,
inference(clausify,[status(thm)],[f_1051_2]) ).
fof(f_1052_1,plain,
! [A] :
( ! [B] :
( r2_hidden(A,B)
| ~ r2_xboole_0(A,B)
| ~ v3_ordinal1(B) )
| ~ v1_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t21_ordinal1]) ).
fof(f_1052_2,plain,
! [U_2964] :
( ! [U_2963] :
( r2_hidden(U_2964,U_2963)
| ~ r2_xboole_0(U_2964,U_2963)
| ~ v3_ordinal1(U_2963) )
| ~ v1_ordinal1(U_2964) ),
inference(variable_rename,[status(thm)],[f_1052_1]) ).
fof(f_1052_3,plain,
! [U_2963,U_2964] :
( r2_hidden(U_2964,U_2963)
| ~ r2_xboole_0(U_2964,U_2963)
| ~ v3_ordinal1(U_2963)
| ~ v1_ordinal1(U_2964) ),
inference(definitional_conversion,[status(esa)],[f_1052_2]) ).
cnf(f_1052_4,plain,
( r2_hidden(U_2964,U_2963)
| ~ r2_xboole_0(U_2964,U_2963)
| ~ v3_ordinal1(U_2963)
| ~ v1_ordinal1(U_2964) ),
inference(clausify,[status(thm)],[f_1052_3]) ).
fof(f_1053_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(A,C)
| ~ r2_hidden(B,C)
| ~ r1_tarski(A,B)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v1_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t22_ordinal1]) ).
fof(f_1053_2,plain,
! [U_2967] :
( ! [U_2966] :
( ! [U_2965] :
( r2_hidden(U_2967,U_2965)
| ~ r2_hidden(U_2966,U_2965)
| ~ r1_tarski(U_2967,U_2966)
| ~ v3_ordinal1(U_2965) )
| ~ v3_ordinal1(U_2966) )
| ~ v1_ordinal1(U_2967) ),
inference(variable_rename,[status(thm)],[f_1053_1]) ).
fof(f_1053_3,plain,
! [U_2967,U_2966,U_2965] :
( r2_hidden(U_2967,U_2965)
| ~ r2_hidden(U_2966,U_2965)
| ~ r1_tarski(U_2967,U_2966)
| ~ v3_ordinal1(U_2965)
| ~ v3_ordinal1(U_2966)
| ~ v1_ordinal1(U_2967) ),
inference(definitional_conversion,[status(esa)],[f_1053_2]) ).
cnf(f_1053_4,plain,
( r2_hidden(U_2967,U_2965)
| ~ r2_hidden(U_2966,U_2965)
| ~ r1_tarski(U_2967,U_2966)
| ~ v3_ordinal1(U_2965)
| ~ v3_ordinal1(U_2966)
| ~ v1_ordinal1(U_2967) ),
inference(clausify,[status(thm)],[f_1053_3]) ).
fof(f_1054_1,plain,
! [A,B] :
( v3_ordinal1(A)
| ~ r2_hidden(A,B)
| ~ v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[t23_ordinal1]) ).
fof(f_1054_2,plain,
! [U_2969,U_2968] :
( v3_ordinal1(U_2969)
| ~ r2_hidden(U_2969,U_2968)
| ~ v3_ordinal1(U_2968) ),
inference(variable_rename,[status(thm)],[f_1054_1]) ).
fof(f_1054_3,plain,
! [U_2968,U_2969] :
( v3_ordinal1(U_2969)
| ~ r2_hidden(U_2969,U_2968)
| ~ v3_ordinal1(U_2968) ),
inference(definitional_conversion,[status(esa)],[f_1054_2]) ).
cnf(f_1054_4,plain,
( v3_ordinal1(U_2969)
| ~ r2_hidden(U_2969,U_2968)
| ~ v3_ordinal1(U_2968) ),
inference(clausify,[status(thm)],[f_1054_3]) ).
fof(f_1055_1,plain,
! [A] :
( ! [B] :
( r2_hidden(B,A)
| A = B
| r2_hidden(A,B)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t24_ordinal1]) ).
fof(f_1055_2,plain,
! [U_2971] :
( ! [U_2970] :
( r2_hidden(U_2970,U_2971)
| U_2971 = U_2970
| r2_hidden(U_2971,U_2970)
| ~ v3_ordinal1(U_2970) )
| ~ v3_ordinal1(U_2971) ),
inference(variable_rename,[status(thm)],[f_1055_1]) ).
fof(f_1055_3,plain,
! [U_2971,U_2970] :
( r2_hidden(U_2970,U_2971)
| U_2971 = U_2970
| r2_hidden(U_2971,U_2970)
| ~ v3_ordinal1(U_2970)
| ~ v3_ordinal1(U_2971) ),
inference(definitional_conversion,[status(esa)],[f_1055_2]) ).
cnf(f_1055_4,plain,
( r2_hidden(U_2970,U_2971)
| U_2971 = U_2970
| r2_hidden(U_2971,U_2970)
| ~ v3_ordinal1(U_2970)
| ~ v3_ordinal1(U_2971) ),
inference(clausify,[status(thm)],[f_1055_3]) ).
fof(f_1056_1,plain,
! [A] :
( ! [B] :
( r3_xboole_0(A,B)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t25_ordinal1]) ).
fof(f_1056_2,plain,
! [U_2973] :
( ! [U_2972] :
( r3_xboole_0(U_2973,U_2972)
| ~ v3_ordinal1(U_2972) )
| ~ v3_ordinal1(U_2973) ),
inference(variable_rename,[status(thm)],[f_1056_1]) ).
fof(f_1056_3,plain,
! [U_2973,U_2972] :
( r3_xboole_0(U_2973,U_2972)
| ~ v3_ordinal1(U_2972)
| ~ v3_ordinal1(U_2973) ),
inference(definitional_conversion,[status(esa)],[f_1056_2]) ).
cnf(f_1056_4,plain,
( r3_xboole_0(U_2973,U_2972)
| ~ v3_ordinal1(U_2972)
| ~ v3_ordinal1(U_2973) ),
inference(clausify,[status(thm)],[f_1056_3]) ).
fof(f_1057_1,plain,
! [A] :
( ! [B] :
( r2_hidden(B,A)
| r1_ordinal1(A,B)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t26_ordinal1]) ).
fof(f_1057_2,plain,
! [U_2975] :
( ! [U_2974] :
( r2_hidden(U_2974,U_2975)
| r1_ordinal1(U_2975,U_2974)
| ~ v3_ordinal1(U_2974) )
| ~ v3_ordinal1(U_2975) ),
inference(variable_rename,[status(thm)],[f_1057_1]) ).
fof(f_1057_3,plain,
! [U_2975,U_2974] :
( r2_hidden(U_2974,U_2975)
| r1_ordinal1(U_2975,U_2974)
| ~ v3_ordinal1(U_2974)
| ~ v3_ordinal1(U_2975) ),
inference(definitional_conversion,[status(esa)],[f_1057_2]) ).
cnf(f_1057_4,plain,
( r2_hidden(U_2974,U_2975)
| r1_ordinal1(U_2975,U_2974)
| ~ v3_ordinal1(U_2974)
| ~ v3_ordinal1(U_2975) ),
inference(clausify,[status(thm)],[f_1057_3]) ).
fof(f_1058_1,plain,
v3_ordinal1(k1_xboole_0),
inference(fof_nnf,[status(thm)],[t27_ordinal1]) ).
fof(f_1058_2,plain,
v3_ordinal1(k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_1058_1]) ).
cnf(f_1058_3,plain,
v3_ordinal1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1058_2]) ).
fof(f_1059_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_ordinal1]) ).
fof(f_1059_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1059_1]) ).
cnf(f_1059_3,plain,
$true,
inference(clausify,[status(thm)],[f_1059_2]) ).
fof(f_1060_1,plain,
! [A] :
( v3_ordinal1(k1_ordinal1(A))
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t29_ordinal1]) ).
fof(f_1060_2,plain,
! [U_2976] :
( v3_ordinal1(k1_ordinal1(U_2976))
| ~ v3_ordinal1(U_2976) ),
inference(variable_rename,[status(thm)],[f_1060_1]) ).
fof(f_1060_3,plain,
! [U_2976] :
( v3_ordinal1(k1_ordinal1(U_2976))
| ~ v3_ordinal1(U_2976) ),
inference(definitional_conversion,[status(esa)],[f_1060_2]) ).
cnf(f_1060_4,plain,
( v3_ordinal1(k1_ordinal1(U_2976))
| ~ v3_ordinal1(U_2976) ),
inference(clausify,[status(thm)],[f_1060_3]) ).
fof(f_1061_1,plain,
! [A] :
( v3_ordinal1(k3_tarski(A))
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t30_ordinal1]) ).
fof(f_1061_2,plain,
! [U_2977] :
( v3_ordinal1(k3_tarski(U_2977))
| ~ v3_ordinal1(U_2977) ),
inference(variable_rename,[status(thm)],[f_1061_1]) ).
fof(f_1061_3,plain,
! [U_2977] :
( v3_ordinal1(k3_tarski(U_2977))
| ~ v3_ordinal1(U_2977) ),
inference(definitional_conversion,[status(esa)],[f_1061_2]) ).
cnf(f_1061_4,plain,
( v3_ordinal1(k3_tarski(U_2977))
| ~ v3_ordinal1(U_2977) ),
inference(clausify,[status(thm)],[f_1061_3]) ).
fof(f_1062_1,plain,
! [A] :
( v3_ordinal1(A)
| ? [B] :
( ( ~ r1_tarski(B,A)
| ~ v3_ordinal1(B) )
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t31_ordinal1]) ).
fof(f_1062_2,plain,
! [U_2979] :
( v3_ordinal1(U_2979)
| ? [U_2978] :
( ( ~ r1_tarski(U_2978,U_2979)
| ~ v3_ordinal1(U_2978) )
& r2_hidden(U_2978,U_2979) ) ),
inference(variable_rename,[status(thm)],[f_1062_1]) ).
fof(f_1062_3,plain,
! [U_2979] :
( v3_ordinal1(U_2979)
| ( ( ~ r1_tarski(sK263(U_2979),U_2979)
| ~ v3_ordinal1(sK263(U_2979)) )
& r2_hidden(sK263(U_2979),U_2979) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK263]),skolemize(U_2978,sK263(U_2979))],[f_1062_2]) ).
fof(f_1062_4,plain,
( ! [U_2979] :
( ~ r1_tarski(sK263(U_2979),U_2979)
| ~ v3_ordinal1(sK263(U_2979))
| ~ sP391(U_2979) )
& ! [U_2979] :
( r2_hidden(sK263(U_2979),U_2979)
| ~ sP391(U_2979) )
& ! [U_2979] :
( v3_ordinal1(U_2979)
| sP391(U_2979) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP391])],[f_1062_3]) ).
cnf(f_1062_5,plain,
( v3_ordinal1(U_2979)
| sP391(U_2979) ),
inference(clausify,[status(thm)],[f_1062_4]) ).
cnf(f_1062_6,plain,
( r2_hidden(sK263(U_2979),U_2979)
| ~ sP391(U_2979) ),
inference(clausify,[status(thm)],[f_1062_4]) ).
cnf(f_1062_7,plain,
( ~ r1_tarski(sK263(U_2979),U_2979)
| ~ v3_ordinal1(sK263(U_2979))
| ~ sP391(U_2979) ),
inference(clausify,[status(thm)],[f_1062_4]) ).
fof(f_1063_1,plain,
! [A,B] :
( ? [C] :
( ! [D] :
( r1_ordinal1(C,D)
| ~ r2_hidden(D,A)
| ~ v3_ordinal1(D) )
& r2_hidden(C,A)
& v3_ordinal1(C) )
| A = k1_xboole_0
| ~ r1_tarski(A,B)
| ~ v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[t32_ordinal1]) ).
fof(f_1063_2,plain,
! [U_2983,U_2982] :
( ? [U_2981] :
( ! [U_2980] :
( r1_ordinal1(U_2981,U_2980)
| ~ r2_hidden(U_2980,U_2983)
| ~ v3_ordinal1(U_2980) )
& r2_hidden(U_2981,U_2983)
& v3_ordinal1(U_2981) )
| U_2983 = k1_xboole_0
| ~ r1_tarski(U_2983,U_2982)
| ~ v3_ordinal1(U_2982) ),
inference(variable_rename,[status(thm)],[f_1063_1]) ).
fof(f_1063_3,plain,
! [U_2983,U_2982] :
( ( ! [U_2980] :
( r1_ordinal1(sK264(U_2983,U_2982),U_2980)
| ~ r2_hidden(U_2980,U_2983)
| ~ v3_ordinal1(U_2980) )
& r2_hidden(sK264(U_2983,U_2982),U_2983)
& v3_ordinal1(sK264(U_2983,U_2982)) )
| U_2983 = k1_xboole_0
| ~ r1_tarski(U_2983,U_2982)
| ~ v3_ordinal1(U_2982) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK264]),skolemize(U_2981,sK264(U_2983,U_2982))],[f_1063_2]) ).
fof(f_1063_4,plain,
( ! [U_2980,U_2983,U_2982] :
( r1_ordinal1(sK264(U_2983,U_2982),U_2980)
| ~ r2_hidden(U_2980,U_2983)
| ~ v3_ordinal1(U_2980)
| ~ sP392(U_2980,U_2983,U_2982) )
& ! [U_2980,U_2983,U_2982] :
( r2_hidden(sK264(U_2983,U_2982),U_2983)
| ~ sP392(U_2980,U_2983,U_2982) )
& ! [U_2980,U_2983,U_2982] :
( v3_ordinal1(sK264(U_2983,U_2982))
| ~ sP392(U_2980,U_2983,U_2982) )
& ! [U_2980,U_2983,U_2982] :
( sP392(U_2980,U_2983,U_2982)
| U_2983 = k1_xboole_0
| ~ r1_tarski(U_2983,U_2982)
| ~ v3_ordinal1(U_2982) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP392])],[f_1063_3]) ).
cnf(f_1063_5,plain,
( sP392(U_2980,U_2983,U_2982)
| U_2983 = k1_xboole_0
| ~ r1_tarski(U_2983,U_2982)
| ~ v3_ordinal1(U_2982) ),
inference(clausify,[status(thm)],[f_1063_4]) ).
cnf(f_1063_6,plain,
( v3_ordinal1(sK264(U_2983,U_2982))
| ~ sP392(U_2980,U_2983,U_2982) ),
inference(clausify,[status(thm)],[f_1063_4]) ).
cnf(f_1063_7,plain,
( r2_hidden(sK264(U_2983,U_2982),U_2983)
| ~ sP392(U_2980,U_2983,U_2982) ),
inference(clausify,[status(thm)],[f_1063_4]) ).
cnf(f_1063_8,plain,
( r1_ordinal1(sK264(U_2983,U_2982),U_2980)
| ~ r2_hidden(U_2980,U_2983)
| ~ v3_ordinal1(U_2980)
| ~ sP392(U_2980,U_2983,U_2982) ),
inference(clausify,[status(thm)],[f_1063_4]) ).
fof(f_1064_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(A,B)
| ~ r1_ordinal1(k1_ordinal1(A),B) )
& ( r1_ordinal1(k1_ordinal1(A),B)
| ~ r2_hidden(A,B) ) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t33_ordinal1]) ).
fof(f_1064_2,plain,
! [U_2985] :
( ! [U_2984] :
( ( ( r2_hidden(U_2985,U_2984)
| ~ r1_ordinal1(k1_ordinal1(U_2985),U_2984) )
& ( r1_ordinal1(k1_ordinal1(U_2985),U_2984)
| ~ r2_hidden(U_2985,U_2984) ) )
| ~ v3_ordinal1(U_2984) )
| ~ v3_ordinal1(U_2985) ),
inference(variable_rename,[status(thm)],[f_1064_1]) ).
fof(f_1064_3,plain,
( ! [U_2984,U_2985] :
( r2_hidden(U_2985,U_2984)
| ~ r1_ordinal1(k1_ordinal1(U_2985),U_2984)
| ~ sP393(U_2984,U_2985) )
& ! [U_2984,U_2985] :
( r1_ordinal1(k1_ordinal1(U_2985),U_2984)
| ~ r2_hidden(U_2985,U_2984)
| ~ sP393(U_2984,U_2985) )
& ! [U_2984,U_2985] :
( sP393(U_2984,U_2985)
| ~ v3_ordinal1(U_2984)
| ~ v3_ordinal1(U_2985) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP393])],[f_1064_2]) ).
cnf(f_1064_4,plain,
( sP393(U_2984,U_2985)
| ~ v3_ordinal1(U_2984)
| ~ v3_ordinal1(U_2985) ),
inference(clausify,[status(thm)],[f_1064_3]) ).
cnf(f_1064_5,plain,
( r1_ordinal1(k1_ordinal1(U_2985),U_2984)
| ~ r2_hidden(U_2985,U_2984)
| ~ sP393(U_2984,U_2985) ),
inference(clausify,[status(thm)],[f_1064_3]) ).
cnf(f_1064_6,plain,
( r2_hidden(U_2985,U_2984)
| ~ r1_ordinal1(k1_ordinal1(U_2985),U_2984)
| ~ sP393(U_2984,U_2985) ),
inference(clausify,[status(thm)],[f_1064_3]) ).
fof(f_1065_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(A,k1_ordinal1(B))
| ~ r1_ordinal1(A,B) )
& ( r1_ordinal1(A,B)
| ~ r2_hidden(A,k1_ordinal1(B)) ) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t34_ordinal1]) ).
fof(f_1065_2,plain,
! [U_2987] :
( ! [U_2986] :
( ( ( r2_hidden(U_2987,k1_ordinal1(U_2986))
| ~ r1_ordinal1(U_2987,U_2986) )
& ( r1_ordinal1(U_2987,U_2986)
| ~ r2_hidden(U_2987,k1_ordinal1(U_2986)) ) )
| ~ v3_ordinal1(U_2986) )
| ~ v3_ordinal1(U_2987) ),
inference(variable_rename,[status(thm)],[f_1065_1]) ).
fof(f_1065_3,plain,
( ! [U_2986,U_2987] :
( r2_hidden(U_2987,k1_ordinal1(U_2986))
| ~ r1_ordinal1(U_2987,U_2986)
| ~ sP394(U_2986,U_2987) )
& ! [U_2986,U_2987] :
( r1_ordinal1(U_2987,U_2986)
| ~ r2_hidden(U_2987,k1_ordinal1(U_2986))
| ~ sP394(U_2986,U_2987) )
& ! [U_2986,U_2987] :
( sP394(U_2986,U_2987)
| ~ v3_ordinal1(U_2986)
| ~ v3_ordinal1(U_2987) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP394])],[f_1065_2]) ).
cnf(f_1065_4,plain,
( sP394(U_2986,U_2987)
| ~ v3_ordinal1(U_2986)
| ~ v3_ordinal1(U_2987) ),
inference(clausify,[status(thm)],[f_1065_3]) ).
cnf(f_1065_5,plain,
( r1_ordinal1(U_2987,U_2986)
| ~ r2_hidden(U_2987,k1_ordinal1(U_2986))
| ~ sP394(U_2986,U_2987) ),
inference(clausify,[status(thm)],[f_1065_3]) ).
cnf(f_1065_6,plain,
( r2_hidden(U_2987,k1_ordinal1(U_2986))
| ~ r1_ordinal1(U_2987,U_2986)
| ~ sP394(U_2986,U_2987) ),
inference(clausify,[status(thm)],[f_1065_3]) ).
fof(f_1066_1,plain,
! [A] :
( v3_ordinal1(k3_tarski(A))
| ? [B] :
( ~ v3_ordinal1(B)
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t35_ordinal1]) ).
fof(f_1066_2,plain,
! [U_2989] :
( v3_ordinal1(k3_tarski(U_2989))
| ? [U_2988] :
( ~ v3_ordinal1(U_2988)
& r2_hidden(U_2988,U_2989) ) ),
inference(variable_rename,[status(thm)],[f_1066_1]) ).
fof(f_1066_3,plain,
! [U_2989] :
( v3_ordinal1(k3_tarski(U_2989))
| ( ~ v3_ordinal1(sK265(U_2989))
& r2_hidden(sK265(U_2989),U_2989) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK265]),skolemize(U_2988,sK265(U_2989))],[f_1066_2]) ).
fof(f_1066_4,plain,
( ! [U_2989] :
( ~ v3_ordinal1(sK265(U_2989))
| ~ sP395(U_2989) )
& ! [U_2989] :
( r2_hidden(sK265(U_2989),U_2989)
| ~ sP395(U_2989) )
& ! [U_2989] :
( v3_ordinal1(k3_tarski(U_2989))
| sP395(U_2989) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP395])],[f_1066_3]) ).
cnf(f_1066_5,plain,
( v3_ordinal1(k3_tarski(U_2989))
| sP395(U_2989) ),
inference(clausify,[status(thm)],[f_1066_4]) ).
cnf(f_1066_6,plain,
( r2_hidden(sK265(U_2989),U_2989)
| ~ sP395(U_2989) ),
inference(clausify,[status(thm)],[f_1066_4]) ).
cnf(f_1066_7,plain,
( ~ v3_ordinal1(sK265(U_2989))
| ~ sP395(U_2989) ),
inference(clausify,[status(thm)],[f_1066_4]) ).
fof(f_1067_1,plain,
! [A] :
( ? [B] :
( r1_tarski(A,B)
& v3_ordinal1(B) )
| ? [B] :
( ~ v3_ordinal1(B)
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t36_ordinal1]) ).
fof(f_1067_2,plain,
! [U_2992] :
( ? [U_2991] :
( r1_tarski(U_2992,U_2991)
& v3_ordinal1(U_2991) )
| ? [U_2990] :
( ~ v3_ordinal1(U_2990)
& r2_hidden(U_2990,U_2992) ) ),
inference(variable_rename,[status(thm)],[f_1067_1]) ).
fof(f_1067_3,plain,
! [U_2992] :
( ? [U_2991] :
( r1_tarski(U_2992,U_2991)
& v3_ordinal1(U_2991) )
| ( ~ v3_ordinal1(sK266(U_2992))
& r2_hidden(sK266(U_2992),U_2992) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK266]),skolemize(U_2990,sK266(U_2992))],[f_1067_2]) ).
fof(f_1067_4,plain,
! [U_2992] :
( ( r1_tarski(U_2992,sK267(U_2992))
& v3_ordinal1(sK267(U_2992)) )
| ( ~ v3_ordinal1(sK266(U_2992))
& r2_hidden(sK266(U_2992),U_2992) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK267]),skolemize(U_2991,sK267(U_2992))],[f_1067_3]) ).
fof(f_1067_5,plain,
( ! [U_2992] :
( r1_tarski(U_2992,sK267(U_2992))
| ~ sP397(U_2992) )
& ! [U_2992] :
( v3_ordinal1(sK267(U_2992))
| ~ sP397(U_2992) )
& ! [U_2992] :
( ~ v3_ordinal1(sK266(U_2992))
| ~ sP396(U_2992) )
& ! [U_2992] :
( r2_hidden(sK266(U_2992),U_2992)
| ~ sP396(U_2992) )
& ! [U_2992] :
( sP397(U_2992)
| sP396(U_2992) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP396,sP397])],[f_1067_4]) ).
cnf(f_1067_6,plain,
( sP397(U_2992)
| sP396(U_2992) ),
inference(clausify,[status(thm)],[f_1067_5]) ).
cnf(f_1067_7,plain,
( r2_hidden(sK266(U_2992),U_2992)
| ~ sP396(U_2992) ),
inference(clausify,[status(thm)],[f_1067_5]) ).
cnf(f_1067_8,plain,
( ~ v3_ordinal1(sK266(U_2992))
| ~ sP396(U_2992) ),
inference(clausify,[status(thm)],[f_1067_5]) ).
cnf(f_1067_9,plain,
( v3_ordinal1(sK267(U_2992))
| ~ sP397(U_2992) ),
inference(clausify,[status(thm)],[f_1067_5]) ).
cnf(f_1067_10,plain,
( r1_tarski(U_2992,sK267(U_2992))
| ~ sP397(U_2992) ),
inference(clausify,[status(thm)],[f_1067_5]) ).
fof(f_1068_1,plain,
! [A] :
? [B] :
( ( ~ r2_hidden(B,A)
& v3_ordinal1(B) )
| ( ~ v3_ordinal1(B)
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t37_ordinal1]) ).
fof(f_1068_2,plain,
! [U_2994] :
? [U_2993] :
( ( ~ r2_hidden(U_2993,U_2994)
& v3_ordinal1(U_2993) )
| ( ~ v3_ordinal1(U_2993)
& r2_hidden(U_2993,U_2994) ) ),
inference(variable_rename,[status(thm)],[f_1068_1]) ).
fof(f_1068_3,plain,
! [U_2994] :
( ? [U_2996] :
( ~ r2_hidden(U_2996,U_2994)
& v3_ordinal1(U_2996) )
| ? [U_2995] :
( ~ v3_ordinal1(U_2995)
& r2_hidden(U_2995,U_2994) ) ),
inference(miniscope,[status(thm)],[f_1068_2]) ).
fof(f_1068_4,plain,
! [U_2994] :
( ? [U_2996] :
( ~ r2_hidden(U_2996,U_2994)
& v3_ordinal1(U_2996) )
| ( ~ v3_ordinal1(sK268(U_2994))
& r2_hidden(sK268(U_2994),U_2994) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK268]),skolemize(U_2995,sK268(U_2994))],[f_1068_3]) ).
fof(f_1068_5,plain,
! [U_2994] :
( ( ~ r2_hidden(sK269(U_2994),U_2994)
& v3_ordinal1(sK269(U_2994)) )
| ( ~ v3_ordinal1(sK268(U_2994))
& r2_hidden(sK268(U_2994),U_2994) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK269]),skolemize(U_2996,sK269(U_2994))],[f_1068_4]) ).
fof(f_1068_6,plain,
( ! [U_2994] :
( ~ r2_hidden(sK269(U_2994),U_2994)
| ~ sP399(U_2994) )
& ! [U_2994] :
( v3_ordinal1(sK269(U_2994))
| ~ sP399(U_2994) )
& ! [U_2994] :
( ~ v3_ordinal1(sK268(U_2994))
| ~ sP398(U_2994) )
& ! [U_2994] :
( r2_hidden(sK268(U_2994),U_2994)
| ~ sP398(U_2994) )
& ! [U_2994] :
( sP399(U_2994)
| sP398(U_2994) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP398,sP399])],[f_1068_5]) ).
cnf(f_1068_7,plain,
( sP399(U_2994)
| sP398(U_2994) ),
inference(clausify,[status(thm)],[f_1068_6]) ).
cnf(f_1068_8,plain,
( r2_hidden(sK268(U_2994),U_2994)
| ~ sP398(U_2994) ),
inference(clausify,[status(thm)],[f_1068_6]) ).
cnf(f_1068_9,plain,
( ~ v3_ordinal1(sK268(U_2994))
| ~ sP398(U_2994) ),
inference(clausify,[status(thm)],[f_1068_6]) ).
cnf(f_1068_10,plain,
( v3_ordinal1(sK269(U_2994))
| ~ sP399(U_2994) ),
inference(clausify,[status(thm)],[f_1068_6]) ).
cnf(f_1068_11,plain,
( ~ r2_hidden(sK269(U_2994),U_2994)
| ~ sP399(U_2994) ),
inference(clausify,[status(thm)],[f_1068_6]) ).
fof(f_1069_1,plain,
! [A] :
? [B] :
( ~ r2_hidden(B,A)
& v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[t38_ordinal1]) ).
fof(f_1069_2,plain,
! [U_2998] :
? [U_2997] :
( ~ r2_hidden(U_2997,U_2998)
& v3_ordinal1(U_2997) ),
inference(variable_rename,[status(thm)],[f_1069_1]) ).
fof(f_1069_3,plain,
! [U_2998] :
( ~ r2_hidden(sK270(U_2998),U_2998)
& v3_ordinal1(sK270(U_2998)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK270]),skolemize(U_2997,sK270(U_2998))],[f_1069_2]) ).
fof(f_1069_4,plain,
( ! [U_2998] : ~ r2_hidden(sK270(U_2998),U_2998)
& ! [U_2998] : v3_ordinal1(sK270(U_2998)) ),
inference(definitional_conversion,[status(esa)],[f_1069_3]) ).
cnf(f_1069_5,plain,
v3_ordinal1(sK270(U_2998)),
inference(clausify,[status(thm)],[f_1069_4]) ).
cnf(f_1069_6,plain,
~ r2_hidden(sK270(U_2998),U_2998),
inference(clausify,[status(thm)],[f_1069_4]) ).
fof(f_1070_1,plain,
! [A] :
? [B] :
( ! [C] :
( r1_ordinal1(B,C)
| r2_hidden(C,A)
| ~ v3_ordinal1(C) )
& ~ r2_hidden(B,A)
& v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[t39_ordinal1]) ).
fof(f_1070_2,plain,
! [U_3001] :
? [U_3000] :
( ! [U_2999] :
( r1_ordinal1(U_3000,U_2999)
| r2_hidden(U_2999,U_3001)
| ~ v3_ordinal1(U_2999) )
& ~ r2_hidden(U_3000,U_3001)
& v3_ordinal1(U_3000) ),
inference(variable_rename,[status(thm)],[f_1070_1]) ).
fof(f_1070_3,plain,
! [U_3001] :
( ! [U_2999] :
( r1_ordinal1(sK271(U_3001),U_2999)
| r2_hidden(U_2999,U_3001)
| ~ v3_ordinal1(U_2999) )
& ~ r2_hidden(sK271(U_3001),U_3001)
& v3_ordinal1(sK271(U_3001)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK271]),skolemize(U_3000,sK271(U_3001))],[f_1070_2]) ).
fof(f_1070_4,plain,
( ! [U_2999,U_3001] :
( r1_ordinal1(sK271(U_3001),U_2999)
| r2_hidden(U_2999,U_3001)
| ~ v3_ordinal1(U_2999) )
& ! [U_3001] : ~ r2_hidden(sK271(U_3001),U_3001)
& ! [U_3001] : v3_ordinal1(sK271(U_3001)) ),
inference(definitional_conversion,[status(esa)],[f_1070_3]) ).
cnf(f_1070_5,plain,
v3_ordinal1(sK271(U_3001)),
inference(clausify,[status(thm)],[f_1070_4]) ).
cnf(f_1070_6,plain,
~ r2_hidden(sK271(U_3001),U_3001),
inference(clausify,[status(thm)],[f_1070_4]) ).
cnf(f_1070_7,plain,
( r1_ordinal1(sK271(U_3001),U_2999)
| r2_hidden(U_2999,U_3001)
| ~ v3_ordinal1(U_2999) ),
inference(clausify,[status(thm)],[f_1070_4]) ).
fof(f_1071_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d5_ordinal1]) ).
fof(f_1071_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1071_1]) ).
cnf(f_1071_3,plain,
$true,
inference(clausify,[status(thm)],[f_1071_2]) ).
fof(f_1072_1,plain,
! [A] :
( ( v4_ordinal1(A)
| A != k3_tarski(A) )
& ( A = k3_tarski(A)
| ~ v4_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[d6_ordinal1]) ).
fof(f_1072_2,plain,
! [U_3002] :
( ( v4_ordinal1(U_3002)
| U_3002 != k3_tarski(U_3002) )
& ( U_3002 = k3_tarski(U_3002)
| ~ v4_ordinal1(U_3002) ) ),
inference(variable_rename,[status(thm)],[f_1072_1]) ).
fof(f_1072_3,plain,
( ! [U_3004] :
( v4_ordinal1(U_3004)
| U_3004 != k3_tarski(U_3004) )
& ! [U_3003] :
( U_3003 = k3_tarski(U_3003)
| ~ v4_ordinal1(U_3003) ) ),
inference(miniscope,[status(thm)],[f_1072_2]) ).
fof(f_1072_4,plain,
( ! [U_3004] :
( v4_ordinal1(U_3004)
| U_3004 != k3_tarski(U_3004) )
& ! [U_3003] :
( U_3003 = k3_tarski(U_3003)
| ~ v4_ordinal1(U_3003) ) ),
inference(definitional_conversion,[status(esa)],[f_1072_3]) ).
cnf(f_1072_5,plain,
( U_3003 = k3_tarski(U_3003)
| ~ v4_ordinal1(U_3003) ),
inference(clausify,[status(thm)],[f_1072_4]) ).
cnf(f_1072_6,plain,
( v4_ordinal1(U_3004)
| U_3004 != k3_tarski(U_3004) ),
inference(clausify,[status(thm)],[f_1072_4]) ).
fof(f_1073_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t40_ordinal1]) ).
fof(f_1073_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1073_1]) ).
cnf(f_1073_3,plain,
$true,
inference(clausify,[status(thm)],[f_1073_2]) ).
fof(f_1074_1,plain,
! [A] :
( ( ( v4_ordinal1(A)
| ? [B] :
( ~ r2_hidden(k1_ordinal1(B),A)
& r2_hidden(B,A)
& v3_ordinal1(B) ) )
& ( ! [B] :
( r2_hidden(k1_ordinal1(B),A)
| ~ r2_hidden(B,A)
| ~ v3_ordinal1(B) )
| ~ v4_ordinal1(A) ) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t41_ordinal1]) ).
fof(f_1074_2,plain,
! [U_3007] :
( ( ( v4_ordinal1(U_3007)
| ? [U_3006] :
( ~ r2_hidden(k1_ordinal1(U_3006),U_3007)
& r2_hidden(U_3006,U_3007)
& v3_ordinal1(U_3006) ) )
& ( ! [U_3005] :
( r2_hidden(k1_ordinal1(U_3005),U_3007)
| ~ r2_hidden(U_3005,U_3007)
| ~ v3_ordinal1(U_3005) )
| ~ v4_ordinal1(U_3007) ) )
| ~ v3_ordinal1(U_3007) ),
inference(variable_rename,[status(thm)],[f_1074_1]) ).
fof(f_1074_3,plain,
! [U_3007] :
( ( ( v4_ordinal1(U_3007)
| ( ~ r2_hidden(k1_ordinal1(sK272(U_3007)),U_3007)
& r2_hidden(sK272(U_3007),U_3007)
& v3_ordinal1(sK272(U_3007)) ) )
& ( ! [U_3005] :
( r2_hidden(k1_ordinal1(U_3005),U_3007)
| ~ r2_hidden(U_3005,U_3007)
| ~ v3_ordinal1(U_3005) )
| ~ v4_ordinal1(U_3007) ) )
| ~ v3_ordinal1(U_3007) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK272]),skolemize(U_3006,sK272(U_3007))],[f_1074_2]) ).
fof(f_1074_4,plain,
( ! [U_3007] :
( ~ r2_hidden(k1_ordinal1(sK272(U_3007)),U_3007)
| ~ sP400(U_3007) )
& ! [U_3007] :
( r2_hidden(sK272(U_3007),U_3007)
| ~ sP400(U_3007) )
& ! [U_3007] :
( v3_ordinal1(sK272(U_3007))
| ~ sP400(U_3007) )
& ! [U_3007,U_3005] :
( v4_ordinal1(U_3007)
| sP400(U_3007)
| ~ sP401(U_3007,U_3005) )
& ! [U_3007,U_3005] :
( r2_hidden(k1_ordinal1(U_3005),U_3007)
| ~ r2_hidden(U_3005,U_3007)
| ~ v3_ordinal1(U_3005)
| ~ v4_ordinal1(U_3007)
| ~ sP401(U_3007,U_3005) )
& ! [U_3007,U_3005] :
( sP401(U_3007,U_3005)
| ~ v3_ordinal1(U_3007) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP400,sP401])],[f_1074_3]) ).
cnf(f_1074_5,plain,
( sP401(U_3007,U_3005)
| ~ v3_ordinal1(U_3007) ),
inference(clausify,[status(thm)],[f_1074_4]) ).
cnf(f_1074_6,plain,
( r2_hidden(k1_ordinal1(U_3005),U_3007)
| ~ r2_hidden(U_3005,U_3007)
| ~ v3_ordinal1(U_3005)
| ~ v4_ordinal1(U_3007)
| ~ sP401(U_3007,U_3005) ),
inference(clausify,[status(thm)],[f_1074_4]) ).
cnf(f_1074_7,plain,
( v4_ordinal1(U_3007)
| sP400(U_3007)
| ~ sP401(U_3007,U_3005) ),
inference(clausify,[status(thm)],[f_1074_4]) ).
cnf(f_1074_8,plain,
( v3_ordinal1(sK272(U_3007))
| ~ sP400(U_3007) ),
inference(clausify,[status(thm)],[f_1074_4]) ).
cnf(f_1074_9,plain,
( r2_hidden(sK272(U_3007),U_3007)
| ~ sP400(U_3007) ),
inference(clausify,[status(thm)],[f_1074_4]) ).
cnf(f_1074_10,plain,
( ~ r2_hidden(k1_ordinal1(sK272(U_3007)),U_3007)
| ~ sP400(U_3007) ),
inference(clausify,[status(thm)],[f_1074_4]) ).
fof(f_1075_1,plain,
! [A] :
( ( ( ~ v4_ordinal1(A)
| ! [B] :
( A != k1_ordinal1(B)
| ~ v3_ordinal1(B) ) )
& ( ? [B] :
( A = k1_ordinal1(B)
& v3_ordinal1(B) )
| v4_ordinal1(A) ) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t42_ordinal1]) ).
fof(f_1075_2,plain,
! [U_3010] :
( ( ( ~ v4_ordinal1(U_3010)
| ! [U_3009] :
( U_3010 != k1_ordinal1(U_3009)
| ~ v3_ordinal1(U_3009) ) )
& ( ? [U_3008] :
( U_3010 = k1_ordinal1(U_3008)
& v3_ordinal1(U_3008) )
| v4_ordinal1(U_3010) ) )
| ~ v3_ordinal1(U_3010) ),
inference(variable_rename,[status(thm)],[f_1075_1]) ).
fof(f_1075_3,plain,
! [U_3010] :
( ( ( ~ v4_ordinal1(U_3010)
| ! [U_3009] :
( U_3010 != k1_ordinal1(U_3009)
| ~ v3_ordinal1(U_3009) ) )
& ( ( U_3010 = k1_ordinal1(sK273(U_3010))
& v3_ordinal1(sK273(U_3010)) )
| v4_ordinal1(U_3010) ) )
| ~ v3_ordinal1(U_3010) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK273]),skolemize(U_3008,sK273(U_3010))],[f_1075_2]) ).
fof(f_1075_4,plain,
( ! [U_3010] :
( U_3010 = k1_ordinal1(sK273(U_3010))
| ~ sP402(U_3010) )
& ! [U_3010] :
( v3_ordinal1(sK273(U_3010))
| ~ sP402(U_3010) )
& ! [U_3009,U_3010] :
( ~ v4_ordinal1(U_3010)
| U_3010 != k1_ordinal1(U_3009)
| ~ v3_ordinal1(U_3009)
| ~ sP403(U_3009,U_3010) )
& ! [U_3009,U_3010] :
( sP402(U_3010)
| v4_ordinal1(U_3010)
| ~ sP403(U_3009,U_3010) )
& ! [U_3009,U_3010] :
( sP403(U_3009,U_3010)
| ~ v3_ordinal1(U_3010) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP402,sP403])],[f_1075_3]) ).
cnf(f_1075_5,plain,
( sP403(U_3009,U_3010)
| ~ v3_ordinal1(U_3010) ),
inference(clausify,[status(thm)],[f_1075_4]) ).
cnf(f_1075_6,plain,
( sP402(U_3010)
| v4_ordinal1(U_3010)
| ~ sP403(U_3009,U_3010) ),
inference(clausify,[status(thm)],[f_1075_4]) ).
cnf(f_1075_7,plain,
( ~ v4_ordinal1(U_3010)
| U_3010 != k1_ordinal1(U_3009)
| ~ v3_ordinal1(U_3009)
| ~ sP403(U_3009,U_3010) ),
inference(clausify,[status(thm)],[f_1075_4]) ).
cnf(f_1075_8,plain,
( v3_ordinal1(sK273(U_3010))
| ~ sP402(U_3010) ),
inference(clausify,[status(thm)],[f_1075_4]) ).
cnf(f_1075_9,plain,
( U_3010 = k1_ordinal1(sK273(U_3010))
| ~ sP402(U_3010) ),
inference(clausify,[status(thm)],[f_1075_4]) ).
fof(f_1076_1,plain,
! [A] :
( ( ( v5_ordinal1(A)
| ~ v3_ordinal1(k1_relat_1(A)) )
& ( v3_ordinal1(k1_relat_1(A))
| ~ v5_ordinal1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d7_ordinal1]) ).
fof(f_1076_2,plain,
! [U_3011] :
( ( ( v5_ordinal1(U_3011)
| ~ v3_ordinal1(k1_relat_1(U_3011)) )
& ( v3_ordinal1(k1_relat_1(U_3011))
| ~ v5_ordinal1(U_3011) ) )
| ~ v1_funct_1(U_3011)
| ~ v1_relat_1(U_3011) ),
inference(variable_rename,[status(thm)],[f_1076_1]) ).
fof(f_1076_3,plain,
( ! [U_3011] :
( v5_ordinal1(U_3011)
| ~ v3_ordinal1(k1_relat_1(U_3011))
| ~ sP404(U_3011) )
& ! [U_3011] :
( v3_ordinal1(k1_relat_1(U_3011))
| ~ v5_ordinal1(U_3011)
| ~ sP404(U_3011) )
& ! [U_3011] :
( sP404(U_3011)
| ~ v1_funct_1(U_3011)
| ~ v1_relat_1(U_3011) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP404])],[f_1076_2]) ).
cnf(f_1076_4,plain,
( sP404(U_3011)
| ~ v1_funct_1(U_3011)
| ~ v1_relat_1(U_3011) ),
inference(clausify,[status(thm)],[f_1076_3]) ).
cnf(f_1076_5,plain,
( v3_ordinal1(k1_relat_1(U_3011))
| ~ v5_ordinal1(U_3011)
| ~ sP404(U_3011) ),
inference(clausify,[status(thm)],[f_1076_3]) ).
cnf(f_1076_6,plain,
( v5_ordinal1(U_3011)
| ~ v3_ordinal1(k1_relat_1(U_3011))
| ~ sP404(U_3011) ),
inference(clausify,[status(thm)],[f_1076_3]) ).
fof(f_1077_1,plain,
! [A,B] :
( ( ( m1_ordinal1(B,A)
| ~ r1_tarski(k2_relat_1(B),A) )
& ( r1_tarski(k2_relat_1(B),A)
| ~ m1_ordinal1(B,A) ) )
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[d8_ordinal1]) ).
fof(f_1077_2,plain,
! [U_3013,U_3012] :
( ( ( m1_ordinal1(U_3012,U_3013)
| ~ r1_tarski(k2_relat_1(U_3012),U_3013) )
& ( r1_tarski(k2_relat_1(U_3012),U_3013)
| ~ m1_ordinal1(U_3012,U_3013) ) )
| ~ v5_ordinal1(U_3012)
| ~ v1_funct_1(U_3012)
| ~ v1_relat_1(U_3012) ),
inference(variable_rename,[status(thm)],[f_1077_1]) ).
fof(f_1077_3,plain,
( ! [U_3013,U_3012] :
( m1_ordinal1(U_3012,U_3013)
| ~ r1_tarski(k2_relat_1(U_3012),U_3013)
| ~ sP405(U_3013,U_3012) )
& ! [U_3013,U_3012] :
( r1_tarski(k2_relat_1(U_3012),U_3013)
| ~ m1_ordinal1(U_3012,U_3013)
| ~ sP405(U_3013,U_3012) )
& ! [U_3013,U_3012] :
( sP405(U_3013,U_3012)
| ~ v5_ordinal1(U_3012)
| ~ v1_funct_1(U_3012)
| ~ v1_relat_1(U_3012) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP405])],[f_1077_2]) ).
cnf(f_1077_4,plain,
( sP405(U_3013,U_3012)
| ~ v5_ordinal1(U_3012)
| ~ v1_funct_1(U_3012)
| ~ v1_relat_1(U_3012) ),
inference(clausify,[status(thm)],[f_1077_3]) ).
cnf(f_1077_5,plain,
( r1_tarski(k2_relat_1(U_3012),U_3013)
| ~ m1_ordinal1(U_3012,U_3013)
| ~ sP405(U_3013,U_3012) ),
inference(clausify,[status(thm)],[f_1077_3]) ).
cnf(f_1077_6,plain,
( m1_ordinal1(U_3012,U_3013)
| ~ r1_tarski(k2_relat_1(U_3012),U_3013)
| ~ sP405(U_3013,U_3012) ),
inference(clausify,[status(thm)],[f_1077_3]) ).
fof(f_1078_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t43_ordinal1]) ).
fof(f_1078_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1078_1]) ).
cnf(f_1078_3,plain,
$true,
inference(clausify,[status(thm)],[f_1078_2]) ).
fof(f_1079_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t44_ordinal1]) ).
fof(f_1079_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1079_1]) ).
cnf(f_1079_3,plain,
$true,
inference(clausify,[status(thm)],[f_1079_2]) ).
fof(f_1080_1,plain,
! [A] : m1_ordinal1(k1_xboole_0,A),
inference(fof_nnf,[status(thm)],[t45_ordinal1]) ).
fof(f_1080_2,plain,
! [U_3014] : m1_ordinal1(k1_xboole_0,U_3014),
inference(variable_rename,[status(thm)],[f_1080_1]) ).
fof(f_1080_3,plain,
! [U_3014] : m1_ordinal1(k1_xboole_0,U_3014),
inference(definitional_conversion,[status(esa)],[f_1080_2]) ).
cnf(f_1080_4,plain,
m1_ordinal1(k1_xboole_0,U_3014),
inference(clausify,[status(thm)],[f_1080_3]) ).
fof(f_1081_1,plain,
! [A] :
( m1_ordinal1(A,k2_relat_1(A))
| ~ v3_ordinal1(k1_relat_1(A))
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t46_ordinal1]) ).
fof(f_1081_2,plain,
! [U_3015] :
( m1_ordinal1(U_3015,k2_relat_1(U_3015))
| ~ v3_ordinal1(k1_relat_1(U_3015))
| ~ v1_funct_1(U_3015)
| ~ v1_relat_1(U_3015) ),
inference(variable_rename,[status(thm)],[f_1081_1]) ).
fof(f_1081_3,plain,
! [U_3015] :
( m1_ordinal1(U_3015,k2_relat_1(U_3015))
| ~ v3_ordinal1(k1_relat_1(U_3015))
| ~ v1_funct_1(U_3015)
| ~ v1_relat_1(U_3015) ),
inference(definitional_conversion,[status(esa)],[f_1081_2]) ).
cnf(f_1081_4,plain,
( m1_ordinal1(U_3015,k2_relat_1(U_3015))
| ~ v3_ordinal1(k1_relat_1(U_3015))
| ~ v1_funct_1(U_3015)
| ~ v1_relat_1(U_3015) ),
inference(clausify,[status(thm)],[f_1081_3]) ).
fof(f_1082_1,plain,
! [A,B] :
( ! [C] :
( m1_ordinal1(C,B)
| ~ m1_ordinal1(C,A) )
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t47_ordinal1]) ).
fof(f_1082_2,plain,
! [U_3018,U_3017] :
( ! [U_3016] :
( m1_ordinal1(U_3016,U_3017)
| ~ m1_ordinal1(U_3016,U_3018) )
| ~ r1_tarski(U_3018,U_3017) ),
inference(variable_rename,[status(thm)],[f_1082_1]) ).
fof(f_1082_3,plain,
! [U_3018,U_3017,U_3016] :
( m1_ordinal1(U_3016,U_3017)
| ~ m1_ordinal1(U_3016,U_3018)
| ~ r1_tarski(U_3018,U_3017) ),
inference(definitional_conversion,[status(esa)],[f_1082_2]) ).
cnf(f_1082_4,plain,
( m1_ordinal1(U_3016,U_3017)
| ~ m1_ordinal1(U_3016,U_3018)
| ~ r1_tarski(U_3018,U_3017) ),
inference(clausify,[status(thm)],[f_1082_3]) ).
fof(f_1083_1,plain,
! [A,B] :
( ! [C] :
( m1_ordinal1(k2_ordinal1(B,C),A)
| ~ v3_ordinal1(C) )
| ~ m1_ordinal1(B,A) ),
inference(fof_nnf,[status(thm)],[t48_ordinal1]) ).
fof(f_1083_2,plain,
! [U_3021,U_3020] :
( ! [U_3019] :
( m1_ordinal1(k2_ordinal1(U_3020,U_3019),U_3021)
| ~ v3_ordinal1(U_3019) )
| ~ m1_ordinal1(U_3020,U_3021) ),
inference(variable_rename,[status(thm)],[f_1083_1]) ).
fof(f_1083_3,plain,
! [U_3021,U_3020,U_3019] :
( m1_ordinal1(k2_ordinal1(U_3020,U_3019),U_3021)
| ~ v3_ordinal1(U_3019)
| ~ m1_ordinal1(U_3020,U_3021) ),
inference(definitional_conversion,[status(esa)],[f_1083_2]) ).
cnf(f_1083_4,plain,
( m1_ordinal1(k2_ordinal1(U_3020,U_3019),U_3021)
| ~ v3_ordinal1(U_3019)
| ~ m1_ordinal1(U_3020,U_3021) ),
inference(clausify,[status(thm)],[f_1083_3]) ).
fof(f_1084_1,plain,
! [A] :
( ( v6_ordinal1(A)
| ? [B,C] :
( ~ r3_xboole_0(B,C)
& r2_hidden(C,A)
& r2_hidden(B,A) ) )
& ( ! [B,C] :
( r3_xboole_0(B,C)
| ~ r2_hidden(C,A)
| ~ r2_hidden(B,A) )
| ~ v6_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[d9_ordinal1]) ).
fof(f_1084_2,plain,
! [U_3026] :
( ( v6_ordinal1(U_3026)
| ? [U_3025,U_3024] :
( ~ r3_xboole_0(U_3025,U_3024)
& r2_hidden(U_3024,U_3026)
& r2_hidden(U_3025,U_3026) ) )
& ( ! [U_3023,U_3022] :
( r3_xboole_0(U_3023,U_3022)
| ~ r2_hidden(U_3022,U_3026)
| ~ r2_hidden(U_3023,U_3026) )
| ~ v6_ordinal1(U_3026) ) ),
inference(variable_rename,[status(thm)],[f_1084_1]) ).
fof(f_1084_3,plain,
( ! [U_3028] :
( v6_ordinal1(U_3028)
| ? [U_3025,U_3024] :
( ~ r3_xboole_0(U_3025,U_3024)
& r2_hidden(U_3024,U_3028)
& r2_hidden(U_3025,U_3028) ) )
& ! [U_3027] :
( ! [U_3023,U_3022] :
( r3_xboole_0(U_3023,U_3022)
| ~ r2_hidden(U_3022,U_3027)
| ~ r2_hidden(U_3023,U_3027) )
| ~ v6_ordinal1(U_3027) ) ),
inference(miniscope,[status(thm)],[f_1084_2]) ).
fof(f_1084_4,plain,
( ! [U_3028] :
( v6_ordinal1(U_3028)
| ? [U_3024] :
( ~ r3_xboole_0(sK274(U_3028),U_3024)
& r2_hidden(U_3024,U_3028)
& r2_hidden(sK274(U_3028),U_3028) ) )
& ! [U_3027] :
( ! [U_3023,U_3022] :
( r3_xboole_0(U_3023,U_3022)
| ~ r2_hidden(U_3022,U_3027)
| ~ r2_hidden(U_3023,U_3027) )
| ~ v6_ordinal1(U_3027) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK274]),skolemize(U_3025,sK274(U_3028))],[f_1084_3]) ).
fof(f_1084_5,plain,
( ! [U_3028] :
( v6_ordinal1(U_3028)
| ( ~ r3_xboole_0(sK274(U_3028),sK275(U_3028))
& r2_hidden(sK275(U_3028),U_3028)
& r2_hidden(sK274(U_3028),U_3028) ) )
& ! [U_3027] :
( ! [U_3023,U_3022] :
( r3_xboole_0(U_3023,U_3022)
| ~ r2_hidden(U_3022,U_3027)
| ~ r2_hidden(U_3023,U_3027) )
| ~ v6_ordinal1(U_3027) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK275]),skolemize(U_3024,sK275(U_3028))],[f_1084_4]) ).
fof(f_1084_6,plain,
( ! [U_3028] :
( ~ r3_xboole_0(sK274(U_3028),sK275(U_3028))
| ~ sP406(U_3028) )
& ! [U_3028] :
( r2_hidden(sK275(U_3028),U_3028)
| ~ sP406(U_3028) )
& ! [U_3028] :
( r2_hidden(sK274(U_3028),U_3028)
| ~ sP406(U_3028) )
& ! [U_3028] :
( v6_ordinal1(U_3028)
| sP406(U_3028) )
& ! [U_3023,U_3027,U_3022] :
( r3_xboole_0(U_3023,U_3022)
| ~ r2_hidden(U_3022,U_3027)
| ~ r2_hidden(U_3023,U_3027)
| ~ v6_ordinal1(U_3027) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP406])],[f_1084_5]) ).
cnf(f_1084_7,plain,
( r3_xboole_0(U_3023,U_3022)
| ~ r2_hidden(U_3022,U_3027)
| ~ r2_hidden(U_3023,U_3027)
| ~ v6_ordinal1(U_3027) ),
inference(clausify,[status(thm)],[f_1084_6]) ).
cnf(f_1084_8,plain,
( v6_ordinal1(U_3028)
| sP406(U_3028) ),
inference(clausify,[status(thm)],[f_1084_6]) ).
cnf(f_1084_9,plain,
( r2_hidden(sK274(U_3028),U_3028)
| ~ sP406(U_3028) ),
inference(clausify,[status(thm)],[f_1084_6]) ).
cnf(f_1084_10,plain,
( r2_hidden(sK275(U_3028),U_3028)
| ~ sP406(U_3028) ),
inference(clausify,[status(thm)],[f_1084_6]) ).
cnf(f_1084_11,plain,
( ~ r3_xboole_0(sK274(U_3028),sK275(U_3028))
| ~ sP406(U_3028) ),
inference(clausify,[status(thm)],[f_1084_6]) ).
fof(f_1085_1,plain,
! [A] :
( ( v5_ordinal1(k3_tarski(A))
& v1_funct_1(k3_tarski(A))
& v1_relat_1(k3_tarski(A)) )
| ~ v6_ordinal1(A)
| ? [B] :
( ( ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t49_ordinal1]) ).
fof(f_1085_2,plain,
! [U_3030] :
( ( v5_ordinal1(k3_tarski(U_3030))
& v1_funct_1(k3_tarski(U_3030))
& v1_relat_1(k3_tarski(U_3030)) )
| ~ v6_ordinal1(U_3030)
| ? [U_3029] :
( ( ~ v5_ordinal1(U_3029)
| ~ v1_funct_1(U_3029)
| ~ v1_relat_1(U_3029) )
& r2_hidden(U_3029,U_3030) ) ),
inference(variable_rename,[status(thm)],[f_1085_1]) ).
fof(f_1085_3,plain,
! [U_3030] :
( ( v5_ordinal1(k3_tarski(U_3030))
& v1_funct_1(k3_tarski(U_3030))
& v1_relat_1(k3_tarski(U_3030)) )
| ~ v6_ordinal1(U_3030)
| ( ( ~ v5_ordinal1(sK276(U_3030))
| ~ v1_funct_1(sK276(U_3030))
| ~ v1_relat_1(sK276(U_3030)) )
& r2_hidden(sK276(U_3030),U_3030) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK276]),skolemize(U_3029,sK276(U_3030))],[f_1085_2]) ).
fof(f_1085_4,plain,
( ! [U_3030] :
( v5_ordinal1(k3_tarski(U_3030))
| ~ sP408(U_3030) )
& ! [U_3030] :
( v1_funct_1(k3_tarski(U_3030))
| ~ sP408(U_3030) )
& ! [U_3030] :
( v1_relat_1(k3_tarski(U_3030))
| ~ sP408(U_3030) )
& ! [U_3030] :
( ~ v5_ordinal1(sK276(U_3030))
| ~ v1_funct_1(sK276(U_3030))
| ~ v1_relat_1(sK276(U_3030))
| ~ sP407(U_3030) )
& ! [U_3030] :
( r2_hidden(sK276(U_3030),U_3030)
| ~ sP407(U_3030) )
& ! [U_3030] :
( sP408(U_3030)
| ~ v6_ordinal1(U_3030)
| sP407(U_3030) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP407,sP408])],[f_1085_3]) ).
cnf(f_1085_5,plain,
( sP408(U_3030)
| ~ v6_ordinal1(U_3030)
| sP407(U_3030) ),
inference(clausify,[status(thm)],[f_1085_4]) ).
cnf(f_1085_6,plain,
( r2_hidden(sK276(U_3030),U_3030)
| ~ sP407(U_3030) ),
inference(clausify,[status(thm)],[f_1085_4]) ).
cnf(f_1085_7,plain,
( ~ v5_ordinal1(sK276(U_3030))
| ~ v1_funct_1(sK276(U_3030))
| ~ v1_relat_1(sK276(U_3030))
| ~ sP407(U_3030) ),
inference(clausify,[status(thm)],[f_1085_4]) ).
cnf(f_1085_8,plain,
( v1_relat_1(k3_tarski(U_3030))
| ~ sP408(U_3030) ),
inference(clausify,[status(thm)],[f_1085_4]) ).
cnf(f_1085_9,plain,
( v1_funct_1(k3_tarski(U_3030))
| ~ sP408(U_3030) ),
inference(clausify,[status(thm)],[f_1085_4]) ).
cnf(f_1085_10,plain,
( v5_ordinal1(k3_tarski(U_3030))
| ~ sP408(U_3030) ),
inference(clausify,[status(thm)],[f_1085_4]) ).
fof(f_1086_1,plain,
! [A] :
( ! [B] :
( r2_xboole_0(B,A)
| A = B
| r2_xboole_0(A,B)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t50_ordinal1]) ).
fof(f_1086_2,plain,
! [U_3032] :
( ! [U_3031] :
( r2_xboole_0(U_3031,U_3032)
| U_3032 = U_3031
| r2_xboole_0(U_3032,U_3031)
| ~ v3_ordinal1(U_3031) )
| ~ v3_ordinal1(U_3032) ),
inference(variable_rename,[status(thm)],[f_1086_1]) ).
fof(f_1086_3,plain,
! [U_3032,U_3031] :
( r2_xboole_0(U_3031,U_3032)
| U_3032 = U_3031
| r2_xboole_0(U_3032,U_3031)
| ~ v3_ordinal1(U_3031)
| ~ v3_ordinal1(U_3032) ),
inference(definitional_conversion,[status(esa)],[f_1086_2]) ).
cnf(f_1086_4,plain,
( r2_xboole_0(U_3031,U_3032)
| U_3032 = U_3031
| r2_xboole_0(U_3032,U_3031)
| ~ v3_ordinal1(U_3031)
| ~ v3_ordinal1(U_3032) ),
inference(clausify,[status(thm)],[f_1086_3]) ).
fof(f_1087_1,plain,
( ? [A] :
( ! [B] :
( r1_ordinal1(A,B)
| ~ p1_s1_ordinal1(B)
| ~ v3_ordinal1(B) )
& p1_s1_ordinal1(A)
& v3_ordinal1(A) )
| ! [A] :
( ~ p1_s1_ordinal1(A)
| ~ v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s1_ordinal1]) ).
fof(f_1087_2,plain,
( ? [U_3035] :
( ! [U_3034] :
( r1_ordinal1(U_3035,U_3034)
| ~ p1_s1_ordinal1(U_3034)
| ~ v3_ordinal1(U_3034) )
& p1_s1_ordinal1(U_3035)
& v3_ordinal1(U_3035) )
| ! [U_3033] :
( ~ p1_s1_ordinal1(U_3033)
| ~ v3_ordinal1(U_3033) ) ),
inference(variable_rename,[status(thm)],[f_1087_1]) ).
fof(f_1087_3,plain,
( ( ! [U_3034] :
( r1_ordinal1(sK277,U_3034)
| ~ p1_s1_ordinal1(U_3034)
| ~ v3_ordinal1(U_3034) )
& p1_s1_ordinal1(sK277)
& v3_ordinal1(sK277) )
| ! [U_3033] :
( ~ p1_s1_ordinal1(U_3033)
| ~ v3_ordinal1(U_3033) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK277]),skolemize(U_3035,sK277)],[f_1087_2]) ).
fof(f_1087_4,plain,
( ! [U_3034] :
( r1_ordinal1(sK277,U_3034)
| ~ p1_s1_ordinal1(U_3034)
| ~ v3_ordinal1(U_3034)
| ~ sP409(U_3034) )
& ! [U_3034] :
( p1_s1_ordinal1(sK277)
| ~ sP409(U_3034) )
& ! [U_3034] :
( v3_ordinal1(sK277)
| ~ sP409(U_3034) )
& ! [U_3034,U_3033] :
( sP409(U_3034)
| ~ p1_s1_ordinal1(U_3033)
| ~ v3_ordinal1(U_3033) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP409])],[f_1087_3]) ).
cnf(f_1087_5,plain,
( sP409(U_3034)
| ~ p1_s1_ordinal1(U_3033)
| ~ v3_ordinal1(U_3033) ),
inference(clausify,[status(thm)],[f_1087_4]) ).
cnf(f_1087_6,plain,
( v3_ordinal1(sK277)
| ~ sP409(U_3034) ),
inference(clausify,[status(thm)],[f_1087_4]) ).
cnf(f_1087_7,plain,
( p1_s1_ordinal1(sK277)
| ~ sP409(U_3034) ),
inference(clausify,[status(thm)],[f_1087_4]) ).
cnf(f_1087_8,plain,
( r1_ordinal1(sK277,U_3034)
| ~ p1_s1_ordinal1(U_3034)
| ~ v3_ordinal1(U_3034)
| ~ sP409(U_3034) ),
inference(clausify,[status(thm)],[f_1087_4]) ).
fof(f_1088_1,plain,
( ! [A] :
( p1_s2_ordinal1(A)
| ~ v3_ordinal1(A) )
| ? [A] :
( ~ p1_s2_ordinal1(A)
& ! [B] :
( p1_s2_ordinal1(B)
| ~ r2_hidden(B,A)
| ~ v3_ordinal1(B) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s2_ordinal1]) ).
fof(f_1088_2,plain,
( ! [U_3038] :
( p1_s2_ordinal1(U_3038)
| ~ v3_ordinal1(U_3038) )
| ? [U_3037] :
( ~ p1_s2_ordinal1(U_3037)
& ! [U_3036] :
( p1_s2_ordinal1(U_3036)
| ~ r2_hidden(U_3036,U_3037)
| ~ v3_ordinal1(U_3036) )
& v3_ordinal1(U_3037) ) ),
inference(variable_rename,[status(thm)],[f_1088_1]) ).
fof(f_1088_3,plain,
( ! [U_3038] :
( p1_s2_ordinal1(U_3038)
| ~ v3_ordinal1(U_3038) )
| ( ~ p1_s2_ordinal1(sK278)
& ! [U_3036] :
( p1_s2_ordinal1(U_3036)
| ~ r2_hidden(U_3036,sK278)
| ~ v3_ordinal1(U_3036) )
& v3_ordinal1(sK278) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK278]),skolemize(U_3037,sK278)],[f_1088_2]) ).
fof(f_1088_4,plain,
( ! [U_3036] :
( ~ p1_s2_ordinal1(sK278)
| ~ sP410(U_3036) )
& ! [U_3036] :
( p1_s2_ordinal1(U_3036)
| ~ r2_hidden(U_3036,sK278)
| ~ v3_ordinal1(U_3036)
| ~ sP410(U_3036) )
& ! [U_3036] :
( v3_ordinal1(sK278)
| ~ sP410(U_3036) )
& ! [U_3036,U_3038] :
( p1_s2_ordinal1(U_3038)
| ~ v3_ordinal1(U_3038)
| sP410(U_3036) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP410])],[f_1088_3]) ).
cnf(f_1088_5,plain,
( p1_s2_ordinal1(U_3038)
| ~ v3_ordinal1(U_3038)
| sP410(U_3036) ),
inference(clausify,[status(thm)],[f_1088_4]) ).
cnf(f_1088_6,plain,
( v3_ordinal1(sK278)
| ~ sP410(U_3036) ),
inference(clausify,[status(thm)],[f_1088_4]) ).
cnf(f_1088_7,plain,
( p1_s2_ordinal1(U_3036)
| ~ r2_hidden(U_3036,sK278)
| ~ v3_ordinal1(U_3036)
| ~ sP410(U_3036) ),
inference(clausify,[status(thm)],[f_1088_4]) ).
cnf(f_1088_8,plain,
( ~ p1_s2_ordinal1(sK278)
| ~ sP410(U_3036) ),
inference(clausify,[status(thm)],[f_1088_4]) ).
fof(f_1089_1,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| ? [A] :
( ? [B] :
( k1_funct_1(f4_s3_ordinal1,A) != f2_s3_ordinal1(B)
& B = k2_ordinal1(f4_s3_ordinal1,A)
& r2_hidden(A,f1_s3_ordinal1)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
& v3_ordinal1(A) )
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| ? [A] :
( ? [B] :
( k1_funct_1(f3_s3_ordinal1,A) != f2_s3_ordinal1(B)
& B = k2_ordinal1(f3_s3_ordinal1,A)
& r2_hidden(A,f1_s3_ordinal1)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
& v3_ordinal1(A) )
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(fof_nnf,[status(thm)],[s3_ordinal1]) ).
fof(f_1089_2,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| ? [U_3042] :
( ? [U_3041] :
( k1_funct_1(f4_s3_ordinal1,U_3042) != f2_s3_ordinal1(U_3041)
& U_3041 = k2_ordinal1(f4_s3_ordinal1,U_3042)
& r2_hidden(U_3042,f1_s3_ordinal1)
& v5_ordinal1(U_3041)
& v1_funct_1(U_3041)
& v1_relat_1(U_3041) )
& v3_ordinal1(U_3042) )
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| ? [U_3040] :
( ? [U_3039] :
( k1_funct_1(f3_s3_ordinal1,U_3040) != f2_s3_ordinal1(U_3039)
& U_3039 = k2_ordinal1(f3_s3_ordinal1,U_3040)
& r2_hidden(U_3040,f1_s3_ordinal1)
& v5_ordinal1(U_3039)
& v1_funct_1(U_3039)
& v1_relat_1(U_3039) )
& v3_ordinal1(U_3040) )
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(variable_rename,[status(thm)],[f_1089_1]) ).
fof(f_1089_3,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| ? [U_3042] :
( ? [U_3041] :
( k1_funct_1(f4_s3_ordinal1,U_3042) != f2_s3_ordinal1(U_3041)
& U_3041 = k2_ordinal1(f4_s3_ordinal1,U_3042)
& r2_hidden(U_3042,f1_s3_ordinal1)
& v5_ordinal1(U_3041)
& v1_funct_1(U_3041)
& v1_relat_1(U_3041) )
& v3_ordinal1(U_3042) )
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| ( ? [U_3039] :
( k1_funct_1(f3_s3_ordinal1,sK279) != f2_s3_ordinal1(U_3039)
& U_3039 = k2_ordinal1(f3_s3_ordinal1,sK279)
& r2_hidden(sK279,f1_s3_ordinal1)
& v5_ordinal1(U_3039)
& v1_funct_1(U_3039)
& v1_relat_1(U_3039) )
& v3_ordinal1(sK279) )
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK279]),skolemize(U_3040,sK279)],[f_1089_2]) ).
fof(f_1089_4,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| ? [U_3042] :
( ? [U_3041] :
( k1_funct_1(f4_s3_ordinal1,U_3042) != f2_s3_ordinal1(U_3041)
& U_3041 = k2_ordinal1(f4_s3_ordinal1,U_3042)
& r2_hidden(U_3042,f1_s3_ordinal1)
& v5_ordinal1(U_3041)
& v1_funct_1(U_3041)
& v1_relat_1(U_3041) )
& v3_ordinal1(U_3042) )
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| ( k1_funct_1(f3_s3_ordinal1,sK279) != f2_s3_ordinal1(sK280)
& sK280 = k2_ordinal1(f3_s3_ordinal1,sK279)
& r2_hidden(sK279,f1_s3_ordinal1)
& v5_ordinal1(sK280)
& v1_funct_1(sK280)
& v1_relat_1(sK280)
& v3_ordinal1(sK279) )
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK280]),skolemize(U_3039,sK280)],[f_1089_3]) ).
fof(f_1089_5,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| ( ? [U_3041] :
( k1_funct_1(f4_s3_ordinal1,sK281) != f2_s3_ordinal1(U_3041)
& U_3041 = k2_ordinal1(f4_s3_ordinal1,sK281)
& r2_hidden(sK281,f1_s3_ordinal1)
& v5_ordinal1(U_3041)
& v1_funct_1(U_3041)
& v1_relat_1(U_3041) )
& v3_ordinal1(sK281) )
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| ( k1_funct_1(f3_s3_ordinal1,sK279) != f2_s3_ordinal1(sK280)
& sK280 = k2_ordinal1(f3_s3_ordinal1,sK279)
& r2_hidden(sK279,f1_s3_ordinal1)
& v5_ordinal1(sK280)
& v1_funct_1(sK280)
& v1_relat_1(sK280)
& v3_ordinal1(sK279) )
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK281]),skolemize(U_3042,sK281)],[f_1089_4]) ).
fof(f_1089_6,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| ( k1_funct_1(f4_s3_ordinal1,sK281) != f2_s3_ordinal1(sK282)
& sK282 = k2_ordinal1(f4_s3_ordinal1,sK281)
& r2_hidden(sK281,f1_s3_ordinal1)
& v5_ordinal1(sK282)
& v1_funct_1(sK282)
& v1_relat_1(sK282)
& v3_ordinal1(sK281) )
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| ( k1_funct_1(f3_s3_ordinal1,sK279) != f2_s3_ordinal1(sK280)
& sK280 = k2_ordinal1(f3_s3_ordinal1,sK279)
& r2_hidden(sK279,f1_s3_ordinal1)
& v5_ordinal1(sK280)
& v1_funct_1(sK280)
& v1_relat_1(sK280)
& v3_ordinal1(sK279) )
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK282]),skolemize(U_3041,sK282)],[f_1089_5]) ).
fof(f_1089_7,plain,
( ( k1_funct_1(f4_s3_ordinal1,sK281) != f2_s3_ordinal1(sK282)
| ~ sP412 )
& ( sK282 = k2_ordinal1(f4_s3_ordinal1,sK281)
| ~ sP412 )
& ( r2_hidden(sK281,f1_s3_ordinal1)
| ~ sP412 )
& ( v5_ordinal1(sK282)
| ~ sP412 )
& ( v1_funct_1(sK282)
| ~ sP412 )
& ( v1_relat_1(sK282)
| ~ sP412 )
& ( v3_ordinal1(sK281)
| ~ sP412 )
& ( k1_funct_1(f3_s3_ordinal1,sK279) != f2_s3_ordinal1(sK280)
| ~ sP411 )
& ( sK280 = k2_ordinal1(f3_s3_ordinal1,sK279)
| ~ sP411 )
& ( r2_hidden(sK279,f1_s3_ordinal1)
| ~ sP411 )
& ( v5_ordinal1(sK280)
| ~ sP411 )
& ( v1_funct_1(sK280)
| ~ sP411 )
& ( v1_relat_1(sK280)
| ~ sP411 )
& ( v3_ordinal1(sK279)
| ~ sP411 )
& ( f3_s3_ordinal1 = f4_s3_ordinal1
| sP412
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| sP411
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP411,sP412])],[f_1089_6]) ).
cnf(f_1089_8,plain,
( f3_s3_ordinal1 = f4_s3_ordinal1
| sP412
| k1_relat_1(f4_s3_ordinal1) != f1_s3_ordinal1
| sP411
| k1_relat_1(f3_s3_ordinal1) != f1_s3_ordinal1 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_9,plain,
( v3_ordinal1(sK279)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_10,plain,
( v1_relat_1(sK280)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_11,plain,
( v1_funct_1(sK280)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_12,plain,
( v5_ordinal1(sK280)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_13,plain,
( r2_hidden(sK279,f1_s3_ordinal1)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_14,plain,
( sK280 = k2_ordinal1(f3_s3_ordinal1,sK279)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_15,plain,
( k1_funct_1(f3_s3_ordinal1,sK279) != f2_s3_ordinal1(sK280)
| ~ sP411 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_16,plain,
( v3_ordinal1(sK281)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_17,plain,
( v1_relat_1(sK282)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_18,plain,
( v1_funct_1(sK282)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_19,plain,
( v5_ordinal1(sK282)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_20,plain,
( r2_hidden(sK281,f1_s3_ordinal1)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_21,plain,
( sK282 = k2_ordinal1(f4_s3_ordinal1,sK281)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
cnf(f_1089_22,plain,
( k1_funct_1(f4_s3_ordinal1,sK281) != f2_s3_ordinal1(sK282)
| ~ sP412 ),
inference(clausify,[status(thm)],[f_1089_7]) ).
fof(f_1090_1,plain,
? [A] :
( ! [B] :
( ! [C] :
( k1_funct_1(A,B) = f2_s4_ordinal1(C)
| C != k2_ordinal1(A,B)
| ~ r2_hidden(B,f1_s4_ordinal1)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v3_ordinal1(B) )
& k1_relat_1(A) = f1_s4_ordinal1
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s4_ordinal1]) ).
fof(f_1090_2,plain,
? [U_3045] :
( ! [U_3044] :
( ! [U_3043] :
( k1_funct_1(U_3045,U_3044) = f2_s4_ordinal1(U_3043)
| U_3043 != k2_ordinal1(U_3045,U_3044)
| ~ r2_hidden(U_3044,f1_s4_ordinal1)
| ~ v5_ordinal1(U_3043)
| ~ v1_funct_1(U_3043)
| ~ v1_relat_1(U_3043) )
| ~ v3_ordinal1(U_3044) )
& k1_relat_1(U_3045) = f1_s4_ordinal1
& v5_ordinal1(U_3045)
& v1_funct_1(U_3045)
& v1_relat_1(U_3045) ),
inference(variable_rename,[status(thm)],[f_1090_1]) ).
fof(f_1090_3,plain,
( ! [U_3044] :
( ! [U_3043] :
( k1_funct_1(sK283,U_3044) = f2_s4_ordinal1(U_3043)
| U_3043 != k2_ordinal1(sK283,U_3044)
| ~ r2_hidden(U_3044,f1_s4_ordinal1)
| ~ v5_ordinal1(U_3043)
| ~ v1_funct_1(U_3043)
| ~ v1_relat_1(U_3043) )
| ~ v3_ordinal1(U_3044) )
& k1_relat_1(sK283) = f1_s4_ordinal1
& v5_ordinal1(sK283)
& v1_funct_1(sK283)
& v1_relat_1(sK283) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK283]),skolemize(U_3045,sK283)],[f_1090_2]) ).
fof(f_1090_4,plain,
( ! [U_3043,U_3044] :
( k1_funct_1(sK283,U_3044) = f2_s4_ordinal1(U_3043)
| U_3043 != k2_ordinal1(sK283,U_3044)
| ~ r2_hidden(U_3044,f1_s4_ordinal1)
| ~ v5_ordinal1(U_3043)
| ~ v1_funct_1(U_3043)
| ~ v1_relat_1(U_3043)
| ~ v3_ordinal1(U_3044) )
& k1_relat_1(sK283) = f1_s4_ordinal1
& v5_ordinal1(sK283)
& v1_funct_1(sK283)
& v1_relat_1(sK283) ),
inference(definitional_conversion,[status(esa)],[f_1090_3]) ).
cnf(f_1090_5,plain,
v1_relat_1(sK283),
inference(clausify,[status(thm)],[f_1090_4]) ).
cnf(f_1090_6,plain,
v1_funct_1(sK283),
inference(clausify,[status(thm)],[f_1090_4]) ).
cnf(f_1090_7,plain,
v5_ordinal1(sK283),
inference(clausify,[status(thm)],[f_1090_4]) ).
cnf(f_1090_8,plain,
k1_relat_1(sK283) = f1_s4_ordinal1,
inference(clausify,[status(thm)],[f_1090_4]) ).
cnf(f_1090_9,plain,
( k1_funct_1(sK283,U_3044) = f2_s4_ordinal1(U_3043)
| U_3043 != k2_ordinal1(sK283,U_3044)
| ~ r2_hidden(U_3044,f1_s4_ordinal1)
| ~ v5_ordinal1(U_3043)
| ~ v1_funct_1(U_3043)
| ~ v1_relat_1(U_3043)
| ~ v3_ordinal1(U_3044) ),
inference(clausify,[status(thm)],[f_1090_4]) ).
fof(f_1091_1,plain,
( ! [A] :
( k1_funct_1(f1_s5_ordinal1,A) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,A))
| ~ r2_hidden(A,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f1_s5_ordinal1,A) != f2_s5_ordinal1(A)
& r2_hidden(A,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(A) )
| ? [A] :
( ? [B] :
( ( B != f2_s5_ordinal1(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f3_s5_ordinal1(k2_ordinal1(C,D))
| ~ r2_hidden(D,A)
| ~ v3_ordinal1(D) )
& k1_relat_1(C) = A
& B = f3_s5_ordinal1(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f3_s5_ordinal1(k2_ordinal1(C,D))
& r2_hidden(D,A)
& v3_ordinal1(D) )
| k1_relat_1(C) != A
| B != f3_s5_ordinal1(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f2_s5_ordinal1(A) ) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s5_ordinal1]) ).
fof(f_1091_2,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ? [U_3051] :
( ? [U_3050] :
( ( U_3050 != f2_s5_ordinal1(U_3051)
& ? [U_3049] :
( ! [U_3048] :
( k1_funct_1(U_3049,U_3048) = f3_s5_ordinal1(k2_ordinal1(U_3049,U_3048))
| ~ r2_hidden(U_3048,U_3051)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(U_3049) = U_3051
& U_3050 = f3_s5_ordinal1(U_3049)
& v5_ordinal1(U_3049)
& v1_funct_1(U_3049)
& v1_relat_1(U_3049) ) )
| ( ! [U_3047] :
( ? [U_3046] :
( k1_funct_1(U_3047,U_3046) != f3_s5_ordinal1(k2_ordinal1(U_3047,U_3046))
& r2_hidden(U_3046,U_3051)
& v3_ordinal1(U_3046) )
| k1_relat_1(U_3047) != U_3051
| U_3050 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& U_3050 = f2_s5_ordinal1(U_3051) ) )
& v3_ordinal1(U_3051) ) ),
inference(variable_rename,[status(thm)],[f_1091_1]) ).
fof(f_1091_3,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ? [U_3051] :
( ( ? [U_3055] :
( U_3055 != f2_s5_ordinal1(U_3051)
& ? [U_3049] :
( ! [U_3048] :
( k1_funct_1(U_3049,U_3048) = f3_s5_ordinal1(k2_ordinal1(U_3049,U_3048))
| ~ r2_hidden(U_3048,U_3051)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(U_3049) = U_3051
& U_3055 = f3_s5_ordinal1(U_3049)
& v5_ordinal1(U_3049)
& v1_funct_1(U_3049)
& v1_relat_1(U_3049) ) )
| ? [U_3054] :
( ! [U_3047] :
( ? [U_3046] :
( k1_funct_1(U_3047,U_3046) != f3_s5_ordinal1(k2_ordinal1(U_3047,U_3046))
& r2_hidden(U_3046,U_3051)
& v3_ordinal1(U_3046) )
| k1_relat_1(U_3047) != U_3051
| U_3054 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& U_3054 = f2_s5_ordinal1(U_3051) ) )
& v3_ordinal1(U_3051) ) ),
inference(miniscope,[status(thm)],[f_1091_2]) ).
fof(f_1091_4,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ( ( ? [U_3055] :
( U_3055 != f2_s5_ordinal1(sK284)
& ? [U_3049] :
( ! [U_3048] :
( k1_funct_1(U_3049,U_3048) = f3_s5_ordinal1(k2_ordinal1(U_3049,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(U_3049) = sK284
& U_3055 = f3_s5_ordinal1(U_3049)
& v5_ordinal1(U_3049)
& v1_funct_1(U_3049)
& v1_relat_1(U_3049) ) )
| ? [U_3054] :
( ! [U_3047] :
( ? [U_3046] :
( k1_funct_1(U_3047,U_3046) != f3_s5_ordinal1(k2_ordinal1(U_3047,U_3046))
& r2_hidden(U_3046,sK284)
& v3_ordinal1(U_3046) )
| k1_relat_1(U_3047) != sK284
| U_3054 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& U_3054 = f2_s5_ordinal1(sK284) ) )
& v3_ordinal1(sK284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK284]),skolemize(U_3051,sK284)],[f_1091_3]) ).
fof(f_1091_5,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ( ( ? [U_3055] :
( U_3055 != f2_s5_ordinal1(sK284)
& ? [U_3049] :
( ! [U_3048] :
( k1_funct_1(U_3049,U_3048) = f3_s5_ordinal1(k2_ordinal1(U_3049,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(U_3049) = sK284
& U_3055 = f3_s5_ordinal1(U_3049)
& v5_ordinal1(U_3049)
& v1_funct_1(U_3049)
& v1_relat_1(U_3049) ) )
| ( ! [U_3047] :
( ? [U_3046] :
( k1_funct_1(U_3047,U_3046) != f3_s5_ordinal1(k2_ordinal1(U_3047,U_3046))
& r2_hidden(U_3046,sK284)
& v3_ordinal1(U_3046) )
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& sK285 = f2_s5_ordinal1(sK284) ) )
& v3_ordinal1(sK284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK285]),skolemize(U_3054,sK285)],[f_1091_4]) ).
fof(f_1091_6,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ( ( ? [U_3055] :
( U_3055 != f2_s5_ordinal1(sK284)
& ? [U_3049] :
( ! [U_3048] :
( k1_funct_1(U_3049,U_3048) = f3_s5_ordinal1(k2_ordinal1(U_3049,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(U_3049) = sK284
& U_3055 = f3_s5_ordinal1(U_3049)
& v5_ordinal1(U_3049)
& v1_funct_1(U_3049)
& v1_relat_1(U_3049) ) )
| ( ! [U_3047] :
( ( k1_funct_1(U_3047,sK286(U_3047)) != f3_s5_ordinal1(k2_ordinal1(U_3047,sK286(U_3047)))
& r2_hidden(sK286(U_3047),sK284)
& v3_ordinal1(sK286(U_3047)) )
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& sK285 = f2_s5_ordinal1(sK284) ) )
& v3_ordinal1(sK284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK286]),skolemize(U_3046,sK286(U_3047))],[f_1091_5]) ).
fof(f_1091_7,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ( ( ( sK287 != f2_s5_ordinal1(sK284)
& ? [U_3049] :
( ! [U_3048] :
( k1_funct_1(U_3049,U_3048) = f3_s5_ordinal1(k2_ordinal1(U_3049,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(U_3049) = sK284
& sK287 = f3_s5_ordinal1(U_3049)
& v5_ordinal1(U_3049)
& v1_funct_1(U_3049)
& v1_relat_1(U_3049) ) )
| ( ! [U_3047] :
( ( k1_funct_1(U_3047,sK286(U_3047)) != f3_s5_ordinal1(k2_ordinal1(U_3047,sK286(U_3047)))
& r2_hidden(sK286(U_3047),sK284)
& v3_ordinal1(sK286(U_3047)) )
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& sK285 = f2_s5_ordinal1(sK284) ) )
& v3_ordinal1(sK284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK287]),skolemize(U_3055,sK287)],[f_1091_6]) ).
fof(f_1091_8,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ? [U_3052] :
( k1_funct_1(f1_s5_ordinal1,U_3052) != f2_s5_ordinal1(U_3052)
& r2_hidden(U_3052,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(U_3052) )
| ( ( ( sK287 != f2_s5_ordinal1(sK284)
& ! [U_3048] :
( k1_funct_1(sK288,U_3048) = f3_s5_ordinal1(k2_ordinal1(sK288,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(sK288) = sK284
& sK287 = f3_s5_ordinal1(sK288)
& v5_ordinal1(sK288)
& v1_funct_1(sK288)
& v1_relat_1(sK288) )
| ( ! [U_3047] :
( ( k1_funct_1(U_3047,sK286(U_3047)) != f3_s5_ordinal1(k2_ordinal1(U_3047,sK286(U_3047)))
& r2_hidden(sK286(U_3047),sK284)
& v3_ordinal1(sK286(U_3047)) )
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& sK285 = f2_s5_ordinal1(sK284) ) )
& v3_ordinal1(sK284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK288]),skolemize(U_3049,sK288)],[f_1091_7]) ).
fof(f_1091_9,plain,
( ! [U_3053] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053) )
| ( k1_funct_1(f1_s5_ordinal1,sK289) != f2_s5_ordinal1(sK289)
& r2_hidden(sK289,k1_relat_1(f1_s5_ordinal1))
& v3_ordinal1(sK289) )
| ( ( ( sK287 != f2_s5_ordinal1(sK284)
& ! [U_3048] :
( k1_funct_1(sK288,U_3048) = f3_s5_ordinal1(k2_ordinal1(sK288,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048) )
& k1_relat_1(sK288) = sK284
& sK287 = f3_s5_ordinal1(sK288)
& v5_ordinal1(sK288)
& v1_funct_1(sK288)
& v1_relat_1(sK288) )
| ( ! [U_3047] :
( ( k1_funct_1(U_3047,sK286(U_3047)) != f3_s5_ordinal1(k2_ordinal1(U_3047,sK286(U_3047)))
& r2_hidden(sK286(U_3047),sK284)
& v3_ordinal1(sK286(U_3047)) )
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047) )
& sK285 = f2_s5_ordinal1(sK284) ) )
& v3_ordinal1(sK284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK289]),skolemize(U_3052,sK289)],[f_1091_8]) ).
fof(f_1091_10,plain,
( ( k1_funct_1(f1_s5_ordinal1,sK289) != f2_s5_ordinal1(sK289)
| ~ sP417 )
& ( r2_hidden(sK289,k1_relat_1(f1_s5_ordinal1))
| ~ sP417 )
& ( v3_ordinal1(sK289)
| ~ sP417 )
& ! [U_3048] :
( sK287 != f2_s5_ordinal1(sK284)
| ~ sP415(U_3048) )
& ! [U_3048] :
( k1_funct_1(sK288,U_3048) = f3_s5_ordinal1(k2_ordinal1(sK288,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048)
| ~ sP415(U_3048) )
& ! [U_3048] :
( k1_relat_1(sK288) = sK284
| ~ sP415(U_3048) )
& ! [U_3048] :
( sK287 = f3_s5_ordinal1(sK288)
| ~ sP415(U_3048) )
& ! [U_3048] :
( v5_ordinal1(sK288)
| ~ sP415(U_3048) )
& ! [U_3048] :
( v1_funct_1(sK288)
| ~ sP415(U_3048) )
& ! [U_3048] :
( v1_relat_1(sK288)
| ~ sP415(U_3048) )
& ! [U_3047] :
( k1_funct_1(U_3047,sK286(U_3047)) != f3_s5_ordinal1(k2_ordinal1(U_3047,sK286(U_3047)))
| ~ sP413(U_3047) )
& ! [U_3047] :
( r2_hidden(sK286(U_3047),sK284)
| ~ sP413(U_3047) )
& ! [U_3047] :
( v3_ordinal1(sK286(U_3047))
| ~ sP413(U_3047) )
& ! [U_3047] :
( sP413(U_3047)
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047)
| ~ sP414(U_3047) )
& ! [U_3047] :
( sK285 = f2_s5_ordinal1(sK284)
| ~ sP414(U_3047) )
& ! [U_3047,U_3048] :
( sP415(U_3048)
| sP414(U_3047)
| ~ sP416(U_3047,U_3048) )
& ! [U_3047,U_3048] :
( v3_ordinal1(sK284)
| ~ sP416(U_3047,U_3048) )
& ! [U_3053,U_3047,U_3048] :
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053)
| sP417
| sP416(U_3047,U_3048) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP413,sP414,sP415,sP416,sP417])],[f_1091_9]) ).
cnf(f_1091_11,plain,
( k1_funct_1(f1_s5_ordinal1,U_3053) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,U_3053))
| ~ r2_hidden(U_3053,k1_relat_1(f1_s5_ordinal1))
| ~ v3_ordinal1(U_3053)
| sP417
| sP416(U_3047,U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_12,plain,
( v3_ordinal1(sK284)
| ~ sP416(U_3047,U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_13,plain,
( sP415(U_3048)
| sP414(U_3047)
| ~ sP416(U_3047,U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_14,plain,
( sK285 = f2_s5_ordinal1(sK284)
| ~ sP414(U_3047) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_15,plain,
( sP413(U_3047)
| k1_relat_1(U_3047) != sK284
| sK285 != f3_s5_ordinal1(U_3047)
| ~ v5_ordinal1(U_3047)
| ~ v1_funct_1(U_3047)
| ~ v1_relat_1(U_3047)
| ~ sP414(U_3047) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_16,plain,
( v3_ordinal1(sK286(U_3047))
| ~ sP413(U_3047) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_17,plain,
( r2_hidden(sK286(U_3047),sK284)
| ~ sP413(U_3047) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_18,plain,
( k1_funct_1(U_3047,sK286(U_3047)) != f3_s5_ordinal1(k2_ordinal1(U_3047,sK286(U_3047)))
| ~ sP413(U_3047) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_19,plain,
( v1_relat_1(sK288)
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_20,plain,
( v1_funct_1(sK288)
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_21,plain,
( v5_ordinal1(sK288)
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_22,plain,
( sK287 = f3_s5_ordinal1(sK288)
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_23,plain,
( k1_relat_1(sK288) = sK284
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_24,plain,
( k1_funct_1(sK288,U_3048) = f3_s5_ordinal1(k2_ordinal1(sK288,U_3048))
| ~ r2_hidden(U_3048,sK284)
| ~ v3_ordinal1(U_3048)
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_25,plain,
( sK287 != f2_s5_ordinal1(sK284)
| ~ sP415(U_3048) ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_26,plain,
( v3_ordinal1(sK289)
| ~ sP417 ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_27,plain,
( r2_hidden(sK289,k1_relat_1(f1_s5_ordinal1))
| ~ sP417 ),
inference(clausify,[status(thm)],[f_1091_10]) ).
cnf(f_1091_28,plain,
( k1_funct_1(f1_s5_ordinal1,sK289) != f2_s5_ordinal1(sK289)
| ~ sP417 ),
inference(clausify,[status(thm)],[f_1091_10]) ).
fof(f_1092_1,plain,
! [A,B] :
( ( v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
| ~ m1_ordinal1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_m1_ordinal1]) ).
fof(f_1092_2,plain,
! [U_3057,U_3056] :
( ( v5_ordinal1(U_3056)
& v1_funct_1(U_3056)
& v1_relat_1(U_3056) )
| ~ m1_ordinal1(U_3056,U_3057) ),
inference(variable_rename,[status(thm)],[f_1092_1]) ).
fof(f_1092_3,plain,
( ! [U_3056] :
( v5_ordinal1(U_3056)
| ~ sP418(U_3056) )
& ! [U_3056] :
( v1_funct_1(U_3056)
| ~ sP418(U_3056) )
& ! [U_3056] :
( v1_relat_1(U_3056)
| ~ sP418(U_3056) )
& ! [U_3056,U_3057] :
( sP418(U_3056)
| ~ m1_ordinal1(U_3056,U_3057) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP418])],[f_1092_2]) ).
cnf(f_1092_4,plain,
( sP418(U_3056)
| ~ m1_ordinal1(U_3056,U_3057) ),
inference(clausify,[status(thm)],[f_1092_3]) ).
cnf(f_1092_5,plain,
( v1_relat_1(U_3056)
| ~ sP418(U_3056) ),
inference(clausify,[status(thm)],[f_1092_3]) ).
cnf(f_1092_6,plain,
( v1_funct_1(U_3056)
| ~ sP418(U_3056) ),
inference(clausify,[status(thm)],[f_1092_3]) ).
cnf(f_1092_7,plain,
( v5_ordinal1(U_3056)
| ~ sP418(U_3056) ),
inference(clausify,[status(thm)],[f_1092_3]) ).
fof(f_1093_1,plain,
! [A] :
? [B] : m1_ordinal1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_ordinal1]) ).
fof(f_1093_2,plain,
! [U_3059] :
? [U_3058] : m1_ordinal1(U_3058,U_3059),
inference(variable_rename,[status(thm)],[f_1093_1]) ).
fof(f_1093_3,plain,
! [U_3059] : m1_ordinal1(sK290(U_3059),U_3059),
inference(skolemize,[status(esa),new_symbols(skolem,[sK290]),skolemize(U_3058,sK290(U_3059))],[f_1093_2]) ).
fof(f_1093_4,plain,
! [U_3059] : m1_ordinal1(sK290(U_3059),U_3059),
inference(definitional_conversion,[status(esa)],[f_1093_3]) ).
cnf(f_1093_5,plain,
m1_ordinal1(sK290(U_3059),U_3059),
inference(clausify,[status(thm)],[f_1093_4]) ).
fof(f_1094_1,plain,
! [A,B] :
( r1_ordinal1(A,A)
| ~ v3_ordinal1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r1_ordinal1]) ).
fof(f_1094_2,plain,
! [U_3061,U_3060] :
( r1_ordinal1(U_3061,U_3061)
| ~ v3_ordinal1(U_3060)
| ~ v3_ordinal1(U_3061) ),
inference(variable_rename,[status(thm)],[f_1094_1]) ).
fof(f_1094_3,plain,
! [U_3061] :
( ! [U_3060] : ~ v3_ordinal1(U_3060)
| ~ v3_ordinal1(U_3061)
| r1_ordinal1(U_3061,U_3061) ),
inference(miniscope,[status(thm)],[f_1094_2]) ).
fof(f_1094_4,plain,
! [U_3061,U_3060] :
( ~ v3_ordinal1(U_3060)
| ~ v3_ordinal1(U_3061)
| r1_ordinal1(U_3061,U_3061) ),
inference(definitional_conversion,[status(esa)],[f_1094_3]) ).
cnf(f_1094_5,plain,
( ~ v3_ordinal1(U_3060)
| ~ v3_ordinal1(U_3061)
| r1_ordinal1(U_3061,U_3061) ),
inference(clausify,[status(thm)],[f_1094_4]) ).
fof(f_1095_1,plain,
! [A,B] :
( r1_ordinal1(B,A)
| r1_ordinal1(A,B)
| ~ v3_ordinal1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1]) ).
fof(f_1095_2,plain,
! [U_3063,U_3062] :
( r1_ordinal1(U_3062,U_3063)
| r1_ordinal1(U_3063,U_3062)
| ~ v3_ordinal1(U_3062)
| ~ v3_ordinal1(U_3063) ),
inference(variable_rename,[status(thm)],[f_1095_1]) ).
fof(f_1095_3,plain,
! [U_3062,U_3063] :
( r1_ordinal1(U_3062,U_3063)
| r1_ordinal1(U_3063,U_3062)
| ~ v3_ordinal1(U_3062)
| ~ v3_ordinal1(U_3063) ),
inference(definitional_conversion,[status(esa)],[f_1095_2]) ).
cnf(f_1095_4,plain,
( r1_ordinal1(U_3062,U_3063)
| r1_ordinal1(U_3063,U_3062)
| ~ v3_ordinal1(U_3062)
| ~ v3_ordinal1(U_3063) ),
inference(clausify,[status(thm)],[f_1095_3]) ).
fof(f_1096_1,plain,
! [A,B] :
( ( ( r1_ordinal1(A,B)
| ~ r1_tarski(A,B) )
& ( r1_tarski(A,B)
| ~ r1_ordinal1(A,B) ) )
| ~ v3_ordinal1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1]) ).
fof(f_1096_2,plain,
! [U_3065,U_3064] :
( ( ( r1_ordinal1(U_3065,U_3064)
| ~ r1_tarski(U_3065,U_3064) )
& ( r1_tarski(U_3065,U_3064)
| ~ r1_ordinal1(U_3065,U_3064) ) )
| ~ v3_ordinal1(U_3064)
| ~ v3_ordinal1(U_3065) ),
inference(variable_rename,[status(thm)],[f_1096_1]) ).
fof(f_1096_3,plain,
( ! [U_3065,U_3064] :
( r1_ordinal1(U_3065,U_3064)
| ~ r1_tarski(U_3065,U_3064)
| ~ sP419(U_3065,U_3064) )
& ! [U_3065,U_3064] :
( r1_tarski(U_3065,U_3064)
| ~ r1_ordinal1(U_3065,U_3064)
| ~ sP419(U_3065,U_3064) )
& ! [U_3065,U_3064] :
( sP419(U_3065,U_3064)
| ~ v3_ordinal1(U_3064)
| ~ v3_ordinal1(U_3065) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP419])],[f_1096_2]) ).
cnf(f_1096_4,plain,
( sP419(U_3065,U_3064)
| ~ v3_ordinal1(U_3064)
| ~ v3_ordinal1(U_3065) ),
inference(clausify,[status(thm)],[f_1096_3]) ).
cnf(f_1096_5,plain,
( r1_tarski(U_3065,U_3064)
| ~ r1_ordinal1(U_3065,U_3064)
| ~ sP419(U_3065,U_3064) ),
inference(clausify,[status(thm)],[f_1096_3]) ).
cnf(f_1096_6,plain,
( r1_ordinal1(U_3065,U_3064)
| ~ r1_tarski(U_3065,U_3064)
| ~ sP419(U_3065,U_3064) ),
inference(clausify,[status(thm)],[f_1096_3]) ).
fof(f_1097_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_ordinal1]) ).
fof(f_1097_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1097_1]) ).
cnf(f_1097_3,plain,
$true,
inference(clausify,[status(thm)],[f_1097_2]) ).
fof(f_1098_1,plain,
! [A,B] :
( m1_ordinal1(k2_ordinal1(A,B),k2_relat_1(A))
| ~ v3_ordinal1(B)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_ordinal1]) ).
fof(f_1098_2,plain,
! [U_3067,U_3066] :
( m1_ordinal1(k2_ordinal1(U_3067,U_3066),k2_relat_1(U_3067))
| ~ v3_ordinal1(U_3066)
| ~ v5_ordinal1(U_3067)
| ~ v1_funct_1(U_3067)
| ~ v1_relat_1(U_3067) ),
inference(variable_rename,[status(thm)],[f_1098_1]) ).
fof(f_1098_3,plain,
! [U_3067,U_3066] :
( m1_ordinal1(k2_ordinal1(U_3067,U_3066),k2_relat_1(U_3067))
| ~ v3_ordinal1(U_3066)
| ~ v5_ordinal1(U_3067)
| ~ v1_funct_1(U_3067)
| ~ v1_relat_1(U_3067) ),
inference(definitional_conversion,[status(esa)],[f_1098_2]) ).
cnf(f_1098_4,plain,
( m1_ordinal1(k2_ordinal1(U_3067,U_3066),k2_relat_1(U_3067))
| ~ v3_ordinal1(U_3066)
| ~ v5_ordinal1(U_3067)
| ~ v1_funct_1(U_3067)
| ~ v1_relat_1(U_3067) ),
inference(clausify,[status(thm)],[f_1098_3]) ).
fof(f_1099_1,plain,
! [A,B] :
( k2_ordinal1(A,B) = k7_relat_1(A,B)
| ~ v3_ordinal1(B)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k2_ordinal1]) ).
fof(f_1099_2,plain,
! [U_3069,U_3068] :
( k2_ordinal1(U_3069,U_3068) = k7_relat_1(U_3069,U_3068)
| ~ v3_ordinal1(U_3068)
| ~ v5_ordinal1(U_3069)
| ~ v1_funct_1(U_3069)
| ~ v1_relat_1(U_3069) ),
inference(variable_rename,[status(thm)],[f_1099_1]) ).
fof(f_1099_3,plain,
! [U_3068,U_3069] :
( k2_ordinal1(U_3069,U_3068) = k7_relat_1(U_3069,U_3068)
| ~ v3_ordinal1(U_3068)
| ~ v5_ordinal1(U_3069)
| ~ v1_funct_1(U_3069)
| ~ v1_relat_1(U_3069) ),
inference(definitional_conversion,[status(esa)],[f_1099_2]) ).
cnf(f_1099_4,plain,
( k2_ordinal1(U_3069,U_3068) = k7_relat_1(U_3069,U_3068)
| ~ v3_ordinal1(U_3068)
| ~ v5_ordinal1(U_3069)
| ~ v1_funct_1(U_3069)
| ~ v1_relat_1(U_3069) ),
inference(clausify,[status(thm)],[f_1099_3]) ).
fof(f_1100_1,plain,
! [A,B,C] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(fof_nnf,[status(thm)],[cc1_relset_1]) ).
fof(f_1100_2,plain,
! [U_3072,U_3071,U_3070] :
( v1_relat_1(U_3070)
| ~ m1_subset_1(U_3070,k1_zfmisc_1(k2_zfmisc_1(U_3072,U_3071))) ),
inference(variable_rename,[status(thm)],[f_1100_1]) ).
fof(f_1100_3,plain,
! [U_3072,U_3071,U_3070] :
( v1_relat_1(U_3070)
| ~ m1_subset_1(U_3070,k1_zfmisc_1(k2_zfmisc_1(U_3072,U_3071))) ),
inference(definitional_conversion,[status(esa)],[f_1100_2]) ).
cnf(f_1100_4,plain,
( v1_relat_1(U_3070)
| ~ m1_subset_1(U_3070,k1_zfmisc_1(k2_zfmisc_1(U_3072,U_3071))) ),
inference(clausify,[status(thm)],[f_1100_3]) ).
fof(f_1101_1,plain,
! [A,B,C] :
( ( m1_relset_1(C,A,B)
| ~ r1_tarski(C,k2_zfmisc_1(A,B)) )
& ( r1_tarski(C,k2_zfmisc_1(A,B))
| ~ m1_relset_1(C,A,B) ) ),
inference(fof_nnf,[status(thm)],[d1_relset_1]) ).
fof(f_1101_2,plain,
! [U_3075,U_3074,U_3073] :
( ( m1_relset_1(U_3073,U_3075,U_3074)
| ~ r1_tarski(U_3073,k2_zfmisc_1(U_3075,U_3074)) )
& ( r1_tarski(U_3073,k2_zfmisc_1(U_3075,U_3074))
| ~ m1_relset_1(U_3073,U_3075,U_3074) ) ),
inference(variable_rename,[status(thm)],[f_1101_1]) ).
fof(f_1101_3,plain,
( ! [U_3081,U_3079,U_3077] :
( m1_relset_1(U_3077,U_3081,U_3079)
| ~ r1_tarski(U_3077,k2_zfmisc_1(U_3081,U_3079)) )
& ! [U_3080,U_3078,U_3076] :
( r1_tarski(U_3076,k2_zfmisc_1(U_3080,U_3078))
| ~ m1_relset_1(U_3076,U_3080,U_3078) ) ),
inference(miniscope,[status(thm)],[f_1101_2]) ).
fof(f_1101_4,plain,
( ! [U_3079,U_3077,U_3081] :
( m1_relset_1(U_3077,U_3081,U_3079)
| ~ r1_tarski(U_3077,k2_zfmisc_1(U_3081,U_3079)) )
& ! [U_3076,U_3078,U_3080] :
( r1_tarski(U_3076,k2_zfmisc_1(U_3080,U_3078))
| ~ m1_relset_1(U_3076,U_3080,U_3078) ) ),
inference(definitional_conversion,[status(esa)],[f_1101_3]) ).
cnf(f_1101_5,plain,
( r1_tarski(U_3076,k2_zfmisc_1(U_3080,U_3078))
| ~ m1_relset_1(U_3076,U_3080,U_3078) ),
inference(clausify,[status(thm)],[f_1101_4]) ).
cnf(f_1101_6,plain,
( m1_relset_1(U_3077,U_3081,U_3079)
| ~ r1_tarski(U_3077,k2_zfmisc_1(U_3081,U_3079)) ),
inference(clausify,[status(thm)],[f_1101_4]) ).
fof(f_1102_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_relset_1]) ).
fof(f_1102_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1102_1]) ).
cnf(f_1102_3,plain,
$true,
inference(clausify,[status(thm)],[f_1102_2]) ).
fof(f_1103_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_relset_1]) ).
fof(f_1103_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1103_1]) ).
cnf(f_1103_3,plain,
$true,
inference(clausify,[status(thm)],[f_1103_2]) ).
fof(f_1104_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_relset_1]) ).
fof(f_1104_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1104_1]) ).
cnf(f_1104_3,plain,
$true,
inference(clausify,[status(thm)],[f_1104_2]) ).
fof(f_1105_1,plain,
! [A,B,C,D] :
( m2_relset_1(A,B,C)
| ~ r1_tarski(A,D)
| ~ m2_relset_1(D,B,C) ),
inference(fof_nnf,[status(thm)],[t4_relset_1]) ).
fof(f_1105_2,plain,
! [U_3085,U_3084,U_3083,U_3082] :
( m2_relset_1(U_3085,U_3084,U_3083)
| ~ r1_tarski(U_3085,U_3082)
| ~ m2_relset_1(U_3082,U_3084,U_3083) ),
inference(variable_rename,[status(thm)],[f_1105_1]) ).
fof(f_1105_3,plain,
! [U_3084,U_3085,U_3083,U_3082] :
( m2_relset_1(U_3085,U_3084,U_3083)
| ~ r1_tarski(U_3085,U_3082)
| ~ m2_relset_1(U_3082,U_3084,U_3083) ),
inference(definitional_conversion,[status(esa)],[f_1105_2]) ).
cnf(f_1105_4,plain,
( m2_relset_1(U_3085,U_3084,U_3083)
| ~ r1_tarski(U_3085,U_3082)
| ~ m2_relset_1(U_3082,U_3084,U_3083) ),
inference(clausify,[status(thm)],[f_1105_3]) ).
fof(f_1106_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_relset_1]) ).
fof(f_1106_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1106_1]) ).
cnf(f_1106_3,plain,
$true,
inference(clausify,[status(thm)],[f_1106_2]) ).
fof(f_1107_1,plain,
! [A,B,C,D] :
( ? [E,F] :
( r2_hidden(F,B)
& r2_hidden(E,A)
& C = k4_tarski(E,F) )
| ~ r2_hidden(C,D)
| ~ m2_relset_1(D,A,B) ),
inference(fof_nnf,[status(thm)],[t6_relset_1]) ).
fof(f_1107_2,plain,
! [U_3091,U_3090,U_3089,U_3088] :
( ? [U_3087,U_3086] :
( r2_hidden(U_3086,U_3090)
& r2_hidden(U_3087,U_3091)
& U_3089 = k4_tarski(U_3087,U_3086) )
| ~ r2_hidden(U_3089,U_3088)
| ~ m2_relset_1(U_3088,U_3091,U_3090) ),
inference(variable_rename,[status(thm)],[f_1107_1]) ).
fof(f_1107_3,plain,
! [U_3091,U_3090,U_3089,U_3088] :
( ? [U_3087] :
( ? [U_3086] :
( r2_hidden(U_3086,U_3090)
& U_3089 = k4_tarski(U_3087,U_3086) )
& r2_hidden(U_3087,U_3091) )
| ~ r2_hidden(U_3089,U_3088)
| ~ m2_relset_1(U_3088,U_3091,U_3090) ),
inference(miniscope,[status(thm)],[f_1107_2]) ).
fof(f_1107_4,plain,
! [U_3091,U_3090,U_3089,U_3088] :
( ( ? [U_3086] :
( r2_hidden(U_3086,U_3090)
& U_3089 = k4_tarski(sK291(U_3091,U_3090,U_3089,U_3088),U_3086) )
& r2_hidden(sK291(U_3091,U_3090,U_3089,U_3088),U_3091) )
| ~ r2_hidden(U_3089,U_3088)
| ~ m2_relset_1(U_3088,U_3091,U_3090) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK291]),skolemize(U_3087,sK291(U_3091,U_3090,U_3089,U_3088))],[f_1107_3]) ).
fof(f_1107_5,plain,
! [U_3091,U_3090,U_3089,U_3088] :
( ( r2_hidden(sK292(U_3091,U_3090,U_3089,U_3088),U_3090)
& U_3089 = k4_tarski(sK291(U_3091,U_3090,U_3089,U_3088),sK292(U_3091,U_3090,U_3089,U_3088))
& r2_hidden(sK291(U_3091,U_3090,U_3089,U_3088),U_3091) )
| ~ r2_hidden(U_3089,U_3088)
| ~ m2_relset_1(U_3088,U_3091,U_3090) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK292]),skolemize(U_3086,sK292(U_3091,U_3090,U_3089,U_3088))],[f_1107_4]) ).
fof(f_1107_6,plain,
( ! [U_3088,U_3089,U_3090,U_3091] :
( r2_hidden(sK292(U_3091,U_3090,U_3089,U_3088),U_3090)
| ~ sP420(U_3088,U_3089,U_3090,U_3091) )
& ! [U_3088,U_3089,U_3090,U_3091] :
( U_3089 = k4_tarski(sK291(U_3091,U_3090,U_3089,U_3088),sK292(U_3091,U_3090,U_3089,U_3088))
| ~ sP420(U_3088,U_3089,U_3090,U_3091) )
& ! [U_3088,U_3089,U_3090,U_3091] :
( r2_hidden(sK291(U_3091,U_3090,U_3089,U_3088),U_3091)
| ~ sP420(U_3088,U_3089,U_3090,U_3091) )
& ! [U_3088,U_3089,U_3090,U_3091] :
( sP420(U_3088,U_3089,U_3090,U_3091)
| ~ r2_hidden(U_3089,U_3088)
| ~ m2_relset_1(U_3088,U_3091,U_3090) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP420])],[f_1107_5]) ).
cnf(f_1107_7,plain,
( sP420(U_3088,U_3089,U_3090,U_3091)
| ~ r2_hidden(U_3089,U_3088)
| ~ m2_relset_1(U_3088,U_3091,U_3090) ),
inference(clausify,[status(thm)],[f_1107_6]) ).
cnf(f_1107_8,plain,
( r2_hidden(sK291(U_3091,U_3090,U_3089,U_3088),U_3091)
| ~ sP420(U_3088,U_3089,U_3090,U_3091) ),
inference(clausify,[status(thm)],[f_1107_6]) ).
cnf(f_1107_9,plain,
( U_3089 = k4_tarski(sK291(U_3091,U_3090,U_3089,U_3088),sK292(U_3091,U_3090,U_3089,U_3088))
| ~ sP420(U_3088,U_3089,U_3090,U_3091) ),
inference(clausify,[status(thm)],[f_1107_6]) ).
cnf(f_1107_10,plain,
( r2_hidden(sK292(U_3091,U_3090,U_3089,U_3088),U_3090)
| ~ sP420(U_3088,U_3089,U_3090,U_3091) ),
inference(clausify,[status(thm)],[f_1107_6]) ).
fof(f_1108_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_relset_1]) ).
fof(f_1108_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1108_1]) ).
cnf(f_1108_3,plain,
$true,
inference(clausify,[status(thm)],[f_1108_2]) ).
fof(f_1109_1,plain,
! [A,B,C,D] :
( m2_relset_1(k1_tarski(k4_tarski(C,D)),A,B)
| ~ r2_hidden(D,B)
| ~ r2_hidden(C,A) ),
inference(fof_nnf,[status(thm)],[t8_relset_1]) ).
fof(f_1109_2,plain,
! [U_3095,U_3094,U_3093,U_3092] :
( m2_relset_1(k1_tarski(k4_tarski(U_3093,U_3092)),U_3095,U_3094)
| ~ r2_hidden(U_3092,U_3094)
| ~ r2_hidden(U_3093,U_3095) ),
inference(variable_rename,[status(thm)],[f_1109_1]) ).
fof(f_1109_3,plain,
! [U_3095,U_3092,U_3093,U_3094] :
( m2_relset_1(k1_tarski(k4_tarski(U_3093,U_3092)),U_3095,U_3094)
| ~ r2_hidden(U_3092,U_3094)
| ~ r2_hidden(U_3093,U_3095) ),
inference(definitional_conversion,[status(esa)],[f_1109_2]) ).
cnf(f_1109_4,plain,
( m2_relset_1(k1_tarski(k4_tarski(U_3093,U_3092)),U_3095,U_3094)
| ~ r2_hidden(U_3092,U_3094)
| ~ r2_hidden(U_3093,U_3095) ),
inference(clausify,[status(thm)],[f_1109_3]) ).
fof(f_1110_1,plain,
! [A,B] :
( m2_relset_1(B,A,k2_relat_1(B))
| ~ r1_tarski(k1_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t9_relset_1]) ).
fof(f_1110_2,plain,
! [U_3097,U_3096] :
( m2_relset_1(U_3096,U_3097,k2_relat_1(U_3096))
| ~ r1_tarski(k1_relat_1(U_3096),U_3097)
| ~ v1_relat_1(U_3096) ),
inference(variable_rename,[status(thm)],[f_1110_1]) ).
fof(f_1110_3,plain,
! [U_3096,U_3097] :
( m2_relset_1(U_3096,U_3097,k2_relat_1(U_3096))
| ~ r1_tarski(k1_relat_1(U_3096),U_3097)
| ~ v1_relat_1(U_3096) ),
inference(definitional_conversion,[status(esa)],[f_1110_2]) ).
cnf(f_1110_4,plain,
( m2_relset_1(U_3096,U_3097,k2_relat_1(U_3096))
| ~ r1_tarski(k1_relat_1(U_3096),U_3097)
| ~ v1_relat_1(U_3096) ),
inference(clausify,[status(thm)],[f_1110_3]) ).
fof(f_1111_1,plain,
! [A,B] :
( m2_relset_1(B,k1_relat_1(B),A)
| ~ r1_tarski(k2_relat_1(B),A)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t10_relset_1]) ).
fof(f_1111_2,plain,
! [U_3099,U_3098] :
( m2_relset_1(U_3098,k1_relat_1(U_3098),U_3099)
| ~ r1_tarski(k2_relat_1(U_3098),U_3099)
| ~ v1_relat_1(U_3098) ),
inference(variable_rename,[status(thm)],[f_1111_1]) ).
fof(f_1111_3,plain,
! [U_3099,U_3098] :
( m2_relset_1(U_3098,k1_relat_1(U_3098),U_3099)
| ~ r1_tarski(k2_relat_1(U_3098),U_3099)
| ~ v1_relat_1(U_3098) ),
inference(definitional_conversion,[status(esa)],[f_1111_2]) ).
cnf(f_1111_4,plain,
( m2_relset_1(U_3098,k1_relat_1(U_3098),U_3099)
| ~ r1_tarski(k2_relat_1(U_3098),U_3099)
| ~ v1_relat_1(U_3098) ),
inference(clausify,[status(thm)],[f_1111_3]) ).
fof(f_1112_1,plain,
! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ r1_tarski(k2_relat_1(C),B)
| ~ r1_tarski(k1_relat_1(C),A)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t11_relset_1]) ).
fof(f_1112_2,plain,
! [U_3102,U_3101,U_3100] :
( m2_relset_1(U_3100,U_3102,U_3101)
| ~ r1_tarski(k2_relat_1(U_3100),U_3101)
| ~ r1_tarski(k1_relat_1(U_3100),U_3102)
| ~ v1_relat_1(U_3100) ),
inference(variable_rename,[status(thm)],[f_1112_1]) ).
fof(f_1112_3,plain,
! [U_3101,U_3102,U_3100] :
( m2_relset_1(U_3100,U_3102,U_3101)
| ~ r1_tarski(k2_relat_1(U_3100),U_3101)
| ~ r1_tarski(k1_relat_1(U_3100),U_3102)
| ~ v1_relat_1(U_3100) ),
inference(definitional_conversion,[status(esa)],[f_1112_2]) ).
cnf(f_1112_4,plain,
( m2_relset_1(U_3100,U_3102,U_3101)
| ~ r1_tarski(k2_relat_1(U_3100),U_3101)
| ~ r1_tarski(k1_relat_1(U_3100),U_3102)
| ~ v1_relat_1(U_3100) ),
inference(clausify,[status(thm)],[f_1112_3]) ).
fof(f_1113_1,plain,
! [A,B,C] :
( ( r1_tarski(k2_relat_1(C),B)
& r1_tarski(k1_relat_1(C),A) )
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t12_relset_1]) ).
fof(f_1113_2,plain,
! [U_3105,U_3104,U_3103] :
( ( r1_tarski(k2_relat_1(U_3103),U_3104)
& r1_tarski(k1_relat_1(U_3103),U_3105) )
| ~ m2_relset_1(U_3103,U_3105,U_3104) ),
inference(variable_rename,[status(thm)],[f_1113_1]) ).
fof(f_1113_3,plain,
( ! [U_3105,U_3104,U_3103] :
( r1_tarski(k2_relat_1(U_3103),U_3104)
| ~ sP421(U_3105,U_3104,U_3103) )
& ! [U_3105,U_3104,U_3103] :
( r1_tarski(k1_relat_1(U_3103),U_3105)
| ~ sP421(U_3105,U_3104,U_3103) )
& ! [U_3105,U_3104,U_3103] :
( sP421(U_3105,U_3104,U_3103)
| ~ m2_relset_1(U_3103,U_3105,U_3104) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP421])],[f_1113_2]) ).
cnf(f_1113_4,plain,
( sP421(U_3105,U_3104,U_3103)
| ~ m2_relset_1(U_3103,U_3105,U_3104) ),
inference(clausify,[status(thm)],[f_1113_3]) ).
cnf(f_1113_5,plain,
( r1_tarski(k1_relat_1(U_3103),U_3105)
| ~ sP421(U_3105,U_3104,U_3103) ),
inference(clausify,[status(thm)],[f_1113_3]) ).
cnf(f_1113_6,plain,
( r1_tarski(k2_relat_1(U_3103),U_3104)
| ~ sP421(U_3105,U_3104,U_3103) ),
inference(clausify,[status(thm)],[f_1113_3]) ).
fof(f_1114_1,plain,
! [A,B,C,D] :
( m2_relset_1(D,B,C)
| ~ r1_tarski(k1_relat_1(D),B)
| ~ m2_relset_1(D,A,C) ),
inference(fof_nnf,[status(thm)],[t13_relset_1]) ).
fof(f_1114_2,plain,
! [U_3109,U_3108,U_3107,U_3106] :
( m2_relset_1(U_3106,U_3108,U_3107)
| ~ r1_tarski(k1_relat_1(U_3106),U_3108)
| ~ m2_relset_1(U_3106,U_3109,U_3107) ),
inference(variable_rename,[status(thm)],[f_1114_1]) ).
fof(f_1114_3,plain,
! [U_3108,U_3107,U_3106,U_3109] :
( m2_relset_1(U_3106,U_3108,U_3107)
| ~ r1_tarski(k1_relat_1(U_3106),U_3108)
| ~ m2_relset_1(U_3106,U_3109,U_3107) ),
inference(definitional_conversion,[status(esa)],[f_1114_2]) ).
cnf(f_1114_4,plain,
( m2_relset_1(U_3106,U_3108,U_3107)
| ~ r1_tarski(k1_relat_1(U_3106),U_3108)
| ~ m2_relset_1(U_3106,U_3109,U_3107) ),
inference(clausify,[status(thm)],[f_1114_3]) ).
fof(f_1115_1,plain,
! [A,B,C,D] :
( m2_relset_1(D,C,B)
| ~ r1_tarski(k2_relat_1(D),B)
| ~ m2_relset_1(D,C,A) ),
inference(fof_nnf,[status(thm)],[t14_relset_1]) ).
fof(f_1115_2,plain,
! [U_3113,U_3112,U_3111,U_3110] :
( m2_relset_1(U_3110,U_3111,U_3112)
| ~ r1_tarski(k2_relat_1(U_3110),U_3112)
| ~ m2_relset_1(U_3110,U_3111,U_3113) ),
inference(variable_rename,[status(thm)],[f_1115_1]) ).
fof(f_1115_3,plain,
! [U_3110,U_3113,U_3111,U_3112] :
( m2_relset_1(U_3110,U_3111,U_3112)
| ~ r1_tarski(k2_relat_1(U_3110),U_3112)
| ~ m2_relset_1(U_3110,U_3111,U_3113) ),
inference(definitional_conversion,[status(esa)],[f_1115_2]) ).
cnf(f_1115_4,plain,
( m2_relset_1(U_3110,U_3111,U_3112)
| ~ r1_tarski(k2_relat_1(U_3110),U_3112)
| ~ m2_relset_1(U_3110,U_3111,U_3113) ),
inference(clausify,[status(thm)],[f_1115_3]) ).
fof(f_1116_1,plain,
! [A,B,C,D] :
( m2_relset_1(D,B,C)
| ~ r1_tarski(A,B)
| ~ m2_relset_1(D,A,C) ),
inference(fof_nnf,[status(thm)],[t15_relset_1]) ).
fof(f_1116_2,plain,
! [U_3117,U_3116,U_3115,U_3114] :
( m2_relset_1(U_3114,U_3116,U_3115)
| ~ r1_tarski(U_3117,U_3116)
| ~ m2_relset_1(U_3114,U_3117,U_3115) ),
inference(variable_rename,[status(thm)],[f_1116_1]) ).
fof(f_1116_3,plain,
! [U_3116,U_3115,U_3114,U_3117] :
( m2_relset_1(U_3114,U_3116,U_3115)
| ~ r1_tarski(U_3117,U_3116)
| ~ m2_relset_1(U_3114,U_3117,U_3115) ),
inference(definitional_conversion,[status(esa)],[f_1116_2]) ).
cnf(f_1116_4,plain,
( m2_relset_1(U_3114,U_3116,U_3115)
| ~ r1_tarski(U_3117,U_3116)
| ~ m2_relset_1(U_3114,U_3117,U_3115) ),
inference(clausify,[status(thm)],[f_1116_3]) ).
fof(f_1117_1,plain,
! [A,B,C,D] :
( m2_relset_1(D,C,B)
| ~ r1_tarski(A,B)
| ~ m2_relset_1(D,C,A) ),
inference(fof_nnf,[status(thm)],[t16_relset_1]) ).
fof(f_1117_2,plain,
! [U_3121,U_3120,U_3119,U_3118] :
( m2_relset_1(U_3118,U_3119,U_3120)
| ~ r1_tarski(U_3121,U_3120)
| ~ m2_relset_1(U_3118,U_3119,U_3121) ),
inference(variable_rename,[status(thm)],[f_1117_1]) ).
fof(f_1117_3,plain,
! [U_3121,U_3120,U_3119,U_3118] :
( m2_relset_1(U_3118,U_3119,U_3120)
| ~ r1_tarski(U_3121,U_3120)
| ~ m2_relset_1(U_3118,U_3119,U_3121) ),
inference(definitional_conversion,[status(esa)],[f_1117_2]) ).
cnf(f_1117_4,plain,
( m2_relset_1(U_3118,U_3119,U_3120)
| ~ r1_tarski(U_3121,U_3120)
| ~ m2_relset_1(U_3118,U_3119,U_3121) ),
inference(clausify,[status(thm)],[f_1117_3]) ).
fof(f_1118_1,plain,
! [A,B,C,D,E] :
( m2_relset_1(E,B,D)
| ~ r1_tarski(C,D)
| ~ r1_tarski(A,B)
| ~ m2_relset_1(E,A,C) ),
inference(fof_nnf,[status(thm)],[t17_relset_1]) ).
fof(f_1118_2,plain,
! [U_3126,U_3125,U_3124,U_3123,U_3122] :
( m2_relset_1(U_3122,U_3125,U_3123)
| ~ r1_tarski(U_3124,U_3123)
| ~ r1_tarski(U_3126,U_3125)
| ~ m2_relset_1(U_3122,U_3126,U_3124) ),
inference(variable_rename,[status(thm)],[f_1118_1]) ).
fof(f_1118_3,plain,
! [U_3123,U_3122,U_3124,U_3125,U_3126] :
( m2_relset_1(U_3122,U_3125,U_3123)
| ~ r1_tarski(U_3124,U_3123)
| ~ r1_tarski(U_3126,U_3125)
| ~ m2_relset_1(U_3122,U_3126,U_3124) ),
inference(definitional_conversion,[status(esa)],[f_1118_2]) ).
cnf(f_1118_4,plain,
( m2_relset_1(U_3122,U_3125,U_3123)
| ~ r1_tarski(U_3124,U_3123)
| ~ r1_tarski(U_3126,U_3125)
| ~ m2_relset_1(U_3122,U_3126,U_3124) ),
inference(clausify,[status(thm)],[f_1118_3]) ).
fof(f_1119_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_relset_1]) ).
fof(f_1119_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1119_1]) ).
cnf(f_1119_3,plain,
$true,
inference(clausify,[status(thm)],[f_1119_2]) ).
fof(f_1120_1,plain,
! [A,B,C] :
( r1_tarski(k3_relat_1(C),k2_xboole_0(A,B))
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t19_relset_1]) ).
fof(f_1120_2,plain,
! [U_3129,U_3128,U_3127] :
( r1_tarski(k3_relat_1(U_3127),k2_xboole_0(U_3129,U_3128))
| ~ m2_relset_1(U_3127,U_3129,U_3128) ),
inference(variable_rename,[status(thm)],[f_1120_1]) ).
fof(f_1120_3,plain,
! [U_3129,U_3127,U_3128] :
( r1_tarski(k3_relat_1(U_3127),k2_xboole_0(U_3129,U_3128))
| ~ m2_relset_1(U_3127,U_3129,U_3128) ),
inference(definitional_conversion,[status(esa)],[f_1120_2]) ).
cnf(f_1120_4,plain,
( r1_tarski(k3_relat_1(U_3127),k2_xboole_0(U_3129,U_3128))
| ~ m2_relset_1(U_3127,U_3129,U_3128) ),
inference(clausify,[status(thm)],[f_1120_3]) ).
fof(f_1121_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_relset_1]) ).
fof(f_1121_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1121_1]) ).
cnf(f_1121_3,plain,
$true,
inference(clausify,[status(thm)],[f_1121_2]) ).
fof(f_1122_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t21_relset_1]) ).
fof(f_1122_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1122_1]) ).
cnf(f_1122_3,plain,
$true,
inference(clausify,[status(thm)],[f_1122_2]) ).
fof(f_1123_1,plain,
! [A,B,C] :
( ( ( ! [D] :
( ? [E] : r2_hidden(k4_tarski(D,E),C)
| ~ r2_hidden(D,B) )
| k4_relset_1(B,A,C) != B )
& ( k4_relset_1(B,A,C) = B
| ? [D] :
( ! [E] : ~ r2_hidden(k4_tarski(D,E),C)
& r2_hidden(D,B) ) ) )
| ~ m2_relset_1(C,B,A) ),
inference(fof_nnf,[status(thm)],[t22_relset_1]) ).
fof(f_1123_2,plain,
! [U_3136,U_3135,U_3134] :
( ( ( ! [U_3133] :
( ? [U_3132] : r2_hidden(k4_tarski(U_3133,U_3132),U_3134)
| ~ r2_hidden(U_3133,U_3135) )
| k4_relset_1(U_3135,U_3136,U_3134) != U_3135 )
& ( k4_relset_1(U_3135,U_3136,U_3134) = U_3135
| ? [U_3131] :
( ! [U_3130] : ~ r2_hidden(k4_tarski(U_3131,U_3130),U_3134)
& r2_hidden(U_3131,U_3135) ) ) )
| ~ m2_relset_1(U_3134,U_3135,U_3136) ),
inference(variable_rename,[status(thm)],[f_1123_1]) ).
fof(f_1123_3,plain,
! [U_3136,U_3135,U_3134] :
( ( ( ! [U_3133] :
( ? [U_3132] : r2_hidden(k4_tarski(U_3133,U_3132),U_3134)
| ~ r2_hidden(U_3133,U_3135) )
| k4_relset_1(U_3135,U_3136,U_3134) != U_3135 )
& ( k4_relset_1(U_3135,U_3136,U_3134) = U_3135
| ( ! [U_3130] : ~ r2_hidden(k4_tarski(sK293(U_3136,U_3135,U_3134),U_3130),U_3134)
& r2_hidden(sK293(U_3136,U_3135,U_3134),U_3135) ) ) )
| ~ m2_relset_1(U_3134,U_3135,U_3136) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK293]),skolemize(U_3131,sK293(U_3136,U_3135,U_3134))],[f_1123_2]) ).
fof(f_1123_4,plain,
! [U_3136,U_3135,U_3134] :
( ( ( ! [U_3133] :
( r2_hidden(k4_tarski(U_3133,sK294(U_3136,U_3135,U_3134,U_3133)),U_3134)
| ~ r2_hidden(U_3133,U_3135) )
| k4_relset_1(U_3135,U_3136,U_3134) != U_3135 )
& ( k4_relset_1(U_3135,U_3136,U_3134) = U_3135
| ( ! [U_3130] : ~ r2_hidden(k4_tarski(sK293(U_3136,U_3135,U_3134),U_3130),U_3134)
& r2_hidden(sK293(U_3136,U_3135,U_3134),U_3135) ) ) )
| ~ m2_relset_1(U_3134,U_3135,U_3136) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK294]),skolemize(U_3132,sK294(U_3136,U_3135,U_3134,U_3133))],[f_1123_3]) ).
fof(f_1123_5,plain,
( ! [U_3130,U_3134,U_3135,U_3136] :
( ~ r2_hidden(k4_tarski(sK293(U_3136,U_3135,U_3134),U_3130),U_3134)
| ~ sP422(U_3130,U_3134,U_3135,U_3136) )
& ! [U_3130,U_3134,U_3135,U_3136] :
( r2_hidden(sK293(U_3136,U_3135,U_3134),U_3135)
| ~ sP422(U_3130,U_3134,U_3135,U_3136) )
& ! [U_3130,U_3133,U_3134,U_3135,U_3136] :
( r2_hidden(k4_tarski(U_3133,sK294(U_3136,U_3135,U_3134,U_3133)),U_3134)
| ~ r2_hidden(U_3133,U_3135)
| k4_relset_1(U_3135,U_3136,U_3134) != U_3135
| ~ sP423(U_3130,U_3133,U_3134,U_3135,U_3136) )
& ! [U_3130,U_3133,U_3134,U_3135,U_3136] :
( k4_relset_1(U_3135,U_3136,U_3134) = U_3135
| sP422(U_3130,U_3134,U_3135,U_3136)
| ~ sP423(U_3130,U_3133,U_3134,U_3135,U_3136) )
& ! [U_3130,U_3133,U_3134,U_3135,U_3136] :
( sP423(U_3130,U_3133,U_3134,U_3135,U_3136)
| ~ m2_relset_1(U_3134,U_3135,U_3136) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP422,sP423])],[f_1123_4]) ).
cnf(f_1123_6,plain,
( sP423(U_3130,U_3133,U_3134,U_3135,U_3136)
| ~ m2_relset_1(U_3134,U_3135,U_3136) ),
inference(clausify,[status(thm)],[f_1123_5]) ).
cnf(f_1123_7,plain,
( k4_relset_1(U_3135,U_3136,U_3134) = U_3135
| sP422(U_3130,U_3134,U_3135,U_3136)
| ~ sP423(U_3130,U_3133,U_3134,U_3135,U_3136) ),
inference(clausify,[status(thm)],[f_1123_5]) ).
cnf(f_1123_8,plain,
( r2_hidden(k4_tarski(U_3133,sK294(U_3136,U_3135,U_3134,U_3133)),U_3134)
| ~ r2_hidden(U_3133,U_3135)
| k4_relset_1(U_3135,U_3136,U_3134) != U_3135
| ~ sP423(U_3130,U_3133,U_3134,U_3135,U_3136) ),
inference(clausify,[status(thm)],[f_1123_5]) ).
cnf(f_1123_9,plain,
( r2_hidden(sK293(U_3136,U_3135,U_3134),U_3135)
| ~ sP422(U_3130,U_3134,U_3135,U_3136) ),
inference(clausify,[status(thm)],[f_1123_5]) ).
cnf(f_1123_10,plain,
( ~ r2_hidden(k4_tarski(sK293(U_3136,U_3135,U_3134),U_3130),U_3134)
| ~ sP422(U_3130,U_3134,U_3135,U_3136) ),
inference(clausify,[status(thm)],[f_1123_5]) ).
fof(f_1124_1,plain,
! [A,B,C] :
( ( ( ! [D] :
( ? [E] : r2_hidden(k4_tarski(E,D),C)
| ~ r2_hidden(D,B) )
| k5_relset_1(A,B,C) != B )
& ( k5_relset_1(A,B,C) = B
| ? [D] :
( ! [E] : ~ r2_hidden(k4_tarski(E,D),C)
& r2_hidden(D,B) ) ) )
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t23_relset_1]) ).
fof(f_1124_2,plain,
! [U_3143,U_3142,U_3141] :
( ( ( ! [U_3140] :
( ? [U_3139] : r2_hidden(k4_tarski(U_3139,U_3140),U_3141)
| ~ r2_hidden(U_3140,U_3142) )
| k5_relset_1(U_3143,U_3142,U_3141) != U_3142 )
& ( k5_relset_1(U_3143,U_3142,U_3141) = U_3142
| ? [U_3138] :
( ! [U_3137] : ~ r2_hidden(k4_tarski(U_3137,U_3138),U_3141)
& r2_hidden(U_3138,U_3142) ) ) )
| ~ m2_relset_1(U_3141,U_3143,U_3142) ),
inference(variable_rename,[status(thm)],[f_1124_1]) ).
fof(f_1124_3,plain,
! [U_3143,U_3142,U_3141] :
( ( ( ! [U_3140] :
( ? [U_3139] : r2_hidden(k4_tarski(U_3139,U_3140),U_3141)
| ~ r2_hidden(U_3140,U_3142) )
| k5_relset_1(U_3143,U_3142,U_3141) != U_3142 )
& ( k5_relset_1(U_3143,U_3142,U_3141) = U_3142
| ( ! [U_3137] : ~ r2_hidden(k4_tarski(U_3137,sK295(U_3143,U_3142,U_3141)),U_3141)
& r2_hidden(sK295(U_3143,U_3142,U_3141),U_3142) ) ) )
| ~ m2_relset_1(U_3141,U_3143,U_3142) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK295]),skolemize(U_3138,sK295(U_3143,U_3142,U_3141))],[f_1124_2]) ).
fof(f_1124_4,plain,
! [U_3143,U_3142,U_3141] :
( ( ( ! [U_3140] :
( r2_hidden(k4_tarski(sK296(U_3143,U_3142,U_3141,U_3140),U_3140),U_3141)
| ~ r2_hidden(U_3140,U_3142) )
| k5_relset_1(U_3143,U_3142,U_3141) != U_3142 )
& ( k5_relset_1(U_3143,U_3142,U_3141) = U_3142
| ( ! [U_3137] : ~ r2_hidden(k4_tarski(U_3137,sK295(U_3143,U_3142,U_3141)),U_3141)
& r2_hidden(sK295(U_3143,U_3142,U_3141),U_3142) ) ) )
| ~ m2_relset_1(U_3141,U_3143,U_3142) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK296]),skolemize(U_3139,sK296(U_3143,U_3142,U_3141,U_3140))],[f_1124_3]) ).
fof(f_1124_5,plain,
( ! [U_3141,U_3143,U_3137,U_3142] :
( ~ r2_hidden(k4_tarski(U_3137,sK295(U_3143,U_3142,U_3141)),U_3141)
| ~ sP424(U_3141,U_3143,U_3137,U_3142) )
& ! [U_3141,U_3143,U_3137,U_3142] :
( r2_hidden(sK295(U_3143,U_3142,U_3141),U_3142)
| ~ sP424(U_3141,U_3143,U_3137,U_3142) )
& ! [U_3141,U_3140,U_3143,U_3137,U_3142] :
( r2_hidden(k4_tarski(sK296(U_3143,U_3142,U_3141,U_3140),U_3140),U_3141)
| ~ r2_hidden(U_3140,U_3142)
| k5_relset_1(U_3143,U_3142,U_3141) != U_3142
| ~ sP425(U_3141,U_3140,U_3143,U_3137,U_3142) )
& ! [U_3141,U_3140,U_3143,U_3137,U_3142] :
( k5_relset_1(U_3143,U_3142,U_3141) = U_3142
| sP424(U_3141,U_3143,U_3137,U_3142)
| ~ sP425(U_3141,U_3140,U_3143,U_3137,U_3142) )
& ! [U_3141,U_3140,U_3143,U_3137,U_3142] :
( sP425(U_3141,U_3140,U_3143,U_3137,U_3142)
| ~ m2_relset_1(U_3141,U_3143,U_3142) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP424,sP425])],[f_1124_4]) ).
cnf(f_1124_6,plain,
( sP425(U_3141,U_3140,U_3143,U_3137,U_3142)
| ~ m2_relset_1(U_3141,U_3143,U_3142) ),
inference(clausify,[status(thm)],[f_1124_5]) ).
cnf(f_1124_7,plain,
( k5_relset_1(U_3143,U_3142,U_3141) = U_3142
| sP424(U_3141,U_3143,U_3137,U_3142)
| ~ sP425(U_3141,U_3140,U_3143,U_3137,U_3142) ),
inference(clausify,[status(thm)],[f_1124_5]) ).
cnf(f_1124_8,plain,
( r2_hidden(k4_tarski(sK296(U_3143,U_3142,U_3141,U_3140),U_3140),U_3141)
| ~ r2_hidden(U_3140,U_3142)
| k5_relset_1(U_3143,U_3142,U_3141) != U_3142
| ~ sP425(U_3141,U_3140,U_3143,U_3137,U_3142) ),
inference(clausify,[status(thm)],[f_1124_5]) ).
cnf(f_1124_9,plain,
( r2_hidden(sK295(U_3143,U_3142,U_3141),U_3142)
| ~ sP424(U_3141,U_3143,U_3137,U_3142) ),
inference(clausify,[status(thm)],[f_1124_5]) ).
cnf(f_1124_10,plain,
( ~ r2_hidden(k4_tarski(U_3137,sK295(U_3143,U_3142,U_3141)),U_3141)
| ~ sP424(U_3141,U_3143,U_3137,U_3142) ),
inference(clausify,[status(thm)],[f_1124_5]) ).
fof(f_1125_1,plain,
! [A,B,C] :
( ( k5_relset_1(B,A,k6_relset_1(A,B,C)) = k4_relset_1(A,B,C)
& k4_relset_1(B,A,k6_relset_1(A,B,C)) = k5_relset_1(A,B,C) )
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t24_relset_1]) ).
fof(f_1125_2,plain,
! [U_3146,U_3145,U_3144] :
( ( k5_relset_1(U_3145,U_3146,k6_relset_1(U_3146,U_3145,U_3144)) = k4_relset_1(U_3146,U_3145,U_3144)
& k4_relset_1(U_3145,U_3146,k6_relset_1(U_3146,U_3145,U_3144)) = k5_relset_1(U_3146,U_3145,U_3144) )
| ~ m2_relset_1(U_3144,U_3146,U_3145) ),
inference(variable_rename,[status(thm)],[f_1125_1]) ).
fof(f_1125_3,plain,
( ! [U_3144,U_3146,U_3145] :
( k5_relset_1(U_3145,U_3146,k6_relset_1(U_3146,U_3145,U_3144)) = k4_relset_1(U_3146,U_3145,U_3144)
| ~ sP426(U_3144,U_3146,U_3145) )
& ! [U_3144,U_3146,U_3145] :
( k4_relset_1(U_3145,U_3146,k6_relset_1(U_3146,U_3145,U_3144)) = k5_relset_1(U_3146,U_3145,U_3144)
| ~ sP426(U_3144,U_3146,U_3145) )
& ! [U_3144,U_3146,U_3145] :
( sP426(U_3144,U_3146,U_3145)
| ~ m2_relset_1(U_3144,U_3146,U_3145) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP426])],[f_1125_2]) ).
cnf(f_1125_4,plain,
( sP426(U_3144,U_3146,U_3145)
| ~ m2_relset_1(U_3144,U_3146,U_3145) ),
inference(clausify,[status(thm)],[f_1125_3]) ).
cnf(f_1125_5,plain,
( k4_relset_1(U_3145,U_3146,k6_relset_1(U_3146,U_3145,U_3144)) = k5_relset_1(U_3146,U_3145,U_3144)
| ~ sP426(U_3144,U_3146,U_3145) ),
inference(clausify,[status(thm)],[f_1125_3]) ).
cnf(f_1125_6,plain,
( k5_relset_1(U_3145,U_3146,k6_relset_1(U_3146,U_3145,U_3144)) = k4_relset_1(U_3146,U_3145,U_3144)
| ~ sP426(U_3144,U_3146,U_3145) ),
inference(clausify,[status(thm)],[f_1125_3]) ).
fof(f_1126_1,plain,
! [A,B] : m2_relset_1(k1_xboole_0,A,B),
inference(fof_nnf,[status(thm)],[t25_relset_1]) ).
fof(f_1126_2,plain,
! [U_3148,U_3147] : m2_relset_1(k1_xboole_0,U_3148,U_3147),
inference(variable_rename,[status(thm)],[f_1126_1]) ).
fof(f_1126_3,plain,
! [U_3148,U_3147] : m2_relset_1(k1_xboole_0,U_3148,U_3147),
inference(definitional_conversion,[status(esa)],[f_1126_2]) ).
cnf(f_1126_4,plain,
m2_relset_1(k1_xboole_0,U_3148,U_3147),
inference(clausify,[status(thm)],[f_1126_3]) ).
fof(f_1127_1,plain,
! [A,B,C] :
( C = k1_xboole_0
| ~ m2_relset_1(C,k1_xboole_0,B)
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t26_relset_1]) ).
fof(f_1127_2,plain,
! [U_3151,U_3150,U_3149] :
( U_3149 = k1_xboole_0
| ~ m2_relset_1(U_3149,k1_xboole_0,U_3150)
| ~ m2_relset_1(U_3149,U_3151,U_3150) ),
inference(variable_rename,[status(thm)],[f_1127_1]) ).
fof(f_1127_3,plain,
! [U_3150,U_3151,U_3149] :
( U_3149 = k1_xboole_0
| ~ m2_relset_1(U_3149,k1_xboole_0,U_3150)
| ~ m2_relset_1(U_3149,U_3151,U_3150) ),
inference(definitional_conversion,[status(esa)],[f_1127_2]) ).
cnf(f_1127_4,plain,
( U_3149 = k1_xboole_0
| ~ m2_relset_1(U_3149,k1_xboole_0,U_3150)
| ~ m2_relset_1(U_3149,U_3151,U_3150) ),
inference(clausify,[status(thm)],[f_1127_3]) ).
fof(f_1128_1,plain,
! [A,B,C] :
( C = k1_xboole_0
| ~ m2_relset_1(C,B,k1_xboole_0)
| ~ m2_relset_1(C,B,A) ),
inference(fof_nnf,[status(thm)],[t27_relset_1]) ).
fof(f_1128_2,plain,
! [U_3154,U_3153,U_3152] :
( U_3152 = k1_xboole_0
| ~ m2_relset_1(U_3152,U_3153,k1_xboole_0)
| ~ m2_relset_1(U_3152,U_3153,U_3154) ),
inference(variable_rename,[status(thm)],[f_1128_1]) ).
fof(f_1128_3,plain,
! [U_3154,U_3152,U_3153] :
( U_3152 = k1_xboole_0
| ~ m2_relset_1(U_3152,U_3153,k1_xboole_0)
| ~ m2_relset_1(U_3152,U_3153,U_3154) ),
inference(definitional_conversion,[status(esa)],[f_1128_2]) ).
cnf(f_1128_4,plain,
( U_3152 = k1_xboole_0
| ~ m2_relset_1(U_3152,U_3153,k1_xboole_0)
| ~ m2_relset_1(U_3152,U_3153,U_3154) ),
inference(clausify,[status(thm)],[f_1128_3]) ).
fof(f_1129_1,plain,
! [A] : r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A)),
inference(fof_nnf,[status(thm)],[t28_relset_1]) ).
fof(f_1129_2,plain,
! [U_3155] : r1_tarski(k6_relat_1(U_3155),k2_zfmisc_1(U_3155,U_3155)),
inference(variable_rename,[status(thm)],[f_1129_1]) ).
fof(f_1129_3,plain,
! [U_3155] : r1_tarski(k6_relat_1(U_3155),k2_zfmisc_1(U_3155,U_3155)),
inference(definitional_conversion,[status(esa)],[f_1129_2]) ).
cnf(f_1129_4,plain,
r1_tarski(k6_relat_1(U_3155),k2_zfmisc_1(U_3155,U_3155)),
inference(clausify,[status(thm)],[f_1129_3]) ).
fof(f_1130_1,plain,
! [A] : m2_relset_1(k6_relat_1(A),A,A),
inference(fof_nnf,[status(thm)],[t29_relset_1]) ).
fof(f_1130_2,plain,
! [U_3156] : m2_relset_1(k6_relat_1(U_3156),U_3156,U_3156),
inference(variable_rename,[status(thm)],[f_1130_1]) ).
fof(f_1130_3,plain,
! [U_3156] : m2_relset_1(k6_relat_1(U_3156),U_3156,U_3156),
inference(definitional_conversion,[status(esa)],[f_1130_2]) ).
cnf(f_1130_4,plain,
m2_relset_1(k6_relat_1(U_3156),U_3156,U_3156),
inference(clausify,[status(thm)],[f_1130_3]) ).
fof(f_1131_1,plain,
! [A,B,C,D] :
( ( r1_tarski(C,k5_relset_1(A,B,D))
& r1_tarski(C,k4_relset_1(A,B,D)) )
| ~ r1_tarski(k6_relat_1(C),D)
| ~ m2_relset_1(D,A,B) ),
inference(fof_nnf,[status(thm)],[t30_relset_1]) ).
fof(f_1131_2,plain,
! [U_3160,U_3159,U_3158,U_3157] :
( ( r1_tarski(U_3158,k5_relset_1(U_3160,U_3159,U_3157))
& r1_tarski(U_3158,k4_relset_1(U_3160,U_3159,U_3157)) )
| ~ r1_tarski(k6_relat_1(U_3158),U_3157)
| ~ m2_relset_1(U_3157,U_3160,U_3159) ),
inference(variable_rename,[status(thm)],[f_1131_1]) ).
fof(f_1131_3,plain,
( ! [U_3159,U_3160,U_3158,U_3157] :
( r1_tarski(U_3158,k5_relset_1(U_3160,U_3159,U_3157))
| ~ sP427(U_3159,U_3160,U_3158,U_3157) )
& ! [U_3159,U_3160,U_3158,U_3157] :
( r1_tarski(U_3158,k4_relset_1(U_3160,U_3159,U_3157))
| ~ sP427(U_3159,U_3160,U_3158,U_3157) )
& ! [U_3159,U_3160,U_3158,U_3157] :
( sP427(U_3159,U_3160,U_3158,U_3157)
| ~ r1_tarski(k6_relat_1(U_3158),U_3157)
| ~ m2_relset_1(U_3157,U_3160,U_3159) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP427])],[f_1131_2]) ).
cnf(f_1131_4,plain,
( sP427(U_3159,U_3160,U_3158,U_3157)
| ~ r1_tarski(k6_relat_1(U_3158),U_3157)
| ~ m2_relset_1(U_3157,U_3160,U_3159) ),
inference(clausify,[status(thm)],[f_1131_3]) ).
cnf(f_1131_5,plain,
( r1_tarski(U_3158,k4_relset_1(U_3160,U_3159,U_3157))
| ~ sP427(U_3159,U_3160,U_3158,U_3157) ),
inference(clausify,[status(thm)],[f_1131_3]) ).
cnf(f_1131_6,plain,
( r1_tarski(U_3158,k5_relset_1(U_3160,U_3159,U_3157))
| ~ sP427(U_3159,U_3160,U_3158,U_3157) ),
inference(clausify,[status(thm)],[f_1131_3]) ).
fof(f_1132_1,plain,
! [A,B,C] :
( ( r1_tarski(B,k5_relset_1(B,A,C))
& B = k4_relset_1(B,A,C) )
| ~ r1_tarski(k6_relat_1(B),C)
| ~ m2_relset_1(C,B,A) ),
inference(fof_nnf,[status(thm)],[t31_relset_1]) ).
fof(f_1132_2,plain,
! [U_3163,U_3162,U_3161] :
( ( r1_tarski(U_3162,k5_relset_1(U_3162,U_3163,U_3161))
& U_3162 = k4_relset_1(U_3162,U_3163,U_3161) )
| ~ r1_tarski(k6_relat_1(U_3162),U_3161)
| ~ m2_relset_1(U_3161,U_3162,U_3163) ),
inference(variable_rename,[status(thm)],[f_1132_1]) ).
fof(f_1132_3,plain,
( ! [U_3161,U_3162,U_3163] :
( r1_tarski(U_3162,k5_relset_1(U_3162,U_3163,U_3161))
| ~ sP428(U_3161,U_3162,U_3163) )
& ! [U_3161,U_3162,U_3163] :
( U_3162 = k4_relset_1(U_3162,U_3163,U_3161)
| ~ sP428(U_3161,U_3162,U_3163) )
& ! [U_3161,U_3162,U_3163] :
( sP428(U_3161,U_3162,U_3163)
| ~ r1_tarski(k6_relat_1(U_3162),U_3161)
| ~ m2_relset_1(U_3161,U_3162,U_3163) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP428])],[f_1132_2]) ).
cnf(f_1132_4,plain,
( sP428(U_3161,U_3162,U_3163)
| ~ r1_tarski(k6_relat_1(U_3162),U_3161)
| ~ m2_relset_1(U_3161,U_3162,U_3163) ),
inference(clausify,[status(thm)],[f_1132_3]) ).
cnf(f_1132_5,plain,
( U_3162 = k4_relset_1(U_3162,U_3163,U_3161)
| ~ sP428(U_3161,U_3162,U_3163) ),
inference(clausify,[status(thm)],[f_1132_3]) ).
cnf(f_1132_6,plain,
( r1_tarski(U_3162,k5_relset_1(U_3162,U_3163,U_3161))
| ~ sP428(U_3161,U_3162,U_3163) ),
inference(clausify,[status(thm)],[f_1132_3]) ).
fof(f_1133_1,plain,
! [A,B,C] :
( ( B = k5_relset_1(A,B,C)
& r1_tarski(B,k4_relset_1(A,B,C)) )
| ~ r1_tarski(k6_relat_1(B),C)
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t32_relset_1]) ).
fof(f_1133_2,plain,
! [U_3166,U_3165,U_3164] :
( ( U_3165 = k5_relset_1(U_3166,U_3165,U_3164)
& r1_tarski(U_3165,k4_relset_1(U_3166,U_3165,U_3164)) )
| ~ r1_tarski(k6_relat_1(U_3165),U_3164)
| ~ m2_relset_1(U_3164,U_3166,U_3165) ),
inference(variable_rename,[status(thm)],[f_1133_1]) ).
fof(f_1133_3,plain,
( ! [U_3166,U_3164,U_3165] :
( U_3165 = k5_relset_1(U_3166,U_3165,U_3164)
| ~ sP429(U_3166,U_3164,U_3165) )
& ! [U_3166,U_3164,U_3165] :
( r1_tarski(U_3165,k4_relset_1(U_3166,U_3165,U_3164))
| ~ sP429(U_3166,U_3164,U_3165) )
& ! [U_3166,U_3164,U_3165] :
( sP429(U_3166,U_3164,U_3165)
| ~ r1_tarski(k6_relat_1(U_3165),U_3164)
| ~ m2_relset_1(U_3164,U_3166,U_3165) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP429])],[f_1133_2]) ).
cnf(f_1133_4,plain,
( sP429(U_3166,U_3164,U_3165)
| ~ r1_tarski(k6_relat_1(U_3165),U_3164)
| ~ m2_relset_1(U_3164,U_3166,U_3165) ),
inference(clausify,[status(thm)],[f_1133_3]) ).
cnf(f_1133_5,plain,
( r1_tarski(U_3165,k4_relset_1(U_3166,U_3165,U_3164))
| ~ sP429(U_3166,U_3164,U_3165) ),
inference(clausify,[status(thm)],[f_1133_3]) ).
cnf(f_1133_6,plain,
( U_3165 = k5_relset_1(U_3166,U_3165,U_3164)
| ~ sP429(U_3166,U_3164,U_3165) ),
inference(clausify,[status(thm)],[f_1133_3]) ).
fof(f_1134_1,plain,
! [A,B,C,D] :
( m2_relset_1(k8_relset_1(A,C,D,B),B,C)
| ~ m2_relset_1(D,A,C) ),
inference(fof_nnf,[status(thm)],[t33_relset_1]) ).
fof(f_1134_2,plain,
! [U_3170,U_3169,U_3168,U_3167] :
( m2_relset_1(k8_relset_1(U_3170,U_3168,U_3167,U_3169),U_3169,U_3168)
| ~ m2_relset_1(U_3167,U_3170,U_3168) ),
inference(variable_rename,[status(thm)],[f_1134_1]) ).
fof(f_1134_3,plain,
! [U_3170,U_3169,U_3168,U_3167] :
( m2_relset_1(k8_relset_1(U_3170,U_3168,U_3167,U_3169),U_3169,U_3168)
| ~ m2_relset_1(U_3167,U_3170,U_3168) ),
inference(definitional_conversion,[status(esa)],[f_1134_2]) ).
cnf(f_1134_4,plain,
( m2_relset_1(k8_relset_1(U_3170,U_3168,U_3167,U_3169),U_3169,U_3168)
| ~ m2_relset_1(U_3167,U_3170,U_3168) ),
inference(clausify,[status(thm)],[f_1134_3]) ).
fof(f_1135_1,plain,
! [A,B,C,D] :
( k8_relset_1(B,A,D,C) = D
| ~ r1_tarski(B,C)
| ~ m2_relset_1(D,B,A) ),
inference(fof_nnf,[status(thm)],[t34_relset_1]) ).
fof(f_1135_2,plain,
! [U_3174,U_3173,U_3172,U_3171] :
( k8_relset_1(U_3173,U_3174,U_3171,U_3172) = U_3171
| ~ r1_tarski(U_3173,U_3172)
| ~ m2_relset_1(U_3171,U_3173,U_3174) ),
inference(variable_rename,[status(thm)],[f_1135_1]) ).
fof(f_1135_3,plain,
! [U_3172,U_3173,U_3174,U_3171] :
( k8_relset_1(U_3173,U_3174,U_3171,U_3172) = U_3171
| ~ r1_tarski(U_3173,U_3172)
| ~ m2_relset_1(U_3171,U_3173,U_3174) ),
inference(definitional_conversion,[status(esa)],[f_1135_2]) ).
cnf(f_1135_4,plain,
( k8_relset_1(U_3173,U_3174,U_3171,U_3172) = U_3171
| ~ r1_tarski(U_3173,U_3172)
| ~ m2_relset_1(U_3171,U_3173,U_3174) ),
inference(clausify,[status(thm)],[f_1135_3]) ).
fof(f_1136_1,plain,
! [A,B,C,D] :
( m2_relset_1(k9_relset_1(C,A,B,D),C,B)
| ~ m2_relset_1(D,C,A) ),
inference(fof_nnf,[status(thm)],[t35_relset_1]) ).
fof(f_1136_2,plain,
! [U_3178,U_3177,U_3176,U_3175] :
( m2_relset_1(k9_relset_1(U_3176,U_3178,U_3177,U_3175),U_3176,U_3177)
| ~ m2_relset_1(U_3175,U_3176,U_3178) ),
inference(variable_rename,[status(thm)],[f_1136_1]) ).
fof(f_1136_3,plain,
! [U_3175,U_3176,U_3177,U_3178] :
( m2_relset_1(k9_relset_1(U_3176,U_3178,U_3177,U_3175),U_3176,U_3177)
| ~ m2_relset_1(U_3175,U_3176,U_3178) ),
inference(definitional_conversion,[status(esa)],[f_1136_2]) ).
cnf(f_1136_4,plain,
( m2_relset_1(k9_relset_1(U_3176,U_3178,U_3177,U_3175),U_3176,U_3177)
| ~ m2_relset_1(U_3175,U_3176,U_3178) ),
inference(clausify,[status(thm)],[f_1136_3]) ).
fof(f_1137_1,plain,
! [A,B,C,D] :
( k9_relset_1(A,B,C,D) = D
| ~ r1_tarski(B,C)
| ~ m2_relset_1(D,A,B) ),
inference(fof_nnf,[status(thm)],[t36_relset_1]) ).
fof(f_1137_2,plain,
! [U_3182,U_3181,U_3180,U_3179] :
( k9_relset_1(U_3182,U_3181,U_3180,U_3179) = U_3179
| ~ r1_tarski(U_3181,U_3180)
| ~ m2_relset_1(U_3179,U_3182,U_3181) ),
inference(variable_rename,[status(thm)],[f_1137_1]) ).
fof(f_1137_3,plain,
! [U_3180,U_3179,U_3181,U_3182] :
( k9_relset_1(U_3182,U_3181,U_3180,U_3179) = U_3179
| ~ r1_tarski(U_3181,U_3180)
| ~ m2_relset_1(U_3179,U_3182,U_3181) ),
inference(definitional_conversion,[status(esa)],[f_1137_2]) ).
cnf(f_1137_4,plain,
( k9_relset_1(U_3182,U_3181,U_3180,U_3179) = U_3179
| ~ r1_tarski(U_3181,U_3180)
| ~ m2_relset_1(U_3179,U_3182,U_3181) ),
inference(clausify,[status(thm)],[f_1137_3]) ).
fof(f_1138_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_relset_1]) ).
fof(f_1138_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1138_1]) ).
cnf(f_1138_3,plain,
$true,
inference(clausify,[status(thm)],[f_1138_2]) ).
fof(f_1139_1,plain,
! [A,B,C] :
( ( k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C)
& k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C) )
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t38_relset_1]) ).
fof(f_1139_2,plain,
! [U_3185,U_3184,U_3183] :
( ( k11_relset_1(U_3185,U_3184,U_3183,U_3184) = k4_relset_1(U_3185,U_3184,U_3183)
& k10_relset_1(U_3185,U_3184,U_3183,U_3185) = k5_relset_1(U_3185,U_3184,U_3183) )
| ~ m2_relset_1(U_3183,U_3185,U_3184) ),
inference(variable_rename,[status(thm)],[f_1139_1]) ).
fof(f_1139_3,plain,
( ! [U_3183,U_3184,U_3185] :
( k11_relset_1(U_3185,U_3184,U_3183,U_3184) = k4_relset_1(U_3185,U_3184,U_3183)
| ~ sP430(U_3183,U_3184,U_3185) )
& ! [U_3183,U_3184,U_3185] :
( k10_relset_1(U_3185,U_3184,U_3183,U_3185) = k5_relset_1(U_3185,U_3184,U_3183)
| ~ sP430(U_3183,U_3184,U_3185) )
& ! [U_3183,U_3184,U_3185] :
( sP430(U_3183,U_3184,U_3185)
| ~ m2_relset_1(U_3183,U_3185,U_3184) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP430])],[f_1139_2]) ).
cnf(f_1139_4,plain,
( sP430(U_3183,U_3184,U_3185)
| ~ m2_relset_1(U_3183,U_3185,U_3184) ),
inference(clausify,[status(thm)],[f_1139_3]) ).
cnf(f_1139_5,plain,
( k10_relset_1(U_3185,U_3184,U_3183,U_3185) = k5_relset_1(U_3185,U_3184,U_3183)
| ~ sP430(U_3183,U_3184,U_3185) ),
inference(clausify,[status(thm)],[f_1139_3]) ).
cnf(f_1139_6,plain,
( k11_relset_1(U_3185,U_3184,U_3183,U_3184) = k4_relset_1(U_3185,U_3184,U_3183)
| ~ sP430(U_3183,U_3184,U_3185) ),
inference(clausify,[status(thm)],[f_1139_3]) ).
fof(f_1140_1,plain,
! [A,B,C] :
( ( k11_relset_1(B,A,C,k10_relset_1(B,A,C,B)) = k4_relset_1(B,A,C)
& k10_relset_1(B,A,C,k11_relset_1(B,A,C,A)) = k5_relset_1(B,A,C) )
| ~ m2_relset_1(C,B,A) ),
inference(fof_nnf,[status(thm)],[t39_relset_1]) ).
fof(f_1140_2,plain,
! [U_3188,U_3187,U_3186] :
( ( k11_relset_1(U_3187,U_3188,U_3186,k10_relset_1(U_3187,U_3188,U_3186,U_3187)) = k4_relset_1(U_3187,U_3188,U_3186)
& k10_relset_1(U_3187,U_3188,U_3186,k11_relset_1(U_3187,U_3188,U_3186,U_3188)) = k5_relset_1(U_3187,U_3188,U_3186) )
| ~ m2_relset_1(U_3186,U_3187,U_3188) ),
inference(variable_rename,[status(thm)],[f_1140_1]) ).
fof(f_1140_3,plain,
( ! [U_3186,U_3187,U_3188] :
( k11_relset_1(U_3187,U_3188,U_3186,k10_relset_1(U_3187,U_3188,U_3186,U_3187)) = k4_relset_1(U_3187,U_3188,U_3186)
| ~ sP431(U_3186,U_3187,U_3188) )
& ! [U_3186,U_3187,U_3188] :
( k10_relset_1(U_3187,U_3188,U_3186,k11_relset_1(U_3187,U_3188,U_3186,U_3188)) = k5_relset_1(U_3187,U_3188,U_3186)
| ~ sP431(U_3186,U_3187,U_3188) )
& ! [U_3186,U_3187,U_3188] :
( sP431(U_3186,U_3187,U_3188)
| ~ m2_relset_1(U_3186,U_3187,U_3188) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP431])],[f_1140_2]) ).
cnf(f_1140_4,plain,
( sP431(U_3186,U_3187,U_3188)
| ~ m2_relset_1(U_3186,U_3187,U_3188) ),
inference(clausify,[status(thm)],[f_1140_3]) ).
cnf(f_1140_5,plain,
( k10_relset_1(U_3187,U_3188,U_3186,k11_relset_1(U_3187,U_3188,U_3186,U_3188)) = k5_relset_1(U_3187,U_3188,U_3186)
| ~ sP431(U_3186,U_3187,U_3188) ),
inference(clausify,[status(thm)],[f_1140_3]) ).
cnf(f_1140_6,plain,
( k11_relset_1(U_3187,U_3188,U_3186,k10_relset_1(U_3187,U_3188,U_3186,U_3187)) = k4_relset_1(U_3187,U_3188,U_3186)
| ~ sP431(U_3186,U_3187,U_3188) ),
inference(clausify,[status(thm)],[f_1140_3]) ).
fof(f_1141_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t40_relset_1]) ).
fof(f_1141_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1141_1]) ).
cnf(f_1141_3,plain,
$true,
inference(clausify,[status(thm)],[f_1141_2]) ).
fof(f_1142_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t41_relset_1]) ).
fof(f_1142_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1142_1]) ).
cnf(f_1142_3,plain,
$true,
inference(clausify,[status(thm)],[f_1142_2]) ).
fof(f_1143_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t42_relset_1]) ).
fof(f_1143_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1143_1]) ).
cnf(f_1143_3,plain,
$true,
inference(clausify,[status(thm)],[f_1143_2]) ).
fof(f_1144_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t43_relset_1]) ).
fof(f_1144_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1144_1]) ).
cnf(f_1144_3,plain,
$true,
inference(clausify,[status(thm)],[f_1144_2]) ).
fof(f_1145_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t44_relset_1]) ).
fof(f_1145_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1145_1]) ).
cnf(f_1145_3,plain,
$true,
inference(clausify,[status(thm)],[f_1145_2]) ).
fof(f_1146_1,plain,
! [A,B] :
( ( k5_relat_1(k6_relat_1(A),B) = B
& k5_relat_1(B,k6_relat_1(A)) = B )
| ~ m2_relset_1(B,A,A) ),
inference(fof_nnf,[status(thm)],[t45_relset_1]) ).
fof(f_1146_2,plain,
! [U_3190,U_3189] :
( ( k5_relat_1(k6_relat_1(U_3190),U_3189) = U_3189
& k5_relat_1(U_3189,k6_relat_1(U_3190)) = U_3189 )
| ~ m2_relset_1(U_3189,U_3190,U_3190) ),
inference(variable_rename,[status(thm)],[f_1146_1]) ).
fof(f_1146_3,plain,
( ! [U_3189,U_3190] :
( k5_relat_1(k6_relat_1(U_3190),U_3189) = U_3189
| ~ sP432(U_3189,U_3190) )
& ! [U_3189,U_3190] :
( k5_relat_1(U_3189,k6_relat_1(U_3190)) = U_3189
| ~ sP432(U_3189,U_3190) )
& ! [U_3189,U_3190] :
( sP432(U_3189,U_3190)
| ~ m2_relset_1(U_3189,U_3190,U_3190) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP432])],[f_1146_2]) ).
cnf(f_1146_4,plain,
( sP432(U_3189,U_3190)
| ~ m2_relset_1(U_3189,U_3190,U_3190) ),
inference(clausify,[status(thm)],[f_1146_3]) ).
cnf(f_1146_5,plain,
( k5_relat_1(U_3189,k6_relat_1(U_3190)) = U_3189
| ~ sP432(U_3189,U_3190) ),
inference(clausify,[status(thm)],[f_1146_3]) ).
cnf(f_1146_6,plain,
( k5_relat_1(k6_relat_1(U_3190),U_3189) = U_3189
| ~ sP432(U_3189,U_3190) ),
inference(clausify,[status(thm)],[f_1146_3]) ).
fof(f_1147_1,plain,
! [A] :
( k6_relat_1(A) != k1_xboole_0
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t46_relset_1]) ).
fof(f_1147_2,plain,
! [U_3191] :
( k6_relat_1(U_3191) != k1_xboole_0
| v1_xboole_0(U_3191) ),
inference(variable_rename,[status(thm)],[f_1147_1]) ).
fof(f_1147_3,plain,
! [U_3191] :
( k6_relat_1(U_3191) != k1_xboole_0
| v1_xboole_0(U_3191) ),
inference(definitional_conversion,[status(esa)],[f_1147_2]) ).
cnf(f_1147_4,plain,
( k6_relat_1(U_3191) != k1_xboole_0
| v1_xboole_0(U_3191) ),
inference(clausify,[status(thm)],[f_1147_3]) ).
fof(f_1148_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(D,k4_relset_1(A,B,C))
| ! [E] :
( ~ r2_hidden(k4_tarski(D,E),C)
| ~ m1_subset_1(E,B) ) )
& ( ? [E] :
( r2_hidden(k4_tarski(D,E),C)
& m1_subset_1(E,B) )
| ~ r2_hidden(D,k4_relset_1(A,B,C)) ) )
| ~ m1_subset_1(D,A) )
| ~ m2_relset_1(C,A,B) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t47_relset_1]) ).
fof(f_1148_2,plain,
! [U_3197] :
( ! [U_3196] :
( ! [U_3195] :
( ! [U_3194] :
( ( ( r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195))
| ! [U_3193] :
( ~ r2_hidden(k4_tarski(U_3194,U_3193),U_3195)
| ~ m1_subset_1(U_3193,U_3196) ) )
& ( ? [U_3192] :
( r2_hidden(k4_tarski(U_3194,U_3192),U_3195)
& m1_subset_1(U_3192,U_3196) )
| ~ r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195)) ) )
| ~ m1_subset_1(U_3194,U_3197) )
| ~ m2_relset_1(U_3195,U_3197,U_3196) )
| v1_xboole_0(U_3196) )
| v1_xboole_0(U_3197) ),
inference(variable_rename,[status(thm)],[f_1148_1]) ).
fof(f_1148_3,plain,
! [U_3197] :
( ! [U_3196] :
( ! [U_3195] :
( ! [U_3194] :
( ( ( r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195))
| ! [U_3193] :
( ~ r2_hidden(k4_tarski(U_3194,U_3193),U_3195)
| ~ m1_subset_1(U_3193,U_3196) ) )
& ( ( r2_hidden(k4_tarski(U_3194,sK297(U_3197,U_3196,U_3195,U_3194)),U_3195)
& m1_subset_1(sK297(U_3197,U_3196,U_3195,U_3194),U_3196) )
| ~ r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195)) ) )
| ~ m1_subset_1(U_3194,U_3197) )
| ~ m2_relset_1(U_3195,U_3197,U_3196) )
| v1_xboole_0(U_3196) )
| v1_xboole_0(U_3197) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK297]),skolemize(U_3192,sK297(U_3197,U_3196,U_3195,U_3194))],[f_1148_2]) ).
fof(f_1148_4,plain,
( ! [U_3194,U_3195,U_3196,U_3197] :
( r2_hidden(k4_tarski(U_3194,sK297(U_3197,U_3196,U_3195,U_3194)),U_3195)
| ~ sP433(U_3194,U_3195,U_3196,U_3197) )
& ! [U_3194,U_3195,U_3196,U_3197] :
( m1_subset_1(sK297(U_3197,U_3196,U_3195,U_3194),U_3196)
| ~ sP433(U_3194,U_3195,U_3196,U_3197) )
& ! [U_3193,U_3194,U_3195,U_3196,U_3197] :
( r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195))
| ~ r2_hidden(k4_tarski(U_3194,U_3193),U_3195)
| ~ m1_subset_1(U_3193,U_3196)
| ~ sP434(U_3193,U_3194,U_3195,U_3196,U_3197) )
& ! [U_3193,U_3194,U_3195,U_3196,U_3197] :
( sP433(U_3194,U_3195,U_3196,U_3197)
| ~ r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195))
| ~ sP434(U_3193,U_3194,U_3195,U_3196,U_3197) )
& ! [U_3193,U_3194,U_3195,U_3196,U_3197] :
( sP434(U_3193,U_3194,U_3195,U_3196,U_3197)
| ~ m1_subset_1(U_3194,U_3197)
| ~ m2_relset_1(U_3195,U_3197,U_3196)
| v1_xboole_0(U_3196)
| v1_xboole_0(U_3197) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP433,sP434])],[f_1148_3]) ).
cnf(f_1148_5,plain,
( sP434(U_3193,U_3194,U_3195,U_3196,U_3197)
| ~ m1_subset_1(U_3194,U_3197)
| ~ m2_relset_1(U_3195,U_3197,U_3196)
| v1_xboole_0(U_3196)
| v1_xboole_0(U_3197) ),
inference(clausify,[status(thm)],[f_1148_4]) ).
cnf(f_1148_6,plain,
( sP433(U_3194,U_3195,U_3196,U_3197)
| ~ r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195))
| ~ sP434(U_3193,U_3194,U_3195,U_3196,U_3197) ),
inference(clausify,[status(thm)],[f_1148_4]) ).
cnf(f_1148_7,plain,
( r2_hidden(U_3194,k4_relset_1(U_3197,U_3196,U_3195))
| ~ r2_hidden(k4_tarski(U_3194,U_3193),U_3195)
| ~ m1_subset_1(U_3193,U_3196)
| ~ sP434(U_3193,U_3194,U_3195,U_3196,U_3197) ),
inference(clausify,[status(thm)],[f_1148_4]) ).
cnf(f_1148_8,plain,
( m1_subset_1(sK297(U_3197,U_3196,U_3195,U_3194),U_3196)
| ~ sP433(U_3194,U_3195,U_3196,U_3197) ),
inference(clausify,[status(thm)],[f_1148_4]) ).
cnf(f_1148_9,plain,
( r2_hidden(k4_tarski(U_3194,sK297(U_3197,U_3196,U_3195,U_3194)),U_3195)
| ~ sP433(U_3194,U_3195,U_3196,U_3197) ),
inference(clausify,[status(thm)],[f_1148_4]) ).
fof(f_1149_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(D,k5_relset_1(B,A,C))
| ! [E] :
( ~ r2_hidden(k4_tarski(E,D),C)
| ~ m1_subset_1(E,B) ) )
& ( ? [E] :
( r2_hidden(k4_tarski(E,D),C)
& m1_subset_1(E,B) )
| ~ r2_hidden(D,k5_relset_1(B,A,C)) ) )
| ~ m1_subset_1(D,A) )
| ~ m2_relset_1(C,B,A) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t48_relset_1]) ).
fof(f_1149_2,plain,
! [U_3203] :
( ! [U_3202] :
( ! [U_3201] :
( ! [U_3200] :
( ( ( r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201))
| ! [U_3199] :
( ~ r2_hidden(k4_tarski(U_3199,U_3200),U_3201)
| ~ m1_subset_1(U_3199,U_3202) ) )
& ( ? [U_3198] :
( r2_hidden(k4_tarski(U_3198,U_3200),U_3201)
& m1_subset_1(U_3198,U_3202) )
| ~ r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201)) ) )
| ~ m1_subset_1(U_3200,U_3203) )
| ~ m2_relset_1(U_3201,U_3202,U_3203) )
| v1_xboole_0(U_3202) )
| v1_xboole_0(U_3203) ),
inference(variable_rename,[status(thm)],[f_1149_1]) ).
fof(f_1149_3,plain,
! [U_3203] :
( ! [U_3202] :
( ! [U_3201] :
( ! [U_3200] :
( ( ( r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201))
| ! [U_3199] :
( ~ r2_hidden(k4_tarski(U_3199,U_3200),U_3201)
| ~ m1_subset_1(U_3199,U_3202) ) )
& ( ( r2_hidden(k4_tarski(sK298(U_3203,U_3202,U_3201,U_3200),U_3200),U_3201)
& m1_subset_1(sK298(U_3203,U_3202,U_3201,U_3200),U_3202) )
| ~ r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201)) ) )
| ~ m1_subset_1(U_3200,U_3203) )
| ~ m2_relset_1(U_3201,U_3202,U_3203) )
| v1_xboole_0(U_3202) )
| v1_xboole_0(U_3203) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK298]),skolemize(U_3198,sK298(U_3203,U_3202,U_3201,U_3200))],[f_1149_2]) ).
fof(f_1149_4,plain,
( ! [U_3202,U_3200,U_3203,U_3201] :
( r2_hidden(k4_tarski(sK298(U_3203,U_3202,U_3201,U_3200),U_3200),U_3201)
| ~ sP435(U_3202,U_3200,U_3203,U_3201) )
& ! [U_3202,U_3200,U_3203,U_3201] :
( m1_subset_1(sK298(U_3203,U_3202,U_3201,U_3200),U_3202)
| ~ sP435(U_3202,U_3200,U_3203,U_3201) )
& ! [U_3199,U_3202,U_3200,U_3203,U_3201] :
( r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201))
| ~ r2_hidden(k4_tarski(U_3199,U_3200),U_3201)
| ~ m1_subset_1(U_3199,U_3202)
| ~ sP436(U_3199,U_3202,U_3200,U_3203,U_3201) )
& ! [U_3199,U_3202,U_3200,U_3203,U_3201] :
( sP435(U_3202,U_3200,U_3203,U_3201)
| ~ r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201))
| ~ sP436(U_3199,U_3202,U_3200,U_3203,U_3201) )
& ! [U_3199,U_3202,U_3200,U_3203,U_3201] :
( sP436(U_3199,U_3202,U_3200,U_3203,U_3201)
| ~ m1_subset_1(U_3200,U_3203)
| ~ m2_relset_1(U_3201,U_3202,U_3203)
| v1_xboole_0(U_3202)
| v1_xboole_0(U_3203) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP435,sP436])],[f_1149_3]) ).
cnf(f_1149_5,plain,
( sP436(U_3199,U_3202,U_3200,U_3203,U_3201)
| ~ m1_subset_1(U_3200,U_3203)
| ~ m2_relset_1(U_3201,U_3202,U_3203)
| v1_xboole_0(U_3202)
| v1_xboole_0(U_3203) ),
inference(clausify,[status(thm)],[f_1149_4]) ).
cnf(f_1149_6,plain,
( sP435(U_3202,U_3200,U_3203,U_3201)
| ~ r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201))
| ~ sP436(U_3199,U_3202,U_3200,U_3203,U_3201) ),
inference(clausify,[status(thm)],[f_1149_4]) ).
cnf(f_1149_7,plain,
( r2_hidden(U_3200,k5_relset_1(U_3202,U_3203,U_3201))
| ~ r2_hidden(k4_tarski(U_3199,U_3200),U_3201)
| ~ m1_subset_1(U_3199,U_3202)
| ~ sP436(U_3199,U_3202,U_3200,U_3203,U_3201) ),
inference(clausify,[status(thm)],[f_1149_4]) ).
cnf(f_1149_8,plain,
( m1_subset_1(sK298(U_3203,U_3202,U_3201,U_3200),U_3202)
| ~ sP435(U_3202,U_3200,U_3203,U_3201) ),
inference(clausify,[status(thm)],[f_1149_4]) ).
cnf(f_1149_9,plain,
( r2_hidden(k4_tarski(sK298(U_3203,U_3202,U_3201,U_3200),U_3200),U_3201)
| ~ sP435(U_3202,U_3200,U_3203,U_3201) ),
inference(clausify,[status(thm)],[f_1149_4]) ).
fof(f_1150_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ? [E] :
( r2_hidden(E,k5_relset_1(A,B,C))
& m1_subset_1(E,B) )
| ~ r2_hidden(D,k4_relset_1(A,B,C))
| ~ m1_subset_1(D,A) )
| ~ m2_relset_1(C,A,B) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t49_relset_1]) ).
fof(f_1150_2,plain,
! [U_3208] :
( ! [U_3207] :
( ! [U_3206] :
( ! [U_3205] :
( ? [U_3204] :
( r2_hidden(U_3204,k5_relset_1(U_3208,U_3207,U_3206))
& m1_subset_1(U_3204,U_3207) )
| ~ r2_hidden(U_3205,k4_relset_1(U_3208,U_3207,U_3206))
| ~ m1_subset_1(U_3205,U_3208) )
| ~ m2_relset_1(U_3206,U_3208,U_3207) )
| v1_xboole_0(U_3207) )
| v1_xboole_0(U_3208) ),
inference(variable_rename,[status(thm)],[f_1150_1]) ).
fof(f_1150_3,plain,
! [U_3208] :
( ! [U_3207] :
( ! [U_3206] :
( ! [U_3205] :
( ( r2_hidden(sK299(U_3208,U_3207,U_3206,U_3205),k5_relset_1(U_3208,U_3207,U_3206))
& m1_subset_1(sK299(U_3208,U_3207,U_3206,U_3205),U_3207) )
| ~ r2_hidden(U_3205,k4_relset_1(U_3208,U_3207,U_3206))
| ~ m1_subset_1(U_3205,U_3208) )
| ~ m2_relset_1(U_3206,U_3208,U_3207) )
| v1_xboole_0(U_3207) )
| v1_xboole_0(U_3208) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK299]),skolemize(U_3204,sK299(U_3208,U_3207,U_3206,U_3205))],[f_1150_2]) ).
fof(f_1150_4,plain,
( ! [U_3208,U_3207,U_3206,U_3205] :
( r2_hidden(sK299(U_3208,U_3207,U_3206,U_3205),k5_relset_1(U_3208,U_3207,U_3206))
| ~ sP437(U_3208,U_3207,U_3206,U_3205) )
& ! [U_3208,U_3207,U_3206,U_3205] :
( m1_subset_1(sK299(U_3208,U_3207,U_3206,U_3205),U_3207)
| ~ sP437(U_3208,U_3207,U_3206,U_3205) )
& ! [U_3208,U_3207,U_3206,U_3205] :
( sP437(U_3208,U_3207,U_3206,U_3205)
| ~ r2_hidden(U_3205,k4_relset_1(U_3208,U_3207,U_3206))
| ~ m1_subset_1(U_3205,U_3208)
| ~ m2_relset_1(U_3206,U_3208,U_3207)
| v1_xboole_0(U_3207)
| v1_xboole_0(U_3208) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP437])],[f_1150_3]) ).
cnf(f_1150_5,plain,
( sP437(U_3208,U_3207,U_3206,U_3205)
| ~ r2_hidden(U_3205,k4_relset_1(U_3208,U_3207,U_3206))
| ~ m1_subset_1(U_3205,U_3208)
| ~ m2_relset_1(U_3206,U_3208,U_3207)
| v1_xboole_0(U_3207)
| v1_xboole_0(U_3208) ),
inference(clausify,[status(thm)],[f_1150_4]) ).
cnf(f_1150_6,plain,
( m1_subset_1(sK299(U_3208,U_3207,U_3206,U_3205),U_3207)
| ~ sP437(U_3208,U_3207,U_3206,U_3205) ),
inference(clausify,[status(thm)],[f_1150_4]) ).
cnf(f_1150_7,plain,
( r2_hidden(sK299(U_3208,U_3207,U_3206,U_3205),k5_relset_1(U_3208,U_3207,U_3206))
| ~ sP437(U_3208,U_3207,U_3206,U_3205) ),
inference(clausify,[status(thm)],[f_1150_4]) ).
fof(f_1151_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ? [E] :
( r2_hidden(E,k4_relset_1(B,A,C))
& m1_subset_1(E,B) )
| ~ r2_hidden(D,k5_relset_1(B,A,C))
| ~ m1_subset_1(D,A) )
| ~ m2_relset_1(C,B,A) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t50_relset_1]) ).
fof(f_1151_2,plain,
! [U_3213] :
( ! [U_3212] :
( ! [U_3211] :
( ! [U_3210] :
( ? [U_3209] :
( r2_hidden(U_3209,k4_relset_1(U_3212,U_3213,U_3211))
& m1_subset_1(U_3209,U_3212) )
| ~ r2_hidden(U_3210,k5_relset_1(U_3212,U_3213,U_3211))
| ~ m1_subset_1(U_3210,U_3213) )
| ~ m2_relset_1(U_3211,U_3212,U_3213) )
| v1_xboole_0(U_3212) )
| v1_xboole_0(U_3213) ),
inference(variable_rename,[status(thm)],[f_1151_1]) ).
fof(f_1151_3,plain,
! [U_3213] :
( ! [U_3212] :
( ! [U_3211] :
( ! [U_3210] :
( ( r2_hidden(sK300(U_3213,U_3212,U_3211,U_3210),k4_relset_1(U_3212,U_3213,U_3211))
& m1_subset_1(sK300(U_3213,U_3212,U_3211,U_3210),U_3212) )
| ~ r2_hidden(U_3210,k5_relset_1(U_3212,U_3213,U_3211))
| ~ m1_subset_1(U_3210,U_3213) )
| ~ m2_relset_1(U_3211,U_3212,U_3213) )
| v1_xboole_0(U_3212) )
| v1_xboole_0(U_3213) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK300]),skolemize(U_3209,sK300(U_3213,U_3212,U_3211,U_3210))],[f_1151_2]) ).
fof(f_1151_4,plain,
( ! [U_3210,U_3213,U_3211,U_3212] :
( r2_hidden(sK300(U_3213,U_3212,U_3211,U_3210),k4_relset_1(U_3212,U_3213,U_3211))
| ~ sP438(U_3210,U_3213,U_3211,U_3212) )
& ! [U_3210,U_3213,U_3211,U_3212] :
( m1_subset_1(sK300(U_3213,U_3212,U_3211,U_3210),U_3212)
| ~ sP438(U_3210,U_3213,U_3211,U_3212) )
& ! [U_3210,U_3213,U_3211,U_3212] :
( sP438(U_3210,U_3213,U_3211,U_3212)
| ~ r2_hidden(U_3210,k5_relset_1(U_3212,U_3213,U_3211))
| ~ m1_subset_1(U_3210,U_3213)
| ~ m2_relset_1(U_3211,U_3212,U_3213)
| v1_xboole_0(U_3212)
| v1_xboole_0(U_3213) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP438])],[f_1151_3]) ).
cnf(f_1151_5,plain,
( sP438(U_3210,U_3213,U_3211,U_3212)
| ~ r2_hidden(U_3210,k5_relset_1(U_3212,U_3213,U_3211))
| ~ m1_subset_1(U_3210,U_3213)
| ~ m2_relset_1(U_3211,U_3212,U_3213)
| v1_xboole_0(U_3212)
| v1_xboole_0(U_3213) ),
inference(clausify,[status(thm)],[f_1151_4]) ).
cnf(f_1151_6,plain,
( m1_subset_1(sK300(U_3213,U_3212,U_3211,U_3210),U_3212)
| ~ sP438(U_3210,U_3213,U_3211,U_3212) ),
inference(clausify,[status(thm)],[f_1151_4]) ).
cnf(f_1151_7,plain,
( r2_hidden(sK300(U_3213,U_3212,U_3211,U_3210),k4_relset_1(U_3212,U_3213,U_3211))
| ~ sP438(U_3210,U_3213,U_3211,U_3212) ),
inference(clausify,[status(thm)],[f_1151_4]) ).
fof(f_1152_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( ( ( r2_hidden(k4_tarski(F,G),k7_relset_1(A,B,B,C,D,E))
| ! [H] :
( ~ r2_hidden(k4_tarski(H,G),E)
| ~ r2_hidden(k4_tarski(F,H),D)
| ~ m1_subset_1(H,B) ) )
& ( ? [H] :
( r2_hidden(k4_tarski(H,G),E)
& r2_hidden(k4_tarski(F,H),D)
& m1_subset_1(H,B) )
| ~ r2_hidden(k4_tarski(F,G),k7_relset_1(A,B,B,C,D,E)) ) )
| ~ m1_subset_1(G,C) )
| ~ m1_subset_1(F,A) )
| ~ m2_relset_1(E,B,C) )
| ~ m2_relset_1(D,A,B) )
| v1_xboole_0(C) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t51_relset_1]) ).
fof(f_1152_2,plain,
! [U_3222] :
( ! [U_3221] :
( ! [U_3220] :
( ! [U_3219] :
( ! [U_3218] :
( ! [U_3217] :
( ! [U_3216] :
( ( ( r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218))
| ! [U_3215] :
( ~ r2_hidden(k4_tarski(U_3215,U_3216),U_3218)
| ~ r2_hidden(k4_tarski(U_3217,U_3215),U_3219)
| ~ m1_subset_1(U_3215,U_3221) ) )
& ( ? [U_3214] :
( r2_hidden(k4_tarski(U_3214,U_3216),U_3218)
& r2_hidden(k4_tarski(U_3217,U_3214),U_3219)
& m1_subset_1(U_3214,U_3221) )
| ~ r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218)) ) )
| ~ m1_subset_1(U_3216,U_3220) )
| ~ m1_subset_1(U_3217,U_3222) )
| ~ m2_relset_1(U_3218,U_3221,U_3220) )
| ~ m2_relset_1(U_3219,U_3222,U_3221) )
| v1_xboole_0(U_3220) )
| v1_xboole_0(U_3221) )
| v1_xboole_0(U_3222) ),
inference(variable_rename,[status(thm)],[f_1152_1]) ).
fof(f_1152_3,plain,
! [U_3222] :
( ! [U_3221] :
( ! [U_3220] :
( ! [U_3219] :
( ! [U_3218] :
( ! [U_3217] :
( ! [U_3216] :
( ( ( r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218))
| ! [U_3215] :
( ~ r2_hidden(k4_tarski(U_3215,U_3216),U_3218)
| ~ r2_hidden(k4_tarski(U_3217,U_3215),U_3219)
| ~ m1_subset_1(U_3215,U_3221) ) )
& ( ( r2_hidden(k4_tarski(sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216),U_3216),U_3218)
& r2_hidden(k4_tarski(U_3217,sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216)),U_3219)
& m1_subset_1(sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216),U_3221) )
| ~ r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218)) ) )
| ~ m1_subset_1(U_3216,U_3220) )
| ~ m1_subset_1(U_3217,U_3222) )
| ~ m2_relset_1(U_3218,U_3221,U_3220) )
| ~ m2_relset_1(U_3219,U_3222,U_3221) )
| v1_xboole_0(U_3220) )
| v1_xboole_0(U_3221) )
| v1_xboole_0(U_3222) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK301]),skolemize(U_3214,sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216))],[f_1152_2]) ).
fof(f_1152_4,plain,
( ! [U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218] :
( r2_hidden(k4_tarski(sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216),U_3216),U_3218)
| ~ sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218) )
& ! [U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218] :
( r2_hidden(k4_tarski(U_3217,sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216)),U_3219)
| ~ sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218) )
& ! [U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218] :
( m1_subset_1(sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216),U_3221)
| ~ sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218) )
& ! [U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218] :
( r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218))
| ~ r2_hidden(k4_tarski(U_3215,U_3216),U_3218)
| ~ r2_hidden(k4_tarski(U_3217,U_3215),U_3219)
| ~ m1_subset_1(U_3215,U_3221)
| ~ sP440(U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218) )
& ! [U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218] :
( sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218)
| ~ r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218))
| ~ sP440(U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218) )
& ! [U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218] :
( sP440(U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218)
| ~ m1_subset_1(U_3216,U_3220)
| ~ m1_subset_1(U_3217,U_3222)
| ~ m2_relset_1(U_3218,U_3221,U_3220)
| ~ m2_relset_1(U_3219,U_3222,U_3221)
| v1_xboole_0(U_3220)
| v1_xboole_0(U_3221)
| v1_xboole_0(U_3222) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP439,sP440])],[f_1152_3]) ).
cnf(f_1152_5,plain,
( sP440(U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218)
| ~ m1_subset_1(U_3216,U_3220)
| ~ m1_subset_1(U_3217,U_3222)
| ~ m2_relset_1(U_3218,U_3221,U_3220)
| ~ m2_relset_1(U_3219,U_3222,U_3221)
| v1_xboole_0(U_3220)
| v1_xboole_0(U_3221)
| v1_xboole_0(U_3222) ),
inference(clausify,[status(thm)],[f_1152_4]) ).
cnf(f_1152_6,plain,
( sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218)
| ~ r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218))
| ~ sP440(U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218) ),
inference(clausify,[status(thm)],[f_1152_4]) ).
cnf(f_1152_7,plain,
( r2_hidden(k4_tarski(U_3217,U_3216),k7_relset_1(U_3222,U_3221,U_3221,U_3220,U_3219,U_3218))
| ~ r2_hidden(k4_tarski(U_3215,U_3216),U_3218)
| ~ r2_hidden(k4_tarski(U_3217,U_3215),U_3219)
| ~ m1_subset_1(U_3215,U_3221)
| ~ sP440(U_3221,U_3222,U_3219,U_3215,U_3220,U_3216,U_3217,U_3218) ),
inference(clausify,[status(thm)],[f_1152_4]) ).
cnf(f_1152_8,plain,
( m1_subset_1(sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216),U_3221)
| ~ sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218) ),
inference(clausify,[status(thm)],[f_1152_4]) ).
cnf(f_1152_9,plain,
( r2_hidden(k4_tarski(U_3217,sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216)),U_3219)
| ~ sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218) ),
inference(clausify,[status(thm)],[f_1152_4]) ).
cnf(f_1152_10,plain,
( r2_hidden(k4_tarski(sK301(U_3222,U_3221,U_3220,U_3219,U_3218,U_3217,U_3216),U_3216),U_3218)
| ~ sP439(U_3221,U_3222,U_3219,U_3220,U_3216,U_3217,U_3218) ),
inference(clausify,[status(thm)],[f_1152_4]) ).
fof(f_1153_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(E,k10_relset_1(C,A,D,B))
| ! [F] :
( ~ r2_hidden(F,B)
| ~ r2_hidden(k4_tarski(F,E),D)
| ~ m1_subset_1(F,C) ) )
& ( ? [F] :
( r2_hidden(F,B)
& r2_hidden(k4_tarski(F,E),D)
& m1_subset_1(F,C) )
| ~ r2_hidden(E,k10_relset_1(C,A,D,B)) ) )
| ~ m1_subset_1(E,A) )
| ~ m2_relset_1(D,C,A) )
| v1_xboole_0(C) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t52_relset_1]) ).
fof(f_1153_2,plain,
! [U_3229] :
( ! [U_3228] :
( ! [U_3227] :
( ! [U_3226] :
( ! [U_3225] :
( ( ( r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228))
| ! [U_3224] :
( ~ r2_hidden(U_3224,U_3228)
| ~ r2_hidden(k4_tarski(U_3224,U_3225),U_3226)
| ~ m1_subset_1(U_3224,U_3227) ) )
& ( ? [U_3223] :
( r2_hidden(U_3223,U_3228)
& r2_hidden(k4_tarski(U_3223,U_3225),U_3226)
& m1_subset_1(U_3223,U_3227) )
| ~ r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228)) ) )
| ~ m1_subset_1(U_3225,U_3229) )
| ~ m2_relset_1(U_3226,U_3227,U_3229) )
| v1_xboole_0(U_3227) )
| v1_xboole_0(U_3228) )
| v1_xboole_0(U_3229) ),
inference(variable_rename,[status(thm)],[f_1153_1]) ).
fof(f_1153_3,plain,
! [U_3229] :
( ! [U_3228] :
( ! [U_3227] :
( ! [U_3226] :
( ! [U_3225] :
( ( ( r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228))
| ! [U_3224] :
( ~ r2_hidden(U_3224,U_3228)
| ~ r2_hidden(k4_tarski(U_3224,U_3225),U_3226)
| ~ m1_subset_1(U_3224,U_3227) ) )
& ( ( r2_hidden(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3228)
& r2_hidden(k4_tarski(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3225),U_3226)
& m1_subset_1(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3227) )
| ~ r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228)) ) )
| ~ m1_subset_1(U_3225,U_3229) )
| ~ m2_relset_1(U_3226,U_3227,U_3229) )
| v1_xboole_0(U_3227) )
| v1_xboole_0(U_3228) )
| v1_xboole_0(U_3229) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK302]),skolemize(U_3223,sK302(U_3229,U_3228,U_3227,U_3226,U_3225))],[f_1153_2]) ).
fof(f_1153_4,plain,
( ! [U_3229,U_3225,U_3226,U_3227,U_3228] :
( r2_hidden(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3228)
| ~ sP441(U_3229,U_3225,U_3226,U_3227,U_3228) )
& ! [U_3229,U_3225,U_3226,U_3227,U_3228] :
( r2_hidden(k4_tarski(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3225),U_3226)
| ~ sP441(U_3229,U_3225,U_3226,U_3227,U_3228) )
& ! [U_3229,U_3225,U_3226,U_3227,U_3228] :
( m1_subset_1(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3227)
| ~ sP441(U_3229,U_3225,U_3226,U_3227,U_3228) )
& ! [U_3224,U_3229,U_3225,U_3226,U_3227,U_3228] :
( r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228))
| ~ r2_hidden(U_3224,U_3228)
| ~ r2_hidden(k4_tarski(U_3224,U_3225),U_3226)
| ~ m1_subset_1(U_3224,U_3227)
| ~ sP442(U_3224,U_3229,U_3225,U_3226,U_3227,U_3228) )
& ! [U_3224,U_3229,U_3225,U_3226,U_3227,U_3228] :
( sP441(U_3229,U_3225,U_3226,U_3227,U_3228)
| ~ r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228))
| ~ sP442(U_3224,U_3229,U_3225,U_3226,U_3227,U_3228) )
& ! [U_3224,U_3229,U_3225,U_3226,U_3227,U_3228] :
( sP442(U_3224,U_3229,U_3225,U_3226,U_3227,U_3228)
| ~ m1_subset_1(U_3225,U_3229)
| ~ m2_relset_1(U_3226,U_3227,U_3229)
| v1_xboole_0(U_3227)
| v1_xboole_0(U_3228)
| v1_xboole_0(U_3229) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP441,sP442])],[f_1153_3]) ).
cnf(f_1153_5,plain,
( sP442(U_3224,U_3229,U_3225,U_3226,U_3227,U_3228)
| ~ m1_subset_1(U_3225,U_3229)
| ~ m2_relset_1(U_3226,U_3227,U_3229)
| v1_xboole_0(U_3227)
| v1_xboole_0(U_3228)
| v1_xboole_0(U_3229) ),
inference(clausify,[status(thm)],[f_1153_4]) ).
cnf(f_1153_6,plain,
( sP441(U_3229,U_3225,U_3226,U_3227,U_3228)
| ~ r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228))
| ~ sP442(U_3224,U_3229,U_3225,U_3226,U_3227,U_3228) ),
inference(clausify,[status(thm)],[f_1153_4]) ).
cnf(f_1153_7,plain,
( r2_hidden(U_3225,k10_relset_1(U_3227,U_3229,U_3226,U_3228))
| ~ r2_hidden(U_3224,U_3228)
| ~ r2_hidden(k4_tarski(U_3224,U_3225),U_3226)
| ~ m1_subset_1(U_3224,U_3227)
| ~ sP442(U_3224,U_3229,U_3225,U_3226,U_3227,U_3228) ),
inference(clausify,[status(thm)],[f_1153_4]) ).
cnf(f_1153_8,plain,
( m1_subset_1(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3227)
| ~ sP441(U_3229,U_3225,U_3226,U_3227,U_3228) ),
inference(clausify,[status(thm)],[f_1153_4]) ).
cnf(f_1153_9,plain,
( r2_hidden(k4_tarski(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3225),U_3226)
| ~ sP441(U_3229,U_3225,U_3226,U_3227,U_3228) ),
inference(clausify,[status(thm)],[f_1153_4]) ).
cnf(f_1153_10,plain,
( r2_hidden(sK302(U_3229,U_3228,U_3227,U_3226,U_3225),U_3228)
| ~ sP441(U_3229,U_3225,U_3226,U_3227,U_3228) ),
inference(clausify,[status(thm)],[f_1153_4]) ).
fof(f_1154_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(E,k11_relset_1(A,C,D,B))
| ! [F] :
( ~ r2_hidden(F,B)
| ~ r2_hidden(k4_tarski(E,F),D)
| ~ m1_subset_1(F,C) ) )
& ( ? [F] :
( r2_hidden(F,B)
& r2_hidden(k4_tarski(E,F),D)
& m1_subset_1(F,C) )
| ~ r2_hidden(E,k11_relset_1(A,C,D,B)) ) )
| ~ m1_subset_1(E,A) )
| ~ m2_relset_1(D,A,C) )
| v1_xboole_0(C) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t53_relset_1]) ).
fof(f_1154_2,plain,
! [U_3236] :
( ! [U_3235] :
( ! [U_3234] :
( ! [U_3233] :
( ! [U_3232] :
( ( ( r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235))
| ! [U_3231] :
( ~ r2_hidden(U_3231,U_3235)
| ~ r2_hidden(k4_tarski(U_3232,U_3231),U_3233)
| ~ m1_subset_1(U_3231,U_3234) ) )
& ( ? [U_3230] :
( r2_hidden(U_3230,U_3235)
& r2_hidden(k4_tarski(U_3232,U_3230),U_3233)
& m1_subset_1(U_3230,U_3234) )
| ~ r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235)) ) )
| ~ m1_subset_1(U_3232,U_3236) )
| ~ m2_relset_1(U_3233,U_3236,U_3234) )
| v1_xboole_0(U_3234) )
| v1_xboole_0(U_3235) )
| v1_xboole_0(U_3236) ),
inference(variable_rename,[status(thm)],[f_1154_1]) ).
fof(f_1154_3,plain,
! [U_3236] :
( ! [U_3235] :
( ! [U_3234] :
( ! [U_3233] :
( ! [U_3232] :
( ( ( r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235))
| ! [U_3231] :
( ~ r2_hidden(U_3231,U_3235)
| ~ r2_hidden(k4_tarski(U_3232,U_3231),U_3233)
| ~ m1_subset_1(U_3231,U_3234) ) )
& ( ( r2_hidden(sK303(U_3236,U_3235,U_3234,U_3233,U_3232),U_3235)
& r2_hidden(k4_tarski(U_3232,sK303(U_3236,U_3235,U_3234,U_3233,U_3232)),U_3233)
& m1_subset_1(sK303(U_3236,U_3235,U_3234,U_3233,U_3232),U_3234) )
| ~ r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235)) ) )
| ~ m1_subset_1(U_3232,U_3236) )
| ~ m2_relset_1(U_3233,U_3236,U_3234) )
| v1_xboole_0(U_3234) )
| v1_xboole_0(U_3235) )
| v1_xboole_0(U_3236) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK303]),skolemize(U_3230,sK303(U_3236,U_3235,U_3234,U_3233,U_3232))],[f_1154_2]) ).
fof(f_1154_4,plain,
( ! [U_3234,U_3232,U_3233,U_3235,U_3236] :
( r2_hidden(sK303(U_3236,U_3235,U_3234,U_3233,U_3232),U_3235)
| ~ sP443(U_3234,U_3232,U_3233,U_3235,U_3236) )
& ! [U_3234,U_3232,U_3233,U_3235,U_3236] :
( r2_hidden(k4_tarski(U_3232,sK303(U_3236,U_3235,U_3234,U_3233,U_3232)),U_3233)
| ~ sP443(U_3234,U_3232,U_3233,U_3235,U_3236) )
& ! [U_3234,U_3232,U_3233,U_3235,U_3236] :
( m1_subset_1(sK303(U_3236,U_3235,U_3234,U_3233,U_3232),U_3234)
| ~ sP443(U_3234,U_3232,U_3233,U_3235,U_3236) )
& ! [U_3234,U_3232,U_3233,U_3235,U_3236,U_3231] :
( r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235))
| ~ r2_hidden(U_3231,U_3235)
| ~ r2_hidden(k4_tarski(U_3232,U_3231),U_3233)
| ~ m1_subset_1(U_3231,U_3234)
| ~ sP444(U_3234,U_3232,U_3233,U_3235,U_3236,U_3231) )
& ! [U_3234,U_3232,U_3233,U_3235,U_3236,U_3231] :
( sP443(U_3234,U_3232,U_3233,U_3235,U_3236)
| ~ r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235))
| ~ sP444(U_3234,U_3232,U_3233,U_3235,U_3236,U_3231) )
& ! [U_3234,U_3232,U_3233,U_3235,U_3236,U_3231] :
( sP444(U_3234,U_3232,U_3233,U_3235,U_3236,U_3231)
| ~ m1_subset_1(U_3232,U_3236)
| ~ m2_relset_1(U_3233,U_3236,U_3234)
| v1_xboole_0(U_3234)
| v1_xboole_0(U_3235)
| v1_xboole_0(U_3236) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP443,sP444])],[f_1154_3]) ).
cnf(f_1154_5,plain,
( sP444(U_3234,U_3232,U_3233,U_3235,U_3236,U_3231)
| ~ m1_subset_1(U_3232,U_3236)
| ~ m2_relset_1(U_3233,U_3236,U_3234)
| v1_xboole_0(U_3234)
| v1_xboole_0(U_3235)
| v1_xboole_0(U_3236) ),
inference(clausify,[status(thm)],[f_1154_4]) ).
cnf(f_1154_6,plain,
( sP443(U_3234,U_3232,U_3233,U_3235,U_3236)
| ~ r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235))
| ~ sP444(U_3234,U_3232,U_3233,U_3235,U_3236,U_3231) ),
inference(clausify,[status(thm)],[f_1154_4]) ).
cnf(f_1154_7,plain,
( r2_hidden(U_3232,k11_relset_1(U_3236,U_3234,U_3233,U_3235))
| ~ r2_hidden(U_3231,U_3235)
| ~ r2_hidden(k4_tarski(U_3232,U_3231),U_3233)
| ~ m1_subset_1(U_3231,U_3234)
| ~ sP444(U_3234,U_3232,U_3233,U_3235,U_3236,U_3231) ),
inference(clausify,[status(thm)],[f_1154_4]) ).
cnf(f_1154_8,plain,
( m1_subset_1(sK303(U_3236,U_3235,U_3234,U_3233,U_3232),U_3234)
| ~ sP443(U_3234,U_3232,U_3233,U_3235,U_3236) ),
inference(clausify,[status(thm)],[f_1154_4]) ).
cnf(f_1154_9,plain,
( r2_hidden(k4_tarski(U_3232,sK303(U_3236,U_3235,U_3234,U_3233,U_3232)),U_3233)
| ~ sP443(U_3234,U_3232,U_3233,U_3235,U_3236) ),
inference(clausify,[status(thm)],[f_1154_4]) ).
cnf(f_1154_10,plain,
( r2_hidden(sK303(U_3236,U_3235,U_3234,U_3233,U_3232),U_3235)
| ~ sP443(U_3234,U_3232,U_3233,U_3235,U_3236) ),
inference(clausify,[status(thm)],[f_1154_4]) ).
fof(f_1155_1,plain,
? [A] :
( ! [B,C] :
( ( r2_hidden(k4_tarski(B,C),A)
| ~ p1_s1_relset_1(B,C)
| ~ r2_hidden(C,f2_s1_relset_1)
| ~ r2_hidden(B,f1_s1_relset_1) )
& ( ( p1_s1_relset_1(B,C)
& r2_hidden(C,f2_s1_relset_1)
& r2_hidden(B,f1_s1_relset_1) )
| ~ r2_hidden(k4_tarski(B,C),A) ) )
& m2_relset_1(A,f1_s1_relset_1,f2_s1_relset_1) ),
inference(fof_nnf,[status(thm)],[s1_relset_1]) ).
fof(f_1155_2,plain,
? [U_3239] :
( ! [U_3238,U_3237] :
( ( r2_hidden(k4_tarski(U_3238,U_3237),U_3239)
| ~ p1_s1_relset_1(U_3238,U_3237)
| ~ r2_hidden(U_3237,f2_s1_relset_1)
| ~ r2_hidden(U_3238,f1_s1_relset_1) )
& ( ( p1_s1_relset_1(U_3238,U_3237)
& r2_hidden(U_3237,f2_s1_relset_1)
& r2_hidden(U_3238,f1_s1_relset_1) )
| ~ r2_hidden(k4_tarski(U_3238,U_3237),U_3239) ) )
& m2_relset_1(U_3239,f1_s1_relset_1,f2_s1_relset_1) ),
inference(variable_rename,[status(thm)],[f_1155_1]) ).
fof(f_1155_3,plain,
? [U_3239] :
( ! [U_3243,U_3241] :
( r2_hidden(k4_tarski(U_3243,U_3241),U_3239)
| ~ p1_s1_relset_1(U_3243,U_3241)
| ~ r2_hidden(U_3241,f2_s1_relset_1)
| ~ r2_hidden(U_3243,f1_s1_relset_1) )
& ! [U_3242,U_3240] :
( ( p1_s1_relset_1(U_3242,U_3240)
& r2_hidden(U_3240,f2_s1_relset_1)
& r2_hidden(U_3242,f1_s1_relset_1) )
| ~ r2_hidden(k4_tarski(U_3242,U_3240),U_3239) )
& m2_relset_1(U_3239,f1_s1_relset_1,f2_s1_relset_1) ),
inference(miniscope,[status(thm)],[f_1155_2]) ).
fof(f_1155_4,plain,
( ! [U_3243,U_3241] :
( r2_hidden(k4_tarski(U_3243,U_3241),sK304)
| ~ p1_s1_relset_1(U_3243,U_3241)
| ~ r2_hidden(U_3241,f2_s1_relset_1)
| ~ r2_hidden(U_3243,f1_s1_relset_1) )
& ! [U_3242,U_3240] :
( ( p1_s1_relset_1(U_3242,U_3240)
& r2_hidden(U_3240,f2_s1_relset_1)
& r2_hidden(U_3242,f1_s1_relset_1) )
| ~ r2_hidden(k4_tarski(U_3242,U_3240),sK304) )
& m2_relset_1(sK304,f1_s1_relset_1,f2_s1_relset_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK304]),skolemize(U_3239,sK304)],[f_1155_3]) ).
fof(f_1155_5,plain,
( ! [U_3242,U_3240] :
( p1_s1_relset_1(U_3242,U_3240)
| ~ sP445(U_3242,U_3240) )
& ! [U_3242,U_3240] :
( r2_hidden(U_3240,f2_s1_relset_1)
| ~ sP445(U_3242,U_3240) )
& ! [U_3242,U_3240] :
( r2_hidden(U_3242,f1_s1_relset_1)
| ~ sP445(U_3242,U_3240) )
& ! [U_3241,U_3243] :
( r2_hidden(k4_tarski(U_3243,U_3241),sK304)
| ~ p1_s1_relset_1(U_3243,U_3241)
| ~ r2_hidden(U_3241,f2_s1_relset_1)
| ~ r2_hidden(U_3243,f1_s1_relset_1) )
& ! [U_3242,U_3240] :
( sP445(U_3242,U_3240)
| ~ r2_hidden(k4_tarski(U_3242,U_3240),sK304) )
& m2_relset_1(sK304,f1_s1_relset_1,f2_s1_relset_1) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP445])],[f_1155_4]) ).
cnf(f_1155_6,plain,
m2_relset_1(sK304,f1_s1_relset_1,f2_s1_relset_1),
inference(clausify,[status(thm)],[f_1155_5]) ).
cnf(f_1155_7,plain,
( sP445(U_3242,U_3240)
| ~ r2_hidden(k4_tarski(U_3242,U_3240),sK304) ),
inference(clausify,[status(thm)],[f_1155_5]) ).
cnf(f_1155_8,plain,
( r2_hidden(k4_tarski(U_3243,U_3241),sK304)
| ~ p1_s1_relset_1(U_3243,U_3241)
| ~ r2_hidden(U_3241,f2_s1_relset_1)
| ~ r2_hidden(U_3243,f1_s1_relset_1) ),
inference(clausify,[status(thm)],[f_1155_5]) ).
cnf(f_1155_9,plain,
( r2_hidden(U_3242,f1_s1_relset_1)
| ~ sP445(U_3242,U_3240) ),
inference(clausify,[status(thm)],[f_1155_5]) ).
cnf(f_1155_10,plain,
( r2_hidden(U_3240,f2_s1_relset_1)
| ~ sP445(U_3242,U_3240) ),
inference(clausify,[status(thm)],[f_1155_5]) ).
cnf(f_1155_11,plain,
( p1_s1_relset_1(U_3242,U_3240)
| ~ sP445(U_3242,U_3240) ),
inference(clausify,[status(thm)],[f_1155_5]) ).
fof(f_1156_1,plain,
? [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(k4_tarski(B,C),A)
| ~ p1_s2_relset_1(B,C) )
& ( p1_s2_relset_1(B,C)
| ~ r2_hidden(k4_tarski(B,C),A) ) )
| ~ m1_subset_1(C,f2_s2_relset_1) )
| ~ m1_subset_1(B,f1_s2_relset_1) )
& m2_relset_1(A,f1_s2_relset_1,f2_s2_relset_1) ),
inference(fof_nnf,[status(thm)],[s2_relset_1]) ).
fof(f_1156_2,plain,
? [U_3246] :
( ! [U_3245] :
( ! [U_3244] :
( ( ( r2_hidden(k4_tarski(U_3245,U_3244),U_3246)
| ~ p1_s2_relset_1(U_3245,U_3244) )
& ( p1_s2_relset_1(U_3245,U_3244)
| ~ r2_hidden(k4_tarski(U_3245,U_3244),U_3246) ) )
| ~ m1_subset_1(U_3244,f2_s2_relset_1) )
| ~ m1_subset_1(U_3245,f1_s2_relset_1) )
& m2_relset_1(U_3246,f1_s2_relset_1,f2_s2_relset_1) ),
inference(variable_rename,[status(thm)],[f_1156_1]) ).
fof(f_1156_3,plain,
( ! [U_3245] :
( ! [U_3244] :
( ( ( r2_hidden(k4_tarski(U_3245,U_3244),sK305)
| ~ p1_s2_relset_1(U_3245,U_3244) )
& ( p1_s2_relset_1(U_3245,U_3244)
| ~ r2_hidden(k4_tarski(U_3245,U_3244),sK305) ) )
| ~ m1_subset_1(U_3244,f2_s2_relset_1) )
| ~ m1_subset_1(U_3245,f1_s2_relset_1) )
& m2_relset_1(sK305,f1_s2_relset_1,f2_s2_relset_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK305]),skolemize(U_3246,sK305)],[f_1156_2]) ).
fof(f_1156_4,plain,
( ! [U_3244,U_3245] :
( r2_hidden(k4_tarski(U_3245,U_3244),sK305)
| ~ p1_s2_relset_1(U_3245,U_3244)
| ~ sP446(U_3244,U_3245) )
& ! [U_3244,U_3245] :
( p1_s2_relset_1(U_3245,U_3244)
| ~ r2_hidden(k4_tarski(U_3245,U_3244),sK305)
| ~ sP446(U_3244,U_3245) )
& ! [U_3244,U_3245] :
( sP446(U_3244,U_3245)
| ~ m1_subset_1(U_3244,f2_s2_relset_1)
| ~ m1_subset_1(U_3245,f1_s2_relset_1) )
& m2_relset_1(sK305,f1_s2_relset_1,f2_s2_relset_1) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP446])],[f_1156_3]) ).
cnf(f_1156_5,plain,
m2_relset_1(sK305,f1_s2_relset_1,f2_s2_relset_1),
inference(clausify,[status(thm)],[f_1156_4]) ).
cnf(f_1156_6,plain,
( sP446(U_3244,U_3245)
| ~ m1_subset_1(U_3244,f2_s2_relset_1)
| ~ m1_subset_1(U_3245,f1_s2_relset_1) ),
inference(clausify,[status(thm)],[f_1156_4]) ).
cnf(f_1156_7,plain,
( p1_s2_relset_1(U_3245,U_3244)
| ~ r2_hidden(k4_tarski(U_3245,U_3244),sK305)
| ~ sP446(U_3244,U_3245) ),
inference(clausify,[status(thm)],[f_1156_4]) ).
cnf(f_1156_8,plain,
( r2_hidden(k4_tarski(U_3245,U_3244),sK305)
| ~ p1_s2_relset_1(U_3245,U_3244)
| ~ sP446(U_3244,U_3245) ),
inference(clausify,[status(thm)],[f_1156_4]) ).
fof(f_1157_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
fof(f_1157_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1157_1]) ).
cnf(f_1157_3,plain,
$true,
inference(clausify,[status(thm)],[f_1157_2]) ).
fof(f_1158_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_1158_2,plain,
! [U_3249,U_3248] :
? [U_3247] : m1_relset_1(U_3247,U_3249,U_3248),
inference(variable_rename,[status(thm)],[f_1158_1]) ).
fof(f_1158_3,plain,
! [U_3249,U_3248] : m1_relset_1(sK306(U_3249,U_3248),U_3249,U_3248),
inference(skolemize,[status(esa),new_symbols(skolem,[sK306]),skolemize(U_3247,sK306(U_3249,U_3248))],[f_1158_2]) ).
fof(f_1158_4,plain,
! [U_3249,U_3248] : m1_relset_1(sK306(U_3249,U_3248),U_3249,U_3248),
inference(definitional_conversion,[status(esa)],[f_1158_3]) ).
cnf(f_1158_5,plain,
m1_relset_1(sK306(U_3249,U_3248),U_3249,U_3248),
inference(clausify,[status(thm)],[f_1158_4]) ).
fof(f_1159_1,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_m2_relset_1]) ).
fof(f_1159_2,plain,
! [U_3252,U_3251,U_3250] :
( m1_subset_1(U_3250,k1_zfmisc_1(k2_zfmisc_1(U_3252,U_3251)))
| ~ m2_relset_1(U_3250,U_3252,U_3251) ),
inference(variable_rename,[status(thm)],[f_1159_1]) ).
fof(f_1159_3,plain,
! [U_3252,U_3251,U_3250] :
( m1_subset_1(U_3250,k1_zfmisc_1(k2_zfmisc_1(U_3252,U_3251)))
| ~ m2_relset_1(U_3250,U_3252,U_3251) ),
inference(definitional_conversion,[status(esa)],[f_1159_2]) ).
cnf(f_1159_4,plain,
( m1_subset_1(U_3250,k1_zfmisc_1(k2_zfmisc_1(U_3252,U_3251)))
| ~ m2_relset_1(U_3250,U_3252,U_3251) ),
inference(clausify,[status(thm)],[f_1159_3]) ).
fof(f_1160_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_1160_2,plain,
! [U_3255,U_3254] :
? [U_3253] : m2_relset_1(U_3253,U_3255,U_3254),
inference(variable_rename,[status(thm)],[f_1160_1]) ).
fof(f_1160_3,plain,
! [U_3255,U_3254] : m2_relset_1(sK307(U_3255,U_3254),U_3255,U_3254),
inference(skolemize,[status(esa),new_symbols(skolem,[sK307]),skolemize(U_3253,sK307(U_3255,U_3254))],[f_1160_2]) ).
fof(f_1160_4,plain,
! [U_3254,U_3255] : m2_relset_1(sK307(U_3255,U_3254),U_3255,U_3254),
inference(definitional_conversion,[status(esa)],[f_1160_3]) ).
cnf(f_1160_5,plain,
m2_relset_1(sK307(U_3255,U_3254),U_3255,U_3254),
inference(clausify,[status(thm)],[f_1160_4]) ).
fof(f_1161_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1]) ).
fof(f_1161_2,plain,
! [U_3258,U_3257,U_3256] :
( ( m2_relset_1(U_3256,U_3258,U_3257)
| ~ m1_relset_1(U_3256,U_3258,U_3257) )
& ( m1_relset_1(U_3256,U_3258,U_3257)
| ~ m2_relset_1(U_3256,U_3258,U_3257) ) ),
inference(variable_rename,[status(thm)],[f_1161_1]) ).
fof(f_1161_3,plain,
( ! [U_3264,U_3262,U_3260] :
( m2_relset_1(U_3260,U_3264,U_3262)
| ~ m1_relset_1(U_3260,U_3264,U_3262) )
& ! [U_3263,U_3261,U_3259] :
( m1_relset_1(U_3259,U_3263,U_3261)
| ~ m2_relset_1(U_3259,U_3263,U_3261) ) ),
inference(miniscope,[status(thm)],[f_1161_2]) ).
fof(f_1161_4,plain,
( ! [U_3262,U_3260,U_3264] :
( m2_relset_1(U_3260,U_3264,U_3262)
| ~ m1_relset_1(U_3260,U_3264,U_3262) )
& ! [U_3261,U_3259,U_3263] :
( m1_relset_1(U_3259,U_3263,U_3261)
| ~ m2_relset_1(U_3259,U_3263,U_3261) ) ),
inference(definitional_conversion,[status(esa)],[f_1161_3]) ).
cnf(f_1161_5,plain,
( m1_relset_1(U_3259,U_3263,U_3261)
| ~ m2_relset_1(U_3259,U_3263,U_3261) ),
inference(clausify,[status(thm)],[f_1161_4]) ).
cnf(f_1161_6,plain,
( m2_relset_1(U_3260,U_3264,U_3262)
| ~ m1_relset_1(U_3260,U_3264,U_3262) ),
inference(clausify,[status(thm)],[f_1161_4]) ).
fof(f_1162_1,plain,
! [A,B,C,D] :
( m2_relset_1(k1_relset_1(A,B,C,D),A,B)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k1_relset_1]) ).
fof(f_1162_2,plain,
! [U_3268,U_3267,U_3266,U_3265] :
( m2_relset_1(k1_relset_1(U_3268,U_3267,U_3266,U_3265),U_3268,U_3267)
| ~ m1_relset_1(U_3265,U_3268,U_3267)
| ~ m1_relset_1(U_3266,U_3268,U_3267) ),
inference(variable_rename,[status(thm)],[f_1162_1]) ).
fof(f_1162_3,plain,
! [U_3266,U_3267,U_3268,U_3265] :
( m2_relset_1(k1_relset_1(U_3268,U_3267,U_3266,U_3265),U_3268,U_3267)
| ~ m1_relset_1(U_3265,U_3268,U_3267)
| ~ m1_relset_1(U_3266,U_3268,U_3267) ),
inference(definitional_conversion,[status(esa)],[f_1162_2]) ).
cnf(f_1162_4,plain,
( m2_relset_1(k1_relset_1(U_3268,U_3267,U_3266,U_3265),U_3268,U_3267)
| ~ m1_relset_1(U_3265,U_3268,U_3267)
| ~ m1_relset_1(U_3266,U_3268,U_3267) ),
inference(clausify,[status(thm)],[f_1162_3]) ).
fof(f_1163_1,plain,
! [A,B,C,D] :
( k1_relset_1(A,B,C,D) = k1_relset_1(A,B,D,C)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[commutativity_k1_relset_1]) ).
fof(f_1163_2,plain,
! [U_3272,U_3271,U_3270,U_3269] :
( k1_relset_1(U_3272,U_3271,U_3270,U_3269) = k1_relset_1(U_3272,U_3271,U_3269,U_3270)
| ~ m1_relset_1(U_3269,U_3272,U_3271)
| ~ m1_relset_1(U_3270,U_3272,U_3271) ),
inference(variable_rename,[status(thm)],[f_1163_1]) ).
fof(f_1163_3,plain,
! [U_3271,U_3269,U_3270,U_3272] :
( k1_relset_1(U_3272,U_3271,U_3270,U_3269) = k1_relset_1(U_3272,U_3271,U_3269,U_3270)
| ~ m1_relset_1(U_3269,U_3272,U_3271)
| ~ m1_relset_1(U_3270,U_3272,U_3271) ),
inference(definitional_conversion,[status(esa)],[f_1163_2]) ).
cnf(f_1163_4,plain,
( k1_relset_1(U_3272,U_3271,U_3270,U_3269) = k1_relset_1(U_3272,U_3271,U_3269,U_3270)
| ~ m1_relset_1(U_3269,U_3272,U_3271)
| ~ m1_relset_1(U_3270,U_3272,U_3271) ),
inference(clausify,[status(thm)],[f_1163_3]) ).
fof(f_1164_1,plain,
! [A,B,C,D] :
( k1_relset_1(A,B,C,C) = C
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[idempotence_k1_relset_1]) ).
fof(f_1164_2,plain,
! [U_3276,U_3275,U_3274,U_3273] :
( k1_relset_1(U_3276,U_3275,U_3274,U_3274) = U_3274
| ~ m1_relset_1(U_3273,U_3276,U_3275)
| ~ m1_relset_1(U_3274,U_3276,U_3275) ),
inference(variable_rename,[status(thm)],[f_1164_1]) ).
fof(f_1164_3,plain,
! [U_3276,U_3275,U_3274] :
( ! [U_3273] : ~ m1_relset_1(U_3273,U_3276,U_3275)
| ~ m1_relset_1(U_3274,U_3276,U_3275)
| k1_relset_1(U_3276,U_3275,U_3274,U_3274) = U_3274 ),
inference(miniscope,[status(thm)],[f_1164_2]) ).
fof(f_1164_4,plain,
! [U_3274,U_3275,U_3276,U_3273] :
( ~ m1_relset_1(U_3273,U_3276,U_3275)
| ~ m1_relset_1(U_3274,U_3276,U_3275)
| k1_relset_1(U_3276,U_3275,U_3274,U_3274) = U_3274 ),
inference(definitional_conversion,[status(esa)],[f_1164_3]) ).
cnf(f_1164_5,plain,
( ~ m1_relset_1(U_3273,U_3276,U_3275)
| ~ m1_relset_1(U_3274,U_3276,U_3275)
| k1_relset_1(U_3276,U_3275,U_3274,U_3274) = U_3274 ),
inference(clausify,[status(thm)],[f_1164_4]) ).
fof(f_1165_1,plain,
! [A,B,C,D] :
( k1_relset_1(A,B,C,D) = k2_xboole_0(C,D)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1]) ).
fof(f_1165_2,plain,
! [U_3280,U_3279,U_3278,U_3277] :
( k1_relset_1(U_3280,U_3279,U_3278,U_3277) = k2_xboole_0(U_3278,U_3277)
| ~ m1_relset_1(U_3277,U_3280,U_3279)
| ~ m1_relset_1(U_3278,U_3280,U_3279) ),
inference(variable_rename,[status(thm)],[f_1165_1]) ).
fof(f_1165_3,plain,
! [U_3278,U_3277,U_3279,U_3280] :
( k1_relset_1(U_3280,U_3279,U_3278,U_3277) = k2_xboole_0(U_3278,U_3277)
| ~ m1_relset_1(U_3277,U_3280,U_3279)
| ~ m1_relset_1(U_3278,U_3280,U_3279) ),
inference(definitional_conversion,[status(esa)],[f_1165_2]) ).
cnf(f_1165_4,plain,
( k1_relset_1(U_3280,U_3279,U_3278,U_3277) = k2_xboole_0(U_3278,U_3277)
| ~ m1_relset_1(U_3277,U_3280,U_3279)
| ~ m1_relset_1(U_3278,U_3280,U_3279) ),
inference(clausify,[status(thm)],[f_1165_3]) ).
fof(f_1166_1,plain,
! [A,B,C,D] :
( m2_relset_1(k2_relset_1(A,B,C,D),A,B)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k2_relset_1]) ).
fof(f_1166_2,plain,
! [U_3284,U_3283,U_3282,U_3281] :
( m2_relset_1(k2_relset_1(U_3284,U_3283,U_3282,U_3281),U_3284,U_3283)
| ~ m1_relset_1(U_3281,U_3284,U_3283)
| ~ m1_relset_1(U_3282,U_3284,U_3283) ),
inference(variable_rename,[status(thm)],[f_1166_1]) ).
fof(f_1166_3,plain,
! [U_3282,U_3283,U_3281,U_3284] :
( m2_relset_1(k2_relset_1(U_3284,U_3283,U_3282,U_3281),U_3284,U_3283)
| ~ m1_relset_1(U_3281,U_3284,U_3283)
| ~ m1_relset_1(U_3282,U_3284,U_3283) ),
inference(definitional_conversion,[status(esa)],[f_1166_2]) ).
cnf(f_1166_4,plain,
( m2_relset_1(k2_relset_1(U_3284,U_3283,U_3282,U_3281),U_3284,U_3283)
| ~ m1_relset_1(U_3281,U_3284,U_3283)
| ~ m1_relset_1(U_3282,U_3284,U_3283) ),
inference(clausify,[status(thm)],[f_1166_3]) ).
fof(f_1167_1,plain,
! [A,B,C,D] :
( k2_relset_1(A,B,C,D) = k2_relset_1(A,B,D,C)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[commutativity_k2_relset_1]) ).
fof(f_1167_2,plain,
! [U_3288,U_3287,U_3286,U_3285] :
( k2_relset_1(U_3288,U_3287,U_3286,U_3285) = k2_relset_1(U_3288,U_3287,U_3285,U_3286)
| ~ m1_relset_1(U_3285,U_3288,U_3287)
| ~ m1_relset_1(U_3286,U_3288,U_3287) ),
inference(variable_rename,[status(thm)],[f_1167_1]) ).
fof(f_1167_3,plain,
! [U_3285,U_3287,U_3286,U_3288] :
( k2_relset_1(U_3288,U_3287,U_3286,U_3285) = k2_relset_1(U_3288,U_3287,U_3285,U_3286)
| ~ m1_relset_1(U_3285,U_3288,U_3287)
| ~ m1_relset_1(U_3286,U_3288,U_3287) ),
inference(definitional_conversion,[status(esa)],[f_1167_2]) ).
cnf(f_1167_4,plain,
( k2_relset_1(U_3288,U_3287,U_3286,U_3285) = k2_relset_1(U_3288,U_3287,U_3285,U_3286)
| ~ m1_relset_1(U_3285,U_3288,U_3287)
| ~ m1_relset_1(U_3286,U_3288,U_3287) ),
inference(clausify,[status(thm)],[f_1167_3]) ).
fof(f_1168_1,plain,
! [A,B,C,D] :
( k2_relset_1(A,B,C,C) = C
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[idempotence_k2_relset_1]) ).
fof(f_1168_2,plain,
! [U_3292,U_3291,U_3290,U_3289] :
( k2_relset_1(U_3292,U_3291,U_3290,U_3290) = U_3290
| ~ m1_relset_1(U_3289,U_3292,U_3291)
| ~ m1_relset_1(U_3290,U_3292,U_3291) ),
inference(variable_rename,[status(thm)],[f_1168_1]) ).
fof(f_1168_3,plain,
! [U_3292,U_3291,U_3290] :
( ! [U_3289] : ~ m1_relset_1(U_3289,U_3292,U_3291)
| ~ m1_relset_1(U_3290,U_3292,U_3291)
| k2_relset_1(U_3292,U_3291,U_3290,U_3290) = U_3290 ),
inference(miniscope,[status(thm)],[f_1168_2]) ).
fof(f_1168_4,plain,
! [U_3289,U_3290,U_3292,U_3291] :
( ~ m1_relset_1(U_3289,U_3292,U_3291)
| ~ m1_relset_1(U_3290,U_3292,U_3291)
| k2_relset_1(U_3292,U_3291,U_3290,U_3290) = U_3290 ),
inference(definitional_conversion,[status(esa)],[f_1168_3]) ).
cnf(f_1168_5,plain,
( ~ m1_relset_1(U_3289,U_3292,U_3291)
| ~ m1_relset_1(U_3290,U_3292,U_3291)
| k2_relset_1(U_3292,U_3291,U_3290,U_3290) = U_3290 ),
inference(clausify,[status(thm)],[f_1168_4]) ).
fof(f_1169_1,plain,
! [A,B,C,D] :
( k2_relset_1(A,B,C,D) = k3_xboole_0(C,D)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k2_relset_1]) ).
fof(f_1169_2,plain,
! [U_3296,U_3295,U_3294,U_3293] :
( k2_relset_1(U_3296,U_3295,U_3294,U_3293) = k3_xboole_0(U_3294,U_3293)
| ~ m1_relset_1(U_3293,U_3296,U_3295)
| ~ m1_relset_1(U_3294,U_3296,U_3295) ),
inference(variable_rename,[status(thm)],[f_1169_1]) ).
fof(f_1169_3,plain,
! [U_3295,U_3296,U_3293,U_3294] :
( k2_relset_1(U_3296,U_3295,U_3294,U_3293) = k3_xboole_0(U_3294,U_3293)
| ~ m1_relset_1(U_3293,U_3296,U_3295)
| ~ m1_relset_1(U_3294,U_3296,U_3295) ),
inference(definitional_conversion,[status(esa)],[f_1169_2]) ).
cnf(f_1169_4,plain,
( k2_relset_1(U_3296,U_3295,U_3294,U_3293) = k3_xboole_0(U_3294,U_3293)
| ~ m1_relset_1(U_3293,U_3296,U_3295)
| ~ m1_relset_1(U_3294,U_3296,U_3295) ),
inference(clausify,[status(thm)],[f_1169_3]) ).
fof(f_1170_1,plain,
! [A,B,C,D] :
( m2_relset_1(k3_relset_1(A,B,C,D),A,B)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k3_relset_1]) ).
fof(f_1170_2,plain,
! [U_3300,U_3299,U_3298,U_3297] :
( m2_relset_1(k3_relset_1(U_3300,U_3299,U_3298,U_3297),U_3300,U_3299)
| ~ m1_relset_1(U_3297,U_3300,U_3299)
| ~ m1_relset_1(U_3298,U_3300,U_3299) ),
inference(variable_rename,[status(thm)],[f_1170_1]) ).
fof(f_1170_3,plain,
! [U_3298,U_3297,U_3299,U_3300] :
( m2_relset_1(k3_relset_1(U_3300,U_3299,U_3298,U_3297),U_3300,U_3299)
| ~ m1_relset_1(U_3297,U_3300,U_3299)
| ~ m1_relset_1(U_3298,U_3300,U_3299) ),
inference(definitional_conversion,[status(esa)],[f_1170_2]) ).
cnf(f_1170_4,plain,
( m2_relset_1(k3_relset_1(U_3300,U_3299,U_3298,U_3297),U_3300,U_3299)
| ~ m1_relset_1(U_3297,U_3300,U_3299)
| ~ m1_relset_1(U_3298,U_3300,U_3299) ),
inference(clausify,[status(thm)],[f_1170_3]) ).
fof(f_1171_1,plain,
! [A,B,C,D] :
( k3_relset_1(A,B,C,D) = k4_xboole_0(C,D)
| ~ m1_relset_1(D,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k3_relset_1]) ).
fof(f_1171_2,plain,
! [U_3304,U_3303,U_3302,U_3301] :
( k3_relset_1(U_3304,U_3303,U_3302,U_3301) = k4_xboole_0(U_3302,U_3301)
| ~ m1_relset_1(U_3301,U_3304,U_3303)
| ~ m1_relset_1(U_3302,U_3304,U_3303) ),
inference(variable_rename,[status(thm)],[f_1171_1]) ).
fof(f_1171_3,plain,
! [U_3301,U_3302,U_3303,U_3304] :
( k3_relset_1(U_3304,U_3303,U_3302,U_3301) = k4_xboole_0(U_3302,U_3301)
| ~ m1_relset_1(U_3301,U_3304,U_3303)
| ~ m1_relset_1(U_3302,U_3304,U_3303) ),
inference(definitional_conversion,[status(esa)],[f_1171_2]) ).
cnf(f_1171_4,plain,
( k3_relset_1(U_3304,U_3303,U_3302,U_3301) = k4_xboole_0(U_3302,U_3301)
| ~ m1_relset_1(U_3301,U_3304,U_3303)
| ~ m1_relset_1(U_3302,U_3304,U_3303) ),
inference(clausify,[status(thm)],[f_1171_3]) ).
fof(f_1172_1,plain,
! [A,B,C] :
( m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A))
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k4_relset_1]) ).
fof(f_1172_2,plain,
! [U_3307,U_3306,U_3305] :
( m1_subset_1(k4_relset_1(U_3307,U_3306,U_3305),k1_zfmisc_1(U_3307))
| ~ m1_relset_1(U_3305,U_3307,U_3306) ),
inference(variable_rename,[status(thm)],[f_1172_1]) ).
fof(f_1172_3,plain,
! [U_3306,U_3307,U_3305] :
( m1_subset_1(k4_relset_1(U_3307,U_3306,U_3305),k1_zfmisc_1(U_3307))
| ~ m1_relset_1(U_3305,U_3307,U_3306) ),
inference(definitional_conversion,[status(esa)],[f_1172_2]) ).
cnf(f_1172_4,plain,
( m1_subset_1(k4_relset_1(U_3307,U_3306,U_3305),k1_zfmisc_1(U_3307))
| ~ m1_relset_1(U_3305,U_3307,U_3306) ),
inference(clausify,[status(thm)],[f_1172_3]) ).
fof(f_1173_1,plain,
! [A,B,C] :
( k4_relset_1(A,B,C) = k1_relat_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1]) ).
fof(f_1173_2,plain,
! [U_3310,U_3309,U_3308] :
( k4_relset_1(U_3310,U_3309,U_3308) = k1_relat_1(U_3308)
| ~ m1_relset_1(U_3308,U_3310,U_3309) ),
inference(variable_rename,[status(thm)],[f_1173_1]) ).
fof(f_1173_3,plain,
! [U_3308,U_3309,U_3310] :
( k4_relset_1(U_3310,U_3309,U_3308) = k1_relat_1(U_3308)
| ~ m1_relset_1(U_3308,U_3310,U_3309) ),
inference(definitional_conversion,[status(esa)],[f_1173_2]) ).
cnf(f_1173_4,plain,
( k4_relset_1(U_3310,U_3309,U_3308) = k1_relat_1(U_3308)
| ~ m1_relset_1(U_3308,U_3310,U_3309) ),
inference(clausify,[status(thm)],[f_1173_3]) ).
fof(f_1174_1,plain,
! [A,B,C] :
( m1_subset_1(k5_relset_1(A,B,C),k1_zfmisc_1(B))
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k5_relset_1]) ).
fof(f_1174_2,plain,
! [U_3313,U_3312,U_3311] :
( m1_subset_1(k5_relset_1(U_3313,U_3312,U_3311),k1_zfmisc_1(U_3312))
| ~ m1_relset_1(U_3311,U_3313,U_3312) ),
inference(variable_rename,[status(thm)],[f_1174_1]) ).
fof(f_1174_3,plain,
! [U_3313,U_3311,U_3312] :
( m1_subset_1(k5_relset_1(U_3313,U_3312,U_3311),k1_zfmisc_1(U_3312))
| ~ m1_relset_1(U_3311,U_3313,U_3312) ),
inference(definitional_conversion,[status(esa)],[f_1174_2]) ).
cnf(f_1174_4,plain,
( m1_subset_1(k5_relset_1(U_3313,U_3312,U_3311),k1_zfmisc_1(U_3312))
| ~ m1_relset_1(U_3311,U_3313,U_3312) ),
inference(clausify,[status(thm)],[f_1174_3]) ).
fof(f_1175_1,plain,
! [A,B,C] :
( k5_relset_1(A,B,C) = k2_relat_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1]) ).
fof(f_1175_2,plain,
! [U_3316,U_3315,U_3314] :
( k5_relset_1(U_3316,U_3315,U_3314) = k2_relat_1(U_3314)
| ~ m1_relset_1(U_3314,U_3316,U_3315) ),
inference(variable_rename,[status(thm)],[f_1175_1]) ).
fof(f_1175_3,plain,
! [U_3314,U_3315,U_3316] :
( k5_relset_1(U_3316,U_3315,U_3314) = k2_relat_1(U_3314)
| ~ m1_relset_1(U_3314,U_3316,U_3315) ),
inference(definitional_conversion,[status(esa)],[f_1175_2]) ).
cnf(f_1175_4,plain,
( k5_relset_1(U_3316,U_3315,U_3314) = k2_relat_1(U_3314)
| ~ m1_relset_1(U_3314,U_3316,U_3315) ),
inference(clausify,[status(thm)],[f_1175_3]) ).
fof(f_1176_1,plain,
! [A,B,C] :
( m2_relset_1(k6_relset_1(A,B,C),B,A)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k6_relset_1]) ).
fof(f_1176_2,plain,
! [U_3319,U_3318,U_3317] :
( m2_relset_1(k6_relset_1(U_3319,U_3318,U_3317),U_3318,U_3319)
| ~ m1_relset_1(U_3317,U_3319,U_3318) ),
inference(variable_rename,[status(thm)],[f_1176_1]) ).
fof(f_1176_3,plain,
! [U_3318,U_3319,U_3317] :
( m2_relset_1(k6_relset_1(U_3319,U_3318,U_3317),U_3318,U_3319)
| ~ m1_relset_1(U_3317,U_3319,U_3318) ),
inference(definitional_conversion,[status(esa)],[f_1176_2]) ).
cnf(f_1176_4,plain,
( m2_relset_1(k6_relset_1(U_3319,U_3318,U_3317),U_3318,U_3319)
| ~ m1_relset_1(U_3317,U_3319,U_3318) ),
inference(clausify,[status(thm)],[f_1176_3]) ).
fof(f_1177_1,plain,
! [A,B,C] :
( k6_relset_1(A,B,k6_relset_1(A,B,C)) = C
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[involutiveness_k6_relset_1]) ).
fof(f_1177_2,plain,
! [U_3322,U_3321,U_3320] :
( k6_relset_1(U_3322,U_3321,k6_relset_1(U_3322,U_3321,U_3320)) = U_3320
| ~ m1_relset_1(U_3320,U_3322,U_3321) ),
inference(variable_rename,[status(thm)],[f_1177_1]) ).
fof(f_1177_3,plain,
! [U_3320,U_3321,U_3322] :
( k6_relset_1(U_3322,U_3321,k6_relset_1(U_3322,U_3321,U_3320)) = U_3320
| ~ m1_relset_1(U_3320,U_3322,U_3321) ),
inference(definitional_conversion,[status(esa)],[f_1177_2]) ).
cnf(f_1177_4,plain,
( k6_relset_1(U_3322,U_3321,k6_relset_1(U_3322,U_3321,U_3320)) = U_3320
| ~ m1_relset_1(U_3320,U_3322,U_3321) ),
inference(clausify,[status(thm)],[f_1177_3]) ).
fof(f_1178_1,plain,
! [A,B,C] :
( k6_relset_1(A,B,C) = k4_relat_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1]) ).
fof(f_1178_2,plain,
! [U_3325,U_3324,U_3323] :
( k6_relset_1(U_3325,U_3324,U_3323) = k4_relat_1(U_3323)
| ~ m1_relset_1(U_3323,U_3325,U_3324) ),
inference(variable_rename,[status(thm)],[f_1178_1]) ).
fof(f_1178_3,plain,
! [U_3323,U_3324,U_3325] :
( k6_relset_1(U_3325,U_3324,U_3323) = k4_relat_1(U_3323)
| ~ m1_relset_1(U_3323,U_3325,U_3324) ),
inference(definitional_conversion,[status(esa)],[f_1178_2]) ).
cnf(f_1178_4,plain,
( k6_relset_1(U_3325,U_3324,U_3323) = k4_relat_1(U_3323)
| ~ m1_relset_1(U_3323,U_3325,U_3324) ),
inference(clausify,[status(thm)],[f_1178_3]) ).
fof(f_1179_1,plain,
! [A,B,C,D,E,F] :
( m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D)
| ~ m1_relset_1(F,C,D)
| ~ m1_relset_1(E,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k7_relset_1]) ).
fof(f_1179_2,plain,
! [U_3331,U_3330,U_3329,U_3328,U_3327,U_3326] :
( m2_relset_1(k7_relset_1(U_3331,U_3330,U_3329,U_3328,U_3327,U_3326),U_3331,U_3328)
| ~ m1_relset_1(U_3326,U_3329,U_3328)
| ~ m1_relset_1(U_3327,U_3331,U_3330) ),
inference(variable_rename,[status(thm)],[f_1179_1]) ).
fof(f_1179_3,plain,
! [U_3326,U_3327,U_3328,U_3329,U_3330,U_3331] :
( m2_relset_1(k7_relset_1(U_3331,U_3330,U_3329,U_3328,U_3327,U_3326),U_3331,U_3328)
| ~ m1_relset_1(U_3326,U_3329,U_3328)
| ~ m1_relset_1(U_3327,U_3331,U_3330) ),
inference(definitional_conversion,[status(esa)],[f_1179_2]) ).
cnf(f_1179_4,plain,
( m2_relset_1(k7_relset_1(U_3331,U_3330,U_3329,U_3328,U_3327,U_3326),U_3331,U_3328)
| ~ m1_relset_1(U_3326,U_3329,U_3328)
| ~ m1_relset_1(U_3327,U_3331,U_3330) ),
inference(clausify,[status(thm)],[f_1179_3]) ).
fof(f_1180_1,plain,
! [A,B,C,D,E,F] :
( k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F)
| ~ m1_relset_1(F,C,D)
| ~ m1_relset_1(E,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k7_relset_1]) ).
fof(f_1180_2,plain,
! [U_3337,U_3336,U_3335,U_3334,U_3333,U_3332] :
( k7_relset_1(U_3337,U_3336,U_3335,U_3334,U_3333,U_3332) = k5_relat_1(U_3333,U_3332)
| ~ m1_relset_1(U_3332,U_3335,U_3334)
| ~ m1_relset_1(U_3333,U_3337,U_3336) ),
inference(variable_rename,[status(thm)],[f_1180_1]) ).
fof(f_1180_3,plain,
! [U_3335,U_3336,U_3337,U_3334,U_3332,U_3333] :
( k7_relset_1(U_3337,U_3336,U_3335,U_3334,U_3333,U_3332) = k5_relat_1(U_3333,U_3332)
| ~ m1_relset_1(U_3332,U_3335,U_3334)
| ~ m1_relset_1(U_3333,U_3337,U_3336) ),
inference(definitional_conversion,[status(esa)],[f_1180_2]) ).
cnf(f_1180_4,plain,
( k7_relset_1(U_3337,U_3336,U_3335,U_3334,U_3333,U_3332) = k5_relat_1(U_3333,U_3332)
| ~ m1_relset_1(U_3332,U_3335,U_3334)
| ~ m1_relset_1(U_3333,U_3337,U_3336) ),
inference(clausify,[status(thm)],[f_1180_3]) ).
fof(f_1181_1,plain,
! [A,B,C,D] :
( m2_relset_1(k8_relset_1(A,B,C,D),A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k8_relset_1]) ).
fof(f_1181_2,plain,
! [U_3341,U_3340,U_3339,U_3338] :
( m2_relset_1(k8_relset_1(U_3341,U_3340,U_3339,U_3338),U_3341,U_3340)
| ~ m1_relset_1(U_3339,U_3341,U_3340) ),
inference(variable_rename,[status(thm)],[f_1181_1]) ).
fof(f_1181_3,plain,
! [U_3341,U_3340,U_3339] :
( ! [U_3338] : m2_relset_1(k8_relset_1(U_3341,U_3340,U_3339,U_3338),U_3341,U_3340)
| ~ m1_relset_1(U_3339,U_3341,U_3340) ),
inference(miniscope,[status(thm)],[f_1181_2]) ).
fof(f_1181_4,plain,
! [U_3341,U_3339,U_3340,U_3338] :
( m2_relset_1(k8_relset_1(U_3341,U_3340,U_3339,U_3338),U_3341,U_3340)
| ~ m1_relset_1(U_3339,U_3341,U_3340) ),
inference(definitional_conversion,[status(esa)],[f_1181_3]) ).
cnf(f_1181_5,plain,
( m2_relset_1(k8_relset_1(U_3341,U_3340,U_3339,U_3338),U_3341,U_3340)
| ~ m1_relset_1(U_3339,U_3341,U_3340) ),
inference(clausify,[status(thm)],[f_1181_4]) ).
fof(f_1182_1,plain,
! [A,B,C,D] :
( k8_relset_1(A,B,C,D) = k7_relat_1(C,D)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k8_relset_1]) ).
fof(f_1182_2,plain,
! [U_3345,U_3344,U_3343,U_3342] :
( k8_relset_1(U_3345,U_3344,U_3343,U_3342) = k7_relat_1(U_3343,U_3342)
| ~ m1_relset_1(U_3343,U_3345,U_3344) ),
inference(variable_rename,[status(thm)],[f_1182_1]) ).
fof(f_1182_3,plain,
! [U_3345,U_3344,U_3343] :
( ! [U_3342] : k8_relset_1(U_3345,U_3344,U_3343,U_3342) = k7_relat_1(U_3343,U_3342)
| ~ m1_relset_1(U_3343,U_3345,U_3344) ),
inference(miniscope,[status(thm)],[f_1182_2]) ).
fof(f_1182_4,plain,
! [U_3343,U_3342,U_3344,U_3345] :
( k8_relset_1(U_3345,U_3344,U_3343,U_3342) = k7_relat_1(U_3343,U_3342)
| ~ m1_relset_1(U_3343,U_3345,U_3344) ),
inference(definitional_conversion,[status(esa)],[f_1182_3]) ).
cnf(f_1182_5,plain,
( k8_relset_1(U_3345,U_3344,U_3343,U_3342) = k7_relat_1(U_3343,U_3342)
| ~ m1_relset_1(U_3343,U_3345,U_3344) ),
inference(clausify,[status(thm)],[f_1182_4]) ).
fof(f_1183_1,plain,
! [A,B,C,D] :
( m2_relset_1(k9_relset_1(A,B,C,D),A,B)
| ~ m1_relset_1(D,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k9_relset_1]) ).
fof(f_1183_2,plain,
! [U_3349,U_3348,U_3347,U_3346] :
( m2_relset_1(k9_relset_1(U_3349,U_3348,U_3347,U_3346),U_3349,U_3348)
| ~ m1_relset_1(U_3346,U_3349,U_3348) ),
inference(variable_rename,[status(thm)],[f_1183_1]) ).
fof(f_1183_3,plain,
! [U_3348,U_3347,U_3346,U_3349] :
( m2_relset_1(k9_relset_1(U_3349,U_3348,U_3347,U_3346),U_3349,U_3348)
| ~ m1_relset_1(U_3346,U_3349,U_3348) ),
inference(definitional_conversion,[status(esa)],[f_1183_2]) ).
cnf(f_1183_4,plain,
( m2_relset_1(k9_relset_1(U_3349,U_3348,U_3347,U_3346),U_3349,U_3348)
| ~ m1_relset_1(U_3346,U_3349,U_3348) ),
inference(clausify,[status(thm)],[f_1183_3]) ).
fof(f_1184_1,plain,
! [A,B,C,D] :
( k9_relset_1(A,B,C,D) = k8_relat_1(C,D)
| ~ m1_relset_1(D,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k9_relset_1]) ).
fof(f_1184_2,plain,
! [U_3353,U_3352,U_3351,U_3350] :
( k9_relset_1(U_3353,U_3352,U_3351,U_3350) = k8_relat_1(U_3351,U_3350)
| ~ m1_relset_1(U_3350,U_3353,U_3352) ),
inference(variable_rename,[status(thm)],[f_1184_1]) ).
fof(f_1184_3,plain,
! [U_3351,U_3350,U_3352,U_3353] :
( k9_relset_1(U_3353,U_3352,U_3351,U_3350) = k8_relat_1(U_3351,U_3350)
| ~ m1_relset_1(U_3350,U_3353,U_3352) ),
inference(definitional_conversion,[status(esa)],[f_1184_2]) ).
cnf(f_1184_4,plain,
( k9_relset_1(U_3353,U_3352,U_3351,U_3350) = k8_relat_1(U_3351,U_3350)
| ~ m1_relset_1(U_3350,U_3353,U_3352) ),
inference(clausify,[status(thm)],[f_1184_3]) ).
fof(f_1185_1,plain,
! [A,B,C,D] :
( m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B))
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k10_relset_1]) ).
fof(f_1185_2,plain,
! [U_3357,U_3356,U_3355,U_3354] :
( m1_subset_1(k10_relset_1(U_3357,U_3356,U_3355,U_3354),k1_zfmisc_1(U_3356))
| ~ m1_relset_1(U_3355,U_3357,U_3356) ),
inference(variable_rename,[status(thm)],[f_1185_1]) ).
fof(f_1185_3,plain,
! [U_3357,U_3356,U_3355] :
( ! [U_3354] : m1_subset_1(k10_relset_1(U_3357,U_3356,U_3355,U_3354),k1_zfmisc_1(U_3356))
| ~ m1_relset_1(U_3355,U_3357,U_3356) ),
inference(miniscope,[status(thm)],[f_1185_2]) ).
fof(f_1185_4,plain,
! [U_3356,U_3354,U_3355,U_3357] :
( m1_subset_1(k10_relset_1(U_3357,U_3356,U_3355,U_3354),k1_zfmisc_1(U_3356))
| ~ m1_relset_1(U_3355,U_3357,U_3356) ),
inference(definitional_conversion,[status(esa)],[f_1185_3]) ).
cnf(f_1185_5,plain,
( m1_subset_1(k10_relset_1(U_3357,U_3356,U_3355,U_3354),k1_zfmisc_1(U_3356))
| ~ m1_relset_1(U_3355,U_3357,U_3356) ),
inference(clausify,[status(thm)],[f_1185_4]) ).
fof(f_1186_1,plain,
! [A,B,C,D] :
( k10_relset_1(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1]) ).
fof(f_1186_2,plain,
! [U_3361,U_3360,U_3359,U_3358] :
( k10_relset_1(U_3361,U_3360,U_3359,U_3358) = k9_relat_1(U_3359,U_3358)
| ~ m1_relset_1(U_3359,U_3361,U_3360) ),
inference(variable_rename,[status(thm)],[f_1186_1]) ).
fof(f_1186_3,plain,
! [U_3361,U_3360,U_3359] :
( ! [U_3358] : k10_relset_1(U_3361,U_3360,U_3359,U_3358) = k9_relat_1(U_3359,U_3358)
| ~ m1_relset_1(U_3359,U_3361,U_3360) ),
inference(miniscope,[status(thm)],[f_1186_2]) ).
fof(f_1186_4,plain,
! [U_3359,U_3358,U_3360,U_3361] :
( k10_relset_1(U_3361,U_3360,U_3359,U_3358) = k9_relat_1(U_3359,U_3358)
| ~ m1_relset_1(U_3359,U_3361,U_3360) ),
inference(definitional_conversion,[status(esa)],[f_1186_3]) ).
cnf(f_1186_5,plain,
( k10_relset_1(U_3361,U_3360,U_3359,U_3358) = k9_relat_1(U_3359,U_3358)
| ~ m1_relset_1(U_3359,U_3361,U_3360) ),
inference(clausify,[status(thm)],[f_1186_4]) ).
fof(f_1187_1,plain,
! [A,B,C,D] :
( m1_subset_1(k11_relset_1(A,B,C,D),k1_zfmisc_1(A))
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k11_relset_1]) ).
fof(f_1187_2,plain,
! [U_3365,U_3364,U_3363,U_3362] :
( m1_subset_1(k11_relset_1(U_3365,U_3364,U_3363,U_3362),k1_zfmisc_1(U_3365))
| ~ m1_relset_1(U_3363,U_3365,U_3364) ),
inference(variable_rename,[status(thm)],[f_1187_1]) ).
fof(f_1187_3,plain,
! [U_3365,U_3364,U_3363] :
( ! [U_3362] : m1_subset_1(k11_relset_1(U_3365,U_3364,U_3363,U_3362),k1_zfmisc_1(U_3365))
| ~ m1_relset_1(U_3363,U_3365,U_3364) ),
inference(miniscope,[status(thm)],[f_1187_2]) ).
fof(f_1187_4,plain,
! [U_3364,U_3362,U_3363,U_3365] :
( m1_subset_1(k11_relset_1(U_3365,U_3364,U_3363,U_3362),k1_zfmisc_1(U_3365))
| ~ m1_relset_1(U_3363,U_3365,U_3364) ),
inference(definitional_conversion,[status(esa)],[f_1187_3]) ).
cnf(f_1187_5,plain,
( m1_subset_1(k11_relset_1(U_3365,U_3364,U_3363,U_3362),k1_zfmisc_1(U_3365))
| ~ m1_relset_1(U_3363,U_3365,U_3364) ),
inference(clausify,[status(thm)],[f_1187_4]) ).
fof(f_1188_1,plain,
! [A,B,C,D] :
( k11_relset_1(A,B,C,D) = k10_relat_1(C,D)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k11_relset_1]) ).
fof(f_1188_2,plain,
! [U_3369,U_3368,U_3367,U_3366] :
( k11_relset_1(U_3369,U_3368,U_3367,U_3366) = k10_relat_1(U_3367,U_3366)
| ~ m1_relset_1(U_3367,U_3369,U_3368) ),
inference(variable_rename,[status(thm)],[f_1188_1]) ).
fof(f_1188_3,plain,
! [U_3369,U_3368,U_3367] :
( ! [U_3366] : k11_relset_1(U_3369,U_3368,U_3367,U_3366) = k10_relat_1(U_3367,U_3366)
| ~ m1_relset_1(U_3367,U_3369,U_3368) ),
inference(miniscope,[status(thm)],[f_1188_2]) ).
fof(f_1188_4,plain,
! [U_3366,U_3368,U_3369,U_3367] :
( k11_relset_1(U_3369,U_3368,U_3367,U_3366) = k10_relat_1(U_3367,U_3366)
| ~ m1_relset_1(U_3367,U_3369,U_3368) ),
inference(definitional_conversion,[status(esa)],[f_1188_3]) ).
cnf(f_1188_5,plain,
( k11_relset_1(U_3369,U_3368,U_3367,U_3366) = k10_relat_1(U_3367,U_3366)
| ~ m1_relset_1(U_3367,U_3369,U_3368) ),
inference(clausify,[status(thm)],[f_1188_4]) ).
fof(f_1189_1,plain,
! [A,B] :
? [C] :
( v1_funct_2(C,A,B)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[rc1_funct_2]) ).
fof(f_1189_2,plain,
! [U_3372,U_3371] :
? [U_3370] :
( v1_funct_2(U_3370,U_3372,U_3371)
& v1_funct_1(U_3370)
& v1_relat_1(U_3370)
& m1_relset_1(U_3370,U_3372,U_3371) ),
inference(variable_rename,[status(thm)],[f_1189_1]) ).
fof(f_1189_3,plain,
! [U_3372,U_3371] :
( v1_funct_2(sK308(U_3372,U_3371),U_3372,U_3371)
& v1_funct_1(sK308(U_3372,U_3371))
& v1_relat_1(sK308(U_3372,U_3371))
& m1_relset_1(sK308(U_3372,U_3371),U_3372,U_3371) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK308]),skolemize(U_3370,sK308(U_3372,U_3371))],[f_1189_2]) ).
fof(f_1189_4,plain,
( ! [U_3371,U_3372] : v1_funct_2(sK308(U_3372,U_3371),U_3372,U_3371)
& ! [U_3371,U_3372] : v1_funct_1(sK308(U_3372,U_3371))
& ! [U_3371,U_3372] : v1_relat_1(sK308(U_3372,U_3371))
& ! [U_3371,U_3372] : m1_relset_1(sK308(U_3372,U_3371),U_3372,U_3371) ),
inference(definitional_conversion,[status(esa)],[f_1189_3]) ).
cnf(f_1189_5,plain,
m1_relset_1(sK308(U_3372,U_3371),U_3372,U_3371),
inference(clausify,[status(thm)],[f_1189_4]) ).
cnf(f_1189_6,plain,
v1_relat_1(sK308(U_3372,U_3371)),
inference(clausify,[status(thm)],[f_1189_4]) ).
cnf(f_1189_7,plain,
v1_funct_1(sK308(U_3372,U_3371)),
inference(clausify,[status(thm)],[f_1189_4]) ).
cnf(f_1189_8,plain,
v1_funct_2(sK308(U_3372,U_3371),U_3372,U_3371),
inference(clausify,[status(thm)],[f_1189_4]) ).
fof(f_1190_1,plain,
! [A,B,C] :
( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ~ v1_partfun1(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[cc1_funct_2]) ).
fof(f_1190_2,plain,
! [U_3375,U_3374,U_3373] :
( ( v1_funct_2(U_3373,U_3375,U_3374)
& v1_funct_1(U_3373) )
| ~ v1_partfun1(U_3373,U_3375,U_3374)
| ~ v1_funct_1(U_3373)
| ~ m1_relset_1(U_3373,U_3375,U_3374) ),
inference(variable_rename,[status(thm)],[f_1190_1]) ).
fof(f_1190_3,plain,
( ! [U_3375,U_3374,U_3373] :
( v1_funct_2(U_3373,U_3375,U_3374)
| ~ sP447(U_3375,U_3374,U_3373) )
& ! [U_3375,U_3374,U_3373] :
( v1_funct_1(U_3373)
| ~ sP447(U_3375,U_3374,U_3373) )
& ! [U_3375,U_3374,U_3373] :
( sP447(U_3375,U_3374,U_3373)
| ~ v1_partfun1(U_3373,U_3375,U_3374)
| ~ v1_funct_1(U_3373)
| ~ m1_relset_1(U_3373,U_3375,U_3374) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP447])],[f_1190_2]) ).
cnf(f_1190_4,plain,
( sP447(U_3375,U_3374,U_3373)
| ~ v1_partfun1(U_3373,U_3375,U_3374)
| ~ v1_funct_1(U_3373)
| ~ m1_relset_1(U_3373,U_3375,U_3374) ),
inference(clausify,[status(thm)],[f_1190_3]) ).
cnf(f_1190_5,plain,
( v1_funct_1(U_3373)
| ~ sP447(U_3375,U_3374,U_3373) ),
inference(clausify,[status(thm)],[f_1190_3]) ).
cnf(f_1190_6,plain,
( v1_funct_2(U_3373,U_3375,U_3374)
| ~ sP447(U_3375,U_3374,U_3373) ),
inference(clausify,[status(thm)],[f_1190_3]) ).
fof(f_1191_1,plain,
! [A,B] :
( ~ v1_xboole_0(k1_funct_2(A,B))
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[fc1_funct_2]) ).
fof(f_1191_2,plain,
! [U_3377,U_3376] :
( ~ v1_xboole_0(k1_funct_2(U_3377,U_3376))
| v1_xboole_0(U_3376) ),
inference(variable_rename,[status(thm)],[f_1191_1]) ).
fof(f_1191_3,plain,
! [U_3377,U_3376] :
( ~ v1_xboole_0(k1_funct_2(U_3377,U_3376))
| v1_xboole_0(U_3376) ),
inference(definitional_conversion,[status(esa)],[f_1191_2]) ).
cnf(f_1191_4,plain,
( ~ v1_xboole_0(k1_funct_2(U_3377,U_3376))
| v1_xboole_0(U_3376) ),
inference(clausify,[status(thm)],[f_1191_3]) ).
fof(f_1192_1,plain,
! [A] : ~ v1_xboole_0(k1_funct_2(A,A)),
inference(fof_nnf,[status(thm)],[fc2_funct_2]) ).
fof(f_1192_2,plain,
! [U_3378] : ~ v1_xboole_0(k1_funct_2(U_3378,U_3378)),
inference(variable_rename,[status(thm)],[f_1192_1]) ).
fof(f_1192_3,plain,
! [U_3378] : ~ v1_xboole_0(k1_funct_2(U_3378,U_3378)),
inference(definitional_conversion,[status(esa)],[f_1192_2]) ).
cnf(f_1192_4,plain,
~ v1_xboole_0(k1_funct_2(U_3378,U_3378)),
inference(clausify,[status(thm)],[f_1192_3]) ).
fof(f_1193_1,plain,
! [A,B,C] :
( ( v2_funct_2(C,A,B)
& v1_funct_2(C,A,B)
& v2_funct_1(C)
& v1_funct_1(C) )
| ~ v3_funct_2(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[cc2_funct_2]) ).
fof(f_1193_2,plain,
! [U_3381,U_3380,U_3379] :
( ( v2_funct_2(U_3379,U_3381,U_3380)
& v1_funct_2(U_3379,U_3381,U_3380)
& v2_funct_1(U_3379)
& v1_funct_1(U_3379) )
| ~ v3_funct_2(U_3379,U_3381,U_3380)
| ~ v1_funct_2(U_3379,U_3381,U_3380)
| ~ v1_funct_1(U_3379)
| ~ m1_relset_1(U_3379,U_3381,U_3380) ),
inference(variable_rename,[status(thm)],[f_1193_1]) ).
fof(f_1193_3,plain,
( ! [U_3381,U_3380,U_3379] :
( v2_funct_2(U_3379,U_3381,U_3380)
| ~ sP448(U_3381,U_3380,U_3379) )
& ! [U_3381,U_3380,U_3379] :
( v1_funct_2(U_3379,U_3381,U_3380)
| ~ sP448(U_3381,U_3380,U_3379) )
& ! [U_3381,U_3380,U_3379] :
( v2_funct_1(U_3379)
| ~ sP448(U_3381,U_3380,U_3379) )
& ! [U_3381,U_3380,U_3379] :
( v1_funct_1(U_3379)
| ~ sP448(U_3381,U_3380,U_3379) )
& ! [U_3381,U_3380,U_3379] :
( sP448(U_3381,U_3380,U_3379)
| ~ v3_funct_2(U_3379,U_3381,U_3380)
| ~ v1_funct_2(U_3379,U_3381,U_3380)
| ~ v1_funct_1(U_3379)
| ~ m1_relset_1(U_3379,U_3381,U_3380) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP448])],[f_1193_2]) ).
cnf(f_1193_4,plain,
( sP448(U_3381,U_3380,U_3379)
| ~ v3_funct_2(U_3379,U_3381,U_3380)
| ~ v1_funct_2(U_3379,U_3381,U_3380)
| ~ v1_funct_1(U_3379)
| ~ m1_relset_1(U_3379,U_3381,U_3380) ),
inference(clausify,[status(thm)],[f_1193_3]) ).
cnf(f_1193_5,plain,
( v1_funct_1(U_3379)
| ~ sP448(U_3381,U_3380,U_3379) ),
inference(clausify,[status(thm)],[f_1193_3]) ).
cnf(f_1193_6,plain,
( v2_funct_1(U_3379)
| ~ sP448(U_3381,U_3380,U_3379) ),
inference(clausify,[status(thm)],[f_1193_3]) ).
cnf(f_1193_7,plain,
( v1_funct_2(U_3379,U_3381,U_3380)
| ~ sP448(U_3381,U_3380,U_3379) ),
inference(clausify,[status(thm)],[f_1193_3]) ).
cnf(f_1193_8,plain,
( v2_funct_2(U_3379,U_3381,U_3380)
| ~ sP448(U_3381,U_3380,U_3379) ),
inference(clausify,[status(thm)],[f_1193_3]) ).
fof(f_1194_1,plain,
! [A,B,C] :
( ( v3_funct_2(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ~ v2_funct_2(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v2_funct_1(C)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[cc3_funct_2]) ).
fof(f_1194_2,plain,
! [U_3384,U_3383,U_3382] :
( ( v3_funct_2(U_3382,U_3384,U_3383)
& v1_funct_2(U_3382,U_3384,U_3383)
& v1_funct_1(U_3382) )
| ~ v2_funct_2(U_3382,U_3384,U_3383)
| ~ v1_funct_2(U_3382,U_3384,U_3383)
| ~ v2_funct_1(U_3382)
| ~ v1_funct_1(U_3382)
| ~ m1_relset_1(U_3382,U_3384,U_3383) ),
inference(variable_rename,[status(thm)],[f_1194_1]) ).
fof(f_1194_3,plain,
( ! [U_3384,U_3383,U_3382] :
( v3_funct_2(U_3382,U_3384,U_3383)
| ~ sP449(U_3384,U_3383,U_3382) )
& ! [U_3384,U_3383,U_3382] :
( v1_funct_2(U_3382,U_3384,U_3383)
| ~ sP449(U_3384,U_3383,U_3382) )
& ! [U_3384,U_3383,U_3382] :
( v1_funct_1(U_3382)
| ~ sP449(U_3384,U_3383,U_3382) )
& ! [U_3384,U_3383,U_3382] :
( sP449(U_3384,U_3383,U_3382)
| ~ v2_funct_2(U_3382,U_3384,U_3383)
| ~ v1_funct_2(U_3382,U_3384,U_3383)
| ~ v2_funct_1(U_3382)
| ~ v1_funct_1(U_3382)
| ~ m1_relset_1(U_3382,U_3384,U_3383) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP449])],[f_1194_2]) ).
cnf(f_1194_4,plain,
( sP449(U_3384,U_3383,U_3382)
| ~ v2_funct_2(U_3382,U_3384,U_3383)
| ~ v1_funct_2(U_3382,U_3384,U_3383)
| ~ v2_funct_1(U_3382)
| ~ v1_funct_1(U_3382)
| ~ m1_relset_1(U_3382,U_3384,U_3383) ),
inference(clausify,[status(thm)],[f_1194_3]) ).
cnf(f_1194_5,plain,
( v1_funct_1(U_3382)
| ~ sP449(U_3384,U_3383,U_3382) ),
inference(clausify,[status(thm)],[f_1194_3]) ).
cnf(f_1194_6,plain,
( v1_funct_2(U_3382,U_3384,U_3383)
| ~ sP449(U_3384,U_3383,U_3382) ),
inference(clausify,[status(thm)],[f_1194_3]) ).
cnf(f_1194_7,plain,
( v3_funct_2(U_3382,U_3384,U_3383)
| ~ sP449(U_3384,U_3383,U_3382) ),
inference(clausify,[status(thm)],[f_1194_3]) ).
fof(f_1195_1,plain,
! [A] :
? [B] :
( v3_funct_2(B,A,A)
& v2_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,A,A) ),
inference(fof_nnf,[status(thm)],[rc2_funct_2]) ).
fof(f_1195_2,plain,
! [U_3386] :
? [U_3385] :
( v3_funct_2(U_3385,U_3386,U_3386)
& v2_funct_2(U_3385,U_3386,U_3386)
& v1_funct_2(U_3385,U_3386,U_3386)
& v2_funct_1(U_3385)
& v1_funct_1(U_3385)
& v1_relat_1(U_3385)
& m1_relset_1(U_3385,U_3386,U_3386) ),
inference(variable_rename,[status(thm)],[f_1195_1]) ).
fof(f_1195_3,plain,
! [U_3386] :
( v3_funct_2(sK309(U_3386),U_3386,U_3386)
& v2_funct_2(sK309(U_3386),U_3386,U_3386)
& v1_funct_2(sK309(U_3386),U_3386,U_3386)
& v2_funct_1(sK309(U_3386))
& v1_funct_1(sK309(U_3386))
& v1_relat_1(sK309(U_3386))
& m1_relset_1(sK309(U_3386),U_3386,U_3386) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK309]),skolemize(U_3385,sK309(U_3386))],[f_1195_2]) ).
fof(f_1195_4,plain,
( ! [U_3386] : v3_funct_2(sK309(U_3386),U_3386,U_3386)
& ! [U_3386] : v2_funct_2(sK309(U_3386),U_3386,U_3386)
& ! [U_3386] : v1_funct_2(sK309(U_3386),U_3386,U_3386)
& ! [U_3386] : v2_funct_1(sK309(U_3386))
& ! [U_3386] : v1_funct_1(sK309(U_3386))
& ! [U_3386] : v1_relat_1(sK309(U_3386))
& ! [U_3386] : m1_relset_1(sK309(U_3386),U_3386,U_3386) ),
inference(definitional_conversion,[status(esa)],[f_1195_3]) ).
cnf(f_1195_5,plain,
m1_relset_1(sK309(U_3386),U_3386,U_3386),
inference(clausify,[status(thm)],[f_1195_4]) ).
cnf(f_1195_6,plain,
v1_relat_1(sK309(U_3386)),
inference(clausify,[status(thm)],[f_1195_4]) ).
cnf(f_1195_7,plain,
v1_funct_1(sK309(U_3386)),
inference(clausify,[status(thm)],[f_1195_4]) ).
cnf(f_1195_8,plain,
v2_funct_1(sK309(U_3386)),
inference(clausify,[status(thm)],[f_1195_4]) ).
cnf(f_1195_9,plain,
v1_funct_2(sK309(U_3386),U_3386,U_3386),
inference(clausify,[status(thm)],[f_1195_4]) ).
cnf(f_1195_10,plain,
v2_funct_2(sK309(U_3386),U_3386,U_3386),
inference(clausify,[status(thm)],[f_1195_4]) ).
cnf(f_1195_11,plain,
v3_funct_2(sK309(U_3386),U_3386,U_3386),
inference(clausify,[status(thm)],[f_1195_4]) ).
fof(f_1196_1,plain,
! [A,B] :
( ( v3_funct_2(B,A,A)
& v2_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v2_funct_1(B)
& v1_funct_1(B) )
| ~ v1_funct_2(B,A,A)
| ~ v1_relat_2(B)
| ~ v1_partfun1(B,A,A)
| ~ v1_funct_1(B)
| ~ m1_relset_1(B,A,A) ),
inference(fof_nnf,[status(thm)],[cc4_funct_2]) ).
fof(f_1196_2,plain,
! [U_3388,U_3387] :
( ( v3_funct_2(U_3387,U_3388,U_3388)
& v2_funct_2(U_3387,U_3388,U_3388)
& v1_funct_2(U_3387,U_3388,U_3388)
& v2_funct_1(U_3387)
& v1_funct_1(U_3387) )
| ~ v1_funct_2(U_3387,U_3388,U_3388)
| ~ v1_relat_2(U_3387)
| ~ v1_partfun1(U_3387,U_3388,U_3388)
| ~ v1_funct_1(U_3387)
| ~ m1_relset_1(U_3387,U_3388,U_3388) ),
inference(variable_rename,[status(thm)],[f_1196_1]) ).
fof(f_1196_3,plain,
( ! [U_3387,U_3388] :
( v3_funct_2(U_3387,U_3388,U_3388)
| ~ sP450(U_3387,U_3388) )
& ! [U_3387,U_3388] :
( v2_funct_2(U_3387,U_3388,U_3388)
| ~ sP450(U_3387,U_3388) )
& ! [U_3387,U_3388] :
( v1_funct_2(U_3387,U_3388,U_3388)
| ~ sP450(U_3387,U_3388) )
& ! [U_3387,U_3388] :
( v2_funct_1(U_3387)
| ~ sP450(U_3387,U_3388) )
& ! [U_3387,U_3388] :
( v1_funct_1(U_3387)
| ~ sP450(U_3387,U_3388) )
& ! [U_3387,U_3388] :
( sP450(U_3387,U_3388)
| ~ v1_funct_2(U_3387,U_3388,U_3388)
| ~ v1_relat_2(U_3387)
| ~ v1_partfun1(U_3387,U_3388,U_3388)
| ~ v1_funct_1(U_3387)
| ~ m1_relset_1(U_3387,U_3388,U_3388) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP450])],[f_1196_2]) ).
cnf(f_1196_4,plain,
( sP450(U_3387,U_3388)
| ~ v1_funct_2(U_3387,U_3388,U_3388)
| ~ v1_relat_2(U_3387)
| ~ v1_partfun1(U_3387,U_3388,U_3388)
| ~ v1_funct_1(U_3387)
| ~ m1_relset_1(U_3387,U_3388,U_3388) ),
inference(clausify,[status(thm)],[f_1196_3]) ).
cnf(f_1196_5,plain,
( v1_funct_1(U_3387)
| ~ sP450(U_3387,U_3388) ),
inference(clausify,[status(thm)],[f_1196_3]) ).
cnf(f_1196_6,plain,
( v2_funct_1(U_3387)
| ~ sP450(U_3387,U_3388) ),
inference(clausify,[status(thm)],[f_1196_3]) ).
cnf(f_1196_7,plain,
( v1_funct_2(U_3387,U_3388,U_3388)
| ~ sP450(U_3387,U_3388) ),
inference(clausify,[status(thm)],[f_1196_3]) ).
cnf(f_1196_8,plain,
( v2_funct_2(U_3387,U_3388,U_3388)
| ~ sP450(U_3387,U_3388) ),
inference(clausify,[status(thm)],[f_1196_3]) ).
cnf(f_1196_9,plain,
( v3_funct_2(U_3387,U_3388,U_3388)
| ~ sP450(U_3387,U_3388) ),
inference(clausify,[status(thm)],[f_1196_3]) ).
fof(f_1197_1,plain,
! [A,B] :
( ! [C] :
( ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& v1_funct_1(C) )
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) )
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[cc5_funct_2]) ).
fof(f_1197_2,plain,
! [U_3391,U_3390] :
( ! [U_3389] :
( ( v1_funct_2(U_3389,U_3391,U_3390)
& v1_partfun1(U_3389,U_3391,U_3390)
& v1_funct_1(U_3389) )
| ~ v1_funct_2(U_3389,U_3391,U_3390)
| ~ v1_funct_1(U_3389)
| ~ m1_relset_1(U_3389,U_3391,U_3390) )
| v1_xboole_0(U_3390) ),
inference(variable_rename,[status(thm)],[f_1197_1]) ).
fof(f_1197_3,plain,
( ! [U_3389,U_3390,U_3391] :
( v1_funct_2(U_3389,U_3391,U_3390)
| ~ sP451(U_3389,U_3390,U_3391) )
& ! [U_3389,U_3390,U_3391] :
( v1_partfun1(U_3389,U_3391,U_3390)
| ~ sP451(U_3389,U_3390,U_3391) )
& ! [U_3389,U_3390,U_3391] :
( v1_funct_1(U_3389)
| ~ sP451(U_3389,U_3390,U_3391) )
& ! [U_3389,U_3390,U_3391] :
( sP451(U_3389,U_3390,U_3391)
| ~ v1_funct_2(U_3389,U_3391,U_3390)
| ~ v1_funct_1(U_3389)
| ~ m1_relset_1(U_3389,U_3391,U_3390)
| v1_xboole_0(U_3390) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP451])],[f_1197_2]) ).
cnf(f_1197_4,plain,
( sP451(U_3389,U_3390,U_3391)
| ~ v1_funct_2(U_3389,U_3391,U_3390)
| ~ v1_funct_1(U_3389)
| ~ m1_relset_1(U_3389,U_3391,U_3390)
| v1_xboole_0(U_3390) ),
inference(clausify,[status(thm)],[f_1197_3]) ).
cnf(f_1197_5,plain,
( v1_funct_1(U_3389)
| ~ sP451(U_3389,U_3390,U_3391) ),
inference(clausify,[status(thm)],[f_1197_3]) ).
cnf(f_1197_6,plain,
( v1_partfun1(U_3389,U_3391,U_3390)
| ~ sP451(U_3389,U_3390,U_3391) ),
inference(clausify,[status(thm)],[f_1197_3]) ).
cnf(f_1197_7,plain,
( v1_funct_2(U_3389,U_3391,U_3390)
| ~ sP451(U_3389,U_3390,U_3391) ),
inference(clausify,[status(thm)],[f_1197_3]) ).
fof(f_1198_1,plain,
! [A,B] :
( ! [C] :
( ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& ~ v1_xboole_0(C)
& v1_funct_1(C) )
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) )
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc6_funct_2]) ).
fof(f_1198_2,plain,
! [U_3394,U_3393] :
( ! [U_3392] :
( ( v1_funct_2(U_3392,U_3394,U_3393)
& v1_partfun1(U_3392,U_3394,U_3393)
& ~ v1_xboole_0(U_3392)
& v1_funct_1(U_3392) )
| ~ v1_funct_2(U_3392,U_3394,U_3393)
| ~ v1_funct_1(U_3392)
| ~ m1_relset_1(U_3392,U_3394,U_3393) )
| v1_xboole_0(U_3393)
| v1_xboole_0(U_3394) ),
inference(variable_rename,[status(thm)],[f_1198_1]) ).
fof(f_1198_3,plain,
( ! [U_3393,U_3394,U_3392] :
( v1_funct_2(U_3392,U_3394,U_3393)
| ~ sP452(U_3393,U_3394,U_3392) )
& ! [U_3393,U_3394,U_3392] :
( v1_partfun1(U_3392,U_3394,U_3393)
| ~ sP452(U_3393,U_3394,U_3392) )
& ! [U_3393,U_3394,U_3392] :
( ~ v1_xboole_0(U_3392)
| ~ sP452(U_3393,U_3394,U_3392) )
& ! [U_3393,U_3394,U_3392] :
( v1_funct_1(U_3392)
| ~ sP452(U_3393,U_3394,U_3392) )
& ! [U_3393,U_3394,U_3392] :
( sP452(U_3393,U_3394,U_3392)
| ~ v1_funct_2(U_3392,U_3394,U_3393)
| ~ v1_funct_1(U_3392)
| ~ m1_relset_1(U_3392,U_3394,U_3393)
| v1_xboole_0(U_3393)
| v1_xboole_0(U_3394) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP452])],[f_1198_2]) ).
cnf(f_1198_4,plain,
( sP452(U_3393,U_3394,U_3392)
| ~ v1_funct_2(U_3392,U_3394,U_3393)
| ~ v1_funct_1(U_3392)
| ~ m1_relset_1(U_3392,U_3394,U_3393)
| v1_xboole_0(U_3393)
| v1_xboole_0(U_3394) ),
inference(clausify,[status(thm)],[f_1198_3]) ).
cnf(f_1198_5,plain,
( v1_funct_1(U_3392)
| ~ sP452(U_3393,U_3394,U_3392) ),
inference(clausify,[status(thm)],[f_1198_3]) ).
cnf(f_1198_6,plain,
( ~ v1_xboole_0(U_3392)
| ~ sP452(U_3393,U_3394,U_3392) ),
inference(clausify,[status(thm)],[f_1198_3]) ).
cnf(f_1198_7,plain,
( v1_partfun1(U_3392,U_3394,U_3393)
| ~ sP452(U_3393,U_3394,U_3392) ),
inference(clausify,[status(thm)],[f_1198_3]) ).
cnf(f_1198_8,plain,
( v1_funct_2(U_3392,U_3394,U_3393)
| ~ sP452(U_3393,U_3394,U_3392) ),
inference(clausify,[status(thm)],[f_1198_3]) ).
fof(f_1199_1,plain,
! [A,B,C] :
( ( ( ( ( v1_funct_2(C,A,B)
| C != k1_xboole_0 )
& ( C = k1_xboole_0
| ~ v1_funct_2(C,A,B) ) )
| A = k1_xboole_0
| B != k1_xboole_0 )
& ( ( ( v1_funct_2(C,A,B)
| A != k4_relset_1(A,B,C) )
& ( A = k4_relset_1(A,B,C)
| ~ v1_funct_2(C,A,B) ) )
| ( A != k1_xboole_0
& B = k1_xboole_0 ) ) )
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[d1_funct_2]) ).
fof(f_1199_2,plain,
! [U_3397,U_3396,U_3395] :
( ( ( ( ( v1_funct_2(U_3395,U_3397,U_3396)
| U_3395 != k1_xboole_0 )
& ( U_3395 = k1_xboole_0
| ~ v1_funct_2(U_3395,U_3397,U_3396) ) )
| U_3397 = k1_xboole_0
| U_3396 != k1_xboole_0 )
& ( ( ( v1_funct_2(U_3395,U_3397,U_3396)
| U_3397 != k4_relset_1(U_3397,U_3396,U_3395) )
& ( U_3397 = k4_relset_1(U_3397,U_3396,U_3395)
| ~ v1_funct_2(U_3395,U_3397,U_3396) ) )
| ( U_3397 != k1_xboole_0
& U_3396 = k1_xboole_0 ) ) )
| ~ m2_relset_1(U_3395,U_3397,U_3396) ),
inference(variable_rename,[status(thm)],[f_1199_1]) ).
fof(f_1199_3,plain,
( ! [U_3397,U_3395,U_3396] :
( v1_funct_2(U_3395,U_3397,U_3396)
| U_3395 != k1_xboole_0
| ~ sP455(U_3397,U_3395,U_3396) )
& ! [U_3397,U_3395,U_3396] :
( U_3395 = k1_xboole_0
| ~ v1_funct_2(U_3395,U_3397,U_3396)
| ~ sP455(U_3397,U_3395,U_3396) )
& ! [U_3397,U_3395,U_3396] :
( v1_funct_2(U_3395,U_3397,U_3396)
| U_3397 != k4_relset_1(U_3397,U_3396,U_3395)
| ~ sP454(U_3397,U_3395,U_3396) )
& ! [U_3397,U_3395,U_3396] :
( U_3397 = k4_relset_1(U_3397,U_3396,U_3395)
| ~ v1_funct_2(U_3395,U_3397,U_3396)
| ~ sP454(U_3397,U_3395,U_3396) )
& ! [U_3397,U_3396] :
( U_3397 != k1_xboole_0
| ~ sP453(U_3397,U_3396) )
& ! [U_3397,U_3396] :
( U_3396 = k1_xboole_0
| ~ sP453(U_3397,U_3396) )
& ! [U_3397,U_3395,U_3396] :
( sP455(U_3397,U_3395,U_3396)
| U_3397 = k1_xboole_0
| U_3396 != k1_xboole_0
| ~ sP456(U_3397,U_3395,U_3396) )
& ! [U_3397,U_3395,U_3396] :
( sP454(U_3397,U_3395,U_3396)
| sP453(U_3397,U_3396)
| ~ sP456(U_3397,U_3395,U_3396) )
& ! [U_3397,U_3395,U_3396] :
( sP456(U_3397,U_3395,U_3396)
| ~ m2_relset_1(U_3395,U_3397,U_3396) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP453,sP454,sP455,sP456])],[f_1199_2]) ).
cnf(f_1199_4,plain,
( sP456(U_3397,U_3395,U_3396)
| ~ m2_relset_1(U_3395,U_3397,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_5,plain,
( sP454(U_3397,U_3395,U_3396)
| sP453(U_3397,U_3396)
| ~ sP456(U_3397,U_3395,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_6,plain,
( sP455(U_3397,U_3395,U_3396)
| U_3397 = k1_xboole_0
| U_3396 != k1_xboole_0
| ~ sP456(U_3397,U_3395,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_7,plain,
( U_3396 = k1_xboole_0
| ~ sP453(U_3397,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_8,plain,
( U_3397 != k1_xboole_0
| ~ sP453(U_3397,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_9,plain,
( U_3397 = k4_relset_1(U_3397,U_3396,U_3395)
| ~ v1_funct_2(U_3395,U_3397,U_3396)
| ~ sP454(U_3397,U_3395,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_10,plain,
( v1_funct_2(U_3395,U_3397,U_3396)
| U_3397 != k4_relset_1(U_3397,U_3396,U_3395)
| ~ sP454(U_3397,U_3395,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_11,plain,
( U_3395 = k1_xboole_0
| ~ v1_funct_2(U_3395,U_3397,U_3396)
| ~ sP455(U_3397,U_3395,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
cnf(f_1199_12,plain,
( v1_funct_2(U_3395,U_3397,U_3396)
| U_3395 != k1_xboole_0
| ~ sP455(U_3397,U_3395,U_3396) ),
inference(clausify,[status(thm)],[f_1199_3]) ).
fof(f_1200_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_funct_2]) ).
fof(f_1200_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1200_1]) ).
cnf(f_1200_3,plain,
$true,
inference(clausify,[status(thm)],[f_1200_2]) ).
fof(f_1201_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_funct_2]) ).
fof(f_1201_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1201_1]) ).
cnf(f_1201_3,plain,
$true,
inference(clausify,[status(thm)],[f_1201_2]) ).
fof(f_1202_1,plain,
! [A] :
( ( m2_relset_1(A,k1_relat_1(A),k2_relat_1(A))
& v1_funct_2(A,k1_relat_1(A),k2_relat_1(A))
& v1_funct_1(A) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t3_funct_2]) ).
fof(f_1202_2,plain,
! [U_3398] :
( ( m2_relset_1(U_3398,k1_relat_1(U_3398),k2_relat_1(U_3398))
& v1_funct_2(U_3398,k1_relat_1(U_3398),k2_relat_1(U_3398))
& v1_funct_1(U_3398) )
| ~ v1_funct_1(U_3398)
| ~ v1_relat_1(U_3398) ),
inference(variable_rename,[status(thm)],[f_1202_1]) ).
fof(f_1202_3,plain,
( ! [U_3398] :
( m2_relset_1(U_3398,k1_relat_1(U_3398),k2_relat_1(U_3398))
| ~ sP457(U_3398) )
& ! [U_3398] :
( v1_funct_2(U_3398,k1_relat_1(U_3398),k2_relat_1(U_3398))
| ~ sP457(U_3398) )
& ! [U_3398] :
( v1_funct_1(U_3398)
| ~ sP457(U_3398) )
& ! [U_3398] :
( sP457(U_3398)
| ~ v1_funct_1(U_3398)
| ~ v1_relat_1(U_3398) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP457])],[f_1202_2]) ).
cnf(f_1202_4,plain,
( sP457(U_3398)
| ~ v1_funct_1(U_3398)
| ~ v1_relat_1(U_3398) ),
inference(clausify,[status(thm)],[f_1202_3]) ).
cnf(f_1202_5,plain,
( v1_funct_1(U_3398)
| ~ sP457(U_3398) ),
inference(clausify,[status(thm)],[f_1202_3]) ).
cnf(f_1202_6,plain,
( v1_funct_2(U_3398,k1_relat_1(U_3398),k2_relat_1(U_3398))
| ~ sP457(U_3398) ),
inference(clausify,[status(thm)],[f_1202_3]) ).
cnf(f_1202_7,plain,
( m2_relset_1(U_3398,k1_relat_1(U_3398),k2_relat_1(U_3398))
| ~ sP457(U_3398) ),
inference(clausify,[status(thm)],[f_1202_3]) ).
fof(f_1203_1,plain,
! [A,B] :
( ( m2_relset_1(B,k1_relat_1(B),A)
& v1_funct_2(B,k1_relat_1(B),A)
& v1_funct_1(B) )
| ~ r1_tarski(k2_relat_1(B),A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t4_funct_2]) ).
fof(f_1203_2,plain,
! [U_3400,U_3399] :
( ( m2_relset_1(U_3399,k1_relat_1(U_3399),U_3400)
& v1_funct_2(U_3399,k1_relat_1(U_3399),U_3400)
& v1_funct_1(U_3399) )
| ~ r1_tarski(k2_relat_1(U_3399),U_3400)
| ~ v1_funct_1(U_3399)
| ~ v1_relat_1(U_3399) ),
inference(variable_rename,[status(thm)],[f_1203_1]) ).
fof(f_1203_3,plain,
( ! [U_3399,U_3400] :
( m2_relset_1(U_3399,k1_relat_1(U_3399),U_3400)
| ~ sP458(U_3399,U_3400) )
& ! [U_3399,U_3400] :
( v1_funct_2(U_3399,k1_relat_1(U_3399),U_3400)
| ~ sP458(U_3399,U_3400) )
& ! [U_3399,U_3400] :
( v1_funct_1(U_3399)
| ~ sP458(U_3399,U_3400) )
& ! [U_3399,U_3400] :
( sP458(U_3399,U_3400)
| ~ r1_tarski(k2_relat_1(U_3399),U_3400)
| ~ v1_funct_1(U_3399)
| ~ v1_relat_1(U_3399) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP458])],[f_1203_2]) ).
cnf(f_1203_4,plain,
( sP458(U_3399,U_3400)
| ~ r1_tarski(k2_relat_1(U_3399),U_3400)
| ~ v1_funct_1(U_3399)
| ~ v1_relat_1(U_3399) ),
inference(clausify,[status(thm)],[f_1203_3]) ).
cnf(f_1203_5,plain,
( v1_funct_1(U_3399)
| ~ sP458(U_3399,U_3400) ),
inference(clausify,[status(thm)],[f_1203_3]) ).
cnf(f_1203_6,plain,
( v1_funct_2(U_3399,k1_relat_1(U_3399),U_3400)
| ~ sP458(U_3399,U_3400) ),
inference(clausify,[status(thm)],[f_1203_3]) ).
cnf(f_1203_7,plain,
( m2_relset_1(U_3399,k1_relat_1(U_3399),U_3400)
| ~ sP458(U_3399,U_3400) ),
inference(clausify,[status(thm)],[f_1203_3]) ).
fof(f_1204_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ? [D] :
( ~ r2_hidden(k1_funct_1(C,D),B)
& r2_hidden(D,A) )
| k1_relat_1(C) != A
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t5_funct_2]) ).
fof(f_1204_2,plain,
! [U_3404,U_3403,U_3402] :
( ( m2_relset_1(U_3402,U_3404,U_3403)
& v1_funct_2(U_3402,U_3404,U_3403)
& v1_funct_1(U_3402) )
| ? [U_3401] :
( ~ r2_hidden(k1_funct_1(U_3402,U_3401),U_3403)
& r2_hidden(U_3401,U_3404) )
| k1_relat_1(U_3402) != U_3404
| ~ v1_funct_1(U_3402)
| ~ v1_relat_1(U_3402) ),
inference(variable_rename,[status(thm)],[f_1204_1]) ).
fof(f_1204_3,plain,
! [U_3404,U_3403,U_3402] :
( ( m2_relset_1(U_3402,U_3404,U_3403)
& v1_funct_2(U_3402,U_3404,U_3403)
& v1_funct_1(U_3402) )
| ( ~ r2_hidden(k1_funct_1(U_3402,sK310(U_3404,U_3403,U_3402)),U_3403)
& r2_hidden(sK310(U_3404,U_3403,U_3402),U_3404) )
| k1_relat_1(U_3402) != U_3404
| ~ v1_funct_1(U_3402)
| ~ v1_relat_1(U_3402) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK310]),skolemize(U_3401,sK310(U_3404,U_3403,U_3402))],[f_1204_2]) ).
fof(f_1204_4,plain,
( ! [U_3404,U_3402,U_3403] :
( m2_relset_1(U_3402,U_3404,U_3403)
| ~ sP460(U_3404,U_3402,U_3403) )
& ! [U_3404,U_3402,U_3403] :
( v1_funct_2(U_3402,U_3404,U_3403)
| ~ sP460(U_3404,U_3402,U_3403) )
& ! [U_3404,U_3402,U_3403] :
( v1_funct_1(U_3402)
| ~ sP460(U_3404,U_3402,U_3403) )
& ! [U_3404,U_3402,U_3403] :
( ~ r2_hidden(k1_funct_1(U_3402,sK310(U_3404,U_3403,U_3402)),U_3403)
| ~ sP459(U_3404,U_3402,U_3403) )
& ! [U_3404,U_3402,U_3403] :
( r2_hidden(sK310(U_3404,U_3403,U_3402),U_3404)
| ~ sP459(U_3404,U_3402,U_3403) )
& ! [U_3404,U_3402,U_3403] :
( sP460(U_3404,U_3402,U_3403)
| sP459(U_3404,U_3402,U_3403)
| k1_relat_1(U_3402) != U_3404
| ~ v1_funct_1(U_3402)
| ~ v1_relat_1(U_3402) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP459,sP460])],[f_1204_3]) ).
cnf(f_1204_5,plain,
( sP460(U_3404,U_3402,U_3403)
| sP459(U_3404,U_3402,U_3403)
| k1_relat_1(U_3402) != U_3404
| ~ v1_funct_1(U_3402)
| ~ v1_relat_1(U_3402) ),
inference(clausify,[status(thm)],[f_1204_4]) ).
cnf(f_1204_6,plain,
( r2_hidden(sK310(U_3404,U_3403,U_3402),U_3404)
| ~ sP459(U_3404,U_3402,U_3403) ),
inference(clausify,[status(thm)],[f_1204_4]) ).
cnf(f_1204_7,plain,
( ~ r2_hidden(k1_funct_1(U_3402,sK310(U_3404,U_3403,U_3402)),U_3403)
| ~ sP459(U_3404,U_3402,U_3403) ),
inference(clausify,[status(thm)],[f_1204_4]) ).
cnf(f_1204_8,plain,
( v1_funct_1(U_3402)
| ~ sP460(U_3404,U_3402,U_3403) ),
inference(clausify,[status(thm)],[f_1204_4]) ).
cnf(f_1204_9,plain,
( v1_funct_2(U_3402,U_3404,U_3403)
| ~ sP460(U_3404,U_3402,U_3403) ),
inference(clausify,[status(thm)],[f_1204_4]) ).
cnf(f_1204_10,plain,
( m2_relset_1(U_3402,U_3404,U_3403)
| ~ sP460(U_3404,U_3402,U_3403) ),
inference(clausify,[status(thm)],[f_1204_4]) ).
fof(f_1205_1,plain,
! [A,B,C,D] :
( r2_hidden(k1_funct_1(D,C),k2_relat_1(D))
| B = k1_xboole_0
| ~ r2_hidden(C,A)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t6_funct_2]) ).
fof(f_1205_2,plain,
! [U_3408,U_3407,U_3406,U_3405] :
( r2_hidden(k1_funct_1(U_3405,U_3406),k2_relat_1(U_3405))
| U_3407 = k1_xboole_0
| ~ r2_hidden(U_3406,U_3408)
| ~ m2_relset_1(U_3405,U_3408,U_3407)
| ~ v1_funct_2(U_3405,U_3408,U_3407)
| ~ v1_funct_1(U_3405) ),
inference(variable_rename,[status(thm)],[f_1205_1]) ).
fof(f_1205_3,plain,
! [U_3407,U_3405,U_3406,U_3408] :
( r2_hidden(k1_funct_1(U_3405,U_3406),k2_relat_1(U_3405))
| U_3407 = k1_xboole_0
| ~ r2_hidden(U_3406,U_3408)
| ~ m2_relset_1(U_3405,U_3408,U_3407)
| ~ v1_funct_2(U_3405,U_3408,U_3407)
| ~ v1_funct_1(U_3405) ),
inference(definitional_conversion,[status(esa)],[f_1205_2]) ).
cnf(f_1205_4,plain,
( r2_hidden(k1_funct_1(U_3405,U_3406),k2_relat_1(U_3405))
| U_3407 = k1_xboole_0
| ~ r2_hidden(U_3406,U_3408)
| ~ m2_relset_1(U_3405,U_3408,U_3407)
| ~ v1_funct_2(U_3405,U_3408,U_3407)
| ~ v1_funct_1(U_3405) ),
inference(clausify,[status(thm)],[f_1205_3]) ).
fof(f_1206_1,plain,
! [A,B,C,D] :
( r2_hidden(k1_funct_1(D,C),B)
| B = k1_xboole_0
| ~ r2_hidden(C,A)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t7_funct_2]) ).
fof(f_1206_2,plain,
! [U_3412,U_3411,U_3410,U_3409] :
( r2_hidden(k1_funct_1(U_3409,U_3410),U_3411)
| U_3411 = k1_xboole_0
| ~ r2_hidden(U_3410,U_3412)
| ~ m2_relset_1(U_3409,U_3412,U_3411)
| ~ v1_funct_2(U_3409,U_3412,U_3411)
| ~ v1_funct_1(U_3409) ),
inference(variable_rename,[status(thm)],[f_1206_1]) ).
fof(f_1206_3,plain,
! [U_3411,U_3412,U_3409,U_3410] :
( r2_hidden(k1_funct_1(U_3409,U_3410),U_3411)
| U_3411 = k1_xboole_0
| ~ r2_hidden(U_3410,U_3412)
| ~ m2_relset_1(U_3409,U_3412,U_3411)
| ~ v1_funct_2(U_3409,U_3412,U_3411)
| ~ v1_funct_1(U_3409) ),
inference(definitional_conversion,[status(esa)],[f_1206_2]) ).
cnf(f_1206_4,plain,
( r2_hidden(k1_funct_1(U_3409,U_3410),U_3411)
| U_3411 = k1_xboole_0
| ~ r2_hidden(U_3410,U_3412)
| ~ m2_relset_1(U_3409,U_3412,U_3411)
| ~ v1_funct_2(U_3409,U_3412,U_3411)
| ~ v1_funct_1(U_3409) ),
inference(clausify,[status(thm)],[f_1206_3]) ).
fof(f_1207_1,plain,
! [A,B,C,D] :
( ( m2_relset_1(D,A,C)
& v1_funct_2(D,A,C)
& v1_funct_1(D) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_tarski(k2_relat_1(D),C)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t8_funct_2]) ).
fof(f_1207_2,plain,
! [U_3416,U_3415,U_3414,U_3413] :
( ( m2_relset_1(U_3413,U_3416,U_3414)
& v1_funct_2(U_3413,U_3416,U_3414)
& v1_funct_1(U_3413) )
| ( U_3416 != k1_xboole_0
& U_3415 = k1_xboole_0 )
| ~ r1_tarski(k2_relat_1(U_3413),U_3414)
| ~ m2_relset_1(U_3413,U_3416,U_3415)
| ~ v1_funct_2(U_3413,U_3416,U_3415)
| ~ v1_funct_1(U_3413) ),
inference(variable_rename,[status(thm)],[f_1207_1]) ).
fof(f_1207_3,plain,
( ! [U_3413,U_3414,U_3416] :
( m2_relset_1(U_3413,U_3416,U_3414)
| ~ sP462(U_3413,U_3414,U_3416) )
& ! [U_3413,U_3414,U_3416] :
( v1_funct_2(U_3413,U_3416,U_3414)
| ~ sP462(U_3413,U_3414,U_3416) )
& ! [U_3413,U_3414,U_3416] :
( v1_funct_1(U_3413)
| ~ sP462(U_3413,U_3414,U_3416) )
& ! [U_3416,U_3415] :
( U_3416 != k1_xboole_0
| ~ sP461(U_3416,U_3415) )
& ! [U_3416,U_3415] :
( U_3415 = k1_xboole_0
| ~ sP461(U_3416,U_3415) )
& ! [U_3413,U_3414,U_3416,U_3415] :
( sP462(U_3413,U_3414,U_3416)
| sP461(U_3416,U_3415)
| ~ r1_tarski(k2_relat_1(U_3413),U_3414)
| ~ m2_relset_1(U_3413,U_3416,U_3415)
| ~ v1_funct_2(U_3413,U_3416,U_3415)
| ~ v1_funct_1(U_3413) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP461,sP462])],[f_1207_2]) ).
cnf(f_1207_4,plain,
( sP462(U_3413,U_3414,U_3416)
| sP461(U_3416,U_3415)
| ~ r1_tarski(k2_relat_1(U_3413),U_3414)
| ~ m2_relset_1(U_3413,U_3416,U_3415)
| ~ v1_funct_2(U_3413,U_3416,U_3415)
| ~ v1_funct_1(U_3413) ),
inference(clausify,[status(thm)],[f_1207_3]) ).
cnf(f_1207_5,plain,
( U_3415 = k1_xboole_0
| ~ sP461(U_3416,U_3415) ),
inference(clausify,[status(thm)],[f_1207_3]) ).
cnf(f_1207_6,plain,
( U_3416 != k1_xboole_0
| ~ sP461(U_3416,U_3415) ),
inference(clausify,[status(thm)],[f_1207_3]) ).
cnf(f_1207_7,plain,
( v1_funct_1(U_3413)
| ~ sP462(U_3413,U_3414,U_3416) ),
inference(clausify,[status(thm)],[f_1207_3]) ).
cnf(f_1207_8,plain,
( v1_funct_2(U_3413,U_3416,U_3414)
| ~ sP462(U_3413,U_3414,U_3416) ),
inference(clausify,[status(thm)],[f_1207_3]) ).
cnf(f_1207_9,plain,
( m2_relset_1(U_3413,U_3416,U_3414)
| ~ sP462(U_3413,U_3414,U_3416) ),
inference(clausify,[status(thm)],[f_1207_3]) ).
fof(f_1208_1,plain,
! [A,B,C,D] :
( ( m2_relset_1(D,A,C)
& v1_funct_2(D,A,C)
& v1_funct_1(D) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_tarski(B,C)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t9_funct_2]) ).
fof(f_1208_2,plain,
! [U_3420,U_3419,U_3418,U_3417] :
( ( m2_relset_1(U_3417,U_3420,U_3418)
& v1_funct_2(U_3417,U_3420,U_3418)
& v1_funct_1(U_3417) )
| ( U_3420 != k1_xboole_0
& U_3419 = k1_xboole_0 )
| ~ r1_tarski(U_3419,U_3418)
| ~ m2_relset_1(U_3417,U_3420,U_3419)
| ~ v1_funct_2(U_3417,U_3420,U_3419)
| ~ v1_funct_1(U_3417) ),
inference(variable_rename,[status(thm)],[f_1208_1]) ).
fof(f_1208_3,plain,
( ! [U_3417,U_3418,U_3420] :
( m2_relset_1(U_3417,U_3420,U_3418)
| ~ sP464(U_3417,U_3418,U_3420) )
& ! [U_3417,U_3418,U_3420] :
( v1_funct_2(U_3417,U_3420,U_3418)
| ~ sP464(U_3417,U_3418,U_3420) )
& ! [U_3417,U_3418,U_3420] :
( v1_funct_1(U_3417)
| ~ sP464(U_3417,U_3418,U_3420) )
& ! [U_3420,U_3419] :
( U_3420 != k1_xboole_0
| ~ sP463(U_3420,U_3419) )
& ! [U_3420,U_3419] :
( U_3419 = k1_xboole_0
| ~ sP463(U_3420,U_3419) )
& ! [U_3417,U_3418,U_3420,U_3419] :
( sP464(U_3417,U_3418,U_3420)
| sP463(U_3420,U_3419)
| ~ r1_tarski(U_3419,U_3418)
| ~ m2_relset_1(U_3417,U_3420,U_3419)
| ~ v1_funct_2(U_3417,U_3420,U_3419)
| ~ v1_funct_1(U_3417) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP463,sP464])],[f_1208_2]) ).
cnf(f_1208_4,plain,
( sP464(U_3417,U_3418,U_3420)
| sP463(U_3420,U_3419)
| ~ r1_tarski(U_3419,U_3418)
| ~ m2_relset_1(U_3417,U_3420,U_3419)
| ~ v1_funct_2(U_3417,U_3420,U_3419)
| ~ v1_funct_1(U_3417) ),
inference(clausify,[status(thm)],[f_1208_3]) ).
cnf(f_1208_5,plain,
( U_3419 = k1_xboole_0
| ~ sP463(U_3420,U_3419) ),
inference(clausify,[status(thm)],[f_1208_3]) ).
cnf(f_1208_6,plain,
( U_3420 != k1_xboole_0
| ~ sP463(U_3420,U_3419) ),
inference(clausify,[status(thm)],[f_1208_3]) ).
cnf(f_1208_7,plain,
( v1_funct_1(U_3417)
| ~ sP464(U_3417,U_3418,U_3420) ),
inference(clausify,[status(thm)],[f_1208_3]) ).
cnf(f_1208_8,plain,
( v1_funct_2(U_3417,U_3420,U_3418)
| ~ sP464(U_3417,U_3418,U_3420) ),
inference(clausify,[status(thm)],[f_1208_3]) ).
cnf(f_1208_9,plain,
( m2_relset_1(U_3417,U_3420,U_3418)
| ~ sP464(U_3417,U_3418,U_3420) ),
inference(clausify,[status(thm)],[f_1208_3]) ).
fof(f_1209_1,plain,
! [A,B,C] :
( ( C = k1_funct_2(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ? [E] :
( r1_tarski(k2_relat_1(E),B)
& k1_relat_1(E) = A
& D = E
& v1_funct_1(E)
& v1_relat_1(E) ) )
| ( ! [E] :
( ~ r1_tarski(k2_relat_1(E),B)
| k1_relat_1(E) != A
| D != E
| ~ v1_funct_1(E)
| ~ v1_relat_1(E) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ! [E] :
( ~ r1_tarski(k2_relat_1(E),B)
| k1_relat_1(E) != A
| D != E
| ~ v1_funct_1(E)
| ~ v1_relat_1(E) ) )
& ( ? [E] :
( r1_tarski(k2_relat_1(E),B)
& k1_relat_1(E) = A
& D = E
& v1_funct_1(E)
& v1_relat_1(E) )
| ~ r2_hidden(D,C) ) )
| C != k1_funct_2(A,B) ) ),
inference(fof_nnf,[status(thm)],[d2_funct_2]) ).
fof(f_1209_2,plain,
! [U_3429,U_3428,U_3427] :
( ( U_3427 = k1_funct_2(U_3429,U_3428)
| ? [U_3426] :
( ( ~ r2_hidden(U_3426,U_3427)
& ? [U_3425] :
( r1_tarski(k2_relat_1(U_3425),U_3428)
& k1_relat_1(U_3425) = U_3429
& U_3426 = U_3425
& v1_funct_1(U_3425)
& v1_relat_1(U_3425) ) )
| ( ! [U_3424] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3428)
| k1_relat_1(U_3424) != U_3429
| U_3426 != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424) )
& r2_hidden(U_3426,U_3427) ) ) )
& ( ! [U_3423] :
( ( r2_hidden(U_3423,U_3427)
| ! [U_3422] :
( ~ r1_tarski(k2_relat_1(U_3422),U_3428)
| k1_relat_1(U_3422) != U_3429
| U_3423 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422) ) )
& ( ? [U_3421] :
( r1_tarski(k2_relat_1(U_3421),U_3428)
& k1_relat_1(U_3421) = U_3429
& U_3423 = U_3421
& v1_funct_1(U_3421)
& v1_relat_1(U_3421) )
| ~ r2_hidden(U_3423,U_3427) ) )
| U_3427 != k1_funct_2(U_3429,U_3428) ) ),
inference(variable_rename,[status(thm)],[f_1209_1]) ).
fof(f_1209_3,plain,
( ! [U_3439,U_3437,U_3435] :
( U_3435 = k1_funct_2(U_3439,U_3437)
| ? [U_3433] :
( ~ r2_hidden(U_3433,U_3435)
& ? [U_3425] :
( r1_tarski(k2_relat_1(U_3425),U_3437)
& k1_relat_1(U_3425) = U_3439
& U_3433 = U_3425
& v1_funct_1(U_3425)
& v1_relat_1(U_3425) ) )
| ? [U_3432] :
( ! [U_3424] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| U_3432 != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424) )
& r2_hidden(U_3432,U_3435) ) )
& ! [U_3438,U_3436,U_3434] :
( ( ! [U_3431] :
( r2_hidden(U_3431,U_3434)
| ! [U_3422] :
( ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422) ) )
& ! [U_3430] :
( ? [U_3421] :
( r1_tarski(k2_relat_1(U_3421),U_3436)
& k1_relat_1(U_3421) = U_3438
& U_3430 = U_3421
& v1_funct_1(U_3421)
& v1_relat_1(U_3421) )
| ~ r2_hidden(U_3430,U_3434) ) )
| U_3434 != k1_funct_2(U_3438,U_3436) ) ),
inference(miniscope,[status(thm)],[f_1209_2]) ).
fof(f_1209_4,plain,
( ! [U_3439,U_3437,U_3435] :
( U_3435 = k1_funct_2(U_3439,U_3437)
| ? [U_3433] :
( ~ r2_hidden(U_3433,U_3435)
& ? [U_3425] :
( r1_tarski(k2_relat_1(U_3425),U_3437)
& k1_relat_1(U_3425) = U_3439
& U_3433 = U_3425
& v1_funct_1(U_3425)
& v1_relat_1(U_3425) ) )
| ? [U_3432] :
( ! [U_3424] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| U_3432 != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424) )
& r2_hidden(U_3432,U_3435) ) )
& ! [U_3438,U_3436,U_3434] :
( ( ! [U_3431] :
( r2_hidden(U_3431,U_3434)
| ! [U_3422] :
( ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422) ) )
& ! [U_3430] :
( ( r1_tarski(k2_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)),U_3436)
& k1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) = U_3438
& U_3430 = sK311(U_3438,U_3436,U_3434,U_3430)
& v1_funct_1(sK311(U_3438,U_3436,U_3434,U_3430))
& v1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) )
| ~ r2_hidden(U_3430,U_3434) ) )
| U_3434 != k1_funct_2(U_3438,U_3436) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK311]),skolemize(U_3421,sK311(U_3438,U_3436,U_3434,U_3430))],[f_1209_3]) ).
fof(f_1209_5,plain,
( ! [U_3439,U_3437,U_3435] :
( U_3435 = k1_funct_2(U_3439,U_3437)
| ? [U_3433] :
( ~ r2_hidden(U_3433,U_3435)
& ? [U_3425] :
( r1_tarski(k2_relat_1(U_3425),U_3437)
& k1_relat_1(U_3425) = U_3439
& U_3433 = U_3425
& v1_funct_1(U_3425)
& v1_relat_1(U_3425) ) )
| ( ! [U_3424] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| sK312(U_3439,U_3437,U_3435) != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424) )
& r2_hidden(sK312(U_3439,U_3437,U_3435),U_3435) ) )
& ! [U_3438,U_3436,U_3434] :
( ( ! [U_3431] :
( r2_hidden(U_3431,U_3434)
| ! [U_3422] :
( ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422) ) )
& ! [U_3430] :
( ( r1_tarski(k2_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)),U_3436)
& k1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) = U_3438
& U_3430 = sK311(U_3438,U_3436,U_3434,U_3430)
& v1_funct_1(sK311(U_3438,U_3436,U_3434,U_3430))
& v1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) )
| ~ r2_hidden(U_3430,U_3434) ) )
| U_3434 != k1_funct_2(U_3438,U_3436) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK312]),skolemize(U_3432,sK312(U_3439,U_3437,U_3435))],[f_1209_4]) ).
fof(f_1209_6,plain,
( ! [U_3439,U_3437,U_3435] :
( U_3435 = k1_funct_2(U_3439,U_3437)
| ( ~ r2_hidden(sK313(U_3439,U_3437,U_3435),U_3435)
& ? [U_3425] :
( r1_tarski(k2_relat_1(U_3425),U_3437)
& k1_relat_1(U_3425) = U_3439
& sK313(U_3439,U_3437,U_3435) = U_3425
& v1_funct_1(U_3425)
& v1_relat_1(U_3425) ) )
| ( ! [U_3424] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| sK312(U_3439,U_3437,U_3435) != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424) )
& r2_hidden(sK312(U_3439,U_3437,U_3435),U_3435) ) )
& ! [U_3438,U_3436,U_3434] :
( ( ! [U_3431] :
( r2_hidden(U_3431,U_3434)
| ! [U_3422] :
( ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422) ) )
& ! [U_3430] :
( ( r1_tarski(k2_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)),U_3436)
& k1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) = U_3438
& U_3430 = sK311(U_3438,U_3436,U_3434,U_3430)
& v1_funct_1(sK311(U_3438,U_3436,U_3434,U_3430))
& v1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) )
| ~ r2_hidden(U_3430,U_3434) ) )
| U_3434 != k1_funct_2(U_3438,U_3436) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK313]),skolemize(U_3433,sK313(U_3439,U_3437,U_3435))],[f_1209_5]) ).
fof(f_1209_7,plain,
( ! [U_3439,U_3437,U_3435] :
( U_3435 = k1_funct_2(U_3439,U_3437)
| ( ~ r2_hidden(sK313(U_3439,U_3437,U_3435),U_3435)
& r1_tarski(k2_relat_1(sK314(U_3439,U_3437,U_3435)),U_3437)
& k1_relat_1(sK314(U_3439,U_3437,U_3435)) = U_3439
& sK313(U_3439,U_3437,U_3435) = sK314(U_3439,U_3437,U_3435)
& v1_funct_1(sK314(U_3439,U_3437,U_3435))
& v1_relat_1(sK314(U_3439,U_3437,U_3435)) )
| ( ! [U_3424] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| sK312(U_3439,U_3437,U_3435) != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424) )
& r2_hidden(sK312(U_3439,U_3437,U_3435),U_3435) ) )
& ! [U_3438,U_3436,U_3434] :
( ( ! [U_3431] :
( r2_hidden(U_3431,U_3434)
| ! [U_3422] :
( ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422) ) )
& ! [U_3430] :
( ( r1_tarski(k2_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)),U_3436)
& k1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) = U_3438
& U_3430 = sK311(U_3438,U_3436,U_3434,U_3430)
& v1_funct_1(sK311(U_3438,U_3436,U_3434,U_3430))
& v1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) )
| ~ r2_hidden(U_3430,U_3434) ) )
| U_3434 != k1_funct_2(U_3438,U_3436) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK314]),skolemize(U_3425,sK314(U_3439,U_3437,U_3435))],[f_1209_6]) ).
fof(f_1209_8,plain,
( ! [U_3437,U_3439,U_3435] :
( ~ r2_hidden(sK313(U_3439,U_3437,U_3435),U_3435)
| ~ sP468(U_3437,U_3439,U_3435) )
& ! [U_3437,U_3439,U_3435] :
( r1_tarski(k2_relat_1(sK314(U_3439,U_3437,U_3435)),U_3437)
| ~ sP468(U_3437,U_3439,U_3435) )
& ! [U_3437,U_3439,U_3435] :
( k1_relat_1(sK314(U_3439,U_3437,U_3435)) = U_3439
| ~ sP468(U_3437,U_3439,U_3435) )
& ! [U_3437,U_3439,U_3435] :
( sK313(U_3439,U_3437,U_3435) = sK314(U_3439,U_3437,U_3435)
| ~ sP468(U_3437,U_3439,U_3435) )
& ! [U_3437,U_3439,U_3435] :
( v1_funct_1(sK314(U_3439,U_3437,U_3435))
| ~ sP468(U_3437,U_3439,U_3435) )
& ! [U_3437,U_3439,U_3435] :
( v1_relat_1(sK314(U_3439,U_3437,U_3435))
| ~ sP468(U_3437,U_3439,U_3435) )
& ! [U_3424,U_3437,U_3439,U_3435] :
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| sK312(U_3439,U_3437,U_3435) != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424)
| ~ sP467(U_3424,U_3437,U_3439,U_3435) )
& ! [U_3424,U_3437,U_3439,U_3435] :
( r2_hidden(sK312(U_3439,U_3437,U_3435),U_3435)
| ~ sP467(U_3424,U_3437,U_3439,U_3435) )
& ! [U_3434,U_3430,U_3438,U_3436] :
( r1_tarski(k2_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)),U_3436)
| ~ sP465(U_3434,U_3430,U_3438,U_3436) )
& ! [U_3434,U_3430,U_3438,U_3436] :
( k1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) = U_3438
| ~ sP465(U_3434,U_3430,U_3438,U_3436) )
& ! [U_3434,U_3430,U_3438,U_3436] :
( U_3430 = sK311(U_3438,U_3436,U_3434,U_3430)
| ~ sP465(U_3434,U_3430,U_3438,U_3436) )
& ! [U_3434,U_3430,U_3438,U_3436] :
( v1_funct_1(sK311(U_3438,U_3436,U_3434,U_3430))
| ~ sP465(U_3434,U_3430,U_3438,U_3436) )
& ! [U_3434,U_3430,U_3438,U_3436] :
( v1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430))
| ~ sP465(U_3434,U_3430,U_3438,U_3436) )
& ! [U_3434,U_3430,U_3431,U_3438,U_3436,U_3422] :
( r2_hidden(U_3431,U_3434)
| ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422)
| ~ sP466(U_3434,U_3430,U_3431,U_3438,U_3436,U_3422) )
& ! [U_3434,U_3430,U_3431,U_3438,U_3436,U_3422] :
( sP465(U_3434,U_3430,U_3438,U_3436)
| ~ r2_hidden(U_3430,U_3434)
| ~ sP466(U_3434,U_3430,U_3431,U_3438,U_3436,U_3422) )
& ! [U_3424,U_3437,U_3439,U_3435] :
( U_3435 = k1_funct_2(U_3439,U_3437)
| sP468(U_3437,U_3439,U_3435)
| sP467(U_3424,U_3437,U_3439,U_3435) )
& ! [U_3434,U_3430,U_3431,U_3438,U_3436,U_3422] :
( sP466(U_3434,U_3430,U_3431,U_3438,U_3436,U_3422)
| U_3434 != k1_funct_2(U_3438,U_3436) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP465,sP466,sP467,sP468])],[f_1209_7]) ).
cnf(f_1209_9,plain,
( sP466(U_3434,U_3430,U_3431,U_3438,U_3436,U_3422)
| U_3434 != k1_funct_2(U_3438,U_3436) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_10,plain,
( U_3435 = k1_funct_2(U_3439,U_3437)
| sP468(U_3437,U_3439,U_3435)
| sP467(U_3424,U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_11,plain,
( sP465(U_3434,U_3430,U_3438,U_3436)
| ~ r2_hidden(U_3430,U_3434)
| ~ sP466(U_3434,U_3430,U_3431,U_3438,U_3436,U_3422) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_12,plain,
( r2_hidden(U_3431,U_3434)
| ~ r1_tarski(k2_relat_1(U_3422),U_3436)
| k1_relat_1(U_3422) != U_3438
| U_3431 != U_3422
| ~ v1_funct_1(U_3422)
| ~ v1_relat_1(U_3422)
| ~ sP466(U_3434,U_3430,U_3431,U_3438,U_3436,U_3422) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_13,plain,
( v1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430))
| ~ sP465(U_3434,U_3430,U_3438,U_3436) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_14,plain,
( v1_funct_1(sK311(U_3438,U_3436,U_3434,U_3430))
| ~ sP465(U_3434,U_3430,U_3438,U_3436) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_15,plain,
( U_3430 = sK311(U_3438,U_3436,U_3434,U_3430)
| ~ sP465(U_3434,U_3430,U_3438,U_3436) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_16,plain,
( k1_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)) = U_3438
| ~ sP465(U_3434,U_3430,U_3438,U_3436) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_17,plain,
( r1_tarski(k2_relat_1(sK311(U_3438,U_3436,U_3434,U_3430)),U_3436)
| ~ sP465(U_3434,U_3430,U_3438,U_3436) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_18,plain,
( r2_hidden(sK312(U_3439,U_3437,U_3435),U_3435)
| ~ sP467(U_3424,U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_19,plain,
( ~ r1_tarski(k2_relat_1(U_3424),U_3437)
| k1_relat_1(U_3424) != U_3439
| sK312(U_3439,U_3437,U_3435) != U_3424
| ~ v1_funct_1(U_3424)
| ~ v1_relat_1(U_3424)
| ~ sP467(U_3424,U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_20,plain,
( v1_relat_1(sK314(U_3439,U_3437,U_3435))
| ~ sP468(U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_21,plain,
( v1_funct_1(sK314(U_3439,U_3437,U_3435))
| ~ sP468(U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_22,plain,
( sK313(U_3439,U_3437,U_3435) = sK314(U_3439,U_3437,U_3435)
| ~ sP468(U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_23,plain,
( k1_relat_1(sK314(U_3439,U_3437,U_3435)) = U_3439
| ~ sP468(U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_24,plain,
( r1_tarski(k2_relat_1(sK314(U_3439,U_3437,U_3435)),U_3437)
| ~ sP468(U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
cnf(f_1209_25,plain,
( ~ r2_hidden(sK313(U_3439,U_3437,U_3435),U_3435)
| ~ sP468(U_3437,U_3439,U_3435) ),
inference(clausify,[status(thm)],[f_1209_8]) ).
fof(f_1210_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_funct_2]) ).
fof(f_1210_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1210_1]) ).
cnf(f_1210_3,plain,
$true,
inference(clausify,[status(thm)],[f_1210_2]) ).
fof(f_1211_1,plain,
! [A,B,C] :
( r2_hidden(C,k1_funct_2(A,B))
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t11_funct_2]) ).
fof(f_1211_2,plain,
! [U_3442,U_3441,U_3440] :
( r2_hidden(U_3440,k1_funct_2(U_3442,U_3441))
| ( U_3442 != k1_xboole_0
& U_3441 = k1_xboole_0 )
| ~ m2_relset_1(U_3440,U_3442,U_3441)
| ~ v1_funct_2(U_3440,U_3442,U_3441)
| ~ v1_funct_1(U_3440) ),
inference(variable_rename,[status(thm)],[f_1211_1]) ).
fof(f_1211_3,plain,
( ! [U_3441,U_3442] :
( U_3442 != k1_xboole_0
| ~ sP469(U_3441,U_3442) )
& ! [U_3441,U_3442] :
( U_3441 = k1_xboole_0
| ~ sP469(U_3441,U_3442) )
& ! [U_3441,U_3440,U_3442] :
( r2_hidden(U_3440,k1_funct_2(U_3442,U_3441))
| sP469(U_3441,U_3442)
| ~ m2_relset_1(U_3440,U_3442,U_3441)
| ~ v1_funct_2(U_3440,U_3442,U_3441)
| ~ v1_funct_1(U_3440) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP469])],[f_1211_2]) ).
cnf(f_1211_4,plain,
( r2_hidden(U_3440,k1_funct_2(U_3442,U_3441))
| sP469(U_3441,U_3442)
| ~ m2_relset_1(U_3440,U_3442,U_3441)
| ~ v1_funct_2(U_3440,U_3442,U_3441)
| ~ v1_funct_1(U_3440) ),
inference(clausify,[status(thm)],[f_1211_3]) ).
cnf(f_1211_5,plain,
( U_3441 = k1_xboole_0
| ~ sP469(U_3441,U_3442) ),
inference(clausify,[status(thm)],[f_1211_3]) ).
cnf(f_1211_6,plain,
( U_3442 != k1_xboole_0
| ~ sP469(U_3441,U_3442) ),
inference(clausify,[status(thm)],[f_1211_3]) ).
fof(f_1212_1,plain,
! [A,B] :
( r2_hidden(B,k1_funct_2(A,A))
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t12_funct_2]) ).
fof(f_1212_2,plain,
! [U_3444,U_3443] :
( r2_hidden(U_3443,k1_funct_2(U_3444,U_3444))
| ~ m2_relset_1(U_3443,U_3444,U_3444)
| ~ v1_funct_2(U_3443,U_3444,U_3444)
| ~ v1_funct_1(U_3443) ),
inference(variable_rename,[status(thm)],[f_1212_1]) ).
fof(f_1212_3,plain,
! [U_3443,U_3444] :
( r2_hidden(U_3443,k1_funct_2(U_3444,U_3444))
| ~ m2_relset_1(U_3443,U_3444,U_3444)
| ~ v1_funct_2(U_3443,U_3444,U_3444)
| ~ v1_funct_1(U_3443) ),
inference(definitional_conversion,[status(esa)],[f_1212_2]) ).
cnf(f_1212_4,plain,
( r2_hidden(U_3443,k1_funct_2(U_3444,U_3444))
| ~ m2_relset_1(U_3443,U_3444,U_3444)
| ~ v1_funct_2(U_3443,U_3444,U_3444)
| ~ v1_funct_1(U_3443) ),
inference(clausify,[status(thm)],[f_1212_3]) ).
fof(f_1213_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_funct_2]) ).
fof(f_1213_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1213_1]) ).
cnf(f_1213_3,plain,
$true,
inference(clausify,[status(thm)],[f_1213_2]) ).
fof(f_1214_1,plain,
! [A] :
( k1_funct_2(A,k1_xboole_0) = k1_xboole_0
| A = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t14_funct_2]) ).
fof(f_1214_2,plain,
! [U_3445] :
( k1_funct_2(U_3445,k1_xboole_0) = k1_xboole_0
| U_3445 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[f_1214_1]) ).
fof(f_1214_3,plain,
! [U_3445] :
( k1_funct_2(U_3445,k1_xboole_0) = k1_xboole_0
| U_3445 = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_1214_2]) ).
cnf(f_1214_4,plain,
( k1_funct_2(U_3445,k1_xboole_0) = k1_xboole_0
| U_3445 = k1_xboole_0 ),
inference(clausify,[status(thm)],[f_1214_3]) ).
fof(f_1215_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_funct_2]) ).
fof(f_1215_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1215_1]) ).
cnf(f_1215_3,plain,
$true,
inference(clausify,[status(thm)],[f_1215_2]) ).
fof(f_1216_1,plain,
! [A,B,C] :
( k2_relat_1(C) = B
| B = k1_xboole_0
| ? [D] :
( ! [E] :
( D != k1_funct_1(C,E)
| ~ r2_hidden(E,A) )
& r2_hidden(D,B) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t16_funct_2]) ).
fof(f_1216_2,plain,
! [U_3450,U_3449,U_3448] :
( k2_relat_1(U_3448) = U_3449
| U_3449 = k1_xboole_0
| ? [U_3447] :
( ! [U_3446] :
( U_3447 != k1_funct_1(U_3448,U_3446)
| ~ r2_hidden(U_3446,U_3450) )
& r2_hidden(U_3447,U_3449) )
| ~ m2_relset_1(U_3448,U_3450,U_3449)
| ~ v1_funct_2(U_3448,U_3450,U_3449)
| ~ v1_funct_1(U_3448) ),
inference(variable_rename,[status(thm)],[f_1216_1]) ).
fof(f_1216_3,plain,
! [U_3450,U_3449,U_3448] :
( k2_relat_1(U_3448) = U_3449
| U_3449 = k1_xboole_0
| ( ! [U_3446] :
( sK315(U_3450,U_3449,U_3448) != k1_funct_1(U_3448,U_3446)
| ~ r2_hidden(U_3446,U_3450) )
& r2_hidden(sK315(U_3450,U_3449,U_3448),U_3449) )
| ~ m2_relset_1(U_3448,U_3450,U_3449)
| ~ v1_funct_2(U_3448,U_3450,U_3449)
| ~ v1_funct_1(U_3448) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315]),skolemize(U_3447,sK315(U_3450,U_3449,U_3448))],[f_1216_2]) ).
fof(f_1216_4,plain,
( ! [U_3449,U_3448,U_3446,U_3450] :
( sK315(U_3450,U_3449,U_3448) != k1_funct_1(U_3448,U_3446)
| ~ r2_hidden(U_3446,U_3450)
| ~ sP470(U_3449,U_3448,U_3446,U_3450) )
& ! [U_3449,U_3448,U_3446,U_3450] :
( r2_hidden(sK315(U_3450,U_3449,U_3448),U_3449)
| ~ sP470(U_3449,U_3448,U_3446,U_3450) )
& ! [U_3449,U_3448,U_3446,U_3450] :
( k2_relat_1(U_3448) = U_3449
| U_3449 = k1_xboole_0
| sP470(U_3449,U_3448,U_3446,U_3450)
| ~ m2_relset_1(U_3448,U_3450,U_3449)
| ~ v1_funct_2(U_3448,U_3450,U_3449)
| ~ v1_funct_1(U_3448) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP470])],[f_1216_3]) ).
cnf(f_1216_5,plain,
( k2_relat_1(U_3448) = U_3449
| U_3449 = k1_xboole_0
| sP470(U_3449,U_3448,U_3446,U_3450)
| ~ m2_relset_1(U_3448,U_3450,U_3449)
| ~ v1_funct_2(U_3448,U_3450,U_3449)
| ~ v1_funct_1(U_3448) ),
inference(clausify,[status(thm)],[f_1216_4]) ).
cnf(f_1216_6,plain,
( r2_hidden(sK315(U_3450,U_3449,U_3448),U_3449)
| ~ sP470(U_3449,U_3448,U_3446,U_3450) ),
inference(clausify,[status(thm)],[f_1216_4]) ).
cnf(f_1216_7,plain,
( sK315(U_3450,U_3449,U_3448) != k1_funct_1(U_3448,U_3446)
| ~ r2_hidden(U_3446,U_3450)
| ~ sP470(U_3449,U_3448,U_3446,U_3450) ),
inference(clausify,[status(thm)],[f_1216_4]) ).
fof(f_1217_1,plain,
! [A,B,C,D] :
( ? [E] :
( k1_funct_1(D,E) = C
& r2_hidden(E,A) )
| k2_relat_1(D) != B
| ~ r2_hidden(C,B)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t17_funct_2]) ).
fof(f_1217_2,plain,
! [U_3455,U_3454,U_3453,U_3452] :
( ? [U_3451] :
( k1_funct_1(U_3452,U_3451) = U_3453
& r2_hidden(U_3451,U_3455) )
| k2_relat_1(U_3452) != U_3454
| ~ r2_hidden(U_3453,U_3454)
| ~ m2_relset_1(U_3452,U_3455,U_3454)
| ~ v1_funct_2(U_3452,U_3455,U_3454)
| ~ v1_funct_1(U_3452) ),
inference(variable_rename,[status(thm)],[f_1217_1]) ).
fof(f_1217_3,plain,
! [U_3455,U_3454,U_3453,U_3452] :
( ( k1_funct_1(U_3452,sK316(U_3455,U_3454,U_3453,U_3452)) = U_3453
& r2_hidden(sK316(U_3455,U_3454,U_3453,U_3452),U_3455) )
| k2_relat_1(U_3452) != U_3454
| ~ r2_hidden(U_3453,U_3454)
| ~ m2_relset_1(U_3452,U_3455,U_3454)
| ~ v1_funct_2(U_3452,U_3455,U_3454)
| ~ v1_funct_1(U_3452) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK316]),skolemize(U_3451,sK316(U_3455,U_3454,U_3453,U_3452))],[f_1217_2]) ).
fof(f_1217_4,plain,
( ! [U_3452,U_3455,U_3454,U_3453] :
( k1_funct_1(U_3452,sK316(U_3455,U_3454,U_3453,U_3452)) = U_3453
| ~ sP471(U_3452,U_3455,U_3454,U_3453) )
& ! [U_3452,U_3455,U_3454,U_3453] :
( r2_hidden(sK316(U_3455,U_3454,U_3453,U_3452),U_3455)
| ~ sP471(U_3452,U_3455,U_3454,U_3453) )
& ! [U_3452,U_3455,U_3454,U_3453] :
( sP471(U_3452,U_3455,U_3454,U_3453)
| k2_relat_1(U_3452) != U_3454
| ~ r2_hidden(U_3453,U_3454)
| ~ m2_relset_1(U_3452,U_3455,U_3454)
| ~ v1_funct_2(U_3452,U_3455,U_3454)
| ~ v1_funct_1(U_3452) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP471])],[f_1217_3]) ).
cnf(f_1217_5,plain,
( sP471(U_3452,U_3455,U_3454,U_3453)
| k2_relat_1(U_3452) != U_3454
| ~ r2_hidden(U_3453,U_3454)
| ~ m2_relset_1(U_3452,U_3455,U_3454)
| ~ v1_funct_2(U_3452,U_3455,U_3454)
| ~ v1_funct_1(U_3452) ),
inference(clausify,[status(thm)],[f_1217_4]) ).
cnf(f_1217_6,plain,
( r2_hidden(sK316(U_3455,U_3454,U_3453,U_3452),U_3455)
| ~ sP471(U_3452,U_3455,U_3454,U_3453) ),
inference(clausify,[status(thm)],[f_1217_4]) ).
cnf(f_1217_7,plain,
( k1_funct_1(U_3452,sK316(U_3455,U_3454,U_3453,U_3452)) = U_3453
| ~ sP471(U_3452,U_3455,U_3454,U_3453) ),
inference(clausify,[status(thm)],[f_1217_4]) ).
fof(f_1218_1,plain,
! [A,B,C] :
( ! [D] :
( C = D
| ? [E] :
( k1_funct_1(C,E) != k1_funct_1(D,E)
& r2_hidden(E,A) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t18_funct_2]) ).
fof(f_1218_2,plain,
! [U_3460,U_3459,U_3458] :
( ! [U_3457] :
( U_3458 = U_3457
| ? [U_3456] :
( k1_funct_1(U_3458,U_3456) != k1_funct_1(U_3457,U_3456)
& r2_hidden(U_3456,U_3460) )
| ~ m2_relset_1(U_3457,U_3460,U_3459)
| ~ v1_funct_2(U_3457,U_3460,U_3459)
| ~ v1_funct_1(U_3457) )
| ~ m2_relset_1(U_3458,U_3460,U_3459)
| ~ v1_funct_2(U_3458,U_3460,U_3459)
| ~ v1_funct_1(U_3458) ),
inference(variable_rename,[status(thm)],[f_1218_1]) ).
fof(f_1218_3,plain,
! [U_3460,U_3459,U_3458] :
( ! [U_3457] :
( U_3458 = U_3457
| ( k1_funct_1(U_3458,sK317(U_3460,U_3459,U_3458,U_3457)) != k1_funct_1(U_3457,sK317(U_3460,U_3459,U_3458,U_3457))
& r2_hidden(sK317(U_3460,U_3459,U_3458,U_3457),U_3460) )
| ~ m2_relset_1(U_3457,U_3460,U_3459)
| ~ v1_funct_2(U_3457,U_3460,U_3459)
| ~ v1_funct_1(U_3457) )
| ~ m2_relset_1(U_3458,U_3460,U_3459)
| ~ v1_funct_2(U_3458,U_3460,U_3459)
| ~ v1_funct_1(U_3458) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK317]),skolemize(U_3456,sK317(U_3460,U_3459,U_3458,U_3457))],[f_1218_2]) ).
fof(f_1218_4,plain,
( ! [U_3457,U_3460,U_3458,U_3459] :
( k1_funct_1(U_3458,sK317(U_3460,U_3459,U_3458,U_3457)) != k1_funct_1(U_3457,sK317(U_3460,U_3459,U_3458,U_3457))
| ~ sP472(U_3457,U_3460,U_3458,U_3459) )
& ! [U_3457,U_3460,U_3458,U_3459] :
( r2_hidden(sK317(U_3460,U_3459,U_3458,U_3457),U_3460)
| ~ sP472(U_3457,U_3460,U_3458,U_3459) )
& ! [U_3457,U_3460,U_3458,U_3459] :
( U_3458 = U_3457
| sP472(U_3457,U_3460,U_3458,U_3459)
| ~ m2_relset_1(U_3457,U_3460,U_3459)
| ~ v1_funct_2(U_3457,U_3460,U_3459)
| ~ v1_funct_1(U_3457)
| ~ m2_relset_1(U_3458,U_3460,U_3459)
| ~ v1_funct_2(U_3458,U_3460,U_3459)
| ~ v1_funct_1(U_3458) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP472])],[f_1218_3]) ).
cnf(f_1218_5,plain,
( U_3458 = U_3457
| sP472(U_3457,U_3460,U_3458,U_3459)
| ~ m2_relset_1(U_3457,U_3460,U_3459)
| ~ v1_funct_2(U_3457,U_3460,U_3459)
| ~ v1_funct_1(U_3457)
| ~ m2_relset_1(U_3458,U_3460,U_3459)
| ~ v1_funct_2(U_3458,U_3460,U_3459)
| ~ v1_funct_1(U_3458) ),
inference(clausify,[status(thm)],[f_1218_4]) ).
cnf(f_1218_6,plain,
( r2_hidden(sK317(U_3460,U_3459,U_3458,U_3457),U_3460)
| ~ sP472(U_3457,U_3460,U_3458,U_3459) ),
inference(clausify,[status(thm)],[f_1218_4]) ).
cnf(f_1218_7,plain,
( k1_funct_1(U_3458,sK317(U_3460,U_3459,U_3458,U_3457)) != k1_funct_1(U_3457,sK317(U_3460,U_3459,U_3458,U_3457))
| ~ sP472(U_3457,U_3460,U_3458,U_3459) ),
inference(clausify,[status(thm)],[f_1218_4]) ).
fof(f_1219_1,plain,
! [A,B,C,D] :
( ! [E] :
( ( m2_relset_1(k1_partfun1(A,B,B,C,D,E),A,C)
& v1_funct_2(k1_partfun1(A,B,B,C,D,E),A,C)
& v1_funct_1(k1_partfun1(A,B,B,C,D,E)) )
| ( A != k1_xboole_0
& C != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t19_funct_2]) ).
fof(f_1219_2,plain,
! [U_3465,U_3464,U_3463,U_3462] :
( ! [U_3461] :
( ( m2_relset_1(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461),U_3465,U_3463)
& v1_funct_2(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461),U_3465,U_3463)
& v1_funct_1(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461)) )
| ( U_3465 != k1_xboole_0
& U_3463 != k1_xboole_0
& U_3464 = k1_xboole_0 )
| ~ m2_relset_1(U_3461,U_3464,U_3463)
| ~ v1_funct_2(U_3461,U_3464,U_3463)
| ~ v1_funct_1(U_3461) )
| ~ m2_relset_1(U_3462,U_3465,U_3464)
| ~ v1_funct_2(U_3462,U_3465,U_3464)
| ~ v1_funct_1(U_3462) ),
inference(variable_rename,[status(thm)],[f_1219_1]) ).
fof(f_1219_3,plain,
( ! [U_3461,U_3463,U_3462,U_3464,U_3465] :
( m2_relset_1(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461),U_3465,U_3463)
| ~ sP474(U_3461,U_3463,U_3462,U_3464,U_3465) )
& ! [U_3461,U_3463,U_3462,U_3464,U_3465] :
( v1_funct_2(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461),U_3465,U_3463)
| ~ sP474(U_3461,U_3463,U_3462,U_3464,U_3465) )
& ! [U_3461,U_3463,U_3462,U_3464,U_3465] :
( v1_funct_1(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461))
| ~ sP474(U_3461,U_3463,U_3462,U_3464,U_3465) )
& ! [U_3463,U_3464,U_3465] :
( U_3465 != k1_xboole_0
| ~ sP473(U_3463,U_3464,U_3465) )
& ! [U_3463,U_3464,U_3465] :
( U_3463 != k1_xboole_0
| ~ sP473(U_3463,U_3464,U_3465) )
& ! [U_3463,U_3464,U_3465] :
( U_3464 = k1_xboole_0
| ~ sP473(U_3463,U_3464,U_3465) )
& ! [U_3461,U_3463,U_3462,U_3464,U_3465] :
( sP474(U_3461,U_3463,U_3462,U_3464,U_3465)
| sP473(U_3463,U_3464,U_3465)
| ~ m2_relset_1(U_3461,U_3464,U_3463)
| ~ v1_funct_2(U_3461,U_3464,U_3463)
| ~ v1_funct_1(U_3461)
| ~ m2_relset_1(U_3462,U_3465,U_3464)
| ~ v1_funct_2(U_3462,U_3465,U_3464)
| ~ v1_funct_1(U_3462) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP473,sP474])],[f_1219_2]) ).
cnf(f_1219_4,plain,
( sP474(U_3461,U_3463,U_3462,U_3464,U_3465)
| sP473(U_3463,U_3464,U_3465)
| ~ m2_relset_1(U_3461,U_3464,U_3463)
| ~ v1_funct_2(U_3461,U_3464,U_3463)
| ~ v1_funct_1(U_3461)
| ~ m2_relset_1(U_3462,U_3465,U_3464)
| ~ v1_funct_2(U_3462,U_3465,U_3464)
| ~ v1_funct_1(U_3462) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
cnf(f_1219_5,plain,
( U_3464 = k1_xboole_0
| ~ sP473(U_3463,U_3464,U_3465) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
cnf(f_1219_6,plain,
( U_3463 != k1_xboole_0
| ~ sP473(U_3463,U_3464,U_3465) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
cnf(f_1219_7,plain,
( U_3465 != k1_xboole_0
| ~ sP473(U_3463,U_3464,U_3465) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
cnf(f_1219_8,plain,
( v1_funct_1(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461))
| ~ sP474(U_3461,U_3463,U_3462,U_3464,U_3465) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
cnf(f_1219_9,plain,
( v1_funct_2(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461),U_3465,U_3463)
| ~ sP474(U_3461,U_3463,U_3462,U_3464,U_3465) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
cnf(f_1219_10,plain,
( m2_relset_1(k1_partfun1(U_3465,U_3464,U_3464,U_3463,U_3462,U_3461),U_3465,U_3463)
| ~ sP474(U_3461,U_3463,U_3462,U_3464,U_3465) ),
inference(clausify,[status(thm)],[f_1219_3]) ).
fof(f_1220_1,plain,
! [A,B,C,D] :
( ! [E] :
( k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C
| C = k1_xboole_0
| B = k1_xboole_0
| k2_relat_1(E) != C
| k2_relat_1(D) != B
| ~ m2_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t20_funct_2]) ).
fof(f_1220_2,plain,
! [U_3470,U_3469,U_3468,U_3467] :
( ! [U_3466] :
( k2_relat_1(k1_partfun1(U_3470,U_3469,U_3469,U_3468,U_3467,U_3466)) = U_3468
| U_3468 = k1_xboole_0
| U_3469 = k1_xboole_0
| k2_relat_1(U_3466) != U_3468
| k2_relat_1(U_3467) != U_3469
| ~ m2_relset_1(U_3466,U_3469,U_3468)
| ~ v1_funct_2(U_3466,U_3469,U_3468)
| ~ v1_funct_1(U_3466) )
| ~ m2_relset_1(U_3467,U_3470,U_3469)
| ~ v1_funct_2(U_3467,U_3470,U_3469)
| ~ v1_funct_1(U_3467) ),
inference(variable_rename,[status(thm)],[f_1220_1]) ).
fof(f_1220_3,plain,
! [U_3469,U_3466,U_3467,U_3470,U_3468] :
( k2_relat_1(k1_partfun1(U_3470,U_3469,U_3469,U_3468,U_3467,U_3466)) = U_3468
| U_3468 = k1_xboole_0
| U_3469 = k1_xboole_0
| k2_relat_1(U_3466) != U_3468
| k2_relat_1(U_3467) != U_3469
| ~ m2_relset_1(U_3466,U_3469,U_3468)
| ~ v1_funct_2(U_3466,U_3469,U_3468)
| ~ v1_funct_1(U_3466)
| ~ m2_relset_1(U_3467,U_3470,U_3469)
| ~ v1_funct_2(U_3467,U_3470,U_3469)
| ~ v1_funct_1(U_3467) ),
inference(definitional_conversion,[status(esa)],[f_1220_2]) ).
cnf(f_1220_4,plain,
( k2_relat_1(k1_partfun1(U_3470,U_3469,U_3469,U_3468,U_3467,U_3466)) = U_3468
| U_3468 = k1_xboole_0
| U_3469 = k1_xboole_0
| k2_relat_1(U_3466) != U_3468
| k2_relat_1(U_3467) != U_3469
| ~ m2_relset_1(U_3466,U_3469,U_3468)
| ~ v1_funct_2(U_3466,U_3469,U_3468)
| ~ v1_funct_1(U_3466)
| ~ m2_relset_1(U_3467,U_3470,U_3469)
| ~ v1_funct_2(U_3467,U_3470,U_3469)
| ~ v1_funct_1(U_3467) ),
inference(clausify,[status(thm)],[f_1220_3]) ).
fof(f_1221_1,plain,
! [A,B,C,D] :
( ! [E] :
( k1_funct_1(k5_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C))
| B = k1_xboole_0
| ~ r2_hidden(C,A)
| ~ v1_funct_1(E)
| ~ v1_relat_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t21_funct_2]) ).
fof(f_1221_2,plain,
! [U_3475,U_3474,U_3473,U_3472] :
( ! [U_3471] :
( k1_funct_1(k5_relat_1(U_3472,U_3471),U_3473) = k1_funct_1(U_3471,k1_funct_1(U_3472,U_3473))
| U_3474 = k1_xboole_0
| ~ r2_hidden(U_3473,U_3475)
| ~ v1_funct_1(U_3471)
| ~ v1_relat_1(U_3471) )
| ~ m2_relset_1(U_3472,U_3475,U_3474)
| ~ v1_funct_2(U_3472,U_3475,U_3474)
| ~ v1_funct_1(U_3472) ),
inference(variable_rename,[status(thm)],[f_1221_1]) ).
fof(f_1221_3,plain,
! [U_3471,U_3474,U_3473,U_3475,U_3472] :
( k1_funct_1(k5_relat_1(U_3472,U_3471),U_3473) = k1_funct_1(U_3471,k1_funct_1(U_3472,U_3473))
| U_3474 = k1_xboole_0
| ~ r2_hidden(U_3473,U_3475)
| ~ v1_funct_1(U_3471)
| ~ v1_relat_1(U_3471)
| ~ m2_relset_1(U_3472,U_3475,U_3474)
| ~ v1_funct_2(U_3472,U_3475,U_3474)
| ~ v1_funct_1(U_3472) ),
inference(definitional_conversion,[status(esa)],[f_1221_2]) ).
cnf(f_1221_4,plain,
( k1_funct_1(k5_relat_1(U_3472,U_3471),U_3473) = k1_funct_1(U_3471,k1_funct_1(U_3472,U_3473))
| U_3474 = k1_xboole_0
| ~ r2_hidden(U_3473,U_3475)
| ~ v1_funct_1(U_3471)
| ~ v1_relat_1(U_3471)
| ~ m2_relset_1(U_3472,U_3475,U_3474)
| ~ v1_funct_2(U_3472,U_3475,U_3474)
| ~ v1_funct_1(U_3472) ),
inference(clausify,[status(thm)],[f_1221_3]) ).
fof(f_1222_1,plain,
! [A,B,C] :
( ( ( k2_relat_1(C) = B
| ? [D] :
( ? [E] :
( ? [F] :
( E != F
& k1_partfun1(A,B,B,D,C,E) = k1_partfun1(A,B,B,D,C,F)
& m2_relset_1(F,B,D)
& v1_funct_2(F,B,D)
& v1_funct_1(F) )
& m2_relset_1(E,B,D)
& v1_funct_2(E,B,D)
& v1_funct_1(E) )
& D != k1_xboole_0 ) )
& ( ! [D] :
( ! [E] :
( ! [F] :
( E = F
| k1_partfun1(A,B,B,D,C,E) != k1_partfun1(A,B,B,D,C,F)
| ~ m2_relset_1(F,B,D)
| ~ v1_funct_2(F,B,D)
| ~ v1_funct_1(F) )
| ~ m2_relset_1(E,B,D)
| ~ v1_funct_2(E,B,D)
| ~ v1_funct_1(E) )
| D = k1_xboole_0 )
| k2_relat_1(C) != B ) )
| B = k1_xboole_0
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t22_funct_2]) ).
fof(f_1222_2,plain,
! [U_3484,U_3483,U_3482] :
( ( ( k2_relat_1(U_3482) = U_3483
| ? [U_3481] :
( ? [U_3480] :
( ? [U_3479] :
( U_3480 != U_3479
& k1_partfun1(U_3484,U_3483,U_3483,U_3481,U_3482,U_3480) = k1_partfun1(U_3484,U_3483,U_3483,U_3481,U_3482,U_3479)
& m2_relset_1(U_3479,U_3483,U_3481)
& v1_funct_2(U_3479,U_3483,U_3481)
& v1_funct_1(U_3479) )
& m2_relset_1(U_3480,U_3483,U_3481)
& v1_funct_2(U_3480,U_3483,U_3481)
& v1_funct_1(U_3480) )
& U_3481 != k1_xboole_0 ) )
& ( ! [U_3478] :
( ! [U_3477] :
( ! [U_3476] :
( U_3477 = U_3476
| k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3477) != k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3476)
| ~ m2_relset_1(U_3476,U_3483,U_3478)
| ~ v1_funct_2(U_3476,U_3483,U_3478)
| ~ v1_funct_1(U_3476) )
| ~ m2_relset_1(U_3477,U_3483,U_3478)
| ~ v1_funct_2(U_3477,U_3483,U_3478)
| ~ v1_funct_1(U_3477) )
| U_3478 = k1_xboole_0 )
| k2_relat_1(U_3482) != U_3483 ) )
| U_3483 = k1_xboole_0
| ~ m2_relset_1(U_3482,U_3484,U_3483)
| ~ v1_funct_2(U_3482,U_3484,U_3483)
| ~ v1_funct_1(U_3482) ),
inference(variable_rename,[status(thm)],[f_1222_1]) ).
fof(f_1222_3,plain,
! [U_3484,U_3483,U_3482] :
( ( ( k2_relat_1(U_3482) = U_3483
| ( ? [U_3480] :
( ? [U_3479] :
( U_3480 != U_3479
& k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,U_3480) = k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,U_3479)
& m2_relset_1(U_3479,U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_2(U_3479,U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_1(U_3479) )
& m2_relset_1(U_3480,U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_2(U_3480,U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_1(U_3480) )
& sK318(U_3484,U_3483,U_3482) != k1_xboole_0 ) )
& ( ! [U_3478] :
( ! [U_3477] :
( ! [U_3476] :
( U_3477 = U_3476
| k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3477) != k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3476)
| ~ m2_relset_1(U_3476,U_3483,U_3478)
| ~ v1_funct_2(U_3476,U_3483,U_3478)
| ~ v1_funct_1(U_3476) )
| ~ m2_relset_1(U_3477,U_3483,U_3478)
| ~ v1_funct_2(U_3477,U_3483,U_3478)
| ~ v1_funct_1(U_3477) )
| U_3478 = k1_xboole_0 )
| k2_relat_1(U_3482) != U_3483 ) )
| U_3483 = k1_xboole_0
| ~ m2_relset_1(U_3482,U_3484,U_3483)
| ~ v1_funct_2(U_3482,U_3484,U_3483)
| ~ v1_funct_1(U_3482) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK318]),skolemize(U_3481,sK318(U_3484,U_3483,U_3482))],[f_1222_2]) ).
fof(f_1222_4,plain,
! [U_3484,U_3483,U_3482] :
( ( ( k2_relat_1(U_3482) = U_3483
| ( ? [U_3479] :
( sK319(U_3484,U_3483,U_3482) != U_3479
& k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK319(U_3484,U_3483,U_3482)) = k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,U_3479)
& m2_relset_1(U_3479,U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_2(U_3479,U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_1(U_3479) )
& m2_relset_1(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_2(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_1(sK319(U_3484,U_3483,U_3482))
& sK318(U_3484,U_3483,U_3482) != k1_xboole_0 ) )
& ( ! [U_3478] :
( ! [U_3477] :
( ! [U_3476] :
( U_3477 = U_3476
| k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3477) != k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3476)
| ~ m2_relset_1(U_3476,U_3483,U_3478)
| ~ v1_funct_2(U_3476,U_3483,U_3478)
| ~ v1_funct_1(U_3476) )
| ~ m2_relset_1(U_3477,U_3483,U_3478)
| ~ v1_funct_2(U_3477,U_3483,U_3478)
| ~ v1_funct_1(U_3477) )
| U_3478 = k1_xboole_0 )
| k2_relat_1(U_3482) != U_3483 ) )
| U_3483 = k1_xboole_0
| ~ m2_relset_1(U_3482,U_3484,U_3483)
| ~ v1_funct_2(U_3482,U_3484,U_3483)
| ~ v1_funct_1(U_3482) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK319]),skolemize(U_3480,sK319(U_3484,U_3483,U_3482))],[f_1222_3]) ).
fof(f_1222_5,plain,
! [U_3484,U_3483,U_3482] :
( ( ( k2_relat_1(U_3482) = U_3483
| ( sK319(U_3484,U_3483,U_3482) != sK320(U_3484,U_3483,U_3482)
& k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK319(U_3484,U_3483,U_3482)) = k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK320(U_3484,U_3483,U_3482))
& m2_relset_1(sK320(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_2(sK320(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_1(sK320(U_3484,U_3483,U_3482))
& m2_relset_1(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_2(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
& v1_funct_1(sK319(U_3484,U_3483,U_3482))
& sK318(U_3484,U_3483,U_3482) != k1_xboole_0 ) )
& ( ! [U_3478] :
( ! [U_3477] :
( ! [U_3476] :
( U_3477 = U_3476
| k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3477) != k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3476)
| ~ m2_relset_1(U_3476,U_3483,U_3478)
| ~ v1_funct_2(U_3476,U_3483,U_3478)
| ~ v1_funct_1(U_3476) )
| ~ m2_relset_1(U_3477,U_3483,U_3478)
| ~ v1_funct_2(U_3477,U_3483,U_3478)
| ~ v1_funct_1(U_3477) )
| U_3478 = k1_xboole_0 )
| k2_relat_1(U_3482) != U_3483 ) )
| U_3483 = k1_xboole_0
| ~ m2_relset_1(U_3482,U_3484,U_3483)
| ~ v1_funct_2(U_3482,U_3484,U_3483)
| ~ v1_funct_1(U_3482) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK320]),skolemize(U_3479,sK320(U_3484,U_3483,U_3482))],[f_1222_4]) ).
fof(f_1222_6,plain,
( ! [U_3482,U_3483,U_3484] :
( sK319(U_3484,U_3483,U_3482) != sK320(U_3484,U_3483,U_3482)
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK319(U_3484,U_3483,U_3482)) = k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK320(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( m2_relset_1(sK320(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( v1_funct_2(sK320(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( v1_funct_1(sK320(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( m2_relset_1(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( v1_funct_2(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( v1_funct_1(sK319(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3483,U_3484] :
( sK318(U_3484,U_3483,U_3482) != k1_xboole_0
| ~ sP475(U_3482,U_3483,U_3484) )
& ! [U_3482,U_3477,U_3476,U_3478,U_3483,U_3484] :
( k2_relat_1(U_3482) = U_3483
| sP475(U_3482,U_3483,U_3484)
| ~ sP476(U_3482,U_3477,U_3476,U_3478,U_3483,U_3484) )
& ! [U_3482,U_3477,U_3476,U_3478,U_3483,U_3484] :
( U_3477 = U_3476
| k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3477) != k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3476)
| ~ m2_relset_1(U_3476,U_3483,U_3478)
| ~ v1_funct_2(U_3476,U_3483,U_3478)
| ~ v1_funct_1(U_3476)
| ~ m2_relset_1(U_3477,U_3483,U_3478)
| ~ v1_funct_2(U_3477,U_3483,U_3478)
| ~ v1_funct_1(U_3477)
| U_3478 = k1_xboole_0
| k2_relat_1(U_3482) != U_3483
| ~ sP476(U_3482,U_3477,U_3476,U_3478,U_3483,U_3484) )
& ! [U_3482,U_3477,U_3476,U_3478,U_3483,U_3484] :
( sP476(U_3482,U_3477,U_3476,U_3478,U_3483,U_3484)
| U_3483 = k1_xboole_0
| ~ m2_relset_1(U_3482,U_3484,U_3483)
| ~ v1_funct_2(U_3482,U_3484,U_3483)
| ~ v1_funct_1(U_3482) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP475,sP476])],[f_1222_5]) ).
cnf(f_1222_7,plain,
( sP476(U_3482,U_3477,U_3476,U_3478,U_3483,U_3484)
| U_3483 = k1_xboole_0
| ~ m2_relset_1(U_3482,U_3484,U_3483)
| ~ v1_funct_2(U_3482,U_3484,U_3483)
| ~ v1_funct_1(U_3482) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_8,plain,
( U_3477 = U_3476
| k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3477) != k1_partfun1(U_3484,U_3483,U_3483,U_3478,U_3482,U_3476)
| ~ m2_relset_1(U_3476,U_3483,U_3478)
| ~ v1_funct_2(U_3476,U_3483,U_3478)
| ~ v1_funct_1(U_3476)
| ~ m2_relset_1(U_3477,U_3483,U_3478)
| ~ v1_funct_2(U_3477,U_3483,U_3478)
| ~ v1_funct_1(U_3477)
| U_3478 = k1_xboole_0
| k2_relat_1(U_3482) != U_3483
| ~ sP476(U_3482,U_3477,U_3476,U_3478,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_9,plain,
( k2_relat_1(U_3482) = U_3483
| sP475(U_3482,U_3483,U_3484)
| ~ sP476(U_3482,U_3477,U_3476,U_3478,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_10,plain,
( sK318(U_3484,U_3483,U_3482) != k1_xboole_0
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_11,plain,
( v1_funct_1(sK319(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_12,plain,
( v1_funct_2(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_13,plain,
( m2_relset_1(sK319(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_14,plain,
( v1_funct_1(sK320(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_15,plain,
( v1_funct_2(sK320(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_16,plain,
( m2_relset_1(sK320(U_3484,U_3483,U_3482),U_3483,sK318(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_17,plain,
( k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK319(U_3484,U_3483,U_3482)) = k1_partfun1(U_3484,U_3483,U_3483,sK318(U_3484,U_3483,U_3482),U_3482,sK320(U_3484,U_3483,U_3482))
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
cnf(f_1222_18,plain,
( sK319(U_3484,U_3483,U_3482) != sK320(U_3484,U_3483,U_3482)
| ~ sP475(U_3482,U_3483,U_3484) ),
inference(clausify,[status(thm)],[f_1222_6]) ).
fof(f_1223_1,plain,
! [A,B,C] :
( ( k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C
& k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C )
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[t23_funct_2]) ).
fof(f_1223_2,plain,
! [U_3487,U_3486,U_3485] :
( ( k7_relset_1(U_3487,U_3486,U_3486,U_3486,U_3485,k6_partfun1(U_3486)) = U_3485
& k7_relset_1(U_3487,U_3487,U_3487,U_3486,k6_partfun1(U_3487),U_3485) = U_3485 )
| ~ m2_relset_1(U_3485,U_3487,U_3486) ),
inference(variable_rename,[status(thm)],[f_1223_1]) ).
fof(f_1223_3,plain,
( ! [U_3485,U_3486,U_3487] :
( k7_relset_1(U_3487,U_3486,U_3486,U_3486,U_3485,k6_partfun1(U_3486)) = U_3485
| ~ sP477(U_3485,U_3486,U_3487) )
& ! [U_3485,U_3486,U_3487] :
( k7_relset_1(U_3487,U_3487,U_3487,U_3486,k6_partfun1(U_3487),U_3485) = U_3485
| ~ sP477(U_3485,U_3486,U_3487) )
& ! [U_3485,U_3486,U_3487] :
( sP477(U_3485,U_3486,U_3487)
| ~ m2_relset_1(U_3485,U_3487,U_3486) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP477])],[f_1223_2]) ).
cnf(f_1223_4,plain,
( sP477(U_3485,U_3486,U_3487)
| ~ m2_relset_1(U_3485,U_3487,U_3486) ),
inference(clausify,[status(thm)],[f_1223_3]) ).
cnf(f_1223_5,plain,
( k7_relset_1(U_3487,U_3487,U_3487,U_3486,k6_partfun1(U_3487),U_3485) = U_3485
| ~ sP477(U_3485,U_3486,U_3487) ),
inference(clausify,[status(thm)],[f_1223_3]) ).
cnf(f_1223_6,plain,
( k7_relset_1(U_3487,U_3486,U_3486,U_3486,U_3485,k6_partfun1(U_3486)) = U_3485
| ~ sP477(U_3485,U_3486,U_3487) ),
inference(clausify,[status(thm)],[f_1223_3]) ).
fof(f_1224_1,plain,
! [A,B,C] :
( ! [D] :
( k2_relat_1(C) = B
| k1_partfun1(B,A,A,B,D,C) != k6_partfun1(B)
| ~ m2_relset_1(D,B,A)
| ~ v1_funct_2(D,B,A)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t24_funct_2]) ).
fof(f_1224_2,plain,
! [U_3491,U_3490,U_3489] :
( ! [U_3488] :
( k2_relat_1(U_3489) = U_3490
| k1_partfun1(U_3490,U_3491,U_3491,U_3490,U_3488,U_3489) != k6_partfun1(U_3490)
| ~ m2_relset_1(U_3488,U_3490,U_3491)
| ~ v1_funct_2(U_3488,U_3490,U_3491)
| ~ v1_funct_1(U_3488) )
| ~ m2_relset_1(U_3489,U_3491,U_3490)
| ~ v1_funct_2(U_3489,U_3491,U_3490)
| ~ v1_funct_1(U_3489) ),
inference(variable_rename,[status(thm)],[f_1224_1]) ).
fof(f_1224_3,plain,
! [U_3489,U_3488,U_3490,U_3491] :
( k2_relat_1(U_3489) = U_3490
| k1_partfun1(U_3490,U_3491,U_3491,U_3490,U_3488,U_3489) != k6_partfun1(U_3490)
| ~ m2_relset_1(U_3488,U_3490,U_3491)
| ~ v1_funct_2(U_3488,U_3490,U_3491)
| ~ v1_funct_1(U_3488)
| ~ m2_relset_1(U_3489,U_3491,U_3490)
| ~ v1_funct_2(U_3489,U_3491,U_3490)
| ~ v1_funct_1(U_3489) ),
inference(definitional_conversion,[status(esa)],[f_1224_2]) ).
cnf(f_1224_4,plain,
( k2_relat_1(U_3489) = U_3490
| k1_partfun1(U_3490,U_3491,U_3491,U_3490,U_3488,U_3489) != k6_partfun1(U_3490)
| ~ m2_relset_1(U_3488,U_3490,U_3491)
| ~ v1_funct_2(U_3488,U_3490,U_3491)
| ~ v1_funct_1(U_3488)
| ~ m2_relset_1(U_3489,U_3491,U_3490)
| ~ v1_funct_2(U_3489,U_3491,U_3490)
| ~ v1_funct_1(U_3489) ),
inference(clausify,[status(thm)],[f_1224_3]) ).
fof(f_1225_1,plain,
! [A,B,C] :
( ( ( v2_funct_1(C)
| ? [D,E] :
( D != E
& k1_funct_1(C,D) = k1_funct_1(C,E)
& r2_hidden(E,A)
& r2_hidden(D,A) ) )
& ( ! [D,E] :
( D = E
| k1_funct_1(C,D) != k1_funct_1(C,E)
| ~ r2_hidden(E,A)
| ~ r2_hidden(D,A) )
| ~ v2_funct_1(C) ) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t25_funct_2]) ).
fof(f_1225_2,plain,
! [U_3498,U_3497,U_3496] :
( ( ( v2_funct_1(U_3496)
| ? [U_3495,U_3494] :
( U_3495 != U_3494
& k1_funct_1(U_3496,U_3495) = k1_funct_1(U_3496,U_3494)
& r2_hidden(U_3494,U_3498)
& r2_hidden(U_3495,U_3498) ) )
& ( ! [U_3493,U_3492] :
( U_3493 = U_3492
| k1_funct_1(U_3496,U_3493) != k1_funct_1(U_3496,U_3492)
| ~ r2_hidden(U_3492,U_3498)
| ~ r2_hidden(U_3493,U_3498) )
| ~ v2_funct_1(U_3496) ) )
| ( U_3498 != k1_xboole_0
& U_3497 = k1_xboole_0 )
| ~ m2_relset_1(U_3496,U_3498,U_3497)
| ~ v1_funct_2(U_3496,U_3498,U_3497)
| ~ v1_funct_1(U_3496) ),
inference(variable_rename,[status(thm)],[f_1225_1]) ).
fof(f_1225_3,plain,
! [U_3498,U_3497,U_3496] :
( ( ( v2_funct_1(U_3496)
| ? [U_3494] :
( sK321(U_3498,U_3497,U_3496) != U_3494
& k1_funct_1(U_3496,sK321(U_3498,U_3497,U_3496)) = k1_funct_1(U_3496,U_3494)
& r2_hidden(U_3494,U_3498)
& r2_hidden(sK321(U_3498,U_3497,U_3496),U_3498) ) )
& ( ! [U_3493,U_3492] :
( U_3493 = U_3492
| k1_funct_1(U_3496,U_3493) != k1_funct_1(U_3496,U_3492)
| ~ r2_hidden(U_3492,U_3498)
| ~ r2_hidden(U_3493,U_3498) )
| ~ v2_funct_1(U_3496) ) )
| ( U_3498 != k1_xboole_0
& U_3497 = k1_xboole_0 )
| ~ m2_relset_1(U_3496,U_3498,U_3497)
| ~ v1_funct_2(U_3496,U_3498,U_3497)
| ~ v1_funct_1(U_3496) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK321]),skolemize(U_3495,sK321(U_3498,U_3497,U_3496))],[f_1225_2]) ).
fof(f_1225_4,plain,
! [U_3498,U_3497,U_3496] :
( ( ( v2_funct_1(U_3496)
| ( sK321(U_3498,U_3497,U_3496) != sK322(U_3498,U_3497,U_3496)
& k1_funct_1(U_3496,sK321(U_3498,U_3497,U_3496)) = k1_funct_1(U_3496,sK322(U_3498,U_3497,U_3496))
& r2_hidden(sK322(U_3498,U_3497,U_3496),U_3498)
& r2_hidden(sK321(U_3498,U_3497,U_3496),U_3498) ) )
& ( ! [U_3493,U_3492] :
( U_3493 = U_3492
| k1_funct_1(U_3496,U_3493) != k1_funct_1(U_3496,U_3492)
| ~ r2_hidden(U_3492,U_3498)
| ~ r2_hidden(U_3493,U_3498) )
| ~ v2_funct_1(U_3496) ) )
| ( U_3498 != k1_xboole_0
& U_3497 = k1_xboole_0 )
| ~ m2_relset_1(U_3496,U_3498,U_3497)
| ~ v1_funct_2(U_3496,U_3498,U_3497)
| ~ v1_funct_1(U_3496) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK322]),skolemize(U_3494,sK322(U_3498,U_3497,U_3496))],[f_1225_3]) ).
fof(f_1225_5,plain,
( ! [U_3496,U_3497,U_3498] :
( sK321(U_3498,U_3497,U_3496) != sK322(U_3498,U_3497,U_3496)
| ~ sP479(U_3496,U_3497,U_3498) )
& ! [U_3496,U_3497,U_3498] :
( k1_funct_1(U_3496,sK321(U_3498,U_3497,U_3496)) = k1_funct_1(U_3496,sK322(U_3498,U_3497,U_3496))
| ~ sP479(U_3496,U_3497,U_3498) )
& ! [U_3496,U_3497,U_3498] :
( r2_hidden(sK322(U_3498,U_3497,U_3496),U_3498)
| ~ sP479(U_3496,U_3497,U_3498) )
& ! [U_3496,U_3497,U_3498] :
( r2_hidden(sK321(U_3498,U_3497,U_3496),U_3498)
| ~ sP479(U_3496,U_3497,U_3498) )
& ! [U_3493,U_3492,U_3496,U_3497,U_3498] :
( v2_funct_1(U_3496)
| sP479(U_3496,U_3497,U_3498)
| ~ sP480(U_3493,U_3492,U_3496,U_3497,U_3498) )
& ! [U_3493,U_3492,U_3496,U_3497,U_3498] :
( U_3493 = U_3492
| k1_funct_1(U_3496,U_3493) != k1_funct_1(U_3496,U_3492)
| ~ r2_hidden(U_3492,U_3498)
| ~ r2_hidden(U_3493,U_3498)
| ~ v2_funct_1(U_3496)
| ~ sP480(U_3493,U_3492,U_3496,U_3497,U_3498) )
& ! [U_3497,U_3498] :
( U_3498 != k1_xboole_0
| ~ sP478(U_3497,U_3498) )
& ! [U_3497,U_3498] :
( U_3497 = k1_xboole_0
| ~ sP478(U_3497,U_3498) )
& ! [U_3493,U_3492,U_3496,U_3497,U_3498] :
( sP480(U_3493,U_3492,U_3496,U_3497,U_3498)
| sP478(U_3497,U_3498)
| ~ m2_relset_1(U_3496,U_3498,U_3497)
| ~ v1_funct_2(U_3496,U_3498,U_3497)
| ~ v1_funct_1(U_3496) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP478,sP479,sP480])],[f_1225_4]) ).
cnf(f_1225_6,plain,
( sP480(U_3493,U_3492,U_3496,U_3497,U_3498)
| sP478(U_3497,U_3498)
| ~ m2_relset_1(U_3496,U_3498,U_3497)
| ~ v1_funct_2(U_3496,U_3498,U_3497)
| ~ v1_funct_1(U_3496) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_7,plain,
( U_3497 = k1_xboole_0
| ~ sP478(U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_8,plain,
( U_3498 != k1_xboole_0
| ~ sP478(U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_9,plain,
( U_3493 = U_3492
| k1_funct_1(U_3496,U_3493) != k1_funct_1(U_3496,U_3492)
| ~ r2_hidden(U_3492,U_3498)
| ~ r2_hidden(U_3493,U_3498)
| ~ v2_funct_1(U_3496)
| ~ sP480(U_3493,U_3492,U_3496,U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_10,plain,
( v2_funct_1(U_3496)
| sP479(U_3496,U_3497,U_3498)
| ~ sP480(U_3493,U_3492,U_3496,U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_11,plain,
( r2_hidden(sK321(U_3498,U_3497,U_3496),U_3498)
| ~ sP479(U_3496,U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_12,plain,
( r2_hidden(sK322(U_3498,U_3497,U_3496),U_3498)
| ~ sP479(U_3496,U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_13,plain,
( k1_funct_1(U_3496,sK321(U_3498,U_3497,U_3496)) = k1_funct_1(U_3496,sK322(U_3498,U_3497,U_3496))
| ~ sP479(U_3496,U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
cnf(f_1225_14,plain,
( sK321(U_3498,U_3497,U_3496) != sK322(U_3498,U_3497,U_3496)
| ~ sP479(U_3496,U_3497,U_3498) ),
inference(clausify,[status(thm)],[f_1225_5]) ).
fof(f_1226_1,plain,
! [A,B,C,D] :
( ! [E] :
( v2_funct_1(D)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ( B != k1_xboole_0
& C = k1_xboole_0 )
| ~ v2_funct_1(k1_partfun1(A,B,B,C,D,E))
| ~ m2_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t26_funct_2]) ).
fof(f_1226_2,plain,
! [U_3503,U_3502,U_3501,U_3500] :
( ! [U_3499] :
( v2_funct_1(U_3500)
| ( U_3503 != k1_xboole_0
& U_3502 = k1_xboole_0 )
| ( U_3502 != k1_xboole_0
& U_3501 = k1_xboole_0 )
| ~ v2_funct_1(k1_partfun1(U_3503,U_3502,U_3502,U_3501,U_3500,U_3499))
| ~ m2_relset_1(U_3499,U_3502,U_3501)
| ~ v1_funct_2(U_3499,U_3502,U_3501)
| ~ v1_funct_1(U_3499) )
| ~ m2_relset_1(U_3500,U_3503,U_3502)
| ~ v1_funct_2(U_3500,U_3503,U_3502)
| ~ v1_funct_1(U_3500) ),
inference(variable_rename,[status(thm)],[f_1226_1]) ).
fof(f_1226_3,plain,
( ! [U_3502,U_3503] :
( U_3503 != k1_xboole_0
| ~ sP482(U_3502,U_3503) )
& ! [U_3502,U_3503] :
( U_3502 = k1_xboole_0
| ~ sP482(U_3502,U_3503) )
& ! [U_3502,U_3501] :
( U_3502 != k1_xboole_0
| ~ sP481(U_3502,U_3501) )
& ! [U_3502,U_3501] :
( U_3501 = k1_xboole_0
| ~ sP481(U_3502,U_3501) )
& ! [U_3499,U_3502,U_3503,U_3500,U_3501] :
( v2_funct_1(U_3500)
| sP482(U_3502,U_3503)
| sP481(U_3502,U_3501)
| ~ v2_funct_1(k1_partfun1(U_3503,U_3502,U_3502,U_3501,U_3500,U_3499))
| ~ m2_relset_1(U_3499,U_3502,U_3501)
| ~ v1_funct_2(U_3499,U_3502,U_3501)
| ~ v1_funct_1(U_3499)
| ~ m2_relset_1(U_3500,U_3503,U_3502)
| ~ v1_funct_2(U_3500,U_3503,U_3502)
| ~ v1_funct_1(U_3500) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP481,sP482])],[f_1226_2]) ).
cnf(f_1226_4,plain,
( v2_funct_1(U_3500)
| sP482(U_3502,U_3503)
| sP481(U_3502,U_3501)
| ~ v2_funct_1(k1_partfun1(U_3503,U_3502,U_3502,U_3501,U_3500,U_3499))
| ~ m2_relset_1(U_3499,U_3502,U_3501)
| ~ v1_funct_2(U_3499,U_3502,U_3501)
| ~ v1_funct_1(U_3499)
| ~ m2_relset_1(U_3500,U_3503,U_3502)
| ~ v1_funct_2(U_3500,U_3503,U_3502)
| ~ v1_funct_1(U_3500) ),
inference(clausify,[status(thm)],[f_1226_3]) ).
cnf(f_1226_5,plain,
( U_3501 = k1_xboole_0
| ~ sP481(U_3502,U_3501) ),
inference(clausify,[status(thm)],[f_1226_3]) ).
cnf(f_1226_6,plain,
( U_3502 != k1_xboole_0
| ~ sP481(U_3502,U_3501) ),
inference(clausify,[status(thm)],[f_1226_3]) ).
cnf(f_1226_7,plain,
( U_3502 = k1_xboole_0
| ~ sP482(U_3502,U_3503) ),
inference(clausify,[status(thm)],[f_1226_3]) ).
cnf(f_1226_8,plain,
( U_3503 != k1_xboole_0
| ~ sP482(U_3502,U_3503) ),
inference(clausify,[status(thm)],[f_1226_3]) ).
fof(f_1227_1,plain,
! [A,B,C] :
( ( ( v2_funct_1(C)
| ? [D,E] :
( ? [F] :
( E != F
& k1_partfun1(D,A,A,B,E,C) = k1_partfun1(D,A,A,B,F,C)
& m2_relset_1(F,D,A)
& v1_funct_2(F,D,A)
& v1_funct_1(F) )
& m2_relset_1(E,D,A)
& v1_funct_2(E,D,A)
& v1_funct_1(E) ) )
& ( ! [D,E] :
( ! [F] :
( E = F
| k1_partfun1(D,A,A,B,E,C) != k1_partfun1(D,A,A,B,F,C)
| ~ m2_relset_1(F,D,A)
| ~ v1_funct_2(F,D,A)
| ~ v1_funct_1(F) )
| ~ m2_relset_1(E,D,A)
| ~ v1_funct_2(E,D,A)
| ~ v1_funct_1(E) )
| ~ v2_funct_1(C) ) )
| B = k1_xboole_0
| A = k1_xboole_0
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t27_funct_2]) ).
fof(f_1227_2,plain,
! [U_3512,U_3511,U_3510] :
( ( ( v2_funct_1(U_3510)
| ? [U_3509,U_3508] :
( ? [U_3507] :
( U_3508 != U_3507
& k1_partfun1(U_3509,U_3512,U_3512,U_3511,U_3508,U_3510) = k1_partfun1(U_3509,U_3512,U_3512,U_3511,U_3507,U_3510)
& m2_relset_1(U_3507,U_3509,U_3512)
& v1_funct_2(U_3507,U_3509,U_3512)
& v1_funct_1(U_3507) )
& m2_relset_1(U_3508,U_3509,U_3512)
& v1_funct_2(U_3508,U_3509,U_3512)
& v1_funct_1(U_3508) ) )
& ( ! [U_3506,U_3505] :
( ! [U_3504] :
( U_3505 = U_3504
| k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3505,U_3510) != k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3504,U_3510)
| ~ m2_relset_1(U_3504,U_3506,U_3512)
| ~ v1_funct_2(U_3504,U_3506,U_3512)
| ~ v1_funct_1(U_3504) )
| ~ m2_relset_1(U_3505,U_3506,U_3512)
| ~ v1_funct_2(U_3505,U_3506,U_3512)
| ~ v1_funct_1(U_3505) )
| ~ v2_funct_1(U_3510) ) )
| U_3511 = k1_xboole_0
| U_3512 = k1_xboole_0
| ~ m2_relset_1(U_3510,U_3512,U_3511)
| ~ v1_funct_2(U_3510,U_3512,U_3511)
| ~ v1_funct_1(U_3510) ),
inference(variable_rename,[status(thm)],[f_1227_1]) ).
fof(f_1227_3,plain,
! [U_3512,U_3511,U_3510] :
( ( ( v2_funct_1(U_3510)
| ? [U_3508] :
( ? [U_3507] :
( U_3508 != U_3507
& k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,U_3508,U_3510) = k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,U_3507,U_3510)
& m2_relset_1(U_3507,sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_2(U_3507,sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_1(U_3507) )
& m2_relset_1(U_3508,sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_2(U_3508,sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_1(U_3508) ) )
& ( ! [U_3506,U_3505] :
( ! [U_3504] :
( U_3505 = U_3504
| k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3505,U_3510) != k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3504,U_3510)
| ~ m2_relset_1(U_3504,U_3506,U_3512)
| ~ v1_funct_2(U_3504,U_3506,U_3512)
| ~ v1_funct_1(U_3504) )
| ~ m2_relset_1(U_3505,U_3506,U_3512)
| ~ v1_funct_2(U_3505,U_3506,U_3512)
| ~ v1_funct_1(U_3505) )
| ~ v2_funct_1(U_3510) ) )
| U_3511 = k1_xboole_0
| U_3512 = k1_xboole_0
| ~ m2_relset_1(U_3510,U_3512,U_3511)
| ~ v1_funct_2(U_3510,U_3512,U_3511)
| ~ v1_funct_1(U_3510) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK323]),skolemize(U_3509,sK323(U_3512,U_3511,U_3510))],[f_1227_2]) ).
fof(f_1227_4,plain,
! [U_3512,U_3511,U_3510] :
( ( ( v2_funct_1(U_3510)
| ( ? [U_3507] :
( sK324(U_3512,U_3511,U_3510) != U_3507
& k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK324(U_3512,U_3511,U_3510),U_3510) = k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,U_3507,U_3510)
& m2_relset_1(U_3507,sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_2(U_3507,sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_1(U_3507) )
& m2_relset_1(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_2(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_1(sK324(U_3512,U_3511,U_3510)) ) )
& ( ! [U_3506,U_3505] :
( ! [U_3504] :
( U_3505 = U_3504
| k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3505,U_3510) != k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3504,U_3510)
| ~ m2_relset_1(U_3504,U_3506,U_3512)
| ~ v1_funct_2(U_3504,U_3506,U_3512)
| ~ v1_funct_1(U_3504) )
| ~ m2_relset_1(U_3505,U_3506,U_3512)
| ~ v1_funct_2(U_3505,U_3506,U_3512)
| ~ v1_funct_1(U_3505) )
| ~ v2_funct_1(U_3510) ) )
| U_3511 = k1_xboole_0
| U_3512 = k1_xboole_0
| ~ m2_relset_1(U_3510,U_3512,U_3511)
| ~ v1_funct_2(U_3510,U_3512,U_3511)
| ~ v1_funct_1(U_3510) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK324]),skolemize(U_3508,sK324(U_3512,U_3511,U_3510))],[f_1227_3]) ).
fof(f_1227_5,plain,
! [U_3512,U_3511,U_3510] :
( ( ( v2_funct_1(U_3510)
| ( sK324(U_3512,U_3511,U_3510) != sK325(U_3512,U_3511,U_3510)
& k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK324(U_3512,U_3511,U_3510),U_3510) = k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK325(U_3512,U_3511,U_3510),U_3510)
& m2_relset_1(sK325(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_2(sK325(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_1(sK325(U_3512,U_3511,U_3510))
& m2_relset_1(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_2(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
& v1_funct_1(sK324(U_3512,U_3511,U_3510)) ) )
& ( ! [U_3506,U_3505] :
( ! [U_3504] :
( U_3505 = U_3504
| k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3505,U_3510) != k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3504,U_3510)
| ~ m2_relset_1(U_3504,U_3506,U_3512)
| ~ v1_funct_2(U_3504,U_3506,U_3512)
| ~ v1_funct_1(U_3504) )
| ~ m2_relset_1(U_3505,U_3506,U_3512)
| ~ v1_funct_2(U_3505,U_3506,U_3512)
| ~ v1_funct_1(U_3505) )
| ~ v2_funct_1(U_3510) ) )
| U_3511 = k1_xboole_0
| U_3512 = k1_xboole_0
| ~ m2_relset_1(U_3510,U_3512,U_3511)
| ~ v1_funct_2(U_3510,U_3512,U_3511)
| ~ v1_funct_1(U_3510) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK325]),skolemize(U_3507,sK325(U_3512,U_3511,U_3510))],[f_1227_4]) ).
fof(f_1227_6,plain,
( ! [U_3511,U_3512,U_3510] :
( sK324(U_3512,U_3511,U_3510) != sK325(U_3512,U_3511,U_3510)
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK324(U_3512,U_3511,U_3510),U_3510) = k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK325(U_3512,U_3511,U_3510),U_3510)
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( m2_relset_1(sK325(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( v1_funct_2(sK325(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( v1_funct_1(sK325(U_3512,U_3511,U_3510))
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( m2_relset_1(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( v1_funct_2(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3510] :
( v1_funct_1(sK324(U_3512,U_3511,U_3510))
| ~ sP483(U_3511,U_3512,U_3510) )
& ! [U_3511,U_3512,U_3506,U_3504,U_3510,U_3505] :
( v2_funct_1(U_3510)
| sP483(U_3511,U_3512,U_3510)
| ~ sP484(U_3511,U_3512,U_3506,U_3504,U_3510,U_3505) )
& ! [U_3511,U_3512,U_3506,U_3504,U_3510,U_3505] :
( U_3505 = U_3504
| k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3505,U_3510) != k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3504,U_3510)
| ~ m2_relset_1(U_3504,U_3506,U_3512)
| ~ v1_funct_2(U_3504,U_3506,U_3512)
| ~ v1_funct_1(U_3504)
| ~ m2_relset_1(U_3505,U_3506,U_3512)
| ~ v1_funct_2(U_3505,U_3506,U_3512)
| ~ v1_funct_1(U_3505)
| ~ v2_funct_1(U_3510)
| ~ sP484(U_3511,U_3512,U_3506,U_3504,U_3510,U_3505) )
& ! [U_3511,U_3512,U_3506,U_3504,U_3510,U_3505] :
( sP484(U_3511,U_3512,U_3506,U_3504,U_3510,U_3505)
| U_3511 = k1_xboole_0
| U_3512 = k1_xboole_0
| ~ m2_relset_1(U_3510,U_3512,U_3511)
| ~ v1_funct_2(U_3510,U_3512,U_3511)
| ~ v1_funct_1(U_3510) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP483,sP484])],[f_1227_5]) ).
cnf(f_1227_7,plain,
( sP484(U_3511,U_3512,U_3506,U_3504,U_3510,U_3505)
| U_3511 = k1_xboole_0
| U_3512 = k1_xboole_0
| ~ m2_relset_1(U_3510,U_3512,U_3511)
| ~ v1_funct_2(U_3510,U_3512,U_3511)
| ~ v1_funct_1(U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_8,plain,
( U_3505 = U_3504
| k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3505,U_3510) != k1_partfun1(U_3506,U_3512,U_3512,U_3511,U_3504,U_3510)
| ~ m2_relset_1(U_3504,U_3506,U_3512)
| ~ v1_funct_2(U_3504,U_3506,U_3512)
| ~ v1_funct_1(U_3504)
| ~ m2_relset_1(U_3505,U_3506,U_3512)
| ~ v1_funct_2(U_3505,U_3506,U_3512)
| ~ v1_funct_1(U_3505)
| ~ v2_funct_1(U_3510)
| ~ sP484(U_3511,U_3512,U_3506,U_3504,U_3510,U_3505) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_9,plain,
( v2_funct_1(U_3510)
| sP483(U_3511,U_3512,U_3510)
| ~ sP484(U_3511,U_3512,U_3506,U_3504,U_3510,U_3505) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_10,plain,
( v1_funct_1(sK324(U_3512,U_3511,U_3510))
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_11,plain,
( v1_funct_2(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_12,plain,
( m2_relset_1(sK324(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_13,plain,
( v1_funct_1(sK325(U_3512,U_3511,U_3510))
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_14,plain,
( v1_funct_2(sK325(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_15,plain,
( m2_relset_1(sK325(U_3512,U_3511,U_3510),sK323(U_3512,U_3511,U_3510),U_3512)
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_16,plain,
( k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK324(U_3512,U_3511,U_3510),U_3510) = k1_partfun1(sK323(U_3512,U_3511,U_3510),U_3512,U_3512,U_3511,sK325(U_3512,U_3511,U_3510),U_3510)
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
cnf(f_1227_17,plain,
( sK324(U_3512,U_3511,U_3510) != sK325(U_3512,U_3511,U_3510)
| ~ sP483(U_3511,U_3512,U_3510) ),
inference(clausify,[status(thm)],[f_1227_6]) ).
fof(f_1228_1,plain,
! [A,B,C,D] :
( ! [E] :
( k2_relat_1(D) = B
| C = k1_xboole_0
| ~ v2_funct_1(E)
| k2_relat_1(k1_partfun1(A,B,B,C,D,E)) != C
| ~ m2_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t28_funct_2]) ).
fof(f_1228_2,plain,
! [U_3517,U_3516,U_3515,U_3514] :
( ! [U_3513] :
( k2_relat_1(U_3514) = U_3516
| U_3515 = k1_xboole_0
| ~ v2_funct_1(U_3513)
| k2_relat_1(k1_partfun1(U_3517,U_3516,U_3516,U_3515,U_3514,U_3513)) != U_3515
| ~ m2_relset_1(U_3513,U_3516,U_3515)
| ~ v1_funct_2(U_3513,U_3516,U_3515)
| ~ v1_funct_1(U_3513) )
| ~ m2_relset_1(U_3514,U_3517,U_3516)
| ~ v1_funct_2(U_3514,U_3517,U_3516)
| ~ v1_funct_1(U_3514) ),
inference(variable_rename,[status(thm)],[f_1228_1]) ).
fof(f_1228_3,plain,
! [U_3516,U_3514,U_3513,U_3515,U_3517] :
( k2_relat_1(U_3514) = U_3516
| U_3515 = k1_xboole_0
| ~ v2_funct_1(U_3513)
| k2_relat_1(k1_partfun1(U_3517,U_3516,U_3516,U_3515,U_3514,U_3513)) != U_3515
| ~ m2_relset_1(U_3513,U_3516,U_3515)
| ~ v1_funct_2(U_3513,U_3516,U_3515)
| ~ v1_funct_1(U_3513)
| ~ m2_relset_1(U_3514,U_3517,U_3516)
| ~ v1_funct_2(U_3514,U_3517,U_3516)
| ~ v1_funct_1(U_3514) ),
inference(definitional_conversion,[status(esa)],[f_1228_2]) ).
cnf(f_1228_4,plain,
( k2_relat_1(U_3514) = U_3516
| U_3515 = k1_xboole_0
| ~ v2_funct_1(U_3513)
| k2_relat_1(k1_partfun1(U_3517,U_3516,U_3516,U_3515,U_3514,U_3513)) != U_3515
| ~ m2_relset_1(U_3513,U_3516,U_3515)
| ~ v1_funct_2(U_3513,U_3516,U_3515)
| ~ v1_funct_1(U_3513)
| ~ m2_relset_1(U_3514,U_3517,U_3516)
| ~ v1_funct_2(U_3514,U_3517,U_3516)
| ~ v1_funct_1(U_3514) ),
inference(clausify,[status(thm)],[f_1228_3]) ).
fof(f_1229_1,plain,
! [A,B,C] :
( ! [D] :
( ( k2_relat_1(D) = A
& v2_funct_1(C) )
| B = k1_xboole_0
| k1_partfun1(A,B,B,A,C,D) != k6_partfun1(A)
| ~ m2_relset_1(D,B,A)
| ~ v1_funct_2(D,B,A)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t29_funct_2]) ).
fof(f_1229_2,plain,
! [U_3521,U_3520,U_3519] :
( ! [U_3518] :
( ( k2_relat_1(U_3518) = U_3521
& v2_funct_1(U_3519) )
| U_3520 = k1_xboole_0
| k1_partfun1(U_3521,U_3520,U_3520,U_3521,U_3519,U_3518) != k6_partfun1(U_3521)
| ~ m2_relset_1(U_3518,U_3520,U_3521)
| ~ v1_funct_2(U_3518,U_3520,U_3521)
| ~ v1_funct_1(U_3518) )
| ~ m2_relset_1(U_3519,U_3521,U_3520)
| ~ v1_funct_2(U_3519,U_3521,U_3520)
| ~ v1_funct_1(U_3519) ),
inference(variable_rename,[status(thm)],[f_1229_1]) ).
fof(f_1229_3,plain,
( ! [U_3518,U_3519,U_3521] :
( k2_relat_1(U_3518) = U_3521
| ~ sP485(U_3518,U_3519,U_3521) )
& ! [U_3518,U_3519,U_3521] :
( v2_funct_1(U_3519)
| ~ sP485(U_3518,U_3519,U_3521) )
& ! [U_3518,U_3520,U_3519,U_3521] :
( sP485(U_3518,U_3519,U_3521)
| U_3520 = k1_xboole_0
| k1_partfun1(U_3521,U_3520,U_3520,U_3521,U_3519,U_3518) != k6_partfun1(U_3521)
| ~ m2_relset_1(U_3518,U_3520,U_3521)
| ~ v1_funct_2(U_3518,U_3520,U_3521)
| ~ v1_funct_1(U_3518)
| ~ m2_relset_1(U_3519,U_3521,U_3520)
| ~ v1_funct_2(U_3519,U_3521,U_3520)
| ~ v1_funct_1(U_3519) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP485])],[f_1229_2]) ).
cnf(f_1229_4,plain,
( sP485(U_3518,U_3519,U_3521)
| U_3520 = k1_xboole_0
| k1_partfun1(U_3521,U_3520,U_3520,U_3521,U_3519,U_3518) != k6_partfun1(U_3521)
| ~ m2_relset_1(U_3518,U_3520,U_3521)
| ~ v1_funct_2(U_3518,U_3520,U_3521)
| ~ v1_funct_1(U_3518)
| ~ m2_relset_1(U_3519,U_3521,U_3520)
| ~ v1_funct_2(U_3519,U_3521,U_3520)
| ~ v1_funct_1(U_3519) ),
inference(clausify,[status(thm)],[f_1229_3]) ).
cnf(f_1229_5,plain,
( v2_funct_1(U_3519)
| ~ sP485(U_3518,U_3519,U_3521) ),
inference(clausify,[status(thm)],[f_1229_3]) ).
cnf(f_1229_6,plain,
( k2_relat_1(U_3518) = U_3521
| ~ sP485(U_3518,U_3519,U_3521) ),
inference(clausify,[status(thm)],[f_1229_3]) ).
fof(f_1230_1,plain,
! [A,B,C,D] :
( ! [E] :
( ( v2_funct_1(E)
& v2_funct_1(D) )
| ( B != k1_xboole_0
& C = k1_xboole_0 )
| k2_relat_1(D) != B
| ~ v2_funct_1(k1_partfun1(A,B,B,C,D,E))
| ~ m2_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t30_funct_2]) ).
fof(f_1230_2,plain,
! [U_3526,U_3525,U_3524,U_3523] :
( ! [U_3522] :
( ( v2_funct_1(U_3522)
& v2_funct_1(U_3523) )
| ( U_3525 != k1_xboole_0
& U_3524 = k1_xboole_0 )
| k2_relat_1(U_3523) != U_3525
| ~ v2_funct_1(k1_partfun1(U_3526,U_3525,U_3525,U_3524,U_3523,U_3522))
| ~ m2_relset_1(U_3522,U_3525,U_3524)
| ~ v1_funct_2(U_3522,U_3525,U_3524)
| ~ v1_funct_1(U_3522) )
| ~ m2_relset_1(U_3523,U_3526,U_3525)
| ~ v1_funct_2(U_3523,U_3526,U_3525)
| ~ v1_funct_1(U_3523) ),
inference(variable_rename,[status(thm)],[f_1230_1]) ).
fof(f_1230_3,plain,
( ! [U_3523,U_3522] :
( v2_funct_1(U_3522)
| ~ sP487(U_3523,U_3522) )
& ! [U_3523,U_3522] :
( v2_funct_1(U_3523)
| ~ sP487(U_3523,U_3522) )
& ! [U_3525,U_3524] :
( U_3525 != k1_xboole_0
| ~ sP486(U_3525,U_3524) )
& ! [U_3525,U_3524] :
( U_3524 = k1_xboole_0
| ~ sP486(U_3525,U_3524) )
& ! [U_3523,U_3525,U_3526,U_3524,U_3522] :
( sP487(U_3523,U_3522)
| sP486(U_3525,U_3524)
| k2_relat_1(U_3523) != U_3525
| ~ v2_funct_1(k1_partfun1(U_3526,U_3525,U_3525,U_3524,U_3523,U_3522))
| ~ m2_relset_1(U_3522,U_3525,U_3524)
| ~ v1_funct_2(U_3522,U_3525,U_3524)
| ~ v1_funct_1(U_3522)
| ~ m2_relset_1(U_3523,U_3526,U_3525)
| ~ v1_funct_2(U_3523,U_3526,U_3525)
| ~ v1_funct_1(U_3523) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP486,sP487])],[f_1230_2]) ).
cnf(f_1230_4,plain,
( sP487(U_3523,U_3522)
| sP486(U_3525,U_3524)
| k2_relat_1(U_3523) != U_3525
| ~ v2_funct_1(k1_partfun1(U_3526,U_3525,U_3525,U_3524,U_3523,U_3522))
| ~ m2_relset_1(U_3522,U_3525,U_3524)
| ~ v1_funct_2(U_3522,U_3525,U_3524)
| ~ v1_funct_1(U_3522)
| ~ m2_relset_1(U_3523,U_3526,U_3525)
| ~ v1_funct_2(U_3523,U_3526,U_3525)
| ~ v1_funct_1(U_3523) ),
inference(clausify,[status(thm)],[f_1230_3]) ).
cnf(f_1230_5,plain,
( U_3524 = k1_xboole_0
| ~ sP486(U_3525,U_3524) ),
inference(clausify,[status(thm)],[f_1230_3]) ).
cnf(f_1230_6,plain,
( U_3525 != k1_xboole_0
| ~ sP486(U_3525,U_3524) ),
inference(clausify,[status(thm)],[f_1230_3]) ).
cnf(f_1230_7,plain,
( v2_funct_1(U_3523)
| ~ sP487(U_3523,U_3522) ),
inference(clausify,[status(thm)],[f_1230_3]) ).
cnf(f_1230_8,plain,
( v2_funct_1(U_3522)
| ~ sP487(U_3523,U_3522) ),
inference(clausify,[status(thm)],[f_1230_3]) ).
fof(f_1231_1,plain,
! [A,B,C] :
( ( m2_relset_1(k2_funct_1(C),B,A)
& v1_funct_2(k2_funct_1(C),B,A)
& v1_funct_1(k2_funct_1(C)) )
| k2_relat_1(C) != B
| ~ v2_funct_1(C)
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t31_funct_2]) ).
fof(f_1231_2,plain,
! [U_3529,U_3528,U_3527] :
( ( m2_relset_1(k2_funct_1(U_3527),U_3528,U_3529)
& v1_funct_2(k2_funct_1(U_3527),U_3528,U_3529)
& v1_funct_1(k2_funct_1(U_3527)) )
| k2_relat_1(U_3527) != U_3528
| ~ v2_funct_1(U_3527)
| ~ m2_relset_1(U_3527,U_3529,U_3528)
| ~ v1_funct_2(U_3527,U_3529,U_3528)
| ~ v1_funct_1(U_3527) ),
inference(variable_rename,[status(thm)],[f_1231_1]) ).
fof(f_1231_3,plain,
( ! [U_3527,U_3528,U_3529] :
( m2_relset_1(k2_funct_1(U_3527),U_3528,U_3529)
| ~ sP488(U_3527,U_3528,U_3529) )
& ! [U_3527,U_3528,U_3529] :
( v1_funct_2(k2_funct_1(U_3527),U_3528,U_3529)
| ~ sP488(U_3527,U_3528,U_3529) )
& ! [U_3527,U_3528,U_3529] :
( v1_funct_1(k2_funct_1(U_3527))
| ~ sP488(U_3527,U_3528,U_3529) )
& ! [U_3527,U_3528,U_3529] :
( sP488(U_3527,U_3528,U_3529)
| k2_relat_1(U_3527) != U_3528
| ~ v2_funct_1(U_3527)
| ~ m2_relset_1(U_3527,U_3529,U_3528)
| ~ v1_funct_2(U_3527,U_3529,U_3528)
| ~ v1_funct_1(U_3527) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP488])],[f_1231_2]) ).
cnf(f_1231_4,plain,
( sP488(U_3527,U_3528,U_3529)
| k2_relat_1(U_3527) != U_3528
| ~ v2_funct_1(U_3527)
| ~ m2_relset_1(U_3527,U_3529,U_3528)
| ~ v1_funct_2(U_3527,U_3529,U_3528)
| ~ v1_funct_1(U_3527) ),
inference(clausify,[status(thm)],[f_1231_3]) ).
cnf(f_1231_5,plain,
( v1_funct_1(k2_funct_1(U_3527))
| ~ sP488(U_3527,U_3528,U_3529) ),
inference(clausify,[status(thm)],[f_1231_3]) ).
cnf(f_1231_6,plain,
( v1_funct_2(k2_funct_1(U_3527),U_3528,U_3529)
| ~ sP488(U_3527,U_3528,U_3529) ),
inference(clausify,[status(thm)],[f_1231_3]) ).
cnf(f_1231_7,plain,
( m2_relset_1(k2_funct_1(U_3527),U_3528,U_3529)
| ~ sP488(U_3527,U_3528,U_3529) ),
inference(clausify,[status(thm)],[f_1231_3]) ).
fof(f_1232_1,plain,
! [A,B,C,D] :
( k1_funct_1(k2_funct_1(D),k1_funct_1(D,C)) = C
| B = k1_xboole_0
| ~ r2_hidden(C,A)
| ~ v2_funct_1(D)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t32_funct_2]) ).
fof(f_1232_2,plain,
! [U_3533,U_3532,U_3531,U_3530] :
( k1_funct_1(k2_funct_1(U_3530),k1_funct_1(U_3530,U_3531)) = U_3531
| U_3532 = k1_xboole_0
| ~ r2_hidden(U_3531,U_3533)
| ~ v2_funct_1(U_3530)
| ~ m2_relset_1(U_3530,U_3533,U_3532)
| ~ v1_funct_2(U_3530,U_3533,U_3532)
| ~ v1_funct_1(U_3530) ),
inference(variable_rename,[status(thm)],[f_1232_1]) ).
fof(f_1232_3,plain,
! [U_3533,U_3530,U_3531,U_3532] :
( k1_funct_1(k2_funct_1(U_3530),k1_funct_1(U_3530,U_3531)) = U_3531
| U_3532 = k1_xboole_0
| ~ r2_hidden(U_3531,U_3533)
| ~ v2_funct_1(U_3530)
| ~ m2_relset_1(U_3530,U_3533,U_3532)
| ~ v1_funct_2(U_3530,U_3533,U_3532)
| ~ v1_funct_1(U_3530) ),
inference(definitional_conversion,[status(esa)],[f_1232_2]) ).
cnf(f_1232_4,plain,
( k1_funct_1(k2_funct_1(U_3530),k1_funct_1(U_3530,U_3531)) = U_3531
| U_3532 = k1_xboole_0
| ~ r2_hidden(U_3531,U_3533)
| ~ v2_funct_1(U_3530)
| ~ m2_relset_1(U_3530,U_3533,U_3532)
| ~ v1_funct_2(U_3530,U_3533,U_3532)
| ~ v1_funct_1(U_3530) ),
inference(clausify,[status(thm)],[f_1232_3]) ).
fof(f_1233_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t33_funct_2]) ).
fof(f_1233_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1233_1]) ).
cnf(f_1233_3,plain,
$true,
inference(clausify,[status(thm)],[f_1233_2]) ).
fof(f_1234_1,plain,
! [A,B,C] :
( ! [D] :
( D = k2_funct_1(C)
| B = k1_xboole_0
| A = k1_xboole_0
| ? [E,F] :
( ( ( k1_funct_1(D,E) != F
| ~ r2_hidden(E,B) )
& k1_funct_1(C,F) = E
& r2_hidden(F,A) )
| ( ( k1_funct_1(C,F) != E
| ~ r2_hidden(F,A) )
& k1_funct_1(D,E) = F
& r2_hidden(E,B) ) )
| ~ v2_funct_1(C)
| k2_relat_1(C) != B
| ~ m2_relset_1(D,B,A)
| ~ v1_funct_2(D,B,A)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t34_funct_2]) ).
fof(f_1234_2,plain,
! [U_3539,U_3538,U_3537] :
( ! [U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| ? [U_3535,U_3534] :
( ( ( k1_funct_1(U_3536,U_3535) != U_3534
| ~ r2_hidden(U_3535,U_3538) )
& k1_funct_1(U_3537,U_3534) = U_3535
& r2_hidden(U_3534,U_3539) )
| ( ( k1_funct_1(U_3537,U_3534) != U_3535
| ~ r2_hidden(U_3534,U_3539) )
& k1_funct_1(U_3536,U_3535) = U_3534
& r2_hidden(U_3535,U_3538) ) )
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536) )
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(variable_rename,[status(thm)],[f_1234_1]) ).
fof(f_1234_3,plain,
! [U_3539,U_3538,U_3537] :
( ! [U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| ? [U_3543,U_3541] :
( ( k1_funct_1(U_3536,U_3543) != U_3541
| ~ r2_hidden(U_3543,U_3538) )
& k1_funct_1(U_3537,U_3541) = U_3543
& r2_hidden(U_3541,U_3539) )
| ? [U_3542,U_3540] :
( ( k1_funct_1(U_3537,U_3540) != U_3542
| ~ r2_hidden(U_3540,U_3539) )
& k1_funct_1(U_3536,U_3542) = U_3540
& r2_hidden(U_3542,U_3538) )
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536) )
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(miniscope,[status(thm)],[f_1234_2]) ).
fof(f_1234_4,plain,
! [U_3539,U_3538,U_3537] :
( ! [U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| ? [U_3543,U_3541] :
( ( k1_funct_1(U_3536,U_3543) != U_3541
| ~ r2_hidden(U_3543,U_3538) )
& k1_funct_1(U_3537,U_3541) = U_3543
& r2_hidden(U_3541,U_3539) )
| ? [U_3540] :
( ( k1_funct_1(U_3537,U_3540) != sK326(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(U_3540,U_3539) )
& k1_funct_1(U_3536,sK326(U_3539,U_3538,U_3537,U_3536)) = U_3540
& r2_hidden(sK326(U_3539,U_3538,U_3537,U_3536),U_3538) )
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536) )
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK326]),skolemize(U_3542,sK326(U_3539,U_3538,U_3537,U_3536))],[f_1234_3]) ).
fof(f_1234_5,plain,
! [U_3539,U_3538,U_3537] :
( ! [U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| ? [U_3543,U_3541] :
( ( k1_funct_1(U_3536,U_3543) != U_3541
| ~ r2_hidden(U_3543,U_3538) )
& k1_funct_1(U_3537,U_3541) = U_3543
& r2_hidden(U_3541,U_3539) )
| ( ( k1_funct_1(U_3537,sK327(U_3539,U_3538,U_3537,U_3536)) != sK326(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK327(U_3539,U_3538,U_3537,U_3536),U_3539) )
& k1_funct_1(U_3536,sK326(U_3539,U_3538,U_3537,U_3536)) = sK327(U_3539,U_3538,U_3537,U_3536)
& r2_hidden(sK326(U_3539,U_3538,U_3537,U_3536),U_3538) )
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536) )
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK327]),skolemize(U_3540,sK327(U_3539,U_3538,U_3537,U_3536))],[f_1234_4]) ).
fof(f_1234_6,plain,
! [U_3539,U_3538,U_3537] :
( ! [U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| ? [U_3541] :
( ( k1_funct_1(U_3536,sK328(U_3539,U_3538,U_3537,U_3536)) != U_3541
| ~ r2_hidden(sK328(U_3539,U_3538,U_3537,U_3536),U_3538) )
& k1_funct_1(U_3537,U_3541) = sK328(U_3539,U_3538,U_3537,U_3536)
& r2_hidden(U_3541,U_3539) )
| ( ( k1_funct_1(U_3537,sK327(U_3539,U_3538,U_3537,U_3536)) != sK326(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK327(U_3539,U_3538,U_3537,U_3536),U_3539) )
& k1_funct_1(U_3536,sK326(U_3539,U_3538,U_3537,U_3536)) = sK327(U_3539,U_3538,U_3537,U_3536)
& r2_hidden(sK326(U_3539,U_3538,U_3537,U_3536),U_3538) )
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536) )
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK328]),skolemize(U_3543,sK328(U_3539,U_3538,U_3537,U_3536))],[f_1234_5]) ).
fof(f_1234_7,plain,
! [U_3539,U_3538,U_3537] :
( ! [U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| ( ( k1_funct_1(U_3536,sK328(U_3539,U_3538,U_3537,U_3536)) != sK329(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK328(U_3539,U_3538,U_3537,U_3536),U_3538) )
& k1_funct_1(U_3537,sK329(U_3539,U_3538,U_3537,U_3536)) = sK328(U_3539,U_3538,U_3537,U_3536)
& r2_hidden(sK329(U_3539,U_3538,U_3537,U_3536),U_3539) )
| ( ( k1_funct_1(U_3537,sK327(U_3539,U_3538,U_3537,U_3536)) != sK326(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK327(U_3539,U_3538,U_3537,U_3536),U_3539) )
& k1_funct_1(U_3536,sK326(U_3539,U_3538,U_3537,U_3536)) = sK327(U_3539,U_3538,U_3537,U_3536)
& r2_hidden(sK326(U_3539,U_3538,U_3537,U_3536),U_3538) )
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536) )
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK329]),skolemize(U_3541,sK329(U_3539,U_3538,U_3537,U_3536))],[f_1234_6]) ).
fof(f_1234_8,plain,
( ! [U_3537,U_3538,U_3539,U_3536] :
( k1_funct_1(U_3536,sK328(U_3539,U_3538,U_3537,U_3536)) != sK329(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK328(U_3539,U_3538,U_3537,U_3536),U_3538)
| ~ sP490(U_3537,U_3538,U_3539,U_3536) )
& ! [U_3537,U_3538,U_3539,U_3536] :
( k1_funct_1(U_3537,sK329(U_3539,U_3538,U_3537,U_3536)) = sK328(U_3539,U_3538,U_3537,U_3536)
| ~ sP490(U_3537,U_3538,U_3539,U_3536) )
& ! [U_3537,U_3538,U_3539,U_3536] :
( r2_hidden(sK329(U_3539,U_3538,U_3537,U_3536),U_3539)
| ~ sP490(U_3537,U_3538,U_3539,U_3536) )
& ! [U_3537,U_3538,U_3539,U_3536] :
( k1_funct_1(U_3537,sK327(U_3539,U_3538,U_3537,U_3536)) != sK326(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK327(U_3539,U_3538,U_3537,U_3536),U_3539)
| ~ sP489(U_3537,U_3538,U_3539,U_3536) )
& ! [U_3537,U_3538,U_3539,U_3536] :
( k1_funct_1(U_3536,sK326(U_3539,U_3538,U_3537,U_3536)) = sK327(U_3539,U_3538,U_3537,U_3536)
| ~ sP489(U_3537,U_3538,U_3539,U_3536) )
& ! [U_3537,U_3538,U_3539,U_3536] :
( r2_hidden(sK326(U_3539,U_3538,U_3537,U_3536),U_3538)
| ~ sP489(U_3537,U_3538,U_3539,U_3536) )
& ! [U_3537,U_3538,U_3539,U_3536] :
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| sP490(U_3537,U_3538,U_3539,U_3536)
| sP489(U_3537,U_3538,U_3539,U_3536)
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536)
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP489,sP490])],[f_1234_7]) ).
cnf(f_1234_9,plain,
( U_3536 = k2_funct_1(U_3537)
| U_3538 = k1_xboole_0
| U_3539 = k1_xboole_0
| sP490(U_3537,U_3538,U_3539,U_3536)
| sP489(U_3537,U_3538,U_3539,U_3536)
| ~ v2_funct_1(U_3537)
| k2_relat_1(U_3537) != U_3538
| ~ m2_relset_1(U_3536,U_3538,U_3539)
| ~ v1_funct_2(U_3536,U_3538,U_3539)
| ~ v1_funct_1(U_3536)
| ~ m2_relset_1(U_3537,U_3539,U_3538)
| ~ v1_funct_2(U_3537,U_3539,U_3538)
| ~ v1_funct_1(U_3537) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
cnf(f_1234_10,plain,
( r2_hidden(sK326(U_3539,U_3538,U_3537,U_3536),U_3538)
| ~ sP489(U_3537,U_3538,U_3539,U_3536) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
cnf(f_1234_11,plain,
( k1_funct_1(U_3536,sK326(U_3539,U_3538,U_3537,U_3536)) = sK327(U_3539,U_3538,U_3537,U_3536)
| ~ sP489(U_3537,U_3538,U_3539,U_3536) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
cnf(f_1234_12,plain,
( k1_funct_1(U_3537,sK327(U_3539,U_3538,U_3537,U_3536)) != sK326(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK327(U_3539,U_3538,U_3537,U_3536),U_3539)
| ~ sP489(U_3537,U_3538,U_3539,U_3536) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
cnf(f_1234_13,plain,
( r2_hidden(sK329(U_3539,U_3538,U_3537,U_3536),U_3539)
| ~ sP490(U_3537,U_3538,U_3539,U_3536) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
cnf(f_1234_14,plain,
( k1_funct_1(U_3537,sK329(U_3539,U_3538,U_3537,U_3536)) = sK328(U_3539,U_3538,U_3537,U_3536)
| ~ sP490(U_3537,U_3538,U_3539,U_3536) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
cnf(f_1234_15,plain,
( k1_funct_1(U_3536,sK328(U_3539,U_3538,U_3537,U_3536)) != sK329(U_3539,U_3538,U_3537,U_3536)
| ~ r2_hidden(sK328(U_3539,U_3538,U_3537,U_3536),U_3538)
| ~ sP490(U_3537,U_3538,U_3539,U_3536) ),
inference(clausify,[status(thm)],[f_1234_8]) ).
fof(f_1235_1,plain,
! [A,B,C] :
( ( k5_relat_1(k2_funct_1(C),C) = k6_partfun1(B)
& k5_relat_1(C,k2_funct_1(C)) = k6_partfun1(A) )
| B = k1_xboole_0
| ~ v2_funct_1(C)
| k2_relat_1(C) != B
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t35_funct_2]) ).
fof(f_1235_2,plain,
! [U_3546,U_3545,U_3544] :
( ( k5_relat_1(k2_funct_1(U_3544),U_3544) = k6_partfun1(U_3545)
& k5_relat_1(U_3544,k2_funct_1(U_3544)) = k6_partfun1(U_3546) )
| U_3545 = k1_xboole_0
| ~ v2_funct_1(U_3544)
| k2_relat_1(U_3544) != U_3545
| ~ m2_relset_1(U_3544,U_3546,U_3545)
| ~ v1_funct_2(U_3544,U_3546,U_3545)
| ~ v1_funct_1(U_3544) ),
inference(variable_rename,[status(thm)],[f_1235_1]) ).
fof(f_1235_3,plain,
( ! [U_3544,U_3545,U_3546] :
( k5_relat_1(k2_funct_1(U_3544),U_3544) = k6_partfun1(U_3545)
| ~ sP491(U_3544,U_3545,U_3546) )
& ! [U_3544,U_3545,U_3546] :
( k5_relat_1(U_3544,k2_funct_1(U_3544)) = k6_partfun1(U_3546)
| ~ sP491(U_3544,U_3545,U_3546) )
& ! [U_3544,U_3545,U_3546] :
( sP491(U_3544,U_3545,U_3546)
| U_3545 = k1_xboole_0
| ~ v2_funct_1(U_3544)
| k2_relat_1(U_3544) != U_3545
| ~ m2_relset_1(U_3544,U_3546,U_3545)
| ~ v1_funct_2(U_3544,U_3546,U_3545)
| ~ v1_funct_1(U_3544) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP491])],[f_1235_2]) ).
cnf(f_1235_4,plain,
( sP491(U_3544,U_3545,U_3546)
| U_3545 = k1_xboole_0
| ~ v2_funct_1(U_3544)
| k2_relat_1(U_3544) != U_3545
| ~ m2_relset_1(U_3544,U_3546,U_3545)
| ~ v1_funct_2(U_3544,U_3546,U_3545)
| ~ v1_funct_1(U_3544) ),
inference(clausify,[status(thm)],[f_1235_3]) ).
cnf(f_1235_5,plain,
( k5_relat_1(U_3544,k2_funct_1(U_3544)) = k6_partfun1(U_3546)
| ~ sP491(U_3544,U_3545,U_3546) ),
inference(clausify,[status(thm)],[f_1235_3]) ).
cnf(f_1235_6,plain,
( k5_relat_1(k2_funct_1(U_3544),U_3544) = k6_partfun1(U_3545)
| ~ sP491(U_3544,U_3545,U_3546) ),
inference(clausify,[status(thm)],[f_1235_3]) ).
fof(f_1236_1,plain,
! [A,B,C] :
( ! [D] :
( D = k2_funct_1(C)
| B = k1_xboole_0
| A = k1_xboole_0
| ~ v2_funct_1(C)
| k1_partfun1(A,B,B,A,C,D) != k6_partfun1(A)
| k2_relat_1(C) != B
| ~ m2_relset_1(D,B,A)
| ~ v1_funct_2(D,B,A)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t36_funct_2]) ).
fof(f_1236_2,plain,
! [U_3550,U_3549,U_3548] :
( ! [U_3547] :
( U_3547 = k2_funct_1(U_3548)
| U_3549 = k1_xboole_0
| U_3550 = k1_xboole_0
| ~ v2_funct_1(U_3548)
| k1_partfun1(U_3550,U_3549,U_3549,U_3550,U_3548,U_3547) != k6_partfun1(U_3550)
| k2_relat_1(U_3548) != U_3549
| ~ m2_relset_1(U_3547,U_3549,U_3550)
| ~ v1_funct_2(U_3547,U_3549,U_3550)
| ~ v1_funct_1(U_3547) )
| ~ m2_relset_1(U_3548,U_3550,U_3549)
| ~ v1_funct_2(U_3548,U_3550,U_3549)
| ~ v1_funct_1(U_3548) ),
inference(variable_rename,[status(thm)],[f_1236_1]) ).
fof(f_1236_3,plain,
! [U_3548,U_3549,U_3550,U_3547] :
( U_3547 = k2_funct_1(U_3548)
| U_3549 = k1_xboole_0
| U_3550 = k1_xboole_0
| ~ v2_funct_1(U_3548)
| k1_partfun1(U_3550,U_3549,U_3549,U_3550,U_3548,U_3547) != k6_partfun1(U_3550)
| k2_relat_1(U_3548) != U_3549
| ~ m2_relset_1(U_3547,U_3549,U_3550)
| ~ v1_funct_2(U_3547,U_3549,U_3550)
| ~ v1_funct_1(U_3547)
| ~ m2_relset_1(U_3548,U_3550,U_3549)
| ~ v1_funct_2(U_3548,U_3550,U_3549)
| ~ v1_funct_1(U_3548) ),
inference(definitional_conversion,[status(esa)],[f_1236_2]) ).
cnf(f_1236_4,plain,
( U_3547 = k2_funct_1(U_3548)
| U_3549 = k1_xboole_0
| U_3550 = k1_xboole_0
| ~ v2_funct_1(U_3548)
| k1_partfun1(U_3550,U_3549,U_3549,U_3550,U_3548,U_3547) != k6_partfun1(U_3550)
| k2_relat_1(U_3548) != U_3549
| ~ m2_relset_1(U_3547,U_3549,U_3550)
| ~ v1_funct_2(U_3547,U_3549,U_3550)
| ~ v1_funct_1(U_3547)
| ~ m2_relset_1(U_3548,U_3550,U_3549)
| ~ v1_funct_2(U_3548,U_3550,U_3549)
| ~ v1_funct_1(U_3548) ),
inference(clausify,[status(thm)],[f_1236_3]) ).
fof(f_1237_1,plain,
! [A,B,C] :
( v2_funct_1(C)
| ! [D] :
( k1_partfun1(A,B,B,A,C,D) != k6_partfun1(A)
| ~ m2_relset_1(D,B,A)
| ~ v1_funct_2(D,B,A)
| ~ v1_funct_1(D) )
| B = k1_xboole_0
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t37_funct_2]) ).
fof(f_1237_2,plain,
! [U_3554,U_3553,U_3552] :
( v2_funct_1(U_3552)
| ! [U_3551] :
( k1_partfun1(U_3554,U_3553,U_3553,U_3554,U_3552,U_3551) != k6_partfun1(U_3554)
| ~ m2_relset_1(U_3551,U_3553,U_3554)
| ~ v1_funct_2(U_3551,U_3553,U_3554)
| ~ v1_funct_1(U_3551) )
| U_3553 = k1_xboole_0
| ~ m2_relset_1(U_3552,U_3554,U_3553)
| ~ v1_funct_2(U_3552,U_3554,U_3553)
| ~ v1_funct_1(U_3552) ),
inference(variable_rename,[status(thm)],[f_1237_1]) ).
fof(f_1237_3,plain,
! [U_3553,U_3551,U_3554,U_3552] :
( v2_funct_1(U_3552)
| k1_partfun1(U_3554,U_3553,U_3553,U_3554,U_3552,U_3551) != k6_partfun1(U_3554)
| ~ m2_relset_1(U_3551,U_3553,U_3554)
| ~ v1_funct_2(U_3551,U_3553,U_3554)
| ~ v1_funct_1(U_3551)
| U_3553 = k1_xboole_0
| ~ m2_relset_1(U_3552,U_3554,U_3553)
| ~ v1_funct_2(U_3552,U_3554,U_3553)
| ~ v1_funct_1(U_3552) ),
inference(definitional_conversion,[status(esa)],[f_1237_2]) ).
cnf(f_1237_4,plain,
( v2_funct_1(U_3552)
| k1_partfun1(U_3554,U_3553,U_3553,U_3554,U_3552,U_3551) != k6_partfun1(U_3554)
| ~ m2_relset_1(U_3551,U_3553,U_3554)
| ~ v1_funct_2(U_3551,U_3553,U_3554)
| ~ v1_funct_1(U_3551)
| U_3553 = k1_xboole_0
| ~ m2_relset_1(U_3552,U_3554,U_3553)
| ~ v1_funct_2(U_3552,U_3554,U_3553)
| ~ v1_funct_1(U_3552) ),
inference(clausify,[status(thm)],[f_1237_3]) ).
fof(f_1238_1,plain,
! [A,B,C,D] :
( ( m2_relset_1(k2_partfun1(A,B,D,C),C,B)
& v1_funct_2(k2_partfun1(A,B,D,C),C,B)
& v1_funct_1(k2_partfun1(A,B,D,C)) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_tarski(C,A)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t38_funct_2]) ).
fof(f_1238_2,plain,
! [U_3558,U_3557,U_3556,U_3555] :
( ( m2_relset_1(k2_partfun1(U_3558,U_3557,U_3555,U_3556),U_3556,U_3557)
& v1_funct_2(k2_partfun1(U_3558,U_3557,U_3555,U_3556),U_3556,U_3557)
& v1_funct_1(k2_partfun1(U_3558,U_3557,U_3555,U_3556)) )
| ( U_3558 != k1_xboole_0
& U_3557 = k1_xboole_0 )
| ~ r1_tarski(U_3556,U_3558)
| ~ m2_relset_1(U_3555,U_3558,U_3557)
| ~ v1_funct_2(U_3555,U_3558,U_3557)
| ~ v1_funct_1(U_3555) ),
inference(variable_rename,[status(thm)],[f_1238_1]) ).
fof(f_1238_3,plain,
( ! [U_3558,U_3555,U_3556,U_3557] :
( m2_relset_1(k2_partfun1(U_3558,U_3557,U_3555,U_3556),U_3556,U_3557)
| ~ sP493(U_3558,U_3555,U_3556,U_3557) )
& ! [U_3558,U_3555,U_3556,U_3557] :
( v1_funct_2(k2_partfun1(U_3558,U_3557,U_3555,U_3556),U_3556,U_3557)
| ~ sP493(U_3558,U_3555,U_3556,U_3557) )
& ! [U_3558,U_3555,U_3556,U_3557] :
( v1_funct_1(k2_partfun1(U_3558,U_3557,U_3555,U_3556))
| ~ sP493(U_3558,U_3555,U_3556,U_3557) )
& ! [U_3558,U_3557] :
( U_3558 != k1_xboole_0
| ~ sP492(U_3558,U_3557) )
& ! [U_3558,U_3557] :
( U_3557 = k1_xboole_0
| ~ sP492(U_3558,U_3557) )
& ! [U_3558,U_3555,U_3556,U_3557] :
( sP493(U_3558,U_3555,U_3556,U_3557)
| sP492(U_3558,U_3557)
| ~ r1_tarski(U_3556,U_3558)
| ~ m2_relset_1(U_3555,U_3558,U_3557)
| ~ v1_funct_2(U_3555,U_3558,U_3557)
| ~ v1_funct_1(U_3555) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP492,sP493])],[f_1238_2]) ).
cnf(f_1238_4,plain,
( sP493(U_3558,U_3555,U_3556,U_3557)
| sP492(U_3558,U_3557)
| ~ r1_tarski(U_3556,U_3558)
| ~ m2_relset_1(U_3555,U_3558,U_3557)
| ~ v1_funct_2(U_3555,U_3558,U_3557)
| ~ v1_funct_1(U_3555) ),
inference(clausify,[status(thm)],[f_1238_3]) ).
cnf(f_1238_5,plain,
( U_3557 = k1_xboole_0
| ~ sP492(U_3558,U_3557) ),
inference(clausify,[status(thm)],[f_1238_3]) ).
cnf(f_1238_6,plain,
( U_3558 != k1_xboole_0
| ~ sP492(U_3558,U_3557) ),
inference(clausify,[status(thm)],[f_1238_3]) ).
cnf(f_1238_7,plain,
( v1_funct_1(k2_partfun1(U_3558,U_3557,U_3555,U_3556))
| ~ sP493(U_3558,U_3555,U_3556,U_3557) ),
inference(clausify,[status(thm)],[f_1238_3]) ).
cnf(f_1238_8,plain,
( v1_funct_2(k2_partfun1(U_3558,U_3557,U_3555,U_3556),U_3556,U_3557)
| ~ sP493(U_3558,U_3555,U_3556,U_3557) ),
inference(clausify,[status(thm)],[f_1238_3]) ).
cnf(f_1238_9,plain,
( m2_relset_1(k2_partfun1(U_3558,U_3557,U_3555,U_3556),U_3556,U_3557)
| ~ sP493(U_3558,U_3555,U_3556,U_3557) ),
inference(clausify,[status(thm)],[f_1238_3]) ).
fof(f_1239_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_funct_2]) ).
fof(f_1239_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1239_1]) ).
cnf(f_1239_3,plain,
$true,
inference(clausify,[status(thm)],[f_1239_2]) ).
fof(f_1240_1,plain,
! [A,B,C,D] :
( k2_partfun1(A,B,D,C) = D
| ~ r1_tarski(A,C)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t40_funct_2]) ).
fof(f_1240_2,plain,
! [U_3562,U_3561,U_3560,U_3559] :
( k2_partfun1(U_3562,U_3561,U_3559,U_3560) = U_3559
| ~ r1_tarski(U_3562,U_3560)
| ~ m2_relset_1(U_3559,U_3562,U_3561)
| ~ v1_funct_2(U_3559,U_3562,U_3561)
| ~ v1_funct_1(U_3559) ),
inference(variable_rename,[status(thm)],[f_1240_1]) ).
fof(f_1240_3,plain,
! [U_3559,U_3562,U_3561,U_3560] :
( k2_partfun1(U_3562,U_3561,U_3559,U_3560) = U_3559
| ~ r1_tarski(U_3562,U_3560)
| ~ m2_relset_1(U_3559,U_3562,U_3561)
| ~ v1_funct_2(U_3559,U_3562,U_3561)
| ~ v1_funct_1(U_3559) ),
inference(definitional_conversion,[status(esa)],[f_1240_2]) ).
cnf(f_1240_4,plain,
( k2_partfun1(U_3562,U_3561,U_3559,U_3560) = U_3559
| ~ r1_tarski(U_3562,U_3560)
| ~ m2_relset_1(U_3559,U_3562,U_3561)
| ~ v1_funct_2(U_3559,U_3562,U_3561)
| ~ v1_funct_1(U_3559) ),
inference(clausify,[status(thm)],[f_1240_3]) ).
fof(f_1241_1,plain,
! [A,B,C,D,E] :
( k1_funct_1(k9_relset_1(A,B,D,E),C) = k1_funct_1(E,C)
| B = k1_xboole_0
| ~ r2_hidden(k1_funct_1(E,C),D)
| ~ r2_hidden(C,A)
| ~ m2_relset_1(E,A,B)
| ~ v1_funct_2(E,A,B)
| ~ v1_funct_1(E) ),
inference(fof_nnf,[status(thm)],[t41_funct_2]) ).
fof(f_1241_2,plain,
! [U_3567,U_3566,U_3565,U_3564,U_3563] :
( k1_funct_1(k9_relset_1(U_3567,U_3566,U_3564,U_3563),U_3565) = k1_funct_1(U_3563,U_3565)
| U_3566 = k1_xboole_0
| ~ r2_hidden(k1_funct_1(U_3563,U_3565),U_3564)
| ~ r2_hidden(U_3565,U_3567)
| ~ m2_relset_1(U_3563,U_3567,U_3566)
| ~ v1_funct_2(U_3563,U_3567,U_3566)
| ~ v1_funct_1(U_3563) ),
inference(variable_rename,[status(thm)],[f_1241_1]) ).
fof(f_1241_3,plain,
! [U_3564,U_3566,U_3567,U_3565,U_3563] :
( k1_funct_1(k9_relset_1(U_3567,U_3566,U_3564,U_3563),U_3565) = k1_funct_1(U_3563,U_3565)
| U_3566 = k1_xboole_0
| ~ r2_hidden(k1_funct_1(U_3563,U_3565),U_3564)
| ~ r2_hidden(U_3565,U_3567)
| ~ m2_relset_1(U_3563,U_3567,U_3566)
| ~ v1_funct_2(U_3563,U_3567,U_3566)
| ~ v1_funct_1(U_3563) ),
inference(definitional_conversion,[status(esa)],[f_1241_2]) ).
cnf(f_1241_4,plain,
( k1_funct_1(k9_relset_1(U_3567,U_3566,U_3564,U_3563),U_3565) = k1_funct_1(U_3563,U_3565)
| U_3566 = k1_xboole_0
| ~ r2_hidden(k1_funct_1(U_3563,U_3565),U_3564)
| ~ r2_hidden(U_3565,U_3567)
| ~ m2_relset_1(U_3563,U_3567,U_3566)
| ~ v1_funct_2(U_3563,U_3567,U_3566)
| ~ v1_funct_1(U_3563) ),
inference(clausify,[status(thm)],[f_1241_3]) ).
fof(f_1242_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t42_funct_2]) ).
fof(f_1242_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1242_1]) ).
cnf(f_1242_3,plain,
$true,
inference(clausify,[status(thm)],[f_1242_2]) ).
fof(f_1243_1,plain,
! [A,B,C,D] :
( ! [E] :
( r2_hidden(E,k9_relat_1(D,C))
| ! [F] :
( E != k1_funct_1(D,F)
| ~ r2_hidden(F,C)
| ~ r2_hidden(F,A) ) )
| B = k1_xboole_0
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t43_funct_2]) ).
fof(f_1243_2,plain,
! [U_3573,U_3572,U_3571,U_3570] :
( ! [U_3569] :
( r2_hidden(U_3569,k9_relat_1(U_3570,U_3571))
| ! [U_3568] :
( U_3569 != k1_funct_1(U_3570,U_3568)
| ~ r2_hidden(U_3568,U_3571)
| ~ r2_hidden(U_3568,U_3573) ) )
| U_3572 = k1_xboole_0
| ~ m2_relset_1(U_3570,U_3573,U_3572)
| ~ v1_funct_2(U_3570,U_3573,U_3572)
| ~ v1_funct_1(U_3570) ),
inference(variable_rename,[status(thm)],[f_1243_1]) ).
fof(f_1243_3,plain,
! [U_3569,U_3570,U_3571,U_3568,U_3572,U_3573] :
( r2_hidden(U_3569,k9_relat_1(U_3570,U_3571))
| U_3569 != k1_funct_1(U_3570,U_3568)
| ~ r2_hidden(U_3568,U_3571)
| ~ r2_hidden(U_3568,U_3573)
| U_3572 = k1_xboole_0
| ~ m2_relset_1(U_3570,U_3573,U_3572)
| ~ v1_funct_2(U_3570,U_3573,U_3572)
| ~ v1_funct_1(U_3570) ),
inference(definitional_conversion,[status(esa)],[f_1243_2]) ).
cnf(f_1243_4,plain,
( r2_hidden(U_3569,k9_relat_1(U_3570,U_3571))
| U_3569 != k1_funct_1(U_3570,U_3568)
| ~ r2_hidden(U_3568,U_3571)
| ~ r2_hidden(U_3568,U_3573)
| U_3572 = k1_xboole_0
| ~ m2_relset_1(U_3570,U_3573,U_3572)
| ~ v1_funct_2(U_3570,U_3573,U_3572)
| ~ v1_funct_1(U_3570) ),
inference(clausify,[status(thm)],[f_1243_3]) ).
fof(f_1244_1,plain,
! [A,B,C,D] :
( r1_tarski(k9_relat_1(D,C),B)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t44_funct_2]) ).
fof(f_1244_2,plain,
! [U_3577,U_3576,U_3575,U_3574] :
( r1_tarski(k9_relat_1(U_3574,U_3575),U_3576)
| ~ m2_relset_1(U_3574,U_3577,U_3576)
| ~ v1_funct_2(U_3574,U_3577,U_3576)
| ~ v1_funct_1(U_3574) ),
inference(variable_rename,[status(thm)],[f_1244_1]) ).
fof(f_1244_3,plain,
! [U_3575,U_3574,U_3576,U_3577] :
( r1_tarski(k9_relat_1(U_3574,U_3575),U_3576)
| ~ m2_relset_1(U_3574,U_3577,U_3576)
| ~ v1_funct_2(U_3574,U_3577,U_3576)
| ~ v1_funct_1(U_3574) ),
inference(definitional_conversion,[status(esa)],[f_1244_2]) ).
cnf(f_1244_4,plain,
( r1_tarski(k9_relat_1(U_3574,U_3575),U_3576)
| ~ m2_relset_1(U_3574,U_3577,U_3576)
| ~ v1_funct_2(U_3574,U_3577,U_3576)
| ~ v1_funct_1(U_3574) ),
inference(clausify,[status(thm)],[f_1244_3]) ).
fof(f_1245_1,plain,
! [A,B,C] :
( k2_funct_2(A,B,C,A) = k2_relat_1(C)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t45_funct_2]) ).
fof(f_1245_2,plain,
! [U_3580,U_3579,U_3578] :
( k2_funct_2(U_3580,U_3579,U_3578,U_3580) = k2_relat_1(U_3578)
| ( U_3580 != k1_xboole_0
& U_3579 = k1_xboole_0 )
| ~ m2_relset_1(U_3578,U_3580,U_3579)
| ~ v1_funct_2(U_3578,U_3580,U_3579)
| ~ v1_funct_1(U_3578) ),
inference(variable_rename,[status(thm)],[f_1245_1]) ).
fof(f_1245_3,plain,
( ! [U_3579,U_3580] :
( U_3580 != k1_xboole_0
| ~ sP494(U_3579,U_3580) )
& ! [U_3579,U_3580] :
( U_3579 = k1_xboole_0
| ~ sP494(U_3579,U_3580) )
& ! [U_3578,U_3579,U_3580] :
( k2_funct_2(U_3580,U_3579,U_3578,U_3580) = k2_relat_1(U_3578)
| sP494(U_3579,U_3580)
| ~ m2_relset_1(U_3578,U_3580,U_3579)
| ~ v1_funct_2(U_3578,U_3580,U_3579)
| ~ v1_funct_1(U_3578) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP494])],[f_1245_2]) ).
cnf(f_1245_4,plain,
( k2_funct_2(U_3580,U_3579,U_3578,U_3580) = k2_relat_1(U_3578)
| sP494(U_3579,U_3580)
| ~ m2_relset_1(U_3578,U_3580,U_3579)
| ~ v1_funct_2(U_3578,U_3580,U_3579)
| ~ v1_funct_1(U_3578) ),
inference(clausify,[status(thm)],[f_1245_3]) ).
cnf(f_1245_5,plain,
( U_3579 = k1_xboole_0
| ~ sP494(U_3579,U_3580) ),
inference(clausify,[status(thm)],[f_1245_3]) ).
cnf(f_1245_6,plain,
( U_3580 != k1_xboole_0
| ~ sP494(U_3579,U_3580) ),
inference(clausify,[status(thm)],[f_1245_3]) ).
fof(f_1246_1,plain,
! [A,B,C,D] :
( ! [E] :
( ( r2_hidden(E,k10_relat_1(D,C))
| ~ r2_hidden(k1_funct_1(D,E),C)
| ~ r2_hidden(E,A) )
& ( ( r2_hidden(k1_funct_1(D,E),C)
& r2_hidden(E,A) )
| ~ r2_hidden(E,k10_relat_1(D,C)) ) )
| B = k1_xboole_0
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t46_funct_2]) ).
fof(f_1246_2,plain,
! [U_3585,U_3584,U_3583,U_3582] :
( ! [U_3581] :
( ( r2_hidden(U_3581,k10_relat_1(U_3582,U_3583))
| ~ r2_hidden(k1_funct_1(U_3582,U_3581),U_3583)
| ~ r2_hidden(U_3581,U_3585) )
& ( ( r2_hidden(k1_funct_1(U_3582,U_3581),U_3583)
& r2_hidden(U_3581,U_3585) )
| ~ r2_hidden(U_3581,k10_relat_1(U_3582,U_3583)) ) )
| U_3584 = k1_xboole_0
| ~ m2_relset_1(U_3582,U_3585,U_3584)
| ~ v1_funct_2(U_3582,U_3585,U_3584)
| ~ v1_funct_1(U_3582) ),
inference(variable_rename,[status(thm)],[f_1246_1]) ).
fof(f_1246_3,plain,
! [U_3585,U_3584,U_3583,U_3582] :
( ( ! [U_3587] :
( r2_hidden(U_3587,k10_relat_1(U_3582,U_3583))
| ~ r2_hidden(k1_funct_1(U_3582,U_3587),U_3583)
| ~ r2_hidden(U_3587,U_3585) )
& ! [U_3586] :
( ( r2_hidden(k1_funct_1(U_3582,U_3586),U_3583)
& r2_hidden(U_3586,U_3585) )
| ~ r2_hidden(U_3586,k10_relat_1(U_3582,U_3583)) ) )
| U_3584 = k1_xboole_0
| ~ m2_relset_1(U_3582,U_3585,U_3584)
| ~ v1_funct_2(U_3582,U_3585,U_3584)
| ~ v1_funct_1(U_3582) ),
inference(miniscope,[status(thm)],[f_1246_2]) ).
fof(f_1246_4,plain,
( ! [U_3583,U_3585,U_3586,U_3582] :
( r2_hidden(k1_funct_1(U_3582,U_3586),U_3583)
| ~ sP495(U_3583,U_3585,U_3586,U_3582) )
& ! [U_3583,U_3585,U_3586,U_3582] :
( r2_hidden(U_3586,U_3585)
| ~ sP495(U_3583,U_3585,U_3586,U_3582) )
& ! [U_3583,U_3585,U_3587,U_3586,U_3582] :
( r2_hidden(U_3587,k10_relat_1(U_3582,U_3583))
| ~ r2_hidden(k1_funct_1(U_3582,U_3587),U_3583)
| ~ r2_hidden(U_3587,U_3585)
| ~ sP496(U_3583,U_3585,U_3587,U_3586,U_3582) )
& ! [U_3583,U_3585,U_3587,U_3586,U_3582] :
( sP495(U_3583,U_3585,U_3586,U_3582)
| ~ r2_hidden(U_3586,k10_relat_1(U_3582,U_3583))
| ~ sP496(U_3583,U_3585,U_3587,U_3586,U_3582) )
& ! [U_3583,U_3584,U_3585,U_3587,U_3586,U_3582] :
( sP496(U_3583,U_3585,U_3587,U_3586,U_3582)
| U_3584 = k1_xboole_0
| ~ m2_relset_1(U_3582,U_3585,U_3584)
| ~ v1_funct_2(U_3582,U_3585,U_3584)
| ~ v1_funct_1(U_3582) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP495,sP496])],[f_1246_3]) ).
cnf(f_1246_5,plain,
( sP496(U_3583,U_3585,U_3587,U_3586,U_3582)
| U_3584 = k1_xboole_0
| ~ m2_relset_1(U_3582,U_3585,U_3584)
| ~ v1_funct_2(U_3582,U_3585,U_3584)
| ~ v1_funct_1(U_3582) ),
inference(clausify,[status(thm)],[f_1246_4]) ).
cnf(f_1246_6,plain,
( sP495(U_3583,U_3585,U_3586,U_3582)
| ~ r2_hidden(U_3586,k10_relat_1(U_3582,U_3583))
| ~ sP496(U_3583,U_3585,U_3587,U_3586,U_3582) ),
inference(clausify,[status(thm)],[f_1246_4]) ).
cnf(f_1246_7,plain,
( r2_hidden(U_3587,k10_relat_1(U_3582,U_3583))
| ~ r2_hidden(k1_funct_1(U_3582,U_3587),U_3583)
| ~ r2_hidden(U_3587,U_3585)
| ~ sP496(U_3583,U_3585,U_3587,U_3586,U_3582) ),
inference(clausify,[status(thm)],[f_1246_4]) ).
cnf(f_1246_8,plain,
( r2_hidden(U_3586,U_3585)
| ~ sP495(U_3583,U_3585,U_3586,U_3582) ),
inference(clausify,[status(thm)],[f_1246_4]) ).
cnf(f_1246_9,plain,
( r2_hidden(k1_funct_1(U_3582,U_3586),U_3583)
| ~ sP495(U_3583,U_3585,U_3586,U_3582) ),
inference(clausify,[status(thm)],[f_1246_4]) ).
fof(f_1247_1,plain,
! [A,B,C,D] :
( r1_tarski(k10_relat_1(D,C),A)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t47_funct_2]) ).
fof(f_1247_2,plain,
! [U_3591,U_3590,U_3589,U_3588] :
( r1_tarski(k10_relat_1(U_3588,U_3589),U_3591)
| ~ m2_relset_1(U_3588,U_3591,U_3590)
| ~ v1_funct_1(U_3588) ),
inference(variable_rename,[status(thm)],[f_1247_1]) ).
fof(f_1247_3,plain,
! [U_3590,U_3588,U_3591,U_3589] :
( r1_tarski(k10_relat_1(U_3588,U_3589),U_3591)
| ~ m2_relset_1(U_3588,U_3591,U_3590)
| ~ v1_funct_1(U_3588) ),
inference(definitional_conversion,[status(esa)],[f_1247_2]) ).
cnf(f_1247_4,plain,
( r1_tarski(k10_relat_1(U_3588,U_3589),U_3591)
| ~ m2_relset_1(U_3588,U_3591,U_3590)
| ~ v1_funct_1(U_3588) ),
inference(clausify,[status(thm)],[f_1247_3]) ).
fof(f_1248_1,plain,
! [A,B,C] :
( k3_funct_2(A,B,C,B) = A
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t48_funct_2]) ).
fof(f_1248_2,plain,
! [U_3594,U_3593,U_3592] :
( k3_funct_2(U_3594,U_3593,U_3592,U_3593) = U_3594
| ( U_3594 != k1_xboole_0
& U_3593 = k1_xboole_0 )
| ~ m2_relset_1(U_3592,U_3594,U_3593)
| ~ v1_funct_2(U_3592,U_3594,U_3593)
| ~ v1_funct_1(U_3592) ),
inference(variable_rename,[status(thm)],[f_1248_1]) ).
fof(f_1248_3,plain,
( ! [U_3593,U_3594] :
( U_3594 != k1_xboole_0
| ~ sP497(U_3593,U_3594) )
& ! [U_3593,U_3594] :
( U_3593 = k1_xboole_0
| ~ sP497(U_3593,U_3594) )
& ! [U_3593,U_3594,U_3592] :
( k3_funct_2(U_3594,U_3593,U_3592,U_3593) = U_3594
| sP497(U_3593,U_3594)
| ~ m2_relset_1(U_3592,U_3594,U_3593)
| ~ v1_funct_2(U_3592,U_3594,U_3593)
| ~ v1_funct_1(U_3592) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP497])],[f_1248_2]) ).
cnf(f_1248_4,plain,
( k3_funct_2(U_3594,U_3593,U_3592,U_3593) = U_3594
| sP497(U_3593,U_3594)
| ~ m2_relset_1(U_3592,U_3594,U_3593)
| ~ v1_funct_2(U_3592,U_3594,U_3593)
| ~ v1_funct_1(U_3592) ),
inference(clausify,[status(thm)],[f_1248_3]) ).
cnf(f_1248_5,plain,
( U_3593 = k1_xboole_0
| ~ sP497(U_3593,U_3594) ),
inference(clausify,[status(thm)],[f_1248_3]) ).
cnf(f_1248_6,plain,
( U_3594 != k1_xboole_0
| ~ sP497(U_3593,U_3594) ),
inference(clausify,[status(thm)],[f_1248_3]) ).
fof(f_1249_1,plain,
! [A,B,C] :
( ( ( ! [D] :
( k3_funct_2(A,B,C,k1_tarski(D)) != k1_xboole_0
| ~ r2_hidden(D,B) )
| k2_relat_1(C) != B )
& ( k2_relat_1(C) = B
| ? [D] :
( k3_funct_2(A,B,C,k1_tarski(D)) = k1_xboole_0
& r2_hidden(D,B) ) ) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t49_funct_2]) ).
fof(f_1249_2,plain,
! [U_3599,U_3598,U_3597] :
( ( ( ! [U_3596] :
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(U_3596)) != k1_xboole_0
| ~ r2_hidden(U_3596,U_3598) )
| k2_relat_1(U_3597) != U_3598 )
& ( k2_relat_1(U_3597) = U_3598
| ? [U_3595] :
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(U_3595)) = k1_xboole_0
& r2_hidden(U_3595,U_3598) ) ) )
| ~ m2_relset_1(U_3597,U_3599,U_3598)
| ~ v1_funct_2(U_3597,U_3599,U_3598)
| ~ v1_funct_1(U_3597) ),
inference(variable_rename,[status(thm)],[f_1249_1]) ).
fof(f_1249_3,plain,
! [U_3599,U_3598,U_3597] :
( ( ( ! [U_3596] :
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(U_3596)) != k1_xboole_0
| ~ r2_hidden(U_3596,U_3598) )
| k2_relat_1(U_3597) != U_3598 )
& ( k2_relat_1(U_3597) = U_3598
| ( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(sK330(U_3599,U_3598,U_3597))) = k1_xboole_0
& r2_hidden(sK330(U_3599,U_3598,U_3597),U_3598) ) ) )
| ~ m2_relset_1(U_3597,U_3599,U_3598)
| ~ v1_funct_2(U_3597,U_3599,U_3598)
| ~ v1_funct_1(U_3597) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK330]),skolemize(U_3595,sK330(U_3599,U_3598,U_3597))],[f_1249_2]) ).
fof(f_1249_4,plain,
( ! [U_3599,U_3597,U_3598] :
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(sK330(U_3599,U_3598,U_3597))) = k1_xboole_0
| ~ sP498(U_3599,U_3597,U_3598) )
& ! [U_3599,U_3597,U_3598] :
( r2_hidden(sK330(U_3599,U_3598,U_3597),U_3598)
| ~ sP498(U_3599,U_3597,U_3598) )
& ! [U_3599,U_3596,U_3597,U_3598] :
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(U_3596)) != k1_xboole_0
| ~ r2_hidden(U_3596,U_3598)
| k2_relat_1(U_3597) != U_3598
| ~ sP499(U_3599,U_3596,U_3597,U_3598) )
& ! [U_3599,U_3596,U_3597,U_3598] :
( k2_relat_1(U_3597) = U_3598
| sP498(U_3599,U_3597,U_3598)
| ~ sP499(U_3599,U_3596,U_3597,U_3598) )
& ! [U_3599,U_3596,U_3597,U_3598] :
( sP499(U_3599,U_3596,U_3597,U_3598)
| ~ m2_relset_1(U_3597,U_3599,U_3598)
| ~ v1_funct_2(U_3597,U_3599,U_3598)
| ~ v1_funct_1(U_3597) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP498,sP499])],[f_1249_3]) ).
cnf(f_1249_5,plain,
( sP499(U_3599,U_3596,U_3597,U_3598)
| ~ m2_relset_1(U_3597,U_3599,U_3598)
| ~ v1_funct_2(U_3597,U_3599,U_3598)
| ~ v1_funct_1(U_3597) ),
inference(clausify,[status(thm)],[f_1249_4]) ).
cnf(f_1249_6,plain,
( k2_relat_1(U_3597) = U_3598
| sP498(U_3599,U_3597,U_3598)
| ~ sP499(U_3599,U_3596,U_3597,U_3598) ),
inference(clausify,[status(thm)],[f_1249_4]) ).
cnf(f_1249_7,plain,
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(U_3596)) != k1_xboole_0
| ~ r2_hidden(U_3596,U_3598)
| k2_relat_1(U_3597) != U_3598
| ~ sP499(U_3599,U_3596,U_3597,U_3598) ),
inference(clausify,[status(thm)],[f_1249_4]) ).
cnf(f_1249_8,plain,
( r2_hidden(sK330(U_3599,U_3598,U_3597),U_3598)
| ~ sP498(U_3599,U_3597,U_3598) ),
inference(clausify,[status(thm)],[f_1249_4]) ).
cnf(f_1249_9,plain,
( k3_funct_2(U_3599,U_3598,U_3597,k1_tarski(sK330(U_3599,U_3598,U_3597))) = k1_xboole_0
| ~ sP498(U_3599,U_3597,U_3598) ),
inference(clausify,[status(thm)],[f_1249_4]) ).
fof(f_1250_1,plain,
! [A,B,C,D] :
( r1_tarski(C,k3_funct_2(A,B,D,k2_funct_2(A,B,D,C)))
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_tarski(C,A)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t50_funct_2]) ).
fof(f_1250_2,plain,
! [U_3603,U_3602,U_3601,U_3600] :
( r1_tarski(U_3601,k3_funct_2(U_3603,U_3602,U_3600,k2_funct_2(U_3603,U_3602,U_3600,U_3601)))
| ( U_3603 != k1_xboole_0
& U_3602 = k1_xboole_0 )
| ~ r1_tarski(U_3601,U_3603)
| ~ m2_relset_1(U_3600,U_3603,U_3602)
| ~ v1_funct_2(U_3600,U_3603,U_3602)
| ~ v1_funct_1(U_3600) ),
inference(variable_rename,[status(thm)],[f_1250_1]) ).
fof(f_1250_3,plain,
( ! [U_3603,U_3602] :
( U_3603 != k1_xboole_0
| ~ sP500(U_3603,U_3602) )
& ! [U_3603,U_3602] :
( U_3602 = k1_xboole_0
| ~ sP500(U_3603,U_3602) )
& ! [U_3600,U_3603,U_3602,U_3601] :
( r1_tarski(U_3601,k3_funct_2(U_3603,U_3602,U_3600,k2_funct_2(U_3603,U_3602,U_3600,U_3601)))
| sP500(U_3603,U_3602)
| ~ r1_tarski(U_3601,U_3603)
| ~ m2_relset_1(U_3600,U_3603,U_3602)
| ~ v1_funct_2(U_3600,U_3603,U_3602)
| ~ v1_funct_1(U_3600) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP500])],[f_1250_2]) ).
cnf(f_1250_4,plain,
( r1_tarski(U_3601,k3_funct_2(U_3603,U_3602,U_3600,k2_funct_2(U_3603,U_3602,U_3600,U_3601)))
| sP500(U_3603,U_3602)
| ~ r1_tarski(U_3601,U_3603)
| ~ m2_relset_1(U_3600,U_3603,U_3602)
| ~ v1_funct_2(U_3600,U_3603,U_3602)
| ~ v1_funct_1(U_3600) ),
inference(clausify,[status(thm)],[f_1250_3]) ).
cnf(f_1250_5,plain,
( U_3602 = k1_xboole_0
| ~ sP500(U_3603,U_3602) ),
inference(clausify,[status(thm)],[f_1250_3]) ).
cnf(f_1250_6,plain,
( U_3603 != k1_xboole_0
| ~ sP500(U_3603,U_3602) ),
inference(clausify,[status(thm)],[f_1250_3]) ).
fof(f_1251_1,plain,
! [A,B,C] :
( k3_funct_2(A,B,C,k2_funct_2(A,B,C,A)) = A
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t51_funct_2]) ).
fof(f_1251_2,plain,
! [U_3606,U_3605,U_3604] :
( k3_funct_2(U_3606,U_3605,U_3604,k2_funct_2(U_3606,U_3605,U_3604,U_3606)) = U_3606
| ( U_3606 != k1_xboole_0
& U_3605 = k1_xboole_0 )
| ~ m2_relset_1(U_3604,U_3606,U_3605)
| ~ v1_funct_2(U_3604,U_3606,U_3605)
| ~ v1_funct_1(U_3604) ),
inference(variable_rename,[status(thm)],[f_1251_1]) ).
fof(f_1251_3,plain,
( ! [U_3606,U_3605] :
( U_3606 != k1_xboole_0
| ~ sP501(U_3606,U_3605) )
& ! [U_3606,U_3605] :
( U_3605 = k1_xboole_0
| ~ sP501(U_3606,U_3605) )
& ! [U_3606,U_3604,U_3605] :
( k3_funct_2(U_3606,U_3605,U_3604,k2_funct_2(U_3606,U_3605,U_3604,U_3606)) = U_3606
| sP501(U_3606,U_3605)
| ~ m2_relset_1(U_3604,U_3606,U_3605)
| ~ v1_funct_2(U_3604,U_3606,U_3605)
| ~ v1_funct_1(U_3604) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP501])],[f_1251_2]) ).
cnf(f_1251_4,plain,
( k3_funct_2(U_3606,U_3605,U_3604,k2_funct_2(U_3606,U_3605,U_3604,U_3606)) = U_3606
| sP501(U_3606,U_3605)
| ~ m2_relset_1(U_3604,U_3606,U_3605)
| ~ v1_funct_2(U_3604,U_3606,U_3605)
| ~ v1_funct_1(U_3604) ),
inference(clausify,[status(thm)],[f_1251_3]) ).
cnf(f_1251_5,plain,
( U_3605 = k1_xboole_0
| ~ sP501(U_3606,U_3605) ),
inference(clausify,[status(thm)],[f_1251_3]) ).
cnf(f_1251_6,plain,
( U_3606 != k1_xboole_0
| ~ sP501(U_3606,U_3605) ),
inference(clausify,[status(thm)],[f_1251_3]) ).
fof(f_1252_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t52_funct_2]) ).
fof(f_1252_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1252_1]) ).
cnf(f_1252_3,plain,
$true,
inference(clausify,[status(thm)],[f_1252_2]) ).
fof(f_1253_1,plain,
! [A,B,C,D,E] :
( ! [F] :
( r1_tarski(k3_funct_2(A,B,E,D),k3_funct_2(A,C,k1_partfun1(A,B,B,C,E,F),k2_funct_2(B,C,F,D)))
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ( B != k1_xboole_0
& C = k1_xboole_0 )
| ~ m2_relset_1(F,B,C)
| ~ v1_funct_2(F,B,C)
| ~ v1_funct_1(F) )
| ~ m2_relset_1(E,A,B)
| ~ v1_funct_2(E,A,B)
| ~ v1_funct_1(E) ),
inference(fof_nnf,[status(thm)],[t53_funct_2]) ).
fof(f_1253_2,plain,
! [U_3612,U_3611,U_3610,U_3609,U_3608] :
( ! [U_3607] :
( r1_tarski(k3_funct_2(U_3612,U_3611,U_3608,U_3609),k3_funct_2(U_3612,U_3610,k1_partfun1(U_3612,U_3611,U_3611,U_3610,U_3608,U_3607),k2_funct_2(U_3611,U_3610,U_3607,U_3609)))
| ( U_3612 != k1_xboole_0
& U_3611 = k1_xboole_0 )
| ( U_3611 != k1_xboole_0
& U_3610 = k1_xboole_0 )
| ~ m2_relset_1(U_3607,U_3611,U_3610)
| ~ v1_funct_2(U_3607,U_3611,U_3610)
| ~ v1_funct_1(U_3607) )
| ~ m2_relset_1(U_3608,U_3612,U_3611)
| ~ v1_funct_2(U_3608,U_3612,U_3611)
| ~ v1_funct_1(U_3608) ),
inference(variable_rename,[status(thm)],[f_1253_1]) ).
fof(f_1253_3,plain,
( ! [U_3611,U_3612] :
( U_3612 != k1_xboole_0
| ~ sP503(U_3611,U_3612) )
& ! [U_3611,U_3612] :
( U_3611 = k1_xboole_0
| ~ sP503(U_3611,U_3612) )
& ! [U_3610,U_3611] :
( U_3611 != k1_xboole_0
| ~ sP502(U_3610,U_3611) )
& ! [U_3610,U_3611] :
( U_3610 = k1_xboole_0
| ~ sP502(U_3610,U_3611) )
& ! [U_3610,U_3609,U_3611,U_3612,U_3607,U_3608] :
( r1_tarski(k3_funct_2(U_3612,U_3611,U_3608,U_3609),k3_funct_2(U_3612,U_3610,k1_partfun1(U_3612,U_3611,U_3611,U_3610,U_3608,U_3607),k2_funct_2(U_3611,U_3610,U_3607,U_3609)))
| sP503(U_3611,U_3612)
| sP502(U_3610,U_3611)
| ~ m2_relset_1(U_3607,U_3611,U_3610)
| ~ v1_funct_2(U_3607,U_3611,U_3610)
| ~ v1_funct_1(U_3607)
| ~ m2_relset_1(U_3608,U_3612,U_3611)
| ~ v1_funct_2(U_3608,U_3612,U_3611)
| ~ v1_funct_1(U_3608) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP502,sP503])],[f_1253_2]) ).
cnf(f_1253_4,plain,
( r1_tarski(k3_funct_2(U_3612,U_3611,U_3608,U_3609),k3_funct_2(U_3612,U_3610,k1_partfun1(U_3612,U_3611,U_3611,U_3610,U_3608,U_3607),k2_funct_2(U_3611,U_3610,U_3607,U_3609)))
| sP503(U_3611,U_3612)
| sP502(U_3610,U_3611)
| ~ m2_relset_1(U_3607,U_3611,U_3610)
| ~ v1_funct_2(U_3607,U_3611,U_3610)
| ~ v1_funct_1(U_3607)
| ~ m2_relset_1(U_3608,U_3612,U_3611)
| ~ v1_funct_2(U_3608,U_3612,U_3611)
| ~ v1_funct_1(U_3608) ),
inference(clausify,[status(thm)],[f_1253_3]) ).
cnf(f_1253_5,plain,
( U_3610 = k1_xboole_0
| ~ sP502(U_3610,U_3611) ),
inference(clausify,[status(thm)],[f_1253_3]) ).
cnf(f_1253_6,plain,
( U_3611 != k1_xboole_0
| ~ sP502(U_3610,U_3611) ),
inference(clausify,[status(thm)],[f_1253_3]) ).
cnf(f_1253_7,plain,
( U_3611 = k1_xboole_0
| ~ sP503(U_3611,U_3612) ),
inference(clausify,[status(thm)],[f_1253_3]) ).
cnf(f_1253_8,plain,
( U_3612 != k1_xboole_0
| ~ sP503(U_3611,U_3612) ),
inference(clausify,[status(thm)],[f_1253_3]) ).
fof(f_1254_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t54_funct_2]) ).
fof(f_1254_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1254_1]) ).
cnf(f_1254_3,plain,
$true,
inference(clausify,[status(thm)],[f_1254_2]) ).
fof(f_1255_1,plain,
! [A,B] :
( ( m2_relset_1(B,k1_xboole_0,A)
& v1_funct_2(B,k1_xboole_0,A)
& v1_funct_1(B) )
| k1_relat_1(B) != k1_xboole_0
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t55_funct_2]) ).
fof(f_1255_2,plain,
! [U_3614,U_3613] :
( ( m2_relset_1(U_3613,k1_xboole_0,U_3614)
& v1_funct_2(U_3613,k1_xboole_0,U_3614)
& v1_funct_1(U_3613) )
| k1_relat_1(U_3613) != k1_xboole_0
| ~ v1_funct_1(U_3613)
| ~ v1_relat_1(U_3613) ),
inference(variable_rename,[status(thm)],[f_1255_1]) ).
fof(f_1255_3,plain,
( ! [U_3614,U_3613] :
( m2_relset_1(U_3613,k1_xboole_0,U_3614)
| ~ sP504(U_3614,U_3613) )
& ! [U_3614,U_3613] :
( v1_funct_2(U_3613,k1_xboole_0,U_3614)
| ~ sP504(U_3614,U_3613) )
& ! [U_3614,U_3613] :
( v1_funct_1(U_3613)
| ~ sP504(U_3614,U_3613) )
& ! [U_3614,U_3613] :
( sP504(U_3614,U_3613)
| k1_relat_1(U_3613) != k1_xboole_0
| ~ v1_funct_1(U_3613)
| ~ v1_relat_1(U_3613) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP504])],[f_1255_2]) ).
cnf(f_1255_4,plain,
( sP504(U_3614,U_3613)
| k1_relat_1(U_3613) != k1_xboole_0
| ~ v1_funct_1(U_3613)
| ~ v1_relat_1(U_3613) ),
inference(clausify,[status(thm)],[f_1255_3]) ).
cnf(f_1255_5,plain,
( v1_funct_1(U_3613)
| ~ sP504(U_3614,U_3613) ),
inference(clausify,[status(thm)],[f_1255_3]) ).
cnf(f_1255_6,plain,
( v1_funct_2(U_3613,k1_xboole_0,U_3614)
| ~ sP504(U_3614,U_3613) ),
inference(clausify,[status(thm)],[f_1255_3]) ).
cnf(f_1255_7,plain,
( m2_relset_1(U_3613,k1_xboole_0,U_3614)
| ~ sP504(U_3614,U_3613) ),
inference(clausify,[status(thm)],[f_1255_3]) ).
fof(f_1256_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_funct_2]) ).
fof(f_1256_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1256_1]) ).
cnf(f_1256_3,plain,
$true,
inference(clausify,[status(thm)],[f_1256_2]) ).
fof(f_1257_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_funct_2]) ).
fof(f_1257_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1257_1]) ).
cnf(f_1257_3,plain,
$true,
inference(clausify,[status(thm)],[f_1257_2]) ).
fof(f_1258_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t58_funct_2]) ).
fof(f_1258_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1258_1]) ).
cnf(f_1258_3,plain,
$true,
inference(clausify,[status(thm)],[f_1258_2]) ).
fof(f_1259_1,plain,
! [A,B,C] :
( k2_funct_2(k1_xboole_0,A,C,B) = k1_xboole_0
| ~ m2_relset_1(C,k1_xboole_0,A)
| ~ v1_funct_2(C,k1_xboole_0,A)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t59_funct_2]) ).
fof(f_1259_2,plain,
! [U_3617,U_3616,U_3615] :
( k2_funct_2(k1_xboole_0,U_3617,U_3615,U_3616) = k1_xboole_0
| ~ m2_relset_1(U_3615,k1_xboole_0,U_3617)
| ~ v1_funct_2(U_3615,k1_xboole_0,U_3617)
| ~ v1_funct_1(U_3615) ),
inference(variable_rename,[status(thm)],[f_1259_1]) ).
fof(f_1259_3,plain,
! [U_3617,U_3615,U_3616] :
( k2_funct_2(k1_xboole_0,U_3617,U_3615,U_3616) = k1_xboole_0
| ~ m2_relset_1(U_3615,k1_xboole_0,U_3617)
| ~ v1_funct_2(U_3615,k1_xboole_0,U_3617)
| ~ v1_funct_1(U_3615) ),
inference(definitional_conversion,[status(esa)],[f_1259_2]) ).
cnf(f_1259_4,plain,
( k2_funct_2(k1_xboole_0,U_3617,U_3615,U_3616) = k1_xboole_0
| ~ m2_relset_1(U_3615,k1_xboole_0,U_3617)
| ~ v1_funct_2(U_3615,k1_xboole_0,U_3617)
| ~ v1_funct_1(U_3615) ),
inference(clausify,[status(thm)],[f_1259_3]) ).
fof(f_1260_1,plain,
! [A,B,C] :
( k3_funct_2(k1_xboole_0,A,C,B) = k1_xboole_0
| ~ m2_relset_1(C,k1_xboole_0,A)
| ~ v1_funct_2(C,k1_xboole_0,A)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t60_funct_2]) ).
fof(f_1260_2,plain,
! [U_3620,U_3619,U_3618] :
( k3_funct_2(k1_xboole_0,U_3620,U_3618,U_3619) = k1_xboole_0
| ~ m2_relset_1(U_3618,k1_xboole_0,U_3620)
| ~ v1_funct_2(U_3618,k1_xboole_0,U_3620)
| ~ v1_funct_1(U_3618) ),
inference(variable_rename,[status(thm)],[f_1260_1]) ).
fof(f_1260_3,plain,
! [U_3619,U_3618,U_3620] :
( k3_funct_2(k1_xboole_0,U_3620,U_3618,U_3619) = k1_xboole_0
| ~ m2_relset_1(U_3618,k1_xboole_0,U_3620)
| ~ v1_funct_2(U_3618,k1_xboole_0,U_3620)
| ~ v1_funct_1(U_3618) ),
inference(definitional_conversion,[status(esa)],[f_1260_2]) ).
cnf(f_1260_4,plain,
( k3_funct_2(k1_xboole_0,U_3620,U_3618,U_3619) = k1_xboole_0
| ~ m2_relset_1(U_3618,k1_xboole_0,U_3620)
| ~ v1_funct_2(U_3618,k1_xboole_0,U_3620)
| ~ v1_funct_1(U_3618) ),
inference(clausify,[status(thm)],[f_1260_3]) ).
fof(f_1261_1,plain,
! [A,B,C] :
( r2_hidden(k1_funct_1(C,A),B)
| B = k1_xboole_0
| ~ m2_relset_1(C,k1_tarski(A),B)
| ~ v1_funct_2(C,k1_tarski(A),B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t61_funct_2]) ).
fof(f_1261_2,plain,
! [U_3623,U_3622,U_3621] :
( r2_hidden(k1_funct_1(U_3621,U_3623),U_3622)
| U_3622 = k1_xboole_0
| ~ m2_relset_1(U_3621,k1_tarski(U_3623),U_3622)
| ~ v1_funct_2(U_3621,k1_tarski(U_3623),U_3622)
| ~ v1_funct_1(U_3621) ),
inference(variable_rename,[status(thm)],[f_1261_1]) ).
fof(f_1261_3,plain,
! [U_3621,U_3622,U_3623] :
( r2_hidden(k1_funct_1(U_3621,U_3623),U_3622)
| U_3622 = k1_xboole_0
| ~ m2_relset_1(U_3621,k1_tarski(U_3623),U_3622)
| ~ v1_funct_2(U_3621,k1_tarski(U_3623),U_3622)
| ~ v1_funct_1(U_3621) ),
inference(definitional_conversion,[status(esa)],[f_1261_2]) ).
cnf(f_1261_4,plain,
( r2_hidden(k1_funct_1(U_3621,U_3623),U_3622)
| U_3622 = k1_xboole_0
| ~ m2_relset_1(U_3621,k1_tarski(U_3623),U_3622)
| ~ v1_funct_2(U_3621,k1_tarski(U_3623),U_3622)
| ~ v1_funct_1(U_3621) ),
inference(clausify,[status(thm)],[f_1261_3]) ).
fof(f_1262_1,plain,
! [A,B,C] :
( k2_relat_1(C) = k1_tarski(k1_funct_1(C,A))
| B = k1_xboole_0
| ~ m2_relset_1(C,k1_tarski(A),B)
| ~ v1_funct_2(C,k1_tarski(A),B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t62_funct_2]) ).
fof(f_1262_2,plain,
! [U_3626,U_3625,U_3624] :
( k2_relat_1(U_3624) = k1_tarski(k1_funct_1(U_3624,U_3626))
| U_3625 = k1_xboole_0
| ~ m2_relset_1(U_3624,k1_tarski(U_3626),U_3625)
| ~ v1_funct_2(U_3624,k1_tarski(U_3626),U_3625)
| ~ v1_funct_1(U_3624) ),
inference(variable_rename,[status(thm)],[f_1262_1]) ).
fof(f_1262_3,plain,
! [U_3624,U_3625,U_3626] :
( k2_relat_1(U_3624) = k1_tarski(k1_funct_1(U_3624,U_3626))
| U_3625 = k1_xboole_0
| ~ m2_relset_1(U_3624,k1_tarski(U_3626),U_3625)
| ~ v1_funct_2(U_3624,k1_tarski(U_3626),U_3625)
| ~ v1_funct_1(U_3624) ),
inference(definitional_conversion,[status(esa)],[f_1262_2]) ).
cnf(f_1262_4,plain,
( k2_relat_1(U_3624) = k1_tarski(k1_funct_1(U_3624,U_3626))
| U_3625 = k1_xboole_0
| ~ m2_relset_1(U_3624,k1_tarski(U_3626),U_3625)
| ~ v1_funct_2(U_3624,k1_tarski(U_3626),U_3625)
| ~ v1_funct_1(U_3624) ),
inference(clausify,[status(thm)],[f_1262_3]) ).
fof(f_1263_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t63_funct_2]) ).
fof(f_1263_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1263_1]) ).
cnf(f_1263_3,plain,
$true,
inference(clausify,[status(thm)],[f_1263_2]) ).
fof(f_1264_1,plain,
! [A,B,C,D] :
( r1_tarski(k2_funct_2(k1_tarski(A),B,D,C),k1_tarski(k1_funct_1(D,A)))
| B = k1_xboole_0
| ~ m2_relset_1(D,k1_tarski(A),B)
| ~ v1_funct_2(D,k1_tarski(A),B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t64_funct_2]) ).
fof(f_1264_2,plain,
! [U_3630,U_3629,U_3628,U_3627] :
( r1_tarski(k2_funct_2(k1_tarski(U_3630),U_3629,U_3627,U_3628),k1_tarski(k1_funct_1(U_3627,U_3630)))
| U_3629 = k1_xboole_0
| ~ m2_relset_1(U_3627,k1_tarski(U_3630),U_3629)
| ~ v1_funct_2(U_3627,k1_tarski(U_3630),U_3629)
| ~ v1_funct_1(U_3627) ),
inference(variable_rename,[status(thm)],[f_1264_1]) ).
fof(f_1264_3,plain,
! [U_3628,U_3630,U_3629,U_3627] :
( r1_tarski(k2_funct_2(k1_tarski(U_3630),U_3629,U_3627,U_3628),k1_tarski(k1_funct_1(U_3627,U_3630)))
| U_3629 = k1_xboole_0
| ~ m2_relset_1(U_3627,k1_tarski(U_3630),U_3629)
| ~ v1_funct_2(U_3627,k1_tarski(U_3630),U_3629)
| ~ v1_funct_1(U_3627) ),
inference(definitional_conversion,[status(esa)],[f_1264_2]) ).
cnf(f_1264_4,plain,
( r1_tarski(k2_funct_2(k1_tarski(U_3630),U_3629,U_3627,U_3628),k1_tarski(k1_funct_1(U_3627,U_3630)))
| U_3629 = k1_xboole_0
| ~ m2_relset_1(U_3627,k1_tarski(U_3630),U_3629)
| ~ v1_funct_2(U_3627,k1_tarski(U_3630),U_3629)
| ~ v1_funct_1(U_3627) ),
inference(clausify,[status(thm)],[f_1264_3]) ).
fof(f_1265_1,plain,
! [A,B,C,D] :
( k1_funct_1(D,C) = B
| ~ r2_hidden(C,A)
| ~ m2_relset_1(D,A,k1_tarski(B))
| ~ v1_funct_2(D,A,k1_tarski(B))
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t65_funct_2]) ).
fof(f_1265_2,plain,
! [U_3634,U_3633,U_3632,U_3631] :
( k1_funct_1(U_3631,U_3632) = U_3633
| ~ r2_hidden(U_3632,U_3634)
| ~ m2_relset_1(U_3631,U_3634,k1_tarski(U_3633))
| ~ v1_funct_2(U_3631,U_3634,k1_tarski(U_3633))
| ~ v1_funct_1(U_3631) ),
inference(variable_rename,[status(thm)],[f_1265_1]) ).
fof(f_1265_3,plain,
! [U_3631,U_3633,U_3634,U_3632] :
( k1_funct_1(U_3631,U_3632) = U_3633
| ~ r2_hidden(U_3632,U_3634)
| ~ m2_relset_1(U_3631,U_3634,k1_tarski(U_3633))
| ~ v1_funct_2(U_3631,U_3634,k1_tarski(U_3633))
| ~ v1_funct_1(U_3631) ),
inference(definitional_conversion,[status(esa)],[f_1265_2]) ).
cnf(f_1265_4,plain,
( k1_funct_1(U_3631,U_3632) = U_3633
| ~ r2_hidden(U_3632,U_3634)
| ~ m2_relset_1(U_3631,U_3634,k1_tarski(U_3633))
| ~ v1_funct_2(U_3631,U_3634,k1_tarski(U_3633))
| ~ v1_funct_1(U_3631) ),
inference(clausify,[status(thm)],[f_1265_3]) ).
fof(f_1266_1,plain,
! [A,B,C] :
( ! [D] :
( C = D
| ~ m2_relset_1(D,A,k1_tarski(B))
| ~ v1_funct_2(D,A,k1_tarski(B))
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,k1_tarski(B))
| ~ v1_funct_2(C,A,k1_tarski(B))
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t66_funct_2]) ).
fof(f_1266_2,plain,
! [U_3638,U_3637,U_3636] :
( ! [U_3635] :
( U_3636 = U_3635
| ~ m2_relset_1(U_3635,U_3638,k1_tarski(U_3637))
| ~ v1_funct_2(U_3635,U_3638,k1_tarski(U_3637))
| ~ v1_funct_1(U_3635) )
| ~ m2_relset_1(U_3636,U_3638,k1_tarski(U_3637))
| ~ v1_funct_2(U_3636,U_3638,k1_tarski(U_3637))
| ~ v1_funct_1(U_3636) ),
inference(variable_rename,[status(thm)],[f_1266_1]) ).
fof(f_1266_3,plain,
! [U_3638,U_3637,U_3636,U_3635] :
( U_3636 = U_3635
| ~ m2_relset_1(U_3635,U_3638,k1_tarski(U_3637))
| ~ v1_funct_2(U_3635,U_3638,k1_tarski(U_3637))
| ~ v1_funct_1(U_3635)
| ~ m2_relset_1(U_3636,U_3638,k1_tarski(U_3637))
| ~ v1_funct_2(U_3636,U_3638,k1_tarski(U_3637))
| ~ v1_funct_1(U_3636) ),
inference(definitional_conversion,[status(esa)],[f_1266_2]) ).
cnf(f_1266_4,plain,
( U_3636 = U_3635
| ~ m2_relset_1(U_3635,U_3638,k1_tarski(U_3637))
| ~ v1_funct_2(U_3635,U_3638,k1_tarski(U_3637))
| ~ v1_funct_1(U_3635)
| ~ m2_relset_1(U_3636,U_3638,k1_tarski(U_3637))
| ~ v1_funct_2(U_3636,U_3638,k1_tarski(U_3637))
| ~ v1_funct_1(U_3636) ),
inference(clausify,[status(thm)],[f_1266_3]) ).
fof(f_1267_1,plain,
! [A,B] :
( ( r1_tarski(k2_relat_1(B),A)
& k4_relset_1(A,A,B) = A )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t67_funct_2]) ).
fof(f_1267_2,plain,
! [U_3640,U_3639] :
( ( r1_tarski(k2_relat_1(U_3639),U_3640)
& k4_relset_1(U_3640,U_3640,U_3639) = U_3640 )
| ~ m2_relset_1(U_3639,U_3640,U_3640)
| ~ v1_funct_2(U_3639,U_3640,U_3640)
| ~ v1_funct_1(U_3639) ),
inference(variable_rename,[status(thm)],[f_1267_1]) ).
fof(f_1267_3,plain,
( ! [U_3640,U_3639] :
( r1_tarski(k2_relat_1(U_3639),U_3640)
| ~ sP505(U_3640,U_3639) )
& ! [U_3640,U_3639] :
( k4_relset_1(U_3640,U_3640,U_3639) = U_3640
| ~ sP505(U_3640,U_3639) )
& ! [U_3640,U_3639] :
( sP505(U_3640,U_3639)
| ~ m2_relset_1(U_3639,U_3640,U_3640)
| ~ v1_funct_2(U_3639,U_3640,U_3640)
| ~ v1_funct_1(U_3639) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP505])],[f_1267_2]) ).
cnf(f_1267_4,plain,
( sP505(U_3640,U_3639)
| ~ m2_relset_1(U_3639,U_3640,U_3640)
| ~ v1_funct_2(U_3639,U_3640,U_3640)
| ~ v1_funct_1(U_3639) ),
inference(clausify,[status(thm)],[f_1267_3]) ).
cnf(f_1267_5,plain,
( k4_relset_1(U_3640,U_3640,U_3639) = U_3640
| ~ sP505(U_3640,U_3639) ),
inference(clausify,[status(thm)],[f_1267_3]) ).
cnf(f_1267_6,plain,
( r1_tarski(k2_relat_1(U_3639),U_3640)
| ~ sP505(U_3640,U_3639) ),
inference(clausify,[status(thm)],[f_1267_3]) ).
fof(f_1268_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t68_funct_2]) ).
fof(f_1268_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1268_1]) ).
cnf(f_1268_3,plain,
$true,
inference(clausify,[status(thm)],[f_1268_2]) ).
fof(f_1269_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t69_funct_2]) ).
fof(f_1269_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1269_1]) ).
cnf(f_1269_3,plain,
$true,
inference(clausify,[status(thm)],[f_1269_2]) ).
fof(f_1270_1,plain,
! [A,B,C] :
( ! [D] :
( k1_funct_1(k5_relat_1(C,D),B) = k1_funct_1(D,k1_funct_1(C,B))
| ~ r2_hidden(B,A)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) )
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t70_funct_2]) ).
fof(f_1270_2,plain,
! [U_3644,U_3643,U_3642] :
( ! [U_3641] :
( k1_funct_1(k5_relat_1(U_3642,U_3641),U_3643) = k1_funct_1(U_3641,k1_funct_1(U_3642,U_3643))
| ~ r2_hidden(U_3643,U_3644)
| ~ v1_funct_1(U_3641)
| ~ v1_relat_1(U_3641) )
| ~ m2_relset_1(U_3642,U_3644,U_3644)
| ~ v1_funct_2(U_3642,U_3644,U_3644)
| ~ v1_funct_1(U_3642) ),
inference(variable_rename,[status(thm)],[f_1270_1]) ).
fof(f_1270_3,plain,
! [U_3643,U_3644,U_3642,U_3641] :
( k1_funct_1(k5_relat_1(U_3642,U_3641),U_3643) = k1_funct_1(U_3641,k1_funct_1(U_3642,U_3643))
| ~ r2_hidden(U_3643,U_3644)
| ~ v1_funct_1(U_3641)
| ~ v1_relat_1(U_3641)
| ~ m2_relset_1(U_3642,U_3644,U_3644)
| ~ v1_funct_2(U_3642,U_3644,U_3644)
| ~ v1_funct_1(U_3642) ),
inference(definitional_conversion,[status(esa)],[f_1270_2]) ).
cnf(f_1270_4,plain,
( k1_funct_1(k5_relat_1(U_3642,U_3641),U_3643) = k1_funct_1(U_3641,k1_funct_1(U_3642,U_3643))
| ~ r2_hidden(U_3643,U_3644)
| ~ v1_funct_1(U_3641)
| ~ v1_relat_1(U_3641)
| ~ m2_relset_1(U_3642,U_3644,U_3644)
| ~ v1_funct_2(U_3642,U_3644,U_3644)
| ~ v1_funct_1(U_3642) ),
inference(clausify,[status(thm)],[f_1270_3]) ).
fof(f_1271_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t71_funct_2]) ).
fof(f_1271_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1271_1]) ).
cnf(f_1271_3,plain,
$true,
inference(clausify,[status(thm)],[f_1271_2]) ).
fof(f_1272_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t72_funct_2]) ).
fof(f_1272_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1272_1]) ).
cnf(f_1272_3,plain,
$true,
inference(clausify,[status(thm)],[f_1272_2]) ).
fof(f_1273_1,plain,
! [A,B] :
( ! [C] :
( k2_relat_1(k4_funct_2(A,B,C)) = A
| k2_relat_1(C) != A
| k2_relat_1(B) != A
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t73_funct_2]) ).
fof(f_1273_2,plain,
! [U_3647,U_3646] :
( ! [U_3645] :
( k2_relat_1(k4_funct_2(U_3647,U_3646,U_3645)) = U_3647
| k2_relat_1(U_3645) != U_3647
| k2_relat_1(U_3646) != U_3647
| ~ m2_relset_1(U_3645,U_3647,U_3647)
| ~ v1_funct_2(U_3645,U_3647,U_3647)
| ~ v1_funct_1(U_3645) )
| ~ m2_relset_1(U_3646,U_3647,U_3647)
| ~ v1_funct_2(U_3646,U_3647,U_3647)
| ~ v1_funct_1(U_3646) ),
inference(variable_rename,[status(thm)],[f_1273_1]) ).
fof(f_1273_3,plain,
! [U_3645,U_3647,U_3646] :
( k2_relat_1(k4_funct_2(U_3647,U_3646,U_3645)) = U_3647
| k2_relat_1(U_3645) != U_3647
| k2_relat_1(U_3646) != U_3647
| ~ m2_relset_1(U_3645,U_3647,U_3647)
| ~ v1_funct_2(U_3645,U_3647,U_3647)
| ~ v1_funct_1(U_3645)
| ~ m2_relset_1(U_3646,U_3647,U_3647)
| ~ v1_funct_2(U_3646,U_3647,U_3647)
| ~ v1_funct_1(U_3646) ),
inference(definitional_conversion,[status(esa)],[f_1273_2]) ).
cnf(f_1273_4,plain,
( k2_relat_1(k4_funct_2(U_3647,U_3646,U_3645)) = U_3647
| k2_relat_1(U_3645) != U_3647
| k2_relat_1(U_3646) != U_3647
| ~ m2_relset_1(U_3645,U_3647,U_3647)
| ~ v1_funct_2(U_3645,U_3647,U_3647)
| ~ v1_funct_1(U_3645)
| ~ m2_relset_1(U_3646,U_3647,U_3647)
| ~ v1_funct_2(U_3646,U_3647,U_3647)
| ~ v1_funct_1(U_3646) ),
inference(clausify,[status(thm)],[f_1273_3]) ).
fof(f_1274_1,plain,
! [A,B] :
( ( k7_relset_1(A,A,A,A,k6_partfun1(A),B) = B
& k7_relset_1(A,A,A,A,B,k6_partfun1(A)) = B )
| ~ m2_relset_1(B,A,A) ),
inference(fof_nnf,[status(thm)],[t74_funct_2]) ).
fof(f_1274_2,plain,
! [U_3649,U_3648] :
( ( k7_relset_1(U_3649,U_3649,U_3649,U_3649,k6_partfun1(U_3649),U_3648) = U_3648
& k7_relset_1(U_3649,U_3649,U_3649,U_3649,U_3648,k6_partfun1(U_3649)) = U_3648 )
| ~ m2_relset_1(U_3648,U_3649,U_3649) ),
inference(variable_rename,[status(thm)],[f_1274_1]) ).
fof(f_1274_3,plain,
( ! [U_3648,U_3649] :
( k7_relset_1(U_3649,U_3649,U_3649,U_3649,k6_partfun1(U_3649),U_3648) = U_3648
| ~ sP506(U_3648,U_3649) )
& ! [U_3648,U_3649] :
( k7_relset_1(U_3649,U_3649,U_3649,U_3649,U_3648,k6_partfun1(U_3649)) = U_3648
| ~ sP506(U_3648,U_3649) )
& ! [U_3648,U_3649] :
( sP506(U_3648,U_3649)
| ~ m2_relset_1(U_3648,U_3649,U_3649) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP506])],[f_1274_2]) ).
cnf(f_1274_4,plain,
( sP506(U_3648,U_3649)
| ~ m2_relset_1(U_3648,U_3649,U_3649) ),
inference(clausify,[status(thm)],[f_1274_3]) ).
cnf(f_1274_5,plain,
( k7_relset_1(U_3649,U_3649,U_3649,U_3649,U_3648,k6_partfun1(U_3649)) = U_3648
| ~ sP506(U_3648,U_3649) ),
inference(clausify,[status(thm)],[f_1274_3]) ).
cnf(f_1274_6,plain,
( k7_relset_1(U_3649,U_3649,U_3649,U_3649,k6_partfun1(U_3649),U_3648) = U_3648
| ~ sP506(U_3648,U_3649) ),
inference(clausify,[status(thm)],[f_1274_3]) ).
fof(f_1275_1,plain,
! [A,B] :
( ! [C] :
( C = k6_partfun1(A)
| k2_relat_1(B) != A
| k4_funct_2(A,B,C) != B
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t75_funct_2]) ).
fof(f_1275_2,plain,
! [U_3652,U_3651] :
( ! [U_3650] :
( U_3650 = k6_partfun1(U_3652)
| k2_relat_1(U_3651) != U_3652
| k4_funct_2(U_3652,U_3651,U_3650) != U_3651
| ~ m2_relset_1(U_3650,U_3652,U_3652)
| ~ v1_funct_2(U_3650,U_3652,U_3652)
| ~ v1_funct_1(U_3650) )
| ~ m2_relset_1(U_3651,U_3652,U_3652)
| ~ v1_funct_2(U_3651,U_3652,U_3652)
| ~ v1_funct_1(U_3651) ),
inference(variable_rename,[status(thm)],[f_1275_1]) ).
fof(f_1275_3,plain,
! [U_3652,U_3650,U_3651] :
( U_3650 = k6_partfun1(U_3652)
| k2_relat_1(U_3651) != U_3652
| k4_funct_2(U_3652,U_3651,U_3650) != U_3651
| ~ m2_relset_1(U_3650,U_3652,U_3652)
| ~ v1_funct_2(U_3650,U_3652,U_3652)
| ~ v1_funct_1(U_3650)
| ~ m2_relset_1(U_3651,U_3652,U_3652)
| ~ v1_funct_2(U_3651,U_3652,U_3652)
| ~ v1_funct_1(U_3651) ),
inference(definitional_conversion,[status(esa)],[f_1275_2]) ).
cnf(f_1275_4,plain,
( U_3650 = k6_partfun1(U_3652)
| k2_relat_1(U_3651) != U_3652
| k4_funct_2(U_3652,U_3651,U_3650) != U_3651
| ~ m2_relset_1(U_3650,U_3652,U_3652)
| ~ v1_funct_2(U_3650,U_3652,U_3652)
| ~ v1_funct_1(U_3650)
| ~ m2_relset_1(U_3651,U_3652,U_3652)
| ~ v1_funct_2(U_3651,U_3652,U_3652)
| ~ v1_funct_1(U_3651) ),
inference(clausify,[status(thm)],[f_1275_3]) ).
fof(f_1276_1,plain,
! [A,B] :
( ! [C] :
( C = k6_partfun1(A)
| ~ v2_funct_1(B)
| k4_funct_2(A,C,B) != B
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t76_funct_2]) ).
fof(f_1276_2,plain,
! [U_3655,U_3654] :
( ! [U_3653] :
( U_3653 = k6_partfun1(U_3655)
| ~ v2_funct_1(U_3654)
| k4_funct_2(U_3655,U_3653,U_3654) != U_3654
| ~ m2_relset_1(U_3653,U_3655,U_3655)
| ~ v1_funct_2(U_3653,U_3655,U_3655)
| ~ v1_funct_1(U_3653) )
| ~ m2_relset_1(U_3654,U_3655,U_3655)
| ~ v1_funct_2(U_3654,U_3655,U_3655)
| ~ v1_funct_1(U_3654) ),
inference(variable_rename,[status(thm)],[f_1276_1]) ).
fof(f_1276_3,plain,
! [U_3653,U_3654,U_3655] :
( U_3653 = k6_partfun1(U_3655)
| ~ v2_funct_1(U_3654)
| k4_funct_2(U_3655,U_3653,U_3654) != U_3654
| ~ m2_relset_1(U_3653,U_3655,U_3655)
| ~ v1_funct_2(U_3653,U_3655,U_3655)
| ~ v1_funct_1(U_3653)
| ~ m2_relset_1(U_3654,U_3655,U_3655)
| ~ v1_funct_2(U_3654,U_3655,U_3655)
| ~ v1_funct_1(U_3654) ),
inference(definitional_conversion,[status(esa)],[f_1276_2]) ).
cnf(f_1276_4,plain,
( U_3653 = k6_partfun1(U_3655)
| ~ v2_funct_1(U_3654)
| k4_funct_2(U_3655,U_3653,U_3654) != U_3654
| ~ m2_relset_1(U_3653,U_3655,U_3655)
| ~ v1_funct_2(U_3653,U_3655,U_3655)
| ~ v1_funct_1(U_3653)
| ~ m2_relset_1(U_3654,U_3655,U_3655)
| ~ v1_funct_2(U_3654,U_3655,U_3655)
| ~ v1_funct_1(U_3654) ),
inference(clausify,[status(thm)],[f_1276_3]) ).
fof(f_1277_1,plain,
! [A,B] :
( ( ( v2_funct_1(B)
| ? [C,D] :
( C != D
& k1_funct_1(B,C) = k1_funct_1(B,D)
& r2_hidden(D,A)
& r2_hidden(C,A) ) )
& ( ! [C,D] :
( C = D
| k1_funct_1(B,C) != k1_funct_1(B,D)
| ~ r2_hidden(D,A)
| ~ r2_hidden(C,A) )
| ~ v2_funct_1(B) ) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t77_funct_2]) ).
fof(f_1277_2,plain,
! [U_3661,U_3660] :
( ( ( v2_funct_1(U_3660)
| ? [U_3659,U_3658] :
( U_3659 != U_3658
& k1_funct_1(U_3660,U_3659) = k1_funct_1(U_3660,U_3658)
& r2_hidden(U_3658,U_3661)
& r2_hidden(U_3659,U_3661) ) )
& ( ! [U_3657,U_3656] :
( U_3657 = U_3656
| k1_funct_1(U_3660,U_3657) != k1_funct_1(U_3660,U_3656)
| ~ r2_hidden(U_3656,U_3661)
| ~ r2_hidden(U_3657,U_3661) )
| ~ v2_funct_1(U_3660) ) )
| ~ m2_relset_1(U_3660,U_3661,U_3661)
| ~ v1_funct_2(U_3660,U_3661,U_3661)
| ~ v1_funct_1(U_3660) ),
inference(variable_rename,[status(thm)],[f_1277_1]) ).
fof(f_1277_3,plain,
! [U_3661,U_3660] :
( ( ( v2_funct_1(U_3660)
| ? [U_3658] :
( sK331(U_3661,U_3660) != U_3658
& k1_funct_1(U_3660,sK331(U_3661,U_3660)) = k1_funct_1(U_3660,U_3658)
& r2_hidden(U_3658,U_3661)
& r2_hidden(sK331(U_3661,U_3660),U_3661) ) )
& ( ! [U_3657,U_3656] :
( U_3657 = U_3656
| k1_funct_1(U_3660,U_3657) != k1_funct_1(U_3660,U_3656)
| ~ r2_hidden(U_3656,U_3661)
| ~ r2_hidden(U_3657,U_3661) )
| ~ v2_funct_1(U_3660) ) )
| ~ m2_relset_1(U_3660,U_3661,U_3661)
| ~ v1_funct_2(U_3660,U_3661,U_3661)
| ~ v1_funct_1(U_3660) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK331]),skolemize(U_3659,sK331(U_3661,U_3660))],[f_1277_2]) ).
fof(f_1277_4,plain,
! [U_3661,U_3660] :
( ( ( v2_funct_1(U_3660)
| ( sK331(U_3661,U_3660) != sK332(U_3661,U_3660)
& k1_funct_1(U_3660,sK331(U_3661,U_3660)) = k1_funct_1(U_3660,sK332(U_3661,U_3660))
& r2_hidden(sK332(U_3661,U_3660),U_3661)
& r2_hidden(sK331(U_3661,U_3660),U_3661) ) )
& ( ! [U_3657,U_3656] :
( U_3657 = U_3656
| k1_funct_1(U_3660,U_3657) != k1_funct_1(U_3660,U_3656)
| ~ r2_hidden(U_3656,U_3661)
| ~ r2_hidden(U_3657,U_3661) )
| ~ v2_funct_1(U_3660) ) )
| ~ m2_relset_1(U_3660,U_3661,U_3661)
| ~ v1_funct_2(U_3660,U_3661,U_3661)
| ~ v1_funct_1(U_3660) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK332]),skolemize(U_3658,sK332(U_3661,U_3660))],[f_1277_3]) ).
fof(f_1277_5,plain,
( ! [U_3661,U_3660] :
( sK331(U_3661,U_3660) != sK332(U_3661,U_3660)
| ~ sP507(U_3661,U_3660) )
& ! [U_3661,U_3660] :
( k1_funct_1(U_3660,sK331(U_3661,U_3660)) = k1_funct_1(U_3660,sK332(U_3661,U_3660))
| ~ sP507(U_3661,U_3660) )
& ! [U_3661,U_3660] :
( r2_hidden(sK332(U_3661,U_3660),U_3661)
| ~ sP507(U_3661,U_3660) )
& ! [U_3661,U_3660] :
( r2_hidden(sK331(U_3661,U_3660),U_3661)
| ~ sP507(U_3661,U_3660) )
& ! [U_3656,U_3661,U_3657,U_3660] :
( v2_funct_1(U_3660)
| sP507(U_3661,U_3660)
| ~ sP508(U_3656,U_3661,U_3657,U_3660) )
& ! [U_3656,U_3661,U_3657,U_3660] :
( U_3657 = U_3656
| k1_funct_1(U_3660,U_3657) != k1_funct_1(U_3660,U_3656)
| ~ r2_hidden(U_3656,U_3661)
| ~ r2_hidden(U_3657,U_3661)
| ~ v2_funct_1(U_3660)
| ~ sP508(U_3656,U_3661,U_3657,U_3660) )
& ! [U_3656,U_3661,U_3657,U_3660] :
( sP508(U_3656,U_3661,U_3657,U_3660)
| ~ m2_relset_1(U_3660,U_3661,U_3661)
| ~ v1_funct_2(U_3660,U_3661,U_3661)
| ~ v1_funct_1(U_3660) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP507,sP508])],[f_1277_4]) ).
cnf(f_1277_6,plain,
( sP508(U_3656,U_3661,U_3657,U_3660)
| ~ m2_relset_1(U_3660,U_3661,U_3661)
| ~ v1_funct_2(U_3660,U_3661,U_3661)
| ~ v1_funct_1(U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
cnf(f_1277_7,plain,
( U_3657 = U_3656
| k1_funct_1(U_3660,U_3657) != k1_funct_1(U_3660,U_3656)
| ~ r2_hidden(U_3656,U_3661)
| ~ r2_hidden(U_3657,U_3661)
| ~ v2_funct_1(U_3660)
| ~ sP508(U_3656,U_3661,U_3657,U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
cnf(f_1277_8,plain,
( v2_funct_1(U_3660)
| sP507(U_3661,U_3660)
| ~ sP508(U_3656,U_3661,U_3657,U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
cnf(f_1277_9,plain,
( r2_hidden(sK331(U_3661,U_3660),U_3661)
| ~ sP507(U_3661,U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
cnf(f_1277_10,plain,
( r2_hidden(sK332(U_3661,U_3660),U_3661)
| ~ sP507(U_3661,U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
cnf(f_1277_11,plain,
( k1_funct_1(U_3660,sK331(U_3661,U_3660)) = k1_funct_1(U_3660,sK332(U_3661,U_3660))
| ~ sP507(U_3661,U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
cnf(f_1277_12,plain,
( sK331(U_3661,U_3660) != sK332(U_3661,U_3660)
| ~ sP507(U_3661,U_3660) ),
inference(clausify,[status(thm)],[f_1277_5]) ).
fof(f_1278_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t78_funct_2]) ).
fof(f_1278_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1278_1]) ).
cnf(f_1278_3,plain,
$true,
inference(clausify,[status(thm)],[f_1278_2]) ).
fof(f_1279_1,plain,
! [A,B] :
( k2_funct_2(A,A,B,A) = k2_relat_1(B)
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t79_funct_2]) ).
fof(f_1279_2,plain,
! [U_3663,U_3662] :
( k2_funct_2(U_3663,U_3663,U_3662,U_3663) = k2_relat_1(U_3662)
| ~ m2_relset_1(U_3662,U_3663,U_3663)
| ~ v1_funct_2(U_3662,U_3663,U_3663)
| ~ v1_funct_1(U_3662) ),
inference(variable_rename,[status(thm)],[f_1279_1]) ).
fof(f_1279_3,plain,
! [U_3662,U_3663] :
( k2_funct_2(U_3663,U_3663,U_3662,U_3663) = k2_relat_1(U_3662)
| ~ m2_relset_1(U_3662,U_3663,U_3663)
| ~ v1_funct_2(U_3662,U_3663,U_3663)
| ~ v1_funct_1(U_3662) ),
inference(definitional_conversion,[status(esa)],[f_1279_2]) ).
cnf(f_1279_4,plain,
( k2_funct_2(U_3663,U_3663,U_3662,U_3663) = k2_relat_1(U_3662)
| ~ m2_relset_1(U_3662,U_3663,U_3663)
| ~ v1_funct_2(U_3662,U_3663,U_3663)
| ~ v1_funct_1(U_3662) ),
inference(clausify,[status(thm)],[f_1279_3]) ).
fof(f_1280_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t80_funct_2]) ).
fof(f_1280_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1280_1]) ).
cnf(f_1280_3,plain,
$true,
inference(clausify,[status(thm)],[f_1280_2]) ).
fof(f_1281_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t81_funct_2]) ).
fof(f_1281_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1281_1]) ).
cnf(f_1281_3,plain,
$true,
inference(clausify,[status(thm)],[f_1281_2]) ).
fof(f_1282_1,plain,
! [A,B] :
( k3_funct_2(A,A,B,k2_funct_2(A,A,B,A)) = A
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t82_funct_2]) ).
fof(f_1282_2,plain,
! [U_3665,U_3664] :
( k3_funct_2(U_3665,U_3665,U_3664,k2_funct_2(U_3665,U_3665,U_3664,U_3665)) = U_3665
| ~ m2_relset_1(U_3664,U_3665,U_3665)
| ~ v1_funct_2(U_3664,U_3665,U_3665)
| ~ v1_funct_1(U_3664) ),
inference(variable_rename,[status(thm)],[f_1282_1]) ).
fof(f_1282_3,plain,
! [U_3664,U_3665] :
( k3_funct_2(U_3665,U_3665,U_3664,k2_funct_2(U_3665,U_3665,U_3664,U_3665)) = U_3665
| ~ m2_relset_1(U_3664,U_3665,U_3665)
| ~ v1_funct_2(U_3664,U_3665,U_3665)
| ~ v1_funct_1(U_3664) ),
inference(definitional_conversion,[status(esa)],[f_1282_2]) ).
cnf(f_1282_4,plain,
( k3_funct_2(U_3665,U_3665,U_3664,k2_funct_2(U_3665,U_3665,U_3664,U_3665)) = U_3665
| ~ m2_relset_1(U_3664,U_3665,U_3665)
| ~ v1_funct_2(U_3664,U_3665,U_3665)
| ~ v1_funct_1(U_3664) ),
inference(clausify,[status(thm)],[f_1282_3]) ).
fof(f_1283_1,plain,
! [A,B,C] :
( ( ( v2_funct_2(C,A,B)
| k2_relat_1(C) != B )
& ( k2_relat_1(C) = B
| ~ v2_funct_2(C,A,B) ) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[d3_funct_2]) ).
fof(f_1283_2,plain,
! [U_3668,U_3667,U_3666] :
( ( ( v2_funct_2(U_3666,U_3668,U_3667)
| k2_relat_1(U_3666) != U_3667 )
& ( k2_relat_1(U_3666) = U_3667
| ~ v2_funct_2(U_3666,U_3668,U_3667) ) )
| ~ m2_relset_1(U_3666,U_3668,U_3667)
| ~ v1_funct_2(U_3666,U_3668,U_3667)
| ~ v1_funct_1(U_3666) ),
inference(variable_rename,[status(thm)],[f_1283_1]) ).
fof(f_1283_3,plain,
( ! [U_3668,U_3666,U_3667] :
( v2_funct_2(U_3666,U_3668,U_3667)
| k2_relat_1(U_3666) != U_3667
| ~ sP509(U_3668,U_3666,U_3667) )
& ! [U_3668,U_3666,U_3667] :
( k2_relat_1(U_3666) = U_3667
| ~ v2_funct_2(U_3666,U_3668,U_3667)
| ~ sP509(U_3668,U_3666,U_3667) )
& ! [U_3668,U_3666,U_3667] :
( sP509(U_3668,U_3666,U_3667)
| ~ m2_relset_1(U_3666,U_3668,U_3667)
| ~ v1_funct_2(U_3666,U_3668,U_3667)
| ~ v1_funct_1(U_3666) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP509])],[f_1283_2]) ).
cnf(f_1283_4,plain,
( sP509(U_3668,U_3666,U_3667)
| ~ m2_relset_1(U_3666,U_3668,U_3667)
| ~ v1_funct_2(U_3666,U_3668,U_3667)
| ~ v1_funct_1(U_3666) ),
inference(clausify,[status(thm)],[f_1283_3]) ).
cnf(f_1283_5,plain,
( k2_relat_1(U_3666) = U_3667
| ~ v2_funct_2(U_3666,U_3668,U_3667)
| ~ sP509(U_3668,U_3666,U_3667) ),
inference(clausify,[status(thm)],[f_1283_3]) ).
cnf(f_1283_6,plain,
( v2_funct_2(U_3666,U_3668,U_3667)
| k2_relat_1(U_3666) != U_3667
| ~ sP509(U_3668,U_3666,U_3667) ),
inference(clausify,[status(thm)],[f_1283_3]) ).
fof(f_1284_1,plain,
! [A,B,C] :
( ( ( v3_funct_2(C,A,B)
| ~ v2_funct_2(C,A,B)
| ~ v2_funct_1(C) )
& ( ( v2_funct_2(C,A,B)
& v2_funct_1(C) )
| ~ v3_funct_2(C,A,B) ) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[d4_funct_2]) ).
fof(f_1284_2,plain,
! [U_3671,U_3670,U_3669] :
( ( ( v3_funct_2(U_3669,U_3671,U_3670)
| ~ v2_funct_2(U_3669,U_3671,U_3670)
| ~ v2_funct_1(U_3669) )
& ( ( v2_funct_2(U_3669,U_3671,U_3670)
& v2_funct_1(U_3669) )
| ~ v3_funct_2(U_3669,U_3671,U_3670) ) )
| ~ m2_relset_1(U_3669,U_3671,U_3670)
| ~ v1_funct_2(U_3669,U_3671,U_3670)
| ~ v1_funct_1(U_3669) ),
inference(variable_rename,[status(thm)],[f_1284_1]) ).
fof(f_1284_3,plain,
( ! [U_3670,U_3669,U_3671] :
( v2_funct_2(U_3669,U_3671,U_3670)
| ~ sP510(U_3670,U_3669,U_3671) )
& ! [U_3670,U_3669,U_3671] :
( v2_funct_1(U_3669)
| ~ sP510(U_3670,U_3669,U_3671) )
& ! [U_3670,U_3669,U_3671] :
( v3_funct_2(U_3669,U_3671,U_3670)
| ~ v2_funct_2(U_3669,U_3671,U_3670)
| ~ v2_funct_1(U_3669)
| ~ sP511(U_3670,U_3669,U_3671) )
& ! [U_3670,U_3669,U_3671] :
( sP510(U_3670,U_3669,U_3671)
| ~ v3_funct_2(U_3669,U_3671,U_3670)
| ~ sP511(U_3670,U_3669,U_3671) )
& ! [U_3670,U_3669,U_3671] :
( sP511(U_3670,U_3669,U_3671)
| ~ m2_relset_1(U_3669,U_3671,U_3670)
| ~ v1_funct_2(U_3669,U_3671,U_3670)
| ~ v1_funct_1(U_3669) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP510,sP511])],[f_1284_2]) ).
cnf(f_1284_4,plain,
( sP511(U_3670,U_3669,U_3671)
| ~ m2_relset_1(U_3669,U_3671,U_3670)
| ~ v1_funct_2(U_3669,U_3671,U_3670)
| ~ v1_funct_1(U_3669) ),
inference(clausify,[status(thm)],[f_1284_3]) ).
cnf(f_1284_5,plain,
( sP510(U_3670,U_3669,U_3671)
| ~ v3_funct_2(U_3669,U_3671,U_3670)
| ~ sP511(U_3670,U_3669,U_3671) ),
inference(clausify,[status(thm)],[f_1284_3]) ).
cnf(f_1284_6,plain,
( v3_funct_2(U_3669,U_3671,U_3670)
| ~ v2_funct_2(U_3669,U_3671,U_3670)
| ~ v2_funct_1(U_3669)
| ~ sP511(U_3670,U_3669,U_3671) ),
inference(clausify,[status(thm)],[f_1284_3]) ).
cnf(f_1284_7,plain,
( v2_funct_1(U_3669)
| ~ sP510(U_3670,U_3669,U_3671) ),
inference(clausify,[status(thm)],[f_1284_3]) ).
cnf(f_1284_8,plain,
( v2_funct_2(U_3669,U_3671,U_3670)
| ~ sP510(U_3670,U_3669,U_3671) ),
inference(clausify,[status(thm)],[f_1284_3]) ).
fof(f_1285_1,plain,
! [A,B] :
( ( m2_relset_1(B,A,A)
& v3_funct_2(B,A,A)
& v1_funct_2(B,A,A)
& v1_funct_1(B) )
| k2_relat_1(B) != A
| ~ v2_funct_1(B)
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t83_funct_2]) ).
fof(f_1285_2,plain,
! [U_3673,U_3672] :
( ( m2_relset_1(U_3672,U_3673,U_3673)
& v3_funct_2(U_3672,U_3673,U_3673)
& v1_funct_2(U_3672,U_3673,U_3673)
& v1_funct_1(U_3672) )
| k2_relat_1(U_3672) != U_3673
| ~ v2_funct_1(U_3672)
| ~ m2_relset_1(U_3672,U_3673,U_3673)
| ~ v1_funct_2(U_3672,U_3673,U_3673)
| ~ v1_funct_1(U_3672) ),
inference(variable_rename,[status(thm)],[f_1285_1]) ).
fof(f_1285_3,plain,
( ! [U_3673,U_3672] :
( m2_relset_1(U_3672,U_3673,U_3673)
| ~ sP512(U_3673,U_3672) )
& ! [U_3673,U_3672] :
( v3_funct_2(U_3672,U_3673,U_3673)
| ~ sP512(U_3673,U_3672) )
& ! [U_3673,U_3672] :
( v1_funct_2(U_3672,U_3673,U_3673)
| ~ sP512(U_3673,U_3672) )
& ! [U_3673,U_3672] :
( v1_funct_1(U_3672)
| ~ sP512(U_3673,U_3672) )
& ! [U_3673,U_3672] :
( sP512(U_3673,U_3672)
| k2_relat_1(U_3672) != U_3673
| ~ v2_funct_1(U_3672)
| ~ m2_relset_1(U_3672,U_3673,U_3673)
| ~ v1_funct_2(U_3672,U_3673,U_3673)
| ~ v1_funct_1(U_3672) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP512])],[f_1285_2]) ).
cnf(f_1285_4,plain,
( sP512(U_3673,U_3672)
| k2_relat_1(U_3672) != U_3673
| ~ v2_funct_1(U_3672)
| ~ m2_relset_1(U_3672,U_3673,U_3673)
| ~ v1_funct_2(U_3672,U_3673,U_3673)
| ~ v1_funct_1(U_3672) ),
inference(clausify,[status(thm)],[f_1285_3]) ).
cnf(f_1285_5,plain,
( v1_funct_1(U_3672)
| ~ sP512(U_3673,U_3672) ),
inference(clausify,[status(thm)],[f_1285_3]) ).
cnf(f_1285_6,plain,
( v1_funct_2(U_3672,U_3673,U_3673)
| ~ sP512(U_3673,U_3672) ),
inference(clausify,[status(thm)],[f_1285_3]) ).
cnf(f_1285_7,plain,
( v3_funct_2(U_3672,U_3673,U_3673)
| ~ sP512(U_3673,U_3672) ),
inference(clausify,[status(thm)],[f_1285_3]) ).
cnf(f_1285_8,plain,
( m2_relset_1(U_3672,U_3673,U_3673)
| ~ sP512(U_3673,U_3672) ),
inference(clausify,[status(thm)],[f_1285_3]) ).
fof(f_1286_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t84_funct_2]) ).
fof(f_1286_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1286_1]) ).
cnf(f_1286_3,plain,
$true,
inference(clausify,[status(thm)],[f_1286_2]) ).
fof(f_1287_1,plain,
! [A,B] :
( ! [C,D] :
( C = D
| k1_funct_1(B,C) != k1_funct_1(B,D)
| ~ r2_hidden(D,A)
| ~ r2_hidden(C,A) )
| ~ v2_funct_1(B)
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t85_funct_2]) ).
fof(f_1287_2,plain,
! [U_3677,U_3676] :
( ! [U_3675,U_3674] :
( U_3675 = U_3674
| k1_funct_1(U_3676,U_3675) != k1_funct_1(U_3676,U_3674)
| ~ r2_hidden(U_3674,U_3677)
| ~ r2_hidden(U_3675,U_3677) )
| ~ v2_funct_1(U_3676)
| ~ m2_relset_1(U_3676,U_3677,U_3677)
| ~ v1_funct_2(U_3676,U_3677,U_3677)
| ~ v1_funct_1(U_3676) ),
inference(variable_rename,[status(thm)],[f_1287_1]) ).
fof(f_1287_3,plain,
! [U_3675,U_3676,U_3677,U_3674] :
( U_3675 = U_3674
| k1_funct_1(U_3676,U_3675) != k1_funct_1(U_3676,U_3674)
| ~ r2_hidden(U_3674,U_3677)
| ~ r2_hidden(U_3675,U_3677)
| ~ v2_funct_1(U_3676)
| ~ m2_relset_1(U_3676,U_3677,U_3677)
| ~ v1_funct_2(U_3676,U_3677,U_3677)
| ~ v1_funct_1(U_3676) ),
inference(definitional_conversion,[status(esa)],[f_1287_2]) ).
cnf(f_1287_4,plain,
( U_3675 = U_3674
| k1_funct_1(U_3676,U_3675) != k1_funct_1(U_3676,U_3674)
| ~ r2_hidden(U_3674,U_3677)
| ~ r2_hidden(U_3675,U_3677)
| ~ v2_funct_1(U_3676)
| ~ m2_relset_1(U_3676,U_3677,U_3677)
| ~ v1_funct_2(U_3676,U_3677,U_3677)
| ~ v1_funct_1(U_3676) ),
inference(clausify,[status(thm)],[f_1287_3]) ).
fof(f_1288_1,plain,
! [A,B] :
( ! [C] :
( B = k6_partfun1(A)
| k5_funct_2(A,B,C) != C
| ~ m2_relset_1(C,A,A)
| ~ v3_funct_2(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t86_funct_2]) ).
fof(f_1288_2,plain,
! [U_3680,U_3679] :
( ! [U_3678] :
( U_3679 = k6_partfun1(U_3680)
| k5_funct_2(U_3680,U_3679,U_3678) != U_3678
| ~ m2_relset_1(U_3678,U_3680,U_3680)
| ~ v3_funct_2(U_3678,U_3680,U_3680)
| ~ v1_funct_2(U_3678,U_3680,U_3680)
| ~ v1_funct_1(U_3678) )
| ~ m2_relset_1(U_3679,U_3680,U_3680)
| ~ v3_funct_2(U_3679,U_3680,U_3680)
| ~ v1_funct_2(U_3679,U_3680,U_3680)
| ~ v1_funct_1(U_3679) ),
inference(variable_rename,[status(thm)],[f_1288_1]) ).
fof(f_1288_3,plain,
! [U_3678,U_3680,U_3679] :
( U_3679 = k6_partfun1(U_3680)
| k5_funct_2(U_3680,U_3679,U_3678) != U_3678
| ~ m2_relset_1(U_3678,U_3680,U_3680)
| ~ v3_funct_2(U_3678,U_3680,U_3680)
| ~ v1_funct_2(U_3678,U_3680,U_3680)
| ~ v1_funct_1(U_3678)
| ~ m2_relset_1(U_3679,U_3680,U_3680)
| ~ v3_funct_2(U_3679,U_3680,U_3680)
| ~ v1_funct_2(U_3679,U_3680,U_3680)
| ~ v1_funct_1(U_3679) ),
inference(definitional_conversion,[status(esa)],[f_1288_2]) ).
cnf(f_1288_4,plain,
( U_3679 = k6_partfun1(U_3680)
| k5_funct_2(U_3680,U_3679,U_3678) != U_3678
| ~ m2_relset_1(U_3678,U_3680,U_3680)
| ~ v3_funct_2(U_3678,U_3680,U_3680)
| ~ v1_funct_2(U_3678,U_3680,U_3680)
| ~ v1_funct_1(U_3678)
| ~ m2_relset_1(U_3679,U_3680,U_3680)
| ~ v3_funct_2(U_3679,U_3680,U_3680)
| ~ v1_funct_2(U_3679,U_3680,U_3680)
| ~ v1_funct_1(U_3679) ),
inference(clausify,[status(thm)],[f_1288_3]) ).
fof(f_1289_1,plain,
! [A,B] :
( ! [C] :
( C = k6_funct_2(A,B)
| k5_funct_2(A,B,C) != k6_partfun1(A)
| ~ m2_relset_1(C,A,A)
| ~ v3_funct_2(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t87_funct_2]) ).
fof(f_1289_2,plain,
! [U_3683,U_3682] :
( ! [U_3681] :
( U_3681 = k6_funct_2(U_3683,U_3682)
| k5_funct_2(U_3683,U_3682,U_3681) != k6_partfun1(U_3683)
| ~ m2_relset_1(U_3681,U_3683,U_3683)
| ~ v3_funct_2(U_3681,U_3683,U_3683)
| ~ v1_funct_2(U_3681,U_3683,U_3683)
| ~ v1_funct_1(U_3681) )
| ~ m2_relset_1(U_3682,U_3683,U_3683)
| ~ v3_funct_2(U_3682,U_3683,U_3683)
| ~ v1_funct_2(U_3682,U_3683,U_3683)
| ~ v1_funct_1(U_3682) ),
inference(variable_rename,[status(thm)],[f_1289_1]) ).
fof(f_1289_3,plain,
! [U_3682,U_3681,U_3683] :
( U_3681 = k6_funct_2(U_3683,U_3682)
| k5_funct_2(U_3683,U_3682,U_3681) != k6_partfun1(U_3683)
| ~ m2_relset_1(U_3681,U_3683,U_3683)
| ~ v3_funct_2(U_3681,U_3683,U_3683)
| ~ v1_funct_2(U_3681,U_3683,U_3683)
| ~ v1_funct_1(U_3681)
| ~ m2_relset_1(U_3682,U_3683,U_3683)
| ~ v3_funct_2(U_3682,U_3683,U_3683)
| ~ v1_funct_2(U_3682,U_3683,U_3683)
| ~ v1_funct_1(U_3682) ),
inference(definitional_conversion,[status(esa)],[f_1289_2]) ).
cnf(f_1289_4,plain,
( U_3681 = k6_funct_2(U_3683,U_3682)
| k5_funct_2(U_3683,U_3682,U_3681) != k6_partfun1(U_3683)
| ~ m2_relset_1(U_3681,U_3683,U_3683)
| ~ v3_funct_2(U_3681,U_3683,U_3683)
| ~ v1_funct_2(U_3681,U_3683,U_3683)
| ~ v1_funct_1(U_3681)
| ~ m2_relset_1(U_3682,U_3683,U_3683)
| ~ v3_funct_2(U_3682,U_3683,U_3683)
| ~ v1_funct_2(U_3682,U_3683,U_3683)
| ~ v1_funct_1(U_3682) ),
inference(clausify,[status(thm)],[f_1289_3]) ).
fof(f_1290_1,plain,
! [A,B] :
( ( k5_funct_2(A,k6_funct_2(A,B),B) = k6_partfun1(A)
& k5_funct_2(A,B,k6_funct_2(A,B)) = k6_partfun1(A) )
| ~ m2_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t88_funct_2]) ).
fof(f_1290_2,plain,
! [U_3685,U_3684] :
( ( k5_funct_2(U_3685,k6_funct_2(U_3685,U_3684),U_3684) = k6_partfun1(U_3685)
& k5_funct_2(U_3685,U_3684,k6_funct_2(U_3685,U_3684)) = k6_partfun1(U_3685) )
| ~ m2_relset_1(U_3684,U_3685,U_3685)
| ~ v3_funct_2(U_3684,U_3685,U_3685)
| ~ v1_funct_2(U_3684,U_3685,U_3685)
| ~ v1_funct_1(U_3684) ),
inference(variable_rename,[status(thm)],[f_1290_1]) ).
fof(f_1290_3,plain,
( ! [U_3685,U_3684] :
( k5_funct_2(U_3685,k6_funct_2(U_3685,U_3684),U_3684) = k6_partfun1(U_3685)
| ~ sP513(U_3685,U_3684) )
& ! [U_3685,U_3684] :
( k5_funct_2(U_3685,U_3684,k6_funct_2(U_3685,U_3684)) = k6_partfun1(U_3685)
| ~ sP513(U_3685,U_3684) )
& ! [U_3685,U_3684] :
( sP513(U_3685,U_3684)
| ~ m2_relset_1(U_3684,U_3685,U_3685)
| ~ v3_funct_2(U_3684,U_3685,U_3685)
| ~ v1_funct_2(U_3684,U_3685,U_3685)
| ~ v1_funct_1(U_3684) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP513])],[f_1290_2]) ).
cnf(f_1290_4,plain,
( sP513(U_3685,U_3684)
| ~ m2_relset_1(U_3684,U_3685,U_3685)
| ~ v3_funct_2(U_3684,U_3685,U_3685)
| ~ v1_funct_2(U_3684,U_3685,U_3685)
| ~ v1_funct_1(U_3684) ),
inference(clausify,[status(thm)],[f_1290_3]) ).
cnf(f_1290_5,plain,
( k5_funct_2(U_3685,U_3684,k6_funct_2(U_3685,U_3684)) = k6_partfun1(U_3685)
| ~ sP513(U_3685,U_3684) ),
inference(clausify,[status(thm)],[f_1290_3]) ).
cnf(f_1290_6,plain,
( k5_funct_2(U_3685,k6_funct_2(U_3685,U_3684),U_3684) = k6_partfun1(U_3685)
| ~ sP513(U_3685,U_3684) ),
inference(clausify,[status(thm)],[f_1290_3]) ).
fof(f_1291_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t89_funct_2]) ).
fof(f_1291_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1291_1]) ).
cnf(f_1291_3,plain,
$true,
inference(clausify,[status(thm)],[f_1291_2]) ).
fof(f_1292_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t90_funct_2]) ).
fof(f_1292_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1292_1]) ).
cnf(f_1292_3,plain,
$true,
inference(clausify,[status(thm)],[f_1292_2]) ).
fof(f_1293_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t91_funct_2]) ).
fof(f_1293_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1293_1]) ).
cnf(f_1293_3,plain,
$true,
inference(clausify,[status(thm)],[f_1293_2]) ).
fof(f_1294_1,plain,
! [A,B,C] :
( ( k3_funct_2(A,A,C,k2_funct_2(A,A,C,B)) = B
& k2_funct_2(A,A,C,k3_funct_2(A,A,C,B)) = B )
| ~ r1_tarski(B,A)
| ~ m2_relset_1(C,A,A)
| ~ v3_funct_2(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t92_funct_2]) ).
fof(f_1294_2,plain,
! [U_3688,U_3687,U_3686] :
( ( k3_funct_2(U_3688,U_3688,U_3686,k2_funct_2(U_3688,U_3688,U_3686,U_3687)) = U_3687
& k2_funct_2(U_3688,U_3688,U_3686,k3_funct_2(U_3688,U_3688,U_3686,U_3687)) = U_3687 )
| ~ r1_tarski(U_3687,U_3688)
| ~ m2_relset_1(U_3686,U_3688,U_3688)
| ~ v3_funct_2(U_3686,U_3688,U_3688)
| ~ v1_funct_2(U_3686,U_3688,U_3688)
| ~ v1_funct_1(U_3686) ),
inference(variable_rename,[status(thm)],[f_1294_1]) ).
fof(f_1294_3,plain,
( ! [U_3687,U_3688,U_3686] :
( k3_funct_2(U_3688,U_3688,U_3686,k2_funct_2(U_3688,U_3688,U_3686,U_3687)) = U_3687
| ~ sP514(U_3687,U_3688,U_3686) )
& ! [U_3687,U_3688,U_3686] :
( k2_funct_2(U_3688,U_3688,U_3686,k3_funct_2(U_3688,U_3688,U_3686,U_3687)) = U_3687
| ~ sP514(U_3687,U_3688,U_3686) )
& ! [U_3687,U_3688,U_3686] :
( sP514(U_3687,U_3688,U_3686)
| ~ r1_tarski(U_3687,U_3688)
| ~ m2_relset_1(U_3686,U_3688,U_3688)
| ~ v3_funct_2(U_3686,U_3688,U_3688)
| ~ v1_funct_2(U_3686,U_3688,U_3688)
| ~ v1_funct_1(U_3686) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP514])],[f_1294_2]) ).
cnf(f_1294_4,plain,
( sP514(U_3687,U_3688,U_3686)
| ~ r1_tarski(U_3687,U_3688)
| ~ m2_relset_1(U_3686,U_3688,U_3688)
| ~ v3_funct_2(U_3686,U_3688,U_3688)
| ~ v1_funct_2(U_3686,U_3688,U_3688)
| ~ v1_funct_1(U_3686) ),
inference(clausify,[status(thm)],[f_1294_3]) ).
cnf(f_1294_5,plain,
( k2_funct_2(U_3688,U_3688,U_3686,k3_funct_2(U_3688,U_3688,U_3686,U_3687)) = U_3687
| ~ sP514(U_3687,U_3688,U_3686) ),
inference(clausify,[status(thm)],[f_1294_3]) ).
cnf(f_1294_6,plain,
( k3_funct_2(U_3688,U_3688,U_3686,k2_funct_2(U_3688,U_3688,U_3686,U_3687)) = U_3687
| ~ sP514(U_3687,U_3688,U_3686) ),
inference(clausify,[status(thm)],[f_1294_3]) ).
fof(f_1295_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t93_funct_2]) ).
fof(f_1295_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1295_1]) ).
cnf(f_1295_3,plain,
$true,
inference(clausify,[status(thm)],[f_1295_2]) ).
fof(f_1296_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t94_funct_2]) ).
fof(f_1296_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1296_1]) ).
cnf(f_1296_3,plain,
$true,
inference(clausify,[status(thm)],[f_1296_2]) ).
fof(f_1297_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t95_funct_2]) ).
fof(f_1297_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1297_1]) ).
cnf(f_1297_3,plain,
$true,
inference(clausify,[status(thm)],[f_1297_2]) ).
fof(f_1298_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t96_funct_2]) ).
fof(f_1298_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1298_1]) ).
cnf(f_1298_3,plain,
$true,
inference(clausify,[status(thm)],[f_1298_2]) ).
fof(f_1299_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t97_funct_2]) ).
fof(f_1299_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1299_1]) ).
cnf(f_1299_3,plain,
$true,
inference(clausify,[status(thm)],[f_1299_2]) ).
fof(f_1300_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t98_funct_2]) ).
fof(f_1300_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1300_1]) ).
cnf(f_1300_3,plain,
$true,
inference(clausify,[status(thm)],[f_1300_2]) ).
fof(f_1301_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t99_funct_2]) ).
fof(f_1301_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1301_1]) ).
cnf(f_1301_3,plain,
$true,
inference(clausify,[status(thm)],[f_1301_2]) ).
fof(f_1302_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t100_funct_2]) ).
fof(f_1302_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1302_1]) ).
cnf(f_1302_3,plain,
$true,
inference(clausify,[status(thm)],[f_1302_2]) ).
fof(f_1303_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t101_funct_2]) ).
fof(f_1303_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1303_1]) ).
cnf(f_1303_3,plain,
$true,
inference(clausify,[status(thm)],[f_1303_2]) ).
fof(f_1304_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t102_funct_2]) ).
fof(f_1304_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1304_1]) ).
cnf(f_1304_3,plain,
$true,
inference(clausify,[status(thm)],[f_1304_2]) ).
fof(f_1305_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t103_funct_2]) ).
fof(f_1305_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1305_1]) ).
cnf(f_1305_3,plain,
$true,
inference(clausify,[status(thm)],[f_1305_2]) ).
fof(f_1306_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t104_funct_2]) ).
fof(f_1306_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1306_1]) ).
cnf(f_1306_3,plain,
$true,
inference(clausify,[status(thm)],[f_1306_2]) ).
fof(f_1307_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t105_funct_2]) ).
fof(f_1307_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1307_1]) ).
cnf(f_1307_3,plain,
$true,
inference(clausify,[status(thm)],[f_1307_2]) ).
fof(f_1308_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t106_funct_2]) ).
fof(f_1308_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1308_1]) ).
cnf(f_1308_3,plain,
$true,
inference(clausify,[status(thm)],[f_1308_2]) ).
fof(f_1309_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t107_funct_2]) ).
fof(f_1309_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1309_1]) ).
cnf(f_1309_3,plain,
$true,
inference(clausify,[status(thm)],[f_1309_2]) ).
fof(f_1310_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t108_funct_2]) ).
fof(f_1310_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1310_1]) ).
cnf(f_1310_3,plain,
$true,
inference(clausify,[status(thm)],[f_1310_2]) ).
fof(f_1311_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t109_funct_2]) ).
fof(f_1311_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1311_1]) ).
cnf(f_1311_3,plain,
$true,
inference(clausify,[status(thm)],[f_1311_2]) ).
fof(f_1312_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t110_funct_2]) ).
fof(f_1312_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1312_1]) ).
cnf(f_1312_3,plain,
$true,
inference(clausify,[status(thm)],[f_1312_2]) ).
fof(f_1313_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t111_funct_2]) ).
fof(f_1313_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1313_1]) ).
cnf(f_1313_3,plain,
$true,
inference(clausify,[status(thm)],[f_1313_2]) ).
fof(f_1314_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t112_funct_2]) ).
fof(f_1314_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1314_1]) ).
cnf(f_1314_3,plain,
$true,
inference(clausify,[status(thm)],[f_1314_2]) ).
fof(f_1315_1,plain,
! [A,B,C] :
( ! [D] :
( C = D
| ? [E] :
( k1_funct_1(C,E) != k1_funct_1(D,E)
& m1_subset_1(E,A) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t113_funct_2]) ).
fof(f_1315_2,plain,
! [U_3693,U_3692,U_3691] :
( ! [U_3690] :
( U_3691 = U_3690
| ? [U_3689] :
( k1_funct_1(U_3691,U_3689) != k1_funct_1(U_3690,U_3689)
& m1_subset_1(U_3689,U_3693) )
| ~ m2_relset_1(U_3690,U_3693,U_3692)
| ~ v1_funct_2(U_3690,U_3693,U_3692)
| ~ v1_funct_1(U_3690) )
| ~ m2_relset_1(U_3691,U_3693,U_3692)
| ~ v1_funct_2(U_3691,U_3693,U_3692)
| ~ v1_funct_1(U_3691) ),
inference(variable_rename,[status(thm)],[f_1315_1]) ).
fof(f_1315_3,plain,
! [U_3693,U_3692,U_3691] :
( ! [U_3690] :
( U_3691 = U_3690
| ( k1_funct_1(U_3691,sK333(U_3693,U_3692,U_3691,U_3690)) != k1_funct_1(U_3690,sK333(U_3693,U_3692,U_3691,U_3690))
& m1_subset_1(sK333(U_3693,U_3692,U_3691,U_3690),U_3693) )
| ~ m2_relset_1(U_3690,U_3693,U_3692)
| ~ v1_funct_2(U_3690,U_3693,U_3692)
| ~ v1_funct_1(U_3690) )
| ~ m2_relset_1(U_3691,U_3693,U_3692)
| ~ v1_funct_2(U_3691,U_3693,U_3692)
| ~ v1_funct_1(U_3691) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK333]),skolemize(U_3689,sK333(U_3693,U_3692,U_3691,U_3690))],[f_1315_2]) ).
fof(f_1315_4,plain,
( ! [U_3690,U_3691,U_3692,U_3693] :
( k1_funct_1(U_3691,sK333(U_3693,U_3692,U_3691,U_3690)) != k1_funct_1(U_3690,sK333(U_3693,U_3692,U_3691,U_3690))
| ~ sP515(U_3690,U_3691,U_3692,U_3693) )
& ! [U_3690,U_3691,U_3692,U_3693] :
( m1_subset_1(sK333(U_3693,U_3692,U_3691,U_3690),U_3693)
| ~ sP515(U_3690,U_3691,U_3692,U_3693) )
& ! [U_3690,U_3691,U_3692,U_3693] :
( U_3691 = U_3690
| sP515(U_3690,U_3691,U_3692,U_3693)
| ~ m2_relset_1(U_3690,U_3693,U_3692)
| ~ v1_funct_2(U_3690,U_3693,U_3692)
| ~ v1_funct_1(U_3690)
| ~ m2_relset_1(U_3691,U_3693,U_3692)
| ~ v1_funct_2(U_3691,U_3693,U_3692)
| ~ v1_funct_1(U_3691) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP515])],[f_1315_3]) ).
cnf(f_1315_5,plain,
( U_3691 = U_3690
| sP515(U_3690,U_3691,U_3692,U_3693)
| ~ m2_relset_1(U_3690,U_3693,U_3692)
| ~ v1_funct_2(U_3690,U_3693,U_3692)
| ~ v1_funct_1(U_3690)
| ~ m2_relset_1(U_3691,U_3693,U_3692)
| ~ v1_funct_2(U_3691,U_3693,U_3692)
| ~ v1_funct_1(U_3691) ),
inference(clausify,[status(thm)],[f_1315_4]) ).
cnf(f_1315_6,plain,
( m1_subset_1(sK333(U_3693,U_3692,U_3691,U_3690),U_3693)
| ~ sP515(U_3690,U_3691,U_3692,U_3693) ),
inference(clausify,[status(thm)],[f_1315_4]) ).
cnf(f_1315_7,plain,
( k1_funct_1(U_3691,sK333(U_3693,U_3692,U_3691,U_3690)) != k1_funct_1(U_3690,sK333(U_3693,U_3692,U_3691,U_3690))
| ~ sP515(U_3690,U_3691,U_3692,U_3693) ),
inference(clausify,[status(thm)],[f_1315_4]) ).
fof(f_1316_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t114_funct_2]) ).
fof(f_1316_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1316_1]) ).
cnf(f_1316_3,plain,
$true,
inference(clausify,[status(thm)],[f_1316_2]) ).
fof(f_1317_1,plain,
! [A,B,C,D] :
( ! [E] :
( ? [F] :
( E = k1_funct_1(D,F)
& r2_hidden(F,C)
& r2_hidden(F,A) )
| ~ r2_hidden(E,k2_funct_2(A,B,D,C)) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t115_funct_2]) ).
fof(f_1317_2,plain,
! [U_3699,U_3698,U_3697,U_3696] :
( ! [U_3695] :
( ? [U_3694] :
( U_3695 = k1_funct_1(U_3696,U_3694)
& r2_hidden(U_3694,U_3697)
& r2_hidden(U_3694,U_3699) )
| ~ r2_hidden(U_3695,k2_funct_2(U_3699,U_3698,U_3696,U_3697)) )
| ~ m2_relset_1(U_3696,U_3699,U_3698)
| ~ v1_funct_2(U_3696,U_3699,U_3698)
| ~ v1_funct_1(U_3696) ),
inference(variable_rename,[status(thm)],[f_1317_1]) ).
fof(f_1317_3,plain,
! [U_3699,U_3698,U_3697,U_3696] :
( ! [U_3695] :
( ( U_3695 = k1_funct_1(U_3696,sK334(U_3699,U_3698,U_3697,U_3696,U_3695))
& r2_hidden(sK334(U_3699,U_3698,U_3697,U_3696,U_3695),U_3697)
& r2_hidden(sK334(U_3699,U_3698,U_3697,U_3696,U_3695),U_3699) )
| ~ r2_hidden(U_3695,k2_funct_2(U_3699,U_3698,U_3696,U_3697)) )
| ~ m2_relset_1(U_3696,U_3699,U_3698)
| ~ v1_funct_2(U_3696,U_3699,U_3698)
| ~ v1_funct_1(U_3696) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK334]),skolemize(U_3694,sK334(U_3699,U_3698,U_3697,U_3696,U_3695))],[f_1317_2]) ).
fof(f_1317_4,plain,
( ! [U_3697,U_3698,U_3695,U_3696,U_3699] :
( U_3695 = k1_funct_1(U_3696,sK334(U_3699,U_3698,U_3697,U_3696,U_3695))
| ~ sP516(U_3697,U_3698,U_3695,U_3696,U_3699) )
& ! [U_3697,U_3698,U_3695,U_3696,U_3699] :
( r2_hidden(sK334(U_3699,U_3698,U_3697,U_3696,U_3695),U_3697)
| ~ sP516(U_3697,U_3698,U_3695,U_3696,U_3699) )
& ! [U_3697,U_3698,U_3695,U_3696,U_3699] :
( r2_hidden(sK334(U_3699,U_3698,U_3697,U_3696,U_3695),U_3699)
| ~ sP516(U_3697,U_3698,U_3695,U_3696,U_3699) )
& ! [U_3697,U_3698,U_3695,U_3696,U_3699] :
( sP516(U_3697,U_3698,U_3695,U_3696,U_3699)
| ~ r2_hidden(U_3695,k2_funct_2(U_3699,U_3698,U_3696,U_3697))
| ~ m2_relset_1(U_3696,U_3699,U_3698)
| ~ v1_funct_2(U_3696,U_3699,U_3698)
| ~ v1_funct_1(U_3696) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP516])],[f_1317_3]) ).
cnf(f_1317_5,plain,
( sP516(U_3697,U_3698,U_3695,U_3696,U_3699)
| ~ r2_hidden(U_3695,k2_funct_2(U_3699,U_3698,U_3696,U_3697))
| ~ m2_relset_1(U_3696,U_3699,U_3698)
| ~ v1_funct_2(U_3696,U_3699,U_3698)
| ~ v1_funct_1(U_3696) ),
inference(clausify,[status(thm)],[f_1317_4]) ).
cnf(f_1317_6,plain,
( r2_hidden(sK334(U_3699,U_3698,U_3697,U_3696,U_3695),U_3699)
| ~ sP516(U_3697,U_3698,U_3695,U_3696,U_3699) ),
inference(clausify,[status(thm)],[f_1317_4]) ).
cnf(f_1317_7,plain,
( r2_hidden(sK334(U_3699,U_3698,U_3697,U_3696,U_3695),U_3697)
| ~ sP516(U_3697,U_3698,U_3695,U_3696,U_3699) ),
inference(clausify,[status(thm)],[f_1317_4]) ).
cnf(f_1317_8,plain,
( U_3695 = k1_funct_1(U_3696,sK334(U_3699,U_3698,U_3697,U_3696,U_3695))
| ~ sP516(U_3697,U_3698,U_3695,U_3696,U_3699) ),
inference(clausify,[status(thm)],[f_1317_4]) ).
fof(f_1318_1,plain,
! [A,B,C,D] :
( ! [E] :
( ? [F] :
( E = k1_funct_1(D,F)
& r2_hidden(F,C)
& m1_subset_1(F,A) )
| ~ r2_hidden(E,k2_funct_2(A,B,D,C)) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t116_funct_2]) ).
fof(f_1318_2,plain,
! [U_3705,U_3704,U_3703,U_3702] :
( ! [U_3701] :
( ? [U_3700] :
( U_3701 = k1_funct_1(U_3702,U_3700)
& r2_hidden(U_3700,U_3703)
& m1_subset_1(U_3700,U_3705) )
| ~ r2_hidden(U_3701,k2_funct_2(U_3705,U_3704,U_3702,U_3703)) )
| ~ m2_relset_1(U_3702,U_3705,U_3704)
| ~ v1_funct_2(U_3702,U_3705,U_3704)
| ~ v1_funct_1(U_3702) ),
inference(variable_rename,[status(thm)],[f_1318_1]) ).
fof(f_1318_3,plain,
! [U_3705,U_3704,U_3703,U_3702] :
( ! [U_3701] :
( ( U_3701 = k1_funct_1(U_3702,sK335(U_3705,U_3704,U_3703,U_3702,U_3701))
& r2_hidden(sK335(U_3705,U_3704,U_3703,U_3702,U_3701),U_3703)
& m1_subset_1(sK335(U_3705,U_3704,U_3703,U_3702,U_3701),U_3705) )
| ~ r2_hidden(U_3701,k2_funct_2(U_3705,U_3704,U_3702,U_3703)) )
| ~ m2_relset_1(U_3702,U_3705,U_3704)
| ~ v1_funct_2(U_3702,U_3705,U_3704)
| ~ v1_funct_1(U_3702) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK335]),skolemize(U_3700,sK335(U_3705,U_3704,U_3703,U_3702,U_3701))],[f_1318_2]) ).
fof(f_1318_4,plain,
( ! [U_3704,U_3702,U_3703,U_3705,U_3701] :
( U_3701 = k1_funct_1(U_3702,sK335(U_3705,U_3704,U_3703,U_3702,U_3701))
| ~ sP517(U_3704,U_3702,U_3703,U_3705,U_3701) )
& ! [U_3704,U_3702,U_3703,U_3705,U_3701] :
( r2_hidden(sK335(U_3705,U_3704,U_3703,U_3702,U_3701),U_3703)
| ~ sP517(U_3704,U_3702,U_3703,U_3705,U_3701) )
& ! [U_3704,U_3702,U_3703,U_3705,U_3701] :
( m1_subset_1(sK335(U_3705,U_3704,U_3703,U_3702,U_3701),U_3705)
| ~ sP517(U_3704,U_3702,U_3703,U_3705,U_3701) )
& ! [U_3704,U_3702,U_3703,U_3705,U_3701] :
( sP517(U_3704,U_3702,U_3703,U_3705,U_3701)
| ~ r2_hidden(U_3701,k2_funct_2(U_3705,U_3704,U_3702,U_3703))
| ~ m2_relset_1(U_3702,U_3705,U_3704)
| ~ v1_funct_2(U_3702,U_3705,U_3704)
| ~ v1_funct_1(U_3702) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP517])],[f_1318_3]) ).
cnf(f_1318_5,plain,
( sP517(U_3704,U_3702,U_3703,U_3705,U_3701)
| ~ r2_hidden(U_3701,k2_funct_2(U_3705,U_3704,U_3702,U_3703))
| ~ m2_relset_1(U_3702,U_3705,U_3704)
| ~ v1_funct_2(U_3702,U_3705,U_3704)
| ~ v1_funct_1(U_3702) ),
inference(clausify,[status(thm)],[f_1318_4]) ).
cnf(f_1318_6,plain,
( m1_subset_1(sK335(U_3705,U_3704,U_3703,U_3702,U_3701),U_3705)
| ~ sP517(U_3704,U_3702,U_3703,U_3705,U_3701) ),
inference(clausify,[status(thm)],[f_1318_4]) ).
cnf(f_1318_7,plain,
( r2_hidden(sK335(U_3705,U_3704,U_3703,U_3702,U_3701),U_3703)
| ~ sP517(U_3704,U_3702,U_3703,U_3705,U_3701) ),
inference(clausify,[status(thm)],[f_1318_4]) ).
cnf(f_1318_8,plain,
( U_3701 = k1_funct_1(U_3702,sK335(U_3705,U_3704,U_3703,U_3702,U_3701))
| ~ sP517(U_3704,U_3702,U_3703,U_3705,U_3701) ),
inference(clausify,[status(thm)],[f_1318_4]) ).
fof(f_1319_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t117_funct_2]) ).
fof(f_1319_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1319_1]) ).
cnf(f_1319_3,plain,
$true,
inference(clausify,[status(thm)],[f_1319_2]) ).
fof(f_1320_1,plain,
! [A,B,C,D] :
( ! [E] :
( D = E
| ? [F,G] :
( k1_funct_1(D,k4_tarski(F,G)) != k1_funct_1(E,k4_tarski(F,G))
& r2_hidden(G,B)
& r2_hidden(F,A) )
| ~ m2_relset_1(E,k2_zfmisc_1(A,B),C)
| ~ v1_funct_2(E,k2_zfmisc_1(A,B),C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,k2_zfmisc_1(A,B),C)
| ~ v1_funct_2(D,k2_zfmisc_1(A,B),C)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t118_funct_2]) ).
fof(f_1320_2,plain,
! [U_3712,U_3711,U_3710,U_3709] :
( ! [U_3708] :
( U_3709 = U_3708
| ? [U_3707,U_3706] :
( k1_funct_1(U_3709,k4_tarski(U_3707,U_3706)) != k1_funct_1(U_3708,k4_tarski(U_3707,U_3706))
& r2_hidden(U_3706,U_3711)
& r2_hidden(U_3707,U_3712) )
| ~ m2_relset_1(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3708) )
| ~ m2_relset_1(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3709) ),
inference(variable_rename,[status(thm)],[f_1320_1]) ).
fof(f_1320_3,plain,
! [U_3712,U_3711,U_3710,U_3709] :
( ! [U_3708] :
( U_3709 = U_3708
| ? [U_3706] :
( k1_funct_1(U_3709,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),U_3706)) != k1_funct_1(U_3708,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),U_3706))
& r2_hidden(U_3706,U_3711)
& r2_hidden(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),U_3712) )
| ~ m2_relset_1(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3708) )
| ~ m2_relset_1(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3709) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK336]),skolemize(U_3707,sK336(U_3712,U_3711,U_3710,U_3709,U_3708))],[f_1320_2]) ).
fof(f_1320_4,plain,
! [U_3712,U_3711,U_3710,U_3709] :
( ! [U_3708] :
( U_3709 = U_3708
| ( k1_funct_1(U_3709,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),sK337(U_3712,U_3711,U_3710,U_3709,U_3708))) != k1_funct_1(U_3708,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),sK337(U_3712,U_3711,U_3710,U_3709,U_3708)))
& r2_hidden(sK337(U_3712,U_3711,U_3710,U_3709,U_3708),U_3711)
& r2_hidden(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),U_3712) )
| ~ m2_relset_1(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3708) )
| ~ m2_relset_1(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3709) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK337]),skolemize(U_3706,sK337(U_3712,U_3711,U_3710,U_3709,U_3708))],[f_1320_3]) ).
fof(f_1320_5,plain,
( ! [U_3709,U_3712,U_3710,U_3708,U_3711] :
( k1_funct_1(U_3709,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),sK337(U_3712,U_3711,U_3710,U_3709,U_3708))) != k1_funct_1(U_3708,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),sK337(U_3712,U_3711,U_3710,U_3709,U_3708)))
| ~ sP518(U_3709,U_3712,U_3710,U_3708,U_3711) )
& ! [U_3709,U_3712,U_3710,U_3708,U_3711] :
( r2_hidden(sK337(U_3712,U_3711,U_3710,U_3709,U_3708),U_3711)
| ~ sP518(U_3709,U_3712,U_3710,U_3708,U_3711) )
& ! [U_3709,U_3712,U_3710,U_3708,U_3711] :
( r2_hidden(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),U_3712)
| ~ sP518(U_3709,U_3712,U_3710,U_3708,U_3711) )
& ! [U_3709,U_3712,U_3710,U_3708,U_3711] :
( U_3709 = U_3708
| sP518(U_3709,U_3712,U_3710,U_3708,U_3711)
| ~ m2_relset_1(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3708)
| ~ m2_relset_1(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3709) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP518])],[f_1320_4]) ).
cnf(f_1320_6,plain,
( U_3709 = U_3708
| sP518(U_3709,U_3712,U_3710,U_3708,U_3711)
| ~ m2_relset_1(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3708,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3708)
| ~ m2_relset_1(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_2(U_3709,k2_zfmisc_1(U_3712,U_3711),U_3710)
| ~ v1_funct_1(U_3709) ),
inference(clausify,[status(thm)],[f_1320_5]) ).
cnf(f_1320_7,plain,
( r2_hidden(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),U_3712)
| ~ sP518(U_3709,U_3712,U_3710,U_3708,U_3711) ),
inference(clausify,[status(thm)],[f_1320_5]) ).
cnf(f_1320_8,plain,
( r2_hidden(sK337(U_3712,U_3711,U_3710,U_3709,U_3708),U_3711)
| ~ sP518(U_3709,U_3712,U_3710,U_3708,U_3711) ),
inference(clausify,[status(thm)],[f_1320_5]) ).
cnf(f_1320_9,plain,
( k1_funct_1(U_3709,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),sK337(U_3712,U_3711,U_3710,U_3709,U_3708))) != k1_funct_1(U_3708,k4_tarski(sK336(U_3712,U_3711,U_3710,U_3709,U_3708),sK337(U_3712,U_3711,U_3710,U_3709,U_3708)))
| ~ sP518(U_3709,U_3712,U_3710,U_3708,U_3711) ),
inference(clausify,[status(thm)],[f_1320_5]) ).
fof(f_1321_1,plain,
! [A,B,C,D,E,F] :
( r2_hidden(k1_funct_1(F,k4_tarski(D,E)),C)
| C = k1_xboole_0
| ~ r2_hidden(E,B)
| ~ r2_hidden(D,A)
| ~ m2_relset_1(F,k2_zfmisc_1(A,B),C)
| ~ v1_funct_2(F,k2_zfmisc_1(A,B),C)
| ~ v1_funct_1(F) ),
inference(fof_nnf,[status(thm)],[t119_funct_2]) ).
fof(f_1321_2,plain,
! [U_3718,U_3717,U_3716,U_3715,U_3714,U_3713] :
( r2_hidden(k1_funct_1(U_3713,k4_tarski(U_3715,U_3714)),U_3716)
| U_3716 = k1_xboole_0
| ~ r2_hidden(U_3714,U_3717)
| ~ r2_hidden(U_3715,U_3718)
| ~ m2_relset_1(U_3713,k2_zfmisc_1(U_3718,U_3717),U_3716)
| ~ v1_funct_2(U_3713,k2_zfmisc_1(U_3718,U_3717),U_3716)
| ~ v1_funct_1(U_3713) ),
inference(variable_rename,[status(thm)],[f_1321_1]) ).
fof(f_1321_3,plain,
! [U_3714,U_3718,U_3713,U_3717,U_3715,U_3716] :
( r2_hidden(k1_funct_1(U_3713,k4_tarski(U_3715,U_3714)),U_3716)
| U_3716 = k1_xboole_0
| ~ r2_hidden(U_3714,U_3717)
| ~ r2_hidden(U_3715,U_3718)
| ~ m2_relset_1(U_3713,k2_zfmisc_1(U_3718,U_3717),U_3716)
| ~ v1_funct_2(U_3713,k2_zfmisc_1(U_3718,U_3717),U_3716)
| ~ v1_funct_1(U_3713) ),
inference(definitional_conversion,[status(esa)],[f_1321_2]) ).
cnf(f_1321_4,plain,
( r2_hidden(k1_funct_1(U_3713,k4_tarski(U_3715,U_3714)),U_3716)
| U_3716 = k1_xboole_0
| ~ r2_hidden(U_3714,U_3717)
| ~ r2_hidden(U_3715,U_3718)
| ~ m2_relset_1(U_3713,k2_zfmisc_1(U_3718,U_3717),U_3716)
| ~ v1_funct_2(U_3713,k2_zfmisc_1(U_3718,U_3717),U_3716)
| ~ v1_funct_1(U_3713) ),
inference(clausify,[status(thm)],[f_1321_3]) ).
fof(f_1322_1,plain,
! [A,B,C,D] :
( ! [E] :
( D = E
| ? [F] :
( ? [G] :
( k1_funct_1(D,k4_tarski(F,G)) != k1_funct_1(E,k4_tarski(F,G))
& m1_subset_1(G,B) )
& m1_subset_1(F,A) )
| ~ m2_relset_1(E,k2_zfmisc_1(A,B),C)
| ~ v1_funct_2(E,k2_zfmisc_1(A,B),C)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,k2_zfmisc_1(A,B),C)
| ~ v1_funct_2(D,k2_zfmisc_1(A,B),C)
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[t120_funct_2]) ).
fof(f_1322_2,plain,
! [U_3725,U_3724,U_3723,U_3722] :
( ! [U_3721] :
( U_3722 = U_3721
| ? [U_3720] :
( ? [U_3719] :
( k1_funct_1(U_3722,k4_tarski(U_3720,U_3719)) != k1_funct_1(U_3721,k4_tarski(U_3720,U_3719))
& m1_subset_1(U_3719,U_3724) )
& m1_subset_1(U_3720,U_3725) )
| ~ m2_relset_1(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3721) )
| ~ m2_relset_1(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3722) ),
inference(variable_rename,[status(thm)],[f_1322_1]) ).
fof(f_1322_3,plain,
! [U_3725,U_3724,U_3723,U_3722] :
( ! [U_3721] :
( U_3722 = U_3721
| ( ? [U_3719] :
( k1_funct_1(U_3722,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),U_3719)) != k1_funct_1(U_3721,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),U_3719))
& m1_subset_1(U_3719,U_3724) )
& m1_subset_1(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),U_3725) )
| ~ m2_relset_1(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3721) )
| ~ m2_relset_1(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3722) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK338]),skolemize(U_3720,sK338(U_3725,U_3724,U_3723,U_3722,U_3721))],[f_1322_2]) ).
fof(f_1322_4,plain,
! [U_3725,U_3724,U_3723,U_3722] :
( ! [U_3721] :
( U_3722 = U_3721
| ( k1_funct_1(U_3722,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),sK339(U_3725,U_3724,U_3723,U_3722,U_3721))) != k1_funct_1(U_3721,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),sK339(U_3725,U_3724,U_3723,U_3722,U_3721)))
& m1_subset_1(sK339(U_3725,U_3724,U_3723,U_3722,U_3721),U_3724)
& m1_subset_1(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),U_3725) )
| ~ m2_relset_1(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3721) )
| ~ m2_relset_1(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3722) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK339]),skolemize(U_3719,sK339(U_3725,U_3724,U_3723,U_3722,U_3721))],[f_1322_3]) ).
fof(f_1322_5,plain,
( ! [U_3725,U_3721,U_3722,U_3723,U_3724] :
( k1_funct_1(U_3722,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),sK339(U_3725,U_3724,U_3723,U_3722,U_3721))) != k1_funct_1(U_3721,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),sK339(U_3725,U_3724,U_3723,U_3722,U_3721)))
| ~ sP519(U_3725,U_3721,U_3722,U_3723,U_3724) )
& ! [U_3725,U_3721,U_3722,U_3723,U_3724] :
( m1_subset_1(sK339(U_3725,U_3724,U_3723,U_3722,U_3721),U_3724)
| ~ sP519(U_3725,U_3721,U_3722,U_3723,U_3724) )
& ! [U_3725,U_3721,U_3722,U_3723,U_3724] :
( m1_subset_1(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),U_3725)
| ~ sP519(U_3725,U_3721,U_3722,U_3723,U_3724) )
& ! [U_3725,U_3721,U_3722,U_3723,U_3724] :
( U_3722 = U_3721
| sP519(U_3725,U_3721,U_3722,U_3723,U_3724)
| ~ m2_relset_1(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3721)
| ~ m2_relset_1(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3722) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP519])],[f_1322_4]) ).
cnf(f_1322_6,plain,
( U_3722 = U_3721
| sP519(U_3725,U_3721,U_3722,U_3723,U_3724)
| ~ m2_relset_1(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3721,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3721)
| ~ m2_relset_1(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_2(U_3722,k2_zfmisc_1(U_3725,U_3724),U_3723)
| ~ v1_funct_1(U_3722) ),
inference(clausify,[status(thm)],[f_1322_5]) ).
cnf(f_1322_7,plain,
( m1_subset_1(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),U_3725)
| ~ sP519(U_3725,U_3721,U_3722,U_3723,U_3724) ),
inference(clausify,[status(thm)],[f_1322_5]) ).
cnf(f_1322_8,plain,
( m1_subset_1(sK339(U_3725,U_3724,U_3723,U_3722,U_3721),U_3724)
| ~ sP519(U_3725,U_3721,U_3722,U_3723,U_3724) ),
inference(clausify,[status(thm)],[f_1322_5]) ).
cnf(f_1322_9,plain,
( k1_funct_1(U_3722,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),sK339(U_3725,U_3724,U_3723,U_3722,U_3721))) != k1_funct_1(U_3721,k4_tarski(sK338(U_3725,U_3724,U_3723,U_3722,U_3721),sK339(U_3725,U_3724,U_3723,U_3722,U_3721)))
| ~ sP519(U_3725,U_3721,U_3722,U_3723,U_3724) ),
inference(clausify,[status(thm)],[f_1322_5]) ).
fof(f_1323_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ~ r2_hidden(C,k1_funct_2(A,B)) ),
inference(fof_nnf,[status(thm)],[t121_funct_2]) ).
fof(f_1323_2,plain,
! [U_3728,U_3727,U_3726] :
( ( m2_relset_1(U_3726,U_3728,U_3727)
& v1_funct_2(U_3726,U_3728,U_3727)
& v1_funct_1(U_3726) )
| ~ r2_hidden(U_3726,k1_funct_2(U_3728,U_3727)) ),
inference(variable_rename,[status(thm)],[f_1323_1]) ).
fof(f_1323_3,plain,
( ! [U_3727,U_3726,U_3728] :
( m2_relset_1(U_3726,U_3728,U_3727)
| ~ sP520(U_3727,U_3726,U_3728) )
& ! [U_3727,U_3726,U_3728] :
( v1_funct_2(U_3726,U_3728,U_3727)
| ~ sP520(U_3727,U_3726,U_3728) )
& ! [U_3727,U_3726,U_3728] :
( v1_funct_1(U_3726)
| ~ sP520(U_3727,U_3726,U_3728) )
& ! [U_3727,U_3726,U_3728] :
( sP520(U_3727,U_3726,U_3728)
| ~ r2_hidden(U_3726,k1_funct_2(U_3728,U_3727)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP520])],[f_1323_2]) ).
cnf(f_1323_4,plain,
( sP520(U_3727,U_3726,U_3728)
| ~ r2_hidden(U_3726,k1_funct_2(U_3728,U_3727)) ),
inference(clausify,[status(thm)],[f_1323_3]) ).
cnf(f_1323_5,plain,
( v1_funct_1(U_3726)
| ~ sP520(U_3727,U_3726,U_3728) ),
inference(clausify,[status(thm)],[f_1323_3]) ).
cnf(f_1323_6,plain,
( v1_funct_2(U_3726,U_3728,U_3727)
| ~ sP520(U_3727,U_3726,U_3728) ),
inference(clausify,[status(thm)],[f_1323_3]) ).
cnf(f_1323_7,plain,
( m2_relset_1(U_3726,U_3728,U_3727)
| ~ sP520(U_3727,U_3726,U_3728) ),
inference(clausify,[status(thm)],[f_1323_3]) ).
fof(f_1324_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t122_funct_2]) ).
fof(f_1324_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1324_1]) ).
cnf(f_1324_3,plain,
$true,
inference(clausify,[status(thm)],[f_1324_2]) ).
fof(f_1325_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t123_funct_2]) ).
fof(f_1325_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1325_1]) ).
cnf(f_1325_3,plain,
$true,
inference(clausify,[status(thm)],[f_1325_2]) ).
fof(f_1326_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t124_funct_2]) ).
fof(f_1326_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1326_1]) ).
cnf(f_1326_3,plain,
$true,
inference(clausify,[status(thm)],[f_1326_2]) ).
fof(f_1327_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t125_funct_2]) ).
fof(f_1327_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1327_1]) ).
cnf(f_1327_3,plain,
$true,
inference(clausify,[status(thm)],[f_1327_2]) ).
fof(f_1328_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t126_funct_2]) ).
fof(f_1328_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1328_1]) ).
cnf(f_1328_3,plain,
$true,
inference(clausify,[status(thm)],[f_1328_2]) ).
fof(f_1329_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t127_funct_2]) ).
fof(f_1329_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1329_1]) ).
cnf(f_1329_3,plain,
$true,
inference(clausify,[status(thm)],[f_1329_2]) ).
fof(f_1330_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t128_funct_2]) ).
fof(f_1330_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1330_1]) ).
cnf(f_1330_3,plain,
$true,
inference(clausify,[status(thm)],[f_1330_2]) ).
fof(f_1331_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t129_funct_2]) ).
fof(f_1331_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1331_1]) ).
cnf(f_1331_3,plain,
$true,
inference(clausify,[status(thm)],[f_1331_2]) ).
fof(f_1332_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
| k4_relset_1(A,B,C) != A
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t130_funct_2]) ).
fof(f_1332_2,plain,
! [U_3731,U_3730,U_3729] :
( ( m2_relset_1(U_3729,U_3731,U_3730)
& v1_funct_2(U_3729,U_3731,U_3730)
& v1_funct_1(U_3729) )
| k4_relset_1(U_3731,U_3730,U_3729) != U_3731
| ~ m2_relset_1(U_3729,U_3731,U_3730)
| ~ v1_funct_1(U_3729) ),
inference(variable_rename,[status(thm)],[f_1332_1]) ).
fof(f_1332_3,plain,
( ! [U_3730,U_3729,U_3731] :
( m2_relset_1(U_3729,U_3731,U_3730)
| ~ sP521(U_3730,U_3729,U_3731) )
& ! [U_3730,U_3729,U_3731] :
( v1_funct_2(U_3729,U_3731,U_3730)
| ~ sP521(U_3730,U_3729,U_3731) )
& ! [U_3730,U_3729,U_3731] :
( v1_funct_1(U_3729)
| ~ sP521(U_3730,U_3729,U_3731) )
& ! [U_3730,U_3729,U_3731] :
( sP521(U_3730,U_3729,U_3731)
| k4_relset_1(U_3731,U_3730,U_3729) != U_3731
| ~ m2_relset_1(U_3729,U_3731,U_3730)
| ~ v1_funct_1(U_3729) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP521])],[f_1332_2]) ).
cnf(f_1332_4,plain,
( sP521(U_3730,U_3729,U_3731)
| k4_relset_1(U_3731,U_3730,U_3729) != U_3731
| ~ m2_relset_1(U_3729,U_3731,U_3730)
| ~ v1_funct_1(U_3729) ),
inference(clausify,[status(thm)],[f_1332_3]) ).
cnf(f_1332_5,plain,
( v1_funct_1(U_3729)
| ~ sP521(U_3730,U_3729,U_3731) ),
inference(clausify,[status(thm)],[f_1332_3]) ).
cnf(f_1332_6,plain,
( v1_funct_2(U_3729,U_3731,U_3730)
| ~ sP521(U_3730,U_3729,U_3731) ),
inference(clausify,[status(thm)],[f_1332_3]) ).
cnf(f_1332_7,plain,
( m2_relset_1(U_3729,U_3731,U_3730)
| ~ sP521(U_3730,U_3729,U_3731) ),
inference(clausify,[status(thm)],[f_1332_3]) ).
fof(f_1333_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ~ v1_partfun1(C,A,B)
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t131_funct_2]) ).
fof(f_1333_2,plain,
! [U_3734,U_3733,U_3732] :
( ( m2_relset_1(U_3732,U_3734,U_3733)
& v1_funct_2(U_3732,U_3734,U_3733)
& v1_funct_1(U_3732) )
| ~ v1_partfun1(U_3732,U_3734,U_3733)
| ~ m2_relset_1(U_3732,U_3734,U_3733)
| ~ v1_funct_1(U_3732) ),
inference(variable_rename,[status(thm)],[f_1333_1]) ).
fof(f_1333_3,plain,
( ! [U_3733,U_3734,U_3732] :
( m2_relset_1(U_3732,U_3734,U_3733)
| ~ sP522(U_3733,U_3734,U_3732) )
& ! [U_3733,U_3734,U_3732] :
( v1_funct_2(U_3732,U_3734,U_3733)
| ~ sP522(U_3733,U_3734,U_3732) )
& ! [U_3733,U_3734,U_3732] :
( v1_funct_1(U_3732)
| ~ sP522(U_3733,U_3734,U_3732) )
& ! [U_3733,U_3734,U_3732] :
( sP522(U_3733,U_3734,U_3732)
| ~ v1_partfun1(U_3732,U_3734,U_3733)
| ~ m2_relset_1(U_3732,U_3734,U_3733)
| ~ v1_funct_1(U_3732) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP522])],[f_1333_2]) ).
cnf(f_1333_4,plain,
( sP522(U_3733,U_3734,U_3732)
| ~ v1_partfun1(U_3732,U_3734,U_3733)
| ~ m2_relset_1(U_3732,U_3734,U_3733)
| ~ v1_funct_1(U_3732) ),
inference(clausify,[status(thm)],[f_1333_3]) ).
cnf(f_1333_5,plain,
( v1_funct_1(U_3732)
| ~ sP522(U_3733,U_3734,U_3732) ),
inference(clausify,[status(thm)],[f_1333_3]) ).
cnf(f_1333_6,plain,
( v1_funct_2(U_3732,U_3734,U_3733)
| ~ sP522(U_3733,U_3734,U_3732) ),
inference(clausify,[status(thm)],[f_1333_3]) ).
cnf(f_1333_7,plain,
( m2_relset_1(U_3732,U_3734,U_3733)
| ~ sP522(U_3733,U_3734,U_3732) ),
inference(clausify,[status(thm)],[f_1333_3]) ).
fof(f_1334_1,plain,
! [A,B,C] :
( v1_partfun1(C,A,B)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t132_funct_2]) ).
fof(f_1334_2,plain,
! [U_3737,U_3736,U_3735] :
( v1_partfun1(U_3735,U_3737,U_3736)
| ( U_3737 != k1_xboole_0
& U_3736 = k1_xboole_0 )
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_2(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735)
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735) ),
inference(variable_rename,[status(thm)],[f_1334_1]) ).
fof(f_1334_3,plain,
( ! [U_3737,U_3736] :
( U_3737 != k1_xboole_0
| ~ sP523(U_3737,U_3736) )
& ! [U_3737,U_3736] :
( U_3736 = k1_xboole_0
| ~ sP523(U_3737,U_3736) )
& ! [U_3737,U_3736,U_3735] :
( v1_partfun1(U_3735,U_3737,U_3736)
| sP523(U_3737,U_3736)
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_2(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735)
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP523])],[f_1334_2]) ).
cnf(f_1334_4,plain,
( v1_partfun1(U_3735,U_3737,U_3736)
| sP523(U_3737,U_3736)
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_2(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735)
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735) ),
inference(clausify,[status(thm)],[f_1334_3]) ).
cnf(f_1334_5,plain,
( U_3736 = k1_xboole_0
| ~ sP523(U_3737,U_3736) ),
inference(clausify,[status(thm)],[f_1334_3]) ).
cnf(f_1334_6,plain,
( U_3737 != k1_xboole_0
| ~ sP523(U_3737,U_3736) ),
inference(clausify,[status(thm)],[f_1334_3]) ).
fof(f_1335_1,plain,
! [A,B,C] :
( v1_partfun1(k3_partfun1(C,A,B),A,B)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t133_funct_2]) ).
fof(f_1335_2,plain,
! [U_3740,U_3739,U_3738] :
( v1_partfun1(k3_partfun1(U_3738,U_3740,U_3739),U_3740,U_3739)
| ( U_3740 != k1_xboole_0
& U_3739 = k1_xboole_0 )
| ~ m2_relset_1(U_3738,U_3740,U_3739)
| ~ v1_funct_2(U_3738,U_3740,U_3739)
| ~ v1_funct_1(U_3738) ),
inference(variable_rename,[status(thm)],[f_1335_1]) ).
fof(f_1335_3,plain,
( ! [U_3739,U_3740] :
( U_3740 != k1_xboole_0
| ~ sP524(U_3739,U_3740) )
& ! [U_3739,U_3740] :
( U_3739 = k1_xboole_0
| ~ sP524(U_3739,U_3740) )
& ! [U_3739,U_3740,U_3738] :
( v1_partfun1(k3_partfun1(U_3738,U_3740,U_3739),U_3740,U_3739)
| sP524(U_3739,U_3740)
| ~ m2_relset_1(U_3738,U_3740,U_3739)
| ~ v1_funct_2(U_3738,U_3740,U_3739)
| ~ v1_funct_1(U_3738) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP524])],[f_1335_2]) ).
cnf(f_1335_4,plain,
( v1_partfun1(k3_partfun1(U_3738,U_3740,U_3739),U_3740,U_3739)
| sP524(U_3739,U_3740)
| ~ m2_relset_1(U_3738,U_3740,U_3739)
| ~ v1_funct_2(U_3738,U_3740,U_3739)
| ~ v1_funct_1(U_3738) ),
inference(clausify,[status(thm)],[f_1335_3]) ).
cnf(f_1335_5,plain,
( U_3739 = k1_xboole_0
| ~ sP524(U_3739,U_3740) ),
inference(clausify,[status(thm)],[f_1335_3]) ).
cnf(f_1335_6,plain,
( U_3740 != k1_xboole_0
| ~ sP524(U_3739,U_3740) ),
inference(clausify,[status(thm)],[f_1335_3]) ).
fof(f_1336_1,plain,
! [A,B] :
( v1_partfun1(k3_partfun1(B,A,A),A,A)
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t134_funct_2]) ).
fof(f_1336_2,plain,
! [U_3742,U_3741] :
( v1_partfun1(k3_partfun1(U_3741,U_3742,U_3742),U_3742,U_3742)
| ~ m2_relset_1(U_3741,U_3742,U_3742)
| ~ v1_funct_2(U_3741,U_3742,U_3742)
| ~ v1_funct_1(U_3741) ),
inference(variable_rename,[status(thm)],[f_1336_1]) ).
fof(f_1336_3,plain,
! [U_3742,U_3741] :
( v1_partfun1(k3_partfun1(U_3741,U_3742,U_3742),U_3742,U_3742)
| ~ m2_relset_1(U_3741,U_3742,U_3742)
| ~ v1_funct_2(U_3741,U_3742,U_3742)
| ~ v1_funct_1(U_3741) ),
inference(definitional_conversion,[status(esa)],[f_1336_2]) ).
cnf(f_1336_4,plain,
( v1_partfun1(k3_partfun1(U_3741,U_3742,U_3742),U_3742,U_3742)
| ~ m2_relset_1(U_3741,U_3742,U_3742)
| ~ v1_funct_2(U_3741,U_3742,U_3742)
| ~ v1_funct_1(U_3741) ),
inference(clausify,[status(thm)],[f_1336_3]) ).
fof(f_1337_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t135_funct_2]) ).
fof(f_1337_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1337_1]) ).
cnf(f_1337_3,plain,
$true,
inference(clausify,[status(thm)],[f_1337_2]) ).
fof(f_1338_1,plain,
! [A,B,C] :
( ? [D] :
( ! [E] :
( k1_funct_1(D,E) = k1_funct_1(C,E)
| ~ r2_hidden(E,k4_relset_1(A,B,C)) )
& m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t136_funct_2]) ).
fof(f_1338_2,plain,
! [U_3747,U_3746,U_3745] :
( ? [U_3744] :
( ! [U_3743] :
( k1_funct_1(U_3744,U_3743) = k1_funct_1(U_3745,U_3743)
| ~ r2_hidden(U_3743,k4_relset_1(U_3747,U_3746,U_3745)) )
& m2_relset_1(U_3744,U_3747,U_3746)
& v1_funct_2(U_3744,U_3747,U_3746)
& v1_funct_1(U_3744) )
| ( U_3747 != k1_xboole_0
& U_3746 = k1_xboole_0 )
| ~ m2_relset_1(U_3745,U_3747,U_3746)
| ~ v1_funct_1(U_3745) ),
inference(variable_rename,[status(thm)],[f_1338_1]) ).
fof(f_1338_3,plain,
! [U_3747,U_3746,U_3745] :
( ( ! [U_3743] :
( k1_funct_1(sK340(U_3747,U_3746,U_3745),U_3743) = k1_funct_1(U_3745,U_3743)
| ~ r2_hidden(U_3743,k4_relset_1(U_3747,U_3746,U_3745)) )
& m2_relset_1(sK340(U_3747,U_3746,U_3745),U_3747,U_3746)
& v1_funct_2(sK340(U_3747,U_3746,U_3745),U_3747,U_3746)
& v1_funct_1(sK340(U_3747,U_3746,U_3745)) )
| ( U_3747 != k1_xboole_0
& U_3746 = k1_xboole_0 )
| ~ m2_relset_1(U_3745,U_3747,U_3746)
| ~ v1_funct_1(U_3745) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK340]),skolemize(U_3744,sK340(U_3747,U_3746,U_3745))],[f_1338_2]) ).
fof(f_1338_4,plain,
( ! [U_3743,U_3745,U_3746,U_3747] :
( k1_funct_1(sK340(U_3747,U_3746,U_3745),U_3743) = k1_funct_1(U_3745,U_3743)
| ~ r2_hidden(U_3743,k4_relset_1(U_3747,U_3746,U_3745))
| ~ sP526(U_3743,U_3745,U_3746,U_3747) )
& ! [U_3743,U_3745,U_3746,U_3747] :
( m2_relset_1(sK340(U_3747,U_3746,U_3745),U_3747,U_3746)
| ~ sP526(U_3743,U_3745,U_3746,U_3747) )
& ! [U_3743,U_3745,U_3746,U_3747] :
( v1_funct_2(sK340(U_3747,U_3746,U_3745),U_3747,U_3746)
| ~ sP526(U_3743,U_3745,U_3746,U_3747) )
& ! [U_3743,U_3745,U_3746,U_3747] :
( v1_funct_1(sK340(U_3747,U_3746,U_3745))
| ~ sP526(U_3743,U_3745,U_3746,U_3747) )
& ! [U_3746,U_3747] :
( U_3747 != k1_xboole_0
| ~ sP525(U_3746,U_3747) )
& ! [U_3746,U_3747] :
( U_3746 = k1_xboole_0
| ~ sP525(U_3746,U_3747) )
& ! [U_3743,U_3745,U_3746,U_3747] :
( sP526(U_3743,U_3745,U_3746,U_3747)
| sP525(U_3746,U_3747)
| ~ m2_relset_1(U_3745,U_3747,U_3746)
| ~ v1_funct_1(U_3745) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP525,sP526])],[f_1338_3]) ).
cnf(f_1338_5,plain,
( sP526(U_3743,U_3745,U_3746,U_3747)
| sP525(U_3746,U_3747)
| ~ m2_relset_1(U_3745,U_3747,U_3746)
| ~ v1_funct_1(U_3745) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
cnf(f_1338_6,plain,
( U_3746 = k1_xboole_0
| ~ sP525(U_3746,U_3747) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
cnf(f_1338_7,plain,
( U_3747 != k1_xboole_0
| ~ sP525(U_3746,U_3747) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
cnf(f_1338_8,plain,
( v1_funct_1(sK340(U_3747,U_3746,U_3745))
| ~ sP526(U_3743,U_3745,U_3746,U_3747) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
cnf(f_1338_9,plain,
( v1_funct_2(sK340(U_3747,U_3746,U_3745),U_3747,U_3746)
| ~ sP526(U_3743,U_3745,U_3746,U_3747) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
cnf(f_1338_10,plain,
( m2_relset_1(sK340(U_3747,U_3746,U_3745),U_3747,U_3746)
| ~ sP526(U_3743,U_3745,U_3746,U_3747) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
cnf(f_1338_11,plain,
( k1_funct_1(sK340(U_3747,U_3746,U_3745),U_3743) = k1_funct_1(U_3745,U_3743)
| ~ r2_hidden(U_3743,k4_relset_1(U_3747,U_3746,U_3745))
| ~ sP526(U_3743,U_3745,U_3746,U_3747) ),
inference(clausify,[status(thm)],[f_1338_4]) ).
fof(f_1339_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t137_funct_2]) ).
fof(f_1339_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1339_1]) ).
cnf(f_1339_3,plain,
$true,
inference(clausify,[status(thm)],[f_1339_2]) ).
fof(f_1340_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t138_funct_2]) ).
fof(f_1340_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1340_1]) ).
cnf(f_1340_3,plain,
$true,
inference(clausify,[status(thm)],[f_1340_2]) ).
fof(f_1341_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t139_funct_2]) ).
fof(f_1341_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1341_1]) ).
cnf(f_1341_3,plain,
$true,
inference(clausify,[status(thm)],[f_1341_2]) ).
fof(f_1342_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t140_funct_2]) ).
fof(f_1342_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1342_1]) ).
cnf(f_1342_3,plain,
$true,
inference(clausify,[status(thm)],[f_1342_2]) ).
fof(f_1343_1,plain,
! [A,B] : r1_tarski(k1_funct_2(A,B),k4_partfun1(A,B)),
inference(fof_nnf,[status(thm)],[t141_funct_2]) ).
fof(f_1343_2,plain,
! [U_3749,U_3748] : r1_tarski(k1_funct_2(U_3749,U_3748),k4_partfun1(U_3749,U_3748)),
inference(variable_rename,[status(thm)],[f_1343_1]) ).
fof(f_1343_3,plain,
! [U_3749,U_3748] : r1_tarski(k1_funct_2(U_3749,U_3748),k4_partfun1(U_3749,U_3748)),
inference(definitional_conversion,[status(esa)],[f_1343_2]) ).
cnf(f_1343_4,plain,
r1_tarski(k1_funct_2(U_3749,U_3748),k4_partfun1(U_3749,U_3748)),
inference(clausify,[status(thm)],[f_1343_3]) ).
fof(f_1344_1,plain,
! [A,B,C] :
( ! [D] :
( C = D
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_partfun1(C,D)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t142_funct_2]) ).
fof(f_1344_2,plain,
! [U_3753,U_3752,U_3751] :
( ! [U_3750] :
( U_3751 = U_3750
| ( U_3753 != k1_xboole_0
& U_3752 = k1_xboole_0 )
| ~ r1_partfun1(U_3751,U_3750)
| ~ m2_relset_1(U_3750,U_3753,U_3752)
| ~ v1_funct_2(U_3750,U_3753,U_3752)
| ~ v1_funct_1(U_3750) )
| ~ m2_relset_1(U_3751,U_3753,U_3752)
| ~ v1_funct_2(U_3751,U_3753,U_3752)
| ~ v1_funct_1(U_3751) ),
inference(variable_rename,[status(thm)],[f_1344_1]) ).
fof(f_1344_3,plain,
( ! [U_3752,U_3753] :
( U_3753 != k1_xboole_0
| ~ sP527(U_3752,U_3753) )
& ! [U_3752,U_3753] :
( U_3752 = k1_xboole_0
| ~ sP527(U_3752,U_3753) )
& ! [U_3751,U_3752,U_3750,U_3753] :
( U_3751 = U_3750
| sP527(U_3752,U_3753)
| ~ r1_partfun1(U_3751,U_3750)
| ~ m2_relset_1(U_3750,U_3753,U_3752)
| ~ v1_funct_2(U_3750,U_3753,U_3752)
| ~ v1_funct_1(U_3750)
| ~ m2_relset_1(U_3751,U_3753,U_3752)
| ~ v1_funct_2(U_3751,U_3753,U_3752)
| ~ v1_funct_1(U_3751) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP527])],[f_1344_2]) ).
cnf(f_1344_4,plain,
( U_3751 = U_3750
| sP527(U_3752,U_3753)
| ~ r1_partfun1(U_3751,U_3750)
| ~ m2_relset_1(U_3750,U_3753,U_3752)
| ~ v1_funct_2(U_3750,U_3753,U_3752)
| ~ v1_funct_1(U_3750)
| ~ m2_relset_1(U_3751,U_3753,U_3752)
| ~ v1_funct_2(U_3751,U_3753,U_3752)
| ~ v1_funct_1(U_3751) ),
inference(clausify,[status(thm)],[f_1344_3]) ).
cnf(f_1344_5,plain,
( U_3752 = k1_xboole_0
| ~ sP527(U_3752,U_3753) ),
inference(clausify,[status(thm)],[f_1344_3]) ).
cnf(f_1344_6,plain,
( U_3753 != k1_xboole_0
| ~ sP527(U_3752,U_3753) ),
inference(clausify,[status(thm)],[f_1344_3]) ).
fof(f_1345_1,plain,
! [A,B] :
( ! [C] :
( B = C
| ~ r1_partfun1(B,C)
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t143_funct_2]) ).
fof(f_1345_2,plain,
! [U_3756,U_3755] :
( ! [U_3754] :
( U_3755 = U_3754
| ~ r1_partfun1(U_3755,U_3754)
| ~ m2_relset_1(U_3754,U_3756,U_3756)
| ~ v1_funct_2(U_3754,U_3756,U_3756)
| ~ v1_funct_1(U_3754) )
| ~ m2_relset_1(U_3755,U_3756,U_3756)
| ~ v1_funct_2(U_3755,U_3756,U_3756)
| ~ v1_funct_1(U_3755) ),
inference(variable_rename,[status(thm)],[f_1345_1]) ).
fof(f_1345_3,plain,
! [U_3754,U_3755,U_3756] :
( U_3755 = U_3754
| ~ r1_partfun1(U_3755,U_3754)
| ~ m2_relset_1(U_3754,U_3756,U_3756)
| ~ v1_funct_2(U_3754,U_3756,U_3756)
| ~ v1_funct_1(U_3754)
| ~ m2_relset_1(U_3755,U_3756,U_3756)
| ~ v1_funct_2(U_3755,U_3756,U_3756)
| ~ v1_funct_1(U_3755) ),
inference(definitional_conversion,[status(esa)],[f_1345_2]) ).
cnf(f_1345_4,plain,
( U_3755 = U_3754
| ~ r1_partfun1(U_3755,U_3754)
| ~ m2_relset_1(U_3754,U_3756,U_3756)
| ~ v1_funct_2(U_3754,U_3756,U_3756)
| ~ v1_funct_1(U_3754)
| ~ m2_relset_1(U_3755,U_3756,U_3756)
| ~ v1_funct_2(U_3755,U_3756,U_3756)
| ~ v1_funct_1(U_3755) ),
inference(clausify,[status(thm)],[f_1345_3]) ).
fof(f_1346_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t144_funct_2]) ).
fof(f_1346_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1346_1]) ).
cnf(f_1346_3,plain,
$true,
inference(clausify,[status(thm)],[f_1346_2]) ).
fof(f_1347_1,plain,
! [A,B,C] :
( ! [D] :
( ( ( r1_partfun1(C,D)
| ? [E] :
( k1_funct_1(C,E) != k1_funct_1(D,E)
& r2_hidden(E,k4_relset_1(A,B,C)) ) )
& ( ! [E] :
( k1_funct_1(C,E) = k1_funct_1(D,E)
| ~ r2_hidden(E,k4_relset_1(A,B,C)) )
| ~ r1_partfun1(C,D) ) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t145_funct_2]) ).
fof(f_1347_2,plain,
! [U_3762,U_3761,U_3760] :
( ! [U_3759] :
( ( ( r1_partfun1(U_3760,U_3759)
| ? [U_3758] :
( k1_funct_1(U_3760,U_3758) != k1_funct_1(U_3759,U_3758)
& r2_hidden(U_3758,k4_relset_1(U_3762,U_3761,U_3760)) ) )
& ( ! [U_3757] :
( k1_funct_1(U_3760,U_3757) = k1_funct_1(U_3759,U_3757)
| ~ r2_hidden(U_3757,k4_relset_1(U_3762,U_3761,U_3760)) )
| ~ r1_partfun1(U_3760,U_3759) ) )
| ( U_3762 != k1_xboole_0
& U_3761 = k1_xboole_0 )
| ~ m2_relset_1(U_3759,U_3762,U_3761)
| ~ v1_funct_2(U_3759,U_3762,U_3761)
| ~ v1_funct_1(U_3759) )
| ~ m2_relset_1(U_3760,U_3762,U_3761)
| ~ v1_funct_1(U_3760) ),
inference(variable_rename,[status(thm)],[f_1347_1]) ).
fof(f_1347_3,plain,
! [U_3762,U_3761,U_3760] :
( ! [U_3759] :
( ( ( r1_partfun1(U_3760,U_3759)
| ( k1_funct_1(U_3760,sK341(U_3762,U_3761,U_3760,U_3759)) != k1_funct_1(U_3759,sK341(U_3762,U_3761,U_3760,U_3759))
& r2_hidden(sK341(U_3762,U_3761,U_3760,U_3759),k4_relset_1(U_3762,U_3761,U_3760)) ) )
& ( ! [U_3757] :
( k1_funct_1(U_3760,U_3757) = k1_funct_1(U_3759,U_3757)
| ~ r2_hidden(U_3757,k4_relset_1(U_3762,U_3761,U_3760)) )
| ~ r1_partfun1(U_3760,U_3759) ) )
| ( U_3762 != k1_xboole_0
& U_3761 = k1_xboole_0 )
| ~ m2_relset_1(U_3759,U_3762,U_3761)
| ~ v1_funct_2(U_3759,U_3762,U_3761)
| ~ v1_funct_1(U_3759) )
| ~ m2_relset_1(U_3760,U_3762,U_3761)
| ~ v1_funct_1(U_3760) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK341]),skolemize(U_3758,sK341(U_3762,U_3761,U_3760,U_3759))],[f_1347_2]) ).
fof(f_1347_4,plain,
( ! [U_3759,U_3760,U_3761,U_3762] :
( k1_funct_1(U_3760,sK341(U_3762,U_3761,U_3760,U_3759)) != k1_funct_1(U_3759,sK341(U_3762,U_3761,U_3760,U_3759))
| ~ sP529(U_3759,U_3760,U_3761,U_3762) )
& ! [U_3759,U_3760,U_3761,U_3762] :
( r2_hidden(sK341(U_3762,U_3761,U_3760,U_3759),k4_relset_1(U_3762,U_3761,U_3760))
| ~ sP529(U_3759,U_3760,U_3761,U_3762) )
& ! [U_3757,U_3759,U_3760,U_3761,U_3762] :
( r1_partfun1(U_3760,U_3759)
| sP529(U_3759,U_3760,U_3761,U_3762)
| ~ sP530(U_3757,U_3759,U_3760,U_3761,U_3762) )
& ! [U_3757,U_3759,U_3760,U_3761,U_3762] :
( k1_funct_1(U_3760,U_3757) = k1_funct_1(U_3759,U_3757)
| ~ r2_hidden(U_3757,k4_relset_1(U_3762,U_3761,U_3760))
| ~ r1_partfun1(U_3760,U_3759)
| ~ sP530(U_3757,U_3759,U_3760,U_3761,U_3762) )
& ! [U_3761,U_3762] :
( U_3762 != k1_xboole_0
| ~ sP528(U_3761,U_3762) )
& ! [U_3761,U_3762] :
( U_3761 = k1_xboole_0
| ~ sP528(U_3761,U_3762) )
& ! [U_3757,U_3759,U_3760,U_3761,U_3762] :
( sP530(U_3757,U_3759,U_3760,U_3761,U_3762)
| sP528(U_3761,U_3762)
| ~ m2_relset_1(U_3759,U_3762,U_3761)
| ~ v1_funct_2(U_3759,U_3762,U_3761)
| ~ v1_funct_1(U_3759)
| ~ m2_relset_1(U_3760,U_3762,U_3761)
| ~ v1_funct_1(U_3760) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP528,sP529,sP530])],[f_1347_3]) ).
cnf(f_1347_5,plain,
( sP530(U_3757,U_3759,U_3760,U_3761,U_3762)
| sP528(U_3761,U_3762)
| ~ m2_relset_1(U_3759,U_3762,U_3761)
| ~ v1_funct_2(U_3759,U_3762,U_3761)
| ~ v1_funct_1(U_3759)
| ~ m2_relset_1(U_3760,U_3762,U_3761)
| ~ v1_funct_1(U_3760) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
cnf(f_1347_6,plain,
( U_3761 = k1_xboole_0
| ~ sP528(U_3761,U_3762) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
cnf(f_1347_7,plain,
( U_3762 != k1_xboole_0
| ~ sP528(U_3761,U_3762) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
cnf(f_1347_8,plain,
( k1_funct_1(U_3760,U_3757) = k1_funct_1(U_3759,U_3757)
| ~ r2_hidden(U_3757,k4_relset_1(U_3762,U_3761,U_3760))
| ~ r1_partfun1(U_3760,U_3759)
| ~ sP530(U_3757,U_3759,U_3760,U_3761,U_3762) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
cnf(f_1347_9,plain,
( r1_partfun1(U_3760,U_3759)
| sP529(U_3759,U_3760,U_3761,U_3762)
| ~ sP530(U_3757,U_3759,U_3760,U_3761,U_3762) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
cnf(f_1347_10,plain,
( r2_hidden(sK341(U_3762,U_3761,U_3760,U_3759),k4_relset_1(U_3762,U_3761,U_3760))
| ~ sP529(U_3759,U_3760,U_3761,U_3762) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
cnf(f_1347_11,plain,
( k1_funct_1(U_3760,sK341(U_3762,U_3761,U_3760,U_3759)) != k1_funct_1(U_3759,sK341(U_3762,U_3761,U_3760,U_3759))
| ~ sP529(U_3759,U_3760,U_3761,U_3762) ),
inference(clausify,[status(thm)],[f_1347_4]) ).
fof(f_1348_1,plain,
! [A,B] :
( ! [C] :
( ( ( r1_partfun1(B,C)
| ? [D] :
( k1_funct_1(B,D) != k1_funct_1(C,D)
& r2_hidden(D,k4_relset_1(A,A,B)) ) )
& ( ! [D] :
( k1_funct_1(B,D) = k1_funct_1(C,D)
| ~ r2_hidden(D,k4_relset_1(A,A,B)) )
| ~ r1_partfun1(B,C) ) )
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t146_funct_2]) ).
fof(f_1348_2,plain,
! [U_3767,U_3766] :
( ! [U_3765] :
( ( ( r1_partfun1(U_3766,U_3765)
| ? [U_3764] :
( k1_funct_1(U_3766,U_3764) != k1_funct_1(U_3765,U_3764)
& r2_hidden(U_3764,k4_relset_1(U_3767,U_3767,U_3766)) ) )
& ( ! [U_3763] :
( k1_funct_1(U_3766,U_3763) = k1_funct_1(U_3765,U_3763)
| ~ r2_hidden(U_3763,k4_relset_1(U_3767,U_3767,U_3766)) )
| ~ r1_partfun1(U_3766,U_3765) ) )
| ~ m2_relset_1(U_3765,U_3767,U_3767)
| ~ v1_funct_2(U_3765,U_3767,U_3767)
| ~ v1_funct_1(U_3765) )
| ~ m2_relset_1(U_3766,U_3767,U_3767)
| ~ v1_funct_1(U_3766) ),
inference(variable_rename,[status(thm)],[f_1348_1]) ).
fof(f_1348_3,plain,
! [U_3767,U_3766] :
( ! [U_3765] :
( ( ( r1_partfun1(U_3766,U_3765)
| ( k1_funct_1(U_3766,sK342(U_3767,U_3766,U_3765)) != k1_funct_1(U_3765,sK342(U_3767,U_3766,U_3765))
& r2_hidden(sK342(U_3767,U_3766,U_3765),k4_relset_1(U_3767,U_3767,U_3766)) ) )
& ( ! [U_3763] :
( k1_funct_1(U_3766,U_3763) = k1_funct_1(U_3765,U_3763)
| ~ r2_hidden(U_3763,k4_relset_1(U_3767,U_3767,U_3766)) )
| ~ r1_partfun1(U_3766,U_3765) ) )
| ~ m2_relset_1(U_3765,U_3767,U_3767)
| ~ v1_funct_2(U_3765,U_3767,U_3767)
| ~ v1_funct_1(U_3765) )
| ~ m2_relset_1(U_3766,U_3767,U_3767)
| ~ v1_funct_1(U_3766) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK342]),skolemize(U_3764,sK342(U_3767,U_3766,U_3765))],[f_1348_2]) ).
fof(f_1348_4,plain,
( ! [U_3766,U_3767,U_3765] :
( k1_funct_1(U_3766,sK342(U_3767,U_3766,U_3765)) != k1_funct_1(U_3765,sK342(U_3767,U_3766,U_3765))
| ~ sP531(U_3766,U_3767,U_3765) )
& ! [U_3766,U_3767,U_3765] :
( r2_hidden(sK342(U_3767,U_3766,U_3765),k4_relset_1(U_3767,U_3767,U_3766))
| ~ sP531(U_3766,U_3767,U_3765) )
& ! [U_3763,U_3766,U_3767,U_3765] :
( r1_partfun1(U_3766,U_3765)
| sP531(U_3766,U_3767,U_3765)
| ~ sP532(U_3763,U_3766,U_3767,U_3765) )
& ! [U_3763,U_3766,U_3767,U_3765] :
( k1_funct_1(U_3766,U_3763) = k1_funct_1(U_3765,U_3763)
| ~ r2_hidden(U_3763,k4_relset_1(U_3767,U_3767,U_3766))
| ~ r1_partfun1(U_3766,U_3765)
| ~ sP532(U_3763,U_3766,U_3767,U_3765) )
& ! [U_3763,U_3766,U_3767,U_3765] :
( sP532(U_3763,U_3766,U_3767,U_3765)
| ~ m2_relset_1(U_3765,U_3767,U_3767)
| ~ v1_funct_2(U_3765,U_3767,U_3767)
| ~ v1_funct_1(U_3765)
| ~ m2_relset_1(U_3766,U_3767,U_3767)
| ~ v1_funct_1(U_3766) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP531,sP532])],[f_1348_3]) ).
cnf(f_1348_5,plain,
( sP532(U_3763,U_3766,U_3767,U_3765)
| ~ m2_relset_1(U_3765,U_3767,U_3767)
| ~ v1_funct_2(U_3765,U_3767,U_3767)
| ~ v1_funct_1(U_3765)
| ~ m2_relset_1(U_3766,U_3767,U_3767)
| ~ v1_funct_1(U_3766) ),
inference(clausify,[status(thm)],[f_1348_4]) ).
cnf(f_1348_6,plain,
( k1_funct_1(U_3766,U_3763) = k1_funct_1(U_3765,U_3763)
| ~ r2_hidden(U_3763,k4_relset_1(U_3767,U_3767,U_3766))
| ~ r1_partfun1(U_3766,U_3765)
| ~ sP532(U_3763,U_3766,U_3767,U_3765) ),
inference(clausify,[status(thm)],[f_1348_4]) ).
cnf(f_1348_7,plain,
( r1_partfun1(U_3766,U_3765)
| sP531(U_3766,U_3767,U_3765)
| ~ sP532(U_3763,U_3766,U_3767,U_3765) ),
inference(clausify,[status(thm)],[f_1348_4]) ).
cnf(f_1348_8,plain,
( r2_hidden(sK342(U_3767,U_3766,U_3765),k4_relset_1(U_3767,U_3767,U_3766))
| ~ sP531(U_3766,U_3767,U_3765) ),
inference(clausify,[status(thm)],[f_1348_4]) ).
cnf(f_1348_9,plain,
( k1_funct_1(U_3766,sK342(U_3767,U_3766,U_3765)) != k1_funct_1(U_3765,sK342(U_3767,U_3766,U_3765))
| ~ sP531(U_3766,U_3767,U_3765) ),
inference(clausify,[status(thm)],[f_1348_4]) ).
fof(f_1349_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t147_funct_2]) ).
fof(f_1349_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1349_1]) ).
cnf(f_1349_3,plain,
$true,
inference(clausify,[status(thm)],[f_1349_2]) ).
fof(f_1350_1,plain,
! [A,B,C] :
( ? [D] :
( r1_partfun1(C,D)
& m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t148_funct_2]) ).
fof(f_1350_2,plain,
! [U_3771,U_3770,U_3769] :
( ? [U_3768] :
( r1_partfun1(U_3769,U_3768)
& m2_relset_1(U_3768,U_3771,U_3770)
& v1_funct_2(U_3768,U_3771,U_3770)
& v1_funct_1(U_3768) )
| ( U_3771 != k1_xboole_0
& U_3770 = k1_xboole_0 )
| ~ m2_relset_1(U_3769,U_3771,U_3770)
| ~ v1_funct_1(U_3769) ),
inference(variable_rename,[status(thm)],[f_1350_1]) ).
fof(f_1350_3,plain,
! [U_3771,U_3770,U_3769] :
( ( r1_partfun1(U_3769,sK343(U_3771,U_3770,U_3769))
& m2_relset_1(sK343(U_3771,U_3770,U_3769),U_3771,U_3770)
& v1_funct_2(sK343(U_3771,U_3770,U_3769),U_3771,U_3770)
& v1_funct_1(sK343(U_3771,U_3770,U_3769)) )
| ( U_3771 != k1_xboole_0
& U_3770 = k1_xboole_0 )
| ~ m2_relset_1(U_3769,U_3771,U_3770)
| ~ v1_funct_1(U_3769) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK343]),skolemize(U_3768,sK343(U_3771,U_3770,U_3769))],[f_1350_2]) ).
fof(f_1350_4,plain,
( ! [U_3769,U_3770,U_3771] :
( r1_partfun1(U_3769,sK343(U_3771,U_3770,U_3769))
| ~ sP534(U_3769,U_3770,U_3771) )
& ! [U_3769,U_3770,U_3771] :
( m2_relset_1(sK343(U_3771,U_3770,U_3769),U_3771,U_3770)
| ~ sP534(U_3769,U_3770,U_3771) )
& ! [U_3769,U_3770,U_3771] :
( v1_funct_2(sK343(U_3771,U_3770,U_3769),U_3771,U_3770)
| ~ sP534(U_3769,U_3770,U_3771) )
& ! [U_3769,U_3770,U_3771] :
( v1_funct_1(sK343(U_3771,U_3770,U_3769))
| ~ sP534(U_3769,U_3770,U_3771) )
& ! [U_3770,U_3771] :
( U_3771 != k1_xboole_0
| ~ sP533(U_3770,U_3771) )
& ! [U_3770,U_3771] :
( U_3770 = k1_xboole_0
| ~ sP533(U_3770,U_3771) )
& ! [U_3769,U_3770,U_3771] :
( sP534(U_3769,U_3770,U_3771)
| sP533(U_3770,U_3771)
| ~ m2_relset_1(U_3769,U_3771,U_3770)
| ~ v1_funct_1(U_3769) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP533,sP534])],[f_1350_3]) ).
cnf(f_1350_5,plain,
( sP534(U_3769,U_3770,U_3771)
| sP533(U_3770,U_3771)
| ~ m2_relset_1(U_3769,U_3771,U_3770)
| ~ v1_funct_1(U_3769) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
cnf(f_1350_6,plain,
( U_3770 = k1_xboole_0
| ~ sP533(U_3770,U_3771) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
cnf(f_1350_7,plain,
( U_3771 != k1_xboole_0
| ~ sP533(U_3770,U_3771) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
cnf(f_1350_8,plain,
( v1_funct_1(sK343(U_3771,U_3770,U_3769))
| ~ sP534(U_3769,U_3770,U_3771) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
cnf(f_1350_9,plain,
( v1_funct_2(sK343(U_3771,U_3770,U_3769),U_3771,U_3770)
| ~ sP534(U_3769,U_3770,U_3771) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
cnf(f_1350_10,plain,
( m2_relset_1(sK343(U_3771,U_3770,U_3769),U_3771,U_3770)
| ~ sP534(U_3769,U_3770,U_3771) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
cnf(f_1350_11,plain,
( r1_partfun1(U_3769,sK343(U_3771,U_3770,U_3769))
| ~ sP534(U_3769,U_3770,U_3771) ),
inference(clausify,[status(thm)],[f_1350_4]) ).
fof(f_1351_1,plain,
! [A,B] :
( ? [C] :
( r1_partfun1(B,C)
& m2_relset_1(C,A,A)
& v1_funct_2(C,A,A)
& v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t149_funct_2]) ).
fof(f_1351_2,plain,
! [U_3774,U_3773] :
( ? [U_3772] :
( r1_partfun1(U_3773,U_3772)
& m2_relset_1(U_3772,U_3774,U_3774)
& v1_funct_2(U_3772,U_3774,U_3774)
& v1_funct_1(U_3772) )
| ~ m2_relset_1(U_3773,U_3774,U_3774)
| ~ v1_funct_1(U_3773) ),
inference(variable_rename,[status(thm)],[f_1351_1]) ).
fof(f_1351_3,plain,
! [U_3774,U_3773] :
( ( r1_partfun1(U_3773,sK344(U_3774,U_3773))
& m2_relset_1(sK344(U_3774,U_3773),U_3774,U_3774)
& v1_funct_2(sK344(U_3774,U_3773),U_3774,U_3774)
& v1_funct_1(sK344(U_3774,U_3773)) )
| ~ m2_relset_1(U_3773,U_3774,U_3774)
| ~ v1_funct_1(U_3773) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK344]),skolemize(U_3772,sK344(U_3774,U_3773))],[f_1351_2]) ).
fof(f_1351_4,plain,
( ! [U_3773,U_3774] :
( r1_partfun1(U_3773,sK344(U_3774,U_3773))
| ~ sP535(U_3773,U_3774) )
& ! [U_3773,U_3774] :
( m2_relset_1(sK344(U_3774,U_3773),U_3774,U_3774)
| ~ sP535(U_3773,U_3774) )
& ! [U_3773,U_3774] :
( v1_funct_2(sK344(U_3774,U_3773),U_3774,U_3774)
| ~ sP535(U_3773,U_3774) )
& ! [U_3773,U_3774] :
( v1_funct_1(sK344(U_3774,U_3773))
| ~ sP535(U_3773,U_3774) )
& ! [U_3773,U_3774] :
( sP535(U_3773,U_3774)
| ~ m2_relset_1(U_3773,U_3774,U_3774)
| ~ v1_funct_1(U_3773) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP535])],[f_1351_3]) ).
cnf(f_1351_5,plain,
( sP535(U_3773,U_3774)
| ~ m2_relset_1(U_3773,U_3774,U_3774)
| ~ v1_funct_1(U_3773) ),
inference(clausify,[status(thm)],[f_1351_4]) ).
cnf(f_1351_6,plain,
( v1_funct_1(sK344(U_3774,U_3773))
| ~ sP535(U_3773,U_3774) ),
inference(clausify,[status(thm)],[f_1351_4]) ).
cnf(f_1351_7,plain,
( v1_funct_2(sK344(U_3774,U_3773),U_3774,U_3774)
| ~ sP535(U_3773,U_3774) ),
inference(clausify,[status(thm)],[f_1351_4]) ).
cnf(f_1351_8,plain,
( m2_relset_1(sK344(U_3774,U_3773),U_3774,U_3774)
| ~ sP535(U_3773,U_3774) ),
inference(clausify,[status(thm)],[f_1351_4]) ).
cnf(f_1351_9,plain,
( r1_partfun1(U_3773,sK344(U_3774,U_3773))
| ~ sP535(U_3773,U_3774) ),
inference(clausify,[status(thm)],[f_1351_4]) ).
fof(f_1352_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t150_funct_2]) ).
fof(f_1352_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1352_1]) ).
cnf(f_1352_3,plain,
$true,
inference(clausify,[status(thm)],[f_1352_2]) ).
fof(f_1353_1,plain,
! [A,B,C] :
( ! [D] :
( ! [E] :
( r1_partfun1(C,D)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_partfun1(D,E)
| ~ r1_partfun1(C,E)
| ~ m2_relset_1(E,A,B)
| ~ v1_funct_2(E,A,B)
| ~ v1_funct_1(E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t151_funct_2]) ).
fof(f_1353_2,plain,
! [U_3779,U_3778,U_3777] :
( ! [U_3776] :
( ! [U_3775] :
( r1_partfun1(U_3777,U_3776)
| ( U_3779 != k1_xboole_0
& U_3778 = k1_xboole_0 )
| ~ r1_partfun1(U_3776,U_3775)
| ~ r1_partfun1(U_3777,U_3775)
| ~ m2_relset_1(U_3775,U_3779,U_3778)
| ~ v1_funct_2(U_3775,U_3779,U_3778)
| ~ v1_funct_1(U_3775) )
| ~ m2_relset_1(U_3776,U_3779,U_3778)
| ~ v1_funct_1(U_3776) )
| ~ m2_relset_1(U_3777,U_3779,U_3778)
| ~ v1_funct_1(U_3777) ),
inference(variable_rename,[status(thm)],[f_1353_1]) ).
fof(f_1353_3,plain,
( ! [U_3778,U_3779] :
( U_3779 != k1_xboole_0
| ~ sP536(U_3778,U_3779) )
& ! [U_3778,U_3779] :
( U_3778 = k1_xboole_0
| ~ sP536(U_3778,U_3779) )
& ! [U_3777,U_3775,U_3778,U_3776,U_3779] :
( r1_partfun1(U_3777,U_3776)
| sP536(U_3778,U_3779)
| ~ r1_partfun1(U_3776,U_3775)
| ~ r1_partfun1(U_3777,U_3775)
| ~ m2_relset_1(U_3775,U_3779,U_3778)
| ~ v1_funct_2(U_3775,U_3779,U_3778)
| ~ v1_funct_1(U_3775)
| ~ m2_relset_1(U_3776,U_3779,U_3778)
| ~ v1_funct_1(U_3776)
| ~ m2_relset_1(U_3777,U_3779,U_3778)
| ~ v1_funct_1(U_3777) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP536])],[f_1353_2]) ).
cnf(f_1353_4,plain,
( r1_partfun1(U_3777,U_3776)
| sP536(U_3778,U_3779)
| ~ r1_partfun1(U_3776,U_3775)
| ~ r1_partfun1(U_3777,U_3775)
| ~ m2_relset_1(U_3775,U_3779,U_3778)
| ~ v1_funct_2(U_3775,U_3779,U_3778)
| ~ v1_funct_1(U_3775)
| ~ m2_relset_1(U_3776,U_3779,U_3778)
| ~ v1_funct_1(U_3776)
| ~ m2_relset_1(U_3777,U_3779,U_3778)
| ~ v1_funct_1(U_3777) ),
inference(clausify,[status(thm)],[f_1353_3]) ).
cnf(f_1353_5,plain,
( U_3778 = k1_xboole_0
| ~ sP536(U_3778,U_3779) ),
inference(clausify,[status(thm)],[f_1353_3]) ).
cnf(f_1353_6,plain,
( U_3779 != k1_xboole_0
| ~ sP536(U_3778,U_3779) ),
inference(clausify,[status(thm)],[f_1353_3]) ).
fof(f_1354_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( r1_partfun1(B,C)
| ~ r1_partfun1(C,D)
| ~ r1_partfun1(B,D)
| ~ m2_relset_1(D,A,A)
| ~ v1_funct_2(D,A,A)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t152_funct_2]) ).
fof(f_1354_2,plain,
! [U_3783,U_3782] :
( ! [U_3781] :
( ! [U_3780] :
( r1_partfun1(U_3782,U_3781)
| ~ r1_partfun1(U_3781,U_3780)
| ~ r1_partfun1(U_3782,U_3780)
| ~ m2_relset_1(U_3780,U_3783,U_3783)
| ~ v1_funct_2(U_3780,U_3783,U_3783)
| ~ v1_funct_1(U_3780) )
| ~ m2_relset_1(U_3781,U_3783,U_3783)
| ~ v1_funct_1(U_3781) )
| ~ m2_relset_1(U_3782,U_3783,U_3783)
| ~ v1_funct_1(U_3782) ),
inference(variable_rename,[status(thm)],[f_1354_1]) ).
fof(f_1354_3,plain,
! [U_3783,U_3781,U_3782,U_3780] :
( r1_partfun1(U_3782,U_3781)
| ~ r1_partfun1(U_3781,U_3780)
| ~ r1_partfun1(U_3782,U_3780)
| ~ m2_relset_1(U_3780,U_3783,U_3783)
| ~ v1_funct_2(U_3780,U_3783,U_3783)
| ~ v1_funct_1(U_3780)
| ~ m2_relset_1(U_3781,U_3783,U_3783)
| ~ v1_funct_1(U_3781)
| ~ m2_relset_1(U_3782,U_3783,U_3783)
| ~ v1_funct_1(U_3782) ),
inference(definitional_conversion,[status(esa)],[f_1354_2]) ).
cnf(f_1354_4,plain,
( r1_partfun1(U_3782,U_3781)
| ~ r1_partfun1(U_3781,U_3780)
| ~ r1_partfun1(U_3782,U_3780)
| ~ m2_relset_1(U_3780,U_3783,U_3783)
| ~ v1_funct_2(U_3780,U_3783,U_3783)
| ~ v1_funct_1(U_3780)
| ~ m2_relset_1(U_3781,U_3783,U_3783)
| ~ v1_funct_1(U_3781)
| ~ m2_relset_1(U_3782,U_3783,U_3783)
| ~ v1_funct_1(U_3782) ),
inference(clausify,[status(thm)],[f_1354_3]) ).
fof(f_1355_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t153_funct_2]) ).
fof(f_1355_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1355_1]) ).
cnf(f_1355_3,plain,
$true,
inference(clausify,[status(thm)],[f_1355_2]) ).
fof(f_1356_1,plain,
! [A,B,C] :
( ! [D] :
( ? [E] :
( r1_partfun1(D,E)
& r1_partfun1(C,E)
& m2_relset_1(E,A,B)
& v1_funct_2(E,A,B)
& v1_funct_1(E) )
| ~ r1_partfun1(C,D)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t154_funct_2]) ).
fof(f_1356_2,plain,
! [U_3788,U_3787,U_3786] :
( ! [U_3785] :
( ? [U_3784] :
( r1_partfun1(U_3785,U_3784)
& r1_partfun1(U_3786,U_3784)
& m2_relset_1(U_3784,U_3788,U_3787)
& v1_funct_2(U_3784,U_3788,U_3787)
& v1_funct_1(U_3784) )
| ~ r1_partfun1(U_3786,U_3785)
| ( U_3788 != k1_xboole_0
& U_3787 = k1_xboole_0 )
| ~ m2_relset_1(U_3785,U_3788,U_3787)
| ~ v1_funct_1(U_3785) )
| ~ m2_relset_1(U_3786,U_3788,U_3787)
| ~ v1_funct_1(U_3786) ),
inference(variable_rename,[status(thm)],[f_1356_1]) ).
fof(f_1356_3,plain,
! [U_3788,U_3787,U_3786] :
( ! [U_3785] :
( ( r1_partfun1(U_3785,sK345(U_3788,U_3787,U_3786,U_3785))
& r1_partfun1(U_3786,sK345(U_3788,U_3787,U_3786,U_3785))
& m2_relset_1(sK345(U_3788,U_3787,U_3786,U_3785),U_3788,U_3787)
& v1_funct_2(sK345(U_3788,U_3787,U_3786,U_3785),U_3788,U_3787)
& v1_funct_1(sK345(U_3788,U_3787,U_3786,U_3785)) )
| ~ r1_partfun1(U_3786,U_3785)
| ( U_3788 != k1_xboole_0
& U_3787 = k1_xboole_0 )
| ~ m2_relset_1(U_3785,U_3788,U_3787)
| ~ v1_funct_1(U_3785) )
| ~ m2_relset_1(U_3786,U_3788,U_3787)
| ~ v1_funct_1(U_3786) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK345]),skolemize(U_3784,sK345(U_3788,U_3787,U_3786,U_3785))],[f_1356_2]) ).
fof(f_1356_4,plain,
( ! [U_3788,U_3787,U_3785,U_3786] :
( r1_partfun1(U_3785,sK345(U_3788,U_3787,U_3786,U_3785))
| ~ sP538(U_3788,U_3787,U_3785,U_3786) )
& ! [U_3788,U_3787,U_3785,U_3786] :
( r1_partfun1(U_3786,sK345(U_3788,U_3787,U_3786,U_3785))
| ~ sP538(U_3788,U_3787,U_3785,U_3786) )
& ! [U_3788,U_3787,U_3785,U_3786] :
( m2_relset_1(sK345(U_3788,U_3787,U_3786,U_3785),U_3788,U_3787)
| ~ sP538(U_3788,U_3787,U_3785,U_3786) )
& ! [U_3788,U_3787,U_3785,U_3786] :
( v1_funct_2(sK345(U_3788,U_3787,U_3786,U_3785),U_3788,U_3787)
| ~ sP538(U_3788,U_3787,U_3785,U_3786) )
& ! [U_3788,U_3787,U_3785,U_3786] :
( v1_funct_1(sK345(U_3788,U_3787,U_3786,U_3785))
| ~ sP538(U_3788,U_3787,U_3785,U_3786) )
& ! [U_3788,U_3787] :
( U_3788 != k1_xboole_0
| ~ sP537(U_3788,U_3787) )
& ! [U_3788,U_3787] :
( U_3787 = k1_xboole_0
| ~ sP537(U_3788,U_3787) )
& ! [U_3788,U_3787,U_3785,U_3786] :
( sP538(U_3788,U_3787,U_3785,U_3786)
| ~ r1_partfun1(U_3786,U_3785)
| sP537(U_3788,U_3787)
| ~ m2_relset_1(U_3785,U_3788,U_3787)
| ~ v1_funct_1(U_3785)
| ~ m2_relset_1(U_3786,U_3788,U_3787)
| ~ v1_funct_1(U_3786) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP537,sP538])],[f_1356_3]) ).
cnf(f_1356_5,plain,
( sP538(U_3788,U_3787,U_3785,U_3786)
| ~ r1_partfun1(U_3786,U_3785)
| sP537(U_3788,U_3787)
| ~ m2_relset_1(U_3785,U_3788,U_3787)
| ~ v1_funct_1(U_3785)
| ~ m2_relset_1(U_3786,U_3788,U_3787)
| ~ v1_funct_1(U_3786) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_6,plain,
( U_3787 = k1_xboole_0
| ~ sP537(U_3788,U_3787) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_7,plain,
( U_3788 != k1_xboole_0
| ~ sP537(U_3788,U_3787) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_8,plain,
( v1_funct_1(sK345(U_3788,U_3787,U_3786,U_3785))
| ~ sP538(U_3788,U_3787,U_3785,U_3786) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_9,plain,
( v1_funct_2(sK345(U_3788,U_3787,U_3786,U_3785),U_3788,U_3787)
| ~ sP538(U_3788,U_3787,U_3785,U_3786) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_10,plain,
( m2_relset_1(sK345(U_3788,U_3787,U_3786,U_3785),U_3788,U_3787)
| ~ sP538(U_3788,U_3787,U_3785,U_3786) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_11,plain,
( r1_partfun1(U_3786,sK345(U_3788,U_3787,U_3786,U_3785))
| ~ sP538(U_3788,U_3787,U_3785,U_3786) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
cnf(f_1356_12,plain,
( r1_partfun1(U_3785,sK345(U_3788,U_3787,U_3786,U_3785))
| ~ sP538(U_3788,U_3787,U_3785,U_3786) ),
inference(clausify,[status(thm)],[f_1356_4]) ).
fof(f_1357_1,plain,
! [A,B,C] :
( ! [D] :
( r2_hidden(D,k5_partfun1(A,B,C))
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ r1_partfun1(C,D)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t155_funct_2]) ).
fof(f_1357_2,plain,
! [U_3792,U_3791,U_3790] :
( ! [U_3789] :
( r2_hidden(U_3789,k5_partfun1(U_3792,U_3791,U_3790))
| ( U_3792 != k1_xboole_0
& U_3791 = k1_xboole_0 )
| ~ r1_partfun1(U_3790,U_3789)
| ~ m2_relset_1(U_3789,U_3792,U_3791)
| ~ v1_funct_2(U_3789,U_3792,U_3791)
| ~ v1_funct_1(U_3789) )
| ~ m2_relset_1(U_3790,U_3792,U_3791)
| ~ v1_funct_1(U_3790) ),
inference(variable_rename,[status(thm)],[f_1357_1]) ).
fof(f_1357_3,plain,
( ! [U_3791,U_3792] :
( U_3792 != k1_xboole_0
| ~ sP539(U_3791,U_3792) )
& ! [U_3791,U_3792] :
( U_3791 = k1_xboole_0
| ~ sP539(U_3791,U_3792) )
& ! [U_3791,U_3790,U_3792,U_3789] :
( r2_hidden(U_3789,k5_partfun1(U_3792,U_3791,U_3790))
| sP539(U_3791,U_3792)
| ~ r1_partfun1(U_3790,U_3789)
| ~ m2_relset_1(U_3789,U_3792,U_3791)
| ~ v1_funct_2(U_3789,U_3792,U_3791)
| ~ v1_funct_1(U_3789)
| ~ m2_relset_1(U_3790,U_3792,U_3791)
| ~ v1_funct_1(U_3790) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP539])],[f_1357_2]) ).
cnf(f_1357_4,plain,
( r2_hidden(U_3789,k5_partfun1(U_3792,U_3791,U_3790))
| sP539(U_3791,U_3792)
| ~ r1_partfun1(U_3790,U_3789)
| ~ m2_relset_1(U_3789,U_3792,U_3791)
| ~ v1_funct_2(U_3789,U_3792,U_3791)
| ~ v1_funct_1(U_3789)
| ~ m2_relset_1(U_3790,U_3792,U_3791)
| ~ v1_funct_1(U_3790) ),
inference(clausify,[status(thm)],[f_1357_3]) ).
cnf(f_1357_5,plain,
( U_3791 = k1_xboole_0
| ~ sP539(U_3791,U_3792) ),
inference(clausify,[status(thm)],[f_1357_3]) ).
cnf(f_1357_6,plain,
( U_3792 != k1_xboole_0
| ~ sP539(U_3791,U_3792) ),
inference(clausify,[status(thm)],[f_1357_3]) ).
fof(f_1358_1,plain,
! [A,B] :
( ! [C] :
( r2_hidden(C,k5_partfun1(A,A,B))
| ~ r1_partfun1(B,C)
| ~ m2_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C) )
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t156_funct_2]) ).
fof(f_1358_2,plain,
! [U_3795,U_3794] :
( ! [U_3793] :
( r2_hidden(U_3793,k5_partfun1(U_3795,U_3795,U_3794))
| ~ r1_partfun1(U_3794,U_3793)
| ~ m2_relset_1(U_3793,U_3795,U_3795)
| ~ v1_funct_2(U_3793,U_3795,U_3795)
| ~ v1_funct_1(U_3793) )
| ~ m2_relset_1(U_3794,U_3795,U_3795)
| ~ v1_funct_1(U_3794) ),
inference(variable_rename,[status(thm)],[f_1358_1]) ).
fof(f_1358_3,plain,
! [U_3795,U_3794,U_3793] :
( r2_hidden(U_3793,k5_partfun1(U_3795,U_3795,U_3794))
| ~ r1_partfun1(U_3794,U_3793)
| ~ m2_relset_1(U_3793,U_3795,U_3795)
| ~ v1_funct_2(U_3793,U_3795,U_3795)
| ~ v1_funct_1(U_3793)
| ~ m2_relset_1(U_3794,U_3795,U_3795)
| ~ v1_funct_1(U_3794) ),
inference(definitional_conversion,[status(esa)],[f_1358_2]) ).
cnf(f_1358_4,plain,
( r2_hidden(U_3793,k5_partfun1(U_3795,U_3795,U_3794))
| ~ r1_partfun1(U_3794,U_3793)
| ~ m2_relset_1(U_3793,U_3795,U_3795)
| ~ v1_funct_2(U_3793,U_3795,U_3795)
| ~ v1_funct_1(U_3793)
| ~ m2_relset_1(U_3794,U_3795,U_3795)
| ~ v1_funct_1(U_3794) ),
inference(clausify,[status(thm)],[f_1358_3]) ).
fof(f_1359_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t157_funct_2]) ).
fof(f_1359_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1359_1]) ).
cnf(f_1359_3,plain,
$true,
inference(clausify,[status(thm)],[f_1359_2]) ).
fof(f_1360_1,plain,
! [A,B,C] :
( ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
| ~ r2_hidden(D,k5_partfun1(A,B,C)) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t158_funct_2]) ).
fof(f_1360_2,plain,
! [U_3799,U_3798,U_3797] :
( ! [U_3796] :
( ( m2_relset_1(U_3796,U_3799,U_3798)
& v1_funct_2(U_3796,U_3799,U_3798)
& v1_funct_1(U_3796) )
| ~ r2_hidden(U_3796,k5_partfun1(U_3799,U_3798,U_3797)) )
| ~ m2_relset_1(U_3797,U_3799,U_3798)
| ~ v1_funct_1(U_3797) ),
inference(variable_rename,[status(thm)],[f_1360_1]) ).
fof(f_1360_3,plain,
( ! [U_3796,U_3799,U_3798] :
( m2_relset_1(U_3796,U_3799,U_3798)
| ~ sP540(U_3796,U_3799,U_3798) )
& ! [U_3796,U_3799,U_3798] :
( v1_funct_2(U_3796,U_3799,U_3798)
| ~ sP540(U_3796,U_3799,U_3798) )
& ! [U_3796,U_3799,U_3798] :
( v1_funct_1(U_3796)
| ~ sP540(U_3796,U_3799,U_3798) )
& ! [U_3796,U_3799,U_3797,U_3798] :
( sP540(U_3796,U_3799,U_3798)
| ~ r2_hidden(U_3796,k5_partfun1(U_3799,U_3798,U_3797))
| ~ m2_relset_1(U_3797,U_3799,U_3798)
| ~ v1_funct_1(U_3797) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP540])],[f_1360_2]) ).
cnf(f_1360_4,plain,
( sP540(U_3796,U_3799,U_3798)
| ~ r2_hidden(U_3796,k5_partfun1(U_3799,U_3798,U_3797))
| ~ m2_relset_1(U_3797,U_3799,U_3798)
| ~ v1_funct_1(U_3797) ),
inference(clausify,[status(thm)],[f_1360_3]) ).
cnf(f_1360_5,plain,
( v1_funct_1(U_3796)
| ~ sP540(U_3796,U_3799,U_3798) ),
inference(clausify,[status(thm)],[f_1360_3]) ).
cnf(f_1360_6,plain,
( v1_funct_2(U_3796,U_3799,U_3798)
| ~ sP540(U_3796,U_3799,U_3798) ),
inference(clausify,[status(thm)],[f_1360_3]) ).
cnf(f_1360_7,plain,
( m2_relset_1(U_3796,U_3799,U_3798)
| ~ sP540(U_3796,U_3799,U_3798) ),
inference(clausify,[status(thm)],[f_1360_3]) ).
fof(f_1361_1,plain,
! [A,B,C] :
( r1_tarski(k5_partfun1(A,B,C),k1_funct_2(A,B))
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t159_funct_2]) ).
fof(f_1361_2,plain,
! [U_3802,U_3801,U_3800] :
( r1_tarski(k5_partfun1(U_3802,U_3801,U_3800),k1_funct_2(U_3802,U_3801))
| ~ m2_relset_1(U_3800,U_3802,U_3801)
| ~ v1_funct_1(U_3800) ),
inference(variable_rename,[status(thm)],[f_1361_1]) ).
fof(f_1361_3,plain,
! [U_3802,U_3801,U_3800] :
( r1_tarski(k5_partfun1(U_3802,U_3801,U_3800),k1_funct_2(U_3802,U_3801))
| ~ m2_relset_1(U_3800,U_3802,U_3801)
| ~ v1_funct_1(U_3800) ),
inference(definitional_conversion,[status(esa)],[f_1361_2]) ).
cnf(f_1361_4,plain,
( r1_tarski(k5_partfun1(U_3802,U_3801,U_3800),k1_funct_2(U_3802,U_3801))
| ~ m2_relset_1(U_3800,U_3802,U_3801)
| ~ v1_funct_1(U_3800) ),
inference(clausify,[status(thm)],[f_1361_3]) ).
fof(f_1362_1,plain,
! [A,B] : k5_partfun1(A,B,k3_partfun1(k1_xboole_0,A,B)) = k1_funct_2(A,B),
inference(fof_nnf,[status(thm)],[t160_funct_2]) ).
fof(f_1362_2,plain,
! [U_3804,U_3803] : k5_partfun1(U_3804,U_3803,k3_partfun1(k1_xboole_0,U_3804,U_3803)) = k1_funct_2(U_3804,U_3803),
inference(variable_rename,[status(thm)],[f_1362_1]) ).
fof(f_1362_3,plain,
! [U_3804,U_3803] : k5_partfun1(U_3804,U_3803,k3_partfun1(k1_xboole_0,U_3804,U_3803)) = k1_funct_2(U_3804,U_3803),
inference(definitional_conversion,[status(esa)],[f_1362_2]) ).
cnf(f_1362_4,plain,
k5_partfun1(U_3804,U_3803,k3_partfun1(k1_xboole_0,U_3804,U_3803)) = k1_funct_2(U_3804,U_3803),
inference(clausify,[status(thm)],[f_1362_3]) ).
fof(f_1363_1,plain,
! [A,B,C] :
( k5_partfun1(A,B,k3_partfun1(C,A,B)) = k1_tarski(C)
| ( A != k1_xboole_0
& B = k1_xboole_0 )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t161_funct_2]) ).
fof(f_1363_2,plain,
! [U_3807,U_3806,U_3805] :
( k5_partfun1(U_3807,U_3806,k3_partfun1(U_3805,U_3807,U_3806)) = k1_tarski(U_3805)
| ( U_3807 != k1_xboole_0
& U_3806 = k1_xboole_0 )
| ~ m2_relset_1(U_3805,U_3807,U_3806)
| ~ v1_funct_2(U_3805,U_3807,U_3806)
| ~ v1_funct_1(U_3805) ),
inference(variable_rename,[status(thm)],[f_1363_1]) ).
fof(f_1363_3,plain,
( ! [U_3806,U_3807] :
( U_3807 != k1_xboole_0
| ~ sP541(U_3806,U_3807) )
& ! [U_3806,U_3807] :
( U_3806 = k1_xboole_0
| ~ sP541(U_3806,U_3807) )
& ! [U_3805,U_3806,U_3807] :
( k5_partfun1(U_3807,U_3806,k3_partfun1(U_3805,U_3807,U_3806)) = k1_tarski(U_3805)
| sP541(U_3806,U_3807)
| ~ m2_relset_1(U_3805,U_3807,U_3806)
| ~ v1_funct_2(U_3805,U_3807,U_3806)
| ~ v1_funct_1(U_3805) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP541])],[f_1363_2]) ).
cnf(f_1363_4,plain,
( k5_partfun1(U_3807,U_3806,k3_partfun1(U_3805,U_3807,U_3806)) = k1_tarski(U_3805)
| sP541(U_3806,U_3807)
| ~ m2_relset_1(U_3805,U_3807,U_3806)
| ~ v1_funct_2(U_3805,U_3807,U_3806)
| ~ v1_funct_1(U_3805) ),
inference(clausify,[status(thm)],[f_1363_3]) ).
cnf(f_1363_5,plain,
( U_3806 = k1_xboole_0
| ~ sP541(U_3806,U_3807) ),
inference(clausify,[status(thm)],[f_1363_3]) ).
cnf(f_1363_6,plain,
( U_3807 != k1_xboole_0
| ~ sP541(U_3806,U_3807) ),
inference(clausify,[status(thm)],[f_1363_3]) ).
fof(f_1364_1,plain,
! [A,B] :
( k5_partfun1(A,A,k3_partfun1(B,A,A)) = k1_tarski(B)
| ~ m2_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[t162_funct_2]) ).
fof(f_1364_2,plain,
! [U_3809,U_3808] :
( k5_partfun1(U_3809,U_3809,k3_partfun1(U_3808,U_3809,U_3809)) = k1_tarski(U_3808)
| ~ m2_relset_1(U_3808,U_3809,U_3809)
| ~ v1_funct_2(U_3808,U_3809,U_3809)
| ~ v1_funct_1(U_3808) ),
inference(variable_rename,[status(thm)],[f_1364_1]) ).
fof(f_1364_3,plain,
! [U_3809,U_3808] :
( k5_partfun1(U_3809,U_3809,k3_partfun1(U_3808,U_3809,U_3809)) = k1_tarski(U_3808)
| ~ m2_relset_1(U_3808,U_3809,U_3809)
| ~ v1_funct_2(U_3808,U_3809,U_3809)
| ~ v1_funct_1(U_3808) ),
inference(definitional_conversion,[status(esa)],[f_1364_2]) ).
cnf(f_1364_4,plain,
( k5_partfun1(U_3809,U_3809,k3_partfun1(U_3808,U_3809,U_3809)) = k1_tarski(U_3808)
| ~ m2_relset_1(U_3808,U_3809,U_3809)
| ~ v1_funct_2(U_3808,U_3809,U_3809)
| ~ v1_funct_1(U_3808) ),
inference(clausify,[status(thm)],[f_1364_3]) ).
fof(f_1365_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t163_funct_2]) ).
fof(f_1365_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1365_1]) ).
cnf(f_1365_3,plain,
$true,
inference(clausify,[status(thm)],[f_1365_2]) ).
fof(f_1366_1,plain,
! [A,B,C] :
( ! [D] :
( k5_partfun1(A,k1_tarski(B),C) = k1_tarski(D)
| ~ m2_relset_1(D,A,k1_tarski(B))
| ~ v1_funct_2(D,A,k1_tarski(B))
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,k1_tarski(B))
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t164_funct_2]) ).
fof(f_1366_2,plain,
! [U_3813,U_3812,U_3811] :
( ! [U_3810] :
( k5_partfun1(U_3813,k1_tarski(U_3812),U_3811) = k1_tarski(U_3810)
| ~ m2_relset_1(U_3810,U_3813,k1_tarski(U_3812))
| ~ v1_funct_2(U_3810,U_3813,k1_tarski(U_3812))
| ~ v1_funct_1(U_3810) )
| ~ m2_relset_1(U_3811,U_3813,k1_tarski(U_3812))
| ~ v1_funct_1(U_3811) ),
inference(variable_rename,[status(thm)],[f_1366_1]) ).
fof(f_1366_3,plain,
! [U_3810,U_3811,U_3812,U_3813] :
( k5_partfun1(U_3813,k1_tarski(U_3812),U_3811) = k1_tarski(U_3810)
| ~ m2_relset_1(U_3810,U_3813,k1_tarski(U_3812))
| ~ v1_funct_2(U_3810,U_3813,k1_tarski(U_3812))
| ~ v1_funct_1(U_3810)
| ~ m2_relset_1(U_3811,U_3813,k1_tarski(U_3812))
| ~ v1_funct_1(U_3811) ),
inference(definitional_conversion,[status(esa)],[f_1366_2]) ).
cnf(f_1366_4,plain,
( k5_partfun1(U_3813,k1_tarski(U_3812),U_3811) = k1_tarski(U_3810)
| ~ m2_relset_1(U_3810,U_3813,k1_tarski(U_3812))
| ~ v1_funct_2(U_3810,U_3813,k1_tarski(U_3812))
| ~ v1_funct_1(U_3810)
| ~ m2_relset_1(U_3811,U_3813,k1_tarski(U_3812))
| ~ v1_funct_1(U_3811) ),
inference(clausify,[status(thm)],[f_1366_3]) ).
fof(f_1367_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D))
| ~ r1_tarski(D,C)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t165_funct_2]) ).
fof(f_1367_2,plain,
! [U_3817,U_3816,U_3815] :
( ! [U_3814] :
( r1_tarski(k5_partfun1(U_3817,U_3816,U_3815),k5_partfun1(U_3817,U_3816,U_3814))
| ~ r1_tarski(U_3814,U_3815)
| ~ m2_relset_1(U_3814,U_3817,U_3816)
| ~ v1_funct_1(U_3814) )
| ~ m2_relset_1(U_3815,U_3817,U_3816)
| ~ v1_funct_1(U_3815) ),
inference(variable_rename,[status(thm)],[f_1367_1]) ).
fof(f_1367_3,plain,
! [U_3815,U_3814,U_3816,U_3817] :
( r1_tarski(k5_partfun1(U_3817,U_3816,U_3815),k5_partfun1(U_3817,U_3816,U_3814))
| ~ r1_tarski(U_3814,U_3815)
| ~ m2_relset_1(U_3814,U_3817,U_3816)
| ~ v1_funct_1(U_3814)
| ~ m2_relset_1(U_3815,U_3817,U_3816)
| ~ v1_funct_1(U_3815) ),
inference(definitional_conversion,[status(esa)],[f_1367_2]) ).
cnf(f_1367_4,plain,
( r1_tarski(k5_partfun1(U_3817,U_3816,U_3815),k5_partfun1(U_3817,U_3816,U_3814))
| ~ r1_tarski(U_3814,U_3815)
| ~ m2_relset_1(U_3814,U_3817,U_3816)
| ~ v1_funct_1(U_3814)
| ~ m2_relset_1(U_3815,U_3817,U_3816)
| ~ v1_funct_1(U_3815) ),
inference(clausify,[status(thm)],[f_1367_3]) ).
fof(f_1368_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(D,C)
| ~ r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D))
| ~ r1_tarski(k4_relset_1(A,B,D),k4_relset_1(A,B,C))
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t166_funct_2]) ).
fof(f_1368_2,plain,
! [U_3821,U_3820,U_3819] :
( ! [U_3818] :
( r1_tarski(U_3818,U_3819)
| ~ r1_tarski(k5_partfun1(U_3821,U_3820,U_3819),k5_partfun1(U_3821,U_3820,U_3818))
| ~ r1_tarski(k4_relset_1(U_3821,U_3820,U_3818),k4_relset_1(U_3821,U_3820,U_3819))
| ~ m2_relset_1(U_3818,U_3821,U_3820)
| ~ v1_funct_1(U_3818) )
| ~ m2_relset_1(U_3819,U_3821,U_3820)
| ~ v1_funct_1(U_3819) ),
inference(variable_rename,[status(thm)],[f_1368_1]) ).
fof(f_1368_3,plain,
! [U_3819,U_3821,U_3820,U_3818] :
( r1_tarski(U_3818,U_3819)
| ~ r1_tarski(k5_partfun1(U_3821,U_3820,U_3819),k5_partfun1(U_3821,U_3820,U_3818))
| ~ r1_tarski(k4_relset_1(U_3821,U_3820,U_3818),k4_relset_1(U_3821,U_3820,U_3819))
| ~ m2_relset_1(U_3818,U_3821,U_3820)
| ~ v1_funct_1(U_3818)
| ~ m2_relset_1(U_3819,U_3821,U_3820)
| ~ v1_funct_1(U_3819) ),
inference(definitional_conversion,[status(esa)],[f_1368_2]) ).
cnf(f_1368_4,plain,
( r1_tarski(U_3818,U_3819)
| ~ r1_tarski(k5_partfun1(U_3821,U_3820,U_3819),k5_partfun1(U_3821,U_3820,U_3818))
| ~ r1_tarski(k4_relset_1(U_3821,U_3820,U_3818),k4_relset_1(U_3821,U_3820,U_3819))
| ~ m2_relset_1(U_3818,U_3821,U_3820)
| ~ v1_funct_1(U_3818)
| ~ m2_relset_1(U_3819,U_3821,U_3820)
| ~ v1_funct_1(U_3819) ),
inference(clausify,[status(thm)],[f_1368_3]) ).
fof(f_1369_1,plain,
! [A,B,C] :
( ! [D] :
( r1_tarski(D,C)
| ? [E] : B = k1_tarski(E)
| ~ r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D))
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t167_funct_2]) ).
fof(f_1369_2,plain,
! [U_3826,U_3825,U_3824] :
( ! [U_3823] :
( r1_tarski(U_3823,U_3824)
| ? [U_3822] : U_3825 = k1_tarski(U_3822)
| ~ r1_tarski(k5_partfun1(U_3826,U_3825,U_3824),k5_partfun1(U_3826,U_3825,U_3823))
| ~ m2_relset_1(U_3823,U_3826,U_3825)
| ~ v1_funct_1(U_3823) )
| ~ m2_relset_1(U_3824,U_3826,U_3825)
| ~ v1_funct_1(U_3824) ),
inference(variable_rename,[status(thm)],[f_1369_1]) ).
fof(f_1369_3,plain,
! [U_3826,U_3825,U_3824] :
( ! [U_3823] :
( r1_tarski(U_3823,U_3824)
| U_3825 = k1_tarski(sK346(U_3826,U_3825,U_3824,U_3823))
| ~ r1_tarski(k5_partfun1(U_3826,U_3825,U_3824),k5_partfun1(U_3826,U_3825,U_3823))
| ~ m2_relset_1(U_3823,U_3826,U_3825)
| ~ v1_funct_1(U_3823) )
| ~ m2_relset_1(U_3824,U_3826,U_3825)
| ~ v1_funct_1(U_3824) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK346]),skolemize(U_3822,sK346(U_3826,U_3825,U_3824,U_3823))],[f_1369_2]) ).
fof(f_1369_4,plain,
! [U_3824,U_3825,U_3826,U_3823] :
( r1_tarski(U_3823,U_3824)
| U_3825 = k1_tarski(sK346(U_3826,U_3825,U_3824,U_3823))
| ~ r1_tarski(k5_partfun1(U_3826,U_3825,U_3824),k5_partfun1(U_3826,U_3825,U_3823))
| ~ m2_relset_1(U_3823,U_3826,U_3825)
| ~ v1_funct_1(U_3823)
| ~ m2_relset_1(U_3824,U_3826,U_3825)
| ~ v1_funct_1(U_3824) ),
inference(definitional_conversion,[status(esa)],[f_1369_3]) ).
cnf(f_1369_5,plain,
( r1_tarski(U_3823,U_3824)
| U_3825 = k1_tarski(sK346(U_3826,U_3825,U_3824,U_3823))
| ~ r1_tarski(k5_partfun1(U_3826,U_3825,U_3824),k5_partfun1(U_3826,U_3825,U_3823))
| ~ m2_relset_1(U_3823,U_3826,U_3825)
| ~ v1_funct_1(U_3823)
| ~ m2_relset_1(U_3824,U_3826,U_3825)
| ~ v1_funct_1(U_3824) ),
inference(clausify,[status(thm)],[f_1369_4]) ).
fof(f_1370_1,plain,
! [A,B,C] :
( ! [D] :
( C = D
| k5_partfun1(A,B,C) != k5_partfun1(A,B,D)
| ? [E] : B = k1_tarski(E)
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t168_funct_2]) ).
fof(f_1370_2,plain,
! [U_3831,U_3830,U_3829] :
( ! [U_3828] :
( U_3829 = U_3828
| k5_partfun1(U_3831,U_3830,U_3829) != k5_partfun1(U_3831,U_3830,U_3828)
| ? [U_3827] : U_3830 = k1_tarski(U_3827)
| ~ m2_relset_1(U_3828,U_3831,U_3830)
| ~ v1_funct_1(U_3828) )
| ~ m2_relset_1(U_3829,U_3831,U_3830)
| ~ v1_funct_1(U_3829) ),
inference(variable_rename,[status(thm)],[f_1370_1]) ).
fof(f_1370_3,plain,
! [U_3831,U_3830,U_3829] :
( ! [U_3828] :
( U_3829 = U_3828
| k5_partfun1(U_3831,U_3830,U_3829) != k5_partfun1(U_3831,U_3830,U_3828)
| U_3830 = k1_tarski(sK347(U_3831,U_3830,U_3829,U_3828))
| ~ m2_relset_1(U_3828,U_3831,U_3830)
| ~ v1_funct_1(U_3828) )
| ~ m2_relset_1(U_3829,U_3831,U_3830)
| ~ v1_funct_1(U_3829) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK347]),skolemize(U_3827,sK347(U_3831,U_3830,U_3829,U_3828))],[f_1370_2]) ).
fof(f_1370_4,plain,
! [U_3829,U_3830,U_3831,U_3828] :
( U_3829 = U_3828
| k5_partfun1(U_3831,U_3830,U_3829) != k5_partfun1(U_3831,U_3830,U_3828)
| U_3830 = k1_tarski(sK347(U_3831,U_3830,U_3829,U_3828))
| ~ m2_relset_1(U_3828,U_3831,U_3830)
| ~ v1_funct_1(U_3828)
| ~ m2_relset_1(U_3829,U_3831,U_3830)
| ~ v1_funct_1(U_3829) ),
inference(definitional_conversion,[status(esa)],[f_1370_3]) ).
cnf(f_1370_5,plain,
( U_3829 = U_3828
| k5_partfun1(U_3831,U_3830,U_3829) != k5_partfun1(U_3831,U_3830,U_3828)
| U_3830 = k1_tarski(sK347(U_3831,U_3830,U_3829,U_3828))
| ~ m2_relset_1(U_3828,U_3831,U_3830)
| ~ v1_funct_1(U_3828)
| ~ m2_relset_1(U_3829,U_3831,U_3830)
| ~ v1_funct_1(U_3829) ),
inference(clausify,[status(thm)],[f_1370_4]) ).
fof(f_1371_1,plain,
! [A,B,C,D] :
( D = k9_funct_2(A,B,C)
| ~ m2_relset_1(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
| ~ v1_funct_2(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
| ~ v1_funct_1(D) ),
inference(fof_nnf,[status(thm)],[d5_funct_2]) ).
fof(f_1371_2,plain,
! [U_3835,U_3834,U_3833,U_3832] :
( U_3832 = k9_funct_2(U_3835,U_3834,U_3833)
| ~ m2_relset_1(U_3832,k2_zfmisc_1(k1_tarski(U_3835),k1_tarski(U_3834)),k1_tarski(U_3833))
| ~ v1_funct_2(U_3832,k2_zfmisc_1(k1_tarski(U_3835),k1_tarski(U_3834)),k1_tarski(U_3833))
| ~ v1_funct_1(U_3832) ),
inference(variable_rename,[status(thm)],[f_1371_1]) ).
fof(f_1371_3,plain,
! [U_3833,U_3835,U_3834,U_3832] :
( U_3832 = k9_funct_2(U_3835,U_3834,U_3833)
| ~ m2_relset_1(U_3832,k2_zfmisc_1(k1_tarski(U_3835),k1_tarski(U_3834)),k1_tarski(U_3833))
| ~ v1_funct_2(U_3832,k2_zfmisc_1(k1_tarski(U_3835),k1_tarski(U_3834)),k1_tarski(U_3833))
| ~ v1_funct_1(U_3832) ),
inference(definitional_conversion,[status(esa)],[f_1371_2]) ).
cnf(f_1371_4,plain,
( U_3832 = k9_funct_2(U_3835,U_3834,U_3833)
| ~ m2_relset_1(U_3832,k2_zfmisc_1(k1_tarski(U_3835),k1_tarski(U_3834)),k1_tarski(U_3833))
| ~ v1_funct_2(U_3832,k2_zfmisc_1(k1_tarski(U_3835),k1_tarski(U_3834)),k1_tarski(U_3833))
| ~ v1_funct_1(U_3832) ),
inference(clausify,[status(thm)],[f_1371_3]) ).
fof(f_1372_1,plain,
! [A,B,C] :
( ( r1_tarski(k2_relat_1(C),B)
& k1_relat_1(C) = A )
| ~ r2_hidden(C,k1_funct_2(A,B))
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t169_funct_2]) ).
fof(f_1372_2,plain,
! [U_3838,U_3837,U_3836] :
( ( r1_tarski(k2_relat_1(U_3836),U_3837)
& k1_relat_1(U_3836) = U_3838 )
| ~ r2_hidden(U_3836,k1_funct_2(U_3838,U_3837))
| ~ v1_funct_1(U_3836)
| ~ v1_relat_1(U_3836) ),
inference(variable_rename,[status(thm)],[f_1372_1]) ).
fof(f_1372_3,plain,
( ! [U_3838,U_3837,U_3836] :
( r1_tarski(k2_relat_1(U_3836),U_3837)
| ~ sP542(U_3838,U_3837,U_3836) )
& ! [U_3838,U_3837,U_3836] :
( k1_relat_1(U_3836) = U_3838
| ~ sP542(U_3838,U_3837,U_3836) )
& ! [U_3838,U_3837,U_3836] :
( sP542(U_3838,U_3837,U_3836)
| ~ r2_hidden(U_3836,k1_funct_2(U_3838,U_3837))
| ~ v1_funct_1(U_3836)
| ~ v1_relat_1(U_3836) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP542])],[f_1372_2]) ).
cnf(f_1372_4,plain,
( sP542(U_3838,U_3837,U_3836)
| ~ r2_hidden(U_3836,k1_funct_2(U_3838,U_3837))
| ~ v1_funct_1(U_3836)
| ~ v1_relat_1(U_3836) ),
inference(clausify,[status(thm)],[f_1372_3]) ).
cnf(f_1372_5,plain,
( k1_relat_1(U_3836) = U_3838
| ~ sP542(U_3838,U_3837,U_3836) ),
inference(clausify,[status(thm)],[f_1372_3]) ).
cnf(f_1372_6,plain,
( r1_tarski(k2_relat_1(U_3836),U_3837)
| ~ sP542(U_3838,U_3837,U_3836) ),
inference(clausify,[status(thm)],[f_1372_3]) ).
fof(f_1373_1,plain,
( ? [A] :
( ! [B] :
( p1_s1_funct_2(B,k1_funct_1(A,B))
| ~ r2_hidden(B,f1_s1_funct_2) )
& m2_relset_1(A,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_2(A,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ! [B] :
( ~ p1_s1_funct_2(A,B)
| ~ r2_hidden(B,f2_s1_funct_2) )
& r2_hidden(A,f1_s1_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s1_funct_2]) ).
fof(f_1373_2,plain,
( ? [U_3842] :
( ! [U_3841] :
( p1_s1_funct_2(U_3841,k1_funct_1(U_3842,U_3841))
| ~ r2_hidden(U_3841,f1_s1_funct_2) )
& m2_relset_1(U_3842,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_2(U_3842,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_1(U_3842) )
| ? [U_3840] :
( ! [U_3839] :
( ~ p1_s1_funct_2(U_3840,U_3839)
| ~ r2_hidden(U_3839,f2_s1_funct_2) )
& r2_hidden(U_3840,f1_s1_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1373_1]) ).
fof(f_1373_3,plain,
( ? [U_3842] :
( ! [U_3841] :
( p1_s1_funct_2(U_3841,k1_funct_1(U_3842,U_3841))
| ~ r2_hidden(U_3841,f1_s1_funct_2) )
& m2_relset_1(U_3842,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_2(U_3842,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_1(U_3842) )
| ( ! [U_3839] :
( ~ p1_s1_funct_2(sK348,U_3839)
| ~ r2_hidden(U_3839,f2_s1_funct_2) )
& r2_hidden(sK348,f1_s1_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK348]),skolemize(U_3840,sK348)],[f_1373_2]) ).
fof(f_1373_4,plain,
( ( ! [U_3841] :
( p1_s1_funct_2(U_3841,k1_funct_1(sK349,U_3841))
| ~ r2_hidden(U_3841,f1_s1_funct_2) )
& m2_relset_1(sK349,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_2(sK349,f1_s1_funct_2,f2_s1_funct_2)
& v1_funct_1(sK349) )
| ( ! [U_3839] :
( ~ p1_s1_funct_2(sK348,U_3839)
| ~ r2_hidden(U_3839,f2_s1_funct_2) )
& r2_hidden(sK348,f1_s1_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK349]),skolemize(U_3842,sK349)],[f_1373_3]) ).
fof(f_1373_5,plain,
( ! [U_3841] :
( p1_s1_funct_2(U_3841,k1_funct_1(sK349,U_3841))
| ~ r2_hidden(U_3841,f1_s1_funct_2)
| ~ sP544(U_3841) )
& ! [U_3841] :
( m2_relset_1(sK349,f1_s1_funct_2,f2_s1_funct_2)
| ~ sP544(U_3841) )
& ! [U_3841] :
( v1_funct_2(sK349,f1_s1_funct_2,f2_s1_funct_2)
| ~ sP544(U_3841) )
& ! [U_3841] :
( v1_funct_1(sK349)
| ~ sP544(U_3841) )
& ! [U_3839] :
( ~ p1_s1_funct_2(sK348,U_3839)
| ~ r2_hidden(U_3839,f2_s1_funct_2)
| ~ sP543(U_3839) )
& ! [U_3839] :
( r2_hidden(sK348,f1_s1_funct_2)
| ~ sP543(U_3839) )
& ! [U_3839,U_3841] :
( sP544(U_3841)
| sP543(U_3839) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP543,sP544])],[f_1373_4]) ).
cnf(f_1373_6,plain,
( sP544(U_3841)
| sP543(U_3839) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
cnf(f_1373_7,plain,
( r2_hidden(sK348,f1_s1_funct_2)
| ~ sP543(U_3839) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
cnf(f_1373_8,plain,
( ~ p1_s1_funct_2(sK348,U_3839)
| ~ r2_hidden(U_3839,f2_s1_funct_2)
| ~ sP543(U_3839) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
cnf(f_1373_9,plain,
( v1_funct_1(sK349)
| ~ sP544(U_3841) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
cnf(f_1373_10,plain,
( v1_funct_2(sK349,f1_s1_funct_2,f2_s1_funct_2)
| ~ sP544(U_3841) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
cnf(f_1373_11,plain,
( m2_relset_1(sK349,f1_s1_funct_2,f2_s1_funct_2)
| ~ sP544(U_3841) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
cnf(f_1373_12,plain,
( p1_s1_funct_2(U_3841,k1_funct_1(sK349,U_3841))
| ~ r2_hidden(U_3841,f1_s1_funct_2)
| ~ sP544(U_3841) ),
inference(clausify,[status(thm)],[f_1373_5]) ).
fof(f_1374_1,plain,
( ? [A] :
( ! [B] :
( k1_funct_1(A,B) = f3_s2_funct_2(B)
| ~ r2_hidden(B,f1_s2_funct_2) )
& m2_relset_1(A,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_2(A,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ~ r2_hidden(f3_s2_funct_2(A),f2_s2_funct_2)
& r2_hidden(A,f1_s2_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s2_funct_2]) ).
fof(f_1374_2,plain,
( ? [U_3845] :
( ! [U_3844] :
( k1_funct_1(U_3845,U_3844) = f3_s2_funct_2(U_3844)
| ~ r2_hidden(U_3844,f1_s2_funct_2) )
& m2_relset_1(U_3845,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_2(U_3845,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_1(U_3845) )
| ? [U_3843] :
( ~ r2_hidden(f3_s2_funct_2(U_3843),f2_s2_funct_2)
& r2_hidden(U_3843,f1_s2_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1374_1]) ).
fof(f_1374_3,plain,
( ? [U_3845] :
( ! [U_3844] :
( k1_funct_1(U_3845,U_3844) = f3_s2_funct_2(U_3844)
| ~ r2_hidden(U_3844,f1_s2_funct_2) )
& m2_relset_1(U_3845,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_2(U_3845,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_1(U_3845) )
| ( ~ r2_hidden(f3_s2_funct_2(sK350),f2_s2_funct_2)
& r2_hidden(sK350,f1_s2_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK350]),skolemize(U_3843,sK350)],[f_1374_2]) ).
fof(f_1374_4,plain,
( ( ! [U_3844] :
( k1_funct_1(sK351,U_3844) = f3_s2_funct_2(U_3844)
| ~ r2_hidden(U_3844,f1_s2_funct_2) )
& m2_relset_1(sK351,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_2(sK351,f1_s2_funct_2,f2_s2_funct_2)
& v1_funct_1(sK351) )
| ( ~ r2_hidden(f3_s2_funct_2(sK350),f2_s2_funct_2)
& r2_hidden(sK350,f1_s2_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK351]),skolemize(U_3845,sK351)],[f_1374_3]) ).
fof(f_1374_5,plain,
( ! [U_3844] :
( k1_funct_1(sK351,U_3844) = f3_s2_funct_2(U_3844)
| ~ r2_hidden(U_3844,f1_s2_funct_2)
| ~ sP546(U_3844) )
& ! [U_3844] :
( m2_relset_1(sK351,f1_s2_funct_2,f2_s2_funct_2)
| ~ sP546(U_3844) )
& ! [U_3844] :
( v1_funct_2(sK351,f1_s2_funct_2,f2_s2_funct_2)
| ~ sP546(U_3844) )
& ! [U_3844] :
( v1_funct_1(sK351)
| ~ sP546(U_3844) )
& ( ~ r2_hidden(f3_s2_funct_2(sK350),f2_s2_funct_2)
| ~ sP545 )
& ( r2_hidden(sK350,f1_s2_funct_2)
| ~ sP545 )
& ! [U_3844] :
( sP546(U_3844)
| sP545 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP545,sP546])],[f_1374_4]) ).
cnf(f_1374_6,plain,
( sP546(U_3844)
| sP545 ),
inference(clausify,[status(thm)],[f_1374_5]) ).
cnf(f_1374_7,plain,
( r2_hidden(sK350,f1_s2_funct_2)
| ~ sP545 ),
inference(clausify,[status(thm)],[f_1374_5]) ).
cnf(f_1374_8,plain,
( ~ r2_hidden(f3_s2_funct_2(sK350),f2_s2_funct_2)
| ~ sP545 ),
inference(clausify,[status(thm)],[f_1374_5]) ).
cnf(f_1374_9,plain,
( v1_funct_1(sK351)
| ~ sP546(U_3844) ),
inference(clausify,[status(thm)],[f_1374_5]) ).
cnf(f_1374_10,plain,
( v1_funct_2(sK351,f1_s2_funct_2,f2_s2_funct_2)
| ~ sP546(U_3844) ),
inference(clausify,[status(thm)],[f_1374_5]) ).
cnf(f_1374_11,plain,
( m2_relset_1(sK351,f1_s2_funct_2,f2_s2_funct_2)
| ~ sP546(U_3844) ),
inference(clausify,[status(thm)],[f_1374_5]) ).
cnf(f_1374_12,plain,
( k1_funct_1(sK351,U_3844) = f3_s2_funct_2(U_3844)
| ~ r2_hidden(U_3844,f1_s2_funct_2)
| ~ sP546(U_3844) ),
inference(clausify,[status(thm)],[f_1374_5]) ).
fof(f_1375_1,plain,
( ? [A] :
( ! [B] :
( p1_s3_funct_2(B,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,A,B))
| ~ m1_subset_1(B,f1_s3_funct_2) )
& m2_relset_1(A,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_2(A,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ! [B] :
( ~ p1_s3_funct_2(A,B)
| ~ m1_subset_1(B,f2_s3_funct_2) )
& m1_subset_1(A,f1_s3_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s3_funct_2]) ).
fof(f_1375_2,plain,
( ? [U_3849] :
( ! [U_3848] :
( p1_s3_funct_2(U_3848,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,U_3849,U_3848))
| ~ m1_subset_1(U_3848,f1_s3_funct_2) )
& m2_relset_1(U_3849,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_2(U_3849,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_1(U_3849) )
| ? [U_3847] :
( ! [U_3846] :
( ~ p1_s3_funct_2(U_3847,U_3846)
| ~ m1_subset_1(U_3846,f2_s3_funct_2) )
& m1_subset_1(U_3847,f1_s3_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1375_1]) ).
fof(f_1375_3,plain,
( ? [U_3849] :
( ! [U_3848] :
( p1_s3_funct_2(U_3848,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,U_3849,U_3848))
| ~ m1_subset_1(U_3848,f1_s3_funct_2) )
& m2_relset_1(U_3849,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_2(U_3849,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_1(U_3849) )
| ( ! [U_3846] :
( ~ p1_s3_funct_2(sK352,U_3846)
| ~ m1_subset_1(U_3846,f2_s3_funct_2) )
& m1_subset_1(sK352,f1_s3_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK352]),skolemize(U_3847,sK352)],[f_1375_2]) ).
fof(f_1375_4,plain,
( ( ! [U_3848] :
( p1_s3_funct_2(U_3848,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,sK353,U_3848))
| ~ m1_subset_1(U_3848,f1_s3_funct_2) )
& m2_relset_1(sK353,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_2(sK353,f1_s3_funct_2,f2_s3_funct_2)
& v1_funct_1(sK353) )
| ( ! [U_3846] :
( ~ p1_s3_funct_2(sK352,U_3846)
| ~ m1_subset_1(U_3846,f2_s3_funct_2) )
& m1_subset_1(sK352,f1_s3_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK353]),skolemize(U_3849,sK353)],[f_1375_3]) ).
fof(f_1375_5,plain,
( ! [U_3848] :
( p1_s3_funct_2(U_3848,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,sK353,U_3848))
| ~ m1_subset_1(U_3848,f1_s3_funct_2)
| ~ sP548(U_3848) )
& ! [U_3848] :
( m2_relset_1(sK353,f1_s3_funct_2,f2_s3_funct_2)
| ~ sP548(U_3848) )
& ! [U_3848] :
( v1_funct_2(sK353,f1_s3_funct_2,f2_s3_funct_2)
| ~ sP548(U_3848) )
& ! [U_3848] :
( v1_funct_1(sK353)
| ~ sP548(U_3848) )
& ! [U_3846] :
( ~ p1_s3_funct_2(sK352,U_3846)
| ~ m1_subset_1(U_3846,f2_s3_funct_2)
| ~ sP547(U_3846) )
& ! [U_3846] :
( m1_subset_1(sK352,f1_s3_funct_2)
| ~ sP547(U_3846) )
& ! [U_3846,U_3848] :
( sP548(U_3848)
| sP547(U_3846) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP547,sP548])],[f_1375_4]) ).
cnf(f_1375_6,plain,
( sP548(U_3848)
| sP547(U_3846) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
cnf(f_1375_7,plain,
( m1_subset_1(sK352,f1_s3_funct_2)
| ~ sP547(U_3846) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
cnf(f_1375_8,plain,
( ~ p1_s3_funct_2(sK352,U_3846)
| ~ m1_subset_1(U_3846,f2_s3_funct_2)
| ~ sP547(U_3846) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
cnf(f_1375_9,plain,
( v1_funct_1(sK353)
| ~ sP548(U_3848) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
cnf(f_1375_10,plain,
( v1_funct_2(sK353,f1_s3_funct_2,f2_s3_funct_2)
| ~ sP548(U_3848) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
cnf(f_1375_11,plain,
( m2_relset_1(sK353,f1_s3_funct_2,f2_s3_funct_2)
| ~ sP548(U_3848) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
cnf(f_1375_12,plain,
( p1_s3_funct_2(U_3848,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,sK353,U_3848))
| ~ m1_subset_1(U_3848,f1_s3_funct_2)
| ~ sP548(U_3848) ),
inference(clausify,[status(thm)],[f_1375_5]) ).
fof(f_1376_1,plain,
? [A] :
( ! [B] :
( k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,A,B) = f3_s4_funct_2(B)
| ~ m1_subset_1(B,f1_s4_funct_2) )
& m2_relset_1(A,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_2(A,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_1(A) ),
inference(fof_nnf,[status(thm)],[s4_funct_2]) ).
fof(f_1376_2,plain,
? [U_3851] :
( ! [U_3850] :
( k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,U_3851,U_3850) = f3_s4_funct_2(U_3850)
| ~ m1_subset_1(U_3850,f1_s4_funct_2) )
& m2_relset_1(U_3851,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_2(U_3851,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_1(U_3851) ),
inference(variable_rename,[status(thm)],[f_1376_1]) ).
fof(f_1376_3,plain,
( ! [U_3850] :
( k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,sK354,U_3850) = f3_s4_funct_2(U_3850)
| ~ m1_subset_1(U_3850,f1_s4_funct_2) )
& m2_relset_1(sK354,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_2(sK354,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_1(sK354) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK354]),skolemize(U_3851,sK354)],[f_1376_2]) ).
fof(f_1376_4,plain,
( ! [U_3850] :
( k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,sK354,U_3850) = f3_s4_funct_2(U_3850)
| ~ m1_subset_1(U_3850,f1_s4_funct_2) )
& m2_relset_1(sK354,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_2(sK354,f1_s4_funct_2,f2_s4_funct_2)
& v1_funct_1(sK354) ),
inference(definitional_conversion,[status(esa)],[f_1376_3]) ).
cnf(f_1376_5,plain,
v1_funct_1(sK354),
inference(clausify,[status(thm)],[f_1376_4]) ).
cnf(f_1376_6,plain,
v1_funct_2(sK354,f1_s4_funct_2,f2_s4_funct_2),
inference(clausify,[status(thm)],[f_1376_4]) ).
cnf(f_1376_7,plain,
m2_relset_1(sK354,f1_s4_funct_2,f2_s4_funct_2),
inference(clausify,[status(thm)],[f_1376_4]) ).
cnf(f_1376_8,plain,
( k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,sK354,U_3850) = f3_s4_funct_2(U_3850)
| ~ m1_subset_1(U_3850,f1_s4_funct_2) ),
inference(clausify,[status(thm)],[f_1376_4]) ).
fof(f_1377_1,plain,
( ? [A] :
( ! [B,C] :
( p1_s5_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C)))
| ~ r2_hidden(C,f2_s5_funct_2)
| ~ r2_hidden(B,f1_s5_funct_2) )
& m2_relset_1(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(A) )
| ? [A,B] :
( ! [C] :
( ~ p1_s5_funct_2(A,B,C)
| ~ r2_hidden(C,f3_s5_funct_2) )
& r2_hidden(B,f2_s5_funct_2)
& r2_hidden(A,f1_s5_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s5_funct_2]) ).
fof(f_1377_2,plain,
( ? [U_3857] :
( ! [U_3856,U_3855] :
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(U_3857,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2) )
& m2_relset_1(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(U_3857) )
| ? [U_3854,U_3853] :
( ! [U_3852] :
( ~ p1_s5_funct_2(U_3854,U_3853,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2) )
& r2_hidden(U_3853,f2_s5_funct_2)
& r2_hidden(U_3854,f1_s5_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1377_1]) ).
fof(f_1377_3,plain,
( ? [U_3857] :
( ! [U_3856,U_3855] :
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(U_3857,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2) )
& m2_relset_1(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(U_3857) )
| ? [U_3854] :
( ? [U_3853] :
( ! [U_3852] :
( ~ p1_s5_funct_2(U_3854,U_3853,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2) )
& r2_hidden(U_3853,f2_s5_funct_2) )
& r2_hidden(U_3854,f1_s5_funct_2) ) ),
inference(miniscope,[status(thm)],[f_1377_2]) ).
fof(f_1377_4,plain,
( ? [U_3857] :
( ! [U_3856,U_3855] :
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(U_3857,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2) )
& m2_relset_1(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(U_3857) )
| ( ? [U_3853] :
( ! [U_3852] :
( ~ p1_s5_funct_2(sK355,U_3853,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2) )
& r2_hidden(U_3853,f2_s5_funct_2) )
& r2_hidden(sK355,f1_s5_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK355]),skolemize(U_3854,sK355)],[f_1377_3]) ).
fof(f_1377_5,plain,
( ? [U_3857] :
( ! [U_3856,U_3855] :
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(U_3857,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2) )
& m2_relset_1(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(U_3857,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(U_3857) )
| ( ! [U_3852] :
( ~ p1_s5_funct_2(sK355,sK356,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2) )
& r2_hidden(sK356,f2_s5_funct_2)
& r2_hidden(sK355,f1_s5_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK356]),skolemize(U_3853,sK356)],[f_1377_4]) ).
fof(f_1377_6,plain,
( ( ! [U_3856,U_3855] :
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(sK357,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2) )
& m2_relset_1(sK357,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_2(sK357,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
& v1_funct_1(sK357) )
| ( ! [U_3852] :
( ~ p1_s5_funct_2(sK355,sK356,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2) )
& r2_hidden(sK356,f2_s5_funct_2)
& r2_hidden(sK355,f1_s5_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK357]),skolemize(U_3857,sK357)],[f_1377_5]) ).
fof(f_1377_7,plain,
( ! [U_3855,U_3856] :
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(sK357,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2)
| ~ sP550(U_3855,U_3856) )
& ! [U_3855,U_3856] :
( m2_relset_1(sK357,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
| ~ sP550(U_3855,U_3856) )
& ! [U_3855,U_3856] :
( v1_funct_2(sK357,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
| ~ sP550(U_3855,U_3856) )
& ! [U_3855,U_3856] :
( v1_funct_1(sK357)
| ~ sP550(U_3855,U_3856) )
& ! [U_3852] :
( ~ p1_s5_funct_2(sK355,sK356,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2)
| ~ sP549(U_3852) )
& ! [U_3852] :
( r2_hidden(sK356,f2_s5_funct_2)
| ~ sP549(U_3852) )
& ! [U_3852] :
( r2_hidden(sK355,f1_s5_funct_2)
| ~ sP549(U_3852) )
& ! [U_3855,U_3856,U_3852] :
( sP550(U_3855,U_3856)
| sP549(U_3852) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP549,sP550])],[f_1377_6]) ).
cnf(f_1377_8,plain,
( sP550(U_3855,U_3856)
| sP549(U_3852) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_9,plain,
( r2_hidden(sK355,f1_s5_funct_2)
| ~ sP549(U_3852) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_10,plain,
( r2_hidden(sK356,f2_s5_funct_2)
| ~ sP549(U_3852) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_11,plain,
( ~ p1_s5_funct_2(sK355,sK356,U_3852)
| ~ r2_hidden(U_3852,f3_s5_funct_2)
| ~ sP549(U_3852) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_12,plain,
( v1_funct_1(sK357)
| ~ sP550(U_3855,U_3856) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_13,plain,
( v1_funct_2(sK357,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
| ~ sP550(U_3855,U_3856) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_14,plain,
( m2_relset_1(sK357,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2)
| ~ sP550(U_3855,U_3856) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
cnf(f_1377_15,plain,
( p1_s5_funct_2(U_3856,U_3855,k1_funct_1(sK357,k4_tarski(U_3856,U_3855)))
| ~ r2_hidden(U_3855,f2_s5_funct_2)
| ~ r2_hidden(U_3856,f1_s5_funct_2)
| ~ sP550(U_3855,U_3856) ),
inference(clausify,[status(thm)],[f_1377_7]) ).
fof(f_1378_1,plain,
( ? [A] :
( ! [B,C] :
( k1_funct_1(A,k4_tarski(B,C)) = f4_s6_funct_2(B,C)
| ~ r2_hidden(C,f2_s6_funct_2)
| ~ r2_hidden(B,f1_s6_funct_2) )
& m2_relset_1(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_1(A) )
| ? [A,B] :
( ~ r2_hidden(f4_s6_funct_2(A,B),f3_s6_funct_2)
& r2_hidden(B,f2_s6_funct_2)
& r2_hidden(A,f1_s6_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s6_funct_2]) ).
fof(f_1378_2,plain,
( ? [U_3862] :
( ! [U_3861,U_3860] :
( k1_funct_1(U_3862,k4_tarski(U_3861,U_3860)) = f4_s6_funct_2(U_3861,U_3860)
| ~ r2_hidden(U_3860,f2_s6_funct_2)
| ~ r2_hidden(U_3861,f1_s6_funct_2) )
& m2_relset_1(U_3862,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_2(U_3862,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_1(U_3862) )
| ? [U_3859,U_3858] :
( ~ r2_hidden(f4_s6_funct_2(U_3859,U_3858),f3_s6_funct_2)
& r2_hidden(U_3858,f2_s6_funct_2)
& r2_hidden(U_3859,f1_s6_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1378_1]) ).
fof(f_1378_3,plain,
( ? [U_3862] :
( ! [U_3861,U_3860] :
( k1_funct_1(U_3862,k4_tarski(U_3861,U_3860)) = f4_s6_funct_2(U_3861,U_3860)
| ~ r2_hidden(U_3860,f2_s6_funct_2)
| ~ r2_hidden(U_3861,f1_s6_funct_2) )
& m2_relset_1(U_3862,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_2(U_3862,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_1(U_3862) )
| ? [U_3858] :
( ~ r2_hidden(f4_s6_funct_2(sK358,U_3858),f3_s6_funct_2)
& r2_hidden(U_3858,f2_s6_funct_2)
& r2_hidden(sK358,f1_s6_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK358]),skolemize(U_3859,sK358)],[f_1378_2]) ).
fof(f_1378_4,plain,
( ? [U_3862] :
( ! [U_3861,U_3860] :
( k1_funct_1(U_3862,k4_tarski(U_3861,U_3860)) = f4_s6_funct_2(U_3861,U_3860)
| ~ r2_hidden(U_3860,f2_s6_funct_2)
| ~ r2_hidden(U_3861,f1_s6_funct_2) )
& m2_relset_1(U_3862,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_2(U_3862,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_1(U_3862) )
| ( ~ r2_hidden(f4_s6_funct_2(sK358,sK359),f3_s6_funct_2)
& r2_hidden(sK359,f2_s6_funct_2)
& r2_hidden(sK358,f1_s6_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK359]),skolemize(U_3858,sK359)],[f_1378_3]) ).
fof(f_1378_5,plain,
( ( ! [U_3861,U_3860] :
( k1_funct_1(sK360,k4_tarski(U_3861,U_3860)) = f4_s6_funct_2(U_3861,U_3860)
| ~ r2_hidden(U_3860,f2_s6_funct_2)
| ~ r2_hidden(U_3861,f1_s6_funct_2) )
& m2_relset_1(sK360,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_2(sK360,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
& v1_funct_1(sK360) )
| ( ~ r2_hidden(f4_s6_funct_2(sK358,sK359),f3_s6_funct_2)
& r2_hidden(sK359,f2_s6_funct_2)
& r2_hidden(sK358,f1_s6_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK360]),skolemize(U_3862,sK360)],[f_1378_4]) ).
fof(f_1378_6,plain,
( ! [U_3860,U_3861] :
( k1_funct_1(sK360,k4_tarski(U_3861,U_3860)) = f4_s6_funct_2(U_3861,U_3860)
| ~ r2_hidden(U_3860,f2_s6_funct_2)
| ~ r2_hidden(U_3861,f1_s6_funct_2)
| ~ sP552(U_3860,U_3861) )
& ! [U_3860,U_3861] :
( m2_relset_1(sK360,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
| ~ sP552(U_3860,U_3861) )
& ! [U_3860,U_3861] :
( v1_funct_2(sK360,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
| ~ sP552(U_3860,U_3861) )
& ! [U_3860,U_3861] :
( v1_funct_1(sK360)
| ~ sP552(U_3860,U_3861) )
& ( ~ r2_hidden(f4_s6_funct_2(sK358,sK359),f3_s6_funct_2)
| ~ sP551 )
& ( r2_hidden(sK359,f2_s6_funct_2)
| ~ sP551 )
& ( r2_hidden(sK358,f1_s6_funct_2)
| ~ sP551 )
& ! [U_3860,U_3861] :
( sP552(U_3860,U_3861)
| sP551 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP551,sP552])],[f_1378_5]) ).
cnf(f_1378_7,plain,
( sP552(U_3860,U_3861)
| sP551 ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_8,plain,
( r2_hidden(sK358,f1_s6_funct_2)
| ~ sP551 ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_9,plain,
( r2_hidden(sK359,f2_s6_funct_2)
| ~ sP551 ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_10,plain,
( ~ r2_hidden(f4_s6_funct_2(sK358,sK359),f3_s6_funct_2)
| ~ sP551 ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_11,plain,
( v1_funct_1(sK360)
| ~ sP552(U_3860,U_3861) ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_12,plain,
( v1_funct_2(sK360,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
| ~ sP552(U_3860,U_3861) ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_13,plain,
( m2_relset_1(sK360,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2)
| ~ sP552(U_3860,U_3861) ),
inference(clausify,[status(thm)],[f_1378_6]) ).
cnf(f_1378_14,plain,
( k1_funct_1(sK360,k4_tarski(U_3861,U_3860)) = f4_s6_funct_2(U_3861,U_3860)
| ~ r2_hidden(U_3860,f2_s6_funct_2)
| ~ r2_hidden(U_3861,f1_s6_funct_2)
| ~ sP552(U_3860,U_3861) ),
inference(clausify,[status(thm)],[f_1378_6]) ).
fof(f_1379_1,plain,
( ? [A] :
( ! [B] :
( ! [C] :
( p1_s7_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C)))
| ~ m1_subset_1(C,f2_s7_funct_2) )
| ~ m1_subset_1(B,f1_s7_funct_2) )
& m2_relset_1(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ? [B] :
( ! [C] :
( ~ p1_s7_funct_2(A,B,C)
| ~ m1_subset_1(C,f3_s7_funct_2) )
& m1_subset_1(B,f2_s7_funct_2) )
& m1_subset_1(A,f1_s7_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s7_funct_2]) ).
fof(f_1379_2,plain,
( ? [U_3868] :
( ! [U_3867] :
( ! [U_3866] :
( p1_s7_funct_2(U_3867,U_3866,k1_funct_1(U_3868,k4_tarski(U_3867,U_3866)))
| ~ m1_subset_1(U_3866,f2_s7_funct_2) )
| ~ m1_subset_1(U_3867,f1_s7_funct_2) )
& m2_relset_1(U_3868,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_2(U_3868,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_1(U_3868) )
| ? [U_3865] :
( ? [U_3864] :
( ! [U_3863] :
( ~ p1_s7_funct_2(U_3865,U_3864,U_3863)
| ~ m1_subset_1(U_3863,f3_s7_funct_2) )
& m1_subset_1(U_3864,f2_s7_funct_2) )
& m1_subset_1(U_3865,f1_s7_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1379_1]) ).
fof(f_1379_3,plain,
( ? [U_3868] :
( ! [U_3867] :
( ! [U_3866] :
( p1_s7_funct_2(U_3867,U_3866,k1_funct_1(U_3868,k4_tarski(U_3867,U_3866)))
| ~ m1_subset_1(U_3866,f2_s7_funct_2) )
| ~ m1_subset_1(U_3867,f1_s7_funct_2) )
& m2_relset_1(U_3868,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_2(U_3868,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_1(U_3868) )
| ( ? [U_3864] :
( ! [U_3863] :
( ~ p1_s7_funct_2(sK361,U_3864,U_3863)
| ~ m1_subset_1(U_3863,f3_s7_funct_2) )
& m1_subset_1(U_3864,f2_s7_funct_2) )
& m1_subset_1(sK361,f1_s7_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK361]),skolemize(U_3865,sK361)],[f_1379_2]) ).
fof(f_1379_4,plain,
( ? [U_3868] :
( ! [U_3867] :
( ! [U_3866] :
( p1_s7_funct_2(U_3867,U_3866,k1_funct_1(U_3868,k4_tarski(U_3867,U_3866)))
| ~ m1_subset_1(U_3866,f2_s7_funct_2) )
| ~ m1_subset_1(U_3867,f1_s7_funct_2) )
& m2_relset_1(U_3868,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_2(U_3868,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_1(U_3868) )
| ( ! [U_3863] :
( ~ p1_s7_funct_2(sK361,sK362,U_3863)
| ~ m1_subset_1(U_3863,f3_s7_funct_2) )
& m1_subset_1(sK362,f2_s7_funct_2)
& m1_subset_1(sK361,f1_s7_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK362]),skolemize(U_3864,sK362)],[f_1379_3]) ).
fof(f_1379_5,plain,
( ( ! [U_3867] :
( ! [U_3866] :
( p1_s7_funct_2(U_3867,U_3866,k1_funct_1(sK363,k4_tarski(U_3867,U_3866)))
| ~ m1_subset_1(U_3866,f2_s7_funct_2) )
| ~ m1_subset_1(U_3867,f1_s7_funct_2) )
& m2_relset_1(sK363,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_2(sK363,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
& v1_funct_1(sK363) )
| ( ! [U_3863] :
( ~ p1_s7_funct_2(sK361,sK362,U_3863)
| ~ m1_subset_1(U_3863,f3_s7_funct_2) )
& m1_subset_1(sK362,f2_s7_funct_2)
& m1_subset_1(sK361,f1_s7_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK363]),skolemize(U_3868,sK363)],[f_1379_4]) ).
fof(f_1379_6,plain,
( ! [U_3866,U_3867] :
( p1_s7_funct_2(U_3867,U_3866,k1_funct_1(sK363,k4_tarski(U_3867,U_3866)))
| ~ m1_subset_1(U_3866,f2_s7_funct_2)
| ~ m1_subset_1(U_3867,f1_s7_funct_2)
| ~ sP554(U_3866,U_3867) )
& ! [U_3866,U_3867] :
( m2_relset_1(sK363,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
| ~ sP554(U_3866,U_3867) )
& ! [U_3866,U_3867] :
( v1_funct_2(sK363,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
| ~ sP554(U_3866,U_3867) )
& ! [U_3866,U_3867] :
( v1_funct_1(sK363)
| ~ sP554(U_3866,U_3867) )
& ! [U_3863] :
( ~ p1_s7_funct_2(sK361,sK362,U_3863)
| ~ m1_subset_1(U_3863,f3_s7_funct_2)
| ~ sP553(U_3863) )
& ! [U_3863] :
( m1_subset_1(sK362,f2_s7_funct_2)
| ~ sP553(U_3863) )
& ! [U_3863] :
( m1_subset_1(sK361,f1_s7_funct_2)
| ~ sP553(U_3863) )
& ! [U_3866,U_3867,U_3863] :
( sP554(U_3866,U_3867)
| sP553(U_3863) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP553,sP554])],[f_1379_5]) ).
cnf(f_1379_7,plain,
( sP554(U_3866,U_3867)
| sP553(U_3863) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_8,plain,
( m1_subset_1(sK361,f1_s7_funct_2)
| ~ sP553(U_3863) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_9,plain,
( m1_subset_1(sK362,f2_s7_funct_2)
| ~ sP553(U_3863) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_10,plain,
( ~ p1_s7_funct_2(sK361,sK362,U_3863)
| ~ m1_subset_1(U_3863,f3_s7_funct_2)
| ~ sP553(U_3863) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_11,plain,
( v1_funct_1(sK363)
| ~ sP554(U_3866,U_3867) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_12,plain,
( v1_funct_2(sK363,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
| ~ sP554(U_3866,U_3867) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_13,plain,
( m2_relset_1(sK363,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2)
| ~ sP554(U_3866,U_3867) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
cnf(f_1379_14,plain,
( p1_s7_funct_2(U_3867,U_3866,k1_funct_1(sK363,k4_tarski(U_3867,U_3866)))
| ~ m1_subset_1(U_3866,f2_s7_funct_2)
| ~ m1_subset_1(U_3867,f1_s7_funct_2)
| ~ sP554(U_3866,U_3867) ),
inference(clausify,[status(thm)],[f_1379_6]) ).
fof(f_1380_1,plain,
? [A] :
( ! [B] :
( ! [C] :
( k1_funct_1(A,k4_tarski(B,C)) = f4_s8_funct_2(B,C)
| ~ m1_subset_1(C,f2_s8_funct_2) )
| ~ m1_subset_1(B,f1_s8_funct_2) )
& m2_relset_1(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_2(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_1(A) ),
inference(fof_nnf,[status(thm)],[s8_funct_2]) ).
fof(f_1380_2,plain,
? [U_3871] :
( ! [U_3870] :
( ! [U_3869] :
( k1_funct_1(U_3871,k4_tarski(U_3870,U_3869)) = f4_s8_funct_2(U_3870,U_3869)
| ~ m1_subset_1(U_3869,f2_s8_funct_2) )
| ~ m1_subset_1(U_3870,f1_s8_funct_2) )
& m2_relset_1(U_3871,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_2(U_3871,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_1(U_3871) ),
inference(variable_rename,[status(thm)],[f_1380_1]) ).
fof(f_1380_3,plain,
( ! [U_3870] :
( ! [U_3869] :
( k1_funct_1(sK364,k4_tarski(U_3870,U_3869)) = f4_s8_funct_2(U_3870,U_3869)
| ~ m1_subset_1(U_3869,f2_s8_funct_2) )
| ~ m1_subset_1(U_3870,f1_s8_funct_2) )
& m2_relset_1(sK364,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_2(sK364,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_1(sK364) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK364]),skolemize(U_3871,sK364)],[f_1380_2]) ).
fof(f_1380_4,plain,
( ! [U_3870,U_3869] :
( k1_funct_1(sK364,k4_tarski(U_3870,U_3869)) = f4_s8_funct_2(U_3870,U_3869)
| ~ m1_subset_1(U_3869,f2_s8_funct_2)
| ~ m1_subset_1(U_3870,f1_s8_funct_2) )
& m2_relset_1(sK364,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_2(sK364,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2)
& v1_funct_1(sK364) ),
inference(definitional_conversion,[status(esa)],[f_1380_3]) ).
cnf(f_1380_5,plain,
v1_funct_1(sK364),
inference(clausify,[status(thm)],[f_1380_4]) ).
cnf(f_1380_6,plain,
v1_funct_2(sK364,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2),
inference(clausify,[status(thm)],[f_1380_4]) ).
cnf(f_1380_7,plain,
m2_relset_1(sK364,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2),
inference(clausify,[status(thm)],[f_1380_4]) ).
cnf(f_1380_8,plain,
( k1_funct_1(sK364,k4_tarski(U_3870,U_3869)) = f4_s8_funct_2(U_3870,U_3869)
| ~ m1_subset_1(U_3869,f2_s8_funct_2)
| ~ m1_subset_1(U_3870,f1_s8_funct_2) ),
inference(clausify,[status(thm)],[f_1380_4]) ).
fof(f_1381_1,plain,
( ? [A] :
( ! [B] :
( ( ( k1_funct_1(A,B) = f4_s9_funct_2(B)
| p1_s9_funct_2(B) )
& ( k1_funct_1(A,B) = f3_s9_funct_2(B)
| ~ p1_s9_funct_2(B) ) )
| ~ r2_hidden(B,f1_s9_funct_2) )
& m2_relset_1(A,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_2(A,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ( ( ~ r2_hidden(f4_s9_funct_2(A),f2_s9_funct_2)
& ~ p1_s9_funct_2(A) )
| ( ~ r2_hidden(f3_s9_funct_2(A),f2_s9_funct_2)
& p1_s9_funct_2(A) ) )
& r2_hidden(A,f1_s9_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s9_funct_2]) ).
fof(f_1381_2,plain,
( ? [U_3874] :
( ! [U_3873] :
( ( ( k1_funct_1(U_3874,U_3873) = f4_s9_funct_2(U_3873)
| p1_s9_funct_2(U_3873) )
& ( k1_funct_1(U_3874,U_3873) = f3_s9_funct_2(U_3873)
| ~ p1_s9_funct_2(U_3873) ) )
| ~ r2_hidden(U_3873,f1_s9_funct_2) )
& m2_relset_1(U_3874,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_2(U_3874,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_1(U_3874) )
| ? [U_3872] :
( ( ( ~ r2_hidden(f4_s9_funct_2(U_3872),f2_s9_funct_2)
& ~ p1_s9_funct_2(U_3872) )
| ( ~ r2_hidden(f3_s9_funct_2(U_3872),f2_s9_funct_2)
& p1_s9_funct_2(U_3872) ) )
& r2_hidden(U_3872,f1_s9_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1381_1]) ).
fof(f_1381_3,plain,
( ? [U_3874] :
( ! [U_3873] :
( ( ( k1_funct_1(U_3874,U_3873) = f4_s9_funct_2(U_3873)
| p1_s9_funct_2(U_3873) )
& ( k1_funct_1(U_3874,U_3873) = f3_s9_funct_2(U_3873)
| ~ p1_s9_funct_2(U_3873) ) )
| ~ r2_hidden(U_3873,f1_s9_funct_2) )
& m2_relset_1(U_3874,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_2(U_3874,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_1(U_3874) )
| ( ( ( ~ r2_hidden(f4_s9_funct_2(sK365),f2_s9_funct_2)
& ~ p1_s9_funct_2(sK365) )
| ( ~ r2_hidden(f3_s9_funct_2(sK365),f2_s9_funct_2)
& p1_s9_funct_2(sK365) ) )
& r2_hidden(sK365,f1_s9_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK365]),skolemize(U_3872,sK365)],[f_1381_2]) ).
fof(f_1381_4,plain,
( ( ! [U_3873] :
( ( ( k1_funct_1(sK366,U_3873) = f4_s9_funct_2(U_3873)
| p1_s9_funct_2(U_3873) )
& ( k1_funct_1(sK366,U_3873) = f3_s9_funct_2(U_3873)
| ~ p1_s9_funct_2(U_3873) ) )
| ~ r2_hidden(U_3873,f1_s9_funct_2) )
& m2_relset_1(sK366,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_2(sK366,f1_s9_funct_2,f2_s9_funct_2)
& v1_funct_1(sK366) )
| ( ( ( ~ r2_hidden(f4_s9_funct_2(sK365),f2_s9_funct_2)
& ~ p1_s9_funct_2(sK365) )
| ( ~ r2_hidden(f3_s9_funct_2(sK365),f2_s9_funct_2)
& p1_s9_funct_2(sK365) ) )
& r2_hidden(sK365,f1_s9_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK366]),skolemize(U_3874,sK366)],[f_1381_3]) ).
fof(f_1381_5,plain,
( ! [U_3873] :
( k1_funct_1(sK366,U_3873) = f4_s9_funct_2(U_3873)
| p1_s9_funct_2(U_3873)
| ~ sP558(U_3873) )
& ! [U_3873] :
( k1_funct_1(sK366,U_3873) = f3_s9_funct_2(U_3873)
| ~ p1_s9_funct_2(U_3873)
| ~ sP558(U_3873) )
& ! [U_3873] :
( sP558(U_3873)
| ~ r2_hidden(U_3873,f1_s9_funct_2)
| ~ sP559(U_3873) )
& ! [U_3873] :
( m2_relset_1(sK366,f1_s9_funct_2,f2_s9_funct_2)
| ~ sP559(U_3873) )
& ! [U_3873] :
( v1_funct_2(sK366,f1_s9_funct_2,f2_s9_funct_2)
| ~ sP559(U_3873) )
& ! [U_3873] :
( v1_funct_1(sK366)
| ~ sP559(U_3873) )
& ( ~ r2_hidden(f4_s9_funct_2(sK365),f2_s9_funct_2)
| ~ sP556 )
& ( ~ p1_s9_funct_2(sK365)
| ~ sP556 )
& ( ~ r2_hidden(f3_s9_funct_2(sK365),f2_s9_funct_2)
| ~ sP555 )
& ( p1_s9_funct_2(sK365)
| ~ sP555 )
& ( sP556
| sP555
| ~ sP557 )
& ( r2_hidden(sK365,f1_s9_funct_2)
| ~ sP557 )
& ! [U_3873] :
( sP559(U_3873)
| sP557 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP555,sP556,sP557,sP558,sP559])],[f_1381_4]) ).
cnf(f_1381_6,plain,
( sP559(U_3873)
| sP557 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_7,plain,
( r2_hidden(sK365,f1_s9_funct_2)
| ~ sP557 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_8,plain,
( sP556
| sP555
| ~ sP557 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_9,plain,
( p1_s9_funct_2(sK365)
| ~ sP555 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_10,plain,
( ~ r2_hidden(f3_s9_funct_2(sK365),f2_s9_funct_2)
| ~ sP555 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_11,plain,
( ~ p1_s9_funct_2(sK365)
| ~ sP556 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_12,plain,
( ~ r2_hidden(f4_s9_funct_2(sK365),f2_s9_funct_2)
| ~ sP556 ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_13,plain,
( v1_funct_1(sK366)
| ~ sP559(U_3873) ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_14,plain,
( v1_funct_2(sK366,f1_s9_funct_2,f2_s9_funct_2)
| ~ sP559(U_3873) ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_15,plain,
( m2_relset_1(sK366,f1_s9_funct_2,f2_s9_funct_2)
| ~ sP559(U_3873) ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_16,plain,
( sP558(U_3873)
| ~ r2_hidden(U_3873,f1_s9_funct_2)
| ~ sP559(U_3873) ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_17,plain,
( k1_funct_1(sK366,U_3873) = f3_s9_funct_2(U_3873)
| ~ p1_s9_funct_2(U_3873)
| ~ sP558(U_3873) ),
inference(clausify,[status(thm)],[f_1381_5]) ).
cnf(f_1381_18,plain,
( k1_funct_1(sK366,U_3873) = f4_s9_funct_2(U_3873)
| p1_s9_funct_2(U_3873)
| ~ sP558(U_3873) ),
inference(clausify,[status(thm)],[f_1381_5]) ).
fof(f_1382_1,plain,
? [A] :
( ! [B] :
( k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,B) = f5_s10_funct_2(B)
| B = f3_s10_funct_2
| ~ m1_subset_1(B,f1_s10_funct_2) )
& k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,f3_s10_funct_2) = f4_s10_funct_2
& m2_relset_1(A,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_2(A,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_1(A) ),
inference(fof_nnf,[status(thm)],[s10_funct_2]) ).
fof(f_1382_2,plain,
? [U_3876] :
( ! [U_3875] :
( k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,U_3876,U_3875) = f5_s10_funct_2(U_3875)
| U_3875 = f3_s10_funct_2
| ~ m1_subset_1(U_3875,f1_s10_funct_2) )
& k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,U_3876,f3_s10_funct_2) = f4_s10_funct_2
& m2_relset_1(U_3876,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_2(U_3876,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_1(U_3876) ),
inference(variable_rename,[status(thm)],[f_1382_1]) ).
fof(f_1382_3,plain,
( ! [U_3875] :
( k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,sK367,U_3875) = f5_s10_funct_2(U_3875)
| U_3875 = f3_s10_funct_2
| ~ m1_subset_1(U_3875,f1_s10_funct_2) )
& k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,sK367,f3_s10_funct_2) = f4_s10_funct_2
& m2_relset_1(sK367,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_2(sK367,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_1(sK367) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK367]),skolemize(U_3876,sK367)],[f_1382_2]) ).
fof(f_1382_4,plain,
( ! [U_3875] :
( k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,sK367,U_3875) = f5_s10_funct_2(U_3875)
| U_3875 = f3_s10_funct_2
| ~ m1_subset_1(U_3875,f1_s10_funct_2) )
& k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,sK367,f3_s10_funct_2) = f4_s10_funct_2
& m2_relset_1(sK367,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_2(sK367,f1_s10_funct_2,f2_s10_funct_2)
& v1_funct_1(sK367) ),
inference(definitional_conversion,[status(esa)],[f_1382_3]) ).
cnf(f_1382_5,plain,
v1_funct_1(sK367),
inference(clausify,[status(thm)],[f_1382_4]) ).
cnf(f_1382_6,plain,
v1_funct_2(sK367,f1_s10_funct_2,f2_s10_funct_2),
inference(clausify,[status(thm)],[f_1382_4]) ).
cnf(f_1382_7,plain,
m2_relset_1(sK367,f1_s10_funct_2,f2_s10_funct_2),
inference(clausify,[status(thm)],[f_1382_4]) ).
cnf(f_1382_8,plain,
k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,sK367,f3_s10_funct_2) = f4_s10_funct_2,
inference(clausify,[status(thm)],[f_1382_4]) ).
cnf(f_1382_9,plain,
( k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,sK367,U_3875) = f5_s10_funct_2(U_3875)
| U_3875 = f3_s10_funct_2
| ~ m1_subset_1(U_3875,f1_s10_funct_2) ),
inference(clausify,[status(thm)],[f_1382_4]) ).
fof(f_1383_1,plain,
( ? [A] :
( ! [B] :
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,B) = f7_s11_funct_2(B)
| B = f4_s11_funct_2
| B = f3_s11_funct_2
| ~ m1_subset_1(B,f1_s11_funct_2) )
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f4_s11_funct_2) = f6_s11_funct_2
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f3_s11_funct_2) = f5_s11_funct_2
& m2_relset_1(A,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_2(A,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_1(A) )
| f3_s11_funct_2 = f4_s11_funct_2 ),
inference(fof_nnf,[status(thm)],[s11_funct_2]) ).
fof(f_1383_2,plain,
( ? [U_3878] :
( ! [U_3877] :
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,U_3878,U_3877) = f7_s11_funct_2(U_3877)
| U_3877 = f4_s11_funct_2
| U_3877 = f3_s11_funct_2
| ~ m1_subset_1(U_3877,f1_s11_funct_2) )
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,U_3878,f4_s11_funct_2) = f6_s11_funct_2
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,U_3878,f3_s11_funct_2) = f5_s11_funct_2
& m2_relset_1(U_3878,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_2(U_3878,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_1(U_3878) )
| f3_s11_funct_2 = f4_s11_funct_2 ),
inference(variable_rename,[status(thm)],[f_1383_1]) ).
fof(f_1383_3,plain,
( ( ! [U_3877] :
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,U_3877) = f7_s11_funct_2(U_3877)
| U_3877 = f4_s11_funct_2
| U_3877 = f3_s11_funct_2
| ~ m1_subset_1(U_3877,f1_s11_funct_2) )
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,f4_s11_funct_2) = f6_s11_funct_2
& k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,f3_s11_funct_2) = f5_s11_funct_2
& m2_relset_1(sK368,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_2(sK368,f1_s11_funct_2,f2_s11_funct_2)
& v1_funct_1(sK368) )
| f3_s11_funct_2 = f4_s11_funct_2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK368]),skolemize(U_3878,sK368)],[f_1383_2]) ).
fof(f_1383_4,plain,
( ! [U_3877] :
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,U_3877) = f7_s11_funct_2(U_3877)
| U_3877 = f4_s11_funct_2
| U_3877 = f3_s11_funct_2
| ~ m1_subset_1(U_3877,f1_s11_funct_2)
| ~ sP560(U_3877) )
& ! [U_3877] :
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,f4_s11_funct_2) = f6_s11_funct_2
| ~ sP560(U_3877) )
& ! [U_3877] :
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,f3_s11_funct_2) = f5_s11_funct_2
| ~ sP560(U_3877) )
& ! [U_3877] :
( m2_relset_1(sK368,f1_s11_funct_2,f2_s11_funct_2)
| ~ sP560(U_3877) )
& ! [U_3877] :
( v1_funct_2(sK368,f1_s11_funct_2,f2_s11_funct_2)
| ~ sP560(U_3877) )
& ! [U_3877] :
( v1_funct_1(sK368)
| ~ sP560(U_3877) )
& ! [U_3877] :
( sP560(U_3877)
| f3_s11_funct_2 = f4_s11_funct_2 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP560])],[f_1383_3]) ).
cnf(f_1383_5,plain,
( sP560(U_3877)
| f3_s11_funct_2 = f4_s11_funct_2 ),
inference(clausify,[status(thm)],[f_1383_4]) ).
cnf(f_1383_6,plain,
( v1_funct_1(sK368)
| ~ sP560(U_3877) ),
inference(clausify,[status(thm)],[f_1383_4]) ).
cnf(f_1383_7,plain,
( v1_funct_2(sK368,f1_s11_funct_2,f2_s11_funct_2)
| ~ sP560(U_3877) ),
inference(clausify,[status(thm)],[f_1383_4]) ).
cnf(f_1383_8,plain,
( m2_relset_1(sK368,f1_s11_funct_2,f2_s11_funct_2)
| ~ sP560(U_3877) ),
inference(clausify,[status(thm)],[f_1383_4]) ).
cnf(f_1383_9,plain,
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,f3_s11_funct_2) = f5_s11_funct_2
| ~ sP560(U_3877) ),
inference(clausify,[status(thm)],[f_1383_4]) ).
cnf(f_1383_10,plain,
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,f4_s11_funct_2) = f6_s11_funct_2
| ~ sP560(U_3877) ),
inference(clausify,[status(thm)],[f_1383_4]) ).
cnf(f_1383_11,plain,
( k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,sK368,U_3877) = f7_s11_funct_2(U_3877)
| U_3877 = f4_s11_funct_2
| U_3877 = f3_s11_funct_2
| ~ m1_subset_1(U_3877,f1_s11_funct_2)
| ~ sP560(U_3877) ),
inference(clausify,[status(thm)],[f_1383_4]) ).
fof(f_1384_1,plain,
( ? [A] :
( ! [B] :
( k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,A,B) = f3_s12_funct_2(B)
| ~ m1_subset_1(B,f1_s12_funct_2) )
& m2_relset_1(A,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_2(A,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ~ r2_hidden(f3_s12_funct_2(A),f2_s12_funct_2)
& m1_subset_1(A,f1_s12_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s12_funct_2]) ).
fof(f_1384_2,plain,
( ? [U_3881] :
( ! [U_3880] :
( k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,U_3881,U_3880) = f3_s12_funct_2(U_3880)
| ~ m1_subset_1(U_3880,f1_s12_funct_2) )
& m2_relset_1(U_3881,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_2(U_3881,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_1(U_3881) )
| ? [U_3879] :
( ~ r2_hidden(f3_s12_funct_2(U_3879),f2_s12_funct_2)
& m1_subset_1(U_3879,f1_s12_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1384_1]) ).
fof(f_1384_3,plain,
( ? [U_3881] :
( ! [U_3880] :
( k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,U_3881,U_3880) = f3_s12_funct_2(U_3880)
| ~ m1_subset_1(U_3880,f1_s12_funct_2) )
& m2_relset_1(U_3881,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_2(U_3881,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_1(U_3881) )
| ( ~ r2_hidden(f3_s12_funct_2(sK369),f2_s12_funct_2)
& m1_subset_1(sK369,f1_s12_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK369]),skolemize(U_3879,sK369)],[f_1384_2]) ).
fof(f_1384_4,plain,
( ( ! [U_3880] :
( k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,sK370,U_3880) = f3_s12_funct_2(U_3880)
| ~ m1_subset_1(U_3880,f1_s12_funct_2) )
& m2_relset_1(sK370,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_2(sK370,f1_s12_funct_2,f2_s12_funct_2)
& v1_funct_1(sK370) )
| ( ~ r2_hidden(f3_s12_funct_2(sK369),f2_s12_funct_2)
& m1_subset_1(sK369,f1_s12_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK370]),skolemize(U_3881,sK370)],[f_1384_3]) ).
fof(f_1384_5,plain,
( ! [U_3880] :
( k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,sK370,U_3880) = f3_s12_funct_2(U_3880)
| ~ m1_subset_1(U_3880,f1_s12_funct_2)
| ~ sP562(U_3880) )
& ! [U_3880] :
( m2_relset_1(sK370,f1_s12_funct_2,f2_s12_funct_2)
| ~ sP562(U_3880) )
& ! [U_3880] :
( v1_funct_2(sK370,f1_s12_funct_2,f2_s12_funct_2)
| ~ sP562(U_3880) )
& ! [U_3880] :
( v1_funct_1(sK370)
| ~ sP562(U_3880) )
& ( ~ r2_hidden(f3_s12_funct_2(sK369),f2_s12_funct_2)
| ~ sP561 )
& ( m1_subset_1(sK369,f1_s12_funct_2)
| ~ sP561 )
& ! [U_3880] :
( sP562(U_3880)
| sP561 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP561,sP562])],[f_1384_4]) ).
cnf(f_1384_6,plain,
( sP562(U_3880)
| sP561 ),
inference(clausify,[status(thm)],[f_1384_5]) ).
cnf(f_1384_7,plain,
( m1_subset_1(sK369,f1_s12_funct_2)
| ~ sP561 ),
inference(clausify,[status(thm)],[f_1384_5]) ).
cnf(f_1384_8,plain,
( ~ r2_hidden(f3_s12_funct_2(sK369),f2_s12_funct_2)
| ~ sP561 ),
inference(clausify,[status(thm)],[f_1384_5]) ).
cnf(f_1384_9,plain,
( v1_funct_1(sK370)
| ~ sP562(U_3880) ),
inference(clausify,[status(thm)],[f_1384_5]) ).
cnf(f_1384_10,plain,
( v1_funct_2(sK370,f1_s12_funct_2,f2_s12_funct_2)
| ~ sP562(U_3880) ),
inference(clausify,[status(thm)],[f_1384_5]) ).
cnf(f_1384_11,plain,
( m2_relset_1(sK370,f1_s12_funct_2,f2_s12_funct_2)
| ~ sP562(U_3880) ),
inference(clausify,[status(thm)],[f_1384_5]) ).
cnf(f_1384_12,plain,
( k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,sK370,U_3880) = f3_s12_funct_2(U_3880)
| ~ m1_subset_1(U_3880,f1_s12_funct_2)
| ~ sP562(U_3880) ),
inference(clausify,[status(thm)],[f_1384_5]) ).
fof(f_1385_1,plain,
( ? [A] :
( ! [B] :
( k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,A,B) = f3_s13_funct_2(B)
| ~ m1_subset_1(B,f1_s13_funct_2) )
& m2_relset_1(A,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_2(A,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ~ m1_subset_1(f3_s13_funct_2(A),f2_s13_funct_2)
& m1_subset_1(A,f1_s13_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s13_funct_2]) ).
fof(f_1385_2,plain,
( ? [U_3884] :
( ! [U_3883] :
( k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,U_3884,U_3883) = f3_s13_funct_2(U_3883)
| ~ m1_subset_1(U_3883,f1_s13_funct_2) )
& m2_relset_1(U_3884,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_2(U_3884,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_1(U_3884) )
| ? [U_3882] :
( ~ m1_subset_1(f3_s13_funct_2(U_3882),f2_s13_funct_2)
& m1_subset_1(U_3882,f1_s13_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1385_1]) ).
fof(f_1385_3,plain,
( ? [U_3884] :
( ! [U_3883] :
( k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,U_3884,U_3883) = f3_s13_funct_2(U_3883)
| ~ m1_subset_1(U_3883,f1_s13_funct_2) )
& m2_relset_1(U_3884,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_2(U_3884,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_1(U_3884) )
| ( ~ m1_subset_1(f3_s13_funct_2(sK371),f2_s13_funct_2)
& m1_subset_1(sK371,f1_s13_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK371]),skolemize(U_3882,sK371)],[f_1385_2]) ).
fof(f_1385_4,plain,
( ( ! [U_3883] :
( k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,sK372,U_3883) = f3_s13_funct_2(U_3883)
| ~ m1_subset_1(U_3883,f1_s13_funct_2) )
& m2_relset_1(sK372,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_2(sK372,f1_s13_funct_2,f2_s13_funct_2)
& v1_funct_1(sK372) )
| ( ~ m1_subset_1(f3_s13_funct_2(sK371),f2_s13_funct_2)
& m1_subset_1(sK371,f1_s13_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK372]),skolemize(U_3884,sK372)],[f_1385_3]) ).
fof(f_1385_5,plain,
( ! [U_3883] :
( k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,sK372,U_3883) = f3_s13_funct_2(U_3883)
| ~ m1_subset_1(U_3883,f1_s13_funct_2)
| ~ sP564(U_3883) )
& ! [U_3883] :
( m2_relset_1(sK372,f1_s13_funct_2,f2_s13_funct_2)
| ~ sP564(U_3883) )
& ! [U_3883] :
( v1_funct_2(sK372,f1_s13_funct_2,f2_s13_funct_2)
| ~ sP564(U_3883) )
& ! [U_3883] :
( v1_funct_1(sK372)
| ~ sP564(U_3883) )
& ( ~ m1_subset_1(f3_s13_funct_2(sK371),f2_s13_funct_2)
| ~ sP563 )
& ( m1_subset_1(sK371,f1_s13_funct_2)
| ~ sP563 )
& ! [U_3883] :
( sP564(U_3883)
| sP563 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP563,sP564])],[f_1385_4]) ).
cnf(f_1385_6,plain,
( sP564(U_3883)
| sP563 ),
inference(clausify,[status(thm)],[f_1385_5]) ).
cnf(f_1385_7,plain,
( m1_subset_1(sK371,f1_s13_funct_2)
| ~ sP563 ),
inference(clausify,[status(thm)],[f_1385_5]) ).
cnf(f_1385_8,plain,
( ~ m1_subset_1(f3_s13_funct_2(sK371),f2_s13_funct_2)
| ~ sP563 ),
inference(clausify,[status(thm)],[f_1385_5]) ).
cnf(f_1385_9,plain,
( v1_funct_1(sK372)
| ~ sP564(U_3883) ),
inference(clausify,[status(thm)],[f_1385_5]) ).
cnf(f_1385_10,plain,
( v1_funct_2(sK372,f1_s13_funct_2,f2_s13_funct_2)
| ~ sP564(U_3883) ),
inference(clausify,[status(thm)],[f_1385_5]) ).
cnf(f_1385_11,plain,
( m2_relset_1(sK372,f1_s13_funct_2,f2_s13_funct_2)
| ~ sP564(U_3883) ),
inference(clausify,[status(thm)],[f_1385_5]) ).
cnf(f_1385_12,plain,
( k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,sK372,U_3883) = f3_s13_funct_2(U_3883)
| ~ m1_subset_1(U_3883,f1_s13_funct_2)
| ~ sP564(U_3883) ),
inference(clausify,[status(thm)],[f_1385_5]) ).
fof(f_1386_1,plain,
( ? [A] :
( ! [B] :
( p1_s14_funct_2(B,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,A,B))
| ~ m1_subset_1(B,f1_s14_funct_2) )
& m2_relset_1(A,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_2(A,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_1(A) )
| ? [A] :
( ! [B] :
( ~ p1_s14_funct_2(A,B)
| ~ m1_subset_1(B,f2_s14_funct_2) )
& m1_subset_1(A,f1_s14_funct_2) ) ),
inference(fof_nnf,[status(thm)],[s14_funct_2]) ).
fof(f_1386_2,plain,
( ? [U_3888] :
( ! [U_3887] :
( p1_s14_funct_2(U_3887,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,U_3888,U_3887))
| ~ m1_subset_1(U_3887,f1_s14_funct_2) )
& m2_relset_1(U_3888,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_2(U_3888,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_1(U_3888) )
| ? [U_3886] :
( ! [U_3885] :
( ~ p1_s14_funct_2(U_3886,U_3885)
| ~ m1_subset_1(U_3885,f2_s14_funct_2) )
& m1_subset_1(U_3886,f1_s14_funct_2) ) ),
inference(variable_rename,[status(thm)],[f_1386_1]) ).
fof(f_1386_3,plain,
( ? [U_3888] :
( ! [U_3887] :
( p1_s14_funct_2(U_3887,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,U_3888,U_3887))
| ~ m1_subset_1(U_3887,f1_s14_funct_2) )
& m2_relset_1(U_3888,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_2(U_3888,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_1(U_3888) )
| ( ! [U_3885] :
( ~ p1_s14_funct_2(sK373,U_3885)
| ~ m1_subset_1(U_3885,f2_s14_funct_2) )
& m1_subset_1(sK373,f1_s14_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK373]),skolemize(U_3886,sK373)],[f_1386_2]) ).
fof(f_1386_4,plain,
( ( ! [U_3887] :
( p1_s14_funct_2(U_3887,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,sK374,U_3887))
| ~ m1_subset_1(U_3887,f1_s14_funct_2) )
& m2_relset_1(sK374,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_2(sK374,f1_s14_funct_2,f2_s14_funct_2)
& v1_funct_1(sK374) )
| ( ! [U_3885] :
( ~ p1_s14_funct_2(sK373,U_3885)
| ~ m1_subset_1(U_3885,f2_s14_funct_2) )
& m1_subset_1(sK373,f1_s14_funct_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK374]),skolemize(U_3888,sK374)],[f_1386_3]) ).
fof(f_1386_5,plain,
( ! [U_3887] :
( p1_s14_funct_2(U_3887,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,sK374,U_3887))
| ~ m1_subset_1(U_3887,f1_s14_funct_2)
| ~ sP566(U_3887) )
& ! [U_3887] :
( m2_relset_1(sK374,f1_s14_funct_2,f2_s14_funct_2)
| ~ sP566(U_3887) )
& ! [U_3887] :
( v1_funct_2(sK374,f1_s14_funct_2,f2_s14_funct_2)
| ~ sP566(U_3887) )
& ! [U_3887] :
( v1_funct_1(sK374)
| ~ sP566(U_3887) )
& ! [U_3885] :
( ~ p1_s14_funct_2(sK373,U_3885)
| ~ m1_subset_1(U_3885,f2_s14_funct_2)
| ~ sP565(U_3885) )
& ! [U_3885] :
( m1_subset_1(sK373,f1_s14_funct_2)
| ~ sP565(U_3885) )
& ! [U_3885,U_3887] :
( sP566(U_3887)
| sP565(U_3885) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP565,sP566])],[f_1386_4]) ).
cnf(f_1386_6,plain,
( sP566(U_3887)
| sP565(U_3885) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
cnf(f_1386_7,plain,
( m1_subset_1(sK373,f1_s14_funct_2)
| ~ sP565(U_3885) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
cnf(f_1386_8,plain,
( ~ p1_s14_funct_2(sK373,U_3885)
| ~ m1_subset_1(U_3885,f2_s14_funct_2)
| ~ sP565(U_3885) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
cnf(f_1386_9,plain,
( v1_funct_1(sK374)
| ~ sP566(U_3887) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
cnf(f_1386_10,plain,
( v1_funct_2(sK374,f1_s14_funct_2,f2_s14_funct_2)
| ~ sP566(U_3887) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
cnf(f_1386_11,plain,
( m2_relset_1(sK374,f1_s14_funct_2,f2_s14_funct_2)
| ~ sP566(U_3887) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
cnf(f_1386_12,plain,
( p1_s14_funct_2(U_3887,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,sK374,U_3887))
| ~ m1_subset_1(U_3887,f1_s14_funct_2)
| ~ sP566(U_3887) ),
inference(clausify,[status(thm)],[f_1386_5]) ).
fof(f_1387_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_funct_2]) ).
fof(f_1387_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1387_1]) ).
cnf(f_1387_3,plain,
$true,
inference(clausify,[status(thm)],[f_1387_2]) ).
fof(f_1388_1,plain,
! [A,B,C,D] :
( m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B))
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[dt_k2_funct_2]) ).
fof(f_1388_2,plain,
! [U_3892,U_3891,U_3890,U_3889] :
( m1_subset_1(k2_funct_2(U_3892,U_3891,U_3890,U_3889),k1_zfmisc_1(U_3891))
| ~ m1_relset_1(U_3890,U_3892,U_3891)
| ~ v1_funct_2(U_3890,U_3892,U_3891)
| ~ v1_funct_1(U_3890) ),
inference(variable_rename,[status(thm)],[f_1388_1]) ).
fof(f_1388_3,plain,
! [U_3892,U_3891,U_3890] :
( ! [U_3889] : m1_subset_1(k2_funct_2(U_3892,U_3891,U_3890,U_3889),k1_zfmisc_1(U_3891))
| ~ m1_relset_1(U_3890,U_3892,U_3891)
| ~ v1_funct_2(U_3890,U_3892,U_3891)
| ~ v1_funct_1(U_3890) ),
inference(miniscope,[status(thm)],[f_1388_2]) ).
fof(f_1388_4,plain,
! [U_3890,U_3889,U_3891,U_3892] :
( m1_subset_1(k2_funct_2(U_3892,U_3891,U_3890,U_3889),k1_zfmisc_1(U_3891))
| ~ m1_relset_1(U_3890,U_3892,U_3891)
| ~ v1_funct_2(U_3890,U_3892,U_3891)
| ~ v1_funct_1(U_3890) ),
inference(definitional_conversion,[status(esa)],[f_1388_3]) ).
cnf(f_1388_5,plain,
( m1_subset_1(k2_funct_2(U_3892,U_3891,U_3890,U_3889),k1_zfmisc_1(U_3891))
| ~ m1_relset_1(U_3890,U_3892,U_3891)
| ~ v1_funct_2(U_3890,U_3892,U_3891)
| ~ v1_funct_1(U_3890) ),
inference(clausify,[status(thm)],[f_1388_4]) ).
fof(f_1389_1,plain,
! [A,B,C,D] :
( k2_funct_2(A,B,C,D) = k9_relat_1(C,D)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2]) ).
fof(f_1389_2,plain,
! [U_3896,U_3895,U_3894,U_3893] :
( k2_funct_2(U_3896,U_3895,U_3894,U_3893) = k9_relat_1(U_3894,U_3893)
| ~ m1_relset_1(U_3894,U_3896,U_3895)
| ~ v1_funct_2(U_3894,U_3896,U_3895)
| ~ v1_funct_1(U_3894) ),
inference(variable_rename,[status(thm)],[f_1389_1]) ).
fof(f_1389_3,plain,
! [U_3896,U_3895,U_3894] :
( ! [U_3893] : k2_funct_2(U_3896,U_3895,U_3894,U_3893) = k9_relat_1(U_3894,U_3893)
| ~ m1_relset_1(U_3894,U_3896,U_3895)
| ~ v1_funct_2(U_3894,U_3896,U_3895)
| ~ v1_funct_1(U_3894) ),
inference(miniscope,[status(thm)],[f_1389_2]) ).
fof(f_1389_4,plain,
! [U_3893,U_3895,U_3896,U_3894] :
( k2_funct_2(U_3896,U_3895,U_3894,U_3893) = k9_relat_1(U_3894,U_3893)
| ~ m1_relset_1(U_3894,U_3896,U_3895)
| ~ v1_funct_2(U_3894,U_3896,U_3895)
| ~ v1_funct_1(U_3894) ),
inference(definitional_conversion,[status(esa)],[f_1389_3]) ).
cnf(f_1389_5,plain,
( k2_funct_2(U_3896,U_3895,U_3894,U_3893) = k9_relat_1(U_3894,U_3893)
| ~ m1_relset_1(U_3894,U_3896,U_3895)
| ~ v1_funct_2(U_3894,U_3896,U_3895)
| ~ v1_funct_1(U_3894) ),
inference(clausify,[status(thm)],[f_1389_4]) ).
fof(f_1390_1,plain,
! [A,B,C,D] :
( m1_subset_1(k3_funct_2(A,B,C,D),k1_zfmisc_1(A))
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[dt_k3_funct_2]) ).
fof(f_1390_2,plain,
! [U_3900,U_3899,U_3898,U_3897] :
( m1_subset_1(k3_funct_2(U_3900,U_3899,U_3898,U_3897),k1_zfmisc_1(U_3900))
| ~ m1_relset_1(U_3898,U_3900,U_3899)
| ~ v1_funct_1(U_3898) ),
inference(variable_rename,[status(thm)],[f_1390_1]) ).
fof(f_1390_3,plain,
! [U_3900,U_3899,U_3898] :
( ! [U_3897] : m1_subset_1(k3_funct_2(U_3900,U_3899,U_3898,U_3897),k1_zfmisc_1(U_3900))
| ~ m1_relset_1(U_3898,U_3900,U_3899)
| ~ v1_funct_1(U_3898) ),
inference(miniscope,[status(thm)],[f_1390_2]) ).
fof(f_1390_4,plain,
! [U_3899,U_3897,U_3900,U_3898] :
( m1_subset_1(k3_funct_2(U_3900,U_3899,U_3898,U_3897),k1_zfmisc_1(U_3900))
| ~ m1_relset_1(U_3898,U_3900,U_3899)
| ~ v1_funct_1(U_3898) ),
inference(definitional_conversion,[status(esa)],[f_1390_3]) ).
cnf(f_1390_5,plain,
( m1_subset_1(k3_funct_2(U_3900,U_3899,U_3898,U_3897),k1_zfmisc_1(U_3900))
| ~ m1_relset_1(U_3898,U_3900,U_3899)
| ~ v1_funct_1(U_3898) ),
inference(clausify,[status(thm)],[f_1390_4]) ).
fof(f_1391_1,plain,
! [A,B,C,D] :
( k3_funct_2(A,B,C,D) = k10_relat_1(C,D)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[redefinition_k3_funct_2]) ).
fof(f_1391_2,plain,
! [U_3904,U_3903,U_3902,U_3901] :
( k3_funct_2(U_3904,U_3903,U_3902,U_3901) = k10_relat_1(U_3902,U_3901)
| ~ m1_relset_1(U_3902,U_3904,U_3903)
| ~ v1_funct_1(U_3902) ),
inference(variable_rename,[status(thm)],[f_1391_1]) ).
fof(f_1391_3,plain,
! [U_3904,U_3903,U_3902] :
( ! [U_3901] : k3_funct_2(U_3904,U_3903,U_3902,U_3901) = k10_relat_1(U_3902,U_3901)
| ~ m1_relset_1(U_3902,U_3904,U_3903)
| ~ v1_funct_1(U_3902) ),
inference(miniscope,[status(thm)],[f_1391_2]) ).
fof(f_1391_4,plain,
! [U_3902,U_3901,U_3903,U_3904] :
( k3_funct_2(U_3904,U_3903,U_3902,U_3901) = k10_relat_1(U_3902,U_3901)
| ~ m1_relset_1(U_3902,U_3904,U_3903)
| ~ v1_funct_1(U_3902) ),
inference(definitional_conversion,[status(esa)],[f_1391_3]) ).
cnf(f_1391_5,plain,
( k3_funct_2(U_3904,U_3903,U_3902,U_3901) = k10_relat_1(U_3902,U_3901)
| ~ m1_relset_1(U_3902,U_3904,U_3903)
| ~ v1_funct_1(U_3902) ),
inference(clausify,[status(thm)],[f_1391_4]) ).
fof(f_1392_1,plain,
! [A,B,C] :
( ( m2_relset_1(k4_funct_2(A,B,C),A,A)
& v1_funct_2(k4_funct_2(A,B,C),A,A)
& v1_funct_1(k4_funct_2(A,B,C)) )
| ~ m1_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_k4_funct_2]) ).
fof(f_1392_2,plain,
! [U_3907,U_3906,U_3905] :
( ( m2_relset_1(k4_funct_2(U_3907,U_3906,U_3905),U_3907,U_3907)
& v1_funct_2(k4_funct_2(U_3907,U_3906,U_3905),U_3907,U_3907)
& v1_funct_1(k4_funct_2(U_3907,U_3906,U_3905)) )
| ~ m1_relset_1(U_3905,U_3907,U_3907)
| ~ v1_funct_2(U_3905,U_3907,U_3907)
| ~ v1_funct_1(U_3905)
| ~ m1_relset_1(U_3906,U_3907,U_3907)
| ~ v1_funct_2(U_3906,U_3907,U_3907)
| ~ v1_funct_1(U_3906) ),
inference(variable_rename,[status(thm)],[f_1392_1]) ).
fof(f_1392_3,plain,
( ! [U_3906,U_3905,U_3907] :
( m2_relset_1(k4_funct_2(U_3907,U_3906,U_3905),U_3907,U_3907)
| ~ sP567(U_3906,U_3905,U_3907) )
& ! [U_3906,U_3905,U_3907] :
( v1_funct_2(k4_funct_2(U_3907,U_3906,U_3905),U_3907,U_3907)
| ~ sP567(U_3906,U_3905,U_3907) )
& ! [U_3906,U_3905,U_3907] :
( v1_funct_1(k4_funct_2(U_3907,U_3906,U_3905))
| ~ sP567(U_3906,U_3905,U_3907) )
& ! [U_3906,U_3905,U_3907] :
( sP567(U_3906,U_3905,U_3907)
| ~ m1_relset_1(U_3905,U_3907,U_3907)
| ~ v1_funct_2(U_3905,U_3907,U_3907)
| ~ v1_funct_1(U_3905)
| ~ m1_relset_1(U_3906,U_3907,U_3907)
| ~ v1_funct_2(U_3906,U_3907,U_3907)
| ~ v1_funct_1(U_3906) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP567])],[f_1392_2]) ).
cnf(f_1392_4,plain,
( sP567(U_3906,U_3905,U_3907)
| ~ m1_relset_1(U_3905,U_3907,U_3907)
| ~ v1_funct_2(U_3905,U_3907,U_3907)
| ~ v1_funct_1(U_3905)
| ~ m1_relset_1(U_3906,U_3907,U_3907)
| ~ v1_funct_2(U_3906,U_3907,U_3907)
| ~ v1_funct_1(U_3906) ),
inference(clausify,[status(thm)],[f_1392_3]) ).
cnf(f_1392_5,plain,
( v1_funct_1(k4_funct_2(U_3907,U_3906,U_3905))
| ~ sP567(U_3906,U_3905,U_3907) ),
inference(clausify,[status(thm)],[f_1392_3]) ).
cnf(f_1392_6,plain,
( v1_funct_2(k4_funct_2(U_3907,U_3906,U_3905),U_3907,U_3907)
| ~ sP567(U_3906,U_3905,U_3907) ),
inference(clausify,[status(thm)],[f_1392_3]) ).
cnf(f_1392_7,plain,
( m2_relset_1(k4_funct_2(U_3907,U_3906,U_3905),U_3907,U_3907)
| ~ sP567(U_3906,U_3905,U_3907) ),
inference(clausify,[status(thm)],[f_1392_3]) ).
fof(f_1393_1,plain,
! [A,B,C] :
( k4_funct_2(A,B,C) = k5_relat_1(B,C)
| ~ m1_relset_1(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_funct_2]) ).
fof(f_1393_2,plain,
! [U_3910,U_3909,U_3908] :
( k4_funct_2(U_3910,U_3909,U_3908) = k5_relat_1(U_3909,U_3908)
| ~ m1_relset_1(U_3908,U_3910,U_3910)
| ~ v1_funct_2(U_3908,U_3910,U_3910)
| ~ v1_funct_1(U_3908)
| ~ m1_relset_1(U_3909,U_3910,U_3910)
| ~ v1_funct_2(U_3909,U_3910,U_3910)
| ~ v1_funct_1(U_3909) ),
inference(variable_rename,[status(thm)],[f_1393_1]) ).
fof(f_1393_3,plain,
! [U_3910,U_3909,U_3908] :
( k4_funct_2(U_3910,U_3909,U_3908) = k5_relat_1(U_3909,U_3908)
| ~ m1_relset_1(U_3908,U_3910,U_3910)
| ~ v1_funct_2(U_3908,U_3910,U_3910)
| ~ v1_funct_1(U_3908)
| ~ m1_relset_1(U_3909,U_3910,U_3910)
| ~ v1_funct_2(U_3909,U_3910,U_3910)
| ~ v1_funct_1(U_3909) ),
inference(definitional_conversion,[status(esa)],[f_1393_2]) ).
cnf(f_1393_4,plain,
( k4_funct_2(U_3910,U_3909,U_3908) = k5_relat_1(U_3909,U_3908)
| ~ m1_relset_1(U_3908,U_3910,U_3910)
| ~ v1_funct_2(U_3908,U_3910,U_3910)
| ~ v1_funct_1(U_3908)
| ~ m1_relset_1(U_3909,U_3910,U_3910)
| ~ v1_funct_2(U_3909,U_3910,U_3910)
| ~ v1_funct_1(U_3909) ),
inference(clausify,[status(thm)],[f_1393_3]) ).
fof(f_1394_1,plain,
! [A,B,C] :
( ( m2_relset_1(k5_funct_2(A,B,C),A,A)
& v3_funct_2(k5_funct_2(A,B,C),A,A)
& v1_funct_2(k5_funct_2(A,B,C),A,A)
& v1_funct_1(k5_funct_2(A,B,C)) )
| ~ m1_relset_1(C,A,A)
| ~ v3_funct_2(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_k5_funct_2]) ).
fof(f_1394_2,plain,
! [U_3913,U_3912,U_3911] :
( ( m2_relset_1(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
& v3_funct_2(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
& v1_funct_2(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
& v1_funct_1(k5_funct_2(U_3913,U_3912,U_3911)) )
| ~ m1_relset_1(U_3911,U_3913,U_3913)
| ~ v3_funct_2(U_3911,U_3913,U_3913)
| ~ v1_funct_2(U_3911,U_3913,U_3913)
| ~ v1_funct_1(U_3911)
| ~ m1_relset_1(U_3912,U_3913,U_3913)
| ~ v3_funct_2(U_3912,U_3913,U_3913)
| ~ v1_funct_2(U_3912,U_3913,U_3913)
| ~ v1_funct_1(U_3912) ),
inference(variable_rename,[status(thm)],[f_1394_1]) ).
fof(f_1394_3,plain,
( ! [U_3912,U_3911,U_3913] :
( m2_relset_1(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
| ~ sP568(U_3912,U_3911,U_3913) )
& ! [U_3912,U_3911,U_3913] :
( v3_funct_2(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
| ~ sP568(U_3912,U_3911,U_3913) )
& ! [U_3912,U_3911,U_3913] :
( v1_funct_2(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
| ~ sP568(U_3912,U_3911,U_3913) )
& ! [U_3912,U_3911,U_3913] :
( v1_funct_1(k5_funct_2(U_3913,U_3912,U_3911))
| ~ sP568(U_3912,U_3911,U_3913) )
& ! [U_3912,U_3911,U_3913] :
( sP568(U_3912,U_3911,U_3913)
| ~ m1_relset_1(U_3911,U_3913,U_3913)
| ~ v3_funct_2(U_3911,U_3913,U_3913)
| ~ v1_funct_2(U_3911,U_3913,U_3913)
| ~ v1_funct_1(U_3911)
| ~ m1_relset_1(U_3912,U_3913,U_3913)
| ~ v3_funct_2(U_3912,U_3913,U_3913)
| ~ v1_funct_2(U_3912,U_3913,U_3913)
| ~ v1_funct_1(U_3912) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP568])],[f_1394_2]) ).
cnf(f_1394_4,plain,
( sP568(U_3912,U_3911,U_3913)
| ~ m1_relset_1(U_3911,U_3913,U_3913)
| ~ v3_funct_2(U_3911,U_3913,U_3913)
| ~ v1_funct_2(U_3911,U_3913,U_3913)
| ~ v1_funct_1(U_3911)
| ~ m1_relset_1(U_3912,U_3913,U_3913)
| ~ v3_funct_2(U_3912,U_3913,U_3913)
| ~ v1_funct_2(U_3912,U_3913,U_3913)
| ~ v1_funct_1(U_3912) ),
inference(clausify,[status(thm)],[f_1394_3]) ).
cnf(f_1394_5,plain,
( v1_funct_1(k5_funct_2(U_3913,U_3912,U_3911))
| ~ sP568(U_3912,U_3911,U_3913) ),
inference(clausify,[status(thm)],[f_1394_3]) ).
cnf(f_1394_6,plain,
( v1_funct_2(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
| ~ sP568(U_3912,U_3911,U_3913) ),
inference(clausify,[status(thm)],[f_1394_3]) ).
cnf(f_1394_7,plain,
( v3_funct_2(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
| ~ sP568(U_3912,U_3911,U_3913) ),
inference(clausify,[status(thm)],[f_1394_3]) ).
cnf(f_1394_8,plain,
( m2_relset_1(k5_funct_2(U_3913,U_3912,U_3911),U_3913,U_3913)
| ~ sP568(U_3912,U_3911,U_3913) ),
inference(clausify,[status(thm)],[f_1394_3]) ).
fof(f_1395_1,plain,
! [A,B,C] :
( k5_funct_2(A,B,C) = k5_relat_1(B,C)
| ~ m1_relset_1(C,A,A)
| ~ v3_funct_2(C,A,A)
| ~ v1_funct_2(C,A,A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[redefinition_k5_funct_2]) ).
fof(f_1395_2,plain,
! [U_3916,U_3915,U_3914] :
( k5_funct_2(U_3916,U_3915,U_3914) = k5_relat_1(U_3915,U_3914)
| ~ m1_relset_1(U_3914,U_3916,U_3916)
| ~ v3_funct_2(U_3914,U_3916,U_3916)
| ~ v1_funct_2(U_3914,U_3916,U_3916)
| ~ v1_funct_1(U_3914)
| ~ m1_relset_1(U_3915,U_3916,U_3916)
| ~ v3_funct_2(U_3915,U_3916,U_3916)
| ~ v1_funct_2(U_3915,U_3916,U_3916)
| ~ v1_funct_1(U_3915) ),
inference(variable_rename,[status(thm)],[f_1395_1]) ).
fof(f_1395_3,plain,
! [U_3914,U_3916,U_3915] :
( k5_funct_2(U_3916,U_3915,U_3914) = k5_relat_1(U_3915,U_3914)
| ~ m1_relset_1(U_3914,U_3916,U_3916)
| ~ v3_funct_2(U_3914,U_3916,U_3916)
| ~ v1_funct_2(U_3914,U_3916,U_3916)
| ~ v1_funct_1(U_3914)
| ~ m1_relset_1(U_3915,U_3916,U_3916)
| ~ v3_funct_2(U_3915,U_3916,U_3916)
| ~ v1_funct_2(U_3915,U_3916,U_3916)
| ~ v1_funct_1(U_3915) ),
inference(definitional_conversion,[status(esa)],[f_1395_2]) ).
cnf(f_1395_4,plain,
( k5_funct_2(U_3916,U_3915,U_3914) = k5_relat_1(U_3915,U_3914)
| ~ m1_relset_1(U_3914,U_3916,U_3916)
| ~ v3_funct_2(U_3914,U_3916,U_3916)
| ~ v1_funct_2(U_3914,U_3916,U_3916)
| ~ v1_funct_1(U_3914)
| ~ m1_relset_1(U_3915,U_3916,U_3916)
| ~ v3_funct_2(U_3915,U_3916,U_3916)
| ~ v1_funct_2(U_3915,U_3916,U_3916)
| ~ v1_funct_1(U_3915) ),
inference(clausify,[status(thm)],[f_1395_3]) ).
fof(f_1396_1,plain,
! [A,B] :
( ( m2_relset_1(k6_funct_2(A,B),A,A)
& v3_funct_2(k6_funct_2(A,B),A,A)
& v1_funct_2(k6_funct_2(A,B),A,A)
& v1_funct_1(k6_funct_2(A,B)) )
| ~ m1_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_k6_funct_2]) ).
fof(f_1396_2,plain,
! [U_3918,U_3917] :
( ( m2_relset_1(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
& v3_funct_2(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
& v1_funct_2(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
& v1_funct_1(k6_funct_2(U_3918,U_3917)) )
| ~ m1_relset_1(U_3917,U_3918,U_3918)
| ~ v3_funct_2(U_3917,U_3918,U_3918)
| ~ v1_funct_2(U_3917,U_3918,U_3918)
| ~ v1_funct_1(U_3917) ),
inference(variable_rename,[status(thm)],[f_1396_1]) ).
fof(f_1396_3,plain,
( ! [U_3918,U_3917] :
( m2_relset_1(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
| ~ sP569(U_3918,U_3917) )
& ! [U_3918,U_3917] :
( v3_funct_2(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
| ~ sP569(U_3918,U_3917) )
& ! [U_3918,U_3917] :
( v1_funct_2(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
| ~ sP569(U_3918,U_3917) )
& ! [U_3918,U_3917] :
( v1_funct_1(k6_funct_2(U_3918,U_3917))
| ~ sP569(U_3918,U_3917) )
& ! [U_3918,U_3917] :
( sP569(U_3918,U_3917)
| ~ m1_relset_1(U_3917,U_3918,U_3918)
| ~ v3_funct_2(U_3917,U_3918,U_3918)
| ~ v1_funct_2(U_3917,U_3918,U_3918)
| ~ v1_funct_1(U_3917) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP569])],[f_1396_2]) ).
cnf(f_1396_4,plain,
( sP569(U_3918,U_3917)
| ~ m1_relset_1(U_3917,U_3918,U_3918)
| ~ v3_funct_2(U_3917,U_3918,U_3918)
| ~ v1_funct_2(U_3917,U_3918,U_3918)
| ~ v1_funct_1(U_3917) ),
inference(clausify,[status(thm)],[f_1396_3]) ).
cnf(f_1396_5,plain,
( v1_funct_1(k6_funct_2(U_3918,U_3917))
| ~ sP569(U_3918,U_3917) ),
inference(clausify,[status(thm)],[f_1396_3]) ).
cnf(f_1396_6,plain,
( v1_funct_2(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
| ~ sP569(U_3918,U_3917) ),
inference(clausify,[status(thm)],[f_1396_3]) ).
cnf(f_1396_7,plain,
( v3_funct_2(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
| ~ sP569(U_3918,U_3917) ),
inference(clausify,[status(thm)],[f_1396_3]) ).
cnf(f_1396_8,plain,
( m2_relset_1(k6_funct_2(U_3918,U_3917),U_3918,U_3918)
| ~ sP569(U_3918,U_3917) ),
inference(clausify,[status(thm)],[f_1396_3]) ).
fof(f_1397_1,plain,
! [A,B] :
( k6_funct_2(A,B) = k2_funct_1(B)
| ~ m1_relset_1(B,A,A)
| ~ v3_funct_2(B,A,A)
| ~ v1_funct_2(B,A,A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[redefinition_k6_funct_2]) ).
fof(f_1397_2,plain,
! [U_3920,U_3919] :
( k6_funct_2(U_3920,U_3919) = k2_funct_1(U_3919)
| ~ m1_relset_1(U_3919,U_3920,U_3920)
| ~ v3_funct_2(U_3919,U_3920,U_3920)
| ~ v1_funct_2(U_3919,U_3920,U_3920)
| ~ v1_funct_1(U_3919) ),
inference(variable_rename,[status(thm)],[f_1397_1]) ).
fof(f_1397_3,plain,
! [U_3920,U_3919] :
( k6_funct_2(U_3920,U_3919) = k2_funct_1(U_3919)
| ~ m1_relset_1(U_3919,U_3920,U_3920)
| ~ v3_funct_2(U_3919,U_3920,U_3920)
| ~ v1_funct_2(U_3919,U_3920,U_3920)
| ~ v1_funct_1(U_3919) ),
inference(definitional_conversion,[status(esa)],[f_1397_2]) ).
cnf(f_1397_4,plain,
( k6_funct_2(U_3920,U_3919) = k2_funct_1(U_3919)
| ~ m1_relset_1(U_3919,U_3920,U_3920)
| ~ v3_funct_2(U_3919,U_3920,U_3920)
| ~ v1_funct_2(U_3919,U_3920,U_3920)
| ~ v1_funct_1(U_3919) ),
inference(clausify,[status(thm)],[f_1397_3]) ).
fof(f_1398_1,plain,
! [A,B,C,D,E] :
( ( m2_relset_1(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
& v1_funct_1(k7_funct_2(A,B,C,D,E)) )
| ~ m1_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E)
| ~ m1_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[dt_k7_funct_2]) ).
fof(f_1398_2,plain,
! [U_3925,U_3924,U_3923,U_3922,U_3921] :
( ( m2_relset_1(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921),U_3925,U_3923)
& v1_funct_2(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921),U_3925,U_3923)
& v1_funct_1(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921)) )
| ~ m1_relset_1(U_3921,U_3924,U_3923)
| ~ v1_funct_2(U_3921,U_3924,U_3923)
| ~ v1_funct_1(U_3921)
| ~ m1_relset_1(U_3922,U_3925,U_3924)
| ~ v1_funct_2(U_3922,U_3925,U_3924)
| ~ v1_funct_1(U_3922)
| v1_xboole_0(U_3924) ),
inference(variable_rename,[status(thm)],[f_1398_1]) ).
fof(f_1398_3,plain,
( ! [U_3921,U_3923,U_3924,U_3922,U_3925] :
( m2_relset_1(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921),U_3925,U_3923)
| ~ sP570(U_3921,U_3923,U_3924,U_3922,U_3925) )
& ! [U_3921,U_3923,U_3924,U_3922,U_3925] :
( v1_funct_2(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921),U_3925,U_3923)
| ~ sP570(U_3921,U_3923,U_3924,U_3922,U_3925) )
& ! [U_3921,U_3923,U_3924,U_3922,U_3925] :
( v1_funct_1(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921))
| ~ sP570(U_3921,U_3923,U_3924,U_3922,U_3925) )
& ! [U_3921,U_3923,U_3924,U_3922,U_3925] :
( sP570(U_3921,U_3923,U_3924,U_3922,U_3925)
| ~ m1_relset_1(U_3921,U_3924,U_3923)
| ~ v1_funct_2(U_3921,U_3924,U_3923)
| ~ v1_funct_1(U_3921)
| ~ m1_relset_1(U_3922,U_3925,U_3924)
| ~ v1_funct_2(U_3922,U_3925,U_3924)
| ~ v1_funct_1(U_3922)
| v1_xboole_0(U_3924) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP570])],[f_1398_2]) ).
cnf(f_1398_4,plain,
( sP570(U_3921,U_3923,U_3924,U_3922,U_3925)
| ~ m1_relset_1(U_3921,U_3924,U_3923)
| ~ v1_funct_2(U_3921,U_3924,U_3923)
| ~ v1_funct_1(U_3921)
| ~ m1_relset_1(U_3922,U_3925,U_3924)
| ~ v1_funct_2(U_3922,U_3925,U_3924)
| ~ v1_funct_1(U_3922)
| v1_xboole_0(U_3924) ),
inference(clausify,[status(thm)],[f_1398_3]) ).
cnf(f_1398_5,plain,
( v1_funct_1(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921))
| ~ sP570(U_3921,U_3923,U_3924,U_3922,U_3925) ),
inference(clausify,[status(thm)],[f_1398_3]) ).
cnf(f_1398_6,plain,
( v1_funct_2(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921),U_3925,U_3923)
| ~ sP570(U_3921,U_3923,U_3924,U_3922,U_3925) ),
inference(clausify,[status(thm)],[f_1398_3]) ).
cnf(f_1398_7,plain,
( m2_relset_1(k7_funct_2(U_3925,U_3924,U_3923,U_3922,U_3921),U_3925,U_3923)
| ~ sP570(U_3921,U_3923,U_3924,U_3922,U_3925) ),
inference(clausify,[status(thm)],[f_1398_3]) ).
fof(f_1399_1,plain,
! [A,B,C,D,E] :
( k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E)
| ~ m1_relset_1(E,B,C)
| ~ v1_funct_2(E,B,C)
| ~ v1_funct_1(E)
| ~ m1_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[redefinition_k7_funct_2]) ).
fof(f_1399_2,plain,
! [U_3930,U_3929,U_3928,U_3927,U_3926] :
( k7_funct_2(U_3930,U_3929,U_3928,U_3927,U_3926) = k5_relat_1(U_3927,U_3926)
| ~ m1_relset_1(U_3926,U_3929,U_3928)
| ~ v1_funct_2(U_3926,U_3929,U_3928)
| ~ v1_funct_1(U_3926)
| ~ m1_relset_1(U_3927,U_3930,U_3929)
| ~ v1_funct_2(U_3927,U_3930,U_3929)
| ~ v1_funct_1(U_3927)
| v1_xboole_0(U_3929) ),
inference(variable_rename,[status(thm)],[f_1399_1]) ).
fof(f_1399_3,plain,
! [U_3926,U_3927,U_3928,U_3930,U_3929] :
( k7_funct_2(U_3930,U_3929,U_3928,U_3927,U_3926) = k5_relat_1(U_3927,U_3926)
| ~ m1_relset_1(U_3926,U_3929,U_3928)
| ~ v1_funct_2(U_3926,U_3929,U_3928)
| ~ v1_funct_1(U_3926)
| ~ m1_relset_1(U_3927,U_3930,U_3929)
| ~ v1_funct_2(U_3927,U_3930,U_3929)
| ~ v1_funct_1(U_3927)
| v1_xboole_0(U_3929) ),
inference(definitional_conversion,[status(esa)],[f_1399_2]) ).
cnf(f_1399_4,plain,
( k7_funct_2(U_3930,U_3929,U_3928,U_3927,U_3926) = k5_relat_1(U_3927,U_3926)
| ~ m1_relset_1(U_3926,U_3929,U_3928)
| ~ v1_funct_2(U_3926,U_3929,U_3928)
| ~ v1_funct_1(U_3926)
| ~ m1_relset_1(U_3927,U_3930,U_3929)
| ~ v1_funct_2(U_3927,U_3930,U_3929)
| ~ v1_funct_1(U_3927)
| v1_xboole_0(U_3929) ),
inference(clausify,[status(thm)],[f_1399_3]) ).
fof(f_1400_1,plain,
! [A,B,C,D] :
( m1_subset_1(k8_funct_2(A,B,C,D),B)
| ~ m1_subset_1(D,A)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k8_funct_2]) ).
fof(f_1400_2,plain,
! [U_3934,U_3933,U_3932,U_3931] :
( m1_subset_1(k8_funct_2(U_3934,U_3933,U_3932,U_3931),U_3933)
| ~ m1_subset_1(U_3931,U_3934)
| ~ m1_relset_1(U_3932,U_3934,U_3933)
| ~ v1_funct_2(U_3932,U_3934,U_3933)
| ~ v1_funct_1(U_3932)
| v1_xboole_0(U_3934) ),
inference(variable_rename,[status(thm)],[f_1400_1]) ).
fof(f_1400_3,plain,
! [U_3934,U_3931,U_3932,U_3933] :
( m1_subset_1(k8_funct_2(U_3934,U_3933,U_3932,U_3931),U_3933)
| ~ m1_subset_1(U_3931,U_3934)
| ~ m1_relset_1(U_3932,U_3934,U_3933)
| ~ v1_funct_2(U_3932,U_3934,U_3933)
| ~ v1_funct_1(U_3932)
| v1_xboole_0(U_3934) ),
inference(definitional_conversion,[status(esa)],[f_1400_2]) ).
cnf(f_1400_4,plain,
( m1_subset_1(k8_funct_2(U_3934,U_3933,U_3932,U_3931),U_3933)
| ~ m1_subset_1(U_3931,U_3934)
| ~ m1_relset_1(U_3932,U_3934,U_3933)
| ~ v1_funct_2(U_3932,U_3934,U_3933)
| ~ v1_funct_1(U_3932)
| v1_xboole_0(U_3934) ),
inference(clausify,[status(thm)],[f_1400_3]) ).
fof(f_1401_1,plain,
! [A,B,C,D] :
( k8_funct_2(A,B,C,D) = k1_funct_1(C,D)
| ~ m1_subset_1(D,A)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k8_funct_2]) ).
fof(f_1401_2,plain,
! [U_3938,U_3937,U_3936,U_3935] :
( k8_funct_2(U_3938,U_3937,U_3936,U_3935) = k1_funct_1(U_3936,U_3935)
| ~ m1_subset_1(U_3935,U_3938)
| ~ m1_relset_1(U_3936,U_3938,U_3937)
| ~ v1_funct_2(U_3936,U_3938,U_3937)
| ~ v1_funct_1(U_3936)
| v1_xboole_0(U_3938) ),
inference(variable_rename,[status(thm)],[f_1401_1]) ).
fof(f_1401_3,plain,
! [U_3936,U_3935,U_3937,U_3938] :
( k8_funct_2(U_3938,U_3937,U_3936,U_3935) = k1_funct_1(U_3936,U_3935)
| ~ m1_subset_1(U_3935,U_3938)
| ~ m1_relset_1(U_3936,U_3938,U_3937)
| ~ v1_funct_2(U_3936,U_3938,U_3937)
| ~ v1_funct_1(U_3936)
| v1_xboole_0(U_3938) ),
inference(definitional_conversion,[status(esa)],[f_1401_2]) ).
cnf(f_1401_4,plain,
( k8_funct_2(U_3938,U_3937,U_3936,U_3935) = k1_funct_1(U_3936,U_3935)
| ~ m1_subset_1(U_3935,U_3938)
| ~ m1_relset_1(U_3936,U_3938,U_3937)
| ~ v1_funct_2(U_3936,U_3938,U_3937)
| ~ v1_funct_1(U_3936)
| v1_xboole_0(U_3938) ),
inference(clausify,[status(thm)],[f_1401_3]) ).
fof(f_1402_1,plain,
! [A,B,C] :
( m2_relset_1(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
& v1_funct_2(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C))
& v1_funct_1(k9_funct_2(A,B,C)) ),
inference(fof_nnf,[status(thm)],[dt_k9_funct_2]) ).
fof(f_1402_2,plain,
! [U_3941,U_3940,U_3939] :
( m2_relset_1(k9_funct_2(U_3941,U_3940,U_3939),k2_zfmisc_1(k1_tarski(U_3941),k1_tarski(U_3940)),k1_tarski(U_3939))
& v1_funct_2(k9_funct_2(U_3941,U_3940,U_3939),k2_zfmisc_1(k1_tarski(U_3941),k1_tarski(U_3940)),k1_tarski(U_3939))
& v1_funct_1(k9_funct_2(U_3941,U_3940,U_3939)) ),
inference(variable_rename,[status(thm)],[f_1402_1]) ).
fof(f_1402_3,plain,
( ! [U_3950,U_3947,U_3944] : m2_relset_1(k9_funct_2(U_3950,U_3947,U_3944),k2_zfmisc_1(k1_tarski(U_3950),k1_tarski(U_3947)),k1_tarski(U_3944))
& ! [U_3949,U_3946,U_3943] : v1_funct_2(k9_funct_2(U_3949,U_3946,U_3943),k2_zfmisc_1(k1_tarski(U_3949),k1_tarski(U_3946)),k1_tarski(U_3943))
& ! [U_3948,U_3945,U_3942] : v1_funct_1(k9_funct_2(U_3948,U_3945,U_3942)) ),
inference(miniscope,[status(thm)],[f_1402_2]) ).
fof(f_1402_4,plain,
( ! [U_3944,U_3947,U_3950] : m2_relset_1(k9_funct_2(U_3950,U_3947,U_3944),k2_zfmisc_1(k1_tarski(U_3950),k1_tarski(U_3947)),k1_tarski(U_3944))
& ! [U_3943,U_3946,U_3949] : v1_funct_2(k9_funct_2(U_3949,U_3946,U_3943),k2_zfmisc_1(k1_tarski(U_3949),k1_tarski(U_3946)),k1_tarski(U_3943))
& ! [U_3942,U_3945,U_3948] : v1_funct_1(k9_funct_2(U_3948,U_3945,U_3942)) ),
inference(definitional_conversion,[status(esa)],[f_1402_3]) ).
cnf(f_1402_5,plain,
v1_funct_1(k9_funct_2(U_3948,U_3945,U_3942)),
inference(clausify,[status(thm)],[f_1402_4]) ).
cnf(f_1402_6,plain,
v1_funct_2(k9_funct_2(U_3949,U_3946,U_3943),k2_zfmisc_1(k1_tarski(U_3949),k1_tarski(U_3946)),k1_tarski(U_3943)),
inference(clausify,[status(thm)],[f_1402_4]) ).
cnf(f_1402_7,plain,
m2_relset_1(k9_funct_2(U_3950,U_3947,U_3944),k2_zfmisc_1(k1_tarski(U_3950),k1_tarski(U_3947)),k1_tarski(U_3944)),
inference(clausify,[status(thm)],[f_1402_4]) ).
fof(f_1403_1,plain,
( ~ v1_xboole_0(k5_ordinal2)
& v3_ordinal1(k5_ordinal2)
& v2_ordinal1(k5_ordinal2)
& v1_ordinal1(k5_ordinal2) ),
inference(fof_nnf,[status(thm)],[fc1_ordinal2]) ).
fof(f_1403_2,plain,
( ~ v1_xboole_0(k5_ordinal2)
& v3_ordinal1(k5_ordinal2)
& v2_ordinal1(k5_ordinal2)
& v1_ordinal1(k5_ordinal2) ),
inference(definitional_conversion,[status(esa)],[f_1403_1]) ).
cnf(f_1403_3,plain,
v1_ordinal1(k5_ordinal2),
inference(clausify,[status(thm)],[f_1403_2]) ).
cnf(f_1403_4,plain,
v2_ordinal1(k5_ordinal2),
inference(clausify,[status(thm)],[f_1403_2]) ).
cnf(f_1403_5,plain,
v3_ordinal1(k5_ordinal2),
inference(clausify,[status(thm)],[f_1403_2]) ).
cnf(f_1403_6,plain,
~ v1_xboole_0(k5_ordinal2),
inference(clausify,[status(thm)],[f_1403_2]) ).
fof(f_1404_1,plain,
? [A] :
( v4_ordinal1(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[rc1_ordinal2]) ).
fof(f_1404_2,plain,
? [U_3951] :
( v4_ordinal1(U_3951)
& v3_ordinal1(U_3951)
& v2_ordinal1(U_3951)
& v1_ordinal1(U_3951) ),
inference(variable_rename,[status(thm)],[f_1404_1]) ).
fof(f_1404_3,plain,
( v4_ordinal1(sK375)
& v3_ordinal1(sK375)
& v2_ordinal1(sK375)
& v1_ordinal1(sK375) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK375]),skolemize(U_3951,sK375)],[f_1404_2]) ).
fof(f_1404_4,plain,
( v4_ordinal1(sK375)
& v3_ordinal1(sK375)
& v2_ordinal1(sK375)
& v1_ordinal1(sK375) ),
inference(definitional_conversion,[status(esa)],[f_1404_3]) ).
cnf(f_1404_5,plain,
v1_ordinal1(sK375),
inference(clausify,[status(thm)],[f_1404_4]) ).
cnf(f_1404_6,plain,
v2_ordinal1(sK375),
inference(clausify,[status(thm)],[f_1404_4]) ).
cnf(f_1404_7,plain,
v3_ordinal1(sK375),
inference(clausify,[status(thm)],[f_1404_4]) ).
cnf(f_1404_8,plain,
v4_ordinal1(sK375),
inference(clausify,[status(thm)],[f_1404_4]) ).
fof(f_1405_1,plain,
? [A] :
( v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_ordinal2]) ).
fof(f_1405_2,plain,
? [U_3952] :
( v1_ordinal2(U_3952)
& v5_ordinal1(U_3952)
& v1_funct_1(U_3952)
& v1_relat_1(U_3952) ),
inference(variable_rename,[status(thm)],[f_1405_1]) ).
fof(f_1405_3,plain,
( v1_ordinal2(sK376)
& v5_ordinal1(sK376)
& v1_funct_1(sK376)
& v1_relat_1(sK376) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK376]),skolemize(U_3952,sK376)],[f_1405_2]) ).
fof(f_1405_4,plain,
( v1_ordinal2(sK376)
& v5_ordinal1(sK376)
& v1_funct_1(sK376)
& v1_relat_1(sK376) ),
inference(definitional_conversion,[status(esa)],[f_1405_3]) ).
cnf(f_1405_5,plain,
v1_relat_1(sK376),
inference(clausify,[status(thm)],[f_1405_4]) ).
cnf(f_1405_6,plain,
v1_funct_1(sK376),
inference(clausify,[status(thm)],[f_1405_4]) ).
cnf(f_1405_7,plain,
v5_ordinal1(sK376),
inference(clausify,[status(thm)],[f_1405_4]) ).
cnf(f_1405_8,plain,
v1_ordinal2(sK376),
inference(clausify,[status(thm)],[f_1405_4]) ).
fof(f_1406_1,plain,
! [A] :
( ! [B] :
( v1_ordinal2(B)
| ~ m1_ordinal1(B,A) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[cc1_ordinal2]) ).
fof(f_1406_2,plain,
! [U_3954] :
( ! [U_3953] :
( v1_ordinal2(U_3953)
| ~ m1_ordinal1(U_3953,U_3954) )
| ~ v3_ordinal1(U_3954) ),
inference(variable_rename,[status(thm)],[f_1406_1]) ).
fof(f_1406_3,plain,
! [U_3954,U_3953] :
( v1_ordinal2(U_3953)
| ~ m1_ordinal1(U_3953,U_3954)
| ~ v3_ordinal1(U_3954) ),
inference(definitional_conversion,[status(esa)],[f_1406_2]) ).
cnf(f_1406_4,plain,
( v1_ordinal2(U_3953)
| ~ m1_ordinal1(U_3953,U_3954)
| ~ v3_ordinal1(U_3954) ),
inference(clausify,[status(thm)],[f_1406_3]) ).
fof(f_1407_1,plain,
! [A,B] :
( ( v1_ordinal2(k7_relat_1(A,B))
& v1_funct_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) )
| ~ v3_ordinal1(B)
| ~ v1_ordinal2(A)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc2_ordinal2]) ).
fof(f_1407_2,plain,
! [U_3956,U_3955] :
( ( v1_ordinal2(k7_relat_1(U_3956,U_3955))
& v1_funct_1(k7_relat_1(U_3956,U_3955))
& v1_relat_1(k7_relat_1(U_3956,U_3955)) )
| ~ v3_ordinal1(U_3955)
| ~ v1_ordinal2(U_3956)
| ~ v5_ordinal1(U_3956)
| ~ v1_funct_1(U_3956)
| ~ v1_relat_1(U_3956) ),
inference(variable_rename,[status(thm)],[f_1407_1]) ).
fof(f_1407_3,plain,
( ! [U_3956,U_3955] :
( v1_ordinal2(k7_relat_1(U_3956,U_3955))
| ~ sP571(U_3956,U_3955) )
& ! [U_3956,U_3955] :
( v1_funct_1(k7_relat_1(U_3956,U_3955))
| ~ sP571(U_3956,U_3955) )
& ! [U_3956,U_3955] :
( v1_relat_1(k7_relat_1(U_3956,U_3955))
| ~ sP571(U_3956,U_3955) )
& ! [U_3956,U_3955] :
( sP571(U_3956,U_3955)
| ~ v3_ordinal1(U_3955)
| ~ v1_ordinal2(U_3956)
| ~ v5_ordinal1(U_3956)
| ~ v1_funct_1(U_3956)
| ~ v1_relat_1(U_3956) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP571])],[f_1407_2]) ).
cnf(f_1407_4,plain,
( sP571(U_3956,U_3955)
| ~ v3_ordinal1(U_3955)
| ~ v1_ordinal2(U_3956)
| ~ v5_ordinal1(U_3956)
| ~ v1_funct_1(U_3956)
| ~ v1_relat_1(U_3956) ),
inference(clausify,[status(thm)],[f_1407_3]) ).
cnf(f_1407_5,plain,
( v1_relat_1(k7_relat_1(U_3956,U_3955))
| ~ sP571(U_3956,U_3955) ),
inference(clausify,[status(thm)],[f_1407_3]) ).
cnf(f_1407_6,plain,
( v1_funct_1(k7_relat_1(U_3956,U_3955))
| ~ sP571(U_3956,U_3955) ),
inference(clausify,[status(thm)],[f_1407_3]) ).
cnf(f_1407_7,plain,
( v1_ordinal2(k7_relat_1(U_3956,U_3955))
| ~ sP571(U_3956,U_3955) ),
inference(clausify,[status(thm)],[f_1407_3]) ).
fof(f_1408_1,plain,
! [A,B] :
( ( v3_ordinal1(k1_funct_1(A,B))
& v2_ordinal1(k1_funct_1(A,B))
& v1_ordinal1(k1_funct_1(A,B)) )
| ~ v3_ordinal1(B)
| ~ v1_ordinal2(A)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc3_ordinal2]) ).
fof(f_1408_2,plain,
! [U_3958,U_3957] :
( ( v3_ordinal1(k1_funct_1(U_3958,U_3957))
& v2_ordinal1(k1_funct_1(U_3958,U_3957))
& v1_ordinal1(k1_funct_1(U_3958,U_3957)) )
| ~ v3_ordinal1(U_3957)
| ~ v1_ordinal2(U_3958)
| ~ v5_ordinal1(U_3958)
| ~ v1_funct_1(U_3958)
| ~ v1_relat_1(U_3958) ),
inference(variable_rename,[status(thm)],[f_1408_1]) ).
fof(f_1408_3,plain,
( ! [U_3958,U_3957] :
( v3_ordinal1(k1_funct_1(U_3958,U_3957))
| ~ sP572(U_3958,U_3957) )
& ! [U_3958,U_3957] :
( v2_ordinal1(k1_funct_1(U_3958,U_3957))
| ~ sP572(U_3958,U_3957) )
& ! [U_3958,U_3957] :
( v1_ordinal1(k1_funct_1(U_3958,U_3957))
| ~ sP572(U_3958,U_3957) )
& ! [U_3958,U_3957] :
( sP572(U_3958,U_3957)
| ~ v3_ordinal1(U_3957)
| ~ v1_ordinal2(U_3958)
| ~ v5_ordinal1(U_3958)
| ~ v1_funct_1(U_3958)
| ~ v1_relat_1(U_3958) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP572])],[f_1408_2]) ).
cnf(f_1408_4,plain,
( sP572(U_3958,U_3957)
| ~ v3_ordinal1(U_3957)
| ~ v1_ordinal2(U_3958)
| ~ v5_ordinal1(U_3958)
| ~ v1_funct_1(U_3958)
| ~ v1_relat_1(U_3958) ),
inference(clausify,[status(thm)],[f_1408_3]) ).
cnf(f_1408_5,plain,
( v1_ordinal1(k1_funct_1(U_3958,U_3957))
| ~ sP572(U_3958,U_3957) ),
inference(clausify,[status(thm)],[f_1408_3]) ).
cnf(f_1408_6,plain,
( v2_ordinal1(k1_funct_1(U_3958,U_3957))
| ~ sP572(U_3958,U_3957) ),
inference(clausify,[status(thm)],[f_1408_3]) ).
cnf(f_1408_7,plain,
( v3_ordinal1(k1_funct_1(U_3958,U_3957))
| ~ sP572(U_3958,U_3957) ),
inference(clausify,[status(thm)],[f_1408_3]) ).
fof(f_1409_1,plain,
! [A,B] :
( ( v1_ordinal2(k2_funcop_1(A,B))
& v1_funct_1(k2_funcop_1(A,B))
& v1_relat_1(k2_funcop_1(A,B)) )
| ~ v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[fc4_ordinal2]) ).
fof(f_1409_2,plain,
! [U_3960,U_3959] :
( ( v1_ordinal2(k2_funcop_1(U_3960,U_3959))
& v1_funct_1(k2_funcop_1(U_3960,U_3959))
& v1_relat_1(k2_funcop_1(U_3960,U_3959)) )
| ~ v3_ordinal1(U_3959) ),
inference(variable_rename,[status(thm)],[f_1409_1]) ).
fof(f_1409_3,plain,
( ! [U_3959,U_3960] :
( v1_ordinal2(k2_funcop_1(U_3960,U_3959))
| ~ sP573(U_3959,U_3960) )
& ! [U_3959,U_3960] :
( v1_funct_1(k2_funcop_1(U_3960,U_3959))
| ~ sP573(U_3959,U_3960) )
& ! [U_3959,U_3960] :
( v1_relat_1(k2_funcop_1(U_3960,U_3959))
| ~ sP573(U_3959,U_3960) )
& ! [U_3959,U_3960] :
( sP573(U_3959,U_3960)
| ~ v3_ordinal1(U_3959) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP573])],[f_1409_2]) ).
cnf(f_1409_4,plain,
( sP573(U_3959,U_3960)
| ~ v3_ordinal1(U_3959) ),
inference(clausify,[status(thm)],[f_1409_3]) ).
cnf(f_1409_5,plain,
( v1_relat_1(k2_funcop_1(U_3960,U_3959))
| ~ sP573(U_3959,U_3960) ),
inference(clausify,[status(thm)],[f_1409_3]) ).
cnf(f_1409_6,plain,
( v1_funct_1(k2_funcop_1(U_3960,U_3959))
| ~ sP573(U_3959,U_3960) ),
inference(clausify,[status(thm)],[f_1409_3]) ).
cnf(f_1409_7,plain,
( v1_ordinal2(k2_funcop_1(U_3960,U_3959))
| ~ sP573(U_3959,U_3960) ),
inference(clausify,[status(thm)],[f_1409_3]) ).
fof(f_1410_1,plain,
! [A] :
( ! [B] :
( ( ( r1_ordinal1(A,B)
| ~ r1_ordinal1(k1_ordinal1(A),k1_ordinal1(B)) )
& ( r1_ordinal1(k1_ordinal1(A),k1_ordinal1(B))
| ~ r1_ordinal1(A,B) ) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t1_ordinal2]) ).
fof(f_1410_2,plain,
! [U_3962] :
( ! [U_3961] :
( ( ( r1_ordinal1(U_3962,U_3961)
| ~ r1_ordinal1(k1_ordinal1(U_3962),k1_ordinal1(U_3961)) )
& ( r1_ordinal1(k1_ordinal1(U_3962),k1_ordinal1(U_3961))
| ~ r1_ordinal1(U_3962,U_3961) ) )
| ~ v3_ordinal1(U_3961) )
| ~ v3_ordinal1(U_3962) ),
inference(variable_rename,[status(thm)],[f_1410_1]) ).
fof(f_1410_3,plain,
( ! [U_3961,U_3962] :
( r1_ordinal1(U_3962,U_3961)
| ~ r1_ordinal1(k1_ordinal1(U_3962),k1_ordinal1(U_3961))
| ~ sP574(U_3961,U_3962) )
& ! [U_3961,U_3962] :
( r1_ordinal1(k1_ordinal1(U_3962),k1_ordinal1(U_3961))
| ~ r1_ordinal1(U_3962,U_3961)
| ~ sP574(U_3961,U_3962) )
& ! [U_3961,U_3962] :
( sP574(U_3961,U_3962)
| ~ v3_ordinal1(U_3961)
| ~ v3_ordinal1(U_3962) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP574])],[f_1410_2]) ).
cnf(f_1410_4,plain,
( sP574(U_3961,U_3962)
| ~ v3_ordinal1(U_3961)
| ~ v3_ordinal1(U_3962) ),
inference(clausify,[status(thm)],[f_1410_3]) ).
cnf(f_1410_5,plain,
( r1_ordinal1(k1_ordinal1(U_3962),k1_ordinal1(U_3961))
| ~ r1_ordinal1(U_3962,U_3961)
| ~ sP574(U_3961,U_3962) ),
inference(clausify,[status(thm)],[f_1410_3]) ).
cnf(f_1410_6,plain,
( r1_ordinal1(U_3962,U_3961)
| ~ r1_ordinal1(k1_ordinal1(U_3962),k1_ordinal1(U_3961))
| ~ sP574(U_3961,U_3962) ),
inference(clausify,[status(thm)],[f_1410_3]) ).
fof(f_1411_1,plain,
! [A] :
( k3_tarski(k1_ordinal1(A)) = A
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t2_ordinal2]) ).
fof(f_1411_2,plain,
! [U_3963] :
( k3_tarski(k1_ordinal1(U_3963)) = U_3963
| ~ v3_ordinal1(U_3963) ),
inference(variable_rename,[status(thm)],[f_1411_1]) ).
fof(f_1411_3,plain,
! [U_3963] :
( k3_tarski(k1_ordinal1(U_3963)) = U_3963
| ~ v3_ordinal1(U_3963) ),
inference(definitional_conversion,[status(esa)],[f_1411_2]) ).
cnf(f_1411_4,plain,
( k3_tarski(k1_ordinal1(U_3963)) = U_3963
| ~ v3_ordinal1(U_3963) ),
inference(clausify,[status(thm)],[f_1411_3]) ).
fof(f_1412_1,plain,
! [A] :
( r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A))
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t3_ordinal2]) ).
fof(f_1412_2,plain,
! [U_3964] :
( r1_tarski(k1_ordinal1(U_3964),k1_zfmisc_1(U_3964))
| ~ v3_ordinal1(U_3964) ),
inference(variable_rename,[status(thm)],[f_1412_1]) ).
fof(f_1412_3,plain,
! [U_3964] :
( r1_tarski(k1_ordinal1(U_3964),k1_zfmisc_1(U_3964))
| ~ v3_ordinal1(U_3964) ),
inference(definitional_conversion,[status(esa)],[f_1412_2]) ).
cnf(f_1412_4,plain,
( r1_tarski(k1_ordinal1(U_3964),k1_zfmisc_1(U_3964))
| ~ v3_ordinal1(U_3964) ),
inference(clausify,[status(thm)],[f_1412_3]) ).
fof(f_1413_1,plain,
v4_ordinal1(k1_xboole_0),
inference(fof_nnf,[status(thm)],[t4_ordinal2]) ).
fof(f_1413_2,plain,
v4_ordinal1(k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_1413_1]) ).
cnf(f_1413_3,plain,
v4_ordinal1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1413_2]) ).
fof(f_1414_1,plain,
! [A] :
( r1_ordinal1(k3_tarski(A),A)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t5_ordinal2]) ).
fof(f_1414_2,plain,
! [U_3965] :
( r1_ordinal1(k3_tarski(U_3965),U_3965)
| ~ v3_ordinal1(U_3965) ),
inference(variable_rename,[status(thm)],[f_1414_1]) ).
fof(f_1414_3,plain,
! [U_3965] :
( r1_ordinal1(k3_tarski(U_3965),U_3965)
| ~ v3_ordinal1(U_3965) ),
inference(definitional_conversion,[status(esa)],[f_1414_2]) ).
cnf(f_1414_4,plain,
( r1_ordinal1(k3_tarski(U_3965),U_3965)
| ~ v3_ordinal1(U_3965) ),
inference(clausify,[status(thm)],[f_1414_3]) ).
fof(f_1415_1,plain,
! [A] :
( k1_ordinal2(A) = k1_funct_1(A,k3_tarski(k1_relat_1(A)))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d1_ordinal2]) ).
fof(f_1415_2,plain,
! [U_3966] :
( k1_ordinal2(U_3966) = k1_funct_1(U_3966,k3_tarski(k1_relat_1(U_3966)))
| ~ v5_ordinal1(U_3966)
| ~ v1_funct_1(U_3966)
| ~ v1_relat_1(U_3966) ),
inference(variable_rename,[status(thm)],[f_1415_1]) ).
fof(f_1415_3,plain,
! [U_3966] :
( k1_ordinal2(U_3966) = k1_funct_1(U_3966,k3_tarski(k1_relat_1(U_3966)))
| ~ v5_ordinal1(U_3966)
| ~ v1_funct_1(U_3966)
| ~ v1_relat_1(U_3966) ),
inference(definitional_conversion,[status(esa)],[f_1415_2]) ).
cnf(f_1415_4,plain,
( k1_ordinal2(U_3966) = k1_funct_1(U_3966,k3_tarski(k1_relat_1(U_3966)))
| ~ v5_ordinal1(U_3966)
| ~ v1_funct_1(U_3966)
| ~ v1_relat_1(U_3966) ),
inference(clausify,[status(thm)],[f_1415_3]) ).
fof(f_1416_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_ordinal2]) ).
fof(f_1416_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1416_1]) ).
cnf(f_1416_3,plain,
$true,
inference(clausify,[status(thm)],[f_1416_2]) ).
fof(f_1417_1,plain,
! [A] :
( ! [B] :
( k1_ordinal2(B) = k1_funct_1(B,A)
| k1_relat_1(B) != k1_ordinal1(A)
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t7_ordinal2]) ).
fof(f_1417_2,plain,
! [U_3968] :
( ! [U_3967] :
( k1_ordinal2(U_3967) = k1_funct_1(U_3967,U_3968)
| k1_relat_1(U_3967) != k1_ordinal1(U_3968)
| ~ v5_ordinal1(U_3967)
| ~ v1_funct_1(U_3967)
| ~ v1_relat_1(U_3967) )
| ~ v3_ordinal1(U_3968) ),
inference(variable_rename,[status(thm)],[f_1417_1]) ).
fof(f_1417_3,plain,
! [U_3967,U_3968] :
( k1_ordinal2(U_3967) = k1_funct_1(U_3967,U_3968)
| k1_relat_1(U_3967) != k1_ordinal1(U_3968)
| ~ v5_ordinal1(U_3967)
| ~ v1_funct_1(U_3967)
| ~ v1_relat_1(U_3967)
| ~ v3_ordinal1(U_3968) ),
inference(definitional_conversion,[status(esa)],[f_1417_2]) ).
cnf(f_1417_4,plain,
( k1_ordinal2(U_3967) = k1_funct_1(U_3967,U_3968)
| k1_relat_1(U_3967) != k1_ordinal1(U_3968)
| ~ v5_ordinal1(U_3967)
| ~ v1_funct_1(U_3967)
| ~ v1_relat_1(U_3967)
| ~ v3_ordinal1(U_3968) ),
inference(clausify,[status(thm)],[f_1417_3]) ).
fof(f_1418_1,plain,
! [A,B] :
( ( B = k2_ordinal2(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& v3_ordinal1(C)
& r2_hidden(C,A) )
| ( ( ~ v3_ordinal1(C)
| ~ r2_hidden(C,A) )
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ~ v3_ordinal1(C)
| ~ r2_hidden(C,A) )
& ( ( v3_ordinal1(C)
& r2_hidden(C,A) )
| ~ r2_hidden(C,B) ) )
| B != k2_ordinal2(A) ) ),
inference(fof_nnf,[status(thm)],[d2_ordinal2]) ).
fof(f_1418_2,plain,
! [U_3972,U_3971] :
( ( U_3971 = k2_ordinal2(U_3972)
| ? [U_3970] :
( ( ~ r2_hidden(U_3970,U_3971)
& v3_ordinal1(U_3970)
& r2_hidden(U_3970,U_3972) )
| ( ( ~ v3_ordinal1(U_3970)
| ~ r2_hidden(U_3970,U_3972) )
& r2_hidden(U_3970,U_3971) ) ) )
& ( ! [U_3969] :
( ( r2_hidden(U_3969,U_3971)
| ~ v3_ordinal1(U_3969)
| ~ r2_hidden(U_3969,U_3972) )
& ( ( v3_ordinal1(U_3969)
& r2_hidden(U_3969,U_3972) )
| ~ r2_hidden(U_3969,U_3971) ) )
| U_3971 != k2_ordinal2(U_3972) ) ),
inference(variable_rename,[status(thm)],[f_1418_1]) ).
fof(f_1418_3,plain,
( ! [U_3980,U_3978] :
( U_3978 = k2_ordinal2(U_3980)
| ? [U_3976] :
( ~ r2_hidden(U_3976,U_3978)
& v3_ordinal1(U_3976)
& r2_hidden(U_3976,U_3980) )
| ? [U_3975] :
( ( ~ v3_ordinal1(U_3975)
| ~ r2_hidden(U_3975,U_3980) )
& r2_hidden(U_3975,U_3978) ) )
& ! [U_3979,U_3977] :
( ( ! [U_3974] :
( r2_hidden(U_3974,U_3977)
| ~ v3_ordinal1(U_3974)
| ~ r2_hidden(U_3974,U_3979) )
& ! [U_3973] :
( ( v3_ordinal1(U_3973)
& r2_hidden(U_3973,U_3979) )
| ~ r2_hidden(U_3973,U_3977) ) )
| U_3977 != k2_ordinal2(U_3979) ) ),
inference(miniscope,[status(thm)],[f_1418_2]) ).
fof(f_1418_4,plain,
( ! [U_3980,U_3978] :
( U_3978 = k2_ordinal2(U_3980)
| ? [U_3976] :
( ~ r2_hidden(U_3976,U_3978)
& v3_ordinal1(U_3976)
& r2_hidden(U_3976,U_3980) )
| ( ( ~ v3_ordinal1(sK377(U_3980,U_3978))
| ~ r2_hidden(sK377(U_3980,U_3978),U_3980) )
& r2_hidden(sK377(U_3980,U_3978),U_3978) ) )
& ! [U_3979,U_3977] :
( ( ! [U_3974] :
( r2_hidden(U_3974,U_3977)
| ~ v3_ordinal1(U_3974)
| ~ r2_hidden(U_3974,U_3979) )
& ! [U_3973] :
( ( v3_ordinal1(U_3973)
& r2_hidden(U_3973,U_3979) )
| ~ r2_hidden(U_3973,U_3977) ) )
| U_3977 != k2_ordinal2(U_3979) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK377]),skolemize(U_3975,sK377(U_3980,U_3978))],[f_1418_3]) ).
fof(f_1418_5,plain,
( ! [U_3980,U_3978] :
( U_3978 = k2_ordinal2(U_3980)
| ( ~ r2_hidden(sK378(U_3980,U_3978),U_3978)
& v3_ordinal1(sK378(U_3980,U_3978))
& r2_hidden(sK378(U_3980,U_3978),U_3980) )
| ( ( ~ v3_ordinal1(sK377(U_3980,U_3978))
| ~ r2_hidden(sK377(U_3980,U_3978),U_3980) )
& r2_hidden(sK377(U_3980,U_3978),U_3978) ) )
& ! [U_3979,U_3977] :
( ( ! [U_3974] :
( r2_hidden(U_3974,U_3977)
| ~ v3_ordinal1(U_3974)
| ~ r2_hidden(U_3974,U_3979) )
& ! [U_3973] :
( ( v3_ordinal1(U_3973)
& r2_hidden(U_3973,U_3979) )
| ~ r2_hidden(U_3973,U_3977) ) )
| U_3977 != k2_ordinal2(U_3979) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK378]),skolemize(U_3976,sK378(U_3980,U_3978))],[f_1418_4]) ).
fof(f_1418_6,plain,
( ! [U_3980,U_3978] :
( ~ r2_hidden(sK378(U_3980,U_3978),U_3978)
| ~ sP578(U_3980,U_3978) )
& ! [U_3980,U_3978] :
( v3_ordinal1(sK378(U_3980,U_3978))
| ~ sP578(U_3980,U_3978) )
& ! [U_3980,U_3978] :
( r2_hidden(sK378(U_3980,U_3978),U_3980)
| ~ sP578(U_3980,U_3978) )
& ! [U_3980,U_3978] :
( ~ v3_ordinal1(sK377(U_3980,U_3978))
| ~ r2_hidden(sK377(U_3980,U_3978),U_3980)
| ~ sP577(U_3980,U_3978) )
& ! [U_3980,U_3978] :
( r2_hidden(sK377(U_3980,U_3978),U_3978)
| ~ sP577(U_3980,U_3978) )
& ! [U_3979,U_3973] :
( v3_ordinal1(U_3973)
| ~ sP575(U_3979,U_3973) )
& ! [U_3979,U_3973] :
( r2_hidden(U_3973,U_3979)
| ~ sP575(U_3979,U_3973) )
& ! [U_3979,U_3973,U_3974,U_3977] :
( r2_hidden(U_3974,U_3977)
| ~ v3_ordinal1(U_3974)
| ~ r2_hidden(U_3974,U_3979)
| ~ sP576(U_3979,U_3973,U_3974,U_3977) )
& ! [U_3979,U_3973,U_3974,U_3977] :
( sP575(U_3979,U_3973)
| ~ r2_hidden(U_3973,U_3977)
| ~ sP576(U_3979,U_3973,U_3974,U_3977) )
& ! [U_3980,U_3978] :
( U_3978 = k2_ordinal2(U_3980)
| sP578(U_3980,U_3978)
| sP577(U_3980,U_3978) )
& ! [U_3979,U_3973,U_3974,U_3977] :
( sP576(U_3979,U_3973,U_3974,U_3977)
| U_3977 != k2_ordinal2(U_3979) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP575,sP576,sP577,sP578])],[f_1418_5]) ).
cnf(f_1418_7,plain,
( sP576(U_3979,U_3973,U_3974,U_3977)
| U_3977 != k2_ordinal2(U_3979) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_8,plain,
( U_3978 = k2_ordinal2(U_3980)
| sP578(U_3980,U_3978)
| sP577(U_3980,U_3978) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_9,plain,
( sP575(U_3979,U_3973)
| ~ r2_hidden(U_3973,U_3977)
| ~ sP576(U_3979,U_3973,U_3974,U_3977) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_10,plain,
( r2_hidden(U_3974,U_3977)
| ~ v3_ordinal1(U_3974)
| ~ r2_hidden(U_3974,U_3979)
| ~ sP576(U_3979,U_3973,U_3974,U_3977) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_11,plain,
( r2_hidden(U_3973,U_3979)
| ~ sP575(U_3979,U_3973) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_12,plain,
( v3_ordinal1(U_3973)
| ~ sP575(U_3979,U_3973) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_13,plain,
( r2_hidden(sK377(U_3980,U_3978),U_3978)
| ~ sP577(U_3980,U_3978) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_14,plain,
( ~ v3_ordinal1(sK377(U_3980,U_3978))
| ~ r2_hidden(sK377(U_3980,U_3978),U_3980)
| ~ sP577(U_3980,U_3978) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_15,plain,
( r2_hidden(sK378(U_3980,U_3978),U_3980)
| ~ sP578(U_3980,U_3978) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_16,plain,
( v3_ordinal1(sK378(U_3980,U_3978))
| ~ sP578(U_3980,U_3978) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
cnf(f_1418_17,plain,
( ~ r2_hidden(sK378(U_3980,U_3978),U_3978)
| ~ sP578(U_3980,U_3978) ),
inference(clausify,[status(thm)],[f_1418_6]) ).
fof(f_1419_1,plain,
! [A,B] :
( ( B = k3_ordinal2(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& ? [D] :
( v4_ordinal1(D)
& C = D
& v3_ordinal1(D) )
& r2_hidden(C,A) )
| ( ( ! [D] :
( ~ v4_ordinal1(D)
| C != D
| ~ v3_ordinal1(D) )
| ~ r2_hidden(C,A) )
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ! [D] :
( ~ v4_ordinal1(D)
| C != D
| ~ v3_ordinal1(D) )
| ~ r2_hidden(C,A) )
& ( ( ? [D] :
( v4_ordinal1(D)
& C = D
& v3_ordinal1(D) )
& r2_hidden(C,A) )
| ~ r2_hidden(C,B) ) )
| B != k3_ordinal2(A) ) ),
inference(fof_nnf,[status(thm)],[d3_ordinal2]) ).
fof(f_1419_2,plain,
! [U_3988,U_3987] :
( ( U_3987 = k3_ordinal2(U_3988)
| ? [U_3986] :
( ( ~ r2_hidden(U_3986,U_3987)
& ? [U_3985] :
( v4_ordinal1(U_3985)
& U_3986 = U_3985
& v3_ordinal1(U_3985) )
& r2_hidden(U_3986,U_3988) )
| ( ( ! [U_3984] :
( ~ v4_ordinal1(U_3984)
| U_3986 != U_3984
| ~ v3_ordinal1(U_3984) )
| ~ r2_hidden(U_3986,U_3988) )
& r2_hidden(U_3986,U_3987) ) ) )
& ( ! [U_3983] :
( ( r2_hidden(U_3983,U_3987)
| ! [U_3982] :
( ~ v4_ordinal1(U_3982)
| U_3983 != U_3982
| ~ v3_ordinal1(U_3982) )
| ~ r2_hidden(U_3983,U_3988) )
& ( ( ? [U_3981] :
( v4_ordinal1(U_3981)
& U_3983 = U_3981
& v3_ordinal1(U_3981) )
& r2_hidden(U_3983,U_3988) )
| ~ r2_hidden(U_3983,U_3987) ) )
| U_3987 != k3_ordinal2(U_3988) ) ),
inference(variable_rename,[status(thm)],[f_1419_1]) ).
fof(f_1419_3,plain,
( ! [U_3996,U_3994] :
( U_3994 = k3_ordinal2(U_3996)
| ? [U_3992] :
( ~ r2_hidden(U_3992,U_3994)
& ? [U_3985] :
( v4_ordinal1(U_3985)
& U_3992 = U_3985
& v3_ordinal1(U_3985) )
& r2_hidden(U_3992,U_3996) )
| ? [U_3991] :
( ( ! [U_3984] :
( ~ v4_ordinal1(U_3984)
| U_3991 != U_3984
| ~ v3_ordinal1(U_3984) )
| ~ r2_hidden(U_3991,U_3996) )
& r2_hidden(U_3991,U_3994) ) )
& ! [U_3995,U_3993] :
( ( ! [U_3990] :
( r2_hidden(U_3990,U_3993)
| ! [U_3982] :
( ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982) )
| ~ r2_hidden(U_3990,U_3995) )
& ! [U_3989] :
( ( ? [U_3981] :
( v4_ordinal1(U_3981)
& U_3989 = U_3981
& v3_ordinal1(U_3981) )
& r2_hidden(U_3989,U_3995) )
| ~ r2_hidden(U_3989,U_3993) ) )
| U_3993 != k3_ordinal2(U_3995) ) ),
inference(miniscope,[status(thm)],[f_1419_2]) ).
fof(f_1419_4,plain,
( ! [U_3996,U_3994] :
( U_3994 = k3_ordinal2(U_3996)
| ? [U_3992] :
( ~ r2_hidden(U_3992,U_3994)
& ? [U_3985] :
( v4_ordinal1(U_3985)
& U_3992 = U_3985
& v3_ordinal1(U_3985) )
& r2_hidden(U_3992,U_3996) )
| ? [U_3991] :
( ( ! [U_3984] :
( ~ v4_ordinal1(U_3984)
| U_3991 != U_3984
| ~ v3_ordinal1(U_3984) )
| ~ r2_hidden(U_3991,U_3996) )
& r2_hidden(U_3991,U_3994) ) )
& ! [U_3995,U_3993] :
( ( ! [U_3990] :
( r2_hidden(U_3990,U_3993)
| ! [U_3982] :
( ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982) )
| ~ r2_hidden(U_3990,U_3995) )
& ! [U_3989] :
( ( v4_ordinal1(sK379(U_3995,U_3993,U_3989))
& U_3989 = sK379(U_3995,U_3993,U_3989)
& v3_ordinal1(sK379(U_3995,U_3993,U_3989))
& r2_hidden(U_3989,U_3995) )
| ~ r2_hidden(U_3989,U_3993) ) )
| U_3993 != k3_ordinal2(U_3995) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK379]),skolemize(U_3981,sK379(U_3995,U_3993,U_3989))],[f_1419_3]) ).
fof(f_1419_5,plain,
( ! [U_3996,U_3994] :
( U_3994 = k3_ordinal2(U_3996)
| ? [U_3992] :
( ~ r2_hidden(U_3992,U_3994)
& ? [U_3985] :
( v4_ordinal1(U_3985)
& U_3992 = U_3985
& v3_ordinal1(U_3985) )
& r2_hidden(U_3992,U_3996) )
| ( ( ! [U_3984] :
( ~ v4_ordinal1(U_3984)
| sK380(U_3996,U_3994) != U_3984
| ~ v3_ordinal1(U_3984) )
| ~ r2_hidden(sK380(U_3996,U_3994),U_3996) )
& r2_hidden(sK380(U_3996,U_3994),U_3994) ) )
& ! [U_3995,U_3993] :
( ( ! [U_3990] :
( r2_hidden(U_3990,U_3993)
| ! [U_3982] :
( ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982) )
| ~ r2_hidden(U_3990,U_3995) )
& ! [U_3989] :
( ( v4_ordinal1(sK379(U_3995,U_3993,U_3989))
& U_3989 = sK379(U_3995,U_3993,U_3989)
& v3_ordinal1(sK379(U_3995,U_3993,U_3989))
& r2_hidden(U_3989,U_3995) )
| ~ r2_hidden(U_3989,U_3993) ) )
| U_3993 != k3_ordinal2(U_3995) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK380]),skolemize(U_3991,sK380(U_3996,U_3994))],[f_1419_4]) ).
fof(f_1419_6,plain,
( ! [U_3996,U_3994] :
( U_3994 = k3_ordinal2(U_3996)
| ( ~ r2_hidden(sK381(U_3996,U_3994),U_3994)
& ? [U_3985] :
( v4_ordinal1(U_3985)
& sK381(U_3996,U_3994) = U_3985
& v3_ordinal1(U_3985) )
& r2_hidden(sK381(U_3996,U_3994),U_3996) )
| ( ( ! [U_3984] :
( ~ v4_ordinal1(U_3984)
| sK380(U_3996,U_3994) != U_3984
| ~ v3_ordinal1(U_3984) )
| ~ r2_hidden(sK380(U_3996,U_3994),U_3996) )
& r2_hidden(sK380(U_3996,U_3994),U_3994) ) )
& ! [U_3995,U_3993] :
( ( ! [U_3990] :
( r2_hidden(U_3990,U_3993)
| ! [U_3982] :
( ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982) )
| ~ r2_hidden(U_3990,U_3995) )
& ! [U_3989] :
( ( v4_ordinal1(sK379(U_3995,U_3993,U_3989))
& U_3989 = sK379(U_3995,U_3993,U_3989)
& v3_ordinal1(sK379(U_3995,U_3993,U_3989))
& r2_hidden(U_3989,U_3995) )
| ~ r2_hidden(U_3989,U_3993) ) )
| U_3993 != k3_ordinal2(U_3995) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK381]),skolemize(U_3992,sK381(U_3996,U_3994))],[f_1419_5]) ).
fof(f_1419_7,plain,
( ! [U_3996,U_3994] :
( U_3994 = k3_ordinal2(U_3996)
| ( ~ r2_hidden(sK381(U_3996,U_3994),U_3994)
& v4_ordinal1(sK382(U_3996,U_3994))
& sK381(U_3996,U_3994) = sK382(U_3996,U_3994)
& v3_ordinal1(sK382(U_3996,U_3994))
& r2_hidden(sK381(U_3996,U_3994),U_3996) )
| ( ( ! [U_3984] :
( ~ v4_ordinal1(U_3984)
| sK380(U_3996,U_3994) != U_3984
| ~ v3_ordinal1(U_3984) )
| ~ r2_hidden(sK380(U_3996,U_3994),U_3996) )
& r2_hidden(sK380(U_3996,U_3994),U_3994) ) )
& ! [U_3995,U_3993] :
( ( ! [U_3990] :
( r2_hidden(U_3990,U_3993)
| ! [U_3982] :
( ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982) )
| ~ r2_hidden(U_3990,U_3995) )
& ! [U_3989] :
( ( v4_ordinal1(sK379(U_3995,U_3993,U_3989))
& U_3989 = sK379(U_3995,U_3993,U_3989)
& v3_ordinal1(sK379(U_3995,U_3993,U_3989))
& r2_hidden(U_3989,U_3995) )
| ~ r2_hidden(U_3989,U_3993) ) )
| U_3993 != k3_ordinal2(U_3995) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK382]),skolemize(U_3985,sK382(U_3996,U_3994))],[f_1419_6]) ).
fof(f_1419_8,plain,
( ! [U_3996,U_3994] :
( ~ r2_hidden(sK381(U_3996,U_3994),U_3994)
| ~ sP582(U_3996,U_3994) )
& ! [U_3996,U_3994] :
( v4_ordinal1(sK382(U_3996,U_3994))
| ~ sP582(U_3996,U_3994) )
& ! [U_3996,U_3994] :
( sK381(U_3996,U_3994) = sK382(U_3996,U_3994)
| ~ sP582(U_3996,U_3994) )
& ! [U_3996,U_3994] :
( v3_ordinal1(sK382(U_3996,U_3994))
| ~ sP582(U_3996,U_3994) )
& ! [U_3996,U_3994] :
( r2_hidden(sK381(U_3996,U_3994),U_3996)
| ~ sP582(U_3996,U_3994) )
& ! [U_3996,U_3984,U_3994] :
( ~ v4_ordinal1(U_3984)
| sK380(U_3996,U_3994) != U_3984
| ~ v3_ordinal1(U_3984)
| ~ r2_hidden(sK380(U_3996,U_3994),U_3996)
| ~ sP581(U_3996,U_3984,U_3994) )
& ! [U_3996,U_3984,U_3994] :
( r2_hidden(sK380(U_3996,U_3994),U_3994)
| ~ sP581(U_3996,U_3984,U_3994) )
& ! [U_3989,U_3993,U_3995] :
( v4_ordinal1(sK379(U_3995,U_3993,U_3989))
| ~ sP579(U_3989,U_3993,U_3995) )
& ! [U_3989,U_3993,U_3995] :
( U_3989 = sK379(U_3995,U_3993,U_3989)
| ~ sP579(U_3989,U_3993,U_3995) )
& ! [U_3989,U_3993,U_3995] :
( v3_ordinal1(sK379(U_3995,U_3993,U_3989))
| ~ sP579(U_3989,U_3993,U_3995) )
& ! [U_3989,U_3993,U_3995] :
( r2_hidden(U_3989,U_3995)
| ~ sP579(U_3989,U_3993,U_3995) )
& ! [U_3982,U_3989,U_3990,U_3993,U_3995] :
( r2_hidden(U_3990,U_3993)
| ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982)
| ~ r2_hidden(U_3990,U_3995)
| ~ sP580(U_3982,U_3989,U_3990,U_3993,U_3995) )
& ! [U_3982,U_3989,U_3990,U_3993,U_3995] :
( sP579(U_3989,U_3993,U_3995)
| ~ r2_hidden(U_3989,U_3993)
| ~ sP580(U_3982,U_3989,U_3990,U_3993,U_3995) )
& ! [U_3996,U_3984,U_3994] :
( U_3994 = k3_ordinal2(U_3996)
| sP582(U_3996,U_3994)
| sP581(U_3996,U_3984,U_3994) )
& ! [U_3982,U_3989,U_3990,U_3993,U_3995] :
( sP580(U_3982,U_3989,U_3990,U_3993,U_3995)
| U_3993 != k3_ordinal2(U_3995) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP579,sP580,sP581,sP582])],[f_1419_7]) ).
cnf(f_1419_9,plain,
( sP580(U_3982,U_3989,U_3990,U_3993,U_3995)
| U_3993 != k3_ordinal2(U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_10,plain,
( U_3994 = k3_ordinal2(U_3996)
| sP582(U_3996,U_3994)
| sP581(U_3996,U_3984,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_11,plain,
( sP579(U_3989,U_3993,U_3995)
| ~ r2_hidden(U_3989,U_3993)
| ~ sP580(U_3982,U_3989,U_3990,U_3993,U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_12,plain,
( r2_hidden(U_3990,U_3993)
| ~ v4_ordinal1(U_3982)
| U_3990 != U_3982
| ~ v3_ordinal1(U_3982)
| ~ r2_hidden(U_3990,U_3995)
| ~ sP580(U_3982,U_3989,U_3990,U_3993,U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_13,plain,
( r2_hidden(U_3989,U_3995)
| ~ sP579(U_3989,U_3993,U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_14,plain,
( v3_ordinal1(sK379(U_3995,U_3993,U_3989))
| ~ sP579(U_3989,U_3993,U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_15,plain,
( U_3989 = sK379(U_3995,U_3993,U_3989)
| ~ sP579(U_3989,U_3993,U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_16,plain,
( v4_ordinal1(sK379(U_3995,U_3993,U_3989))
| ~ sP579(U_3989,U_3993,U_3995) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_17,plain,
( r2_hidden(sK380(U_3996,U_3994),U_3994)
| ~ sP581(U_3996,U_3984,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_18,plain,
( ~ v4_ordinal1(U_3984)
| sK380(U_3996,U_3994) != U_3984
| ~ v3_ordinal1(U_3984)
| ~ r2_hidden(sK380(U_3996,U_3994),U_3996)
| ~ sP581(U_3996,U_3984,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_19,plain,
( r2_hidden(sK381(U_3996,U_3994),U_3996)
| ~ sP582(U_3996,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_20,plain,
( v3_ordinal1(sK382(U_3996,U_3994))
| ~ sP582(U_3996,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_21,plain,
( sK381(U_3996,U_3994) = sK382(U_3996,U_3994)
| ~ sP582(U_3996,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_22,plain,
( v4_ordinal1(sK382(U_3996,U_3994))
| ~ sP582(U_3996,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
cnf(f_1419_23,plain,
( ~ r2_hidden(sK381(U_3996,U_3994),U_3994)
| ~ sP582(U_3996,U_3994) ),
inference(clausify,[status(thm)],[f_1419_8]) ).
fof(f_1420_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_ordinal2]) ).
fof(f_1420_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1420_1]) ).
cnf(f_1420_3,plain,
$true,
inference(clausify,[status(thm)],[f_1420_2]) ).
fof(f_1421_1,plain,
! [A] : r1_tarski(k2_ordinal2(A),A),
inference(fof_nnf,[status(thm)],[t9_ordinal2]) ).
fof(f_1421_2,plain,
! [U_3997] : r1_tarski(k2_ordinal2(U_3997),U_3997),
inference(variable_rename,[status(thm)],[f_1421_1]) ).
fof(f_1421_3,plain,
! [U_3997] : r1_tarski(k2_ordinal2(U_3997),U_3997),
inference(definitional_conversion,[status(esa)],[f_1421_2]) ).
cnf(f_1421_4,plain,
r1_tarski(k2_ordinal2(U_3997),U_3997),
inference(clausify,[status(thm)],[f_1421_3]) ).
fof(f_1422_1,plain,
! [A] :
( k2_ordinal2(A) = A
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t10_ordinal2]) ).
fof(f_1422_2,plain,
! [U_3998] :
( k2_ordinal2(U_3998) = U_3998
| ~ v3_ordinal1(U_3998) ),
inference(variable_rename,[status(thm)],[f_1422_1]) ).
fof(f_1422_3,plain,
! [U_3998] :
( k2_ordinal2(U_3998) = U_3998
| ~ v3_ordinal1(U_3998) ),
inference(definitional_conversion,[status(esa)],[f_1422_2]) ).
cnf(f_1422_4,plain,
( k2_ordinal2(U_3998) = U_3998
| ~ v3_ordinal1(U_3998) ),
inference(clausify,[status(thm)],[f_1422_3]) ).
fof(f_1423_1,plain,
! [A,B] :
( r1_tarski(k2_ordinal2(A),k2_ordinal2(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t11_ordinal2]) ).
fof(f_1423_2,plain,
! [U_4000,U_3999] :
( r1_tarski(k2_ordinal2(U_4000),k2_ordinal2(U_3999))
| ~ r1_tarski(U_4000,U_3999) ),
inference(variable_rename,[status(thm)],[f_1423_1]) ).
fof(f_1423_3,plain,
! [U_3999,U_4000] :
( r1_tarski(k2_ordinal2(U_4000),k2_ordinal2(U_3999))
| ~ r1_tarski(U_4000,U_3999) ),
inference(definitional_conversion,[status(esa)],[f_1423_2]) ).
cnf(f_1423_4,plain,
( r1_tarski(k2_ordinal2(U_4000),k2_ordinal2(U_3999))
| ~ r1_tarski(U_4000,U_3999) ),
inference(clausify,[status(thm)],[f_1423_3]) ).
fof(f_1424_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_ordinal2]) ).
fof(f_1424_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1424_1]) ).
cnf(f_1424_3,plain,
$true,
inference(clausify,[status(thm)],[f_1424_2]) ).
fof(f_1425_1,plain,
! [A] : r1_tarski(k3_ordinal2(A),A),
inference(fof_nnf,[status(thm)],[t13_ordinal2]) ).
fof(f_1425_2,plain,
! [U_4001] : r1_tarski(k3_ordinal2(U_4001),U_4001),
inference(variable_rename,[status(thm)],[f_1425_1]) ).
fof(f_1425_3,plain,
! [U_4001] : r1_tarski(k3_ordinal2(U_4001),U_4001),
inference(definitional_conversion,[status(esa)],[f_1425_2]) ).
cnf(f_1425_4,plain,
r1_tarski(k3_ordinal2(U_4001),U_4001),
inference(clausify,[status(thm)],[f_1425_3]) ).
fof(f_1426_1,plain,
! [A,B] :
( r1_tarski(k3_ordinal2(A),k3_ordinal2(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t14_ordinal2]) ).
fof(f_1426_2,plain,
! [U_4003,U_4002] :
( r1_tarski(k3_ordinal2(U_4003),k3_ordinal2(U_4002))
| ~ r1_tarski(U_4003,U_4002) ),
inference(variable_rename,[status(thm)],[f_1426_1]) ).
fof(f_1426_3,plain,
! [U_4003,U_4002] :
( r1_tarski(k3_ordinal2(U_4003),k3_ordinal2(U_4002))
| ~ r1_tarski(U_4003,U_4002) ),
inference(definitional_conversion,[status(esa)],[f_1426_2]) ).
cnf(f_1426_4,plain,
( r1_tarski(k3_ordinal2(U_4003),k3_ordinal2(U_4002))
| ~ r1_tarski(U_4003,U_4002) ),
inference(clausify,[status(thm)],[f_1426_3]) ).
fof(f_1427_1,plain,
! [A] : r1_tarski(k3_ordinal2(A),k2_ordinal2(A)),
inference(fof_nnf,[status(thm)],[t15_ordinal2]) ).
fof(f_1427_2,plain,
! [U_4004] : r1_tarski(k3_ordinal2(U_4004),k2_ordinal2(U_4004)),
inference(variable_rename,[status(thm)],[f_1427_1]) ).
fof(f_1427_3,plain,
! [U_4004] : r1_tarski(k3_ordinal2(U_4004),k2_ordinal2(U_4004)),
inference(definitional_conversion,[status(esa)],[f_1427_2]) ).
cnf(f_1427_4,plain,
r1_tarski(k3_ordinal2(U_4004),k2_ordinal2(U_4004)),
inference(clausify,[status(thm)],[f_1427_3]) ).
fof(f_1428_1,plain,
! [A] :
( ? [B] :
( v4_ordinal1(B)
& r2_hidden(A,B)
& v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t16_ordinal2]) ).
fof(f_1428_2,plain,
! [U_4006] :
( ? [U_4005] :
( v4_ordinal1(U_4005)
& r2_hidden(U_4006,U_4005)
& v3_ordinal1(U_4005) )
| ~ v3_ordinal1(U_4006) ),
inference(variable_rename,[status(thm)],[f_1428_1]) ).
fof(f_1428_3,plain,
! [U_4006] :
( ( v4_ordinal1(sK383(U_4006))
& r2_hidden(U_4006,sK383(U_4006))
& v3_ordinal1(sK383(U_4006)) )
| ~ v3_ordinal1(U_4006) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK383]),skolemize(U_4005,sK383(U_4006))],[f_1428_2]) ).
fof(f_1428_4,plain,
( ! [U_4006] :
( v4_ordinal1(sK383(U_4006))
| ~ sP583(U_4006) )
& ! [U_4006] :
( r2_hidden(U_4006,sK383(U_4006))
| ~ sP583(U_4006) )
& ! [U_4006] :
( v3_ordinal1(sK383(U_4006))
| ~ sP583(U_4006) )
& ! [U_4006] :
( sP583(U_4006)
| ~ v3_ordinal1(U_4006) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP583])],[f_1428_3]) ).
cnf(f_1428_5,plain,
( sP583(U_4006)
| ~ v3_ordinal1(U_4006) ),
inference(clausify,[status(thm)],[f_1428_4]) ).
cnf(f_1428_6,plain,
( v3_ordinal1(sK383(U_4006))
| ~ sP583(U_4006) ),
inference(clausify,[status(thm)],[f_1428_4]) ).
cnf(f_1428_7,plain,
( r2_hidden(U_4006,sK383(U_4006))
| ~ sP583(U_4006) ),
inference(clausify,[status(thm)],[f_1428_4]) ).
cnf(f_1428_8,plain,
( v4_ordinal1(sK383(U_4006))
| ~ sP583(U_4006) ),
inference(clausify,[status(thm)],[f_1428_4]) ).
fof(f_1429_1,plain,
! [A] :
( v3_ordinal1(k1_setfam_1(A))
| ? [B] :
( ~ v3_ordinal1(B)
& r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[t17_ordinal2]) ).
fof(f_1429_2,plain,
! [U_4008] :
( v3_ordinal1(k1_setfam_1(U_4008))
| ? [U_4007] :
( ~ v3_ordinal1(U_4007)
& r2_hidden(U_4007,U_4008) ) ),
inference(variable_rename,[status(thm)],[f_1429_1]) ).
fof(f_1429_3,plain,
! [U_4008] :
( v3_ordinal1(k1_setfam_1(U_4008))
| ( ~ v3_ordinal1(sK384(U_4008))
& r2_hidden(sK384(U_4008),U_4008) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK384]),skolemize(U_4007,sK384(U_4008))],[f_1429_2]) ).
fof(f_1429_4,plain,
( ! [U_4008] :
( ~ v3_ordinal1(sK384(U_4008))
| ~ sP584(U_4008) )
& ! [U_4008] :
( r2_hidden(sK384(U_4008),U_4008)
| ~ sP584(U_4008) )
& ! [U_4008] :
( v3_ordinal1(k1_setfam_1(U_4008))
| sP584(U_4008) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP584])],[f_1429_3]) ).
cnf(f_1429_5,plain,
( v3_ordinal1(k1_setfam_1(U_4008))
| sP584(U_4008) ),
inference(clausify,[status(thm)],[f_1429_4]) ).
cnf(f_1429_6,plain,
( r2_hidden(sK384(U_4008),U_4008)
| ~ sP584(U_4008) ),
inference(clausify,[status(thm)],[f_1429_4]) ).
cnf(f_1429_7,plain,
( ~ v3_ordinal1(sK384(U_4008))
| ~ sP584(U_4008) ),
inference(clausify,[status(thm)],[f_1429_4]) ).
fof(f_1430_1,plain,
k4_ordinal2 = k1_ordinal1(k1_xboole_0),
inference(fof_nnf,[status(thm)],[d4_ordinal2]) ).
fof(f_1430_2,plain,
k4_ordinal2 = k1_ordinal1(k1_xboole_0),
inference(definitional_conversion,[status(esa)],[f_1430_1]) ).
cnf(f_1430_3,plain,
k4_ordinal2 = k1_ordinal1(k1_xboole_0),
inference(clausify,[status(thm)],[f_1430_2]) ).
fof(f_1431_1,plain,
! [A] :
( ( A = k5_ordinal2
| ? [B] :
( ~ r1_tarski(A,B)
& v4_ordinal1(B)
& r2_hidden(k1_xboole_0,B)
& v3_ordinal1(B) )
| ~ v3_ordinal1(A)
| ~ v4_ordinal1(A)
| ~ r2_hidden(k1_xboole_0,A) )
& ( ( ! [B] :
( r1_tarski(A,B)
| ~ v4_ordinal1(B)
| ~ r2_hidden(k1_xboole_0,B)
| ~ v3_ordinal1(B) )
& v3_ordinal1(A)
& v4_ordinal1(A)
& r2_hidden(k1_xboole_0,A) )
| A != k5_ordinal2 ) ),
inference(fof_nnf,[status(thm)],[d5_ordinal2]) ).
fof(f_1431_2,plain,
! [U_4011] :
( ( U_4011 = k5_ordinal2
| ? [U_4010] :
( ~ r1_tarski(U_4011,U_4010)
& v4_ordinal1(U_4010)
& r2_hidden(k1_xboole_0,U_4010)
& v3_ordinal1(U_4010) )
| ~ v3_ordinal1(U_4011)
| ~ v4_ordinal1(U_4011)
| ~ r2_hidden(k1_xboole_0,U_4011) )
& ( ( ! [U_4009] :
( r1_tarski(U_4011,U_4009)
| ~ v4_ordinal1(U_4009)
| ~ r2_hidden(k1_xboole_0,U_4009)
| ~ v3_ordinal1(U_4009) )
& v3_ordinal1(U_4011)
& v4_ordinal1(U_4011)
& r2_hidden(k1_xboole_0,U_4011) )
| U_4011 != k5_ordinal2 ) ),
inference(variable_rename,[status(thm)],[f_1431_1]) ).
fof(f_1431_3,plain,
( ! [U_4013] :
( U_4013 = k5_ordinal2
| ? [U_4010] :
( ~ r1_tarski(U_4013,U_4010)
& v4_ordinal1(U_4010)
& r2_hidden(k1_xboole_0,U_4010)
& v3_ordinal1(U_4010) )
| ~ v3_ordinal1(U_4013)
| ~ v4_ordinal1(U_4013)
| ~ r2_hidden(k1_xboole_0,U_4013) )
& ! [U_4012] :
( ( ! [U_4009] :
( r1_tarski(U_4012,U_4009)
| ~ v4_ordinal1(U_4009)
| ~ r2_hidden(k1_xboole_0,U_4009)
| ~ v3_ordinal1(U_4009) )
& v3_ordinal1(U_4012)
& v4_ordinal1(U_4012)
& r2_hidden(k1_xboole_0,U_4012) )
| U_4012 != k5_ordinal2 ) ),
inference(miniscope,[status(thm)],[f_1431_2]) ).
fof(f_1431_4,plain,
( ! [U_4013] :
( U_4013 = k5_ordinal2
| ( ~ r1_tarski(U_4013,sK385(U_4013))
& v4_ordinal1(sK385(U_4013))
& r2_hidden(k1_xboole_0,sK385(U_4013))
& v3_ordinal1(sK385(U_4013)) )
| ~ v3_ordinal1(U_4013)
| ~ v4_ordinal1(U_4013)
| ~ r2_hidden(k1_xboole_0,U_4013) )
& ! [U_4012] :
( ( ! [U_4009] :
( r1_tarski(U_4012,U_4009)
| ~ v4_ordinal1(U_4009)
| ~ r2_hidden(k1_xboole_0,U_4009)
| ~ v3_ordinal1(U_4009) )
& v3_ordinal1(U_4012)
& v4_ordinal1(U_4012)
& r2_hidden(k1_xboole_0,U_4012) )
| U_4012 != k5_ordinal2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK385]),skolemize(U_4010,sK385(U_4013))],[f_1431_3]) ).
fof(f_1431_5,plain,
( ! [U_4013] :
( ~ r1_tarski(U_4013,sK385(U_4013))
| ~ sP586(U_4013) )
& ! [U_4013] :
( v4_ordinal1(sK385(U_4013))
| ~ sP586(U_4013) )
& ! [U_4013] :
( r2_hidden(k1_xboole_0,sK385(U_4013))
| ~ sP586(U_4013) )
& ! [U_4013] :
( v3_ordinal1(sK385(U_4013))
| ~ sP586(U_4013) )
& ! [U_4012,U_4009] :
( r1_tarski(U_4012,U_4009)
| ~ v4_ordinal1(U_4009)
| ~ r2_hidden(k1_xboole_0,U_4009)
| ~ v3_ordinal1(U_4009)
| ~ sP585(U_4012,U_4009) )
& ! [U_4012,U_4009] :
( v3_ordinal1(U_4012)
| ~ sP585(U_4012,U_4009) )
& ! [U_4012,U_4009] :
( v4_ordinal1(U_4012)
| ~ sP585(U_4012,U_4009) )
& ! [U_4012,U_4009] :
( r2_hidden(k1_xboole_0,U_4012)
| ~ sP585(U_4012,U_4009) )
& ! [U_4013] :
( U_4013 = k5_ordinal2
| sP586(U_4013)
| ~ v3_ordinal1(U_4013)
| ~ v4_ordinal1(U_4013)
| ~ r2_hidden(k1_xboole_0,U_4013) )
& ! [U_4012,U_4009] :
( sP585(U_4012,U_4009)
| U_4012 != k5_ordinal2 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP585,sP586])],[f_1431_4]) ).
cnf(f_1431_6,plain,
( sP585(U_4012,U_4009)
| U_4012 != k5_ordinal2 ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_7,plain,
( U_4013 = k5_ordinal2
| sP586(U_4013)
| ~ v3_ordinal1(U_4013)
| ~ v4_ordinal1(U_4013)
| ~ r2_hidden(k1_xboole_0,U_4013) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_8,plain,
( r2_hidden(k1_xboole_0,U_4012)
| ~ sP585(U_4012,U_4009) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_9,plain,
( v4_ordinal1(U_4012)
| ~ sP585(U_4012,U_4009) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_10,plain,
( v3_ordinal1(U_4012)
| ~ sP585(U_4012,U_4009) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_11,plain,
( r1_tarski(U_4012,U_4009)
| ~ v4_ordinal1(U_4009)
| ~ r2_hidden(k1_xboole_0,U_4009)
| ~ v3_ordinal1(U_4009)
| ~ sP585(U_4012,U_4009) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_12,plain,
( v3_ordinal1(sK385(U_4013))
| ~ sP586(U_4013) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_13,plain,
( r2_hidden(k1_xboole_0,sK385(U_4013))
| ~ sP586(U_4013) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_14,plain,
( v4_ordinal1(sK385(U_4013))
| ~ sP586(U_4013) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
cnf(f_1431_15,plain,
( ~ r1_tarski(U_4013,sK385(U_4013))
| ~ sP586(U_4013) ),
inference(clausify,[status(thm)],[f_1431_5]) ).
fof(f_1432_1,plain,
! [A] : k6_ordinal2(A) = k1_setfam_1(k2_ordinal2(A)),
inference(fof_nnf,[status(thm)],[d6_ordinal2]) ).
fof(f_1432_2,plain,
! [U_4014] : k6_ordinal2(U_4014) = k1_setfam_1(k2_ordinal2(U_4014)),
inference(variable_rename,[status(thm)],[f_1432_1]) ).
fof(f_1432_3,plain,
! [U_4014] : k6_ordinal2(U_4014) = k1_setfam_1(k2_ordinal2(U_4014)),
inference(definitional_conversion,[status(esa)],[f_1432_2]) ).
cnf(f_1432_4,plain,
k6_ordinal2(U_4014) = k1_setfam_1(k2_ordinal2(U_4014)),
inference(clausify,[status(thm)],[f_1432_3]) ).
fof(f_1433_1,plain,
! [A,B] :
( ( ( B = k7_ordinal2(A)
| ? [C] :
( ~ r1_ordinal1(B,C)
& r1_tarski(k2_ordinal2(A),C)
& v3_ordinal1(C) )
| ~ r1_tarski(k2_ordinal2(A),B) )
& ( ( ! [C] :
( r1_ordinal1(B,C)
| ~ r1_tarski(k2_ordinal2(A),C)
| ~ v3_ordinal1(C) )
& r1_tarski(k2_ordinal2(A),B) )
| B != k7_ordinal2(A) ) )
| ~ v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[d7_ordinal2]) ).
fof(f_1433_2,plain,
! [U_4018,U_4017] :
( ( ( U_4017 = k7_ordinal2(U_4018)
| ? [U_4016] :
( ~ r1_ordinal1(U_4017,U_4016)
& r1_tarski(k2_ordinal2(U_4018),U_4016)
& v3_ordinal1(U_4016) )
| ~ r1_tarski(k2_ordinal2(U_4018),U_4017) )
& ( ( ! [U_4015] :
( r1_ordinal1(U_4017,U_4015)
| ~ r1_tarski(k2_ordinal2(U_4018),U_4015)
| ~ v3_ordinal1(U_4015) )
& r1_tarski(k2_ordinal2(U_4018),U_4017) )
| U_4017 != k7_ordinal2(U_4018) ) )
| ~ v3_ordinal1(U_4017) ),
inference(variable_rename,[status(thm)],[f_1433_1]) ).
fof(f_1433_3,plain,
! [U_4018,U_4017] :
( ( ( U_4017 = k7_ordinal2(U_4018)
| ( ~ r1_ordinal1(U_4017,sK386(U_4018,U_4017))
& r1_tarski(k2_ordinal2(U_4018),sK386(U_4018,U_4017))
& v3_ordinal1(sK386(U_4018,U_4017)) )
| ~ r1_tarski(k2_ordinal2(U_4018),U_4017) )
& ( ( ! [U_4015] :
( r1_ordinal1(U_4017,U_4015)
| ~ r1_tarski(k2_ordinal2(U_4018),U_4015)
| ~ v3_ordinal1(U_4015) )
& r1_tarski(k2_ordinal2(U_4018),U_4017) )
| U_4017 != k7_ordinal2(U_4018) ) )
| ~ v3_ordinal1(U_4017) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK386]),skolemize(U_4016,sK386(U_4018,U_4017))],[f_1433_2]) ).
fof(f_1433_4,plain,
( ! [U_4018,U_4017] :
( ~ r1_ordinal1(U_4017,sK386(U_4018,U_4017))
| ~ sP588(U_4018,U_4017) )
& ! [U_4018,U_4017] :
( r1_tarski(k2_ordinal2(U_4018),sK386(U_4018,U_4017))
| ~ sP588(U_4018,U_4017) )
& ! [U_4018,U_4017] :
( v3_ordinal1(sK386(U_4018,U_4017))
| ~ sP588(U_4018,U_4017) )
& ! [U_4018,U_4015,U_4017] :
( r1_ordinal1(U_4017,U_4015)
| ~ r1_tarski(k2_ordinal2(U_4018),U_4015)
| ~ v3_ordinal1(U_4015)
| ~ sP587(U_4018,U_4015,U_4017) )
& ! [U_4018,U_4015,U_4017] :
( r1_tarski(k2_ordinal2(U_4018),U_4017)
| ~ sP587(U_4018,U_4015,U_4017) )
& ! [U_4018,U_4015,U_4017] :
( U_4017 = k7_ordinal2(U_4018)
| sP588(U_4018,U_4017)
| ~ r1_tarski(k2_ordinal2(U_4018),U_4017)
| ~ sP589(U_4018,U_4015,U_4017) )
& ! [U_4018,U_4015,U_4017] :
( sP587(U_4018,U_4015,U_4017)
| U_4017 != k7_ordinal2(U_4018)
| ~ sP589(U_4018,U_4015,U_4017) )
& ! [U_4018,U_4015,U_4017] :
( sP589(U_4018,U_4015,U_4017)
| ~ v3_ordinal1(U_4017) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP587,sP588,sP589])],[f_1433_3]) ).
cnf(f_1433_5,plain,
( sP589(U_4018,U_4015,U_4017)
| ~ v3_ordinal1(U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_6,plain,
( sP587(U_4018,U_4015,U_4017)
| U_4017 != k7_ordinal2(U_4018)
| ~ sP589(U_4018,U_4015,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_7,plain,
( U_4017 = k7_ordinal2(U_4018)
| sP588(U_4018,U_4017)
| ~ r1_tarski(k2_ordinal2(U_4018),U_4017)
| ~ sP589(U_4018,U_4015,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_8,plain,
( r1_tarski(k2_ordinal2(U_4018),U_4017)
| ~ sP587(U_4018,U_4015,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_9,plain,
( r1_ordinal1(U_4017,U_4015)
| ~ r1_tarski(k2_ordinal2(U_4018),U_4015)
| ~ v3_ordinal1(U_4015)
| ~ sP587(U_4018,U_4015,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_10,plain,
( v3_ordinal1(sK386(U_4018,U_4017))
| ~ sP588(U_4018,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_11,plain,
( r1_tarski(k2_ordinal2(U_4018),sK386(U_4018,U_4017))
| ~ sP588(U_4018,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
cnf(f_1433_12,plain,
( ~ r1_ordinal1(U_4017,sK386(U_4018,U_4017))
| ~ sP588(U_4018,U_4017) ),
inference(clausify,[status(thm)],[f_1433_4]) ).
fof(f_1434_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_ordinal2]) ).
fof(f_1434_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1434_1]) ).
cnf(f_1434_3,plain,
$true,
inference(clausify,[status(thm)],[f_1434_2]) ).
fof(f_1435_1,plain,
( ! [A] :
( r1_ordinal1(k5_ordinal2,A)
| ~ v4_ordinal1(A)
| ~ r2_hidden(k1_xboole_0,A)
| ~ v3_ordinal1(A) )
& v4_ordinal1(k5_ordinal2)
& r2_hidden(k1_xboole_0,k5_ordinal2) ),
inference(fof_nnf,[status(thm)],[t19_ordinal2]) ).
fof(f_1435_2,plain,
( ! [U_4019] :
( r1_ordinal1(k5_ordinal2,U_4019)
| ~ v4_ordinal1(U_4019)
| ~ r2_hidden(k1_xboole_0,U_4019)
| ~ v3_ordinal1(U_4019) )
& v4_ordinal1(k5_ordinal2)
& r2_hidden(k1_xboole_0,k5_ordinal2) ),
inference(variable_rename,[status(thm)],[f_1435_1]) ).
fof(f_1435_3,plain,
( ! [U_4019] :
( r1_ordinal1(k5_ordinal2,U_4019)
| ~ v4_ordinal1(U_4019)
| ~ r2_hidden(k1_xboole_0,U_4019)
| ~ v3_ordinal1(U_4019) )
& v4_ordinal1(k5_ordinal2)
& r2_hidden(k1_xboole_0,k5_ordinal2) ),
inference(definitional_conversion,[status(esa)],[f_1435_2]) ).
cnf(f_1435_4,plain,
r2_hidden(k1_xboole_0,k5_ordinal2),
inference(clausify,[status(thm)],[f_1435_3]) ).
cnf(f_1435_5,plain,
v4_ordinal1(k5_ordinal2),
inference(clausify,[status(thm)],[f_1435_3]) ).
cnf(f_1435_6,plain,
( r1_ordinal1(k5_ordinal2,U_4019)
| ~ v4_ordinal1(U_4019)
| ~ r2_hidden(k1_xboole_0,U_4019)
| ~ v3_ordinal1(U_4019) ),
inference(clausify,[status(thm)],[f_1435_3]) ).
fof(f_1436_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_ordinal2]) ).
fof(f_1436_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1436_1]) ).
cnf(f_1436_3,plain,
$true,
inference(clausify,[status(thm)],[f_1436_2]) ).
fof(f_1437_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t21_ordinal2]) ).
fof(f_1437_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1437_1]) ).
cnf(f_1437_3,plain,
$true,
inference(clausify,[status(thm)],[f_1437_2]) ).
fof(f_1438_1,plain,
! [A] :
( ! [B] :
( r1_ordinal1(k6_ordinal2(B),A)
| ~ r2_hidden(A,B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t22_ordinal2]) ).
fof(f_1438_2,plain,
! [U_4021] :
( ! [U_4020] :
( r1_ordinal1(k6_ordinal2(U_4020),U_4021)
| ~ r2_hidden(U_4021,U_4020) )
| ~ v3_ordinal1(U_4021) ),
inference(variable_rename,[status(thm)],[f_1438_1]) ).
fof(f_1438_3,plain,
! [U_4021,U_4020] :
( r1_ordinal1(k6_ordinal2(U_4020),U_4021)
| ~ r2_hidden(U_4021,U_4020)
| ~ v3_ordinal1(U_4021) ),
inference(definitional_conversion,[status(esa)],[f_1438_2]) ).
cnf(f_1438_4,plain,
( r1_ordinal1(k6_ordinal2(U_4020),U_4021)
| ~ r2_hidden(U_4021,U_4020)
| ~ v3_ordinal1(U_4021) ),
inference(clausify,[status(thm)],[f_1438_3]) ).
fof(f_1439_1,plain,
! [A] :
( ! [B] :
( r1_ordinal1(A,k6_ordinal2(B))
| k2_ordinal2(B) = k1_xboole_0
| ? [C] :
( ~ r1_ordinal1(A,C)
& r2_hidden(C,B)
& v3_ordinal1(C) ) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t23_ordinal2]) ).
fof(f_1439_2,plain,
! [U_4024] :
( ! [U_4023] :
( r1_ordinal1(U_4024,k6_ordinal2(U_4023))
| k2_ordinal2(U_4023) = k1_xboole_0
| ? [U_4022] :
( ~ r1_ordinal1(U_4024,U_4022)
& r2_hidden(U_4022,U_4023)
& v3_ordinal1(U_4022) ) )
| ~ v3_ordinal1(U_4024) ),
inference(variable_rename,[status(thm)],[f_1439_1]) ).
fof(f_1439_3,plain,
! [U_4024] :
( ! [U_4023] :
( r1_ordinal1(U_4024,k6_ordinal2(U_4023))
| k2_ordinal2(U_4023) = k1_xboole_0
| ( ~ r1_ordinal1(U_4024,sK387(U_4024,U_4023))
& r2_hidden(sK387(U_4024,U_4023),U_4023)
& v3_ordinal1(sK387(U_4024,U_4023)) ) )
| ~ v3_ordinal1(U_4024) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK387]),skolemize(U_4022,sK387(U_4024,U_4023))],[f_1439_2]) ).
fof(f_1439_4,plain,
( ! [U_4024,U_4023] :
( ~ r1_ordinal1(U_4024,sK387(U_4024,U_4023))
| ~ sP590(U_4024,U_4023) )
& ! [U_4024,U_4023] :
( r2_hidden(sK387(U_4024,U_4023),U_4023)
| ~ sP590(U_4024,U_4023) )
& ! [U_4024,U_4023] :
( v3_ordinal1(sK387(U_4024,U_4023))
| ~ sP590(U_4024,U_4023) )
& ! [U_4024,U_4023] :
( r1_ordinal1(U_4024,k6_ordinal2(U_4023))
| k2_ordinal2(U_4023) = k1_xboole_0
| sP590(U_4024,U_4023)
| ~ v3_ordinal1(U_4024) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP590])],[f_1439_3]) ).
cnf(f_1439_5,plain,
( r1_ordinal1(U_4024,k6_ordinal2(U_4023))
| k2_ordinal2(U_4023) = k1_xboole_0
| sP590(U_4024,U_4023)
| ~ v3_ordinal1(U_4024) ),
inference(clausify,[status(thm)],[f_1439_4]) ).
cnf(f_1439_6,plain,
( v3_ordinal1(sK387(U_4024,U_4023))
| ~ sP590(U_4024,U_4023) ),
inference(clausify,[status(thm)],[f_1439_4]) ).
cnf(f_1439_7,plain,
( r2_hidden(sK387(U_4024,U_4023),U_4023)
| ~ sP590(U_4024,U_4023) ),
inference(clausify,[status(thm)],[f_1439_4]) ).
cnf(f_1439_8,plain,
( ~ r1_ordinal1(U_4024,sK387(U_4024,U_4023))
| ~ sP590(U_4024,U_4023) ),
inference(clausify,[status(thm)],[f_1439_4]) ).
fof(f_1440_1,plain,
! [A] :
( ! [B,C] :
( r1_ordinal1(k6_ordinal2(C),k6_ordinal2(B))
| ~ r1_tarski(B,C)
| ~ r2_hidden(A,B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t24_ordinal2]) ).
fof(f_1440_2,plain,
! [U_4027] :
( ! [U_4026,U_4025] :
( r1_ordinal1(k6_ordinal2(U_4025),k6_ordinal2(U_4026))
| ~ r1_tarski(U_4026,U_4025)
| ~ r2_hidden(U_4027,U_4026) )
| ~ v3_ordinal1(U_4027) ),
inference(variable_rename,[status(thm)],[f_1440_1]) ).
fof(f_1440_3,plain,
! [U_4027,U_4026,U_4025] :
( r1_ordinal1(k6_ordinal2(U_4025),k6_ordinal2(U_4026))
| ~ r1_tarski(U_4026,U_4025)
| ~ r2_hidden(U_4027,U_4026)
| ~ v3_ordinal1(U_4027) ),
inference(definitional_conversion,[status(esa)],[f_1440_2]) ).
cnf(f_1440_4,plain,
( r1_ordinal1(k6_ordinal2(U_4025),k6_ordinal2(U_4026))
| ~ r1_tarski(U_4026,U_4025)
| ~ r2_hidden(U_4027,U_4026)
| ~ v3_ordinal1(U_4027) ),
inference(clausify,[status(thm)],[f_1440_3]) ).
fof(f_1441_1,plain,
! [A] :
( ! [B] :
( r2_hidden(k6_ordinal2(B),B)
| ~ r2_hidden(A,B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t25_ordinal2]) ).
fof(f_1441_2,plain,
! [U_4029] :
( ! [U_4028] :
( r2_hidden(k6_ordinal2(U_4028),U_4028)
| ~ r2_hidden(U_4029,U_4028) )
| ~ v3_ordinal1(U_4029) ),
inference(variable_rename,[status(thm)],[f_1441_1]) ).
fof(f_1441_3,plain,
! [U_4029,U_4028] :
( r2_hidden(k6_ordinal2(U_4028),U_4028)
| ~ r2_hidden(U_4029,U_4028)
| ~ v3_ordinal1(U_4029) ),
inference(definitional_conversion,[status(esa)],[f_1441_2]) ).
cnf(f_1441_4,plain,
( r2_hidden(k6_ordinal2(U_4028),U_4028)
| ~ r2_hidden(U_4029,U_4028)
| ~ v3_ordinal1(U_4029) ),
inference(clausify,[status(thm)],[f_1441_3]) ).
fof(f_1442_1,plain,
! [A] :
( k7_ordinal2(A) = A
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t26_ordinal2]) ).
fof(f_1442_2,plain,
! [U_4030] :
( k7_ordinal2(U_4030) = U_4030
| ~ v3_ordinal1(U_4030) ),
inference(variable_rename,[status(thm)],[f_1442_1]) ).
fof(f_1442_3,plain,
! [U_4030] :
( k7_ordinal2(U_4030) = U_4030
| ~ v3_ordinal1(U_4030) ),
inference(definitional_conversion,[status(esa)],[f_1442_2]) ).
cnf(f_1442_4,plain,
( k7_ordinal2(U_4030) = U_4030
| ~ v3_ordinal1(U_4030) ),
inference(clausify,[status(thm)],[f_1442_3]) ).
fof(f_1443_1,plain,
! [A] :
( ! [B] :
( r2_hidden(A,k7_ordinal2(B))
| ~ r2_hidden(A,B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t27_ordinal2]) ).
fof(f_1443_2,plain,
! [U_4032] :
( ! [U_4031] :
( r2_hidden(U_4032,k7_ordinal2(U_4031))
| ~ r2_hidden(U_4032,U_4031) )
| ~ v3_ordinal1(U_4032) ),
inference(variable_rename,[status(thm)],[f_1443_1]) ).
fof(f_1443_3,plain,
! [U_4031,U_4032] :
( r2_hidden(U_4032,k7_ordinal2(U_4031))
| ~ r2_hidden(U_4032,U_4031)
| ~ v3_ordinal1(U_4032) ),
inference(definitional_conversion,[status(esa)],[f_1443_2]) ).
cnf(f_1443_4,plain,
( r2_hidden(U_4032,k7_ordinal2(U_4031))
| ~ r2_hidden(U_4032,U_4031)
| ~ v3_ordinal1(U_4032) ),
inference(clausify,[status(thm)],[f_1443_3]) ).
fof(f_1444_1,plain,
! [A] :
( ! [B] :
( r1_ordinal1(k7_ordinal2(B),A)
| ? [C] :
( ~ r2_hidden(C,A)
& r2_hidden(C,B)
& v3_ordinal1(C) ) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t28_ordinal2]) ).
fof(f_1444_2,plain,
! [U_4035] :
( ! [U_4034] :
( r1_ordinal1(k7_ordinal2(U_4034),U_4035)
| ? [U_4033] :
( ~ r2_hidden(U_4033,U_4035)
& r2_hidden(U_4033,U_4034)
& v3_ordinal1(U_4033) ) )
| ~ v3_ordinal1(U_4035) ),
inference(variable_rename,[status(thm)],[f_1444_1]) ).
fof(f_1444_3,plain,
! [U_4035] :
( ! [U_4034] :
( r1_ordinal1(k7_ordinal2(U_4034),U_4035)
| ( ~ r2_hidden(sK388(U_4035,U_4034),U_4035)
& r2_hidden(sK388(U_4035,U_4034),U_4034)
& v3_ordinal1(sK388(U_4035,U_4034)) ) )
| ~ v3_ordinal1(U_4035) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK388]),skolemize(U_4033,sK388(U_4035,U_4034))],[f_1444_2]) ).
fof(f_1444_4,plain,
( ! [U_4034,U_4035] :
( ~ r2_hidden(sK388(U_4035,U_4034),U_4035)
| ~ sP591(U_4034,U_4035) )
& ! [U_4034,U_4035] :
( r2_hidden(sK388(U_4035,U_4034),U_4034)
| ~ sP591(U_4034,U_4035) )
& ! [U_4034,U_4035] :
( v3_ordinal1(sK388(U_4035,U_4034))
| ~ sP591(U_4034,U_4035) )
& ! [U_4034,U_4035] :
( r1_ordinal1(k7_ordinal2(U_4034),U_4035)
| sP591(U_4034,U_4035)
| ~ v3_ordinal1(U_4035) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP591])],[f_1444_3]) ).
cnf(f_1444_5,plain,
( r1_ordinal1(k7_ordinal2(U_4034),U_4035)
| sP591(U_4034,U_4035)
| ~ v3_ordinal1(U_4035) ),
inference(clausify,[status(thm)],[f_1444_4]) ).
cnf(f_1444_6,plain,
( v3_ordinal1(sK388(U_4035,U_4034))
| ~ sP591(U_4034,U_4035) ),
inference(clausify,[status(thm)],[f_1444_4]) ).
cnf(f_1444_7,plain,
( r2_hidden(sK388(U_4035,U_4034),U_4034)
| ~ sP591(U_4034,U_4035) ),
inference(clausify,[status(thm)],[f_1444_4]) ).
cnf(f_1444_8,plain,
( ~ r2_hidden(sK388(U_4035,U_4034),U_4035)
| ~ sP591(U_4034,U_4035) ),
inference(clausify,[status(thm)],[f_1444_4]) ).
fof(f_1445_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( r1_ordinal1(A,C)
& r2_hidden(C,B)
& v3_ordinal1(C) )
| ~ r2_hidden(A,k7_ordinal2(B)) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t29_ordinal2]) ).
fof(f_1445_2,plain,
! [U_4038] :
( ! [U_4037] :
( ? [U_4036] :
( r1_ordinal1(U_4038,U_4036)
& r2_hidden(U_4036,U_4037)
& v3_ordinal1(U_4036) )
| ~ r2_hidden(U_4038,k7_ordinal2(U_4037)) )
| ~ v3_ordinal1(U_4038) ),
inference(variable_rename,[status(thm)],[f_1445_1]) ).
fof(f_1445_3,plain,
! [U_4038] :
( ! [U_4037] :
( ( r1_ordinal1(U_4038,sK389(U_4038,U_4037))
& r2_hidden(sK389(U_4038,U_4037),U_4037)
& v3_ordinal1(sK389(U_4038,U_4037)) )
| ~ r2_hidden(U_4038,k7_ordinal2(U_4037)) )
| ~ v3_ordinal1(U_4038) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK389]),skolemize(U_4036,sK389(U_4038,U_4037))],[f_1445_2]) ).
fof(f_1445_4,plain,
( ! [U_4038,U_4037] :
( r1_ordinal1(U_4038,sK389(U_4038,U_4037))
| ~ sP592(U_4038,U_4037) )
& ! [U_4038,U_4037] :
( r2_hidden(sK389(U_4038,U_4037),U_4037)
| ~ sP592(U_4038,U_4037) )
& ! [U_4038,U_4037] :
( v3_ordinal1(sK389(U_4038,U_4037))
| ~ sP592(U_4038,U_4037) )
& ! [U_4038,U_4037] :
( sP592(U_4038,U_4037)
| ~ r2_hidden(U_4038,k7_ordinal2(U_4037))
| ~ v3_ordinal1(U_4038) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP592])],[f_1445_3]) ).
cnf(f_1445_5,plain,
( sP592(U_4038,U_4037)
| ~ r2_hidden(U_4038,k7_ordinal2(U_4037))
| ~ v3_ordinal1(U_4038) ),
inference(clausify,[status(thm)],[f_1445_4]) ).
cnf(f_1445_6,plain,
( v3_ordinal1(sK389(U_4038,U_4037))
| ~ sP592(U_4038,U_4037) ),
inference(clausify,[status(thm)],[f_1445_4]) ).
cnf(f_1445_7,plain,
( r2_hidden(sK389(U_4038,U_4037),U_4037)
| ~ sP592(U_4038,U_4037) ),
inference(clausify,[status(thm)],[f_1445_4]) ).
cnf(f_1445_8,plain,
( r1_ordinal1(U_4038,sK389(U_4038,U_4037))
| ~ sP592(U_4038,U_4037) ),
inference(clausify,[status(thm)],[f_1445_4]) ).
fof(f_1446_1,plain,
! [A,B] :
( r1_ordinal1(k7_ordinal2(A),k7_ordinal2(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t30_ordinal2]) ).
fof(f_1446_2,plain,
! [U_4040,U_4039] :
( r1_ordinal1(k7_ordinal2(U_4040),k7_ordinal2(U_4039))
| ~ r1_tarski(U_4040,U_4039) ),
inference(variable_rename,[status(thm)],[f_1446_1]) ).
fof(f_1446_3,plain,
! [U_4040,U_4039] :
( r1_ordinal1(k7_ordinal2(U_4040),k7_ordinal2(U_4039))
| ~ r1_tarski(U_4040,U_4039) ),
inference(definitional_conversion,[status(esa)],[f_1446_2]) ).
cnf(f_1446_4,plain,
( r1_ordinal1(k7_ordinal2(U_4040),k7_ordinal2(U_4039))
| ~ r1_tarski(U_4040,U_4039) ),
inference(clausify,[status(thm)],[f_1446_3]) ).
fof(f_1447_1,plain,
! [A] :
( k7_ordinal2(k1_tarski(A)) = k1_ordinal1(A)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t31_ordinal2]) ).
fof(f_1447_2,plain,
! [U_4041] :
( k7_ordinal2(k1_tarski(U_4041)) = k1_ordinal1(U_4041)
| ~ v3_ordinal1(U_4041) ),
inference(variable_rename,[status(thm)],[f_1447_1]) ).
fof(f_1447_3,plain,
! [U_4041] :
( k7_ordinal2(k1_tarski(U_4041)) = k1_ordinal1(U_4041)
| ~ v3_ordinal1(U_4041) ),
inference(definitional_conversion,[status(esa)],[f_1447_2]) ).
cnf(f_1447_4,plain,
( k7_ordinal2(k1_tarski(U_4041)) = k1_ordinal1(U_4041)
| ~ v3_ordinal1(U_4041) ),
inference(clausify,[status(thm)],[f_1447_3]) ).
fof(f_1448_1,plain,
! [A] : r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A)),
inference(fof_nnf,[status(thm)],[t32_ordinal2]) ).
fof(f_1448_2,plain,
! [U_4042] : r1_ordinal1(k6_ordinal2(U_4042),k7_ordinal2(U_4042)),
inference(variable_rename,[status(thm)],[f_1448_1]) ).
fof(f_1448_3,plain,
! [U_4042] : r1_ordinal1(k6_ordinal2(U_4042),k7_ordinal2(U_4042)),
inference(definitional_conversion,[status(esa)],[f_1448_2]) ).
cnf(f_1448_4,plain,
r1_ordinal1(k6_ordinal2(U_4042),k7_ordinal2(U_4042)),
inference(clausify,[status(thm)],[f_1448_3]) ).
fof(f_1449_1,plain,
! [A] :
( ( ( v1_ordinal2(A)
| ! [B] :
( ~ r1_tarski(k2_relat_1(A),B)
| ~ v3_ordinal1(B) ) )
& ( ? [B] :
( r1_tarski(k2_relat_1(A),B)
& v3_ordinal1(B) )
| ~ v1_ordinal2(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d8_ordinal2]) ).
fof(f_1449_2,plain,
! [U_4045] :
( ( ( v1_ordinal2(U_4045)
| ! [U_4044] :
( ~ r1_tarski(k2_relat_1(U_4045),U_4044)
| ~ v3_ordinal1(U_4044) ) )
& ( ? [U_4043] :
( r1_tarski(k2_relat_1(U_4045),U_4043)
& v3_ordinal1(U_4043) )
| ~ v1_ordinal2(U_4045) ) )
| ~ v1_funct_1(U_4045)
| ~ v1_relat_1(U_4045) ),
inference(variable_rename,[status(thm)],[f_1449_1]) ).
fof(f_1449_3,plain,
! [U_4045] :
( ( ( v1_ordinal2(U_4045)
| ! [U_4044] :
( ~ r1_tarski(k2_relat_1(U_4045),U_4044)
| ~ v3_ordinal1(U_4044) ) )
& ( ( r1_tarski(k2_relat_1(U_4045),sK390(U_4045))
& v3_ordinal1(sK390(U_4045)) )
| ~ v1_ordinal2(U_4045) ) )
| ~ v1_funct_1(U_4045)
| ~ v1_relat_1(U_4045) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK390]),skolemize(U_4043,sK390(U_4045))],[f_1449_2]) ).
fof(f_1449_4,plain,
( ! [U_4045] :
( r1_tarski(k2_relat_1(U_4045),sK390(U_4045))
| ~ sP593(U_4045) )
& ! [U_4045] :
( v3_ordinal1(sK390(U_4045))
| ~ sP593(U_4045) )
& ! [U_4044,U_4045] :
( v1_ordinal2(U_4045)
| ~ r1_tarski(k2_relat_1(U_4045),U_4044)
| ~ v3_ordinal1(U_4044)
| ~ sP594(U_4044,U_4045) )
& ! [U_4044,U_4045] :
( sP593(U_4045)
| ~ v1_ordinal2(U_4045)
| ~ sP594(U_4044,U_4045) )
& ! [U_4044,U_4045] :
( sP594(U_4044,U_4045)
| ~ v1_funct_1(U_4045)
| ~ v1_relat_1(U_4045) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP593,sP594])],[f_1449_3]) ).
cnf(f_1449_5,plain,
( sP594(U_4044,U_4045)
| ~ v1_funct_1(U_4045)
| ~ v1_relat_1(U_4045) ),
inference(clausify,[status(thm)],[f_1449_4]) ).
cnf(f_1449_6,plain,
( sP593(U_4045)
| ~ v1_ordinal2(U_4045)
| ~ sP594(U_4044,U_4045) ),
inference(clausify,[status(thm)],[f_1449_4]) ).
cnf(f_1449_7,plain,
( v1_ordinal2(U_4045)
| ~ r1_tarski(k2_relat_1(U_4045),U_4044)
| ~ v3_ordinal1(U_4044)
| ~ sP594(U_4044,U_4045) ),
inference(clausify,[status(thm)],[f_1449_4]) ).
cnf(f_1449_8,plain,
( v3_ordinal1(sK390(U_4045))
| ~ sP593(U_4045) ),
inference(clausify,[status(thm)],[f_1449_4]) ).
cnf(f_1449_9,plain,
( r1_tarski(k2_relat_1(U_4045),sK390(U_4045))
| ~ sP593(U_4045) ),
inference(clausify,[status(thm)],[f_1449_4]) ).
fof(f_1450_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t33_ordinal2]) ).
fof(f_1450_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1450_1]) ).
cnf(f_1450_3,plain,
$true,
inference(clausify,[status(thm)],[f_1450_2]) ).
fof(f_1451_1,plain,
! [A] :
( ! [B] :
( v3_ordinal1(k1_funct_1(B,A))
| ~ r2_hidden(A,k1_relat_1(B))
| ~ v1_ordinal2(B)
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t34_ordinal2]) ).
fof(f_1451_2,plain,
! [U_4047] :
( ! [U_4046] :
( v3_ordinal1(k1_funct_1(U_4046,U_4047))
| ~ r2_hidden(U_4047,k1_relat_1(U_4046))
| ~ v1_ordinal2(U_4046)
| ~ v5_ordinal1(U_4046)
| ~ v1_funct_1(U_4046)
| ~ v1_relat_1(U_4046) )
| ~ v3_ordinal1(U_4047) ),
inference(variable_rename,[status(thm)],[f_1451_1]) ).
fof(f_1451_3,plain,
! [U_4046,U_4047] :
( v3_ordinal1(k1_funct_1(U_4046,U_4047))
| ~ r2_hidden(U_4047,k1_relat_1(U_4046))
| ~ v1_ordinal2(U_4046)
| ~ v5_ordinal1(U_4046)
| ~ v1_funct_1(U_4046)
| ~ v1_relat_1(U_4046)
| ~ v3_ordinal1(U_4047) ),
inference(definitional_conversion,[status(esa)],[f_1451_2]) ).
cnf(f_1451_4,plain,
( v3_ordinal1(k1_funct_1(U_4046,U_4047))
| ~ r2_hidden(U_4047,k1_relat_1(U_4046))
| ~ v1_ordinal2(U_4046)
| ~ v5_ordinal1(U_4046)
| ~ v1_funct_1(U_4046)
| ~ v1_relat_1(U_4046)
| ~ v3_ordinal1(U_4047) ),
inference(clausify,[status(thm)],[f_1451_3]) ).
fof(f_1452_1,plain,
! [A] :
( k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d9_ordinal2]) ).
fof(f_1452_2,plain,
! [U_4048] :
( k8_ordinal2(U_4048) = k7_ordinal2(k2_relat_1(U_4048))
| ~ v5_ordinal1(U_4048)
| ~ v1_funct_1(U_4048)
| ~ v1_relat_1(U_4048) ),
inference(variable_rename,[status(thm)],[f_1452_1]) ).
fof(f_1452_3,plain,
! [U_4048] :
( k8_ordinal2(U_4048) = k7_ordinal2(k2_relat_1(U_4048))
| ~ v5_ordinal1(U_4048)
| ~ v1_funct_1(U_4048)
| ~ v1_relat_1(U_4048) ),
inference(definitional_conversion,[status(esa)],[f_1452_2]) ).
cnf(f_1452_4,plain,
( k8_ordinal2(U_4048) = k7_ordinal2(k2_relat_1(U_4048))
| ~ v5_ordinal1(U_4048)
| ~ v1_funct_1(U_4048)
| ~ v1_relat_1(U_4048) ),
inference(clausify,[status(thm)],[f_1452_3]) ).
fof(f_1453_1,plain,
! [A] :
( k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d10_ordinal2]) ).
fof(f_1453_2,plain,
! [U_4049] :
( k9_ordinal2(U_4049) = k6_ordinal2(k2_relat_1(U_4049))
| ~ v5_ordinal1(U_4049)
| ~ v1_funct_1(U_4049)
| ~ v1_relat_1(U_4049) ),
inference(variable_rename,[status(thm)],[f_1453_1]) ).
fof(f_1453_3,plain,
! [U_4049] :
( k9_ordinal2(U_4049) = k6_ordinal2(k2_relat_1(U_4049))
| ~ v5_ordinal1(U_4049)
| ~ v1_funct_1(U_4049)
| ~ v1_relat_1(U_4049) ),
inference(definitional_conversion,[status(esa)],[f_1453_2]) ).
cnf(f_1453_4,plain,
( k9_ordinal2(U_4049) = k6_ordinal2(k2_relat_1(U_4049))
| ~ v5_ordinal1(U_4049)
| ~ v1_funct_1(U_4049)
| ~ v1_relat_1(U_4049) ),
inference(clausify,[status(thm)],[f_1453_3]) ).
fof(f_1454_1,plain,
! [A] :
( ( k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A))
& k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)) )
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t35_ordinal2]) ).
fof(f_1454_2,plain,
! [U_4050] :
( ( k9_ordinal2(U_4050) = k6_ordinal2(k2_relat_1(U_4050))
& k8_ordinal2(U_4050) = k7_ordinal2(k2_relat_1(U_4050)) )
| ~ v5_ordinal1(U_4050)
| ~ v1_funct_1(U_4050)
| ~ v1_relat_1(U_4050) ),
inference(variable_rename,[status(thm)],[f_1454_1]) ).
fof(f_1454_3,plain,
( ! [U_4050] :
( k9_ordinal2(U_4050) = k6_ordinal2(k2_relat_1(U_4050))
| ~ sP595(U_4050) )
& ! [U_4050] :
( k8_ordinal2(U_4050) = k7_ordinal2(k2_relat_1(U_4050))
| ~ sP595(U_4050) )
& ! [U_4050] :
( sP595(U_4050)
| ~ v5_ordinal1(U_4050)
| ~ v1_funct_1(U_4050)
| ~ v1_relat_1(U_4050) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP595])],[f_1454_2]) ).
cnf(f_1454_4,plain,
( sP595(U_4050)
| ~ v5_ordinal1(U_4050)
| ~ v1_funct_1(U_4050)
| ~ v1_relat_1(U_4050) ),
inference(clausify,[status(thm)],[f_1454_3]) ).
cnf(f_1454_5,plain,
( k8_ordinal2(U_4050) = k7_ordinal2(k2_relat_1(U_4050))
| ~ sP595(U_4050) ),
inference(clausify,[status(thm)],[f_1454_3]) ).
cnf(f_1454_6,plain,
( k9_ordinal2(U_4050) = k6_ordinal2(k2_relat_1(U_4050))
| ~ sP595(U_4050) ),
inference(clausify,[status(thm)],[f_1454_3]) ).
fof(f_1455_1,plain,
! [A] :
( ! [B] :
( ( ( B = k10_ordinal2(A)
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))
& r2_hidden(D,k1_relat_1(A))
& v3_ordinal1(D) )
| k1_relat_1(C) != k1_relat_1(A)
| B != k9_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ( ? [C] :
( ! [D] :
( k1_funct_1(C,D) = k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))
| ~ r2_hidden(D,k1_relat_1(A))
| ~ v3_ordinal1(D) )
& k1_relat_1(C) = k1_relat_1(A)
& B = k9_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
| B != k10_ordinal2(A) ) )
| ~ v3_ordinal1(B) )
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d11_ordinal2]) ).
fof(f_1455_2,plain,
! [U_4056] :
( ! [U_4055] :
( ( ( U_4055 = k10_ordinal2(U_4056)
| ! [U_4054] :
( ? [U_4053] :
( k1_funct_1(U_4054,U_4053) != k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4053))))
& r2_hidden(U_4053,k1_relat_1(U_4056))
& v3_ordinal1(U_4053) )
| k1_relat_1(U_4054) != k1_relat_1(U_4056)
| U_4055 != k9_ordinal2(U_4054)
| ~ v1_ordinal2(U_4054)
| ~ v5_ordinal1(U_4054)
| ~ v1_funct_1(U_4054)
| ~ v1_relat_1(U_4054) ) )
& ( ? [U_4052] :
( ! [U_4051] :
( k1_funct_1(U_4052,U_4051) = k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4051))))
| ~ r2_hidden(U_4051,k1_relat_1(U_4056))
| ~ v3_ordinal1(U_4051) )
& k1_relat_1(U_4052) = k1_relat_1(U_4056)
& U_4055 = k9_ordinal2(U_4052)
& v1_ordinal2(U_4052)
& v5_ordinal1(U_4052)
& v1_funct_1(U_4052)
& v1_relat_1(U_4052) )
| U_4055 != k10_ordinal2(U_4056) ) )
| ~ v3_ordinal1(U_4055) )
| ~ v5_ordinal1(U_4056)
| ~ v1_funct_1(U_4056)
| ~ v1_relat_1(U_4056) ),
inference(variable_rename,[status(thm)],[f_1455_1]) ).
fof(f_1455_3,plain,
! [U_4056] :
( ! [U_4055] :
( ( ( U_4055 = k10_ordinal2(U_4056)
| ! [U_4054] :
( ? [U_4053] :
( k1_funct_1(U_4054,U_4053) != k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4053))))
& r2_hidden(U_4053,k1_relat_1(U_4056))
& v3_ordinal1(U_4053) )
| k1_relat_1(U_4054) != k1_relat_1(U_4056)
| U_4055 != k9_ordinal2(U_4054)
| ~ v1_ordinal2(U_4054)
| ~ v5_ordinal1(U_4054)
| ~ v1_funct_1(U_4054)
| ~ v1_relat_1(U_4054) ) )
& ( ( ! [U_4051] :
( k1_funct_1(sK391(U_4056,U_4055),U_4051) = k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4051))))
| ~ r2_hidden(U_4051,k1_relat_1(U_4056))
| ~ v3_ordinal1(U_4051) )
& k1_relat_1(sK391(U_4056,U_4055)) = k1_relat_1(U_4056)
& U_4055 = k9_ordinal2(sK391(U_4056,U_4055))
& v1_ordinal2(sK391(U_4056,U_4055))
& v5_ordinal1(sK391(U_4056,U_4055))
& v1_funct_1(sK391(U_4056,U_4055))
& v1_relat_1(sK391(U_4056,U_4055)) )
| U_4055 != k10_ordinal2(U_4056) ) )
| ~ v3_ordinal1(U_4055) )
| ~ v5_ordinal1(U_4056)
| ~ v1_funct_1(U_4056)
| ~ v1_relat_1(U_4056) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK391]),skolemize(U_4052,sK391(U_4056,U_4055))],[f_1455_2]) ).
fof(f_1455_4,plain,
! [U_4056] :
( ! [U_4055] :
( ( ( U_4055 = k10_ordinal2(U_4056)
| ! [U_4054] :
( ( k1_funct_1(U_4054,sK392(U_4056,U_4055,U_4054)) != k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),sK392(U_4056,U_4055,U_4054)))))
& r2_hidden(sK392(U_4056,U_4055,U_4054),k1_relat_1(U_4056))
& v3_ordinal1(sK392(U_4056,U_4055,U_4054)) )
| k1_relat_1(U_4054) != k1_relat_1(U_4056)
| U_4055 != k9_ordinal2(U_4054)
| ~ v1_ordinal2(U_4054)
| ~ v5_ordinal1(U_4054)
| ~ v1_funct_1(U_4054)
| ~ v1_relat_1(U_4054) ) )
& ( ( ! [U_4051] :
( k1_funct_1(sK391(U_4056,U_4055),U_4051) = k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4051))))
| ~ r2_hidden(U_4051,k1_relat_1(U_4056))
| ~ v3_ordinal1(U_4051) )
& k1_relat_1(sK391(U_4056,U_4055)) = k1_relat_1(U_4056)
& U_4055 = k9_ordinal2(sK391(U_4056,U_4055))
& v1_ordinal2(sK391(U_4056,U_4055))
& v5_ordinal1(sK391(U_4056,U_4055))
& v1_funct_1(sK391(U_4056,U_4055))
& v1_relat_1(sK391(U_4056,U_4055)) )
| U_4055 != k10_ordinal2(U_4056) ) )
| ~ v3_ordinal1(U_4055) )
| ~ v5_ordinal1(U_4056)
| ~ v1_funct_1(U_4056)
| ~ v1_relat_1(U_4056) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK392]),skolemize(U_4053,sK392(U_4056,U_4055,U_4054))],[f_1455_3]) ).
fof(f_1455_5,plain,
( ! [U_4054,U_4055,U_4056] :
( k1_funct_1(U_4054,sK392(U_4056,U_4055,U_4054)) != k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),sK392(U_4056,U_4055,U_4054)))))
| ~ sP597(U_4054,U_4055,U_4056) )
& ! [U_4054,U_4055,U_4056] :
( r2_hidden(sK392(U_4056,U_4055,U_4054),k1_relat_1(U_4056))
| ~ sP597(U_4054,U_4055,U_4056) )
& ! [U_4054,U_4055,U_4056] :
( v3_ordinal1(sK392(U_4056,U_4055,U_4054))
| ~ sP597(U_4054,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( k1_funct_1(sK391(U_4056,U_4055),U_4051) = k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4051))))
| ~ r2_hidden(U_4051,k1_relat_1(U_4056))
| ~ v3_ordinal1(U_4051)
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( k1_relat_1(sK391(U_4056,U_4055)) = k1_relat_1(U_4056)
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( U_4055 = k9_ordinal2(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( v1_ordinal2(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( v5_ordinal1(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( v1_funct_1(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4055,U_4056] :
( v1_relat_1(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) )
& ! [U_4051,U_4054,U_4055,U_4056] :
( U_4055 = k10_ordinal2(U_4056)
| sP597(U_4054,U_4055,U_4056)
| k1_relat_1(U_4054) != k1_relat_1(U_4056)
| U_4055 != k9_ordinal2(U_4054)
| ~ v1_ordinal2(U_4054)
| ~ v5_ordinal1(U_4054)
| ~ v1_funct_1(U_4054)
| ~ v1_relat_1(U_4054)
| ~ sP598(U_4051,U_4054,U_4055,U_4056) )
& ! [U_4051,U_4054,U_4055,U_4056] :
( sP596(U_4051,U_4055,U_4056)
| U_4055 != k10_ordinal2(U_4056)
| ~ sP598(U_4051,U_4054,U_4055,U_4056) )
& ! [U_4051,U_4054,U_4055,U_4056] :
( sP598(U_4051,U_4054,U_4055,U_4056)
| ~ v3_ordinal1(U_4055)
| ~ v5_ordinal1(U_4056)
| ~ v1_funct_1(U_4056)
| ~ v1_relat_1(U_4056) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP596,sP597,sP598])],[f_1455_4]) ).
cnf(f_1455_6,plain,
( sP598(U_4051,U_4054,U_4055,U_4056)
| ~ v3_ordinal1(U_4055)
| ~ v5_ordinal1(U_4056)
| ~ v1_funct_1(U_4056)
| ~ v1_relat_1(U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_7,plain,
( sP596(U_4051,U_4055,U_4056)
| U_4055 != k10_ordinal2(U_4056)
| ~ sP598(U_4051,U_4054,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_8,plain,
( U_4055 = k10_ordinal2(U_4056)
| sP597(U_4054,U_4055,U_4056)
| k1_relat_1(U_4054) != k1_relat_1(U_4056)
| U_4055 != k9_ordinal2(U_4054)
| ~ v1_ordinal2(U_4054)
| ~ v5_ordinal1(U_4054)
| ~ v1_funct_1(U_4054)
| ~ v1_relat_1(U_4054)
| ~ sP598(U_4051,U_4054,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_9,plain,
( v1_relat_1(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_10,plain,
( v1_funct_1(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_11,plain,
( v5_ordinal1(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_12,plain,
( v1_ordinal2(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_13,plain,
( U_4055 = k9_ordinal2(sK391(U_4056,U_4055))
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_14,plain,
( k1_relat_1(sK391(U_4056,U_4055)) = k1_relat_1(U_4056)
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_15,plain,
( k1_funct_1(sK391(U_4056,U_4055),U_4051) = k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),U_4051))))
| ~ r2_hidden(U_4051,k1_relat_1(U_4056))
| ~ v3_ordinal1(U_4051)
| ~ sP596(U_4051,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_16,plain,
( v3_ordinal1(sK392(U_4056,U_4055,U_4054))
| ~ sP597(U_4054,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_17,plain,
( r2_hidden(sK392(U_4056,U_4055,U_4054),k1_relat_1(U_4056))
| ~ sP597(U_4054,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
cnf(f_1455_18,plain,
( k1_funct_1(U_4054,sK392(U_4056,U_4055,U_4054)) != k7_ordinal2(k2_relat_1(k7_relat_1(U_4056,k4_xboole_0(k1_relat_1(U_4056),sK392(U_4056,U_4055,U_4054)))))
| ~ sP597(U_4054,U_4055,U_4056) ),
inference(clausify,[status(thm)],[f_1455_5]) ).
fof(f_1456_1,plain,
! [A] :
( ! [B] :
( ( ( B = k11_ordinal2(A)
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))
& r2_hidden(D,k1_relat_1(A))
& v3_ordinal1(D) )
| k1_relat_1(C) != k1_relat_1(A)
| B != k8_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ( ? [C] :
( ! [D] :
( k1_funct_1(C,D) = k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))
| ~ r2_hidden(D,k1_relat_1(A))
| ~ v3_ordinal1(D) )
& k1_relat_1(C) = k1_relat_1(A)
& B = k8_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
| B != k11_ordinal2(A) ) )
| ~ v3_ordinal1(B) )
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d12_ordinal2]) ).
fof(f_1456_2,plain,
! [U_4062] :
( ! [U_4061] :
( ( ( U_4061 = k11_ordinal2(U_4062)
| ! [U_4060] :
( ? [U_4059] :
( k1_funct_1(U_4060,U_4059) != k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4059))))
& r2_hidden(U_4059,k1_relat_1(U_4062))
& v3_ordinal1(U_4059) )
| k1_relat_1(U_4060) != k1_relat_1(U_4062)
| U_4061 != k8_ordinal2(U_4060)
| ~ v1_ordinal2(U_4060)
| ~ v5_ordinal1(U_4060)
| ~ v1_funct_1(U_4060)
| ~ v1_relat_1(U_4060) ) )
& ( ? [U_4058] :
( ! [U_4057] :
( k1_funct_1(U_4058,U_4057) = k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4057))))
| ~ r2_hidden(U_4057,k1_relat_1(U_4062))
| ~ v3_ordinal1(U_4057) )
& k1_relat_1(U_4058) = k1_relat_1(U_4062)
& U_4061 = k8_ordinal2(U_4058)
& v1_ordinal2(U_4058)
& v5_ordinal1(U_4058)
& v1_funct_1(U_4058)
& v1_relat_1(U_4058) )
| U_4061 != k11_ordinal2(U_4062) ) )
| ~ v3_ordinal1(U_4061) )
| ~ v5_ordinal1(U_4062)
| ~ v1_funct_1(U_4062)
| ~ v1_relat_1(U_4062) ),
inference(variable_rename,[status(thm)],[f_1456_1]) ).
fof(f_1456_3,plain,
! [U_4062] :
( ! [U_4061] :
( ( ( U_4061 = k11_ordinal2(U_4062)
| ! [U_4060] :
( ? [U_4059] :
( k1_funct_1(U_4060,U_4059) != k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4059))))
& r2_hidden(U_4059,k1_relat_1(U_4062))
& v3_ordinal1(U_4059) )
| k1_relat_1(U_4060) != k1_relat_1(U_4062)
| U_4061 != k8_ordinal2(U_4060)
| ~ v1_ordinal2(U_4060)
| ~ v5_ordinal1(U_4060)
| ~ v1_funct_1(U_4060)
| ~ v1_relat_1(U_4060) ) )
& ( ( ! [U_4057] :
( k1_funct_1(sK393(U_4062,U_4061),U_4057) = k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4057))))
| ~ r2_hidden(U_4057,k1_relat_1(U_4062))
| ~ v3_ordinal1(U_4057) )
& k1_relat_1(sK393(U_4062,U_4061)) = k1_relat_1(U_4062)
& U_4061 = k8_ordinal2(sK393(U_4062,U_4061))
& v1_ordinal2(sK393(U_4062,U_4061))
& v5_ordinal1(sK393(U_4062,U_4061))
& v1_funct_1(sK393(U_4062,U_4061))
& v1_relat_1(sK393(U_4062,U_4061)) )
| U_4061 != k11_ordinal2(U_4062) ) )
| ~ v3_ordinal1(U_4061) )
| ~ v5_ordinal1(U_4062)
| ~ v1_funct_1(U_4062)
| ~ v1_relat_1(U_4062) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK393]),skolemize(U_4058,sK393(U_4062,U_4061))],[f_1456_2]) ).
fof(f_1456_4,plain,
! [U_4062] :
( ! [U_4061] :
( ( ( U_4061 = k11_ordinal2(U_4062)
| ! [U_4060] :
( ( k1_funct_1(U_4060,sK394(U_4062,U_4061,U_4060)) != k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),sK394(U_4062,U_4061,U_4060)))))
& r2_hidden(sK394(U_4062,U_4061,U_4060),k1_relat_1(U_4062))
& v3_ordinal1(sK394(U_4062,U_4061,U_4060)) )
| k1_relat_1(U_4060) != k1_relat_1(U_4062)
| U_4061 != k8_ordinal2(U_4060)
| ~ v1_ordinal2(U_4060)
| ~ v5_ordinal1(U_4060)
| ~ v1_funct_1(U_4060)
| ~ v1_relat_1(U_4060) ) )
& ( ( ! [U_4057] :
( k1_funct_1(sK393(U_4062,U_4061),U_4057) = k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4057))))
| ~ r2_hidden(U_4057,k1_relat_1(U_4062))
| ~ v3_ordinal1(U_4057) )
& k1_relat_1(sK393(U_4062,U_4061)) = k1_relat_1(U_4062)
& U_4061 = k8_ordinal2(sK393(U_4062,U_4061))
& v1_ordinal2(sK393(U_4062,U_4061))
& v5_ordinal1(sK393(U_4062,U_4061))
& v1_funct_1(sK393(U_4062,U_4061))
& v1_relat_1(sK393(U_4062,U_4061)) )
| U_4061 != k11_ordinal2(U_4062) ) )
| ~ v3_ordinal1(U_4061) )
| ~ v5_ordinal1(U_4062)
| ~ v1_funct_1(U_4062)
| ~ v1_relat_1(U_4062) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK394]),skolemize(U_4059,sK394(U_4062,U_4061,U_4060))],[f_1456_3]) ).
fof(f_1456_5,plain,
( ! [U_4061,U_4062,U_4060] :
( k1_funct_1(U_4060,sK394(U_4062,U_4061,U_4060)) != k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),sK394(U_4062,U_4061,U_4060)))))
| ~ sP600(U_4061,U_4062,U_4060) )
& ! [U_4061,U_4062,U_4060] :
( r2_hidden(sK394(U_4062,U_4061,U_4060),k1_relat_1(U_4062))
| ~ sP600(U_4061,U_4062,U_4060) )
& ! [U_4061,U_4062,U_4060] :
( v3_ordinal1(sK394(U_4062,U_4061,U_4060))
| ~ sP600(U_4061,U_4062,U_4060) )
& ! [U_4061,U_4062,U_4057] :
( k1_funct_1(sK393(U_4062,U_4061),U_4057) = k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4057))))
| ~ r2_hidden(U_4057,k1_relat_1(U_4062))
| ~ v3_ordinal1(U_4057)
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4057] :
( k1_relat_1(sK393(U_4062,U_4061)) = k1_relat_1(U_4062)
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4057] :
( U_4061 = k8_ordinal2(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4057] :
( v1_ordinal2(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4057] :
( v5_ordinal1(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4057] :
( v1_funct_1(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4057] :
( v1_relat_1(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) )
& ! [U_4061,U_4062,U_4060,U_4057] :
( U_4061 = k11_ordinal2(U_4062)
| sP600(U_4061,U_4062,U_4060)
| k1_relat_1(U_4060) != k1_relat_1(U_4062)
| U_4061 != k8_ordinal2(U_4060)
| ~ v1_ordinal2(U_4060)
| ~ v5_ordinal1(U_4060)
| ~ v1_funct_1(U_4060)
| ~ v1_relat_1(U_4060)
| ~ sP601(U_4061,U_4062,U_4060,U_4057) )
& ! [U_4061,U_4062,U_4060,U_4057] :
( sP599(U_4061,U_4062,U_4057)
| U_4061 != k11_ordinal2(U_4062)
| ~ sP601(U_4061,U_4062,U_4060,U_4057) )
& ! [U_4061,U_4062,U_4060,U_4057] :
( sP601(U_4061,U_4062,U_4060,U_4057)
| ~ v3_ordinal1(U_4061)
| ~ v5_ordinal1(U_4062)
| ~ v1_funct_1(U_4062)
| ~ v1_relat_1(U_4062) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP599,sP600,sP601])],[f_1456_4]) ).
cnf(f_1456_6,plain,
( sP601(U_4061,U_4062,U_4060,U_4057)
| ~ v3_ordinal1(U_4061)
| ~ v5_ordinal1(U_4062)
| ~ v1_funct_1(U_4062)
| ~ v1_relat_1(U_4062) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_7,plain,
( sP599(U_4061,U_4062,U_4057)
| U_4061 != k11_ordinal2(U_4062)
| ~ sP601(U_4061,U_4062,U_4060,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_8,plain,
( U_4061 = k11_ordinal2(U_4062)
| sP600(U_4061,U_4062,U_4060)
| k1_relat_1(U_4060) != k1_relat_1(U_4062)
| U_4061 != k8_ordinal2(U_4060)
| ~ v1_ordinal2(U_4060)
| ~ v5_ordinal1(U_4060)
| ~ v1_funct_1(U_4060)
| ~ v1_relat_1(U_4060)
| ~ sP601(U_4061,U_4062,U_4060,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_9,plain,
( v1_relat_1(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_10,plain,
( v1_funct_1(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_11,plain,
( v5_ordinal1(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_12,plain,
( v1_ordinal2(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_13,plain,
( U_4061 = k8_ordinal2(sK393(U_4062,U_4061))
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_14,plain,
( k1_relat_1(sK393(U_4062,U_4061)) = k1_relat_1(U_4062)
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_15,plain,
( k1_funct_1(sK393(U_4062,U_4061),U_4057) = k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),U_4057))))
| ~ r2_hidden(U_4057,k1_relat_1(U_4062))
| ~ v3_ordinal1(U_4057)
| ~ sP599(U_4061,U_4062,U_4057) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_16,plain,
( v3_ordinal1(sK394(U_4062,U_4061,U_4060))
| ~ sP600(U_4061,U_4062,U_4060) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_17,plain,
( r2_hidden(sK394(U_4062,U_4061,U_4060),k1_relat_1(U_4062))
| ~ sP600(U_4061,U_4062,U_4060) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
cnf(f_1456_18,plain,
( k1_funct_1(U_4060,sK394(U_4062,U_4061,U_4060)) != k6_ordinal2(k2_relat_1(k7_relat_1(U_4062,k4_xboole_0(k1_relat_1(U_4062),sK394(U_4062,U_4061,U_4060)))))
| ~ sP600(U_4061,U_4062,U_4060) ),
inference(clausify,[status(thm)],[f_1456_5]) ).
fof(f_1457_1,plain,
! [A] :
( ! [B] :
( ( ( ( ( r1_ordinal2(A,B)
| ? [C] :
( ? [D] :
( ! [E] :
( ? [F] :
( ( ~ r2_hidden(k1_funct_1(B,F),D)
| ~ r2_hidden(C,k1_funct_1(B,F)) )
& r2_hidden(F,k1_relat_1(B))
& r1_ordinal1(E,F)
& v3_ordinal1(F) )
| ~ r2_hidden(E,k1_relat_1(B))
| ~ v3_ordinal1(E) )
& r2_hidden(A,D)
& r2_hidden(C,A)
& v3_ordinal1(D) )
& v3_ordinal1(C) ) )
& ( ! [C] :
( ! [D] :
( ? [E] :
( ! [F] :
( ( r2_hidden(k1_funct_1(B,F),D)
& r2_hidden(C,k1_funct_1(B,F)) )
| ~ r2_hidden(F,k1_relat_1(B))
| ~ r1_ordinal1(E,F)
| ~ v3_ordinal1(F) )
& r2_hidden(E,k1_relat_1(B))
& v3_ordinal1(E) )
| ~ r2_hidden(A,D)
| ~ r2_hidden(C,A)
| ~ v3_ordinal1(D) )
| ~ v3_ordinal1(C) )
| ~ r1_ordinal2(A,B) ) )
| A = k1_xboole_0 )
& ( ( ( r1_ordinal2(A,B)
| ! [C] :
( ? [D] :
( k1_funct_1(B,D) != k1_xboole_0
& r2_hidden(D,k1_relat_1(B))
& r1_ordinal1(C,D)
& v3_ordinal1(D) )
| ~ r2_hidden(C,k1_relat_1(B))
| ~ v3_ordinal1(C) ) )
& ( ? [C] :
( ! [D] :
( k1_funct_1(B,D) = k1_xboole_0
| ~ r2_hidden(D,k1_relat_1(B))
| ~ r1_ordinal1(C,D)
| ~ v3_ordinal1(D) )
& r2_hidden(C,k1_relat_1(B))
& v3_ordinal1(C) )
| ~ r1_ordinal2(A,B) ) )
| A != k1_xboole_0 ) )
| ~ v1_ordinal2(B)
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[d13_ordinal2]) ).
fof(f_1457_2,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ? [U_4074] :
( ? [U_4073] :
( ! [U_4072] :
( ? [U_4071] :
( ( ~ r2_hidden(k1_funct_1(U_4075,U_4071),U_4073)
| ~ r2_hidden(U_4074,k1_funct_1(U_4075,U_4071)) )
& r2_hidden(U_4071,k1_relat_1(U_4075))
& r1_ordinal1(U_4072,U_4071)
& v3_ordinal1(U_4071) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,U_4073)
& r2_hidden(U_4074,U_4076)
& v3_ordinal1(U_4073) )
& v3_ordinal1(U_4074) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ? [U_4068] :
( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(U_4068,U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(U_4068,k1_relat_1(U_4075))
& v3_ordinal1(U_4068) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ? [U_4065] :
( k1_funct_1(U_4075,U_4065) != k1_xboole_0
& r2_hidden(U_4065,k1_relat_1(U_4075))
& r1_ordinal1(U_4066,U_4065)
& v3_ordinal1(U_4065) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ? [U_4064] :
( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(U_4064,U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(U_4064,k1_relat_1(U_4075))
& v3_ordinal1(U_4064) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(variable_rename,[status(thm)],[f_1457_1]) ).
fof(f_1457_3,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ? [U_4074] :
( ? [U_4073] :
( ! [U_4072] :
( ? [U_4071] :
( ( ~ r2_hidden(k1_funct_1(U_4075,U_4071),U_4073)
| ~ r2_hidden(U_4074,k1_funct_1(U_4075,U_4071)) )
& r2_hidden(U_4071,k1_relat_1(U_4075))
& r1_ordinal1(U_4072,U_4071)
& v3_ordinal1(U_4071) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,U_4073)
& r2_hidden(U_4074,U_4076)
& v3_ordinal1(U_4073) )
& v3_ordinal1(U_4074) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ? [U_4068] :
( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(U_4068,U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(U_4068,k1_relat_1(U_4075))
& v3_ordinal1(U_4068) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ? [U_4065] :
( k1_funct_1(U_4075,U_4065) != k1_xboole_0
& r2_hidden(U_4065,k1_relat_1(U_4075))
& r1_ordinal1(U_4066,U_4065)
& v3_ordinal1(U_4065) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
& v3_ordinal1(sK395(U_4076,U_4075)) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK395]),skolemize(U_4064,sK395(U_4076,U_4075))],[f_1457_2]) ).
fof(f_1457_4,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ? [U_4074] :
( ? [U_4073] :
( ! [U_4072] :
( ? [U_4071] :
( ( ~ r2_hidden(k1_funct_1(U_4075,U_4071),U_4073)
| ~ r2_hidden(U_4074,k1_funct_1(U_4075,U_4071)) )
& r2_hidden(U_4071,k1_relat_1(U_4075))
& r1_ordinal1(U_4072,U_4071)
& v3_ordinal1(U_4071) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,U_4073)
& r2_hidden(U_4074,U_4076)
& v3_ordinal1(U_4073) )
& v3_ordinal1(U_4074) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ? [U_4068] :
( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(U_4068,U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(U_4068,k1_relat_1(U_4075))
& v3_ordinal1(U_4068) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
& r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
& r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
& v3_ordinal1(sK396(U_4076,U_4075,U_4066)) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
& v3_ordinal1(sK395(U_4076,U_4075)) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK396]),skolemize(U_4065,sK396(U_4076,U_4075,U_4066))],[f_1457_3]) ).
fof(f_1457_5,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ? [U_4074] :
( ? [U_4073] :
( ! [U_4072] :
( ? [U_4071] :
( ( ~ r2_hidden(k1_funct_1(U_4075,U_4071),U_4073)
| ~ r2_hidden(U_4074,k1_funct_1(U_4075,U_4071)) )
& r2_hidden(U_4071,k1_relat_1(U_4075))
& r1_ordinal1(U_4072,U_4071)
& v3_ordinal1(U_4071) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,U_4073)
& r2_hidden(U_4074,U_4076)
& v3_ordinal1(U_4073) )
& v3_ordinal1(U_4074) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069),U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(sK397(U_4076,U_4075,U_4070,U_4069),k1_relat_1(U_4075))
& v3_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069)) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
& r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
& r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
& v3_ordinal1(sK396(U_4076,U_4075,U_4066)) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
& v3_ordinal1(sK395(U_4076,U_4075)) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK397]),skolemize(U_4068,sK397(U_4076,U_4075,U_4070,U_4069))],[f_1457_4]) ).
fof(f_1457_6,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ( ? [U_4073] :
( ! [U_4072] :
( ? [U_4071] :
( ( ~ r2_hidden(k1_funct_1(U_4075,U_4071),U_4073)
| ~ r2_hidden(sK398(U_4076,U_4075),k1_funct_1(U_4075,U_4071)) )
& r2_hidden(U_4071,k1_relat_1(U_4075))
& r1_ordinal1(U_4072,U_4071)
& v3_ordinal1(U_4071) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,U_4073)
& r2_hidden(sK398(U_4076,U_4075),U_4076)
& v3_ordinal1(U_4073) )
& v3_ordinal1(sK398(U_4076,U_4075)) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069),U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(sK397(U_4076,U_4075,U_4070,U_4069),k1_relat_1(U_4075))
& v3_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069)) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
& r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
& r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
& v3_ordinal1(sK396(U_4076,U_4075,U_4066)) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
& v3_ordinal1(sK395(U_4076,U_4075)) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK398]),skolemize(U_4074,sK398(U_4076,U_4075))],[f_1457_5]) ).
fof(f_1457_7,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ( ! [U_4072] :
( ? [U_4071] :
( ( ~ r2_hidden(k1_funct_1(U_4075,U_4071),sK399(U_4076,U_4075))
| ~ r2_hidden(sK398(U_4076,U_4075),k1_funct_1(U_4075,U_4071)) )
& r2_hidden(U_4071,k1_relat_1(U_4075))
& r1_ordinal1(U_4072,U_4071)
& v3_ordinal1(U_4071) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,sK399(U_4076,U_4075))
& r2_hidden(sK398(U_4076,U_4075),U_4076)
& v3_ordinal1(sK399(U_4076,U_4075))
& v3_ordinal1(sK398(U_4076,U_4075)) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069),U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(sK397(U_4076,U_4075,U_4070,U_4069),k1_relat_1(U_4075))
& v3_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069)) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
& r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
& r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
& v3_ordinal1(sK396(U_4076,U_4075,U_4066)) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
& v3_ordinal1(sK395(U_4076,U_4075)) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK399]),skolemize(U_4073,sK399(U_4076,U_4075))],[f_1457_6]) ).
fof(f_1457_8,plain,
! [U_4076] :
( ! [U_4075] :
( ( ( ( ( r1_ordinal2(U_4076,U_4075)
| ( ! [U_4072] :
( ( ( ~ r2_hidden(k1_funct_1(U_4075,sK400(U_4076,U_4075,U_4072)),sK399(U_4076,U_4075))
| ~ r2_hidden(sK398(U_4076,U_4075),k1_funct_1(U_4075,sK400(U_4076,U_4075,U_4072))) )
& r2_hidden(sK400(U_4076,U_4075,U_4072),k1_relat_1(U_4075))
& r1_ordinal1(U_4072,sK400(U_4076,U_4075,U_4072))
& v3_ordinal1(sK400(U_4076,U_4075,U_4072)) )
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072) )
& r2_hidden(U_4076,sK399(U_4076,U_4075))
& r2_hidden(sK398(U_4076,U_4075),U_4076)
& v3_ordinal1(sK399(U_4076,U_4075))
& v3_ordinal1(sK398(U_4076,U_4075)) ) )
& ( ! [U_4070] :
( ! [U_4069] :
( ( ! [U_4067] :
( ( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
& r2_hidden(U_4070,k1_funct_1(U_4075,U_4067)) )
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069),U_4067)
| ~ v3_ordinal1(U_4067) )
& r2_hidden(sK397(U_4076,U_4075,U_4070,U_4069),k1_relat_1(U_4075))
& v3_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069)) )
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069) )
| ~ v3_ordinal1(U_4070) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 = k1_xboole_0 )
& ( ( ( r1_ordinal2(U_4076,U_4075)
| ! [U_4066] :
( ( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
& r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
& r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
& v3_ordinal1(sK396(U_4076,U_4075,U_4066)) )
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066) ) )
& ( ( ! [U_4063] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063) )
& r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
& v3_ordinal1(sK395(U_4076,U_4075)) )
| ~ r1_ordinal2(U_4076,U_4075) ) )
| U_4076 != k1_xboole_0 ) )
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075) )
| ~ v3_ordinal1(U_4076) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK400]),skolemize(U_4071,sK400(U_4076,U_4075,U_4072))],[f_1457_7]) ).
fof(f_1457_9,plain,
( ! [U_4076,U_4075,U_4072] :
( ~ r2_hidden(k1_funct_1(U_4075,sK400(U_4076,U_4075,U_4072)),sK399(U_4076,U_4075))
| ~ r2_hidden(sK398(U_4076,U_4075),k1_funct_1(U_4075,sK400(U_4076,U_4075,U_4072)))
| ~ sP607(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( r2_hidden(sK400(U_4076,U_4075,U_4072),k1_relat_1(U_4075))
| ~ sP607(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( r1_ordinal1(U_4072,sK400(U_4076,U_4075,U_4072))
| ~ sP607(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( v3_ordinal1(sK400(U_4076,U_4075,U_4072))
| ~ sP607(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( sP607(U_4076,U_4075,U_4072)
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072)
| ~ sP608(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( r2_hidden(U_4076,sK399(U_4076,U_4075))
| ~ sP608(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( r2_hidden(sK398(U_4076,U_4075),U_4076)
| ~ sP608(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( v3_ordinal1(sK399(U_4076,U_4075))
| ~ sP608(U_4076,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4072] :
( v3_ordinal1(sK398(U_4076,U_4075))
| ~ sP608(U_4076,U_4075,U_4072) )
& ! [U_4067,U_4069,U_4070,U_4075] :
( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
| ~ sP605(U_4067,U_4069,U_4070,U_4075) )
& ! [U_4067,U_4069,U_4070,U_4075] :
( r2_hidden(U_4070,k1_funct_1(U_4075,U_4067))
| ~ sP605(U_4067,U_4069,U_4070,U_4075) )
& ! [U_4076,U_4067,U_4069,U_4070,U_4075] :
( sP605(U_4067,U_4069,U_4070,U_4075)
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069),U_4067)
| ~ v3_ordinal1(U_4067)
| ~ sP606(U_4076,U_4067,U_4069,U_4070,U_4075) )
& ! [U_4076,U_4067,U_4069,U_4070,U_4075] :
( r2_hidden(sK397(U_4076,U_4075,U_4070,U_4069),k1_relat_1(U_4075))
| ~ sP606(U_4076,U_4067,U_4069,U_4070,U_4075) )
& ! [U_4076,U_4067,U_4069,U_4070,U_4075] :
( v3_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069))
| ~ sP606(U_4076,U_4067,U_4069,U_4070,U_4075) )
& ! [U_4076,U_4067,U_4069,U_4070,U_4075,U_4072] :
( r1_ordinal2(U_4076,U_4075)
| sP608(U_4076,U_4075,U_4072)
| ~ sP609(U_4076,U_4067,U_4069,U_4070,U_4075,U_4072) )
& ! [U_4076,U_4067,U_4069,U_4070,U_4075,U_4072] :
( sP606(U_4076,U_4067,U_4069,U_4070,U_4075)
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069)
| ~ v3_ordinal1(U_4070)
| ~ r1_ordinal2(U_4076,U_4075)
| ~ sP609(U_4076,U_4067,U_4069,U_4070,U_4075,U_4072) )
& ! [U_4076,U_4075,U_4066] :
( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
| ~ sP603(U_4076,U_4075,U_4066) )
& ! [U_4076,U_4075,U_4066] :
( r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
| ~ sP603(U_4076,U_4075,U_4066) )
& ! [U_4076,U_4075,U_4066] :
( r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
| ~ sP603(U_4076,U_4075,U_4066) )
& ! [U_4076,U_4075,U_4066] :
( v3_ordinal1(sK396(U_4076,U_4075,U_4066))
| ~ sP603(U_4076,U_4075,U_4066) )
& ! [U_4076,U_4063,U_4075] :
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063)
| ~ sP602(U_4076,U_4063,U_4075) )
& ! [U_4076,U_4063,U_4075] :
( r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
| ~ sP602(U_4076,U_4063,U_4075) )
& ! [U_4076,U_4063,U_4075] :
( v3_ordinal1(sK395(U_4076,U_4075))
| ~ sP602(U_4076,U_4063,U_4075) )
& ! [U_4076,U_4063,U_4075,U_4066] :
( r1_ordinal2(U_4076,U_4075)
| sP603(U_4076,U_4075,U_4066)
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066)
| ~ sP604(U_4076,U_4063,U_4075,U_4066) )
& ! [U_4076,U_4063,U_4075,U_4066] :
( sP602(U_4076,U_4063,U_4075)
| ~ r1_ordinal2(U_4076,U_4075)
| ~ sP604(U_4076,U_4063,U_4075,U_4066) )
& ! [U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072] :
( sP609(U_4076,U_4067,U_4069,U_4070,U_4075,U_4072)
| U_4076 = k1_xboole_0
| ~ sP610(U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072) )
& ! [U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072] :
( sP604(U_4076,U_4063,U_4075,U_4066)
| U_4076 != k1_xboole_0
| ~ sP610(U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072) )
& ! [U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072] :
( sP610(U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072)
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075)
| ~ v3_ordinal1(U_4076) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP602,sP603,sP604,sP605,sP606,sP607,sP608,sP609,sP610])],[f_1457_8]) ).
cnf(f_1457_10,plain,
( sP610(U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072)
| ~ v1_ordinal2(U_4075)
| ~ v5_ordinal1(U_4075)
| ~ v1_funct_1(U_4075)
| ~ v1_relat_1(U_4075)
| ~ v3_ordinal1(U_4076) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_11,plain,
( sP604(U_4076,U_4063,U_4075,U_4066)
| U_4076 != k1_xboole_0
| ~ sP610(U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_12,plain,
( sP609(U_4076,U_4067,U_4069,U_4070,U_4075,U_4072)
| U_4076 = k1_xboole_0
| ~ sP610(U_4076,U_4063,U_4067,U_4069,U_4070,U_4075,U_4066,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_13,plain,
( sP602(U_4076,U_4063,U_4075)
| ~ r1_ordinal2(U_4076,U_4075)
| ~ sP604(U_4076,U_4063,U_4075,U_4066) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_14,plain,
( r1_ordinal2(U_4076,U_4075)
| sP603(U_4076,U_4075,U_4066)
| ~ r2_hidden(U_4066,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4066)
| ~ sP604(U_4076,U_4063,U_4075,U_4066) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_15,plain,
( v3_ordinal1(sK395(U_4076,U_4075))
| ~ sP602(U_4076,U_4063,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_16,plain,
( r2_hidden(sK395(U_4076,U_4075),k1_relat_1(U_4075))
| ~ sP602(U_4076,U_4063,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_17,plain,
( k1_funct_1(U_4075,U_4063) = k1_xboole_0
| ~ r2_hidden(U_4063,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK395(U_4076,U_4075),U_4063)
| ~ v3_ordinal1(U_4063)
| ~ sP602(U_4076,U_4063,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_18,plain,
( v3_ordinal1(sK396(U_4076,U_4075,U_4066))
| ~ sP603(U_4076,U_4075,U_4066) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_19,plain,
( r1_ordinal1(U_4066,sK396(U_4076,U_4075,U_4066))
| ~ sP603(U_4076,U_4075,U_4066) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_20,plain,
( r2_hidden(sK396(U_4076,U_4075,U_4066),k1_relat_1(U_4075))
| ~ sP603(U_4076,U_4075,U_4066) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_21,plain,
( k1_funct_1(U_4075,sK396(U_4076,U_4075,U_4066)) != k1_xboole_0
| ~ sP603(U_4076,U_4075,U_4066) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_22,plain,
( sP606(U_4076,U_4067,U_4069,U_4070,U_4075)
| ~ r2_hidden(U_4076,U_4069)
| ~ r2_hidden(U_4070,U_4076)
| ~ v3_ordinal1(U_4069)
| ~ v3_ordinal1(U_4070)
| ~ r1_ordinal2(U_4076,U_4075)
| ~ sP609(U_4076,U_4067,U_4069,U_4070,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_23,plain,
( r1_ordinal2(U_4076,U_4075)
| sP608(U_4076,U_4075,U_4072)
| ~ sP609(U_4076,U_4067,U_4069,U_4070,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_24,plain,
( v3_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069))
| ~ sP606(U_4076,U_4067,U_4069,U_4070,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_25,plain,
( r2_hidden(sK397(U_4076,U_4075,U_4070,U_4069),k1_relat_1(U_4075))
| ~ sP606(U_4076,U_4067,U_4069,U_4070,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_26,plain,
( sP605(U_4067,U_4069,U_4070,U_4075)
| ~ r2_hidden(U_4067,k1_relat_1(U_4075))
| ~ r1_ordinal1(sK397(U_4076,U_4075,U_4070,U_4069),U_4067)
| ~ v3_ordinal1(U_4067)
| ~ sP606(U_4076,U_4067,U_4069,U_4070,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_27,plain,
( r2_hidden(U_4070,k1_funct_1(U_4075,U_4067))
| ~ sP605(U_4067,U_4069,U_4070,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_28,plain,
( r2_hidden(k1_funct_1(U_4075,U_4067),U_4069)
| ~ sP605(U_4067,U_4069,U_4070,U_4075) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_29,plain,
( v3_ordinal1(sK398(U_4076,U_4075))
| ~ sP608(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_30,plain,
( v3_ordinal1(sK399(U_4076,U_4075))
| ~ sP608(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_31,plain,
( r2_hidden(sK398(U_4076,U_4075),U_4076)
| ~ sP608(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_32,plain,
( r2_hidden(U_4076,sK399(U_4076,U_4075))
| ~ sP608(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_33,plain,
( sP607(U_4076,U_4075,U_4072)
| ~ r2_hidden(U_4072,k1_relat_1(U_4075))
| ~ v3_ordinal1(U_4072)
| ~ sP608(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_34,plain,
( v3_ordinal1(sK400(U_4076,U_4075,U_4072))
| ~ sP607(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_35,plain,
( r1_ordinal1(U_4072,sK400(U_4076,U_4075,U_4072))
| ~ sP607(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_36,plain,
( r2_hidden(sK400(U_4076,U_4075,U_4072),k1_relat_1(U_4075))
| ~ sP607(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
cnf(f_1457_37,plain,
( ~ r2_hidden(k1_funct_1(U_4075,sK400(U_4076,U_4075,U_4072)),sK399(U_4076,U_4075))
| ~ r2_hidden(sK398(U_4076,U_4075),k1_funct_1(U_4075,sK400(U_4076,U_4075,U_4072)))
| ~ sP607(U_4076,U_4075,U_4072) ),
inference(clausify,[status(thm)],[f_1457_9]) ).
fof(f_1458_1,plain,
! [A] :
( ! [B] :
( ( ( B = k12_ordinal2(A)
| ~ r1_ordinal2(B,A) )
& ( r1_ordinal2(B,A)
| B != k12_ordinal2(A) ) )
| ~ v3_ordinal1(B) )
| ! [B] :
( ~ r1_ordinal2(B,A)
| ~ v3_ordinal1(B) )
| ~ v1_ordinal2(A)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d14_ordinal2]) ).
fof(f_1458_2,plain,
! [U_4079] :
( ! [U_4078] :
( ( ( U_4078 = k12_ordinal2(U_4079)
| ~ r1_ordinal2(U_4078,U_4079) )
& ( r1_ordinal2(U_4078,U_4079)
| U_4078 != k12_ordinal2(U_4079) ) )
| ~ v3_ordinal1(U_4078) )
| ! [U_4077] :
( ~ r1_ordinal2(U_4077,U_4079)
| ~ v3_ordinal1(U_4077) )
| ~ v1_ordinal2(U_4079)
| ~ v5_ordinal1(U_4079)
| ~ v1_funct_1(U_4079)
| ~ v1_relat_1(U_4079) ),
inference(variable_rename,[status(thm)],[f_1458_1]) ).
fof(f_1458_3,plain,
( ! [U_4078,U_4079] :
( U_4078 = k12_ordinal2(U_4079)
| ~ r1_ordinal2(U_4078,U_4079)
| ~ sP611(U_4078,U_4079) )
& ! [U_4078,U_4079] :
( r1_ordinal2(U_4078,U_4079)
| U_4078 != k12_ordinal2(U_4079)
| ~ sP611(U_4078,U_4079) )
& ! [U_4078,U_4079,U_4077] :
( sP611(U_4078,U_4079)
| ~ v3_ordinal1(U_4078)
| ~ r1_ordinal2(U_4077,U_4079)
| ~ v3_ordinal1(U_4077)
| ~ v1_ordinal2(U_4079)
| ~ v5_ordinal1(U_4079)
| ~ v1_funct_1(U_4079)
| ~ v1_relat_1(U_4079) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP611])],[f_1458_2]) ).
cnf(f_1458_4,plain,
( sP611(U_4078,U_4079)
| ~ v3_ordinal1(U_4078)
| ~ r1_ordinal2(U_4077,U_4079)
| ~ v3_ordinal1(U_4077)
| ~ v1_ordinal2(U_4079)
| ~ v5_ordinal1(U_4079)
| ~ v1_funct_1(U_4079)
| ~ v1_relat_1(U_4079) ),
inference(clausify,[status(thm)],[f_1458_3]) ).
cnf(f_1458_5,plain,
( r1_ordinal2(U_4078,U_4079)
| U_4078 != k12_ordinal2(U_4079)
| ~ sP611(U_4078,U_4079) ),
inference(clausify,[status(thm)],[f_1458_3]) ).
cnf(f_1458_6,plain,
( U_4078 = k12_ordinal2(U_4079)
| ~ r1_ordinal2(U_4078,U_4079)
| ~ sP611(U_4078,U_4079) ),
inference(clausify,[status(thm)],[f_1458_3]) ).
fof(f_1459_1,plain,
! [A] :
( ! [B] :
( k13_ordinal2(A,B) = k12_ordinal2(k2_ordinal1(B,A))
| ~ v1_ordinal2(B)
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[d15_ordinal2]) ).
fof(f_1459_2,plain,
! [U_4081] :
( ! [U_4080] :
( k13_ordinal2(U_4081,U_4080) = k12_ordinal2(k2_ordinal1(U_4080,U_4081))
| ~ v1_ordinal2(U_4080)
| ~ v5_ordinal1(U_4080)
| ~ v1_funct_1(U_4080)
| ~ v1_relat_1(U_4080) )
| ~ v3_ordinal1(U_4081) ),
inference(variable_rename,[status(thm)],[f_1459_1]) ).
fof(f_1459_3,plain,
! [U_4080,U_4081] :
( k13_ordinal2(U_4081,U_4080) = k12_ordinal2(k2_ordinal1(U_4080,U_4081))
| ~ v1_ordinal2(U_4080)
| ~ v5_ordinal1(U_4080)
| ~ v1_funct_1(U_4080)
| ~ v1_relat_1(U_4080)
| ~ v3_ordinal1(U_4081) ),
inference(definitional_conversion,[status(esa)],[f_1459_2]) ).
cnf(f_1459_4,plain,
( k13_ordinal2(U_4081,U_4080) = k12_ordinal2(k2_ordinal1(U_4080,U_4081))
| ~ v1_ordinal2(U_4080)
| ~ v5_ordinal1(U_4080)
| ~ v1_funct_1(U_4080)
| ~ v1_relat_1(U_4080)
| ~ v3_ordinal1(U_4081) ),
inference(clausify,[status(thm)],[f_1459_3]) ).
fof(f_1460_1,plain,
! [A] :
( ( ( v2_ordinal2(A)
| ? [B] :
( ? [C] :
( ~ r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C))
& r2_hidden(C,k1_relat_1(A))
& r2_hidden(B,C)
& v3_ordinal1(C) )
& v3_ordinal1(B) ) )
& ( ! [B] :
( ! [C] :
( r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C))
| ~ r2_hidden(C,k1_relat_1(A))
| ~ r2_hidden(B,C)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v2_ordinal2(A) ) )
| ~ v1_ordinal2(A)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d16_ordinal2]) ).
fof(f_1460_2,plain,
! [U_4086] :
( ( ( v2_ordinal2(U_4086)
| ? [U_4085] :
( ? [U_4084] :
( ~ r2_hidden(k1_funct_1(U_4086,U_4085),k1_funct_1(U_4086,U_4084))
& r2_hidden(U_4084,k1_relat_1(U_4086))
& r2_hidden(U_4085,U_4084)
& v3_ordinal1(U_4084) )
& v3_ordinal1(U_4085) ) )
& ( ! [U_4083] :
( ! [U_4082] :
( r2_hidden(k1_funct_1(U_4086,U_4083),k1_funct_1(U_4086,U_4082))
| ~ r2_hidden(U_4082,k1_relat_1(U_4086))
| ~ r2_hidden(U_4083,U_4082)
| ~ v3_ordinal1(U_4082) )
| ~ v3_ordinal1(U_4083) )
| ~ v2_ordinal2(U_4086) ) )
| ~ v1_ordinal2(U_4086)
| ~ v5_ordinal1(U_4086)
| ~ v1_funct_1(U_4086)
| ~ v1_relat_1(U_4086) ),
inference(variable_rename,[status(thm)],[f_1460_1]) ).
fof(f_1460_3,plain,
! [U_4086] :
( ( ( v2_ordinal2(U_4086)
| ( ? [U_4084] :
( ~ r2_hidden(k1_funct_1(U_4086,sK401(U_4086)),k1_funct_1(U_4086,U_4084))
& r2_hidden(U_4084,k1_relat_1(U_4086))
& r2_hidden(sK401(U_4086),U_4084)
& v3_ordinal1(U_4084) )
& v3_ordinal1(sK401(U_4086)) ) )
& ( ! [U_4083] :
( ! [U_4082] :
( r2_hidden(k1_funct_1(U_4086,U_4083),k1_funct_1(U_4086,U_4082))
| ~ r2_hidden(U_4082,k1_relat_1(U_4086))
| ~ r2_hidden(U_4083,U_4082)
| ~ v3_ordinal1(U_4082) )
| ~ v3_ordinal1(U_4083) )
| ~ v2_ordinal2(U_4086) ) )
| ~ v1_ordinal2(U_4086)
| ~ v5_ordinal1(U_4086)
| ~ v1_funct_1(U_4086)
| ~ v1_relat_1(U_4086) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK401]),skolemize(U_4085,sK401(U_4086))],[f_1460_2]) ).
fof(f_1460_4,plain,
! [U_4086] :
( ( ( v2_ordinal2(U_4086)
| ( ~ r2_hidden(k1_funct_1(U_4086,sK401(U_4086)),k1_funct_1(U_4086,sK402(U_4086)))
& r2_hidden(sK402(U_4086),k1_relat_1(U_4086))
& r2_hidden(sK401(U_4086),sK402(U_4086))
& v3_ordinal1(sK402(U_4086))
& v3_ordinal1(sK401(U_4086)) ) )
& ( ! [U_4083] :
( ! [U_4082] :
( r2_hidden(k1_funct_1(U_4086,U_4083),k1_funct_1(U_4086,U_4082))
| ~ r2_hidden(U_4082,k1_relat_1(U_4086))
| ~ r2_hidden(U_4083,U_4082)
| ~ v3_ordinal1(U_4082) )
| ~ v3_ordinal1(U_4083) )
| ~ v2_ordinal2(U_4086) ) )
| ~ v1_ordinal2(U_4086)
| ~ v5_ordinal1(U_4086)
| ~ v1_funct_1(U_4086)
| ~ v1_relat_1(U_4086) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK402]),skolemize(U_4084,sK402(U_4086))],[f_1460_3]) ).
fof(f_1460_5,plain,
( ! [U_4086] :
( ~ r2_hidden(k1_funct_1(U_4086,sK401(U_4086)),k1_funct_1(U_4086,sK402(U_4086)))
| ~ sP612(U_4086) )
& ! [U_4086] :
( r2_hidden(sK402(U_4086),k1_relat_1(U_4086))
| ~ sP612(U_4086) )
& ! [U_4086] :
( r2_hidden(sK401(U_4086),sK402(U_4086))
| ~ sP612(U_4086) )
& ! [U_4086] :
( v3_ordinal1(sK402(U_4086))
| ~ sP612(U_4086) )
& ! [U_4086] :
( v3_ordinal1(sK401(U_4086))
| ~ sP612(U_4086) )
& ! [U_4082,U_4083,U_4086] :
( v2_ordinal2(U_4086)
| sP612(U_4086)
| ~ sP613(U_4082,U_4083,U_4086) )
& ! [U_4082,U_4083,U_4086] :
( r2_hidden(k1_funct_1(U_4086,U_4083),k1_funct_1(U_4086,U_4082))
| ~ r2_hidden(U_4082,k1_relat_1(U_4086))
| ~ r2_hidden(U_4083,U_4082)
| ~ v3_ordinal1(U_4082)
| ~ v3_ordinal1(U_4083)
| ~ v2_ordinal2(U_4086)
| ~ sP613(U_4082,U_4083,U_4086) )
& ! [U_4082,U_4083,U_4086] :
( sP613(U_4082,U_4083,U_4086)
| ~ v1_ordinal2(U_4086)
| ~ v5_ordinal1(U_4086)
| ~ v1_funct_1(U_4086)
| ~ v1_relat_1(U_4086) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP612,sP613])],[f_1460_4]) ).
cnf(f_1460_6,plain,
( sP613(U_4082,U_4083,U_4086)
| ~ v1_ordinal2(U_4086)
| ~ v5_ordinal1(U_4086)
| ~ v1_funct_1(U_4086)
| ~ v1_relat_1(U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_7,plain,
( r2_hidden(k1_funct_1(U_4086,U_4083),k1_funct_1(U_4086,U_4082))
| ~ r2_hidden(U_4082,k1_relat_1(U_4086))
| ~ r2_hidden(U_4083,U_4082)
| ~ v3_ordinal1(U_4082)
| ~ v3_ordinal1(U_4083)
| ~ v2_ordinal2(U_4086)
| ~ sP613(U_4082,U_4083,U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_8,plain,
( v2_ordinal2(U_4086)
| sP612(U_4086)
| ~ sP613(U_4082,U_4083,U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_9,plain,
( v3_ordinal1(sK401(U_4086))
| ~ sP612(U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_10,plain,
( v3_ordinal1(sK402(U_4086))
| ~ sP612(U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_11,plain,
( r2_hidden(sK401(U_4086),sK402(U_4086))
| ~ sP612(U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_12,plain,
( r2_hidden(sK402(U_4086),k1_relat_1(U_4086))
| ~ sP612(U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
cnf(f_1460_13,plain,
( ~ r2_hidden(k1_funct_1(U_4086,sK401(U_4086)),k1_funct_1(U_4086,sK402(U_4086)))
| ~ sP612(U_4086) ),
inference(clausify,[status(thm)],[f_1460_5]) ).
fof(f_1461_1,plain,
! [A] :
( ( ( v3_ordinal2(A)
| ? [B] :
( ? [C] :
( ~ r1_ordinal2(C,k2_ordinal1(A,B))
& B != k1_xboole_0
& C = k1_funct_1(A,B)
& v4_ordinal1(B)
& r2_hidden(B,k1_relat_1(A))
& v3_ordinal1(C) )
& v3_ordinal1(B) ) )
& ( ! [B] :
( ! [C] :
( r1_ordinal2(C,k2_ordinal1(A,B))
| B = k1_xboole_0
| C != k1_funct_1(A,B)
| ~ v4_ordinal1(B)
| ~ r2_hidden(B,k1_relat_1(A))
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal2(A) ) )
| ~ v1_ordinal2(A)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d17_ordinal2]) ).
fof(f_1461_2,plain,
! [U_4091] :
( ( ( v3_ordinal2(U_4091)
| ? [U_4090] :
( ? [U_4089] :
( ~ r1_ordinal2(U_4089,k2_ordinal1(U_4091,U_4090))
& U_4090 != k1_xboole_0
& U_4089 = k1_funct_1(U_4091,U_4090)
& v4_ordinal1(U_4090)
& r2_hidden(U_4090,k1_relat_1(U_4091))
& v3_ordinal1(U_4089) )
& v3_ordinal1(U_4090) ) )
& ( ! [U_4088] :
( ! [U_4087] :
( r1_ordinal2(U_4087,k2_ordinal1(U_4091,U_4088))
| U_4088 = k1_xboole_0
| U_4087 != k1_funct_1(U_4091,U_4088)
| ~ v4_ordinal1(U_4088)
| ~ r2_hidden(U_4088,k1_relat_1(U_4091))
| ~ v3_ordinal1(U_4087) )
| ~ v3_ordinal1(U_4088) )
| ~ v3_ordinal2(U_4091) ) )
| ~ v1_ordinal2(U_4091)
| ~ v5_ordinal1(U_4091)
| ~ v1_funct_1(U_4091)
| ~ v1_relat_1(U_4091) ),
inference(variable_rename,[status(thm)],[f_1461_1]) ).
fof(f_1461_3,plain,
! [U_4091] :
( ( ( v3_ordinal2(U_4091)
| ( ? [U_4089] :
( ~ r1_ordinal2(U_4089,k2_ordinal1(U_4091,sK403(U_4091)))
& sK403(U_4091) != k1_xboole_0
& U_4089 = k1_funct_1(U_4091,sK403(U_4091))
& v4_ordinal1(sK403(U_4091))
& r2_hidden(sK403(U_4091),k1_relat_1(U_4091))
& v3_ordinal1(U_4089) )
& v3_ordinal1(sK403(U_4091)) ) )
& ( ! [U_4088] :
( ! [U_4087] :
( r1_ordinal2(U_4087,k2_ordinal1(U_4091,U_4088))
| U_4088 = k1_xboole_0
| U_4087 != k1_funct_1(U_4091,U_4088)
| ~ v4_ordinal1(U_4088)
| ~ r2_hidden(U_4088,k1_relat_1(U_4091))
| ~ v3_ordinal1(U_4087) )
| ~ v3_ordinal1(U_4088) )
| ~ v3_ordinal2(U_4091) ) )
| ~ v1_ordinal2(U_4091)
| ~ v5_ordinal1(U_4091)
| ~ v1_funct_1(U_4091)
| ~ v1_relat_1(U_4091) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK403]),skolemize(U_4090,sK403(U_4091))],[f_1461_2]) ).
fof(f_1461_4,plain,
! [U_4091] :
( ( ( v3_ordinal2(U_4091)
| ( ~ r1_ordinal2(sK404(U_4091),k2_ordinal1(U_4091,sK403(U_4091)))
& sK403(U_4091) != k1_xboole_0
& sK404(U_4091) = k1_funct_1(U_4091,sK403(U_4091))
& v4_ordinal1(sK403(U_4091))
& r2_hidden(sK403(U_4091),k1_relat_1(U_4091))
& v3_ordinal1(sK404(U_4091))
& v3_ordinal1(sK403(U_4091)) ) )
& ( ! [U_4088] :
( ! [U_4087] :
( r1_ordinal2(U_4087,k2_ordinal1(U_4091,U_4088))
| U_4088 = k1_xboole_0
| U_4087 != k1_funct_1(U_4091,U_4088)
| ~ v4_ordinal1(U_4088)
| ~ r2_hidden(U_4088,k1_relat_1(U_4091))
| ~ v3_ordinal1(U_4087) )
| ~ v3_ordinal1(U_4088) )
| ~ v3_ordinal2(U_4091) ) )
| ~ v1_ordinal2(U_4091)
| ~ v5_ordinal1(U_4091)
| ~ v1_funct_1(U_4091)
| ~ v1_relat_1(U_4091) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK404]),skolemize(U_4089,sK404(U_4091))],[f_1461_3]) ).
fof(f_1461_5,plain,
( ! [U_4091] :
( ~ r1_ordinal2(sK404(U_4091),k2_ordinal1(U_4091,sK403(U_4091)))
| ~ sP614(U_4091) )
& ! [U_4091] :
( sK403(U_4091) != k1_xboole_0
| ~ sP614(U_4091) )
& ! [U_4091] :
( sK404(U_4091) = k1_funct_1(U_4091,sK403(U_4091))
| ~ sP614(U_4091) )
& ! [U_4091] :
( v4_ordinal1(sK403(U_4091))
| ~ sP614(U_4091) )
& ! [U_4091] :
( r2_hidden(sK403(U_4091),k1_relat_1(U_4091))
| ~ sP614(U_4091) )
& ! [U_4091] :
( v3_ordinal1(sK404(U_4091))
| ~ sP614(U_4091) )
& ! [U_4091] :
( v3_ordinal1(sK403(U_4091))
| ~ sP614(U_4091) )
& ! [U_4088,U_4087,U_4091] :
( v3_ordinal2(U_4091)
| sP614(U_4091)
| ~ sP615(U_4088,U_4087,U_4091) )
& ! [U_4088,U_4087,U_4091] :
( r1_ordinal2(U_4087,k2_ordinal1(U_4091,U_4088))
| U_4088 = k1_xboole_0
| U_4087 != k1_funct_1(U_4091,U_4088)
| ~ v4_ordinal1(U_4088)
| ~ r2_hidden(U_4088,k1_relat_1(U_4091))
| ~ v3_ordinal1(U_4087)
| ~ v3_ordinal1(U_4088)
| ~ v3_ordinal2(U_4091)
| ~ sP615(U_4088,U_4087,U_4091) )
& ! [U_4088,U_4087,U_4091] :
( sP615(U_4088,U_4087,U_4091)
| ~ v1_ordinal2(U_4091)
| ~ v5_ordinal1(U_4091)
| ~ v1_funct_1(U_4091)
| ~ v1_relat_1(U_4091) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP614,sP615])],[f_1461_4]) ).
cnf(f_1461_6,plain,
( sP615(U_4088,U_4087,U_4091)
| ~ v1_ordinal2(U_4091)
| ~ v5_ordinal1(U_4091)
| ~ v1_funct_1(U_4091)
| ~ v1_relat_1(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_7,plain,
( r1_ordinal2(U_4087,k2_ordinal1(U_4091,U_4088))
| U_4088 = k1_xboole_0
| U_4087 != k1_funct_1(U_4091,U_4088)
| ~ v4_ordinal1(U_4088)
| ~ r2_hidden(U_4088,k1_relat_1(U_4091))
| ~ v3_ordinal1(U_4087)
| ~ v3_ordinal1(U_4088)
| ~ v3_ordinal2(U_4091)
| ~ sP615(U_4088,U_4087,U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_8,plain,
( v3_ordinal2(U_4091)
| sP614(U_4091)
| ~ sP615(U_4088,U_4087,U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_9,plain,
( v3_ordinal1(sK403(U_4091))
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_10,plain,
( v3_ordinal1(sK404(U_4091))
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_11,plain,
( r2_hidden(sK403(U_4091),k1_relat_1(U_4091))
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_12,plain,
( v4_ordinal1(sK403(U_4091))
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_13,plain,
( sK404(U_4091) = k1_funct_1(U_4091,sK403(U_4091))
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_14,plain,
( sK403(U_4091) != k1_xboole_0
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
cnf(f_1461_15,plain,
( ~ r1_ordinal2(sK404(U_4091),k2_ordinal1(U_4091,sK403(U_4091)))
| ~ sP614(U_4091) ),
inference(clausify,[status(thm)],[f_1461_5]) ).
fof(f_1462_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k14_ordinal2(A,B)
| ! [D] :
( ? [E] :
( k1_funct_1(D,E) != k8_ordinal2(k2_ordinal1(D,E))
& E != k1_xboole_0
& v4_ordinal1(E)
& r2_hidden(E,k1_ordinal1(B))
& v3_ordinal1(E) )
| ? [E] :
( k1_funct_1(D,k1_ordinal1(E)) != k1_ordinal1(k1_funct_1(D,E))
& r2_hidden(k1_ordinal1(E),k1_ordinal1(B))
& v3_ordinal1(E) )
| k1_funct_1(D,k1_xboole_0) != A
| k1_relat_1(D) != k1_ordinal1(B)
| C != k1_ordinal2(D)
| ~ v1_ordinal2(D)
| ~ v5_ordinal1(D)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) ) )
& ( ? [D] :
( ! [E] :
( k1_funct_1(D,E) = k8_ordinal2(k2_ordinal1(D,E))
| E = k1_xboole_0
| ~ v4_ordinal1(E)
| ~ r2_hidden(E,k1_ordinal1(B))
| ~ v3_ordinal1(E) )
& ! [E] :
( k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E))
| ~ r2_hidden(k1_ordinal1(E),k1_ordinal1(B))
| ~ v3_ordinal1(E) )
& k1_funct_1(D,k1_xboole_0) = A
& k1_relat_1(D) = k1_ordinal1(B)
& C = k1_ordinal2(D)
& v1_ordinal2(D)
& v5_ordinal1(D)
& v1_funct_1(D)
& v1_relat_1(D) )
| C != k14_ordinal2(A,B) ) )
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[d18_ordinal2]) ).
fof(f_1462_2,plain,
! [U_4100] :
( ! [U_4099] :
( ! [U_4098] :
( ( ( U_4098 = k14_ordinal2(U_4100,U_4099)
| ! [U_4097] :
( ? [U_4096] :
( k1_funct_1(U_4097,U_4096) != k8_ordinal2(k2_ordinal1(U_4097,U_4096))
& U_4096 != k1_xboole_0
& v4_ordinal1(U_4096)
& r2_hidden(U_4096,k1_ordinal1(U_4099))
& v3_ordinal1(U_4096) )
| ? [U_4095] :
( k1_funct_1(U_4097,k1_ordinal1(U_4095)) != k1_ordinal1(k1_funct_1(U_4097,U_4095))
& r2_hidden(k1_ordinal1(U_4095),k1_ordinal1(U_4099))
& v3_ordinal1(U_4095) )
| k1_funct_1(U_4097,k1_xboole_0) != U_4100
| k1_relat_1(U_4097) != k1_ordinal1(U_4099)
| U_4098 != k1_ordinal2(U_4097)
| ~ v1_ordinal2(U_4097)
| ~ v5_ordinal1(U_4097)
| ~ v1_funct_1(U_4097)
| ~ v1_relat_1(U_4097) ) )
& ( ? [U_4094] :
( ! [U_4093] :
( k1_funct_1(U_4094,U_4093) = k8_ordinal2(k2_ordinal1(U_4094,U_4093))
| U_4093 = k1_xboole_0
| ~ v4_ordinal1(U_4093)
| ~ r2_hidden(U_4093,k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4093) )
& ! [U_4092] :
( k1_funct_1(U_4094,k1_ordinal1(U_4092)) = k1_ordinal1(k1_funct_1(U_4094,U_4092))
| ~ r2_hidden(k1_ordinal1(U_4092),k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4092) )
& k1_funct_1(U_4094,k1_xboole_0) = U_4100
& k1_relat_1(U_4094) = k1_ordinal1(U_4099)
& U_4098 = k1_ordinal2(U_4094)
& v1_ordinal2(U_4094)
& v5_ordinal1(U_4094)
& v1_funct_1(U_4094)
& v1_relat_1(U_4094) )
| U_4098 != k14_ordinal2(U_4100,U_4099) ) )
| ~ v3_ordinal1(U_4098) )
| ~ v3_ordinal1(U_4099) )
| ~ v3_ordinal1(U_4100) ),
inference(variable_rename,[status(thm)],[f_1462_1]) ).
fof(f_1462_3,plain,
! [U_4100] :
( ! [U_4099] :
( ! [U_4098] :
( ( ( U_4098 = k14_ordinal2(U_4100,U_4099)
| ! [U_4097] :
( ? [U_4096] :
( k1_funct_1(U_4097,U_4096) != k8_ordinal2(k2_ordinal1(U_4097,U_4096))
& U_4096 != k1_xboole_0
& v4_ordinal1(U_4096)
& r2_hidden(U_4096,k1_ordinal1(U_4099))
& v3_ordinal1(U_4096) )
| ? [U_4095] :
( k1_funct_1(U_4097,k1_ordinal1(U_4095)) != k1_ordinal1(k1_funct_1(U_4097,U_4095))
& r2_hidden(k1_ordinal1(U_4095),k1_ordinal1(U_4099))
& v3_ordinal1(U_4095) )
| k1_funct_1(U_4097,k1_xboole_0) != U_4100
| k1_relat_1(U_4097) != k1_ordinal1(U_4099)
| U_4098 != k1_ordinal2(U_4097)
| ~ v1_ordinal2(U_4097)
| ~ v5_ordinal1(U_4097)
| ~ v1_funct_1(U_4097)
| ~ v1_relat_1(U_4097) ) )
& ( ( ! [U_4093] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4093) = k8_ordinal2(k2_ordinal1(sK405(U_4100,U_4099,U_4098),U_4093))
| U_4093 = k1_xboole_0
| ~ v4_ordinal1(U_4093)
| ~ r2_hidden(U_4093,k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4093) )
& ! [U_4092] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_ordinal1(U_4092)) = k1_ordinal1(k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4092))
| ~ r2_hidden(k1_ordinal1(U_4092),k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4092) )
& k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_xboole_0) = U_4100
& k1_relat_1(sK405(U_4100,U_4099,U_4098)) = k1_ordinal1(U_4099)
& U_4098 = k1_ordinal2(sK405(U_4100,U_4099,U_4098))
& v1_ordinal2(sK405(U_4100,U_4099,U_4098))
& v5_ordinal1(sK405(U_4100,U_4099,U_4098))
& v1_funct_1(sK405(U_4100,U_4099,U_4098))
& v1_relat_1(sK405(U_4100,U_4099,U_4098)) )
| U_4098 != k14_ordinal2(U_4100,U_4099) ) )
| ~ v3_ordinal1(U_4098) )
| ~ v3_ordinal1(U_4099) )
| ~ v3_ordinal1(U_4100) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK405]),skolemize(U_4094,sK405(U_4100,U_4099,U_4098))],[f_1462_2]) ).
fof(f_1462_4,plain,
! [U_4100] :
( ! [U_4099] :
( ! [U_4098] :
( ( ( U_4098 = k14_ordinal2(U_4100,U_4099)
| ! [U_4097] :
( ? [U_4096] :
( k1_funct_1(U_4097,U_4096) != k8_ordinal2(k2_ordinal1(U_4097,U_4096))
& U_4096 != k1_xboole_0
& v4_ordinal1(U_4096)
& r2_hidden(U_4096,k1_ordinal1(U_4099))
& v3_ordinal1(U_4096) )
| ( k1_funct_1(U_4097,k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097))) != k1_ordinal1(k1_funct_1(U_4097,sK406(U_4100,U_4099,U_4098,U_4097)))
& r2_hidden(k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097)),k1_ordinal1(U_4099))
& v3_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097)) )
| k1_funct_1(U_4097,k1_xboole_0) != U_4100
| k1_relat_1(U_4097) != k1_ordinal1(U_4099)
| U_4098 != k1_ordinal2(U_4097)
| ~ v1_ordinal2(U_4097)
| ~ v5_ordinal1(U_4097)
| ~ v1_funct_1(U_4097)
| ~ v1_relat_1(U_4097) ) )
& ( ( ! [U_4093] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4093) = k8_ordinal2(k2_ordinal1(sK405(U_4100,U_4099,U_4098),U_4093))
| U_4093 = k1_xboole_0
| ~ v4_ordinal1(U_4093)
| ~ r2_hidden(U_4093,k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4093) )
& ! [U_4092] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_ordinal1(U_4092)) = k1_ordinal1(k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4092))
| ~ r2_hidden(k1_ordinal1(U_4092),k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4092) )
& k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_xboole_0) = U_4100
& k1_relat_1(sK405(U_4100,U_4099,U_4098)) = k1_ordinal1(U_4099)
& U_4098 = k1_ordinal2(sK405(U_4100,U_4099,U_4098))
& v1_ordinal2(sK405(U_4100,U_4099,U_4098))
& v5_ordinal1(sK405(U_4100,U_4099,U_4098))
& v1_funct_1(sK405(U_4100,U_4099,U_4098))
& v1_relat_1(sK405(U_4100,U_4099,U_4098)) )
| U_4098 != k14_ordinal2(U_4100,U_4099) ) )
| ~ v3_ordinal1(U_4098) )
| ~ v3_ordinal1(U_4099) )
| ~ v3_ordinal1(U_4100) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK406]),skolemize(U_4095,sK406(U_4100,U_4099,U_4098,U_4097))],[f_1462_3]) ).
fof(f_1462_5,plain,
! [U_4100] :
( ! [U_4099] :
( ! [U_4098] :
( ( ( U_4098 = k14_ordinal2(U_4100,U_4099)
| ! [U_4097] :
( ( k1_funct_1(U_4097,sK407(U_4100,U_4099,U_4098,U_4097)) != k8_ordinal2(k2_ordinal1(U_4097,sK407(U_4100,U_4099,U_4098,U_4097)))
& sK407(U_4100,U_4099,U_4098,U_4097) != k1_xboole_0
& v4_ordinal1(sK407(U_4100,U_4099,U_4098,U_4097))
& r2_hidden(sK407(U_4100,U_4099,U_4098,U_4097),k1_ordinal1(U_4099))
& v3_ordinal1(sK407(U_4100,U_4099,U_4098,U_4097)) )
| ( k1_funct_1(U_4097,k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097))) != k1_ordinal1(k1_funct_1(U_4097,sK406(U_4100,U_4099,U_4098,U_4097)))
& r2_hidden(k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097)),k1_ordinal1(U_4099))
& v3_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097)) )
| k1_funct_1(U_4097,k1_xboole_0) != U_4100
| k1_relat_1(U_4097) != k1_ordinal1(U_4099)
| U_4098 != k1_ordinal2(U_4097)
| ~ v1_ordinal2(U_4097)
| ~ v5_ordinal1(U_4097)
| ~ v1_funct_1(U_4097)
| ~ v1_relat_1(U_4097) ) )
& ( ( ! [U_4093] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4093) = k8_ordinal2(k2_ordinal1(sK405(U_4100,U_4099,U_4098),U_4093))
| U_4093 = k1_xboole_0
| ~ v4_ordinal1(U_4093)
| ~ r2_hidden(U_4093,k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4093) )
& ! [U_4092] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_ordinal1(U_4092)) = k1_ordinal1(k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4092))
| ~ r2_hidden(k1_ordinal1(U_4092),k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4092) )
& k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_xboole_0) = U_4100
& k1_relat_1(sK405(U_4100,U_4099,U_4098)) = k1_ordinal1(U_4099)
& U_4098 = k1_ordinal2(sK405(U_4100,U_4099,U_4098))
& v1_ordinal2(sK405(U_4100,U_4099,U_4098))
& v5_ordinal1(sK405(U_4100,U_4099,U_4098))
& v1_funct_1(sK405(U_4100,U_4099,U_4098))
& v1_relat_1(sK405(U_4100,U_4099,U_4098)) )
| U_4098 != k14_ordinal2(U_4100,U_4099) ) )
| ~ v3_ordinal1(U_4098) )
| ~ v3_ordinal1(U_4099) )
| ~ v3_ordinal1(U_4100) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK407]),skolemize(U_4096,sK407(U_4100,U_4099,U_4098,U_4097))],[f_1462_4]) ).
fof(f_1462_6,plain,
( ! [U_4099,U_4098,U_4097,U_4100] :
( k1_funct_1(U_4097,sK407(U_4100,U_4099,U_4098,U_4097)) != k8_ordinal2(k2_ordinal1(U_4097,sK407(U_4100,U_4099,U_4098,U_4097)))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( sK407(U_4100,U_4099,U_4098,U_4097) != k1_xboole_0
| ~ sP618(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( v4_ordinal1(sK407(U_4100,U_4099,U_4098,U_4097))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( r2_hidden(sK407(U_4100,U_4099,U_4098,U_4097),k1_ordinal1(U_4099))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( v3_ordinal1(sK407(U_4100,U_4099,U_4098,U_4097))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( k1_funct_1(U_4097,k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097))) != k1_ordinal1(k1_funct_1(U_4097,sK406(U_4100,U_4099,U_4098,U_4097)))
| ~ sP617(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( r2_hidden(k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097)),k1_ordinal1(U_4099))
| ~ sP617(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4098,U_4097,U_4100] :
( v3_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097))
| ~ sP617(U_4099,U_4098,U_4097,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4093) = k8_ordinal2(k2_ordinal1(sK405(U_4100,U_4099,U_4098),U_4093))
| U_4093 = k1_xboole_0
| ~ v4_ordinal1(U_4093)
| ~ r2_hidden(U_4093,k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4093)
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_ordinal1(U_4092)) = k1_ordinal1(k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4092))
| ~ r2_hidden(k1_ordinal1(U_4092),k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4092)
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_xboole_0) = U_4100
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( k1_relat_1(sK405(U_4100,U_4099,U_4098)) = k1_ordinal1(U_4099)
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( U_4098 = k1_ordinal2(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( v1_ordinal2(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( v5_ordinal1(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( v1_funct_1(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4100] :
( v1_relat_1(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4097,U_4100] :
( U_4098 = k14_ordinal2(U_4100,U_4099)
| sP618(U_4099,U_4098,U_4097,U_4100)
| sP617(U_4099,U_4098,U_4097,U_4100)
| k1_funct_1(U_4097,k1_xboole_0) != U_4100
| k1_relat_1(U_4097) != k1_ordinal1(U_4099)
| U_4098 != k1_ordinal2(U_4097)
| ~ v1_ordinal2(U_4097)
| ~ v5_ordinal1(U_4097)
| ~ v1_funct_1(U_4097)
| ~ v1_relat_1(U_4097)
| ~ sP619(U_4099,U_4093,U_4098,U_4092,U_4097,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4097,U_4100] :
( sP616(U_4099,U_4093,U_4098,U_4092,U_4100)
| U_4098 != k14_ordinal2(U_4100,U_4099)
| ~ sP619(U_4099,U_4093,U_4098,U_4092,U_4097,U_4100) )
& ! [U_4099,U_4093,U_4098,U_4092,U_4097,U_4100] :
( sP619(U_4099,U_4093,U_4098,U_4092,U_4097,U_4100)
| ~ v3_ordinal1(U_4098)
| ~ v3_ordinal1(U_4099)
| ~ v3_ordinal1(U_4100) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP616,sP617,sP618,sP619])],[f_1462_5]) ).
cnf(f_1462_7,plain,
( sP619(U_4099,U_4093,U_4098,U_4092,U_4097,U_4100)
| ~ v3_ordinal1(U_4098)
| ~ v3_ordinal1(U_4099)
| ~ v3_ordinal1(U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_8,plain,
( sP616(U_4099,U_4093,U_4098,U_4092,U_4100)
| U_4098 != k14_ordinal2(U_4100,U_4099)
| ~ sP619(U_4099,U_4093,U_4098,U_4092,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_9,plain,
( U_4098 = k14_ordinal2(U_4100,U_4099)
| sP618(U_4099,U_4098,U_4097,U_4100)
| sP617(U_4099,U_4098,U_4097,U_4100)
| k1_funct_1(U_4097,k1_xboole_0) != U_4100
| k1_relat_1(U_4097) != k1_ordinal1(U_4099)
| U_4098 != k1_ordinal2(U_4097)
| ~ v1_ordinal2(U_4097)
| ~ v5_ordinal1(U_4097)
| ~ v1_funct_1(U_4097)
| ~ v1_relat_1(U_4097)
| ~ sP619(U_4099,U_4093,U_4098,U_4092,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_10,plain,
( v1_relat_1(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_11,plain,
( v1_funct_1(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_12,plain,
( v5_ordinal1(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_13,plain,
( v1_ordinal2(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_14,plain,
( U_4098 = k1_ordinal2(sK405(U_4100,U_4099,U_4098))
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_15,plain,
( k1_relat_1(sK405(U_4100,U_4099,U_4098)) = k1_ordinal1(U_4099)
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_16,plain,
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_xboole_0) = U_4100
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_17,plain,
( k1_funct_1(sK405(U_4100,U_4099,U_4098),k1_ordinal1(U_4092)) = k1_ordinal1(k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4092))
| ~ r2_hidden(k1_ordinal1(U_4092),k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4092)
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_18,plain,
( k1_funct_1(sK405(U_4100,U_4099,U_4098),U_4093) = k8_ordinal2(k2_ordinal1(sK405(U_4100,U_4099,U_4098),U_4093))
| U_4093 = k1_xboole_0
| ~ v4_ordinal1(U_4093)
| ~ r2_hidden(U_4093,k1_ordinal1(U_4099))
| ~ v3_ordinal1(U_4093)
| ~ sP616(U_4099,U_4093,U_4098,U_4092,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_19,plain,
( v3_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097))
| ~ sP617(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_20,plain,
( r2_hidden(k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097)),k1_ordinal1(U_4099))
| ~ sP617(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_21,plain,
( k1_funct_1(U_4097,k1_ordinal1(sK406(U_4100,U_4099,U_4098,U_4097))) != k1_ordinal1(k1_funct_1(U_4097,sK406(U_4100,U_4099,U_4098,U_4097)))
| ~ sP617(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_22,plain,
( v3_ordinal1(sK407(U_4100,U_4099,U_4098,U_4097))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_23,plain,
( r2_hidden(sK407(U_4100,U_4099,U_4098,U_4097),k1_ordinal1(U_4099))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_24,plain,
( v4_ordinal1(sK407(U_4100,U_4099,U_4098,U_4097))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_25,plain,
( sK407(U_4100,U_4099,U_4098,U_4097) != k1_xboole_0
| ~ sP618(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
cnf(f_1462_26,plain,
( k1_funct_1(U_4097,sK407(U_4100,U_4099,U_4098,U_4097)) != k8_ordinal2(k2_ordinal1(U_4097,sK407(U_4100,U_4099,U_4098,U_4097)))
| ~ sP618(U_4099,U_4098,U_4097,U_4100) ),
inference(clausify,[status(thm)],[f_1462_6]) ).
fof(f_1463_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k15_ordinal2(A,B)
| ! [D] :
( ? [E] :
( k1_funct_1(D,E) != k3_tarski(k8_ordinal2(k2_ordinal1(D,E)))
& E != k1_xboole_0
& v4_ordinal1(E)
& r2_hidden(E,k1_ordinal1(A))
& v3_ordinal1(E) )
| ? [E] :
( k1_funct_1(D,k1_ordinal1(E)) != k14_ordinal2(k1_funct_1(D,E),B)
& r2_hidden(k1_ordinal1(E),k1_ordinal1(A))
& v3_ordinal1(E) )
| k1_funct_1(D,k1_xboole_0) != k1_xboole_0
| k1_relat_1(D) != k1_ordinal1(A)
| C != k1_ordinal2(D)
| ~ v1_ordinal2(D)
| ~ v5_ordinal1(D)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) ) )
& ( ? [D] :
( ! [E] :
( k1_funct_1(D,E) = k3_tarski(k8_ordinal2(k2_ordinal1(D,E)))
| E = k1_xboole_0
| ~ v4_ordinal1(E)
| ~ r2_hidden(E,k1_ordinal1(A))
| ~ v3_ordinal1(E) )
& ! [E] :
( k1_funct_1(D,k1_ordinal1(E)) = k14_ordinal2(k1_funct_1(D,E),B)
| ~ r2_hidden(k1_ordinal1(E),k1_ordinal1(A))
| ~ v3_ordinal1(E) )
& k1_funct_1(D,k1_xboole_0) = k1_xboole_0
& k1_relat_1(D) = k1_ordinal1(A)
& C = k1_ordinal2(D)
& v1_ordinal2(D)
& v5_ordinal1(D)
& v1_funct_1(D)
& v1_relat_1(D) )
| C != k15_ordinal2(A,B) ) )
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[d19_ordinal2]) ).
fof(f_1463_2,plain,
! [U_4109] :
( ! [U_4108] :
( ! [U_4107] :
( ( ( U_4107 = k15_ordinal2(U_4109,U_4108)
| ! [U_4106] :
( ? [U_4105] :
( k1_funct_1(U_4106,U_4105) != k3_tarski(k8_ordinal2(k2_ordinal1(U_4106,U_4105)))
& U_4105 != k1_xboole_0
& v4_ordinal1(U_4105)
& r2_hidden(U_4105,k1_ordinal1(U_4109))
& v3_ordinal1(U_4105) )
| ? [U_4104] :
( k1_funct_1(U_4106,k1_ordinal1(U_4104)) != k14_ordinal2(k1_funct_1(U_4106,U_4104),U_4108)
& r2_hidden(k1_ordinal1(U_4104),k1_ordinal1(U_4109))
& v3_ordinal1(U_4104) )
| k1_funct_1(U_4106,k1_xboole_0) != k1_xboole_0
| k1_relat_1(U_4106) != k1_ordinal1(U_4109)
| U_4107 != k1_ordinal2(U_4106)
| ~ v1_ordinal2(U_4106)
| ~ v5_ordinal1(U_4106)
| ~ v1_funct_1(U_4106)
| ~ v1_relat_1(U_4106) ) )
& ( ? [U_4103] :
( ! [U_4102] :
( k1_funct_1(U_4103,U_4102) = k3_tarski(k8_ordinal2(k2_ordinal1(U_4103,U_4102)))
| U_4102 = k1_xboole_0
| ~ v4_ordinal1(U_4102)
| ~ r2_hidden(U_4102,k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4102) )
& ! [U_4101] :
( k1_funct_1(U_4103,k1_ordinal1(U_4101)) = k14_ordinal2(k1_funct_1(U_4103,U_4101),U_4108)
| ~ r2_hidden(k1_ordinal1(U_4101),k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4101) )
& k1_funct_1(U_4103,k1_xboole_0) = k1_xboole_0
& k1_relat_1(U_4103) = k1_ordinal1(U_4109)
& U_4107 = k1_ordinal2(U_4103)
& v1_ordinal2(U_4103)
& v5_ordinal1(U_4103)
& v1_funct_1(U_4103)
& v1_relat_1(U_4103) )
| U_4107 != k15_ordinal2(U_4109,U_4108) ) )
| ~ v3_ordinal1(U_4107) )
| ~ v3_ordinal1(U_4108) )
| ~ v3_ordinal1(U_4109) ),
inference(variable_rename,[status(thm)],[f_1463_1]) ).
fof(f_1463_3,plain,
! [U_4109] :
( ! [U_4108] :
( ! [U_4107] :
( ( ( U_4107 = k15_ordinal2(U_4109,U_4108)
| ! [U_4106] :
( ? [U_4105] :
( k1_funct_1(U_4106,U_4105) != k3_tarski(k8_ordinal2(k2_ordinal1(U_4106,U_4105)))
& U_4105 != k1_xboole_0
& v4_ordinal1(U_4105)
& r2_hidden(U_4105,k1_ordinal1(U_4109))
& v3_ordinal1(U_4105) )
| ? [U_4104] :
( k1_funct_1(U_4106,k1_ordinal1(U_4104)) != k14_ordinal2(k1_funct_1(U_4106,U_4104),U_4108)
& r2_hidden(k1_ordinal1(U_4104),k1_ordinal1(U_4109))
& v3_ordinal1(U_4104) )
| k1_funct_1(U_4106,k1_xboole_0) != k1_xboole_0
| k1_relat_1(U_4106) != k1_ordinal1(U_4109)
| U_4107 != k1_ordinal2(U_4106)
| ~ v1_ordinal2(U_4106)
| ~ v5_ordinal1(U_4106)
| ~ v1_funct_1(U_4106)
| ~ v1_relat_1(U_4106) ) )
& ( ( ! [U_4102] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4102) = k3_tarski(k8_ordinal2(k2_ordinal1(sK408(U_4109,U_4108,U_4107),U_4102)))
| U_4102 = k1_xboole_0
| ~ v4_ordinal1(U_4102)
| ~ r2_hidden(U_4102,k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4102) )
& ! [U_4101] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_ordinal1(U_4101)) = k14_ordinal2(k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4101),U_4108)
| ~ r2_hidden(k1_ordinal1(U_4101),k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4101) )
& k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_xboole_0) = k1_xboole_0
& k1_relat_1(sK408(U_4109,U_4108,U_4107)) = k1_ordinal1(U_4109)
& U_4107 = k1_ordinal2(sK408(U_4109,U_4108,U_4107))
& v1_ordinal2(sK408(U_4109,U_4108,U_4107))
& v5_ordinal1(sK408(U_4109,U_4108,U_4107))
& v1_funct_1(sK408(U_4109,U_4108,U_4107))
& v1_relat_1(sK408(U_4109,U_4108,U_4107)) )
| U_4107 != k15_ordinal2(U_4109,U_4108) ) )
| ~ v3_ordinal1(U_4107) )
| ~ v3_ordinal1(U_4108) )
| ~ v3_ordinal1(U_4109) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK408]),skolemize(U_4103,sK408(U_4109,U_4108,U_4107))],[f_1463_2]) ).
fof(f_1463_4,plain,
! [U_4109] :
( ! [U_4108] :
( ! [U_4107] :
( ( ( U_4107 = k15_ordinal2(U_4109,U_4108)
| ! [U_4106] :
( ? [U_4105] :
( k1_funct_1(U_4106,U_4105) != k3_tarski(k8_ordinal2(k2_ordinal1(U_4106,U_4105)))
& U_4105 != k1_xboole_0
& v4_ordinal1(U_4105)
& r2_hidden(U_4105,k1_ordinal1(U_4109))
& v3_ordinal1(U_4105) )
| ( k1_funct_1(U_4106,k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106))) != k14_ordinal2(k1_funct_1(U_4106,sK409(U_4109,U_4108,U_4107,U_4106)),U_4108)
& r2_hidden(k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106)),k1_ordinal1(U_4109))
& v3_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106)) )
| k1_funct_1(U_4106,k1_xboole_0) != k1_xboole_0
| k1_relat_1(U_4106) != k1_ordinal1(U_4109)
| U_4107 != k1_ordinal2(U_4106)
| ~ v1_ordinal2(U_4106)
| ~ v5_ordinal1(U_4106)
| ~ v1_funct_1(U_4106)
| ~ v1_relat_1(U_4106) ) )
& ( ( ! [U_4102] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4102) = k3_tarski(k8_ordinal2(k2_ordinal1(sK408(U_4109,U_4108,U_4107),U_4102)))
| U_4102 = k1_xboole_0
| ~ v4_ordinal1(U_4102)
| ~ r2_hidden(U_4102,k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4102) )
& ! [U_4101] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_ordinal1(U_4101)) = k14_ordinal2(k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4101),U_4108)
| ~ r2_hidden(k1_ordinal1(U_4101),k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4101) )
& k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_xboole_0) = k1_xboole_0
& k1_relat_1(sK408(U_4109,U_4108,U_4107)) = k1_ordinal1(U_4109)
& U_4107 = k1_ordinal2(sK408(U_4109,U_4108,U_4107))
& v1_ordinal2(sK408(U_4109,U_4108,U_4107))
& v5_ordinal1(sK408(U_4109,U_4108,U_4107))
& v1_funct_1(sK408(U_4109,U_4108,U_4107))
& v1_relat_1(sK408(U_4109,U_4108,U_4107)) )
| U_4107 != k15_ordinal2(U_4109,U_4108) ) )
| ~ v3_ordinal1(U_4107) )
| ~ v3_ordinal1(U_4108) )
| ~ v3_ordinal1(U_4109) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK409]),skolemize(U_4104,sK409(U_4109,U_4108,U_4107,U_4106))],[f_1463_3]) ).
fof(f_1463_5,plain,
! [U_4109] :
( ! [U_4108] :
( ! [U_4107] :
( ( ( U_4107 = k15_ordinal2(U_4109,U_4108)
| ! [U_4106] :
( ( k1_funct_1(U_4106,sK410(U_4109,U_4108,U_4107,U_4106)) != k3_tarski(k8_ordinal2(k2_ordinal1(U_4106,sK410(U_4109,U_4108,U_4107,U_4106))))
& sK410(U_4109,U_4108,U_4107,U_4106) != k1_xboole_0
& v4_ordinal1(sK410(U_4109,U_4108,U_4107,U_4106))
& r2_hidden(sK410(U_4109,U_4108,U_4107,U_4106),k1_ordinal1(U_4109))
& v3_ordinal1(sK410(U_4109,U_4108,U_4107,U_4106)) )
| ( k1_funct_1(U_4106,k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106))) != k14_ordinal2(k1_funct_1(U_4106,sK409(U_4109,U_4108,U_4107,U_4106)),U_4108)
& r2_hidden(k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106)),k1_ordinal1(U_4109))
& v3_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106)) )
| k1_funct_1(U_4106,k1_xboole_0) != k1_xboole_0
| k1_relat_1(U_4106) != k1_ordinal1(U_4109)
| U_4107 != k1_ordinal2(U_4106)
| ~ v1_ordinal2(U_4106)
| ~ v5_ordinal1(U_4106)
| ~ v1_funct_1(U_4106)
| ~ v1_relat_1(U_4106) ) )
& ( ( ! [U_4102] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4102) = k3_tarski(k8_ordinal2(k2_ordinal1(sK408(U_4109,U_4108,U_4107),U_4102)))
| U_4102 = k1_xboole_0
| ~ v4_ordinal1(U_4102)
| ~ r2_hidden(U_4102,k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4102) )
& ! [U_4101] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_ordinal1(U_4101)) = k14_ordinal2(k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4101),U_4108)
| ~ r2_hidden(k1_ordinal1(U_4101),k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4101) )
& k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_xboole_0) = k1_xboole_0
& k1_relat_1(sK408(U_4109,U_4108,U_4107)) = k1_ordinal1(U_4109)
& U_4107 = k1_ordinal2(sK408(U_4109,U_4108,U_4107))
& v1_ordinal2(sK408(U_4109,U_4108,U_4107))
& v5_ordinal1(sK408(U_4109,U_4108,U_4107))
& v1_funct_1(sK408(U_4109,U_4108,U_4107))
& v1_relat_1(sK408(U_4109,U_4108,U_4107)) )
| U_4107 != k15_ordinal2(U_4109,U_4108) ) )
| ~ v3_ordinal1(U_4107) )
| ~ v3_ordinal1(U_4108) )
| ~ v3_ordinal1(U_4109) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK410]),skolemize(U_4105,sK410(U_4109,U_4108,U_4107,U_4106))],[f_1463_4]) ).
fof(f_1463_6,plain,
( ! [U_4106,U_4107,U_4109,U_4108] :
( k1_funct_1(U_4106,sK410(U_4109,U_4108,U_4107,U_4106)) != k3_tarski(k8_ordinal2(k2_ordinal1(U_4106,sK410(U_4109,U_4108,U_4107,U_4106))))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( sK410(U_4109,U_4108,U_4107,U_4106) != k1_xboole_0
| ~ sP622(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( v4_ordinal1(sK410(U_4109,U_4108,U_4107,U_4106))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( r2_hidden(sK410(U_4109,U_4108,U_4107,U_4106),k1_ordinal1(U_4109))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( v3_ordinal1(sK410(U_4109,U_4108,U_4107,U_4106))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( k1_funct_1(U_4106,k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106))) != k14_ordinal2(k1_funct_1(U_4106,sK409(U_4109,U_4108,U_4107,U_4106)),U_4108)
| ~ sP621(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( r2_hidden(k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106)),k1_ordinal1(U_4109))
| ~ sP621(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4106,U_4107,U_4109,U_4108] :
( v3_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106))
| ~ sP621(U_4106,U_4107,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4102) = k3_tarski(k8_ordinal2(k2_ordinal1(sK408(U_4109,U_4108,U_4107),U_4102)))
| U_4102 = k1_xboole_0
| ~ v4_ordinal1(U_4102)
| ~ r2_hidden(U_4102,k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4102)
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_ordinal1(U_4101)) = k14_ordinal2(k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4101),U_4108)
| ~ r2_hidden(k1_ordinal1(U_4101),k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4101)
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_xboole_0) = k1_xboole_0
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( k1_relat_1(sK408(U_4109,U_4108,U_4107)) = k1_ordinal1(U_4109)
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( U_4107 = k1_ordinal2(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( v1_ordinal2(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( v5_ordinal1(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( v1_funct_1(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4107,U_4101,U_4109,U_4108] :
( v1_relat_1(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4106,U_4107,U_4101,U_4109,U_4108] :
( U_4107 = k15_ordinal2(U_4109,U_4108)
| sP622(U_4106,U_4107,U_4109,U_4108)
| sP621(U_4106,U_4107,U_4109,U_4108)
| k1_funct_1(U_4106,k1_xboole_0) != k1_xboole_0
| k1_relat_1(U_4106) != k1_ordinal1(U_4109)
| U_4107 != k1_ordinal2(U_4106)
| ~ v1_ordinal2(U_4106)
| ~ v5_ordinal1(U_4106)
| ~ v1_funct_1(U_4106)
| ~ v1_relat_1(U_4106)
| ~ sP623(U_4102,U_4106,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4106,U_4107,U_4101,U_4109,U_4108] :
( sP620(U_4102,U_4107,U_4101,U_4109,U_4108)
| U_4107 != k15_ordinal2(U_4109,U_4108)
| ~ sP623(U_4102,U_4106,U_4107,U_4101,U_4109,U_4108) )
& ! [U_4102,U_4106,U_4107,U_4101,U_4109,U_4108] :
( sP623(U_4102,U_4106,U_4107,U_4101,U_4109,U_4108)
| ~ v3_ordinal1(U_4107)
| ~ v3_ordinal1(U_4108)
| ~ v3_ordinal1(U_4109) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP620,sP621,sP622,sP623])],[f_1463_5]) ).
cnf(f_1463_7,plain,
( sP623(U_4102,U_4106,U_4107,U_4101,U_4109,U_4108)
| ~ v3_ordinal1(U_4107)
| ~ v3_ordinal1(U_4108)
| ~ v3_ordinal1(U_4109) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_8,plain,
( sP620(U_4102,U_4107,U_4101,U_4109,U_4108)
| U_4107 != k15_ordinal2(U_4109,U_4108)
| ~ sP623(U_4102,U_4106,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_9,plain,
( U_4107 = k15_ordinal2(U_4109,U_4108)
| sP622(U_4106,U_4107,U_4109,U_4108)
| sP621(U_4106,U_4107,U_4109,U_4108)
| k1_funct_1(U_4106,k1_xboole_0) != k1_xboole_0
| k1_relat_1(U_4106) != k1_ordinal1(U_4109)
| U_4107 != k1_ordinal2(U_4106)
| ~ v1_ordinal2(U_4106)
| ~ v5_ordinal1(U_4106)
| ~ v1_funct_1(U_4106)
| ~ v1_relat_1(U_4106)
| ~ sP623(U_4102,U_4106,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_10,plain,
( v1_relat_1(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_11,plain,
( v1_funct_1(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_12,plain,
( v5_ordinal1(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_13,plain,
( v1_ordinal2(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_14,plain,
( U_4107 = k1_ordinal2(sK408(U_4109,U_4108,U_4107))
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_15,plain,
( k1_relat_1(sK408(U_4109,U_4108,U_4107)) = k1_ordinal1(U_4109)
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_16,plain,
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_xboole_0) = k1_xboole_0
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_17,plain,
( k1_funct_1(sK408(U_4109,U_4108,U_4107),k1_ordinal1(U_4101)) = k14_ordinal2(k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4101),U_4108)
| ~ r2_hidden(k1_ordinal1(U_4101),k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4101)
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_18,plain,
( k1_funct_1(sK408(U_4109,U_4108,U_4107),U_4102) = k3_tarski(k8_ordinal2(k2_ordinal1(sK408(U_4109,U_4108,U_4107),U_4102)))
| U_4102 = k1_xboole_0
| ~ v4_ordinal1(U_4102)
| ~ r2_hidden(U_4102,k1_ordinal1(U_4109))
| ~ v3_ordinal1(U_4102)
| ~ sP620(U_4102,U_4107,U_4101,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_19,plain,
( v3_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106))
| ~ sP621(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_20,plain,
( r2_hidden(k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106)),k1_ordinal1(U_4109))
| ~ sP621(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_21,plain,
( k1_funct_1(U_4106,k1_ordinal1(sK409(U_4109,U_4108,U_4107,U_4106))) != k14_ordinal2(k1_funct_1(U_4106,sK409(U_4109,U_4108,U_4107,U_4106)),U_4108)
| ~ sP621(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_22,plain,
( v3_ordinal1(sK410(U_4109,U_4108,U_4107,U_4106))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_23,plain,
( r2_hidden(sK410(U_4109,U_4108,U_4107,U_4106),k1_ordinal1(U_4109))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_24,plain,
( v4_ordinal1(sK410(U_4109,U_4108,U_4107,U_4106))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_25,plain,
( sK410(U_4109,U_4108,U_4107,U_4106) != k1_xboole_0
| ~ sP622(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
cnf(f_1463_26,plain,
( k1_funct_1(U_4106,sK410(U_4109,U_4108,U_4107,U_4106)) != k3_tarski(k8_ordinal2(k2_ordinal1(U_4106,sK410(U_4109,U_4108,U_4107,U_4106))))
| ~ sP622(U_4106,U_4107,U_4109,U_4108) ),
inference(clausify,[status(thm)],[f_1463_6]) ).
fof(f_1464_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k16_ordinal2(A,B)
| ! [D] :
( ? [E] :
( k1_funct_1(D,E) != k12_ordinal2(k2_ordinal1(D,E))
& E != k1_xboole_0
& v4_ordinal1(E)
& r2_hidden(E,k1_ordinal1(B))
& v3_ordinal1(E) )
| ? [E] :
( k1_funct_1(D,k1_ordinal1(E)) != k15_ordinal2(A,k1_funct_1(D,E))
& r2_hidden(k1_ordinal1(E),k1_ordinal1(B))
& v3_ordinal1(E) )
| k1_funct_1(D,k1_xboole_0) != k4_ordinal2
| k1_relat_1(D) != k1_ordinal1(B)
| C != k1_ordinal2(D)
| ~ v1_ordinal2(D)
| ~ v5_ordinal1(D)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) ) )
& ( ? [D] :
( ! [E] :
( k1_funct_1(D,E) = k12_ordinal2(k2_ordinal1(D,E))
| E = k1_xboole_0
| ~ v4_ordinal1(E)
| ~ r2_hidden(E,k1_ordinal1(B))
| ~ v3_ordinal1(E) )
& ! [E] :
( k1_funct_1(D,k1_ordinal1(E)) = k15_ordinal2(A,k1_funct_1(D,E))
| ~ r2_hidden(k1_ordinal1(E),k1_ordinal1(B))
| ~ v3_ordinal1(E) )
& k1_funct_1(D,k1_xboole_0) = k4_ordinal2
& k1_relat_1(D) = k1_ordinal1(B)
& C = k1_ordinal2(D)
& v1_ordinal2(D)
& v5_ordinal1(D)
& v1_funct_1(D)
& v1_relat_1(D) )
| C != k16_ordinal2(A,B) ) )
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[d20_ordinal2]) ).
fof(f_1464_2,plain,
! [U_4118] :
( ! [U_4117] :
( ! [U_4116] :
( ( ( U_4116 = k16_ordinal2(U_4118,U_4117)
| ! [U_4115] :
( ? [U_4114] :
( k1_funct_1(U_4115,U_4114) != k12_ordinal2(k2_ordinal1(U_4115,U_4114))
& U_4114 != k1_xboole_0
& v4_ordinal1(U_4114)
& r2_hidden(U_4114,k1_ordinal1(U_4117))
& v3_ordinal1(U_4114) )
| ? [U_4113] :
( k1_funct_1(U_4115,k1_ordinal1(U_4113)) != k15_ordinal2(U_4118,k1_funct_1(U_4115,U_4113))
& r2_hidden(k1_ordinal1(U_4113),k1_ordinal1(U_4117))
& v3_ordinal1(U_4113) )
| k1_funct_1(U_4115,k1_xboole_0) != k4_ordinal2
| k1_relat_1(U_4115) != k1_ordinal1(U_4117)
| U_4116 != k1_ordinal2(U_4115)
| ~ v1_ordinal2(U_4115)
| ~ v5_ordinal1(U_4115)
| ~ v1_funct_1(U_4115)
| ~ v1_relat_1(U_4115) ) )
& ( ? [U_4112] :
( ! [U_4111] :
( k1_funct_1(U_4112,U_4111) = k12_ordinal2(k2_ordinal1(U_4112,U_4111))
| U_4111 = k1_xboole_0
| ~ v4_ordinal1(U_4111)
| ~ r2_hidden(U_4111,k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4111) )
& ! [U_4110] :
( k1_funct_1(U_4112,k1_ordinal1(U_4110)) = k15_ordinal2(U_4118,k1_funct_1(U_4112,U_4110))
| ~ r2_hidden(k1_ordinal1(U_4110),k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4110) )
& k1_funct_1(U_4112,k1_xboole_0) = k4_ordinal2
& k1_relat_1(U_4112) = k1_ordinal1(U_4117)
& U_4116 = k1_ordinal2(U_4112)
& v1_ordinal2(U_4112)
& v5_ordinal1(U_4112)
& v1_funct_1(U_4112)
& v1_relat_1(U_4112) )
| U_4116 != k16_ordinal2(U_4118,U_4117) ) )
| ~ v3_ordinal1(U_4116) )
| ~ v3_ordinal1(U_4117) )
| ~ v3_ordinal1(U_4118) ),
inference(variable_rename,[status(thm)],[f_1464_1]) ).
fof(f_1464_3,plain,
! [U_4118] :
( ! [U_4117] :
( ! [U_4116] :
( ( ( U_4116 = k16_ordinal2(U_4118,U_4117)
| ! [U_4115] :
( ? [U_4114] :
( k1_funct_1(U_4115,U_4114) != k12_ordinal2(k2_ordinal1(U_4115,U_4114))
& U_4114 != k1_xboole_0
& v4_ordinal1(U_4114)
& r2_hidden(U_4114,k1_ordinal1(U_4117))
& v3_ordinal1(U_4114) )
| ? [U_4113] :
( k1_funct_1(U_4115,k1_ordinal1(U_4113)) != k15_ordinal2(U_4118,k1_funct_1(U_4115,U_4113))
& r2_hidden(k1_ordinal1(U_4113),k1_ordinal1(U_4117))
& v3_ordinal1(U_4113) )
| k1_funct_1(U_4115,k1_xboole_0) != k4_ordinal2
| k1_relat_1(U_4115) != k1_ordinal1(U_4117)
| U_4116 != k1_ordinal2(U_4115)
| ~ v1_ordinal2(U_4115)
| ~ v5_ordinal1(U_4115)
| ~ v1_funct_1(U_4115)
| ~ v1_relat_1(U_4115) ) )
& ( ( ! [U_4111] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4111) = k12_ordinal2(k2_ordinal1(sK411(U_4118,U_4117,U_4116),U_4111))
| U_4111 = k1_xboole_0
| ~ v4_ordinal1(U_4111)
| ~ r2_hidden(U_4111,k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4111) )
& ! [U_4110] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_ordinal1(U_4110)) = k15_ordinal2(U_4118,k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4110))
| ~ r2_hidden(k1_ordinal1(U_4110),k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4110) )
& k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_xboole_0) = k4_ordinal2
& k1_relat_1(sK411(U_4118,U_4117,U_4116)) = k1_ordinal1(U_4117)
& U_4116 = k1_ordinal2(sK411(U_4118,U_4117,U_4116))
& v1_ordinal2(sK411(U_4118,U_4117,U_4116))
& v5_ordinal1(sK411(U_4118,U_4117,U_4116))
& v1_funct_1(sK411(U_4118,U_4117,U_4116))
& v1_relat_1(sK411(U_4118,U_4117,U_4116)) )
| U_4116 != k16_ordinal2(U_4118,U_4117) ) )
| ~ v3_ordinal1(U_4116) )
| ~ v3_ordinal1(U_4117) )
| ~ v3_ordinal1(U_4118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK411]),skolemize(U_4112,sK411(U_4118,U_4117,U_4116))],[f_1464_2]) ).
fof(f_1464_4,plain,
! [U_4118] :
( ! [U_4117] :
( ! [U_4116] :
( ( ( U_4116 = k16_ordinal2(U_4118,U_4117)
| ! [U_4115] :
( ? [U_4114] :
( k1_funct_1(U_4115,U_4114) != k12_ordinal2(k2_ordinal1(U_4115,U_4114))
& U_4114 != k1_xboole_0
& v4_ordinal1(U_4114)
& r2_hidden(U_4114,k1_ordinal1(U_4117))
& v3_ordinal1(U_4114) )
| ( k1_funct_1(U_4115,k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115))) != k15_ordinal2(U_4118,k1_funct_1(U_4115,sK412(U_4118,U_4117,U_4116,U_4115)))
& r2_hidden(k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115)),k1_ordinal1(U_4117))
& v3_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115)) )
| k1_funct_1(U_4115,k1_xboole_0) != k4_ordinal2
| k1_relat_1(U_4115) != k1_ordinal1(U_4117)
| U_4116 != k1_ordinal2(U_4115)
| ~ v1_ordinal2(U_4115)
| ~ v5_ordinal1(U_4115)
| ~ v1_funct_1(U_4115)
| ~ v1_relat_1(U_4115) ) )
& ( ( ! [U_4111] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4111) = k12_ordinal2(k2_ordinal1(sK411(U_4118,U_4117,U_4116),U_4111))
| U_4111 = k1_xboole_0
| ~ v4_ordinal1(U_4111)
| ~ r2_hidden(U_4111,k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4111) )
& ! [U_4110] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_ordinal1(U_4110)) = k15_ordinal2(U_4118,k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4110))
| ~ r2_hidden(k1_ordinal1(U_4110),k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4110) )
& k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_xboole_0) = k4_ordinal2
& k1_relat_1(sK411(U_4118,U_4117,U_4116)) = k1_ordinal1(U_4117)
& U_4116 = k1_ordinal2(sK411(U_4118,U_4117,U_4116))
& v1_ordinal2(sK411(U_4118,U_4117,U_4116))
& v5_ordinal1(sK411(U_4118,U_4117,U_4116))
& v1_funct_1(sK411(U_4118,U_4117,U_4116))
& v1_relat_1(sK411(U_4118,U_4117,U_4116)) )
| U_4116 != k16_ordinal2(U_4118,U_4117) ) )
| ~ v3_ordinal1(U_4116) )
| ~ v3_ordinal1(U_4117) )
| ~ v3_ordinal1(U_4118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK412]),skolemize(U_4113,sK412(U_4118,U_4117,U_4116,U_4115))],[f_1464_3]) ).
fof(f_1464_5,plain,
! [U_4118] :
( ! [U_4117] :
( ! [U_4116] :
( ( ( U_4116 = k16_ordinal2(U_4118,U_4117)
| ! [U_4115] :
( ( k1_funct_1(U_4115,sK413(U_4118,U_4117,U_4116,U_4115)) != k12_ordinal2(k2_ordinal1(U_4115,sK413(U_4118,U_4117,U_4116,U_4115)))
& sK413(U_4118,U_4117,U_4116,U_4115) != k1_xboole_0
& v4_ordinal1(sK413(U_4118,U_4117,U_4116,U_4115))
& r2_hidden(sK413(U_4118,U_4117,U_4116,U_4115),k1_ordinal1(U_4117))
& v3_ordinal1(sK413(U_4118,U_4117,U_4116,U_4115)) )
| ( k1_funct_1(U_4115,k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115))) != k15_ordinal2(U_4118,k1_funct_1(U_4115,sK412(U_4118,U_4117,U_4116,U_4115)))
& r2_hidden(k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115)),k1_ordinal1(U_4117))
& v3_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115)) )
| k1_funct_1(U_4115,k1_xboole_0) != k4_ordinal2
| k1_relat_1(U_4115) != k1_ordinal1(U_4117)
| U_4116 != k1_ordinal2(U_4115)
| ~ v1_ordinal2(U_4115)
| ~ v5_ordinal1(U_4115)
| ~ v1_funct_1(U_4115)
| ~ v1_relat_1(U_4115) ) )
& ( ( ! [U_4111] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4111) = k12_ordinal2(k2_ordinal1(sK411(U_4118,U_4117,U_4116),U_4111))
| U_4111 = k1_xboole_0
| ~ v4_ordinal1(U_4111)
| ~ r2_hidden(U_4111,k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4111) )
& ! [U_4110] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_ordinal1(U_4110)) = k15_ordinal2(U_4118,k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4110))
| ~ r2_hidden(k1_ordinal1(U_4110),k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4110) )
& k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_xboole_0) = k4_ordinal2
& k1_relat_1(sK411(U_4118,U_4117,U_4116)) = k1_ordinal1(U_4117)
& U_4116 = k1_ordinal2(sK411(U_4118,U_4117,U_4116))
& v1_ordinal2(sK411(U_4118,U_4117,U_4116))
& v5_ordinal1(sK411(U_4118,U_4117,U_4116))
& v1_funct_1(sK411(U_4118,U_4117,U_4116))
& v1_relat_1(sK411(U_4118,U_4117,U_4116)) )
| U_4116 != k16_ordinal2(U_4118,U_4117) ) )
| ~ v3_ordinal1(U_4116) )
| ~ v3_ordinal1(U_4117) )
| ~ v3_ordinal1(U_4118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK413]),skolemize(U_4114,sK413(U_4118,U_4117,U_4116,U_4115))],[f_1464_4]) ).
fof(f_1464_6,plain,
( ! [U_4117,U_4118,U_4115,U_4116] :
( k1_funct_1(U_4115,sK413(U_4118,U_4117,U_4116,U_4115)) != k12_ordinal2(k2_ordinal1(U_4115,sK413(U_4118,U_4117,U_4116,U_4115)))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( sK413(U_4118,U_4117,U_4116,U_4115) != k1_xboole_0
| ~ sP626(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( v4_ordinal1(sK413(U_4118,U_4117,U_4116,U_4115))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( r2_hidden(sK413(U_4118,U_4117,U_4116,U_4115),k1_ordinal1(U_4117))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( v3_ordinal1(sK413(U_4118,U_4117,U_4116,U_4115))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( k1_funct_1(U_4115,k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115))) != k15_ordinal2(U_4118,k1_funct_1(U_4115,sK412(U_4118,U_4117,U_4116,U_4115)))
| ~ sP625(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( r2_hidden(k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115)),k1_ordinal1(U_4117))
| ~ sP625(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4116] :
( v3_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115))
| ~ sP625(U_4117,U_4118,U_4115,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4111) = k12_ordinal2(k2_ordinal1(sK411(U_4118,U_4117,U_4116),U_4111))
| U_4111 = k1_xboole_0
| ~ v4_ordinal1(U_4111)
| ~ r2_hidden(U_4111,k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4111)
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_ordinal1(U_4110)) = k15_ordinal2(U_4118,k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4110))
| ~ r2_hidden(k1_ordinal1(U_4110),k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4110)
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_xboole_0) = k4_ordinal2
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( k1_relat_1(sK411(U_4118,U_4117,U_4116)) = k1_ordinal1(U_4117)
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( U_4116 = k1_ordinal2(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( v1_ordinal2(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( v5_ordinal1(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( v1_funct_1(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4110,U_4111,U_4116] :
( v1_relat_1(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4110,U_4111,U_4116] :
( U_4116 = k16_ordinal2(U_4118,U_4117)
| sP626(U_4117,U_4118,U_4115,U_4116)
| sP625(U_4117,U_4118,U_4115,U_4116)
| k1_funct_1(U_4115,k1_xboole_0) != k4_ordinal2
| k1_relat_1(U_4115) != k1_ordinal1(U_4117)
| U_4116 != k1_ordinal2(U_4115)
| ~ v1_ordinal2(U_4115)
| ~ v5_ordinal1(U_4115)
| ~ v1_funct_1(U_4115)
| ~ v1_relat_1(U_4115)
| ~ sP627(U_4117,U_4118,U_4115,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4110,U_4111,U_4116] :
( sP624(U_4117,U_4118,U_4110,U_4111,U_4116)
| U_4116 != k16_ordinal2(U_4118,U_4117)
| ~ sP627(U_4117,U_4118,U_4115,U_4110,U_4111,U_4116) )
& ! [U_4117,U_4118,U_4115,U_4110,U_4111,U_4116] :
( sP627(U_4117,U_4118,U_4115,U_4110,U_4111,U_4116)
| ~ v3_ordinal1(U_4116)
| ~ v3_ordinal1(U_4117)
| ~ v3_ordinal1(U_4118) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP624,sP625,sP626,sP627])],[f_1464_5]) ).
cnf(f_1464_7,plain,
( sP627(U_4117,U_4118,U_4115,U_4110,U_4111,U_4116)
| ~ v3_ordinal1(U_4116)
| ~ v3_ordinal1(U_4117)
| ~ v3_ordinal1(U_4118) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_8,plain,
( sP624(U_4117,U_4118,U_4110,U_4111,U_4116)
| U_4116 != k16_ordinal2(U_4118,U_4117)
| ~ sP627(U_4117,U_4118,U_4115,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_9,plain,
( U_4116 = k16_ordinal2(U_4118,U_4117)
| sP626(U_4117,U_4118,U_4115,U_4116)
| sP625(U_4117,U_4118,U_4115,U_4116)
| k1_funct_1(U_4115,k1_xboole_0) != k4_ordinal2
| k1_relat_1(U_4115) != k1_ordinal1(U_4117)
| U_4116 != k1_ordinal2(U_4115)
| ~ v1_ordinal2(U_4115)
| ~ v5_ordinal1(U_4115)
| ~ v1_funct_1(U_4115)
| ~ v1_relat_1(U_4115)
| ~ sP627(U_4117,U_4118,U_4115,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_10,plain,
( v1_relat_1(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_11,plain,
( v1_funct_1(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_12,plain,
( v5_ordinal1(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_13,plain,
( v1_ordinal2(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_14,plain,
( U_4116 = k1_ordinal2(sK411(U_4118,U_4117,U_4116))
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_15,plain,
( k1_relat_1(sK411(U_4118,U_4117,U_4116)) = k1_ordinal1(U_4117)
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_16,plain,
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_xboole_0) = k4_ordinal2
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_17,plain,
( k1_funct_1(sK411(U_4118,U_4117,U_4116),k1_ordinal1(U_4110)) = k15_ordinal2(U_4118,k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4110))
| ~ r2_hidden(k1_ordinal1(U_4110),k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4110)
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_18,plain,
( k1_funct_1(sK411(U_4118,U_4117,U_4116),U_4111) = k12_ordinal2(k2_ordinal1(sK411(U_4118,U_4117,U_4116),U_4111))
| U_4111 = k1_xboole_0
| ~ v4_ordinal1(U_4111)
| ~ r2_hidden(U_4111,k1_ordinal1(U_4117))
| ~ v3_ordinal1(U_4111)
| ~ sP624(U_4117,U_4118,U_4110,U_4111,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_19,plain,
( v3_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115))
| ~ sP625(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_20,plain,
( r2_hidden(k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115)),k1_ordinal1(U_4117))
| ~ sP625(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_21,plain,
( k1_funct_1(U_4115,k1_ordinal1(sK412(U_4118,U_4117,U_4116,U_4115))) != k15_ordinal2(U_4118,k1_funct_1(U_4115,sK412(U_4118,U_4117,U_4116,U_4115)))
| ~ sP625(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_22,plain,
( v3_ordinal1(sK413(U_4118,U_4117,U_4116,U_4115))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_23,plain,
( r2_hidden(sK413(U_4118,U_4117,U_4116,U_4115),k1_ordinal1(U_4117))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_24,plain,
( v4_ordinal1(sK413(U_4118,U_4117,U_4116,U_4115))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_25,plain,
( sK413(U_4118,U_4117,U_4116,U_4115) != k1_xboole_0
| ~ sP626(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
cnf(f_1464_26,plain,
( k1_funct_1(U_4115,sK413(U_4118,U_4117,U_4116,U_4115)) != k12_ordinal2(k2_ordinal1(U_4115,sK413(U_4118,U_4117,U_4116,U_4115)))
| ~ sP626(U_4117,U_4118,U_4115,U_4116) ),
inference(clausify,[status(thm)],[f_1464_6]) ).
fof(f_1465_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_ordinal2]) ).
fof(f_1465_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1465_1]) ).
cnf(f_1465_3,plain,
$true,
inference(clausify,[status(thm)],[f_1465_2]) ).
fof(f_1466_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_ordinal2]) ).
fof(f_1466_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1466_1]) ).
cnf(f_1466_3,plain,
$true,
inference(clausify,[status(thm)],[f_1466_2]) ).
fof(f_1467_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t38_ordinal2]) ).
fof(f_1467_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1467_1]) ).
cnf(f_1467_3,plain,
$true,
inference(clausify,[status(thm)],[f_1467_2]) ).
fof(f_1468_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_ordinal2]) ).
fof(f_1468_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1468_1]) ).
cnf(f_1468_3,plain,
$true,
inference(clausify,[status(thm)],[f_1468_2]) ).
fof(f_1469_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t40_ordinal2]) ).
fof(f_1469_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1469_1]) ).
cnf(f_1469_3,plain,
$true,
inference(clausify,[status(thm)],[f_1469_2]) ).
fof(f_1470_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t41_ordinal2]) ).
fof(f_1470_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1470_1]) ).
cnf(f_1470_3,plain,
$true,
inference(clausify,[status(thm)],[f_1470_2]) ).
fof(f_1471_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t42_ordinal2]) ).
fof(f_1471_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1471_1]) ).
cnf(f_1471_3,plain,
$true,
inference(clausify,[status(thm)],[f_1471_2]) ).
fof(f_1472_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t43_ordinal2]) ).
fof(f_1472_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1472_1]) ).
cnf(f_1472_3,plain,
$true,
inference(clausify,[status(thm)],[f_1472_2]) ).
fof(f_1473_1,plain,
! [A] :
( k14_ordinal2(A,k1_xboole_0) = A
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t44_ordinal2]) ).
fof(f_1473_2,plain,
! [U_4119] :
( k14_ordinal2(U_4119,k1_xboole_0) = U_4119
| ~ v3_ordinal1(U_4119) ),
inference(variable_rename,[status(thm)],[f_1473_1]) ).
fof(f_1473_3,plain,
! [U_4119] :
( k14_ordinal2(U_4119,k1_xboole_0) = U_4119
| ~ v3_ordinal1(U_4119) ),
inference(definitional_conversion,[status(esa)],[f_1473_2]) ).
cnf(f_1473_4,plain,
( k14_ordinal2(U_4119,k1_xboole_0) = U_4119
| ~ v3_ordinal1(U_4119) ),
inference(clausify,[status(thm)],[f_1473_3]) ).
fof(f_1474_1,plain,
! [A] :
( ! [B] :
( k14_ordinal2(A,k1_ordinal1(B)) = k1_ordinal1(k14_ordinal2(A,B))
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t45_ordinal2]) ).
fof(f_1474_2,plain,
! [U_4121] :
( ! [U_4120] :
( k14_ordinal2(U_4121,k1_ordinal1(U_4120)) = k1_ordinal1(k14_ordinal2(U_4121,U_4120))
| ~ v3_ordinal1(U_4120) )
| ~ v3_ordinal1(U_4121) ),
inference(variable_rename,[status(thm)],[f_1474_1]) ).
fof(f_1474_3,plain,
! [U_4120,U_4121] :
( k14_ordinal2(U_4121,k1_ordinal1(U_4120)) = k1_ordinal1(k14_ordinal2(U_4121,U_4120))
| ~ v3_ordinal1(U_4120)
| ~ v3_ordinal1(U_4121) ),
inference(definitional_conversion,[status(esa)],[f_1474_2]) ).
cnf(f_1474_4,plain,
( k14_ordinal2(U_4121,k1_ordinal1(U_4120)) = k1_ordinal1(k14_ordinal2(U_4121,U_4120))
| ~ v3_ordinal1(U_4120)
| ~ v3_ordinal1(U_4121) ),
inference(clausify,[status(thm)],[f_1474_3]) ).
fof(f_1475_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k14_ordinal2(B,A) = k8_ordinal2(C)
| ? [D] :
( k1_funct_1(C,D) != k14_ordinal2(B,D)
& r2_hidden(D,A)
& v3_ordinal1(D) )
| k1_relat_1(C) != A
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| A = k1_xboole_0
| ~ v4_ordinal1(A)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t46_ordinal2]) ).
fof(f_1475_2,plain,
! [U_4125] :
( ! [U_4124] :
( ! [U_4123] :
( k14_ordinal2(U_4124,U_4125) = k8_ordinal2(U_4123)
| ? [U_4122] :
( k1_funct_1(U_4123,U_4122) != k14_ordinal2(U_4124,U_4122)
& r2_hidden(U_4122,U_4125)
& v3_ordinal1(U_4122) )
| k1_relat_1(U_4123) != U_4125
| ~ v1_ordinal2(U_4123)
| ~ v5_ordinal1(U_4123)
| ~ v1_funct_1(U_4123)
| ~ v1_relat_1(U_4123) )
| U_4125 = k1_xboole_0
| ~ v4_ordinal1(U_4125)
| ~ v3_ordinal1(U_4124) )
| ~ v3_ordinal1(U_4125) ),
inference(variable_rename,[status(thm)],[f_1475_1]) ).
fof(f_1475_3,plain,
! [U_4125] :
( ! [U_4124] :
( ! [U_4123] :
( k14_ordinal2(U_4124,U_4125) = k8_ordinal2(U_4123)
| ( k1_funct_1(U_4123,sK414(U_4125,U_4124,U_4123)) != k14_ordinal2(U_4124,sK414(U_4125,U_4124,U_4123))
& r2_hidden(sK414(U_4125,U_4124,U_4123),U_4125)
& v3_ordinal1(sK414(U_4125,U_4124,U_4123)) )
| k1_relat_1(U_4123) != U_4125
| ~ v1_ordinal2(U_4123)
| ~ v5_ordinal1(U_4123)
| ~ v1_funct_1(U_4123)
| ~ v1_relat_1(U_4123) )
| U_4125 = k1_xboole_0
| ~ v4_ordinal1(U_4125)
| ~ v3_ordinal1(U_4124) )
| ~ v3_ordinal1(U_4125) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK414]),skolemize(U_4122,sK414(U_4125,U_4124,U_4123))],[f_1475_2]) ).
fof(f_1475_4,plain,
( ! [U_4124,U_4125,U_4123] :
( k1_funct_1(U_4123,sK414(U_4125,U_4124,U_4123)) != k14_ordinal2(U_4124,sK414(U_4125,U_4124,U_4123))
| ~ sP628(U_4124,U_4125,U_4123) )
& ! [U_4124,U_4125,U_4123] :
( r2_hidden(sK414(U_4125,U_4124,U_4123),U_4125)
| ~ sP628(U_4124,U_4125,U_4123) )
& ! [U_4124,U_4125,U_4123] :
( v3_ordinal1(sK414(U_4125,U_4124,U_4123))
| ~ sP628(U_4124,U_4125,U_4123) )
& ! [U_4124,U_4125,U_4123] :
( k14_ordinal2(U_4124,U_4125) = k8_ordinal2(U_4123)
| sP628(U_4124,U_4125,U_4123)
| k1_relat_1(U_4123) != U_4125
| ~ v1_ordinal2(U_4123)
| ~ v5_ordinal1(U_4123)
| ~ v1_funct_1(U_4123)
| ~ v1_relat_1(U_4123)
| U_4125 = k1_xboole_0
| ~ v4_ordinal1(U_4125)
| ~ v3_ordinal1(U_4124)
| ~ v3_ordinal1(U_4125) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP628])],[f_1475_3]) ).
cnf(f_1475_5,plain,
( k14_ordinal2(U_4124,U_4125) = k8_ordinal2(U_4123)
| sP628(U_4124,U_4125,U_4123)
| k1_relat_1(U_4123) != U_4125
| ~ v1_ordinal2(U_4123)
| ~ v5_ordinal1(U_4123)
| ~ v1_funct_1(U_4123)
| ~ v1_relat_1(U_4123)
| U_4125 = k1_xboole_0
| ~ v4_ordinal1(U_4125)
| ~ v3_ordinal1(U_4124)
| ~ v3_ordinal1(U_4125) ),
inference(clausify,[status(thm)],[f_1475_4]) ).
cnf(f_1475_6,plain,
( v3_ordinal1(sK414(U_4125,U_4124,U_4123))
| ~ sP628(U_4124,U_4125,U_4123) ),
inference(clausify,[status(thm)],[f_1475_4]) ).
cnf(f_1475_7,plain,
( r2_hidden(sK414(U_4125,U_4124,U_4123),U_4125)
| ~ sP628(U_4124,U_4125,U_4123) ),
inference(clausify,[status(thm)],[f_1475_4]) ).
cnf(f_1475_8,plain,
( k1_funct_1(U_4123,sK414(U_4125,U_4124,U_4123)) != k14_ordinal2(U_4124,sK414(U_4125,U_4124,U_4123))
| ~ sP628(U_4124,U_4125,U_4123) ),
inference(clausify,[status(thm)],[f_1475_4]) ).
fof(f_1476_1,plain,
! [A] :
( k14_ordinal2(k1_xboole_0,A) = A
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t47_ordinal2]) ).
fof(f_1476_2,plain,
! [U_4126] :
( k14_ordinal2(k1_xboole_0,U_4126) = U_4126
| ~ v3_ordinal1(U_4126) ),
inference(variable_rename,[status(thm)],[f_1476_1]) ).
fof(f_1476_3,plain,
! [U_4126] :
( k14_ordinal2(k1_xboole_0,U_4126) = U_4126
| ~ v3_ordinal1(U_4126) ),
inference(definitional_conversion,[status(esa)],[f_1476_2]) ).
cnf(f_1476_4,plain,
( k14_ordinal2(k1_xboole_0,U_4126) = U_4126
| ~ v3_ordinal1(U_4126) ),
inference(clausify,[status(thm)],[f_1476_3]) ).
fof(f_1477_1,plain,
! [A] :
( k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t48_ordinal2]) ).
fof(f_1477_2,plain,
! [U_4127] :
( k14_ordinal2(U_4127,k4_ordinal2) = k1_ordinal1(U_4127)
| ~ v3_ordinal1(U_4127) ),
inference(variable_rename,[status(thm)],[f_1477_1]) ).
fof(f_1477_3,plain,
! [U_4127] :
( k14_ordinal2(U_4127,k4_ordinal2) = k1_ordinal1(U_4127)
| ~ v3_ordinal1(U_4127) ),
inference(definitional_conversion,[status(esa)],[f_1477_2]) ).
cnf(f_1477_4,plain,
( k14_ordinal2(U_4127,k4_ordinal2) = k1_ordinal1(U_4127)
| ~ v3_ordinal1(U_4127) ),
inference(clausify,[status(thm)],[f_1477_3]) ).
fof(f_1478_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(k14_ordinal2(C,A),k14_ordinal2(C,B))
| ~ r2_hidden(A,B)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t49_ordinal2]) ).
fof(f_1478_2,plain,
! [U_4130] :
( ! [U_4129] :
( ! [U_4128] :
( r2_hidden(k14_ordinal2(U_4128,U_4130),k14_ordinal2(U_4128,U_4129))
| ~ r2_hidden(U_4130,U_4129)
| ~ v3_ordinal1(U_4128) )
| ~ v3_ordinal1(U_4129) )
| ~ v3_ordinal1(U_4130) ),
inference(variable_rename,[status(thm)],[f_1478_1]) ).
fof(f_1478_3,plain,
! [U_4130,U_4128,U_4129] :
( r2_hidden(k14_ordinal2(U_4128,U_4130),k14_ordinal2(U_4128,U_4129))
| ~ r2_hidden(U_4130,U_4129)
| ~ v3_ordinal1(U_4128)
| ~ v3_ordinal1(U_4129)
| ~ v3_ordinal1(U_4130) ),
inference(definitional_conversion,[status(esa)],[f_1478_2]) ).
cnf(f_1478_4,plain,
( r2_hidden(k14_ordinal2(U_4128,U_4130),k14_ordinal2(U_4128,U_4129))
| ~ r2_hidden(U_4130,U_4129)
| ~ v3_ordinal1(U_4128)
| ~ v3_ordinal1(U_4129)
| ~ v3_ordinal1(U_4130) ),
inference(clausify,[status(thm)],[f_1478_3]) ).
fof(f_1479_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_ordinal1(k14_ordinal2(C,A),k14_ordinal2(C,B))
| ~ r1_ordinal1(A,B)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t50_ordinal2]) ).
fof(f_1479_2,plain,
! [U_4133] :
( ! [U_4132] :
( ! [U_4131] :
( r1_ordinal1(k14_ordinal2(U_4131,U_4133),k14_ordinal2(U_4131,U_4132))
| ~ r1_ordinal1(U_4133,U_4132)
| ~ v3_ordinal1(U_4131) )
| ~ v3_ordinal1(U_4132) )
| ~ v3_ordinal1(U_4133) ),
inference(variable_rename,[status(thm)],[f_1479_1]) ).
fof(f_1479_3,plain,
! [U_4133,U_4131,U_4132] :
( r1_ordinal1(k14_ordinal2(U_4131,U_4133),k14_ordinal2(U_4131,U_4132))
| ~ r1_ordinal1(U_4133,U_4132)
| ~ v3_ordinal1(U_4131)
| ~ v3_ordinal1(U_4132)
| ~ v3_ordinal1(U_4133) ),
inference(definitional_conversion,[status(esa)],[f_1479_2]) ).
cnf(f_1479_4,plain,
( r1_ordinal1(k14_ordinal2(U_4131,U_4133),k14_ordinal2(U_4131,U_4132))
| ~ r1_ordinal1(U_4133,U_4132)
| ~ v3_ordinal1(U_4131)
| ~ v3_ordinal1(U_4132)
| ~ v3_ordinal1(U_4133) ),
inference(clausify,[status(thm)],[f_1479_3]) ).
fof(f_1480_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_ordinal1(k14_ordinal2(A,C),k14_ordinal2(B,C))
| ~ r1_ordinal1(A,B)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t51_ordinal2]) ).
fof(f_1480_2,plain,
! [U_4136] :
( ! [U_4135] :
( ! [U_4134] :
( r1_ordinal1(k14_ordinal2(U_4136,U_4134),k14_ordinal2(U_4135,U_4134))
| ~ r1_ordinal1(U_4136,U_4135)
| ~ v3_ordinal1(U_4134) )
| ~ v3_ordinal1(U_4135) )
| ~ v3_ordinal1(U_4136) ),
inference(variable_rename,[status(thm)],[f_1480_1]) ).
fof(f_1480_3,plain,
! [U_4136,U_4134,U_4135] :
( r1_ordinal1(k14_ordinal2(U_4136,U_4134),k14_ordinal2(U_4135,U_4134))
| ~ r1_ordinal1(U_4136,U_4135)
| ~ v3_ordinal1(U_4134)
| ~ v3_ordinal1(U_4135)
| ~ v3_ordinal1(U_4136) ),
inference(definitional_conversion,[status(esa)],[f_1480_2]) ).
cnf(f_1480_4,plain,
( r1_ordinal1(k14_ordinal2(U_4136,U_4134),k14_ordinal2(U_4135,U_4134))
| ~ r1_ordinal1(U_4136,U_4135)
| ~ v3_ordinal1(U_4134)
| ~ v3_ordinal1(U_4135)
| ~ v3_ordinal1(U_4136) ),
inference(clausify,[status(thm)],[f_1480_3]) ).
fof(f_1481_1,plain,
! [A] :
( k15_ordinal2(k1_xboole_0,A) = k1_xboole_0
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t52_ordinal2]) ).
fof(f_1481_2,plain,
! [U_4137] :
( k15_ordinal2(k1_xboole_0,U_4137) = k1_xboole_0
| ~ v3_ordinal1(U_4137) ),
inference(variable_rename,[status(thm)],[f_1481_1]) ).
fof(f_1481_3,plain,
! [U_4137] :
( k15_ordinal2(k1_xboole_0,U_4137) = k1_xboole_0
| ~ v3_ordinal1(U_4137) ),
inference(definitional_conversion,[status(esa)],[f_1481_2]) ).
cnf(f_1481_4,plain,
( k15_ordinal2(k1_xboole_0,U_4137) = k1_xboole_0
| ~ v3_ordinal1(U_4137) ),
inference(clausify,[status(thm)],[f_1481_3]) ).
fof(f_1482_1,plain,
! [A] :
( ! [B] :
( k15_ordinal2(k1_ordinal1(A),B) = k14_ordinal2(k15_ordinal2(A,B),B)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t53_ordinal2]) ).
fof(f_1482_2,plain,
! [U_4139] :
( ! [U_4138] :
( k15_ordinal2(k1_ordinal1(U_4139),U_4138) = k14_ordinal2(k15_ordinal2(U_4139,U_4138),U_4138)
| ~ v3_ordinal1(U_4138) )
| ~ v3_ordinal1(U_4139) ),
inference(variable_rename,[status(thm)],[f_1482_1]) ).
fof(f_1482_3,plain,
! [U_4138,U_4139] :
( k15_ordinal2(k1_ordinal1(U_4139),U_4138) = k14_ordinal2(k15_ordinal2(U_4139,U_4138),U_4138)
| ~ v3_ordinal1(U_4138)
| ~ v3_ordinal1(U_4139) ),
inference(definitional_conversion,[status(esa)],[f_1482_2]) ).
cnf(f_1482_4,plain,
( k15_ordinal2(k1_ordinal1(U_4139),U_4138) = k14_ordinal2(k15_ordinal2(U_4139,U_4138),U_4138)
| ~ v3_ordinal1(U_4138)
| ~ v3_ordinal1(U_4139) ),
inference(clausify,[status(thm)],[f_1482_3]) ).
fof(f_1483_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k15_ordinal2(A,B) = k3_tarski(k8_ordinal2(C))
| ? [D] :
( k1_funct_1(C,D) != k15_ordinal2(D,B)
& r2_hidden(D,A)
& v3_ordinal1(D) )
| k1_relat_1(C) != A
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| A = k1_xboole_0
| ~ v4_ordinal1(A)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t54_ordinal2]) ).
fof(f_1483_2,plain,
! [U_4143] :
( ! [U_4142] :
( ! [U_4141] :
( k15_ordinal2(U_4143,U_4142) = k3_tarski(k8_ordinal2(U_4141))
| ? [U_4140] :
( k1_funct_1(U_4141,U_4140) != k15_ordinal2(U_4140,U_4142)
& r2_hidden(U_4140,U_4143)
& v3_ordinal1(U_4140) )
| k1_relat_1(U_4141) != U_4143
| ~ v1_ordinal2(U_4141)
| ~ v5_ordinal1(U_4141)
| ~ v1_funct_1(U_4141)
| ~ v1_relat_1(U_4141) )
| U_4143 = k1_xboole_0
| ~ v4_ordinal1(U_4143)
| ~ v3_ordinal1(U_4142) )
| ~ v3_ordinal1(U_4143) ),
inference(variable_rename,[status(thm)],[f_1483_1]) ).
fof(f_1483_3,plain,
! [U_4143] :
( ! [U_4142] :
( ! [U_4141] :
( k15_ordinal2(U_4143,U_4142) = k3_tarski(k8_ordinal2(U_4141))
| ( k1_funct_1(U_4141,sK415(U_4143,U_4142,U_4141)) != k15_ordinal2(sK415(U_4143,U_4142,U_4141),U_4142)
& r2_hidden(sK415(U_4143,U_4142,U_4141),U_4143)
& v3_ordinal1(sK415(U_4143,U_4142,U_4141)) )
| k1_relat_1(U_4141) != U_4143
| ~ v1_ordinal2(U_4141)
| ~ v5_ordinal1(U_4141)
| ~ v1_funct_1(U_4141)
| ~ v1_relat_1(U_4141) )
| U_4143 = k1_xboole_0
| ~ v4_ordinal1(U_4143)
| ~ v3_ordinal1(U_4142) )
| ~ v3_ordinal1(U_4143) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK415]),skolemize(U_4140,sK415(U_4143,U_4142,U_4141))],[f_1483_2]) ).
fof(f_1483_4,plain,
( ! [U_4142,U_4143,U_4141] :
( k1_funct_1(U_4141,sK415(U_4143,U_4142,U_4141)) != k15_ordinal2(sK415(U_4143,U_4142,U_4141),U_4142)
| ~ sP629(U_4142,U_4143,U_4141) )
& ! [U_4142,U_4143,U_4141] :
( r2_hidden(sK415(U_4143,U_4142,U_4141),U_4143)
| ~ sP629(U_4142,U_4143,U_4141) )
& ! [U_4142,U_4143,U_4141] :
( v3_ordinal1(sK415(U_4143,U_4142,U_4141))
| ~ sP629(U_4142,U_4143,U_4141) )
& ! [U_4142,U_4143,U_4141] :
( k15_ordinal2(U_4143,U_4142) = k3_tarski(k8_ordinal2(U_4141))
| sP629(U_4142,U_4143,U_4141)
| k1_relat_1(U_4141) != U_4143
| ~ v1_ordinal2(U_4141)
| ~ v5_ordinal1(U_4141)
| ~ v1_funct_1(U_4141)
| ~ v1_relat_1(U_4141)
| U_4143 = k1_xboole_0
| ~ v4_ordinal1(U_4143)
| ~ v3_ordinal1(U_4142)
| ~ v3_ordinal1(U_4143) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP629])],[f_1483_3]) ).
cnf(f_1483_5,plain,
( k15_ordinal2(U_4143,U_4142) = k3_tarski(k8_ordinal2(U_4141))
| sP629(U_4142,U_4143,U_4141)
| k1_relat_1(U_4141) != U_4143
| ~ v1_ordinal2(U_4141)
| ~ v5_ordinal1(U_4141)
| ~ v1_funct_1(U_4141)
| ~ v1_relat_1(U_4141)
| U_4143 = k1_xboole_0
| ~ v4_ordinal1(U_4143)
| ~ v3_ordinal1(U_4142)
| ~ v3_ordinal1(U_4143) ),
inference(clausify,[status(thm)],[f_1483_4]) ).
cnf(f_1483_6,plain,
( v3_ordinal1(sK415(U_4143,U_4142,U_4141))
| ~ sP629(U_4142,U_4143,U_4141) ),
inference(clausify,[status(thm)],[f_1483_4]) ).
cnf(f_1483_7,plain,
( r2_hidden(sK415(U_4143,U_4142,U_4141),U_4143)
| ~ sP629(U_4142,U_4143,U_4141) ),
inference(clausify,[status(thm)],[f_1483_4]) ).
cnf(f_1483_8,plain,
( k1_funct_1(U_4141,sK415(U_4143,U_4142,U_4141)) != k15_ordinal2(sK415(U_4143,U_4142,U_4141),U_4142)
| ~ sP629(U_4142,U_4143,U_4141) ),
inference(clausify,[status(thm)],[f_1483_4]) ).
fof(f_1484_1,plain,
! [A] :
( k15_ordinal2(A,k1_xboole_0) = k1_xboole_0
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t55_ordinal2]) ).
fof(f_1484_2,plain,
! [U_4144] :
( k15_ordinal2(U_4144,k1_xboole_0) = k1_xboole_0
| ~ v3_ordinal1(U_4144) ),
inference(variable_rename,[status(thm)],[f_1484_1]) ).
fof(f_1484_3,plain,
! [U_4144] :
( k15_ordinal2(U_4144,k1_xboole_0) = k1_xboole_0
| ~ v3_ordinal1(U_4144) ),
inference(definitional_conversion,[status(esa)],[f_1484_2]) ).
cnf(f_1484_4,plain,
( k15_ordinal2(U_4144,k1_xboole_0) = k1_xboole_0
| ~ v3_ordinal1(U_4144) ),
inference(clausify,[status(thm)],[f_1484_3]) ).
fof(f_1485_1,plain,
! [A] :
( ( k15_ordinal2(A,k4_ordinal2) = A
& k15_ordinal2(k4_ordinal2,A) = A )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t56_ordinal2]) ).
fof(f_1485_2,plain,
! [U_4145] :
( ( k15_ordinal2(U_4145,k4_ordinal2) = U_4145
& k15_ordinal2(k4_ordinal2,U_4145) = U_4145 )
| ~ v3_ordinal1(U_4145) ),
inference(variable_rename,[status(thm)],[f_1485_1]) ).
fof(f_1485_3,plain,
( ! [U_4145] :
( k15_ordinal2(U_4145,k4_ordinal2) = U_4145
| ~ sP630(U_4145) )
& ! [U_4145] :
( k15_ordinal2(k4_ordinal2,U_4145) = U_4145
| ~ sP630(U_4145) )
& ! [U_4145] :
( sP630(U_4145)
| ~ v3_ordinal1(U_4145) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP630])],[f_1485_2]) ).
cnf(f_1485_4,plain,
( sP630(U_4145)
| ~ v3_ordinal1(U_4145) ),
inference(clausify,[status(thm)],[f_1485_3]) ).
cnf(f_1485_5,plain,
( k15_ordinal2(k4_ordinal2,U_4145) = U_4145
| ~ sP630(U_4145) ),
inference(clausify,[status(thm)],[f_1485_3]) ).
cnf(f_1485_6,plain,
( k15_ordinal2(U_4145,k4_ordinal2) = U_4145
| ~ sP630(U_4145) ),
inference(clausify,[status(thm)],[f_1485_3]) ).
fof(f_1486_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(k15_ordinal2(B,A),k15_ordinal2(C,A))
| A = k1_xboole_0
| ~ r2_hidden(B,C)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t57_ordinal2]) ).
fof(f_1486_2,plain,
! [U_4148] :
( ! [U_4147] :
( ! [U_4146] :
( r2_hidden(k15_ordinal2(U_4147,U_4148),k15_ordinal2(U_4146,U_4148))
| U_4148 = k1_xboole_0
| ~ r2_hidden(U_4147,U_4146)
| ~ v3_ordinal1(U_4146) )
| ~ v3_ordinal1(U_4147) )
| ~ v3_ordinal1(U_4148) ),
inference(variable_rename,[status(thm)],[f_1486_1]) ).
fof(f_1486_3,plain,
! [U_4148,U_4146,U_4147] :
( r2_hidden(k15_ordinal2(U_4147,U_4148),k15_ordinal2(U_4146,U_4148))
| U_4148 = k1_xboole_0
| ~ r2_hidden(U_4147,U_4146)
| ~ v3_ordinal1(U_4146)
| ~ v3_ordinal1(U_4147)
| ~ v3_ordinal1(U_4148) ),
inference(definitional_conversion,[status(esa)],[f_1486_2]) ).
cnf(f_1486_4,plain,
( r2_hidden(k15_ordinal2(U_4147,U_4148),k15_ordinal2(U_4146,U_4148))
| U_4148 = k1_xboole_0
| ~ r2_hidden(U_4147,U_4146)
| ~ v3_ordinal1(U_4146)
| ~ v3_ordinal1(U_4147)
| ~ v3_ordinal1(U_4148) ),
inference(clausify,[status(thm)],[f_1486_3]) ).
fof(f_1487_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_ordinal1(k15_ordinal2(A,C),k15_ordinal2(B,C))
| ~ r1_ordinal1(A,B)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t58_ordinal2]) ).
fof(f_1487_2,plain,
! [U_4151] :
( ! [U_4150] :
( ! [U_4149] :
( r1_ordinal1(k15_ordinal2(U_4151,U_4149),k15_ordinal2(U_4150,U_4149))
| ~ r1_ordinal1(U_4151,U_4150)
| ~ v3_ordinal1(U_4149) )
| ~ v3_ordinal1(U_4150) )
| ~ v3_ordinal1(U_4151) ),
inference(variable_rename,[status(thm)],[f_1487_1]) ).
fof(f_1487_3,plain,
! [U_4151,U_4150,U_4149] :
( r1_ordinal1(k15_ordinal2(U_4151,U_4149),k15_ordinal2(U_4150,U_4149))
| ~ r1_ordinal1(U_4151,U_4150)
| ~ v3_ordinal1(U_4149)
| ~ v3_ordinal1(U_4150)
| ~ v3_ordinal1(U_4151) ),
inference(definitional_conversion,[status(esa)],[f_1487_2]) ).
cnf(f_1487_4,plain,
( r1_ordinal1(k15_ordinal2(U_4151,U_4149),k15_ordinal2(U_4150,U_4149))
| ~ r1_ordinal1(U_4151,U_4150)
| ~ v3_ordinal1(U_4149)
| ~ v3_ordinal1(U_4150)
| ~ v3_ordinal1(U_4151) ),
inference(clausify,[status(thm)],[f_1487_3]) ).
fof(f_1488_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_ordinal1(k15_ordinal2(C,A),k15_ordinal2(C,B))
| ~ r1_ordinal1(A,B)
| ~ v3_ordinal1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t59_ordinal2]) ).
fof(f_1488_2,plain,
! [U_4154] :
( ! [U_4153] :
( ! [U_4152] :
( r1_ordinal1(k15_ordinal2(U_4152,U_4154),k15_ordinal2(U_4152,U_4153))
| ~ r1_ordinal1(U_4154,U_4153)
| ~ v3_ordinal1(U_4152) )
| ~ v3_ordinal1(U_4153) )
| ~ v3_ordinal1(U_4154) ),
inference(variable_rename,[status(thm)],[f_1488_1]) ).
fof(f_1488_3,plain,
! [U_4152,U_4154,U_4153] :
( r1_ordinal1(k15_ordinal2(U_4152,U_4154),k15_ordinal2(U_4152,U_4153))
| ~ r1_ordinal1(U_4154,U_4153)
| ~ v3_ordinal1(U_4152)
| ~ v3_ordinal1(U_4153)
| ~ v3_ordinal1(U_4154) ),
inference(definitional_conversion,[status(esa)],[f_1488_2]) ).
cnf(f_1488_4,plain,
( r1_ordinal1(k15_ordinal2(U_4152,U_4154),k15_ordinal2(U_4152,U_4153))
| ~ r1_ordinal1(U_4154,U_4153)
| ~ v3_ordinal1(U_4152)
| ~ v3_ordinal1(U_4153)
| ~ v3_ordinal1(U_4154) ),
inference(clausify,[status(thm)],[f_1488_3]) ).
fof(f_1489_1,plain,
! [A] :
( k16_ordinal2(A,k1_xboole_0) = k4_ordinal2
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t60_ordinal2]) ).
fof(f_1489_2,plain,
! [U_4155] :
( k16_ordinal2(U_4155,k1_xboole_0) = k4_ordinal2
| ~ v3_ordinal1(U_4155) ),
inference(variable_rename,[status(thm)],[f_1489_1]) ).
fof(f_1489_3,plain,
! [U_4155] :
( k16_ordinal2(U_4155,k1_xboole_0) = k4_ordinal2
| ~ v3_ordinal1(U_4155) ),
inference(definitional_conversion,[status(esa)],[f_1489_2]) ).
cnf(f_1489_4,plain,
( k16_ordinal2(U_4155,k1_xboole_0) = k4_ordinal2
| ~ v3_ordinal1(U_4155) ),
inference(clausify,[status(thm)],[f_1489_3]) ).
fof(f_1490_1,plain,
! [A] :
( ! [B] :
( k16_ordinal2(A,k1_ordinal1(B)) = k15_ordinal2(A,k16_ordinal2(A,B))
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t61_ordinal2]) ).
fof(f_1490_2,plain,
! [U_4157] :
( ! [U_4156] :
( k16_ordinal2(U_4157,k1_ordinal1(U_4156)) = k15_ordinal2(U_4157,k16_ordinal2(U_4157,U_4156))
| ~ v3_ordinal1(U_4156) )
| ~ v3_ordinal1(U_4157) ),
inference(variable_rename,[status(thm)],[f_1490_1]) ).
fof(f_1490_3,plain,
! [U_4157,U_4156] :
( k16_ordinal2(U_4157,k1_ordinal1(U_4156)) = k15_ordinal2(U_4157,k16_ordinal2(U_4157,U_4156))
| ~ v3_ordinal1(U_4156)
| ~ v3_ordinal1(U_4157) ),
inference(definitional_conversion,[status(esa)],[f_1490_2]) ).
cnf(f_1490_4,plain,
( k16_ordinal2(U_4157,k1_ordinal1(U_4156)) = k15_ordinal2(U_4157,k16_ordinal2(U_4157,U_4156))
| ~ v3_ordinal1(U_4156)
| ~ v3_ordinal1(U_4157) ),
inference(clausify,[status(thm)],[f_1490_3]) ).
fof(f_1491_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k16_ordinal2(B,A) = k12_ordinal2(C)
| ? [D] :
( k1_funct_1(C,D) != k16_ordinal2(B,D)
& r2_hidden(D,A)
& v3_ordinal1(D) )
| k1_relat_1(C) != A
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| A = k1_xboole_0
| ~ v4_ordinal1(A)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t62_ordinal2]) ).
fof(f_1491_2,plain,
! [U_4161] :
( ! [U_4160] :
( ! [U_4159] :
( k16_ordinal2(U_4160,U_4161) = k12_ordinal2(U_4159)
| ? [U_4158] :
( k1_funct_1(U_4159,U_4158) != k16_ordinal2(U_4160,U_4158)
& r2_hidden(U_4158,U_4161)
& v3_ordinal1(U_4158) )
| k1_relat_1(U_4159) != U_4161
| ~ v1_ordinal2(U_4159)
| ~ v5_ordinal1(U_4159)
| ~ v1_funct_1(U_4159)
| ~ v1_relat_1(U_4159) )
| U_4161 = k1_xboole_0
| ~ v4_ordinal1(U_4161)
| ~ v3_ordinal1(U_4160) )
| ~ v3_ordinal1(U_4161) ),
inference(variable_rename,[status(thm)],[f_1491_1]) ).
fof(f_1491_3,plain,
! [U_4161] :
( ! [U_4160] :
( ! [U_4159] :
( k16_ordinal2(U_4160,U_4161) = k12_ordinal2(U_4159)
| ( k1_funct_1(U_4159,sK416(U_4161,U_4160,U_4159)) != k16_ordinal2(U_4160,sK416(U_4161,U_4160,U_4159))
& r2_hidden(sK416(U_4161,U_4160,U_4159),U_4161)
& v3_ordinal1(sK416(U_4161,U_4160,U_4159)) )
| k1_relat_1(U_4159) != U_4161
| ~ v1_ordinal2(U_4159)
| ~ v5_ordinal1(U_4159)
| ~ v1_funct_1(U_4159)
| ~ v1_relat_1(U_4159) )
| U_4161 = k1_xboole_0
| ~ v4_ordinal1(U_4161)
| ~ v3_ordinal1(U_4160) )
| ~ v3_ordinal1(U_4161) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK416]),skolemize(U_4158,sK416(U_4161,U_4160,U_4159))],[f_1491_2]) ).
fof(f_1491_4,plain,
( ! [U_4160,U_4159,U_4161] :
( k1_funct_1(U_4159,sK416(U_4161,U_4160,U_4159)) != k16_ordinal2(U_4160,sK416(U_4161,U_4160,U_4159))
| ~ sP631(U_4160,U_4159,U_4161) )
& ! [U_4160,U_4159,U_4161] :
( r2_hidden(sK416(U_4161,U_4160,U_4159),U_4161)
| ~ sP631(U_4160,U_4159,U_4161) )
& ! [U_4160,U_4159,U_4161] :
( v3_ordinal1(sK416(U_4161,U_4160,U_4159))
| ~ sP631(U_4160,U_4159,U_4161) )
& ! [U_4160,U_4159,U_4161] :
( k16_ordinal2(U_4160,U_4161) = k12_ordinal2(U_4159)
| sP631(U_4160,U_4159,U_4161)
| k1_relat_1(U_4159) != U_4161
| ~ v1_ordinal2(U_4159)
| ~ v5_ordinal1(U_4159)
| ~ v1_funct_1(U_4159)
| ~ v1_relat_1(U_4159)
| U_4161 = k1_xboole_0
| ~ v4_ordinal1(U_4161)
| ~ v3_ordinal1(U_4160)
| ~ v3_ordinal1(U_4161) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP631])],[f_1491_3]) ).
cnf(f_1491_5,plain,
( k16_ordinal2(U_4160,U_4161) = k12_ordinal2(U_4159)
| sP631(U_4160,U_4159,U_4161)
| k1_relat_1(U_4159) != U_4161
| ~ v1_ordinal2(U_4159)
| ~ v5_ordinal1(U_4159)
| ~ v1_funct_1(U_4159)
| ~ v1_relat_1(U_4159)
| U_4161 = k1_xboole_0
| ~ v4_ordinal1(U_4161)
| ~ v3_ordinal1(U_4160)
| ~ v3_ordinal1(U_4161) ),
inference(clausify,[status(thm)],[f_1491_4]) ).
cnf(f_1491_6,plain,
( v3_ordinal1(sK416(U_4161,U_4160,U_4159))
| ~ sP631(U_4160,U_4159,U_4161) ),
inference(clausify,[status(thm)],[f_1491_4]) ).
cnf(f_1491_7,plain,
( r2_hidden(sK416(U_4161,U_4160,U_4159),U_4161)
| ~ sP631(U_4160,U_4159,U_4161) ),
inference(clausify,[status(thm)],[f_1491_4]) ).
cnf(f_1491_8,plain,
( k1_funct_1(U_4159,sK416(U_4161,U_4160,U_4159)) != k16_ordinal2(U_4160,sK416(U_4161,U_4160,U_4159))
| ~ sP631(U_4160,U_4159,U_4161) ),
inference(clausify,[status(thm)],[f_1491_4]) ).
fof(f_1492_1,plain,
! [A] :
( ( k16_ordinal2(k4_ordinal2,A) = k4_ordinal2
& k16_ordinal2(A,k4_ordinal2) = A )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t63_ordinal2]) ).
fof(f_1492_2,plain,
! [U_4162] :
( ( k16_ordinal2(k4_ordinal2,U_4162) = k4_ordinal2
& k16_ordinal2(U_4162,k4_ordinal2) = U_4162 )
| ~ v3_ordinal1(U_4162) ),
inference(variable_rename,[status(thm)],[f_1492_1]) ).
fof(f_1492_3,plain,
( ! [U_4162] :
( k16_ordinal2(k4_ordinal2,U_4162) = k4_ordinal2
| ~ sP632(U_4162) )
& ! [U_4162] :
( k16_ordinal2(U_4162,k4_ordinal2) = U_4162
| ~ sP632(U_4162) )
& ! [U_4162] :
( sP632(U_4162)
| ~ v3_ordinal1(U_4162) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP632])],[f_1492_2]) ).
cnf(f_1492_4,plain,
( sP632(U_4162)
| ~ v3_ordinal1(U_4162) ),
inference(clausify,[status(thm)],[f_1492_3]) ).
cnf(f_1492_5,plain,
( k16_ordinal2(U_4162,k4_ordinal2) = U_4162
| ~ sP632(U_4162) ),
inference(clausify,[status(thm)],[f_1492_3]) ).
cnf(f_1492_6,plain,
( k16_ordinal2(k4_ordinal2,U_4162) = k4_ordinal2
| ~ sP632(U_4162) ),
inference(clausify,[status(thm)],[f_1492_3]) ).
fof(f_1493_1,plain,
! [A] :
( ( v4_ordinal2(A)
| ~ r2_hidden(A,k5_ordinal2) )
& ( r2_hidden(A,k5_ordinal2)
| ~ v4_ordinal2(A) ) ),
inference(fof_nnf,[status(thm)],[d21_ordinal2]) ).
fof(f_1493_2,plain,
! [U_4163] :
( ( v4_ordinal2(U_4163)
| ~ r2_hidden(U_4163,k5_ordinal2) )
& ( r2_hidden(U_4163,k5_ordinal2)
| ~ v4_ordinal2(U_4163) ) ),
inference(variable_rename,[status(thm)],[f_1493_1]) ).
fof(f_1493_3,plain,
( ! [U_4165] :
( v4_ordinal2(U_4165)
| ~ r2_hidden(U_4165,k5_ordinal2) )
& ! [U_4164] :
( r2_hidden(U_4164,k5_ordinal2)
| ~ v4_ordinal2(U_4164) ) ),
inference(miniscope,[status(thm)],[f_1493_2]) ).
fof(f_1493_4,plain,
( ! [U_4165] :
( v4_ordinal2(U_4165)
| ~ r2_hidden(U_4165,k5_ordinal2) )
& ! [U_4164] :
( r2_hidden(U_4164,k5_ordinal2)
| ~ v4_ordinal2(U_4164) ) ),
inference(definitional_conversion,[status(esa)],[f_1493_3]) ).
cnf(f_1493_5,plain,
( r2_hidden(U_4164,k5_ordinal2)
| ~ v4_ordinal2(U_4164) ),
inference(clausify,[status(thm)],[f_1493_4]) ).
cnf(f_1493_6,plain,
( v4_ordinal2(U_4165)
| ~ r2_hidden(U_4165,k5_ordinal2) ),
inference(clausify,[status(thm)],[f_1493_4]) ).
fof(f_1494_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t64_ordinal2]) ).
fof(f_1494_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1494_1]) ).
cnf(f_1494_3,plain,
$true,
inference(clausify,[status(thm)],[f_1494_2]) ).
fof(f_1495_1,plain,
! [A] :
( ? [B] :
( ? [C] :
( A = k14_ordinal2(B,C)
& v4_ordinal2(C)
& v4_ordinal1(B)
& v3_ordinal1(C) )
& v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t65_ordinal2]) ).
fof(f_1495_2,plain,
! [U_4168] :
( ? [U_4167] :
( ? [U_4166] :
( U_4168 = k14_ordinal2(U_4167,U_4166)
& v4_ordinal2(U_4166)
& v4_ordinal1(U_4167)
& v3_ordinal1(U_4166) )
& v3_ordinal1(U_4167) )
| ~ v3_ordinal1(U_4168) ),
inference(variable_rename,[status(thm)],[f_1495_1]) ).
fof(f_1495_3,plain,
! [U_4168] :
( ? [U_4167] :
( ? [U_4166] :
( U_4168 = k14_ordinal2(U_4167,U_4166)
& v4_ordinal2(U_4166)
& v3_ordinal1(U_4166) )
& v4_ordinal1(U_4167)
& v3_ordinal1(U_4167) )
| ~ v3_ordinal1(U_4168) ),
inference(miniscope,[status(thm)],[f_1495_2]) ).
fof(f_1495_4,plain,
! [U_4168] :
( ( ? [U_4166] :
( U_4168 = k14_ordinal2(sK417(U_4168),U_4166)
& v4_ordinal2(U_4166)
& v3_ordinal1(U_4166) )
& v4_ordinal1(sK417(U_4168))
& v3_ordinal1(sK417(U_4168)) )
| ~ v3_ordinal1(U_4168) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK417]),skolemize(U_4167,sK417(U_4168))],[f_1495_3]) ).
fof(f_1495_5,plain,
! [U_4168] :
( ( U_4168 = k14_ordinal2(sK417(U_4168),sK418(U_4168))
& v4_ordinal2(sK418(U_4168))
& v3_ordinal1(sK418(U_4168))
& v4_ordinal1(sK417(U_4168))
& v3_ordinal1(sK417(U_4168)) )
| ~ v3_ordinal1(U_4168) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK418]),skolemize(U_4166,sK418(U_4168))],[f_1495_4]) ).
fof(f_1495_6,plain,
( ! [U_4168] :
( U_4168 = k14_ordinal2(sK417(U_4168),sK418(U_4168))
| ~ sP633(U_4168) )
& ! [U_4168] :
( v4_ordinal2(sK418(U_4168))
| ~ sP633(U_4168) )
& ! [U_4168] :
( v3_ordinal1(sK418(U_4168))
| ~ sP633(U_4168) )
& ! [U_4168] :
( v4_ordinal1(sK417(U_4168))
| ~ sP633(U_4168) )
& ! [U_4168] :
( v3_ordinal1(sK417(U_4168))
| ~ sP633(U_4168) )
& ! [U_4168] :
( sP633(U_4168)
| ~ v3_ordinal1(U_4168) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP633])],[f_1495_5]) ).
cnf(f_1495_7,plain,
( sP633(U_4168)
| ~ v3_ordinal1(U_4168) ),
inference(clausify,[status(thm)],[f_1495_6]) ).
cnf(f_1495_8,plain,
( v3_ordinal1(sK417(U_4168))
| ~ sP633(U_4168) ),
inference(clausify,[status(thm)],[f_1495_6]) ).
cnf(f_1495_9,plain,
( v4_ordinal1(sK417(U_4168))
| ~ sP633(U_4168) ),
inference(clausify,[status(thm)],[f_1495_6]) ).
cnf(f_1495_10,plain,
( v3_ordinal1(sK418(U_4168))
| ~ sP633(U_4168) ),
inference(clausify,[status(thm)],[f_1495_6]) ).
cnf(f_1495_11,plain,
( v4_ordinal2(sK418(U_4168))
| ~ sP633(U_4168) ),
inference(clausify,[status(thm)],[f_1495_6]) ).
cnf(f_1495_12,plain,
( U_4168 = k14_ordinal2(sK417(U_4168),sK418(U_4168))
| ~ sP633(U_4168) ),
inference(clausify,[status(thm)],[f_1495_6]) ).
fof(f_1496_1,plain,
( ! [A] :
( p1_s1_ordinal2(A)
| ~ v3_ordinal1(A) )
| ? [A] :
( ~ p1_s1_ordinal2(A)
& A != k1_xboole_0
& ! [B] :
( p1_s1_ordinal2(B)
| ~ r2_hidden(B,A)
| ~ v3_ordinal1(B) )
& v4_ordinal1(A)
& v3_ordinal1(A) )
| ? [A] :
( ~ p1_s1_ordinal2(k1_ordinal1(A))
& p1_s1_ordinal2(A)
& v3_ordinal1(A) )
| ~ p1_s1_ordinal2(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[s1_ordinal2]) ).
fof(f_1496_2,plain,
( ! [U_4172] :
( p1_s1_ordinal2(U_4172)
| ~ v3_ordinal1(U_4172) )
| ? [U_4171] :
( ~ p1_s1_ordinal2(U_4171)
& U_4171 != k1_xboole_0
& ! [U_4170] :
( p1_s1_ordinal2(U_4170)
| ~ r2_hidden(U_4170,U_4171)
| ~ v3_ordinal1(U_4170) )
& v4_ordinal1(U_4171)
& v3_ordinal1(U_4171) )
| ? [U_4169] :
( ~ p1_s1_ordinal2(k1_ordinal1(U_4169))
& p1_s1_ordinal2(U_4169)
& v3_ordinal1(U_4169) )
| ~ p1_s1_ordinal2(k1_xboole_0) ),
inference(variable_rename,[status(thm)],[f_1496_1]) ).
fof(f_1496_3,plain,
( ! [U_4172] :
( p1_s1_ordinal2(U_4172)
| ~ v3_ordinal1(U_4172) )
| ? [U_4171] :
( ~ p1_s1_ordinal2(U_4171)
& U_4171 != k1_xboole_0
& ! [U_4170] :
( p1_s1_ordinal2(U_4170)
| ~ r2_hidden(U_4170,U_4171)
| ~ v3_ordinal1(U_4170) )
& v4_ordinal1(U_4171)
& v3_ordinal1(U_4171) )
| ( ~ p1_s1_ordinal2(k1_ordinal1(sK419))
& p1_s1_ordinal2(sK419)
& v3_ordinal1(sK419) )
| ~ p1_s1_ordinal2(k1_xboole_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK419]),skolemize(U_4169,sK419)],[f_1496_2]) ).
fof(f_1496_4,plain,
( ! [U_4172] :
( p1_s1_ordinal2(U_4172)
| ~ v3_ordinal1(U_4172) )
| ( ~ p1_s1_ordinal2(sK420)
& sK420 != k1_xboole_0
& ! [U_4170] :
( p1_s1_ordinal2(U_4170)
| ~ r2_hidden(U_4170,sK420)
| ~ v3_ordinal1(U_4170) )
& v4_ordinal1(sK420)
& v3_ordinal1(sK420) )
| ( ~ p1_s1_ordinal2(k1_ordinal1(sK419))
& p1_s1_ordinal2(sK419)
& v3_ordinal1(sK419) )
| ~ p1_s1_ordinal2(k1_xboole_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK420]),skolemize(U_4171,sK420)],[f_1496_3]) ).
fof(f_1496_5,plain,
( ! [U_4170] :
( ~ p1_s1_ordinal2(sK420)
| ~ sP635(U_4170) )
& ! [U_4170] :
( sK420 != k1_xboole_0
| ~ sP635(U_4170) )
& ! [U_4170] :
( p1_s1_ordinal2(U_4170)
| ~ r2_hidden(U_4170,sK420)
| ~ v3_ordinal1(U_4170)
| ~ sP635(U_4170) )
& ! [U_4170] :
( v4_ordinal1(sK420)
| ~ sP635(U_4170) )
& ! [U_4170] :
( v3_ordinal1(sK420)
| ~ sP635(U_4170) )
& ( ~ p1_s1_ordinal2(k1_ordinal1(sK419))
| ~ sP634 )
& ( p1_s1_ordinal2(sK419)
| ~ sP634 )
& ( v3_ordinal1(sK419)
| ~ sP634 )
& ! [U_4172,U_4170] :
( p1_s1_ordinal2(U_4172)
| ~ v3_ordinal1(U_4172)
| sP635(U_4170)
| sP634
| ~ p1_s1_ordinal2(k1_xboole_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP634,sP635])],[f_1496_4]) ).
cnf(f_1496_6,plain,
( p1_s1_ordinal2(U_4172)
| ~ v3_ordinal1(U_4172)
| sP635(U_4170)
| sP634
| ~ p1_s1_ordinal2(k1_xboole_0) ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_7,plain,
( v3_ordinal1(sK419)
| ~ sP634 ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_8,plain,
( p1_s1_ordinal2(sK419)
| ~ sP634 ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_9,plain,
( ~ p1_s1_ordinal2(k1_ordinal1(sK419))
| ~ sP634 ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_10,plain,
( v3_ordinal1(sK420)
| ~ sP635(U_4170) ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_11,plain,
( v4_ordinal1(sK420)
| ~ sP635(U_4170) ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_12,plain,
( p1_s1_ordinal2(U_4170)
| ~ r2_hidden(U_4170,sK420)
| ~ v3_ordinal1(U_4170)
| ~ sP635(U_4170) ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_13,plain,
( sK420 != k1_xboole_0
| ~ sP635(U_4170) ),
inference(clausify,[status(thm)],[f_1496_5]) ).
cnf(f_1496_14,plain,
( ~ p1_s1_ordinal2(sK420)
| ~ sP635(U_4170) ),
inference(clausify,[status(thm)],[f_1496_5]) ).
fof(f_1497_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f2_s2_ordinal2(B)
| ~ r2_hidden(B,f1_s2_ordinal2)
| ~ v3_ordinal1(B) )
& k1_relat_1(A) = f1_s2_ordinal2
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s2_ordinal2]) ).
fof(f_1497_2,plain,
? [U_4174] :
( ! [U_4173] :
( k1_funct_1(U_4174,U_4173) = f2_s2_ordinal2(U_4173)
| ~ r2_hidden(U_4173,f1_s2_ordinal2)
| ~ v3_ordinal1(U_4173) )
& k1_relat_1(U_4174) = f1_s2_ordinal2
& v5_ordinal1(U_4174)
& v1_funct_1(U_4174)
& v1_relat_1(U_4174) ),
inference(variable_rename,[status(thm)],[f_1497_1]) ).
fof(f_1497_3,plain,
( ! [U_4173] :
( k1_funct_1(sK421,U_4173) = f2_s2_ordinal2(U_4173)
| ~ r2_hidden(U_4173,f1_s2_ordinal2)
| ~ v3_ordinal1(U_4173) )
& k1_relat_1(sK421) = f1_s2_ordinal2
& v5_ordinal1(sK421)
& v1_funct_1(sK421)
& v1_relat_1(sK421) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK421]),skolemize(U_4174,sK421)],[f_1497_2]) ).
fof(f_1497_4,plain,
( ! [U_4173] :
( k1_funct_1(sK421,U_4173) = f2_s2_ordinal2(U_4173)
| ~ r2_hidden(U_4173,f1_s2_ordinal2)
| ~ v3_ordinal1(U_4173) )
& k1_relat_1(sK421) = f1_s2_ordinal2
& v5_ordinal1(sK421)
& v1_funct_1(sK421)
& v1_relat_1(sK421) ),
inference(definitional_conversion,[status(esa)],[f_1497_3]) ).
cnf(f_1497_5,plain,
v1_relat_1(sK421),
inference(clausify,[status(thm)],[f_1497_4]) ).
cnf(f_1497_6,plain,
v1_funct_1(sK421),
inference(clausify,[status(thm)],[f_1497_4]) ).
cnf(f_1497_7,plain,
v5_ordinal1(sK421),
inference(clausify,[status(thm)],[f_1497_4]) ).
cnf(f_1497_8,plain,
k1_relat_1(sK421) = f1_s2_ordinal2,
inference(clausify,[status(thm)],[f_1497_4]) ).
cnf(f_1497_9,plain,
( k1_funct_1(sK421,U_4173) = f2_s2_ordinal2(U_4173)
| ~ r2_hidden(U_4173,f1_s2_ordinal2)
| ~ v3_ordinal1(U_4173) ),
inference(clausify,[status(thm)],[f_1497_4]) ).
fof(f_1498_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f2_s3_ordinal2(B)
| ~ r2_hidden(B,f1_s3_ordinal2)
| ~ v3_ordinal1(B) )
& k1_relat_1(A) = f1_s3_ordinal2
& v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s3_ordinal2]) ).
fof(f_1498_2,plain,
? [U_4176] :
( ! [U_4175] :
( k1_funct_1(U_4176,U_4175) = f2_s3_ordinal2(U_4175)
| ~ r2_hidden(U_4175,f1_s3_ordinal2)
| ~ v3_ordinal1(U_4175) )
& k1_relat_1(U_4176) = f1_s3_ordinal2
& v1_ordinal2(U_4176)
& v5_ordinal1(U_4176)
& v1_funct_1(U_4176)
& v1_relat_1(U_4176) ),
inference(variable_rename,[status(thm)],[f_1498_1]) ).
fof(f_1498_3,plain,
( ! [U_4175] :
( k1_funct_1(sK422,U_4175) = f2_s3_ordinal2(U_4175)
| ~ r2_hidden(U_4175,f1_s3_ordinal2)
| ~ v3_ordinal1(U_4175) )
& k1_relat_1(sK422) = f1_s3_ordinal2
& v1_ordinal2(sK422)
& v5_ordinal1(sK422)
& v1_funct_1(sK422)
& v1_relat_1(sK422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK422]),skolemize(U_4176,sK422)],[f_1498_2]) ).
fof(f_1498_4,plain,
( ! [U_4175] :
( k1_funct_1(sK422,U_4175) = f2_s3_ordinal2(U_4175)
| ~ r2_hidden(U_4175,f1_s3_ordinal2)
| ~ v3_ordinal1(U_4175) )
& k1_relat_1(sK422) = f1_s3_ordinal2
& v1_ordinal2(sK422)
& v5_ordinal1(sK422)
& v1_funct_1(sK422)
& v1_relat_1(sK422) ),
inference(definitional_conversion,[status(esa)],[f_1498_3]) ).
cnf(f_1498_5,plain,
v1_relat_1(sK422),
inference(clausify,[status(thm)],[f_1498_4]) ).
cnf(f_1498_6,plain,
v1_funct_1(sK422),
inference(clausify,[status(thm)],[f_1498_4]) ).
cnf(f_1498_7,plain,
v5_ordinal1(sK422),
inference(clausify,[status(thm)],[f_1498_4]) ).
cnf(f_1498_8,plain,
v1_ordinal2(sK422),
inference(clausify,[status(thm)],[f_1498_4]) ).
cnf(f_1498_9,plain,
k1_relat_1(sK422) = f1_s3_ordinal2,
inference(clausify,[status(thm)],[f_1498_4]) ).
cnf(f_1498_10,plain,
( k1_funct_1(sK422,U_4175) = f2_s3_ordinal2(U_4175)
| ~ r2_hidden(U_4175,f1_s3_ordinal2)
| ~ v3_ordinal1(U_4175) ),
inference(clausify,[status(thm)],[f_1498_4]) ).
fof(f_1499_1,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| ? [A] :
( k1_funct_1(f6_s4_ordinal2,A) != f4_s4_ordinal2(A,k2_ordinal1(f6_s4_ordinal2,A))
& A != k1_xboole_0
& v4_ordinal1(A)
& r2_hidden(A,f1_s4_ordinal2)
& v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(A)) != f3_s4_ordinal2(A,k1_funct_1(f6_s4_ordinal2,A))
& r2_hidden(k1_ordinal1(A),f1_s4_ordinal2)
& v3_ordinal1(A) )
| ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| ? [A] :
( k1_funct_1(f5_s4_ordinal2,A) != f4_s4_ordinal2(A,k2_ordinal1(f5_s4_ordinal2,A))
& A != k1_xboole_0
& v4_ordinal1(A)
& r2_hidden(A,f1_s4_ordinal2)
& v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(A)) != f3_s4_ordinal2(A,k1_funct_1(f5_s4_ordinal2,A))
& r2_hidden(k1_ordinal1(A),f1_s4_ordinal2)
& v3_ordinal1(A) )
| ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(fof_nnf,[status(thm)],[s4_ordinal2]) ).
fof(f_1499_2,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| ? [U_4180] :
( k1_funct_1(f6_s4_ordinal2,U_4180) != f4_s4_ordinal2(U_4180,k2_ordinal1(f6_s4_ordinal2,U_4180))
& U_4180 != k1_xboole_0
& v4_ordinal1(U_4180)
& r2_hidden(U_4180,f1_s4_ordinal2)
& v3_ordinal1(U_4180) )
| ? [U_4179] :
( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(U_4179)) != f3_s4_ordinal2(U_4179,k1_funct_1(f6_s4_ordinal2,U_4179))
& r2_hidden(k1_ordinal1(U_4179),f1_s4_ordinal2)
& v3_ordinal1(U_4179) )
| ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| ? [U_4178] :
( k1_funct_1(f5_s4_ordinal2,U_4178) != f4_s4_ordinal2(U_4178,k2_ordinal1(f5_s4_ordinal2,U_4178))
& U_4178 != k1_xboole_0
& v4_ordinal1(U_4178)
& r2_hidden(U_4178,f1_s4_ordinal2)
& v3_ordinal1(U_4178) )
| ? [U_4177] :
( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(U_4177)) != f3_s4_ordinal2(U_4177,k1_funct_1(f5_s4_ordinal2,U_4177))
& r2_hidden(k1_ordinal1(U_4177),f1_s4_ordinal2)
& v3_ordinal1(U_4177) )
| ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(variable_rename,[status(thm)],[f_1499_1]) ).
fof(f_1499_3,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| ? [U_4180] :
( k1_funct_1(f6_s4_ordinal2,U_4180) != f4_s4_ordinal2(U_4180,k2_ordinal1(f6_s4_ordinal2,U_4180))
& U_4180 != k1_xboole_0
& v4_ordinal1(U_4180)
& r2_hidden(U_4180,f1_s4_ordinal2)
& v3_ordinal1(U_4180) )
| ? [U_4179] :
( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(U_4179)) != f3_s4_ordinal2(U_4179,k1_funct_1(f6_s4_ordinal2,U_4179))
& r2_hidden(k1_ordinal1(U_4179),f1_s4_ordinal2)
& v3_ordinal1(U_4179) )
| ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| ? [U_4178] :
( k1_funct_1(f5_s4_ordinal2,U_4178) != f4_s4_ordinal2(U_4178,k2_ordinal1(f5_s4_ordinal2,U_4178))
& U_4178 != k1_xboole_0
& v4_ordinal1(U_4178)
& r2_hidden(U_4178,f1_s4_ordinal2)
& v3_ordinal1(U_4178) )
| ( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(sK423)) != f3_s4_ordinal2(sK423,k1_funct_1(f5_s4_ordinal2,sK423))
& r2_hidden(k1_ordinal1(sK423),f1_s4_ordinal2)
& v3_ordinal1(sK423) )
| ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK423]),skolemize(U_4177,sK423)],[f_1499_2]) ).
fof(f_1499_4,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| ? [U_4180] :
( k1_funct_1(f6_s4_ordinal2,U_4180) != f4_s4_ordinal2(U_4180,k2_ordinal1(f6_s4_ordinal2,U_4180))
& U_4180 != k1_xboole_0
& v4_ordinal1(U_4180)
& r2_hidden(U_4180,f1_s4_ordinal2)
& v3_ordinal1(U_4180) )
| ? [U_4179] :
( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(U_4179)) != f3_s4_ordinal2(U_4179,k1_funct_1(f6_s4_ordinal2,U_4179))
& r2_hidden(k1_ordinal1(U_4179),f1_s4_ordinal2)
& v3_ordinal1(U_4179) )
| ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| ( k1_funct_1(f5_s4_ordinal2,sK424) != f4_s4_ordinal2(sK424,k2_ordinal1(f5_s4_ordinal2,sK424))
& sK424 != k1_xboole_0
& v4_ordinal1(sK424)
& r2_hidden(sK424,f1_s4_ordinal2)
& v3_ordinal1(sK424) )
| ( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(sK423)) != f3_s4_ordinal2(sK423,k1_funct_1(f5_s4_ordinal2,sK423))
& r2_hidden(k1_ordinal1(sK423),f1_s4_ordinal2)
& v3_ordinal1(sK423) )
| ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK424]),skolemize(U_4178,sK424)],[f_1499_3]) ).
fof(f_1499_5,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| ? [U_4180] :
( k1_funct_1(f6_s4_ordinal2,U_4180) != f4_s4_ordinal2(U_4180,k2_ordinal1(f6_s4_ordinal2,U_4180))
& U_4180 != k1_xboole_0
& v4_ordinal1(U_4180)
& r2_hidden(U_4180,f1_s4_ordinal2)
& v3_ordinal1(U_4180) )
| ( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(sK425)) != f3_s4_ordinal2(sK425,k1_funct_1(f6_s4_ordinal2,sK425))
& r2_hidden(k1_ordinal1(sK425),f1_s4_ordinal2)
& v3_ordinal1(sK425) )
| ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| ( k1_funct_1(f5_s4_ordinal2,sK424) != f4_s4_ordinal2(sK424,k2_ordinal1(f5_s4_ordinal2,sK424))
& sK424 != k1_xboole_0
& v4_ordinal1(sK424)
& r2_hidden(sK424,f1_s4_ordinal2)
& v3_ordinal1(sK424) )
| ( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(sK423)) != f3_s4_ordinal2(sK423,k1_funct_1(f5_s4_ordinal2,sK423))
& r2_hidden(k1_ordinal1(sK423),f1_s4_ordinal2)
& v3_ordinal1(sK423) )
| ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK425]),skolemize(U_4179,sK425)],[f_1499_4]) ).
fof(f_1499_6,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| ( k1_funct_1(f6_s4_ordinal2,sK426) != f4_s4_ordinal2(sK426,k2_ordinal1(f6_s4_ordinal2,sK426))
& sK426 != k1_xboole_0
& v4_ordinal1(sK426)
& r2_hidden(sK426,f1_s4_ordinal2)
& v3_ordinal1(sK426) )
| ( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(sK425)) != f3_s4_ordinal2(sK425,k1_funct_1(f6_s4_ordinal2,sK425))
& r2_hidden(k1_ordinal1(sK425),f1_s4_ordinal2)
& v3_ordinal1(sK425) )
| ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| ( k1_funct_1(f5_s4_ordinal2,sK424) != f4_s4_ordinal2(sK424,k2_ordinal1(f5_s4_ordinal2,sK424))
& sK424 != k1_xboole_0
& v4_ordinal1(sK424)
& r2_hidden(sK424,f1_s4_ordinal2)
& v3_ordinal1(sK424) )
| ( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(sK423)) != f3_s4_ordinal2(sK423,k1_funct_1(f5_s4_ordinal2,sK423))
& r2_hidden(k1_ordinal1(sK423),f1_s4_ordinal2)
& v3_ordinal1(sK423) )
| ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
& r2_hidden(k1_xboole_0,f1_s4_ordinal2) )
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK426]),skolemize(U_4180,sK426)],[f_1499_5]) ).
fof(f_1499_7,plain,
( ( k1_funct_1(f6_s4_ordinal2,sK426) != f4_s4_ordinal2(sK426,k2_ordinal1(f6_s4_ordinal2,sK426))
| ~ sP641 )
& ( sK426 != k1_xboole_0
| ~ sP641 )
& ( v4_ordinal1(sK426)
| ~ sP641 )
& ( r2_hidden(sK426,f1_s4_ordinal2)
| ~ sP641 )
& ( v3_ordinal1(sK426)
| ~ sP641 )
& ( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(sK425)) != f3_s4_ordinal2(sK425,k1_funct_1(f6_s4_ordinal2,sK425))
| ~ sP640 )
& ( r2_hidden(k1_ordinal1(sK425),f1_s4_ordinal2)
| ~ sP640 )
& ( v3_ordinal1(sK425)
| ~ sP640 )
& ( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
| ~ sP639 )
& ( r2_hidden(k1_xboole_0,f1_s4_ordinal2)
| ~ sP639 )
& ( k1_funct_1(f5_s4_ordinal2,sK424) != f4_s4_ordinal2(sK424,k2_ordinal1(f5_s4_ordinal2,sK424))
| ~ sP638 )
& ( sK424 != k1_xboole_0
| ~ sP638 )
& ( v4_ordinal1(sK424)
| ~ sP638 )
& ( r2_hidden(sK424,f1_s4_ordinal2)
| ~ sP638 )
& ( v3_ordinal1(sK424)
| ~ sP638 )
& ( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(sK423)) != f3_s4_ordinal2(sK423,k1_funct_1(f5_s4_ordinal2,sK423))
| ~ sP637 )
& ( r2_hidden(k1_ordinal1(sK423),f1_s4_ordinal2)
| ~ sP637 )
& ( v3_ordinal1(sK423)
| ~ sP637 )
& ( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
| ~ sP636 )
& ( r2_hidden(k1_xboole_0,f1_s4_ordinal2)
| ~ sP636 )
& ( f5_s4_ordinal2 = f6_s4_ordinal2
| sP641
| sP640
| sP639
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| sP638
| sP637
| sP636
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP636,sP637,sP638,sP639,sP640,sP641])],[f_1499_6]) ).
cnf(f_1499_8,plain,
( f5_s4_ordinal2 = f6_s4_ordinal2
| sP641
| sP640
| sP639
| k1_relat_1(f6_s4_ordinal2) != f1_s4_ordinal2
| sP638
| sP637
| sP636
| k1_relat_1(f5_s4_ordinal2) != f1_s4_ordinal2 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_9,plain,
( r2_hidden(k1_xboole_0,f1_s4_ordinal2)
| ~ sP636 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_10,plain,
( k1_funct_1(f5_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
| ~ sP636 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_11,plain,
( v3_ordinal1(sK423)
| ~ sP637 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_12,plain,
( r2_hidden(k1_ordinal1(sK423),f1_s4_ordinal2)
| ~ sP637 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_13,plain,
( k1_funct_1(f5_s4_ordinal2,k1_ordinal1(sK423)) != f3_s4_ordinal2(sK423,k1_funct_1(f5_s4_ordinal2,sK423))
| ~ sP637 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_14,plain,
( v3_ordinal1(sK424)
| ~ sP638 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_15,plain,
( r2_hidden(sK424,f1_s4_ordinal2)
| ~ sP638 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_16,plain,
( v4_ordinal1(sK424)
| ~ sP638 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_17,plain,
( sK424 != k1_xboole_0
| ~ sP638 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_18,plain,
( k1_funct_1(f5_s4_ordinal2,sK424) != f4_s4_ordinal2(sK424,k2_ordinal1(f5_s4_ordinal2,sK424))
| ~ sP638 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_19,plain,
( r2_hidden(k1_xboole_0,f1_s4_ordinal2)
| ~ sP639 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_20,plain,
( k1_funct_1(f6_s4_ordinal2,k1_xboole_0) != f2_s4_ordinal2
| ~ sP639 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_21,plain,
( v3_ordinal1(sK425)
| ~ sP640 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_22,plain,
( r2_hidden(k1_ordinal1(sK425),f1_s4_ordinal2)
| ~ sP640 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_23,plain,
( k1_funct_1(f6_s4_ordinal2,k1_ordinal1(sK425)) != f3_s4_ordinal2(sK425,k1_funct_1(f6_s4_ordinal2,sK425))
| ~ sP640 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_24,plain,
( v3_ordinal1(sK426)
| ~ sP641 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_25,plain,
( r2_hidden(sK426,f1_s4_ordinal2)
| ~ sP641 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_26,plain,
( v4_ordinal1(sK426)
| ~ sP641 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_27,plain,
( sK426 != k1_xboole_0
| ~ sP641 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
cnf(f_1499_28,plain,
( k1_funct_1(f6_s4_ordinal2,sK426) != f4_s4_ordinal2(sK426,k2_ordinal1(f6_s4_ordinal2,sK426))
| ~ sP641 ),
inference(clausify,[status(thm)],[f_1499_7]) ).
fof(f_1500_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f4_s5_ordinal2(B,k2_ordinal1(A,B))
| B = k1_xboole_0
| ~ v4_ordinal1(B)
| ~ r2_hidden(B,f1_s5_ordinal2)
| ~ v3_ordinal1(B) )
& ! [B] :
( k1_funct_1(A,k1_ordinal1(B)) = f3_s5_ordinal2(B,k1_funct_1(A,B))
| ~ r2_hidden(k1_ordinal1(B),f1_s5_ordinal2)
| ~ v3_ordinal1(B) )
& ( k1_funct_1(A,k1_xboole_0) = f2_s5_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s5_ordinal2) )
& k1_relat_1(A) = f1_s5_ordinal2
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s5_ordinal2]) ).
fof(f_1500_2,plain,
? [U_4183] :
( ! [U_4182] :
( k1_funct_1(U_4183,U_4182) = f4_s5_ordinal2(U_4182,k2_ordinal1(U_4183,U_4182))
| U_4182 = k1_xboole_0
| ~ v4_ordinal1(U_4182)
| ~ r2_hidden(U_4182,f1_s5_ordinal2)
| ~ v3_ordinal1(U_4182) )
& ! [U_4181] :
( k1_funct_1(U_4183,k1_ordinal1(U_4181)) = f3_s5_ordinal2(U_4181,k1_funct_1(U_4183,U_4181))
| ~ r2_hidden(k1_ordinal1(U_4181),f1_s5_ordinal2)
| ~ v3_ordinal1(U_4181) )
& ( k1_funct_1(U_4183,k1_xboole_0) = f2_s5_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s5_ordinal2) )
& k1_relat_1(U_4183) = f1_s5_ordinal2
& v5_ordinal1(U_4183)
& v1_funct_1(U_4183)
& v1_relat_1(U_4183) ),
inference(variable_rename,[status(thm)],[f_1500_1]) ).
fof(f_1500_3,plain,
( ! [U_4182] :
( k1_funct_1(sK427,U_4182) = f4_s5_ordinal2(U_4182,k2_ordinal1(sK427,U_4182))
| U_4182 = k1_xboole_0
| ~ v4_ordinal1(U_4182)
| ~ r2_hidden(U_4182,f1_s5_ordinal2)
| ~ v3_ordinal1(U_4182) )
& ! [U_4181] :
( k1_funct_1(sK427,k1_ordinal1(U_4181)) = f3_s5_ordinal2(U_4181,k1_funct_1(sK427,U_4181))
| ~ r2_hidden(k1_ordinal1(U_4181),f1_s5_ordinal2)
| ~ v3_ordinal1(U_4181) )
& ( k1_funct_1(sK427,k1_xboole_0) = f2_s5_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s5_ordinal2) )
& k1_relat_1(sK427) = f1_s5_ordinal2
& v5_ordinal1(sK427)
& v1_funct_1(sK427)
& v1_relat_1(sK427) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK427]),skolemize(U_4183,sK427)],[f_1500_2]) ).
fof(f_1500_4,plain,
( ! [U_4182] :
( k1_funct_1(sK427,U_4182) = f4_s5_ordinal2(U_4182,k2_ordinal1(sK427,U_4182))
| U_4182 = k1_xboole_0
| ~ v4_ordinal1(U_4182)
| ~ r2_hidden(U_4182,f1_s5_ordinal2)
| ~ v3_ordinal1(U_4182) )
& ! [U_4181] :
( k1_funct_1(sK427,k1_ordinal1(U_4181)) = f3_s5_ordinal2(U_4181,k1_funct_1(sK427,U_4181))
| ~ r2_hidden(k1_ordinal1(U_4181),f1_s5_ordinal2)
| ~ v3_ordinal1(U_4181) )
& ( k1_funct_1(sK427,k1_xboole_0) = f2_s5_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s5_ordinal2) )
& k1_relat_1(sK427) = f1_s5_ordinal2
& v5_ordinal1(sK427)
& v1_funct_1(sK427)
& v1_relat_1(sK427) ),
inference(definitional_conversion,[status(esa)],[f_1500_3]) ).
cnf(f_1500_5,plain,
v1_relat_1(sK427),
inference(clausify,[status(thm)],[f_1500_4]) ).
cnf(f_1500_6,plain,
v1_funct_1(sK427),
inference(clausify,[status(thm)],[f_1500_4]) ).
cnf(f_1500_7,plain,
v5_ordinal1(sK427),
inference(clausify,[status(thm)],[f_1500_4]) ).
cnf(f_1500_8,plain,
k1_relat_1(sK427) = f1_s5_ordinal2,
inference(clausify,[status(thm)],[f_1500_4]) ).
cnf(f_1500_9,plain,
( k1_funct_1(sK427,k1_xboole_0) = f2_s5_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s5_ordinal2) ),
inference(clausify,[status(thm)],[f_1500_4]) ).
cnf(f_1500_10,plain,
( k1_funct_1(sK427,k1_ordinal1(U_4181)) = f3_s5_ordinal2(U_4181,k1_funct_1(sK427,U_4181))
| ~ r2_hidden(k1_ordinal1(U_4181),f1_s5_ordinal2)
| ~ v3_ordinal1(U_4181) ),
inference(clausify,[status(thm)],[f_1500_4]) ).
cnf(f_1500_11,plain,
( k1_funct_1(sK427,U_4182) = f4_s5_ordinal2(U_4182,k2_ordinal1(sK427,U_4182))
| U_4182 = k1_xboole_0
| ~ v4_ordinal1(U_4182)
| ~ r2_hidden(U_4182,f1_s5_ordinal2)
| ~ v3_ordinal1(U_4182) ),
inference(clausify,[status(thm)],[f_1500_4]) ).
fof(f_1501_1,plain,
( ! [A] :
( k1_funct_1(f1_s6_ordinal2,A) = f2_s6_ordinal2(A)
| ~ r2_hidden(A,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f1_s6_ordinal2,A) != f6_s6_ordinal2(A,k2_ordinal1(f1_s6_ordinal2,A))
& A != k1_xboole_0
& v4_ordinal1(A)
& r2_hidden(A,f3_s6_ordinal2)
& v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(A)) != f5_s6_ordinal2(A,k1_funct_1(f1_s6_ordinal2,A))
& r2_hidden(k1_ordinal1(A),f3_s6_ordinal2)
& v3_ordinal1(A) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ? [A] :
( ? [B] :
( ( B != f2_s6_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f6_s6_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f5_s6_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f6_s6_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f5_s6_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f2_s6_ordinal2(A) ) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s6_ordinal2]) ).
fof(f_1501_2,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ? [U_4191] :
( ? [U_4190] :
( ( U_4190 != f2_s6_ordinal2(U_4191)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(U_4191))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(U_4191))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(U_4191)
& U_4190 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ( ! [U_4186] :
( ? [U_4185] :
( k1_funct_1(U_4186,U_4185) != f6_s6_ordinal2(U_4185,k2_ordinal1(U_4186,U_4185))
& U_4185 != k1_xboole_0
& v4_ordinal1(U_4185)
& r2_hidden(U_4185,k1_ordinal1(U_4191))
& v3_ordinal1(U_4185) )
| ? [U_4184] :
( k1_funct_1(U_4186,k1_ordinal1(U_4184)) != f5_s6_ordinal2(U_4184,k1_funct_1(U_4186,U_4184))
& r2_hidden(k1_ordinal1(U_4184),k1_ordinal1(U_4191))
& v3_ordinal1(U_4184) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(U_4191)
| U_4190 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& U_4190 = f2_s6_ordinal2(U_4191) ) )
& v3_ordinal1(U_4191) ) ),
inference(variable_rename,[status(thm)],[f_1501_1]) ).
fof(f_1501_3,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ? [U_4191] :
( ( ? [U_4196] :
( U_4196 != f2_s6_ordinal2(U_4191)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(U_4191))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(U_4191))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(U_4191)
& U_4196 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ? [U_4195] :
( ! [U_4186] :
( ? [U_4185] :
( k1_funct_1(U_4186,U_4185) != f6_s6_ordinal2(U_4185,k2_ordinal1(U_4186,U_4185))
& U_4185 != k1_xboole_0
& v4_ordinal1(U_4185)
& r2_hidden(U_4185,k1_ordinal1(U_4191))
& v3_ordinal1(U_4185) )
| ? [U_4184] :
( k1_funct_1(U_4186,k1_ordinal1(U_4184)) != f5_s6_ordinal2(U_4184,k1_funct_1(U_4186,U_4184))
& r2_hidden(k1_ordinal1(U_4184),k1_ordinal1(U_4191))
& v3_ordinal1(U_4184) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(U_4191)
| U_4195 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& U_4195 = f2_s6_ordinal2(U_4191) ) )
& v3_ordinal1(U_4191) ) ),
inference(miniscope,[status(thm)],[f_1501_2]) ).
fof(f_1501_4,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ? [U_4196] :
( U_4196 != f2_s6_ordinal2(sK428)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(sK428)
& U_4196 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ? [U_4195] :
( ! [U_4186] :
( ? [U_4185] :
( k1_funct_1(U_4186,U_4185) != f6_s6_ordinal2(U_4185,k2_ordinal1(U_4186,U_4185))
& U_4185 != k1_xboole_0
& v4_ordinal1(U_4185)
& r2_hidden(U_4185,k1_ordinal1(sK428))
& v3_ordinal1(U_4185) )
| ? [U_4184] :
( k1_funct_1(U_4186,k1_ordinal1(U_4184)) != f5_s6_ordinal2(U_4184,k1_funct_1(U_4186,U_4184))
& r2_hidden(k1_ordinal1(U_4184),k1_ordinal1(sK428))
& v3_ordinal1(U_4184) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| U_4195 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& U_4195 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK428]),skolemize(U_4191,sK428)],[f_1501_3]) ).
fof(f_1501_5,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ? [U_4196] :
( U_4196 != f2_s6_ordinal2(sK428)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(sK428)
& U_4196 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ( ! [U_4186] :
( ? [U_4185] :
( k1_funct_1(U_4186,U_4185) != f6_s6_ordinal2(U_4185,k2_ordinal1(U_4186,U_4185))
& U_4185 != k1_xboole_0
& v4_ordinal1(U_4185)
& r2_hidden(U_4185,k1_ordinal1(sK428))
& v3_ordinal1(U_4185) )
| ? [U_4184] :
( k1_funct_1(U_4186,k1_ordinal1(U_4184)) != f5_s6_ordinal2(U_4184,k1_funct_1(U_4186,U_4184))
& r2_hidden(k1_ordinal1(U_4184),k1_ordinal1(sK428))
& v3_ordinal1(U_4184) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK429]),skolemize(U_4195,sK429)],[f_1501_4]) ).
fof(f_1501_6,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ? [U_4196] :
( U_4196 != f2_s6_ordinal2(sK428)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(sK428)
& U_4196 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ( ! [U_4186] :
( ? [U_4185] :
( k1_funct_1(U_4186,U_4185) != f6_s6_ordinal2(U_4185,k2_ordinal1(U_4186,U_4185))
& U_4185 != k1_xboole_0
& v4_ordinal1(U_4185)
& r2_hidden(U_4185,k1_ordinal1(sK428))
& v3_ordinal1(U_4185) )
| ( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
& r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
& v3_ordinal1(sK430(U_4186)) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK430]),skolemize(U_4184,sK430(U_4186))],[f_1501_5]) ).
fof(f_1501_7,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ? [U_4196] :
( U_4196 != f2_s6_ordinal2(sK428)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(sK428)
& U_4196 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ( ! [U_4186] :
( ( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
& sK431(U_4186) != k1_xboole_0
& v4_ordinal1(sK431(U_4186))
& r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
& v3_ordinal1(sK431(U_4186)) )
| ( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
& r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
& v3_ordinal1(sK430(U_4186)) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK431]),skolemize(U_4185,sK431(U_4186))],[f_1501_6]) ).
fof(f_1501_8,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ( sK432 != f2_s6_ordinal2(sK428)
& ? [U_4189] :
( ! [U_4188] :
( k1_funct_1(U_4189,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(U_4189,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(U_4189,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(U_4189,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(U_4189,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(U_4189) = k1_ordinal1(sK428)
& sK432 = k1_ordinal2(U_4189)
& v5_ordinal1(U_4189)
& v1_funct_1(U_4189)
& v1_relat_1(U_4189) ) )
| ( ! [U_4186] :
( ( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
& sK431(U_4186) != k1_xboole_0
& v4_ordinal1(sK431(U_4186))
& r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
& v3_ordinal1(sK431(U_4186)) )
| ( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
& r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
& v3_ordinal1(sK430(U_4186)) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK432]),skolemize(U_4196,sK432)],[f_1501_7]) ).
fof(f_1501_9,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ? [U_4192] :
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(U_4192)) != f5_s6_ordinal2(U_4192,k1_funct_1(f1_s6_ordinal2,U_4192))
& r2_hidden(k1_ordinal1(U_4192),f3_s6_ordinal2)
& v3_ordinal1(U_4192) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ( sK432 != f2_s6_ordinal2(sK428)
& ! [U_4188] :
( k1_funct_1(sK433,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(sK433,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(sK433,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(sK433,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(sK433,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(sK433) = k1_ordinal1(sK428)
& sK432 = k1_ordinal2(sK433)
& v5_ordinal1(sK433)
& v1_funct_1(sK433)
& v1_relat_1(sK433) )
| ( ! [U_4186] :
( ( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
& sK431(U_4186) != k1_xboole_0
& v4_ordinal1(sK431(U_4186))
& r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
& v3_ordinal1(sK431(U_4186)) )
| ( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
& r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
& v3_ordinal1(sK430(U_4186)) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK433]),skolemize(U_4189,sK433)],[f_1501_8]) ).
fof(f_1501_10,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ? [U_4193] :
( k1_funct_1(f1_s6_ordinal2,U_4193) != f6_s6_ordinal2(U_4193,k2_ordinal1(f1_s6_ordinal2,U_4193))
& U_4193 != k1_xboole_0
& v4_ordinal1(U_4193)
& r2_hidden(U_4193,f3_s6_ordinal2)
& v3_ordinal1(U_4193) )
| ( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(sK434)) != f5_s6_ordinal2(sK434,k1_funct_1(f1_s6_ordinal2,sK434))
& r2_hidden(k1_ordinal1(sK434),f3_s6_ordinal2)
& v3_ordinal1(sK434) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ( sK432 != f2_s6_ordinal2(sK428)
& ! [U_4188] :
( k1_funct_1(sK433,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(sK433,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(sK433,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(sK433,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(sK433,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(sK433) = k1_ordinal1(sK428)
& sK432 = k1_ordinal2(sK433)
& v5_ordinal1(sK433)
& v1_funct_1(sK433)
& v1_relat_1(sK433) )
| ( ! [U_4186] :
( ( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
& sK431(U_4186) != k1_xboole_0
& v4_ordinal1(sK431(U_4186))
& r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
& v3_ordinal1(sK431(U_4186)) )
| ( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
& r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
& v3_ordinal1(sK430(U_4186)) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK434]),skolemize(U_4192,sK434)],[f_1501_9]) ).
fof(f_1501_11,plain,
( ! [U_4194] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194) )
| ( k1_funct_1(f1_s6_ordinal2,sK435) != f6_s6_ordinal2(sK435,k2_ordinal1(f1_s6_ordinal2,sK435))
& sK435 != k1_xboole_0
& v4_ordinal1(sK435)
& r2_hidden(sK435,f3_s6_ordinal2)
& v3_ordinal1(sK435) )
| ( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(sK434)) != f5_s6_ordinal2(sK434,k1_funct_1(f1_s6_ordinal2,sK434))
& r2_hidden(k1_ordinal1(sK434),f3_s6_ordinal2)
& v3_ordinal1(sK434) )
| ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
& r2_hidden(k1_xboole_0,f3_s6_ordinal2) )
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| ( ( ( sK432 != f2_s6_ordinal2(sK428)
& ! [U_4188] :
( k1_funct_1(sK433,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(sK433,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188) )
& ! [U_4187] :
( k1_funct_1(sK433,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(sK433,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187) )
& k1_funct_1(sK433,k1_xboole_0) = f4_s6_ordinal2
& k1_relat_1(sK433) = k1_ordinal1(sK428)
& sK432 = k1_ordinal2(sK433)
& v5_ordinal1(sK433)
& v1_funct_1(sK433)
& v1_relat_1(sK433) )
| ( ! [U_4186] :
( ( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
& sK431(U_4186) != k1_xboole_0
& v4_ordinal1(sK431(U_4186))
& r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
& v3_ordinal1(sK431(U_4186)) )
| ( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
& r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
& v3_ordinal1(sK430(U_4186)) )
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186) )
& sK429 = f2_s6_ordinal2(sK428) ) )
& v3_ordinal1(sK428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK435]),skolemize(U_4193,sK435)],[f_1501_10]) ).
fof(f_1501_12,plain,
( ( k1_funct_1(f1_s6_ordinal2,sK435) != f6_s6_ordinal2(sK435,k2_ordinal1(f1_s6_ordinal2,sK435))
| ~ sP649 )
& ( sK435 != k1_xboole_0
| ~ sP649 )
& ( v4_ordinal1(sK435)
| ~ sP649 )
& ( r2_hidden(sK435,f3_s6_ordinal2)
| ~ sP649 )
& ( v3_ordinal1(sK435)
| ~ sP649 )
& ( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(sK434)) != f5_s6_ordinal2(sK434,k1_funct_1(f1_s6_ordinal2,sK434))
| ~ sP648 )
& ( r2_hidden(k1_ordinal1(sK434),f3_s6_ordinal2)
| ~ sP648 )
& ( v3_ordinal1(sK434)
| ~ sP648 )
& ( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
| ~ sP647 )
& ( r2_hidden(k1_xboole_0,f3_s6_ordinal2)
| ~ sP647 )
& ! [U_4187,U_4188] :
( sK432 != f2_s6_ordinal2(sK428)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( k1_funct_1(sK433,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(sK433,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( k1_funct_1(sK433,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(sK433,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( k1_funct_1(sK433,k1_xboole_0) = f4_s6_ordinal2
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( k1_relat_1(sK433) = k1_ordinal1(sK428)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( sK432 = k1_ordinal2(sK433)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( v5_ordinal1(sK433)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( v1_funct_1(sK433)
| ~ sP645(U_4187,U_4188) )
& ! [U_4187,U_4188] :
( v1_relat_1(sK433)
| ~ sP645(U_4187,U_4188) )
& ! [U_4186] :
( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
| ~ sP643(U_4186) )
& ! [U_4186] :
( sK431(U_4186) != k1_xboole_0
| ~ sP643(U_4186) )
& ! [U_4186] :
( v4_ordinal1(sK431(U_4186))
| ~ sP643(U_4186) )
& ! [U_4186] :
( r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
| ~ sP643(U_4186) )
& ! [U_4186] :
( v3_ordinal1(sK431(U_4186))
| ~ sP643(U_4186) )
& ! [U_4186] :
( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
| ~ sP642(U_4186) )
& ! [U_4186] :
( r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
| ~ sP642(U_4186) )
& ! [U_4186] :
( v3_ordinal1(sK430(U_4186))
| ~ sP642(U_4186) )
& ! [U_4186] :
( sP643(U_4186)
| sP642(U_4186)
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186)
| ~ sP644(U_4186) )
& ! [U_4186] :
( sK429 = f2_s6_ordinal2(sK428)
| ~ sP644(U_4186) )
& ! [U_4187,U_4186,U_4188] :
( sP645(U_4187,U_4188)
| sP644(U_4186)
| ~ sP646(U_4187,U_4186,U_4188) )
& ! [U_4187,U_4186,U_4188] :
( v3_ordinal1(sK428)
| ~ sP646(U_4187,U_4186,U_4188) )
& ! [U_4194,U_4187,U_4186,U_4188] :
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194)
| sP649
| sP648
| sP647
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| sP646(U_4187,U_4186,U_4188) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP642,sP643,sP644,sP645,sP646,sP647,sP648,sP649])],[f_1501_11]) ).
cnf(f_1501_13,plain,
( k1_funct_1(f1_s6_ordinal2,U_4194) = f2_s6_ordinal2(U_4194)
| ~ r2_hidden(U_4194,k1_relat_1(f1_s6_ordinal2))
| ~ v3_ordinal1(U_4194)
| sP649
| sP648
| sP647
| k1_relat_1(f1_s6_ordinal2) != f3_s6_ordinal2
| sP646(U_4187,U_4186,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_14,plain,
( v3_ordinal1(sK428)
| ~ sP646(U_4187,U_4186,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_15,plain,
( sP645(U_4187,U_4188)
| sP644(U_4186)
| ~ sP646(U_4187,U_4186,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_16,plain,
( sK429 = f2_s6_ordinal2(sK428)
| ~ sP644(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_17,plain,
( sP643(U_4186)
| sP642(U_4186)
| k1_funct_1(U_4186,k1_xboole_0) != f4_s6_ordinal2
| k1_relat_1(U_4186) != k1_ordinal1(sK428)
| sK429 != k1_ordinal2(U_4186)
| ~ v5_ordinal1(U_4186)
| ~ v1_funct_1(U_4186)
| ~ v1_relat_1(U_4186)
| ~ sP644(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_18,plain,
( v3_ordinal1(sK430(U_4186))
| ~ sP642(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_19,plain,
( r2_hidden(k1_ordinal1(sK430(U_4186)),k1_ordinal1(sK428))
| ~ sP642(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_20,plain,
( k1_funct_1(U_4186,k1_ordinal1(sK430(U_4186))) != f5_s6_ordinal2(sK430(U_4186),k1_funct_1(U_4186,sK430(U_4186)))
| ~ sP642(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_21,plain,
( v3_ordinal1(sK431(U_4186))
| ~ sP643(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_22,plain,
( r2_hidden(sK431(U_4186),k1_ordinal1(sK428))
| ~ sP643(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_23,plain,
( v4_ordinal1(sK431(U_4186))
| ~ sP643(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_24,plain,
( sK431(U_4186) != k1_xboole_0
| ~ sP643(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_25,plain,
( k1_funct_1(U_4186,sK431(U_4186)) != f6_s6_ordinal2(sK431(U_4186),k2_ordinal1(U_4186,sK431(U_4186)))
| ~ sP643(U_4186) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_26,plain,
( v1_relat_1(sK433)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_27,plain,
( v1_funct_1(sK433)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_28,plain,
( v5_ordinal1(sK433)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_29,plain,
( sK432 = k1_ordinal2(sK433)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_30,plain,
( k1_relat_1(sK433) = k1_ordinal1(sK428)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_31,plain,
( k1_funct_1(sK433,k1_xboole_0) = f4_s6_ordinal2
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_32,plain,
( k1_funct_1(sK433,k1_ordinal1(U_4187)) = f5_s6_ordinal2(U_4187,k1_funct_1(sK433,U_4187))
| ~ r2_hidden(k1_ordinal1(U_4187),k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4187)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_33,plain,
( k1_funct_1(sK433,U_4188) = f6_s6_ordinal2(U_4188,k2_ordinal1(sK433,U_4188))
| U_4188 = k1_xboole_0
| ~ v4_ordinal1(U_4188)
| ~ r2_hidden(U_4188,k1_ordinal1(sK428))
| ~ v3_ordinal1(U_4188)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_34,plain,
( sK432 != f2_s6_ordinal2(sK428)
| ~ sP645(U_4187,U_4188) ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_35,plain,
( r2_hidden(k1_xboole_0,f3_s6_ordinal2)
| ~ sP647 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_36,plain,
( k1_funct_1(f1_s6_ordinal2,k1_xboole_0) != f4_s6_ordinal2
| ~ sP647 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_37,plain,
( v3_ordinal1(sK434)
| ~ sP648 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_38,plain,
( r2_hidden(k1_ordinal1(sK434),f3_s6_ordinal2)
| ~ sP648 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_39,plain,
( k1_funct_1(f1_s6_ordinal2,k1_ordinal1(sK434)) != f5_s6_ordinal2(sK434,k1_funct_1(f1_s6_ordinal2,sK434))
| ~ sP648 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_40,plain,
( v3_ordinal1(sK435)
| ~ sP649 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_41,plain,
( r2_hidden(sK435,f3_s6_ordinal2)
| ~ sP649 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_42,plain,
( v4_ordinal1(sK435)
| ~ sP649 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_43,plain,
( sK435 != k1_xboole_0
| ~ sP649 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
cnf(f_1501_44,plain,
( k1_funct_1(f1_s6_ordinal2,sK435) != f6_s6_ordinal2(sK435,k2_ordinal1(f1_s6_ordinal2,sK435))
| ~ sP649 ),
inference(clausify,[status(thm)],[f_1501_12]) ).
fof(f_1502_1,plain,
( ! [A,B] :
( A = B
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f4_s7_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f3_s7_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(C) != k1_ordinal1(f1_s7_ordinal2)
| B != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f4_s7_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f3_s7_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(C) != k1_ordinal1(f1_s7_ordinal2)
| A != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ? [A,B] :
( ! [C] :
( k1_funct_1(B,C) = f4_s7_ordinal2(C,k2_ordinal1(B,C))
| C = k1_xboole_0
| ~ v4_ordinal1(C)
| ~ r2_hidden(C,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(C) )
& ! [C] :
( k1_funct_1(B,k1_ordinal1(C)) = f3_s7_ordinal2(C,k1_funct_1(B,C))
| ~ r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(C) )
& k1_funct_1(B,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(B) = k1_ordinal1(f1_s7_ordinal2)
& A = k1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) ) ),
inference(fof_nnf,[status(thm)],[s7_ordinal2]) ).
fof(f_1502_2,plain,
( ! [U_4208,U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ? [U_4204] :
( k1_funct_1(U_4206,k1_ordinal1(U_4204)) != f3_s7_ordinal2(U_4204,k1_funct_1(U_4206,U_4204))
& r2_hidden(k1_ordinal1(U_4204),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4204) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) )
| ! [U_4203] :
( ? [U_4202] :
( k1_funct_1(U_4203,U_4202) != f4_s7_ordinal2(U_4202,k2_ordinal1(U_4203,U_4202))
& U_4202 != k1_xboole_0
& v4_ordinal1(U_4202)
& r2_hidden(U_4202,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4202) )
| ? [U_4201] :
( k1_funct_1(U_4203,k1_ordinal1(U_4201)) != f3_s7_ordinal2(U_4201,k1_funct_1(U_4203,U_4201))
& r2_hidden(k1_ordinal1(U_4201),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4201) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ? [U_4200,U_4199] :
( ! [U_4198] :
( k1_funct_1(U_4199,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(U_4199,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(U_4199,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(U_4199,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(U_4199,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(U_4199) = k1_ordinal1(f1_s7_ordinal2)
& U_4200 = k1_ordinal2(U_4199)
& v5_ordinal1(U_4199)
& v1_funct_1(U_4199)
& v1_relat_1(U_4199) ) ),
inference(variable_rename,[status(thm)],[f_1502_1]) ).
fof(f_1502_3,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ? [U_4204] :
( k1_funct_1(U_4206,k1_ordinal1(U_4204)) != f3_s7_ordinal2(U_4204,k1_funct_1(U_4206,U_4204))
& r2_hidden(k1_ordinal1(U_4204),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4204) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ? [U_4202] :
( k1_funct_1(U_4203,U_4202) != f4_s7_ordinal2(U_4202,k2_ordinal1(U_4203,U_4202))
& U_4202 != k1_xboole_0
& v4_ordinal1(U_4202)
& r2_hidden(U_4202,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4202) )
| ? [U_4201] :
( k1_funct_1(U_4203,k1_ordinal1(U_4201)) != f3_s7_ordinal2(U_4201,k1_funct_1(U_4203,U_4201))
& r2_hidden(k1_ordinal1(U_4201),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4201) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ? [U_4200,U_4199] :
( ! [U_4198] :
( k1_funct_1(U_4199,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(U_4199,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(U_4199,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(U_4199,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(U_4199,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(U_4199) = k1_ordinal1(f1_s7_ordinal2)
& U_4200 = k1_ordinal2(U_4199)
& v5_ordinal1(U_4199)
& v1_funct_1(U_4199)
& v1_relat_1(U_4199) ) ),
inference(miniscope,[status(thm)],[f_1502_2]) ).
fof(f_1502_4,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ? [U_4204] :
( k1_funct_1(U_4206,k1_ordinal1(U_4204)) != f3_s7_ordinal2(U_4204,k1_funct_1(U_4206,U_4204))
& r2_hidden(k1_ordinal1(U_4204),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4204) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ? [U_4202] :
( k1_funct_1(U_4203,U_4202) != f4_s7_ordinal2(U_4202,k2_ordinal1(U_4203,U_4202))
& U_4202 != k1_xboole_0
& v4_ordinal1(U_4202)
& r2_hidden(U_4202,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4202) )
| ? [U_4201] :
( k1_funct_1(U_4203,k1_ordinal1(U_4201)) != f3_s7_ordinal2(U_4201,k1_funct_1(U_4203,U_4201))
& r2_hidden(k1_ordinal1(U_4201),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4201) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ? [U_4199] :
( ! [U_4198] :
( k1_funct_1(U_4199,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(U_4199,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(U_4199,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(U_4199,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(U_4199,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(U_4199) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(U_4199)
& v5_ordinal1(U_4199)
& v1_funct_1(U_4199)
& v1_relat_1(U_4199) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK436]),skolemize(U_4200,sK436)],[f_1502_3]) ).
fof(f_1502_5,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ? [U_4204] :
( k1_funct_1(U_4206,k1_ordinal1(U_4204)) != f3_s7_ordinal2(U_4204,k1_funct_1(U_4206,U_4204))
& r2_hidden(k1_ordinal1(U_4204),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4204) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ? [U_4202] :
( k1_funct_1(U_4203,U_4202) != f4_s7_ordinal2(U_4202,k2_ordinal1(U_4203,U_4202))
& U_4202 != k1_xboole_0
& v4_ordinal1(U_4202)
& r2_hidden(U_4202,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4202) )
| ? [U_4201] :
( k1_funct_1(U_4203,k1_ordinal1(U_4201)) != f3_s7_ordinal2(U_4201,k1_funct_1(U_4203,U_4201))
& r2_hidden(k1_ordinal1(U_4201),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4201) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ! [U_4198] :
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(sK437)
& v5_ordinal1(sK437)
& v1_funct_1(sK437)
& v1_relat_1(sK437) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK437]),skolemize(U_4199,sK437)],[f_1502_4]) ).
fof(f_1502_6,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ? [U_4204] :
( k1_funct_1(U_4206,k1_ordinal1(U_4204)) != f3_s7_ordinal2(U_4204,k1_funct_1(U_4206,U_4204))
& r2_hidden(k1_ordinal1(U_4204),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4204) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ? [U_4202] :
( k1_funct_1(U_4203,U_4202) != f4_s7_ordinal2(U_4202,k2_ordinal1(U_4203,U_4202))
& U_4202 != k1_xboole_0
& v4_ordinal1(U_4202)
& r2_hidden(U_4202,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4202) )
| ( k1_funct_1(U_4203,k1_ordinal1(sK438(U_4208,U_4203))) != f3_s7_ordinal2(sK438(U_4208,U_4203),k1_funct_1(U_4203,sK438(U_4208,U_4203)))
& r2_hidden(k1_ordinal1(sK438(U_4208,U_4203)),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK438(U_4208,U_4203)) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ! [U_4198] :
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(sK437)
& v5_ordinal1(sK437)
& v1_funct_1(sK437)
& v1_relat_1(sK437) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK438]),skolemize(U_4201,sK438(U_4208,U_4203))],[f_1502_5]) ).
fof(f_1502_7,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ? [U_4204] :
( k1_funct_1(U_4206,k1_ordinal1(U_4204)) != f3_s7_ordinal2(U_4204,k1_funct_1(U_4206,U_4204))
& r2_hidden(k1_ordinal1(U_4204),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4204) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ( k1_funct_1(U_4203,sK439(U_4208,U_4203)) != f4_s7_ordinal2(sK439(U_4208,U_4203),k2_ordinal1(U_4203,sK439(U_4208,U_4203)))
& sK439(U_4208,U_4203) != k1_xboole_0
& v4_ordinal1(sK439(U_4208,U_4203))
& r2_hidden(sK439(U_4208,U_4203),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK439(U_4208,U_4203)) )
| ( k1_funct_1(U_4203,k1_ordinal1(sK438(U_4208,U_4203))) != f3_s7_ordinal2(sK438(U_4208,U_4203),k1_funct_1(U_4203,sK438(U_4208,U_4203)))
& r2_hidden(k1_ordinal1(sK438(U_4208,U_4203)),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK438(U_4208,U_4203)) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ! [U_4198] :
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(sK437)
& v5_ordinal1(sK437)
& v1_funct_1(sK437)
& v1_relat_1(sK437) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK439]),skolemize(U_4202,sK439(U_4208,U_4203))],[f_1502_6]) ).
fof(f_1502_8,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ? [U_4205] :
( k1_funct_1(U_4206,U_4205) != f4_s7_ordinal2(U_4205,k2_ordinal1(U_4206,U_4205))
& U_4205 != k1_xboole_0
& v4_ordinal1(U_4205)
& r2_hidden(U_4205,k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(U_4205) )
| ( k1_funct_1(U_4206,k1_ordinal1(sK440(U_4208,U_4207,U_4206))) != f3_s7_ordinal2(sK440(U_4208,U_4207,U_4206),k1_funct_1(U_4206,sK440(U_4208,U_4207,U_4206)))
& r2_hidden(k1_ordinal1(sK440(U_4208,U_4207,U_4206)),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK440(U_4208,U_4207,U_4206)) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ( k1_funct_1(U_4203,sK439(U_4208,U_4203)) != f4_s7_ordinal2(sK439(U_4208,U_4203),k2_ordinal1(U_4203,sK439(U_4208,U_4203)))
& sK439(U_4208,U_4203) != k1_xboole_0
& v4_ordinal1(sK439(U_4208,U_4203))
& r2_hidden(sK439(U_4208,U_4203),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK439(U_4208,U_4203)) )
| ( k1_funct_1(U_4203,k1_ordinal1(sK438(U_4208,U_4203))) != f3_s7_ordinal2(sK438(U_4208,U_4203),k1_funct_1(U_4203,sK438(U_4208,U_4203)))
& r2_hidden(k1_ordinal1(sK438(U_4208,U_4203)),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK438(U_4208,U_4203)) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ! [U_4198] :
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(sK437)
& v5_ordinal1(sK437)
& v1_funct_1(sK437)
& v1_relat_1(sK437) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK440]),skolemize(U_4204,sK440(U_4208,U_4207,U_4206))],[f_1502_7]) ).
fof(f_1502_9,plain,
( ! [U_4208] :
( ! [U_4207] :
( U_4208 = U_4207
| ! [U_4206] :
( ( k1_funct_1(U_4206,sK441(U_4208,U_4207,U_4206)) != f4_s7_ordinal2(sK441(U_4208,U_4207,U_4206),k2_ordinal1(U_4206,sK441(U_4208,U_4207,U_4206)))
& sK441(U_4208,U_4207,U_4206) != k1_xboole_0
& v4_ordinal1(sK441(U_4208,U_4207,U_4206))
& r2_hidden(sK441(U_4208,U_4207,U_4206),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK441(U_4208,U_4207,U_4206)) )
| ( k1_funct_1(U_4206,k1_ordinal1(sK440(U_4208,U_4207,U_4206))) != f3_s7_ordinal2(sK440(U_4208,U_4207,U_4206),k1_funct_1(U_4206,sK440(U_4208,U_4207,U_4206)))
& r2_hidden(k1_ordinal1(sK440(U_4208,U_4207,U_4206)),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK440(U_4208,U_4207,U_4206)) )
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206) ) )
| ! [U_4203] :
( ( k1_funct_1(U_4203,sK439(U_4208,U_4203)) != f4_s7_ordinal2(sK439(U_4208,U_4203),k2_ordinal1(U_4203,sK439(U_4208,U_4203)))
& sK439(U_4208,U_4203) != k1_xboole_0
& v4_ordinal1(sK439(U_4208,U_4203))
& r2_hidden(sK439(U_4208,U_4203),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK439(U_4208,U_4203)) )
| ( k1_funct_1(U_4203,k1_ordinal1(sK438(U_4208,U_4203))) != f3_s7_ordinal2(sK438(U_4208,U_4203),k1_funct_1(U_4203,sK438(U_4208,U_4203)))
& r2_hidden(k1_ordinal1(sK438(U_4208,U_4203)),k1_ordinal1(f1_s7_ordinal2))
& v3_ordinal1(sK438(U_4208,U_4203)) )
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ) )
& ! [U_4198] :
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(sK437)
& v5_ordinal1(sK437)
& v1_funct_1(sK437)
& v1_relat_1(sK437) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK441]),skolemize(U_4205,sK441(U_4208,U_4207,U_4206))],[f_1502_8]) ).
fof(f_1502_10,plain,
( ! [U_4207,U_4206,U_4208] :
( k1_funct_1(U_4206,sK441(U_4208,U_4207,U_4206)) != f4_s7_ordinal2(sK441(U_4208,U_4207,U_4206),k2_ordinal1(U_4206,sK441(U_4208,U_4207,U_4206)))
| ~ sP653(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( sK441(U_4208,U_4207,U_4206) != k1_xboole_0
| ~ sP653(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( v4_ordinal1(sK441(U_4208,U_4207,U_4206))
| ~ sP653(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( r2_hidden(sK441(U_4208,U_4207,U_4206),k1_ordinal1(f1_s7_ordinal2))
| ~ sP653(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( v3_ordinal1(sK441(U_4208,U_4207,U_4206))
| ~ sP653(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( k1_funct_1(U_4206,k1_ordinal1(sK440(U_4208,U_4207,U_4206))) != f3_s7_ordinal2(sK440(U_4208,U_4207,U_4206),k1_funct_1(U_4206,sK440(U_4208,U_4207,U_4206)))
| ~ sP652(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( r2_hidden(k1_ordinal1(sK440(U_4208,U_4207,U_4206)),k1_ordinal1(f1_s7_ordinal2))
| ~ sP652(U_4207,U_4206,U_4208) )
& ! [U_4207,U_4206,U_4208] :
( v3_ordinal1(sK440(U_4208,U_4207,U_4206))
| ~ sP652(U_4207,U_4206,U_4208) )
& ! [U_4203,U_4208] :
( k1_funct_1(U_4203,sK439(U_4208,U_4203)) != f4_s7_ordinal2(sK439(U_4208,U_4203),k2_ordinal1(U_4203,sK439(U_4208,U_4203)))
| ~ sP651(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( sK439(U_4208,U_4203) != k1_xboole_0
| ~ sP651(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( v4_ordinal1(sK439(U_4208,U_4203))
| ~ sP651(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( r2_hidden(sK439(U_4208,U_4203),k1_ordinal1(f1_s7_ordinal2))
| ~ sP651(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( v3_ordinal1(sK439(U_4208,U_4203))
| ~ sP651(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( k1_funct_1(U_4203,k1_ordinal1(sK438(U_4208,U_4203))) != f3_s7_ordinal2(sK438(U_4208,U_4203),k1_funct_1(U_4203,sK438(U_4208,U_4203)))
| ~ sP650(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( r2_hidden(k1_ordinal1(sK438(U_4208,U_4203)),k1_ordinal1(f1_s7_ordinal2))
| ~ sP650(U_4203,U_4208) )
& ! [U_4203,U_4208] :
( v3_ordinal1(sK438(U_4208,U_4203))
| ~ sP650(U_4203,U_4208) )
& ! [U_4207,U_4203,U_4206,U_4208] :
( U_4208 = U_4207
| sP653(U_4207,U_4206,U_4208)
| sP652(U_4207,U_4206,U_4208)
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206)
| sP651(U_4203,U_4208)
| sP650(U_4203,U_4208)
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) )
& ! [U_4198] :
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) )
& ! [U_4197] :
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) )
& k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2
& k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2)
& sK436 = k1_ordinal2(sK437)
& v5_ordinal1(sK437)
& v1_funct_1(sK437)
& v1_relat_1(sK437) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP650,sP651,sP652,sP653])],[f_1502_9]) ).
cnf(f_1502_11,plain,
v1_relat_1(sK437),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_12,plain,
v1_funct_1(sK437),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_13,plain,
v5_ordinal1(sK437),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_14,plain,
sK436 = k1_ordinal2(sK437),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_15,plain,
k1_relat_1(sK437) = k1_ordinal1(f1_s7_ordinal2),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_16,plain,
k1_funct_1(sK437,k1_xboole_0) = f2_s7_ordinal2,
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_17,plain,
( k1_funct_1(sK437,k1_ordinal1(U_4197)) = f3_s7_ordinal2(U_4197,k1_funct_1(sK437,U_4197))
| ~ r2_hidden(k1_ordinal1(U_4197),k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4197) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_18,plain,
( k1_funct_1(sK437,U_4198) = f4_s7_ordinal2(U_4198,k2_ordinal1(sK437,U_4198))
| U_4198 = k1_xboole_0
| ~ v4_ordinal1(U_4198)
| ~ r2_hidden(U_4198,k1_ordinal1(f1_s7_ordinal2))
| ~ v3_ordinal1(U_4198) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_19,plain,
( U_4208 = U_4207
| sP653(U_4207,U_4206,U_4208)
| sP652(U_4207,U_4206,U_4208)
| k1_funct_1(U_4206,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4206) != k1_ordinal1(f1_s7_ordinal2)
| U_4207 != k1_ordinal2(U_4206)
| ~ v5_ordinal1(U_4206)
| ~ v1_funct_1(U_4206)
| ~ v1_relat_1(U_4206)
| sP651(U_4203,U_4208)
| sP650(U_4203,U_4208)
| k1_funct_1(U_4203,k1_xboole_0) != f2_s7_ordinal2
| k1_relat_1(U_4203) != k1_ordinal1(f1_s7_ordinal2)
| U_4208 != k1_ordinal2(U_4203)
| ~ v5_ordinal1(U_4203)
| ~ v1_funct_1(U_4203)
| ~ v1_relat_1(U_4203) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_20,plain,
( v3_ordinal1(sK438(U_4208,U_4203))
| ~ sP650(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_21,plain,
( r2_hidden(k1_ordinal1(sK438(U_4208,U_4203)),k1_ordinal1(f1_s7_ordinal2))
| ~ sP650(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_22,plain,
( k1_funct_1(U_4203,k1_ordinal1(sK438(U_4208,U_4203))) != f3_s7_ordinal2(sK438(U_4208,U_4203),k1_funct_1(U_4203,sK438(U_4208,U_4203)))
| ~ sP650(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_23,plain,
( v3_ordinal1(sK439(U_4208,U_4203))
| ~ sP651(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_24,plain,
( r2_hidden(sK439(U_4208,U_4203),k1_ordinal1(f1_s7_ordinal2))
| ~ sP651(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_25,plain,
( v4_ordinal1(sK439(U_4208,U_4203))
| ~ sP651(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_26,plain,
( sK439(U_4208,U_4203) != k1_xboole_0
| ~ sP651(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_27,plain,
( k1_funct_1(U_4203,sK439(U_4208,U_4203)) != f4_s7_ordinal2(sK439(U_4208,U_4203),k2_ordinal1(U_4203,sK439(U_4208,U_4203)))
| ~ sP651(U_4203,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_28,plain,
( v3_ordinal1(sK440(U_4208,U_4207,U_4206))
| ~ sP652(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_29,plain,
( r2_hidden(k1_ordinal1(sK440(U_4208,U_4207,U_4206)),k1_ordinal1(f1_s7_ordinal2))
| ~ sP652(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_30,plain,
( k1_funct_1(U_4206,k1_ordinal1(sK440(U_4208,U_4207,U_4206))) != f3_s7_ordinal2(sK440(U_4208,U_4207,U_4206),k1_funct_1(U_4206,sK440(U_4208,U_4207,U_4206)))
| ~ sP652(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_31,plain,
( v3_ordinal1(sK441(U_4208,U_4207,U_4206))
| ~ sP653(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_32,plain,
( r2_hidden(sK441(U_4208,U_4207,U_4206),k1_ordinal1(f1_s7_ordinal2))
| ~ sP653(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_33,plain,
( v4_ordinal1(sK441(U_4208,U_4207,U_4206))
| ~ sP653(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_34,plain,
( sK441(U_4208,U_4207,U_4206) != k1_xboole_0
| ~ sP653(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
cnf(f_1502_35,plain,
( k1_funct_1(U_4206,sK441(U_4208,U_4207,U_4206)) != f4_s7_ordinal2(sK441(U_4208,U_4207,U_4206),k2_ordinal1(U_4206,sK441(U_4208,U_4207,U_4206)))
| ~ sP653(U_4207,U_4206,U_4208) ),
inference(clausify,[status(thm)],[f_1502_10]) ).
fof(f_1503_1,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ? [A] :
( ? [B] :
( ( B != f1_s8_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f4_s8_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f3_s8_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f4_s8_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f3_s8_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f1_s8_ordinal2(A) ) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s8_ordinal2]) ).
fof(f_1503_2,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ? [U_4216] :
( ? [U_4215] :
( ( U_4215 != f1_s8_ordinal2(U_4216)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(U_4216))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(U_4216))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(U_4216)
& U_4215 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ( ! [U_4211] :
( ? [U_4210] :
( k1_funct_1(U_4211,U_4210) != f4_s8_ordinal2(U_4210,k2_ordinal1(U_4211,U_4210))
& U_4210 != k1_xboole_0
& v4_ordinal1(U_4210)
& r2_hidden(U_4210,k1_ordinal1(U_4216))
& v3_ordinal1(U_4210) )
| ? [U_4209] :
( k1_funct_1(U_4211,k1_ordinal1(U_4209)) != f3_s8_ordinal2(U_4209,k1_funct_1(U_4211,U_4209))
& r2_hidden(k1_ordinal1(U_4209),k1_ordinal1(U_4216))
& v3_ordinal1(U_4209) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(U_4216)
| U_4215 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& U_4215 = f1_s8_ordinal2(U_4216) ) )
& v3_ordinal1(U_4216) ) ),
inference(variable_rename,[status(thm)],[f_1503_1]) ).
fof(f_1503_3,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ? [U_4216] :
( ( ? [U_4218] :
( U_4218 != f1_s8_ordinal2(U_4216)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(U_4216))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(U_4216))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(U_4216)
& U_4218 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ? [U_4217] :
( ! [U_4211] :
( ? [U_4210] :
( k1_funct_1(U_4211,U_4210) != f4_s8_ordinal2(U_4210,k2_ordinal1(U_4211,U_4210))
& U_4210 != k1_xboole_0
& v4_ordinal1(U_4210)
& r2_hidden(U_4210,k1_ordinal1(U_4216))
& v3_ordinal1(U_4210) )
| ? [U_4209] :
( k1_funct_1(U_4211,k1_ordinal1(U_4209)) != f3_s8_ordinal2(U_4209,k1_funct_1(U_4211,U_4209))
& r2_hidden(k1_ordinal1(U_4209),k1_ordinal1(U_4216))
& v3_ordinal1(U_4209) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(U_4216)
| U_4217 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& U_4217 = f1_s8_ordinal2(U_4216) ) )
& v3_ordinal1(U_4216) ) ),
inference(miniscope,[status(thm)],[f_1503_2]) ).
fof(f_1503_4,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ( ( ? [U_4218] :
( U_4218 != f1_s8_ordinal2(sK442)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(sK442)
& U_4218 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ? [U_4217] :
( ! [U_4211] :
( ? [U_4210] :
( k1_funct_1(U_4211,U_4210) != f4_s8_ordinal2(U_4210,k2_ordinal1(U_4211,U_4210))
& U_4210 != k1_xboole_0
& v4_ordinal1(U_4210)
& r2_hidden(U_4210,k1_ordinal1(sK442))
& v3_ordinal1(U_4210) )
| ? [U_4209] :
( k1_funct_1(U_4211,k1_ordinal1(U_4209)) != f3_s8_ordinal2(U_4209,k1_funct_1(U_4211,U_4209))
& r2_hidden(k1_ordinal1(U_4209),k1_ordinal1(sK442))
& v3_ordinal1(U_4209) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| U_4217 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& U_4217 = f1_s8_ordinal2(sK442) ) )
& v3_ordinal1(sK442) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK442]),skolemize(U_4216,sK442)],[f_1503_3]) ).
fof(f_1503_5,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ( ( ? [U_4218] :
( U_4218 != f1_s8_ordinal2(sK442)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(sK442)
& U_4218 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ( ! [U_4211] :
( ? [U_4210] :
( k1_funct_1(U_4211,U_4210) != f4_s8_ordinal2(U_4210,k2_ordinal1(U_4211,U_4210))
& U_4210 != k1_xboole_0
& v4_ordinal1(U_4210)
& r2_hidden(U_4210,k1_ordinal1(sK442))
& v3_ordinal1(U_4210) )
| ? [U_4209] :
( k1_funct_1(U_4211,k1_ordinal1(U_4209)) != f3_s8_ordinal2(U_4209,k1_funct_1(U_4211,U_4209))
& r2_hidden(k1_ordinal1(U_4209),k1_ordinal1(sK442))
& v3_ordinal1(U_4209) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& sK443 = f1_s8_ordinal2(sK442) ) )
& v3_ordinal1(sK442) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK443]),skolemize(U_4217,sK443)],[f_1503_4]) ).
fof(f_1503_6,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ( ( ? [U_4218] :
( U_4218 != f1_s8_ordinal2(sK442)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(sK442)
& U_4218 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ( ! [U_4211] :
( ? [U_4210] :
( k1_funct_1(U_4211,U_4210) != f4_s8_ordinal2(U_4210,k2_ordinal1(U_4211,U_4210))
& U_4210 != k1_xboole_0
& v4_ordinal1(U_4210)
& r2_hidden(U_4210,k1_ordinal1(sK442))
& v3_ordinal1(U_4210) )
| ( k1_funct_1(U_4211,k1_ordinal1(sK444(U_4211))) != f3_s8_ordinal2(sK444(U_4211),k1_funct_1(U_4211,sK444(U_4211)))
& r2_hidden(k1_ordinal1(sK444(U_4211)),k1_ordinal1(sK442))
& v3_ordinal1(sK444(U_4211)) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& sK443 = f1_s8_ordinal2(sK442) ) )
& v3_ordinal1(sK442) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK444]),skolemize(U_4209,sK444(U_4211))],[f_1503_5]) ).
fof(f_1503_7,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ( ( ? [U_4218] :
( U_4218 != f1_s8_ordinal2(sK442)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(sK442)
& U_4218 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ( ! [U_4211] :
( ( k1_funct_1(U_4211,sK445(U_4211)) != f4_s8_ordinal2(sK445(U_4211),k2_ordinal1(U_4211,sK445(U_4211)))
& sK445(U_4211) != k1_xboole_0
& v4_ordinal1(sK445(U_4211))
& r2_hidden(sK445(U_4211),k1_ordinal1(sK442))
& v3_ordinal1(sK445(U_4211)) )
| ( k1_funct_1(U_4211,k1_ordinal1(sK444(U_4211))) != f3_s8_ordinal2(sK444(U_4211),k1_funct_1(U_4211,sK444(U_4211)))
& r2_hidden(k1_ordinal1(sK444(U_4211)),k1_ordinal1(sK442))
& v3_ordinal1(sK444(U_4211)) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& sK443 = f1_s8_ordinal2(sK442) ) )
& v3_ordinal1(sK442) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK445]),skolemize(U_4210,sK445(U_4211))],[f_1503_6]) ).
fof(f_1503_8,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ( ( ( sK446 != f1_s8_ordinal2(sK442)
& ? [U_4214] :
( ! [U_4213] :
( k1_funct_1(U_4214,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(U_4214,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(U_4214,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(U_4214,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(U_4214,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(U_4214) = k1_ordinal1(sK442)
& sK446 = k1_ordinal2(U_4214)
& v5_ordinal1(U_4214)
& v1_funct_1(U_4214)
& v1_relat_1(U_4214) ) )
| ( ! [U_4211] :
( ( k1_funct_1(U_4211,sK445(U_4211)) != f4_s8_ordinal2(sK445(U_4211),k2_ordinal1(U_4211,sK445(U_4211)))
& sK445(U_4211) != k1_xboole_0
& v4_ordinal1(sK445(U_4211))
& r2_hidden(sK445(U_4211),k1_ordinal1(sK442))
& v3_ordinal1(sK445(U_4211)) )
| ( k1_funct_1(U_4211,k1_ordinal1(sK444(U_4211))) != f3_s8_ordinal2(sK444(U_4211),k1_funct_1(U_4211,sK444(U_4211)))
& r2_hidden(k1_ordinal1(sK444(U_4211)),k1_ordinal1(sK442))
& v3_ordinal1(sK444(U_4211)) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& sK443 = f1_s8_ordinal2(sK442) ) )
& v3_ordinal1(sK442) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK446]),skolemize(U_4218,sK446)],[f_1503_7]) ).
fof(f_1503_9,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| ( ( ( sK446 != f1_s8_ordinal2(sK442)
& ! [U_4213] :
( k1_funct_1(sK447,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(sK447,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213) )
& ! [U_4212] :
( k1_funct_1(sK447,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(sK447,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212) )
& k1_funct_1(sK447,k1_xboole_0) = f2_s8_ordinal2
& k1_relat_1(sK447) = k1_ordinal1(sK442)
& sK446 = k1_ordinal2(sK447)
& v5_ordinal1(sK447)
& v1_funct_1(sK447)
& v1_relat_1(sK447) )
| ( ! [U_4211] :
( ( k1_funct_1(U_4211,sK445(U_4211)) != f4_s8_ordinal2(sK445(U_4211),k2_ordinal1(U_4211,sK445(U_4211)))
& sK445(U_4211) != k1_xboole_0
& v4_ordinal1(sK445(U_4211))
& r2_hidden(sK445(U_4211),k1_ordinal1(sK442))
& v3_ordinal1(sK445(U_4211)) )
| ( k1_funct_1(U_4211,k1_ordinal1(sK444(U_4211))) != f3_s8_ordinal2(sK444(U_4211),k1_funct_1(U_4211,sK444(U_4211)))
& r2_hidden(k1_ordinal1(sK444(U_4211)),k1_ordinal1(sK442))
& v3_ordinal1(sK444(U_4211)) )
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211) )
& sK443 = f1_s8_ordinal2(sK442) ) )
& v3_ordinal1(sK442) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK447]),skolemize(U_4214,sK447)],[f_1503_8]) ).
fof(f_1503_10,plain,
( ! [U_4213,U_4212] :
( sK446 != f1_s8_ordinal2(sK442)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( k1_funct_1(sK447,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(sK447,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( k1_funct_1(sK447,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(sK447,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( k1_funct_1(sK447,k1_xboole_0) = f2_s8_ordinal2
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( k1_relat_1(sK447) = k1_ordinal1(sK442)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( sK446 = k1_ordinal2(sK447)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( v5_ordinal1(sK447)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( v1_funct_1(sK447)
| ~ sP657(U_4213,U_4212) )
& ! [U_4213,U_4212] :
( v1_relat_1(sK447)
| ~ sP657(U_4213,U_4212) )
& ! [U_4211] :
( k1_funct_1(U_4211,sK445(U_4211)) != f4_s8_ordinal2(sK445(U_4211),k2_ordinal1(U_4211,sK445(U_4211)))
| ~ sP655(U_4211) )
& ! [U_4211] :
( sK445(U_4211) != k1_xboole_0
| ~ sP655(U_4211) )
& ! [U_4211] :
( v4_ordinal1(sK445(U_4211))
| ~ sP655(U_4211) )
& ! [U_4211] :
( r2_hidden(sK445(U_4211),k1_ordinal1(sK442))
| ~ sP655(U_4211) )
& ! [U_4211] :
( v3_ordinal1(sK445(U_4211))
| ~ sP655(U_4211) )
& ! [U_4211] :
( k1_funct_1(U_4211,k1_ordinal1(sK444(U_4211))) != f3_s8_ordinal2(sK444(U_4211),k1_funct_1(U_4211,sK444(U_4211)))
| ~ sP654(U_4211) )
& ! [U_4211] :
( r2_hidden(k1_ordinal1(sK444(U_4211)),k1_ordinal1(sK442))
| ~ sP654(U_4211) )
& ! [U_4211] :
( v3_ordinal1(sK444(U_4211))
| ~ sP654(U_4211) )
& ! [U_4211] :
( sP655(U_4211)
| sP654(U_4211)
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211)
| ~ sP656(U_4211) )
& ! [U_4211] :
( sK443 = f1_s8_ordinal2(sK442)
| ~ sP656(U_4211) )
& ! [U_4213,U_4212,U_4211] :
( sP657(U_4213,U_4212)
| sP656(U_4211)
| ~ sP658(U_4213,U_4212,U_4211) )
& ! [U_4213,U_4212,U_4211] :
( v3_ordinal1(sK442)
| ~ sP658(U_4213,U_4212,U_4211) )
& ! [U_4213,U_4212,U_4211] :
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| sP658(U_4213,U_4212,U_4211) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP654,sP655,sP656,sP657,sP658])],[f_1503_9]) ).
cnf(f_1503_11,plain,
( f1_s8_ordinal2(k1_xboole_0) = f2_s8_ordinal2
| sP658(U_4213,U_4212,U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_12,plain,
( v3_ordinal1(sK442)
| ~ sP658(U_4213,U_4212,U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_13,plain,
( sP657(U_4213,U_4212)
| sP656(U_4211)
| ~ sP658(U_4213,U_4212,U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_14,plain,
( sK443 = f1_s8_ordinal2(sK442)
| ~ sP656(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_15,plain,
( sP655(U_4211)
| sP654(U_4211)
| k1_funct_1(U_4211,k1_xboole_0) != f2_s8_ordinal2
| k1_relat_1(U_4211) != k1_ordinal1(sK442)
| sK443 != k1_ordinal2(U_4211)
| ~ v5_ordinal1(U_4211)
| ~ v1_funct_1(U_4211)
| ~ v1_relat_1(U_4211)
| ~ sP656(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_16,plain,
( v3_ordinal1(sK444(U_4211))
| ~ sP654(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_17,plain,
( r2_hidden(k1_ordinal1(sK444(U_4211)),k1_ordinal1(sK442))
| ~ sP654(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_18,plain,
( k1_funct_1(U_4211,k1_ordinal1(sK444(U_4211))) != f3_s8_ordinal2(sK444(U_4211),k1_funct_1(U_4211,sK444(U_4211)))
| ~ sP654(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_19,plain,
( v3_ordinal1(sK445(U_4211))
| ~ sP655(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_20,plain,
( r2_hidden(sK445(U_4211),k1_ordinal1(sK442))
| ~ sP655(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_21,plain,
( v4_ordinal1(sK445(U_4211))
| ~ sP655(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_22,plain,
( sK445(U_4211) != k1_xboole_0
| ~ sP655(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_23,plain,
( k1_funct_1(U_4211,sK445(U_4211)) != f4_s8_ordinal2(sK445(U_4211),k2_ordinal1(U_4211,sK445(U_4211)))
| ~ sP655(U_4211) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_24,plain,
( v1_relat_1(sK447)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_25,plain,
( v1_funct_1(sK447)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_26,plain,
( v5_ordinal1(sK447)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_27,plain,
( sK446 = k1_ordinal2(sK447)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_28,plain,
( k1_relat_1(sK447) = k1_ordinal1(sK442)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_29,plain,
( k1_funct_1(sK447,k1_xboole_0) = f2_s8_ordinal2
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_30,plain,
( k1_funct_1(sK447,k1_ordinal1(U_4212)) = f3_s8_ordinal2(U_4212,k1_funct_1(sK447,U_4212))
| ~ r2_hidden(k1_ordinal1(U_4212),k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4212)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_31,plain,
( k1_funct_1(sK447,U_4213) = f4_s8_ordinal2(U_4213,k2_ordinal1(sK447,U_4213))
| U_4213 = k1_xboole_0
| ~ v4_ordinal1(U_4213)
| ~ r2_hidden(U_4213,k1_ordinal1(sK442))
| ~ v3_ordinal1(U_4213)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
cnf(f_1503_32,plain,
( sK446 != f1_s8_ordinal2(sK442)
| ~ sP657(U_4213,U_4212) ),
inference(clausify,[status(thm)],[f_1503_10]) ).
fof(f_1504_1,plain,
( ! [A] :
( f4_s9_ordinal2(k1_ordinal1(A)) = f2_s9_ordinal2(A,f4_s9_ordinal2(A))
| ~ v3_ordinal1(A) )
| ? [A] :
( ? [B] :
( ( B != f4_s9_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f3_s9_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f2_s9_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f3_s9_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f2_s9_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f4_s9_ordinal2(A) ) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s9_ordinal2]) ).
fof(f_1504_2,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ? [U_4226] :
( ? [U_4225] :
( ( U_4225 != f4_s9_ordinal2(U_4226)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(U_4226))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(U_4226))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(U_4226)
& U_4225 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ( ! [U_4221] :
( ? [U_4220] :
( k1_funct_1(U_4221,U_4220) != f3_s9_ordinal2(U_4220,k2_ordinal1(U_4221,U_4220))
& U_4220 != k1_xboole_0
& v4_ordinal1(U_4220)
& r2_hidden(U_4220,k1_ordinal1(U_4226))
& v3_ordinal1(U_4220) )
| ? [U_4219] :
( k1_funct_1(U_4221,k1_ordinal1(U_4219)) != f2_s9_ordinal2(U_4219,k1_funct_1(U_4221,U_4219))
& r2_hidden(k1_ordinal1(U_4219),k1_ordinal1(U_4226))
& v3_ordinal1(U_4219) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(U_4226)
| U_4225 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& U_4225 = f4_s9_ordinal2(U_4226) ) )
& v3_ordinal1(U_4226) ) ),
inference(variable_rename,[status(thm)],[f_1504_1]) ).
fof(f_1504_3,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ? [U_4226] :
( ( ? [U_4229] :
( U_4229 != f4_s9_ordinal2(U_4226)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(U_4226))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(U_4226))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(U_4226)
& U_4229 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ? [U_4228] :
( ! [U_4221] :
( ? [U_4220] :
( k1_funct_1(U_4221,U_4220) != f3_s9_ordinal2(U_4220,k2_ordinal1(U_4221,U_4220))
& U_4220 != k1_xboole_0
& v4_ordinal1(U_4220)
& r2_hidden(U_4220,k1_ordinal1(U_4226))
& v3_ordinal1(U_4220) )
| ? [U_4219] :
( k1_funct_1(U_4221,k1_ordinal1(U_4219)) != f2_s9_ordinal2(U_4219,k1_funct_1(U_4221,U_4219))
& r2_hidden(k1_ordinal1(U_4219),k1_ordinal1(U_4226))
& v3_ordinal1(U_4219) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(U_4226)
| U_4228 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& U_4228 = f4_s9_ordinal2(U_4226) ) )
& v3_ordinal1(U_4226) ) ),
inference(miniscope,[status(thm)],[f_1504_2]) ).
fof(f_1504_4,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ( ( ? [U_4229] :
( U_4229 != f4_s9_ordinal2(sK448)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(sK448)
& U_4229 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ? [U_4228] :
( ! [U_4221] :
( ? [U_4220] :
( k1_funct_1(U_4221,U_4220) != f3_s9_ordinal2(U_4220,k2_ordinal1(U_4221,U_4220))
& U_4220 != k1_xboole_0
& v4_ordinal1(U_4220)
& r2_hidden(U_4220,k1_ordinal1(sK448))
& v3_ordinal1(U_4220) )
| ? [U_4219] :
( k1_funct_1(U_4221,k1_ordinal1(U_4219)) != f2_s9_ordinal2(U_4219,k1_funct_1(U_4221,U_4219))
& r2_hidden(k1_ordinal1(U_4219),k1_ordinal1(sK448))
& v3_ordinal1(U_4219) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| U_4228 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& U_4228 = f4_s9_ordinal2(sK448) ) )
& v3_ordinal1(sK448) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK448]),skolemize(U_4226,sK448)],[f_1504_3]) ).
fof(f_1504_5,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ( ( ? [U_4229] :
( U_4229 != f4_s9_ordinal2(sK448)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(sK448)
& U_4229 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ( ! [U_4221] :
( ? [U_4220] :
( k1_funct_1(U_4221,U_4220) != f3_s9_ordinal2(U_4220,k2_ordinal1(U_4221,U_4220))
& U_4220 != k1_xboole_0
& v4_ordinal1(U_4220)
& r2_hidden(U_4220,k1_ordinal1(sK448))
& v3_ordinal1(U_4220) )
| ? [U_4219] :
( k1_funct_1(U_4221,k1_ordinal1(U_4219)) != f2_s9_ordinal2(U_4219,k1_funct_1(U_4221,U_4219))
& r2_hidden(k1_ordinal1(U_4219),k1_ordinal1(sK448))
& v3_ordinal1(U_4219) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& sK449 = f4_s9_ordinal2(sK448) ) )
& v3_ordinal1(sK448) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK449]),skolemize(U_4228,sK449)],[f_1504_4]) ).
fof(f_1504_6,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ( ( ? [U_4229] :
( U_4229 != f4_s9_ordinal2(sK448)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(sK448)
& U_4229 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ( ! [U_4221] :
( ? [U_4220] :
( k1_funct_1(U_4221,U_4220) != f3_s9_ordinal2(U_4220,k2_ordinal1(U_4221,U_4220))
& U_4220 != k1_xboole_0
& v4_ordinal1(U_4220)
& r2_hidden(U_4220,k1_ordinal1(sK448))
& v3_ordinal1(U_4220) )
| ( k1_funct_1(U_4221,k1_ordinal1(sK450(U_4221))) != f2_s9_ordinal2(sK450(U_4221),k1_funct_1(U_4221,sK450(U_4221)))
& r2_hidden(k1_ordinal1(sK450(U_4221)),k1_ordinal1(sK448))
& v3_ordinal1(sK450(U_4221)) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& sK449 = f4_s9_ordinal2(sK448) ) )
& v3_ordinal1(sK448) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK450]),skolemize(U_4219,sK450(U_4221))],[f_1504_5]) ).
fof(f_1504_7,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ( ( ? [U_4229] :
( U_4229 != f4_s9_ordinal2(sK448)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(sK448)
& U_4229 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ( ! [U_4221] :
( ( k1_funct_1(U_4221,sK451(U_4221)) != f3_s9_ordinal2(sK451(U_4221),k2_ordinal1(U_4221,sK451(U_4221)))
& sK451(U_4221) != k1_xboole_0
& v4_ordinal1(sK451(U_4221))
& r2_hidden(sK451(U_4221),k1_ordinal1(sK448))
& v3_ordinal1(sK451(U_4221)) )
| ( k1_funct_1(U_4221,k1_ordinal1(sK450(U_4221))) != f2_s9_ordinal2(sK450(U_4221),k1_funct_1(U_4221,sK450(U_4221)))
& r2_hidden(k1_ordinal1(sK450(U_4221)),k1_ordinal1(sK448))
& v3_ordinal1(sK450(U_4221)) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& sK449 = f4_s9_ordinal2(sK448) ) )
& v3_ordinal1(sK448) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK451]),skolemize(U_4220,sK451(U_4221))],[f_1504_6]) ).
fof(f_1504_8,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ( ( ( sK452 != f4_s9_ordinal2(sK448)
& ? [U_4224] :
( ! [U_4223] :
( k1_funct_1(U_4224,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(U_4224,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(U_4224,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(U_4224,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(U_4224,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(U_4224) = k1_ordinal1(sK448)
& sK452 = k1_ordinal2(U_4224)
& v5_ordinal1(U_4224)
& v1_funct_1(U_4224)
& v1_relat_1(U_4224) ) )
| ( ! [U_4221] :
( ( k1_funct_1(U_4221,sK451(U_4221)) != f3_s9_ordinal2(sK451(U_4221),k2_ordinal1(U_4221,sK451(U_4221)))
& sK451(U_4221) != k1_xboole_0
& v4_ordinal1(sK451(U_4221))
& r2_hidden(sK451(U_4221),k1_ordinal1(sK448))
& v3_ordinal1(sK451(U_4221)) )
| ( k1_funct_1(U_4221,k1_ordinal1(sK450(U_4221))) != f2_s9_ordinal2(sK450(U_4221),k1_funct_1(U_4221,sK450(U_4221)))
& r2_hidden(k1_ordinal1(sK450(U_4221)),k1_ordinal1(sK448))
& v3_ordinal1(sK450(U_4221)) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& sK449 = f4_s9_ordinal2(sK448) ) )
& v3_ordinal1(sK448) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK452]),skolemize(U_4229,sK452)],[f_1504_7]) ).
fof(f_1504_9,plain,
( ! [U_4227] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227) )
| ( ( ( sK452 != f4_s9_ordinal2(sK448)
& ! [U_4223] :
( k1_funct_1(sK453,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(sK453,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223) )
& ! [U_4222] :
( k1_funct_1(sK453,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(sK453,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222) )
& k1_funct_1(sK453,k1_xboole_0) = f1_s9_ordinal2
& k1_relat_1(sK453) = k1_ordinal1(sK448)
& sK452 = k1_ordinal2(sK453)
& v5_ordinal1(sK453)
& v1_funct_1(sK453)
& v1_relat_1(sK453) )
| ( ! [U_4221] :
( ( k1_funct_1(U_4221,sK451(U_4221)) != f3_s9_ordinal2(sK451(U_4221),k2_ordinal1(U_4221,sK451(U_4221)))
& sK451(U_4221) != k1_xboole_0
& v4_ordinal1(sK451(U_4221))
& r2_hidden(sK451(U_4221),k1_ordinal1(sK448))
& v3_ordinal1(sK451(U_4221)) )
| ( k1_funct_1(U_4221,k1_ordinal1(sK450(U_4221))) != f2_s9_ordinal2(sK450(U_4221),k1_funct_1(U_4221,sK450(U_4221)))
& r2_hidden(k1_ordinal1(sK450(U_4221)),k1_ordinal1(sK448))
& v3_ordinal1(sK450(U_4221)) )
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221) )
& sK449 = f4_s9_ordinal2(sK448) ) )
& v3_ordinal1(sK448) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK453]),skolemize(U_4224,sK453)],[f_1504_8]) ).
fof(f_1504_10,plain,
( ! [U_4222,U_4223] :
( sK452 != f4_s9_ordinal2(sK448)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( k1_funct_1(sK453,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(sK453,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( k1_funct_1(sK453,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(sK453,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( k1_funct_1(sK453,k1_xboole_0) = f1_s9_ordinal2
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( k1_relat_1(sK453) = k1_ordinal1(sK448)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( sK452 = k1_ordinal2(sK453)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( v5_ordinal1(sK453)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( v1_funct_1(sK453)
| ~ sP662(U_4222,U_4223) )
& ! [U_4222,U_4223] :
( v1_relat_1(sK453)
| ~ sP662(U_4222,U_4223) )
& ! [U_4221] :
( k1_funct_1(U_4221,sK451(U_4221)) != f3_s9_ordinal2(sK451(U_4221),k2_ordinal1(U_4221,sK451(U_4221)))
| ~ sP660(U_4221) )
& ! [U_4221] :
( sK451(U_4221) != k1_xboole_0
| ~ sP660(U_4221) )
& ! [U_4221] :
( v4_ordinal1(sK451(U_4221))
| ~ sP660(U_4221) )
& ! [U_4221] :
( r2_hidden(sK451(U_4221),k1_ordinal1(sK448))
| ~ sP660(U_4221) )
& ! [U_4221] :
( v3_ordinal1(sK451(U_4221))
| ~ sP660(U_4221) )
& ! [U_4221] :
( k1_funct_1(U_4221,k1_ordinal1(sK450(U_4221))) != f2_s9_ordinal2(sK450(U_4221),k1_funct_1(U_4221,sK450(U_4221)))
| ~ sP659(U_4221) )
& ! [U_4221] :
( r2_hidden(k1_ordinal1(sK450(U_4221)),k1_ordinal1(sK448))
| ~ sP659(U_4221) )
& ! [U_4221] :
( v3_ordinal1(sK450(U_4221))
| ~ sP659(U_4221) )
& ! [U_4221] :
( sP660(U_4221)
| sP659(U_4221)
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221)
| ~ sP661(U_4221) )
& ! [U_4221] :
( sK449 = f4_s9_ordinal2(sK448)
| ~ sP661(U_4221) )
& ! [U_4221,U_4222,U_4223] :
( sP662(U_4222,U_4223)
| sP661(U_4221)
| ~ sP663(U_4221,U_4222,U_4223) )
& ! [U_4221,U_4222,U_4223] :
( v3_ordinal1(sK448)
| ~ sP663(U_4221,U_4222,U_4223) )
& ! [U_4227,U_4221,U_4222,U_4223] :
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227)
| sP663(U_4221,U_4222,U_4223) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP659,sP660,sP661,sP662,sP663])],[f_1504_9]) ).
cnf(f_1504_11,plain,
( f4_s9_ordinal2(k1_ordinal1(U_4227)) = f2_s9_ordinal2(U_4227,f4_s9_ordinal2(U_4227))
| ~ v3_ordinal1(U_4227)
| sP663(U_4221,U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_12,plain,
( v3_ordinal1(sK448)
| ~ sP663(U_4221,U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_13,plain,
( sP662(U_4222,U_4223)
| sP661(U_4221)
| ~ sP663(U_4221,U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_14,plain,
( sK449 = f4_s9_ordinal2(sK448)
| ~ sP661(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_15,plain,
( sP660(U_4221)
| sP659(U_4221)
| k1_funct_1(U_4221,k1_xboole_0) != f1_s9_ordinal2
| k1_relat_1(U_4221) != k1_ordinal1(sK448)
| sK449 != k1_ordinal2(U_4221)
| ~ v5_ordinal1(U_4221)
| ~ v1_funct_1(U_4221)
| ~ v1_relat_1(U_4221)
| ~ sP661(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_16,plain,
( v3_ordinal1(sK450(U_4221))
| ~ sP659(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_17,plain,
( r2_hidden(k1_ordinal1(sK450(U_4221)),k1_ordinal1(sK448))
| ~ sP659(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_18,plain,
( k1_funct_1(U_4221,k1_ordinal1(sK450(U_4221))) != f2_s9_ordinal2(sK450(U_4221),k1_funct_1(U_4221,sK450(U_4221)))
| ~ sP659(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_19,plain,
( v3_ordinal1(sK451(U_4221))
| ~ sP660(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_20,plain,
( r2_hidden(sK451(U_4221),k1_ordinal1(sK448))
| ~ sP660(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_21,plain,
( v4_ordinal1(sK451(U_4221))
| ~ sP660(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_22,plain,
( sK451(U_4221) != k1_xboole_0
| ~ sP660(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_23,plain,
( k1_funct_1(U_4221,sK451(U_4221)) != f3_s9_ordinal2(sK451(U_4221),k2_ordinal1(U_4221,sK451(U_4221)))
| ~ sP660(U_4221) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_24,plain,
( v1_relat_1(sK453)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_25,plain,
( v1_funct_1(sK453)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_26,plain,
( v5_ordinal1(sK453)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_27,plain,
( sK452 = k1_ordinal2(sK453)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_28,plain,
( k1_relat_1(sK453) = k1_ordinal1(sK448)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_29,plain,
( k1_funct_1(sK453,k1_xboole_0) = f1_s9_ordinal2
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_30,plain,
( k1_funct_1(sK453,k1_ordinal1(U_4222)) = f2_s9_ordinal2(U_4222,k1_funct_1(sK453,U_4222))
| ~ r2_hidden(k1_ordinal1(U_4222),k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4222)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_31,plain,
( k1_funct_1(sK453,U_4223) = f3_s9_ordinal2(U_4223,k2_ordinal1(sK453,U_4223))
| U_4223 = k1_xboole_0
| ~ v4_ordinal1(U_4223)
| ~ r2_hidden(U_4223,k1_ordinal1(sK448))
| ~ v3_ordinal1(U_4223)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
cnf(f_1504_32,plain,
( sK452 != f4_s9_ordinal2(sK448)
| ~ sP662(U_4222,U_4223) ),
inference(clausify,[status(thm)],[f_1504_10]) ).
fof(f_1505_1,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [A] :
( k1_funct_1(f1_s10_ordinal2,A) != f3_s10_ordinal2(A)
& r2_hidden(A,f2_s10_ordinal2)
& v3_ordinal1(A) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ? [A] :
( ? [B] :
( ( B != f3_s10_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f6_s10_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f5_s10_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f6_s10_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f5_s10_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f3_s10_ordinal2(A) ) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s10_ordinal2]) ).
fof(f_1505_2,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ? [U_4237] :
( ? [U_4236] :
( ( U_4236 != f3_s10_ordinal2(U_4237)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(U_4237))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(U_4237))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(U_4237)
& U_4236 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ( ! [U_4232] :
( ? [U_4231] :
( k1_funct_1(U_4232,U_4231) != f6_s10_ordinal2(U_4231,k2_ordinal1(U_4232,U_4231))
& U_4231 != k1_xboole_0
& v4_ordinal1(U_4231)
& r2_hidden(U_4231,k1_ordinal1(U_4237))
& v3_ordinal1(U_4231) )
| ? [U_4230] :
( k1_funct_1(U_4232,k1_ordinal1(U_4230)) != f5_s10_ordinal2(U_4230,k1_funct_1(U_4232,U_4230))
& r2_hidden(k1_ordinal1(U_4230),k1_ordinal1(U_4237))
& v3_ordinal1(U_4230) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(U_4237)
| U_4236 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& U_4236 = f3_s10_ordinal2(U_4237) ) )
& v3_ordinal1(U_4237) ) ),
inference(variable_rename,[status(thm)],[f_1505_1]) ).
fof(f_1505_3,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ? [U_4237] :
( ( ? [U_4240] :
( U_4240 != f3_s10_ordinal2(U_4237)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(U_4237))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(U_4237))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(U_4237)
& U_4240 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ? [U_4239] :
( ! [U_4232] :
( ? [U_4231] :
( k1_funct_1(U_4232,U_4231) != f6_s10_ordinal2(U_4231,k2_ordinal1(U_4232,U_4231))
& U_4231 != k1_xboole_0
& v4_ordinal1(U_4231)
& r2_hidden(U_4231,k1_ordinal1(U_4237))
& v3_ordinal1(U_4231) )
| ? [U_4230] :
( k1_funct_1(U_4232,k1_ordinal1(U_4230)) != f5_s10_ordinal2(U_4230,k1_funct_1(U_4232,U_4230))
& r2_hidden(k1_ordinal1(U_4230),k1_ordinal1(U_4237))
& v3_ordinal1(U_4230) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(U_4237)
| U_4239 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& U_4239 = f3_s10_ordinal2(U_4237) ) )
& v3_ordinal1(U_4237) ) ),
inference(miniscope,[status(thm)],[f_1505_2]) ).
fof(f_1505_4,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ? [U_4240] :
( U_4240 != f3_s10_ordinal2(sK454)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(sK454)
& U_4240 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ? [U_4239] :
( ! [U_4232] :
( ? [U_4231] :
( k1_funct_1(U_4232,U_4231) != f6_s10_ordinal2(U_4231,k2_ordinal1(U_4232,U_4231))
& U_4231 != k1_xboole_0
& v4_ordinal1(U_4231)
& r2_hidden(U_4231,k1_ordinal1(sK454))
& v3_ordinal1(U_4231) )
| ? [U_4230] :
( k1_funct_1(U_4232,k1_ordinal1(U_4230)) != f5_s10_ordinal2(U_4230,k1_funct_1(U_4232,U_4230))
& r2_hidden(k1_ordinal1(U_4230),k1_ordinal1(sK454))
& v3_ordinal1(U_4230) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| U_4239 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& U_4239 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK454]),skolemize(U_4237,sK454)],[f_1505_3]) ).
fof(f_1505_5,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ? [U_4240] :
( U_4240 != f3_s10_ordinal2(sK454)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(sK454)
& U_4240 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ( ! [U_4232] :
( ? [U_4231] :
( k1_funct_1(U_4232,U_4231) != f6_s10_ordinal2(U_4231,k2_ordinal1(U_4232,U_4231))
& U_4231 != k1_xboole_0
& v4_ordinal1(U_4231)
& r2_hidden(U_4231,k1_ordinal1(sK454))
& v3_ordinal1(U_4231) )
| ? [U_4230] :
( k1_funct_1(U_4232,k1_ordinal1(U_4230)) != f5_s10_ordinal2(U_4230,k1_funct_1(U_4232,U_4230))
& r2_hidden(k1_ordinal1(U_4230),k1_ordinal1(sK454))
& v3_ordinal1(U_4230) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& sK455 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK455]),skolemize(U_4239,sK455)],[f_1505_4]) ).
fof(f_1505_6,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ? [U_4240] :
( U_4240 != f3_s10_ordinal2(sK454)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(sK454)
& U_4240 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ( ! [U_4232] :
( ? [U_4231] :
( k1_funct_1(U_4232,U_4231) != f6_s10_ordinal2(U_4231,k2_ordinal1(U_4232,U_4231))
& U_4231 != k1_xboole_0
& v4_ordinal1(U_4231)
& r2_hidden(U_4231,k1_ordinal1(sK454))
& v3_ordinal1(U_4231) )
| ( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
& r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
& v3_ordinal1(sK456(U_4232)) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& sK455 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK456]),skolemize(U_4230,sK456(U_4232))],[f_1505_5]) ).
fof(f_1505_7,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ? [U_4240] :
( U_4240 != f3_s10_ordinal2(sK454)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(sK454)
& U_4240 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ( ! [U_4232] :
( ( k1_funct_1(U_4232,sK457(U_4232)) != f6_s10_ordinal2(sK457(U_4232),k2_ordinal1(U_4232,sK457(U_4232)))
& sK457(U_4232) != k1_xboole_0
& v4_ordinal1(sK457(U_4232))
& r2_hidden(sK457(U_4232),k1_ordinal1(sK454))
& v3_ordinal1(sK457(U_4232)) )
| ( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
& r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
& v3_ordinal1(sK456(U_4232)) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& sK455 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK457]),skolemize(U_4231,sK457(U_4232))],[f_1505_6]) ).
fof(f_1505_8,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ( sK458 != f3_s10_ordinal2(sK454)
& ? [U_4235] :
( ! [U_4234] :
( k1_funct_1(U_4235,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(U_4235,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(U_4235,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(U_4235,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(U_4235,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(U_4235) = k1_ordinal1(sK454)
& sK458 = k1_ordinal2(U_4235)
& v5_ordinal1(U_4235)
& v1_funct_1(U_4235)
& v1_relat_1(U_4235) ) )
| ( ! [U_4232] :
( ( k1_funct_1(U_4232,sK457(U_4232)) != f6_s10_ordinal2(sK457(U_4232),k2_ordinal1(U_4232,sK457(U_4232)))
& sK457(U_4232) != k1_xboole_0
& v4_ordinal1(sK457(U_4232))
& r2_hidden(sK457(U_4232),k1_ordinal1(sK454))
& v3_ordinal1(sK457(U_4232)) )
| ( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
& r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
& v3_ordinal1(sK456(U_4232)) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& sK455 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK458]),skolemize(U_4240,sK458)],[f_1505_7]) ).
fof(f_1505_9,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ? [U_4238] :
( k1_funct_1(f1_s10_ordinal2,U_4238) != f3_s10_ordinal2(U_4238)
& r2_hidden(U_4238,f2_s10_ordinal2)
& v3_ordinal1(U_4238) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ( sK458 != f3_s10_ordinal2(sK454)
& ! [U_4234] :
( k1_funct_1(sK459,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(sK459,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(sK459,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(sK459,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(sK459,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(sK459) = k1_ordinal1(sK454)
& sK458 = k1_ordinal2(sK459)
& v5_ordinal1(sK459)
& v1_funct_1(sK459)
& v1_relat_1(sK459) )
| ( ! [U_4232] :
( ( k1_funct_1(U_4232,sK457(U_4232)) != f6_s10_ordinal2(sK457(U_4232),k2_ordinal1(U_4232,sK457(U_4232)))
& sK457(U_4232) != k1_xboole_0
& v4_ordinal1(sK457(U_4232))
& r2_hidden(sK457(U_4232),k1_ordinal1(sK454))
& v3_ordinal1(sK457(U_4232)) )
| ( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
& r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
& v3_ordinal1(sK456(U_4232)) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& sK455 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK459]),skolemize(U_4235,sK459)],[f_1505_8]) ).
fof(f_1505_10,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| ( k1_funct_1(f1_s10_ordinal2,sK460) != f3_s10_ordinal2(sK460)
& r2_hidden(sK460,f2_s10_ordinal2)
& v3_ordinal1(sK460) )
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| ( ( ( sK458 != f3_s10_ordinal2(sK454)
& ! [U_4234] :
( k1_funct_1(sK459,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(sK459,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234) )
& ! [U_4233] :
( k1_funct_1(sK459,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(sK459,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233) )
& k1_funct_1(sK459,k1_xboole_0) = f4_s10_ordinal2
& k1_relat_1(sK459) = k1_ordinal1(sK454)
& sK458 = k1_ordinal2(sK459)
& v5_ordinal1(sK459)
& v1_funct_1(sK459)
& v1_relat_1(sK459) )
| ( ! [U_4232] :
( ( k1_funct_1(U_4232,sK457(U_4232)) != f6_s10_ordinal2(sK457(U_4232),k2_ordinal1(U_4232,sK457(U_4232)))
& sK457(U_4232) != k1_xboole_0
& v4_ordinal1(sK457(U_4232))
& r2_hidden(sK457(U_4232),k1_ordinal1(sK454))
& v3_ordinal1(sK457(U_4232)) )
| ( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
& r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
& v3_ordinal1(sK456(U_4232)) )
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232) )
& sK455 = f3_s10_ordinal2(sK454) ) )
& v3_ordinal1(sK454) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK460]),skolemize(U_4238,sK460)],[f_1505_9]) ).
fof(f_1505_11,plain,
( ( k1_funct_1(f1_s10_ordinal2,sK460) != f3_s10_ordinal2(sK460)
| ~ sP669 )
& ( r2_hidden(sK460,f2_s10_ordinal2)
| ~ sP669 )
& ( v3_ordinal1(sK460)
| ~ sP669 )
& ! [U_4234,U_4233] :
( sK458 != f3_s10_ordinal2(sK454)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( k1_funct_1(sK459,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(sK459,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( k1_funct_1(sK459,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(sK459,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( k1_funct_1(sK459,k1_xboole_0) = f4_s10_ordinal2
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( k1_relat_1(sK459) = k1_ordinal1(sK454)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( sK458 = k1_ordinal2(sK459)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( v5_ordinal1(sK459)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( v1_funct_1(sK459)
| ~ sP667(U_4234,U_4233) )
& ! [U_4234,U_4233] :
( v1_relat_1(sK459)
| ~ sP667(U_4234,U_4233) )
& ! [U_4232] :
( k1_funct_1(U_4232,sK457(U_4232)) != f6_s10_ordinal2(sK457(U_4232),k2_ordinal1(U_4232,sK457(U_4232)))
| ~ sP665(U_4232) )
& ! [U_4232] :
( sK457(U_4232) != k1_xboole_0
| ~ sP665(U_4232) )
& ! [U_4232] :
( v4_ordinal1(sK457(U_4232))
| ~ sP665(U_4232) )
& ! [U_4232] :
( r2_hidden(sK457(U_4232),k1_ordinal1(sK454))
| ~ sP665(U_4232) )
& ! [U_4232] :
( v3_ordinal1(sK457(U_4232))
| ~ sP665(U_4232) )
& ! [U_4232] :
( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
| ~ sP664(U_4232) )
& ! [U_4232] :
( r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
| ~ sP664(U_4232) )
& ! [U_4232] :
( v3_ordinal1(sK456(U_4232))
| ~ sP664(U_4232) )
& ! [U_4232] :
( sP665(U_4232)
| sP664(U_4232)
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232)
| ~ sP666(U_4232) )
& ! [U_4232] :
( sK455 = f3_s10_ordinal2(sK454)
| ~ sP666(U_4232) )
& ! [U_4232,U_4234,U_4233] :
( sP667(U_4234,U_4233)
| sP666(U_4232)
| ~ sP668(U_4232,U_4234,U_4233) )
& ! [U_4232,U_4234,U_4233] :
( v3_ordinal1(sK454)
| ~ sP668(U_4232,U_4234,U_4233) )
& ! [U_4232,U_4234,U_4233] :
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| sP669
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| sP668(U_4232,U_4234,U_4233) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP664,sP665,sP666,sP667,sP668,sP669])],[f_1505_10]) ).
cnf(f_1505_12,plain,
( f3_s10_ordinal2(f2_s10_ordinal2) = f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2)
| sP669
| k1_relat_1(f1_s10_ordinal2) != f2_s10_ordinal2
| ~ v4_ordinal1(f2_s10_ordinal2)
| f2_s10_ordinal2 = k1_xboole_0
| sP668(U_4232,U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_13,plain,
( v3_ordinal1(sK454)
| ~ sP668(U_4232,U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_14,plain,
( sP667(U_4234,U_4233)
| sP666(U_4232)
| ~ sP668(U_4232,U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_15,plain,
( sK455 = f3_s10_ordinal2(sK454)
| ~ sP666(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_16,plain,
( sP665(U_4232)
| sP664(U_4232)
| k1_funct_1(U_4232,k1_xboole_0) != f4_s10_ordinal2
| k1_relat_1(U_4232) != k1_ordinal1(sK454)
| sK455 != k1_ordinal2(U_4232)
| ~ v5_ordinal1(U_4232)
| ~ v1_funct_1(U_4232)
| ~ v1_relat_1(U_4232)
| ~ sP666(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_17,plain,
( v3_ordinal1(sK456(U_4232))
| ~ sP664(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_18,plain,
( r2_hidden(k1_ordinal1(sK456(U_4232)),k1_ordinal1(sK454))
| ~ sP664(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_19,plain,
( k1_funct_1(U_4232,k1_ordinal1(sK456(U_4232))) != f5_s10_ordinal2(sK456(U_4232),k1_funct_1(U_4232,sK456(U_4232)))
| ~ sP664(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_20,plain,
( v3_ordinal1(sK457(U_4232))
| ~ sP665(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_21,plain,
( r2_hidden(sK457(U_4232),k1_ordinal1(sK454))
| ~ sP665(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_22,plain,
( v4_ordinal1(sK457(U_4232))
| ~ sP665(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_23,plain,
( sK457(U_4232) != k1_xboole_0
| ~ sP665(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_24,plain,
( k1_funct_1(U_4232,sK457(U_4232)) != f6_s10_ordinal2(sK457(U_4232),k2_ordinal1(U_4232,sK457(U_4232)))
| ~ sP665(U_4232) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_25,plain,
( v1_relat_1(sK459)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_26,plain,
( v1_funct_1(sK459)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_27,plain,
( v5_ordinal1(sK459)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_28,plain,
( sK458 = k1_ordinal2(sK459)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_29,plain,
( k1_relat_1(sK459) = k1_ordinal1(sK454)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_30,plain,
( k1_funct_1(sK459,k1_xboole_0) = f4_s10_ordinal2
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_31,plain,
( k1_funct_1(sK459,k1_ordinal1(U_4233)) = f5_s10_ordinal2(U_4233,k1_funct_1(sK459,U_4233))
| ~ r2_hidden(k1_ordinal1(U_4233),k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4233)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_32,plain,
( k1_funct_1(sK459,U_4234) = f6_s10_ordinal2(U_4234,k2_ordinal1(sK459,U_4234))
| U_4234 = k1_xboole_0
| ~ v4_ordinal1(U_4234)
| ~ r2_hidden(U_4234,k1_ordinal1(sK454))
| ~ v3_ordinal1(U_4234)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_33,plain,
( sK458 != f3_s10_ordinal2(sK454)
| ~ sP667(U_4234,U_4233) ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_34,plain,
( v3_ordinal1(sK460)
| ~ sP669 ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_35,plain,
( r2_hidden(sK460,f2_s10_ordinal2)
| ~ sP669 ),
inference(clausify,[status(thm)],[f_1505_11]) ).
cnf(f_1505_36,plain,
( k1_funct_1(f1_s10_ordinal2,sK460) != f3_s10_ordinal2(sK460)
| ~ sP669 ),
inference(clausify,[status(thm)],[f_1505_11]) ).
fof(f_1506_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f4_s11_ordinal2(B,k2_ordinal1(A,B))
| B = k1_xboole_0
| ~ v4_ordinal1(B)
| ~ r2_hidden(B,f1_s11_ordinal2)
| ~ v3_ordinal1(B) )
& ! [B] :
( k1_funct_1(A,k1_ordinal1(B)) = f3_s11_ordinal2(B,k1_funct_1(A,B))
| ~ r2_hidden(k1_ordinal1(B),f1_s11_ordinal2)
| ~ v3_ordinal1(B) )
& ( k1_funct_1(A,k1_xboole_0) = f2_s11_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s11_ordinal2) )
& k1_relat_1(A) = f1_s11_ordinal2
& v1_ordinal2(A)
& v5_ordinal1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s11_ordinal2]) ).
fof(f_1506_2,plain,
? [U_4243] :
( ! [U_4242] :
( k1_funct_1(U_4243,U_4242) = f4_s11_ordinal2(U_4242,k2_ordinal1(U_4243,U_4242))
| U_4242 = k1_xboole_0
| ~ v4_ordinal1(U_4242)
| ~ r2_hidden(U_4242,f1_s11_ordinal2)
| ~ v3_ordinal1(U_4242) )
& ! [U_4241] :
( k1_funct_1(U_4243,k1_ordinal1(U_4241)) = f3_s11_ordinal2(U_4241,k1_funct_1(U_4243,U_4241))
| ~ r2_hidden(k1_ordinal1(U_4241),f1_s11_ordinal2)
| ~ v3_ordinal1(U_4241) )
& ( k1_funct_1(U_4243,k1_xboole_0) = f2_s11_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s11_ordinal2) )
& k1_relat_1(U_4243) = f1_s11_ordinal2
& v1_ordinal2(U_4243)
& v5_ordinal1(U_4243)
& v1_funct_1(U_4243)
& v1_relat_1(U_4243) ),
inference(variable_rename,[status(thm)],[f_1506_1]) ).
fof(f_1506_3,plain,
( ! [U_4242] :
( k1_funct_1(sK461,U_4242) = f4_s11_ordinal2(U_4242,k2_ordinal1(sK461,U_4242))
| U_4242 = k1_xboole_0
| ~ v4_ordinal1(U_4242)
| ~ r2_hidden(U_4242,f1_s11_ordinal2)
| ~ v3_ordinal1(U_4242) )
& ! [U_4241] :
( k1_funct_1(sK461,k1_ordinal1(U_4241)) = f3_s11_ordinal2(U_4241,k1_funct_1(sK461,U_4241))
| ~ r2_hidden(k1_ordinal1(U_4241),f1_s11_ordinal2)
| ~ v3_ordinal1(U_4241) )
& ( k1_funct_1(sK461,k1_xboole_0) = f2_s11_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s11_ordinal2) )
& k1_relat_1(sK461) = f1_s11_ordinal2
& v1_ordinal2(sK461)
& v5_ordinal1(sK461)
& v1_funct_1(sK461)
& v1_relat_1(sK461) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK461]),skolemize(U_4243,sK461)],[f_1506_2]) ).
fof(f_1506_4,plain,
( ! [U_4242] :
( k1_funct_1(sK461,U_4242) = f4_s11_ordinal2(U_4242,k2_ordinal1(sK461,U_4242))
| U_4242 = k1_xboole_0
| ~ v4_ordinal1(U_4242)
| ~ r2_hidden(U_4242,f1_s11_ordinal2)
| ~ v3_ordinal1(U_4242) )
& ! [U_4241] :
( k1_funct_1(sK461,k1_ordinal1(U_4241)) = f3_s11_ordinal2(U_4241,k1_funct_1(sK461,U_4241))
| ~ r2_hidden(k1_ordinal1(U_4241),f1_s11_ordinal2)
| ~ v3_ordinal1(U_4241) )
& ( k1_funct_1(sK461,k1_xboole_0) = f2_s11_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s11_ordinal2) )
& k1_relat_1(sK461) = f1_s11_ordinal2
& v1_ordinal2(sK461)
& v5_ordinal1(sK461)
& v1_funct_1(sK461)
& v1_relat_1(sK461) ),
inference(definitional_conversion,[status(esa)],[f_1506_3]) ).
cnf(f_1506_5,plain,
v1_relat_1(sK461),
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_6,plain,
v1_funct_1(sK461),
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_7,plain,
v5_ordinal1(sK461),
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_8,plain,
v1_ordinal2(sK461),
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_9,plain,
k1_relat_1(sK461) = f1_s11_ordinal2,
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_10,plain,
( k1_funct_1(sK461,k1_xboole_0) = f2_s11_ordinal2
| ~ r2_hidden(k1_xboole_0,f1_s11_ordinal2) ),
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_11,plain,
( k1_funct_1(sK461,k1_ordinal1(U_4241)) = f3_s11_ordinal2(U_4241,k1_funct_1(sK461,U_4241))
| ~ r2_hidden(k1_ordinal1(U_4241),f1_s11_ordinal2)
| ~ v3_ordinal1(U_4241) ),
inference(clausify,[status(thm)],[f_1506_4]) ).
cnf(f_1506_12,plain,
( k1_funct_1(sK461,U_4242) = f4_s11_ordinal2(U_4242,k2_ordinal1(sK461,U_4242))
| U_4242 = k1_xboole_0
| ~ v4_ordinal1(U_4242)
| ~ r2_hidden(U_4242,f1_s11_ordinal2)
| ~ v3_ordinal1(U_4242) ),
inference(clausify,[status(thm)],[f_1506_4]) ).
fof(f_1507_1,plain,
( ! [A] :
( k1_funct_1(f1_s12_ordinal2,A) = f2_s12_ordinal2(A)
| ~ r2_hidden(A,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f1_s12_ordinal2,A) != f6_s12_ordinal2(A,k2_ordinal1(f1_s12_ordinal2,A))
& A != k1_xboole_0
& v4_ordinal1(A)
& r2_hidden(A,f3_s12_ordinal2)
& v3_ordinal1(A) )
| ? [A] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(A)) != f5_s12_ordinal2(A,k1_funct_1(f1_s12_ordinal2,A))
& r2_hidden(k1_ordinal1(A),f3_s12_ordinal2)
& v3_ordinal1(A) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ? [A] :
( ? [B] :
( ( ( B != f2_s12_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f6_s12_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f5_s12_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f6_s12_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f5_s12_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f2_s12_ordinal2(A) ) )
& v3_ordinal1(B) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s12_ordinal2]) ).
fof(f_1507_2,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ? [U_4252] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(U_4252)) != f5_s12_ordinal2(U_4252,k1_funct_1(f1_s12_ordinal2,U_4252))
& r2_hidden(k1_ordinal1(U_4252),f3_s12_ordinal2)
& v3_ordinal1(U_4252) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ? [U_4251] :
( ? [U_4250] :
( ( ( U_4250 != f2_s12_ordinal2(U_4251)
& ? [U_4249] :
( ! [U_4248] :
( k1_funct_1(U_4249,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(U_4249,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(U_4251))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(U_4249,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(U_4249,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(U_4251))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(U_4249,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(U_4249) = k1_ordinal1(U_4251)
& U_4250 = k1_ordinal2(U_4249)
& v1_ordinal2(U_4249)
& v5_ordinal1(U_4249)
& v1_funct_1(U_4249)
& v1_relat_1(U_4249) ) )
| ( ! [U_4246] :
( ? [U_4245] :
( k1_funct_1(U_4246,U_4245) != f6_s12_ordinal2(U_4245,k2_ordinal1(U_4246,U_4245))
& U_4245 != k1_xboole_0
& v4_ordinal1(U_4245)
& r2_hidden(U_4245,k1_ordinal1(U_4251))
& v3_ordinal1(U_4245) )
| ? [U_4244] :
( k1_funct_1(U_4246,k1_ordinal1(U_4244)) != f5_s12_ordinal2(U_4244,k1_funct_1(U_4246,U_4244))
& r2_hidden(k1_ordinal1(U_4244),k1_ordinal1(U_4251))
& v3_ordinal1(U_4244) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(U_4251)
| U_4250 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& U_4250 = f2_s12_ordinal2(U_4251) ) )
& v3_ordinal1(U_4250) )
& v3_ordinal1(U_4251) ) ),
inference(variable_rename,[status(thm)],[f_1507_1]) ).
fof(f_1507_3,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ? [U_4252] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(U_4252)) != f5_s12_ordinal2(U_4252,k1_funct_1(f1_s12_ordinal2,U_4252))
& r2_hidden(k1_ordinal1(U_4252),f3_s12_ordinal2)
& v3_ordinal1(U_4252) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ? [U_4250] :
( ( ( U_4250 != f2_s12_ordinal2(sK462)
& ? [U_4249] :
( ! [U_4248] :
( k1_funct_1(U_4249,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(U_4249,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(U_4249,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(U_4249,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(U_4249,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(U_4249) = k1_ordinal1(sK462)
& U_4250 = k1_ordinal2(U_4249)
& v1_ordinal2(U_4249)
& v5_ordinal1(U_4249)
& v1_funct_1(U_4249)
& v1_relat_1(U_4249) ) )
| ( ! [U_4246] :
( ? [U_4245] :
( k1_funct_1(U_4246,U_4245) != f6_s12_ordinal2(U_4245,k2_ordinal1(U_4246,U_4245))
& U_4245 != k1_xboole_0
& v4_ordinal1(U_4245)
& r2_hidden(U_4245,k1_ordinal1(sK462))
& v3_ordinal1(U_4245) )
| ? [U_4244] :
( k1_funct_1(U_4246,k1_ordinal1(U_4244)) != f5_s12_ordinal2(U_4244,k1_funct_1(U_4246,U_4244))
& r2_hidden(k1_ordinal1(U_4244),k1_ordinal1(sK462))
& v3_ordinal1(U_4244) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| U_4250 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& U_4250 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(U_4250) )
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK462]),skolemize(U_4251,sK462)],[f_1507_2]) ).
fof(f_1507_4,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ? [U_4252] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(U_4252)) != f5_s12_ordinal2(U_4252,k1_funct_1(f1_s12_ordinal2,U_4252))
& r2_hidden(k1_ordinal1(U_4252),f3_s12_ordinal2)
& v3_ordinal1(U_4252) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ( ( sK463 != f2_s12_ordinal2(sK462)
& ? [U_4249] :
( ! [U_4248] :
( k1_funct_1(U_4249,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(U_4249,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(U_4249,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(U_4249,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(U_4249,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(U_4249) = k1_ordinal1(sK462)
& sK463 = k1_ordinal2(U_4249)
& v1_ordinal2(U_4249)
& v5_ordinal1(U_4249)
& v1_funct_1(U_4249)
& v1_relat_1(U_4249) ) )
| ( ! [U_4246] :
( ? [U_4245] :
( k1_funct_1(U_4246,U_4245) != f6_s12_ordinal2(U_4245,k2_ordinal1(U_4246,U_4245))
& U_4245 != k1_xboole_0
& v4_ordinal1(U_4245)
& r2_hidden(U_4245,k1_ordinal1(sK462))
& v3_ordinal1(U_4245) )
| ? [U_4244] :
( k1_funct_1(U_4246,k1_ordinal1(U_4244)) != f5_s12_ordinal2(U_4244,k1_funct_1(U_4246,U_4244))
& r2_hidden(k1_ordinal1(U_4244),k1_ordinal1(sK462))
& v3_ordinal1(U_4244) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& sK463 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(sK463)
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK463]),skolemize(U_4250,sK463)],[f_1507_3]) ).
fof(f_1507_5,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ? [U_4252] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(U_4252)) != f5_s12_ordinal2(U_4252,k1_funct_1(f1_s12_ordinal2,U_4252))
& r2_hidden(k1_ordinal1(U_4252),f3_s12_ordinal2)
& v3_ordinal1(U_4252) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ( ( sK463 != f2_s12_ordinal2(sK462)
& ? [U_4249] :
( ! [U_4248] :
( k1_funct_1(U_4249,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(U_4249,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(U_4249,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(U_4249,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(U_4249,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(U_4249) = k1_ordinal1(sK462)
& sK463 = k1_ordinal2(U_4249)
& v1_ordinal2(U_4249)
& v5_ordinal1(U_4249)
& v1_funct_1(U_4249)
& v1_relat_1(U_4249) ) )
| ( ! [U_4246] :
( ? [U_4245] :
( k1_funct_1(U_4246,U_4245) != f6_s12_ordinal2(U_4245,k2_ordinal1(U_4246,U_4245))
& U_4245 != k1_xboole_0
& v4_ordinal1(U_4245)
& r2_hidden(U_4245,k1_ordinal1(sK462))
& v3_ordinal1(U_4245) )
| ( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
& r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
& v3_ordinal1(sK464(U_4246)) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& sK463 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(sK463)
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK464]),skolemize(U_4244,sK464(U_4246))],[f_1507_4]) ).
fof(f_1507_6,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ? [U_4252] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(U_4252)) != f5_s12_ordinal2(U_4252,k1_funct_1(f1_s12_ordinal2,U_4252))
& r2_hidden(k1_ordinal1(U_4252),f3_s12_ordinal2)
& v3_ordinal1(U_4252) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ( ( sK463 != f2_s12_ordinal2(sK462)
& ? [U_4249] :
( ! [U_4248] :
( k1_funct_1(U_4249,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(U_4249,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(U_4249,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(U_4249,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(U_4249,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(U_4249) = k1_ordinal1(sK462)
& sK463 = k1_ordinal2(U_4249)
& v1_ordinal2(U_4249)
& v5_ordinal1(U_4249)
& v1_funct_1(U_4249)
& v1_relat_1(U_4249) ) )
| ( ! [U_4246] :
( ( k1_funct_1(U_4246,sK465(U_4246)) != f6_s12_ordinal2(sK465(U_4246),k2_ordinal1(U_4246,sK465(U_4246)))
& sK465(U_4246) != k1_xboole_0
& v4_ordinal1(sK465(U_4246))
& r2_hidden(sK465(U_4246),k1_ordinal1(sK462))
& v3_ordinal1(sK465(U_4246)) )
| ( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
& r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
& v3_ordinal1(sK464(U_4246)) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& sK463 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(sK463)
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK465]),skolemize(U_4245,sK465(U_4246))],[f_1507_5]) ).
fof(f_1507_7,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ? [U_4252] :
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(U_4252)) != f5_s12_ordinal2(U_4252,k1_funct_1(f1_s12_ordinal2,U_4252))
& r2_hidden(k1_ordinal1(U_4252),f3_s12_ordinal2)
& v3_ordinal1(U_4252) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ( ( sK463 != f2_s12_ordinal2(sK462)
& ! [U_4248] :
( k1_funct_1(sK466,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(sK466,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(sK466,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(sK466,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(sK466,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(sK466) = k1_ordinal1(sK462)
& sK463 = k1_ordinal2(sK466)
& v1_ordinal2(sK466)
& v5_ordinal1(sK466)
& v1_funct_1(sK466)
& v1_relat_1(sK466) )
| ( ! [U_4246] :
( ( k1_funct_1(U_4246,sK465(U_4246)) != f6_s12_ordinal2(sK465(U_4246),k2_ordinal1(U_4246,sK465(U_4246)))
& sK465(U_4246) != k1_xboole_0
& v4_ordinal1(sK465(U_4246))
& r2_hidden(sK465(U_4246),k1_ordinal1(sK462))
& v3_ordinal1(sK465(U_4246)) )
| ( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
& r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
& v3_ordinal1(sK464(U_4246)) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& sK463 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(sK463)
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK466]),skolemize(U_4249,sK466)],[f_1507_6]) ).
fof(f_1507_8,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ? [U_4253] :
( k1_funct_1(f1_s12_ordinal2,U_4253) != f6_s12_ordinal2(U_4253,k2_ordinal1(f1_s12_ordinal2,U_4253))
& U_4253 != k1_xboole_0
& v4_ordinal1(U_4253)
& r2_hidden(U_4253,f3_s12_ordinal2)
& v3_ordinal1(U_4253) )
| ( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(sK467)) != f5_s12_ordinal2(sK467,k1_funct_1(f1_s12_ordinal2,sK467))
& r2_hidden(k1_ordinal1(sK467),f3_s12_ordinal2)
& v3_ordinal1(sK467) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ( ( sK463 != f2_s12_ordinal2(sK462)
& ! [U_4248] :
( k1_funct_1(sK466,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(sK466,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(sK466,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(sK466,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(sK466,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(sK466) = k1_ordinal1(sK462)
& sK463 = k1_ordinal2(sK466)
& v1_ordinal2(sK466)
& v5_ordinal1(sK466)
& v1_funct_1(sK466)
& v1_relat_1(sK466) )
| ( ! [U_4246] :
( ( k1_funct_1(U_4246,sK465(U_4246)) != f6_s12_ordinal2(sK465(U_4246),k2_ordinal1(U_4246,sK465(U_4246)))
& sK465(U_4246) != k1_xboole_0
& v4_ordinal1(sK465(U_4246))
& r2_hidden(sK465(U_4246),k1_ordinal1(sK462))
& v3_ordinal1(sK465(U_4246)) )
| ( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
& r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
& v3_ordinal1(sK464(U_4246)) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& sK463 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(sK463)
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK467]),skolemize(U_4252,sK467)],[f_1507_7]) ).
fof(f_1507_9,plain,
( ! [U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254) )
| ( k1_funct_1(f1_s12_ordinal2,sK468) != f6_s12_ordinal2(sK468,k2_ordinal1(f1_s12_ordinal2,sK468))
& sK468 != k1_xboole_0
& v4_ordinal1(sK468)
& r2_hidden(sK468,f3_s12_ordinal2)
& v3_ordinal1(sK468) )
| ( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(sK467)) != f5_s12_ordinal2(sK467,k1_funct_1(f1_s12_ordinal2,sK467))
& r2_hidden(k1_ordinal1(sK467),f3_s12_ordinal2)
& v3_ordinal1(sK467) )
| ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
& r2_hidden(k1_xboole_0,f3_s12_ordinal2) )
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| ( ( ( sK463 != f2_s12_ordinal2(sK462)
& ! [U_4248] :
( k1_funct_1(sK466,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(sK466,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248) )
& ! [U_4247] :
( k1_funct_1(sK466,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(sK466,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247) )
& k1_funct_1(sK466,k1_xboole_0) = f4_s12_ordinal2
& k1_relat_1(sK466) = k1_ordinal1(sK462)
& sK463 = k1_ordinal2(sK466)
& v1_ordinal2(sK466)
& v5_ordinal1(sK466)
& v1_funct_1(sK466)
& v1_relat_1(sK466) )
| ( ! [U_4246] :
( ( k1_funct_1(U_4246,sK465(U_4246)) != f6_s12_ordinal2(sK465(U_4246),k2_ordinal1(U_4246,sK465(U_4246)))
& sK465(U_4246) != k1_xboole_0
& v4_ordinal1(sK465(U_4246))
& r2_hidden(sK465(U_4246),k1_ordinal1(sK462))
& v3_ordinal1(sK465(U_4246)) )
| ( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
& r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
& v3_ordinal1(sK464(U_4246)) )
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246) )
& sK463 = f2_s12_ordinal2(sK462) ) )
& v3_ordinal1(sK463)
& v3_ordinal1(sK462) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK468]),skolemize(U_4253,sK468)],[f_1507_8]) ).
fof(f_1507_10,plain,
( ( k1_funct_1(f1_s12_ordinal2,sK468) != f6_s12_ordinal2(sK468,k2_ordinal1(f1_s12_ordinal2,sK468))
| ~ sP677 )
& ( sK468 != k1_xboole_0
| ~ sP677 )
& ( v4_ordinal1(sK468)
| ~ sP677 )
& ( r2_hidden(sK468,f3_s12_ordinal2)
| ~ sP677 )
& ( v3_ordinal1(sK468)
| ~ sP677 )
& ( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(sK467)) != f5_s12_ordinal2(sK467,k1_funct_1(f1_s12_ordinal2,sK467))
| ~ sP676 )
& ( r2_hidden(k1_ordinal1(sK467),f3_s12_ordinal2)
| ~ sP676 )
& ( v3_ordinal1(sK467)
| ~ sP676 )
& ( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
| ~ sP675 )
& ( r2_hidden(k1_xboole_0,f3_s12_ordinal2)
| ~ sP675 )
& ! [U_4247,U_4248] :
( sK463 != f2_s12_ordinal2(sK462)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( k1_funct_1(sK466,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(sK466,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( k1_funct_1(sK466,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(sK466,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( k1_funct_1(sK466,k1_xboole_0) = f4_s12_ordinal2
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( k1_relat_1(sK466) = k1_ordinal1(sK462)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( sK463 = k1_ordinal2(sK466)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( v1_ordinal2(sK466)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( v5_ordinal1(sK466)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( v1_funct_1(sK466)
| ~ sP673(U_4247,U_4248) )
& ! [U_4247,U_4248] :
( v1_relat_1(sK466)
| ~ sP673(U_4247,U_4248) )
& ! [U_4246] :
( k1_funct_1(U_4246,sK465(U_4246)) != f6_s12_ordinal2(sK465(U_4246),k2_ordinal1(U_4246,sK465(U_4246)))
| ~ sP671(U_4246) )
& ! [U_4246] :
( sK465(U_4246) != k1_xboole_0
| ~ sP671(U_4246) )
& ! [U_4246] :
( v4_ordinal1(sK465(U_4246))
| ~ sP671(U_4246) )
& ! [U_4246] :
( r2_hidden(sK465(U_4246),k1_ordinal1(sK462))
| ~ sP671(U_4246) )
& ! [U_4246] :
( v3_ordinal1(sK465(U_4246))
| ~ sP671(U_4246) )
& ! [U_4246] :
( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
| ~ sP670(U_4246) )
& ! [U_4246] :
( r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
| ~ sP670(U_4246) )
& ! [U_4246] :
( v3_ordinal1(sK464(U_4246))
| ~ sP670(U_4246) )
& ! [U_4246] :
( sP671(U_4246)
| sP670(U_4246)
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246)
| ~ sP672(U_4246) )
& ! [U_4246] :
( sK463 = f2_s12_ordinal2(sK462)
| ~ sP672(U_4246) )
& ! [U_4247,U_4246,U_4248] :
( sP673(U_4247,U_4248)
| sP672(U_4246)
| ~ sP674(U_4247,U_4246,U_4248) )
& ! [U_4247,U_4246,U_4248] :
( v3_ordinal1(sK463)
| ~ sP674(U_4247,U_4246,U_4248) )
& ! [U_4247,U_4246,U_4248] :
( v3_ordinal1(sK462)
| ~ sP674(U_4247,U_4246,U_4248) )
& ! [U_4247,U_4246,U_4248,U_4254] :
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254)
| sP677
| sP676
| sP675
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| sP674(U_4247,U_4246,U_4248) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP670,sP671,sP672,sP673,sP674,sP675,sP676,sP677])],[f_1507_9]) ).
cnf(f_1507_11,plain,
( k1_funct_1(f1_s12_ordinal2,U_4254) = f2_s12_ordinal2(U_4254)
| ~ r2_hidden(U_4254,k1_relat_1(f1_s12_ordinal2))
| ~ v3_ordinal1(U_4254)
| sP677
| sP676
| sP675
| k1_relat_1(f1_s12_ordinal2) != f3_s12_ordinal2
| sP674(U_4247,U_4246,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_12,plain,
( v3_ordinal1(sK462)
| ~ sP674(U_4247,U_4246,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_13,plain,
( v3_ordinal1(sK463)
| ~ sP674(U_4247,U_4246,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_14,plain,
( sP673(U_4247,U_4248)
| sP672(U_4246)
| ~ sP674(U_4247,U_4246,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_15,plain,
( sK463 = f2_s12_ordinal2(sK462)
| ~ sP672(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_16,plain,
( sP671(U_4246)
| sP670(U_4246)
| k1_funct_1(U_4246,k1_xboole_0) != f4_s12_ordinal2
| k1_relat_1(U_4246) != k1_ordinal1(sK462)
| sK463 != k1_ordinal2(U_4246)
| ~ v1_ordinal2(U_4246)
| ~ v5_ordinal1(U_4246)
| ~ v1_funct_1(U_4246)
| ~ v1_relat_1(U_4246)
| ~ sP672(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_17,plain,
( v3_ordinal1(sK464(U_4246))
| ~ sP670(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_18,plain,
( r2_hidden(k1_ordinal1(sK464(U_4246)),k1_ordinal1(sK462))
| ~ sP670(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_19,plain,
( k1_funct_1(U_4246,k1_ordinal1(sK464(U_4246))) != f5_s12_ordinal2(sK464(U_4246),k1_funct_1(U_4246,sK464(U_4246)))
| ~ sP670(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_20,plain,
( v3_ordinal1(sK465(U_4246))
| ~ sP671(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_21,plain,
( r2_hidden(sK465(U_4246),k1_ordinal1(sK462))
| ~ sP671(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_22,plain,
( v4_ordinal1(sK465(U_4246))
| ~ sP671(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_23,plain,
( sK465(U_4246) != k1_xboole_0
| ~ sP671(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_24,plain,
( k1_funct_1(U_4246,sK465(U_4246)) != f6_s12_ordinal2(sK465(U_4246),k2_ordinal1(U_4246,sK465(U_4246)))
| ~ sP671(U_4246) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_25,plain,
( v1_relat_1(sK466)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_26,plain,
( v1_funct_1(sK466)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_27,plain,
( v5_ordinal1(sK466)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_28,plain,
( v1_ordinal2(sK466)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_29,plain,
( sK463 = k1_ordinal2(sK466)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_30,plain,
( k1_relat_1(sK466) = k1_ordinal1(sK462)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_31,plain,
( k1_funct_1(sK466,k1_xboole_0) = f4_s12_ordinal2
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_32,plain,
( k1_funct_1(sK466,k1_ordinal1(U_4247)) = f5_s12_ordinal2(U_4247,k1_funct_1(sK466,U_4247))
| ~ r2_hidden(k1_ordinal1(U_4247),k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4247)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_33,plain,
( k1_funct_1(sK466,U_4248) = f6_s12_ordinal2(U_4248,k2_ordinal1(sK466,U_4248))
| U_4248 = k1_xboole_0
| ~ v4_ordinal1(U_4248)
| ~ r2_hidden(U_4248,k1_ordinal1(sK462))
| ~ v3_ordinal1(U_4248)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_34,plain,
( sK463 != f2_s12_ordinal2(sK462)
| ~ sP673(U_4247,U_4248) ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_35,plain,
( r2_hidden(k1_xboole_0,f3_s12_ordinal2)
| ~ sP675 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_36,plain,
( k1_funct_1(f1_s12_ordinal2,k1_xboole_0) != f4_s12_ordinal2
| ~ sP675 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_37,plain,
( v3_ordinal1(sK467)
| ~ sP676 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_38,plain,
( r2_hidden(k1_ordinal1(sK467),f3_s12_ordinal2)
| ~ sP676 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_39,plain,
( k1_funct_1(f1_s12_ordinal2,k1_ordinal1(sK467)) != f5_s12_ordinal2(sK467,k1_funct_1(f1_s12_ordinal2,sK467))
| ~ sP676 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_40,plain,
( v3_ordinal1(sK468)
| ~ sP677 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_41,plain,
( r2_hidden(sK468,f3_s12_ordinal2)
| ~ sP677 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_42,plain,
( v4_ordinal1(sK468)
| ~ sP677 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_43,plain,
( sK468 != k1_xboole_0
| ~ sP677 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
cnf(f_1507_44,plain,
( k1_funct_1(f1_s12_ordinal2,sK468) != f6_s12_ordinal2(sK468,k2_ordinal1(f1_s12_ordinal2,sK468))
| ~ sP677 ),
inference(clausify,[status(thm)],[f_1507_10]) ).
fof(f_1508_1,plain,
( ! [A] :
( ! [B] :
( A = B
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f4_s13_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f3_s13_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(C) != k1_ordinal1(f1_s13_ordinal2)
| B != k1_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f4_s13_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f3_s13_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(C) != k1_ordinal1(f1_s13_ordinal2)
| A != k1_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) )
& ? [A] :
( ? [B] :
( ! [C] :
( k1_funct_1(B,C) = f4_s13_ordinal2(C,k2_ordinal1(B,C))
| C = k1_xboole_0
| ~ v4_ordinal1(C)
| ~ r2_hidden(C,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(C) )
& ! [C] :
( k1_funct_1(B,k1_ordinal1(C)) = f3_s13_ordinal2(C,k1_funct_1(B,C))
| ~ r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(C) )
& k1_funct_1(B,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(B) = k1_ordinal1(f1_s13_ordinal2)
& A = k1_ordinal2(B)
& v1_ordinal2(B)
& v5_ordinal1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s13_ordinal2]) ).
fof(f_1508_2,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ? [U_4263] :
( k1_funct_1(U_4264,U_4263) != f4_s13_ordinal2(U_4263,k2_ordinal1(U_4264,U_4263))
& U_4263 != k1_xboole_0
& v4_ordinal1(U_4263)
& r2_hidden(U_4263,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4263) )
| ? [U_4262] :
( k1_funct_1(U_4264,k1_ordinal1(U_4262)) != f3_s13_ordinal2(U_4262,k1_funct_1(U_4264,U_4262))
& r2_hidden(k1_ordinal1(U_4262),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4262) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ? [U_4260] :
( k1_funct_1(U_4261,U_4260) != f4_s13_ordinal2(U_4260,k2_ordinal1(U_4261,U_4260))
& U_4260 != k1_xboole_0
& v4_ordinal1(U_4260)
& r2_hidden(U_4260,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4260) )
| ? [U_4259] :
( k1_funct_1(U_4261,k1_ordinal1(U_4259)) != f3_s13_ordinal2(U_4259,k1_funct_1(U_4261,U_4259))
& r2_hidden(k1_ordinal1(U_4259),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4259) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ? [U_4258] :
( ? [U_4257] :
( ! [U_4256] :
( k1_funct_1(U_4257,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(U_4257,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(U_4257,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(U_4257,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(U_4257,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(U_4257) = k1_ordinal1(f1_s13_ordinal2)
& U_4258 = k1_ordinal2(U_4257)
& v1_ordinal2(U_4257)
& v5_ordinal1(U_4257)
& v1_funct_1(U_4257)
& v1_relat_1(U_4257) )
& v3_ordinal1(U_4258) ) ),
inference(variable_rename,[status(thm)],[f_1508_1]) ).
fof(f_1508_3,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ? [U_4263] :
( k1_funct_1(U_4264,U_4263) != f4_s13_ordinal2(U_4263,k2_ordinal1(U_4264,U_4263))
& U_4263 != k1_xboole_0
& v4_ordinal1(U_4263)
& r2_hidden(U_4263,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4263) )
| ? [U_4262] :
( k1_funct_1(U_4264,k1_ordinal1(U_4262)) != f3_s13_ordinal2(U_4262,k1_funct_1(U_4264,U_4262))
& r2_hidden(k1_ordinal1(U_4262),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4262) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ? [U_4260] :
( k1_funct_1(U_4261,U_4260) != f4_s13_ordinal2(U_4260,k2_ordinal1(U_4261,U_4260))
& U_4260 != k1_xboole_0
& v4_ordinal1(U_4260)
& r2_hidden(U_4260,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4260) )
| ? [U_4259] :
( k1_funct_1(U_4261,k1_ordinal1(U_4259)) != f3_s13_ordinal2(U_4259,k1_funct_1(U_4261,U_4259))
& r2_hidden(k1_ordinal1(U_4259),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4259) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ? [U_4257] :
( ! [U_4256] :
( k1_funct_1(U_4257,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(U_4257,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(U_4257,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(U_4257,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(U_4257,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(U_4257) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(U_4257)
& v1_ordinal2(U_4257)
& v5_ordinal1(U_4257)
& v1_funct_1(U_4257)
& v1_relat_1(U_4257) )
& v3_ordinal1(sK469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK469]),skolemize(U_4258,sK469)],[f_1508_2]) ).
fof(f_1508_4,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ? [U_4263] :
( k1_funct_1(U_4264,U_4263) != f4_s13_ordinal2(U_4263,k2_ordinal1(U_4264,U_4263))
& U_4263 != k1_xboole_0
& v4_ordinal1(U_4263)
& r2_hidden(U_4263,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4263) )
| ? [U_4262] :
( k1_funct_1(U_4264,k1_ordinal1(U_4262)) != f3_s13_ordinal2(U_4262,k1_funct_1(U_4264,U_4262))
& r2_hidden(k1_ordinal1(U_4262),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4262) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ? [U_4260] :
( k1_funct_1(U_4261,U_4260) != f4_s13_ordinal2(U_4260,k2_ordinal1(U_4261,U_4260))
& U_4260 != k1_xboole_0
& v4_ordinal1(U_4260)
& r2_hidden(U_4260,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4260) )
| ? [U_4259] :
( k1_funct_1(U_4261,k1_ordinal1(U_4259)) != f3_s13_ordinal2(U_4259,k1_funct_1(U_4261,U_4259))
& r2_hidden(k1_ordinal1(U_4259),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4259) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ! [U_4256] :
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(sK470)
& v1_ordinal2(sK470)
& v5_ordinal1(sK470)
& v1_funct_1(sK470)
& v1_relat_1(sK470)
& v3_ordinal1(sK469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK470]),skolemize(U_4257,sK470)],[f_1508_3]) ).
fof(f_1508_5,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ? [U_4263] :
( k1_funct_1(U_4264,U_4263) != f4_s13_ordinal2(U_4263,k2_ordinal1(U_4264,U_4263))
& U_4263 != k1_xboole_0
& v4_ordinal1(U_4263)
& r2_hidden(U_4263,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4263) )
| ? [U_4262] :
( k1_funct_1(U_4264,k1_ordinal1(U_4262)) != f3_s13_ordinal2(U_4262,k1_funct_1(U_4264,U_4262))
& r2_hidden(k1_ordinal1(U_4262),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4262) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ? [U_4260] :
( k1_funct_1(U_4261,U_4260) != f4_s13_ordinal2(U_4260,k2_ordinal1(U_4261,U_4260))
& U_4260 != k1_xboole_0
& v4_ordinal1(U_4260)
& r2_hidden(U_4260,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4260) )
| ( k1_funct_1(U_4261,k1_ordinal1(sK471(U_4266,U_4265,U_4261))) != f3_s13_ordinal2(sK471(U_4266,U_4265,U_4261),k1_funct_1(U_4261,sK471(U_4266,U_4265,U_4261)))
& r2_hidden(k1_ordinal1(sK471(U_4266,U_4265,U_4261)),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK471(U_4266,U_4265,U_4261)) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ! [U_4256] :
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(sK470)
& v1_ordinal2(sK470)
& v5_ordinal1(sK470)
& v1_funct_1(sK470)
& v1_relat_1(sK470)
& v3_ordinal1(sK469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK471]),skolemize(U_4259,sK471(U_4266,U_4265,U_4261))],[f_1508_4]) ).
fof(f_1508_6,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ? [U_4263] :
( k1_funct_1(U_4264,U_4263) != f4_s13_ordinal2(U_4263,k2_ordinal1(U_4264,U_4263))
& U_4263 != k1_xboole_0
& v4_ordinal1(U_4263)
& r2_hidden(U_4263,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4263) )
| ? [U_4262] :
( k1_funct_1(U_4264,k1_ordinal1(U_4262)) != f3_s13_ordinal2(U_4262,k1_funct_1(U_4264,U_4262))
& r2_hidden(k1_ordinal1(U_4262),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4262) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ( k1_funct_1(U_4261,sK472(U_4266,U_4265,U_4261)) != f4_s13_ordinal2(sK472(U_4266,U_4265,U_4261),k2_ordinal1(U_4261,sK472(U_4266,U_4265,U_4261)))
& sK472(U_4266,U_4265,U_4261) != k1_xboole_0
& v4_ordinal1(sK472(U_4266,U_4265,U_4261))
& r2_hidden(sK472(U_4266,U_4265,U_4261),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK472(U_4266,U_4265,U_4261)) )
| ( k1_funct_1(U_4261,k1_ordinal1(sK471(U_4266,U_4265,U_4261))) != f3_s13_ordinal2(sK471(U_4266,U_4265,U_4261),k1_funct_1(U_4261,sK471(U_4266,U_4265,U_4261)))
& r2_hidden(k1_ordinal1(sK471(U_4266,U_4265,U_4261)),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK471(U_4266,U_4265,U_4261)) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ! [U_4256] :
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(sK470)
& v1_ordinal2(sK470)
& v5_ordinal1(sK470)
& v1_funct_1(sK470)
& v1_relat_1(sK470)
& v3_ordinal1(sK469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK472]),skolemize(U_4260,sK472(U_4266,U_4265,U_4261))],[f_1508_5]) ).
fof(f_1508_7,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ? [U_4263] :
( k1_funct_1(U_4264,U_4263) != f4_s13_ordinal2(U_4263,k2_ordinal1(U_4264,U_4263))
& U_4263 != k1_xboole_0
& v4_ordinal1(U_4263)
& r2_hidden(U_4263,k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(U_4263) )
| ( k1_funct_1(U_4264,k1_ordinal1(sK473(U_4266,U_4265,U_4264))) != f3_s13_ordinal2(sK473(U_4266,U_4265,U_4264),k1_funct_1(U_4264,sK473(U_4266,U_4265,U_4264)))
& r2_hidden(k1_ordinal1(sK473(U_4266,U_4265,U_4264)),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK473(U_4266,U_4265,U_4264)) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ( k1_funct_1(U_4261,sK472(U_4266,U_4265,U_4261)) != f4_s13_ordinal2(sK472(U_4266,U_4265,U_4261),k2_ordinal1(U_4261,sK472(U_4266,U_4265,U_4261)))
& sK472(U_4266,U_4265,U_4261) != k1_xboole_0
& v4_ordinal1(sK472(U_4266,U_4265,U_4261))
& r2_hidden(sK472(U_4266,U_4265,U_4261),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK472(U_4266,U_4265,U_4261)) )
| ( k1_funct_1(U_4261,k1_ordinal1(sK471(U_4266,U_4265,U_4261))) != f3_s13_ordinal2(sK471(U_4266,U_4265,U_4261),k1_funct_1(U_4261,sK471(U_4266,U_4265,U_4261)))
& r2_hidden(k1_ordinal1(sK471(U_4266,U_4265,U_4261)),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK471(U_4266,U_4265,U_4261)) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ! [U_4256] :
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(sK470)
& v1_ordinal2(sK470)
& v5_ordinal1(sK470)
& v1_funct_1(sK470)
& v1_relat_1(sK470)
& v3_ordinal1(sK469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK473]),skolemize(U_4262,sK473(U_4266,U_4265,U_4264))],[f_1508_6]) ).
fof(f_1508_8,plain,
( ! [U_4266] :
( ! [U_4265] :
( U_4266 = U_4265
| ! [U_4264] :
( ( k1_funct_1(U_4264,sK474(U_4266,U_4265,U_4264)) != f4_s13_ordinal2(sK474(U_4266,U_4265,U_4264),k2_ordinal1(U_4264,sK474(U_4266,U_4265,U_4264)))
& sK474(U_4266,U_4265,U_4264) != k1_xboole_0
& v4_ordinal1(sK474(U_4266,U_4265,U_4264))
& r2_hidden(sK474(U_4266,U_4265,U_4264),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK474(U_4266,U_4265,U_4264)) )
| ( k1_funct_1(U_4264,k1_ordinal1(sK473(U_4266,U_4265,U_4264))) != f3_s13_ordinal2(sK473(U_4266,U_4265,U_4264),k1_funct_1(U_4264,sK473(U_4266,U_4265,U_4264)))
& r2_hidden(k1_ordinal1(sK473(U_4266,U_4265,U_4264)),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK473(U_4266,U_4265,U_4264)) )
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264) )
| ! [U_4261] :
( ( k1_funct_1(U_4261,sK472(U_4266,U_4265,U_4261)) != f4_s13_ordinal2(sK472(U_4266,U_4265,U_4261),k2_ordinal1(U_4261,sK472(U_4266,U_4265,U_4261)))
& sK472(U_4266,U_4265,U_4261) != k1_xboole_0
& v4_ordinal1(sK472(U_4266,U_4265,U_4261))
& r2_hidden(sK472(U_4266,U_4265,U_4261),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK472(U_4266,U_4265,U_4261)) )
| ( k1_funct_1(U_4261,k1_ordinal1(sK471(U_4266,U_4265,U_4261))) != f3_s13_ordinal2(sK471(U_4266,U_4265,U_4261),k1_funct_1(U_4261,sK471(U_4266,U_4265,U_4261)))
& r2_hidden(k1_ordinal1(sK471(U_4266,U_4265,U_4261)),k1_ordinal1(f1_s13_ordinal2))
& v3_ordinal1(sK471(U_4266,U_4265,U_4261)) )
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261) )
| ~ v3_ordinal1(U_4265) )
| ~ v3_ordinal1(U_4266) )
& ! [U_4256] :
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(sK470)
& v1_ordinal2(sK470)
& v5_ordinal1(sK470)
& v1_funct_1(sK470)
& v1_relat_1(sK470)
& v3_ordinal1(sK469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK474]),skolemize(U_4263,sK474(U_4266,U_4265,U_4264))],[f_1508_7]) ).
fof(f_1508_9,plain,
( ! [U_4265,U_4266,U_4264] :
( k1_funct_1(U_4264,sK474(U_4266,U_4265,U_4264)) != f4_s13_ordinal2(sK474(U_4266,U_4265,U_4264),k2_ordinal1(U_4264,sK474(U_4266,U_4265,U_4264)))
| ~ sP681(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( sK474(U_4266,U_4265,U_4264) != k1_xboole_0
| ~ sP681(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( v4_ordinal1(sK474(U_4266,U_4265,U_4264))
| ~ sP681(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( r2_hidden(sK474(U_4266,U_4265,U_4264),k1_ordinal1(f1_s13_ordinal2))
| ~ sP681(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( v3_ordinal1(sK474(U_4266,U_4265,U_4264))
| ~ sP681(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( k1_funct_1(U_4264,k1_ordinal1(sK473(U_4266,U_4265,U_4264))) != f3_s13_ordinal2(sK473(U_4266,U_4265,U_4264),k1_funct_1(U_4264,sK473(U_4266,U_4265,U_4264)))
| ~ sP680(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( r2_hidden(k1_ordinal1(sK473(U_4266,U_4265,U_4264)),k1_ordinal1(f1_s13_ordinal2))
| ~ sP680(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4264] :
( v3_ordinal1(sK473(U_4266,U_4265,U_4264))
| ~ sP680(U_4265,U_4266,U_4264) )
& ! [U_4265,U_4266,U_4261] :
( k1_funct_1(U_4261,sK472(U_4266,U_4265,U_4261)) != f4_s13_ordinal2(sK472(U_4266,U_4265,U_4261),k2_ordinal1(U_4261,sK472(U_4266,U_4265,U_4261)))
| ~ sP679(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( sK472(U_4266,U_4265,U_4261) != k1_xboole_0
| ~ sP679(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( v4_ordinal1(sK472(U_4266,U_4265,U_4261))
| ~ sP679(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( r2_hidden(sK472(U_4266,U_4265,U_4261),k1_ordinal1(f1_s13_ordinal2))
| ~ sP679(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( v3_ordinal1(sK472(U_4266,U_4265,U_4261))
| ~ sP679(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( k1_funct_1(U_4261,k1_ordinal1(sK471(U_4266,U_4265,U_4261))) != f3_s13_ordinal2(sK471(U_4266,U_4265,U_4261),k1_funct_1(U_4261,sK471(U_4266,U_4265,U_4261)))
| ~ sP678(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( r2_hidden(k1_ordinal1(sK471(U_4266,U_4265,U_4261)),k1_ordinal1(f1_s13_ordinal2))
| ~ sP678(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4261] :
( v3_ordinal1(sK471(U_4266,U_4265,U_4261))
| ~ sP678(U_4265,U_4266,U_4261) )
& ! [U_4265,U_4266,U_4264,U_4261] :
( U_4266 = U_4265
| sP681(U_4265,U_4266,U_4264)
| sP680(U_4265,U_4266,U_4264)
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264)
| sP679(U_4265,U_4266,U_4261)
| sP678(U_4265,U_4266,U_4261)
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261)
| ~ v3_ordinal1(U_4265)
| ~ v3_ordinal1(U_4266) )
& ! [U_4256] :
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) )
& ! [U_4255] :
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) )
& k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2
& k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2)
& sK469 = k1_ordinal2(sK470)
& v1_ordinal2(sK470)
& v5_ordinal1(sK470)
& v1_funct_1(sK470)
& v1_relat_1(sK470)
& v3_ordinal1(sK469) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP678,sP679,sP680,sP681])],[f_1508_8]) ).
cnf(f_1508_10,plain,
v3_ordinal1(sK469),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_11,plain,
v1_relat_1(sK470),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_12,plain,
v1_funct_1(sK470),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_13,plain,
v5_ordinal1(sK470),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_14,plain,
v1_ordinal2(sK470),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_15,plain,
sK469 = k1_ordinal2(sK470),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_16,plain,
k1_relat_1(sK470) = k1_ordinal1(f1_s13_ordinal2),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_17,plain,
k1_funct_1(sK470,k1_xboole_0) = f2_s13_ordinal2,
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_18,plain,
( k1_funct_1(sK470,k1_ordinal1(U_4255)) = f3_s13_ordinal2(U_4255,k1_funct_1(sK470,U_4255))
| ~ r2_hidden(k1_ordinal1(U_4255),k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4255) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_19,plain,
( k1_funct_1(sK470,U_4256) = f4_s13_ordinal2(U_4256,k2_ordinal1(sK470,U_4256))
| U_4256 = k1_xboole_0
| ~ v4_ordinal1(U_4256)
| ~ r2_hidden(U_4256,k1_ordinal1(f1_s13_ordinal2))
| ~ v3_ordinal1(U_4256) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_20,plain,
( U_4266 = U_4265
| sP681(U_4265,U_4266,U_4264)
| sP680(U_4265,U_4266,U_4264)
| k1_funct_1(U_4264,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4264) != k1_ordinal1(f1_s13_ordinal2)
| U_4265 != k1_ordinal2(U_4264)
| ~ v1_ordinal2(U_4264)
| ~ v5_ordinal1(U_4264)
| ~ v1_funct_1(U_4264)
| ~ v1_relat_1(U_4264)
| sP679(U_4265,U_4266,U_4261)
| sP678(U_4265,U_4266,U_4261)
| k1_funct_1(U_4261,k1_xboole_0) != f2_s13_ordinal2
| k1_relat_1(U_4261) != k1_ordinal1(f1_s13_ordinal2)
| U_4266 != k1_ordinal2(U_4261)
| ~ v1_ordinal2(U_4261)
| ~ v5_ordinal1(U_4261)
| ~ v1_funct_1(U_4261)
| ~ v1_relat_1(U_4261)
| ~ v3_ordinal1(U_4265)
| ~ v3_ordinal1(U_4266) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_21,plain,
( v3_ordinal1(sK471(U_4266,U_4265,U_4261))
| ~ sP678(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_22,plain,
( r2_hidden(k1_ordinal1(sK471(U_4266,U_4265,U_4261)),k1_ordinal1(f1_s13_ordinal2))
| ~ sP678(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_23,plain,
( k1_funct_1(U_4261,k1_ordinal1(sK471(U_4266,U_4265,U_4261))) != f3_s13_ordinal2(sK471(U_4266,U_4265,U_4261),k1_funct_1(U_4261,sK471(U_4266,U_4265,U_4261)))
| ~ sP678(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_24,plain,
( v3_ordinal1(sK472(U_4266,U_4265,U_4261))
| ~ sP679(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_25,plain,
( r2_hidden(sK472(U_4266,U_4265,U_4261),k1_ordinal1(f1_s13_ordinal2))
| ~ sP679(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_26,plain,
( v4_ordinal1(sK472(U_4266,U_4265,U_4261))
| ~ sP679(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_27,plain,
( sK472(U_4266,U_4265,U_4261) != k1_xboole_0
| ~ sP679(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_28,plain,
( k1_funct_1(U_4261,sK472(U_4266,U_4265,U_4261)) != f4_s13_ordinal2(sK472(U_4266,U_4265,U_4261),k2_ordinal1(U_4261,sK472(U_4266,U_4265,U_4261)))
| ~ sP679(U_4265,U_4266,U_4261) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_29,plain,
( v3_ordinal1(sK473(U_4266,U_4265,U_4264))
| ~ sP680(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_30,plain,
( r2_hidden(k1_ordinal1(sK473(U_4266,U_4265,U_4264)),k1_ordinal1(f1_s13_ordinal2))
| ~ sP680(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_31,plain,
( k1_funct_1(U_4264,k1_ordinal1(sK473(U_4266,U_4265,U_4264))) != f3_s13_ordinal2(sK473(U_4266,U_4265,U_4264),k1_funct_1(U_4264,sK473(U_4266,U_4265,U_4264)))
| ~ sP680(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_32,plain,
( v3_ordinal1(sK474(U_4266,U_4265,U_4264))
| ~ sP681(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_33,plain,
( r2_hidden(sK474(U_4266,U_4265,U_4264),k1_ordinal1(f1_s13_ordinal2))
| ~ sP681(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_34,plain,
( v4_ordinal1(sK474(U_4266,U_4265,U_4264))
| ~ sP681(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_35,plain,
( sK474(U_4266,U_4265,U_4264) != k1_xboole_0
| ~ sP681(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
cnf(f_1508_36,plain,
( k1_funct_1(U_4264,sK474(U_4266,U_4265,U_4264)) != f4_s13_ordinal2(sK474(U_4266,U_4265,U_4264),k2_ordinal1(U_4264,sK474(U_4266,U_4265,U_4264)))
| ~ sP681(U_4265,U_4266,U_4264) ),
inference(clausify,[status(thm)],[f_1508_9]) ).
fof(f_1509_1,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ? [A] :
( ? [B] :
( ( ( B != f1_s14_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f4_s14_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f3_s14_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f4_s14_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f3_s14_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f1_s14_ordinal2(A) ) )
& v3_ordinal1(B) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s14_ordinal2]) ).
fof(f_1509_2,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ? [U_4274] :
( ? [U_4273] :
( ( ( U_4273 != f1_s14_ordinal2(U_4274)
& ? [U_4272] :
( ! [U_4271] :
( k1_funct_1(U_4272,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(U_4272,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(U_4274))
| ~ v3_ordinal1(U_4271) )
& ! [U_4270] :
( k1_funct_1(U_4272,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(U_4272,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(U_4274))
| ~ v3_ordinal1(U_4270) )
& k1_funct_1(U_4272,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(U_4272) = k1_ordinal1(U_4274)
& U_4273 = k1_ordinal2(U_4272)
& v1_ordinal2(U_4272)
& v5_ordinal1(U_4272)
& v1_funct_1(U_4272)
& v1_relat_1(U_4272) ) )
| ( ! [U_4269] :
( ? [U_4268] :
( k1_funct_1(U_4269,U_4268) != f4_s14_ordinal2(U_4268,k2_ordinal1(U_4269,U_4268))
& U_4268 != k1_xboole_0
& v4_ordinal1(U_4268)
& r2_hidden(U_4268,k1_ordinal1(U_4274))
& v3_ordinal1(U_4268) )
| ? [U_4267] :
( k1_funct_1(U_4269,k1_ordinal1(U_4267)) != f3_s14_ordinal2(U_4267,k1_funct_1(U_4269,U_4267))
& r2_hidden(k1_ordinal1(U_4267),k1_ordinal1(U_4274))
& v3_ordinal1(U_4267) )
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(U_4274)
| U_4273 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269) )
& U_4273 = f1_s14_ordinal2(U_4274) ) )
& v3_ordinal1(U_4273) )
& v3_ordinal1(U_4274) ) ),
inference(variable_rename,[status(thm)],[f_1509_1]) ).
fof(f_1509_3,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ( ? [U_4273] :
( ( ( U_4273 != f1_s14_ordinal2(sK475)
& ? [U_4272] :
( ! [U_4271] :
( k1_funct_1(U_4272,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(U_4272,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271) )
& ! [U_4270] :
( k1_funct_1(U_4272,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(U_4272,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270) )
& k1_funct_1(U_4272,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(U_4272) = k1_ordinal1(sK475)
& U_4273 = k1_ordinal2(U_4272)
& v1_ordinal2(U_4272)
& v5_ordinal1(U_4272)
& v1_funct_1(U_4272)
& v1_relat_1(U_4272) ) )
| ( ! [U_4269] :
( ? [U_4268] :
( k1_funct_1(U_4269,U_4268) != f4_s14_ordinal2(U_4268,k2_ordinal1(U_4269,U_4268))
& U_4268 != k1_xboole_0
& v4_ordinal1(U_4268)
& r2_hidden(U_4268,k1_ordinal1(sK475))
& v3_ordinal1(U_4268) )
| ? [U_4267] :
( k1_funct_1(U_4269,k1_ordinal1(U_4267)) != f3_s14_ordinal2(U_4267,k1_funct_1(U_4269,U_4267))
& r2_hidden(k1_ordinal1(U_4267),k1_ordinal1(sK475))
& v3_ordinal1(U_4267) )
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| U_4273 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269) )
& U_4273 = f1_s14_ordinal2(sK475) ) )
& v3_ordinal1(U_4273) )
& v3_ordinal1(sK475) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK475]),skolemize(U_4274,sK475)],[f_1509_2]) ).
fof(f_1509_4,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ( ( ( sK476 != f1_s14_ordinal2(sK475)
& ? [U_4272] :
( ! [U_4271] :
( k1_funct_1(U_4272,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(U_4272,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271) )
& ! [U_4270] :
( k1_funct_1(U_4272,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(U_4272,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270) )
& k1_funct_1(U_4272,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(U_4272) = k1_ordinal1(sK475)
& sK476 = k1_ordinal2(U_4272)
& v1_ordinal2(U_4272)
& v5_ordinal1(U_4272)
& v1_funct_1(U_4272)
& v1_relat_1(U_4272) ) )
| ( ! [U_4269] :
( ? [U_4268] :
( k1_funct_1(U_4269,U_4268) != f4_s14_ordinal2(U_4268,k2_ordinal1(U_4269,U_4268))
& U_4268 != k1_xboole_0
& v4_ordinal1(U_4268)
& r2_hidden(U_4268,k1_ordinal1(sK475))
& v3_ordinal1(U_4268) )
| ? [U_4267] :
( k1_funct_1(U_4269,k1_ordinal1(U_4267)) != f3_s14_ordinal2(U_4267,k1_funct_1(U_4269,U_4267))
& r2_hidden(k1_ordinal1(U_4267),k1_ordinal1(sK475))
& v3_ordinal1(U_4267) )
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| sK476 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269) )
& sK476 = f1_s14_ordinal2(sK475) ) )
& v3_ordinal1(sK476)
& v3_ordinal1(sK475) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK476]),skolemize(U_4273,sK476)],[f_1509_3]) ).
fof(f_1509_5,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ( ( ( sK476 != f1_s14_ordinal2(sK475)
& ? [U_4272] :
( ! [U_4271] :
( k1_funct_1(U_4272,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(U_4272,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271) )
& ! [U_4270] :
( k1_funct_1(U_4272,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(U_4272,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270) )
& k1_funct_1(U_4272,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(U_4272) = k1_ordinal1(sK475)
& sK476 = k1_ordinal2(U_4272)
& v1_ordinal2(U_4272)
& v5_ordinal1(U_4272)
& v1_funct_1(U_4272)
& v1_relat_1(U_4272) ) )
| ( ! [U_4269] :
( ? [U_4268] :
( k1_funct_1(U_4269,U_4268) != f4_s14_ordinal2(U_4268,k2_ordinal1(U_4269,U_4268))
& U_4268 != k1_xboole_0
& v4_ordinal1(U_4268)
& r2_hidden(U_4268,k1_ordinal1(sK475))
& v3_ordinal1(U_4268) )
| ( k1_funct_1(U_4269,k1_ordinal1(sK477(U_4269))) != f3_s14_ordinal2(sK477(U_4269),k1_funct_1(U_4269,sK477(U_4269)))
& r2_hidden(k1_ordinal1(sK477(U_4269)),k1_ordinal1(sK475))
& v3_ordinal1(sK477(U_4269)) )
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| sK476 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269) )
& sK476 = f1_s14_ordinal2(sK475) ) )
& v3_ordinal1(sK476)
& v3_ordinal1(sK475) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK477]),skolemize(U_4267,sK477(U_4269))],[f_1509_4]) ).
fof(f_1509_6,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ( ( ( sK476 != f1_s14_ordinal2(sK475)
& ? [U_4272] :
( ! [U_4271] :
( k1_funct_1(U_4272,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(U_4272,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271) )
& ! [U_4270] :
( k1_funct_1(U_4272,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(U_4272,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270) )
& k1_funct_1(U_4272,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(U_4272) = k1_ordinal1(sK475)
& sK476 = k1_ordinal2(U_4272)
& v1_ordinal2(U_4272)
& v5_ordinal1(U_4272)
& v1_funct_1(U_4272)
& v1_relat_1(U_4272) ) )
| ( ! [U_4269] :
( ( k1_funct_1(U_4269,sK478(U_4269)) != f4_s14_ordinal2(sK478(U_4269),k2_ordinal1(U_4269,sK478(U_4269)))
& sK478(U_4269) != k1_xboole_0
& v4_ordinal1(sK478(U_4269))
& r2_hidden(sK478(U_4269),k1_ordinal1(sK475))
& v3_ordinal1(sK478(U_4269)) )
| ( k1_funct_1(U_4269,k1_ordinal1(sK477(U_4269))) != f3_s14_ordinal2(sK477(U_4269),k1_funct_1(U_4269,sK477(U_4269)))
& r2_hidden(k1_ordinal1(sK477(U_4269)),k1_ordinal1(sK475))
& v3_ordinal1(sK477(U_4269)) )
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| sK476 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269) )
& sK476 = f1_s14_ordinal2(sK475) ) )
& v3_ordinal1(sK476)
& v3_ordinal1(sK475) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK478]),skolemize(U_4268,sK478(U_4269))],[f_1509_5]) ).
fof(f_1509_7,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| ( ( ( sK476 != f1_s14_ordinal2(sK475)
& ! [U_4271] :
( k1_funct_1(sK479,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(sK479,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271) )
& ! [U_4270] :
( k1_funct_1(sK479,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(sK479,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270) )
& k1_funct_1(sK479,k1_xboole_0) = f2_s14_ordinal2
& k1_relat_1(sK479) = k1_ordinal1(sK475)
& sK476 = k1_ordinal2(sK479)
& v1_ordinal2(sK479)
& v5_ordinal1(sK479)
& v1_funct_1(sK479)
& v1_relat_1(sK479) )
| ( ! [U_4269] :
( ( k1_funct_1(U_4269,sK478(U_4269)) != f4_s14_ordinal2(sK478(U_4269),k2_ordinal1(U_4269,sK478(U_4269)))
& sK478(U_4269) != k1_xboole_0
& v4_ordinal1(sK478(U_4269))
& r2_hidden(sK478(U_4269),k1_ordinal1(sK475))
& v3_ordinal1(sK478(U_4269)) )
| ( k1_funct_1(U_4269,k1_ordinal1(sK477(U_4269))) != f3_s14_ordinal2(sK477(U_4269),k1_funct_1(U_4269,sK477(U_4269)))
& r2_hidden(k1_ordinal1(sK477(U_4269)),k1_ordinal1(sK475))
& v3_ordinal1(sK477(U_4269)) )
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| sK476 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269) )
& sK476 = f1_s14_ordinal2(sK475) ) )
& v3_ordinal1(sK476)
& v3_ordinal1(sK475) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK479]),skolemize(U_4272,sK479)],[f_1509_6]) ).
fof(f_1509_8,plain,
( ! [U_4270,U_4271] :
( sK476 != f1_s14_ordinal2(sK475)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( k1_funct_1(sK479,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(sK479,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( k1_funct_1(sK479,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(sK479,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( k1_funct_1(sK479,k1_xboole_0) = f2_s14_ordinal2
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( k1_relat_1(sK479) = k1_ordinal1(sK475)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( sK476 = k1_ordinal2(sK479)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( v1_ordinal2(sK479)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( v5_ordinal1(sK479)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( v1_funct_1(sK479)
| ~ sP685(U_4270,U_4271) )
& ! [U_4270,U_4271] :
( v1_relat_1(sK479)
| ~ sP685(U_4270,U_4271) )
& ! [U_4269] :
( k1_funct_1(U_4269,sK478(U_4269)) != f4_s14_ordinal2(sK478(U_4269),k2_ordinal1(U_4269,sK478(U_4269)))
| ~ sP683(U_4269) )
& ! [U_4269] :
( sK478(U_4269) != k1_xboole_0
| ~ sP683(U_4269) )
& ! [U_4269] :
( v4_ordinal1(sK478(U_4269))
| ~ sP683(U_4269) )
& ! [U_4269] :
( r2_hidden(sK478(U_4269),k1_ordinal1(sK475))
| ~ sP683(U_4269) )
& ! [U_4269] :
( v3_ordinal1(sK478(U_4269))
| ~ sP683(U_4269) )
& ! [U_4269] :
( k1_funct_1(U_4269,k1_ordinal1(sK477(U_4269))) != f3_s14_ordinal2(sK477(U_4269),k1_funct_1(U_4269,sK477(U_4269)))
| ~ sP682(U_4269) )
& ! [U_4269] :
( r2_hidden(k1_ordinal1(sK477(U_4269)),k1_ordinal1(sK475))
| ~ sP682(U_4269) )
& ! [U_4269] :
( v3_ordinal1(sK477(U_4269))
| ~ sP682(U_4269) )
& ! [U_4269] :
( sP683(U_4269)
| sP682(U_4269)
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| sK476 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269)
| ~ sP684(U_4269) )
& ! [U_4269] :
( sK476 = f1_s14_ordinal2(sK475)
| ~ sP684(U_4269) )
& ! [U_4269,U_4270,U_4271] :
( sP685(U_4270,U_4271)
| sP684(U_4269)
| ~ sP686(U_4269,U_4270,U_4271) )
& ! [U_4269,U_4270,U_4271] :
( v3_ordinal1(sK476)
| ~ sP686(U_4269,U_4270,U_4271) )
& ! [U_4269,U_4270,U_4271] :
( v3_ordinal1(sK475)
| ~ sP686(U_4269,U_4270,U_4271) )
& ! [U_4269,U_4270,U_4271] :
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| sP686(U_4269,U_4270,U_4271) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP682,sP683,sP684,sP685,sP686])],[f_1509_7]) ).
cnf(f_1509_9,plain,
( f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2
| sP686(U_4269,U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_10,plain,
( v3_ordinal1(sK475)
| ~ sP686(U_4269,U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_11,plain,
( v3_ordinal1(sK476)
| ~ sP686(U_4269,U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_12,plain,
( sP685(U_4270,U_4271)
| sP684(U_4269)
| ~ sP686(U_4269,U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_13,plain,
( sK476 = f1_s14_ordinal2(sK475)
| ~ sP684(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_14,plain,
( sP683(U_4269)
| sP682(U_4269)
| k1_funct_1(U_4269,k1_xboole_0) != f2_s14_ordinal2
| k1_relat_1(U_4269) != k1_ordinal1(sK475)
| sK476 != k1_ordinal2(U_4269)
| ~ v1_ordinal2(U_4269)
| ~ v5_ordinal1(U_4269)
| ~ v1_funct_1(U_4269)
| ~ v1_relat_1(U_4269)
| ~ sP684(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_15,plain,
( v3_ordinal1(sK477(U_4269))
| ~ sP682(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_16,plain,
( r2_hidden(k1_ordinal1(sK477(U_4269)),k1_ordinal1(sK475))
| ~ sP682(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_17,plain,
( k1_funct_1(U_4269,k1_ordinal1(sK477(U_4269))) != f3_s14_ordinal2(sK477(U_4269),k1_funct_1(U_4269,sK477(U_4269)))
| ~ sP682(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_18,plain,
( v3_ordinal1(sK478(U_4269))
| ~ sP683(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_19,plain,
( r2_hidden(sK478(U_4269),k1_ordinal1(sK475))
| ~ sP683(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_20,plain,
( v4_ordinal1(sK478(U_4269))
| ~ sP683(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_21,plain,
( sK478(U_4269) != k1_xboole_0
| ~ sP683(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_22,plain,
( k1_funct_1(U_4269,sK478(U_4269)) != f4_s14_ordinal2(sK478(U_4269),k2_ordinal1(U_4269,sK478(U_4269)))
| ~ sP683(U_4269) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_23,plain,
( v1_relat_1(sK479)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_24,plain,
( v1_funct_1(sK479)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_25,plain,
( v5_ordinal1(sK479)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_26,plain,
( v1_ordinal2(sK479)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_27,plain,
( sK476 = k1_ordinal2(sK479)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_28,plain,
( k1_relat_1(sK479) = k1_ordinal1(sK475)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_29,plain,
( k1_funct_1(sK479,k1_xboole_0) = f2_s14_ordinal2
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_30,plain,
( k1_funct_1(sK479,k1_ordinal1(U_4270)) = f3_s14_ordinal2(U_4270,k1_funct_1(sK479,U_4270))
| ~ r2_hidden(k1_ordinal1(U_4270),k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4270)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_31,plain,
( k1_funct_1(sK479,U_4271) = f4_s14_ordinal2(U_4271,k2_ordinal1(sK479,U_4271))
| U_4271 = k1_xboole_0
| ~ v4_ordinal1(U_4271)
| ~ r2_hidden(U_4271,k1_ordinal1(sK475))
| ~ v3_ordinal1(U_4271)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
cnf(f_1509_32,plain,
( sK476 != f1_s14_ordinal2(sK475)
| ~ sP685(U_4270,U_4271) ),
inference(clausify,[status(thm)],[f_1509_8]) ).
fof(f_1510_1,plain,
( ! [A] :
( f4_s15_ordinal2(k1_ordinal1(A)) = f2_s15_ordinal2(A,f4_s15_ordinal2(A))
| ~ v3_ordinal1(A) )
| ? [A] :
( ? [B] :
( ( ( B != f4_s15_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f3_s15_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f2_s15_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f3_s15_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f2_s15_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f4_s15_ordinal2(A) ) )
& v3_ordinal1(B) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s15_ordinal2]) ).
fof(f_1510_2,plain,
( ! [U_4283] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283) )
| ? [U_4282] :
( ? [U_4281] :
( ( ( U_4281 != f4_s15_ordinal2(U_4282)
& ? [U_4280] :
( ! [U_4279] :
( k1_funct_1(U_4280,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(U_4280,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(U_4282))
| ~ v3_ordinal1(U_4279) )
& ! [U_4278] :
( k1_funct_1(U_4280,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(U_4280,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(U_4282))
| ~ v3_ordinal1(U_4278) )
& k1_funct_1(U_4280,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(U_4280) = k1_ordinal1(U_4282)
& U_4281 = k1_ordinal2(U_4280)
& v1_ordinal2(U_4280)
& v5_ordinal1(U_4280)
& v1_funct_1(U_4280)
& v1_relat_1(U_4280) ) )
| ( ! [U_4277] :
( ? [U_4276] :
( k1_funct_1(U_4277,U_4276) != f3_s15_ordinal2(U_4276,k2_ordinal1(U_4277,U_4276))
& U_4276 != k1_xboole_0
& v4_ordinal1(U_4276)
& r2_hidden(U_4276,k1_ordinal1(U_4282))
& v3_ordinal1(U_4276) )
| ? [U_4275] :
( k1_funct_1(U_4277,k1_ordinal1(U_4275)) != f2_s15_ordinal2(U_4275,k1_funct_1(U_4277,U_4275))
& r2_hidden(k1_ordinal1(U_4275),k1_ordinal1(U_4282))
& v3_ordinal1(U_4275) )
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(U_4282)
| U_4281 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277) )
& U_4281 = f4_s15_ordinal2(U_4282) ) )
& v3_ordinal1(U_4281) )
& v3_ordinal1(U_4282) ) ),
inference(variable_rename,[status(thm)],[f_1510_1]) ).
fof(f_1510_3,plain,
( ! [U_4283] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283) )
| ( ? [U_4281] :
( ( ( U_4281 != f4_s15_ordinal2(sK480)
& ? [U_4280] :
( ! [U_4279] :
( k1_funct_1(U_4280,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(U_4280,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279) )
& ! [U_4278] :
( k1_funct_1(U_4280,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(U_4280,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278) )
& k1_funct_1(U_4280,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(U_4280) = k1_ordinal1(sK480)
& U_4281 = k1_ordinal2(U_4280)
& v1_ordinal2(U_4280)
& v5_ordinal1(U_4280)
& v1_funct_1(U_4280)
& v1_relat_1(U_4280) ) )
| ( ! [U_4277] :
( ? [U_4276] :
( k1_funct_1(U_4277,U_4276) != f3_s15_ordinal2(U_4276,k2_ordinal1(U_4277,U_4276))
& U_4276 != k1_xboole_0
& v4_ordinal1(U_4276)
& r2_hidden(U_4276,k1_ordinal1(sK480))
& v3_ordinal1(U_4276) )
| ? [U_4275] :
( k1_funct_1(U_4277,k1_ordinal1(U_4275)) != f2_s15_ordinal2(U_4275,k1_funct_1(U_4277,U_4275))
& r2_hidden(k1_ordinal1(U_4275),k1_ordinal1(sK480))
& v3_ordinal1(U_4275) )
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| U_4281 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277) )
& U_4281 = f4_s15_ordinal2(sK480) ) )
& v3_ordinal1(U_4281) )
& v3_ordinal1(sK480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK480]),skolemize(U_4282,sK480)],[f_1510_2]) ).
fof(f_1510_4,plain,
( ! [U_4283] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283) )
| ( ( ( sK481 != f4_s15_ordinal2(sK480)
& ? [U_4280] :
( ! [U_4279] :
( k1_funct_1(U_4280,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(U_4280,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279) )
& ! [U_4278] :
( k1_funct_1(U_4280,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(U_4280,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278) )
& k1_funct_1(U_4280,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(U_4280) = k1_ordinal1(sK480)
& sK481 = k1_ordinal2(U_4280)
& v1_ordinal2(U_4280)
& v5_ordinal1(U_4280)
& v1_funct_1(U_4280)
& v1_relat_1(U_4280) ) )
| ( ! [U_4277] :
( ? [U_4276] :
( k1_funct_1(U_4277,U_4276) != f3_s15_ordinal2(U_4276,k2_ordinal1(U_4277,U_4276))
& U_4276 != k1_xboole_0
& v4_ordinal1(U_4276)
& r2_hidden(U_4276,k1_ordinal1(sK480))
& v3_ordinal1(U_4276) )
| ? [U_4275] :
( k1_funct_1(U_4277,k1_ordinal1(U_4275)) != f2_s15_ordinal2(U_4275,k1_funct_1(U_4277,U_4275))
& r2_hidden(k1_ordinal1(U_4275),k1_ordinal1(sK480))
& v3_ordinal1(U_4275) )
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| sK481 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277) )
& sK481 = f4_s15_ordinal2(sK480) ) )
& v3_ordinal1(sK481)
& v3_ordinal1(sK480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK481]),skolemize(U_4281,sK481)],[f_1510_3]) ).
fof(f_1510_5,plain,
( ! [U_4283] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283) )
| ( ( ( sK481 != f4_s15_ordinal2(sK480)
& ? [U_4280] :
( ! [U_4279] :
( k1_funct_1(U_4280,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(U_4280,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279) )
& ! [U_4278] :
( k1_funct_1(U_4280,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(U_4280,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278) )
& k1_funct_1(U_4280,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(U_4280) = k1_ordinal1(sK480)
& sK481 = k1_ordinal2(U_4280)
& v1_ordinal2(U_4280)
& v5_ordinal1(U_4280)
& v1_funct_1(U_4280)
& v1_relat_1(U_4280) ) )
| ( ! [U_4277] :
( ? [U_4276] :
( k1_funct_1(U_4277,U_4276) != f3_s15_ordinal2(U_4276,k2_ordinal1(U_4277,U_4276))
& U_4276 != k1_xboole_0
& v4_ordinal1(U_4276)
& r2_hidden(U_4276,k1_ordinal1(sK480))
& v3_ordinal1(U_4276) )
| ( k1_funct_1(U_4277,k1_ordinal1(sK482(U_4277))) != f2_s15_ordinal2(sK482(U_4277),k1_funct_1(U_4277,sK482(U_4277)))
& r2_hidden(k1_ordinal1(sK482(U_4277)),k1_ordinal1(sK480))
& v3_ordinal1(sK482(U_4277)) )
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| sK481 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277) )
& sK481 = f4_s15_ordinal2(sK480) ) )
& v3_ordinal1(sK481)
& v3_ordinal1(sK480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK482]),skolemize(U_4275,sK482(U_4277))],[f_1510_4]) ).
fof(f_1510_6,plain,
( ! [U_4283] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283) )
| ( ( ( sK481 != f4_s15_ordinal2(sK480)
& ? [U_4280] :
( ! [U_4279] :
( k1_funct_1(U_4280,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(U_4280,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279) )
& ! [U_4278] :
( k1_funct_1(U_4280,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(U_4280,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278) )
& k1_funct_1(U_4280,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(U_4280) = k1_ordinal1(sK480)
& sK481 = k1_ordinal2(U_4280)
& v1_ordinal2(U_4280)
& v5_ordinal1(U_4280)
& v1_funct_1(U_4280)
& v1_relat_1(U_4280) ) )
| ( ! [U_4277] :
( ( k1_funct_1(U_4277,sK483(U_4277)) != f3_s15_ordinal2(sK483(U_4277),k2_ordinal1(U_4277,sK483(U_4277)))
& sK483(U_4277) != k1_xboole_0
& v4_ordinal1(sK483(U_4277))
& r2_hidden(sK483(U_4277),k1_ordinal1(sK480))
& v3_ordinal1(sK483(U_4277)) )
| ( k1_funct_1(U_4277,k1_ordinal1(sK482(U_4277))) != f2_s15_ordinal2(sK482(U_4277),k1_funct_1(U_4277,sK482(U_4277)))
& r2_hidden(k1_ordinal1(sK482(U_4277)),k1_ordinal1(sK480))
& v3_ordinal1(sK482(U_4277)) )
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| sK481 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277) )
& sK481 = f4_s15_ordinal2(sK480) ) )
& v3_ordinal1(sK481)
& v3_ordinal1(sK480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK483]),skolemize(U_4276,sK483(U_4277))],[f_1510_5]) ).
fof(f_1510_7,plain,
( ! [U_4283] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283) )
| ( ( ( sK481 != f4_s15_ordinal2(sK480)
& ! [U_4279] :
( k1_funct_1(sK484,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(sK484,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279) )
& ! [U_4278] :
( k1_funct_1(sK484,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(sK484,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278) )
& k1_funct_1(sK484,k1_xboole_0) = f1_s15_ordinal2
& k1_relat_1(sK484) = k1_ordinal1(sK480)
& sK481 = k1_ordinal2(sK484)
& v1_ordinal2(sK484)
& v5_ordinal1(sK484)
& v1_funct_1(sK484)
& v1_relat_1(sK484) )
| ( ! [U_4277] :
( ( k1_funct_1(U_4277,sK483(U_4277)) != f3_s15_ordinal2(sK483(U_4277),k2_ordinal1(U_4277,sK483(U_4277)))
& sK483(U_4277) != k1_xboole_0
& v4_ordinal1(sK483(U_4277))
& r2_hidden(sK483(U_4277),k1_ordinal1(sK480))
& v3_ordinal1(sK483(U_4277)) )
| ( k1_funct_1(U_4277,k1_ordinal1(sK482(U_4277))) != f2_s15_ordinal2(sK482(U_4277),k1_funct_1(U_4277,sK482(U_4277)))
& r2_hidden(k1_ordinal1(sK482(U_4277)),k1_ordinal1(sK480))
& v3_ordinal1(sK482(U_4277)) )
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| sK481 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277) )
& sK481 = f4_s15_ordinal2(sK480) ) )
& v3_ordinal1(sK481)
& v3_ordinal1(sK480) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK484]),skolemize(U_4280,sK484)],[f_1510_6]) ).
fof(f_1510_8,plain,
( ! [U_4279,U_4278] :
( sK481 != f4_s15_ordinal2(sK480)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( k1_funct_1(sK484,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(sK484,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( k1_funct_1(sK484,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(sK484,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( k1_funct_1(sK484,k1_xboole_0) = f1_s15_ordinal2
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( k1_relat_1(sK484) = k1_ordinal1(sK480)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( sK481 = k1_ordinal2(sK484)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( v1_ordinal2(sK484)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( v5_ordinal1(sK484)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( v1_funct_1(sK484)
| ~ sP690(U_4279,U_4278) )
& ! [U_4279,U_4278] :
( v1_relat_1(sK484)
| ~ sP690(U_4279,U_4278) )
& ! [U_4277] :
( k1_funct_1(U_4277,sK483(U_4277)) != f3_s15_ordinal2(sK483(U_4277),k2_ordinal1(U_4277,sK483(U_4277)))
| ~ sP688(U_4277) )
& ! [U_4277] :
( sK483(U_4277) != k1_xboole_0
| ~ sP688(U_4277) )
& ! [U_4277] :
( v4_ordinal1(sK483(U_4277))
| ~ sP688(U_4277) )
& ! [U_4277] :
( r2_hidden(sK483(U_4277),k1_ordinal1(sK480))
| ~ sP688(U_4277) )
& ! [U_4277] :
( v3_ordinal1(sK483(U_4277))
| ~ sP688(U_4277) )
& ! [U_4277] :
( k1_funct_1(U_4277,k1_ordinal1(sK482(U_4277))) != f2_s15_ordinal2(sK482(U_4277),k1_funct_1(U_4277,sK482(U_4277)))
| ~ sP687(U_4277) )
& ! [U_4277] :
( r2_hidden(k1_ordinal1(sK482(U_4277)),k1_ordinal1(sK480))
| ~ sP687(U_4277) )
& ! [U_4277] :
( v3_ordinal1(sK482(U_4277))
| ~ sP687(U_4277) )
& ! [U_4277] :
( sP688(U_4277)
| sP687(U_4277)
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| sK481 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277)
| ~ sP689(U_4277) )
& ! [U_4277] :
( sK481 = f4_s15_ordinal2(sK480)
| ~ sP689(U_4277) )
& ! [U_4279,U_4277,U_4278] :
( sP690(U_4279,U_4278)
| sP689(U_4277)
| ~ sP691(U_4279,U_4277,U_4278) )
& ! [U_4279,U_4277,U_4278] :
( v3_ordinal1(sK481)
| ~ sP691(U_4279,U_4277,U_4278) )
& ! [U_4279,U_4277,U_4278] :
( v3_ordinal1(sK480)
| ~ sP691(U_4279,U_4277,U_4278) )
& ! [U_4279,U_4277,U_4283,U_4278] :
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283)
| sP691(U_4279,U_4277,U_4278) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP687,sP688,sP689,sP690,sP691])],[f_1510_7]) ).
cnf(f_1510_9,plain,
( f4_s15_ordinal2(k1_ordinal1(U_4283)) = f2_s15_ordinal2(U_4283,f4_s15_ordinal2(U_4283))
| ~ v3_ordinal1(U_4283)
| sP691(U_4279,U_4277,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_10,plain,
( v3_ordinal1(sK480)
| ~ sP691(U_4279,U_4277,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_11,plain,
( v3_ordinal1(sK481)
| ~ sP691(U_4279,U_4277,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_12,plain,
( sP690(U_4279,U_4278)
| sP689(U_4277)
| ~ sP691(U_4279,U_4277,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_13,plain,
( sK481 = f4_s15_ordinal2(sK480)
| ~ sP689(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_14,plain,
( sP688(U_4277)
| sP687(U_4277)
| k1_funct_1(U_4277,k1_xboole_0) != f1_s15_ordinal2
| k1_relat_1(U_4277) != k1_ordinal1(sK480)
| sK481 != k1_ordinal2(U_4277)
| ~ v1_ordinal2(U_4277)
| ~ v5_ordinal1(U_4277)
| ~ v1_funct_1(U_4277)
| ~ v1_relat_1(U_4277)
| ~ sP689(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_15,plain,
( v3_ordinal1(sK482(U_4277))
| ~ sP687(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_16,plain,
( r2_hidden(k1_ordinal1(sK482(U_4277)),k1_ordinal1(sK480))
| ~ sP687(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_17,plain,
( k1_funct_1(U_4277,k1_ordinal1(sK482(U_4277))) != f2_s15_ordinal2(sK482(U_4277),k1_funct_1(U_4277,sK482(U_4277)))
| ~ sP687(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_18,plain,
( v3_ordinal1(sK483(U_4277))
| ~ sP688(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_19,plain,
( r2_hidden(sK483(U_4277),k1_ordinal1(sK480))
| ~ sP688(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_20,plain,
( v4_ordinal1(sK483(U_4277))
| ~ sP688(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_21,plain,
( sK483(U_4277) != k1_xboole_0
| ~ sP688(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_22,plain,
( k1_funct_1(U_4277,sK483(U_4277)) != f3_s15_ordinal2(sK483(U_4277),k2_ordinal1(U_4277,sK483(U_4277)))
| ~ sP688(U_4277) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_23,plain,
( v1_relat_1(sK484)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_24,plain,
( v1_funct_1(sK484)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_25,plain,
( v5_ordinal1(sK484)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_26,plain,
( v1_ordinal2(sK484)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_27,plain,
( sK481 = k1_ordinal2(sK484)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_28,plain,
( k1_relat_1(sK484) = k1_ordinal1(sK480)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_29,plain,
( k1_funct_1(sK484,k1_xboole_0) = f1_s15_ordinal2
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_30,plain,
( k1_funct_1(sK484,k1_ordinal1(U_4278)) = f2_s15_ordinal2(U_4278,k1_funct_1(sK484,U_4278))
| ~ r2_hidden(k1_ordinal1(U_4278),k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4278)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_31,plain,
( k1_funct_1(sK484,U_4279) = f3_s15_ordinal2(U_4279,k2_ordinal1(sK484,U_4279))
| U_4279 = k1_xboole_0
| ~ v4_ordinal1(U_4279)
| ~ r2_hidden(U_4279,k1_ordinal1(sK480))
| ~ v3_ordinal1(U_4279)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
cnf(f_1510_32,plain,
( sK481 != f4_s15_ordinal2(sK480)
| ~ sP690(U_4279,U_4278) ),
inference(clausify,[status(thm)],[f_1510_8]) ).
fof(f_1511_1,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [A] :
( k1_funct_1(f1_s16_ordinal2,A) != f3_s16_ordinal2(A)
& r2_hidden(A,f2_s16_ordinal2)
& v3_ordinal1(A) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ? [A] :
( ? [B] :
( ( ( B != f3_s16_ordinal2(A)
& ? [C] :
( ! [D] :
( k1_funct_1(C,D) = f6_s16_ordinal2(D,k2_ordinal1(C,D))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = f5_s16_ordinal2(D,k1_funct_1(C,D))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) ) )
| ( ! [C] :
( ? [D] :
( k1_funct_1(C,D) != f6_s16_ordinal2(D,k2_ordinal1(C,D))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != f5_s16_ordinal2(D,k1_funct_1(C,D))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
& B = f3_s16_ordinal2(A) ) )
& v3_ordinal1(B) )
& v3_ordinal1(A) ) ),
inference(fof_nnf,[status(thm)],[s16_ordinal2]) ).
fof(f_1511_2,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [U_4292] :
( k1_funct_1(f1_s16_ordinal2,U_4292) != f3_s16_ordinal2(U_4292)
& r2_hidden(U_4292,f2_s16_ordinal2)
& v3_ordinal1(U_4292) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ? [U_4291] :
( ? [U_4290] :
( ( ( U_4290 != f3_s16_ordinal2(U_4291)
& ? [U_4289] :
( ! [U_4288] :
( k1_funct_1(U_4289,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(U_4289,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(U_4291))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(U_4289,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(U_4289,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(U_4291))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(U_4289,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(U_4289) = k1_ordinal1(U_4291)
& U_4290 = k1_ordinal2(U_4289)
& v1_ordinal2(U_4289)
& v5_ordinal1(U_4289)
& v1_funct_1(U_4289)
& v1_relat_1(U_4289) ) )
| ( ! [U_4286] :
( ? [U_4285] :
( k1_funct_1(U_4286,U_4285) != f6_s16_ordinal2(U_4285,k2_ordinal1(U_4286,U_4285))
& U_4285 != k1_xboole_0
& v4_ordinal1(U_4285)
& r2_hidden(U_4285,k1_ordinal1(U_4291))
& v3_ordinal1(U_4285) )
| ? [U_4284] :
( k1_funct_1(U_4286,k1_ordinal1(U_4284)) != f5_s16_ordinal2(U_4284,k1_funct_1(U_4286,U_4284))
& r2_hidden(k1_ordinal1(U_4284),k1_ordinal1(U_4291))
& v3_ordinal1(U_4284) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(U_4291)
| U_4290 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& U_4290 = f3_s16_ordinal2(U_4291) ) )
& v3_ordinal1(U_4290) )
& v3_ordinal1(U_4291) ) ),
inference(variable_rename,[status(thm)],[f_1511_1]) ).
fof(f_1511_3,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [U_4292] :
( k1_funct_1(f1_s16_ordinal2,U_4292) != f3_s16_ordinal2(U_4292)
& r2_hidden(U_4292,f2_s16_ordinal2)
& v3_ordinal1(U_4292) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ( ? [U_4290] :
( ( ( U_4290 != f3_s16_ordinal2(sK485)
& ? [U_4289] :
( ! [U_4288] :
( k1_funct_1(U_4289,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(U_4289,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(U_4289,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(U_4289,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(U_4289,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(U_4289) = k1_ordinal1(sK485)
& U_4290 = k1_ordinal2(U_4289)
& v1_ordinal2(U_4289)
& v5_ordinal1(U_4289)
& v1_funct_1(U_4289)
& v1_relat_1(U_4289) ) )
| ( ! [U_4286] :
( ? [U_4285] :
( k1_funct_1(U_4286,U_4285) != f6_s16_ordinal2(U_4285,k2_ordinal1(U_4286,U_4285))
& U_4285 != k1_xboole_0
& v4_ordinal1(U_4285)
& r2_hidden(U_4285,k1_ordinal1(sK485))
& v3_ordinal1(U_4285) )
| ? [U_4284] :
( k1_funct_1(U_4286,k1_ordinal1(U_4284)) != f5_s16_ordinal2(U_4284,k1_funct_1(U_4286,U_4284))
& r2_hidden(k1_ordinal1(U_4284),k1_ordinal1(sK485))
& v3_ordinal1(U_4284) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| U_4290 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& U_4290 = f3_s16_ordinal2(sK485) ) )
& v3_ordinal1(U_4290) )
& v3_ordinal1(sK485) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK485]),skolemize(U_4291,sK485)],[f_1511_2]) ).
fof(f_1511_4,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [U_4292] :
( k1_funct_1(f1_s16_ordinal2,U_4292) != f3_s16_ordinal2(U_4292)
& r2_hidden(U_4292,f2_s16_ordinal2)
& v3_ordinal1(U_4292) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ( ( ( sK486 != f3_s16_ordinal2(sK485)
& ? [U_4289] :
( ! [U_4288] :
( k1_funct_1(U_4289,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(U_4289,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(U_4289,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(U_4289,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(U_4289,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(U_4289) = k1_ordinal1(sK485)
& sK486 = k1_ordinal2(U_4289)
& v1_ordinal2(U_4289)
& v5_ordinal1(U_4289)
& v1_funct_1(U_4289)
& v1_relat_1(U_4289) ) )
| ( ! [U_4286] :
( ? [U_4285] :
( k1_funct_1(U_4286,U_4285) != f6_s16_ordinal2(U_4285,k2_ordinal1(U_4286,U_4285))
& U_4285 != k1_xboole_0
& v4_ordinal1(U_4285)
& r2_hidden(U_4285,k1_ordinal1(sK485))
& v3_ordinal1(U_4285) )
| ? [U_4284] :
( k1_funct_1(U_4286,k1_ordinal1(U_4284)) != f5_s16_ordinal2(U_4284,k1_funct_1(U_4286,U_4284))
& r2_hidden(k1_ordinal1(U_4284),k1_ordinal1(sK485))
& v3_ordinal1(U_4284) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& sK486 = f3_s16_ordinal2(sK485) ) )
& v3_ordinal1(sK486)
& v3_ordinal1(sK485) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK486]),skolemize(U_4290,sK486)],[f_1511_3]) ).
fof(f_1511_5,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [U_4292] :
( k1_funct_1(f1_s16_ordinal2,U_4292) != f3_s16_ordinal2(U_4292)
& r2_hidden(U_4292,f2_s16_ordinal2)
& v3_ordinal1(U_4292) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ( ( ( sK486 != f3_s16_ordinal2(sK485)
& ? [U_4289] :
( ! [U_4288] :
( k1_funct_1(U_4289,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(U_4289,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(U_4289,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(U_4289,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(U_4289,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(U_4289) = k1_ordinal1(sK485)
& sK486 = k1_ordinal2(U_4289)
& v1_ordinal2(U_4289)
& v5_ordinal1(U_4289)
& v1_funct_1(U_4289)
& v1_relat_1(U_4289) ) )
| ( ! [U_4286] :
( ? [U_4285] :
( k1_funct_1(U_4286,U_4285) != f6_s16_ordinal2(U_4285,k2_ordinal1(U_4286,U_4285))
& U_4285 != k1_xboole_0
& v4_ordinal1(U_4285)
& r2_hidden(U_4285,k1_ordinal1(sK485))
& v3_ordinal1(U_4285) )
| ( k1_funct_1(U_4286,k1_ordinal1(sK487(U_4286))) != f5_s16_ordinal2(sK487(U_4286),k1_funct_1(U_4286,sK487(U_4286)))
& r2_hidden(k1_ordinal1(sK487(U_4286)),k1_ordinal1(sK485))
& v3_ordinal1(sK487(U_4286)) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& sK486 = f3_s16_ordinal2(sK485) ) )
& v3_ordinal1(sK486)
& v3_ordinal1(sK485) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK487]),skolemize(U_4284,sK487(U_4286))],[f_1511_4]) ).
fof(f_1511_6,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [U_4292] :
( k1_funct_1(f1_s16_ordinal2,U_4292) != f3_s16_ordinal2(U_4292)
& r2_hidden(U_4292,f2_s16_ordinal2)
& v3_ordinal1(U_4292) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ( ( ( sK486 != f3_s16_ordinal2(sK485)
& ? [U_4289] :
( ! [U_4288] :
( k1_funct_1(U_4289,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(U_4289,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(U_4289,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(U_4289,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(U_4289,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(U_4289) = k1_ordinal1(sK485)
& sK486 = k1_ordinal2(U_4289)
& v1_ordinal2(U_4289)
& v5_ordinal1(U_4289)
& v1_funct_1(U_4289)
& v1_relat_1(U_4289) ) )
| ( ! [U_4286] :
( ( k1_funct_1(U_4286,sK488(U_4286)) != f6_s16_ordinal2(sK488(U_4286),k2_ordinal1(U_4286,sK488(U_4286)))
& sK488(U_4286) != k1_xboole_0
& v4_ordinal1(sK488(U_4286))
& r2_hidden(sK488(U_4286),k1_ordinal1(sK485))
& v3_ordinal1(sK488(U_4286)) )
| ( k1_funct_1(U_4286,k1_ordinal1(sK487(U_4286))) != f5_s16_ordinal2(sK487(U_4286),k1_funct_1(U_4286,sK487(U_4286)))
& r2_hidden(k1_ordinal1(sK487(U_4286)),k1_ordinal1(sK485))
& v3_ordinal1(sK487(U_4286)) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& sK486 = f3_s16_ordinal2(sK485) ) )
& v3_ordinal1(sK486)
& v3_ordinal1(sK485) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK488]),skolemize(U_4285,sK488(U_4286))],[f_1511_5]) ).
fof(f_1511_7,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ? [U_4292] :
( k1_funct_1(f1_s16_ordinal2,U_4292) != f3_s16_ordinal2(U_4292)
& r2_hidden(U_4292,f2_s16_ordinal2)
& v3_ordinal1(U_4292) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ( ( ( sK486 != f3_s16_ordinal2(sK485)
& ! [U_4288] :
( k1_funct_1(sK489,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(sK489,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(sK489,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(sK489,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(sK489,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(sK489) = k1_ordinal1(sK485)
& sK486 = k1_ordinal2(sK489)
& v1_ordinal2(sK489)
& v5_ordinal1(sK489)
& v1_funct_1(sK489)
& v1_relat_1(sK489) )
| ( ! [U_4286] :
( ( k1_funct_1(U_4286,sK488(U_4286)) != f6_s16_ordinal2(sK488(U_4286),k2_ordinal1(U_4286,sK488(U_4286)))
& sK488(U_4286) != k1_xboole_0
& v4_ordinal1(sK488(U_4286))
& r2_hidden(sK488(U_4286),k1_ordinal1(sK485))
& v3_ordinal1(sK488(U_4286)) )
| ( k1_funct_1(U_4286,k1_ordinal1(sK487(U_4286))) != f5_s16_ordinal2(sK487(U_4286),k1_funct_1(U_4286,sK487(U_4286)))
& r2_hidden(k1_ordinal1(sK487(U_4286)),k1_ordinal1(sK485))
& v3_ordinal1(sK487(U_4286)) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& sK486 = f3_s16_ordinal2(sK485) ) )
& v3_ordinal1(sK486)
& v3_ordinal1(sK485) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK489]),skolemize(U_4289,sK489)],[f_1511_6]) ).
fof(f_1511_8,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| ( k1_funct_1(f1_s16_ordinal2,sK490) != f3_s16_ordinal2(sK490)
& r2_hidden(sK490,f2_s16_ordinal2)
& v3_ordinal1(sK490) )
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| ( ( ( sK486 != f3_s16_ordinal2(sK485)
& ! [U_4288] :
( k1_funct_1(sK489,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(sK489,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288) )
& ! [U_4287] :
( k1_funct_1(sK489,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(sK489,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287) )
& k1_funct_1(sK489,k1_xboole_0) = f4_s16_ordinal2
& k1_relat_1(sK489) = k1_ordinal1(sK485)
& sK486 = k1_ordinal2(sK489)
& v1_ordinal2(sK489)
& v5_ordinal1(sK489)
& v1_funct_1(sK489)
& v1_relat_1(sK489) )
| ( ! [U_4286] :
( ( k1_funct_1(U_4286,sK488(U_4286)) != f6_s16_ordinal2(sK488(U_4286),k2_ordinal1(U_4286,sK488(U_4286)))
& sK488(U_4286) != k1_xboole_0
& v4_ordinal1(sK488(U_4286))
& r2_hidden(sK488(U_4286),k1_ordinal1(sK485))
& v3_ordinal1(sK488(U_4286)) )
| ( k1_funct_1(U_4286,k1_ordinal1(sK487(U_4286))) != f5_s16_ordinal2(sK487(U_4286),k1_funct_1(U_4286,sK487(U_4286)))
& r2_hidden(k1_ordinal1(sK487(U_4286)),k1_ordinal1(sK485))
& v3_ordinal1(sK487(U_4286)) )
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286) )
& sK486 = f3_s16_ordinal2(sK485) ) )
& v3_ordinal1(sK486)
& v3_ordinal1(sK485) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK490]),skolemize(U_4292,sK490)],[f_1511_7]) ).
fof(f_1511_9,plain,
( ( k1_funct_1(f1_s16_ordinal2,sK490) != f3_s16_ordinal2(sK490)
| ~ sP697 )
& ( r2_hidden(sK490,f2_s16_ordinal2)
| ~ sP697 )
& ( v3_ordinal1(sK490)
| ~ sP697 )
& ! [U_4287,U_4288] :
( sK486 != f3_s16_ordinal2(sK485)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( k1_funct_1(sK489,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(sK489,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( k1_funct_1(sK489,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(sK489,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( k1_funct_1(sK489,k1_xboole_0) = f4_s16_ordinal2
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( k1_relat_1(sK489) = k1_ordinal1(sK485)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( sK486 = k1_ordinal2(sK489)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( v1_ordinal2(sK489)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( v5_ordinal1(sK489)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( v1_funct_1(sK489)
| ~ sP695(U_4287,U_4288) )
& ! [U_4287,U_4288] :
( v1_relat_1(sK489)
| ~ sP695(U_4287,U_4288) )
& ! [U_4286] :
( k1_funct_1(U_4286,sK488(U_4286)) != f6_s16_ordinal2(sK488(U_4286),k2_ordinal1(U_4286,sK488(U_4286)))
| ~ sP693(U_4286) )
& ! [U_4286] :
( sK488(U_4286) != k1_xboole_0
| ~ sP693(U_4286) )
& ! [U_4286] :
( v4_ordinal1(sK488(U_4286))
| ~ sP693(U_4286) )
& ! [U_4286] :
( r2_hidden(sK488(U_4286),k1_ordinal1(sK485))
| ~ sP693(U_4286) )
& ! [U_4286] :
( v3_ordinal1(sK488(U_4286))
| ~ sP693(U_4286) )
& ! [U_4286] :
( k1_funct_1(U_4286,k1_ordinal1(sK487(U_4286))) != f5_s16_ordinal2(sK487(U_4286),k1_funct_1(U_4286,sK487(U_4286)))
| ~ sP692(U_4286) )
& ! [U_4286] :
( r2_hidden(k1_ordinal1(sK487(U_4286)),k1_ordinal1(sK485))
| ~ sP692(U_4286) )
& ! [U_4286] :
( v3_ordinal1(sK487(U_4286))
| ~ sP692(U_4286) )
& ! [U_4286] :
( sP693(U_4286)
| sP692(U_4286)
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286)
| ~ sP694(U_4286) )
& ! [U_4286] :
( sK486 = f3_s16_ordinal2(sK485)
| ~ sP694(U_4286) )
& ! [U_4287,U_4288,U_4286] :
( sP695(U_4287,U_4288)
| sP694(U_4286)
| ~ sP696(U_4287,U_4288,U_4286) )
& ! [U_4287,U_4288,U_4286] :
( v3_ordinal1(sK486)
| ~ sP696(U_4287,U_4288,U_4286) )
& ! [U_4287,U_4288,U_4286] :
( v3_ordinal1(sK485)
| ~ sP696(U_4287,U_4288,U_4286) )
& ! [U_4287,U_4288,U_4286] :
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| sP697
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| sP696(U_4287,U_4288,U_4286) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP692,sP693,sP694,sP695,sP696,sP697])],[f_1511_8]) ).
cnf(f_1511_10,plain,
( f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2)
| sP697
| k1_relat_1(f1_s16_ordinal2) != f2_s16_ordinal2
| ~ v4_ordinal1(f2_s16_ordinal2)
| f2_s16_ordinal2 = k1_xboole_0
| sP696(U_4287,U_4288,U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_11,plain,
( v3_ordinal1(sK485)
| ~ sP696(U_4287,U_4288,U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_12,plain,
( v3_ordinal1(sK486)
| ~ sP696(U_4287,U_4288,U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_13,plain,
( sP695(U_4287,U_4288)
| sP694(U_4286)
| ~ sP696(U_4287,U_4288,U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_14,plain,
( sK486 = f3_s16_ordinal2(sK485)
| ~ sP694(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_15,plain,
( sP693(U_4286)
| sP692(U_4286)
| k1_funct_1(U_4286,k1_xboole_0) != f4_s16_ordinal2
| k1_relat_1(U_4286) != k1_ordinal1(sK485)
| sK486 != k1_ordinal2(U_4286)
| ~ v1_ordinal2(U_4286)
| ~ v5_ordinal1(U_4286)
| ~ v1_funct_1(U_4286)
| ~ v1_relat_1(U_4286)
| ~ sP694(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_16,plain,
( v3_ordinal1(sK487(U_4286))
| ~ sP692(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_17,plain,
( r2_hidden(k1_ordinal1(sK487(U_4286)),k1_ordinal1(sK485))
| ~ sP692(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_18,plain,
( k1_funct_1(U_4286,k1_ordinal1(sK487(U_4286))) != f5_s16_ordinal2(sK487(U_4286),k1_funct_1(U_4286,sK487(U_4286)))
| ~ sP692(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_19,plain,
( v3_ordinal1(sK488(U_4286))
| ~ sP693(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_20,plain,
( r2_hidden(sK488(U_4286),k1_ordinal1(sK485))
| ~ sP693(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_21,plain,
( v4_ordinal1(sK488(U_4286))
| ~ sP693(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_22,plain,
( sK488(U_4286) != k1_xboole_0
| ~ sP693(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_23,plain,
( k1_funct_1(U_4286,sK488(U_4286)) != f6_s16_ordinal2(sK488(U_4286),k2_ordinal1(U_4286,sK488(U_4286)))
| ~ sP693(U_4286) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_24,plain,
( v1_relat_1(sK489)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_25,plain,
( v1_funct_1(sK489)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_26,plain,
( v5_ordinal1(sK489)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_27,plain,
( v1_ordinal2(sK489)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_28,plain,
( sK486 = k1_ordinal2(sK489)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_29,plain,
( k1_relat_1(sK489) = k1_ordinal1(sK485)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_30,plain,
( k1_funct_1(sK489,k1_xboole_0) = f4_s16_ordinal2
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_31,plain,
( k1_funct_1(sK489,k1_ordinal1(U_4287)) = f5_s16_ordinal2(U_4287,k1_funct_1(sK489,U_4287))
| ~ r2_hidden(k1_ordinal1(U_4287),k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4287)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_32,plain,
( k1_funct_1(sK489,U_4288) = f6_s16_ordinal2(U_4288,k2_ordinal1(sK489,U_4288))
| U_4288 = k1_xboole_0
| ~ v4_ordinal1(U_4288)
| ~ r2_hidden(U_4288,k1_ordinal1(sK485))
| ~ v3_ordinal1(U_4288)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_33,plain,
( sK486 != f3_s16_ordinal2(sK485)
| ~ sP695(U_4287,U_4288) ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_34,plain,
( v3_ordinal1(sK490)
| ~ sP697 ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_35,plain,
( r2_hidden(sK490,f2_s16_ordinal2)
| ~ sP697 ),
inference(clausify,[status(thm)],[f_1511_9]) ).
cnf(f_1511_36,plain,
( k1_funct_1(f1_s16_ordinal2,sK490) != f3_s16_ordinal2(sK490)
| ~ sP697 ),
inference(clausify,[status(thm)],[f_1511_9]) ).
fof(f_1512_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_ordinal2]) ).
fof(f_1512_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1512_1]) ).
cnf(f_1512_3,plain,
$true,
inference(clausify,[status(thm)],[f_1512_2]) ).
fof(f_1513_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_ordinal2]) ).
fof(f_1513_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1513_1]) ).
cnf(f_1513_3,plain,
$true,
inference(clausify,[status(thm)],[f_1513_2]) ).
fof(f_1514_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_ordinal2]) ).
fof(f_1514_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1514_1]) ).
cnf(f_1514_3,plain,
$true,
inference(clausify,[status(thm)],[f_1514_2]) ).
fof(f_1515_1,plain,
( ~ v1_xboole_0(k4_ordinal2)
& v3_ordinal1(k4_ordinal2) ),
inference(fof_nnf,[status(thm)],[dt_k4_ordinal2]) ).
fof(f_1515_2,plain,
( ~ v1_xboole_0(k4_ordinal2)
& v3_ordinal1(k4_ordinal2) ),
inference(definitional_conversion,[status(esa)],[f_1515_1]) ).
cnf(f_1515_3,plain,
v3_ordinal1(k4_ordinal2),
inference(clausify,[status(thm)],[f_1515_2]) ).
cnf(f_1515_4,plain,
~ v1_xboole_0(k4_ordinal2),
inference(clausify,[status(thm)],[f_1515_2]) ).
fof(f_1516_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k5_ordinal2]) ).
fof(f_1516_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1516_1]) ).
cnf(f_1516_3,plain,
$true,
inference(clausify,[status(thm)],[f_1516_2]) ).
fof(f_1517_1,plain,
! [A] : v3_ordinal1(k6_ordinal2(A)),
inference(fof_nnf,[status(thm)],[dt_k6_ordinal2]) ).
fof(f_1517_2,plain,
! [U_4293] : v3_ordinal1(k6_ordinal2(U_4293)),
inference(variable_rename,[status(thm)],[f_1517_1]) ).
fof(f_1517_3,plain,
! [U_4293] : v3_ordinal1(k6_ordinal2(U_4293)),
inference(definitional_conversion,[status(esa)],[f_1517_2]) ).
cnf(f_1517_4,plain,
v3_ordinal1(k6_ordinal2(U_4293)),
inference(clausify,[status(thm)],[f_1517_3]) ).
fof(f_1518_1,plain,
! [A] : v3_ordinal1(k7_ordinal2(A)),
inference(fof_nnf,[status(thm)],[dt_k7_ordinal2]) ).
fof(f_1518_2,plain,
! [U_4294] : v3_ordinal1(k7_ordinal2(U_4294)),
inference(variable_rename,[status(thm)],[f_1518_1]) ).
fof(f_1518_3,plain,
! [U_4294] : v3_ordinal1(k7_ordinal2(U_4294)),
inference(definitional_conversion,[status(esa)],[f_1518_2]) ).
cnf(f_1518_4,plain,
v3_ordinal1(k7_ordinal2(U_4294)),
inference(clausify,[status(thm)],[f_1518_3]) ).
fof(f_1519_1,plain,
! [A] :
( v3_ordinal1(k8_ordinal2(A))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k8_ordinal2]) ).
fof(f_1519_2,plain,
! [U_4295] :
( v3_ordinal1(k8_ordinal2(U_4295))
| ~ v5_ordinal1(U_4295)
| ~ v1_funct_1(U_4295)
| ~ v1_relat_1(U_4295) ),
inference(variable_rename,[status(thm)],[f_1519_1]) ).
fof(f_1519_3,plain,
! [U_4295] :
( v3_ordinal1(k8_ordinal2(U_4295))
| ~ v5_ordinal1(U_4295)
| ~ v1_funct_1(U_4295)
| ~ v1_relat_1(U_4295) ),
inference(definitional_conversion,[status(esa)],[f_1519_2]) ).
cnf(f_1519_4,plain,
( v3_ordinal1(k8_ordinal2(U_4295))
| ~ v5_ordinal1(U_4295)
| ~ v1_funct_1(U_4295)
| ~ v1_relat_1(U_4295) ),
inference(clausify,[status(thm)],[f_1519_3]) ).
fof(f_1520_1,plain,
! [A] :
( v3_ordinal1(k9_ordinal2(A))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k9_ordinal2]) ).
fof(f_1520_2,plain,
! [U_4296] :
( v3_ordinal1(k9_ordinal2(U_4296))
| ~ v5_ordinal1(U_4296)
| ~ v1_funct_1(U_4296)
| ~ v1_relat_1(U_4296) ),
inference(variable_rename,[status(thm)],[f_1520_1]) ).
fof(f_1520_3,plain,
! [U_4296] :
( v3_ordinal1(k9_ordinal2(U_4296))
| ~ v5_ordinal1(U_4296)
| ~ v1_funct_1(U_4296)
| ~ v1_relat_1(U_4296) ),
inference(definitional_conversion,[status(esa)],[f_1520_2]) ).
cnf(f_1520_4,plain,
( v3_ordinal1(k9_ordinal2(U_4296))
| ~ v5_ordinal1(U_4296)
| ~ v1_funct_1(U_4296)
| ~ v1_relat_1(U_4296) ),
inference(clausify,[status(thm)],[f_1520_3]) ).
fof(f_1521_1,plain,
! [A] :
( v3_ordinal1(k10_ordinal2(A))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k10_ordinal2]) ).
fof(f_1521_2,plain,
! [U_4297] :
( v3_ordinal1(k10_ordinal2(U_4297))
| ~ v5_ordinal1(U_4297)
| ~ v1_funct_1(U_4297)
| ~ v1_relat_1(U_4297) ),
inference(variable_rename,[status(thm)],[f_1521_1]) ).
fof(f_1521_3,plain,
! [U_4297] :
( v3_ordinal1(k10_ordinal2(U_4297))
| ~ v5_ordinal1(U_4297)
| ~ v1_funct_1(U_4297)
| ~ v1_relat_1(U_4297) ),
inference(definitional_conversion,[status(esa)],[f_1521_2]) ).
cnf(f_1521_4,plain,
( v3_ordinal1(k10_ordinal2(U_4297))
| ~ v5_ordinal1(U_4297)
| ~ v1_funct_1(U_4297)
| ~ v1_relat_1(U_4297) ),
inference(clausify,[status(thm)],[f_1521_3]) ).
fof(f_1522_1,plain,
! [A] :
( v3_ordinal1(k11_ordinal2(A))
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k11_ordinal2]) ).
fof(f_1522_2,plain,
! [U_4298] :
( v3_ordinal1(k11_ordinal2(U_4298))
| ~ v5_ordinal1(U_4298)
| ~ v1_funct_1(U_4298)
| ~ v1_relat_1(U_4298) ),
inference(variable_rename,[status(thm)],[f_1522_1]) ).
fof(f_1522_3,plain,
! [U_4298] :
( v3_ordinal1(k11_ordinal2(U_4298))
| ~ v5_ordinal1(U_4298)
| ~ v1_funct_1(U_4298)
| ~ v1_relat_1(U_4298) ),
inference(definitional_conversion,[status(esa)],[f_1522_2]) ).
cnf(f_1522_4,plain,
( v3_ordinal1(k11_ordinal2(U_4298))
| ~ v5_ordinal1(U_4298)
| ~ v1_funct_1(U_4298)
| ~ v1_relat_1(U_4298) ),
inference(clausify,[status(thm)],[f_1522_3]) ).
fof(f_1523_1,plain,
! [A] :
( v3_ordinal1(k12_ordinal2(A))
| ~ v1_ordinal2(A)
| ~ v5_ordinal1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k12_ordinal2]) ).
fof(f_1523_2,plain,
! [U_4299] :
( v3_ordinal1(k12_ordinal2(U_4299))
| ~ v1_ordinal2(U_4299)
| ~ v5_ordinal1(U_4299)
| ~ v1_funct_1(U_4299)
| ~ v1_relat_1(U_4299) ),
inference(variable_rename,[status(thm)],[f_1523_1]) ).
fof(f_1523_3,plain,
! [U_4299] :
( v3_ordinal1(k12_ordinal2(U_4299))
| ~ v1_ordinal2(U_4299)
| ~ v5_ordinal1(U_4299)
| ~ v1_funct_1(U_4299)
| ~ v1_relat_1(U_4299) ),
inference(definitional_conversion,[status(esa)],[f_1523_2]) ).
cnf(f_1523_4,plain,
( v3_ordinal1(k12_ordinal2(U_4299))
| ~ v1_ordinal2(U_4299)
| ~ v5_ordinal1(U_4299)
| ~ v1_funct_1(U_4299)
| ~ v1_relat_1(U_4299) ),
inference(clausify,[status(thm)],[f_1523_3]) ).
fof(f_1524_1,plain,
! [A,B] :
( v3_ordinal1(k13_ordinal2(A,B))
| ~ v1_ordinal2(B)
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[dt_k13_ordinal2]) ).
fof(f_1524_2,plain,
! [U_4301,U_4300] :
( v3_ordinal1(k13_ordinal2(U_4301,U_4300))
| ~ v1_ordinal2(U_4300)
| ~ v5_ordinal1(U_4300)
| ~ v1_funct_1(U_4300)
| ~ v1_relat_1(U_4300)
| ~ v3_ordinal1(U_4301) ),
inference(variable_rename,[status(thm)],[f_1524_1]) ).
fof(f_1524_3,plain,
! [U_4300,U_4301] :
( v3_ordinal1(k13_ordinal2(U_4301,U_4300))
| ~ v1_ordinal2(U_4300)
| ~ v5_ordinal1(U_4300)
| ~ v1_funct_1(U_4300)
| ~ v1_relat_1(U_4300)
| ~ v3_ordinal1(U_4301) ),
inference(definitional_conversion,[status(esa)],[f_1524_2]) ).
cnf(f_1524_4,plain,
( v3_ordinal1(k13_ordinal2(U_4301,U_4300))
| ~ v1_ordinal2(U_4300)
| ~ v5_ordinal1(U_4300)
| ~ v1_funct_1(U_4300)
| ~ v1_relat_1(U_4300)
| ~ v3_ordinal1(U_4301) ),
inference(clausify,[status(thm)],[f_1524_3]) ).
fof(f_1525_1,plain,
! [A,B] :
( v3_ordinal1(k14_ordinal2(A,B))
| ~ v3_ordinal1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[dt_k14_ordinal2]) ).
fof(f_1525_2,plain,
! [U_4303,U_4302] :
( v3_ordinal1(k14_ordinal2(U_4303,U_4302))
| ~ v3_ordinal1(U_4302)
| ~ v3_ordinal1(U_4303) ),
inference(variable_rename,[status(thm)],[f_1525_1]) ).
fof(f_1525_3,plain,
! [U_4302,U_4303] :
( v3_ordinal1(k14_ordinal2(U_4303,U_4302))
| ~ v3_ordinal1(U_4302)
| ~ v3_ordinal1(U_4303) ),
inference(definitional_conversion,[status(esa)],[f_1525_2]) ).
cnf(f_1525_4,plain,
( v3_ordinal1(k14_ordinal2(U_4303,U_4302))
| ~ v3_ordinal1(U_4302)
| ~ v3_ordinal1(U_4303) ),
inference(clausify,[status(thm)],[f_1525_3]) ).
fof(f_1526_1,plain,
! [A,B] :
( v3_ordinal1(k15_ordinal2(A,B))
| ~ v3_ordinal1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[dt_k15_ordinal2]) ).
fof(f_1526_2,plain,
! [U_4305,U_4304] :
( v3_ordinal1(k15_ordinal2(U_4305,U_4304))
| ~ v3_ordinal1(U_4304)
| ~ v3_ordinal1(U_4305) ),
inference(variable_rename,[status(thm)],[f_1526_1]) ).
fof(f_1526_3,plain,
! [U_4305,U_4304] :
( v3_ordinal1(k15_ordinal2(U_4305,U_4304))
| ~ v3_ordinal1(U_4304)
| ~ v3_ordinal1(U_4305) ),
inference(definitional_conversion,[status(esa)],[f_1526_2]) ).
cnf(f_1526_4,plain,
( v3_ordinal1(k15_ordinal2(U_4305,U_4304))
| ~ v3_ordinal1(U_4304)
| ~ v3_ordinal1(U_4305) ),
inference(clausify,[status(thm)],[f_1526_3]) ).
fof(f_1527_1,plain,
! [A,B] :
( v3_ordinal1(k16_ordinal2(A,B))
| ~ v3_ordinal1(B)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[dt_k16_ordinal2]) ).
fof(f_1527_2,plain,
! [U_4307,U_4306] :
( v3_ordinal1(k16_ordinal2(U_4307,U_4306))
| ~ v3_ordinal1(U_4306)
| ~ v3_ordinal1(U_4307) ),
inference(variable_rename,[status(thm)],[f_1527_1]) ).
fof(f_1527_3,plain,
! [U_4307,U_4306] :
( v3_ordinal1(k16_ordinal2(U_4307,U_4306))
| ~ v3_ordinal1(U_4306)
| ~ v3_ordinal1(U_4307) ),
inference(definitional_conversion,[status(esa)],[f_1527_2]) ).
cnf(f_1527_4,plain,
( v3_ordinal1(k16_ordinal2(U_4307,U_4306))
| ~ v3_ordinal1(U_4306)
| ~ v3_ordinal1(U_4307) ),
inference(clausify,[status(thm)],[f_1527_3]) ).
fof(f_1528_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_1528_2,plain,
? [U_4308] :
( v1_finset_1(U_4308)
& ~ v1_xboole_0(U_4308) ),
inference(variable_rename,[status(thm)],[f_1528_1]) ).
fof(f_1528_3,plain,
( v1_finset_1(sK491)
& ~ v1_xboole_0(sK491) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK491]),skolemize(U_4308,sK491)],[f_1528_2]) ).
fof(f_1528_4,plain,
( v1_finset_1(sK491)
& ~ v1_xboole_0(sK491) ),
inference(definitional_conversion,[status(esa)],[f_1528_3]) ).
cnf(f_1528_5,plain,
~ v1_xboole_0(sK491),
inference(clausify,[status(thm)],[f_1528_4]) ).
cnf(f_1528_6,plain,
v1_finset_1(sK491),
inference(clausify,[status(thm)],[f_1528_4]) ).
fof(f_1529_1,plain,
! [A] :
( v1_finset_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(f_1529_2,plain,
! [U_4309] :
( v1_finset_1(U_4309)
| ~ v1_xboole_0(U_4309) ),
inference(variable_rename,[status(thm)],[f_1529_1]) ).
fof(f_1529_3,plain,
! [U_4309] :
( v1_finset_1(U_4309)
| ~ v1_xboole_0(U_4309) ),
inference(definitional_conversion,[status(esa)],[f_1529_2]) ).
cnf(f_1529_4,plain,
( v1_finset_1(U_4309)
| ~ v1_xboole_0(U_4309) ),
inference(clausify,[status(thm)],[f_1529_3]) ).
fof(f_1530_1,plain,
! [A] :
? [B] :
( v1_finset_1(B)
& v4_ordinal2(B)
& v3_ordinal1(B)
& v2_ordinal1(B)
& v1_ordinal1(B)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[rc2_finset_1]) ).
fof(f_1530_2,plain,
! [U_4311] :
? [U_4310] :
( v1_finset_1(U_4310)
& v4_ordinal2(U_4310)
& v3_ordinal1(U_4310)
& v2_ordinal1(U_4310)
& v1_ordinal1(U_4310)
& v2_funct_1(U_4310)
& v1_funct_1(U_4310)
& v1_relat_1(U_4310)
& v1_xboole_0(U_4310)
& m1_subset_1(U_4310,k1_zfmisc_1(U_4311)) ),
inference(variable_rename,[status(thm)],[f_1530_1]) ).
fof(f_1530_3,plain,
! [U_4311] :
( v1_finset_1(sK492(U_4311))
& v4_ordinal2(sK492(U_4311))
& v3_ordinal1(sK492(U_4311))
& v2_ordinal1(sK492(U_4311))
& v1_ordinal1(sK492(U_4311))
& v2_funct_1(sK492(U_4311))
& v1_funct_1(sK492(U_4311))
& v1_relat_1(sK492(U_4311))
& v1_xboole_0(sK492(U_4311))
& m1_subset_1(sK492(U_4311),k1_zfmisc_1(U_4311)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK492]),skolemize(U_4310,sK492(U_4311))],[f_1530_2]) ).
fof(f_1530_4,plain,
( ! [U_4311] : v1_finset_1(sK492(U_4311))
& ! [U_4311] : v4_ordinal2(sK492(U_4311))
& ! [U_4311] : v3_ordinal1(sK492(U_4311))
& ! [U_4311] : v2_ordinal1(sK492(U_4311))
& ! [U_4311] : v1_ordinal1(sK492(U_4311))
& ! [U_4311] : v2_funct_1(sK492(U_4311))
& ! [U_4311] : v1_funct_1(sK492(U_4311))
& ! [U_4311] : v1_relat_1(sK492(U_4311))
& ! [U_4311] : v1_xboole_0(sK492(U_4311))
& ! [U_4311] : m1_subset_1(sK492(U_4311),k1_zfmisc_1(U_4311)) ),
inference(definitional_conversion,[status(esa)],[f_1530_3]) ).
cnf(f_1530_5,plain,
m1_subset_1(sK492(U_4311),k1_zfmisc_1(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_6,plain,
v1_xboole_0(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_7,plain,
v1_relat_1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_8,plain,
v1_funct_1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_9,plain,
v2_funct_1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_10,plain,
v1_ordinal1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_11,plain,
v2_ordinal1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_12,plain,
v3_ordinal1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_13,plain,
v4_ordinal2(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
cnf(f_1530_14,plain,
v1_finset_1(sK492(U_4311)),
inference(clausify,[status(thm)],[f_1530_4]) ).
fof(f_1531_1,plain,
! [A] :
( v1_finset_1(k1_tarski(A))
& ~ v1_xboole_0(k1_tarski(A)) ),
inference(fof_nnf,[status(thm)],[fc1_finset_1]) ).
fof(f_1531_2,plain,
! [U_4312] :
( v1_finset_1(k1_tarski(U_4312))
& ~ v1_xboole_0(k1_tarski(U_4312)) ),
inference(variable_rename,[status(thm)],[f_1531_1]) ).
fof(f_1531_3,plain,
( ! [U_4314] : v1_finset_1(k1_tarski(U_4314))
& ! [U_4313] : ~ v1_xboole_0(k1_tarski(U_4313)) ),
inference(miniscope,[status(thm)],[f_1531_2]) ).
fof(f_1531_4,plain,
( ! [U_4314] : v1_finset_1(k1_tarski(U_4314))
& ! [U_4313] : ~ v1_xboole_0(k1_tarski(U_4313)) ),
inference(definitional_conversion,[status(esa)],[f_1531_3]) ).
cnf(f_1531_5,plain,
~ v1_xboole_0(k1_tarski(U_4313)),
inference(clausify,[status(thm)],[f_1531_4]) ).
cnf(f_1531_6,plain,
v1_finset_1(k1_tarski(U_4314)),
inference(clausify,[status(thm)],[f_1531_4]) ).
fof(f_1532_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_finset_1]) ).
fof(f_1532_2,plain,
! [U_4316] :
( ? [U_4315] :
( v1_finset_1(U_4315)
& ~ v1_xboole_0(U_4315)
& m1_subset_1(U_4315,k1_zfmisc_1(U_4316)) )
| v1_xboole_0(U_4316) ),
inference(variable_rename,[status(thm)],[f_1532_1]) ).
fof(f_1532_3,plain,
! [U_4316] :
( ( v1_finset_1(sK493(U_4316))
& ~ v1_xboole_0(sK493(U_4316))
& m1_subset_1(sK493(U_4316),k1_zfmisc_1(U_4316)) )
| v1_xboole_0(U_4316) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK493]),skolemize(U_4315,sK493(U_4316))],[f_1532_2]) ).
fof(f_1532_4,plain,
( ! [U_4316] :
( v1_finset_1(sK493(U_4316))
| ~ sP698(U_4316) )
& ! [U_4316] :
( ~ v1_xboole_0(sK493(U_4316))
| ~ sP698(U_4316) )
& ! [U_4316] :
( m1_subset_1(sK493(U_4316),k1_zfmisc_1(U_4316))
| ~ sP698(U_4316) )
& ! [U_4316] :
( sP698(U_4316)
| v1_xboole_0(U_4316) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP698])],[f_1532_3]) ).
cnf(f_1532_5,plain,
( sP698(U_4316)
| v1_xboole_0(U_4316) ),
inference(clausify,[status(thm)],[f_1532_4]) ).
cnf(f_1532_6,plain,
( m1_subset_1(sK493(U_4316),k1_zfmisc_1(U_4316))
| ~ sP698(U_4316) ),
inference(clausify,[status(thm)],[f_1532_4]) ).
cnf(f_1532_7,plain,
( ~ v1_xboole_0(sK493(U_4316))
| ~ sP698(U_4316) ),
inference(clausify,[status(thm)],[f_1532_4]) ).
cnf(f_1532_8,plain,
( v1_finset_1(sK493(U_4316))
| ~ sP698(U_4316) ),
inference(clausify,[status(thm)],[f_1532_4]) ).
fof(f_1533_1,plain,
! [A,B] :
( v1_finset_1(k2_tarski(A,B))
& ~ v1_xboole_0(k2_tarski(A,B)) ),
inference(fof_nnf,[status(thm)],[fc2_finset_1]) ).
fof(f_1533_2,plain,
! [U_4318,U_4317] :
( v1_finset_1(k2_tarski(U_4318,U_4317))
& ~ v1_xboole_0(k2_tarski(U_4318,U_4317)) ),
inference(variable_rename,[status(thm)],[f_1533_1]) ).
fof(f_1533_3,plain,
( ! [U_4322,U_4320] : v1_finset_1(k2_tarski(U_4322,U_4320))
& ! [U_4321,U_4319] : ~ v1_xboole_0(k2_tarski(U_4321,U_4319)) ),
inference(miniscope,[status(thm)],[f_1533_2]) ).
fof(f_1533_4,plain,
( ! [U_4320,U_4322] : v1_finset_1(k2_tarski(U_4322,U_4320))
& ! [U_4321,U_4319] : ~ v1_xboole_0(k2_tarski(U_4321,U_4319)) ),
inference(definitional_conversion,[status(esa)],[f_1533_3]) ).
cnf(f_1533_5,plain,
~ v1_xboole_0(k2_tarski(U_4321,U_4319)),
inference(clausify,[status(thm)],[f_1533_4]) ).
cnf(f_1533_6,plain,
v1_finset_1(k2_tarski(U_4322,U_4320)),
inference(clausify,[status(thm)],[f_1533_4]) ).
fof(f_1534_1,plain,
! [A,B,C] : v1_finset_1(k1_enumset1(A,B,C)),
inference(fof_nnf,[status(thm)],[fc3_finset_1]) ).
fof(f_1534_2,plain,
! [U_4325,U_4324,U_4323] : v1_finset_1(k1_enumset1(U_4325,U_4324,U_4323)),
inference(variable_rename,[status(thm)],[f_1534_1]) ).
fof(f_1534_3,plain,
! [U_4325,U_4323,U_4324] : v1_finset_1(k1_enumset1(U_4325,U_4324,U_4323)),
inference(definitional_conversion,[status(esa)],[f_1534_2]) ).
cnf(f_1534_4,plain,
v1_finset_1(k1_enumset1(U_4325,U_4324,U_4323)),
inference(clausify,[status(thm)],[f_1534_3]) ).
fof(f_1535_1,plain,
! [A,B,C,D] : v1_finset_1(k2_enumset1(A,B,C,D)),
inference(fof_nnf,[status(thm)],[fc4_finset_1]) ).
fof(f_1535_2,plain,
! [U_4329,U_4328,U_4327,U_4326] : v1_finset_1(k2_enumset1(U_4329,U_4328,U_4327,U_4326)),
inference(variable_rename,[status(thm)],[f_1535_1]) ).
fof(f_1535_3,plain,
! [U_4328,U_4329,U_4327,U_4326] : v1_finset_1(k2_enumset1(U_4329,U_4328,U_4327,U_4326)),
inference(definitional_conversion,[status(esa)],[f_1535_2]) ).
cnf(f_1535_4,plain,
v1_finset_1(k2_enumset1(U_4329,U_4328,U_4327,U_4326)),
inference(clausify,[status(thm)],[f_1535_3]) ).
fof(f_1536_1,plain,
! [A,B,C,D,E] : v1_finset_1(k3_enumset1(A,B,C,D,E)),
inference(fof_nnf,[status(thm)],[fc5_finset_1]) ).
fof(f_1536_2,plain,
! [U_4334,U_4333,U_4332,U_4331,U_4330] : v1_finset_1(k3_enumset1(U_4334,U_4333,U_4332,U_4331,U_4330)),
inference(variable_rename,[status(thm)],[f_1536_1]) ).
fof(f_1536_3,plain,
! [U_4334,U_4332,U_4330,U_4331,U_4333] : v1_finset_1(k3_enumset1(U_4334,U_4333,U_4332,U_4331,U_4330)),
inference(definitional_conversion,[status(esa)],[f_1536_2]) ).
cnf(f_1536_4,plain,
v1_finset_1(k3_enumset1(U_4334,U_4333,U_4332,U_4331,U_4330)),
inference(clausify,[status(thm)],[f_1536_3]) ).
fof(f_1537_1,plain,
! [A,B,C,D,E,F] : v1_finset_1(k4_enumset1(A,B,C,D,E,F)),
inference(fof_nnf,[status(thm)],[fc6_finset_1]) ).
fof(f_1537_2,plain,
! [U_4340,U_4339,U_4338,U_4337,U_4336,U_4335] : v1_finset_1(k4_enumset1(U_4340,U_4339,U_4338,U_4337,U_4336,U_4335)),
inference(variable_rename,[status(thm)],[f_1537_1]) ).
fof(f_1537_3,plain,
! [U_4336,U_4335,U_4337,U_4338,U_4339,U_4340] : v1_finset_1(k4_enumset1(U_4340,U_4339,U_4338,U_4337,U_4336,U_4335)),
inference(definitional_conversion,[status(esa)],[f_1537_2]) ).
cnf(f_1537_4,plain,
v1_finset_1(k4_enumset1(U_4340,U_4339,U_4338,U_4337,U_4336,U_4335)),
inference(clausify,[status(thm)],[f_1537_3]) ).
fof(f_1538_1,plain,
! [A,B,C,D,E,F,G] : v1_finset_1(k5_enumset1(A,B,C,D,E,F,G)),
inference(fof_nnf,[status(thm)],[fc7_finset_1]) ).
fof(f_1538_2,plain,
! [U_4347,U_4346,U_4345,U_4344,U_4343,U_4342,U_4341] : v1_finset_1(k5_enumset1(U_4347,U_4346,U_4345,U_4344,U_4343,U_4342,U_4341)),
inference(variable_rename,[status(thm)],[f_1538_1]) ).
fof(f_1538_3,plain,
! [U_4341,U_4343,U_4344,U_4345,U_4346,U_4347,U_4342] : v1_finset_1(k5_enumset1(U_4347,U_4346,U_4345,U_4344,U_4343,U_4342,U_4341)),
inference(definitional_conversion,[status(esa)],[f_1538_2]) ).
cnf(f_1538_4,plain,
v1_finset_1(k5_enumset1(U_4347,U_4346,U_4345,U_4344,U_4343,U_4342,U_4341)),
inference(clausify,[status(thm)],[f_1538_3]) ).
fof(f_1539_1,plain,
! [A,B,C,D,E,F,G,H] : v1_finset_1(k6_enumset1(A,B,C,D,E,F,G,H)),
inference(fof_nnf,[status(thm)],[fc8_finset_1]) ).
fof(f_1539_2,plain,
! [U_4355,U_4354,U_4353,U_4352,U_4351,U_4350,U_4349,U_4348] : v1_finset_1(k6_enumset1(U_4355,U_4354,U_4353,U_4352,U_4351,U_4350,U_4349,U_4348)),
inference(variable_rename,[status(thm)],[f_1539_1]) ).
fof(f_1539_3,plain,
! [U_4349,U_4348,U_4351,U_4350,U_4354,U_4355,U_4352,U_4353] : v1_finset_1(k6_enumset1(U_4355,U_4354,U_4353,U_4352,U_4351,U_4350,U_4349,U_4348)),
inference(definitional_conversion,[status(esa)],[f_1539_2]) ).
cnf(f_1539_4,plain,
v1_finset_1(k6_enumset1(U_4355,U_4354,U_4353,U_4352,U_4351,U_4350,U_4349,U_4348)),
inference(clausify,[status(thm)],[f_1539_3]) ).
fof(f_1540_1,plain,
! [A] :
( ! [B] :
( v1_finset_1(B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_finset_1]) ).
fof(f_1540_2,plain,
! [U_4357] :
( ! [U_4356] :
( v1_finset_1(U_4356)
| ~ m1_subset_1(U_4356,k1_zfmisc_1(U_4357)) )
| ~ v1_finset_1(U_4357) ),
inference(variable_rename,[status(thm)],[f_1540_1]) ).
fof(f_1540_3,plain,
! [U_4356,U_4357] :
( v1_finset_1(U_4356)
| ~ m1_subset_1(U_4356,k1_zfmisc_1(U_4357))
| ~ v1_finset_1(U_4357) ),
inference(definitional_conversion,[status(esa)],[f_1540_2]) ).
cnf(f_1540_4,plain,
( v1_finset_1(U_4356)
| ~ m1_subset_1(U_4356,k1_zfmisc_1(U_4357))
| ~ v1_finset_1(U_4357) ),
inference(clausify,[status(thm)],[f_1540_3]) ).
fof(f_1541_1,plain,
! [A,B] :
( v1_finset_1(k2_xboole_0(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc9_finset_1]) ).
fof(f_1541_2,plain,
! [U_4359,U_4358] :
( v1_finset_1(k2_xboole_0(U_4359,U_4358))
| ~ v1_finset_1(U_4358)
| ~ v1_finset_1(U_4359) ),
inference(variable_rename,[status(thm)],[f_1541_1]) ).
fof(f_1541_3,plain,
! [U_4358,U_4359] :
( v1_finset_1(k2_xboole_0(U_4359,U_4358))
| ~ v1_finset_1(U_4358)
| ~ v1_finset_1(U_4359) ),
inference(definitional_conversion,[status(esa)],[f_1541_2]) ).
cnf(f_1541_4,plain,
( v1_finset_1(k2_xboole_0(U_4359,U_4358))
| ~ v1_finset_1(U_4358)
| ~ v1_finset_1(U_4359) ),
inference(clausify,[status(thm)],[f_1541_3]) ).
fof(f_1542_1,plain,
! [A,B] :
( v1_finset_1(k3_xboole_0(A,B))
| ~ v1_finset_1(B) ),
inference(fof_nnf,[status(thm)],[fc10_finset_1]) ).
fof(f_1542_2,plain,
! [U_4361,U_4360] :
( v1_finset_1(k3_xboole_0(U_4361,U_4360))
| ~ v1_finset_1(U_4360) ),
inference(variable_rename,[status(thm)],[f_1542_1]) ).
fof(f_1542_3,plain,
! [U_4360,U_4361] :
( v1_finset_1(k3_xboole_0(U_4361,U_4360))
| ~ v1_finset_1(U_4360) ),
inference(definitional_conversion,[status(esa)],[f_1542_2]) ).
cnf(f_1542_4,plain,
( v1_finset_1(k3_xboole_0(U_4361,U_4360))
| ~ v1_finset_1(U_4360) ),
inference(clausify,[status(thm)],[f_1542_3]) ).
fof(f_1543_1,plain,
! [A,B] :
( v1_finset_1(k3_xboole_0(A,B))
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc11_finset_1]) ).
fof(f_1543_2,plain,
! [U_4363,U_4362] :
( v1_finset_1(k3_xboole_0(U_4363,U_4362))
| ~ v1_finset_1(U_4363) ),
inference(variable_rename,[status(thm)],[f_1543_1]) ).
fof(f_1543_3,plain,
! [U_4363] :
( ! [U_4362] : v1_finset_1(k3_xboole_0(U_4363,U_4362))
| ~ v1_finset_1(U_4363) ),
inference(miniscope,[status(thm)],[f_1543_2]) ).
fof(f_1543_4,plain,
! [U_4362,U_4363] :
( v1_finset_1(k3_xboole_0(U_4363,U_4362))
| ~ v1_finset_1(U_4363) ),
inference(definitional_conversion,[status(esa)],[f_1543_3]) ).
cnf(f_1543_5,plain,
( v1_finset_1(k3_xboole_0(U_4363,U_4362))
| ~ v1_finset_1(U_4363) ),
inference(clausify,[status(thm)],[f_1543_4]) ).
fof(f_1544_1,plain,
! [A,B] :
( v1_finset_1(k4_xboole_0(A,B))
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc12_finset_1]) ).
fof(f_1544_2,plain,
! [U_4365,U_4364] :
( v1_finset_1(k4_xboole_0(U_4365,U_4364))
| ~ v1_finset_1(U_4365) ),
inference(variable_rename,[status(thm)],[f_1544_1]) ).
fof(f_1544_3,plain,
! [U_4365] :
( ! [U_4364] : v1_finset_1(k4_xboole_0(U_4365,U_4364))
| ~ v1_finset_1(U_4365) ),
inference(miniscope,[status(thm)],[f_1544_2]) ).
fof(f_1544_4,plain,
! [U_4365,U_4364] :
( v1_finset_1(k4_xboole_0(U_4365,U_4364))
| ~ v1_finset_1(U_4365) ),
inference(definitional_conversion,[status(esa)],[f_1544_3]) ).
cnf(f_1544_5,plain,
( v1_finset_1(k4_xboole_0(U_4365,U_4364))
| ~ v1_finset_1(U_4365) ),
inference(clausify,[status(thm)],[f_1544_4]) ).
fof(f_1545_1,plain,
! [A,B] :
( v1_finset_1(k9_relat_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc13_finset_1]) ).
fof(f_1545_2,plain,
! [U_4367,U_4366] :
( v1_finset_1(k9_relat_1(U_4367,U_4366))
| ~ v1_finset_1(U_4366)
| ~ v1_funct_1(U_4367)
| ~ v1_relat_1(U_4367) ),
inference(variable_rename,[status(thm)],[f_1545_1]) ).
fof(f_1545_3,plain,
! [U_4366,U_4367] :
( v1_finset_1(k9_relat_1(U_4367,U_4366))
| ~ v1_finset_1(U_4366)
| ~ v1_funct_1(U_4367)
| ~ v1_relat_1(U_4367) ),
inference(definitional_conversion,[status(esa)],[f_1545_2]) ).
cnf(f_1545_4,plain,
( v1_finset_1(k9_relat_1(U_4367,U_4366))
| ~ v1_finset_1(U_4366)
| ~ v1_funct_1(U_4367)
| ~ v1_relat_1(U_4367) ),
inference(clausify,[status(thm)],[f_1545_3]) ).
fof(f_1546_1,plain,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc14_finset_1]) ).
fof(f_1546_2,plain,
! [U_4369,U_4368] :
( v1_finset_1(k2_zfmisc_1(U_4369,U_4368))
| ~ v1_finset_1(U_4368)
| ~ v1_finset_1(U_4369) ),
inference(variable_rename,[status(thm)],[f_1546_1]) ).
fof(f_1546_3,plain,
! [U_4369,U_4368] :
( v1_finset_1(k2_zfmisc_1(U_4369,U_4368))
| ~ v1_finset_1(U_4368)
| ~ v1_finset_1(U_4369) ),
inference(definitional_conversion,[status(esa)],[f_1546_2]) ).
cnf(f_1546_4,plain,
( v1_finset_1(k2_zfmisc_1(U_4369,U_4368))
| ~ v1_finset_1(U_4368)
| ~ v1_finset_1(U_4369) ),
inference(clausify,[status(thm)],[f_1546_3]) ).
fof(f_1547_1,plain,
! [A,B,C] :
( v1_finset_1(k3_zfmisc_1(A,B,C))
| ~ v1_finset_1(C)
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc15_finset_1]) ).
fof(f_1547_2,plain,
! [U_4372,U_4371,U_4370] :
( v1_finset_1(k3_zfmisc_1(U_4372,U_4371,U_4370))
| ~ v1_finset_1(U_4370)
| ~ v1_finset_1(U_4371)
| ~ v1_finset_1(U_4372) ),
inference(variable_rename,[status(thm)],[f_1547_1]) ).
fof(f_1547_3,plain,
! [U_4370,U_4371,U_4372] :
( v1_finset_1(k3_zfmisc_1(U_4372,U_4371,U_4370))
| ~ v1_finset_1(U_4370)
| ~ v1_finset_1(U_4371)
| ~ v1_finset_1(U_4372) ),
inference(definitional_conversion,[status(esa)],[f_1547_2]) ).
cnf(f_1547_4,plain,
( v1_finset_1(k3_zfmisc_1(U_4372,U_4371,U_4370))
| ~ v1_finset_1(U_4370)
| ~ v1_finset_1(U_4371)
| ~ v1_finset_1(U_4372) ),
inference(clausify,[status(thm)],[f_1547_3]) ).
fof(f_1548_1,plain,
! [A,B,C,D] :
( v1_finset_1(k4_zfmisc_1(A,B,C,D))
| ~ v1_finset_1(D)
| ~ v1_finset_1(C)
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc16_finset_1]) ).
fof(f_1548_2,plain,
! [U_4376,U_4375,U_4374,U_4373] :
( v1_finset_1(k4_zfmisc_1(U_4376,U_4375,U_4374,U_4373))
| ~ v1_finset_1(U_4373)
| ~ v1_finset_1(U_4374)
| ~ v1_finset_1(U_4375)
| ~ v1_finset_1(U_4376) ),
inference(variable_rename,[status(thm)],[f_1548_1]) ).
fof(f_1548_3,plain,
! [U_4374,U_4373,U_4376,U_4375] :
( v1_finset_1(k4_zfmisc_1(U_4376,U_4375,U_4374,U_4373))
| ~ v1_finset_1(U_4373)
| ~ v1_finset_1(U_4374)
| ~ v1_finset_1(U_4375)
| ~ v1_finset_1(U_4376) ),
inference(definitional_conversion,[status(esa)],[f_1548_2]) ).
cnf(f_1548_4,plain,
( v1_finset_1(k4_zfmisc_1(U_4376,U_4375,U_4374,U_4373))
| ~ v1_finset_1(U_4373)
| ~ v1_finset_1(U_4374)
| ~ v1_finset_1(U_4375)
| ~ v1_finset_1(U_4376) ),
inference(clausify,[status(thm)],[f_1548_3]) ).
fof(f_1549_1,plain,
! [A,B] :
( v1_finset_1(k5_xboole_0(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc17_finset_1]) ).
fof(f_1549_2,plain,
! [U_4378,U_4377] :
( v1_finset_1(k5_xboole_0(U_4378,U_4377))
| ~ v1_finset_1(U_4377)
| ~ v1_finset_1(U_4378) ),
inference(variable_rename,[status(thm)],[f_1549_1]) ).
fof(f_1549_3,plain,
! [U_4377,U_4378] :
( v1_finset_1(k5_xboole_0(U_4378,U_4377))
| ~ v1_finset_1(U_4377)
| ~ v1_finset_1(U_4378) ),
inference(definitional_conversion,[status(esa)],[f_1549_2]) ).
cnf(f_1549_4,plain,
( v1_finset_1(k5_xboole_0(U_4378,U_4377))
| ~ v1_finset_1(U_4377)
| ~ v1_finset_1(U_4378) ),
inference(clausify,[status(thm)],[f_1549_3]) ).
fof(f_1550_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_finset_1]) ).
fof(f_1550_2,plain,
! [U_4380] :
( ? [U_4379] :
( v1_finset_1(U_4379)
& ~ v1_xboole_0(U_4379)
& m1_subset_1(U_4379,k1_zfmisc_1(U_4380)) )
| v1_xboole_0(U_4380) ),
inference(variable_rename,[status(thm)],[f_1550_1]) ).
fof(f_1550_3,plain,
! [U_4380] :
( ( v1_finset_1(sK494(U_4380))
& ~ v1_xboole_0(sK494(U_4380))
& m1_subset_1(sK494(U_4380),k1_zfmisc_1(U_4380)) )
| v1_xboole_0(U_4380) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK494]),skolemize(U_4379,sK494(U_4380))],[f_1550_2]) ).
fof(f_1550_4,plain,
( ! [U_4380] :
( v1_finset_1(sK494(U_4380))
| ~ sP699(U_4380) )
& ! [U_4380] :
( ~ v1_xboole_0(sK494(U_4380))
| ~ sP699(U_4380) )
& ! [U_4380] :
( m1_subset_1(sK494(U_4380),k1_zfmisc_1(U_4380))
| ~ sP699(U_4380) )
& ! [U_4380] :
( sP699(U_4380)
| v1_xboole_0(U_4380) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP699])],[f_1550_3]) ).
cnf(f_1550_5,plain,
( sP699(U_4380)
| v1_xboole_0(U_4380) ),
inference(clausify,[status(thm)],[f_1550_4]) ).
cnf(f_1550_6,plain,
( m1_subset_1(sK494(U_4380),k1_zfmisc_1(U_4380))
| ~ sP699(U_4380) ),
inference(clausify,[status(thm)],[f_1550_4]) ).
cnf(f_1550_7,plain,
( ~ v1_xboole_0(sK494(U_4380))
| ~ sP699(U_4380) ),
inference(clausify,[status(thm)],[f_1550_4]) ).
cnf(f_1550_8,plain,
( v1_finset_1(sK494(U_4380))
| ~ sP699(U_4380) ),
inference(clausify,[status(thm)],[f_1550_4]) ).
fof(f_1551_1,plain,
! [A] :
( ( v1_finset_1(A)
| ! [B] :
( ~ r2_hidden(k1_relat_1(B),k5_ordinal2)
| k2_relat_1(B) != A
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ) )
& ( ? [B] :
( r2_hidden(k1_relat_1(B),k5_ordinal2)
& k2_relat_1(B) = A
& v1_funct_1(B)
& v1_relat_1(B) )
| ~ v1_finset_1(A) ) ),
inference(fof_nnf,[status(thm)],[d1_finset_1]) ).
fof(f_1551_2,plain,
! [U_4383] :
( ( v1_finset_1(U_4383)
| ! [U_4382] :
( ~ r2_hidden(k1_relat_1(U_4382),k5_ordinal2)
| k2_relat_1(U_4382) != U_4383
| ~ v1_funct_1(U_4382)
| ~ v1_relat_1(U_4382) ) )
& ( ? [U_4381] :
( r2_hidden(k1_relat_1(U_4381),k5_ordinal2)
& k2_relat_1(U_4381) = U_4383
& v1_funct_1(U_4381)
& v1_relat_1(U_4381) )
| ~ v1_finset_1(U_4383) ) ),
inference(variable_rename,[status(thm)],[f_1551_1]) ).
fof(f_1551_3,plain,
( ! [U_4385] :
( v1_finset_1(U_4385)
| ! [U_4382] :
( ~ r2_hidden(k1_relat_1(U_4382),k5_ordinal2)
| k2_relat_1(U_4382) != U_4385
| ~ v1_funct_1(U_4382)
| ~ v1_relat_1(U_4382) ) )
& ! [U_4384] :
( ? [U_4381] :
( r2_hidden(k1_relat_1(U_4381),k5_ordinal2)
& k2_relat_1(U_4381) = U_4384
& v1_funct_1(U_4381)
& v1_relat_1(U_4381) )
| ~ v1_finset_1(U_4384) ) ),
inference(miniscope,[status(thm)],[f_1551_2]) ).
fof(f_1551_4,plain,
( ! [U_4385] :
( v1_finset_1(U_4385)
| ! [U_4382] :
( ~ r2_hidden(k1_relat_1(U_4382),k5_ordinal2)
| k2_relat_1(U_4382) != U_4385
| ~ v1_funct_1(U_4382)
| ~ v1_relat_1(U_4382) ) )
& ! [U_4384] :
( ( r2_hidden(k1_relat_1(sK495(U_4384)),k5_ordinal2)
& k2_relat_1(sK495(U_4384)) = U_4384
& v1_funct_1(sK495(U_4384))
& v1_relat_1(sK495(U_4384)) )
| ~ v1_finset_1(U_4384) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK495]),skolemize(U_4381,sK495(U_4384))],[f_1551_3]) ).
fof(f_1551_5,plain,
( ! [U_4384] :
( r2_hidden(k1_relat_1(sK495(U_4384)),k5_ordinal2)
| ~ sP700(U_4384) )
& ! [U_4384] :
( k2_relat_1(sK495(U_4384)) = U_4384
| ~ sP700(U_4384) )
& ! [U_4384] :
( v1_funct_1(sK495(U_4384))
| ~ sP700(U_4384) )
& ! [U_4384] :
( v1_relat_1(sK495(U_4384))
| ~ sP700(U_4384) )
& ! [U_4382,U_4385] :
( v1_finset_1(U_4385)
| ~ r2_hidden(k1_relat_1(U_4382),k5_ordinal2)
| k2_relat_1(U_4382) != U_4385
| ~ v1_funct_1(U_4382)
| ~ v1_relat_1(U_4382) )
& ! [U_4384] :
( sP700(U_4384)
| ~ v1_finset_1(U_4384) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP700])],[f_1551_4]) ).
cnf(f_1551_6,plain,
( sP700(U_4384)
| ~ v1_finset_1(U_4384) ),
inference(clausify,[status(thm)],[f_1551_5]) ).
cnf(f_1551_7,plain,
( v1_finset_1(U_4385)
| ~ r2_hidden(k1_relat_1(U_4382),k5_ordinal2)
| k2_relat_1(U_4382) != U_4385
| ~ v1_funct_1(U_4382)
| ~ v1_relat_1(U_4382) ),
inference(clausify,[status(thm)],[f_1551_5]) ).
cnf(f_1551_8,plain,
( v1_relat_1(sK495(U_4384))
| ~ sP700(U_4384) ),
inference(clausify,[status(thm)],[f_1551_5]) ).
cnf(f_1551_9,plain,
( v1_funct_1(sK495(U_4384))
| ~ sP700(U_4384) ),
inference(clausify,[status(thm)],[f_1551_5]) ).
cnf(f_1551_10,plain,
( k2_relat_1(sK495(U_4384)) = U_4384
| ~ sP700(U_4384) ),
inference(clausify,[status(thm)],[f_1551_5]) ).
cnf(f_1551_11,plain,
( r2_hidden(k1_relat_1(sK495(U_4384)),k5_ordinal2)
| ~ sP700(U_4384) ),
inference(clausify,[status(thm)],[f_1551_5]) ).
fof(f_1552_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_finset_1]) ).
fof(f_1552_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1552_1]) ).
cnf(f_1552_3,plain,
$true,
inference(clausify,[status(thm)],[f_1552_2]) ).
fof(f_1553_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_finset_1]) ).
fof(f_1553_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1553_1]) ).
cnf(f_1553_3,plain,
$true,
inference(clausify,[status(thm)],[f_1553_2]) ).
fof(f_1554_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_finset_1]) ).
fof(f_1554_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1554_1]) ).
cnf(f_1554_3,plain,
$true,
inference(clausify,[status(thm)],[f_1554_2]) ).
fof(f_1555_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_finset_1]) ).
fof(f_1555_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1555_1]) ).
cnf(f_1555_3,plain,
$true,
inference(clausify,[status(thm)],[f_1555_2]) ).
fof(f_1556_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_finset_1]) ).
fof(f_1556_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1556_1]) ).
cnf(f_1556_3,plain,
$true,
inference(clausify,[status(thm)],[f_1556_2]) ).
fof(f_1557_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_finset_1]) ).
fof(f_1557_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1557_1]) ).
cnf(f_1557_3,plain,
$true,
inference(clausify,[status(thm)],[f_1557_2]) ).
fof(f_1558_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_finset_1]) ).
fof(f_1558_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1558_1]) ).
cnf(f_1558_3,plain,
$true,
inference(clausify,[status(thm)],[f_1558_2]) ).
fof(f_1559_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_finset_1]) ).
fof(f_1559_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1559_1]) ).
cnf(f_1559_3,plain,
$true,
inference(clausify,[status(thm)],[f_1559_2]) ).
fof(f_1560_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_finset_1]) ).
fof(f_1560_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1560_1]) ).
cnf(f_1560_3,plain,
$true,
inference(clausify,[status(thm)],[f_1560_2]) ).
fof(f_1561_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_finset_1]) ).
fof(f_1561_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1561_1]) ).
cnf(f_1561_3,plain,
$true,
inference(clausify,[status(thm)],[f_1561_2]) ).
fof(f_1562_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_finset_1]) ).
fof(f_1562_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1562_1]) ).
cnf(f_1562_3,plain,
$true,
inference(clausify,[status(thm)],[f_1562_2]) ).
fof(f_1563_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_finset_1]) ).
fof(f_1563_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1563_1]) ).
cnf(f_1563_3,plain,
$true,
inference(clausify,[status(thm)],[f_1563_2]) ).
fof(f_1564_1,plain,
! [A,B] :
( v1_finset_1(A)
| ~ v1_finset_1(B)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t13_finset_1]) ).
fof(f_1564_2,plain,
! [U_4387,U_4386] :
( v1_finset_1(U_4387)
| ~ v1_finset_1(U_4386)
| ~ r1_tarski(U_4387,U_4386) ),
inference(variable_rename,[status(thm)],[f_1564_1]) ).
fof(f_1564_3,plain,
! [U_4387] :
( ! [U_4386] :
( ~ v1_finset_1(U_4386)
| ~ r1_tarski(U_4387,U_4386) )
| v1_finset_1(U_4387) ),
inference(miniscope,[status(thm)],[f_1564_2]) ).
fof(f_1564_4,plain,
! [U_4387,U_4386] :
( ~ v1_finset_1(U_4386)
| ~ r1_tarski(U_4387,U_4386)
| v1_finset_1(U_4387) ),
inference(definitional_conversion,[status(esa)],[f_1564_3]) ).
cnf(f_1564_5,plain,
( ~ v1_finset_1(U_4386)
| ~ r1_tarski(U_4387,U_4386)
| v1_finset_1(U_4387) ),
inference(clausify,[status(thm)],[f_1564_4]) ).
fof(f_1565_1,plain,
! [A,B] :
( v1_finset_1(k2_xboole_0(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t14_finset_1]) ).
fof(f_1565_2,plain,
! [U_4389,U_4388] :
( v1_finset_1(k2_xboole_0(U_4389,U_4388))
| ~ v1_finset_1(U_4388)
| ~ v1_finset_1(U_4389) ),
inference(variable_rename,[status(thm)],[f_1565_1]) ).
fof(f_1565_3,plain,
! [U_4389,U_4388] :
( v1_finset_1(k2_xboole_0(U_4389,U_4388))
| ~ v1_finset_1(U_4388)
| ~ v1_finset_1(U_4389) ),
inference(definitional_conversion,[status(esa)],[f_1565_2]) ).
cnf(f_1565_4,plain,
( v1_finset_1(k2_xboole_0(U_4389,U_4388))
| ~ v1_finset_1(U_4388)
| ~ v1_finset_1(U_4389) ),
inference(clausify,[status(thm)],[f_1565_3]) ).
fof(f_1566_1,plain,
! [A,B] :
( v1_finset_1(k3_xboole_0(A,B))
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t15_finset_1]) ).
fof(f_1566_2,plain,
! [U_4391,U_4390] :
( v1_finset_1(k3_xboole_0(U_4391,U_4390))
| ~ v1_finset_1(U_4391) ),
inference(variable_rename,[status(thm)],[f_1566_1]) ).
fof(f_1566_3,plain,
! [U_4391] :
( ! [U_4390] : v1_finset_1(k3_xboole_0(U_4391,U_4390))
| ~ v1_finset_1(U_4391) ),
inference(miniscope,[status(thm)],[f_1566_2]) ).
fof(f_1566_4,plain,
! [U_4391,U_4390] :
( v1_finset_1(k3_xboole_0(U_4391,U_4390))
| ~ v1_finset_1(U_4391) ),
inference(definitional_conversion,[status(esa)],[f_1566_3]) ).
cnf(f_1566_5,plain,
( v1_finset_1(k3_xboole_0(U_4391,U_4390))
| ~ v1_finset_1(U_4391) ),
inference(clausify,[status(thm)],[f_1566_4]) ).
fof(f_1567_1,plain,
! [A,B] :
( v1_finset_1(k4_xboole_0(A,B))
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t16_finset_1]) ).
fof(f_1567_2,plain,
! [U_4393,U_4392] :
( v1_finset_1(k4_xboole_0(U_4393,U_4392))
| ~ v1_finset_1(U_4393) ),
inference(variable_rename,[status(thm)],[f_1567_1]) ).
fof(f_1567_3,plain,
! [U_4393] :
( ! [U_4392] : v1_finset_1(k4_xboole_0(U_4393,U_4392))
| ~ v1_finset_1(U_4393) ),
inference(miniscope,[status(thm)],[f_1567_2]) ).
fof(f_1567_4,plain,
! [U_4392,U_4393] :
( v1_finset_1(k4_xboole_0(U_4393,U_4392))
| ~ v1_finset_1(U_4393) ),
inference(definitional_conversion,[status(esa)],[f_1567_3]) ).
cnf(f_1567_5,plain,
( v1_finset_1(k4_xboole_0(U_4393,U_4392))
| ~ v1_finset_1(U_4393) ),
inference(clausify,[status(thm)],[f_1567_4]) ).
fof(f_1568_1,plain,
! [A,B] :
( v1_finset_1(k9_relat_1(B,A))
| ~ v1_finset_1(A)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t17_finset_1]) ).
fof(f_1568_2,plain,
! [U_4395,U_4394] :
( v1_finset_1(k9_relat_1(U_4394,U_4395))
| ~ v1_finset_1(U_4395)
| ~ v1_funct_1(U_4394)
| ~ v1_relat_1(U_4394) ),
inference(variable_rename,[status(thm)],[f_1568_1]) ).
fof(f_1568_3,plain,
! [U_4394,U_4395] :
( v1_finset_1(k9_relat_1(U_4394,U_4395))
| ~ v1_finset_1(U_4395)
| ~ v1_funct_1(U_4394)
| ~ v1_relat_1(U_4394) ),
inference(definitional_conversion,[status(esa)],[f_1568_2]) ).
cnf(f_1568_4,plain,
( v1_finset_1(k9_relat_1(U_4394,U_4395))
| ~ v1_finset_1(U_4395)
| ~ v1_funct_1(U_4394)
| ~ v1_relat_1(U_4394) ),
inference(clausify,[status(thm)],[f_1568_3]) ).
fof(f_1569_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( ! [D] :
( D = C
| ~ r1_tarski(C,D)
| ~ r2_hidden(D,B) )
& r2_hidden(C,B) )
| B = k1_xboole_0
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t18_finset_1]) ).
fof(f_1569_2,plain,
! [U_4399] :
( ! [U_4398] :
( ? [U_4397] :
( ! [U_4396] :
( U_4396 = U_4397
| ~ r1_tarski(U_4397,U_4396)
| ~ r2_hidden(U_4396,U_4398) )
& r2_hidden(U_4397,U_4398) )
| U_4398 = k1_xboole_0
| ~ m1_subset_1(U_4398,k1_zfmisc_1(k1_zfmisc_1(U_4399))) )
| ~ v1_finset_1(U_4399) ),
inference(variable_rename,[status(thm)],[f_1569_1]) ).
fof(f_1569_3,plain,
! [U_4399] :
( ! [U_4398] :
( ( ! [U_4396] :
( U_4396 = sK496(U_4399,U_4398)
| ~ r1_tarski(sK496(U_4399,U_4398),U_4396)
| ~ r2_hidden(U_4396,U_4398) )
& r2_hidden(sK496(U_4399,U_4398),U_4398) )
| U_4398 = k1_xboole_0
| ~ m1_subset_1(U_4398,k1_zfmisc_1(k1_zfmisc_1(U_4399))) )
| ~ v1_finset_1(U_4399) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK496]),skolemize(U_4397,sK496(U_4399,U_4398))],[f_1569_2]) ).
fof(f_1569_4,plain,
( ! [U_4396,U_4398,U_4399] :
( U_4396 = sK496(U_4399,U_4398)
| ~ r1_tarski(sK496(U_4399,U_4398),U_4396)
| ~ r2_hidden(U_4396,U_4398)
| ~ sP701(U_4396,U_4398,U_4399) )
& ! [U_4396,U_4398,U_4399] :
( r2_hidden(sK496(U_4399,U_4398),U_4398)
| ~ sP701(U_4396,U_4398,U_4399) )
& ! [U_4396,U_4398,U_4399] :
( sP701(U_4396,U_4398,U_4399)
| U_4398 = k1_xboole_0
| ~ m1_subset_1(U_4398,k1_zfmisc_1(k1_zfmisc_1(U_4399)))
| ~ v1_finset_1(U_4399) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP701])],[f_1569_3]) ).
cnf(f_1569_5,plain,
( sP701(U_4396,U_4398,U_4399)
| U_4398 = k1_xboole_0
| ~ m1_subset_1(U_4398,k1_zfmisc_1(k1_zfmisc_1(U_4399)))
| ~ v1_finset_1(U_4399) ),
inference(clausify,[status(thm)],[f_1569_4]) ).
cnf(f_1569_6,plain,
( r2_hidden(sK496(U_4399,U_4398),U_4398)
| ~ sP701(U_4396,U_4398,U_4399) ),
inference(clausify,[status(thm)],[f_1569_4]) ).
cnf(f_1569_7,plain,
( U_4396 = sK496(U_4399,U_4398)
| ~ r1_tarski(sK496(U_4399,U_4398),U_4396)
| ~ r2_hidden(U_4396,U_4398)
| ~ sP701(U_4396,U_4398,U_4399) ),
inference(clausify,[status(thm)],[f_1569_4]) ).
fof(f_1570_1,plain,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t19_finset_1]) ).
fof(f_1570_2,plain,
! [U_4401,U_4400] :
( v1_finset_1(k2_zfmisc_1(U_4401,U_4400))
| ~ v1_finset_1(U_4400)
| ~ v1_finset_1(U_4401) ),
inference(variable_rename,[status(thm)],[f_1570_1]) ).
fof(f_1570_3,plain,
! [U_4401,U_4400] :
( v1_finset_1(k2_zfmisc_1(U_4401,U_4400))
| ~ v1_finset_1(U_4400)
| ~ v1_finset_1(U_4401) ),
inference(definitional_conversion,[status(esa)],[f_1570_2]) ).
cnf(f_1570_4,plain,
( v1_finset_1(k2_zfmisc_1(U_4401,U_4400))
| ~ v1_finset_1(U_4400)
| ~ v1_finset_1(U_4401) ),
inference(clausify,[status(thm)],[f_1570_3]) ).
fof(f_1571_1,plain,
! [A,B,C] :
( v1_finset_1(k3_zfmisc_1(A,B,C))
| ~ v1_finset_1(C)
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t20_finset_1]) ).
fof(f_1571_2,plain,
! [U_4404,U_4403,U_4402] :
( v1_finset_1(k3_zfmisc_1(U_4404,U_4403,U_4402))
| ~ v1_finset_1(U_4402)
| ~ v1_finset_1(U_4403)
| ~ v1_finset_1(U_4404) ),
inference(variable_rename,[status(thm)],[f_1571_1]) ).
fof(f_1571_3,plain,
! [U_4402,U_4403,U_4404] :
( v1_finset_1(k3_zfmisc_1(U_4404,U_4403,U_4402))
| ~ v1_finset_1(U_4402)
| ~ v1_finset_1(U_4403)
| ~ v1_finset_1(U_4404) ),
inference(definitional_conversion,[status(esa)],[f_1571_2]) ).
cnf(f_1571_4,plain,
( v1_finset_1(k3_zfmisc_1(U_4404,U_4403,U_4402))
| ~ v1_finset_1(U_4402)
| ~ v1_finset_1(U_4403)
| ~ v1_finset_1(U_4404) ),
inference(clausify,[status(thm)],[f_1571_3]) ).
fof(f_1572_1,plain,
! [A,B,C,D] :
( v1_finset_1(k4_zfmisc_1(A,B,C,D))
| ~ v1_finset_1(D)
| ~ v1_finset_1(C)
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t21_finset_1]) ).
fof(f_1572_2,plain,
! [U_4408,U_4407,U_4406,U_4405] :
( v1_finset_1(k4_zfmisc_1(U_4408,U_4407,U_4406,U_4405))
| ~ v1_finset_1(U_4405)
| ~ v1_finset_1(U_4406)
| ~ v1_finset_1(U_4407)
| ~ v1_finset_1(U_4408) ),
inference(variable_rename,[status(thm)],[f_1572_1]) ).
fof(f_1572_3,plain,
! [U_4408,U_4405,U_4407,U_4406] :
( v1_finset_1(k4_zfmisc_1(U_4408,U_4407,U_4406,U_4405))
| ~ v1_finset_1(U_4405)
| ~ v1_finset_1(U_4406)
| ~ v1_finset_1(U_4407)
| ~ v1_finset_1(U_4408) ),
inference(definitional_conversion,[status(esa)],[f_1572_2]) ).
cnf(f_1572_4,plain,
( v1_finset_1(k4_zfmisc_1(U_4408,U_4407,U_4406,U_4405))
| ~ v1_finset_1(U_4405)
| ~ v1_finset_1(U_4406)
| ~ v1_finset_1(U_4407)
| ~ v1_finset_1(U_4408) ),
inference(clausify,[status(thm)],[f_1572_3]) ).
fof(f_1573_1,plain,
! [A,B] :
( v1_finset_1(B)
| A = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(B,A)) ),
inference(fof_nnf,[status(thm)],[t22_finset_1]) ).
fof(f_1573_2,plain,
! [U_4410,U_4409] :
( v1_finset_1(U_4409)
| U_4410 = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(U_4409,U_4410)) ),
inference(variable_rename,[status(thm)],[f_1573_1]) ).
fof(f_1573_3,plain,
! [U_4409,U_4410] :
( v1_finset_1(U_4409)
| U_4410 = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(U_4409,U_4410)) ),
inference(definitional_conversion,[status(esa)],[f_1573_2]) ).
cnf(f_1573_4,plain,
( v1_finset_1(U_4409)
| U_4410 = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(U_4409,U_4410)) ),
inference(clausify,[status(thm)],[f_1573_3]) ).
fof(f_1574_1,plain,
! [A,B] :
( v1_finset_1(B)
| A = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(A,B)) ),
inference(fof_nnf,[status(thm)],[t23_finset_1]) ).
fof(f_1574_2,plain,
! [U_4412,U_4411] :
( v1_finset_1(U_4411)
| U_4412 = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(U_4412,U_4411)) ),
inference(variable_rename,[status(thm)],[f_1574_1]) ).
fof(f_1574_3,plain,
! [U_4411,U_4412] :
( v1_finset_1(U_4411)
| U_4412 = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(U_4412,U_4411)) ),
inference(definitional_conversion,[status(esa)],[f_1574_2]) ).
cnf(f_1574_4,plain,
( v1_finset_1(U_4411)
| U_4412 = k1_xboole_0
| ~ v1_finset_1(k2_zfmisc_1(U_4412,U_4411)) ),
inference(clausify,[status(thm)],[f_1574_3]) ).
fof(f_1575_1,plain,
! [A] :
( ( v1_finset_1(A)
| ~ v1_finset_1(k1_zfmisc_1(A)) )
& ( v1_finset_1(k1_zfmisc_1(A))
| ~ v1_finset_1(A) ) ),
inference(fof_nnf,[status(thm)],[t24_finset_1]) ).
fof(f_1575_2,plain,
! [U_4413] :
( ( v1_finset_1(U_4413)
| ~ v1_finset_1(k1_zfmisc_1(U_4413)) )
& ( v1_finset_1(k1_zfmisc_1(U_4413))
| ~ v1_finset_1(U_4413) ) ),
inference(variable_rename,[status(thm)],[f_1575_1]) ).
fof(f_1575_3,plain,
( ! [U_4415] :
( v1_finset_1(U_4415)
| ~ v1_finset_1(k1_zfmisc_1(U_4415)) )
& ! [U_4414] :
( v1_finset_1(k1_zfmisc_1(U_4414))
| ~ v1_finset_1(U_4414) ) ),
inference(miniscope,[status(thm)],[f_1575_2]) ).
fof(f_1575_4,plain,
( ! [U_4415] :
( v1_finset_1(U_4415)
| ~ v1_finset_1(k1_zfmisc_1(U_4415)) )
& ! [U_4414] :
( v1_finset_1(k1_zfmisc_1(U_4414))
| ~ v1_finset_1(U_4414) ) ),
inference(definitional_conversion,[status(esa)],[f_1575_3]) ).
cnf(f_1575_5,plain,
( v1_finset_1(k1_zfmisc_1(U_4414))
| ~ v1_finset_1(U_4414) ),
inference(clausify,[status(thm)],[f_1575_4]) ).
cnf(f_1575_6,plain,
( v1_finset_1(U_4415)
| ~ v1_finset_1(k1_zfmisc_1(U_4415)) ),
inference(clausify,[status(thm)],[f_1575_4]) ).
fof(f_1576_1,plain,
! [A] :
( ( ( ! [B] :
( v1_finset_1(B)
| ~ r2_hidden(B,A) )
& v1_finset_1(A) )
| ~ v1_finset_1(k3_tarski(A)) )
& ( v1_finset_1(k3_tarski(A))
| ? [B] :
( ~ v1_finset_1(B)
& r2_hidden(B,A) )
| ~ v1_finset_1(A) ) ),
inference(fof_nnf,[status(thm)],[t25_finset_1]) ).
fof(f_1576_2,plain,
! [U_4418] :
( ( ( ! [U_4417] :
( v1_finset_1(U_4417)
| ~ r2_hidden(U_4417,U_4418) )
& v1_finset_1(U_4418) )
| ~ v1_finset_1(k3_tarski(U_4418)) )
& ( v1_finset_1(k3_tarski(U_4418))
| ? [U_4416] :
( ~ v1_finset_1(U_4416)
& r2_hidden(U_4416,U_4418) )
| ~ v1_finset_1(U_4418) ) ),
inference(variable_rename,[status(thm)],[f_1576_1]) ).
fof(f_1576_3,plain,
( ! [U_4420] :
( ( ! [U_4417] :
( v1_finset_1(U_4417)
| ~ r2_hidden(U_4417,U_4420) )
& v1_finset_1(U_4420) )
| ~ v1_finset_1(k3_tarski(U_4420)) )
& ! [U_4419] :
( v1_finset_1(k3_tarski(U_4419))
| ? [U_4416] :
( ~ v1_finset_1(U_4416)
& r2_hidden(U_4416,U_4419) )
| ~ v1_finset_1(U_4419) ) ),
inference(miniscope,[status(thm)],[f_1576_2]) ).
fof(f_1576_4,plain,
( ! [U_4420] :
( ( ! [U_4417] :
( v1_finset_1(U_4417)
| ~ r2_hidden(U_4417,U_4420) )
& v1_finset_1(U_4420) )
| ~ v1_finset_1(k3_tarski(U_4420)) )
& ! [U_4419] :
( v1_finset_1(k3_tarski(U_4419))
| ( ~ v1_finset_1(sK497(U_4419))
& r2_hidden(sK497(U_4419),U_4419) )
| ~ v1_finset_1(U_4419) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK497]),skolemize(U_4416,sK497(U_4419))],[f_1576_3]) ).
fof(f_1576_5,plain,
( ! [U_4417,U_4420] :
( v1_finset_1(U_4417)
| ~ r2_hidden(U_4417,U_4420)
| ~ sP703(U_4417,U_4420) )
& ! [U_4417,U_4420] :
( v1_finset_1(U_4420)
| ~ sP703(U_4417,U_4420) )
& ! [U_4419] :
( ~ v1_finset_1(sK497(U_4419))
| ~ sP702(U_4419) )
& ! [U_4419] :
( r2_hidden(sK497(U_4419),U_4419)
| ~ sP702(U_4419) )
& ! [U_4417,U_4420] :
( sP703(U_4417,U_4420)
| ~ v1_finset_1(k3_tarski(U_4420)) )
& ! [U_4419] :
( v1_finset_1(k3_tarski(U_4419))
| sP702(U_4419)
| ~ v1_finset_1(U_4419) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP702,sP703])],[f_1576_4]) ).
cnf(f_1576_6,plain,
( v1_finset_1(k3_tarski(U_4419))
| sP702(U_4419)
| ~ v1_finset_1(U_4419) ),
inference(clausify,[status(thm)],[f_1576_5]) ).
cnf(f_1576_7,plain,
( sP703(U_4417,U_4420)
| ~ v1_finset_1(k3_tarski(U_4420)) ),
inference(clausify,[status(thm)],[f_1576_5]) ).
cnf(f_1576_8,plain,
( r2_hidden(sK497(U_4419),U_4419)
| ~ sP702(U_4419) ),
inference(clausify,[status(thm)],[f_1576_5]) ).
cnf(f_1576_9,plain,
( ~ v1_finset_1(sK497(U_4419))
| ~ sP702(U_4419) ),
inference(clausify,[status(thm)],[f_1576_5]) ).
cnf(f_1576_10,plain,
( v1_finset_1(U_4420)
| ~ sP703(U_4417,U_4420) ),
inference(clausify,[status(thm)],[f_1576_5]) ).
cnf(f_1576_11,plain,
( v1_finset_1(U_4417)
| ~ r2_hidden(U_4417,U_4420)
| ~ sP703(U_4417,U_4420) ),
inference(clausify,[status(thm)],[f_1576_5]) ).
fof(f_1577_1,plain,
! [A] :
( v1_finset_1(k2_relat_1(A))
| ~ v1_finset_1(k1_relat_1(A))
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t26_finset_1]) ).
fof(f_1577_2,plain,
! [U_4421] :
( v1_finset_1(k2_relat_1(U_4421))
| ~ v1_finset_1(k1_relat_1(U_4421))
| ~ v1_funct_1(U_4421)
| ~ v1_relat_1(U_4421) ),
inference(variable_rename,[status(thm)],[f_1577_1]) ).
fof(f_1577_3,plain,
! [U_4421] :
( v1_finset_1(k2_relat_1(U_4421))
| ~ v1_finset_1(k1_relat_1(U_4421))
| ~ v1_funct_1(U_4421)
| ~ v1_relat_1(U_4421) ),
inference(definitional_conversion,[status(esa)],[f_1577_2]) ).
cnf(f_1577_4,plain,
( v1_finset_1(k2_relat_1(U_4421))
| ~ v1_finset_1(k1_relat_1(U_4421))
| ~ v1_funct_1(U_4421)
| ~ v1_relat_1(U_4421) ),
inference(clausify,[status(thm)],[f_1577_3]) ).
fof(f_1578_1,plain,
! [A,B] :
( v1_finset_1(A)
| ~ v1_finset_1(k10_relat_1(B,A))
| ~ r1_tarski(A,k2_relat_1(B))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t27_finset_1]) ).
fof(f_1578_2,plain,
! [U_4423,U_4422] :
( v1_finset_1(U_4423)
| ~ v1_finset_1(k10_relat_1(U_4422,U_4423))
| ~ r1_tarski(U_4423,k2_relat_1(U_4422))
| ~ v1_funct_1(U_4422)
| ~ v1_relat_1(U_4422) ),
inference(variable_rename,[status(thm)],[f_1578_1]) ).
fof(f_1578_3,plain,
! [U_4422,U_4423] :
( v1_finset_1(U_4423)
| ~ v1_finset_1(k10_relat_1(U_4422,U_4423))
| ~ r1_tarski(U_4423,k2_relat_1(U_4422))
| ~ v1_funct_1(U_4422)
| ~ v1_relat_1(U_4422) ),
inference(definitional_conversion,[status(esa)],[f_1578_2]) ).
cnf(f_1578_4,plain,
( v1_finset_1(U_4423)
| ~ v1_finset_1(k10_relat_1(U_4422,U_4423))
| ~ r1_tarski(U_4423,k2_relat_1(U_4422))
| ~ v1_funct_1(U_4422)
| ~ v1_relat_1(U_4422) ),
inference(clausify,[status(thm)],[f_1578_3]) ).
fof(f_1579_1,plain,
! [A,B] :
( v1_finset_1(k5_xboole_0(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t28_finset_1]) ).
fof(f_1579_2,plain,
! [U_4425,U_4424] :
( v1_finset_1(k5_xboole_0(U_4425,U_4424))
| ~ v1_finset_1(U_4424)
| ~ v1_finset_1(U_4425) ),
inference(variable_rename,[status(thm)],[f_1579_1]) ).
fof(f_1579_3,plain,
! [U_4425,U_4424] :
( v1_finset_1(k5_xboole_0(U_4425,U_4424))
| ~ v1_finset_1(U_4424)
| ~ v1_finset_1(U_4425) ),
inference(definitional_conversion,[status(esa)],[f_1579_2]) ).
cnf(f_1579_4,plain,
( v1_finset_1(k5_xboole_0(U_4425,U_4424))
| ~ v1_finset_1(U_4424)
| ~ v1_finset_1(U_4425) ),
inference(clausify,[status(thm)],[f_1579_3]) ).
fof(f_1580_1,plain,
! [A] :
( ( ( v1_finset_1(k1_relat_1(A))
| ~ v1_finset_1(A) )
& ( v1_finset_1(A)
| ~ v1_finset_1(k1_relat_1(A)) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t29_finset_1]) ).
fof(f_1580_2,plain,
! [U_4426] :
( ( ( v1_finset_1(k1_relat_1(U_4426))
| ~ v1_finset_1(U_4426) )
& ( v1_finset_1(U_4426)
| ~ v1_finset_1(k1_relat_1(U_4426)) ) )
| ~ v1_funct_1(U_4426)
| ~ v1_relat_1(U_4426) ),
inference(variable_rename,[status(thm)],[f_1580_1]) ).
fof(f_1580_3,plain,
( ! [U_4426] :
( v1_finset_1(k1_relat_1(U_4426))
| ~ v1_finset_1(U_4426)
| ~ sP704(U_4426) )
& ! [U_4426] :
( v1_finset_1(U_4426)
| ~ v1_finset_1(k1_relat_1(U_4426))
| ~ sP704(U_4426) )
& ! [U_4426] :
( sP704(U_4426)
| ~ v1_funct_1(U_4426)
| ~ v1_relat_1(U_4426) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP704])],[f_1580_2]) ).
cnf(f_1580_4,plain,
( sP704(U_4426)
| ~ v1_funct_1(U_4426)
| ~ v1_relat_1(U_4426) ),
inference(clausify,[status(thm)],[f_1580_3]) ).
cnf(f_1580_5,plain,
( v1_finset_1(U_4426)
| ~ v1_finset_1(k1_relat_1(U_4426))
| ~ sP704(U_4426) ),
inference(clausify,[status(thm)],[f_1580_3]) ).
cnf(f_1580_6,plain,
( v1_finset_1(k1_relat_1(U_4426))
| ~ v1_finset_1(U_4426)
| ~ sP704(U_4426) ),
inference(clausify,[status(thm)],[f_1580_3]) ).
fof(f_1581_1,plain,
! [A] :
( ? [B] :
( ! [C] :
( r1_tarski(B,C)
| ~ r2_hidden(C,A) )
& r2_hidden(B,A) )
| ~ v6_ordinal1(A)
| A = k1_xboole_0
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t30_finset_1]) ).
fof(f_1581_2,plain,
! [U_4429] :
( ? [U_4428] :
( ! [U_4427] :
( r1_tarski(U_4428,U_4427)
| ~ r2_hidden(U_4427,U_4429) )
& r2_hidden(U_4428,U_4429) )
| ~ v6_ordinal1(U_4429)
| U_4429 = k1_xboole_0
| ~ v1_finset_1(U_4429) ),
inference(variable_rename,[status(thm)],[f_1581_1]) ).
fof(f_1581_3,plain,
! [U_4429] :
( ( ! [U_4427] :
( r1_tarski(sK498(U_4429),U_4427)
| ~ r2_hidden(U_4427,U_4429) )
& r2_hidden(sK498(U_4429),U_4429) )
| ~ v6_ordinal1(U_4429)
| U_4429 = k1_xboole_0
| ~ v1_finset_1(U_4429) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK498]),skolemize(U_4428,sK498(U_4429))],[f_1581_2]) ).
fof(f_1581_4,plain,
( ! [U_4429,U_4427] :
( r1_tarski(sK498(U_4429),U_4427)
| ~ r2_hidden(U_4427,U_4429)
| ~ sP705(U_4429,U_4427) )
& ! [U_4429,U_4427] :
( r2_hidden(sK498(U_4429),U_4429)
| ~ sP705(U_4429,U_4427) )
& ! [U_4429,U_4427] :
( sP705(U_4429,U_4427)
| ~ v6_ordinal1(U_4429)
| U_4429 = k1_xboole_0
| ~ v1_finset_1(U_4429) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP705])],[f_1581_3]) ).
cnf(f_1581_5,plain,
( sP705(U_4429,U_4427)
| ~ v6_ordinal1(U_4429)
| U_4429 = k1_xboole_0
| ~ v1_finset_1(U_4429) ),
inference(clausify,[status(thm)],[f_1581_4]) ).
cnf(f_1581_6,plain,
( r2_hidden(sK498(U_4429),U_4429)
| ~ sP705(U_4429,U_4427) ),
inference(clausify,[status(thm)],[f_1581_4]) ).
cnf(f_1581_7,plain,
( r1_tarski(sK498(U_4429),U_4427)
| ~ r2_hidden(U_4427,U_4429)
| ~ sP705(U_4429,U_4427) ),
inference(clausify,[status(thm)],[f_1581_4]) ).
fof(f_1582_1,plain,
! [A] :
( ? [B] :
( ! [C] :
( r1_tarski(C,B)
| ~ r2_hidden(C,A) )
& r2_hidden(B,A) )
| ~ v6_ordinal1(A)
| A = k1_xboole_0
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t31_finset_1]) ).
fof(f_1582_2,plain,
! [U_4432] :
( ? [U_4431] :
( ! [U_4430] :
( r1_tarski(U_4430,U_4431)
| ~ r2_hidden(U_4430,U_4432) )
& r2_hidden(U_4431,U_4432) )
| ~ v6_ordinal1(U_4432)
| U_4432 = k1_xboole_0
| ~ v1_finset_1(U_4432) ),
inference(variable_rename,[status(thm)],[f_1582_1]) ).
fof(f_1582_3,plain,
! [U_4432] :
( ( ! [U_4430] :
( r1_tarski(U_4430,sK499(U_4432))
| ~ r2_hidden(U_4430,U_4432) )
& r2_hidden(sK499(U_4432),U_4432) )
| ~ v6_ordinal1(U_4432)
| U_4432 = k1_xboole_0
| ~ v1_finset_1(U_4432) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK499]),skolemize(U_4431,sK499(U_4432))],[f_1582_2]) ).
fof(f_1582_4,plain,
( ! [U_4432,U_4430] :
( r1_tarski(U_4430,sK499(U_4432))
| ~ r2_hidden(U_4430,U_4432)
| ~ sP706(U_4432,U_4430) )
& ! [U_4432,U_4430] :
( r2_hidden(sK499(U_4432),U_4432)
| ~ sP706(U_4432,U_4430) )
& ! [U_4432,U_4430] :
( sP706(U_4432,U_4430)
| ~ v6_ordinal1(U_4432)
| U_4432 = k1_xboole_0
| ~ v1_finset_1(U_4432) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP706])],[f_1582_3]) ).
cnf(f_1582_5,plain,
( sP706(U_4432,U_4430)
| ~ v6_ordinal1(U_4432)
| U_4432 = k1_xboole_0
| ~ v1_finset_1(U_4432) ),
inference(clausify,[status(thm)],[f_1582_4]) ).
cnf(f_1582_6,plain,
( r2_hidden(sK499(U_4432),U_4432)
| ~ sP706(U_4432,U_4430) ),
inference(clausify,[status(thm)],[f_1582_4]) ).
cnf(f_1582_7,plain,
( r1_tarski(U_4430,sK499(U_4432))
| ~ r2_hidden(U_4430,U_4432)
| ~ sP706(U_4432,U_4430) ),
inference(clausify,[status(thm)],[f_1582_4]) ).
fof(f_1583_1,plain,
? [A] :
( ! [B] :
( ( ( k1_funct_1(A,B) = f3_s1_finset_1(B)
| p1_s1_finset_1(B) )
& ( k1_funct_1(A,B) = f2_s1_finset_1(B)
| ~ p1_s1_finset_1(B) ) )
| ~ r2_hidden(B,f1_s1_finset_1)
| ~ v3_ordinal1(B) )
& k1_relat_1(A) = f1_s1_finset_1
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s1_finset_1]) ).
fof(f_1583_2,plain,
? [U_4434] :
( ! [U_4433] :
( ( ( k1_funct_1(U_4434,U_4433) = f3_s1_finset_1(U_4433)
| p1_s1_finset_1(U_4433) )
& ( k1_funct_1(U_4434,U_4433) = f2_s1_finset_1(U_4433)
| ~ p1_s1_finset_1(U_4433) ) )
| ~ r2_hidden(U_4433,f1_s1_finset_1)
| ~ v3_ordinal1(U_4433) )
& k1_relat_1(U_4434) = f1_s1_finset_1
& v1_funct_1(U_4434)
& v1_relat_1(U_4434) ),
inference(variable_rename,[status(thm)],[f_1583_1]) ).
fof(f_1583_3,plain,
( ! [U_4433] :
( ( ( k1_funct_1(sK500,U_4433) = f3_s1_finset_1(U_4433)
| p1_s1_finset_1(U_4433) )
& ( k1_funct_1(sK500,U_4433) = f2_s1_finset_1(U_4433)
| ~ p1_s1_finset_1(U_4433) ) )
| ~ r2_hidden(U_4433,f1_s1_finset_1)
| ~ v3_ordinal1(U_4433) )
& k1_relat_1(sK500) = f1_s1_finset_1
& v1_funct_1(sK500)
& v1_relat_1(sK500) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK500]),skolemize(U_4434,sK500)],[f_1583_2]) ).
fof(f_1583_4,plain,
( ! [U_4433] :
( k1_funct_1(sK500,U_4433) = f3_s1_finset_1(U_4433)
| p1_s1_finset_1(U_4433)
| ~ sP707(U_4433) )
& ! [U_4433] :
( k1_funct_1(sK500,U_4433) = f2_s1_finset_1(U_4433)
| ~ p1_s1_finset_1(U_4433)
| ~ sP707(U_4433) )
& ! [U_4433] :
( sP707(U_4433)
| ~ r2_hidden(U_4433,f1_s1_finset_1)
| ~ v3_ordinal1(U_4433) )
& k1_relat_1(sK500) = f1_s1_finset_1
& v1_funct_1(sK500)
& v1_relat_1(sK500) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP707])],[f_1583_3]) ).
cnf(f_1583_5,plain,
v1_relat_1(sK500),
inference(clausify,[status(thm)],[f_1583_4]) ).
cnf(f_1583_6,plain,
v1_funct_1(sK500),
inference(clausify,[status(thm)],[f_1583_4]) ).
cnf(f_1583_7,plain,
k1_relat_1(sK500) = f1_s1_finset_1,
inference(clausify,[status(thm)],[f_1583_4]) ).
cnf(f_1583_8,plain,
( sP707(U_4433)
| ~ r2_hidden(U_4433,f1_s1_finset_1)
| ~ v3_ordinal1(U_4433) ),
inference(clausify,[status(thm)],[f_1583_4]) ).
cnf(f_1583_9,plain,
( k1_funct_1(sK500,U_4433) = f2_s1_finset_1(U_4433)
| ~ p1_s1_finset_1(U_4433)
| ~ sP707(U_4433) ),
inference(clausify,[status(thm)],[f_1583_4]) ).
cnf(f_1583_10,plain,
( k1_funct_1(sK500,U_4433) = f3_s1_finset_1(U_4433)
| p1_s1_finset_1(U_4433)
| ~ sP707(U_4433) ),
inference(clausify,[status(thm)],[f_1583_4]) ).
fof(f_1584_1,plain,
( p1_s2_finset_1(f1_s2_finset_1)
| ? [A,B] :
( ~ p1_s2_finset_1(k2_xboole_0(B,k1_tarski(A)))
& p1_s2_finset_1(B)
& r1_tarski(B,f1_s2_finset_1)
& r2_hidden(A,f1_s2_finset_1) )
| ~ p1_s2_finset_1(k1_xboole_0)
| ~ v1_finset_1(f1_s2_finset_1) ),
inference(fof_nnf,[status(thm)],[s2_finset_1]) ).
fof(f_1584_2,plain,
( p1_s2_finset_1(f1_s2_finset_1)
| ? [U_4436,U_4435] :
( ~ p1_s2_finset_1(k2_xboole_0(U_4435,k1_tarski(U_4436)))
& p1_s2_finset_1(U_4435)
& r1_tarski(U_4435,f1_s2_finset_1)
& r2_hidden(U_4436,f1_s2_finset_1) )
| ~ p1_s2_finset_1(k1_xboole_0)
| ~ v1_finset_1(f1_s2_finset_1) ),
inference(variable_rename,[status(thm)],[f_1584_1]) ).
fof(f_1584_3,plain,
( p1_s2_finset_1(f1_s2_finset_1)
| ? [U_4435] :
( ~ p1_s2_finset_1(k2_xboole_0(U_4435,k1_tarski(sK501)))
& p1_s2_finset_1(U_4435)
& r1_tarski(U_4435,f1_s2_finset_1)
& r2_hidden(sK501,f1_s2_finset_1) )
| ~ p1_s2_finset_1(k1_xboole_0)
| ~ v1_finset_1(f1_s2_finset_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK501]),skolemize(U_4436,sK501)],[f_1584_2]) ).
fof(f_1584_4,plain,
( p1_s2_finset_1(f1_s2_finset_1)
| ( ~ p1_s2_finset_1(k2_xboole_0(sK502,k1_tarski(sK501)))
& p1_s2_finset_1(sK502)
& r1_tarski(sK502,f1_s2_finset_1)
& r2_hidden(sK501,f1_s2_finset_1) )
| ~ p1_s2_finset_1(k1_xboole_0)
| ~ v1_finset_1(f1_s2_finset_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK502]),skolemize(U_4435,sK502)],[f_1584_3]) ).
fof(f_1584_5,plain,
( ( ~ p1_s2_finset_1(k2_xboole_0(sK502,k1_tarski(sK501)))
| ~ sP708 )
& ( p1_s2_finset_1(sK502)
| ~ sP708 )
& ( r1_tarski(sK502,f1_s2_finset_1)
| ~ sP708 )
& ( r2_hidden(sK501,f1_s2_finset_1)
| ~ sP708 )
& ( p1_s2_finset_1(f1_s2_finset_1)
| sP708
| ~ p1_s2_finset_1(k1_xboole_0)
| ~ v1_finset_1(f1_s2_finset_1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP708])],[f_1584_4]) ).
cnf(f_1584_6,plain,
( p1_s2_finset_1(f1_s2_finset_1)
| sP708
| ~ p1_s2_finset_1(k1_xboole_0)
| ~ v1_finset_1(f1_s2_finset_1) ),
inference(clausify,[status(thm)],[f_1584_5]) ).
cnf(f_1584_7,plain,
( r2_hidden(sK501,f1_s2_finset_1)
| ~ sP708 ),
inference(clausify,[status(thm)],[f_1584_5]) ).
cnf(f_1584_8,plain,
( r1_tarski(sK502,f1_s2_finset_1)
| ~ sP708 ),
inference(clausify,[status(thm)],[f_1584_5]) ).
cnf(f_1584_9,plain,
( p1_s2_finset_1(sK502)
| ~ sP708 ),
inference(clausify,[status(thm)],[f_1584_5]) ).
cnf(f_1584_10,plain,
( ~ p1_s2_finset_1(k2_xboole_0(sK502,k1_tarski(sK501)))
| ~ sP708 ),
inference(clausify,[status(thm)],[f_1584_5]) ).
fof(f_1585_1,plain,
? [A] :
( v1_fraenkel(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_fraenkel]) ).
fof(f_1585_2,plain,
? [U_4437] :
( v1_fraenkel(U_4437)
& ~ v1_xboole_0(U_4437) ),
inference(variable_rename,[status(thm)],[f_1585_1]) ).
fof(f_1585_3,plain,
( v1_fraenkel(sK503)
& ~ v1_xboole_0(sK503) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK503]),skolemize(U_4437,sK503)],[f_1585_2]) ).
fof(f_1585_4,plain,
( v1_fraenkel(sK503)
& ~ v1_xboole_0(sK503) ),
inference(definitional_conversion,[status(esa)],[f_1585_3]) ).
cnf(f_1585_5,plain,
~ v1_xboole_0(sK503),
inference(clausify,[status(thm)],[f_1585_4]) ).
cnf(f_1585_6,plain,
v1_fraenkel(sK503),
inference(clausify,[status(thm)],[f_1585_4]) ).
fof(f_1586_1,plain,
! [A] :
( ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
| ~ m1_subset_1(B,A) )
| ~ v1_fraenkel(A) ),
inference(fof_nnf,[status(thm)],[cc1_fraenkel]) ).
fof(f_1586_2,plain,
! [U_4439] :
( ! [U_4438] :
( ( v1_funct_1(U_4438)
& v1_relat_1(U_4438) )
| ~ m1_subset_1(U_4438,U_4439) )
| ~ v1_fraenkel(U_4439) ),
inference(variable_rename,[status(thm)],[f_1586_1]) ).
fof(f_1586_3,plain,
( ! [U_4438] :
( v1_funct_1(U_4438)
| ~ sP709(U_4438) )
& ! [U_4438] :
( v1_relat_1(U_4438)
| ~ sP709(U_4438) )
& ! [U_4438,U_4439] :
( sP709(U_4438)
| ~ m1_subset_1(U_4438,U_4439)
| ~ v1_fraenkel(U_4439) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP709])],[f_1586_2]) ).
cnf(f_1586_4,plain,
( sP709(U_4438)
| ~ m1_subset_1(U_4438,U_4439)
| ~ v1_fraenkel(U_4439) ),
inference(clausify,[status(thm)],[f_1586_3]) ).
cnf(f_1586_5,plain,
( v1_relat_1(U_4438)
| ~ sP709(U_4438) ),
inference(clausify,[status(thm)],[f_1586_3]) ).
cnf(f_1586_6,plain,
( v1_funct_1(U_4438)
| ~ sP709(U_4438) ),
inference(clausify,[status(thm)],[f_1586_3]) ).
fof(f_1587_1,plain,
! [A,B] : v1_fraenkel(k1_funct_2(A,B)),
inference(fof_nnf,[status(thm)],[fc1_fraenkel]) ).
fof(f_1587_2,plain,
! [U_4441,U_4440] : v1_fraenkel(k1_funct_2(U_4441,U_4440)),
inference(variable_rename,[status(thm)],[f_1587_1]) ).
fof(f_1587_3,plain,
! [U_4441,U_4440] : v1_fraenkel(k1_funct_2(U_4441,U_4440)),
inference(definitional_conversion,[status(esa)],[f_1587_2]) ).
cnf(f_1587_4,plain,
v1_fraenkel(k1_funct_2(U_4441,U_4440)),
inference(clausify,[status(thm)],[f_1587_3]) ).
fof(f_1588_1,plain,
! [A,B] :
( ( v1_fraenkel(k1_funct_2(A,B))
& v1_finset_1(k1_funct_2(A,B)) )
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc2_fraenkel]) ).
fof(f_1588_2,plain,
! [U_4443,U_4442] :
( ( v1_fraenkel(k1_funct_2(U_4443,U_4442))
& v1_finset_1(k1_funct_2(U_4443,U_4442)) )
| ~ v1_finset_1(U_4442)
| ~ v1_finset_1(U_4443) ),
inference(variable_rename,[status(thm)],[f_1588_1]) ).
fof(f_1588_3,plain,
( ! [U_4442,U_4443] :
( v1_fraenkel(k1_funct_2(U_4443,U_4442))
| ~ sP710(U_4442,U_4443) )
& ! [U_4442,U_4443] :
( v1_finset_1(k1_funct_2(U_4443,U_4442))
| ~ sP710(U_4442,U_4443) )
& ! [U_4442,U_4443] :
( sP710(U_4442,U_4443)
| ~ v1_finset_1(U_4442)
| ~ v1_finset_1(U_4443) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP710])],[f_1588_2]) ).
cnf(f_1588_4,plain,
( sP710(U_4442,U_4443)
| ~ v1_finset_1(U_4442)
| ~ v1_finset_1(U_4443) ),
inference(clausify,[status(thm)],[f_1588_3]) ).
cnf(f_1588_5,plain,
( v1_finset_1(k1_funct_2(U_4443,U_4442))
| ~ sP710(U_4442,U_4443) ),
inference(clausify,[status(thm)],[f_1588_3]) ).
cnf(f_1588_6,plain,
( v1_fraenkel(k1_funct_2(U_4443,U_4442))
| ~ sP710(U_4442,U_4443) ),
inference(clausify,[status(thm)],[f_1588_3]) ).
fof(f_1589_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_fraenkel]) ).
fof(f_1589_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1589_1]) ).
cnf(f_1589_3,plain,
$true,
inference(clausify,[status(thm)],[f_1589_2]) ).
fof(f_1590_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_fraenkel]) ).
fof(f_1590_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1590_1]) ).
cnf(f_1590_3,plain,
$true,
inference(clausify,[status(thm)],[f_1590_2]) ).
fof(f_1591_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k8_funct_2(A,B,C,F) = k8_funct_2(A,B,D,F)
| ~ r2_hidden(F,E)
| ~ m1_subset_1(F,A) )
| k7_relat_1(C,E) != k7_relat_1(D,E) )
| ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) )
| v1_xboole_0(B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t3_fraenkel]) ).
fof(f_1591_2,plain,
! [U_4449] :
( ! [U_4448] :
( ! [U_4447] :
( ! [U_4446] :
( ! [U_4445] :
( ! [U_4444] :
( k8_funct_2(U_4449,U_4448,U_4447,U_4444) = k8_funct_2(U_4449,U_4448,U_4446,U_4444)
| ~ r2_hidden(U_4444,U_4445)
| ~ m1_subset_1(U_4444,U_4449) )
| k7_relat_1(U_4447,U_4445) != k7_relat_1(U_4446,U_4445) )
| ~ m2_relset_1(U_4446,U_4449,U_4448)
| ~ v1_funct_2(U_4446,U_4449,U_4448)
| ~ v1_funct_1(U_4446) )
| ~ m2_relset_1(U_4447,U_4449,U_4448)
| ~ v1_funct_2(U_4447,U_4449,U_4448)
| ~ v1_funct_1(U_4447) )
| v1_xboole_0(U_4448) )
| v1_xboole_0(U_4449) ),
inference(variable_rename,[status(thm)],[f_1591_1]) ).
fof(f_1591_3,plain,
! [U_4445,U_4448,U_4449,U_4447,U_4444,U_4446] :
( k8_funct_2(U_4449,U_4448,U_4447,U_4444) = k8_funct_2(U_4449,U_4448,U_4446,U_4444)
| ~ r2_hidden(U_4444,U_4445)
| ~ m1_subset_1(U_4444,U_4449)
| k7_relat_1(U_4447,U_4445) != k7_relat_1(U_4446,U_4445)
| ~ m2_relset_1(U_4446,U_4449,U_4448)
| ~ v1_funct_2(U_4446,U_4449,U_4448)
| ~ v1_funct_1(U_4446)
| ~ m2_relset_1(U_4447,U_4449,U_4448)
| ~ v1_funct_2(U_4447,U_4449,U_4448)
| ~ v1_funct_1(U_4447)
| v1_xboole_0(U_4448)
| v1_xboole_0(U_4449) ),
inference(definitional_conversion,[status(esa)],[f_1591_2]) ).
cnf(f_1591_4,plain,
( k8_funct_2(U_4449,U_4448,U_4447,U_4444) = k8_funct_2(U_4449,U_4448,U_4446,U_4444)
| ~ r2_hidden(U_4444,U_4445)
| ~ m1_subset_1(U_4444,U_4449)
| k7_relat_1(U_4447,U_4445) != k7_relat_1(U_4446,U_4445)
| ~ m2_relset_1(U_4446,U_4449,U_4448)
| ~ v1_funct_2(U_4446,U_4449,U_4448)
| ~ v1_funct_1(U_4446)
| ~ m2_relset_1(U_4447,U_4449,U_4448)
| ~ v1_funct_2(U_4447,U_4449,U_4448)
| ~ v1_funct_1(U_4447)
| v1_xboole_0(U_4448)
| v1_xboole_0(U_4449) ),
inference(clausify,[status(thm)],[f_1591_3]) ).
fof(f_1592_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_fraenkel]) ).
fof(f_1592_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1592_1]) ).
cnf(f_1592_3,plain,
$true,
inference(clausify,[status(thm)],[f_1592_2]) ).
fof(f_1593_1,plain,
! [A,B] : r1_tarski(k1_funct_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))),
inference(fof_nnf,[status(thm)],[t5_fraenkel]) ).
fof(f_1593_2,plain,
! [U_4451,U_4450] : r1_tarski(k1_funct_2(U_4451,U_4450),k1_zfmisc_1(k2_zfmisc_1(U_4451,U_4450))),
inference(variable_rename,[status(thm)],[f_1593_1]) ).
fof(f_1593_3,plain,
! [U_4451,U_4450] : r1_tarski(k1_funct_2(U_4451,U_4450),k1_zfmisc_1(k2_zfmisc_1(U_4451,U_4450))),
inference(definitional_conversion,[status(esa)],[f_1593_2]) ).
cnf(f_1593_4,plain,
r1_tarski(k1_funct_2(U_4451,U_4450),k1_zfmisc_1(k2_zfmisc_1(U_4451,U_4450))),
inference(clausify,[status(thm)],[f_1593_3]) ).
fof(f_1594_1,plain,
! [A] :
( ! [B,C,D] :
( ! [E] :
( ( m2_relset_1(E,B,A)
& v1_funct_1(E) )
| ~ m1_subset_1(E,k1_funct_2(C,D)) )
| k1_funct_2(C,D) = k1_xboole_0
| ~ r1_tarski(D,A)
| ~ r1_tarski(C,B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_fraenkel]) ).
fof(f_1594_2,plain,
! [U_4456] :
( ! [U_4455,U_4454,U_4453] :
( ! [U_4452] :
( ( m2_relset_1(U_4452,U_4455,U_4456)
& v1_funct_1(U_4452) )
| ~ m1_subset_1(U_4452,k1_funct_2(U_4454,U_4453)) )
| k1_funct_2(U_4454,U_4453) = k1_xboole_0
| ~ r1_tarski(U_4453,U_4456)
| ~ r1_tarski(U_4454,U_4455) )
| v1_xboole_0(U_4456) ),
inference(variable_rename,[status(thm)],[f_1594_1]) ).
fof(f_1594_3,plain,
( ! [U_4456,U_4455,U_4452] :
( m2_relset_1(U_4452,U_4455,U_4456)
| ~ sP711(U_4456,U_4455,U_4452) )
& ! [U_4456,U_4455,U_4452] :
( v1_funct_1(U_4452)
| ~ sP711(U_4456,U_4455,U_4452) )
& ! [U_4454,U_4456,U_4455,U_4452,U_4453] :
( sP711(U_4456,U_4455,U_4452)
| ~ m1_subset_1(U_4452,k1_funct_2(U_4454,U_4453))
| k1_funct_2(U_4454,U_4453) = k1_xboole_0
| ~ r1_tarski(U_4453,U_4456)
| ~ r1_tarski(U_4454,U_4455)
| v1_xboole_0(U_4456) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP711])],[f_1594_2]) ).
cnf(f_1594_4,plain,
( sP711(U_4456,U_4455,U_4452)
| ~ m1_subset_1(U_4452,k1_funct_2(U_4454,U_4453))
| k1_funct_2(U_4454,U_4453) = k1_xboole_0
| ~ r1_tarski(U_4453,U_4456)
| ~ r1_tarski(U_4454,U_4455)
| v1_xboole_0(U_4456) ),
inference(clausify,[status(thm)],[f_1594_3]) ).
cnf(f_1594_5,plain,
( v1_funct_1(U_4452)
| ~ sP711(U_4456,U_4455,U_4452) ),
inference(clausify,[status(thm)],[f_1594_3]) ).
cnf(f_1594_6,plain,
( m2_relset_1(U_4452,U_4455,U_4456)
| ~ sP711(U_4456,U_4455,U_4452) ),
inference(clausify,[status(thm)],[f_1594_3]) ).
fof(f_1595_1,plain,
! [A] :
( ( v1_fraenkel(A)
| ? [B] :
( ( ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
& r2_hidden(B,A) ) )
& ( ! [B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
| ~ r2_hidden(B,A) )
| ~ v1_fraenkel(A) ) ),
inference(fof_nnf,[status(thm)],[d1_fraenkel]) ).
fof(f_1595_2,plain,
! [U_4459] :
( ( v1_fraenkel(U_4459)
| ? [U_4458] :
( ( ~ v1_funct_1(U_4458)
| ~ v1_relat_1(U_4458) )
& r2_hidden(U_4458,U_4459) ) )
& ( ! [U_4457] :
( ( v1_funct_1(U_4457)
& v1_relat_1(U_4457) )
| ~ r2_hidden(U_4457,U_4459) )
| ~ v1_fraenkel(U_4459) ) ),
inference(variable_rename,[status(thm)],[f_1595_1]) ).
fof(f_1595_3,plain,
( ! [U_4461] :
( v1_fraenkel(U_4461)
| ? [U_4458] :
( ( ~ v1_funct_1(U_4458)
| ~ v1_relat_1(U_4458) )
& r2_hidden(U_4458,U_4461) ) )
& ! [U_4460] :
( ! [U_4457] :
( ( v1_funct_1(U_4457)
& v1_relat_1(U_4457) )
| ~ r2_hidden(U_4457,U_4460) )
| ~ v1_fraenkel(U_4460) ) ),
inference(miniscope,[status(thm)],[f_1595_2]) ).
fof(f_1595_4,plain,
( ! [U_4461] :
( v1_fraenkel(U_4461)
| ( ( ~ v1_funct_1(sK504(U_4461))
| ~ v1_relat_1(sK504(U_4461)) )
& r2_hidden(sK504(U_4461),U_4461) ) )
& ! [U_4460] :
( ! [U_4457] :
( ( v1_funct_1(U_4457)
& v1_relat_1(U_4457) )
| ~ r2_hidden(U_4457,U_4460) )
| ~ v1_fraenkel(U_4460) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK504]),skolemize(U_4458,sK504(U_4461))],[f_1595_3]) ).
fof(f_1595_5,plain,
( ! [U_4461] :
( ~ v1_funct_1(sK504(U_4461))
| ~ v1_relat_1(sK504(U_4461))
| ~ sP713(U_4461) )
& ! [U_4461] :
( r2_hidden(sK504(U_4461),U_4461)
| ~ sP713(U_4461) )
& ! [U_4457] :
( v1_funct_1(U_4457)
| ~ sP712(U_4457) )
& ! [U_4457] :
( v1_relat_1(U_4457)
| ~ sP712(U_4457) )
& ! [U_4461] :
( v1_fraenkel(U_4461)
| sP713(U_4461) )
& ! [U_4457,U_4460] :
( sP712(U_4457)
| ~ r2_hidden(U_4457,U_4460)
| ~ v1_fraenkel(U_4460) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP712,sP713])],[f_1595_4]) ).
cnf(f_1595_6,plain,
( sP712(U_4457)
| ~ r2_hidden(U_4457,U_4460)
| ~ v1_fraenkel(U_4460) ),
inference(clausify,[status(thm)],[f_1595_5]) ).
cnf(f_1595_7,plain,
( v1_fraenkel(U_4461)
| sP713(U_4461) ),
inference(clausify,[status(thm)],[f_1595_5]) ).
cnf(f_1595_8,plain,
( v1_relat_1(U_4457)
| ~ sP712(U_4457) ),
inference(clausify,[status(thm)],[f_1595_5]) ).
cnf(f_1595_9,plain,
( v1_funct_1(U_4457)
| ~ sP712(U_4457) ),
inference(clausify,[status(thm)],[f_1595_5]) ).
cnf(f_1595_10,plain,
( r2_hidden(sK504(U_4461),U_4461)
| ~ sP713(U_4461) ),
inference(clausify,[status(thm)],[f_1595_5]) ).
cnf(f_1595_11,plain,
( ~ v1_funct_1(sK504(U_4461))
| ~ v1_relat_1(sK504(U_4461))
| ~ sP713(U_4461) ),
inference(clausify,[status(thm)],[f_1595_5]) ).
fof(f_1596_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_fraenkel]) ).
fof(f_1596_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1596_1]) ).
cnf(f_1596_3,plain,
$true,
inference(clausify,[status(thm)],[f_1596_2]) ).
fof(f_1597_1,plain,
! [A] :
( v1_fraenkel(k1_tarski(A))
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t8_fraenkel]) ).
fof(f_1597_2,plain,
! [U_4462] :
( v1_fraenkel(k1_tarski(U_4462))
| ~ v1_funct_1(U_4462)
| ~ v1_relat_1(U_4462) ),
inference(variable_rename,[status(thm)],[f_1597_1]) ).
fof(f_1597_3,plain,
! [U_4462] :
( v1_fraenkel(k1_tarski(U_4462))
| ~ v1_funct_1(U_4462)
| ~ v1_relat_1(U_4462) ),
inference(definitional_conversion,[status(esa)],[f_1597_2]) ).
cnf(f_1597_4,plain,
( v1_fraenkel(k1_tarski(U_4462))
| ~ v1_funct_1(U_4462)
| ~ v1_relat_1(U_4462) ),
inference(clausify,[status(thm)],[f_1597_3]) ).
fof(f_1598_1,plain,
! [A,B,C] :
( ( ( m1_fraenkel(C,A,B)
| ? [D] :
( ( ~ m2_relset_1(D,A,B)
| ~ v1_funct_2(D,A,B)
| ~ v1_funct_1(D) )
& m1_subset_1(D,C) ) )
& ( ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
| ~ m1_subset_1(D,C) )
| ~ m1_fraenkel(C,A,B) ) )
| ~ v1_fraenkel(C)
| v1_xboole_0(C) ),
inference(fof_nnf,[status(thm)],[d2_fraenkel]) ).
fof(f_1598_2,plain,
! [U_4467,U_4466,U_4465] :
( ( ( m1_fraenkel(U_4465,U_4467,U_4466)
| ? [U_4464] :
( ( ~ m2_relset_1(U_4464,U_4467,U_4466)
| ~ v1_funct_2(U_4464,U_4467,U_4466)
| ~ v1_funct_1(U_4464) )
& m1_subset_1(U_4464,U_4465) ) )
& ( ! [U_4463] :
( ( m2_relset_1(U_4463,U_4467,U_4466)
& v1_funct_2(U_4463,U_4467,U_4466)
& v1_funct_1(U_4463) )
| ~ m1_subset_1(U_4463,U_4465) )
| ~ m1_fraenkel(U_4465,U_4467,U_4466) ) )
| ~ v1_fraenkel(U_4465)
| v1_xboole_0(U_4465) ),
inference(variable_rename,[status(thm)],[f_1598_1]) ).
fof(f_1598_3,plain,
! [U_4467,U_4466,U_4465] :
( ( ( m1_fraenkel(U_4465,U_4467,U_4466)
| ( ( ~ m2_relset_1(sK505(U_4467,U_4466,U_4465),U_4467,U_4466)
| ~ v1_funct_2(sK505(U_4467,U_4466,U_4465),U_4467,U_4466)
| ~ v1_funct_1(sK505(U_4467,U_4466,U_4465)) )
& m1_subset_1(sK505(U_4467,U_4466,U_4465),U_4465) ) )
& ( ! [U_4463] :
( ( m2_relset_1(U_4463,U_4467,U_4466)
& v1_funct_2(U_4463,U_4467,U_4466)
& v1_funct_1(U_4463) )
| ~ m1_subset_1(U_4463,U_4465) )
| ~ m1_fraenkel(U_4465,U_4467,U_4466) ) )
| ~ v1_fraenkel(U_4465)
| v1_xboole_0(U_4465) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK505]),skolemize(U_4464,sK505(U_4467,U_4466,U_4465))],[f_1598_2]) ).
fof(f_1598_4,plain,
( ! [U_4465,U_4466,U_4467] :
( ~ m2_relset_1(sK505(U_4467,U_4466,U_4465),U_4467,U_4466)
| ~ v1_funct_2(sK505(U_4467,U_4466,U_4465),U_4467,U_4466)
| ~ v1_funct_1(sK505(U_4467,U_4466,U_4465))
| ~ sP715(U_4465,U_4466,U_4467) )
& ! [U_4465,U_4466,U_4467] :
( m1_subset_1(sK505(U_4467,U_4466,U_4465),U_4465)
| ~ sP715(U_4465,U_4466,U_4467) )
& ! [U_4463,U_4466,U_4467] :
( m2_relset_1(U_4463,U_4467,U_4466)
| ~ sP714(U_4463,U_4466,U_4467) )
& ! [U_4463,U_4466,U_4467] :
( v1_funct_2(U_4463,U_4467,U_4466)
| ~ sP714(U_4463,U_4466,U_4467) )
& ! [U_4463,U_4466,U_4467] :
( v1_funct_1(U_4463)
| ~ sP714(U_4463,U_4466,U_4467) )
& ! [U_4465,U_4463,U_4466,U_4467] :
( m1_fraenkel(U_4465,U_4467,U_4466)
| sP715(U_4465,U_4466,U_4467)
| ~ sP716(U_4465,U_4463,U_4466,U_4467) )
& ! [U_4465,U_4463,U_4466,U_4467] :
( sP714(U_4463,U_4466,U_4467)
| ~ m1_subset_1(U_4463,U_4465)
| ~ m1_fraenkel(U_4465,U_4467,U_4466)
| ~ sP716(U_4465,U_4463,U_4466,U_4467) )
& ! [U_4465,U_4463,U_4466,U_4467] :
( sP716(U_4465,U_4463,U_4466,U_4467)
| ~ v1_fraenkel(U_4465)
| v1_xboole_0(U_4465) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP714,sP715,sP716])],[f_1598_3]) ).
cnf(f_1598_5,plain,
( sP716(U_4465,U_4463,U_4466,U_4467)
| ~ v1_fraenkel(U_4465)
| v1_xboole_0(U_4465) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_6,plain,
( sP714(U_4463,U_4466,U_4467)
| ~ m1_subset_1(U_4463,U_4465)
| ~ m1_fraenkel(U_4465,U_4467,U_4466)
| ~ sP716(U_4465,U_4463,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_7,plain,
( m1_fraenkel(U_4465,U_4467,U_4466)
| sP715(U_4465,U_4466,U_4467)
| ~ sP716(U_4465,U_4463,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_8,plain,
( v1_funct_1(U_4463)
| ~ sP714(U_4463,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_9,plain,
( v1_funct_2(U_4463,U_4467,U_4466)
| ~ sP714(U_4463,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_10,plain,
( m2_relset_1(U_4463,U_4467,U_4466)
| ~ sP714(U_4463,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_11,plain,
( m1_subset_1(sK505(U_4467,U_4466,U_4465),U_4465)
| ~ sP715(U_4465,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
cnf(f_1598_12,plain,
( ~ m2_relset_1(sK505(U_4467,U_4466,U_4465),U_4467,U_4466)
| ~ v1_funct_2(sK505(U_4467,U_4466,U_4465),U_4467,U_4466)
| ~ v1_funct_1(sK505(U_4467,U_4466,U_4465))
| ~ sP715(U_4465,U_4466,U_4467) ),
inference(clausify,[status(thm)],[f_1598_4]) ).
fof(f_1599_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_fraenkel]) ).
fof(f_1599_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1599_1]) ).
cnf(f_1599_3,plain,
$true,
inference(clausify,[status(thm)],[f_1599_2]) ).
fof(f_1600_1,plain,
! [A,B,C] :
( m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(A,B)),C),A,B)
| ~ m2_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[t10_fraenkel]) ).
fof(f_1600_2,plain,
! [U_4470,U_4469,U_4468] :
( m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(U_4470,U_4469)),U_4468),U_4470,U_4469)
| ~ m2_relset_1(U_4468,U_4470,U_4469)
| ~ v1_funct_2(U_4468,U_4470,U_4469)
| ~ v1_funct_1(U_4468) ),
inference(variable_rename,[status(thm)],[f_1600_1]) ).
fof(f_1600_3,plain,
! [U_4470,U_4469,U_4468] :
( m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(U_4470,U_4469)),U_4468),U_4470,U_4469)
| ~ m2_relset_1(U_4468,U_4470,U_4469)
| ~ v1_funct_2(U_4468,U_4470,U_4469)
| ~ v1_funct_1(U_4468) ),
inference(definitional_conversion,[status(esa)],[f_1600_2]) ).
cnf(f_1600_4,plain,
( m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(U_4470,U_4469)),U_4468),U_4470,U_4469)
| ~ m2_relset_1(U_4468,U_4470,U_4469)
| ~ v1_funct_2(U_4468,U_4470,U_4469)
| ~ v1_funct_1(U_4468) ),
inference(clausify,[status(thm)],[f_1600_3]) ).
fof(f_1601_1,plain,
! [A] :
( ! [B] : m1_fraenkel(k1_funct_2(B,A),B,A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t11_fraenkel]) ).
fof(f_1601_2,plain,
! [U_4472] :
( ! [U_4471] : m1_fraenkel(k1_funct_2(U_4471,U_4472),U_4471,U_4472)
| v1_xboole_0(U_4472) ),
inference(variable_rename,[status(thm)],[f_1601_1]) ).
fof(f_1601_3,plain,
! [U_4472,U_4471] :
( m1_fraenkel(k1_funct_2(U_4471,U_4472),U_4471,U_4472)
| v1_xboole_0(U_4472) ),
inference(definitional_conversion,[status(esa)],[f_1601_2]) ).
cnf(f_1601_4,plain,
( m1_fraenkel(k1_funct_2(U_4471,U_4472),U_4471,U_4472)
| v1_xboole_0(U_4472) ),
inference(clausify,[status(thm)],[f_1601_3]) ).
fof(f_1602_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_fraenkel]) ).
fof(f_1602_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1602_1]) ).
cnf(f_1602_3,plain,
$true,
inference(clausify,[status(thm)],[f_1602_2]) ).
fof(f_1603_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_fraenkel]) ).
fof(f_1603_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1603_1]) ).
cnf(f_1603_3,plain,
$true,
inference(clausify,[status(thm)],[f_1603_2]) ).
fof(f_1604_1,plain,
! [A] :
( ! [B,C,D] :
( ! [E] :
( ? [F] :
( k7_relat_1(F,C) = E
& m2_fraenkel(F,B,A,k1_fraenkel(B,A)) )
| ~ m1_subset_1(E,k1_funct_2(C,D)) )
| k1_funct_2(C,D) = k1_xboole_0
| ~ r1_tarski(D,A)
| ~ r1_tarski(C,B) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t14_fraenkel]) ).
fof(f_1604_2,plain,
! [U_4478] :
( ! [U_4477,U_4476,U_4475] :
( ! [U_4474] :
( ? [U_4473] :
( k7_relat_1(U_4473,U_4476) = U_4474
& m2_fraenkel(U_4473,U_4477,U_4478,k1_fraenkel(U_4477,U_4478)) )
| ~ m1_subset_1(U_4474,k1_funct_2(U_4476,U_4475)) )
| k1_funct_2(U_4476,U_4475) = k1_xboole_0
| ~ r1_tarski(U_4475,U_4478)
| ~ r1_tarski(U_4476,U_4477) )
| v1_xboole_0(U_4478) ),
inference(variable_rename,[status(thm)],[f_1604_1]) ).
fof(f_1604_3,plain,
! [U_4478] :
( ! [U_4477,U_4476,U_4475] :
( ! [U_4474] :
( ( k7_relat_1(sK506(U_4478,U_4477,U_4476,U_4475,U_4474),U_4476) = U_4474
& m2_fraenkel(sK506(U_4478,U_4477,U_4476,U_4475,U_4474),U_4477,U_4478,k1_fraenkel(U_4477,U_4478)) )
| ~ m1_subset_1(U_4474,k1_funct_2(U_4476,U_4475)) )
| k1_funct_2(U_4476,U_4475) = k1_xboole_0
| ~ r1_tarski(U_4475,U_4478)
| ~ r1_tarski(U_4476,U_4477) )
| v1_xboole_0(U_4478) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK506]),skolemize(U_4473,sK506(U_4478,U_4477,U_4476,U_4475,U_4474))],[f_1604_2]) ).
fof(f_1604_4,plain,
( ! [U_4476,U_4474,U_4475,U_4478,U_4477] :
( k7_relat_1(sK506(U_4478,U_4477,U_4476,U_4475,U_4474),U_4476) = U_4474
| ~ sP717(U_4476,U_4474,U_4475,U_4478,U_4477) )
& ! [U_4476,U_4474,U_4475,U_4478,U_4477] :
( m2_fraenkel(sK506(U_4478,U_4477,U_4476,U_4475,U_4474),U_4477,U_4478,k1_fraenkel(U_4477,U_4478))
| ~ sP717(U_4476,U_4474,U_4475,U_4478,U_4477) )
& ! [U_4476,U_4474,U_4475,U_4478,U_4477] :
( sP717(U_4476,U_4474,U_4475,U_4478,U_4477)
| ~ m1_subset_1(U_4474,k1_funct_2(U_4476,U_4475))
| k1_funct_2(U_4476,U_4475) = k1_xboole_0
| ~ r1_tarski(U_4475,U_4478)
| ~ r1_tarski(U_4476,U_4477)
| v1_xboole_0(U_4478) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP717])],[f_1604_3]) ).
cnf(f_1604_5,plain,
( sP717(U_4476,U_4474,U_4475,U_4478,U_4477)
| ~ m1_subset_1(U_4474,k1_funct_2(U_4476,U_4475))
| k1_funct_2(U_4476,U_4475) = k1_xboole_0
| ~ r1_tarski(U_4475,U_4478)
| ~ r1_tarski(U_4476,U_4477)
| v1_xboole_0(U_4478) ),
inference(clausify,[status(thm)],[f_1604_4]) ).
cnf(f_1604_6,plain,
( m2_fraenkel(sK506(U_4478,U_4477,U_4476,U_4475,U_4474),U_4477,U_4478,k1_fraenkel(U_4477,U_4478))
| ~ sP717(U_4476,U_4474,U_4475,U_4478,U_4477) ),
inference(clausify,[status(thm)],[f_1604_4]) ).
cnf(f_1604_7,plain,
( k7_relat_1(sK506(U_4478,U_4477,U_4476,U_4475,U_4474),U_4476) = U_4474
| ~ sP717(U_4476,U_4474,U_4475,U_4478,U_4477) ),
inference(clausify,[status(thm)],[f_1604_4]) ).
fof(f_1605_1,plain,
! [A] :
( ! [B,C,D] :
( k7_relat_1(D,C) = k7_relat_1(D,k3_xboole_0(B,C))
| ~ m2_fraenkel(D,B,A,k1_fraenkel(B,A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t15_fraenkel]) ).
fof(f_1605_2,plain,
! [U_4482] :
( ! [U_4481,U_4480,U_4479] :
( k7_relat_1(U_4479,U_4480) = k7_relat_1(U_4479,k3_xboole_0(U_4481,U_4480))
| ~ m2_fraenkel(U_4479,U_4481,U_4482,k1_fraenkel(U_4481,U_4482)) )
| v1_xboole_0(U_4482) ),
inference(variable_rename,[status(thm)],[f_1605_1]) ).
fof(f_1605_3,plain,
! [U_4479,U_4482,U_4481,U_4480] :
( k7_relat_1(U_4479,U_4480) = k7_relat_1(U_4479,k3_xboole_0(U_4481,U_4480))
| ~ m2_fraenkel(U_4479,U_4481,U_4482,k1_fraenkel(U_4481,U_4482))
| v1_xboole_0(U_4482) ),
inference(definitional_conversion,[status(esa)],[f_1605_2]) ).
cnf(f_1605_4,plain,
( k7_relat_1(U_4479,U_4480) = k7_relat_1(U_4479,k3_xboole_0(U_4481,U_4480))
| ~ m2_fraenkel(U_4479,U_4481,U_4482,k1_fraenkel(U_4481,U_4482))
| v1_xboole_0(U_4482) ),
inference(clausify,[status(thm)],[f_1605_3]) ).
fof(f_1606_1,plain,
! [A,B] :
( v1_finset_1(k1_funct_2(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t16_fraenkel]) ).
fof(f_1606_2,plain,
! [U_4484,U_4483] :
( v1_finset_1(k1_funct_2(U_4484,U_4483))
| ~ v1_finset_1(U_4483)
| ~ v1_finset_1(U_4484) ),
inference(variable_rename,[status(thm)],[f_1606_1]) ).
fof(f_1606_3,plain,
! [U_4483,U_4484] :
( v1_finset_1(k1_funct_2(U_4484,U_4483))
| ~ v1_finset_1(U_4483)
| ~ v1_finset_1(U_4484) ),
inference(definitional_conversion,[status(esa)],[f_1606_2]) ).
cnf(f_1606_4,plain,
( v1_finset_1(k1_funct_2(U_4484,U_4483))
| ~ v1_finset_1(U_4483)
| ~ v1_finset_1(U_4484) ),
inference(clausify,[status(thm)],[f_1606_3]) ).
fof(f_1607_1,plain,
! [A] :
( ! [B] :
( v1_fraenkel(B)
| ~ r1_tarski(B,A) )
| ~ v1_fraenkel(A) ),
inference(fof_nnf,[status(thm)],[t17_fraenkel]) ).
fof(f_1607_2,plain,
! [U_4486] :
( ! [U_4485] :
( v1_fraenkel(U_4485)
| ~ r1_tarski(U_4485,U_4486) )
| ~ v1_fraenkel(U_4486) ),
inference(variable_rename,[status(thm)],[f_1607_1]) ).
fof(f_1607_3,plain,
! [U_4486,U_4485] :
( v1_fraenkel(U_4485)
| ~ r1_tarski(U_4485,U_4486)
| ~ v1_fraenkel(U_4486) ),
inference(definitional_conversion,[status(esa)],[f_1607_2]) ).
cnf(f_1607_4,plain,
( v1_fraenkel(U_4485)
| ~ r1_tarski(U_4485,U_4486)
| ~ v1_fraenkel(U_4486) ),
inference(clausify,[status(thm)],[f_1607_3]) ).
fof(f_1608_1,plain,
( ! [A] :
( ? [B] :
( ! [C] :
( p1_s23_fraenkel(B,C)
| ~ p1_s23_fraenkel(C,B)
| ~ r2_hidden(C,f2_s23_fraenkel)
| ~ m1_subset_1(C,f1_s23_fraenkel) )
& p1_s23_fraenkel(B,A)
& r2_hidden(B,f2_s23_fraenkel)
& m1_subset_1(B,f1_s23_fraenkel) )
| ~ r2_hidden(A,f2_s23_fraenkel)
| ~ m1_subset_1(A,f1_s23_fraenkel) )
| ? [A] :
( ? [B] :
( ? [C] :
( ~ p1_s23_fraenkel(A,C)
& p1_s23_fraenkel(B,C)
& p1_s23_fraenkel(A,B)
& m1_subset_1(C,f1_s23_fraenkel) )
& m1_subset_1(B,f1_s23_fraenkel) )
& m1_subset_1(A,f1_s23_fraenkel) )
| ? [A] :
( ~ p1_s23_fraenkel(A,A)
& m1_subset_1(A,f1_s23_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s23_fraenkel]) ).
fof(f_1608_2,plain,
( ! [U_4493] :
( ? [U_4492] :
( ! [U_4491] :
( p1_s23_fraenkel(U_4492,U_4491)
| ~ p1_s23_fraenkel(U_4491,U_4492)
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel) )
& p1_s23_fraenkel(U_4492,U_4493)
& r2_hidden(U_4492,f2_s23_fraenkel)
& m1_subset_1(U_4492,f1_s23_fraenkel) )
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel) )
| ? [U_4490] :
( ? [U_4489] :
( ? [U_4488] :
( ~ p1_s23_fraenkel(U_4490,U_4488)
& p1_s23_fraenkel(U_4489,U_4488)
& p1_s23_fraenkel(U_4490,U_4489)
& m1_subset_1(U_4488,f1_s23_fraenkel) )
& m1_subset_1(U_4489,f1_s23_fraenkel) )
& m1_subset_1(U_4490,f1_s23_fraenkel) )
| ? [U_4487] :
( ~ p1_s23_fraenkel(U_4487,U_4487)
& m1_subset_1(U_4487,f1_s23_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1608_1]) ).
fof(f_1608_3,plain,
( ! [U_4493] :
( ? [U_4492] :
( ! [U_4491] :
( p1_s23_fraenkel(U_4492,U_4491)
| ~ p1_s23_fraenkel(U_4491,U_4492)
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel) )
& p1_s23_fraenkel(U_4492,U_4493)
& r2_hidden(U_4492,f2_s23_fraenkel)
& m1_subset_1(U_4492,f1_s23_fraenkel) )
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel) )
| ? [U_4490] :
( ? [U_4489] :
( ? [U_4488] :
( ~ p1_s23_fraenkel(U_4490,U_4488)
& p1_s23_fraenkel(U_4489,U_4488)
& p1_s23_fraenkel(U_4490,U_4489)
& m1_subset_1(U_4488,f1_s23_fraenkel) )
& m1_subset_1(U_4489,f1_s23_fraenkel) )
& m1_subset_1(U_4490,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK507,sK507)
& m1_subset_1(sK507,f1_s23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK507]),skolemize(U_4487,sK507)],[f_1608_2]) ).
fof(f_1608_4,plain,
( ! [U_4493] :
( ? [U_4492] :
( ! [U_4491] :
( p1_s23_fraenkel(U_4492,U_4491)
| ~ p1_s23_fraenkel(U_4491,U_4492)
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel) )
& p1_s23_fraenkel(U_4492,U_4493)
& r2_hidden(U_4492,f2_s23_fraenkel)
& m1_subset_1(U_4492,f1_s23_fraenkel) )
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel) )
| ( ? [U_4489] :
( ? [U_4488] :
( ~ p1_s23_fraenkel(sK508,U_4488)
& p1_s23_fraenkel(U_4489,U_4488)
& p1_s23_fraenkel(sK508,U_4489)
& m1_subset_1(U_4488,f1_s23_fraenkel) )
& m1_subset_1(U_4489,f1_s23_fraenkel) )
& m1_subset_1(sK508,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK507,sK507)
& m1_subset_1(sK507,f1_s23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK508]),skolemize(U_4490,sK508)],[f_1608_3]) ).
fof(f_1608_5,plain,
( ! [U_4493] :
( ? [U_4492] :
( ! [U_4491] :
( p1_s23_fraenkel(U_4492,U_4491)
| ~ p1_s23_fraenkel(U_4491,U_4492)
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel) )
& p1_s23_fraenkel(U_4492,U_4493)
& r2_hidden(U_4492,f2_s23_fraenkel)
& m1_subset_1(U_4492,f1_s23_fraenkel) )
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel) )
| ( ? [U_4488] :
( ~ p1_s23_fraenkel(sK508,U_4488)
& p1_s23_fraenkel(sK509,U_4488)
& p1_s23_fraenkel(sK508,sK509)
& m1_subset_1(U_4488,f1_s23_fraenkel) )
& m1_subset_1(sK509,f1_s23_fraenkel)
& m1_subset_1(sK508,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK507,sK507)
& m1_subset_1(sK507,f1_s23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK509]),skolemize(U_4489,sK509)],[f_1608_4]) ).
fof(f_1608_6,plain,
( ! [U_4493] :
( ? [U_4492] :
( ! [U_4491] :
( p1_s23_fraenkel(U_4492,U_4491)
| ~ p1_s23_fraenkel(U_4491,U_4492)
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel) )
& p1_s23_fraenkel(U_4492,U_4493)
& r2_hidden(U_4492,f2_s23_fraenkel)
& m1_subset_1(U_4492,f1_s23_fraenkel) )
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK508,sK510)
& p1_s23_fraenkel(sK509,sK510)
& p1_s23_fraenkel(sK508,sK509)
& m1_subset_1(sK510,f1_s23_fraenkel)
& m1_subset_1(sK509,f1_s23_fraenkel)
& m1_subset_1(sK508,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK507,sK507)
& m1_subset_1(sK507,f1_s23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK510]),skolemize(U_4488,sK510)],[f_1608_5]) ).
fof(f_1608_7,plain,
( ! [U_4493] :
( ( ! [U_4491] :
( p1_s23_fraenkel(sK511(U_4493),U_4491)
| ~ p1_s23_fraenkel(U_4491,sK511(U_4493))
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel) )
& p1_s23_fraenkel(sK511(U_4493),U_4493)
& r2_hidden(sK511(U_4493),f2_s23_fraenkel)
& m1_subset_1(sK511(U_4493),f1_s23_fraenkel) )
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK508,sK510)
& p1_s23_fraenkel(sK509,sK510)
& p1_s23_fraenkel(sK508,sK509)
& m1_subset_1(sK510,f1_s23_fraenkel)
& m1_subset_1(sK509,f1_s23_fraenkel)
& m1_subset_1(sK508,f1_s23_fraenkel) )
| ( ~ p1_s23_fraenkel(sK507,sK507)
& m1_subset_1(sK507,f1_s23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK511]),skolemize(U_4492,sK511(U_4493))],[f_1608_6]) ).
fof(f_1608_8,plain,
( ! [U_4493,U_4491] :
( p1_s23_fraenkel(sK511(U_4493),U_4491)
| ~ p1_s23_fraenkel(U_4491,sK511(U_4493))
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel)
| ~ sP720(U_4493,U_4491) )
& ! [U_4493,U_4491] :
( p1_s23_fraenkel(sK511(U_4493),U_4493)
| ~ sP720(U_4493,U_4491) )
& ! [U_4493,U_4491] :
( r2_hidden(sK511(U_4493),f2_s23_fraenkel)
| ~ sP720(U_4493,U_4491) )
& ! [U_4493,U_4491] :
( m1_subset_1(sK511(U_4493),f1_s23_fraenkel)
| ~ sP720(U_4493,U_4491) )
& ( ~ p1_s23_fraenkel(sK508,sK510)
| ~ sP719 )
& ( p1_s23_fraenkel(sK509,sK510)
| ~ sP719 )
& ( p1_s23_fraenkel(sK508,sK509)
| ~ sP719 )
& ( m1_subset_1(sK510,f1_s23_fraenkel)
| ~ sP719 )
& ( m1_subset_1(sK509,f1_s23_fraenkel)
| ~ sP719 )
& ( m1_subset_1(sK508,f1_s23_fraenkel)
| ~ sP719 )
& ( ~ p1_s23_fraenkel(sK507,sK507)
| ~ sP718 )
& ( m1_subset_1(sK507,f1_s23_fraenkel)
| ~ sP718 )
& ! [U_4493,U_4491] :
( sP720(U_4493,U_4491)
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel)
| sP719
| sP718 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP718,sP719,sP720])],[f_1608_7]) ).
cnf(f_1608_9,plain,
( sP720(U_4493,U_4491)
| ~ r2_hidden(U_4493,f2_s23_fraenkel)
| ~ m1_subset_1(U_4493,f1_s23_fraenkel)
| sP719
| sP718 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_10,plain,
( m1_subset_1(sK507,f1_s23_fraenkel)
| ~ sP718 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_11,plain,
( ~ p1_s23_fraenkel(sK507,sK507)
| ~ sP718 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_12,plain,
( m1_subset_1(sK508,f1_s23_fraenkel)
| ~ sP719 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_13,plain,
( m1_subset_1(sK509,f1_s23_fraenkel)
| ~ sP719 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_14,plain,
( m1_subset_1(sK510,f1_s23_fraenkel)
| ~ sP719 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_15,plain,
( p1_s23_fraenkel(sK508,sK509)
| ~ sP719 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_16,plain,
( p1_s23_fraenkel(sK509,sK510)
| ~ sP719 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_17,plain,
( ~ p1_s23_fraenkel(sK508,sK510)
| ~ sP719 ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_18,plain,
( m1_subset_1(sK511(U_4493),f1_s23_fraenkel)
| ~ sP720(U_4493,U_4491) ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_19,plain,
( r2_hidden(sK511(U_4493),f2_s23_fraenkel)
| ~ sP720(U_4493,U_4491) ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_20,plain,
( p1_s23_fraenkel(sK511(U_4493),U_4493)
| ~ sP720(U_4493,U_4491) ),
inference(clausify,[status(thm)],[f_1608_8]) ).
cnf(f_1608_21,plain,
( p1_s23_fraenkel(sK511(U_4493),U_4491)
| ~ p1_s23_fraenkel(U_4491,sK511(U_4493))
| ~ r2_hidden(U_4491,f2_s23_fraenkel)
| ~ m1_subset_1(U_4491,f1_s23_fraenkel)
| ~ sP720(U_4493,U_4491) ),
inference(clausify,[status(thm)],[f_1608_8]) ).
fof(f_1609_1,plain,
? [A] :
( ! [B] :
( ( ( r2_hidden(B,A)
| ! [C] :
( ~ p1_s24_fraenkel(B,C)
| B != f4_s24_fraenkel(C)
| ~ r2_hidden(C,f3_s24_fraenkel)
| ~ m1_subset_1(C,f2_s24_fraenkel) ) )
& ( ? [C] :
( p1_s24_fraenkel(B,C)
& B = f4_s24_fraenkel(C)
& r2_hidden(C,f3_s24_fraenkel)
& m1_subset_1(C,f2_s24_fraenkel) )
| ~ r2_hidden(B,A) ) )
| ~ m1_subset_1(B,f1_s24_fraenkel) )
& m1_subset_1(A,k5_finsub_1(f1_s24_fraenkel)) ),
inference(fof_nnf,[status(thm)],[s24_fraenkel]) ).
fof(f_1609_2,plain,
? [U_4497] :
( ! [U_4496] :
( ( ( r2_hidden(U_4496,U_4497)
| ! [U_4495] :
( ~ p1_s24_fraenkel(U_4496,U_4495)
| U_4496 != f4_s24_fraenkel(U_4495)
| ~ r2_hidden(U_4495,f3_s24_fraenkel)
| ~ m1_subset_1(U_4495,f2_s24_fraenkel) ) )
& ( ? [U_4494] :
( p1_s24_fraenkel(U_4496,U_4494)
& U_4496 = f4_s24_fraenkel(U_4494)
& r2_hidden(U_4494,f3_s24_fraenkel)
& m1_subset_1(U_4494,f2_s24_fraenkel) )
| ~ r2_hidden(U_4496,U_4497) ) )
| ~ m1_subset_1(U_4496,f1_s24_fraenkel) )
& m1_subset_1(U_4497,k5_finsub_1(f1_s24_fraenkel)) ),
inference(variable_rename,[status(thm)],[f_1609_1]) ).
fof(f_1609_3,plain,
( ! [U_4496] :
( ( ( r2_hidden(U_4496,sK512)
| ! [U_4495] :
( ~ p1_s24_fraenkel(U_4496,U_4495)
| U_4496 != f4_s24_fraenkel(U_4495)
| ~ r2_hidden(U_4495,f3_s24_fraenkel)
| ~ m1_subset_1(U_4495,f2_s24_fraenkel) ) )
& ( ? [U_4494] :
( p1_s24_fraenkel(U_4496,U_4494)
& U_4496 = f4_s24_fraenkel(U_4494)
& r2_hidden(U_4494,f3_s24_fraenkel)
& m1_subset_1(U_4494,f2_s24_fraenkel) )
| ~ r2_hidden(U_4496,sK512) ) )
| ~ m1_subset_1(U_4496,f1_s24_fraenkel) )
& m1_subset_1(sK512,k5_finsub_1(f1_s24_fraenkel)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK512]),skolemize(U_4497,sK512)],[f_1609_2]) ).
fof(f_1609_4,plain,
( ! [U_4496] :
( ( ( r2_hidden(U_4496,sK512)
| ! [U_4495] :
( ~ p1_s24_fraenkel(U_4496,U_4495)
| U_4496 != f4_s24_fraenkel(U_4495)
| ~ r2_hidden(U_4495,f3_s24_fraenkel)
| ~ m1_subset_1(U_4495,f2_s24_fraenkel) ) )
& ( ( p1_s24_fraenkel(U_4496,sK513(U_4496))
& U_4496 = f4_s24_fraenkel(sK513(U_4496))
& r2_hidden(sK513(U_4496),f3_s24_fraenkel)
& m1_subset_1(sK513(U_4496),f2_s24_fraenkel) )
| ~ r2_hidden(U_4496,sK512) ) )
| ~ m1_subset_1(U_4496,f1_s24_fraenkel) )
& m1_subset_1(sK512,k5_finsub_1(f1_s24_fraenkel)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK513]),skolemize(U_4494,sK513(U_4496))],[f_1609_3]) ).
fof(f_1609_5,plain,
( ! [U_4496] :
( p1_s24_fraenkel(U_4496,sK513(U_4496))
| ~ sP721(U_4496) )
& ! [U_4496] :
( U_4496 = f4_s24_fraenkel(sK513(U_4496))
| ~ sP721(U_4496) )
& ! [U_4496] :
( r2_hidden(sK513(U_4496),f3_s24_fraenkel)
| ~ sP721(U_4496) )
& ! [U_4496] :
( m1_subset_1(sK513(U_4496),f2_s24_fraenkel)
| ~ sP721(U_4496) )
& ! [U_4496,U_4495] :
( r2_hidden(U_4496,sK512)
| ~ p1_s24_fraenkel(U_4496,U_4495)
| U_4496 != f4_s24_fraenkel(U_4495)
| ~ r2_hidden(U_4495,f3_s24_fraenkel)
| ~ m1_subset_1(U_4495,f2_s24_fraenkel)
| ~ sP722(U_4496,U_4495) )
& ! [U_4496,U_4495] :
( sP721(U_4496)
| ~ r2_hidden(U_4496,sK512)
| ~ sP722(U_4496,U_4495) )
& ! [U_4496,U_4495] :
( sP722(U_4496,U_4495)
| ~ m1_subset_1(U_4496,f1_s24_fraenkel) )
& m1_subset_1(sK512,k5_finsub_1(f1_s24_fraenkel)) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP721,sP722])],[f_1609_4]) ).
cnf(f_1609_6,plain,
m1_subset_1(sK512,k5_finsub_1(f1_s24_fraenkel)),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_7,plain,
( sP722(U_4496,U_4495)
| ~ m1_subset_1(U_4496,f1_s24_fraenkel) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_8,plain,
( sP721(U_4496)
| ~ r2_hidden(U_4496,sK512)
| ~ sP722(U_4496,U_4495) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_9,plain,
( r2_hidden(U_4496,sK512)
| ~ p1_s24_fraenkel(U_4496,U_4495)
| U_4496 != f4_s24_fraenkel(U_4495)
| ~ r2_hidden(U_4495,f3_s24_fraenkel)
| ~ m1_subset_1(U_4495,f2_s24_fraenkel)
| ~ sP722(U_4496,U_4495) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_10,plain,
( m1_subset_1(sK513(U_4496),f2_s24_fraenkel)
| ~ sP721(U_4496) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_11,plain,
( r2_hidden(sK513(U_4496),f3_s24_fraenkel)
| ~ sP721(U_4496) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_12,plain,
( U_4496 = f4_s24_fraenkel(sK513(U_4496))
| ~ sP721(U_4496) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
cnf(f_1609_13,plain,
( p1_s24_fraenkel(U_4496,sK513(U_4496))
| ~ sP721(U_4496) ),
inference(clausify,[status(thm)],[f_1609_5]) ).
fof(f_1610_1,plain,
( ? [A] :
( ! [B] :
( p1_s26_fraenkel(B,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,A,B))
| ~ r2_hidden(B,f3_s26_fraenkel)
| ~ m1_subset_1(B,f1_s26_fraenkel) )
& m2_relset_1(A,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_2(A,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_1(A) )
| ? [A] :
( ! [B] :
( ~ p1_s26_fraenkel(A,B)
| ~ m1_subset_1(B,f2_s26_fraenkel) )
& r2_hidden(A,f3_s26_fraenkel)
& m1_subset_1(A,f1_s26_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s26_fraenkel]) ).
fof(f_1610_2,plain,
( ? [U_4501] :
( ! [U_4500] :
( p1_s26_fraenkel(U_4500,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,U_4501,U_4500))
| ~ r2_hidden(U_4500,f3_s26_fraenkel)
| ~ m1_subset_1(U_4500,f1_s26_fraenkel) )
& m2_relset_1(U_4501,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_2(U_4501,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_1(U_4501) )
| ? [U_4499] :
( ! [U_4498] :
( ~ p1_s26_fraenkel(U_4499,U_4498)
| ~ m1_subset_1(U_4498,f2_s26_fraenkel) )
& r2_hidden(U_4499,f3_s26_fraenkel)
& m1_subset_1(U_4499,f1_s26_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1610_1]) ).
fof(f_1610_3,plain,
( ? [U_4501] :
( ! [U_4500] :
( p1_s26_fraenkel(U_4500,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,U_4501,U_4500))
| ~ r2_hidden(U_4500,f3_s26_fraenkel)
| ~ m1_subset_1(U_4500,f1_s26_fraenkel) )
& m2_relset_1(U_4501,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_2(U_4501,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_1(U_4501) )
| ( ! [U_4498] :
( ~ p1_s26_fraenkel(sK514,U_4498)
| ~ m1_subset_1(U_4498,f2_s26_fraenkel) )
& r2_hidden(sK514,f3_s26_fraenkel)
& m1_subset_1(sK514,f1_s26_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK514]),skolemize(U_4499,sK514)],[f_1610_2]) ).
fof(f_1610_4,plain,
( ( ! [U_4500] :
( p1_s26_fraenkel(U_4500,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,sK515,U_4500))
| ~ r2_hidden(U_4500,f3_s26_fraenkel)
| ~ m1_subset_1(U_4500,f1_s26_fraenkel) )
& m2_relset_1(sK515,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_2(sK515,f1_s26_fraenkel,f2_s26_fraenkel)
& v1_funct_1(sK515) )
| ( ! [U_4498] :
( ~ p1_s26_fraenkel(sK514,U_4498)
| ~ m1_subset_1(U_4498,f2_s26_fraenkel) )
& r2_hidden(sK514,f3_s26_fraenkel)
& m1_subset_1(sK514,f1_s26_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK515]),skolemize(U_4501,sK515)],[f_1610_3]) ).
fof(f_1610_5,plain,
( ! [U_4500] :
( p1_s26_fraenkel(U_4500,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,sK515,U_4500))
| ~ r2_hidden(U_4500,f3_s26_fraenkel)
| ~ m1_subset_1(U_4500,f1_s26_fraenkel)
| ~ sP724(U_4500) )
& ! [U_4500] :
( m2_relset_1(sK515,f1_s26_fraenkel,f2_s26_fraenkel)
| ~ sP724(U_4500) )
& ! [U_4500] :
( v1_funct_2(sK515,f1_s26_fraenkel,f2_s26_fraenkel)
| ~ sP724(U_4500) )
& ! [U_4500] :
( v1_funct_1(sK515)
| ~ sP724(U_4500) )
& ! [U_4498] :
( ~ p1_s26_fraenkel(sK514,U_4498)
| ~ m1_subset_1(U_4498,f2_s26_fraenkel)
| ~ sP723(U_4498) )
& ! [U_4498] :
( r2_hidden(sK514,f3_s26_fraenkel)
| ~ sP723(U_4498) )
& ! [U_4498] :
( m1_subset_1(sK514,f1_s26_fraenkel)
| ~ sP723(U_4498) )
& ! [U_4498,U_4500] :
( sP724(U_4500)
| sP723(U_4498) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP723,sP724])],[f_1610_4]) ).
cnf(f_1610_6,plain,
( sP724(U_4500)
| sP723(U_4498) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_7,plain,
( m1_subset_1(sK514,f1_s26_fraenkel)
| ~ sP723(U_4498) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_8,plain,
( r2_hidden(sK514,f3_s26_fraenkel)
| ~ sP723(U_4498) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_9,plain,
( ~ p1_s26_fraenkel(sK514,U_4498)
| ~ m1_subset_1(U_4498,f2_s26_fraenkel)
| ~ sP723(U_4498) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_10,plain,
( v1_funct_1(sK515)
| ~ sP724(U_4500) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_11,plain,
( v1_funct_2(sK515,f1_s26_fraenkel,f2_s26_fraenkel)
| ~ sP724(U_4500) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_12,plain,
( m2_relset_1(sK515,f1_s26_fraenkel,f2_s26_fraenkel)
| ~ sP724(U_4500) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
cnf(f_1610_13,plain,
( p1_s26_fraenkel(U_4500,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,sK515,U_4500))
| ~ r2_hidden(U_4500,f3_s26_fraenkel)
| ~ m1_subset_1(U_4500,f1_s26_fraenkel)
| ~ sP724(U_4500) ),
inference(clausify,[status(thm)],[f_1610_5]) ).
fof(f_1611_1,plain,
( ? [A] :
( ! [B] :
( p1_s27_fraenkel(B,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,A,B))
| ~ r2_hidden(B,f3_s27_fraenkel)
| ~ m1_subset_1(B,f1_s27_fraenkel) )
& m2_fraenkel(A,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) )
| ? [A] :
( ! [B] :
( ~ p1_s27_fraenkel(A,B)
| ~ m1_subset_1(B,f2_s27_fraenkel) )
& r2_hidden(A,f3_s27_fraenkel)
& m1_subset_1(A,f1_s27_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s27_fraenkel]) ).
fof(f_1611_2,plain,
( ? [U_4505] :
( ! [U_4504] :
( p1_s27_fraenkel(U_4504,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,U_4505,U_4504))
| ~ r2_hidden(U_4504,f3_s27_fraenkel)
| ~ m1_subset_1(U_4504,f1_s27_fraenkel) )
& m2_fraenkel(U_4505,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) )
| ? [U_4503] :
( ! [U_4502] :
( ~ p1_s27_fraenkel(U_4503,U_4502)
| ~ m1_subset_1(U_4502,f2_s27_fraenkel) )
& r2_hidden(U_4503,f3_s27_fraenkel)
& m1_subset_1(U_4503,f1_s27_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1611_1]) ).
fof(f_1611_3,plain,
( ? [U_4505] :
( ! [U_4504] :
( p1_s27_fraenkel(U_4504,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,U_4505,U_4504))
| ~ r2_hidden(U_4504,f3_s27_fraenkel)
| ~ m1_subset_1(U_4504,f1_s27_fraenkel) )
& m2_fraenkel(U_4505,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) )
| ( ! [U_4502] :
( ~ p1_s27_fraenkel(sK516,U_4502)
| ~ m1_subset_1(U_4502,f2_s27_fraenkel) )
& r2_hidden(sK516,f3_s27_fraenkel)
& m1_subset_1(sK516,f1_s27_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK516]),skolemize(U_4503,sK516)],[f_1611_2]) ).
fof(f_1611_4,plain,
( ( ! [U_4504] :
( p1_s27_fraenkel(U_4504,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,sK517,U_4504))
| ~ r2_hidden(U_4504,f3_s27_fraenkel)
| ~ m1_subset_1(U_4504,f1_s27_fraenkel) )
& m2_fraenkel(sK517,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) )
| ( ! [U_4502] :
( ~ p1_s27_fraenkel(sK516,U_4502)
| ~ m1_subset_1(U_4502,f2_s27_fraenkel) )
& r2_hidden(sK516,f3_s27_fraenkel)
& m1_subset_1(sK516,f1_s27_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK517]),skolemize(U_4505,sK517)],[f_1611_3]) ).
fof(f_1611_5,plain,
( ! [U_4504] :
( p1_s27_fraenkel(U_4504,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,sK517,U_4504))
| ~ r2_hidden(U_4504,f3_s27_fraenkel)
| ~ m1_subset_1(U_4504,f1_s27_fraenkel)
| ~ sP726(U_4504) )
& ! [U_4504] :
( m2_fraenkel(sK517,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel))
| ~ sP726(U_4504) )
& ! [U_4502] :
( ~ p1_s27_fraenkel(sK516,U_4502)
| ~ m1_subset_1(U_4502,f2_s27_fraenkel)
| ~ sP725(U_4502) )
& ! [U_4502] :
( r2_hidden(sK516,f3_s27_fraenkel)
| ~ sP725(U_4502) )
& ! [U_4502] :
( m1_subset_1(sK516,f1_s27_fraenkel)
| ~ sP725(U_4502) )
& ! [U_4504,U_4502] :
( sP726(U_4504)
| sP725(U_4502) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP725,sP726])],[f_1611_4]) ).
cnf(f_1611_6,plain,
( sP726(U_4504)
| sP725(U_4502) ),
inference(clausify,[status(thm)],[f_1611_5]) ).
cnf(f_1611_7,plain,
( m1_subset_1(sK516,f1_s27_fraenkel)
| ~ sP725(U_4502) ),
inference(clausify,[status(thm)],[f_1611_5]) ).
cnf(f_1611_8,plain,
( r2_hidden(sK516,f3_s27_fraenkel)
| ~ sP725(U_4502) ),
inference(clausify,[status(thm)],[f_1611_5]) ).
cnf(f_1611_9,plain,
( ~ p1_s27_fraenkel(sK516,U_4502)
| ~ m1_subset_1(U_4502,f2_s27_fraenkel)
| ~ sP725(U_4502) ),
inference(clausify,[status(thm)],[f_1611_5]) ).
cnf(f_1611_10,plain,
( m2_fraenkel(sK517,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel))
| ~ sP726(U_4504) ),
inference(clausify,[status(thm)],[f_1611_5]) ).
cnf(f_1611_11,plain,
( p1_s27_fraenkel(U_4504,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,sK517,U_4504))
| ~ r2_hidden(U_4504,f3_s27_fraenkel)
| ~ m1_subset_1(U_4504,f1_s27_fraenkel)
| ~ sP726(U_4504) ),
inference(clausify,[status(thm)],[f_1611_5]) ).
fof(f_1612_1,plain,
! [A,B,C] :
( ( v1_fraenkel(C)
& ~ v1_xboole_0(C) )
| ~ m1_fraenkel(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_m1_fraenkel]) ).
fof(f_1612_2,plain,
! [U_4508,U_4507,U_4506] :
( ( v1_fraenkel(U_4506)
& ~ v1_xboole_0(U_4506) )
| ~ m1_fraenkel(U_4506,U_4508,U_4507) ),
inference(variable_rename,[status(thm)],[f_1612_1]) ).
fof(f_1612_3,plain,
( ! [U_4506] :
( v1_fraenkel(U_4506)
| ~ sP727(U_4506) )
& ! [U_4506] :
( ~ v1_xboole_0(U_4506)
| ~ sP727(U_4506) )
& ! [U_4506,U_4507,U_4508] :
( sP727(U_4506)
| ~ m1_fraenkel(U_4506,U_4508,U_4507) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP727])],[f_1612_2]) ).
cnf(f_1612_4,plain,
( sP727(U_4506)
| ~ m1_fraenkel(U_4506,U_4508,U_4507) ),
inference(clausify,[status(thm)],[f_1612_3]) ).
cnf(f_1612_5,plain,
( ~ v1_xboole_0(U_4506)
| ~ sP727(U_4506) ),
inference(clausify,[status(thm)],[f_1612_3]) ).
cnf(f_1612_6,plain,
( v1_fraenkel(U_4506)
| ~ sP727(U_4506) ),
inference(clausify,[status(thm)],[f_1612_3]) ).
fof(f_1613_1,plain,
! [A,B] :
? [C] : m1_fraenkel(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_fraenkel]) ).
fof(f_1613_2,plain,
! [U_4511,U_4510] :
? [U_4509] : m1_fraenkel(U_4509,U_4511,U_4510),
inference(variable_rename,[status(thm)],[f_1613_1]) ).
fof(f_1613_3,plain,
! [U_4511,U_4510] : m1_fraenkel(sK518(U_4511,U_4510),U_4511,U_4510),
inference(skolemize,[status(esa),new_symbols(skolem,[sK518]),skolemize(U_4509,sK518(U_4511,U_4510))],[f_1613_2]) ).
fof(f_1613_4,plain,
! [U_4510,U_4511] : m1_fraenkel(sK518(U_4511,U_4510),U_4511,U_4510),
inference(definitional_conversion,[status(esa)],[f_1613_3]) ).
cnf(f_1613_5,plain,
m1_fraenkel(sK518(U_4511,U_4510),U_4511,U_4510),
inference(clausify,[status(thm)],[f_1613_4]) ).
fof(f_1614_1,plain,
! [A,B,C] :
( ! [D] :
( ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) )
| ~ m2_fraenkel(D,A,B,C) )
| ~ m1_fraenkel(C,A,B)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[dt_m2_fraenkel]) ).
fof(f_1614_2,plain,
! [U_4515,U_4514,U_4513] :
( ! [U_4512] :
( ( m2_relset_1(U_4512,U_4515,U_4514)
& v1_funct_2(U_4512,U_4515,U_4514)
& v1_funct_1(U_4512) )
| ~ m2_fraenkel(U_4512,U_4515,U_4514,U_4513) )
| ~ m1_fraenkel(U_4513,U_4515,U_4514)
| v1_xboole_0(U_4514) ),
inference(variable_rename,[status(thm)],[f_1614_1]) ).
fof(f_1614_3,plain,
( ! [U_4512,U_4514,U_4515] :
( m2_relset_1(U_4512,U_4515,U_4514)
| ~ sP728(U_4512,U_4514,U_4515) )
& ! [U_4512,U_4514,U_4515] :
( v1_funct_2(U_4512,U_4515,U_4514)
| ~ sP728(U_4512,U_4514,U_4515) )
& ! [U_4512,U_4514,U_4515] :
( v1_funct_1(U_4512)
| ~ sP728(U_4512,U_4514,U_4515) )
& ! [U_4512,U_4513,U_4514,U_4515] :
( sP728(U_4512,U_4514,U_4515)
| ~ m2_fraenkel(U_4512,U_4515,U_4514,U_4513)
| ~ m1_fraenkel(U_4513,U_4515,U_4514)
| v1_xboole_0(U_4514) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP728])],[f_1614_2]) ).
cnf(f_1614_4,plain,
( sP728(U_4512,U_4514,U_4515)
| ~ m2_fraenkel(U_4512,U_4515,U_4514,U_4513)
| ~ m1_fraenkel(U_4513,U_4515,U_4514)
| v1_xboole_0(U_4514) ),
inference(clausify,[status(thm)],[f_1614_3]) ).
cnf(f_1614_5,plain,
( v1_funct_1(U_4512)
| ~ sP728(U_4512,U_4514,U_4515) ),
inference(clausify,[status(thm)],[f_1614_3]) ).
cnf(f_1614_6,plain,
( v1_funct_2(U_4512,U_4515,U_4514)
| ~ sP728(U_4512,U_4514,U_4515) ),
inference(clausify,[status(thm)],[f_1614_3]) ).
cnf(f_1614_7,plain,
( m2_relset_1(U_4512,U_4515,U_4514)
| ~ sP728(U_4512,U_4514,U_4515) ),
inference(clausify,[status(thm)],[f_1614_3]) ).
fof(f_1615_1,plain,
! [A,B,C] :
( ? [D] : m2_fraenkel(D,A,B,C)
| ~ m1_fraenkel(C,A,B)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[existence_m2_fraenkel]) ).
fof(f_1615_2,plain,
! [U_4519,U_4518,U_4517] :
( ? [U_4516] : m2_fraenkel(U_4516,U_4519,U_4518,U_4517)
| ~ m1_fraenkel(U_4517,U_4519,U_4518)
| v1_xboole_0(U_4518) ),
inference(variable_rename,[status(thm)],[f_1615_1]) ).
fof(f_1615_3,plain,
! [U_4519,U_4518,U_4517] :
( m2_fraenkel(sK519(U_4519,U_4518,U_4517),U_4519,U_4518,U_4517)
| ~ m1_fraenkel(U_4517,U_4519,U_4518)
| v1_xboole_0(U_4518) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK519]),skolemize(U_4516,sK519(U_4519,U_4518,U_4517))],[f_1615_2]) ).
fof(f_1615_4,plain,
! [U_4519,U_4518,U_4517] :
( m2_fraenkel(sK519(U_4519,U_4518,U_4517),U_4519,U_4518,U_4517)
| ~ m1_fraenkel(U_4517,U_4519,U_4518)
| v1_xboole_0(U_4518) ),
inference(definitional_conversion,[status(esa)],[f_1615_3]) ).
cnf(f_1615_5,plain,
( m2_fraenkel(sK519(U_4519,U_4518,U_4517),U_4519,U_4518,U_4517)
| ~ m1_fraenkel(U_4517,U_4519,U_4518)
| v1_xboole_0(U_4518) ),
inference(clausify,[status(thm)],[f_1615_4]) ).
fof(f_1616_1,plain,
! [A,B,C] :
( ! [D] :
( ( m2_fraenkel(D,A,B,C)
| ~ m1_subset_1(D,C) )
& ( m1_subset_1(D,C)
| ~ m2_fraenkel(D,A,B,C) ) )
| ~ m1_fraenkel(C,A,B)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(f_1616_2,plain,
! [U_4523,U_4522,U_4521] :
( ! [U_4520] :
( ( m2_fraenkel(U_4520,U_4523,U_4522,U_4521)
| ~ m1_subset_1(U_4520,U_4521) )
& ( m1_subset_1(U_4520,U_4521)
| ~ m2_fraenkel(U_4520,U_4523,U_4522,U_4521) ) )
| ~ m1_fraenkel(U_4521,U_4523,U_4522)
| v1_xboole_0(U_4522) ),
inference(variable_rename,[status(thm)],[f_1616_1]) ).
fof(f_1616_3,plain,
! [U_4523,U_4522,U_4521] :
( ( ! [U_4525] :
( m2_fraenkel(U_4525,U_4523,U_4522,U_4521)
| ~ m1_subset_1(U_4525,U_4521) )
& ! [U_4524] :
( m1_subset_1(U_4524,U_4521)
| ~ m2_fraenkel(U_4524,U_4523,U_4522,U_4521) ) )
| ~ m1_fraenkel(U_4521,U_4523,U_4522)
| v1_xboole_0(U_4522) ),
inference(miniscope,[status(thm)],[f_1616_2]) ).
fof(f_1616_4,plain,
( ! [U_4523,U_4524,U_4525,U_4521,U_4522] :
( m2_fraenkel(U_4525,U_4523,U_4522,U_4521)
| ~ m1_subset_1(U_4525,U_4521)
| ~ sP729(U_4523,U_4524,U_4525,U_4521,U_4522) )
& ! [U_4523,U_4524,U_4525,U_4521,U_4522] :
( m1_subset_1(U_4524,U_4521)
| ~ m2_fraenkel(U_4524,U_4523,U_4522,U_4521)
| ~ sP729(U_4523,U_4524,U_4525,U_4521,U_4522) )
& ! [U_4523,U_4524,U_4525,U_4521,U_4522] :
( sP729(U_4523,U_4524,U_4525,U_4521,U_4522)
| ~ m1_fraenkel(U_4521,U_4523,U_4522)
| v1_xboole_0(U_4522) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP729])],[f_1616_3]) ).
cnf(f_1616_5,plain,
( sP729(U_4523,U_4524,U_4525,U_4521,U_4522)
| ~ m1_fraenkel(U_4521,U_4523,U_4522)
| v1_xboole_0(U_4522) ),
inference(clausify,[status(thm)],[f_1616_4]) ).
cnf(f_1616_6,plain,
( m1_subset_1(U_4524,U_4521)
| ~ m2_fraenkel(U_4524,U_4523,U_4522,U_4521)
| ~ sP729(U_4523,U_4524,U_4525,U_4521,U_4522) ),
inference(clausify,[status(thm)],[f_1616_4]) ).
cnf(f_1616_7,plain,
( m2_fraenkel(U_4525,U_4523,U_4522,U_4521)
| ~ m1_subset_1(U_4525,U_4521)
| ~ sP729(U_4523,U_4524,U_4525,U_4521,U_4522) ),
inference(clausify,[status(thm)],[f_1616_4]) ).
fof(f_1617_1,plain,
! [A,B] :
( m1_fraenkel(k1_fraenkel(A,B),A,B)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[dt_k1_fraenkel]) ).
fof(f_1617_2,plain,
! [U_4527,U_4526] :
( m1_fraenkel(k1_fraenkel(U_4527,U_4526),U_4527,U_4526)
| v1_xboole_0(U_4526) ),
inference(variable_rename,[status(thm)],[f_1617_1]) ).
fof(f_1617_3,plain,
! [U_4526,U_4527] :
( m1_fraenkel(k1_fraenkel(U_4527,U_4526),U_4527,U_4526)
| v1_xboole_0(U_4526) ),
inference(definitional_conversion,[status(esa)],[f_1617_2]) ).
cnf(f_1617_4,plain,
( m1_fraenkel(k1_fraenkel(U_4527,U_4526),U_4527,U_4526)
| v1_xboole_0(U_4526) ),
inference(clausify,[status(thm)],[f_1617_3]) ).
fof(f_1618_1,plain,
! [A,B] :
( k1_fraenkel(A,B) = k1_funct_2(A,B)
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[redefinition_k1_fraenkel]) ).
fof(f_1618_2,plain,
! [U_4529,U_4528] :
( k1_fraenkel(U_4529,U_4528) = k1_funct_2(U_4529,U_4528)
| v1_xboole_0(U_4528) ),
inference(variable_rename,[status(thm)],[f_1618_1]) ).
fof(f_1618_3,plain,
! [U_4529,U_4528] :
( k1_fraenkel(U_4529,U_4528) = k1_funct_2(U_4529,U_4528)
| v1_xboole_0(U_4528) ),
inference(definitional_conversion,[status(esa)],[f_1618_2]) ).
cnf(f_1618_4,plain,
( k1_fraenkel(U_4529,U_4528) = k1_funct_2(U_4529,U_4528)
| v1_xboole_0(U_4528) ),
inference(clausify,[status(thm)],[f_1618_3]) ).
fof(f_1619_1,plain,
( r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel)
| ? [A] :
( ~ p2_s1_fraenkel(A)
& p1_s1_fraenkel(A)
& m1_subset_1(A,f1_s1_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s1_fraenkel]) ).
fof(f_1619_2,plain,
( r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel)
| ? [U_4530] :
( ~ p2_s1_fraenkel(U_4530)
& p1_s1_fraenkel(U_4530)
& m1_subset_1(U_4530,f1_s1_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1619_1]) ).
fof(f_1619_3,plain,
( r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel)
| ( ~ p2_s1_fraenkel(sK520)
& p1_s1_fraenkel(sK520)
& m1_subset_1(sK520,f1_s1_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK520]),skolemize(U_4530,sK520)],[f_1619_2]) ).
fof(f_1619_4,plain,
( ( ~ p2_s1_fraenkel(sK520)
| ~ sP730 )
& ( p1_s1_fraenkel(sK520)
| ~ sP730 )
& ( m1_subset_1(sK520,f1_s1_fraenkel)
| ~ sP730 )
& ( r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel)
| sP730 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP730])],[f_1619_3]) ).
cnf(f_1619_5,plain,
( r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel)
| sP730 ),
inference(clausify,[status(thm)],[f_1619_4]) ).
cnf(f_1619_6,plain,
( m1_subset_1(sK520,f1_s1_fraenkel)
| ~ sP730 ),
inference(clausify,[status(thm)],[f_1619_4]) ).
cnf(f_1619_7,plain,
( p1_s1_fraenkel(sK520)
| ~ sP730 ),
inference(clausify,[status(thm)],[f_1619_4]) ).
cnf(f_1619_8,plain,
( ~ p2_s1_fraenkel(sK520)
| ~ sP730 ),
inference(clausify,[status(thm)],[f_1619_4]) ).
fof(f_1620_1,plain,
( r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel)
| ? [A] :
( ? [B] :
( ~ p2_s2_fraenkel(A,B)
& p1_s2_fraenkel(A,B)
& m1_subset_1(B,f2_s2_fraenkel) )
& m1_subset_1(A,f1_s2_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s2_fraenkel]) ).
fof(f_1620_2,plain,
( r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel)
| ? [U_4532] :
( ? [U_4531] :
( ~ p2_s2_fraenkel(U_4532,U_4531)
& p1_s2_fraenkel(U_4532,U_4531)
& m1_subset_1(U_4531,f2_s2_fraenkel) )
& m1_subset_1(U_4532,f1_s2_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1620_1]) ).
fof(f_1620_3,plain,
( r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel)
| ( ? [U_4531] :
( ~ p2_s2_fraenkel(sK521,U_4531)
& p1_s2_fraenkel(sK521,U_4531)
& m1_subset_1(U_4531,f2_s2_fraenkel) )
& m1_subset_1(sK521,f1_s2_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK521]),skolemize(U_4532,sK521)],[f_1620_2]) ).
fof(f_1620_4,plain,
( r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel)
| ( ~ p2_s2_fraenkel(sK521,sK522)
& p1_s2_fraenkel(sK521,sK522)
& m1_subset_1(sK522,f2_s2_fraenkel)
& m1_subset_1(sK521,f1_s2_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK522]),skolemize(U_4531,sK522)],[f_1620_3]) ).
fof(f_1620_5,plain,
( ( ~ p2_s2_fraenkel(sK521,sK522)
| ~ sP731 )
& ( p1_s2_fraenkel(sK521,sK522)
| ~ sP731 )
& ( m1_subset_1(sK522,f2_s2_fraenkel)
| ~ sP731 )
& ( m1_subset_1(sK521,f1_s2_fraenkel)
| ~ sP731 )
& ( r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel)
| sP731 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP731])],[f_1620_4]) ).
cnf(f_1620_6,plain,
( r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel)
| sP731 ),
inference(clausify,[status(thm)],[f_1620_5]) ).
cnf(f_1620_7,plain,
( m1_subset_1(sK521,f1_s2_fraenkel)
| ~ sP731 ),
inference(clausify,[status(thm)],[f_1620_5]) ).
cnf(f_1620_8,plain,
( m1_subset_1(sK522,f2_s2_fraenkel)
| ~ sP731 ),
inference(clausify,[status(thm)],[f_1620_5]) ).
cnf(f_1620_9,plain,
( p1_s2_fraenkel(sK521,sK522)
| ~ sP731 ),
inference(clausify,[status(thm)],[f_1620_5]) ).
cnf(f_1620_10,plain,
( ~ p2_s2_fraenkel(sK521,sK522)
| ~ sP731 ),
inference(clausify,[status(thm)],[f_1620_5]) ).
fof(f_1621_1,plain,
( a_0_4_fraenkel = a_0_5_fraenkel
| ? [A] :
( ( ( ~ p1_s3_fraenkel(A)
& p2_s3_fraenkel(A) )
| ( ~ p2_s3_fraenkel(A)
& p1_s3_fraenkel(A) ) )
& m1_subset_1(A,f1_s3_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s3_fraenkel]) ).
fof(f_1621_2,plain,
( a_0_4_fraenkel = a_0_5_fraenkel
| ? [U_4533] :
( ( ( ~ p1_s3_fraenkel(U_4533)
& p2_s3_fraenkel(U_4533) )
| ( ~ p2_s3_fraenkel(U_4533)
& p1_s3_fraenkel(U_4533) ) )
& m1_subset_1(U_4533,f1_s3_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1621_1]) ).
fof(f_1621_3,plain,
( a_0_4_fraenkel = a_0_5_fraenkel
| ( ( ( ~ p1_s3_fraenkel(sK523)
& p2_s3_fraenkel(sK523) )
| ( ~ p2_s3_fraenkel(sK523)
& p1_s3_fraenkel(sK523) ) )
& m1_subset_1(sK523,f1_s3_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK523]),skolemize(U_4533,sK523)],[f_1621_2]) ).
fof(f_1621_4,plain,
( ( ~ p1_s3_fraenkel(sK523)
| ~ sP733 )
& ( p2_s3_fraenkel(sK523)
| ~ sP733 )
& ( ~ p2_s3_fraenkel(sK523)
| ~ sP732 )
& ( p1_s3_fraenkel(sK523)
| ~ sP732 )
& ( sP733
| sP732
| ~ sP734 )
& ( m1_subset_1(sK523,f1_s3_fraenkel)
| ~ sP734 )
& ( a_0_4_fraenkel = a_0_5_fraenkel
| sP734 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP732,sP733,sP734])],[f_1621_3]) ).
cnf(f_1621_5,plain,
( a_0_4_fraenkel = a_0_5_fraenkel
| sP734 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
cnf(f_1621_6,plain,
( m1_subset_1(sK523,f1_s3_fraenkel)
| ~ sP734 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
cnf(f_1621_7,plain,
( sP733
| sP732
| ~ sP734 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
cnf(f_1621_8,plain,
( p1_s3_fraenkel(sK523)
| ~ sP732 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
cnf(f_1621_9,plain,
( ~ p2_s3_fraenkel(sK523)
| ~ sP732 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
cnf(f_1621_10,plain,
( p2_s3_fraenkel(sK523)
| ~ sP733 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
cnf(f_1621_11,plain,
( ~ p1_s3_fraenkel(sK523)
| ~ sP733 ),
inference(clausify,[status(thm)],[f_1621_4]) ).
fof(f_1622_1,plain,
( a_0_6_fraenkel = a_0_7_fraenkel
| ? [A] :
( ? [B] :
( ( ( ~ p1_s4_fraenkel(A,B)
& p2_s4_fraenkel(A,B) )
| ( ~ p2_s4_fraenkel(A,B)
& p1_s4_fraenkel(A,B) ) )
& m1_subset_1(B,f2_s4_fraenkel) )
& m1_subset_1(A,f1_s4_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s4_fraenkel]) ).
fof(f_1622_2,plain,
( a_0_6_fraenkel = a_0_7_fraenkel
| ? [U_4535] :
( ? [U_4534] :
( ( ( ~ p1_s4_fraenkel(U_4535,U_4534)
& p2_s4_fraenkel(U_4535,U_4534) )
| ( ~ p2_s4_fraenkel(U_4535,U_4534)
& p1_s4_fraenkel(U_4535,U_4534) ) )
& m1_subset_1(U_4534,f2_s4_fraenkel) )
& m1_subset_1(U_4535,f1_s4_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1622_1]) ).
fof(f_1622_3,plain,
( a_0_6_fraenkel = a_0_7_fraenkel
| ( ? [U_4534] :
( ( ( ~ p1_s4_fraenkel(sK524,U_4534)
& p2_s4_fraenkel(sK524,U_4534) )
| ( ~ p2_s4_fraenkel(sK524,U_4534)
& p1_s4_fraenkel(sK524,U_4534) ) )
& m1_subset_1(U_4534,f2_s4_fraenkel) )
& m1_subset_1(sK524,f1_s4_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK524]),skolemize(U_4535,sK524)],[f_1622_2]) ).
fof(f_1622_4,plain,
( a_0_6_fraenkel = a_0_7_fraenkel
| ( ( ( ~ p1_s4_fraenkel(sK524,sK525)
& p2_s4_fraenkel(sK524,sK525) )
| ( ~ p2_s4_fraenkel(sK524,sK525)
& p1_s4_fraenkel(sK524,sK525) ) )
& m1_subset_1(sK525,f2_s4_fraenkel)
& m1_subset_1(sK524,f1_s4_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK525]),skolemize(U_4534,sK525)],[f_1622_3]) ).
fof(f_1622_5,plain,
( ( ~ p1_s4_fraenkel(sK524,sK525)
| ~ sP736 )
& ( p2_s4_fraenkel(sK524,sK525)
| ~ sP736 )
& ( ~ p2_s4_fraenkel(sK524,sK525)
| ~ sP735 )
& ( p1_s4_fraenkel(sK524,sK525)
| ~ sP735 )
& ( sP736
| sP735
| ~ sP737 )
& ( m1_subset_1(sK525,f2_s4_fraenkel)
| ~ sP737 )
& ( m1_subset_1(sK524,f1_s4_fraenkel)
| ~ sP737 )
& ( a_0_6_fraenkel = a_0_7_fraenkel
| sP737 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP735,sP736,sP737])],[f_1622_4]) ).
cnf(f_1622_6,plain,
( a_0_6_fraenkel = a_0_7_fraenkel
| sP737 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_7,plain,
( m1_subset_1(sK524,f1_s4_fraenkel)
| ~ sP737 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_8,plain,
( m1_subset_1(sK525,f2_s4_fraenkel)
| ~ sP737 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_9,plain,
( sP736
| sP735
| ~ sP737 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_10,plain,
( p1_s4_fraenkel(sK524,sK525)
| ~ sP735 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_11,plain,
( ~ p2_s4_fraenkel(sK524,sK525)
| ~ sP735 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_12,plain,
( p2_s4_fraenkel(sK524,sK525)
| ~ sP736 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
cnf(f_1622_13,plain,
( ~ p1_s4_fraenkel(sK524,sK525)
| ~ sP736 ),
inference(clausify,[status(thm)],[f_1622_5]) ).
fof(f_1623_1,plain,
( a_0_8_fraenkel = a_0_9_fraenkel
| ? [A] :
( f2_s5_fraenkel(A) != f3_s5_fraenkel(A)
& m1_subset_1(A,f1_s5_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s5_fraenkel]) ).
fof(f_1623_2,plain,
( a_0_8_fraenkel = a_0_9_fraenkel
| ? [U_4536] :
( f2_s5_fraenkel(U_4536) != f3_s5_fraenkel(U_4536)
& m1_subset_1(U_4536,f1_s5_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1623_1]) ).
fof(f_1623_3,plain,
( a_0_8_fraenkel = a_0_9_fraenkel
| ( f2_s5_fraenkel(sK526) != f3_s5_fraenkel(sK526)
& m1_subset_1(sK526,f1_s5_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK526]),skolemize(U_4536,sK526)],[f_1623_2]) ).
fof(f_1623_4,plain,
( ( f2_s5_fraenkel(sK526) != f3_s5_fraenkel(sK526)
| ~ sP738 )
& ( m1_subset_1(sK526,f1_s5_fraenkel)
| ~ sP738 )
& ( a_0_8_fraenkel = a_0_9_fraenkel
| sP738 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP738])],[f_1623_3]) ).
cnf(f_1623_5,plain,
( a_0_8_fraenkel = a_0_9_fraenkel
| sP738 ),
inference(clausify,[status(thm)],[f_1623_4]) ).
cnf(f_1623_6,plain,
( m1_subset_1(sK526,f1_s5_fraenkel)
| ~ sP738 ),
inference(clausify,[status(thm)],[f_1623_4]) ).
cnf(f_1623_7,plain,
( f2_s5_fraenkel(sK526) != f3_s5_fraenkel(sK526)
| ~ sP738 ),
inference(clausify,[status(thm)],[f_1623_4]) ).
fof(f_1624_1,plain,
( a_0_10_fraenkel = a_0_11_fraenkel
| ? [A] :
( f2_s6_fraenkel(A) != f3_s6_fraenkel(A)
& p1_s6_fraenkel(A)
& m1_subset_1(A,f1_s6_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s6_fraenkel]) ).
fof(f_1624_2,plain,
( a_0_10_fraenkel = a_0_11_fraenkel
| ? [U_4537] :
( f2_s6_fraenkel(U_4537) != f3_s6_fraenkel(U_4537)
& p1_s6_fraenkel(U_4537)
& m1_subset_1(U_4537,f1_s6_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1624_1]) ).
fof(f_1624_3,plain,
( a_0_10_fraenkel = a_0_11_fraenkel
| ( f2_s6_fraenkel(sK527) != f3_s6_fraenkel(sK527)
& p1_s6_fraenkel(sK527)
& m1_subset_1(sK527,f1_s6_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK527]),skolemize(U_4537,sK527)],[f_1624_2]) ).
fof(f_1624_4,plain,
( ( f2_s6_fraenkel(sK527) != f3_s6_fraenkel(sK527)
| ~ sP739 )
& ( p1_s6_fraenkel(sK527)
| ~ sP739 )
& ( m1_subset_1(sK527,f1_s6_fraenkel)
| ~ sP739 )
& ( a_0_10_fraenkel = a_0_11_fraenkel
| sP739 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP739])],[f_1624_3]) ).
cnf(f_1624_5,plain,
( a_0_10_fraenkel = a_0_11_fraenkel
| sP739 ),
inference(clausify,[status(thm)],[f_1624_4]) ).
cnf(f_1624_6,plain,
( m1_subset_1(sK527,f1_s6_fraenkel)
| ~ sP739 ),
inference(clausify,[status(thm)],[f_1624_4]) ).
cnf(f_1624_7,plain,
( p1_s6_fraenkel(sK527)
| ~ sP739 ),
inference(clausify,[status(thm)],[f_1624_4]) ).
cnf(f_1624_8,plain,
( f2_s6_fraenkel(sK527) != f3_s6_fraenkel(sK527)
| ~ sP739 ),
inference(clausify,[status(thm)],[f_1624_4]) ).
fof(f_1625_1,plain,
( a_0_12_fraenkel = a_0_13_fraenkel
| ? [A] :
( ? [B] :
( f3_s7_fraenkel(A,B) != f4_s7_fraenkel(A,B)
& m1_subset_1(B,f2_s7_fraenkel) )
& m1_subset_1(A,f1_s7_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s7_fraenkel]) ).
fof(f_1625_2,plain,
( a_0_12_fraenkel = a_0_13_fraenkel
| ? [U_4539] :
( ? [U_4538] :
( f3_s7_fraenkel(U_4539,U_4538) != f4_s7_fraenkel(U_4539,U_4538)
& m1_subset_1(U_4538,f2_s7_fraenkel) )
& m1_subset_1(U_4539,f1_s7_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1625_1]) ).
fof(f_1625_3,plain,
( a_0_12_fraenkel = a_0_13_fraenkel
| ( ? [U_4538] :
( f3_s7_fraenkel(sK528,U_4538) != f4_s7_fraenkel(sK528,U_4538)
& m1_subset_1(U_4538,f2_s7_fraenkel) )
& m1_subset_1(sK528,f1_s7_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK528]),skolemize(U_4539,sK528)],[f_1625_2]) ).
fof(f_1625_4,plain,
( a_0_12_fraenkel = a_0_13_fraenkel
| ( f3_s7_fraenkel(sK528,sK529) != f4_s7_fraenkel(sK528,sK529)
& m1_subset_1(sK529,f2_s7_fraenkel)
& m1_subset_1(sK528,f1_s7_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK529]),skolemize(U_4538,sK529)],[f_1625_3]) ).
fof(f_1625_5,plain,
( ( f3_s7_fraenkel(sK528,sK529) != f4_s7_fraenkel(sK528,sK529)
| ~ sP740 )
& ( m1_subset_1(sK529,f2_s7_fraenkel)
| ~ sP740 )
& ( m1_subset_1(sK528,f1_s7_fraenkel)
| ~ sP740 )
& ( a_0_12_fraenkel = a_0_13_fraenkel
| sP740 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP740])],[f_1625_4]) ).
cnf(f_1625_6,plain,
( a_0_12_fraenkel = a_0_13_fraenkel
| sP740 ),
inference(clausify,[status(thm)],[f_1625_5]) ).
cnf(f_1625_7,plain,
( m1_subset_1(sK528,f1_s7_fraenkel)
| ~ sP740 ),
inference(clausify,[status(thm)],[f_1625_5]) ).
cnf(f_1625_8,plain,
( m1_subset_1(sK529,f2_s7_fraenkel)
| ~ sP740 ),
inference(clausify,[status(thm)],[f_1625_5]) ).
cnf(f_1625_9,plain,
( f3_s7_fraenkel(sK528,sK529) != f4_s7_fraenkel(sK528,sK529)
| ~ sP740 ),
inference(clausify,[status(thm)],[f_1625_5]) ).
fof(f_1626_1,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| ? [A] :
( ? [B] :
( f3_s8_fraenkel(A,B) != f3_s8_fraenkel(B,A)
& m1_subset_1(B,f2_s8_fraenkel) )
& m1_subset_1(A,f1_s8_fraenkel) )
| ? [A] :
( ? [B] :
( ( ( ~ p1_s8_fraenkel(A,B)
& p2_s8_fraenkel(A,B) )
| ( ~ p2_s8_fraenkel(A,B)
& p1_s8_fraenkel(A,B) ) )
& m1_subset_1(B,f2_s8_fraenkel) )
& m1_subset_1(A,f1_s8_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s8_fraenkel]) ).
fof(f_1626_2,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| ? [U_4543] :
( ? [U_4542] :
( f3_s8_fraenkel(U_4543,U_4542) != f3_s8_fraenkel(U_4542,U_4543)
& m1_subset_1(U_4542,f2_s8_fraenkel) )
& m1_subset_1(U_4543,f1_s8_fraenkel) )
| ? [U_4541] :
( ? [U_4540] :
( ( ( ~ p1_s8_fraenkel(U_4541,U_4540)
& p2_s8_fraenkel(U_4541,U_4540) )
| ( ~ p2_s8_fraenkel(U_4541,U_4540)
& p1_s8_fraenkel(U_4541,U_4540) ) )
& m1_subset_1(U_4540,f2_s8_fraenkel) )
& m1_subset_1(U_4541,f1_s8_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1626_1]) ).
fof(f_1626_3,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| ? [U_4543] :
( ? [U_4542] :
( f3_s8_fraenkel(U_4543,U_4542) != f3_s8_fraenkel(U_4542,U_4543)
& m1_subset_1(U_4542,f2_s8_fraenkel) )
& m1_subset_1(U_4543,f1_s8_fraenkel) )
| ( ? [U_4540] :
( ( ( ~ p1_s8_fraenkel(sK530,U_4540)
& p2_s8_fraenkel(sK530,U_4540) )
| ( ~ p2_s8_fraenkel(sK530,U_4540)
& p1_s8_fraenkel(sK530,U_4540) ) )
& m1_subset_1(U_4540,f2_s8_fraenkel) )
& m1_subset_1(sK530,f1_s8_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK530]),skolemize(U_4541,sK530)],[f_1626_2]) ).
fof(f_1626_4,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| ? [U_4543] :
( ? [U_4542] :
( f3_s8_fraenkel(U_4543,U_4542) != f3_s8_fraenkel(U_4542,U_4543)
& m1_subset_1(U_4542,f2_s8_fraenkel) )
& m1_subset_1(U_4543,f1_s8_fraenkel) )
| ( ( ( ~ p1_s8_fraenkel(sK530,sK531)
& p2_s8_fraenkel(sK530,sK531) )
| ( ~ p2_s8_fraenkel(sK530,sK531)
& p1_s8_fraenkel(sK530,sK531) ) )
& m1_subset_1(sK531,f2_s8_fraenkel)
& m1_subset_1(sK530,f1_s8_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK531]),skolemize(U_4540,sK531)],[f_1626_3]) ).
fof(f_1626_5,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| ( ? [U_4542] :
( f3_s8_fraenkel(sK532,U_4542) != f3_s8_fraenkel(U_4542,sK532)
& m1_subset_1(U_4542,f2_s8_fraenkel) )
& m1_subset_1(sK532,f1_s8_fraenkel) )
| ( ( ( ~ p1_s8_fraenkel(sK530,sK531)
& p2_s8_fraenkel(sK530,sK531) )
| ( ~ p2_s8_fraenkel(sK530,sK531)
& p1_s8_fraenkel(sK530,sK531) ) )
& m1_subset_1(sK531,f2_s8_fraenkel)
& m1_subset_1(sK530,f1_s8_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK532]),skolemize(U_4543,sK532)],[f_1626_4]) ).
fof(f_1626_6,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| ( f3_s8_fraenkel(sK532,sK533) != f3_s8_fraenkel(sK533,sK532)
& m1_subset_1(sK533,f2_s8_fraenkel)
& m1_subset_1(sK532,f1_s8_fraenkel) )
| ( ( ( ~ p1_s8_fraenkel(sK530,sK531)
& p2_s8_fraenkel(sK530,sK531) )
| ( ~ p2_s8_fraenkel(sK530,sK531)
& p1_s8_fraenkel(sK530,sK531) ) )
& m1_subset_1(sK531,f2_s8_fraenkel)
& m1_subset_1(sK530,f1_s8_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK533]),skolemize(U_4542,sK533)],[f_1626_5]) ).
fof(f_1626_7,plain,
( ( f3_s8_fraenkel(sK532,sK533) != f3_s8_fraenkel(sK533,sK532)
| ~ sP744 )
& ( m1_subset_1(sK533,f2_s8_fraenkel)
| ~ sP744 )
& ( m1_subset_1(sK532,f1_s8_fraenkel)
| ~ sP744 )
& ( ~ p1_s8_fraenkel(sK530,sK531)
| ~ sP742 )
& ( p2_s8_fraenkel(sK530,sK531)
| ~ sP742 )
& ( ~ p2_s8_fraenkel(sK530,sK531)
| ~ sP741 )
& ( p1_s8_fraenkel(sK530,sK531)
| ~ sP741 )
& ( sP742
| sP741
| ~ sP743 )
& ( m1_subset_1(sK531,f2_s8_fraenkel)
| ~ sP743 )
& ( m1_subset_1(sK530,f1_s8_fraenkel)
| ~ sP743 )
& ( a_0_14_fraenkel = a_0_15_fraenkel
| sP744
| sP743 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP741,sP742,sP743,sP744])],[f_1626_6]) ).
cnf(f_1626_8,plain,
( a_0_14_fraenkel = a_0_15_fraenkel
| sP744
| sP743 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_9,plain,
( m1_subset_1(sK530,f1_s8_fraenkel)
| ~ sP743 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_10,plain,
( m1_subset_1(sK531,f2_s8_fraenkel)
| ~ sP743 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_11,plain,
( sP742
| sP741
| ~ sP743 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_12,plain,
( p1_s8_fraenkel(sK530,sK531)
| ~ sP741 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_13,plain,
( ~ p2_s8_fraenkel(sK530,sK531)
| ~ sP741 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_14,plain,
( p2_s8_fraenkel(sK530,sK531)
| ~ sP742 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_15,plain,
( ~ p1_s8_fraenkel(sK530,sK531)
| ~ sP742 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_16,plain,
( m1_subset_1(sK532,f1_s8_fraenkel)
| ~ sP744 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_17,plain,
( m1_subset_1(sK533,f2_s8_fraenkel)
| ~ sP744 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
cnf(f_1626_18,plain,
( f3_s8_fraenkel(sK532,sK533) != f3_s8_fraenkel(sK533,sK532)
| ~ sP744 ),
inference(clausify,[status(thm)],[f_1626_7]) ).
fof(f_1627_1,plain,
( a_0_16_fraenkel = a_0_17_fraenkel
| ? [A] :
( ( ( ~ p1_s9_fraenkel(A)
& p2_s9_fraenkel(A) )
| ( ~ p2_s9_fraenkel(A)
& p1_s9_fraenkel(A) ) )
& r2_hidden(A,f3_s9_fraenkel)
& m1_subset_1(A,f1_s9_fraenkel) )
| k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) != k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) ),
inference(fof_nnf,[status(thm)],[s9_fraenkel]) ).
fof(f_1627_2,plain,
( a_0_16_fraenkel = a_0_17_fraenkel
| ? [U_4544] :
( ( ( ~ p1_s9_fraenkel(U_4544)
& p2_s9_fraenkel(U_4544) )
| ( ~ p2_s9_fraenkel(U_4544)
& p1_s9_fraenkel(U_4544) ) )
& r2_hidden(U_4544,f3_s9_fraenkel)
& m1_subset_1(U_4544,f1_s9_fraenkel) )
| k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) != k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) ),
inference(variable_rename,[status(thm)],[f_1627_1]) ).
fof(f_1627_3,plain,
( a_0_16_fraenkel = a_0_17_fraenkel
| ( ( ( ~ p1_s9_fraenkel(sK534)
& p2_s9_fraenkel(sK534) )
| ( ~ p2_s9_fraenkel(sK534)
& p1_s9_fraenkel(sK534) ) )
& r2_hidden(sK534,f3_s9_fraenkel)
& m1_subset_1(sK534,f1_s9_fraenkel) )
| k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) != k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK534]),skolemize(U_4544,sK534)],[f_1627_2]) ).
fof(f_1627_4,plain,
( ( ~ p1_s9_fraenkel(sK534)
| ~ sP746 )
& ( p2_s9_fraenkel(sK534)
| ~ sP746 )
& ( ~ p2_s9_fraenkel(sK534)
| ~ sP745 )
& ( p1_s9_fraenkel(sK534)
| ~ sP745 )
& ( sP746
| sP745
| ~ sP747 )
& ( r2_hidden(sK534,f3_s9_fraenkel)
| ~ sP747 )
& ( m1_subset_1(sK534,f1_s9_fraenkel)
| ~ sP747 )
& ( a_0_16_fraenkel = a_0_17_fraenkel
| sP747
| k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) != k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP745,sP746,sP747])],[f_1627_3]) ).
cnf(f_1627_5,plain,
( a_0_16_fraenkel = a_0_17_fraenkel
| sP747
| k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) != k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_6,plain,
( m1_subset_1(sK534,f1_s9_fraenkel)
| ~ sP747 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_7,plain,
( r2_hidden(sK534,f3_s9_fraenkel)
| ~ sP747 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_8,plain,
( sP746
| sP745
| ~ sP747 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_9,plain,
( p1_s9_fraenkel(sK534)
| ~ sP745 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_10,plain,
( ~ p2_s9_fraenkel(sK534)
| ~ sP745 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_11,plain,
( p2_s9_fraenkel(sK534)
| ~ sP746 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
cnf(f_1627_12,plain,
( ~ p1_s9_fraenkel(sK534)
| ~ sP746 ),
inference(clausify,[status(thm)],[f_1627_4]) ).
fof(f_1628_1,plain,
r1_tarski(a_0_18_fraenkel,f1_s10_fraenkel),
inference(fof_nnf,[status(thm)],[s10_fraenkel]) ).
fof(f_1628_2,plain,
r1_tarski(a_0_18_fraenkel,f1_s10_fraenkel),
inference(definitional_conversion,[status(esa)],[f_1628_1]) ).
cnf(f_1628_3,plain,
r1_tarski(a_0_18_fraenkel,f1_s10_fraenkel),
inference(clausify,[status(thm)],[f_1628_2]) ).
fof(f_1629_1,plain,
( ! [A] :
( ! [B] :
( p2_s11_fraenkel(f3_s11_fraenkel(A,B))
| ~ p1_s11_fraenkel(A,B)
| ~ m1_subset_1(B,f2_s11_fraenkel) )
| ~ m1_subset_1(A,f1_s11_fraenkel) )
| ? [A] :
( ~ p2_s11_fraenkel(A)
& r2_hidden(A,a_0_19_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s11_fraenkel]) ).
fof(f_1629_2,plain,
( ! [U_4547] :
( ! [U_4546] :
( p2_s11_fraenkel(f3_s11_fraenkel(U_4547,U_4546))
| ~ p1_s11_fraenkel(U_4547,U_4546)
| ~ m1_subset_1(U_4546,f2_s11_fraenkel) )
| ~ m1_subset_1(U_4547,f1_s11_fraenkel) )
| ? [U_4545] :
( ~ p2_s11_fraenkel(U_4545)
& r2_hidden(U_4545,a_0_19_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1629_1]) ).
fof(f_1629_3,plain,
( ! [U_4547] :
( ! [U_4546] :
( p2_s11_fraenkel(f3_s11_fraenkel(U_4547,U_4546))
| ~ p1_s11_fraenkel(U_4547,U_4546)
| ~ m1_subset_1(U_4546,f2_s11_fraenkel) )
| ~ m1_subset_1(U_4547,f1_s11_fraenkel) )
| ( ~ p2_s11_fraenkel(sK535)
& r2_hidden(sK535,a_0_19_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK535]),skolemize(U_4545,sK535)],[f_1629_2]) ).
fof(f_1629_4,plain,
( ( ~ p2_s11_fraenkel(sK535)
| ~ sP748 )
& ( r2_hidden(sK535,a_0_19_fraenkel)
| ~ sP748 )
& ! [U_4547,U_4546] :
( p2_s11_fraenkel(f3_s11_fraenkel(U_4547,U_4546))
| ~ p1_s11_fraenkel(U_4547,U_4546)
| ~ m1_subset_1(U_4546,f2_s11_fraenkel)
| ~ m1_subset_1(U_4547,f1_s11_fraenkel)
| sP748 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP748])],[f_1629_3]) ).
cnf(f_1629_5,plain,
( p2_s11_fraenkel(f3_s11_fraenkel(U_4547,U_4546))
| ~ p1_s11_fraenkel(U_4547,U_4546)
| ~ m1_subset_1(U_4546,f2_s11_fraenkel)
| ~ m1_subset_1(U_4547,f1_s11_fraenkel)
| sP748 ),
inference(clausify,[status(thm)],[f_1629_4]) ).
cnf(f_1629_6,plain,
( r2_hidden(sK535,a_0_19_fraenkel)
| ~ sP748 ),
inference(clausify,[status(thm)],[f_1629_4]) ).
cnf(f_1629_7,plain,
( ~ p2_s11_fraenkel(sK535)
| ~ sP748 ),
inference(clausify,[status(thm)],[f_1629_4]) ).
fof(f_1630_1,plain,
( ! [A] :
( p2_s12_fraenkel(A)
| ~ r2_hidden(A,a_0_20_fraenkel) )
| ? [A] :
( ? [B] :
( ~ p2_s12_fraenkel(f3_s12_fraenkel(A,B))
& p1_s12_fraenkel(A,B)
& m1_subset_1(B,f2_s12_fraenkel) )
& m1_subset_1(A,f1_s12_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s12_fraenkel]) ).
fof(f_1630_2,plain,
( ! [U_4550] :
( p2_s12_fraenkel(U_4550)
| ~ r2_hidden(U_4550,a_0_20_fraenkel) )
| ? [U_4549] :
( ? [U_4548] :
( ~ p2_s12_fraenkel(f3_s12_fraenkel(U_4549,U_4548))
& p1_s12_fraenkel(U_4549,U_4548)
& m1_subset_1(U_4548,f2_s12_fraenkel) )
& m1_subset_1(U_4549,f1_s12_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1630_1]) ).
fof(f_1630_3,plain,
( ! [U_4550] :
( p2_s12_fraenkel(U_4550)
| ~ r2_hidden(U_4550,a_0_20_fraenkel) )
| ( ? [U_4548] :
( ~ p2_s12_fraenkel(f3_s12_fraenkel(sK536,U_4548))
& p1_s12_fraenkel(sK536,U_4548)
& m1_subset_1(U_4548,f2_s12_fraenkel) )
& m1_subset_1(sK536,f1_s12_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK536]),skolemize(U_4549,sK536)],[f_1630_2]) ).
fof(f_1630_4,plain,
( ! [U_4550] :
( p2_s12_fraenkel(U_4550)
| ~ r2_hidden(U_4550,a_0_20_fraenkel) )
| ( ~ p2_s12_fraenkel(f3_s12_fraenkel(sK536,sK537))
& p1_s12_fraenkel(sK536,sK537)
& m1_subset_1(sK537,f2_s12_fraenkel)
& m1_subset_1(sK536,f1_s12_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK537]),skolemize(U_4548,sK537)],[f_1630_3]) ).
fof(f_1630_5,plain,
( ( ~ p2_s12_fraenkel(f3_s12_fraenkel(sK536,sK537))
| ~ sP749 )
& ( p1_s12_fraenkel(sK536,sK537)
| ~ sP749 )
& ( m1_subset_1(sK537,f2_s12_fraenkel)
| ~ sP749 )
& ( m1_subset_1(sK536,f1_s12_fraenkel)
| ~ sP749 )
& ! [U_4550] :
( p2_s12_fraenkel(U_4550)
| ~ r2_hidden(U_4550,a_0_20_fraenkel)
| sP749 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP749])],[f_1630_4]) ).
cnf(f_1630_6,plain,
( p2_s12_fraenkel(U_4550)
| ~ r2_hidden(U_4550,a_0_20_fraenkel)
| sP749 ),
inference(clausify,[status(thm)],[f_1630_5]) ).
cnf(f_1630_7,plain,
( m1_subset_1(sK536,f1_s12_fraenkel)
| ~ sP749 ),
inference(clausify,[status(thm)],[f_1630_5]) ).
cnf(f_1630_8,plain,
( m1_subset_1(sK537,f2_s12_fraenkel)
| ~ sP749 ),
inference(clausify,[status(thm)],[f_1630_5]) ).
cnf(f_1630_9,plain,
( p1_s12_fraenkel(sK536,sK537)
| ~ sP749 ),
inference(clausify,[status(thm)],[f_1630_5]) ).
cnf(f_1630_10,plain,
( ~ p2_s12_fraenkel(f3_s12_fraenkel(sK536,sK537))
| ~ sP749 ),
inference(clausify,[status(thm)],[f_1630_5]) ).
fof(f_1631_1,plain,
a_0_21_fraenkel = a_0_23_fraenkel,
inference(fof_nnf,[status(thm)],[s13_fraenkel]) ).
fof(f_1631_2,plain,
a_0_21_fraenkel = a_0_23_fraenkel,
inference(definitional_conversion,[status(esa)],[f_1631_1]) ).
cnf(f_1631_3,plain,
a_0_21_fraenkel = a_0_23_fraenkel,
inference(clausify,[status(thm)],[f_1631_2]) ).
fof(f_1632_1,plain,
a_0_24_fraenkel = a_0_26_fraenkel,
inference(fof_nnf,[status(thm)],[s14_fraenkel]) ).
fof(f_1632_2,plain,
a_0_24_fraenkel = a_0_26_fraenkel,
inference(definitional_conversion,[status(esa)],[f_1632_1]) ).
cnf(f_1632_3,plain,
a_0_24_fraenkel = a_0_26_fraenkel,
inference(clausify,[status(thm)],[f_1632_2]) ).
fof(f_1633_1,plain,
a_0_27_fraenkel = a_0_29_fraenkel,
inference(fof_nnf,[status(thm)],[s15_fraenkel]) ).
fof(f_1633_2,plain,
a_0_27_fraenkel = a_0_29_fraenkel,
inference(definitional_conversion,[status(esa)],[f_1633_1]) ).
cnf(f_1633_3,plain,
a_0_27_fraenkel = a_0_29_fraenkel,
inference(clausify,[status(thm)],[f_1633_2]) ).
fof(f_1634_1,plain,
( r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel)
| ? [A] :
( ? [B] :
( ! [C] :
( f3_s16_fraenkel(A,B) != f3_s16_fraenkel(C,B)
| ~ p2_s16_fraenkel(C,B)
| ~ m1_subset_1(C,f1_s16_fraenkel) )
& p1_s16_fraenkel(A,B)
& m1_subset_1(B,f2_s16_fraenkel) )
& m1_subset_1(A,f1_s16_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s16_fraenkel]) ).
fof(f_1634_2,plain,
( r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel)
| ? [U_4553] :
( ? [U_4552] :
( ! [U_4551] :
( f3_s16_fraenkel(U_4553,U_4552) != f3_s16_fraenkel(U_4551,U_4552)
| ~ p2_s16_fraenkel(U_4551,U_4552)
| ~ m1_subset_1(U_4551,f1_s16_fraenkel) )
& p1_s16_fraenkel(U_4553,U_4552)
& m1_subset_1(U_4552,f2_s16_fraenkel) )
& m1_subset_1(U_4553,f1_s16_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1634_1]) ).
fof(f_1634_3,plain,
( r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel)
| ( ? [U_4552] :
( ! [U_4551] :
( f3_s16_fraenkel(sK538,U_4552) != f3_s16_fraenkel(U_4551,U_4552)
| ~ p2_s16_fraenkel(U_4551,U_4552)
| ~ m1_subset_1(U_4551,f1_s16_fraenkel) )
& p1_s16_fraenkel(sK538,U_4552)
& m1_subset_1(U_4552,f2_s16_fraenkel) )
& m1_subset_1(sK538,f1_s16_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK538]),skolemize(U_4553,sK538)],[f_1634_2]) ).
fof(f_1634_4,plain,
( r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel)
| ( ! [U_4551] :
( f3_s16_fraenkel(sK538,sK539) != f3_s16_fraenkel(U_4551,sK539)
| ~ p2_s16_fraenkel(U_4551,sK539)
| ~ m1_subset_1(U_4551,f1_s16_fraenkel) )
& p1_s16_fraenkel(sK538,sK539)
& m1_subset_1(sK539,f2_s16_fraenkel)
& m1_subset_1(sK538,f1_s16_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK539]),skolemize(U_4552,sK539)],[f_1634_3]) ).
fof(f_1634_5,plain,
( ! [U_4551] :
( f3_s16_fraenkel(sK538,sK539) != f3_s16_fraenkel(U_4551,sK539)
| ~ p2_s16_fraenkel(U_4551,sK539)
| ~ m1_subset_1(U_4551,f1_s16_fraenkel)
| ~ sP750(U_4551) )
& ! [U_4551] :
( p1_s16_fraenkel(sK538,sK539)
| ~ sP750(U_4551) )
& ! [U_4551] :
( m1_subset_1(sK539,f2_s16_fraenkel)
| ~ sP750(U_4551) )
& ! [U_4551] :
( m1_subset_1(sK538,f1_s16_fraenkel)
| ~ sP750(U_4551) )
& ! [U_4551] :
( r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel)
| sP750(U_4551) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP750])],[f_1634_4]) ).
cnf(f_1634_6,plain,
( r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel)
| sP750(U_4551) ),
inference(clausify,[status(thm)],[f_1634_5]) ).
cnf(f_1634_7,plain,
( m1_subset_1(sK538,f1_s16_fraenkel)
| ~ sP750(U_4551) ),
inference(clausify,[status(thm)],[f_1634_5]) ).
cnf(f_1634_8,plain,
( m1_subset_1(sK539,f2_s16_fraenkel)
| ~ sP750(U_4551) ),
inference(clausify,[status(thm)],[f_1634_5]) ).
cnf(f_1634_9,plain,
( p1_s16_fraenkel(sK538,sK539)
| ~ sP750(U_4551) ),
inference(clausify,[status(thm)],[f_1634_5]) ).
cnf(f_1634_10,plain,
( f3_s16_fraenkel(sK538,sK539) != f3_s16_fraenkel(U_4551,sK539)
| ~ p2_s16_fraenkel(U_4551,sK539)
| ~ m1_subset_1(U_4551,f1_s16_fraenkel)
| ~ sP750(U_4551) ),
inference(clausify,[status(thm)],[f_1634_5]) ).
fof(f_1635_1,plain,
r1_tarski(a_0_32_fraenkel,f2_s17_fraenkel),
inference(fof_nnf,[status(thm)],[s17_fraenkel]) ).
fof(f_1635_2,plain,
r1_tarski(a_0_32_fraenkel,f2_s17_fraenkel),
inference(definitional_conversion,[status(esa)],[f_1635_1]) ).
cnf(f_1635_3,plain,
r1_tarski(a_0_32_fraenkel,f2_s17_fraenkel),
inference(clausify,[status(thm)],[f_1635_2]) ).
fof(f_1636_1,plain,
r1_xboole_0(a_0_33_fraenkel,f2_s18_fraenkel),
inference(fof_nnf,[status(thm)],[s18_fraenkel]) ).
fof(f_1636_2,plain,
r1_xboole_0(a_0_33_fraenkel,f2_s18_fraenkel),
inference(definitional_conversion,[status(esa)],[f_1636_1]) ).
cnf(f_1636_3,plain,
r1_xboole_0(a_0_33_fraenkel,f2_s18_fraenkel),
inference(clausify,[status(thm)],[f_1636_2]) ).
fof(f_1637_1,plain,
( a_0_34_fraenkel = a_0_35_fraenkel
| ? [A] :
( ? [B] :
( ( ( ~ p2_s19_fraenkel(A,B)
& p1_s19_fraenkel(A,B)
& B = f4_s19_fraenkel )
| ( ( ~ p1_s19_fraenkel(A,B)
| B != f4_s19_fraenkel )
& p2_s19_fraenkel(A,B) ) )
& m1_subset_1(B,f2_s19_fraenkel) )
& m1_subset_1(A,f1_s19_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[s19_fraenkel]) ).
fof(f_1637_2,plain,
( a_0_34_fraenkel = a_0_35_fraenkel
| ? [U_4555] :
( ? [U_4554] :
( ( ( ~ p2_s19_fraenkel(U_4555,U_4554)
& p1_s19_fraenkel(U_4555,U_4554)
& U_4554 = f4_s19_fraenkel )
| ( ( ~ p1_s19_fraenkel(U_4555,U_4554)
| U_4554 != f4_s19_fraenkel )
& p2_s19_fraenkel(U_4555,U_4554) ) )
& m1_subset_1(U_4554,f2_s19_fraenkel) )
& m1_subset_1(U_4555,f1_s19_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1637_1]) ).
fof(f_1637_3,plain,
( a_0_34_fraenkel = a_0_35_fraenkel
| ( ? [U_4554] :
( ( ( ~ p2_s19_fraenkel(sK540,U_4554)
& p1_s19_fraenkel(sK540,U_4554)
& U_4554 = f4_s19_fraenkel )
| ( ( ~ p1_s19_fraenkel(sK540,U_4554)
| U_4554 != f4_s19_fraenkel )
& p2_s19_fraenkel(sK540,U_4554) ) )
& m1_subset_1(U_4554,f2_s19_fraenkel) )
& m1_subset_1(sK540,f1_s19_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK540]),skolemize(U_4555,sK540)],[f_1637_2]) ).
fof(f_1637_4,plain,
( a_0_34_fraenkel = a_0_35_fraenkel
| ( ( ( ~ p2_s19_fraenkel(sK540,sK541)
& p1_s19_fraenkel(sK540,sK541)
& sK541 = f4_s19_fraenkel )
| ( ( ~ p1_s19_fraenkel(sK540,sK541)
| sK541 != f4_s19_fraenkel )
& p2_s19_fraenkel(sK540,sK541) ) )
& m1_subset_1(sK541,f2_s19_fraenkel)
& m1_subset_1(sK540,f1_s19_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK541]),skolemize(U_4554,sK541)],[f_1637_3]) ).
fof(f_1637_5,plain,
( ( ~ p2_s19_fraenkel(sK540,sK541)
| ~ sP752 )
& ( p1_s19_fraenkel(sK540,sK541)
| ~ sP752 )
& ( sK541 = f4_s19_fraenkel
| ~ sP752 )
& ( ~ p1_s19_fraenkel(sK540,sK541)
| sK541 != f4_s19_fraenkel
| ~ sP751 )
& ( p2_s19_fraenkel(sK540,sK541)
| ~ sP751 )
& ( sP752
| sP751
| ~ sP753 )
& ( m1_subset_1(sK541,f2_s19_fraenkel)
| ~ sP753 )
& ( m1_subset_1(sK540,f1_s19_fraenkel)
| ~ sP753 )
& ( a_0_34_fraenkel = a_0_35_fraenkel
| sP753 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP751,sP752,sP753])],[f_1637_4]) ).
cnf(f_1637_6,plain,
( a_0_34_fraenkel = a_0_35_fraenkel
| sP753 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_7,plain,
( m1_subset_1(sK540,f1_s19_fraenkel)
| ~ sP753 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_8,plain,
( m1_subset_1(sK541,f2_s19_fraenkel)
| ~ sP753 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_9,plain,
( sP752
| sP751
| ~ sP753 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_10,plain,
( p2_s19_fraenkel(sK540,sK541)
| ~ sP751 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_11,plain,
( ~ p1_s19_fraenkel(sK540,sK541)
| sK541 != f4_s19_fraenkel
| ~ sP751 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_12,plain,
( sK541 = f4_s19_fraenkel
| ~ sP752 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_13,plain,
( p1_s19_fraenkel(sK540,sK541)
| ~ sP752 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
cnf(f_1637_14,plain,
( ~ p2_s19_fraenkel(sK540,sK541)
| ~ sP752 ),
inference(clausify,[status(thm)],[f_1637_5]) ).
fof(f_1638_1,plain,
a_0_36_fraenkel = a_0_37_fraenkel,
inference(fof_nnf,[status(thm)],[s20_fraenkel]) ).
fof(f_1638_2,plain,
a_0_36_fraenkel = a_0_37_fraenkel,
inference(definitional_conversion,[status(esa)],[f_1638_1]) ).
cnf(f_1638_3,plain,
a_0_36_fraenkel = a_0_37_fraenkel,
inference(clausify,[status(thm)],[f_1638_2]) ).
fof(f_1639_1,plain,
( v1_finset_1(a_0_38_fraenkel)
| ~ v1_finset_1(f2_s21_fraenkel) ),
inference(fof_nnf,[status(thm)],[s21_fraenkel]) ).
fof(f_1639_2,plain,
( v1_finset_1(a_0_38_fraenkel)
| ~ v1_finset_1(f2_s21_fraenkel) ),
inference(definitional_conversion,[status(esa)],[f_1639_1]) ).
cnf(f_1639_3,plain,
( v1_finset_1(a_0_38_fraenkel)
| ~ v1_finset_1(f2_s21_fraenkel) ),
inference(clausify,[status(thm)],[f_1639_2]) ).
fof(f_1640_1,plain,
( v1_finset_1(a_0_39_fraenkel)
| ~ v1_finset_1(f4_s22_fraenkel)
| ~ v1_finset_1(f3_s22_fraenkel) ),
inference(fof_nnf,[status(thm)],[s22_fraenkel]) ).
fof(f_1640_2,plain,
( v1_finset_1(a_0_39_fraenkel)
| ~ v1_finset_1(f4_s22_fraenkel)
| ~ v1_finset_1(f3_s22_fraenkel) ),
inference(definitional_conversion,[status(esa)],[f_1640_1]) ).
cnf(f_1640_3,plain,
( v1_finset_1(a_0_39_fraenkel)
| ~ v1_finset_1(f4_s22_fraenkel)
| ~ v1_finset_1(f3_s22_fraenkel) ),
inference(clausify,[status(thm)],[f_1640_2]) ).
fof(f_1641_1,plain,
( v1_finset_1(a_0_40_fraenkel)
| ? [A] :
( ? [B] :
( f5_s25_fraenkel(A) != f5_s25_fraenkel(B)
& k7_relat_1(A,f3_s25_fraenkel) = k7_relat_1(B,f3_s25_fraenkel)
& m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
& m2_fraenkel(A,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ v1_finset_1(f4_s25_fraenkel)
| ~ v1_finset_1(f3_s25_fraenkel) ),
inference(fof_nnf,[status(thm)],[s25_fraenkel]) ).
fof(f_1641_2,plain,
( v1_finset_1(a_0_40_fraenkel)
| ? [U_4557] :
( ? [U_4556] :
( f5_s25_fraenkel(U_4557) != f5_s25_fraenkel(U_4556)
& k7_relat_1(U_4557,f3_s25_fraenkel) = k7_relat_1(U_4556,f3_s25_fraenkel)
& m2_fraenkel(U_4556,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
& m2_fraenkel(U_4557,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ v1_finset_1(f4_s25_fraenkel)
| ~ v1_finset_1(f3_s25_fraenkel) ),
inference(variable_rename,[status(thm)],[f_1641_1]) ).
fof(f_1641_3,plain,
( v1_finset_1(a_0_40_fraenkel)
| ( ? [U_4556] :
( f5_s25_fraenkel(sK542) != f5_s25_fraenkel(U_4556)
& k7_relat_1(sK542,f3_s25_fraenkel) = k7_relat_1(U_4556,f3_s25_fraenkel)
& m2_fraenkel(U_4556,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
& m2_fraenkel(sK542,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ v1_finset_1(f4_s25_fraenkel)
| ~ v1_finset_1(f3_s25_fraenkel) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK542]),skolemize(U_4557,sK542)],[f_1641_2]) ).
fof(f_1641_4,plain,
( v1_finset_1(a_0_40_fraenkel)
| ( f5_s25_fraenkel(sK542) != f5_s25_fraenkel(sK543)
& k7_relat_1(sK542,f3_s25_fraenkel) = k7_relat_1(sK543,f3_s25_fraenkel)
& m2_fraenkel(sK543,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
& m2_fraenkel(sK542,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ v1_finset_1(f4_s25_fraenkel)
| ~ v1_finset_1(f3_s25_fraenkel) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK543]),skolemize(U_4556,sK543)],[f_1641_3]) ).
fof(f_1641_5,plain,
( ( f5_s25_fraenkel(sK542) != f5_s25_fraenkel(sK543)
| ~ sP754 )
& ( k7_relat_1(sK542,f3_s25_fraenkel) = k7_relat_1(sK543,f3_s25_fraenkel)
| ~ sP754 )
& ( m2_fraenkel(sK543,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
| ~ sP754 )
& ( m2_fraenkel(sK542,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
| ~ sP754 )
& ( v1_finset_1(a_0_40_fraenkel)
| sP754
| ~ v1_finset_1(f4_s25_fraenkel)
| ~ v1_finset_1(f3_s25_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP754])],[f_1641_4]) ).
cnf(f_1641_6,plain,
( v1_finset_1(a_0_40_fraenkel)
| sP754
| ~ v1_finset_1(f4_s25_fraenkel)
| ~ v1_finset_1(f3_s25_fraenkel) ),
inference(clausify,[status(thm)],[f_1641_5]) ).
cnf(f_1641_7,plain,
( m2_fraenkel(sK542,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
| ~ sP754 ),
inference(clausify,[status(thm)],[f_1641_5]) ).
cnf(f_1641_8,plain,
( m2_fraenkel(sK543,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
| ~ sP754 ),
inference(clausify,[status(thm)],[f_1641_5]) ).
cnf(f_1641_9,plain,
( k7_relat_1(sK542,f3_s25_fraenkel) = k7_relat_1(sK543,f3_s25_fraenkel)
| ~ sP754 ),
inference(clausify,[status(thm)],[f_1641_5]) ).
cnf(f_1641_10,plain,
( f5_s25_fraenkel(sK542) != f5_s25_fraenkel(sK543)
| ~ sP754 ),
inference(clausify,[status(thm)],[f_1641_5]) ).
fof(f_1642_1,plain,
! [A] :
( ( r2_hidden(A,a_0_0_fraenkel)
| ! [B] :
( ~ p1_s1_fraenkel(B)
| A != f2_s1_fraenkel(B)
| ~ m1_subset_1(B,f1_s1_fraenkel) ) )
& ( ? [B] :
( p1_s1_fraenkel(B)
& A = f2_s1_fraenkel(B)
& m1_subset_1(B,f1_s1_fraenkel) )
| ~ r2_hidden(A,a_0_0_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_0_fraenkel]) ).
fof(f_1642_2,plain,
! [U_4560] :
( ( r2_hidden(U_4560,a_0_0_fraenkel)
| ! [U_4559] :
( ~ p1_s1_fraenkel(U_4559)
| U_4560 != f2_s1_fraenkel(U_4559)
| ~ m1_subset_1(U_4559,f1_s1_fraenkel) ) )
& ( ? [U_4558] :
( p1_s1_fraenkel(U_4558)
& U_4560 = f2_s1_fraenkel(U_4558)
& m1_subset_1(U_4558,f1_s1_fraenkel) )
| ~ r2_hidden(U_4560,a_0_0_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1642_1]) ).
fof(f_1642_3,plain,
( ! [U_4562] :
( r2_hidden(U_4562,a_0_0_fraenkel)
| ! [U_4559] :
( ~ p1_s1_fraenkel(U_4559)
| U_4562 != f2_s1_fraenkel(U_4559)
| ~ m1_subset_1(U_4559,f1_s1_fraenkel) ) )
& ! [U_4561] :
( ? [U_4558] :
( p1_s1_fraenkel(U_4558)
& U_4561 = f2_s1_fraenkel(U_4558)
& m1_subset_1(U_4558,f1_s1_fraenkel) )
| ~ r2_hidden(U_4561,a_0_0_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1642_2]) ).
fof(f_1642_4,plain,
( ! [U_4562] :
( r2_hidden(U_4562,a_0_0_fraenkel)
| ! [U_4559] :
( ~ p1_s1_fraenkel(U_4559)
| U_4562 != f2_s1_fraenkel(U_4559)
| ~ m1_subset_1(U_4559,f1_s1_fraenkel) ) )
& ! [U_4561] :
( ( p1_s1_fraenkel(sK544(U_4561))
& U_4561 = f2_s1_fraenkel(sK544(U_4561))
& m1_subset_1(sK544(U_4561),f1_s1_fraenkel) )
| ~ r2_hidden(U_4561,a_0_0_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK544]),skolemize(U_4558,sK544(U_4561))],[f_1642_3]) ).
fof(f_1642_5,plain,
( ! [U_4561] :
( p1_s1_fraenkel(sK544(U_4561))
| ~ sP755(U_4561) )
& ! [U_4561] :
( U_4561 = f2_s1_fraenkel(sK544(U_4561))
| ~ sP755(U_4561) )
& ! [U_4561] :
( m1_subset_1(sK544(U_4561),f1_s1_fraenkel)
| ~ sP755(U_4561) )
& ! [U_4559,U_4562] :
( r2_hidden(U_4562,a_0_0_fraenkel)
| ~ p1_s1_fraenkel(U_4559)
| U_4562 != f2_s1_fraenkel(U_4559)
| ~ m1_subset_1(U_4559,f1_s1_fraenkel) )
& ! [U_4561] :
( sP755(U_4561)
| ~ r2_hidden(U_4561,a_0_0_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP755])],[f_1642_4]) ).
cnf(f_1642_6,plain,
( sP755(U_4561)
| ~ r2_hidden(U_4561,a_0_0_fraenkel) ),
inference(clausify,[status(thm)],[f_1642_5]) ).
cnf(f_1642_7,plain,
( r2_hidden(U_4562,a_0_0_fraenkel)
| ~ p1_s1_fraenkel(U_4559)
| U_4562 != f2_s1_fraenkel(U_4559)
| ~ m1_subset_1(U_4559,f1_s1_fraenkel) ),
inference(clausify,[status(thm)],[f_1642_5]) ).
cnf(f_1642_8,plain,
( m1_subset_1(sK544(U_4561),f1_s1_fraenkel)
| ~ sP755(U_4561) ),
inference(clausify,[status(thm)],[f_1642_5]) ).
cnf(f_1642_9,plain,
( U_4561 = f2_s1_fraenkel(sK544(U_4561))
| ~ sP755(U_4561) ),
inference(clausify,[status(thm)],[f_1642_5]) ).
cnf(f_1642_10,plain,
( p1_s1_fraenkel(sK544(U_4561))
| ~ sP755(U_4561) ),
inference(clausify,[status(thm)],[f_1642_5]) ).
fof(f_1643_1,plain,
! [A] :
( ( r2_hidden(A,a_0_1_fraenkel)
| ! [B] :
( ~ p2_s1_fraenkel(B)
| A != f2_s1_fraenkel(B)
| ~ m1_subset_1(B,f1_s1_fraenkel) ) )
& ( ? [B] :
( p2_s1_fraenkel(B)
& A = f2_s1_fraenkel(B)
& m1_subset_1(B,f1_s1_fraenkel) )
| ~ r2_hidden(A,a_0_1_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_1_fraenkel]) ).
fof(f_1643_2,plain,
! [U_4565] :
( ( r2_hidden(U_4565,a_0_1_fraenkel)
| ! [U_4564] :
( ~ p2_s1_fraenkel(U_4564)
| U_4565 != f2_s1_fraenkel(U_4564)
| ~ m1_subset_1(U_4564,f1_s1_fraenkel) ) )
& ( ? [U_4563] :
( p2_s1_fraenkel(U_4563)
& U_4565 = f2_s1_fraenkel(U_4563)
& m1_subset_1(U_4563,f1_s1_fraenkel) )
| ~ r2_hidden(U_4565,a_0_1_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1643_1]) ).
fof(f_1643_3,plain,
( ! [U_4567] :
( r2_hidden(U_4567,a_0_1_fraenkel)
| ! [U_4564] :
( ~ p2_s1_fraenkel(U_4564)
| U_4567 != f2_s1_fraenkel(U_4564)
| ~ m1_subset_1(U_4564,f1_s1_fraenkel) ) )
& ! [U_4566] :
( ? [U_4563] :
( p2_s1_fraenkel(U_4563)
& U_4566 = f2_s1_fraenkel(U_4563)
& m1_subset_1(U_4563,f1_s1_fraenkel) )
| ~ r2_hidden(U_4566,a_0_1_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1643_2]) ).
fof(f_1643_4,plain,
( ! [U_4567] :
( r2_hidden(U_4567,a_0_1_fraenkel)
| ! [U_4564] :
( ~ p2_s1_fraenkel(U_4564)
| U_4567 != f2_s1_fraenkel(U_4564)
| ~ m1_subset_1(U_4564,f1_s1_fraenkel) ) )
& ! [U_4566] :
( ( p2_s1_fraenkel(sK545(U_4566))
& U_4566 = f2_s1_fraenkel(sK545(U_4566))
& m1_subset_1(sK545(U_4566),f1_s1_fraenkel) )
| ~ r2_hidden(U_4566,a_0_1_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK545]),skolemize(U_4563,sK545(U_4566))],[f_1643_3]) ).
fof(f_1643_5,plain,
( ! [U_4566] :
( p2_s1_fraenkel(sK545(U_4566))
| ~ sP756(U_4566) )
& ! [U_4566] :
( U_4566 = f2_s1_fraenkel(sK545(U_4566))
| ~ sP756(U_4566) )
& ! [U_4566] :
( m1_subset_1(sK545(U_4566),f1_s1_fraenkel)
| ~ sP756(U_4566) )
& ! [U_4567,U_4564] :
( r2_hidden(U_4567,a_0_1_fraenkel)
| ~ p2_s1_fraenkel(U_4564)
| U_4567 != f2_s1_fraenkel(U_4564)
| ~ m1_subset_1(U_4564,f1_s1_fraenkel) )
& ! [U_4566] :
( sP756(U_4566)
| ~ r2_hidden(U_4566,a_0_1_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP756])],[f_1643_4]) ).
cnf(f_1643_6,plain,
( sP756(U_4566)
| ~ r2_hidden(U_4566,a_0_1_fraenkel) ),
inference(clausify,[status(thm)],[f_1643_5]) ).
cnf(f_1643_7,plain,
( r2_hidden(U_4567,a_0_1_fraenkel)
| ~ p2_s1_fraenkel(U_4564)
| U_4567 != f2_s1_fraenkel(U_4564)
| ~ m1_subset_1(U_4564,f1_s1_fraenkel) ),
inference(clausify,[status(thm)],[f_1643_5]) ).
cnf(f_1643_8,plain,
( m1_subset_1(sK545(U_4566),f1_s1_fraenkel)
| ~ sP756(U_4566) ),
inference(clausify,[status(thm)],[f_1643_5]) ).
cnf(f_1643_9,plain,
( U_4566 = f2_s1_fraenkel(sK545(U_4566))
| ~ sP756(U_4566) ),
inference(clausify,[status(thm)],[f_1643_5]) ).
cnf(f_1643_10,plain,
( p2_s1_fraenkel(sK545(U_4566))
| ~ sP756(U_4566) ),
inference(clausify,[status(thm)],[f_1643_5]) ).
fof(f_1644_1,plain,
! [A] :
( ( r2_hidden(A,a_0_2_fraenkel)
| ! [B,C] :
( ~ p1_s2_fraenkel(B,C)
| A != f3_s2_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s2_fraenkel)
| ~ m1_subset_1(B,f1_s2_fraenkel) ) )
& ( ? [B,C] :
( p1_s2_fraenkel(B,C)
& A = f3_s2_fraenkel(B,C)
& m1_subset_1(C,f2_s2_fraenkel)
& m1_subset_1(B,f1_s2_fraenkel) )
| ~ r2_hidden(A,a_0_2_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_2_fraenkel]) ).
fof(f_1644_2,plain,
! [U_4572] :
( ( r2_hidden(U_4572,a_0_2_fraenkel)
| ! [U_4571,U_4570] :
( ~ p1_s2_fraenkel(U_4571,U_4570)
| U_4572 != f3_s2_fraenkel(U_4571,U_4570)
| ~ m1_subset_1(U_4570,f2_s2_fraenkel)
| ~ m1_subset_1(U_4571,f1_s2_fraenkel) ) )
& ( ? [U_4569,U_4568] :
( p1_s2_fraenkel(U_4569,U_4568)
& U_4572 = f3_s2_fraenkel(U_4569,U_4568)
& m1_subset_1(U_4568,f2_s2_fraenkel)
& m1_subset_1(U_4569,f1_s2_fraenkel) )
| ~ r2_hidden(U_4572,a_0_2_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1644_1]) ).
fof(f_1644_3,plain,
( ! [U_4574] :
( r2_hidden(U_4574,a_0_2_fraenkel)
| ! [U_4571] :
( ! [U_4570] :
( ~ p1_s2_fraenkel(U_4571,U_4570)
| U_4574 != f3_s2_fraenkel(U_4571,U_4570)
| ~ m1_subset_1(U_4570,f2_s2_fraenkel) )
| ~ m1_subset_1(U_4571,f1_s2_fraenkel) ) )
& ! [U_4573] :
( ? [U_4569] :
( ? [U_4568] :
( p1_s2_fraenkel(U_4569,U_4568)
& U_4573 = f3_s2_fraenkel(U_4569,U_4568)
& m1_subset_1(U_4568,f2_s2_fraenkel) )
& m1_subset_1(U_4569,f1_s2_fraenkel) )
| ~ r2_hidden(U_4573,a_0_2_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1644_2]) ).
fof(f_1644_4,plain,
( ! [U_4574] :
( r2_hidden(U_4574,a_0_2_fraenkel)
| ! [U_4571] :
( ! [U_4570] :
( ~ p1_s2_fraenkel(U_4571,U_4570)
| U_4574 != f3_s2_fraenkel(U_4571,U_4570)
| ~ m1_subset_1(U_4570,f2_s2_fraenkel) )
| ~ m1_subset_1(U_4571,f1_s2_fraenkel) ) )
& ! [U_4573] :
( ( ? [U_4568] :
( p1_s2_fraenkel(sK546(U_4573),U_4568)
& U_4573 = f3_s2_fraenkel(sK546(U_4573),U_4568)
& m1_subset_1(U_4568,f2_s2_fraenkel) )
& m1_subset_1(sK546(U_4573),f1_s2_fraenkel) )
| ~ r2_hidden(U_4573,a_0_2_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK546]),skolemize(U_4569,sK546(U_4573))],[f_1644_3]) ).
fof(f_1644_5,plain,
( ! [U_4574] :
( r2_hidden(U_4574,a_0_2_fraenkel)
| ! [U_4571] :
( ! [U_4570] :
( ~ p1_s2_fraenkel(U_4571,U_4570)
| U_4574 != f3_s2_fraenkel(U_4571,U_4570)
| ~ m1_subset_1(U_4570,f2_s2_fraenkel) )
| ~ m1_subset_1(U_4571,f1_s2_fraenkel) ) )
& ! [U_4573] :
( ( p1_s2_fraenkel(sK546(U_4573),sK547(U_4573))
& U_4573 = f3_s2_fraenkel(sK546(U_4573),sK547(U_4573))
& m1_subset_1(sK547(U_4573),f2_s2_fraenkel)
& m1_subset_1(sK546(U_4573),f1_s2_fraenkel) )
| ~ r2_hidden(U_4573,a_0_2_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK547]),skolemize(U_4568,sK547(U_4573))],[f_1644_4]) ).
fof(f_1644_6,plain,
( ! [U_4573] :
( p1_s2_fraenkel(sK546(U_4573),sK547(U_4573))
| ~ sP757(U_4573) )
& ! [U_4573] :
( U_4573 = f3_s2_fraenkel(sK546(U_4573),sK547(U_4573))
| ~ sP757(U_4573) )
& ! [U_4573] :
( m1_subset_1(sK547(U_4573),f2_s2_fraenkel)
| ~ sP757(U_4573) )
& ! [U_4573] :
( m1_subset_1(sK546(U_4573),f1_s2_fraenkel)
| ~ sP757(U_4573) )
& ! [U_4570,U_4574,U_4571] :
( r2_hidden(U_4574,a_0_2_fraenkel)
| ~ p1_s2_fraenkel(U_4571,U_4570)
| U_4574 != f3_s2_fraenkel(U_4571,U_4570)
| ~ m1_subset_1(U_4570,f2_s2_fraenkel)
| ~ m1_subset_1(U_4571,f1_s2_fraenkel) )
& ! [U_4573] :
( sP757(U_4573)
| ~ r2_hidden(U_4573,a_0_2_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP757])],[f_1644_5]) ).
cnf(f_1644_7,plain,
( sP757(U_4573)
| ~ r2_hidden(U_4573,a_0_2_fraenkel) ),
inference(clausify,[status(thm)],[f_1644_6]) ).
cnf(f_1644_8,plain,
( r2_hidden(U_4574,a_0_2_fraenkel)
| ~ p1_s2_fraenkel(U_4571,U_4570)
| U_4574 != f3_s2_fraenkel(U_4571,U_4570)
| ~ m1_subset_1(U_4570,f2_s2_fraenkel)
| ~ m1_subset_1(U_4571,f1_s2_fraenkel) ),
inference(clausify,[status(thm)],[f_1644_6]) ).
cnf(f_1644_9,plain,
( m1_subset_1(sK546(U_4573),f1_s2_fraenkel)
| ~ sP757(U_4573) ),
inference(clausify,[status(thm)],[f_1644_6]) ).
cnf(f_1644_10,plain,
( m1_subset_1(sK547(U_4573),f2_s2_fraenkel)
| ~ sP757(U_4573) ),
inference(clausify,[status(thm)],[f_1644_6]) ).
cnf(f_1644_11,plain,
( U_4573 = f3_s2_fraenkel(sK546(U_4573),sK547(U_4573))
| ~ sP757(U_4573) ),
inference(clausify,[status(thm)],[f_1644_6]) ).
cnf(f_1644_12,plain,
( p1_s2_fraenkel(sK546(U_4573),sK547(U_4573))
| ~ sP757(U_4573) ),
inference(clausify,[status(thm)],[f_1644_6]) ).
fof(f_1645_1,plain,
! [A] :
( ( r2_hidden(A,a_0_3_fraenkel)
| ! [B,C] :
( ~ p2_s2_fraenkel(B,C)
| A != f3_s2_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s2_fraenkel)
| ~ m1_subset_1(B,f1_s2_fraenkel) ) )
& ( ? [B,C] :
( p2_s2_fraenkel(B,C)
& A = f3_s2_fraenkel(B,C)
& m1_subset_1(C,f2_s2_fraenkel)
& m1_subset_1(B,f1_s2_fraenkel) )
| ~ r2_hidden(A,a_0_3_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_3_fraenkel]) ).
fof(f_1645_2,plain,
! [U_4579] :
( ( r2_hidden(U_4579,a_0_3_fraenkel)
| ! [U_4578,U_4577] :
( ~ p2_s2_fraenkel(U_4578,U_4577)
| U_4579 != f3_s2_fraenkel(U_4578,U_4577)
| ~ m1_subset_1(U_4577,f2_s2_fraenkel)
| ~ m1_subset_1(U_4578,f1_s2_fraenkel) ) )
& ( ? [U_4576,U_4575] :
( p2_s2_fraenkel(U_4576,U_4575)
& U_4579 = f3_s2_fraenkel(U_4576,U_4575)
& m1_subset_1(U_4575,f2_s2_fraenkel)
& m1_subset_1(U_4576,f1_s2_fraenkel) )
| ~ r2_hidden(U_4579,a_0_3_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1645_1]) ).
fof(f_1645_3,plain,
( ! [U_4581] :
( r2_hidden(U_4581,a_0_3_fraenkel)
| ! [U_4578] :
( ! [U_4577] :
( ~ p2_s2_fraenkel(U_4578,U_4577)
| U_4581 != f3_s2_fraenkel(U_4578,U_4577)
| ~ m1_subset_1(U_4577,f2_s2_fraenkel) )
| ~ m1_subset_1(U_4578,f1_s2_fraenkel) ) )
& ! [U_4580] :
( ? [U_4576] :
( ? [U_4575] :
( p2_s2_fraenkel(U_4576,U_4575)
& U_4580 = f3_s2_fraenkel(U_4576,U_4575)
& m1_subset_1(U_4575,f2_s2_fraenkel) )
& m1_subset_1(U_4576,f1_s2_fraenkel) )
| ~ r2_hidden(U_4580,a_0_3_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1645_2]) ).
fof(f_1645_4,plain,
( ! [U_4581] :
( r2_hidden(U_4581,a_0_3_fraenkel)
| ! [U_4578] :
( ! [U_4577] :
( ~ p2_s2_fraenkel(U_4578,U_4577)
| U_4581 != f3_s2_fraenkel(U_4578,U_4577)
| ~ m1_subset_1(U_4577,f2_s2_fraenkel) )
| ~ m1_subset_1(U_4578,f1_s2_fraenkel) ) )
& ! [U_4580] :
( ( ? [U_4575] :
( p2_s2_fraenkel(sK548(U_4580),U_4575)
& U_4580 = f3_s2_fraenkel(sK548(U_4580),U_4575)
& m1_subset_1(U_4575,f2_s2_fraenkel) )
& m1_subset_1(sK548(U_4580),f1_s2_fraenkel) )
| ~ r2_hidden(U_4580,a_0_3_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK548]),skolemize(U_4576,sK548(U_4580))],[f_1645_3]) ).
fof(f_1645_5,plain,
( ! [U_4581] :
( r2_hidden(U_4581,a_0_3_fraenkel)
| ! [U_4578] :
( ! [U_4577] :
( ~ p2_s2_fraenkel(U_4578,U_4577)
| U_4581 != f3_s2_fraenkel(U_4578,U_4577)
| ~ m1_subset_1(U_4577,f2_s2_fraenkel) )
| ~ m1_subset_1(U_4578,f1_s2_fraenkel) ) )
& ! [U_4580] :
( ( p2_s2_fraenkel(sK548(U_4580),sK549(U_4580))
& U_4580 = f3_s2_fraenkel(sK548(U_4580),sK549(U_4580))
& m1_subset_1(sK549(U_4580),f2_s2_fraenkel)
& m1_subset_1(sK548(U_4580),f1_s2_fraenkel) )
| ~ r2_hidden(U_4580,a_0_3_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK549]),skolemize(U_4575,sK549(U_4580))],[f_1645_4]) ).
fof(f_1645_6,plain,
( ! [U_4580] :
( p2_s2_fraenkel(sK548(U_4580),sK549(U_4580))
| ~ sP758(U_4580) )
& ! [U_4580] :
( U_4580 = f3_s2_fraenkel(sK548(U_4580),sK549(U_4580))
| ~ sP758(U_4580) )
& ! [U_4580] :
( m1_subset_1(sK549(U_4580),f2_s2_fraenkel)
| ~ sP758(U_4580) )
& ! [U_4580] :
( m1_subset_1(sK548(U_4580),f1_s2_fraenkel)
| ~ sP758(U_4580) )
& ! [U_4577,U_4581,U_4578] :
( r2_hidden(U_4581,a_0_3_fraenkel)
| ~ p2_s2_fraenkel(U_4578,U_4577)
| U_4581 != f3_s2_fraenkel(U_4578,U_4577)
| ~ m1_subset_1(U_4577,f2_s2_fraenkel)
| ~ m1_subset_1(U_4578,f1_s2_fraenkel) )
& ! [U_4580] :
( sP758(U_4580)
| ~ r2_hidden(U_4580,a_0_3_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP758])],[f_1645_5]) ).
cnf(f_1645_7,plain,
( sP758(U_4580)
| ~ r2_hidden(U_4580,a_0_3_fraenkel) ),
inference(clausify,[status(thm)],[f_1645_6]) ).
cnf(f_1645_8,plain,
( r2_hidden(U_4581,a_0_3_fraenkel)
| ~ p2_s2_fraenkel(U_4578,U_4577)
| U_4581 != f3_s2_fraenkel(U_4578,U_4577)
| ~ m1_subset_1(U_4577,f2_s2_fraenkel)
| ~ m1_subset_1(U_4578,f1_s2_fraenkel) ),
inference(clausify,[status(thm)],[f_1645_6]) ).
cnf(f_1645_9,plain,
( m1_subset_1(sK548(U_4580),f1_s2_fraenkel)
| ~ sP758(U_4580) ),
inference(clausify,[status(thm)],[f_1645_6]) ).
cnf(f_1645_10,plain,
( m1_subset_1(sK549(U_4580),f2_s2_fraenkel)
| ~ sP758(U_4580) ),
inference(clausify,[status(thm)],[f_1645_6]) ).
cnf(f_1645_11,plain,
( U_4580 = f3_s2_fraenkel(sK548(U_4580),sK549(U_4580))
| ~ sP758(U_4580) ),
inference(clausify,[status(thm)],[f_1645_6]) ).
cnf(f_1645_12,plain,
( p2_s2_fraenkel(sK548(U_4580),sK549(U_4580))
| ~ sP758(U_4580) ),
inference(clausify,[status(thm)],[f_1645_6]) ).
fof(f_1646_1,plain,
! [A] :
( ( r2_hidden(A,a_0_4_fraenkel)
| ! [B] :
( ~ p1_s3_fraenkel(B)
| A != f2_s3_fraenkel(B)
| ~ m1_subset_1(B,f1_s3_fraenkel) ) )
& ( ? [B] :
( p1_s3_fraenkel(B)
& A = f2_s3_fraenkel(B)
& m1_subset_1(B,f1_s3_fraenkel) )
| ~ r2_hidden(A,a_0_4_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_4_fraenkel]) ).
fof(f_1646_2,plain,
! [U_4584] :
( ( r2_hidden(U_4584,a_0_4_fraenkel)
| ! [U_4583] :
( ~ p1_s3_fraenkel(U_4583)
| U_4584 != f2_s3_fraenkel(U_4583)
| ~ m1_subset_1(U_4583,f1_s3_fraenkel) ) )
& ( ? [U_4582] :
( p1_s3_fraenkel(U_4582)
& U_4584 = f2_s3_fraenkel(U_4582)
& m1_subset_1(U_4582,f1_s3_fraenkel) )
| ~ r2_hidden(U_4584,a_0_4_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1646_1]) ).
fof(f_1646_3,plain,
( ! [U_4586] :
( r2_hidden(U_4586,a_0_4_fraenkel)
| ! [U_4583] :
( ~ p1_s3_fraenkel(U_4583)
| U_4586 != f2_s3_fraenkel(U_4583)
| ~ m1_subset_1(U_4583,f1_s3_fraenkel) ) )
& ! [U_4585] :
( ? [U_4582] :
( p1_s3_fraenkel(U_4582)
& U_4585 = f2_s3_fraenkel(U_4582)
& m1_subset_1(U_4582,f1_s3_fraenkel) )
| ~ r2_hidden(U_4585,a_0_4_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1646_2]) ).
fof(f_1646_4,plain,
( ! [U_4586] :
( r2_hidden(U_4586,a_0_4_fraenkel)
| ! [U_4583] :
( ~ p1_s3_fraenkel(U_4583)
| U_4586 != f2_s3_fraenkel(U_4583)
| ~ m1_subset_1(U_4583,f1_s3_fraenkel) ) )
& ! [U_4585] :
( ( p1_s3_fraenkel(sK550(U_4585))
& U_4585 = f2_s3_fraenkel(sK550(U_4585))
& m1_subset_1(sK550(U_4585),f1_s3_fraenkel) )
| ~ r2_hidden(U_4585,a_0_4_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK550]),skolemize(U_4582,sK550(U_4585))],[f_1646_3]) ).
fof(f_1646_5,plain,
( ! [U_4585] :
( p1_s3_fraenkel(sK550(U_4585))
| ~ sP759(U_4585) )
& ! [U_4585] :
( U_4585 = f2_s3_fraenkel(sK550(U_4585))
| ~ sP759(U_4585) )
& ! [U_4585] :
( m1_subset_1(sK550(U_4585),f1_s3_fraenkel)
| ~ sP759(U_4585) )
& ! [U_4586,U_4583] :
( r2_hidden(U_4586,a_0_4_fraenkel)
| ~ p1_s3_fraenkel(U_4583)
| U_4586 != f2_s3_fraenkel(U_4583)
| ~ m1_subset_1(U_4583,f1_s3_fraenkel) )
& ! [U_4585] :
( sP759(U_4585)
| ~ r2_hidden(U_4585,a_0_4_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP759])],[f_1646_4]) ).
cnf(f_1646_6,plain,
( sP759(U_4585)
| ~ r2_hidden(U_4585,a_0_4_fraenkel) ),
inference(clausify,[status(thm)],[f_1646_5]) ).
cnf(f_1646_7,plain,
( r2_hidden(U_4586,a_0_4_fraenkel)
| ~ p1_s3_fraenkel(U_4583)
| U_4586 != f2_s3_fraenkel(U_4583)
| ~ m1_subset_1(U_4583,f1_s3_fraenkel) ),
inference(clausify,[status(thm)],[f_1646_5]) ).
cnf(f_1646_8,plain,
( m1_subset_1(sK550(U_4585),f1_s3_fraenkel)
| ~ sP759(U_4585) ),
inference(clausify,[status(thm)],[f_1646_5]) ).
cnf(f_1646_9,plain,
( U_4585 = f2_s3_fraenkel(sK550(U_4585))
| ~ sP759(U_4585) ),
inference(clausify,[status(thm)],[f_1646_5]) ).
cnf(f_1646_10,plain,
( p1_s3_fraenkel(sK550(U_4585))
| ~ sP759(U_4585) ),
inference(clausify,[status(thm)],[f_1646_5]) ).
fof(f_1647_1,plain,
! [A] :
( ( r2_hidden(A,a_0_5_fraenkel)
| ! [B] :
( ~ p2_s3_fraenkel(B)
| A != f2_s3_fraenkel(B)
| ~ m1_subset_1(B,f1_s3_fraenkel) ) )
& ( ? [B] :
( p2_s3_fraenkel(B)
& A = f2_s3_fraenkel(B)
& m1_subset_1(B,f1_s3_fraenkel) )
| ~ r2_hidden(A,a_0_5_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_5_fraenkel]) ).
fof(f_1647_2,plain,
! [U_4589] :
( ( r2_hidden(U_4589,a_0_5_fraenkel)
| ! [U_4588] :
( ~ p2_s3_fraenkel(U_4588)
| U_4589 != f2_s3_fraenkel(U_4588)
| ~ m1_subset_1(U_4588,f1_s3_fraenkel) ) )
& ( ? [U_4587] :
( p2_s3_fraenkel(U_4587)
& U_4589 = f2_s3_fraenkel(U_4587)
& m1_subset_1(U_4587,f1_s3_fraenkel) )
| ~ r2_hidden(U_4589,a_0_5_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1647_1]) ).
fof(f_1647_3,plain,
( ! [U_4591] :
( r2_hidden(U_4591,a_0_5_fraenkel)
| ! [U_4588] :
( ~ p2_s3_fraenkel(U_4588)
| U_4591 != f2_s3_fraenkel(U_4588)
| ~ m1_subset_1(U_4588,f1_s3_fraenkel) ) )
& ! [U_4590] :
( ? [U_4587] :
( p2_s3_fraenkel(U_4587)
& U_4590 = f2_s3_fraenkel(U_4587)
& m1_subset_1(U_4587,f1_s3_fraenkel) )
| ~ r2_hidden(U_4590,a_0_5_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1647_2]) ).
fof(f_1647_4,plain,
( ! [U_4591] :
( r2_hidden(U_4591,a_0_5_fraenkel)
| ! [U_4588] :
( ~ p2_s3_fraenkel(U_4588)
| U_4591 != f2_s3_fraenkel(U_4588)
| ~ m1_subset_1(U_4588,f1_s3_fraenkel) ) )
& ! [U_4590] :
( ( p2_s3_fraenkel(sK551(U_4590))
& U_4590 = f2_s3_fraenkel(sK551(U_4590))
& m1_subset_1(sK551(U_4590),f1_s3_fraenkel) )
| ~ r2_hidden(U_4590,a_0_5_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK551]),skolemize(U_4587,sK551(U_4590))],[f_1647_3]) ).
fof(f_1647_5,plain,
( ! [U_4590] :
( p2_s3_fraenkel(sK551(U_4590))
| ~ sP760(U_4590) )
& ! [U_4590] :
( U_4590 = f2_s3_fraenkel(sK551(U_4590))
| ~ sP760(U_4590) )
& ! [U_4590] :
( m1_subset_1(sK551(U_4590),f1_s3_fraenkel)
| ~ sP760(U_4590) )
& ! [U_4588,U_4591] :
( r2_hidden(U_4591,a_0_5_fraenkel)
| ~ p2_s3_fraenkel(U_4588)
| U_4591 != f2_s3_fraenkel(U_4588)
| ~ m1_subset_1(U_4588,f1_s3_fraenkel) )
& ! [U_4590] :
( sP760(U_4590)
| ~ r2_hidden(U_4590,a_0_5_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP760])],[f_1647_4]) ).
cnf(f_1647_6,plain,
( sP760(U_4590)
| ~ r2_hidden(U_4590,a_0_5_fraenkel) ),
inference(clausify,[status(thm)],[f_1647_5]) ).
cnf(f_1647_7,plain,
( r2_hidden(U_4591,a_0_5_fraenkel)
| ~ p2_s3_fraenkel(U_4588)
| U_4591 != f2_s3_fraenkel(U_4588)
| ~ m1_subset_1(U_4588,f1_s3_fraenkel) ),
inference(clausify,[status(thm)],[f_1647_5]) ).
cnf(f_1647_8,plain,
( m1_subset_1(sK551(U_4590),f1_s3_fraenkel)
| ~ sP760(U_4590) ),
inference(clausify,[status(thm)],[f_1647_5]) ).
cnf(f_1647_9,plain,
( U_4590 = f2_s3_fraenkel(sK551(U_4590))
| ~ sP760(U_4590) ),
inference(clausify,[status(thm)],[f_1647_5]) ).
cnf(f_1647_10,plain,
( p2_s3_fraenkel(sK551(U_4590))
| ~ sP760(U_4590) ),
inference(clausify,[status(thm)],[f_1647_5]) ).
fof(f_1648_1,plain,
! [A] :
( ( r2_hidden(A,a_0_6_fraenkel)
| ! [B,C] :
( ~ p1_s4_fraenkel(B,C)
| A != f3_s4_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s4_fraenkel)
| ~ m1_subset_1(B,f1_s4_fraenkel) ) )
& ( ? [B,C] :
( p1_s4_fraenkel(B,C)
& A = f3_s4_fraenkel(B,C)
& m1_subset_1(C,f2_s4_fraenkel)
& m1_subset_1(B,f1_s4_fraenkel) )
| ~ r2_hidden(A,a_0_6_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_6_fraenkel]) ).
fof(f_1648_2,plain,
! [U_4596] :
( ( r2_hidden(U_4596,a_0_6_fraenkel)
| ! [U_4595,U_4594] :
( ~ p1_s4_fraenkel(U_4595,U_4594)
| U_4596 != f3_s4_fraenkel(U_4595,U_4594)
| ~ m1_subset_1(U_4594,f2_s4_fraenkel)
| ~ m1_subset_1(U_4595,f1_s4_fraenkel) ) )
& ( ? [U_4593,U_4592] :
( p1_s4_fraenkel(U_4593,U_4592)
& U_4596 = f3_s4_fraenkel(U_4593,U_4592)
& m1_subset_1(U_4592,f2_s4_fraenkel)
& m1_subset_1(U_4593,f1_s4_fraenkel) )
| ~ r2_hidden(U_4596,a_0_6_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1648_1]) ).
fof(f_1648_3,plain,
( ! [U_4598] :
( r2_hidden(U_4598,a_0_6_fraenkel)
| ! [U_4595] :
( ! [U_4594] :
( ~ p1_s4_fraenkel(U_4595,U_4594)
| U_4598 != f3_s4_fraenkel(U_4595,U_4594)
| ~ m1_subset_1(U_4594,f2_s4_fraenkel) )
| ~ m1_subset_1(U_4595,f1_s4_fraenkel) ) )
& ! [U_4597] :
( ? [U_4593] :
( ? [U_4592] :
( p1_s4_fraenkel(U_4593,U_4592)
& U_4597 = f3_s4_fraenkel(U_4593,U_4592)
& m1_subset_1(U_4592,f2_s4_fraenkel) )
& m1_subset_1(U_4593,f1_s4_fraenkel) )
| ~ r2_hidden(U_4597,a_0_6_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1648_2]) ).
fof(f_1648_4,plain,
( ! [U_4598] :
( r2_hidden(U_4598,a_0_6_fraenkel)
| ! [U_4595] :
( ! [U_4594] :
( ~ p1_s4_fraenkel(U_4595,U_4594)
| U_4598 != f3_s4_fraenkel(U_4595,U_4594)
| ~ m1_subset_1(U_4594,f2_s4_fraenkel) )
| ~ m1_subset_1(U_4595,f1_s4_fraenkel) ) )
& ! [U_4597] :
( ( ? [U_4592] :
( p1_s4_fraenkel(sK552(U_4597),U_4592)
& U_4597 = f3_s4_fraenkel(sK552(U_4597),U_4592)
& m1_subset_1(U_4592,f2_s4_fraenkel) )
& m1_subset_1(sK552(U_4597),f1_s4_fraenkel) )
| ~ r2_hidden(U_4597,a_0_6_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK552]),skolemize(U_4593,sK552(U_4597))],[f_1648_3]) ).
fof(f_1648_5,plain,
( ! [U_4598] :
( r2_hidden(U_4598,a_0_6_fraenkel)
| ! [U_4595] :
( ! [U_4594] :
( ~ p1_s4_fraenkel(U_4595,U_4594)
| U_4598 != f3_s4_fraenkel(U_4595,U_4594)
| ~ m1_subset_1(U_4594,f2_s4_fraenkel) )
| ~ m1_subset_1(U_4595,f1_s4_fraenkel) ) )
& ! [U_4597] :
( ( p1_s4_fraenkel(sK552(U_4597),sK553(U_4597))
& U_4597 = f3_s4_fraenkel(sK552(U_4597),sK553(U_4597))
& m1_subset_1(sK553(U_4597),f2_s4_fraenkel)
& m1_subset_1(sK552(U_4597),f1_s4_fraenkel) )
| ~ r2_hidden(U_4597,a_0_6_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK553]),skolemize(U_4592,sK553(U_4597))],[f_1648_4]) ).
fof(f_1648_6,plain,
( ! [U_4597] :
( p1_s4_fraenkel(sK552(U_4597),sK553(U_4597))
| ~ sP761(U_4597) )
& ! [U_4597] :
( U_4597 = f3_s4_fraenkel(sK552(U_4597),sK553(U_4597))
| ~ sP761(U_4597) )
& ! [U_4597] :
( m1_subset_1(sK553(U_4597),f2_s4_fraenkel)
| ~ sP761(U_4597) )
& ! [U_4597] :
( m1_subset_1(sK552(U_4597),f1_s4_fraenkel)
| ~ sP761(U_4597) )
& ! [U_4595,U_4594,U_4598] :
( r2_hidden(U_4598,a_0_6_fraenkel)
| ~ p1_s4_fraenkel(U_4595,U_4594)
| U_4598 != f3_s4_fraenkel(U_4595,U_4594)
| ~ m1_subset_1(U_4594,f2_s4_fraenkel)
| ~ m1_subset_1(U_4595,f1_s4_fraenkel) )
& ! [U_4597] :
( sP761(U_4597)
| ~ r2_hidden(U_4597,a_0_6_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP761])],[f_1648_5]) ).
cnf(f_1648_7,plain,
( sP761(U_4597)
| ~ r2_hidden(U_4597,a_0_6_fraenkel) ),
inference(clausify,[status(thm)],[f_1648_6]) ).
cnf(f_1648_8,plain,
( r2_hidden(U_4598,a_0_6_fraenkel)
| ~ p1_s4_fraenkel(U_4595,U_4594)
| U_4598 != f3_s4_fraenkel(U_4595,U_4594)
| ~ m1_subset_1(U_4594,f2_s4_fraenkel)
| ~ m1_subset_1(U_4595,f1_s4_fraenkel) ),
inference(clausify,[status(thm)],[f_1648_6]) ).
cnf(f_1648_9,plain,
( m1_subset_1(sK552(U_4597),f1_s4_fraenkel)
| ~ sP761(U_4597) ),
inference(clausify,[status(thm)],[f_1648_6]) ).
cnf(f_1648_10,plain,
( m1_subset_1(sK553(U_4597),f2_s4_fraenkel)
| ~ sP761(U_4597) ),
inference(clausify,[status(thm)],[f_1648_6]) ).
cnf(f_1648_11,plain,
( U_4597 = f3_s4_fraenkel(sK552(U_4597),sK553(U_4597))
| ~ sP761(U_4597) ),
inference(clausify,[status(thm)],[f_1648_6]) ).
cnf(f_1648_12,plain,
( p1_s4_fraenkel(sK552(U_4597),sK553(U_4597))
| ~ sP761(U_4597) ),
inference(clausify,[status(thm)],[f_1648_6]) ).
fof(f_1649_1,plain,
! [A] :
( ( r2_hidden(A,a_0_7_fraenkel)
| ! [B,C] :
( ~ p2_s4_fraenkel(B,C)
| A != f3_s4_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s4_fraenkel)
| ~ m1_subset_1(B,f1_s4_fraenkel) ) )
& ( ? [B,C] :
( p2_s4_fraenkel(B,C)
& A = f3_s4_fraenkel(B,C)
& m1_subset_1(C,f2_s4_fraenkel)
& m1_subset_1(B,f1_s4_fraenkel) )
| ~ r2_hidden(A,a_0_7_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_7_fraenkel]) ).
fof(f_1649_2,plain,
! [U_4603] :
( ( r2_hidden(U_4603,a_0_7_fraenkel)
| ! [U_4602,U_4601] :
( ~ p2_s4_fraenkel(U_4602,U_4601)
| U_4603 != f3_s4_fraenkel(U_4602,U_4601)
| ~ m1_subset_1(U_4601,f2_s4_fraenkel)
| ~ m1_subset_1(U_4602,f1_s4_fraenkel) ) )
& ( ? [U_4600,U_4599] :
( p2_s4_fraenkel(U_4600,U_4599)
& U_4603 = f3_s4_fraenkel(U_4600,U_4599)
& m1_subset_1(U_4599,f2_s4_fraenkel)
& m1_subset_1(U_4600,f1_s4_fraenkel) )
| ~ r2_hidden(U_4603,a_0_7_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1649_1]) ).
fof(f_1649_3,plain,
( ! [U_4605] :
( r2_hidden(U_4605,a_0_7_fraenkel)
| ! [U_4602] :
( ! [U_4601] :
( ~ p2_s4_fraenkel(U_4602,U_4601)
| U_4605 != f3_s4_fraenkel(U_4602,U_4601)
| ~ m1_subset_1(U_4601,f2_s4_fraenkel) )
| ~ m1_subset_1(U_4602,f1_s4_fraenkel) ) )
& ! [U_4604] :
( ? [U_4600] :
( ? [U_4599] :
( p2_s4_fraenkel(U_4600,U_4599)
& U_4604 = f3_s4_fraenkel(U_4600,U_4599)
& m1_subset_1(U_4599,f2_s4_fraenkel) )
& m1_subset_1(U_4600,f1_s4_fraenkel) )
| ~ r2_hidden(U_4604,a_0_7_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1649_2]) ).
fof(f_1649_4,plain,
( ! [U_4605] :
( r2_hidden(U_4605,a_0_7_fraenkel)
| ! [U_4602] :
( ! [U_4601] :
( ~ p2_s4_fraenkel(U_4602,U_4601)
| U_4605 != f3_s4_fraenkel(U_4602,U_4601)
| ~ m1_subset_1(U_4601,f2_s4_fraenkel) )
| ~ m1_subset_1(U_4602,f1_s4_fraenkel) ) )
& ! [U_4604] :
( ( ? [U_4599] :
( p2_s4_fraenkel(sK554(U_4604),U_4599)
& U_4604 = f3_s4_fraenkel(sK554(U_4604),U_4599)
& m1_subset_1(U_4599,f2_s4_fraenkel) )
& m1_subset_1(sK554(U_4604),f1_s4_fraenkel) )
| ~ r2_hidden(U_4604,a_0_7_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK554]),skolemize(U_4600,sK554(U_4604))],[f_1649_3]) ).
fof(f_1649_5,plain,
( ! [U_4605] :
( r2_hidden(U_4605,a_0_7_fraenkel)
| ! [U_4602] :
( ! [U_4601] :
( ~ p2_s4_fraenkel(U_4602,U_4601)
| U_4605 != f3_s4_fraenkel(U_4602,U_4601)
| ~ m1_subset_1(U_4601,f2_s4_fraenkel) )
| ~ m1_subset_1(U_4602,f1_s4_fraenkel) ) )
& ! [U_4604] :
( ( p2_s4_fraenkel(sK554(U_4604),sK555(U_4604))
& U_4604 = f3_s4_fraenkel(sK554(U_4604),sK555(U_4604))
& m1_subset_1(sK555(U_4604),f2_s4_fraenkel)
& m1_subset_1(sK554(U_4604),f1_s4_fraenkel) )
| ~ r2_hidden(U_4604,a_0_7_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK555]),skolemize(U_4599,sK555(U_4604))],[f_1649_4]) ).
fof(f_1649_6,plain,
( ! [U_4604] :
( p2_s4_fraenkel(sK554(U_4604),sK555(U_4604))
| ~ sP762(U_4604) )
& ! [U_4604] :
( U_4604 = f3_s4_fraenkel(sK554(U_4604),sK555(U_4604))
| ~ sP762(U_4604) )
& ! [U_4604] :
( m1_subset_1(sK555(U_4604),f2_s4_fraenkel)
| ~ sP762(U_4604) )
& ! [U_4604] :
( m1_subset_1(sK554(U_4604),f1_s4_fraenkel)
| ~ sP762(U_4604) )
& ! [U_4602,U_4605,U_4601] :
( r2_hidden(U_4605,a_0_7_fraenkel)
| ~ p2_s4_fraenkel(U_4602,U_4601)
| U_4605 != f3_s4_fraenkel(U_4602,U_4601)
| ~ m1_subset_1(U_4601,f2_s4_fraenkel)
| ~ m1_subset_1(U_4602,f1_s4_fraenkel) )
& ! [U_4604] :
( sP762(U_4604)
| ~ r2_hidden(U_4604,a_0_7_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP762])],[f_1649_5]) ).
cnf(f_1649_7,plain,
( sP762(U_4604)
| ~ r2_hidden(U_4604,a_0_7_fraenkel) ),
inference(clausify,[status(thm)],[f_1649_6]) ).
cnf(f_1649_8,plain,
( r2_hidden(U_4605,a_0_7_fraenkel)
| ~ p2_s4_fraenkel(U_4602,U_4601)
| U_4605 != f3_s4_fraenkel(U_4602,U_4601)
| ~ m1_subset_1(U_4601,f2_s4_fraenkel)
| ~ m1_subset_1(U_4602,f1_s4_fraenkel) ),
inference(clausify,[status(thm)],[f_1649_6]) ).
cnf(f_1649_9,plain,
( m1_subset_1(sK554(U_4604),f1_s4_fraenkel)
| ~ sP762(U_4604) ),
inference(clausify,[status(thm)],[f_1649_6]) ).
cnf(f_1649_10,plain,
( m1_subset_1(sK555(U_4604),f2_s4_fraenkel)
| ~ sP762(U_4604) ),
inference(clausify,[status(thm)],[f_1649_6]) ).
cnf(f_1649_11,plain,
( U_4604 = f3_s4_fraenkel(sK554(U_4604),sK555(U_4604))
| ~ sP762(U_4604) ),
inference(clausify,[status(thm)],[f_1649_6]) ).
cnf(f_1649_12,plain,
( p2_s4_fraenkel(sK554(U_4604),sK555(U_4604))
| ~ sP762(U_4604) ),
inference(clausify,[status(thm)],[f_1649_6]) ).
fof(f_1650_1,plain,
! [A] :
( ( r2_hidden(A,a_0_8_fraenkel)
| ! [B] :
( ~ p1_s5_fraenkel(B)
| A != f2_s5_fraenkel(B)
| ~ m1_subset_1(B,f1_s5_fraenkel) ) )
& ( ? [B] :
( p1_s5_fraenkel(B)
& A = f2_s5_fraenkel(B)
& m1_subset_1(B,f1_s5_fraenkel) )
| ~ r2_hidden(A,a_0_8_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_8_fraenkel]) ).
fof(f_1650_2,plain,
! [U_4608] :
( ( r2_hidden(U_4608,a_0_8_fraenkel)
| ! [U_4607] :
( ~ p1_s5_fraenkel(U_4607)
| U_4608 != f2_s5_fraenkel(U_4607)
| ~ m1_subset_1(U_4607,f1_s5_fraenkel) ) )
& ( ? [U_4606] :
( p1_s5_fraenkel(U_4606)
& U_4608 = f2_s5_fraenkel(U_4606)
& m1_subset_1(U_4606,f1_s5_fraenkel) )
| ~ r2_hidden(U_4608,a_0_8_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1650_1]) ).
fof(f_1650_3,plain,
( ! [U_4610] :
( r2_hidden(U_4610,a_0_8_fraenkel)
| ! [U_4607] :
( ~ p1_s5_fraenkel(U_4607)
| U_4610 != f2_s5_fraenkel(U_4607)
| ~ m1_subset_1(U_4607,f1_s5_fraenkel) ) )
& ! [U_4609] :
( ? [U_4606] :
( p1_s5_fraenkel(U_4606)
& U_4609 = f2_s5_fraenkel(U_4606)
& m1_subset_1(U_4606,f1_s5_fraenkel) )
| ~ r2_hidden(U_4609,a_0_8_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1650_2]) ).
fof(f_1650_4,plain,
( ! [U_4610] :
( r2_hidden(U_4610,a_0_8_fraenkel)
| ! [U_4607] :
( ~ p1_s5_fraenkel(U_4607)
| U_4610 != f2_s5_fraenkel(U_4607)
| ~ m1_subset_1(U_4607,f1_s5_fraenkel) ) )
& ! [U_4609] :
( ( p1_s5_fraenkel(sK556(U_4609))
& U_4609 = f2_s5_fraenkel(sK556(U_4609))
& m1_subset_1(sK556(U_4609),f1_s5_fraenkel) )
| ~ r2_hidden(U_4609,a_0_8_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK556]),skolemize(U_4606,sK556(U_4609))],[f_1650_3]) ).
fof(f_1650_5,plain,
( ! [U_4609] :
( p1_s5_fraenkel(sK556(U_4609))
| ~ sP763(U_4609) )
& ! [U_4609] :
( U_4609 = f2_s5_fraenkel(sK556(U_4609))
| ~ sP763(U_4609) )
& ! [U_4609] :
( m1_subset_1(sK556(U_4609),f1_s5_fraenkel)
| ~ sP763(U_4609) )
& ! [U_4610,U_4607] :
( r2_hidden(U_4610,a_0_8_fraenkel)
| ~ p1_s5_fraenkel(U_4607)
| U_4610 != f2_s5_fraenkel(U_4607)
| ~ m1_subset_1(U_4607,f1_s5_fraenkel) )
& ! [U_4609] :
( sP763(U_4609)
| ~ r2_hidden(U_4609,a_0_8_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP763])],[f_1650_4]) ).
cnf(f_1650_6,plain,
( sP763(U_4609)
| ~ r2_hidden(U_4609,a_0_8_fraenkel) ),
inference(clausify,[status(thm)],[f_1650_5]) ).
cnf(f_1650_7,plain,
( r2_hidden(U_4610,a_0_8_fraenkel)
| ~ p1_s5_fraenkel(U_4607)
| U_4610 != f2_s5_fraenkel(U_4607)
| ~ m1_subset_1(U_4607,f1_s5_fraenkel) ),
inference(clausify,[status(thm)],[f_1650_5]) ).
cnf(f_1650_8,plain,
( m1_subset_1(sK556(U_4609),f1_s5_fraenkel)
| ~ sP763(U_4609) ),
inference(clausify,[status(thm)],[f_1650_5]) ).
cnf(f_1650_9,plain,
( U_4609 = f2_s5_fraenkel(sK556(U_4609))
| ~ sP763(U_4609) ),
inference(clausify,[status(thm)],[f_1650_5]) ).
cnf(f_1650_10,plain,
( p1_s5_fraenkel(sK556(U_4609))
| ~ sP763(U_4609) ),
inference(clausify,[status(thm)],[f_1650_5]) ).
fof(f_1651_1,plain,
! [A] :
( ( r2_hidden(A,a_0_9_fraenkel)
| ! [B] :
( ~ p1_s5_fraenkel(B)
| A != f3_s5_fraenkel(B)
| ~ m1_subset_1(B,f1_s5_fraenkel) ) )
& ( ? [B] :
( p1_s5_fraenkel(B)
& A = f3_s5_fraenkel(B)
& m1_subset_1(B,f1_s5_fraenkel) )
| ~ r2_hidden(A,a_0_9_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_9_fraenkel]) ).
fof(f_1651_2,plain,
! [U_4613] :
( ( r2_hidden(U_4613,a_0_9_fraenkel)
| ! [U_4612] :
( ~ p1_s5_fraenkel(U_4612)
| U_4613 != f3_s5_fraenkel(U_4612)
| ~ m1_subset_1(U_4612,f1_s5_fraenkel) ) )
& ( ? [U_4611] :
( p1_s5_fraenkel(U_4611)
& U_4613 = f3_s5_fraenkel(U_4611)
& m1_subset_1(U_4611,f1_s5_fraenkel) )
| ~ r2_hidden(U_4613,a_0_9_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1651_1]) ).
fof(f_1651_3,plain,
( ! [U_4615] :
( r2_hidden(U_4615,a_0_9_fraenkel)
| ! [U_4612] :
( ~ p1_s5_fraenkel(U_4612)
| U_4615 != f3_s5_fraenkel(U_4612)
| ~ m1_subset_1(U_4612,f1_s5_fraenkel) ) )
& ! [U_4614] :
( ? [U_4611] :
( p1_s5_fraenkel(U_4611)
& U_4614 = f3_s5_fraenkel(U_4611)
& m1_subset_1(U_4611,f1_s5_fraenkel) )
| ~ r2_hidden(U_4614,a_0_9_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1651_2]) ).
fof(f_1651_4,plain,
( ! [U_4615] :
( r2_hidden(U_4615,a_0_9_fraenkel)
| ! [U_4612] :
( ~ p1_s5_fraenkel(U_4612)
| U_4615 != f3_s5_fraenkel(U_4612)
| ~ m1_subset_1(U_4612,f1_s5_fraenkel) ) )
& ! [U_4614] :
( ( p1_s5_fraenkel(sK557(U_4614))
& U_4614 = f3_s5_fraenkel(sK557(U_4614))
& m1_subset_1(sK557(U_4614),f1_s5_fraenkel) )
| ~ r2_hidden(U_4614,a_0_9_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK557]),skolemize(U_4611,sK557(U_4614))],[f_1651_3]) ).
fof(f_1651_5,plain,
( ! [U_4614] :
( p1_s5_fraenkel(sK557(U_4614))
| ~ sP764(U_4614) )
& ! [U_4614] :
( U_4614 = f3_s5_fraenkel(sK557(U_4614))
| ~ sP764(U_4614) )
& ! [U_4614] :
( m1_subset_1(sK557(U_4614),f1_s5_fraenkel)
| ~ sP764(U_4614) )
& ! [U_4612,U_4615] :
( r2_hidden(U_4615,a_0_9_fraenkel)
| ~ p1_s5_fraenkel(U_4612)
| U_4615 != f3_s5_fraenkel(U_4612)
| ~ m1_subset_1(U_4612,f1_s5_fraenkel) )
& ! [U_4614] :
( sP764(U_4614)
| ~ r2_hidden(U_4614,a_0_9_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP764])],[f_1651_4]) ).
cnf(f_1651_6,plain,
( sP764(U_4614)
| ~ r2_hidden(U_4614,a_0_9_fraenkel) ),
inference(clausify,[status(thm)],[f_1651_5]) ).
cnf(f_1651_7,plain,
( r2_hidden(U_4615,a_0_9_fraenkel)
| ~ p1_s5_fraenkel(U_4612)
| U_4615 != f3_s5_fraenkel(U_4612)
| ~ m1_subset_1(U_4612,f1_s5_fraenkel) ),
inference(clausify,[status(thm)],[f_1651_5]) ).
cnf(f_1651_8,plain,
( m1_subset_1(sK557(U_4614),f1_s5_fraenkel)
| ~ sP764(U_4614) ),
inference(clausify,[status(thm)],[f_1651_5]) ).
cnf(f_1651_9,plain,
( U_4614 = f3_s5_fraenkel(sK557(U_4614))
| ~ sP764(U_4614) ),
inference(clausify,[status(thm)],[f_1651_5]) ).
cnf(f_1651_10,plain,
( p1_s5_fraenkel(sK557(U_4614))
| ~ sP764(U_4614) ),
inference(clausify,[status(thm)],[f_1651_5]) ).
fof(f_1652_1,plain,
! [A] :
( ( r2_hidden(A,a_0_10_fraenkel)
| ! [B] :
( ~ p1_s6_fraenkel(B)
| A != f2_s6_fraenkel(B)
| ~ m1_subset_1(B,f1_s6_fraenkel) ) )
& ( ? [B] :
( p1_s6_fraenkel(B)
& A = f2_s6_fraenkel(B)
& m1_subset_1(B,f1_s6_fraenkel) )
| ~ r2_hidden(A,a_0_10_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_10_fraenkel]) ).
fof(f_1652_2,plain,
! [U_4618] :
( ( r2_hidden(U_4618,a_0_10_fraenkel)
| ! [U_4617] :
( ~ p1_s6_fraenkel(U_4617)
| U_4618 != f2_s6_fraenkel(U_4617)
| ~ m1_subset_1(U_4617,f1_s6_fraenkel) ) )
& ( ? [U_4616] :
( p1_s6_fraenkel(U_4616)
& U_4618 = f2_s6_fraenkel(U_4616)
& m1_subset_1(U_4616,f1_s6_fraenkel) )
| ~ r2_hidden(U_4618,a_0_10_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1652_1]) ).
fof(f_1652_3,plain,
( ! [U_4620] :
( r2_hidden(U_4620,a_0_10_fraenkel)
| ! [U_4617] :
( ~ p1_s6_fraenkel(U_4617)
| U_4620 != f2_s6_fraenkel(U_4617)
| ~ m1_subset_1(U_4617,f1_s6_fraenkel) ) )
& ! [U_4619] :
( ? [U_4616] :
( p1_s6_fraenkel(U_4616)
& U_4619 = f2_s6_fraenkel(U_4616)
& m1_subset_1(U_4616,f1_s6_fraenkel) )
| ~ r2_hidden(U_4619,a_0_10_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1652_2]) ).
fof(f_1652_4,plain,
( ! [U_4620] :
( r2_hidden(U_4620,a_0_10_fraenkel)
| ! [U_4617] :
( ~ p1_s6_fraenkel(U_4617)
| U_4620 != f2_s6_fraenkel(U_4617)
| ~ m1_subset_1(U_4617,f1_s6_fraenkel) ) )
& ! [U_4619] :
( ( p1_s6_fraenkel(sK558(U_4619))
& U_4619 = f2_s6_fraenkel(sK558(U_4619))
& m1_subset_1(sK558(U_4619),f1_s6_fraenkel) )
| ~ r2_hidden(U_4619,a_0_10_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK558]),skolemize(U_4616,sK558(U_4619))],[f_1652_3]) ).
fof(f_1652_5,plain,
( ! [U_4619] :
( p1_s6_fraenkel(sK558(U_4619))
| ~ sP765(U_4619) )
& ! [U_4619] :
( U_4619 = f2_s6_fraenkel(sK558(U_4619))
| ~ sP765(U_4619) )
& ! [U_4619] :
( m1_subset_1(sK558(U_4619),f1_s6_fraenkel)
| ~ sP765(U_4619) )
& ! [U_4620,U_4617] :
( r2_hidden(U_4620,a_0_10_fraenkel)
| ~ p1_s6_fraenkel(U_4617)
| U_4620 != f2_s6_fraenkel(U_4617)
| ~ m1_subset_1(U_4617,f1_s6_fraenkel) )
& ! [U_4619] :
( sP765(U_4619)
| ~ r2_hidden(U_4619,a_0_10_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP765])],[f_1652_4]) ).
cnf(f_1652_6,plain,
( sP765(U_4619)
| ~ r2_hidden(U_4619,a_0_10_fraenkel) ),
inference(clausify,[status(thm)],[f_1652_5]) ).
cnf(f_1652_7,plain,
( r2_hidden(U_4620,a_0_10_fraenkel)
| ~ p1_s6_fraenkel(U_4617)
| U_4620 != f2_s6_fraenkel(U_4617)
| ~ m1_subset_1(U_4617,f1_s6_fraenkel) ),
inference(clausify,[status(thm)],[f_1652_5]) ).
cnf(f_1652_8,plain,
( m1_subset_1(sK558(U_4619),f1_s6_fraenkel)
| ~ sP765(U_4619) ),
inference(clausify,[status(thm)],[f_1652_5]) ).
cnf(f_1652_9,plain,
( U_4619 = f2_s6_fraenkel(sK558(U_4619))
| ~ sP765(U_4619) ),
inference(clausify,[status(thm)],[f_1652_5]) ).
cnf(f_1652_10,plain,
( p1_s6_fraenkel(sK558(U_4619))
| ~ sP765(U_4619) ),
inference(clausify,[status(thm)],[f_1652_5]) ).
fof(f_1653_1,plain,
! [A] :
( ( r2_hidden(A,a_0_11_fraenkel)
| ! [B] :
( ~ p1_s6_fraenkel(B)
| A != f3_s6_fraenkel(B)
| ~ m1_subset_1(B,f1_s6_fraenkel) ) )
& ( ? [B] :
( p1_s6_fraenkel(B)
& A = f3_s6_fraenkel(B)
& m1_subset_1(B,f1_s6_fraenkel) )
| ~ r2_hidden(A,a_0_11_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_11_fraenkel]) ).
fof(f_1653_2,plain,
! [U_4623] :
( ( r2_hidden(U_4623,a_0_11_fraenkel)
| ! [U_4622] :
( ~ p1_s6_fraenkel(U_4622)
| U_4623 != f3_s6_fraenkel(U_4622)
| ~ m1_subset_1(U_4622,f1_s6_fraenkel) ) )
& ( ? [U_4621] :
( p1_s6_fraenkel(U_4621)
& U_4623 = f3_s6_fraenkel(U_4621)
& m1_subset_1(U_4621,f1_s6_fraenkel) )
| ~ r2_hidden(U_4623,a_0_11_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1653_1]) ).
fof(f_1653_3,plain,
( ! [U_4625] :
( r2_hidden(U_4625,a_0_11_fraenkel)
| ! [U_4622] :
( ~ p1_s6_fraenkel(U_4622)
| U_4625 != f3_s6_fraenkel(U_4622)
| ~ m1_subset_1(U_4622,f1_s6_fraenkel) ) )
& ! [U_4624] :
( ? [U_4621] :
( p1_s6_fraenkel(U_4621)
& U_4624 = f3_s6_fraenkel(U_4621)
& m1_subset_1(U_4621,f1_s6_fraenkel) )
| ~ r2_hidden(U_4624,a_0_11_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1653_2]) ).
fof(f_1653_4,plain,
( ! [U_4625] :
( r2_hidden(U_4625,a_0_11_fraenkel)
| ! [U_4622] :
( ~ p1_s6_fraenkel(U_4622)
| U_4625 != f3_s6_fraenkel(U_4622)
| ~ m1_subset_1(U_4622,f1_s6_fraenkel) ) )
& ! [U_4624] :
( ( p1_s6_fraenkel(sK559(U_4624))
& U_4624 = f3_s6_fraenkel(sK559(U_4624))
& m1_subset_1(sK559(U_4624),f1_s6_fraenkel) )
| ~ r2_hidden(U_4624,a_0_11_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK559]),skolemize(U_4621,sK559(U_4624))],[f_1653_3]) ).
fof(f_1653_5,plain,
( ! [U_4624] :
( p1_s6_fraenkel(sK559(U_4624))
| ~ sP766(U_4624) )
& ! [U_4624] :
( U_4624 = f3_s6_fraenkel(sK559(U_4624))
| ~ sP766(U_4624) )
& ! [U_4624] :
( m1_subset_1(sK559(U_4624),f1_s6_fraenkel)
| ~ sP766(U_4624) )
& ! [U_4625,U_4622] :
( r2_hidden(U_4625,a_0_11_fraenkel)
| ~ p1_s6_fraenkel(U_4622)
| U_4625 != f3_s6_fraenkel(U_4622)
| ~ m1_subset_1(U_4622,f1_s6_fraenkel) )
& ! [U_4624] :
( sP766(U_4624)
| ~ r2_hidden(U_4624,a_0_11_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP766])],[f_1653_4]) ).
cnf(f_1653_6,plain,
( sP766(U_4624)
| ~ r2_hidden(U_4624,a_0_11_fraenkel) ),
inference(clausify,[status(thm)],[f_1653_5]) ).
cnf(f_1653_7,plain,
( r2_hidden(U_4625,a_0_11_fraenkel)
| ~ p1_s6_fraenkel(U_4622)
| U_4625 != f3_s6_fraenkel(U_4622)
| ~ m1_subset_1(U_4622,f1_s6_fraenkel) ),
inference(clausify,[status(thm)],[f_1653_5]) ).
cnf(f_1653_8,plain,
( m1_subset_1(sK559(U_4624),f1_s6_fraenkel)
| ~ sP766(U_4624) ),
inference(clausify,[status(thm)],[f_1653_5]) ).
cnf(f_1653_9,plain,
( U_4624 = f3_s6_fraenkel(sK559(U_4624))
| ~ sP766(U_4624) ),
inference(clausify,[status(thm)],[f_1653_5]) ).
cnf(f_1653_10,plain,
( p1_s6_fraenkel(sK559(U_4624))
| ~ sP766(U_4624) ),
inference(clausify,[status(thm)],[f_1653_5]) ).
fof(f_1654_1,plain,
! [A] :
( ( r2_hidden(A,a_0_12_fraenkel)
| ! [B,C] :
( ~ p1_s7_fraenkel(B,C)
| A != f3_s7_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s7_fraenkel)
| ~ m1_subset_1(B,f1_s7_fraenkel) ) )
& ( ? [B,C] :
( p1_s7_fraenkel(B,C)
& A = f3_s7_fraenkel(B,C)
& m1_subset_1(C,f2_s7_fraenkel)
& m1_subset_1(B,f1_s7_fraenkel) )
| ~ r2_hidden(A,a_0_12_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_12_fraenkel]) ).
fof(f_1654_2,plain,
! [U_4630] :
( ( r2_hidden(U_4630,a_0_12_fraenkel)
| ! [U_4629,U_4628] :
( ~ p1_s7_fraenkel(U_4629,U_4628)
| U_4630 != f3_s7_fraenkel(U_4629,U_4628)
| ~ m1_subset_1(U_4628,f2_s7_fraenkel)
| ~ m1_subset_1(U_4629,f1_s7_fraenkel) ) )
& ( ? [U_4627,U_4626] :
( p1_s7_fraenkel(U_4627,U_4626)
& U_4630 = f3_s7_fraenkel(U_4627,U_4626)
& m1_subset_1(U_4626,f2_s7_fraenkel)
& m1_subset_1(U_4627,f1_s7_fraenkel) )
| ~ r2_hidden(U_4630,a_0_12_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1654_1]) ).
fof(f_1654_3,plain,
( ! [U_4632] :
( r2_hidden(U_4632,a_0_12_fraenkel)
| ! [U_4629] :
( ! [U_4628] :
( ~ p1_s7_fraenkel(U_4629,U_4628)
| U_4632 != f3_s7_fraenkel(U_4629,U_4628)
| ~ m1_subset_1(U_4628,f2_s7_fraenkel) )
| ~ m1_subset_1(U_4629,f1_s7_fraenkel) ) )
& ! [U_4631] :
( ? [U_4627] :
( ? [U_4626] :
( p1_s7_fraenkel(U_4627,U_4626)
& U_4631 = f3_s7_fraenkel(U_4627,U_4626)
& m1_subset_1(U_4626,f2_s7_fraenkel) )
& m1_subset_1(U_4627,f1_s7_fraenkel) )
| ~ r2_hidden(U_4631,a_0_12_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1654_2]) ).
fof(f_1654_4,plain,
( ! [U_4632] :
( r2_hidden(U_4632,a_0_12_fraenkel)
| ! [U_4629] :
( ! [U_4628] :
( ~ p1_s7_fraenkel(U_4629,U_4628)
| U_4632 != f3_s7_fraenkel(U_4629,U_4628)
| ~ m1_subset_1(U_4628,f2_s7_fraenkel) )
| ~ m1_subset_1(U_4629,f1_s7_fraenkel) ) )
& ! [U_4631] :
( ( ? [U_4626] :
( p1_s7_fraenkel(sK560(U_4631),U_4626)
& U_4631 = f3_s7_fraenkel(sK560(U_4631),U_4626)
& m1_subset_1(U_4626,f2_s7_fraenkel) )
& m1_subset_1(sK560(U_4631),f1_s7_fraenkel) )
| ~ r2_hidden(U_4631,a_0_12_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK560]),skolemize(U_4627,sK560(U_4631))],[f_1654_3]) ).
fof(f_1654_5,plain,
( ! [U_4632] :
( r2_hidden(U_4632,a_0_12_fraenkel)
| ! [U_4629] :
( ! [U_4628] :
( ~ p1_s7_fraenkel(U_4629,U_4628)
| U_4632 != f3_s7_fraenkel(U_4629,U_4628)
| ~ m1_subset_1(U_4628,f2_s7_fraenkel) )
| ~ m1_subset_1(U_4629,f1_s7_fraenkel) ) )
& ! [U_4631] :
( ( p1_s7_fraenkel(sK560(U_4631),sK561(U_4631))
& U_4631 = f3_s7_fraenkel(sK560(U_4631),sK561(U_4631))
& m1_subset_1(sK561(U_4631),f2_s7_fraenkel)
& m1_subset_1(sK560(U_4631),f1_s7_fraenkel) )
| ~ r2_hidden(U_4631,a_0_12_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK561]),skolemize(U_4626,sK561(U_4631))],[f_1654_4]) ).
fof(f_1654_6,plain,
( ! [U_4631] :
( p1_s7_fraenkel(sK560(U_4631),sK561(U_4631))
| ~ sP767(U_4631) )
& ! [U_4631] :
( U_4631 = f3_s7_fraenkel(sK560(U_4631),sK561(U_4631))
| ~ sP767(U_4631) )
& ! [U_4631] :
( m1_subset_1(sK561(U_4631),f2_s7_fraenkel)
| ~ sP767(U_4631) )
& ! [U_4631] :
( m1_subset_1(sK560(U_4631),f1_s7_fraenkel)
| ~ sP767(U_4631) )
& ! [U_4628,U_4632,U_4629] :
( r2_hidden(U_4632,a_0_12_fraenkel)
| ~ p1_s7_fraenkel(U_4629,U_4628)
| U_4632 != f3_s7_fraenkel(U_4629,U_4628)
| ~ m1_subset_1(U_4628,f2_s7_fraenkel)
| ~ m1_subset_1(U_4629,f1_s7_fraenkel) )
& ! [U_4631] :
( sP767(U_4631)
| ~ r2_hidden(U_4631,a_0_12_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP767])],[f_1654_5]) ).
cnf(f_1654_7,plain,
( sP767(U_4631)
| ~ r2_hidden(U_4631,a_0_12_fraenkel) ),
inference(clausify,[status(thm)],[f_1654_6]) ).
cnf(f_1654_8,plain,
( r2_hidden(U_4632,a_0_12_fraenkel)
| ~ p1_s7_fraenkel(U_4629,U_4628)
| U_4632 != f3_s7_fraenkel(U_4629,U_4628)
| ~ m1_subset_1(U_4628,f2_s7_fraenkel)
| ~ m1_subset_1(U_4629,f1_s7_fraenkel) ),
inference(clausify,[status(thm)],[f_1654_6]) ).
cnf(f_1654_9,plain,
( m1_subset_1(sK560(U_4631),f1_s7_fraenkel)
| ~ sP767(U_4631) ),
inference(clausify,[status(thm)],[f_1654_6]) ).
cnf(f_1654_10,plain,
( m1_subset_1(sK561(U_4631),f2_s7_fraenkel)
| ~ sP767(U_4631) ),
inference(clausify,[status(thm)],[f_1654_6]) ).
cnf(f_1654_11,plain,
( U_4631 = f3_s7_fraenkel(sK560(U_4631),sK561(U_4631))
| ~ sP767(U_4631) ),
inference(clausify,[status(thm)],[f_1654_6]) ).
cnf(f_1654_12,plain,
( p1_s7_fraenkel(sK560(U_4631),sK561(U_4631))
| ~ sP767(U_4631) ),
inference(clausify,[status(thm)],[f_1654_6]) ).
fof(f_1655_1,plain,
! [A] :
( ( r2_hidden(A,a_0_13_fraenkel)
| ! [B,C] :
( ~ p1_s7_fraenkel(B,C)
| A != f4_s7_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s7_fraenkel)
| ~ m1_subset_1(B,f1_s7_fraenkel) ) )
& ( ? [B,C] :
( p1_s7_fraenkel(B,C)
& A = f4_s7_fraenkel(B,C)
& m1_subset_1(C,f2_s7_fraenkel)
& m1_subset_1(B,f1_s7_fraenkel) )
| ~ r2_hidden(A,a_0_13_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_13_fraenkel]) ).
fof(f_1655_2,plain,
! [U_4637] :
( ( r2_hidden(U_4637,a_0_13_fraenkel)
| ! [U_4636,U_4635] :
( ~ p1_s7_fraenkel(U_4636,U_4635)
| U_4637 != f4_s7_fraenkel(U_4636,U_4635)
| ~ m1_subset_1(U_4635,f2_s7_fraenkel)
| ~ m1_subset_1(U_4636,f1_s7_fraenkel) ) )
& ( ? [U_4634,U_4633] :
( p1_s7_fraenkel(U_4634,U_4633)
& U_4637 = f4_s7_fraenkel(U_4634,U_4633)
& m1_subset_1(U_4633,f2_s7_fraenkel)
& m1_subset_1(U_4634,f1_s7_fraenkel) )
| ~ r2_hidden(U_4637,a_0_13_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1655_1]) ).
fof(f_1655_3,plain,
( ! [U_4639] :
( r2_hidden(U_4639,a_0_13_fraenkel)
| ! [U_4636] :
( ! [U_4635] :
( ~ p1_s7_fraenkel(U_4636,U_4635)
| U_4639 != f4_s7_fraenkel(U_4636,U_4635)
| ~ m1_subset_1(U_4635,f2_s7_fraenkel) )
| ~ m1_subset_1(U_4636,f1_s7_fraenkel) ) )
& ! [U_4638] :
( ? [U_4634] :
( ? [U_4633] :
( p1_s7_fraenkel(U_4634,U_4633)
& U_4638 = f4_s7_fraenkel(U_4634,U_4633)
& m1_subset_1(U_4633,f2_s7_fraenkel) )
& m1_subset_1(U_4634,f1_s7_fraenkel) )
| ~ r2_hidden(U_4638,a_0_13_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1655_2]) ).
fof(f_1655_4,plain,
( ! [U_4639] :
( r2_hidden(U_4639,a_0_13_fraenkel)
| ! [U_4636] :
( ! [U_4635] :
( ~ p1_s7_fraenkel(U_4636,U_4635)
| U_4639 != f4_s7_fraenkel(U_4636,U_4635)
| ~ m1_subset_1(U_4635,f2_s7_fraenkel) )
| ~ m1_subset_1(U_4636,f1_s7_fraenkel) ) )
& ! [U_4638] :
( ( ? [U_4633] :
( p1_s7_fraenkel(sK562(U_4638),U_4633)
& U_4638 = f4_s7_fraenkel(sK562(U_4638),U_4633)
& m1_subset_1(U_4633,f2_s7_fraenkel) )
& m1_subset_1(sK562(U_4638),f1_s7_fraenkel) )
| ~ r2_hidden(U_4638,a_0_13_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK562]),skolemize(U_4634,sK562(U_4638))],[f_1655_3]) ).
fof(f_1655_5,plain,
( ! [U_4639] :
( r2_hidden(U_4639,a_0_13_fraenkel)
| ! [U_4636] :
( ! [U_4635] :
( ~ p1_s7_fraenkel(U_4636,U_4635)
| U_4639 != f4_s7_fraenkel(U_4636,U_4635)
| ~ m1_subset_1(U_4635,f2_s7_fraenkel) )
| ~ m1_subset_1(U_4636,f1_s7_fraenkel) ) )
& ! [U_4638] :
( ( p1_s7_fraenkel(sK562(U_4638),sK563(U_4638))
& U_4638 = f4_s7_fraenkel(sK562(U_4638),sK563(U_4638))
& m1_subset_1(sK563(U_4638),f2_s7_fraenkel)
& m1_subset_1(sK562(U_4638),f1_s7_fraenkel) )
| ~ r2_hidden(U_4638,a_0_13_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK563]),skolemize(U_4633,sK563(U_4638))],[f_1655_4]) ).
fof(f_1655_6,plain,
( ! [U_4638] :
( p1_s7_fraenkel(sK562(U_4638),sK563(U_4638))
| ~ sP768(U_4638) )
& ! [U_4638] :
( U_4638 = f4_s7_fraenkel(sK562(U_4638),sK563(U_4638))
| ~ sP768(U_4638) )
& ! [U_4638] :
( m1_subset_1(sK563(U_4638),f2_s7_fraenkel)
| ~ sP768(U_4638) )
& ! [U_4638] :
( m1_subset_1(sK562(U_4638),f1_s7_fraenkel)
| ~ sP768(U_4638) )
& ! [U_4635,U_4639,U_4636] :
( r2_hidden(U_4639,a_0_13_fraenkel)
| ~ p1_s7_fraenkel(U_4636,U_4635)
| U_4639 != f4_s7_fraenkel(U_4636,U_4635)
| ~ m1_subset_1(U_4635,f2_s7_fraenkel)
| ~ m1_subset_1(U_4636,f1_s7_fraenkel) )
& ! [U_4638] :
( sP768(U_4638)
| ~ r2_hidden(U_4638,a_0_13_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP768])],[f_1655_5]) ).
cnf(f_1655_7,plain,
( sP768(U_4638)
| ~ r2_hidden(U_4638,a_0_13_fraenkel) ),
inference(clausify,[status(thm)],[f_1655_6]) ).
cnf(f_1655_8,plain,
( r2_hidden(U_4639,a_0_13_fraenkel)
| ~ p1_s7_fraenkel(U_4636,U_4635)
| U_4639 != f4_s7_fraenkel(U_4636,U_4635)
| ~ m1_subset_1(U_4635,f2_s7_fraenkel)
| ~ m1_subset_1(U_4636,f1_s7_fraenkel) ),
inference(clausify,[status(thm)],[f_1655_6]) ).
cnf(f_1655_9,plain,
( m1_subset_1(sK562(U_4638),f1_s7_fraenkel)
| ~ sP768(U_4638) ),
inference(clausify,[status(thm)],[f_1655_6]) ).
cnf(f_1655_10,plain,
( m1_subset_1(sK563(U_4638),f2_s7_fraenkel)
| ~ sP768(U_4638) ),
inference(clausify,[status(thm)],[f_1655_6]) ).
cnf(f_1655_11,plain,
( U_4638 = f4_s7_fraenkel(sK562(U_4638),sK563(U_4638))
| ~ sP768(U_4638) ),
inference(clausify,[status(thm)],[f_1655_6]) ).
cnf(f_1655_12,plain,
( p1_s7_fraenkel(sK562(U_4638),sK563(U_4638))
| ~ sP768(U_4638) ),
inference(clausify,[status(thm)],[f_1655_6]) ).
fof(f_1656_1,plain,
! [A] :
( ( r2_hidden(A,a_0_14_fraenkel)
| ! [B,C] :
( ~ p1_s8_fraenkel(B,C)
| A != f3_s8_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s8_fraenkel)
| ~ m1_subset_1(B,f1_s8_fraenkel) ) )
& ( ? [B,C] :
( p1_s8_fraenkel(B,C)
& A = f3_s8_fraenkel(B,C)
& m1_subset_1(C,f2_s8_fraenkel)
& m1_subset_1(B,f1_s8_fraenkel) )
| ~ r2_hidden(A,a_0_14_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_14_fraenkel]) ).
fof(f_1656_2,plain,
! [U_4644] :
( ( r2_hidden(U_4644,a_0_14_fraenkel)
| ! [U_4643,U_4642] :
( ~ p1_s8_fraenkel(U_4643,U_4642)
| U_4644 != f3_s8_fraenkel(U_4643,U_4642)
| ~ m1_subset_1(U_4642,f2_s8_fraenkel)
| ~ m1_subset_1(U_4643,f1_s8_fraenkel) ) )
& ( ? [U_4641,U_4640] :
( p1_s8_fraenkel(U_4641,U_4640)
& U_4644 = f3_s8_fraenkel(U_4641,U_4640)
& m1_subset_1(U_4640,f2_s8_fraenkel)
& m1_subset_1(U_4641,f1_s8_fraenkel) )
| ~ r2_hidden(U_4644,a_0_14_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1656_1]) ).
fof(f_1656_3,plain,
( ! [U_4646] :
( r2_hidden(U_4646,a_0_14_fraenkel)
| ! [U_4643] :
( ! [U_4642] :
( ~ p1_s8_fraenkel(U_4643,U_4642)
| U_4646 != f3_s8_fraenkel(U_4643,U_4642)
| ~ m1_subset_1(U_4642,f2_s8_fraenkel) )
| ~ m1_subset_1(U_4643,f1_s8_fraenkel) ) )
& ! [U_4645] :
( ? [U_4641] :
( ? [U_4640] :
( p1_s8_fraenkel(U_4641,U_4640)
& U_4645 = f3_s8_fraenkel(U_4641,U_4640)
& m1_subset_1(U_4640,f2_s8_fraenkel) )
& m1_subset_1(U_4641,f1_s8_fraenkel) )
| ~ r2_hidden(U_4645,a_0_14_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1656_2]) ).
fof(f_1656_4,plain,
( ! [U_4646] :
( r2_hidden(U_4646,a_0_14_fraenkel)
| ! [U_4643] :
( ! [U_4642] :
( ~ p1_s8_fraenkel(U_4643,U_4642)
| U_4646 != f3_s8_fraenkel(U_4643,U_4642)
| ~ m1_subset_1(U_4642,f2_s8_fraenkel) )
| ~ m1_subset_1(U_4643,f1_s8_fraenkel) ) )
& ! [U_4645] :
( ( ? [U_4640] :
( p1_s8_fraenkel(sK564(U_4645),U_4640)
& U_4645 = f3_s8_fraenkel(sK564(U_4645),U_4640)
& m1_subset_1(U_4640,f2_s8_fraenkel) )
& m1_subset_1(sK564(U_4645),f1_s8_fraenkel) )
| ~ r2_hidden(U_4645,a_0_14_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK564]),skolemize(U_4641,sK564(U_4645))],[f_1656_3]) ).
fof(f_1656_5,plain,
( ! [U_4646] :
( r2_hidden(U_4646,a_0_14_fraenkel)
| ! [U_4643] :
( ! [U_4642] :
( ~ p1_s8_fraenkel(U_4643,U_4642)
| U_4646 != f3_s8_fraenkel(U_4643,U_4642)
| ~ m1_subset_1(U_4642,f2_s8_fraenkel) )
| ~ m1_subset_1(U_4643,f1_s8_fraenkel) ) )
& ! [U_4645] :
( ( p1_s8_fraenkel(sK564(U_4645),sK565(U_4645))
& U_4645 = f3_s8_fraenkel(sK564(U_4645),sK565(U_4645))
& m1_subset_1(sK565(U_4645),f2_s8_fraenkel)
& m1_subset_1(sK564(U_4645),f1_s8_fraenkel) )
| ~ r2_hidden(U_4645,a_0_14_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK565]),skolemize(U_4640,sK565(U_4645))],[f_1656_4]) ).
fof(f_1656_6,plain,
( ! [U_4645] :
( p1_s8_fraenkel(sK564(U_4645),sK565(U_4645))
| ~ sP769(U_4645) )
& ! [U_4645] :
( U_4645 = f3_s8_fraenkel(sK564(U_4645),sK565(U_4645))
| ~ sP769(U_4645) )
& ! [U_4645] :
( m1_subset_1(sK565(U_4645),f2_s8_fraenkel)
| ~ sP769(U_4645) )
& ! [U_4645] :
( m1_subset_1(sK564(U_4645),f1_s8_fraenkel)
| ~ sP769(U_4645) )
& ! [U_4642,U_4643,U_4646] :
( r2_hidden(U_4646,a_0_14_fraenkel)
| ~ p1_s8_fraenkel(U_4643,U_4642)
| U_4646 != f3_s8_fraenkel(U_4643,U_4642)
| ~ m1_subset_1(U_4642,f2_s8_fraenkel)
| ~ m1_subset_1(U_4643,f1_s8_fraenkel) )
& ! [U_4645] :
( sP769(U_4645)
| ~ r2_hidden(U_4645,a_0_14_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP769])],[f_1656_5]) ).
cnf(f_1656_7,plain,
( sP769(U_4645)
| ~ r2_hidden(U_4645,a_0_14_fraenkel) ),
inference(clausify,[status(thm)],[f_1656_6]) ).
cnf(f_1656_8,plain,
( r2_hidden(U_4646,a_0_14_fraenkel)
| ~ p1_s8_fraenkel(U_4643,U_4642)
| U_4646 != f3_s8_fraenkel(U_4643,U_4642)
| ~ m1_subset_1(U_4642,f2_s8_fraenkel)
| ~ m1_subset_1(U_4643,f1_s8_fraenkel) ),
inference(clausify,[status(thm)],[f_1656_6]) ).
cnf(f_1656_9,plain,
( m1_subset_1(sK564(U_4645),f1_s8_fraenkel)
| ~ sP769(U_4645) ),
inference(clausify,[status(thm)],[f_1656_6]) ).
cnf(f_1656_10,plain,
( m1_subset_1(sK565(U_4645),f2_s8_fraenkel)
| ~ sP769(U_4645) ),
inference(clausify,[status(thm)],[f_1656_6]) ).
cnf(f_1656_11,plain,
( U_4645 = f3_s8_fraenkel(sK564(U_4645),sK565(U_4645))
| ~ sP769(U_4645) ),
inference(clausify,[status(thm)],[f_1656_6]) ).
cnf(f_1656_12,plain,
( p1_s8_fraenkel(sK564(U_4645),sK565(U_4645))
| ~ sP769(U_4645) ),
inference(clausify,[status(thm)],[f_1656_6]) ).
fof(f_1657_1,plain,
! [A] :
( ( r2_hidden(A,a_0_15_fraenkel)
| ! [B,C] :
( ~ p2_s8_fraenkel(B,C)
| A != f3_s8_fraenkel(C,B)
| ~ m1_subset_1(C,f2_s8_fraenkel)
| ~ m1_subset_1(B,f1_s8_fraenkel) ) )
& ( ? [B,C] :
( p2_s8_fraenkel(B,C)
& A = f3_s8_fraenkel(C,B)
& m1_subset_1(C,f2_s8_fraenkel)
& m1_subset_1(B,f1_s8_fraenkel) )
| ~ r2_hidden(A,a_0_15_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_15_fraenkel]) ).
fof(f_1657_2,plain,
! [U_4651] :
( ( r2_hidden(U_4651,a_0_15_fraenkel)
| ! [U_4650,U_4649] :
( ~ p2_s8_fraenkel(U_4650,U_4649)
| U_4651 != f3_s8_fraenkel(U_4649,U_4650)
| ~ m1_subset_1(U_4649,f2_s8_fraenkel)
| ~ m1_subset_1(U_4650,f1_s8_fraenkel) ) )
& ( ? [U_4648,U_4647] :
( p2_s8_fraenkel(U_4648,U_4647)
& U_4651 = f3_s8_fraenkel(U_4647,U_4648)
& m1_subset_1(U_4647,f2_s8_fraenkel)
& m1_subset_1(U_4648,f1_s8_fraenkel) )
| ~ r2_hidden(U_4651,a_0_15_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1657_1]) ).
fof(f_1657_3,plain,
( ! [U_4653] :
( r2_hidden(U_4653,a_0_15_fraenkel)
| ! [U_4650] :
( ! [U_4649] :
( ~ p2_s8_fraenkel(U_4650,U_4649)
| U_4653 != f3_s8_fraenkel(U_4649,U_4650)
| ~ m1_subset_1(U_4649,f2_s8_fraenkel) )
| ~ m1_subset_1(U_4650,f1_s8_fraenkel) ) )
& ! [U_4652] :
( ? [U_4648] :
( ? [U_4647] :
( p2_s8_fraenkel(U_4648,U_4647)
& U_4652 = f3_s8_fraenkel(U_4647,U_4648)
& m1_subset_1(U_4647,f2_s8_fraenkel) )
& m1_subset_1(U_4648,f1_s8_fraenkel) )
| ~ r2_hidden(U_4652,a_0_15_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1657_2]) ).
fof(f_1657_4,plain,
( ! [U_4653] :
( r2_hidden(U_4653,a_0_15_fraenkel)
| ! [U_4650] :
( ! [U_4649] :
( ~ p2_s8_fraenkel(U_4650,U_4649)
| U_4653 != f3_s8_fraenkel(U_4649,U_4650)
| ~ m1_subset_1(U_4649,f2_s8_fraenkel) )
| ~ m1_subset_1(U_4650,f1_s8_fraenkel) ) )
& ! [U_4652] :
( ( ? [U_4647] :
( p2_s8_fraenkel(sK566(U_4652),U_4647)
& U_4652 = f3_s8_fraenkel(U_4647,sK566(U_4652))
& m1_subset_1(U_4647,f2_s8_fraenkel) )
& m1_subset_1(sK566(U_4652),f1_s8_fraenkel) )
| ~ r2_hidden(U_4652,a_0_15_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK566]),skolemize(U_4648,sK566(U_4652))],[f_1657_3]) ).
fof(f_1657_5,plain,
( ! [U_4653] :
( r2_hidden(U_4653,a_0_15_fraenkel)
| ! [U_4650] :
( ! [U_4649] :
( ~ p2_s8_fraenkel(U_4650,U_4649)
| U_4653 != f3_s8_fraenkel(U_4649,U_4650)
| ~ m1_subset_1(U_4649,f2_s8_fraenkel) )
| ~ m1_subset_1(U_4650,f1_s8_fraenkel) ) )
& ! [U_4652] :
( ( p2_s8_fraenkel(sK566(U_4652),sK567(U_4652))
& U_4652 = f3_s8_fraenkel(sK567(U_4652),sK566(U_4652))
& m1_subset_1(sK567(U_4652),f2_s8_fraenkel)
& m1_subset_1(sK566(U_4652),f1_s8_fraenkel) )
| ~ r2_hidden(U_4652,a_0_15_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK567]),skolemize(U_4647,sK567(U_4652))],[f_1657_4]) ).
fof(f_1657_6,plain,
( ! [U_4652] :
( p2_s8_fraenkel(sK566(U_4652),sK567(U_4652))
| ~ sP770(U_4652) )
& ! [U_4652] :
( U_4652 = f3_s8_fraenkel(sK567(U_4652),sK566(U_4652))
| ~ sP770(U_4652) )
& ! [U_4652] :
( m1_subset_1(sK567(U_4652),f2_s8_fraenkel)
| ~ sP770(U_4652) )
& ! [U_4652] :
( m1_subset_1(sK566(U_4652),f1_s8_fraenkel)
| ~ sP770(U_4652) )
& ! [U_4649,U_4650,U_4653] :
( r2_hidden(U_4653,a_0_15_fraenkel)
| ~ p2_s8_fraenkel(U_4650,U_4649)
| U_4653 != f3_s8_fraenkel(U_4649,U_4650)
| ~ m1_subset_1(U_4649,f2_s8_fraenkel)
| ~ m1_subset_1(U_4650,f1_s8_fraenkel) )
& ! [U_4652] :
( sP770(U_4652)
| ~ r2_hidden(U_4652,a_0_15_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP770])],[f_1657_5]) ).
cnf(f_1657_7,plain,
( sP770(U_4652)
| ~ r2_hidden(U_4652,a_0_15_fraenkel) ),
inference(clausify,[status(thm)],[f_1657_6]) ).
cnf(f_1657_8,plain,
( r2_hidden(U_4653,a_0_15_fraenkel)
| ~ p2_s8_fraenkel(U_4650,U_4649)
| U_4653 != f3_s8_fraenkel(U_4649,U_4650)
| ~ m1_subset_1(U_4649,f2_s8_fraenkel)
| ~ m1_subset_1(U_4650,f1_s8_fraenkel) ),
inference(clausify,[status(thm)],[f_1657_6]) ).
cnf(f_1657_9,plain,
( m1_subset_1(sK566(U_4652),f1_s8_fraenkel)
| ~ sP770(U_4652) ),
inference(clausify,[status(thm)],[f_1657_6]) ).
cnf(f_1657_10,plain,
( m1_subset_1(sK567(U_4652),f2_s8_fraenkel)
| ~ sP770(U_4652) ),
inference(clausify,[status(thm)],[f_1657_6]) ).
cnf(f_1657_11,plain,
( U_4652 = f3_s8_fraenkel(sK567(U_4652),sK566(U_4652))
| ~ sP770(U_4652) ),
inference(clausify,[status(thm)],[f_1657_6]) ).
cnf(f_1657_12,plain,
( p2_s8_fraenkel(sK566(U_4652),sK567(U_4652))
| ~ sP770(U_4652) ),
inference(clausify,[status(thm)],[f_1657_6]) ).
fof(f_1658_1,plain,
! [A] :
( ( r2_hidden(A,a_0_16_fraenkel)
| ! [B] :
( ~ r2_hidden(B,f3_s9_fraenkel)
| ~ p1_s9_fraenkel(B)
| A != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B)
| ~ m1_subset_1(B,f1_s9_fraenkel) ) )
& ( ? [B] :
( r2_hidden(B,f3_s9_fraenkel)
& p1_s9_fraenkel(B)
& A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B)
& m1_subset_1(B,f1_s9_fraenkel) )
| ~ r2_hidden(A,a_0_16_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_16_fraenkel]) ).
fof(f_1658_2,plain,
! [U_4656] :
( ( r2_hidden(U_4656,a_0_16_fraenkel)
| ! [U_4655] :
( ~ r2_hidden(U_4655,f3_s9_fraenkel)
| ~ p1_s9_fraenkel(U_4655)
| U_4656 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4655)
| ~ m1_subset_1(U_4655,f1_s9_fraenkel) ) )
& ( ? [U_4654] :
( r2_hidden(U_4654,f3_s9_fraenkel)
& p1_s9_fraenkel(U_4654)
& U_4656 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4654)
& m1_subset_1(U_4654,f1_s9_fraenkel) )
| ~ r2_hidden(U_4656,a_0_16_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1658_1]) ).
fof(f_1658_3,plain,
( ! [U_4658] :
( r2_hidden(U_4658,a_0_16_fraenkel)
| ! [U_4655] :
( ~ r2_hidden(U_4655,f3_s9_fraenkel)
| ~ p1_s9_fraenkel(U_4655)
| U_4658 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4655)
| ~ m1_subset_1(U_4655,f1_s9_fraenkel) ) )
& ! [U_4657] :
( ? [U_4654] :
( r2_hidden(U_4654,f3_s9_fraenkel)
& p1_s9_fraenkel(U_4654)
& U_4657 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4654)
& m1_subset_1(U_4654,f1_s9_fraenkel) )
| ~ r2_hidden(U_4657,a_0_16_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1658_2]) ).
fof(f_1658_4,plain,
( ! [U_4658] :
( r2_hidden(U_4658,a_0_16_fraenkel)
| ! [U_4655] :
( ~ r2_hidden(U_4655,f3_s9_fraenkel)
| ~ p1_s9_fraenkel(U_4655)
| U_4658 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4655)
| ~ m1_subset_1(U_4655,f1_s9_fraenkel) ) )
& ! [U_4657] :
( ( r2_hidden(sK568(U_4657),f3_s9_fraenkel)
& p1_s9_fraenkel(sK568(U_4657))
& U_4657 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,sK568(U_4657))
& m1_subset_1(sK568(U_4657),f1_s9_fraenkel) )
| ~ r2_hidden(U_4657,a_0_16_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK568]),skolemize(U_4654,sK568(U_4657))],[f_1658_3]) ).
fof(f_1658_5,plain,
( ! [U_4657] :
( r2_hidden(sK568(U_4657),f3_s9_fraenkel)
| ~ sP771(U_4657) )
& ! [U_4657] :
( p1_s9_fraenkel(sK568(U_4657))
| ~ sP771(U_4657) )
& ! [U_4657] :
( U_4657 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,sK568(U_4657))
| ~ sP771(U_4657) )
& ! [U_4657] :
( m1_subset_1(sK568(U_4657),f1_s9_fraenkel)
| ~ sP771(U_4657) )
& ! [U_4655,U_4658] :
( r2_hidden(U_4658,a_0_16_fraenkel)
| ~ r2_hidden(U_4655,f3_s9_fraenkel)
| ~ p1_s9_fraenkel(U_4655)
| U_4658 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4655)
| ~ m1_subset_1(U_4655,f1_s9_fraenkel) )
& ! [U_4657] :
( sP771(U_4657)
| ~ r2_hidden(U_4657,a_0_16_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP771])],[f_1658_4]) ).
cnf(f_1658_6,plain,
( sP771(U_4657)
| ~ r2_hidden(U_4657,a_0_16_fraenkel) ),
inference(clausify,[status(thm)],[f_1658_5]) ).
cnf(f_1658_7,plain,
( r2_hidden(U_4658,a_0_16_fraenkel)
| ~ r2_hidden(U_4655,f3_s9_fraenkel)
| ~ p1_s9_fraenkel(U_4655)
| U_4658 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,U_4655)
| ~ m1_subset_1(U_4655,f1_s9_fraenkel) ),
inference(clausify,[status(thm)],[f_1658_5]) ).
cnf(f_1658_8,plain,
( m1_subset_1(sK568(U_4657),f1_s9_fraenkel)
| ~ sP771(U_4657) ),
inference(clausify,[status(thm)],[f_1658_5]) ).
cnf(f_1658_9,plain,
( U_4657 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,sK568(U_4657))
| ~ sP771(U_4657) ),
inference(clausify,[status(thm)],[f_1658_5]) ).
cnf(f_1658_10,plain,
( p1_s9_fraenkel(sK568(U_4657))
| ~ sP771(U_4657) ),
inference(clausify,[status(thm)],[f_1658_5]) ).
cnf(f_1658_11,plain,
( r2_hidden(sK568(U_4657),f3_s9_fraenkel)
| ~ sP771(U_4657) ),
inference(clausify,[status(thm)],[f_1658_5]) ).
fof(f_1659_1,plain,
! [A] :
( ( r2_hidden(A,a_0_17_fraenkel)
| ! [B] :
( ~ r2_hidden(B,f3_s9_fraenkel)
| ~ p2_s9_fraenkel(B)
| A != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,B)
| ~ m1_subset_1(B,f1_s9_fraenkel) ) )
& ( ? [B] :
( r2_hidden(B,f3_s9_fraenkel)
& p2_s9_fraenkel(B)
& A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,B)
& m1_subset_1(B,f1_s9_fraenkel) )
| ~ r2_hidden(A,a_0_17_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_17_fraenkel]) ).
fof(f_1659_2,plain,
! [U_4661] :
( ( r2_hidden(U_4661,a_0_17_fraenkel)
| ! [U_4660] :
( ~ r2_hidden(U_4660,f3_s9_fraenkel)
| ~ p2_s9_fraenkel(U_4660)
| U_4661 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4660)
| ~ m1_subset_1(U_4660,f1_s9_fraenkel) ) )
& ( ? [U_4659] :
( r2_hidden(U_4659,f3_s9_fraenkel)
& p2_s9_fraenkel(U_4659)
& U_4661 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4659)
& m1_subset_1(U_4659,f1_s9_fraenkel) )
| ~ r2_hidden(U_4661,a_0_17_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1659_1]) ).
fof(f_1659_3,plain,
( ! [U_4663] :
( r2_hidden(U_4663,a_0_17_fraenkel)
| ! [U_4660] :
( ~ r2_hidden(U_4660,f3_s9_fraenkel)
| ~ p2_s9_fraenkel(U_4660)
| U_4663 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4660)
| ~ m1_subset_1(U_4660,f1_s9_fraenkel) ) )
& ! [U_4662] :
( ? [U_4659] :
( r2_hidden(U_4659,f3_s9_fraenkel)
& p2_s9_fraenkel(U_4659)
& U_4662 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4659)
& m1_subset_1(U_4659,f1_s9_fraenkel) )
| ~ r2_hidden(U_4662,a_0_17_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1659_2]) ).
fof(f_1659_4,plain,
( ! [U_4663] :
( r2_hidden(U_4663,a_0_17_fraenkel)
| ! [U_4660] :
( ~ r2_hidden(U_4660,f3_s9_fraenkel)
| ~ p2_s9_fraenkel(U_4660)
| U_4663 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4660)
| ~ m1_subset_1(U_4660,f1_s9_fraenkel) ) )
& ! [U_4662] :
( ( r2_hidden(sK569(U_4662),f3_s9_fraenkel)
& p2_s9_fraenkel(sK569(U_4662))
& U_4662 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,sK569(U_4662))
& m1_subset_1(sK569(U_4662),f1_s9_fraenkel) )
| ~ r2_hidden(U_4662,a_0_17_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK569]),skolemize(U_4659,sK569(U_4662))],[f_1659_3]) ).
fof(f_1659_5,plain,
( ! [U_4662] :
( r2_hidden(sK569(U_4662),f3_s9_fraenkel)
| ~ sP772(U_4662) )
& ! [U_4662] :
( p2_s9_fraenkel(sK569(U_4662))
| ~ sP772(U_4662) )
& ! [U_4662] :
( U_4662 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,sK569(U_4662))
| ~ sP772(U_4662) )
& ! [U_4662] :
( m1_subset_1(sK569(U_4662),f1_s9_fraenkel)
| ~ sP772(U_4662) )
& ! [U_4663,U_4660] :
( r2_hidden(U_4663,a_0_17_fraenkel)
| ~ r2_hidden(U_4660,f3_s9_fraenkel)
| ~ p2_s9_fraenkel(U_4660)
| U_4663 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4660)
| ~ m1_subset_1(U_4660,f1_s9_fraenkel) )
& ! [U_4662] :
( sP772(U_4662)
| ~ r2_hidden(U_4662,a_0_17_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP772])],[f_1659_4]) ).
cnf(f_1659_6,plain,
( sP772(U_4662)
| ~ r2_hidden(U_4662,a_0_17_fraenkel) ),
inference(clausify,[status(thm)],[f_1659_5]) ).
cnf(f_1659_7,plain,
( r2_hidden(U_4663,a_0_17_fraenkel)
| ~ r2_hidden(U_4660,f3_s9_fraenkel)
| ~ p2_s9_fraenkel(U_4660)
| U_4663 != k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,U_4660)
| ~ m1_subset_1(U_4660,f1_s9_fraenkel) ),
inference(clausify,[status(thm)],[f_1659_5]) ).
cnf(f_1659_8,plain,
( m1_subset_1(sK569(U_4662),f1_s9_fraenkel)
| ~ sP772(U_4662) ),
inference(clausify,[status(thm)],[f_1659_5]) ).
cnf(f_1659_9,plain,
( U_4662 = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,sK569(U_4662))
| ~ sP772(U_4662) ),
inference(clausify,[status(thm)],[f_1659_5]) ).
cnf(f_1659_10,plain,
( p2_s9_fraenkel(sK569(U_4662))
| ~ sP772(U_4662) ),
inference(clausify,[status(thm)],[f_1659_5]) ).
cnf(f_1659_11,plain,
( r2_hidden(sK569(U_4662),f3_s9_fraenkel)
| ~ sP772(U_4662) ),
inference(clausify,[status(thm)],[f_1659_5]) ).
fof(f_1660_1,plain,
! [A] :
( ( r2_hidden(A,a_0_18_fraenkel)
| ! [B] :
( ~ p1_s10_fraenkel(B)
| A != B
| ~ m1_subset_1(B,f1_s10_fraenkel) ) )
& ( ? [B] :
( p1_s10_fraenkel(B)
& A = B
& m1_subset_1(B,f1_s10_fraenkel) )
| ~ r2_hidden(A,a_0_18_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_18_fraenkel]) ).
fof(f_1660_2,plain,
! [U_4666] :
( ( r2_hidden(U_4666,a_0_18_fraenkel)
| ! [U_4665] :
( ~ p1_s10_fraenkel(U_4665)
| U_4666 != U_4665
| ~ m1_subset_1(U_4665,f1_s10_fraenkel) ) )
& ( ? [U_4664] :
( p1_s10_fraenkel(U_4664)
& U_4666 = U_4664
& m1_subset_1(U_4664,f1_s10_fraenkel) )
| ~ r2_hidden(U_4666,a_0_18_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1660_1]) ).
fof(f_1660_3,plain,
( ! [U_4668] :
( r2_hidden(U_4668,a_0_18_fraenkel)
| ! [U_4665] :
( ~ p1_s10_fraenkel(U_4665)
| U_4668 != U_4665
| ~ m1_subset_1(U_4665,f1_s10_fraenkel) ) )
& ! [U_4667] :
( ? [U_4664] :
( p1_s10_fraenkel(U_4664)
& U_4667 = U_4664
& m1_subset_1(U_4664,f1_s10_fraenkel) )
| ~ r2_hidden(U_4667,a_0_18_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1660_2]) ).
fof(f_1660_4,plain,
( ! [U_4668] :
( r2_hidden(U_4668,a_0_18_fraenkel)
| ! [U_4665] :
( ~ p1_s10_fraenkel(U_4665)
| U_4668 != U_4665
| ~ m1_subset_1(U_4665,f1_s10_fraenkel) ) )
& ! [U_4667] :
( ( p1_s10_fraenkel(sK570(U_4667))
& U_4667 = sK570(U_4667)
& m1_subset_1(sK570(U_4667),f1_s10_fraenkel) )
| ~ r2_hidden(U_4667,a_0_18_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK570]),skolemize(U_4664,sK570(U_4667))],[f_1660_3]) ).
fof(f_1660_5,plain,
( ! [U_4667] :
( p1_s10_fraenkel(sK570(U_4667))
| ~ sP773(U_4667) )
& ! [U_4667] :
( U_4667 = sK570(U_4667)
| ~ sP773(U_4667) )
& ! [U_4667] :
( m1_subset_1(sK570(U_4667),f1_s10_fraenkel)
| ~ sP773(U_4667) )
& ! [U_4668,U_4665] :
( r2_hidden(U_4668,a_0_18_fraenkel)
| ~ p1_s10_fraenkel(U_4665)
| U_4668 != U_4665
| ~ m1_subset_1(U_4665,f1_s10_fraenkel) )
& ! [U_4667] :
( sP773(U_4667)
| ~ r2_hidden(U_4667,a_0_18_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP773])],[f_1660_4]) ).
cnf(f_1660_6,plain,
( sP773(U_4667)
| ~ r2_hidden(U_4667,a_0_18_fraenkel) ),
inference(clausify,[status(thm)],[f_1660_5]) ).
cnf(f_1660_7,plain,
( r2_hidden(U_4668,a_0_18_fraenkel)
| ~ p1_s10_fraenkel(U_4665)
| U_4668 != U_4665
| ~ m1_subset_1(U_4665,f1_s10_fraenkel) ),
inference(clausify,[status(thm)],[f_1660_5]) ).
cnf(f_1660_8,plain,
( m1_subset_1(sK570(U_4667),f1_s10_fraenkel)
| ~ sP773(U_4667) ),
inference(clausify,[status(thm)],[f_1660_5]) ).
cnf(f_1660_9,plain,
( U_4667 = sK570(U_4667)
| ~ sP773(U_4667) ),
inference(clausify,[status(thm)],[f_1660_5]) ).
cnf(f_1660_10,plain,
( p1_s10_fraenkel(sK570(U_4667))
| ~ sP773(U_4667) ),
inference(clausify,[status(thm)],[f_1660_5]) ).
fof(f_1661_1,plain,
! [A] :
( ( r2_hidden(A,a_0_19_fraenkel)
| ! [B,C] :
( ~ p1_s11_fraenkel(B,C)
| A != f3_s11_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s11_fraenkel)
| ~ m1_subset_1(B,f1_s11_fraenkel) ) )
& ( ? [B,C] :
( p1_s11_fraenkel(B,C)
& A = f3_s11_fraenkel(B,C)
& m1_subset_1(C,f2_s11_fraenkel)
& m1_subset_1(B,f1_s11_fraenkel) )
| ~ r2_hidden(A,a_0_19_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_19_fraenkel]) ).
fof(f_1661_2,plain,
! [U_4673] :
( ( r2_hidden(U_4673,a_0_19_fraenkel)
| ! [U_4672,U_4671] :
( ~ p1_s11_fraenkel(U_4672,U_4671)
| U_4673 != f3_s11_fraenkel(U_4672,U_4671)
| ~ m1_subset_1(U_4671,f2_s11_fraenkel)
| ~ m1_subset_1(U_4672,f1_s11_fraenkel) ) )
& ( ? [U_4670,U_4669] :
( p1_s11_fraenkel(U_4670,U_4669)
& U_4673 = f3_s11_fraenkel(U_4670,U_4669)
& m1_subset_1(U_4669,f2_s11_fraenkel)
& m1_subset_1(U_4670,f1_s11_fraenkel) )
| ~ r2_hidden(U_4673,a_0_19_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1661_1]) ).
fof(f_1661_3,plain,
( ! [U_4675] :
( r2_hidden(U_4675,a_0_19_fraenkel)
| ! [U_4672] :
( ! [U_4671] :
( ~ p1_s11_fraenkel(U_4672,U_4671)
| U_4675 != f3_s11_fraenkel(U_4672,U_4671)
| ~ m1_subset_1(U_4671,f2_s11_fraenkel) )
| ~ m1_subset_1(U_4672,f1_s11_fraenkel) ) )
& ! [U_4674] :
( ? [U_4670] :
( ? [U_4669] :
( p1_s11_fraenkel(U_4670,U_4669)
& U_4674 = f3_s11_fraenkel(U_4670,U_4669)
& m1_subset_1(U_4669,f2_s11_fraenkel) )
& m1_subset_1(U_4670,f1_s11_fraenkel) )
| ~ r2_hidden(U_4674,a_0_19_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1661_2]) ).
fof(f_1661_4,plain,
( ! [U_4675] :
( r2_hidden(U_4675,a_0_19_fraenkel)
| ! [U_4672] :
( ! [U_4671] :
( ~ p1_s11_fraenkel(U_4672,U_4671)
| U_4675 != f3_s11_fraenkel(U_4672,U_4671)
| ~ m1_subset_1(U_4671,f2_s11_fraenkel) )
| ~ m1_subset_1(U_4672,f1_s11_fraenkel) ) )
& ! [U_4674] :
( ( ? [U_4669] :
( p1_s11_fraenkel(sK571(U_4674),U_4669)
& U_4674 = f3_s11_fraenkel(sK571(U_4674),U_4669)
& m1_subset_1(U_4669,f2_s11_fraenkel) )
& m1_subset_1(sK571(U_4674),f1_s11_fraenkel) )
| ~ r2_hidden(U_4674,a_0_19_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK571]),skolemize(U_4670,sK571(U_4674))],[f_1661_3]) ).
fof(f_1661_5,plain,
( ! [U_4675] :
( r2_hidden(U_4675,a_0_19_fraenkel)
| ! [U_4672] :
( ! [U_4671] :
( ~ p1_s11_fraenkel(U_4672,U_4671)
| U_4675 != f3_s11_fraenkel(U_4672,U_4671)
| ~ m1_subset_1(U_4671,f2_s11_fraenkel) )
| ~ m1_subset_1(U_4672,f1_s11_fraenkel) ) )
& ! [U_4674] :
( ( p1_s11_fraenkel(sK571(U_4674),sK572(U_4674))
& U_4674 = f3_s11_fraenkel(sK571(U_4674),sK572(U_4674))
& m1_subset_1(sK572(U_4674),f2_s11_fraenkel)
& m1_subset_1(sK571(U_4674),f1_s11_fraenkel) )
| ~ r2_hidden(U_4674,a_0_19_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK572]),skolemize(U_4669,sK572(U_4674))],[f_1661_4]) ).
fof(f_1661_6,plain,
( ! [U_4674] :
( p1_s11_fraenkel(sK571(U_4674),sK572(U_4674))
| ~ sP774(U_4674) )
& ! [U_4674] :
( U_4674 = f3_s11_fraenkel(sK571(U_4674),sK572(U_4674))
| ~ sP774(U_4674) )
& ! [U_4674] :
( m1_subset_1(sK572(U_4674),f2_s11_fraenkel)
| ~ sP774(U_4674) )
& ! [U_4674] :
( m1_subset_1(sK571(U_4674),f1_s11_fraenkel)
| ~ sP774(U_4674) )
& ! [U_4675,U_4671,U_4672] :
( r2_hidden(U_4675,a_0_19_fraenkel)
| ~ p1_s11_fraenkel(U_4672,U_4671)
| U_4675 != f3_s11_fraenkel(U_4672,U_4671)
| ~ m1_subset_1(U_4671,f2_s11_fraenkel)
| ~ m1_subset_1(U_4672,f1_s11_fraenkel) )
& ! [U_4674] :
( sP774(U_4674)
| ~ r2_hidden(U_4674,a_0_19_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP774])],[f_1661_5]) ).
cnf(f_1661_7,plain,
( sP774(U_4674)
| ~ r2_hidden(U_4674,a_0_19_fraenkel) ),
inference(clausify,[status(thm)],[f_1661_6]) ).
cnf(f_1661_8,plain,
( r2_hidden(U_4675,a_0_19_fraenkel)
| ~ p1_s11_fraenkel(U_4672,U_4671)
| U_4675 != f3_s11_fraenkel(U_4672,U_4671)
| ~ m1_subset_1(U_4671,f2_s11_fraenkel)
| ~ m1_subset_1(U_4672,f1_s11_fraenkel) ),
inference(clausify,[status(thm)],[f_1661_6]) ).
cnf(f_1661_9,plain,
( m1_subset_1(sK571(U_4674),f1_s11_fraenkel)
| ~ sP774(U_4674) ),
inference(clausify,[status(thm)],[f_1661_6]) ).
cnf(f_1661_10,plain,
( m1_subset_1(sK572(U_4674),f2_s11_fraenkel)
| ~ sP774(U_4674) ),
inference(clausify,[status(thm)],[f_1661_6]) ).
cnf(f_1661_11,plain,
( U_4674 = f3_s11_fraenkel(sK571(U_4674),sK572(U_4674))
| ~ sP774(U_4674) ),
inference(clausify,[status(thm)],[f_1661_6]) ).
cnf(f_1661_12,plain,
( p1_s11_fraenkel(sK571(U_4674),sK572(U_4674))
| ~ sP774(U_4674) ),
inference(clausify,[status(thm)],[f_1661_6]) ).
fof(f_1662_1,plain,
! [A] :
( ( r2_hidden(A,a_0_20_fraenkel)
| ! [B,C] :
( ~ p1_s12_fraenkel(B,C)
| A != f3_s12_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s12_fraenkel)
| ~ m1_subset_1(B,f1_s12_fraenkel) ) )
& ( ? [B,C] :
( p1_s12_fraenkel(B,C)
& A = f3_s12_fraenkel(B,C)
& m1_subset_1(C,f2_s12_fraenkel)
& m1_subset_1(B,f1_s12_fraenkel) )
| ~ r2_hidden(A,a_0_20_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_20_fraenkel]) ).
fof(f_1662_2,plain,
! [U_4680] :
( ( r2_hidden(U_4680,a_0_20_fraenkel)
| ! [U_4679,U_4678] :
( ~ p1_s12_fraenkel(U_4679,U_4678)
| U_4680 != f3_s12_fraenkel(U_4679,U_4678)
| ~ m1_subset_1(U_4678,f2_s12_fraenkel)
| ~ m1_subset_1(U_4679,f1_s12_fraenkel) ) )
& ( ? [U_4677,U_4676] :
( p1_s12_fraenkel(U_4677,U_4676)
& U_4680 = f3_s12_fraenkel(U_4677,U_4676)
& m1_subset_1(U_4676,f2_s12_fraenkel)
& m1_subset_1(U_4677,f1_s12_fraenkel) )
| ~ r2_hidden(U_4680,a_0_20_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1662_1]) ).
fof(f_1662_3,plain,
( ! [U_4682] :
( r2_hidden(U_4682,a_0_20_fraenkel)
| ! [U_4679] :
( ! [U_4678] :
( ~ p1_s12_fraenkel(U_4679,U_4678)
| U_4682 != f3_s12_fraenkel(U_4679,U_4678)
| ~ m1_subset_1(U_4678,f2_s12_fraenkel) )
| ~ m1_subset_1(U_4679,f1_s12_fraenkel) ) )
& ! [U_4681] :
( ? [U_4677] :
( ? [U_4676] :
( p1_s12_fraenkel(U_4677,U_4676)
& U_4681 = f3_s12_fraenkel(U_4677,U_4676)
& m1_subset_1(U_4676,f2_s12_fraenkel) )
& m1_subset_1(U_4677,f1_s12_fraenkel) )
| ~ r2_hidden(U_4681,a_0_20_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1662_2]) ).
fof(f_1662_4,plain,
( ! [U_4682] :
( r2_hidden(U_4682,a_0_20_fraenkel)
| ! [U_4679] :
( ! [U_4678] :
( ~ p1_s12_fraenkel(U_4679,U_4678)
| U_4682 != f3_s12_fraenkel(U_4679,U_4678)
| ~ m1_subset_1(U_4678,f2_s12_fraenkel) )
| ~ m1_subset_1(U_4679,f1_s12_fraenkel) ) )
& ! [U_4681] :
( ( ? [U_4676] :
( p1_s12_fraenkel(sK573(U_4681),U_4676)
& U_4681 = f3_s12_fraenkel(sK573(U_4681),U_4676)
& m1_subset_1(U_4676,f2_s12_fraenkel) )
& m1_subset_1(sK573(U_4681),f1_s12_fraenkel) )
| ~ r2_hidden(U_4681,a_0_20_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK573]),skolemize(U_4677,sK573(U_4681))],[f_1662_3]) ).
fof(f_1662_5,plain,
( ! [U_4682] :
( r2_hidden(U_4682,a_0_20_fraenkel)
| ! [U_4679] :
( ! [U_4678] :
( ~ p1_s12_fraenkel(U_4679,U_4678)
| U_4682 != f3_s12_fraenkel(U_4679,U_4678)
| ~ m1_subset_1(U_4678,f2_s12_fraenkel) )
| ~ m1_subset_1(U_4679,f1_s12_fraenkel) ) )
& ! [U_4681] :
( ( p1_s12_fraenkel(sK573(U_4681),sK574(U_4681))
& U_4681 = f3_s12_fraenkel(sK573(U_4681),sK574(U_4681))
& m1_subset_1(sK574(U_4681),f2_s12_fraenkel)
& m1_subset_1(sK573(U_4681),f1_s12_fraenkel) )
| ~ r2_hidden(U_4681,a_0_20_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK574]),skolemize(U_4676,sK574(U_4681))],[f_1662_4]) ).
fof(f_1662_6,plain,
( ! [U_4681] :
( p1_s12_fraenkel(sK573(U_4681),sK574(U_4681))
| ~ sP775(U_4681) )
& ! [U_4681] :
( U_4681 = f3_s12_fraenkel(sK573(U_4681),sK574(U_4681))
| ~ sP775(U_4681) )
& ! [U_4681] :
( m1_subset_1(sK574(U_4681),f2_s12_fraenkel)
| ~ sP775(U_4681) )
& ! [U_4681] :
( m1_subset_1(sK573(U_4681),f1_s12_fraenkel)
| ~ sP775(U_4681) )
& ! [U_4682,U_4679,U_4678] :
( r2_hidden(U_4682,a_0_20_fraenkel)
| ~ p1_s12_fraenkel(U_4679,U_4678)
| U_4682 != f3_s12_fraenkel(U_4679,U_4678)
| ~ m1_subset_1(U_4678,f2_s12_fraenkel)
| ~ m1_subset_1(U_4679,f1_s12_fraenkel) )
& ! [U_4681] :
( sP775(U_4681)
| ~ r2_hidden(U_4681,a_0_20_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP775])],[f_1662_5]) ).
cnf(f_1662_7,plain,
( sP775(U_4681)
| ~ r2_hidden(U_4681,a_0_20_fraenkel) ),
inference(clausify,[status(thm)],[f_1662_6]) ).
cnf(f_1662_8,plain,
( r2_hidden(U_4682,a_0_20_fraenkel)
| ~ p1_s12_fraenkel(U_4679,U_4678)
| U_4682 != f3_s12_fraenkel(U_4679,U_4678)
| ~ m1_subset_1(U_4678,f2_s12_fraenkel)
| ~ m1_subset_1(U_4679,f1_s12_fraenkel) ),
inference(clausify,[status(thm)],[f_1662_6]) ).
cnf(f_1662_9,plain,
( m1_subset_1(sK573(U_4681),f1_s12_fraenkel)
| ~ sP775(U_4681) ),
inference(clausify,[status(thm)],[f_1662_6]) ).
cnf(f_1662_10,plain,
( m1_subset_1(sK574(U_4681),f2_s12_fraenkel)
| ~ sP775(U_4681) ),
inference(clausify,[status(thm)],[f_1662_6]) ).
cnf(f_1662_11,plain,
( U_4681 = f3_s12_fraenkel(sK573(U_4681),sK574(U_4681))
| ~ sP775(U_4681) ),
inference(clausify,[status(thm)],[f_1662_6]) ).
cnf(f_1662_12,plain,
( p1_s12_fraenkel(sK573(U_4681),sK574(U_4681))
| ~ sP775(U_4681) ),
inference(clausify,[status(thm)],[f_1662_6]) ).
fof(f_1663_1,plain,
! [A] :
( ( r2_hidden(A,a_0_21_fraenkel)
| ! [B] :
( ~ p2_s13_fraenkel(B)
| ~ r2_hidden(B,a_0_22_fraenkel)
| A != B
| ~ m1_subset_1(B,f3_s13_fraenkel) ) )
& ( ? [B] :
( p2_s13_fraenkel(B)
& r2_hidden(B,a_0_22_fraenkel)
& A = B
& m1_subset_1(B,f3_s13_fraenkel) )
| ~ r2_hidden(A,a_0_21_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_21_fraenkel]) ).
fof(f_1663_2,plain,
! [U_4685] :
( ( r2_hidden(U_4685,a_0_21_fraenkel)
| ! [U_4684] :
( ~ p2_s13_fraenkel(U_4684)
| ~ r2_hidden(U_4684,a_0_22_fraenkel)
| U_4685 != U_4684
| ~ m1_subset_1(U_4684,f3_s13_fraenkel) ) )
& ( ? [U_4683] :
( p2_s13_fraenkel(U_4683)
& r2_hidden(U_4683,a_0_22_fraenkel)
& U_4685 = U_4683
& m1_subset_1(U_4683,f3_s13_fraenkel) )
| ~ r2_hidden(U_4685,a_0_21_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1663_1]) ).
fof(f_1663_3,plain,
( ! [U_4687] :
( r2_hidden(U_4687,a_0_21_fraenkel)
| ! [U_4684] :
( ~ p2_s13_fraenkel(U_4684)
| ~ r2_hidden(U_4684,a_0_22_fraenkel)
| U_4687 != U_4684
| ~ m1_subset_1(U_4684,f3_s13_fraenkel) ) )
& ! [U_4686] :
( ? [U_4683] :
( p2_s13_fraenkel(U_4683)
& r2_hidden(U_4683,a_0_22_fraenkel)
& U_4686 = U_4683
& m1_subset_1(U_4683,f3_s13_fraenkel) )
| ~ r2_hidden(U_4686,a_0_21_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1663_2]) ).
fof(f_1663_4,plain,
( ! [U_4687] :
( r2_hidden(U_4687,a_0_21_fraenkel)
| ! [U_4684] :
( ~ p2_s13_fraenkel(U_4684)
| ~ r2_hidden(U_4684,a_0_22_fraenkel)
| U_4687 != U_4684
| ~ m1_subset_1(U_4684,f3_s13_fraenkel) ) )
& ! [U_4686] :
( ( p2_s13_fraenkel(sK575(U_4686))
& r2_hidden(sK575(U_4686),a_0_22_fraenkel)
& U_4686 = sK575(U_4686)
& m1_subset_1(sK575(U_4686),f3_s13_fraenkel) )
| ~ r2_hidden(U_4686,a_0_21_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK575]),skolemize(U_4683,sK575(U_4686))],[f_1663_3]) ).
fof(f_1663_5,plain,
( ! [U_4686] :
( p2_s13_fraenkel(sK575(U_4686))
| ~ sP776(U_4686) )
& ! [U_4686] :
( r2_hidden(sK575(U_4686),a_0_22_fraenkel)
| ~ sP776(U_4686) )
& ! [U_4686] :
( U_4686 = sK575(U_4686)
| ~ sP776(U_4686) )
& ! [U_4686] :
( m1_subset_1(sK575(U_4686),f3_s13_fraenkel)
| ~ sP776(U_4686) )
& ! [U_4684,U_4687] :
( r2_hidden(U_4687,a_0_21_fraenkel)
| ~ p2_s13_fraenkel(U_4684)
| ~ r2_hidden(U_4684,a_0_22_fraenkel)
| U_4687 != U_4684
| ~ m1_subset_1(U_4684,f3_s13_fraenkel) )
& ! [U_4686] :
( sP776(U_4686)
| ~ r2_hidden(U_4686,a_0_21_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP776])],[f_1663_4]) ).
cnf(f_1663_6,plain,
( sP776(U_4686)
| ~ r2_hidden(U_4686,a_0_21_fraenkel) ),
inference(clausify,[status(thm)],[f_1663_5]) ).
cnf(f_1663_7,plain,
( r2_hidden(U_4687,a_0_21_fraenkel)
| ~ p2_s13_fraenkel(U_4684)
| ~ r2_hidden(U_4684,a_0_22_fraenkel)
| U_4687 != U_4684
| ~ m1_subset_1(U_4684,f3_s13_fraenkel) ),
inference(clausify,[status(thm)],[f_1663_5]) ).
cnf(f_1663_8,plain,
( m1_subset_1(sK575(U_4686),f3_s13_fraenkel)
| ~ sP776(U_4686) ),
inference(clausify,[status(thm)],[f_1663_5]) ).
cnf(f_1663_9,plain,
( U_4686 = sK575(U_4686)
| ~ sP776(U_4686) ),
inference(clausify,[status(thm)],[f_1663_5]) ).
cnf(f_1663_10,plain,
( r2_hidden(sK575(U_4686),a_0_22_fraenkel)
| ~ sP776(U_4686) ),
inference(clausify,[status(thm)],[f_1663_5]) ).
cnf(f_1663_11,plain,
( p2_s13_fraenkel(sK575(U_4686))
| ~ sP776(U_4686) ),
inference(clausify,[status(thm)],[f_1663_5]) ).
fof(f_1664_1,plain,
! [A] :
( ( r2_hidden(A,a_0_22_fraenkel)
| ! [B,C] :
( ~ p1_s13_fraenkel(B,C)
| A != f4_s13_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s13_fraenkel)
| ~ m1_subset_1(B,f1_s13_fraenkel) ) )
& ( ? [B,C] :
( p1_s13_fraenkel(B,C)
& A = f4_s13_fraenkel(B,C)
& m1_subset_1(C,f2_s13_fraenkel)
& m1_subset_1(B,f1_s13_fraenkel) )
| ~ r2_hidden(A,a_0_22_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_22_fraenkel]) ).
fof(f_1664_2,plain,
! [U_4692] :
( ( r2_hidden(U_4692,a_0_22_fraenkel)
| ! [U_4691,U_4690] :
( ~ p1_s13_fraenkel(U_4691,U_4690)
| U_4692 != f4_s13_fraenkel(U_4691,U_4690)
| ~ m1_subset_1(U_4690,f2_s13_fraenkel)
| ~ m1_subset_1(U_4691,f1_s13_fraenkel) ) )
& ( ? [U_4689,U_4688] :
( p1_s13_fraenkel(U_4689,U_4688)
& U_4692 = f4_s13_fraenkel(U_4689,U_4688)
& m1_subset_1(U_4688,f2_s13_fraenkel)
& m1_subset_1(U_4689,f1_s13_fraenkel) )
| ~ r2_hidden(U_4692,a_0_22_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1664_1]) ).
fof(f_1664_3,plain,
( ! [U_4694] :
( r2_hidden(U_4694,a_0_22_fraenkel)
| ! [U_4691] :
( ! [U_4690] :
( ~ p1_s13_fraenkel(U_4691,U_4690)
| U_4694 != f4_s13_fraenkel(U_4691,U_4690)
| ~ m1_subset_1(U_4690,f2_s13_fraenkel) )
| ~ m1_subset_1(U_4691,f1_s13_fraenkel) ) )
& ! [U_4693] :
( ? [U_4689] :
( ? [U_4688] :
( p1_s13_fraenkel(U_4689,U_4688)
& U_4693 = f4_s13_fraenkel(U_4689,U_4688)
& m1_subset_1(U_4688,f2_s13_fraenkel) )
& m1_subset_1(U_4689,f1_s13_fraenkel) )
| ~ r2_hidden(U_4693,a_0_22_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1664_2]) ).
fof(f_1664_4,plain,
( ! [U_4694] :
( r2_hidden(U_4694,a_0_22_fraenkel)
| ! [U_4691] :
( ! [U_4690] :
( ~ p1_s13_fraenkel(U_4691,U_4690)
| U_4694 != f4_s13_fraenkel(U_4691,U_4690)
| ~ m1_subset_1(U_4690,f2_s13_fraenkel) )
| ~ m1_subset_1(U_4691,f1_s13_fraenkel) ) )
& ! [U_4693] :
( ( ? [U_4688] :
( p1_s13_fraenkel(sK576(U_4693),U_4688)
& U_4693 = f4_s13_fraenkel(sK576(U_4693),U_4688)
& m1_subset_1(U_4688,f2_s13_fraenkel) )
& m1_subset_1(sK576(U_4693),f1_s13_fraenkel) )
| ~ r2_hidden(U_4693,a_0_22_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK576]),skolemize(U_4689,sK576(U_4693))],[f_1664_3]) ).
fof(f_1664_5,plain,
( ! [U_4694] :
( r2_hidden(U_4694,a_0_22_fraenkel)
| ! [U_4691] :
( ! [U_4690] :
( ~ p1_s13_fraenkel(U_4691,U_4690)
| U_4694 != f4_s13_fraenkel(U_4691,U_4690)
| ~ m1_subset_1(U_4690,f2_s13_fraenkel) )
| ~ m1_subset_1(U_4691,f1_s13_fraenkel) ) )
& ! [U_4693] :
( ( p1_s13_fraenkel(sK576(U_4693),sK577(U_4693))
& U_4693 = f4_s13_fraenkel(sK576(U_4693),sK577(U_4693))
& m1_subset_1(sK577(U_4693),f2_s13_fraenkel)
& m1_subset_1(sK576(U_4693),f1_s13_fraenkel) )
| ~ r2_hidden(U_4693,a_0_22_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK577]),skolemize(U_4688,sK577(U_4693))],[f_1664_4]) ).
fof(f_1664_6,plain,
( ! [U_4693] :
( p1_s13_fraenkel(sK576(U_4693),sK577(U_4693))
| ~ sP777(U_4693) )
& ! [U_4693] :
( U_4693 = f4_s13_fraenkel(sK576(U_4693),sK577(U_4693))
| ~ sP777(U_4693) )
& ! [U_4693] :
( m1_subset_1(sK577(U_4693),f2_s13_fraenkel)
| ~ sP777(U_4693) )
& ! [U_4693] :
( m1_subset_1(sK576(U_4693),f1_s13_fraenkel)
| ~ sP777(U_4693) )
& ! [U_4691,U_4694,U_4690] :
( r2_hidden(U_4694,a_0_22_fraenkel)
| ~ p1_s13_fraenkel(U_4691,U_4690)
| U_4694 != f4_s13_fraenkel(U_4691,U_4690)
| ~ m1_subset_1(U_4690,f2_s13_fraenkel)
| ~ m1_subset_1(U_4691,f1_s13_fraenkel) )
& ! [U_4693] :
( sP777(U_4693)
| ~ r2_hidden(U_4693,a_0_22_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP777])],[f_1664_5]) ).
cnf(f_1664_7,plain,
( sP777(U_4693)
| ~ r2_hidden(U_4693,a_0_22_fraenkel) ),
inference(clausify,[status(thm)],[f_1664_6]) ).
cnf(f_1664_8,plain,
( r2_hidden(U_4694,a_0_22_fraenkel)
| ~ p1_s13_fraenkel(U_4691,U_4690)
| U_4694 != f4_s13_fraenkel(U_4691,U_4690)
| ~ m1_subset_1(U_4690,f2_s13_fraenkel)
| ~ m1_subset_1(U_4691,f1_s13_fraenkel) ),
inference(clausify,[status(thm)],[f_1664_6]) ).
cnf(f_1664_9,plain,
( m1_subset_1(sK576(U_4693),f1_s13_fraenkel)
| ~ sP777(U_4693) ),
inference(clausify,[status(thm)],[f_1664_6]) ).
cnf(f_1664_10,plain,
( m1_subset_1(sK577(U_4693),f2_s13_fraenkel)
| ~ sP777(U_4693) ),
inference(clausify,[status(thm)],[f_1664_6]) ).
cnf(f_1664_11,plain,
( U_4693 = f4_s13_fraenkel(sK576(U_4693),sK577(U_4693))
| ~ sP777(U_4693) ),
inference(clausify,[status(thm)],[f_1664_6]) ).
cnf(f_1664_12,plain,
( p1_s13_fraenkel(sK576(U_4693),sK577(U_4693))
| ~ sP777(U_4693) ),
inference(clausify,[status(thm)],[f_1664_6]) ).
fof(f_1665_1,plain,
! [A] :
( ( r2_hidden(A,a_0_23_fraenkel)
| ! [B,C] :
( ~ p2_s13_fraenkel(f4_s13_fraenkel(B,C))
| ~ p1_s13_fraenkel(B,C)
| A != f4_s13_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s13_fraenkel)
| ~ m1_subset_1(B,f1_s13_fraenkel) ) )
& ( ? [B,C] :
( p2_s13_fraenkel(f4_s13_fraenkel(B,C))
& p1_s13_fraenkel(B,C)
& A = f4_s13_fraenkel(B,C)
& m1_subset_1(C,f2_s13_fraenkel)
& m1_subset_1(B,f1_s13_fraenkel) )
| ~ r2_hidden(A,a_0_23_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_23_fraenkel]) ).
fof(f_1665_2,plain,
! [U_4699] :
( ( r2_hidden(U_4699,a_0_23_fraenkel)
| ! [U_4698,U_4697] :
( ~ p2_s13_fraenkel(f4_s13_fraenkel(U_4698,U_4697))
| ~ p1_s13_fraenkel(U_4698,U_4697)
| U_4699 != f4_s13_fraenkel(U_4698,U_4697)
| ~ m1_subset_1(U_4697,f2_s13_fraenkel)
| ~ m1_subset_1(U_4698,f1_s13_fraenkel) ) )
& ( ? [U_4696,U_4695] :
( p2_s13_fraenkel(f4_s13_fraenkel(U_4696,U_4695))
& p1_s13_fraenkel(U_4696,U_4695)
& U_4699 = f4_s13_fraenkel(U_4696,U_4695)
& m1_subset_1(U_4695,f2_s13_fraenkel)
& m1_subset_1(U_4696,f1_s13_fraenkel) )
| ~ r2_hidden(U_4699,a_0_23_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1665_1]) ).
fof(f_1665_3,plain,
( ! [U_4701] :
( r2_hidden(U_4701,a_0_23_fraenkel)
| ! [U_4698] :
( ! [U_4697] :
( ~ p2_s13_fraenkel(f4_s13_fraenkel(U_4698,U_4697))
| ~ p1_s13_fraenkel(U_4698,U_4697)
| U_4701 != f4_s13_fraenkel(U_4698,U_4697)
| ~ m1_subset_1(U_4697,f2_s13_fraenkel) )
| ~ m1_subset_1(U_4698,f1_s13_fraenkel) ) )
& ! [U_4700] :
( ? [U_4696] :
( ? [U_4695] :
( p2_s13_fraenkel(f4_s13_fraenkel(U_4696,U_4695))
& p1_s13_fraenkel(U_4696,U_4695)
& U_4700 = f4_s13_fraenkel(U_4696,U_4695)
& m1_subset_1(U_4695,f2_s13_fraenkel) )
& m1_subset_1(U_4696,f1_s13_fraenkel) )
| ~ r2_hidden(U_4700,a_0_23_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1665_2]) ).
fof(f_1665_4,plain,
( ! [U_4701] :
( r2_hidden(U_4701,a_0_23_fraenkel)
| ! [U_4698] :
( ! [U_4697] :
( ~ p2_s13_fraenkel(f4_s13_fraenkel(U_4698,U_4697))
| ~ p1_s13_fraenkel(U_4698,U_4697)
| U_4701 != f4_s13_fraenkel(U_4698,U_4697)
| ~ m1_subset_1(U_4697,f2_s13_fraenkel) )
| ~ m1_subset_1(U_4698,f1_s13_fraenkel) ) )
& ! [U_4700] :
( ( ? [U_4695] :
( p2_s13_fraenkel(f4_s13_fraenkel(sK578(U_4700),U_4695))
& p1_s13_fraenkel(sK578(U_4700),U_4695)
& U_4700 = f4_s13_fraenkel(sK578(U_4700),U_4695)
& m1_subset_1(U_4695,f2_s13_fraenkel) )
& m1_subset_1(sK578(U_4700),f1_s13_fraenkel) )
| ~ r2_hidden(U_4700,a_0_23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK578]),skolemize(U_4696,sK578(U_4700))],[f_1665_3]) ).
fof(f_1665_5,plain,
( ! [U_4701] :
( r2_hidden(U_4701,a_0_23_fraenkel)
| ! [U_4698] :
( ! [U_4697] :
( ~ p2_s13_fraenkel(f4_s13_fraenkel(U_4698,U_4697))
| ~ p1_s13_fraenkel(U_4698,U_4697)
| U_4701 != f4_s13_fraenkel(U_4698,U_4697)
| ~ m1_subset_1(U_4697,f2_s13_fraenkel) )
| ~ m1_subset_1(U_4698,f1_s13_fraenkel) ) )
& ! [U_4700] :
( ( p2_s13_fraenkel(f4_s13_fraenkel(sK578(U_4700),sK579(U_4700)))
& p1_s13_fraenkel(sK578(U_4700),sK579(U_4700))
& U_4700 = f4_s13_fraenkel(sK578(U_4700),sK579(U_4700))
& m1_subset_1(sK579(U_4700),f2_s13_fraenkel)
& m1_subset_1(sK578(U_4700),f1_s13_fraenkel) )
| ~ r2_hidden(U_4700,a_0_23_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK579]),skolemize(U_4695,sK579(U_4700))],[f_1665_4]) ).
fof(f_1665_6,plain,
( ! [U_4700] :
( p2_s13_fraenkel(f4_s13_fraenkel(sK578(U_4700),sK579(U_4700)))
| ~ sP778(U_4700) )
& ! [U_4700] :
( p1_s13_fraenkel(sK578(U_4700),sK579(U_4700))
| ~ sP778(U_4700) )
& ! [U_4700] :
( U_4700 = f4_s13_fraenkel(sK578(U_4700),sK579(U_4700))
| ~ sP778(U_4700) )
& ! [U_4700] :
( m1_subset_1(sK579(U_4700),f2_s13_fraenkel)
| ~ sP778(U_4700) )
& ! [U_4700] :
( m1_subset_1(sK578(U_4700),f1_s13_fraenkel)
| ~ sP778(U_4700) )
& ! [U_4697,U_4698,U_4701] :
( r2_hidden(U_4701,a_0_23_fraenkel)
| ~ p2_s13_fraenkel(f4_s13_fraenkel(U_4698,U_4697))
| ~ p1_s13_fraenkel(U_4698,U_4697)
| U_4701 != f4_s13_fraenkel(U_4698,U_4697)
| ~ m1_subset_1(U_4697,f2_s13_fraenkel)
| ~ m1_subset_1(U_4698,f1_s13_fraenkel) )
& ! [U_4700] :
( sP778(U_4700)
| ~ r2_hidden(U_4700,a_0_23_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP778])],[f_1665_5]) ).
cnf(f_1665_7,plain,
( sP778(U_4700)
| ~ r2_hidden(U_4700,a_0_23_fraenkel) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
cnf(f_1665_8,plain,
( r2_hidden(U_4701,a_0_23_fraenkel)
| ~ p2_s13_fraenkel(f4_s13_fraenkel(U_4698,U_4697))
| ~ p1_s13_fraenkel(U_4698,U_4697)
| U_4701 != f4_s13_fraenkel(U_4698,U_4697)
| ~ m1_subset_1(U_4697,f2_s13_fraenkel)
| ~ m1_subset_1(U_4698,f1_s13_fraenkel) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
cnf(f_1665_9,plain,
( m1_subset_1(sK578(U_4700),f1_s13_fraenkel)
| ~ sP778(U_4700) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
cnf(f_1665_10,plain,
( m1_subset_1(sK579(U_4700),f2_s13_fraenkel)
| ~ sP778(U_4700) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
cnf(f_1665_11,plain,
( U_4700 = f4_s13_fraenkel(sK578(U_4700),sK579(U_4700))
| ~ sP778(U_4700) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
cnf(f_1665_12,plain,
( p1_s13_fraenkel(sK578(U_4700),sK579(U_4700))
| ~ sP778(U_4700) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
cnf(f_1665_13,plain,
( p2_s13_fraenkel(f4_s13_fraenkel(sK578(U_4700),sK579(U_4700)))
| ~ sP778(U_4700) ),
inference(clausify,[status(thm)],[f_1665_6]) ).
fof(f_1666_1,plain,
! [A] :
( ( r2_hidden(A,a_0_24_fraenkel)
| ! [B] :
( ~ p1_s14_fraenkel(B)
| ~ r2_hidden(B,a_0_25_fraenkel)
| A != f2_s14_fraenkel(B)
| ~ m1_subset_1(B,f1_s14_fraenkel) ) )
& ( ? [B] :
( p1_s14_fraenkel(B)
& r2_hidden(B,a_0_25_fraenkel)
& A = f2_s14_fraenkel(B)
& m1_subset_1(B,f1_s14_fraenkel) )
| ~ r2_hidden(A,a_0_24_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_24_fraenkel]) ).
fof(f_1666_2,plain,
! [U_4704] :
( ( r2_hidden(U_4704,a_0_24_fraenkel)
| ! [U_4703] :
( ~ p1_s14_fraenkel(U_4703)
| ~ r2_hidden(U_4703,a_0_25_fraenkel)
| U_4704 != f2_s14_fraenkel(U_4703)
| ~ m1_subset_1(U_4703,f1_s14_fraenkel) ) )
& ( ? [U_4702] :
( p1_s14_fraenkel(U_4702)
& r2_hidden(U_4702,a_0_25_fraenkel)
& U_4704 = f2_s14_fraenkel(U_4702)
& m1_subset_1(U_4702,f1_s14_fraenkel) )
| ~ r2_hidden(U_4704,a_0_24_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1666_1]) ).
fof(f_1666_3,plain,
( ! [U_4706] :
( r2_hidden(U_4706,a_0_24_fraenkel)
| ! [U_4703] :
( ~ p1_s14_fraenkel(U_4703)
| ~ r2_hidden(U_4703,a_0_25_fraenkel)
| U_4706 != f2_s14_fraenkel(U_4703)
| ~ m1_subset_1(U_4703,f1_s14_fraenkel) ) )
& ! [U_4705] :
( ? [U_4702] :
( p1_s14_fraenkel(U_4702)
& r2_hidden(U_4702,a_0_25_fraenkel)
& U_4705 = f2_s14_fraenkel(U_4702)
& m1_subset_1(U_4702,f1_s14_fraenkel) )
| ~ r2_hidden(U_4705,a_0_24_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1666_2]) ).
fof(f_1666_4,plain,
( ! [U_4706] :
( r2_hidden(U_4706,a_0_24_fraenkel)
| ! [U_4703] :
( ~ p1_s14_fraenkel(U_4703)
| ~ r2_hidden(U_4703,a_0_25_fraenkel)
| U_4706 != f2_s14_fraenkel(U_4703)
| ~ m1_subset_1(U_4703,f1_s14_fraenkel) ) )
& ! [U_4705] :
( ( p1_s14_fraenkel(sK580(U_4705))
& r2_hidden(sK580(U_4705),a_0_25_fraenkel)
& U_4705 = f2_s14_fraenkel(sK580(U_4705))
& m1_subset_1(sK580(U_4705),f1_s14_fraenkel) )
| ~ r2_hidden(U_4705,a_0_24_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK580]),skolemize(U_4702,sK580(U_4705))],[f_1666_3]) ).
fof(f_1666_5,plain,
( ! [U_4705] :
( p1_s14_fraenkel(sK580(U_4705))
| ~ sP779(U_4705) )
& ! [U_4705] :
( r2_hidden(sK580(U_4705),a_0_25_fraenkel)
| ~ sP779(U_4705) )
& ! [U_4705] :
( U_4705 = f2_s14_fraenkel(sK580(U_4705))
| ~ sP779(U_4705) )
& ! [U_4705] :
( m1_subset_1(sK580(U_4705),f1_s14_fraenkel)
| ~ sP779(U_4705) )
& ! [U_4703,U_4706] :
( r2_hidden(U_4706,a_0_24_fraenkel)
| ~ p1_s14_fraenkel(U_4703)
| ~ r2_hidden(U_4703,a_0_25_fraenkel)
| U_4706 != f2_s14_fraenkel(U_4703)
| ~ m1_subset_1(U_4703,f1_s14_fraenkel) )
& ! [U_4705] :
( sP779(U_4705)
| ~ r2_hidden(U_4705,a_0_24_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP779])],[f_1666_4]) ).
cnf(f_1666_6,plain,
( sP779(U_4705)
| ~ r2_hidden(U_4705,a_0_24_fraenkel) ),
inference(clausify,[status(thm)],[f_1666_5]) ).
cnf(f_1666_7,plain,
( r2_hidden(U_4706,a_0_24_fraenkel)
| ~ p1_s14_fraenkel(U_4703)
| ~ r2_hidden(U_4703,a_0_25_fraenkel)
| U_4706 != f2_s14_fraenkel(U_4703)
| ~ m1_subset_1(U_4703,f1_s14_fraenkel) ),
inference(clausify,[status(thm)],[f_1666_5]) ).
cnf(f_1666_8,plain,
( m1_subset_1(sK580(U_4705),f1_s14_fraenkel)
| ~ sP779(U_4705) ),
inference(clausify,[status(thm)],[f_1666_5]) ).
cnf(f_1666_9,plain,
( U_4705 = f2_s14_fraenkel(sK580(U_4705))
| ~ sP779(U_4705) ),
inference(clausify,[status(thm)],[f_1666_5]) ).
cnf(f_1666_10,plain,
( r2_hidden(sK580(U_4705),a_0_25_fraenkel)
| ~ sP779(U_4705) ),
inference(clausify,[status(thm)],[f_1666_5]) ).
cnf(f_1666_11,plain,
( p1_s14_fraenkel(sK580(U_4705))
| ~ sP779(U_4705) ),
inference(clausify,[status(thm)],[f_1666_5]) ).
fof(f_1667_1,plain,
! [A] :
( ( r2_hidden(A,a_0_25_fraenkel)
| ! [B] :
( ~ p2_s14_fraenkel(B)
| A != B
| ~ m1_subset_1(B,f1_s14_fraenkel) ) )
& ( ? [B] :
( p2_s14_fraenkel(B)
& A = B
& m1_subset_1(B,f1_s14_fraenkel) )
| ~ r2_hidden(A,a_0_25_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_25_fraenkel]) ).
fof(f_1667_2,plain,
! [U_4709] :
( ( r2_hidden(U_4709,a_0_25_fraenkel)
| ! [U_4708] :
( ~ p2_s14_fraenkel(U_4708)
| U_4709 != U_4708
| ~ m1_subset_1(U_4708,f1_s14_fraenkel) ) )
& ( ? [U_4707] :
( p2_s14_fraenkel(U_4707)
& U_4709 = U_4707
& m1_subset_1(U_4707,f1_s14_fraenkel) )
| ~ r2_hidden(U_4709,a_0_25_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1667_1]) ).
fof(f_1667_3,plain,
( ! [U_4711] :
( r2_hidden(U_4711,a_0_25_fraenkel)
| ! [U_4708] :
( ~ p2_s14_fraenkel(U_4708)
| U_4711 != U_4708
| ~ m1_subset_1(U_4708,f1_s14_fraenkel) ) )
& ! [U_4710] :
( ? [U_4707] :
( p2_s14_fraenkel(U_4707)
& U_4710 = U_4707
& m1_subset_1(U_4707,f1_s14_fraenkel) )
| ~ r2_hidden(U_4710,a_0_25_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1667_2]) ).
fof(f_1667_4,plain,
( ! [U_4711] :
( r2_hidden(U_4711,a_0_25_fraenkel)
| ! [U_4708] :
( ~ p2_s14_fraenkel(U_4708)
| U_4711 != U_4708
| ~ m1_subset_1(U_4708,f1_s14_fraenkel) ) )
& ! [U_4710] :
( ( p2_s14_fraenkel(sK581(U_4710))
& U_4710 = sK581(U_4710)
& m1_subset_1(sK581(U_4710),f1_s14_fraenkel) )
| ~ r2_hidden(U_4710,a_0_25_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK581]),skolemize(U_4707,sK581(U_4710))],[f_1667_3]) ).
fof(f_1667_5,plain,
( ! [U_4710] :
( p2_s14_fraenkel(sK581(U_4710))
| ~ sP780(U_4710) )
& ! [U_4710] :
( U_4710 = sK581(U_4710)
| ~ sP780(U_4710) )
& ! [U_4710] :
( m1_subset_1(sK581(U_4710),f1_s14_fraenkel)
| ~ sP780(U_4710) )
& ! [U_4711,U_4708] :
( r2_hidden(U_4711,a_0_25_fraenkel)
| ~ p2_s14_fraenkel(U_4708)
| U_4711 != U_4708
| ~ m1_subset_1(U_4708,f1_s14_fraenkel) )
& ! [U_4710] :
( sP780(U_4710)
| ~ r2_hidden(U_4710,a_0_25_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP780])],[f_1667_4]) ).
cnf(f_1667_6,plain,
( sP780(U_4710)
| ~ r2_hidden(U_4710,a_0_25_fraenkel) ),
inference(clausify,[status(thm)],[f_1667_5]) ).
cnf(f_1667_7,plain,
( r2_hidden(U_4711,a_0_25_fraenkel)
| ~ p2_s14_fraenkel(U_4708)
| U_4711 != U_4708
| ~ m1_subset_1(U_4708,f1_s14_fraenkel) ),
inference(clausify,[status(thm)],[f_1667_5]) ).
cnf(f_1667_8,plain,
( m1_subset_1(sK581(U_4710),f1_s14_fraenkel)
| ~ sP780(U_4710) ),
inference(clausify,[status(thm)],[f_1667_5]) ).
cnf(f_1667_9,plain,
( U_4710 = sK581(U_4710)
| ~ sP780(U_4710) ),
inference(clausify,[status(thm)],[f_1667_5]) ).
cnf(f_1667_10,plain,
( p2_s14_fraenkel(sK581(U_4710))
| ~ sP780(U_4710) ),
inference(clausify,[status(thm)],[f_1667_5]) ).
fof(f_1668_1,plain,
! [A] :
( ( r2_hidden(A,a_0_26_fraenkel)
| ! [B] :
( ~ p1_s14_fraenkel(B)
| ~ p2_s14_fraenkel(B)
| A != f2_s14_fraenkel(B)
| ~ m1_subset_1(B,f1_s14_fraenkel) ) )
& ( ? [B] :
( p1_s14_fraenkel(B)
& p2_s14_fraenkel(B)
& A = f2_s14_fraenkel(B)
& m1_subset_1(B,f1_s14_fraenkel) )
| ~ r2_hidden(A,a_0_26_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_26_fraenkel]) ).
fof(f_1668_2,plain,
! [U_4714] :
( ( r2_hidden(U_4714,a_0_26_fraenkel)
| ! [U_4713] :
( ~ p1_s14_fraenkel(U_4713)
| ~ p2_s14_fraenkel(U_4713)
| U_4714 != f2_s14_fraenkel(U_4713)
| ~ m1_subset_1(U_4713,f1_s14_fraenkel) ) )
& ( ? [U_4712] :
( p1_s14_fraenkel(U_4712)
& p2_s14_fraenkel(U_4712)
& U_4714 = f2_s14_fraenkel(U_4712)
& m1_subset_1(U_4712,f1_s14_fraenkel) )
| ~ r2_hidden(U_4714,a_0_26_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1668_1]) ).
fof(f_1668_3,plain,
( ! [U_4716] :
( r2_hidden(U_4716,a_0_26_fraenkel)
| ! [U_4713] :
( ~ p1_s14_fraenkel(U_4713)
| ~ p2_s14_fraenkel(U_4713)
| U_4716 != f2_s14_fraenkel(U_4713)
| ~ m1_subset_1(U_4713,f1_s14_fraenkel) ) )
& ! [U_4715] :
( ? [U_4712] :
( p1_s14_fraenkel(U_4712)
& p2_s14_fraenkel(U_4712)
& U_4715 = f2_s14_fraenkel(U_4712)
& m1_subset_1(U_4712,f1_s14_fraenkel) )
| ~ r2_hidden(U_4715,a_0_26_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1668_2]) ).
fof(f_1668_4,plain,
( ! [U_4716] :
( r2_hidden(U_4716,a_0_26_fraenkel)
| ! [U_4713] :
( ~ p1_s14_fraenkel(U_4713)
| ~ p2_s14_fraenkel(U_4713)
| U_4716 != f2_s14_fraenkel(U_4713)
| ~ m1_subset_1(U_4713,f1_s14_fraenkel) ) )
& ! [U_4715] :
( ( p1_s14_fraenkel(sK582(U_4715))
& p2_s14_fraenkel(sK582(U_4715))
& U_4715 = f2_s14_fraenkel(sK582(U_4715))
& m1_subset_1(sK582(U_4715),f1_s14_fraenkel) )
| ~ r2_hidden(U_4715,a_0_26_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK582]),skolemize(U_4712,sK582(U_4715))],[f_1668_3]) ).
fof(f_1668_5,plain,
( ! [U_4715] :
( p1_s14_fraenkel(sK582(U_4715))
| ~ sP781(U_4715) )
& ! [U_4715] :
( p2_s14_fraenkel(sK582(U_4715))
| ~ sP781(U_4715) )
& ! [U_4715] :
( U_4715 = f2_s14_fraenkel(sK582(U_4715))
| ~ sP781(U_4715) )
& ! [U_4715] :
( m1_subset_1(sK582(U_4715),f1_s14_fraenkel)
| ~ sP781(U_4715) )
& ! [U_4713,U_4716] :
( r2_hidden(U_4716,a_0_26_fraenkel)
| ~ p1_s14_fraenkel(U_4713)
| ~ p2_s14_fraenkel(U_4713)
| U_4716 != f2_s14_fraenkel(U_4713)
| ~ m1_subset_1(U_4713,f1_s14_fraenkel) )
& ! [U_4715] :
( sP781(U_4715)
| ~ r2_hidden(U_4715,a_0_26_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP781])],[f_1668_4]) ).
cnf(f_1668_6,plain,
( sP781(U_4715)
| ~ r2_hidden(U_4715,a_0_26_fraenkel) ),
inference(clausify,[status(thm)],[f_1668_5]) ).
cnf(f_1668_7,plain,
( r2_hidden(U_4716,a_0_26_fraenkel)
| ~ p1_s14_fraenkel(U_4713)
| ~ p2_s14_fraenkel(U_4713)
| U_4716 != f2_s14_fraenkel(U_4713)
| ~ m1_subset_1(U_4713,f1_s14_fraenkel) ),
inference(clausify,[status(thm)],[f_1668_5]) ).
cnf(f_1668_8,plain,
( m1_subset_1(sK582(U_4715),f1_s14_fraenkel)
| ~ sP781(U_4715) ),
inference(clausify,[status(thm)],[f_1668_5]) ).
cnf(f_1668_9,plain,
( U_4715 = f2_s14_fraenkel(sK582(U_4715))
| ~ sP781(U_4715) ),
inference(clausify,[status(thm)],[f_1668_5]) ).
cnf(f_1668_10,plain,
( p2_s14_fraenkel(sK582(U_4715))
| ~ sP781(U_4715) ),
inference(clausify,[status(thm)],[f_1668_5]) ).
cnf(f_1668_11,plain,
( p1_s14_fraenkel(sK582(U_4715))
| ~ sP781(U_4715) ),
inference(clausify,[status(thm)],[f_1668_5]) ).
fof(f_1669_1,plain,
! [A] :
( ( r2_hidden(A,a_0_27_fraenkel)
| ! [B,C] :
( ~ p1_s15_fraenkel(B,C)
| ~ r2_hidden(B,a_0_28_fraenkel)
| A != f3_s15_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s15_fraenkel)
| ~ m1_subset_1(B,f1_s15_fraenkel) ) )
& ( ? [B,C] :
( p1_s15_fraenkel(B,C)
& r2_hidden(B,a_0_28_fraenkel)
& A = f3_s15_fraenkel(B,C)
& m1_subset_1(C,f2_s15_fraenkel)
& m1_subset_1(B,f1_s15_fraenkel) )
| ~ r2_hidden(A,a_0_27_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_27_fraenkel]) ).
fof(f_1669_2,plain,
! [U_4721] :
( ( r2_hidden(U_4721,a_0_27_fraenkel)
| ! [U_4720,U_4719] :
( ~ p1_s15_fraenkel(U_4720,U_4719)
| ~ r2_hidden(U_4720,a_0_28_fraenkel)
| U_4721 != f3_s15_fraenkel(U_4720,U_4719)
| ~ m1_subset_1(U_4719,f2_s15_fraenkel)
| ~ m1_subset_1(U_4720,f1_s15_fraenkel) ) )
& ( ? [U_4718,U_4717] :
( p1_s15_fraenkel(U_4718,U_4717)
& r2_hidden(U_4718,a_0_28_fraenkel)
& U_4721 = f3_s15_fraenkel(U_4718,U_4717)
& m1_subset_1(U_4717,f2_s15_fraenkel)
& m1_subset_1(U_4718,f1_s15_fraenkel) )
| ~ r2_hidden(U_4721,a_0_27_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1669_1]) ).
fof(f_1669_3,plain,
( ! [U_4723] :
( r2_hidden(U_4723,a_0_27_fraenkel)
| ! [U_4720] :
( ! [U_4719] :
( ~ p1_s15_fraenkel(U_4720,U_4719)
| U_4723 != f3_s15_fraenkel(U_4720,U_4719)
| ~ m1_subset_1(U_4719,f2_s15_fraenkel) )
| ~ r2_hidden(U_4720,a_0_28_fraenkel)
| ~ m1_subset_1(U_4720,f1_s15_fraenkel) ) )
& ! [U_4722] :
( ? [U_4718] :
( ? [U_4717] :
( p1_s15_fraenkel(U_4718,U_4717)
& U_4722 = f3_s15_fraenkel(U_4718,U_4717)
& m1_subset_1(U_4717,f2_s15_fraenkel) )
& r2_hidden(U_4718,a_0_28_fraenkel)
& m1_subset_1(U_4718,f1_s15_fraenkel) )
| ~ r2_hidden(U_4722,a_0_27_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1669_2]) ).
fof(f_1669_4,plain,
( ! [U_4723] :
( r2_hidden(U_4723,a_0_27_fraenkel)
| ! [U_4720] :
( ! [U_4719] :
( ~ p1_s15_fraenkel(U_4720,U_4719)
| U_4723 != f3_s15_fraenkel(U_4720,U_4719)
| ~ m1_subset_1(U_4719,f2_s15_fraenkel) )
| ~ r2_hidden(U_4720,a_0_28_fraenkel)
| ~ m1_subset_1(U_4720,f1_s15_fraenkel) ) )
& ! [U_4722] :
( ( ? [U_4717] :
( p1_s15_fraenkel(sK583(U_4722),U_4717)
& U_4722 = f3_s15_fraenkel(sK583(U_4722),U_4717)
& m1_subset_1(U_4717,f2_s15_fraenkel) )
& r2_hidden(sK583(U_4722),a_0_28_fraenkel)
& m1_subset_1(sK583(U_4722),f1_s15_fraenkel) )
| ~ r2_hidden(U_4722,a_0_27_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK583]),skolemize(U_4718,sK583(U_4722))],[f_1669_3]) ).
fof(f_1669_5,plain,
( ! [U_4723] :
( r2_hidden(U_4723,a_0_27_fraenkel)
| ! [U_4720] :
( ! [U_4719] :
( ~ p1_s15_fraenkel(U_4720,U_4719)
| U_4723 != f3_s15_fraenkel(U_4720,U_4719)
| ~ m1_subset_1(U_4719,f2_s15_fraenkel) )
| ~ r2_hidden(U_4720,a_0_28_fraenkel)
| ~ m1_subset_1(U_4720,f1_s15_fraenkel) ) )
& ! [U_4722] :
( ( p1_s15_fraenkel(sK583(U_4722),sK584(U_4722))
& U_4722 = f3_s15_fraenkel(sK583(U_4722),sK584(U_4722))
& m1_subset_1(sK584(U_4722),f2_s15_fraenkel)
& r2_hidden(sK583(U_4722),a_0_28_fraenkel)
& m1_subset_1(sK583(U_4722),f1_s15_fraenkel) )
| ~ r2_hidden(U_4722,a_0_27_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK584]),skolemize(U_4717,sK584(U_4722))],[f_1669_4]) ).
fof(f_1669_6,plain,
( ! [U_4722] :
( p1_s15_fraenkel(sK583(U_4722),sK584(U_4722))
| ~ sP782(U_4722) )
& ! [U_4722] :
( U_4722 = f3_s15_fraenkel(sK583(U_4722),sK584(U_4722))
| ~ sP782(U_4722) )
& ! [U_4722] :
( m1_subset_1(sK584(U_4722),f2_s15_fraenkel)
| ~ sP782(U_4722) )
& ! [U_4722] :
( r2_hidden(sK583(U_4722),a_0_28_fraenkel)
| ~ sP782(U_4722) )
& ! [U_4722] :
( m1_subset_1(sK583(U_4722),f1_s15_fraenkel)
| ~ sP782(U_4722) )
& ! [U_4719,U_4723,U_4720] :
( r2_hidden(U_4723,a_0_27_fraenkel)
| ~ p1_s15_fraenkel(U_4720,U_4719)
| U_4723 != f3_s15_fraenkel(U_4720,U_4719)
| ~ m1_subset_1(U_4719,f2_s15_fraenkel)
| ~ r2_hidden(U_4720,a_0_28_fraenkel)
| ~ m1_subset_1(U_4720,f1_s15_fraenkel) )
& ! [U_4722] :
( sP782(U_4722)
| ~ r2_hidden(U_4722,a_0_27_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP782])],[f_1669_5]) ).
cnf(f_1669_7,plain,
( sP782(U_4722)
| ~ r2_hidden(U_4722,a_0_27_fraenkel) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
cnf(f_1669_8,plain,
( r2_hidden(U_4723,a_0_27_fraenkel)
| ~ p1_s15_fraenkel(U_4720,U_4719)
| U_4723 != f3_s15_fraenkel(U_4720,U_4719)
| ~ m1_subset_1(U_4719,f2_s15_fraenkel)
| ~ r2_hidden(U_4720,a_0_28_fraenkel)
| ~ m1_subset_1(U_4720,f1_s15_fraenkel) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
cnf(f_1669_9,plain,
( m1_subset_1(sK583(U_4722),f1_s15_fraenkel)
| ~ sP782(U_4722) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
cnf(f_1669_10,plain,
( r2_hidden(sK583(U_4722),a_0_28_fraenkel)
| ~ sP782(U_4722) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
cnf(f_1669_11,plain,
( m1_subset_1(sK584(U_4722),f2_s15_fraenkel)
| ~ sP782(U_4722) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
cnf(f_1669_12,plain,
( U_4722 = f3_s15_fraenkel(sK583(U_4722),sK584(U_4722))
| ~ sP782(U_4722) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
cnf(f_1669_13,plain,
( p1_s15_fraenkel(sK583(U_4722),sK584(U_4722))
| ~ sP782(U_4722) ),
inference(clausify,[status(thm)],[f_1669_6]) ).
fof(f_1670_1,plain,
! [A] :
( ( r2_hidden(A,a_0_28_fraenkel)
| ! [B] :
( ~ p2_s15_fraenkel(B)
| A != B
| ~ m1_subset_1(B,f1_s15_fraenkel) ) )
& ( ? [B] :
( p2_s15_fraenkel(B)
& A = B
& m1_subset_1(B,f1_s15_fraenkel) )
| ~ r2_hidden(A,a_0_28_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_28_fraenkel]) ).
fof(f_1670_2,plain,
! [U_4726] :
( ( r2_hidden(U_4726,a_0_28_fraenkel)
| ! [U_4725] :
( ~ p2_s15_fraenkel(U_4725)
| U_4726 != U_4725
| ~ m1_subset_1(U_4725,f1_s15_fraenkel) ) )
& ( ? [U_4724] :
( p2_s15_fraenkel(U_4724)
& U_4726 = U_4724
& m1_subset_1(U_4724,f1_s15_fraenkel) )
| ~ r2_hidden(U_4726,a_0_28_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1670_1]) ).
fof(f_1670_3,plain,
( ! [U_4728] :
( r2_hidden(U_4728,a_0_28_fraenkel)
| ! [U_4725] :
( ~ p2_s15_fraenkel(U_4725)
| U_4728 != U_4725
| ~ m1_subset_1(U_4725,f1_s15_fraenkel) ) )
& ! [U_4727] :
( ? [U_4724] :
( p2_s15_fraenkel(U_4724)
& U_4727 = U_4724
& m1_subset_1(U_4724,f1_s15_fraenkel) )
| ~ r2_hidden(U_4727,a_0_28_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1670_2]) ).
fof(f_1670_4,plain,
( ! [U_4728] :
( r2_hidden(U_4728,a_0_28_fraenkel)
| ! [U_4725] :
( ~ p2_s15_fraenkel(U_4725)
| U_4728 != U_4725
| ~ m1_subset_1(U_4725,f1_s15_fraenkel) ) )
& ! [U_4727] :
( ( p2_s15_fraenkel(sK585(U_4727))
& U_4727 = sK585(U_4727)
& m1_subset_1(sK585(U_4727),f1_s15_fraenkel) )
| ~ r2_hidden(U_4727,a_0_28_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK585]),skolemize(U_4724,sK585(U_4727))],[f_1670_3]) ).
fof(f_1670_5,plain,
( ! [U_4727] :
( p2_s15_fraenkel(sK585(U_4727))
| ~ sP783(U_4727) )
& ! [U_4727] :
( U_4727 = sK585(U_4727)
| ~ sP783(U_4727) )
& ! [U_4727] :
( m1_subset_1(sK585(U_4727),f1_s15_fraenkel)
| ~ sP783(U_4727) )
& ! [U_4725,U_4728] :
( r2_hidden(U_4728,a_0_28_fraenkel)
| ~ p2_s15_fraenkel(U_4725)
| U_4728 != U_4725
| ~ m1_subset_1(U_4725,f1_s15_fraenkel) )
& ! [U_4727] :
( sP783(U_4727)
| ~ r2_hidden(U_4727,a_0_28_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP783])],[f_1670_4]) ).
cnf(f_1670_6,plain,
( sP783(U_4727)
| ~ r2_hidden(U_4727,a_0_28_fraenkel) ),
inference(clausify,[status(thm)],[f_1670_5]) ).
cnf(f_1670_7,plain,
( r2_hidden(U_4728,a_0_28_fraenkel)
| ~ p2_s15_fraenkel(U_4725)
| U_4728 != U_4725
| ~ m1_subset_1(U_4725,f1_s15_fraenkel) ),
inference(clausify,[status(thm)],[f_1670_5]) ).
cnf(f_1670_8,plain,
( m1_subset_1(sK585(U_4727),f1_s15_fraenkel)
| ~ sP783(U_4727) ),
inference(clausify,[status(thm)],[f_1670_5]) ).
cnf(f_1670_9,plain,
( U_4727 = sK585(U_4727)
| ~ sP783(U_4727) ),
inference(clausify,[status(thm)],[f_1670_5]) ).
cnf(f_1670_10,plain,
( p2_s15_fraenkel(sK585(U_4727))
| ~ sP783(U_4727) ),
inference(clausify,[status(thm)],[f_1670_5]) ).
fof(f_1671_1,plain,
! [A] :
( ( r2_hidden(A,a_0_29_fraenkel)
| ! [B,C] :
( ~ p1_s15_fraenkel(B,C)
| ~ p2_s15_fraenkel(B)
| A != f3_s15_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s15_fraenkel)
| ~ m1_subset_1(B,f1_s15_fraenkel) ) )
& ( ? [B,C] :
( p1_s15_fraenkel(B,C)
& p2_s15_fraenkel(B)
& A = f3_s15_fraenkel(B,C)
& m1_subset_1(C,f2_s15_fraenkel)
& m1_subset_1(B,f1_s15_fraenkel) )
| ~ r2_hidden(A,a_0_29_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_29_fraenkel]) ).
fof(f_1671_2,plain,
! [U_4733] :
( ( r2_hidden(U_4733,a_0_29_fraenkel)
| ! [U_4732,U_4731] :
( ~ p1_s15_fraenkel(U_4732,U_4731)
| ~ p2_s15_fraenkel(U_4732)
| U_4733 != f3_s15_fraenkel(U_4732,U_4731)
| ~ m1_subset_1(U_4731,f2_s15_fraenkel)
| ~ m1_subset_1(U_4732,f1_s15_fraenkel) ) )
& ( ? [U_4730,U_4729] :
( p1_s15_fraenkel(U_4730,U_4729)
& p2_s15_fraenkel(U_4730)
& U_4733 = f3_s15_fraenkel(U_4730,U_4729)
& m1_subset_1(U_4729,f2_s15_fraenkel)
& m1_subset_1(U_4730,f1_s15_fraenkel) )
| ~ r2_hidden(U_4733,a_0_29_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1671_1]) ).
fof(f_1671_3,plain,
( ! [U_4735] :
( r2_hidden(U_4735,a_0_29_fraenkel)
| ! [U_4732] :
( ! [U_4731] :
( ~ p1_s15_fraenkel(U_4732,U_4731)
| U_4735 != f3_s15_fraenkel(U_4732,U_4731)
| ~ m1_subset_1(U_4731,f2_s15_fraenkel) )
| ~ p2_s15_fraenkel(U_4732)
| ~ m1_subset_1(U_4732,f1_s15_fraenkel) ) )
& ! [U_4734] :
( ? [U_4730] :
( ? [U_4729] :
( p1_s15_fraenkel(U_4730,U_4729)
& U_4734 = f3_s15_fraenkel(U_4730,U_4729)
& m1_subset_1(U_4729,f2_s15_fraenkel) )
& p2_s15_fraenkel(U_4730)
& m1_subset_1(U_4730,f1_s15_fraenkel) )
| ~ r2_hidden(U_4734,a_0_29_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1671_2]) ).
fof(f_1671_4,plain,
( ! [U_4735] :
( r2_hidden(U_4735,a_0_29_fraenkel)
| ! [U_4732] :
( ! [U_4731] :
( ~ p1_s15_fraenkel(U_4732,U_4731)
| U_4735 != f3_s15_fraenkel(U_4732,U_4731)
| ~ m1_subset_1(U_4731,f2_s15_fraenkel) )
| ~ p2_s15_fraenkel(U_4732)
| ~ m1_subset_1(U_4732,f1_s15_fraenkel) ) )
& ! [U_4734] :
( ( ? [U_4729] :
( p1_s15_fraenkel(sK586(U_4734),U_4729)
& U_4734 = f3_s15_fraenkel(sK586(U_4734),U_4729)
& m1_subset_1(U_4729,f2_s15_fraenkel) )
& p2_s15_fraenkel(sK586(U_4734))
& m1_subset_1(sK586(U_4734),f1_s15_fraenkel) )
| ~ r2_hidden(U_4734,a_0_29_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK586]),skolemize(U_4730,sK586(U_4734))],[f_1671_3]) ).
fof(f_1671_5,plain,
( ! [U_4735] :
( r2_hidden(U_4735,a_0_29_fraenkel)
| ! [U_4732] :
( ! [U_4731] :
( ~ p1_s15_fraenkel(U_4732,U_4731)
| U_4735 != f3_s15_fraenkel(U_4732,U_4731)
| ~ m1_subset_1(U_4731,f2_s15_fraenkel) )
| ~ p2_s15_fraenkel(U_4732)
| ~ m1_subset_1(U_4732,f1_s15_fraenkel) ) )
& ! [U_4734] :
( ( p1_s15_fraenkel(sK586(U_4734),sK587(U_4734))
& U_4734 = f3_s15_fraenkel(sK586(U_4734),sK587(U_4734))
& m1_subset_1(sK587(U_4734),f2_s15_fraenkel)
& p2_s15_fraenkel(sK586(U_4734))
& m1_subset_1(sK586(U_4734),f1_s15_fraenkel) )
| ~ r2_hidden(U_4734,a_0_29_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK587]),skolemize(U_4729,sK587(U_4734))],[f_1671_4]) ).
fof(f_1671_6,plain,
( ! [U_4734] :
( p1_s15_fraenkel(sK586(U_4734),sK587(U_4734))
| ~ sP784(U_4734) )
& ! [U_4734] :
( U_4734 = f3_s15_fraenkel(sK586(U_4734),sK587(U_4734))
| ~ sP784(U_4734) )
& ! [U_4734] :
( m1_subset_1(sK587(U_4734),f2_s15_fraenkel)
| ~ sP784(U_4734) )
& ! [U_4734] :
( p2_s15_fraenkel(sK586(U_4734))
| ~ sP784(U_4734) )
& ! [U_4734] :
( m1_subset_1(sK586(U_4734),f1_s15_fraenkel)
| ~ sP784(U_4734) )
& ! [U_4735,U_4731,U_4732] :
( r2_hidden(U_4735,a_0_29_fraenkel)
| ~ p1_s15_fraenkel(U_4732,U_4731)
| U_4735 != f3_s15_fraenkel(U_4732,U_4731)
| ~ m1_subset_1(U_4731,f2_s15_fraenkel)
| ~ p2_s15_fraenkel(U_4732)
| ~ m1_subset_1(U_4732,f1_s15_fraenkel) )
& ! [U_4734] :
( sP784(U_4734)
| ~ r2_hidden(U_4734,a_0_29_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP784])],[f_1671_5]) ).
cnf(f_1671_7,plain,
( sP784(U_4734)
| ~ r2_hidden(U_4734,a_0_29_fraenkel) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
cnf(f_1671_8,plain,
( r2_hidden(U_4735,a_0_29_fraenkel)
| ~ p1_s15_fraenkel(U_4732,U_4731)
| U_4735 != f3_s15_fraenkel(U_4732,U_4731)
| ~ m1_subset_1(U_4731,f2_s15_fraenkel)
| ~ p2_s15_fraenkel(U_4732)
| ~ m1_subset_1(U_4732,f1_s15_fraenkel) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
cnf(f_1671_9,plain,
( m1_subset_1(sK586(U_4734),f1_s15_fraenkel)
| ~ sP784(U_4734) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
cnf(f_1671_10,plain,
( p2_s15_fraenkel(sK586(U_4734))
| ~ sP784(U_4734) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
cnf(f_1671_11,plain,
( m1_subset_1(sK587(U_4734),f2_s15_fraenkel)
| ~ sP784(U_4734) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
cnf(f_1671_12,plain,
( U_4734 = f3_s15_fraenkel(sK586(U_4734),sK587(U_4734))
| ~ sP784(U_4734) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
cnf(f_1671_13,plain,
( p1_s15_fraenkel(sK586(U_4734),sK587(U_4734))
| ~ sP784(U_4734) ),
inference(clausify,[status(thm)],[f_1671_6]) ).
fof(f_1672_1,plain,
! [A] :
( ( r2_hidden(A,a_0_30_fraenkel)
| ! [B,C] :
( ~ p1_s16_fraenkel(B,C)
| A != f3_s16_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s16_fraenkel)
| ~ m1_subset_1(B,f1_s16_fraenkel) ) )
& ( ? [B,C] :
( p1_s16_fraenkel(B,C)
& A = f3_s16_fraenkel(B,C)
& m1_subset_1(C,f2_s16_fraenkel)
& m1_subset_1(B,f1_s16_fraenkel) )
| ~ r2_hidden(A,a_0_30_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_30_fraenkel]) ).
fof(f_1672_2,plain,
! [U_4740] :
( ( r2_hidden(U_4740,a_0_30_fraenkel)
| ! [U_4739,U_4738] :
( ~ p1_s16_fraenkel(U_4739,U_4738)
| U_4740 != f3_s16_fraenkel(U_4739,U_4738)
| ~ m1_subset_1(U_4738,f2_s16_fraenkel)
| ~ m1_subset_1(U_4739,f1_s16_fraenkel) ) )
& ( ? [U_4737,U_4736] :
( p1_s16_fraenkel(U_4737,U_4736)
& U_4740 = f3_s16_fraenkel(U_4737,U_4736)
& m1_subset_1(U_4736,f2_s16_fraenkel)
& m1_subset_1(U_4737,f1_s16_fraenkel) )
| ~ r2_hidden(U_4740,a_0_30_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1672_1]) ).
fof(f_1672_3,plain,
( ! [U_4742] :
( r2_hidden(U_4742,a_0_30_fraenkel)
| ! [U_4739] :
( ! [U_4738] :
( ~ p1_s16_fraenkel(U_4739,U_4738)
| U_4742 != f3_s16_fraenkel(U_4739,U_4738)
| ~ m1_subset_1(U_4738,f2_s16_fraenkel) )
| ~ m1_subset_1(U_4739,f1_s16_fraenkel) ) )
& ! [U_4741] :
( ? [U_4737] :
( ? [U_4736] :
( p1_s16_fraenkel(U_4737,U_4736)
& U_4741 = f3_s16_fraenkel(U_4737,U_4736)
& m1_subset_1(U_4736,f2_s16_fraenkel) )
& m1_subset_1(U_4737,f1_s16_fraenkel) )
| ~ r2_hidden(U_4741,a_0_30_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1672_2]) ).
fof(f_1672_4,plain,
( ! [U_4742] :
( r2_hidden(U_4742,a_0_30_fraenkel)
| ! [U_4739] :
( ! [U_4738] :
( ~ p1_s16_fraenkel(U_4739,U_4738)
| U_4742 != f3_s16_fraenkel(U_4739,U_4738)
| ~ m1_subset_1(U_4738,f2_s16_fraenkel) )
| ~ m1_subset_1(U_4739,f1_s16_fraenkel) ) )
& ! [U_4741] :
( ( ? [U_4736] :
( p1_s16_fraenkel(sK588(U_4741),U_4736)
& U_4741 = f3_s16_fraenkel(sK588(U_4741),U_4736)
& m1_subset_1(U_4736,f2_s16_fraenkel) )
& m1_subset_1(sK588(U_4741),f1_s16_fraenkel) )
| ~ r2_hidden(U_4741,a_0_30_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK588]),skolemize(U_4737,sK588(U_4741))],[f_1672_3]) ).
fof(f_1672_5,plain,
( ! [U_4742] :
( r2_hidden(U_4742,a_0_30_fraenkel)
| ! [U_4739] :
( ! [U_4738] :
( ~ p1_s16_fraenkel(U_4739,U_4738)
| U_4742 != f3_s16_fraenkel(U_4739,U_4738)
| ~ m1_subset_1(U_4738,f2_s16_fraenkel) )
| ~ m1_subset_1(U_4739,f1_s16_fraenkel) ) )
& ! [U_4741] :
( ( p1_s16_fraenkel(sK588(U_4741),sK589(U_4741))
& U_4741 = f3_s16_fraenkel(sK588(U_4741),sK589(U_4741))
& m1_subset_1(sK589(U_4741),f2_s16_fraenkel)
& m1_subset_1(sK588(U_4741),f1_s16_fraenkel) )
| ~ r2_hidden(U_4741,a_0_30_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK589]),skolemize(U_4736,sK589(U_4741))],[f_1672_4]) ).
fof(f_1672_6,plain,
( ! [U_4741] :
( p1_s16_fraenkel(sK588(U_4741),sK589(U_4741))
| ~ sP785(U_4741) )
& ! [U_4741] :
( U_4741 = f3_s16_fraenkel(sK588(U_4741),sK589(U_4741))
| ~ sP785(U_4741) )
& ! [U_4741] :
( m1_subset_1(sK589(U_4741),f2_s16_fraenkel)
| ~ sP785(U_4741) )
& ! [U_4741] :
( m1_subset_1(sK588(U_4741),f1_s16_fraenkel)
| ~ sP785(U_4741) )
& ! [U_4738,U_4742,U_4739] :
( r2_hidden(U_4742,a_0_30_fraenkel)
| ~ p1_s16_fraenkel(U_4739,U_4738)
| U_4742 != f3_s16_fraenkel(U_4739,U_4738)
| ~ m1_subset_1(U_4738,f2_s16_fraenkel)
| ~ m1_subset_1(U_4739,f1_s16_fraenkel) )
& ! [U_4741] :
( sP785(U_4741)
| ~ r2_hidden(U_4741,a_0_30_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP785])],[f_1672_5]) ).
cnf(f_1672_7,plain,
( sP785(U_4741)
| ~ r2_hidden(U_4741,a_0_30_fraenkel) ),
inference(clausify,[status(thm)],[f_1672_6]) ).
cnf(f_1672_8,plain,
( r2_hidden(U_4742,a_0_30_fraenkel)
| ~ p1_s16_fraenkel(U_4739,U_4738)
| U_4742 != f3_s16_fraenkel(U_4739,U_4738)
| ~ m1_subset_1(U_4738,f2_s16_fraenkel)
| ~ m1_subset_1(U_4739,f1_s16_fraenkel) ),
inference(clausify,[status(thm)],[f_1672_6]) ).
cnf(f_1672_9,plain,
( m1_subset_1(sK588(U_4741),f1_s16_fraenkel)
| ~ sP785(U_4741) ),
inference(clausify,[status(thm)],[f_1672_6]) ).
cnf(f_1672_10,plain,
( m1_subset_1(sK589(U_4741),f2_s16_fraenkel)
| ~ sP785(U_4741) ),
inference(clausify,[status(thm)],[f_1672_6]) ).
cnf(f_1672_11,plain,
( U_4741 = f3_s16_fraenkel(sK588(U_4741),sK589(U_4741))
| ~ sP785(U_4741) ),
inference(clausify,[status(thm)],[f_1672_6]) ).
cnf(f_1672_12,plain,
( p1_s16_fraenkel(sK588(U_4741),sK589(U_4741))
| ~ sP785(U_4741) ),
inference(clausify,[status(thm)],[f_1672_6]) ).
fof(f_1673_1,plain,
! [A] :
( ( r2_hidden(A,a_0_31_fraenkel)
| ! [B,C] :
( ~ p2_s16_fraenkel(B,C)
| A != f3_s16_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s16_fraenkel)
| ~ m1_subset_1(B,f1_s16_fraenkel) ) )
& ( ? [B,C] :
( p2_s16_fraenkel(B,C)
& A = f3_s16_fraenkel(B,C)
& m1_subset_1(C,f2_s16_fraenkel)
& m1_subset_1(B,f1_s16_fraenkel) )
| ~ r2_hidden(A,a_0_31_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_31_fraenkel]) ).
fof(f_1673_2,plain,
! [U_4747] :
( ( r2_hidden(U_4747,a_0_31_fraenkel)
| ! [U_4746,U_4745] :
( ~ p2_s16_fraenkel(U_4746,U_4745)
| U_4747 != f3_s16_fraenkel(U_4746,U_4745)
| ~ m1_subset_1(U_4745,f2_s16_fraenkel)
| ~ m1_subset_1(U_4746,f1_s16_fraenkel) ) )
& ( ? [U_4744,U_4743] :
( p2_s16_fraenkel(U_4744,U_4743)
& U_4747 = f3_s16_fraenkel(U_4744,U_4743)
& m1_subset_1(U_4743,f2_s16_fraenkel)
& m1_subset_1(U_4744,f1_s16_fraenkel) )
| ~ r2_hidden(U_4747,a_0_31_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1673_1]) ).
fof(f_1673_3,plain,
( ! [U_4749] :
( r2_hidden(U_4749,a_0_31_fraenkel)
| ! [U_4746] :
( ! [U_4745] :
( ~ p2_s16_fraenkel(U_4746,U_4745)
| U_4749 != f3_s16_fraenkel(U_4746,U_4745)
| ~ m1_subset_1(U_4745,f2_s16_fraenkel) )
| ~ m1_subset_1(U_4746,f1_s16_fraenkel) ) )
& ! [U_4748] :
( ? [U_4744] :
( ? [U_4743] :
( p2_s16_fraenkel(U_4744,U_4743)
& U_4748 = f3_s16_fraenkel(U_4744,U_4743)
& m1_subset_1(U_4743,f2_s16_fraenkel) )
& m1_subset_1(U_4744,f1_s16_fraenkel) )
| ~ r2_hidden(U_4748,a_0_31_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1673_2]) ).
fof(f_1673_4,plain,
( ! [U_4749] :
( r2_hidden(U_4749,a_0_31_fraenkel)
| ! [U_4746] :
( ! [U_4745] :
( ~ p2_s16_fraenkel(U_4746,U_4745)
| U_4749 != f3_s16_fraenkel(U_4746,U_4745)
| ~ m1_subset_1(U_4745,f2_s16_fraenkel) )
| ~ m1_subset_1(U_4746,f1_s16_fraenkel) ) )
& ! [U_4748] :
( ( ? [U_4743] :
( p2_s16_fraenkel(sK590(U_4748),U_4743)
& U_4748 = f3_s16_fraenkel(sK590(U_4748),U_4743)
& m1_subset_1(U_4743,f2_s16_fraenkel) )
& m1_subset_1(sK590(U_4748),f1_s16_fraenkel) )
| ~ r2_hidden(U_4748,a_0_31_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK590]),skolemize(U_4744,sK590(U_4748))],[f_1673_3]) ).
fof(f_1673_5,plain,
( ! [U_4749] :
( r2_hidden(U_4749,a_0_31_fraenkel)
| ! [U_4746] :
( ! [U_4745] :
( ~ p2_s16_fraenkel(U_4746,U_4745)
| U_4749 != f3_s16_fraenkel(U_4746,U_4745)
| ~ m1_subset_1(U_4745,f2_s16_fraenkel) )
| ~ m1_subset_1(U_4746,f1_s16_fraenkel) ) )
& ! [U_4748] :
( ( p2_s16_fraenkel(sK590(U_4748),sK591(U_4748))
& U_4748 = f3_s16_fraenkel(sK590(U_4748),sK591(U_4748))
& m1_subset_1(sK591(U_4748),f2_s16_fraenkel)
& m1_subset_1(sK590(U_4748),f1_s16_fraenkel) )
| ~ r2_hidden(U_4748,a_0_31_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK591]),skolemize(U_4743,sK591(U_4748))],[f_1673_4]) ).
fof(f_1673_6,plain,
( ! [U_4748] :
( p2_s16_fraenkel(sK590(U_4748),sK591(U_4748))
| ~ sP786(U_4748) )
& ! [U_4748] :
( U_4748 = f3_s16_fraenkel(sK590(U_4748),sK591(U_4748))
| ~ sP786(U_4748) )
& ! [U_4748] :
( m1_subset_1(sK591(U_4748),f2_s16_fraenkel)
| ~ sP786(U_4748) )
& ! [U_4748] :
( m1_subset_1(sK590(U_4748),f1_s16_fraenkel)
| ~ sP786(U_4748) )
& ! [U_4745,U_4749,U_4746] :
( r2_hidden(U_4749,a_0_31_fraenkel)
| ~ p2_s16_fraenkel(U_4746,U_4745)
| U_4749 != f3_s16_fraenkel(U_4746,U_4745)
| ~ m1_subset_1(U_4745,f2_s16_fraenkel)
| ~ m1_subset_1(U_4746,f1_s16_fraenkel) )
& ! [U_4748] :
( sP786(U_4748)
| ~ r2_hidden(U_4748,a_0_31_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP786])],[f_1673_5]) ).
cnf(f_1673_7,plain,
( sP786(U_4748)
| ~ r2_hidden(U_4748,a_0_31_fraenkel) ),
inference(clausify,[status(thm)],[f_1673_6]) ).
cnf(f_1673_8,plain,
( r2_hidden(U_4749,a_0_31_fraenkel)
| ~ p2_s16_fraenkel(U_4746,U_4745)
| U_4749 != f3_s16_fraenkel(U_4746,U_4745)
| ~ m1_subset_1(U_4745,f2_s16_fraenkel)
| ~ m1_subset_1(U_4746,f1_s16_fraenkel) ),
inference(clausify,[status(thm)],[f_1673_6]) ).
cnf(f_1673_9,plain,
( m1_subset_1(sK590(U_4748),f1_s16_fraenkel)
| ~ sP786(U_4748) ),
inference(clausify,[status(thm)],[f_1673_6]) ).
cnf(f_1673_10,plain,
( m1_subset_1(sK591(U_4748),f2_s16_fraenkel)
| ~ sP786(U_4748) ),
inference(clausify,[status(thm)],[f_1673_6]) ).
cnf(f_1673_11,plain,
( U_4748 = f3_s16_fraenkel(sK590(U_4748),sK591(U_4748))
| ~ sP786(U_4748) ),
inference(clausify,[status(thm)],[f_1673_6]) ).
cnf(f_1673_12,plain,
( p2_s16_fraenkel(sK590(U_4748),sK591(U_4748))
| ~ sP786(U_4748) ),
inference(clausify,[status(thm)],[f_1673_6]) ).
fof(f_1674_1,plain,
! [A] :
( ( r2_hidden(A,a_0_32_fraenkel)
| ! [B] :
( ~ p1_s17_fraenkel(B)
| ~ r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel)
| A != f3_s17_fraenkel(B)
| ~ m1_subset_1(B,f1_s17_fraenkel) ) )
& ( ? [B] :
( p1_s17_fraenkel(B)
& r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel)
& A = f3_s17_fraenkel(B)
& m1_subset_1(B,f1_s17_fraenkel) )
| ~ r2_hidden(A,a_0_32_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_32_fraenkel]) ).
fof(f_1674_2,plain,
! [U_4752] :
( ( r2_hidden(U_4752,a_0_32_fraenkel)
| ! [U_4751] :
( ~ p1_s17_fraenkel(U_4751)
| ~ r2_hidden(f3_s17_fraenkel(U_4751),f2_s17_fraenkel)
| U_4752 != f3_s17_fraenkel(U_4751)
| ~ m1_subset_1(U_4751,f1_s17_fraenkel) ) )
& ( ? [U_4750] :
( p1_s17_fraenkel(U_4750)
& r2_hidden(f3_s17_fraenkel(U_4750),f2_s17_fraenkel)
& U_4752 = f3_s17_fraenkel(U_4750)
& m1_subset_1(U_4750,f1_s17_fraenkel) )
| ~ r2_hidden(U_4752,a_0_32_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1674_1]) ).
fof(f_1674_3,plain,
( ! [U_4754] :
( r2_hidden(U_4754,a_0_32_fraenkel)
| ! [U_4751] :
( ~ p1_s17_fraenkel(U_4751)
| ~ r2_hidden(f3_s17_fraenkel(U_4751),f2_s17_fraenkel)
| U_4754 != f3_s17_fraenkel(U_4751)
| ~ m1_subset_1(U_4751,f1_s17_fraenkel) ) )
& ! [U_4753] :
( ? [U_4750] :
( p1_s17_fraenkel(U_4750)
& r2_hidden(f3_s17_fraenkel(U_4750),f2_s17_fraenkel)
& U_4753 = f3_s17_fraenkel(U_4750)
& m1_subset_1(U_4750,f1_s17_fraenkel) )
| ~ r2_hidden(U_4753,a_0_32_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1674_2]) ).
fof(f_1674_4,plain,
( ! [U_4754] :
( r2_hidden(U_4754,a_0_32_fraenkel)
| ! [U_4751] :
( ~ p1_s17_fraenkel(U_4751)
| ~ r2_hidden(f3_s17_fraenkel(U_4751),f2_s17_fraenkel)
| U_4754 != f3_s17_fraenkel(U_4751)
| ~ m1_subset_1(U_4751,f1_s17_fraenkel) ) )
& ! [U_4753] :
( ( p1_s17_fraenkel(sK592(U_4753))
& r2_hidden(f3_s17_fraenkel(sK592(U_4753)),f2_s17_fraenkel)
& U_4753 = f3_s17_fraenkel(sK592(U_4753))
& m1_subset_1(sK592(U_4753),f1_s17_fraenkel) )
| ~ r2_hidden(U_4753,a_0_32_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK592]),skolemize(U_4750,sK592(U_4753))],[f_1674_3]) ).
fof(f_1674_5,plain,
( ! [U_4753] :
( p1_s17_fraenkel(sK592(U_4753))
| ~ sP787(U_4753) )
& ! [U_4753] :
( r2_hidden(f3_s17_fraenkel(sK592(U_4753)),f2_s17_fraenkel)
| ~ sP787(U_4753) )
& ! [U_4753] :
( U_4753 = f3_s17_fraenkel(sK592(U_4753))
| ~ sP787(U_4753) )
& ! [U_4753] :
( m1_subset_1(sK592(U_4753),f1_s17_fraenkel)
| ~ sP787(U_4753) )
& ! [U_4754,U_4751] :
( r2_hidden(U_4754,a_0_32_fraenkel)
| ~ p1_s17_fraenkel(U_4751)
| ~ r2_hidden(f3_s17_fraenkel(U_4751),f2_s17_fraenkel)
| U_4754 != f3_s17_fraenkel(U_4751)
| ~ m1_subset_1(U_4751,f1_s17_fraenkel) )
& ! [U_4753] :
( sP787(U_4753)
| ~ r2_hidden(U_4753,a_0_32_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP787])],[f_1674_4]) ).
cnf(f_1674_6,plain,
( sP787(U_4753)
| ~ r2_hidden(U_4753,a_0_32_fraenkel) ),
inference(clausify,[status(thm)],[f_1674_5]) ).
cnf(f_1674_7,plain,
( r2_hidden(U_4754,a_0_32_fraenkel)
| ~ p1_s17_fraenkel(U_4751)
| ~ r2_hidden(f3_s17_fraenkel(U_4751),f2_s17_fraenkel)
| U_4754 != f3_s17_fraenkel(U_4751)
| ~ m1_subset_1(U_4751,f1_s17_fraenkel) ),
inference(clausify,[status(thm)],[f_1674_5]) ).
cnf(f_1674_8,plain,
( m1_subset_1(sK592(U_4753),f1_s17_fraenkel)
| ~ sP787(U_4753) ),
inference(clausify,[status(thm)],[f_1674_5]) ).
cnf(f_1674_9,plain,
( U_4753 = f3_s17_fraenkel(sK592(U_4753))
| ~ sP787(U_4753) ),
inference(clausify,[status(thm)],[f_1674_5]) ).
cnf(f_1674_10,plain,
( r2_hidden(f3_s17_fraenkel(sK592(U_4753)),f2_s17_fraenkel)
| ~ sP787(U_4753) ),
inference(clausify,[status(thm)],[f_1674_5]) ).
cnf(f_1674_11,plain,
( p1_s17_fraenkel(sK592(U_4753))
| ~ sP787(U_4753) ),
inference(clausify,[status(thm)],[f_1674_5]) ).
fof(f_1675_1,plain,
! [A] :
( ( r2_hidden(A,a_0_33_fraenkel)
| ! [B] :
( r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel)
| ~ p1_s18_fraenkel(B)
| A != f3_s18_fraenkel(B)
| ~ m1_subset_1(B,f1_s18_fraenkel) ) )
& ( ? [B] :
( ~ r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel)
& p1_s18_fraenkel(B)
& A = f3_s18_fraenkel(B)
& m1_subset_1(B,f1_s18_fraenkel) )
| ~ r2_hidden(A,a_0_33_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_33_fraenkel]) ).
fof(f_1675_2,plain,
! [U_4757] :
( ( r2_hidden(U_4757,a_0_33_fraenkel)
| ! [U_4756] :
( r2_hidden(f3_s18_fraenkel(U_4756),f2_s18_fraenkel)
| ~ p1_s18_fraenkel(U_4756)
| U_4757 != f3_s18_fraenkel(U_4756)
| ~ m1_subset_1(U_4756,f1_s18_fraenkel) ) )
& ( ? [U_4755] :
( ~ r2_hidden(f3_s18_fraenkel(U_4755),f2_s18_fraenkel)
& p1_s18_fraenkel(U_4755)
& U_4757 = f3_s18_fraenkel(U_4755)
& m1_subset_1(U_4755,f1_s18_fraenkel) )
| ~ r2_hidden(U_4757,a_0_33_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1675_1]) ).
fof(f_1675_3,plain,
( ! [U_4759] :
( r2_hidden(U_4759,a_0_33_fraenkel)
| ! [U_4756] :
( r2_hidden(f3_s18_fraenkel(U_4756),f2_s18_fraenkel)
| ~ p1_s18_fraenkel(U_4756)
| U_4759 != f3_s18_fraenkel(U_4756)
| ~ m1_subset_1(U_4756,f1_s18_fraenkel) ) )
& ! [U_4758] :
( ? [U_4755] :
( ~ r2_hidden(f3_s18_fraenkel(U_4755),f2_s18_fraenkel)
& p1_s18_fraenkel(U_4755)
& U_4758 = f3_s18_fraenkel(U_4755)
& m1_subset_1(U_4755,f1_s18_fraenkel) )
| ~ r2_hidden(U_4758,a_0_33_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1675_2]) ).
fof(f_1675_4,plain,
( ! [U_4759] :
( r2_hidden(U_4759,a_0_33_fraenkel)
| ! [U_4756] :
( r2_hidden(f3_s18_fraenkel(U_4756),f2_s18_fraenkel)
| ~ p1_s18_fraenkel(U_4756)
| U_4759 != f3_s18_fraenkel(U_4756)
| ~ m1_subset_1(U_4756,f1_s18_fraenkel) ) )
& ! [U_4758] :
( ( ~ r2_hidden(f3_s18_fraenkel(sK593(U_4758)),f2_s18_fraenkel)
& p1_s18_fraenkel(sK593(U_4758))
& U_4758 = f3_s18_fraenkel(sK593(U_4758))
& m1_subset_1(sK593(U_4758),f1_s18_fraenkel) )
| ~ r2_hidden(U_4758,a_0_33_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK593]),skolemize(U_4755,sK593(U_4758))],[f_1675_3]) ).
fof(f_1675_5,plain,
( ! [U_4758] :
( ~ r2_hidden(f3_s18_fraenkel(sK593(U_4758)),f2_s18_fraenkel)
| ~ sP788(U_4758) )
& ! [U_4758] :
( p1_s18_fraenkel(sK593(U_4758))
| ~ sP788(U_4758) )
& ! [U_4758] :
( U_4758 = f3_s18_fraenkel(sK593(U_4758))
| ~ sP788(U_4758) )
& ! [U_4758] :
( m1_subset_1(sK593(U_4758),f1_s18_fraenkel)
| ~ sP788(U_4758) )
& ! [U_4759,U_4756] :
( r2_hidden(U_4759,a_0_33_fraenkel)
| r2_hidden(f3_s18_fraenkel(U_4756),f2_s18_fraenkel)
| ~ p1_s18_fraenkel(U_4756)
| U_4759 != f3_s18_fraenkel(U_4756)
| ~ m1_subset_1(U_4756,f1_s18_fraenkel) )
& ! [U_4758] :
( sP788(U_4758)
| ~ r2_hidden(U_4758,a_0_33_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP788])],[f_1675_4]) ).
cnf(f_1675_6,plain,
( sP788(U_4758)
| ~ r2_hidden(U_4758,a_0_33_fraenkel) ),
inference(clausify,[status(thm)],[f_1675_5]) ).
cnf(f_1675_7,plain,
( r2_hidden(U_4759,a_0_33_fraenkel)
| r2_hidden(f3_s18_fraenkel(U_4756),f2_s18_fraenkel)
| ~ p1_s18_fraenkel(U_4756)
| U_4759 != f3_s18_fraenkel(U_4756)
| ~ m1_subset_1(U_4756,f1_s18_fraenkel) ),
inference(clausify,[status(thm)],[f_1675_5]) ).
cnf(f_1675_8,plain,
( m1_subset_1(sK593(U_4758),f1_s18_fraenkel)
| ~ sP788(U_4758) ),
inference(clausify,[status(thm)],[f_1675_5]) ).
cnf(f_1675_9,plain,
( U_4758 = f3_s18_fraenkel(sK593(U_4758))
| ~ sP788(U_4758) ),
inference(clausify,[status(thm)],[f_1675_5]) ).
cnf(f_1675_10,plain,
( p1_s18_fraenkel(sK593(U_4758))
| ~ sP788(U_4758) ),
inference(clausify,[status(thm)],[f_1675_5]) ).
cnf(f_1675_11,plain,
( ~ r2_hidden(f3_s18_fraenkel(sK593(U_4758)),f2_s18_fraenkel)
| ~ sP788(U_4758) ),
inference(clausify,[status(thm)],[f_1675_5]) ).
fof(f_1676_1,plain,
! [A] :
( ( r2_hidden(A,a_0_34_fraenkel)
| ! [B,C] :
( ~ p2_s19_fraenkel(B,C)
| A != f3_s19_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s19_fraenkel)
| ~ m1_subset_1(B,f1_s19_fraenkel) ) )
& ( ? [B,C] :
( p2_s19_fraenkel(B,C)
& A = f3_s19_fraenkel(B,C)
& m1_subset_1(C,f2_s19_fraenkel)
& m1_subset_1(B,f1_s19_fraenkel) )
| ~ r2_hidden(A,a_0_34_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_34_fraenkel]) ).
fof(f_1676_2,plain,
! [U_4764] :
( ( r2_hidden(U_4764,a_0_34_fraenkel)
| ! [U_4763,U_4762] :
( ~ p2_s19_fraenkel(U_4763,U_4762)
| U_4764 != f3_s19_fraenkel(U_4763,U_4762)
| ~ m1_subset_1(U_4762,f2_s19_fraenkel)
| ~ m1_subset_1(U_4763,f1_s19_fraenkel) ) )
& ( ? [U_4761,U_4760] :
( p2_s19_fraenkel(U_4761,U_4760)
& U_4764 = f3_s19_fraenkel(U_4761,U_4760)
& m1_subset_1(U_4760,f2_s19_fraenkel)
& m1_subset_1(U_4761,f1_s19_fraenkel) )
| ~ r2_hidden(U_4764,a_0_34_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1676_1]) ).
fof(f_1676_3,plain,
( ! [U_4766] :
( r2_hidden(U_4766,a_0_34_fraenkel)
| ! [U_4763] :
( ! [U_4762] :
( ~ p2_s19_fraenkel(U_4763,U_4762)
| U_4766 != f3_s19_fraenkel(U_4763,U_4762)
| ~ m1_subset_1(U_4762,f2_s19_fraenkel) )
| ~ m1_subset_1(U_4763,f1_s19_fraenkel) ) )
& ! [U_4765] :
( ? [U_4761] :
( ? [U_4760] :
( p2_s19_fraenkel(U_4761,U_4760)
& U_4765 = f3_s19_fraenkel(U_4761,U_4760)
& m1_subset_1(U_4760,f2_s19_fraenkel) )
& m1_subset_1(U_4761,f1_s19_fraenkel) )
| ~ r2_hidden(U_4765,a_0_34_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1676_2]) ).
fof(f_1676_4,plain,
( ! [U_4766] :
( r2_hidden(U_4766,a_0_34_fraenkel)
| ! [U_4763] :
( ! [U_4762] :
( ~ p2_s19_fraenkel(U_4763,U_4762)
| U_4766 != f3_s19_fraenkel(U_4763,U_4762)
| ~ m1_subset_1(U_4762,f2_s19_fraenkel) )
| ~ m1_subset_1(U_4763,f1_s19_fraenkel) ) )
& ! [U_4765] :
( ( ? [U_4760] :
( p2_s19_fraenkel(sK594(U_4765),U_4760)
& U_4765 = f3_s19_fraenkel(sK594(U_4765),U_4760)
& m1_subset_1(U_4760,f2_s19_fraenkel) )
& m1_subset_1(sK594(U_4765),f1_s19_fraenkel) )
| ~ r2_hidden(U_4765,a_0_34_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK594]),skolemize(U_4761,sK594(U_4765))],[f_1676_3]) ).
fof(f_1676_5,plain,
( ! [U_4766] :
( r2_hidden(U_4766,a_0_34_fraenkel)
| ! [U_4763] :
( ! [U_4762] :
( ~ p2_s19_fraenkel(U_4763,U_4762)
| U_4766 != f3_s19_fraenkel(U_4763,U_4762)
| ~ m1_subset_1(U_4762,f2_s19_fraenkel) )
| ~ m1_subset_1(U_4763,f1_s19_fraenkel) ) )
& ! [U_4765] :
( ( p2_s19_fraenkel(sK594(U_4765),sK595(U_4765))
& U_4765 = f3_s19_fraenkel(sK594(U_4765),sK595(U_4765))
& m1_subset_1(sK595(U_4765),f2_s19_fraenkel)
& m1_subset_1(sK594(U_4765),f1_s19_fraenkel) )
| ~ r2_hidden(U_4765,a_0_34_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK595]),skolemize(U_4760,sK595(U_4765))],[f_1676_4]) ).
fof(f_1676_6,plain,
( ! [U_4765] :
( p2_s19_fraenkel(sK594(U_4765),sK595(U_4765))
| ~ sP789(U_4765) )
& ! [U_4765] :
( U_4765 = f3_s19_fraenkel(sK594(U_4765),sK595(U_4765))
| ~ sP789(U_4765) )
& ! [U_4765] :
( m1_subset_1(sK595(U_4765),f2_s19_fraenkel)
| ~ sP789(U_4765) )
& ! [U_4765] :
( m1_subset_1(sK594(U_4765),f1_s19_fraenkel)
| ~ sP789(U_4765) )
& ! [U_4763,U_4762,U_4766] :
( r2_hidden(U_4766,a_0_34_fraenkel)
| ~ p2_s19_fraenkel(U_4763,U_4762)
| U_4766 != f3_s19_fraenkel(U_4763,U_4762)
| ~ m1_subset_1(U_4762,f2_s19_fraenkel)
| ~ m1_subset_1(U_4763,f1_s19_fraenkel) )
& ! [U_4765] :
( sP789(U_4765)
| ~ r2_hidden(U_4765,a_0_34_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP789])],[f_1676_5]) ).
cnf(f_1676_7,plain,
( sP789(U_4765)
| ~ r2_hidden(U_4765,a_0_34_fraenkel) ),
inference(clausify,[status(thm)],[f_1676_6]) ).
cnf(f_1676_8,plain,
( r2_hidden(U_4766,a_0_34_fraenkel)
| ~ p2_s19_fraenkel(U_4763,U_4762)
| U_4766 != f3_s19_fraenkel(U_4763,U_4762)
| ~ m1_subset_1(U_4762,f2_s19_fraenkel)
| ~ m1_subset_1(U_4763,f1_s19_fraenkel) ),
inference(clausify,[status(thm)],[f_1676_6]) ).
cnf(f_1676_9,plain,
( m1_subset_1(sK594(U_4765),f1_s19_fraenkel)
| ~ sP789(U_4765) ),
inference(clausify,[status(thm)],[f_1676_6]) ).
cnf(f_1676_10,plain,
( m1_subset_1(sK595(U_4765),f2_s19_fraenkel)
| ~ sP789(U_4765) ),
inference(clausify,[status(thm)],[f_1676_6]) ).
cnf(f_1676_11,plain,
( U_4765 = f3_s19_fraenkel(sK594(U_4765),sK595(U_4765))
| ~ sP789(U_4765) ),
inference(clausify,[status(thm)],[f_1676_6]) ).
cnf(f_1676_12,plain,
( p2_s19_fraenkel(sK594(U_4765),sK595(U_4765))
| ~ sP789(U_4765) ),
inference(clausify,[status(thm)],[f_1676_6]) ).
fof(f_1677_1,plain,
! [A] :
( ( r2_hidden(A,a_0_35_fraenkel)
| ! [B] :
( ~ p1_s19_fraenkel(B,f4_s19_fraenkel)
| A != f3_s19_fraenkel(B,f4_s19_fraenkel)
| ~ m1_subset_1(B,f1_s19_fraenkel) ) )
& ( ? [B] :
( p1_s19_fraenkel(B,f4_s19_fraenkel)
& A = f3_s19_fraenkel(B,f4_s19_fraenkel)
& m1_subset_1(B,f1_s19_fraenkel) )
| ~ r2_hidden(A,a_0_35_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_35_fraenkel]) ).
fof(f_1677_2,plain,
! [U_4769] :
( ( r2_hidden(U_4769,a_0_35_fraenkel)
| ! [U_4768] :
( ~ p1_s19_fraenkel(U_4768,f4_s19_fraenkel)
| U_4769 != f3_s19_fraenkel(U_4768,f4_s19_fraenkel)
| ~ m1_subset_1(U_4768,f1_s19_fraenkel) ) )
& ( ? [U_4767] :
( p1_s19_fraenkel(U_4767,f4_s19_fraenkel)
& U_4769 = f3_s19_fraenkel(U_4767,f4_s19_fraenkel)
& m1_subset_1(U_4767,f1_s19_fraenkel) )
| ~ r2_hidden(U_4769,a_0_35_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1677_1]) ).
fof(f_1677_3,plain,
( ! [U_4771] :
( r2_hidden(U_4771,a_0_35_fraenkel)
| ! [U_4768] :
( ~ p1_s19_fraenkel(U_4768,f4_s19_fraenkel)
| U_4771 != f3_s19_fraenkel(U_4768,f4_s19_fraenkel)
| ~ m1_subset_1(U_4768,f1_s19_fraenkel) ) )
& ! [U_4770] :
( ? [U_4767] :
( p1_s19_fraenkel(U_4767,f4_s19_fraenkel)
& U_4770 = f3_s19_fraenkel(U_4767,f4_s19_fraenkel)
& m1_subset_1(U_4767,f1_s19_fraenkel) )
| ~ r2_hidden(U_4770,a_0_35_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1677_2]) ).
fof(f_1677_4,plain,
( ! [U_4771] :
( r2_hidden(U_4771,a_0_35_fraenkel)
| ! [U_4768] :
( ~ p1_s19_fraenkel(U_4768,f4_s19_fraenkel)
| U_4771 != f3_s19_fraenkel(U_4768,f4_s19_fraenkel)
| ~ m1_subset_1(U_4768,f1_s19_fraenkel) ) )
& ! [U_4770] :
( ( p1_s19_fraenkel(sK596(U_4770),f4_s19_fraenkel)
& U_4770 = f3_s19_fraenkel(sK596(U_4770),f4_s19_fraenkel)
& m1_subset_1(sK596(U_4770),f1_s19_fraenkel) )
| ~ r2_hidden(U_4770,a_0_35_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK596]),skolemize(U_4767,sK596(U_4770))],[f_1677_3]) ).
fof(f_1677_5,plain,
( ! [U_4770] :
( p1_s19_fraenkel(sK596(U_4770),f4_s19_fraenkel)
| ~ sP790(U_4770) )
& ! [U_4770] :
( U_4770 = f3_s19_fraenkel(sK596(U_4770),f4_s19_fraenkel)
| ~ sP790(U_4770) )
& ! [U_4770] :
( m1_subset_1(sK596(U_4770),f1_s19_fraenkel)
| ~ sP790(U_4770) )
& ! [U_4771,U_4768] :
( r2_hidden(U_4771,a_0_35_fraenkel)
| ~ p1_s19_fraenkel(U_4768,f4_s19_fraenkel)
| U_4771 != f3_s19_fraenkel(U_4768,f4_s19_fraenkel)
| ~ m1_subset_1(U_4768,f1_s19_fraenkel) )
& ! [U_4770] :
( sP790(U_4770)
| ~ r2_hidden(U_4770,a_0_35_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP790])],[f_1677_4]) ).
cnf(f_1677_6,plain,
( sP790(U_4770)
| ~ r2_hidden(U_4770,a_0_35_fraenkel) ),
inference(clausify,[status(thm)],[f_1677_5]) ).
cnf(f_1677_7,plain,
( r2_hidden(U_4771,a_0_35_fraenkel)
| ~ p1_s19_fraenkel(U_4768,f4_s19_fraenkel)
| U_4771 != f3_s19_fraenkel(U_4768,f4_s19_fraenkel)
| ~ m1_subset_1(U_4768,f1_s19_fraenkel) ),
inference(clausify,[status(thm)],[f_1677_5]) ).
cnf(f_1677_8,plain,
( m1_subset_1(sK596(U_4770),f1_s19_fraenkel)
| ~ sP790(U_4770) ),
inference(clausify,[status(thm)],[f_1677_5]) ).
cnf(f_1677_9,plain,
( U_4770 = f3_s19_fraenkel(sK596(U_4770),f4_s19_fraenkel)
| ~ sP790(U_4770) ),
inference(clausify,[status(thm)],[f_1677_5]) ).
cnf(f_1677_10,plain,
( p1_s19_fraenkel(sK596(U_4770),f4_s19_fraenkel)
| ~ sP790(U_4770) ),
inference(clausify,[status(thm)],[f_1677_5]) ).
fof(f_1678_1,plain,
! [A] :
( ( r2_hidden(A,a_0_36_fraenkel)
| ! [B,C] :
( ~ p1_s20_fraenkel(B,C)
| C != f4_s20_fraenkel
| A != f3_s20_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s20_fraenkel)
| ~ m1_subset_1(B,f1_s20_fraenkel) ) )
& ( ? [B,C] :
( p1_s20_fraenkel(B,C)
& C = f4_s20_fraenkel
& A = f3_s20_fraenkel(B,C)
& m1_subset_1(C,f2_s20_fraenkel)
& m1_subset_1(B,f1_s20_fraenkel) )
| ~ r2_hidden(A,a_0_36_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_36_fraenkel]) ).
fof(f_1678_2,plain,
! [U_4776] :
( ( r2_hidden(U_4776,a_0_36_fraenkel)
| ! [U_4775,U_4774] :
( ~ p1_s20_fraenkel(U_4775,U_4774)
| U_4774 != f4_s20_fraenkel
| U_4776 != f3_s20_fraenkel(U_4775,U_4774)
| ~ m1_subset_1(U_4774,f2_s20_fraenkel)
| ~ m1_subset_1(U_4775,f1_s20_fraenkel) ) )
& ( ? [U_4773,U_4772] :
( p1_s20_fraenkel(U_4773,U_4772)
& U_4772 = f4_s20_fraenkel
& U_4776 = f3_s20_fraenkel(U_4773,U_4772)
& m1_subset_1(U_4772,f2_s20_fraenkel)
& m1_subset_1(U_4773,f1_s20_fraenkel) )
| ~ r2_hidden(U_4776,a_0_36_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1678_1]) ).
fof(f_1678_3,plain,
( ! [U_4778] :
( r2_hidden(U_4778,a_0_36_fraenkel)
| ! [U_4775] :
( ! [U_4774] :
( ~ p1_s20_fraenkel(U_4775,U_4774)
| U_4774 != f4_s20_fraenkel
| U_4778 != f3_s20_fraenkel(U_4775,U_4774)
| ~ m1_subset_1(U_4774,f2_s20_fraenkel) )
| ~ m1_subset_1(U_4775,f1_s20_fraenkel) ) )
& ! [U_4777] :
( ? [U_4773] :
( ? [U_4772] :
( p1_s20_fraenkel(U_4773,U_4772)
& U_4772 = f4_s20_fraenkel
& U_4777 = f3_s20_fraenkel(U_4773,U_4772)
& m1_subset_1(U_4772,f2_s20_fraenkel) )
& m1_subset_1(U_4773,f1_s20_fraenkel) )
| ~ r2_hidden(U_4777,a_0_36_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1678_2]) ).
fof(f_1678_4,plain,
( ! [U_4778] :
( r2_hidden(U_4778,a_0_36_fraenkel)
| ! [U_4775] :
( ! [U_4774] :
( ~ p1_s20_fraenkel(U_4775,U_4774)
| U_4774 != f4_s20_fraenkel
| U_4778 != f3_s20_fraenkel(U_4775,U_4774)
| ~ m1_subset_1(U_4774,f2_s20_fraenkel) )
| ~ m1_subset_1(U_4775,f1_s20_fraenkel) ) )
& ! [U_4777] :
( ( ? [U_4772] :
( p1_s20_fraenkel(sK597(U_4777),U_4772)
& U_4772 = f4_s20_fraenkel
& U_4777 = f3_s20_fraenkel(sK597(U_4777),U_4772)
& m1_subset_1(U_4772,f2_s20_fraenkel) )
& m1_subset_1(sK597(U_4777),f1_s20_fraenkel) )
| ~ r2_hidden(U_4777,a_0_36_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK597]),skolemize(U_4773,sK597(U_4777))],[f_1678_3]) ).
fof(f_1678_5,plain,
( ! [U_4778] :
( r2_hidden(U_4778,a_0_36_fraenkel)
| ! [U_4775] :
( ! [U_4774] :
( ~ p1_s20_fraenkel(U_4775,U_4774)
| U_4774 != f4_s20_fraenkel
| U_4778 != f3_s20_fraenkel(U_4775,U_4774)
| ~ m1_subset_1(U_4774,f2_s20_fraenkel) )
| ~ m1_subset_1(U_4775,f1_s20_fraenkel) ) )
& ! [U_4777] :
( ( p1_s20_fraenkel(sK597(U_4777),sK598(U_4777))
& sK598(U_4777) = f4_s20_fraenkel
& U_4777 = f3_s20_fraenkel(sK597(U_4777),sK598(U_4777))
& m1_subset_1(sK598(U_4777),f2_s20_fraenkel)
& m1_subset_1(sK597(U_4777),f1_s20_fraenkel) )
| ~ r2_hidden(U_4777,a_0_36_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK598]),skolemize(U_4772,sK598(U_4777))],[f_1678_4]) ).
fof(f_1678_6,plain,
( ! [U_4777] :
( p1_s20_fraenkel(sK597(U_4777),sK598(U_4777))
| ~ sP791(U_4777) )
& ! [U_4777] :
( sK598(U_4777) = f4_s20_fraenkel
| ~ sP791(U_4777) )
& ! [U_4777] :
( U_4777 = f3_s20_fraenkel(sK597(U_4777),sK598(U_4777))
| ~ sP791(U_4777) )
& ! [U_4777] :
( m1_subset_1(sK598(U_4777),f2_s20_fraenkel)
| ~ sP791(U_4777) )
& ! [U_4777] :
( m1_subset_1(sK597(U_4777),f1_s20_fraenkel)
| ~ sP791(U_4777) )
& ! [U_4774,U_4775,U_4778] :
( r2_hidden(U_4778,a_0_36_fraenkel)
| ~ p1_s20_fraenkel(U_4775,U_4774)
| U_4774 != f4_s20_fraenkel
| U_4778 != f3_s20_fraenkel(U_4775,U_4774)
| ~ m1_subset_1(U_4774,f2_s20_fraenkel)
| ~ m1_subset_1(U_4775,f1_s20_fraenkel) )
& ! [U_4777] :
( sP791(U_4777)
| ~ r2_hidden(U_4777,a_0_36_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP791])],[f_1678_5]) ).
cnf(f_1678_7,plain,
( sP791(U_4777)
| ~ r2_hidden(U_4777,a_0_36_fraenkel) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
cnf(f_1678_8,plain,
( r2_hidden(U_4778,a_0_36_fraenkel)
| ~ p1_s20_fraenkel(U_4775,U_4774)
| U_4774 != f4_s20_fraenkel
| U_4778 != f3_s20_fraenkel(U_4775,U_4774)
| ~ m1_subset_1(U_4774,f2_s20_fraenkel)
| ~ m1_subset_1(U_4775,f1_s20_fraenkel) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
cnf(f_1678_9,plain,
( m1_subset_1(sK597(U_4777),f1_s20_fraenkel)
| ~ sP791(U_4777) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
cnf(f_1678_10,plain,
( m1_subset_1(sK598(U_4777),f2_s20_fraenkel)
| ~ sP791(U_4777) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
cnf(f_1678_11,plain,
( U_4777 = f3_s20_fraenkel(sK597(U_4777),sK598(U_4777))
| ~ sP791(U_4777) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
cnf(f_1678_12,plain,
( sK598(U_4777) = f4_s20_fraenkel
| ~ sP791(U_4777) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
cnf(f_1678_13,plain,
( p1_s20_fraenkel(sK597(U_4777),sK598(U_4777))
| ~ sP791(U_4777) ),
inference(clausify,[status(thm)],[f_1678_6]) ).
fof(f_1679_1,plain,
! [A] :
( ( r2_hidden(A,a_0_37_fraenkel)
| ! [B] :
( ~ p1_s20_fraenkel(B,f4_s20_fraenkel)
| A != f3_s20_fraenkel(B,f4_s20_fraenkel)
| ~ m1_subset_1(B,f1_s20_fraenkel) ) )
& ( ? [B] :
( p1_s20_fraenkel(B,f4_s20_fraenkel)
& A = f3_s20_fraenkel(B,f4_s20_fraenkel)
& m1_subset_1(B,f1_s20_fraenkel) )
| ~ r2_hidden(A,a_0_37_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_37_fraenkel]) ).
fof(f_1679_2,plain,
! [U_4781] :
( ( r2_hidden(U_4781,a_0_37_fraenkel)
| ! [U_4780] :
( ~ p1_s20_fraenkel(U_4780,f4_s20_fraenkel)
| U_4781 != f3_s20_fraenkel(U_4780,f4_s20_fraenkel)
| ~ m1_subset_1(U_4780,f1_s20_fraenkel) ) )
& ( ? [U_4779] :
( p1_s20_fraenkel(U_4779,f4_s20_fraenkel)
& U_4781 = f3_s20_fraenkel(U_4779,f4_s20_fraenkel)
& m1_subset_1(U_4779,f1_s20_fraenkel) )
| ~ r2_hidden(U_4781,a_0_37_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1679_1]) ).
fof(f_1679_3,plain,
( ! [U_4783] :
( r2_hidden(U_4783,a_0_37_fraenkel)
| ! [U_4780] :
( ~ p1_s20_fraenkel(U_4780,f4_s20_fraenkel)
| U_4783 != f3_s20_fraenkel(U_4780,f4_s20_fraenkel)
| ~ m1_subset_1(U_4780,f1_s20_fraenkel) ) )
& ! [U_4782] :
( ? [U_4779] :
( p1_s20_fraenkel(U_4779,f4_s20_fraenkel)
& U_4782 = f3_s20_fraenkel(U_4779,f4_s20_fraenkel)
& m1_subset_1(U_4779,f1_s20_fraenkel) )
| ~ r2_hidden(U_4782,a_0_37_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1679_2]) ).
fof(f_1679_4,plain,
( ! [U_4783] :
( r2_hidden(U_4783,a_0_37_fraenkel)
| ! [U_4780] :
( ~ p1_s20_fraenkel(U_4780,f4_s20_fraenkel)
| U_4783 != f3_s20_fraenkel(U_4780,f4_s20_fraenkel)
| ~ m1_subset_1(U_4780,f1_s20_fraenkel) ) )
& ! [U_4782] :
( ( p1_s20_fraenkel(sK599(U_4782),f4_s20_fraenkel)
& U_4782 = f3_s20_fraenkel(sK599(U_4782),f4_s20_fraenkel)
& m1_subset_1(sK599(U_4782),f1_s20_fraenkel) )
| ~ r2_hidden(U_4782,a_0_37_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK599]),skolemize(U_4779,sK599(U_4782))],[f_1679_3]) ).
fof(f_1679_5,plain,
( ! [U_4782] :
( p1_s20_fraenkel(sK599(U_4782),f4_s20_fraenkel)
| ~ sP792(U_4782) )
& ! [U_4782] :
( U_4782 = f3_s20_fraenkel(sK599(U_4782),f4_s20_fraenkel)
| ~ sP792(U_4782) )
& ! [U_4782] :
( m1_subset_1(sK599(U_4782),f1_s20_fraenkel)
| ~ sP792(U_4782) )
& ! [U_4780,U_4783] :
( r2_hidden(U_4783,a_0_37_fraenkel)
| ~ p1_s20_fraenkel(U_4780,f4_s20_fraenkel)
| U_4783 != f3_s20_fraenkel(U_4780,f4_s20_fraenkel)
| ~ m1_subset_1(U_4780,f1_s20_fraenkel) )
& ! [U_4782] :
( sP792(U_4782)
| ~ r2_hidden(U_4782,a_0_37_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP792])],[f_1679_4]) ).
cnf(f_1679_6,plain,
( sP792(U_4782)
| ~ r2_hidden(U_4782,a_0_37_fraenkel) ),
inference(clausify,[status(thm)],[f_1679_5]) ).
cnf(f_1679_7,plain,
( r2_hidden(U_4783,a_0_37_fraenkel)
| ~ p1_s20_fraenkel(U_4780,f4_s20_fraenkel)
| U_4783 != f3_s20_fraenkel(U_4780,f4_s20_fraenkel)
| ~ m1_subset_1(U_4780,f1_s20_fraenkel) ),
inference(clausify,[status(thm)],[f_1679_5]) ).
cnf(f_1679_8,plain,
( m1_subset_1(sK599(U_4782),f1_s20_fraenkel)
| ~ sP792(U_4782) ),
inference(clausify,[status(thm)],[f_1679_5]) ).
cnf(f_1679_9,plain,
( U_4782 = f3_s20_fraenkel(sK599(U_4782),f4_s20_fraenkel)
| ~ sP792(U_4782) ),
inference(clausify,[status(thm)],[f_1679_5]) ).
cnf(f_1679_10,plain,
( p1_s20_fraenkel(sK599(U_4782),f4_s20_fraenkel)
| ~ sP792(U_4782) ),
inference(clausify,[status(thm)],[f_1679_5]) ).
fof(f_1680_1,plain,
! [A] :
( ( r2_hidden(A,a_0_38_fraenkel)
| ! [B] :
( ~ r2_hidden(B,f2_s21_fraenkel)
| A != f3_s21_fraenkel(B)
| ~ m1_subset_1(B,f1_s21_fraenkel) ) )
& ( ? [B] :
( r2_hidden(B,f2_s21_fraenkel)
& A = f3_s21_fraenkel(B)
& m1_subset_1(B,f1_s21_fraenkel) )
| ~ r2_hidden(A,a_0_38_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_38_fraenkel]) ).
fof(f_1680_2,plain,
! [U_4786] :
( ( r2_hidden(U_4786,a_0_38_fraenkel)
| ! [U_4785] :
( ~ r2_hidden(U_4785,f2_s21_fraenkel)
| U_4786 != f3_s21_fraenkel(U_4785)
| ~ m1_subset_1(U_4785,f1_s21_fraenkel) ) )
& ( ? [U_4784] :
( r2_hidden(U_4784,f2_s21_fraenkel)
& U_4786 = f3_s21_fraenkel(U_4784)
& m1_subset_1(U_4784,f1_s21_fraenkel) )
| ~ r2_hidden(U_4786,a_0_38_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1680_1]) ).
fof(f_1680_3,plain,
( ! [U_4788] :
( r2_hidden(U_4788,a_0_38_fraenkel)
| ! [U_4785] :
( ~ r2_hidden(U_4785,f2_s21_fraenkel)
| U_4788 != f3_s21_fraenkel(U_4785)
| ~ m1_subset_1(U_4785,f1_s21_fraenkel) ) )
& ! [U_4787] :
( ? [U_4784] :
( r2_hidden(U_4784,f2_s21_fraenkel)
& U_4787 = f3_s21_fraenkel(U_4784)
& m1_subset_1(U_4784,f1_s21_fraenkel) )
| ~ r2_hidden(U_4787,a_0_38_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1680_2]) ).
fof(f_1680_4,plain,
( ! [U_4788] :
( r2_hidden(U_4788,a_0_38_fraenkel)
| ! [U_4785] :
( ~ r2_hidden(U_4785,f2_s21_fraenkel)
| U_4788 != f3_s21_fraenkel(U_4785)
| ~ m1_subset_1(U_4785,f1_s21_fraenkel) ) )
& ! [U_4787] :
( ( r2_hidden(sK600(U_4787),f2_s21_fraenkel)
& U_4787 = f3_s21_fraenkel(sK600(U_4787))
& m1_subset_1(sK600(U_4787),f1_s21_fraenkel) )
| ~ r2_hidden(U_4787,a_0_38_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK600]),skolemize(U_4784,sK600(U_4787))],[f_1680_3]) ).
fof(f_1680_5,plain,
( ! [U_4787] :
( r2_hidden(sK600(U_4787),f2_s21_fraenkel)
| ~ sP793(U_4787) )
& ! [U_4787] :
( U_4787 = f3_s21_fraenkel(sK600(U_4787))
| ~ sP793(U_4787) )
& ! [U_4787] :
( m1_subset_1(sK600(U_4787),f1_s21_fraenkel)
| ~ sP793(U_4787) )
& ! [U_4785,U_4788] :
( r2_hidden(U_4788,a_0_38_fraenkel)
| ~ r2_hidden(U_4785,f2_s21_fraenkel)
| U_4788 != f3_s21_fraenkel(U_4785)
| ~ m1_subset_1(U_4785,f1_s21_fraenkel) )
& ! [U_4787] :
( sP793(U_4787)
| ~ r2_hidden(U_4787,a_0_38_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP793])],[f_1680_4]) ).
cnf(f_1680_6,plain,
( sP793(U_4787)
| ~ r2_hidden(U_4787,a_0_38_fraenkel) ),
inference(clausify,[status(thm)],[f_1680_5]) ).
cnf(f_1680_7,plain,
( r2_hidden(U_4788,a_0_38_fraenkel)
| ~ r2_hidden(U_4785,f2_s21_fraenkel)
| U_4788 != f3_s21_fraenkel(U_4785)
| ~ m1_subset_1(U_4785,f1_s21_fraenkel) ),
inference(clausify,[status(thm)],[f_1680_5]) ).
cnf(f_1680_8,plain,
( m1_subset_1(sK600(U_4787),f1_s21_fraenkel)
| ~ sP793(U_4787) ),
inference(clausify,[status(thm)],[f_1680_5]) ).
cnf(f_1680_9,plain,
( U_4787 = f3_s21_fraenkel(sK600(U_4787))
| ~ sP793(U_4787) ),
inference(clausify,[status(thm)],[f_1680_5]) ).
cnf(f_1680_10,plain,
( r2_hidden(sK600(U_4787),f2_s21_fraenkel)
| ~ sP793(U_4787) ),
inference(clausify,[status(thm)],[f_1680_5]) ).
fof(f_1681_1,plain,
! [A] :
( ( r2_hidden(A,a_0_39_fraenkel)
| ! [B,C] :
( ~ r2_hidden(C,f4_s22_fraenkel)
| ~ r2_hidden(B,f3_s22_fraenkel)
| A != f5_s22_fraenkel(B,C)
| ~ m1_subset_1(C,f2_s22_fraenkel)
| ~ m1_subset_1(B,f1_s22_fraenkel) ) )
& ( ? [B,C] :
( r2_hidden(C,f4_s22_fraenkel)
& r2_hidden(B,f3_s22_fraenkel)
& A = f5_s22_fraenkel(B,C)
& m1_subset_1(C,f2_s22_fraenkel)
& m1_subset_1(B,f1_s22_fraenkel) )
| ~ r2_hidden(A,a_0_39_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_39_fraenkel]) ).
fof(f_1681_2,plain,
! [U_4793] :
( ( r2_hidden(U_4793,a_0_39_fraenkel)
| ! [U_4792,U_4791] :
( ~ r2_hidden(U_4791,f4_s22_fraenkel)
| ~ r2_hidden(U_4792,f3_s22_fraenkel)
| U_4793 != f5_s22_fraenkel(U_4792,U_4791)
| ~ m1_subset_1(U_4791,f2_s22_fraenkel)
| ~ m1_subset_1(U_4792,f1_s22_fraenkel) ) )
& ( ? [U_4790,U_4789] :
( r2_hidden(U_4789,f4_s22_fraenkel)
& r2_hidden(U_4790,f3_s22_fraenkel)
& U_4793 = f5_s22_fraenkel(U_4790,U_4789)
& m1_subset_1(U_4789,f2_s22_fraenkel)
& m1_subset_1(U_4790,f1_s22_fraenkel) )
| ~ r2_hidden(U_4793,a_0_39_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1681_1]) ).
fof(f_1681_3,plain,
( ! [U_4795] :
( r2_hidden(U_4795,a_0_39_fraenkel)
| ! [U_4792] :
( ! [U_4791] :
( ~ r2_hidden(U_4791,f4_s22_fraenkel)
| U_4795 != f5_s22_fraenkel(U_4792,U_4791)
| ~ m1_subset_1(U_4791,f2_s22_fraenkel) )
| ~ r2_hidden(U_4792,f3_s22_fraenkel)
| ~ m1_subset_1(U_4792,f1_s22_fraenkel) ) )
& ! [U_4794] :
( ? [U_4790] :
( ? [U_4789] :
( r2_hidden(U_4789,f4_s22_fraenkel)
& U_4794 = f5_s22_fraenkel(U_4790,U_4789)
& m1_subset_1(U_4789,f2_s22_fraenkel) )
& r2_hidden(U_4790,f3_s22_fraenkel)
& m1_subset_1(U_4790,f1_s22_fraenkel) )
| ~ r2_hidden(U_4794,a_0_39_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1681_2]) ).
fof(f_1681_4,plain,
( ! [U_4795] :
( r2_hidden(U_4795,a_0_39_fraenkel)
| ! [U_4792] :
( ! [U_4791] :
( ~ r2_hidden(U_4791,f4_s22_fraenkel)
| U_4795 != f5_s22_fraenkel(U_4792,U_4791)
| ~ m1_subset_1(U_4791,f2_s22_fraenkel) )
| ~ r2_hidden(U_4792,f3_s22_fraenkel)
| ~ m1_subset_1(U_4792,f1_s22_fraenkel) ) )
& ! [U_4794] :
( ( ? [U_4789] :
( r2_hidden(U_4789,f4_s22_fraenkel)
& U_4794 = f5_s22_fraenkel(sK601(U_4794),U_4789)
& m1_subset_1(U_4789,f2_s22_fraenkel) )
& r2_hidden(sK601(U_4794),f3_s22_fraenkel)
& m1_subset_1(sK601(U_4794),f1_s22_fraenkel) )
| ~ r2_hidden(U_4794,a_0_39_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK601]),skolemize(U_4790,sK601(U_4794))],[f_1681_3]) ).
fof(f_1681_5,plain,
( ! [U_4795] :
( r2_hidden(U_4795,a_0_39_fraenkel)
| ! [U_4792] :
( ! [U_4791] :
( ~ r2_hidden(U_4791,f4_s22_fraenkel)
| U_4795 != f5_s22_fraenkel(U_4792,U_4791)
| ~ m1_subset_1(U_4791,f2_s22_fraenkel) )
| ~ r2_hidden(U_4792,f3_s22_fraenkel)
| ~ m1_subset_1(U_4792,f1_s22_fraenkel) ) )
& ! [U_4794] :
( ( r2_hidden(sK602(U_4794),f4_s22_fraenkel)
& U_4794 = f5_s22_fraenkel(sK601(U_4794),sK602(U_4794))
& m1_subset_1(sK602(U_4794),f2_s22_fraenkel)
& r2_hidden(sK601(U_4794),f3_s22_fraenkel)
& m1_subset_1(sK601(U_4794),f1_s22_fraenkel) )
| ~ r2_hidden(U_4794,a_0_39_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK602]),skolemize(U_4789,sK602(U_4794))],[f_1681_4]) ).
fof(f_1681_6,plain,
( ! [U_4794] :
( r2_hidden(sK602(U_4794),f4_s22_fraenkel)
| ~ sP794(U_4794) )
& ! [U_4794] :
( U_4794 = f5_s22_fraenkel(sK601(U_4794),sK602(U_4794))
| ~ sP794(U_4794) )
& ! [U_4794] :
( m1_subset_1(sK602(U_4794),f2_s22_fraenkel)
| ~ sP794(U_4794) )
& ! [U_4794] :
( r2_hidden(sK601(U_4794),f3_s22_fraenkel)
| ~ sP794(U_4794) )
& ! [U_4794] :
( m1_subset_1(sK601(U_4794),f1_s22_fraenkel)
| ~ sP794(U_4794) )
& ! [U_4795,U_4791,U_4792] :
( r2_hidden(U_4795,a_0_39_fraenkel)
| ~ r2_hidden(U_4791,f4_s22_fraenkel)
| U_4795 != f5_s22_fraenkel(U_4792,U_4791)
| ~ m1_subset_1(U_4791,f2_s22_fraenkel)
| ~ r2_hidden(U_4792,f3_s22_fraenkel)
| ~ m1_subset_1(U_4792,f1_s22_fraenkel) )
& ! [U_4794] :
( sP794(U_4794)
| ~ r2_hidden(U_4794,a_0_39_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP794])],[f_1681_5]) ).
cnf(f_1681_7,plain,
( sP794(U_4794)
| ~ r2_hidden(U_4794,a_0_39_fraenkel) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
cnf(f_1681_8,plain,
( r2_hidden(U_4795,a_0_39_fraenkel)
| ~ r2_hidden(U_4791,f4_s22_fraenkel)
| U_4795 != f5_s22_fraenkel(U_4792,U_4791)
| ~ m1_subset_1(U_4791,f2_s22_fraenkel)
| ~ r2_hidden(U_4792,f3_s22_fraenkel)
| ~ m1_subset_1(U_4792,f1_s22_fraenkel) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
cnf(f_1681_9,plain,
( m1_subset_1(sK601(U_4794),f1_s22_fraenkel)
| ~ sP794(U_4794) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
cnf(f_1681_10,plain,
( r2_hidden(sK601(U_4794),f3_s22_fraenkel)
| ~ sP794(U_4794) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
cnf(f_1681_11,plain,
( m1_subset_1(sK602(U_4794),f2_s22_fraenkel)
| ~ sP794(U_4794) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
cnf(f_1681_12,plain,
( U_4794 = f5_s22_fraenkel(sK601(U_4794),sK602(U_4794))
| ~ sP794(U_4794) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
cnf(f_1681_13,plain,
( r2_hidden(sK602(U_4794),f4_s22_fraenkel)
| ~ sP794(U_4794) ),
inference(clausify,[status(thm)],[f_1681_6]) ).
fof(f_1682_1,plain,
! [A] :
( ( r2_hidden(A,a_0_40_fraenkel)
| ! [B] :
( ~ r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,B,f3_s25_fraenkel),f4_s25_fraenkel)
| A != f5_s25_fraenkel(B)
| ~ m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) ) )
& ( ? [B] :
( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,B,f3_s25_fraenkel),f4_s25_fraenkel)
& A = f5_s25_fraenkel(B)
& m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ r2_hidden(A,a_0_40_fraenkel) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_40_fraenkel]) ).
fof(f_1682_2,plain,
! [U_4798] :
( ( r2_hidden(U_4798,a_0_40_fraenkel)
| ! [U_4797] :
( ~ r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4797,f3_s25_fraenkel),f4_s25_fraenkel)
| U_4798 != f5_s25_fraenkel(U_4797)
| ~ m2_fraenkel(U_4797,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) ) )
& ( ? [U_4796] :
( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4796,f3_s25_fraenkel),f4_s25_fraenkel)
& U_4798 = f5_s25_fraenkel(U_4796)
& m2_fraenkel(U_4796,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ r2_hidden(U_4798,a_0_40_fraenkel) ) ),
inference(variable_rename,[status(thm)],[f_1682_1]) ).
fof(f_1682_3,plain,
( ! [U_4800] :
( r2_hidden(U_4800,a_0_40_fraenkel)
| ! [U_4797] :
( ~ r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4797,f3_s25_fraenkel),f4_s25_fraenkel)
| U_4800 != f5_s25_fraenkel(U_4797)
| ~ m2_fraenkel(U_4797,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) ) )
& ! [U_4799] :
( ? [U_4796] :
( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4796,f3_s25_fraenkel),f4_s25_fraenkel)
& U_4799 = f5_s25_fraenkel(U_4796)
& m2_fraenkel(U_4796,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ r2_hidden(U_4799,a_0_40_fraenkel) ) ),
inference(miniscope,[status(thm)],[f_1682_2]) ).
fof(f_1682_4,plain,
( ! [U_4800] :
( r2_hidden(U_4800,a_0_40_fraenkel)
| ! [U_4797] :
( ~ r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4797,f3_s25_fraenkel),f4_s25_fraenkel)
| U_4800 != f5_s25_fraenkel(U_4797)
| ~ m2_fraenkel(U_4797,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) ) )
& ! [U_4799] :
( ( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,sK603(U_4799),f3_s25_fraenkel),f4_s25_fraenkel)
& U_4799 = f5_s25_fraenkel(sK603(U_4799))
& m2_fraenkel(sK603(U_4799),f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
| ~ r2_hidden(U_4799,a_0_40_fraenkel) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK603]),skolemize(U_4796,sK603(U_4799))],[f_1682_3]) ).
fof(f_1682_5,plain,
( ! [U_4799] :
( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,sK603(U_4799),f3_s25_fraenkel),f4_s25_fraenkel)
| ~ sP795(U_4799) )
& ! [U_4799] :
( U_4799 = f5_s25_fraenkel(sK603(U_4799))
| ~ sP795(U_4799) )
& ! [U_4799] :
( m2_fraenkel(sK603(U_4799),f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
| ~ sP795(U_4799) )
& ! [U_4800,U_4797] :
( r2_hidden(U_4800,a_0_40_fraenkel)
| ~ r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4797,f3_s25_fraenkel),f4_s25_fraenkel)
| U_4800 != f5_s25_fraenkel(U_4797)
| ~ m2_fraenkel(U_4797,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) )
& ! [U_4799] :
( sP795(U_4799)
| ~ r2_hidden(U_4799,a_0_40_fraenkel) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP795])],[f_1682_4]) ).
cnf(f_1682_6,plain,
( sP795(U_4799)
| ~ r2_hidden(U_4799,a_0_40_fraenkel) ),
inference(clausify,[status(thm)],[f_1682_5]) ).
cnf(f_1682_7,plain,
( r2_hidden(U_4800,a_0_40_fraenkel)
| ~ r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,U_4797,f3_s25_fraenkel),f4_s25_fraenkel)
| U_4800 != f5_s25_fraenkel(U_4797)
| ~ m2_fraenkel(U_4797,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) ),
inference(clausify,[status(thm)],[f_1682_5]) ).
cnf(f_1682_8,plain,
( m2_fraenkel(sK603(U_4799),f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel))
| ~ sP795(U_4799) ),
inference(clausify,[status(thm)],[f_1682_5]) ).
cnf(f_1682_9,plain,
( U_4799 = f5_s25_fraenkel(sK603(U_4799))
| ~ sP795(U_4799) ),
inference(clausify,[status(thm)],[f_1682_5]) ).
cnf(f_1682_10,plain,
( r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,sK603(U_4799),f3_s25_fraenkel),f4_s25_fraenkel)
| ~ sP795(U_4799) ),
inference(clausify,[status(thm)],[f_1682_5]) ).
fof(f_1683_1,plain,
~ v1_xboole_0(k1_numbers),
inference(fof_nnf,[status(thm)],[fc1_numbers]) ).
fof(f_1683_2,plain,
~ v1_xboole_0(k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1683_1]) ).
cnf(f_1683_3,plain,
~ v1_xboole_0(k1_numbers),
inference(clausify,[status(thm)],[f_1683_2]) ).
fof(f_1684_1,plain,
~ v1_xboole_0(k2_numbers),
inference(fof_nnf,[status(thm)],[fc2_numbers]) ).
fof(f_1684_2,plain,
~ v1_xboole_0(k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1684_1]) ).
cnf(f_1684_3,plain,
~ v1_xboole_0(k2_numbers),
inference(clausify,[status(thm)],[f_1684_2]) ).
fof(f_1685_1,plain,
~ v1_xboole_0(k3_numbers),
inference(fof_nnf,[status(thm)],[fc3_numbers]) ).
fof(f_1685_2,plain,
~ v1_xboole_0(k3_numbers),
inference(definitional_conversion,[status(esa)],[f_1685_1]) ).
cnf(f_1685_3,plain,
~ v1_xboole_0(k3_numbers),
inference(clausify,[status(thm)],[f_1685_2]) ).
fof(f_1686_1,plain,
~ v1_xboole_0(k4_numbers),
inference(fof_nnf,[status(thm)],[fc4_numbers]) ).
fof(f_1686_2,plain,
~ v1_xboole_0(k4_numbers),
inference(definitional_conversion,[status(esa)],[f_1686_1]) ).
cnf(f_1686_3,plain,
~ v1_xboole_0(k4_numbers),
inference(clausify,[status(thm)],[f_1686_2]) ).
fof(f_1687_1,plain,
k1_numbers = k4_xboole_0(k2_xboole_0(k2_arytm_2,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)),k1_tarski(k4_tarski(np__0,np__0))),
inference(fof_nnf,[status(thm)],[d1_numbers]) ).
fof(f_1687_2,plain,
k1_numbers = k4_xboole_0(k2_xboole_0(k2_arytm_2,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)),k1_tarski(k4_tarski(np__0,np__0))),
inference(definitional_conversion,[status(esa)],[f_1687_1]) ).
cnf(f_1687_3,plain,
k1_numbers = k4_xboole_0(k2_xboole_0(k2_arytm_2,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)),k1_tarski(k4_tarski(np__0,np__0))),
inference(clausify,[status(thm)],[f_1687_2]) ).
fof(f_1688_1,plain,
k3_numbers = k4_xboole_0(k2_xboole_0(k6_arytm_3,k2_zfmisc_1(k1_tarski(np__0),k6_arytm_3)),k1_tarski(k4_tarski(np__0,np__0))),
inference(fof_nnf,[status(thm)],[d3_numbers]) ).
fof(f_1688_2,plain,
k3_numbers = k4_xboole_0(k2_xboole_0(k6_arytm_3,k2_zfmisc_1(k1_tarski(np__0),k6_arytm_3)),k1_tarski(k4_tarski(np__0,np__0))),
inference(definitional_conversion,[status(esa)],[f_1688_1]) ).
cnf(f_1688_3,plain,
k3_numbers = k4_xboole_0(k2_xboole_0(k6_arytm_3,k2_zfmisc_1(k1_tarski(np__0),k6_arytm_3)),k1_tarski(k4_tarski(np__0,np__0))),
inference(clausify,[status(thm)],[f_1688_2]) ).
fof(f_1689_1,plain,
k4_numbers = k4_xboole_0(k2_xboole_0(k5_ordinal2,k2_zfmisc_1(k1_tarski(np__0),k5_ordinal2)),k1_tarski(k4_tarski(np__0,np__0))),
inference(fof_nnf,[status(thm)],[d4_numbers]) ).
fof(f_1689_2,plain,
k4_numbers = k4_xboole_0(k2_xboole_0(k5_ordinal2,k2_zfmisc_1(k1_tarski(np__0),k5_ordinal2)),k1_tarski(k4_tarski(np__0,np__0))),
inference(definitional_conversion,[status(esa)],[f_1689_1]) ).
cnf(f_1689_3,plain,
k4_numbers = k4_xboole_0(k2_xboole_0(k5_ordinal2,k2_zfmisc_1(k1_tarski(np__0),k5_ordinal2)),k1_tarski(k4_tarski(np__0,np__0))),
inference(clausify,[status(thm)],[f_1689_2]) ).
fof(f_1690_1,plain,
r2_xboole_0(k1_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t1_numbers]) ).
fof(f_1690_2,plain,
r2_xboole_0(k1_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1690_1]) ).
cnf(f_1690_3,plain,
r2_xboole_0(k1_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1690_2]) ).
fof(f_1691_1,plain,
r2_xboole_0(k3_numbers,k1_numbers),
inference(fof_nnf,[status(thm)],[t2_numbers]) ).
fof(f_1691_2,plain,
r2_xboole_0(k3_numbers,k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1691_1]) ).
cnf(f_1691_3,plain,
r2_xboole_0(k3_numbers,k1_numbers),
inference(clausify,[status(thm)],[f_1691_2]) ).
fof(f_1692_1,plain,
r2_xboole_0(k3_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t3_numbers]) ).
fof(f_1692_2,plain,
r2_xboole_0(k3_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1692_1]) ).
cnf(f_1692_3,plain,
r2_xboole_0(k3_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1692_2]) ).
fof(f_1693_1,plain,
r2_xboole_0(k4_numbers,k3_numbers),
inference(fof_nnf,[status(thm)],[t4_numbers]) ).
fof(f_1693_2,plain,
r2_xboole_0(k4_numbers,k3_numbers),
inference(definitional_conversion,[status(esa)],[f_1693_1]) ).
cnf(f_1693_3,plain,
r2_xboole_0(k4_numbers,k3_numbers),
inference(clausify,[status(thm)],[f_1693_2]) ).
fof(f_1694_1,plain,
r2_xboole_0(k4_numbers,k1_numbers),
inference(fof_nnf,[status(thm)],[t5_numbers]) ).
fof(f_1694_2,plain,
r2_xboole_0(k4_numbers,k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1694_1]) ).
cnf(f_1694_3,plain,
r2_xboole_0(k4_numbers,k1_numbers),
inference(clausify,[status(thm)],[f_1694_2]) ).
fof(f_1695_1,plain,
r2_xboole_0(k4_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t6_numbers]) ).
fof(f_1695_2,plain,
r2_xboole_0(k4_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1695_1]) ).
cnf(f_1695_3,plain,
r2_xboole_0(k4_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1695_2]) ).
fof(f_1696_1,plain,
r2_xboole_0(k5_numbers,k4_numbers),
inference(fof_nnf,[status(thm)],[t7_numbers]) ).
fof(f_1696_2,plain,
r2_xboole_0(k5_numbers,k4_numbers),
inference(definitional_conversion,[status(esa)],[f_1696_1]) ).
cnf(f_1696_3,plain,
r2_xboole_0(k5_numbers,k4_numbers),
inference(clausify,[status(thm)],[f_1696_2]) ).
fof(f_1697_1,plain,
r2_xboole_0(k5_numbers,k3_numbers),
inference(fof_nnf,[status(thm)],[t8_numbers]) ).
fof(f_1697_2,plain,
r2_xboole_0(k5_numbers,k3_numbers),
inference(definitional_conversion,[status(esa)],[f_1697_1]) ).
cnf(f_1697_3,plain,
r2_xboole_0(k5_numbers,k3_numbers),
inference(clausify,[status(thm)],[f_1697_2]) ).
fof(f_1698_1,plain,
r2_xboole_0(k5_numbers,k1_numbers),
inference(fof_nnf,[status(thm)],[t9_numbers]) ).
fof(f_1698_2,plain,
r2_xboole_0(k5_numbers,k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1698_1]) ).
cnf(f_1698_3,plain,
r2_xboole_0(k5_numbers,k1_numbers),
inference(clausify,[status(thm)],[f_1698_2]) ).
fof(f_1699_1,plain,
r2_xboole_0(k5_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t10_numbers]) ).
fof(f_1699_2,plain,
r2_xboole_0(k5_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1699_1]) ).
cnf(f_1699_3,plain,
r2_xboole_0(k5_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1699_2]) ).
fof(f_1700_1,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t11_numbers]) ).
fof(f_1700_2,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1700_1]) ).
cnf(f_1700_3,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1700_2]) ).
fof(f_1701_1,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(fof_nnf,[status(thm)],[t12_numbers]) ).
fof(f_1701_2,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1701_1]) ).
cnf(f_1701_3,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(clausify,[status(thm)],[f_1701_2]) ).
fof(f_1702_1,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t13_numbers]) ).
fof(f_1702_2,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1702_1]) ).
cnf(f_1702_3,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1702_2]) ).
fof(f_1703_1,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(fof_nnf,[status(thm)],[t14_numbers]) ).
fof(f_1703_2,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(definitional_conversion,[status(esa)],[f_1703_1]) ).
cnf(f_1703_3,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(clausify,[status(thm)],[f_1703_2]) ).
fof(f_1704_1,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(fof_nnf,[status(thm)],[t15_numbers]) ).
fof(f_1704_2,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1704_1]) ).
cnf(f_1704_3,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(clausify,[status(thm)],[f_1704_2]) ).
fof(f_1705_1,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t16_numbers]) ).
fof(f_1705_2,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1705_1]) ).
cnf(f_1705_3,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1705_2]) ).
fof(f_1706_1,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(fof_nnf,[status(thm)],[t17_numbers]) ).
fof(f_1706_2,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(definitional_conversion,[status(esa)],[f_1706_1]) ).
cnf(f_1706_3,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(clausify,[status(thm)],[f_1706_2]) ).
fof(f_1707_1,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(fof_nnf,[status(thm)],[t18_numbers]) ).
fof(f_1707_2,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(definitional_conversion,[status(esa)],[f_1707_1]) ).
cnf(f_1707_3,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(clausify,[status(thm)],[f_1707_2]) ).
fof(f_1708_1,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(fof_nnf,[status(thm)],[t19_numbers]) ).
fof(f_1708_2,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1708_1]) ).
cnf(f_1708_3,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(clausify,[status(thm)],[f_1708_2]) ).
fof(f_1709_1,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(fof_nnf,[status(thm)],[t20_numbers]) ).
fof(f_1709_2,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(definitional_conversion,[status(esa)],[f_1709_1]) ).
cnf(f_1709_3,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(clausify,[status(thm)],[f_1709_2]) ).
fof(f_1710_1,plain,
k1_numbers != k2_numbers,
inference(fof_nnf,[status(thm)],[t21_numbers]) ).
fof(f_1710_2,plain,
k1_numbers != k2_numbers,
inference(definitional_conversion,[status(esa)],[f_1710_1]) ).
cnf(f_1710_3,plain,
k1_numbers != k2_numbers,
inference(clausify,[status(thm)],[f_1710_2]) ).
fof(f_1711_1,plain,
k3_numbers != k1_numbers,
inference(fof_nnf,[status(thm)],[t22_numbers]) ).
fof(f_1711_2,plain,
k3_numbers != k1_numbers,
inference(definitional_conversion,[status(esa)],[f_1711_1]) ).
cnf(f_1711_3,plain,
k3_numbers != k1_numbers,
inference(clausify,[status(thm)],[f_1711_2]) ).
fof(f_1712_1,plain,
k3_numbers != k2_numbers,
inference(fof_nnf,[status(thm)],[t23_numbers]) ).
fof(f_1712_2,plain,
k3_numbers != k2_numbers,
inference(definitional_conversion,[status(esa)],[f_1712_1]) ).
cnf(f_1712_3,plain,
k3_numbers != k2_numbers,
inference(clausify,[status(thm)],[f_1712_2]) ).
fof(f_1713_1,plain,
k4_numbers != k3_numbers,
inference(fof_nnf,[status(thm)],[t24_numbers]) ).
fof(f_1713_2,plain,
k4_numbers != k3_numbers,
inference(definitional_conversion,[status(esa)],[f_1713_1]) ).
cnf(f_1713_3,plain,
k4_numbers != k3_numbers,
inference(clausify,[status(thm)],[f_1713_2]) ).
fof(f_1714_1,plain,
k4_numbers != k1_numbers,
inference(fof_nnf,[status(thm)],[t25_numbers]) ).
fof(f_1714_2,plain,
k4_numbers != k1_numbers,
inference(definitional_conversion,[status(esa)],[f_1714_1]) ).
cnf(f_1714_3,plain,
k4_numbers != k1_numbers,
inference(clausify,[status(thm)],[f_1714_2]) ).
fof(f_1715_1,plain,
k4_numbers != k2_numbers,
inference(fof_nnf,[status(thm)],[t26_numbers]) ).
fof(f_1715_2,plain,
k4_numbers != k2_numbers,
inference(definitional_conversion,[status(esa)],[f_1715_1]) ).
cnf(f_1715_3,plain,
k4_numbers != k2_numbers,
inference(clausify,[status(thm)],[f_1715_2]) ).
fof(f_1716_1,plain,
k5_numbers != k4_numbers,
inference(fof_nnf,[status(thm)],[t27_numbers]) ).
fof(f_1716_2,plain,
k5_numbers != k4_numbers,
inference(definitional_conversion,[status(esa)],[f_1716_1]) ).
cnf(f_1716_3,plain,
k5_numbers != k4_numbers,
inference(clausify,[status(thm)],[f_1716_2]) ).
fof(f_1717_1,plain,
k5_numbers != k3_numbers,
inference(fof_nnf,[status(thm)],[t28_numbers]) ).
fof(f_1717_2,plain,
k5_numbers != k3_numbers,
inference(definitional_conversion,[status(esa)],[f_1717_1]) ).
cnf(f_1717_3,plain,
k5_numbers != k3_numbers,
inference(clausify,[status(thm)],[f_1717_2]) ).
fof(f_1718_1,plain,
k5_numbers != k1_numbers,
inference(fof_nnf,[status(thm)],[t29_numbers]) ).
fof(f_1718_2,plain,
k5_numbers != k1_numbers,
inference(definitional_conversion,[status(esa)],[f_1718_1]) ).
cnf(f_1718_3,plain,
k5_numbers != k1_numbers,
inference(clausify,[status(thm)],[f_1718_2]) ).
fof(f_1719_1,plain,
k5_numbers != k2_numbers,
inference(fof_nnf,[status(thm)],[t30_numbers]) ).
fof(f_1719_2,plain,
k5_numbers != k2_numbers,
inference(definitional_conversion,[status(esa)],[f_1719_1]) ).
cnf(f_1719_3,plain,
k5_numbers != k2_numbers,
inference(clausify,[status(thm)],[f_1719_2]) ).
fof(f_1720_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_numbers]) ).
fof(f_1720_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1720_1]) ).
cnf(f_1720_3,plain,
$true,
inference(clausify,[status(thm)],[f_1720_2]) ).
fof(f_1721_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_numbers]) ).
fof(f_1721_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1721_1]) ).
cnf(f_1721_3,plain,
$true,
inference(clausify,[status(thm)],[f_1721_2]) ).
fof(f_1722_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_numbers]) ).
fof(f_1722_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1722_1]) ).
cnf(f_1722_3,plain,
$true,
inference(clausify,[status(thm)],[f_1722_2]) ).
fof(f_1723_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k4_numbers]) ).
fof(f_1723_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1723_1]) ).
cnf(f_1723_3,plain,
$true,
inference(clausify,[status(thm)],[f_1723_2]) ).
fof(f_1724_1,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(fof_nnf,[status(thm)],[dt_k5_numbers]) ).
fof(f_1724_2,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(definitional_conversion,[status(esa)],[f_1724_1]) ).
cnf(f_1724_3,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(clausify,[status(thm)],[f_1724_2]) ).
fof(f_1725_1,plain,
k5_numbers = k5_ordinal2,
inference(fof_nnf,[status(thm)],[redefinition_k5_numbers]) ).
fof(f_1725_2,plain,
k5_numbers = k5_ordinal2,
inference(definitional_conversion,[status(esa)],[f_1725_1]) ).
cnf(f_1725_3,plain,
k5_numbers = k5_ordinal2,
inference(clausify,[status(thm)],[f_1725_2]) ).
fof(f_1726_1,plain,
k2_numbers = k2_xboole_0(k4_xboole_0(k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers),a_0_0_numbers),k1_numbers),
inference(fof_nnf,[status(thm)],[d2_numbers]) ).
fof(f_1726_2,plain,
k2_numbers = k2_xboole_0(k4_xboole_0(k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers),a_0_0_numbers),k1_numbers),
inference(definitional_conversion,[status(esa)],[f_1726_1]) ).
cnf(f_1726_3,plain,
k2_numbers = k2_xboole_0(k4_xboole_0(k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers),a_0_0_numbers),k1_numbers),
inference(clausify,[status(thm)],[f_1726_2]) ).
fof(f_1727_1,plain,
! [A] :
( ( r2_hidden(A,a_0_0_numbers)
| ! [B] :
( k1_funct_1(B,k13_arytm_3) != np__0
| A != B
| ~ m1_subset_1(B,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) ) )
& ( ? [B] :
( k1_funct_1(B,k13_arytm_3) = np__0
& A = B
& m1_subset_1(B,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) )
| ~ r2_hidden(A,a_0_0_numbers) ) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_0_0_numbers]) ).
fof(f_1727_2,plain,
! [U_4803] :
( ( r2_hidden(U_4803,a_0_0_numbers)
| ! [U_4802] :
( k1_funct_1(U_4802,k13_arytm_3) != np__0
| U_4803 != U_4802
| ~ m1_subset_1(U_4802,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) ) )
& ( ? [U_4801] :
( k1_funct_1(U_4801,k13_arytm_3) = np__0
& U_4803 = U_4801
& m1_subset_1(U_4801,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) )
| ~ r2_hidden(U_4803,a_0_0_numbers) ) ),
inference(variable_rename,[status(thm)],[f_1727_1]) ).
fof(f_1727_3,plain,
( ! [U_4805] :
( r2_hidden(U_4805,a_0_0_numbers)
| ! [U_4802] :
( k1_funct_1(U_4802,k13_arytm_3) != np__0
| U_4805 != U_4802
| ~ m1_subset_1(U_4802,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) ) )
& ! [U_4804] :
( ? [U_4801] :
( k1_funct_1(U_4801,k13_arytm_3) = np__0
& U_4804 = U_4801
& m1_subset_1(U_4801,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) )
| ~ r2_hidden(U_4804,a_0_0_numbers) ) ),
inference(miniscope,[status(thm)],[f_1727_2]) ).
fof(f_1727_4,plain,
( ! [U_4805] :
( r2_hidden(U_4805,a_0_0_numbers)
| ! [U_4802] :
( k1_funct_1(U_4802,k13_arytm_3) != np__0
| U_4805 != U_4802
| ~ m1_subset_1(U_4802,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) ) )
& ! [U_4804] :
( ( k1_funct_1(sK604(U_4804),k13_arytm_3) = np__0
& U_4804 = sK604(U_4804)
& m1_subset_1(sK604(U_4804),k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) )
| ~ r2_hidden(U_4804,a_0_0_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK604]),skolemize(U_4801,sK604(U_4804))],[f_1727_3]) ).
fof(f_1727_5,plain,
( ! [U_4804] :
( k1_funct_1(sK604(U_4804),k13_arytm_3) = np__0
| ~ sP796(U_4804) )
& ! [U_4804] :
( U_4804 = sK604(U_4804)
| ~ sP796(U_4804) )
& ! [U_4804] :
( m1_subset_1(sK604(U_4804),k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers))
| ~ sP796(U_4804) )
& ! [U_4802,U_4805] :
( r2_hidden(U_4805,a_0_0_numbers)
| k1_funct_1(U_4802,k13_arytm_3) != np__0
| U_4805 != U_4802
| ~ m1_subset_1(U_4802,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) )
& ! [U_4804] :
( sP796(U_4804)
| ~ r2_hidden(U_4804,a_0_0_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP796])],[f_1727_4]) ).
cnf(f_1727_6,plain,
( sP796(U_4804)
| ~ r2_hidden(U_4804,a_0_0_numbers) ),
inference(clausify,[status(thm)],[f_1727_5]) ).
cnf(f_1727_7,plain,
( r2_hidden(U_4805,a_0_0_numbers)
| k1_funct_1(U_4802,k13_arytm_3) != np__0
| U_4805 != U_4802
| ~ m1_subset_1(U_4802,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) ),
inference(clausify,[status(thm)],[f_1727_5]) ).
cnf(f_1727_8,plain,
( m1_subset_1(sK604(U_4804),k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers))
| ~ sP796(U_4804) ),
inference(clausify,[status(thm)],[f_1727_5]) ).
cnf(f_1727_9,plain,
( U_4804 = sK604(U_4804)
| ~ sP796(U_4804) ),
inference(clausify,[status(thm)],[f_1727_5]) ).
cnf(f_1727_10,plain,
( k1_funct_1(sK604(U_4804),k13_arytm_3) = np__0
| ~ sP796(U_4804) ),
inference(clausify,[status(thm)],[f_1727_5]) ).
fof(f_1728_1,plain,
! [A] :
( v1_xreal_0(A)
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[cc1_xreal_0]) ).
fof(f_1728_2,plain,
! [U_4806] :
( v1_xreal_0(U_4806)
| ~ v4_ordinal2(U_4806) ),
inference(variable_rename,[status(thm)],[f_1728_1]) ).
fof(f_1728_3,plain,
! [U_4806] :
( v1_xreal_0(U_4806)
| ~ v4_ordinal2(U_4806) ),
inference(definitional_conversion,[status(esa)],[f_1728_2]) ).
cnf(f_1728_4,plain,
( v1_xreal_0(U_4806)
| ~ v4_ordinal2(U_4806) ),
inference(clausify,[status(thm)],[f_1728_3]) ).
fof(f_1729_1,plain,
! [A] :
( v1_xcmplx_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[cc2_xreal_0]) ).
fof(f_1729_2,plain,
! [U_4807] :
( v1_xcmplx_0(U_4807)
| ~ v1_xreal_0(U_4807) ),
inference(variable_rename,[status(thm)],[f_1729_1]) ).
fof(f_1729_3,plain,
! [U_4807] :
( v1_xcmplx_0(U_4807)
| ~ v1_xreal_0(U_4807) ),
inference(definitional_conversion,[status(esa)],[f_1729_2]) ).
cnf(f_1729_4,plain,
( v1_xcmplx_0(U_4807)
| ~ v1_xreal_0(U_4807) ),
inference(clausify,[status(thm)],[f_1729_3]) ).
fof(f_1730_1,plain,
? [A] :
( v1_xreal_0(A)
& v1_xcmplx_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_xreal_0]) ).
fof(f_1730_2,plain,
? [U_4808] :
( v1_xreal_0(U_4808)
& v1_xcmplx_0(U_4808) ),
inference(variable_rename,[status(thm)],[f_1730_1]) ).
fof(f_1730_3,plain,
( v1_xreal_0(sK605)
& v1_xcmplx_0(sK605) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK605]),skolemize(U_4808,sK605)],[f_1730_2]) ).
fof(f_1730_4,plain,
( v1_xreal_0(sK605)
& v1_xcmplx_0(sK605) ),
inference(definitional_conversion,[status(esa)],[f_1730_3]) ).
cnf(f_1730_5,plain,
v1_xcmplx_0(sK605),
inference(clausify,[status(thm)],[f_1730_4]) ).
cnf(f_1730_6,plain,
v1_xreal_0(sK605),
inference(clausify,[status(thm)],[f_1730_4]) ).
fof(f_1731_1,plain,
! [A] :
( ( v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_xreal_0]) ).
fof(f_1731_2,plain,
! [U_4809] :
( ( v1_xreal_0(k4_xcmplx_0(U_4809))
& v1_xcmplx_0(k4_xcmplx_0(U_4809)) )
| ~ v1_xreal_0(U_4809) ),
inference(variable_rename,[status(thm)],[f_1731_1]) ).
fof(f_1731_3,plain,
( ! [U_4809] :
( v1_xreal_0(k4_xcmplx_0(U_4809))
| ~ sP797(U_4809) )
& ! [U_4809] :
( v1_xcmplx_0(k4_xcmplx_0(U_4809))
| ~ sP797(U_4809) )
& ! [U_4809] :
( sP797(U_4809)
| ~ v1_xreal_0(U_4809) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP797])],[f_1731_2]) ).
cnf(f_1731_4,plain,
( sP797(U_4809)
| ~ v1_xreal_0(U_4809) ),
inference(clausify,[status(thm)],[f_1731_3]) ).
cnf(f_1731_5,plain,
( v1_xcmplx_0(k4_xcmplx_0(U_4809))
| ~ sP797(U_4809) ),
inference(clausify,[status(thm)],[f_1731_3]) ).
cnf(f_1731_6,plain,
( v1_xreal_0(k4_xcmplx_0(U_4809))
| ~ sP797(U_4809) ),
inference(clausify,[status(thm)],[f_1731_3]) ).
fof(f_1732_1,plain,
! [A] :
( ( v1_xreal_0(k5_xcmplx_0(A))
& v1_xcmplx_0(k5_xcmplx_0(A)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_xreal_0]) ).
fof(f_1732_2,plain,
! [U_4810] :
( ( v1_xreal_0(k5_xcmplx_0(U_4810))
& v1_xcmplx_0(k5_xcmplx_0(U_4810)) )
| ~ v1_xreal_0(U_4810) ),
inference(variable_rename,[status(thm)],[f_1732_1]) ).
fof(f_1732_3,plain,
( ! [U_4810] :
( v1_xreal_0(k5_xcmplx_0(U_4810))
| ~ sP798(U_4810) )
& ! [U_4810] :
( v1_xcmplx_0(k5_xcmplx_0(U_4810))
| ~ sP798(U_4810) )
& ! [U_4810] :
( sP798(U_4810)
| ~ v1_xreal_0(U_4810) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP798])],[f_1732_2]) ).
cnf(f_1732_4,plain,
( sP798(U_4810)
| ~ v1_xreal_0(U_4810) ),
inference(clausify,[status(thm)],[f_1732_3]) ).
cnf(f_1732_5,plain,
( v1_xcmplx_0(k5_xcmplx_0(U_4810))
| ~ sP798(U_4810) ),
inference(clausify,[status(thm)],[f_1732_3]) ).
cnf(f_1732_6,plain,
( v1_xreal_0(k5_xcmplx_0(U_4810))
| ~ sP798(U_4810) ),
inference(clausify,[status(thm)],[f_1732_3]) ).
fof(f_1733_1,plain,
! [A,B] :
( ( v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) )
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_xreal_0]) ).
fof(f_1733_2,plain,
! [U_4812,U_4811] :
( ( v1_xreal_0(k2_xcmplx_0(U_4812,U_4811))
& v1_xcmplx_0(k2_xcmplx_0(U_4812,U_4811)) )
| ~ v1_xreal_0(U_4811)
| ~ v1_xreal_0(U_4812) ),
inference(variable_rename,[status(thm)],[f_1733_1]) ).
fof(f_1733_3,plain,
( ! [U_4812,U_4811] :
( v1_xreal_0(k2_xcmplx_0(U_4812,U_4811))
| ~ sP799(U_4812,U_4811) )
& ! [U_4812,U_4811] :
( v1_xcmplx_0(k2_xcmplx_0(U_4812,U_4811))
| ~ sP799(U_4812,U_4811) )
& ! [U_4812,U_4811] :
( sP799(U_4812,U_4811)
| ~ v1_xreal_0(U_4811)
| ~ v1_xreal_0(U_4812) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP799])],[f_1733_2]) ).
cnf(f_1733_4,plain,
( sP799(U_4812,U_4811)
| ~ v1_xreal_0(U_4811)
| ~ v1_xreal_0(U_4812) ),
inference(clausify,[status(thm)],[f_1733_3]) ).
cnf(f_1733_5,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4812,U_4811))
| ~ sP799(U_4812,U_4811) ),
inference(clausify,[status(thm)],[f_1733_3]) ).
cnf(f_1733_6,plain,
( v1_xreal_0(k2_xcmplx_0(U_4812,U_4811))
| ~ sP799(U_4812,U_4811) ),
inference(clausify,[status(thm)],[f_1733_3]) ).
fof(f_1734_1,plain,
! [A,B] :
( ( v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) )
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_xreal_0]) ).
fof(f_1734_2,plain,
! [U_4814,U_4813] :
( ( v1_xreal_0(k3_xcmplx_0(U_4814,U_4813))
& v1_xcmplx_0(k3_xcmplx_0(U_4814,U_4813)) )
| ~ v1_xreal_0(U_4813)
| ~ v1_xreal_0(U_4814) ),
inference(variable_rename,[status(thm)],[f_1734_1]) ).
fof(f_1734_3,plain,
( ! [U_4814,U_4813] :
( v1_xreal_0(k3_xcmplx_0(U_4814,U_4813))
| ~ sP800(U_4814,U_4813) )
& ! [U_4814,U_4813] :
( v1_xcmplx_0(k3_xcmplx_0(U_4814,U_4813))
| ~ sP800(U_4814,U_4813) )
& ! [U_4814,U_4813] :
( sP800(U_4814,U_4813)
| ~ v1_xreal_0(U_4813)
| ~ v1_xreal_0(U_4814) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP800])],[f_1734_2]) ).
cnf(f_1734_4,plain,
( sP800(U_4814,U_4813)
| ~ v1_xreal_0(U_4813)
| ~ v1_xreal_0(U_4814) ),
inference(clausify,[status(thm)],[f_1734_3]) ).
cnf(f_1734_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4814,U_4813))
| ~ sP800(U_4814,U_4813) ),
inference(clausify,[status(thm)],[f_1734_3]) ).
cnf(f_1734_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4814,U_4813))
| ~ sP800(U_4814,U_4813) ),
inference(clausify,[status(thm)],[f_1734_3]) ).
fof(f_1735_1,plain,
! [A,B] :
( ( v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) )
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_xreal_0]) ).
fof(f_1735_2,plain,
! [U_4816,U_4815] :
( ( v1_xreal_0(k6_xcmplx_0(U_4816,U_4815))
& v1_xcmplx_0(k6_xcmplx_0(U_4816,U_4815)) )
| ~ v1_xreal_0(U_4815)
| ~ v1_xreal_0(U_4816) ),
inference(variable_rename,[status(thm)],[f_1735_1]) ).
fof(f_1735_3,plain,
( ! [U_4816,U_4815] :
( v1_xreal_0(k6_xcmplx_0(U_4816,U_4815))
| ~ sP801(U_4816,U_4815) )
& ! [U_4816,U_4815] :
( v1_xcmplx_0(k6_xcmplx_0(U_4816,U_4815))
| ~ sP801(U_4816,U_4815) )
& ! [U_4816,U_4815] :
( sP801(U_4816,U_4815)
| ~ v1_xreal_0(U_4815)
| ~ v1_xreal_0(U_4816) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP801])],[f_1735_2]) ).
cnf(f_1735_4,plain,
( sP801(U_4816,U_4815)
| ~ v1_xreal_0(U_4815)
| ~ v1_xreal_0(U_4816) ),
inference(clausify,[status(thm)],[f_1735_3]) ).
cnf(f_1735_5,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4816,U_4815))
| ~ sP801(U_4816,U_4815) ),
inference(clausify,[status(thm)],[f_1735_3]) ).
cnf(f_1735_6,plain,
( v1_xreal_0(k6_xcmplx_0(U_4816,U_4815))
| ~ sP801(U_4816,U_4815) ),
inference(clausify,[status(thm)],[f_1735_3]) ).
fof(f_1736_1,plain,
! [A,B] :
( ( v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) )
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc6_xreal_0]) ).
fof(f_1736_2,plain,
! [U_4818,U_4817] :
( ( v1_xreal_0(k7_xcmplx_0(U_4818,U_4817))
& v1_xcmplx_0(k7_xcmplx_0(U_4818,U_4817)) )
| ~ v1_xreal_0(U_4817)
| ~ v1_xreal_0(U_4818) ),
inference(variable_rename,[status(thm)],[f_1736_1]) ).
fof(f_1736_3,plain,
( ! [U_4818,U_4817] :
( v1_xreal_0(k7_xcmplx_0(U_4818,U_4817))
| ~ sP802(U_4818,U_4817) )
& ! [U_4818,U_4817] :
( v1_xcmplx_0(k7_xcmplx_0(U_4818,U_4817))
| ~ sP802(U_4818,U_4817) )
& ! [U_4818,U_4817] :
( sP802(U_4818,U_4817)
| ~ v1_xreal_0(U_4817)
| ~ v1_xreal_0(U_4818) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP802])],[f_1736_2]) ).
cnf(f_1736_4,plain,
( sP802(U_4818,U_4817)
| ~ v1_xreal_0(U_4817)
| ~ v1_xreal_0(U_4818) ),
inference(clausify,[status(thm)],[f_1736_3]) ).
cnf(f_1736_5,plain,
( v1_xcmplx_0(k7_xcmplx_0(U_4818,U_4817))
| ~ sP802(U_4818,U_4817) ),
inference(clausify,[status(thm)],[f_1736_3]) ).
cnf(f_1736_6,plain,
( v1_xreal_0(k7_xcmplx_0(U_4818,U_4817))
| ~ sP802(U_4818,U_4817) ),
inference(clausify,[status(thm)],[f_1736_3]) ).
fof(f_1737_1,plain,
! [A] :
( ( ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) )
| ~ v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[cc3_xreal_0]) ).
fof(f_1737_2,plain,
! [U_4819] :
( ( ~ v3_xreal_0(U_4819)
& v1_xreal_0(U_4819)
& v1_xcmplx_0(U_4819)
& ~ v1_xboole_0(U_4819) )
| ~ v2_xreal_0(U_4819)
| ~ v1_xreal_0(U_4819) ),
inference(variable_rename,[status(thm)],[f_1737_1]) ).
fof(f_1737_3,plain,
( ! [U_4819] :
( ~ v3_xreal_0(U_4819)
| ~ sP803(U_4819) )
& ! [U_4819] :
( v1_xreal_0(U_4819)
| ~ sP803(U_4819) )
& ! [U_4819] :
( v1_xcmplx_0(U_4819)
| ~ sP803(U_4819) )
& ! [U_4819] :
( ~ v1_xboole_0(U_4819)
| ~ sP803(U_4819) )
& ! [U_4819] :
( sP803(U_4819)
| ~ v2_xreal_0(U_4819)
| ~ v1_xreal_0(U_4819) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP803])],[f_1737_2]) ).
cnf(f_1737_4,plain,
( sP803(U_4819)
| ~ v2_xreal_0(U_4819)
| ~ v1_xreal_0(U_4819) ),
inference(clausify,[status(thm)],[f_1737_3]) ).
cnf(f_1737_5,plain,
( ~ v1_xboole_0(U_4819)
| ~ sP803(U_4819) ),
inference(clausify,[status(thm)],[f_1737_3]) ).
cnf(f_1737_6,plain,
( v1_xcmplx_0(U_4819)
| ~ sP803(U_4819) ),
inference(clausify,[status(thm)],[f_1737_3]) ).
cnf(f_1737_7,plain,
( v1_xreal_0(U_4819)
| ~ sP803(U_4819) ),
inference(clausify,[status(thm)],[f_1737_3]) ).
cnf(f_1737_8,plain,
( ~ v3_xreal_0(U_4819)
| ~ sP803(U_4819) ),
inference(clausify,[status(thm)],[f_1737_3]) ).
fof(f_1738_1,plain,
! [A] :
( ( v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A) )
| v3_xreal_0(A)
| ~ v1_xreal_0(A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc4_xreal_0]) ).
fof(f_1738_2,plain,
! [U_4820] :
( ( v2_xreal_0(U_4820)
& v1_xreal_0(U_4820)
& v1_xcmplx_0(U_4820) )
| v3_xreal_0(U_4820)
| ~ v1_xreal_0(U_4820)
| v1_xboole_0(U_4820) ),
inference(variable_rename,[status(thm)],[f_1738_1]) ).
fof(f_1738_3,plain,
( ! [U_4820] :
( v2_xreal_0(U_4820)
| ~ sP804(U_4820) )
& ! [U_4820] :
( v1_xreal_0(U_4820)
| ~ sP804(U_4820) )
& ! [U_4820] :
( v1_xcmplx_0(U_4820)
| ~ sP804(U_4820) )
& ! [U_4820] :
( sP804(U_4820)
| v3_xreal_0(U_4820)
| ~ v1_xreal_0(U_4820)
| v1_xboole_0(U_4820) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP804])],[f_1738_2]) ).
cnf(f_1738_4,plain,
( sP804(U_4820)
| v3_xreal_0(U_4820)
| ~ v1_xreal_0(U_4820)
| v1_xboole_0(U_4820) ),
inference(clausify,[status(thm)],[f_1738_3]) ).
cnf(f_1738_5,plain,
( v1_xcmplx_0(U_4820)
| ~ sP804(U_4820) ),
inference(clausify,[status(thm)],[f_1738_3]) ).
cnf(f_1738_6,plain,
( v1_xreal_0(U_4820)
| ~ sP804(U_4820) ),
inference(clausify,[status(thm)],[f_1738_3]) ).
cnf(f_1738_7,plain,
( v2_xreal_0(U_4820)
| ~ sP804(U_4820) ),
inference(clausify,[status(thm)],[f_1738_3]) ).
fof(f_1739_1,plain,
! [A] :
( ( ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) )
| ~ v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[cc5_xreal_0]) ).
fof(f_1739_2,plain,
! [U_4821] :
( ( ~ v2_xreal_0(U_4821)
& v1_xreal_0(U_4821)
& v1_xcmplx_0(U_4821)
& ~ v1_xboole_0(U_4821) )
| ~ v3_xreal_0(U_4821)
| ~ v1_xreal_0(U_4821) ),
inference(variable_rename,[status(thm)],[f_1739_1]) ).
fof(f_1739_3,plain,
( ! [U_4821] :
( ~ v2_xreal_0(U_4821)
| ~ sP805(U_4821) )
& ! [U_4821] :
( v1_xreal_0(U_4821)
| ~ sP805(U_4821) )
& ! [U_4821] :
( v1_xcmplx_0(U_4821)
| ~ sP805(U_4821) )
& ! [U_4821] :
( ~ v1_xboole_0(U_4821)
| ~ sP805(U_4821) )
& ! [U_4821] :
( sP805(U_4821)
| ~ v3_xreal_0(U_4821)
| ~ v1_xreal_0(U_4821) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP805])],[f_1739_2]) ).
cnf(f_1739_4,plain,
( sP805(U_4821)
| ~ v3_xreal_0(U_4821)
| ~ v1_xreal_0(U_4821) ),
inference(clausify,[status(thm)],[f_1739_3]) ).
cnf(f_1739_5,plain,
( ~ v1_xboole_0(U_4821)
| ~ sP805(U_4821) ),
inference(clausify,[status(thm)],[f_1739_3]) ).
cnf(f_1739_6,plain,
( v1_xcmplx_0(U_4821)
| ~ sP805(U_4821) ),
inference(clausify,[status(thm)],[f_1739_3]) ).
cnf(f_1739_7,plain,
( v1_xreal_0(U_4821)
| ~ sP805(U_4821) ),
inference(clausify,[status(thm)],[f_1739_3]) ).
cnf(f_1739_8,plain,
( ~ v2_xreal_0(U_4821)
| ~ sP805(U_4821) ),
inference(clausify,[status(thm)],[f_1739_3]) ).
fof(f_1740_1,plain,
! [A] :
( ( v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A) )
| v2_xreal_0(A)
| ~ v1_xreal_0(A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc6_xreal_0]) ).
fof(f_1740_2,plain,
! [U_4822] :
( ( v3_xreal_0(U_4822)
& v1_xreal_0(U_4822)
& v1_xcmplx_0(U_4822) )
| v2_xreal_0(U_4822)
| ~ v1_xreal_0(U_4822)
| v1_xboole_0(U_4822) ),
inference(variable_rename,[status(thm)],[f_1740_1]) ).
fof(f_1740_3,plain,
( ! [U_4822] :
( v3_xreal_0(U_4822)
| ~ sP806(U_4822) )
& ! [U_4822] :
( v1_xreal_0(U_4822)
| ~ sP806(U_4822) )
& ! [U_4822] :
( v1_xcmplx_0(U_4822)
| ~ sP806(U_4822) )
& ! [U_4822] :
( sP806(U_4822)
| v2_xreal_0(U_4822)
| ~ v1_xreal_0(U_4822)
| v1_xboole_0(U_4822) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP806])],[f_1740_2]) ).
cnf(f_1740_4,plain,
( sP806(U_4822)
| v2_xreal_0(U_4822)
| ~ v1_xreal_0(U_4822)
| v1_xboole_0(U_4822) ),
inference(clausify,[status(thm)],[f_1740_3]) ).
cnf(f_1740_5,plain,
( v1_xcmplx_0(U_4822)
| ~ sP806(U_4822) ),
inference(clausify,[status(thm)],[f_1740_3]) ).
cnf(f_1740_6,plain,
( v1_xreal_0(U_4822)
| ~ sP806(U_4822) ),
inference(clausify,[status(thm)],[f_1740_3]) ).
cnf(f_1740_7,plain,
( v3_xreal_0(U_4822)
| ~ sP806(U_4822) ),
inference(clausify,[status(thm)],[f_1740_3]) ).
fof(f_1741_1,plain,
! [A] :
( ( ~ v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A) )
| ~ v1_xreal_0(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc7_xreal_0]) ).
fof(f_1741_2,plain,
! [U_4823] :
( ( ~ v3_xreal_0(U_4823)
& ~ v2_xreal_0(U_4823)
& v1_xreal_0(U_4823)
& v1_xcmplx_0(U_4823) )
| ~ v1_xreal_0(U_4823)
| ~ v1_xboole_0(U_4823) ),
inference(variable_rename,[status(thm)],[f_1741_1]) ).
fof(f_1741_3,plain,
( ! [U_4823] :
( ~ v3_xreal_0(U_4823)
| ~ sP807(U_4823) )
& ! [U_4823] :
( ~ v2_xreal_0(U_4823)
| ~ sP807(U_4823) )
& ! [U_4823] :
( v1_xreal_0(U_4823)
| ~ sP807(U_4823) )
& ! [U_4823] :
( v1_xcmplx_0(U_4823)
| ~ sP807(U_4823) )
& ! [U_4823] :
( sP807(U_4823)
| ~ v1_xreal_0(U_4823)
| ~ v1_xboole_0(U_4823) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP807])],[f_1741_2]) ).
cnf(f_1741_4,plain,
( sP807(U_4823)
| ~ v1_xreal_0(U_4823)
| ~ v1_xboole_0(U_4823) ),
inference(clausify,[status(thm)],[f_1741_3]) ).
cnf(f_1741_5,plain,
( v1_xcmplx_0(U_4823)
| ~ sP807(U_4823) ),
inference(clausify,[status(thm)],[f_1741_3]) ).
cnf(f_1741_6,plain,
( v1_xreal_0(U_4823)
| ~ sP807(U_4823) ),
inference(clausify,[status(thm)],[f_1741_3]) ).
cnf(f_1741_7,plain,
( ~ v2_xreal_0(U_4823)
| ~ sP807(U_4823) ),
inference(clausify,[status(thm)],[f_1741_3]) ).
cnf(f_1741_8,plain,
( ~ v3_xreal_0(U_4823)
| ~ sP807(U_4823) ),
inference(clausify,[status(thm)],[f_1741_3]) ).
fof(f_1742_1,plain,
! [A] :
( ( v1_xreal_0(A)
& v1_xcmplx_0(A)
& v1_xboole_0(A) )
| v3_xreal_0(A)
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[cc8_xreal_0]) ).
fof(f_1742_2,plain,
! [U_4824] :
( ( v1_xreal_0(U_4824)
& v1_xcmplx_0(U_4824)
& v1_xboole_0(U_4824) )
| v3_xreal_0(U_4824)
| v2_xreal_0(U_4824)
| ~ v1_xreal_0(U_4824) ),
inference(variable_rename,[status(thm)],[f_1742_1]) ).
fof(f_1742_3,plain,
( ! [U_4824] :
( v1_xreal_0(U_4824)
| ~ sP808(U_4824) )
& ! [U_4824] :
( v1_xcmplx_0(U_4824)
| ~ sP808(U_4824) )
& ! [U_4824] :
( v1_xboole_0(U_4824)
| ~ sP808(U_4824) )
& ! [U_4824] :
( sP808(U_4824)
| v3_xreal_0(U_4824)
| v2_xreal_0(U_4824)
| ~ v1_xreal_0(U_4824) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP808])],[f_1742_2]) ).
cnf(f_1742_4,plain,
( sP808(U_4824)
| v3_xreal_0(U_4824)
| v2_xreal_0(U_4824)
| ~ v1_xreal_0(U_4824) ),
inference(clausify,[status(thm)],[f_1742_3]) ).
cnf(f_1742_5,plain,
( v1_xboole_0(U_4824)
| ~ sP808(U_4824) ),
inference(clausify,[status(thm)],[f_1742_3]) ).
cnf(f_1742_6,plain,
( v1_xcmplx_0(U_4824)
| ~ sP808(U_4824) ),
inference(clausify,[status(thm)],[f_1742_3]) ).
cnf(f_1742_7,plain,
( v1_xreal_0(U_4824)
| ~ sP808(U_4824) ),
inference(clausify,[status(thm)],[f_1742_3]) ).
fof(f_1743_1,plain,
? [A] :
( ~ v3_xreal_0(A)
& v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_xreal_0]) ).
fof(f_1743_2,plain,
? [U_4825] :
( ~ v3_xreal_0(U_4825)
& v2_xreal_0(U_4825)
& v1_xreal_0(U_4825)
& v1_xcmplx_0(U_4825)
& ~ v1_xboole_0(U_4825) ),
inference(variable_rename,[status(thm)],[f_1743_1]) ).
fof(f_1743_3,plain,
( ~ v3_xreal_0(sK606)
& v2_xreal_0(sK606)
& v1_xreal_0(sK606)
& v1_xcmplx_0(sK606)
& ~ v1_xboole_0(sK606) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK606]),skolemize(U_4825,sK606)],[f_1743_2]) ).
fof(f_1743_4,plain,
( ~ v3_xreal_0(sK606)
& v2_xreal_0(sK606)
& v1_xreal_0(sK606)
& v1_xcmplx_0(sK606)
& ~ v1_xboole_0(sK606) ),
inference(definitional_conversion,[status(esa)],[f_1743_3]) ).
cnf(f_1743_5,plain,
~ v1_xboole_0(sK606),
inference(clausify,[status(thm)],[f_1743_4]) ).
cnf(f_1743_6,plain,
v1_xcmplx_0(sK606),
inference(clausify,[status(thm)],[f_1743_4]) ).
cnf(f_1743_7,plain,
v1_xreal_0(sK606),
inference(clausify,[status(thm)],[f_1743_4]) ).
cnf(f_1743_8,plain,
v2_xreal_0(sK606),
inference(clausify,[status(thm)],[f_1743_4]) ).
cnf(f_1743_9,plain,
~ v3_xreal_0(sK606),
inference(clausify,[status(thm)],[f_1743_4]) ).
fof(f_1744_1,plain,
? [A] :
( v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_xreal_0]) ).
fof(f_1744_2,plain,
? [U_4826] :
( v3_xreal_0(U_4826)
& ~ v2_xreal_0(U_4826)
& v1_xreal_0(U_4826)
& v1_xcmplx_0(U_4826)
& ~ v1_xboole_0(U_4826) ),
inference(variable_rename,[status(thm)],[f_1744_1]) ).
fof(f_1744_3,plain,
( v3_xreal_0(sK607)
& ~ v2_xreal_0(sK607)
& v1_xreal_0(sK607)
& v1_xcmplx_0(sK607)
& ~ v1_xboole_0(sK607) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK607]),skolemize(U_4826,sK607)],[f_1744_2]) ).
fof(f_1744_4,plain,
( v3_xreal_0(sK607)
& ~ v2_xreal_0(sK607)
& v1_xreal_0(sK607)
& v1_xcmplx_0(sK607)
& ~ v1_xboole_0(sK607) ),
inference(definitional_conversion,[status(esa)],[f_1744_3]) ).
cnf(f_1744_5,plain,
~ v1_xboole_0(sK607),
inference(clausify,[status(thm)],[f_1744_4]) ).
cnf(f_1744_6,plain,
v1_xcmplx_0(sK607),
inference(clausify,[status(thm)],[f_1744_4]) ).
cnf(f_1744_7,plain,
v1_xreal_0(sK607),
inference(clausify,[status(thm)],[f_1744_4]) ).
cnf(f_1744_8,plain,
~ v2_xreal_0(sK607),
inference(clausify,[status(thm)],[f_1744_4]) ).
cnf(f_1744_9,plain,
v3_xreal_0(sK607),
inference(clausify,[status(thm)],[f_1744_4]) ).
fof(f_1745_1,plain,
? [A] :
( ~ v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_xreal_0]) ).
fof(f_1745_2,plain,
? [U_4827] :
( ~ v3_xreal_0(U_4827)
& ~ v2_xreal_0(U_4827)
& v1_xreal_0(U_4827)
& v1_xcmplx_0(U_4827)
& v1_xboole_0(U_4827) ),
inference(variable_rename,[status(thm)],[f_1745_1]) ).
fof(f_1745_3,plain,
( ~ v3_xreal_0(sK608)
& ~ v2_xreal_0(sK608)
& v1_xreal_0(sK608)
& v1_xcmplx_0(sK608)
& v1_xboole_0(sK608) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK608]),skolemize(U_4827,sK608)],[f_1745_2]) ).
fof(f_1745_4,plain,
( ~ v3_xreal_0(sK608)
& ~ v2_xreal_0(sK608)
& v1_xreal_0(sK608)
& v1_xcmplx_0(sK608)
& v1_xboole_0(sK608) ),
inference(definitional_conversion,[status(esa)],[f_1745_3]) ).
cnf(f_1745_5,plain,
v1_xboole_0(sK608),
inference(clausify,[status(thm)],[f_1745_4]) ).
cnf(f_1745_6,plain,
v1_xcmplx_0(sK608),
inference(clausify,[status(thm)],[f_1745_4]) ).
cnf(f_1745_7,plain,
v1_xreal_0(sK608),
inference(clausify,[status(thm)],[f_1745_4]) ).
cnf(f_1745_8,plain,
~ v2_xreal_0(sK608),
inference(clausify,[status(thm)],[f_1745_4]) ).
cnf(f_1745_9,plain,
~ v3_xreal_0(sK608),
inference(clausify,[status(thm)],[f_1745_4]) ).
fof(f_1746_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc7_xreal_0]) ).
fof(f_1746_2,plain,
! [U_4829,U_4828] :
( ( ~ v3_xreal_0(k2_xcmplx_0(U_4829,U_4828))
& v1_xreal_0(k2_xcmplx_0(U_4829,U_4828))
& v1_xcmplx_0(k2_xcmplx_0(U_4829,U_4828)) )
| v3_xreal_0(U_4828)
| ~ v1_xreal_0(U_4828)
| v3_xreal_0(U_4829)
| ~ v1_xreal_0(U_4829) ),
inference(variable_rename,[status(thm)],[f_1746_1]) ).
fof(f_1746_3,plain,
( ! [U_4828,U_4829] :
( ~ v3_xreal_0(k2_xcmplx_0(U_4829,U_4828))
| ~ sP809(U_4828,U_4829) )
& ! [U_4828,U_4829] :
( v1_xreal_0(k2_xcmplx_0(U_4829,U_4828))
| ~ sP809(U_4828,U_4829) )
& ! [U_4828,U_4829] :
( v1_xcmplx_0(k2_xcmplx_0(U_4829,U_4828))
| ~ sP809(U_4828,U_4829) )
& ! [U_4828,U_4829] :
( sP809(U_4828,U_4829)
| v3_xreal_0(U_4828)
| ~ v1_xreal_0(U_4828)
| v3_xreal_0(U_4829)
| ~ v1_xreal_0(U_4829) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP809])],[f_1746_2]) ).
cnf(f_1746_4,plain,
( sP809(U_4828,U_4829)
| v3_xreal_0(U_4828)
| ~ v1_xreal_0(U_4828)
| v3_xreal_0(U_4829)
| ~ v1_xreal_0(U_4829) ),
inference(clausify,[status(thm)],[f_1746_3]) ).
cnf(f_1746_5,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4829,U_4828))
| ~ sP809(U_4828,U_4829) ),
inference(clausify,[status(thm)],[f_1746_3]) ).
cnf(f_1746_6,plain,
( v1_xreal_0(k2_xcmplx_0(U_4829,U_4828))
| ~ sP809(U_4828,U_4829) ),
inference(clausify,[status(thm)],[f_1746_3]) ).
cnf(f_1746_7,plain,
( ~ v3_xreal_0(k2_xcmplx_0(U_4829,U_4828))
| ~ sP809(U_4828,U_4829) ),
inference(clausify,[status(thm)],[f_1746_3]) ).
fof(f_1747_1,plain,
! [A,B] :
( ( ~ v2_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc8_xreal_0]) ).
fof(f_1747_2,plain,
! [U_4831,U_4830] :
( ( ~ v2_xreal_0(k2_xcmplx_0(U_4831,U_4830))
& v1_xreal_0(k2_xcmplx_0(U_4831,U_4830))
& v1_xcmplx_0(k2_xcmplx_0(U_4831,U_4830)) )
| v2_xreal_0(U_4830)
| ~ v1_xreal_0(U_4830)
| v2_xreal_0(U_4831)
| ~ v1_xreal_0(U_4831) ),
inference(variable_rename,[status(thm)],[f_1747_1]) ).
fof(f_1747_3,plain,
( ! [U_4831,U_4830] :
( ~ v2_xreal_0(k2_xcmplx_0(U_4831,U_4830))
| ~ sP810(U_4831,U_4830) )
& ! [U_4831,U_4830] :
( v1_xreal_0(k2_xcmplx_0(U_4831,U_4830))
| ~ sP810(U_4831,U_4830) )
& ! [U_4831,U_4830] :
( v1_xcmplx_0(k2_xcmplx_0(U_4831,U_4830))
| ~ sP810(U_4831,U_4830) )
& ! [U_4831,U_4830] :
( sP810(U_4831,U_4830)
| v2_xreal_0(U_4830)
| ~ v1_xreal_0(U_4830)
| v2_xreal_0(U_4831)
| ~ v1_xreal_0(U_4831) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP810])],[f_1747_2]) ).
cnf(f_1747_4,plain,
( sP810(U_4831,U_4830)
| v2_xreal_0(U_4830)
| ~ v1_xreal_0(U_4830)
| v2_xreal_0(U_4831)
| ~ v1_xreal_0(U_4831) ),
inference(clausify,[status(thm)],[f_1747_3]) ).
cnf(f_1747_5,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4831,U_4830))
| ~ sP810(U_4831,U_4830) ),
inference(clausify,[status(thm)],[f_1747_3]) ).
cnf(f_1747_6,plain,
( v1_xreal_0(k2_xcmplx_0(U_4831,U_4830))
| ~ sP810(U_4831,U_4830) ),
inference(clausify,[status(thm)],[f_1747_3]) ).
cnf(f_1747_7,plain,
( ~ v2_xreal_0(k2_xcmplx_0(U_4831,U_4830))
| ~ sP810(U_4831,U_4830) ),
inference(clausify,[status(thm)],[f_1747_3]) ).
fof(f_1748_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k2_xcmplx_0(A,B))
& v2_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B))
& ~ v1_xboole_0(k2_xcmplx_0(A,B)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc9_xreal_0]) ).
fof(f_1748_2,plain,
! [U_4833,U_4832] :
( ( ~ v3_xreal_0(k2_xcmplx_0(U_4833,U_4832))
& v2_xreal_0(k2_xcmplx_0(U_4833,U_4832))
& v1_xreal_0(k2_xcmplx_0(U_4833,U_4832))
& v1_xcmplx_0(k2_xcmplx_0(U_4833,U_4832))
& ~ v1_xboole_0(k2_xcmplx_0(U_4833,U_4832)) )
| v3_xreal_0(U_4832)
| ~ v1_xreal_0(U_4832)
| ~ v2_xreal_0(U_4833)
| ~ v1_xreal_0(U_4833) ),
inference(variable_rename,[status(thm)],[f_1748_1]) ).
fof(f_1748_3,plain,
( ! [U_4833,U_4832] :
( ~ v3_xreal_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) )
& ! [U_4833,U_4832] :
( v2_xreal_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) )
& ! [U_4833,U_4832] :
( v1_xreal_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) )
& ! [U_4833,U_4832] :
( v1_xcmplx_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) )
& ! [U_4833,U_4832] :
( ~ v1_xboole_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) )
& ! [U_4833,U_4832] :
( sP811(U_4833,U_4832)
| v3_xreal_0(U_4832)
| ~ v1_xreal_0(U_4832)
| ~ v2_xreal_0(U_4833)
| ~ v1_xreal_0(U_4833) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP811])],[f_1748_2]) ).
cnf(f_1748_4,plain,
( sP811(U_4833,U_4832)
| v3_xreal_0(U_4832)
| ~ v1_xreal_0(U_4832)
| ~ v2_xreal_0(U_4833)
| ~ v1_xreal_0(U_4833) ),
inference(clausify,[status(thm)],[f_1748_3]) ).
cnf(f_1748_5,plain,
( ~ v1_xboole_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) ),
inference(clausify,[status(thm)],[f_1748_3]) ).
cnf(f_1748_6,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) ),
inference(clausify,[status(thm)],[f_1748_3]) ).
cnf(f_1748_7,plain,
( v1_xreal_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) ),
inference(clausify,[status(thm)],[f_1748_3]) ).
cnf(f_1748_8,plain,
( v2_xreal_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) ),
inference(clausify,[status(thm)],[f_1748_3]) ).
cnf(f_1748_9,plain,
( ~ v3_xreal_0(k2_xcmplx_0(U_4833,U_4832))
| ~ sP811(U_4833,U_4832) ),
inference(clausify,[status(thm)],[f_1748_3]) ).
fof(f_1749_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k2_xcmplx_0(B,A))
& v2_xreal_0(k2_xcmplx_0(B,A))
& v1_xreal_0(k2_xcmplx_0(B,A))
& v1_xcmplx_0(k2_xcmplx_0(B,A))
& ~ v1_xboole_0(k2_xcmplx_0(B,A)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc10_xreal_0]) ).
fof(f_1749_2,plain,
! [U_4835,U_4834] :
( ( ~ v3_xreal_0(k2_xcmplx_0(U_4834,U_4835))
& v2_xreal_0(k2_xcmplx_0(U_4834,U_4835))
& v1_xreal_0(k2_xcmplx_0(U_4834,U_4835))
& v1_xcmplx_0(k2_xcmplx_0(U_4834,U_4835))
& ~ v1_xboole_0(k2_xcmplx_0(U_4834,U_4835)) )
| v3_xreal_0(U_4834)
| ~ v1_xreal_0(U_4834)
| ~ v2_xreal_0(U_4835)
| ~ v1_xreal_0(U_4835) ),
inference(variable_rename,[status(thm)],[f_1749_1]) ).
fof(f_1749_3,plain,
( ! [U_4835,U_4834] :
( ~ v3_xreal_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) )
& ! [U_4835,U_4834] :
( v2_xreal_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) )
& ! [U_4835,U_4834] :
( v1_xreal_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) )
& ! [U_4835,U_4834] :
( v1_xcmplx_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) )
& ! [U_4835,U_4834] :
( ~ v1_xboole_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) )
& ! [U_4835,U_4834] :
( sP812(U_4835,U_4834)
| v3_xreal_0(U_4834)
| ~ v1_xreal_0(U_4834)
| ~ v2_xreal_0(U_4835)
| ~ v1_xreal_0(U_4835) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP812])],[f_1749_2]) ).
cnf(f_1749_4,plain,
( sP812(U_4835,U_4834)
| v3_xreal_0(U_4834)
| ~ v1_xreal_0(U_4834)
| ~ v2_xreal_0(U_4835)
| ~ v1_xreal_0(U_4835) ),
inference(clausify,[status(thm)],[f_1749_3]) ).
cnf(f_1749_5,plain,
( ~ v1_xboole_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) ),
inference(clausify,[status(thm)],[f_1749_3]) ).
cnf(f_1749_6,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) ),
inference(clausify,[status(thm)],[f_1749_3]) ).
cnf(f_1749_7,plain,
( v1_xreal_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) ),
inference(clausify,[status(thm)],[f_1749_3]) ).
cnf(f_1749_8,plain,
( v2_xreal_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) ),
inference(clausify,[status(thm)],[f_1749_3]) ).
cnf(f_1749_9,plain,
( ~ v3_xreal_0(k2_xcmplx_0(U_4834,U_4835))
| ~ sP812(U_4835,U_4834) ),
inference(clausify,[status(thm)],[f_1749_3]) ).
fof(f_1750_1,plain,
! [A,B] :
( ( v3_xreal_0(k2_xcmplx_0(A,B))
& ~ v2_xreal_0(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B))
& ~ v1_xboole_0(k2_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc11_xreal_0]) ).
fof(f_1750_2,plain,
! [U_4837,U_4836] :
( ( v3_xreal_0(k2_xcmplx_0(U_4837,U_4836))
& ~ v2_xreal_0(k2_xcmplx_0(U_4837,U_4836))
& v1_xreal_0(k2_xcmplx_0(U_4837,U_4836))
& v1_xcmplx_0(k2_xcmplx_0(U_4837,U_4836))
& ~ v1_xboole_0(k2_xcmplx_0(U_4837,U_4836)) )
| v2_xreal_0(U_4836)
| ~ v1_xreal_0(U_4836)
| ~ v3_xreal_0(U_4837)
| ~ v1_xreal_0(U_4837) ),
inference(variable_rename,[status(thm)],[f_1750_1]) ).
fof(f_1750_3,plain,
( ! [U_4836,U_4837] :
( v3_xreal_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) )
& ! [U_4836,U_4837] :
( ~ v2_xreal_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) )
& ! [U_4836,U_4837] :
( v1_xreal_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) )
& ! [U_4836,U_4837] :
( v1_xcmplx_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) )
& ! [U_4836,U_4837] :
( ~ v1_xboole_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) )
& ! [U_4836,U_4837] :
( sP813(U_4836,U_4837)
| v2_xreal_0(U_4836)
| ~ v1_xreal_0(U_4836)
| ~ v3_xreal_0(U_4837)
| ~ v1_xreal_0(U_4837) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP813])],[f_1750_2]) ).
cnf(f_1750_4,plain,
( sP813(U_4836,U_4837)
| v2_xreal_0(U_4836)
| ~ v1_xreal_0(U_4836)
| ~ v3_xreal_0(U_4837)
| ~ v1_xreal_0(U_4837) ),
inference(clausify,[status(thm)],[f_1750_3]) ).
cnf(f_1750_5,plain,
( ~ v1_xboole_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) ),
inference(clausify,[status(thm)],[f_1750_3]) ).
cnf(f_1750_6,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) ),
inference(clausify,[status(thm)],[f_1750_3]) ).
cnf(f_1750_7,plain,
( v1_xreal_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) ),
inference(clausify,[status(thm)],[f_1750_3]) ).
cnf(f_1750_8,plain,
( ~ v2_xreal_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) ),
inference(clausify,[status(thm)],[f_1750_3]) ).
cnf(f_1750_9,plain,
( v3_xreal_0(k2_xcmplx_0(U_4837,U_4836))
| ~ sP813(U_4836,U_4837) ),
inference(clausify,[status(thm)],[f_1750_3]) ).
fof(f_1751_1,plain,
! [A,B] :
( ( v3_xreal_0(k2_xcmplx_0(B,A))
& ~ v2_xreal_0(k2_xcmplx_0(B,A))
& v1_xreal_0(k2_xcmplx_0(B,A))
& v1_xcmplx_0(k2_xcmplx_0(B,A))
& ~ v1_xboole_0(k2_xcmplx_0(B,A)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc12_xreal_0]) ).
fof(f_1751_2,plain,
! [U_4839,U_4838] :
( ( v3_xreal_0(k2_xcmplx_0(U_4838,U_4839))
& ~ v2_xreal_0(k2_xcmplx_0(U_4838,U_4839))
& v1_xreal_0(k2_xcmplx_0(U_4838,U_4839))
& v1_xcmplx_0(k2_xcmplx_0(U_4838,U_4839))
& ~ v1_xboole_0(k2_xcmplx_0(U_4838,U_4839)) )
| v2_xreal_0(U_4838)
| ~ v1_xreal_0(U_4838)
| ~ v3_xreal_0(U_4839)
| ~ v1_xreal_0(U_4839) ),
inference(variable_rename,[status(thm)],[f_1751_1]) ).
fof(f_1751_3,plain,
( ! [U_4838,U_4839] :
( v3_xreal_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) )
& ! [U_4838,U_4839] :
( ~ v2_xreal_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) )
& ! [U_4838,U_4839] :
( v1_xreal_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) )
& ! [U_4838,U_4839] :
( v1_xcmplx_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) )
& ! [U_4838,U_4839] :
( ~ v1_xboole_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) )
& ! [U_4838,U_4839] :
( sP814(U_4838,U_4839)
| v2_xreal_0(U_4838)
| ~ v1_xreal_0(U_4838)
| ~ v3_xreal_0(U_4839)
| ~ v1_xreal_0(U_4839) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP814])],[f_1751_2]) ).
cnf(f_1751_4,plain,
( sP814(U_4838,U_4839)
| v2_xreal_0(U_4838)
| ~ v1_xreal_0(U_4838)
| ~ v3_xreal_0(U_4839)
| ~ v1_xreal_0(U_4839) ),
inference(clausify,[status(thm)],[f_1751_3]) ).
cnf(f_1751_5,plain,
( ~ v1_xboole_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) ),
inference(clausify,[status(thm)],[f_1751_3]) ).
cnf(f_1751_6,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) ),
inference(clausify,[status(thm)],[f_1751_3]) ).
cnf(f_1751_7,plain,
( v1_xreal_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) ),
inference(clausify,[status(thm)],[f_1751_3]) ).
cnf(f_1751_8,plain,
( ~ v2_xreal_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) ),
inference(clausify,[status(thm)],[f_1751_3]) ).
cnf(f_1751_9,plain,
( v3_xreal_0(k2_xcmplx_0(U_4838,U_4839))
| ~ sP814(U_4838,U_4839) ),
inference(clausify,[status(thm)],[f_1751_3]) ).
fof(f_1752_1,plain,
! [A] :
( ( ~ v3_xreal_0(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) )
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc13_xreal_0]) ).
fof(f_1752_2,plain,
! [U_4840] :
( ( ~ v3_xreal_0(k4_xcmplx_0(U_4840))
& v1_xreal_0(k4_xcmplx_0(U_4840))
& v1_xcmplx_0(k4_xcmplx_0(U_4840)) )
| v2_xreal_0(U_4840)
| ~ v1_xreal_0(U_4840) ),
inference(variable_rename,[status(thm)],[f_1752_1]) ).
fof(f_1752_3,plain,
( ! [U_4840] :
( ~ v3_xreal_0(k4_xcmplx_0(U_4840))
| ~ sP815(U_4840) )
& ! [U_4840] :
( v1_xreal_0(k4_xcmplx_0(U_4840))
| ~ sP815(U_4840) )
& ! [U_4840] :
( v1_xcmplx_0(k4_xcmplx_0(U_4840))
| ~ sP815(U_4840) )
& ! [U_4840] :
( sP815(U_4840)
| v2_xreal_0(U_4840)
| ~ v1_xreal_0(U_4840) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP815])],[f_1752_2]) ).
cnf(f_1752_4,plain,
( sP815(U_4840)
| v2_xreal_0(U_4840)
| ~ v1_xreal_0(U_4840) ),
inference(clausify,[status(thm)],[f_1752_3]) ).
cnf(f_1752_5,plain,
( v1_xcmplx_0(k4_xcmplx_0(U_4840))
| ~ sP815(U_4840) ),
inference(clausify,[status(thm)],[f_1752_3]) ).
cnf(f_1752_6,plain,
( v1_xreal_0(k4_xcmplx_0(U_4840))
| ~ sP815(U_4840) ),
inference(clausify,[status(thm)],[f_1752_3]) ).
cnf(f_1752_7,plain,
( ~ v3_xreal_0(k4_xcmplx_0(U_4840))
| ~ sP815(U_4840) ),
inference(clausify,[status(thm)],[f_1752_3]) ).
fof(f_1753_1,plain,
! [A] :
( ( ~ v2_xreal_0(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) )
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc14_xreal_0]) ).
fof(f_1753_2,plain,
! [U_4841] :
( ( ~ v2_xreal_0(k4_xcmplx_0(U_4841))
& v1_xreal_0(k4_xcmplx_0(U_4841))
& v1_xcmplx_0(k4_xcmplx_0(U_4841)) )
| v3_xreal_0(U_4841)
| ~ v1_xreal_0(U_4841) ),
inference(variable_rename,[status(thm)],[f_1753_1]) ).
fof(f_1753_3,plain,
( ! [U_4841] :
( ~ v2_xreal_0(k4_xcmplx_0(U_4841))
| ~ sP816(U_4841) )
& ! [U_4841] :
( v1_xreal_0(k4_xcmplx_0(U_4841))
| ~ sP816(U_4841) )
& ! [U_4841] :
( v1_xcmplx_0(k4_xcmplx_0(U_4841))
| ~ sP816(U_4841) )
& ! [U_4841] :
( sP816(U_4841)
| v3_xreal_0(U_4841)
| ~ v1_xreal_0(U_4841) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP816])],[f_1753_2]) ).
cnf(f_1753_4,plain,
( sP816(U_4841)
| v3_xreal_0(U_4841)
| ~ v1_xreal_0(U_4841) ),
inference(clausify,[status(thm)],[f_1753_3]) ).
cnf(f_1753_5,plain,
( v1_xcmplx_0(k4_xcmplx_0(U_4841))
| ~ sP816(U_4841) ),
inference(clausify,[status(thm)],[f_1753_3]) ).
cnf(f_1753_6,plain,
( v1_xreal_0(k4_xcmplx_0(U_4841))
| ~ sP816(U_4841) ),
inference(clausify,[status(thm)],[f_1753_3]) ).
cnf(f_1753_7,plain,
( ~ v2_xreal_0(k4_xcmplx_0(U_4841))
| ~ sP816(U_4841) ),
inference(clausify,[status(thm)],[f_1753_3]) ).
fof(f_1754_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc15_xreal_0]) ).
fof(f_1754_2,plain,
! [U_4843,U_4842] :
( ( ~ v3_xreal_0(k6_xcmplx_0(U_4843,U_4842))
& v1_xreal_0(k6_xcmplx_0(U_4843,U_4842))
& v1_xcmplx_0(k6_xcmplx_0(U_4843,U_4842)) )
| v2_xreal_0(U_4842)
| ~ v1_xreal_0(U_4842)
| v3_xreal_0(U_4843)
| ~ v1_xreal_0(U_4843) ),
inference(variable_rename,[status(thm)],[f_1754_1]) ).
fof(f_1754_3,plain,
( ! [U_4842,U_4843] :
( ~ v3_xreal_0(k6_xcmplx_0(U_4843,U_4842))
| ~ sP817(U_4842,U_4843) )
& ! [U_4842,U_4843] :
( v1_xreal_0(k6_xcmplx_0(U_4843,U_4842))
| ~ sP817(U_4842,U_4843) )
& ! [U_4842,U_4843] :
( v1_xcmplx_0(k6_xcmplx_0(U_4843,U_4842))
| ~ sP817(U_4842,U_4843) )
& ! [U_4842,U_4843] :
( sP817(U_4842,U_4843)
| v2_xreal_0(U_4842)
| ~ v1_xreal_0(U_4842)
| v3_xreal_0(U_4843)
| ~ v1_xreal_0(U_4843) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP817])],[f_1754_2]) ).
cnf(f_1754_4,plain,
( sP817(U_4842,U_4843)
| v2_xreal_0(U_4842)
| ~ v1_xreal_0(U_4842)
| v3_xreal_0(U_4843)
| ~ v1_xreal_0(U_4843) ),
inference(clausify,[status(thm)],[f_1754_3]) ).
cnf(f_1754_5,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4843,U_4842))
| ~ sP817(U_4842,U_4843) ),
inference(clausify,[status(thm)],[f_1754_3]) ).
cnf(f_1754_6,plain,
( v1_xreal_0(k6_xcmplx_0(U_4843,U_4842))
| ~ sP817(U_4842,U_4843) ),
inference(clausify,[status(thm)],[f_1754_3]) ).
cnf(f_1754_7,plain,
( ~ v3_xreal_0(k6_xcmplx_0(U_4843,U_4842))
| ~ sP817(U_4842,U_4843) ),
inference(clausify,[status(thm)],[f_1754_3]) ).
fof(f_1755_1,plain,
! [A,B] :
( ( ~ v2_xreal_0(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc16_xreal_0]) ).
fof(f_1755_2,plain,
! [U_4845,U_4844] :
( ( ~ v2_xreal_0(k6_xcmplx_0(U_4844,U_4845))
& v1_xreal_0(k6_xcmplx_0(U_4844,U_4845))
& v1_xcmplx_0(k6_xcmplx_0(U_4844,U_4845)) )
| v2_xreal_0(U_4844)
| ~ v1_xreal_0(U_4844)
| v3_xreal_0(U_4845)
| ~ v1_xreal_0(U_4845) ),
inference(variable_rename,[status(thm)],[f_1755_1]) ).
fof(f_1755_3,plain,
( ! [U_4845,U_4844] :
( ~ v2_xreal_0(k6_xcmplx_0(U_4844,U_4845))
| ~ sP818(U_4845,U_4844) )
& ! [U_4845,U_4844] :
( v1_xreal_0(k6_xcmplx_0(U_4844,U_4845))
| ~ sP818(U_4845,U_4844) )
& ! [U_4845,U_4844] :
( v1_xcmplx_0(k6_xcmplx_0(U_4844,U_4845))
| ~ sP818(U_4845,U_4844) )
& ! [U_4845,U_4844] :
( sP818(U_4845,U_4844)
| v2_xreal_0(U_4844)
| ~ v1_xreal_0(U_4844)
| v3_xreal_0(U_4845)
| ~ v1_xreal_0(U_4845) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP818])],[f_1755_2]) ).
cnf(f_1755_4,plain,
( sP818(U_4845,U_4844)
| v2_xreal_0(U_4844)
| ~ v1_xreal_0(U_4844)
| v3_xreal_0(U_4845)
| ~ v1_xreal_0(U_4845) ),
inference(clausify,[status(thm)],[f_1755_3]) ).
cnf(f_1755_5,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4844,U_4845))
| ~ sP818(U_4845,U_4844) ),
inference(clausify,[status(thm)],[f_1755_3]) ).
cnf(f_1755_6,plain,
( v1_xreal_0(k6_xcmplx_0(U_4844,U_4845))
| ~ sP818(U_4845,U_4844) ),
inference(clausify,[status(thm)],[f_1755_3]) ).
cnf(f_1755_7,plain,
( ~ v2_xreal_0(k6_xcmplx_0(U_4844,U_4845))
| ~ sP818(U_4845,U_4844) ),
inference(clausify,[status(thm)],[f_1755_3]) ).
fof(f_1756_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k6_xcmplx_0(A,B))
& v2_xreal_0(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B))
& ~ v1_xboole_0(k6_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc17_xreal_0]) ).
fof(f_1756_2,plain,
! [U_4847,U_4846] :
( ( ~ v3_xreal_0(k6_xcmplx_0(U_4847,U_4846))
& v2_xreal_0(k6_xcmplx_0(U_4847,U_4846))
& v1_xreal_0(k6_xcmplx_0(U_4847,U_4846))
& v1_xcmplx_0(k6_xcmplx_0(U_4847,U_4846))
& ~ v1_xboole_0(k6_xcmplx_0(U_4847,U_4846)) )
| v2_xreal_0(U_4846)
| ~ v1_xreal_0(U_4846)
| ~ v2_xreal_0(U_4847)
| ~ v1_xreal_0(U_4847) ),
inference(variable_rename,[status(thm)],[f_1756_1]) ).
fof(f_1756_3,plain,
( ! [U_4847,U_4846] :
( ~ v3_xreal_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) )
& ! [U_4847,U_4846] :
( v2_xreal_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) )
& ! [U_4847,U_4846] :
( v1_xreal_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) )
& ! [U_4847,U_4846] :
( v1_xcmplx_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) )
& ! [U_4847,U_4846] :
( ~ v1_xboole_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) )
& ! [U_4847,U_4846] :
( sP819(U_4847,U_4846)
| v2_xreal_0(U_4846)
| ~ v1_xreal_0(U_4846)
| ~ v2_xreal_0(U_4847)
| ~ v1_xreal_0(U_4847) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP819])],[f_1756_2]) ).
cnf(f_1756_4,plain,
( sP819(U_4847,U_4846)
| v2_xreal_0(U_4846)
| ~ v1_xreal_0(U_4846)
| ~ v2_xreal_0(U_4847)
| ~ v1_xreal_0(U_4847) ),
inference(clausify,[status(thm)],[f_1756_3]) ).
cnf(f_1756_5,plain,
( ~ v1_xboole_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) ),
inference(clausify,[status(thm)],[f_1756_3]) ).
cnf(f_1756_6,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) ),
inference(clausify,[status(thm)],[f_1756_3]) ).
cnf(f_1756_7,plain,
( v1_xreal_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) ),
inference(clausify,[status(thm)],[f_1756_3]) ).
cnf(f_1756_8,plain,
( v2_xreal_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) ),
inference(clausify,[status(thm)],[f_1756_3]) ).
cnf(f_1756_9,plain,
( ~ v3_xreal_0(k6_xcmplx_0(U_4847,U_4846))
| ~ sP819(U_4847,U_4846) ),
inference(clausify,[status(thm)],[f_1756_3]) ).
fof(f_1757_1,plain,
! [A,B] :
( ( v3_xreal_0(k6_xcmplx_0(B,A))
& ~ v2_xreal_0(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A))
& ~ v1_xboole_0(k6_xcmplx_0(B,A)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc18_xreal_0]) ).
fof(f_1757_2,plain,
! [U_4849,U_4848] :
( ( v3_xreal_0(k6_xcmplx_0(U_4848,U_4849))
& ~ v2_xreal_0(k6_xcmplx_0(U_4848,U_4849))
& v1_xreal_0(k6_xcmplx_0(U_4848,U_4849))
& v1_xcmplx_0(k6_xcmplx_0(U_4848,U_4849))
& ~ v1_xboole_0(k6_xcmplx_0(U_4848,U_4849)) )
| v2_xreal_0(U_4848)
| ~ v1_xreal_0(U_4848)
| ~ v2_xreal_0(U_4849)
| ~ v1_xreal_0(U_4849) ),
inference(variable_rename,[status(thm)],[f_1757_1]) ).
fof(f_1757_3,plain,
( ! [U_4848,U_4849] :
( v3_xreal_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) )
& ! [U_4848,U_4849] :
( ~ v2_xreal_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) )
& ! [U_4848,U_4849] :
( v1_xreal_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) )
& ! [U_4848,U_4849] :
( v1_xcmplx_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) )
& ! [U_4848,U_4849] :
( ~ v1_xboole_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) )
& ! [U_4848,U_4849] :
( sP820(U_4848,U_4849)
| v2_xreal_0(U_4848)
| ~ v1_xreal_0(U_4848)
| ~ v2_xreal_0(U_4849)
| ~ v1_xreal_0(U_4849) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP820])],[f_1757_2]) ).
cnf(f_1757_4,plain,
( sP820(U_4848,U_4849)
| v2_xreal_0(U_4848)
| ~ v1_xreal_0(U_4848)
| ~ v2_xreal_0(U_4849)
| ~ v1_xreal_0(U_4849) ),
inference(clausify,[status(thm)],[f_1757_3]) ).
cnf(f_1757_5,plain,
( ~ v1_xboole_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) ),
inference(clausify,[status(thm)],[f_1757_3]) ).
cnf(f_1757_6,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) ),
inference(clausify,[status(thm)],[f_1757_3]) ).
cnf(f_1757_7,plain,
( v1_xreal_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) ),
inference(clausify,[status(thm)],[f_1757_3]) ).
cnf(f_1757_8,plain,
( ~ v2_xreal_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) ),
inference(clausify,[status(thm)],[f_1757_3]) ).
cnf(f_1757_9,plain,
( v3_xreal_0(k6_xcmplx_0(U_4848,U_4849))
| ~ sP820(U_4848,U_4849) ),
inference(clausify,[status(thm)],[f_1757_3]) ).
fof(f_1758_1,plain,
! [A,B] :
( ( v3_xreal_0(k6_xcmplx_0(A,B))
& ~ v2_xreal_0(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B))
& ~ v1_xboole_0(k6_xcmplx_0(A,B)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc19_xreal_0]) ).
fof(f_1758_2,plain,
! [U_4851,U_4850] :
( ( v3_xreal_0(k6_xcmplx_0(U_4851,U_4850))
& ~ v2_xreal_0(k6_xcmplx_0(U_4851,U_4850))
& v1_xreal_0(k6_xcmplx_0(U_4851,U_4850))
& v1_xcmplx_0(k6_xcmplx_0(U_4851,U_4850))
& ~ v1_xboole_0(k6_xcmplx_0(U_4851,U_4850)) )
| v3_xreal_0(U_4850)
| ~ v1_xreal_0(U_4850)
| ~ v3_xreal_0(U_4851)
| ~ v1_xreal_0(U_4851) ),
inference(variable_rename,[status(thm)],[f_1758_1]) ).
fof(f_1758_3,plain,
( ! [U_4850,U_4851] :
( v3_xreal_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) )
& ! [U_4850,U_4851] :
( ~ v2_xreal_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) )
& ! [U_4850,U_4851] :
( v1_xreal_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) )
& ! [U_4850,U_4851] :
( v1_xcmplx_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) )
& ! [U_4850,U_4851] :
( ~ v1_xboole_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) )
& ! [U_4850,U_4851] :
( sP821(U_4850,U_4851)
| v3_xreal_0(U_4850)
| ~ v1_xreal_0(U_4850)
| ~ v3_xreal_0(U_4851)
| ~ v1_xreal_0(U_4851) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP821])],[f_1758_2]) ).
cnf(f_1758_4,plain,
( sP821(U_4850,U_4851)
| v3_xreal_0(U_4850)
| ~ v1_xreal_0(U_4850)
| ~ v3_xreal_0(U_4851)
| ~ v1_xreal_0(U_4851) ),
inference(clausify,[status(thm)],[f_1758_3]) ).
cnf(f_1758_5,plain,
( ~ v1_xboole_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) ),
inference(clausify,[status(thm)],[f_1758_3]) ).
cnf(f_1758_6,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) ),
inference(clausify,[status(thm)],[f_1758_3]) ).
cnf(f_1758_7,plain,
( v1_xreal_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) ),
inference(clausify,[status(thm)],[f_1758_3]) ).
cnf(f_1758_8,plain,
( ~ v2_xreal_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) ),
inference(clausify,[status(thm)],[f_1758_3]) ).
cnf(f_1758_9,plain,
( v3_xreal_0(k6_xcmplx_0(U_4851,U_4850))
| ~ sP821(U_4850,U_4851) ),
inference(clausify,[status(thm)],[f_1758_3]) ).
fof(f_1759_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k6_xcmplx_0(B,A))
& v2_xreal_0(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A))
& ~ v1_xboole_0(k6_xcmplx_0(B,A)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| ~ v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc20_xreal_0]) ).
fof(f_1759_2,plain,
! [U_4853,U_4852] :
( ( ~ v3_xreal_0(k6_xcmplx_0(U_4852,U_4853))
& v2_xreal_0(k6_xcmplx_0(U_4852,U_4853))
& v1_xreal_0(k6_xcmplx_0(U_4852,U_4853))
& v1_xcmplx_0(k6_xcmplx_0(U_4852,U_4853))
& ~ v1_xboole_0(k6_xcmplx_0(U_4852,U_4853)) )
| v3_xreal_0(U_4852)
| ~ v1_xreal_0(U_4852)
| ~ v3_xreal_0(U_4853)
| ~ v1_xreal_0(U_4853) ),
inference(variable_rename,[status(thm)],[f_1759_1]) ).
fof(f_1759_3,plain,
( ! [U_4852,U_4853] :
( ~ v3_xreal_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) )
& ! [U_4852,U_4853] :
( v2_xreal_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) )
& ! [U_4852,U_4853] :
( v1_xreal_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) )
& ! [U_4852,U_4853] :
( v1_xcmplx_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) )
& ! [U_4852,U_4853] :
( ~ v1_xboole_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) )
& ! [U_4852,U_4853] :
( sP822(U_4852,U_4853)
| v3_xreal_0(U_4852)
| ~ v1_xreal_0(U_4852)
| ~ v3_xreal_0(U_4853)
| ~ v1_xreal_0(U_4853) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP822])],[f_1759_2]) ).
cnf(f_1759_4,plain,
( sP822(U_4852,U_4853)
| v3_xreal_0(U_4852)
| ~ v1_xreal_0(U_4852)
| ~ v3_xreal_0(U_4853)
| ~ v1_xreal_0(U_4853) ),
inference(clausify,[status(thm)],[f_1759_3]) ).
cnf(f_1759_5,plain,
( ~ v1_xboole_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) ),
inference(clausify,[status(thm)],[f_1759_3]) ).
cnf(f_1759_6,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) ),
inference(clausify,[status(thm)],[f_1759_3]) ).
cnf(f_1759_7,plain,
( v1_xreal_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) ),
inference(clausify,[status(thm)],[f_1759_3]) ).
cnf(f_1759_8,plain,
( v2_xreal_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) ),
inference(clausify,[status(thm)],[f_1759_3]) ).
cnf(f_1759_9,plain,
( ~ v3_xreal_0(k6_xcmplx_0(U_4852,U_4853))
| ~ sP822(U_4852,U_4853) ),
inference(clausify,[status(thm)],[f_1759_3]) ).
fof(f_1760_1,plain,
! [A,B] :
( ( ~ v2_xreal_0(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc21_xreal_0]) ).
fof(f_1760_2,plain,
! [U_4855,U_4854] :
( ( ~ v2_xreal_0(k3_xcmplx_0(U_4855,U_4854))
& v1_xreal_0(k3_xcmplx_0(U_4855,U_4854))
& v1_xcmplx_0(k3_xcmplx_0(U_4855,U_4854)) )
| v3_xreal_0(U_4854)
| ~ v1_xreal_0(U_4854)
| v2_xreal_0(U_4855)
| ~ v1_xreal_0(U_4855) ),
inference(variable_rename,[status(thm)],[f_1760_1]) ).
fof(f_1760_3,plain,
( ! [U_4855,U_4854] :
( ~ v2_xreal_0(k3_xcmplx_0(U_4855,U_4854))
| ~ sP823(U_4855,U_4854) )
& ! [U_4855,U_4854] :
( v1_xreal_0(k3_xcmplx_0(U_4855,U_4854))
| ~ sP823(U_4855,U_4854) )
& ! [U_4855,U_4854] :
( v1_xcmplx_0(k3_xcmplx_0(U_4855,U_4854))
| ~ sP823(U_4855,U_4854) )
& ! [U_4855,U_4854] :
( sP823(U_4855,U_4854)
| v3_xreal_0(U_4854)
| ~ v1_xreal_0(U_4854)
| v2_xreal_0(U_4855)
| ~ v1_xreal_0(U_4855) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP823])],[f_1760_2]) ).
cnf(f_1760_4,plain,
( sP823(U_4855,U_4854)
| v3_xreal_0(U_4854)
| ~ v1_xreal_0(U_4854)
| v2_xreal_0(U_4855)
| ~ v1_xreal_0(U_4855) ),
inference(clausify,[status(thm)],[f_1760_3]) ).
cnf(f_1760_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4855,U_4854))
| ~ sP823(U_4855,U_4854) ),
inference(clausify,[status(thm)],[f_1760_3]) ).
cnf(f_1760_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4855,U_4854))
| ~ sP823(U_4855,U_4854) ),
inference(clausify,[status(thm)],[f_1760_3]) ).
cnf(f_1760_7,plain,
( ~ v2_xreal_0(k3_xcmplx_0(U_4855,U_4854))
| ~ sP823(U_4855,U_4854) ),
inference(clausify,[status(thm)],[f_1760_3]) ).
fof(f_1761_1,plain,
! [A,B] :
( ( ~ v2_xreal_0(k3_xcmplx_0(B,A))
& v1_xreal_0(k3_xcmplx_0(B,A))
& v1_xcmplx_0(k3_xcmplx_0(B,A)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc22_xreal_0]) ).
fof(f_1761_2,plain,
! [U_4857,U_4856] :
( ( ~ v2_xreal_0(k3_xcmplx_0(U_4856,U_4857))
& v1_xreal_0(k3_xcmplx_0(U_4856,U_4857))
& v1_xcmplx_0(k3_xcmplx_0(U_4856,U_4857)) )
| v3_xreal_0(U_4856)
| ~ v1_xreal_0(U_4856)
| v2_xreal_0(U_4857)
| ~ v1_xreal_0(U_4857) ),
inference(variable_rename,[status(thm)],[f_1761_1]) ).
fof(f_1761_3,plain,
( ! [U_4856,U_4857] :
( ~ v2_xreal_0(k3_xcmplx_0(U_4856,U_4857))
| ~ sP824(U_4856,U_4857) )
& ! [U_4856,U_4857] :
( v1_xreal_0(k3_xcmplx_0(U_4856,U_4857))
| ~ sP824(U_4856,U_4857) )
& ! [U_4856,U_4857] :
( v1_xcmplx_0(k3_xcmplx_0(U_4856,U_4857))
| ~ sP824(U_4856,U_4857) )
& ! [U_4856,U_4857] :
( sP824(U_4856,U_4857)
| v3_xreal_0(U_4856)
| ~ v1_xreal_0(U_4856)
| v2_xreal_0(U_4857)
| ~ v1_xreal_0(U_4857) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP824])],[f_1761_2]) ).
cnf(f_1761_4,plain,
( sP824(U_4856,U_4857)
| v3_xreal_0(U_4856)
| ~ v1_xreal_0(U_4856)
| v2_xreal_0(U_4857)
| ~ v1_xreal_0(U_4857) ),
inference(clausify,[status(thm)],[f_1761_3]) ).
cnf(f_1761_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4856,U_4857))
| ~ sP824(U_4856,U_4857) ),
inference(clausify,[status(thm)],[f_1761_3]) ).
cnf(f_1761_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4856,U_4857))
| ~ sP824(U_4856,U_4857) ),
inference(clausify,[status(thm)],[f_1761_3]) ).
cnf(f_1761_7,plain,
( ~ v2_xreal_0(k3_xcmplx_0(U_4856,U_4857))
| ~ sP824(U_4856,U_4857) ),
inference(clausify,[status(thm)],[f_1761_3]) ).
fof(f_1762_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc23_xreal_0]) ).
fof(f_1762_2,plain,
! [U_4859,U_4858] :
( ( ~ v3_xreal_0(k3_xcmplx_0(U_4859,U_4858))
& v1_xreal_0(k3_xcmplx_0(U_4859,U_4858))
& v1_xcmplx_0(k3_xcmplx_0(U_4859,U_4858)) )
| v2_xreal_0(U_4858)
| ~ v1_xreal_0(U_4858)
| v2_xreal_0(U_4859)
| ~ v1_xreal_0(U_4859) ),
inference(variable_rename,[status(thm)],[f_1762_1]) ).
fof(f_1762_3,plain,
( ! [U_4859,U_4858] :
( ~ v3_xreal_0(k3_xcmplx_0(U_4859,U_4858))
| ~ sP825(U_4859,U_4858) )
& ! [U_4859,U_4858] :
( v1_xreal_0(k3_xcmplx_0(U_4859,U_4858))
| ~ sP825(U_4859,U_4858) )
& ! [U_4859,U_4858] :
( v1_xcmplx_0(k3_xcmplx_0(U_4859,U_4858))
| ~ sP825(U_4859,U_4858) )
& ! [U_4859,U_4858] :
( sP825(U_4859,U_4858)
| v2_xreal_0(U_4858)
| ~ v1_xreal_0(U_4858)
| v2_xreal_0(U_4859)
| ~ v1_xreal_0(U_4859) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP825])],[f_1762_2]) ).
cnf(f_1762_4,plain,
( sP825(U_4859,U_4858)
| v2_xreal_0(U_4858)
| ~ v1_xreal_0(U_4858)
| v2_xreal_0(U_4859)
| ~ v1_xreal_0(U_4859) ),
inference(clausify,[status(thm)],[f_1762_3]) ).
cnf(f_1762_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4859,U_4858))
| ~ sP825(U_4859,U_4858) ),
inference(clausify,[status(thm)],[f_1762_3]) ).
cnf(f_1762_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4859,U_4858))
| ~ sP825(U_4859,U_4858) ),
inference(clausify,[status(thm)],[f_1762_3]) ).
cnf(f_1762_7,plain,
( ~ v3_xreal_0(k3_xcmplx_0(U_4859,U_4858))
| ~ sP825(U_4859,U_4858) ),
inference(clausify,[status(thm)],[f_1762_3]) ).
fof(f_1763_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc24_xreal_0]) ).
fof(f_1763_2,plain,
! [U_4861,U_4860] :
( ( ~ v3_xreal_0(k3_xcmplx_0(U_4861,U_4860))
& v1_xreal_0(k3_xcmplx_0(U_4861,U_4860))
& v1_xcmplx_0(k3_xcmplx_0(U_4861,U_4860)) )
| v3_xreal_0(U_4860)
| ~ v1_xreal_0(U_4860)
| v3_xreal_0(U_4861)
| ~ v1_xreal_0(U_4861) ),
inference(variable_rename,[status(thm)],[f_1763_1]) ).
fof(f_1763_3,plain,
( ! [U_4860,U_4861] :
( ~ v3_xreal_0(k3_xcmplx_0(U_4861,U_4860))
| ~ sP826(U_4860,U_4861) )
& ! [U_4860,U_4861] :
( v1_xreal_0(k3_xcmplx_0(U_4861,U_4860))
| ~ sP826(U_4860,U_4861) )
& ! [U_4860,U_4861] :
( v1_xcmplx_0(k3_xcmplx_0(U_4861,U_4860))
| ~ sP826(U_4860,U_4861) )
& ! [U_4860,U_4861] :
( sP826(U_4860,U_4861)
| v3_xreal_0(U_4860)
| ~ v1_xreal_0(U_4860)
| v3_xreal_0(U_4861)
| ~ v1_xreal_0(U_4861) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP826])],[f_1763_2]) ).
cnf(f_1763_4,plain,
( sP826(U_4860,U_4861)
| v3_xreal_0(U_4860)
| ~ v1_xreal_0(U_4860)
| v3_xreal_0(U_4861)
| ~ v1_xreal_0(U_4861) ),
inference(clausify,[status(thm)],[f_1763_3]) ).
cnf(f_1763_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4861,U_4860))
| ~ sP826(U_4860,U_4861) ),
inference(clausify,[status(thm)],[f_1763_3]) ).
cnf(f_1763_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4861,U_4860))
| ~ sP826(U_4860,U_4861) ),
inference(clausify,[status(thm)],[f_1763_3]) ).
cnf(f_1763_7,plain,
( ~ v3_xreal_0(k3_xcmplx_0(U_4861,U_4860))
| ~ sP826(U_4860,U_4861) ),
inference(clausify,[status(thm)],[f_1763_3]) ).
fof(f_1764_1,plain,
! [A] :
( ( ~ v2_xreal_0(k5_xcmplx_0(A))
& v1_xreal_0(k5_xcmplx_0(A))
& v1_xcmplx_0(k5_xcmplx_0(A)) )
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc25_xreal_0]) ).
fof(f_1764_2,plain,
! [U_4862] :
( ( ~ v2_xreal_0(k5_xcmplx_0(U_4862))
& v1_xreal_0(k5_xcmplx_0(U_4862))
& v1_xcmplx_0(k5_xcmplx_0(U_4862)) )
| v2_xreal_0(U_4862)
| ~ v1_xreal_0(U_4862) ),
inference(variable_rename,[status(thm)],[f_1764_1]) ).
fof(f_1764_3,plain,
( ! [U_4862] :
( ~ v2_xreal_0(k5_xcmplx_0(U_4862))
| ~ sP827(U_4862) )
& ! [U_4862] :
( v1_xreal_0(k5_xcmplx_0(U_4862))
| ~ sP827(U_4862) )
& ! [U_4862] :
( v1_xcmplx_0(k5_xcmplx_0(U_4862))
| ~ sP827(U_4862) )
& ! [U_4862] :
( sP827(U_4862)
| v2_xreal_0(U_4862)
| ~ v1_xreal_0(U_4862) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP827])],[f_1764_2]) ).
cnf(f_1764_4,plain,
( sP827(U_4862)
| v2_xreal_0(U_4862)
| ~ v1_xreal_0(U_4862) ),
inference(clausify,[status(thm)],[f_1764_3]) ).
cnf(f_1764_5,plain,
( v1_xcmplx_0(k5_xcmplx_0(U_4862))
| ~ sP827(U_4862) ),
inference(clausify,[status(thm)],[f_1764_3]) ).
cnf(f_1764_6,plain,
( v1_xreal_0(k5_xcmplx_0(U_4862))
| ~ sP827(U_4862) ),
inference(clausify,[status(thm)],[f_1764_3]) ).
cnf(f_1764_7,plain,
( ~ v2_xreal_0(k5_xcmplx_0(U_4862))
| ~ sP827(U_4862) ),
inference(clausify,[status(thm)],[f_1764_3]) ).
fof(f_1765_1,plain,
! [A] :
( ( ~ v3_xreal_0(k5_xcmplx_0(A))
& v1_xreal_0(k5_xcmplx_0(A))
& v1_xcmplx_0(k5_xcmplx_0(A)) )
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc26_xreal_0]) ).
fof(f_1765_2,plain,
! [U_4863] :
( ( ~ v3_xreal_0(k5_xcmplx_0(U_4863))
& v1_xreal_0(k5_xcmplx_0(U_4863))
& v1_xcmplx_0(k5_xcmplx_0(U_4863)) )
| v3_xreal_0(U_4863)
| ~ v1_xreal_0(U_4863) ),
inference(variable_rename,[status(thm)],[f_1765_1]) ).
fof(f_1765_3,plain,
( ! [U_4863] :
( ~ v3_xreal_0(k5_xcmplx_0(U_4863))
| ~ sP828(U_4863) )
& ! [U_4863] :
( v1_xreal_0(k5_xcmplx_0(U_4863))
| ~ sP828(U_4863) )
& ! [U_4863] :
( v1_xcmplx_0(k5_xcmplx_0(U_4863))
| ~ sP828(U_4863) )
& ! [U_4863] :
( sP828(U_4863)
| v3_xreal_0(U_4863)
| ~ v1_xreal_0(U_4863) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP828])],[f_1765_2]) ).
cnf(f_1765_4,plain,
( sP828(U_4863)
| v3_xreal_0(U_4863)
| ~ v1_xreal_0(U_4863) ),
inference(clausify,[status(thm)],[f_1765_3]) ).
cnf(f_1765_5,plain,
( v1_xcmplx_0(k5_xcmplx_0(U_4863))
| ~ sP828(U_4863) ),
inference(clausify,[status(thm)],[f_1765_3]) ).
cnf(f_1765_6,plain,
( v1_xreal_0(k5_xcmplx_0(U_4863))
| ~ sP828(U_4863) ),
inference(clausify,[status(thm)],[f_1765_3]) ).
cnf(f_1765_7,plain,
( ~ v3_xreal_0(k5_xcmplx_0(U_4863))
| ~ sP828(U_4863) ),
inference(clausify,[status(thm)],[f_1765_3]) ).
fof(f_1766_1,plain,
! [A,B] :
( ( ~ v2_xreal_0(k7_xcmplx_0(A,B))
& v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc27_xreal_0]) ).
fof(f_1766_2,plain,
! [U_4865,U_4864] :
( ( ~ v2_xreal_0(k7_xcmplx_0(U_4865,U_4864))
& v1_xreal_0(k7_xcmplx_0(U_4865,U_4864))
& v1_xcmplx_0(k7_xcmplx_0(U_4865,U_4864)) )
| v2_xreal_0(U_4864)
| ~ v1_xreal_0(U_4864)
| v3_xreal_0(U_4865)
| ~ v1_xreal_0(U_4865) ),
inference(variable_rename,[status(thm)],[f_1766_1]) ).
fof(f_1766_3,plain,
( ! [U_4865,U_4864] :
( ~ v2_xreal_0(k7_xcmplx_0(U_4865,U_4864))
| ~ sP829(U_4865,U_4864) )
& ! [U_4865,U_4864] :
( v1_xreal_0(k7_xcmplx_0(U_4865,U_4864))
| ~ sP829(U_4865,U_4864) )
& ! [U_4865,U_4864] :
( v1_xcmplx_0(k7_xcmplx_0(U_4865,U_4864))
| ~ sP829(U_4865,U_4864) )
& ! [U_4865,U_4864] :
( sP829(U_4865,U_4864)
| v2_xreal_0(U_4864)
| ~ v1_xreal_0(U_4864)
| v3_xreal_0(U_4865)
| ~ v1_xreal_0(U_4865) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP829])],[f_1766_2]) ).
cnf(f_1766_4,plain,
( sP829(U_4865,U_4864)
| v2_xreal_0(U_4864)
| ~ v1_xreal_0(U_4864)
| v3_xreal_0(U_4865)
| ~ v1_xreal_0(U_4865) ),
inference(clausify,[status(thm)],[f_1766_3]) ).
cnf(f_1766_5,plain,
( v1_xcmplx_0(k7_xcmplx_0(U_4865,U_4864))
| ~ sP829(U_4865,U_4864) ),
inference(clausify,[status(thm)],[f_1766_3]) ).
cnf(f_1766_6,plain,
( v1_xreal_0(k7_xcmplx_0(U_4865,U_4864))
| ~ sP829(U_4865,U_4864) ),
inference(clausify,[status(thm)],[f_1766_3]) ).
cnf(f_1766_7,plain,
( ~ v2_xreal_0(k7_xcmplx_0(U_4865,U_4864))
| ~ sP829(U_4865,U_4864) ),
inference(clausify,[status(thm)],[f_1766_3]) ).
fof(f_1767_1,plain,
! [A,B] :
( ( ~ v2_xreal_0(k7_xcmplx_0(B,A))
& v1_xreal_0(k7_xcmplx_0(B,A))
& v1_xcmplx_0(k7_xcmplx_0(B,A)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc28_xreal_0]) ).
fof(f_1767_2,plain,
! [U_4867,U_4866] :
( ( ~ v2_xreal_0(k7_xcmplx_0(U_4866,U_4867))
& v1_xreal_0(k7_xcmplx_0(U_4866,U_4867))
& v1_xcmplx_0(k7_xcmplx_0(U_4866,U_4867)) )
| v2_xreal_0(U_4866)
| ~ v1_xreal_0(U_4866)
| v3_xreal_0(U_4867)
| ~ v1_xreal_0(U_4867) ),
inference(variable_rename,[status(thm)],[f_1767_1]) ).
fof(f_1767_3,plain,
( ! [U_4867,U_4866] :
( ~ v2_xreal_0(k7_xcmplx_0(U_4866,U_4867))
| ~ sP830(U_4867,U_4866) )
& ! [U_4867,U_4866] :
( v1_xreal_0(k7_xcmplx_0(U_4866,U_4867))
| ~ sP830(U_4867,U_4866) )
& ! [U_4867,U_4866] :
( v1_xcmplx_0(k7_xcmplx_0(U_4866,U_4867))
| ~ sP830(U_4867,U_4866) )
& ! [U_4867,U_4866] :
( sP830(U_4867,U_4866)
| v2_xreal_0(U_4866)
| ~ v1_xreal_0(U_4866)
| v3_xreal_0(U_4867)
| ~ v1_xreal_0(U_4867) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP830])],[f_1767_2]) ).
cnf(f_1767_4,plain,
( sP830(U_4867,U_4866)
| v2_xreal_0(U_4866)
| ~ v1_xreal_0(U_4866)
| v3_xreal_0(U_4867)
| ~ v1_xreal_0(U_4867) ),
inference(clausify,[status(thm)],[f_1767_3]) ).
cnf(f_1767_5,plain,
( v1_xcmplx_0(k7_xcmplx_0(U_4866,U_4867))
| ~ sP830(U_4867,U_4866) ),
inference(clausify,[status(thm)],[f_1767_3]) ).
cnf(f_1767_6,plain,
( v1_xreal_0(k7_xcmplx_0(U_4866,U_4867))
| ~ sP830(U_4867,U_4866) ),
inference(clausify,[status(thm)],[f_1767_3]) ).
cnf(f_1767_7,plain,
( ~ v2_xreal_0(k7_xcmplx_0(U_4866,U_4867))
| ~ sP830(U_4867,U_4866) ),
inference(clausify,[status(thm)],[f_1767_3]) ).
fof(f_1768_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k7_xcmplx_0(A,B))
& v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) )
| v3_xreal_0(B)
| ~ v1_xreal_0(B)
| v3_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc29_xreal_0]) ).
fof(f_1768_2,plain,
! [U_4869,U_4868] :
( ( ~ v3_xreal_0(k7_xcmplx_0(U_4869,U_4868))
& v1_xreal_0(k7_xcmplx_0(U_4869,U_4868))
& v1_xcmplx_0(k7_xcmplx_0(U_4869,U_4868)) )
| v3_xreal_0(U_4868)
| ~ v1_xreal_0(U_4868)
| v3_xreal_0(U_4869)
| ~ v1_xreal_0(U_4869) ),
inference(variable_rename,[status(thm)],[f_1768_1]) ).
fof(f_1768_3,plain,
( ! [U_4869,U_4868] :
( ~ v3_xreal_0(k7_xcmplx_0(U_4869,U_4868))
| ~ sP831(U_4869,U_4868) )
& ! [U_4869,U_4868] :
( v1_xreal_0(k7_xcmplx_0(U_4869,U_4868))
| ~ sP831(U_4869,U_4868) )
& ! [U_4869,U_4868] :
( v1_xcmplx_0(k7_xcmplx_0(U_4869,U_4868))
| ~ sP831(U_4869,U_4868) )
& ! [U_4869,U_4868] :
( sP831(U_4869,U_4868)
| v3_xreal_0(U_4868)
| ~ v1_xreal_0(U_4868)
| v3_xreal_0(U_4869)
| ~ v1_xreal_0(U_4869) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP831])],[f_1768_2]) ).
cnf(f_1768_4,plain,
( sP831(U_4869,U_4868)
| v3_xreal_0(U_4868)
| ~ v1_xreal_0(U_4868)
| v3_xreal_0(U_4869)
| ~ v1_xreal_0(U_4869) ),
inference(clausify,[status(thm)],[f_1768_3]) ).
cnf(f_1768_5,plain,
( v1_xcmplx_0(k7_xcmplx_0(U_4869,U_4868))
| ~ sP831(U_4869,U_4868) ),
inference(clausify,[status(thm)],[f_1768_3]) ).
cnf(f_1768_6,plain,
( v1_xreal_0(k7_xcmplx_0(U_4869,U_4868))
| ~ sP831(U_4869,U_4868) ),
inference(clausify,[status(thm)],[f_1768_3]) ).
cnf(f_1768_7,plain,
( ~ v3_xreal_0(k7_xcmplx_0(U_4869,U_4868))
| ~ sP831(U_4869,U_4868) ),
inference(clausify,[status(thm)],[f_1768_3]) ).
fof(f_1769_1,plain,
! [A,B] :
( ( ~ v3_xreal_0(k7_xcmplx_0(A,B))
& v1_xreal_0(k7_xcmplx_0(A,B))
& v1_xcmplx_0(k7_xcmplx_0(A,B)) )
| v2_xreal_0(B)
| ~ v1_xreal_0(B)
| v2_xreal_0(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc30_xreal_0]) ).
fof(f_1769_2,plain,
! [U_4871,U_4870] :
( ( ~ v3_xreal_0(k7_xcmplx_0(U_4871,U_4870))
& v1_xreal_0(k7_xcmplx_0(U_4871,U_4870))
& v1_xcmplx_0(k7_xcmplx_0(U_4871,U_4870)) )
| v2_xreal_0(U_4870)
| ~ v1_xreal_0(U_4870)
| v2_xreal_0(U_4871)
| ~ v1_xreal_0(U_4871) ),
inference(variable_rename,[status(thm)],[f_1769_1]) ).
fof(f_1769_3,plain,
( ! [U_4870,U_4871] :
( ~ v3_xreal_0(k7_xcmplx_0(U_4871,U_4870))
| ~ sP832(U_4870,U_4871) )
& ! [U_4870,U_4871] :
( v1_xreal_0(k7_xcmplx_0(U_4871,U_4870))
| ~ sP832(U_4870,U_4871) )
& ! [U_4870,U_4871] :
( v1_xcmplx_0(k7_xcmplx_0(U_4871,U_4870))
| ~ sP832(U_4870,U_4871) )
& ! [U_4870,U_4871] :
( sP832(U_4870,U_4871)
| v2_xreal_0(U_4870)
| ~ v1_xreal_0(U_4870)
| v2_xreal_0(U_4871)
| ~ v1_xreal_0(U_4871) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP832])],[f_1769_2]) ).
cnf(f_1769_4,plain,
( sP832(U_4870,U_4871)
| v2_xreal_0(U_4870)
| ~ v1_xreal_0(U_4870)
| v2_xreal_0(U_4871)
| ~ v1_xreal_0(U_4871) ),
inference(clausify,[status(thm)],[f_1769_3]) ).
cnf(f_1769_5,plain,
( v1_xcmplx_0(k7_xcmplx_0(U_4871,U_4870))
| ~ sP832(U_4870,U_4871) ),
inference(clausify,[status(thm)],[f_1769_3]) ).
cnf(f_1769_6,plain,
( v1_xreal_0(k7_xcmplx_0(U_4871,U_4870))
| ~ sP832(U_4870,U_4871) ),
inference(clausify,[status(thm)],[f_1769_3]) ).
cnf(f_1769_7,plain,
( ~ v3_xreal_0(k7_xcmplx_0(U_4871,U_4870))
| ~ sP832(U_4870,U_4871) ),
inference(clausify,[status(thm)],[f_1769_3]) ).
fof(f_1770_1,plain,
! [A] :
( ( v1_xreal_0(A)
| ~ r2_hidden(A,k1_numbers) )
& ( r2_hidden(A,k1_numbers)
| ~ v1_xreal_0(A) ) ),
inference(fof_nnf,[status(thm)],[d1_xreal_0]) ).
fof(f_1770_2,plain,
! [U_4872] :
( ( v1_xreal_0(U_4872)
| ~ r2_hidden(U_4872,k1_numbers) )
& ( r2_hidden(U_4872,k1_numbers)
| ~ v1_xreal_0(U_4872) ) ),
inference(variable_rename,[status(thm)],[f_1770_1]) ).
fof(f_1770_3,plain,
( ! [U_4874] :
( v1_xreal_0(U_4874)
| ~ r2_hidden(U_4874,k1_numbers) )
& ! [U_4873] :
( r2_hidden(U_4873,k1_numbers)
| ~ v1_xreal_0(U_4873) ) ),
inference(miniscope,[status(thm)],[f_1770_2]) ).
fof(f_1770_4,plain,
( ! [U_4874] :
( v1_xreal_0(U_4874)
| ~ r2_hidden(U_4874,k1_numbers) )
& ! [U_4873] :
( r2_hidden(U_4873,k1_numbers)
| ~ v1_xreal_0(U_4873) ) ),
inference(definitional_conversion,[status(esa)],[f_1770_3]) ).
cnf(f_1770_5,plain,
( r2_hidden(U_4873,k1_numbers)
| ~ v1_xreal_0(U_4873) ),
inference(clausify,[status(thm)],[f_1770_4]) ).
cnf(f_1770_6,plain,
( v1_xreal_0(U_4874)
| ~ r2_hidden(U_4874,k1_numbers) ),
inference(clausify,[status(thm)],[f_1770_4]) ).
fof(f_1771_1,plain,
! [A] :
( ! [B] :
( ( ( ( ( r1_xreal_0(A,B)
| ~ r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(B,k2_arytm_2) )
& ( ( r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(B,k2_arytm_2) )
| ~ r1_xreal_0(A,B) ) )
| ( r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(B,k2_arytm_2)
& r2_hidden(A,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(A,B)
| ! [C] :
( ! [D] :
( ~ r1_arytm_2(D,C)
| B != k4_tarski(np__0,D)
| A != k4_tarski(np__0,C)
| ~ m1_subset_1(D,k2_arytm_2) )
| ~ m1_subset_1(C,k2_arytm_2) ) )
& ( ? [C] :
( ? [D] :
( r1_arytm_2(D,C)
& B = k4_tarski(np__0,D)
& A = k4_tarski(np__0,C)
& m1_subset_1(D,k2_arytm_2) )
& m1_subset_1(C,k2_arytm_2) )
| ~ r1_xreal_0(A,B) ) )
| ~ r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(A,B)
| ! [C] :
( ! [D] :
( ~ r1_arytm_2(C,D)
| B != D
| A != C
| ~ m1_subset_1(D,k2_arytm_2) )
| ~ m1_subset_1(C,k2_arytm_2) ) )
& ( ? [C] :
( ? [D] :
( r1_arytm_2(C,D)
& B = D
& A = C
& m1_subset_1(D,k2_arytm_2) )
& m1_subset_1(C,k2_arytm_2) )
| ~ r1_xreal_0(A,B) ) )
| ~ r2_hidden(B,k2_arytm_2)
| ~ r2_hidden(A,k2_arytm_2) ) )
| ~ v1_xreal_0(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[d2_xreal_0]) ).
fof(f_1771_2,plain,
! [U_4884] :
( ! [U_4883] :
( ( ( ( ( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2) )
& ( ( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4883,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(U_4883,k2_arytm_2)
& r2_hidden(U_4884,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4882] :
( ! [U_4881] :
( ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4881,k2_arytm_2) )
| ~ m1_subset_1(U_4882,k2_arytm_2) ) )
& ( ? [U_4880] :
( ? [U_4879] :
( r1_arytm_2(U_4879,U_4880)
& U_4883 = k4_tarski(np__0,U_4879)
& U_4884 = k4_tarski(np__0,U_4880)
& m1_subset_1(U_4879,k2_arytm_2) )
& m1_subset_1(U_4880,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4878] :
( ! [U_4877] :
( ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| U_4884 != U_4878
| ~ m1_subset_1(U_4877,k2_arytm_2) )
| ~ m1_subset_1(U_4878,k2_arytm_2) ) )
& ( ? [U_4876] :
( ? [U_4875] :
( r1_arytm_2(U_4876,U_4875)
& U_4883 = U_4875
& U_4884 = U_4876
& m1_subset_1(U_4875,k2_arytm_2) )
& m1_subset_1(U_4876,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2) ) )
| ~ v1_xreal_0(U_4883) )
| ~ v1_xreal_0(U_4884) ),
inference(variable_rename,[status(thm)],[f_1771_1]) ).
fof(f_1771_3,plain,
! [U_4884] :
( ! [U_4883] :
( ( ( ( ( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2) )
& ( ( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4883,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(U_4883,k2_arytm_2)
& r2_hidden(U_4884,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4882] :
( ! [U_4881] :
( ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2) )
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2) ) )
& ( ? [U_4880] :
( ? [U_4879] :
( r1_arytm_2(U_4879,U_4880)
& U_4883 = k4_tarski(np__0,U_4879)
& m1_subset_1(U_4879,k2_arytm_2) )
& U_4884 = k4_tarski(np__0,U_4880)
& m1_subset_1(U_4880,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4878] :
( ! [U_4877] :
( ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2) )
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2) ) )
& ( ? [U_4876] :
( ? [U_4875] :
( r1_arytm_2(U_4876,U_4875)
& U_4883 = U_4875
& m1_subset_1(U_4875,k2_arytm_2) )
& U_4884 = U_4876
& m1_subset_1(U_4876,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2) ) )
| ~ v1_xreal_0(U_4883) )
| ~ v1_xreal_0(U_4884) ),
inference(miniscope,[status(thm)],[f_1771_2]) ).
fof(f_1771_4,plain,
! [U_4884] :
( ! [U_4883] :
( ( ( ( ( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2) )
& ( ( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4883,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(U_4883,k2_arytm_2)
& r2_hidden(U_4884,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4882] :
( ! [U_4881] :
( ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2) )
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2) ) )
& ( ? [U_4880] :
( ? [U_4879] :
( r1_arytm_2(U_4879,U_4880)
& U_4883 = k4_tarski(np__0,U_4879)
& m1_subset_1(U_4879,k2_arytm_2) )
& U_4884 = k4_tarski(np__0,U_4880)
& m1_subset_1(U_4880,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4878] :
( ! [U_4877] :
( ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2) )
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2) ) )
& ( ( ? [U_4875] :
( r1_arytm_2(sK609(U_4884,U_4883),U_4875)
& U_4883 = U_4875
& m1_subset_1(U_4875,k2_arytm_2) )
& U_4884 = sK609(U_4884,U_4883)
& m1_subset_1(sK609(U_4884,U_4883),k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2) ) )
| ~ v1_xreal_0(U_4883) )
| ~ v1_xreal_0(U_4884) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK609]),skolemize(U_4876,sK609(U_4884,U_4883))],[f_1771_3]) ).
fof(f_1771_5,plain,
! [U_4884] :
( ! [U_4883] :
( ( ( ( ( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2) )
& ( ( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4883,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(U_4883,k2_arytm_2)
& r2_hidden(U_4884,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4882] :
( ! [U_4881] :
( ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2) )
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2) ) )
& ( ? [U_4880] :
( ? [U_4879] :
( r1_arytm_2(U_4879,U_4880)
& U_4883 = k4_tarski(np__0,U_4879)
& m1_subset_1(U_4879,k2_arytm_2) )
& U_4884 = k4_tarski(np__0,U_4880)
& m1_subset_1(U_4880,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4878] :
( ! [U_4877] :
( ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2) )
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2) ) )
& ( ( r1_arytm_2(sK609(U_4884,U_4883),sK610(U_4884,U_4883))
& U_4883 = sK610(U_4884,U_4883)
& m1_subset_1(sK610(U_4884,U_4883),k2_arytm_2)
& U_4884 = sK609(U_4884,U_4883)
& m1_subset_1(sK609(U_4884,U_4883),k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2) ) )
| ~ v1_xreal_0(U_4883) )
| ~ v1_xreal_0(U_4884) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK610]),skolemize(U_4875,sK610(U_4884,U_4883))],[f_1771_4]) ).
fof(f_1771_6,plain,
! [U_4884] :
( ! [U_4883] :
( ( ( ( ( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2) )
& ( ( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4883,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(U_4883,k2_arytm_2)
& r2_hidden(U_4884,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4882] :
( ! [U_4881] :
( ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2) )
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2) ) )
& ( ( ? [U_4879] :
( r1_arytm_2(U_4879,sK611(U_4884,U_4883))
& U_4883 = k4_tarski(np__0,U_4879)
& m1_subset_1(U_4879,k2_arytm_2) )
& U_4884 = k4_tarski(np__0,sK611(U_4884,U_4883))
& m1_subset_1(sK611(U_4884,U_4883),k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4878] :
( ! [U_4877] :
( ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2) )
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2) ) )
& ( ( r1_arytm_2(sK609(U_4884,U_4883),sK610(U_4884,U_4883))
& U_4883 = sK610(U_4884,U_4883)
& m1_subset_1(sK610(U_4884,U_4883),k2_arytm_2)
& U_4884 = sK609(U_4884,U_4883)
& m1_subset_1(sK609(U_4884,U_4883),k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2) ) )
| ~ v1_xreal_0(U_4883) )
| ~ v1_xreal_0(U_4884) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK611]),skolemize(U_4880,sK611(U_4884,U_4883))],[f_1771_5]) ).
fof(f_1771_7,plain,
! [U_4884] :
( ! [U_4883] :
( ( ( ( ( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2) )
& ( ( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4883,k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
& r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
| ( r2_hidden(U_4883,k2_arytm_2)
& r2_hidden(U_4884,k2_arytm_2) ) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4882] :
( ! [U_4881] :
( ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2) )
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2) ) )
& ( ( r1_arytm_2(sK612(U_4884,U_4883),sK611(U_4884,U_4883))
& U_4883 = k4_tarski(np__0,sK612(U_4884,U_4883))
& m1_subset_1(sK612(U_4884,U_4883),k2_arytm_2)
& U_4884 = k4_tarski(np__0,sK611(U_4884,U_4883))
& m1_subset_1(sK611(U_4884,U_4883),k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) )
& ( ( ( r1_xreal_0(U_4884,U_4883)
| ! [U_4878] :
( ! [U_4877] :
( ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2) )
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2) ) )
& ( ( r1_arytm_2(sK609(U_4884,U_4883),sK610(U_4884,U_4883))
& U_4883 = sK610(U_4884,U_4883)
& m1_subset_1(sK610(U_4884,U_4883),k2_arytm_2)
& U_4884 = sK609(U_4884,U_4883)
& m1_subset_1(sK609(U_4884,U_4883),k2_arytm_2) )
| ~ r1_xreal_0(U_4884,U_4883) ) )
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2) ) )
| ~ v1_xreal_0(U_4883) )
| ~ v1_xreal_0(U_4884) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK612]),skolemize(U_4879,sK612(U_4884,U_4883))],[f_1771_6]) ).
fof(f_1771_8,plain,
( ! [U_4883,U_4884] :
( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP839(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r2_hidden(U_4883,k2_arytm_2)
| ~ sP839(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ sP840(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( sP839(U_4883,U_4884)
| ~ r1_xreal_0(U_4884,U_4883)
| ~ sP840(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP838(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP838(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r2_hidden(U_4883,k2_arytm_2)
| ~ sP837(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r2_hidden(U_4884,k2_arytm_2)
| ~ sP837(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r1_arytm_2(sK612(U_4884,U_4883),sK611(U_4884,U_4883))
| ~ sP835(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( U_4883 = k4_tarski(np__0,sK612(U_4884,U_4883))
| ~ sP835(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( m1_subset_1(sK612(U_4884,U_4883),k2_arytm_2)
| ~ sP835(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( U_4884 = k4_tarski(np__0,sK611(U_4884,U_4883))
| ~ sP835(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( m1_subset_1(sK611(U_4884,U_4883),k2_arytm_2)
| ~ sP835(U_4883,U_4884) )
& ! [U_4882,U_4881,U_4883,U_4884] :
( r1_xreal_0(U_4884,U_4883)
| ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2)
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2)
| ~ sP836(U_4882,U_4881,U_4883,U_4884) )
& ! [U_4882,U_4881,U_4883,U_4884] :
( sP835(U_4883,U_4884)
| ~ r1_xreal_0(U_4884,U_4883)
| ~ sP836(U_4882,U_4881,U_4883,U_4884) )
& ! [U_4883,U_4884] :
( r1_arytm_2(sK609(U_4884,U_4883),sK610(U_4884,U_4883))
| ~ sP833(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( U_4883 = sK610(U_4884,U_4883)
| ~ sP833(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( m1_subset_1(sK610(U_4884,U_4883),k2_arytm_2)
| ~ sP833(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( U_4884 = sK609(U_4884,U_4883)
| ~ sP833(U_4883,U_4884) )
& ! [U_4883,U_4884] :
( m1_subset_1(sK609(U_4884,U_4883),k2_arytm_2)
| ~ sP833(U_4883,U_4884) )
& ! [U_4878,U_4877,U_4883,U_4884] :
( r1_xreal_0(U_4884,U_4883)
| ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2)
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2)
| ~ sP834(U_4878,U_4877,U_4883,U_4884) )
& ! [U_4878,U_4877,U_4883,U_4884] :
( sP833(U_4883,U_4884)
| ~ r1_xreal_0(U_4884,U_4883)
| ~ sP834(U_4878,U_4877,U_4883,U_4884) )
& ! [U_4882,U_4881,U_4878,U_4877,U_4883,U_4884] :
( sP840(U_4883,U_4884)
| sP838(U_4883,U_4884)
| sP837(U_4883,U_4884)
| ~ sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884) )
& ! [U_4882,U_4881,U_4878,U_4877,U_4883,U_4884] :
( sP836(U_4882,U_4881,U_4883,U_4884)
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884) )
& ! [U_4882,U_4881,U_4878,U_4877,U_4883,U_4884] :
( sP834(U_4878,U_4877,U_4883,U_4884)
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2)
| ~ sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884) )
& ! [U_4882,U_4881,U_4878,U_4877,U_4883,U_4884] :
( sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884)
| ~ v1_xreal_0(U_4883)
| ~ v1_xreal_0(U_4884) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP833,sP834,sP835,sP836,sP837,sP838,sP839,sP840,sP841])],[f_1771_7]) ).
cnf(f_1771_9,plain,
( sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884)
| ~ v1_xreal_0(U_4883)
| ~ v1_xreal_0(U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_10,plain,
( sP834(U_4878,U_4877,U_4883,U_4884)
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ r2_hidden(U_4884,k2_arytm_2)
| ~ sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_11,plain,
( sP836(U_4882,U_4881,U_4883,U_4884)
| ~ r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_12,plain,
( sP840(U_4883,U_4884)
| sP838(U_4883,U_4884)
| sP837(U_4883,U_4884)
| ~ sP841(U_4882,U_4881,U_4878,U_4877,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_13,plain,
( sP833(U_4883,U_4884)
| ~ r1_xreal_0(U_4884,U_4883)
| ~ sP834(U_4878,U_4877,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_14,plain,
( r1_xreal_0(U_4884,U_4883)
| ~ r1_arytm_2(U_4878,U_4877)
| U_4883 != U_4877
| ~ m1_subset_1(U_4877,k2_arytm_2)
| U_4884 != U_4878
| ~ m1_subset_1(U_4878,k2_arytm_2)
| ~ sP834(U_4878,U_4877,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_15,plain,
( m1_subset_1(sK609(U_4884,U_4883),k2_arytm_2)
| ~ sP833(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_16,plain,
( U_4884 = sK609(U_4884,U_4883)
| ~ sP833(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_17,plain,
( m1_subset_1(sK610(U_4884,U_4883),k2_arytm_2)
| ~ sP833(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_18,plain,
( U_4883 = sK610(U_4884,U_4883)
| ~ sP833(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_19,plain,
( r1_arytm_2(sK609(U_4884,U_4883),sK610(U_4884,U_4883))
| ~ sP833(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_20,plain,
( sP835(U_4883,U_4884)
| ~ r1_xreal_0(U_4884,U_4883)
| ~ sP836(U_4882,U_4881,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_21,plain,
( r1_xreal_0(U_4884,U_4883)
| ~ r1_arytm_2(U_4881,U_4882)
| U_4883 != k4_tarski(np__0,U_4881)
| ~ m1_subset_1(U_4881,k2_arytm_2)
| U_4884 != k4_tarski(np__0,U_4882)
| ~ m1_subset_1(U_4882,k2_arytm_2)
| ~ sP836(U_4882,U_4881,U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_22,plain,
( m1_subset_1(sK611(U_4884,U_4883),k2_arytm_2)
| ~ sP835(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_23,plain,
( U_4884 = k4_tarski(np__0,sK611(U_4884,U_4883))
| ~ sP835(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_24,plain,
( m1_subset_1(sK612(U_4884,U_4883),k2_arytm_2)
| ~ sP835(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_25,plain,
( U_4883 = k4_tarski(np__0,sK612(U_4884,U_4883))
| ~ sP835(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_26,plain,
( r1_arytm_2(sK612(U_4884,U_4883),sK611(U_4884,U_4883))
| ~ sP835(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_27,plain,
( r2_hidden(U_4884,k2_arytm_2)
| ~ sP837(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_28,plain,
( r2_hidden(U_4883,k2_arytm_2)
| ~ sP837(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_29,plain,
( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP838(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_30,plain,
( r2_hidden(U_4883,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP838(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_31,plain,
( sP839(U_4883,U_4884)
| ~ r1_xreal_0(U_4884,U_4883)
| ~ sP840(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_32,plain,
( r1_xreal_0(U_4884,U_4883)
| ~ r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ r2_hidden(U_4883,k2_arytm_2)
| ~ sP840(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_33,plain,
( r2_hidden(U_4883,k2_arytm_2)
| ~ sP839(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
cnf(f_1771_34,plain,
( r2_hidden(U_4884,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))
| ~ sP839(U_4883,U_4884) ),
inference(clausify,[status(thm)],[f_1771_8]) ).
fof(f_1772_1,plain,
! [A] :
( ( ( v2_xreal_0(A)
| r1_xreal_0(A,np__0) )
& ( ~ r1_xreal_0(A,np__0)
| ~ v2_xreal_0(A) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[d3_xreal_0]) ).
fof(f_1772_2,plain,
! [U_4885] :
( ( ( v2_xreal_0(U_4885)
| r1_xreal_0(U_4885,np__0) )
& ( ~ r1_xreal_0(U_4885,np__0)
| ~ v2_xreal_0(U_4885) ) )
| ~ v1_xreal_0(U_4885) ),
inference(variable_rename,[status(thm)],[f_1772_1]) ).
fof(f_1772_3,plain,
( ! [U_4885] :
( v2_xreal_0(U_4885)
| r1_xreal_0(U_4885,np__0)
| ~ sP842(U_4885) )
& ! [U_4885] :
( ~ r1_xreal_0(U_4885,np__0)
| ~ v2_xreal_0(U_4885)
| ~ sP842(U_4885) )
& ! [U_4885] :
( sP842(U_4885)
| ~ v1_xreal_0(U_4885) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP842])],[f_1772_2]) ).
cnf(f_1772_4,plain,
( sP842(U_4885)
| ~ v1_xreal_0(U_4885) ),
inference(clausify,[status(thm)],[f_1772_3]) ).
cnf(f_1772_5,plain,
( ~ r1_xreal_0(U_4885,np__0)
| ~ v2_xreal_0(U_4885)
| ~ sP842(U_4885) ),
inference(clausify,[status(thm)],[f_1772_3]) ).
cnf(f_1772_6,plain,
( v2_xreal_0(U_4885)
| r1_xreal_0(U_4885,np__0)
| ~ sP842(U_4885) ),
inference(clausify,[status(thm)],[f_1772_3]) ).
fof(f_1773_1,plain,
! [A] :
( ( ( v3_xreal_0(A)
| r1_xreal_0(np__0,A) )
& ( ~ r1_xreal_0(np__0,A)
| ~ v3_xreal_0(A) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[d4_xreal_0]) ).
fof(f_1773_2,plain,
! [U_4886] :
( ( ( v3_xreal_0(U_4886)
| r1_xreal_0(np__0,U_4886) )
& ( ~ r1_xreal_0(np__0,U_4886)
| ~ v3_xreal_0(U_4886) ) )
| ~ v1_xreal_0(U_4886) ),
inference(variable_rename,[status(thm)],[f_1773_1]) ).
fof(f_1773_3,plain,
( ! [U_4886] :
( v3_xreal_0(U_4886)
| r1_xreal_0(np__0,U_4886)
| ~ sP843(U_4886) )
& ! [U_4886] :
( ~ r1_xreal_0(np__0,U_4886)
| ~ v3_xreal_0(U_4886)
| ~ sP843(U_4886) )
& ! [U_4886] :
( sP843(U_4886)
| ~ v1_xreal_0(U_4886) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP843])],[f_1773_2]) ).
cnf(f_1773_4,plain,
( sP843(U_4886)
| ~ v1_xreal_0(U_4886) ),
inference(clausify,[status(thm)],[f_1773_3]) ).
cnf(f_1773_5,plain,
( ~ r1_xreal_0(np__0,U_4886)
| ~ v3_xreal_0(U_4886)
| ~ sP843(U_4886) ),
inference(clausify,[status(thm)],[f_1773_3]) ).
cnf(f_1773_6,plain,
( v3_xreal_0(U_4886)
| r1_xreal_0(np__0,U_4886)
| ~ sP843(U_4886) ),
inference(clausify,[status(thm)],[f_1773_3]) ).
fof(f_1774_1,plain,
! [A,B] :
( r1_xreal_0(A,A)
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r1_xreal_0]) ).
fof(f_1774_2,plain,
! [U_4888,U_4887] :
( r1_xreal_0(U_4888,U_4888)
| ~ v1_xreal_0(U_4887)
| ~ v1_xreal_0(U_4888) ),
inference(variable_rename,[status(thm)],[f_1774_1]) ).
fof(f_1774_3,plain,
! [U_4888] :
( ! [U_4887] : ~ v1_xreal_0(U_4887)
| ~ v1_xreal_0(U_4888)
| r1_xreal_0(U_4888,U_4888) ),
inference(miniscope,[status(thm)],[f_1774_2]) ).
fof(f_1774_4,plain,
! [U_4887,U_4888] :
( ~ v1_xreal_0(U_4887)
| ~ v1_xreal_0(U_4888)
| r1_xreal_0(U_4888,U_4888) ),
inference(definitional_conversion,[status(esa)],[f_1774_3]) ).
cnf(f_1774_5,plain,
( ~ v1_xreal_0(U_4887)
| ~ v1_xreal_0(U_4888)
| r1_xreal_0(U_4888,U_4888) ),
inference(clausify,[status(thm)],[f_1774_4]) ).
fof(f_1775_1,plain,
! [A,B] :
( r1_xreal_0(B,A)
| r1_xreal_0(A,B)
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[connectedness_r1_xreal_0]) ).
fof(f_1775_2,plain,
! [U_4890,U_4889] :
( r1_xreal_0(U_4889,U_4890)
| r1_xreal_0(U_4890,U_4889)
| ~ v1_xreal_0(U_4889)
| ~ v1_xreal_0(U_4890) ),
inference(variable_rename,[status(thm)],[f_1775_1]) ).
fof(f_1775_3,plain,
! [U_4889,U_4890] :
( r1_xreal_0(U_4889,U_4890)
| r1_xreal_0(U_4890,U_4889)
| ~ v1_xreal_0(U_4889)
| ~ v1_xreal_0(U_4890) ),
inference(definitional_conversion,[status(esa)],[f_1775_2]) ).
cnf(f_1775_4,plain,
( r1_xreal_0(U_4889,U_4890)
| r1_xreal_0(U_4890,U_4889)
| ~ v1_xreal_0(U_4889)
| ~ v1_xreal_0(U_4890) ),
inference(clausify,[status(thm)],[f_1775_3]) ).
fof(f_1776_1,plain,
? [A] :
( v1_int_1(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[rc1_int_1]) ).
fof(f_1776_2,plain,
? [U_4891] :
( v1_int_1(U_4891)
& v1_xreal_0(U_4891)
& v1_xcmplx_0(U_4891)
& m1_subset_1(U_4891,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_1776_1]) ).
fof(f_1776_3,plain,
( v1_int_1(sK613)
& v1_xreal_0(sK613)
& v1_xcmplx_0(sK613)
& m1_subset_1(sK613,k1_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK613]),skolemize(U_4891,sK613)],[f_1776_2]) ).
fof(f_1776_4,plain,
( v1_int_1(sK613)
& v1_xreal_0(sK613)
& v1_xcmplx_0(sK613)
& m1_subset_1(sK613,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1776_3]) ).
cnf(f_1776_5,plain,
m1_subset_1(sK613,k1_numbers),
inference(clausify,[status(thm)],[f_1776_4]) ).
cnf(f_1776_6,plain,
v1_xcmplx_0(sK613),
inference(clausify,[status(thm)],[f_1776_4]) ).
cnf(f_1776_7,plain,
v1_xreal_0(sK613),
inference(clausify,[status(thm)],[f_1776_4]) ).
cnf(f_1776_8,plain,
v1_int_1(sK613),
inference(clausify,[status(thm)],[f_1776_4]) ).
fof(f_1777_1,plain,
? [A] : v1_int_1(A),
inference(fof_nnf,[status(thm)],[rc2_int_1]) ).
fof(f_1777_2,plain,
? [U_4892] : v1_int_1(U_4892),
inference(variable_rename,[status(thm)],[f_1777_1]) ).
fof(f_1777_3,plain,
v1_int_1(sK614),
inference(skolemize,[status(esa),new_symbols(skolem,[sK614]),skolemize(U_4892,sK614)],[f_1777_2]) ).
fof(f_1777_4,plain,
v1_int_1(sK614),
inference(definitional_conversion,[status(esa)],[f_1777_3]) ).
cnf(f_1777_5,plain,
v1_int_1(sK614),
inference(clausify,[status(thm)],[f_1777_4]) ).
fof(f_1778_1,plain,
! [A] :
( v1_int_1(A)
| ~ m1_subset_1(A,k4_numbers) ),
inference(fof_nnf,[status(thm)],[cc1_int_1]) ).
fof(f_1778_2,plain,
! [U_4893] :
( v1_int_1(U_4893)
| ~ m1_subset_1(U_4893,k4_numbers) ),
inference(variable_rename,[status(thm)],[f_1778_1]) ).
fof(f_1778_3,plain,
! [U_4893] :
( v1_int_1(U_4893)
| ~ m1_subset_1(U_4893,k4_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1778_2]) ).
cnf(f_1778_4,plain,
( v1_int_1(U_4893)
| ~ m1_subset_1(U_4893,k4_numbers) ),
inference(clausify,[status(thm)],[f_1778_3]) ).
fof(f_1779_1,plain,
! [A] :
( ( v1_int_1(A)
& ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v4_ordinal2(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[cc2_int_1]) ).
fof(f_1779_2,plain,
! [U_4894] :
( ( v1_int_1(U_4894)
& ~ v3_xreal_0(U_4894)
& v1_xreal_0(U_4894)
& v1_xcmplx_0(U_4894)
& v4_ordinal2(U_4894)
& v3_ordinal1(U_4894)
& v2_ordinal1(U_4894)
& v1_ordinal1(U_4894) )
| ~ m1_subset_1(U_4894,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1779_1]) ).
fof(f_1779_3,plain,
( ! [U_4894] :
( v1_int_1(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( ~ v3_xreal_0(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( v1_xreal_0(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( v1_xcmplx_0(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( v4_ordinal2(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( v3_ordinal1(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( v2_ordinal1(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( v1_ordinal1(U_4894)
| ~ sP844(U_4894) )
& ! [U_4894] :
( sP844(U_4894)
| ~ m1_subset_1(U_4894,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP844])],[f_1779_2]) ).
cnf(f_1779_4,plain,
( sP844(U_4894)
| ~ m1_subset_1(U_4894,k5_numbers) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_5,plain,
( v1_ordinal1(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_6,plain,
( v2_ordinal1(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_7,plain,
( v3_ordinal1(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_8,plain,
( v4_ordinal2(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_9,plain,
( v1_xcmplx_0(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_10,plain,
( v1_xreal_0(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_11,plain,
( ~ v3_xreal_0(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
cnf(f_1779_12,plain,
( v1_int_1(U_4894)
| ~ sP844(U_4894) ),
inference(clausify,[status(thm)],[f_1779_3]) ).
fof(f_1780_1,plain,
! [A] :
( v1_int_1(A)
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[cc3_int_1]) ).
fof(f_1780_2,plain,
! [U_4895] :
( v1_int_1(U_4895)
| ~ v4_ordinal2(U_4895) ),
inference(variable_rename,[status(thm)],[f_1780_1]) ).
fof(f_1780_3,plain,
! [U_4895] :
( v1_int_1(U_4895)
| ~ v4_ordinal2(U_4895) ),
inference(definitional_conversion,[status(esa)],[f_1780_2]) ).
cnf(f_1780_4,plain,
( v1_int_1(U_4895)
| ~ v4_ordinal2(U_4895) ),
inference(clausify,[status(thm)],[f_1780_3]) ).
fof(f_1781_1,plain,
! [A] :
( ( v1_xreal_0(A)
& v1_xcmplx_0(A) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[cc4_int_1]) ).
fof(f_1781_2,plain,
! [U_4896] :
( ( v1_xreal_0(U_4896)
& v1_xcmplx_0(U_4896) )
| ~ v1_int_1(U_4896) ),
inference(variable_rename,[status(thm)],[f_1781_1]) ).
fof(f_1781_3,plain,
( ! [U_4896] :
( v1_xreal_0(U_4896)
| ~ sP845(U_4896) )
& ! [U_4896] :
( v1_xcmplx_0(U_4896)
| ~ sP845(U_4896) )
& ! [U_4896] :
( sP845(U_4896)
| ~ v1_int_1(U_4896) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP845])],[f_1781_2]) ).
cnf(f_1781_4,plain,
( sP845(U_4896)
| ~ v1_int_1(U_4896) ),
inference(clausify,[status(thm)],[f_1781_3]) ).
cnf(f_1781_5,plain,
( v1_xcmplx_0(U_4896)
| ~ sP845(U_4896) ),
inference(clausify,[status(thm)],[f_1781_3]) ).
cnf(f_1781_6,plain,
( v1_xreal_0(U_4896)
| ~ sP845(U_4896) ),
inference(clausify,[status(thm)],[f_1781_3]) ).
fof(f_1782_1,plain,
! [A,B] :
( ( v1_int_1(k2_xcmplx_0(A,B))
& v1_xreal_0(k2_xcmplx_0(A,B))
& v1_xcmplx_0(k2_xcmplx_0(A,B)) )
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[fc1_int_1]) ).
fof(f_1782_2,plain,
! [U_4898,U_4897] :
( ( v1_int_1(k2_xcmplx_0(U_4898,U_4897))
& v1_xreal_0(k2_xcmplx_0(U_4898,U_4897))
& v1_xcmplx_0(k2_xcmplx_0(U_4898,U_4897)) )
| ~ v1_int_1(U_4897)
| ~ v1_int_1(U_4898) ),
inference(variable_rename,[status(thm)],[f_1782_1]) ).
fof(f_1782_3,plain,
( ! [U_4898,U_4897] :
( v1_int_1(k2_xcmplx_0(U_4898,U_4897))
| ~ sP846(U_4898,U_4897) )
& ! [U_4898,U_4897] :
( v1_xreal_0(k2_xcmplx_0(U_4898,U_4897))
| ~ sP846(U_4898,U_4897) )
& ! [U_4898,U_4897] :
( v1_xcmplx_0(k2_xcmplx_0(U_4898,U_4897))
| ~ sP846(U_4898,U_4897) )
& ! [U_4898,U_4897] :
( sP846(U_4898,U_4897)
| ~ v1_int_1(U_4897)
| ~ v1_int_1(U_4898) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP846])],[f_1782_2]) ).
cnf(f_1782_4,plain,
( sP846(U_4898,U_4897)
| ~ v1_int_1(U_4897)
| ~ v1_int_1(U_4898) ),
inference(clausify,[status(thm)],[f_1782_3]) ).
cnf(f_1782_5,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4898,U_4897))
| ~ sP846(U_4898,U_4897) ),
inference(clausify,[status(thm)],[f_1782_3]) ).
cnf(f_1782_6,plain,
( v1_xreal_0(k2_xcmplx_0(U_4898,U_4897))
| ~ sP846(U_4898,U_4897) ),
inference(clausify,[status(thm)],[f_1782_3]) ).
cnf(f_1782_7,plain,
( v1_int_1(k2_xcmplx_0(U_4898,U_4897))
| ~ sP846(U_4898,U_4897) ),
inference(clausify,[status(thm)],[f_1782_3]) ).
fof(f_1783_1,plain,
! [A,B] :
( ( v1_int_1(k3_xcmplx_0(A,B))
& v1_xreal_0(k3_xcmplx_0(A,B))
& v1_xcmplx_0(k3_xcmplx_0(A,B)) )
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[fc2_int_1]) ).
fof(f_1783_2,plain,
! [U_4900,U_4899] :
( ( v1_int_1(k3_xcmplx_0(U_4900,U_4899))
& v1_xreal_0(k3_xcmplx_0(U_4900,U_4899))
& v1_xcmplx_0(k3_xcmplx_0(U_4900,U_4899)) )
| ~ v1_int_1(U_4899)
| ~ v1_int_1(U_4900) ),
inference(variable_rename,[status(thm)],[f_1783_1]) ).
fof(f_1783_3,plain,
( ! [U_4899,U_4900] :
( v1_int_1(k3_xcmplx_0(U_4900,U_4899))
| ~ sP847(U_4899,U_4900) )
& ! [U_4899,U_4900] :
( v1_xreal_0(k3_xcmplx_0(U_4900,U_4899))
| ~ sP847(U_4899,U_4900) )
& ! [U_4899,U_4900] :
( v1_xcmplx_0(k3_xcmplx_0(U_4900,U_4899))
| ~ sP847(U_4899,U_4900) )
& ! [U_4899,U_4900] :
( sP847(U_4899,U_4900)
| ~ v1_int_1(U_4899)
| ~ v1_int_1(U_4900) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP847])],[f_1783_2]) ).
cnf(f_1783_4,plain,
( sP847(U_4899,U_4900)
| ~ v1_int_1(U_4899)
| ~ v1_int_1(U_4900) ),
inference(clausify,[status(thm)],[f_1783_3]) ).
cnf(f_1783_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4900,U_4899))
| ~ sP847(U_4899,U_4900) ),
inference(clausify,[status(thm)],[f_1783_3]) ).
cnf(f_1783_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4900,U_4899))
| ~ sP847(U_4899,U_4900) ),
inference(clausify,[status(thm)],[f_1783_3]) ).
cnf(f_1783_7,plain,
( v1_int_1(k3_xcmplx_0(U_4900,U_4899))
| ~ sP847(U_4899,U_4900) ),
inference(clausify,[status(thm)],[f_1783_3]) ).
fof(f_1784_1,plain,
! [A] :
( ( v1_int_1(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[fc3_int_1]) ).
fof(f_1784_2,plain,
! [U_4901] :
( ( v1_int_1(k4_xcmplx_0(U_4901))
& v1_xreal_0(k4_xcmplx_0(U_4901))
& v1_xcmplx_0(k4_xcmplx_0(U_4901)) )
| ~ v1_int_1(U_4901) ),
inference(variable_rename,[status(thm)],[f_1784_1]) ).
fof(f_1784_3,plain,
( ! [U_4901] :
( v1_int_1(k4_xcmplx_0(U_4901))
| ~ sP848(U_4901) )
& ! [U_4901] :
( v1_xreal_0(k4_xcmplx_0(U_4901))
| ~ sP848(U_4901) )
& ! [U_4901] :
( v1_xcmplx_0(k4_xcmplx_0(U_4901))
| ~ sP848(U_4901) )
& ! [U_4901] :
( sP848(U_4901)
| ~ v1_int_1(U_4901) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP848])],[f_1784_2]) ).
cnf(f_1784_4,plain,
( sP848(U_4901)
| ~ v1_int_1(U_4901) ),
inference(clausify,[status(thm)],[f_1784_3]) ).
cnf(f_1784_5,plain,
( v1_xcmplx_0(k4_xcmplx_0(U_4901))
| ~ sP848(U_4901) ),
inference(clausify,[status(thm)],[f_1784_3]) ).
cnf(f_1784_6,plain,
( v1_xreal_0(k4_xcmplx_0(U_4901))
| ~ sP848(U_4901) ),
inference(clausify,[status(thm)],[f_1784_3]) ).
cnf(f_1784_7,plain,
( v1_int_1(k4_xcmplx_0(U_4901))
| ~ sP848(U_4901) ),
inference(clausify,[status(thm)],[f_1784_3]) ).
fof(f_1785_1,plain,
! [A,B] :
( ( v1_int_1(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) )
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[fc4_int_1]) ).
fof(f_1785_2,plain,
! [U_4903,U_4902] :
( ( v1_int_1(k6_xcmplx_0(U_4903,U_4902))
& v1_xreal_0(k6_xcmplx_0(U_4903,U_4902))
& v1_xcmplx_0(k6_xcmplx_0(U_4903,U_4902)) )
| ~ v1_int_1(U_4902)
| ~ v1_int_1(U_4903) ),
inference(variable_rename,[status(thm)],[f_1785_1]) ).
fof(f_1785_3,plain,
( ! [U_4903,U_4902] :
( v1_int_1(k6_xcmplx_0(U_4903,U_4902))
| ~ sP849(U_4903,U_4902) )
& ! [U_4903,U_4902] :
( v1_xreal_0(k6_xcmplx_0(U_4903,U_4902))
| ~ sP849(U_4903,U_4902) )
& ! [U_4903,U_4902] :
( v1_xcmplx_0(k6_xcmplx_0(U_4903,U_4902))
| ~ sP849(U_4903,U_4902) )
& ! [U_4903,U_4902] :
( sP849(U_4903,U_4902)
| ~ v1_int_1(U_4902)
| ~ v1_int_1(U_4903) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP849])],[f_1785_2]) ).
cnf(f_1785_4,plain,
( sP849(U_4903,U_4902)
| ~ v1_int_1(U_4902)
| ~ v1_int_1(U_4903) ),
inference(clausify,[status(thm)],[f_1785_3]) ).
cnf(f_1785_5,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4903,U_4902))
| ~ sP849(U_4903,U_4902) ),
inference(clausify,[status(thm)],[f_1785_3]) ).
cnf(f_1785_6,plain,
( v1_xreal_0(k6_xcmplx_0(U_4903,U_4902))
| ~ sP849(U_4903,U_4902) ),
inference(clausify,[status(thm)],[f_1785_3]) ).
cnf(f_1785_7,plain,
( v1_int_1(k6_xcmplx_0(U_4903,U_4902))
| ~ sP849(U_4903,U_4902) ),
inference(clausify,[status(thm)],[f_1785_3]) ).
fof(f_1786_1,plain,
! [A] :
( ( v1_int_1(k4_xcmplx_0(A))
& ~ v2_xreal_0(k4_xcmplx_0(A))
& v1_xreal_0(k4_xcmplx_0(A))
& v1_xcmplx_0(k4_xcmplx_0(A)) )
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[fc5_int_1]) ).
fof(f_1786_2,plain,
! [U_4904] :
( ( v1_int_1(k4_xcmplx_0(U_4904))
& ~ v2_xreal_0(k4_xcmplx_0(U_4904))
& v1_xreal_0(k4_xcmplx_0(U_4904))
& v1_xcmplx_0(k4_xcmplx_0(U_4904)) )
| ~ m1_subset_1(U_4904,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1786_1]) ).
fof(f_1786_3,plain,
( ! [U_4904] :
( v1_int_1(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) )
& ! [U_4904] :
( ~ v2_xreal_0(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) )
& ! [U_4904] :
( v1_xreal_0(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) )
& ! [U_4904] :
( v1_xcmplx_0(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) )
& ! [U_4904] :
( sP850(U_4904)
| ~ m1_subset_1(U_4904,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP850])],[f_1786_2]) ).
cnf(f_1786_4,plain,
( sP850(U_4904)
| ~ m1_subset_1(U_4904,k5_numbers) ),
inference(clausify,[status(thm)],[f_1786_3]) ).
cnf(f_1786_5,plain,
( v1_xcmplx_0(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) ),
inference(clausify,[status(thm)],[f_1786_3]) ).
cnf(f_1786_6,plain,
( v1_xreal_0(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) ),
inference(clausify,[status(thm)],[f_1786_3]) ).
cnf(f_1786_7,plain,
( ~ v2_xreal_0(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) ),
inference(clausify,[status(thm)],[f_1786_3]) ).
cnf(f_1786_8,plain,
( v1_int_1(k4_xcmplx_0(U_4904))
| ~ sP850(U_4904) ),
inference(clausify,[status(thm)],[f_1786_3]) ).
fof(f_1787_1,plain,
! [A,B] :
( ( v1_int_1(k2_xcmplx_0(B,A))
& v1_xreal_0(k2_xcmplx_0(B,A))
& v1_xcmplx_0(k2_xcmplx_0(B,A)) )
| ~ v1_int_1(B)
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[fc6_int_1]) ).
fof(f_1787_2,plain,
! [U_4906,U_4905] :
( ( v1_int_1(k2_xcmplx_0(U_4905,U_4906))
& v1_xreal_0(k2_xcmplx_0(U_4905,U_4906))
& v1_xcmplx_0(k2_xcmplx_0(U_4905,U_4906)) )
| ~ v1_int_1(U_4905)
| ~ m1_subset_1(U_4906,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1787_1]) ).
fof(f_1787_3,plain,
( ! [U_4906,U_4905] :
( v1_int_1(k2_xcmplx_0(U_4905,U_4906))
| ~ sP851(U_4906,U_4905) )
& ! [U_4906,U_4905] :
( v1_xreal_0(k2_xcmplx_0(U_4905,U_4906))
| ~ sP851(U_4906,U_4905) )
& ! [U_4906,U_4905] :
( v1_xcmplx_0(k2_xcmplx_0(U_4905,U_4906))
| ~ sP851(U_4906,U_4905) )
& ! [U_4906,U_4905] :
( sP851(U_4906,U_4905)
| ~ v1_int_1(U_4905)
| ~ m1_subset_1(U_4906,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP851])],[f_1787_2]) ).
cnf(f_1787_4,plain,
( sP851(U_4906,U_4905)
| ~ v1_int_1(U_4905)
| ~ m1_subset_1(U_4906,k5_numbers) ),
inference(clausify,[status(thm)],[f_1787_3]) ).
cnf(f_1787_5,plain,
( v1_xcmplx_0(k2_xcmplx_0(U_4905,U_4906))
| ~ sP851(U_4906,U_4905) ),
inference(clausify,[status(thm)],[f_1787_3]) ).
cnf(f_1787_6,plain,
( v1_xreal_0(k2_xcmplx_0(U_4905,U_4906))
| ~ sP851(U_4906,U_4905) ),
inference(clausify,[status(thm)],[f_1787_3]) ).
cnf(f_1787_7,plain,
( v1_int_1(k2_xcmplx_0(U_4905,U_4906))
| ~ sP851(U_4906,U_4905) ),
inference(clausify,[status(thm)],[f_1787_3]) ).
fof(f_1788_1,plain,
! [A,B] :
( ( v1_int_1(k3_xcmplx_0(B,A))
& v1_xreal_0(k3_xcmplx_0(B,A))
& v1_xcmplx_0(k3_xcmplx_0(B,A)) )
| ~ v1_int_1(B)
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[fc7_int_1]) ).
fof(f_1788_2,plain,
! [U_4908,U_4907] :
( ( v1_int_1(k3_xcmplx_0(U_4907,U_4908))
& v1_xreal_0(k3_xcmplx_0(U_4907,U_4908))
& v1_xcmplx_0(k3_xcmplx_0(U_4907,U_4908)) )
| ~ v1_int_1(U_4907)
| ~ m1_subset_1(U_4908,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1788_1]) ).
fof(f_1788_3,plain,
( ! [U_4907,U_4908] :
( v1_int_1(k3_xcmplx_0(U_4907,U_4908))
| ~ sP852(U_4907,U_4908) )
& ! [U_4907,U_4908] :
( v1_xreal_0(k3_xcmplx_0(U_4907,U_4908))
| ~ sP852(U_4907,U_4908) )
& ! [U_4907,U_4908] :
( v1_xcmplx_0(k3_xcmplx_0(U_4907,U_4908))
| ~ sP852(U_4907,U_4908) )
& ! [U_4907,U_4908] :
( sP852(U_4907,U_4908)
| ~ v1_int_1(U_4907)
| ~ m1_subset_1(U_4908,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP852])],[f_1788_2]) ).
cnf(f_1788_4,plain,
( sP852(U_4907,U_4908)
| ~ v1_int_1(U_4907)
| ~ m1_subset_1(U_4908,k5_numbers) ),
inference(clausify,[status(thm)],[f_1788_3]) ).
cnf(f_1788_5,plain,
( v1_xcmplx_0(k3_xcmplx_0(U_4907,U_4908))
| ~ sP852(U_4907,U_4908) ),
inference(clausify,[status(thm)],[f_1788_3]) ).
cnf(f_1788_6,plain,
( v1_xreal_0(k3_xcmplx_0(U_4907,U_4908))
| ~ sP852(U_4907,U_4908) ),
inference(clausify,[status(thm)],[f_1788_3]) ).
cnf(f_1788_7,plain,
( v1_int_1(k3_xcmplx_0(U_4907,U_4908))
| ~ sP852(U_4907,U_4908) ),
inference(clausify,[status(thm)],[f_1788_3]) ).
fof(f_1789_1,plain,
! [A,B] :
( ( v1_int_1(k6_xcmplx_0(B,A))
& v1_xreal_0(k6_xcmplx_0(B,A))
& v1_xcmplx_0(k6_xcmplx_0(B,A)) )
| ~ v1_int_1(B)
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[fc8_int_1]) ).
fof(f_1789_2,plain,
! [U_4910,U_4909] :
( ( v1_int_1(k6_xcmplx_0(U_4909,U_4910))
& v1_xreal_0(k6_xcmplx_0(U_4909,U_4910))
& v1_xcmplx_0(k6_xcmplx_0(U_4909,U_4910)) )
| ~ v1_int_1(U_4909)
| ~ m1_subset_1(U_4910,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1789_1]) ).
fof(f_1789_3,plain,
( ! [U_4910,U_4909] :
( v1_int_1(k6_xcmplx_0(U_4909,U_4910))
| ~ sP853(U_4910,U_4909) )
& ! [U_4910,U_4909] :
( v1_xreal_0(k6_xcmplx_0(U_4909,U_4910))
| ~ sP853(U_4910,U_4909) )
& ! [U_4910,U_4909] :
( v1_xcmplx_0(k6_xcmplx_0(U_4909,U_4910))
| ~ sP853(U_4910,U_4909) )
& ! [U_4910,U_4909] :
( sP853(U_4910,U_4909)
| ~ v1_int_1(U_4909)
| ~ m1_subset_1(U_4910,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP853])],[f_1789_2]) ).
cnf(f_1789_4,plain,
( sP853(U_4910,U_4909)
| ~ v1_int_1(U_4909)
| ~ m1_subset_1(U_4910,k5_numbers) ),
inference(clausify,[status(thm)],[f_1789_3]) ).
cnf(f_1789_5,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4909,U_4910))
| ~ sP853(U_4910,U_4909) ),
inference(clausify,[status(thm)],[f_1789_3]) ).
cnf(f_1789_6,plain,
( v1_xreal_0(k6_xcmplx_0(U_4909,U_4910))
| ~ sP853(U_4910,U_4909) ),
inference(clausify,[status(thm)],[f_1789_3]) ).
cnf(f_1789_7,plain,
( v1_int_1(k6_xcmplx_0(U_4909,U_4910))
| ~ sP853(U_4910,U_4909) ),
inference(clausify,[status(thm)],[f_1789_3]) ).
fof(f_1790_1,plain,
! [A,B] :
( ( v1_int_1(k6_xcmplx_0(A,B))
& v1_xreal_0(k6_xcmplx_0(A,B))
& v1_xcmplx_0(k6_xcmplx_0(A,B)) )
| ~ m1_subset_1(B,k5_numbers)
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[fc9_int_1]) ).
fof(f_1790_2,plain,
! [U_4912,U_4911] :
( ( v1_int_1(k6_xcmplx_0(U_4912,U_4911))
& v1_xreal_0(k6_xcmplx_0(U_4912,U_4911))
& v1_xcmplx_0(k6_xcmplx_0(U_4912,U_4911)) )
| ~ m1_subset_1(U_4911,k5_numbers)
| ~ m1_subset_1(U_4912,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1790_1]) ).
fof(f_1790_3,plain,
( ! [U_4911,U_4912] :
( v1_int_1(k6_xcmplx_0(U_4912,U_4911))
| ~ sP854(U_4911,U_4912) )
& ! [U_4911,U_4912] :
( v1_xreal_0(k6_xcmplx_0(U_4912,U_4911))
| ~ sP854(U_4911,U_4912) )
& ! [U_4911,U_4912] :
( v1_xcmplx_0(k6_xcmplx_0(U_4912,U_4911))
| ~ sP854(U_4911,U_4912) )
& ! [U_4911,U_4912] :
( sP854(U_4911,U_4912)
| ~ m1_subset_1(U_4911,k5_numbers)
| ~ m1_subset_1(U_4912,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP854])],[f_1790_2]) ).
cnf(f_1790_4,plain,
( sP854(U_4911,U_4912)
| ~ m1_subset_1(U_4911,k5_numbers)
| ~ m1_subset_1(U_4912,k5_numbers) ),
inference(clausify,[status(thm)],[f_1790_3]) ).
cnf(f_1790_5,plain,
( v1_xcmplx_0(k6_xcmplx_0(U_4912,U_4911))
| ~ sP854(U_4911,U_4912) ),
inference(clausify,[status(thm)],[f_1790_3]) ).
cnf(f_1790_6,plain,
( v1_xreal_0(k6_xcmplx_0(U_4912,U_4911))
| ~ sP854(U_4911,U_4912) ),
inference(clausify,[status(thm)],[f_1790_3]) ).
cnf(f_1790_7,plain,
( v1_int_1(k6_xcmplx_0(U_4912,U_4911))
| ~ sP854(U_4911,U_4912) ),
inference(clausify,[status(thm)],[f_1790_3]) ).
fof(f_1791_1,plain,
! [A] :
( ( v1_xreal_0(k3_int_1(A))
& v1_xcmplx_0(k3_int_1(A)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc10_int_1]) ).
fof(f_1791_2,plain,
! [U_4913] :
( ( v1_xreal_0(k3_int_1(U_4913))
& v1_xcmplx_0(k3_int_1(U_4913)) )
| ~ v1_xreal_0(U_4913) ),
inference(variable_rename,[status(thm)],[f_1791_1]) ).
fof(f_1791_3,plain,
( ! [U_4913] :
( v1_xreal_0(k3_int_1(U_4913))
| ~ sP855(U_4913) )
& ! [U_4913] :
( v1_xcmplx_0(k3_int_1(U_4913))
| ~ sP855(U_4913) )
& ! [U_4913] :
( sP855(U_4913)
| ~ v1_xreal_0(U_4913) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP855])],[f_1791_2]) ).
cnf(f_1791_4,plain,
( sP855(U_4913)
| ~ v1_xreal_0(U_4913) ),
inference(clausify,[status(thm)],[f_1791_3]) ).
cnf(f_1791_5,plain,
( v1_xcmplx_0(k3_int_1(U_4913))
| ~ sP855(U_4913) ),
inference(clausify,[status(thm)],[f_1791_3]) ).
cnf(f_1791_6,plain,
( v1_xreal_0(k3_int_1(U_4913))
| ~ sP855(U_4913) ),
inference(clausify,[status(thm)],[f_1791_3]) ).
fof(f_1792_1,plain,
! [A] :
( ( A = k4_numbers
| ? [B] :
( ( ~ r2_hidden(B,A)
& ? [C] :
( ( B = k1_real_1(C)
| B = C )
& m2_subset_1(C,k1_numbers,k5_numbers) ) )
| ( ! [C] :
( ( B != k1_real_1(C)
& B != C )
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
& r2_hidden(B,A) ) ) )
& ( ! [B] :
( ( r2_hidden(B,A)
| ! [C] :
( ( B != k1_real_1(C)
& B != C )
| ~ m2_subset_1(C,k1_numbers,k5_numbers) ) )
& ( ? [C] :
( ( B = k1_real_1(C)
| B = C )
& m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ r2_hidden(B,A) ) )
| A != k4_numbers ) ),
inference(fof_nnf,[status(thm)],[d1_int_1]) ).
fof(f_1792_2,plain,
! [U_4920] :
( ( U_4920 = k4_numbers
| ? [U_4919] :
( ( ~ r2_hidden(U_4919,U_4920)
& ? [U_4918] :
( ( U_4919 = k1_real_1(U_4918)
| U_4919 = U_4918 )
& m2_subset_1(U_4918,k1_numbers,k5_numbers) ) )
| ( ! [U_4917] :
( ( U_4919 != k1_real_1(U_4917)
& U_4919 != U_4917 )
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers) )
& r2_hidden(U_4919,U_4920) ) ) )
& ( ! [U_4916] :
( ( r2_hidden(U_4916,U_4920)
| ! [U_4915] :
( ( U_4916 != k1_real_1(U_4915)
& U_4916 != U_4915 )
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers) ) )
& ( ? [U_4914] :
( ( U_4916 = k1_real_1(U_4914)
| U_4916 = U_4914 )
& m2_subset_1(U_4914,k1_numbers,k5_numbers) )
| ~ r2_hidden(U_4916,U_4920) ) )
| U_4920 != k4_numbers ) ),
inference(variable_rename,[status(thm)],[f_1792_1]) ).
fof(f_1792_3,plain,
( ! [U_4926] :
( U_4926 = k4_numbers
| ? [U_4924] :
( ~ r2_hidden(U_4924,U_4926)
& ? [U_4918] :
( ( U_4924 = k1_real_1(U_4918)
| U_4924 = U_4918 )
& m2_subset_1(U_4918,k1_numbers,k5_numbers) ) )
| ? [U_4923] :
( ! [U_4917] :
( ( U_4923 != k1_real_1(U_4917)
& U_4923 != U_4917 )
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers) )
& r2_hidden(U_4923,U_4926) ) )
& ! [U_4925] :
( ( ! [U_4922] :
( r2_hidden(U_4922,U_4925)
| ! [U_4915] :
( ( U_4922 != k1_real_1(U_4915)
& U_4922 != U_4915 )
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers) ) )
& ! [U_4921] :
( ? [U_4914] :
( ( U_4921 = k1_real_1(U_4914)
| U_4921 = U_4914 )
& m2_subset_1(U_4914,k1_numbers,k5_numbers) )
| ~ r2_hidden(U_4921,U_4925) ) )
| U_4925 != k4_numbers ) ),
inference(miniscope,[status(thm)],[f_1792_2]) ).
fof(f_1792_4,plain,
( ! [U_4926] :
( U_4926 = k4_numbers
| ? [U_4924] :
( ~ r2_hidden(U_4924,U_4926)
& ? [U_4918] :
( ( U_4924 = k1_real_1(U_4918)
| U_4924 = U_4918 )
& m2_subset_1(U_4918,k1_numbers,k5_numbers) ) )
| ? [U_4923] :
( ! [U_4917] :
( ( U_4923 != k1_real_1(U_4917)
& U_4923 != U_4917 )
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers) )
& r2_hidden(U_4923,U_4926) ) )
& ! [U_4925] :
( ( ! [U_4922] :
( r2_hidden(U_4922,U_4925)
| ! [U_4915] :
( ( U_4922 != k1_real_1(U_4915)
& U_4922 != U_4915 )
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers) ) )
& ! [U_4921] :
( ( ( U_4921 = k1_real_1(sK615(U_4925,U_4921))
| U_4921 = sK615(U_4925,U_4921) )
& m2_subset_1(sK615(U_4925,U_4921),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_4921,U_4925) ) )
| U_4925 != k4_numbers ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK615]),skolemize(U_4914,sK615(U_4925,U_4921))],[f_1792_3]) ).
fof(f_1792_5,plain,
( ! [U_4926] :
( U_4926 = k4_numbers
| ? [U_4924] :
( ~ r2_hidden(U_4924,U_4926)
& ? [U_4918] :
( ( U_4924 = k1_real_1(U_4918)
| U_4924 = U_4918 )
& m2_subset_1(U_4918,k1_numbers,k5_numbers) ) )
| ( ! [U_4917] :
( ( sK616(U_4926) != k1_real_1(U_4917)
& sK616(U_4926) != U_4917 )
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers) )
& r2_hidden(sK616(U_4926),U_4926) ) )
& ! [U_4925] :
( ( ! [U_4922] :
( r2_hidden(U_4922,U_4925)
| ! [U_4915] :
( ( U_4922 != k1_real_1(U_4915)
& U_4922 != U_4915 )
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers) ) )
& ! [U_4921] :
( ( ( U_4921 = k1_real_1(sK615(U_4925,U_4921))
| U_4921 = sK615(U_4925,U_4921) )
& m2_subset_1(sK615(U_4925,U_4921),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_4921,U_4925) ) )
| U_4925 != k4_numbers ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK616]),skolemize(U_4923,sK616(U_4926))],[f_1792_4]) ).
fof(f_1792_6,plain,
( ! [U_4926] :
( U_4926 = k4_numbers
| ( ~ r2_hidden(sK617(U_4926),U_4926)
& ? [U_4918] :
( ( sK617(U_4926) = k1_real_1(U_4918)
| sK617(U_4926) = U_4918 )
& m2_subset_1(U_4918,k1_numbers,k5_numbers) ) )
| ( ! [U_4917] :
( ( sK616(U_4926) != k1_real_1(U_4917)
& sK616(U_4926) != U_4917 )
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers) )
& r2_hidden(sK616(U_4926),U_4926) ) )
& ! [U_4925] :
( ( ! [U_4922] :
( r2_hidden(U_4922,U_4925)
| ! [U_4915] :
( ( U_4922 != k1_real_1(U_4915)
& U_4922 != U_4915 )
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers) ) )
& ! [U_4921] :
( ( ( U_4921 = k1_real_1(sK615(U_4925,U_4921))
| U_4921 = sK615(U_4925,U_4921) )
& m2_subset_1(sK615(U_4925,U_4921),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_4921,U_4925) ) )
| U_4925 != k4_numbers ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK617]),skolemize(U_4924,sK617(U_4926))],[f_1792_5]) ).
fof(f_1792_7,plain,
( ! [U_4926] :
( U_4926 = k4_numbers
| ( ~ r2_hidden(sK617(U_4926),U_4926)
& ( sK617(U_4926) = k1_real_1(sK618(U_4926))
| sK617(U_4926) = sK618(U_4926) )
& m2_subset_1(sK618(U_4926),k1_numbers,k5_numbers) )
| ( ! [U_4917] :
( ( sK616(U_4926) != k1_real_1(U_4917)
& sK616(U_4926) != U_4917 )
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers) )
& r2_hidden(sK616(U_4926),U_4926) ) )
& ! [U_4925] :
( ( ! [U_4922] :
( r2_hidden(U_4922,U_4925)
| ! [U_4915] :
( ( U_4922 != k1_real_1(U_4915)
& U_4922 != U_4915 )
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers) ) )
& ! [U_4921] :
( ( ( U_4921 = k1_real_1(sK615(U_4925,U_4921))
| U_4921 = sK615(U_4925,U_4921) )
& m2_subset_1(sK615(U_4925,U_4921),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_4921,U_4925) ) )
| U_4925 != k4_numbers ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK618]),skolemize(U_4918,sK618(U_4926))],[f_1792_6]) ).
fof(f_1792_8,plain,
( ! [U_4926] :
( ~ r2_hidden(sK617(U_4926),U_4926)
| ~ sP861(U_4926) )
& ! [U_4926] :
( sK617(U_4926) = k1_real_1(sK618(U_4926))
| sK617(U_4926) = sK618(U_4926)
| ~ sP861(U_4926) )
& ! [U_4926] :
( m2_subset_1(sK618(U_4926),k1_numbers,k5_numbers)
| ~ sP861(U_4926) )
& ! [U_4926,U_4917] :
( sK616(U_4926) != k1_real_1(U_4917)
| ~ sP859(U_4926,U_4917) )
& ! [U_4926,U_4917] :
( sK616(U_4926) != U_4917
| ~ sP859(U_4926,U_4917) )
& ! [U_4926,U_4917] :
( sP859(U_4926,U_4917)
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers)
| ~ sP860(U_4926,U_4917) )
& ! [U_4926,U_4917] :
( r2_hidden(sK616(U_4926),U_4926)
| ~ sP860(U_4926,U_4917) )
& ! [U_4922,U_4915] :
( U_4922 != k1_real_1(U_4915)
| ~ sP857(U_4922,U_4915) )
& ! [U_4922,U_4915] :
( U_4922 != U_4915
| ~ sP857(U_4922,U_4915) )
& ! [U_4921,U_4925] :
( U_4921 = k1_real_1(sK615(U_4925,U_4921))
| U_4921 = sK615(U_4925,U_4921)
| ~ sP856(U_4921,U_4925) )
& ! [U_4921,U_4925] :
( m2_subset_1(sK615(U_4925,U_4921),k1_numbers,k5_numbers)
| ~ sP856(U_4921,U_4925) )
& ! [U_4922,U_4915,U_4921,U_4925] :
( r2_hidden(U_4922,U_4925)
| sP857(U_4922,U_4915)
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers)
| ~ sP858(U_4922,U_4915,U_4921,U_4925) )
& ! [U_4922,U_4915,U_4921,U_4925] :
( sP856(U_4921,U_4925)
| ~ r2_hidden(U_4921,U_4925)
| ~ sP858(U_4922,U_4915,U_4921,U_4925) )
& ! [U_4926,U_4917] :
( U_4926 = k4_numbers
| sP861(U_4926)
| sP860(U_4926,U_4917) )
& ! [U_4922,U_4915,U_4921,U_4925] :
( sP858(U_4922,U_4915,U_4921,U_4925)
| U_4925 != k4_numbers ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP856,sP857,sP858,sP859,sP860,sP861])],[f_1792_7]) ).
cnf(f_1792_9,plain,
( sP858(U_4922,U_4915,U_4921,U_4925)
| U_4925 != k4_numbers ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_10,plain,
( U_4926 = k4_numbers
| sP861(U_4926)
| sP860(U_4926,U_4917) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_11,plain,
( sP856(U_4921,U_4925)
| ~ r2_hidden(U_4921,U_4925)
| ~ sP858(U_4922,U_4915,U_4921,U_4925) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_12,plain,
( r2_hidden(U_4922,U_4925)
| sP857(U_4922,U_4915)
| ~ m2_subset_1(U_4915,k1_numbers,k5_numbers)
| ~ sP858(U_4922,U_4915,U_4921,U_4925) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_13,plain,
( m2_subset_1(sK615(U_4925,U_4921),k1_numbers,k5_numbers)
| ~ sP856(U_4921,U_4925) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_14,plain,
( U_4921 = k1_real_1(sK615(U_4925,U_4921))
| U_4921 = sK615(U_4925,U_4921)
| ~ sP856(U_4921,U_4925) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_15,plain,
( U_4922 != U_4915
| ~ sP857(U_4922,U_4915) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_16,plain,
( U_4922 != k1_real_1(U_4915)
| ~ sP857(U_4922,U_4915) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_17,plain,
( r2_hidden(sK616(U_4926),U_4926)
| ~ sP860(U_4926,U_4917) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_18,plain,
( sP859(U_4926,U_4917)
| ~ m2_subset_1(U_4917,k1_numbers,k5_numbers)
| ~ sP860(U_4926,U_4917) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_19,plain,
( sK616(U_4926) != U_4917
| ~ sP859(U_4926,U_4917) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_20,plain,
( sK616(U_4926) != k1_real_1(U_4917)
| ~ sP859(U_4926,U_4917) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_21,plain,
( m2_subset_1(sK618(U_4926),k1_numbers,k5_numbers)
| ~ sP861(U_4926) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_22,plain,
( sK617(U_4926) = k1_real_1(sK618(U_4926))
| sK617(U_4926) = sK618(U_4926)
| ~ sP861(U_4926) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
cnf(f_1792_23,plain,
( ~ r2_hidden(sK617(U_4926),U_4926)
| ~ sP861(U_4926) ),
inference(clausify,[status(thm)],[f_1792_8]) ).
fof(f_1793_1,plain,
! [A] :
( ( v1_int_1(A)
| ~ r2_hidden(A,k4_numbers) )
& ( r2_hidden(A,k4_numbers)
| ~ v1_int_1(A) ) ),
inference(fof_nnf,[status(thm)],[d2_int_1]) ).
fof(f_1793_2,plain,
! [U_4927] :
( ( v1_int_1(U_4927)
| ~ r2_hidden(U_4927,k4_numbers) )
& ( r2_hidden(U_4927,k4_numbers)
| ~ v1_int_1(U_4927) ) ),
inference(variable_rename,[status(thm)],[f_1793_1]) ).
fof(f_1793_3,plain,
( ! [U_4929] :
( v1_int_1(U_4929)
| ~ r2_hidden(U_4929,k4_numbers) )
& ! [U_4928] :
( r2_hidden(U_4928,k4_numbers)
| ~ v1_int_1(U_4928) ) ),
inference(miniscope,[status(thm)],[f_1793_2]) ).
fof(f_1793_4,plain,
( ! [U_4929] :
( v1_int_1(U_4929)
| ~ r2_hidden(U_4929,k4_numbers) )
& ! [U_4928] :
( r2_hidden(U_4928,k4_numbers)
| ~ v1_int_1(U_4928) ) ),
inference(definitional_conversion,[status(esa)],[f_1793_3]) ).
cnf(f_1793_5,plain,
( r2_hidden(U_4928,k4_numbers)
| ~ v1_int_1(U_4928) ),
inference(clausify,[status(thm)],[f_1793_4]) ).
cnf(f_1793_6,plain,
( v1_int_1(U_4929)
| ~ r2_hidden(U_4929,k4_numbers) ),
inference(clausify,[status(thm)],[f_1793_4]) ).
fof(f_1794_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_int_1]) ).
fof(f_1794_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1794_1]) ).
cnf(f_1794_3,plain,
$true,
inference(clausify,[status(thm)],[f_1794_2]) ).
fof(f_1795_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_int_1]) ).
fof(f_1795_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1795_1]) ).
cnf(f_1795_3,plain,
$true,
inference(clausify,[status(thm)],[f_1795_2]) ).
fof(f_1796_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_int_1]) ).
fof(f_1796_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1796_1]) ).
cnf(f_1796_3,plain,
$true,
inference(clausify,[status(thm)],[f_1796_2]) ).
fof(f_1797_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_int_1]) ).
fof(f_1797_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1797_1]) ).
cnf(f_1797_3,plain,
$true,
inference(clausify,[status(thm)],[f_1797_2]) ).
fof(f_1798_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_int_1]) ).
fof(f_1798_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1798_1]) ).
cnf(f_1798_3,plain,
$true,
inference(clausify,[status(thm)],[f_1798_2]) ).
fof(f_1799_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_int_1]) ).
fof(f_1799_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1799_1]) ).
cnf(f_1799_3,plain,
$true,
inference(clausify,[status(thm)],[f_1799_2]) ).
fof(f_1800_1,plain,
! [A] :
( ! [B] :
( v1_int_1(A)
| ( A != k4_xcmplx_0(B)
& A != B )
| ~ v4_ordinal2(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t7_int_1]) ).
fof(f_1800_2,plain,
! [U_4931] :
( ! [U_4930] :
( v1_int_1(U_4931)
| ( U_4931 != k4_xcmplx_0(U_4930)
& U_4931 != U_4930 )
| ~ v4_ordinal2(U_4930) )
| ~ v1_xreal_0(U_4931) ),
inference(variable_rename,[status(thm)],[f_1800_1]) ).
fof(f_1800_3,plain,
( ! [U_4931,U_4930] :
( U_4931 != k4_xcmplx_0(U_4930)
| ~ sP862(U_4931,U_4930) )
& ! [U_4931,U_4930] :
( U_4931 != U_4930
| ~ sP862(U_4931,U_4930) )
& ! [U_4931,U_4930] :
( v1_int_1(U_4931)
| sP862(U_4931,U_4930)
| ~ v4_ordinal2(U_4930)
| ~ v1_xreal_0(U_4931) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP862])],[f_1800_2]) ).
cnf(f_1800_4,plain,
( v1_int_1(U_4931)
| sP862(U_4931,U_4930)
| ~ v4_ordinal2(U_4930)
| ~ v1_xreal_0(U_4931) ),
inference(clausify,[status(thm)],[f_1800_3]) ).
cnf(f_1800_5,plain,
( U_4931 != U_4930
| ~ sP862(U_4931,U_4930) ),
inference(clausify,[status(thm)],[f_1800_3]) ).
cnf(f_1800_6,plain,
( U_4931 != k4_xcmplx_0(U_4930)
| ~ sP862(U_4931,U_4930) ),
inference(clausify,[status(thm)],[f_1800_3]) ).
fof(f_1801_1,plain,
! [A] :
( ? [B] :
( ( A = k1_real_1(B)
| A = B )
& m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t8_int_1]) ).
fof(f_1801_2,plain,
! [U_4933] :
( ? [U_4932] :
( ( U_4933 = k1_real_1(U_4932)
| U_4933 = U_4932 )
& m2_subset_1(U_4932,k1_numbers,k5_numbers) )
| ~ v1_int_1(U_4933)
| ~ v1_xreal_0(U_4933) ),
inference(variable_rename,[status(thm)],[f_1801_1]) ).
fof(f_1801_3,plain,
! [U_4933] :
( ( ( U_4933 = k1_real_1(sK619(U_4933))
| U_4933 = sK619(U_4933) )
& m2_subset_1(sK619(U_4933),k1_numbers,k5_numbers) )
| ~ v1_int_1(U_4933)
| ~ v1_xreal_0(U_4933) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK619]),skolemize(U_4932,sK619(U_4933))],[f_1801_2]) ).
fof(f_1801_4,plain,
( ! [U_4933] :
( U_4933 = k1_real_1(sK619(U_4933))
| U_4933 = sK619(U_4933)
| ~ sP863(U_4933) )
& ! [U_4933] :
( m2_subset_1(sK619(U_4933),k1_numbers,k5_numbers)
| ~ sP863(U_4933) )
& ! [U_4933] :
( sP863(U_4933)
| ~ v1_int_1(U_4933)
| ~ v1_xreal_0(U_4933) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP863])],[f_1801_3]) ).
cnf(f_1801_5,plain,
( sP863(U_4933)
| ~ v1_int_1(U_4933)
| ~ v1_xreal_0(U_4933) ),
inference(clausify,[status(thm)],[f_1801_4]) ).
cnf(f_1801_6,plain,
( m2_subset_1(sK619(U_4933),k1_numbers,k5_numbers)
| ~ sP863(U_4933) ),
inference(clausify,[status(thm)],[f_1801_4]) ).
cnf(f_1801_7,plain,
( U_4933 = k1_real_1(sK619(U_4933))
| U_4933 = sK619(U_4933)
| ~ sP863(U_4933) ),
inference(clausify,[status(thm)],[f_1801_4]) ).
fof(f_1802_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_int_1]) ).
fof(f_1802_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1802_1]) ).
cnf(f_1802_3,plain,
$true,
inference(clausify,[status(thm)],[f_1802_2]) ).
fof(f_1803_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_int_1]) ).
fof(f_1803_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1803_1]) ).
cnf(f_1803_3,plain,
$true,
inference(clausify,[status(thm)],[f_1803_2]) ).
fof(f_1804_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_int_1]) ).
fof(f_1804_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1804_1]) ).
cnf(f_1804_3,plain,
$true,
inference(clausify,[status(thm)],[f_1804_2]) ).
fof(f_1805_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_int_1]) ).
fof(f_1805_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1805_1]) ).
cnf(f_1805_3,plain,
$true,
inference(clausify,[status(thm)],[f_1805_2]) ).
fof(f_1806_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_int_1]) ).
fof(f_1806_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1806_1]) ).
cnf(f_1806_3,plain,
$true,
inference(clausify,[status(thm)],[f_1806_2]) ).
fof(f_1807_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_int_1]) ).
fof(f_1807_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1807_1]) ).
cnf(f_1807_3,plain,
$true,
inference(clausify,[status(thm)],[f_1807_2]) ).
fof(f_1808_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_int_1]) ).
fof(f_1808_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1808_1]) ).
cnf(f_1808_3,plain,
$true,
inference(clausify,[status(thm)],[f_1808_2]) ).
fof(f_1809_1,plain,
! [A] :
( r2_hidden(A,k5_numbers)
| ~ r1_xreal_0(np__0,A)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t16_int_1]) ).
fof(f_1809_2,plain,
! [U_4934] :
( r2_hidden(U_4934,k5_numbers)
| ~ r1_xreal_0(np__0,U_4934)
| ~ v1_int_1(U_4934) ),
inference(variable_rename,[status(thm)],[f_1809_1]) ).
fof(f_1809_3,plain,
! [U_4934] :
( r2_hidden(U_4934,k5_numbers)
| ~ r1_xreal_0(np__0,U_4934)
| ~ v1_int_1(U_4934) ),
inference(definitional_conversion,[status(esa)],[f_1809_2]) ).
cnf(f_1809_4,plain,
( r2_hidden(U_4934,k5_numbers)
| ~ r1_xreal_0(np__0,U_4934)
| ~ v1_int_1(U_4934) ),
inference(clausify,[status(thm)],[f_1809_3]) ).
fof(f_1810_1,plain,
! [A] :
( ( v1_int_1(k6_xcmplx_0(A,np__1))
& v1_int_1(k2_xcmplx_0(A,np__1)) )
| ~ v1_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t17_int_1]) ).
fof(f_1810_2,plain,
! [U_4935] :
( ( v1_int_1(k6_xcmplx_0(U_4935,np__1))
& v1_int_1(k2_xcmplx_0(U_4935,np__1)) )
| ~ v1_int_1(U_4935)
| ~ v1_xreal_0(U_4935) ),
inference(variable_rename,[status(thm)],[f_1810_1]) ).
fof(f_1810_3,plain,
( ! [U_4935] :
( v1_int_1(k6_xcmplx_0(U_4935,np__1))
| ~ sP864(U_4935) )
& ! [U_4935] :
( v1_int_1(k2_xcmplx_0(U_4935,np__1))
| ~ sP864(U_4935) )
& ! [U_4935] :
( sP864(U_4935)
| ~ v1_int_1(U_4935)
| ~ v1_xreal_0(U_4935) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP864])],[f_1810_2]) ).
cnf(f_1810_4,plain,
( sP864(U_4935)
| ~ v1_int_1(U_4935)
| ~ v1_xreal_0(U_4935) ),
inference(clausify,[status(thm)],[f_1810_3]) ).
cnf(f_1810_5,plain,
( v1_int_1(k2_xcmplx_0(U_4935,np__1))
| ~ sP864(U_4935) ),
inference(clausify,[status(thm)],[f_1810_3]) ).
cnf(f_1810_6,plain,
( v1_int_1(k6_xcmplx_0(U_4935,np__1))
| ~ sP864(U_4935) ),
inference(clausify,[status(thm)],[f_1810_3]) ).
fof(f_1811_1,plain,
! [A] :
( ! [B] :
( r2_hidden(k6_xcmplx_0(B,A),k5_numbers)
| ~ r1_xreal_0(A,B)
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t18_int_1]) ).
fof(f_1811_2,plain,
! [U_4937] :
( ! [U_4936] :
( r2_hidden(k6_xcmplx_0(U_4936,U_4937),k5_numbers)
| ~ r1_xreal_0(U_4937,U_4936)
| ~ v1_int_1(U_4936) )
| ~ v1_int_1(U_4937) ),
inference(variable_rename,[status(thm)],[f_1811_1]) ).
fof(f_1811_3,plain,
! [U_4936,U_4937] :
( r2_hidden(k6_xcmplx_0(U_4936,U_4937),k5_numbers)
| ~ r1_xreal_0(U_4937,U_4936)
| ~ v1_int_1(U_4936)
| ~ v1_int_1(U_4937) ),
inference(definitional_conversion,[status(esa)],[f_1811_2]) ).
cnf(f_1811_4,plain,
( r2_hidden(k6_xcmplx_0(U_4936,U_4937),k5_numbers)
| ~ r1_xreal_0(U_4937,U_4936)
| ~ v1_int_1(U_4936)
| ~ v1_int_1(U_4937) ),
inference(clausify,[status(thm)],[f_1811_3]) ).
fof(f_1812_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_xreal_0(B,C)
| k2_xcmplx_0(B,A) != C
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t19_int_1]) ).
fof(f_1812_2,plain,
! [U_4940] :
( ! [U_4939] :
( ! [U_4938] :
( r1_xreal_0(U_4939,U_4938)
| k2_xcmplx_0(U_4939,U_4940) != U_4938
| ~ v1_int_1(U_4938) )
| ~ v1_int_1(U_4939) )
| ~ m2_subset_1(U_4940,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1812_1]) ).
fof(f_1812_3,plain,
! [U_4939,U_4938,U_4940] :
( r1_xreal_0(U_4939,U_4938)
| k2_xcmplx_0(U_4939,U_4940) != U_4938
| ~ v1_int_1(U_4938)
| ~ v1_int_1(U_4939)
| ~ m2_subset_1(U_4940,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1812_2]) ).
cnf(f_1812_4,plain,
( r1_xreal_0(U_4939,U_4938)
| k2_xcmplx_0(U_4939,U_4940) != U_4938
| ~ v1_int_1(U_4938)
| ~ v1_int_1(U_4939)
| ~ m2_subset_1(U_4940,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1812_3]) ).
fof(f_1813_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(k2_xcmplx_0(A,np__1),B)
| r1_xreal_0(B,A)
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t20_int_1]) ).
fof(f_1813_2,plain,
! [U_4942] :
( ! [U_4941] :
( r1_xreal_0(k2_xcmplx_0(U_4942,np__1),U_4941)
| r1_xreal_0(U_4941,U_4942)
| ~ v1_int_1(U_4941) )
| ~ v1_int_1(U_4942) ),
inference(variable_rename,[status(thm)],[f_1813_1]) ).
fof(f_1813_3,plain,
! [U_4942,U_4941] :
( r1_xreal_0(k2_xcmplx_0(U_4942,np__1),U_4941)
| r1_xreal_0(U_4941,U_4942)
| ~ v1_int_1(U_4941)
| ~ v1_int_1(U_4942) ),
inference(definitional_conversion,[status(esa)],[f_1813_2]) ).
cnf(f_1813_4,plain,
( r1_xreal_0(k2_xcmplx_0(U_4942,np__1),U_4941)
| r1_xreal_0(U_4941,U_4942)
| ~ v1_int_1(U_4941)
| ~ v1_int_1(U_4942) ),
inference(clausify,[status(thm)],[f_1813_3]) ).
fof(f_1814_1,plain,
! [A] :
( r1_xreal_0(A,k1_real_1(np__1))
| r1_xreal_0(np__0,A)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t21_int_1]) ).
fof(f_1814_2,plain,
! [U_4943] :
( r1_xreal_0(U_4943,k1_real_1(np__1))
| r1_xreal_0(np__0,U_4943)
| ~ v1_int_1(U_4943) ),
inference(variable_rename,[status(thm)],[f_1814_1]) ).
fof(f_1814_3,plain,
! [U_4943] :
( r1_xreal_0(U_4943,k1_real_1(np__1))
| r1_xreal_0(np__0,U_4943)
| ~ v1_int_1(U_4943) ),
inference(definitional_conversion,[status(esa)],[f_1814_2]) ).
cnf(f_1814_4,plain,
( r1_xreal_0(U_4943,k1_real_1(np__1))
| r1_xreal_0(np__0,U_4943)
| ~ v1_int_1(U_4943) ),
inference(clausify,[status(thm)],[f_1814_3]) ).
fof(f_1815_1,plain,
! [A] :
( ! [B] :
( ( ( k3_xcmplx_0(A,B) = np__1
| ( ( B != k1_real_1(np__1)
| A != k1_real_1(np__1) )
& ( B != np__1
| A != np__1 ) ) )
& ( ( B = k1_real_1(np__1)
& A = k1_real_1(np__1) )
| ( B = np__1
& A = np__1 )
| k3_xcmplx_0(A,B) != np__1 ) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t22_int_1]) ).
fof(f_1815_2,plain,
! [U_4945] :
( ! [U_4944] :
( ( ( k3_xcmplx_0(U_4945,U_4944) = np__1
| ( ( U_4944 != k1_real_1(np__1)
| U_4945 != k1_real_1(np__1) )
& ( U_4944 != np__1
| U_4945 != np__1 ) ) )
& ( ( U_4944 = k1_real_1(np__1)
& U_4945 = k1_real_1(np__1) )
| ( U_4944 = np__1
& U_4945 = np__1 )
| k3_xcmplx_0(U_4945,U_4944) != np__1 ) )
| ~ v1_int_1(U_4944) )
| ~ v1_int_1(U_4945) ),
inference(variable_rename,[status(thm)],[f_1815_1]) ).
fof(f_1815_3,plain,
( ! [U_4944,U_4945] :
( U_4944 != k1_real_1(np__1)
| U_4945 != k1_real_1(np__1)
| ~ sP867(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( U_4944 != np__1
| U_4945 != np__1
| ~ sP867(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( U_4944 = k1_real_1(np__1)
| ~ sP866(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( U_4945 = k1_real_1(np__1)
| ~ sP866(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( U_4944 = np__1
| ~ sP865(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( U_4945 = np__1
| ~ sP865(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( k3_xcmplx_0(U_4945,U_4944) = np__1
| sP867(U_4944,U_4945)
| ~ sP868(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( sP866(U_4944,U_4945)
| sP865(U_4944,U_4945)
| k3_xcmplx_0(U_4945,U_4944) != np__1
| ~ sP868(U_4944,U_4945) )
& ! [U_4944,U_4945] :
( sP868(U_4944,U_4945)
| ~ v1_int_1(U_4944)
| ~ v1_int_1(U_4945) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP865,sP866,sP867,sP868])],[f_1815_2]) ).
cnf(f_1815_4,plain,
( sP868(U_4944,U_4945)
| ~ v1_int_1(U_4944)
| ~ v1_int_1(U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_5,plain,
( sP866(U_4944,U_4945)
| sP865(U_4944,U_4945)
| k3_xcmplx_0(U_4945,U_4944) != np__1
| ~ sP868(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_6,plain,
( k3_xcmplx_0(U_4945,U_4944) = np__1
| sP867(U_4944,U_4945)
| ~ sP868(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_7,plain,
( U_4945 = np__1
| ~ sP865(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_8,plain,
( U_4944 = np__1
| ~ sP865(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_9,plain,
( U_4945 = k1_real_1(np__1)
| ~ sP866(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_10,plain,
( U_4944 = k1_real_1(np__1)
| ~ sP866(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_11,plain,
( U_4944 != np__1
| U_4945 != np__1
| ~ sP867(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
cnf(f_1815_12,plain,
( U_4944 != k1_real_1(np__1)
| U_4945 != k1_real_1(np__1)
| ~ sP867(U_4944,U_4945) ),
inference(clausify,[status(thm)],[f_1815_3]) ).
fof(f_1816_1,plain,
! [A] :
( ! [B] :
( ( ( k3_xcmplx_0(A,B) = k1_real_1(np__1)
| ( ( B != k1_real_1(np__1)
| A != np__1 )
& ( B != np__1
| A != k1_real_1(np__1) ) ) )
& ( ( B = k1_real_1(np__1)
& A = np__1 )
| ( B = np__1
& A = k1_real_1(np__1) )
| k3_xcmplx_0(A,B) != k1_real_1(np__1) ) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t23_int_1]) ).
fof(f_1816_2,plain,
! [U_4947] :
( ! [U_4946] :
( ( ( k3_xcmplx_0(U_4947,U_4946) = k1_real_1(np__1)
| ( ( U_4946 != k1_real_1(np__1)
| U_4947 != np__1 )
& ( U_4946 != np__1
| U_4947 != k1_real_1(np__1) ) ) )
& ( ( U_4946 = k1_real_1(np__1)
& U_4947 = np__1 )
| ( U_4946 = np__1
& U_4947 = k1_real_1(np__1) )
| k3_xcmplx_0(U_4947,U_4946) != k1_real_1(np__1) ) )
| ~ v1_int_1(U_4946) )
| ~ v1_int_1(U_4947) ),
inference(variable_rename,[status(thm)],[f_1816_1]) ).
fof(f_1816_3,plain,
( ! [U_4947,U_4946] :
( U_4946 != k1_real_1(np__1)
| U_4947 != np__1
| ~ sP871(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( U_4946 != np__1
| U_4947 != k1_real_1(np__1)
| ~ sP871(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( U_4946 = k1_real_1(np__1)
| ~ sP870(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( U_4947 = np__1
| ~ sP870(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( U_4946 = np__1
| ~ sP869(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( U_4947 = k1_real_1(np__1)
| ~ sP869(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( k3_xcmplx_0(U_4947,U_4946) = k1_real_1(np__1)
| sP871(U_4947,U_4946)
| ~ sP872(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( sP870(U_4947,U_4946)
| sP869(U_4947,U_4946)
| k3_xcmplx_0(U_4947,U_4946) != k1_real_1(np__1)
| ~ sP872(U_4947,U_4946) )
& ! [U_4947,U_4946] :
( sP872(U_4947,U_4946)
| ~ v1_int_1(U_4946)
| ~ v1_int_1(U_4947) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP869,sP870,sP871,sP872])],[f_1816_2]) ).
cnf(f_1816_4,plain,
( sP872(U_4947,U_4946)
| ~ v1_int_1(U_4946)
| ~ v1_int_1(U_4947) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_5,plain,
( sP870(U_4947,U_4946)
| sP869(U_4947,U_4946)
| k3_xcmplx_0(U_4947,U_4946) != k1_real_1(np__1)
| ~ sP872(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_6,plain,
( k3_xcmplx_0(U_4947,U_4946) = k1_real_1(np__1)
| sP871(U_4947,U_4946)
| ~ sP872(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_7,plain,
( U_4947 = k1_real_1(np__1)
| ~ sP869(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_8,plain,
( U_4946 = np__1
| ~ sP869(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_9,plain,
( U_4947 = np__1
| ~ sP870(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_10,plain,
( U_4946 = k1_real_1(np__1)
| ~ sP870(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_11,plain,
( U_4946 != np__1
| U_4947 != k1_real_1(np__1)
| ~ sP871(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
cnf(f_1816_12,plain,
( U_4946 != k1_real_1(np__1)
| U_4947 != np__1
| ~ sP871(U_4947,U_4946) ),
inference(clausify,[status(thm)],[f_1816_3]) ).
fof(f_1817_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r1_int_1(A,B,C)
| ! [D] :
( k3_xcmplx_0(C,D) != k6_xcmplx_0(A,B)
| ~ v1_int_1(D) ) )
& ( ? [D] :
( k3_xcmplx_0(C,D) = k6_xcmplx_0(A,B)
& v1_int_1(D) )
| ~ r1_int_1(A,B,C) ) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[d3_int_1]) ).
fof(f_1817_2,plain,
! [U_4952] :
( ! [U_4951] :
( ! [U_4950] :
( ( ( r1_int_1(U_4952,U_4951,U_4950)
| ! [U_4949] :
( k3_xcmplx_0(U_4950,U_4949) != k6_xcmplx_0(U_4952,U_4951)
| ~ v1_int_1(U_4949) ) )
& ( ? [U_4948] :
( k3_xcmplx_0(U_4950,U_4948) = k6_xcmplx_0(U_4952,U_4951)
& v1_int_1(U_4948) )
| ~ r1_int_1(U_4952,U_4951,U_4950) ) )
| ~ v1_int_1(U_4950) )
| ~ v1_int_1(U_4951) )
| ~ v1_int_1(U_4952) ),
inference(variable_rename,[status(thm)],[f_1817_1]) ).
fof(f_1817_3,plain,
! [U_4952] :
( ! [U_4951] :
( ! [U_4950] :
( ( ( r1_int_1(U_4952,U_4951,U_4950)
| ! [U_4949] :
( k3_xcmplx_0(U_4950,U_4949) != k6_xcmplx_0(U_4952,U_4951)
| ~ v1_int_1(U_4949) ) )
& ( ( k3_xcmplx_0(U_4950,sK620(U_4952,U_4951,U_4950)) = k6_xcmplx_0(U_4952,U_4951)
& v1_int_1(sK620(U_4952,U_4951,U_4950)) )
| ~ r1_int_1(U_4952,U_4951,U_4950) ) )
| ~ v1_int_1(U_4950) )
| ~ v1_int_1(U_4951) )
| ~ v1_int_1(U_4952) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK620]),skolemize(U_4948,sK620(U_4952,U_4951,U_4950))],[f_1817_2]) ).
fof(f_1817_4,plain,
( ! [U_4951,U_4950,U_4952] :
( k3_xcmplx_0(U_4950,sK620(U_4952,U_4951,U_4950)) = k6_xcmplx_0(U_4952,U_4951)
| ~ sP873(U_4951,U_4950,U_4952) )
& ! [U_4951,U_4950,U_4952] :
( v1_int_1(sK620(U_4952,U_4951,U_4950))
| ~ sP873(U_4951,U_4950,U_4952) )
& ! [U_4951,U_4949,U_4950,U_4952] :
( r1_int_1(U_4952,U_4951,U_4950)
| k3_xcmplx_0(U_4950,U_4949) != k6_xcmplx_0(U_4952,U_4951)
| ~ v1_int_1(U_4949)
| ~ sP874(U_4951,U_4949,U_4950,U_4952) )
& ! [U_4951,U_4949,U_4950,U_4952] :
( sP873(U_4951,U_4950,U_4952)
| ~ r1_int_1(U_4952,U_4951,U_4950)
| ~ sP874(U_4951,U_4949,U_4950,U_4952) )
& ! [U_4951,U_4949,U_4950,U_4952] :
( sP874(U_4951,U_4949,U_4950,U_4952)
| ~ v1_int_1(U_4950)
| ~ v1_int_1(U_4951)
| ~ v1_int_1(U_4952) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP873,sP874])],[f_1817_3]) ).
cnf(f_1817_5,plain,
( sP874(U_4951,U_4949,U_4950,U_4952)
| ~ v1_int_1(U_4950)
| ~ v1_int_1(U_4951)
| ~ v1_int_1(U_4952) ),
inference(clausify,[status(thm)],[f_1817_4]) ).
cnf(f_1817_6,plain,
( sP873(U_4951,U_4950,U_4952)
| ~ r1_int_1(U_4952,U_4951,U_4950)
| ~ sP874(U_4951,U_4949,U_4950,U_4952) ),
inference(clausify,[status(thm)],[f_1817_4]) ).
cnf(f_1817_7,plain,
( r1_int_1(U_4952,U_4951,U_4950)
| k3_xcmplx_0(U_4950,U_4949) != k6_xcmplx_0(U_4952,U_4951)
| ~ v1_int_1(U_4949)
| ~ sP874(U_4951,U_4949,U_4950,U_4952) ),
inference(clausify,[status(thm)],[f_1817_4]) ).
cnf(f_1817_8,plain,
( v1_int_1(sK620(U_4952,U_4951,U_4950))
| ~ sP873(U_4951,U_4950,U_4952) ),
inference(clausify,[status(thm)],[f_1817_4]) ).
cnf(f_1817_9,plain,
( k3_xcmplx_0(U_4950,sK620(U_4952,U_4951,U_4950)) = k6_xcmplx_0(U_4952,U_4951)
| ~ sP873(U_4951,U_4950,U_4952) ),
inference(clausify,[status(thm)],[f_1817_4]) ).
fof(f_1818_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_int_1]) ).
fof(f_1818_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1818_1]) ).
cnf(f_1818_3,plain,
$true,
inference(clausify,[status(thm)],[f_1818_2]) ).
fof(f_1819_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t25_int_1]) ).
fof(f_1819_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1819_1]) ).
cnf(f_1819_3,plain,
$true,
inference(clausify,[status(thm)],[f_1819_2]) ).
fof(f_1820_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_int_1]) ).
fof(f_1820_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1820_1]) ).
cnf(f_1820_3,plain,
$true,
inference(clausify,[status(thm)],[f_1820_2]) ).
fof(f_1821_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_int_1]) ).
fof(f_1821_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1821_1]) ).
cnf(f_1821_3,plain,
$true,
inference(clausify,[status(thm)],[f_1821_2]) ).
fof(f_1822_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_int_1]) ).
fof(f_1822_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1822_1]) ).
cnf(f_1822_3,plain,
$true,
inference(clausify,[status(thm)],[f_1822_2]) ).
fof(f_1823_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_int_1]) ).
fof(f_1823_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1823_1]) ).
cnf(f_1823_3,plain,
$true,
inference(clausify,[status(thm)],[f_1823_2]) ).
fof(f_1824_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_int_1]) ).
fof(f_1824_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1824_1]) ).
cnf(f_1824_3,plain,
$true,
inference(clausify,[status(thm)],[f_1824_2]) ).
fof(f_1825_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_int_1]) ).
fof(f_1825_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1825_1]) ).
cnf(f_1825_3,plain,
$true,
inference(clausify,[status(thm)],[f_1825_2]) ).
fof(f_1826_1,plain,
! [A] :
( ! [B] :
( r1_int_1(A,A,B)
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t32_int_1]) ).
fof(f_1826_2,plain,
! [U_4954] :
( ! [U_4953] :
( r1_int_1(U_4954,U_4954,U_4953)
| ~ v1_int_1(U_4953) )
| ~ v1_int_1(U_4954) ),
inference(variable_rename,[status(thm)],[f_1826_1]) ).
fof(f_1826_3,plain,
! [U_4954,U_4953] :
( r1_int_1(U_4954,U_4954,U_4953)
| ~ v1_int_1(U_4953)
| ~ v1_int_1(U_4954) ),
inference(definitional_conversion,[status(esa)],[f_1826_2]) ).
cnf(f_1826_4,plain,
( r1_int_1(U_4954,U_4954,U_4953)
| ~ v1_int_1(U_4953)
| ~ v1_int_1(U_4954) ),
inference(clausify,[status(thm)],[f_1826_3]) ).
fof(f_1827_1,plain,
! [A] :
( ( r1_int_1(np__0,A,A)
& r1_int_1(A,np__0,A) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t33_int_1]) ).
fof(f_1827_2,plain,
! [U_4955] :
( ( r1_int_1(np__0,U_4955,U_4955)
& r1_int_1(U_4955,np__0,U_4955) )
| ~ v1_int_1(U_4955) ),
inference(variable_rename,[status(thm)],[f_1827_1]) ).
fof(f_1827_3,plain,
( ! [U_4955] :
( r1_int_1(np__0,U_4955,U_4955)
| ~ sP875(U_4955) )
& ! [U_4955] :
( r1_int_1(U_4955,np__0,U_4955)
| ~ sP875(U_4955) )
& ! [U_4955] :
( sP875(U_4955)
| ~ v1_int_1(U_4955) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP875])],[f_1827_2]) ).
cnf(f_1827_4,plain,
( sP875(U_4955)
| ~ v1_int_1(U_4955) ),
inference(clausify,[status(thm)],[f_1827_3]) ).
cnf(f_1827_5,plain,
( r1_int_1(U_4955,np__0,U_4955)
| ~ sP875(U_4955) ),
inference(clausify,[status(thm)],[f_1827_3]) ).
cnf(f_1827_6,plain,
( r1_int_1(np__0,U_4955,U_4955)
| ~ sP875(U_4955) ),
inference(clausify,[status(thm)],[f_1827_3]) ).
fof(f_1828_1,plain,
! [A] :
( ! [B] :
( r1_int_1(A,B,np__1)
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t34_int_1]) ).
fof(f_1828_2,plain,
! [U_4957] :
( ! [U_4956] :
( r1_int_1(U_4957,U_4956,np__1)
| ~ v1_int_1(U_4956) )
| ~ v1_int_1(U_4957) ),
inference(variable_rename,[status(thm)],[f_1828_1]) ).
fof(f_1828_3,plain,
! [U_4956,U_4957] :
( r1_int_1(U_4957,U_4956,np__1)
| ~ v1_int_1(U_4956)
| ~ v1_int_1(U_4957) ),
inference(definitional_conversion,[status(esa)],[f_1828_2]) ).
cnf(f_1828_4,plain,
( r1_int_1(U_4957,U_4956,np__1)
| ~ v1_int_1(U_4956)
| ~ v1_int_1(U_4957) ),
inference(clausify,[status(thm)],[f_1828_3]) ).
fof(f_1829_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_int_1(B,A,C)
| ~ r1_int_1(A,B,C)
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t35_int_1]) ).
fof(f_1829_2,plain,
! [U_4960] :
( ! [U_4959] :
( ! [U_4958] :
( r1_int_1(U_4959,U_4960,U_4958)
| ~ r1_int_1(U_4960,U_4959,U_4958)
| ~ v1_int_1(U_4958) )
| ~ v1_int_1(U_4959) )
| ~ v1_int_1(U_4960) ),
inference(variable_rename,[status(thm)],[f_1829_1]) ).
fof(f_1829_3,plain,
! [U_4958,U_4959,U_4960] :
( r1_int_1(U_4959,U_4960,U_4958)
| ~ r1_int_1(U_4960,U_4959,U_4958)
| ~ v1_int_1(U_4958)
| ~ v1_int_1(U_4959)
| ~ v1_int_1(U_4960) ),
inference(definitional_conversion,[status(esa)],[f_1829_2]) ).
cnf(f_1829_4,plain,
( r1_int_1(U_4959,U_4960,U_4958)
| ~ r1_int_1(U_4960,U_4959,U_4958)
| ~ v1_int_1(U_4958)
| ~ v1_int_1(U_4959)
| ~ v1_int_1(U_4960) ),
inference(clausify,[status(thm)],[f_1829_3]) ).
fof(f_1830_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_int_1(A,D,C)
| ~ r1_int_1(B,D,C)
| ~ r1_int_1(A,B,C)
| ~ v1_int_1(D) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t36_int_1]) ).
fof(f_1830_2,plain,
! [U_4964] :
( ! [U_4963] :
( ! [U_4962] :
( ! [U_4961] :
( r1_int_1(U_4964,U_4961,U_4962)
| ~ r1_int_1(U_4963,U_4961,U_4962)
| ~ r1_int_1(U_4964,U_4963,U_4962)
| ~ v1_int_1(U_4961) )
| ~ v1_int_1(U_4962) )
| ~ v1_int_1(U_4963) )
| ~ v1_int_1(U_4964) ),
inference(variable_rename,[status(thm)],[f_1830_1]) ).
fof(f_1830_3,plain,
! [U_4961,U_4963,U_4962,U_4964] :
( r1_int_1(U_4964,U_4961,U_4962)
| ~ r1_int_1(U_4963,U_4961,U_4962)
| ~ r1_int_1(U_4964,U_4963,U_4962)
| ~ v1_int_1(U_4961)
| ~ v1_int_1(U_4962)
| ~ v1_int_1(U_4963)
| ~ v1_int_1(U_4964) ),
inference(definitional_conversion,[status(esa)],[f_1830_2]) ).
cnf(f_1830_4,plain,
( r1_int_1(U_4964,U_4961,U_4962)
| ~ r1_int_1(U_4963,U_4961,U_4962)
| ~ r1_int_1(U_4964,U_4963,U_4962)
| ~ v1_int_1(U_4961)
| ~ v1_int_1(U_4962)
| ~ v1_int_1(U_4963)
| ~ v1_int_1(U_4964) ),
inference(clausify,[status(thm)],[f_1830_3]) ).
fof(f_1831_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_int_1(k2_xcmplx_0(A,D),k2_xcmplx_0(B,E),C)
| ~ r1_int_1(D,E,C)
| ~ r1_int_1(A,B,C)
| ~ v1_int_1(E) )
| ~ v1_int_1(D) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t37_int_1]) ).
fof(f_1831_2,plain,
! [U_4969] :
( ! [U_4968] :
( ! [U_4967] :
( ! [U_4966] :
( ! [U_4965] :
( r1_int_1(k2_xcmplx_0(U_4969,U_4966),k2_xcmplx_0(U_4968,U_4965),U_4967)
| ~ r1_int_1(U_4966,U_4965,U_4967)
| ~ r1_int_1(U_4969,U_4968,U_4967)
| ~ v1_int_1(U_4965) )
| ~ v1_int_1(U_4966) )
| ~ v1_int_1(U_4967) )
| ~ v1_int_1(U_4968) )
| ~ v1_int_1(U_4969) ),
inference(variable_rename,[status(thm)],[f_1831_1]) ).
fof(f_1831_3,plain,
! [U_4967,U_4969,U_4965,U_4966,U_4968] :
( r1_int_1(k2_xcmplx_0(U_4969,U_4966),k2_xcmplx_0(U_4968,U_4965),U_4967)
| ~ r1_int_1(U_4966,U_4965,U_4967)
| ~ r1_int_1(U_4969,U_4968,U_4967)
| ~ v1_int_1(U_4965)
| ~ v1_int_1(U_4966)
| ~ v1_int_1(U_4967)
| ~ v1_int_1(U_4968)
| ~ v1_int_1(U_4969) ),
inference(definitional_conversion,[status(esa)],[f_1831_2]) ).
cnf(f_1831_4,plain,
( r1_int_1(k2_xcmplx_0(U_4969,U_4966),k2_xcmplx_0(U_4968,U_4965),U_4967)
| ~ r1_int_1(U_4966,U_4965,U_4967)
| ~ r1_int_1(U_4969,U_4968,U_4967)
| ~ v1_int_1(U_4965)
| ~ v1_int_1(U_4966)
| ~ v1_int_1(U_4967)
| ~ v1_int_1(U_4968)
| ~ v1_int_1(U_4969) ),
inference(clausify,[status(thm)],[f_1831_3]) ).
fof(f_1832_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_int_1(k6_xcmplx_0(A,D),k6_xcmplx_0(B,E),C)
| ~ r1_int_1(D,E,C)
| ~ r1_int_1(A,B,C)
| ~ v1_int_1(E) )
| ~ v1_int_1(D) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t38_int_1]) ).
fof(f_1832_2,plain,
! [U_4974] :
( ! [U_4973] :
( ! [U_4972] :
( ! [U_4971] :
( ! [U_4970] :
( r1_int_1(k6_xcmplx_0(U_4974,U_4971),k6_xcmplx_0(U_4973,U_4970),U_4972)
| ~ r1_int_1(U_4971,U_4970,U_4972)
| ~ r1_int_1(U_4974,U_4973,U_4972)
| ~ v1_int_1(U_4970) )
| ~ v1_int_1(U_4971) )
| ~ v1_int_1(U_4972) )
| ~ v1_int_1(U_4973) )
| ~ v1_int_1(U_4974) ),
inference(variable_rename,[status(thm)],[f_1832_1]) ).
fof(f_1832_3,plain,
! [U_4974,U_4970,U_4971,U_4973,U_4972] :
( r1_int_1(k6_xcmplx_0(U_4974,U_4971),k6_xcmplx_0(U_4973,U_4970),U_4972)
| ~ r1_int_1(U_4971,U_4970,U_4972)
| ~ r1_int_1(U_4974,U_4973,U_4972)
| ~ v1_int_1(U_4970)
| ~ v1_int_1(U_4971)
| ~ v1_int_1(U_4972)
| ~ v1_int_1(U_4973)
| ~ v1_int_1(U_4974) ),
inference(definitional_conversion,[status(esa)],[f_1832_2]) ).
cnf(f_1832_4,plain,
( r1_int_1(k6_xcmplx_0(U_4974,U_4971),k6_xcmplx_0(U_4973,U_4970),U_4972)
| ~ r1_int_1(U_4971,U_4970,U_4972)
| ~ r1_int_1(U_4974,U_4973,U_4972)
| ~ v1_int_1(U_4970)
| ~ v1_int_1(U_4971)
| ~ v1_int_1(U_4972)
| ~ v1_int_1(U_4973)
| ~ v1_int_1(U_4974) ),
inference(clausify,[status(thm)],[f_1832_3]) ).
fof(f_1833_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_int_1(k3_xcmplx_0(A,D),k3_xcmplx_0(B,E),C)
| ~ r1_int_1(D,E,C)
| ~ r1_int_1(A,B,C)
| ~ v1_int_1(E) )
| ~ v1_int_1(D) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t39_int_1]) ).
fof(f_1833_2,plain,
! [U_4979] :
( ! [U_4978] :
( ! [U_4977] :
( ! [U_4976] :
( ! [U_4975] :
( r1_int_1(k3_xcmplx_0(U_4979,U_4976),k3_xcmplx_0(U_4978,U_4975),U_4977)
| ~ r1_int_1(U_4976,U_4975,U_4977)
| ~ r1_int_1(U_4979,U_4978,U_4977)
| ~ v1_int_1(U_4975) )
| ~ v1_int_1(U_4976) )
| ~ v1_int_1(U_4977) )
| ~ v1_int_1(U_4978) )
| ~ v1_int_1(U_4979) ),
inference(variable_rename,[status(thm)],[f_1833_1]) ).
fof(f_1833_3,plain,
! [U_4977,U_4979,U_4975,U_4976,U_4978] :
( r1_int_1(k3_xcmplx_0(U_4979,U_4976),k3_xcmplx_0(U_4978,U_4975),U_4977)
| ~ r1_int_1(U_4976,U_4975,U_4977)
| ~ r1_int_1(U_4979,U_4978,U_4977)
| ~ v1_int_1(U_4975)
| ~ v1_int_1(U_4976)
| ~ v1_int_1(U_4977)
| ~ v1_int_1(U_4978)
| ~ v1_int_1(U_4979) ),
inference(definitional_conversion,[status(esa)],[f_1833_2]) ).
cnf(f_1833_4,plain,
( r1_int_1(k3_xcmplx_0(U_4979,U_4976),k3_xcmplx_0(U_4978,U_4975),U_4977)
| ~ r1_int_1(U_4976,U_4975,U_4977)
| ~ r1_int_1(U_4979,U_4978,U_4977)
| ~ v1_int_1(U_4975)
| ~ v1_int_1(U_4976)
| ~ v1_int_1(U_4977)
| ~ v1_int_1(U_4978)
| ~ v1_int_1(U_4979) ),
inference(clausify,[status(thm)],[f_1833_3]) ).
fof(f_1834_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_int_1(k2_xcmplx_0(A,B),C,D)
| ~ r1_int_1(A,k6_xcmplx_0(C,B),D) )
& ( r1_int_1(A,k6_xcmplx_0(C,B),D)
| ~ r1_int_1(k2_xcmplx_0(A,B),C,D) ) )
| ~ v1_int_1(D) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t40_int_1]) ).
fof(f_1834_2,plain,
! [U_4983] :
( ! [U_4982] :
( ! [U_4981] :
( ! [U_4980] :
( ( ( r1_int_1(k2_xcmplx_0(U_4983,U_4982),U_4981,U_4980)
| ~ r1_int_1(U_4983,k6_xcmplx_0(U_4981,U_4982),U_4980) )
& ( r1_int_1(U_4983,k6_xcmplx_0(U_4981,U_4982),U_4980)
| ~ r1_int_1(k2_xcmplx_0(U_4983,U_4982),U_4981,U_4980) ) )
| ~ v1_int_1(U_4980) )
| ~ v1_int_1(U_4981) )
| ~ v1_int_1(U_4982) )
| ~ v1_int_1(U_4983) ),
inference(variable_rename,[status(thm)],[f_1834_1]) ).
fof(f_1834_3,plain,
( ! [U_4981,U_4983,U_4980,U_4982] :
( r1_int_1(k2_xcmplx_0(U_4983,U_4982),U_4981,U_4980)
| ~ r1_int_1(U_4983,k6_xcmplx_0(U_4981,U_4982),U_4980)
| ~ sP876(U_4981,U_4983,U_4980,U_4982) )
& ! [U_4981,U_4983,U_4980,U_4982] :
( r1_int_1(U_4983,k6_xcmplx_0(U_4981,U_4982),U_4980)
| ~ r1_int_1(k2_xcmplx_0(U_4983,U_4982),U_4981,U_4980)
| ~ sP876(U_4981,U_4983,U_4980,U_4982) )
& ! [U_4981,U_4983,U_4980,U_4982] :
( sP876(U_4981,U_4983,U_4980,U_4982)
| ~ v1_int_1(U_4980)
| ~ v1_int_1(U_4981)
| ~ v1_int_1(U_4982)
| ~ v1_int_1(U_4983) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP876])],[f_1834_2]) ).
cnf(f_1834_4,plain,
( sP876(U_4981,U_4983,U_4980,U_4982)
| ~ v1_int_1(U_4980)
| ~ v1_int_1(U_4981)
| ~ v1_int_1(U_4982)
| ~ v1_int_1(U_4983) ),
inference(clausify,[status(thm)],[f_1834_3]) ).
cnf(f_1834_5,plain,
( r1_int_1(U_4983,k6_xcmplx_0(U_4981,U_4982),U_4980)
| ~ r1_int_1(k2_xcmplx_0(U_4983,U_4982),U_4981,U_4980)
| ~ sP876(U_4981,U_4983,U_4980,U_4982) ),
inference(clausify,[status(thm)],[f_1834_3]) ).
cnf(f_1834_6,plain,
( r1_int_1(k2_xcmplx_0(U_4983,U_4982),U_4981,U_4980)
| ~ r1_int_1(U_4983,k6_xcmplx_0(U_4981,U_4982),U_4980)
| ~ sP876(U_4981,U_4983,U_4980,U_4982) ),
inference(clausify,[status(thm)],[f_1834_3]) ).
fof(f_1835_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_int_1(D,E,A)
| ~ r1_int_1(D,E,C)
| k3_xcmplx_0(A,B) != C
| ~ v1_int_1(E) )
| ~ v1_int_1(D) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t41_int_1]) ).
fof(f_1835_2,plain,
! [U_4988] :
( ! [U_4987] :
( ! [U_4986] :
( ! [U_4985] :
( ! [U_4984] :
( r1_int_1(U_4985,U_4984,U_4988)
| ~ r1_int_1(U_4985,U_4984,U_4986)
| k3_xcmplx_0(U_4988,U_4987) != U_4986
| ~ v1_int_1(U_4984) )
| ~ v1_int_1(U_4985) )
| ~ v1_int_1(U_4986) )
| ~ v1_int_1(U_4987) )
| ~ v1_int_1(U_4988) ),
inference(variable_rename,[status(thm)],[f_1835_1]) ).
fof(f_1835_3,plain,
! [U_4984,U_4988,U_4986,U_4985,U_4987] :
( r1_int_1(U_4985,U_4984,U_4988)
| ~ r1_int_1(U_4985,U_4984,U_4986)
| k3_xcmplx_0(U_4988,U_4987) != U_4986
| ~ v1_int_1(U_4984)
| ~ v1_int_1(U_4985)
| ~ v1_int_1(U_4986)
| ~ v1_int_1(U_4987)
| ~ v1_int_1(U_4988) ),
inference(definitional_conversion,[status(esa)],[f_1835_2]) ).
cnf(f_1835_4,plain,
( r1_int_1(U_4985,U_4984,U_4988)
| ~ r1_int_1(U_4985,U_4984,U_4986)
| k3_xcmplx_0(U_4988,U_4987) != U_4986
| ~ v1_int_1(U_4984)
| ~ v1_int_1(U_4985)
| ~ v1_int_1(U_4986)
| ~ v1_int_1(U_4987)
| ~ v1_int_1(U_4988) ),
inference(clausify,[status(thm)],[f_1835_3]) ).
fof(f_1836_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r1_int_1(A,B,C)
| ~ r1_int_1(k2_xcmplx_0(A,C),B,C) )
& ( r1_int_1(k2_xcmplx_0(A,C),B,C)
| ~ r1_int_1(A,B,C) ) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t42_int_1]) ).
fof(f_1836_2,plain,
! [U_4991] :
( ! [U_4990] :
( ! [U_4989] :
( ( ( r1_int_1(U_4991,U_4990,U_4989)
| ~ r1_int_1(k2_xcmplx_0(U_4991,U_4989),U_4990,U_4989) )
& ( r1_int_1(k2_xcmplx_0(U_4991,U_4989),U_4990,U_4989)
| ~ r1_int_1(U_4991,U_4990,U_4989) ) )
| ~ v1_int_1(U_4989) )
| ~ v1_int_1(U_4990) )
| ~ v1_int_1(U_4991) ),
inference(variable_rename,[status(thm)],[f_1836_1]) ).
fof(f_1836_3,plain,
( ! [U_4990,U_4991,U_4989] :
( r1_int_1(U_4991,U_4990,U_4989)
| ~ r1_int_1(k2_xcmplx_0(U_4991,U_4989),U_4990,U_4989)
| ~ sP877(U_4990,U_4991,U_4989) )
& ! [U_4990,U_4991,U_4989] :
( r1_int_1(k2_xcmplx_0(U_4991,U_4989),U_4990,U_4989)
| ~ r1_int_1(U_4991,U_4990,U_4989)
| ~ sP877(U_4990,U_4991,U_4989) )
& ! [U_4990,U_4991,U_4989] :
( sP877(U_4990,U_4991,U_4989)
| ~ v1_int_1(U_4989)
| ~ v1_int_1(U_4990)
| ~ v1_int_1(U_4991) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP877])],[f_1836_2]) ).
cnf(f_1836_4,plain,
( sP877(U_4990,U_4991,U_4989)
| ~ v1_int_1(U_4989)
| ~ v1_int_1(U_4990)
| ~ v1_int_1(U_4991) ),
inference(clausify,[status(thm)],[f_1836_3]) ).
cnf(f_1836_5,plain,
( r1_int_1(k2_xcmplx_0(U_4991,U_4989),U_4990,U_4989)
| ~ r1_int_1(U_4991,U_4990,U_4989)
| ~ sP877(U_4990,U_4991,U_4989) ),
inference(clausify,[status(thm)],[f_1836_3]) ).
cnf(f_1836_6,plain,
( r1_int_1(U_4991,U_4990,U_4989)
| ~ r1_int_1(k2_xcmplx_0(U_4991,U_4989),U_4990,U_4989)
| ~ sP877(U_4990,U_4991,U_4989) ),
inference(clausify,[status(thm)],[f_1836_3]) ).
fof(f_1837_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r1_int_1(A,B,C)
| ~ r1_int_1(k6_xcmplx_0(A,C),B,C) )
& ( r1_int_1(k6_xcmplx_0(A,C),B,C)
| ~ r1_int_1(A,B,C) ) )
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t43_int_1]) ).
fof(f_1837_2,plain,
! [U_4994] :
( ! [U_4993] :
( ! [U_4992] :
( ( ( r1_int_1(U_4994,U_4993,U_4992)
| ~ r1_int_1(k6_xcmplx_0(U_4994,U_4992),U_4993,U_4992) )
& ( r1_int_1(k6_xcmplx_0(U_4994,U_4992),U_4993,U_4992)
| ~ r1_int_1(U_4994,U_4993,U_4992) ) )
| ~ v1_int_1(U_4992) )
| ~ v1_int_1(U_4993) )
| ~ v1_int_1(U_4994) ),
inference(variable_rename,[status(thm)],[f_1837_1]) ).
fof(f_1837_3,plain,
( ! [U_4993,U_4992,U_4994] :
( r1_int_1(U_4994,U_4993,U_4992)
| ~ r1_int_1(k6_xcmplx_0(U_4994,U_4992),U_4993,U_4992)
| ~ sP878(U_4993,U_4992,U_4994) )
& ! [U_4993,U_4992,U_4994] :
( r1_int_1(k6_xcmplx_0(U_4994,U_4992),U_4993,U_4992)
| ~ r1_int_1(U_4994,U_4993,U_4992)
| ~ sP878(U_4993,U_4992,U_4994) )
& ! [U_4993,U_4992,U_4994] :
( sP878(U_4993,U_4992,U_4994)
| ~ v1_int_1(U_4992)
| ~ v1_int_1(U_4993)
| ~ v1_int_1(U_4994) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP878])],[f_1837_2]) ).
cnf(f_1837_4,plain,
( sP878(U_4993,U_4992,U_4994)
| ~ v1_int_1(U_4992)
| ~ v1_int_1(U_4993)
| ~ v1_int_1(U_4994) ),
inference(clausify,[status(thm)],[f_1837_3]) ).
cnf(f_1837_5,plain,
( r1_int_1(k6_xcmplx_0(U_4994,U_4992),U_4993,U_4992)
| ~ r1_int_1(U_4994,U_4993,U_4992)
| ~ sP878(U_4993,U_4992,U_4994) ),
inference(clausify,[status(thm)],[f_1837_3]) ).
cnf(f_1837_6,plain,
( r1_int_1(U_4994,U_4993,U_4992)
| ~ r1_int_1(k6_xcmplx_0(U_4994,U_4992),U_4993,U_4992)
| ~ sP878(U_4993,U_4992,U_4994) ),
inference(clausify,[status(thm)],[f_1837_3]) ).
fof(f_1838_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| r1_xreal_0(C,k6_xcmplx_0(A,np__1))
| r1_xreal_0(B,k6_xcmplx_0(A,np__1))
| ~ r1_xreal_0(C,A)
| ~ r1_xreal_0(B,A)
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t44_int_1]) ).
fof(f_1838_2,plain,
! [U_4997] :
( ! [U_4996] :
( ! [U_4995] :
( U_4996 = U_4995
| r1_xreal_0(U_4995,k6_xcmplx_0(U_4997,np__1))
| r1_xreal_0(U_4996,k6_xcmplx_0(U_4997,np__1))
| ~ r1_xreal_0(U_4995,U_4997)
| ~ r1_xreal_0(U_4996,U_4997)
| ~ v1_int_1(U_4995) )
| ~ v1_int_1(U_4996) )
| ~ v1_xreal_0(U_4997) ),
inference(variable_rename,[status(thm)],[f_1838_1]) ).
fof(f_1838_3,plain,
! [U_4997,U_4995,U_4996] :
( U_4996 = U_4995
| r1_xreal_0(U_4995,k6_xcmplx_0(U_4997,np__1))
| r1_xreal_0(U_4996,k6_xcmplx_0(U_4997,np__1))
| ~ r1_xreal_0(U_4995,U_4997)
| ~ r1_xreal_0(U_4996,U_4997)
| ~ v1_int_1(U_4995)
| ~ v1_int_1(U_4996)
| ~ v1_xreal_0(U_4997) ),
inference(definitional_conversion,[status(esa)],[f_1838_2]) ).
cnf(f_1838_4,plain,
( U_4996 = U_4995
| r1_xreal_0(U_4995,k6_xcmplx_0(U_4997,np__1))
| r1_xreal_0(U_4996,k6_xcmplx_0(U_4997,np__1))
| ~ r1_xreal_0(U_4995,U_4997)
| ~ r1_xreal_0(U_4996,U_4997)
| ~ v1_int_1(U_4995)
| ~ v1_int_1(U_4996)
| ~ v1_xreal_0(U_4997) ),
inference(clausify,[status(thm)],[f_1838_3]) ).
fof(f_1839_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| r1_xreal_0(k2_xcmplx_0(A,np__1),C)
| r1_xreal_0(k2_xcmplx_0(A,np__1),B)
| ~ r1_xreal_0(A,C)
| ~ r1_xreal_0(A,B)
| ~ v1_int_1(C) )
| ~ v1_int_1(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t45_int_1]) ).
fof(f_1839_2,plain,
! [U_5000] :
( ! [U_4999] :
( ! [U_4998] :
( U_4999 = U_4998
| r1_xreal_0(k2_xcmplx_0(U_5000,np__1),U_4998)
| r1_xreal_0(k2_xcmplx_0(U_5000,np__1),U_4999)
| ~ r1_xreal_0(U_5000,U_4998)
| ~ r1_xreal_0(U_5000,U_4999)
| ~ v1_int_1(U_4998) )
| ~ v1_int_1(U_4999) )
| ~ v1_xreal_0(U_5000) ),
inference(variable_rename,[status(thm)],[f_1839_1]) ).
fof(f_1839_3,plain,
! [U_4998,U_4999,U_5000] :
( U_4999 = U_4998
| r1_xreal_0(k2_xcmplx_0(U_5000,np__1),U_4998)
| r1_xreal_0(k2_xcmplx_0(U_5000,np__1),U_4999)
| ~ r1_xreal_0(U_5000,U_4998)
| ~ r1_xreal_0(U_5000,U_4999)
| ~ v1_int_1(U_4998)
| ~ v1_int_1(U_4999)
| ~ v1_xreal_0(U_5000) ),
inference(definitional_conversion,[status(esa)],[f_1839_2]) ).
cnf(f_1839_4,plain,
( U_4999 = U_4998
| r1_xreal_0(k2_xcmplx_0(U_5000,np__1),U_4998)
| r1_xreal_0(k2_xcmplx_0(U_5000,np__1),U_4999)
| ~ r1_xreal_0(U_5000,U_4998)
| ~ r1_xreal_0(U_5000,U_4999)
| ~ v1_int_1(U_4998)
| ~ v1_int_1(U_4999)
| ~ v1_xreal_0(U_5000) ),
inference(clausify,[status(thm)],[f_1839_3]) ).
fof(f_1840_1,plain,
! [A] :
( ! [B] :
( ( ( B = k1_int_1(A)
| r1_xreal_0(B,k6_xcmplx_0(A,np__1))
| ~ r1_xreal_0(B,A) )
& ( ( ~ r1_xreal_0(B,k6_xcmplx_0(A,np__1))
& r1_xreal_0(B,A) )
| B != k1_int_1(A) ) )
| ~ v1_int_1(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[d4_int_1]) ).
fof(f_1840_2,plain,
! [U_5002] :
( ! [U_5001] :
( ( ( U_5001 = k1_int_1(U_5002)
| r1_xreal_0(U_5001,k6_xcmplx_0(U_5002,np__1))
| ~ r1_xreal_0(U_5001,U_5002) )
& ( ( ~ r1_xreal_0(U_5001,k6_xcmplx_0(U_5002,np__1))
& r1_xreal_0(U_5001,U_5002) )
| U_5001 != k1_int_1(U_5002) ) )
| ~ v1_int_1(U_5001) )
| ~ v1_xreal_0(U_5002) ),
inference(variable_rename,[status(thm)],[f_1840_1]) ).
fof(f_1840_3,plain,
( ! [U_5002,U_5001] :
( ~ r1_xreal_0(U_5001,k6_xcmplx_0(U_5002,np__1))
| ~ sP879(U_5002,U_5001) )
& ! [U_5002,U_5001] :
( r1_xreal_0(U_5001,U_5002)
| ~ sP879(U_5002,U_5001) )
& ! [U_5002,U_5001] :
( U_5001 = k1_int_1(U_5002)
| r1_xreal_0(U_5001,k6_xcmplx_0(U_5002,np__1))
| ~ r1_xreal_0(U_5001,U_5002)
| ~ sP880(U_5002,U_5001) )
& ! [U_5002,U_5001] :
( sP879(U_5002,U_5001)
| U_5001 != k1_int_1(U_5002)
| ~ sP880(U_5002,U_5001) )
& ! [U_5002,U_5001] :
( sP880(U_5002,U_5001)
| ~ v1_int_1(U_5001)
| ~ v1_xreal_0(U_5002) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP879,sP880])],[f_1840_2]) ).
cnf(f_1840_4,plain,
( sP880(U_5002,U_5001)
| ~ v1_int_1(U_5001)
| ~ v1_xreal_0(U_5002) ),
inference(clausify,[status(thm)],[f_1840_3]) ).
cnf(f_1840_5,plain,
( sP879(U_5002,U_5001)
| U_5001 != k1_int_1(U_5002)
| ~ sP880(U_5002,U_5001) ),
inference(clausify,[status(thm)],[f_1840_3]) ).
cnf(f_1840_6,plain,
( U_5001 = k1_int_1(U_5002)
| r1_xreal_0(U_5001,k6_xcmplx_0(U_5002,np__1))
| ~ r1_xreal_0(U_5001,U_5002)
| ~ sP880(U_5002,U_5001) ),
inference(clausify,[status(thm)],[f_1840_3]) ).
cnf(f_1840_7,plain,
( r1_xreal_0(U_5001,U_5002)
| ~ sP879(U_5002,U_5001) ),
inference(clausify,[status(thm)],[f_1840_3]) ).
cnf(f_1840_8,plain,
( ~ r1_xreal_0(U_5001,k6_xcmplx_0(U_5002,np__1))
| ~ sP879(U_5002,U_5001) ),
inference(clausify,[status(thm)],[f_1840_3]) ).
fof(f_1841_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t46_int_1]) ).
fof(f_1841_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1841_1]) ).
cnf(f_1841_3,plain,
$true,
inference(clausify,[status(thm)],[f_1841_2]) ).
fof(f_1842_1,plain,
! [A] :
( ( ( k1_int_1(A) = A
| ~ v1_int_1(A) )
& ( v1_int_1(A)
| k1_int_1(A) != A ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t47_int_1]) ).
fof(f_1842_2,plain,
! [U_5003] :
( ( ( k1_int_1(U_5003) = U_5003
| ~ v1_int_1(U_5003) )
& ( v1_int_1(U_5003)
| k1_int_1(U_5003) != U_5003 ) )
| ~ v1_xreal_0(U_5003) ),
inference(variable_rename,[status(thm)],[f_1842_1]) ).
fof(f_1842_3,plain,
( ! [U_5003] :
( k1_int_1(U_5003) = U_5003
| ~ v1_int_1(U_5003)
| ~ sP881(U_5003) )
& ! [U_5003] :
( v1_int_1(U_5003)
| k1_int_1(U_5003) != U_5003
| ~ sP881(U_5003) )
& ! [U_5003] :
( sP881(U_5003)
| ~ v1_xreal_0(U_5003) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP881])],[f_1842_2]) ).
cnf(f_1842_4,plain,
( sP881(U_5003)
| ~ v1_xreal_0(U_5003) ),
inference(clausify,[status(thm)],[f_1842_3]) ).
cnf(f_1842_5,plain,
( v1_int_1(U_5003)
| k1_int_1(U_5003) != U_5003
| ~ sP881(U_5003) ),
inference(clausify,[status(thm)],[f_1842_3]) ).
cnf(f_1842_6,plain,
( k1_int_1(U_5003) = U_5003
| ~ v1_int_1(U_5003)
| ~ sP881(U_5003) ),
inference(clausify,[status(thm)],[f_1842_3]) ).
fof(f_1843_1,plain,
! [A] :
( ( ( ~ r1_xreal_0(A,k1_int_1(A))
| v1_int_1(A) )
& ( ~ v1_int_1(A)
| r1_xreal_0(A,k1_int_1(A)) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t48_int_1]) ).
fof(f_1843_2,plain,
! [U_5004] :
( ( ( ~ r1_xreal_0(U_5004,k1_int_1(U_5004))
| v1_int_1(U_5004) )
& ( ~ v1_int_1(U_5004)
| r1_xreal_0(U_5004,k1_int_1(U_5004)) ) )
| ~ v1_xreal_0(U_5004) ),
inference(variable_rename,[status(thm)],[f_1843_1]) ).
fof(f_1843_3,plain,
( ! [U_5004] :
( ~ r1_xreal_0(U_5004,k1_int_1(U_5004))
| v1_int_1(U_5004)
| ~ sP882(U_5004) )
& ! [U_5004] :
( ~ v1_int_1(U_5004)
| r1_xreal_0(U_5004,k1_int_1(U_5004))
| ~ sP882(U_5004) )
& ! [U_5004] :
( sP882(U_5004)
| ~ v1_xreal_0(U_5004) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP882])],[f_1843_2]) ).
cnf(f_1843_4,plain,
( sP882(U_5004)
| ~ v1_xreal_0(U_5004) ),
inference(clausify,[status(thm)],[f_1843_3]) ).
cnf(f_1843_5,plain,
( ~ v1_int_1(U_5004)
| r1_xreal_0(U_5004,k1_int_1(U_5004))
| ~ sP882(U_5004) ),
inference(clausify,[status(thm)],[f_1843_3]) ).
cnf(f_1843_6,plain,
( ~ r1_xreal_0(U_5004,k1_int_1(U_5004))
| v1_int_1(U_5004)
| ~ sP882(U_5004) ),
inference(clausify,[status(thm)],[f_1843_3]) ).
fof(f_1844_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t49_int_1]) ).
fof(f_1844_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1844_1]) ).
cnf(f_1844_3,plain,
$true,
inference(clausify,[status(thm)],[f_1844_2]) ).
fof(f_1845_1,plain,
! [A] :
( ( ~ r1_xreal_0(k2_xcmplx_0(A,np__1),k1_int_1(A))
& ~ r1_xreal_0(A,k6_xcmplx_0(k1_int_1(A),np__1)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t50_int_1]) ).
fof(f_1845_2,plain,
! [U_5005] :
( ( ~ r1_xreal_0(k2_xcmplx_0(U_5005,np__1),k1_int_1(U_5005))
& ~ r1_xreal_0(U_5005,k6_xcmplx_0(k1_int_1(U_5005),np__1)) )
| ~ v1_xreal_0(U_5005) ),
inference(variable_rename,[status(thm)],[f_1845_1]) ).
fof(f_1845_3,plain,
( ! [U_5005] :
( ~ r1_xreal_0(k2_xcmplx_0(U_5005,np__1),k1_int_1(U_5005))
| ~ sP883(U_5005) )
& ! [U_5005] :
( ~ r1_xreal_0(U_5005,k6_xcmplx_0(k1_int_1(U_5005),np__1))
| ~ sP883(U_5005) )
& ! [U_5005] :
( sP883(U_5005)
| ~ v1_xreal_0(U_5005) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP883])],[f_1845_2]) ).
cnf(f_1845_4,plain,
( sP883(U_5005)
| ~ v1_xreal_0(U_5005) ),
inference(clausify,[status(thm)],[f_1845_3]) ).
cnf(f_1845_5,plain,
( ~ r1_xreal_0(U_5005,k6_xcmplx_0(k1_int_1(U_5005),np__1))
| ~ sP883(U_5005) ),
inference(clausify,[status(thm)],[f_1845_3]) ).
cnf(f_1845_6,plain,
( ~ r1_xreal_0(k2_xcmplx_0(U_5005,np__1),k1_int_1(U_5005))
| ~ sP883(U_5005) ),
inference(clausify,[status(thm)],[f_1845_3]) ).
fof(f_1846_1,plain,
! [A] :
( ! [B] :
( k2_xcmplx_0(k1_int_1(A),B) = k1_int_1(k2_xcmplx_0(A,B))
| ~ v1_int_1(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t51_int_1]) ).
fof(f_1846_2,plain,
! [U_5007] :
( ! [U_5006] :
( k2_xcmplx_0(k1_int_1(U_5007),U_5006) = k1_int_1(k2_xcmplx_0(U_5007,U_5006))
| ~ v1_int_1(U_5006) )
| ~ v1_xreal_0(U_5007) ),
inference(variable_rename,[status(thm)],[f_1846_1]) ).
fof(f_1846_3,plain,
! [U_5007,U_5006] :
( k2_xcmplx_0(k1_int_1(U_5007),U_5006) = k1_int_1(k2_xcmplx_0(U_5007,U_5006))
| ~ v1_int_1(U_5006)
| ~ v1_xreal_0(U_5007) ),
inference(definitional_conversion,[status(esa)],[f_1846_2]) ).
cnf(f_1846_4,plain,
( k2_xcmplx_0(k1_int_1(U_5007),U_5006) = k1_int_1(k2_xcmplx_0(U_5007,U_5006))
| ~ v1_int_1(U_5006)
| ~ v1_xreal_0(U_5007) ),
inference(clausify,[status(thm)],[f_1846_3]) ).
fof(f_1847_1,plain,
! [A] :
( ~ r1_xreal_0(k2_xcmplx_0(k1_int_1(A),np__1),A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t52_int_1]) ).
fof(f_1847_2,plain,
! [U_5008] :
( ~ r1_xreal_0(k2_xcmplx_0(k1_int_1(U_5008),np__1),U_5008)
| ~ v1_xreal_0(U_5008) ),
inference(variable_rename,[status(thm)],[f_1847_1]) ).
fof(f_1847_3,plain,
! [U_5008] :
( ~ r1_xreal_0(k2_xcmplx_0(k1_int_1(U_5008),np__1),U_5008)
| ~ v1_xreal_0(U_5008) ),
inference(definitional_conversion,[status(esa)],[f_1847_2]) ).
cnf(f_1847_4,plain,
( ~ r1_xreal_0(k2_xcmplx_0(k1_int_1(U_5008),np__1),U_5008)
| ~ v1_xreal_0(U_5008) ),
inference(clausify,[status(thm)],[f_1847_3]) ).
fof(f_1848_1,plain,
! [A] :
( ! [B] :
( ( ( B = k2_int_1(A)
| r1_xreal_0(k2_xcmplx_0(A,np__1),B)
| ~ r1_xreal_0(A,B) )
& ( ( ~ r1_xreal_0(k2_xcmplx_0(A,np__1),B)
& r1_xreal_0(A,B) )
| B != k2_int_1(A) ) )
| ~ v1_int_1(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[d5_int_1]) ).
fof(f_1848_2,plain,
! [U_5010] :
( ! [U_5009] :
( ( ( U_5009 = k2_int_1(U_5010)
| r1_xreal_0(k2_xcmplx_0(U_5010,np__1),U_5009)
| ~ r1_xreal_0(U_5010,U_5009) )
& ( ( ~ r1_xreal_0(k2_xcmplx_0(U_5010,np__1),U_5009)
& r1_xreal_0(U_5010,U_5009) )
| U_5009 != k2_int_1(U_5010) ) )
| ~ v1_int_1(U_5009) )
| ~ v1_xreal_0(U_5010) ),
inference(variable_rename,[status(thm)],[f_1848_1]) ).
fof(f_1848_3,plain,
( ! [U_5010,U_5009] :
( ~ r1_xreal_0(k2_xcmplx_0(U_5010,np__1),U_5009)
| ~ sP884(U_5010,U_5009) )
& ! [U_5010,U_5009] :
( r1_xreal_0(U_5010,U_5009)
| ~ sP884(U_5010,U_5009) )
& ! [U_5010,U_5009] :
( U_5009 = k2_int_1(U_5010)
| r1_xreal_0(k2_xcmplx_0(U_5010,np__1),U_5009)
| ~ r1_xreal_0(U_5010,U_5009)
| ~ sP885(U_5010,U_5009) )
& ! [U_5010,U_5009] :
( sP884(U_5010,U_5009)
| U_5009 != k2_int_1(U_5010)
| ~ sP885(U_5010,U_5009) )
& ! [U_5010,U_5009] :
( sP885(U_5010,U_5009)
| ~ v1_int_1(U_5009)
| ~ v1_xreal_0(U_5010) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP884,sP885])],[f_1848_2]) ).
cnf(f_1848_4,plain,
( sP885(U_5010,U_5009)
| ~ v1_int_1(U_5009)
| ~ v1_xreal_0(U_5010) ),
inference(clausify,[status(thm)],[f_1848_3]) ).
cnf(f_1848_5,plain,
( sP884(U_5010,U_5009)
| U_5009 != k2_int_1(U_5010)
| ~ sP885(U_5010,U_5009) ),
inference(clausify,[status(thm)],[f_1848_3]) ).
cnf(f_1848_6,plain,
( U_5009 = k2_int_1(U_5010)
| r1_xreal_0(k2_xcmplx_0(U_5010,np__1),U_5009)
| ~ r1_xreal_0(U_5010,U_5009)
| ~ sP885(U_5010,U_5009) ),
inference(clausify,[status(thm)],[f_1848_3]) ).
cnf(f_1848_7,plain,
( r1_xreal_0(U_5010,U_5009)
| ~ sP884(U_5010,U_5009) ),
inference(clausify,[status(thm)],[f_1848_3]) ).
cnf(f_1848_8,plain,
( ~ r1_xreal_0(k2_xcmplx_0(U_5010,np__1),U_5009)
| ~ sP884(U_5010,U_5009) ),
inference(clausify,[status(thm)],[f_1848_3]) ).
fof(f_1849_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_int_1]) ).
fof(f_1849_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1849_1]) ).
cnf(f_1849_3,plain,
$true,
inference(clausify,[status(thm)],[f_1849_2]) ).
fof(f_1850_1,plain,
! [A] :
( ( ( k2_int_1(A) = A
| ~ v1_int_1(A) )
& ( v1_int_1(A)
| k2_int_1(A) != A ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t54_int_1]) ).
fof(f_1850_2,plain,
! [U_5011] :
( ( ( k2_int_1(U_5011) = U_5011
| ~ v1_int_1(U_5011) )
& ( v1_int_1(U_5011)
| k2_int_1(U_5011) != U_5011 ) )
| ~ v1_xreal_0(U_5011) ),
inference(variable_rename,[status(thm)],[f_1850_1]) ).
fof(f_1850_3,plain,
( ! [U_5011] :
( k2_int_1(U_5011) = U_5011
| ~ v1_int_1(U_5011)
| ~ sP886(U_5011) )
& ! [U_5011] :
( v1_int_1(U_5011)
| k2_int_1(U_5011) != U_5011
| ~ sP886(U_5011) )
& ! [U_5011] :
( sP886(U_5011)
| ~ v1_xreal_0(U_5011) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP886])],[f_1850_2]) ).
cnf(f_1850_4,plain,
( sP886(U_5011)
| ~ v1_xreal_0(U_5011) ),
inference(clausify,[status(thm)],[f_1850_3]) ).
cnf(f_1850_5,plain,
( v1_int_1(U_5011)
| k2_int_1(U_5011) != U_5011
| ~ sP886(U_5011) ),
inference(clausify,[status(thm)],[f_1850_3]) ).
cnf(f_1850_6,plain,
( k2_int_1(U_5011) = U_5011
| ~ v1_int_1(U_5011)
| ~ sP886(U_5011) ),
inference(clausify,[status(thm)],[f_1850_3]) ).
fof(f_1851_1,plain,
! [A] :
( ( ( ~ r1_xreal_0(k2_int_1(A),A)
| v1_int_1(A) )
& ( ~ v1_int_1(A)
| r1_xreal_0(k2_int_1(A),A) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t55_int_1]) ).
fof(f_1851_2,plain,
! [U_5012] :
( ( ( ~ r1_xreal_0(k2_int_1(U_5012),U_5012)
| v1_int_1(U_5012) )
& ( ~ v1_int_1(U_5012)
| r1_xreal_0(k2_int_1(U_5012),U_5012) ) )
| ~ v1_xreal_0(U_5012) ),
inference(variable_rename,[status(thm)],[f_1851_1]) ).
fof(f_1851_3,plain,
( ! [U_5012] :
( ~ r1_xreal_0(k2_int_1(U_5012),U_5012)
| v1_int_1(U_5012)
| ~ sP887(U_5012) )
& ! [U_5012] :
( ~ v1_int_1(U_5012)
| r1_xreal_0(k2_int_1(U_5012),U_5012)
| ~ sP887(U_5012) )
& ! [U_5012] :
( sP887(U_5012)
| ~ v1_xreal_0(U_5012) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP887])],[f_1851_2]) ).
cnf(f_1851_4,plain,
( sP887(U_5012)
| ~ v1_xreal_0(U_5012) ),
inference(clausify,[status(thm)],[f_1851_3]) ).
cnf(f_1851_5,plain,
( ~ v1_int_1(U_5012)
| r1_xreal_0(k2_int_1(U_5012),U_5012)
| ~ sP887(U_5012) ),
inference(clausify,[status(thm)],[f_1851_3]) ).
cnf(f_1851_6,plain,
( ~ r1_xreal_0(k2_int_1(U_5012),U_5012)
| v1_int_1(U_5012)
| ~ sP887(U_5012) ),
inference(clausify,[status(thm)],[f_1851_3]) ).
fof(f_1852_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_int_1]) ).
fof(f_1852_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1852_1]) ).
cnf(f_1852_3,plain,
$true,
inference(clausify,[status(thm)],[f_1852_2]) ).
fof(f_1853_1,plain,
! [A] :
( ( ~ r1_xreal_0(k2_xcmplx_0(k2_int_1(A),np__1),A)
& ~ r1_xreal_0(k2_int_1(A),k6_xcmplx_0(A,np__1)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t57_int_1]) ).
fof(f_1853_2,plain,
! [U_5013] :
( ( ~ r1_xreal_0(k2_xcmplx_0(k2_int_1(U_5013),np__1),U_5013)
& ~ r1_xreal_0(k2_int_1(U_5013),k6_xcmplx_0(U_5013,np__1)) )
| ~ v1_xreal_0(U_5013) ),
inference(variable_rename,[status(thm)],[f_1853_1]) ).
fof(f_1853_3,plain,
( ! [U_5013] :
( ~ r1_xreal_0(k2_xcmplx_0(k2_int_1(U_5013),np__1),U_5013)
| ~ sP888(U_5013) )
& ! [U_5013] :
( ~ r1_xreal_0(k2_int_1(U_5013),k6_xcmplx_0(U_5013,np__1))
| ~ sP888(U_5013) )
& ! [U_5013] :
( sP888(U_5013)
| ~ v1_xreal_0(U_5013) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP888])],[f_1853_2]) ).
cnf(f_1853_4,plain,
( sP888(U_5013)
| ~ v1_xreal_0(U_5013) ),
inference(clausify,[status(thm)],[f_1853_3]) ).
cnf(f_1853_5,plain,
( ~ r1_xreal_0(k2_int_1(U_5013),k6_xcmplx_0(U_5013,np__1))
| ~ sP888(U_5013) ),
inference(clausify,[status(thm)],[f_1853_3]) ).
cnf(f_1853_6,plain,
( ~ r1_xreal_0(k2_xcmplx_0(k2_int_1(U_5013),np__1),U_5013)
| ~ sP888(U_5013) ),
inference(clausify,[status(thm)],[f_1853_3]) ).
fof(f_1854_1,plain,
! [A] :
( ! [B] :
( k2_xcmplx_0(k2_int_1(A),B) = k2_int_1(k2_xcmplx_0(A,B))
| ~ v1_int_1(B) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t58_int_1]) ).
fof(f_1854_2,plain,
! [U_5015] :
( ! [U_5014] :
( k2_xcmplx_0(k2_int_1(U_5015),U_5014) = k2_int_1(k2_xcmplx_0(U_5015,U_5014))
| ~ v1_int_1(U_5014) )
| ~ v1_xreal_0(U_5015) ),
inference(variable_rename,[status(thm)],[f_1854_1]) ).
fof(f_1854_3,plain,
! [U_5015,U_5014] :
( k2_xcmplx_0(k2_int_1(U_5015),U_5014) = k2_int_1(k2_xcmplx_0(U_5015,U_5014))
| ~ v1_int_1(U_5014)
| ~ v1_xreal_0(U_5015) ),
inference(definitional_conversion,[status(esa)],[f_1854_2]) ).
cnf(f_1854_4,plain,
( k2_xcmplx_0(k2_int_1(U_5015),U_5014) = k2_int_1(k2_xcmplx_0(U_5015,U_5014))
| ~ v1_int_1(U_5014)
| ~ v1_xreal_0(U_5015) ),
inference(clausify,[status(thm)],[f_1854_3]) ).
fof(f_1855_1,plain,
! [A] :
( ( ( k1_int_1(A) = k2_int_1(A)
| ~ v1_int_1(A) )
& ( v1_int_1(A)
| k1_int_1(A) != k2_int_1(A) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t59_int_1]) ).
fof(f_1855_2,plain,
! [U_5016] :
( ( ( k1_int_1(U_5016) = k2_int_1(U_5016)
| ~ v1_int_1(U_5016) )
& ( v1_int_1(U_5016)
| k1_int_1(U_5016) != k2_int_1(U_5016) ) )
| ~ v1_xreal_0(U_5016) ),
inference(variable_rename,[status(thm)],[f_1855_1]) ).
fof(f_1855_3,plain,
( ! [U_5016] :
( k1_int_1(U_5016) = k2_int_1(U_5016)
| ~ v1_int_1(U_5016)
| ~ sP889(U_5016) )
& ! [U_5016] :
( v1_int_1(U_5016)
| k1_int_1(U_5016) != k2_int_1(U_5016)
| ~ sP889(U_5016) )
& ! [U_5016] :
( sP889(U_5016)
| ~ v1_xreal_0(U_5016) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP889])],[f_1855_2]) ).
cnf(f_1855_4,plain,
( sP889(U_5016)
| ~ v1_xreal_0(U_5016) ),
inference(clausify,[status(thm)],[f_1855_3]) ).
cnf(f_1855_5,plain,
( v1_int_1(U_5016)
| k1_int_1(U_5016) != k2_int_1(U_5016)
| ~ sP889(U_5016) ),
inference(clausify,[status(thm)],[f_1855_3]) ).
cnf(f_1855_6,plain,
( k1_int_1(U_5016) = k2_int_1(U_5016)
| ~ v1_int_1(U_5016)
| ~ sP889(U_5016) ),
inference(clausify,[status(thm)],[f_1855_3]) ).
fof(f_1856_1,plain,
! [A] :
( ( ( ~ r1_xreal_0(k2_int_1(A),k1_int_1(A))
| v1_int_1(A) )
& ( ~ v1_int_1(A)
| r1_xreal_0(k2_int_1(A),k1_int_1(A)) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t60_int_1]) ).
fof(f_1856_2,plain,
! [U_5017] :
( ( ( ~ r1_xreal_0(k2_int_1(U_5017),k1_int_1(U_5017))
| v1_int_1(U_5017) )
& ( ~ v1_int_1(U_5017)
| r1_xreal_0(k2_int_1(U_5017),k1_int_1(U_5017)) ) )
| ~ v1_xreal_0(U_5017) ),
inference(variable_rename,[status(thm)],[f_1856_1]) ).
fof(f_1856_3,plain,
( ! [U_5017] :
( ~ r1_xreal_0(k2_int_1(U_5017),k1_int_1(U_5017))
| v1_int_1(U_5017)
| ~ sP890(U_5017) )
& ! [U_5017] :
( ~ v1_int_1(U_5017)
| r1_xreal_0(k2_int_1(U_5017),k1_int_1(U_5017))
| ~ sP890(U_5017) )
& ! [U_5017] :
( sP890(U_5017)
| ~ v1_xreal_0(U_5017) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP890])],[f_1856_2]) ).
cnf(f_1856_4,plain,
( sP890(U_5017)
| ~ v1_xreal_0(U_5017) ),
inference(clausify,[status(thm)],[f_1856_3]) ).
cnf(f_1856_5,plain,
( ~ v1_int_1(U_5017)
| r1_xreal_0(k2_int_1(U_5017),k1_int_1(U_5017))
| ~ sP890(U_5017) ),
inference(clausify,[status(thm)],[f_1856_3]) ).
cnf(f_1856_6,plain,
( ~ r1_xreal_0(k2_int_1(U_5017),k1_int_1(U_5017))
| v1_int_1(U_5017)
| ~ sP890(U_5017) ),
inference(clausify,[status(thm)],[f_1856_3]) ).
fof(f_1857_1,plain,
! [A] :
( r1_xreal_0(k1_int_1(A),k2_int_1(A))
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t61_int_1]) ).
fof(f_1857_2,plain,
! [U_5018] :
( r1_xreal_0(k1_int_1(U_5018),k2_int_1(U_5018))
| ~ v1_xreal_0(U_5018) ),
inference(variable_rename,[status(thm)],[f_1857_1]) ).
fof(f_1857_3,plain,
! [U_5018] :
( r1_xreal_0(k1_int_1(U_5018),k2_int_1(U_5018))
| ~ v1_xreal_0(U_5018) ),
inference(definitional_conversion,[status(esa)],[f_1857_2]) ).
cnf(f_1857_4,plain,
( r1_xreal_0(k1_int_1(U_5018),k2_int_1(U_5018))
| ~ v1_xreal_0(U_5018) ),
inference(clausify,[status(thm)],[f_1857_3]) ).
fof(f_1858_1,plain,
! [A] :
( k1_int_1(k2_int_1(A)) = k2_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t62_int_1]) ).
fof(f_1858_2,plain,
! [U_5019] :
( k1_int_1(k2_int_1(U_5019)) = k2_int_1(U_5019)
| ~ v1_xreal_0(U_5019) ),
inference(variable_rename,[status(thm)],[f_1858_1]) ).
fof(f_1858_3,plain,
! [U_5019] :
( k1_int_1(k2_int_1(U_5019)) = k2_int_1(U_5019)
| ~ v1_xreal_0(U_5019) ),
inference(definitional_conversion,[status(esa)],[f_1858_2]) ).
cnf(f_1858_4,plain,
( k1_int_1(k2_int_1(U_5019)) = k2_int_1(U_5019)
| ~ v1_xreal_0(U_5019) ),
inference(clausify,[status(thm)],[f_1858_3]) ).
fof(f_1859_1,plain,
! [A] :
( k1_int_1(k1_int_1(A)) = k1_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t63_int_1]) ).
fof(f_1859_2,plain,
! [U_5020] :
( k1_int_1(k1_int_1(U_5020)) = k1_int_1(U_5020)
| ~ v1_xreal_0(U_5020) ),
inference(variable_rename,[status(thm)],[f_1859_1]) ).
fof(f_1859_3,plain,
! [U_5020] :
( k1_int_1(k1_int_1(U_5020)) = k1_int_1(U_5020)
| ~ v1_xreal_0(U_5020) ),
inference(definitional_conversion,[status(esa)],[f_1859_2]) ).
cnf(f_1859_4,plain,
( k1_int_1(k1_int_1(U_5020)) = k1_int_1(U_5020)
| ~ v1_xreal_0(U_5020) ),
inference(clausify,[status(thm)],[f_1859_3]) ).
fof(f_1860_1,plain,
! [A] :
( k2_int_1(k2_int_1(A)) = k2_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t64_int_1]) ).
fof(f_1860_2,plain,
! [U_5021] :
( k2_int_1(k2_int_1(U_5021)) = k2_int_1(U_5021)
| ~ v1_xreal_0(U_5021) ),
inference(variable_rename,[status(thm)],[f_1860_1]) ).
fof(f_1860_3,plain,
! [U_5021] :
( k2_int_1(k2_int_1(U_5021)) = k2_int_1(U_5021)
| ~ v1_xreal_0(U_5021) ),
inference(definitional_conversion,[status(esa)],[f_1860_2]) ).
cnf(f_1860_4,plain,
( k2_int_1(k2_int_1(U_5021)) = k2_int_1(U_5021)
| ~ v1_xreal_0(U_5021) ),
inference(clausify,[status(thm)],[f_1860_3]) ).
fof(f_1861_1,plain,
! [A] :
( k2_int_1(k1_int_1(A)) = k1_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t65_int_1]) ).
fof(f_1861_2,plain,
! [U_5022] :
( k2_int_1(k1_int_1(U_5022)) = k1_int_1(U_5022)
| ~ v1_xreal_0(U_5022) ),
inference(variable_rename,[status(thm)],[f_1861_1]) ).
fof(f_1861_3,plain,
! [U_5022] :
( k2_int_1(k1_int_1(U_5022)) = k1_int_1(U_5022)
| ~ v1_xreal_0(U_5022) ),
inference(definitional_conversion,[status(esa)],[f_1861_2]) ).
cnf(f_1861_4,plain,
( k2_int_1(k1_int_1(U_5022)) = k1_int_1(U_5022)
| ~ v1_xreal_0(U_5022) ),
inference(clausify,[status(thm)],[f_1861_3]) ).
fof(f_1862_1,plain,
! [A] :
( ( ( k1_int_1(A) = k2_int_1(A)
| k2_xcmplx_0(k1_int_1(A),np__1) = k2_int_1(A) )
& ( k2_xcmplx_0(k1_int_1(A),np__1) != k2_int_1(A)
| k1_int_1(A) != k2_int_1(A) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t66_int_1]) ).
fof(f_1862_2,plain,
! [U_5023] :
( ( ( k1_int_1(U_5023) = k2_int_1(U_5023)
| k2_xcmplx_0(k1_int_1(U_5023),np__1) = k2_int_1(U_5023) )
& ( k2_xcmplx_0(k1_int_1(U_5023),np__1) != k2_int_1(U_5023)
| k1_int_1(U_5023) != k2_int_1(U_5023) ) )
| ~ v1_xreal_0(U_5023) ),
inference(variable_rename,[status(thm)],[f_1862_1]) ).
fof(f_1862_3,plain,
( ! [U_5023] :
( k1_int_1(U_5023) = k2_int_1(U_5023)
| k2_xcmplx_0(k1_int_1(U_5023),np__1) = k2_int_1(U_5023)
| ~ sP891(U_5023) )
& ! [U_5023] :
( k2_xcmplx_0(k1_int_1(U_5023),np__1) != k2_int_1(U_5023)
| k1_int_1(U_5023) != k2_int_1(U_5023)
| ~ sP891(U_5023) )
& ! [U_5023] :
( sP891(U_5023)
| ~ v1_xreal_0(U_5023) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP891])],[f_1862_2]) ).
cnf(f_1862_4,plain,
( sP891(U_5023)
| ~ v1_xreal_0(U_5023) ),
inference(clausify,[status(thm)],[f_1862_3]) ).
cnf(f_1862_5,plain,
( k2_xcmplx_0(k1_int_1(U_5023),np__1) != k2_int_1(U_5023)
| k1_int_1(U_5023) != k2_int_1(U_5023)
| ~ sP891(U_5023) ),
inference(clausify,[status(thm)],[f_1862_3]) ).
cnf(f_1862_6,plain,
( k1_int_1(U_5023) = k2_int_1(U_5023)
| k2_xcmplx_0(k1_int_1(U_5023),np__1) = k2_int_1(U_5023)
| ~ sP891(U_5023) ),
inference(clausify,[status(thm)],[f_1862_3]) ).
fof(f_1863_1,plain,
! [A] :
( k3_int_1(A) = k6_xcmplx_0(A,k1_int_1(A))
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[d6_int_1]) ).
fof(f_1863_2,plain,
! [U_5024] :
( k3_int_1(U_5024) = k6_xcmplx_0(U_5024,k1_int_1(U_5024))
| ~ v1_xreal_0(U_5024) ),
inference(variable_rename,[status(thm)],[f_1863_1]) ).
fof(f_1863_3,plain,
! [U_5024] :
( k3_int_1(U_5024) = k6_xcmplx_0(U_5024,k1_int_1(U_5024))
| ~ v1_xreal_0(U_5024) ),
inference(definitional_conversion,[status(esa)],[f_1863_2]) ).
cnf(f_1863_4,plain,
( k3_int_1(U_5024) = k6_xcmplx_0(U_5024,k1_int_1(U_5024))
| ~ v1_xreal_0(U_5024) ),
inference(clausify,[status(thm)],[f_1863_3]) ).
fof(f_1864_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t67_int_1]) ).
fof(f_1864_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1864_1]) ).
cnf(f_1864_3,plain,
$true,
inference(clausify,[status(thm)],[f_1864_2]) ).
fof(f_1865_1,plain,
! [A] :
( A = k2_xcmplx_0(k1_int_1(A),k4_int_1(A))
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t68_int_1]) ).
fof(f_1865_2,plain,
! [U_5025] :
( U_5025 = k2_xcmplx_0(k1_int_1(U_5025),k4_int_1(U_5025))
| ~ v1_xreal_0(U_5025) ),
inference(variable_rename,[status(thm)],[f_1865_1]) ).
fof(f_1865_3,plain,
! [U_5025] :
( U_5025 = k2_xcmplx_0(k1_int_1(U_5025),k4_int_1(U_5025))
| ~ v1_xreal_0(U_5025) ),
inference(definitional_conversion,[status(esa)],[f_1865_2]) ).
cnf(f_1865_4,plain,
( U_5025 = k2_xcmplx_0(k1_int_1(U_5025),k4_int_1(U_5025))
| ~ v1_xreal_0(U_5025) ),
inference(clausify,[status(thm)],[f_1865_3]) ).
fof(f_1866_1,plain,
! [A] :
( ( r1_xreal_0(np__0,k4_int_1(A))
& ~ r1_xreal_0(np__1,k4_int_1(A)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t69_int_1]) ).
fof(f_1866_2,plain,
! [U_5026] :
( ( r1_xreal_0(np__0,k4_int_1(U_5026))
& ~ r1_xreal_0(np__1,k4_int_1(U_5026)) )
| ~ v1_xreal_0(U_5026) ),
inference(variable_rename,[status(thm)],[f_1866_1]) ).
fof(f_1866_3,plain,
( ! [U_5026] :
( r1_xreal_0(np__0,k4_int_1(U_5026))
| ~ sP892(U_5026) )
& ! [U_5026] :
( ~ r1_xreal_0(np__1,k4_int_1(U_5026))
| ~ sP892(U_5026) )
& ! [U_5026] :
( sP892(U_5026)
| ~ v1_xreal_0(U_5026) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP892])],[f_1866_2]) ).
cnf(f_1866_4,plain,
( sP892(U_5026)
| ~ v1_xreal_0(U_5026) ),
inference(clausify,[status(thm)],[f_1866_3]) ).
cnf(f_1866_5,plain,
( ~ r1_xreal_0(np__1,k4_int_1(U_5026))
| ~ sP892(U_5026) ),
inference(clausify,[status(thm)],[f_1866_3]) ).
cnf(f_1866_6,plain,
( r1_xreal_0(np__0,k4_int_1(U_5026))
| ~ sP892(U_5026) ),
inference(clausify,[status(thm)],[f_1866_3]) ).
fof(f_1867_1,plain,
! [A] :
( k1_int_1(k4_int_1(A)) = np__0
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t70_int_1]) ).
fof(f_1867_2,plain,
! [U_5027] :
( k1_int_1(k4_int_1(U_5027)) = np__0
| ~ v1_xreal_0(U_5027) ),
inference(variable_rename,[status(thm)],[f_1867_1]) ).
fof(f_1867_3,plain,
! [U_5027] :
( k1_int_1(k4_int_1(U_5027)) = np__0
| ~ v1_xreal_0(U_5027) ),
inference(definitional_conversion,[status(esa)],[f_1867_2]) ).
cnf(f_1867_4,plain,
( k1_int_1(k4_int_1(U_5027)) = np__0
| ~ v1_xreal_0(U_5027) ),
inference(clausify,[status(thm)],[f_1867_3]) ).
fof(f_1868_1,plain,
! [A] :
( ( ( k4_int_1(A) = np__0
| ~ v1_int_1(A) )
& ( v1_int_1(A)
| k4_int_1(A) != np__0 ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t71_int_1]) ).
fof(f_1868_2,plain,
! [U_5028] :
( ( ( k4_int_1(U_5028) = np__0
| ~ v1_int_1(U_5028) )
& ( v1_int_1(U_5028)
| k4_int_1(U_5028) != np__0 ) )
| ~ v1_xreal_0(U_5028) ),
inference(variable_rename,[status(thm)],[f_1868_1]) ).
fof(f_1868_3,plain,
( ! [U_5028] :
( k4_int_1(U_5028) = np__0
| ~ v1_int_1(U_5028)
| ~ sP893(U_5028) )
& ! [U_5028] :
( v1_int_1(U_5028)
| k4_int_1(U_5028) != np__0
| ~ sP893(U_5028) )
& ! [U_5028] :
( sP893(U_5028)
| ~ v1_xreal_0(U_5028) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP893])],[f_1868_2]) ).
cnf(f_1868_4,plain,
( sP893(U_5028)
| ~ v1_xreal_0(U_5028) ),
inference(clausify,[status(thm)],[f_1868_3]) ).
cnf(f_1868_5,plain,
( v1_int_1(U_5028)
| k4_int_1(U_5028) != np__0
| ~ sP893(U_5028) ),
inference(clausify,[status(thm)],[f_1868_3]) ).
cnf(f_1868_6,plain,
( k4_int_1(U_5028) = np__0
| ~ v1_int_1(U_5028)
| ~ sP893(U_5028) ),
inference(clausify,[status(thm)],[f_1868_3]) ).
fof(f_1869_1,plain,
! [A] :
( ( ( ~ r1_xreal_0(k4_int_1(A),np__0)
| v1_int_1(A) )
& ( ~ v1_int_1(A)
| r1_xreal_0(k4_int_1(A),np__0) ) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t72_int_1]) ).
fof(f_1869_2,plain,
! [U_5029] :
( ( ( ~ r1_xreal_0(k4_int_1(U_5029),np__0)
| v1_int_1(U_5029) )
& ( ~ v1_int_1(U_5029)
| r1_xreal_0(k4_int_1(U_5029),np__0) ) )
| ~ v1_xreal_0(U_5029) ),
inference(variable_rename,[status(thm)],[f_1869_1]) ).
fof(f_1869_3,plain,
( ! [U_5029] :
( ~ r1_xreal_0(k4_int_1(U_5029),np__0)
| v1_int_1(U_5029)
| ~ sP894(U_5029) )
& ! [U_5029] :
( ~ v1_int_1(U_5029)
| r1_xreal_0(k4_int_1(U_5029),np__0)
| ~ sP894(U_5029) )
& ! [U_5029] :
( sP894(U_5029)
| ~ v1_xreal_0(U_5029) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP894])],[f_1869_2]) ).
cnf(f_1869_4,plain,
( sP894(U_5029)
| ~ v1_xreal_0(U_5029) ),
inference(clausify,[status(thm)],[f_1869_3]) ).
cnf(f_1869_5,plain,
( ~ v1_int_1(U_5029)
| r1_xreal_0(k4_int_1(U_5029),np__0)
| ~ sP894(U_5029) ),
inference(clausify,[status(thm)],[f_1869_3]) ).
cnf(f_1869_6,plain,
( ~ r1_xreal_0(k4_int_1(U_5029),np__0)
| v1_int_1(U_5029)
| ~ sP894(U_5029) ),
inference(clausify,[status(thm)],[f_1869_3]) ).
fof(f_1870_1,plain,
! [A] :
( ! [B] :
( k5_int_1(A,B) = k1_int_1(k7_xcmplx_0(A,B))
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[d7_int_1]) ).
fof(f_1870_2,plain,
! [U_5031] :
( ! [U_5030] :
( k5_int_1(U_5031,U_5030) = k1_int_1(k7_xcmplx_0(U_5031,U_5030))
| ~ v1_int_1(U_5030) )
| ~ v1_int_1(U_5031) ),
inference(variable_rename,[status(thm)],[f_1870_1]) ).
fof(f_1870_3,plain,
! [U_5030,U_5031] :
( k5_int_1(U_5031,U_5030) = k1_int_1(k7_xcmplx_0(U_5031,U_5030))
| ~ v1_int_1(U_5030)
| ~ v1_int_1(U_5031) ),
inference(definitional_conversion,[status(esa)],[f_1870_2]) ).
cnf(f_1870_4,plain,
( k5_int_1(U_5031,U_5030) = k1_int_1(k7_xcmplx_0(U_5031,U_5030))
| ~ v1_int_1(U_5030)
| ~ v1_int_1(U_5031) ),
inference(clausify,[status(thm)],[f_1870_3]) ).
fof(f_1871_1,plain,
! [A] :
( ! [B] :
( ( ( k6_int_1(A,B) = np__0
| B != np__0 )
& ( k6_int_1(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k5_int_1(A,B),B))
| B = np__0 ) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[d8_int_1]) ).
fof(f_1871_2,plain,
! [U_5033] :
( ! [U_5032] :
( ( ( k6_int_1(U_5033,U_5032) = np__0
| U_5032 != np__0 )
& ( k6_int_1(U_5033,U_5032) = k6_xcmplx_0(U_5033,k3_xcmplx_0(k5_int_1(U_5033,U_5032),U_5032))
| U_5032 = np__0 ) )
| ~ v1_int_1(U_5032) )
| ~ v1_int_1(U_5033) ),
inference(variable_rename,[status(thm)],[f_1871_1]) ).
fof(f_1871_3,plain,
( ! [U_5032,U_5033] :
( k6_int_1(U_5033,U_5032) = np__0
| U_5032 != np__0
| ~ sP895(U_5032,U_5033) )
& ! [U_5032,U_5033] :
( k6_int_1(U_5033,U_5032) = k6_xcmplx_0(U_5033,k3_xcmplx_0(k5_int_1(U_5033,U_5032),U_5032))
| U_5032 = np__0
| ~ sP895(U_5032,U_5033) )
& ! [U_5032,U_5033] :
( sP895(U_5032,U_5033)
| ~ v1_int_1(U_5032)
| ~ v1_int_1(U_5033) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP895])],[f_1871_2]) ).
cnf(f_1871_4,plain,
( sP895(U_5032,U_5033)
| ~ v1_int_1(U_5032)
| ~ v1_int_1(U_5033) ),
inference(clausify,[status(thm)],[f_1871_3]) ).
cnf(f_1871_5,plain,
( k6_int_1(U_5033,U_5032) = k6_xcmplx_0(U_5033,k3_xcmplx_0(k5_int_1(U_5033,U_5032),U_5032))
| U_5032 = np__0
| ~ sP895(U_5032,U_5033) ),
inference(clausify,[status(thm)],[f_1871_3]) ).
cnf(f_1871_6,plain,
( k6_int_1(U_5033,U_5032) = np__0
| U_5032 != np__0
| ~ sP895(U_5032,U_5033) ),
inference(clausify,[status(thm)],[f_1871_3]) ).
fof(f_1872_1,plain,
! [A] :
( ! [B] :
( ( ( r2_int_1(A,B)
| ! [C] :
( B != k3_xcmplx_0(A,C)
| ~ v1_int_1(C) ) )
& ( ? [C] :
( B = k3_xcmplx_0(A,C)
& v1_int_1(C) )
| ~ r2_int_1(A,B) ) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[d9_int_1]) ).
fof(f_1872_2,plain,
! [U_5037] :
( ! [U_5036] :
( ( ( r2_int_1(U_5037,U_5036)
| ! [U_5035] :
( U_5036 != k3_xcmplx_0(U_5037,U_5035)
| ~ v1_int_1(U_5035) ) )
& ( ? [U_5034] :
( U_5036 = k3_xcmplx_0(U_5037,U_5034)
& v1_int_1(U_5034) )
| ~ r2_int_1(U_5037,U_5036) ) )
| ~ v1_int_1(U_5036) )
| ~ v1_int_1(U_5037) ),
inference(variable_rename,[status(thm)],[f_1872_1]) ).
fof(f_1872_3,plain,
! [U_5037] :
( ! [U_5036] :
( ( ( r2_int_1(U_5037,U_5036)
| ! [U_5035] :
( U_5036 != k3_xcmplx_0(U_5037,U_5035)
| ~ v1_int_1(U_5035) ) )
& ( ( U_5036 = k3_xcmplx_0(U_5037,sK621(U_5037,U_5036))
& v1_int_1(sK621(U_5037,U_5036)) )
| ~ r2_int_1(U_5037,U_5036) ) )
| ~ v1_int_1(U_5036) )
| ~ v1_int_1(U_5037) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK621]),skolemize(U_5034,sK621(U_5037,U_5036))],[f_1872_2]) ).
fof(f_1872_4,plain,
( ! [U_5037,U_5036] :
( U_5036 = k3_xcmplx_0(U_5037,sK621(U_5037,U_5036))
| ~ sP896(U_5037,U_5036) )
& ! [U_5037,U_5036] :
( v1_int_1(sK621(U_5037,U_5036))
| ~ sP896(U_5037,U_5036) )
& ! [U_5035,U_5037,U_5036] :
( r2_int_1(U_5037,U_5036)
| U_5036 != k3_xcmplx_0(U_5037,U_5035)
| ~ v1_int_1(U_5035)
| ~ sP897(U_5035,U_5037,U_5036) )
& ! [U_5035,U_5037,U_5036] :
( sP896(U_5037,U_5036)
| ~ r2_int_1(U_5037,U_5036)
| ~ sP897(U_5035,U_5037,U_5036) )
& ! [U_5035,U_5037,U_5036] :
( sP897(U_5035,U_5037,U_5036)
| ~ v1_int_1(U_5036)
| ~ v1_int_1(U_5037) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP896,sP897])],[f_1872_3]) ).
cnf(f_1872_5,plain,
( sP897(U_5035,U_5037,U_5036)
| ~ v1_int_1(U_5036)
| ~ v1_int_1(U_5037) ),
inference(clausify,[status(thm)],[f_1872_4]) ).
cnf(f_1872_6,plain,
( sP896(U_5037,U_5036)
| ~ r2_int_1(U_5037,U_5036)
| ~ sP897(U_5035,U_5037,U_5036) ),
inference(clausify,[status(thm)],[f_1872_4]) ).
cnf(f_1872_7,plain,
( r2_int_1(U_5037,U_5036)
| U_5036 != k3_xcmplx_0(U_5037,U_5035)
| ~ v1_int_1(U_5035)
| ~ sP897(U_5035,U_5037,U_5036) ),
inference(clausify,[status(thm)],[f_1872_4]) ).
cnf(f_1872_8,plain,
( v1_int_1(sK621(U_5037,U_5036))
| ~ sP896(U_5037,U_5036) ),
inference(clausify,[status(thm)],[f_1872_4]) ).
cnf(f_1872_9,plain,
( U_5036 = k3_xcmplx_0(U_5037,sK621(U_5037,U_5036))
| ~ sP896(U_5037,U_5036) ),
inference(clausify,[status(thm)],[f_1872_4]) ).
fof(f_1873_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t73_int_1]) ).
fof(f_1873_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1873_1]) ).
cnf(f_1873_3,plain,
$true,
inference(clausify,[status(thm)],[f_1873_2]) ).
fof(f_1874_1,plain,
! [A] :
( k1_int_1(k7_xcmplx_0(A,A)) = np__1
| A = np__0
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t74_int_1]) ).
fof(f_1874_2,plain,
! [U_5038] :
( k1_int_1(k7_xcmplx_0(U_5038,U_5038)) = np__1
| U_5038 = np__0
| ~ v1_xreal_0(U_5038) ),
inference(variable_rename,[status(thm)],[f_1874_1]) ).
fof(f_1874_3,plain,
! [U_5038] :
( k1_int_1(k7_xcmplx_0(U_5038,U_5038)) = np__1
| U_5038 = np__0
| ~ v1_xreal_0(U_5038) ),
inference(definitional_conversion,[status(esa)],[f_1874_2]) ).
cnf(f_1874_4,plain,
( k1_int_1(k7_xcmplx_0(U_5038,U_5038)) = np__1
| U_5038 = np__0
| ~ v1_xreal_0(U_5038) ),
inference(clausify,[status(thm)],[f_1874_3]) ).
fof(f_1875_1,plain,
! [A] :
( k5_int_1(A,np__0) = np__0
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t75_int_1]) ).
fof(f_1875_2,plain,
! [U_5039] :
( k5_int_1(U_5039,np__0) = np__0
| ~ v1_int_1(U_5039) ),
inference(variable_rename,[status(thm)],[f_1875_1]) ).
fof(f_1875_3,plain,
! [U_5039] :
( k5_int_1(U_5039,np__0) = np__0
| ~ v1_int_1(U_5039) ),
inference(definitional_conversion,[status(esa)],[f_1875_2]) ).
cnf(f_1875_4,plain,
( k5_int_1(U_5039,np__0) = np__0
| ~ v1_int_1(U_5039) ),
inference(clausify,[status(thm)],[f_1875_3]) ).
fof(f_1876_1,plain,
! [A] :
( k5_int_1(A,A) = np__1
| A = np__0
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t76_int_1]) ).
fof(f_1876_2,plain,
! [U_5040] :
( k5_int_1(U_5040,U_5040) = np__1
| U_5040 = np__0
| ~ v1_int_1(U_5040) ),
inference(variable_rename,[status(thm)],[f_1876_1]) ).
fof(f_1876_3,plain,
! [U_5040] :
( k5_int_1(U_5040,U_5040) = np__1
| U_5040 = np__0
| ~ v1_int_1(U_5040) ),
inference(definitional_conversion,[status(esa)],[f_1876_2]) ).
cnf(f_1876_4,plain,
( k5_int_1(U_5040,U_5040) = np__1
| U_5040 = np__0
| ~ v1_int_1(U_5040) ),
inference(clausify,[status(thm)],[f_1876_3]) ).
fof(f_1877_1,plain,
! [A] :
( k6_int_1(A,A) = np__0
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t77_int_1]) ).
fof(f_1877_2,plain,
! [U_5041] :
( k6_int_1(U_5041,U_5041) = np__0
| ~ v1_int_1(U_5041) ),
inference(variable_rename,[status(thm)],[f_1877_1]) ).
fof(f_1877_3,plain,
! [U_5041] :
( k6_int_1(U_5041,U_5041) = np__0
| ~ v1_int_1(U_5041) ),
inference(definitional_conversion,[status(esa)],[f_1877_2]) ).
cnf(f_1877_4,plain,
( k6_int_1(U_5041,U_5041) = np__0
| ~ v1_int_1(U_5041) ),
inference(clausify,[status(thm)],[f_1877_3]) ).
fof(f_1878_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( r1_xreal_0(np__1,C)
& C = k6_xcmplx_0(B,A)
& m2_subset_1(C,k1_numbers,k5_numbers) )
| r1_xreal_0(B,A)
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t78_int_1]) ).
fof(f_1878_2,plain,
! [U_5044] :
( ! [U_5043] :
( ? [U_5042] :
( r1_xreal_0(np__1,U_5042)
& U_5042 = k6_xcmplx_0(U_5043,U_5044)
& m2_subset_1(U_5042,k1_numbers,k5_numbers) )
| r1_xreal_0(U_5043,U_5044)
| ~ v1_int_1(U_5043) )
| ~ m2_subset_1(U_5044,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1878_1]) ).
fof(f_1878_3,plain,
! [U_5044] :
( ! [U_5043] :
( ( r1_xreal_0(np__1,sK622(U_5044,U_5043))
& sK622(U_5044,U_5043) = k6_xcmplx_0(U_5043,U_5044)
& m2_subset_1(sK622(U_5044,U_5043),k1_numbers,k5_numbers) )
| r1_xreal_0(U_5043,U_5044)
| ~ v1_int_1(U_5043) )
| ~ m2_subset_1(U_5044,k1_numbers,k5_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK622]),skolemize(U_5042,sK622(U_5044,U_5043))],[f_1878_2]) ).
fof(f_1878_4,plain,
( ! [U_5043,U_5044] :
( r1_xreal_0(np__1,sK622(U_5044,U_5043))
| ~ sP898(U_5043,U_5044) )
& ! [U_5043,U_5044] :
( sK622(U_5044,U_5043) = k6_xcmplx_0(U_5043,U_5044)
| ~ sP898(U_5043,U_5044) )
& ! [U_5043,U_5044] :
( m2_subset_1(sK622(U_5044,U_5043),k1_numbers,k5_numbers)
| ~ sP898(U_5043,U_5044) )
& ! [U_5043,U_5044] :
( sP898(U_5043,U_5044)
| r1_xreal_0(U_5043,U_5044)
| ~ v1_int_1(U_5043)
| ~ m2_subset_1(U_5044,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP898])],[f_1878_3]) ).
cnf(f_1878_5,plain,
( sP898(U_5043,U_5044)
| r1_xreal_0(U_5043,U_5044)
| ~ v1_int_1(U_5043)
| ~ m2_subset_1(U_5044,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1878_4]) ).
cnf(f_1878_6,plain,
( m2_subset_1(sK622(U_5044,U_5043),k1_numbers,k5_numbers)
| ~ sP898(U_5043,U_5044) ),
inference(clausify,[status(thm)],[f_1878_4]) ).
cnf(f_1878_7,plain,
( sK622(U_5044,U_5043) = k6_xcmplx_0(U_5043,U_5044)
| ~ sP898(U_5043,U_5044) ),
inference(clausify,[status(thm)],[f_1878_4]) ).
cnf(f_1878_8,plain,
( r1_xreal_0(np__1,sK622(U_5044,U_5043))
| ~ sP898(U_5043,U_5044) ),
inference(clausify,[status(thm)],[f_1878_4]) ).
fof(f_1879_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(A,k6_xcmplx_0(B,np__1))
| r1_xreal_0(B,A)
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t79_int_1]) ).
fof(f_1879_2,plain,
! [U_5046] :
( ! [U_5045] :
( r1_xreal_0(U_5046,k6_xcmplx_0(U_5045,np__1))
| r1_xreal_0(U_5045,U_5046)
| ~ v1_int_1(U_5045) )
| ~ v1_int_1(U_5046) ),
inference(variable_rename,[status(thm)],[f_1879_1]) ).
fof(f_1879_3,plain,
! [U_5046,U_5045] :
( r1_xreal_0(U_5046,k6_xcmplx_0(U_5045,np__1))
| r1_xreal_0(U_5045,U_5046)
| ~ v1_int_1(U_5045)
| ~ v1_int_1(U_5046) ),
inference(definitional_conversion,[status(esa)],[f_1879_2]) ).
cnf(f_1879_4,plain,
( r1_xreal_0(U_5046,k6_xcmplx_0(U_5045,np__1))
| r1_xreal_0(U_5045,U_5046)
| ~ v1_int_1(U_5045)
| ~ v1_int_1(U_5046) ),
inference(clausify,[status(thm)],[f_1879_3]) ).
fof(f_1880_1,plain,
! [A] :
( ( m2_subset_1(k1_int_1(A),k1_numbers,k5_numbers)
& m2_subset_1(k2_int_1(A),k1_numbers,k5_numbers)
& r1_xreal_0(np__0,k1_int_1(A))
& r1_xreal_0(np__0,k2_int_1(A)) )
| ~ r1_xreal_0(np__0,A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[t80_int_1]) ).
fof(f_1880_2,plain,
! [U_5047] :
( ( m2_subset_1(k1_int_1(U_5047),k1_numbers,k5_numbers)
& m2_subset_1(k2_int_1(U_5047),k1_numbers,k5_numbers)
& r1_xreal_0(np__0,k1_int_1(U_5047))
& r1_xreal_0(np__0,k2_int_1(U_5047)) )
| ~ r1_xreal_0(np__0,U_5047)
| ~ v1_xreal_0(U_5047) ),
inference(variable_rename,[status(thm)],[f_1880_1]) ).
fof(f_1880_3,plain,
( ! [U_5047] :
( m2_subset_1(k1_int_1(U_5047),k1_numbers,k5_numbers)
| ~ sP899(U_5047) )
& ! [U_5047] :
( m2_subset_1(k2_int_1(U_5047),k1_numbers,k5_numbers)
| ~ sP899(U_5047) )
& ! [U_5047] :
( r1_xreal_0(np__0,k1_int_1(U_5047))
| ~ sP899(U_5047) )
& ! [U_5047] :
( r1_xreal_0(np__0,k2_int_1(U_5047))
| ~ sP899(U_5047) )
& ! [U_5047] :
( sP899(U_5047)
| ~ r1_xreal_0(np__0,U_5047)
| ~ v1_xreal_0(U_5047) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP899])],[f_1880_2]) ).
cnf(f_1880_4,plain,
( sP899(U_5047)
| ~ r1_xreal_0(np__0,U_5047)
| ~ v1_xreal_0(U_5047) ),
inference(clausify,[status(thm)],[f_1880_3]) ).
cnf(f_1880_5,plain,
( r1_xreal_0(np__0,k2_int_1(U_5047))
| ~ sP899(U_5047) ),
inference(clausify,[status(thm)],[f_1880_3]) ).
cnf(f_1880_6,plain,
( r1_xreal_0(np__0,k1_int_1(U_5047))
| ~ sP899(U_5047) ),
inference(clausify,[status(thm)],[f_1880_3]) ).
cnf(f_1880_7,plain,
( m2_subset_1(k2_int_1(U_5047),k1_numbers,k5_numbers)
| ~ sP899(U_5047) ),
inference(clausify,[status(thm)],[f_1880_3]) ).
cnf(f_1880_8,plain,
( m2_subset_1(k1_int_1(U_5047),k1_numbers,k5_numbers)
| ~ sP899(U_5047) ),
inference(clausify,[status(thm)],[f_1880_3]) ).
fof(f_1881_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(A,k1_int_1(B))
| ~ r1_xreal_0(A,B)
| ~ v1_xreal_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t81_int_1]) ).
fof(f_1881_2,plain,
! [U_5049] :
( ! [U_5048] :
( r1_xreal_0(U_5049,k1_int_1(U_5048))
| ~ r1_xreal_0(U_5049,U_5048)
| ~ v1_xreal_0(U_5048) )
| ~ v1_int_1(U_5049) ),
inference(variable_rename,[status(thm)],[f_1881_1]) ).
fof(f_1881_3,plain,
! [U_5048,U_5049] :
( r1_xreal_0(U_5049,k1_int_1(U_5048))
| ~ r1_xreal_0(U_5049,U_5048)
| ~ v1_xreal_0(U_5048)
| ~ v1_int_1(U_5049) ),
inference(definitional_conversion,[status(esa)],[f_1881_2]) ).
cnf(f_1881_4,plain,
( r1_xreal_0(U_5049,k1_int_1(U_5048))
| ~ r1_xreal_0(U_5049,U_5048)
| ~ v1_xreal_0(U_5048)
| ~ v1_int_1(U_5049) ),
inference(clausify,[status(thm)],[f_1881_3]) ).
fof(f_1882_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(np__0,k5_int_1(A,B))
| ~ v4_ordinal2(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t82_int_1]) ).
fof(f_1882_2,plain,
! [U_5051] :
( ! [U_5050] :
( r1_xreal_0(np__0,k5_int_1(U_5051,U_5050))
| ~ v4_ordinal2(U_5050) )
| ~ v4_ordinal2(U_5051) ),
inference(variable_rename,[status(thm)],[f_1882_1]) ).
fof(f_1882_3,plain,
! [U_5051,U_5050] :
( r1_xreal_0(np__0,k5_int_1(U_5051,U_5050))
| ~ v4_ordinal2(U_5050)
| ~ v4_ordinal2(U_5051) ),
inference(definitional_conversion,[status(esa)],[f_1882_2]) ).
cnf(f_1882_4,plain,
( r1_xreal_0(np__0,k5_int_1(U_5051,U_5050))
| ~ v4_ordinal2(U_5050)
| ~ v4_ordinal2(U_5051) ),
inference(clausify,[status(thm)],[f_1882_3]) ).
fof(f_1883_1,plain,
? [A] :
( ! [B] :
( ( ( r2_hidden(B,A)
| ~ p1_s1_int_1(B) )
& ( p1_s1_int_1(B)
| ~ r2_hidden(B,A) ) )
| ~ v1_int_1(B) )
& m1_subset_1(A,k1_zfmisc_1(k4_numbers)) ),
inference(fof_nnf,[status(thm)],[s1_int_1]) ).
fof(f_1883_2,plain,
? [U_5053] :
( ! [U_5052] :
( ( ( r2_hidden(U_5052,U_5053)
| ~ p1_s1_int_1(U_5052) )
& ( p1_s1_int_1(U_5052)
| ~ r2_hidden(U_5052,U_5053) ) )
| ~ v1_int_1(U_5052) )
& m1_subset_1(U_5053,k1_zfmisc_1(k4_numbers)) ),
inference(variable_rename,[status(thm)],[f_1883_1]) ).
fof(f_1883_3,plain,
( ! [U_5052] :
( ( ( r2_hidden(U_5052,sK623)
| ~ p1_s1_int_1(U_5052) )
& ( p1_s1_int_1(U_5052)
| ~ r2_hidden(U_5052,sK623) ) )
| ~ v1_int_1(U_5052) )
& m1_subset_1(sK623,k1_zfmisc_1(k4_numbers)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK623]),skolemize(U_5053,sK623)],[f_1883_2]) ).
fof(f_1883_4,plain,
( ! [U_5052] :
( r2_hidden(U_5052,sK623)
| ~ p1_s1_int_1(U_5052)
| ~ sP900(U_5052) )
& ! [U_5052] :
( p1_s1_int_1(U_5052)
| ~ r2_hidden(U_5052,sK623)
| ~ sP900(U_5052) )
& ! [U_5052] :
( sP900(U_5052)
| ~ v1_int_1(U_5052) )
& m1_subset_1(sK623,k1_zfmisc_1(k4_numbers)) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP900])],[f_1883_3]) ).
cnf(f_1883_5,plain,
m1_subset_1(sK623,k1_zfmisc_1(k4_numbers)),
inference(clausify,[status(thm)],[f_1883_4]) ).
cnf(f_1883_6,plain,
( sP900(U_5052)
| ~ v1_int_1(U_5052) ),
inference(clausify,[status(thm)],[f_1883_4]) ).
cnf(f_1883_7,plain,
( p1_s1_int_1(U_5052)
| ~ r2_hidden(U_5052,sK623)
| ~ sP900(U_5052) ),
inference(clausify,[status(thm)],[f_1883_4]) ).
cnf(f_1883_8,plain,
( r2_hidden(U_5052,sK623)
| ~ p1_s1_int_1(U_5052)
| ~ sP900(U_5052) ),
inference(clausify,[status(thm)],[f_1883_4]) ).
fof(f_1884_1,plain,
( ! [A] :
( p1_s2_int_1(A)
| ~ r1_xreal_0(f1_s2_int_1,A)
| ~ v1_int_1(A) )
| ? [A] :
( ~ p1_s2_int_1(k2_xcmplx_0(A,np__1))
& p1_s2_int_1(A)
& r1_xreal_0(f1_s2_int_1,A)
& v1_int_1(A) )
| ~ p1_s2_int_1(f1_s2_int_1) ),
inference(fof_nnf,[status(thm)],[s2_int_1]) ).
fof(f_1884_2,plain,
( ! [U_5055] :
( p1_s2_int_1(U_5055)
| ~ r1_xreal_0(f1_s2_int_1,U_5055)
| ~ v1_int_1(U_5055) )
| ? [U_5054] :
( ~ p1_s2_int_1(k2_xcmplx_0(U_5054,np__1))
& p1_s2_int_1(U_5054)
& r1_xreal_0(f1_s2_int_1,U_5054)
& v1_int_1(U_5054) )
| ~ p1_s2_int_1(f1_s2_int_1) ),
inference(variable_rename,[status(thm)],[f_1884_1]) ).
fof(f_1884_3,plain,
( ! [U_5055] :
( p1_s2_int_1(U_5055)
| ~ r1_xreal_0(f1_s2_int_1,U_5055)
| ~ v1_int_1(U_5055) )
| ( ~ p1_s2_int_1(k2_xcmplx_0(sK624,np__1))
& p1_s2_int_1(sK624)
& r1_xreal_0(f1_s2_int_1,sK624)
& v1_int_1(sK624) )
| ~ p1_s2_int_1(f1_s2_int_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK624]),skolemize(U_5054,sK624)],[f_1884_2]) ).
fof(f_1884_4,plain,
( ( ~ p1_s2_int_1(k2_xcmplx_0(sK624,np__1))
| ~ sP901 )
& ( p1_s2_int_1(sK624)
| ~ sP901 )
& ( r1_xreal_0(f1_s2_int_1,sK624)
| ~ sP901 )
& ( v1_int_1(sK624)
| ~ sP901 )
& ! [U_5055] :
( p1_s2_int_1(U_5055)
| ~ r1_xreal_0(f1_s2_int_1,U_5055)
| ~ v1_int_1(U_5055)
| sP901
| ~ p1_s2_int_1(f1_s2_int_1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP901])],[f_1884_3]) ).
cnf(f_1884_5,plain,
( p1_s2_int_1(U_5055)
| ~ r1_xreal_0(f1_s2_int_1,U_5055)
| ~ v1_int_1(U_5055)
| sP901
| ~ p1_s2_int_1(f1_s2_int_1) ),
inference(clausify,[status(thm)],[f_1884_4]) ).
cnf(f_1884_6,plain,
( v1_int_1(sK624)
| ~ sP901 ),
inference(clausify,[status(thm)],[f_1884_4]) ).
cnf(f_1884_7,plain,
( r1_xreal_0(f1_s2_int_1,sK624)
| ~ sP901 ),
inference(clausify,[status(thm)],[f_1884_4]) ).
cnf(f_1884_8,plain,
( p1_s2_int_1(sK624)
| ~ sP901 ),
inference(clausify,[status(thm)],[f_1884_4]) ).
cnf(f_1884_9,plain,
( ~ p1_s2_int_1(k2_xcmplx_0(sK624,np__1))
| ~ sP901 ),
inference(clausify,[status(thm)],[f_1884_4]) ).
fof(f_1885_1,plain,
( ! [A] :
( p1_s3_int_1(A)
| ~ r1_xreal_0(A,f1_s3_int_1)
| ~ v1_int_1(A) )
| ? [A] :
( ~ p1_s3_int_1(k6_xcmplx_0(A,np__1))
& p1_s3_int_1(A)
& r1_xreal_0(A,f1_s3_int_1)
& v1_int_1(A) )
| ~ p1_s3_int_1(f1_s3_int_1) ),
inference(fof_nnf,[status(thm)],[s3_int_1]) ).
fof(f_1885_2,plain,
( ! [U_5057] :
( p1_s3_int_1(U_5057)
| ~ r1_xreal_0(U_5057,f1_s3_int_1)
| ~ v1_int_1(U_5057) )
| ? [U_5056] :
( ~ p1_s3_int_1(k6_xcmplx_0(U_5056,np__1))
& p1_s3_int_1(U_5056)
& r1_xreal_0(U_5056,f1_s3_int_1)
& v1_int_1(U_5056) )
| ~ p1_s3_int_1(f1_s3_int_1) ),
inference(variable_rename,[status(thm)],[f_1885_1]) ).
fof(f_1885_3,plain,
( ! [U_5057] :
( p1_s3_int_1(U_5057)
| ~ r1_xreal_0(U_5057,f1_s3_int_1)
| ~ v1_int_1(U_5057) )
| ( ~ p1_s3_int_1(k6_xcmplx_0(sK625,np__1))
& p1_s3_int_1(sK625)
& r1_xreal_0(sK625,f1_s3_int_1)
& v1_int_1(sK625) )
| ~ p1_s3_int_1(f1_s3_int_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK625]),skolemize(U_5056,sK625)],[f_1885_2]) ).
fof(f_1885_4,plain,
( ( ~ p1_s3_int_1(k6_xcmplx_0(sK625,np__1))
| ~ sP902 )
& ( p1_s3_int_1(sK625)
| ~ sP902 )
& ( r1_xreal_0(sK625,f1_s3_int_1)
| ~ sP902 )
& ( v1_int_1(sK625)
| ~ sP902 )
& ! [U_5057] :
( p1_s3_int_1(U_5057)
| ~ r1_xreal_0(U_5057,f1_s3_int_1)
| ~ v1_int_1(U_5057)
| sP902
| ~ p1_s3_int_1(f1_s3_int_1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP902])],[f_1885_3]) ).
cnf(f_1885_5,plain,
( p1_s3_int_1(U_5057)
| ~ r1_xreal_0(U_5057,f1_s3_int_1)
| ~ v1_int_1(U_5057)
| sP902
| ~ p1_s3_int_1(f1_s3_int_1) ),
inference(clausify,[status(thm)],[f_1885_4]) ).
cnf(f_1885_6,plain,
( v1_int_1(sK625)
| ~ sP902 ),
inference(clausify,[status(thm)],[f_1885_4]) ).
cnf(f_1885_7,plain,
( r1_xreal_0(sK625,f1_s3_int_1)
| ~ sP902 ),
inference(clausify,[status(thm)],[f_1885_4]) ).
cnf(f_1885_8,plain,
( p1_s3_int_1(sK625)
| ~ sP902 ),
inference(clausify,[status(thm)],[f_1885_4]) ).
cnf(f_1885_9,plain,
( ~ p1_s3_int_1(k6_xcmplx_0(sK625,np__1))
| ~ sP902 ),
inference(clausify,[status(thm)],[f_1885_4]) ).
fof(f_1886_1,plain,
( ! [A] :
( p1_s4_int_1(A)
| ~ v1_int_1(A) )
| ? [A] :
( ( ~ p1_s4_int_1(k2_xcmplx_0(A,np__1))
| ~ p1_s4_int_1(k6_xcmplx_0(A,np__1)) )
& p1_s4_int_1(A)
& v1_int_1(A) )
| ~ p1_s4_int_1(f1_s4_int_1) ),
inference(fof_nnf,[status(thm)],[s4_int_1]) ).
fof(f_1886_2,plain,
( ! [U_5059] :
( p1_s4_int_1(U_5059)
| ~ v1_int_1(U_5059) )
| ? [U_5058] :
( ( ~ p1_s4_int_1(k2_xcmplx_0(U_5058,np__1))
| ~ p1_s4_int_1(k6_xcmplx_0(U_5058,np__1)) )
& p1_s4_int_1(U_5058)
& v1_int_1(U_5058) )
| ~ p1_s4_int_1(f1_s4_int_1) ),
inference(variable_rename,[status(thm)],[f_1886_1]) ).
fof(f_1886_3,plain,
( ! [U_5059] :
( p1_s4_int_1(U_5059)
| ~ v1_int_1(U_5059) )
| ( ( ~ p1_s4_int_1(k2_xcmplx_0(sK626,np__1))
| ~ p1_s4_int_1(k6_xcmplx_0(sK626,np__1)) )
& p1_s4_int_1(sK626)
& v1_int_1(sK626) )
| ~ p1_s4_int_1(f1_s4_int_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK626]),skolemize(U_5058,sK626)],[f_1886_2]) ).
fof(f_1886_4,plain,
( ( ~ p1_s4_int_1(k2_xcmplx_0(sK626,np__1))
| ~ p1_s4_int_1(k6_xcmplx_0(sK626,np__1))
| ~ sP903 )
& ( p1_s4_int_1(sK626)
| ~ sP903 )
& ( v1_int_1(sK626)
| ~ sP903 )
& ! [U_5059] :
( p1_s4_int_1(U_5059)
| ~ v1_int_1(U_5059)
| sP903
| ~ p1_s4_int_1(f1_s4_int_1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP903])],[f_1886_3]) ).
cnf(f_1886_5,plain,
( p1_s4_int_1(U_5059)
| ~ v1_int_1(U_5059)
| sP903
| ~ p1_s4_int_1(f1_s4_int_1) ),
inference(clausify,[status(thm)],[f_1886_4]) ).
cnf(f_1886_6,plain,
( v1_int_1(sK626)
| ~ sP903 ),
inference(clausify,[status(thm)],[f_1886_4]) ).
cnf(f_1886_7,plain,
( p1_s4_int_1(sK626)
| ~ sP903 ),
inference(clausify,[status(thm)],[f_1886_4]) ).
cnf(f_1886_8,plain,
( ~ p1_s4_int_1(k2_xcmplx_0(sK626,np__1))
| ~ p1_s4_int_1(k6_xcmplx_0(sK626,np__1))
| ~ sP903 ),
inference(clausify,[status(thm)],[f_1886_4]) ).
fof(f_1887_1,plain,
( ? [A] :
( ! [B] :
( r1_xreal_0(A,B)
| ~ p1_s5_int_1(B)
| ~ v1_int_1(B) )
& p1_s5_int_1(A)
& v1_int_1(A) )
| ! [A] :
( ~ p1_s5_int_1(A)
| ~ v1_int_1(A) )
| ? [A] :
( ~ r1_xreal_0(f1_s5_int_1,A)
& p1_s5_int_1(A)
& v1_int_1(A) ) ),
inference(fof_nnf,[status(thm)],[s5_int_1]) ).
fof(f_1887_2,plain,
( ? [U_5063] :
( ! [U_5062] :
( r1_xreal_0(U_5063,U_5062)
| ~ p1_s5_int_1(U_5062)
| ~ v1_int_1(U_5062) )
& p1_s5_int_1(U_5063)
& v1_int_1(U_5063) )
| ! [U_5061] :
( ~ p1_s5_int_1(U_5061)
| ~ v1_int_1(U_5061) )
| ? [U_5060] :
( ~ r1_xreal_0(f1_s5_int_1,U_5060)
& p1_s5_int_1(U_5060)
& v1_int_1(U_5060) ) ),
inference(variable_rename,[status(thm)],[f_1887_1]) ).
fof(f_1887_3,plain,
( ? [U_5063] :
( ! [U_5062] :
( r1_xreal_0(U_5063,U_5062)
| ~ p1_s5_int_1(U_5062)
| ~ v1_int_1(U_5062) )
& p1_s5_int_1(U_5063)
& v1_int_1(U_5063) )
| ! [U_5061] :
( ~ p1_s5_int_1(U_5061)
| ~ v1_int_1(U_5061) )
| ( ~ r1_xreal_0(f1_s5_int_1,sK627)
& p1_s5_int_1(sK627)
& v1_int_1(sK627) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK627]),skolemize(U_5060,sK627)],[f_1887_2]) ).
fof(f_1887_4,plain,
( ( ! [U_5062] :
( r1_xreal_0(sK628,U_5062)
| ~ p1_s5_int_1(U_5062)
| ~ v1_int_1(U_5062) )
& p1_s5_int_1(sK628)
& v1_int_1(sK628) )
| ! [U_5061] :
( ~ p1_s5_int_1(U_5061)
| ~ v1_int_1(U_5061) )
| ( ~ r1_xreal_0(f1_s5_int_1,sK627)
& p1_s5_int_1(sK627)
& v1_int_1(sK627) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK628]),skolemize(U_5063,sK628)],[f_1887_3]) ).
fof(f_1887_5,plain,
( ! [U_5062] :
( r1_xreal_0(sK628,U_5062)
| ~ p1_s5_int_1(U_5062)
| ~ v1_int_1(U_5062)
| ~ sP905(U_5062) )
& ! [U_5062] :
( p1_s5_int_1(sK628)
| ~ sP905(U_5062) )
& ! [U_5062] :
( v1_int_1(sK628)
| ~ sP905(U_5062) )
& ( ~ r1_xreal_0(f1_s5_int_1,sK627)
| ~ sP904 )
& ( p1_s5_int_1(sK627)
| ~ sP904 )
& ( v1_int_1(sK627)
| ~ sP904 )
& ! [U_5061,U_5062] :
( sP905(U_5062)
| ~ p1_s5_int_1(U_5061)
| ~ v1_int_1(U_5061)
| sP904 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP904,sP905])],[f_1887_4]) ).
cnf(f_1887_6,plain,
( sP905(U_5062)
| ~ p1_s5_int_1(U_5061)
| ~ v1_int_1(U_5061)
| sP904 ),
inference(clausify,[status(thm)],[f_1887_5]) ).
cnf(f_1887_7,plain,
( v1_int_1(sK627)
| ~ sP904 ),
inference(clausify,[status(thm)],[f_1887_5]) ).
cnf(f_1887_8,plain,
( p1_s5_int_1(sK627)
| ~ sP904 ),
inference(clausify,[status(thm)],[f_1887_5]) ).
cnf(f_1887_9,plain,
( ~ r1_xreal_0(f1_s5_int_1,sK627)
| ~ sP904 ),
inference(clausify,[status(thm)],[f_1887_5]) ).
cnf(f_1887_10,plain,
( v1_int_1(sK628)
| ~ sP905(U_5062) ),
inference(clausify,[status(thm)],[f_1887_5]) ).
cnf(f_1887_11,plain,
( p1_s5_int_1(sK628)
| ~ sP905(U_5062) ),
inference(clausify,[status(thm)],[f_1887_5]) ).
cnf(f_1887_12,plain,
( r1_xreal_0(sK628,U_5062)
| ~ p1_s5_int_1(U_5062)
| ~ v1_int_1(U_5062)
| ~ sP905(U_5062) ),
inference(clausify,[status(thm)],[f_1887_5]) ).
fof(f_1888_1,plain,
( ? [A] :
( ! [B] :
( r1_xreal_0(B,A)
| ~ p1_s6_int_1(B)
| ~ v1_int_1(B) )
& p1_s6_int_1(A)
& v1_int_1(A) )
| ! [A] :
( ~ p1_s6_int_1(A)
| ~ v1_int_1(A) )
| ? [A] :
( ~ r1_xreal_0(A,f1_s6_int_1)
& p1_s6_int_1(A)
& v1_int_1(A) ) ),
inference(fof_nnf,[status(thm)],[s6_int_1]) ).
fof(f_1888_2,plain,
( ? [U_5067] :
( ! [U_5066] :
( r1_xreal_0(U_5066,U_5067)
| ~ p1_s6_int_1(U_5066)
| ~ v1_int_1(U_5066) )
& p1_s6_int_1(U_5067)
& v1_int_1(U_5067) )
| ! [U_5065] :
( ~ p1_s6_int_1(U_5065)
| ~ v1_int_1(U_5065) )
| ? [U_5064] :
( ~ r1_xreal_0(U_5064,f1_s6_int_1)
& p1_s6_int_1(U_5064)
& v1_int_1(U_5064) ) ),
inference(variable_rename,[status(thm)],[f_1888_1]) ).
fof(f_1888_3,plain,
( ? [U_5067] :
( ! [U_5066] :
( r1_xreal_0(U_5066,U_5067)
| ~ p1_s6_int_1(U_5066)
| ~ v1_int_1(U_5066) )
& p1_s6_int_1(U_5067)
& v1_int_1(U_5067) )
| ! [U_5065] :
( ~ p1_s6_int_1(U_5065)
| ~ v1_int_1(U_5065) )
| ( ~ r1_xreal_0(sK629,f1_s6_int_1)
& p1_s6_int_1(sK629)
& v1_int_1(sK629) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK629]),skolemize(U_5064,sK629)],[f_1888_2]) ).
fof(f_1888_4,plain,
( ( ! [U_5066] :
( r1_xreal_0(U_5066,sK630)
| ~ p1_s6_int_1(U_5066)
| ~ v1_int_1(U_5066) )
& p1_s6_int_1(sK630)
& v1_int_1(sK630) )
| ! [U_5065] :
( ~ p1_s6_int_1(U_5065)
| ~ v1_int_1(U_5065) )
| ( ~ r1_xreal_0(sK629,f1_s6_int_1)
& p1_s6_int_1(sK629)
& v1_int_1(sK629) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK630]),skolemize(U_5067,sK630)],[f_1888_3]) ).
fof(f_1888_5,plain,
( ! [U_5066] :
( r1_xreal_0(U_5066,sK630)
| ~ p1_s6_int_1(U_5066)
| ~ v1_int_1(U_5066)
| ~ sP907(U_5066) )
& ! [U_5066] :
( p1_s6_int_1(sK630)
| ~ sP907(U_5066) )
& ! [U_5066] :
( v1_int_1(sK630)
| ~ sP907(U_5066) )
& ( ~ r1_xreal_0(sK629,f1_s6_int_1)
| ~ sP906 )
& ( p1_s6_int_1(sK629)
| ~ sP906 )
& ( v1_int_1(sK629)
| ~ sP906 )
& ! [U_5065,U_5066] :
( sP907(U_5066)
| ~ p1_s6_int_1(U_5065)
| ~ v1_int_1(U_5065)
| sP906 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP906,sP907])],[f_1888_4]) ).
cnf(f_1888_6,plain,
( sP907(U_5066)
| ~ p1_s6_int_1(U_5065)
| ~ v1_int_1(U_5065)
| sP906 ),
inference(clausify,[status(thm)],[f_1888_5]) ).
cnf(f_1888_7,plain,
( v1_int_1(sK629)
| ~ sP906 ),
inference(clausify,[status(thm)],[f_1888_5]) ).
cnf(f_1888_8,plain,
( p1_s6_int_1(sK629)
| ~ sP906 ),
inference(clausify,[status(thm)],[f_1888_5]) ).
cnf(f_1888_9,plain,
( ~ r1_xreal_0(sK629,f1_s6_int_1)
| ~ sP906 ),
inference(clausify,[status(thm)],[f_1888_5]) ).
cnf(f_1888_10,plain,
( v1_int_1(sK630)
| ~ sP907(U_5066) ),
inference(clausify,[status(thm)],[f_1888_5]) ).
cnf(f_1888_11,plain,
( p1_s6_int_1(sK630)
| ~ sP907(U_5066) ),
inference(clausify,[status(thm)],[f_1888_5]) ).
cnf(f_1888_12,plain,
( r1_xreal_0(U_5066,sK630)
| ~ p1_s6_int_1(U_5066)
| ~ v1_int_1(U_5066)
| ~ sP907(U_5066) ),
inference(clausify,[status(thm)],[f_1888_5]) ).
fof(f_1889_1,plain,
! [A,B] :
( r2_int_1(A,A)
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r2_int_1]) ).
fof(f_1889_2,plain,
! [U_5069,U_5068] :
( r2_int_1(U_5069,U_5069)
| ~ v1_int_1(U_5068)
| ~ v1_int_1(U_5069) ),
inference(variable_rename,[status(thm)],[f_1889_1]) ).
fof(f_1889_3,plain,
! [U_5069] :
( ! [U_5068] : ~ v1_int_1(U_5068)
| ~ v1_int_1(U_5069)
| r2_int_1(U_5069,U_5069) ),
inference(miniscope,[status(thm)],[f_1889_2]) ).
fof(f_1889_4,plain,
! [U_5068,U_5069] :
( ~ v1_int_1(U_5068)
| ~ v1_int_1(U_5069)
| r2_int_1(U_5069,U_5069) ),
inference(definitional_conversion,[status(esa)],[f_1889_3]) ).
cnf(f_1889_5,plain,
( ~ v1_int_1(U_5068)
| ~ v1_int_1(U_5069)
| r2_int_1(U_5069,U_5069) ),
inference(clausify,[status(thm)],[f_1889_4]) ).
fof(f_1890_1,plain,
! [A] :
( v1_int_1(k1_int_1(A))
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_int_1]) ).
fof(f_1890_2,plain,
! [U_5070] :
( v1_int_1(k1_int_1(U_5070))
| ~ v1_xreal_0(U_5070) ),
inference(variable_rename,[status(thm)],[f_1890_1]) ).
fof(f_1890_3,plain,
! [U_5070] :
( v1_int_1(k1_int_1(U_5070))
| ~ v1_xreal_0(U_5070) ),
inference(definitional_conversion,[status(esa)],[f_1890_2]) ).
cnf(f_1890_4,plain,
( v1_int_1(k1_int_1(U_5070))
| ~ v1_xreal_0(U_5070) ),
inference(clausify,[status(thm)],[f_1890_3]) ).
fof(f_1891_1,plain,
! [A] :
( v1_int_1(k2_int_1(A))
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_int_1]) ).
fof(f_1891_2,plain,
! [U_5071] :
( v1_int_1(k2_int_1(U_5071))
| ~ v1_xreal_0(U_5071) ),
inference(variable_rename,[status(thm)],[f_1891_1]) ).
fof(f_1891_3,plain,
! [U_5071] :
( v1_int_1(k2_int_1(U_5071))
| ~ v1_xreal_0(U_5071) ),
inference(definitional_conversion,[status(esa)],[f_1891_2]) ).
cnf(f_1891_4,plain,
( v1_int_1(k2_int_1(U_5071))
| ~ v1_xreal_0(U_5071) ),
inference(clausify,[status(thm)],[f_1891_3]) ).
fof(f_1892_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_int_1]) ).
fof(f_1892_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1892_1]) ).
cnf(f_1892_3,plain,
$true,
inference(clausify,[status(thm)],[f_1892_2]) ).
fof(f_1893_1,plain,
! [A] :
( m1_subset_1(k4_int_1(A),k1_numbers)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_int_1]) ).
fof(f_1893_2,plain,
! [U_5072] :
( m1_subset_1(k4_int_1(U_5072),k1_numbers)
| ~ v1_xreal_0(U_5072) ),
inference(variable_rename,[status(thm)],[f_1893_1]) ).
fof(f_1893_3,plain,
! [U_5072] :
( m1_subset_1(k4_int_1(U_5072),k1_numbers)
| ~ v1_xreal_0(U_5072) ),
inference(definitional_conversion,[status(esa)],[f_1893_2]) ).
cnf(f_1893_4,plain,
( m1_subset_1(k4_int_1(U_5072),k1_numbers)
| ~ v1_xreal_0(U_5072) ),
inference(clausify,[status(thm)],[f_1893_3]) ).
fof(f_1894_1,plain,
! [A] :
( k4_int_1(A) = k3_int_1(A)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_int_1]) ).
fof(f_1894_2,plain,
! [U_5073] :
( k4_int_1(U_5073) = k3_int_1(U_5073)
| ~ v1_xreal_0(U_5073) ),
inference(variable_rename,[status(thm)],[f_1894_1]) ).
fof(f_1894_3,plain,
! [U_5073] :
( k4_int_1(U_5073) = k3_int_1(U_5073)
| ~ v1_xreal_0(U_5073) ),
inference(definitional_conversion,[status(esa)],[f_1894_2]) ).
cnf(f_1894_4,plain,
( k4_int_1(U_5073) = k3_int_1(U_5073)
| ~ v1_xreal_0(U_5073) ),
inference(clausify,[status(thm)],[f_1894_3]) ).
fof(f_1895_1,plain,
! [A,B] :
( v1_int_1(k5_int_1(A,B))
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_int_1]) ).
fof(f_1895_2,plain,
! [U_5075,U_5074] :
( v1_int_1(k5_int_1(U_5075,U_5074))
| ~ v1_int_1(U_5074)
| ~ v1_int_1(U_5075) ),
inference(variable_rename,[status(thm)],[f_1895_1]) ).
fof(f_1895_3,plain,
! [U_5075,U_5074] :
( v1_int_1(k5_int_1(U_5075,U_5074))
| ~ v1_int_1(U_5074)
| ~ v1_int_1(U_5075) ),
inference(definitional_conversion,[status(esa)],[f_1895_2]) ).
cnf(f_1895_4,plain,
( v1_int_1(k5_int_1(U_5075,U_5074))
| ~ v1_int_1(U_5074)
| ~ v1_int_1(U_5075) ),
inference(clausify,[status(thm)],[f_1895_3]) ).
fof(f_1896_1,plain,
! [A,B] :
( v1_int_1(k6_int_1(A,B))
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_int_1]) ).
fof(f_1896_2,plain,
! [U_5077,U_5076] :
( v1_int_1(k6_int_1(U_5077,U_5076))
| ~ v1_int_1(U_5076)
| ~ v1_int_1(U_5077) ),
inference(variable_rename,[status(thm)],[f_1896_1]) ).
fof(f_1896_3,plain,
! [U_5077,U_5076] :
( v1_int_1(k6_int_1(U_5077,U_5076))
| ~ v1_int_1(U_5076)
| ~ v1_int_1(U_5077) ),
inference(definitional_conversion,[status(esa)],[f_1896_2]) ).
cnf(f_1896_4,plain,
( v1_int_1(k6_int_1(U_5077,U_5076))
| ~ v1_int_1(U_5076)
| ~ v1_int_1(U_5077) ),
inference(clausify,[status(thm)],[f_1896_3]) ).
fof(f_1897_1,plain,
? [A] : v1_card_1(A),
inference(fof_nnf,[status(thm)],[rc1_card_1]) ).
fof(f_1897_2,plain,
? [U_5078] : v1_card_1(U_5078),
inference(variable_rename,[status(thm)],[f_1897_1]) ).
fof(f_1897_3,plain,
v1_card_1(sK631),
inference(skolemize,[status(esa),new_symbols(skolem,[sK631]),skolemize(U_5078,sK631)],[f_1897_2]) ).
fof(f_1897_4,plain,
v1_card_1(sK631),
inference(definitional_conversion,[status(esa)],[f_1897_3]) ).
cnf(f_1897_5,plain,
v1_card_1(sK631),
inference(clausify,[status(thm)],[f_1897_4]) ).
fof(f_1898_1,plain,
! [A] :
( ( v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ v1_card_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_card_1]) ).
fof(f_1898_2,plain,
! [U_5079] :
( ( v3_ordinal1(U_5079)
& v2_ordinal1(U_5079)
& v1_ordinal1(U_5079) )
| ~ v1_card_1(U_5079) ),
inference(variable_rename,[status(thm)],[f_1898_1]) ).
fof(f_1898_3,plain,
( ! [U_5079] :
( v3_ordinal1(U_5079)
| ~ sP908(U_5079) )
& ! [U_5079] :
( v2_ordinal1(U_5079)
| ~ sP908(U_5079) )
& ! [U_5079] :
( v1_ordinal1(U_5079)
| ~ sP908(U_5079) )
& ! [U_5079] :
( sP908(U_5079)
| ~ v1_card_1(U_5079) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP908])],[f_1898_2]) ).
cnf(f_1898_4,plain,
( sP908(U_5079)
| ~ v1_card_1(U_5079) ),
inference(clausify,[status(thm)],[f_1898_3]) ).
cnf(f_1898_5,plain,
( v1_ordinal1(U_5079)
| ~ sP908(U_5079) ),
inference(clausify,[status(thm)],[f_1898_3]) ).
cnf(f_1898_6,plain,
( v2_ordinal1(U_5079)
| ~ sP908(U_5079) ),
inference(clausify,[status(thm)],[f_1898_3]) ).
cnf(f_1898_7,plain,
( v3_ordinal1(U_5079)
| ~ sP908(U_5079) ),
inference(clausify,[status(thm)],[f_1898_3]) ).
fof(f_1899_1,plain,
! [A] :
( ( v1_card_1(k3_card_1(A))
& v3_ordinal1(k3_card_1(A))
& v2_ordinal1(k3_card_1(A))
& v1_ordinal1(k3_card_1(A)) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[fc1_card_1]) ).
fof(f_1899_2,plain,
! [U_5080] :
( ( v1_card_1(k3_card_1(U_5080))
& v3_ordinal1(k3_card_1(U_5080))
& v2_ordinal1(k3_card_1(U_5080))
& v1_ordinal1(k3_card_1(U_5080)) )
| ~ v3_ordinal1(U_5080) ),
inference(variable_rename,[status(thm)],[f_1899_1]) ).
fof(f_1899_3,plain,
( ! [U_5080] :
( v1_card_1(k3_card_1(U_5080))
| ~ sP909(U_5080) )
& ! [U_5080] :
( v3_ordinal1(k3_card_1(U_5080))
| ~ sP909(U_5080) )
& ! [U_5080] :
( v2_ordinal1(k3_card_1(U_5080))
| ~ sP909(U_5080) )
& ! [U_5080] :
( v1_ordinal1(k3_card_1(U_5080))
| ~ sP909(U_5080) )
& ! [U_5080] :
( sP909(U_5080)
| ~ v3_ordinal1(U_5080) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP909])],[f_1899_2]) ).
cnf(f_1899_4,plain,
( sP909(U_5080)
| ~ v3_ordinal1(U_5080) ),
inference(clausify,[status(thm)],[f_1899_3]) ).
cnf(f_1899_5,plain,
( v1_ordinal1(k3_card_1(U_5080))
| ~ sP909(U_5080) ),
inference(clausify,[status(thm)],[f_1899_3]) ).
cnf(f_1899_6,plain,
( v2_ordinal1(k3_card_1(U_5080))
| ~ sP909(U_5080) ),
inference(clausify,[status(thm)],[f_1899_3]) ).
cnf(f_1899_7,plain,
( v3_ordinal1(k3_card_1(U_5080))
| ~ sP909(U_5080) ),
inference(clausify,[status(thm)],[f_1899_3]) ).
cnf(f_1899_8,plain,
( v1_card_1(k3_card_1(U_5080))
| ~ sP909(U_5080) ),
inference(clausify,[status(thm)],[f_1899_3]) ).
fof(f_1900_1,plain,
! [A] :
( ( v1_card_1(A)
& ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v4_ordinal2(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[cc2_card_1]) ).
fof(f_1900_2,plain,
! [U_5081] :
( ( v1_card_1(U_5081)
& ~ v3_xreal_0(U_5081)
& v1_xreal_0(U_5081)
& v1_xcmplx_0(U_5081)
& v4_ordinal2(U_5081)
& v3_ordinal1(U_5081)
& v2_ordinal1(U_5081)
& v1_ordinal1(U_5081) )
| ~ m1_subset_1(U_5081,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1900_1]) ).
fof(f_1900_3,plain,
( ! [U_5081] :
( v1_card_1(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( ~ v3_xreal_0(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( v1_xreal_0(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( v1_xcmplx_0(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( v4_ordinal2(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( v3_ordinal1(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( v2_ordinal1(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( v1_ordinal1(U_5081)
| ~ sP910(U_5081) )
& ! [U_5081] :
( sP910(U_5081)
| ~ m1_subset_1(U_5081,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP910])],[f_1900_2]) ).
cnf(f_1900_4,plain,
( sP910(U_5081)
| ~ m1_subset_1(U_5081,k5_numbers) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_5,plain,
( v1_ordinal1(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_6,plain,
( v2_ordinal1(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_7,plain,
( v3_ordinal1(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_8,plain,
( v4_ordinal2(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_9,plain,
( v1_xcmplx_0(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_10,plain,
( v1_xreal_0(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_11,plain,
( ~ v3_xreal_0(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
cnf(f_1900_12,plain,
( v1_card_1(U_5081)
| ~ sP910(U_5081) ),
inference(clausify,[status(thm)],[f_1900_3]) ).
fof(f_1901_1,plain,
! [A] :
( ( v1_card_1(A)
& ~ v3_xreal_0(A)
& v1_xreal_0(A)
& v1_finset_1(A)
& v1_xcmplx_0(A)
& v4_ordinal2(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) )
| ~ m1_subset_1(A,k5_numbers) ),
inference(fof_nnf,[status(thm)],[cc3_card_1]) ).
fof(f_1901_2,plain,
! [U_5082] :
( ( v1_card_1(U_5082)
& ~ v3_xreal_0(U_5082)
& v1_xreal_0(U_5082)
& v1_finset_1(U_5082)
& v1_xcmplx_0(U_5082)
& v4_ordinal2(U_5082)
& v3_ordinal1(U_5082)
& v2_ordinal1(U_5082)
& v1_ordinal1(U_5082) )
| ~ m1_subset_1(U_5082,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1901_1]) ).
fof(f_1901_3,plain,
( ! [U_5082] :
( v1_card_1(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( ~ v3_xreal_0(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v1_xreal_0(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v1_finset_1(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v1_xcmplx_0(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v4_ordinal2(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v3_ordinal1(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v2_ordinal1(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( v1_ordinal1(U_5082)
| ~ sP911(U_5082) )
& ! [U_5082] :
( sP911(U_5082)
| ~ m1_subset_1(U_5082,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP911])],[f_1901_2]) ).
cnf(f_1901_4,plain,
( sP911(U_5082)
| ~ m1_subset_1(U_5082,k5_numbers) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_5,plain,
( v1_ordinal1(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_6,plain,
( v2_ordinal1(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_7,plain,
( v3_ordinal1(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_8,plain,
( v4_ordinal2(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_9,plain,
( v1_xcmplx_0(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_10,plain,
( v1_finset_1(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_11,plain,
( v1_xreal_0(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_12,plain,
( ~ v3_xreal_0(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
cnf(f_1901_13,plain,
( v1_card_1(U_5082)
| ~ sP911(U_5082) ),
inference(clausify,[status(thm)],[f_1901_3]) ).
fof(f_1902_1,plain,
? [A] :
( v1_card_1(A)
& v1_finset_1(A)
& v3_ordinal1(A)
& v2_ordinal1(A)
& v1_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[rc2_card_1]) ).
fof(f_1902_2,plain,
? [U_5083] :
( v1_card_1(U_5083)
& v1_finset_1(U_5083)
& v3_ordinal1(U_5083)
& v2_ordinal1(U_5083)
& v1_ordinal1(U_5083) ),
inference(variable_rename,[status(thm)],[f_1902_1]) ).
fof(f_1902_3,plain,
( v1_card_1(sK632)
& v1_finset_1(sK632)
& v3_ordinal1(sK632)
& v2_ordinal1(sK632)
& v1_ordinal1(sK632) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK632]),skolemize(U_5083,sK632)],[f_1902_2]) ).
fof(f_1902_4,plain,
( v1_card_1(sK632)
& v1_finset_1(sK632)
& v3_ordinal1(sK632)
& v2_ordinal1(sK632)
& v1_ordinal1(sK632) ),
inference(definitional_conversion,[status(esa)],[f_1902_3]) ).
cnf(f_1902_5,plain,
v1_ordinal1(sK632),
inference(clausify,[status(thm)],[f_1902_4]) ).
cnf(f_1902_6,plain,
v2_ordinal1(sK632),
inference(clausify,[status(thm)],[f_1902_4]) ).
cnf(f_1902_7,plain,
v3_ordinal1(sK632),
inference(clausify,[status(thm)],[f_1902_4]) ).
cnf(f_1902_8,plain,
v1_finset_1(sK632),
inference(clausify,[status(thm)],[f_1902_4]) ).
cnf(f_1902_9,plain,
v1_card_1(sK632),
inference(clausify,[status(thm)],[f_1902_4]) ).
fof(f_1903_1,plain,
! [A] :
( ( v1_card_1(k1_card_1(A))
& v1_finset_1(k1_card_1(A))
& v3_ordinal1(k1_card_1(A))
& v2_ordinal1(k1_card_1(A))
& v1_ordinal1(k1_card_1(A)) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc2_card_1]) ).
fof(f_1903_2,plain,
! [U_5084] :
( ( v1_card_1(k1_card_1(U_5084))
& v1_finset_1(k1_card_1(U_5084))
& v3_ordinal1(k1_card_1(U_5084))
& v2_ordinal1(k1_card_1(U_5084))
& v1_ordinal1(k1_card_1(U_5084)) )
| ~ v1_finset_1(U_5084) ),
inference(variable_rename,[status(thm)],[f_1903_1]) ).
fof(f_1903_3,plain,
( ! [U_5084] :
( v1_card_1(k1_card_1(U_5084))
| ~ sP912(U_5084) )
& ! [U_5084] :
( v1_finset_1(k1_card_1(U_5084))
| ~ sP912(U_5084) )
& ! [U_5084] :
( v3_ordinal1(k1_card_1(U_5084))
| ~ sP912(U_5084) )
& ! [U_5084] :
( v2_ordinal1(k1_card_1(U_5084))
| ~ sP912(U_5084) )
& ! [U_5084] :
( v1_ordinal1(k1_card_1(U_5084))
| ~ sP912(U_5084) )
& ! [U_5084] :
( sP912(U_5084)
| ~ v1_finset_1(U_5084) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP912])],[f_1903_2]) ).
cnf(f_1903_4,plain,
( sP912(U_5084)
| ~ v1_finset_1(U_5084) ),
inference(clausify,[status(thm)],[f_1903_3]) ).
cnf(f_1903_5,plain,
( v1_ordinal1(k1_card_1(U_5084))
| ~ sP912(U_5084) ),
inference(clausify,[status(thm)],[f_1903_3]) ).
cnf(f_1903_6,plain,
( v2_ordinal1(k1_card_1(U_5084))
| ~ sP912(U_5084) ),
inference(clausify,[status(thm)],[f_1903_3]) ).
cnf(f_1903_7,plain,
( v3_ordinal1(k1_card_1(U_5084))
| ~ sP912(U_5084) ),
inference(clausify,[status(thm)],[f_1903_3]) ).
cnf(f_1903_8,plain,
( v1_finset_1(k1_card_1(U_5084))
| ~ sP912(U_5084) ),
inference(clausify,[status(thm)],[f_1903_3]) ).
cnf(f_1903_9,plain,
( v1_card_1(k1_card_1(U_5084))
| ~ sP912(U_5084) ),
inference(clausify,[status(thm)],[f_1903_3]) ).
fof(f_1904_1,plain,
! [A] :
( ( v1_card_1(A)
| ! [B] :
( ? [C] :
( ~ r1_ordinal1(B,C)
& r2_wellord2(C,B)
& v3_ordinal1(C) )
| A != B
| ~ v3_ordinal1(B) ) )
& ( ? [B] :
( ! [C] :
( r1_ordinal1(B,C)
| ~ r2_wellord2(C,B)
| ~ v3_ordinal1(C) )
& A = B
& v3_ordinal1(B) )
| ~ v1_card_1(A) ) ),
inference(fof_nnf,[status(thm)],[d1_card_1]) ).
fof(f_1904_2,plain,
! [U_5089] :
( ( v1_card_1(U_5089)
| ! [U_5088] :
( ? [U_5087] :
( ~ r1_ordinal1(U_5088,U_5087)
& r2_wellord2(U_5087,U_5088)
& v3_ordinal1(U_5087) )
| U_5089 != U_5088
| ~ v3_ordinal1(U_5088) ) )
& ( ? [U_5086] :
( ! [U_5085] :
( r1_ordinal1(U_5086,U_5085)
| ~ r2_wellord2(U_5085,U_5086)
| ~ v3_ordinal1(U_5085) )
& U_5089 = U_5086
& v3_ordinal1(U_5086) )
| ~ v1_card_1(U_5089) ) ),
inference(variable_rename,[status(thm)],[f_1904_1]) ).
fof(f_1904_3,plain,
( ! [U_5091] :
( v1_card_1(U_5091)
| ! [U_5088] :
( ? [U_5087] :
( ~ r1_ordinal1(U_5088,U_5087)
& r2_wellord2(U_5087,U_5088)
& v3_ordinal1(U_5087) )
| U_5091 != U_5088
| ~ v3_ordinal1(U_5088) ) )
& ! [U_5090] :
( ? [U_5086] :
( ! [U_5085] :
( r1_ordinal1(U_5086,U_5085)
| ~ r2_wellord2(U_5085,U_5086)
| ~ v3_ordinal1(U_5085) )
& U_5090 = U_5086
& v3_ordinal1(U_5086) )
| ~ v1_card_1(U_5090) ) ),
inference(miniscope,[status(thm)],[f_1904_2]) ).
fof(f_1904_4,plain,
( ! [U_5091] :
( v1_card_1(U_5091)
| ! [U_5088] :
( ? [U_5087] :
( ~ r1_ordinal1(U_5088,U_5087)
& r2_wellord2(U_5087,U_5088)
& v3_ordinal1(U_5087) )
| U_5091 != U_5088
| ~ v3_ordinal1(U_5088) ) )
& ! [U_5090] :
( ( ! [U_5085] :
( r1_ordinal1(sK633(U_5090),U_5085)
| ~ r2_wellord2(U_5085,sK633(U_5090))
| ~ v3_ordinal1(U_5085) )
& U_5090 = sK633(U_5090)
& v3_ordinal1(sK633(U_5090)) )
| ~ v1_card_1(U_5090) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK633]),skolemize(U_5086,sK633(U_5090))],[f_1904_3]) ).
fof(f_1904_5,plain,
( ! [U_5091] :
( v1_card_1(U_5091)
| ! [U_5088] :
( ( ~ r1_ordinal1(U_5088,sK634(U_5091,U_5088))
& r2_wellord2(sK634(U_5091,U_5088),U_5088)
& v3_ordinal1(sK634(U_5091,U_5088)) )
| U_5091 != U_5088
| ~ v3_ordinal1(U_5088) ) )
& ! [U_5090] :
( ( ! [U_5085] :
( r1_ordinal1(sK633(U_5090),U_5085)
| ~ r2_wellord2(U_5085,sK633(U_5090))
| ~ v3_ordinal1(U_5085) )
& U_5090 = sK633(U_5090)
& v3_ordinal1(sK633(U_5090)) )
| ~ v1_card_1(U_5090) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK634]),skolemize(U_5087,sK634(U_5091,U_5088))],[f_1904_4]) ).
fof(f_1904_6,plain,
( ! [U_5088,U_5091] :
( ~ r1_ordinal1(U_5088,sK634(U_5091,U_5088))
| ~ sP914(U_5088,U_5091) )
& ! [U_5088,U_5091] :
( r2_wellord2(sK634(U_5091,U_5088),U_5088)
| ~ sP914(U_5088,U_5091) )
& ! [U_5088,U_5091] :
( v3_ordinal1(sK634(U_5091,U_5088))
| ~ sP914(U_5088,U_5091) )
& ! [U_5085,U_5090] :
( r1_ordinal1(sK633(U_5090),U_5085)
| ~ r2_wellord2(U_5085,sK633(U_5090))
| ~ v3_ordinal1(U_5085)
| ~ sP913(U_5085,U_5090) )
& ! [U_5085,U_5090] :
( U_5090 = sK633(U_5090)
| ~ sP913(U_5085,U_5090) )
& ! [U_5085,U_5090] :
( v3_ordinal1(sK633(U_5090))
| ~ sP913(U_5085,U_5090) )
& ! [U_5088,U_5091] :
( v1_card_1(U_5091)
| sP914(U_5088,U_5091)
| U_5091 != U_5088
| ~ v3_ordinal1(U_5088) )
& ! [U_5085,U_5090] :
( sP913(U_5085,U_5090)
| ~ v1_card_1(U_5090) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP913,sP914])],[f_1904_5]) ).
cnf(f_1904_7,plain,
( sP913(U_5085,U_5090)
| ~ v1_card_1(U_5090) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_8,plain,
( v1_card_1(U_5091)
| sP914(U_5088,U_5091)
| U_5091 != U_5088
| ~ v3_ordinal1(U_5088) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_9,plain,
( v3_ordinal1(sK633(U_5090))
| ~ sP913(U_5085,U_5090) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_10,plain,
( U_5090 = sK633(U_5090)
| ~ sP913(U_5085,U_5090) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_11,plain,
( r1_ordinal1(sK633(U_5090),U_5085)
| ~ r2_wellord2(U_5085,sK633(U_5090))
| ~ v3_ordinal1(U_5085)
| ~ sP913(U_5085,U_5090) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_12,plain,
( v3_ordinal1(sK634(U_5091,U_5088))
| ~ sP914(U_5088,U_5091) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_13,plain,
( r2_wellord2(sK634(U_5091,U_5088),U_5088)
| ~ sP914(U_5088,U_5091) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
cnf(f_1904_14,plain,
( ~ r1_ordinal1(U_5088,sK634(U_5091,U_5088))
| ~ sP914(U_5088,U_5091) ),
inference(clausify,[status(thm)],[f_1904_6]) ).
fof(f_1905_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_card_1]) ).
fof(f_1905_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1905_1]) ).
cnf(f_1905_3,plain,
$true,
inference(clausify,[status(thm)],[f_1905_2]) ).
fof(f_1906_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_card_1]) ).
fof(f_1906_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1906_1]) ).
cnf(f_1906_3,plain,
$true,
inference(clausify,[status(thm)],[f_1906_2]) ).
fof(f_1907_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_card_1]) ).
fof(f_1907_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1907_1]) ).
cnf(f_1907_3,plain,
$true,
inference(clausify,[status(thm)],[f_1907_2]) ).
fof(f_1908_1,plain,
! [A] :
? [B] :
( r2_wellord2(A,B)
& v3_ordinal1(B) ),
inference(fof_nnf,[status(thm)],[t4_card_1]) ).
fof(f_1908_2,plain,
! [U_5093] :
? [U_5092] :
( r2_wellord2(U_5093,U_5092)
& v3_ordinal1(U_5092) ),
inference(variable_rename,[status(thm)],[f_1908_1]) ).
fof(f_1908_3,plain,
! [U_5093] :
( r2_wellord2(U_5093,sK635(U_5093))
& v3_ordinal1(sK635(U_5093)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK635]),skolemize(U_5092,sK635(U_5093))],[f_1908_2]) ).
fof(f_1908_4,plain,
( ! [U_5093] : r2_wellord2(U_5093,sK635(U_5093))
& ! [U_5093] : v3_ordinal1(sK635(U_5093)) ),
inference(definitional_conversion,[status(esa)],[f_1908_3]) ).
cnf(f_1908_5,plain,
v3_ordinal1(sK635(U_5093)),
inference(clausify,[status(thm)],[f_1908_4]) ).
cnf(f_1908_6,plain,
r2_wellord2(U_5093,sK635(U_5093)),
inference(clausify,[status(thm)],[f_1908_4]) ).
fof(f_1909_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_card_1]) ).
fof(f_1909_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1909_1]) ).
cnf(f_1909_3,plain,
$true,
inference(clausify,[status(thm)],[f_1909_2]) ).
fof(f_1910_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_card_1]) ).
fof(f_1910_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1910_1]) ).
cnf(f_1910_3,plain,
$true,
inference(clausify,[status(thm)],[f_1910_2]) ).
fof(f_1911_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_card_1]) ).
fof(f_1911_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1911_1]) ).
cnf(f_1911_3,plain,
$true,
inference(clausify,[status(thm)],[f_1911_2]) ).
fof(f_1912_1,plain,
! [A] :
( ! [B] :
( ( ( A = B
| ~ r2_wellord2(A,B) )
& ( r2_wellord2(A,B)
| A != B ) )
| ~ v1_card_1(B) )
| ~ v1_card_1(A) ),
inference(fof_nnf,[status(thm)],[t8_card_1]) ).
fof(f_1912_2,plain,
! [U_5095] :
( ! [U_5094] :
( ( ( U_5095 = U_5094
| ~ r2_wellord2(U_5095,U_5094) )
& ( r2_wellord2(U_5095,U_5094)
| U_5095 != U_5094 ) )
| ~ v1_card_1(U_5094) )
| ~ v1_card_1(U_5095) ),
inference(variable_rename,[status(thm)],[f_1912_1]) ).
fof(f_1912_3,plain,
( ! [U_5095,U_5094] :
( U_5095 = U_5094
| ~ r2_wellord2(U_5095,U_5094)
| ~ sP915(U_5095,U_5094) )
& ! [U_5095,U_5094] :
( r2_wellord2(U_5095,U_5094)
| U_5095 != U_5094
| ~ sP915(U_5095,U_5094) )
& ! [U_5095,U_5094] :
( sP915(U_5095,U_5094)
| ~ v1_card_1(U_5094)
| ~ v1_card_1(U_5095) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP915])],[f_1912_2]) ).
cnf(f_1912_4,plain,
( sP915(U_5095,U_5094)
| ~ v1_card_1(U_5094)
| ~ v1_card_1(U_5095) ),
inference(clausify,[status(thm)],[f_1912_3]) ).
cnf(f_1912_5,plain,
( r2_wellord2(U_5095,U_5094)
| U_5095 != U_5094
| ~ sP915(U_5095,U_5094) ),
inference(clausify,[status(thm)],[f_1912_3]) ).
cnf(f_1912_6,plain,
( U_5095 = U_5094
| ~ r2_wellord2(U_5095,U_5094)
| ~ sP915(U_5095,U_5094) ),
inference(clausify,[status(thm)],[f_1912_3]) ).
fof(f_1913_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_card_1]) ).
fof(f_1913_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1913_1]) ).
cnf(f_1913_3,plain,
$true,
inference(clausify,[status(thm)],[f_1913_2]) ).
fof(f_1914_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_card_1]) ).
fof(f_1914_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1914_1]) ).
cnf(f_1914_3,plain,
$true,
inference(clausify,[status(thm)],[f_1914_2]) ).
fof(f_1915_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_card_1]) ).
fof(f_1915_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1915_1]) ).
cnf(f_1915_3,plain,
$true,
inference(clausify,[status(thm)],[f_1915_2]) ).
fof(f_1916_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_card_1]) ).
fof(f_1916_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1916_1]) ).
cnf(f_1916_3,plain,
$true,
inference(clausify,[status(thm)],[f_1916_2]) ).
fof(f_1917_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(A,B)
| A = B
| ~ r1_tarski(A,B) )
& ( ( A != B
& r1_tarski(A,B) )
| ~ r2_hidden(A,B) ) )
| ~ v1_card_1(B) )
| ~ v1_card_1(A) ),
inference(fof_nnf,[status(thm)],[t13_card_1]) ).
fof(f_1917_2,plain,
! [U_5097] :
( ! [U_5096] :
( ( ( r2_hidden(U_5097,U_5096)
| U_5097 = U_5096
| ~ r1_tarski(U_5097,U_5096) )
& ( ( U_5097 != U_5096
& r1_tarski(U_5097,U_5096) )
| ~ r2_hidden(U_5097,U_5096) ) )
| ~ v1_card_1(U_5096) )
| ~ v1_card_1(U_5097) ),
inference(variable_rename,[status(thm)],[f_1917_1]) ).
fof(f_1917_3,plain,
( ! [U_5097,U_5096] :
( U_5097 != U_5096
| ~ sP916(U_5097,U_5096) )
& ! [U_5097,U_5096] :
( r1_tarski(U_5097,U_5096)
| ~ sP916(U_5097,U_5096) )
& ! [U_5097,U_5096] :
( r2_hidden(U_5097,U_5096)
| U_5097 = U_5096
| ~ r1_tarski(U_5097,U_5096)
| ~ sP917(U_5097,U_5096) )
& ! [U_5097,U_5096] :
( sP916(U_5097,U_5096)
| ~ r2_hidden(U_5097,U_5096)
| ~ sP917(U_5097,U_5096) )
& ! [U_5097,U_5096] :
( sP917(U_5097,U_5096)
| ~ v1_card_1(U_5096)
| ~ v1_card_1(U_5097) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP916,sP917])],[f_1917_2]) ).
cnf(f_1917_4,plain,
( sP917(U_5097,U_5096)
| ~ v1_card_1(U_5096)
| ~ v1_card_1(U_5097) ),
inference(clausify,[status(thm)],[f_1917_3]) ).
cnf(f_1917_5,plain,
( sP916(U_5097,U_5096)
| ~ r2_hidden(U_5097,U_5096)
| ~ sP917(U_5097,U_5096) ),
inference(clausify,[status(thm)],[f_1917_3]) ).
cnf(f_1917_6,plain,
( r2_hidden(U_5097,U_5096)
| U_5097 = U_5096
| ~ r1_tarski(U_5097,U_5096)
| ~ sP917(U_5097,U_5096) ),
inference(clausify,[status(thm)],[f_1917_3]) ).
cnf(f_1917_7,plain,
( r1_tarski(U_5097,U_5096)
| ~ sP916(U_5097,U_5096) ),
inference(clausify,[status(thm)],[f_1917_3]) ).
cnf(f_1917_8,plain,
( U_5097 != U_5096
| ~ sP916(U_5097,U_5096) ),
inference(clausify,[status(thm)],[f_1917_3]) ).
fof(f_1918_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(A,B)
| r1_tarski(B,A) )
& ( ~ r1_tarski(B,A)
| ~ r2_hidden(A,B) ) )
| ~ v1_card_1(B) )
| ~ v1_card_1(A) ),
inference(fof_nnf,[status(thm)],[t14_card_1]) ).
fof(f_1918_2,plain,
! [U_5099] :
( ! [U_5098] :
( ( ( r2_hidden(U_5099,U_5098)
| r1_tarski(U_5098,U_5099) )
& ( ~ r1_tarski(U_5098,U_5099)
| ~ r2_hidden(U_5099,U_5098) ) )
| ~ v1_card_1(U_5098) )
| ~ v1_card_1(U_5099) ),
inference(variable_rename,[status(thm)],[f_1918_1]) ).
fof(f_1918_3,plain,
( ! [U_5098,U_5099] :
( r2_hidden(U_5099,U_5098)
| r1_tarski(U_5098,U_5099)
| ~ sP918(U_5098,U_5099) )
& ! [U_5098,U_5099] :
( ~ r1_tarski(U_5098,U_5099)
| ~ r2_hidden(U_5099,U_5098)
| ~ sP918(U_5098,U_5099) )
& ! [U_5098,U_5099] :
( sP918(U_5098,U_5099)
| ~ v1_card_1(U_5098)
| ~ v1_card_1(U_5099) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP918])],[f_1918_2]) ).
cnf(f_1918_4,plain,
( sP918(U_5098,U_5099)
| ~ v1_card_1(U_5098)
| ~ v1_card_1(U_5099) ),
inference(clausify,[status(thm)],[f_1918_3]) ).
cnf(f_1918_5,plain,
( ~ r1_tarski(U_5098,U_5099)
| ~ r2_hidden(U_5099,U_5098)
| ~ sP918(U_5098,U_5099) ),
inference(clausify,[status(thm)],[f_1918_3]) ).
cnf(f_1918_6,plain,
( r2_hidden(U_5099,U_5098)
| r1_tarski(U_5098,U_5099)
| ~ sP918(U_5098,U_5099) ),
inference(clausify,[status(thm)],[f_1918_3]) ).
fof(f_1919_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d2_card_1]) ).
fof(f_1919_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1919_1]) ).
cnf(f_1919_3,plain,
$true,
inference(clausify,[status(thm)],[f_1919_2]) ).
fof(f_1920_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d3_card_1]) ).
fof(f_1920_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1920_1]) ).
cnf(f_1920_3,plain,
$true,
inference(clausify,[status(thm)],[f_1920_2]) ).
fof(f_1921_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d4_card_1]) ).
fof(f_1921_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1921_1]) ).
cnf(f_1921_3,plain,
$true,
inference(clausify,[status(thm)],[f_1921_2]) ).
fof(f_1922_1,plain,
! [A,B] :
( ( ( B = k1_card_1(A)
| ~ r2_wellord2(A,B) )
& ( r2_wellord2(A,B)
| B != k1_card_1(A) ) )
| ~ v1_card_1(B) ),
inference(fof_nnf,[status(thm)],[d5_card_1]) ).
fof(f_1922_2,plain,
! [U_5101,U_5100] :
( ( ( U_5100 = k1_card_1(U_5101)
| ~ r2_wellord2(U_5101,U_5100) )
& ( r2_wellord2(U_5101,U_5100)
| U_5100 != k1_card_1(U_5101) ) )
| ~ v1_card_1(U_5100) ),
inference(variable_rename,[status(thm)],[f_1922_1]) ).
fof(f_1922_3,plain,
( ! [U_5100,U_5101] :
( U_5100 = k1_card_1(U_5101)
| ~ r2_wellord2(U_5101,U_5100)
| ~ sP919(U_5100,U_5101) )
& ! [U_5100,U_5101] :
( r2_wellord2(U_5101,U_5100)
| U_5100 != k1_card_1(U_5101)
| ~ sP919(U_5100,U_5101) )
& ! [U_5100,U_5101] :
( sP919(U_5100,U_5101)
| ~ v1_card_1(U_5100) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP919])],[f_1922_2]) ).
cnf(f_1922_4,plain,
( sP919(U_5100,U_5101)
| ~ v1_card_1(U_5100) ),
inference(clausify,[status(thm)],[f_1922_3]) ).
cnf(f_1922_5,plain,
( r2_wellord2(U_5101,U_5100)
| U_5100 != k1_card_1(U_5101)
| ~ sP919(U_5100,U_5101) ),
inference(clausify,[status(thm)],[f_1922_3]) ).
cnf(f_1922_6,plain,
( U_5100 = k1_card_1(U_5101)
| ~ r2_wellord2(U_5101,U_5100)
| ~ sP919(U_5100,U_5101) ),
inference(clausify,[status(thm)],[f_1922_3]) ).
fof(f_1923_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_card_1]) ).
fof(f_1923_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1923_1]) ).
cnf(f_1923_3,plain,
$true,
inference(clausify,[status(thm)],[f_1923_2]) ).
fof(f_1924_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_card_1]) ).
fof(f_1924_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1924_1]) ).
cnf(f_1924_3,plain,
$true,
inference(clausify,[status(thm)],[f_1924_2]) ).
fof(f_1925_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_card_1]) ).
fof(f_1925_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1925_1]) ).
cnf(f_1925_3,plain,
$true,
inference(clausify,[status(thm)],[f_1925_2]) ).
fof(f_1926_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_card_1]) ).
fof(f_1926_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1926_1]) ).
cnf(f_1926_3,plain,
$true,
inference(clausify,[status(thm)],[f_1926_2]) ).
fof(f_1927_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t19_card_1]) ).
fof(f_1927_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1927_1]) ).
cnf(f_1927_3,plain,
$true,
inference(clausify,[status(thm)],[f_1927_2]) ).
fof(f_1928_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_card_1]) ).
fof(f_1928_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1928_1]) ).
cnf(f_1928_3,plain,
$true,
inference(clausify,[status(thm)],[f_1928_2]) ).
fof(f_1929_1,plain,
! [A,B] :
( ( r2_wellord2(A,B)
| k1_card_1(A) != k1_card_1(B) )
& ( k1_card_1(A) = k1_card_1(B)
| ~ r2_wellord2(A,B) ) ),
inference(fof_nnf,[status(thm)],[t21_card_1]) ).
fof(f_1929_2,plain,
! [U_5103,U_5102] :
( ( r2_wellord2(U_5103,U_5102)
| k1_card_1(U_5103) != k1_card_1(U_5102) )
& ( k1_card_1(U_5103) = k1_card_1(U_5102)
| ~ r2_wellord2(U_5103,U_5102) ) ),
inference(variable_rename,[status(thm)],[f_1929_1]) ).
fof(f_1929_3,plain,
( ! [U_5107,U_5105] :
( r2_wellord2(U_5107,U_5105)
| k1_card_1(U_5107) != k1_card_1(U_5105) )
& ! [U_5106,U_5104] :
( k1_card_1(U_5106) = k1_card_1(U_5104)
| ~ r2_wellord2(U_5106,U_5104) ) ),
inference(miniscope,[status(thm)],[f_1929_2]) ).
fof(f_1929_4,plain,
( ! [U_5107,U_5105] :
( r2_wellord2(U_5107,U_5105)
| k1_card_1(U_5107) != k1_card_1(U_5105) )
& ! [U_5106,U_5104] :
( k1_card_1(U_5106) = k1_card_1(U_5104)
| ~ r2_wellord2(U_5106,U_5104) ) ),
inference(definitional_conversion,[status(esa)],[f_1929_3]) ).
cnf(f_1929_5,plain,
( k1_card_1(U_5106) = k1_card_1(U_5104)
| ~ r2_wellord2(U_5106,U_5104) ),
inference(clausify,[status(thm)],[f_1929_4]) ).
cnf(f_1929_6,plain,
( r2_wellord2(U_5107,U_5105)
| k1_card_1(U_5107) != k1_card_1(U_5105) ),
inference(clausify,[status(thm)],[f_1929_4]) ).
fof(f_1930_1,plain,
! [A] :
( r2_wellord2(k3_relat_1(A),k2_wellord2(A))
| ~ v2_wellord1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t22_card_1]) ).
fof(f_1930_2,plain,
! [U_5108] :
( r2_wellord2(k3_relat_1(U_5108),k2_wellord2(U_5108))
| ~ v2_wellord1(U_5108)
| ~ v1_relat_1(U_5108) ),
inference(variable_rename,[status(thm)],[f_1930_1]) ).
fof(f_1930_3,plain,
! [U_5108] :
( r2_wellord2(k3_relat_1(U_5108),k2_wellord2(U_5108))
| ~ v2_wellord1(U_5108)
| ~ v1_relat_1(U_5108) ),
inference(definitional_conversion,[status(esa)],[f_1930_2]) ).
cnf(f_1930_4,plain,
( r2_wellord2(k3_relat_1(U_5108),k2_wellord2(U_5108))
| ~ v2_wellord1(U_5108)
| ~ v1_relat_1(U_5108) ),
inference(clausify,[status(thm)],[f_1930_3]) ).
fof(f_1931_1,plain,
! [A,B] :
( r1_tarski(k1_card_1(A),B)
| ~ r1_tarski(A,B)
| ~ v1_card_1(B) ),
inference(fof_nnf,[status(thm)],[t23_card_1]) ).
fof(f_1931_2,plain,
! [U_5110,U_5109] :
( r1_tarski(k1_card_1(U_5110),U_5109)
| ~ r1_tarski(U_5110,U_5109)
| ~ v1_card_1(U_5109) ),
inference(variable_rename,[status(thm)],[f_1931_1]) ).
fof(f_1931_3,plain,
! [U_5109,U_5110] :
( r1_tarski(k1_card_1(U_5110),U_5109)
| ~ r1_tarski(U_5110,U_5109)
| ~ v1_card_1(U_5109) ),
inference(definitional_conversion,[status(esa)],[f_1931_2]) ).
cnf(f_1931_4,plain,
( r1_tarski(k1_card_1(U_5110),U_5109)
| ~ r1_tarski(U_5110,U_5109)
| ~ v1_card_1(U_5109) ),
inference(clausify,[status(thm)],[f_1931_3]) ).
fof(f_1932_1,plain,
! [A] :
( r1_ordinal1(k1_card_1(A),A)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t24_card_1]) ).
fof(f_1932_2,plain,
! [U_5111] :
( r1_ordinal1(k1_card_1(U_5111),U_5111)
| ~ v3_ordinal1(U_5111) ),
inference(variable_rename,[status(thm)],[f_1932_1]) ).
fof(f_1932_3,plain,
! [U_5111] :
( r1_ordinal1(k1_card_1(U_5111),U_5111)
| ~ v3_ordinal1(U_5111) ),
inference(definitional_conversion,[status(esa)],[f_1932_2]) ).
cnf(f_1932_4,plain,
( r1_ordinal1(k1_card_1(U_5111),U_5111)
| ~ v3_ordinal1(U_5111) ),
inference(clausify,[status(thm)],[f_1932_3]) ).
fof(f_1933_1,plain,
! [A,B] :
( r2_hidden(k1_card_1(A),B)
| ~ r2_hidden(A,B)
| ~ v1_card_1(B) ),
inference(fof_nnf,[status(thm)],[t25_card_1]) ).
fof(f_1933_2,plain,
! [U_5113,U_5112] :
( r2_hidden(k1_card_1(U_5113),U_5112)
| ~ r2_hidden(U_5113,U_5112)
| ~ v1_card_1(U_5112) ),
inference(variable_rename,[status(thm)],[f_1933_1]) ).
fof(f_1933_3,plain,
! [U_5112,U_5113] :
( r2_hidden(k1_card_1(U_5113),U_5112)
| ~ r2_hidden(U_5113,U_5112)
| ~ v1_card_1(U_5112) ),
inference(definitional_conversion,[status(esa)],[f_1933_2]) ).
cnf(f_1933_4,plain,
( r2_hidden(k1_card_1(U_5113),U_5112)
| ~ r2_hidden(U_5113,U_5112)
| ~ v1_card_1(U_5112) ),
inference(clausify,[status(thm)],[f_1933_3]) ).
fof(f_1934_1,plain,
! [A,B] :
( ( r1_tarski(k1_card_1(A),k1_card_1(B))
| ! [C] :
( ~ r1_tarski(k2_relat_1(C),B)
| k1_relat_1(C) != A
| ~ v2_funct_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ( ? [C] :
( r1_tarski(k2_relat_1(C),B)
& k1_relat_1(C) = A
& v2_funct_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
| ~ r1_tarski(k1_card_1(A),k1_card_1(B)) ) ),
inference(fof_nnf,[status(thm)],[t26_card_1]) ).
fof(f_1934_2,plain,
! [U_5117,U_5116] :
( ( r1_tarski(k1_card_1(U_5117),k1_card_1(U_5116))
| ! [U_5115] :
( ~ r1_tarski(k2_relat_1(U_5115),U_5116)
| k1_relat_1(U_5115) != U_5117
| ~ v2_funct_1(U_5115)
| ~ v1_funct_1(U_5115)
| ~ v1_relat_1(U_5115) ) )
& ( ? [U_5114] :
( r1_tarski(k2_relat_1(U_5114),U_5116)
& k1_relat_1(U_5114) = U_5117
& v2_funct_1(U_5114)
& v1_funct_1(U_5114)
& v1_relat_1(U_5114) )
| ~ r1_tarski(k1_card_1(U_5117),k1_card_1(U_5116)) ) ),
inference(variable_rename,[status(thm)],[f_1934_1]) ).
fof(f_1934_3,plain,
( ! [U_5121,U_5119] :
( r1_tarski(k1_card_1(U_5121),k1_card_1(U_5119))
| ! [U_5115] :
( ~ r1_tarski(k2_relat_1(U_5115),U_5119)
| k1_relat_1(U_5115) != U_5121
| ~ v2_funct_1(U_5115)
| ~ v1_funct_1(U_5115)
| ~ v1_relat_1(U_5115) ) )
& ! [U_5120,U_5118] :
( ? [U_5114] :
( r1_tarski(k2_relat_1(U_5114),U_5118)
& k1_relat_1(U_5114) = U_5120
& v2_funct_1(U_5114)
& v1_funct_1(U_5114)
& v1_relat_1(U_5114) )
| ~ r1_tarski(k1_card_1(U_5120),k1_card_1(U_5118)) ) ),
inference(miniscope,[status(thm)],[f_1934_2]) ).
fof(f_1934_4,plain,
( ! [U_5121,U_5119] :
( r1_tarski(k1_card_1(U_5121),k1_card_1(U_5119))
| ! [U_5115] :
( ~ r1_tarski(k2_relat_1(U_5115),U_5119)
| k1_relat_1(U_5115) != U_5121
| ~ v2_funct_1(U_5115)
| ~ v1_funct_1(U_5115)
| ~ v1_relat_1(U_5115) ) )
& ! [U_5120,U_5118] :
( ( r1_tarski(k2_relat_1(sK636(U_5120,U_5118)),U_5118)
& k1_relat_1(sK636(U_5120,U_5118)) = U_5120
& v2_funct_1(sK636(U_5120,U_5118))
& v1_funct_1(sK636(U_5120,U_5118))
& v1_relat_1(sK636(U_5120,U_5118)) )
| ~ r1_tarski(k1_card_1(U_5120),k1_card_1(U_5118)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK636]),skolemize(U_5114,sK636(U_5120,U_5118))],[f_1934_3]) ).
fof(f_1934_5,plain,
( ! [U_5120,U_5118] :
( r1_tarski(k2_relat_1(sK636(U_5120,U_5118)),U_5118)
| ~ sP920(U_5120,U_5118) )
& ! [U_5120,U_5118] :
( k1_relat_1(sK636(U_5120,U_5118)) = U_5120
| ~ sP920(U_5120,U_5118) )
& ! [U_5120,U_5118] :
( v2_funct_1(sK636(U_5120,U_5118))
| ~ sP920(U_5120,U_5118) )
& ! [U_5120,U_5118] :
( v1_funct_1(sK636(U_5120,U_5118))
| ~ sP920(U_5120,U_5118) )
& ! [U_5120,U_5118] :
( v1_relat_1(sK636(U_5120,U_5118))
| ~ sP920(U_5120,U_5118) )
& ! [U_5121,U_5115,U_5119] :
( r1_tarski(k1_card_1(U_5121),k1_card_1(U_5119))
| ~ r1_tarski(k2_relat_1(U_5115),U_5119)
| k1_relat_1(U_5115) != U_5121
| ~ v2_funct_1(U_5115)
| ~ v1_funct_1(U_5115)
| ~ v1_relat_1(U_5115) )
& ! [U_5120,U_5118] :
( sP920(U_5120,U_5118)
| ~ r1_tarski(k1_card_1(U_5120),k1_card_1(U_5118)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP920])],[f_1934_4]) ).
cnf(f_1934_6,plain,
( sP920(U_5120,U_5118)
| ~ r1_tarski(k1_card_1(U_5120),k1_card_1(U_5118)) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
cnf(f_1934_7,plain,
( r1_tarski(k1_card_1(U_5121),k1_card_1(U_5119))
| ~ r1_tarski(k2_relat_1(U_5115),U_5119)
| k1_relat_1(U_5115) != U_5121
| ~ v2_funct_1(U_5115)
| ~ v1_funct_1(U_5115)
| ~ v1_relat_1(U_5115) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
cnf(f_1934_8,plain,
( v1_relat_1(sK636(U_5120,U_5118))
| ~ sP920(U_5120,U_5118) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
cnf(f_1934_9,plain,
( v1_funct_1(sK636(U_5120,U_5118))
| ~ sP920(U_5120,U_5118) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
cnf(f_1934_10,plain,
( v2_funct_1(sK636(U_5120,U_5118))
| ~ sP920(U_5120,U_5118) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
cnf(f_1934_11,plain,
( k1_relat_1(sK636(U_5120,U_5118)) = U_5120
| ~ sP920(U_5120,U_5118) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
cnf(f_1934_12,plain,
( r1_tarski(k2_relat_1(sK636(U_5120,U_5118)),U_5118)
| ~ sP920(U_5120,U_5118) ),
inference(clausify,[status(thm)],[f_1934_5]) ).
fof(f_1935_1,plain,
! [A,B] :
( r1_tarski(k1_card_1(A),k1_card_1(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t27_card_1]) ).
fof(f_1935_2,plain,
! [U_5123,U_5122] :
( r1_tarski(k1_card_1(U_5123),k1_card_1(U_5122))
| ~ r1_tarski(U_5123,U_5122) ),
inference(variable_rename,[status(thm)],[f_1935_1]) ).
fof(f_1935_3,plain,
! [U_5122,U_5123] :
( r1_tarski(k1_card_1(U_5123),k1_card_1(U_5122))
| ~ r1_tarski(U_5123,U_5122) ),
inference(definitional_conversion,[status(esa)],[f_1935_2]) ).
cnf(f_1935_4,plain,
( r1_tarski(k1_card_1(U_5123),k1_card_1(U_5122))
| ~ r1_tarski(U_5123,U_5122) ),
inference(clausify,[status(thm)],[f_1935_3]) ).
fof(f_1936_1,plain,
! [A,B] :
( ( r1_tarski(k1_card_1(A),k1_card_1(B))
| ! [C] :
( ~ r1_tarski(A,k2_relat_1(C))
| k1_relat_1(C) != B
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ( ? [C] :
( r1_tarski(A,k2_relat_1(C))
& k1_relat_1(C) = B
& v1_funct_1(C)
& v1_relat_1(C) )
| ~ r1_tarski(k1_card_1(A),k1_card_1(B)) ) ),
inference(fof_nnf,[status(thm)],[t28_card_1]) ).
fof(f_1936_2,plain,
! [U_5127,U_5126] :
( ( r1_tarski(k1_card_1(U_5127),k1_card_1(U_5126))
| ! [U_5125] :
( ~ r1_tarski(U_5127,k2_relat_1(U_5125))
| k1_relat_1(U_5125) != U_5126
| ~ v1_funct_1(U_5125)
| ~ v1_relat_1(U_5125) ) )
& ( ? [U_5124] :
( r1_tarski(U_5127,k2_relat_1(U_5124))
& k1_relat_1(U_5124) = U_5126
& v1_funct_1(U_5124)
& v1_relat_1(U_5124) )
| ~ r1_tarski(k1_card_1(U_5127),k1_card_1(U_5126)) ) ),
inference(variable_rename,[status(thm)],[f_1936_1]) ).
fof(f_1936_3,plain,
( ! [U_5131,U_5129] :
( r1_tarski(k1_card_1(U_5131),k1_card_1(U_5129))
| ! [U_5125] :
( ~ r1_tarski(U_5131,k2_relat_1(U_5125))
| k1_relat_1(U_5125) != U_5129
| ~ v1_funct_1(U_5125)
| ~ v1_relat_1(U_5125) ) )
& ! [U_5130,U_5128] :
( ? [U_5124] :
( r1_tarski(U_5130,k2_relat_1(U_5124))
& k1_relat_1(U_5124) = U_5128
& v1_funct_1(U_5124)
& v1_relat_1(U_5124) )
| ~ r1_tarski(k1_card_1(U_5130),k1_card_1(U_5128)) ) ),
inference(miniscope,[status(thm)],[f_1936_2]) ).
fof(f_1936_4,plain,
( ! [U_5131,U_5129] :
( r1_tarski(k1_card_1(U_5131),k1_card_1(U_5129))
| ! [U_5125] :
( ~ r1_tarski(U_5131,k2_relat_1(U_5125))
| k1_relat_1(U_5125) != U_5129
| ~ v1_funct_1(U_5125)
| ~ v1_relat_1(U_5125) ) )
& ! [U_5130,U_5128] :
( ( r1_tarski(U_5130,k2_relat_1(sK637(U_5130,U_5128)))
& k1_relat_1(sK637(U_5130,U_5128)) = U_5128
& v1_funct_1(sK637(U_5130,U_5128))
& v1_relat_1(sK637(U_5130,U_5128)) )
| ~ r1_tarski(k1_card_1(U_5130),k1_card_1(U_5128)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK637]),skolemize(U_5124,sK637(U_5130,U_5128))],[f_1936_3]) ).
fof(f_1936_5,plain,
( ! [U_5130,U_5128] :
( r1_tarski(U_5130,k2_relat_1(sK637(U_5130,U_5128)))
| ~ sP921(U_5130,U_5128) )
& ! [U_5130,U_5128] :
( k1_relat_1(sK637(U_5130,U_5128)) = U_5128
| ~ sP921(U_5130,U_5128) )
& ! [U_5130,U_5128] :
( v1_funct_1(sK637(U_5130,U_5128))
| ~ sP921(U_5130,U_5128) )
& ! [U_5130,U_5128] :
( v1_relat_1(sK637(U_5130,U_5128))
| ~ sP921(U_5130,U_5128) )
& ! [U_5131,U_5125,U_5129] :
( r1_tarski(k1_card_1(U_5131),k1_card_1(U_5129))
| ~ r1_tarski(U_5131,k2_relat_1(U_5125))
| k1_relat_1(U_5125) != U_5129
| ~ v1_funct_1(U_5125)
| ~ v1_relat_1(U_5125) )
& ! [U_5130,U_5128] :
( sP921(U_5130,U_5128)
| ~ r1_tarski(k1_card_1(U_5130),k1_card_1(U_5128)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP921])],[f_1936_4]) ).
cnf(f_1936_6,plain,
( sP921(U_5130,U_5128)
| ~ r1_tarski(k1_card_1(U_5130),k1_card_1(U_5128)) ),
inference(clausify,[status(thm)],[f_1936_5]) ).
cnf(f_1936_7,plain,
( r1_tarski(k1_card_1(U_5131),k1_card_1(U_5129))
| ~ r1_tarski(U_5131,k2_relat_1(U_5125))
| k1_relat_1(U_5125) != U_5129
| ~ v1_funct_1(U_5125)
| ~ v1_relat_1(U_5125) ),
inference(clausify,[status(thm)],[f_1936_5]) ).
cnf(f_1936_8,plain,
( v1_relat_1(sK637(U_5130,U_5128))
| ~ sP921(U_5130,U_5128) ),
inference(clausify,[status(thm)],[f_1936_5]) ).
cnf(f_1936_9,plain,
( v1_funct_1(sK637(U_5130,U_5128))
| ~ sP921(U_5130,U_5128) ),
inference(clausify,[status(thm)],[f_1936_5]) ).
cnf(f_1936_10,plain,
( k1_relat_1(sK637(U_5130,U_5128)) = U_5128
| ~ sP921(U_5130,U_5128) ),
inference(clausify,[status(thm)],[f_1936_5]) ).
cnf(f_1936_11,plain,
( r1_tarski(U_5130,k2_relat_1(sK637(U_5130,U_5128)))
| ~ sP921(U_5130,U_5128) ),
inference(clausify,[status(thm)],[f_1936_5]) ).
fof(f_1937_1,plain,
! [A] : ~ r2_wellord2(A,k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[t29_card_1]) ).
fof(f_1937_2,plain,
! [U_5132] : ~ r2_wellord2(U_5132,k1_zfmisc_1(U_5132)),
inference(variable_rename,[status(thm)],[f_1937_1]) ).
fof(f_1937_3,plain,
! [U_5132] : ~ r2_wellord2(U_5132,k1_zfmisc_1(U_5132)),
inference(definitional_conversion,[status(esa)],[f_1937_2]) ).
cnf(f_1937_4,plain,
~ r2_wellord2(U_5132,k1_zfmisc_1(U_5132)),
inference(clausify,[status(thm)],[f_1937_3]) ).
fof(f_1938_1,plain,
! [A] : r2_hidden(k1_card_1(A),k1_card_1(k1_zfmisc_1(A))),
inference(fof_nnf,[status(thm)],[t30_card_1]) ).
fof(f_1938_2,plain,
! [U_5133] : r2_hidden(k1_card_1(U_5133),k1_card_1(k1_zfmisc_1(U_5133))),
inference(variable_rename,[status(thm)],[f_1938_1]) ).
fof(f_1938_3,plain,
! [U_5133] : r2_hidden(k1_card_1(U_5133),k1_card_1(k1_zfmisc_1(U_5133))),
inference(definitional_conversion,[status(esa)],[f_1938_2]) ).
cnf(f_1938_4,plain,
r2_hidden(k1_card_1(U_5133),k1_card_1(k1_zfmisc_1(U_5133))),
inference(clausify,[status(thm)],[f_1938_3]) ).
fof(f_1939_1,plain,
! [A,B] :
( ( ( B = k2_card_1(A)
| ? [C] :
( ~ r1_tarski(B,C)
& r2_hidden(k1_card_1(A),C)
& v1_card_1(C) )
| ~ r2_hidden(k1_card_1(A),B) )
& ( ( ! [C] :
( r1_tarski(B,C)
| ~ r2_hidden(k1_card_1(A),C)
| ~ v1_card_1(C) )
& r2_hidden(k1_card_1(A),B) )
| B != k2_card_1(A) ) )
| ~ v1_card_1(B) ),
inference(fof_nnf,[status(thm)],[d6_card_1]) ).
fof(f_1939_2,plain,
! [U_5137,U_5136] :
( ( ( U_5136 = k2_card_1(U_5137)
| ? [U_5135] :
( ~ r1_tarski(U_5136,U_5135)
& r2_hidden(k1_card_1(U_5137),U_5135)
& v1_card_1(U_5135) )
| ~ r2_hidden(k1_card_1(U_5137),U_5136) )
& ( ( ! [U_5134] :
( r1_tarski(U_5136,U_5134)
| ~ r2_hidden(k1_card_1(U_5137),U_5134)
| ~ v1_card_1(U_5134) )
& r2_hidden(k1_card_1(U_5137),U_5136) )
| U_5136 != k2_card_1(U_5137) ) )
| ~ v1_card_1(U_5136) ),
inference(variable_rename,[status(thm)],[f_1939_1]) ).
fof(f_1939_3,plain,
! [U_5137,U_5136] :
( ( ( U_5136 = k2_card_1(U_5137)
| ( ~ r1_tarski(U_5136,sK638(U_5137,U_5136))
& r2_hidden(k1_card_1(U_5137),sK638(U_5137,U_5136))
& v1_card_1(sK638(U_5137,U_5136)) )
| ~ r2_hidden(k1_card_1(U_5137),U_5136) )
& ( ( ! [U_5134] :
( r1_tarski(U_5136,U_5134)
| ~ r2_hidden(k1_card_1(U_5137),U_5134)
| ~ v1_card_1(U_5134) )
& r2_hidden(k1_card_1(U_5137),U_5136) )
| U_5136 != k2_card_1(U_5137) ) )
| ~ v1_card_1(U_5136) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK638]),skolemize(U_5135,sK638(U_5137,U_5136))],[f_1939_2]) ).
fof(f_1939_4,plain,
( ! [U_5136,U_5137] :
( ~ r1_tarski(U_5136,sK638(U_5137,U_5136))
| ~ sP923(U_5136,U_5137) )
& ! [U_5136,U_5137] :
( r2_hidden(k1_card_1(U_5137),sK638(U_5137,U_5136))
| ~ sP923(U_5136,U_5137) )
& ! [U_5136,U_5137] :
( v1_card_1(sK638(U_5137,U_5136))
| ~ sP923(U_5136,U_5137) )
& ! [U_5136,U_5134,U_5137] :
( r1_tarski(U_5136,U_5134)
| ~ r2_hidden(k1_card_1(U_5137),U_5134)
| ~ v1_card_1(U_5134)
| ~ sP922(U_5136,U_5134,U_5137) )
& ! [U_5136,U_5134,U_5137] :
( r2_hidden(k1_card_1(U_5137),U_5136)
| ~ sP922(U_5136,U_5134,U_5137) )
& ! [U_5136,U_5134,U_5137] :
( U_5136 = k2_card_1(U_5137)
| sP923(U_5136,U_5137)
| ~ r2_hidden(k1_card_1(U_5137),U_5136)
| ~ sP924(U_5136,U_5134,U_5137) )
& ! [U_5136,U_5134,U_5137] :
( sP922(U_5136,U_5134,U_5137)
| U_5136 != k2_card_1(U_5137)
| ~ sP924(U_5136,U_5134,U_5137) )
& ! [U_5136,U_5134,U_5137] :
( sP924(U_5136,U_5134,U_5137)
| ~ v1_card_1(U_5136) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP922,sP923,sP924])],[f_1939_3]) ).
cnf(f_1939_5,plain,
( sP924(U_5136,U_5134,U_5137)
| ~ v1_card_1(U_5136) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_6,plain,
( sP922(U_5136,U_5134,U_5137)
| U_5136 != k2_card_1(U_5137)
| ~ sP924(U_5136,U_5134,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_7,plain,
( U_5136 = k2_card_1(U_5137)
| sP923(U_5136,U_5137)
| ~ r2_hidden(k1_card_1(U_5137),U_5136)
| ~ sP924(U_5136,U_5134,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_8,plain,
( r2_hidden(k1_card_1(U_5137),U_5136)
| ~ sP922(U_5136,U_5134,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_9,plain,
( r1_tarski(U_5136,U_5134)
| ~ r2_hidden(k1_card_1(U_5137),U_5134)
| ~ v1_card_1(U_5134)
| ~ sP922(U_5136,U_5134,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_10,plain,
( v1_card_1(sK638(U_5137,U_5136))
| ~ sP923(U_5136,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_11,plain,
( r2_hidden(k1_card_1(U_5137),sK638(U_5137,U_5136))
| ~ sP923(U_5136,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
cnf(f_1939_12,plain,
( ~ r1_tarski(U_5136,sK638(U_5137,U_5136))
| ~ sP923(U_5136,U_5137) ),
inference(clausify,[status(thm)],[f_1939_4]) ).
fof(f_1940_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_card_1]) ).
fof(f_1940_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1940_1]) ).
cnf(f_1940_3,plain,
$true,
inference(clausify,[status(thm)],[f_1940_2]) ).
fof(f_1941_1,plain,
! [A] :
( r2_hidden(A,k2_card_1(A))
| ~ v1_card_1(A) ),
inference(fof_nnf,[status(thm)],[t32_card_1]) ).
fof(f_1941_2,plain,
! [U_5138] :
( r2_hidden(U_5138,k2_card_1(U_5138))
| ~ v1_card_1(U_5138) ),
inference(variable_rename,[status(thm)],[f_1941_1]) ).
fof(f_1941_3,plain,
! [U_5138] :
( r2_hidden(U_5138,k2_card_1(U_5138))
| ~ v1_card_1(U_5138) ),
inference(definitional_conversion,[status(esa)],[f_1941_2]) ).
cnf(f_1941_4,plain,
( r2_hidden(U_5138,k2_card_1(U_5138))
| ~ v1_card_1(U_5138) ),
inference(clausify,[status(thm)],[f_1941_3]) ).
fof(f_1942_1,plain,
! [A] : r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A)),
inference(fof_nnf,[status(thm)],[t33_card_1]) ).
fof(f_1942_2,plain,
! [U_5139] : r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(U_5139)),
inference(variable_rename,[status(thm)],[f_1942_1]) ).
fof(f_1942_3,plain,
! [U_5139] : r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(U_5139)),
inference(definitional_conversion,[status(esa)],[f_1942_2]) ).
cnf(f_1942_4,plain,
r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(U_5139)),
inference(clausify,[status(thm)],[f_1942_3]) ).
fof(f_1943_1,plain,
! [A,B] :
( k2_card_1(A) = k2_card_1(B)
| k1_card_1(A) != k1_card_1(B) ),
inference(fof_nnf,[status(thm)],[t34_card_1]) ).
fof(f_1943_2,plain,
! [U_5141,U_5140] :
( k2_card_1(U_5141) = k2_card_1(U_5140)
| k1_card_1(U_5141) != k1_card_1(U_5140) ),
inference(variable_rename,[status(thm)],[f_1943_1]) ).
fof(f_1943_3,plain,
! [U_5141,U_5140] :
( k2_card_1(U_5141) = k2_card_1(U_5140)
| k1_card_1(U_5141) != k1_card_1(U_5140) ),
inference(definitional_conversion,[status(esa)],[f_1943_2]) ).
cnf(f_1943_4,plain,
( k2_card_1(U_5141) = k2_card_1(U_5140)
| k1_card_1(U_5141) != k1_card_1(U_5140) ),
inference(clausify,[status(thm)],[f_1943_3]) ).
fof(f_1944_1,plain,
! [A,B] :
( k2_card_1(A) = k2_card_1(B)
| ~ r2_wellord2(A,B) ),
inference(fof_nnf,[status(thm)],[t35_card_1]) ).
fof(f_1944_2,plain,
! [U_5143,U_5142] :
( k2_card_1(U_5143) = k2_card_1(U_5142)
| ~ r2_wellord2(U_5143,U_5142) ),
inference(variable_rename,[status(thm)],[f_1944_1]) ).
fof(f_1944_3,plain,
! [U_5142,U_5143] :
( k2_card_1(U_5143) = k2_card_1(U_5142)
| ~ r2_wellord2(U_5143,U_5142) ),
inference(definitional_conversion,[status(esa)],[f_1944_2]) ).
cnf(f_1944_4,plain,
( k2_card_1(U_5143) = k2_card_1(U_5142)
| ~ r2_wellord2(U_5143,U_5142) ),
inference(clausify,[status(thm)],[f_1944_3]) ).
fof(f_1945_1,plain,
! [A] :
( r2_hidden(A,k2_card_1(A))
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t36_card_1]) ).
fof(f_1945_2,plain,
! [U_5144] :
( r2_hidden(U_5144,k2_card_1(U_5144))
| ~ v3_ordinal1(U_5144) ),
inference(variable_rename,[status(thm)],[f_1945_1]) ).
fof(f_1945_3,plain,
! [U_5144] :
( r2_hidden(U_5144,k2_card_1(U_5144))
| ~ v3_ordinal1(U_5144) ),
inference(definitional_conversion,[status(esa)],[f_1945_2]) ).
cnf(f_1945_4,plain,
( r2_hidden(U_5144,k2_card_1(U_5144))
| ~ v3_ordinal1(U_5144) ),
inference(clausify,[status(thm)],[f_1945_3]) ).
fof(f_1946_1,plain,
! [A] :
( ( ( v2_card_1(A)
| ? [B] :
( A = k2_card_1(B)
& v1_card_1(B) ) )
& ( ! [B] :
( A != k2_card_1(B)
| ~ v1_card_1(B) )
| ~ v2_card_1(A) ) )
| ~ v1_card_1(A) ),
inference(fof_nnf,[status(thm)],[d7_card_1]) ).
fof(f_1946_2,plain,
! [U_5147] :
( ( ( v2_card_1(U_5147)
| ? [U_5146] :
( U_5147 = k2_card_1(U_5146)
& v1_card_1(U_5146) ) )
& ( ! [U_5145] :
( U_5147 != k2_card_1(U_5145)
| ~ v1_card_1(U_5145) )
| ~ v2_card_1(U_5147) ) )
| ~ v1_card_1(U_5147) ),
inference(variable_rename,[status(thm)],[f_1946_1]) ).
fof(f_1946_3,plain,
! [U_5147] :
( ( ( v2_card_1(U_5147)
| ( U_5147 = k2_card_1(sK639(U_5147))
& v1_card_1(sK639(U_5147)) ) )
& ( ! [U_5145] :
( U_5147 != k2_card_1(U_5145)
| ~ v1_card_1(U_5145) )
| ~ v2_card_1(U_5147) ) )
| ~ v1_card_1(U_5147) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK639]),skolemize(U_5146,sK639(U_5147))],[f_1946_2]) ).
fof(f_1946_4,plain,
( ! [U_5147] :
( U_5147 = k2_card_1(sK639(U_5147))
| ~ sP925(U_5147) )
& ! [U_5147] :
( v1_card_1(sK639(U_5147))
| ~ sP925(U_5147) )
& ! [U_5145,U_5147] :
( v2_card_1(U_5147)
| sP925(U_5147)
| ~ sP926(U_5145,U_5147) )
& ! [U_5145,U_5147] :
( U_5147 != k2_card_1(U_5145)
| ~ v1_card_1(U_5145)
| ~ v2_card_1(U_5147)
| ~ sP926(U_5145,U_5147) )
& ! [U_5145,U_5147] :
( sP926(U_5145,U_5147)
| ~ v1_card_1(U_5147) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP925,sP926])],[f_1946_3]) ).
cnf(f_1946_5,plain,
( sP926(U_5145,U_5147)
| ~ v1_card_1(U_5147) ),
inference(clausify,[status(thm)],[f_1946_4]) ).
cnf(f_1946_6,plain,
( U_5147 != k2_card_1(U_5145)
| ~ v1_card_1(U_5145)
| ~ v2_card_1(U_5147)
| ~ sP926(U_5145,U_5147) ),
inference(clausify,[status(thm)],[f_1946_4]) ).
cnf(f_1946_7,plain,
( v2_card_1(U_5147)
| sP925(U_5147)
| ~ sP926(U_5145,U_5147) ),
inference(clausify,[status(thm)],[f_1946_4]) ).
cnf(f_1946_8,plain,
( v1_card_1(sK639(U_5147))
| ~ sP925(U_5147) ),
inference(clausify,[status(thm)],[f_1946_4]) ).
cnf(f_1946_9,plain,
( U_5147 = k2_card_1(sK639(U_5147))
| ~ sP925(U_5147) ),
inference(clausify,[status(thm)],[f_1946_4]) ).
fof(f_1947_1,plain,
! [A] :
( ! [B] :
( ( B = k3_card_1(A)
| ! [C] :
( ? [D] :
( k1_funct_1(C,D) != k1_card_1(k8_ordinal2(k2_ordinal1(C,D)))
& D != k1_xboole_0
& v4_ordinal1(D)
& r2_hidden(D,k1_ordinal1(A))
& v3_ordinal1(D) )
| ? [D] :
( k1_funct_1(C,k1_ordinal1(D)) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(C,D))))
& r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
& v3_ordinal1(D) )
| k1_funct_1(C,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(C) != k1_ordinal1(A)
| B != k1_ordinal2(C)
| ~ v5_ordinal1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ( ? [C] :
( ! [D] :
( k1_funct_1(C,D) = k1_card_1(k8_ordinal2(k2_ordinal1(C,D)))
| D = k1_xboole_0
| ~ v4_ordinal1(D)
| ~ r2_hidden(D,k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& ! [D] :
( k1_funct_1(C,k1_ordinal1(D)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(C,D))))
| ~ r2_hidden(k1_ordinal1(D),k1_ordinal1(A))
| ~ v3_ordinal1(D) )
& k1_funct_1(C,k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(C) = k1_ordinal1(A)
& B = k1_ordinal2(C)
& v5_ordinal1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
| B != k3_card_1(A) ) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[d8_card_1]) ).
fof(f_1947_2,plain,
! [U_5155] :
( ! [U_5154] :
( ( U_5154 = k3_card_1(U_5155)
| ! [U_5153] :
( ? [U_5152] :
( k1_funct_1(U_5153,U_5152) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,U_5152)))
& U_5152 != k1_xboole_0
& v4_ordinal1(U_5152)
& r2_hidden(U_5152,k1_ordinal1(U_5155))
& v3_ordinal1(U_5152) )
| ? [U_5151] :
( k1_funct_1(U_5153,k1_ordinal1(U_5151)) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,U_5151))))
& r2_hidden(k1_ordinal1(U_5151),k1_ordinal1(U_5155))
& v3_ordinal1(U_5151) )
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5154 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153) ) )
& ( ? [U_5150] :
( ! [U_5149] :
( k1_funct_1(U_5150,U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(U_5150,U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149) )
& ! [U_5148] :
( k1_funct_1(U_5150,k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5150,U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148) )
& k1_funct_1(U_5150,k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(U_5150) = k1_ordinal1(U_5155)
& U_5154 = k1_ordinal2(U_5150)
& v5_ordinal1(U_5150)
& v1_funct_1(U_5150)
& v1_relat_1(U_5150) )
| U_5154 != k3_card_1(U_5155) ) )
| ~ v3_ordinal1(U_5155) ),
inference(variable_rename,[status(thm)],[f_1947_1]) ).
fof(f_1947_3,plain,
! [U_5155] :
( ( ! [U_5157] :
( U_5157 = k3_card_1(U_5155)
| ! [U_5153] :
( ? [U_5152] :
( k1_funct_1(U_5153,U_5152) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,U_5152)))
& U_5152 != k1_xboole_0
& v4_ordinal1(U_5152)
& r2_hidden(U_5152,k1_ordinal1(U_5155))
& v3_ordinal1(U_5152) )
| ? [U_5151] :
( k1_funct_1(U_5153,k1_ordinal1(U_5151)) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,U_5151))))
& r2_hidden(k1_ordinal1(U_5151),k1_ordinal1(U_5155))
& v3_ordinal1(U_5151) )
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5157 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153) ) )
& ! [U_5156] :
( ? [U_5150] :
( ! [U_5149] :
( k1_funct_1(U_5150,U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(U_5150,U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149) )
& ! [U_5148] :
( k1_funct_1(U_5150,k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5150,U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148) )
& k1_funct_1(U_5150,k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(U_5150) = k1_ordinal1(U_5155)
& U_5156 = k1_ordinal2(U_5150)
& v5_ordinal1(U_5150)
& v1_funct_1(U_5150)
& v1_relat_1(U_5150) )
| U_5156 != k3_card_1(U_5155) ) )
| ~ v3_ordinal1(U_5155) ),
inference(miniscope,[status(thm)],[f_1947_2]) ).
fof(f_1947_4,plain,
! [U_5155] :
( ( ! [U_5157] :
( U_5157 = k3_card_1(U_5155)
| ! [U_5153] :
( ? [U_5152] :
( k1_funct_1(U_5153,U_5152) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,U_5152)))
& U_5152 != k1_xboole_0
& v4_ordinal1(U_5152)
& r2_hidden(U_5152,k1_ordinal1(U_5155))
& v3_ordinal1(U_5152) )
| ? [U_5151] :
( k1_funct_1(U_5153,k1_ordinal1(U_5151)) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,U_5151))))
& r2_hidden(k1_ordinal1(U_5151),k1_ordinal1(U_5155))
& v3_ordinal1(U_5151) )
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5157 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153) ) )
& ! [U_5156] :
( ( ! [U_5149] :
( k1_funct_1(sK640(U_5155,U_5156),U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(sK640(U_5155,U_5156),U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149) )
& ! [U_5148] :
( k1_funct_1(sK640(U_5155,U_5156),k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(sK640(U_5155,U_5156),U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148) )
& k1_funct_1(sK640(U_5155,U_5156),k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(sK640(U_5155,U_5156)) = k1_ordinal1(U_5155)
& U_5156 = k1_ordinal2(sK640(U_5155,U_5156))
& v5_ordinal1(sK640(U_5155,U_5156))
& v1_funct_1(sK640(U_5155,U_5156))
& v1_relat_1(sK640(U_5155,U_5156)) )
| U_5156 != k3_card_1(U_5155) ) )
| ~ v3_ordinal1(U_5155) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK640]),skolemize(U_5150,sK640(U_5155,U_5156))],[f_1947_3]) ).
fof(f_1947_5,plain,
! [U_5155] :
( ( ! [U_5157] :
( U_5157 = k3_card_1(U_5155)
| ! [U_5153] :
( ? [U_5152] :
( k1_funct_1(U_5153,U_5152) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,U_5152)))
& U_5152 != k1_xboole_0
& v4_ordinal1(U_5152)
& r2_hidden(U_5152,k1_ordinal1(U_5155))
& v3_ordinal1(U_5152) )
| ( k1_funct_1(U_5153,k1_ordinal1(sK641(U_5155,U_5157,U_5153))) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,sK641(U_5155,U_5157,U_5153)))))
& r2_hidden(k1_ordinal1(sK641(U_5155,U_5157,U_5153)),k1_ordinal1(U_5155))
& v3_ordinal1(sK641(U_5155,U_5157,U_5153)) )
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5157 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153) ) )
& ! [U_5156] :
( ( ! [U_5149] :
( k1_funct_1(sK640(U_5155,U_5156),U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(sK640(U_5155,U_5156),U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149) )
& ! [U_5148] :
( k1_funct_1(sK640(U_5155,U_5156),k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(sK640(U_5155,U_5156),U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148) )
& k1_funct_1(sK640(U_5155,U_5156),k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(sK640(U_5155,U_5156)) = k1_ordinal1(U_5155)
& U_5156 = k1_ordinal2(sK640(U_5155,U_5156))
& v5_ordinal1(sK640(U_5155,U_5156))
& v1_funct_1(sK640(U_5155,U_5156))
& v1_relat_1(sK640(U_5155,U_5156)) )
| U_5156 != k3_card_1(U_5155) ) )
| ~ v3_ordinal1(U_5155) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK641]),skolemize(U_5151,sK641(U_5155,U_5157,U_5153))],[f_1947_4]) ).
fof(f_1947_6,plain,
! [U_5155] :
( ( ! [U_5157] :
( U_5157 = k3_card_1(U_5155)
| ! [U_5153] :
( ( k1_funct_1(U_5153,sK642(U_5155,U_5157,U_5153)) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,sK642(U_5155,U_5157,U_5153))))
& sK642(U_5155,U_5157,U_5153) != k1_xboole_0
& v4_ordinal1(sK642(U_5155,U_5157,U_5153))
& r2_hidden(sK642(U_5155,U_5157,U_5153),k1_ordinal1(U_5155))
& v3_ordinal1(sK642(U_5155,U_5157,U_5153)) )
| ( k1_funct_1(U_5153,k1_ordinal1(sK641(U_5155,U_5157,U_5153))) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,sK641(U_5155,U_5157,U_5153)))))
& r2_hidden(k1_ordinal1(sK641(U_5155,U_5157,U_5153)),k1_ordinal1(U_5155))
& v3_ordinal1(sK641(U_5155,U_5157,U_5153)) )
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5157 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153) ) )
& ! [U_5156] :
( ( ! [U_5149] :
( k1_funct_1(sK640(U_5155,U_5156),U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(sK640(U_5155,U_5156),U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149) )
& ! [U_5148] :
( k1_funct_1(sK640(U_5155,U_5156),k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(sK640(U_5155,U_5156),U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148) )
& k1_funct_1(sK640(U_5155,U_5156),k1_xboole_0) = k1_card_1(k5_numbers)
& k1_relat_1(sK640(U_5155,U_5156)) = k1_ordinal1(U_5155)
& U_5156 = k1_ordinal2(sK640(U_5155,U_5156))
& v5_ordinal1(sK640(U_5155,U_5156))
& v1_funct_1(sK640(U_5155,U_5156))
& v1_relat_1(sK640(U_5155,U_5156)) )
| U_5156 != k3_card_1(U_5155) ) )
| ~ v3_ordinal1(U_5155) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK642]),skolemize(U_5152,sK642(U_5155,U_5157,U_5153))],[f_1947_5]) ).
fof(f_1947_7,plain,
( ! [U_5155,U_5157,U_5153] :
( k1_funct_1(U_5153,sK642(U_5155,U_5157,U_5153)) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,sK642(U_5155,U_5157,U_5153))))
| ~ sP929(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( sK642(U_5155,U_5157,U_5153) != k1_xboole_0
| ~ sP929(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( v4_ordinal1(sK642(U_5155,U_5157,U_5153))
| ~ sP929(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( r2_hidden(sK642(U_5155,U_5157,U_5153),k1_ordinal1(U_5155))
| ~ sP929(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( v3_ordinal1(sK642(U_5155,U_5157,U_5153))
| ~ sP929(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( k1_funct_1(U_5153,k1_ordinal1(sK641(U_5155,U_5157,U_5153))) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,sK641(U_5155,U_5157,U_5153)))))
| ~ sP928(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( r2_hidden(k1_ordinal1(sK641(U_5155,U_5157,U_5153)),k1_ordinal1(U_5155))
| ~ sP928(U_5155,U_5157,U_5153) )
& ! [U_5155,U_5157,U_5153] :
( v3_ordinal1(sK641(U_5155,U_5157,U_5153))
| ~ sP928(U_5155,U_5157,U_5153) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( k1_funct_1(sK640(U_5155,U_5156),U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(sK640(U_5155,U_5156),U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( k1_funct_1(sK640(U_5155,U_5156),k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(sK640(U_5155,U_5156),U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( k1_funct_1(sK640(U_5155,U_5156),k1_xboole_0) = k1_card_1(k5_numbers)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( k1_relat_1(sK640(U_5155,U_5156)) = k1_ordinal1(U_5155)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( U_5156 = k1_ordinal2(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( v5_ordinal1(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( v1_funct_1(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5148] :
( v1_relat_1(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) )
& ! [U_5149,U_5155,U_5156,U_5157,U_5148,U_5153] :
( U_5157 = k3_card_1(U_5155)
| sP929(U_5155,U_5157,U_5153)
| sP928(U_5155,U_5157,U_5153)
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5157 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153)
| ~ sP930(U_5149,U_5155,U_5156,U_5157,U_5148,U_5153) )
& ! [U_5149,U_5155,U_5156,U_5157,U_5148,U_5153] :
( sP927(U_5149,U_5155,U_5156,U_5148)
| U_5156 != k3_card_1(U_5155)
| ~ sP930(U_5149,U_5155,U_5156,U_5157,U_5148,U_5153) )
& ! [U_5149,U_5155,U_5156,U_5157,U_5148,U_5153] :
( sP930(U_5149,U_5155,U_5156,U_5157,U_5148,U_5153)
| ~ v3_ordinal1(U_5155) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP927,sP928,sP929,sP930])],[f_1947_6]) ).
cnf(f_1947_8,plain,
( sP930(U_5149,U_5155,U_5156,U_5157,U_5148,U_5153)
| ~ v3_ordinal1(U_5155) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_9,plain,
( sP927(U_5149,U_5155,U_5156,U_5148)
| U_5156 != k3_card_1(U_5155)
| ~ sP930(U_5149,U_5155,U_5156,U_5157,U_5148,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_10,plain,
( U_5157 = k3_card_1(U_5155)
| sP929(U_5155,U_5157,U_5153)
| sP928(U_5155,U_5157,U_5153)
| k1_funct_1(U_5153,k1_xboole_0) != k1_card_1(k5_numbers)
| k1_relat_1(U_5153) != k1_ordinal1(U_5155)
| U_5157 != k1_ordinal2(U_5153)
| ~ v5_ordinal1(U_5153)
| ~ v1_funct_1(U_5153)
| ~ v1_relat_1(U_5153)
| ~ sP930(U_5149,U_5155,U_5156,U_5157,U_5148,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_11,plain,
( v1_relat_1(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_12,plain,
( v1_funct_1(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_13,plain,
( v5_ordinal1(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_14,plain,
( U_5156 = k1_ordinal2(sK640(U_5155,U_5156))
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_15,plain,
( k1_relat_1(sK640(U_5155,U_5156)) = k1_ordinal1(U_5155)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_16,plain,
( k1_funct_1(sK640(U_5155,U_5156),k1_xboole_0) = k1_card_1(k5_numbers)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_17,plain,
( k1_funct_1(sK640(U_5155,U_5156),k1_ordinal1(U_5148)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(sK640(U_5155,U_5156),U_5148))))
| ~ r2_hidden(k1_ordinal1(U_5148),k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5148)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_18,plain,
( k1_funct_1(sK640(U_5155,U_5156),U_5149) = k1_card_1(k8_ordinal2(k2_ordinal1(sK640(U_5155,U_5156),U_5149)))
| U_5149 = k1_xboole_0
| ~ v4_ordinal1(U_5149)
| ~ r2_hidden(U_5149,k1_ordinal1(U_5155))
| ~ v3_ordinal1(U_5149)
| ~ sP927(U_5149,U_5155,U_5156,U_5148) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_19,plain,
( v3_ordinal1(sK641(U_5155,U_5157,U_5153))
| ~ sP928(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_20,plain,
( r2_hidden(k1_ordinal1(sK641(U_5155,U_5157,U_5153)),k1_ordinal1(U_5155))
| ~ sP928(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_21,plain,
( k1_funct_1(U_5153,k1_ordinal1(sK641(U_5155,U_5157,U_5153))) != k2_card_1(k3_tarski(k1_tarski(k1_funct_1(U_5153,sK641(U_5155,U_5157,U_5153)))))
| ~ sP928(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_22,plain,
( v3_ordinal1(sK642(U_5155,U_5157,U_5153))
| ~ sP929(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_23,plain,
( r2_hidden(sK642(U_5155,U_5157,U_5153),k1_ordinal1(U_5155))
| ~ sP929(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_24,plain,
( v4_ordinal1(sK642(U_5155,U_5157,U_5153))
| ~ sP929(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_25,plain,
( sK642(U_5155,U_5157,U_5153) != k1_xboole_0
| ~ sP929(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
cnf(f_1947_26,plain,
( k1_funct_1(U_5153,sK642(U_5155,U_5157,U_5153)) != k1_card_1(k8_ordinal2(k2_ordinal1(U_5153,sK642(U_5155,U_5157,U_5153))))
| ~ sP929(U_5155,U_5157,U_5153) ),
inference(clausify,[status(thm)],[f_1947_7]) ).
fof(f_1948_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_card_1]) ).
fof(f_1948_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1948_1]) ).
cnf(f_1948_3,plain,
$true,
inference(clausify,[status(thm)],[f_1948_2]) ).
fof(f_1949_1,plain,
k3_card_1(np__0) = k1_card_1(k5_numbers),
inference(fof_nnf,[status(thm)],[t38_card_1]) ).
fof(f_1949_2,plain,
k3_card_1(np__0) = k1_card_1(k5_numbers),
inference(definitional_conversion,[status(esa)],[f_1949_1]) ).
cnf(f_1949_3,plain,
k3_card_1(np__0) = k1_card_1(k5_numbers),
inference(clausify,[status(thm)],[f_1949_2]) ).
fof(f_1950_1,plain,
! [A] :
( k3_card_1(k1_ordinal1(A)) = k2_card_1(k3_card_1(A))
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t39_card_1]) ).
fof(f_1950_2,plain,
! [U_5158] :
( k3_card_1(k1_ordinal1(U_5158)) = k2_card_1(k3_card_1(U_5158))
| ~ v3_ordinal1(U_5158) ),
inference(variable_rename,[status(thm)],[f_1950_1]) ).
fof(f_1950_3,plain,
! [U_5158] :
( k3_card_1(k1_ordinal1(U_5158)) = k2_card_1(k3_card_1(U_5158))
| ~ v3_ordinal1(U_5158) ),
inference(definitional_conversion,[status(esa)],[f_1950_2]) ).
cnf(f_1950_4,plain,
( k3_card_1(k1_ordinal1(U_5158)) = k2_card_1(k3_card_1(U_5158))
| ~ v3_ordinal1(U_5158) ),
inference(clausify,[status(thm)],[f_1950_3]) ).
fof(f_1951_1,plain,
! [A] :
( ! [B] :
( k3_card_1(A) = k1_card_1(k8_ordinal2(B))
| ? [C] :
( k1_funct_1(B,C) != k3_card_1(C)
& r2_hidden(C,A)
& v3_ordinal1(C) )
| k1_relat_1(B) != A
| ~ v5_ordinal1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| A = k1_xboole_0
| ~ v4_ordinal1(A)
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t40_card_1]) ).
fof(f_1951_2,plain,
! [U_5161] :
( ! [U_5160] :
( k3_card_1(U_5161) = k1_card_1(k8_ordinal2(U_5160))
| ? [U_5159] :
( k1_funct_1(U_5160,U_5159) != k3_card_1(U_5159)
& r2_hidden(U_5159,U_5161)
& v3_ordinal1(U_5159) )
| k1_relat_1(U_5160) != U_5161
| ~ v5_ordinal1(U_5160)
| ~ v1_funct_1(U_5160)
| ~ v1_relat_1(U_5160) )
| U_5161 = k1_xboole_0
| ~ v4_ordinal1(U_5161)
| ~ v3_ordinal1(U_5161) ),
inference(variable_rename,[status(thm)],[f_1951_1]) ).
fof(f_1951_3,plain,
! [U_5161] :
( ! [U_5160] :
( k3_card_1(U_5161) = k1_card_1(k8_ordinal2(U_5160))
| ( k1_funct_1(U_5160,sK643(U_5161,U_5160)) != k3_card_1(sK643(U_5161,U_5160))
& r2_hidden(sK643(U_5161,U_5160),U_5161)
& v3_ordinal1(sK643(U_5161,U_5160)) )
| k1_relat_1(U_5160) != U_5161
| ~ v5_ordinal1(U_5160)
| ~ v1_funct_1(U_5160)
| ~ v1_relat_1(U_5160) )
| U_5161 = k1_xboole_0
| ~ v4_ordinal1(U_5161)
| ~ v3_ordinal1(U_5161) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK643]),skolemize(U_5159,sK643(U_5161,U_5160))],[f_1951_2]) ).
fof(f_1951_4,plain,
( ! [U_5160,U_5161] :
( k1_funct_1(U_5160,sK643(U_5161,U_5160)) != k3_card_1(sK643(U_5161,U_5160))
| ~ sP931(U_5160,U_5161) )
& ! [U_5160,U_5161] :
( r2_hidden(sK643(U_5161,U_5160),U_5161)
| ~ sP931(U_5160,U_5161) )
& ! [U_5160,U_5161] :
( v3_ordinal1(sK643(U_5161,U_5160))
| ~ sP931(U_5160,U_5161) )
& ! [U_5160,U_5161] :
( k3_card_1(U_5161) = k1_card_1(k8_ordinal2(U_5160))
| sP931(U_5160,U_5161)
| k1_relat_1(U_5160) != U_5161
| ~ v5_ordinal1(U_5160)
| ~ v1_funct_1(U_5160)
| ~ v1_relat_1(U_5160)
| U_5161 = k1_xboole_0
| ~ v4_ordinal1(U_5161)
| ~ v3_ordinal1(U_5161) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP931])],[f_1951_3]) ).
cnf(f_1951_5,plain,
( k3_card_1(U_5161) = k1_card_1(k8_ordinal2(U_5160))
| sP931(U_5160,U_5161)
| k1_relat_1(U_5160) != U_5161
| ~ v5_ordinal1(U_5160)
| ~ v1_funct_1(U_5160)
| ~ v1_relat_1(U_5160)
| U_5161 = k1_xboole_0
| ~ v4_ordinal1(U_5161)
| ~ v3_ordinal1(U_5161) ),
inference(clausify,[status(thm)],[f_1951_4]) ).
cnf(f_1951_6,plain,
( v3_ordinal1(sK643(U_5161,U_5160))
| ~ sP931(U_5160,U_5161) ),
inference(clausify,[status(thm)],[f_1951_4]) ).
cnf(f_1951_7,plain,
( r2_hidden(sK643(U_5161,U_5160),U_5161)
| ~ sP931(U_5160,U_5161) ),
inference(clausify,[status(thm)],[f_1951_4]) ).
cnf(f_1951_8,plain,
( k1_funct_1(U_5160,sK643(U_5161,U_5160)) != k3_card_1(sK643(U_5161,U_5160))
| ~ sP931(U_5160,U_5161) ),
inference(clausify,[status(thm)],[f_1951_4]) ).
fof(f_1952_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(A,B)
| ~ r2_hidden(k3_card_1(A),k3_card_1(B)) )
& ( r2_hidden(k3_card_1(A),k3_card_1(B))
| ~ r2_hidden(A,B) ) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t41_card_1]) ).
fof(f_1952_2,plain,
! [U_5163] :
( ! [U_5162] :
( ( ( r2_hidden(U_5163,U_5162)
| ~ r2_hidden(k3_card_1(U_5163),k3_card_1(U_5162)) )
& ( r2_hidden(k3_card_1(U_5163),k3_card_1(U_5162))
| ~ r2_hidden(U_5163,U_5162) ) )
| ~ v3_ordinal1(U_5162) )
| ~ v3_ordinal1(U_5163) ),
inference(variable_rename,[status(thm)],[f_1952_1]) ).
fof(f_1952_3,plain,
( ! [U_5162,U_5163] :
( r2_hidden(U_5163,U_5162)
| ~ r2_hidden(k3_card_1(U_5163),k3_card_1(U_5162))
| ~ sP932(U_5162,U_5163) )
& ! [U_5162,U_5163] :
( r2_hidden(k3_card_1(U_5163),k3_card_1(U_5162))
| ~ r2_hidden(U_5163,U_5162)
| ~ sP932(U_5162,U_5163) )
& ! [U_5162,U_5163] :
( sP932(U_5162,U_5163)
| ~ v3_ordinal1(U_5162)
| ~ v3_ordinal1(U_5163) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP932])],[f_1952_2]) ).
cnf(f_1952_4,plain,
( sP932(U_5162,U_5163)
| ~ v3_ordinal1(U_5162)
| ~ v3_ordinal1(U_5163) ),
inference(clausify,[status(thm)],[f_1952_3]) ).
cnf(f_1952_5,plain,
( r2_hidden(k3_card_1(U_5163),k3_card_1(U_5162))
| ~ r2_hidden(U_5163,U_5162)
| ~ sP932(U_5162,U_5163) ),
inference(clausify,[status(thm)],[f_1952_3]) ).
cnf(f_1952_6,plain,
( r2_hidden(U_5163,U_5162)
| ~ r2_hidden(k3_card_1(U_5163),k3_card_1(U_5162))
| ~ sP932(U_5162,U_5163) ),
inference(clausify,[status(thm)],[f_1952_3]) ).
fof(f_1953_1,plain,
! [A] :
( ! [B] :
( A = B
| k3_card_1(A) != k3_card_1(B)
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t42_card_1]) ).
fof(f_1953_2,plain,
! [U_5165] :
( ! [U_5164] :
( U_5165 = U_5164
| k3_card_1(U_5165) != k3_card_1(U_5164)
| ~ v3_ordinal1(U_5164) )
| ~ v3_ordinal1(U_5165) ),
inference(variable_rename,[status(thm)],[f_1953_1]) ).
fof(f_1953_3,plain,
! [U_5165,U_5164] :
( U_5165 = U_5164
| k3_card_1(U_5165) != k3_card_1(U_5164)
| ~ v3_ordinal1(U_5164)
| ~ v3_ordinal1(U_5165) ),
inference(definitional_conversion,[status(esa)],[f_1953_2]) ).
cnf(f_1953_4,plain,
( U_5165 = U_5164
| k3_card_1(U_5165) != k3_card_1(U_5164)
| ~ v3_ordinal1(U_5164)
| ~ v3_ordinal1(U_5165) ),
inference(clausify,[status(thm)],[f_1953_3]) ).
fof(f_1954_1,plain,
! [A] :
( ! [B] :
( ( ( r1_ordinal1(A,B)
| ~ r1_tarski(k3_card_1(A),k3_card_1(B)) )
& ( r1_tarski(k3_card_1(A),k3_card_1(B))
| ~ r1_ordinal1(A,B) ) )
| ~ v3_ordinal1(B) )
| ~ v3_ordinal1(A) ),
inference(fof_nnf,[status(thm)],[t43_card_1]) ).
fof(f_1954_2,plain,
! [U_5167] :
( ! [U_5166] :
( ( ( r1_ordinal1(U_5167,U_5166)
| ~ r1_tarski(k3_card_1(U_5167),k3_card_1(U_5166)) )
& ( r1_tarski(k3_card_1(U_5167),k3_card_1(U_5166))
| ~ r1_ordinal1(U_5167,U_5166) ) )
| ~ v3_ordinal1(U_5166) )
| ~ v3_ordinal1(U_5167) ),
inference(variable_rename,[status(thm)],[f_1954_1]) ).
fof(f_1954_3,plain,
( ! [U_5166,U_5167] :
( r1_ordinal1(U_5167,U_5166)
| ~ r1_tarski(k3_card_1(U_5167),k3_card_1(U_5166))
| ~ sP933(U_5166,U_5167) )
& ! [U_5166,U_5167] :
( r1_tarski(k3_card_1(U_5167),k3_card_1(U_5166))
| ~ r1_ordinal1(U_5167,U_5166)
| ~ sP933(U_5166,U_5167) )
& ! [U_5166,U_5167] :
( sP933(U_5166,U_5167)
| ~ v3_ordinal1(U_5166)
| ~ v3_ordinal1(U_5167) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP933])],[f_1954_2]) ).
cnf(f_1954_4,plain,
( sP933(U_5166,U_5167)
| ~ v3_ordinal1(U_5166)
| ~ v3_ordinal1(U_5167) ),
inference(clausify,[status(thm)],[f_1954_3]) ).
cnf(f_1954_5,plain,
( r1_tarski(k3_card_1(U_5167),k3_card_1(U_5166))
| ~ r1_ordinal1(U_5167,U_5166)
| ~ sP933(U_5166,U_5167) ),
inference(clausify,[status(thm)],[f_1954_3]) ).
cnf(f_1954_6,plain,
( r1_ordinal1(U_5167,U_5166)
| ~ r1_tarski(k3_card_1(U_5167),k3_card_1(U_5166))
| ~ sP933(U_5166,U_5167) ),
inference(clausify,[status(thm)],[f_1954_3]) ).
fof(f_1955_1,plain,
! [A,B,C] :
( ( r2_wellord2(B,C)
& r2_wellord2(A,B) )
| ~ r2_wellord2(A,C)
| ~ r1_tarski(B,C)
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t44_card_1]) ).
fof(f_1955_2,plain,
! [U_5170,U_5169,U_5168] :
( ( r2_wellord2(U_5169,U_5168)
& r2_wellord2(U_5170,U_5169) )
| ~ r2_wellord2(U_5170,U_5168)
| ~ r1_tarski(U_5169,U_5168)
| ~ r1_tarski(U_5170,U_5169) ),
inference(variable_rename,[status(thm)],[f_1955_1]) ).
fof(f_1955_3,plain,
( ! [U_5169,U_5170,U_5168] :
( r2_wellord2(U_5169,U_5168)
| ~ sP934(U_5169,U_5170,U_5168) )
& ! [U_5169,U_5170,U_5168] :
( r2_wellord2(U_5170,U_5169)
| ~ sP934(U_5169,U_5170,U_5168) )
& ! [U_5169,U_5170,U_5168] :
( sP934(U_5169,U_5170,U_5168)
| ~ r2_wellord2(U_5170,U_5168)
| ~ r1_tarski(U_5169,U_5168)
| ~ r1_tarski(U_5170,U_5169) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP934])],[f_1955_2]) ).
cnf(f_1955_4,plain,
( sP934(U_5169,U_5170,U_5168)
| ~ r2_wellord2(U_5170,U_5168)
| ~ r1_tarski(U_5169,U_5168)
| ~ r1_tarski(U_5170,U_5169) ),
inference(clausify,[status(thm)],[f_1955_3]) ).
cnf(f_1955_5,plain,
( r2_wellord2(U_5170,U_5169)
| ~ sP934(U_5169,U_5170,U_5168) ),
inference(clausify,[status(thm)],[f_1955_3]) ).
cnf(f_1955_6,plain,
( r2_wellord2(U_5169,U_5168)
| ~ sP934(U_5169,U_5170,U_5168) ),
inference(clausify,[status(thm)],[f_1955_3]) ).
fof(f_1956_1,plain,
! [A,B] :
( ( ~ r2_wellord2(A,B)
& r2_hidden(k1_card_1(A),k1_card_1(B)) )
| ~ r1_tarski(k1_zfmisc_1(A),B) ),
inference(fof_nnf,[status(thm)],[t45_card_1]) ).
fof(f_1956_2,plain,
! [U_5172,U_5171] :
( ( ~ r2_wellord2(U_5172,U_5171)
& r2_hidden(k1_card_1(U_5172),k1_card_1(U_5171)) )
| ~ r1_tarski(k1_zfmisc_1(U_5172),U_5171) ),
inference(variable_rename,[status(thm)],[f_1956_1]) ).
fof(f_1956_3,plain,
( ! [U_5172,U_5171] :
( ~ r2_wellord2(U_5172,U_5171)
| ~ sP935(U_5172,U_5171) )
& ! [U_5172,U_5171] :
( r2_hidden(k1_card_1(U_5172),k1_card_1(U_5171))
| ~ sP935(U_5172,U_5171) )
& ! [U_5172,U_5171] :
( sP935(U_5172,U_5171)
| ~ r1_tarski(k1_zfmisc_1(U_5172),U_5171) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP935])],[f_1956_2]) ).
cnf(f_1956_4,plain,
( sP935(U_5172,U_5171)
| ~ r1_tarski(k1_zfmisc_1(U_5172),U_5171) ),
inference(clausify,[status(thm)],[f_1956_3]) ).
cnf(f_1956_5,plain,
( r2_hidden(k1_card_1(U_5172),k1_card_1(U_5171))
| ~ sP935(U_5172,U_5171) ),
inference(clausify,[status(thm)],[f_1956_3]) ).
cnf(f_1956_6,plain,
( ~ r2_wellord2(U_5172,U_5171)
| ~ sP935(U_5172,U_5171) ),
inference(clausify,[status(thm)],[f_1956_3]) ).
fof(f_1957_1,plain,
! [A] :
( ( r2_wellord2(A,k1_xboole_0)
| A != k1_xboole_0 )
& ( A = k1_xboole_0
| ~ r2_wellord2(A,k1_xboole_0) ) ),
inference(fof_nnf,[status(thm)],[t46_card_1]) ).
fof(f_1957_2,plain,
! [U_5173] :
( ( r2_wellord2(U_5173,k1_xboole_0)
| U_5173 != k1_xboole_0 )
& ( U_5173 = k1_xboole_0
| ~ r2_wellord2(U_5173,k1_xboole_0) ) ),
inference(variable_rename,[status(thm)],[f_1957_1]) ).
fof(f_1957_3,plain,
( ! [U_5175] :
( r2_wellord2(U_5175,k1_xboole_0)
| U_5175 != k1_xboole_0 )
& ! [U_5174] :
( U_5174 = k1_xboole_0
| ~ r2_wellord2(U_5174,k1_xboole_0) ) ),
inference(miniscope,[status(thm)],[f_1957_2]) ).
fof(f_1957_4,plain,
( ! [U_5175] :
( r2_wellord2(U_5175,k1_xboole_0)
| U_5175 != k1_xboole_0 )
& ! [U_5174] :
( U_5174 = k1_xboole_0
| ~ r2_wellord2(U_5174,k1_xboole_0) ) ),
inference(definitional_conversion,[status(esa)],[f_1957_3]) ).
cnf(f_1957_5,plain,
( U_5174 = k1_xboole_0
| ~ r2_wellord2(U_5174,k1_xboole_0) ),
inference(clausify,[status(thm)],[f_1957_4]) ).
cnf(f_1957_6,plain,
( r2_wellord2(U_5175,k1_xboole_0)
| U_5175 != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_1957_4]) ).
fof(f_1958_1,plain,
k1_card_1(k1_xboole_0) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t47_card_1]) ).
fof(f_1958_2,plain,
k1_card_1(k1_xboole_0) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_1958_1]) ).
cnf(f_1958_3,plain,
k1_card_1(k1_xboole_0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_1958_2]) ).
fof(f_1959_1,plain,
! [A,B] :
( ( r2_wellord2(A,k1_tarski(B))
| ! [C] : A != k1_tarski(C) )
& ( ? [C] : A = k1_tarski(C)
| ~ r2_wellord2(A,k1_tarski(B)) ) ),
inference(fof_nnf,[status(thm)],[t48_card_1]) ).
fof(f_1959_2,plain,
! [U_5179,U_5178] :
( ( r2_wellord2(U_5179,k1_tarski(U_5178))
| ! [U_5177] : U_5179 != k1_tarski(U_5177) )
& ( ? [U_5176] : U_5179 = k1_tarski(U_5176)
| ~ r2_wellord2(U_5179,k1_tarski(U_5178)) ) ),
inference(variable_rename,[status(thm)],[f_1959_1]) ).
fof(f_1959_3,plain,
( ! [U_5183] :
( ! [U_5181] : r2_wellord2(U_5183,k1_tarski(U_5181))
| ! [U_5177] : U_5183 != k1_tarski(U_5177) )
& ! [U_5182] :
( ! [U_5180] : ~ r2_wellord2(U_5182,k1_tarski(U_5180))
| ? [U_5176] : U_5182 = k1_tarski(U_5176) ) ),
inference(miniscope,[status(thm)],[f_1959_2]) ).
fof(f_1959_4,plain,
( ! [U_5183] :
( ! [U_5181] : r2_wellord2(U_5183,k1_tarski(U_5181))
| ! [U_5177] : U_5183 != k1_tarski(U_5177) )
& ! [U_5182] :
( ! [U_5180] : ~ r2_wellord2(U_5182,k1_tarski(U_5180))
| U_5182 = k1_tarski(sK644(U_5182)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK644]),skolemize(U_5176,sK644(U_5182))],[f_1959_3]) ).
fof(f_1959_5,plain,
( ! [U_5181,U_5183,U_5177] :
( r2_wellord2(U_5183,k1_tarski(U_5181))
| U_5183 != k1_tarski(U_5177) )
& ! [U_5180,U_5182] :
( ~ r2_wellord2(U_5182,k1_tarski(U_5180))
| U_5182 = k1_tarski(sK644(U_5182)) ) ),
inference(definitional_conversion,[status(esa)],[f_1959_4]) ).
cnf(f_1959_6,plain,
( ~ r2_wellord2(U_5182,k1_tarski(U_5180))
| U_5182 = k1_tarski(sK644(U_5182)) ),
inference(clausify,[status(thm)],[f_1959_5]) ).
cnf(f_1959_7,plain,
( r2_wellord2(U_5183,k1_tarski(U_5181))
| U_5183 != k1_tarski(U_5177) ),
inference(clausify,[status(thm)],[f_1959_5]) ).
fof(f_1960_1,plain,
! [A,B] :
( ( k1_card_1(A) = k1_card_1(k1_tarski(B))
| ! [C] : A != k1_tarski(C) )
& ( ? [C] : A = k1_tarski(C)
| k1_card_1(A) != k1_card_1(k1_tarski(B)) ) ),
inference(fof_nnf,[status(thm)],[t49_card_1]) ).
fof(f_1960_2,plain,
! [U_5187,U_5186] :
( ( k1_card_1(U_5187) = k1_card_1(k1_tarski(U_5186))
| ! [U_5185] : U_5187 != k1_tarski(U_5185) )
& ( ? [U_5184] : U_5187 = k1_tarski(U_5184)
| k1_card_1(U_5187) != k1_card_1(k1_tarski(U_5186)) ) ),
inference(variable_rename,[status(thm)],[f_1960_1]) ).
fof(f_1960_3,plain,
( ! [U_5191] :
( ! [U_5189] : k1_card_1(U_5191) = k1_card_1(k1_tarski(U_5189))
| ! [U_5185] : U_5191 != k1_tarski(U_5185) )
& ! [U_5190] :
( ! [U_5188] : k1_card_1(U_5190) != k1_card_1(k1_tarski(U_5188))
| ? [U_5184] : U_5190 = k1_tarski(U_5184) ) ),
inference(miniscope,[status(thm)],[f_1960_2]) ).
fof(f_1960_4,plain,
( ! [U_5191] :
( ! [U_5189] : k1_card_1(U_5191) = k1_card_1(k1_tarski(U_5189))
| ! [U_5185] : U_5191 != k1_tarski(U_5185) )
& ! [U_5190] :
( ! [U_5188] : k1_card_1(U_5190) != k1_card_1(k1_tarski(U_5188))
| U_5190 = k1_tarski(sK645(U_5190)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK645]),skolemize(U_5184,sK645(U_5190))],[f_1960_3]) ).
fof(f_1960_5,plain,
( ! [U_5191,U_5189,U_5185] :
( k1_card_1(U_5191) = k1_card_1(k1_tarski(U_5189))
| U_5191 != k1_tarski(U_5185) )
& ! [U_5190,U_5188] :
( k1_card_1(U_5190) != k1_card_1(k1_tarski(U_5188))
| U_5190 = k1_tarski(sK645(U_5190)) ) ),
inference(definitional_conversion,[status(esa)],[f_1960_4]) ).
cnf(f_1960_6,plain,
( k1_card_1(U_5190) != k1_card_1(k1_tarski(U_5188))
| U_5190 = k1_tarski(sK645(U_5190)) ),
inference(clausify,[status(thm)],[f_1960_5]) ).
cnf(f_1960_7,plain,
( k1_card_1(U_5191) = k1_card_1(k1_tarski(U_5189))
| U_5191 != k1_tarski(U_5185) ),
inference(clausify,[status(thm)],[f_1960_5]) ).
fof(f_1961_1,plain,
! [A] : k1_card_1(k1_tarski(A)) = k4_ordinal2,
inference(fof_nnf,[status(thm)],[t50_card_1]) ).
fof(f_1961_2,plain,
! [U_5192] : k1_card_1(k1_tarski(U_5192)) = k4_ordinal2,
inference(variable_rename,[status(thm)],[f_1961_1]) ).
fof(f_1961_3,plain,
! [U_5192] : k1_card_1(k1_tarski(U_5192)) = k4_ordinal2,
inference(definitional_conversion,[status(esa)],[f_1961_2]) ).
cnf(f_1961_4,plain,
k1_card_1(k1_tarski(U_5192)) = k4_ordinal2,
inference(clausify,[status(thm)],[f_1961_3]) ).
fof(f_1962_1,plain,
np__0 = k1_xboole_0,
inference(fof_nnf,[status(thm)],[t51_card_1]) ).
fof(f_1962_2,plain,
np__0 = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_1962_1]) ).
cnf(f_1962_3,plain,
np__0 = k1_xboole_0,
inference(clausify,[status(thm)],[f_1962_2]) ).
fof(f_1963_1,plain,
! [A] :
( k1_ordinal1(A) = k1_nat_1(A,np__1)
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t52_card_1]) ).
fof(f_1963_2,plain,
! [U_5193] :
( k1_ordinal1(U_5193) = k1_nat_1(U_5193,np__1)
| ~ m2_subset_1(U_5193,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1963_1]) ).
fof(f_1963_3,plain,
! [U_5193] :
( k1_ordinal1(U_5193) = k1_nat_1(U_5193,np__1)
| ~ m2_subset_1(U_5193,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1963_2]) ).
cnf(f_1963_4,plain,
( k1_ordinal1(U_5193) = k1_nat_1(U_5193,np__1)
| ~ m2_subset_1(U_5193,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1963_3]) ).
fof(f_1964_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_card_1]) ).
fof(f_1964_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1964_1]) ).
cnf(f_1964_3,plain,
$true,
inference(clausify,[status(thm)],[f_1964_2]) ).
fof(f_1965_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t54_card_1]) ).
fof(f_1965_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1965_1]) ).
cnf(f_1965_3,plain,
$true,
inference(clausify,[status(thm)],[f_1965_2]) ).
fof(f_1966_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t55_card_1]) ).
fof(f_1966_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1966_1]) ).
cnf(f_1966_3,plain,
$true,
inference(clausify,[status(thm)],[f_1966_2]) ).
fof(f_1967_1,plain,
! [A] :
( ! [B] :
( ( ( r1_xreal_0(A,B)
| ~ r1_ordinal1(A,B) )
& ( r1_ordinal1(A,B)
| ~ r1_xreal_0(A,B) ) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t56_card_1]) ).
fof(f_1967_2,plain,
! [U_5195] :
( ! [U_5194] :
( ( ( r1_xreal_0(U_5195,U_5194)
| ~ r1_ordinal1(U_5195,U_5194) )
& ( r1_ordinal1(U_5195,U_5194)
| ~ r1_xreal_0(U_5195,U_5194) ) )
| ~ m2_subset_1(U_5194,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5195,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1967_1]) ).
fof(f_1967_3,plain,
( ! [U_5195,U_5194] :
( r1_xreal_0(U_5195,U_5194)
| ~ r1_ordinal1(U_5195,U_5194)
| ~ sP936(U_5195,U_5194) )
& ! [U_5195,U_5194] :
( r1_ordinal1(U_5195,U_5194)
| ~ r1_xreal_0(U_5195,U_5194)
| ~ sP936(U_5195,U_5194) )
& ! [U_5195,U_5194] :
( sP936(U_5195,U_5194)
| ~ m2_subset_1(U_5194,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5195,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP936])],[f_1967_2]) ).
cnf(f_1967_4,plain,
( sP936(U_5195,U_5194)
| ~ m2_subset_1(U_5194,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5195,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1967_3]) ).
cnf(f_1967_5,plain,
( r1_ordinal1(U_5195,U_5194)
| ~ r1_xreal_0(U_5195,U_5194)
| ~ sP936(U_5195,U_5194) ),
inference(clausify,[status(thm)],[f_1967_3]) ).
cnf(f_1967_6,plain,
( r1_xreal_0(U_5195,U_5194)
| ~ r1_ordinal1(U_5195,U_5194)
| ~ sP936(U_5195,U_5194) ),
inference(clausify,[status(thm)],[f_1967_3]) ).
fof(f_1968_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_card_1]) ).
fof(f_1968_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1968_1]) ).
cnf(f_1968_3,plain,
$true,
inference(clausify,[status(thm)],[f_1968_2]) ).
fof(f_1969_1,plain,
! [A,B,C,D] :
( r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D))
| ~ r2_wellord2(B,D)
| ~ r2_wellord2(A,C)
| ~ r1_xboole_0(C,D)
| ~ r1_xboole_0(A,B) ),
inference(fof_nnf,[status(thm)],[t58_card_1]) ).
fof(f_1969_2,plain,
! [U_5199,U_5198,U_5197,U_5196] :
( r2_wellord2(k2_xboole_0(U_5199,U_5198),k2_xboole_0(U_5197,U_5196))
| ~ r2_wellord2(U_5198,U_5196)
| ~ r2_wellord2(U_5199,U_5197)
| ~ r1_xboole_0(U_5197,U_5196)
| ~ r1_xboole_0(U_5199,U_5198) ),
inference(variable_rename,[status(thm)],[f_1969_1]) ).
fof(f_1969_3,plain,
! [U_5198,U_5196,U_5199,U_5197] :
( r2_wellord2(k2_xboole_0(U_5199,U_5198),k2_xboole_0(U_5197,U_5196))
| ~ r2_wellord2(U_5198,U_5196)
| ~ r2_wellord2(U_5199,U_5197)
| ~ r1_xboole_0(U_5197,U_5196)
| ~ r1_xboole_0(U_5199,U_5198) ),
inference(definitional_conversion,[status(esa)],[f_1969_2]) ).
cnf(f_1969_4,plain,
( r2_wellord2(k2_xboole_0(U_5199,U_5198),k2_xboole_0(U_5197,U_5196))
| ~ r2_wellord2(U_5198,U_5196)
| ~ r2_wellord2(U_5199,U_5197)
| ~ r1_xboole_0(U_5197,U_5196)
| ~ r1_xboole_0(U_5199,U_5198) ),
inference(clausify,[status(thm)],[f_1969_3]) ).
fof(f_1970_1,plain,
! [A,B,C] :
( r2_wellord2(k4_xboole_0(B,k1_tarski(A)),k4_xboole_0(B,k1_tarski(C)))
| ~ r2_hidden(C,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t59_card_1]) ).
fof(f_1970_2,plain,
! [U_5202,U_5201,U_5200] :
( r2_wellord2(k4_xboole_0(U_5201,k1_tarski(U_5202)),k4_xboole_0(U_5201,k1_tarski(U_5200)))
| ~ r2_hidden(U_5200,U_5201)
| ~ r2_hidden(U_5202,U_5201) ),
inference(variable_rename,[status(thm)],[f_1970_1]) ).
fof(f_1970_3,plain,
! [U_5200,U_5201,U_5202] :
( r2_wellord2(k4_xboole_0(U_5201,k1_tarski(U_5202)),k4_xboole_0(U_5201,k1_tarski(U_5200)))
| ~ r2_hidden(U_5200,U_5201)
| ~ r2_hidden(U_5202,U_5201) ),
inference(definitional_conversion,[status(esa)],[f_1970_2]) ).
cnf(f_1970_4,plain,
( r2_wellord2(k4_xboole_0(U_5201,k1_tarski(U_5202)),k4_xboole_0(U_5201,k1_tarski(U_5200)))
| ~ r2_hidden(U_5200,U_5201)
| ~ r2_hidden(U_5202,U_5201) ),
inference(clausify,[status(thm)],[f_1970_3]) ).
fof(f_1971_1,plain,
! [A,B] :
( r2_wellord2(A,k9_relat_1(B,A))
| ~ v2_funct_1(B)
| ~ r1_tarski(A,k1_relat_1(B))
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t60_card_1]) ).
fof(f_1971_2,plain,
! [U_5204,U_5203] :
( r2_wellord2(U_5204,k9_relat_1(U_5203,U_5204))
| ~ v2_funct_1(U_5203)
| ~ r1_tarski(U_5204,k1_relat_1(U_5203))
| ~ v1_funct_1(U_5203)
| ~ v1_relat_1(U_5203) ),
inference(variable_rename,[status(thm)],[f_1971_1]) ).
fof(f_1971_3,plain,
! [U_5203,U_5204] :
( r2_wellord2(U_5204,k9_relat_1(U_5203,U_5204))
| ~ v2_funct_1(U_5203)
| ~ r1_tarski(U_5204,k1_relat_1(U_5203))
| ~ v1_funct_1(U_5203)
| ~ v1_relat_1(U_5203) ),
inference(definitional_conversion,[status(esa)],[f_1971_2]) ).
cnf(f_1971_4,plain,
( r2_wellord2(U_5204,k9_relat_1(U_5203,U_5204))
| ~ v2_funct_1(U_5203)
| ~ r1_tarski(U_5204,k1_relat_1(U_5203))
| ~ v1_funct_1(U_5203)
| ~ v1_relat_1(U_5203) ),
inference(clausify,[status(thm)],[f_1971_3]) ).
fof(f_1972_1,plain,
! [A,B,C,D] :
( r2_wellord2(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(B,k1_tarski(D)))
| ~ r2_hidden(D,B)
| ~ r2_hidden(C,A)
| ~ r2_wellord2(A,B) ),
inference(fof_nnf,[status(thm)],[t61_card_1]) ).
fof(f_1972_2,plain,
! [U_5208,U_5207,U_5206,U_5205] :
( r2_wellord2(k4_xboole_0(U_5208,k1_tarski(U_5206)),k4_xboole_0(U_5207,k1_tarski(U_5205)))
| ~ r2_hidden(U_5205,U_5207)
| ~ r2_hidden(U_5206,U_5208)
| ~ r2_wellord2(U_5208,U_5207) ),
inference(variable_rename,[status(thm)],[f_1972_1]) ).
fof(f_1972_3,plain,
! [U_5206,U_5205,U_5208,U_5207] :
( r2_wellord2(k4_xboole_0(U_5208,k1_tarski(U_5206)),k4_xboole_0(U_5207,k1_tarski(U_5205)))
| ~ r2_hidden(U_5205,U_5207)
| ~ r2_hidden(U_5206,U_5208)
| ~ r2_wellord2(U_5208,U_5207) ),
inference(definitional_conversion,[status(esa)],[f_1972_2]) ).
cnf(f_1972_4,plain,
( r2_wellord2(k4_xboole_0(U_5208,k1_tarski(U_5206)),k4_xboole_0(U_5207,k1_tarski(U_5205)))
| ~ r2_hidden(U_5205,U_5207)
| ~ r2_hidden(U_5206,U_5208)
| ~ r2_wellord2(U_5208,U_5207) ),
inference(clausify,[status(thm)],[f_1972_3]) ).
fof(f_1973_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t62_card_1]) ).
fof(f_1973_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1973_1]) ).
cnf(f_1973_3,plain,
$true,
inference(clausify,[status(thm)],[f_1973_2]) ).
fof(f_1974_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t63_card_1]) ).
fof(f_1974_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1974_1]) ).
cnf(f_1974_3,plain,
$true,
inference(clausify,[status(thm)],[f_1974_2]) ).
fof(f_1975_1,plain,
! [A] :
( ! [B] :
( A = B
| ~ r2_wellord2(A,B)
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t64_card_1]) ).
fof(f_1975_2,plain,
! [U_5210] :
( ! [U_5209] :
( U_5210 = U_5209
| ~ r2_wellord2(U_5210,U_5209)
| ~ m2_subset_1(U_5209,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5210,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1975_1]) ).
fof(f_1975_3,plain,
! [U_5210,U_5209] :
( U_5210 = U_5209
| ~ r2_wellord2(U_5210,U_5209)
| ~ m2_subset_1(U_5209,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5210,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1975_2]) ).
cnf(f_1975_4,plain,
( U_5210 = U_5209
| ~ r2_wellord2(U_5210,U_5209)
| ~ m2_subset_1(U_5209,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5210,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1975_3]) ).
fof(f_1976_1,plain,
! [A] :
( v1_card_1(A)
| ~ r2_hidden(A,k5_ordinal2) ),
inference(fof_nnf,[status(thm)],[t65_card_1]) ).
fof(f_1976_2,plain,
! [U_5211] :
( v1_card_1(U_5211)
| ~ r2_hidden(U_5211,k5_ordinal2) ),
inference(variable_rename,[status(thm)],[f_1976_1]) ).
fof(f_1976_3,plain,
! [U_5211] :
( v1_card_1(U_5211)
| ~ r2_hidden(U_5211,k5_ordinal2) ),
inference(definitional_conversion,[status(esa)],[f_1976_2]) ).
cnf(f_1976_4,plain,
( v1_card_1(U_5211)
| ~ r2_hidden(U_5211,k5_ordinal2) ),
inference(clausify,[status(thm)],[f_1976_3]) ).
fof(f_1977_1,plain,
! [A] :
( A = k1_card_1(A)
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t66_card_1]) ).
fof(f_1977_2,plain,
! [U_5212] :
( U_5212 = k1_card_1(U_5212)
| ~ m2_subset_1(U_5212,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1977_1]) ).
fof(f_1977_3,plain,
! [U_5212] :
( U_5212 = k1_card_1(U_5212)
| ~ m2_subset_1(U_5212,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1977_2]) ).
cnf(f_1977_4,plain,
( U_5212 = k1_card_1(U_5212)
| ~ m2_subset_1(U_5212,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1977_3]) ).
fof(f_1978_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t67_card_1]) ).
fof(f_1978_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1978_1]) ).
cnf(f_1978_3,plain,
$true,
inference(clausify,[status(thm)],[f_1978_2]) ).
fof(f_1979_1,plain,
! [A,B] :
( v1_finset_1(B)
| ~ v1_finset_1(A)
| ~ r2_wellord2(A,B) ),
inference(fof_nnf,[status(thm)],[t68_card_1]) ).
fof(f_1979_2,plain,
! [U_5214,U_5213] :
( v1_finset_1(U_5213)
| ~ v1_finset_1(U_5214)
| ~ r2_wellord2(U_5214,U_5213) ),
inference(variable_rename,[status(thm)],[f_1979_1]) ).
fof(f_1979_3,plain,
! [U_5213,U_5214] :
( v1_finset_1(U_5213)
| ~ v1_finset_1(U_5214)
| ~ r2_wellord2(U_5214,U_5213) ),
inference(definitional_conversion,[status(esa)],[f_1979_2]) ).
cnf(f_1979_4,plain,
( v1_finset_1(U_5213)
| ~ v1_finset_1(U_5214)
| ~ r2_wellord2(U_5214,U_5213) ),
inference(clausify,[status(thm)],[f_1979_3]) ).
fof(f_1980_1,plain,
! [A] :
( ( v1_finset_1(k1_card_1(A))
& v1_finset_1(A) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t69_card_1]) ).
fof(f_1980_2,plain,
! [U_5215] :
( ( v1_finset_1(k1_card_1(U_5215))
& v1_finset_1(U_5215) )
| ~ m2_subset_1(U_5215,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1980_1]) ).
fof(f_1980_3,plain,
( ! [U_5215] :
( v1_finset_1(k1_card_1(U_5215))
| ~ sP937(U_5215) )
& ! [U_5215] :
( v1_finset_1(U_5215)
| ~ sP937(U_5215) )
& ! [U_5215] :
( sP937(U_5215)
| ~ m2_subset_1(U_5215,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP937])],[f_1980_2]) ).
cnf(f_1980_4,plain,
( sP937(U_5215)
| ~ m2_subset_1(U_5215,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1980_3]) ).
cnf(f_1980_5,plain,
( v1_finset_1(U_5215)
| ~ sP937(U_5215) ),
inference(clausify,[status(thm)],[f_1980_3]) ).
cnf(f_1980_6,plain,
( v1_finset_1(k1_card_1(U_5215))
| ~ sP937(U_5215) ),
inference(clausify,[status(thm)],[f_1980_3]) ).
fof(f_1981_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t70_card_1]) ).
fof(f_1981_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1981_1]) ).
cnf(f_1981_3,plain,
$true,
inference(clausify,[status(thm)],[f_1981_2]) ).
fof(f_1982_1,plain,
! [A] :
( ! [B] :
( A = B
| k1_card_1(A) != k1_card_1(B)
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t71_card_1]) ).
fof(f_1982_2,plain,
! [U_5217] :
( ! [U_5216] :
( U_5217 = U_5216
| k1_card_1(U_5217) != k1_card_1(U_5216)
| ~ m2_subset_1(U_5216,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5217,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1982_1]) ).
fof(f_1982_3,plain,
! [U_5217,U_5216] :
( U_5217 = U_5216
| k1_card_1(U_5217) != k1_card_1(U_5216)
| ~ m2_subset_1(U_5216,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5217,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1982_2]) ).
cnf(f_1982_4,plain,
( U_5217 = U_5216
| k1_card_1(U_5217) != k1_card_1(U_5216)
| ~ m2_subset_1(U_5216,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5217,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1982_3]) ).
fof(f_1983_1,plain,
! [A] :
( ! [B] :
( ( ( r1_tarski(k1_card_1(A),k1_card_1(B))
| ~ r1_xreal_0(A,B) )
& ( r1_xreal_0(A,B)
| ~ r1_tarski(k1_card_1(A),k1_card_1(B)) ) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t72_card_1]) ).
fof(f_1983_2,plain,
! [U_5219] :
( ! [U_5218] :
( ( ( r1_tarski(k1_card_1(U_5219),k1_card_1(U_5218))
| ~ r1_xreal_0(U_5219,U_5218) )
& ( r1_xreal_0(U_5219,U_5218)
| ~ r1_tarski(k1_card_1(U_5219),k1_card_1(U_5218)) ) )
| ~ m2_subset_1(U_5218,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5219,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1983_1]) ).
fof(f_1983_3,plain,
( ! [U_5218,U_5219] :
( r1_tarski(k1_card_1(U_5219),k1_card_1(U_5218))
| ~ r1_xreal_0(U_5219,U_5218)
| ~ sP938(U_5218,U_5219) )
& ! [U_5218,U_5219] :
( r1_xreal_0(U_5219,U_5218)
| ~ r1_tarski(k1_card_1(U_5219),k1_card_1(U_5218))
| ~ sP938(U_5218,U_5219) )
& ! [U_5218,U_5219] :
( sP938(U_5218,U_5219)
| ~ m2_subset_1(U_5218,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5219,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP938])],[f_1983_2]) ).
cnf(f_1983_4,plain,
( sP938(U_5218,U_5219)
| ~ m2_subset_1(U_5218,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5219,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1983_3]) ).
cnf(f_1983_5,plain,
( r1_xreal_0(U_5219,U_5218)
| ~ r1_tarski(k1_card_1(U_5219),k1_card_1(U_5218))
| ~ sP938(U_5218,U_5219) ),
inference(clausify,[status(thm)],[f_1983_3]) ).
cnf(f_1983_6,plain,
( r1_tarski(k1_card_1(U_5219),k1_card_1(U_5218))
| ~ r1_xreal_0(U_5219,U_5218)
| ~ sP938(U_5218,U_5219) ),
inference(clausify,[status(thm)],[f_1983_3]) ).
fof(f_1984_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(k1_card_1(A),k1_card_1(B))
| r1_xreal_0(B,A) )
& ( ~ r1_xreal_0(B,A)
| ~ r2_hidden(k1_card_1(A),k1_card_1(B)) ) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t73_card_1]) ).
fof(f_1984_2,plain,
! [U_5221] :
( ! [U_5220] :
( ( ( r2_hidden(k1_card_1(U_5221),k1_card_1(U_5220))
| r1_xreal_0(U_5220,U_5221) )
& ( ~ r1_xreal_0(U_5220,U_5221)
| ~ r2_hidden(k1_card_1(U_5221),k1_card_1(U_5220)) ) )
| ~ m2_subset_1(U_5220,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5221,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1984_1]) ).
fof(f_1984_3,plain,
( ! [U_5221,U_5220] :
( r2_hidden(k1_card_1(U_5221),k1_card_1(U_5220))
| r1_xreal_0(U_5220,U_5221)
| ~ sP939(U_5221,U_5220) )
& ! [U_5221,U_5220] :
( ~ r1_xreal_0(U_5220,U_5221)
| ~ r2_hidden(k1_card_1(U_5221),k1_card_1(U_5220))
| ~ sP939(U_5221,U_5220) )
& ! [U_5221,U_5220] :
( sP939(U_5221,U_5220)
| ~ m2_subset_1(U_5220,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5221,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP939])],[f_1984_2]) ).
cnf(f_1984_4,plain,
( sP939(U_5221,U_5220)
| ~ m2_subset_1(U_5220,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5221,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1984_3]) ).
cnf(f_1984_5,plain,
( ~ r1_xreal_0(U_5220,U_5221)
| ~ r2_hidden(k1_card_1(U_5221),k1_card_1(U_5220))
| ~ sP939(U_5221,U_5220) ),
inference(clausify,[status(thm)],[f_1984_3]) ).
cnf(f_1984_6,plain,
( r2_hidden(k1_card_1(U_5221),k1_card_1(U_5220))
| r1_xreal_0(U_5220,U_5221)
| ~ sP939(U_5221,U_5220) ),
inference(clausify,[status(thm)],[f_1984_3]) ).
fof(f_1985_1,plain,
! [A] :
( ? [B] :
( r2_wellord2(A,B)
& m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t74_card_1]) ).
fof(f_1985_2,plain,
! [U_5223] :
( ? [U_5222] :
( r2_wellord2(U_5223,U_5222)
& m2_subset_1(U_5222,k1_numbers,k5_numbers) )
| ~ v1_finset_1(U_5223) ),
inference(variable_rename,[status(thm)],[f_1985_1]) ).
fof(f_1985_3,plain,
! [U_5223] :
( ( r2_wellord2(U_5223,sK646(U_5223))
& m2_subset_1(sK646(U_5223),k1_numbers,k5_numbers) )
| ~ v1_finset_1(U_5223) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK646]),skolemize(U_5222,sK646(U_5223))],[f_1985_2]) ).
fof(f_1985_4,plain,
( ! [U_5223] :
( r2_wellord2(U_5223,sK646(U_5223))
| ~ sP940(U_5223) )
& ! [U_5223] :
( m2_subset_1(sK646(U_5223),k1_numbers,k5_numbers)
| ~ sP940(U_5223) )
& ! [U_5223] :
( sP940(U_5223)
| ~ v1_finset_1(U_5223) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP940])],[f_1985_3]) ).
cnf(f_1985_5,plain,
( sP940(U_5223)
| ~ v1_finset_1(U_5223) ),
inference(clausify,[status(thm)],[f_1985_4]) ).
cnf(f_1985_6,plain,
( m2_subset_1(sK646(U_5223),k1_numbers,k5_numbers)
| ~ sP940(U_5223) ),
inference(clausify,[status(thm)],[f_1985_4]) ).
cnf(f_1985_7,plain,
( r2_wellord2(U_5223,sK646(U_5223))
| ~ sP940(U_5223) ),
inference(clausify,[status(thm)],[f_1985_4]) ).
fof(f_1986_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t75_card_1]) ).
fof(f_1986_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1986_1]) ).
cnf(f_1986_3,plain,
$true,
inference(clausify,[status(thm)],[f_1986_2]) ).
fof(f_1987_1,plain,
! [A] :
( k2_card_1(k1_card_1(A)) = k1_card_1(k1_nat_1(A,np__1))
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t76_card_1]) ).
fof(f_1987_2,plain,
! [U_5224] :
( k2_card_1(k1_card_1(U_5224)) = k1_card_1(k1_nat_1(U_5224,np__1))
| ~ m2_subset_1(U_5224,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_1987_1]) ).
fof(f_1987_3,plain,
! [U_5224] :
( k2_card_1(k1_card_1(U_5224)) = k1_card_1(k1_nat_1(U_5224,np__1))
| ~ m2_subset_1(U_5224,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_1987_2]) ).
cnf(f_1987_4,plain,
( k2_card_1(k1_card_1(U_5224)) = k1_card_1(k1_nat_1(U_5224,np__1))
| ~ m2_subset_1(U_5224,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_1987_3]) ).
fof(f_1988_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d9_card_1]) ).
fof(f_1988_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1988_1]) ).
cnf(f_1988_3,plain,
$true,
inference(clausify,[status(thm)],[f_1988_2]) ).
fof(f_1989_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d10_card_1]) ).
fof(f_1989_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1989_1]) ).
cnf(f_1989_3,plain,
$true,
inference(clausify,[status(thm)],[f_1989_2]) ).
fof(f_1990_1,plain,
! [A] :
( ! [B] :
( ( ( B = k4_card_1(A)
| k1_card_1(B) != k1_card_1(A) )
& ( k1_card_1(B) = k1_card_1(A)
| B != k4_card_1(A) ) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[d11_card_1]) ).
fof(f_1990_2,plain,
! [U_5226] :
( ! [U_5225] :
( ( ( U_5225 = k4_card_1(U_5226)
| k1_card_1(U_5225) != k1_card_1(U_5226) )
& ( k1_card_1(U_5225) = k1_card_1(U_5226)
| U_5225 != k4_card_1(U_5226) ) )
| ~ m2_subset_1(U_5225,k1_numbers,k5_numbers) )
| ~ v1_finset_1(U_5226) ),
inference(variable_rename,[status(thm)],[f_1990_1]) ).
fof(f_1990_3,plain,
( ! [U_5225,U_5226] :
( U_5225 = k4_card_1(U_5226)
| k1_card_1(U_5225) != k1_card_1(U_5226)
| ~ sP941(U_5225,U_5226) )
& ! [U_5225,U_5226] :
( k1_card_1(U_5225) = k1_card_1(U_5226)
| U_5225 != k4_card_1(U_5226)
| ~ sP941(U_5225,U_5226) )
& ! [U_5225,U_5226] :
( sP941(U_5225,U_5226)
| ~ m2_subset_1(U_5225,k1_numbers,k5_numbers)
| ~ v1_finset_1(U_5226) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP941])],[f_1990_2]) ).
cnf(f_1990_4,plain,
( sP941(U_5225,U_5226)
| ~ m2_subset_1(U_5225,k1_numbers,k5_numbers)
| ~ v1_finset_1(U_5226) ),
inference(clausify,[status(thm)],[f_1990_3]) ).
cnf(f_1990_5,plain,
( k1_card_1(U_5225) = k1_card_1(U_5226)
| U_5225 != k4_card_1(U_5226)
| ~ sP941(U_5225,U_5226) ),
inference(clausify,[status(thm)],[f_1990_3]) ).
cnf(f_1990_6,plain,
( U_5225 = k4_card_1(U_5226)
| k1_card_1(U_5225) != k1_card_1(U_5226)
| ~ sP941(U_5225,U_5226) ),
inference(clausify,[status(thm)],[f_1990_3]) ).
fof(f_1991_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t77_card_1]) ).
fof(f_1991_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_1991_1]) ).
cnf(f_1991_3,plain,
$true,
inference(clausify,[status(thm)],[f_1991_2]) ).
fof(f_1992_1,plain,
k4_card_1(k1_xboole_0) = np__0,
inference(fof_nnf,[status(thm)],[t78_card_1]) ).
fof(f_1992_2,plain,
k4_card_1(k1_xboole_0) = np__0,
inference(definitional_conversion,[status(esa)],[f_1992_1]) ).
cnf(f_1992_3,plain,
k4_card_1(k1_xboole_0) = np__0,
inference(clausify,[status(thm)],[f_1992_2]) ).
fof(f_1993_1,plain,
! [A] : k4_card_1(k1_tarski(A)) = np__1,
inference(fof_nnf,[status(thm)],[t79_card_1]) ).
fof(f_1993_2,plain,
! [U_5227] : k4_card_1(k1_tarski(U_5227)) = np__1,
inference(variable_rename,[status(thm)],[f_1993_1]) ).
fof(f_1993_3,plain,
! [U_5227] : k4_card_1(k1_tarski(U_5227)) = np__1,
inference(definitional_conversion,[status(esa)],[f_1993_2]) ).
cnf(f_1993_4,plain,
k4_card_1(k1_tarski(U_5227)) = np__1,
inference(clausify,[status(thm)],[f_1993_3]) ).
fof(f_1994_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(k4_card_1(A),k4_card_1(B))
| ~ r1_tarski(A,B)
| ~ v1_finset_1(B) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t80_card_1]) ).
fof(f_1994_2,plain,
! [U_5229] :
( ! [U_5228] :
( r1_xreal_0(k4_card_1(U_5229),k4_card_1(U_5228))
| ~ r1_tarski(U_5229,U_5228)
| ~ v1_finset_1(U_5228) )
| ~ v1_finset_1(U_5229) ),
inference(variable_rename,[status(thm)],[f_1994_1]) ).
fof(f_1994_3,plain,
! [U_5228,U_5229] :
( r1_xreal_0(k4_card_1(U_5229),k4_card_1(U_5228))
| ~ r1_tarski(U_5229,U_5228)
| ~ v1_finset_1(U_5228)
| ~ v1_finset_1(U_5229) ),
inference(definitional_conversion,[status(esa)],[f_1994_2]) ).
cnf(f_1994_4,plain,
( r1_xreal_0(k4_card_1(U_5229),k4_card_1(U_5228))
| ~ r1_tarski(U_5229,U_5228)
| ~ v1_finset_1(U_5228)
| ~ v1_finset_1(U_5229) ),
inference(clausify,[status(thm)],[f_1994_3]) ).
fof(f_1995_1,plain,
! [A] :
( ! [B] :
( k4_card_1(A) = k4_card_1(B)
| ~ r2_wellord2(A,B)
| ~ v1_finset_1(B) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t81_card_1]) ).
fof(f_1995_2,plain,
! [U_5231] :
( ! [U_5230] :
( k4_card_1(U_5231) = k4_card_1(U_5230)
| ~ r2_wellord2(U_5231,U_5230)
| ~ v1_finset_1(U_5230) )
| ~ v1_finset_1(U_5231) ),
inference(variable_rename,[status(thm)],[f_1995_1]) ).
fof(f_1995_3,plain,
! [U_5231,U_5230] :
( k4_card_1(U_5231) = k4_card_1(U_5230)
| ~ r2_wellord2(U_5231,U_5230)
| ~ v1_finset_1(U_5230)
| ~ v1_finset_1(U_5231) ),
inference(definitional_conversion,[status(esa)],[f_1995_2]) ).
cnf(f_1995_4,plain,
( k4_card_1(U_5231) = k4_card_1(U_5230)
| ~ r2_wellord2(U_5231,U_5230)
| ~ v1_finset_1(U_5230)
| ~ v1_finset_1(U_5231) ),
inference(clausify,[status(thm)],[f_1995_3]) ).
fof(f_1996_1,plain,
! [A] :
( v1_finset_1(k2_card_1(A))
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t82_card_1]) ).
fof(f_1996_2,plain,
! [U_5232] :
( v1_finset_1(k2_card_1(U_5232))
| ~ v1_finset_1(U_5232) ),
inference(variable_rename,[status(thm)],[f_1996_1]) ).
fof(f_1996_3,plain,
! [U_5232] :
( v1_finset_1(k2_card_1(U_5232))
| ~ v1_finset_1(U_5232) ),
inference(definitional_conversion,[status(esa)],[f_1996_2]) ).
cnf(f_1996_4,plain,
( v1_finset_1(k2_card_1(U_5232))
| ~ v1_finset_1(U_5232) ),
inference(clausify,[status(thm)],[f_1996_3]) ).
fof(f_1997_1,plain,
k3_card_1(np__0) = k5_ordinal2,
inference(fof_nnf,[status(thm)],[t83_card_1]) ).
fof(f_1997_2,plain,
k3_card_1(np__0) = k5_ordinal2,
inference(definitional_conversion,[status(esa)],[f_1997_1]) ).
cnf(f_1997_3,plain,
k3_card_1(np__0) = k5_ordinal2,
inference(clausify,[status(thm)],[f_1997_2]) ).
fof(f_1998_1,plain,
k1_card_1(k5_ordinal2) = k5_ordinal2,
inference(fof_nnf,[status(thm)],[t84_card_1]) ).
fof(f_1998_2,plain,
k1_card_1(k5_ordinal2) = k5_ordinal2,
inference(definitional_conversion,[status(esa)],[f_1998_1]) ).
cnf(f_1998_3,plain,
k1_card_1(k5_ordinal2) = k5_ordinal2,
inference(clausify,[status(thm)],[f_1998_2]) ).
fof(f_1999_1,plain,
v2_card_1(k1_card_1(k5_ordinal2)),
inference(fof_nnf,[status(thm)],[t85_card_1]) ).
fof(f_1999_2,plain,
v2_card_1(k1_card_1(k5_ordinal2)),
inference(definitional_conversion,[status(esa)],[f_1999_1]) ).
cnf(f_1999_3,plain,
v2_card_1(k1_card_1(k5_ordinal2)),
inference(clausify,[status(thm)],[f_1999_2]) ).
fof(f_2000_1,plain,
! [A] :
( ? [B] :
( A = k1_card_1(B)
& m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_card_1(A)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t86_card_1]) ).
fof(f_2000_2,plain,
! [U_5234] :
( ? [U_5233] :
( U_5234 = k1_card_1(U_5233)
& m2_subset_1(U_5233,k1_numbers,k5_numbers) )
| ~ v1_card_1(U_5234)
| ~ v1_finset_1(U_5234) ),
inference(variable_rename,[status(thm)],[f_2000_1]) ).
fof(f_2000_3,plain,
! [U_5234] :
( ( U_5234 = k1_card_1(sK647(U_5234))
& m2_subset_1(sK647(U_5234),k1_numbers,k5_numbers) )
| ~ v1_card_1(U_5234)
| ~ v1_finset_1(U_5234) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK647]),skolemize(U_5233,sK647(U_5234))],[f_2000_2]) ).
fof(f_2000_4,plain,
( ! [U_5234] :
( U_5234 = k1_card_1(sK647(U_5234))
| ~ sP942(U_5234) )
& ! [U_5234] :
( m2_subset_1(sK647(U_5234),k1_numbers,k5_numbers)
| ~ sP942(U_5234) )
& ! [U_5234] :
( sP942(U_5234)
| ~ v1_card_1(U_5234)
| ~ v1_finset_1(U_5234) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP942])],[f_2000_3]) ).
cnf(f_2000_5,plain,
( sP942(U_5234)
| ~ v1_card_1(U_5234)
| ~ v1_finset_1(U_5234) ),
inference(clausify,[status(thm)],[f_2000_4]) ).
cnf(f_2000_6,plain,
( m2_subset_1(sK647(U_5234),k1_numbers,k5_numbers)
| ~ sP942(U_5234) ),
inference(clausify,[status(thm)],[f_2000_4]) ).
cnf(f_2000_7,plain,
( U_5234 = k1_card_1(sK647(U_5234))
| ~ sP942(U_5234) ),
inference(clausify,[status(thm)],[f_2000_4]) ).
fof(f_2001_1,plain,
( ! [A] :
( p1_s1_card_1(A)
| ~ v1_card_1(A) )
| ? [A] :
( ~ p1_s1_card_1(A)
& A != k1_xboole_0
& ! [B] :
( p1_s1_card_1(B)
| ~ r2_hidden(B,A)
| ~ v1_card_1(B) )
& v2_card_1(A)
& v1_card_1(A) )
| ? [A] :
( ~ p1_s1_card_1(k2_card_1(A))
& p1_s1_card_1(A)
& v1_card_1(A) )
| ~ p1_s1_card_1(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[s1_card_1]) ).
fof(f_2001_2,plain,
( ! [U_5238] :
( p1_s1_card_1(U_5238)
| ~ v1_card_1(U_5238) )
| ? [U_5237] :
( ~ p1_s1_card_1(U_5237)
& U_5237 != k1_xboole_0
& ! [U_5236] :
( p1_s1_card_1(U_5236)
| ~ r2_hidden(U_5236,U_5237)
| ~ v1_card_1(U_5236) )
& v2_card_1(U_5237)
& v1_card_1(U_5237) )
| ? [U_5235] :
( ~ p1_s1_card_1(k2_card_1(U_5235))
& p1_s1_card_1(U_5235)
& v1_card_1(U_5235) )
| ~ p1_s1_card_1(k1_xboole_0) ),
inference(variable_rename,[status(thm)],[f_2001_1]) ).
fof(f_2001_3,plain,
( ! [U_5238] :
( p1_s1_card_1(U_5238)
| ~ v1_card_1(U_5238) )
| ? [U_5237] :
( ~ p1_s1_card_1(U_5237)
& U_5237 != k1_xboole_0
& ! [U_5236] :
( p1_s1_card_1(U_5236)
| ~ r2_hidden(U_5236,U_5237)
| ~ v1_card_1(U_5236) )
& v2_card_1(U_5237)
& v1_card_1(U_5237) )
| ( ~ p1_s1_card_1(k2_card_1(sK648))
& p1_s1_card_1(sK648)
& v1_card_1(sK648) )
| ~ p1_s1_card_1(k1_xboole_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK648]),skolemize(U_5235,sK648)],[f_2001_2]) ).
fof(f_2001_4,plain,
( ! [U_5238] :
( p1_s1_card_1(U_5238)
| ~ v1_card_1(U_5238) )
| ( ~ p1_s1_card_1(sK649)
& sK649 != k1_xboole_0
& ! [U_5236] :
( p1_s1_card_1(U_5236)
| ~ r2_hidden(U_5236,sK649)
| ~ v1_card_1(U_5236) )
& v2_card_1(sK649)
& v1_card_1(sK649) )
| ( ~ p1_s1_card_1(k2_card_1(sK648))
& p1_s1_card_1(sK648)
& v1_card_1(sK648) )
| ~ p1_s1_card_1(k1_xboole_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK649]),skolemize(U_5237,sK649)],[f_2001_3]) ).
fof(f_2001_5,plain,
( ! [U_5236] :
( ~ p1_s1_card_1(sK649)
| ~ sP944(U_5236) )
& ! [U_5236] :
( sK649 != k1_xboole_0
| ~ sP944(U_5236) )
& ! [U_5236] :
( p1_s1_card_1(U_5236)
| ~ r2_hidden(U_5236,sK649)
| ~ v1_card_1(U_5236)
| ~ sP944(U_5236) )
& ! [U_5236] :
( v2_card_1(sK649)
| ~ sP944(U_5236) )
& ! [U_5236] :
( v1_card_1(sK649)
| ~ sP944(U_5236) )
& ( ~ p1_s1_card_1(k2_card_1(sK648))
| ~ sP943 )
& ( p1_s1_card_1(sK648)
| ~ sP943 )
& ( v1_card_1(sK648)
| ~ sP943 )
& ! [U_5236,U_5238] :
( p1_s1_card_1(U_5238)
| ~ v1_card_1(U_5238)
| sP944(U_5236)
| sP943
| ~ p1_s1_card_1(k1_xboole_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP943,sP944])],[f_2001_4]) ).
cnf(f_2001_6,plain,
( p1_s1_card_1(U_5238)
| ~ v1_card_1(U_5238)
| sP944(U_5236)
| sP943
| ~ p1_s1_card_1(k1_xboole_0) ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_7,plain,
( v1_card_1(sK648)
| ~ sP943 ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_8,plain,
( p1_s1_card_1(sK648)
| ~ sP943 ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_9,plain,
( ~ p1_s1_card_1(k2_card_1(sK648))
| ~ sP943 ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_10,plain,
( v1_card_1(sK649)
| ~ sP944(U_5236) ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_11,plain,
( v2_card_1(sK649)
| ~ sP944(U_5236) ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_12,plain,
( p1_s1_card_1(U_5236)
| ~ r2_hidden(U_5236,sK649)
| ~ v1_card_1(U_5236)
| ~ sP944(U_5236) ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_13,plain,
( sK649 != k1_xboole_0
| ~ sP944(U_5236) ),
inference(clausify,[status(thm)],[f_2001_5]) ).
cnf(f_2001_14,plain,
( ~ p1_s1_card_1(sK649)
| ~ sP944(U_5236) ),
inference(clausify,[status(thm)],[f_2001_5]) ).
fof(f_2002_1,plain,
( ! [A] :
( p1_s2_card_1(A)
| ~ v1_card_1(A) )
| ? [A] :
( ~ p1_s2_card_1(A)
& ! [B] :
( p1_s2_card_1(B)
| ~ r2_hidden(B,A)
| ~ v1_card_1(B) )
& v1_card_1(A) ) ),
inference(fof_nnf,[status(thm)],[s2_card_1]) ).
fof(f_2002_2,plain,
( ! [U_5241] :
( p1_s2_card_1(U_5241)
| ~ v1_card_1(U_5241) )
| ? [U_5240] :
( ~ p1_s2_card_1(U_5240)
& ! [U_5239] :
( p1_s2_card_1(U_5239)
| ~ r2_hidden(U_5239,U_5240)
| ~ v1_card_1(U_5239) )
& v1_card_1(U_5240) ) ),
inference(variable_rename,[status(thm)],[f_2002_1]) ).
fof(f_2002_3,plain,
( ! [U_5241] :
( p1_s2_card_1(U_5241)
| ~ v1_card_1(U_5241) )
| ( ~ p1_s2_card_1(sK650)
& ! [U_5239] :
( p1_s2_card_1(U_5239)
| ~ r2_hidden(U_5239,sK650)
| ~ v1_card_1(U_5239) )
& v1_card_1(sK650) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK650]),skolemize(U_5240,sK650)],[f_2002_2]) ).
fof(f_2002_4,plain,
( ! [U_5239] :
( ~ p1_s2_card_1(sK650)
| ~ sP945(U_5239) )
& ! [U_5239] :
( p1_s2_card_1(U_5239)
| ~ r2_hidden(U_5239,sK650)
| ~ v1_card_1(U_5239)
| ~ sP945(U_5239) )
& ! [U_5239] :
( v1_card_1(sK650)
| ~ sP945(U_5239) )
& ! [U_5239,U_5241] :
( p1_s2_card_1(U_5241)
| ~ v1_card_1(U_5241)
| sP945(U_5239) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP945])],[f_2002_3]) ).
cnf(f_2002_5,plain,
( p1_s2_card_1(U_5241)
| ~ v1_card_1(U_5241)
| sP945(U_5239) ),
inference(clausify,[status(thm)],[f_2002_4]) ).
cnf(f_2002_6,plain,
( v1_card_1(sK650)
| ~ sP945(U_5239) ),
inference(clausify,[status(thm)],[f_2002_4]) ).
cnf(f_2002_7,plain,
( p1_s2_card_1(U_5239)
| ~ r2_hidden(U_5239,sK650)
| ~ v1_card_1(U_5239)
| ~ sP945(U_5239) ),
inference(clausify,[status(thm)],[f_2002_4]) ).
cnf(f_2002_8,plain,
( ~ p1_s2_card_1(sK650)
| ~ sP945(U_5239) ),
inference(clausify,[status(thm)],[f_2002_4]) ).
fof(f_2003_1,plain,
! [A] : v1_card_1(k1_card_1(A)),
inference(fof_nnf,[status(thm)],[dt_k1_card_1]) ).
fof(f_2003_2,plain,
! [U_5242] : v1_card_1(k1_card_1(U_5242)),
inference(variable_rename,[status(thm)],[f_2003_1]) ).
fof(f_2003_3,plain,
! [U_5242] : v1_card_1(k1_card_1(U_5242)),
inference(definitional_conversion,[status(esa)],[f_2003_2]) ).
cnf(f_2003_4,plain,
v1_card_1(k1_card_1(U_5242)),
inference(clausify,[status(thm)],[f_2003_3]) ).
fof(f_2004_1,plain,
! [A] : v1_card_1(k2_card_1(A)),
inference(fof_nnf,[status(thm)],[dt_k2_card_1]) ).
fof(f_2004_2,plain,
! [U_5243] : v1_card_1(k2_card_1(U_5243)),
inference(variable_rename,[status(thm)],[f_2004_1]) ).
fof(f_2004_3,plain,
! [U_5243] : v1_card_1(k2_card_1(U_5243)),
inference(definitional_conversion,[status(esa)],[f_2004_2]) ).
cnf(f_2004_4,plain,
v1_card_1(k2_card_1(U_5243)),
inference(clausify,[status(thm)],[f_2004_3]) ).
fof(f_2005_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_card_1]) ).
fof(f_2005_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2005_1]) ).
cnf(f_2005_3,plain,
$true,
inference(clausify,[status(thm)],[f_2005_2]) ).
fof(f_2006_1,plain,
! [A] :
( m2_subset_1(k4_card_1(A),k1_numbers,k5_numbers)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_card_1]) ).
fof(f_2006_2,plain,
! [U_5244] :
( m2_subset_1(k4_card_1(U_5244),k1_numbers,k5_numbers)
| ~ v1_finset_1(U_5244) ),
inference(variable_rename,[status(thm)],[f_2006_1]) ).
fof(f_2006_3,plain,
! [U_5244] :
( m2_subset_1(k4_card_1(U_5244),k1_numbers,k5_numbers)
| ~ v1_finset_1(U_5244) ),
inference(definitional_conversion,[status(esa)],[f_2006_2]) ).
cnf(f_2006_4,plain,
( m2_subset_1(k4_card_1(U_5244),k1_numbers,k5_numbers)
| ~ v1_finset_1(U_5244) ),
inference(clausify,[status(thm)],[f_2006_3]) ).
fof(f_2007_1,plain,
! [A] :
( k4_card_1(A) = k1_card_1(A)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_card_1]) ).
fof(f_2007_2,plain,
! [U_5245] :
( k4_card_1(U_5245) = k1_card_1(U_5245)
| ~ v1_finset_1(U_5245) ),
inference(variable_rename,[status(thm)],[f_2007_1]) ).
fof(f_2007_3,plain,
! [U_5245] :
( k4_card_1(U_5245) = k1_card_1(U_5245)
| ~ v1_finset_1(U_5245) ),
inference(definitional_conversion,[status(esa)],[f_2007_2]) ).
cnf(f_2007_4,plain,
( k4_card_1(U_5245) = k1_card_1(U_5245)
| ~ v1_finset_1(U_5245) ),
inference(clausify,[status(thm)],[f_2007_3]) ).
fof(f_2008_1,plain,
? [A] :
( v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_finseq_1]) ).
fof(f_2008_2,plain,
? [U_5246] :
( v1_finseq_1(U_5246)
& v1_funct_1(U_5246)
& v1_relat_1(U_5246) ),
inference(variable_rename,[status(thm)],[f_2008_1]) ).
fof(f_2008_3,plain,
( v1_finseq_1(sK651)
& v1_funct_1(sK651)
& v1_relat_1(sK651) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK651]),skolemize(U_5246,sK651)],[f_2008_2]) ).
fof(f_2008_4,plain,
( v1_finseq_1(sK651)
& v1_funct_1(sK651)
& v1_relat_1(sK651) ),
inference(definitional_conversion,[status(esa)],[f_2008_3]) ).
cnf(f_2008_5,plain,
v1_relat_1(sK651),
inference(clausify,[status(thm)],[f_2008_4]) ).
cnf(f_2008_6,plain,
v1_funct_1(sK651),
inference(clausify,[status(thm)],[f_2008_4]) ).
cnf(f_2008_7,plain,
v1_finseq_1(sK651),
inference(clausify,[status(thm)],[f_2008_4]) ).
fof(f_2009_1,plain,
! [A] :
( v1_finset_1(k1_finseq_1(A))
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[fc1_finseq_1]) ).
fof(f_2009_2,plain,
! [U_5247] :
( v1_finset_1(k1_finseq_1(U_5247))
| ~ v4_ordinal2(U_5247) ),
inference(variable_rename,[status(thm)],[f_2009_1]) ).
fof(f_2009_3,plain,
! [U_5247] :
( v1_finset_1(k1_finseq_1(U_5247))
| ~ v4_ordinal2(U_5247) ),
inference(definitional_conversion,[status(esa)],[f_2009_2]) ).
cnf(f_2009_4,plain,
( v1_finset_1(k1_finseq_1(U_5247))
| ~ v4_ordinal2(U_5247) ),
inference(clausify,[status(thm)],[f_2009_3]) ).
fof(f_2010_1,plain,
! [A] :
( ( v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_finseq_1]) ).
fof(f_2010_2,plain,
! [U_5248] :
( ( v1_finset_1(U_5248)
& v1_funct_1(U_5248)
& v1_relat_1(U_5248) )
| ~ v1_finseq_1(U_5248)
| ~ v1_funct_1(U_5248)
| ~ v1_relat_1(U_5248) ),
inference(variable_rename,[status(thm)],[f_2010_1]) ).
fof(f_2010_3,plain,
( ! [U_5248] :
( v1_finset_1(U_5248)
| ~ sP946(U_5248) )
& ! [U_5248] :
( v1_funct_1(U_5248)
| ~ sP946(U_5248) )
& ! [U_5248] :
( v1_relat_1(U_5248)
| ~ sP946(U_5248) )
& ! [U_5248] :
( sP946(U_5248)
| ~ v1_finseq_1(U_5248)
| ~ v1_funct_1(U_5248)
| ~ v1_relat_1(U_5248) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP946])],[f_2010_2]) ).
cnf(f_2010_4,plain,
( sP946(U_5248)
| ~ v1_finseq_1(U_5248)
| ~ v1_funct_1(U_5248)
| ~ v1_relat_1(U_5248) ),
inference(clausify,[status(thm)],[f_2010_3]) ).
cnf(f_2010_5,plain,
( v1_relat_1(U_5248)
| ~ sP946(U_5248) ),
inference(clausify,[status(thm)],[f_2010_3]) ).
cnf(f_2010_6,plain,
( v1_funct_1(U_5248)
| ~ sP946(U_5248) ),
inference(clausify,[status(thm)],[f_2010_3]) ).
cnf(f_2010_7,plain,
( v1_finset_1(U_5248)
| ~ sP946(U_5248) ),
inference(clausify,[status(thm)],[f_2010_3]) ).
fof(f_2011_1,plain,
( v1_finseq_1(k1_xboole_0)
& v1_finset_1(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc2_finseq_1]) ).
fof(f_2011_2,plain,
( v1_finseq_1(k1_xboole_0)
& v1_finset_1(k1_xboole_0)
& v2_funct_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(definitional_conversion,[status(esa)],[f_2011_1]) ).
cnf(f_2011_3,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
cnf(f_2011_4,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
cnf(f_2011_5,plain,
v3_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
cnf(f_2011_6,plain,
v1_funct_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
cnf(f_2011_7,plain,
v2_funct_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
cnf(f_2011_8,plain,
v1_finset_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
cnf(f_2011_9,plain,
v1_finseq_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2011_2]) ).
fof(f_2012_1,plain,
! [A] :
? [B] :
( v1_finseq_1(B)
& v1_finset_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,k5_numbers,A) ),
inference(fof_nnf,[status(thm)],[rc2_finseq_1]) ).
fof(f_2012_2,plain,
! [U_5250] :
? [U_5249] :
( v1_finseq_1(U_5249)
& v1_finset_1(U_5249)
& v1_funct_1(U_5249)
& v1_relat_1(U_5249)
& m1_relset_1(U_5249,k5_numbers,U_5250) ),
inference(variable_rename,[status(thm)],[f_2012_1]) ).
fof(f_2012_3,plain,
! [U_5250] :
( v1_finseq_1(sK652(U_5250))
& v1_finset_1(sK652(U_5250))
& v1_funct_1(sK652(U_5250))
& v1_relat_1(sK652(U_5250))
& m1_relset_1(sK652(U_5250),k5_numbers,U_5250) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK652]),skolemize(U_5249,sK652(U_5250))],[f_2012_2]) ).
fof(f_2012_4,plain,
( ! [U_5250] : v1_finseq_1(sK652(U_5250))
& ! [U_5250] : v1_finset_1(sK652(U_5250))
& ! [U_5250] : v1_funct_1(sK652(U_5250))
& ! [U_5250] : v1_relat_1(sK652(U_5250))
& ! [U_5250] : m1_relset_1(sK652(U_5250),k5_numbers,U_5250) ),
inference(definitional_conversion,[status(esa)],[f_2012_3]) ).
cnf(f_2012_5,plain,
m1_relset_1(sK652(U_5250),k5_numbers,U_5250),
inference(clausify,[status(thm)],[f_2012_4]) ).
cnf(f_2012_6,plain,
v1_relat_1(sK652(U_5250)),
inference(clausify,[status(thm)],[f_2012_4]) ).
cnf(f_2012_7,plain,
v1_funct_1(sK652(U_5250)),
inference(clausify,[status(thm)],[f_2012_4]) ).
cnf(f_2012_8,plain,
v1_finset_1(sK652(U_5250)),
inference(clausify,[status(thm)],[f_2012_4]) ).
cnf(f_2012_9,plain,
v1_finseq_1(sK652(U_5250)),
inference(clausify,[status(thm)],[f_2012_4]) ).
fof(f_2013_1,plain,
? [A] :
( v1_finseq_1(A)
& v1_finset_1(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_finseq_1]) ).
fof(f_2013_2,plain,
? [U_5251] :
( v1_finseq_1(U_5251)
& v1_finset_1(U_5251)
& v2_funct_1(U_5251)
& v1_funct_1(U_5251)
& v1_relat_1(U_5251)
& v1_xboole_0(U_5251) ),
inference(variable_rename,[status(thm)],[f_2013_1]) ).
fof(f_2013_3,plain,
( v1_finseq_1(sK653)
& v1_finset_1(sK653)
& v2_funct_1(sK653)
& v1_funct_1(sK653)
& v1_relat_1(sK653)
& v1_xboole_0(sK653) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK653]),skolemize(U_5251,sK653)],[f_2013_2]) ).
fof(f_2013_4,plain,
( v1_finseq_1(sK653)
& v1_finset_1(sK653)
& v2_funct_1(sK653)
& v1_funct_1(sK653)
& v1_relat_1(sK653)
& v1_xboole_0(sK653) ),
inference(definitional_conversion,[status(esa)],[f_2013_3]) ).
cnf(f_2013_5,plain,
v1_xboole_0(sK653),
inference(clausify,[status(thm)],[f_2013_4]) ).
cnf(f_2013_6,plain,
v1_relat_1(sK653),
inference(clausify,[status(thm)],[f_2013_4]) ).
cnf(f_2013_7,plain,
v1_funct_1(sK653),
inference(clausify,[status(thm)],[f_2013_4]) ).
cnf(f_2013_8,plain,
v2_funct_1(sK653),
inference(clausify,[status(thm)],[f_2013_4]) ).
cnf(f_2013_9,plain,
v1_finset_1(sK653),
inference(clausify,[status(thm)],[f_2013_4]) ).
cnf(f_2013_10,plain,
v1_finseq_1(sK653),
inference(clausify,[status(thm)],[f_2013_4]) ).
fof(f_2014_1,plain,
! [A] :
? [B] :
( v1_finseq_1(B)
& v1_finset_1(B)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& v1_xboole_0(B)
& m1_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[rc4_finseq_1]) ).
fof(f_2014_2,plain,
! [U_5253] :
? [U_5252] :
( v1_finseq_1(U_5252)
& v1_finset_1(U_5252)
& v2_funct_1(U_5252)
& v1_funct_1(U_5252)
& v1_relat_1(U_5252)
& v1_xboole_0(U_5252)
& m1_finseq_1(U_5252,U_5253) ),
inference(variable_rename,[status(thm)],[f_2014_1]) ).
fof(f_2014_3,plain,
! [U_5253] :
( v1_finseq_1(sK654(U_5253))
& v1_finset_1(sK654(U_5253))
& v2_funct_1(sK654(U_5253))
& v1_funct_1(sK654(U_5253))
& v1_relat_1(sK654(U_5253))
& v1_xboole_0(sK654(U_5253))
& m1_finseq_1(sK654(U_5253),U_5253) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK654]),skolemize(U_5252,sK654(U_5253))],[f_2014_2]) ).
fof(f_2014_4,plain,
( ! [U_5253] : v1_finseq_1(sK654(U_5253))
& ! [U_5253] : v1_finset_1(sK654(U_5253))
& ! [U_5253] : v2_funct_1(sK654(U_5253))
& ! [U_5253] : v1_funct_1(sK654(U_5253))
& ! [U_5253] : v1_relat_1(sK654(U_5253))
& ! [U_5253] : v1_xboole_0(sK654(U_5253))
& ! [U_5253] : m1_finseq_1(sK654(U_5253),U_5253) ),
inference(definitional_conversion,[status(esa)],[f_2014_3]) ).
cnf(f_2014_5,plain,
m1_finseq_1(sK654(U_5253),U_5253),
inference(clausify,[status(thm)],[f_2014_4]) ).
cnf(f_2014_6,plain,
v1_xboole_0(sK654(U_5253)),
inference(clausify,[status(thm)],[f_2014_4]) ).
cnf(f_2014_7,plain,
v1_relat_1(sK654(U_5253)),
inference(clausify,[status(thm)],[f_2014_4]) ).
cnf(f_2014_8,plain,
v1_funct_1(sK654(U_5253)),
inference(clausify,[status(thm)],[f_2014_4]) ).
cnf(f_2014_9,plain,
v2_funct_1(sK654(U_5253)),
inference(clausify,[status(thm)],[f_2014_4]) ).
cnf(f_2014_10,plain,
v1_finset_1(sK654(U_5253)),
inference(clausify,[status(thm)],[f_2014_4]) ).
cnf(f_2014_11,plain,
v1_finseq_1(sK654(U_5253)),
inference(clausify,[status(thm)],[f_2014_4]) ).
fof(f_2015_1,plain,
! [A] :
( v1_funct_1(k5_finseq_1(A))
& v1_relat_1(k5_finseq_1(A)) ),
inference(fof_nnf,[status(thm)],[fc3_finseq_1]) ).
fof(f_2015_2,plain,
! [U_5254] :
( v1_funct_1(k5_finseq_1(U_5254))
& v1_relat_1(k5_finseq_1(U_5254)) ),
inference(variable_rename,[status(thm)],[f_2015_1]) ).
fof(f_2015_3,plain,
( ! [U_5256] : v1_funct_1(k5_finseq_1(U_5256))
& ! [U_5255] : v1_relat_1(k5_finseq_1(U_5255)) ),
inference(miniscope,[status(thm)],[f_2015_2]) ).
fof(f_2015_4,plain,
( ! [U_5256] : v1_funct_1(k5_finseq_1(U_5256))
& ! [U_5255] : v1_relat_1(k5_finseq_1(U_5255)) ),
inference(definitional_conversion,[status(esa)],[f_2015_3]) ).
cnf(f_2015_5,plain,
v1_relat_1(k5_finseq_1(U_5255)),
inference(clausify,[status(thm)],[f_2015_4]) ).
cnf(f_2015_6,plain,
v1_funct_1(k5_finseq_1(U_5256)),
inference(clausify,[status(thm)],[f_2015_4]) ).
fof(f_2016_1,plain,
! [A] :
( v1_finseq_1(k5_finseq_1(A))
& v1_finset_1(k5_finseq_1(A))
& v1_funct_1(k5_finseq_1(A))
& v1_relat_1(k5_finseq_1(A)) ),
inference(fof_nnf,[status(thm)],[fc4_finseq_1]) ).
fof(f_2016_2,plain,
! [U_5257] :
( v1_finseq_1(k5_finseq_1(U_5257))
& v1_finset_1(k5_finseq_1(U_5257))
& v1_funct_1(k5_finseq_1(U_5257))
& v1_relat_1(k5_finseq_1(U_5257)) ),
inference(variable_rename,[status(thm)],[f_2016_1]) ).
fof(f_2016_3,plain,
( ! [U_5261] : v1_finseq_1(k5_finseq_1(U_5261))
& ! [U_5260] : v1_finset_1(k5_finseq_1(U_5260))
& ! [U_5259] : v1_funct_1(k5_finseq_1(U_5259))
& ! [U_5258] : v1_relat_1(k5_finseq_1(U_5258)) ),
inference(miniscope,[status(thm)],[f_2016_2]) ).
fof(f_2016_4,plain,
( ! [U_5261] : v1_finseq_1(k5_finseq_1(U_5261))
& ! [U_5260] : v1_finset_1(k5_finseq_1(U_5260))
& ! [U_5259] : v1_funct_1(k5_finseq_1(U_5259))
& ! [U_5258] : v1_relat_1(k5_finseq_1(U_5258)) ),
inference(definitional_conversion,[status(esa)],[f_2016_3]) ).
cnf(f_2016_5,plain,
v1_relat_1(k5_finseq_1(U_5258)),
inference(clausify,[status(thm)],[f_2016_4]) ).
cnf(f_2016_6,plain,
v1_funct_1(k5_finseq_1(U_5259)),
inference(clausify,[status(thm)],[f_2016_4]) ).
cnf(f_2016_7,plain,
v1_finset_1(k5_finseq_1(U_5260)),
inference(clausify,[status(thm)],[f_2016_4]) ).
cnf(f_2016_8,plain,
v1_finseq_1(k5_finseq_1(U_5261)),
inference(clausify,[status(thm)],[f_2016_4]) ).
fof(f_2017_1,plain,
! [A,B] :
( v1_funct_1(k10_finseq_1(A,B))
& v1_relat_1(k10_finseq_1(A,B)) ),
inference(fof_nnf,[status(thm)],[fc5_finseq_1]) ).
fof(f_2017_2,plain,
! [U_5263,U_5262] :
( v1_funct_1(k10_finseq_1(U_5263,U_5262))
& v1_relat_1(k10_finseq_1(U_5263,U_5262)) ),
inference(variable_rename,[status(thm)],[f_2017_1]) ).
fof(f_2017_3,plain,
( ! [U_5267,U_5265] : v1_funct_1(k10_finseq_1(U_5267,U_5265))
& ! [U_5266,U_5264] : v1_relat_1(k10_finseq_1(U_5266,U_5264)) ),
inference(miniscope,[status(thm)],[f_2017_2]) ).
fof(f_2017_4,plain,
( ! [U_5265,U_5267] : v1_funct_1(k10_finseq_1(U_5267,U_5265))
& ! [U_5264,U_5266] : v1_relat_1(k10_finseq_1(U_5266,U_5264)) ),
inference(definitional_conversion,[status(esa)],[f_2017_3]) ).
cnf(f_2017_5,plain,
v1_relat_1(k10_finseq_1(U_5266,U_5264)),
inference(clausify,[status(thm)],[f_2017_4]) ).
cnf(f_2017_6,plain,
v1_funct_1(k10_finseq_1(U_5267,U_5265)),
inference(clausify,[status(thm)],[f_2017_4]) ).
fof(f_2018_1,plain,
! [A,B,C] :
( v1_funct_1(k11_finseq_1(A,B,C))
& v1_relat_1(k11_finseq_1(A,B,C)) ),
inference(fof_nnf,[status(thm)],[fc6_finseq_1]) ).
fof(f_2018_2,plain,
! [U_5270,U_5269,U_5268] :
( v1_funct_1(k11_finseq_1(U_5270,U_5269,U_5268))
& v1_relat_1(k11_finseq_1(U_5270,U_5269,U_5268)) ),
inference(variable_rename,[status(thm)],[f_2018_1]) ).
fof(f_2018_3,plain,
( ! [U_5276,U_5274,U_5272] : v1_funct_1(k11_finseq_1(U_5276,U_5274,U_5272))
& ! [U_5275,U_5273,U_5271] : v1_relat_1(k11_finseq_1(U_5275,U_5273,U_5271)) ),
inference(miniscope,[status(thm)],[f_2018_2]) ).
fof(f_2018_4,plain,
( ! [U_5274,U_5276,U_5272] : v1_funct_1(k11_finseq_1(U_5276,U_5274,U_5272))
& ! [U_5273,U_5275,U_5271] : v1_relat_1(k11_finseq_1(U_5275,U_5273,U_5271)) ),
inference(definitional_conversion,[status(esa)],[f_2018_3]) ).
cnf(f_2018_5,plain,
v1_relat_1(k11_finseq_1(U_5275,U_5273,U_5271)),
inference(clausify,[status(thm)],[f_2018_4]) ).
cnf(f_2018_6,plain,
v1_funct_1(k11_finseq_1(U_5276,U_5274,U_5272)),
inference(clausify,[status(thm)],[f_2018_4]) ).
fof(f_2019_1,plain,
! [A,B] :
( v1_finseq_1(k10_finseq_1(A,B))
& v1_finset_1(k10_finseq_1(A,B))
& v1_funct_1(k10_finseq_1(A,B))
& v1_relat_1(k10_finseq_1(A,B)) ),
inference(fof_nnf,[status(thm)],[fc7_finseq_1]) ).
fof(f_2019_2,plain,
! [U_5278,U_5277] :
( v1_finseq_1(k10_finseq_1(U_5278,U_5277))
& v1_finset_1(k10_finseq_1(U_5278,U_5277))
& v1_funct_1(k10_finseq_1(U_5278,U_5277))
& v1_relat_1(k10_finseq_1(U_5278,U_5277)) ),
inference(variable_rename,[status(thm)],[f_2019_1]) ).
fof(f_2019_3,plain,
( ! [U_5286,U_5282] : v1_finseq_1(k10_finseq_1(U_5286,U_5282))
& ! [U_5285,U_5281] : v1_finset_1(k10_finseq_1(U_5285,U_5281))
& ! [U_5284,U_5280] : v1_funct_1(k10_finseq_1(U_5284,U_5280))
& ! [U_5283,U_5279] : v1_relat_1(k10_finseq_1(U_5283,U_5279)) ),
inference(miniscope,[status(thm)],[f_2019_2]) ).
fof(f_2019_4,plain,
( ! [U_5282,U_5286] : v1_finseq_1(k10_finseq_1(U_5286,U_5282))
& ! [U_5281,U_5285] : v1_finset_1(k10_finseq_1(U_5285,U_5281))
& ! [U_5280,U_5284] : v1_funct_1(k10_finseq_1(U_5284,U_5280))
& ! [U_5279,U_5283] : v1_relat_1(k10_finseq_1(U_5283,U_5279)) ),
inference(definitional_conversion,[status(esa)],[f_2019_3]) ).
cnf(f_2019_5,plain,
v1_relat_1(k10_finseq_1(U_5283,U_5279)),
inference(clausify,[status(thm)],[f_2019_4]) ).
cnf(f_2019_6,plain,
v1_funct_1(k10_finseq_1(U_5284,U_5280)),
inference(clausify,[status(thm)],[f_2019_4]) ).
cnf(f_2019_7,plain,
v1_finset_1(k10_finseq_1(U_5285,U_5281)),
inference(clausify,[status(thm)],[f_2019_4]) ).
cnf(f_2019_8,plain,
v1_finseq_1(k10_finseq_1(U_5286,U_5282)),
inference(clausify,[status(thm)],[f_2019_4]) ).
fof(f_2020_1,plain,
! [A,B,C] :
( v1_finseq_1(k11_finseq_1(A,B,C))
& v1_finset_1(k11_finseq_1(A,B,C))
& v1_funct_1(k11_finseq_1(A,B,C))
& v1_relat_1(k11_finseq_1(A,B,C)) ),
inference(fof_nnf,[status(thm)],[fc8_finseq_1]) ).
fof(f_2020_2,plain,
! [U_5289,U_5288,U_5287] :
( v1_finseq_1(k11_finseq_1(U_5289,U_5288,U_5287))
& v1_finset_1(k11_finseq_1(U_5289,U_5288,U_5287))
& v1_funct_1(k11_finseq_1(U_5289,U_5288,U_5287))
& v1_relat_1(k11_finseq_1(U_5289,U_5288,U_5287)) ),
inference(variable_rename,[status(thm)],[f_2020_1]) ).
fof(f_2020_3,plain,
( ! [U_5301,U_5297,U_5293] : v1_finseq_1(k11_finseq_1(U_5301,U_5297,U_5293))
& ! [U_5300,U_5296,U_5292] : v1_finset_1(k11_finseq_1(U_5300,U_5296,U_5292))
& ! [U_5299,U_5295,U_5291] : v1_funct_1(k11_finseq_1(U_5299,U_5295,U_5291))
& ! [U_5298,U_5294,U_5290] : v1_relat_1(k11_finseq_1(U_5298,U_5294,U_5290)) ),
inference(miniscope,[status(thm)],[f_2020_2]) ).
fof(f_2020_4,plain,
( ! [U_5293,U_5297,U_5301] : v1_finseq_1(k11_finseq_1(U_5301,U_5297,U_5293))
& ! [U_5292,U_5296,U_5300] : v1_finset_1(k11_finseq_1(U_5300,U_5296,U_5292))
& ! [U_5291,U_5295,U_5299] : v1_funct_1(k11_finseq_1(U_5299,U_5295,U_5291))
& ! [U_5290,U_5294,U_5298] : v1_relat_1(k11_finseq_1(U_5298,U_5294,U_5290)) ),
inference(definitional_conversion,[status(esa)],[f_2020_3]) ).
cnf(f_2020_5,plain,
v1_relat_1(k11_finseq_1(U_5298,U_5294,U_5290)),
inference(clausify,[status(thm)],[f_2020_4]) ).
cnf(f_2020_6,plain,
v1_funct_1(k11_finseq_1(U_5299,U_5295,U_5291)),
inference(clausify,[status(thm)],[f_2020_4]) ).
cnf(f_2020_7,plain,
v1_finset_1(k11_finseq_1(U_5300,U_5296,U_5292)),
inference(clausify,[status(thm)],[f_2020_4]) ).
cnf(f_2020_8,plain,
v1_finseq_1(k11_finseq_1(U_5301,U_5297,U_5293)),
inference(clausify,[status(thm)],[f_2020_4]) ).
fof(f_2021_1,plain,
! [A] : ~ v1_xboole_0(k13_finseq_1(A)),
inference(fof_nnf,[status(thm)],[fc9_finseq_1]) ).
fof(f_2021_2,plain,
! [U_5302] : ~ v1_xboole_0(k13_finseq_1(U_5302)),
inference(variable_rename,[status(thm)],[f_2021_1]) ).
fof(f_2021_3,plain,
! [U_5302] : ~ v1_xboole_0(k13_finseq_1(U_5302)),
inference(definitional_conversion,[status(esa)],[f_2021_2]) ).
cnf(f_2021_4,plain,
~ v1_xboole_0(k13_finseq_1(U_5302)),
inference(clausify,[status(thm)],[f_2021_3]) ).
fof(f_2022_1,plain,
? [A] :
( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_finseq_1]) ).
fof(f_2022_2,plain,
? [U_5303] :
( v2_finseq_1(U_5303)
& v1_funct_1(U_5303)
& v1_relat_1(U_5303) ),
inference(variable_rename,[status(thm)],[f_2022_1]) ).
fof(f_2022_3,plain,
( v2_finseq_1(sK655)
& v1_funct_1(sK655)
& v1_relat_1(sK655) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK655]),skolemize(U_5303,sK655)],[f_2022_2]) ).
fof(f_2022_4,plain,
( v2_finseq_1(sK655)
& v1_funct_1(sK655)
& v1_relat_1(sK655) ),
inference(definitional_conversion,[status(esa)],[f_2022_3]) ).
cnf(f_2022_5,plain,
v1_relat_1(sK655),
inference(clausify,[status(thm)],[f_2022_4]) ).
cnf(f_2022_6,plain,
v1_funct_1(sK655),
inference(clausify,[status(thm)],[f_2022_4]) ).
cnf(f_2022_7,plain,
v2_finseq_1(sK655),
inference(clausify,[status(thm)],[f_2022_4]) ).
fof(f_2023_1,plain,
! [A] :
( ( v1_finseq_1(k15_finseq_1(A))
& v1_finset_1(k15_finseq_1(A))
& v1_funct_1(k15_finseq_1(A))
& v1_relat_1(k15_finseq_1(A)) )
| ~ v2_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc10_finseq_1]) ).
fof(f_2023_2,plain,
! [U_5304] :
( ( v1_finseq_1(k15_finseq_1(U_5304))
& v1_finset_1(k15_finseq_1(U_5304))
& v1_funct_1(k15_finseq_1(U_5304))
& v1_relat_1(k15_finseq_1(U_5304)) )
| ~ v2_finseq_1(U_5304)
| ~ v1_funct_1(U_5304)
| ~ v1_relat_1(U_5304) ),
inference(variable_rename,[status(thm)],[f_2023_1]) ).
fof(f_2023_3,plain,
( ! [U_5304] :
( v1_finseq_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) )
& ! [U_5304] :
( v1_finset_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) )
& ! [U_5304] :
( v1_funct_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) )
& ! [U_5304] :
( v1_relat_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) )
& ! [U_5304] :
( sP947(U_5304)
| ~ v2_finseq_1(U_5304)
| ~ v1_funct_1(U_5304)
| ~ v1_relat_1(U_5304) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP947])],[f_2023_2]) ).
cnf(f_2023_4,plain,
( sP947(U_5304)
| ~ v2_finseq_1(U_5304)
| ~ v1_funct_1(U_5304)
| ~ v1_relat_1(U_5304) ),
inference(clausify,[status(thm)],[f_2023_3]) ).
cnf(f_2023_5,plain,
( v1_relat_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) ),
inference(clausify,[status(thm)],[f_2023_3]) ).
cnf(f_2023_6,plain,
( v1_funct_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) ),
inference(clausify,[status(thm)],[f_2023_3]) ).
cnf(f_2023_7,plain,
( v1_finset_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) ),
inference(clausify,[status(thm)],[f_2023_3]) ).
cnf(f_2023_8,plain,
( v1_finseq_1(k15_finseq_1(U_5304))
| ~ sP947(U_5304) ),
inference(clausify,[status(thm)],[f_2023_3]) ).
fof(f_2024_1,plain,
? [A] :
( v1_finset_1(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc6_finseq_1]) ).
fof(f_2024_2,plain,
? [U_5305] :
( v1_finset_1(U_5305)
& v2_funct_1(U_5305)
& v1_funct_1(U_5305)
& v1_relat_1(U_5305)
& v1_xboole_0(U_5305) ),
inference(variable_rename,[status(thm)],[f_2024_1]) ).
fof(f_2024_3,plain,
( v1_finset_1(sK656)
& v2_funct_1(sK656)
& v1_funct_1(sK656)
& v1_relat_1(sK656)
& v1_xboole_0(sK656) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK656]),skolemize(U_5305,sK656)],[f_2024_2]) ).
fof(f_2024_4,plain,
( v1_finset_1(sK656)
& v2_funct_1(sK656)
& v1_funct_1(sK656)
& v1_relat_1(sK656)
& v1_xboole_0(sK656) ),
inference(definitional_conversion,[status(esa)],[f_2024_3]) ).
cnf(f_2024_5,plain,
v1_xboole_0(sK656),
inference(clausify,[status(thm)],[f_2024_4]) ).
cnf(f_2024_6,plain,
v1_relat_1(sK656),
inference(clausify,[status(thm)],[f_2024_4]) ).
cnf(f_2024_7,plain,
v1_funct_1(sK656),
inference(clausify,[status(thm)],[f_2024_4]) ).
cnf(f_2024_8,plain,
v2_funct_1(sK656),
inference(clausify,[status(thm)],[f_2024_4]) ).
cnf(f_2024_9,plain,
v1_finset_1(sK656),
inference(clausify,[status(thm)],[f_2024_4]) ).
fof(f_2025_1,plain,
? [A] :
( v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc7_finseq_1]) ).
fof(f_2025_2,plain,
? [U_5306] :
( v1_finset_1(U_5306)
& v1_funct_1(U_5306)
& v1_relat_1(U_5306)
& ~ v1_xboole_0(U_5306) ),
inference(variable_rename,[status(thm)],[f_2025_1]) ).
fof(f_2025_3,plain,
( v1_finset_1(sK657)
& v1_funct_1(sK657)
& v1_relat_1(sK657)
& ~ v1_xboole_0(sK657) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK657]),skolemize(U_5306,sK657)],[f_2025_2]) ).
fof(f_2025_4,plain,
( v1_finset_1(sK657)
& v1_funct_1(sK657)
& v1_relat_1(sK657)
& ~ v1_xboole_0(sK657) ),
inference(definitional_conversion,[status(esa)],[f_2025_3]) ).
cnf(f_2025_5,plain,
~ v1_xboole_0(sK657),
inference(clausify,[status(thm)],[f_2025_4]) ).
cnf(f_2025_6,plain,
v1_relat_1(sK657),
inference(clausify,[status(thm)],[f_2025_4]) ).
cnf(f_2025_7,plain,
v1_funct_1(sK657),
inference(clausify,[status(thm)],[f_2025_4]) ).
cnf(f_2025_8,plain,
v1_finset_1(sK657),
inference(clausify,[status(thm)],[f_2025_4]) ).
fof(f_2026_1,plain,
! [A] :
( v1_finset_1(k2_relat_1(A))
| ~ v1_finset_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc11_finseq_1]) ).
fof(f_2026_2,plain,
! [U_5307] :
( v1_finset_1(k2_relat_1(U_5307))
| ~ v1_finset_1(U_5307)
| ~ v1_relat_1(U_5307) ),
inference(variable_rename,[status(thm)],[f_2026_1]) ).
fof(f_2026_3,plain,
! [U_5307] :
( v1_finset_1(k2_relat_1(U_5307))
| ~ v1_finset_1(U_5307)
| ~ v1_relat_1(U_5307) ),
inference(definitional_conversion,[status(esa)],[f_2026_2]) ).
cnf(f_2026_4,plain,
( v1_finset_1(k2_relat_1(U_5307))
| ~ v1_finset_1(U_5307)
| ~ v1_relat_1(U_5307) ),
inference(clausify,[status(thm)],[f_2026_3]) ).
fof(f_2027_1,plain,
! [A] :
( v1_finseq_1(k5_finseq_1(A))
& v1_finset_1(k5_finseq_1(A))
& v1_funct_1(k5_finseq_1(A))
& v1_relat_1(k5_finseq_1(A))
& ~ v1_xboole_0(k5_finseq_1(A)) ),
inference(fof_nnf,[status(thm)],[fc12_finseq_1]) ).
fof(f_2027_2,plain,
! [U_5308] :
( v1_finseq_1(k5_finseq_1(U_5308))
& v1_finset_1(k5_finseq_1(U_5308))
& v1_funct_1(k5_finseq_1(U_5308))
& v1_relat_1(k5_finseq_1(U_5308))
& ~ v1_xboole_0(k5_finseq_1(U_5308)) ),
inference(variable_rename,[status(thm)],[f_2027_1]) ).
fof(f_2027_3,plain,
( ! [U_5313] : v1_finseq_1(k5_finseq_1(U_5313))
& ! [U_5312] : v1_finset_1(k5_finseq_1(U_5312))
& ! [U_5311] : v1_funct_1(k5_finseq_1(U_5311))
& ! [U_5310] : v1_relat_1(k5_finseq_1(U_5310))
& ! [U_5309] : ~ v1_xboole_0(k5_finseq_1(U_5309)) ),
inference(miniscope,[status(thm)],[f_2027_2]) ).
fof(f_2027_4,plain,
( ! [U_5313] : v1_finseq_1(k5_finseq_1(U_5313))
& ! [U_5312] : v1_finset_1(k5_finseq_1(U_5312))
& ! [U_5311] : v1_funct_1(k5_finseq_1(U_5311))
& ! [U_5310] : v1_relat_1(k5_finseq_1(U_5310))
& ! [U_5309] : ~ v1_xboole_0(k5_finseq_1(U_5309)) ),
inference(definitional_conversion,[status(esa)],[f_2027_3]) ).
cnf(f_2027_5,plain,
~ v1_xboole_0(k5_finseq_1(U_5309)),
inference(clausify,[status(thm)],[f_2027_4]) ).
cnf(f_2027_6,plain,
v1_relat_1(k5_finseq_1(U_5310)),
inference(clausify,[status(thm)],[f_2027_4]) ).
cnf(f_2027_7,plain,
v1_funct_1(k5_finseq_1(U_5311)),
inference(clausify,[status(thm)],[f_2027_4]) ).
cnf(f_2027_8,plain,
v1_finset_1(k5_finseq_1(U_5312)),
inference(clausify,[status(thm)],[f_2027_4]) ).
cnf(f_2027_9,plain,
v1_finseq_1(k5_finseq_1(U_5313)),
inference(clausify,[status(thm)],[f_2027_4]) ).
fof(f_2028_1,plain,
? [A] :
( v1_finseq_1(A)
& v1_finset_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc8_finseq_1]) ).
fof(f_2028_2,plain,
? [U_5314] :
( v1_finseq_1(U_5314)
& v1_finset_1(U_5314)
& v1_funct_1(U_5314)
& v1_relat_1(U_5314)
& ~ v1_xboole_0(U_5314) ),
inference(variable_rename,[status(thm)],[f_2028_1]) ).
fof(f_2028_3,plain,
( v1_finseq_1(sK658)
& v1_finset_1(sK658)
& v1_funct_1(sK658)
& v1_relat_1(sK658)
& ~ v1_xboole_0(sK658) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK658]),skolemize(U_5314,sK658)],[f_2028_2]) ).
fof(f_2028_4,plain,
( v1_finseq_1(sK658)
& v1_finset_1(sK658)
& v1_funct_1(sK658)
& v1_relat_1(sK658)
& ~ v1_xboole_0(sK658) ),
inference(definitional_conversion,[status(esa)],[f_2028_3]) ).
cnf(f_2028_5,plain,
~ v1_xboole_0(sK658),
inference(clausify,[status(thm)],[f_2028_4]) ).
cnf(f_2028_6,plain,
v1_relat_1(sK658),
inference(clausify,[status(thm)],[f_2028_4]) ).
cnf(f_2028_7,plain,
v1_funct_1(sK658),
inference(clausify,[status(thm)],[f_2028_4]) ).
cnf(f_2028_8,plain,
v1_finset_1(sK658),
inference(clausify,[status(thm)],[f_2028_4]) ).
cnf(f_2028_9,plain,
v1_finseq_1(sK658),
inference(clausify,[status(thm)],[f_2028_4]) ).
fof(f_2029_1,plain,
! [A,B] :
( ( v1_finseq_1(k7_finseq_1(A,B))
& v1_finset_1(k7_finseq_1(A,B))
& v1_funct_1(k7_finseq_1(A,B))
& v1_relat_1(k7_finseq_1(A,B))
& ~ v1_xboole_0(k7_finseq_1(A,B)) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B)
| v1_xboole_0(B)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc13_finseq_1]) ).
fof(f_2029_2,plain,
! [U_5316,U_5315] :
( ( v1_finseq_1(k7_finseq_1(U_5316,U_5315))
& v1_finset_1(k7_finseq_1(U_5316,U_5315))
& v1_funct_1(k7_finseq_1(U_5316,U_5315))
& v1_relat_1(k7_finseq_1(U_5316,U_5315))
& ~ v1_xboole_0(k7_finseq_1(U_5316,U_5315)) )
| ~ v1_finseq_1(U_5315)
| ~ v1_funct_1(U_5315)
| ~ v1_relat_1(U_5315)
| v1_xboole_0(U_5315)
| ~ v1_finseq_1(U_5316)
| ~ v1_funct_1(U_5316)
| ~ v1_relat_1(U_5316) ),
inference(variable_rename,[status(thm)],[f_2029_1]) ).
fof(f_2029_3,plain,
( ! [U_5316,U_5315] :
( v1_finseq_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) )
& ! [U_5316,U_5315] :
( v1_finset_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) )
& ! [U_5316,U_5315] :
( v1_funct_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) )
& ! [U_5316,U_5315] :
( v1_relat_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) )
& ! [U_5316,U_5315] :
( ~ v1_xboole_0(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) )
& ! [U_5316,U_5315] :
( sP948(U_5316,U_5315)
| ~ v1_finseq_1(U_5315)
| ~ v1_funct_1(U_5315)
| ~ v1_relat_1(U_5315)
| v1_xboole_0(U_5315)
| ~ v1_finseq_1(U_5316)
| ~ v1_funct_1(U_5316)
| ~ v1_relat_1(U_5316) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP948])],[f_2029_2]) ).
cnf(f_2029_4,plain,
( sP948(U_5316,U_5315)
| ~ v1_finseq_1(U_5315)
| ~ v1_funct_1(U_5315)
| ~ v1_relat_1(U_5315)
| v1_xboole_0(U_5315)
| ~ v1_finseq_1(U_5316)
| ~ v1_funct_1(U_5316)
| ~ v1_relat_1(U_5316) ),
inference(clausify,[status(thm)],[f_2029_3]) ).
cnf(f_2029_5,plain,
( ~ v1_xboole_0(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) ),
inference(clausify,[status(thm)],[f_2029_3]) ).
cnf(f_2029_6,plain,
( v1_relat_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) ),
inference(clausify,[status(thm)],[f_2029_3]) ).
cnf(f_2029_7,plain,
( v1_funct_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) ),
inference(clausify,[status(thm)],[f_2029_3]) ).
cnf(f_2029_8,plain,
( v1_finset_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) ),
inference(clausify,[status(thm)],[f_2029_3]) ).
cnf(f_2029_9,plain,
( v1_finseq_1(k7_finseq_1(U_5316,U_5315))
| ~ sP948(U_5316,U_5315) ),
inference(clausify,[status(thm)],[f_2029_3]) ).
fof(f_2030_1,plain,
! [A,B] :
( ( v1_finseq_1(k7_finseq_1(B,A))
& v1_finset_1(k7_finseq_1(B,A))
& v1_funct_1(k7_finseq_1(B,A))
& v1_relat_1(k7_finseq_1(B,A))
& ~ v1_xboole_0(k7_finseq_1(B,A)) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B)
| v1_xboole_0(B)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc14_finseq_1]) ).
fof(f_2030_2,plain,
! [U_5318,U_5317] :
( ( v1_finseq_1(k7_finseq_1(U_5317,U_5318))
& v1_finset_1(k7_finseq_1(U_5317,U_5318))
& v1_funct_1(k7_finseq_1(U_5317,U_5318))
& v1_relat_1(k7_finseq_1(U_5317,U_5318))
& ~ v1_xboole_0(k7_finseq_1(U_5317,U_5318)) )
| ~ v1_finseq_1(U_5317)
| ~ v1_funct_1(U_5317)
| ~ v1_relat_1(U_5317)
| v1_xboole_0(U_5317)
| ~ v1_finseq_1(U_5318)
| ~ v1_funct_1(U_5318)
| ~ v1_relat_1(U_5318) ),
inference(variable_rename,[status(thm)],[f_2030_1]) ).
fof(f_2030_3,plain,
( ! [U_5317,U_5318] :
( v1_finseq_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) )
& ! [U_5317,U_5318] :
( v1_finset_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) )
& ! [U_5317,U_5318] :
( v1_funct_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) )
& ! [U_5317,U_5318] :
( v1_relat_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) )
& ! [U_5317,U_5318] :
( ~ v1_xboole_0(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) )
& ! [U_5317,U_5318] :
( sP949(U_5317,U_5318)
| ~ v1_finseq_1(U_5317)
| ~ v1_funct_1(U_5317)
| ~ v1_relat_1(U_5317)
| v1_xboole_0(U_5317)
| ~ v1_finseq_1(U_5318)
| ~ v1_funct_1(U_5318)
| ~ v1_relat_1(U_5318) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP949])],[f_2030_2]) ).
cnf(f_2030_4,plain,
( sP949(U_5317,U_5318)
| ~ v1_finseq_1(U_5317)
| ~ v1_funct_1(U_5317)
| ~ v1_relat_1(U_5317)
| v1_xboole_0(U_5317)
| ~ v1_finseq_1(U_5318)
| ~ v1_funct_1(U_5318)
| ~ v1_relat_1(U_5318) ),
inference(clausify,[status(thm)],[f_2030_3]) ).
cnf(f_2030_5,plain,
( ~ v1_xboole_0(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) ),
inference(clausify,[status(thm)],[f_2030_3]) ).
cnf(f_2030_6,plain,
( v1_relat_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) ),
inference(clausify,[status(thm)],[f_2030_3]) ).
cnf(f_2030_7,plain,
( v1_funct_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) ),
inference(clausify,[status(thm)],[f_2030_3]) ).
cnf(f_2030_8,plain,
( v1_finset_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) ),
inference(clausify,[status(thm)],[f_2030_3]) ).
cnf(f_2030_9,plain,
( v1_finseq_1(k7_finseq_1(U_5317,U_5318))
| ~ sP949(U_5317,U_5318) ),
inference(clausify,[status(thm)],[f_2030_3]) ).
fof(f_2031_1,plain,
! [A,B] :
( ( v1_finseq_1(k16_finseq_1(A,B,np__0))
& v1_finset_1(k16_finseq_1(A,B,np__0))
& v2_funct_1(k16_finseq_1(A,B,np__0))
& v1_funct_1(k16_finseq_1(A,B,np__0))
& v1_relat_1(k16_finseq_1(A,B,np__0))
& v1_xboole_0(k16_finseq_1(A,B,np__0)) )
| ~ m1_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[fc15_finseq_1]) ).
fof(f_2031_2,plain,
! [U_5320,U_5319] :
( ( v1_finseq_1(k16_finseq_1(U_5320,U_5319,np__0))
& v1_finset_1(k16_finseq_1(U_5320,U_5319,np__0))
& v2_funct_1(k16_finseq_1(U_5320,U_5319,np__0))
& v1_funct_1(k16_finseq_1(U_5320,U_5319,np__0))
& v1_relat_1(k16_finseq_1(U_5320,U_5319,np__0))
& v1_xboole_0(k16_finseq_1(U_5320,U_5319,np__0)) )
| ~ m1_finseq_1(U_5319,U_5320) ),
inference(variable_rename,[status(thm)],[f_2031_1]) ).
fof(f_2031_3,plain,
( ! [U_5319,U_5320] :
( v1_finseq_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) )
& ! [U_5319,U_5320] :
( v1_finset_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) )
& ! [U_5319,U_5320] :
( v2_funct_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) )
& ! [U_5319,U_5320] :
( v1_funct_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) )
& ! [U_5319,U_5320] :
( v1_relat_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) )
& ! [U_5319,U_5320] :
( v1_xboole_0(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) )
& ! [U_5319,U_5320] :
( sP950(U_5319,U_5320)
| ~ m1_finseq_1(U_5319,U_5320) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP950])],[f_2031_2]) ).
cnf(f_2031_4,plain,
( sP950(U_5319,U_5320)
| ~ m1_finseq_1(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
cnf(f_2031_5,plain,
( v1_xboole_0(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
cnf(f_2031_6,plain,
( v1_relat_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
cnf(f_2031_7,plain,
( v1_funct_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
cnf(f_2031_8,plain,
( v2_funct_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
cnf(f_2031_9,plain,
( v1_finset_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
cnf(f_2031_10,plain,
( v1_finseq_1(k16_finseq_1(U_5320,U_5319,np__0))
| ~ sP950(U_5319,U_5320) ),
inference(clausify,[status(thm)],[f_2031_3]) ).
fof(f_2032_1,plain,
! [A] :
( v1_fraenkel(k13_finseq_1(A))
& ~ v1_xboole_0(k13_finseq_1(A)) ),
inference(fof_nnf,[status(thm)],[fc16_finseq_1]) ).
fof(f_2032_2,plain,
! [U_5321] :
( v1_fraenkel(k13_finseq_1(U_5321))
& ~ v1_xboole_0(k13_finseq_1(U_5321)) ),
inference(variable_rename,[status(thm)],[f_2032_1]) ).
fof(f_2032_3,plain,
( ! [U_5323] : v1_fraenkel(k13_finseq_1(U_5323))
& ! [U_5322] : ~ v1_xboole_0(k13_finseq_1(U_5322)) ),
inference(miniscope,[status(thm)],[f_2032_2]) ).
fof(f_2032_4,plain,
( ! [U_5323] : v1_fraenkel(k13_finseq_1(U_5323))
& ! [U_5322] : ~ v1_xboole_0(k13_finseq_1(U_5322)) ),
inference(definitional_conversion,[status(esa)],[f_2032_3]) ).
cnf(f_2032_5,plain,
~ v1_xboole_0(k13_finseq_1(U_5322)),
inference(clausify,[status(thm)],[f_2032_4]) ).
cnf(f_2032_6,plain,
v1_fraenkel(k13_finseq_1(U_5323)),
inference(clausify,[status(thm)],[f_2032_4]) ).
fof(f_2033_1,plain,
! [A] :
( v1_finset_1(k1_relat_1(A))
| ~ v1_finset_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc17_finseq_1]) ).
fof(f_2033_2,plain,
! [U_5324] :
( v1_finset_1(k1_relat_1(U_5324))
| ~ v1_finset_1(U_5324)
| ~ v1_funct_1(U_5324)
| ~ v1_relat_1(U_5324) ),
inference(variable_rename,[status(thm)],[f_2033_1]) ).
fof(f_2033_3,plain,
! [U_5324] :
( v1_finset_1(k1_relat_1(U_5324))
| ~ v1_finset_1(U_5324)
| ~ v1_funct_1(U_5324)
| ~ v1_relat_1(U_5324) ),
inference(definitional_conversion,[status(esa)],[f_2033_2]) ).
cnf(f_2033_4,plain,
( v1_finset_1(k1_relat_1(U_5324))
| ~ v1_finset_1(U_5324)
| ~ v1_funct_1(U_5324)
| ~ v1_relat_1(U_5324) ),
inference(clausify,[status(thm)],[f_2033_3]) ).
fof(f_2034_1,plain,
! [A,B] :
( v1_finset_1(k10_relat_1(A,B))
| ~ v1_finset_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc18_finseq_1]) ).
fof(f_2034_2,plain,
! [U_5326,U_5325] :
( v1_finset_1(k10_relat_1(U_5326,U_5325))
| ~ v1_finset_1(U_5326)
| ~ v1_funct_1(U_5326)
| ~ v1_relat_1(U_5326) ),
inference(variable_rename,[status(thm)],[f_2034_1]) ).
fof(f_2034_3,plain,
! [U_5326] :
( ! [U_5325] : v1_finset_1(k10_relat_1(U_5326,U_5325))
| ~ v1_finset_1(U_5326)
| ~ v1_funct_1(U_5326)
| ~ v1_relat_1(U_5326) ),
inference(miniscope,[status(thm)],[f_2034_2]) ).
fof(f_2034_4,plain,
! [U_5326,U_5325] :
( v1_finset_1(k10_relat_1(U_5326,U_5325))
| ~ v1_finset_1(U_5326)
| ~ v1_funct_1(U_5326)
| ~ v1_relat_1(U_5326) ),
inference(definitional_conversion,[status(esa)],[f_2034_3]) ).
cnf(f_2034_5,plain,
( v1_finset_1(k10_relat_1(U_5326,U_5325))
| ~ v1_finset_1(U_5326)
| ~ v1_funct_1(U_5326)
| ~ v1_relat_1(U_5326) ),
inference(clausify,[status(thm)],[f_2034_4]) ).
fof(f_2035_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_finseq_1]) ).
fof(f_2035_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2035_1]) ).
cnf(f_2035_3,plain,
$true,
inference(clausify,[status(thm)],[f_2035_2]) ).
fof(f_2036_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_finseq_1]) ).
fof(f_2036_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2036_1]) ).
cnf(f_2036_3,plain,
$true,
inference(clausify,[status(thm)],[f_2036_2]) ).
fof(f_2037_1,plain,
! [A] :
( ! [B] :
( ( ( r2_hidden(A,k2_finseq_1(B))
| ~ r1_xreal_0(A,B)
| ~ r1_xreal_0(np__1,A) )
& ( ( r1_xreal_0(A,B)
& r1_xreal_0(np__1,A) )
| ~ r2_hidden(A,k2_finseq_1(B)) ) )
| ~ v4_ordinal2(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t3_finseq_1]) ).
fof(f_2037_2,plain,
! [U_5328] :
( ! [U_5327] :
( ( ( r2_hidden(U_5328,k2_finseq_1(U_5327))
| ~ r1_xreal_0(U_5328,U_5327)
| ~ r1_xreal_0(np__1,U_5328) )
& ( ( r1_xreal_0(U_5328,U_5327)
& r1_xreal_0(np__1,U_5328) )
| ~ r2_hidden(U_5328,k2_finseq_1(U_5327)) ) )
| ~ v4_ordinal2(U_5327) )
| ~ v4_ordinal2(U_5328) ),
inference(variable_rename,[status(thm)],[f_2037_1]) ).
fof(f_2037_3,plain,
( ! [U_5328,U_5327] :
( r1_xreal_0(U_5328,U_5327)
| ~ sP951(U_5328,U_5327) )
& ! [U_5328,U_5327] :
( r1_xreal_0(np__1,U_5328)
| ~ sP951(U_5328,U_5327) )
& ! [U_5328,U_5327] :
( r2_hidden(U_5328,k2_finseq_1(U_5327))
| ~ r1_xreal_0(U_5328,U_5327)
| ~ r1_xreal_0(np__1,U_5328)
| ~ sP952(U_5328,U_5327) )
& ! [U_5328,U_5327] :
( sP951(U_5328,U_5327)
| ~ r2_hidden(U_5328,k2_finseq_1(U_5327))
| ~ sP952(U_5328,U_5327) )
& ! [U_5328,U_5327] :
( sP952(U_5328,U_5327)
| ~ v4_ordinal2(U_5327)
| ~ v4_ordinal2(U_5328) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP951,sP952])],[f_2037_2]) ).
cnf(f_2037_4,plain,
( sP952(U_5328,U_5327)
| ~ v4_ordinal2(U_5327)
| ~ v4_ordinal2(U_5328) ),
inference(clausify,[status(thm)],[f_2037_3]) ).
cnf(f_2037_5,plain,
( sP951(U_5328,U_5327)
| ~ r2_hidden(U_5328,k2_finseq_1(U_5327))
| ~ sP952(U_5328,U_5327) ),
inference(clausify,[status(thm)],[f_2037_3]) ).
cnf(f_2037_6,plain,
( r2_hidden(U_5328,k2_finseq_1(U_5327))
| ~ r1_xreal_0(U_5328,U_5327)
| ~ r1_xreal_0(np__1,U_5328)
| ~ sP952(U_5328,U_5327) ),
inference(clausify,[status(thm)],[f_2037_3]) ).
cnf(f_2037_7,plain,
( r1_xreal_0(np__1,U_5328)
| ~ sP951(U_5328,U_5327) ),
inference(clausify,[status(thm)],[f_2037_3]) ).
cnf(f_2037_8,plain,
( r1_xreal_0(U_5328,U_5327)
| ~ sP951(U_5328,U_5327) ),
inference(clausify,[status(thm)],[f_2037_3]) ).
fof(f_2038_1,plain,
( k2_finseq_1(np__2) = k2_tarski(np__1,np__2)
& k2_finseq_1(np__1) = k1_tarski(np__1)
& k2_finseq_1(np__0) = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[t4_finseq_1]) ).
fof(f_2038_2,plain,
( k2_finseq_1(np__2) = k2_tarski(np__1,np__2)
& k2_finseq_1(np__1) = k1_tarski(np__1)
& k2_finseq_1(np__0) = k1_xboole_0 ),
inference(definitional_conversion,[status(esa)],[f_2038_1]) ).
cnf(f_2038_3,plain,
k2_finseq_1(np__0) = k1_xboole_0,
inference(clausify,[status(thm)],[f_2038_2]) ).
cnf(f_2038_4,plain,
k2_finseq_1(np__1) = k1_tarski(np__1),
inference(clausify,[status(thm)],[f_2038_2]) ).
cnf(f_2038_5,plain,
k2_finseq_1(np__2) = k2_tarski(np__1,np__2),
inference(clausify,[status(thm)],[f_2038_2]) ).
fof(f_2039_1,plain,
! [A] :
( r2_hidden(A,k2_finseq_1(A))
| A = np__0
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t5_finseq_1]) ).
fof(f_2039_2,plain,
! [U_5329] :
( r2_hidden(U_5329,k2_finseq_1(U_5329))
| U_5329 = np__0
| ~ v4_ordinal2(U_5329) ),
inference(variable_rename,[status(thm)],[f_2039_1]) ).
fof(f_2039_3,plain,
! [U_5329] :
( r2_hidden(U_5329,k2_finseq_1(U_5329))
| U_5329 = np__0
| ~ v4_ordinal2(U_5329) ),
inference(definitional_conversion,[status(esa)],[f_2039_2]) ).
cnf(f_2039_4,plain,
( r2_hidden(U_5329,k2_finseq_1(U_5329))
| U_5329 = np__0
| ~ v4_ordinal2(U_5329) ),
inference(clausify,[status(thm)],[f_2039_3]) ).
fof(f_2040_1,plain,
! [A] :
( r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(k2_xcmplx_0(A,np__1)))
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t6_finseq_1]) ).
fof(f_2040_2,plain,
! [U_5330] :
( r2_hidden(k2_xcmplx_0(U_5330,np__1),k2_finseq_1(k2_xcmplx_0(U_5330,np__1)))
| ~ v4_ordinal2(U_5330) ),
inference(variable_rename,[status(thm)],[f_2040_1]) ).
fof(f_2040_3,plain,
! [U_5330] :
( r2_hidden(k2_xcmplx_0(U_5330,np__1),k2_finseq_1(k2_xcmplx_0(U_5330,np__1)))
| ~ v4_ordinal2(U_5330) ),
inference(definitional_conversion,[status(esa)],[f_2040_2]) ).
cnf(f_2040_4,plain,
( r2_hidden(k2_xcmplx_0(U_5330,np__1),k2_finseq_1(k2_xcmplx_0(U_5330,np__1)))
| ~ v4_ordinal2(U_5330) ),
inference(clausify,[status(thm)],[f_2040_3]) ).
fof(f_2041_1,plain,
! [A] :
( ! [B] :
( ( ( r1_xreal_0(A,B)
| ~ r1_tarski(k2_finseq_1(A),k2_finseq_1(B)) )
& ( r1_tarski(k2_finseq_1(A),k2_finseq_1(B))
| ~ r1_xreal_0(A,B) ) )
| ~ v4_ordinal2(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t7_finseq_1]) ).
fof(f_2041_2,plain,
! [U_5332] :
( ! [U_5331] :
( ( ( r1_xreal_0(U_5332,U_5331)
| ~ r1_tarski(k2_finseq_1(U_5332),k2_finseq_1(U_5331)) )
& ( r1_tarski(k2_finseq_1(U_5332),k2_finseq_1(U_5331))
| ~ r1_xreal_0(U_5332,U_5331) ) )
| ~ v4_ordinal2(U_5331) )
| ~ v4_ordinal2(U_5332) ),
inference(variable_rename,[status(thm)],[f_2041_1]) ).
fof(f_2041_3,plain,
( ! [U_5332,U_5331] :
( r1_xreal_0(U_5332,U_5331)
| ~ r1_tarski(k2_finseq_1(U_5332),k2_finseq_1(U_5331))
| ~ sP953(U_5332,U_5331) )
& ! [U_5332,U_5331] :
( r1_tarski(k2_finseq_1(U_5332),k2_finseq_1(U_5331))
| ~ r1_xreal_0(U_5332,U_5331)
| ~ sP953(U_5332,U_5331) )
& ! [U_5332,U_5331] :
( sP953(U_5332,U_5331)
| ~ v4_ordinal2(U_5331)
| ~ v4_ordinal2(U_5332) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP953])],[f_2041_2]) ).
cnf(f_2041_4,plain,
( sP953(U_5332,U_5331)
| ~ v4_ordinal2(U_5331)
| ~ v4_ordinal2(U_5332) ),
inference(clausify,[status(thm)],[f_2041_3]) ).
cnf(f_2041_5,plain,
( r1_tarski(k2_finseq_1(U_5332),k2_finseq_1(U_5331))
| ~ r1_xreal_0(U_5332,U_5331)
| ~ sP953(U_5332,U_5331) ),
inference(clausify,[status(thm)],[f_2041_3]) ).
cnf(f_2041_6,plain,
( r1_xreal_0(U_5332,U_5331)
| ~ r1_tarski(k2_finseq_1(U_5332),k2_finseq_1(U_5331))
| ~ sP953(U_5332,U_5331) ),
inference(clausify,[status(thm)],[f_2041_3]) ).
fof(f_2042_1,plain,
! [A] :
( ! [B] :
( A = B
| k2_finseq_1(A) != k2_finseq_1(B)
| ~ v4_ordinal2(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t8_finseq_1]) ).
fof(f_2042_2,plain,
! [U_5334] :
( ! [U_5333] :
( U_5334 = U_5333
| k2_finseq_1(U_5334) != k2_finseq_1(U_5333)
| ~ v4_ordinal2(U_5333) )
| ~ v4_ordinal2(U_5334) ),
inference(variable_rename,[status(thm)],[f_2042_1]) ).
fof(f_2042_3,plain,
! [U_5334,U_5333] :
( U_5334 = U_5333
| k2_finseq_1(U_5334) != k2_finseq_1(U_5333)
| ~ v4_ordinal2(U_5333)
| ~ v4_ordinal2(U_5334) ),
inference(definitional_conversion,[status(esa)],[f_2042_2]) ).
cnf(f_2042_4,plain,
( U_5334 = U_5333
| k2_finseq_1(U_5334) != k2_finseq_1(U_5333)
| ~ v4_ordinal2(U_5333)
| ~ v4_ordinal2(U_5334) ),
inference(clausify,[status(thm)],[f_2042_3]) ).
fof(f_2043_1,plain,
! [A] :
( ! [B] :
( k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(A))
| ~ r1_xreal_0(A,B)
| ~ v4_ordinal2(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t9_finseq_1]) ).
fof(f_2043_2,plain,
! [U_5336] :
( ! [U_5335] :
( k2_finseq_1(U_5336) = k5_subset_1(k5_numbers,k2_finseq_1(U_5335),k2_finseq_1(U_5336))
| ~ r1_xreal_0(U_5336,U_5335)
| ~ v4_ordinal2(U_5335) )
| ~ v4_ordinal2(U_5336) ),
inference(variable_rename,[status(thm)],[f_2043_1]) ).
fof(f_2043_3,plain,
! [U_5336,U_5335] :
( k2_finseq_1(U_5336) = k5_subset_1(k5_numbers,k2_finseq_1(U_5335),k2_finseq_1(U_5336))
| ~ r1_xreal_0(U_5336,U_5335)
| ~ v4_ordinal2(U_5335)
| ~ v4_ordinal2(U_5336) ),
inference(definitional_conversion,[status(esa)],[f_2043_2]) ).
cnf(f_2043_4,plain,
( k2_finseq_1(U_5336) = k5_subset_1(k5_numbers,k2_finseq_1(U_5335),k2_finseq_1(U_5336))
| ~ r1_xreal_0(U_5336,U_5335)
| ~ v4_ordinal2(U_5335)
| ~ v4_ordinal2(U_5336) ),
inference(clausify,[status(thm)],[f_2043_3]) ).
fof(f_2044_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(A,B)
| k2_finseq_1(A) != k5_subset_1(k5_numbers,k2_finseq_1(A),k2_finseq_1(B))
| ~ v4_ordinal2(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t10_finseq_1]) ).
fof(f_2044_2,plain,
! [U_5338] :
( ! [U_5337] :
( r1_xreal_0(U_5338,U_5337)
| k2_finseq_1(U_5338) != k5_subset_1(k5_numbers,k2_finseq_1(U_5338),k2_finseq_1(U_5337))
| ~ v4_ordinal2(U_5337) )
| ~ v4_ordinal2(U_5338) ),
inference(variable_rename,[status(thm)],[f_2044_1]) ).
fof(f_2044_3,plain,
! [U_5337,U_5338] :
( r1_xreal_0(U_5338,U_5337)
| k2_finseq_1(U_5338) != k5_subset_1(k5_numbers,k2_finseq_1(U_5338),k2_finseq_1(U_5337))
| ~ v4_ordinal2(U_5337)
| ~ v4_ordinal2(U_5338) ),
inference(definitional_conversion,[status(esa)],[f_2044_2]) ).
cnf(f_2044_4,plain,
( r1_xreal_0(U_5338,U_5337)
| k2_finseq_1(U_5338) != k5_subset_1(k5_numbers,k2_finseq_1(U_5338),k2_finseq_1(U_5337))
| ~ v4_ordinal2(U_5337)
| ~ v4_ordinal2(U_5338) ),
inference(clausify,[status(thm)],[f_2044_3]) ).
fof(f_2045_1,plain,
! [A] :
( k2_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))) = k2_finseq_1(k2_xcmplx_0(A,np__1))
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t11_finseq_1]) ).
fof(f_2045_2,plain,
! [U_5339] :
( k2_xboole_0(k2_finseq_1(U_5339),k1_tarski(k2_xcmplx_0(U_5339,np__1))) = k2_finseq_1(k2_xcmplx_0(U_5339,np__1))
| ~ v4_ordinal2(U_5339) ),
inference(variable_rename,[status(thm)],[f_2045_1]) ).
fof(f_2045_3,plain,
! [U_5339] :
( k2_xboole_0(k2_finseq_1(U_5339),k1_tarski(k2_xcmplx_0(U_5339,np__1))) = k2_finseq_1(k2_xcmplx_0(U_5339,np__1))
| ~ v4_ordinal2(U_5339) ),
inference(definitional_conversion,[status(esa)],[f_2045_2]) ).
cnf(f_2045_4,plain,
( k2_xboole_0(k2_finseq_1(U_5339),k1_tarski(k2_xcmplx_0(U_5339,np__1))) = k2_finseq_1(k2_xcmplx_0(U_5339,np__1))
| ~ v4_ordinal2(U_5339) ),
inference(clausify,[status(thm)],[f_2045_3]) ).
fof(f_2046_1,plain,
! [A] :
( k2_finseq_1(A) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(A,np__1)),k1_tarski(k2_xcmplx_0(A,np__1)))
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t12_finseq_1]) ).
fof(f_2046_2,plain,
! [U_5340] :
( k2_finseq_1(U_5340) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(U_5340,np__1)),k1_tarski(k2_xcmplx_0(U_5340,np__1)))
| ~ v4_ordinal2(U_5340) ),
inference(variable_rename,[status(thm)],[f_2046_1]) ).
fof(f_2046_3,plain,
! [U_5340] :
( k2_finseq_1(U_5340) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(U_5340,np__1)),k1_tarski(k2_xcmplx_0(U_5340,np__1)))
| ~ v4_ordinal2(U_5340) ),
inference(definitional_conversion,[status(esa)],[f_2046_2]) ).
cnf(f_2046_4,plain,
( k2_finseq_1(U_5340) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(U_5340,np__1)),k1_tarski(k2_xcmplx_0(U_5340,np__1)))
| ~ v4_ordinal2(U_5340) ),
inference(clausify,[status(thm)],[f_2046_3]) ).
fof(f_2047_1,plain,
! [A] :
( ( ( v1_finseq_1(A)
| ! [B] :
( k1_relat_1(A) != k2_finseq_1(B)
| ~ m2_subset_1(B,k1_numbers,k5_numbers) ) )
& ( ? [B] :
( k1_relat_1(A) = k2_finseq_1(B)
& m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(A) ) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d2_finseq_1]) ).
fof(f_2047_2,plain,
! [U_5343] :
( ( ( v1_finseq_1(U_5343)
| ! [U_5342] :
( k1_relat_1(U_5343) != k2_finseq_1(U_5342)
| ~ m2_subset_1(U_5342,k1_numbers,k5_numbers) ) )
& ( ? [U_5341] :
( k1_relat_1(U_5343) = k2_finseq_1(U_5341)
& m2_subset_1(U_5341,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5343) ) )
| ~ v1_relat_1(U_5343) ),
inference(variable_rename,[status(thm)],[f_2047_1]) ).
fof(f_2047_3,plain,
! [U_5343] :
( ( ( v1_finseq_1(U_5343)
| ! [U_5342] :
( k1_relat_1(U_5343) != k2_finseq_1(U_5342)
| ~ m2_subset_1(U_5342,k1_numbers,k5_numbers) ) )
& ( ( k1_relat_1(U_5343) = k2_finseq_1(sK659(U_5343))
& m2_subset_1(sK659(U_5343),k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5343) ) )
| ~ v1_relat_1(U_5343) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK659]),skolemize(U_5341,sK659(U_5343))],[f_2047_2]) ).
fof(f_2047_4,plain,
( ! [U_5343] :
( k1_relat_1(U_5343) = k2_finseq_1(sK659(U_5343))
| ~ sP954(U_5343) )
& ! [U_5343] :
( m2_subset_1(sK659(U_5343),k1_numbers,k5_numbers)
| ~ sP954(U_5343) )
& ! [U_5342,U_5343] :
( v1_finseq_1(U_5343)
| k1_relat_1(U_5343) != k2_finseq_1(U_5342)
| ~ m2_subset_1(U_5342,k1_numbers,k5_numbers)
| ~ sP955(U_5342,U_5343) )
& ! [U_5342,U_5343] :
( sP954(U_5343)
| ~ v1_finseq_1(U_5343)
| ~ sP955(U_5342,U_5343) )
& ! [U_5342,U_5343] :
( sP955(U_5342,U_5343)
| ~ v1_relat_1(U_5343) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP954,sP955])],[f_2047_3]) ).
cnf(f_2047_5,plain,
( sP955(U_5342,U_5343)
| ~ v1_relat_1(U_5343) ),
inference(clausify,[status(thm)],[f_2047_4]) ).
cnf(f_2047_6,plain,
( sP954(U_5343)
| ~ v1_finseq_1(U_5343)
| ~ sP955(U_5342,U_5343) ),
inference(clausify,[status(thm)],[f_2047_4]) ).
cnf(f_2047_7,plain,
( v1_finseq_1(U_5343)
| k1_relat_1(U_5343) != k2_finseq_1(U_5342)
| ~ m2_subset_1(U_5342,k1_numbers,k5_numbers)
| ~ sP955(U_5342,U_5343) ),
inference(clausify,[status(thm)],[f_2047_4]) ).
cnf(f_2047_8,plain,
( m2_subset_1(sK659(U_5343),k1_numbers,k5_numbers)
| ~ sP954(U_5343) ),
inference(clausify,[status(thm)],[f_2047_4]) ).
cnf(f_2047_9,plain,
( k1_relat_1(U_5343) = k2_finseq_1(sK659(U_5343))
| ~ sP954(U_5343) ),
inference(clausify,[status(thm)],[f_2047_4]) ).
fof(f_2048_1,plain,
! [A] :
( ! [B] :
( ( ( B = k3_finseq_1(A)
| k2_finseq_1(B) != k1_relat_1(A) )
& ( k2_finseq_1(B) = k1_relat_1(A)
| B != k3_finseq_1(A) ) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d3_finseq_1]) ).
fof(f_2048_2,plain,
! [U_5345] :
( ! [U_5344] :
( ( ( U_5344 = k3_finseq_1(U_5345)
| k2_finseq_1(U_5344) != k1_relat_1(U_5345) )
& ( k2_finseq_1(U_5344) = k1_relat_1(U_5345)
| U_5344 != k3_finseq_1(U_5345) ) )
| ~ m2_subset_1(U_5344,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5345)
| ~ v1_funct_1(U_5345)
| ~ v1_relat_1(U_5345) ),
inference(variable_rename,[status(thm)],[f_2048_1]) ).
fof(f_2048_3,plain,
( ! [U_5344,U_5345] :
( U_5344 = k3_finseq_1(U_5345)
| k2_finseq_1(U_5344) != k1_relat_1(U_5345)
| ~ sP956(U_5344,U_5345) )
& ! [U_5344,U_5345] :
( k2_finseq_1(U_5344) = k1_relat_1(U_5345)
| U_5344 != k3_finseq_1(U_5345)
| ~ sP956(U_5344,U_5345) )
& ! [U_5344,U_5345] :
( sP956(U_5344,U_5345)
| ~ m2_subset_1(U_5344,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5345)
| ~ v1_funct_1(U_5345)
| ~ v1_relat_1(U_5345) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP956])],[f_2048_2]) ).
cnf(f_2048_4,plain,
( sP956(U_5344,U_5345)
| ~ m2_subset_1(U_5344,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5345)
| ~ v1_funct_1(U_5345)
| ~ v1_relat_1(U_5345) ),
inference(clausify,[status(thm)],[f_2048_3]) ).
cnf(f_2048_5,plain,
( k2_finseq_1(U_5344) = k1_relat_1(U_5345)
| U_5344 != k3_finseq_1(U_5345)
| ~ sP956(U_5344,U_5345) ),
inference(clausify,[status(thm)],[f_2048_3]) ).
cnf(f_2048_6,plain,
( U_5344 = k3_finseq_1(U_5345)
| k2_finseq_1(U_5344) != k1_relat_1(U_5345)
| ~ sP956(U_5344,U_5345) ),
inference(clausify,[status(thm)],[f_2048_3]) ).
fof(f_2049_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_finseq_1]) ).
fof(f_2049_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2049_1]) ).
cnf(f_2049_3,plain,
$true,
inference(clausify,[status(thm)],[f_2049_2]) ).
fof(f_2050_1,plain,
( v1_finseq_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[t14_finseq_1]) ).
fof(f_2050_2,plain,
( v1_finseq_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
inference(definitional_conversion,[status(esa)],[f_2050_1]) ).
cnf(f_2050_3,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2050_2]) ).
cnf(f_2050_4,plain,
v1_funct_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2050_2]) ).
cnf(f_2050_5,plain,
v1_finseq_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_2050_2]) ).
fof(f_2051_1,plain,
! [A] :
( ? [B] :
( r1_tarski(A,B)
& v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
| ! [B] :
( ~ r1_tarski(k1_relat_1(A),k2_finseq_1(B))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t15_finseq_1]) ).
fof(f_2051_2,plain,
! [U_5348] :
( ? [U_5347] :
( r1_tarski(U_5348,U_5347)
& v1_finseq_1(U_5347)
& v1_funct_1(U_5347)
& v1_relat_1(U_5347) )
| ! [U_5346] :
( ~ r1_tarski(k1_relat_1(U_5348),k2_finseq_1(U_5346))
| ~ m2_subset_1(U_5346,k1_numbers,k5_numbers) )
| ~ v1_funct_1(U_5348)
| ~ v1_relat_1(U_5348) ),
inference(variable_rename,[status(thm)],[f_2051_1]) ).
fof(f_2051_3,plain,
! [U_5348] :
( ( r1_tarski(U_5348,sK660(U_5348))
& v1_finseq_1(sK660(U_5348))
& v1_funct_1(sK660(U_5348))
& v1_relat_1(sK660(U_5348)) )
| ! [U_5346] :
( ~ r1_tarski(k1_relat_1(U_5348),k2_finseq_1(U_5346))
| ~ m2_subset_1(U_5346,k1_numbers,k5_numbers) )
| ~ v1_funct_1(U_5348)
| ~ v1_relat_1(U_5348) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK660]),skolemize(U_5347,sK660(U_5348))],[f_2051_2]) ).
fof(f_2051_4,plain,
( ! [U_5348] :
( r1_tarski(U_5348,sK660(U_5348))
| ~ sP957(U_5348) )
& ! [U_5348] :
( v1_finseq_1(sK660(U_5348))
| ~ sP957(U_5348) )
& ! [U_5348] :
( v1_funct_1(sK660(U_5348))
| ~ sP957(U_5348) )
& ! [U_5348] :
( v1_relat_1(sK660(U_5348))
| ~ sP957(U_5348) )
& ! [U_5348,U_5346] :
( sP957(U_5348)
| ~ r1_tarski(k1_relat_1(U_5348),k2_finseq_1(U_5346))
| ~ m2_subset_1(U_5346,k1_numbers,k5_numbers)
| ~ v1_funct_1(U_5348)
| ~ v1_relat_1(U_5348) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP957])],[f_2051_3]) ).
cnf(f_2051_5,plain,
( sP957(U_5348)
| ~ r1_tarski(k1_relat_1(U_5348),k2_finseq_1(U_5346))
| ~ m2_subset_1(U_5346,k1_numbers,k5_numbers)
| ~ v1_funct_1(U_5348)
| ~ v1_relat_1(U_5348) ),
inference(clausify,[status(thm)],[f_2051_4]) ).
cnf(f_2051_6,plain,
( v1_relat_1(sK660(U_5348))
| ~ sP957(U_5348) ),
inference(clausify,[status(thm)],[f_2051_4]) ).
cnf(f_2051_7,plain,
( v1_funct_1(sK660(U_5348))
| ~ sP957(U_5348) ),
inference(clausify,[status(thm)],[f_2051_4]) ).
cnf(f_2051_8,plain,
( v1_finseq_1(sK660(U_5348))
| ~ sP957(U_5348) ),
inference(clausify,[status(thm)],[f_2051_4]) ).
cnf(f_2051_9,plain,
( r1_tarski(U_5348,sK660(U_5348))
| ~ sP957(U_5348) ),
inference(clausify,[status(thm)],[f_2051_4]) ).
fof(f_2052_1,plain,
! [A,B] :
( ? [C] :
( A = k4_tarski(C,k1_funct_1(B,C))
& r2_hidden(C,k4_finseq_1(B))
& m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ r2_hidden(A,B)
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t16_finseq_1]) ).
fof(f_2052_2,plain,
! [U_5351,U_5350] :
( ? [U_5349] :
( U_5351 = k4_tarski(U_5349,k1_funct_1(U_5350,U_5349))
& r2_hidden(U_5349,k4_finseq_1(U_5350))
& m2_subset_1(U_5349,k1_numbers,k5_numbers) )
| ~ r2_hidden(U_5351,U_5350)
| ~ v1_finseq_1(U_5350)
| ~ v1_funct_1(U_5350)
| ~ v1_relat_1(U_5350) ),
inference(variable_rename,[status(thm)],[f_2052_1]) ).
fof(f_2052_3,plain,
! [U_5351,U_5350] :
( ( U_5351 = k4_tarski(sK661(U_5351,U_5350),k1_funct_1(U_5350,sK661(U_5351,U_5350)))
& r2_hidden(sK661(U_5351,U_5350),k4_finseq_1(U_5350))
& m2_subset_1(sK661(U_5351,U_5350),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_5351,U_5350)
| ~ v1_finseq_1(U_5350)
| ~ v1_funct_1(U_5350)
| ~ v1_relat_1(U_5350) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK661]),skolemize(U_5349,sK661(U_5351,U_5350))],[f_2052_2]) ).
fof(f_2052_4,plain,
( ! [U_5351,U_5350] :
( U_5351 = k4_tarski(sK661(U_5351,U_5350),k1_funct_1(U_5350,sK661(U_5351,U_5350)))
| ~ sP958(U_5351,U_5350) )
& ! [U_5351,U_5350] :
( r2_hidden(sK661(U_5351,U_5350),k4_finseq_1(U_5350))
| ~ sP958(U_5351,U_5350) )
& ! [U_5351,U_5350] :
( m2_subset_1(sK661(U_5351,U_5350),k1_numbers,k5_numbers)
| ~ sP958(U_5351,U_5350) )
& ! [U_5351,U_5350] :
( sP958(U_5351,U_5350)
| ~ r2_hidden(U_5351,U_5350)
| ~ v1_finseq_1(U_5350)
| ~ v1_funct_1(U_5350)
| ~ v1_relat_1(U_5350) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP958])],[f_2052_3]) ).
cnf(f_2052_5,plain,
( sP958(U_5351,U_5350)
| ~ r2_hidden(U_5351,U_5350)
| ~ v1_finseq_1(U_5350)
| ~ v1_funct_1(U_5350)
| ~ v1_relat_1(U_5350) ),
inference(clausify,[status(thm)],[f_2052_4]) ).
cnf(f_2052_6,plain,
( m2_subset_1(sK661(U_5351,U_5350),k1_numbers,k5_numbers)
| ~ sP958(U_5351,U_5350) ),
inference(clausify,[status(thm)],[f_2052_4]) ).
cnf(f_2052_7,plain,
( r2_hidden(sK661(U_5351,U_5350),k4_finseq_1(U_5350))
| ~ sP958(U_5351,U_5350) ),
inference(clausify,[status(thm)],[f_2052_4]) ).
cnf(f_2052_8,plain,
( U_5351 = k4_tarski(sK661(U_5351,U_5350),k1_funct_1(U_5350,sK661(U_5351,U_5350)))
| ~ sP958(U_5351,U_5350) ),
inference(clausify,[status(thm)],[f_2052_4]) ).
fof(f_2053_1,plain,
! [A] :
( ! [B] :
( A = B
| ? [C] :
( k1_funct_1(A,C) != k1_funct_1(B,C)
& r2_hidden(C,k4_finseq_1(A))
& m2_subset_1(C,k1_numbers,k5_numbers) )
| k4_finseq_1(A) != k4_finseq_1(B)
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t17_finseq_1]) ).
fof(f_2053_2,plain,
! [U_5354] :
( ! [U_5353] :
( U_5354 = U_5353
| ? [U_5352] :
( k1_funct_1(U_5354,U_5352) != k1_funct_1(U_5353,U_5352)
& r2_hidden(U_5352,k4_finseq_1(U_5354))
& m2_subset_1(U_5352,k1_numbers,k5_numbers) )
| k4_finseq_1(U_5354) != k4_finseq_1(U_5353)
| ~ v1_finseq_1(U_5353)
| ~ v1_funct_1(U_5353)
| ~ v1_relat_1(U_5353) )
| ~ v1_finseq_1(U_5354)
| ~ v1_funct_1(U_5354)
| ~ v1_relat_1(U_5354) ),
inference(variable_rename,[status(thm)],[f_2053_1]) ).
fof(f_2053_3,plain,
! [U_5354] :
( ! [U_5353] :
( U_5354 = U_5353
| ( k1_funct_1(U_5354,sK662(U_5354,U_5353)) != k1_funct_1(U_5353,sK662(U_5354,U_5353))
& r2_hidden(sK662(U_5354,U_5353),k4_finseq_1(U_5354))
& m2_subset_1(sK662(U_5354,U_5353),k1_numbers,k5_numbers) )
| k4_finseq_1(U_5354) != k4_finseq_1(U_5353)
| ~ v1_finseq_1(U_5353)
| ~ v1_funct_1(U_5353)
| ~ v1_relat_1(U_5353) )
| ~ v1_finseq_1(U_5354)
| ~ v1_funct_1(U_5354)
| ~ v1_relat_1(U_5354) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK662]),skolemize(U_5352,sK662(U_5354,U_5353))],[f_2053_2]) ).
fof(f_2053_4,plain,
( ! [U_5353,U_5354] :
( k1_funct_1(U_5354,sK662(U_5354,U_5353)) != k1_funct_1(U_5353,sK662(U_5354,U_5353))
| ~ sP959(U_5353,U_5354) )
& ! [U_5353,U_5354] :
( r2_hidden(sK662(U_5354,U_5353),k4_finseq_1(U_5354))
| ~ sP959(U_5353,U_5354) )
& ! [U_5353,U_5354] :
( m2_subset_1(sK662(U_5354,U_5353),k1_numbers,k5_numbers)
| ~ sP959(U_5353,U_5354) )
& ! [U_5353,U_5354] :
( U_5354 = U_5353
| sP959(U_5353,U_5354)
| k4_finseq_1(U_5354) != k4_finseq_1(U_5353)
| ~ v1_finseq_1(U_5353)
| ~ v1_funct_1(U_5353)
| ~ v1_relat_1(U_5353)
| ~ v1_finseq_1(U_5354)
| ~ v1_funct_1(U_5354)
| ~ v1_relat_1(U_5354) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP959])],[f_2053_3]) ).
cnf(f_2053_5,plain,
( U_5354 = U_5353
| sP959(U_5353,U_5354)
| k4_finseq_1(U_5354) != k4_finseq_1(U_5353)
| ~ v1_finseq_1(U_5353)
| ~ v1_funct_1(U_5353)
| ~ v1_relat_1(U_5353)
| ~ v1_finseq_1(U_5354)
| ~ v1_funct_1(U_5354)
| ~ v1_relat_1(U_5354) ),
inference(clausify,[status(thm)],[f_2053_4]) ).
cnf(f_2053_6,plain,
( m2_subset_1(sK662(U_5354,U_5353),k1_numbers,k5_numbers)
| ~ sP959(U_5353,U_5354) ),
inference(clausify,[status(thm)],[f_2053_4]) ).
cnf(f_2053_7,plain,
( r2_hidden(sK662(U_5354,U_5353),k4_finseq_1(U_5354))
| ~ sP959(U_5353,U_5354) ),
inference(clausify,[status(thm)],[f_2053_4]) ).
cnf(f_2053_8,plain,
( k1_funct_1(U_5354,sK662(U_5354,U_5353)) != k1_funct_1(U_5353,sK662(U_5354,U_5353))
| ~ sP959(U_5353,U_5354) ),
inference(clausify,[status(thm)],[f_2053_4]) ).
fof(f_2054_1,plain,
! [A] :
( ! [B] :
( A = B
| ? [C] :
( k1_funct_1(A,C) != k1_funct_1(B,C)
& r1_xreal_0(C,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& m2_subset_1(C,k1_numbers,k5_numbers) )
| k3_finseq_1(A) != k3_finseq_1(B)
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t18_finseq_1]) ).
fof(f_2054_2,plain,
! [U_5357] :
( ! [U_5356] :
( U_5357 = U_5356
| ? [U_5355] :
( k1_funct_1(U_5357,U_5355) != k1_funct_1(U_5356,U_5355)
& r1_xreal_0(U_5355,k3_finseq_1(U_5357))
& r1_xreal_0(np__1,U_5355)
& m2_subset_1(U_5355,k1_numbers,k5_numbers) )
| k3_finseq_1(U_5357) != k3_finseq_1(U_5356)
| ~ v1_finseq_1(U_5356)
| ~ v1_funct_1(U_5356)
| ~ v1_relat_1(U_5356) )
| ~ v1_finseq_1(U_5357)
| ~ v1_funct_1(U_5357)
| ~ v1_relat_1(U_5357) ),
inference(variable_rename,[status(thm)],[f_2054_1]) ).
fof(f_2054_3,plain,
! [U_5357] :
( ! [U_5356] :
( U_5357 = U_5356
| ( k1_funct_1(U_5357,sK663(U_5357,U_5356)) != k1_funct_1(U_5356,sK663(U_5357,U_5356))
& r1_xreal_0(sK663(U_5357,U_5356),k3_finseq_1(U_5357))
& r1_xreal_0(np__1,sK663(U_5357,U_5356))
& m2_subset_1(sK663(U_5357,U_5356),k1_numbers,k5_numbers) )
| k3_finseq_1(U_5357) != k3_finseq_1(U_5356)
| ~ v1_finseq_1(U_5356)
| ~ v1_funct_1(U_5356)
| ~ v1_relat_1(U_5356) )
| ~ v1_finseq_1(U_5357)
| ~ v1_funct_1(U_5357)
| ~ v1_relat_1(U_5357) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK663]),skolemize(U_5355,sK663(U_5357,U_5356))],[f_2054_2]) ).
fof(f_2054_4,plain,
( ! [U_5356,U_5357] :
( k1_funct_1(U_5357,sK663(U_5357,U_5356)) != k1_funct_1(U_5356,sK663(U_5357,U_5356))
| ~ sP960(U_5356,U_5357) )
& ! [U_5356,U_5357] :
( r1_xreal_0(sK663(U_5357,U_5356),k3_finseq_1(U_5357))
| ~ sP960(U_5356,U_5357) )
& ! [U_5356,U_5357] :
( r1_xreal_0(np__1,sK663(U_5357,U_5356))
| ~ sP960(U_5356,U_5357) )
& ! [U_5356,U_5357] :
( m2_subset_1(sK663(U_5357,U_5356),k1_numbers,k5_numbers)
| ~ sP960(U_5356,U_5357) )
& ! [U_5356,U_5357] :
( U_5357 = U_5356
| sP960(U_5356,U_5357)
| k3_finseq_1(U_5357) != k3_finseq_1(U_5356)
| ~ v1_finseq_1(U_5356)
| ~ v1_funct_1(U_5356)
| ~ v1_relat_1(U_5356)
| ~ v1_finseq_1(U_5357)
| ~ v1_funct_1(U_5357)
| ~ v1_relat_1(U_5357) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP960])],[f_2054_3]) ).
cnf(f_2054_5,plain,
( U_5357 = U_5356
| sP960(U_5356,U_5357)
| k3_finseq_1(U_5357) != k3_finseq_1(U_5356)
| ~ v1_finseq_1(U_5356)
| ~ v1_funct_1(U_5356)
| ~ v1_relat_1(U_5356)
| ~ v1_finseq_1(U_5357)
| ~ v1_funct_1(U_5357)
| ~ v1_relat_1(U_5357) ),
inference(clausify,[status(thm)],[f_2054_4]) ).
cnf(f_2054_6,plain,
( m2_subset_1(sK663(U_5357,U_5356),k1_numbers,k5_numbers)
| ~ sP960(U_5356,U_5357) ),
inference(clausify,[status(thm)],[f_2054_4]) ).
cnf(f_2054_7,plain,
( r1_xreal_0(np__1,sK663(U_5357,U_5356))
| ~ sP960(U_5356,U_5357) ),
inference(clausify,[status(thm)],[f_2054_4]) ).
cnf(f_2054_8,plain,
( r1_xreal_0(sK663(U_5357,U_5356),k3_finseq_1(U_5357))
| ~ sP960(U_5356,U_5357) ),
inference(clausify,[status(thm)],[f_2054_4]) ).
cnf(f_2054_9,plain,
( k1_funct_1(U_5357,sK663(U_5357,U_5356)) != k1_funct_1(U_5356,sK663(U_5357,U_5356))
| ~ sP960(U_5356,U_5357) ),
inference(clausify,[status(thm)],[f_2054_4]) ).
fof(f_2055_1,plain,
! [A] :
( ! [B] :
( ( v1_finseq_1(k7_relat_1(B,k2_finseq_1(A)))
& v1_funct_1(k7_relat_1(B,k2_finseq_1(A)))
& v1_relat_1(k7_relat_1(B,k2_finseq_1(A))) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t19_finseq_1]) ).
fof(f_2055_2,plain,
! [U_5359] :
( ! [U_5358] :
( ( v1_finseq_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
& v1_funct_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
& v1_relat_1(k7_relat_1(U_5358,k2_finseq_1(U_5359))) )
| ~ v1_finseq_1(U_5358)
| ~ v1_funct_1(U_5358)
| ~ v1_relat_1(U_5358) )
| ~ v4_ordinal2(U_5359) ),
inference(variable_rename,[status(thm)],[f_2055_1]) ).
fof(f_2055_3,plain,
( ! [U_5359,U_5358] :
( v1_finseq_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
| ~ sP961(U_5359,U_5358) )
& ! [U_5359,U_5358] :
( v1_funct_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
| ~ sP961(U_5359,U_5358) )
& ! [U_5359,U_5358] :
( v1_relat_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
| ~ sP961(U_5359,U_5358) )
& ! [U_5359,U_5358] :
( sP961(U_5359,U_5358)
| ~ v1_finseq_1(U_5358)
| ~ v1_funct_1(U_5358)
| ~ v1_relat_1(U_5358)
| ~ v4_ordinal2(U_5359) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP961])],[f_2055_2]) ).
cnf(f_2055_4,plain,
( sP961(U_5359,U_5358)
| ~ v1_finseq_1(U_5358)
| ~ v1_funct_1(U_5358)
| ~ v1_relat_1(U_5358)
| ~ v4_ordinal2(U_5359) ),
inference(clausify,[status(thm)],[f_2055_3]) ).
cnf(f_2055_5,plain,
( v1_relat_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
| ~ sP961(U_5359,U_5358) ),
inference(clausify,[status(thm)],[f_2055_3]) ).
cnf(f_2055_6,plain,
( v1_funct_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
| ~ sP961(U_5359,U_5358) ),
inference(clausify,[status(thm)],[f_2055_3]) ).
cnf(f_2055_7,plain,
( v1_finseq_1(k7_relat_1(U_5358,k2_finseq_1(U_5359)))
| ~ sP961(U_5359,U_5358) ),
inference(clausify,[status(thm)],[f_2055_3]) ).
fof(f_2056_1,plain,
! [A] :
( ! [B] :
( ( v1_finseq_1(k5_relat_1(B,A))
& v1_funct_1(k5_relat_1(B,A))
& v1_relat_1(k5_relat_1(B,A)) )
| ~ r1_tarski(k2_relat_1(B),k1_relat_1(A))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t20_finseq_1]) ).
fof(f_2056_2,plain,
! [U_5361] :
( ! [U_5360] :
( ( v1_finseq_1(k5_relat_1(U_5360,U_5361))
& v1_funct_1(k5_relat_1(U_5360,U_5361))
& v1_relat_1(k5_relat_1(U_5360,U_5361)) )
| ~ r1_tarski(k2_relat_1(U_5360),k1_relat_1(U_5361))
| ~ v1_finseq_1(U_5360)
| ~ v1_funct_1(U_5360)
| ~ v1_relat_1(U_5360) )
| ~ v1_funct_1(U_5361)
| ~ v1_relat_1(U_5361) ),
inference(variable_rename,[status(thm)],[f_2056_1]) ).
fof(f_2056_3,plain,
( ! [U_5360,U_5361] :
( v1_finseq_1(k5_relat_1(U_5360,U_5361))
| ~ sP962(U_5360,U_5361) )
& ! [U_5360,U_5361] :
( v1_funct_1(k5_relat_1(U_5360,U_5361))
| ~ sP962(U_5360,U_5361) )
& ! [U_5360,U_5361] :
( v1_relat_1(k5_relat_1(U_5360,U_5361))
| ~ sP962(U_5360,U_5361) )
& ! [U_5360,U_5361] :
( sP962(U_5360,U_5361)
| ~ r1_tarski(k2_relat_1(U_5360),k1_relat_1(U_5361))
| ~ v1_finseq_1(U_5360)
| ~ v1_funct_1(U_5360)
| ~ v1_relat_1(U_5360)
| ~ v1_funct_1(U_5361)
| ~ v1_relat_1(U_5361) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP962])],[f_2056_2]) ).
cnf(f_2056_4,plain,
( sP962(U_5360,U_5361)
| ~ r1_tarski(k2_relat_1(U_5360),k1_relat_1(U_5361))
| ~ v1_finseq_1(U_5360)
| ~ v1_funct_1(U_5360)
| ~ v1_relat_1(U_5360)
| ~ v1_funct_1(U_5361)
| ~ v1_relat_1(U_5361) ),
inference(clausify,[status(thm)],[f_2056_3]) ).
cnf(f_2056_5,plain,
( v1_relat_1(k5_relat_1(U_5360,U_5361))
| ~ sP962(U_5360,U_5361) ),
inference(clausify,[status(thm)],[f_2056_3]) ).
cnf(f_2056_6,plain,
( v1_funct_1(k5_relat_1(U_5360,U_5361))
| ~ sP962(U_5360,U_5361) ),
inference(clausify,[status(thm)],[f_2056_3]) ).
cnf(f_2056_7,plain,
( v1_finseq_1(k5_relat_1(U_5360,U_5361))
| ~ sP962(U_5360,U_5361) ),
inference(clausify,[status(thm)],[f_2056_3]) ).
fof(f_2057_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k4_finseq_1(C) = k2_finseq_1(A)
& k3_finseq_1(C) = A )
| C != k7_relat_1(B,k2_finseq_1(A))
| ~ r1_xreal_0(A,k3_finseq_1(B))
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t21_finseq_1]) ).
fof(f_2057_2,plain,
! [U_5364] :
( ! [U_5363] :
( ! [U_5362] :
( ( k4_finseq_1(U_5362) = k2_finseq_1(U_5364)
& k3_finseq_1(U_5362) = U_5364 )
| U_5362 != k7_relat_1(U_5363,k2_finseq_1(U_5364))
| ~ r1_xreal_0(U_5364,k3_finseq_1(U_5363))
| ~ v1_finseq_1(U_5362)
| ~ v1_funct_1(U_5362)
| ~ v1_relat_1(U_5362) )
| ~ v1_finseq_1(U_5363)
| ~ v1_funct_1(U_5363)
| ~ v1_relat_1(U_5363) )
| ~ v4_ordinal2(U_5364) ),
inference(variable_rename,[status(thm)],[f_2057_1]) ).
fof(f_2057_3,plain,
( ! [U_5362,U_5364] :
( k4_finseq_1(U_5362) = k2_finseq_1(U_5364)
| ~ sP963(U_5362,U_5364) )
& ! [U_5362,U_5364] :
( k3_finseq_1(U_5362) = U_5364
| ~ sP963(U_5362,U_5364) )
& ! [U_5362,U_5363,U_5364] :
( sP963(U_5362,U_5364)
| U_5362 != k7_relat_1(U_5363,k2_finseq_1(U_5364))
| ~ r1_xreal_0(U_5364,k3_finseq_1(U_5363))
| ~ v1_finseq_1(U_5362)
| ~ v1_funct_1(U_5362)
| ~ v1_relat_1(U_5362)
| ~ v1_finseq_1(U_5363)
| ~ v1_funct_1(U_5363)
| ~ v1_relat_1(U_5363)
| ~ v4_ordinal2(U_5364) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP963])],[f_2057_2]) ).
cnf(f_2057_4,plain,
( sP963(U_5362,U_5364)
| U_5362 != k7_relat_1(U_5363,k2_finseq_1(U_5364))
| ~ r1_xreal_0(U_5364,k3_finseq_1(U_5363))
| ~ v1_finseq_1(U_5362)
| ~ v1_funct_1(U_5362)
| ~ v1_relat_1(U_5362)
| ~ v1_finseq_1(U_5363)
| ~ v1_funct_1(U_5363)
| ~ v1_relat_1(U_5363)
| ~ v4_ordinal2(U_5364) ),
inference(clausify,[status(thm)],[f_2057_3]) ).
cnf(f_2057_5,plain,
( k3_finseq_1(U_5362) = U_5364
| ~ sP963(U_5362,U_5364) ),
inference(clausify,[status(thm)],[f_2057_3]) ).
cnf(f_2057_6,plain,
( k4_finseq_1(U_5362) = k2_finseq_1(U_5364)
| ~ sP963(U_5362,U_5364) ),
inference(clausify,[status(thm)],[f_2057_3]) ).
fof(f_2058_1,plain,
! [A,B] :
( ( ( m1_finseq_1(B,A)
| ~ r1_tarski(k2_relat_1(B),A) )
& ( r1_tarski(k2_relat_1(B),A)
| ~ m1_finseq_1(B,A) ) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[d4_finseq_1]) ).
fof(f_2058_2,plain,
! [U_5366,U_5365] :
( ( ( m1_finseq_1(U_5365,U_5366)
| ~ r1_tarski(k2_relat_1(U_5365),U_5366) )
& ( r1_tarski(k2_relat_1(U_5365),U_5366)
| ~ m1_finseq_1(U_5365,U_5366) ) )
| ~ v1_finseq_1(U_5365)
| ~ v1_funct_1(U_5365)
| ~ v1_relat_1(U_5365) ),
inference(variable_rename,[status(thm)],[f_2058_1]) ).
fof(f_2058_3,plain,
( ! [U_5366,U_5365] :
( m1_finseq_1(U_5365,U_5366)
| ~ r1_tarski(k2_relat_1(U_5365),U_5366)
| ~ sP964(U_5366,U_5365) )
& ! [U_5366,U_5365] :
( r1_tarski(k2_relat_1(U_5365),U_5366)
| ~ m1_finseq_1(U_5365,U_5366)
| ~ sP964(U_5366,U_5365) )
& ! [U_5366,U_5365] :
( sP964(U_5366,U_5365)
| ~ v1_finseq_1(U_5365)
| ~ v1_funct_1(U_5365)
| ~ v1_relat_1(U_5365) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP964])],[f_2058_2]) ).
cnf(f_2058_4,plain,
( sP964(U_5366,U_5365)
| ~ v1_finseq_1(U_5365)
| ~ v1_funct_1(U_5365)
| ~ v1_relat_1(U_5365) ),
inference(clausify,[status(thm)],[f_2058_3]) ).
cnf(f_2058_5,plain,
( r1_tarski(k2_relat_1(U_5365),U_5366)
| ~ m1_finseq_1(U_5365,U_5366)
| ~ sP964(U_5366,U_5365) ),
inference(clausify,[status(thm)],[f_2058_3]) ).
cnf(f_2058_6,plain,
( m1_finseq_1(U_5365,U_5366)
| ~ r1_tarski(k2_relat_1(U_5365),U_5366)
| ~ sP964(U_5366,U_5365) ),
inference(clausify,[status(thm)],[f_2058_3]) ).
fof(f_2059_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t22_finseq_1]) ).
fof(f_2059_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2059_1]) ).
cnf(f_2059_3,plain,
$true,
inference(clausify,[status(thm)],[f_2059_2]) ).
fof(f_2060_1,plain,
! [A] :
( ! [B,C] :
( m2_finseq_1(k7_relat_1(C,k2_finseq_1(A)),B)
| ~ m2_finseq_1(C,B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t23_finseq_1]) ).
fof(f_2060_2,plain,
! [U_5369] :
( ! [U_5368,U_5367] :
( m2_finseq_1(k7_relat_1(U_5367,k2_finseq_1(U_5369)),U_5368)
| ~ m2_finseq_1(U_5367,U_5368) )
| ~ v4_ordinal2(U_5369) ),
inference(variable_rename,[status(thm)],[f_2060_1]) ).
fof(f_2060_3,plain,
! [U_5368,U_5369,U_5367] :
( m2_finseq_1(k7_relat_1(U_5367,k2_finseq_1(U_5369)),U_5368)
| ~ m2_finseq_1(U_5367,U_5368)
| ~ v4_ordinal2(U_5369) ),
inference(definitional_conversion,[status(esa)],[f_2060_2]) ).
cnf(f_2060_4,plain,
( m2_finseq_1(k7_relat_1(U_5367,k2_finseq_1(U_5369)),U_5368)
| ~ m2_finseq_1(U_5367,U_5368)
| ~ v4_ordinal2(U_5369) ),
inference(clausify,[status(thm)],[f_2060_3]) ).
fof(f_2061_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( k3_finseq_1(C) = A
& m2_finseq_1(C,B) )
| v1_xboole_0(B) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[t24_finseq_1]) ).
fof(f_2061_2,plain,
! [U_5372] :
( ! [U_5371] :
( ? [U_5370] :
( k3_finseq_1(U_5370) = U_5372
& m2_finseq_1(U_5370,U_5371) )
| v1_xboole_0(U_5371) )
| ~ v4_ordinal2(U_5372) ),
inference(variable_rename,[status(thm)],[f_2061_1]) ).
fof(f_2061_3,plain,
! [U_5372] :
( ! [U_5371] :
( ( k3_finseq_1(sK664(U_5372,U_5371)) = U_5372
& m2_finseq_1(sK664(U_5372,U_5371),U_5371) )
| v1_xboole_0(U_5371) )
| ~ v4_ordinal2(U_5372) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK664]),skolemize(U_5370,sK664(U_5372,U_5371))],[f_2061_2]) ).
fof(f_2061_4,plain,
( ! [U_5372,U_5371] :
( k3_finseq_1(sK664(U_5372,U_5371)) = U_5372
| ~ sP965(U_5372,U_5371) )
& ! [U_5372,U_5371] :
( m2_finseq_1(sK664(U_5372,U_5371),U_5371)
| ~ sP965(U_5372,U_5371) )
& ! [U_5372,U_5371] :
( sP965(U_5372,U_5371)
| v1_xboole_0(U_5371)
| ~ v4_ordinal2(U_5372) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP965])],[f_2061_3]) ).
cnf(f_2061_5,plain,
( sP965(U_5372,U_5371)
| v1_xboole_0(U_5371)
| ~ v4_ordinal2(U_5372) ),
inference(clausify,[status(thm)],[f_2061_4]) ).
cnf(f_2061_6,plain,
( m2_finseq_1(sK664(U_5372,U_5371),U_5371)
| ~ sP965(U_5372,U_5371) ),
inference(clausify,[status(thm)],[f_2061_4]) ).
cnf(f_2061_7,plain,
( k3_finseq_1(sK664(U_5372,U_5371)) = U_5372
| ~ sP965(U_5372,U_5371) ),
inference(clausify,[status(thm)],[f_2061_4]) ).
fof(f_2062_1,plain,
! [A] :
( ( ( k3_finseq_1(A) = np__0
| A != k1_xboole_0 )
& ( A = k1_xboole_0
| k3_finseq_1(A) != np__0 ) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t25_finseq_1]) ).
fof(f_2062_2,plain,
! [U_5373] :
( ( ( k3_finseq_1(U_5373) = np__0
| U_5373 != k1_xboole_0 )
& ( U_5373 = k1_xboole_0
| k3_finseq_1(U_5373) != np__0 ) )
| ~ v1_finseq_1(U_5373)
| ~ v1_funct_1(U_5373)
| ~ v1_relat_1(U_5373) ),
inference(variable_rename,[status(thm)],[f_2062_1]) ).
fof(f_2062_3,plain,
( ! [U_5373] :
( k3_finseq_1(U_5373) = np__0
| U_5373 != k1_xboole_0
| ~ sP966(U_5373) )
& ! [U_5373] :
( U_5373 = k1_xboole_0
| k3_finseq_1(U_5373) != np__0
| ~ sP966(U_5373) )
& ! [U_5373] :
( sP966(U_5373)
| ~ v1_finseq_1(U_5373)
| ~ v1_funct_1(U_5373)
| ~ v1_relat_1(U_5373) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP966])],[f_2062_2]) ).
cnf(f_2062_4,plain,
( sP966(U_5373)
| ~ v1_finseq_1(U_5373)
| ~ v1_funct_1(U_5373)
| ~ v1_relat_1(U_5373) ),
inference(clausify,[status(thm)],[f_2062_3]) ).
cnf(f_2062_5,plain,
( U_5373 = k1_xboole_0
| k3_finseq_1(U_5373) != np__0
| ~ sP966(U_5373) ),
inference(clausify,[status(thm)],[f_2062_3]) ).
cnf(f_2062_6,plain,
( k3_finseq_1(U_5373) = np__0
| U_5373 != k1_xboole_0
| ~ sP966(U_5373) ),
inference(clausify,[status(thm)],[f_2062_3]) ).
fof(f_2063_1,plain,
! [A] :
( ( ( A = k1_xboole_0
| k4_finseq_1(A) != k1_xboole_0 )
& ( k4_finseq_1(A) = k1_xboole_0
| A != k1_xboole_0 ) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t26_finseq_1]) ).
fof(f_2063_2,plain,
! [U_5374] :
( ( ( U_5374 = k1_xboole_0
| k4_finseq_1(U_5374) != k1_xboole_0 )
& ( k4_finseq_1(U_5374) = k1_xboole_0
| U_5374 != k1_xboole_0 ) )
| ~ v1_finseq_1(U_5374)
| ~ v1_funct_1(U_5374)
| ~ v1_relat_1(U_5374) ),
inference(variable_rename,[status(thm)],[f_2063_1]) ).
fof(f_2063_3,plain,
( ! [U_5374] :
( U_5374 = k1_xboole_0
| k4_finseq_1(U_5374) != k1_xboole_0
| ~ sP967(U_5374) )
& ! [U_5374] :
( k4_finseq_1(U_5374) = k1_xboole_0
| U_5374 != k1_xboole_0
| ~ sP967(U_5374) )
& ! [U_5374] :
( sP967(U_5374)
| ~ v1_finseq_1(U_5374)
| ~ v1_funct_1(U_5374)
| ~ v1_relat_1(U_5374) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP967])],[f_2063_2]) ).
cnf(f_2063_4,plain,
( sP967(U_5374)
| ~ v1_finseq_1(U_5374)
| ~ v1_funct_1(U_5374)
| ~ v1_relat_1(U_5374) ),
inference(clausify,[status(thm)],[f_2063_3]) ).
cnf(f_2063_5,plain,
( k4_finseq_1(U_5374) = k1_xboole_0
| U_5374 != k1_xboole_0
| ~ sP967(U_5374) ),
inference(clausify,[status(thm)],[f_2063_3]) ).
cnf(f_2063_6,plain,
( U_5374 = k1_xboole_0
| k4_finseq_1(U_5374) != k1_xboole_0
| ~ sP967(U_5374) ),
inference(clausify,[status(thm)],[f_2063_3]) ).
fof(f_2064_1,plain,
! [A] :
( ( ( A = k1_xboole_0
| k2_relat_1(A) != k1_xboole_0 )
& ( k2_relat_1(A) = k1_xboole_0
| A != k1_xboole_0 ) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t27_finseq_1]) ).
fof(f_2064_2,plain,
! [U_5375] :
( ( ( U_5375 = k1_xboole_0
| k2_relat_1(U_5375) != k1_xboole_0 )
& ( k2_relat_1(U_5375) = k1_xboole_0
| U_5375 != k1_xboole_0 ) )
| ~ v1_finseq_1(U_5375)
| ~ v1_funct_1(U_5375)
| ~ v1_relat_1(U_5375) ),
inference(variable_rename,[status(thm)],[f_2064_1]) ).
fof(f_2064_3,plain,
( ! [U_5375] :
( U_5375 = k1_xboole_0
| k2_relat_1(U_5375) != k1_xboole_0
| ~ sP968(U_5375) )
& ! [U_5375] :
( k2_relat_1(U_5375) = k1_xboole_0
| U_5375 != k1_xboole_0
| ~ sP968(U_5375) )
& ! [U_5375] :
( sP968(U_5375)
| ~ v1_finseq_1(U_5375)
| ~ v1_funct_1(U_5375)
| ~ v1_relat_1(U_5375) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP968])],[f_2064_2]) ).
cnf(f_2064_4,plain,
( sP968(U_5375)
| ~ v1_finseq_1(U_5375)
| ~ v1_funct_1(U_5375)
| ~ v1_relat_1(U_5375) ),
inference(clausify,[status(thm)],[f_2064_3]) ).
cnf(f_2064_5,plain,
( k2_relat_1(U_5375) = k1_xboole_0
| U_5375 != k1_xboole_0
| ~ sP968(U_5375) ),
inference(clausify,[status(thm)],[f_2064_3]) ).
cnf(f_2064_6,plain,
( U_5375 = k1_xboole_0
| k2_relat_1(U_5375) != k1_xboole_0
| ~ sP968(U_5375) ),
inference(clausify,[status(thm)],[f_2064_3]) ).
fof(f_2065_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_finseq_1]) ).
fof(f_2065_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2065_1]) ).
cnf(f_2065_3,plain,
$true,
inference(clausify,[status(thm)],[f_2065_2]) ).
fof(f_2066_1,plain,
! [A] : m2_finseq_1(k1_xboole_0,A),
inference(fof_nnf,[status(thm)],[t29_finseq_1]) ).
fof(f_2066_2,plain,
! [U_5376] : m2_finseq_1(k1_xboole_0,U_5376),
inference(variable_rename,[status(thm)],[f_2066_1]) ).
fof(f_2066_3,plain,
! [U_5376] : m2_finseq_1(k1_xboole_0,U_5376),
inference(definitional_conversion,[status(esa)],[f_2066_2]) ).
cnf(f_2066_4,plain,
m2_finseq_1(k1_xboole_0,U_5376),
inference(clausify,[status(thm)],[f_2066_3]) ).
fof(f_2067_1,plain,
! [A] : k5_finseq_1(A) = k1_tarski(k4_tarski(np__1,A)),
inference(fof_nnf,[status(thm)],[d5_finseq_1]) ).
fof(f_2067_2,plain,
! [U_5377] : k5_finseq_1(U_5377) = k1_tarski(k4_tarski(np__1,U_5377)),
inference(variable_rename,[status(thm)],[f_2067_1]) ).
fof(f_2067_3,plain,
! [U_5377] : k5_finseq_1(U_5377) = k1_tarski(k4_tarski(np__1,U_5377)),
inference(definitional_conversion,[status(esa)],[f_2067_2]) ).
cnf(f_2067_4,plain,
k5_finseq_1(U_5377) = k1_tarski(k4_tarski(np__1,U_5377)),
inference(clausify,[status(thm)],[f_2067_3]) ).
fof(f_2068_1,plain,
! [A] : k6_finseq_1(A) = k1_xboole_0,
inference(fof_nnf,[status(thm)],[d6_finseq_1]) ).
fof(f_2068_2,plain,
! [U_5378] : k6_finseq_1(U_5378) = k1_xboole_0,
inference(variable_rename,[status(thm)],[f_2068_1]) ).
fof(f_2068_3,plain,
! [U_5378] : k6_finseq_1(U_5378) = k1_xboole_0,
inference(definitional_conversion,[status(esa)],[f_2068_2]) ).
cnf(f_2068_4,plain,
k6_finseq_1(U_5378) = k1_xboole_0,
inference(clausify,[status(thm)],[f_2068_3]) ).
fof(f_2069_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_finseq_1]) ).
fof(f_2069_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2069_1]) ).
cnf(f_2069_3,plain,
$true,
inference(clausify,[status(thm)],[f_2069_2]) ).
fof(f_2070_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_finseq_1]) ).
fof(f_2070_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2070_1]) ).
cnf(f_2070_3,plain,
$true,
inference(clausify,[status(thm)],[f_2070_2]) ).
fof(f_2071_1,plain,
! [A] :
( ! [B] :
( ( A = k6_finseq_1(B)
| k3_finseq_1(A) != np__0 )
& ( k3_finseq_1(A) = np__0
| A != k6_finseq_1(B) ) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t32_finseq_1]) ).
fof(f_2071_2,plain,
! [U_5380] :
( ! [U_5379] :
( ( U_5380 = k6_finseq_1(U_5379)
| k3_finseq_1(U_5380) != np__0 )
& ( k3_finseq_1(U_5380) = np__0
| U_5380 != k6_finseq_1(U_5379) ) )
| ~ v1_finseq_1(U_5380)
| ~ v1_funct_1(U_5380)
| ~ v1_relat_1(U_5380) ),
inference(variable_rename,[status(thm)],[f_2071_1]) ).
fof(f_2071_3,plain,
! [U_5380] :
( ( ( ! [U_5382] : U_5380 = k6_finseq_1(U_5382)
| k3_finseq_1(U_5380) != np__0 )
& ( ! [U_5381] : U_5380 != k6_finseq_1(U_5381)
| k3_finseq_1(U_5380) = np__0 ) )
| ~ v1_finseq_1(U_5380)
| ~ v1_funct_1(U_5380)
| ~ v1_relat_1(U_5380) ),
inference(miniscope,[status(thm)],[f_2071_2]) ).
fof(f_2071_4,plain,
( ! [U_5380,U_5381,U_5382] :
( U_5380 = k6_finseq_1(U_5382)
| k3_finseq_1(U_5380) != np__0
| ~ sP969(U_5380,U_5381,U_5382) )
& ! [U_5380,U_5381,U_5382] :
( U_5380 != k6_finseq_1(U_5381)
| k3_finseq_1(U_5380) = np__0
| ~ sP969(U_5380,U_5381,U_5382) )
& ! [U_5380,U_5381,U_5382] :
( sP969(U_5380,U_5381,U_5382)
| ~ v1_finseq_1(U_5380)
| ~ v1_funct_1(U_5380)
| ~ v1_relat_1(U_5380) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP969])],[f_2071_3]) ).
cnf(f_2071_5,plain,
( sP969(U_5380,U_5381,U_5382)
| ~ v1_finseq_1(U_5380)
| ~ v1_funct_1(U_5380)
| ~ v1_relat_1(U_5380) ),
inference(clausify,[status(thm)],[f_2071_4]) ).
cnf(f_2071_6,plain,
( U_5380 != k6_finseq_1(U_5381)
| k3_finseq_1(U_5380) = np__0
| ~ sP969(U_5380,U_5381,U_5382) ),
inference(clausify,[status(thm)],[f_2071_4]) ).
cnf(f_2071_7,plain,
( U_5380 = k6_finseq_1(U_5382)
| k3_finseq_1(U_5380) != np__0
| ~ sP969(U_5380,U_5381,U_5382) ),
inference(clausify,[status(thm)],[f_2071_4]) ).
fof(f_2072_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k7_finseq_1(A,B)
| ? [D] :
( k1_funct_1(C,k1_nat_1(k3_finseq_1(A),D)) != k1_funct_1(B,D)
& r2_hidden(D,k4_finseq_1(B))
& m2_subset_1(D,k1_numbers,k5_numbers) )
| ? [D] :
( k1_funct_1(C,D) != k1_funct_1(A,D)
& r2_hidden(D,k4_finseq_1(A))
& m2_subset_1(D,k1_numbers,k5_numbers) )
| k4_finseq_1(C) != k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) )
& ( ( ! [D] :
( k1_funct_1(C,k1_nat_1(k3_finseq_1(A),D)) = k1_funct_1(B,D)
| ~ r2_hidden(D,k4_finseq_1(B))
| ~ m2_subset_1(D,k1_numbers,k5_numbers) )
& ! [D] :
( k1_funct_1(C,D) = k1_funct_1(A,D)
| ~ r2_hidden(D,k4_finseq_1(A))
| ~ m2_subset_1(D,k1_numbers,k5_numbers) )
& k4_finseq_1(C) = k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) )
| C != k7_finseq_1(A,B) ) )
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d7_finseq_1]) ).
fof(f_2072_2,plain,
! [U_5389] :
( ! [U_5388] :
( ! [U_5387] :
( ( ( U_5387 = k7_finseq_1(U_5389,U_5388)
| ? [U_5386] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5386)) != k1_funct_1(U_5388,U_5386)
& r2_hidden(U_5386,k4_finseq_1(U_5388))
& m2_subset_1(U_5386,k1_numbers,k5_numbers) )
| ? [U_5385] :
( k1_funct_1(U_5387,U_5385) != k1_funct_1(U_5389,U_5385)
& r2_hidden(U_5385,k4_finseq_1(U_5389))
& m2_subset_1(U_5385,k1_numbers,k5_numbers) )
| k4_finseq_1(U_5387) != k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388))) )
& ( ( ! [U_5384] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5384)) = k1_funct_1(U_5388,U_5384)
| ~ r2_hidden(U_5384,k4_finseq_1(U_5388))
| ~ m2_subset_1(U_5384,k1_numbers,k5_numbers) )
& ! [U_5383] :
( k1_funct_1(U_5387,U_5383) = k1_funct_1(U_5389,U_5383)
| ~ r2_hidden(U_5383,k4_finseq_1(U_5389))
| ~ m2_subset_1(U_5383,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5387) = k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388))) )
| U_5387 != k7_finseq_1(U_5389,U_5388) ) )
| ~ v1_finseq_1(U_5387)
| ~ v1_funct_1(U_5387)
| ~ v1_relat_1(U_5387) )
| ~ v1_finseq_1(U_5388)
| ~ v1_funct_1(U_5388)
| ~ v1_relat_1(U_5388) )
| ~ v1_finseq_1(U_5389)
| ~ v1_funct_1(U_5389)
| ~ v1_relat_1(U_5389) ),
inference(variable_rename,[status(thm)],[f_2072_1]) ).
fof(f_2072_3,plain,
! [U_5389] :
( ! [U_5388] :
( ! [U_5387] :
( ( ( U_5387 = k7_finseq_1(U_5389,U_5388)
| ? [U_5386] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5386)) != k1_funct_1(U_5388,U_5386)
& r2_hidden(U_5386,k4_finseq_1(U_5388))
& m2_subset_1(U_5386,k1_numbers,k5_numbers) )
| ( k1_funct_1(U_5387,sK665(U_5389,U_5388,U_5387)) != k1_funct_1(U_5389,sK665(U_5389,U_5388,U_5387))
& r2_hidden(sK665(U_5389,U_5388,U_5387),k4_finseq_1(U_5389))
& m2_subset_1(sK665(U_5389,U_5388,U_5387),k1_numbers,k5_numbers) )
| k4_finseq_1(U_5387) != k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388))) )
& ( ( ! [U_5384] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5384)) = k1_funct_1(U_5388,U_5384)
| ~ r2_hidden(U_5384,k4_finseq_1(U_5388))
| ~ m2_subset_1(U_5384,k1_numbers,k5_numbers) )
& ! [U_5383] :
( k1_funct_1(U_5387,U_5383) = k1_funct_1(U_5389,U_5383)
| ~ r2_hidden(U_5383,k4_finseq_1(U_5389))
| ~ m2_subset_1(U_5383,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5387) = k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388))) )
| U_5387 != k7_finseq_1(U_5389,U_5388) ) )
| ~ v1_finseq_1(U_5387)
| ~ v1_funct_1(U_5387)
| ~ v1_relat_1(U_5387) )
| ~ v1_finseq_1(U_5388)
| ~ v1_funct_1(U_5388)
| ~ v1_relat_1(U_5388) )
| ~ v1_finseq_1(U_5389)
| ~ v1_funct_1(U_5389)
| ~ v1_relat_1(U_5389) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK665]),skolemize(U_5385,sK665(U_5389,U_5388,U_5387))],[f_2072_2]) ).
fof(f_2072_4,plain,
! [U_5389] :
( ! [U_5388] :
( ! [U_5387] :
( ( ( U_5387 = k7_finseq_1(U_5389,U_5388)
| ( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),sK666(U_5389,U_5388,U_5387))) != k1_funct_1(U_5388,sK666(U_5389,U_5388,U_5387))
& r2_hidden(sK666(U_5389,U_5388,U_5387),k4_finseq_1(U_5388))
& m2_subset_1(sK666(U_5389,U_5388,U_5387),k1_numbers,k5_numbers) )
| ( k1_funct_1(U_5387,sK665(U_5389,U_5388,U_5387)) != k1_funct_1(U_5389,sK665(U_5389,U_5388,U_5387))
& r2_hidden(sK665(U_5389,U_5388,U_5387),k4_finseq_1(U_5389))
& m2_subset_1(sK665(U_5389,U_5388,U_5387),k1_numbers,k5_numbers) )
| k4_finseq_1(U_5387) != k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388))) )
& ( ( ! [U_5384] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5384)) = k1_funct_1(U_5388,U_5384)
| ~ r2_hidden(U_5384,k4_finseq_1(U_5388))
| ~ m2_subset_1(U_5384,k1_numbers,k5_numbers) )
& ! [U_5383] :
( k1_funct_1(U_5387,U_5383) = k1_funct_1(U_5389,U_5383)
| ~ r2_hidden(U_5383,k4_finseq_1(U_5389))
| ~ m2_subset_1(U_5383,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5387) = k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388))) )
| U_5387 != k7_finseq_1(U_5389,U_5388) ) )
| ~ v1_finseq_1(U_5387)
| ~ v1_funct_1(U_5387)
| ~ v1_relat_1(U_5387) )
| ~ v1_finseq_1(U_5388)
| ~ v1_funct_1(U_5388)
| ~ v1_relat_1(U_5388) )
| ~ v1_finseq_1(U_5389)
| ~ v1_funct_1(U_5389)
| ~ v1_relat_1(U_5389) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK666]),skolemize(U_5386,sK666(U_5389,U_5388,U_5387))],[f_2072_3]) ).
fof(f_2072_5,plain,
( ! [U_5387,U_5388,U_5389] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),sK666(U_5389,U_5388,U_5387))) != k1_funct_1(U_5388,sK666(U_5389,U_5388,U_5387))
| ~ sP972(U_5387,U_5388,U_5389) )
& ! [U_5387,U_5388,U_5389] :
( r2_hidden(sK666(U_5389,U_5388,U_5387),k4_finseq_1(U_5388))
| ~ sP972(U_5387,U_5388,U_5389) )
& ! [U_5387,U_5388,U_5389] :
( m2_subset_1(sK666(U_5389,U_5388,U_5387),k1_numbers,k5_numbers)
| ~ sP972(U_5387,U_5388,U_5389) )
& ! [U_5387,U_5388,U_5389] :
( k1_funct_1(U_5387,sK665(U_5389,U_5388,U_5387)) != k1_funct_1(U_5389,sK665(U_5389,U_5388,U_5387))
| ~ sP971(U_5387,U_5388,U_5389) )
& ! [U_5387,U_5388,U_5389] :
( r2_hidden(sK665(U_5389,U_5388,U_5387),k4_finseq_1(U_5389))
| ~ sP971(U_5387,U_5388,U_5389) )
& ! [U_5387,U_5388,U_5389] :
( m2_subset_1(sK665(U_5389,U_5388,U_5387),k1_numbers,k5_numbers)
| ~ sP971(U_5387,U_5388,U_5389) )
& ! [U_5383,U_5387,U_5388,U_5389,U_5384] :
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5384)) = k1_funct_1(U_5388,U_5384)
| ~ r2_hidden(U_5384,k4_finseq_1(U_5388))
| ~ m2_subset_1(U_5384,k1_numbers,k5_numbers)
| ~ sP970(U_5383,U_5387,U_5388,U_5389,U_5384) )
& ! [U_5383,U_5387,U_5388,U_5389,U_5384] :
( k1_funct_1(U_5387,U_5383) = k1_funct_1(U_5389,U_5383)
| ~ r2_hidden(U_5383,k4_finseq_1(U_5389))
| ~ m2_subset_1(U_5383,k1_numbers,k5_numbers)
| ~ sP970(U_5383,U_5387,U_5388,U_5389,U_5384) )
& ! [U_5383,U_5387,U_5388,U_5389,U_5384] :
( k4_finseq_1(U_5387) = k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388)))
| ~ sP970(U_5383,U_5387,U_5388,U_5389,U_5384) )
& ! [U_5383,U_5387,U_5388,U_5389,U_5384] :
( U_5387 = k7_finseq_1(U_5389,U_5388)
| sP972(U_5387,U_5388,U_5389)
| sP971(U_5387,U_5388,U_5389)
| k4_finseq_1(U_5387) != k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388)))
| ~ sP973(U_5383,U_5387,U_5388,U_5389,U_5384) )
& ! [U_5383,U_5387,U_5388,U_5389,U_5384] :
( sP970(U_5383,U_5387,U_5388,U_5389,U_5384)
| U_5387 != k7_finseq_1(U_5389,U_5388)
| ~ sP973(U_5383,U_5387,U_5388,U_5389,U_5384) )
& ! [U_5383,U_5387,U_5388,U_5389,U_5384] :
( sP973(U_5383,U_5387,U_5388,U_5389,U_5384)
| ~ v1_finseq_1(U_5387)
| ~ v1_funct_1(U_5387)
| ~ v1_relat_1(U_5387)
| ~ v1_finseq_1(U_5388)
| ~ v1_funct_1(U_5388)
| ~ v1_relat_1(U_5388)
| ~ v1_finseq_1(U_5389)
| ~ v1_funct_1(U_5389)
| ~ v1_relat_1(U_5389) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP970,sP971,sP972,sP973])],[f_2072_4]) ).
cnf(f_2072_6,plain,
( sP973(U_5383,U_5387,U_5388,U_5389,U_5384)
| ~ v1_finseq_1(U_5387)
| ~ v1_funct_1(U_5387)
| ~ v1_relat_1(U_5387)
| ~ v1_finseq_1(U_5388)
| ~ v1_funct_1(U_5388)
| ~ v1_relat_1(U_5388)
| ~ v1_finseq_1(U_5389)
| ~ v1_funct_1(U_5389)
| ~ v1_relat_1(U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_7,plain,
( sP970(U_5383,U_5387,U_5388,U_5389,U_5384)
| U_5387 != k7_finseq_1(U_5389,U_5388)
| ~ sP973(U_5383,U_5387,U_5388,U_5389,U_5384) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_8,plain,
( U_5387 = k7_finseq_1(U_5389,U_5388)
| sP972(U_5387,U_5388,U_5389)
| sP971(U_5387,U_5388,U_5389)
| k4_finseq_1(U_5387) != k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388)))
| ~ sP973(U_5383,U_5387,U_5388,U_5389,U_5384) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_9,plain,
( k4_finseq_1(U_5387) = k2_finseq_1(k1_nat_1(k3_finseq_1(U_5389),k3_finseq_1(U_5388)))
| ~ sP970(U_5383,U_5387,U_5388,U_5389,U_5384) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_10,plain,
( k1_funct_1(U_5387,U_5383) = k1_funct_1(U_5389,U_5383)
| ~ r2_hidden(U_5383,k4_finseq_1(U_5389))
| ~ m2_subset_1(U_5383,k1_numbers,k5_numbers)
| ~ sP970(U_5383,U_5387,U_5388,U_5389,U_5384) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_11,plain,
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),U_5384)) = k1_funct_1(U_5388,U_5384)
| ~ r2_hidden(U_5384,k4_finseq_1(U_5388))
| ~ m2_subset_1(U_5384,k1_numbers,k5_numbers)
| ~ sP970(U_5383,U_5387,U_5388,U_5389,U_5384) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_12,plain,
( m2_subset_1(sK665(U_5389,U_5388,U_5387),k1_numbers,k5_numbers)
| ~ sP971(U_5387,U_5388,U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_13,plain,
( r2_hidden(sK665(U_5389,U_5388,U_5387),k4_finseq_1(U_5389))
| ~ sP971(U_5387,U_5388,U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_14,plain,
( k1_funct_1(U_5387,sK665(U_5389,U_5388,U_5387)) != k1_funct_1(U_5389,sK665(U_5389,U_5388,U_5387))
| ~ sP971(U_5387,U_5388,U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_15,plain,
( m2_subset_1(sK666(U_5389,U_5388,U_5387),k1_numbers,k5_numbers)
| ~ sP972(U_5387,U_5388,U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_16,plain,
( r2_hidden(sK666(U_5389,U_5388,U_5387),k4_finseq_1(U_5388))
| ~ sP972(U_5387,U_5388,U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
cnf(f_2072_17,plain,
( k1_funct_1(U_5387,k1_nat_1(k3_finseq_1(U_5389),sK666(U_5389,U_5388,U_5387))) != k1_funct_1(U_5388,sK666(U_5389,U_5388,U_5387))
| ~ sP972(U_5387,U_5388,U_5389) ),
inference(clausify,[status(thm)],[f_2072_5]) ).
fof(f_2073_1,plain,
! [A] :
( ! [B] :
( A = k7_relat_1(k7_finseq_1(A,B),k4_finseq_1(A))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t33_finseq_1]) ).
fof(f_2073_2,plain,
! [U_5391] :
( ! [U_5390] :
( U_5391 = k7_relat_1(k7_finseq_1(U_5391,U_5390),k4_finseq_1(U_5391))
| ~ v1_finseq_1(U_5390)
| ~ v1_funct_1(U_5390)
| ~ v1_relat_1(U_5390) )
| ~ v1_finseq_1(U_5391)
| ~ v1_funct_1(U_5391)
| ~ v1_relat_1(U_5391) ),
inference(variable_rename,[status(thm)],[f_2073_1]) ).
fof(f_2073_3,plain,
! [U_5390,U_5391] :
( U_5391 = k7_relat_1(k7_finseq_1(U_5391,U_5390),k4_finseq_1(U_5391))
| ~ v1_finseq_1(U_5390)
| ~ v1_funct_1(U_5390)
| ~ v1_relat_1(U_5390)
| ~ v1_finseq_1(U_5391)
| ~ v1_funct_1(U_5391)
| ~ v1_relat_1(U_5391) ),
inference(definitional_conversion,[status(esa)],[f_2073_2]) ).
cnf(f_2073_4,plain,
( U_5391 = k7_relat_1(k7_finseq_1(U_5391,U_5390),k4_finseq_1(U_5391))
| ~ v1_finseq_1(U_5390)
| ~ v1_funct_1(U_5390)
| ~ v1_relat_1(U_5390)
| ~ v1_finseq_1(U_5391)
| ~ v1_funct_1(U_5391)
| ~ v1_relat_1(U_5391) ),
inference(clausify,[status(thm)],[f_2073_3]) ).
fof(f_2074_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t34_finseq_1]) ).
fof(f_2074_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2074_1]) ).
cnf(f_2074_3,plain,
$true,
inference(clausify,[status(thm)],[f_2074_2]) ).
fof(f_2075_1,plain,
! [A] :
( ! [B] :
( k3_finseq_1(k7_finseq_1(A,B)) = k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t35_finseq_1]) ).
fof(f_2075_2,plain,
! [U_5393] :
( ! [U_5392] :
( k3_finseq_1(k7_finseq_1(U_5393,U_5392)) = k1_nat_1(k3_finseq_1(U_5393),k3_finseq_1(U_5392))
| ~ v1_finseq_1(U_5392)
| ~ v1_funct_1(U_5392)
| ~ v1_relat_1(U_5392) )
| ~ v1_finseq_1(U_5393)
| ~ v1_funct_1(U_5393)
| ~ v1_relat_1(U_5393) ),
inference(variable_rename,[status(thm)],[f_2075_1]) ).
fof(f_2075_3,plain,
! [U_5393,U_5392] :
( k3_finseq_1(k7_finseq_1(U_5393,U_5392)) = k1_nat_1(k3_finseq_1(U_5393),k3_finseq_1(U_5392))
| ~ v1_finseq_1(U_5392)
| ~ v1_funct_1(U_5392)
| ~ v1_relat_1(U_5392)
| ~ v1_finseq_1(U_5393)
| ~ v1_funct_1(U_5393)
| ~ v1_relat_1(U_5393) ),
inference(definitional_conversion,[status(esa)],[f_2075_2]) ).
cnf(f_2075_4,plain,
( k3_finseq_1(k7_finseq_1(U_5393,U_5392)) = k1_nat_1(k3_finseq_1(U_5393),k3_finseq_1(U_5392))
| ~ v1_finseq_1(U_5392)
| ~ v1_funct_1(U_5392)
| ~ v1_relat_1(U_5392)
| ~ v1_finseq_1(U_5393)
| ~ v1_funct_1(U_5393)
| ~ v1_relat_1(U_5393) ),
inference(clausify,[status(thm)],[f_2075_3]) ).
fof(f_2076_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A)))
| ~ r1_xreal_0(C,k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(A),np__1),C)
| ~ v4_ordinal2(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t36_finseq_1]) ).
fof(f_2076_2,plain,
! [U_5396] :
( ! [U_5395] :
( ! [U_5394] :
( k1_funct_1(k7_finseq_1(U_5396,U_5395),U_5394) = k1_funct_1(U_5395,k6_xcmplx_0(U_5394,k3_finseq_1(U_5396)))
| ~ r1_xreal_0(U_5394,k1_nat_1(k3_finseq_1(U_5396),k3_finseq_1(U_5395)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(U_5396),np__1),U_5394)
| ~ v4_ordinal2(U_5394) )
| ~ v1_finseq_1(U_5395)
| ~ v1_funct_1(U_5395)
| ~ v1_relat_1(U_5395) )
| ~ v1_finseq_1(U_5396)
| ~ v1_funct_1(U_5396)
| ~ v1_relat_1(U_5396) ),
inference(variable_rename,[status(thm)],[f_2076_1]) ).
fof(f_2076_3,plain,
! [U_5395,U_5396,U_5394] :
( k1_funct_1(k7_finseq_1(U_5396,U_5395),U_5394) = k1_funct_1(U_5395,k6_xcmplx_0(U_5394,k3_finseq_1(U_5396)))
| ~ r1_xreal_0(U_5394,k1_nat_1(k3_finseq_1(U_5396),k3_finseq_1(U_5395)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(U_5396),np__1),U_5394)
| ~ v4_ordinal2(U_5394)
| ~ v1_finseq_1(U_5395)
| ~ v1_funct_1(U_5395)
| ~ v1_relat_1(U_5395)
| ~ v1_finseq_1(U_5396)
| ~ v1_funct_1(U_5396)
| ~ v1_relat_1(U_5396) ),
inference(definitional_conversion,[status(esa)],[f_2076_2]) ).
cnf(f_2076_4,plain,
( k1_funct_1(k7_finseq_1(U_5396,U_5395),U_5394) = k1_funct_1(U_5395,k6_xcmplx_0(U_5394,k3_finseq_1(U_5396)))
| ~ r1_xreal_0(U_5394,k1_nat_1(k3_finseq_1(U_5396),k3_finseq_1(U_5395)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(U_5396),np__1),U_5394)
| ~ v4_ordinal2(U_5394)
| ~ v1_finseq_1(U_5395)
| ~ v1_funct_1(U_5395)
| ~ v1_relat_1(U_5395)
| ~ v1_finseq_1(U_5396)
| ~ v1_funct_1(U_5396)
| ~ v1_relat_1(U_5396) ),
inference(clausify,[status(thm)],[f_2076_3]) ).
fof(f_2077_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A)))
| r1_xreal_0(C,k3_finseq_1(A))
| ~ r1_xreal_0(C,k3_finseq_1(k7_finseq_1(A,B)))
| ~ v4_ordinal2(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t37_finseq_1]) ).
fof(f_2077_2,plain,
! [U_5399] :
( ! [U_5398] :
( ! [U_5397] :
( k1_funct_1(k7_finseq_1(U_5399,U_5398),U_5397) = k1_funct_1(U_5398,k6_xcmplx_0(U_5397,k3_finseq_1(U_5399)))
| r1_xreal_0(U_5397,k3_finseq_1(U_5399))
| ~ r1_xreal_0(U_5397,k3_finseq_1(k7_finseq_1(U_5399,U_5398)))
| ~ v4_ordinal2(U_5397) )
| ~ v1_finseq_1(U_5398)
| ~ v1_funct_1(U_5398)
| ~ v1_relat_1(U_5398) )
| ~ v1_finseq_1(U_5399)
| ~ v1_funct_1(U_5399)
| ~ v1_relat_1(U_5399) ),
inference(variable_rename,[status(thm)],[f_2077_1]) ).
fof(f_2077_3,plain,
! [U_5399,U_5398,U_5397] :
( k1_funct_1(k7_finseq_1(U_5399,U_5398),U_5397) = k1_funct_1(U_5398,k6_xcmplx_0(U_5397,k3_finseq_1(U_5399)))
| r1_xreal_0(U_5397,k3_finseq_1(U_5399))
| ~ r1_xreal_0(U_5397,k3_finseq_1(k7_finseq_1(U_5399,U_5398)))
| ~ v4_ordinal2(U_5397)
| ~ v1_finseq_1(U_5398)
| ~ v1_funct_1(U_5398)
| ~ v1_relat_1(U_5398)
| ~ v1_finseq_1(U_5399)
| ~ v1_funct_1(U_5399)
| ~ v1_relat_1(U_5399) ),
inference(definitional_conversion,[status(esa)],[f_2077_2]) ).
cnf(f_2077_4,plain,
( k1_funct_1(k7_finseq_1(U_5399,U_5398),U_5397) = k1_funct_1(U_5398,k6_xcmplx_0(U_5397,k3_finseq_1(U_5399)))
| r1_xreal_0(U_5397,k3_finseq_1(U_5399))
| ~ r1_xreal_0(U_5397,k3_finseq_1(k7_finseq_1(U_5399,U_5398)))
| ~ v4_ordinal2(U_5397)
| ~ v1_finseq_1(U_5398)
| ~ v1_funct_1(U_5398)
| ~ v1_relat_1(U_5398)
| ~ v1_finseq_1(U_5399)
| ~ v1_funct_1(U_5399)
| ~ v1_relat_1(U_5399) ),
inference(clausify,[status(thm)],[f_2077_3]) ).
fof(f_2078_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( C = k1_nat_1(k3_finseq_1(A),D)
& r2_hidden(D,k4_finseq_1(B))
& m2_subset_1(D,k1_numbers,k5_numbers) )
| r2_hidden(C,k4_finseq_1(A))
| ~ r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B)))
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t38_finseq_1]) ).
fof(f_2078_2,plain,
! [U_5403] :
( ! [U_5402] :
( ! [U_5401] :
( ? [U_5400] :
( U_5401 = k1_nat_1(k3_finseq_1(U_5403),U_5400)
& r2_hidden(U_5400,k4_finseq_1(U_5402))
& m2_subset_1(U_5400,k1_numbers,k5_numbers) )
| r2_hidden(U_5401,k4_finseq_1(U_5403))
| ~ r2_hidden(U_5401,k4_finseq_1(k7_finseq_1(U_5403,U_5402)))
| ~ m2_subset_1(U_5401,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5402)
| ~ v1_funct_1(U_5402)
| ~ v1_relat_1(U_5402) )
| ~ v1_finseq_1(U_5403)
| ~ v1_funct_1(U_5403)
| ~ v1_relat_1(U_5403) ),
inference(variable_rename,[status(thm)],[f_2078_1]) ).
fof(f_2078_3,plain,
! [U_5403] :
( ! [U_5402] :
( ! [U_5401] :
( ( U_5401 = k1_nat_1(k3_finseq_1(U_5403),sK667(U_5403,U_5402,U_5401))
& r2_hidden(sK667(U_5403,U_5402,U_5401),k4_finseq_1(U_5402))
& m2_subset_1(sK667(U_5403,U_5402,U_5401),k1_numbers,k5_numbers) )
| r2_hidden(U_5401,k4_finseq_1(U_5403))
| ~ r2_hidden(U_5401,k4_finseq_1(k7_finseq_1(U_5403,U_5402)))
| ~ m2_subset_1(U_5401,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5402)
| ~ v1_funct_1(U_5402)
| ~ v1_relat_1(U_5402) )
| ~ v1_finseq_1(U_5403)
| ~ v1_funct_1(U_5403)
| ~ v1_relat_1(U_5403) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK667]),skolemize(U_5400,sK667(U_5403,U_5402,U_5401))],[f_2078_2]) ).
fof(f_2078_4,plain,
( ! [U_5401,U_5403,U_5402] :
( U_5401 = k1_nat_1(k3_finseq_1(U_5403),sK667(U_5403,U_5402,U_5401))
| ~ sP974(U_5401,U_5403,U_5402) )
& ! [U_5401,U_5403,U_5402] :
( r2_hidden(sK667(U_5403,U_5402,U_5401),k4_finseq_1(U_5402))
| ~ sP974(U_5401,U_5403,U_5402) )
& ! [U_5401,U_5403,U_5402] :
( m2_subset_1(sK667(U_5403,U_5402,U_5401),k1_numbers,k5_numbers)
| ~ sP974(U_5401,U_5403,U_5402) )
& ! [U_5401,U_5403,U_5402] :
( sP974(U_5401,U_5403,U_5402)
| r2_hidden(U_5401,k4_finseq_1(U_5403))
| ~ r2_hidden(U_5401,k4_finseq_1(k7_finseq_1(U_5403,U_5402)))
| ~ m2_subset_1(U_5401,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5402)
| ~ v1_funct_1(U_5402)
| ~ v1_relat_1(U_5402)
| ~ v1_finseq_1(U_5403)
| ~ v1_funct_1(U_5403)
| ~ v1_relat_1(U_5403) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP974])],[f_2078_3]) ).
cnf(f_2078_5,plain,
( sP974(U_5401,U_5403,U_5402)
| r2_hidden(U_5401,k4_finseq_1(U_5403))
| ~ r2_hidden(U_5401,k4_finseq_1(k7_finseq_1(U_5403,U_5402)))
| ~ m2_subset_1(U_5401,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5402)
| ~ v1_funct_1(U_5402)
| ~ v1_relat_1(U_5402)
| ~ v1_finseq_1(U_5403)
| ~ v1_funct_1(U_5403)
| ~ v1_relat_1(U_5403) ),
inference(clausify,[status(thm)],[f_2078_4]) ).
cnf(f_2078_6,plain,
( m2_subset_1(sK667(U_5403,U_5402,U_5401),k1_numbers,k5_numbers)
| ~ sP974(U_5401,U_5403,U_5402) ),
inference(clausify,[status(thm)],[f_2078_4]) ).
cnf(f_2078_7,plain,
( r2_hidden(sK667(U_5403,U_5402,U_5401),k4_finseq_1(U_5402))
| ~ sP974(U_5401,U_5403,U_5402) ),
inference(clausify,[status(thm)],[f_2078_4]) ).
cnf(f_2078_8,plain,
( U_5401 = k1_nat_1(k3_finseq_1(U_5403),sK667(U_5403,U_5402,U_5401))
| ~ sP974(U_5401,U_5403,U_5402) ),
inference(clausify,[status(thm)],[f_2078_4]) ).
fof(f_2079_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k4_finseq_1(A),k4_finseq_1(k7_finseq_1(A,B)))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t39_finseq_1]) ).
fof(f_2079_2,plain,
! [U_5405] :
( ! [U_5404] :
( r1_tarski(k4_finseq_1(U_5405),k4_finseq_1(k7_finseq_1(U_5405,U_5404)))
| ~ v1_finseq_1(U_5404)
| ~ v1_funct_1(U_5404)
| ~ v1_relat_1(U_5404) )
| ~ v1_finseq_1(U_5405)
| ~ v1_funct_1(U_5405)
| ~ v1_relat_1(U_5405) ),
inference(variable_rename,[status(thm)],[f_2079_1]) ).
fof(f_2079_3,plain,
! [U_5405,U_5404] :
( r1_tarski(k4_finseq_1(U_5405),k4_finseq_1(k7_finseq_1(U_5405,U_5404)))
| ~ v1_finseq_1(U_5404)
| ~ v1_funct_1(U_5404)
| ~ v1_relat_1(U_5404)
| ~ v1_finseq_1(U_5405)
| ~ v1_funct_1(U_5405)
| ~ v1_relat_1(U_5405) ),
inference(definitional_conversion,[status(esa)],[f_2079_2]) ).
cnf(f_2079_4,plain,
( r1_tarski(k4_finseq_1(U_5405),k4_finseq_1(k7_finseq_1(U_5405,U_5404)))
| ~ v1_finseq_1(U_5404)
| ~ v1_funct_1(U_5404)
| ~ v1_relat_1(U_5404)
| ~ v1_finseq_1(U_5405)
| ~ v1_funct_1(U_5405)
| ~ v1_relat_1(U_5405) ),
inference(clausify,[status(thm)],[f_2079_3]) ).
fof(f_2080_1,plain,
! [A,B] :
( ! [C] :
( ? [D] :
( r2_hidden(k1_nat_1(k3_finseq_1(C),D),k4_finseq_1(k7_finseq_1(C,B)))
& D = A
& m2_subset_1(D,k1_numbers,k5_numbers) )
| ~ r2_hidden(A,k4_finseq_1(B))
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t40_finseq_1]) ).
fof(f_2080_2,plain,
! [U_5409,U_5408] :
( ! [U_5407] :
( ? [U_5406] :
( r2_hidden(k1_nat_1(k3_finseq_1(U_5407),U_5406),k4_finseq_1(k7_finseq_1(U_5407,U_5408)))
& U_5406 = U_5409
& m2_subset_1(U_5406,k1_numbers,k5_numbers) )
| ~ r2_hidden(U_5409,k4_finseq_1(U_5408))
| ~ v1_finseq_1(U_5407)
| ~ v1_funct_1(U_5407)
| ~ v1_relat_1(U_5407) )
| ~ v1_finseq_1(U_5408)
| ~ v1_funct_1(U_5408)
| ~ v1_relat_1(U_5408) ),
inference(variable_rename,[status(thm)],[f_2080_1]) ).
fof(f_2080_3,plain,
! [U_5409,U_5408] :
( ! [U_5407] :
( ( r2_hidden(k1_nat_1(k3_finseq_1(U_5407),sK668(U_5409,U_5408,U_5407)),k4_finseq_1(k7_finseq_1(U_5407,U_5408)))
& sK668(U_5409,U_5408,U_5407) = U_5409
& m2_subset_1(sK668(U_5409,U_5408,U_5407),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_5409,k4_finseq_1(U_5408))
| ~ v1_finseq_1(U_5407)
| ~ v1_funct_1(U_5407)
| ~ v1_relat_1(U_5407) )
| ~ v1_finseq_1(U_5408)
| ~ v1_funct_1(U_5408)
| ~ v1_relat_1(U_5408) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK668]),skolemize(U_5406,sK668(U_5409,U_5408,U_5407))],[f_2080_2]) ).
fof(f_2080_4,plain,
( ! [U_5407,U_5408,U_5409] :
( r2_hidden(k1_nat_1(k3_finseq_1(U_5407),sK668(U_5409,U_5408,U_5407)),k4_finseq_1(k7_finseq_1(U_5407,U_5408)))
| ~ sP975(U_5407,U_5408,U_5409) )
& ! [U_5407,U_5408,U_5409] :
( sK668(U_5409,U_5408,U_5407) = U_5409
| ~ sP975(U_5407,U_5408,U_5409) )
& ! [U_5407,U_5408,U_5409] :
( m2_subset_1(sK668(U_5409,U_5408,U_5407),k1_numbers,k5_numbers)
| ~ sP975(U_5407,U_5408,U_5409) )
& ! [U_5407,U_5408,U_5409] :
( sP975(U_5407,U_5408,U_5409)
| ~ r2_hidden(U_5409,k4_finseq_1(U_5408))
| ~ v1_finseq_1(U_5407)
| ~ v1_funct_1(U_5407)
| ~ v1_relat_1(U_5407)
| ~ v1_finseq_1(U_5408)
| ~ v1_funct_1(U_5408)
| ~ v1_relat_1(U_5408) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP975])],[f_2080_3]) ).
cnf(f_2080_5,plain,
( sP975(U_5407,U_5408,U_5409)
| ~ r2_hidden(U_5409,k4_finseq_1(U_5408))
| ~ v1_finseq_1(U_5407)
| ~ v1_funct_1(U_5407)
| ~ v1_relat_1(U_5407)
| ~ v1_finseq_1(U_5408)
| ~ v1_funct_1(U_5408)
| ~ v1_relat_1(U_5408) ),
inference(clausify,[status(thm)],[f_2080_4]) ).
cnf(f_2080_6,plain,
( m2_subset_1(sK668(U_5409,U_5408,U_5407),k1_numbers,k5_numbers)
| ~ sP975(U_5407,U_5408,U_5409) ),
inference(clausify,[status(thm)],[f_2080_4]) ).
cnf(f_2080_7,plain,
( sK668(U_5409,U_5408,U_5407) = U_5409
| ~ sP975(U_5407,U_5408,U_5409) ),
inference(clausify,[status(thm)],[f_2080_4]) ).
cnf(f_2080_8,plain,
( r2_hidden(k1_nat_1(k3_finseq_1(U_5407),sK668(U_5409,U_5408,U_5407)),k4_finseq_1(k7_finseq_1(U_5407,U_5408)))
| ~ sP975(U_5407,U_5408,U_5409) ),
inference(clausify,[status(thm)],[f_2080_4]) ).
fof(f_2081_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(k1_nat_1(k3_finseq_1(C),A),k4_finseq_1(k7_finseq_1(C,B)))
| ~ r2_hidden(A,k4_finseq_1(B))
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t41_finseq_1]) ).
fof(f_2081_2,plain,
! [U_5412] :
( ! [U_5411] :
( ! [U_5410] :
( r2_hidden(k1_nat_1(k3_finseq_1(U_5410),U_5412),k4_finseq_1(k7_finseq_1(U_5410,U_5411)))
| ~ r2_hidden(U_5412,k4_finseq_1(U_5411))
| ~ v1_finseq_1(U_5410)
| ~ v1_funct_1(U_5410)
| ~ v1_relat_1(U_5410) )
| ~ v1_finseq_1(U_5411)
| ~ v1_funct_1(U_5411)
| ~ v1_relat_1(U_5411) )
| ~ m2_subset_1(U_5412,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2081_1]) ).
fof(f_2081_3,plain,
! [U_5412,U_5410,U_5411] :
( r2_hidden(k1_nat_1(k3_finseq_1(U_5410),U_5412),k4_finseq_1(k7_finseq_1(U_5410,U_5411)))
| ~ r2_hidden(U_5412,k4_finseq_1(U_5411))
| ~ v1_finseq_1(U_5410)
| ~ v1_funct_1(U_5410)
| ~ v1_relat_1(U_5410)
| ~ v1_finseq_1(U_5411)
| ~ v1_funct_1(U_5411)
| ~ v1_relat_1(U_5411)
| ~ m2_subset_1(U_5412,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2081_2]) ).
cnf(f_2081_4,plain,
( r2_hidden(k1_nat_1(k3_finseq_1(U_5410),U_5412),k4_finseq_1(k7_finseq_1(U_5410,U_5411)))
| ~ r2_hidden(U_5412,k4_finseq_1(U_5411))
| ~ v1_finseq_1(U_5410)
| ~ v1_funct_1(U_5410)
| ~ v1_relat_1(U_5410)
| ~ v1_finseq_1(U_5411)
| ~ v1_funct_1(U_5411)
| ~ v1_relat_1(U_5411)
| ~ m2_subset_1(U_5412,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2081_3]) ).
fof(f_2082_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(A,B)))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t42_finseq_1]) ).
fof(f_2082_2,plain,
! [U_5414] :
( ! [U_5413] :
( r1_tarski(k2_relat_1(U_5414),k2_relat_1(k7_finseq_1(U_5414,U_5413)))
| ~ v1_finseq_1(U_5413)
| ~ v1_funct_1(U_5413)
| ~ v1_relat_1(U_5413) )
| ~ v1_finseq_1(U_5414)
| ~ v1_funct_1(U_5414)
| ~ v1_relat_1(U_5414) ),
inference(variable_rename,[status(thm)],[f_2082_1]) ).
fof(f_2082_3,plain,
! [U_5413,U_5414] :
( r1_tarski(k2_relat_1(U_5414),k2_relat_1(k7_finseq_1(U_5414,U_5413)))
| ~ v1_finseq_1(U_5413)
| ~ v1_funct_1(U_5413)
| ~ v1_relat_1(U_5413)
| ~ v1_finseq_1(U_5414)
| ~ v1_funct_1(U_5414)
| ~ v1_relat_1(U_5414) ),
inference(definitional_conversion,[status(esa)],[f_2082_2]) ).
cnf(f_2082_4,plain,
( r1_tarski(k2_relat_1(U_5414),k2_relat_1(k7_finseq_1(U_5414,U_5413)))
| ~ v1_finseq_1(U_5413)
| ~ v1_funct_1(U_5413)
| ~ v1_relat_1(U_5413)
| ~ v1_finseq_1(U_5414)
| ~ v1_funct_1(U_5414)
| ~ v1_relat_1(U_5414) ),
inference(clausify,[status(thm)],[f_2082_3]) ).
fof(f_2083_1,plain,
! [A] :
( ! [B] :
( r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(B,A)))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t43_finseq_1]) ).
fof(f_2083_2,plain,
! [U_5416] :
( ! [U_5415] :
( r1_tarski(k2_relat_1(U_5416),k2_relat_1(k7_finseq_1(U_5415,U_5416)))
| ~ v1_finseq_1(U_5415)
| ~ v1_funct_1(U_5415)
| ~ v1_relat_1(U_5415) )
| ~ v1_finseq_1(U_5416)
| ~ v1_funct_1(U_5416)
| ~ v1_relat_1(U_5416) ),
inference(variable_rename,[status(thm)],[f_2083_1]) ).
fof(f_2083_3,plain,
! [U_5416,U_5415] :
( r1_tarski(k2_relat_1(U_5416),k2_relat_1(k7_finseq_1(U_5415,U_5416)))
| ~ v1_finseq_1(U_5415)
| ~ v1_funct_1(U_5415)
| ~ v1_relat_1(U_5415)
| ~ v1_finseq_1(U_5416)
| ~ v1_funct_1(U_5416)
| ~ v1_relat_1(U_5416) ),
inference(definitional_conversion,[status(esa)],[f_2083_2]) ).
cnf(f_2083_4,plain,
( r1_tarski(k2_relat_1(U_5416),k2_relat_1(k7_finseq_1(U_5415,U_5416)))
| ~ v1_finseq_1(U_5415)
| ~ v1_funct_1(U_5415)
| ~ v1_relat_1(U_5415)
| ~ v1_finseq_1(U_5416)
| ~ v1_funct_1(U_5416)
| ~ v1_relat_1(U_5416) ),
inference(clausify,[status(thm)],[f_2083_3]) ).
fof(f_2084_1,plain,
! [A] :
( ! [B] :
( k2_relat_1(k7_finseq_1(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B))
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t44_finseq_1]) ).
fof(f_2084_2,plain,
! [U_5418] :
( ! [U_5417] :
( k2_relat_1(k7_finseq_1(U_5418,U_5417)) = k2_xboole_0(k2_relat_1(U_5418),k2_relat_1(U_5417))
| ~ v1_finseq_1(U_5417)
| ~ v1_funct_1(U_5417)
| ~ v1_relat_1(U_5417) )
| ~ v1_finseq_1(U_5418)
| ~ v1_funct_1(U_5418)
| ~ v1_relat_1(U_5418) ),
inference(variable_rename,[status(thm)],[f_2084_1]) ).
fof(f_2084_3,plain,
! [U_5418,U_5417] :
( k2_relat_1(k7_finseq_1(U_5418,U_5417)) = k2_xboole_0(k2_relat_1(U_5418),k2_relat_1(U_5417))
| ~ v1_finseq_1(U_5417)
| ~ v1_funct_1(U_5417)
| ~ v1_relat_1(U_5417)
| ~ v1_finseq_1(U_5418)
| ~ v1_funct_1(U_5418)
| ~ v1_relat_1(U_5418) ),
inference(definitional_conversion,[status(esa)],[f_2084_2]) ).
cnf(f_2084_4,plain,
( k2_relat_1(k7_finseq_1(U_5418,U_5417)) = k2_xboole_0(k2_relat_1(U_5418),k2_relat_1(U_5417))
| ~ v1_finseq_1(U_5417)
| ~ v1_funct_1(U_5417)
| ~ v1_relat_1(U_5417)
| ~ v1_finseq_1(U_5418)
| ~ v1_funct_1(U_5418)
| ~ v1_relat_1(U_5418) ),
inference(clausify,[status(thm)],[f_2084_3]) ).
fof(f_2085_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k7_finseq_1(k7_finseq_1(A,B),C) = k7_finseq_1(A,k7_finseq_1(B,C))
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t45_finseq_1]) ).
fof(f_2085_2,plain,
! [U_5421] :
( ! [U_5420] :
( ! [U_5419] :
( k7_finseq_1(k7_finseq_1(U_5421,U_5420),U_5419) = k7_finseq_1(U_5421,k7_finseq_1(U_5420,U_5419))
| ~ v1_finseq_1(U_5419)
| ~ v1_funct_1(U_5419)
| ~ v1_relat_1(U_5419) )
| ~ v1_finseq_1(U_5420)
| ~ v1_funct_1(U_5420)
| ~ v1_relat_1(U_5420) )
| ~ v1_finseq_1(U_5421)
| ~ v1_funct_1(U_5421)
| ~ v1_relat_1(U_5421) ),
inference(variable_rename,[status(thm)],[f_2085_1]) ).
fof(f_2085_3,plain,
! [U_5419,U_5420,U_5421] :
( k7_finseq_1(k7_finseq_1(U_5421,U_5420),U_5419) = k7_finseq_1(U_5421,k7_finseq_1(U_5420,U_5419))
| ~ v1_finseq_1(U_5419)
| ~ v1_funct_1(U_5419)
| ~ v1_relat_1(U_5419)
| ~ v1_finseq_1(U_5420)
| ~ v1_funct_1(U_5420)
| ~ v1_relat_1(U_5420)
| ~ v1_finseq_1(U_5421)
| ~ v1_funct_1(U_5421)
| ~ v1_relat_1(U_5421) ),
inference(definitional_conversion,[status(esa)],[f_2085_2]) ).
cnf(f_2085_4,plain,
( k7_finseq_1(k7_finseq_1(U_5421,U_5420),U_5419) = k7_finseq_1(U_5421,k7_finseq_1(U_5420,U_5419))
| ~ v1_finseq_1(U_5419)
| ~ v1_funct_1(U_5419)
| ~ v1_relat_1(U_5419)
| ~ v1_finseq_1(U_5420)
| ~ v1_funct_1(U_5420)
| ~ v1_relat_1(U_5420)
| ~ v1_finseq_1(U_5421)
| ~ v1_funct_1(U_5421)
| ~ v1_relat_1(U_5421) ),
inference(clausify,[status(thm)],[f_2085_3]) ).
fof(f_2086_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( A = C
| ( k7_finseq_1(B,A) != k7_finseq_1(B,C)
& k7_finseq_1(A,B) != k7_finseq_1(C,B) )
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t46_finseq_1]) ).
fof(f_2086_2,plain,
! [U_5424] :
( ! [U_5423] :
( ! [U_5422] :
( U_5424 = U_5422
| ( k7_finseq_1(U_5423,U_5424) != k7_finseq_1(U_5423,U_5422)
& k7_finseq_1(U_5424,U_5423) != k7_finseq_1(U_5422,U_5423) )
| ~ v1_finseq_1(U_5422)
| ~ v1_funct_1(U_5422)
| ~ v1_relat_1(U_5422) )
| ~ v1_finseq_1(U_5423)
| ~ v1_funct_1(U_5423)
| ~ v1_relat_1(U_5423) )
| ~ v1_finseq_1(U_5424)
| ~ v1_funct_1(U_5424)
| ~ v1_relat_1(U_5424) ),
inference(variable_rename,[status(thm)],[f_2086_1]) ).
fof(f_2086_3,plain,
( ! [U_5423,U_5424,U_5422] :
( k7_finseq_1(U_5423,U_5424) != k7_finseq_1(U_5423,U_5422)
| ~ sP976(U_5423,U_5424,U_5422) )
& ! [U_5423,U_5424,U_5422] :
( k7_finseq_1(U_5424,U_5423) != k7_finseq_1(U_5422,U_5423)
| ~ sP976(U_5423,U_5424,U_5422) )
& ! [U_5423,U_5424,U_5422] :
( U_5424 = U_5422
| sP976(U_5423,U_5424,U_5422)
| ~ v1_finseq_1(U_5422)
| ~ v1_funct_1(U_5422)
| ~ v1_relat_1(U_5422)
| ~ v1_finseq_1(U_5423)
| ~ v1_funct_1(U_5423)
| ~ v1_relat_1(U_5423)
| ~ v1_finseq_1(U_5424)
| ~ v1_funct_1(U_5424)
| ~ v1_relat_1(U_5424) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP976])],[f_2086_2]) ).
cnf(f_2086_4,plain,
( U_5424 = U_5422
| sP976(U_5423,U_5424,U_5422)
| ~ v1_finseq_1(U_5422)
| ~ v1_funct_1(U_5422)
| ~ v1_relat_1(U_5422)
| ~ v1_finseq_1(U_5423)
| ~ v1_funct_1(U_5423)
| ~ v1_relat_1(U_5423)
| ~ v1_finseq_1(U_5424)
| ~ v1_funct_1(U_5424)
| ~ v1_relat_1(U_5424) ),
inference(clausify,[status(thm)],[f_2086_3]) ).
cnf(f_2086_5,plain,
( k7_finseq_1(U_5424,U_5423) != k7_finseq_1(U_5422,U_5423)
| ~ sP976(U_5423,U_5424,U_5422) ),
inference(clausify,[status(thm)],[f_2086_3]) ).
cnf(f_2086_6,plain,
( k7_finseq_1(U_5423,U_5424) != k7_finseq_1(U_5423,U_5422)
| ~ sP976(U_5423,U_5424,U_5422) ),
inference(clausify,[status(thm)],[f_2086_3]) ).
fof(f_2087_1,plain,
! [A] :
( ( k7_finseq_1(k1_xboole_0,A) = A
& k7_finseq_1(A,k1_xboole_0) = A )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t47_finseq_1]) ).
fof(f_2087_2,plain,
! [U_5425] :
( ( k7_finseq_1(k1_xboole_0,U_5425) = U_5425
& k7_finseq_1(U_5425,k1_xboole_0) = U_5425 )
| ~ v1_finseq_1(U_5425)
| ~ v1_funct_1(U_5425)
| ~ v1_relat_1(U_5425) ),
inference(variable_rename,[status(thm)],[f_2087_1]) ).
fof(f_2087_3,plain,
( ! [U_5425] :
( k7_finseq_1(k1_xboole_0,U_5425) = U_5425
| ~ sP977(U_5425) )
& ! [U_5425] :
( k7_finseq_1(U_5425,k1_xboole_0) = U_5425
| ~ sP977(U_5425) )
& ! [U_5425] :
( sP977(U_5425)
| ~ v1_finseq_1(U_5425)
| ~ v1_funct_1(U_5425)
| ~ v1_relat_1(U_5425) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP977])],[f_2087_2]) ).
cnf(f_2087_4,plain,
( sP977(U_5425)
| ~ v1_finseq_1(U_5425)
| ~ v1_funct_1(U_5425)
| ~ v1_relat_1(U_5425) ),
inference(clausify,[status(thm)],[f_2087_3]) ).
cnf(f_2087_5,plain,
( k7_finseq_1(U_5425,k1_xboole_0) = U_5425
| ~ sP977(U_5425) ),
inference(clausify,[status(thm)],[f_2087_3]) ).
cnf(f_2087_6,plain,
( k7_finseq_1(k1_xboole_0,U_5425) = U_5425
| ~ sP977(U_5425) ),
inference(clausify,[status(thm)],[f_2087_3]) ).
fof(f_2088_1,plain,
! [A] :
( ! [B] :
( ( B = k1_xboole_0
& A = k1_xboole_0 )
| k7_finseq_1(A,B) != k1_xboole_0
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t48_finseq_1]) ).
fof(f_2088_2,plain,
! [U_5427] :
( ! [U_5426] :
( ( U_5426 = k1_xboole_0
& U_5427 = k1_xboole_0 )
| k7_finseq_1(U_5427,U_5426) != k1_xboole_0
| ~ v1_finseq_1(U_5426)
| ~ v1_funct_1(U_5426)
| ~ v1_relat_1(U_5426) )
| ~ v1_finseq_1(U_5427)
| ~ v1_funct_1(U_5427)
| ~ v1_relat_1(U_5427) ),
inference(variable_rename,[status(thm)],[f_2088_1]) ).
fof(f_2088_3,plain,
( ! [U_5427,U_5426] :
( U_5426 = k1_xboole_0
| ~ sP978(U_5427,U_5426) )
& ! [U_5427,U_5426] :
( U_5427 = k1_xboole_0
| ~ sP978(U_5427,U_5426) )
& ! [U_5427,U_5426] :
( sP978(U_5427,U_5426)
| k7_finseq_1(U_5427,U_5426) != k1_xboole_0
| ~ v1_finseq_1(U_5426)
| ~ v1_funct_1(U_5426)
| ~ v1_relat_1(U_5426)
| ~ v1_finseq_1(U_5427)
| ~ v1_funct_1(U_5427)
| ~ v1_relat_1(U_5427) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP978])],[f_2088_2]) ).
cnf(f_2088_4,plain,
( sP978(U_5427,U_5426)
| k7_finseq_1(U_5427,U_5426) != k1_xboole_0
| ~ v1_finseq_1(U_5426)
| ~ v1_funct_1(U_5426)
| ~ v1_relat_1(U_5426)
| ~ v1_finseq_1(U_5427)
| ~ v1_funct_1(U_5427)
| ~ v1_relat_1(U_5427) ),
inference(clausify,[status(thm)],[f_2088_3]) ).
cnf(f_2088_5,plain,
( U_5427 = k1_xboole_0
| ~ sP978(U_5427,U_5426) ),
inference(clausify,[status(thm)],[f_2088_3]) ).
cnf(f_2088_6,plain,
( U_5426 = k1_xboole_0
| ~ sP978(U_5427,U_5426) ),
inference(clausify,[status(thm)],[f_2088_3]) ).
fof(f_2089_1,plain,
! [A,B] :
( ( ( B = k9_finseq_1(A)
| k1_funct_1(B,np__1) != A
| k1_relat_1(B) != k2_finseq_1(np__1) )
& ( ( k1_funct_1(B,np__1) = A
& k1_relat_1(B) = k2_finseq_1(np__1) )
| B != k9_finseq_1(A) ) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[d8_finseq_1]) ).
fof(f_2089_2,plain,
! [U_5429,U_5428] :
( ( ( U_5428 = k9_finseq_1(U_5429)
| k1_funct_1(U_5428,np__1) != U_5429
| k1_relat_1(U_5428) != k2_finseq_1(np__1) )
& ( ( k1_funct_1(U_5428,np__1) = U_5429
& k1_relat_1(U_5428) = k2_finseq_1(np__1) )
| U_5428 != k9_finseq_1(U_5429) ) )
| ~ v1_funct_1(U_5428)
| ~ v1_relat_1(U_5428) ),
inference(variable_rename,[status(thm)],[f_2089_1]) ).
fof(f_2089_3,plain,
( ! [U_5428,U_5429] :
( k1_funct_1(U_5428,np__1) = U_5429
| ~ sP979(U_5428,U_5429) )
& ! [U_5428,U_5429] :
( k1_relat_1(U_5428) = k2_finseq_1(np__1)
| ~ sP979(U_5428,U_5429) )
& ! [U_5428,U_5429] :
( U_5428 = k9_finseq_1(U_5429)
| k1_funct_1(U_5428,np__1) != U_5429
| k1_relat_1(U_5428) != k2_finseq_1(np__1)
| ~ sP980(U_5428,U_5429) )
& ! [U_5428,U_5429] :
( sP979(U_5428,U_5429)
| U_5428 != k9_finseq_1(U_5429)
| ~ sP980(U_5428,U_5429) )
& ! [U_5428,U_5429] :
( sP980(U_5428,U_5429)
| ~ v1_funct_1(U_5428)
| ~ v1_relat_1(U_5428) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP979,sP980])],[f_2089_2]) ).
cnf(f_2089_4,plain,
( sP980(U_5428,U_5429)
| ~ v1_funct_1(U_5428)
| ~ v1_relat_1(U_5428) ),
inference(clausify,[status(thm)],[f_2089_3]) ).
cnf(f_2089_5,plain,
( sP979(U_5428,U_5429)
| U_5428 != k9_finseq_1(U_5429)
| ~ sP980(U_5428,U_5429) ),
inference(clausify,[status(thm)],[f_2089_3]) ).
cnf(f_2089_6,plain,
( U_5428 = k9_finseq_1(U_5429)
| k1_funct_1(U_5428,np__1) != U_5429
| k1_relat_1(U_5428) != k2_finseq_1(np__1)
| ~ sP980(U_5428,U_5429) ),
inference(clausify,[status(thm)],[f_2089_3]) ).
cnf(f_2089_7,plain,
( k1_relat_1(U_5428) = k2_finseq_1(np__1)
| ~ sP979(U_5428,U_5429) ),
inference(clausify,[status(thm)],[f_2089_3]) ).
cnf(f_2089_8,plain,
( k1_funct_1(U_5428,np__1) = U_5429
| ~ sP979(U_5428,U_5429) ),
inference(clausify,[status(thm)],[f_2089_3]) ).
fof(f_2090_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t49_finseq_1]) ).
fof(f_2090_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2090_1]) ).
cnf(f_2090_3,plain,
$true,
inference(clausify,[status(thm)],[f_2090_2]) ).
fof(f_2091_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( m2_finseq_1(B,C)
& m2_finseq_1(A,C) )
| ~ m2_finseq_1(k7_finseq_1(A,B),C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t50_finseq_1]) ).
fof(f_2091_2,plain,
! [U_5432] :
( ! [U_5431] :
( ! [U_5430] :
( ( m2_finseq_1(U_5431,U_5430)
& m2_finseq_1(U_5432,U_5430) )
| ~ m2_finseq_1(k7_finseq_1(U_5432,U_5431),U_5430) )
| ~ v1_finseq_1(U_5431)
| ~ v1_funct_1(U_5431)
| ~ v1_relat_1(U_5431) )
| ~ v1_finseq_1(U_5432)
| ~ v1_funct_1(U_5432)
| ~ v1_relat_1(U_5432) ),
inference(variable_rename,[status(thm)],[f_2091_1]) ).
fof(f_2091_3,plain,
( ! [U_5431,U_5432,U_5430] :
( m2_finseq_1(U_5431,U_5430)
| ~ sP981(U_5431,U_5432,U_5430) )
& ! [U_5431,U_5432,U_5430] :
( m2_finseq_1(U_5432,U_5430)
| ~ sP981(U_5431,U_5432,U_5430) )
& ! [U_5431,U_5432,U_5430] :
( sP981(U_5431,U_5432,U_5430)
| ~ m2_finseq_1(k7_finseq_1(U_5432,U_5431),U_5430)
| ~ v1_finseq_1(U_5431)
| ~ v1_funct_1(U_5431)
| ~ v1_relat_1(U_5431)
| ~ v1_finseq_1(U_5432)
| ~ v1_funct_1(U_5432)
| ~ v1_relat_1(U_5432) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP981])],[f_2091_2]) ).
cnf(f_2091_4,plain,
( sP981(U_5431,U_5432,U_5430)
| ~ m2_finseq_1(k7_finseq_1(U_5432,U_5431),U_5430)
| ~ v1_finseq_1(U_5431)
| ~ v1_funct_1(U_5431)
| ~ v1_relat_1(U_5431)
| ~ v1_finseq_1(U_5432)
| ~ v1_funct_1(U_5432)
| ~ v1_relat_1(U_5432) ),
inference(clausify,[status(thm)],[f_2091_3]) ).
cnf(f_2091_5,plain,
( m2_finseq_1(U_5432,U_5430)
| ~ sP981(U_5431,U_5432,U_5430) ),
inference(clausify,[status(thm)],[f_2091_3]) ).
cnf(f_2091_6,plain,
( m2_finseq_1(U_5431,U_5430)
| ~ sP981(U_5431,U_5432,U_5430) ),
inference(clausify,[status(thm)],[f_2091_3]) ).
fof(f_2092_1,plain,
! [A,B] : k10_finseq_1(A,B) = k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),
inference(fof_nnf,[status(thm)],[d9_finseq_1]) ).
fof(f_2092_2,plain,
! [U_5434,U_5433] : k10_finseq_1(U_5434,U_5433) = k7_finseq_1(k9_finseq_1(U_5434),k9_finseq_1(U_5433)),
inference(variable_rename,[status(thm)],[f_2092_1]) ).
fof(f_2092_3,plain,
! [U_5434,U_5433] : k10_finseq_1(U_5434,U_5433) = k7_finseq_1(k9_finseq_1(U_5434),k9_finseq_1(U_5433)),
inference(definitional_conversion,[status(esa)],[f_2092_2]) ).
cnf(f_2092_4,plain,
k10_finseq_1(U_5434,U_5433) = k7_finseq_1(k9_finseq_1(U_5434),k9_finseq_1(U_5433)),
inference(clausify,[status(thm)],[f_2092_3]) ).
fof(f_2093_1,plain,
! [A,B,C] : k11_finseq_1(A,B,C) = k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C)),
inference(fof_nnf,[status(thm)],[d10_finseq_1]) ).
fof(f_2093_2,plain,
! [U_5437,U_5436,U_5435] : k11_finseq_1(U_5437,U_5436,U_5435) = k7_finseq_1(k7_finseq_1(k9_finseq_1(U_5437),k9_finseq_1(U_5436)),k9_finseq_1(U_5435)),
inference(variable_rename,[status(thm)],[f_2093_1]) ).
fof(f_2093_3,plain,
! [U_5436,U_5437,U_5435] : k11_finseq_1(U_5437,U_5436,U_5435) = k7_finseq_1(k7_finseq_1(k9_finseq_1(U_5437),k9_finseq_1(U_5436)),k9_finseq_1(U_5435)),
inference(definitional_conversion,[status(esa)],[f_2093_2]) ).
cnf(f_2093_4,plain,
k11_finseq_1(U_5437,U_5436,U_5435) = k7_finseq_1(k7_finseq_1(k9_finseq_1(U_5437),k9_finseq_1(U_5436)),k9_finseq_1(U_5435)),
inference(clausify,[status(thm)],[f_2093_3]) ).
fof(f_2094_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t51_finseq_1]) ).
fof(f_2094_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2094_1]) ).
cnf(f_2094_3,plain,
$true,
inference(clausify,[status(thm)],[f_2094_2]) ).
fof(f_2095_1,plain,
! [A] : k9_finseq_1(A) = k1_tarski(k4_tarski(np__1,A)),
inference(fof_nnf,[status(thm)],[t52_finseq_1]) ).
fof(f_2095_2,plain,
! [U_5438] : k9_finseq_1(U_5438) = k1_tarski(k4_tarski(np__1,U_5438)),
inference(variable_rename,[status(thm)],[f_2095_1]) ).
fof(f_2095_3,plain,
! [U_5438] : k9_finseq_1(U_5438) = k1_tarski(k4_tarski(np__1,U_5438)),
inference(definitional_conversion,[status(esa)],[f_2095_2]) ).
cnf(f_2095_4,plain,
k9_finseq_1(U_5438) = k1_tarski(k4_tarski(np__1,U_5438)),
inference(clausify,[status(thm)],[f_2095_3]) ).
fof(f_2096_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_finseq_1]) ).
fof(f_2096_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2096_1]) ).
cnf(f_2096_3,plain,
$true,
inference(clausify,[status(thm)],[f_2096_2]) ).
fof(f_2097_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t54_finseq_1]) ).
fof(f_2097_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2097_1]) ).
cnf(f_2097_3,plain,
$true,
inference(clausify,[status(thm)],[f_2097_2]) ).
fof(f_2098_1,plain,
! [A,B] :
( ( ( B = k9_finseq_1(A)
| k2_relat_1(B) != k1_tarski(A)
| k4_finseq_1(B) != k2_finseq_1(np__1) )
& ( ( k2_relat_1(B) = k1_tarski(A)
& k4_finseq_1(B) = k2_finseq_1(np__1) )
| B != k9_finseq_1(A) ) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t55_finseq_1]) ).
fof(f_2098_2,plain,
! [U_5440,U_5439] :
( ( ( U_5439 = k9_finseq_1(U_5440)
| k2_relat_1(U_5439) != k1_tarski(U_5440)
| k4_finseq_1(U_5439) != k2_finseq_1(np__1) )
& ( ( k2_relat_1(U_5439) = k1_tarski(U_5440)
& k4_finseq_1(U_5439) = k2_finseq_1(np__1) )
| U_5439 != k9_finseq_1(U_5440) ) )
| ~ v1_finseq_1(U_5439)
| ~ v1_funct_1(U_5439)
| ~ v1_relat_1(U_5439) ),
inference(variable_rename,[status(thm)],[f_2098_1]) ).
fof(f_2098_3,plain,
( ! [U_5439,U_5440] :
( k2_relat_1(U_5439) = k1_tarski(U_5440)
| ~ sP982(U_5439,U_5440) )
& ! [U_5439,U_5440] :
( k4_finseq_1(U_5439) = k2_finseq_1(np__1)
| ~ sP982(U_5439,U_5440) )
& ! [U_5439,U_5440] :
( U_5439 = k9_finseq_1(U_5440)
| k2_relat_1(U_5439) != k1_tarski(U_5440)
| k4_finseq_1(U_5439) != k2_finseq_1(np__1)
| ~ sP983(U_5439,U_5440) )
& ! [U_5439,U_5440] :
( sP982(U_5439,U_5440)
| U_5439 != k9_finseq_1(U_5440)
| ~ sP983(U_5439,U_5440) )
& ! [U_5439,U_5440] :
( sP983(U_5439,U_5440)
| ~ v1_finseq_1(U_5439)
| ~ v1_funct_1(U_5439)
| ~ v1_relat_1(U_5439) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP982,sP983])],[f_2098_2]) ).
cnf(f_2098_4,plain,
( sP983(U_5439,U_5440)
| ~ v1_finseq_1(U_5439)
| ~ v1_funct_1(U_5439)
| ~ v1_relat_1(U_5439) ),
inference(clausify,[status(thm)],[f_2098_3]) ).
cnf(f_2098_5,plain,
( sP982(U_5439,U_5440)
| U_5439 != k9_finseq_1(U_5440)
| ~ sP983(U_5439,U_5440) ),
inference(clausify,[status(thm)],[f_2098_3]) ).
cnf(f_2098_6,plain,
( U_5439 = k9_finseq_1(U_5440)
| k2_relat_1(U_5439) != k1_tarski(U_5440)
| k4_finseq_1(U_5439) != k2_finseq_1(np__1)
| ~ sP983(U_5439,U_5440) ),
inference(clausify,[status(thm)],[f_2098_3]) ).
cnf(f_2098_7,plain,
( k4_finseq_1(U_5439) = k2_finseq_1(np__1)
| ~ sP982(U_5439,U_5440) ),
inference(clausify,[status(thm)],[f_2098_3]) ).
cnf(f_2098_8,plain,
( k2_relat_1(U_5439) = k1_tarski(U_5440)
| ~ sP982(U_5439,U_5440) ),
inference(clausify,[status(thm)],[f_2098_3]) ).
fof(f_2099_1,plain,
! [A,B] :
( ( ( B = k9_finseq_1(A)
| k2_relat_1(B) != k1_tarski(A)
| k3_finseq_1(B) != np__1 )
& ( ( k2_relat_1(B) = k1_tarski(A)
& k3_finseq_1(B) = np__1 )
| B != k9_finseq_1(A) ) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t56_finseq_1]) ).
fof(f_2099_2,plain,
! [U_5442,U_5441] :
( ( ( U_5441 = k9_finseq_1(U_5442)
| k2_relat_1(U_5441) != k1_tarski(U_5442)
| k3_finseq_1(U_5441) != np__1 )
& ( ( k2_relat_1(U_5441) = k1_tarski(U_5442)
& k3_finseq_1(U_5441) = np__1 )
| U_5441 != k9_finseq_1(U_5442) ) )
| ~ v1_finseq_1(U_5441)
| ~ v1_funct_1(U_5441)
| ~ v1_relat_1(U_5441) ),
inference(variable_rename,[status(thm)],[f_2099_1]) ).
fof(f_2099_3,plain,
( ! [U_5442,U_5441] :
( k2_relat_1(U_5441) = k1_tarski(U_5442)
| ~ sP984(U_5442,U_5441) )
& ! [U_5442,U_5441] :
( k3_finseq_1(U_5441) = np__1
| ~ sP984(U_5442,U_5441) )
& ! [U_5442,U_5441] :
( U_5441 = k9_finseq_1(U_5442)
| k2_relat_1(U_5441) != k1_tarski(U_5442)
| k3_finseq_1(U_5441) != np__1
| ~ sP985(U_5442,U_5441) )
& ! [U_5442,U_5441] :
( sP984(U_5442,U_5441)
| U_5441 != k9_finseq_1(U_5442)
| ~ sP985(U_5442,U_5441) )
& ! [U_5442,U_5441] :
( sP985(U_5442,U_5441)
| ~ v1_finseq_1(U_5441)
| ~ v1_funct_1(U_5441)
| ~ v1_relat_1(U_5441) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP984,sP985])],[f_2099_2]) ).
cnf(f_2099_4,plain,
( sP985(U_5442,U_5441)
| ~ v1_finseq_1(U_5441)
| ~ v1_funct_1(U_5441)
| ~ v1_relat_1(U_5441) ),
inference(clausify,[status(thm)],[f_2099_3]) ).
cnf(f_2099_5,plain,
( sP984(U_5442,U_5441)
| U_5441 != k9_finseq_1(U_5442)
| ~ sP985(U_5442,U_5441) ),
inference(clausify,[status(thm)],[f_2099_3]) ).
cnf(f_2099_6,plain,
( U_5441 = k9_finseq_1(U_5442)
| k2_relat_1(U_5441) != k1_tarski(U_5442)
| k3_finseq_1(U_5441) != np__1
| ~ sP985(U_5442,U_5441) ),
inference(clausify,[status(thm)],[f_2099_3]) ).
cnf(f_2099_7,plain,
( k3_finseq_1(U_5441) = np__1
| ~ sP984(U_5442,U_5441) ),
inference(clausify,[status(thm)],[f_2099_3]) ).
cnf(f_2099_8,plain,
( k2_relat_1(U_5441) = k1_tarski(U_5442)
| ~ sP984(U_5442,U_5441) ),
inference(clausify,[status(thm)],[f_2099_3]) ).
fof(f_2100_1,plain,
! [A,B] :
( ( ( B = k9_finseq_1(A)
| k1_funct_1(B,np__1) != A
| k3_finseq_1(B) != np__1 )
& ( ( k1_funct_1(B,np__1) = A
& k3_finseq_1(B) = np__1 )
| B != k9_finseq_1(A) ) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t57_finseq_1]) ).
fof(f_2100_2,plain,
! [U_5444,U_5443] :
( ( ( U_5443 = k9_finseq_1(U_5444)
| k1_funct_1(U_5443,np__1) != U_5444
| k3_finseq_1(U_5443) != np__1 )
& ( ( k1_funct_1(U_5443,np__1) = U_5444
& k3_finseq_1(U_5443) = np__1 )
| U_5443 != k9_finseq_1(U_5444) ) )
| ~ v1_finseq_1(U_5443)
| ~ v1_funct_1(U_5443)
| ~ v1_relat_1(U_5443) ),
inference(variable_rename,[status(thm)],[f_2100_1]) ).
fof(f_2100_3,plain,
( ! [U_5444,U_5443] :
( k1_funct_1(U_5443,np__1) = U_5444
| ~ sP986(U_5444,U_5443) )
& ! [U_5444,U_5443] :
( k3_finseq_1(U_5443) = np__1
| ~ sP986(U_5444,U_5443) )
& ! [U_5444,U_5443] :
( U_5443 = k9_finseq_1(U_5444)
| k1_funct_1(U_5443,np__1) != U_5444
| k3_finseq_1(U_5443) != np__1
| ~ sP987(U_5444,U_5443) )
& ! [U_5444,U_5443] :
( sP986(U_5444,U_5443)
| U_5443 != k9_finseq_1(U_5444)
| ~ sP987(U_5444,U_5443) )
& ! [U_5444,U_5443] :
( sP987(U_5444,U_5443)
| ~ v1_finseq_1(U_5443)
| ~ v1_funct_1(U_5443)
| ~ v1_relat_1(U_5443) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP986,sP987])],[f_2100_2]) ).
cnf(f_2100_4,plain,
( sP987(U_5444,U_5443)
| ~ v1_finseq_1(U_5443)
| ~ v1_funct_1(U_5443)
| ~ v1_relat_1(U_5443) ),
inference(clausify,[status(thm)],[f_2100_3]) ).
cnf(f_2100_5,plain,
( sP986(U_5444,U_5443)
| U_5443 != k9_finseq_1(U_5444)
| ~ sP987(U_5444,U_5443) ),
inference(clausify,[status(thm)],[f_2100_3]) ).
cnf(f_2100_6,plain,
( U_5443 = k9_finseq_1(U_5444)
| k1_funct_1(U_5443,np__1) != U_5444
| k3_finseq_1(U_5443) != np__1
| ~ sP987(U_5444,U_5443) ),
inference(clausify,[status(thm)],[f_2100_3]) ).
cnf(f_2100_7,plain,
( k3_finseq_1(U_5443) = np__1
| ~ sP986(U_5444,U_5443) ),
inference(clausify,[status(thm)],[f_2100_3]) ).
cnf(f_2100_8,plain,
( k1_funct_1(U_5443,np__1) = U_5444
| ~ sP986(U_5444,U_5443) ),
inference(clausify,[status(thm)],[f_2100_3]) ).
fof(f_2101_1,plain,
! [A,B] :
( k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),np__1) = A
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t58_finseq_1]) ).
fof(f_2101_2,plain,
! [U_5446,U_5445] :
( k1_funct_1(k7_finseq_1(k9_finseq_1(U_5446),U_5445),np__1) = U_5446
| ~ v1_finseq_1(U_5445)
| ~ v1_funct_1(U_5445)
| ~ v1_relat_1(U_5445) ),
inference(variable_rename,[status(thm)],[f_2101_1]) ).
fof(f_2101_3,plain,
! [U_5446,U_5445] :
( k1_funct_1(k7_finseq_1(k9_finseq_1(U_5446),U_5445),np__1) = U_5446
| ~ v1_finseq_1(U_5445)
| ~ v1_funct_1(U_5445)
| ~ v1_relat_1(U_5445) ),
inference(definitional_conversion,[status(esa)],[f_2101_2]) ).
cnf(f_2101_4,plain,
( k1_funct_1(k7_finseq_1(k9_finseq_1(U_5446),U_5445),np__1) = U_5446
| ~ v1_finseq_1(U_5445)
| ~ v1_funct_1(U_5445)
| ~ v1_relat_1(U_5445) ),
inference(clausify,[status(thm)],[f_2101_3]) ).
fof(f_2102_1,plain,
! [A,B] :
( k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),k1_nat_1(k3_finseq_1(B),np__1)) = A
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t59_finseq_1]) ).
fof(f_2102_2,plain,
! [U_5448,U_5447] :
( k1_funct_1(k7_finseq_1(U_5447,k9_finseq_1(U_5448)),k1_nat_1(k3_finseq_1(U_5447),np__1)) = U_5448
| ~ v1_finseq_1(U_5447)
| ~ v1_funct_1(U_5447)
| ~ v1_relat_1(U_5447) ),
inference(variable_rename,[status(thm)],[f_2102_1]) ).
fof(f_2102_3,plain,
! [U_5447,U_5448] :
( k1_funct_1(k7_finseq_1(U_5447,k9_finseq_1(U_5448)),k1_nat_1(k3_finseq_1(U_5447),np__1)) = U_5448
| ~ v1_finseq_1(U_5447)
| ~ v1_funct_1(U_5447)
| ~ v1_relat_1(U_5447) ),
inference(definitional_conversion,[status(esa)],[f_2102_2]) ).
cnf(f_2102_4,plain,
( k1_funct_1(k7_finseq_1(U_5447,k9_finseq_1(U_5448)),k1_nat_1(k3_finseq_1(U_5447),np__1)) = U_5448
| ~ v1_finseq_1(U_5447)
| ~ v1_funct_1(U_5447)
| ~ v1_relat_1(U_5447) ),
inference(clausify,[status(thm)],[f_2102_3]) ).
fof(f_2103_1,plain,
! [A,B,C] :
( k11_finseq_1(A,B,C) = k7_finseq_1(k10_finseq_1(A,B),k9_finseq_1(C))
& k11_finseq_1(A,B,C) = k7_finseq_1(k9_finseq_1(A),k10_finseq_1(B,C)) ),
inference(fof_nnf,[status(thm)],[t60_finseq_1]) ).
fof(f_2103_2,plain,
! [U_5451,U_5450,U_5449] :
( k11_finseq_1(U_5451,U_5450,U_5449) = k7_finseq_1(k10_finseq_1(U_5451,U_5450),k9_finseq_1(U_5449))
& k11_finseq_1(U_5451,U_5450,U_5449) = k7_finseq_1(k9_finseq_1(U_5451),k10_finseq_1(U_5450,U_5449)) ),
inference(variable_rename,[status(thm)],[f_2103_1]) ).
fof(f_2103_3,plain,
( ! [U_5457,U_5455,U_5453] : k11_finseq_1(U_5457,U_5455,U_5453) = k7_finseq_1(k10_finseq_1(U_5457,U_5455),k9_finseq_1(U_5453))
& ! [U_5456,U_5454,U_5452] : k11_finseq_1(U_5456,U_5454,U_5452) = k7_finseq_1(k9_finseq_1(U_5456),k10_finseq_1(U_5454,U_5452)) ),
inference(miniscope,[status(thm)],[f_2103_2]) ).
fof(f_2103_4,plain,
( ! [U_5455,U_5457,U_5453] : k11_finseq_1(U_5457,U_5455,U_5453) = k7_finseq_1(k10_finseq_1(U_5457,U_5455),k9_finseq_1(U_5453))
& ! [U_5454,U_5456,U_5452] : k11_finseq_1(U_5456,U_5454,U_5452) = k7_finseq_1(k9_finseq_1(U_5456),k10_finseq_1(U_5454,U_5452)) ),
inference(definitional_conversion,[status(esa)],[f_2103_3]) ).
cnf(f_2103_5,plain,
k11_finseq_1(U_5456,U_5454,U_5452) = k7_finseq_1(k9_finseq_1(U_5456),k10_finseq_1(U_5454,U_5452)),
inference(clausify,[status(thm)],[f_2103_4]) ).
cnf(f_2103_6,plain,
k11_finseq_1(U_5457,U_5455,U_5453) = k7_finseq_1(k10_finseq_1(U_5457,U_5455),k9_finseq_1(U_5453)),
inference(clausify,[status(thm)],[f_2103_4]) ).
fof(f_2104_1,plain,
! [A,B,C] :
( ( ( C = k10_finseq_1(A,B)
| k1_funct_1(C,np__2) != B
| k1_funct_1(C,np__1) != A
| k3_finseq_1(C) != np__2 )
& ( ( k1_funct_1(C,np__2) = B
& k1_funct_1(C,np__1) = A
& k3_finseq_1(C) = np__2 )
| C != k10_finseq_1(A,B) ) )
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ),
inference(fof_nnf,[status(thm)],[t61_finseq_1]) ).
fof(f_2104_2,plain,
! [U_5460,U_5459,U_5458] :
( ( ( U_5458 = k10_finseq_1(U_5460,U_5459)
| k1_funct_1(U_5458,np__2) != U_5459
| k1_funct_1(U_5458,np__1) != U_5460
| k3_finseq_1(U_5458) != np__2 )
& ( ( k1_funct_1(U_5458,np__2) = U_5459
& k1_funct_1(U_5458,np__1) = U_5460
& k3_finseq_1(U_5458) = np__2 )
| U_5458 != k10_finseq_1(U_5460,U_5459) ) )
| ~ v1_finseq_1(U_5458)
| ~ v1_funct_1(U_5458)
| ~ v1_relat_1(U_5458) ),
inference(variable_rename,[status(thm)],[f_2104_1]) ).
fof(f_2104_3,plain,
( ! [U_5458,U_5459,U_5460] :
( k1_funct_1(U_5458,np__2) = U_5459
| ~ sP988(U_5458,U_5459,U_5460) )
& ! [U_5458,U_5459,U_5460] :
( k1_funct_1(U_5458,np__1) = U_5460
| ~ sP988(U_5458,U_5459,U_5460) )
& ! [U_5458,U_5459,U_5460] :
( k3_finseq_1(U_5458) = np__2
| ~ sP988(U_5458,U_5459,U_5460) )
& ! [U_5458,U_5459,U_5460] :
( U_5458 = k10_finseq_1(U_5460,U_5459)
| k1_funct_1(U_5458,np__2) != U_5459
| k1_funct_1(U_5458,np__1) != U_5460
| k3_finseq_1(U_5458) != np__2
| ~ sP989(U_5458,U_5459,U_5460) )
& ! [U_5458,U_5459,U_5460] :
( sP988(U_5458,U_5459,U_5460)
| U_5458 != k10_finseq_1(U_5460,U_5459)
| ~ sP989(U_5458,U_5459,U_5460) )
& ! [U_5458,U_5459,U_5460] :
( sP989(U_5458,U_5459,U_5460)
| ~ v1_finseq_1(U_5458)
| ~ v1_funct_1(U_5458)
| ~ v1_relat_1(U_5458) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP988,sP989])],[f_2104_2]) ).
cnf(f_2104_4,plain,
( sP989(U_5458,U_5459,U_5460)
| ~ v1_finseq_1(U_5458)
| ~ v1_funct_1(U_5458)
| ~ v1_relat_1(U_5458) ),
inference(clausify,[status(thm)],[f_2104_3]) ).
cnf(f_2104_5,plain,
( sP988(U_5458,U_5459,U_5460)
| U_5458 != k10_finseq_1(U_5460,U_5459)
| ~ sP989(U_5458,U_5459,U_5460) ),
inference(clausify,[status(thm)],[f_2104_3]) ).
cnf(f_2104_6,plain,
( U_5458 = k10_finseq_1(U_5460,U_5459)
| k1_funct_1(U_5458,np__2) != U_5459
| k1_funct_1(U_5458,np__1) != U_5460
| k3_finseq_1(U_5458) != np__2
| ~ sP989(U_5458,U_5459,U_5460) ),
inference(clausify,[status(thm)],[f_2104_3]) ).
cnf(f_2104_7,plain,
( k3_finseq_1(U_5458) = np__2
| ~ sP988(U_5458,U_5459,U_5460) ),
inference(clausify,[status(thm)],[f_2104_3]) ).
cnf(f_2104_8,plain,
( k1_funct_1(U_5458,np__1) = U_5460
| ~ sP988(U_5458,U_5459,U_5460) ),
inference(clausify,[status(thm)],[f_2104_3]) ).
cnf(f_2104_9,plain,
( k1_funct_1(U_5458,np__2) = U_5459
| ~ sP988(U_5458,U_5459,U_5460) ),
inference(clausify,[status(thm)],[f_2104_3]) ).
fof(f_2105_1,plain,
! [A,B,C,D] :
( ( ( D = k11_finseq_1(A,B,C)
| k1_funct_1(D,np__3) != C
| k1_funct_1(D,np__2) != B
| k1_funct_1(D,np__1) != A
| k3_finseq_1(D) != np__3 )
& ( ( k1_funct_1(D,np__3) = C
& k1_funct_1(D,np__2) = B
& k1_funct_1(D,np__1) = A
& k3_finseq_1(D) = np__3 )
| D != k11_finseq_1(A,B,C) ) )
| ~ v1_finseq_1(D)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) ),
inference(fof_nnf,[status(thm)],[t62_finseq_1]) ).
fof(f_2105_2,plain,
! [U_5464,U_5463,U_5462,U_5461] :
( ( ( U_5461 = k11_finseq_1(U_5464,U_5463,U_5462)
| k1_funct_1(U_5461,np__3) != U_5462
| k1_funct_1(U_5461,np__2) != U_5463
| k1_funct_1(U_5461,np__1) != U_5464
| k3_finseq_1(U_5461) != np__3 )
& ( ( k1_funct_1(U_5461,np__3) = U_5462
& k1_funct_1(U_5461,np__2) = U_5463
& k1_funct_1(U_5461,np__1) = U_5464
& k3_finseq_1(U_5461) = np__3 )
| U_5461 != k11_finseq_1(U_5464,U_5463,U_5462) ) )
| ~ v1_finseq_1(U_5461)
| ~ v1_funct_1(U_5461)
| ~ v1_relat_1(U_5461) ),
inference(variable_rename,[status(thm)],[f_2105_1]) ).
fof(f_2105_3,plain,
( ! [U_5461,U_5462,U_5464,U_5463] :
( k1_funct_1(U_5461,np__3) = U_5462
| ~ sP990(U_5461,U_5462,U_5464,U_5463) )
& ! [U_5461,U_5462,U_5464,U_5463] :
( k1_funct_1(U_5461,np__2) = U_5463
| ~ sP990(U_5461,U_5462,U_5464,U_5463) )
& ! [U_5461,U_5462,U_5464,U_5463] :
( k1_funct_1(U_5461,np__1) = U_5464
| ~ sP990(U_5461,U_5462,U_5464,U_5463) )
& ! [U_5461,U_5462,U_5464,U_5463] :
( k3_finseq_1(U_5461) = np__3
| ~ sP990(U_5461,U_5462,U_5464,U_5463) )
& ! [U_5461,U_5462,U_5464,U_5463] :
( U_5461 = k11_finseq_1(U_5464,U_5463,U_5462)
| k1_funct_1(U_5461,np__3) != U_5462
| k1_funct_1(U_5461,np__2) != U_5463
| k1_funct_1(U_5461,np__1) != U_5464
| k3_finseq_1(U_5461) != np__3
| ~ sP991(U_5461,U_5462,U_5464,U_5463) )
& ! [U_5461,U_5462,U_5464,U_5463] :
( sP990(U_5461,U_5462,U_5464,U_5463)
| U_5461 != k11_finseq_1(U_5464,U_5463,U_5462)
| ~ sP991(U_5461,U_5462,U_5464,U_5463) )
& ! [U_5461,U_5462,U_5464,U_5463] :
( sP991(U_5461,U_5462,U_5464,U_5463)
| ~ v1_finseq_1(U_5461)
| ~ v1_funct_1(U_5461)
| ~ v1_relat_1(U_5461) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP990,sP991])],[f_2105_2]) ).
cnf(f_2105_4,plain,
( sP991(U_5461,U_5462,U_5464,U_5463)
| ~ v1_finseq_1(U_5461)
| ~ v1_funct_1(U_5461)
| ~ v1_relat_1(U_5461) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
cnf(f_2105_5,plain,
( sP990(U_5461,U_5462,U_5464,U_5463)
| U_5461 != k11_finseq_1(U_5464,U_5463,U_5462)
| ~ sP991(U_5461,U_5462,U_5464,U_5463) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
cnf(f_2105_6,plain,
( U_5461 = k11_finseq_1(U_5464,U_5463,U_5462)
| k1_funct_1(U_5461,np__3) != U_5462
| k1_funct_1(U_5461,np__2) != U_5463
| k1_funct_1(U_5461,np__1) != U_5464
| k3_finseq_1(U_5461) != np__3
| ~ sP991(U_5461,U_5462,U_5464,U_5463) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
cnf(f_2105_7,plain,
( k3_finseq_1(U_5461) = np__3
| ~ sP990(U_5461,U_5462,U_5464,U_5463) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
cnf(f_2105_8,plain,
( k1_funct_1(U_5461,np__1) = U_5464
| ~ sP990(U_5461,U_5462,U_5464,U_5463) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
cnf(f_2105_9,plain,
( k1_funct_1(U_5461,np__2) = U_5463
| ~ sP990(U_5461,U_5462,U_5464,U_5463) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
cnf(f_2105_10,plain,
( k1_funct_1(U_5461,np__3) = U_5462
| ~ sP990(U_5461,U_5462,U_5464,U_5463) ),
inference(clausify,[status(thm)],[f_2105_3]) ).
fof(f_2106_1,plain,
! [A] :
( ? [B] :
( ? [C] : A = k7_finseq_1(B,k9_finseq_1(C))
& v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
| A = k1_xboole_0
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t63_finseq_1]) ).
fof(f_2106_2,plain,
! [U_5467] :
( ? [U_5466] :
( ? [U_5465] : U_5467 = k7_finseq_1(U_5466,k9_finseq_1(U_5465))
& v1_finseq_1(U_5466)
& v1_funct_1(U_5466)
& v1_relat_1(U_5466) )
| U_5467 = k1_xboole_0
| ~ v1_finseq_1(U_5467)
| ~ v1_funct_1(U_5467)
| ~ v1_relat_1(U_5467) ),
inference(variable_rename,[status(thm)],[f_2106_1]) ).
fof(f_2106_3,plain,
! [U_5467] :
( ( ? [U_5465] : U_5467 = k7_finseq_1(sK669(U_5467),k9_finseq_1(U_5465))
& v1_finseq_1(sK669(U_5467))
& v1_funct_1(sK669(U_5467))
& v1_relat_1(sK669(U_5467)) )
| U_5467 = k1_xboole_0
| ~ v1_finseq_1(U_5467)
| ~ v1_funct_1(U_5467)
| ~ v1_relat_1(U_5467) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK669]),skolemize(U_5466,sK669(U_5467))],[f_2106_2]) ).
fof(f_2106_4,plain,
! [U_5467] :
( ( U_5467 = k7_finseq_1(sK669(U_5467),k9_finseq_1(sK670(U_5467)))
& v1_finseq_1(sK669(U_5467))
& v1_funct_1(sK669(U_5467))
& v1_relat_1(sK669(U_5467)) )
| U_5467 = k1_xboole_0
| ~ v1_finseq_1(U_5467)
| ~ v1_funct_1(U_5467)
| ~ v1_relat_1(U_5467) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK670]),skolemize(U_5465,sK670(U_5467))],[f_2106_3]) ).
fof(f_2106_5,plain,
( ! [U_5467] :
( U_5467 = k7_finseq_1(sK669(U_5467),k9_finseq_1(sK670(U_5467)))
| ~ sP992(U_5467) )
& ! [U_5467] :
( v1_finseq_1(sK669(U_5467))
| ~ sP992(U_5467) )
& ! [U_5467] :
( v1_funct_1(sK669(U_5467))
| ~ sP992(U_5467) )
& ! [U_5467] :
( v1_relat_1(sK669(U_5467))
| ~ sP992(U_5467) )
& ! [U_5467] :
( sP992(U_5467)
| U_5467 = k1_xboole_0
| ~ v1_finseq_1(U_5467)
| ~ v1_funct_1(U_5467)
| ~ v1_relat_1(U_5467) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP992])],[f_2106_4]) ).
cnf(f_2106_6,plain,
( sP992(U_5467)
| U_5467 = k1_xboole_0
| ~ v1_finseq_1(U_5467)
| ~ v1_funct_1(U_5467)
| ~ v1_relat_1(U_5467) ),
inference(clausify,[status(thm)],[f_2106_5]) ).
cnf(f_2106_7,plain,
( v1_relat_1(sK669(U_5467))
| ~ sP992(U_5467) ),
inference(clausify,[status(thm)],[f_2106_5]) ).
cnf(f_2106_8,plain,
( v1_funct_1(sK669(U_5467))
| ~ sP992(U_5467) ),
inference(clausify,[status(thm)],[f_2106_5]) ).
cnf(f_2106_9,plain,
( v1_finseq_1(sK669(U_5467))
| ~ sP992(U_5467) ),
inference(clausify,[status(thm)],[f_2106_5]) ).
cnf(f_2106_10,plain,
( U_5467 = k7_finseq_1(sK669(U_5467),k9_finseq_1(sK670(U_5467)))
| ~ sP992(U_5467) ),
inference(clausify,[status(thm)],[f_2106_5]) ).
fof(f_2107_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ? [E] :
( k7_finseq_1(A,E) = C
& v1_finseq_1(E)
& v1_funct_1(E)
& v1_relat_1(E) )
| ~ r1_xreal_0(k3_finseq_1(A),k3_finseq_1(C))
| k7_finseq_1(A,B) != k7_finseq_1(C,D)
| ~ v1_finseq_1(D)
| ~ v1_funct_1(D)
| ~ v1_relat_1(D) )
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t64_finseq_1]) ).
fof(f_2107_2,plain,
! [U_5472] :
( ! [U_5471] :
( ! [U_5470] :
( ! [U_5469] :
( ? [U_5468] :
( k7_finseq_1(U_5472,U_5468) = U_5470
& v1_finseq_1(U_5468)
& v1_funct_1(U_5468)
& v1_relat_1(U_5468) )
| ~ r1_xreal_0(k3_finseq_1(U_5472),k3_finseq_1(U_5470))
| k7_finseq_1(U_5472,U_5471) != k7_finseq_1(U_5470,U_5469)
| ~ v1_finseq_1(U_5469)
| ~ v1_funct_1(U_5469)
| ~ v1_relat_1(U_5469) )
| ~ v1_finseq_1(U_5470)
| ~ v1_funct_1(U_5470)
| ~ v1_relat_1(U_5470) )
| ~ v1_finseq_1(U_5471)
| ~ v1_funct_1(U_5471)
| ~ v1_relat_1(U_5471) )
| ~ v1_finseq_1(U_5472)
| ~ v1_funct_1(U_5472)
| ~ v1_relat_1(U_5472) ),
inference(variable_rename,[status(thm)],[f_2107_1]) ).
fof(f_2107_3,plain,
! [U_5472] :
( ! [U_5471] :
( ! [U_5470] :
( ! [U_5469] :
( ( k7_finseq_1(U_5472,sK671(U_5472,U_5471,U_5470,U_5469)) = U_5470
& v1_finseq_1(sK671(U_5472,U_5471,U_5470,U_5469))
& v1_funct_1(sK671(U_5472,U_5471,U_5470,U_5469))
& v1_relat_1(sK671(U_5472,U_5471,U_5470,U_5469)) )
| ~ r1_xreal_0(k3_finseq_1(U_5472),k3_finseq_1(U_5470))
| k7_finseq_1(U_5472,U_5471) != k7_finseq_1(U_5470,U_5469)
| ~ v1_finseq_1(U_5469)
| ~ v1_funct_1(U_5469)
| ~ v1_relat_1(U_5469) )
| ~ v1_finseq_1(U_5470)
| ~ v1_funct_1(U_5470)
| ~ v1_relat_1(U_5470) )
| ~ v1_finseq_1(U_5471)
| ~ v1_funct_1(U_5471)
| ~ v1_relat_1(U_5471) )
| ~ v1_finseq_1(U_5472)
| ~ v1_funct_1(U_5472)
| ~ v1_relat_1(U_5472) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK671]),skolemize(U_5468,sK671(U_5472,U_5471,U_5470,U_5469))],[f_2107_2]) ).
fof(f_2107_4,plain,
( ! [U_5472,U_5469,U_5470,U_5471] :
( k7_finseq_1(U_5472,sK671(U_5472,U_5471,U_5470,U_5469)) = U_5470
| ~ sP993(U_5472,U_5469,U_5470,U_5471) )
& ! [U_5472,U_5469,U_5470,U_5471] :
( v1_finseq_1(sK671(U_5472,U_5471,U_5470,U_5469))
| ~ sP993(U_5472,U_5469,U_5470,U_5471) )
& ! [U_5472,U_5469,U_5470,U_5471] :
( v1_funct_1(sK671(U_5472,U_5471,U_5470,U_5469))
| ~ sP993(U_5472,U_5469,U_5470,U_5471) )
& ! [U_5472,U_5469,U_5470,U_5471] :
( v1_relat_1(sK671(U_5472,U_5471,U_5470,U_5469))
| ~ sP993(U_5472,U_5469,U_5470,U_5471) )
& ! [U_5472,U_5469,U_5470,U_5471] :
( sP993(U_5472,U_5469,U_5470,U_5471)
| ~ r1_xreal_0(k3_finseq_1(U_5472),k3_finseq_1(U_5470))
| k7_finseq_1(U_5472,U_5471) != k7_finseq_1(U_5470,U_5469)
| ~ v1_finseq_1(U_5469)
| ~ v1_funct_1(U_5469)
| ~ v1_relat_1(U_5469)
| ~ v1_finseq_1(U_5470)
| ~ v1_funct_1(U_5470)
| ~ v1_relat_1(U_5470)
| ~ v1_finseq_1(U_5471)
| ~ v1_funct_1(U_5471)
| ~ v1_relat_1(U_5471)
| ~ v1_finseq_1(U_5472)
| ~ v1_funct_1(U_5472)
| ~ v1_relat_1(U_5472) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP993])],[f_2107_3]) ).
cnf(f_2107_5,plain,
( sP993(U_5472,U_5469,U_5470,U_5471)
| ~ r1_xreal_0(k3_finseq_1(U_5472),k3_finseq_1(U_5470))
| k7_finseq_1(U_5472,U_5471) != k7_finseq_1(U_5470,U_5469)
| ~ v1_finseq_1(U_5469)
| ~ v1_funct_1(U_5469)
| ~ v1_relat_1(U_5469)
| ~ v1_finseq_1(U_5470)
| ~ v1_funct_1(U_5470)
| ~ v1_relat_1(U_5470)
| ~ v1_finseq_1(U_5471)
| ~ v1_funct_1(U_5471)
| ~ v1_relat_1(U_5471)
| ~ v1_finseq_1(U_5472)
| ~ v1_funct_1(U_5472)
| ~ v1_relat_1(U_5472) ),
inference(clausify,[status(thm)],[f_2107_4]) ).
cnf(f_2107_6,plain,
( v1_relat_1(sK671(U_5472,U_5471,U_5470,U_5469))
| ~ sP993(U_5472,U_5469,U_5470,U_5471) ),
inference(clausify,[status(thm)],[f_2107_4]) ).
cnf(f_2107_7,plain,
( v1_funct_1(sK671(U_5472,U_5471,U_5470,U_5469))
| ~ sP993(U_5472,U_5469,U_5470,U_5471) ),
inference(clausify,[status(thm)],[f_2107_4]) ).
cnf(f_2107_8,plain,
( v1_finseq_1(sK671(U_5472,U_5471,U_5470,U_5469))
| ~ sP993(U_5472,U_5469,U_5470,U_5471) ),
inference(clausify,[status(thm)],[f_2107_4]) ).
cnf(f_2107_9,plain,
( k7_finseq_1(U_5472,sK671(U_5472,U_5471,U_5470,U_5469)) = U_5470
| ~ sP993(U_5472,U_5469,U_5470,U_5471) ),
inference(clausify,[status(thm)],[f_2107_4]) ).
fof(f_2108_1,plain,
! [A,B] :
( ( B = k13_finseq_1(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& m2_finseq_1(C,A) )
| ( ~ m2_finseq_1(C,A)
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ~ m2_finseq_1(C,A) )
& ( m2_finseq_1(C,A)
| ~ r2_hidden(C,B) ) )
| B != k13_finseq_1(A) ) ),
inference(fof_nnf,[status(thm)],[d11_finseq_1]) ).
fof(f_2108_2,plain,
! [U_5476,U_5475] :
( ( U_5475 = k13_finseq_1(U_5476)
| ? [U_5474] :
( ( ~ r2_hidden(U_5474,U_5475)
& m2_finseq_1(U_5474,U_5476) )
| ( ~ m2_finseq_1(U_5474,U_5476)
& r2_hidden(U_5474,U_5475) ) ) )
& ( ! [U_5473] :
( ( r2_hidden(U_5473,U_5475)
| ~ m2_finseq_1(U_5473,U_5476) )
& ( m2_finseq_1(U_5473,U_5476)
| ~ r2_hidden(U_5473,U_5475) ) )
| U_5475 != k13_finseq_1(U_5476) ) ),
inference(variable_rename,[status(thm)],[f_2108_1]) ).
fof(f_2108_3,plain,
( ! [U_5484,U_5482] :
( U_5482 = k13_finseq_1(U_5484)
| ? [U_5480] :
( ~ r2_hidden(U_5480,U_5482)
& m2_finseq_1(U_5480,U_5484) )
| ? [U_5479] :
( ~ m2_finseq_1(U_5479,U_5484)
& r2_hidden(U_5479,U_5482) ) )
& ! [U_5483,U_5481] :
( ( ! [U_5478] :
( r2_hidden(U_5478,U_5481)
| ~ m2_finseq_1(U_5478,U_5483) )
& ! [U_5477] :
( m2_finseq_1(U_5477,U_5483)
| ~ r2_hidden(U_5477,U_5481) ) )
| U_5481 != k13_finseq_1(U_5483) ) ),
inference(miniscope,[status(thm)],[f_2108_2]) ).
fof(f_2108_4,plain,
( ! [U_5484,U_5482] :
( U_5482 = k13_finseq_1(U_5484)
| ? [U_5480] :
( ~ r2_hidden(U_5480,U_5482)
& m2_finseq_1(U_5480,U_5484) )
| ( ~ m2_finseq_1(sK672(U_5484,U_5482),U_5484)
& r2_hidden(sK672(U_5484,U_5482),U_5482) ) )
& ! [U_5483,U_5481] :
( ( ! [U_5478] :
( r2_hidden(U_5478,U_5481)
| ~ m2_finseq_1(U_5478,U_5483) )
& ! [U_5477] :
( m2_finseq_1(U_5477,U_5483)
| ~ r2_hidden(U_5477,U_5481) ) )
| U_5481 != k13_finseq_1(U_5483) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK672]),skolemize(U_5479,sK672(U_5484,U_5482))],[f_2108_3]) ).
fof(f_2108_5,plain,
( ! [U_5484,U_5482] :
( U_5482 = k13_finseq_1(U_5484)
| ( ~ r2_hidden(sK673(U_5484,U_5482),U_5482)
& m2_finseq_1(sK673(U_5484,U_5482),U_5484) )
| ( ~ m2_finseq_1(sK672(U_5484,U_5482),U_5484)
& r2_hidden(sK672(U_5484,U_5482),U_5482) ) )
& ! [U_5483,U_5481] :
( ( ! [U_5478] :
( r2_hidden(U_5478,U_5481)
| ~ m2_finseq_1(U_5478,U_5483) )
& ! [U_5477] :
( m2_finseq_1(U_5477,U_5483)
| ~ r2_hidden(U_5477,U_5481) ) )
| U_5481 != k13_finseq_1(U_5483) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK673]),skolemize(U_5480,sK673(U_5484,U_5482))],[f_2108_4]) ).
fof(f_2108_6,plain,
( ! [U_5482,U_5484] :
( ~ r2_hidden(sK673(U_5484,U_5482),U_5482)
| ~ sP996(U_5482,U_5484) )
& ! [U_5482,U_5484] :
( m2_finseq_1(sK673(U_5484,U_5482),U_5484)
| ~ sP996(U_5482,U_5484) )
& ! [U_5482,U_5484] :
( ~ m2_finseq_1(sK672(U_5484,U_5482),U_5484)
| ~ sP995(U_5482,U_5484) )
& ! [U_5482,U_5484] :
( r2_hidden(sK672(U_5484,U_5482),U_5482)
| ~ sP995(U_5482,U_5484) )
& ! [U_5477,U_5478,U_5483,U_5481] :
( r2_hidden(U_5478,U_5481)
| ~ m2_finseq_1(U_5478,U_5483)
| ~ sP994(U_5477,U_5478,U_5483,U_5481) )
& ! [U_5477,U_5478,U_5483,U_5481] :
( m2_finseq_1(U_5477,U_5483)
| ~ r2_hidden(U_5477,U_5481)
| ~ sP994(U_5477,U_5478,U_5483,U_5481) )
& ! [U_5482,U_5484] :
( U_5482 = k13_finseq_1(U_5484)
| sP996(U_5482,U_5484)
| sP995(U_5482,U_5484) )
& ! [U_5477,U_5478,U_5483,U_5481] :
( sP994(U_5477,U_5478,U_5483,U_5481)
| U_5481 != k13_finseq_1(U_5483) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP994,sP995,sP996])],[f_2108_5]) ).
cnf(f_2108_7,plain,
( sP994(U_5477,U_5478,U_5483,U_5481)
| U_5481 != k13_finseq_1(U_5483) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_8,plain,
( U_5482 = k13_finseq_1(U_5484)
| sP996(U_5482,U_5484)
| sP995(U_5482,U_5484) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_9,plain,
( m2_finseq_1(U_5477,U_5483)
| ~ r2_hidden(U_5477,U_5481)
| ~ sP994(U_5477,U_5478,U_5483,U_5481) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_10,plain,
( r2_hidden(U_5478,U_5481)
| ~ m2_finseq_1(U_5478,U_5483)
| ~ sP994(U_5477,U_5478,U_5483,U_5481) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_11,plain,
( r2_hidden(sK672(U_5484,U_5482),U_5482)
| ~ sP995(U_5482,U_5484) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_12,plain,
( ~ m2_finseq_1(sK672(U_5484,U_5482),U_5484)
| ~ sP995(U_5482,U_5484) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_13,plain,
( m2_finseq_1(sK673(U_5484,U_5482),U_5484)
| ~ sP996(U_5482,U_5484) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
cnf(f_2108_14,plain,
( ~ r2_hidden(sK673(U_5484,U_5482),U_5482)
| ~ sP996(U_5482,U_5484) ),
inference(clausify,[status(thm)],[f_2108_6]) ).
fof(f_2109_1,plain,
! [A] :
( ! [B] :
( k3_finseq_1(A) = k3_finseq_1(B)
| ~ v2_funct_1(B)
| ~ v2_funct_1(A)
| k2_relat_1(A) != k2_relat_1(B)
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t65_finseq_1]) ).
fof(f_2109_2,plain,
! [U_5486] :
( ! [U_5485] :
( k3_finseq_1(U_5486) = k3_finseq_1(U_5485)
| ~ v2_funct_1(U_5485)
| ~ v2_funct_1(U_5486)
| k2_relat_1(U_5486) != k2_relat_1(U_5485)
| ~ v1_finseq_1(U_5485)
| ~ v1_funct_1(U_5485)
| ~ v1_relat_1(U_5485) )
| ~ v1_finseq_1(U_5486)
| ~ v1_funct_1(U_5486)
| ~ v1_relat_1(U_5486) ),
inference(variable_rename,[status(thm)],[f_2109_1]) ).
fof(f_2109_3,plain,
! [U_5485,U_5486] :
( k3_finseq_1(U_5486) = k3_finseq_1(U_5485)
| ~ v2_funct_1(U_5485)
| ~ v2_funct_1(U_5486)
| k2_relat_1(U_5486) != k2_relat_1(U_5485)
| ~ v1_finseq_1(U_5485)
| ~ v1_funct_1(U_5485)
| ~ v1_relat_1(U_5485)
| ~ v1_finseq_1(U_5486)
| ~ v1_funct_1(U_5486)
| ~ v1_relat_1(U_5486) ),
inference(definitional_conversion,[status(esa)],[f_2109_2]) ).
cnf(f_2109_4,plain,
( k3_finseq_1(U_5486) = k3_finseq_1(U_5485)
| ~ v2_funct_1(U_5485)
| ~ v2_funct_1(U_5486)
| k2_relat_1(U_5486) != k2_relat_1(U_5485)
| ~ v1_finseq_1(U_5485)
| ~ v1_funct_1(U_5485)
| ~ v1_relat_1(U_5485)
| ~ v1_finseq_1(U_5486)
| ~ v1_funct_1(U_5486)
| ~ v1_relat_1(U_5486) ),
inference(clausify,[status(thm)],[f_2109_3]) ).
fof(f_2110_1,plain,
! [A] : r2_hidden(k1_xboole_0,k13_finseq_1(A)),
inference(fof_nnf,[status(thm)],[t66_finseq_1]) ).
fof(f_2110_2,plain,
! [U_5487] : r2_hidden(k1_xboole_0,k13_finseq_1(U_5487)),
inference(variable_rename,[status(thm)],[f_2110_1]) ).
fof(f_2110_3,plain,
! [U_5487] : r2_hidden(k1_xboole_0,k13_finseq_1(U_5487)),
inference(definitional_conversion,[status(esa)],[f_2110_2]) ).
cnf(f_2110_4,plain,
r2_hidden(k1_xboole_0,k13_finseq_1(U_5487)),
inference(clausify,[status(thm)],[f_2110_3]) ).
fof(f_2111_1,plain,
! [A] :
( ( ( v2_finseq_1(A)
| ! [B] :
( ~ r1_tarski(k1_relat_1(A),k2_finseq_1(B))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) ) )
& ( ? [B] :
( r1_tarski(k1_relat_1(A),k2_finseq_1(B))
& m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v2_finseq_1(A) ) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d12_finseq_1]) ).
fof(f_2111_2,plain,
! [U_5490] :
( ( ( v2_finseq_1(U_5490)
| ! [U_5489] :
( ~ r1_tarski(k1_relat_1(U_5490),k2_finseq_1(U_5489))
| ~ m2_subset_1(U_5489,k1_numbers,k5_numbers) ) )
& ( ? [U_5488] :
( r1_tarski(k1_relat_1(U_5490),k2_finseq_1(U_5488))
& m2_subset_1(U_5488,k1_numbers,k5_numbers) )
| ~ v2_finseq_1(U_5490) ) )
| ~ v1_funct_1(U_5490)
| ~ v1_relat_1(U_5490) ),
inference(variable_rename,[status(thm)],[f_2111_1]) ).
fof(f_2111_3,plain,
! [U_5490] :
( ( ( v2_finseq_1(U_5490)
| ! [U_5489] :
( ~ r1_tarski(k1_relat_1(U_5490),k2_finseq_1(U_5489))
| ~ m2_subset_1(U_5489,k1_numbers,k5_numbers) ) )
& ( ( r1_tarski(k1_relat_1(U_5490),k2_finseq_1(sK674(U_5490)))
& m2_subset_1(sK674(U_5490),k1_numbers,k5_numbers) )
| ~ v2_finseq_1(U_5490) ) )
| ~ v1_funct_1(U_5490)
| ~ v1_relat_1(U_5490) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK674]),skolemize(U_5488,sK674(U_5490))],[f_2111_2]) ).
fof(f_2111_4,plain,
( ! [U_5490] :
( r1_tarski(k1_relat_1(U_5490),k2_finseq_1(sK674(U_5490)))
| ~ sP997(U_5490) )
& ! [U_5490] :
( m2_subset_1(sK674(U_5490),k1_numbers,k5_numbers)
| ~ sP997(U_5490) )
& ! [U_5489,U_5490] :
( v2_finseq_1(U_5490)
| ~ r1_tarski(k1_relat_1(U_5490),k2_finseq_1(U_5489))
| ~ m2_subset_1(U_5489,k1_numbers,k5_numbers)
| ~ sP998(U_5489,U_5490) )
& ! [U_5489,U_5490] :
( sP997(U_5490)
| ~ v2_finseq_1(U_5490)
| ~ sP998(U_5489,U_5490) )
& ! [U_5489,U_5490] :
( sP998(U_5489,U_5490)
| ~ v1_funct_1(U_5490)
| ~ v1_relat_1(U_5490) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP997,sP998])],[f_2111_3]) ).
cnf(f_2111_5,plain,
( sP998(U_5489,U_5490)
| ~ v1_funct_1(U_5490)
| ~ v1_relat_1(U_5490) ),
inference(clausify,[status(thm)],[f_2111_4]) ).
cnf(f_2111_6,plain,
( sP997(U_5490)
| ~ v2_finseq_1(U_5490)
| ~ sP998(U_5489,U_5490) ),
inference(clausify,[status(thm)],[f_2111_4]) ).
cnf(f_2111_7,plain,
( v2_finseq_1(U_5490)
| ~ r1_tarski(k1_relat_1(U_5490),k2_finseq_1(U_5489))
| ~ m2_subset_1(U_5489,k1_numbers,k5_numbers)
| ~ sP998(U_5489,U_5490) ),
inference(clausify,[status(thm)],[f_2111_4]) ).
cnf(f_2111_8,plain,
( m2_subset_1(sK674(U_5490),k1_numbers,k5_numbers)
| ~ sP997(U_5490) ),
inference(clausify,[status(thm)],[f_2111_4]) ).
cnf(f_2111_9,plain,
( r1_tarski(k1_relat_1(U_5490),k2_finseq_1(sK674(U_5490)))
| ~ sP997(U_5490) ),
inference(clausify,[status(thm)],[f_2111_4]) ).
fof(f_2112_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t67_finseq_1]) ).
fof(f_2112_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2112_1]) ).
cnf(f_2112_3,plain,
$true,
inference(clausify,[status(thm)],[f_2112_2]) ).
fof(f_2113_1,plain,
! [A] :
( ( v2_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t68_finseq_1]) ).
fof(f_2113_2,plain,
! [U_5491] :
( ( v2_finseq_1(U_5491)
& v1_funct_1(U_5491)
& v1_relat_1(U_5491) )
| ~ v1_finseq_1(U_5491)
| ~ v1_funct_1(U_5491)
| ~ v1_relat_1(U_5491) ),
inference(variable_rename,[status(thm)],[f_2113_1]) ).
fof(f_2113_3,plain,
( ! [U_5491] :
( v2_finseq_1(U_5491)
| ~ sP999(U_5491) )
& ! [U_5491] :
( v1_funct_1(U_5491)
| ~ sP999(U_5491) )
& ! [U_5491] :
( v1_relat_1(U_5491)
| ~ sP999(U_5491) )
& ! [U_5491] :
( sP999(U_5491)
| ~ v1_finseq_1(U_5491)
| ~ v1_funct_1(U_5491)
| ~ v1_relat_1(U_5491) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP999])],[f_2113_2]) ).
cnf(f_2113_4,plain,
( sP999(U_5491)
| ~ v1_finseq_1(U_5491)
| ~ v1_funct_1(U_5491)
| ~ v1_relat_1(U_5491) ),
inference(clausify,[status(thm)],[f_2113_3]) ).
cnf(f_2113_5,plain,
( v1_relat_1(U_5491)
| ~ sP999(U_5491) ),
inference(clausify,[status(thm)],[f_2113_3]) ).
cnf(f_2113_6,plain,
( v1_funct_1(U_5491)
| ~ sP999(U_5491) ),
inference(clausify,[status(thm)],[f_2113_3]) ).
cnf(f_2113_7,plain,
( v2_finseq_1(U_5491)
| ~ sP999(U_5491) ),
inference(clausify,[status(thm)],[f_2113_3]) ).
fof(f_2114_1,plain,
! [A,B] :
( ( v2_finseq_1(k8_relat_1(A,B))
& v1_funct_1(k8_relat_1(A,B))
& v1_relat_1(k8_relat_1(A,B))
& v2_finseq_1(k7_relat_1(B,A))
& v1_funct_1(k7_relat_1(B,A))
& v1_relat_1(k7_relat_1(B,A)) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[t69_finseq_1]) ).
fof(f_2114_2,plain,
! [U_5493,U_5492] :
( ( v2_finseq_1(k8_relat_1(U_5493,U_5492))
& v1_funct_1(k8_relat_1(U_5493,U_5492))
& v1_relat_1(k8_relat_1(U_5493,U_5492))
& v2_finseq_1(k7_relat_1(U_5492,U_5493))
& v1_funct_1(k7_relat_1(U_5492,U_5493))
& v1_relat_1(k7_relat_1(U_5492,U_5493)) )
| ~ v1_finseq_1(U_5492)
| ~ v1_funct_1(U_5492)
| ~ v1_relat_1(U_5492) ),
inference(variable_rename,[status(thm)],[f_2114_1]) ).
fof(f_2114_3,plain,
( ! [U_5492,U_5493] :
( v2_finseq_1(k8_relat_1(U_5493,U_5492))
| ~ sP1000(U_5492,U_5493) )
& ! [U_5492,U_5493] :
( v1_funct_1(k8_relat_1(U_5493,U_5492))
| ~ sP1000(U_5492,U_5493) )
& ! [U_5492,U_5493] :
( v1_relat_1(k8_relat_1(U_5493,U_5492))
| ~ sP1000(U_5492,U_5493) )
& ! [U_5492,U_5493] :
( v2_finseq_1(k7_relat_1(U_5492,U_5493))
| ~ sP1000(U_5492,U_5493) )
& ! [U_5492,U_5493] :
( v1_funct_1(k7_relat_1(U_5492,U_5493))
| ~ sP1000(U_5492,U_5493) )
& ! [U_5492,U_5493] :
( v1_relat_1(k7_relat_1(U_5492,U_5493))
| ~ sP1000(U_5492,U_5493) )
& ! [U_5492,U_5493] :
( sP1000(U_5492,U_5493)
| ~ v1_finseq_1(U_5492)
| ~ v1_funct_1(U_5492)
| ~ v1_relat_1(U_5492) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1000])],[f_2114_2]) ).
cnf(f_2114_4,plain,
( sP1000(U_5492,U_5493)
| ~ v1_finseq_1(U_5492)
| ~ v1_funct_1(U_5492)
| ~ v1_relat_1(U_5492) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
cnf(f_2114_5,plain,
( v1_relat_1(k7_relat_1(U_5492,U_5493))
| ~ sP1000(U_5492,U_5493) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
cnf(f_2114_6,plain,
( v1_funct_1(k7_relat_1(U_5492,U_5493))
| ~ sP1000(U_5492,U_5493) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
cnf(f_2114_7,plain,
( v2_finseq_1(k7_relat_1(U_5492,U_5493))
| ~ sP1000(U_5492,U_5493) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
cnf(f_2114_8,plain,
( v1_relat_1(k8_relat_1(U_5493,U_5492))
| ~ sP1000(U_5492,U_5493) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
cnf(f_2114_9,plain,
( v1_funct_1(k8_relat_1(U_5493,U_5492))
| ~ sP1000(U_5492,U_5493) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
cnf(f_2114_10,plain,
( v2_finseq_1(k8_relat_1(U_5493,U_5492))
| ~ sP1000(U_5492,U_5493) ),
inference(clausify,[status(thm)],[f_2114_3]) ).
fof(f_2115_1,plain,
! [A] :
( ! [B] :
( ( ( B = k14_finseq_1(A)
| ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( r1_xreal_0(F,E)
& F = k1_funct_1(B,D)
& E = k1_funct_1(B,C)
& r1_xreal_0(D,k3_finseq_1(B))
& ~ r1_xreal_0(D,C)
& r1_xreal_0(np__1,C)
& v4_ordinal2(F) )
& v4_ordinal2(E) )
& v4_ordinal2(D) )
& v4_ordinal2(C) )
| k2_relat_1(B) != A )
& ( ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ~ r1_xreal_0(F,E)
| F != k1_funct_1(B,D)
| E != k1_funct_1(B,C)
| ~ r1_xreal_0(D,k3_finseq_1(B))
| r1_xreal_0(D,C)
| ~ r1_xreal_0(np__1,C)
| ~ v4_ordinal2(F) )
| ~ v4_ordinal2(E) )
| ~ v4_ordinal2(D) )
| ~ v4_ordinal2(C) )
& k2_relat_1(B) = A )
| B != k14_finseq_1(A) ) )
| ~ m2_finseq_1(B,k5_numbers) )
| ! [B] :
( ~ r1_tarski(A,k2_finseq_1(B))
| ~ v4_ordinal2(B) ) ),
inference(fof_nnf,[status(thm)],[d13_finseq_1]) ).
fof(f_2115_2,plain,
! [U_5504] :
( ! [U_5503] :
( ( ( U_5503 = k14_finseq_1(U_5504)
| ? [U_5502] :
( ? [U_5501] :
( ? [U_5500] :
( ? [U_5499] :
( r1_xreal_0(U_5499,U_5500)
& U_5499 = k1_funct_1(U_5503,U_5501)
& U_5500 = k1_funct_1(U_5503,U_5502)
& r1_xreal_0(U_5501,k3_finseq_1(U_5503))
& ~ r1_xreal_0(U_5501,U_5502)
& r1_xreal_0(np__1,U_5502)
& v4_ordinal2(U_5499) )
& v4_ordinal2(U_5500) )
& v4_ordinal2(U_5501) )
& v4_ordinal2(U_5502) )
| k2_relat_1(U_5503) != U_5504 )
& ( ( ! [U_5498] :
( ! [U_5497] :
( ! [U_5496] :
( ! [U_5495] :
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495) )
| ~ v4_ordinal2(U_5496) )
| ~ v4_ordinal2(U_5497) )
| ~ v4_ordinal2(U_5498) )
& k2_relat_1(U_5503) = U_5504 )
| U_5503 != k14_finseq_1(U_5504) ) )
| ~ m2_finseq_1(U_5503,k5_numbers) )
| ! [U_5494] :
( ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ) ),
inference(variable_rename,[status(thm)],[f_2115_1]) ).
fof(f_2115_3,plain,
! [U_5504] :
( ! [U_5503] :
( ( ( U_5503 = k14_finseq_1(U_5504)
| ( ? [U_5501] :
( ? [U_5500] :
( ? [U_5499] :
( r1_xreal_0(U_5499,U_5500)
& U_5499 = k1_funct_1(U_5503,U_5501)
& U_5500 = k1_funct_1(U_5503,sK675(U_5504,U_5503))
& r1_xreal_0(U_5501,k3_finseq_1(U_5503))
& ~ r1_xreal_0(U_5501,sK675(U_5504,U_5503))
& r1_xreal_0(np__1,sK675(U_5504,U_5503))
& v4_ordinal2(U_5499) )
& v4_ordinal2(U_5500) )
& v4_ordinal2(U_5501) )
& v4_ordinal2(sK675(U_5504,U_5503)) )
| k2_relat_1(U_5503) != U_5504 )
& ( ( ! [U_5498] :
( ! [U_5497] :
( ! [U_5496] :
( ! [U_5495] :
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495) )
| ~ v4_ordinal2(U_5496) )
| ~ v4_ordinal2(U_5497) )
| ~ v4_ordinal2(U_5498) )
& k2_relat_1(U_5503) = U_5504 )
| U_5503 != k14_finseq_1(U_5504) ) )
| ~ m2_finseq_1(U_5503,k5_numbers) )
| ! [U_5494] :
( ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK675]),skolemize(U_5502,sK675(U_5504,U_5503))],[f_2115_2]) ).
fof(f_2115_4,plain,
! [U_5504] :
( ! [U_5503] :
( ( ( U_5503 = k14_finseq_1(U_5504)
| ( ? [U_5500] :
( ? [U_5499] :
( r1_xreal_0(U_5499,U_5500)
& U_5499 = k1_funct_1(U_5503,sK676(U_5504,U_5503))
& U_5500 = k1_funct_1(U_5503,sK675(U_5504,U_5503))
& r1_xreal_0(sK676(U_5504,U_5503),k3_finseq_1(U_5503))
& ~ r1_xreal_0(sK676(U_5504,U_5503),sK675(U_5504,U_5503))
& r1_xreal_0(np__1,sK675(U_5504,U_5503))
& v4_ordinal2(U_5499) )
& v4_ordinal2(U_5500) )
& v4_ordinal2(sK676(U_5504,U_5503))
& v4_ordinal2(sK675(U_5504,U_5503)) )
| k2_relat_1(U_5503) != U_5504 )
& ( ( ! [U_5498] :
( ! [U_5497] :
( ! [U_5496] :
( ! [U_5495] :
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495) )
| ~ v4_ordinal2(U_5496) )
| ~ v4_ordinal2(U_5497) )
| ~ v4_ordinal2(U_5498) )
& k2_relat_1(U_5503) = U_5504 )
| U_5503 != k14_finseq_1(U_5504) ) )
| ~ m2_finseq_1(U_5503,k5_numbers) )
| ! [U_5494] :
( ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK676]),skolemize(U_5501,sK676(U_5504,U_5503))],[f_2115_3]) ).
fof(f_2115_5,plain,
! [U_5504] :
( ! [U_5503] :
( ( ( U_5503 = k14_finseq_1(U_5504)
| ( ? [U_5499] :
( r1_xreal_0(U_5499,sK677(U_5504,U_5503))
& U_5499 = k1_funct_1(U_5503,sK676(U_5504,U_5503))
& sK677(U_5504,U_5503) = k1_funct_1(U_5503,sK675(U_5504,U_5503))
& r1_xreal_0(sK676(U_5504,U_5503),k3_finseq_1(U_5503))
& ~ r1_xreal_0(sK676(U_5504,U_5503),sK675(U_5504,U_5503))
& r1_xreal_0(np__1,sK675(U_5504,U_5503))
& v4_ordinal2(U_5499) )
& v4_ordinal2(sK677(U_5504,U_5503))
& v4_ordinal2(sK676(U_5504,U_5503))
& v4_ordinal2(sK675(U_5504,U_5503)) )
| k2_relat_1(U_5503) != U_5504 )
& ( ( ! [U_5498] :
( ! [U_5497] :
( ! [U_5496] :
( ! [U_5495] :
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495) )
| ~ v4_ordinal2(U_5496) )
| ~ v4_ordinal2(U_5497) )
| ~ v4_ordinal2(U_5498) )
& k2_relat_1(U_5503) = U_5504 )
| U_5503 != k14_finseq_1(U_5504) ) )
| ~ m2_finseq_1(U_5503,k5_numbers) )
| ! [U_5494] :
( ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK677]),skolemize(U_5500,sK677(U_5504,U_5503))],[f_2115_4]) ).
fof(f_2115_6,plain,
! [U_5504] :
( ! [U_5503] :
( ( ( U_5503 = k14_finseq_1(U_5504)
| ( r1_xreal_0(sK678(U_5504,U_5503),sK677(U_5504,U_5503))
& sK678(U_5504,U_5503) = k1_funct_1(U_5503,sK676(U_5504,U_5503))
& sK677(U_5504,U_5503) = k1_funct_1(U_5503,sK675(U_5504,U_5503))
& r1_xreal_0(sK676(U_5504,U_5503),k3_finseq_1(U_5503))
& ~ r1_xreal_0(sK676(U_5504,U_5503),sK675(U_5504,U_5503))
& r1_xreal_0(np__1,sK675(U_5504,U_5503))
& v4_ordinal2(sK678(U_5504,U_5503))
& v4_ordinal2(sK677(U_5504,U_5503))
& v4_ordinal2(sK676(U_5504,U_5503))
& v4_ordinal2(sK675(U_5504,U_5503)) )
| k2_relat_1(U_5503) != U_5504 )
& ( ( ! [U_5498] :
( ! [U_5497] :
( ! [U_5496] :
( ! [U_5495] :
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495) )
| ~ v4_ordinal2(U_5496) )
| ~ v4_ordinal2(U_5497) )
| ~ v4_ordinal2(U_5498) )
& k2_relat_1(U_5503) = U_5504 )
| U_5503 != k14_finseq_1(U_5504) ) )
| ~ m2_finseq_1(U_5503,k5_numbers) )
| ! [U_5494] :
( ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK678]),skolemize(U_5499,sK678(U_5504,U_5503))],[f_2115_5]) ).
fof(f_2115_7,plain,
( ! [U_5503,U_5504] :
( r1_xreal_0(sK678(U_5504,U_5503),sK677(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( sK678(U_5504,U_5503) = k1_funct_1(U_5503,sK676(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( sK677(U_5504,U_5503) = k1_funct_1(U_5503,sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( r1_xreal_0(sK676(U_5504,U_5503),k3_finseq_1(U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( ~ r1_xreal_0(sK676(U_5504,U_5503),sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( r1_xreal_0(np__1,sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( v4_ordinal2(sK678(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( v4_ordinal2(sK677(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( v4_ordinal2(sK676(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5504] :
( v4_ordinal2(sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) )
& ! [U_5503,U_5495,U_5497,U_5496,U_5498,U_5504] :
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495)
| ~ v4_ordinal2(U_5496)
| ~ v4_ordinal2(U_5497)
| ~ v4_ordinal2(U_5498)
| ~ sP1001(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) )
& ! [U_5503,U_5495,U_5497,U_5496,U_5498,U_5504] :
( k2_relat_1(U_5503) = U_5504
| ~ sP1001(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) )
& ! [U_5503,U_5495,U_5497,U_5496,U_5498,U_5504] :
( U_5503 = k14_finseq_1(U_5504)
| sP1002(U_5503,U_5504)
| k2_relat_1(U_5503) != U_5504
| ~ sP1003(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) )
& ! [U_5503,U_5495,U_5497,U_5496,U_5498,U_5504] :
( sP1001(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504)
| U_5503 != k14_finseq_1(U_5504)
| ~ sP1003(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) )
& ! [U_5503,U_5494,U_5495,U_5497,U_5496,U_5498,U_5504] :
( sP1003(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504)
| ~ m2_finseq_1(U_5503,k5_numbers)
| ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1001,sP1002,sP1003])],[f_2115_6]) ).
cnf(f_2115_8,plain,
( sP1003(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504)
| ~ m2_finseq_1(U_5503,k5_numbers)
| ~ r1_tarski(U_5504,k2_finseq_1(U_5494))
| ~ v4_ordinal2(U_5494) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_9,plain,
( sP1001(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504)
| U_5503 != k14_finseq_1(U_5504)
| ~ sP1003(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_10,plain,
( U_5503 = k14_finseq_1(U_5504)
| sP1002(U_5503,U_5504)
| k2_relat_1(U_5503) != U_5504
| ~ sP1003(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_11,plain,
( k2_relat_1(U_5503) = U_5504
| ~ sP1001(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_12,plain,
( ~ r1_xreal_0(U_5495,U_5496)
| U_5495 != k1_funct_1(U_5503,U_5497)
| U_5496 != k1_funct_1(U_5503,U_5498)
| ~ r1_xreal_0(U_5497,k3_finseq_1(U_5503))
| r1_xreal_0(U_5497,U_5498)
| ~ r1_xreal_0(np__1,U_5498)
| ~ v4_ordinal2(U_5495)
| ~ v4_ordinal2(U_5496)
| ~ v4_ordinal2(U_5497)
| ~ v4_ordinal2(U_5498)
| ~ sP1001(U_5503,U_5495,U_5497,U_5496,U_5498,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_13,plain,
( v4_ordinal2(sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_14,plain,
( v4_ordinal2(sK676(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_15,plain,
( v4_ordinal2(sK677(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_16,plain,
( v4_ordinal2(sK678(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_17,plain,
( r1_xreal_0(np__1,sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_18,plain,
( ~ r1_xreal_0(sK676(U_5504,U_5503),sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_19,plain,
( r1_xreal_0(sK676(U_5504,U_5503),k3_finseq_1(U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_20,plain,
( sK677(U_5504,U_5503) = k1_funct_1(U_5503,sK675(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_21,plain,
( sK678(U_5504,U_5503) = k1_funct_1(U_5503,sK676(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
cnf(f_2115_22,plain,
( r1_xreal_0(sK678(U_5504,U_5503),sK677(U_5504,U_5503))
| ~ sP1002(U_5503,U_5504) ),
inference(clausify,[status(thm)],[f_2115_7]) ).
fof(f_2116_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t70_finseq_1]) ).
fof(f_2116_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2116_1]) ).
cnf(f_2116_3,plain,
$true,
inference(clausify,[status(thm)],[f_2116_2]) ).
fof(f_2117_1,plain,
! [A] :
( k2_relat_1(k14_finseq_1(k1_relat_1(A))) = k1_relat_1(A)
| ~ v2_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t71_finseq_1]) ).
fof(f_2117_2,plain,
! [U_5505] :
( k2_relat_1(k14_finseq_1(k1_relat_1(U_5505))) = k1_relat_1(U_5505)
| ~ v2_finseq_1(U_5505)
| ~ v1_funct_1(U_5505)
| ~ v1_relat_1(U_5505) ),
inference(variable_rename,[status(thm)],[f_2117_1]) ).
fof(f_2117_3,plain,
! [U_5505] :
( k2_relat_1(k14_finseq_1(k1_relat_1(U_5505))) = k1_relat_1(U_5505)
| ~ v2_finseq_1(U_5505)
| ~ v1_funct_1(U_5505)
| ~ v1_relat_1(U_5505) ),
inference(definitional_conversion,[status(esa)],[f_2117_2]) ).
cnf(f_2117_4,plain,
( k2_relat_1(k14_finseq_1(k1_relat_1(U_5505))) = k1_relat_1(U_5505)
| ~ v2_finseq_1(U_5505)
| ~ v1_funct_1(U_5505)
| ~ v1_relat_1(U_5505) ),
inference(clausify,[status(thm)],[f_2117_3]) ).
fof(f_2118_1,plain,
! [A] :
( k15_finseq_1(A) = k5_relat_1(k14_finseq_1(k1_relat_1(A)),A)
| ~ v2_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d14_finseq_1]) ).
fof(f_2118_2,plain,
! [U_5506] :
( k15_finseq_1(U_5506) = k5_relat_1(k14_finseq_1(k1_relat_1(U_5506)),U_5506)
| ~ v2_finseq_1(U_5506)
| ~ v1_funct_1(U_5506)
| ~ v1_relat_1(U_5506) ),
inference(variable_rename,[status(thm)],[f_2118_1]) ).
fof(f_2118_3,plain,
! [U_5506] :
( k15_finseq_1(U_5506) = k5_relat_1(k14_finseq_1(k1_relat_1(U_5506)),U_5506)
| ~ v2_finseq_1(U_5506)
| ~ v1_funct_1(U_5506)
| ~ v1_relat_1(U_5506) ),
inference(definitional_conversion,[status(esa)],[f_2118_2]) ).
cnf(f_2118_4,plain,
( k15_finseq_1(U_5506) = k5_relat_1(k14_finseq_1(k1_relat_1(U_5506)),U_5506)
| ~ v2_finseq_1(U_5506)
| ~ v1_funct_1(U_5506)
| ~ v1_relat_1(U_5506) ),
inference(clausify,[status(thm)],[f_2118_3]) ).
fof(f_2119_1,plain,
! [A] :
( ( ( k14_finseq_1(A) = k1_xboole_0
| A != k1_xboole_0 )
& ( A = k1_xboole_0
| k14_finseq_1(A) != k1_xboole_0 ) )
| ! [B] :
( ~ r1_tarski(A,k2_finseq_1(B))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) ) ),
inference(fof_nnf,[status(thm)],[t72_finseq_1]) ).
fof(f_2119_2,plain,
! [U_5508] :
( ( ( k14_finseq_1(U_5508) = k1_xboole_0
| U_5508 != k1_xboole_0 )
& ( U_5508 = k1_xboole_0
| k14_finseq_1(U_5508) != k1_xboole_0 ) )
| ! [U_5507] :
( ~ r1_tarski(U_5508,k2_finseq_1(U_5507))
| ~ m2_subset_1(U_5507,k1_numbers,k5_numbers) ) ),
inference(variable_rename,[status(thm)],[f_2119_1]) ).
fof(f_2119_3,plain,
( ! [U_5508] :
( k14_finseq_1(U_5508) = k1_xboole_0
| U_5508 != k1_xboole_0
| ~ sP1004(U_5508) )
& ! [U_5508] :
( U_5508 = k1_xboole_0
| k14_finseq_1(U_5508) != k1_xboole_0
| ~ sP1004(U_5508) )
& ! [U_5508,U_5507] :
( sP1004(U_5508)
| ~ r1_tarski(U_5508,k2_finseq_1(U_5507))
| ~ m2_subset_1(U_5507,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1004])],[f_2119_2]) ).
cnf(f_2119_4,plain,
( sP1004(U_5508)
| ~ r1_tarski(U_5508,k2_finseq_1(U_5507))
| ~ m2_subset_1(U_5507,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2119_3]) ).
cnf(f_2119_5,plain,
( U_5508 = k1_xboole_0
| k14_finseq_1(U_5508) != k1_xboole_0
| ~ sP1004(U_5508) ),
inference(clausify,[status(thm)],[f_2119_3]) ).
cnf(f_2119_6,plain,
( k14_finseq_1(U_5508) = k1_xboole_0
| U_5508 != k1_xboole_0
| ~ sP1004(U_5508) ),
inference(clausify,[status(thm)],[f_2119_3]) ).
fof(f_2120_1,plain,
! [A] :
( ( v1_finset_1(A)
| ! [B] :
( A != k2_relat_1(B)
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ) )
& ( ? [B] :
( A = k2_relat_1(B)
& v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
| ~ v1_finset_1(A) ) ),
inference(fof_nnf,[status(thm)],[t73_finseq_1]) ).
fof(f_2120_2,plain,
! [U_5511] :
( ( v1_finset_1(U_5511)
| ! [U_5510] :
( U_5511 != k2_relat_1(U_5510)
| ~ v1_finseq_1(U_5510)
| ~ v1_funct_1(U_5510)
| ~ v1_relat_1(U_5510) ) )
& ( ? [U_5509] :
( U_5511 = k2_relat_1(U_5509)
& v1_finseq_1(U_5509)
& v1_funct_1(U_5509)
& v1_relat_1(U_5509) )
| ~ v1_finset_1(U_5511) ) ),
inference(variable_rename,[status(thm)],[f_2120_1]) ).
fof(f_2120_3,plain,
( ! [U_5513] :
( v1_finset_1(U_5513)
| ! [U_5510] :
( U_5513 != k2_relat_1(U_5510)
| ~ v1_finseq_1(U_5510)
| ~ v1_funct_1(U_5510)
| ~ v1_relat_1(U_5510) ) )
& ! [U_5512] :
( ? [U_5509] :
( U_5512 = k2_relat_1(U_5509)
& v1_finseq_1(U_5509)
& v1_funct_1(U_5509)
& v1_relat_1(U_5509) )
| ~ v1_finset_1(U_5512) ) ),
inference(miniscope,[status(thm)],[f_2120_2]) ).
fof(f_2120_4,plain,
( ! [U_5513] :
( v1_finset_1(U_5513)
| ! [U_5510] :
( U_5513 != k2_relat_1(U_5510)
| ~ v1_finseq_1(U_5510)
| ~ v1_funct_1(U_5510)
| ~ v1_relat_1(U_5510) ) )
& ! [U_5512] :
( ( U_5512 = k2_relat_1(sK679(U_5512))
& v1_finseq_1(sK679(U_5512))
& v1_funct_1(sK679(U_5512))
& v1_relat_1(sK679(U_5512)) )
| ~ v1_finset_1(U_5512) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK679]),skolemize(U_5509,sK679(U_5512))],[f_2120_3]) ).
fof(f_2120_5,plain,
( ! [U_5512] :
( U_5512 = k2_relat_1(sK679(U_5512))
| ~ sP1005(U_5512) )
& ! [U_5512] :
( v1_finseq_1(sK679(U_5512))
| ~ sP1005(U_5512) )
& ! [U_5512] :
( v1_funct_1(sK679(U_5512))
| ~ sP1005(U_5512) )
& ! [U_5512] :
( v1_relat_1(sK679(U_5512))
| ~ sP1005(U_5512) )
& ! [U_5510,U_5513] :
( v1_finset_1(U_5513)
| U_5513 != k2_relat_1(U_5510)
| ~ v1_finseq_1(U_5510)
| ~ v1_funct_1(U_5510)
| ~ v1_relat_1(U_5510) )
& ! [U_5512] :
( sP1005(U_5512)
| ~ v1_finset_1(U_5512) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1005])],[f_2120_4]) ).
cnf(f_2120_6,plain,
( sP1005(U_5512)
| ~ v1_finset_1(U_5512) ),
inference(clausify,[status(thm)],[f_2120_5]) ).
cnf(f_2120_7,plain,
( v1_finset_1(U_5513)
| U_5513 != k2_relat_1(U_5510)
| ~ v1_finseq_1(U_5510)
| ~ v1_funct_1(U_5510)
| ~ v1_relat_1(U_5510) ),
inference(clausify,[status(thm)],[f_2120_5]) ).
cnf(f_2120_8,plain,
( v1_relat_1(sK679(U_5512))
| ~ sP1005(U_5512) ),
inference(clausify,[status(thm)],[f_2120_5]) ).
cnf(f_2120_9,plain,
( v1_funct_1(sK679(U_5512))
| ~ sP1005(U_5512) ),
inference(clausify,[status(thm)],[f_2120_5]) ).
cnf(f_2120_10,plain,
( v1_finseq_1(sK679(U_5512))
| ~ sP1005(U_5512) ),
inference(clausify,[status(thm)],[f_2120_5]) ).
cnf(f_2120_11,plain,
( U_5512 = k2_relat_1(sK679(U_5512))
| ~ sP1005(U_5512) ),
inference(clausify,[status(thm)],[f_2120_5]) ).
fof(f_2121_1,plain,
! [A] :
( ! [B] :
( A = B
| ~ r2_wellord2(k2_finseq_1(A),k2_finseq_1(B))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t74_finseq_1]) ).
fof(f_2121_2,plain,
! [U_5515] :
( ! [U_5514] :
( U_5515 = U_5514
| ~ r2_wellord2(k2_finseq_1(U_5515),k2_finseq_1(U_5514))
| ~ m2_subset_1(U_5514,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5515,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2121_1]) ).
fof(f_2121_3,plain,
! [U_5514,U_5515] :
( U_5515 = U_5514
| ~ r2_wellord2(k2_finseq_1(U_5515),k2_finseq_1(U_5514))
| ~ m2_subset_1(U_5514,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5515,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2121_2]) ).
cnf(f_2121_4,plain,
( U_5515 = U_5514
| ~ r2_wellord2(k2_finseq_1(U_5515),k2_finseq_1(U_5514))
| ~ m2_subset_1(U_5514,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5515,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2121_3]) ).
fof(f_2122_1,plain,
! [A] :
( r2_wellord2(k2_finseq_1(A),A)
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t75_finseq_1]) ).
fof(f_2122_2,plain,
! [U_5516] :
( r2_wellord2(k2_finseq_1(U_5516),U_5516)
| ~ m2_subset_1(U_5516,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2122_1]) ).
fof(f_2122_3,plain,
! [U_5516] :
( r2_wellord2(k2_finseq_1(U_5516),U_5516)
| ~ m2_subset_1(U_5516,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2122_2]) ).
cnf(f_2122_4,plain,
( r2_wellord2(k2_finseq_1(U_5516),U_5516)
| ~ m2_subset_1(U_5516,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2122_3]) ).
fof(f_2123_1,plain,
! [A] :
( k1_card_1(k2_finseq_1(A)) = k1_card_1(A)
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t76_finseq_1]) ).
fof(f_2123_2,plain,
! [U_5517] :
( k1_card_1(k2_finseq_1(U_5517)) = k1_card_1(U_5517)
| ~ m2_subset_1(U_5517,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2123_1]) ).
fof(f_2123_3,plain,
! [U_5517] :
( k1_card_1(k2_finseq_1(U_5517)) = k1_card_1(U_5517)
| ~ m2_subset_1(U_5517,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2123_2]) ).
cnf(f_2123_4,plain,
( k1_card_1(k2_finseq_1(U_5517)) = k1_card_1(U_5517)
| ~ m2_subset_1(U_5517,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2123_3]) ).
fof(f_2124_1,plain,
! [A] :
( ? [B] :
( r2_wellord2(A,k2_finseq_1(B))
& m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[t77_finseq_1]) ).
fof(f_2124_2,plain,
! [U_5519] :
( ? [U_5518] :
( r2_wellord2(U_5519,k2_finseq_1(U_5518))
& m2_subset_1(U_5518,k1_numbers,k5_numbers) )
| ~ v1_finset_1(U_5519) ),
inference(variable_rename,[status(thm)],[f_2124_1]) ).
fof(f_2124_3,plain,
! [U_5519] :
( ( r2_wellord2(U_5519,k2_finseq_1(sK680(U_5519)))
& m2_subset_1(sK680(U_5519),k1_numbers,k5_numbers) )
| ~ v1_finset_1(U_5519) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK680]),skolemize(U_5518,sK680(U_5519))],[f_2124_2]) ).
fof(f_2124_4,plain,
( ! [U_5519] :
( r2_wellord2(U_5519,k2_finseq_1(sK680(U_5519)))
| ~ sP1006(U_5519) )
& ! [U_5519] :
( m2_subset_1(sK680(U_5519),k1_numbers,k5_numbers)
| ~ sP1006(U_5519) )
& ! [U_5519] :
( sP1006(U_5519)
| ~ v1_finset_1(U_5519) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1006])],[f_2124_3]) ).
cnf(f_2124_5,plain,
( sP1006(U_5519)
| ~ v1_finset_1(U_5519) ),
inference(clausify,[status(thm)],[f_2124_4]) ).
cnf(f_2124_6,plain,
( m2_subset_1(sK680(U_5519),k1_numbers,k5_numbers)
| ~ sP1006(U_5519) ),
inference(clausify,[status(thm)],[f_2124_4]) ).
cnf(f_2124_7,plain,
( r2_wellord2(U_5519,k2_finseq_1(sK680(U_5519)))
| ~ sP1006(U_5519) ),
inference(clausify,[status(thm)],[f_2124_4]) ).
fof(f_2125_1,plain,
( ! [A] :
( ( k4_card_1(k1_card_1(A)) = A
& k4_card_1(A) = A )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) )
& ! [A] :
( k4_card_1(k2_finseq_1(A)) = A
| ~ v4_ordinal2(A) ) ),
inference(fof_nnf,[status(thm)],[t78_finseq_1]) ).
fof(f_2125_2,plain,
( ! [U_5521] :
( ( k4_card_1(k1_card_1(U_5521)) = U_5521
& k4_card_1(U_5521) = U_5521 )
| ~ m2_subset_1(U_5521,k1_numbers,k5_numbers) )
& ! [U_5520] :
( k4_card_1(k2_finseq_1(U_5520)) = U_5520
| ~ v4_ordinal2(U_5520) ) ),
inference(variable_rename,[status(thm)],[f_2125_1]) ).
fof(f_2125_3,plain,
( ! [U_5521] :
( k4_card_1(k1_card_1(U_5521)) = U_5521
| ~ sP1007(U_5521) )
& ! [U_5521] :
( k4_card_1(U_5521) = U_5521
| ~ sP1007(U_5521) )
& ! [U_5521] :
( sP1007(U_5521)
| ~ m2_subset_1(U_5521,k1_numbers,k5_numbers) )
& ! [U_5520] :
( k4_card_1(k2_finseq_1(U_5520)) = U_5520
| ~ v4_ordinal2(U_5520) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1007])],[f_2125_2]) ).
cnf(f_2125_4,plain,
( k4_card_1(k2_finseq_1(U_5520)) = U_5520
| ~ v4_ordinal2(U_5520) ),
inference(clausify,[status(thm)],[f_2125_3]) ).
cnf(f_2125_5,plain,
( sP1007(U_5521)
| ~ m2_subset_1(U_5521,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2125_3]) ).
cnf(f_2125_6,plain,
( k4_card_1(U_5521) = U_5521
| ~ sP1007(U_5521) ),
inference(clausify,[status(thm)],[f_2125_3]) ).
cnf(f_2125_7,plain,
( k4_card_1(k1_card_1(U_5521)) = U_5521
| ~ sP1007(U_5521) ),
inference(clausify,[status(thm)],[f_2125_3]) ).
fof(f_2126_1,plain,
! [A,B] :
( ! [C] :
( k16_finseq_1(A,B,C) = k7_relat_1(B,k2_finseq_1(C))
| ~ v4_ordinal2(C) )
| ~ m2_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[d15_finseq_1]) ).
fof(f_2126_2,plain,
! [U_5524,U_5523] :
( ! [U_5522] :
( k16_finseq_1(U_5524,U_5523,U_5522) = k7_relat_1(U_5523,k2_finseq_1(U_5522))
| ~ v4_ordinal2(U_5522) )
| ~ m2_finseq_1(U_5523,U_5524) ),
inference(variable_rename,[status(thm)],[f_2126_1]) ).
fof(f_2126_3,plain,
! [U_5524,U_5522,U_5523] :
( k16_finseq_1(U_5524,U_5523,U_5522) = k7_relat_1(U_5523,k2_finseq_1(U_5522))
| ~ v4_ordinal2(U_5522)
| ~ m2_finseq_1(U_5523,U_5524) ),
inference(definitional_conversion,[status(esa)],[f_2126_2]) ).
cnf(f_2126_4,plain,
( k16_finseq_1(U_5524,U_5523,U_5522) = k7_relat_1(U_5523,k2_finseq_1(U_5522))
| ~ v4_ordinal2(U_5522)
| ~ m2_finseq_1(U_5523,U_5524) ),
inference(clausify,[status(thm)],[f_2126_3]) ).
fof(f_2127_1,plain,
! [A,B] :
( ! [C] :
( k16_finseq_1(A,B,C) = B
| ~ r1_xreal_0(k3_finseq_1(B),C)
| ~ v4_ordinal2(C) )
| ~ m2_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[t79_finseq_1]) ).
fof(f_2127_2,plain,
! [U_5527,U_5526] :
( ! [U_5525] :
( k16_finseq_1(U_5527,U_5526,U_5525) = U_5526
| ~ r1_xreal_0(k3_finseq_1(U_5526),U_5525)
| ~ v4_ordinal2(U_5525) )
| ~ m2_finseq_1(U_5526,U_5527) ),
inference(variable_rename,[status(thm)],[f_2127_1]) ).
fof(f_2127_3,plain,
! [U_5527,U_5525,U_5526] :
( k16_finseq_1(U_5527,U_5526,U_5525) = U_5526
| ~ r1_xreal_0(k3_finseq_1(U_5526),U_5525)
| ~ v4_ordinal2(U_5525)
| ~ m2_finseq_1(U_5526,U_5527) ),
inference(definitional_conversion,[status(esa)],[f_2127_2]) ).
cnf(f_2127_4,plain,
( k16_finseq_1(U_5527,U_5526,U_5525) = U_5526
| ~ r1_xreal_0(k3_finseq_1(U_5526),U_5525)
| ~ v4_ordinal2(U_5525)
| ~ m2_finseq_1(U_5526,U_5527) ),
inference(clausify,[status(thm)],[f_2127_3]) ).
fof(f_2128_1,plain,
! [A,B] :
( ! [C] :
( k3_finseq_1(k16_finseq_1(A,B,C)) = C
| ~ r1_xreal_0(C,k3_finseq_1(B))
| ~ v4_ordinal2(C) )
| ~ m2_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[t80_finseq_1]) ).
fof(f_2128_2,plain,
! [U_5530,U_5529] :
( ! [U_5528] :
( k3_finseq_1(k16_finseq_1(U_5530,U_5529,U_5528)) = U_5528
| ~ r1_xreal_0(U_5528,k3_finseq_1(U_5529))
| ~ v4_ordinal2(U_5528) )
| ~ m2_finseq_1(U_5529,U_5530) ),
inference(variable_rename,[status(thm)],[f_2128_1]) ).
fof(f_2128_3,plain,
! [U_5529,U_5530,U_5528] :
( k3_finseq_1(k16_finseq_1(U_5530,U_5529,U_5528)) = U_5528
| ~ r1_xreal_0(U_5528,k3_finseq_1(U_5529))
| ~ v4_ordinal2(U_5528)
| ~ m2_finseq_1(U_5529,U_5530) ),
inference(definitional_conversion,[status(esa)],[f_2128_2]) ).
cnf(f_2128_4,plain,
( k3_finseq_1(k16_finseq_1(U_5530,U_5529,U_5528)) = U_5528
| ~ r1_xreal_0(U_5528,k3_finseq_1(U_5529))
| ~ v4_ordinal2(U_5528)
| ~ m2_finseq_1(U_5529,U_5530) ),
inference(clausify,[status(thm)],[f_2128_3]) ).
fof(f_2129_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C)))
| ~ r2_hidden(B,k2_finseq_1(A))
| ~ v4_ordinal2(C) )
| ~ v4_ordinal2(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t81_finseq_1]) ).
fof(f_2129_2,plain,
! [U_5533] :
( ! [U_5532] :
( ! [U_5531] :
( r2_hidden(k2_xcmplx_0(U_5532,U_5531),k2_finseq_1(k2_xcmplx_0(U_5533,U_5531)))
| ~ r2_hidden(U_5532,k2_finseq_1(U_5533))
| ~ v4_ordinal2(U_5531) )
| ~ v4_ordinal2(U_5532) )
| ~ m2_subset_1(U_5533,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2129_1]) ).
fof(f_2129_3,plain,
! [U_5533,U_5531,U_5532] :
( r2_hidden(k2_xcmplx_0(U_5532,U_5531),k2_finseq_1(k2_xcmplx_0(U_5533,U_5531)))
| ~ r2_hidden(U_5532,k2_finseq_1(U_5533))
| ~ v4_ordinal2(U_5531)
| ~ v4_ordinal2(U_5532)
| ~ m2_subset_1(U_5533,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2129_2]) ).
cnf(f_2129_4,plain,
( r2_hidden(k2_xcmplx_0(U_5532,U_5531),k2_finseq_1(k2_xcmplx_0(U_5533,U_5531)))
| ~ r2_hidden(U_5532,k2_finseq_1(U_5533))
| ~ v4_ordinal2(U_5531)
| ~ v4_ordinal2(U_5532)
| ~ m2_subset_1(U_5533,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2129_3]) ).
fof(f_2130_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,C)))
& r2_hidden(B,k2_finseq_1(A)) )
| r1_xreal_0(B,np__0)
| ~ r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C)))
| ~ v4_ordinal2(C) )
| ~ v4_ordinal2(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t82_finseq_1]) ).
fof(f_2130_2,plain,
! [U_5536] :
( ! [U_5535] :
( ! [U_5534] :
( ( r2_hidden(U_5535,k2_finseq_1(k2_xcmplx_0(U_5536,U_5534)))
& r2_hidden(U_5535,k2_finseq_1(U_5536)) )
| r1_xreal_0(U_5535,np__0)
| ~ r2_hidden(k2_xcmplx_0(U_5535,U_5534),k2_finseq_1(k2_xcmplx_0(U_5536,U_5534)))
| ~ v4_ordinal2(U_5534) )
| ~ v4_ordinal2(U_5535) )
| ~ m2_subset_1(U_5536,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2130_1]) ).
fof(f_2130_3,plain,
( ! [U_5535,U_5536,U_5534] :
( r2_hidden(U_5535,k2_finseq_1(k2_xcmplx_0(U_5536,U_5534)))
| ~ sP1008(U_5535,U_5536,U_5534) )
& ! [U_5535,U_5536,U_5534] :
( r2_hidden(U_5535,k2_finseq_1(U_5536))
| ~ sP1008(U_5535,U_5536,U_5534) )
& ! [U_5535,U_5536,U_5534] :
( sP1008(U_5535,U_5536,U_5534)
| r1_xreal_0(U_5535,np__0)
| ~ r2_hidden(k2_xcmplx_0(U_5535,U_5534),k2_finseq_1(k2_xcmplx_0(U_5536,U_5534)))
| ~ v4_ordinal2(U_5534)
| ~ v4_ordinal2(U_5535)
| ~ m2_subset_1(U_5536,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1008])],[f_2130_2]) ).
cnf(f_2130_4,plain,
( sP1008(U_5535,U_5536,U_5534)
| r1_xreal_0(U_5535,np__0)
| ~ r2_hidden(k2_xcmplx_0(U_5535,U_5534),k2_finseq_1(k2_xcmplx_0(U_5536,U_5534)))
| ~ v4_ordinal2(U_5534)
| ~ v4_ordinal2(U_5535)
| ~ m2_subset_1(U_5536,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2130_3]) ).
cnf(f_2130_5,plain,
( r2_hidden(U_5535,k2_finseq_1(U_5536))
| ~ sP1008(U_5535,U_5536,U_5534) ),
inference(clausify,[status(thm)],[f_2130_3]) ).
cnf(f_2130_6,plain,
( r2_hidden(U_5535,k2_finseq_1(k2_xcmplx_0(U_5536,U_5534)))
| ~ sP1008(U_5535,U_5536,U_5534) ),
inference(clausify,[status(thm)],[f_2130_3]) ).
fof(f_2131_1,plain,
! [A] :
( ! [B] :
( ( ( B = k17_finseq_1(A)
| ? [C,D] :
( ( ~ r2_hidden(k4_tarski(C,D),B)
& ? [E] :
( ! [F] :
( r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)
| r1_xreal_0(k3_finseq_1(E),F)
| ~ r1_xreal_0(np__1,F)
| ~ m2_subset_1(F,k1_numbers,k5_numbers) )
& k1_funct_1(E,k3_finseq_1(E)) = D
& k1_funct_1(E,np__1) = C
& r1_xreal_0(np__1,k3_finseq_1(E))
& v1_finseq_1(E)
& v1_funct_1(E)
& v1_relat_1(E) )
& r2_hidden(D,k3_relat_1(A))
& r2_hidden(C,k3_relat_1(A)) )
| ( ( ! [E] :
( ? [F] :
( ~ r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)
& ~ r1_xreal_0(k3_finseq_1(E),F)
& r1_xreal_0(np__1,F)
& m2_subset_1(F,k1_numbers,k5_numbers) )
| k1_funct_1(E,k3_finseq_1(E)) != D
| k1_funct_1(E,np__1) != C
| ~ r1_xreal_0(np__1,k3_finseq_1(E))
| ~ v1_finseq_1(E)
| ~ v1_funct_1(E)
| ~ v1_relat_1(E) )
| ~ r2_hidden(D,k3_relat_1(A))
| ~ r2_hidden(C,k3_relat_1(A)) )
& r2_hidden(k4_tarski(C,D),B) ) ) )
& ( ! [C,D] :
( ( r2_hidden(k4_tarski(C,D),B)
| ! [E] :
( ? [F] :
( ~ r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)
& ~ r1_xreal_0(k3_finseq_1(E),F)
& r1_xreal_0(np__1,F)
& m2_subset_1(F,k1_numbers,k5_numbers) )
| k1_funct_1(E,k3_finseq_1(E)) != D
| k1_funct_1(E,np__1) != C
| ~ r1_xreal_0(np__1,k3_finseq_1(E))
| ~ v1_finseq_1(E)
| ~ v1_funct_1(E)
| ~ v1_relat_1(E) )
| ~ r2_hidden(D,k3_relat_1(A))
| ~ r2_hidden(C,k3_relat_1(A)) )
& ( ( ? [E] :
( ! [F] :
( r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)
| r1_xreal_0(k3_finseq_1(E),F)
| ~ r1_xreal_0(np__1,F)
| ~ m2_subset_1(F,k1_numbers,k5_numbers) )
& k1_funct_1(E,k3_finseq_1(E)) = D
& k1_funct_1(E,np__1) = C
& r1_xreal_0(np__1,k3_finseq_1(E))
& v1_finseq_1(E)
& v1_funct_1(E)
& v1_relat_1(E) )
& r2_hidden(D,k3_relat_1(A))
& r2_hidden(C,k3_relat_1(A)) )
| ~ r2_hidden(k4_tarski(C,D),B) ) )
| B != k17_finseq_1(A) ) )
| ~ v1_relat_1(B) )
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[d16_finseq_1]) ).
fof(f_2131_2,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5548,U_5547] :
( ( ~ r2_hidden(k4_tarski(U_5548,U_5547),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5547
& k1_funct_1(U_5546,np__1) = U_5548
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5547,k3_relat_1(U_5550))
& r2_hidden(U_5548,k3_relat_1(U_5550)) )
| ( ( ! [U_5544] :
( ? [U_5543] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,U_5543),k1_funct_1(U_5544,k1_nat_1(U_5543,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),U_5543)
& r1_xreal_0(np__1,U_5543)
& m2_subset_1(U_5543,k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != U_5547
| k1_funct_1(U_5544,np__1) != U_5548
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(U_5547,k3_relat_1(U_5550))
| ~ r2_hidden(U_5548,k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(U_5548,U_5547),U_5549) ) ) )
& ( ! [U_5542,U_5541] :
( ( r2_hidden(k4_tarski(U_5542,U_5541),U_5549)
| ! [U_5540] :
( ? [U_5539] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,U_5539),k1_funct_1(U_5540,k1_nat_1(U_5539,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),U_5539)
& r1_xreal_0(np__1,U_5539)
& m2_subset_1(U_5539,k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5541
| k1_funct_1(U_5540,np__1) != U_5542
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5541,k3_relat_1(U_5550))
| ~ r2_hidden(U_5542,k3_relat_1(U_5550)) )
& ( ( ? [U_5538] :
( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(U_5538,U_5537),k1_funct_1(U_5538,k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5538),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(U_5538,k3_finseq_1(U_5538)) = U_5541
& k1_funct_1(U_5538,np__1) = U_5542
& r1_xreal_0(np__1,k3_finseq_1(U_5538))
& v1_finseq_1(U_5538)
& v1_funct_1(U_5538)
& v1_relat_1(U_5538) )
& r2_hidden(U_5541,k3_relat_1(U_5550))
& r2_hidden(U_5542,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5542,U_5541),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(variable_rename,[status(thm)],[f_2131_1]) ).
fof(f_2131_3,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5558,U_5556] :
( ~ r2_hidden(k4_tarski(U_5558,U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = U_5558
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(U_5558,k3_relat_1(U_5550)) )
| ? [U_5557,U_5555] :
( ( ! [U_5544] :
( ? [U_5543] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,U_5543),k1_funct_1(U_5544,k1_nat_1(U_5543,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),U_5543)
& r1_xreal_0(np__1,U_5543)
& m2_subset_1(U_5543,k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != U_5555
| k1_funct_1(U_5544,np__1) != U_5557
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(U_5555,k3_relat_1(U_5550))
| ~ r2_hidden(U_5557,k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(U_5557,U_5555),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ? [U_5539] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,U_5539),k1_funct_1(U_5540,k1_nat_1(U_5539,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),U_5539)
& r1_xreal_0(np__1,U_5539)
& m2_subset_1(U_5539,k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ? [U_5538] :
( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(U_5538,U_5537),k1_funct_1(U_5538,k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5538),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(U_5538,k3_finseq_1(U_5538)) = U_5551
& k1_funct_1(U_5538,np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(U_5538))
& v1_finseq_1(U_5538)
& v1_funct_1(U_5538)
& v1_relat_1(U_5538) )
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(miniscope,[status(thm)],[f_2131_2]) ).
fof(f_2131_4,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5558,U_5556] :
( ~ r2_hidden(k4_tarski(U_5558,U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = U_5558
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(U_5558,k3_relat_1(U_5550)) )
| ? [U_5557,U_5555] :
( ( ! [U_5544] :
( ? [U_5543] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,U_5543),k1_funct_1(U_5544,k1_nat_1(U_5543,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),U_5543)
& r1_xreal_0(np__1,U_5543)
& m2_subset_1(U_5543,k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != U_5555
| k1_funct_1(U_5544,np__1) != U_5557
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(U_5555,k3_relat_1(U_5550))
| ~ r2_hidden(U_5557,k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(U_5557,U_5555),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ? [U_5539] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,U_5539),k1_funct_1(U_5540,k1_nat_1(U_5539,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),U_5539)
& r1_xreal_0(np__1,U_5539)
& m2_subset_1(U_5539,k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK681]),skolemize(U_5538,sK681(U_5550,U_5549,U_5553,U_5551))],[f_2131_3]) ).
fof(f_2131_5,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5558,U_5556] :
( ~ r2_hidden(k4_tarski(U_5558,U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = U_5558
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(U_5558,k3_relat_1(U_5550)) )
| ? [U_5557,U_5555] :
( ( ! [U_5544] :
( ? [U_5543] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,U_5543),k1_funct_1(U_5544,k1_nat_1(U_5543,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),U_5543)
& r1_xreal_0(np__1,U_5543)
& m2_subset_1(U_5543,k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != U_5555
| k1_funct_1(U_5544,np__1) != U_5557
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(U_5555,k3_relat_1(U_5550))
| ~ r2_hidden(U_5557,k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(U_5557,U_5555),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK682]),skolemize(U_5539,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))],[f_2131_4]) ).
fof(f_2131_6,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5558,U_5556] :
( ~ r2_hidden(k4_tarski(U_5558,U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = U_5558
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(U_5558,k3_relat_1(U_5550)) )
| ? [U_5555] :
( ( ! [U_5544] :
( ? [U_5543] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,U_5543),k1_funct_1(U_5544,k1_nat_1(U_5543,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),U_5543)
& r1_xreal_0(np__1,U_5543)
& m2_subset_1(U_5543,k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != U_5555
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(U_5555,k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(sK683(U_5550,U_5549),U_5555),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK683]),skolemize(U_5557,sK683(U_5550,U_5549))],[f_2131_5]) ).
fof(f_2131_7,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5558,U_5556] :
( ~ r2_hidden(k4_tarski(U_5558,U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = U_5558
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(U_5558,k3_relat_1(U_5550)) )
| ( ( ! [U_5544] :
( ? [U_5543] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,U_5543),k1_funct_1(U_5544,k1_nat_1(U_5543,np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),U_5543)
& r1_xreal_0(np__1,U_5543)
& m2_subset_1(U_5543,k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK684]),skolemize(U_5555,sK684(U_5550,U_5549))],[f_2131_6]) ).
fof(f_2131_8,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5558,U_5556] :
( ~ r2_hidden(k4_tarski(U_5558,U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = U_5558
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(U_5558,k3_relat_1(U_5550)) )
| ( ( ! [U_5544] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,sK685(U_5550,U_5549,U_5544)),k1_funct_1(U_5544,k1_nat_1(sK685(U_5550,U_5549,U_5544),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),sK685(U_5550,U_5549,U_5544))
& r1_xreal_0(np__1,sK685(U_5550,U_5549,U_5544))
& m2_subset_1(sK685(U_5550,U_5549,U_5544),k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK685]),skolemize(U_5543,sK685(U_5550,U_5549,U_5544))],[f_2131_7]) ).
fof(f_2131_9,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ? [U_5556] :
( ~ r2_hidden(k4_tarski(sK686(U_5550,U_5549),U_5556),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = U_5556
& k1_funct_1(U_5546,np__1) = sK686(U_5550,U_5549)
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(U_5556,k3_relat_1(U_5550))
& r2_hidden(sK686(U_5550,U_5549),k3_relat_1(U_5550)) )
| ( ( ! [U_5544] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,sK685(U_5550,U_5549,U_5544)),k1_funct_1(U_5544,k1_nat_1(sK685(U_5550,U_5549,U_5544),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),sK685(U_5550,U_5549,U_5544))
& r1_xreal_0(np__1,sK685(U_5550,U_5549,U_5544))
& m2_subset_1(sK685(U_5550,U_5549,U_5544),k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK686]),skolemize(U_5558,sK686(U_5550,U_5549))],[f_2131_8]) ).
fof(f_2131_10,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ( ~ r2_hidden(k4_tarski(sK686(U_5550,U_5549),sK687(U_5550,U_5549)),U_5549)
& ? [U_5546] :
( ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(U_5546,U_5545),k1_funct_1(U_5546,k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(U_5546),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(U_5546,k3_finseq_1(U_5546)) = sK687(U_5550,U_5549)
& k1_funct_1(U_5546,np__1) = sK686(U_5550,U_5549)
& r1_xreal_0(np__1,k3_finseq_1(U_5546))
& v1_finseq_1(U_5546)
& v1_funct_1(U_5546)
& v1_relat_1(U_5546) )
& r2_hidden(sK687(U_5550,U_5549),k3_relat_1(U_5550))
& r2_hidden(sK686(U_5550,U_5549),k3_relat_1(U_5550)) )
| ( ( ! [U_5544] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,sK685(U_5550,U_5549,U_5544)),k1_funct_1(U_5544,k1_nat_1(sK685(U_5550,U_5549,U_5544),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),sK685(U_5550,U_5549,U_5544))
& r1_xreal_0(np__1,sK685(U_5550,U_5549,U_5544))
& m2_subset_1(sK685(U_5550,U_5549,U_5544),k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK687]),skolemize(U_5556,sK687(U_5550,U_5549))],[f_2131_9]) ).
fof(f_2131_11,plain,
! [U_5550] :
( ! [U_5549] :
( ( ( U_5549 = k17_finseq_1(U_5550)
| ( ~ r2_hidden(k4_tarski(sK686(U_5550,U_5549),sK687(U_5550,U_5549)),U_5549)
& ! [U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(sK688(U_5550,U_5549),U_5545),k1_funct_1(sK688(U_5550,U_5549),k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK688(U_5550,U_5549)),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers) )
& k1_funct_1(sK688(U_5550,U_5549),k3_finseq_1(sK688(U_5550,U_5549))) = sK687(U_5550,U_5549)
& k1_funct_1(sK688(U_5550,U_5549),np__1) = sK686(U_5550,U_5549)
& r1_xreal_0(np__1,k3_finseq_1(sK688(U_5550,U_5549)))
& v1_finseq_1(sK688(U_5550,U_5549))
& v1_funct_1(sK688(U_5550,U_5549))
& v1_relat_1(sK688(U_5550,U_5549))
& r2_hidden(sK687(U_5550,U_5549),k3_relat_1(U_5550))
& r2_hidden(sK686(U_5550,U_5549),k3_relat_1(U_5550)) )
| ( ( ! [U_5544] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,sK685(U_5550,U_5549,U_5544)),k1_funct_1(U_5544,k1_nat_1(sK685(U_5550,U_5549,U_5544),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5544),sK685(U_5550,U_5549,U_5544))
& r1_xreal_0(np__1,sK685(U_5550,U_5549,U_5544))
& m2_subset_1(sK685(U_5550,U_5549,U_5544),k1_numbers,k5_numbers) )
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544) )
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550)) )
& r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549) ) )
& ( ( ! [U_5554,U_5552] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| ! [U_5540] :
( ( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
& ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
& m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers) )
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540) )
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550)) )
& ! [U_5553,U_5551] :
( ( ! [U_5537] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers) )
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
& k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
& r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
& v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
& v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
& r2_hidden(U_5551,k3_relat_1(U_5550))
& r2_hidden(U_5553,k3_relat_1(U_5550)) )
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549) ) )
| U_5549 != k17_finseq_1(U_5550) ) )
| ~ v1_relat_1(U_5549) )
| ~ v1_relat_1(U_5550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK688]),skolemize(U_5546,sK688(U_5550,U_5549))],[f_2131_10]) ).
fof(f_2131_12,plain,
( ! [U_5549,U_5550,U_5545] :
( ~ r2_hidden(k4_tarski(sK686(U_5550,U_5549),sK687(U_5550,U_5549)),U_5549)
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( r2_hidden(k4_tarski(k1_funct_1(sK688(U_5550,U_5549),U_5545),k1_funct_1(sK688(U_5550,U_5549),k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK688(U_5550,U_5549)),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers)
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( k1_funct_1(sK688(U_5550,U_5549),k3_finseq_1(sK688(U_5550,U_5549))) = sK687(U_5550,U_5549)
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( k1_funct_1(sK688(U_5550,U_5549),np__1) = sK686(U_5550,U_5549)
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( r1_xreal_0(np__1,k3_finseq_1(sK688(U_5550,U_5549)))
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( v1_finseq_1(sK688(U_5550,U_5549))
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( v1_funct_1(sK688(U_5550,U_5549))
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( v1_relat_1(sK688(U_5550,U_5549))
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( r2_hidden(sK687(U_5550,U_5549),k3_relat_1(U_5550))
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5545] :
( r2_hidden(sK686(U_5550,U_5549),k3_relat_1(U_5550))
| ~ sP1014(U_5549,U_5550,U_5545) )
& ! [U_5549,U_5550,U_5544] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,sK685(U_5550,U_5549,U_5544)),k1_funct_1(U_5544,k1_nat_1(sK685(U_5550,U_5549,U_5544),np__1))),U_5550)
| ~ sP1012(U_5549,U_5550,U_5544) )
& ! [U_5549,U_5550,U_5544] :
( ~ r1_xreal_0(k3_finseq_1(U_5544),sK685(U_5550,U_5549,U_5544))
| ~ sP1012(U_5549,U_5550,U_5544) )
& ! [U_5549,U_5550,U_5544] :
( r1_xreal_0(np__1,sK685(U_5550,U_5549,U_5544))
| ~ sP1012(U_5549,U_5550,U_5544) )
& ! [U_5549,U_5550,U_5544] :
( m2_subset_1(sK685(U_5550,U_5549,U_5544),k1_numbers,k5_numbers)
| ~ sP1012(U_5549,U_5550,U_5544) )
& ! [U_5549,U_5550,U_5544] :
( sP1012(U_5549,U_5550,U_5544)
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544)
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550))
| ~ sP1013(U_5549,U_5550,U_5544) )
& ! [U_5549,U_5550,U_5544] :
( r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549)
| ~ sP1013(U_5549,U_5550,U_5544) )
& ! [U_5549,U_5550,U_5552,U_5554,U_5540] :
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) )
& ! [U_5549,U_5550,U_5552,U_5554,U_5540] :
( ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) )
& ! [U_5549,U_5550,U_5552,U_5554,U_5540] :
( r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) )
& ! [U_5549,U_5550,U_5552,U_5554,U_5540] :
( m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers)
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers)
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( r2_hidden(U_5551,k3_relat_1(U_5550))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5553] :
( r2_hidden(U_5553,k3_relat_1(U_5550))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540] :
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| sP1010(U_5549,U_5550,U_5552,U_5554,U_5540)
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540)
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550))
| ~ sP1011(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540] :
( sP1009(U_5537,U_5549,U_5550,U_5551,U_5553)
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549)
| ~ sP1011(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540] :
( U_5549 = k17_finseq_1(U_5550)
| sP1014(U_5549,U_5550,U_5545)
| sP1013(U_5549,U_5550,U_5544)
| ~ sP1015(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540] :
( sP1011(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540)
| U_5549 != k17_finseq_1(U_5550)
| ~ sP1015(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540) )
& ! [U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540] :
( sP1015(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540)
| ~ v1_relat_1(U_5549)
| ~ v1_relat_1(U_5550) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1009,sP1010,sP1011,sP1012,sP1013,sP1014,sP1015])],[f_2131_11]) ).
cnf(f_2131_13,plain,
( sP1015(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540)
| ~ v1_relat_1(U_5549)
| ~ v1_relat_1(U_5550) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_14,plain,
( sP1011(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540)
| U_5549 != k17_finseq_1(U_5550)
| ~ sP1015(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_15,plain,
( U_5549 = k17_finseq_1(U_5550)
| sP1014(U_5549,U_5550,U_5545)
| sP1013(U_5549,U_5550,U_5544)
| ~ sP1015(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5545,U_5544,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_16,plain,
( sP1009(U_5537,U_5549,U_5550,U_5551,U_5553)
| ~ r2_hidden(k4_tarski(U_5553,U_5551),U_5549)
| ~ sP1011(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_17,plain,
( r2_hidden(k4_tarski(U_5554,U_5552),U_5549)
| sP1010(U_5549,U_5550,U_5552,U_5554,U_5540)
| k1_funct_1(U_5540,k3_finseq_1(U_5540)) != U_5552
| k1_funct_1(U_5540,np__1) != U_5554
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5540))
| ~ v1_finseq_1(U_5540)
| ~ v1_funct_1(U_5540)
| ~ v1_relat_1(U_5540)
| ~ r2_hidden(U_5552,k3_relat_1(U_5550))
| ~ r2_hidden(U_5554,k3_relat_1(U_5550))
| ~ sP1011(U_5537,U_5549,U_5550,U_5551,U_5552,U_5553,U_5554,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_18,plain,
( r2_hidden(U_5553,k3_relat_1(U_5550))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_19,plain,
( r2_hidden(U_5551,k3_relat_1(U_5550))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_20,plain,
( v1_relat_1(sK681(U_5550,U_5549,U_5553,U_5551))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_21,plain,
( v1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_22,plain,
( v1_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_23,plain,
( r1_xreal_0(np__1,k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)))
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_24,plain,
( k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),np__1) = U_5553
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_25,plain,
( k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551))) = U_5551
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_26,plain,
( r2_hidden(k4_tarski(k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),U_5537),k1_funct_1(sK681(U_5550,U_5549,U_5553,U_5551),k1_nat_1(U_5537,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK681(U_5550,U_5549,U_5553,U_5551)),U_5537)
| ~ r1_xreal_0(np__1,U_5537)
| ~ m2_subset_1(U_5537,k1_numbers,k5_numbers)
| ~ sP1009(U_5537,U_5549,U_5550,U_5551,U_5553) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_27,plain,
( m2_subset_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),k1_numbers,k5_numbers)
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_28,plain,
( r1_xreal_0(np__1,sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_29,plain,
( ~ r1_xreal_0(k3_finseq_1(U_5540),sK682(U_5550,U_5549,U_5554,U_5552,U_5540))
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_30,plain,
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5540,sK682(U_5550,U_5549,U_5554,U_5552,U_5540)),k1_funct_1(U_5540,k1_nat_1(sK682(U_5550,U_5549,U_5554,U_5552,U_5540),np__1))),U_5550)
| ~ sP1010(U_5549,U_5550,U_5552,U_5554,U_5540) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_31,plain,
( r2_hidden(k4_tarski(sK683(U_5550,U_5549),sK684(U_5550,U_5549)),U_5549)
| ~ sP1013(U_5549,U_5550,U_5544) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_32,plain,
( sP1012(U_5549,U_5550,U_5544)
| k1_funct_1(U_5544,k3_finseq_1(U_5544)) != sK684(U_5550,U_5549)
| k1_funct_1(U_5544,np__1) != sK683(U_5550,U_5549)
| ~ r1_xreal_0(np__1,k3_finseq_1(U_5544))
| ~ v1_finseq_1(U_5544)
| ~ v1_funct_1(U_5544)
| ~ v1_relat_1(U_5544)
| ~ r2_hidden(sK684(U_5550,U_5549),k3_relat_1(U_5550))
| ~ r2_hidden(sK683(U_5550,U_5549),k3_relat_1(U_5550))
| ~ sP1013(U_5549,U_5550,U_5544) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_33,plain,
( m2_subset_1(sK685(U_5550,U_5549,U_5544),k1_numbers,k5_numbers)
| ~ sP1012(U_5549,U_5550,U_5544) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_34,plain,
( r1_xreal_0(np__1,sK685(U_5550,U_5549,U_5544))
| ~ sP1012(U_5549,U_5550,U_5544) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_35,plain,
( ~ r1_xreal_0(k3_finseq_1(U_5544),sK685(U_5550,U_5549,U_5544))
| ~ sP1012(U_5549,U_5550,U_5544) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_36,plain,
( ~ r2_hidden(k4_tarski(k1_funct_1(U_5544,sK685(U_5550,U_5549,U_5544)),k1_funct_1(U_5544,k1_nat_1(sK685(U_5550,U_5549,U_5544),np__1))),U_5550)
| ~ sP1012(U_5549,U_5550,U_5544) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_37,plain,
( r2_hidden(sK686(U_5550,U_5549),k3_relat_1(U_5550))
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_38,plain,
( r2_hidden(sK687(U_5550,U_5549),k3_relat_1(U_5550))
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_39,plain,
( v1_relat_1(sK688(U_5550,U_5549))
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_40,plain,
( v1_funct_1(sK688(U_5550,U_5549))
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_41,plain,
( v1_finseq_1(sK688(U_5550,U_5549))
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_42,plain,
( r1_xreal_0(np__1,k3_finseq_1(sK688(U_5550,U_5549)))
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_43,plain,
( k1_funct_1(sK688(U_5550,U_5549),np__1) = sK686(U_5550,U_5549)
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_44,plain,
( k1_funct_1(sK688(U_5550,U_5549),k3_finseq_1(sK688(U_5550,U_5549))) = sK687(U_5550,U_5549)
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_45,plain,
( r2_hidden(k4_tarski(k1_funct_1(sK688(U_5550,U_5549),U_5545),k1_funct_1(sK688(U_5550,U_5549),k1_nat_1(U_5545,np__1))),U_5550)
| r1_xreal_0(k3_finseq_1(sK688(U_5550,U_5549)),U_5545)
| ~ r1_xreal_0(np__1,U_5545)
| ~ m2_subset_1(U_5545,k1_numbers,k5_numbers)
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
cnf(f_2131_46,plain,
( ~ r2_hidden(k4_tarski(sK686(U_5550,U_5549),sK687(U_5550,U_5549)),U_5549)
| ~ sP1014(U_5549,U_5550,U_5545) ),
inference(clausify,[status(thm)],[f_2131_12]) ).
fof(f_2132_1,plain,
! [A,B] :
( r1_tarski(k13_finseq_1(A),k13_finseq_1(B))
| ~ r1_tarski(A,B) ),
inference(fof_nnf,[status(thm)],[t83_finseq_1]) ).
fof(f_2132_2,plain,
! [U_5560,U_5559] :
( r1_tarski(k13_finseq_1(U_5560),k13_finseq_1(U_5559))
| ~ r1_tarski(U_5560,U_5559) ),
inference(variable_rename,[status(thm)],[f_2132_1]) ).
fof(f_2132_3,plain,
! [U_5559,U_5560] :
( r1_tarski(k13_finseq_1(U_5560),k13_finseq_1(U_5559))
| ~ r1_tarski(U_5560,U_5559) ),
inference(definitional_conversion,[status(esa)],[f_2132_2]) ).
cnf(f_2132_4,plain,
( r1_tarski(k13_finseq_1(U_5560),k13_finseq_1(U_5559))
| ~ r1_tarski(U_5560,U_5559) ),
inference(clausify,[status(thm)],[f_2132_3]) ).
fof(f_2133_1,plain,
! [A] :
( ! [B] :
( r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B))
| ~ r1_tarski(A,B)
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t84_finseq_1]) ).
fof(f_2133_2,plain,
! [U_5562] :
( ! [U_5561] :
( r1_xreal_0(k3_finseq_1(U_5562),k3_finseq_1(U_5561))
| ~ r1_tarski(U_5562,U_5561)
| ~ v1_finseq_1(U_5561)
| ~ v1_funct_1(U_5561)
| ~ v1_relat_1(U_5561) )
| ~ v1_finseq_1(U_5562)
| ~ v1_funct_1(U_5562)
| ~ v1_relat_1(U_5562) ),
inference(variable_rename,[status(thm)],[f_2133_1]) ).
fof(f_2133_3,plain,
! [U_5562,U_5561] :
( r1_xreal_0(k3_finseq_1(U_5562),k3_finseq_1(U_5561))
| ~ r1_tarski(U_5562,U_5561)
| ~ v1_finseq_1(U_5561)
| ~ v1_funct_1(U_5561)
| ~ v1_relat_1(U_5561)
| ~ v1_finseq_1(U_5562)
| ~ v1_funct_1(U_5562)
| ~ v1_relat_1(U_5562) ),
inference(definitional_conversion,[status(esa)],[f_2133_2]) ).
cnf(f_2133_4,plain,
( r1_xreal_0(k3_finseq_1(U_5562),k3_finseq_1(U_5561))
| ~ r1_tarski(U_5562,U_5561)
| ~ v1_finseq_1(U_5561)
| ~ v1_funct_1(U_5561)
| ~ v1_relat_1(U_5561)
| ~ v1_finseq_1(U_5562)
| ~ v1_funct_1(U_5562)
| ~ v1_relat_1(U_5562) ),
inference(clausify,[status(thm)],[f_2133_3]) ).
fof(f_2134_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(A,C)
| ~ r1_xreal_0(C,k3_finseq_1(A))
| ~ r1_xreal_0(np__1,C)
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t85_finseq_1]) ).
fof(f_2134_2,plain,
! [U_5565] :
( ! [U_5564] :
( ! [U_5563] :
( k1_funct_1(k7_finseq_1(U_5565,U_5564),U_5563) = k1_funct_1(U_5565,U_5563)
| ~ r1_xreal_0(U_5563,k3_finseq_1(U_5565))
| ~ r1_xreal_0(np__1,U_5563)
| ~ m2_subset_1(U_5563,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5564)
| ~ v1_funct_1(U_5564)
| ~ v1_relat_1(U_5564) )
| ~ v1_finseq_1(U_5565)
| ~ v1_funct_1(U_5565)
| ~ v1_relat_1(U_5565) ),
inference(variable_rename,[status(thm)],[f_2134_1]) ).
fof(f_2134_3,plain,
! [U_5563,U_5564,U_5565] :
( k1_funct_1(k7_finseq_1(U_5565,U_5564),U_5563) = k1_funct_1(U_5565,U_5563)
| ~ r1_xreal_0(U_5563,k3_finseq_1(U_5565))
| ~ r1_xreal_0(np__1,U_5563)
| ~ m2_subset_1(U_5563,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5564)
| ~ v1_funct_1(U_5564)
| ~ v1_relat_1(U_5564)
| ~ v1_finseq_1(U_5565)
| ~ v1_funct_1(U_5565)
| ~ v1_relat_1(U_5565) ),
inference(definitional_conversion,[status(esa)],[f_2134_2]) ).
cnf(f_2134_4,plain,
( k1_funct_1(k7_finseq_1(U_5565,U_5564),U_5563) = k1_funct_1(U_5565,U_5563)
| ~ r1_xreal_0(U_5563,k3_finseq_1(U_5565))
| ~ r1_xreal_0(np__1,U_5563)
| ~ m2_subset_1(U_5563,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5564)
| ~ v1_funct_1(U_5564)
| ~ v1_relat_1(U_5564)
| ~ v1_finseq_1(U_5565)
| ~ v1_funct_1(U_5565)
| ~ v1_relat_1(U_5565) ),
inference(clausify,[status(thm)],[f_2134_3]) ).
fof(f_2135_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_funct_1(k7_finseq_1(A,B),k1_nat_1(k3_finseq_1(A),C)) = k1_funct_1(B,C)
| ~ r1_xreal_0(C,k3_finseq_1(B))
| ~ r1_xreal_0(np__1,C)
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) )
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[t86_finseq_1]) ).
fof(f_2135_2,plain,
! [U_5568] :
( ! [U_5567] :
( ! [U_5566] :
( k1_funct_1(k7_finseq_1(U_5568,U_5567),k1_nat_1(k3_finseq_1(U_5568),U_5566)) = k1_funct_1(U_5567,U_5566)
| ~ r1_xreal_0(U_5566,k3_finseq_1(U_5567))
| ~ r1_xreal_0(np__1,U_5566)
| ~ m2_subset_1(U_5566,k1_numbers,k5_numbers) )
| ~ v1_finseq_1(U_5567)
| ~ v1_funct_1(U_5567)
| ~ v1_relat_1(U_5567) )
| ~ v1_finseq_1(U_5568)
| ~ v1_funct_1(U_5568)
| ~ v1_relat_1(U_5568) ),
inference(variable_rename,[status(thm)],[f_2135_1]) ).
fof(f_2135_3,plain,
! [U_5566,U_5567,U_5568] :
( k1_funct_1(k7_finseq_1(U_5568,U_5567),k1_nat_1(k3_finseq_1(U_5568),U_5566)) = k1_funct_1(U_5567,U_5566)
| ~ r1_xreal_0(U_5566,k3_finseq_1(U_5567))
| ~ r1_xreal_0(np__1,U_5566)
| ~ m2_subset_1(U_5566,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5567)
| ~ v1_funct_1(U_5567)
| ~ v1_relat_1(U_5567)
| ~ v1_finseq_1(U_5568)
| ~ v1_funct_1(U_5568)
| ~ v1_relat_1(U_5568) ),
inference(definitional_conversion,[status(esa)],[f_2135_2]) ).
cnf(f_2135_4,plain,
( k1_funct_1(k7_finseq_1(U_5568,U_5567),k1_nat_1(k3_finseq_1(U_5568),U_5566)) = k1_funct_1(U_5567,U_5566)
| ~ r1_xreal_0(U_5566,k3_finseq_1(U_5567))
| ~ r1_xreal_0(np__1,U_5566)
| ~ m2_subset_1(U_5566,k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5567)
| ~ v1_funct_1(U_5567)
| ~ v1_relat_1(U_5567)
| ~ v1_finseq_1(U_5568)
| ~ v1_funct_1(U_5568)
| ~ v1_relat_1(U_5568) ),
inference(clausify,[status(thm)],[f_2135_3]) ).
fof(f_2136_1,plain,
( ? [A] :
( ! [B] :
( p1_s1_finseq_1(B,k1_funct_1(A,B))
| ~ r2_hidden(B,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
& k4_finseq_1(A) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ? [A] :
( ! [B] : ~ p1_s1_finseq_1(A,B)
& r2_hidden(A,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(A,k1_numbers,k5_numbers) )
| ? [A] :
( ? [B,C] :
( B != C
& p1_s1_finseq_1(A,C)
& p1_s1_finseq_1(A,B)
& r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) )
& m2_subset_1(A,k1_numbers,k5_numbers) ) ),
inference(fof_nnf,[status(thm)],[s1_finseq_1]) ).
fof(f_2136_2,plain,
( ? [U_5575] :
( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(U_5575,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5575) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(U_5575)
& v1_funct_1(U_5575)
& v1_relat_1(U_5575) )
| ? [U_5573] :
( ! [U_5572] : ~ p1_s1_finseq_1(U_5573,U_5572)
& r2_hidden(U_5573,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(U_5573,k1_numbers,k5_numbers) )
| ? [U_5571] :
( ? [U_5570,U_5569] :
( U_5570 != U_5569
& p1_s1_finseq_1(U_5571,U_5569)
& p1_s1_finseq_1(U_5571,U_5570)
& r2_hidden(U_5571,k2_finseq_1(f1_s1_finseq_1)) )
& m2_subset_1(U_5571,k1_numbers,k5_numbers) ) ),
inference(variable_rename,[status(thm)],[f_2136_1]) ).
fof(f_2136_3,plain,
( ? [U_5575] :
( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(U_5575,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5575) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(U_5575)
& v1_funct_1(U_5575)
& v1_relat_1(U_5575) )
| ? [U_5573] :
( ! [U_5572] : ~ p1_s1_finseq_1(U_5573,U_5572)
& r2_hidden(U_5573,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(U_5573,k1_numbers,k5_numbers) )
| ( ? [U_5570,U_5569] :
( U_5570 != U_5569
& p1_s1_finseq_1(sK689,U_5569)
& p1_s1_finseq_1(sK689,U_5570)
& r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1)) )
& m2_subset_1(sK689,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK689]),skolemize(U_5571,sK689)],[f_2136_2]) ).
fof(f_2136_4,plain,
( ? [U_5575] :
( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(U_5575,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5575) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(U_5575)
& v1_funct_1(U_5575)
& v1_relat_1(U_5575) )
| ? [U_5573] :
( ! [U_5572] : ~ p1_s1_finseq_1(U_5573,U_5572)
& r2_hidden(U_5573,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(U_5573,k1_numbers,k5_numbers) )
| ( ? [U_5569] :
( sK690 != U_5569
& p1_s1_finseq_1(sK689,U_5569)
& p1_s1_finseq_1(sK689,sK690)
& r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1)) )
& m2_subset_1(sK689,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK690]),skolemize(U_5570,sK690)],[f_2136_3]) ).
fof(f_2136_5,plain,
( ? [U_5575] :
( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(U_5575,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5575) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(U_5575)
& v1_funct_1(U_5575)
& v1_relat_1(U_5575) )
| ? [U_5573] :
( ! [U_5572] : ~ p1_s1_finseq_1(U_5573,U_5572)
& r2_hidden(U_5573,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(U_5573,k1_numbers,k5_numbers) )
| ( sK690 != sK691
& p1_s1_finseq_1(sK689,sK691)
& p1_s1_finseq_1(sK689,sK690)
& r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(sK689,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK691]),skolemize(U_5569,sK691)],[f_2136_4]) ).
fof(f_2136_6,plain,
( ? [U_5575] :
( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(U_5575,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5575) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(U_5575)
& v1_funct_1(U_5575)
& v1_relat_1(U_5575) )
| ( ! [U_5572] : ~ p1_s1_finseq_1(sK692,U_5572)
& r2_hidden(sK692,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(sK692,k1_numbers,k5_numbers) )
| ( sK690 != sK691
& p1_s1_finseq_1(sK689,sK691)
& p1_s1_finseq_1(sK689,sK690)
& r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(sK689,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK692]),skolemize(U_5573,sK692)],[f_2136_5]) ).
fof(f_2136_7,plain,
( ( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(sK693,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers) )
& k4_finseq_1(sK693) = k2_finseq_1(f1_s1_finseq_1)
& v1_finseq_1(sK693)
& v1_funct_1(sK693)
& v1_relat_1(sK693) )
| ( ! [U_5572] : ~ p1_s1_finseq_1(sK692,U_5572)
& r2_hidden(sK692,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(sK692,k1_numbers,k5_numbers) )
| ( sK690 != sK691
& p1_s1_finseq_1(sK689,sK691)
& p1_s1_finseq_1(sK689,sK690)
& r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1))
& m2_subset_1(sK689,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK693]),skolemize(U_5575,sK693)],[f_2136_6]) ).
fof(f_2136_8,plain,
( ! [U_5574] :
( p1_s1_finseq_1(U_5574,k1_funct_1(sK693,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers)
| ~ sP1018(U_5574) )
& ! [U_5574] :
( k4_finseq_1(sK693) = k2_finseq_1(f1_s1_finseq_1)
| ~ sP1018(U_5574) )
& ! [U_5574] :
( v1_finseq_1(sK693)
| ~ sP1018(U_5574) )
& ! [U_5574] :
( v1_funct_1(sK693)
| ~ sP1018(U_5574) )
& ! [U_5574] :
( v1_relat_1(sK693)
| ~ sP1018(U_5574) )
& ! [U_5572] :
( ~ p1_s1_finseq_1(sK692,U_5572)
| ~ sP1017(U_5572) )
& ! [U_5572] :
( r2_hidden(sK692,k2_finseq_1(f1_s1_finseq_1))
| ~ sP1017(U_5572) )
& ! [U_5572] :
( m2_subset_1(sK692,k1_numbers,k5_numbers)
| ~ sP1017(U_5572) )
& ( sK690 != sK691
| ~ sP1016 )
& ( p1_s1_finseq_1(sK689,sK691)
| ~ sP1016 )
& ( p1_s1_finseq_1(sK689,sK690)
| ~ sP1016 )
& ( r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1))
| ~ sP1016 )
& ( m2_subset_1(sK689,k1_numbers,k5_numbers)
| ~ sP1016 )
& ! [U_5572,U_5574] :
( sP1018(U_5574)
| sP1017(U_5572)
| sP1016 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1016,sP1017,sP1018])],[f_2136_7]) ).
cnf(f_2136_9,plain,
( sP1018(U_5574)
| sP1017(U_5572)
| sP1016 ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_10,plain,
( m2_subset_1(sK689,k1_numbers,k5_numbers)
| ~ sP1016 ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_11,plain,
( r2_hidden(sK689,k2_finseq_1(f1_s1_finseq_1))
| ~ sP1016 ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_12,plain,
( p1_s1_finseq_1(sK689,sK690)
| ~ sP1016 ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_13,plain,
( p1_s1_finseq_1(sK689,sK691)
| ~ sP1016 ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_14,plain,
( sK690 != sK691
| ~ sP1016 ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_15,plain,
( m2_subset_1(sK692,k1_numbers,k5_numbers)
| ~ sP1017(U_5572) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_16,plain,
( r2_hidden(sK692,k2_finseq_1(f1_s1_finseq_1))
| ~ sP1017(U_5572) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_17,plain,
( ~ p1_s1_finseq_1(sK692,U_5572)
| ~ sP1017(U_5572) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_18,plain,
( v1_relat_1(sK693)
| ~ sP1018(U_5574) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_19,plain,
( v1_funct_1(sK693)
| ~ sP1018(U_5574) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_20,plain,
( v1_finseq_1(sK693)
| ~ sP1018(U_5574) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_21,plain,
( k4_finseq_1(sK693) = k2_finseq_1(f1_s1_finseq_1)
| ~ sP1018(U_5574) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
cnf(f_2136_22,plain,
( p1_s1_finseq_1(U_5574,k1_funct_1(sK693,U_5574))
| ~ r2_hidden(U_5574,k2_finseq_1(f1_s1_finseq_1))
| ~ m2_subset_1(U_5574,k1_numbers,k5_numbers)
| ~ sP1018(U_5574) ),
inference(clausify,[status(thm)],[f_2136_8]) ).
fof(f_2137_1,plain,
? [A] :
( ! [B] :
( k1_funct_1(A,B) = f2_s2_finseq_1(B)
| ~ r2_hidden(B,k2_finseq_1(f1_s2_finseq_1))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
& k3_finseq_1(A) = f1_s2_finseq_1
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[s2_finseq_1]) ).
fof(f_2137_2,plain,
? [U_5577] :
( ! [U_5576] :
( k1_funct_1(U_5577,U_5576) = f2_s2_finseq_1(U_5576)
| ~ r2_hidden(U_5576,k2_finseq_1(f1_s2_finseq_1))
| ~ m2_subset_1(U_5576,k1_numbers,k5_numbers) )
& k3_finseq_1(U_5577) = f1_s2_finseq_1
& v1_finseq_1(U_5577)
& v1_funct_1(U_5577)
& v1_relat_1(U_5577) ),
inference(variable_rename,[status(thm)],[f_2137_1]) ).
fof(f_2137_3,plain,
( ! [U_5576] :
( k1_funct_1(sK694,U_5576) = f2_s2_finseq_1(U_5576)
| ~ r2_hidden(U_5576,k2_finseq_1(f1_s2_finseq_1))
| ~ m2_subset_1(U_5576,k1_numbers,k5_numbers) )
& k3_finseq_1(sK694) = f1_s2_finseq_1
& v1_finseq_1(sK694)
& v1_funct_1(sK694)
& v1_relat_1(sK694) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK694]),skolemize(U_5577,sK694)],[f_2137_2]) ).
fof(f_2137_4,plain,
( ! [U_5576] :
( k1_funct_1(sK694,U_5576) = f2_s2_finseq_1(U_5576)
| ~ r2_hidden(U_5576,k2_finseq_1(f1_s2_finseq_1))
| ~ m2_subset_1(U_5576,k1_numbers,k5_numbers) )
& k3_finseq_1(sK694) = f1_s2_finseq_1
& v1_finseq_1(sK694)
& v1_funct_1(sK694)
& v1_relat_1(sK694) ),
inference(definitional_conversion,[status(esa)],[f_2137_3]) ).
cnf(f_2137_5,plain,
v1_relat_1(sK694),
inference(clausify,[status(thm)],[f_2137_4]) ).
cnf(f_2137_6,plain,
v1_funct_1(sK694),
inference(clausify,[status(thm)],[f_2137_4]) ).
cnf(f_2137_7,plain,
v1_finseq_1(sK694),
inference(clausify,[status(thm)],[f_2137_4]) ).
cnf(f_2137_8,plain,
k3_finseq_1(sK694) = f1_s2_finseq_1,
inference(clausify,[status(thm)],[f_2137_4]) ).
cnf(f_2137_9,plain,
( k1_funct_1(sK694,U_5576) = f2_s2_finseq_1(U_5576)
| ~ r2_hidden(U_5576,k2_finseq_1(f1_s2_finseq_1))
| ~ m2_subset_1(U_5576,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2137_4]) ).
fof(f_2138_1,plain,
( ! [A] :
( p1_s3_finseq_1(A)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) )
| ? [A] :
( ? [B] :
( ~ p1_s3_finseq_1(k7_finseq_1(A,k9_finseq_1(B)))
& p1_s3_finseq_1(A) )
& v1_finseq_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ p1_s3_finseq_1(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[s3_finseq_1]) ).
fof(f_2138_2,plain,
( ! [U_5580] :
( p1_s3_finseq_1(U_5580)
| ~ v1_finseq_1(U_5580)
| ~ v1_funct_1(U_5580)
| ~ v1_relat_1(U_5580) )
| ? [U_5579] :
( ? [U_5578] :
( ~ p1_s3_finseq_1(k7_finseq_1(U_5579,k9_finseq_1(U_5578)))
& p1_s3_finseq_1(U_5579) )
& v1_finseq_1(U_5579)
& v1_funct_1(U_5579)
& v1_relat_1(U_5579) )
| ~ p1_s3_finseq_1(k1_xboole_0) ),
inference(variable_rename,[status(thm)],[f_2138_1]) ).
fof(f_2138_3,plain,
( ! [U_5580] :
( p1_s3_finseq_1(U_5580)
| ~ v1_finseq_1(U_5580)
| ~ v1_funct_1(U_5580)
| ~ v1_relat_1(U_5580) )
| ? [U_5579] :
( ? [U_5578] : ~ p1_s3_finseq_1(k7_finseq_1(U_5579,k9_finseq_1(U_5578)))
& p1_s3_finseq_1(U_5579)
& v1_finseq_1(U_5579)
& v1_funct_1(U_5579)
& v1_relat_1(U_5579) )
| ~ p1_s3_finseq_1(k1_xboole_0) ),
inference(miniscope,[status(thm)],[f_2138_2]) ).
fof(f_2138_4,plain,
( ! [U_5580] :
( p1_s3_finseq_1(U_5580)
| ~ v1_finseq_1(U_5580)
| ~ v1_funct_1(U_5580)
| ~ v1_relat_1(U_5580) )
| ( ? [U_5578] : ~ p1_s3_finseq_1(k7_finseq_1(sK695,k9_finseq_1(U_5578)))
& p1_s3_finseq_1(sK695)
& v1_finseq_1(sK695)
& v1_funct_1(sK695)
& v1_relat_1(sK695) )
| ~ p1_s3_finseq_1(k1_xboole_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK695]),skolemize(U_5579,sK695)],[f_2138_3]) ).
fof(f_2138_5,plain,
( ! [U_5580] :
( p1_s3_finseq_1(U_5580)
| ~ v1_finseq_1(U_5580)
| ~ v1_funct_1(U_5580)
| ~ v1_relat_1(U_5580) )
| ( ~ p1_s3_finseq_1(k7_finseq_1(sK695,k9_finseq_1(sK696)))
& p1_s3_finseq_1(sK695)
& v1_finseq_1(sK695)
& v1_funct_1(sK695)
& v1_relat_1(sK695) )
| ~ p1_s3_finseq_1(k1_xboole_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK696]),skolemize(U_5578,sK696)],[f_2138_4]) ).
fof(f_2138_6,plain,
( ( ~ p1_s3_finseq_1(k7_finseq_1(sK695,k9_finseq_1(sK696)))
| ~ sP1019 )
& ( p1_s3_finseq_1(sK695)
| ~ sP1019 )
& ( v1_finseq_1(sK695)
| ~ sP1019 )
& ( v1_funct_1(sK695)
| ~ sP1019 )
& ( v1_relat_1(sK695)
| ~ sP1019 )
& ! [U_5580] :
( p1_s3_finseq_1(U_5580)
| ~ v1_finseq_1(U_5580)
| ~ v1_funct_1(U_5580)
| ~ v1_relat_1(U_5580)
| sP1019
| ~ p1_s3_finseq_1(k1_xboole_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1019])],[f_2138_5]) ).
cnf(f_2138_7,plain,
( p1_s3_finseq_1(U_5580)
| ~ v1_finseq_1(U_5580)
| ~ v1_funct_1(U_5580)
| ~ v1_relat_1(U_5580)
| sP1019
| ~ p1_s3_finseq_1(k1_xboole_0) ),
inference(clausify,[status(thm)],[f_2138_6]) ).
cnf(f_2138_8,plain,
( v1_relat_1(sK695)
| ~ sP1019 ),
inference(clausify,[status(thm)],[f_2138_6]) ).
cnf(f_2138_9,plain,
( v1_funct_1(sK695)
| ~ sP1019 ),
inference(clausify,[status(thm)],[f_2138_6]) ).
cnf(f_2138_10,plain,
( v1_finseq_1(sK695)
| ~ sP1019 ),
inference(clausify,[status(thm)],[f_2138_6]) ).
cnf(f_2138_11,plain,
( p1_s3_finseq_1(sK695)
| ~ sP1019 ),
inference(clausify,[status(thm)],[f_2138_6]) ).
cnf(f_2138_12,plain,
( ~ p1_s3_finseq_1(k7_finseq_1(sK695,k9_finseq_1(sK696)))
| ~ sP1019 ),
inference(clausify,[status(thm)],[f_2138_6]) ).
fof(f_2139_1,plain,
? [A] :
! [B] :
( ( r2_hidden(B,A)
| ! [C] :
( B != C
| ~ p1_s4_finseq_1(C)
| ~ r2_hidden(C,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(C)
| ~ v1_funct_1(C)
| ~ v1_relat_1(C) ) )
& ( ? [C] :
( B = C
& p1_s4_finseq_1(C)
& r2_hidden(C,k13_finseq_1(f1_s4_finseq_1))
& v1_finseq_1(C)
& v1_funct_1(C)
& v1_relat_1(C) )
| ~ r2_hidden(B,A) ) ),
inference(fof_nnf,[status(thm)],[s4_finseq_1]) ).
fof(f_2139_2,plain,
? [U_5584] :
! [U_5583] :
( ( r2_hidden(U_5583,U_5584)
| ! [U_5582] :
( U_5583 != U_5582
| ~ p1_s4_finseq_1(U_5582)
| ~ r2_hidden(U_5582,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(U_5582)
| ~ v1_funct_1(U_5582)
| ~ v1_relat_1(U_5582) ) )
& ( ? [U_5581] :
( U_5583 = U_5581
& p1_s4_finseq_1(U_5581)
& r2_hidden(U_5581,k13_finseq_1(f1_s4_finseq_1))
& v1_finseq_1(U_5581)
& v1_funct_1(U_5581)
& v1_relat_1(U_5581) )
| ~ r2_hidden(U_5583,U_5584) ) ),
inference(variable_rename,[status(thm)],[f_2139_1]) ).
fof(f_2139_3,plain,
? [U_5584] :
( ! [U_5586] :
( r2_hidden(U_5586,U_5584)
| ! [U_5582] :
( U_5586 != U_5582
| ~ p1_s4_finseq_1(U_5582)
| ~ r2_hidden(U_5582,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(U_5582)
| ~ v1_funct_1(U_5582)
| ~ v1_relat_1(U_5582) ) )
& ! [U_5585] :
( ? [U_5581] :
( U_5585 = U_5581
& p1_s4_finseq_1(U_5581)
& r2_hidden(U_5581,k13_finseq_1(f1_s4_finseq_1))
& v1_finseq_1(U_5581)
& v1_funct_1(U_5581)
& v1_relat_1(U_5581) )
| ~ r2_hidden(U_5585,U_5584) ) ),
inference(miniscope,[status(thm)],[f_2139_2]) ).
fof(f_2139_4,plain,
( ! [U_5586] :
( r2_hidden(U_5586,sK697)
| ! [U_5582] :
( U_5586 != U_5582
| ~ p1_s4_finseq_1(U_5582)
| ~ r2_hidden(U_5582,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(U_5582)
| ~ v1_funct_1(U_5582)
| ~ v1_relat_1(U_5582) ) )
& ! [U_5585] :
( ? [U_5581] :
( U_5585 = U_5581
& p1_s4_finseq_1(U_5581)
& r2_hidden(U_5581,k13_finseq_1(f1_s4_finseq_1))
& v1_finseq_1(U_5581)
& v1_funct_1(U_5581)
& v1_relat_1(U_5581) )
| ~ r2_hidden(U_5585,sK697) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK697]),skolemize(U_5584,sK697)],[f_2139_3]) ).
fof(f_2139_5,plain,
( ! [U_5586] :
( r2_hidden(U_5586,sK697)
| ! [U_5582] :
( U_5586 != U_5582
| ~ p1_s4_finseq_1(U_5582)
| ~ r2_hidden(U_5582,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(U_5582)
| ~ v1_funct_1(U_5582)
| ~ v1_relat_1(U_5582) ) )
& ! [U_5585] :
( ( U_5585 = sK698(U_5585)
& p1_s4_finseq_1(sK698(U_5585))
& r2_hidden(sK698(U_5585),k13_finseq_1(f1_s4_finseq_1))
& v1_finseq_1(sK698(U_5585))
& v1_funct_1(sK698(U_5585))
& v1_relat_1(sK698(U_5585)) )
| ~ r2_hidden(U_5585,sK697) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK698]),skolemize(U_5581,sK698(U_5585))],[f_2139_4]) ).
fof(f_2139_6,plain,
( ! [U_5585] :
( U_5585 = sK698(U_5585)
| ~ sP1020(U_5585) )
& ! [U_5585] :
( p1_s4_finseq_1(sK698(U_5585))
| ~ sP1020(U_5585) )
& ! [U_5585] :
( r2_hidden(sK698(U_5585),k13_finseq_1(f1_s4_finseq_1))
| ~ sP1020(U_5585) )
& ! [U_5585] :
( v1_finseq_1(sK698(U_5585))
| ~ sP1020(U_5585) )
& ! [U_5585] :
( v1_funct_1(sK698(U_5585))
| ~ sP1020(U_5585) )
& ! [U_5585] :
( v1_relat_1(sK698(U_5585))
| ~ sP1020(U_5585) )
& ! [U_5582,U_5586] :
( r2_hidden(U_5586,sK697)
| U_5586 != U_5582
| ~ p1_s4_finseq_1(U_5582)
| ~ r2_hidden(U_5582,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(U_5582)
| ~ v1_funct_1(U_5582)
| ~ v1_relat_1(U_5582) )
& ! [U_5585] :
( sP1020(U_5585)
| ~ r2_hidden(U_5585,sK697) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1020])],[f_2139_5]) ).
cnf(f_2139_7,plain,
( sP1020(U_5585)
| ~ r2_hidden(U_5585,sK697) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_8,plain,
( r2_hidden(U_5586,sK697)
| U_5586 != U_5582
| ~ p1_s4_finseq_1(U_5582)
| ~ r2_hidden(U_5582,k13_finseq_1(f1_s4_finseq_1))
| ~ v1_finseq_1(U_5582)
| ~ v1_funct_1(U_5582)
| ~ v1_relat_1(U_5582) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_9,plain,
( v1_relat_1(sK698(U_5585))
| ~ sP1020(U_5585) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_10,plain,
( v1_funct_1(sK698(U_5585))
| ~ sP1020(U_5585) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_11,plain,
( v1_finseq_1(sK698(U_5585))
| ~ sP1020(U_5585) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_12,plain,
( r2_hidden(sK698(U_5585),k13_finseq_1(f1_s4_finseq_1))
| ~ sP1020(U_5585) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_13,plain,
( p1_s4_finseq_1(sK698(U_5585))
| ~ sP1020(U_5585) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
cnf(f_2139_14,plain,
( U_5585 = sK698(U_5585)
| ~ sP1020(U_5585) ),
inference(clausify,[status(thm)],[f_2139_6]) ).
fof(f_2140_1,plain,
( ? [A] :
( ! [B] :
( p1_s5_finseq_1(B,k1_funct_1(A,B))
| ~ r2_hidden(B,k2_finseq_1(f2_s5_finseq_1))
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
& k4_finseq_1(A) = k2_finseq_1(f2_s5_finseq_1)
& m2_finseq_1(A,f1_s5_finseq_1) )
| ? [A] :
( ! [B] :
( ~ p1_s5_finseq_1(A,B)
| ~ m1_subset_1(B,f1_s5_finseq_1) )
& r2_hidden(A,k2_finseq_1(f2_s5_finseq_1))
& m2_subset_1(A,k1_numbers,k5_numbers) ) ),
inference(fof_nnf,[status(thm)],[s5_finseq_1]) ).
fof(f_2140_2,plain,
( ? [U_5590] :
( ! [U_5589] :
( p1_s5_finseq_1(U_5589,k1_funct_1(U_5590,U_5589))
| ~ r2_hidden(U_5589,k2_finseq_1(f2_s5_finseq_1))
| ~ m2_subset_1(U_5589,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5590) = k2_finseq_1(f2_s5_finseq_1)
& m2_finseq_1(U_5590,f1_s5_finseq_1) )
| ? [U_5588] :
( ! [U_5587] :
( ~ p1_s5_finseq_1(U_5588,U_5587)
| ~ m1_subset_1(U_5587,f1_s5_finseq_1) )
& r2_hidden(U_5588,k2_finseq_1(f2_s5_finseq_1))
& m2_subset_1(U_5588,k1_numbers,k5_numbers) ) ),
inference(variable_rename,[status(thm)],[f_2140_1]) ).
fof(f_2140_3,plain,
( ? [U_5590] :
( ! [U_5589] :
( p1_s5_finseq_1(U_5589,k1_funct_1(U_5590,U_5589))
| ~ r2_hidden(U_5589,k2_finseq_1(f2_s5_finseq_1))
| ~ m2_subset_1(U_5589,k1_numbers,k5_numbers) )
& k4_finseq_1(U_5590) = k2_finseq_1(f2_s5_finseq_1)
& m2_finseq_1(U_5590,f1_s5_finseq_1) )
| ( ! [U_5587] :
( ~ p1_s5_finseq_1(sK699,U_5587)
| ~ m1_subset_1(U_5587,f1_s5_finseq_1) )
& r2_hidden(sK699,k2_finseq_1(f2_s5_finseq_1))
& m2_subset_1(sK699,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK699]),skolemize(U_5588,sK699)],[f_2140_2]) ).
fof(f_2140_4,plain,
( ( ! [U_5589] :
( p1_s5_finseq_1(U_5589,k1_funct_1(sK700,U_5589))
| ~ r2_hidden(U_5589,k2_finseq_1(f2_s5_finseq_1))
| ~ m2_subset_1(U_5589,k1_numbers,k5_numbers) )
& k4_finseq_1(sK700) = k2_finseq_1(f2_s5_finseq_1)
& m2_finseq_1(sK700,f1_s5_finseq_1) )
| ( ! [U_5587] :
( ~ p1_s5_finseq_1(sK699,U_5587)
| ~ m1_subset_1(U_5587,f1_s5_finseq_1) )
& r2_hidden(sK699,k2_finseq_1(f2_s5_finseq_1))
& m2_subset_1(sK699,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK700]),skolemize(U_5590,sK700)],[f_2140_3]) ).
fof(f_2140_5,plain,
( ! [U_5589] :
( p1_s5_finseq_1(U_5589,k1_funct_1(sK700,U_5589))
| ~ r2_hidden(U_5589,k2_finseq_1(f2_s5_finseq_1))
| ~ m2_subset_1(U_5589,k1_numbers,k5_numbers)
| ~ sP1022(U_5589) )
& ! [U_5589] :
( k4_finseq_1(sK700) = k2_finseq_1(f2_s5_finseq_1)
| ~ sP1022(U_5589) )
& ! [U_5589] :
( m2_finseq_1(sK700,f1_s5_finseq_1)
| ~ sP1022(U_5589) )
& ! [U_5587] :
( ~ p1_s5_finseq_1(sK699,U_5587)
| ~ m1_subset_1(U_5587,f1_s5_finseq_1)
| ~ sP1021(U_5587) )
& ! [U_5587] :
( r2_hidden(sK699,k2_finseq_1(f2_s5_finseq_1))
| ~ sP1021(U_5587) )
& ! [U_5587] :
( m2_subset_1(sK699,k1_numbers,k5_numbers)
| ~ sP1021(U_5587) )
& ! [U_5589,U_5587] :
( sP1022(U_5589)
| sP1021(U_5587) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1021,sP1022])],[f_2140_4]) ).
cnf(f_2140_6,plain,
( sP1022(U_5589)
| sP1021(U_5587) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
cnf(f_2140_7,plain,
( m2_subset_1(sK699,k1_numbers,k5_numbers)
| ~ sP1021(U_5587) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
cnf(f_2140_8,plain,
( r2_hidden(sK699,k2_finseq_1(f2_s5_finseq_1))
| ~ sP1021(U_5587) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
cnf(f_2140_9,plain,
( ~ p1_s5_finseq_1(sK699,U_5587)
| ~ m1_subset_1(U_5587,f1_s5_finseq_1)
| ~ sP1021(U_5587) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
cnf(f_2140_10,plain,
( m2_finseq_1(sK700,f1_s5_finseq_1)
| ~ sP1022(U_5589) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
cnf(f_2140_11,plain,
( k4_finseq_1(sK700) = k2_finseq_1(f2_s5_finseq_1)
| ~ sP1022(U_5589) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
cnf(f_2140_12,plain,
( p1_s5_finseq_1(U_5589,k1_funct_1(sK700,U_5589))
| ~ r2_hidden(U_5589,k2_finseq_1(f2_s5_finseq_1))
| ~ m2_subset_1(U_5589,k1_numbers,k5_numbers)
| ~ sP1022(U_5589) ),
inference(clausify,[status(thm)],[f_2140_5]) ).
fof(f_2141_1,plain,
! [A,B] :
( ( v1_finseq_1(B)
& v1_funct_1(B)
& v1_relat_1(B) )
| ~ m1_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_m1_finseq_1]) ).
fof(f_2141_2,plain,
! [U_5592,U_5591] :
( ( v1_finseq_1(U_5591)
& v1_funct_1(U_5591)
& v1_relat_1(U_5591) )
| ~ m1_finseq_1(U_5591,U_5592) ),
inference(variable_rename,[status(thm)],[f_2141_1]) ).
fof(f_2141_3,plain,
( ! [U_5591] :
( v1_finseq_1(U_5591)
| ~ sP1023(U_5591) )
& ! [U_5591] :
( v1_funct_1(U_5591)
| ~ sP1023(U_5591) )
& ! [U_5591] :
( v1_relat_1(U_5591)
| ~ sP1023(U_5591) )
& ! [U_5592,U_5591] :
( sP1023(U_5591)
| ~ m1_finseq_1(U_5591,U_5592) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1023])],[f_2141_2]) ).
cnf(f_2141_4,plain,
( sP1023(U_5591)
| ~ m1_finseq_1(U_5591,U_5592) ),
inference(clausify,[status(thm)],[f_2141_3]) ).
cnf(f_2141_5,plain,
( v1_relat_1(U_5591)
| ~ sP1023(U_5591) ),
inference(clausify,[status(thm)],[f_2141_3]) ).
cnf(f_2141_6,plain,
( v1_funct_1(U_5591)
| ~ sP1023(U_5591) ),
inference(clausify,[status(thm)],[f_2141_3]) ).
cnf(f_2141_7,plain,
( v1_finseq_1(U_5591)
| ~ sP1023(U_5591) ),
inference(clausify,[status(thm)],[f_2141_3]) ).
fof(f_2142_1,plain,
! [A] :
? [B] : m1_finseq_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_finseq_1]) ).
fof(f_2142_2,plain,
! [U_5594] :
? [U_5593] : m1_finseq_1(U_5593,U_5594),
inference(variable_rename,[status(thm)],[f_2142_1]) ).
fof(f_2142_3,plain,
! [U_5594] : m1_finseq_1(sK701(U_5594),U_5594),
inference(skolemize,[status(esa),new_symbols(skolem,[sK701]),skolemize(U_5593,sK701(U_5594))],[f_2142_2]) ).
fof(f_2142_4,plain,
! [U_5594] : m1_finseq_1(sK701(U_5594),U_5594),
inference(definitional_conversion,[status(esa)],[f_2142_3]) ).
cnf(f_2142_5,plain,
m1_finseq_1(sK701(U_5594),U_5594),
inference(clausify,[status(thm)],[f_2142_4]) ).
fof(f_2143_1,plain,
! [A,B] :
( ( m2_relset_1(B,k5_numbers,A)
& v1_finseq_1(B)
& v1_funct_1(B) )
| ~ m2_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_m2_finseq_1]) ).
fof(f_2143_2,plain,
! [U_5596,U_5595] :
( ( m2_relset_1(U_5595,k5_numbers,U_5596)
& v1_finseq_1(U_5595)
& v1_funct_1(U_5595) )
| ~ m2_finseq_1(U_5595,U_5596) ),
inference(variable_rename,[status(thm)],[f_2143_1]) ).
fof(f_2143_3,plain,
( ! [U_5595,U_5596] :
( m2_relset_1(U_5595,k5_numbers,U_5596)
| ~ sP1024(U_5595,U_5596) )
& ! [U_5595,U_5596] :
( v1_finseq_1(U_5595)
| ~ sP1024(U_5595,U_5596) )
& ! [U_5595,U_5596] :
( v1_funct_1(U_5595)
| ~ sP1024(U_5595,U_5596) )
& ! [U_5595,U_5596] :
( sP1024(U_5595,U_5596)
| ~ m2_finseq_1(U_5595,U_5596) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1024])],[f_2143_2]) ).
cnf(f_2143_4,plain,
( sP1024(U_5595,U_5596)
| ~ m2_finseq_1(U_5595,U_5596) ),
inference(clausify,[status(thm)],[f_2143_3]) ).
cnf(f_2143_5,plain,
( v1_funct_1(U_5595)
| ~ sP1024(U_5595,U_5596) ),
inference(clausify,[status(thm)],[f_2143_3]) ).
cnf(f_2143_6,plain,
( v1_finseq_1(U_5595)
| ~ sP1024(U_5595,U_5596) ),
inference(clausify,[status(thm)],[f_2143_3]) ).
cnf(f_2143_7,plain,
( m2_relset_1(U_5595,k5_numbers,U_5596)
| ~ sP1024(U_5595,U_5596) ),
inference(clausify,[status(thm)],[f_2143_3]) ).
fof(f_2144_1,plain,
! [A] :
? [B] : m2_finseq_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m2_finseq_1]) ).
fof(f_2144_2,plain,
! [U_5598] :
? [U_5597] : m2_finseq_1(U_5597,U_5598),
inference(variable_rename,[status(thm)],[f_2144_1]) ).
fof(f_2144_3,plain,
! [U_5598] : m2_finseq_1(sK702(U_5598),U_5598),
inference(skolemize,[status(esa),new_symbols(skolem,[sK702]),skolemize(U_5597,sK702(U_5598))],[f_2144_2]) ).
fof(f_2144_4,plain,
! [U_5598] : m2_finseq_1(sK702(U_5598),U_5598),
inference(definitional_conversion,[status(esa)],[f_2144_3]) ).
cnf(f_2144_5,plain,
m2_finseq_1(sK702(U_5598),U_5598),
inference(clausify,[status(thm)],[f_2144_4]) ).
fof(f_2145_1,plain,
! [A,B] :
( ( m2_finseq_1(B,A)
| ~ m1_finseq_1(B,A) )
& ( m1_finseq_1(B,A)
| ~ m2_finseq_1(B,A) ) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1]) ).
fof(f_2145_2,plain,
! [U_5600,U_5599] :
( ( m2_finseq_1(U_5599,U_5600)
| ~ m1_finseq_1(U_5599,U_5600) )
& ( m1_finseq_1(U_5599,U_5600)
| ~ m2_finseq_1(U_5599,U_5600) ) ),
inference(variable_rename,[status(thm)],[f_2145_1]) ).
fof(f_2145_3,plain,
( ! [U_5604,U_5602] :
( m2_finseq_1(U_5602,U_5604)
| ~ m1_finseq_1(U_5602,U_5604) )
& ! [U_5603,U_5601] :
( m1_finseq_1(U_5601,U_5603)
| ~ m2_finseq_1(U_5601,U_5603) ) ),
inference(miniscope,[status(thm)],[f_2145_2]) ).
fof(f_2145_4,plain,
( ! [U_5602,U_5604] :
( m2_finseq_1(U_5602,U_5604)
| ~ m1_finseq_1(U_5602,U_5604) )
& ! [U_5601,U_5603] :
( m1_finseq_1(U_5601,U_5603)
| ~ m2_finseq_1(U_5601,U_5603) ) ),
inference(definitional_conversion,[status(esa)],[f_2145_3]) ).
cnf(f_2145_5,plain,
( m1_finseq_1(U_5601,U_5603)
| ~ m2_finseq_1(U_5601,U_5603) ),
inference(clausify,[status(thm)],[f_2145_4]) ).
cnf(f_2145_6,plain,
( m2_finseq_1(U_5602,U_5604)
| ~ m1_finseq_1(U_5602,U_5604) ),
inference(clausify,[status(thm)],[f_2145_4]) ).
fof(f_2146_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_finseq_1]) ).
fof(f_2146_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2146_1]) ).
cnf(f_2146_3,plain,
$true,
inference(clausify,[status(thm)],[f_2146_2]) ).
fof(f_2147_1,plain,
! [A] :
( m1_subset_1(k2_finseq_1(A),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_finseq_1]) ).
fof(f_2147_2,plain,
! [U_5605] :
( m1_subset_1(k2_finseq_1(U_5605),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(U_5605) ),
inference(variable_rename,[status(thm)],[f_2147_1]) ).
fof(f_2147_3,plain,
! [U_5605] :
( m1_subset_1(k2_finseq_1(U_5605),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(U_5605) ),
inference(definitional_conversion,[status(esa)],[f_2147_2]) ).
cnf(f_2147_4,plain,
( m1_subset_1(k2_finseq_1(U_5605),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(U_5605) ),
inference(clausify,[status(thm)],[f_2147_3]) ).
fof(f_2148_1,plain,
! [A] :
( k2_finseq_1(A) = k1_finseq_1(A)
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k2_finseq_1]) ).
fof(f_2148_2,plain,
! [U_5606] :
( k2_finseq_1(U_5606) = k1_finseq_1(U_5606)
| ~ v4_ordinal2(U_5606) ),
inference(variable_rename,[status(thm)],[f_2148_1]) ).
fof(f_2148_3,plain,
! [U_5606] :
( k2_finseq_1(U_5606) = k1_finseq_1(U_5606)
| ~ v4_ordinal2(U_5606) ),
inference(definitional_conversion,[status(esa)],[f_2148_2]) ).
cnf(f_2148_4,plain,
( k2_finseq_1(U_5606) = k1_finseq_1(U_5606)
| ~ v4_ordinal2(U_5606) ),
inference(clausify,[status(thm)],[f_2148_3]) ).
fof(f_2149_1,plain,
! [A] :
( m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_finseq_1]) ).
fof(f_2149_2,plain,
! [U_5607] :
( m2_subset_1(k3_finseq_1(U_5607),k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5607)
| ~ v1_funct_1(U_5607)
| ~ v1_relat_1(U_5607) ),
inference(variable_rename,[status(thm)],[f_2149_1]) ).
fof(f_2149_3,plain,
! [U_5607] :
( m2_subset_1(k3_finseq_1(U_5607),k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5607)
| ~ v1_funct_1(U_5607)
| ~ v1_relat_1(U_5607) ),
inference(definitional_conversion,[status(esa)],[f_2149_2]) ).
cnf(f_2149_4,plain,
( m2_subset_1(k3_finseq_1(U_5607),k1_numbers,k5_numbers)
| ~ v1_finseq_1(U_5607)
| ~ v1_funct_1(U_5607)
| ~ v1_relat_1(U_5607) ),
inference(clausify,[status(thm)],[f_2149_3]) ).
fof(f_2150_1,plain,
! [A] :
( k3_finseq_1(A) = k1_card_1(A)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k3_finseq_1]) ).
fof(f_2150_2,plain,
! [U_5608] :
( k3_finseq_1(U_5608) = k1_card_1(U_5608)
| ~ v1_finseq_1(U_5608)
| ~ v1_funct_1(U_5608)
| ~ v1_relat_1(U_5608) ),
inference(variable_rename,[status(thm)],[f_2150_1]) ).
fof(f_2150_3,plain,
! [U_5608] :
( k3_finseq_1(U_5608) = k1_card_1(U_5608)
| ~ v1_finseq_1(U_5608)
| ~ v1_funct_1(U_5608)
| ~ v1_relat_1(U_5608) ),
inference(definitional_conversion,[status(esa)],[f_2150_2]) ).
cnf(f_2150_4,plain,
( k3_finseq_1(U_5608) = k1_card_1(U_5608)
| ~ v1_finseq_1(U_5608)
| ~ v1_funct_1(U_5608)
| ~ v1_relat_1(U_5608) ),
inference(clausify,[status(thm)],[f_2150_3]) ).
fof(f_2151_1,plain,
! [A] :
( m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k5_numbers))
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_finseq_1]) ).
fof(f_2151_2,plain,
! [U_5609] :
( m1_subset_1(k4_finseq_1(U_5609),k1_zfmisc_1(k5_numbers))
| ~ v1_finseq_1(U_5609)
| ~ v1_funct_1(U_5609)
| ~ v1_relat_1(U_5609) ),
inference(variable_rename,[status(thm)],[f_2151_1]) ).
fof(f_2151_3,plain,
! [U_5609] :
( m1_subset_1(k4_finseq_1(U_5609),k1_zfmisc_1(k5_numbers))
| ~ v1_finseq_1(U_5609)
| ~ v1_funct_1(U_5609)
| ~ v1_relat_1(U_5609) ),
inference(definitional_conversion,[status(esa)],[f_2151_2]) ).
cnf(f_2151_4,plain,
( m1_subset_1(k4_finseq_1(U_5609),k1_zfmisc_1(k5_numbers))
| ~ v1_finseq_1(U_5609)
| ~ v1_funct_1(U_5609)
| ~ v1_relat_1(U_5609) ),
inference(clausify,[status(thm)],[f_2151_3]) ).
fof(f_2152_1,plain,
! [A] :
( k4_finseq_1(A) = k1_relat_1(A)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_finseq_1]) ).
fof(f_2152_2,plain,
! [U_5610] :
( k4_finseq_1(U_5610) = k1_relat_1(U_5610)
| ~ v1_finseq_1(U_5610)
| ~ v1_funct_1(U_5610)
| ~ v1_relat_1(U_5610) ),
inference(variable_rename,[status(thm)],[f_2152_1]) ).
fof(f_2152_3,plain,
! [U_5610] :
( k4_finseq_1(U_5610) = k1_relat_1(U_5610)
| ~ v1_finseq_1(U_5610)
| ~ v1_funct_1(U_5610)
| ~ v1_relat_1(U_5610) ),
inference(definitional_conversion,[status(esa)],[f_2152_2]) ).
cnf(f_2152_4,plain,
( k4_finseq_1(U_5610) = k1_relat_1(U_5610)
| ~ v1_finseq_1(U_5610)
| ~ v1_funct_1(U_5610)
| ~ v1_relat_1(U_5610) ),
inference(clausify,[status(thm)],[f_2152_3]) ).
fof(f_2153_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k5_finseq_1]) ).
fof(f_2153_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2153_1]) ).
cnf(f_2153_3,plain,
$true,
inference(clausify,[status(thm)],[f_2153_2]) ).
fof(f_2154_1,plain,
! [A] :
( m2_finseq_1(k6_finseq_1(A),A)
& v1_xboole_0(k6_finseq_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k6_finseq_1]) ).
fof(f_2154_2,plain,
! [U_5611] :
( m2_finseq_1(k6_finseq_1(U_5611),U_5611)
& v1_xboole_0(k6_finseq_1(U_5611)) ),
inference(variable_rename,[status(thm)],[f_2154_1]) ).
fof(f_2154_3,plain,
( ! [U_5613] : m2_finseq_1(k6_finseq_1(U_5613),U_5613)
& ! [U_5612] : v1_xboole_0(k6_finseq_1(U_5612)) ),
inference(miniscope,[status(thm)],[f_2154_2]) ).
fof(f_2154_4,plain,
( ! [U_5613] : m2_finseq_1(k6_finseq_1(U_5613),U_5613)
& ! [U_5612] : v1_xboole_0(k6_finseq_1(U_5612)) ),
inference(definitional_conversion,[status(esa)],[f_2154_3]) ).
cnf(f_2154_5,plain,
v1_xboole_0(k6_finseq_1(U_5612)),
inference(clausify,[status(thm)],[f_2154_4]) ).
cnf(f_2154_6,plain,
m2_finseq_1(k6_finseq_1(U_5613),U_5613),
inference(clausify,[status(thm)],[f_2154_4]) ).
fof(f_2155_1,plain,
! [A,B] :
( ( v1_finseq_1(k7_finseq_1(A,B))
& v1_funct_1(k7_finseq_1(A,B))
& v1_relat_1(k7_finseq_1(A,B)) )
| ~ v1_finseq_1(B)
| ~ v1_funct_1(B)
| ~ v1_relat_1(B)
| ~ v1_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_finseq_1]) ).
fof(f_2155_2,plain,
! [U_5615,U_5614] :
( ( v1_finseq_1(k7_finseq_1(U_5615,U_5614))
& v1_funct_1(k7_finseq_1(U_5615,U_5614))
& v1_relat_1(k7_finseq_1(U_5615,U_5614)) )
| ~ v1_finseq_1(U_5614)
| ~ v1_funct_1(U_5614)
| ~ v1_relat_1(U_5614)
| ~ v1_finseq_1(U_5615)
| ~ v1_funct_1(U_5615)
| ~ v1_relat_1(U_5615) ),
inference(variable_rename,[status(thm)],[f_2155_1]) ).
fof(f_2155_3,plain,
( ! [U_5615,U_5614] :
( v1_finseq_1(k7_finseq_1(U_5615,U_5614))
| ~ sP1025(U_5615,U_5614) )
& ! [U_5615,U_5614] :
( v1_funct_1(k7_finseq_1(U_5615,U_5614))
| ~ sP1025(U_5615,U_5614) )
& ! [U_5615,U_5614] :
( v1_relat_1(k7_finseq_1(U_5615,U_5614))
| ~ sP1025(U_5615,U_5614) )
& ! [U_5615,U_5614] :
( sP1025(U_5615,U_5614)
| ~ v1_finseq_1(U_5614)
| ~ v1_funct_1(U_5614)
| ~ v1_relat_1(U_5614)
| ~ v1_finseq_1(U_5615)
| ~ v1_funct_1(U_5615)
| ~ v1_relat_1(U_5615) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1025])],[f_2155_2]) ).
cnf(f_2155_4,plain,
( sP1025(U_5615,U_5614)
| ~ v1_finseq_1(U_5614)
| ~ v1_funct_1(U_5614)
| ~ v1_relat_1(U_5614)
| ~ v1_finseq_1(U_5615)
| ~ v1_funct_1(U_5615)
| ~ v1_relat_1(U_5615) ),
inference(clausify,[status(thm)],[f_2155_3]) ).
cnf(f_2155_5,plain,
( v1_relat_1(k7_finseq_1(U_5615,U_5614))
| ~ sP1025(U_5615,U_5614) ),
inference(clausify,[status(thm)],[f_2155_3]) ).
cnf(f_2155_6,plain,
( v1_funct_1(k7_finseq_1(U_5615,U_5614))
| ~ sP1025(U_5615,U_5614) ),
inference(clausify,[status(thm)],[f_2155_3]) ).
cnf(f_2155_7,plain,
( v1_finseq_1(k7_finseq_1(U_5615,U_5614))
| ~ sP1025(U_5615,U_5614) ),
inference(clausify,[status(thm)],[f_2155_3]) ).
fof(f_2156_1,plain,
! [A,B,C] :
( m2_finseq_1(k8_finseq_1(A,B,C),A)
| ~ m1_finseq_1(C,A)
| ~ m1_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_k8_finseq_1]) ).
fof(f_2156_2,plain,
! [U_5618,U_5617,U_5616] :
( m2_finseq_1(k8_finseq_1(U_5618,U_5617,U_5616),U_5618)
| ~ m1_finseq_1(U_5616,U_5618)
| ~ m1_finseq_1(U_5617,U_5618) ),
inference(variable_rename,[status(thm)],[f_2156_1]) ).
fof(f_2156_3,plain,
! [U_5617,U_5618,U_5616] :
( m2_finseq_1(k8_finseq_1(U_5618,U_5617,U_5616),U_5618)
| ~ m1_finseq_1(U_5616,U_5618)
| ~ m1_finseq_1(U_5617,U_5618) ),
inference(definitional_conversion,[status(esa)],[f_2156_2]) ).
cnf(f_2156_4,plain,
( m2_finseq_1(k8_finseq_1(U_5618,U_5617,U_5616),U_5618)
| ~ m1_finseq_1(U_5616,U_5618)
| ~ m1_finseq_1(U_5617,U_5618) ),
inference(clausify,[status(thm)],[f_2156_3]) ).
fof(f_2157_1,plain,
! [A,B,C] :
( k8_finseq_1(A,B,C) = k7_finseq_1(B,C)
| ~ m1_finseq_1(C,A)
| ~ m1_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[redefinition_k8_finseq_1]) ).
fof(f_2157_2,plain,
! [U_5621,U_5620,U_5619] :
( k8_finseq_1(U_5621,U_5620,U_5619) = k7_finseq_1(U_5620,U_5619)
| ~ m1_finseq_1(U_5619,U_5621)
| ~ m1_finseq_1(U_5620,U_5621) ),
inference(variable_rename,[status(thm)],[f_2157_1]) ).
fof(f_2157_3,plain,
! [U_5620,U_5621,U_5619] :
( k8_finseq_1(U_5621,U_5620,U_5619) = k7_finseq_1(U_5620,U_5619)
| ~ m1_finseq_1(U_5619,U_5621)
| ~ m1_finseq_1(U_5620,U_5621) ),
inference(definitional_conversion,[status(esa)],[f_2157_2]) ).
cnf(f_2157_4,plain,
( k8_finseq_1(U_5621,U_5620,U_5619) = k7_finseq_1(U_5620,U_5619)
| ~ m1_finseq_1(U_5619,U_5621)
| ~ m1_finseq_1(U_5620,U_5621) ),
inference(clausify,[status(thm)],[f_2157_3]) ).
fof(f_2158_1,plain,
! [A] :
( v1_funct_1(k9_finseq_1(A))
& v1_relat_1(k9_finseq_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k9_finseq_1]) ).
fof(f_2158_2,plain,
! [U_5622] :
( v1_funct_1(k9_finseq_1(U_5622))
& v1_relat_1(k9_finseq_1(U_5622)) ),
inference(variable_rename,[status(thm)],[f_2158_1]) ).
fof(f_2158_3,plain,
( ! [U_5624] : v1_funct_1(k9_finseq_1(U_5624))
& ! [U_5623] : v1_relat_1(k9_finseq_1(U_5623)) ),
inference(miniscope,[status(thm)],[f_2158_2]) ).
fof(f_2158_4,plain,
( ! [U_5624] : v1_funct_1(k9_finseq_1(U_5624))
& ! [U_5623] : v1_relat_1(k9_finseq_1(U_5623)) ),
inference(definitional_conversion,[status(esa)],[f_2158_3]) ).
cnf(f_2158_5,plain,
v1_relat_1(k9_finseq_1(U_5623)),
inference(clausify,[status(thm)],[f_2158_4]) ).
cnf(f_2158_6,plain,
v1_funct_1(k9_finseq_1(U_5624)),
inference(clausify,[status(thm)],[f_2158_4]) ).
fof(f_2159_1,plain,
! [A] : k9_finseq_1(A) = k5_finseq_1(A),
inference(fof_nnf,[status(thm)],[redefinition_k9_finseq_1]) ).
fof(f_2159_2,plain,
! [U_5625] : k9_finseq_1(U_5625) = k5_finseq_1(U_5625),
inference(variable_rename,[status(thm)],[f_2159_1]) ).
fof(f_2159_3,plain,
! [U_5625] : k9_finseq_1(U_5625) = k5_finseq_1(U_5625),
inference(definitional_conversion,[status(esa)],[f_2159_2]) ).
cnf(f_2159_4,plain,
k9_finseq_1(U_5625) = k5_finseq_1(U_5625),
inference(clausify,[status(thm)],[f_2159_3]) ).
fof(f_2160_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k10_finseq_1]) ).
fof(f_2160_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2160_1]) ).
cnf(f_2160_3,plain,
$true,
inference(clausify,[status(thm)],[f_2160_2]) ).
fof(f_2161_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k11_finseq_1]) ).
fof(f_2161_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2161_1]) ).
cnf(f_2161_3,plain,
$true,
inference(clausify,[status(thm)],[f_2161_2]) ).
fof(f_2162_1,plain,
! [A,B] :
( m2_finseq_1(k12_finseq_1(A,B),A)
| ~ m1_subset_1(B,A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k12_finseq_1]) ).
fof(f_2162_2,plain,
! [U_5627,U_5626] :
( m2_finseq_1(k12_finseq_1(U_5627,U_5626),U_5627)
| ~ m1_subset_1(U_5626,U_5627)
| v1_xboole_0(U_5627) ),
inference(variable_rename,[status(thm)],[f_2162_1]) ).
fof(f_2162_3,plain,
! [U_5626,U_5627] :
( m2_finseq_1(k12_finseq_1(U_5627,U_5626),U_5627)
| ~ m1_subset_1(U_5626,U_5627)
| v1_xboole_0(U_5627) ),
inference(definitional_conversion,[status(esa)],[f_2162_2]) ).
cnf(f_2162_4,plain,
( m2_finseq_1(k12_finseq_1(U_5627,U_5626),U_5627)
| ~ m1_subset_1(U_5626,U_5627)
| v1_xboole_0(U_5627) ),
inference(clausify,[status(thm)],[f_2162_3]) ).
fof(f_2163_1,plain,
! [A,B] :
( k12_finseq_1(A,B) = k5_finseq_1(B)
| ~ m1_subset_1(B,A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k12_finseq_1]) ).
fof(f_2163_2,plain,
! [U_5629,U_5628] :
( k12_finseq_1(U_5629,U_5628) = k5_finseq_1(U_5628)
| ~ m1_subset_1(U_5628,U_5629)
| v1_xboole_0(U_5629) ),
inference(variable_rename,[status(thm)],[f_2163_1]) ).
fof(f_2163_3,plain,
! [U_5628,U_5629] :
( k12_finseq_1(U_5629,U_5628) = k5_finseq_1(U_5628)
| ~ m1_subset_1(U_5628,U_5629)
| v1_xboole_0(U_5629) ),
inference(definitional_conversion,[status(esa)],[f_2163_2]) ).
cnf(f_2163_4,plain,
( k12_finseq_1(U_5629,U_5628) = k5_finseq_1(U_5628)
| ~ m1_subset_1(U_5628,U_5629)
| v1_xboole_0(U_5629) ),
inference(clausify,[status(thm)],[f_2163_3]) ).
fof(f_2164_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k13_finseq_1]) ).
fof(f_2164_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2164_1]) ).
cnf(f_2164_3,plain,
$true,
inference(clausify,[status(thm)],[f_2164_2]) ).
fof(f_2165_1,plain,
! [A] : m2_finseq_1(k14_finseq_1(A),k5_numbers),
inference(fof_nnf,[status(thm)],[dt_k14_finseq_1]) ).
fof(f_2165_2,plain,
! [U_5630] : m2_finseq_1(k14_finseq_1(U_5630),k5_numbers),
inference(variable_rename,[status(thm)],[f_2165_1]) ).
fof(f_2165_3,plain,
! [U_5630] : m2_finseq_1(k14_finseq_1(U_5630),k5_numbers),
inference(definitional_conversion,[status(esa)],[f_2165_2]) ).
cnf(f_2165_4,plain,
m2_finseq_1(k14_finseq_1(U_5630),k5_numbers),
inference(clausify,[status(thm)],[f_2165_3]) ).
fof(f_2166_1,plain,
! [A] :
( ( v1_funct_1(k15_finseq_1(A))
& v1_relat_1(k15_finseq_1(A)) )
| ~ v2_finseq_1(A)
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k15_finseq_1]) ).
fof(f_2166_2,plain,
! [U_5631] :
( ( v1_funct_1(k15_finseq_1(U_5631))
& v1_relat_1(k15_finseq_1(U_5631)) )
| ~ v2_finseq_1(U_5631)
| ~ v1_funct_1(U_5631)
| ~ v1_relat_1(U_5631) ),
inference(variable_rename,[status(thm)],[f_2166_1]) ).
fof(f_2166_3,plain,
( ! [U_5631] :
( v1_funct_1(k15_finseq_1(U_5631))
| ~ sP1026(U_5631) )
& ! [U_5631] :
( v1_relat_1(k15_finseq_1(U_5631))
| ~ sP1026(U_5631) )
& ! [U_5631] :
( sP1026(U_5631)
| ~ v2_finseq_1(U_5631)
| ~ v1_funct_1(U_5631)
| ~ v1_relat_1(U_5631) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1026])],[f_2166_2]) ).
cnf(f_2166_4,plain,
( sP1026(U_5631)
| ~ v2_finseq_1(U_5631)
| ~ v1_funct_1(U_5631)
| ~ v1_relat_1(U_5631) ),
inference(clausify,[status(thm)],[f_2166_3]) ).
cnf(f_2166_5,plain,
( v1_relat_1(k15_finseq_1(U_5631))
| ~ sP1026(U_5631) ),
inference(clausify,[status(thm)],[f_2166_3]) ).
cnf(f_2166_6,plain,
( v1_funct_1(k15_finseq_1(U_5631))
| ~ sP1026(U_5631) ),
inference(clausify,[status(thm)],[f_2166_3]) ).
fof(f_2167_1,plain,
! [A,B,C] :
( m2_finseq_1(k16_finseq_1(A,B,C),A)
| ~ v4_ordinal2(C)
| ~ m1_finseq_1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_k16_finseq_1]) ).
fof(f_2167_2,plain,
! [U_5634,U_5633,U_5632] :
( m2_finseq_1(k16_finseq_1(U_5634,U_5633,U_5632),U_5634)
| ~ v4_ordinal2(U_5632)
| ~ m1_finseq_1(U_5633,U_5634) ),
inference(variable_rename,[status(thm)],[f_2167_1]) ).
fof(f_2167_3,plain,
! [U_5633,U_5632,U_5634] :
( m2_finseq_1(k16_finseq_1(U_5634,U_5633,U_5632),U_5634)
| ~ v4_ordinal2(U_5632)
| ~ m1_finseq_1(U_5633,U_5634) ),
inference(definitional_conversion,[status(esa)],[f_2167_2]) ).
cnf(f_2167_4,plain,
( m2_finseq_1(k16_finseq_1(U_5634,U_5633,U_5632),U_5634)
| ~ v4_ordinal2(U_5632)
| ~ m1_finseq_1(U_5633,U_5634) ),
inference(clausify,[status(thm)],[f_2167_3]) ).
fof(f_2168_1,plain,
! [A] :
( v1_relat_1(k17_finseq_1(A))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k17_finseq_1]) ).
fof(f_2168_2,plain,
! [U_5635] :
( v1_relat_1(k17_finseq_1(U_5635))
| ~ v1_relat_1(U_5635) ),
inference(variable_rename,[status(thm)],[f_2168_1]) ).
fof(f_2168_3,plain,
! [U_5635] :
( v1_relat_1(k17_finseq_1(U_5635))
| ~ v1_relat_1(U_5635) ),
inference(definitional_conversion,[status(esa)],[f_2168_2]) ).
cnf(f_2168_4,plain,
( v1_relat_1(k17_finseq_1(U_5635))
| ~ v1_relat_1(U_5635) ),
inference(clausify,[status(thm)],[f_2168_3]) ).
fof(f_2169_1,plain,
! [A] :
( k1_finseq_1(A) = a_1_0_finseq_1(A)
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[d1_finseq_1]) ).
fof(f_2169_2,plain,
! [U_5636] :
( k1_finseq_1(U_5636) = a_1_0_finseq_1(U_5636)
| ~ v4_ordinal2(U_5636) ),
inference(variable_rename,[status(thm)],[f_2169_1]) ).
fof(f_2169_3,plain,
! [U_5636] :
( k1_finseq_1(U_5636) = a_1_0_finseq_1(U_5636)
| ~ v4_ordinal2(U_5636) ),
inference(definitional_conversion,[status(esa)],[f_2169_2]) ).
cnf(f_2169_4,plain,
( k1_finseq_1(U_5636) = a_1_0_finseq_1(U_5636)
| ~ v4_ordinal2(U_5636) ),
inference(clausify,[status(thm)],[f_2169_3]) ).
fof(f_2170_1,plain,
! [A,B] :
( ( ( r2_hidden(A,a_1_0_finseq_1(B))
| ! [C] :
( ~ r1_xreal_0(C,B)
| ~ r1_xreal_0(np__1,C)
| A != C
| ~ m2_subset_1(C,k1_numbers,k5_numbers) ) )
& ( ? [C] :
( r1_xreal_0(C,B)
& r1_xreal_0(np__1,C)
& A = C
& m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ r2_hidden(A,a_1_0_finseq_1(B)) ) )
| ~ v4_ordinal2(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_1_0_finseq_1]) ).
fof(f_2170_2,plain,
! [U_5640,U_5639] :
( ( ( r2_hidden(U_5640,a_1_0_finseq_1(U_5639))
| ! [U_5638] :
( ~ r1_xreal_0(U_5638,U_5639)
| ~ r1_xreal_0(np__1,U_5638)
| U_5640 != U_5638
| ~ m2_subset_1(U_5638,k1_numbers,k5_numbers) ) )
& ( ? [U_5637] :
( r1_xreal_0(U_5637,U_5639)
& r1_xreal_0(np__1,U_5637)
& U_5640 = U_5637
& m2_subset_1(U_5637,k1_numbers,k5_numbers) )
| ~ r2_hidden(U_5640,a_1_0_finseq_1(U_5639)) ) )
| ~ v4_ordinal2(U_5639) ),
inference(variable_rename,[status(thm)],[f_2170_1]) ).
fof(f_2170_3,plain,
! [U_5640,U_5639] :
( ( ( r2_hidden(U_5640,a_1_0_finseq_1(U_5639))
| ! [U_5638] :
( ~ r1_xreal_0(U_5638,U_5639)
| ~ r1_xreal_0(np__1,U_5638)
| U_5640 != U_5638
| ~ m2_subset_1(U_5638,k1_numbers,k5_numbers) ) )
& ( ( r1_xreal_0(sK703(U_5640,U_5639),U_5639)
& r1_xreal_0(np__1,sK703(U_5640,U_5639))
& U_5640 = sK703(U_5640,U_5639)
& m2_subset_1(sK703(U_5640,U_5639),k1_numbers,k5_numbers) )
| ~ r2_hidden(U_5640,a_1_0_finseq_1(U_5639)) ) )
| ~ v4_ordinal2(U_5639) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK703]),skolemize(U_5637,sK703(U_5640,U_5639))],[f_2170_2]) ).
fof(f_2170_4,plain,
( ! [U_5639,U_5640] :
( r1_xreal_0(sK703(U_5640,U_5639),U_5639)
| ~ sP1027(U_5639,U_5640) )
& ! [U_5639,U_5640] :
( r1_xreal_0(np__1,sK703(U_5640,U_5639))
| ~ sP1027(U_5639,U_5640) )
& ! [U_5639,U_5640] :
( U_5640 = sK703(U_5640,U_5639)
| ~ sP1027(U_5639,U_5640) )
& ! [U_5639,U_5640] :
( m2_subset_1(sK703(U_5640,U_5639),k1_numbers,k5_numbers)
| ~ sP1027(U_5639,U_5640) )
& ! [U_5638,U_5639,U_5640] :
( r2_hidden(U_5640,a_1_0_finseq_1(U_5639))
| ~ r1_xreal_0(U_5638,U_5639)
| ~ r1_xreal_0(np__1,U_5638)
| U_5640 != U_5638
| ~ m2_subset_1(U_5638,k1_numbers,k5_numbers)
| ~ sP1028(U_5638,U_5639,U_5640) )
& ! [U_5638,U_5639,U_5640] :
( sP1027(U_5639,U_5640)
| ~ r2_hidden(U_5640,a_1_0_finseq_1(U_5639))
| ~ sP1028(U_5638,U_5639,U_5640) )
& ! [U_5638,U_5639,U_5640] :
( sP1028(U_5638,U_5639,U_5640)
| ~ v4_ordinal2(U_5639) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1027,sP1028])],[f_2170_3]) ).
cnf(f_2170_5,plain,
( sP1028(U_5638,U_5639,U_5640)
| ~ v4_ordinal2(U_5639) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
cnf(f_2170_6,plain,
( sP1027(U_5639,U_5640)
| ~ r2_hidden(U_5640,a_1_0_finseq_1(U_5639))
| ~ sP1028(U_5638,U_5639,U_5640) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
cnf(f_2170_7,plain,
( r2_hidden(U_5640,a_1_0_finseq_1(U_5639))
| ~ r1_xreal_0(U_5638,U_5639)
| ~ r1_xreal_0(np__1,U_5638)
| U_5640 != U_5638
| ~ m2_subset_1(U_5638,k1_numbers,k5_numbers)
| ~ sP1028(U_5638,U_5639,U_5640) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
cnf(f_2170_8,plain,
( m2_subset_1(sK703(U_5640,U_5639),k1_numbers,k5_numbers)
| ~ sP1027(U_5639,U_5640) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
cnf(f_2170_9,plain,
( U_5640 = sK703(U_5640,U_5639)
| ~ sP1027(U_5639,U_5640) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
cnf(f_2170_10,plain,
( r1_xreal_0(np__1,sK703(U_5640,U_5639))
| ~ sP1027(U_5639,U_5640) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
cnf(f_2170_11,plain,
( r1_xreal_0(sK703(U_5640,U_5639),U_5639)
| ~ sP1027(U_5639,U_5640) ),
inference(clausify,[status(thm)],[f_2170_4]) ).
fof(f_2171_1,plain,
? [A] :
( v1_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_struct_0]) ).
fof(f_2171_2,plain,
? [U_5641] :
( v1_struct_0(U_5641)
& l1_struct_0(U_5641) ),
inference(variable_rename,[status(thm)],[f_2171_1]) ).
fof(f_2171_3,plain,
( v1_struct_0(sK704)
& l1_struct_0(sK704) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK704]),skolemize(U_5641,sK704)],[f_2171_2]) ).
fof(f_2171_4,plain,
( v1_struct_0(sK704)
& l1_struct_0(sK704) ),
inference(definitional_conversion,[status(esa)],[f_2171_3]) ).
cnf(f_2171_5,plain,
l1_struct_0(sK704),
inference(clausify,[status(thm)],[f_2171_4]) ).
cnf(f_2171_6,plain,
v1_struct_0(sK704),
inference(clausify,[status(thm)],[f_2171_4]) ).
fof(f_2172_1,plain,
? [A] :
( v2_struct_0(A)
& l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_struct_0]) ).
fof(f_2172_2,plain,
? [U_5642] :
( v2_struct_0(U_5642)
& l2_struct_0(U_5642) ),
inference(variable_rename,[status(thm)],[f_2172_1]) ).
fof(f_2172_3,plain,
( v2_struct_0(sK705)
& l2_struct_0(sK705) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK705]),skolemize(U_5642,sK705)],[f_2172_2]) ).
fof(f_2172_4,plain,
( v2_struct_0(sK705)
& l2_struct_0(sK705) ),
inference(definitional_conversion,[status(esa)],[f_2172_3]) ).
cnf(f_2172_5,plain,
l2_struct_0(sK705),
inference(clausify,[status(thm)],[f_2172_4]) ).
cnf(f_2172_6,plain,
v2_struct_0(sK705),
inference(clausify,[status(thm)],[f_2172_4]) ).
fof(f_2173_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_2173_2,plain,
? [U_5643] :
( ~ v3_struct_0(U_5643)
& l1_struct_0(U_5643) ),
inference(variable_rename,[status(thm)],[f_2173_1]) ).
fof(f_2173_3,plain,
( ~ v3_struct_0(sK706)
& l1_struct_0(sK706) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK706]),skolemize(U_5643,sK706)],[f_2173_2]) ).
fof(f_2173_4,plain,
( ~ v3_struct_0(sK706)
& l1_struct_0(sK706) ),
inference(definitional_conversion,[status(esa)],[f_2173_3]) ).
cnf(f_2173_5,plain,
l1_struct_0(sK706),
inference(clausify,[status(thm)],[f_2173_4]) ).
cnf(f_2173_6,plain,
~ v3_struct_0(sK706),
inference(clausify,[status(thm)],[f_2173_4]) ).
fof(f_2174_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_struct_0]) ).
fof(f_2174_2,plain,
? [U_5644] :
( ~ v3_struct_0(U_5644)
& l2_struct_0(U_5644) ),
inference(variable_rename,[status(thm)],[f_2174_1]) ).
fof(f_2174_3,plain,
( ~ v3_struct_0(sK707)
& l2_struct_0(sK707) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK707]),skolemize(U_5644,sK707)],[f_2174_2]) ).
fof(f_2174_4,plain,
( ~ v3_struct_0(sK707)
& l2_struct_0(sK707) ),
inference(definitional_conversion,[status(esa)],[f_2174_3]) ).
cnf(f_2174_5,plain,
l2_struct_0(sK707),
inference(clausify,[status(thm)],[f_2174_4]) ).
cnf(f_2174_6,plain,
~ v3_struct_0(sK707),
inference(clausify,[status(thm)],[f_2174_4]) ).
fof(f_2175_1,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_struct_0]) ).
fof(f_2175_2,plain,
! [U_5645] :
( ~ v1_xboole_0(u1_struct_0(U_5645))
| ~ l1_struct_0(U_5645)
| v3_struct_0(U_5645) ),
inference(variable_rename,[status(thm)],[f_2175_1]) ).
fof(f_2175_3,plain,
! [U_5645] :
( ~ v1_xboole_0(u1_struct_0(U_5645))
| ~ l1_struct_0(U_5645)
| v3_struct_0(U_5645) ),
inference(definitional_conversion,[status(esa)],[f_2175_2]) ).
cnf(f_2175_4,plain,
( ~ v1_xboole_0(u1_struct_0(U_5645))
| ~ l1_struct_0(U_5645)
| v3_struct_0(U_5645) ),
inference(clausify,[status(thm)],[f_2175_3]) ).
fof(f_2176_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc5_struct_0]) ).
fof(f_2176_2,plain,
! [U_5647] :
( ? [U_5646] :
( ~ v1_xboole_0(U_5646)
& m1_subset_1(U_5646,k1_zfmisc_1(u1_struct_0(U_5647))) )
| ~ l1_struct_0(U_5647)
| v3_struct_0(U_5647) ),
inference(variable_rename,[status(thm)],[f_2176_1]) ).
fof(f_2176_3,plain,
! [U_5647] :
( ( ~ v1_xboole_0(sK708(U_5647))
& m1_subset_1(sK708(U_5647),k1_zfmisc_1(u1_struct_0(U_5647))) )
| ~ l1_struct_0(U_5647)
| v3_struct_0(U_5647) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK708]),skolemize(U_5646,sK708(U_5647))],[f_2176_2]) ).
fof(f_2176_4,plain,
( ! [U_5647] :
( ~ v1_xboole_0(sK708(U_5647))
| ~ sP1029(U_5647) )
& ! [U_5647] :
( m1_subset_1(sK708(U_5647),k1_zfmisc_1(u1_struct_0(U_5647)))
| ~ sP1029(U_5647) )
& ! [U_5647] :
( sP1029(U_5647)
| ~ l1_struct_0(U_5647)
| v3_struct_0(U_5647) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1029])],[f_2176_3]) ).
cnf(f_2176_5,plain,
( sP1029(U_5647)
| ~ l1_struct_0(U_5647)
| v3_struct_0(U_5647) ),
inference(clausify,[status(thm)],[f_2176_4]) ).
cnf(f_2176_6,plain,
( m1_subset_1(sK708(U_5647),k1_zfmisc_1(u1_struct_0(U_5647)))
| ~ sP1029(U_5647) ),
inference(clausify,[status(thm)],[f_2176_4]) ).
cnf(f_2176_7,plain,
( ~ v1_xboole_0(sK708(U_5647))
| ~ sP1029(U_5647) ),
inference(clausify,[status(thm)],[f_2176_4]) ).
fof(f_2177_1,plain,
! [A] :
( ( ( v3_struct_0(A)
| ~ v1_xboole_0(u1_struct_0(A)) )
& ( v1_xboole_0(u1_struct_0(A))
| ~ v3_struct_0(A) ) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_struct_0]) ).
fof(f_2177_2,plain,
! [U_5648] :
( ( ( v3_struct_0(U_5648)
| ~ v1_xboole_0(u1_struct_0(U_5648)) )
& ( v1_xboole_0(u1_struct_0(U_5648))
| ~ v3_struct_0(U_5648) ) )
| ~ l1_struct_0(U_5648) ),
inference(variable_rename,[status(thm)],[f_2177_1]) ).
fof(f_2177_3,plain,
( ! [U_5648] :
( v3_struct_0(U_5648)
| ~ v1_xboole_0(u1_struct_0(U_5648))
| ~ sP1030(U_5648) )
& ! [U_5648] :
( v1_xboole_0(u1_struct_0(U_5648))
| ~ v3_struct_0(U_5648)
| ~ sP1030(U_5648) )
& ! [U_5648] :
( sP1030(U_5648)
| ~ l1_struct_0(U_5648) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1030])],[f_2177_2]) ).
cnf(f_2177_4,plain,
( sP1030(U_5648)
| ~ l1_struct_0(U_5648) ),
inference(clausify,[status(thm)],[f_2177_3]) ).
cnf(f_2177_5,plain,
( v1_xboole_0(u1_struct_0(U_5648))
| ~ v3_struct_0(U_5648)
| ~ sP1030(U_5648) ),
inference(clausify,[status(thm)],[f_2177_3]) ).
cnf(f_2177_6,plain,
( v3_struct_0(U_5648)
| ~ v1_xboole_0(u1_struct_0(U_5648))
| ~ sP1030(U_5648) ),
inference(clausify,[status(thm)],[f_2177_3]) ).
fof(f_2178_1,plain,
! [A,B] :
( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
| ~ m1_struct_0(C,A,B) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v1_xboole_0(B)
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_struct_0]) ).
fof(f_2178_2,plain,
! [U_5651,U_5650] :
( ! [U_5649] :
( m1_subset_1(U_5649,u1_struct_0(U_5651))
| ~ m1_struct_0(U_5649,U_5651,U_5650) )
| ~ m1_subset_1(U_5650,k1_zfmisc_1(u1_struct_0(U_5651)))
| v1_xboole_0(U_5650)
| ~ l1_struct_0(U_5651)
| v3_struct_0(U_5651) ),
inference(variable_rename,[status(thm)],[f_2178_1]) ).
fof(f_2178_3,plain,
! [U_5651,U_5650,U_5649] :
( m1_subset_1(U_5649,u1_struct_0(U_5651))
| ~ m1_struct_0(U_5649,U_5651,U_5650)
| ~ m1_subset_1(U_5650,k1_zfmisc_1(u1_struct_0(U_5651)))
| v1_xboole_0(U_5650)
| ~ l1_struct_0(U_5651)
| v3_struct_0(U_5651) ),
inference(definitional_conversion,[status(esa)],[f_2178_2]) ).
cnf(f_2178_4,plain,
( m1_subset_1(U_5649,u1_struct_0(U_5651))
| ~ m1_struct_0(U_5649,U_5651,U_5650)
| ~ m1_subset_1(U_5650,k1_zfmisc_1(u1_struct_0(U_5651)))
| v1_xboole_0(U_5650)
| ~ l1_struct_0(U_5651)
| v3_struct_0(U_5651) ),
inference(clausify,[status(thm)],[f_2178_3]) ).
fof(f_2179_1,plain,
! [A,B] :
( ? [C] : m1_struct_0(C,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v1_xboole_0(B)
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_struct_0]) ).
fof(f_2179_2,plain,
! [U_5654,U_5653] :
( ? [U_5652] : m1_struct_0(U_5652,U_5654,U_5653)
| ~ m1_subset_1(U_5653,k1_zfmisc_1(u1_struct_0(U_5654)))
| v1_xboole_0(U_5653)
| ~ l1_struct_0(U_5654)
| v3_struct_0(U_5654) ),
inference(variable_rename,[status(thm)],[f_2179_1]) ).
fof(f_2179_3,plain,
! [U_5654,U_5653] :
( m1_struct_0(sK709(U_5654,U_5653),U_5654,U_5653)
| ~ m1_subset_1(U_5653,k1_zfmisc_1(u1_struct_0(U_5654)))
| v1_xboole_0(U_5653)
| ~ l1_struct_0(U_5654)
| v3_struct_0(U_5654) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK709]),skolemize(U_5652,sK709(U_5654,U_5653))],[f_2179_2]) ).
fof(f_2179_4,plain,
! [U_5653,U_5654] :
( m1_struct_0(sK709(U_5654,U_5653),U_5654,U_5653)
| ~ m1_subset_1(U_5653,k1_zfmisc_1(u1_struct_0(U_5654)))
| v1_xboole_0(U_5653)
| ~ l1_struct_0(U_5654)
| v3_struct_0(U_5654) ),
inference(definitional_conversion,[status(esa)],[f_2179_3]) ).
cnf(f_2179_5,plain,
( m1_struct_0(sK709(U_5654,U_5653),U_5654,U_5653)
| ~ m1_subset_1(U_5653,k1_zfmisc_1(u1_struct_0(U_5654)))
| v1_xboole_0(U_5653)
| ~ l1_struct_0(U_5654)
| v3_struct_0(U_5654) ),
inference(clausify,[status(thm)],[f_2179_4]) ).
fof(f_2180_1,plain,
! [A,B] :
( ! [C] :
( ( m1_struct_0(C,A,B)
| ~ m1_subset_1(C,B) )
& ( m1_subset_1(C,B)
| ~ m1_struct_0(C,A,B) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v1_xboole_0(B)
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_m1_struct_0]) ).
fof(f_2180_2,plain,
! [U_5657,U_5656] :
( ! [U_5655] :
( ( m1_struct_0(U_5655,U_5657,U_5656)
| ~ m1_subset_1(U_5655,U_5656) )
& ( m1_subset_1(U_5655,U_5656)
| ~ m1_struct_0(U_5655,U_5657,U_5656) ) )
| ~ m1_subset_1(U_5656,k1_zfmisc_1(u1_struct_0(U_5657)))
| v1_xboole_0(U_5656)
| ~ l1_struct_0(U_5657)
| v3_struct_0(U_5657) ),
inference(variable_rename,[status(thm)],[f_2180_1]) ).
fof(f_2180_3,plain,
! [U_5657,U_5656] :
( ( ! [U_5659] :
( m1_struct_0(U_5659,U_5657,U_5656)
| ~ m1_subset_1(U_5659,U_5656) )
& ! [U_5658] :
( m1_subset_1(U_5658,U_5656)
| ~ m1_struct_0(U_5658,U_5657,U_5656) ) )
| ~ m1_subset_1(U_5656,k1_zfmisc_1(u1_struct_0(U_5657)))
| v1_xboole_0(U_5656)
| ~ l1_struct_0(U_5657)
| v3_struct_0(U_5657) ),
inference(miniscope,[status(thm)],[f_2180_2]) ).
fof(f_2180_4,plain,
( ! [U_5658,U_5659,U_5656,U_5657] :
( m1_struct_0(U_5659,U_5657,U_5656)
| ~ m1_subset_1(U_5659,U_5656)
| ~ sP1031(U_5658,U_5659,U_5656,U_5657) )
& ! [U_5658,U_5659,U_5656,U_5657] :
( m1_subset_1(U_5658,U_5656)
| ~ m1_struct_0(U_5658,U_5657,U_5656)
| ~ sP1031(U_5658,U_5659,U_5656,U_5657) )
& ! [U_5658,U_5659,U_5656,U_5657] :
( sP1031(U_5658,U_5659,U_5656,U_5657)
| ~ m1_subset_1(U_5656,k1_zfmisc_1(u1_struct_0(U_5657)))
| v1_xboole_0(U_5656)
| ~ l1_struct_0(U_5657)
| v3_struct_0(U_5657) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1031])],[f_2180_3]) ).
cnf(f_2180_5,plain,
( sP1031(U_5658,U_5659,U_5656,U_5657)
| ~ m1_subset_1(U_5656,k1_zfmisc_1(u1_struct_0(U_5657)))
| v1_xboole_0(U_5656)
| ~ l1_struct_0(U_5657)
| v3_struct_0(U_5657) ),
inference(clausify,[status(thm)],[f_2180_4]) ).
cnf(f_2180_6,plain,
( m1_subset_1(U_5658,U_5656)
| ~ m1_struct_0(U_5658,U_5657,U_5656)
| ~ sP1031(U_5658,U_5659,U_5656,U_5657) ),
inference(clausify,[status(thm)],[f_2180_4]) ).
cnf(f_2180_7,plain,
( m1_struct_0(U_5659,U_5657,U_5656)
| ~ m1_subset_1(U_5659,U_5656)
| ~ sP1031(U_5658,U_5659,U_5656,U_5657) ),
inference(clausify,[status(thm)],[f_2180_4]) ).
fof(f_2181_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
fof(f_2181_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2181_1]) ).
cnf(f_2181_3,plain,
$true,
inference(clausify,[status(thm)],[f_2181_2]) ).
fof(f_2182_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_2182_2,plain,
? [U_5660] : l1_struct_0(U_5660),
inference(variable_rename,[status(thm)],[f_2182_1]) ).
fof(f_2182_3,plain,
l1_struct_0(sK710),
inference(skolemize,[status(esa),new_symbols(skolem,[sK710]),skolemize(U_5660,sK710)],[f_2182_2]) ).
fof(f_2182_4,plain,
l1_struct_0(sK710),
inference(definitional_conversion,[status(esa)],[f_2182_3]) ).
cnf(f_2182_5,plain,
l1_struct_0(sK710),
inference(clausify,[status(thm)],[f_2182_4]) ).
fof(f_2183_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_struct_0]) ).
fof(f_2183_2,plain,
! [U_5661] :
( l1_struct_0(U_5661)
| ~ l2_struct_0(U_5661) ),
inference(variable_rename,[status(thm)],[f_2183_1]) ).
fof(f_2183_3,plain,
! [U_5661] :
( l1_struct_0(U_5661)
| ~ l2_struct_0(U_5661) ),
inference(definitional_conversion,[status(esa)],[f_2183_2]) ).
cnf(f_2183_4,plain,
( l1_struct_0(U_5661)
| ~ l2_struct_0(U_5661) ),
inference(clausify,[status(thm)],[f_2183_3]) ).
fof(f_2184_1,plain,
? [A] : l2_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l2_struct_0]) ).
fof(f_2184_2,plain,
? [U_5662] : l2_struct_0(U_5662),
inference(variable_rename,[status(thm)],[f_2184_1]) ).
fof(f_2184_3,plain,
l2_struct_0(sK711),
inference(skolemize,[status(esa),new_symbols(skolem,[sK711]),skolemize(U_5662,sK711)],[f_2184_2]) ).
fof(f_2184_4,plain,
l2_struct_0(sK711),
inference(definitional_conversion,[status(esa)],[f_2184_3]) ).
cnf(f_2184_5,plain,
l2_struct_0(sK711),
inference(clausify,[status(thm)],[f_2184_4]) ).
fof(f_2185_1,plain,
! [A] :
( A = g1_struct_0(u1_struct_0(A))
| ~ v1_struct_0(A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v1_struct_0]) ).
fof(f_2185_2,plain,
! [U_5663] :
( U_5663 = g1_struct_0(u1_struct_0(U_5663))
| ~ v1_struct_0(U_5663)
| ~ l1_struct_0(U_5663) ),
inference(variable_rename,[status(thm)],[f_2185_1]) ).
fof(f_2185_3,plain,
! [U_5663] :
( U_5663 = g1_struct_0(u1_struct_0(U_5663))
| ~ v1_struct_0(U_5663)
| ~ l1_struct_0(U_5663) ),
inference(definitional_conversion,[status(esa)],[f_2185_2]) ).
cnf(f_2185_4,plain,
( U_5663 = g1_struct_0(u1_struct_0(U_5663))
| ~ v1_struct_0(U_5663)
| ~ l1_struct_0(U_5663) ),
inference(clausify,[status(thm)],[f_2185_3]) ).
fof(f_2186_1,plain,
! [A] :
( A = g2_struct_0(u1_struct_0(A),u2_struct_0(A))
| ~ v2_struct_0(A)
| ~ l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v2_struct_0]) ).
fof(f_2186_2,plain,
! [U_5664] :
( U_5664 = g2_struct_0(u1_struct_0(U_5664),u2_struct_0(U_5664))
| ~ v2_struct_0(U_5664)
| ~ l2_struct_0(U_5664) ),
inference(variable_rename,[status(thm)],[f_2186_1]) ).
fof(f_2186_3,plain,
! [U_5664] :
( U_5664 = g2_struct_0(u1_struct_0(U_5664),u2_struct_0(U_5664))
| ~ v2_struct_0(U_5664)
| ~ l2_struct_0(U_5664) ),
inference(definitional_conversion,[status(esa)],[f_2186_2]) ).
cnf(f_2186_4,plain,
( U_5664 = g2_struct_0(u1_struct_0(U_5664),u2_struct_0(U_5664))
| ~ v2_struct_0(U_5664)
| ~ l2_struct_0(U_5664) ),
inference(clausify,[status(thm)],[f_2186_3]) ).
fof(f_2187_1,plain,
! [A,B] :
( m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_struct_0]) ).
fof(f_2187_2,plain,
! [U_5666,U_5665] :
( m1_subset_1(k1_struct_0(U_5666,U_5665),k1_zfmisc_1(u1_struct_0(U_5666)))
| ~ m1_subset_1(U_5665,u1_struct_0(U_5666))
| ~ l1_struct_0(U_5666)
| v3_struct_0(U_5666) ),
inference(variable_rename,[status(thm)],[f_2187_1]) ).
fof(f_2187_3,plain,
! [U_5666,U_5665] :
( m1_subset_1(k1_struct_0(U_5666,U_5665),k1_zfmisc_1(u1_struct_0(U_5666)))
| ~ m1_subset_1(U_5665,u1_struct_0(U_5666))
| ~ l1_struct_0(U_5666)
| v3_struct_0(U_5666) ),
inference(definitional_conversion,[status(esa)],[f_2187_2]) ).
cnf(f_2187_4,plain,
( m1_subset_1(k1_struct_0(U_5666,U_5665),k1_zfmisc_1(u1_struct_0(U_5666)))
| ~ m1_subset_1(U_5665,u1_struct_0(U_5666))
| ~ l1_struct_0(U_5666)
| v3_struct_0(U_5666) ),
inference(clausify,[status(thm)],[f_2187_3]) ).
fof(f_2188_1,plain,
! [A,B] :
( k1_struct_0(A,B) = k1_tarski(B)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k1_struct_0]) ).
fof(f_2188_2,plain,
! [U_5668,U_5667] :
( k1_struct_0(U_5668,U_5667) = k1_tarski(U_5667)
| ~ m1_subset_1(U_5667,u1_struct_0(U_5668))
| ~ l1_struct_0(U_5668)
| v3_struct_0(U_5668) ),
inference(variable_rename,[status(thm)],[f_2188_1]) ).
fof(f_2188_3,plain,
! [U_5667,U_5668] :
( k1_struct_0(U_5668,U_5667) = k1_tarski(U_5667)
| ~ m1_subset_1(U_5667,u1_struct_0(U_5668))
| ~ l1_struct_0(U_5668)
| v3_struct_0(U_5668) ),
inference(definitional_conversion,[status(esa)],[f_2188_2]) ).
cnf(f_2188_4,plain,
( k1_struct_0(U_5668,U_5667) = k1_tarski(U_5667)
| ~ m1_subset_1(U_5667,u1_struct_0(U_5668))
| ~ l1_struct_0(U_5668)
| v3_struct_0(U_5668) ),
inference(clausify,[status(thm)],[f_2188_3]) ).
fof(f_2189_1,plain,
! [A,B,C] :
( m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_struct_0]) ).
fof(f_2189_2,plain,
! [U_5671,U_5670,U_5669] :
( m1_subset_1(k2_struct_0(U_5671,U_5670,U_5669),k1_zfmisc_1(u1_struct_0(U_5671)))
| ~ m1_subset_1(U_5669,u1_struct_0(U_5671))
| ~ m1_subset_1(U_5670,u1_struct_0(U_5671))
| ~ l1_struct_0(U_5671)
| v3_struct_0(U_5671) ),
inference(variable_rename,[status(thm)],[f_2189_1]) ).
fof(f_2189_3,plain,
! [U_5669,U_5671,U_5670] :
( m1_subset_1(k2_struct_0(U_5671,U_5670,U_5669),k1_zfmisc_1(u1_struct_0(U_5671)))
| ~ m1_subset_1(U_5669,u1_struct_0(U_5671))
| ~ m1_subset_1(U_5670,u1_struct_0(U_5671))
| ~ l1_struct_0(U_5671)
| v3_struct_0(U_5671) ),
inference(definitional_conversion,[status(esa)],[f_2189_2]) ).
cnf(f_2189_4,plain,
( m1_subset_1(k2_struct_0(U_5671,U_5670,U_5669),k1_zfmisc_1(u1_struct_0(U_5671)))
| ~ m1_subset_1(U_5669,u1_struct_0(U_5671))
| ~ m1_subset_1(U_5670,u1_struct_0(U_5671))
| ~ l1_struct_0(U_5671)
| v3_struct_0(U_5671) ),
inference(clausify,[status(thm)],[f_2189_3]) ).
fof(f_2190_1,plain,
! [A,B,C] :
( k2_struct_0(A,B,C) = k2_struct_0(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k2_struct_0]) ).
fof(f_2190_2,plain,
! [U_5674,U_5673,U_5672] :
( k2_struct_0(U_5674,U_5673,U_5672) = k2_struct_0(U_5674,U_5672,U_5673)
| ~ m1_subset_1(U_5672,u1_struct_0(U_5674))
| ~ m1_subset_1(U_5673,u1_struct_0(U_5674))
| ~ l1_struct_0(U_5674)
| v3_struct_0(U_5674) ),
inference(variable_rename,[status(thm)],[f_2190_1]) ).
fof(f_2190_3,plain,
! [U_5673,U_5672,U_5674] :
( k2_struct_0(U_5674,U_5673,U_5672) = k2_struct_0(U_5674,U_5672,U_5673)
| ~ m1_subset_1(U_5672,u1_struct_0(U_5674))
| ~ m1_subset_1(U_5673,u1_struct_0(U_5674))
| ~ l1_struct_0(U_5674)
| v3_struct_0(U_5674) ),
inference(definitional_conversion,[status(esa)],[f_2190_2]) ).
cnf(f_2190_4,plain,
( k2_struct_0(U_5674,U_5673,U_5672) = k2_struct_0(U_5674,U_5672,U_5673)
| ~ m1_subset_1(U_5672,u1_struct_0(U_5674))
| ~ m1_subset_1(U_5673,u1_struct_0(U_5674))
| ~ l1_struct_0(U_5674)
| v3_struct_0(U_5674) ),
inference(clausify,[status(thm)],[f_2190_3]) ).
fof(f_2191_1,plain,
! [A,B,C] :
( k2_struct_0(A,B,C) = k2_tarski(B,C)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k2_struct_0]) ).
fof(f_2191_2,plain,
! [U_5677,U_5676,U_5675] :
( k2_struct_0(U_5677,U_5676,U_5675) = k2_tarski(U_5676,U_5675)
| ~ m1_subset_1(U_5675,u1_struct_0(U_5677))
| ~ m1_subset_1(U_5676,u1_struct_0(U_5677))
| ~ l1_struct_0(U_5677)
| v3_struct_0(U_5677) ),
inference(variable_rename,[status(thm)],[f_2191_1]) ).
fof(f_2191_3,plain,
! [U_5676,U_5675,U_5677] :
( k2_struct_0(U_5677,U_5676,U_5675) = k2_tarski(U_5676,U_5675)
| ~ m1_subset_1(U_5675,u1_struct_0(U_5677))
| ~ m1_subset_1(U_5676,u1_struct_0(U_5677))
| ~ l1_struct_0(U_5677)
| v3_struct_0(U_5677) ),
inference(definitional_conversion,[status(esa)],[f_2191_2]) ).
cnf(f_2191_4,plain,
( k2_struct_0(U_5677,U_5676,U_5675) = k2_tarski(U_5676,U_5675)
| ~ m1_subset_1(U_5675,u1_struct_0(U_5677))
| ~ m1_subset_1(U_5676,u1_struct_0(U_5677))
| ~ l1_struct_0(U_5677)
| v3_struct_0(U_5677) ),
inference(clausify,[status(thm)],[f_2191_3]) ).
fof(f_2192_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
fof(f_2192_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2192_1]) ).
cnf(f_2192_3,plain,
$true,
inference(clausify,[status(thm)],[f_2192_2]) ).
fof(f_2193_1,plain,
! [A] :
( m1_subset_1(u2_struct_0(A),u1_struct_0(A))
| ~ l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_struct_0]) ).
fof(f_2193_2,plain,
! [U_5678] :
( m1_subset_1(u2_struct_0(U_5678),u1_struct_0(U_5678))
| ~ l2_struct_0(U_5678) ),
inference(variable_rename,[status(thm)],[f_2193_1]) ).
fof(f_2193_3,plain,
! [U_5678] :
( m1_subset_1(u2_struct_0(U_5678),u1_struct_0(U_5678))
| ~ l2_struct_0(U_5678) ),
inference(definitional_conversion,[status(esa)],[f_2193_2]) ).
cnf(f_2193_4,plain,
( m1_subset_1(u2_struct_0(U_5678),u1_struct_0(U_5678))
| ~ l2_struct_0(U_5678) ),
inference(clausify,[status(thm)],[f_2193_3]) ).
fof(f_2194_1,plain,
! [A] :
( l1_struct_0(g1_struct_0(A))
& v1_struct_0(g1_struct_0(A)) ),
inference(fof_nnf,[status(thm)],[dt_g1_struct_0]) ).
fof(f_2194_2,plain,
! [U_5679] :
( l1_struct_0(g1_struct_0(U_5679))
& v1_struct_0(g1_struct_0(U_5679)) ),
inference(variable_rename,[status(thm)],[f_2194_1]) ).
fof(f_2194_3,plain,
( ! [U_5681] : l1_struct_0(g1_struct_0(U_5681))
& ! [U_5680] : v1_struct_0(g1_struct_0(U_5680)) ),
inference(miniscope,[status(thm)],[f_2194_2]) ).
fof(f_2194_4,plain,
( ! [U_5681] : l1_struct_0(g1_struct_0(U_5681))
& ! [U_5680] : v1_struct_0(g1_struct_0(U_5680)) ),
inference(definitional_conversion,[status(esa)],[f_2194_3]) ).
cnf(f_2194_5,plain,
v1_struct_0(g1_struct_0(U_5680)),
inference(clausify,[status(thm)],[f_2194_4]) ).
cnf(f_2194_6,plain,
l1_struct_0(g1_struct_0(U_5681)),
inference(clausify,[status(thm)],[f_2194_4]) ).
fof(f_2195_1,plain,
! [A,B] :
( A = B
| g1_struct_0(A) != g1_struct_0(B) ),
inference(fof_nnf,[status(thm)],[free_g1_struct_0]) ).
fof(f_2195_2,plain,
! [U_5683,U_5682] :
( U_5683 = U_5682
| g1_struct_0(U_5683) != g1_struct_0(U_5682) ),
inference(variable_rename,[status(thm)],[f_2195_1]) ).
fof(f_2195_3,plain,
! [U_5682,U_5683] :
( U_5683 = U_5682
| g1_struct_0(U_5683) != g1_struct_0(U_5682) ),
inference(definitional_conversion,[status(esa)],[f_2195_2]) ).
cnf(f_2195_4,plain,
( U_5683 = U_5682
| g1_struct_0(U_5683) != g1_struct_0(U_5682) ),
inference(clausify,[status(thm)],[f_2195_3]) ).
fof(f_2196_1,plain,
! [A,B] :
( ( l2_struct_0(g2_struct_0(A,B))
& v2_struct_0(g2_struct_0(A,B)) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_g2_struct_0]) ).
fof(f_2196_2,plain,
! [U_5685,U_5684] :
( ( l2_struct_0(g2_struct_0(U_5685,U_5684))
& v2_struct_0(g2_struct_0(U_5685,U_5684)) )
| ~ m1_subset_1(U_5684,U_5685) ),
inference(variable_rename,[status(thm)],[f_2196_1]) ).
fof(f_2196_3,plain,
( ! [U_5684,U_5685] :
( l2_struct_0(g2_struct_0(U_5685,U_5684))
| ~ sP1032(U_5684,U_5685) )
& ! [U_5684,U_5685] :
( v2_struct_0(g2_struct_0(U_5685,U_5684))
| ~ sP1032(U_5684,U_5685) )
& ! [U_5684,U_5685] :
( sP1032(U_5684,U_5685)
| ~ m1_subset_1(U_5684,U_5685) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1032])],[f_2196_2]) ).
cnf(f_2196_4,plain,
( sP1032(U_5684,U_5685)
| ~ m1_subset_1(U_5684,U_5685) ),
inference(clausify,[status(thm)],[f_2196_3]) ).
cnf(f_2196_5,plain,
( v2_struct_0(g2_struct_0(U_5685,U_5684))
| ~ sP1032(U_5684,U_5685) ),
inference(clausify,[status(thm)],[f_2196_3]) ).
cnf(f_2196_6,plain,
( l2_struct_0(g2_struct_0(U_5685,U_5684))
| ~ sP1032(U_5684,U_5685) ),
inference(clausify,[status(thm)],[f_2196_3]) ).
fof(f_2197_1,plain,
! [A,B] :
( ! [C,D] :
( ( B = D
& A = C )
| g2_struct_0(A,B) != g2_struct_0(C,D) )
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[free_g2_struct_0]) ).
fof(f_2197_2,plain,
! [U_5689,U_5688] :
( ! [U_5687,U_5686] :
( ( U_5688 = U_5686
& U_5689 = U_5687 )
| g2_struct_0(U_5689,U_5688) != g2_struct_0(U_5687,U_5686) )
| ~ m1_subset_1(U_5688,U_5689) ),
inference(variable_rename,[status(thm)],[f_2197_1]) ).
fof(f_2197_3,plain,
( ! [U_5688,U_5689,U_5687,U_5686] :
( U_5688 = U_5686
| ~ sP1033(U_5688,U_5689,U_5687,U_5686) )
& ! [U_5688,U_5689,U_5687,U_5686] :
( U_5689 = U_5687
| ~ sP1033(U_5688,U_5689,U_5687,U_5686) )
& ! [U_5688,U_5689,U_5687,U_5686] :
( sP1033(U_5688,U_5689,U_5687,U_5686)
| g2_struct_0(U_5689,U_5688) != g2_struct_0(U_5687,U_5686)
| ~ m1_subset_1(U_5688,U_5689) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1033])],[f_2197_2]) ).
cnf(f_2197_4,plain,
( sP1033(U_5688,U_5689,U_5687,U_5686)
| g2_struct_0(U_5689,U_5688) != g2_struct_0(U_5687,U_5686)
| ~ m1_subset_1(U_5688,U_5689) ),
inference(clausify,[status(thm)],[f_2197_3]) ).
cnf(f_2197_5,plain,
( U_5689 = U_5687
| ~ sP1033(U_5688,U_5689,U_5687,U_5686) ),
inference(clausify,[status(thm)],[f_2197_3]) ).
cnf(f_2197_6,plain,
( U_5688 = U_5686
| ~ sP1033(U_5688,U_5689,U_5687,U_5686) ),
inference(clausify,[status(thm)],[f_2197_3]) ).
fof(f_2198_1,plain,
? [A] :
( v1_rlvect_1(A)
& l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_rlvect_1]) ).
fof(f_2198_2,plain,
? [U_5690] :
( v1_rlvect_1(U_5690)
& l1_rlvect_1(U_5690) ),
inference(variable_rename,[status(thm)],[f_2198_1]) ).
fof(f_2198_3,plain,
( v1_rlvect_1(sK712)
& l1_rlvect_1(sK712) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK712]),skolemize(U_5690,sK712)],[f_2198_2]) ).
fof(f_2198_4,plain,
( v1_rlvect_1(sK712)
& l1_rlvect_1(sK712) ),
inference(definitional_conversion,[status(esa)],[f_2198_3]) ).
cnf(f_2198_5,plain,
l1_rlvect_1(sK712),
inference(clausify,[status(thm)],[f_2198_4]) ).
cnf(f_2198_6,plain,
v1_rlvect_1(sK712),
inference(clausify,[status(thm)],[f_2198_4]) ).
fof(f_2199_1,plain,
? [A] :
( v2_rlvect_1(A)
& l2_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_rlvect_1]) ).
fof(f_2199_2,plain,
? [U_5691] :
( v2_rlvect_1(U_5691)
& l2_rlvect_1(U_5691) ),
inference(variable_rename,[status(thm)],[f_2199_1]) ).
fof(f_2199_3,plain,
( v2_rlvect_1(sK713)
& l2_rlvect_1(sK713) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK713]),skolemize(U_5691,sK713)],[f_2199_2]) ).
fof(f_2199_4,plain,
( v2_rlvect_1(sK713)
& l2_rlvect_1(sK713) ),
inference(definitional_conversion,[status(esa)],[f_2199_3]) ).
cnf(f_2199_5,plain,
l2_rlvect_1(sK713),
inference(clausify,[status(thm)],[f_2199_4]) ).
cnf(f_2199_6,plain,
v2_rlvect_1(sK713),
inference(clausify,[status(thm)],[f_2199_4]) ).
fof(f_2200_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l2_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_rlvect_1]) ).
fof(f_2200_2,plain,
? [U_5692] :
( ~ v3_struct_0(U_5692)
& l2_rlvect_1(U_5692) ),
inference(variable_rename,[status(thm)],[f_2200_1]) ).
fof(f_2200_3,plain,
( ~ v3_struct_0(sK714)
& l2_rlvect_1(sK714) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK714]),skolemize(U_5692,sK714)],[f_2200_2]) ).
fof(f_2200_4,plain,
( ~ v3_struct_0(sK714)
& l2_rlvect_1(sK714) ),
inference(definitional_conversion,[status(esa)],[f_2200_3]) ).
cnf(f_2200_5,plain,
l2_rlvect_1(sK714),
inference(clausify,[status(thm)],[f_2200_4]) ).
cnf(f_2200_6,plain,
~ v3_struct_0(sK714),
inference(clausify,[status(thm)],[f_2200_4]) ).
fof(f_2201_1,plain,
? [A] :
( v1_rlvect_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc4_rlvect_1]) ).
fof(f_2201_2,plain,
? [U_5693] :
( v1_rlvect_1(U_5693)
& ~ v3_struct_0(U_5693)
& l1_rlvect_1(U_5693) ),
inference(variable_rename,[status(thm)],[f_2201_1]) ).
fof(f_2201_3,plain,
( v1_rlvect_1(sK715)
& ~ v3_struct_0(sK715)
& l1_rlvect_1(sK715) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK715]),skolemize(U_5693,sK715)],[f_2201_2]) ).
fof(f_2201_4,plain,
( v1_rlvect_1(sK715)
& ~ v3_struct_0(sK715)
& l1_rlvect_1(sK715) ),
inference(definitional_conversion,[status(esa)],[f_2201_3]) ).
cnf(f_2201_5,plain,
l1_rlvect_1(sK715),
inference(clausify,[status(thm)],[f_2201_4]) ).
cnf(f_2201_6,plain,
~ v3_struct_0(sK715),
inference(clausify,[status(thm)],[f_2201_4]) ).
cnf(f_2201_7,plain,
v1_rlvect_1(sK715),
inference(clausify,[status(thm)],[f_2201_4]) ).
fof(f_2202_1,plain,
! [A,B,C,D] :
( ( v2_rlvect_1(g2_rlvect_1(A,B,C,D))
& ~ v3_struct_0(g2_rlvect_1(A,B,C,D)) )
| ~ m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
| ~ v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A)
| ~ v1_funct_1(D)
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_subset_1(B,A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_rlvect_1]) ).
fof(f_2202_2,plain,
! [U_5697,U_5696,U_5695,U_5694] :
( ( v2_rlvect_1(g2_rlvect_1(U_5697,U_5696,U_5695,U_5694))
& ~ v3_struct_0(g2_rlvect_1(U_5697,U_5696,U_5695,U_5694)) )
| ~ m1_relset_1(U_5694,k2_zfmisc_1(k1_numbers,U_5697),U_5697)
| ~ v1_funct_2(U_5694,k2_zfmisc_1(k1_numbers,U_5697),U_5697)
| ~ v1_funct_1(U_5694)
| ~ m1_relset_1(U_5695,k2_zfmisc_1(U_5697,U_5697),U_5697)
| ~ v1_funct_2(U_5695,k2_zfmisc_1(U_5697,U_5697),U_5697)
| ~ v1_funct_1(U_5695)
| ~ m1_subset_1(U_5696,U_5697)
| v1_xboole_0(U_5697) ),
inference(variable_rename,[status(thm)],[f_2202_1]) ).
fof(f_2202_3,plain,
( ! [U_5694,U_5696,U_5695,U_5697] :
( v2_rlvect_1(g2_rlvect_1(U_5697,U_5696,U_5695,U_5694))
| ~ sP1034(U_5694,U_5696,U_5695,U_5697) )
& ! [U_5694,U_5696,U_5695,U_5697] :
( ~ v3_struct_0(g2_rlvect_1(U_5697,U_5696,U_5695,U_5694))
| ~ sP1034(U_5694,U_5696,U_5695,U_5697) )
& ! [U_5694,U_5696,U_5695,U_5697] :
( sP1034(U_5694,U_5696,U_5695,U_5697)
| ~ m1_relset_1(U_5694,k2_zfmisc_1(k1_numbers,U_5697),U_5697)
| ~ v1_funct_2(U_5694,k2_zfmisc_1(k1_numbers,U_5697),U_5697)
| ~ v1_funct_1(U_5694)
| ~ m1_relset_1(U_5695,k2_zfmisc_1(U_5697,U_5697),U_5697)
| ~ v1_funct_2(U_5695,k2_zfmisc_1(U_5697,U_5697),U_5697)
| ~ v1_funct_1(U_5695)
| ~ m1_subset_1(U_5696,U_5697)
| v1_xboole_0(U_5697) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1034])],[f_2202_2]) ).
cnf(f_2202_4,plain,
( sP1034(U_5694,U_5696,U_5695,U_5697)
| ~ m1_relset_1(U_5694,k2_zfmisc_1(k1_numbers,U_5697),U_5697)
| ~ v1_funct_2(U_5694,k2_zfmisc_1(k1_numbers,U_5697),U_5697)
| ~ v1_funct_1(U_5694)
| ~ m1_relset_1(U_5695,k2_zfmisc_1(U_5697,U_5697),U_5697)
| ~ v1_funct_2(U_5695,k2_zfmisc_1(U_5697,U_5697),U_5697)
| ~ v1_funct_1(U_5695)
| ~ m1_subset_1(U_5696,U_5697)
| v1_xboole_0(U_5697) ),
inference(clausify,[status(thm)],[f_2202_3]) ).
cnf(f_2202_5,plain,
( ~ v3_struct_0(g2_rlvect_1(U_5697,U_5696,U_5695,U_5694))
| ~ sP1034(U_5694,U_5696,U_5695,U_5697) ),
inference(clausify,[status(thm)],[f_2202_3]) ).
cnf(f_2202_6,plain,
( v2_rlvect_1(g2_rlvect_1(U_5697,U_5696,U_5695,U_5694))
| ~ sP1034(U_5694,U_5696,U_5695,U_5697) ),
inference(clausify,[status(thm)],[f_2202_3]) ).
fof(f_2203_1,plain,
? [A] :
( v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v1_rlvect_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_rlvect_1]) ).
fof(f_2203_2,plain,
? [U_5698] :
( v6_rlvect_1(U_5698)
& v5_rlvect_1(U_5698)
& v4_rlvect_1(U_5698)
& v3_rlvect_1(U_5698)
& v1_rlvect_1(U_5698)
& ~ v3_struct_0(U_5698)
& l1_rlvect_1(U_5698) ),
inference(variable_rename,[status(thm)],[f_2203_1]) ).
fof(f_2203_3,plain,
( v6_rlvect_1(sK716)
& v5_rlvect_1(sK716)
& v4_rlvect_1(sK716)
& v3_rlvect_1(sK716)
& v1_rlvect_1(sK716)
& ~ v3_struct_0(sK716)
& l1_rlvect_1(sK716) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK716]),skolemize(U_5698,sK716)],[f_2203_2]) ).
fof(f_2203_4,plain,
( v6_rlvect_1(sK716)
& v5_rlvect_1(sK716)
& v4_rlvect_1(sK716)
& v3_rlvect_1(sK716)
& v1_rlvect_1(sK716)
& ~ v3_struct_0(sK716)
& l1_rlvect_1(sK716) ),
inference(definitional_conversion,[status(esa)],[f_2203_3]) ).
cnf(f_2203_5,plain,
l1_rlvect_1(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
cnf(f_2203_6,plain,
~ v3_struct_0(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
cnf(f_2203_7,plain,
v1_rlvect_1(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
cnf(f_2203_8,plain,
v3_rlvect_1(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
cnf(f_2203_9,plain,
v4_rlvect_1(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
cnf(f_2203_10,plain,
v5_rlvect_1(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
cnf(f_2203_11,plain,
v6_rlvect_1(sK716),
inference(clausify,[status(thm)],[f_2203_4]) ).
fof(f_2204_1,plain,
? [A] :
( v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v2_rlvect_1(A)
& ~ v3_struct_0(A)
& l2_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc6_rlvect_1]) ).
fof(f_2204_2,plain,
? [U_5699] :
( v7_rlvect_1(U_5699)
& v6_rlvect_1(U_5699)
& v5_rlvect_1(U_5699)
& v4_rlvect_1(U_5699)
& v3_rlvect_1(U_5699)
& v2_rlvect_1(U_5699)
& ~ v3_struct_0(U_5699)
& l2_rlvect_1(U_5699) ),
inference(variable_rename,[status(thm)],[f_2204_1]) ).
fof(f_2204_3,plain,
( v7_rlvect_1(sK717)
& v6_rlvect_1(sK717)
& v5_rlvect_1(sK717)
& v4_rlvect_1(sK717)
& v3_rlvect_1(sK717)
& v2_rlvect_1(sK717)
& ~ v3_struct_0(sK717)
& l2_rlvect_1(sK717) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK717]),skolemize(U_5699,sK717)],[f_2204_2]) ).
fof(f_2204_4,plain,
( v7_rlvect_1(sK717)
& v6_rlvect_1(sK717)
& v5_rlvect_1(sK717)
& v4_rlvect_1(sK717)
& v3_rlvect_1(sK717)
& v2_rlvect_1(sK717)
& ~ v3_struct_0(sK717)
& l2_rlvect_1(sK717) ),
inference(definitional_conversion,[status(esa)],[f_2204_3]) ).
cnf(f_2204_5,plain,
l2_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_6,plain,
~ v3_struct_0(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_7,plain,
v2_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_8,plain,
v3_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_9,plain,
v4_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_10,plain,
v5_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_11,plain,
v6_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
cnf(f_2204_12,plain,
v7_rlvect_1(sK717),
inference(clausify,[status(thm)],[f_2204_4]) ).
fof(f_2205_1,plain,
! [A] :
( ! [B] :
( ( r1_rlvect_1(A,B)
| ~ r2_hidden(B,u1_struct_0(A)) )
& ( r2_hidden(B,u1_struct_0(A))
| ~ r1_rlvect_1(A,B) ) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rlvect_1]) ).
fof(f_2205_2,plain,
! [U_5701] :
( ! [U_5700] :
( ( r1_rlvect_1(U_5701,U_5700)
| ~ r2_hidden(U_5700,u1_struct_0(U_5701)) )
& ( r2_hidden(U_5700,u1_struct_0(U_5701))
| ~ r1_rlvect_1(U_5701,U_5700) ) )
| ~ l1_struct_0(U_5701) ),
inference(variable_rename,[status(thm)],[f_2205_1]) ).
fof(f_2205_3,plain,
! [U_5701] :
( ( ! [U_5703] :
( r1_rlvect_1(U_5701,U_5703)
| ~ r2_hidden(U_5703,u1_struct_0(U_5701)) )
& ! [U_5702] :
( r2_hidden(U_5702,u1_struct_0(U_5701))
| ~ r1_rlvect_1(U_5701,U_5702) ) )
| ~ l1_struct_0(U_5701) ),
inference(miniscope,[status(thm)],[f_2205_2]) ).
fof(f_2205_4,plain,
( ! [U_5701,U_5702,U_5703] :
( r1_rlvect_1(U_5701,U_5703)
| ~ r2_hidden(U_5703,u1_struct_0(U_5701))
| ~ sP1035(U_5701,U_5702,U_5703) )
& ! [U_5701,U_5702,U_5703] :
( r2_hidden(U_5702,u1_struct_0(U_5701))
| ~ r1_rlvect_1(U_5701,U_5702)
| ~ sP1035(U_5701,U_5702,U_5703) )
& ! [U_5701,U_5702,U_5703] :
( sP1035(U_5701,U_5702,U_5703)
| ~ l1_struct_0(U_5701) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1035])],[f_2205_3]) ).
cnf(f_2205_5,plain,
( sP1035(U_5701,U_5702,U_5703)
| ~ l1_struct_0(U_5701) ),
inference(clausify,[status(thm)],[f_2205_4]) ).
cnf(f_2205_6,plain,
( r2_hidden(U_5702,u1_struct_0(U_5701))
| ~ r1_rlvect_1(U_5701,U_5702)
| ~ sP1035(U_5701,U_5702,U_5703) ),
inference(clausify,[status(thm)],[f_2205_4]) ).
cnf(f_2205_7,plain,
( r1_rlvect_1(U_5701,U_5703)
| ~ r2_hidden(U_5703,u1_struct_0(U_5701))
| ~ sP1035(U_5701,U_5702,U_5703) ),
inference(clausify,[status(thm)],[f_2205_4]) ).
fof(f_2206_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_rlvect_1]) ).
fof(f_2206_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2206_1]) ).
cnf(f_2206_3,plain,
$true,
inference(clausify,[status(thm)],[f_2206_2]) ).
fof(f_2207_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_rlvect_1]) ).
fof(f_2207_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2207_1]) ).
cnf(f_2207_3,plain,
$true,
inference(clausify,[status(thm)],[f_2207_2]) ).
fof(f_2208_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t3_rlvect_1]) ).
fof(f_2208_2,plain,
! [U_5705] :
( ! [U_5704] :
( r1_rlvect_1(U_5705,U_5704)
| ~ m1_subset_1(U_5704,u1_struct_0(U_5705)) )
| ~ l1_struct_0(U_5705)
| v3_struct_0(U_5705) ),
inference(variable_rename,[status(thm)],[f_2208_1]) ).
fof(f_2208_3,plain,
! [U_5705,U_5704] :
( r1_rlvect_1(U_5705,U_5704)
| ~ m1_subset_1(U_5704,u1_struct_0(U_5705))
| ~ l1_struct_0(U_5705)
| v3_struct_0(U_5705) ),
inference(definitional_conversion,[status(esa)],[f_2208_2]) ).
cnf(f_2208_4,plain,
( r1_rlvect_1(U_5705,U_5704)
| ~ m1_subset_1(U_5704,u1_struct_0(U_5705))
| ~ l1_struct_0(U_5705)
| v3_struct_0(U_5705) ),
inference(clausify,[status(thm)],[f_2208_3]) ).
fof(f_2209_1,plain,
! [A] :
( k1_rlvect_1(A) = u2_struct_0(A)
| ~ l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_rlvect_1]) ).
fof(f_2209_2,plain,
! [U_5706] :
( k1_rlvect_1(U_5706) = u2_struct_0(U_5706)
| ~ l2_struct_0(U_5706) ),
inference(variable_rename,[status(thm)],[f_2209_1]) ).
fof(f_2209_3,plain,
! [U_5706] :
( k1_rlvect_1(U_5706) = u2_struct_0(U_5706)
| ~ l2_struct_0(U_5706) ),
inference(definitional_conversion,[status(esa)],[f_2209_2]) ).
cnf(f_2209_4,plain,
( k1_rlvect_1(U_5706) = u2_struct_0(U_5706)
| ~ l2_struct_0(U_5706) ),
inference(clausify,[status(thm)],[f_2209_3]) ).
fof(f_2210_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d3_rlvect_1]) ).
fof(f_2210_2,plain,
! [U_5709] :
( ! [U_5708] :
( ! [U_5707] :
( k2_rlvect_1(U_5709,U_5708,U_5707) = k8_funct_2(k2_zfmisc_1(u1_struct_0(U_5709),u1_struct_0(U_5709)),u1_struct_0(U_5709),u1_rlvect_1(U_5709),k1_domain_1(u1_struct_0(U_5709),u1_struct_0(U_5709),U_5708,U_5707))
| ~ m1_subset_1(U_5707,u1_struct_0(U_5709)) )
| ~ m1_subset_1(U_5708,u1_struct_0(U_5709)) )
| ~ l1_rlvect_1(U_5709)
| v3_struct_0(U_5709) ),
inference(variable_rename,[status(thm)],[f_2210_1]) ).
fof(f_2210_3,plain,
! [U_5709,U_5708,U_5707] :
( k2_rlvect_1(U_5709,U_5708,U_5707) = k8_funct_2(k2_zfmisc_1(u1_struct_0(U_5709),u1_struct_0(U_5709)),u1_struct_0(U_5709),u1_rlvect_1(U_5709),k1_domain_1(u1_struct_0(U_5709),u1_struct_0(U_5709),U_5708,U_5707))
| ~ m1_subset_1(U_5707,u1_struct_0(U_5709))
| ~ m1_subset_1(U_5708,u1_struct_0(U_5709))
| ~ l1_rlvect_1(U_5709)
| v3_struct_0(U_5709) ),
inference(definitional_conversion,[status(esa)],[f_2210_2]) ).
cnf(f_2210_4,plain,
( k2_rlvect_1(U_5709,U_5708,U_5707) = k8_funct_2(k2_zfmisc_1(u1_struct_0(U_5709),u1_struct_0(U_5709)),u1_struct_0(U_5709),u1_rlvect_1(U_5709),k1_domain_1(u1_struct_0(U_5709),u1_struct_0(U_5709),U_5708,U_5707))
| ~ m1_subset_1(U_5707,u1_struct_0(U_5709))
| ~ m1_subset_1(U_5708,u1_struct_0(U_5709))
| ~ l1_rlvect_1(U_5709)
| v3_struct_0(U_5709) ),
inference(clausify,[status(thm)],[f_2210_3]) ).
fof(f_2211_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k1_domain_1(k1_numbers,u1_struct_0(A),C,B))
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_rlvect_1]) ).
fof(f_2211_2,plain,
! [U_5712] :
( ! [U_5711] :
( ! [U_5710] :
( k3_rlvect_1(U_5712,U_5711,U_5710) = k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(U_5712)),u1_struct_0(U_5712),u2_rlvect_1(U_5712),k1_domain_1(k1_numbers,u1_struct_0(U_5712),U_5710,U_5711))
| ~ m1_subset_1(U_5710,k1_numbers) )
| ~ m1_subset_1(U_5711,u1_struct_0(U_5712)) )
| ~ l2_rlvect_1(U_5712)
| v3_struct_0(U_5712) ),
inference(variable_rename,[status(thm)],[f_2211_1]) ).
fof(f_2211_3,plain,
! [U_5711,U_5712,U_5710] :
( k3_rlvect_1(U_5712,U_5711,U_5710) = k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(U_5712)),u1_struct_0(U_5712),u2_rlvect_1(U_5712),k1_domain_1(k1_numbers,u1_struct_0(U_5712),U_5710,U_5711))
| ~ m1_subset_1(U_5710,k1_numbers)
| ~ m1_subset_1(U_5711,u1_struct_0(U_5712))
| ~ l2_rlvect_1(U_5712)
| v3_struct_0(U_5712) ),
inference(definitional_conversion,[status(esa)],[f_2211_2]) ).
cnf(f_2211_4,plain,
( k3_rlvect_1(U_5712,U_5711,U_5710) = k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(U_5712)),u1_struct_0(U_5712),u2_rlvect_1(U_5712),k1_domain_1(k1_numbers,u1_struct_0(U_5712),U_5710,U_5711))
| ~ m1_subset_1(U_5710,k1_numbers)
| ~ m1_subset_1(U_5711,u1_struct_0(U_5712))
| ~ l2_rlvect_1(U_5712)
| v3_struct_0(U_5712) ),
inference(clausify,[status(thm)],[f_2211_3]) ).
fof(f_2212_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_rlvect_1]) ).
fof(f_2212_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2212_1]) ).
cnf(f_2212_3,plain,
$true,
inference(clausify,[status(thm)],[f_2212_2]) ).
fof(f_2213_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_rlvect_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_rlvect_1(A),B,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rlvect_1]) ).
fof(f_2213_2,plain,
! [U_5715] :
( ! [U_5714] :
( ! [U_5713] :
( k2_rlvect_1(U_5715,U_5714,U_5713) = k2_binop_1(u1_struct_0(U_5715),u1_struct_0(U_5715),u1_struct_0(U_5715),u1_rlvect_1(U_5715),U_5714,U_5713)
| ~ m1_subset_1(U_5713,u1_struct_0(U_5715)) )
| ~ m1_subset_1(U_5714,u1_struct_0(U_5715)) )
| ~ l1_rlvect_1(U_5715)
| v3_struct_0(U_5715) ),
inference(variable_rename,[status(thm)],[f_2213_1]) ).
fof(f_2213_3,plain,
! [U_5714,U_5715,U_5713] :
( k2_rlvect_1(U_5715,U_5714,U_5713) = k2_binop_1(u1_struct_0(U_5715),u1_struct_0(U_5715),u1_struct_0(U_5715),u1_rlvect_1(U_5715),U_5714,U_5713)
| ~ m1_subset_1(U_5713,u1_struct_0(U_5715))
| ~ m1_subset_1(U_5714,u1_struct_0(U_5715))
| ~ l1_rlvect_1(U_5715)
| v3_struct_0(U_5715) ),
inference(definitional_conversion,[status(esa)],[f_2213_2]) ).
cnf(f_2213_4,plain,
( k2_rlvect_1(U_5715,U_5714,U_5713) = k2_binop_1(u1_struct_0(U_5715),u1_struct_0(U_5715),u1_struct_0(U_5715),u1_rlvect_1(U_5715),U_5714,U_5713)
| ~ m1_subset_1(U_5713,u1_struct_0(U_5715))
| ~ m1_subset_1(U_5714,u1_struct_0(U_5715))
| ~ l1_rlvect_1(U_5715)
| v3_struct_0(U_5715) ),
inference(clausify,[status(thm)],[f_2213_3]) ).
fof(f_2214_1,plain,
! [A] :
( ( ( v3_rlvect_1(A)
| ? [B] :
( ? [C] :
( k2_rlvect_1(A,B,C) != k2_rlvect_1(A,C,B)
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v3_rlvect_1(A) ) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_rlvect_1]) ).
fof(f_2214_2,plain,
! [U_5720] :
( ( ( v3_rlvect_1(U_5720)
| ? [U_5719] :
( ? [U_5718] :
( k2_rlvect_1(U_5720,U_5719,U_5718) != k2_rlvect_1(U_5720,U_5718,U_5719)
& m1_subset_1(U_5718,u1_struct_0(U_5720)) )
& m1_subset_1(U_5719,u1_struct_0(U_5720)) ) )
& ( ! [U_5717] :
( ! [U_5716] :
( k2_rlvect_1(U_5720,U_5717,U_5716) = k2_rlvect_1(U_5720,U_5716,U_5717)
| ~ m1_subset_1(U_5716,u1_struct_0(U_5720)) )
| ~ m1_subset_1(U_5717,u1_struct_0(U_5720)) )
| ~ v3_rlvect_1(U_5720) ) )
| ~ l1_rlvect_1(U_5720)
| v3_struct_0(U_5720) ),
inference(variable_rename,[status(thm)],[f_2214_1]) ).
fof(f_2214_3,plain,
! [U_5720] :
( ( ( v3_rlvect_1(U_5720)
| ( ? [U_5718] :
( k2_rlvect_1(U_5720,sK718(U_5720),U_5718) != k2_rlvect_1(U_5720,U_5718,sK718(U_5720))
& m1_subset_1(U_5718,u1_struct_0(U_5720)) )
& m1_subset_1(sK718(U_5720),u1_struct_0(U_5720)) ) )
& ( ! [U_5717] :
( ! [U_5716] :
( k2_rlvect_1(U_5720,U_5717,U_5716) = k2_rlvect_1(U_5720,U_5716,U_5717)
| ~ m1_subset_1(U_5716,u1_struct_0(U_5720)) )
| ~ m1_subset_1(U_5717,u1_struct_0(U_5720)) )
| ~ v3_rlvect_1(U_5720) ) )
| ~ l1_rlvect_1(U_5720)
| v3_struct_0(U_5720) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK718]),skolemize(U_5719,sK718(U_5720))],[f_2214_2]) ).
fof(f_2214_4,plain,
! [U_5720] :
( ( ( v3_rlvect_1(U_5720)
| ( k2_rlvect_1(U_5720,sK718(U_5720),sK719(U_5720)) != k2_rlvect_1(U_5720,sK719(U_5720),sK718(U_5720))
& m1_subset_1(sK719(U_5720),u1_struct_0(U_5720))
& m1_subset_1(sK718(U_5720),u1_struct_0(U_5720)) ) )
& ( ! [U_5717] :
( ! [U_5716] :
( k2_rlvect_1(U_5720,U_5717,U_5716) = k2_rlvect_1(U_5720,U_5716,U_5717)
| ~ m1_subset_1(U_5716,u1_struct_0(U_5720)) )
| ~ m1_subset_1(U_5717,u1_struct_0(U_5720)) )
| ~ v3_rlvect_1(U_5720) ) )
| ~ l1_rlvect_1(U_5720)
| v3_struct_0(U_5720) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK719]),skolemize(U_5718,sK719(U_5720))],[f_2214_3]) ).
fof(f_2214_5,plain,
( ! [U_5720] :
( k2_rlvect_1(U_5720,sK718(U_5720),sK719(U_5720)) != k2_rlvect_1(U_5720,sK719(U_5720),sK718(U_5720))
| ~ sP1036(U_5720) )
& ! [U_5720] :
( m1_subset_1(sK719(U_5720),u1_struct_0(U_5720))
| ~ sP1036(U_5720) )
& ! [U_5720] :
( m1_subset_1(sK718(U_5720),u1_struct_0(U_5720))
| ~ sP1036(U_5720) )
& ! [U_5716,U_5720,U_5717] :
( v3_rlvect_1(U_5720)
| sP1036(U_5720)
| ~ sP1037(U_5716,U_5720,U_5717) )
& ! [U_5716,U_5720,U_5717] :
( k2_rlvect_1(U_5720,U_5717,U_5716) = k2_rlvect_1(U_5720,U_5716,U_5717)
| ~ m1_subset_1(U_5716,u1_struct_0(U_5720))
| ~ m1_subset_1(U_5717,u1_struct_0(U_5720))
| ~ v3_rlvect_1(U_5720)
| ~ sP1037(U_5716,U_5720,U_5717) )
& ! [U_5716,U_5720,U_5717] :
( sP1037(U_5716,U_5720,U_5717)
| ~ l1_rlvect_1(U_5720)
| v3_struct_0(U_5720) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1036,sP1037])],[f_2214_4]) ).
cnf(f_2214_6,plain,
( sP1037(U_5716,U_5720,U_5717)
| ~ l1_rlvect_1(U_5720)
| v3_struct_0(U_5720) ),
inference(clausify,[status(thm)],[f_2214_5]) ).
cnf(f_2214_7,plain,
( k2_rlvect_1(U_5720,U_5717,U_5716) = k2_rlvect_1(U_5720,U_5716,U_5717)
| ~ m1_subset_1(U_5716,u1_struct_0(U_5720))
| ~ m1_subset_1(U_5717,u1_struct_0(U_5720))
| ~ v3_rlvect_1(U_5720)
| ~ sP1037(U_5716,U_5720,U_5717) ),
inference(clausify,[status(thm)],[f_2214_5]) ).
cnf(f_2214_8,plain,
( v3_rlvect_1(U_5720)
| sP1036(U_5720)
| ~ sP1037(U_5716,U_5720,U_5717) ),
inference(clausify,[status(thm)],[f_2214_5]) ).
cnf(f_2214_9,plain,
( m1_subset_1(sK718(U_5720),u1_struct_0(U_5720))
| ~ sP1036(U_5720) ),
inference(clausify,[status(thm)],[f_2214_5]) ).
cnf(f_2214_10,plain,
( m1_subset_1(sK719(U_5720),u1_struct_0(U_5720))
| ~ sP1036(U_5720) ),
inference(clausify,[status(thm)],[f_2214_5]) ).
cnf(f_2214_11,plain,
( k2_rlvect_1(U_5720,sK718(U_5720),sK719(U_5720)) != k2_rlvect_1(U_5720,sK719(U_5720),sK718(U_5720))
| ~ sP1036(U_5720) ),
inference(clausify,[status(thm)],[f_2214_5]) ).
fof(f_2215_1,plain,
! [A] :
( ( ( v4_rlvect_1(A)
| ? [B] :
( ? [C] :
( ? [D] :
( k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) != k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( ! [D] :
( k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v4_rlvect_1(A) ) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_rlvect_1]) ).
fof(f_2215_2,plain,
! [U_5727] :
( ( ( v4_rlvect_1(U_5727)
| ? [U_5726] :
( ? [U_5725] :
( ? [U_5724] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5726,U_5725),U_5724) != k2_rlvect_1(U_5727,U_5726,k2_rlvect_1(U_5727,U_5725,U_5724))
& m1_subset_1(U_5724,u1_struct_0(U_5727)) )
& m1_subset_1(U_5725,u1_struct_0(U_5727)) )
& m1_subset_1(U_5726,u1_struct_0(U_5727)) ) )
& ( ! [U_5723] :
( ! [U_5722] :
( ! [U_5721] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5723,U_5722),U_5721) = k2_rlvect_1(U_5727,U_5723,k2_rlvect_1(U_5727,U_5722,U_5721))
| ~ m1_subset_1(U_5721,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5722,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5723,u1_struct_0(U_5727)) )
| ~ v4_rlvect_1(U_5727) ) )
| ~ l1_rlvect_1(U_5727)
| v3_struct_0(U_5727) ),
inference(variable_rename,[status(thm)],[f_2215_1]) ).
fof(f_2215_3,plain,
! [U_5727] :
( ( ( v4_rlvect_1(U_5727)
| ( ? [U_5725] :
( ? [U_5724] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,sK720(U_5727),U_5725),U_5724) != k2_rlvect_1(U_5727,sK720(U_5727),k2_rlvect_1(U_5727,U_5725,U_5724))
& m1_subset_1(U_5724,u1_struct_0(U_5727)) )
& m1_subset_1(U_5725,u1_struct_0(U_5727)) )
& m1_subset_1(sK720(U_5727),u1_struct_0(U_5727)) ) )
& ( ! [U_5723] :
( ! [U_5722] :
( ! [U_5721] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5723,U_5722),U_5721) = k2_rlvect_1(U_5727,U_5723,k2_rlvect_1(U_5727,U_5722,U_5721))
| ~ m1_subset_1(U_5721,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5722,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5723,u1_struct_0(U_5727)) )
| ~ v4_rlvect_1(U_5727) ) )
| ~ l1_rlvect_1(U_5727)
| v3_struct_0(U_5727) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK720]),skolemize(U_5726,sK720(U_5727))],[f_2215_2]) ).
fof(f_2215_4,plain,
! [U_5727] :
( ( ( v4_rlvect_1(U_5727)
| ( ? [U_5724] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,sK720(U_5727),sK721(U_5727)),U_5724) != k2_rlvect_1(U_5727,sK720(U_5727),k2_rlvect_1(U_5727,sK721(U_5727),U_5724))
& m1_subset_1(U_5724,u1_struct_0(U_5727)) )
& m1_subset_1(sK721(U_5727),u1_struct_0(U_5727))
& m1_subset_1(sK720(U_5727),u1_struct_0(U_5727)) ) )
& ( ! [U_5723] :
( ! [U_5722] :
( ! [U_5721] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5723,U_5722),U_5721) = k2_rlvect_1(U_5727,U_5723,k2_rlvect_1(U_5727,U_5722,U_5721))
| ~ m1_subset_1(U_5721,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5722,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5723,u1_struct_0(U_5727)) )
| ~ v4_rlvect_1(U_5727) ) )
| ~ l1_rlvect_1(U_5727)
| v3_struct_0(U_5727) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK721]),skolemize(U_5725,sK721(U_5727))],[f_2215_3]) ).
fof(f_2215_5,plain,
! [U_5727] :
( ( ( v4_rlvect_1(U_5727)
| ( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,sK720(U_5727),sK721(U_5727)),sK722(U_5727)) != k2_rlvect_1(U_5727,sK720(U_5727),k2_rlvect_1(U_5727,sK721(U_5727),sK722(U_5727)))
& m1_subset_1(sK722(U_5727),u1_struct_0(U_5727))
& m1_subset_1(sK721(U_5727),u1_struct_0(U_5727))
& m1_subset_1(sK720(U_5727),u1_struct_0(U_5727)) ) )
& ( ! [U_5723] :
( ! [U_5722] :
( ! [U_5721] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5723,U_5722),U_5721) = k2_rlvect_1(U_5727,U_5723,k2_rlvect_1(U_5727,U_5722,U_5721))
| ~ m1_subset_1(U_5721,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5722,u1_struct_0(U_5727)) )
| ~ m1_subset_1(U_5723,u1_struct_0(U_5727)) )
| ~ v4_rlvect_1(U_5727) ) )
| ~ l1_rlvect_1(U_5727)
| v3_struct_0(U_5727) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK722]),skolemize(U_5724,sK722(U_5727))],[f_2215_4]) ).
fof(f_2215_6,plain,
( ! [U_5727] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,sK720(U_5727),sK721(U_5727)),sK722(U_5727)) != k2_rlvect_1(U_5727,sK720(U_5727),k2_rlvect_1(U_5727,sK721(U_5727),sK722(U_5727)))
| ~ sP1038(U_5727) )
& ! [U_5727] :
( m1_subset_1(sK722(U_5727),u1_struct_0(U_5727))
| ~ sP1038(U_5727) )
& ! [U_5727] :
( m1_subset_1(sK721(U_5727),u1_struct_0(U_5727))
| ~ sP1038(U_5727) )
& ! [U_5727] :
( m1_subset_1(sK720(U_5727),u1_struct_0(U_5727))
| ~ sP1038(U_5727) )
& ! [U_5727,U_5722,U_5723,U_5721] :
( v4_rlvect_1(U_5727)
| sP1038(U_5727)
| ~ sP1039(U_5727,U_5722,U_5723,U_5721) )
& ! [U_5727,U_5722,U_5723,U_5721] :
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5723,U_5722),U_5721) = k2_rlvect_1(U_5727,U_5723,k2_rlvect_1(U_5727,U_5722,U_5721))
| ~ m1_subset_1(U_5721,u1_struct_0(U_5727))
| ~ m1_subset_1(U_5722,u1_struct_0(U_5727))
| ~ m1_subset_1(U_5723,u1_struct_0(U_5727))
| ~ v4_rlvect_1(U_5727)
| ~ sP1039(U_5727,U_5722,U_5723,U_5721) )
& ! [U_5727,U_5722,U_5723,U_5721] :
( sP1039(U_5727,U_5722,U_5723,U_5721)
| ~ l1_rlvect_1(U_5727)
| v3_struct_0(U_5727) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1038,sP1039])],[f_2215_5]) ).
cnf(f_2215_7,plain,
( sP1039(U_5727,U_5722,U_5723,U_5721)
| ~ l1_rlvect_1(U_5727)
| v3_struct_0(U_5727) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
cnf(f_2215_8,plain,
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,U_5723,U_5722),U_5721) = k2_rlvect_1(U_5727,U_5723,k2_rlvect_1(U_5727,U_5722,U_5721))
| ~ m1_subset_1(U_5721,u1_struct_0(U_5727))
| ~ m1_subset_1(U_5722,u1_struct_0(U_5727))
| ~ m1_subset_1(U_5723,u1_struct_0(U_5727))
| ~ v4_rlvect_1(U_5727)
| ~ sP1039(U_5727,U_5722,U_5723,U_5721) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
cnf(f_2215_9,plain,
( v4_rlvect_1(U_5727)
| sP1038(U_5727)
| ~ sP1039(U_5727,U_5722,U_5723,U_5721) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
cnf(f_2215_10,plain,
( m1_subset_1(sK720(U_5727),u1_struct_0(U_5727))
| ~ sP1038(U_5727) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
cnf(f_2215_11,plain,
( m1_subset_1(sK721(U_5727),u1_struct_0(U_5727))
| ~ sP1038(U_5727) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
cnf(f_2215_12,plain,
( m1_subset_1(sK722(U_5727),u1_struct_0(U_5727))
| ~ sP1038(U_5727) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
cnf(f_2215_13,plain,
( k2_rlvect_1(U_5727,k2_rlvect_1(U_5727,sK720(U_5727),sK721(U_5727)),sK722(U_5727)) != k2_rlvect_1(U_5727,sK720(U_5727),k2_rlvect_1(U_5727,sK721(U_5727),sK722(U_5727)))
| ~ sP1038(U_5727) ),
inference(clausify,[status(thm)],[f_2215_6]) ).
fof(f_2216_1,plain,
! [A] :
( ( ( v5_rlvect_1(A)
| ? [B] :
( k2_rlvect_1(A,B,k1_rlvect_1(A)) != B
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( k2_rlvect_1(A,B,k1_rlvect_1(A)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v5_rlvect_1(A) ) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d7_rlvect_1]) ).
fof(f_2216_2,plain,
! [U_5730] :
( ( ( v5_rlvect_1(U_5730)
| ? [U_5729] :
( k2_rlvect_1(U_5730,U_5729,k1_rlvect_1(U_5730)) != U_5729
& m1_subset_1(U_5729,u1_struct_0(U_5730)) ) )
& ( ! [U_5728] :
( k2_rlvect_1(U_5730,U_5728,k1_rlvect_1(U_5730)) = U_5728
| ~ m1_subset_1(U_5728,u1_struct_0(U_5730)) )
| ~ v5_rlvect_1(U_5730) ) )
| ~ l1_rlvect_1(U_5730)
| v3_struct_0(U_5730) ),
inference(variable_rename,[status(thm)],[f_2216_1]) ).
fof(f_2216_3,plain,
! [U_5730] :
( ( ( v5_rlvect_1(U_5730)
| ( k2_rlvect_1(U_5730,sK723(U_5730),k1_rlvect_1(U_5730)) != sK723(U_5730)
& m1_subset_1(sK723(U_5730),u1_struct_0(U_5730)) ) )
& ( ! [U_5728] :
( k2_rlvect_1(U_5730,U_5728,k1_rlvect_1(U_5730)) = U_5728
| ~ m1_subset_1(U_5728,u1_struct_0(U_5730)) )
| ~ v5_rlvect_1(U_5730) ) )
| ~ l1_rlvect_1(U_5730)
| v3_struct_0(U_5730) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK723]),skolemize(U_5729,sK723(U_5730))],[f_2216_2]) ).
fof(f_2216_4,plain,
( ! [U_5730] :
( k2_rlvect_1(U_5730,sK723(U_5730),k1_rlvect_1(U_5730)) != sK723(U_5730)
| ~ sP1040(U_5730) )
& ! [U_5730] :
( m1_subset_1(sK723(U_5730),u1_struct_0(U_5730))
| ~ sP1040(U_5730) )
& ! [U_5730,U_5728] :
( v5_rlvect_1(U_5730)
| sP1040(U_5730)
| ~ sP1041(U_5730,U_5728) )
& ! [U_5730,U_5728] :
( k2_rlvect_1(U_5730,U_5728,k1_rlvect_1(U_5730)) = U_5728
| ~ m1_subset_1(U_5728,u1_struct_0(U_5730))
| ~ v5_rlvect_1(U_5730)
| ~ sP1041(U_5730,U_5728) )
& ! [U_5730,U_5728] :
( sP1041(U_5730,U_5728)
| ~ l1_rlvect_1(U_5730)
| v3_struct_0(U_5730) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1040,sP1041])],[f_2216_3]) ).
cnf(f_2216_5,plain,
( sP1041(U_5730,U_5728)
| ~ l1_rlvect_1(U_5730)
| v3_struct_0(U_5730) ),
inference(clausify,[status(thm)],[f_2216_4]) ).
cnf(f_2216_6,plain,
( k2_rlvect_1(U_5730,U_5728,k1_rlvect_1(U_5730)) = U_5728
| ~ m1_subset_1(U_5728,u1_struct_0(U_5730))
| ~ v5_rlvect_1(U_5730)
| ~ sP1041(U_5730,U_5728) ),
inference(clausify,[status(thm)],[f_2216_4]) ).
cnf(f_2216_7,plain,
( v5_rlvect_1(U_5730)
| sP1040(U_5730)
| ~ sP1041(U_5730,U_5728) ),
inference(clausify,[status(thm)],[f_2216_4]) ).
cnf(f_2216_8,plain,
( m1_subset_1(sK723(U_5730),u1_struct_0(U_5730))
| ~ sP1040(U_5730) ),
inference(clausify,[status(thm)],[f_2216_4]) ).
cnf(f_2216_9,plain,
( k2_rlvect_1(U_5730,sK723(U_5730),k1_rlvect_1(U_5730)) != sK723(U_5730)
| ~ sP1040(U_5730) ),
inference(clausify,[status(thm)],[f_2216_4]) ).
fof(f_2217_1,plain,
! [A] :
( ( ( v6_rlvect_1(A)
| ? [B] :
( ! [C] :
( k2_rlvect_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ? [C] :
( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v6_rlvect_1(A) ) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d8_rlvect_1]) ).
fof(f_2217_2,plain,
! [U_5735] :
( ( ( v6_rlvect_1(U_5735)
| ? [U_5734] :
( ! [U_5733] :
( k2_rlvect_1(U_5735,U_5734,U_5733) != k1_rlvect_1(U_5735)
| ~ m1_subset_1(U_5733,u1_struct_0(U_5735)) )
& m1_subset_1(U_5734,u1_struct_0(U_5735)) ) )
& ( ! [U_5732] :
( ? [U_5731] :
( k2_rlvect_1(U_5735,U_5732,U_5731) = k1_rlvect_1(U_5735)
& m1_subset_1(U_5731,u1_struct_0(U_5735)) )
| ~ m1_subset_1(U_5732,u1_struct_0(U_5735)) )
| ~ v6_rlvect_1(U_5735) ) )
| ~ l1_rlvect_1(U_5735)
| v3_struct_0(U_5735) ),
inference(variable_rename,[status(thm)],[f_2217_1]) ).
fof(f_2217_3,plain,
! [U_5735] :
( ( ( v6_rlvect_1(U_5735)
| ? [U_5734] :
( ! [U_5733] :
( k2_rlvect_1(U_5735,U_5734,U_5733) != k1_rlvect_1(U_5735)
| ~ m1_subset_1(U_5733,u1_struct_0(U_5735)) )
& m1_subset_1(U_5734,u1_struct_0(U_5735)) ) )
& ( ! [U_5732] :
( ( k2_rlvect_1(U_5735,U_5732,sK724(U_5735,U_5732)) = k1_rlvect_1(U_5735)
& m1_subset_1(sK724(U_5735,U_5732),u1_struct_0(U_5735)) )
| ~ m1_subset_1(U_5732,u1_struct_0(U_5735)) )
| ~ v6_rlvect_1(U_5735) ) )
| ~ l1_rlvect_1(U_5735)
| v3_struct_0(U_5735) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK724]),skolemize(U_5731,sK724(U_5735,U_5732))],[f_2217_2]) ).
fof(f_2217_4,plain,
! [U_5735] :
( ( ( v6_rlvect_1(U_5735)
| ( ! [U_5733] :
( k2_rlvect_1(U_5735,sK725(U_5735),U_5733) != k1_rlvect_1(U_5735)
| ~ m1_subset_1(U_5733,u1_struct_0(U_5735)) )
& m1_subset_1(sK725(U_5735),u1_struct_0(U_5735)) ) )
& ( ! [U_5732] :
( ( k2_rlvect_1(U_5735,U_5732,sK724(U_5735,U_5732)) = k1_rlvect_1(U_5735)
& m1_subset_1(sK724(U_5735,U_5732),u1_struct_0(U_5735)) )
| ~ m1_subset_1(U_5732,u1_struct_0(U_5735)) )
| ~ v6_rlvect_1(U_5735) ) )
| ~ l1_rlvect_1(U_5735)
| v3_struct_0(U_5735) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK725]),skolemize(U_5734,sK725(U_5735))],[f_2217_3]) ).
fof(f_2217_5,plain,
( ! [U_5733,U_5735] :
( k2_rlvect_1(U_5735,sK725(U_5735),U_5733) != k1_rlvect_1(U_5735)
| ~ m1_subset_1(U_5733,u1_struct_0(U_5735))
| ~ sP1043(U_5733,U_5735) )
& ! [U_5733,U_5735] :
( m1_subset_1(sK725(U_5735),u1_struct_0(U_5735))
| ~ sP1043(U_5733,U_5735) )
& ! [U_5732,U_5735] :
( k2_rlvect_1(U_5735,U_5732,sK724(U_5735,U_5732)) = k1_rlvect_1(U_5735)
| ~ sP1042(U_5732,U_5735) )
& ! [U_5732,U_5735] :
( m1_subset_1(sK724(U_5735,U_5732),u1_struct_0(U_5735))
| ~ sP1042(U_5732,U_5735) )
& ! [U_5732,U_5733,U_5735] :
( v6_rlvect_1(U_5735)
| sP1043(U_5733,U_5735)
| ~ sP1044(U_5732,U_5733,U_5735) )
& ! [U_5732,U_5733,U_5735] :
( sP1042(U_5732,U_5735)
| ~ m1_subset_1(U_5732,u1_struct_0(U_5735))
| ~ v6_rlvect_1(U_5735)
| ~ sP1044(U_5732,U_5733,U_5735) )
& ! [U_5732,U_5733,U_5735] :
( sP1044(U_5732,U_5733,U_5735)
| ~ l1_rlvect_1(U_5735)
| v3_struct_0(U_5735) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1042,sP1043,sP1044])],[f_2217_4]) ).
cnf(f_2217_6,plain,
( sP1044(U_5732,U_5733,U_5735)
| ~ l1_rlvect_1(U_5735)
| v3_struct_0(U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
cnf(f_2217_7,plain,
( sP1042(U_5732,U_5735)
| ~ m1_subset_1(U_5732,u1_struct_0(U_5735))
| ~ v6_rlvect_1(U_5735)
| ~ sP1044(U_5732,U_5733,U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
cnf(f_2217_8,plain,
( v6_rlvect_1(U_5735)
| sP1043(U_5733,U_5735)
| ~ sP1044(U_5732,U_5733,U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
cnf(f_2217_9,plain,
( m1_subset_1(sK724(U_5735,U_5732),u1_struct_0(U_5735))
| ~ sP1042(U_5732,U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
cnf(f_2217_10,plain,
( k2_rlvect_1(U_5735,U_5732,sK724(U_5735,U_5732)) = k1_rlvect_1(U_5735)
| ~ sP1042(U_5732,U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
cnf(f_2217_11,plain,
( m1_subset_1(sK725(U_5735),u1_struct_0(U_5735))
| ~ sP1043(U_5733,U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
cnf(f_2217_12,plain,
( k2_rlvect_1(U_5735,sK725(U_5735),U_5733) != k1_rlvect_1(U_5735)
| ~ m1_subset_1(U_5733,u1_struct_0(U_5735))
| ~ sP1043(U_5733,U_5735) ),
inference(clausify,[status(thm)],[f_2217_5]) ).
fof(f_2218_1,plain,
! [A] :
( ( ( v7_rlvect_1(A)
| ? [B] :
( k3_rlvect_1(A,B,np__1) != B
& m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( ? [C] :
( ? [D] :
( k3_rlvect_1(A,D,k4_real_1(B,C)) != k3_rlvect_1(A,k3_rlvect_1(A,D,C),B)
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,k1_numbers) )
& m1_subset_1(B,k1_numbers) )
| ? [B] :
( ? [C] :
( ? [D] :
( k3_rlvect_1(A,D,k3_real_1(B,C)) != k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,k1_numbers) )
& m1_subset_1(B,k1_numbers) )
| ? [B] :
( ? [C] :
( ? [D] :
( k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) != k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,k1_numbers) ) )
& ( ( ! [B] :
( k3_rlvect_1(A,B,np__1) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
& ! [B] :
( ! [C] :
( ! [D] :
( k3_rlvect_1(A,D,k4_real_1(B,C)) = k3_rlvect_1(A,k3_rlvect_1(A,D,C),B)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,k1_numbers) )
& ! [B] :
( ! [C] :
( ! [D] :
( k3_rlvect_1(A,D,k3_real_1(B,C)) = k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,k1_numbers) )
& ! [B] :
( ! [C] :
( ! [D] :
( k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,k1_numbers) ) )
| ~ v7_rlvect_1(A) ) )
| ~ l2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_rlvect_1]) ).
fof(f_2218_2,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ? [U_5751] :
( ? [U_5750] :
( ? [U_5749] :
( k3_rlvect_1(U_5756,U_5749,k3_real_1(U_5751,U_5750)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5749,U_5751),k3_rlvect_1(U_5756,U_5749,U_5750))
& m1_subset_1(U_5749,u1_struct_0(U_5756)) )
& m1_subset_1(U_5750,k1_numbers) )
& m1_subset_1(U_5751,k1_numbers) )
| ? [U_5748] :
( ? [U_5747] :
( ? [U_5746] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5747,U_5746),U_5748) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5747,U_5748),k3_rlvect_1(U_5756,U_5746,U_5748))
& m1_subset_1(U_5746,u1_struct_0(U_5756)) )
& m1_subset_1(U_5747,u1_struct_0(U_5756)) )
& m1_subset_1(U_5748,k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(variable_rename,[status(thm)],[f_2218_1]) ).
fof(f_2218_3,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ? [U_5751] :
( ? [U_5750] :
( ? [U_5749] :
( k3_rlvect_1(U_5756,U_5749,k3_real_1(U_5751,U_5750)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5749,U_5751),k3_rlvect_1(U_5756,U_5749,U_5750))
& m1_subset_1(U_5749,u1_struct_0(U_5756)) )
& m1_subset_1(U_5750,k1_numbers) )
& m1_subset_1(U_5751,k1_numbers) )
| ( ? [U_5747] :
( ? [U_5746] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5747,U_5746),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5747,sK726(U_5756)),k3_rlvect_1(U_5756,U_5746,sK726(U_5756)))
& m1_subset_1(U_5746,u1_struct_0(U_5756)) )
& m1_subset_1(U_5747,u1_struct_0(U_5756)) )
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK726]),skolemize(U_5748,sK726(U_5756))],[f_2218_2]) ).
fof(f_2218_4,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ? [U_5751] :
( ? [U_5750] :
( ? [U_5749] :
( k3_rlvect_1(U_5756,U_5749,k3_real_1(U_5751,U_5750)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5749,U_5751),k3_rlvect_1(U_5756,U_5749,U_5750))
& m1_subset_1(U_5749,u1_struct_0(U_5756)) )
& m1_subset_1(U_5750,k1_numbers) )
& m1_subset_1(U_5751,k1_numbers) )
| ( ? [U_5746] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),U_5746),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,U_5746,sK726(U_5756)))
& m1_subset_1(U_5746,u1_struct_0(U_5756)) )
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK727]),skolemize(U_5747,sK727(U_5756))],[f_2218_3]) ).
fof(f_2218_5,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ? [U_5751] :
( ? [U_5750] :
( ? [U_5749] :
( k3_rlvect_1(U_5756,U_5749,k3_real_1(U_5751,U_5750)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5749,U_5751),k3_rlvect_1(U_5756,U_5749,U_5750))
& m1_subset_1(U_5749,u1_struct_0(U_5756)) )
& m1_subset_1(U_5750,k1_numbers) )
& m1_subset_1(U_5751,k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK728]),skolemize(U_5746,sK728(U_5756))],[f_2218_4]) ).
fof(f_2218_6,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ( ? [U_5750] :
( ? [U_5749] :
( k3_rlvect_1(U_5756,U_5749,k3_real_1(sK729(U_5756),U_5750)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5749,sK729(U_5756)),k3_rlvect_1(U_5756,U_5749,U_5750))
& m1_subset_1(U_5749,u1_struct_0(U_5756)) )
& m1_subset_1(U_5750,k1_numbers) )
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK729]),skolemize(U_5751,sK729(U_5756))],[f_2218_5]) ).
fof(f_2218_7,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ( ? [U_5749] :
( k3_rlvect_1(U_5756,U_5749,k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5749,sK729(U_5756)),k3_rlvect_1(U_5756,U_5749,sK730(U_5756)))
& m1_subset_1(U_5749,u1_struct_0(U_5756)) )
& m1_subset_1(sK730(U_5756),k1_numbers)
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK730]),skolemize(U_5750,sK730(U_5756))],[f_2218_6]) ).
fof(f_2218_8,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ? [U_5754] :
( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(U_5754,U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),U_5754)
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(U_5754,k1_numbers) )
| ( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
& m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK730(U_5756),k1_numbers)
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK731]),skolemize(U_5749,sK731(U_5756))],[f_2218_7]) ).
fof(f_2218_9,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ( ? [U_5753] :
( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(sK732(U_5756),U_5753)) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,U_5753),sK732(U_5756))
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(U_5753,k1_numbers) )
& m1_subset_1(sK732(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
& m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK730(U_5756),k1_numbers)
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK732]),skolemize(U_5754,sK732(U_5756))],[f_2218_8]) ).
fof(f_2218_10,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ( ? [U_5752] :
( k3_rlvect_1(U_5756,U_5752,k4_real_1(sK732(U_5756),sK733(U_5756))) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5752,sK733(U_5756)),sK732(U_5756))
& m1_subset_1(U_5752,u1_struct_0(U_5756)) )
& m1_subset_1(sK733(U_5756),k1_numbers)
& m1_subset_1(sK732(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
& m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK730(U_5756),k1_numbers)
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK733]),skolemize(U_5753,sK733(U_5756))],[f_2218_9]) ).
fof(f_2218_11,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ? [U_5755] :
( k3_rlvect_1(U_5756,U_5755,np__1) != U_5755
& m1_subset_1(U_5755,u1_struct_0(U_5756)) )
| ( k3_rlvect_1(U_5756,sK734(U_5756),k4_real_1(sK732(U_5756),sK733(U_5756))) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK734(U_5756),sK733(U_5756)),sK732(U_5756))
& m1_subset_1(sK734(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK733(U_5756),k1_numbers)
& m1_subset_1(sK732(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
& m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK730(U_5756),k1_numbers)
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK734]),skolemize(U_5752,sK734(U_5756))],[f_2218_10]) ).
fof(f_2218_12,plain,
! [U_5756] :
( ( ( v7_rlvect_1(U_5756)
| ( k3_rlvect_1(U_5756,sK735(U_5756),np__1) != sK735(U_5756)
& m1_subset_1(sK735(U_5756),u1_struct_0(U_5756)) )
| ( k3_rlvect_1(U_5756,sK734(U_5756),k4_real_1(sK732(U_5756),sK733(U_5756))) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK734(U_5756),sK733(U_5756)),sK732(U_5756))
& m1_subset_1(sK734(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK733(U_5756),k1_numbers)
& m1_subset_1(sK732(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
& m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK730(U_5756),k1_numbers)
& m1_subset_1(sK729(U_5756),k1_numbers) )
| ( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
& m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
& m1_subset_1(sK726(U_5756),k1_numbers) ) )
& ( ( ! [U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756)) )
& ! [U_5744] :
( ! [U_5743] :
( ! [U_5742] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5743,k1_numbers) )
| ~ m1_subset_1(U_5744,k1_numbers) )
& ! [U_5741] :
( ! [U_5740] :
( ! [U_5739] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5740,k1_numbers) )
| ~ m1_subset_1(U_5741,k1_numbers) )
& ! [U_5738] :
( ! [U_5737] :
( ! [U_5736] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756)) )
| ~ m1_subset_1(U_5738,k1_numbers) ) )
| ~ v7_rlvect_1(U_5756) ) )
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK735]),skolemize(U_5755,sK735(U_5756))],[f_2218_11]) ).
fof(f_2218_13,plain,
( ! [U_5756] :
( k3_rlvect_1(U_5756,sK735(U_5756),np__1) != sK735(U_5756)
| ~ sP1049(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK735(U_5756),u1_struct_0(U_5756))
| ~ sP1049(U_5756) )
& ! [U_5756] :
( k3_rlvect_1(U_5756,sK734(U_5756),k4_real_1(sK732(U_5756),sK733(U_5756))) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK734(U_5756),sK733(U_5756)),sK732(U_5756))
| ~ sP1048(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK734(U_5756),u1_struct_0(U_5756))
| ~ sP1048(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK733(U_5756),k1_numbers)
| ~ sP1048(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK732(U_5756),k1_numbers)
| ~ sP1048(U_5756) )
& ! [U_5756] :
( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
| ~ sP1047(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
| ~ sP1047(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK730(U_5756),k1_numbers)
| ~ sP1047(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK729(U_5756),k1_numbers)
| ~ sP1047(U_5756) )
& ! [U_5756] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
| ~ sP1046(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
| ~ sP1046(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
| ~ sP1046(U_5756) )
& ! [U_5756] :
( m1_subset_1(sK726(U_5756),k1_numbers)
| ~ sP1046(U_5756) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756))
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5743,k1_numbers)
| ~ m1_subset_1(U_5744,k1_numbers)
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5740,k1_numbers)
| ~ m1_subset_1(U_5741,k1_numbers)
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5738,k1_numbers)
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( v7_rlvect_1(U_5756)
| sP1049(U_5756)
| sP1048(U_5756)
| sP1047(U_5756)
| sP1046(U_5756)
| ~ sP1050(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745)
| ~ v7_rlvect_1(U_5756)
| ~ sP1050(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) )
& ! [U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745] :
( sP1050(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745)
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1045,sP1046,sP1047,sP1048,sP1049,sP1050])],[f_2218_12]) ).
cnf(f_2218_14,plain,
( sP1050(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745)
| ~ l2_rlvect_1(U_5756)
| v3_struct_0(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_15,plain,
( sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745)
| ~ v7_rlvect_1(U_5756)
| ~ sP1050(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_16,plain,
( v7_rlvect_1(U_5756)
| sP1049(U_5756)
| sP1048(U_5756)
| sP1047(U_5756)
| sP1046(U_5756)
| ~ sP1050(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_17,plain,
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,U_5737,U_5736),U_5738) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5737,U_5738),k3_rlvect_1(U_5756,U_5736,U_5738))
| ~ m1_subset_1(U_5736,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5737,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5738,k1_numbers)
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_18,plain,
( k3_rlvect_1(U_5756,U_5739,k3_real_1(U_5741,U_5740)) = k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5739,U_5741),k3_rlvect_1(U_5756,U_5739,U_5740))
| ~ m1_subset_1(U_5739,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5740,k1_numbers)
| ~ m1_subset_1(U_5741,k1_numbers)
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_19,plain,
( k3_rlvect_1(U_5756,U_5742,k4_real_1(U_5744,U_5743)) = k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,U_5742,U_5743),U_5744)
| ~ m1_subset_1(U_5742,u1_struct_0(U_5756))
| ~ m1_subset_1(U_5743,k1_numbers)
| ~ m1_subset_1(U_5744,k1_numbers)
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_20,plain,
( k3_rlvect_1(U_5756,U_5745,np__1) = U_5745
| ~ m1_subset_1(U_5745,u1_struct_0(U_5756))
| ~ sP1045(U_5740,U_5742,U_5738,U_5756,U_5741,U_5737,U_5736,U_5739,U_5743,U_5744,U_5745) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_21,plain,
( m1_subset_1(sK726(U_5756),k1_numbers)
| ~ sP1046(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_22,plain,
( m1_subset_1(sK727(U_5756),u1_struct_0(U_5756))
| ~ sP1046(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_23,plain,
( m1_subset_1(sK728(U_5756),u1_struct_0(U_5756))
| ~ sP1046(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_24,plain,
( k3_rlvect_1(U_5756,k2_rlvect_1(U_5756,sK727(U_5756),sK728(U_5756)),sK726(U_5756)) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK727(U_5756),sK726(U_5756)),k3_rlvect_1(U_5756,sK728(U_5756),sK726(U_5756)))
| ~ sP1046(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_25,plain,
( m1_subset_1(sK729(U_5756),k1_numbers)
| ~ sP1047(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_26,plain,
( m1_subset_1(sK730(U_5756),k1_numbers)
| ~ sP1047(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_27,plain,
( m1_subset_1(sK731(U_5756),u1_struct_0(U_5756))
| ~ sP1047(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_28,plain,
( k3_rlvect_1(U_5756,sK731(U_5756),k3_real_1(sK729(U_5756),sK730(U_5756))) != k2_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK731(U_5756),sK729(U_5756)),k3_rlvect_1(U_5756,sK731(U_5756),sK730(U_5756)))
| ~ sP1047(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_29,plain,
( m1_subset_1(sK732(U_5756),k1_numbers)
| ~ sP1048(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_30,plain,
( m1_subset_1(sK733(U_5756),k1_numbers)
| ~ sP1048(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_31,plain,
( m1_subset_1(sK734(U_5756),u1_struct_0(U_5756))
| ~ sP1048(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_32,plain,
( k3_rlvect_1(U_5756,sK734(U_5756),k4_real_1(sK732(U_5756),sK733(U_5756))) != k3_rlvect_1(U_5756,k3_rlvect_1(U_5756,sK734(U_5756),sK733(U_5756)),sK732(U_5756))
| ~ sP1048(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_33,plain,
( m1_subset_1(sK735(U_5756),u1_struct_0(U_5756))
| ~ sP1049(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
cnf(f_2218_34,plain,
( k3_rlvect_1(U_5756,sK735(U_5756),np__1) != sK735(U_5756)
| ~ sP1049(U_5756) ),
inference(clausify,[status(thm)],[f_2218_13]) ).
fof(f_2219_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_rlvect_1]) ).
fof(f_2219_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2219_1]) ).
cnf(f_2219_3,plain,
$true,
inference(clausify,[status(thm)],[f_2219_2]) ).
fof(f_2220_1,plain,
! [A] :
( ( l2_rlvect_1(A)
& v7_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
| ? [B] :
( k3_rlvect_1(A,B,np__1) != B
& m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( ? [C] :
( ? [D] :
( k3_rlvect_1(A,D,k4_real_1(B,C)) != k3_rlvect_1(A,k3_rlvect_1(A,D,C),B)
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,k1_numbers) )
& m1_subset_1(B,k1_numbers) )
| ? [B] :
( ? [C] :
( ? [D] :
( k3_rlvect_1(A,D,k3_real_1(B,C)) != k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,k1_numbers) )
& m1_subset_1(B,k1_numbers) )
| ? [B] :
( ? [C] :
( ? [D] :
( k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) != k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,k1_numbers) )
| ? [B] :
( ! [C] :
( k2_rlvect_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( k2_rlvect_1(A,B,k1_rlvect_1(A)) != B
& m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( ? [C] :
( ? [D] :
( k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) != k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( ? [C] :
( k2_rlvect_1(A,B,C) != k2_rlvect_1(A,C,B)
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_rlvect_1]) ).
fof(f_2220_2,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ? [U_5762] :
( k2_rlvect_1(U_5775,U_5762,k1_rlvect_1(U_5775)) != U_5762
& m1_subset_1(U_5762,u1_struct_0(U_5775)) )
| ? [U_5761] :
( ? [U_5760] :
( ? [U_5759] :
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5761,U_5760),U_5759) != k2_rlvect_1(U_5775,U_5761,k2_rlvect_1(U_5775,U_5760,U_5759))
& m1_subset_1(U_5759,u1_struct_0(U_5775)) )
& m1_subset_1(U_5760,u1_struct_0(U_5775)) )
& m1_subset_1(U_5761,u1_struct_0(U_5775)) )
| ? [U_5758] :
( ? [U_5757] :
( k2_rlvect_1(U_5775,U_5758,U_5757) != k2_rlvect_1(U_5775,U_5757,U_5758)
& m1_subset_1(U_5757,u1_struct_0(U_5775)) )
& m1_subset_1(U_5758,u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(variable_rename,[status(thm)],[f_2220_1]) ).
fof(f_2220_3,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ? [U_5762] :
( k2_rlvect_1(U_5775,U_5762,k1_rlvect_1(U_5775)) != U_5762
& m1_subset_1(U_5762,u1_struct_0(U_5775)) )
| ? [U_5761] :
( ? [U_5760] :
( ? [U_5759] :
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5761,U_5760),U_5759) != k2_rlvect_1(U_5775,U_5761,k2_rlvect_1(U_5775,U_5760,U_5759))
& m1_subset_1(U_5759,u1_struct_0(U_5775)) )
& m1_subset_1(U_5760,u1_struct_0(U_5775)) )
& m1_subset_1(U_5761,u1_struct_0(U_5775)) )
| ( ? [U_5757] :
( k2_rlvect_1(U_5775,sK736(U_5775),U_5757) != k2_rlvect_1(U_5775,U_5757,sK736(U_5775))
& m1_subset_1(U_5757,u1_struct_0(U_5775)) )
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK736]),skolemize(U_5758,sK736(U_5775))],[f_2220_2]) ).
fof(f_2220_4,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ? [U_5762] :
( k2_rlvect_1(U_5775,U_5762,k1_rlvect_1(U_5775)) != U_5762
& m1_subset_1(U_5762,u1_struct_0(U_5775)) )
| ? [U_5761] :
( ? [U_5760] :
( ? [U_5759] :
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5761,U_5760),U_5759) != k2_rlvect_1(U_5775,U_5761,k2_rlvect_1(U_5775,U_5760,U_5759))
& m1_subset_1(U_5759,u1_struct_0(U_5775)) )
& m1_subset_1(U_5760,u1_struct_0(U_5775)) )
& m1_subset_1(U_5761,u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK737]),skolemize(U_5757,sK737(U_5775))],[f_2220_3]) ).
fof(f_2220_5,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ? [U_5762] :
( k2_rlvect_1(U_5775,U_5762,k1_rlvect_1(U_5775)) != U_5762
& m1_subset_1(U_5762,u1_struct_0(U_5775)) )
| ( ? [U_5760] :
( ? [U_5759] :
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),U_5760),U_5759) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,U_5760,U_5759))
& m1_subset_1(U_5759,u1_struct_0(U_5775)) )
& m1_subset_1(U_5760,u1_struct_0(U_5775)) )
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK738]),skolemize(U_5761,sK738(U_5775))],[f_2220_4]) ).
fof(f_2220_6,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ? [U_5762] :
( k2_rlvect_1(U_5775,U_5762,k1_rlvect_1(U_5775)) != U_5762
& m1_subset_1(U_5762,u1_struct_0(U_5775)) )
| ( ? [U_5759] :
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),U_5759) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),U_5759))
& m1_subset_1(U_5759,u1_struct_0(U_5775)) )
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK739]),skolemize(U_5760,sK739(U_5775))],[f_2220_5]) ).
fof(f_2220_7,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ? [U_5762] :
( k2_rlvect_1(U_5775,U_5762,k1_rlvect_1(U_5775)) != U_5762
& m1_subset_1(U_5762,u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK740]),skolemize(U_5759,sK740(U_5775))],[f_2220_6]) ).
fof(f_2220_8,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ? [U_5764] :
( ! [U_5763] :
( k2_rlvect_1(U_5775,U_5764,U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(U_5764,u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK741]),skolemize(U_5762,sK741(U_5775))],[f_2220_7]) ).
fof(f_2220_9,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ? [U_5767] :
( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),U_5767) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,U_5767),k3_rlvect_1(U_5775,U_5765,U_5767))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(U_5767,k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK742]),skolemize(U_5764,sK742(U_5775))],[f_2220_8]) ).
fof(f_2220_10,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ( ? [U_5766] :
( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,U_5766,U_5765),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5766,sK743(U_5775)),k3_rlvect_1(U_5775,U_5765,sK743(U_5775)))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(U_5766,u1_struct_0(U_5775)) )
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK743]),skolemize(U_5767,sK743(U_5775))],[f_2220_9]) ).
fof(f_2220_11,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ( ? [U_5765] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),U_5765),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,U_5765,sK743(U_5775)))
& m1_subset_1(U_5765,u1_struct_0(U_5775)) )
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK744]),skolemize(U_5766,sK744(U_5775))],[f_2220_10]) ).
fof(f_2220_12,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ? [U_5770] :
( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(U_5770,U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,U_5770),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(U_5770,k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK745]),skolemize(U_5765,sK745(U_5775))],[f_2220_11]) ).
fof(f_2220_13,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ( ? [U_5769] :
( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(sK746(U_5775),U_5769)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,sK746(U_5775)),k3_rlvect_1(U_5775,U_5768,U_5769))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(U_5769,k1_numbers) )
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK746]),skolemize(U_5770,sK746(U_5775))],[f_2220_12]) ).
fof(f_2220_14,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ( ? [U_5768] :
( k3_rlvect_1(U_5775,U_5768,k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5768,sK746(U_5775)),k3_rlvect_1(U_5775,U_5768,sK747(U_5775)))
& m1_subset_1(U_5768,u1_struct_0(U_5775)) )
& m1_subset_1(sK747(U_5775),k1_numbers)
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK747]),skolemize(U_5769,sK747(U_5775))],[f_2220_13]) ).
fof(f_2220_15,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ? [U_5773] :
( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(U_5773,U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),U_5773)
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(U_5773,k1_numbers) )
| ( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
& m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK747(U_5775),k1_numbers)
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK748]),skolemize(U_5768,sK748(U_5775))],[f_2220_14]) ).
fof(f_2220_16,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ( ? [U_5772] :
( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(sK749(U_5775),U_5772)) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,U_5772),sK749(U_5775))
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(U_5772,k1_numbers) )
& m1_subset_1(sK749(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
& m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK747(U_5775),k1_numbers)
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK749]),skolemize(U_5773,sK749(U_5775))],[f_2220_15]) ).
fof(f_2220_17,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ( ? [U_5771] :
( k3_rlvect_1(U_5775,U_5771,k4_real_1(sK749(U_5775),sK750(U_5775))) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,U_5771,sK750(U_5775)),sK749(U_5775))
& m1_subset_1(U_5771,u1_struct_0(U_5775)) )
& m1_subset_1(sK750(U_5775),k1_numbers)
& m1_subset_1(sK749(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
& m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK747(U_5775),k1_numbers)
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK750]),skolemize(U_5772,sK750(U_5775))],[f_2220_16]) ).
fof(f_2220_18,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ? [U_5774] :
( k3_rlvect_1(U_5775,U_5774,np__1) != U_5774
& m1_subset_1(U_5774,u1_struct_0(U_5775)) )
| ( k3_rlvect_1(U_5775,sK751(U_5775),k4_real_1(sK749(U_5775),sK750(U_5775))) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK751(U_5775),sK750(U_5775)),sK749(U_5775))
& m1_subset_1(sK751(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK750(U_5775),k1_numbers)
& m1_subset_1(sK749(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
& m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK747(U_5775),k1_numbers)
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK751]),skolemize(U_5771,sK751(U_5775))],[f_2220_17]) ).
fof(f_2220_19,plain,
! [U_5775] :
( ( l2_rlvect_1(U_5775)
& v7_rlvect_1(U_5775)
& v6_rlvect_1(U_5775)
& v5_rlvect_1(U_5775)
& v4_rlvect_1(U_5775)
& v3_rlvect_1(U_5775)
& ~ v3_struct_0(U_5775) )
| ( k3_rlvect_1(U_5775,sK752(U_5775),np__1) != sK752(U_5775)
& m1_subset_1(sK752(U_5775),u1_struct_0(U_5775)) )
| ( k3_rlvect_1(U_5775,sK751(U_5775),k4_real_1(sK749(U_5775),sK750(U_5775))) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK751(U_5775),sK750(U_5775)),sK749(U_5775))
& m1_subset_1(sK751(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK750(U_5775),k1_numbers)
& m1_subset_1(sK749(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
& m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK747(U_5775),k1_numbers)
& m1_subset_1(sK746(U_5775),k1_numbers) )
| ( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
& m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK743(U_5775),k1_numbers) )
| ( ! [U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775)) )
& m1_subset_1(sK742(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
& m1_subset_1(sK741(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
& m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK738(U_5775),u1_struct_0(U_5775)) )
| ( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
& m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
& m1_subset_1(sK736(U_5775),u1_struct_0(U_5775)) )
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK752]),skolemize(U_5774,sK752(U_5775))],[f_2220_18]) ).
fof(f_2220_20,plain,
( ! [U_5775] :
( l2_rlvect_1(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( v7_rlvect_1(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( v6_rlvect_1(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( v5_rlvect_1(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( v4_rlvect_1(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( v3_rlvect_1(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( ~ v3_struct_0(U_5775)
| ~ sP1059(U_5775) )
& ! [U_5775] :
( k3_rlvect_1(U_5775,sK752(U_5775),np__1) != sK752(U_5775)
| ~ sP1058(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK752(U_5775),u1_struct_0(U_5775))
| ~ sP1058(U_5775) )
& ! [U_5775] :
( k3_rlvect_1(U_5775,sK751(U_5775),k4_real_1(sK749(U_5775),sK750(U_5775))) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK751(U_5775),sK750(U_5775)),sK749(U_5775))
| ~ sP1057(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK751(U_5775),u1_struct_0(U_5775))
| ~ sP1057(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK750(U_5775),k1_numbers)
| ~ sP1057(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK749(U_5775),k1_numbers)
| ~ sP1057(U_5775) )
& ! [U_5775] :
( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
| ~ sP1056(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
| ~ sP1056(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK747(U_5775),k1_numbers)
| ~ sP1056(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK746(U_5775),k1_numbers)
| ~ sP1056(U_5775) )
& ! [U_5775] :
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
| ~ sP1055(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
| ~ sP1055(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
| ~ sP1055(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK743(U_5775),k1_numbers)
| ~ sP1055(U_5775) )
& ! [U_5775,U_5763] :
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775))
| ~ sP1054(U_5775,U_5763) )
& ! [U_5775,U_5763] :
( m1_subset_1(sK742(U_5775),u1_struct_0(U_5775))
| ~ sP1054(U_5775,U_5763) )
& ! [U_5775] :
( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
| ~ sP1053(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK741(U_5775),u1_struct_0(U_5775))
| ~ sP1053(U_5775) )
& ! [U_5775] :
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
| ~ sP1052(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
| ~ sP1052(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
| ~ sP1052(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK738(U_5775),u1_struct_0(U_5775))
| ~ sP1052(U_5775) )
& ! [U_5775] :
( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
| ~ sP1051(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
| ~ sP1051(U_5775) )
& ! [U_5775] :
( m1_subset_1(sK736(U_5775),u1_struct_0(U_5775))
| ~ sP1051(U_5775) )
& ! [U_5775,U_5763] :
( sP1059(U_5775)
| sP1058(U_5775)
| sP1057(U_5775)
| sP1056(U_5775)
| sP1055(U_5775)
| sP1054(U_5775,U_5763)
| sP1053(U_5775)
| sP1052(U_5775)
| sP1051(U_5775)
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1051,sP1052,sP1053,sP1054,sP1055,sP1056,sP1057,sP1058,sP1059])],[f_2220_19]) ).
cnf(f_2220_21,plain,
( sP1059(U_5775)
| sP1058(U_5775)
| sP1057(U_5775)
| sP1056(U_5775)
| sP1055(U_5775)
| sP1054(U_5775,U_5763)
| sP1053(U_5775)
| sP1052(U_5775)
| sP1051(U_5775)
| ~ l2_rlvect_1(U_5775)
| v3_struct_0(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_22,plain,
( m1_subset_1(sK736(U_5775),u1_struct_0(U_5775))
| ~ sP1051(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_23,plain,
( m1_subset_1(sK737(U_5775),u1_struct_0(U_5775))
| ~ sP1051(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_24,plain,
( k2_rlvect_1(U_5775,sK736(U_5775),sK737(U_5775)) != k2_rlvect_1(U_5775,sK737(U_5775),sK736(U_5775))
| ~ sP1051(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_25,plain,
( m1_subset_1(sK738(U_5775),u1_struct_0(U_5775))
| ~ sP1052(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_26,plain,
( m1_subset_1(sK739(U_5775),u1_struct_0(U_5775))
| ~ sP1052(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_27,plain,
( m1_subset_1(sK740(U_5775),u1_struct_0(U_5775))
| ~ sP1052(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_28,plain,
( k2_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK738(U_5775),sK739(U_5775)),sK740(U_5775)) != k2_rlvect_1(U_5775,sK738(U_5775),k2_rlvect_1(U_5775,sK739(U_5775),sK740(U_5775)))
| ~ sP1052(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_29,plain,
( m1_subset_1(sK741(U_5775),u1_struct_0(U_5775))
| ~ sP1053(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_30,plain,
( k2_rlvect_1(U_5775,sK741(U_5775),k1_rlvect_1(U_5775)) != sK741(U_5775)
| ~ sP1053(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_31,plain,
( m1_subset_1(sK742(U_5775),u1_struct_0(U_5775))
| ~ sP1054(U_5775,U_5763) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_32,plain,
( k2_rlvect_1(U_5775,sK742(U_5775),U_5763) != k1_rlvect_1(U_5775)
| ~ m1_subset_1(U_5763,u1_struct_0(U_5775))
| ~ sP1054(U_5775,U_5763) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_33,plain,
( m1_subset_1(sK743(U_5775),k1_numbers)
| ~ sP1055(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_34,plain,
( m1_subset_1(sK744(U_5775),u1_struct_0(U_5775))
| ~ sP1055(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_35,plain,
( m1_subset_1(sK745(U_5775),u1_struct_0(U_5775))
| ~ sP1055(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_36,plain,
( k3_rlvect_1(U_5775,k2_rlvect_1(U_5775,sK744(U_5775),sK745(U_5775)),sK743(U_5775)) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK744(U_5775),sK743(U_5775)),k3_rlvect_1(U_5775,sK745(U_5775),sK743(U_5775)))
| ~ sP1055(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_37,plain,
( m1_subset_1(sK746(U_5775),k1_numbers)
| ~ sP1056(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_38,plain,
( m1_subset_1(sK747(U_5775),k1_numbers)
| ~ sP1056(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_39,plain,
( m1_subset_1(sK748(U_5775),u1_struct_0(U_5775))
| ~ sP1056(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_40,plain,
( k3_rlvect_1(U_5775,sK748(U_5775),k3_real_1(sK746(U_5775),sK747(U_5775))) != k2_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK748(U_5775),sK746(U_5775)),k3_rlvect_1(U_5775,sK748(U_5775),sK747(U_5775)))
| ~ sP1056(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_41,plain,
( m1_subset_1(sK749(U_5775),k1_numbers)
| ~ sP1057(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_42,plain,
( m1_subset_1(sK750(U_5775),k1_numbers)
| ~ sP1057(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_43,plain,
( m1_subset_1(sK751(U_5775),u1_struct_0(U_5775))
| ~ sP1057(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_44,plain,
( k3_rlvect_1(U_5775,sK751(U_5775),k4_real_1(sK749(U_5775),sK750(U_5775))) != k3_rlvect_1(U_5775,k3_rlvect_1(U_5775,sK751(U_5775),sK750(U_5775)),sK749(U_5775))
| ~ sP1057(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_45,plain,
( m1_subset_1(sK752(U_5775),u1_struct_0(U_5775))
| ~ sP1058(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_46,plain,
( k3_rlvect_1(U_5775,sK752(U_5775),np__1) != sK752(U_5775)
| ~ sP1058(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_47,plain,
( ~ v3_struct_0(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_48,plain,
( v3_rlvect_1(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_49,plain,
( v4_rlvect_1(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_50,plain,
( v5_rlvect_1(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_51,plain,
( v6_rlvect_1(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_52,plain,
( v7_rlvect_1(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
cnf(f_2220_53,plain,
( l2_rlvect_1(U_5775)
| ~ sP1059(U_5775) ),
inference(clausify,[status(thm)],[f_2220_20]) ).
fof(f_2221_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_rlvect_1]) ).
fof(f_2221_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2221_1]) ).
cnf(f_2221_3,plain,
$true,
inference(clausify,[status(thm)],[f_2221_2]) ).
fof(f_2222_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_rlvect_1]) ).
fof(f_2222_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2222_1]) ).
cnf(f_2222_3,plain,
$true,
inference(clausify,[status(thm)],[f_2222_2]) ).
fof(f_2223_1,plain,
! [A] :
( ! [B] :
( ( k2_rlvect_1(A,k1_rlvect_1(A),B) = B
& k2_rlvect_1(A,B,k1_rlvect_1(A)) = B )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t10_rlvect_1]) ).
fof(f_2223_2,plain,
! [U_5777] :
( ! [U_5776] :
( ( k2_rlvect_1(U_5777,k1_rlvect_1(U_5777),U_5776) = U_5776
& k2_rlvect_1(U_5777,U_5776,k1_rlvect_1(U_5777)) = U_5776 )
| ~ m1_subset_1(U_5776,u1_struct_0(U_5777)) )
| ~ l1_rlvect_1(U_5777)
| ~ v6_rlvect_1(U_5777)
| ~ v5_rlvect_1(U_5777)
| ~ v4_rlvect_1(U_5777)
| v3_struct_0(U_5777) ),
inference(variable_rename,[status(thm)],[f_2223_1]) ).
fof(f_2223_3,plain,
( ! [U_5776,U_5777] :
( k2_rlvect_1(U_5777,k1_rlvect_1(U_5777),U_5776) = U_5776
| ~ sP1060(U_5776,U_5777) )
& ! [U_5776,U_5777] :
( k2_rlvect_1(U_5777,U_5776,k1_rlvect_1(U_5777)) = U_5776
| ~ sP1060(U_5776,U_5777) )
& ! [U_5776,U_5777] :
( sP1060(U_5776,U_5777)
| ~ m1_subset_1(U_5776,u1_struct_0(U_5777))
| ~ l1_rlvect_1(U_5777)
| ~ v6_rlvect_1(U_5777)
| ~ v5_rlvect_1(U_5777)
| ~ v4_rlvect_1(U_5777)
| v3_struct_0(U_5777) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1060])],[f_2223_2]) ).
cnf(f_2223_4,plain,
( sP1060(U_5776,U_5777)
| ~ m1_subset_1(U_5776,u1_struct_0(U_5777))
| ~ l1_rlvect_1(U_5777)
| ~ v6_rlvect_1(U_5777)
| ~ v5_rlvect_1(U_5777)
| ~ v4_rlvect_1(U_5777)
| v3_struct_0(U_5777) ),
inference(clausify,[status(thm)],[f_2223_3]) ).
cnf(f_2223_5,plain,
( k2_rlvect_1(U_5777,U_5776,k1_rlvect_1(U_5777)) = U_5776
| ~ sP1060(U_5776,U_5777) ),
inference(clausify,[status(thm)],[f_2223_3]) ).
cnf(f_2223_6,plain,
( k2_rlvect_1(U_5777,k1_rlvect_1(U_5777),U_5776) = U_5776
| ~ sP1060(U_5776,U_5777) ),
inference(clausify,[status(thm)],[f_2223_3]) ).
fof(f_2224_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k5_rlvect_1(A,B)
| k2_rlvect_1(A,B,C) != k1_rlvect_1(A) )
& ( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
| C != k5_rlvect_1(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d10_rlvect_1]) ).
fof(f_2224_2,plain,
! [U_5780] :
( ! [U_5779] :
( ! [U_5778] :
( ( ( U_5778 = k5_rlvect_1(U_5780,U_5779)
| k2_rlvect_1(U_5780,U_5779,U_5778) != k1_rlvect_1(U_5780) )
& ( k2_rlvect_1(U_5780,U_5779,U_5778) = k1_rlvect_1(U_5780)
| U_5778 != k5_rlvect_1(U_5780,U_5779) ) )
| ~ m1_subset_1(U_5778,u1_struct_0(U_5780)) )
| ~ v6_rlvect_1(U_5780)
| ~ v5_rlvect_1(U_5780)
| ~ v4_rlvect_1(U_5780)
| ~ m1_subset_1(U_5779,u1_struct_0(U_5780)) )
| ~ l1_rlvect_1(U_5780)
| v3_struct_0(U_5780) ),
inference(variable_rename,[status(thm)],[f_2224_1]) ).
fof(f_2224_3,plain,
( ! [U_5778,U_5780,U_5779] :
( U_5778 = k5_rlvect_1(U_5780,U_5779)
| k2_rlvect_1(U_5780,U_5779,U_5778) != k1_rlvect_1(U_5780)
| ~ sP1061(U_5778,U_5780,U_5779) )
& ! [U_5778,U_5780,U_5779] :
( k2_rlvect_1(U_5780,U_5779,U_5778) = k1_rlvect_1(U_5780)
| U_5778 != k5_rlvect_1(U_5780,U_5779)
| ~ sP1061(U_5778,U_5780,U_5779) )
& ! [U_5778,U_5780,U_5779] :
( sP1061(U_5778,U_5780,U_5779)
| ~ m1_subset_1(U_5778,u1_struct_0(U_5780))
| ~ v6_rlvect_1(U_5780)
| ~ v5_rlvect_1(U_5780)
| ~ v4_rlvect_1(U_5780)
| ~ m1_subset_1(U_5779,u1_struct_0(U_5780))
| ~ l1_rlvect_1(U_5780)
| v3_struct_0(U_5780) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1061])],[f_2224_2]) ).
cnf(f_2224_4,plain,
( sP1061(U_5778,U_5780,U_5779)
| ~ m1_subset_1(U_5778,u1_struct_0(U_5780))
| ~ v6_rlvect_1(U_5780)
| ~ v5_rlvect_1(U_5780)
| ~ v4_rlvect_1(U_5780)
| ~ m1_subset_1(U_5779,u1_struct_0(U_5780))
| ~ l1_rlvect_1(U_5780)
| v3_struct_0(U_5780) ),
inference(clausify,[status(thm)],[f_2224_3]) ).
cnf(f_2224_5,plain,
( k2_rlvect_1(U_5780,U_5779,U_5778) = k1_rlvect_1(U_5780)
| U_5778 != k5_rlvect_1(U_5780,U_5779)
| ~ sP1061(U_5778,U_5780,U_5779) ),
inference(clausify,[status(thm)],[f_2224_3]) ).
cnf(f_2224_6,plain,
( U_5778 = k5_rlvect_1(U_5780,U_5779)
| k2_rlvect_1(U_5780,U_5779,U_5778) != k1_rlvect_1(U_5780)
| ~ sP1061(U_5778,U_5780,U_5779) ),
inference(clausify,[status(thm)],[f_2224_3]) ).
fof(f_2225_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_1(A,B,C) = k2_rlvect_1(A,B,k5_rlvect_1(A,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d11_rlvect_1]) ).
fof(f_2225_2,plain,
! [U_5783] :
( ! [U_5782] :
( ! [U_5781] :
( k6_rlvect_1(U_5783,U_5782,U_5781) = k2_rlvect_1(U_5783,U_5782,k5_rlvect_1(U_5783,U_5781))
| ~ m1_subset_1(U_5781,u1_struct_0(U_5783)) )
| ~ m1_subset_1(U_5782,u1_struct_0(U_5783)) )
| ~ l1_rlvect_1(U_5783)
| v3_struct_0(U_5783) ),
inference(variable_rename,[status(thm)],[f_2225_1]) ).
fof(f_2225_3,plain,
! [U_5782,U_5781,U_5783] :
( k6_rlvect_1(U_5783,U_5782,U_5781) = k2_rlvect_1(U_5783,U_5782,k5_rlvect_1(U_5783,U_5781))
| ~ m1_subset_1(U_5781,u1_struct_0(U_5783))
| ~ m1_subset_1(U_5782,u1_struct_0(U_5783))
| ~ l1_rlvect_1(U_5783)
| v3_struct_0(U_5783) ),
inference(definitional_conversion,[status(esa)],[f_2225_2]) ).
cnf(f_2225_4,plain,
( k6_rlvect_1(U_5783,U_5782,U_5781) = k2_rlvect_1(U_5783,U_5782,k5_rlvect_1(U_5783,U_5781))
| ~ m1_subset_1(U_5781,u1_struct_0(U_5783))
| ~ m1_subset_1(U_5782,u1_struct_0(U_5783))
| ~ l1_rlvect_1(U_5783)
| v3_struct_0(U_5783) ),
inference(clausify,[status(thm)],[f_2225_3]) ).
fof(f_2226_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_rlvect_1]) ).
fof(f_2226_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2226_1]) ).
cnf(f_2226_3,plain,
$true,
inference(clausify,[status(thm)],[f_2226_2]) ).
fof(f_2227_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_rlvect_1]) ).
fof(f_2227_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2227_1]) ).
cnf(f_2227_3,plain,
$true,
inference(clausify,[status(thm)],[f_2227_2]) ).
fof(f_2228_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_rlvect_1]) ).
fof(f_2228_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2228_1]) ).
cnf(f_2228_3,plain,
$true,
inference(clausify,[status(thm)],[f_2228_2]) ).
fof(f_2229_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_rlvect_1]) ).
fof(f_2229_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2229_1]) ).
cnf(f_2229_3,plain,
$true,
inference(clausify,[status(thm)],[f_2229_2]) ).
fof(f_2230_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_rlvect_1]) ).
fof(f_2230_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2230_1]) ).
cnf(f_2230_3,plain,
$true,
inference(clausify,[status(thm)],[f_2230_2]) ).
fof(f_2231_1,plain,
! [A] :
( ! [B] :
( ( k2_rlvect_1(A,k5_rlvect_1(A,B),B) = k1_rlvect_1(A)
& k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t16_rlvect_1]) ).
fof(f_2231_2,plain,
! [U_5785] :
( ! [U_5784] :
( ( k2_rlvect_1(U_5785,k5_rlvect_1(U_5785,U_5784),U_5784) = k1_rlvect_1(U_5785)
& k2_rlvect_1(U_5785,U_5784,k5_rlvect_1(U_5785,U_5784)) = k1_rlvect_1(U_5785) )
| ~ m1_subset_1(U_5784,u1_struct_0(U_5785)) )
| ~ l1_rlvect_1(U_5785)
| ~ v6_rlvect_1(U_5785)
| ~ v5_rlvect_1(U_5785)
| ~ v4_rlvect_1(U_5785)
| v3_struct_0(U_5785) ),
inference(variable_rename,[status(thm)],[f_2231_1]) ).
fof(f_2231_3,plain,
( ! [U_5784,U_5785] :
( k2_rlvect_1(U_5785,k5_rlvect_1(U_5785,U_5784),U_5784) = k1_rlvect_1(U_5785)
| ~ sP1062(U_5784,U_5785) )
& ! [U_5784,U_5785] :
( k2_rlvect_1(U_5785,U_5784,k5_rlvect_1(U_5785,U_5784)) = k1_rlvect_1(U_5785)
| ~ sP1062(U_5784,U_5785) )
& ! [U_5784,U_5785] :
( sP1062(U_5784,U_5785)
| ~ m1_subset_1(U_5784,u1_struct_0(U_5785))
| ~ l1_rlvect_1(U_5785)
| ~ v6_rlvect_1(U_5785)
| ~ v5_rlvect_1(U_5785)
| ~ v4_rlvect_1(U_5785)
| v3_struct_0(U_5785) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1062])],[f_2231_2]) ).
cnf(f_2231_4,plain,
( sP1062(U_5784,U_5785)
| ~ m1_subset_1(U_5784,u1_struct_0(U_5785))
| ~ l1_rlvect_1(U_5785)
| ~ v6_rlvect_1(U_5785)
| ~ v5_rlvect_1(U_5785)
| ~ v4_rlvect_1(U_5785)
| v3_struct_0(U_5785) ),
inference(clausify,[status(thm)],[f_2231_3]) ).
cnf(f_2231_5,plain,
( k2_rlvect_1(U_5785,U_5784,k5_rlvect_1(U_5785,U_5784)) = k1_rlvect_1(U_5785)
| ~ sP1062(U_5784,U_5785) ),
inference(clausify,[status(thm)],[f_2231_3]) ).
cnf(f_2231_6,plain,
( k2_rlvect_1(U_5785,k5_rlvect_1(U_5785,U_5784),U_5784) = k1_rlvect_1(U_5785)
| ~ sP1062(U_5784,U_5785) ),
inference(clausify,[status(thm)],[f_2231_3]) ).
fof(f_2232_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_rlvect_1]) ).
fof(f_2232_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2232_1]) ).
cnf(f_2232_3,plain,
$true,
inference(clausify,[status(thm)],[f_2232_2]) ).
fof(f_2233_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_rlvect_1]) ).
fof(f_2233_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2233_1]) ).
cnf(f_2233_3,plain,
$true,
inference(clausify,[status(thm)],[f_2233_2]) ).
fof(f_2234_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = k5_rlvect_1(A,C)
| k2_rlvect_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_rlvect_1]) ).
fof(f_2234_2,plain,
! [U_5788] :
( ! [U_5787] :
( ! [U_5786] :
( U_5787 = k5_rlvect_1(U_5788,U_5786)
| k2_rlvect_1(U_5788,U_5787,U_5786) != k1_rlvect_1(U_5788)
| ~ m1_subset_1(U_5786,u1_struct_0(U_5788)) )
| ~ m1_subset_1(U_5787,u1_struct_0(U_5788)) )
| ~ l1_rlvect_1(U_5788)
| ~ v6_rlvect_1(U_5788)
| ~ v5_rlvect_1(U_5788)
| ~ v4_rlvect_1(U_5788)
| v3_struct_0(U_5788) ),
inference(variable_rename,[status(thm)],[f_2234_1]) ).
fof(f_2234_3,plain,
! [U_5788,U_5787,U_5786] :
( U_5787 = k5_rlvect_1(U_5788,U_5786)
| k2_rlvect_1(U_5788,U_5787,U_5786) != k1_rlvect_1(U_5788)
| ~ m1_subset_1(U_5786,u1_struct_0(U_5788))
| ~ m1_subset_1(U_5787,u1_struct_0(U_5788))
| ~ l1_rlvect_1(U_5788)
| ~ v6_rlvect_1(U_5788)
| ~ v5_rlvect_1(U_5788)
| ~ v4_rlvect_1(U_5788)
| v3_struct_0(U_5788) ),
inference(definitional_conversion,[status(esa)],[f_2234_2]) ).
cnf(f_2234_4,plain,
( U_5787 = k5_rlvect_1(U_5788,U_5786)
| k2_rlvect_1(U_5788,U_5787,U_5786) != k1_rlvect_1(U_5788)
| ~ m1_subset_1(U_5786,u1_struct_0(U_5788))
| ~ m1_subset_1(U_5787,u1_struct_0(U_5788))
| ~ l1_rlvect_1(U_5788)
| ~ v6_rlvect_1(U_5788)
| ~ v5_rlvect_1(U_5788)
| ~ v4_rlvect_1(U_5788)
| v3_struct_0(U_5788) ),
inference(clausify,[status(thm)],[f_2234_3]) ).
fof(f_2235_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( k2_rlvect_1(A,B,D) = C
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_rlvect_1]) ).
fof(f_2235_2,plain,
! [U_5792] :
( ! [U_5791] :
( ! [U_5790] :
( ? [U_5789] :
( k2_rlvect_1(U_5792,U_5791,U_5789) = U_5790
& m1_subset_1(U_5789,u1_struct_0(U_5792)) )
| ~ m1_subset_1(U_5790,u1_struct_0(U_5792)) )
| ~ m1_subset_1(U_5791,u1_struct_0(U_5792)) )
| ~ l1_rlvect_1(U_5792)
| ~ v6_rlvect_1(U_5792)
| ~ v5_rlvect_1(U_5792)
| ~ v4_rlvect_1(U_5792)
| v3_struct_0(U_5792) ),
inference(variable_rename,[status(thm)],[f_2235_1]) ).
fof(f_2235_3,plain,
! [U_5792] :
( ! [U_5791] :
( ! [U_5790] :
( ( k2_rlvect_1(U_5792,U_5791,sK753(U_5792,U_5791,U_5790)) = U_5790
& m1_subset_1(sK753(U_5792,U_5791,U_5790),u1_struct_0(U_5792)) )
| ~ m1_subset_1(U_5790,u1_struct_0(U_5792)) )
| ~ m1_subset_1(U_5791,u1_struct_0(U_5792)) )
| ~ l1_rlvect_1(U_5792)
| ~ v6_rlvect_1(U_5792)
| ~ v5_rlvect_1(U_5792)
| ~ v4_rlvect_1(U_5792)
| v3_struct_0(U_5792) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK753]),skolemize(U_5789,sK753(U_5792,U_5791,U_5790))],[f_2235_2]) ).
fof(f_2235_4,plain,
( ! [U_5790,U_5792,U_5791] :
( k2_rlvect_1(U_5792,U_5791,sK753(U_5792,U_5791,U_5790)) = U_5790
| ~ sP1063(U_5790,U_5792,U_5791) )
& ! [U_5790,U_5792,U_5791] :
( m1_subset_1(sK753(U_5792,U_5791,U_5790),u1_struct_0(U_5792))
| ~ sP1063(U_5790,U_5792,U_5791) )
& ! [U_5790,U_5792,U_5791] :
( sP1063(U_5790,U_5792,U_5791)
| ~ m1_subset_1(U_5790,u1_struct_0(U_5792))
| ~ m1_subset_1(U_5791,u1_struct_0(U_5792))
| ~ l1_rlvect_1(U_5792)
| ~ v6_rlvect_1(U_5792)
| ~ v5_rlvect_1(U_5792)
| ~ v4_rlvect_1(U_5792)
| v3_struct_0(U_5792) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1063])],[f_2235_3]) ).
cnf(f_2235_5,plain,
( sP1063(U_5790,U_5792,U_5791)
| ~ m1_subset_1(U_5790,u1_struct_0(U_5792))
| ~ m1_subset_1(U_5791,u1_struct_0(U_5792))
| ~ l1_rlvect_1(U_5792)
| ~ v6_rlvect_1(U_5792)
| ~ v5_rlvect_1(U_5792)
| ~ v4_rlvect_1(U_5792)
| v3_struct_0(U_5792) ),
inference(clausify,[status(thm)],[f_2235_4]) ).
cnf(f_2235_6,plain,
( m1_subset_1(sK753(U_5792,U_5791,U_5790),u1_struct_0(U_5792))
| ~ sP1063(U_5790,U_5792,U_5791) ),
inference(clausify,[status(thm)],[f_2235_4]) ).
cnf(f_2235_7,plain,
( k2_rlvect_1(U_5792,U_5791,sK753(U_5792,U_5791,U_5790)) = U_5790
| ~ sP1063(U_5790,U_5792,U_5791) ),
inference(clausify,[status(thm)],[f_2235_4]) ).
fof(f_2236_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( D = E
| ( k2_rlvect_1(A,D,B) != k2_rlvect_1(A,E,B)
& k2_rlvect_1(A,B,D) != k2_rlvect_1(A,B,E) )
| ~ m1_subset_1(E,u1_struct_0(A)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t21_rlvect_1]) ).
fof(f_2236_2,plain,
! [U_5797] :
( ! [U_5796] :
( ! [U_5795] :
( ! [U_5794] :
( ! [U_5793] :
( U_5794 = U_5793
| ( k2_rlvect_1(U_5797,U_5794,U_5796) != k2_rlvect_1(U_5797,U_5793,U_5796)
& k2_rlvect_1(U_5797,U_5796,U_5794) != k2_rlvect_1(U_5797,U_5796,U_5793) )
| ~ m1_subset_1(U_5793,u1_struct_0(U_5797)) )
| ~ m1_subset_1(U_5794,u1_struct_0(U_5797)) )
| ~ m1_subset_1(U_5795,u1_struct_0(U_5797)) )
| ~ m1_subset_1(U_5796,u1_struct_0(U_5797)) )
| ~ l1_rlvect_1(U_5797)
| ~ v6_rlvect_1(U_5797)
| ~ v5_rlvect_1(U_5797)
| ~ v4_rlvect_1(U_5797)
| v3_struct_0(U_5797) ),
inference(variable_rename,[status(thm)],[f_2236_1]) ).
fof(f_2236_3,plain,
! [U_5797] :
( ! [U_5796] :
( ! [U_5795] : ~ m1_subset_1(U_5795,u1_struct_0(U_5797))
| ! [U_5794] :
( ! [U_5793] :
( U_5794 = U_5793
| ( k2_rlvect_1(U_5797,U_5794,U_5796) != k2_rlvect_1(U_5797,U_5793,U_5796)
& k2_rlvect_1(U_5797,U_5796,U_5794) != k2_rlvect_1(U_5797,U_5796,U_5793) )
| ~ m1_subset_1(U_5793,u1_struct_0(U_5797)) )
| ~ m1_subset_1(U_5794,u1_struct_0(U_5797)) )
| ~ m1_subset_1(U_5796,u1_struct_0(U_5797)) )
| ~ l1_rlvect_1(U_5797)
| ~ v6_rlvect_1(U_5797)
| ~ v5_rlvect_1(U_5797)
| ~ v4_rlvect_1(U_5797)
| v3_struct_0(U_5797) ),
inference(miniscope,[status(thm)],[f_2236_2]) ).
fof(f_2236_4,plain,
( ! [U_5797,U_5796,U_5794,U_5793] :
( k2_rlvect_1(U_5797,U_5794,U_5796) != k2_rlvect_1(U_5797,U_5793,U_5796)
| ~ sP1064(U_5797,U_5796,U_5794,U_5793) )
& ! [U_5797,U_5796,U_5794,U_5793] :
( k2_rlvect_1(U_5797,U_5796,U_5794) != k2_rlvect_1(U_5797,U_5796,U_5793)
| ~ sP1064(U_5797,U_5796,U_5794,U_5793) )
& ! [U_5795,U_5797,U_5796,U_5794,U_5793] :
( ~ m1_subset_1(U_5795,u1_struct_0(U_5797))
| U_5794 = U_5793
| sP1064(U_5797,U_5796,U_5794,U_5793)
| ~ m1_subset_1(U_5793,u1_struct_0(U_5797))
| ~ m1_subset_1(U_5794,u1_struct_0(U_5797))
| ~ m1_subset_1(U_5796,u1_struct_0(U_5797))
| ~ l1_rlvect_1(U_5797)
| ~ v6_rlvect_1(U_5797)
| ~ v5_rlvect_1(U_5797)
| ~ v4_rlvect_1(U_5797)
| v3_struct_0(U_5797) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1064])],[f_2236_3]) ).
cnf(f_2236_5,plain,
( ~ m1_subset_1(U_5795,u1_struct_0(U_5797))
| U_5794 = U_5793
| sP1064(U_5797,U_5796,U_5794,U_5793)
| ~ m1_subset_1(U_5793,u1_struct_0(U_5797))
| ~ m1_subset_1(U_5794,u1_struct_0(U_5797))
| ~ m1_subset_1(U_5796,u1_struct_0(U_5797))
| ~ l1_rlvect_1(U_5797)
| ~ v6_rlvect_1(U_5797)
| ~ v5_rlvect_1(U_5797)
| ~ v4_rlvect_1(U_5797)
| v3_struct_0(U_5797) ),
inference(clausify,[status(thm)],[f_2236_4]) ).
cnf(f_2236_6,plain,
( k2_rlvect_1(U_5797,U_5796,U_5794) != k2_rlvect_1(U_5797,U_5796,U_5793)
| ~ sP1064(U_5797,U_5796,U_5794,U_5793) ),
inference(clausify,[status(thm)],[f_2236_4]) ).
cnf(f_2236_7,plain,
( k2_rlvect_1(U_5797,U_5794,U_5796) != k2_rlvect_1(U_5797,U_5793,U_5796)
| ~ sP1064(U_5797,U_5796,U_5794,U_5793) ),
inference(clausify,[status(thm)],[f_2236_4]) ).
fof(f_2237_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k1_rlvect_1(A)
| ( k2_rlvect_1(A,C,B) != B
& k2_rlvect_1(A,B,C) != B )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_rlvect_1]) ).
fof(f_2237_2,plain,
! [U_5800] :
( ! [U_5799] :
( ! [U_5798] :
( U_5798 = k1_rlvect_1(U_5800)
| ( k2_rlvect_1(U_5800,U_5798,U_5799) != U_5799
& k2_rlvect_1(U_5800,U_5799,U_5798) != U_5799 )
| ~ m1_subset_1(U_5798,u1_struct_0(U_5800)) )
| ~ m1_subset_1(U_5799,u1_struct_0(U_5800)) )
| ~ l1_rlvect_1(U_5800)
| ~ v6_rlvect_1(U_5800)
| ~ v5_rlvect_1(U_5800)
| ~ v4_rlvect_1(U_5800)
| v3_struct_0(U_5800) ),
inference(variable_rename,[status(thm)],[f_2237_1]) ).
fof(f_2237_3,plain,
( ! [U_5800,U_5798,U_5799] :
( k2_rlvect_1(U_5800,U_5798,U_5799) != U_5799
| ~ sP1065(U_5800,U_5798,U_5799) )
& ! [U_5800,U_5798,U_5799] :
( k2_rlvect_1(U_5800,U_5799,U_5798) != U_5799
| ~ sP1065(U_5800,U_5798,U_5799) )
& ! [U_5800,U_5798,U_5799] :
( U_5798 = k1_rlvect_1(U_5800)
| sP1065(U_5800,U_5798,U_5799)
| ~ m1_subset_1(U_5798,u1_struct_0(U_5800))
| ~ m1_subset_1(U_5799,u1_struct_0(U_5800))
| ~ l1_rlvect_1(U_5800)
| ~ v6_rlvect_1(U_5800)
| ~ v5_rlvect_1(U_5800)
| ~ v4_rlvect_1(U_5800)
| v3_struct_0(U_5800) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1065])],[f_2237_2]) ).
cnf(f_2237_4,plain,
( U_5798 = k1_rlvect_1(U_5800)
| sP1065(U_5800,U_5798,U_5799)
| ~ m1_subset_1(U_5798,u1_struct_0(U_5800))
| ~ m1_subset_1(U_5799,u1_struct_0(U_5800))
| ~ l1_rlvect_1(U_5800)
| ~ v6_rlvect_1(U_5800)
| ~ v5_rlvect_1(U_5800)
| ~ v4_rlvect_1(U_5800)
| v3_struct_0(U_5800) ),
inference(clausify,[status(thm)],[f_2237_3]) ).
cnf(f_2237_5,plain,
( k2_rlvect_1(U_5800,U_5799,U_5798) != U_5799
| ~ sP1065(U_5800,U_5798,U_5799) ),
inference(clausify,[status(thm)],[f_2237_3]) ).
cnf(f_2237_6,plain,
( k2_rlvect_1(U_5800,U_5798,U_5799) != U_5799
| ~ sP1065(U_5800,U_5798,U_5799) ),
inference(clausify,[status(thm)],[f_2237_3]) ).
fof(f_2238_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlvect_1(B,C,A) = k1_rlvect_1(B)
| ( C != k1_rlvect_1(B)
& A != np__0 )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t23_rlvect_1]) ).
fof(f_2238_2,plain,
! [U_5803] :
( ! [U_5802] :
( ! [U_5801] :
( k3_rlvect_1(U_5802,U_5801,U_5803) = k1_rlvect_1(U_5802)
| ( U_5801 != k1_rlvect_1(U_5802)
& U_5803 != np__0 )
| ~ m1_subset_1(U_5801,u1_struct_0(U_5802)) )
| ~ l2_rlvect_1(U_5802)
| ~ v7_rlvect_1(U_5802)
| ~ v6_rlvect_1(U_5802)
| ~ v5_rlvect_1(U_5802)
| ~ v4_rlvect_1(U_5802)
| ~ v3_rlvect_1(U_5802)
| v3_struct_0(U_5802) )
| ~ m1_subset_1(U_5803,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2238_1]) ).
fof(f_2238_3,plain,
( ! [U_5803,U_5802,U_5801] :
( U_5801 != k1_rlvect_1(U_5802)
| ~ sP1066(U_5803,U_5802,U_5801) )
& ! [U_5803,U_5802,U_5801] :
( U_5803 != np__0
| ~ sP1066(U_5803,U_5802,U_5801) )
& ! [U_5803,U_5802,U_5801] :
( k3_rlvect_1(U_5802,U_5801,U_5803) = k1_rlvect_1(U_5802)
| sP1066(U_5803,U_5802,U_5801)
| ~ m1_subset_1(U_5801,u1_struct_0(U_5802))
| ~ l2_rlvect_1(U_5802)
| ~ v7_rlvect_1(U_5802)
| ~ v6_rlvect_1(U_5802)
| ~ v5_rlvect_1(U_5802)
| ~ v4_rlvect_1(U_5802)
| ~ v3_rlvect_1(U_5802)
| v3_struct_0(U_5802)
| ~ m1_subset_1(U_5803,k1_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1066])],[f_2238_2]) ).
cnf(f_2238_4,plain,
( k3_rlvect_1(U_5802,U_5801,U_5803) = k1_rlvect_1(U_5802)
| sP1066(U_5803,U_5802,U_5801)
| ~ m1_subset_1(U_5801,u1_struct_0(U_5802))
| ~ l2_rlvect_1(U_5802)
| ~ v7_rlvect_1(U_5802)
| ~ v6_rlvect_1(U_5802)
| ~ v5_rlvect_1(U_5802)
| ~ v4_rlvect_1(U_5802)
| ~ v3_rlvect_1(U_5802)
| v3_struct_0(U_5802)
| ~ m1_subset_1(U_5803,k1_numbers) ),
inference(clausify,[status(thm)],[f_2238_3]) ).
cnf(f_2238_5,plain,
( U_5803 != np__0
| ~ sP1066(U_5803,U_5802,U_5801) ),
inference(clausify,[status(thm)],[f_2238_3]) ).
cnf(f_2238_6,plain,
( U_5801 != k1_rlvect_1(U_5802)
| ~ sP1066(U_5803,U_5802,U_5801) ),
inference(clausify,[status(thm)],[f_2238_3]) ).
fof(f_2239_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k1_rlvect_1(B)
| A = np__0
| k3_rlvect_1(B,C,A) != k1_rlvect_1(B)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t24_rlvect_1]) ).
fof(f_2239_2,plain,
! [U_5806] :
( ! [U_5805] :
( ! [U_5804] :
( U_5804 = k1_rlvect_1(U_5805)
| U_5806 = np__0
| k3_rlvect_1(U_5805,U_5804,U_5806) != k1_rlvect_1(U_5805)
| ~ m1_subset_1(U_5804,u1_struct_0(U_5805)) )
| ~ l2_rlvect_1(U_5805)
| ~ v7_rlvect_1(U_5805)
| ~ v6_rlvect_1(U_5805)
| ~ v5_rlvect_1(U_5805)
| ~ v4_rlvect_1(U_5805)
| ~ v3_rlvect_1(U_5805)
| v3_struct_0(U_5805) )
| ~ m1_subset_1(U_5806,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2239_1]) ).
fof(f_2239_3,plain,
! [U_5805,U_5804,U_5806] :
( U_5804 = k1_rlvect_1(U_5805)
| U_5806 = np__0
| k3_rlvect_1(U_5805,U_5804,U_5806) != k1_rlvect_1(U_5805)
| ~ m1_subset_1(U_5804,u1_struct_0(U_5805))
| ~ l2_rlvect_1(U_5805)
| ~ v7_rlvect_1(U_5805)
| ~ v6_rlvect_1(U_5805)
| ~ v5_rlvect_1(U_5805)
| ~ v4_rlvect_1(U_5805)
| ~ v3_rlvect_1(U_5805)
| v3_struct_0(U_5805)
| ~ m1_subset_1(U_5806,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2239_2]) ).
cnf(f_2239_4,plain,
( U_5804 = k1_rlvect_1(U_5805)
| U_5806 = np__0
| k3_rlvect_1(U_5805,U_5804,U_5806) != k1_rlvect_1(U_5805)
| ~ m1_subset_1(U_5804,u1_struct_0(U_5805))
| ~ l2_rlvect_1(U_5805)
| ~ v7_rlvect_1(U_5805)
| ~ v6_rlvect_1(U_5805)
| ~ v5_rlvect_1(U_5805)
| ~ v4_rlvect_1(U_5805)
| ~ v3_rlvect_1(U_5805)
| v3_struct_0(U_5805)
| ~ m1_subset_1(U_5806,k1_numbers) ),
inference(clausify,[status(thm)],[f_2239_3]) ).
fof(f_2240_1,plain,
! [A] :
( k5_rlvect_1(A,k1_rlvect_1(A)) = k1_rlvect_1(A)
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_rlvect_1]) ).
fof(f_2240_2,plain,
! [U_5807] :
( k5_rlvect_1(U_5807,k1_rlvect_1(U_5807)) = k1_rlvect_1(U_5807)
| ~ l1_rlvect_1(U_5807)
| ~ v6_rlvect_1(U_5807)
| ~ v5_rlvect_1(U_5807)
| ~ v4_rlvect_1(U_5807)
| v3_struct_0(U_5807) ),
inference(variable_rename,[status(thm)],[f_2240_1]) ).
fof(f_2240_3,plain,
! [U_5807] :
( k5_rlvect_1(U_5807,k1_rlvect_1(U_5807)) = k1_rlvect_1(U_5807)
| ~ l1_rlvect_1(U_5807)
| ~ v6_rlvect_1(U_5807)
| ~ v5_rlvect_1(U_5807)
| ~ v4_rlvect_1(U_5807)
| v3_struct_0(U_5807) ),
inference(definitional_conversion,[status(esa)],[f_2240_2]) ).
cnf(f_2240_4,plain,
( k5_rlvect_1(U_5807,k1_rlvect_1(U_5807)) = k1_rlvect_1(U_5807)
| ~ l1_rlvect_1(U_5807)
| ~ v6_rlvect_1(U_5807)
| ~ v5_rlvect_1(U_5807)
| ~ v4_rlvect_1(U_5807)
| v3_struct_0(U_5807) ),
inference(clausify,[status(thm)],[f_2240_3]) ).
fof(f_2241_1,plain,
! [A] :
( ! [B] :
( k6_rlvect_1(A,B,k1_rlvect_1(A)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t26_rlvect_1]) ).
fof(f_2241_2,plain,
! [U_5809] :
( ! [U_5808] :
( k6_rlvect_1(U_5809,U_5808,k1_rlvect_1(U_5809)) = U_5808
| ~ m1_subset_1(U_5808,u1_struct_0(U_5809)) )
| ~ l1_rlvect_1(U_5809)
| ~ v6_rlvect_1(U_5809)
| ~ v5_rlvect_1(U_5809)
| ~ v4_rlvect_1(U_5809)
| v3_struct_0(U_5809) ),
inference(variable_rename,[status(thm)],[f_2241_1]) ).
fof(f_2241_3,plain,
! [U_5808,U_5809] :
( k6_rlvect_1(U_5809,U_5808,k1_rlvect_1(U_5809)) = U_5808
| ~ m1_subset_1(U_5808,u1_struct_0(U_5809))
| ~ l1_rlvect_1(U_5809)
| ~ v6_rlvect_1(U_5809)
| ~ v5_rlvect_1(U_5809)
| ~ v4_rlvect_1(U_5809)
| v3_struct_0(U_5809) ),
inference(definitional_conversion,[status(esa)],[f_2241_2]) ).
cnf(f_2241_4,plain,
( k6_rlvect_1(U_5809,U_5808,k1_rlvect_1(U_5809)) = U_5808
| ~ m1_subset_1(U_5808,u1_struct_0(U_5809))
| ~ l1_rlvect_1(U_5809)
| ~ v6_rlvect_1(U_5809)
| ~ v5_rlvect_1(U_5809)
| ~ v4_rlvect_1(U_5809)
| v3_struct_0(U_5809) ),
inference(clausify,[status(thm)],[f_2241_3]) ).
fof(f_2242_1,plain,
! [A] :
( ! [B] :
( k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t27_rlvect_1]) ).
fof(f_2242_2,plain,
! [U_5811] :
( ! [U_5810] :
( k6_rlvect_1(U_5811,k1_rlvect_1(U_5811),U_5810) = k5_rlvect_1(U_5811,U_5810)
| ~ m1_subset_1(U_5810,u1_struct_0(U_5811)) )
| ~ l1_rlvect_1(U_5811)
| ~ v6_rlvect_1(U_5811)
| ~ v5_rlvect_1(U_5811)
| ~ v4_rlvect_1(U_5811)
| v3_struct_0(U_5811) ),
inference(variable_rename,[status(thm)],[f_2242_1]) ).
fof(f_2242_3,plain,
! [U_5811,U_5810] :
( k6_rlvect_1(U_5811,k1_rlvect_1(U_5811),U_5810) = k5_rlvect_1(U_5811,U_5810)
| ~ m1_subset_1(U_5810,u1_struct_0(U_5811))
| ~ l1_rlvect_1(U_5811)
| ~ v6_rlvect_1(U_5811)
| ~ v5_rlvect_1(U_5811)
| ~ v4_rlvect_1(U_5811)
| v3_struct_0(U_5811) ),
inference(definitional_conversion,[status(esa)],[f_2242_2]) ).
cnf(f_2242_4,plain,
( k6_rlvect_1(U_5811,k1_rlvect_1(U_5811),U_5810) = k5_rlvect_1(U_5811,U_5810)
| ~ m1_subset_1(U_5810,u1_struct_0(U_5811))
| ~ l1_rlvect_1(U_5811)
| ~ v6_rlvect_1(U_5811)
| ~ v5_rlvect_1(U_5811)
| ~ v4_rlvect_1(U_5811)
| v3_struct_0(U_5811) ),
inference(clausify,[status(thm)],[f_2242_3]) ).
fof(f_2243_1,plain,
! [A] :
( ! [B] :
( k6_rlvect_1(A,B,B) = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_rlvect_1]) ).
fof(f_2243_2,plain,
! [U_5813] :
( ! [U_5812] :
( k6_rlvect_1(U_5813,U_5812,U_5812) = k1_rlvect_1(U_5813)
| ~ m1_subset_1(U_5812,u1_struct_0(U_5813)) )
| ~ l1_rlvect_1(U_5813)
| ~ v6_rlvect_1(U_5813)
| ~ v5_rlvect_1(U_5813)
| ~ v4_rlvect_1(U_5813)
| v3_struct_0(U_5813) ),
inference(variable_rename,[status(thm)],[f_2243_1]) ).
fof(f_2243_3,plain,
! [U_5812,U_5813] :
( k6_rlvect_1(U_5813,U_5812,U_5812) = k1_rlvect_1(U_5813)
| ~ m1_subset_1(U_5812,u1_struct_0(U_5813))
| ~ l1_rlvect_1(U_5813)
| ~ v6_rlvect_1(U_5813)
| ~ v5_rlvect_1(U_5813)
| ~ v4_rlvect_1(U_5813)
| v3_struct_0(U_5813) ),
inference(definitional_conversion,[status(esa)],[f_2243_2]) ).
cnf(f_2243_4,plain,
( k6_rlvect_1(U_5813,U_5812,U_5812) = k1_rlvect_1(U_5813)
| ~ m1_subset_1(U_5812,u1_struct_0(U_5813))
| ~ l1_rlvect_1(U_5813)
| ~ v6_rlvect_1(U_5813)
| ~ v5_rlvect_1(U_5813)
| ~ v4_rlvect_1(U_5813)
| v3_struct_0(U_5813) ),
inference(clausify,[status(thm)],[f_2243_3]) ).
fof(f_2244_1,plain,
! [A] :
( ! [B] :
( k5_rlvect_1(A,B) = k3_rlvect_1(A,B,k1_real_1(np__1))
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t29_rlvect_1]) ).
fof(f_2244_2,plain,
! [U_5815] :
( ! [U_5814] :
( k5_rlvect_1(U_5815,U_5814) = k3_rlvect_1(U_5815,U_5814,k1_real_1(np__1))
| ~ m1_subset_1(U_5814,u1_struct_0(U_5815)) )
| ~ l2_rlvect_1(U_5815)
| ~ v7_rlvect_1(U_5815)
| ~ v6_rlvect_1(U_5815)
| ~ v5_rlvect_1(U_5815)
| ~ v4_rlvect_1(U_5815)
| ~ v3_rlvect_1(U_5815)
| v3_struct_0(U_5815) ),
inference(variable_rename,[status(thm)],[f_2244_1]) ).
fof(f_2244_3,plain,
! [U_5814,U_5815] :
( k5_rlvect_1(U_5815,U_5814) = k3_rlvect_1(U_5815,U_5814,k1_real_1(np__1))
| ~ m1_subset_1(U_5814,u1_struct_0(U_5815))
| ~ l2_rlvect_1(U_5815)
| ~ v7_rlvect_1(U_5815)
| ~ v6_rlvect_1(U_5815)
| ~ v5_rlvect_1(U_5815)
| ~ v4_rlvect_1(U_5815)
| ~ v3_rlvect_1(U_5815)
| v3_struct_0(U_5815) ),
inference(definitional_conversion,[status(esa)],[f_2244_2]) ).
cnf(f_2244_4,plain,
( k5_rlvect_1(U_5815,U_5814) = k3_rlvect_1(U_5815,U_5814,k1_real_1(np__1))
| ~ m1_subset_1(U_5814,u1_struct_0(U_5815))
| ~ l2_rlvect_1(U_5815)
| ~ v7_rlvect_1(U_5815)
| ~ v6_rlvect_1(U_5815)
| ~ v5_rlvect_1(U_5815)
| ~ v4_rlvect_1(U_5815)
| ~ v3_rlvect_1(U_5815)
| v3_struct_0(U_5815) ),
inference(clausify,[status(thm)],[f_2244_3]) ).
fof(f_2245_1,plain,
! [A] :
( ! [B] :
( k5_rlvect_1(A,k5_rlvect_1(A,B)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t30_rlvect_1]) ).
fof(f_2245_2,plain,
! [U_5817] :
( ! [U_5816] :
( k5_rlvect_1(U_5817,k5_rlvect_1(U_5817,U_5816)) = U_5816
| ~ m1_subset_1(U_5816,u1_struct_0(U_5817)) )
| ~ l1_rlvect_1(U_5817)
| ~ v6_rlvect_1(U_5817)
| ~ v5_rlvect_1(U_5817)
| ~ v4_rlvect_1(U_5817)
| v3_struct_0(U_5817) ),
inference(variable_rename,[status(thm)],[f_2245_1]) ).
fof(f_2245_3,plain,
! [U_5816,U_5817] :
( k5_rlvect_1(U_5817,k5_rlvect_1(U_5817,U_5816)) = U_5816
| ~ m1_subset_1(U_5816,u1_struct_0(U_5817))
| ~ l1_rlvect_1(U_5817)
| ~ v6_rlvect_1(U_5817)
| ~ v5_rlvect_1(U_5817)
| ~ v4_rlvect_1(U_5817)
| v3_struct_0(U_5817) ),
inference(definitional_conversion,[status(esa)],[f_2245_2]) ).
cnf(f_2245_4,plain,
( k5_rlvect_1(U_5817,k5_rlvect_1(U_5817,U_5816)) = U_5816
| ~ m1_subset_1(U_5816,u1_struct_0(U_5817))
| ~ l1_rlvect_1(U_5817)
| ~ v6_rlvect_1(U_5817)
| ~ v5_rlvect_1(U_5817)
| ~ v4_rlvect_1(U_5817)
| v3_struct_0(U_5817) ),
inference(clausify,[status(thm)],[f_2245_3]) ).
fof(f_2246_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| k5_rlvect_1(A,B) != k5_rlvect_1(A,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t31_rlvect_1]) ).
fof(f_2246_2,plain,
! [U_5820] :
( ! [U_5819] :
( ! [U_5818] :
( U_5819 = U_5818
| k5_rlvect_1(U_5820,U_5819) != k5_rlvect_1(U_5820,U_5818)
| ~ m1_subset_1(U_5818,u1_struct_0(U_5820)) )
| ~ m1_subset_1(U_5819,u1_struct_0(U_5820)) )
| ~ l1_rlvect_1(U_5820)
| ~ v6_rlvect_1(U_5820)
| ~ v5_rlvect_1(U_5820)
| ~ v4_rlvect_1(U_5820)
| v3_struct_0(U_5820) ),
inference(variable_rename,[status(thm)],[f_2246_1]) ).
fof(f_2246_3,plain,
! [U_5818,U_5819,U_5820] :
( U_5819 = U_5818
| k5_rlvect_1(U_5820,U_5819) != k5_rlvect_1(U_5820,U_5818)
| ~ m1_subset_1(U_5818,u1_struct_0(U_5820))
| ~ m1_subset_1(U_5819,u1_struct_0(U_5820))
| ~ l1_rlvect_1(U_5820)
| ~ v6_rlvect_1(U_5820)
| ~ v5_rlvect_1(U_5820)
| ~ v4_rlvect_1(U_5820)
| v3_struct_0(U_5820) ),
inference(definitional_conversion,[status(esa)],[f_2246_2]) ).
cnf(f_2246_4,plain,
( U_5819 = U_5818
| k5_rlvect_1(U_5820,U_5819) != k5_rlvect_1(U_5820,U_5818)
| ~ m1_subset_1(U_5818,u1_struct_0(U_5820))
| ~ m1_subset_1(U_5819,u1_struct_0(U_5820))
| ~ l1_rlvect_1(U_5820)
| ~ v6_rlvect_1(U_5820)
| ~ v5_rlvect_1(U_5820)
| ~ v4_rlvect_1(U_5820)
| v3_struct_0(U_5820) ),
inference(clausify,[status(thm)],[f_2246_3]) ).
fof(f_2247_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_rlvect_1]) ).
fof(f_2247_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2247_1]) ).
cnf(f_2247_3,plain,
$true,
inference(clausify,[status(thm)],[f_2247_2]) ).
fof(f_2248_1,plain,
! [A] :
( ! [B] :
( B = k1_rlvect_1(A)
| B != k5_rlvect_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_rlvect_1]) ).
fof(f_2248_2,plain,
! [U_5822] :
( ! [U_5821] :
( U_5821 = k1_rlvect_1(U_5822)
| U_5821 != k5_rlvect_1(U_5822,U_5821)
| ~ m1_subset_1(U_5821,u1_struct_0(U_5822)) )
| ~ l2_rlvect_1(U_5822)
| ~ v7_rlvect_1(U_5822)
| ~ v6_rlvect_1(U_5822)
| ~ v5_rlvect_1(U_5822)
| ~ v4_rlvect_1(U_5822)
| ~ v3_rlvect_1(U_5822)
| v3_struct_0(U_5822) ),
inference(variable_rename,[status(thm)],[f_2248_1]) ).
fof(f_2248_3,plain,
! [U_5821,U_5822] :
( U_5821 = k1_rlvect_1(U_5822)
| U_5821 != k5_rlvect_1(U_5822,U_5821)
| ~ m1_subset_1(U_5821,u1_struct_0(U_5822))
| ~ l2_rlvect_1(U_5822)
| ~ v7_rlvect_1(U_5822)
| ~ v6_rlvect_1(U_5822)
| ~ v5_rlvect_1(U_5822)
| ~ v4_rlvect_1(U_5822)
| ~ v3_rlvect_1(U_5822)
| v3_struct_0(U_5822) ),
inference(definitional_conversion,[status(esa)],[f_2248_2]) ).
cnf(f_2248_4,plain,
( U_5821 = k1_rlvect_1(U_5822)
| U_5821 != k5_rlvect_1(U_5822,U_5821)
| ~ m1_subset_1(U_5821,u1_struct_0(U_5822))
| ~ l2_rlvect_1(U_5822)
| ~ v7_rlvect_1(U_5822)
| ~ v6_rlvect_1(U_5822)
| ~ v5_rlvect_1(U_5822)
| ~ v4_rlvect_1(U_5822)
| ~ v3_rlvect_1(U_5822)
| v3_struct_0(U_5822) ),
inference(clausify,[status(thm)],[f_2248_3]) ).
fof(f_2249_1,plain,
! [A] :
( ! [B] :
( B = k1_rlvect_1(A)
| k4_rlvect_1(A,B,B) != k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_rlvect_1]) ).
fof(f_2249_2,plain,
! [U_5824] :
( ! [U_5823] :
( U_5823 = k1_rlvect_1(U_5824)
| k4_rlvect_1(U_5824,U_5823,U_5823) != k1_rlvect_1(U_5824)
| ~ m1_subset_1(U_5823,u1_struct_0(U_5824)) )
| ~ l2_rlvect_1(U_5824)
| ~ v7_rlvect_1(U_5824)
| ~ v6_rlvect_1(U_5824)
| ~ v5_rlvect_1(U_5824)
| ~ v4_rlvect_1(U_5824)
| ~ v3_rlvect_1(U_5824)
| v3_struct_0(U_5824) ),
inference(variable_rename,[status(thm)],[f_2249_1]) ).
fof(f_2249_3,plain,
! [U_5824,U_5823] :
( U_5823 = k1_rlvect_1(U_5824)
| k4_rlvect_1(U_5824,U_5823,U_5823) != k1_rlvect_1(U_5824)
| ~ m1_subset_1(U_5823,u1_struct_0(U_5824))
| ~ l2_rlvect_1(U_5824)
| ~ v7_rlvect_1(U_5824)
| ~ v6_rlvect_1(U_5824)
| ~ v5_rlvect_1(U_5824)
| ~ v4_rlvect_1(U_5824)
| ~ v3_rlvect_1(U_5824)
| v3_struct_0(U_5824) ),
inference(definitional_conversion,[status(esa)],[f_2249_2]) ).
cnf(f_2249_4,plain,
( U_5823 = k1_rlvect_1(U_5824)
| k4_rlvect_1(U_5824,U_5823,U_5823) != k1_rlvect_1(U_5824)
| ~ m1_subset_1(U_5823,u1_struct_0(U_5824))
| ~ l2_rlvect_1(U_5824)
| ~ v7_rlvect_1(U_5824)
| ~ v6_rlvect_1(U_5824)
| ~ v5_rlvect_1(U_5824)
| ~ v4_rlvect_1(U_5824)
| ~ v3_rlvect_1(U_5824)
| v3_struct_0(U_5824) ),
inference(clausify,[status(thm)],[f_2249_3]) ).
fof(f_2250_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| k6_rlvect_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_rlvect_1]) ).
fof(f_2250_2,plain,
! [U_5827] :
( ! [U_5826] :
( ! [U_5825] :
( U_5826 = U_5825
| k6_rlvect_1(U_5827,U_5826,U_5825) != k1_rlvect_1(U_5827)
| ~ m1_subset_1(U_5825,u1_struct_0(U_5827)) )
| ~ m1_subset_1(U_5826,u1_struct_0(U_5827)) )
| ~ l1_rlvect_1(U_5827)
| ~ v6_rlvect_1(U_5827)
| ~ v5_rlvect_1(U_5827)
| ~ v4_rlvect_1(U_5827)
| v3_struct_0(U_5827) ),
inference(variable_rename,[status(thm)],[f_2250_1]) ).
fof(f_2250_3,plain,
! [U_5826,U_5827,U_5825] :
( U_5826 = U_5825
| k6_rlvect_1(U_5827,U_5826,U_5825) != k1_rlvect_1(U_5827)
| ~ m1_subset_1(U_5825,u1_struct_0(U_5827))
| ~ m1_subset_1(U_5826,u1_struct_0(U_5827))
| ~ l1_rlvect_1(U_5827)
| ~ v6_rlvect_1(U_5827)
| ~ v5_rlvect_1(U_5827)
| ~ v4_rlvect_1(U_5827)
| v3_struct_0(U_5827) ),
inference(definitional_conversion,[status(esa)],[f_2250_2]) ).
cnf(f_2250_4,plain,
( U_5826 = U_5825
| k6_rlvect_1(U_5827,U_5826,U_5825) != k1_rlvect_1(U_5827)
| ~ m1_subset_1(U_5825,u1_struct_0(U_5827))
| ~ m1_subset_1(U_5826,u1_struct_0(U_5827))
| ~ l1_rlvect_1(U_5827)
| ~ v6_rlvect_1(U_5827)
| ~ v5_rlvect_1(U_5827)
| ~ v4_rlvect_1(U_5827)
| v3_struct_0(U_5827) ),
inference(clausify,[status(thm)],[f_2250_3]) ).
fof(f_2251_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( k6_rlvect_1(A,C,D) = B
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_rlvect_1]) ).
fof(f_2251_2,plain,
! [U_5831] :
( ! [U_5830] :
( ! [U_5829] :
( ? [U_5828] :
( k6_rlvect_1(U_5831,U_5829,U_5828) = U_5830
& m1_subset_1(U_5828,u1_struct_0(U_5831)) )
| ~ m1_subset_1(U_5829,u1_struct_0(U_5831)) )
| ~ m1_subset_1(U_5830,u1_struct_0(U_5831)) )
| ~ l1_rlvect_1(U_5831)
| ~ v6_rlvect_1(U_5831)
| ~ v5_rlvect_1(U_5831)
| ~ v4_rlvect_1(U_5831)
| v3_struct_0(U_5831) ),
inference(variable_rename,[status(thm)],[f_2251_1]) ).
fof(f_2251_3,plain,
! [U_5831] :
( ! [U_5830] :
( ! [U_5829] :
( ( k6_rlvect_1(U_5831,U_5829,sK754(U_5831,U_5830,U_5829)) = U_5830
& m1_subset_1(sK754(U_5831,U_5830,U_5829),u1_struct_0(U_5831)) )
| ~ m1_subset_1(U_5829,u1_struct_0(U_5831)) )
| ~ m1_subset_1(U_5830,u1_struct_0(U_5831)) )
| ~ l1_rlvect_1(U_5831)
| ~ v6_rlvect_1(U_5831)
| ~ v5_rlvect_1(U_5831)
| ~ v4_rlvect_1(U_5831)
| v3_struct_0(U_5831) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK754]),skolemize(U_5828,sK754(U_5831,U_5830,U_5829))],[f_2251_2]) ).
fof(f_2251_4,plain,
( ! [U_5830,U_5829,U_5831] :
( k6_rlvect_1(U_5831,U_5829,sK754(U_5831,U_5830,U_5829)) = U_5830
| ~ sP1067(U_5830,U_5829,U_5831) )
& ! [U_5830,U_5829,U_5831] :
( m1_subset_1(sK754(U_5831,U_5830,U_5829),u1_struct_0(U_5831))
| ~ sP1067(U_5830,U_5829,U_5831) )
& ! [U_5830,U_5829,U_5831] :
( sP1067(U_5830,U_5829,U_5831)
| ~ m1_subset_1(U_5829,u1_struct_0(U_5831))
| ~ m1_subset_1(U_5830,u1_struct_0(U_5831))
| ~ l1_rlvect_1(U_5831)
| ~ v6_rlvect_1(U_5831)
| ~ v5_rlvect_1(U_5831)
| ~ v4_rlvect_1(U_5831)
| v3_struct_0(U_5831) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1067])],[f_2251_3]) ).
cnf(f_2251_5,plain,
( sP1067(U_5830,U_5829,U_5831)
| ~ m1_subset_1(U_5829,u1_struct_0(U_5831))
| ~ m1_subset_1(U_5830,u1_struct_0(U_5831))
| ~ l1_rlvect_1(U_5831)
| ~ v6_rlvect_1(U_5831)
| ~ v5_rlvect_1(U_5831)
| ~ v4_rlvect_1(U_5831)
| v3_struct_0(U_5831) ),
inference(clausify,[status(thm)],[f_2251_4]) ).
cnf(f_2251_6,plain,
( m1_subset_1(sK754(U_5831,U_5830,U_5829),u1_struct_0(U_5831))
| ~ sP1067(U_5830,U_5829,U_5831) ),
inference(clausify,[status(thm)],[f_2251_4]) ).
cnf(f_2251_7,plain,
( k6_rlvect_1(U_5831,U_5829,sK754(U_5831,U_5830,U_5829)) = U_5830
| ~ sP1067(U_5830,U_5829,U_5831) ),
inference(clausify,[status(thm)],[f_2251_4]) ).
fof(f_2252_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| k6_rlvect_1(A,B,C) != k6_rlvect_1(A,B,D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_rlvect_1]) ).
fof(f_2252_2,plain,
! [U_5835] :
( ! [U_5834] :
( ! [U_5833] :
( ! [U_5832] :
( U_5833 = U_5832
| k6_rlvect_1(U_5835,U_5834,U_5833) != k6_rlvect_1(U_5835,U_5834,U_5832)
| ~ m1_subset_1(U_5832,u1_struct_0(U_5835)) )
| ~ m1_subset_1(U_5833,u1_struct_0(U_5835)) )
| ~ m1_subset_1(U_5834,u1_struct_0(U_5835)) )
| ~ l1_rlvect_1(U_5835)
| ~ v6_rlvect_1(U_5835)
| ~ v5_rlvect_1(U_5835)
| ~ v4_rlvect_1(U_5835)
| v3_struct_0(U_5835) ),
inference(variable_rename,[status(thm)],[f_2252_1]) ).
fof(f_2252_3,plain,
! [U_5833,U_5832,U_5834,U_5835] :
( U_5833 = U_5832
| k6_rlvect_1(U_5835,U_5834,U_5833) != k6_rlvect_1(U_5835,U_5834,U_5832)
| ~ m1_subset_1(U_5832,u1_struct_0(U_5835))
| ~ m1_subset_1(U_5833,u1_struct_0(U_5835))
| ~ m1_subset_1(U_5834,u1_struct_0(U_5835))
| ~ l1_rlvect_1(U_5835)
| ~ v6_rlvect_1(U_5835)
| ~ v5_rlvect_1(U_5835)
| ~ v4_rlvect_1(U_5835)
| v3_struct_0(U_5835) ),
inference(definitional_conversion,[status(esa)],[f_2252_2]) ).
cnf(f_2252_4,plain,
( U_5833 = U_5832
| k6_rlvect_1(U_5835,U_5834,U_5833) != k6_rlvect_1(U_5835,U_5834,U_5832)
| ~ m1_subset_1(U_5832,u1_struct_0(U_5835))
| ~ m1_subset_1(U_5833,u1_struct_0(U_5835))
| ~ m1_subset_1(U_5834,u1_struct_0(U_5835))
| ~ l1_rlvect_1(U_5835)
| ~ v6_rlvect_1(U_5835)
| ~ v5_rlvect_1(U_5835)
| ~ v4_rlvect_1(U_5835)
| v3_struct_0(U_5835) ),
inference(clausify,[status(thm)],[f_2252_3]) ).
fof(f_2253_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlvect_1(B,k5_rlvect_1(B,C),A) = k3_rlvect_1(B,C,k1_real_1(A))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t38_rlvect_1]) ).
fof(f_2253_2,plain,
! [U_5838] :
( ! [U_5837] :
( ! [U_5836] :
( k3_rlvect_1(U_5837,k5_rlvect_1(U_5837,U_5836),U_5838) = k3_rlvect_1(U_5837,U_5836,k1_real_1(U_5838))
| ~ m1_subset_1(U_5836,u1_struct_0(U_5837)) )
| ~ l2_rlvect_1(U_5837)
| ~ v7_rlvect_1(U_5837)
| ~ v6_rlvect_1(U_5837)
| ~ v5_rlvect_1(U_5837)
| ~ v4_rlvect_1(U_5837)
| ~ v3_rlvect_1(U_5837)
| v3_struct_0(U_5837) )
| ~ m1_subset_1(U_5838,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2253_1]) ).
fof(f_2253_3,plain,
! [U_5837,U_5836,U_5838] :
( k3_rlvect_1(U_5837,k5_rlvect_1(U_5837,U_5836),U_5838) = k3_rlvect_1(U_5837,U_5836,k1_real_1(U_5838))
| ~ m1_subset_1(U_5836,u1_struct_0(U_5837))
| ~ l2_rlvect_1(U_5837)
| ~ v7_rlvect_1(U_5837)
| ~ v6_rlvect_1(U_5837)
| ~ v5_rlvect_1(U_5837)
| ~ v4_rlvect_1(U_5837)
| ~ v3_rlvect_1(U_5837)
| v3_struct_0(U_5837)
| ~ m1_subset_1(U_5838,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2253_2]) ).
cnf(f_2253_4,plain,
( k3_rlvect_1(U_5837,k5_rlvect_1(U_5837,U_5836),U_5838) = k3_rlvect_1(U_5837,U_5836,k1_real_1(U_5838))
| ~ m1_subset_1(U_5836,u1_struct_0(U_5837))
| ~ l2_rlvect_1(U_5837)
| ~ v7_rlvect_1(U_5837)
| ~ v6_rlvect_1(U_5837)
| ~ v5_rlvect_1(U_5837)
| ~ v4_rlvect_1(U_5837)
| ~ v3_rlvect_1(U_5837)
| v3_struct_0(U_5837)
| ~ m1_subset_1(U_5838,k1_numbers) ),
inference(clausify,[status(thm)],[f_2253_3]) ).
fof(f_2254_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlvect_1(B,k5_rlvect_1(B,C),A) = k5_rlvect_1(B,k3_rlvect_1(B,C,A))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t39_rlvect_1]) ).
fof(f_2254_2,plain,
! [U_5841] :
( ! [U_5840] :
( ! [U_5839] :
( k3_rlvect_1(U_5840,k5_rlvect_1(U_5840,U_5839),U_5841) = k5_rlvect_1(U_5840,k3_rlvect_1(U_5840,U_5839,U_5841))
| ~ m1_subset_1(U_5839,u1_struct_0(U_5840)) )
| ~ l2_rlvect_1(U_5840)
| ~ v7_rlvect_1(U_5840)
| ~ v6_rlvect_1(U_5840)
| ~ v5_rlvect_1(U_5840)
| ~ v4_rlvect_1(U_5840)
| ~ v3_rlvect_1(U_5840)
| v3_struct_0(U_5840) )
| ~ m1_subset_1(U_5841,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2254_1]) ).
fof(f_2254_3,plain,
! [U_5841,U_5840,U_5839] :
( k3_rlvect_1(U_5840,k5_rlvect_1(U_5840,U_5839),U_5841) = k5_rlvect_1(U_5840,k3_rlvect_1(U_5840,U_5839,U_5841))
| ~ m1_subset_1(U_5839,u1_struct_0(U_5840))
| ~ l2_rlvect_1(U_5840)
| ~ v7_rlvect_1(U_5840)
| ~ v6_rlvect_1(U_5840)
| ~ v5_rlvect_1(U_5840)
| ~ v4_rlvect_1(U_5840)
| ~ v3_rlvect_1(U_5840)
| v3_struct_0(U_5840)
| ~ m1_subset_1(U_5841,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2254_2]) ).
cnf(f_2254_4,plain,
( k3_rlvect_1(U_5840,k5_rlvect_1(U_5840,U_5839),U_5841) = k5_rlvect_1(U_5840,k3_rlvect_1(U_5840,U_5839,U_5841))
| ~ m1_subset_1(U_5839,u1_struct_0(U_5840))
| ~ l2_rlvect_1(U_5840)
| ~ v7_rlvect_1(U_5840)
| ~ v6_rlvect_1(U_5840)
| ~ v5_rlvect_1(U_5840)
| ~ v4_rlvect_1(U_5840)
| ~ v3_rlvect_1(U_5840)
| v3_struct_0(U_5840)
| ~ m1_subset_1(U_5841,k1_numbers) ),
inference(clausify,[status(thm)],[f_2254_3]) ).
fof(f_2255_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlvect_1(B,k5_rlvect_1(B,C),k1_real_1(A)) = k3_rlvect_1(B,C,A)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t40_rlvect_1]) ).
fof(f_2255_2,plain,
! [U_5844] :
( ! [U_5843] :
( ! [U_5842] :
( k3_rlvect_1(U_5843,k5_rlvect_1(U_5843,U_5842),k1_real_1(U_5844)) = k3_rlvect_1(U_5843,U_5842,U_5844)
| ~ m1_subset_1(U_5842,u1_struct_0(U_5843)) )
| ~ l2_rlvect_1(U_5843)
| ~ v7_rlvect_1(U_5843)
| ~ v6_rlvect_1(U_5843)
| ~ v5_rlvect_1(U_5843)
| ~ v4_rlvect_1(U_5843)
| ~ v3_rlvect_1(U_5843)
| v3_struct_0(U_5843) )
| ~ m1_subset_1(U_5844,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2255_1]) ).
fof(f_2255_3,plain,
! [U_5842,U_5843,U_5844] :
( k3_rlvect_1(U_5843,k5_rlvect_1(U_5843,U_5842),k1_real_1(U_5844)) = k3_rlvect_1(U_5843,U_5842,U_5844)
| ~ m1_subset_1(U_5842,u1_struct_0(U_5843))
| ~ l2_rlvect_1(U_5843)
| ~ v7_rlvect_1(U_5843)
| ~ v6_rlvect_1(U_5843)
| ~ v5_rlvect_1(U_5843)
| ~ v4_rlvect_1(U_5843)
| ~ v3_rlvect_1(U_5843)
| v3_struct_0(U_5843)
| ~ m1_subset_1(U_5844,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2255_2]) ).
cnf(f_2255_4,plain,
( k3_rlvect_1(U_5843,k5_rlvect_1(U_5843,U_5842),k1_real_1(U_5844)) = k3_rlvect_1(U_5843,U_5842,U_5844)
| ~ m1_subset_1(U_5842,u1_struct_0(U_5843))
| ~ l2_rlvect_1(U_5843)
| ~ v7_rlvect_1(U_5843)
| ~ v6_rlvect_1(U_5843)
| ~ v5_rlvect_1(U_5843)
| ~ v4_rlvect_1(U_5843)
| ~ v3_rlvect_1(U_5843)
| v3_struct_0(U_5843)
| ~ m1_subset_1(U_5844,k1_numbers) ),
inference(clausify,[status(thm)],[f_2255_3]) ).
fof(f_2256_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_rlvect_1]) ).
fof(f_2256_2,plain,
! [U_5848] :
( ! [U_5847] :
( ! [U_5846] :
( ! [U_5845] :
( k6_rlvect_1(U_5848,U_5847,k2_rlvect_1(U_5848,U_5846,U_5845)) = k6_rlvect_1(U_5848,k6_rlvect_1(U_5848,U_5847,U_5845),U_5846)
| ~ m1_subset_1(U_5845,u1_struct_0(U_5848)) )
| ~ m1_subset_1(U_5846,u1_struct_0(U_5848)) )
| ~ m1_subset_1(U_5847,u1_struct_0(U_5848)) )
| ~ l1_rlvect_1(U_5848)
| ~ v6_rlvect_1(U_5848)
| ~ v5_rlvect_1(U_5848)
| ~ v4_rlvect_1(U_5848)
| v3_struct_0(U_5848) ),
inference(variable_rename,[status(thm)],[f_2256_1]) ).
fof(f_2256_3,plain,
! [U_5847,U_5848,U_5845,U_5846] :
( k6_rlvect_1(U_5848,U_5847,k2_rlvect_1(U_5848,U_5846,U_5845)) = k6_rlvect_1(U_5848,k6_rlvect_1(U_5848,U_5847,U_5845),U_5846)
| ~ m1_subset_1(U_5845,u1_struct_0(U_5848))
| ~ m1_subset_1(U_5846,u1_struct_0(U_5848))
| ~ m1_subset_1(U_5847,u1_struct_0(U_5848))
| ~ l1_rlvect_1(U_5848)
| ~ v6_rlvect_1(U_5848)
| ~ v5_rlvect_1(U_5848)
| ~ v4_rlvect_1(U_5848)
| v3_struct_0(U_5848) ),
inference(definitional_conversion,[status(esa)],[f_2256_2]) ).
cnf(f_2256_4,plain,
( k6_rlvect_1(U_5848,U_5847,k2_rlvect_1(U_5848,U_5846,U_5845)) = k6_rlvect_1(U_5848,k6_rlvect_1(U_5848,U_5847,U_5845),U_5846)
| ~ m1_subset_1(U_5845,u1_struct_0(U_5848))
| ~ m1_subset_1(U_5846,u1_struct_0(U_5848))
| ~ m1_subset_1(U_5847,u1_struct_0(U_5848))
| ~ l1_rlvect_1(U_5848)
| ~ v6_rlvect_1(U_5848)
| ~ v5_rlvect_1(U_5848)
| ~ v4_rlvect_1(U_5848)
| v3_struct_0(U_5848) ),
inference(clausify,[status(thm)],[f_2256_3]) ).
fof(f_2257_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k6_rlvect_1(A,C,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_rlvect_1]) ).
fof(f_2257_2,plain,
! [U_5852] :
( ! [U_5851] :
( ! [U_5850] :
( ! [U_5849] :
( k6_rlvect_1(U_5852,k2_rlvect_1(U_5852,U_5851,U_5850),U_5849) = k2_rlvect_1(U_5852,U_5851,k6_rlvect_1(U_5852,U_5850,U_5849))
| ~ m1_subset_1(U_5849,u1_struct_0(U_5852)) )
| ~ m1_subset_1(U_5850,u1_struct_0(U_5852)) )
| ~ m1_subset_1(U_5851,u1_struct_0(U_5852)) )
| ~ l1_rlvect_1(U_5852)
| ~ v4_rlvect_1(U_5852)
| v3_struct_0(U_5852) ),
inference(variable_rename,[status(thm)],[f_2257_1]) ).
fof(f_2257_3,plain,
! [U_5850,U_5849,U_5852,U_5851] :
( k6_rlvect_1(U_5852,k2_rlvect_1(U_5852,U_5851,U_5850),U_5849) = k2_rlvect_1(U_5852,U_5851,k6_rlvect_1(U_5852,U_5850,U_5849))
| ~ m1_subset_1(U_5849,u1_struct_0(U_5852))
| ~ m1_subset_1(U_5850,u1_struct_0(U_5852))
| ~ m1_subset_1(U_5851,u1_struct_0(U_5852))
| ~ l1_rlvect_1(U_5852)
| ~ v4_rlvect_1(U_5852)
| v3_struct_0(U_5852) ),
inference(definitional_conversion,[status(esa)],[f_2257_2]) ).
cnf(f_2257_4,plain,
( k6_rlvect_1(U_5852,k2_rlvect_1(U_5852,U_5851,U_5850),U_5849) = k2_rlvect_1(U_5852,U_5851,k6_rlvect_1(U_5852,U_5850,U_5849))
| ~ m1_subset_1(U_5849,u1_struct_0(U_5852))
| ~ m1_subset_1(U_5850,u1_struct_0(U_5852))
| ~ m1_subset_1(U_5851,u1_struct_0(U_5852))
| ~ l1_rlvect_1(U_5852)
| ~ v4_rlvect_1(U_5852)
| v3_struct_0(U_5852) ),
inference(clausify,[status(thm)],[f_2257_3]) ).
fof(f_2258_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_rlvect_1(A,B,k6_rlvect_1(A,C,D)) = k4_rlvect_1(A,k6_rlvect_1(A,B,C),D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_rlvect_1]) ).
fof(f_2258_2,plain,
! [U_5856] :
( ! [U_5855] :
( ! [U_5854] :
( ! [U_5853] :
( k6_rlvect_1(U_5856,U_5855,k6_rlvect_1(U_5856,U_5854,U_5853)) = k4_rlvect_1(U_5856,k6_rlvect_1(U_5856,U_5855,U_5854),U_5853)
| ~ m1_subset_1(U_5853,u1_struct_0(U_5856)) )
| ~ m1_subset_1(U_5854,u1_struct_0(U_5856)) )
| ~ m1_subset_1(U_5855,u1_struct_0(U_5856)) )
| ~ l1_rlvect_1(U_5856)
| ~ v6_rlvect_1(U_5856)
| ~ v5_rlvect_1(U_5856)
| ~ v4_rlvect_1(U_5856)
| ~ v3_rlvect_1(U_5856)
| v3_struct_0(U_5856) ),
inference(variable_rename,[status(thm)],[f_2258_1]) ).
fof(f_2258_3,plain,
! [U_5856,U_5855,U_5854,U_5853] :
( k6_rlvect_1(U_5856,U_5855,k6_rlvect_1(U_5856,U_5854,U_5853)) = k4_rlvect_1(U_5856,k6_rlvect_1(U_5856,U_5855,U_5854),U_5853)
| ~ m1_subset_1(U_5853,u1_struct_0(U_5856))
| ~ m1_subset_1(U_5854,u1_struct_0(U_5856))
| ~ m1_subset_1(U_5855,u1_struct_0(U_5856))
| ~ l1_rlvect_1(U_5856)
| ~ v6_rlvect_1(U_5856)
| ~ v5_rlvect_1(U_5856)
| ~ v4_rlvect_1(U_5856)
| ~ v3_rlvect_1(U_5856)
| v3_struct_0(U_5856) ),
inference(definitional_conversion,[status(esa)],[f_2258_2]) ).
cnf(f_2258_4,plain,
( k6_rlvect_1(U_5856,U_5855,k6_rlvect_1(U_5856,U_5854,U_5853)) = k4_rlvect_1(U_5856,k6_rlvect_1(U_5856,U_5855,U_5854),U_5853)
| ~ m1_subset_1(U_5853,u1_struct_0(U_5856))
| ~ m1_subset_1(U_5854,u1_struct_0(U_5856))
| ~ m1_subset_1(U_5855,u1_struct_0(U_5856))
| ~ l1_rlvect_1(U_5856)
| ~ v6_rlvect_1(U_5856)
| ~ v5_rlvect_1(U_5856)
| ~ v4_rlvect_1(U_5856)
| ~ v3_rlvect_1(U_5856)
| v3_struct_0(U_5856) ),
inference(clausify,[status(thm)],[f_2258_3]) ).
fof(f_2259_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rlvect_1(A,k2_rlvect_1(A,B,C)) = k6_rlvect_1(A,k5_rlvect_1(A,C),B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t44_rlvect_1]) ).
fof(f_2259_2,plain,
! [U_5859] :
( ! [U_5858] :
( ! [U_5857] :
( k5_rlvect_1(U_5859,k2_rlvect_1(U_5859,U_5858,U_5857)) = k6_rlvect_1(U_5859,k5_rlvect_1(U_5859,U_5857),U_5858)
| ~ m1_subset_1(U_5857,u1_struct_0(U_5859)) )
| ~ m1_subset_1(U_5858,u1_struct_0(U_5859)) )
| ~ l1_rlvect_1(U_5859)
| ~ v6_rlvect_1(U_5859)
| ~ v5_rlvect_1(U_5859)
| ~ v4_rlvect_1(U_5859)
| v3_struct_0(U_5859) ),
inference(variable_rename,[status(thm)],[f_2259_1]) ).
fof(f_2259_3,plain,
! [U_5859,U_5857,U_5858] :
( k5_rlvect_1(U_5859,k2_rlvect_1(U_5859,U_5858,U_5857)) = k6_rlvect_1(U_5859,k5_rlvect_1(U_5859,U_5857),U_5858)
| ~ m1_subset_1(U_5857,u1_struct_0(U_5859))
| ~ m1_subset_1(U_5858,u1_struct_0(U_5859))
| ~ l1_rlvect_1(U_5859)
| ~ v6_rlvect_1(U_5859)
| ~ v5_rlvect_1(U_5859)
| ~ v4_rlvect_1(U_5859)
| v3_struct_0(U_5859) ),
inference(definitional_conversion,[status(esa)],[f_2259_2]) ).
cnf(f_2259_4,plain,
( k5_rlvect_1(U_5859,k2_rlvect_1(U_5859,U_5858,U_5857)) = k6_rlvect_1(U_5859,k5_rlvect_1(U_5859,U_5857),U_5858)
| ~ m1_subset_1(U_5857,u1_struct_0(U_5859))
| ~ m1_subset_1(U_5858,u1_struct_0(U_5859))
| ~ l1_rlvect_1(U_5859)
| ~ v6_rlvect_1(U_5859)
| ~ v5_rlvect_1(U_5859)
| ~ v4_rlvect_1(U_5859)
| v3_struct_0(U_5859) ),
inference(clausify,[status(thm)],[f_2259_3]) ).
fof(f_2260_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rlvect_1(A,k2_rlvect_1(A,B,C)) = k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t45_rlvect_1]) ).
fof(f_2260_2,plain,
! [U_5862] :
( ! [U_5861] :
( ! [U_5860] :
( k5_rlvect_1(U_5862,k2_rlvect_1(U_5862,U_5861,U_5860)) = k2_rlvect_1(U_5862,k5_rlvect_1(U_5862,U_5860),k5_rlvect_1(U_5862,U_5861))
| ~ m1_subset_1(U_5860,u1_struct_0(U_5862)) )
| ~ m1_subset_1(U_5861,u1_struct_0(U_5862)) )
| ~ l1_rlvect_1(U_5862)
| ~ v6_rlvect_1(U_5862)
| ~ v5_rlvect_1(U_5862)
| ~ v4_rlvect_1(U_5862)
| v3_struct_0(U_5862) ),
inference(variable_rename,[status(thm)],[f_2260_1]) ).
fof(f_2260_3,plain,
! [U_5862,U_5860,U_5861] :
( k5_rlvect_1(U_5862,k2_rlvect_1(U_5862,U_5861,U_5860)) = k2_rlvect_1(U_5862,k5_rlvect_1(U_5862,U_5860),k5_rlvect_1(U_5862,U_5861))
| ~ m1_subset_1(U_5860,u1_struct_0(U_5862))
| ~ m1_subset_1(U_5861,u1_struct_0(U_5862))
| ~ l1_rlvect_1(U_5862)
| ~ v6_rlvect_1(U_5862)
| ~ v5_rlvect_1(U_5862)
| ~ v4_rlvect_1(U_5862)
| v3_struct_0(U_5862) ),
inference(definitional_conversion,[status(esa)],[f_2260_2]) ).
cnf(f_2260_4,plain,
( k5_rlvect_1(U_5862,k2_rlvect_1(U_5862,U_5861,U_5860)) = k2_rlvect_1(U_5862,k5_rlvect_1(U_5862,U_5860),k5_rlvect_1(U_5862,U_5861))
| ~ m1_subset_1(U_5860,u1_struct_0(U_5862))
| ~ m1_subset_1(U_5861,u1_struct_0(U_5862))
| ~ l1_rlvect_1(U_5862)
| ~ v6_rlvect_1(U_5862)
| ~ v5_rlvect_1(U_5862)
| ~ v4_rlvect_1(U_5862)
| v3_struct_0(U_5862) ),
inference(clausify,[status(thm)],[f_2260_3]) ).
fof(f_2261_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_1(A,k5_rlvect_1(A,B),C) = k6_rlvect_1(A,k5_rlvect_1(A,C),B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t46_rlvect_1]) ).
fof(f_2261_2,plain,
! [U_5865] :
( ! [U_5864] :
( ! [U_5863] :
( k6_rlvect_1(U_5865,k5_rlvect_1(U_5865,U_5864),U_5863) = k6_rlvect_1(U_5865,k5_rlvect_1(U_5865,U_5863),U_5864)
| ~ m1_subset_1(U_5863,u1_struct_0(U_5865)) )
| ~ m1_subset_1(U_5864,u1_struct_0(U_5865)) )
| ~ l1_rlvect_1(U_5865)
| ~ v6_rlvect_1(U_5865)
| ~ v5_rlvect_1(U_5865)
| ~ v4_rlvect_1(U_5865)
| ~ v3_rlvect_1(U_5865)
| v3_struct_0(U_5865) ),
inference(variable_rename,[status(thm)],[f_2261_1]) ).
fof(f_2261_3,plain,
! [U_5864,U_5863,U_5865] :
( k6_rlvect_1(U_5865,k5_rlvect_1(U_5865,U_5864),U_5863) = k6_rlvect_1(U_5865,k5_rlvect_1(U_5865,U_5863),U_5864)
| ~ m1_subset_1(U_5863,u1_struct_0(U_5865))
| ~ m1_subset_1(U_5864,u1_struct_0(U_5865))
| ~ l1_rlvect_1(U_5865)
| ~ v6_rlvect_1(U_5865)
| ~ v5_rlvect_1(U_5865)
| ~ v4_rlvect_1(U_5865)
| ~ v3_rlvect_1(U_5865)
| v3_struct_0(U_5865) ),
inference(definitional_conversion,[status(esa)],[f_2261_2]) ).
cnf(f_2261_4,plain,
( k6_rlvect_1(U_5865,k5_rlvect_1(U_5865,U_5864),U_5863) = k6_rlvect_1(U_5865,k5_rlvect_1(U_5865,U_5863),U_5864)
| ~ m1_subset_1(U_5863,u1_struct_0(U_5865))
| ~ m1_subset_1(U_5864,u1_struct_0(U_5865))
| ~ l1_rlvect_1(U_5865)
| ~ v6_rlvect_1(U_5865)
| ~ v5_rlvect_1(U_5865)
| ~ v4_rlvect_1(U_5865)
| ~ v3_rlvect_1(U_5865)
| v3_struct_0(U_5865) ),
inference(clausify,[status(thm)],[f_2261_3]) ).
fof(f_2262_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rlvect_1(A,k6_rlvect_1(A,B,C)) = k2_rlvect_1(A,C,k5_rlvect_1(A,B))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_rlvect_1]) ).
fof(f_2262_2,plain,
! [U_5868] :
( ! [U_5867] :
( ! [U_5866] :
( k5_rlvect_1(U_5868,k6_rlvect_1(U_5868,U_5867,U_5866)) = k2_rlvect_1(U_5868,U_5866,k5_rlvect_1(U_5868,U_5867))
| ~ m1_subset_1(U_5866,u1_struct_0(U_5868)) )
| ~ m1_subset_1(U_5867,u1_struct_0(U_5868)) )
| ~ l1_rlvect_1(U_5868)
| ~ v6_rlvect_1(U_5868)
| ~ v5_rlvect_1(U_5868)
| ~ v4_rlvect_1(U_5868)
| v3_struct_0(U_5868) ),
inference(variable_rename,[status(thm)],[f_2262_1]) ).
fof(f_2262_3,plain,
! [U_5866,U_5868,U_5867] :
( k5_rlvect_1(U_5868,k6_rlvect_1(U_5868,U_5867,U_5866)) = k2_rlvect_1(U_5868,U_5866,k5_rlvect_1(U_5868,U_5867))
| ~ m1_subset_1(U_5866,u1_struct_0(U_5868))
| ~ m1_subset_1(U_5867,u1_struct_0(U_5868))
| ~ l1_rlvect_1(U_5868)
| ~ v6_rlvect_1(U_5868)
| ~ v5_rlvect_1(U_5868)
| ~ v4_rlvect_1(U_5868)
| v3_struct_0(U_5868) ),
inference(definitional_conversion,[status(esa)],[f_2262_2]) ).
cnf(f_2262_4,plain,
( k5_rlvect_1(U_5868,k6_rlvect_1(U_5868,U_5867,U_5866)) = k2_rlvect_1(U_5868,U_5866,k5_rlvect_1(U_5868,U_5867))
| ~ m1_subset_1(U_5866,u1_struct_0(U_5868))
| ~ m1_subset_1(U_5867,u1_struct_0(U_5868))
| ~ l1_rlvect_1(U_5868)
| ~ v6_rlvect_1(U_5868)
| ~ v5_rlvect_1(U_5868)
| ~ v4_rlvect_1(U_5868)
| v3_struct_0(U_5868) ),
inference(clausify,[status(thm)],[f_2262_3]) ).
fof(f_2263_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k3_rlvect_1(B,k6_rlvect_1(B,C,D),A) = k6_rlvect_1(B,k3_rlvect_1(B,C,A),k3_rlvect_1(B,D,A))
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t48_rlvect_1]) ).
fof(f_2263_2,plain,
! [U_5872] :
( ! [U_5871] :
( ! [U_5870] :
( ! [U_5869] :
( k3_rlvect_1(U_5871,k6_rlvect_1(U_5871,U_5870,U_5869),U_5872) = k6_rlvect_1(U_5871,k3_rlvect_1(U_5871,U_5870,U_5872),k3_rlvect_1(U_5871,U_5869,U_5872))
| ~ m1_subset_1(U_5869,u1_struct_0(U_5871)) )
| ~ m1_subset_1(U_5870,u1_struct_0(U_5871)) )
| ~ l2_rlvect_1(U_5871)
| ~ v7_rlvect_1(U_5871)
| ~ v6_rlvect_1(U_5871)
| ~ v5_rlvect_1(U_5871)
| ~ v4_rlvect_1(U_5871)
| ~ v3_rlvect_1(U_5871)
| v3_struct_0(U_5871) )
| ~ m1_subset_1(U_5872,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2263_1]) ).
fof(f_2263_3,plain,
! [U_5869,U_5870,U_5871,U_5872] :
( k3_rlvect_1(U_5871,k6_rlvect_1(U_5871,U_5870,U_5869),U_5872) = k6_rlvect_1(U_5871,k3_rlvect_1(U_5871,U_5870,U_5872),k3_rlvect_1(U_5871,U_5869,U_5872))
| ~ m1_subset_1(U_5869,u1_struct_0(U_5871))
| ~ m1_subset_1(U_5870,u1_struct_0(U_5871))
| ~ l2_rlvect_1(U_5871)
| ~ v7_rlvect_1(U_5871)
| ~ v6_rlvect_1(U_5871)
| ~ v5_rlvect_1(U_5871)
| ~ v4_rlvect_1(U_5871)
| ~ v3_rlvect_1(U_5871)
| v3_struct_0(U_5871)
| ~ m1_subset_1(U_5872,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2263_2]) ).
cnf(f_2263_4,plain,
( k3_rlvect_1(U_5871,k6_rlvect_1(U_5871,U_5870,U_5869),U_5872) = k6_rlvect_1(U_5871,k3_rlvect_1(U_5871,U_5870,U_5872),k3_rlvect_1(U_5871,U_5869,U_5872))
| ~ m1_subset_1(U_5869,u1_struct_0(U_5871))
| ~ m1_subset_1(U_5870,u1_struct_0(U_5871))
| ~ l2_rlvect_1(U_5871)
| ~ v7_rlvect_1(U_5871)
| ~ v6_rlvect_1(U_5871)
| ~ v5_rlvect_1(U_5871)
| ~ v4_rlvect_1(U_5871)
| ~ v3_rlvect_1(U_5871)
| v3_struct_0(U_5871)
| ~ m1_subset_1(U_5872,k1_numbers) ),
inference(clausify,[status(thm)],[f_2263_3]) ).
fof(f_2264_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k3_rlvect_1(C,D,k5_real_1(A,B)) = k6_rlvect_1(C,k3_rlvect_1(C,D,A),k3_rlvect_1(C,D,B))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l2_rlvect_1(C)
| ~ v7_rlvect_1(C)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t49_rlvect_1]) ).
fof(f_2264_2,plain,
! [U_5876] :
( ! [U_5875] :
( ! [U_5874] :
( ! [U_5873] :
( k3_rlvect_1(U_5874,U_5873,k5_real_1(U_5876,U_5875)) = k6_rlvect_1(U_5874,k3_rlvect_1(U_5874,U_5873,U_5876),k3_rlvect_1(U_5874,U_5873,U_5875))
| ~ m1_subset_1(U_5873,u1_struct_0(U_5874)) )
| ~ l2_rlvect_1(U_5874)
| ~ v7_rlvect_1(U_5874)
| ~ v6_rlvect_1(U_5874)
| ~ v5_rlvect_1(U_5874)
| ~ v4_rlvect_1(U_5874)
| ~ v3_rlvect_1(U_5874)
| v3_struct_0(U_5874) )
| ~ m1_subset_1(U_5875,k1_numbers) )
| ~ m1_subset_1(U_5876,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2264_1]) ).
fof(f_2264_3,plain,
! [U_5875,U_5874,U_5873,U_5876] :
( k3_rlvect_1(U_5874,U_5873,k5_real_1(U_5876,U_5875)) = k6_rlvect_1(U_5874,k3_rlvect_1(U_5874,U_5873,U_5876),k3_rlvect_1(U_5874,U_5873,U_5875))
| ~ m1_subset_1(U_5873,u1_struct_0(U_5874))
| ~ l2_rlvect_1(U_5874)
| ~ v7_rlvect_1(U_5874)
| ~ v6_rlvect_1(U_5874)
| ~ v5_rlvect_1(U_5874)
| ~ v4_rlvect_1(U_5874)
| ~ v3_rlvect_1(U_5874)
| v3_struct_0(U_5874)
| ~ m1_subset_1(U_5875,k1_numbers)
| ~ m1_subset_1(U_5876,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2264_2]) ).
cnf(f_2264_4,plain,
( k3_rlvect_1(U_5874,U_5873,k5_real_1(U_5876,U_5875)) = k6_rlvect_1(U_5874,k3_rlvect_1(U_5874,U_5873,U_5876),k3_rlvect_1(U_5874,U_5873,U_5875))
| ~ m1_subset_1(U_5873,u1_struct_0(U_5874))
| ~ l2_rlvect_1(U_5874)
| ~ v7_rlvect_1(U_5874)
| ~ v6_rlvect_1(U_5874)
| ~ v5_rlvect_1(U_5874)
| ~ v4_rlvect_1(U_5874)
| ~ v3_rlvect_1(U_5874)
| v3_struct_0(U_5874)
| ~ m1_subset_1(U_5875,k1_numbers)
| ~ m1_subset_1(U_5876,k1_numbers) ),
inference(clausify,[status(thm)],[f_2264_3]) ).
fof(f_2265_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| A = np__0
| k3_rlvect_1(B,C,A) != k3_rlvect_1(B,D,A)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t50_rlvect_1]) ).
fof(f_2265_2,plain,
! [U_5880] :
( ! [U_5879] :
( ! [U_5878] :
( ! [U_5877] :
( U_5878 = U_5877
| U_5880 = np__0
| k3_rlvect_1(U_5879,U_5878,U_5880) != k3_rlvect_1(U_5879,U_5877,U_5880)
| ~ m1_subset_1(U_5877,u1_struct_0(U_5879)) )
| ~ m1_subset_1(U_5878,u1_struct_0(U_5879)) )
| ~ l2_rlvect_1(U_5879)
| ~ v7_rlvect_1(U_5879)
| ~ v6_rlvect_1(U_5879)
| ~ v5_rlvect_1(U_5879)
| ~ v4_rlvect_1(U_5879)
| ~ v3_rlvect_1(U_5879)
| v3_struct_0(U_5879) )
| ~ m1_subset_1(U_5880,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2265_1]) ).
fof(f_2265_3,plain,
! [U_5877,U_5878,U_5880,U_5879] :
( U_5878 = U_5877
| U_5880 = np__0
| k3_rlvect_1(U_5879,U_5878,U_5880) != k3_rlvect_1(U_5879,U_5877,U_5880)
| ~ m1_subset_1(U_5877,u1_struct_0(U_5879))
| ~ m1_subset_1(U_5878,u1_struct_0(U_5879))
| ~ l2_rlvect_1(U_5879)
| ~ v7_rlvect_1(U_5879)
| ~ v6_rlvect_1(U_5879)
| ~ v5_rlvect_1(U_5879)
| ~ v4_rlvect_1(U_5879)
| ~ v3_rlvect_1(U_5879)
| v3_struct_0(U_5879)
| ~ m1_subset_1(U_5880,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2265_2]) ).
cnf(f_2265_4,plain,
( U_5878 = U_5877
| U_5880 = np__0
| k3_rlvect_1(U_5879,U_5878,U_5880) != k3_rlvect_1(U_5879,U_5877,U_5880)
| ~ m1_subset_1(U_5877,u1_struct_0(U_5879))
| ~ m1_subset_1(U_5878,u1_struct_0(U_5879))
| ~ l2_rlvect_1(U_5879)
| ~ v7_rlvect_1(U_5879)
| ~ v6_rlvect_1(U_5879)
| ~ v5_rlvect_1(U_5879)
| ~ v4_rlvect_1(U_5879)
| ~ v3_rlvect_1(U_5879)
| v3_struct_0(U_5879)
| ~ m1_subset_1(U_5880,k1_numbers) ),
inference(clausify,[status(thm)],[f_2265_3]) ).
fof(f_2266_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( A = B
| D = k1_rlvect_1(C)
| k3_rlvect_1(C,D,A) != k3_rlvect_1(C,D,B)
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l2_rlvect_1(C)
| ~ v7_rlvect_1(C)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t51_rlvect_1]) ).
fof(f_2266_2,plain,
! [U_5884] :
( ! [U_5883] :
( ! [U_5882] :
( ! [U_5881] :
( U_5884 = U_5883
| U_5881 = k1_rlvect_1(U_5882)
| k3_rlvect_1(U_5882,U_5881,U_5884) != k3_rlvect_1(U_5882,U_5881,U_5883)
| ~ m1_subset_1(U_5881,u1_struct_0(U_5882)) )
| ~ l2_rlvect_1(U_5882)
| ~ v7_rlvect_1(U_5882)
| ~ v6_rlvect_1(U_5882)
| ~ v5_rlvect_1(U_5882)
| ~ v4_rlvect_1(U_5882)
| ~ v3_rlvect_1(U_5882)
| v3_struct_0(U_5882) )
| ~ m1_subset_1(U_5883,k1_numbers) )
| ~ m1_subset_1(U_5884,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2266_1]) ).
fof(f_2266_3,plain,
! [U_5881,U_5882,U_5884,U_5883] :
( U_5884 = U_5883
| U_5881 = k1_rlvect_1(U_5882)
| k3_rlvect_1(U_5882,U_5881,U_5884) != k3_rlvect_1(U_5882,U_5881,U_5883)
| ~ m1_subset_1(U_5881,u1_struct_0(U_5882))
| ~ l2_rlvect_1(U_5882)
| ~ v7_rlvect_1(U_5882)
| ~ v6_rlvect_1(U_5882)
| ~ v5_rlvect_1(U_5882)
| ~ v4_rlvect_1(U_5882)
| ~ v3_rlvect_1(U_5882)
| v3_struct_0(U_5882)
| ~ m1_subset_1(U_5883,k1_numbers)
| ~ m1_subset_1(U_5884,k1_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2266_2]) ).
cnf(f_2266_4,plain,
( U_5884 = U_5883
| U_5881 = k1_rlvect_1(U_5882)
| k3_rlvect_1(U_5882,U_5881,U_5884) != k3_rlvect_1(U_5882,U_5881,U_5883)
| ~ m1_subset_1(U_5881,u1_struct_0(U_5882))
| ~ l2_rlvect_1(U_5882)
| ~ v7_rlvect_1(U_5882)
| ~ v6_rlvect_1(U_5882)
| ~ v5_rlvect_1(U_5882)
| ~ v4_rlvect_1(U_5882)
| ~ v3_rlvect_1(U_5882)
| v3_struct_0(U_5882)
| ~ m1_subset_1(U_5883,k1_numbers)
| ~ m1_subset_1(U_5884,k1_numbers) ),
inference(clausify,[status(thm)],[f_2266_3]) ).
fof(f_2267_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k9_rlvect_1(A,B)
| ! [D] :
( ? [E] :
( ? [F] :
( k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) != k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F)
& ~ r1_xreal_0(k3_finseq_1(B),E)
& F = k1_funct_1(B,k1_nat_1(E,np__1))
& m1_subset_1(F,u1_struct_0(A)) )
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k8_funct_2(k5_numbers,u1_struct_0(A),D,np__0) != k1_rlvect_1(A)
| C != k8_funct_2(k5_numbers,u1_struct_0(A),D,k3_finseq_1(B))
| ~ m2_relset_1(D,k5_numbers,u1_struct_0(A))
| ~ v1_funct_2(D,k5_numbers,u1_struct_0(A))
| ~ v1_funct_1(D) ) )
& ( ? [D] :
( ! [E] :
( ! [F] :
( k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) = k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F)
| r1_xreal_0(k3_finseq_1(B),E)
| F != k1_funct_1(B,k1_nat_1(E,np__1))
| ~ m1_subset_1(F,u1_struct_0(A)) )
| ~ m2_subset_1(E,k1_numbers,k5_numbers) )
& k8_funct_2(k5_numbers,u1_struct_0(A),D,np__0) = k1_rlvect_1(A)
& C = k8_funct_2(k5_numbers,u1_struct_0(A),D,k3_finseq_1(B))
& m2_relset_1(D,k5_numbers,u1_struct_0(A))
& v1_funct_2(D,k5_numbers,u1_struct_0(A))
& v1_funct_1(D) )
| C != k9_rlvect_1(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d12_rlvect_1]) ).
fof(f_2267_2,plain,
! [U_5893] :
( ! [U_5892] :
( ! [U_5891] :
( ( ( U_5891 = k9_rlvect_1(U_5893,U_5892)
| ! [U_5890] :
( ? [U_5889] :
( ? [U_5888] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k1_nat_1(U_5889,np__1)) != k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,U_5889),U_5888)
& ~ r1_xreal_0(k3_finseq_1(U_5892),U_5889)
& U_5888 = k1_funct_1(U_5892,k1_nat_1(U_5889,np__1))
& m1_subset_1(U_5888,u1_struct_0(U_5893)) )
& m2_subset_1(U_5889,k1_numbers,k5_numbers) )
| k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,np__0) != k1_rlvect_1(U_5893)
| U_5891 != k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k3_finseq_1(U_5892))
| ~ m2_relset_1(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_2(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_1(U_5890) ) )
& ( ? [U_5887] :
( ! [U_5886] :
( ! [U_5885] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5887,k1_nat_1(U_5886,np__1)) = k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5887,U_5886),U_5885)
| r1_xreal_0(k3_finseq_1(U_5892),U_5886)
| U_5885 != k1_funct_1(U_5892,k1_nat_1(U_5886,np__1))
| ~ m1_subset_1(U_5885,u1_struct_0(U_5893)) )
| ~ m2_subset_1(U_5886,k1_numbers,k5_numbers) )
& k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5887,np__0) = k1_rlvect_1(U_5893)
& U_5891 = k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5887,k3_finseq_1(U_5892))
& m2_relset_1(U_5887,k5_numbers,u1_struct_0(U_5893))
& v1_funct_2(U_5887,k5_numbers,u1_struct_0(U_5893))
& v1_funct_1(U_5887) )
| U_5891 != k9_rlvect_1(U_5893,U_5892) ) )
| ~ m1_subset_1(U_5891,u1_struct_0(U_5893)) )
| ~ m2_finseq_1(U_5892,u1_struct_0(U_5893)) )
| ~ l1_rlvect_1(U_5893)
| v3_struct_0(U_5893) ),
inference(variable_rename,[status(thm)],[f_2267_1]) ).
fof(f_2267_3,plain,
! [U_5893] :
( ! [U_5892] :
( ! [U_5891] :
( ( ( U_5891 = k9_rlvect_1(U_5893,U_5892)
| ! [U_5890] :
( ? [U_5889] :
( ? [U_5888] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k1_nat_1(U_5889,np__1)) != k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,U_5889),U_5888)
& ~ r1_xreal_0(k3_finseq_1(U_5892),U_5889)
& U_5888 = k1_funct_1(U_5892,k1_nat_1(U_5889,np__1))
& m1_subset_1(U_5888,u1_struct_0(U_5893)) )
& m2_subset_1(U_5889,k1_numbers,k5_numbers) )
| k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,np__0) != k1_rlvect_1(U_5893)
| U_5891 != k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k3_finseq_1(U_5892))
| ~ m2_relset_1(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_2(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_1(U_5890) ) )
& ( ( ! [U_5886] :
( ! [U_5885] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k1_nat_1(U_5886,np__1)) = k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),U_5886),U_5885)
| r1_xreal_0(k3_finseq_1(U_5892),U_5886)
| U_5885 != k1_funct_1(U_5892,k1_nat_1(U_5886,np__1))
| ~ m1_subset_1(U_5885,u1_struct_0(U_5893)) )
| ~ m2_subset_1(U_5886,k1_numbers,k5_numbers) )
& k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),np__0) = k1_rlvect_1(U_5893)
& U_5891 = k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k3_finseq_1(U_5892))
& m2_relset_1(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
& v1_funct_2(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
& v1_funct_1(sK755(U_5893,U_5892,U_5891)) )
| U_5891 != k9_rlvect_1(U_5893,U_5892) ) )
| ~ m1_subset_1(U_5891,u1_struct_0(U_5893)) )
| ~ m2_finseq_1(U_5892,u1_struct_0(U_5893)) )
| ~ l1_rlvect_1(U_5893)
| v3_struct_0(U_5893) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK755]),skolemize(U_5887,sK755(U_5893,U_5892,U_5891))],[f_2267_2]) ).
fof(f_2267_4,plain,
! [U_5893] :
( ! [U_5892] :
( ! [U_5891] :
( ( ( U_5891 = k9_rlvect_1(U_5893,U_5892)
| ! [U_5890] :
( ( ? [U_5888] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1)) != k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,sK756(U_5893,U_5892,U_5891,U_5890)),U_5888)
& ~ r1_xreal_0(k3_finseq_1(U_5892),sK756(U_5893,U_5892,U_5891,U_5890))
& U_5888 = k1_funct_1(U_5892,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1))
& m1_subset_1(U_5888,u1_struct_0(U_5893)) )
& m2_subset_1(sK756(U_5893,U_5892,U_5891,U_5890),k1_numbers,k5_numbers) )
| k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,np__0) != k1_rlvect_1(U_5893)
| U_5891 != k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k3_finseq_1(U_5892))
| ~ m2_relset_1(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_2(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_1(U_5890) ) )
& ( ( ! [U_5886] :
( ! [U_5885] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k1_nat_1(U_5886,np__1)) = k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),U_5886),U_5885)
| r1_xreal_0(k3_finseq_1(U_5892),U_5886)
| U_5885 != k1_funct_1(U_5892,k1_nat_1(U_5886,np__1))
| ~ m1_subset_1(U_5885,u1_struct_0(U_5893)) )
| ~ m2_subset_1(U_5886,k1_numbers,k5_numbers) )
& k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),np__0) = k1_rlvect_1(U_5893)
& U_5891 = k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k3_finseq_1(U_5892))
& m2_relset_1(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
& v1_funct_2(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
& v1_funct_1(sK755(U_5893,U_5892,U_5891)) )
| U_5891 != k9_rlvect_1(U_5893,U_5892) ) )
| ~ m1_subset_1(U_5891,u1_struct_0(U_5893)) )
| ~ m2_finseq_1(U_5892,u1_struct_0(U_5893)) )
| ~ l1_rlvect_1(U_5893)
| v3_struct_0(U_5893) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK756]),skolemize(U_5889,sK756(U_5893,U_5892,U_5891,U_5890))],[f_2267_3]) ).
fof(f_2267_5,plain,
! [U_5893] :
( ! [U_5892] :
( ! [U_5891] :
( ( ( U_5891 = k9_rlvect_1(U_5893,U_5892)
| ! [U_5890] :
( ( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1)) != k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,sK756(U_5893,U_5892,U_5891,U_5890)),sK757(U_5893,U_5892,U_5891,U_5890))
& ~ r1_xreal_0(k3_finseq_1(U_5892),sK756(U_5893,U_5892,U_5891,U_5890))
& sK757(U_5893,U_5892,U_5891,U_5890) = k1_funct_1(U_5892,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1))
& m1_subset_1(sK757(U_5893,U_5892,U_5891,U_5890),u1_struct_0(U_5893))
& m2_subset_1(sK756(U_5893,U_5892,U_5891,U_5890),k1_numbers,k5_numbers) )
| k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,np__0) != k1_rlvect_1(U_5893)
| U_5891 != k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k3_finseq_1(U_5892))
| ~ m2_relset_1(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_2(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_1(U_5890) ) )
& ( ( ! [U_5886] :
( ! [U_5885] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k1_nat_1(U_5886,np__1)) = k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),U_5886),U_5885)
| r1_xreal_0(k3_finseq_1(U_5892),U_5886)
| U_5885 != k1_funct_1(U_5892,k1_nat_1(U_5886,np__1))
| ~ m1_subset_1(U_5885,u1_struct_0(U_5893)) )
| ~ m2_subset_1(U_5886,k1_numbers,k5_numbers) )
& k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),np__0) = k1_rlvect_1(U_5893)
& U_5891 = k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k3_finseq_1(U_5892))
& m2_relset_1(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
& v1_funct_2(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
& v1_funct_1(sK755(U_5893,U_5892,U_5891)) )
| U_5891 != k9_rlvect_1(U_5893,U_5892) ) )
| ~ m1_subset_1(U_5891,u1_struct_0(U_5893)) )
| ~ m2_finseq_1(U_5892,u1_struct_0(U_5893)) )
| ~ l1_rlvect_1(U_5893)
| v3_struct_0(U_5893) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK757]),skolemize(U_5888,sK757(U_5893,U_5892,U_5891,U_5890))],[f_2267_4]) ).
fof(f_2267_6,plain,
( ! [U_5893,U_5891,U_5892,U_5890] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1)) != k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,sK756(U_5893,U_5892,U_5891,U_5890)),sK757(U_5893,U_5892,U_5891,U_5890))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) )
& ! [U_5893,U_5891,U_5892,U_5890] :
( ~ r1_xreal_0(k3_finseq_1(U_5892),sK756(U_5893,U_5892,U_5891,U_5890))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) )
& ! [U_5893,U_5891,U_5892,U_5890] :
( sK757(U_5893,U_5892,U_5891,U_5890) = k1_funct_1(U_5892,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) )
& ! [U_5893,U_5891,U_5892,U_5890] :
( m1_subset_1(sK757(U_5893,U_5892,U_5891,U_5890),u1_struct_0(U_5893))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) )
& ! [U_5893,U_5891,U_5892,U_5890] :
( m2_subset_1(sK756(U_5893,U_5892,U_5891,U_5890),k1_numbers,k5_numbers)
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) )
& ! [U_5893,U_5891,U_5892,U_5885,U_5886] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k1_nat_1(U_5886,np__1)) = k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),U_5886),U_5885)
| r1_xreal_0(k3_finseq_1(U_5892),U_5886)
| U_5885 != k1_funct_1(U_5892,k1_nat_1(U_5886,np__1))
| ~ m1_subset_1(U_5885,u1_struct_0(U_5893))
| ~ m2_subset_1(U_5886,k1_numbers,k5_numbers)
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5885,U_5886] :
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),np__0) = k1_rlvect_1(U_5893)
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5885,U_5886] :
( U_5891 = k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k3_finseq_1(U_5892))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5885,U_5886] :
( m2_relset_1(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5885,U_5886] :
( v1_funct_2(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5885,U_5886] :
( v1_funct_1(sK755(U_5893,U_5892,U_5891))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5890,U_5885,U_5886] :
( U_5891 = k9_rlvect_1(U_5893,U_5892)
| sP1069(U_5893,U_5891,U_5892,U_5890)
| k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,np__0) != k1_rlvect_1(U_5893)
| U_5891 != k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k3_finseq_1(U_5892))
| ~ m2_relset_1(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_2(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_1(U_5890)
| ~ sP1070(U_5893,U_5891,U_5892,U_5890,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5890,U_5885,U_5886] :
( sP1068(U_5893,U_5891,U_5892,U_5885,U_5886)
| U_5891 != k9_rlvect_1(U_5893,U_5892)
| ~ sP1070(U_5893,U_5891,U_5892,U_5890,U_5885,U_5886) )
& ! [U_5893,U_5891,U_5892,U_5890,U_5885,U_5886] :
( sP1070(U_5893,U_5891,U_5892,U_5890,U_5885,U_5886)
| ~ m1_subset_1(U_5891,u1_struct_0(U_5893))
| ~ m2_finseq_1(U_5892,u1_struct_0(U_5893))
| ~ l1_rlvect_1(U_5893)
| v3_struct_0(U_5893) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1068,sP1069,sP1070])],[f_2267_5]) ).
cnf(f_2267_7,plain,
( sP1070(U_5893,U_5891,U_5892,U_5890,U_5885,U_5886)
| ~ m1_subset_1(U_5891,u1_struct_0(U_5893))
| ~ m2_finseq_1(U_5892,u1_struct_0(U_5893))
| ~ l1_rlvect_1(U_5893)
| v3_struct_0(U_5893) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_8,plain,
( sP1068(U_5893,U_5891,U_5892,U_5885,U_5886)
| U_5891 != k9_rlvect_1(U_5893,U_5892)
| ~ sP1070(U_5893,U_5891,U_5892,U_5890,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_9,plain,
( U_5891 = k9_rlvect_1(U_5893,U_5892)
| sP1069(U_5893,U_5891,U_5892,U_5890)
| k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,np__0) != k1_rlvect_1(U_5893)
| U_5891 != k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k3_finseq_1(U_5892))
| ~ m2_relset_1(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_2(U_5890,k5_numbers,u1_struct_0(U_5893))
| ~ v1_funct_1(U_5890)
| ~ sP1070(U_5893,U_5891,U_5892,U_5890,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_10,plain,
( v1_funct_1(sK755(U_5893,U_5892,U_5891))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_11,plain,
( v1_funct_2(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_12,plain,
( m2_relset_1(sK755(U_5893,U_5892,U_5891),k5_numbers,u1_struct_0(U_5893))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_13,plain,
( U_5891 = k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k3_finseq_1(U_5892))
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_14,plain,
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),np__0) = k1_rlvect_1(U_5893)
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_15,plain,
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),k1_nat_1(U_5886,np__1)) = k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),sK755(U_5893,U_5892,U_5891),U_5886),U_5885)
| r1_xreal_0(k3_finseq_1(U_5892),U_5886)
| U_5885 != k1_funct_1(U_5892,k1_nat_1(U_5886,np__1))
| ~ m1_subset_1(U_5885,u1_struct_0(U_5893))
| ~ m2_subset_1(U_5886,k1_numbers,k5_numbers)
| ~ sP1068(U_5893,U_5891,U_5892,U_5885,U_5886) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_16,plain,
( m2_subset_1(sK756(U_5893,U_5892,U_5891,U_5890),k1_numbers,k5_numbers)
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_17,plain,
( m1_subset_1(sK757(U_5893,U_5892,U_5891,U_5890),u1_struct_0(U_5893))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_18,plain,
( sK757(U_5893,U_5892,U_5891,U_5890) = k1_funct_1(U_5892,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_19,plain,
( ~ r1_xreal_0(k3_finseq_1(U_5892),sK756(U_5893,U_5892,U_5891,U_5890))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
cnf(f_2267_20,plain,
( k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,k1_nat_1(sK756(U_5893,U_5892,U_5891,U_5890),np__1)) != k2_rlvect_1(U_5893,k8_funct_2(k5_numbers,u1_struct_0(U_5893),U_5890,sK756(U_5893,U_5892,U_5891,U_5890)),sK757(U_5893,U_5892,U_5891,U_5890))
| ~ sP1069(U_5893,U_5891,U_5892,U_5890) ),
inference(clausify,[status(thm)],[f_2267_6]) ).
fof(f_2268_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t52_rlvect_1]) ).
fof(f_2268_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2268_1]) ).
cnf(f_2268_3,plain,
$true,
inference(clausify,[status(thm)],[f_2268_2]) ).
fof(f_2269_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_rlvect_1]) ).
fof(f_2269_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2269_1]) ).
cnf(f_2269_3,plain,
$true,
inference(clausify,[status(thm)],[f_2269_2]) ).
fof(f_2270_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_subset_1(k1_funct_1(B,C),u1_struct_0(A))
| k3_finseq_1(B) != D
| ~ r2_hidden(C,k2_finseq_1(D))
| ~ m2_subset_1(D,k1_numbers,k5_numbers) )
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t54_rlvect_1]) ).
fof(f_2270_2,plain,
! [U_5897] :
( ! [U_5896] :
( ! [U_5895] :
( ! [U_5894] :
( m1_subset_1(k1_funct_1(U_5896,U_5895),u1_struct_0(U_5897))
| k3_finseq_1(U_5896) != U_5894
| ~ r2_hidden(U_5895,k2_finseq_1(U_5894))
| ~ m2_subset_1(U_5894,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_5895,k1_numbers,k5_numbers) )
| ~ m2_finseq_1(U_5896,u1_struct_0(U_5897)) )
| ~ l1_rlvect_1(U_5897)
| v3_struct_0(U_5897) ),
inference(variable_rename,[status(thm)],[f_2270_1]) ).
fof(f_2270_3,plain,
! [U_5896,U_5897,U_5895,U_5894] :
( m1_subset_1(k1_funct_1(U_5896,U_5895),u1_struct_0(U_5897))
| k3_finseq_1(U_5896) != U_5894
| ~ r2_hidden(U_5895,k2_finseq_1(U_5894))
| ~ m2_subset_1(U_5894,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5895,k1_numbers,k5_numbers)
| ~ m2_finseq_1(U_5896,u1_struct_0(U_5897))
| ~ l1_rlvect_1(U_5897)
| v3_struct_0(U_5897) ),
inference(definitional_conversion,[status(esa)],[f_2270_2]) ).
cnf(f_2270_4,plain,
( m1_subset_1(k1_funct_1(U_5896,U_5895),u1_struct_0(U_5897))
| k3_finseq_1(U_5896) != U_5894
| ~ r2_hidden(U_5895,k2_finseq_1(U_5894))
| ~ m2_subset_1(U_5894,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_5895,k1_numbers,k5_numbers)
| ~ m2_finseq_1(U_5896,u1_struct_0(U_5897))
| ~ l1_rlvect_1(U_5897)
| v3_struct_0(U_5897) ),
inference(clausify,[status(thm)],[f_2270_3]) ).
fof(f_2271_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,B) = k2_rlvect_1(A,k9_rlvect_1(A,C),D)
| D != k1_funct_1(B,k3_finseq_1(B))
| C != k7_relat_1(B,k4_finseq_1(C))
| k3_finseq_1(B) != k1_nat_1(k3_finseq_1(C),np__1)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t55_rlvect_1]) ).
fof(f_2271_2,plain,
! [U_5901] :
( ! [U_5900] :
( ! [U_5899] :
( ! [U_5898] :
( k9_rlvect_1(U_5901,U_5900) = k2_rlvect_1(U_5901,k9_rlvect_1(U_5901,U_5899),U_5898)
| U_5898 != k1_funct_1(U_5900,k3_finseq_1(U_5900))
| U_5899 != k7_relat_1(U_5900,k4_finseq_1(U_5899))
| k3_finseq_1(U_5900) != k1_nat_1(k3_finseq_1(U_5899),np__1)
| ~ m1_subset_1(U_5898,u1_struct_0(U_5901)) )
| ~ m2_finseq_1(U_5899,u1_struct_0(U_5901)) )
| ~ m2_finseq_1(U_5900,u1_struct_0(U_5901)) )
| ~ l1_rlvect_1(U_5901)
| v3_struct_0(U_5901) ),
inference(variable_rename,[status(thm)],[f_2271_1]) ).
fof(f_2271_3,plain,
! [U_5901,U_5900,U_5898,U_5899] :
( k9_rlvect_1(U_5901,U_5900) = k2_rlvect_1(U_5901,k9_rlvect_1(U_5901,U_5899),U_5898)
| U_5898 != k1_funct_1(U_5900,k3_finseq_1(U_5900))
| U_5899 != k7_relat_1(U_5900,k4_finseq_1(U_5899))
| k3_finseq_1(U_5900) != k1_nat_1(k3_finseq_1(U_5899),np__1)
| ~ m1_subset_1(U_5898,u1_struct_0(U_5901))
| ~ m2_finseq_1(U_5899,u1_struct_0(U_5901))
| ~ m2_finseq_1(U_5900,u1_struct_0(U_5901))
| ~ l1_rlvect_1(U_5901)
| v3_struct_0(U_5901) ),
inference(definitional_conversion,[status(esa)],[f_2271_2]) ).
cnf(f_2271_4,plain,
( k9_rlvect_1(U_5901,U_5900) = k2_rlvect_1(U_5901,k9_rlvect_1(U_5901,U_5899),U_5898)
| U_5898 != k1_funct_1(U_5900,k3_finseq_1(U_5900))
| U_5899 != k7_relat_1(U_5900,k4_finseq_1(U_5899))
| k3_finseq_1(U_5900) != k1_nat_1(k3_finseq_1(U_5899),np__1)
| ~ m1_subset_1(U_5898,u1_struct_0(U_5901))
| ~ m2_finseq_1(U_5899,u1_struct_0(U_5901))
| ~ m2_finseq_1(U_5900,u1_struct_0(U_5901))
| ~ l1_rlvect_1(U_5901)
| v3_struct_0(U_5901) ),
inference(clausify,[status(thm)],[f_2271_3]) ).
fof(f_2272_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(B,C) = k3_rlvect_1(B,k9_rlvect_1(B,D),A)
| ? [E] :
( ? [F] :
( k1_funct_1(C,E) != k3_rlvect_1(B,F,A)
& F = k1_funct_1(D,E)
& r2_hidden(E,k4_finseq_1(C))
& m1_subset_1(F,u1_struct_0(B)) )
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k3_finseq_1(C) != k3_finseq_1(D)
| ~ m2_finseq_1(D,u1_struct_0(B)) )
| ~ m2_finseq_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m1_subset_1(A,k1_numbers) ),
inference(fof_nnf,[status(thm)],[t56_rlvect_1]) ).
fof(f_2272_2,plain,
! [U_5907] :
( ! [U_5906] :
( ! [U_5905] :
( ! [U_5904] :
( k9_rlvect_1(U_5906,U_5905) = k3_rlvect_1(U_5906,k9_rlvect_1(U_5906,U_5904),U_5907)
| ? [U_5903] :
( ? [U_5902] :
( k1_funct_1(U_5905,U_5903) != k3_rlvect_1(U_5906,U_5902,U_5907)
& U_5902 = k1_funct_1(U_5904,U_5903)
& r2_hidden(U_5903,k4_finseq_1(U_5905))
& m1_subset_1(U_5902,u1_struct_0(U_5906)) )
& m2_subset_1(U_5903,k1_numbers,k5_numbers) )
| k3_finseq_1(U_5905) != k3_finseq_1(U_5904)
| ~ m2_finseq_1(U_5904,u1_struct_0(U_5906)) )
| ~ m2_finseq_1(U_5905,u1_struct_0(U_5906)) )
| ~ l2_rlvect_1(U_5906)
| ~ v7_rlvect_1(U_5906)
| ~ v6_rlvect_1(U_5906)
| ~ v5_rlvect_1(U_5906)
| ~ v4_rlvect_1(U_5906)
| ~ v3_rlvect_1(U_5906)
| v3_struct_0(U_5906) )
| ~ m1_subset_1(U_5907,k1_numbers) ),
inference(variable_rename,[status(thm)],[f_2272_1]) ).
fof(f_2272_3,plain,
! [U_5907] :
( ! [U_5906] :
( ! [U_5905] :
( ! [U_5904] :
( k9_rlvect_1(U_5906,U_5905) = k3_rlvect_1(U_5906,k9_rlvect_1(U_5906,U_5904),U_5907)
| ( ? [U_5902] :
( k1_funct_1(U_5905,sK758(U_5907,U_5906,U_5905,U_5904)) != k3_rlvect_1(U_5906,U_5902,U_5907)
& U_5902 = k1_funct_1(U_5904,sK758(U_5907,U_5906,U_5905,U_5904))
& r2_hidden(sK758(U_5907,U_5906,U_5905,U_5904),k4_finseq_1(U_5905))
& m1_subset_1(U_5902,u1_struct_0(U_5906)) )
& m2_subset_1(sK758(U_5907,U_5906,U_5905,U_5904),k1_numbers,k5_numbers) )
| k3_finseq_1(U_5905) != k3_finseq_1(U_5904)
| ~ m2_finseq_1(U_5904,u1_struct_0(U_5906)) )
| ~ m2_finseq_1(U_5905,u1_struct_0(U_5906)) )
| ~ l2_rlvect_1(U_5906)
| ~ v7_rlvect_1(U_5906)
| ~ v6_rlvect_1(U_5906)
| ~ v5_rlvect_1(U_5906)
| ~ v4_rlvect_1(U_5906)
| ~ v3_rlvect_1(U_5906)
| v3_struct_0(U_5906) )
| ~ m1_subset_1(U_5907,k1_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK758]),skolemize(U_5903,sK758(U_5907,U_5906,U_5905,U_5904))],[f_2272_2]) ).
fof(f_2272_4,plain,
! [U_5907] :
( ! [U_5906] :
( ! [U_5905] :
( ! [U_5904] :
( k9_rlvect_1(U_5906,U_5905) = k3_rlvect_1(U_5906,k9_rlvect_1(U_5906,U_5904),U_5907)
| ( k1_funct_1(U_5905,sK758(U_5907,U_5906,U_5905,U_5904)) != k3_rlvect_1(U_5906,sK759(U_5907,U_5906,U_5905,U_5904),U_5907)
& sK759(U_5907,U_5906,U_5905,U_5904) = k1_funct_1(U_5904,sK758(U_5907,U_5906,U_5905,U_5904))
& r2_hidden(sK758(U_5907,U_5906,U_5905,U_5904),k4_finseq_1(U_5905))
& m1_subset_1(sK759(U_5907,U_5906,U_5905,U_5904),u1_struct_0(U_5906))
& m2_subset_1(sK758(U_5907,U_5906,U_5905,U_5904),k1_numbers,k5_numbers) )
| k3_finseq_1(U_5905) != k3_finseq_1(U_5904)
| ~ m2_finseq_1(U_5904,u1_struct_0(U_5906)) )
| ~ m2_finseq_1(U_5905,u1_struct_0(U_5906)) )
| ~ l2_rlvect_1(U_5906)
| ~ v7_rlvect_1(U_5906)
| ~ v6_rlvect_1(U_5906)
| ~ v5_rlvect_1(U_5906)
| ~ v4_rlvect_1(U_5906)
| ~ v3_rlvect_1(U_5906)
| v3_struct_0(U_5906) )
| ~ m1_subset_1(U_5907,k1_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK759]),skolemize(U_5902,sK759(U_5907,U_5906,U_5905,U_5904))],[f_2272_3]) ).
fof(f_2272_5,plain,
( ! [U_5904,U_5905,U_5907,U_5906] :
( k1_funct_1(U_5905,sK758(U_5907,U_5906,U_5905,U_5904)) != k3_rlvect_1(U_5906,sK759(U_5907,U_5906,U_5905,U_5904),U_5907)
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) )
& ! [U_5904,U_5905,U_5907,U_5906] :
( sK759(U_5907,U_5906,U_5905,U_5904) = k1_funct_1(U_5904,sK758(U_5907,U_5906,U_5905,U_5904))
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) )
& ! [U_5904,U_5905,U_5907,U_5906] :
( r2_hidden(sK758(U_5907,U_5906,U_5905,U_5904),k4_finseq_1(U_5905))
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) )
& ! [U_5904,U_5905,U_5907,U_5906] :
( m1_subset_1(sK759(U_5907,U_5906,U_5905,U_5904),u1_struct_0(U_5906))
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) )
& ! [U_5904,U_5905,U_5907,U_5906] :
( m2_subset_1(sK758(U_5907,U_5906,U_5905,U_5904),k1_numbers,k5_numbers)
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) )
& ! [U_5904,U_5905,U_5907,U_5906] :
( k9_rlvect_1(U_5906,U_5905) = k3_rlvect_1(U_5906,k9_rlvect_1(U_5906,U_5904),U_5907)
| sP1071(U_5904,U_5905,U_5907,U_5906)
| k3_finseq_1(U_5905) != k3_finseq_1(U_5904)
| ~ m2_finseq_1(U_5904,u1_struct_0(U_5906))
| ~ m2_finseq_1(U_5905,u1_struct_0(U_5906))
| ~ l2_rlvect_1(U_5906)
| ~ v7_rlvect_1(U_5906)
| ~ v6_rlvect_1(U_5906)
| ~ v5_rlvect_1(U_5906)
| ~ v4_rlvect_1(U_5906)
| ~ v3_rlvect_1(U_5906)
| v3_struct_0(U_5906)
| ~ m1_subset_1(U_5907,k1_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1071])],[f_2272_4]) ).
cnf(f_2272_6,plain,
( k9_rlvect_1(U_5906,U_5905) = k3_rlvect_1(U_5906,k9_rlvect_1(U_5906,U_5904),U_5907)
| sP1071(U_5904,U_5905,U_5907,U_5906)
| k3_finseq_1(U_5905) != k3_finseq_1(U_5904)
| ~ m2_finseq_1(U_5904,u1_struct_0(U_5906))
| ~ m2_finseq_1(U_5905,u1_struct_0(U_5906))
| ~ l2_rlvect_1(U_5906)
| ~ v7_rlvect_1(U_5906)
| ~ v6_rlvect_1(U_5906)
| ~ v5_rlvect_1(U_5906)
| ~ v4_rlvect_1(U_5906)
| ~ v3_rlvect_1(U_5906)
| v3_struct_0(U_5906)
| ~ m1_subset_1(U_5907,k1_numbers) ),
inference(clausify,[status(thm)],[f_2272_5]) ).
cnf(f_2272_7,plain,
( m2_subset_1(sK758(U_5907,U_5906,U_5905,U_5904),k1_numbers,k5_numbers)
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) ),
inference(clausify,[status(thm)],[f_2272_5]) ).
cnf(f_2272_8,plain,
( m1_subset_1(sK759(U_5907,U_5906,U_5905,U_5904),u1_struct_0(U_5906))
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) ),
inference(clausify,[status(thm)],[f_2272_5]) ).
cnf(f_2272_9,plain,
( r2_hidden(sK758(U_5907,U_5906,U_5905,U_5904),k4_finseq_1(U_5905))
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) ),
inference(clausify,[status(thm)],[f_2272_5]) ).
cnf(f_2272_10,plain,
( sK759(U_5907,U_5906,U_5905,U_5904) = k1_funct_1(U_5904,sK758(U_5907,U_5906,U_5905,U_5904))
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) ),
inference(clausify,[status(thm)],[f_2272_5]) ).
cnf(f_2272_11,plain,
( k1_funct_1(U_5905,sK758(U_5907,U_5906,U_5905,U_5904)) != k3_rlvect_1(U_5906,sK759(U_5907,U_5906,U_5905,U_5904),U_5907)
| ~ sP1071(U_5904,U_5905,U_5907,U_5906) ),
inference(clausify,[status(thm)],[f_2272_5]) ).
fof(f_2273_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,B) = k5_rlvect_1(A,k9_rlvect_1(A,C))
| ? [D] :
( ? [E] :
( k1_funct_1(B,D) != k5_rlvect_1(A,E)
& E = k1_funct_1(C,D)
& r2_hidden(D,k4_finseq_1(B))
& m1_subset_1(E,u1_struct_0(A)) )
& m2_subset_1(D,k1_numbers,k5_numbers) )
| k3_finseq_1(B) != k3_finseq_1(C)
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t57_rlvect_1]) ).
fof(f_2273_2,plain,
! [U_5912] :
( ! [U_5911] :
( ! [U_5910] :
( k9_rlvect_1(U_5912,U_5911) = k5_rlvect_1(U_5912,k9_rlvect_1(U_5912,U_5910))
| ? [U_5909] :
( ? [U_5908] :
( k1_funct_1(U_5911,U_5909) != k5_rlvect_1(U_5912,U_5908)
& U_5908 = k1_funct_1(U_5910,U_5909)
& r2_hidden(U_5909,k4_finseq_1(U_5911))
& m1_subset_1(U_5908,u1_struct_0(U_5912)) )
& m2_subset_1(U_5909,k1_numbers,k5_numbers) )
| k3_finseq_1(U_5911) != k3_finseq_1(U_5910)
| ~ m2_finseq_1(U_5910,u1_struct_0(U_5912)) )
| ~ m2_finseq_1(U_5911,u1_struct_0(U_5912)) )
| ~ l1_rlvect_1(U_5912)
| ~ v6_rlvect_1(U_5912)
| ~ v5_rlvect_1(U_5912)
| ~ v4_rlvect_1(U_5912)
| ~ v3_rlvect_1(U_5912)
| v3_struct_0(U_5912) ),
inference(variable_rename,[status(thm)],[f_2273_1]) ).
fof(f_2273_3,plain,
! [U_5912] :
( ! [U_5911] :
( ! [U_5910] :
( k9_rlvect_1(U_5912,U_5911) = k5_rlvect_1(U_5912,k9_rlvect_1(U_5912,U_5910))
| ( ? [U_5908] :
( k1_funct_1(U_5911,sK760(U_5912,U_5911,U_5910)) != k5_rlvect_1(U_5912,U_5908)
& U_5908 = k1_funct_1(U_5910,sK760(U_5912,U_5911,U_5910))
& r2_hidden(sK760(U_5912,U_5911,U_5910),k4_finseq_1(U_5911))
& m1_subset_1(U_5908,u1_struct_0(U_5912)) )
& m2_subset_1(sK760(U_5912,U_5911,U_5910),k1_numbers,k5_numbers) )
| k3_finseq_1(U_5911) != k3_finseq_1(U_5910)
| ~ m2_finseq_1(U_5910,u1_struct_0(U_5912)) )
| ~ m2_finseq_1(U_5911,u1_struct_0(U_5912)) )
| ~ l1_rlvect_1(U_5912)
| ~ v6_rlvect_1(U_5912)
| ~ v5_rlvect_1(U_5912)
| ~ v4_rlvect_1(U_5912)
| ~ v3_rlvect_1(U_5912)
| v3_struct_0(U_5912) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK760]),skolemize(U_5909,sK760(U_5912,U_5911,U_5910))],[f_2273_2]) ).
fof(f_2273_4,plain,
! [U_5912] :
( ! [U_5911] :
( ! [U_5910] :
( k9_rlvect_1(U_5912,U_5911) = k5_rlvect_1(U_5912,k9_rlvect_1(U_5912,U_5910))
| ( k1_funct_1(U_5911,sK760(U_5912,U_5911,U_5910)) != k5_rlvect_1(U_5912,sK761(U_5912,U_5911,U_5910))
& sK761(U_5912,U_5911,U_5910) = k1_funct_1(U_5910,sK760(U_5912,U_5911,U_5910))
& r2_hidden(sK760(U_5912,U_5911,U_5910),k4_finseq_1(U_5911))
& m1_subset_1(sK761(U_5912,U_5911,U_5910),u1_struct_0(U_5912))
& m2_subset_1(sK760(U_5912,U_5911,U_5910),k1_numbers,k5_numbers) )
| k3_finseq_1(U_5911) != k3_finseq_1(U_5910)
| ~ m2_finseq_1(U_5910,u1_struct_0(U_5912)) )
| ~ m2_finseq_1(U_5911,u1_struct_0(U_5912)) )
| ~ l1_rlvect_1(U_5912)
| ~ v6_rlvect_1(U_5912)
| ~ v5_rlvect_1(U_5912)
| ~ v4_rlvect_1(U_5912)
| ~ v3_rlvect_1(U_5912)
| v3_struct_0(U_5912) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK761]),skolemize(U_5908,sK761(U_5912,U_5911,U_5910))],[f_2273_3]) ).
fof(f_2273_5,plain,
( ! [U_5911,U_5912,U_5910] :
( k1_funct_1(U_5911,sK760(U_5912,U_5911,U_5910)) != k5_rlvect_1(U_5912,sK761(U_5912,U_5911,U_5910))
| ~ sP1072(U_5911,U_5912,U_5910) )
& ! [U_5911,U_5912,U_5910] :
( sK761(U_5912,U_5911,U_5910) = k1_funct_1(U_5910,sK760(U_5912,U_5911,U_5910))
| ~ sP1072(U_5911,U_5912,U_5910) )
& ! [U_5911,U_5912,U_5910] :
( r2_hidden(sK760(U_5912,U_5911,U_5910),k4_finseq_1(U_5911))
| ~ sP1072(U_5911,U_5912,U_5910) )
& ! [U_5911,U_5912,U_5910] :
( m1_subset_1(sK761(U_5912,U_5911,U_5910),u1_struct_0(U_5912))
| ~ sP1072(U_5911,U_5912,U_5910) )
& ! [U_5911,U_5912,U_5910] :
( m2_subset_1(sK760(U_5912,U_5911,U_5910),k1_numbers,k5_numbers)
| ~ sP1072(U_5911,U_5912,U_5910) )
& ! [U_5911,U_5912,U_5910] :
( k9_rlvect_1(U_5912,U_5911) = k5_rlvect_1(U_5912,k9_rlvect_1(U_5912,U_5910))
| sP1072(U_5911,U_5912,U_5910)
| k3_finseq_1(U_5911) != k3_finseq_1(U_5910)
| ~ m2_finseq_1(U_5910,u1_struct_0(U_5912))
| ~ m2_finseq_1(U_5911,u1_struct_0(U_5912))
| ~ l1_rlvect_1(U_5912)
| ~ v6_rlvect_1(U_5912)
| ~ v5_rlvect_1(U_5912)
| ~ v4_rlvect_1(U_5912)
| ~ v3_rlvect_1(U_5912)
| v3_struct_0(U_5912) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1072])],[f_2273_4]) ).
cnf(f_2273_6,plain,
( k9_rlvect_1(U_5912,U_5911) = k5_rlvect_1(U_5912,k9_rlvect_1(U_5912,U_5910))
| sP1072(U_5911,U_5912,U_5910)
| k3_finseq_1(U_5911) != k3_finseq_1(U_5910)
| ~ m2_finseq_1(U_5910,u1_struct_0(U_5912))
| ~ m2_finseq_1(U_5911,u1_struct_0(U_5912))
| ~ l1_rlvect_1(U_5912)
| ~ v6_rlvect_1(U_5912)
| ~ v5_rlvect_1(U_5912)
| ~ v4_rlvect_1(U_5912)
| ~ v3_rlvect_1(U_5912)
| v3_struct_0(U_5912) ),
inference(clausify,[status(thm)],[f_2273_5]) ).
cnf(f_2273_7,plain,
( m2_subset_1(sK760(U_5912,U_5911,U_5910),k1_numbers,k5_numbers)
| ~ sP1072(U_5911,U_5912,U_5910) ),
inference(clausify,[status(thm)],[f_2273_5]) ).
cnf(f_2273_8,plain,
( m1_subset_1(sK761(U_5912,U_5911,U_5910),u1_struct_0(U_5912))
| ~ sP1072(U_5911,U_5912,U_5910) ),
inference(clausify,[status(thm)],[f_2273_5]) ).
cnf(f_2273_9,plain,
( r2_hidden(sK760(U_5912,U_5911,U_5910),k4_finseq_1(U_5911))
| ~ sP1072(U_5911,U_5912,U_5910) ),
inference(clausify,[status(thm)],[f_2273_5]) ).
cnf(f_2273_10,plain,
( sK761(U_5912,U_5911,U_5910) = k1_funct_1(U_5910,sK760(U_5912,U_5911,U_5910))
| ~ sP1072(U_5911,U_5912,U_5910) ),
inference(clausify,[status(thm)],[f_2273_5]) ).
cnf(f_2273_11,plain,
( k1_funct_1(U_5911,sK760(U_5912,U_5911,U_5910)) != k5_rlvect_1(U_5912,sK761(U_5912,U_5911,U_5910))
| ~ sP1072(U_5911,U_5912,U_5910) ),
inference(clausify,[status(thm)],[f_2273_5]) ).
fof(f_2274_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t58_rlvect_1]) ).
fof(f_2274_2,plain,
! [U_5915] :
( ! [U_5914] :
( ! [U_5913] :
( k9_rlvect_1(U_5915,k8_finseq_1(u1_struct_0(U_5915),U_5914,U_5913)) = k2_rlvect_1(U_5915,k9_rlvect_1(U_5915,U_5914),k9_rlvect_1(U_5915,U_5913))
| ~ m2_finseq_1(U_5913,u1_struct_0(U_5915)) )
| ~ m2_finseq_1(U_5914,u1_struct_0(U_5915)) )
| ~ l1_rlvect_1(U_5915)
| ~ v5_rlvect_1(U_5915)
| ~ v4_rlvect_1(U_5915)
| v3_struct_0(U_5915) ),
inference(variable_rename,[status(thm)],[f_2274_1]) ).
fof(f_2274_3,plain,
! [U_5914,U_5913,U_5915] :
( k9_rlvect_1(U_5915,k8_finseq_1(u1_struct_0(U_5915),U_5914,U_5913)) = k2_rlvect_1(U_5915,k9_rlvect_1(U_5915,U_5914),k9_rlvect_1(U_5915,U_5913))
| ~ m2_finseq_1(U_5913,u1_struct_0(U_5915))
| ~ m2_finseq_1(U_5914,u1_struct_0(U_5915))
| ~ l1_rlvect_1(U_5915)
| ~ v5_rlvect_1(U_5915)
| ~ v4_rlvect_1(U_5915)
| v3_struct_0(U_5915) ),
inference(definitional_conversion,[status(esa)],[f_2274_2]) ).
cnf(f_2274_4,plain,
( k9_rlvect_1(U_5915,k8_finseq_1(u1_struct_0(U_5915),U_5914,U_5913)) = k2_rlvect_1(U_5915,k9_rlvect_1(U_5915,U_5914),k9_rlvect_1(U_5915,U_5913))
| ~ m2_finseq_1(U_5913,u1_struct_0(U_5915))
| ~ m2_finseq_1(U_5914,u1_struct_0(U_5915))
| ~ l1_rlvect_1(U_5915)
| ~ v5_rlvect_1(U_5915)
| ~ v4_rlvect_1(U_5915)
| v3_struct_0(U_5915) ),
inference(clausify,[status(thm)],[f_2274_3]) ).
fof(f_2275_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,B) = k9_rlvect_1(A,C)
| ~ v2_funct_1(C)
| ~ v2_funct_1(B)
| k2_relat_1(B) != k2_relat_1(C)
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_rlvect_1]) ).
fof(f_2275_2,plain,
! [U_5918] :
( ! [U_5917] :
( ! [U_5916] :
( k9_rlvect_1(U_5918,U_5917) = k9_rlvect_1(U_5918,U_5916)
| ~ v2_funct_1(U_5916)
| ~ v2_funct_1(U_5917)
| k2_relat_1(U_5917) != k2_relat_1(U_5916)
| ~ m2_finseq_1(U_5916,u1_struct_0(U_5918)) )
| ~ m2_finseq_1(U_5917,u1_struct_0(U_5918)) )
| ~ l1_rlvect_1(U_5918)
| ~ v5_rlvect_1(U_5918)
| ~ v4_rlvect_1(U_5918)
| ~ v3_rlvect_1(U_5918)
| v3_struct_0(U_5918) ),
inference(variable_rename,[status(thm)],[f_2275_1]) ).
fof(f_2275_3,plain,
! [U_5917,U_5918,U_5916] :
( k9_rlvect_1(U_5918,U_5917) = k9_rlvect_1(U_5918,U_5916)
| ~ v2_funct_1(U_5916)
| ~ v2_funct_1(U_5917)
| k2_relat_1(U_5917) != k2_relat_1(U_5916)
| ~ m2_finseq_1(U_5916,u1_struct_0(U_5918))
| ~ m2_finseq_1(U_5917,u1_struct_0(U_5918))
| ~ l1_rlvect_1(U_5918)
| ~ v5_rlvect_1(U_5918)
| ~ v4_rlvect_1(U_5918)
| ~ v3_rlvect_1(U_5918)
| v3_struct_0(U_5918) ),
inference(definitional_conversion,[status(esa)],[f_2275_2]) ).
cnf(f_2275_4,plain,
( k9_rlvect_1(U_5918,U_5917) = k9_rlvect_1(U_5918,U_5916)
| ~ v2_funct_1(U_5916)
| ~ v2_funct_1(U_5917)
| k2_relat_1(U_5917) != k2_relat_1(U_5916)
| ~ m2_finseq_1(U_5916,u1_struct_0(U_5918))
| ~ m2_finseq_1(U_5917,u1_struct_0(U_5918))
| ~ l1_rlvect_1(U_5918)
| ~ v5_rlvect_1(U_5918)
| ~ v4_rlvect_1(U_5918)
| ~ v3_rlvect_1(U_5918)
| v3_struct_0(U_5918) ),
inference(clausify,[status(thm)],[f_2275_3]) ).
fof(f_2276_1,plain,
! [A] :
( k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k1_rlvect_1(A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t60_rlvect_1]) ).
fof(f_2276_2,plain,
! [U_5919] :
( k9_rlvect_1(U_5919,k6_finseq_1(u1_struct_0(U_5919))) = k1_rlvect_1(U_5919)
| ~ l1_rlvect_1(U_5919)
| v3_struct_0(U_5919) ),
inference(variable_rename,[status(thm)],[f_2276_1]) ).
fof(f_2276_3,plain,
! [U_5919] :
( k9_rlvect_1(U_5919,k6_finseq_1(u1_struct_0(U_5919))) = k1_rlvect_1(U_5919)
| ~ l1_rlvect_1(U_5919)
| v3_struct_0(U_5919) ),
inference(definitional_conversion,[status(esa)],[f_2276_2]) ).
cnf(f_2276_4,plain,
( k9_rlvect_1(U_5919,k6_finseq_1(u1_struct_0(U_5919))) = k1_rlvect_1(U_5919)
| ~ l1_rlvect_1(U_5919)
| v3_struct_0(U_5919) ),
inference(clausify,[status(thm)],[f_2276_3]) ).
fof(f_2277_1,plain,
! [A] :
( ! [B] :
( k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t61_rlvect_1]) ).
fof(f_2277_2,plain,
! [U_5921] :
( ! [U_5920] :
( k9_rlvect_1(U_5921,k12_finseq_1(u1_struct_0(U_5921),U_5920)) = U_5920
| ~ m1_subset_1(U_5920,u1_struct_0(U_5921)) )
| ~ l1_rlvect_1(U_5921)
| ~ v6_rlvect_1(U_5921)
| ~ v5_rlvect_1(U_5921)
| ~ v4_rlvect_1(U_5921)
| v3_struct_0(U_5921) ),
inference(variable_rename,[status(thm)],[f_2277_1]) ).
fof(f_2277_3,plain,
! [U_5920,U_5921] :
( k9_rlvect_1(U_5921,k12_finseq_1(u1_struct_0(U_5921),U_5920)) = U_5920
| ~ m1_subset_1(U_5920,u1_struct_0(U_5921))
| ~ l1_rlvect_1(U_5921)
| ~ v6_rlvect_1(U_5921)
| ~ v5_rlvect_1(U_5921)
| ~ v4_rlvect_1(U_5921)
| v3_struct_0(U_5921) ),
inference(definitional_conversion,[status(esa)],[f_2277_2]) ).
cnf(f_2277_4,plain,
( k9_rlvect_1(U_5921,k12_finseq_1(u1_struct_0(U_5921),U_5920)) = U_5920
| ~ m1_subset_1(U_5920,u1_struct_0(U_5921))
| ~ l1_rlvect_1(U_5921)
| ~ v6_rlvect_1(U_5921)
| ~ v5_rlvect_1(U_5921)
| ~ v4_rlvect_1(U_5921)
| v3_struct_0(U_5921) ),
inference(clausify,[status(thm)],[f_2277_3]) ).
fof(f_2278_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,B,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t62_rlvect_1]) ).
fof(f_2278_2,plain,
! [U_5924] :
( ! [U_5923] :
( ! [U_5922] :
( k9_rlvect_1(U_5924,k7_rlvect_1(U_5924,U_5923,U_5922)) = k2_rlvect_1(U_5924,U_5923,U_5922)
| ~ m1_subset_1(U_5922,u1_struct_0(U_5924)) )
| ~ m1_subset_1(U_5923,u1_struct_0(U_5924)) )
| ~ l1_rlvect_1(U_5924)
| ~ v6_rlvect_1(U_5924)
| ~ v5_rlvect_1(U_5924)
| ~ v4_rlvect_1(U_5924)
| v3_struct_0(U_5924) ),
inference(variable_rename,[status(thm)],[f_2278_1]) ).
fof(f_2278_3,plain,
! [U_5923,U_5924,U_5922] :
( k9_rlvect_1(U_5924,k7_rlvect_1(U_5924,U_5923,U_5922)) = k2_rlvect_1(U_5924,U_5923,U_5922)
| ~ m1_subset_1(U_5922,u1_struct_0(U_5924))
| ~ m1_subset_1(U_5923,u1_struct_0(U_5924))
| ~ l1_rlvect_1(U_5924)
| ~ v6_rlvect_1(U_5924)
| ~ v5_rlvect_1(U_5924)
| ~ v4_rlvect_1(U_5924)
| v3_struct_0(U_5924) ),
inference(definitional_conversion,[status(esa)],[f_2278_2]) ).
cnf(f_2278_4,plain,
( k9_rlvect_1(U_5924,k7_rlvect_1(U_5924,U_5923,U_5922)) = k2_rlvect_1(U_5924,U_5923,U_5922)
| ~ m1_subset_1(U_5922,u1_struct_0(U_5924))
| ~ m1_subset_1(U_5923,u1_struct_0(U_5924))
| ~ l1_rlvect_1(U_5924)
| ~ v6_rlvect_1(U_5924)
| ~ v5_rlvect_1(U_5924)
| ~ v4_rlvect_1(U_5924)
| v3_struct_0(U_5924) ),
inference(clausify,[status(thm)],[f_2278_3]) ).
fof(f_2279_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,B,C),D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t63_rlvect_1]) ).
fof(f_2279_2,plain,
! [U_5928] :
( ! [U_5927] :
( ! [U_5926] :
( ! [U_5925] :
( k9_rlvect_1(U_5928,k8_rlvect_1(U_5928,U_5927,U_5926,U_5925)) = k2_rlvect_1(U_5928,k2_rlvect_1(U_5928,U_5927,U_5926),U_5925)
| ~ m1_subset_1(U_5925,u1_struct_0(U_5928)) )
| ~ m1_subset_1(U_5926,u1_struct_0(U_5928)) )
| ~ m1_subset_1(U_5927,u1_struct_0(U_5928)) )
| ~ l1_rlvect_1(U_5928)
| ~ v6_rlvect_1(U_5928)
| ~ v5_rlvect_1(U_5928)
| ~ v4_rlvect_1(U_5928)
| v3_struct_0(U_5928) ),
inference(variable_rename,[status(thm)],[f_2279_1]) ).
fof(f_2279_3,plain,
! [U_5926,U_5927,U_5928,U_5925] :
( k9_rlvect_1(U_5928,k8_rlvect_1(U_5928,U_5927,U_5926,U_5925)) = k2_rlvect_1(U_5928,k2_rlvect_1(U_5928,U_5927,U_5926),U_5925)
| ~ m1_subset_1(U_5925,u1_struct_0(U_5928))
| ~ m1_subset_1(U_5926,u1_struct_0(U_5928))
| ~ m1_subset_1(U_5927,u1_struct_0(U_5928))
| ~ l1_rlvect_1(U_5928)
| ~ v6_rlvect_1(U_5928)
| ~ v5_rlvect_1(U_5928)
| ~ v4_rlvect_1(U_5928)
| v3_struct_0(U_5928) ),
inference(definitional_conversion,[status(esa)],[f_2279_2]) ).
cnf(f_2279_4,plain,
( k9_rlvect_1(U_5928,k8_rlvect_1(U_5928,U_5927,U_5926,U_5925)) = k2_rlvect_1(U_5928,k2_rlvect_1(U_5928,U_5927,U_5926),U_5925)
| ~ m1_subset_1(U_5925,u1_struct_0(U_5928))
| ~ m1_subset_1(U_5926,u1_struct_0(U_5928))
| ~ m1_subset_1(U_5927,u1_struct_0(U_5928))
| ~ l1_rlvect_1(U_5928)
| ~ v6_rlvect_1(U_5928)
| ~ v5_rlvect_1(U_5928)
| ~ v4_rlvect_1(U_5928)
| v3_struct_0(U_5928) ),
inference(clausify,[status(thm)],[f_2279_3]) ).
fof(f_2280_1,plain,
! [A] :
( ! [B] :
( k3_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) = k1_rlvect_1(A)
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t64_rlvect_1]) ).
fof(f_2280_2,plain,
! [U_5930] :
( ! [U_5929] :
( k3_rlvect_1(U_5930,k9_rlvect_1(U_5930,k6_finseq_1(u1_struct_0(U_5930))),U_5929) = k1_rlvect_1(U_5930)
| ~ m1_subset_1(U_5929,k1_numbers) )
| ~ l2_rlvect_1(U_5930)
| ~ v7_rlvect_1(U_5930)
| ~ v6_rlvect_1(U_5930)
| ~ v5_rlvect_1(U_5930)
| ~ v4_rlvect_1(U_5930)
| ~ v3_rlvect_1(U_5930)
| v3_struct_0(U_5930) ),
inference(variable_rename,[status(thm)],[f_2280_1]) ).
fof(f_2280_3,plain,
! [U_5930,U_5929] :
( k3_rlvect_1(U_5930,k9_rlvect_1(U_5930,k6_finseq_1(u1_struct_0(U_5930))),U_5929) = k1_rlvect_1(U_5930)
| ~ m1_subset_1(U_5929,k1_numbers)
| ~ l2_rlvect_1(U_5930)
| ~ v7_rlvect_1(U_5930)
| ~ v6_rlvect_1(U_5930)
| ~ v5_rlvect_1(U_5930)
| ~ v4_rlvect_1(U_5930)
| ~ v3_rlvect_1(U_5930)
| v3_struct_0(U_5930) ),
inference(definitional_conversion,[status(esa)],[f_2280_2]) ).
cnf(f_2280_4,plain,
( k3_rlvect_1(U_5930,k9_rlvect_1(U_5930,k6_finseq_1(u1_struct_0(U_5930))),U_5929) = k1_rlvect_1(U_5930)
| ~ m1_subset_1(U_5929,k1_numbers)
| ~ l2_rlvect_1(U_5930)
| ~ v7_rlvect_1(U_5930)
| ~ v6_rlvect_1(U_5930)
| ~ v5_rlvect_1(U_5930)
| ~ v4_rlvect_1(U_5930)
| ~ v3_rlvect_1(U_5930)
| v3_struct_0(U_5930) ),
inference(clausify,[status(thm)],[f_2280_3]) ).
fof(f_2281_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t65_rlvect_1]) ).
fof(f_2281_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2281_1]) ).
cnf(f_2281_3,plain,
$true,
inference(clausify,[status(thm)],[f_2281_2]) ).
fof(f_2282_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k3_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B) = k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t66_rlvect_1]) ).
fof(f_2282_2,plain,
! [U_5934] :
( ! [U_5933] :
( ! [U_5932] :
( ! [U_5931] :
( k3_rlvect_1(U_5934,k9_rlvect_1(U_5934,k7_rlvect_1(U_5934,U_5932,U_5931)),U_5933) = k4_rlvect_1(U_5934,k3_rlvect_1(U_5934,U_5932,U_5933),k3_rlvect_1(U_5934,U_5931,U_5933))
| ~ m1_subset_1(U_5931,u1_struct_0(U_5934)) )
| ~ m1_subset_1(U_5932,u1_struct_0(U_5934)) )
| ~ m1_subset_1(U_5933,k1_numbers) )
| ~ l2_rlvect_1(U_5934)
| ~ v7_rlvect_1(U_5934)
| ~ v6_rlvect_1(U_5934)
| ~ v5_rlvect_1(U_5934)
| ~ v4_rlvect_1(U_5934)
| ~ v3_rlvect_1(U_5934)
| v3_struct_0(U_5934) ),
inference(variable_rename,[status(thm)],[f_2282_1]) ).
fof(f_2282_3,plain,
! [U_5932,U_5933,U_5934,U_5931] :
( k3_rlvect_1(U_5934,k9_rlvect_1(U_5934,k7_rlvect_1(U_5934,U_5932,U_5931)),U_5933) = k4_rlvect_1(U_5934,k3_rlvect_1(U_5934,U_5932,U_5933),k3_rlvect_1(U_5934,U_5931,U_5933))
| ~ m1_subset_1(U_5931,u1_struct_0(U_5934))
| ~ m1_subset_1(U_5932,u1_struct_0(U_5934))
| ~ m1_subset_1(U_5933,k1_numbers)
| ~ l2_rlvect_1(U_5934)
| ~ v7_rlvect_1(U_5934)
| ~ v6_rlvect_1(U_5934)
| ~ v5_rlvect_1(U_5934)
| ~ v4_rlvect_1(U_5934)
| ~ v3_rlvect_1(U_5934)
| v3_struct_0(U_5934) ),
inference(definitional_conversion,[status(esa)],[f_2282_2]) ).
cnf(f_2282_4,plain,
( k3_rlvect_1(U_5934,k9_rlvect_1(U_5934,k7_rlvect_1(U_5934,U_5932,U_5931)),U_5933) = k4_rlvect_1(U_5934,k3_rlvect_1(U_5934,U_5932,U_5933),k3_rlvect_1(U_5934,U_5931,U_5933))
| ~ m1_subset_1(U_5931,u1_struct_0(U_5934))
| ~ m1_subset_1(U_5932,u1_struct_0(U_5934))
| ~ m1_subset_1(U_5933,k1_numbers)
| ~ l2_rlvect_1(U_5934)
| ~ v7_rlvect_1(U_5934)
| ~ v6_rlvect_1(U_5934)
| ~ v5_rlvect_1(U_5934)
| ~ v4_rlvect_1(U_5934)
| ~ v3_rlvect_1(U_5934)
| v3_struct_0(U_5934) ),
inference(clausify,[status(thm)],[f_2282_3]) ).
fof(f_2283_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k3_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,C,D,E)),B) = k4_rlvect_1(A,k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)),k3_rlvect_1(A,E,B))
| ~ m1_subset_1(E,u1_struct_0(A)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_rlvect_1]) ).
fof(f_2283_2,plain,
! [U_5939] :
( ! [U_5938] :
( ! [U_5937] :
( ! [U_5936] :
( ! [U_5935] :
( k3_rlvect_1(U_5939,k9_rlvect_1(U_5939,k8_rlvect_1(U_5939,U_5937,U_5936,U_5935)),U_5938) = k4_rlvect_1(U_5939,k4_rlvect_1(U_5939,k3_rlvect_1(U_5939,U_5937,U_5938),k3_rlvect_1(U_5939,U_5936,U_5938)),k3_rlvect_1(U_5939,U_5935,U_5938))
| ~ m1_subset_1(U_5935,u1_struct_0(U_5939)) )
| ~ m1_subset_1(U_5936,u1_struct_0(U_5939)) )
| ~ m1_subset_1(U_5937,u1_struct_0(U_5939)) )
| ~ m1_subset_1(U_5938,k1_numbers) )
| ~ l2_rlvect_1(U_5939)
| ~ v7_rlvect_1(U_5939)
| ~ v6_rlvect_1(U_5939)
| ~ v5_rlvect_1(U_5939)
| ~ v4_rlvect_1(U_5939)
| ~ v3_rlvect_1(U_5939)
| v3_struct_0(U_5939) ),
inference(variable_rename,[status(thm)],[f_2283_1]) ).
fof(f_2283_3,plain,
! [U_5936,U_5939,U_5938,U_5935,U_5937] :
( k3_rlvect_1(U_5939,k9_rlvect_1(U_5939,k8_rlvect_1(U_5939,U_5937,U_5936,U_5935)),U_5938) = k4_rlvect_1(U_5939,k4_rlvect_1(U_5939,k3_rlvect_1(U_5939,U_5937,U_5938),k3_rlvect_1(U_5939,U_5936,U_5938)),k3_rlvect_1(U_5939,U_5935,U_5938))
| ~ m1_subset_1(U_5935,u1_struct_0(U_5939))
| ~ m1_subset_1(U_5936,u1_struct_0(U_5939))
| ~ m1_subset_1(U_5937,u1_struct_0(U_5939))
| ~ m1_subset_1(U_5938,k1_numbers)
| ~ l2_rlvect_1(U_5939)
| ~ v7_rlvect_1(U_5939)
| ~ v6_rlvect_1(U_5939)
| ~ v5_rlvect_1(U_5939)
| ~ v4_rlvect_1(U_5939)
| ~ v3_rlvect_1(U_5939)
| v3_struct_0(U_5939) ),
inference(definitional_conversion,[status(esa)],[f_2283_2]) ).
cnf(f_2283_4,plain,
( k3_rlvect_1(U_5939,k9_rlvect_1(U_5939,k8_rlvect_1(U_5939,U_5937,U_5936,U_5935)),U_5938) = k4_rlvect_1(U_5939,k4_rlvect_1(U_5939,k3_rlvect_1(U_5939,U_5937,U_5938),k3_rlvect_1(U_5939,U_5936,U_5938)),k3_rlvect_1(U_5939,U_5935,U_5938))
| ~ m1_subset_1(U_5935,u1_struct_0(U_5939))
| ~ m1_subset_1(U_5936,u1_struct_0(U_5939))
| ~ m1_subset_1(U_5937,u1_struct_0(U_5939))
| ~ m1_subset_1(U_5938,k1_numbers)
| ~ l2_rlvect_1(U_5939)
| ~ v7_rlvect_1(U_5939)
| ~ v6_rlvect_1(U_5939)
| ~ v5_rlvect_1(U_5939)
| ~ v4_rlvect_1(U_5939)
| ~ v3_rlvect_1(U_5939)
| v3_struct_0(U_5939) ),
inference(clausify,[status(thm)],[f_2283_3]) ).
fof(f_2284_1,plain,
! [A] :
( k5_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A)))) = k1_rlvect_1(A)
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_rlvect_1]) ).
fof(f_2284_2,plain,
! [U_5940] :
( k5_rlvect_1(U_5940,k9_rlvect_1(U_5940,k6_finseq_1(u1_struct_0(U_5940)))) = k1_rlvect_1(U_5940)
| ~ l1_rlvect_1(U_5940)
| ~ v6_rlvect_1(U_5940)
| ~ v5_rlvect_1(U_5940)
| ~ v4_rlvect_1(U_5940)
| v3_struct_0(U_5940) ),
inference(variable_rename,[status(thm)],[f_2284_1]) ).
fof(f_2284_3,plain,
! [U_5940] :
( k5_rlvect_1(U_5940,k9_rlvect_1(U_5940,k6_finseq_1(u1_struct_0(U_5940)))) = k1_rlvect_1(U_5940)
| ~ l1_rlvect_1(U_5940)
| ~ v6_rlvect_1(U_5940)
| ~ v5_rlvect_1(U_5940)
| ~ v4_rlvect_1(U_5940)
| v3_struct_0(U_5940) ),
inference(definitional_conversion,[status(esa)],[f_2284_2]) ).
cnf(f_2284_4,plain,
( k5_rlvect_1(U_5940,k9_rlvect_1(U_5940,k6_finseq_1(u1_struct_0(U_5940)))) = k1_rlvect_1(U_5940)
| ~ l1_rlvect_1(U_5940)
| ~ v6_rlvect_1(U_5940)
| ~ v5_rlvect_1(U_5940)
| ~ v4_rlvect_1(U_5940)
| v3_struct_0(U_5940) ),
inference(clausify,[status(thm)],[f_2284_3]) ).
fof(f_2285_1,plain,
! [A] :
( ! [B] :
( k5_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B))) = k5_rlvect_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t69_rlvect_1]) ).
fof(f_2285_2,plain,
! [U_5942] :
( ! [U_5941] :
( k5_rlvect_1(U_5942,k9_rlvect_1(U_5942,k12_finseq_1(u1_struct_0(U_5942),U_5941))) = k5_rlvect_1(U_5942,U_5941)
| ~ m1_subset_1(U_5941,u1_struct_0(U_5942)) )
| ~ l1_rlvect_1(U_5942)
| ~ v6_rlvect_1(U_5942)
| ~ v5_rlvect_1(U_5942)
| ~ v4_rlvect_1(U_5942)
| v3_struct_0(U_5942) ),
inference(variable_rename,[status(thm)],[f_2285_1]) ).
fof(f_2285_3,plain,
! [U_5942,U_5941] :
( k5_rlvect_1(U_5942,k9_rlvect_1(U_5942,k12_finseq_1(u1_struct_0(U_5942),U_5941))) = k5_rlvect_1(U_5942,U_5941)
| ~ m1_subset_1(U_5941,u1_struct_0(U_5942))
| ~ l1_rlvect_1(U_5942)
| ~ v6_rlvect_1(U_5942)
| ~ v5_rlvect_1(U_5942)
| ~ v4_rlvect_1(U_5942)
| v3_struct_0(U_5942) ),
inference(definitional_conversion,[status(esa)],[f_2285_2]) ).
cnf(f_2285_4,plain,
( k5_rlvect_1(U_5942,k9_rlvect_1(U_5942,k12_finseq_1(u1_struct_0(U_5942),U_5941))) = k5_rlvect_1(U_5942,U_5941)
| ~ m1_subset_1(U_5941,u1_struct_0(U_5942))
| ~ l1_rlvect_1(U_5942)
| ~ v6_rlvect_1(U_5942)
| ~ v5_rlvect_1(U_5942)
| ~ v4_rlvect_1(U_5942)
| v3_struct_0(U_5942) ),
inference(clausify,[status(thm)],[f_2285_3]) ).
fof(f_2286_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C))) = k6_rlvect_1(A,k5_rlvect_1(A,B),C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t70_rlvect_1]) ).
fof(f_2286_2,plain,
! [U_5945] :
( ! [U_5944] :
( ! [U_5943] :
( k5_rlvect_1(U_5945,k9_rlvect_1(U_5945,k7_rlvect_1(U_5945,U_5944,U_5943))) = k6_rlvect_1(U_5945,k5_rlvect_1(U_5945,U_5944),U_5943)
| ~ m1_subset_1(U_5943,u1_struct_0(U_5945)) )
| ~ m1_subset_1(U_5944,u1_struct_0(U_5945)) )
| ~ l1_rlvect_1(U_5945)
| ~ v6_rlvect_1(U_5945)
| ~ v5_rlvect_1(U_5945)
| ~ v4_rlvect_1(U_5945)
| ~ v3_rlvect_1(U_5945)
| v3_struct_0(U_5945) ),
inference(variable_rename,[status(thm)],[f_2286_1]) ).
fof(f_2286_3,plain,
! [U_5945,U_5944,U_5943] :
( k5_rlvect_1(U_5945,k9_rlvect_1(U_5945,k7_rlvect_1(U_5945,U_5944,U_5943))) = k6_rlvect_1(U_5945,k5_rlvect_1(U_5945,U_5944),U_5943)
| ~ m1_subset_1(U_5943,u1_struct_0(U_5945))
| ~ m1_subset_1(U_5944,u1_struct_0(U_5945))
| ~ l1_rlvect_1(U_5945)
| ~ v6_rlvect_1(U_5945)
| ~ v5_rlvect_1(U_5945)
| ~ v4_rlvect_1(U_5945)
| ~ v3_rlvect_1(U_5945)
| v3_struct_0(U_5945) ),
inference(definitional_conversion,[status(esa)],[f_2286_2]) ).
cnf(f_2286_4,plain,
( k5_rlvect_1(U_5945,k9_rlvect_1(U_5945,k7_rlvect_1(U_5945,U_5944,U_5943))) = k6_rlvect_1(U_5945,k5_rlvect_1(U_5945,U_5944),U_5943)
| ~ m1_subset_1(U_5943,u1_struct_0(U_5945))
| ~ m1_subset_1(U_5944,u1_struct_0(U_5945))
| ~ l1_rlvect_1(U_5945)
| ~ v6_rlvect_1(U_5945)
| ~ v5_rlvect_1(U_5945)
| ~ v4_rlvect_1(U_5945)
| ~ v3_rlvect_1(U_5945)
| v3_struct_0(U_5945) ),
inference(clausify,[status(thm)],[f_2286_3]) ).
fof(f_2287_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,B,C,D))) = k6_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,B),C),D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t71_rlvect_1]) ).
fof(f_2287_2,plain,
! [U_5949] :
( ! [U_5948] :
( ! [U_5947] :
( ! [U_5946] :
( k5_rlvect_1(U_5949,k9_rlvect_1(U_5949,k8_rlvect_1(U_5949,U_5948,U_5947,U_5946))) = k6_rlvect_1(U_5949,k6_rlvect_1(U_5949,k5_rlvect_1(U_5949,U_5948),U_5947),U_5946)
| ~ m1_subset_1(U_5946,u1_struct_0(U_5949)) )
| ~ m1_subset_1(U_5947,u1_struct_0(U_5949)) )
| ~ m1_subset_1(U_5948,u1_struct_0(U_5949)) )
| ~ l1_rlvect_1(U_5949)
| ~ v6_rlvect_1(U_5949)
| ~ v5_rlvect_1(U_5949)
| ~ v4_rlvect_1(U_5949)
| ~ v3_rlvect_1(U_5949)
| v3_struct_0(U_5949) ),
inference(variable_rename,[status(thm)],[f_2287_1]) ).
fof(f_2287_3,plain,
! [U_5947,U_5946,U_5948,U_5949] :
( k5_rlvect_1(U_5949,k9_rlvect_1(U_5949,k8_rlvect_1(U_5949,U_5948,U_5947,U_5946))) = k6_rlvect_1(U_5949,k6_rlvect_1(U_5949,k5_rlvect_1(U_5949,U_5948),U_5947),U_5946)
| ~ m1_subset_1(U_5946,u1_struct_0(U_5949))
| ~ m1_subset_1(U_5947,u1_struct_0(U_5949))
| ~ m1_subset_1(U_5948,u1_struct_0(U_5949))
| ~ l1_rlvect_1(U_5949)
| ~ v6_rlvect_1(U_5949)
| ~ v5_rlvect_1(U_5949)
| ~ v4_rlvect_1(U_5949)
| ~ v3_rlvect_1(U_5949)
| v3_struct_0(U_5949) ),
inference(definitional_conversion,[status(esa)],[f_2287_2]) ).
cnf(f_2287_4,plain,
( k5_rlvect_1(U_5949,k9_rlvect_1(U_5949,k8_rlvect_1(U_5949,U_5948,U_5947,U_5946))) = k6_rlvect_1(U_5949,k6_rlvect_1(U_5949,k5_rlvect_1(U_5949,U_5948),U_5947),U_5946)
| ~ m1_subset_1(U_5946,u1_struct_0(U_5949))
| ~ m1_subset_1(U_5947,u1_struct_0(U_5949))
| ~ m1_subset_1(U_5948,u1_struct_0(U_5949))
| ~ l1_rlvect_1(U_5949)
| ~ v6_rlvect_1(U_5949)
| ~ v5_rlvect_1(U_5949)
| ~ v4_rlvect_1(U_5949)
| ~ v3_rlvect_1(U_5949)
| v3_struct_0(U_5949) ),
inference(clausify,[status(thm)],[f_2287_3]) ).
fof(f_2288_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k9_rlvect_1(A,k7_rlvect_1(A,C,B))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t72_rlvect_1]) ).
fof(f_2288_2,plain,
! [U_5952] :
( ! [U_5951] :
( ! [U_5950] :
( k9_rlvect_1(U_5952,k7_rlvect_1(U_5952,U_5951,U_5950)) = k9_rlvect_1(U_5952,k7_rlvect_1(U_5952,U_5950,U_5951))
| ~ m1_subset_1(U_5950,u1_struct_0(U_5952)) )
| ~ m1_subset_1(U_5951,u1_struct_0(U_5952)) )
| ~ l1_rlvect_1(U_5952)
| ~ v6_rlvect_1(U_5952)
| ~ v5_rlvect_1(U_5952)
| ~ v4_rlvect_1(U_5952)
| ~ v3_rlvect_1(U_5952)
| v3_struct_0(U_5952) ),
inference(variable_rename,[status(thm)],[f_2288_1]) ).
fof(f_2288_3,plain,
! [U_5950,U_5951,U_5952] :
( k9_rlvect_1(U_5952,k7_rlvect_1(U_5952,U_5951,U_5950)) = k9_rlvect_1(U_5952,k7_rlvect_1(U_5952,U_5950,U_5951))
| ~ m1_subset_1(U_5950,u1_struct_0(U_5952))
| ~ m1_subset_1(U_5951,u1_struct_0(U_5952))
| ~ l1_rlvect_1(U_5952)
| ~ v6_rlvect_1(U_5952)
| ~ v5_rlvect_1(U_5952)
| ~ v4_rlvect_1(U_5952)
| ~ v3_rlvect_1(U_5952)
| v3_struct_0(U_5952) ),
inference(definitional_conversion,[status(esa)],[f_2288_2]) ).
cnf(f_2288_4,plain,
( k9_rlvect_1(U_5952,k7_rlvect_1(U_5952,U_5951,U_5950)) = k9_rlvect_1(U_5952,k7_rlvect_1(U_5952,U_5950,U_5951))
| ~ m1_subset_1(U_5950,u1_struct_0(U_5952))
| ~ m1_subset_1(U_5951,u1_struct_0(U_5952))
| ~ l1_rlvect_1(U_5952)
| ~ v6_rlvect_1(U_5952)
| ~ v5_rlvect_1(U_5952)
| ~ v4_rlvect_1(U_5952)
| ~ v3_rlvect_1(U_5952)
| v3_struct_0(U_5952) ),
inference(clausify,[status(thm)],[f_2288_3]) ).
fof(f_2289_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C)))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t73_rlvect_1]) ).
fof(f_2289_2,plain,
! [U_5955] :
( ! [U_5954] :
( ! [U_5953] :
( k9_rlvect_1(U_5955,k7_rlvect_1(U_5955,U_5954,U_5953)) = k2_rlvect_1(U_5955,k9_rlvect_1(U_5955,k12_finseq_1(u1_struct_0(U_5955),U_5954)),k9_rlvect_1(U_5955,k12_finseq_1(u1_struct_0(U_5955),U_5953)))
| ~ m1_subset_1(U_5953,u1_struct_0(U_5955)) )
| ~ m1_subset_1(U_5954,u1_struct_0(U_5955)) )
| ~ l1_rlvect_1(U_5955)
| ~ v6_rlvect_1(U_5955)
| ~ v5_rlvect_1(U_5955)
| ~ v4_rlvect_1(U_5955)
| v3_struct_0(U_5955) ),
inference(variable_rename,[status(thm)],[f_2289_1]) ).
fof(f_2289_3,plain,
! [U_5955,U_5954,U_5953] :
( k9_rlvect_1(U_5955,k7_rlvect_1(U_5955,U_5954,U_5953)) = k2_rlvect_1(U_5955,k9_rlvect_1(U_5955,k12_finseq_1(u1_struct_0(U_5955),U_5954)),k9_rlvect_1(U_5955,k12_finseq_1(u1_struct_0(U_5955),U_5953)))
| ~ m1_subset_1(U_5953,u1_struct_0(U_5955))
| ~ m1_subset_1(U_5954,u1_struct_0(U_5955))
| ~ l1_rlvect_1(U_5955)
| ~ v6_rlvect_1(U_5955)
| ~ v5_rlvect_1(U_5955)
| ~ v4_rlvect_1(U_5955)
| v3_struct_0(U_5955) ),
inference(definitional_conversion,[status(esa)],[f_2289_2]) ).
cnf(f_2289_4,plain,
( k9_rlvect_1(U_5955,k7_rlvect_1(U_5955,U_5954,U_5953)) = k2_rlvect_1(U_5955,k9_rlvect_1(U_5955,k12_finseq_1(u1_struct_0(U_5955),U_5954)),k9_rlvect_1(U_5955,k12_finseq_1(u1_struct_0(U_5955),U_5953)))
| ~ m1_subset_1(U_5953,u1_struct_0(U_5955))
| ~ m1_subset_1(U_5954,u1_struct_0(U_5955))
| ~ l1_rlvect_1(U_5955)
| ~ v6_rlvect_1(U_5955)
| ~ v5_rlvect_1(U_5955)
| ~ v4_rlvect_1(U_5955)
| v3_struct_0(U_5955) ),
inference(clausify,[status(thm)],[f_2289_3]) ).
fof(f_2290_1,plain,
! [A] :
( k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A))) = k1_rlvect_1(A)
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t74_rlvect_1]) ).
fof(f_2290_2,plain,
! [U_5956] :
( k9_rlvect_1(U_5956,k7_rlvect_1(U_5956,k1_rlvect_1(U_5956),k1_rlvect_1(U_5956))) = k1_rlvect_1(U_5956)
| ~ l1_rlvect_1(U_5956)
| ~ v6_rlvect_1(U_5956)
| ~ v5_rlvect_1(U_5956)
| ~ v4_rlvect_1(U_5956)
| v3_struct_0(U_5956) ),
inference(variable_rename,[status(thm)],[f_2290_1]) ).
fof(f_2290_3,plain,
! [U_5956] :
( k9_rlvect_1(U_5956,k7_rlvect_1(U_5956,k1_rlvect_1(U_5956),k1_rlvect_1(U_5956))) = k1_rlvect_1(U_5956)
| ~ l1_rlvect_1(U_5956)
| ~ v6_rlvect_1(U_5956)
| ~ v5_rlvect_1(U_5956)
| ~ v4_rlvect_1(U_5956)
| v3_struct_0(U_5956) ),
inference(definitional_conversion,[status(esa)],[f_2290_2]) ).
cnf(f_2290_4,plain,
( k9_rlvect_1(U_5956,k7_rlvect_1(U_5956,k1_rlvect_1(U_5956),k1_rlvect_1(U_5956))) = k1_rlvect_1(U_5956)
| ~ l1_rlvect_1(U_5956)
| ~ v6_rlvect_1(U_5956)
| ~ v5_rlvect_1(U_5956)
| ~ v4_rlvect_1(U_5956)
| v3_struct_0(U_5956) ),
inference(clausify,[status(thm)],[f_2290_3]) ).
fof(f_2291_1,plain,
! [A] :
( ! [B] :
( ( k9_rlvect_1(A,k7_rlvect_1(A,B,k1_rlvect_1(A))) = B
& k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),B)) = B )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t75_rlvect_1]) ).
fof(f_2291_2,plain,
! [U_5958] :
( ! [U_5957] :
( ( k9_rlvect_1(U_5958,k7_rlvect_1(U_5958,U_5957,k1_rlvect_1(U_5958))) = U_5957
& k9_rlvect_1(U_5958,k7_rlvect_1(U_5958,k1_rlvect_1(U_5958),U_5957)) = U_5957 )
| ~ m1_subset_1(U_5957,u1_struct_0(U_5958)) )
| ~ l1_rlvect_1(U_5958)
| ~ v6_rlvect_1(U_5958)
| ~ v5_rlvect_1(U_5958)
| ~ v4_rlvect_1(U_5958)
| v3_struct_0(U_5958) ),
inference(variable_rename,[status(thm)],[f_2291_1]) ).
fof(f_2291_3,plain,
( ! [U_5958,U_5957] :
( k9_rlvect_1(U_5958,k7_rlvect_1(U_5958,U_5957,k1_rlvect_1(U_5958))) = U_5957
| ~ sP1073(U_5958,U_5957) )
& ! [U_5958,U_5957] :
( k9_rlvect_1(U_5958,k7_rlvect_1(U_5958,k1_rlvect_1(U_5958),U_5957)) = U_5957
| ~ sP1073(U_5958,U_5957) )
& ! [U_5958,U_5957] :
( sP1073(U_5958,U_5957)
| ~ m1_subset_1(U_5957,u1_struct_0(U_5958))
| ~ l1_rlvect_1(U_5958)
| ~ v6_rlvect_1(U_5958)
| ~ v5_rlvect_1(U_5958)
| ~ v4_rlvect_1(U_5958)
| v3_struct_0(U_5958) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1073])],[f_2291_2]) ).
cnf(f_2291_4,plain,
( sP1073(U_5958,U_5957)
| ~ m1_subset_1(U_5957,u1_struct_0(U_5958))
| ~ l1_rlvect_1(U_5958)
| ~ v6_rlvect_1(U_5958)
| ~ v5_rlvect_1(U_5958)
| ~ v4_rlvect_1(U_5958)
| v3_struct_0(U_5958) ),
inference(clausify,[status(thm)],[f_2291_3]) ).
cnf(f_2291_5,plain,
( k9_rlvect_1(U_5958,k7_rlvect_1(U_5958,k1_rlvect_1(U_5958),U_5957)) = U_5957
| ~ sP1073(U_5958,U_5957) ),
inference(clausify,[status(thm)],[f_2291_3]) ).
cnf(f_2291_6,plain,
( k9_rlvect_1(U_5958,k7_rlvect_1(U_5958,U_5957,k1_rlvect_1(U_5958))) = U_5957
| ~ sP1073(U_5958,U_5957) ),
inference(clausify,[status(thm)],[f_2291_3]) ).
fof(f_2292_1,plain,
! [A] :
( ! [B] :
( ( k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),B)) = k1_rlvect_1(A)
& k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,B))) = k1_rlvect_1(A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t76_rlvect_1]) ).
fof(f_2292_2,plain,
! [U_5960] :
( ! [U_5959] :
( ( k9_rlvect_1(U_5960,k7_rlvect_1(U_5960,k5_rlvect_1(U_5960,U_5959),U_5959)) = k1_rlvect_1(U_5960)
& k9_rlvect_1(U_5960,k7_rlvect_1(U_5960,U_5959,k5_rlvect_1(U_5960,U_5959))) = k1_rlvect_1(U_5960) )
| ~ m1_subset_1(U_5959,u1_struct_0(U_5960)) )
| ~ l1_rlvect_1(U_5960)
| ~ v6_rlvect_1(U_5960)
| ~ v5_rlvect_1(U_5960)
| ~ v4_rlvect_1(U_5960)
| v3_struct_0(U_5960) ),
inference(variable_rename,[status(thm)],[f_2292_1]) ).
fof(f_2292_3,plain,
( ! [U_5959,U_5960] :
( k9_rlvect_1(U_5960,k7_rlvect_1(U_5960,k5_rlvect_1(U_5960,U_5959),U_5959)) = k1_rlvect_1(U_5960)
| ~ sP1074(U_5959,U_5960) )
& ! [U_5959,U_5960] :
( k9_rlvect_1(U_5960,k7_rlvect_1(U_5960,U_5959,k5_rlvect_1(U_5960,U_5959))) = k1_rlvect_1(U_5960)
| ~ sP1074(U_5959,U_5960) )
& ! [U_5959,U_5960] :
( sP1074(U_5959,U_5960)
| ~ m1_subset_1(U_5959,u1_struct_0(U_5960))
| ~ l1_rlvect_1(U_5960)
| ~ v6_rlvect_1(U_5960)
| ~ v5_rlvect_1(U_5960)
| ~ v4_rlvect_1(U_5960)
| v3_struct_0(U_5960) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1074])],[f_2292_2]) ).
cnf(f_2292_4,plain,
( sP1074(U_5959,U_5960)
| ~ m1_subset_1(U_5959,u1_struct_0(U_5960))
| ~ l1_rlvect_1(U_5960)
| ~ v6_rlvect_1(U_5960)
| ~ v5_rlvect_1(U_5960)
| ~ v4_rlvect_1(U_5960)
| v3_struct_0(U_5960) ),
inference(clausify,[status(thm)],[f_2292_3]) ).
cnf(f_2292_5,plain,
( k9_rlvect_1(U_5960,k7_rlvect_1(U_5960,U_5959,k5_rlvect_1(U_5960,U_5959))) = k1_rlvect_1(U_5960)
| ~ sP1074(U_5959,U_5960) ),
inference(clausify,[status(thm)],[f_2292_3]) ).
cnf(f_2292_6,plain,
( k9_rlvect_1(U_5960,k7_rlvect_1(U_5960,k5_rlvect_1(U_5960,U_5959),U_5959)) = k1_rlvect_1(U_5960)
| ~ sP1074(U_5959,U_5960) ),
inference(clausify,[status(thm)],[f_2292_3]) ).
fof(f_2293_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,C))) = k6_rlvect_1(A,B,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t77_rlvect_1]) ).
fof(f_2293_2,plain,
! [U_5963] :
( ! [U_5962] :
( ! [U_5961] :
( k9_rlvect_1(U_5963,k7_rlvect_1(U_5963,U_5962,k5_rlvect_1(U_5963,U_5961))) = k6_rlvect_1(U_5963,U_5962,U_5961)
| ~ m1_subset_1(U_5961,u1_struct_0(U_5963)) )
| ~ m1_subset_1(U_5962,u1_struct_0(U_5963)) )
| ~ l1_rlvect_1(U_5963)
| ~ v6_rlvect_1(U_5963)
| ~ v5_rlvect_1(U_5963)
| ~ v4_rlvect_1(U_5963)
| v3_struct_0(U_5963) ),
inference(variable_rename,[status(thm)],[f_2293_1]) ).
fof(f_2293_3,plain,
! [U_5962,U_5961,U_5963] :
( k9_rlvect_1(U_5963,k7_rlvect_1(U_5963,U_5962,k5_rlvect_1(U_5963,U_5961))) = k6_rlvect_1(U_5963,U_5962,U_5961)
| ~ m1_subset_1(U_5961,u1_struct_0(U_5963))
| ~ m1_subset_1(U_5962,u1_struct_0(U_5963))
| ~ l1_rlvect_1(U_5963)
| ~ v6_rlvect_1(U_5963)
| ~ v5_rlvect_1(U_5963)
| ~ v4_rlvect_1(U_5963)
| v3_struct_0(U_5963) ),
inference(definitional_conversion,[status(esa)],[f_2293_2]) ).
cnf(f_2293_4,plain,
( k9_rlvect_1(U_5963,k7_rlvect_1(U_5963,U_5962,k5_rlvect_1(U_5963,U_5961))) = k6_rlvect_1(U_5963,U_5962,U_5961)
| ~ m1_subset_1(U_5961,u1_struct_0(U_5963))
| ~ m1_subset_1(U_5962,u1_struct_0(U_5963))
| ~ l1_rlvect_1(U_5963)
| ~ v6_rlvect_1(U_5963)
| ~ v5_rlvect_1(U_5963)
| ~ v4_rlvect_1(U_5963)
| v3_struct_0(U_5963) ),
inference(clausify,[status(thm)],[f_2293_3]) ).
fof(f_2294_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C))) = k5_rlvect_1(A,k2_rlvect_1(A,C,B))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t78_rlvect_1]) ).
fof(f_2294_2,plain,
! [U_5966] :
( ! [U_5965] :
( ! [U_5964] :
( k9_rlvect_1(U_5966,k7_rlvect_1(U_5966,k5_rlvect_1(U_5966,U_5965),k5_rlvect_1(U_5966,U_5964))) = k5_rlvect_1(U_5966,k2_rlvect_1(U_5966,U_5964,U_5965))
| ~ m1_subset_1(U_5964,u1_struct_0(U_5966)) )
| ~ m1_subset_1(U_5965,u1_struct_0(U_5966)) )
| ~ l1_rlvect_1(U_5966)
| ~ v6_rlvect_1(U_5966)
| ~ v5_rlvect_1(U_5966)
| ~ v4_rlvect_1(U_5966)
| v3_struct_0(U_5966) ),
inference(variable_rename,[status(thm)],[f_2294_1]) ).
fof(f_2294_3,plain,
! [U_5964,U_5965,U_5966] :
( k9_rlvect_1(U_5966,k7_rlvect_1(U_5966,k5_rlvect_1(U_5966,U_5965),k5_rlvect_1(U_5966,U_5964))) = k5_rlvect_1(U_5966,k2_rlvect_1(U_5966,U_5964,U_5965))
| ~ m1_subset_1(U_5964,u1_struct_0(U_5966))
| ~ m1_subset_1(U_5965,u1_struct_0(U_5966))
| ~ l1_rlvect_1(U_5966)
| ~ v6_rlvect_1(U_5966)
| ~ v5_rlvect_1(U_5966)
| ~ v4_rlvect_1(U_5966)
| v3_struct_0(U_5966) ),
inference(definitional_conversion,[status(esa)],[f_2294_2]) ).
cnf(f_2294_4,plain,
( k9_rlvect_1(U_5966,k7_rlvect_1(U_5966,k5_rlvect_1(U_5966,U_5965),k5_rlvect_1(U_5966,U_5964))) = k5_rlvect_1(U_5966,k2_rlvect_1(U_5966,U_5964,U_5965))
| ~ m1_subset_1(U_5964,u1_struct_0(U_5966))
| ~ m1_subset_1(U_5965,u1_struct_0(U_5966))
| ~ l1_rlvect_1(U_5966)
| ~ v6_rlvect_1(U_5966)
| ~ v5_rlvect_1(U_5966)
| ~ v4_rlvect_1(U_5966)
| v3_struct_0(U_5966) ),
inference(clausify,[status(thm)],[f_2294_3]) ).
fof(f_2295_1,plain,
! [A] :
( ! [B] :
( k9_rlvect_1(A,k7_rlvect_1(A,B,B)) = k3_rlvect_1(A,B,np__2)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t79_rlvect_1]) ).
fof(f_2295_2,plain,
! [U_5968] :
( ! [U_5967] :
( k9_rlvect_1(U_5968,k7_rlvect_1(U_5968,U_5967,U_5967)) = k3_rlvect_1(U_5968,U_5967,np__2)
| ~ m1_subset_1(U_5967,u1_struct_0(U_5968)) )
| ~ l2_rlvect_1(U_5968)
| ~ v7_rlvect_1(U_5968)
| ~ v6_rlvect_1(U_5968)
| ~ v5_rlvect_1(U_5968)
| ~ v4_rlvect_1(U_5968)
| ~ v3_rlvect_1(U_5968)
| v3_struct_0(U_5968) ),
inference(variable_rename,[status(thm)],[f_2295_1]) ).
fof(f_2295_3,plain,
! [U_5967,U_5968] :
( k9_rlvect_1(U_5968,k7_rlvect_1(U_5968,U_5967,U_5967)) = k3_rlvect_1(U_5968,U_5967,np__2)
| ~ m1_subset_1(U_5967,u1_struct_0(U_5968))
| ~ l2_rlvect_1(U_5968)
| ~ v7_rlvect_1(U_5968)
| ~ v6_rlvect_1(U_5968)
| ~ v5_rlvect_1(U_5968)
| ~ v4_rlvect_1(U_5968)
| ~ v3_rlvect_1(U_5968)
| v3_struct_0(U_5968) ),
inference(definitional_conversion,[status(esa)],[f_2295_2]) ).
cnf(f_2295_4,plain,
( k9_rlvect_1(U_5968,k7_rlvect_1(U_5968,U_5967,U_5967)) = k3_rlvect_1(U_5968,U_5967,np__2)
| ~ m1_subset_1(U_5967,u1_struct_0(U_5968))
| ~ l2_rlvect_1(U_5968)
| ~ v7_rlvect_1(U_5968)
| ~ v6_rlvect_1(U_5968)
| ~ v5_rlvect_1(U_5968)
| ~ v4_rlvect_1(U_5968)
| ~ v3_rlvect_1(U_5968)
| v3_struct_0(U_5968) ),
inference(clausify,[status(thm)],[f_2295_3]) ).
fof(f_2296_1,plain,
! [A] :
( ! [B] :
( k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,B))) = k3_rlvect_1(A,B,k1_real_1(np__2))
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t80_rlvect_1]) ).
fof(f_2296_2,plain,
! [U_5970] :
( ! [U_5969] :
( k9_rlvect_1(U_5970,k7_rlvect_1(U_5970,k5_rlvect_1(U_5970,U_5969),k5_rlvect_1(U_5970,U_5969))) = k3_rlvect_1(U_5970,U_5969,k1_real_1(np__2))
| ~ m1_subset_1(U_5969,u1_struct_0(U_5970)) )
| ~ l2_rlvect_1(U_5970)
| ~ v7_rlvect_1(U_5970)
| ~ v6_rlvect_1(U_5970)
| ~ v5_rlvect_1(U_5970)
| ~ v4_rlvect_1(U_5970)
| ~ v3_rlvect_1(U_5970)
| v3_struct_0(U_5970) ),
inference(variable_rename,[status(thm)],[f_2296_1]) ).
fof(f_2296_3,plain,
! [U_5970,U_5969] :
( k9_rlvect_1(U_5970,k7_rlvect_1(U_5970,k5_rlvect_1(U_5970,U_5969),k5_rlvect_1(U_5970,U_5969))) = k3_rlvect_1(U_5970,U_5969,k1_real_1(np__2))
| ~ m1_subset_1(U_5969,u1_struct_0(U_5970))
| ~ l2_rlvect_1(U_5970)
| ~ v7_rlvect_1(U_5970)
| ~ v6_rlvect_1(U_5970)
| ~ v5_rlvect_1(U_5970)
| ~ v4_rlvect_1(U_5970)
| ~ v3_rlvect_1(U_5970)
| v3_struct_0(U_5970) ),
inference(definitional_conversion,[status(esa)],[f_2296_2]) ).
cnf(f_2296_4,plain,
( k9_rlvect_1(U_5970,k7_rlvect_1(U_5970,k5_rlvect_1(U_5970,U_5969),k5_rlvect_1(U_5970,U_5969))) = k3_rlvect_1(U_5970,U_5969,k1_real_1(np__2))
| ~ m1_subset_1(U_5969,u1_struct_0(U_5970))
| ~ l2_rlvect_1(U_5970)
| ~ v7_rlvect_1(U_5970)
| ~ v6_rlvect_1(U_5970)
| ~ v5_rlvect_1(U_5970)
| ~ v4_rlvect_1(U_5970)
| ~ v3_rlvect_1(U_5970)
| v3_struct_0(U_5970) ),
inference(clausify,[status(thm)],[f_2296_3]) ).
fof(f_2297_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),D)))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t81_rlvect_1]) ).
fof(f_2297_2,plain,
! [U_5974] :
( ! [U_5973] :
( ! [U_5972] :
( ! [U_5971] :
( k9_rlvect_1(U_5974,k8_rlvect_1(U_5974,U_5973,U_5972,U_5971)) = k2_rlvect_1(U_5974,k2_rlvect_1(U_5974,k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5973)),k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5972))),k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5971)))
| ~ m1_subset_1(U_5971,u1_struct_0(U_5974)) )
| ~ m1_subset_1(U_5972,u1_struct_0(U_5974)) )
| ~ m1_subset_1(U_5973,u1_struct_0(U_5974)) )
| ~ l1_rlvect_1(U_5974)
| ~ v6_rlvect_1(U_5974)
| ~ v5_rlvect_1(U_5974)
| ~ v4_rlvect_1(U_5974)
| v3_struct_0(U_5974) ),
inference(variable_rename,[status(thm)],[f_2297_1]) ).
fof(f_2297_3,plain,
! [U_5971,U_5972,U_5973,U_5974] :
( k9_rlvect_1(U_5974,k8_rlvect_1(U_5974,U_5973,U_5972,U_5971)) = k2_rlvect_1(U_5974,k2_rlvect_1(U_5974,k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5973)),k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5972))),k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5971)))
| ~ m1_subset_1(U_5971,u1_struct_0(U_5974))
| ~ m1_subset_1(U_5972,u1_struct_0(U_5974))
| ~ m1_subset_1(U_5973,u1_struct_0(U_5974))
| ~ l1_rlvect_1(U_5974)
| ~ v6_rlvect_1(U_5974)
| ~ v5_rlvect_1(U_5974)
| ~ v4_rlvect_1(U_5974)
| v3_struct_0(U_5974) ),
inference(definitional_conversion,[status(esa)],[f_2297_2]) ).
cnf(f_2297_4,plain,
( k9_rlvect_1(U_5974,k8_rlvect_1(U_5974,U_5973,U_5972,U_5971)) = k2_rlvect_1(U_5974,k2_rlvect_1(U_5974,k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5973)),k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5972))),k9_rlvect_1(U_5974,k12_finseq_1(u1_struct_0(U_5974),U_5971)))
| ~ m1_subset_1(U_5971,u1_struct_0(U_5974))
| ~ m1_subset_1(U_5972,u1_struct_0(U_5974))
| ~ m1_subset_1(U_5973,u1_struct_0(U_5974))
| ~ l1_rlvect_1(U_5974)
| ~ v6_rlvect_1(U_5974)
| ~ v5_rlvect_1(U_5974)
| ~ v4_rlvect_1(U_5974)
| v3_struct_0(U_5974) ),
inference(clausify,[status(thm)],[f_2297_3]) ).
fof(f_2298_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t82_rlvect_1]) ).
fof(f_2298_2,plain,
! [U_5978] :
( ! [U_5977] :
( ! [U_5976] :
( ! [U_5975] :
( k9_rlvect_1(U_5978,k8_rlvect_1(U_5978,U_5977,U_5976,U_5975)) = k2_rlvect_1(U_5978,k9_rlvect_1(U_5978,k7_rlvect_1(U_5978,U_5977,U_5976)),U_5975)
| ~ m1_subset_1(U_5975,u1_struct_0(U_5978)) )
| ~ m1_subset_1(U_5976,u1_struct_0(U_5978)) )
| ~ m1_subset_1(U_5977,u1_struct_0(U_5978)) )
| ~ l1_rlvect_1(U_5978)
| ~ v6_rlvect_1(U_5978)
| ~ v5_rlvect_1(U_5978)
| ~ v4_rlvect_1(U_5978)
| v3_struct_0(U_5978) ),
inference(variable_rename,[status(thm)],[f_2298_1]) ).
fof(f_2298_3,plain,
! [U_5977,U_5978,U_5975,U_5976] :
( k9_rlvect_1(U_5978,k8_rlvect_1(U_5978,U_5977,U_5976,U_5975)) = k2_rlvect_1(U_5978,k9_rlvect_1(U_5978,k7_rlvect_1(U_5978,U_5977,U_5976)),U_5975)
| ~ m1_subset_1(U_5975,u1_struct_0(U_5978))
| ~ m1_subset_1(U_5976,u1_struct_0(U_5978))
| ~ m1_subset_1(U_5977,u1_struct_0(U_5978))
| ~ l1_rlvect_1(U_5978)
| ~ v6_rlvect_1(U_5978)
| ~ v5_rlvect_1(U_5978)
| ~ v4_rlvect_1(U_5978)
| v3_struct_0(U_5978) ),
inference(definitional_conversion,[status(esa)],[f_2298_2]) ).
cnf(f_2298_4,plain,
( k9_rlvect_1(U_5978,k8_rlvect_1(U_5978,U_5977,U_5976,U_5975)) = k2_rlvect_1(U_5978,k9_rlvect_1(U_5978,k7_rlvect_1(U_5978,U_5977,U_5976)),U_5975)
| ~ m1_subset_1(U_5975,u1_struct_0(U_5978))
| ~ m1_subset_1(U_5976,u1_struct_0(U_5978))
| ~ m1_subset_1(U_5977,u1_struct_0(U_5978))
| ~ l1_rlvect_1(U_5978)
| ~ v6_rlvect_1(U_5978)
| ~ v5_rlvect_1(U_5978)
| ~ v4_rlvect_1(U_5978)
| v3_struct_0(U_5978) ),
inference(clausify,[status(thm)],[f_2298_3]) ).
fof(f_2299_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k4_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,D)),C)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t83_rlvect_1]) ).
fof(f_2299_2,plain,
! [U_5982] :
( ! [U_5981] :
( ! [U_5980] :
( ! [U_5979] :
( k9_rlvect_1(U_5982,k8_rlvect_1(U_5982,U_5980,U_5981,U_5979)) = k4_rlvect_1(U_5982,k9_rlvect_1(U_5982,k7_rlvect_1(U_5982,U_5981,U_5979)),U_5980)
| ~ m1_subset_1(U_5979,u1_struct_0(U_5982)) )
| ~ m1_subset_1(U_5980,u1_struct_0(U_5982)) )
| ~ m1_subset_1(U_5981,u1_struct_0(U_5982)) )
| ~ l1_rlvect_1(U_5982)
| ~ v6_rlvect_1(U_5982)
| ~ v5_rlvect_1(U_5982)
| ~ v4_rlvect_1(U_5982)
| ~ v3_rlvect_1(U_5982)
| v3_struct_0(U_5982) ),
inference(variable_rename,[status(thm)],[f_2299_1]) ).
fof(f_2299_3,plain,
! [U_5979,U_5980,U_5981,U_5982] :
( k9_rlvect_1(U_5982,k8_rlvect_1(U_5982,U_5980,U_5981,U_5979)) = k4_rlvect_1(U_5982,k9_rlvect_1(U_5982,k7_rlvect_1(U_5982,U_5981,U_5979)),U_5980)
| ~ m1_subset_1(U_5979,u1_struct_0(U_5982))
| ~ m1_subset_1(U_5980,u1_struct_0(U_5982))
| ~ m1_subset_1(U_5981,u1_struct_0(U_5982))
| ~ l1_rlvect_1(U_5982)
| ~ v6_rlvect_1(U_5982)
| ~ v5_rlvect_1(U_5982)
| ~ v4_rlvect_1(U_5982)
| ~ v3_rlvect_1(U_5982)
| v3_struct_0(U_5982) ),
inference(definitional_conversion,[status(esa)],[f_2299_2]) ).
cnf(f_2299_4,plain,
( k9_rlvect_1(U_5982,k8_rlvect_1(U_5982,U_5980,U_5981,U_5979)) = k4_rlvect_1(U_5982,k9_rlvect_1(U_5982,k7_rlvect_1(U_5982,U_5981,U_5979)),U_5980)
| ~ m1_subset_1(U_5979,u1_struct_0(U_5982))
| ~ m1_subset_1(U_5980,u1_struct_0(U_5982))
| ~ m1_subset_1(U_5981,u1_struct_0(U_5982))
| ~ l1_rlvect_1(U_5982)
| ~ v6_rlvect_1(U_5982)
| ~ v5_rlvect_1(U_5982)
| ~ v4_rlvect_1(U_5982)
| ~ v3_rlvect_1(U_5982)
| v3_struct_0(U_5982) ),
inference(clausify,[status(thm)],[f_2299_3]) ).
fof(f_2300_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k4_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t84_rlvect_1]) ).
fof(f_2300_2,plain,
! [U_5986] :
( ! [U_5985] :
( ! [U_5984] :
( ! [U_5983] :
( k9_rlvect_1(U_5986,k8_rlvect_1(U_5986,U_5984,U_5985,U_5983)) = k4_rlvect_1(U_5986,k9_rlvect_1(U_5986,k7_rlvect_1(U_5986,U_5984,U_5983)),U_5985)
| ~ m1_subset_1(U_5983,u1_struct_0(U_5986)) )
| ~ m1_subset_1(U_5984,u1_struct_0(U_5986)) )
| ~ m1_subset_1(U_5985,u1_struct_0(U_5986)) )
| ~ l1_rlvect_1(U_5986)
| ~ v6_rlvect_1(U_5986)
| ~ v5_rlvect_1(U_5986)
| ~ v4_rlvect_1(U_5986)
| ~ v3_rlvect_1(U_5986)
| v3_struct_0(U_5986) ),
inference(variable_rename,[status(thm)],[f_2300_1]) ).
fof(f_2300_3,plain,
! [U_5985,U_5984,U_5986,U_5983] :
( k9_rlvect_1(U_5986,k8_rlvect_1(U_5986,U_5984,U_5985,U_5983)) = k4_rlvect_1(U_5986,k9_rlvect_1(U_5986,k7_rlvect_1(U_5986,U_5984,U_5983)),U_5985)
| ~ m1_subset_1(U_5983,u1_struct_0(U_5986))
| ~ m1_subset_1(U_5984,u1_struct_0(U_5986))
| ~ m1_subset_1(U_5985,u1_struct_0(U_5986))
| ~ l1_rlvect_1(U_5986)
| ~ v6_rlvect_1(U_5986)
| ~ v5_rlvect_1(U_5986)
| ~ v4_rlvect_1(U_5986)
| ~ v3_rlvect_1(U_5986)
| v3_struct_0(U_5986) ),
inference(definitional_conversion,[status(esa)],[f_2300_2]) ).
cnf(f_2300_4,plain,
( k9_rlvect_1(U_5986,k8_rlvect_1(U_5986,U_5984,U_5985,U_5983)) = k4_rlvect_1(U_5986,k9_rlvect_1(U_5986,k7_rlvect_1(U_5986,U_5984,U_5983)),U_5985)
| ~ m1_subset_1(U_5983,u1_struct_0(U_5986))
| ~ m1_subset_1(U_5984,u1_struct_0(U_5986))
| ~ m1_subset_1(U_5985,u1_struct_0(U_5986))
| ~ l1_rlvect_1(U_5986)
| ~ v6_rlvect_1(U_5986)
| ~ v5_rlvect_1(U_5986)
| ~ v4_rlvect_1(U_5986)
| ~ v3_rlvect_1(U_5986)
| v3_struct_0(U_5986) ),
inference(clausify,[status(thm)],[f_2300_3]) ).
fof(f_2301_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,C,D,B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t85_rlvect_1]) ).
fof(f_2301_2,plain,
! [U_5990] :
( ! [U_5989] :
( ! [U_5988] :
( ! [U_5987] :
( k9_rlvect_1(U_5990,k8_rlvect_1(U_5990,U_5988,U_5989,U_5987)) = k9_rlvect_1(U_5990,k8_rlvect_1(U_5990,U_5988,U_5987,U_5989))
| ~ m1_subset_1(U_5987,u1_struct_0(U_5990)) )
| ~ m1_subset_1(U_5988,u1_struct_0(U_5990)) )
| ~ m1_subset_1(U_5989,u1_struct_0(U_5990)) )
| ~ l1_rlvect_1(U_5990)
| ~ v6_rlvect_1(U_5990)
| ~ v5_rlvect_1(U_5990)
| ~ v4_rlvect_1(U_5990)
| ~ v3_rlvect_1(U_5990)
| v3_struct_0(U_5990) ),
inference(variable_rename,[status(thm)],[f_2301_1]) ).
fof(f_2301_3,plain,
! [U_5990,U_5987,U_5989,U_5988] :
( k9_rlvect_1(U_5990,k8_rlvect_1(U_5990,U_5988,U_5989,U_5987)) = k9_rlvect_1(U_5990,k8_rlvect_1(U_5990,U_5988,U_5987,U_5989))
| ~ m1_subset_1(U_5987,u1_struct_0(U_5990))
| ~ m1_subset_1(U_5988,u1_struct_0(U_5990))
| ~ m1_subset_1(U_5989,u1_struct_0(U_5990))
| ~ l1_rlvect_1(U_5990)
| ~ v6_rlvect_1(U_5990)
| ~ v5_rlvect_1(U_5990)
| ~ v4_rlvect_1(U_5990)
| ~ v3_rlvect_1(U_5990)
| v3_struct_0(U_5990) ),
inference(definitional_conversion,[status(esa)],[f_2301_2]) ).
cnf(f_2301_4,plain,
( k9_rlvect_1(U_5990,k8_rlvect_1(U_5990,U_5988,U_5989,U_5987)) = k9_rlvect_1(U_5990,k8_rlvect_1(U_5990,U_5988,U_5987,U_5989))
| ~ m1_subset_1(U_5987,u1_struct_0(U_5990))
| ~ m1_subset_1(U_5988,u1_struct_0(U_5990))
| ~ m1_subset_1(U_5989,u1_struct_0(U_5990))
| ~ l1_rlvect_1(U_5990)
| ~ v6_rlvect_1(U_5990)
| ~ v5_rlvect_1(U_5990)
| ~ v4_rlvect_1(U_5990)
| ~ v3_rlvect_1(U_5990)
| v3_struct_0(U_5990) ),
inference(clausify,[status(thm)],[f_2301_3]) ).
fof(f_2302_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t86_rlvect_1]) ).
fof(f_2302_2,plain,
! [U_5994] :
( ! [U_5993] :
( ! [U_5992] :
( ! [U_5991] :
( k9_rlvect_1(U_5994,k8_rlvect_1(U_5994,U_5992,U_5993,U_5991)) = k9_rlvect_1(U_5994,k8_rlvect_1(U_5994,U_5993,U_5992,U_5991))
| ~ m1_subset_1(U_5991,u1_struct_0(U_5994)) )
| ~ m1_subset_1(U_5992,u1_struct_0(U_5994)) )
| ~ m1_subset_1(U_5993,u1_struct_0(U_5994)) )
| ~ l1_rlvect_1(U_5994)
| ~ v6_rlvect_1(U_5994)
| ~ v5_rlvect_1(U_5994)
| ~ v4_rlvect_1(U_5994)
| ~ v3_rlvect_1(U_5994)
| v3_struct_0(U_5994) ),
inference(variable_rename,[status(thm)],[f_2302_1]) ).
fof(f_2302_3,plain,
! [U_5992,U_5991,U_5994,U_5993] :
( k9_rlvect_1(U_5994,k8_rlvect_1(U_5994,U_5992,U_5993,U_5991)) = k9_rlvect_1(U_5994,k8_rlvect_1(U_5994,U_5993,U_5992,U_5991))
| ~ m1_subset_1(U_5991,u1_struct_0(U_5994))
| ~ m1_subset_1(U_5992,u1_struct_0(U_5994))
| ~ m1_subset_1(U_5993,u1_struct_0(U_5994))
| ~ l1_rlvect_1(U_5994)
| ~ v6_rlvect_1(U_5994)
| ~ v5_rlvect_1(U_5994)
| ~ v4_rlvect_1(U_5994)
| ~ v3_rlvect_1(U_5994)
| v3_struct_0(U_5994) ),
inference(definitional_conversion,[status(esa)],[f_2302_2]) ).
cnf(f_2302_4,plain,
( k9_rlvect_1(U_5994,k8_rlvect_1(U_5994,U_5992,U_5993,U_5991)) = k9_rlvect_1(U_5994,k8_rlvect_1(U_5994,U_5993,U_5992,U_5991))
| ~ m1_subset_1(U_5991,u1_struct_0(U_5994))
| ~ m1_subset_1(U_5992,u1_struct_0(U_5994))
| ~ m1_subset_1(U_5993,u1_struct_0(U_5994))
| ~ l1_rlvect_1(U_5994)
| ~ v6_rlvect_1(U_5994)
| ~ v5_rlvect_1(U_5994)
| ~ v4_rlvect_1(U_5994)
| ~ v3_rlvect_1(U_5994)
| v3_struct_0(U_5994) ),
inference(clausify,[status(thm)],[f_2302_3]) ).
fof(f_2303_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,B,D,C))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t87_rlvect_1]) ).
fof(f_2303_2,plain,
! [U_5998] :
( ! [U_5997] :
( ! [U_5996] :
( ! [U_5995] :
( k9_rlvect_1(U_5998,k8_rlvect_1(U_5998,U_5996,U_5997,U_5995)) = k9_rlvect_1(U_5998,k8_rlvect_1(U_5998,U_5997,U_5995,U_5996))
| ~ m1_subset_1(U_5995,u1_struct_0(U_5998)) )
| ~ m1_subset_1(U_5996,u1_struct_0(U_5998)) )
| ~ m1_subset_1(U_5997,u1_struct_0(U_5998)) )
| ~ l1_rlvect_1(U_5998)
| ~ v6_rlvect_1(U_5998)
| ~ v5_rlvect_1(U_5998)
| ~ v4_rlvect_1(U_5998)
| ~ v3_rlvect_1(U_5998)
| v3_struct_0(U_5998) ),
inference(variable_rename,[status(thm)],[f_2303_1]) ).
fof(f_2303_3,plain,
! [U_5997,U_5996,U_5995,U_5998] :
( k9_rlvect_1(U_5998,k8_rlvect_1(U_5998,U_5996,U_5997,U_5995)) = k9_rlvect_1(U_5998,k8_rlvect_1(U_5998,U_5997,U_5995,U_5996))
| ~ m1_subset_1(U_5995,u1_struct_0(U_5998))
| ~ m1_subset_1(U_5996,u1_struct_0(U_5998))
| ~ m1_subset_1(U_5997,u1_struct_0(U_5998))
| ~ l1_rlvect_1(U_5998)
| ~ v6_rlvect_1(U_5998)
| ~ v5_rlvect_1(U_5998)
| ~ v4_rlvect_1(U_5998)
| ~ v3_rlvect_1(U_5998)
| v3_struct_0(U_5998) ),
inference(definitional_conversion,[status(esa)],[f_2303_2]) ).
cnf(f_2303_4,plain,
( k9_rlvect_1(U_5998,k8_rlvect_1(U_5998,U_5996,U_5997,U_5995)) = k9_rlvect_1(U_5998,k8_rlvect_1(U_5998,U_5997,U_5995,U_5996))
| ~ m1_subset_1(U_5995,u1_struct_0(U_5998))
| ~ m1_subset_1(U_5996,u1_struct_0(U_5998))
| ~ m1_subset_1(U_5997,u1_struct_0(U_5998))
| ~ l1_rlvect_1(U_5998)
| ~ v6_rlvect_1(U_5998)
| ~ v5_rlvect_1(U_5998)
| ~ v4_rlvect_1(U_5998)
| ~ v3_rlvect_1(U_5998)
| v3_struct_0(U_5998) ),
inference(clausify,[status(thm)],[f_2303_3]) ).
fof(f_2304_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t88_rlvect_1]) ).
fof(f_2304_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2304_1]) ).
cnf(f_2304_3,plain,
$true,
inference(clausify,[status(thm)],[f_2304_2]) ).
fof(f_2305_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,D,B,C))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t89_rlvect_1]) ).
fof(f_2305_2,plain,
! [U_6002] :
( ! [U_6001] :
( ! [U_6000] :
( ! [U_5999] :
( k9_rlvect_1(U_6002,k8_rlvect_1(U_6002,U_6000,U_6001,U_5999)) = k9_rlvect_1(U_6002,k8_rlvect_1(U_6002,U_5999,U_6001,U_6000))
| ~ m1_subset_1(U_5999,u1_struct_0(U_6002)) )
| ~ m1_subset_1(U_6000,u1_struct_0(U_6002)) )
| ~ m1_subset_1(U_6001,u1_struct_0(U_6002)) )
| ~ l1_rlvect_1(U_6002)
| ~ v6_rlvect_1(U_6002)
| ~ v5_rlvect_1(U_6002)
| ~ v4_rlvect_1(U_6002)
| ~ v3_rlvect_1(U_6002)
| v3_struct_0(U_6002) ),
inference(variable_rename,[status(thm)],[f_2305_1]) ).
fof(f_2305_3,plain,
! [U_6000,U_5999,U_6002,U_6001] :
( k9_rlvect_1(U_6002,k8_rlvect_1(U_6002,U_6000,U_6001,U_5999)) = k9_rlvect_1(U_6002,k8_rlvect_1(U_6002,U_5999,U_6001,U_6000))
| ~ m1_subset_1(U_5999,u1_struct_0(U_6002))
| ~ m1_subset_1(U_6000,u1_struct_0(U_6002))
| ~ m1_subset_1(U_6001,u1_struct_0(U_6002))
| ~ l1_rlvect_1(U_6002)
| ~ v6_rlvect_1(U_6002)
| ~ v5_rlvect_1(U_6002)
| ~ v4_rlvect_1(U_6002)
| ~ v3_rlvect_1(U_6002)
| v3_struct_0(U_6002) ),
inference(definitional_conversion,[status(esa)],[f_2305_2]) ).
cnf(f_2305_4,plain,
( k9_rlvect_1(U_6002,k8_rlvect_1(U_6002,U_6000,U_6001,U_5999)) = k9_rlvect_1(U_6002,k8_rlvect_1(U_6002,U_5999,U_6001,U_6000))
| ~ m1_subset_1(U_5999,u1_struct_0(U_6002))
| ~ m1_subset_1(U_6000,u1_struct_0(U_6002))
| ~ m1_subset_1(U_6001,u1_struct_0(U_6002))
| ~ l1_rlvect_1(U_6002)
| ~ v6_rlvect_1(U_6002)
| ~ v5_rlvect_1(U_6002)
| ~ v4_rlvect_1(U_6002)
| ~ v3_rlvect_1(U_6002)
| v3_struct_0(U_6002) ),
inference(clausify,[status(thm)],[f_2305_3]) ).
fof(f_2306_1,plain,
! [A] :
( k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),k1_rlvect_1(A))) = k1_rlvect_1(A)
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t90_rlvect_1]) ).
fof(f_2306_2,plain,
! [U_6003] :
( k9_rlvect_1(U_6003,k8_rlvect_1(U_6003,k1_rlvect_1(U_6003),k1_rlvect_1(U_6003),k1_rlvect_1(U_6003))) = k1_rlvect_1(U_6003)
| ~ l1_rlvect_1(U_6003)
| ~ v6_rlvect_1(U_6003)
| ~ v5_rlvect_1(U_6003)
| ~ v4_rlvect_1(U_6003)
| v3_struct_0(U_6003) ),
inference(variable_rename,[status(thm)],[f_2306_1]) ).
fof(f_2306_3,plain,
! [U_6003] :
( k9_rlvect_1(U_6003,k8_rlvect_1(U_6003,k1_rlvect_1(U_6003),k1_rlvect_1(U_6003),k1_rlvect_1(U_6003))) = k1_rlvect_1(U_6003)
| ~ l1_rlvect_1(U_6003)
| ~ v6_rlvect_1(U_6003)
| ~ v5_rlvect_1(U_6003)
| ~ v4_rlvect_1(U_6003)
| v3_struct_0(U_6003) ),
inference(definitional_conversion,[status(esa)],[f_2306_2]) ).
cnf(f_2306_4,plain,
( k9_rlvect_1(U_6003,k8_rlvect_1(U_6003,k1_rlvect_1(U_6003),k1_rlvect_1(U_6003),k1_rlvect_1(U_6003))) = k1_rlvect_1(U_6003)
| ~ l1_rlvect_1(U_6003)
| ~ v6_rlvect_1(U_6003)
| ~ v5_rlvect_1(U_6003)
| ~ v4_rlvect_1(U_6003)
| v3_struct_0(U_6003) ),
inference(clausify,[status(thm)],[f_2306_3]) ).
fof(f_2307_1,plain,
! [A] :
( ! [B] :
( ( k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),k1_rlvect_1(A))) = B
& k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,k1_rlvect_1(A))) = B
& k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),B)) = B )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t91_rlvect_1]) ).
fof(f_2307_2,plain,
! [U_6005] :
( ! [U_6004] :
( ( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,U_6004,k1_rlvect_1(U_6005),k1_rlvect_1(U_6005))) = U_6004
& k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,k1_rlvect_1(U_6005),U_6004,k1_rlvect_1(U_6005))) = U_6004
& k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,k1_rlvect_1(U_6005),k1_rlvect_1(U_6005),U_6004)) = U_6004 )
| ~ m1_subset_1(U_6004,u1_struct_0(U_6005)) )
| ~ l1_rlvect_1(U_6005)
| ~ v6_rlvect_1(U_6005)
| ~ v5_rlvect_1(U_6005)
| ~ v4_rlvect_1(U_6005)
| v3_struct_0(U_6005) ),
inference(variable_rename,[status(thm)],[f_2307_1]) ).
fof(f_2307_3,plain,
( ! [U_6004,U_6005] :
( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,U_6004,k1_rlvect_1(U_6005),k1_rlvect_1(U_6005))) = U_6004
| ~ sP1075(U_6004,U_6005) )
& ! [U_6004,U_6005] :
( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,k1_rlvect_1(U_6005),U_6004,k1_rlvect_1(U_6005))) = U_6004
| ~ sP1075(U_6004,U_6005) )
& ! [U_6004,U_6005] :
( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,k1_rlvect_1(U_6005),k1_rlvect_1(U_6005),U_6004)) = U_6004
| ~ sP1075(U_6004,U_6005) )
& ! [U_6004,U_6005] :
( sP1075(U_6004,U_6005)
| ~ m1_subset_1(U_6004,u1_struct_0(U_6005))
| ~ l1_rlvect_1(U_6005)
| ~ v6_rlvect_1(U_6005)
| ~ v5_rlvect_1(U_6005)
| ~ v4_rlvect_1(U_6005)
| v3_struct_0(U_6005) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1075])],[f_2307_2]) ).
cnf(f_2307_4,plain,
( sP1075(U_6004,U_6005)
| ~ m1_subset_1(U_6004,u1_struct_0(U_6005))
| ~ l1_rlvect_1(U_6005)
| ~ v6_rlvect_1(U_6005)
| ~ v5_rlvect_1(U_6005)
| ~ v4_rlvect_1(U_6005)
| v3_struct_0(U_6005) ),
inference(clausify,[status(thm)],[f_2307_3]) ).
cnf(f_2307_5,plain,
( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,k1_rlvect_1(U_6005),k1_rlvect_1(U_6005),U_6004)) = U_6004
| ~ sP1075(U_6004,U_6005) ),
inference(clausify,[status(thm)],[f_2307_3]) ).
cnf(f_2307_6,plain,
( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,k1_rlvect_1(U_6005),U_6004,k1_rlvect_1(U_6005))) = U_6004
| ~ sP1075(U_6004,U_6005) ),
inference(clausify,[status(thm)],[f_2307_3]) ).
cnf(f_2307_7,plain,
( k9_rlvect_1(U_6005,k8_rlvect_1(U_6005,U_6004,k1_rlvect_1(U_6005),k1_rlvect_1(U_6005))) = U_6004
| ~ sP1075(U_6004,U_6005) ),
inference(clausify,[status(thm)],[f_2307_3]) ).
fof(f_2308_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),C)) = k2_rlvect_1(A,B,C)
& k9_rlvect_1(A,k8_rlvect_1(A,B,C,k1_rlvect_1(A))) = k2_rlvect_1(A,B,C)
& k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,C)) = k2_rlvect_1(A,B,C) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t92_rlvect_1]) ).
fof(f_2308_2,plain,
! [U_6008] :
( ! [U_6007] :
( ! [U_6006] :
( ( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,U_6007,k1_rlvect_1(U_6008),U_6006)) = k2_rlvect_1(U_6008,U_6007,U_6006)
& k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,U_6007,U_6006,k1_rlvect_1(U_6008))) = k2_rlvect_1(U_6008,U_6007,U_6006)
& k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,k1_rlvect_1(U_6008),U_6007,U_6006)) = k2_rlvect_1(U_6008,U_6007,U_6006) )
| ~ m1_subset_1(U_6006,u1_struct_0(U_6008)) )
| ~ m1_subset_1(U_6007,u1_struct_0(U_6008)) )
| ~ l1_rlvect_1(U_6008)
| ~ v6_rlvect_1(U_6008)
| ~ v5_rlvect_1(U_6008)
| ~ v4_rlvect_1(U_6008)
| v3_struct_0(U_6008) ),
inference(variable_rename,[status(thm)],[f_2308_1]) ).
fof(f_2308_3,plain,
( ! [U_6006,U_6007,U_6008] :
( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,U_6007,k1_rlvect_1(U_6008),U_6006)) = k2_rlvect_1(U_6008,U_6007,U_6006)
| ~ sP1076(U_6006,U_6007,U_6008) )
& ! [U_6006,U_6007,U_6008] :
( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,U_6007,U_6006,k1_rlvect_1(U_6008))) = k2_rlvect_1(U_6008,U_6007,U_6006)
| ~ sP1076(U_6006,U_6007,U_6008) )
& ! [U_6006,U_6007,U_6008] :
( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,k1_rlvect_1(U_6008),U_6007,U_6006)) = k2_rlvect_1(U_6008,U_6007,U_6006)
| ~ sP1076(U_6006,U_6007,U_6008) )
& ! [U_6006,U_6007,U_6008] :
( sP1076(U_6006,U_6007,U_6008)
| ~ m1_subset_1(U_6006,u1_struct_0(U_6008))
| ~ m1_subset_1(U_6007,u1_struct_0(U_6008))
| ~ l1_rlvect_1(U_6008)
| ~ v6_rlvect_1(U_6008)
| ~ v5_rlvect_1(U_6008)
| ~ v4_rlvect_1(U_6008)
| v3_struct_0(U_6008) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1076])],[f_2308_2]) ).
cnf(f_2308_4,plain,
( sP1076(U_6006,U_6007,U_6008)
| ~ m1_subset_1(U_6006,u1_struct_0(U_6008))
| ~ m1_subset_1(U_6007,u1_struct_0(U_6008))
| ~ l1_rlvect_1(U_6008)
| ~ v6_rlvect_1(U_6008)
| ~ v5_rlvect_1(U_6008)
| ~ v4_rlvect_1(U_6008)
| v3_struct_0(U_6008) ),
inference(clausify,[status(thm)],[f_2308_3]) ).
cnf(f_2308_5,plain,
( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,k1_rlvect_1(U_6008),U_6007,U_6006)) = k2_rlvect_1(U_6008,U_6007,U_6006)
| ~ sP1076(U_6006,U_6007,U_6008) ),
inference(clausify,[status(thm)],[f_2308_3]) ).
cnf(f_2308_6,plain,
( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,U_6007,U_6006,k1_rlvect_1(U_6008))) = k2_rlvect_1(U_6008,U_6007,U_6006)
| ~ sP1076(U_6006,U_6007,U_6008) ),
inference(clausify,[status(thm)],[f_2308_3]) ).
cnf(f_2308_7,plain,
( k9_rlvect_1(U_6008,k8_rlvect_1(U_6008,U_6007,k1_rlvect_1(U_6008),U_6006)) = k2_rlvect_1(U_6008,U_6007,U_6006)
| ~ sP1076(U_6006,U_6007,U_6008) ),
inference(clausify,[status(thm)],[f_2308_3]) ).
fof(f_2309_1,plain,
! [A] :
( ! [B] :
( k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)) = k3_rlvect_1(A,B,np__3)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t93_rlvect_1]) ).
fof(f_2309_2,plain,
! [U_6010] :
( ! [U_6009] :
( k9_rlvect_1(U_6010,k8_rlvect_1(U_6010,U_6009,U_6009,U_6009)) = k3_rlvect_1(U_6010,U_6009,np__3)
| ~ m1_subset_1(U_6009,u1_struct_0(U_6010)) )
| ~ l2_rlvect_1(U_6010)
| ~ v7_rlvect_1(U_6010)
| ~ v6_rlvect_1(U_6010)
| ~ v5_rlvect_1(U_6010)
| ~ v4_rlvect_1(U_6010)
| ~ v3_rlvect_1(U_6010)
| v3_struct_0(U_6010) ),
inference(variable_rename,[status(thm)],[f_2309_1]) ).
fof(f_2309_3,plain,
! [U_6010,U_6009] :
( k9_rlvect_1(U_6010,k8_rlvect_1(U_6010,U_6009,U_6009,U_6009)) = k3_rlvect_1(U_6010,U_6009,np__3)
| ~ m1_subset_1(U_6009,u1_struct_0(U_6010))
| ~ l2_rlvect_1(U_6010)
| ~ v7_rlvect_1(U_6010)
| ~ v6_rlvect_1(U_6010)
| ~ v5_rlvect_1(U_6010)
| ~ v4_rlvect_1(U_6010)
| ~ v3_rlvect_1(U_6010)
| v3_struct_0(U_6010) ),
inference(definitional_conversion,[status(esa)],[f_2309_2]) ).
cnf(f_2309_4,plain,
( k9_rlvect_1(U_6010,k8_rlvect_1(U_6010,U_6009,U_6009,U_6009)) = k3_rlvect_1(U_6010,U_6009,np__3)
| ~ m1_subset_1(U_6009,u1_struct_0(U_6010))
| ~ l2_rlvect_1(U_6010)
| ~ v7_rlvect_1(U_6010)
| ~ v6_rlvect_1(U_6010)
| ~ v5_rlvect_1(U_6010)
| ~ v4_rlvect_1(U_6010)
| ~ v3_rlvect_1(U_6010)
| v3_struct_0(U_6010) ),
inference(clausify,[status(thm)],[f_2309_3]) ).
fof(f_2310_1,plain,
! [A] :
( ! [B] :
( k9_rlvect_1(A,B) = k1_rlvect_1(A)
| k3_finseq_1(B) != np__0
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t94_rlvect_1]) ).
fof(f_2310_2,plain,
! [U_6012] :
( ! [U_6011] :
( k9_rlvect_1(U_6012,U_6011) = k1_rlvect_1(U_6012)
| k3_finseq_1(U_6011) != np__0
| ~ m2_finseq_1(U_6011,u1_struct_0(U_6012)) )
| ~ l1_rlvect_1(U_6012)
| ~ v6_rlvect_1(U_6012)
| ~ v5_rlvect_1(U_6012)
| ~ v4_rlvect_1(U_6012)
| v3_struct_0(U_6012) ),
inference(variable_rename,[status(thm)],[f_2310_1]) ).
fof(f_2310_3,plain,
! [U_6012,U_6011] :
( k9_rlvect_1(U_6012,U_6011) = k1_rlvect_1(U_6012)
| k3_finseq_1(U_6011) != np__0
| ~ m2_finseq_1(U_6011,u1_struct_0(U_6012))
| ~ l1_rlvect_1(U_6012)
| ~ v6_rlvect_1(U_6012)
| ~ v5_rlvect_1(U_6012)
| ~ v4_rlvect_1(U_6012)
| v3_struct_0(U_6012) ),
inference(definitional_conversion,[status(esa)],[f_2310_2]) ).
cnf(f_2310_4,plain,
( k9_rlvect_1(U_6012,U_6011) = k1_rlvect_1(U_6012)
| k3_finseq_1(U_6011) != np__0
| ~ m2_finseq_1(U_6011,u1_struct_0(U_6012))
| ~ l1_rlvect_1(U_6012)
| ~ v6_rlvect_1(U_6012)
| ~ v5_rlvect_1(U_6012)
| ~ v4_rlvect_1(U_6012)
| v3_struct_0(U_6012) ),
inference(clausify,[status(thm)],[f_2310_3]) ).
fof(f_2311_1,plain,
! [A] :
( ! [B] :
( k9_rlvect_1(A,B) = k1_funct_1(B,np__1)
| k3_finseq_1(B) != np__1
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t95_rlvect_1]) ).
fof(f_2311_2,plain,
! [U_6014] :
( ! [U_6013] :
( k9_rlvect_1(U_6014,U_6013) = k1_funct_1(U_6013,np__1)
| k3_finseq_1(U_6013) != np__1
| ~ m2_finseq_1(U_6013,u1_struct_0(U_6014)) )
| ~ l1_rlvect_1(U_6014)
| ~ v6_rlvect_1(U_6014)
| ~ v5_rlvect_1(U_6014)
| ~ v4_rlvect_1(U_6014)
| v3_struct_0(U_6014) ),
inference(variable_rename,[status(thm)],[f_2311_1]) ).
fof(f_2311_3,plain,
! [U_6014,U_6013] :
( k9_rlvect_1(U_6014,U_6013) = k1_funct_1(U_6013,np__1)
| k3_finseq_1(U_6013) != np__1
| ~ m2_finseq_1(U_6013,u1_struct_0(U_6014))
| ~ l1_rlvect_1(U_6014)
| ~ v6_rlvect_1(U_6014)
| ~ v5_rlvect_1(U_6014)
| ~ v4_rlvect_1(U_6014)
| v3_struct_0(U_6014) ),
inference(definitional_conversion,[status(esa)],[f_2311_2]) ).
cnf(f_2311_4,plain,
( k9_rlvect_1(U_6014,U_6013) = k1_funct_1(U_6013,np__1)
| k3_finseq_1(U_6013) != np__1
| ~ m2_finseq_1(U_6013,u1_struct_0(U_6014))
| ~ l1_rlvect_1(U_6014)
| ~ v6_rlvect_1(U_6014)
| ~ v5_rlvect_1(U_6014)
| ~ v4_rlvect_1(U_6014)
| v3_struct_0(U_6014) ),
inference(clausify,[status(thm)],[f_2311_3]) ).
fof(f_2312_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,B) = k2_rlvect_1(A,C,D)
| D != k1_funct_1(B,np__2)
| C != k1_funct_1(B,np__1)
| k3_finseq_1(B) != np__2
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t96_rlvect_1]) ).
fof(f_2312_2,plain,
! [U_6018] :
( ! [U_6017] :
( ! [U_6016] :
( ! [U_6015] :
( k9_rlvect_1(U_6018,U_6017) = k2_rlvect_1(U_6018,U_6016,U_6015)
| U_6015 != k1_funct_1(U_6017,np__2)
| U_6016 != k1_funct_1(U_6017,np__1)
| k3_finseq_1(U_6017) != np__2
| ~ m1_subset_1(U_6015,u1_struct_0(U_6018)) )
| ~ m1_subset_1(U_6016,u1_struct_0(U_6018)) )
| ~ m2_finseq_1(U_6017,u1_struct_0(U_6018)) )
| ~ l1_rlvect_1(U_6018)
| ~ v6_rlvect_1(U_6018)
| ~ v5_rlvect_1(U_6018)
| ~ v4_rlvect_1(U_6018)
| v3_struct_0(U_6018) ),
inference(variable_rename,[status(thm)],[f_2312_1]) ).
fof(f_2312_3,plain,
! [U_6017,U_6018,U_6016,U_6015] :
( k9_rlvect_1(U_6018,U_6017) = k2_rlvect_1(U_6018,U_6016,U_6015)
| U_6015 != k1_funct_1(U_6017,np__2)
| U_6016 != k1_funct_1(U_6017,np__1)
| k3_finseq_1(U_6017) != np__2
| ~ m1_subset_1(U_6015,u1_struct_0(U_6018))
| ~ m1_subset_1(U_6016,u1_struct_0(U_6018))
| ~ m2_finseq_1(U_6017,u1_struct_0(U_6018))
| ~ l1_rlvect_1(U_6018)
| ~ v6_rlvect_1(U_6018)
| ~ v5_rlvect_1(U_6018)
| ~ v4_rlvect_1(U_6018)
| v3_struct_0(U_6018) ),
inference(definitional_conversion,[status(esa)],[f_2312_2]) ).
cnf(f_2312_4,plain,
( k9_rlvect_1(U_6018,U_6017) = k2_rlvect_1(U_6018,U_6016,U_6015)
| U_6015 != k1_funct_1(U_6017,np__2)
| U_6016 != k1_funct_1(U_6017,np__1)
| k3_finseq_1(U_6017) != np__2
| ~ m1_subset_1(U_6015,u1_struct_0(U_6018))
| ~ m1_subset_1(U_6016,u1_struct_0(U_6018))
| ~ m2_finseq_1(U_6017,u1_struct_0(U_6018))
| ~ l1_rlvect_1(U_6018)
| ~ v6_rlvect_1(U_6018)
| ~ v5_rlvect_1(U_6018)
| ~ v4_rlvect_1(U_6018)
| v3_struct_0(U_6018) ),
inference(clausify,[status(thm)],[f_2312_3]) ).
fof(f_2313_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k9_rlvect_1(A,B) = k2_rlvect_1(A,k2_rlvect_1(A,C,D),E)
| E != k1_funct_1(B,np__3)
| D != k1_funct_1(B,np__2)
| C != k1_funct_1(B,np__1)
| k3_finseq_1(B) != np__3
| ~ m1_subset_1(E,u1_struct_0(A)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t97_rlvect_1]) ).
fof(f_2313_2,plain,
! [U_6023] :
( ! [U_6022] :
( ! [U_6021] :
( ! [U_6020] :
( ! [U_6019] :
( k9_rlvect_1(U_6023,U_6022) = k2_rlvect_1(U_6023,k2_rlvect_1(U_6023,U_6021,U_6020),U_6019)
| U_6019 != k1_funct_1(U_6022,np__3)
| U_6020 != k1_funct_1(U_6022,np__2)
| U_6021 != k1_funct_1(U_6022,np__1)
| k3_finseq_1(U_6022) != np__3
| ~ m1_subset_1(U_6019,u1_struct_0(U_6023)) )
| ~ m1_subset_1(U_6020,u1_struct_0(U_6023)) )
| ~ m1_subset_1(U_6021,u1_struct_0(U_6023)) )
| ~ m2_finseq_1(U_6022,u1_struct_0(U_6023)) )
| ~ l1_rlvect_1(U_6023)
| ~ v6_rlvect_1(U_6023)
| ~ v5_rlvect_1(U_6023)
| ~ v4_rlvect_1(U_6023)
| v3_struct_0(U_6023) ),
inference(variable_rename,[status(thm)],[f_2313_1]) ).
fof(f_2313_3,plain,
! [U_6020,U_6019,U_6021,U_6023,U_6022] :
( k9_rlvect_1(U_6023,U_6022) = k2_rlvect_1(U_6023,k2_rlvect_1(U_6023,U_6021,U_6020),U_6019)
| U_6019 != k1_funct_1(U_6022,np__3)
| U_6020 != k1_funct_1(U_6022,np__2)
| U_6021 != k1_funct_1(U_6022,np__1)
| k3_finseq_1(U_6022) != np__3
| ~ m1_subset_1(U_6019,u1_struct_0(U_6023))
| ~ m1_subset_1(U_6020,u1_struct_0(U_6023))
| ~ m1_subset_1(U_6021,u1_struct_0(U_6023))
| ~ m2_finseq_1(U_6022,u1_struct_0(U_6023))
| ~ l1_rlvect_1(U_6023)
| ~ v6_rlvect_1(U_6023)
| ~ v5_rlvect_1(U_6023)
| ~ v4_rlvect_1(U_6023)
| v3_struct_0(U_6023) ),
inference(definitional_conversion,[status(esa)],[f_2313_2]) ).
cnf(f_2313_4,plain,
( k9_rlvect_1(U_6023,U_6022) = k2_rlvect_1(U_6023,k2_rlvect_1(U_6023,U_6021,U_6020),U_6019)
| U_6019 != k1_funct_1(U_6022,np__3)
| U_6020 != k1_funct_1(U_6022,np__2)
| U_6021 != k1_funct_1(U_6022,np__1)
| k3_finseq_1(U_6022) != np__3
| ~ m1_subset_1(U_6019,u1_struct_0(U_6023))
| ~ m1_subset_1(U_6020,u1_struct_0(U_6023))
| ~ m1_subset_1(U_6021,u1_struct_0(U_6023))
| ~ m2_finseq_1(U_6022,u1_struct_0(U_6023))
| ~ l1_rlvect_1(U_6023)
| ~ v6_rlvect_1(U_6023)
| ~ v5_rlvect_1(U_6023)
| ~ v4_rlvect_1(U_6023)
| v3_struct_0(U_6023) ),
inference(clausify,[status(thm)],[f_2313_3]) ).
fof(f_2314_1,plain,
! [A] :
( ! [B] :
( ( ( v8_rlvect_1(B,A)
| B = k1_rlvect_1(A) )
& ( B != k1_rlvect_1(A)
| ~ v8_rlvect_1(B,A) ) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d13_rlvect_1]) ).
fof(f_2314_2,plain,
! [U_6025] :
( ! [U_6024] :
( ( ( v8_rlvect_1(U_6024,U_6025)
| U_6024 = k1_rlvect_1(U_6025) )
& ( U_6024 != k1_rlvect_1(U_6025)
| ~ v8_rlvect_1(U_6024,U_6025) ) )
| ~ m1_subset_1(U_6024,u1_struct_0(U_6025)) )
| ~ l2_struct_0(U_6025)
| v3_struct_0(U_6025) ),
inference(variable_rename,[status(thm)],[f_2314_1]) ).
fof(f_2314_3,plain,
( ! [U_6024,U_6025] :
( v8_rlvect_1(U_6024,U_6025)
| U_6024 = k1_rlvect_1(U_6025)
| ~ sP1077(U_6024,U_6025) )
& ! [U_6024,U_6025] :
( U_6024 != k1_rlvect_1(U_6025)
| ~ v8_rlvect_1(U_6024,U_6025)
| ~ sP1077(U_6024,U_6025) )
& ! [U_6024,U_6025] :
( sP1077(U_6024,U_6025)
| ~ m1_subset_1(U_6024,u1_struct_0(U_6025))
| ~ l2_struct_0(U_6025)
| v3_struct_0(U_6025) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1077])],[f_2314_2]) ).
cnf(f_2314_4,plain,
( sP1077(U_6024,U_6025)
| ~ m1_subset_1(U_6024,u1_struct_0(U_6025))
| ~ l2_struct_0(U_6025)
| v3_struct_0(U_6025) ),
inference(clausify,[status(thm)],[f_2314_3]) ).
cnf(f_2314_5,plain,
( U_6024 != k1_rlvect_1(U_6025)
| ~ v8_rlvect_1(U_6024,U_6025)
| ~ sP1077(U_6024,U_6025) ),
inference(clausify,[status(thm)],[f_2314_3]) ).
cnf(f_2314_6,plain,
( v8_rlvect_1(U_6024,U_6025)
| U_6024 = k1_rlvect_1(U_6025)
| ~ sP1077(U_6024,U_6025) ),
inference(clausify,[status(thm)],[f_2314_3]) ).
fof(f_2315_1,plain,
! [A] :
( l2_struct_0(A)
| ~ l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1]) ).
fof(f_2315_2,plain,
! [U_6026] :
( l2_struct_0(U_6026)
| ~ l1_rlvect_1(U_6026) ),
inference(variable_rename,[status(thm)],[f_2315_1]) ).
fof(f_2315_3,plain,
! [U_6026] :
( l2_struct_0(U_6026)
| ~ l1_rlvect_1(U_6026) ),
inference(definitional_conversion,[status(esa)],[f_2315_2]) ).
cnf(f_2315_4,plain,
( l2_struct_0(U_6026)
| ~ l1_rlvect_1(U_6026) ),
inference(clausify,[status(thm)],[f_2315_3]) ).
fof(f_2316_1,plain,
? [A] : l1_rlvect_1(A),
inference(fof_nnf,[status(thm)],[existence_l1_rlvect_1]) ).
fof(f_2316_2,plain,
? [U_6027] : l1_rlvect_1(U_6027),
inference(variable_rename,[status(thm)],[f_2316_1]) ).
fof(f_2316_3,plain,
l1_rlvect_1(sK762),
inference(skolemize,[status(esa),new_symbols(skolem,[sK762]),skolemize(U_6027,sK762)],[f_2316_2]) ).
fof(f_2316_4,plain,
l1_rlvect_1(sK762),
inference(definitional_conversion,[status(esa)],[f_2316_3]) ).
cnf(f_2316_5,plain,
l1_rlvect_1(sK762),
inference(clausify,[status(thm)],[f_2316_4]) ).
fof(f_2317_1,plain,
! [A] :
( l1_rlvect_1(A)
| ~ l2_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_rlvect_1]) ).
fof(f_2317_2,plain,
! [U_6028] :
( l1_rlvect_1(U_6028)
| ~ l2_rlvect_1(U_6028) ),
inference(variable_rename,[status(thm)],[f_2317_1]) ).
fof(f_2317_3,plain,
! [U_6028] :
( l1_rlvect_1(U_6028)
| ~ l2_rlvect_1(U_6028) ),
inference(definitional_conversion,[status(esa)],[f_2317_2]) ).
cnf(f_2317_4,plain,
( l1_rlvect_1(U_6028)
| ~ l2_rlvect_1(U_6028) ),
inference(clausify,[status(thm)],[f_2317_3]) ).
fof(f_2318_1,plain,
? [A] : l2_rlvect_1(A),
inference(fof_nnf,[status(thm)],[existence_l2_rlvect_1]) ).
fof(f_2318_2,plain,
? [U_6029] : l2_rlvect_1(U_6029),
inference(variable_rename,[status(thm)],[f_2318_1]) ).
fof(f_2318_3,plain,
l2_rlvect_1(sK763),
inference(skolemize,[status(esa),new_symbols(skolem,[sK763]),skolemize(U_6029,sK763)],[f_2318_2]) ).
fof(f_2318_4,plain,
l2_rlvect_1(sK763),
inference(definitional_conversion,[status(esa)],[f_2318_3]) ).
cnf(f_2318_5,plain,
l2_rlvect_1(sK763),
inference(clausify,[status(thm)],[f_2318_4]) ).
fof(f_2319_1,plain,
! [A] :
( A = g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A))
| ~ v1_rlvect_1(A)
| ~ l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v1_rlvect_1]) ).
fof(f_2319_2,plain,
! [U_6030] :
( U_6030 = g1_rlvect_1(u1_struct_0(U_6030),u1_rlvect_1(U_6030),u2_struct_0(U_6030))
| ~ v1_rlvect_1(U_6030)
| ~ l1_rlvect_1(U_6030) ),
inference(variable_rename,[status(thm)],[f_2319_1]) ).
fof(f_2319_3,plain,
! [U_6030] :
( U_6030 = g1_rlvect_1(u1_struct_0(U_6030),u1_rlvect_1(U_6030),u2_struct_0(U_6030))
| ~ v1_rlvect_1(U_6030)
| ~ l1_rlvect_1(U_6030) ),
inference(definitional_conversion,[status(esa)],[f_2319_2]) ).
cnf(f_2319_4,plain,
( U_6030 = g1_rlvect_1(u1_struct_0(U_6030),u1_rlvect_1(U_6030),u2_struct_0(U_6030))
| ~ v1_rlvect_1(U_6030)
| ~ l1_rlvect_1(U_6030) ),
inference(clausify,[status(thm)],[f_2319_3]) ).
fof(f_2320_1,plain,
! [A] :
( A = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A))
| ~ v2_rlvect_1(A)
| ~ l2_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v2_rlvect_1]) ).
fof(f_2320_2,plain,
! [U_6031] :
( U_6031 = g2_rlvect_1(u1_struct_0(U_6031),u2_struct_0(U_6031),u1_rlvect_1(U_6031),u2_rlvect_1(U_6031))
| ~ v2_rlvect_1(U_6031)
| ~ l2_rlvect_1(U_6031) ),
inference(variable_rename,[status(thm)],[f_2320_1]) ).
fof(f_2320_3,plain,
! [U_6031] :
( U_6031 = g2_rlvect_1(u1_struct_0(U_6031),u2_struct_0(U_6031),u1_rlvect_1(U_6031),u2_rlvect_1(U_6031))
| ~ v2_rlvect_1(U_6031)
| ~ l2_rlvect_1(U_6031) ),
inference(definitional_conversion,[status(esa)],[f_2320_2]) ).
cnf(f_2320_4,plain,
( U_6031 = g2_rlvect_1(u1_struct_0(U_6031),u2_struct_0(U_6031),u1_rlvect_1(U_6031),u2_rlvect_1(U_6031))
| ~ v2_rlvect_1(U_6031)
| ~ l2_rlvect_1(U_6031) ),
inference(clausify,[status(thm)],[f_2320_3]) ).
fof(f_2321_1,plain,
! [A] :
( m1_subset_1(k1_rlvect_1(A),u1_struct_0(A))
| ~ l2_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rlvect_1]) ).
fof(f_2321_2,plain,
! [U_6032] :
( m1_subset_1(k1_rlvect_1(U_6032),u1_struct_0(U_6032))
| ~ l2_struct_0(U_6032) ),
inference(variable_rename,[status(thm)],[f_2321_1]) ).
fof(f_2321_3,plain,
! [U_6032] :
( m1_subset_1(k1_rlvect_1(U_6032),u1_struct_0(U_6032))
| ~ l2_struct_0(U_6032) ),
inference(definitional_conversion,[status(esa)],[f_2321_2]) ).
cnf(f_2321_4,plain,
( m1_subset_1(k1_rlvect_1(U_6032),u1_struct_0(U_6032))
| ~ l2_struct_0(U_6032) ),
inference(clausify,[status(thm)],[f_2321_3]) ).
fof(f_2322_1,plain,
! [A,B,C] :
( m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_rlvect_1]) ).
fof(f_2322_2,plain,
! [U_6035,U_6034,U_6033] :
( m1_subset_1(k2_rlvect_1(U_6035,U_6034,U_6033),u1_struct_0(U_6035))
| ~ m1_subset_1(U_6033,u1_struct_0(U_6035))
| ~ m1_subset_1(U_6034,u1_struct_0(U_6035))
| ~ l1_rlvect_1(U_6035)
| v3_struct_0(U_6035) ),
inference(variable_rename,[status(thm)],[f_2322_1]) ).
fof(f_2322_3,plain,
! [U_6035,U_6034,U_6033] :
( m1_subset_1(k2_rlvect_1(U_6035,U_6034,U_6033),u1_struct_0(U_6035))
| ~ m1_subset_1(U_6033,u1_struct_0(U_6035))
| ~ m1_subset_1(U_6034,u1_struct_0(U_6035))
| ~ l1_rlvect_1(U_6035)
| v3_struct_0(U_6035) ),
inference(definitional_conversion,[status(esa)],[f_2322_2]) ).
cnf(f_2322_4,plain,
( m1_subset_1(k2_rlvect_1(U_6035,U_6034,U_6033),u1_struct_0(U_6035))
| ~ m1_subset_1(U_6033,u1_struct_0(U_6035))
| ~ m1_subset_1(U_6034,u1_struct_0(U_6035))
| ~ l1_rlvect_1(U_6035)
| v3_struct_0(U_6035) ),
inference(clausify,[status(thm)],[f_2322_3]) ).
fof(f_2323_1,plain,
! [A,B,C] :
( m1_subset_1(k3_rlvect_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,k1_numbers)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_rlvect_1]) ).
fof(f_2323_2,plain,
! [U_6038,U_6037,U_6036] :
( m1_subset_1(k3_rlvect_1(U_6038,U_6037,U_6036),u1_struct_0(U_6038))
| ~ m1_subset_1(U_6036,k1_numbers)
| ~ m1_subset_1(U_6037,u1_struct_0(U_6038))
| ~ l2_rlvect_1(U_6038)
| v3_struct_0(U_6038) ),
inference(variable_rename,[status(thm)],[f_2323_1]) ).
fof(f_2323_3,plain,
! [U_6037,U_6036,U_6038] :
( m1_subset_1(k3_rlvect_1(U_6038,U_6037,U_6036),u1_struct_0(U_6038))
| ~ m1_subset_1(U_6036,k1_numbers)
| ~ m1_subset_1(U_6037,u1_struct_0(U_6038))
| ~ l2_rlvect_1(U_6038)
| v3_struct_0(U_6038) ),
inference(definitional_conversion,[status(esa)],[f_2323_2]) ).
cnf(f_2323_4,plain,
( m1_subset_1(k3_rlvect_1(U_6038,U_6037,U_6036),u1_struct_0(U_6038))
| ~ m1_subset_1(U_6036,k1_numbers)
| ~ m1_subset_1(U_6037,u1_struct_0(U_6038))
| ~ l2_rlvect_1(U_6038)
| v3_struct_0(U_6038) ),
inference(clausify,[status(thm)],[f_2323_3]) ).
fof(f_2324_1,plain,
! [A,B,C] :
( m1_subset_1(k4_rlvect_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_rlvect_1]) ).
fof(f_2324_2,plain,
! [U_6041,U_6040,U_6039] :
( m1_subset_1(k4_rlvect_1(U_6041,U_6040,U_6039),u1_struct_0(U_6041))
| ~ m1_subset_1(U_6039,u1_struct_0(U_6041))
| ~ m1_subset_1(U_6040,u1_struct_0(U_6041))
| ~ l1_rlvect_1(U_6041)
| ~ v3_rlvect_1(U_6041)
| v3_struct_0(U_6041) ),
inference(variable_rename,[status(thm)],[f_2324_1]) ).
fof(f_2324_3,plain,
! [U_6040,U_6041,U_6039] :
( m1_subset_1(k4_rlvect_1(U_6041,U_6040,U_6039),u1_struct_0(U_6041))
| ~ m1_subset_1(U_6039,u1_struct_0(U_6041))
| ~ m1_subset_1(U_6040,u1_struct_0(U_6041))
| ~ l1_rlvect_1(U_6041)
| ~ v3_rlvect_1(U_6041)
| v3_struct_0(U_6041) ),
inference(definitional_conversion,[status(esa)],[f_2324_2]) ).
cnf(f_2324_4,plain,
( m1_subset_1(k4_rlvect_1(U_6041,U_6040,U_6039),u1_struct_0(U_6041))
| ~ m1_subset_1(U_6039,u1_struct_0(U_6041))
| ~ m1_subset_1(U_6040,u1_struct_0(U_6041))
| ~ l1_rlvect_1(U_6041)
| ~ v3_rlvect_1(U_6041)
| v3_struct_0(U_6041) ),
inference(clausify,[status(thm)],[f_2324_3]) ).
fof(f_2325_1,plain,
! [A,B,C] :
( k4_rlvect_1(A,B,C) = k4_rlvect_1(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k4_rlvect_1]) ).
fof(f_2325_2,plain,
! [U_6044,U_6043,U_6042] :
( k4_rlvect_1(U_6044,U_6043,U_6042) = k4_rlvect_1(U_6044,U_6042,U_6043)
| ~ m1_subset_1(U_6042,u1_struct_0(U_6044))
| ~ m1_subset_1(U_6043,u1_struct_0(U_6044))
| ~ l1_rlvect_1(U_6044)
| ~ v3_rlvect_1(U_6044)
| v3_struct_0(U_6044) ),
inference(variable_rename,[status(thm)],[f_2325_1]) ).
fof(f_2325_3,plain,
! [U_6044,U_6042,U_6043] :
( k4_rlvect_1(U_6044,U_6043,U_6042) = k4_rlvect_1(U_6044,U_6042,U_6043)
| ~ m1_subset_1(U_6042,u1_struct_0(U_6044))
| ~ m1_subset_1(U_6043,u1_struct_0(U_6044))
| ~ l1_rlvect_1(U_6044)
| ~ v3_rlvect_1(U_6044)
| v3_struct_0(U_6044) ),
inference(definitional_conversion,[status(esa)],[f_2325_2]) ).
cnf(f_2325_4,plain,
( k4_rlvect_1(U_6044,U_6043,U_6042) = k4_rlvect_1(U_6044,U_6042,U_6043)
| ~ m1_subset_1(U_6042,u1_struct_0(U_6044))
| ~ m1_subset_1(U_6043,u1_struct_0(U_6044))
| ~ l1_rlvect_1(U_6044)
| ~ v3_rlvect_1(U_6044)
| v3_struct_0(U_6044) ),
inference(clausify,[status(thm)],[f_2325_3]) ).
fof(f_2326_1,plain,
! [A,B,C] :
( k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_rlvect_1]) ).
fof(f_2326_2,plain,
! [U_6047,U_6046,U_6045] :
( k4_rlvect_1(U_6047,U_6046,U_6045) = k2_rlvect_1(U_6047,U_6046,U_6045)
| ~ m1_subset_1(U_6045,u1_struct_0(U_6047))
| ~ m1_subset_1(U_6046,u1_struct_0(U_6047))
| ~ l1_rlvect_1(U_6047)
| ~ v3_rlvect_1(U_6047)
| v3_struct_0(U_6047) ),
inference(variable_rename,[status(thm)],[f_2326_1]) ).
fof(f_2326_3,plain,
! [U_6045,U_6046,U_6047] :
( k4_rlvect_1(U_6047,U_6046,U_6045) = k2_rlvect_1(U_6047,U_6046,U_6045)
| ~ m1_subset_1(U_6045,u1_struct_0(U_6047))
| ~ m1_subset_1(U_6046,u1_struct_0(U_6047))
| ~ l1_rlvect_1(U_6047)
| ~ v3_rlvect_1(U_6047)
| v3_struct_0(U_6047) ),
inference(definitional_conversion,[status(esa)],[f_2326_2]) ).
cnf(f_2326_4,plain,
( k4_rlvect_1(U_6047,U_6046,U_6045) = k2_rlvect_1(U_6047,U_6046,U_6045)
| ~ m1_subset_1(U_6045,u1_struct_0(U_6047))
| ~ m1_subset_1(U_6046,u1_struct_0(U_6047))
| ~ l1_rlvect_1(U_6047)
| ~ v3_rlvect_1(U_6047)
| v3_struct_0(U_6047) ),
inference(clausify,[status(thm)],[f_2326_3]) ).
fof(f_2327_1,plain,
! [A,B] :
( m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_rlvect_1]) ).
fof(f_2327_2,plain,
! [U_6049,U_6048] :
( m1_subset_1(k5_rlvect_1(U_6049,U_6048),u1_struct_0(U_6049))
| ~ m1_subset_1(U_6048,u1_struct_0(U_6049))
| ~ l1_rlvect_1(U_6049)
| v3_struct_0(U_6049) ),
inference(variable_rename,[status(thm)],[f_2327_1]) ).
fof(f_2327_3,plain,
! [U_6049,U_6048] :
( m1_subset_1(k5_rlvect_1(U_6049,U_6048),u1_struct_0(U_6049))
| ~ m1_subset_1(U_6048,u1_struct_0(U_6049))
| ~ l1_rlvect_1(U_6049)
| v3_struct_0(U_6049) ),
inference(definitional_conversion,[status(esa)],[f_2327_2]) ).
cnf(f_2327_4,plain,
( m1_subset_1(k5_rlvect_1(U_6049,U_6048),u1_struct_0(U_6049))
| ~ m1_subset_1(U_6048,u1_struct_0(U_6049))
| ~ l1_rlvect_1(U_6049)
| v3_struct_0(U_6049) ),
inference(clausify,[status(thm)],[f_2327_3]) ).
fof(f_2328_1,plain,
! [A,B,C] :
( m1_subset_1(k6_rlvect_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_rlvect_1]) ).
fof(f_2328_2,plain,
! [U_6052,U_6051,U_6050] :
( m1_subset_1(k6_rlvect_1(U_6052,U_6051,U_6050),u1_struct_0(U_6052))
| ~ m1_subset_1(U_6050,u1_struct_0(U_6052))
| ~ m1_subset_1(U_6051,u1_struct_0(U_6052))
| ~ l1_rlvect_1(U_6052)
| v3_struct_0(U_6052) ),
inference(variable_rename,[status(thm)],[f_2328_1]) ).
fof(f_2328_3,plain,
! [U_6052,U_6051,U_6050] :
( m1_subset_1(k6_rlvect_1(U_6052,U_6051,U_6050),u1_struct_0(U_6052))
| ~ m1_subset_1(U_6050,u1_struct_0(U_6052))
| ~ m1_subset_1(U_6051,u1_struct_0(U_6052))
| ~ l1_rlvect_1(U_6052)
| v3_struct_0(U_6052) ),
inference(definitional_conversion,[status(esa)],[f_2328_2]) ).
cnf(f_2328_4,plain,
( m1_subset_1(k6_rlvect_1(U_6052,U_6051,U_6050),u1_struct_0(U_6052))
| ~ m1_subset_1(U_6050,u1_struct_0(U_6052))
| ~ m1_subset_1(U_6051,u1_struct_0(U_6052))
| ~ l1_rlvect_1(U_6052)
| v3_struct_0(U_6052) ),
inference(clausify,[status(thm)],[f_2328_3]) ).
fof(f_2329_1,plain,
! [A,B,C] :
( m2_finseq_1(k7_rlvect_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_rlvect_1]) ).
fof(f_2329_2,plain,
! [U_6055,U_6054,U_6053] :
( m2_finseq_1(k7_rlvect_1(U_6055,U_6054,U_6053),u1_struct_0(U_6055))
| ~ m1_subset_1(U_6053,u1_struct_0(U_6055))
| ~ m1_subset_1(U_6054,u1_struct_0(U_6055))
| ~ l1_struct_0(U_6055)
| v3_struct_0(U_6055) ),
inference(variable_rename,[status(thm)],[f_2329_1]) ).
fof(f_2329_3,plain,
! [U_6054,U_6053,U_6055] :
( m2_finseq_1(k7_rlvect_1(U_6055,U_6054,U_6053),u1_struct_0(U_6055))
| ~ m1_subset_1(U_6053,u1_struct_0(U_6055))
| ~ m1_subset_1(U_6054,u1_struct_0(U_6055))
| ~ l1_struct_0(U_6055)
| v3_struct_0(U_6055) ),
inference(definitional_conversion,[status(esa)],[f_2329_2]) ).
cnf(f_2329_4,plain,
( m2_finseq_1(k7_rlvect_1(U_6055,U_6054,U_6053),u1_struct_0(U_6055))
| ~ m1_subset_1(U_6053,u1_struct_0(U_6055))
| ~ m1_subset_1(U_6054,u1_struct_0(U_6055))
| ~ l1_struct_0(U_6055)
| v3_struct_0(U_6055) ),
inference(clausify,[status(thm)],[f_2329_3]) ).
fof(f_2330_1,plain,
! [A,B,C] :
( k7_rlvect_1(A,B,C) = k10_finseq_1(B,C)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k7_rlvect_1]) ).
fof(f_2330_2,plain,
! [U_6058,U_6057,U_6056] :
( k7_rlvect_1(U_6058,U_6057,U_6056) = k10_finseq_1(U_6057,U_6056)
| ~ m1_subset_1(U_6056,u1_struct_0(U_6058))
| ~ m1_subset_1(U_6057,u1_struct_0(U_6058))
| ~ l1_struct_0(U_6058)
| v3_struct_0(U_6058) ),
inference(variable_rename,[status(thm)],[f_2330_1]) ).
fof(f_2330_3,plain,
! [U_6058,U_6057,U_6056] :
( k7_rlvect_1(U_6058,U_6057,U_6056) = k10_finseq_1(U_6057,U_6056)
| ~ m1_subset_1(U_6056,u1_struct_0(U_6058))
| ~ m1_subset_1(U_6057,u1_struct_0(U_6058))
| ~ l1_struct_0(U_6058)
| v3_struct_0(U_6058) ),
inference(definitional_conversion,[status(esa)],[f_2330_2]) ).
cnf(f_2330_4,plain,
( k7_rlvect_1(U_6058,U_6057,U_6056) = k10_finseq_1(U_6057,U_6056)
| ~ m1_subset_1(U_6056,u1_struct_0(U_6058))
| ~ m1_subset_1(U_6057,u1_struct_0(U_6058))
| ~ l1_struct_0(U_6058)
| v3_struct_0(U_6058) ),
inference(clausify,[status(thm)],[f_2330_3]) ).
fof(f_2331_1,plain,
! [A,B,C,D] :
( m2_finseq_1(k8_rlvect_1(A,B,C,D),u1_struct_0(A))
| ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k8_rlvect_1]) ).
fof(f_2331_2,plain,
! [U_6062,U_6061,U_6060,U_6059] :
( m2_finseq_1(k8_rlvect_1(U_6062,U_6061,U_6060,U_6059),u1_struct_0(U_6062))
| ~ m1_subset_1(U_6059,u1_struct_0(U_6062))
| ~ m1_subset_1(U_6060,u1_struct_0(U_6062))
| ~ m1_subset_1(U_6061,u1_struct_0(U_6062))
| ~ l1_struct_0(U_6062)
| v3_struct_0(U_6062) ),
inference(variable_rename,[status(thm)],[f_2331_1]) ).
fof(f_2331_3,plain,
! [U_6060,U_6059,U_6061,U_6062] :
( m2_finseq_1(k8_rlvect_1(U_6062,U_6061,U_6060,U_6059),u1_struct_0(U_6062))
| ~ m1_subset_1(U_6059,u1_struct_0(U_6062))
| ~ m1_subset_1(U_6060,u1_struct_0(U_6062))
| ~ m1_subset_1(U_6061,u1_struct_0(U_6062))
| ~ l1_struct_0(U_6062)
| v3_struct_0(U_6062) ),
inference(definitional_conversion,[status(esa)],[f_2331_2]) ).
cnf(f_2331_4,plain,
( m2_finseq_1(k8_rlvect_1(U_6062,U_6061,U_6060,U_6059),u1_struct_0(U_6062))
| ~ m1_subset_1(U_6059,u1_struct_0(U_6062))
| ~ m1_subset_1(U_6060,u1_struct_0(U_6062))
| ~ m1_subset_1(U_6061,u1_struct_0(U_6062))
| ~ l1_struct_0(U_6062)
| v3_struct_0(U_6062) ),
inference(clausify,[status(thm)],[f_2331_3]) ).
fof(f_2332_1,plain,
! [A,B,C,D] :
( k8_rlvect_1(A,B,C,D) = k11_finseq_1(B,C,D)
| ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k8_rlvect_1]) ).
fof(f_2332_2,plain,
! [U_6066,U_6065,U_6064,U_6063] :
( k8_rlvect_1(U_6066,U_6065,U_6064,U_6063) = k11_finseq_1(U_6065,U_6064,U_6063)
| ~ m1_subset_1(U_6063,u1_struct_0(U_6066))
| ~ m1_subset_1(U_6064,u1_struct_0(U_6066))
| ~ m1_subset_1(U_6065,u1_struct_0(U_6066))
| ~ l1_struct_0(U_6066)
| v3_struct_0(U_6066) ),
inference(variable_rename,[status(thm)],[f_2332_1]) ).
fof(f_2332_3,plain,
! [U_6064,U_6065,U_6063,U_6066] :
( k8_rlvect_1(U_6066,U_6065,U_6064,U_6063) = k11_finseq_1(U_6065,U_6064,U_6063)
| ~ m1_subset_1(U_6063,u1_struct_0(U_6066))
| ~ m1_subset_1(U_6064,u1_struct_0(U_6066))
| ~ m1_subset_1(U_6065,u1_struct_0(U_6066))
| ~ l1_struct_0(U_6066)
| v3_struct_0(U_6066) ),
inference(definitional_conversion,[status(esa)],[f_2332_2]) ).
cnf(f_2332_4,plain,
( k8_rlvect_1(U_6066,U_6065,U_6064,U_6063) = k11_finseq_1(U_6065,U_6064,U_6063)
| ~ m1_subset_1(U_6063,u1_struct_0(U_6066))
| ~ m1_subset_1(U_6064,u1_struct_0(U_6066))
| ~ m1_subset_1(U_6065,u1_struct_0(U_6066))
| ~ l1_struct_0(U_6066)
| v3_struct_0(U_6066) ),
inference(clausify,[status(thm)],[f_2332_3]) ).
fof(f_2333_1,plain,
! [A,B] :
( m1_subset_1(k9_rlvect_1(A,B),u1_struct_0(A))
| ~ m1_finseq_1(B,u1_struct_0(A))
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k9_rlvect_1]) ).
fof(f_2333_2,plain,
! [U_6068,U_6067] :
( m1_subset_1(k9_rlvect_1(U_6068,U_6067),u1_struct_0(U_6068))
| ~ m1_finseq_1(U_6067,u1_struct_0(U_6068))
| ~ l1_rlvect_1(U_6068)
| v3_struct_0(U_6068) ),
inference(variable_rename,[status(thm)],[f_2333_1]) ).
fof(f_2333_3,plain,
! [U_6068,U_6067] :
( m1_subset_1(k9_rlvect_1(U_6068,U_6067),u1_struct_0(U_6068))
| ~ m1_finseq_1(U_6067,u1_struct_0(U_6068))
| ~ l1_rlvect_1(U_6068)
| v3_struct_0(U_6068) ),
inference(definitional_conversion,[status(esa)],[f_2333_2]) ).
cnf(f_2333_4,plain,
( m1_subset_1(k9_rlvect_1(U_6068,U_6067),u1_struct_0(U_6068))
| ~ m1_finseq_1(U_6067,u1_struct_0(U_6068))
| ~ l1_rlvect_1(U_6068)
| v3_struct_0(U_6068) ),
inference(clausify,[status(thm)],[f_2333_3]) ).
fof(f_2334_1,plain,
! [A] :
( ( m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_rlvect_1(A)) )
| ~ l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_rlvect_1]) ).
fof(f_2334_2,plain,
! [U_6069] :
( ( m2_relset_1(u1_rlvect_1(U_6069),k2_zfmisc_1(u1_struct_0(U_6069),u1_struct_0(U_6069)),u1_struct_0(U_6069))
& v1_funct_2(u1_rlvect_1(U_6069),k2_zfmisc_1(u1_struct_0(U_6069),u1_struct_0(U_6069)),u1_struct_0(U_6069))
& v1_funct_1(u1_rlvect_1(U_6069)) )
| ~ l1_rlvect_1(U_6069) ),
inference(variable_rename,[status(thm)],[f_2334_1]) ).
fof(f_2334_3,plain,
( ! [U_6069] :
( m2_relset_1(u1_rlvect_1(U_6069),k2_zfmisc_1(u1_struct_0(U_6069),u1_struct_0(U_6069)),u1_struct_0(U_6069))
| ~ sP1078(U_6069) )
& ! [U_6069] :
( v1_funct_2(u1_rlvect_1(U_6069),k2_zfmisc_1(u1_struct_0(U_6069),u1_struct_0(U_6069)),u1_struct_0(U_6069))
| ~ sP1078(U_6069) )
& ! [U_6069] :
( v1_funct_1(u1_rlvect_1(U_6069))
| ~ sP1078(U_6069) )
& ! [U_6069] :
( sP1078(U_6069)
| ~ l1_rlvect_1(U_6069) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1078])],[f_2334_2]) ).
cnf(f_2334_4,plain,
( sP1078(U_6069)
| ~ l1_rlvect_1(U_6069) ),
inference(clausify,[status(thm)],[f_2334_3]) ).
cnf(f_2334_5,plain,
( v1_funct_1(u1_rlvect_1(U_6069))
| ~ sP1078(U_6069) ),
inference(clausify,[status(thm)],[f_2334_3]) ).
cnf(f_2334_6,plain,
( v1_funct_2(u1_rlvect_1(U_6069),k2_zfmisc_1(u1_struct_0(U_6069),u1_struct_0(U_6069)),u1_struct_0(U_6069))
| ~ sP1078(U_6069) ),
inference(clausify,[status(thm)],[f_2334_3]) ).
cnf(f_2334_7,plain,
( m2_relset_1(u1_rlvect_1(U_6069),k2_zfmisc_1(u1_struct_0(U_6069),u1_struct_0(U_6069)),u1_struct_0(U_6069))
| ~ sP1078(U_6069) ),
inference(clausify,[status(thm)],[f_2334_3]) ).
fof(f_2335_1,plain,
! [A] :
( ( m2_relset_1(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_rlvect_1(A)) )
| ~ l2_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_rlvect_1]) ).
fof(f_2335_2,plain,
! [U_6070] :
( ( m2_relset_1(u2_rlvect_1(U_6070),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6070)),u1_struct_0(U_6070))
& v1_funct_2(u2_rlvect_1(U_6070),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6070)),u1_struct_0(U_6070))
& v1_funct_1(u2_rlvect_1(U_6070)) )
| ~ l2_rlvect_1(U_6070) ),
inference(variable_rename,[status(thm)],[f_2335_1]) ).
fof(f_2335_3,plain,
( ! [U_6070] :
( m2_relset_1(u2_rlvect_1(U_6070),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6070)),u1_struct_0(U_6070))
| ~ sP1079(U_6070) )
& ! [U_6070] :
( v1_funct_2(u2_rlvect_1(U_6070),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6070)),u1_struct_0(U_6070))
| ~ sP1079(U_6070) )
& ! [U_6070] :
( v1_funct_1(u2_rlvect_1(U_6070))
| ~ sP1079(U_6070) )
& ! [U_6070] :
( sP1079(U_6070)
| ~ l2_rlvect_1(U_6070) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1079])],[f_2335_2]) ).
cnf(f_2335_4,plain,
( sP1079(U_6070)
| ~ l2_rlvect_1(U_6070) ),
inference(clausify,[status(thm)],[f_2335_3]) ).
cnf(f_2335_5,plain,
( v1_funct_1(u2_rlvect_1(U_6070))
| ~ sP1079(U_6070) ),
inference(clausify,[status(thm)],[f_2335_3]) ).
cnf(f_2335_6,plain,
( v1_funct_2(u2_rlvect_1(U_6070),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6070)),u1_struct_0(U_6070))
| ~ sP1079(U_6070) ),
inference(clausify,[status(thm)],[f_2335_3]) ).
cnf(f_2335_7,plain,
( m2_relset_1(u2_rlvect_1(U_6070),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6070)),u1_struct_0(U_6070))
| ~ sP1079(U_6070) ),
inference(clausify,[status(thm)],[f_2335_3]) ).
fof(f_2336_1,plain,
! [A,B,C] :
( ( l1_rlvect_1(g1_rlvect_1(A,B,C))
& v1_rlvect_1(g1_rlvect_1(A,B,C)) )
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g1_rlvect_1]) ).
fof(f_2336_2,plain,
! [U_6073,U_6072,U_6071] :
( ( l1_rlvect_1(g1_rlvect_1(U_6073,U_6072,U_6071))
& v1_rlvect_1(g1_rlvect_1(U_6073,U_6072,U_6071)) )
| ~ m1_subset_1(U_6071,U_6073)
| ~ m1_relset_1(U_6072,k2_zfmisc_1(U_6073,U_6073),U_6073)
| ~ v1_funct_2(U_6072,k2_zfmisc_1(U_6073,U_6073),U_6073)
| ~ v1_funct_1(U_6072) ),
inference(variable_rename,[status(thm)],[f_2336_1]) ).
fof(f_2336_3,plain,
( ! [U_6073,U_6071,U_6072] :
( l1_rlvect_1(g1_rlvect_1(U_6073,U_6072,U_6071))
| ~ sP1080(U_6073,U_6071,U_6072) )
& ! [U_6073,U_6071,U_6072] :
( v1_rlvect_1(g1_rlvect_1(U_6073,U_6072,U_6071))
| ~ sP1080(U_6073,U_6071,U_6072) )
& ! [U_6073,U_6071,U_6072] :
( sP1080(U_6073,U_6071,U_6072)
| ~ m1_subset_1(U_6071,U_6073)
| ~ m1_relset_1(U_6072,k2_zfmisc_1(U_6073,U_6073),U_6073)
| ~ v1_funct_2(U_6072,k2_zfmisc_1(U_6073,U_6073),U_6073)
| ~ v1_funct_1(U_6072) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1080])],[f_2336_2]) ).
cnf(f_2336_4,plain,
( sP1080(U_6073,U_6071,U_6072)
| ~ m1_subset_1(U_6071,U_6073)
| ~ m1_relset_1(U_6072,k2_zfmisc_1(U_6073,U_6073),U_6073)
| ~ v1_funct_2(U_6072,k2_zfmisc_1(U_6073,U_6073),U_6073)
| ~ v1_funct_1(U_6072) ),
inference(clausify,[status(thm)],[f_2336_3]) ).
cnf(f_2336_5,plain,
( v1_rlvect_1(g1_rlvect_1(U_6073,U_6072,U_6071))
| ~ sP1080(U_6073,U_6071,U_6072) ),
inference(clausify,[status(thm)],[f_2336_3]) ).
cnf(f_2336_6,plain,
( l1_rlvect_1(g1_rlvect_1(U_6073,U_6072,U_6071))
| ~ sP1080(U_6073,U_6071,U_6072) ),
inference(clausify,[status(thm)],[f_2336_3]) ).
fof(f_2337_1,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g1_rlvect_1(A,B,C) != g1_rlvect_1(D,E,F) )
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g1_rlvect_1]) ).
fof(f_2337_2,plain,
! [U_6079,U_6078,U_6077] :
( ! [U_6076,U_6075,U_6074] :
( ( U_6077 = U_6074
& U_6078 = U_6075
& U_6079 = U_6076 )
| g1_rlvect_1(U_6079,U_6078,U_6077) != g1_rlvect_1(U_6076,U_6075,U_6074) )
| ~ m1_subset_1(U_6077,U_6079)
| ~ m1_relset_1(U_6078,k2_zfmisc_1(U_6079,U_6079),U_6079)
| ~ v1_funct_2(U_6078,k2_zfmisc_1(U_6079,U_6079),U_6079)
| ~ v1_funct_1(U_6078) ),
inference(variable_rename,[status(thm)],[f_2337_1]) ).
fof(f_2337_3,plain,
( ! [U_6077,U_6076,U_6074,U_6075,U_6078,U_6079] :
( U_6077 = U_6074
| ~ sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079) )
& ! [U_6077,U_6076,U_6074,U_6075,U_6078,U_6079] :
( U_6078 = U_6075
| ~ sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079) )
& ! [U_6077,U_6076,U_6074,U_6075,U_6078,U_6079] :
( U_6079 = U_6076
| ~ sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079) )
& ! [U_6077,U_6076,U_6074,U_6075,U_6078,U_6079] :
( sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079)
| g1_rlvect_1(U_6079,U_6078,U_6077) != g1_rlvect_1(U_6076,U_6075,U_6074)
| ~ m1_subset_1(U_6077,U_6079)
| ~ m1_relset_1(U_6078,k2_zfmisc_1(U_6079,U_6079),U_6079)
| ~ v1_funct_2(U_6078,k2_zfmisc_1(U_6079,U_6079),U_6079)
| ~ v1_funct_1(U_6078) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1081])],[f_2337_2]) ).
cnf(f_2337_4,plain,
( sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079)
| g1_rlvect_1(U_6079,U_6078,U_6077) != g1_rlvect_1(U_6076,U_6075,U_6074)
| ~ m1_subset_1(U_6077,U_6079)
| ~ m1_relset_1(U_6078,k2_zfmisc_1(U_6079,U_6079),U_6079)
| ~ v1_funct_2(U_6078,k2_zfmisc_1(U_6079,U_6079),U_6079)
| ~ v1_funct_1(U_6078) ),
inference(clausify,[status(thm)],[f_2337_3]) ).
cnf(f_2337_5,plain,
( U_6079 = U_6076
| ~ sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079) ),
inference(clausify,[status(thm)],[f_2337_3]) ).
cnf(f_2337_6,plain,
( U_6078 = U_6075
| ~ sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079) ),
inference(clausify,[status(thm)],[f_2337_3]) ).
cnf(f_2337_7,plain,
( U_6077 = U_6074
| ~ sP1081(U_6077,U_6076,U_6074,U_6075,U_6078,U_6079) ),
inference(clausify,[status(thm)],[f_2337_3]) ).
fof(f_2338_1,plain,
! [A,B,C,D] :
( ( l2_rlvect_1(g2_rlvect_1(A,B,C,D))
& v2_rlvect_1(g2_rlvect_1(A,B,C,D)) )
| ~ m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
| ~ v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A)
| ~ v1_funct_1(D)
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[dt_g2_rlvect_1]) ).
fof(f_2338_2,plain,
! [U_6083,U_6082,U_6081,U_6080] :
( ( l2_rlvect_1(g2_rlvect_1(U_6083,U_6082,U_6081,U_6080))
& v2_rlvect_1(g2_rlvect_1(U_6083,U_6082,U_6081,U_6080)) )
| ~ m1_relset_1(U_6080,k2_zfmisc_1(k1_numbers,U_6083),U_6083)
| ~ v1_funct_2(U_6080,k2_zfmisc_1(k1_numbers,U_6083),U_6083)
| ~ v1_funct_1(U_6080)
| ~ m1_relset_1(U_6081,k2_zfmisc_1(U_6083,U_6083),U_6083)
| ~ v1_funct_2(U_6081,k2_zfmisc_1(U_6083,U_6083),U_6083)
| ~ v1_funct_1(U_6081)
| ~ m1_subset_1(U_6082,U_6083) ),
inference(variable_rename,[status(thm)],[f_2338_1]) ).
fof(f_2338_3,plain,
( ! [U_6081,U_6080,U_6082,U_6083] :
( l2_rlvect_1(g2_rlvect_1(U_6083,U_6082,U_6081,U_6080))
| ~ sP1082(U_6081,U_6080,U_6082,U_6083) )
& ! [U_6081,U_6080,U_6082,U_6083] :
( v2_rlvect_1(g2_rlvect_1(U_6083,U_6082,U_6081,U_6080))
| ~ sP1082(U_6081,U_6080,U_6082,U_6083) )
& ! [U_6081,U_6080,U_6082,U_6083] :
( sP1082(U_6081,U_6080,U_6082,U_6083)
| ~ m1_relset_1(U_6080,k2_zfmisc_1(k1_numbers,U_6083),U_6083)
| ~ v1_funct_2(U_6080,k2_zfmisc_1(k1_numbers,U_6083),U_6083)
| ~ v1_funct_1(U_6080)
| ~ m1_relset_1(U_6081,k2_zfmisc_1(U_6083,U_6083),U_6083)
| ~ v1_funct_2(U_6081,k2_zfmisc_1(U_6083,U_6083),U_6083)
| ~ v1_funct_1(U_6081)
| ~ m1_subset_1(U_6082,U_6083) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1082])],[f_2338_2]) ).
cnf(f_2338_4,plain,
( sP1082(U_6081,U_6080,U_6082,U_6083)
| ~ m1_relset_1(U_6080,k2_zfmisc_1(k1_numbers,U_6083),U_6083)
| ~ v1_funct_2(U_6080,k2_zfmisc_1(k1_numbers,U_6083),U_6083)
| ~ v1_funct_1(U_6080)
| ~ m1_relset_1(U_6081,k2_zfmisc_1(U_6083,U_6083),U_6083)
| ~ v1_funct_2(U_6081,k2_zfmisc_1(U_6083,U_6083),U_6083)
| ~ v1_funct_1(U_6081)
| ~ m1_subset_1(U_6082,U_6083) ),
inference(clausify,[status(thm)],[f_2338_3]) ).
cnf(f_2338_5,plain,
( v2_rlvect_1(g2_rlvect_1(U_6083,U_6082,U_6081,U_6080))
| ~ sP1082(U_6081,U_6080,U_6082,U_6083) ),
inference(clausify,[status(thm)],[f_2338_3]) ).
cnf(f_2338_6,plain,
( l2_rlvect_1(g2_rlvect_1(U_6083,U_6082,U_6081,U_6080))
| ~ sP1082(U_6081,U_6080,U_6082,U_6083) ),
inference(clausify,[status(thm)],[f_2338_3]) ).
fof(f_2339_1,plain,
! [A,B,C,D] :
( ! [E,F,G,H] :
( ( D = H
& C = G
& B = F
& A = E )
| g2_rlvect_1(A,B,C,D) != g2_rlvect_1(E,F,G,H) )
| ~ m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
| ~ v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A)
| ~ v1_funct_1(D)
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_subset_1(B,A) ),
inference(fof_nnf,[status(thm)],[free_g2_rlvect_1]) ).
fof(f_2339_2,plain,
! [U_6091,U_6090,U_6089,U_6088] :
( ! [U_6087,U_6086,U_6085,U_6084] :
( ( U_6088 = U_6084
& U_6089 = U_6085
& U_6090 = U_6086
& U_6091 = U_6087 )
| g2_rlvect_1(U_6091,U_6090,U_6089,U_6088) != g2_rlvect_1(U_6087,U_6086,U_6085,U_6084) )
| ~ m1_relset_1(U_6088,k2_zfmisc_1(k1_numbers,U_6091),U_6091)
| ~ v1_funct_2(U_6088,k2_zfmisc_1(k1_numbers,U_6091),U_6091)
| ~ v1_funct_1(U_6088)
| ~ m1_relset_1(U_6089,k2_zfmisc_1(U_6091,U_6091),U_6091)
| ~ v1_funct_2(U_6089,k2_zfmisc_1(U_6091,U_6091),U_6091)
| ~ v1_funct_1(U_6089)
| ~ m1_subset_1(U_6090,U_6091) ),
inference(variable_rename,[status(thm)],[f_2339_1]) ).
fof(f_2339_3,plain,
( ! [U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085] :
( U_6088 = U_6084
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) )
& ! [U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085] :
( U_6089 = U_6085
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) )
& ! [U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085] :
( U_6090 = U_6086
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) )
& ! [U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085] :
( U_6091 = U_6087
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) )
& ! [U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085] :
( sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085)
| g2_rlvect_1(U_6091,U_6090,U_6089,U_6088) != g2_rlvect_1(U_6087,U_6086,U_6085,U_6084)
| ~ m1_relset_1(U_6088,k2_zfmisc_1(k1_numbers,U_6091),U_6091)
| ~ v1_funct_2(U_6088,k2_zfmisc_1(k1_numbers,U_6091),U_6091)
| ~ v1_funct_1(U_6088)
| ~ m1_relset_1(U_6089,k2_zfmisc_1(U_6091,U_6091),U_6091)
| ~ v1_funct_2(U_6089,k2_zfmisc_1(U_6091,U_6091),U_6091)
| ~ v1_funct_1(U_6089)
| ~ m1_subset_1(U_6090,U_6091) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1083])],[f_2339_2]) ).
cnf(f_2339_4,plain,
( sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085)
| g2_rlvect_1(U_6091,U_6090,U_6089,U_6088) != g2_rlvect_1(U_6087,U_6086,U_6085,U_6084)
| ~ m1_relset_1(U_6088,k2_zfmisc_1(k1_numbers,U_6091),U_6091)
| ~ v1_funct_2(U_6088,k2_zfmisc_1(k1_numbers,U_6091),U_6091)
| ~ v1_funct_1(U_6088)
| ~ m1_relset_1(U_6089,k2_zfmisc_1(U_6091,U_6091),U_6091)
| ~ v1_funct_2(U_6089,k2_zfmisc_1(U_6091,U_6091),U_6091)
| ~ v1_funct_1(U_6089)
| ~ m1_subset_1(U_6090,U_6091) ),
inference(clausify,[status(thm)],[f_2339_3]) ).
cnf(f_2339_5,plain,
( U_6091 = U_6087
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) ),
inference(clausify,[status(thm)],[f_2339_3]) ).
cnf(f_2339_6,plain,
( U_6090 = U_6086
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) ),
inference(clausify,[status(thm)],[f_2339_3]) ).
cnf(f_2339_7,plain,
( U_6089 = U_6085
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) ),
inference(clausify,[status(thm)],[f_2339_3]) ).
cnf(f_2339_8,plain,
( U_6088 = U_6084
| ~ sP1083(U_6084,U_6086,U_6088,U_6089,U_6090,U_6091,U_6087,U_6085) ),
inference(clausify,[status(thm)],[f_2339_3]) ).
fof(f_2340_1,plain,
! [A] :
( ? [B] :
( v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& v2_rlvect_1(B)
& ~ v3_struct_0(B)
& m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_rlsub_1]) ).
fof(f_2340_2,plain,
! [U_6093] :
( ? [U_6092] :
( v7_rlvect_1(U_6092)
& v6_rlvect_1(U_6092)
& v5_rlvect_1(U_6092)
& v4_rlvect_1(U_6092)
& v3_rlvect_1(U_6092)
& v2_rlvect_1(U_6092)
& ~ v3_struct_0(U_6092)
& m1_rlsub_1(U_6092,U_6093) )
| ~ l2_rlvect_1(U_6093)
| ~ v7_rlvect_1(U_6093)
| ~ v6_rlvect_1(U_6093)
| ~ v5_rlvect_1(U_6093)
| ~ v4_rlvect_1(U_6093)
| ~ v3_rlvect_1(U_6093)
| v3_struct_0(U_6093) ),
inference(variable_rename,[status(thm)],[f_2340_1]) ).
fof(f_2340_3,plain,
! [U_6093] :
( ( v7_rlvect_1(sK764(U_6093))
& v6_rlvect_1(sK764(U_6093))
& v5_rlvect_1(sK764(U_6093))
& v4_rlvect_1(sK764(U_6093))
& v3_rlvect_1(sK764(U_6093))
& v2_rlvect_1(sK764(U_6093))
& ~ v3_struct_0(sK764(U_6093))
& m1_rlsub_1(sK764(U_6093),U_6093) )
| ~ l2_rlvect_1(U_6093)
| ~ v7_rlvect_1(U_6093)
| ~ v6_rlvect_1(U_6093)
| ~ v5_rlvect_1(U_6093)
| ~ v4_rlvect_1(U_6093)
| ~ v3_rlvect_1(U_6093)
| v3_struct_0(U_6093) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK764]),skolemize(U_6092,sK764(U_6093))],[f_2340_2]) ).
fof(f_2340_4,plain,
( ! [U_6093] :
( v7_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( v6_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( v5_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( v4_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( v3_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( v2_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( ~ v3_struct_0(sK764(U_6093))
| ~ sP1084(U_6093) )
& ! [U_6093] :
( m1_rlsub_1(sK764(U_6093),U_6093)
| ~ sP1084(U_6093) )
& ! [U_6093] :
( sP1084(U_6093)
| ~ l2_rlvect_1(U_6093)
| ~ v7_rlvect_1(U_6093)
| ~ v6_rlvect_1(U_6093)
| ~ v5_rlvect_1(U_6093)
| ~ v4_rlvect_1(U_6093)
| ~ v3_rlvect_1(U_6093)
| v3_struct_0(U_6093) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1084])],[f_2340_3]) ).
cnf(f_2340_5,plain,
( sP1084(U_6093)
| ~ l2_rlvect_1(U_6093)
| ~ v7_rlvect_1(U_6093)
| ~ v6_rlvect_1(U_6093)
| ~ v5_rlvect_1(U_6093)
| ~ v4_rlvect_1(U_6093)
| ~ v3_rlvect_1(U_6093)
| v3_struct_0(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_6,plain,
( m1_rlsub_1(sK764(U_6093),U_6093)
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_7,plain,
( ~ v3_struct_0(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_8,plain,
( v2_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_9,plain,
( v3_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_10,plain,
( v4_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_11,plain,
( v5_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_12,plain,
( v6_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
cnf(f_2340_13,plain,
( v7_rlvect_1(sK764(U_6093))
| ~ sP1084(U_6093) ),
inference(clausify,[status(thm)],[f_2340_4]) ).
fof(f_2341_1,plain,
! [A] :
( ! [B] :
( ( ( v1_rlsub_1(B,A)
| ? [C] :
( ? [D] :
( ~ r2_hidden(k3_rlvect_1(A,D,C),B)
& r2_hidden(D,B)
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,k1_numbers) )
| ? [C] :
( ? [D] :
( ~ r2_hidden(k4_rlvect_1(A,C,D),B)
& r2_hidden(D,B)
& r2_hidden(C,B)
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ( ! [C] :
( ! [D] :
( r2_hidden(k3_rlvect_1(A,D,C),B)
| ~ r2_hidden(D,B)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,k1_numbers) )
& ! [C] :
( ! [D] :
( r2_hidden(k4_rlvect_1(A,C,D),B)
| ~ r2_hidden(D,B)
| ~ r2_hidden(C,B)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) ) )
| ~ v1_rlsub_1(B,A) ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rlsub_1]) ).
fof(f_2341_2,plain,
! [U_6103] :
( ! [U_6102] :
( ( ( v1_rlsub_1(U_6102,U_6103)
| ? [U_6101] :
( ? [U_6100] :
( ~ r2_hidden(k3_rlvect_1(U_6103,U_6100,U_6101),U_6102)
& r2_hidden(U_6100,U_6102)
& m1_subset_1(U_6100,u1_struct_0(U_6103)) )
& m1_subset_1(U_6101,k1_numbers) )
| ? [U_6099] :
( ? [U_6098] :
( ~ r2_hidden(k4_rlvect_1(U_6103,U_6099,U_6098),U_6102)
& r2_hidden(U_6098,U_6102)
& r2_hidden(U_6099,U_6102)
& m1_subset_1(U_6098,u1_struct_0(U_6103)) )
& m1_subset_1(U_6099,u1_struct_0(U_6103)) ) )
& ( ( ! [U_6097] :
( ! [U_6096] :
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6097,k1_numbers) )
& ! [U_6095] :
( ! [U_6094] :
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103)) ) )
| ~ v1_rlsub_1(U_6102,U_6103) ) )
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103))) )
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ),
inference(variable_rename,[status(thm)],[f_2341_1]) ).
fof(f_2341_3,plain,
! [U_6103] :
( ! [U_6102] :
( ( ( v1_rlsub_1(U_6102,U_6103)
| ? [U_6101] :
( ? [U_6100] :
( ~ r2_hidden(k3_rlvect_1(U_6103,U_6100,U_6101),U_6102)
& r2_hidden(U_6100,U_6102)
& m1_subset_1(U_6100,u1_struct_0(U_6103)) )
& m1_subset_1(U_6101,k1_numbers) )
| ( ? [U_6098] :
( ~ r2_hidden(k4_rlvect_1(U_6103,sK765(U_6103,U_6102),U_6098),U_6102)
& r2_hidden(U_6098,U_6102)
& r2_hidden(sK765(U_6103,U_6102),U_6102)
& m1_subset_1(U_6098,u1_struct_0(U_6103)) )
& m1_subset_1(sK765(U_6103,U_6102),u1_struct_0(U_6103)) ) )
& ( ( ! [U_6097] :
( ! [U_6096] :
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6097,k1_numbers) )
& ! [U_6095] :
( ! [U_6094] :
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103)) ) )
| ~ v1_rlsub_1(U_6102,U_6103) ) )
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103))) )
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK765]),skolemize(U_6099,sK765(U_6103,U_6102))],[f_2341_2]) ).
fof(f_2341_4,plain,
! [U_6103] :
( ! [U_6102] :
( ( ( v1_rlsub_1(U_6102,U_6103)
| ? [U_6101] :
( ? [U_6100] :
( ~ r2_hidden(k3_rlvect_1(U_6103,U_6100,U_6101),U_6102)
& r2_hidden(U_6100,U_6102)
& m1_subset_1(U_6100,u1_struct_0(U_6103)) )
& m1_subset_1(U_6101,k1_numbers) )
| ( ~ r2_hidden(k4_rlvect_1(U_6103,sK765(U_6103,U_6102),sK766(U_6103,U_6102)),U_6102)
& r2_hidden(sK766(U_6103,U_6102),U_6102)
& r2_hidden(sK765(U_6103,U_6102),U_6102)
& m1_subset_1(sK766(U_6103,U_6102),u1_struct_0(U_6103))
& m1_subset_1(sK765(U_6103,U_6102),u1_struct_0(U_6103)) ) )
& ( ( ! [U_6097] :
( ! [U_6096] :
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6097,k1_numbers) )
& ! [U_6095] :
( ! [U_6094] :
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103)) ) )
| ~ v1_rlsub_1(U_6102,U_6103) ) )
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103))) )
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK766]),skolemize(U_6098,sK766(U_6103,U_6102))],[f_2341_3]) ).
fof(f_2341_5,plain,
! [U_6103] :
( ! [U_6102] :
( ( ( v1_rlsub_1(U_6102,U_6103)
| ( ? [U_6100] :
( ~ r2_hidden(k3_rlvect_1(U_6103,U_6100,sK767(U_6103,U_6102)),U_6102)
& r2_hidden(U_6100,U_6102)
& m1_subset_1(U_6100,u1_struct_0(U_6103)) )
& m1_subset_1(sK767(U_6103,U_6102),k1_numbers) )
| ( ~ r2_hidden(k4_rlvect_1(U_6103,sK765(U_6103,U_6102),sK766(U_6103,U_6102)),U_6102)
& r2_hidden(sK766(U_6103,U_6102),U_6102)
& r2_hidden(sK765(U_6103,U_6102),U_6102)
& m1_subset_1(sK766(U_6103,U_6102),u1_struct_0(U_6103))
& m1_subset_1(sK765(U_6103,U_6102),u1_struct_0(U_6103)) ) )
& ( ( ! [U_6097] :
( ! [U_6096] :
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6097,k1_numbers) )
& ! [U_6095] :
( ! [U_6094] :
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103)) ) )
| ~ v1_rlsub_1(U_6102,U_6103) ) )
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103))) )
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK767]),skolemize(U_6101,sK767(U_6103,U_6102))],[f_2341_4]) ).
fof(f_2341_6,plain,
! [U_6103] :
( ! [U_6102] :
( ( ( v1_rlsub_1(U_6102,U_6103)
| ( ~ r2_hidden(k3_rlvect_1(U_6103,sK768(U_6103,U_6102),sK767(U_6103,U_6102)),U_6102)
& r2_hidden(sK768(U_6103,U_6102),U_6102)
& m1_subset_1(sK768(U_6103,U_6102),u1_struct_0(U_6103))
& m1_subset_1(sK767(U_6103,U_6102),k1_numbers) )
| ( ~ r2_hidden(k4_rlvect_1(U_6103,sK765(U_6103,U_6102),sK766(U_6103,U_6102)),U_6102)
& r2_hidden(sK766(U_6103,U_6102),U_6102)
& r2_hidden(sK765(U_6103,U_6102),U_6102)
& m1_subset_1(sK766(U_6103,U_6102),u1_struct_0(U_6103))
& m1_subset_1(sK765(U_6103,U_6102),u1_struct_0(U_6103)) ) )
& ( ( ! [U_6097] :
( ! [U_6096] :
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6097,k1_numbers) )
& ! [U_6095] :
( ! [U_6094] :
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103)) )
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103)) ) )
| ~ v1_rlsub_1(U_6102,U_6103) ) )
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103))) )
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK768]),skolemize(U_6100,sK768(U_6103,U_6102))],[f_2341_5]) ).
fof(f_2341_7,plain,
( ! [U_6102,U_6103] :
( ~ r2_hidden(k3_rlvect_1(U_6103,sK768(U_6103,U_6102),sK767(U_6103,U_6102)),U_6102)
| ~ sP1087(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( r2_hidden(sK768(U_6103,U_6102),U_6102)
| ~ sP1087(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( m1_subset_1(sK768(U_6103,U_6102),u1_struct_0(U_6103))
| ~ sP1087(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( m1_subset_1(sK767(U_6103,U_6102),k1_numbers)
| ~ sP1087(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( ~ r2_hidden(k4_rlvect_1(U_6103,sK765(U_6103,U_6102),sK766(U_6103,U_6102)),U_6102)
| ~ sP1086(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( r2_hidden(sK766(U_6103,U_6102),U_6102)
| ~ sP1086(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( r2_hidden(sK765(U_6103,U_6102),U_6102)
| ~ sP1086(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( m1_subset_1(sK766(U_6103,U_6102),u1_struct_0(U_6103))
| ~ sP1086(U_6102,U_6103) )
& ! [U_6102,U_6103] :
( m1_subset_1(sK765(U_6103,U_6102),u1_struct_0(U_6103))
| ~ sP1086(U_6102,U_6103) )
& ! [U_6094,U_6102,U_6103,U_6097,U_6096,U_6095] :
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103))
| ~ m1_subset_1(U_6097,k1_numbers)
| ~ sP1085(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) )
& ! [U_6094,U_6102,U_6103,U_6097,U_6096,U_6095] :
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103))
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103))
| ~ sP1085(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) )
& ! [U_6094,U_6102,U_6103,U_6097,U_6096,U_6095] :
( v1_rlsub_1(U_6102,U_6103)
| sP1087(U_6102,U_6103)
| sP1086(U_6102,U_6103)
| ~ sP1088(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) )
& ! [U_6094,U_6102,U_6103,U_6097,U_6096,U_6095] :
( sP1085(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095)
| ~ v1_rlsub_1(U_6102,U_6103)
| ~ sP1088(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) )
& ! [U_6094,U_6102,U_6103,U_6097,U_6096,U_6095] :
( sP1088(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095)
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103)))
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1085,sP1086,sP1087,sP1088])],[f_2341_6]) ).
cnf(f_2341_8,plain,
( sP1088(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095)
| ~ m1_subset_1(U_6102,k1_zfmisc_1(u1_struct_0(U_6103)))
| ~ l2_rlvect_1(U_6103)
| ~ v7_rlvect_1(U_6103)
| ~ v6_rlvect_1(U_6103)
| ~ v5_rlvect_1(U_6103)
| ~ v4_rlvect_1(U_6103)
| ~ v3_rlvect_1(U_6103)
| v3_struct_0(U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_9,plain,
( sP1085(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095)
| ~ v1_rlsub_1(U_6102,U_6103)
| ~ sP1088(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_10,plain,
( v1_rlsub_1(U_6102,U_6103)
| sP1087(U_6102,U_6103)
| sP1086(U_6102,U_6103)
| ~ sP1088(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_11,plain,
( r2_hidden(k4_rlvect_1(U_6103,U_6095,U_6094),U_6102)
| ~ r2_hidden(U_6094,U_6102)
| ~ r2_hidden(U_6095,U_6102)
| ~ m1_subset_1(U_6094,u1_struct_0(U_6103))
| ~ m1_subset_1(U_6095,u1_struct_0(U_6103))
| ~ sP1085(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_12,plain,
( r2_hidden(k3_rlvect_1(U_6103,U_6096,U_6097),U_6102)
| ~ r2_hidden(U_6096,U_6102)
| ~ m1_subset_1(U_6096,u1_struct_0(U_6103))
| ~ m1_subset_1(U_6097,k1_numbers)
| ~ sP1085(U_6094,U_6102,U_6103,U_6097,U_6096,U_6095) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_13,plain,
( m1_subset_1(sK765(U_6103,U_6102),u1_struct_0(U_6103))
| ~ sP1086(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_14,plain,
( m1_subset_1(sK766(U_6103,U_6102),u1_struct_0(U_6103))
| ~ sP1086(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_15,plain,
( r2_hidden(sK765(U_6103,U_6102),U_6102)
| ~ sP1086(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_16,plain,
( r2_hidden(sK766(U_6103,U_6102),U_6102)
| ~ sP1086(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_17,plain,
( ~ r2_hidden(k4_rlvect_1(U_6103,sK765(U_6103,U_6102),sK766(U_6103,U_6102)),U_6102)
| ~ sP1086(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_18,plain,
( m1_subset_1(sK767(U_6103,U_6102),k1_numbers)
| ~ sP1087(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_19,plain,
( m1_subset_1(sK768(U_6103,U_6102),u1_struct_0(U_6103))
| ~ sP1087(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_20,plain,
( r2_hidden(sK768(U_6103,U_6102),U_6102)
| ~ sP1087(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
cnf(f_2341_21,plain,
( ~ r2_hidden(k3_rlvect_1(U_6103,sK768(U_6103,U_6102),sK767(U_6103,U_6102)),U_6102)
| ~ sP1087(U_6102,U_6103) ),
inference(clausify,[status(thm)],[f_2341_7]) ).
fof(f_2342_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_rlsub_1]) ).
fof(f_2342_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2342_1]) ).
cnf(f_2342_3,plain,
$true,
inference(clausify,[status(thm)],[f_2342_2]) ).
fof(f_2343_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_rlsub_1]) ).
fof(f_2343_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2343_1]) ).
cnf(f_2343_3,plain,
$true,
inference(clausify,[status(thm)],[f_2343_2]) ).
fof(f_2344_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_rlsub_1]) ).
fof(f_2344_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2344_1]) ).
cnf(f_2344_3,plain,
$true,
inference(clausify,[status(thm)],[f_2344_2]) ).
fof(f_2345_1,plain,
! [A] :
( ! [B] :
( r2_hidden(k1_rlvect_1(A),B)
| B = k1_xboole_0
| ~ v1_rlsub_1(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t4_rlsub_1]) ).
fof(f_2345_2,plain,
! [U_6105] :
( ! [U_6104] :
( r2_hidden(k1_rlvect_1(U_6105),U_6104)
| U_6104 = k1_xboole_0
| ~ v1_rlsub_1(U_6104,U_6105)
| ~ m1_subset_1(U_6104,k1_zfmisc_1(u1_struct_0(U_6105))) )
| ~ l2_rlvect_1(U_6105)
| ~ v7_rlvect_1(U_6105)
| ~ v6_rlvect_1(U_6105)
| ~ v5_rlvect_1(U_6105)
| ~ v4_rlvect_1(U_6105)
| ~ v3_rlvect_1(U_6105)
| v3_struct_0(U_6105) ),
inference(variable_rename,[status(thm)],[f_2345_1]) ).
fof(f_2345_3,plain,
! [U_6104,U_6105] :
( r2_hidden(k1_rlvect_1(U_6105),U_6104)
| U_6104 = k1_xboole_0
| ~ v1_rlsub_1(U_6104,U_6105)
| ~ m1_subset_1(U_6104,k1_zfmisc_1(u1_struct_0(U_6105)))
| ~ l2_rlvect_1(U_6105)
| ~ v7_rlvect_1(U_6105)
| ~ v6_rlvect_1(U_6105)
| ~ v5_rlvect_1(U_6105)
| ~ v4_rlvect_1(U_6105)
| ~ v3_rlvect_1(U_6105)
| v3_struct_0(U_6105) ),
inference(definitional_conversion,[status(esa)],[f_2345_2]) ).
cnf(f_2345_4,plain,
( r2_hidden(k1_rlvect_1(U_6105),U_6104)
| U_6104 = k1_xboole_0
| ~ v1_rlsub_1(U_6104,U_6105)
| ~ m1_subset_1(U_6104,k1_zfmisc_1(u1_struct_0(U_6105)))
| ~ l2_rlvect_1(U_6105)
| ~ v7_rlvect_1(U_6105)
| ~ v6_rlvect_1(U_6105)
| ~ v5_rlvect_1(U_6105)
| ~ v4_rlvect_1(U_6105)
| ~ v3_rlvect_1(U_6105)
| v3_struct_0(U_6105) ),
inference(clausify,[status(thm)],[f_2345_3]) ).
fof(f_2346_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(k5_rlvect_1(A,C),B)
| ~ r2_hidden(C,B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v1_rlsub_1(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rlsub_1]) ).
fof(f_2346_2,plain,
! [U_6108] :
( ! [U_6107] :
( ! [U_6106] :
( r2_hidden(k5_rlvect_1(U_6108,U_6106),U_6107)
| ~ r2_hidden(U_6106,U_6107)
| ~ m1_subset_1(U_6106,u1_struct_0(U_6108)) )
| ~ v1_rlsub_1(U_6107,U_6108)
| ~ m1_subset_1(U_6107,k1_zfmisc_1(u1_struct_0(U_6108))) )
| ~ l2_rlvect_1(U_6108)
| ~ v7_rlvect_1(U_6108)
| ~ v6_rlvect_1(U_6108)
| ~ v5_rlvect_1(U_6108)
| ~ v4_rlvect_1(U_6108)
| ~ v3_rlvect_1(U_6108)
| v3_struct_0(U_6108) ),
inference(variable_rename,[status(thm)],[f_2346_1]) ).
fof(f_2346_3,plain,
! [U_6106,U_6107,U_6108] :
( r2_hidden(k5_rlvect_1(U_6108,U_6106),U_6107)
| ~ r2_hidden(U_6106,U_6107)
| ~ m1_subset_1(U_6106,u1_struct_0(U_6108))
| ~ v1_rlsub_1(U_6107,U_6108)
| ~ m1_subset_1(U_6107,k1_zfmisc_1(u1_struct_0(U_6108)))
| ~ l2_rlvect_1(U_6108)
| ~ v7_rlvect_1(U_6108)
| ~ v6_rlvect_1(U_6108)
| ~ v5_rlvect_1(U_6108)
| ~ v4_rlvect_1(U_6108)
| ~ v3_rlvect_1(U_6108)
| v3_struct_0(U_6108) ),
inference(definitional_conversion,[status(esa)],[f_2346_2]) ).
cnf(f_2346_4,plain,
( r2_hidden(k5_rlvect_1(U_6108,U_6106),U_6107)
| ~ r2_hidden(U_6106,U_6107)
| ~ m1_subset_1(U_6106,u1_struct_0(U_6108))
| ~ v1_rlsub_1(U_6107,U_6108)
| ~ m1_subset_1(U_6107,k1_zfmisc_1(u1_struct_0(U_6108)))
| ~ l2_rlvect_1(U_6108)
| ~ v7_rlvect_1(U_6108)
| ~ v6_rlvect_1(U_6108)
| ~ v5_rlvect_1(U_6108)
| ~ v4_rlvect_1(U_6108)
| ~ v3_rlvect_1(U_6108)
| v3_struct_0(U_6108) ),
inference(clausify,[status(thm)],[f_2346_3]) ).
fof(f_2347_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r2_hidden(k6_rlvect_1(A,C,D),B)
| ~ r2_hidden(D,B)
| ~ r2_hidden(C,B)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v1_rlsub_1(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_rlsub_1]) ).
fof(f_2347_2,plain,
! [U_6112] :
( ! [U_6111] :
( ! [U_6110] :
( ! [U_6109] :
( r2_hidden(k6_rlvect_1(U_6112,U_6110,U_6109),U_6111)
| ~ r2_hidden(U_6109,U_6111)
| ~ r2_hidden(U_6110,U_6111)
| ~ m1_subset_1(U_6109,u1_struct_0(U_6112)) )
| ~ m1_subset_1(U_6110,u1_struct_0(U_6112)) )
| ~ v1_rlsub_1(U_6111,U_6112)
| ~ m1_subset_1(U_6111,k1_zfmisc_1(u1_struct_0(U_6112))) )
| ~ l2_rlvect_1(U_6112)
| ~ v7_rlvect_1(U_6112)
| ~ v6_rlvect_1(U_6112)
| ~ v5_rlvect_1(U_6112)
| ~ v4_rlvect_1(U_6112)
| ~ v3_rlvect_1(U_6112)
| v3_struct_0(U_6112) ),
inference(variable_rename,[status(thm)],[f_2347_1]) ).
fof(f_2347_3,plain,
! [U_6111,U_6109,U_6112,U_6110] :
( r2_hidden(k6_rlvect_1(U_6112,U_6110,U_6109),U_6111)
| ~ r2_hidden(U_6109,U_6111)
| ~ r2_hidden(U_6110,U_6111)
| ~ m1_subset_1(U_6109,u1_struct_0(U_6112))
| ~ m1_subset_1(U_6110,u1_struct_0(U_6112))
| ~ v1_rlsub_1(U_6111,U_6112)
| ~ m1_subset_1(U_6111,k1_zfmisc_1(u1_struct_0(U_6112)))
| ~ l2_rlvect_1(U_6112)
| ~ v7_rlvect_1(U_6112)
| ~ v6_rlvect_1(U_6112)
| ~ v5_rlvect_1(U_6112)
| ~ v4_rlvect_1(U_6112)
| ~ v3_rlvect_1(U_6112)
| v3_struct_0(U_6112) ),
inference(definitional_conversion,[status(esa)],[f_2347_2]) ).
cnf(f_2347_4,plain,
( r2_hidden(k6_rlvect_1(U_6112,U_6110,U_6109),U_6111)
| ~ r2_hidden(U_6109,U_6111)
| ~ r2_hidden(U_6110,U_6111)
| ~ m1_subset_1(U_6109,u1_struct_0(U_6112))
| ~ m1_subset_1(U_6110,u1_struct_0(U_6112))
| ~ v1_rlsub_1(U_6111,U_6112)
| ~ m1_subset_1(U_6111,k1_zfmisc_1(u1_struct_0(U_6112)))
| ~ l2_rlvect_1(U_6112)
| ~ v7_rlvect_1(U_6112)
| ~ v6_rlvect_1(U_6112)
| ~ v5_rlvect_1(U_6112)
| ~ v4_rlvect_1(U_6112)
| ~ v3_rlvect_1(U_6112)
| v3_struct_0(U_6112) ),
inference(clausify,[status(thm)],[f_2347_3]) ).
fof(f_2348_1,plain,
! [A] :
( v1_rlsub_1(k1_struct_0(A,k1_rlvect_1(A)),A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_rlsub_1]) ).
fof(f_2348_2,plain,
! [U_6113] :
( v1_rlsub_1(k1_struct_0(U_6113,k1_rlvect_1(U_6113)),U_6113)
| ~ l2_rlvect_1(U_6113)
| ~ v7_rlvect_1(U_6113)
| ~ v6_rlvect_1(U_6113)
| ~ v5_rlvect_1(U_6113)
| ~ v4_rlvect_1(U_6113)
| ~ v3_rlvect_1(U_6113)
| v3_struct_0(U_6113) ),
inference(variable_rename,[status(thm)],[f_2348_1]) ).
fof(f_2348_3,plain,
! [U_6113] :
( v1_rlsub_1(k1_struct_0(U_6113,k1_rlvect_1(U_6113)),U_6113)
| ~ l2_rlvect_1(U_6113)
| ~ v7_rlvect_1(U_6113)
| ~ v6_rlvect_1(U_6113)
| ~ v5_rlvect_1(U_6113)
| ~ v4_rlvect_1(U_6113)
| ~ v3_rlvect_1(U_6113)
| v3_struct_0(U_6113) ),
inference(definitional_conversion,[status(esa)],[f_2348_2]) ).
cnf(f_2348_4,plain,
( v1_rlsub_1(k1_struct_0(U_6113,k1_rlvect_1(U_6113)),U_6113)
| ~ l2_rlvect_1(U_6113)
| ~ v7_rlvect_1(U_6113)
| ~ v6_rlvect_1(U_6113)
| ~ v5_rlvect_1(U_6113)
| ~ v4_rlvect_1(U_6113)
| ~ v3_rlvect_1(U_6113)
| v3_struct_0(U_6113) ),
inference(clausify,[status(thm)],[f_2348_3]) ).
fof(f_2349_1,plain,
! [A] :
( ! [B] :
( v1_rlsub_1(B,A)
| u1_struct_0(A) != B
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t8_rlsub_1]) ).
fof(f_2349_2,plain,
! [U_6115] :
( ! [U_6114] :
( v1_rlsub_1(U_6114,U_6115)
| u1_struct_0(U_6115) != U_6114
| ~ m1_subset_1(U_6114,k1_zfmisc_1(u1_struct_0(U_6115))) )
| ~ l2_rlvect_1(U_6115)
| ~ v7_rlvect_1(U_6115)
| ~ v6_rlvect_1(U_6115)
| ~ v5_rlvect_1(U_6115)
| ~ v4_rlvect_1(U_6115)
| ~ v3_rlvect_1(U_6115)
| v3_struct_0(U_6115) ),
inference(variable_rename,[status(thm)],[f_2349_1]) ).
fof(f_2349_3,plain,
! [U_6115,U_6114] :
( v1_rlsub_1(U_6114,U_6115)
| u1_struct_0(U_6115) != U_6114
| ~ m1_subset_1(U_6114,k1_zfmisc_1(u1_struct_0(U_6115)))
| ~ l2_rlvect_1(U_6115)
| ~ v7_rlvect_1(U_6115)
| ~ v6_rlvect_1(U_6115)
| ~ v5_rlvect_1(U_6115)
| ~ v4_rlvect_1(U_6115)
| ~ v3_rlvect_1(U_6115)
| v3_struct_0(U_6115) ),
inference(definitional_conversion,[status(esa)],[f_2349_2]) ).
cnf(f_2349_4,plain,
( v1_rlsub_1(U_6114,U_6115)
| u1_struct_0(U_6115) != U_6114
| ~ m1_subset_1(U_6114,k1_zfmisc_1(u1_struct_0(U_6115)))
| ~ l2_rlvect_1(U_6115)
| ~ v7_rlvect_1(U_6115)
| ~ v6_rlvect_1(U_6115)
| ~ v5_rlvect_1(U_6115)
| ~ v4_rlvect_1(U_6115)
| ~ v3_rlvect_1(U_6115)
| v3_struct_0(U_6115) ),
inference(clausify,[status(thm)],[f_2349_3]) ).
fof(f_2350_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( v1_rlsub_1(k5_subset_1(u1_struct_0(A),B,C),A)
| ~ v1_rlsub_1(C,A)
| ~ v1_rlsub_1(B,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t10_rlsub_1]) ).
fof(f_2350_2,plain,
! [U_6118] :
( ! [U_6117] :
( ! [U_6116] :
( v1_rlsub_1(k5_subset_1(u1_struct_0(U_6118),U_6117,U_6116),U_6118)
| ~ v1_rlsub_1(U_6116,U_6118)
| ~ v1_rlsub_1(U_6117,U_6118)
| ~ m1_subset_1(U_6116,k1_zfmisc_1(u1_struct_0(U_6118))) )
| ~ m1_subset_1(U_6117,k1_zfmisc_1(u1_struct_0(U_6118))) )
| ~ l2_rlvect_1(U_6118)
| ~ v7_rlvect_1(U_6118)
| ~ v6_rlvect_1(U_6118)
| ~ v5_rlvect_1(U_6118)
| ~ v4_rlvect_1(U_6118)
| ~ v3_rlvect_1(U_6118)
| v3_struct_0(U_6118) ),
inference(variable_rename,[status(thm)],[f_2350_1]) ).
fof(f_2350_3,plain,
! [U_6118,U_6117,U_6116] :
( v1_rlsub_1(k5_subset_1(u1_struct_0(U_6118),U_6117,U_6116),U_6118)
| ~ v1_rlsub_1(U_6116,U_6118)
| ~ v1_rlsub_1(U_6117,U_6118)
| ~ m1_subset_1(U_6116,k1_zfmisc_1(u1_struct_0(U_6118)))
| ~ m1_subset_1(U_6117,k1_zfmisc_1(u1_struct_0(U_6118)))
| ~ l2_rlvect_1(U_6118)
| ~ v7_rlvect_1(U_6118)
| ~ v6_rlvect_1(U_6118)
| ~ v5_rlvect_1(U_6118)
| ~ v4_rlvect_1(U_6118)
| ~ v3_rlvect_1(U_6118)
| v3_struct_0(U_6118) ),
inference(definitional_conversion,[status(esa)],[f_2350_2]) ).
cnf(f_2350_4,plain,
( v1_rlsub_1(k5_subset_1(u1_struct_0(U_6118),U_6117,U_6116),U_6118)
| ~ v1_rlsub_1(U_6116,U_6118)
| ~ v1_rlsub_1(U_6117,U_6118)
| ~ m1_subset_1(U_6116,k1_zfmisc_1(u1_struct_0(U_6118)))
| ~ m1_subset_1(U_6117,k1_zfmisc_1(u1_struct_0(U_6118)))
| ~ l2_rlvect_1(U_6118)
| ~ v7_rlvect_1(U_6118)
| ~ v6_rlvect_1(U_6118)
| ~ v5_rlvect_1(U_6118)
| ~ v4_rlvect_1(U_6118)
| ~ v3_rlvect_1(U_6118)
| v3_struct_0(U_6118) ),
inference(clausify,[status(thm)],[f_2350_3]) ).
fof(f_2351_1,plain,
! [A] :
( ! [B] :
( ( ( m1_rlsub_1(B,A)
| u2_rlvect_1(B) != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B)))
| u1_rlvect_1(B) != k1_realset1(u1_rlvect_1(A),u1_struct_0(B))
| u2_struct_0(B) != u2_struct_0(A)
| ~ r1_tarski(u1_struct_0(B),u1_struct_0(A)) )
& ( ( u2_rlvect_1(B) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B)))
& u1_rlvect_1(B) = k1_realset1(u1_rlvect_1(A),u1_struct_0(B))
& u2_struct_0(B) = u2_struct_0(A)
& r1_tarski(u1_struct_0(B),u1_struct_0(A)) )
| ~ m1_rlsub_1(B,A) ) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_rlsub_1]) ).
fof(f_2351_2,plain,
! [U_6120] :
( ! [U_6119] :
( ( ( m1_rlsub_1(U_6119,U_6120)
| u2_rlvect_1(U_6119) != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6120)),u1_struct_0(U_6120),u2_rlvect_1(U_6120),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6119)))
| u1_rlvect_1(U_6119) != k1_realset1(u1_rlvect_1(U_6120),u1_struct_0(U_6119))
| u2_struct_0(U_6119) != u2_struct_0(U_6120)
| ~ r1_tarski(u1_struct_0(U_6119),u1_struct_0(U_6120)) )
& ( ( u2_rlvect_1(U_6119) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6120)),u1_struct_0(U_6120),u2_rlvect_1(U_6120),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6119)))
& u1_rlvect_1(U_6119) = k1_realset1(u1_rlvect_1(U_6120),u1_struct_0(U_6119))
& u2_struct_0(U_6119) = u2_struct_0(U_6120)
& r1_tarski(u1_struct_0(U_6119),u1_struct_0(U_6120)) )
| ~ m1_rlsub_1(U_6119,U_6120) ) )
| ~ l2_rlvect_1(U_6119)
| ~ v7_rlvect_1(U_6119)
| ~ v6_rlvect_1(U_6119)
| ~ v5_rlvect_1(U_6119)
| ~ v4_rlvect_1(U_6119)
| ~ v3_rlvect_1(U_6119)
| v3_struct_0(U_6119) )
| ~ l2_rlvect_1(U_6120)
| ~ v7_rlvect_1(U_6120)
| ~ v6_rlvect_1(U_6120)
| ~ v5_rlvect_1(U_6120)
| ~ v4_rlvect_1(U_6120)
| ~ v3_rlvect_1(U_6120)
| v3_struct_0(U_6120) ),
inference(variable_rename,[status(thm)],[f_2351_1]) ).
fof(f_2351_3,plain,
( ! [U_6119,U_6120] :
( u2_rlvect_1(U_6119) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6120)),u1_struct_0(U_6120),u2_rlvect_1(U_6120),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6119)))
| ~ sP1089(U_6119,U_6120) )
& ! [U_6119,U_6120] :
( u1_rlvect_1(U_6119) = k1_realset1(u1_rlvect_1(U_6120),u1_struct_0(U_6119))
| ~ sP1089(U_6119,U_6120) )
& ! [U_6119,U_6120] :
( u2_struct_0(U_6119) = u2_struct_0(U_6120)
| ~ sP1089(U_6119,U_6120) )
& ! [U_6119,U_6120] :
( r1_tarski(u1_struct_0(U_6119),u1_struct_0(U_6120))
| ~ sP1089(U_6119,U_6120) )
& ! [U_6119,U_6120] :
( m1_rlsub_1(U_6119,U_6120)
| u2_rlvect_1(U_6119) != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6120)),u1_struct_0(U_6120),u2_rlvect_1(U_6120),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6119)))
| u1_rlvect_1(U_6119) != k1_realset1(u1_rlvect_1(U_6120),u1_struct_0(U_6119))
| u2_struct_0(U_6119) != u2_struct_0(U_6120)
| ~ r1_tarski(u1_struct_0(U_6119),u1_struct_0(U_6120))
| ~ sP1090(U_6119,U_6120) )
& ! [U_6119,U_6120] :
( sP1089(U_6119,U_6120)
| ~ m1_rlsub_1(U_6119,U_6120)
| ~ sP1090(U_6119,U_6120) )
& ! [U_6119,U_6120] :
( sP1090(U_6119,U_6120)
| ~ l2_rlvect_1(U_6119)
| ~ v7_rlvect_1(U_6119)
| ~ v6_rlvect_1(U_6119)
| ~ v5_rlvect_1(U_6119)
| ~ v4_rlvect_1(U_6119)
| ~ v3_rlvect_1(U_6119)
| v3_struct_0(U_6119)
| ~ l2_rlvect_1(U_6120)
| ~ v7_rlvect_1(U_6120)
| ~ v6_rlvect_1(U_6120)
| ~ v5_rlvect_1(U_6120)
| ~ v4_rlvect_1(U_6120)
| ~ v3_rlvect_1(U_6120)
| v3_struct_0(U_6120) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1089,sP1090])],[f_2351_2]) ).
cnf(f_2351_4,plain,
( sP1090(U_6119,U_6120)
| ~ l2_rlvect_1(U_6119)
| ~ v7_rlvect_1(U_6119)
| ~ v6_rlvect_1(U_6119)
| ~ v5_rlvect_1(U_6119)
| ~ v4_rlvect_1(U_6119)
| ~ v3_rlvect_1(U_6119)
| v3_struct_0(U_6119)
| ~ l2_rlvect_1(U_6120)
| ~ v7_rlvect_1(U_6120)
| ~ v6_rlvect_1(U_6120)
| ~ v5_rlvect_1(U_6120)
| ~ v4_rlvect_1(U_6120)
| ~ v3_rlvect_1(U_6120)
| v3_struct_0(U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
cnf(f_2351_5,plain,
( sP1089(U_6119,U_6120)
| ~ m1_rlsub_1(U_6119,U_6120)
| ~ sP1090(U_6119,U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
cnf(f_2351_6,plain,
( m1_rlsub_1(U_6119,U_6120)
| u2_rlvect_1(U_6119) != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6120)),u1_struct_0(U_6120),u2_rlvect_1(U_6120),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6119)))
| u1_rlvect_1(U_6119) != k1_realset1(u1_rlvect_1(U_6120),u1_struct_0(U_6119))
| u2_struct_0(U_6119) != u2_struct_0(U_6120)
| ~ r1_tarski(u1_struct_0(U_6119),u1_struct_0(U_6120))
| ~ sP1090(U_6119,U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
cnf(f_2351_7,plain,
( r1_tarski(u1_struct_0(U_6119),u1_struct_0(U_6120))
| ~ sP1089(U_6119,U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
cnf(f_2351_8,plain,
( u2_struct_0(U_6119) = u2_struct_0(U_6120)
| ~ sP1089(U_6119,U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
cnf(f_2351_9,plain,
( u1_rlvect_1(U_6119) = k1_realset1(u1_rlvect_1(U_6120),u1_struct_0(U_6119))
| ~ sP1089(U_6119,U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
cnf(f_2351_10,plain,
( u2_rlvect_1(U_6119) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6120)),u1_struct_0(U_6120),u2_rlvect_1(U_6120),k2_zfmisc_1(k1_numbers,u1_struct_0(U_6119)))
| ~ sP1089(U_6119,U_6120) ),
inference(clausify,[status(thm)],[f_2351_3]) ).
fof(f_2352_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_rlsub_1]) ).
fof(f_2352_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2352_1]) ).
cnf(f_2352_3,plain,
$true,
inference(clausify,[status(thm)],[f_2352_2]) ).
fof(f_2353_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_rlsub_1]) ).
fof(f_2353_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2353_1]) ).
cnf(f_2353_3,plain,
$true,
inference(clausify,[status(thm)],[f_2353_2]) ).
fof(f_2354_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_rlsub_1]) ).
fof(f_2354_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2354_1]) ).
cnf(f_2354_3,plain,
$true,
inference(clausify,[status(thm)],[f_2354_2]) ).
fof(f_2355_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_rlsub_1]) ).
fof(f_2355_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2355_1]) ).
cnf(f_2355_3,plain,
$true,
inference(clausify,[status(thm)],[f_2355_2]) ).
fof(f_2356_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_rlsub_1]) ).
fof(f_2356_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2356_1]) ).
cnf(f_2356_3,plain,
$true,
inference(clausify,[status(thm)],[f_2356_2]) ).
fof(f_2357_1,plain,
! [A] :
( ! [B,C] :
( ! [D] :
( r1_rlvect_1(D,B)
| ~ m1_rlsub_1(C,D)
| ~ r1_rlvect_1(C,B)
| ~ m1_rlsub_1(D,A) )
| ~ m1_rlsub_1(C,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t16_rlsub_1]) ).
fof(f_2357_2,plain,
! [U_6124] :
( ! [U_6123,U_6122] :
( ! [U_6121] :
( r1_rlvect_1(U_6121,U_6123)
| ~ m1_rlsub_1(U_6122,U_6121)
| ~ r1_rlvect_1(U_6122,U_6123)
| ~ m1_rlsub_1(U_6121,U_6124) )
| ~ m1_rlsub_1(U_6122,U_6124) )
| ~ l2_rlvect_1(U_6124)
| ~ v7_rlvect_1(U_6124)
| ~ v6_rlvect_1(U_6124)
| ~ v5_rlvect_1(U_6124)
| ~ v4_rlvect_1(U_6124)
| ~ v3_rlvect_1(U_6124)
| v3_struct_0(U_6124) ),
inference(variable_rename,[status(thm)],[f_2357_1]) ).
fof(f_2357_3,plain,
! [U_6124,U_6123,U_6121,U_6122] :
( r1_rlvect_1(U_6121,U_6123)
| ~ m1_rlsub_1(U_6122,U_6121)
| ~ r1_rlvect_1(U_6122,U_6123)
| ~ m1_rlsub_1(U_6121,U_6124)
| ~ m1_rlsub_1(U_6122,U_6124)
| ~ l2_rlvect_1(U_6124)
| ~ v7_rlvect_1(U_6124)
| ~ v6_rlvect_1(U_6124)
| ~ v5_rlvect_1(U_6124)
| ~ v4_rlvect_1(U_6124)
| ~ v3_rlvect_1(U_6124)
| v3_struct_0(U_6124) ),
inference(definitional_conversion,[status(esa)],[f_2357_2]) ).
cnf(f_2357_4,plain,
( r1_rlvect_1(U_6121,U_6123)
| ~ m1_rlsub_1(U_6122,U_6121)
| ~ r1_rlvect_1(U_6122,U_6123)
| ~ m1_rlsub_1(U_6121,U_6124)
| ~ m1_rlsub_1(U_6122,U_6124)
| ~ l2_rlvect_1(U_6124)
| ~ v7_rlvect_1(U_6124)
| ~ v6_rlvect_1(U_6124)
| ~ v5_rlvect_1(U_6124)
| ~ v4_rlvect_1(U_6124)
| ~ v3_rlvect_1(U_6124)
| v3_struct_0(U_6124) ),
inference(clausify,[status(thm)],[f_2357_3]) ).
fof(f_2358_1,plain,
! [A] :
( ! [B,C] :
( r1_rlvect_1(A,B)
| ~ r1_rlvect_1(C,B)
| ~ m1_rlsub_1(C,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t17_rlsub_1]) ).
fof(f_2358_2,plain,
! [U_6127] :
( ! [U_6126,U_6125] :
( r1_rlvect_1(U_6127,U_6126)
| ~ r1_rlvect_1(U_6125,U_6126)
| ~ m1_rlsub_1(U_6125,U_6127) )
| ~ l2_rlvect_1(U_6127)
| ~ v7_rlvect_1(U_6127)
| ~ v6_rlvect_1(U_6127)
| ~ v5_rlvect_1(U_6127)
| ~ v4_rlvect_1(U_6127)
| ~ v3_rlvect_1(U_6127)
| v3_struct_0(U_6127) ),
inference(variable_rename,[status(thm)],[f_2358_1]) ).
fof(f_2358_3,plain,
! [U_6125,U_6126,U_6127] :
( r1_rlvect_1(U_6127,U_6126)
| ~ r1_rlvect_1(U_6125,U_6126)
| ~ m1_rlsub_1(U_6125,U_6127)
| ~ l2_rlvect_1(U_6127)
| ~ v7_rlvect_1(U_6127)
| ~ v6_rlvect_1(U_6127)
| ~ v5_rlvect_1(U_6127)
| ~ v4_rlvect_1(U_6127)
| ~ v3_rlvect_1(U_6127)
| v3_struct_0(U_6127) ),
inference(definitional_conversion,[status(esa)],[f_2358_2]) ).
cnf(f_2358_4,plain,
( r1_rlvect_1(U_6127,U_6126)
| ~ r1_rlvect_1(U_6125,U_6126)
| ~ m1_rlsub_1(U_6125,U_6127)
| ~ l2_rlvect_1(U_6127)
| ~ v7_rlvect_1(U_6127)
| ~ v6_rlvect_1(U_6127)
| ~ v5_rlvect_1(U_6127)
| ~ v4_rlvect_1(U_6127)
| ~ v3_rlvect_1(U_6127)
| v3_struct_0(U_6127) ),
inference(clausify,[status(thm)],[f_2358_3]) ).
fof(f_2359_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t18_rlsub_1]) ).
fof(f_2359_2,plain,
! [U_6130] :
( ! [U_6129] :
( ! [U_6128] :
( m1_subset_1(U_6128,u1_struct_0(U_6130))
| ~ m1_subset_1(U_6128,u1_struct_0(U_6129)) )
| ~ m1_rlsub_1(U_6129,U_6130) )
| ~ l2_rlvect_1(U_6130)
| ~ v7_rlvect_1(U_6130)
| ~ v6_rlvect_1(U_6130)
| ~ v5_rlvect_1(U_6130)
| ~ v4_rlvect_1(U_6130)
| ~ v3_rlvect_1(U_6130)
| v3_struct_0(U_6130) ),
inference(variable_rename,[status(thm)],[f_2359_1]) ).
fof(f_2359_3,plain,
! [U_6129,U_6128,U_6130] :
( m1_subset_1(U_6128,u1_struct_0(U_6130))
| ~ m1_subset_1(U_6128,u1_struct_0(U_6129))
| ~ m1_rlsub_1(U_6129,U_6130)
| ~ l2_rlvect_1(U_6130)
| ~ v7_rlvect_1(U_6130)
| ~ v6_rlvect_1(U_6130)
| ~ v5_rlvect_1(U_6130)
| ~ v4_rlvect_1(U_6130)
| ~ v3_rlvect_1(U_6130)
| v3_struct_0(U_6130) ),
inference(definitional_conversion,[status(esa)],[f_2359_2]) ).
cnf(f_2359_4,plain,
( m1_subset_1(U_6128,u1_struct_0(U_6130))
| ~ m1_subset_1(U_6128,u1_struct_0(U_6129))
| ~ m1_rlsub_1(U_6129,U_6130)
| ~ l2_rlvect_1(U_6130)
| ~ v7_rlvect_1(U_6130)
| ~ v6_rlvect_1(U_6130)
| ~ v5_rlvect_1(U_6130)
| ~ v4_rlvect_1(U_6130)
| ~ v3_rlvect_1(U_6130)
| v3_struct_0(U_6130) ),
inference(clausify,[status(thm)],[f_2359_3]) ).
fof(f_2360_1,plain,
! [A] :
( ! [B] :
( k1_rlvect_1(B) = k1_rlvect_1(A)
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_rlsub_1]) ).
fof(f_2360_2,plain,
! [U_6132] :
( ! [U_6131] :
( k1_rlvect_1(U_6131) = k1_rlvect_1(U_6132)
| ~ m1_rlsub_1(U_6131,U_6132) )
| ~ l2_rlvect_1(U_6132)
| ~ v7_rlvect_1(U_6132)
| ~ v6_rlvect_1(U_6132)
| ~ v5_rlvect_1(U_6132)
| ~ v4_rlvect_1(U_6132)
| ~ v3_rlvect_1(U_6132)
| v3_struct_0(U_6132) ),
inference(variable_rename,[status(thm)],[f_2360_1]) ).
fof(f_2360_3,plain,
! [U_6132,U_6131] :
( k1_rlvect_1(U_6131) = k1_rlvect_1(U_6132)
| ~ m1_rlsub_1(U_6131,U_6132)
| ~ l2_rlvect_1(U_6132)
| ~ v7_rlvect_1(U_6132)
| ~ v6_rlvect_1(U_6132)
| ~ v5_rlvect_1(U_6132)
| ~ v4_rlvect_1(U_6132)
| ~ v3_rlvect_1(U_6132)
| v3_struct_0(U_6132) ),
inference(definitional_conversion,[status(esa)],[f_2360_2]) ).
cnf(f_2360_4,plain,
( k1_rlvect_1(U_6131) = k1_rlvect_1(U_6132)
| ~ m1_rlsub_1(U_6131,U_6132)
| ~ l2_rlvect_1(U_6132)
| ~ v7_rlvect_1(U_6132)
| ~ v6_rlvect_1(U_6132)
| ~ v5_rlvect_1(U_6132)
| ~ v4_rlvect_1(U_6132)
| ~ v3_rlvect_1(U_6132)
| v3_struct_0(U_6132) ),
inference(clausify,[status(thm)],[f_2360_3]) ).
fof(f_2361_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_rlvect_1(B) = k1_rlvect_1(C)
| ~ m1_rlsub_1(C,A) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_rlsub_1]) ).
fof(f_2361_2,plain,
! [U_6135] :
( ! [U_6134] :
( ! [U_6133] :
( k1_rlvect_1(U_6134) = k1_rlvect_1(U_6133)
| ~ m1_rlsub_1(U_6133,U_6135) )
| ~ m1_rlsub_1(U_6134,U_6135) )
| ~ l2_rlvect_1(U_6135)
| ~ v7_rlvect_1(U_6135)
| ~ v6_rlvect_1(U_6135)
| ~ v5_rlvect_1(U_6135)
| ~ v4_rlvect_1(U_6135)
| ~ v3_rlvect_1(U_6135)
| v3_struct_0(U_6135) ),
inference(variable_rename,[status(thm)],[f_2361_1]) ).
fof(f_2361_3,plain,
! [U_6135,U_6134,U_6133] :
( k1_rlvect_1(U_6134) = k1_rlvect_1(U_6133)
| ~ m1_rlsub_1(U_6133,U_6135)
| ~ m1_rlsub_1(U_6134,U_6135)
| ~ l2_rlvect_1(U_6135)
| ~ v7_rlvect_1(U_6135)
| ~ v6_rlvect_1(U_6135)
| ~ v5_rlvect_1(U_6135)
| ~ v4_rlvect_1(U_6135)
| ~ v3_rlvect_1(U_6135)
| v3_struct_0(U_6135) ),
inference(definitional_conversion,[status(esa)],[f_2361_2]) ).
cnf(f_2361_4,plain,
( k1_rlvect_1(U_6134) = k1_rlvect_1(U_6133)
| ~ m1_rlsub_1(U_6133,U_6135)
| ~ m1_rlsub_1(U_6134,U_6135)
| ~ l2_rlvect_1(U_6135)
| ~ v7_rlvect_1(U_6135)
| ~ v6_rlvect_1(U_6135)
| ~ v5_rlvect_1(U_6135)
| ~ v4_rlvect_1(U_6135)
| ~ v3_rlvect_1(U_6135)
| v3_struct_0(U_6135) ),
inference(clausify,[status(thm)],[f_2361_3]) ).
fof(f_2362_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k4_rlvect_1(D,E,F) = k4_rlvect_1(A,B,C)
| F != C
| E != B
| ~ m1_subset_1(F,u1_struct_0(D)) )
| ~ m1_subset_1(E,u1_struct_0(D)) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t21_rlsub_1]) ).
fof(f_2362_2,plain,
! [U_6141] :
( ! [U_6140] :
( ! [U_6139] :
( ! [U_6138] :
( ! [U_6137] :
( ! [U_6136] :
( k4_rlvect_1(U_6138,U_6137,U_6136) = k4_rlvect_1(U_6141,U_6140,U_6139)
| U_6136 != U_6139
| U_6137 != U_6140
| ~ m1_subset_1(U_6136,u1_struct_0(U_6138)) )
| ~ m1_subset_1(U_6137,u1_struct_0(U_6138)) )
| ~ m1_rlsub_1(U_6138,U_6141) )
| ~ m1_subset_1(U_6139,u1_struct_0(U_6141)) )
| ~ m1_subset_1(U_6140,u1_struct_0(U_6141)) )
| ~ l2_rlvect_1(U_6141)
| ~ v7_rlvect_1(U_6141)
| ~ v6_rlvect_1(U_6141)
| ~ v5_rlvect_1(U_6141)
| ~ v4_rlvect_1(U_6141)
| ~ v3_rlvect_1(U_6141)
| v3_struct_0(U_6141) ),
inference(variable_rename,[status(thm)],[f_2362_1]) ).
fof(f_2362_3,plain,
! [U_6137,U_6136,U_6139,U_6140,U_6141,U_6138] :
( k4_rlvect_1(U_6138,U_6137,U_6136) = k4_rlvect_1(U_6141,U_6140,U_6139)
| U_6136 != U_6139
| U_6137 != U_6140
| ~ m1_subset_1(U_6136,u1_struct_0(U_6138))
| ~ m1_subset_1(U_6137,u1_struct_0(U_6138))
| ~ m1_rlsub_1(U_6138,U_6141)
| ~ m1_subset_1(U_6139,u1_struct_0(U_6141))
| ~ m1_subset_1(U_6140,u1_struct_0(U_6141))
| ~ l2_rlvect_1(U_6141)
| ~ v7_rlvect_1(U_6141)
| ~ v6_rlvect_1(U_6141)
| ~ v5_rlvect_1(U_6141)
| ~ v4_rlvect_1(U_6141)
| ~ v3_rlvect_1(U_6141)
| v3_struct_0(U_6141) ),
inference(definitional_conversion,[status(esa)],[f_2362_2]) ).
cnf(f_2362_4,plain,
( k4_rlvect_1(U_6138,U_6137,U_6136) = k4_rlvect_1(U_6141,U_6140,U_6139)
| U_6136 != U_6139
| U_6137 != U_6140
| ~ m1_subset_1(U_6136,u1_struct_0(U_6138))
| ~ m1_subset_1(U_6137,u1_struct_0(U_6138))
| ~ m1_rlsub_1(U_6138,U_6141)
| ~ m1_subset_1(U_6139,u1_struct_0(U_6141))
| ~ m1_subset_1(U_6140,u1_struct_0(U_6141))
| ~ l2_rlvect_1(U_6141)
| ~ v7_rlvect_1(U_6141)
| ~ v6_rlvect_1(U_6141)
| ~ v5_rlvect_1(U_6141)
| ~ v4_rlvect_1(U_6141)
| ~ v3_rlvect_1(U_6141)
| v3_struct_0(U_6141) ),
inference(clausify,[status(thm)],[f_2362_3]) ).
fof(f_2363_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k3_rlvect_1(D,E,C) = k3_rlvect_1(A,B,C)
| E != B
| ~ m1_subset_1(E,u1_struct_0(D)) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_rlsub_1]) ).
fof(f_2363_2,plain,
! [U_6146] :
( ! [U_6145] :
( ! [U_6144] :
( ! [U_6143] :
( ! [U_6142] :
( k3_rlvect_1(U_6143,U_6142,U_6144) = k3_rlvect_1(U_6146,U_6145,U_6144)
| U_6142 != U_6145
| ~ m1_subset_1(U_6142,u1_struct_0(U_6143)) )
| ~ m1_rlsub_1(U_6143,U_6146) )
| ~ m1_subset_1(U_6144,k1_numbers) )
| ~ m1_subset_1(U_6145,u1_struct_0(U_6146)) )
| ~ l2_rlvect_1(U_6146)
| ~ v7_rlvect_1(U_6146)
| ~ v6_rlvect_1(U_6146)
| ~ v5_rlvect_1(U_6146)
| ~ v4_rlvect_1(U_6146)
| ~ v3_rlvect_1(U_6146)
| v3_struct_0(U_6146) ),
inference(variable_rename,[status(thm)],[f_2363_1]) ).
fof(f_2363_3,plain,
! [U_6146,U_6142,U_6143,U_6144,U_6145] :
( k3_rlvect_1(U_6143,U_6142,U_6144) = k3_rlvect_1(U_6146,U_6145,U_6144)
| U_6142 != U_6145
| ~ m1_subset_1(U_6142,u1_struct_0(U_6143))
| ~ m1_rlsub_1(U_6143,U_6146)
| ~ m1_subset_1(U_6144,k1_numbers)
| ~ m1_subset_1(U_6145,u1_struct_0(U_6146))
| ~ l2_rlvect_1(U_6146)
| ~ v7_rlvect_1(U_6146)
| ~ v6_rlvect_1(U_6146)
| ~ v5_rlvect_1(U_6146)
| ~ v4_rlvect_1(U_6146)
| ~ v3_rlvect_1(U_6146)
| v3_struct_0(U_6146) ),
inference(definitional_conversion,[status(esa)],[f_2363_2]) ).
cnf(f_2363_4,plain,
( k3_rlvect_1(U_6143,U_6142,U_6144) = k3_rlvect_1(U_6146,U_6145,U_6144)
| U_6142 != U_6145
| ~ m1_subset_1(U_6142,u1_struct_0(U_6143))
| ~ m1_rlsub_1(U_6143,U_6146)
| ~ m1_subset_1(U_6144,k1_numbers)
| ~ m1_subset_1(U_6145,u1_struct_0(U_6146))
| ~ l2_rlvect_1(U_6146)
| ~ v7_rlvect_1(U_6146)
| ~ v6_rlvect_1(U_6146)
| ~ v5_rlvect_1(U_6146)
| ~ v4_rlvect_1(U_6146)
| ~ v3_rlvect_1(U_6146)
| v3_struct_0(U_6146) ),
inference(clausify,[status(thm)],[f_2363_3]) ).
fof(f_2364_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rlvect_1(A,B) = k5_rlvect_1(C,D)
| D != B
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t23_rlsub_1]) ).
fof(f_2364_2,plain,
! [U_6150] :
( ! [U_6149] :
( ! [U_6148] :
( ! [U_6147] :
( k5_rlvect_1(U_6150,U_6149) = k5_rlvect_1(U_6148,U_6147)
| U_6147 != U_6149
| ~ m1_subset_1(U_6147,u1_struct_0(U_6148)) )
| ~ m1_rlsub_1(U_6148,U_6150) )
| ~ m1_subset_1(U_6149,u1_struct_0(U_6150)) )
| ~ l2_rlvect_1(U_6150)
| ~ v7_rlvect_1(U_6150)
| ~ v6_rlvect_1(U_6150)
| ~ v5_rlvect_1(U_6150)
| ~ v4_rlvect_1(U_6150)
| ~ v3_rlvect_1(U_6150)
| v3_struct_0(U_6150) ),
inference(variable_rename,[status(thm)],[f_2364_1]) ).
fof(f_2364_3,plain,
! [U_6149,U_6147,U_6150,U_6148] :
( k5_rlvect_1(U_6150,U_6149) = k5_rlvect_1(U_6148,U_6147)
| U_6147 != U_6149
| ~ m1_subset_1(U_6147,u1_struct_0(U_6148))
| ~ m1_rlsub_1(U_6148,U_6150)
| ~ m1_subset_1(U_6149,u1_struct_0(U_6150))
| ~ l2_rlvect_1(U_6150)
| ~ v7_rlvect_1(U_6150)
| ~ v6_rlvect_1(U_6150)
| ~ v5_rlvect_1(U_6150)
| ~ v4_rlvect_1(U_6150)
| ~ v3_rlvect_1(U_6150)
| v3_struct_0(U_6150) ),
inference(definitional_conversion,[status(esa)],[f_2364_2]) ).
cnf(f_2364_4,plain,
( k5_rlvect_1(U_6150,U_6149) = k5_rlvect_1(U_6148,U_6147)
| U_6147 != U_6149
| ~ m1_subset_1(U_6147,u1_struct_0(U_6148))
| ~ m1_rlsub_1(U_6148,U_6150)
| ~ m1_subset_1(U_6149,u1_struct_0(U_6150))
| ~ l2_rlvect_1(U_6150)
| ~ v7_rlvect_1(U_6150)
| ~ v6_rlvect_1(U_6150)
| ~ v5_rlvect_1(U_6150)
| ~ v4_rlvect_1(U_6150)
| ~ v3_rlvect_1(U_6150)
| v3_struct_0(U_6150) ),
inference(clausify,[status(thm)],[f_2364_3]) ).
fof(f_2365_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k6_rlvect_1(D,E,F) = k6_rlvect_1(A,B,C)
| F != C
| E != B
| ~ m1_subset_1(F,u1_struct_0(D)) )
| ~ m1_subset_1(E,u1_struct_0(D)) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t24_rlsub_1]) ).
fof(f_2365_2,plain,
! [U_6156] :
( ! [U_6155] :
( ! [U_6154] :
( ! [U_6153] :
( ! [U_6152] :
( ! [U_6151] :
( k6_rlvect_1(U_6153,U_6152,U_6151) = k6_rlvect_1(U_6156,U_6155,U_6154)
| U_6151 != U_6154
| U_6152 != U_6155
| ~ m1_subset_1(U_6151,u1_struct_0(U_6153)) )
| ~ m1_subset_1(U_6152,u1_struct_0(U_6153)) )
| ~ m1_rlsub_1(U_6153,U_6156) )
| ~ m1_subset_1(U_6154,u1_struct_0(U_6156)) )
| ~ m1_subset_1(U_6155,u1_struct_0(U_6156)) )
| ~ l2_rlvect_1(U_6156)
| ~ v7_rlvect_1(U_6156)
| ~ v6_rlvect_1(U_6156)
| ~ v5_rlvect_1(U_6156)
| ~ v4_rlvect_1(U_6156)
| ~ v3_rlvect_1(U_6156)
| v3_struct_0(U_6156) ),
inference(variable_rename,[status(thm)],[f_2365_1]) ).
fof(f_2365_3,plain,
! [U_6155,U_6154,U_6156,U_6152,U_6153,U_6151] :
( k6_rlvect_1(U_6153,U_6152,U_6151) = k6_rlvect_1(U_6156,U_6155,U_6154)
| U_6151 != U_6154
| U_6152 != U_6155
| ~ m1_subset_1(U_6151,u1_struct_0(U_6153))
| ~ m1_subset_1(U_6152,u1_struct_0(U_6153))
| ~ m1_rlsub_1(U_6153,U_6156)
| ~ m1_subset_1(U_6154,u1_struct_0(U_6156))
| ~ m1_subset_1(U_6155,u1_struct_0(U_6156))
| ~ l2_rlvect_1(U_6156)
| ~ v7_rlvect_1(U_6156)
| ~ v6_rlvect_1(U_6156)
| ~ v5_rlvect_1(U_6156)
| ~ v4_rlvect_1(U_6156)
| ~ v3_rlvect_1(U_6156)
| v3_struct_0(U_6156) ),
inference(definitional_conversion,[status(esa)],[f_2365_2]) ).
cnf(f_2365_4,plain,
( k6_rlvect_1(U_6153,U_6152,U_6151) = k6_rlvect_1(U_6156,U_6155,U_6154)
| U_6151 != U_6154
| U_6152 != U_6155
| ~ m1_subset_1(U_6151,u1_struct_0(U_6153))
| ~ m1_subset_1(U_6152,u1_struct_0(U_6153))
| ~ m1_rlsub_1(U_6153,U_6156)
| ~ m1_subset_1(U_6154,u1_struct_0(U_6156))
| ~ m1_subset_1(U_6155,u1_struct_0(U_6156))
| ~ l2_rlvect_1(U_6156)
| ~ v7_rlvect_1(U_6156)
| ~ v6_rlvect_1(U_6156)
| ~ v5_rlvect_1(U_6156)
| ~ v4_rlvect_1(U_6156)
| ~ v3_rlvect_1(U_6156)
| v3_struct_0(U_6156) ),
inference(clausify,[status(thm)],[f_2365_3]) ).
fof(f_2366_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_1(B,k1_rlvect_1(A))
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_rlsub_1]) ).
fof(f_2366_2,plain,
! [U_6158] :
( ! [U_6157] :
( r1_rlvect_1(U_6157,k1_rlvect_1(U_6158))
| ~ m1_rlsub_1(U_6157,U_6158) )
| ~ l2_rlvect_1(U_6158)
| ~ v7_rlvect_1(U_6158)
| ~ v6_rlvect_1(U_6158)
| ~ v5_rlvect_1(U_6158)
| ~ v4_rlvect_1(U_6158)
| ~ v3_rlvect_1(U_6158)
| v3_struct_0(U_6158) ),
inference(variable_rename,[status(thm)],[f_2366_1]) ).
fof(f_2366_3,plain,
! [U_6157,U_6158] :
( r1_rlvect_1(U_6157,k1_rlvect_1(U_6158))
| ~ m1_rlsub_1(U_6157,U_6158)
| ~ l2_rlvect_1(U_6158)
| ~ v7_rlvect_1(U_6158)
| ~ v6_rlvect_1(U_6158)
| ~ v5_rlvect_1(U_6158)
| ~ v4_rlvect_1(U_6158)
| ~ v3_rlvect_1(U_6158)
| v3_struct_0(U_6158) ),
inference(definitional_conversion,[status(esa)],[f_2366_2]) ).
cnf(f_2366_4,plain,
( r1_rlvect_1(U_6157,k1_rlvect_1(U_6158))
| ~ m1_rlsub_1(U_6157,U_6158)
| ~ l2_rlvect_1(U_6158)
| ~ v7_rlvect_1(U_6158)
| ~ v6_rlvect_1(U_6158)
| ~ v5_rlvect_1(U_6158)
| ~ v4_rlvect_1(U_6158)
| ~ v3_rlvect_1(U_6158)
| v3_struct_0(U_6158) ),
inference(clausify,[status(thm)],[f_2366_3]) ).
fof(f_2367_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_1(C,k1_rlvect_1(B))
| ~ m1_rlsub_1(C,A) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t26_rlsub_1]) ).
fof(f_2367_2,plain,
! [U_6161] :
( ! [U_6160] :
( ! [U_6159] :
( r1_rlvect_1(U_6159,k1_rlvect_1(U_6160))
| ~ m1_rlsub_1(U_6159,U_6161) )
| ~ m1_rlsub_1(U_6160,U_6161) )
| ~ l2_rlvect_1(U_6161)
| ~ v7_rlvect_1(U_6161)
| ~ v6_rlvect_1(U_6161)
| ~ v5_rlvect_1(U_6161)
| ~ v4_rlvect_1(U_6161)
| ~ v3_rlvect_1(U_6161)
| v3_struct_0(U_6161) ),
inference(variable_rename,[status(thm)],[f_2367_1]) ).
fof(f_2367_3,plain,
! [U_6161,U_6160,U_6159] :
( r1_rlvect_1(U_6159,k1_rlvect_1(U_6160))
| ~ m1_rlsub_1(U_6159,U_6161)
| ~ m1_rlsub_1(U_6160,U_6161)
| ~ l2_rlvect_1(U_6161)
| ~ v7_rlvect_1(U_6161)
| ~ v6_rlvect_1(U_6161)
| ~ v5_rlvect_1(U_6161)
| ~ v4_rlvect_1(U_6161)
| ~ v3_rlvect_1(U_6161)
| v3_struct_0(U_6161) ),
inference(definitional_conversion,[status(esa)],[f_2367_2]) ).
cnf(f_2367_4,plain,
( r1_rlvect_1(U_6159,k1_rlvect_1(U_6160))
| ~ m1_rlsub_1(U_6159,U_6161)
| ~ m1_rlsub_1(U_6160,U_6161)
| ~ l2_rlvect_1(U_6161)
| ~ v7_rlvect_1(U_6161)
| ~ v6_rlvect_1(U_6161)
| ~ v5_rlvect_1(U_6161)
| ~ v4_rlvect_1(U_6161)
| ~ v3_rlvect_1(U_6161)
| v3_struct_0(U_6161) ),
inference(clausify,[status(thm)],[f_2367_3]) ).
fof(f_2368_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_1(A,k1_rlvect_1(B))
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t27_rlsub_1]) ).
fof(f_2368_2,plain,
! [U_6163] :
( ! [U_6162] :
( r1_rlvect_1(U_6163,k1_rlvect_1(U_6162))
| ~ m1_rlsub_1(U_6162,U_6163) )
| ~ l2_rlvect_1(U_6163)
| ~ v7_rlvect_1(U_6163)
| ~ v6_rlvect_1(U_6163)
| ~ v5_rlvect_1(U_6163)
| ~ v4_rlvect_1(U_6163)
| ~ v3_rlvect_1(U_6163)
| v3_struct_0(U_6163) ),
inference(variable_rename,[status(thm)],[f_2368_1]) ).
fof(f_2368_3,plain,
! [U_6162,U_6163] :
( r1_rlvect_1(U_6163,k1_rlvect_1(U_6162))
| ~ m1_rlsub_1(U_6162,U_6163)
| ~ l2_rlvect_1(U_6163)
| ~ v7_rlvect_1(U_6163)
| ~ v6_rlvect_1(U_6163)
| ~ v5_rlvect_1(U_6163)
| ~ v4_rlvect_1(U_6163)
| ~ v3_rlvect_1(U_6163)
| v3_struct_0(U_6163) ),
inference(definitional_conversion,[status(esa)],[f_2368_2]) ).
cnf(f_2368_4,plain,
( r1_rlvect_1(U_6163,k1_rlvect_1(U_6162))
| ~ m1_rlsub_1(U_6162,U_6163)
| ~ l2_rlvect_1(U_6163)
| ~ v7_rlvect_1(U_6163)
| ~ v6_rlvect_1(U_6163)
| ~ v5_rlvect_1(U_6163)
| ~ v4_rlvect_1(U_6163)
| ~ v3_rlvect_1(U_6163)
| v3_struct_0(U_6163) ),
inference(clausify,[status(thm)],[f_2368_3]) ).
fof(f_2369_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k4_rlvect_1(A,B,C))
| ~ r1_rlvect_1(D,C)
| ~ r1_rlvect_1(D,B)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_rlsub_1]) ).
fof(f_2369_2,plain,
! [U_6167] :
( ! [U_6166] :
( ! [U_6165] :
( ! [U_6164] :
( r1_rlvect_1(U_6164,k4_rlvect_1(U_6167,U_6166,U_6165))
| ~ r1_rlvect_1(U_6164,U_6165)
| ~ r1_rlvect_1(U_6164,U_6166)
| ~ m1_rlsub_1(U_6164,U_6167) )
| ~ m1_subset_1(U_6165,u1_struct_0(U_6167)) )
| ~ m1_subset_1(U_6166,u1_struct_0(U_6167)) )
| ~ l2_rlvect_1(U_6167)
| ~ v7_rlvect_1(U_6167)
| ~ v6_rlvect_1(U_6167)
| ~ v5_rlvect_1(U_6167)
| ~ v4_rlvect_1(U_6167)
| ~ v3_rlvect_1(U_6167)
| v3_struct_0(U_6167) ),
inference(variable_rename,[status(thm)],[f_2369_1]) ).
fof(f_2369_3,plain,
! [U_6165,U_6166,U_6164,U_6167] :
( r1_rlvect_1(U_6164,k4_rlvect_1(U_6167,U_6166,U_6165))
| ~ r1_rlvect_1(U_6164,U_6165)
| ~ r1_rlvect_1(U_6164,U_6166)
| ~ m1_rlsub_1(U_6164,U_6167)
| ~ m1_subset_1(U_6165,u1_struct_0(U_6167))
| ~ m1_subset_1(U_6166,u1_struct_0(U_6167))
| ~ l2_rlvect_1(U_6167)
| ~ v7_rlvect_1(U_6167)
| ~ v6_rlvect_1(U_6167)
| ~ v5_rlvect_1(U_6167)
| ~ v4_rlvect_1(U_6167)
| ~ v3_rlvect_1(U_6167)
| v3_struct_0(U_6167) ),
inference(definitional_conversion,[status(esa)],[f_2369_2]) ).
cnf(f_2369_4,plain,
( r1_rlvect_1(U_6164,k4_rlvect_1(U_6167,U_6166,U_6165))
| ~ r1_rlvect_1(U_6164,U_6165)
| ~ r1_rlvect_1(U_6164,U_6166)
| ~ m1_rlsub_1(U_6164,U_6167)
| ~ m1_subset_1(U_6165,u1_struct_0(U_6167))
| ~ m1_subset_1(U_6166,u1_struct_0(U_6167))
| ~ l2_rlvect_1(U_6167)
| ~ v7_rlvect_1(U_6167)
| ~ v6_rlvect_1(U_6167)
| ~ v5_rlvect_1(U_6167)
| ~ v4_rlvect_1(U_6167)
| ~ v3_rlvect_1(U_6167)
| v3_struct_0(U_6167) ),
inference(clausify,[status(thm)],[f_2369_3]) ).
fof(f_2370_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k3_rlvect_1(A,B,C))
| ~ r1_rlvect_1(D,B)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t29_rlsub_1]) ).
fof(f_2370_2,plain,
! [U_6171] :
( ! [U_6170] :
( ! [U_6169] :
( ! [U_6168] :
( r1_rlvect_1(U_6168,k3_rlvect_1(U_6171,U_6170,U_6169))
| ~ r1_rlvect_1(U_6168,U_6170)
| ~ m1_rlsub_1(U_6168,U_6171) )
| ~ m1_subset_1(U_6169,k1_numbers) )
| ~ m1_subset_1(U_6170,u1_struct_0(U_6171)) )
| ~ l2_rlvect_1(U_6171)
| ~ v7_rlvect_1(U_6171)
| ~ v6_rlvect_1(U_6171)
| ~ v5_rlvect_1(U_6171)
| ~ v4_rlvect_1(U_6171)
| ~ v3_rlvect_1(U_6171)
| v3_struct_0(U_6171) ),
inference(variable_rename,[status(thm)],[f_2370_1]) ).
fof(f_2370_3,plain,
! [U_6171,U_6169,U_6170,U_6168] :
( r1_rlvect_1(U_6168,k3_rlvect_1(U_6171,U_6170,U_6169))
| ~ r1_rlvect_1(U_6168,U_6170)
| ~ m1_rlsub_1(U_6168,U_6171)
| ~ m1_subset_1(U_6169,k1_numbers)
| ~ m1_subset_1(U_6170,u1_struct_0(U_6171))
| ~ l2_rlvect_1(U_6171)
| ~ v7_rlvect_1(U_6171)
| ~ v6_rlvect_1(U_6171)
| ~ v5_rlvect_1(U_6171)
| ~ v4_rlvect_1(U_6171)
| ~ v3_rlvect_1(U_6171)
| v3_struct_0(U_6171) ),
inference(definitional_conversion,[status(esa)],[f_2370_2]) ).
cnf(f_2370_4,plain,
( r1_rlvect_1(U_6168,k3_rlvect_1(U_6171,U_6170,U_6169))
| ~ r1_rlvect_1(U_6168,U_6170)
| ~ m1_rlsub_1(U_6168,U_6171)
| ~ m1_subset_1(U_6169,k1_numbers)
| ~ m1_subset_1(U_6170,u1_struct_0(U_6171))
| ~ l2_rlvect_1(U_6171)
| ~ v7_rlvect_1(U_6171)
| ~ v6_rlvect_1(U_6171)
| ~ v5_rlvect_1(U_6171)
| ~ v4_rlvect_1(U_6171)
| ~ v3_rlvect_1(U_6171)
| v3_struct_0(U_6171) ),
inference(clausify,[status(thm)],[f_2370_3]) ).
fof(f_2371_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_1(C,k5_rlvect_1(A,B))
| ~ r1_rlvect_1(C,B)
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t30_rlsub_1]) ).
fof(f_2371_2,plain,
! [U_6174] :
( ! [U_6173] :
( ! [U_6172] :
( r1_rlvect_1(U_6172,k5_rlvect_1(U_6174,U_6173))
| ~ r1_rlvect_1(U_6172,U_6173)
| ~ m1_rlsub_1(U_6172,U_6174) )
| ~ m1_subset_1(U_6173,u1_struct_0(U_6174)) )
| ~ l2_rlvect_1(U_6174)
| ~ v7_rlvect_1(U_6174)
| ~ v6_rlvect_1(U_6174)
| ~ v5_rlvect_1(U_6174)
| ~ v4_rlvect_1(U_6174)
| ~ v3_rlvect_1(U_6174)
| v3_struct_0(U_6174) ),
inference(variable_rename,[status(thm)],[f_2371_1]) ).
fof(f_2371_3,plain,
! [U_6174,U_6173,U_6172] :
( r1_rlvect_1(U_6172,k5_rlvect_1(U_6174,U_6173))
| ~ r1_rlvect_1(U_6172,U_6173)
| ~ m1_rlsub_1(U_6172,U_6174)
| ~ m1_subset_1(U_6173,u1_struct_0(U_6174))
| ~ l2_rlvect_1(U_6174)
| ~ v7_rlvect_1(U_6174)
| ~ v6_rlvect_1(U_6174)
| ~ v5_rlvect_1(U_6174)
| ~ v4_rlvect_1(U_6174)
| ~ v3_rlvect_1(U_6174)
| v3_struct_0(U_6174) ),
inference(definitional_conversion,[status(esa)],[f_2371_2]) ).
cnf(f_2371_4,plain,
( r1_rlvect_1(U_6172,k5_rlvect_1(U_6174,U_6173))
| ~ r1_rlvect_1(U_6172,U_6173)
| ~ m1_rlsub_1(U_6172,U_6174)
| ~ m1_subset_1(U_6173,u1_struct_0(U_6174))
| ~ l2_rlvect_1(U_6174)
| ~ v7_rlvect_1(U_6174)
| ~ v6_rlvect_1(U_6174)
| ~ v5_rlvect_1(U_6174)
| ~ v4_rlvect_1(U_6174)
| ~ v3_rlvect_1(U_6174)
| v3_struct_0(U_6174) ),
inference(clausify,[status(thm)],[f_2371_3]) ).
fof(f_2372_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k6_rlvect_1(A,B,C))
| ~ r1_rlvect_1(D,C)
| ~ r1_rlvect_1(D,B)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t31_rlsub_1]) ).
fof(f_2372_2,plain,
! [U_6178] :
( ! [U_6177] :
( ! [U_6176] :
( ! [U_6175] :
( r1_rlvect_1(U_6175,k6_rlvect_1(U_6178,U_6177,U_6176))
| ~ r1_rlvect_1(U_6175,U_6176)
| ~ r1_rlvect_1(U_6175,U_6177)
| ~ m1_rlsub_1(U_6175,U_6178) )
| ~ m1_subset_1(U_6176,u1_struct_0(U_6178)) )
| ~ m1_subset_1(U_6177,u1_struct_0(U_6178)) )
| ~ l2_rlvect_1(U_6178)
| ~ v7_rlvect_1(U_6178)
| ~ v6_rlvect_1(U_6178)
| ~ v5_rlvect_1(U_6178)
| ~ v4_rlvect_1(U_6178)
| ~ v3_rlvect_1(U_6178)
| v3_struct_0(U_6178) ),
inference(variable_rename,[status(thm)],[f_2372_1]) ).
fof(f_2372_3,plain,
! [U_6178,U_6176,U_6175,U_6177] :
( r1_rlvect_1(U_6175,k6_rlvect_1(U_6178,U_6177,U_6176))
| ~ r1_rlvect_1(U_6175,U_6176)
| ~ r1_rlvect_1(U_6175,U_6177)
| ~ m1_rlsub_1(U_6175,U_6178)
| ~ m1_subset_1(U_6176,u1_struct_0(U_6178))
| ~ m1_subset_1(U_6177,u1_struct_0(U_6178))
| ~ l2_rlvect_1(U_6178)
| ~ v7_rlvect_1(U_6178)
| ~ v6_rlvect_1(U_6178)
| ~ v5_rlvect_1(U_6178)
| ~ v4_rlvect_1(U_6178)
| ~ v3_rlvect_1(U_6178)
| v3_struct_0(U_6178) ),
inference(definitional_conversion,[status(esa)],[f_2372_2]) ).
cnf(f_2372_4,plain,
( r1_rlvect_1(U_6175,k6_rlvect_1(U_6178,U_6177,U_6176))
| ~ r1_rlvect_1(U_6175,U_6176)
| ~ r1_rlvect_1(U_6175,U_6177)
| ~ m1_rlsub_1(U_6175,U_6178)
| ~ m1_subset_1(U_6176,u1_struct_0(U_6178))
| ~ m1_subset_1(U_6177,u1_struct_0(U_6178))
| ~ l2_rlvect_1(U_6178)
| ~ v7_rlvect_1(U_6178)
| ~ v6_rlvect_1(U_6178)
| ~ v5_rlvect_1(U_6178)
| ~ v4_rlvect_1(U_6178)
| ~ v3_rlvect_1(U_6178)
| v3_struct_0(U_6178) ),
inference(clausify,[status(thm)],[f_2372_3]) ).
fof(f_2373_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( m1_rlsub_1(g2_rlvect_1(C,D,E,F),A)
| F != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,B))
| E != k1_realset1(u1_rlvect_1(A),B)
| D != k1_rlvect_1(A)
| B != C
| ~ m2_relset_1(F,k2_zfmisc_1(k1_numbers,C),C)
| ~ v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C)
| ~ v1_funct_1(F) )
| ~ m2_relset_1(E,k2_zfmisc_1(C,C),C)
| ~ v1_funct_2(E,k2_zfmisc_1(C,C),C)
| ~ v1_funct_1(E) )
| ~ m1_subset_1(D,C) )
| v1_xboole_0(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t32_rlsub_1]) ).
fof(f_2373_2,plain,
! [U_6184] :
( ! [U_6183] :
( ! [U_6182] :
( ! [U_6181] :
( ! [U_6180] :
( ! [U_6179] :
( m1_rlsub_1(g2_rlvect_1(U_6182,U_6181,U_6180,U_6179),U_6184)
| U_6179 != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6184)),u1_struct_0(U_6184),u2_rlvect_1(U_6184),k2_zfmisc_1(k1_numbers,U_6183))
| U_6180 != k1_realset1(u1_rlvect_1(U_6184),U_6183)
| U_6181 != k1_rlvect_1(U_6184)
| U_6183 != U_6182
| ~ m2_relset_1(U_6179,k2_zfmisc_1(k1_numbers,U_6182),U_6182)
| ~ v1_funct_2(U_6179,k2_zfmisc_1(k1_numbers,U_6182),U_6182)
| ~ v1_funct_1(U_6179) )
| ~ m2_relset_1(U_6180,k2_zfmisc_1(U_6182,U_6182),U_6182)
| ~ v1_funct_2(U_6180,k2_zfmisc_1(U_6182,U_6182),U_6182)
| ~ v1_funct_1(U_6180) )
| ~ m1_subset_1(U_6181,U_6182) )
| v1_xboole_0(U_6182) )
| ~ m1_subset_1(U_6183,k1_zfmisc_1(u1_struct_0(U_6184))) )
| ~ l2_rlvect_1(U_6184)
| ~ v7_rlvect_1(U_6184)
| ~ v6_rlvect_1(U_6184)
| ~ v5_rlvect_1(U_6184)
| ~ v4_rlvect_1(U_6184)
| ~ v3_rlvect_1(U_6184)
| v3_struct_0(U_6184) ),
inference(variable_rename,[status(thm)],[f_2373_1]) ).
fof(f_2373_3,plain,
! [U_6183,U_6180,U_6182,U_6184,U_6181,U_6179] :
( m1_rlsub_1(g2_rlvect_1(U_6182,U_6181,U_6180,U_6179),U_6184)
| U_6179 != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6184)),u1_struct_0(U_6184),u2_rlvect_1(U_6184),k2_zfmisc_1(k1_numbers,U_6183))
| U_6180 != k1_realset1(u1_rlvect_1(U_6184),U_6183)
| U_6181 != k1_rlvect_1(U_6184)
| U_6183 != U_6182
| ~ m2_relset_1(U_6179,k2_zfmisc_1(k1_numbers,U_6182),U_6182)
| ~ v1_funct_2(U_6179,k2_zfmisc_1(k1_numbers,U_6182),U_6182)
| ~ v1_funct_1(U_6179)
| ~ m2_relset_1(U_6180,k2_zfmisc_1(U_6182,U_6182),U_6182)
| ~ v1_funct_2(U_6180,k2_zfmisc_1(U_6182,U_6182),U_6182)
| ~ v1_funct_1(U_6180)
| ~ m1_subset_1(U_6181,U_6182)
| v1_xboole_0(U_6182)
| ~ m1_subset_1(U_6183,k1_zfmisc_1(u1_struct_0(U_6184)))
| ~ l2_rlvect_1(U_6184)
| ~ v7_rlvect_1(U_6184)
| ~ v6_rlvect_1(U_6184)
| ~ v5_rlvect_1(U_6184)
| ~ v4_rlvect_1(U_6184)
| ~ v3_rlvect_1(U_6184)
| v3_struct_0(U_6184) ),
inference(definitional_conversion,[status(esa)],[f_2373_2]) ).
cnf(f_2373_4,plain,
( m1_rlsub_1(g2_rlvect_1(U_6182,U_6181,U_6180,U_6179),U_6184)
| U_6179 != k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(U_6184)),u1_struct_0(U_6184),u2_rlvect_1(U_6184),k2_zfmisc_1(k1_numbers,U_6183))
| U_6180 != k1_realset1(u1_rlvect_1(U_6184),U_6183)
| U_6181 != k1_rlvect_1(U_6184)
| U_6183 != U_6182
| ~ m2_relset_1(U_6179,k2_zfmisc_1(k1_numbers,U_6182),U_6182)
| ~ v1_funct_2(U_6179,k2_zfmisc_1(k1_numbers,U_6182),U_6182)
| ~ v1_funct_1(U_6179)
| ~ m2_relset_1(U_6180,k2_zfmisc_1(U_6182,U_6182),U_6182)
| ~ v1_funct_2(U_6180,k2_zfmisc_1(U_6182,U_6182),U_6182)
| ~ v1_funct_1(U_6180)
| ~ m1_subset_1(U_6181,U_6182)
| v1_xboole_0(U_6182)
| ~ m1_subset_1(U_6183,k1_zfmisc_1(u1_struct_0(U_6184)))
| ~ l2_rlvect_1(U_6184)
| ~ v7_rlvect_1(U_6184)
| ~ v6_rlvect_1(U_6184)
| ~ v5_rlvect_1(U_6184)
| ~ v4_rlvect_1(U_6184)
| ~ v3_rlvect_1(U_6184)
| v3_struct_0(U_6184) ),
inference(clausify,[status(thm)],[f_2373_3]) ).
fof(f_2374_1,plain,
! [A] :
( m1_rlsub_1(A,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_rlsub_1]) ).
fof(f_2374_2,plain,
! [U_6185] :
( m1_rlsub_1(U_6185,U_6185)
| ~ l2_rlvect_1(U_6185)
| ~ v7_rlvect_1(U_6185)
| ~ v6_rlvect_1(U_6185)
| ~ v5_rlvect_1(U_6185)
| ~ v4_rlvect_1(U_6185)
| ~ v3_rlvect_1(U_6185)
| v3_struct_0(U_6185) ),
inference(variable_rename,[status(thm)],[f_2374_1]) ).
fof(f_2374_3,plain,
! [U_6185] :
( m1_rlsub_1(U_6185,U_6185)
| ~ l2_rlvect_1(U_6185)
| ~ v7_rlvect_1(U_6185)
| ~ v6_rlvect_1(U_6185)
| ~ v5_rlvect_1(U_6185)
| ~ v4_rlvect_1(U_6185)
| ~ v3_rlvect_1(U_6185)
| v3_struct_0(U_6185) ),
inference(definitional_conversion,[status(esa)],[f_2374_2]) ).
cnf(f_2374_4,plain,
( m1_rlsub_1(U_6185,U_6185)
| ~ l2_rlvect_1(U_6185)
| ~ v7_rlvect_1(U_6185)
| ~ v6_rlvect_1(U_6185)
| ~ v5_rlvect_1(U_6185)
| ~ v4_rlvect_1(U_6185)
| ~ v3_rlvect_1(U_6185)
| v3_struct_0(U_6185) ),
inference(clausify,[status(thm)],[f_2374_3]) ).
fof(f_2375_1,plain,
! [A] :
( ! [B] :
( A = B
| ~ m1_rlsub_1(B,A)
| ~ m1_rlsub_1(A,B)
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| ~ v2_rlvect_1(B)
| v3_struct_0(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| ~ v2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_rlsub_1]) ).
fof(f_2375_2,plain,
! [U_6187] :
( ! [U_6186] :
( U_6187 = U_6186
| ~ m1_rlsub_1(U_6186,U_6187)
| ~ m1_rlsub_1(U_6187,U_6186)
| ~ l2_rlvect_1(U_6186)
| ~ v7_rlvect_1(U_6186)
| ~ v6_rlvect_1(U_6186)
| ~ v5_rlvect_1(U_6186)
| ~ v4_rlvect_1(U_6186)
| ~ v3_rlvect_1(U_6186)
| ~ v2_rlvect_1(U_6186)
| v3_struct_0(U_6186) )
| ~ l2_rlvect_1(U_6187)
| ~ v7_rlvect_1(U_6187)
| ~ v6_rlvect_1(U_6187)
| ~ v5_rlvect_1(U_6187)
| ~ v4_rlvect_1(U_6187)
| ~ v3_rlvect_1(U_6187)
| ~ v2_rlvect_1(U_6187)
| v3_struct_0(U_6187) ),
inference(variable_rename,[status(thm)],[f_2375_1]) ).
fof(f_2375_3,plain,
! [U_6186,U_6187] :
( U_6187 = U_6186
| ~ m1_rlsub_1(U_6186,U_6187)
| ~ m1_rlsub_1(U_6187,U_6186)
| ~ l2_rlvect_1(U_6186)
| ~ v7_rlvect_1(U_6186)
| ~ v6_rlvect_1(U_6186)
| ~ v5_rlvect_1(U_6186)
| ~ v4_rlvect_1(U_6186)
| ~ v3_rlvect_1(U_6186)
| ~ v2_rlvect_1(U_6186)
| v3_struct_0(U_6186)
| ~ l2_rlvect_1(U_6187)
| ~ v7_rlvect_1(U_6187)
| ~ v6_rlvect_1(U_6187)
| ~ v5_rlvect_1(U_6187)
| ~ v4_rlvect_1(U_6187)
| ~ v3_rlvect_1(U_6187)
| ~ v2_rlvect_1(U_6187)
| v3_struct_0(U_6187) ),
inference(definitional_conversion,[status(esa)],[f_2375_2]) ).
cnf(f_2375_4,plain,
( U_6187 = U_6186
| ~ m1_rlsub_1(U_6186,U_6187)
| ~ m1_rlsub_1(U_6187,U_6186)
| ~ l2_rlvect_1(U_6186)
| ~ v7_rlvect_1(U_6186)
| ~ v6_rlvect_1(U_6186)
| ~ v5_rlvect_1(U_6186)
| ~ v4_rlvect_1(U_6186)
| ~ v3_rlvect_1(U_6186)
| ~ v2_rlvect_1(U_6186)
| v3_struct_0(U_6186)
| ~ l2_rlvect_1(U_6187)
| ~ v7_rlvect_1(U_6187)
| ~ v6_rlvect_1(U_6187)
| ~ v5_rlvect_1(U_6187)
| ~ v4_rlvect_1(U_6187)
| ~ v3_rlvect_1(U_6187)
| ~ v2_rlvect_1(U_6187)
| v3_struct_0(U_6187) ),
inference(clausify,[status(thm)],[f_2375_3]) ).
fof(f_2376_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_rlsub_1(A,C)
| ~ m1_rlsub_1(B,C)
| ~ m1_rlsub_1(A,B)
| ~ l2_rlvect_1(C)
| ~ v7_rlvect_1(C)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_rlsub_1]) ).
fof(f_2376_2,plain,
! [U_6190] :
( ! [U_6189] :
( ! [U_6188] :
( m1_rlsub_1(U_6190,U_6188)
| ~ m1_rlsub_1(U_6189,U_6188)
| ~ m1_rlsub_1(U_6190,U_6189)
| ~ l2_rlvect_1(U_6188)
| ~ v7_rlvect_1(U_6188)
| ~ v6_rlvect_1(U_6188)
| ~ v5_rlvect_1(U_6188)
| ~ v4_rlvect_1(U_6188)
| ~ v3_rlvect_1(U_6188)
| v3_struct_0(U_6188) )
| ~ l2_rlvect_1(U_6189)
| ~ v7_rlvect_1(U_6189)
| ~ v6_rlvect_1(U_6189)
| ~ v5_rlvect_1(U_6189)
| ~ v4_rlvect_1(U_6189)
| ~ v3_rlvect_1(U_6189)
| v3_struct_0(U_6189) )
| ~ l2_rlvect_1(U_6190)
| ~ v7_rlvect_1(U_6190)
| ~ v6_rlvect_1(U_6190)
| ~ v5_rlvect_1(U_6190)
| ~ v4_rlvect_1(U_6190)
| ~ v3_rlvect_1(U_6190)
| v3_struct_0(U_6190) ),
inference(variable_rename,[status(thm)],[f_2376_1]) ).
fof(f_2376_3,plain,
! [U_6190,U_6189,U_6188] :
( m1_rlsub_1(U_6190,U_6188)
| ~ m1_rlsub_1(U_6189,U_6188)
| ~ m1_rlsub_1(U_6190,U_6189)
| ~ l2_rlvect_1(U_6188)
| ~ v7_rlvect_1(U_6188)
| ~ v6_rlvect_1(U_6188)
| ~ v5_rlvect_1(U_6188)
| ~ v4_rlvect_1(U_6188)
| ~ v3_rlvect_1(U_6188)
| v3_struct_0(U_6188)
| ~ l2_rlvect_1(U_6189)
| ~ v7_rlvect_1(U_6189)
| ~ v6_rlvect_1(U_6189)
| ~ v5_rlvect_1(U_6189)
| ~ v4_rlvect_1(U_6189)
| ~ v3_rlvect_1(U_6189)
| v3_struct_0(U_6189)
| ~ l2_rlvect_1(U_6190)
| ~ v7_rlvect_1(U_6190)
| ~ v6_rlvect_1(U_6190)
| ~ v5_rlvect_1(U_6190)
| ~ v4_rlvect_1(U_6190)
| ~ v3_rlvect_1(U_6190)
| v3_struct_0(U_6190) ),
inference(definitional_conversion,[status(esa)],[f_2376_2]) ).
cnf(f_2376_4,plain,
( m1_rlsub_1(U_6190,U_6188)
| ~ m1_rlsub_1(U_6189,U_6188)
| ~ m1_rlsub_1(U_6190,U_6189)
| ~ l2_rlvect_1(U_6188)
| ~ v7_rlvect_1(U_6188)
| ~ v6_rlvect_1(U_6188)
| ~ v5_rlvect_1(U_6188)
| ~ v4_rlvect_1(U_6188)
| ~ v3_rlvect_1(U_6188)
| v3_struct_0(U_6188)
| ~ l2_rlvect_1(U_6189)
| ~ v7_rlvect_1(U_6189)
| ~ v6_rlvect_1(U_6189)
| ~ v5_rlvect_1(U_6189)
| ~ v4_rlvect_1(U_6189)
| ~ v3_rlvect_1(U_6189)
| v3_struct_0(U_6189)
| ~ l2_rlvect_1(U_6190)
| ~ v7_rlvect_1(U_6190)
| ~ v6_rlvect_1(U_6190)
| ~ v5_rlvect_1(U_6190)
| ~ v4_rlvect_1(U_6190)
| ~ v3_rlvect_1(U_6190)
| v3_struct_0(U_6190) ),
inference(clausify,[status(thm)],[f_2376_3]) ).
fof(f_2377_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_rlsub_1(B,C)
| ~ r1_tarski(u1_struct_0(B),u1_struct_0(C))
| ~ m1_rlsub_1(C,A) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_rlsub_1]) ).
fof(f_2377_2,plain,
! [U_6193] :
( ! [U_6192] :
( ! [U_6191] :
( m1_rlsub_1(U_6192,U_6191)
| ~ r1_tarski(u1_struct_0(U_6192),u1_struct_0(U_6191))
| ~ m1_rlsub_1(U_6191,U_6193) )
| ~ m1_rlsub_1(U_6192,U_6193) )
| ~ l2_rlvect_1(U_6193)
| ~ v7_rlvect_1(U_6193)
| ~ v6_rlvect_1(U_6193)
| ~ v5_rlvect_1(U_6193)
| ~ v4_rlvect_1(U_6193)
| ~ v3_rlvect_1(U_6193)
| v3_struct_0(U_6193) ),
inference(variable_rename,[status(thm)],[f_2377_1]) ).
fof(f_2377_3,plain,
! [U_6191,U_6193,U_6192] :
( m1_rlsub_1(U_6192,U_6191)
| ~ r1_tarski(u1_struct_0(U_6192),u1_struct_0(U_6191))
| ~ m1_rlsub_1(U_6191,U_6193)
| ~ m1_rlsub_1(U_6192,U_6193)
| ~ l2_rlvect_1(U_6193)
| ~ v7_rlvect_1(U_6193)
| ~ v6_rlvect_1(U_6193)
| ~ v5_rlvect_1(U_6193)
| ~ v4_rlvect_1(U_6193)
| ~ v3_rlvect_1(U_6193)
| v3_struct_0(U_6193) ),
inference(definitional_conversion,[status(esa)],[f_2377_2]) ).
cnf(f_2377_4,plain,
( m1_rlsub_1(U_6192,U_6191)
| ~ r1_tarski(u1_struct_0(U_6192),u1_struct_0(U_6191))
| ~ m1_rlsub_1(U_6191,U_6193)
| ~ m1_rlsub_1(U_6192,U_6193)
| ~ l2_rlvect_1(U_6193)
| ~ v7_rlvect_1(U_6193)
| ~ v6_rlvect_1(U_6193)
| ~ v5_rlvect_1(U_6193)
| ~ v4_rlvect_1(U_6193)
| ~ v3_rlvect_1(U_6193)
| v3_struct_0(U_6193) ),
inference(clausify,[status(thm)],[f_2377_3]) ).
fof(f_2378_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_rlsub_1(B,C)
| ? [D] :
( ~ r1_rlvect_1(C,D)
& r1_rlvect_1(B,D)
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_rlsub_1]) ).
fof(f_2378_2,plain,
! [U_6197] :
( ! [U_6196] :
( ! [U_6195] :
( m1_rlsub_1(U_6196,U_6195)
| ? [U_6194] :
( ~ r1_rlvect_1(U_6195,U_6194)
& r1_rlvect_1(U_6196,U_6194)
& m1_subset_1(U_6194,u1_struct_0(U_6197)) )
| ~ m1_rlsub_1(U_6195,U_6197) )
| ~ m1_rlsub_1(U_6196,U_6197) )
| ~ l2_rlvect_1(U_6197)
| ~ v7_rlvect_1(U_6197)
| ~ v6_rlvect_1(U_6197)
| ~ v5_rlvect_1(U_6197)
| ~ v4_rlvect_1(U_6197)
| ~ v3_rlvect_1(U_6197)
| v3_struct_0(U_6197) ),
inference(variable_rename,[status(thm)],[f_2378_1]) ).
fof(f_2378_3,plain,
! [U_6197] :
( ! [U_6196] :
( ! [U_6195] :
( m1_rlsub_1(U_6196,U_6195)
| ( ~ r1_rlvect_1(U_6195,sK769(U_6197,U_6196,U_6195))
& r1_rlvect_1(U_6196,sK769(U_6197,U_6196,U_6195))
& m1_subset_1(sK769(U_6197,U_6196,U_6195),u1_struct_0(U_6197)) )
| ~ m1_rlsub_1(U_6195,U_6197) )
| ~ m1_rlsub_1(U_6196,U_6197) )
| ~ l2_rlvect_1(U_6197)
| ~ v7_rlvect_1(U_6197)
| ~ v6_rlvect_1(U_6197)
| ~ v5_rlvect_1(U_6197)
| ~ v4_rlvect_1(U_6197)
| ~ v3_rlvect_1(U_6197)
| v3_struct_0(U_6197) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK769]),skolemize(U_6194,sK769(U_6197,U_6196,U_6195))],[f_2378_2]) ).
fof(f_2378_4,plain,
( ! [U_6195,U_6197,U_6196] :
( ~ r1_rlvect_1(U_6195,sK769(U_6197,U_6196,U_6195))
| ~ sP1091(U_6195,U_6197,U_6196) )
& ! [U_6195,U_6197,U_6196] :
( r1_rlvect_1(U_6196,sK769(U_6197,U_6196,U_6195))
| ~ sP1091(U_6195,U_6197,U_6196) )
& ! [U_6195,U_6197,U_6196] :
( m1_subset_1(sK769(U_6197,U_6196,U_6195),u1_struct_0(U_6197))
| ~ sP1091(U_6195,U_6197,U_6196) )
& ! [U_6195,U_6197,U_6196] :
( m1_rlsub_1(U_6196,U_6195)
| sP1091(U_6195,U_6197,U_6196)
| ~ m1_rlsub_1(U_6195,U_6197)
| ~ m1_rlsub_1(U_6196,U_6197)
| ~ l2_rlvect_1(U_6197)
| ~ v7_rlvect_1(U_6197)
| ~ v6_rlvect_1(U_6197)
| ~ v5_rlvect_1(U_6197)
| ~ v4_rlvect_1(U_6197)
| ~ v3_rlvect_1(U_6197)
| v3_struct_0(U_6197) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1091])],[f_2378_3]) ).
cnf(f_2378_5,plain,
( m1_rlsub_1(U_6196,U_6195)
| sP1091(U_6195,U_6197,U_6196)
| ~ m1_rlsub_1(U_6195,U_6197)
| ~ m1_rlsub_1(U_6196,U_6197)
| ~ l2_rlvect_1(U_6197)
| ~ v7_rlvect_1(U_6197)
| ~ v6_rlvect_1(U_6197)
| ~ v5_rlvect_1(U_6197)
| ~ v4_rlvect_1(U_6197)
| ~ v3_rlvect_1(U_6197)
| v3_struct_0(U_6197) ),
inference(clausify,[status(thm)],[f_2378_4]) ).
cnf(f_2378_6,plain,
( m1_subset_1(sK769(U_6197,U_6196,U_6195),u1_struct_0(U_6197))
| ~ sP1091(U_6195,U_6197,U_6196) ),
inference(clausify,[status(thm)],[f_2378_4]) ).
cnf(f_2378_7,plain,
( r1_rlvect_1(U_6196,sK769(U_6197,U_6196,U_6195))
| ~ sP1091(U_6195,U_6197,U_6196) ),
inference(clausify,[status(thm)],[f_2378_4]) ).
cnf(f_2378_8,plain,
( ~ r1_rlvect_1(U_6195,sK769(U_6197,U_6196,U_6195))
| ~ sP1091(U_6195,U_6197,U_6196) ),
inference(clausify,[status(thm)],[f_2378_4]) ).
fof(f_2379_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| u1_struct_0(B) != u1_struct_0(C)
| ~ m1_rlsub_1(C,A)
| ~ v2_rlvect_1(C) )
| ~ m1_rlsub_1(B,A)
| ~ v2_rlvect_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t38_rlsub_1]) ).
fof(f_2379_2,plain,
! [U_6200] :
( ! [U_6199] :
( ! [U_6198] :
( U_6199 = U_6198
| u1_struct_0(U_6199) != u1_struct_0(U_6198)
| ~ m1_rlsub_1(U_6198,U_6200)
| ~ v2_rlvect_1(U_6198) )
| ~ m1_rlsub_1(U_6199,U_6200)
| ~ v2_rlvect_1(U_6199) )
| ~ l2_rlvect_1(U_6200)
| ~ v7_rlvect_1(U_6200)
| ~ v6_rlvect_1(U_6200)
| ~ v5_rlvect_1(U_6200)
| ~ v4_rlvect_1(U_6200)
| ~ v3_rlvect_1(U_6200)
| v3_struct_0(U_6200) ),
inference(variable_rename,[status(thm)],[f_2379_1]) ).
fof(f_2379_3,plain,
! [U_6199,U_6200,U_6198] :
( U_6199 = U_6198
| u1_struct_0(U_6199) != u1_struct_0(U_6198)
| ~ m1_rlsub_1(U_6198,U_6200)
| ~ v2_rlvect_1(U_6198)
| ~ m1_rlsub_1(U_6199,U_6200)
| ~ v2_rlvect_1(U_6199)
| ~ l2_rlvect_1(U_6200)
| ~ v7_rlvect_1(U_6200)
| ~ v6_rlvect_1(U_6200)
| ~ v5_rlvect_1(U_6200)
| ~ v4_rlvect_1(U_6200)
| ~ v3_rlvect_1(U_6200)
| v3_struct_0(U_6200) ),
inference(definitional_conversion,[status(esa)],[f_2379_2]) ).
cnf(f_2379_4,plain,
( U_6199 = U_6198
| u1_struct_0(U_6199) != u1_struct_0(U_6198)
| ~ m1_rlsub_1(U_6198,U_6200)
| ~ v2_rlvect_1(U_6198)
| ~ m1_rlsub_1(U_6199,U_6200)
| ~ v2_rlvect_1(U_6199)
| ~ l2_rlvect_1(U_6200)
| ~ v7_rlvect_1(U_6200)
| ~ v6_rlvect_1(U_6200)
| ~ v5_rlvect_1(U_6200)
| ~ v4_rlvect_1(U_6200)
| ~ v3_rlvect_1(U_6200)
| v3_struct_0(U_6200) ),
inference(clausify,[status(thm)],[f_2379_3]) ).
fof(f_2380_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| ? [D] :
( ( ( ~ r1_rlvect_1(B,D)
& r1_rlvect_1(C,D) )
| ( ~ r1_rlvect_1(C,D)
& r1_rlvect_1(B,D) ) )
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_rlsub_1(C,A)
| ~ v2_rlvect_1(C) )
| ~ m1_rlsub_1(B,A)
| ~ v2_rlvect_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t39_rlsub_1]) ).
fof(f_2380_2,plain,
! [U_6204] :
( ! [U_6203] :
( ! [U_6202] :
( U_6203 = U_6202
| ? [U_6201] :
( ( ( ~ r1_rlvect_1(U_6203,U_6201)
& r1_rlvect_1(U_6202,U_6201) )
| ( ~ r1_rlvect_1(U_6202,U_6201)
& r1_rlvect_1(U_6203,U_6201) ) )
& m1_subset_1(U_6201,u1_struct_0(U_6204)) )
| ~ m1_rlsub_1(U_6202,U_6204)
| ~ v2_rlvect_1(U_6202) )
| ~ m1_rlsub_1(U_6203,U_6204)
| ~ v2_rlvect_1(U_6203) )
| ~ l2_rlvect_1(U_6204)
| ~ v7_rlvect_1(U_6204)
| ~ v6_rlvect_1(U_6204)
| ~ v5_rlvect_1(U_6204)
| ~ v4_rlvect_1(U_6204)
| ~ v3_rlvect_1(U_6204)
| v3_struct_0(U_6204) ),
inference(variable_rename,[status(thm)],[f_2380_1]) ).
fof(f_2380_3,plain,
! [U_6204] :
( ! [U_6203] :
( ! [U_6202] :
( U_6203 = U_6202
| ( ( ( ~ r1_rlvect_1(U_6203,sK770(U_6204,U_6203,U_6202))
& r1_rlvect_1(U_6202,sK770(U_6204,U_6203,U_6202)) )
| ( ~ r1_rlvect_1(U_6202,sK770(U_6204,U_6203,U_6202))
& r1_rlvect_1(U_6203,sK770(U_6204,U_6203,U_6202)) ) )
& m1_subset_1(sK770(U_6204,U_6203,U_6202),u1_struct_0(U_6204)) )
| ~ m1_rlsub_1(U_6202,U_6204)
| ~ v2_rlvect_1(U_6202) )
| ~ m1_rlsub_1(U_6203,U_6204)
| ~ v2_rlvect_1(U_6203) )
| ~ l2_rlvect_1(U_6204)
| ~ v7_rlvect_1(U_6204)
| ~ v6_rlvect_1(U_6204)
| ~ v5_rlvect_1(U_6204)
| ~ v4_rlvect_1(U_6204)
| ~ v3_rlvect_1(U_6204)
| v3_struct_0(U_6204) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK770]),skolemize(U_6201,sK770(U_6204,U_6203,U_6202))],[f_2380_2]) ).
fof(f_2380_4,plain,
( ! [U_6204,U_6203,U_6202] :
( ~ r1_rlvect_1(U_6203,sK770(U_6204,U_6203,U_6202))
| ~ sP1093(U_6204,U_6203,U_6202) )
& ! [U_6204,U_6203,U_6202] :
( r1_rlvect_1(U_6202,sK770(U_6204,U_6203,U_6202))
| ~ sP1093(U_6204,U_6203,U_6202) )
& ! [U_6204,U_6203,U_6202] :
( ~ r1_rlvect_1(U_6202,sK770(U_6204,U_6203,U_6202))
| ~ sP1092(U_6204,U_6203,U_6202) )
& ! [U_6204,U_6203,U_6202] :
( r1_rlvect_1(U_6203,sK770(U_6204,U_6203,U_6202))
| ~ sP1092(U_6204,U_6203,U_6202) )
& ! [U_6204,U_6203,U_6202] :
( sP1093(U_6204,U_6203,U_6202)
| sP1092(U_6204,U_6203,U_6202)
| ~ sP1094(U_6204,U_6203,U_6202) )
& ! [U_6204,U_6203,U_6202] :
( m1_subset_1(sK770(U_6204,U_6203,U_6202),u1_struct_0(U_6204))
| ~ sP1094(U_6204,U_6203,U_6202) )
& ! [U_6204,U_6203,U_6202] :
( U_6203 = U_6202
| sP1094(U_6204,U_6203,U_6202)
| ~ m1_rlsub_1(U_6202,U_6204)
| ~ v2_rlvect_1(U_6202)
| ~ m1_rlsub_1(U_6203,U_6204)
| ~ v2_rlvect_1(U_6203)
| ~ l2_rlvect_1(U_6204)
| ~ v7_rlvect_1(U_6204)
| ~ v6_rlvect_1(U_6204)
| ~ v5_rlvect_1(U_6204)
| ~ v4_rlvect_1(U_6204)
| ~ v3_rlvect_1(U_6204)
| v3_struct_0(U_6204) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1092,sP1093,sP1094])],[f_2380_3]) ).
cnf(f_2380_5,plain,
( U_6203 = U_6202
| sP1094(U_6204,U_6203,U_6202)
| ~ m1_rlsub_1(U_6202,U_6204)
| ~ v2_rlvect_1(U_6202)
| ~ m1_rlsub_1(U_6203,U_6204)
| ~ v2_rlvect_1(U_6203)
| ~ l2_rlvect_1(U_6204)
| ~ v7_rlvect_1(U_6204)
| ~ v6_rlvect_1(U_6204)
| ~ v5_rlvect_1(U_6204)
| ~ v4_rlvect_1(U_6204)
| ~ v3_rlvect_1(U_6204)
| v3_struct_0(U_6204) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
cnf(f_2380_6,plain,
( m1_subset_1(sK770(U_6204,U_6203,U_6202),u1_struct_0(U_6204))
| ~ sP1094(U_6204,U_6203,U_6202) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
cnf(f_2380_7,plain,
( sP1093(U_6204,U_6203,U_6202)
| sP1092(U_6204,U_6203,U_6202)
| ~ sP1094(U_6204,U_6203,U_6202) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
cnf(f_2380_8,plain,
( r1_rlvect_1(U_6203,sK770(U_6204,U_6203,U_6202))
| ~ sP1092(U_6204,U_6203,U_6202) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
cnf(f_2380_9,plain,
( ~ r1_rlvect_1(U_6202,sK770(U_6204,U_6203,U_6202))
| ~ sP1092(U_6204,U_6203,U_6202) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
cnf(f_2380_10,plain,
( r1_rlvect_1(U_6202,sK770(U_6204,U_6203,U_6202))
| ~ sP1093(U_6204,U_6203,U_6202) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
cnf(f_2380_11,plain,
( ~ r1_rlvect_1(U_6203,sK770(U_6204,U_6203,U_6202))
| ~ sP1093(U_6204,U_6203,U_6202) ),
inference(clausify,[status(thm)],[f_2380_4]) ).
fof(f_2381_1,plain,
! [A] :
( ! [B] :
( B = A
| u1_struct_0(B) != u1_struct_0(A)
| ~ m1_rlsub_1(B,A)
| ~ v2_rlvect_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| ~ v2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_rlsub_1]) ).
fof(f_2381_2,plain,
! [U_6206] :
( ! [U_6205] :
( U_6205 = U_6206
| u1_struct_0(U_6205) != u1_struct_0(U_6206)
| ~ m1_rlsub_1(U_6205,U_6206)
| ~ v2_rlvect_1(U_6205) )
| ~ l2_rlvect_1(U_6206)
| ~ v7_rlvect_1(U_6206)
| ~ v6_rlvect_1(U_6206)
| ~ v5_rlvect_1(U_6206)
| ~ v4_rlvect_1(U_6206)
| ~ v3_rlvect_1(U_6206)
| ~ v2_rlvect_1(U_6206)
| v3_struct_0(U_6206) ),
inference(variable_rename,[status(thm)],[f_2381_1]) ).
fof(f_2381_3,plain,
! [U_6205,U_6206] :
( U_6205 = U_6206
| u1_struct_0(U_6205) != u1_struct_0(U_6206)
| ~ m1_rlsub_1(U_6205,U_6206)
| ~ v2_rlvect_1(U_6205)
| ~ l2_rlvect_1(U_6206)
| ~ v7_rlvect_1(U_6206)
| ~ v6_rlvect_1(U_6206)
| ~ v5_rlvect_1(U_6206)
| ~ v4_rlvect_1(U_6206)
| ~ v3_rlvect_1(U_6206)
| ~ v2_rlvect_1(U_6206)
| v3_struct_0(U_6206) ),
inference(definitional_conversion,[status(esa)],[f_2381_2]) ).
cnf(f_2381_4,plain,
( U_6205 = U_6206
| u1_struct_0(U_6205) != u1_struct_0(U_6206)
| ~ m1_rlsub_1(U_6205,U_6206)
| ~ v2_rlvect_1(U_6205)
| ~ l2_rlvect_1(U_6206)
| ~ v7_rlvect_1(U_6206)
| ~ v6_rlvect_1(U_6206)
| ~ v5_rlvect_1(U_6206)
| ~ v4_rlvect_1(U_6206)
| ~ v3_rlvect_1(U_6206)
| ~ v2_rlvect_1(U_6206)
| v3_struct_0(U_6206) ),
inference(clausify,[status(thm)],[f_2381_3]) ).
fof(f_2382_1,plain,
! [A] :
( ! [B] :
( B = A
| ? [C] :
( ( ( ~ r1_rlvect_1(B,C)
& r1_rlvect_1(A,C) )
| ( ~ r1_rlvect_1(A,C)
& r1_rlvect_1(B,C) ) )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_rlsub_1(B,A)
| ~ v2_rlvect_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| ~ v2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_rlsub_1]) ).
fof(f_2382_2,plain,
! [U_6209] :
( ! [U_6208] :
( U_6208 = U_6209
| ? [U_6207] :
( ( ( ~ r1_rlvect_1(U_6208,U_6207)
& r1_rlvect_1(U_6209,U_6207) )
| ( ~ r1_rlvect_1(U_6209,U_6207)
& r1_rlvect_1(U_6208,U_6207) ) )
& m1_subset_1(U_6207,u1_struct_0(U_6209)) )
| ~ m1_rlsub_1(U_6208,U_6209)
| ~ v2_rlvect_1(U_6208) )
| ~ l2_rlvect_1(U_6209)
| ~ v7_rlvect_1(U_6209)
| ~ v6_rlvect_1(U_6209)
| ~ v5_rlvect_1(U_6209)
| ~ v4_rlvect_1(U_6209)
| ~ v3_rlvect_1(U_6209)
| ~ v2_rlvect_1(U_6209)
| v3_struct_0(U_6209) ),
inference(variable_rename,[status(thm)],[f_2382_1]) ).
fof(f_2382_3,plain,
! [U_6209] :
( ! [U_6208] :
( U_6208 = U_6209
| ( ( ( ~ r1_rlvect_1(U_6208,sK771(U_6209,U_6208))
& r1_rlvect_1(U_6209,sK771(U_6209,U_6208)) )
| ( ~ r1_rlvect_1(U_6209,sK771(U_6209,U_6208))
& r1_rlvect_1(U_6208,sK771(U_6209,U_6208)) ) )
& m1_subset_1(sK771(U_6209,U_6208),u1_struct_0(U_6209)) )
| ~ m1_rlsub_1(U_6208,U_6209)
| ~ v2_rlvect_1(U_6208) )
| ~ l2_rlvect_1(U_6209)
| ~ v7_rlvect_1(U_6209)
| ~ v6_rlvect_1(U_6209)
| ~ v5_rlvect_1(U_6209)
| ~ v4_rlvect_1(U_6209)
| ~ v3_rlvect_1(U_6209)
| ~ v2_rlvect_1(U_6209)
| v3_struct_0(U_6209) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK771]),skolemize(U_6207,sK771(U_6209,U_6208))],[f_2382_2]) ).
fof(f_2382_4,plain,
( ! [U_6208,U_6209] :
( ~ r1_rlvect_1(U_6208,sK771(U_6209,U_6208))
| ~ sP1096(U_6208,U_6209) )
& ! [U_6208,U_6209] :
( r1_rlvect_1(U_6209,sK771(U_6209,U_6208))
| ~ sP1096(U_6208,U_6209) )
& ! [U_6208,U_6209] :
( ~ r1_rlvect_1(U_6209,sK771(U_6209,U_6208))
| ~ sP1095(U_6208,U_6209) )
& ! [U_6208,U_6209] :
( r1_rlvect_1(U_6208,sK771(U_6209,U_6208))
| ~ sP1095(U_6208,U_6209) )
& ! [U_6208,U_6209] :
( sP1096(U_6208,U_6209)
| sP1095(U_6208,U_6209)
| ~ sP1097(U_6208,U_6209) )
& ! [U_6208,U_6209] :
( m1_subset_1(sK771(U_6209,U_6208),u1_struct_0(U_6209))
| ~ sP1097(U_6208,U_6209) )
& ! [U_6208,U_6209] :
( U_6208 = U_6209
| sP1097(U_6208,U_6209)
| ~ m1_rlsub_1(U_6208,U_6209)
| ~ v2_rlvect_1(U_6208)
| ~ l2_rlvect_1(U_6209)
| ~ v7_rlvect_1(U_6209)
| ~ v6_rlvect_1(U_6209)
| ~ v5_rlvect_1(U_6209)
| ~ v4_rlvect_1(U_6209)
| ~ v3_rlvect_1(U_6209)
| ~ v2_rlvect_1(U_6209)
| v3_struct_0(U_6209) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1095,sP1096,sP1097])],[f_2382_3]) ).
cnf(f_2382_5,plain,
( U_6208 = U_6209
| sP1097(U_6208,U_6209)
| ~ m1_rlsub_1(U_6208,U_6209)
| ~ v2_rlvect_1(U_6208)
| ~ l2_rlvect_1(U_6209)
| ~ v7_rlvect_1(U_6209)
| ~ v6_rlvect_1(U_6209)
| ~ v5_rlvect_1(U_6209)
| ~ v4_rlvect_1(U_6209)
| ~ v3_rlvect_1(U_6209)
| ~ v2_rlvect_1(U_6209)
| v3_struct_0(U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
cnf(f_2382_6,plain,
( m1_subset_1(sK771(U_6209,U_6208),u1_struct_0(U_6209))
| ~ sP1097(U_6208,U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
cnf(f_2382_7,plain,
( sP1096(U_6208,U_6209)
| sP1095(U_6208,U_6209)
| ~ sP1097(U_6208,U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
cnf(f_2382_8,plain,
( r1_rlvect_1(U_6208,sK771(U_6209,U_6208))
| ~ sP1095(U_6208,U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
cnf(f_2382_9,plain,
( ~ r1_rlvect_1(U_6209,sK771(U_6209,U_6208))
| ~ sP1095(U_6208,U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
cnf(f_2382_10,plain,
( r1_rlvect_1(U_6209,sK771(U_6209,U_6208))
| ~ sP1096(U_6208,U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
cnf(f_2382_11,plain,
( ~ r1_rlvect_1(U_6208,sK771(U_6209,U_6208))
| ~ sP1096(U_6208,U_6209) ),
inference(clausify,[status(thm)],[f_2382_4]) ).
fof(f_2383_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( v1_rlsub_1(B,A)
| u1_struct_0(C) != B
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_rlsub_1]) ).
fof(f_2383_2,plain,
! [U_6212] :
( ! [U_6211] :
( ! [U_6210] :
( v1_rlsub_1(U_6211,U_6212)
| u1_struct_0(U_6210) != U_6211
| ~ m1_rlsub_1(U_6210,U_6212) )
| ~ m1_subset_1(U_6211,k1_zfmisc_1(u1_struct_0(U_6212))) )
| ~ l2_rlvect_1(U_6212)
| ~ v7_rlvect_1(U_6212)
| ~ v6_rlvect_1(U_6212)
| ~ v5_rlvect_1(U_6212)
| ~ v4_rlvect_1(U_6212)
| ~ v3_rlvect_1(U_6212)
| v3_struct_0(U_6212) ),
inference(variable_rename,[status(thm)],[f_2383_1]) ).
fof(f_2383_3,plain,
! [U_6211,U_6212,U_6210] :
( v1_rlsub_1(U_6211,U_6212)
| u1_struct_0(U_6210) != U_6211
| ~ m1_rlsub_1(U_6210,U_6212)
| ~ m1_subset_1(U_6211,k1_zfmisc_1(u1_struct_0(U_6212)))
| ~ l2_rlvect_1(U_6212)
| ~ v7_rlvect_1(U_6212)
| ~ v6_rlvect_1(U_6212)
| ~ v5_rlvect_1(U_6212)
| ~ v4_rlvect_1(U_6212)
| ~ v3_rlvect_1(U_6212)
| v3_struct_0(U_6212) ),
inference(definitional_conversion,[status(esa)],[f_2383_2]) ).
cnf(f_2383_4,plain,
( v1_rlsub_1(U_6211,U_6212)
| u1_struct_0(U_6210) != U_6211
| ~ m1_rlsub_1(U_6210,U_6212)
| ~ m1_subset_1(U_6211,k1_zfmisc_1(u1_struct_0(U_6212)))
| ~ l2_rlvect_1(U_6212)
| ~ v7_rlvect_1(U_6212)
| ~ v6_rlvect_1(U_6212)
| ~ v5_rlvect_1(U_6212)
| ~ v4_rlvect_1(U_6212)
| ~ v3_rlvect_1(U_6212)
| v3_struct_0(U_6212) ),
inference(clausify,[status(thm)],[f_2383_3]) ).
fof(f_2384_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( B = u1_struct_0(C)
& m1_rlsub_1(C,A)
& v2_rlvect_1(C) )
| ~ v1_rlsub_1(B,A)
| B = k1_xboole_0
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_rlsub_1]) ).
fof(f_2384_2,plain,
! [U_6215] :
( ! [U_6214] :
( ? [U_6213] :
( U_6214 = u1_struct_0(U_6213)
& m1_rlsub_1(U_6213,U_6215)
& v2_rlvect_1(U_6213) )
| ~ v1_rlsub_1(U_6214,U_6215)
| U_6214 = k1_xboole_0
| ~ m1_subset_1(U_6214,k1_zfmisc_1(u1_struct_0(U_6215))) )
| ~ l2_rlvect_1(U_6215)
| ~ v7_rlvect_1(U_6215)
| ~ v6_rlvect_1(U_6215)
| ~ v5_rlvect_1(U_6215)
| ~ v4_rlvect_1(U_6215)
| ~ v3_rlvect_1(U_6215)
| v3_struct_0(U_6215) ),
inference(variable_rename,[status(thm)],[f_2384_1]) ).
fof(f_2384_3,plain,
! [U_6215] :
( ! [U_6214] :
( ( U_6214 = u1_struct_0(sK772(U_6215,U_6214))
& m1_rlsub_1(sK772(U_6215,U_6214),U_6215)
& v2_rlvect_1(sK772(U_6215,U_6214)) )
| ~ v1_rlsub_1(U_6214,U_6215)
| U_6214 = k1_xboole_0
| ~ m1_subset_1(U_6214,k1_zfmisc_1(u1_struct_0(U_6215))) )
| ~ l2_rlvect_1(U_6215)
| ~ v7_rlvect_1(U_6215)
| ~ v6_rlvect_1(U_6215)
| ~ v5_rlvect_1(U_6215)
| ~ v4_rlvect_1(U_6215)
| ~ v3_rlvect_1(U_6215)
| v3_struct_0(U_6215) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK772]),skolemize(U_6213,sK772(U_6215,U_6214))],[f_2384_2]) ).
fof(f_2384_4,plain,
( ! [U_6214,U_6215] :
( U_6214 = u1_struct_0(sK772(U_6215,U_6214))
| ~ sP1098(U_6214,U_6215) )
& ! [U_6214,U_6215] :
( m1_rlsub_1(sK772(U_6215,U_6214),U_6215)
| ~ sP1098(U_6214,U_6215) )
& ! [U_6214,U_6215] :
( v2_rlvect_1(sK772(U_6215,U_6214))
| ~ sP1098(U_6214,U_6215) )
& ! [U_6214,U_6215] :
( sP1098(U_6214,U_6215)
| ~ v1_rlsub_1(U_6214,U_6215)
| U_6214 = k1_xboole_0
| ~ m1_subset_1(U_6214,k1_zfmisc_1(u1_struct_0(U_6215)))
| ~ l2_rlvect_1(U_6215)
| ~ v7_rlvect_1(U_6215)
| ~ v6_rlvect_1(U_6215)
| ~ v5_rlvect_1(U_6215)
| ~ v4_rlvect_1(U_6215)
| ~ v3_rlvect_1(U_6215)
| v3_struct_0(U_6215) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1098])],[f_2384_3]) ).
cnf(f_2384_5,plain,
( sP1098(U_6214,U_6215)
| ~ v1_rlsub_1(U_6214,U_6215)
| U_6214 = k1_xboole_0
| ~ m1_subset_1(U_6214,k1_zfmisc_1(u1_struct_0(U_6215)))
| ~ l2_rlvect_1(U_6215)
| ~ v7_rlvect_1(U_6215)
| ~ v6_rlvect_1(U_6215)
| ~ v5_rlvect_1(U_6215)
| ~ v4_rlvect_1(U_6215)
| ~ v3_rlvect_1(U_6215)
| v3_struct_0(U_6215) ),
inference(clausify,[status(thm)],[f_2384_4]) ).
cnf(f_2384_6,plain,
( v2_rlvect_1(sK772(U_6215,U_6214))
| ~ sP1098(U_6214,U_6215) ),
inference(clausify,[status(thm)],[f_2384_4]) ).
cnf(f_2384_7,plain,
( m1_rlsub_1(sK772(U_6215,U_6214),U_6215)
| ~ sP1098(U_6214,U_6215) ),
inference(clausify,[status(thm)],[f_2384_4]) ).
cnf(f_2384_8,plain,
( U_6214 = u1_struct_0(sK772(U_6215,U_6214))
| ~ sP1098(U_6214,U_6215) ),
inference(clausify,[status(thm)],[f_2384_4]) ).
fof(f_2385_1,plain,
! [A] :
( ! [B] :
( ( ( B = k1_rlsub_1(A)
| u1_struct_0(B) != k1_struct_0(A,k1_rlvect_1(A)) )
& ( u1_struct_0(B) = k1_struct_0(A,k1_rlvect_1(A))
| B != k1_rlsub_1(A) ) )
| ~ m1_rlsub_1(B,A)
| ~ v2_rlvect_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d3_rlsub_1]) ).
fof(f_2385_2,plain,
! [U_6217] :
( ! [U_6216] :
( ( ( U_6216 = k1_rlsub_1(U_6217)
| u1_struct_0(U_6216) != k1_struct_0(U_6217,k1_rlvect_1(U_6217)) )
& ( u1_struct_0(U_6216) = k1_struct_0(U_6217,k1_rlvect_1(U_6217))
| U_6216 != k1_rlsub_1(U_6217) ) )
| ~ m1_rlsub_1(U_6216,U_6217)
| ~ v2_rlvect_1(U_6216) )
| ~ l2_rlvect_1(U_6217)
| ~ v7_rlvect_1(U_6217)
| ~ v6_rlvect_1(U_6217)
| ~ v5_rlvect_1(U_6217)
| ~ v4_rlvect_1(U_6217)
| ~ v3_rlvect_1(U_6217)
| v3_struct_0(U_6217) ),
inference(variable_rename,[status(thm)],[f_2385_1]) ).
fof(f_2385_3,plain,
( ! [U_6216,U_6217] :
( U_6216 = k1_rlsub_1(U_6217)
| u1_struct_0(U_6216) != k1_struct_0(U_6217,k1_rlvect_1(U_6217))
| ~ sP1099(U_6216,U_6217) )
& ! [U_6216,U_6217] :
( u1_struct_0(U_6216) = k1_struct_0(U_6217,k1_rlvect_1(U_6217))
| U_6216 != k1_rlsub_1(U_6217)
| ~ sP1099(U_6216,U_6217) )
& ! [U_6216,U_6217] :
( sP1099(U_6216,U_6217)
| ~ m1_rlsub_1(U_6216,U_6217)
| ~ v2_rlvect_1(U_6216)
| ~ l2_rlvect_1(U_6217)
| ~ v7_rlvect_1(U_6217)
| ~ v6_rlvect_1(U_6217)
| ~ v5_rlvect_1(U_6217)
| ~ v4_rlvect_1(U_6217)
| ~ v3_rlvect_1(U_6217)
| v3_struct_0(U_6217) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1099])],[f_2385_2]) ).
cnf(f_2385_4,plain,
( sP1099(U_6216,U_6217)
| ~ m1_rlsub_1(U_6216,U_6217)
| ~ v2_rlvect_1(U_6216)
| ~ l2_rlvect_1(U_6217)
| ~ v7_rlvect_1(U_6217)
| ~ v6_rlvect_1(U_6217)
| ~ v5_rlvect_1(U_6217)
| ~ v4_rlvect_1(U_6217)
| ~ v3_rlvect_1(U_6217)
| v3_struct_0(U_6217) ),
inference(clausify,[status(thm)],[f_2385_3]) ).
cnf(f_2385_5,plain,
( u1_struct_0(U_6216) = k1_struct_0(U_6217,k1_rlvect_1(U_6217))
| U_6216 != k1_rlsub_1(U_6217)
| ~ sP1099(U_6216,U_6217) ),
inference(clausify,[status(thm)],[f_2385_3]) ).
cnf(f_2385_6,plain,
( U_6216 = k1_rlsub_1(U_6217)
| u1_struct_0(U_6216) != k1_struct_0(U_6217,k1_rlvect_1(U_6217))
| ~ sP1099(U_6216,U_6217) ),
inference(clausify,[status(thm)],[f_2385_3]) ).
fof(f_2386_1,plain,
! [A] :
( k2_rlsub_1(A) = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_rlsub_1]) ).
fof(f_2386_2,plain,
! [U_6218] :
( k2_rlsub_1(U_6218) = g2_rlvect_1(u1_struct_0(U_6218),u2_struct_0(U_6218),u1_rlvect_1(U_6218),u2_rlvect_1(U_6218))
| ~ l2_rlvect_1(U_6218)
| ~ v7_rlvect_1(U_6218)
| ~ v6_rlvect_1(U_6218)
| ~ v5_rlvect_1(U_6218)
| ~ v4_rlvect_1(U_6218)
| ~ v3_rlvect_1(U_6218)
| v3_struct_0(U_6218) ),
inference(variable_rename,[status(thm)],[f_2386_1]) ).
fof(f_2386_3,plain,
! [U_6218] :
( k2_rlsub_1(U_6218) = g2_rlvect_1(u1_struct_0(U_6218),u2_struct_0(U_6218),u1_rlvect_1(U_6218),u2_rlvect_1(U_6218))
| ~ l2_rlvect_1(U_6218)
| ~ v7_rlvect_1(U_6218)
| ~ v6_rlvect_1(U_6218)
| ~ v5_rlvect_1(U_6218)
| ~ v4_rlvect_1(U_6218)
| ~ v3_rlvect_1(U_6218)
| v3_struct_0(U_6218) ),
inference(definitional_conversion,[status(esa)],[f_2386_2]) ).
cnf(f_2386_4,plain,
( k2_rlsub_1(U_6218) = g2_rlvect_1(u1_struct_0(U_6218),u2_struct_0(U_6218),u1_rlvect_1(U_6218),u2_rlvect_1(U_6218))
| ~ l2_rlvect_1(U_6218)
| ~ v7_rlvect_1(U_6218)
| ~ v6_rlvect_1(U_6218)
| ~ v5_rlvect_1(U_6218)
| ~ v4_rlvect_1(U_6218)
| ~ v3_rlvect_1(U_6218)
| v3_struct_0(U_6218) ),
inference(clausify,[status(thm)],[f_2386_3]) ).
fof(f_2387_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t44_rlsub_1]) ).
fof(f_2387_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2387_1]) ).
cnf(f_2387_3,plain,
$true,
inference(clausify,[status(thm)],[f_2387_2]) ).
fof(f_2388_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t45_rlsub_1]) ).
fof(f_2388_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2388_1]) ).
cnf(f_2388_3,plain,
$true,
inference(clausify,[status(thm)],[f_2388_2]) ).
fof(f_2389_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t46_rlsub_1]) ).
fof(f_2389_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2389_1]) ).
cnf(f_2389_3,plain,
$true,
inference(clausify,[status(thm)],[f_2389_2]) ).
fof(f_2390_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t47_rlsub_1]) ).
fof(f_2390_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2390_1]) ).
cnf(f_2390_3,plain,
$true,
inference(clausify,[status(thm)],[f_2390_2]) ).
fof(f_2391_1,plain,
! [A] :
( ! [B] :
( k1_rlsub_1(B) = k1_rlsub_1(A)
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t48_rlsub_1]) ).
fof(f_2391_2,plain,
! [U_6220] :
( ! [U_6219] :
( k1_rlsub_1(U_6219) = k1_rlsub_1(U_6220)
| ~ m1_rlsub_1(U_6219,U_6220) )
| ~ l2_rlvect_1(U_6220)
| ~ v7_rlvect_1(U_6220)
| ~ v6_rlvect_1(U_6220)
| ~ v5_rlvect_1(U_6220)
| ~ v4_rlvect_1(U_6220)
| ~ v3_rlvect_1(U_6220)
| v3_struct_0(U_6220) ),
inference(variable_rename,[status(thm)],[f_2391_1]) ).
fof(f_2391_3,plain,
! [U_6219,U_6220] :
( k1_rlsub_1(U_6219) = k1_rlsub_1(U_6220)
| ~ m1_rlsub_1(U_6219,U_6220)
| ~ l2_rlvect_1(U_6220)
| ~ v7_rlvect_1(U_6220)
| ~ v6_rlvect_1(U_6220)
| ~ v5_rlvect_1(U_6220)
| ~ v4_rlvect_1(U_6220)
| ~ v3_rlvect_1(U_6220)
| v3_struct_0(U_6220) ),
inference(definitional_conversion,[status(esa)],[f_2391_2]) ).
cnf(f_2391_4,plain,
( k1_rlsub_1(U_6219) = k1_rlsub_1(U_6220)
| ~ m1_rlsub_1(U_6219,U_6220)
| ~ l2_rlvect_1(U_6220)
| ~ v7_rlvect_1(U_6220)
| ~ v6_rlvect_1(U_6220)
| ~ v5_rlvect_1(U_6220)
| ~ v4_rlvect_1(U_6220)
| ~ v3_rlvect_1(U_6220)
| v3_struct_0(U_6220) ),
inference(clausify,[status(thm)],[f_2391_3]) ).
fof(f_2392_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_rlsub_1(B) = k1_rlsub_1(C)
| ~ m1_rlsub_1(C,A) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t49_rlsub_1]) ).
fof(f_2392_2,plain,
! [U_6223] :
( ! [U_6222] :
( ! [U_6221] :
( k1_rlsub_1(U_6222) = k1_rlsub_1(U_6221)
| ~ m1_rlsub_1(U_6221,U_6223) )
| ~ m1_rlsub_1(U_6222,U_6223) )
| ~ l2_rlvect_1(U_6223)
| ~ v7_rlvect_1(U_6223)
| ~ v6_rlvect_1(U_6223)
| ~ v5_rlvect_1(U_6223)
| ~ v4_rlvect_1(U_6223)
| ~ v3_rlvect_1(U_6223)
| v3_struct_0(U_6223) ),
inference(variable_rename,[status(thm)],[f_2392_1]) ).
fof(f_2392_3,plain,
! [U_6223,U_6221,U_6222] :
( k1_rlsub_1(U_6222) = k1_rlsub_1(U_6221)
| ~ m1_rlsub_1(U_6221,U_6223)
| ~ m1_rlsub_1(U_6222,U_6223)
| ~ l2_rlvect_1(U_6223)
| ~ v7_rlvect_1(U_6223)
| ~ v6_rlvect_1(U_6223)
| ~ v5_rlvect_1(U_6223)
| ~ v4_rlvect_1(U_6223)
| ~ v3_rlvect_1(U_6223)
| v3_struct_0(U_6223) ),
inference(definitional_conversion,[status(esa)],[f_2392_2]) ).
cnf(f_2392_4,plain,
( k1_rlsub_1(U_6222) = k1_rlsub_1(U_6221)
| ~ m1_rlsub_1(U_6221,U_6223)
| ~ m1_rlsub_1(U_6222,U_6223)
| ~ l2_rlvect_1(U_6223)
| ~ v7_rlvect_1(U_6223)
| ~ v6_rlvect_1(U_6223)
| ~ v5_rlvect_1(U_6223)
| ~ v4_rlvect_1(U_6223)
| ~ v3_rlvect_1(U_6223)
| v3_struct_0(U_6223) ),
inference(clausify,[status(thm)],[f_2392_3]) ).
fof(f_2393_1,plain,
! [A] :
( ! [B] :
( m1_rlsub_1(k1_rlsub_1(B),A)
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t50_rlsub_1]) ).
fof(f_2393_2,plain,
! [U_6225] :
( ! [U_6224] :
( m1_rlsub_1(k1_rlsub_1(U_6224),U_6225)
| ~ m1_rlsub_1(U_6224,U_6225) )
| ~ l2_rlvect_1(U_6225)
| ~ v7_rlvect_1(U_6225)
| ~ v6_rlvect_1(U_6225)
| ~ v5_rlvect_1(U_6225)
| ~ v4_rlvect_1(U_6225)
| ~ v3_rlvect_1(U_6225)
| v3_struct_0(U_6225) ),
inference(variable_rename,[status(thm)],[f_2393_1]) ).
fof(f_2393_3,plain,
! [U_6225,U_6224] :
( m1_rlsub_1(k1_rlsub_1(U_6224),U_6225)
| ~ m1_rlsub_1(U_6224,U_6225)
| ~ l2_rlvect_1(U_6225)
| ~ v7_rlvect_1(U_6225)
| ~ v6_rlvect_1(U_6225)
| ~ v5_rlvect_1(U_6225)
| ~ v4_rlvect_1(U_6225)
| ~ v3_rlvect_1(U_6225)
| v3_struct_0(U_6225) ),
inference(definitional_conversion,[status(esa)],[f_2393_2]) ).
cnf(f_2393_4,plain,
( m1_rlsub_1(k1_rlsub_1(U_6224),U_6225)
| ~ m1_rlsub_1(U_6224,U_6225)
| ~ l2_rlvect_1(U_6225)
| ~ v7_rlvect_1(U_6225)
| ~ v6_rlvect_1(U_6225)
| ~ v5_rlvect_1(U_6225)
| ~ v4_rlvect_1(U_6225)
| ~ v3_rlvect_1(U_6225)
| v3_struct_0(U_6225) ),
inference(clausify,[status(thm)],[f_2393_3]) ).
fof(f_2394_1,plain,
! [A] :
( ! [B] :
( m1_rlsub_1(k1_rlsub_1(A),B)
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t51_rlsub_1]) ).
fof(f_2394_2,plain,
! [U_6227] :
( ! [U_6226] :
( m1_rlsub_1(k1_rlsub_1(U_6227),U_6226)
| ~ m1_rlsub_1(U_6226,U_6227) )
| ~ l2_rlvect_1(U_6227)
| ~ v7_rlvect_1(U_6227)
| ~ v6_rlvect_1(U_6227)
| ~ v5_rlvect_1(U_6227)
| ~ v4_rlvect_1(U_6227)
| ~ v3_rlvect_1(U_6227)
| v3_struct_0(U_6227) ),
inference(variable_rename,[status(thm)],[f_2394_1]) ).
fof(f_2394_3,plain,
! [U_6226,U_6227] :
( m1_rlsub_1(k1_rlsub_1(U_6227),U_6226)
| ~ m1_rlsub_1(U_6226,U_6227)
| ~ l2_rlvect_1(U_6227)
| ~ v7_rlvect_1(U_6227)
| ~ v6_rlvect_1(U_6227)
| ~ v5_rlvect_1(U_6227)
| ~ v4_rlvect_1(U_6227)
| ~ v3_rlvect_1(U_6227)
| v3_struct_0(U_6227) ),
inference(definitional_conversion,[status(esa)],[f_2394_2]) ).
cnf(f_2394_4,plain,
( m1_rlsub_1(k1_rlsub_1(U_6227),U_6226)
| ~ m1_rlsub_1(U_6226,U_6227)
| ~ l2_rlvect_1(U_6227)
| ~ v7_rlvect_1(U_6227)
| ~ v6_rlvect_1(U_6227)
| ~ v5_rlvect_1(U_6227)
| ~ v4_rlvect_1(U_6227)
| ~ v3_rlvect_1(U_6227)
| v3_struct_0(U_6227) ),
inference(clausify,[status(thm)],[f_2394_3]) ).
fof(f_2395_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_rlsub_1(k1_rlsub_1(B),C)
| ~ m1_rlsub_1(C,A) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t52_rlsub_1]) ).
fof(f_2395_2,plain,
! [U_6230] :
( ! [U_6229] :
( ! [U_6228] :
( m1_rlsub_1(k1_rlsub_1(U_6229),U_6228)
| ~ m1_rlsub_1(U_6228,U_6230) )
| ~ m1_rlsub_1(U_6229,U_6230) )
| ~ l2_rlvect_1(U_6230)
| ~ v7_rlvect_1(U_6230)
| ~ v6_rlvect_1(U_6230)
| ~ v5_rlvect_1(U_6230)
| ~ v4_rlvect_1(U_6230)
| ~ v3_rlvect_1(U_6230)
| v3_struct_0(U_6230) ),
inference(variable_rename,[status(thm)],[f_2395_1]) ).
fof(f_2395_3,plain,
! [U_6229,U_6228,U_6230] :
( m1_rlsub_1(k1_rlsub_1(U_6229),U_6228)
| ~ m1_rlsub_1(U_6228,U_6230)
| ~ m1_rlsub_1(U_6229,U_6230)
| ~ l2_rlvect_1(U_6230)
| ~ v7_rlvect_1(U_6230)
| ~ v6_rlvect_1(U_6230)
| ~ v5_rlvect_1(U_6230)
| ~ v4_rlvect_1(U_6230)
| ~ v3_rlvect_1(U_6230)
| v3_struct_0(U_6230) ),
inference(definitional_conversion,[status(esa)],[f_2395_2]) ).
cnf(f_2395_4,plain,
( m1_rlsub_1(k1_rlsub_1(U_6229),U_6228)
| ~ m1_rlsub_1(U_6228,U_6230)
| ~ m1_rlsub_1(U_6229,U_6230)
| ~ l2_rlvect_1(U_6230)
| ~ v7_rlvect_1(U_6230)
| ~ v6_rlvect_1(U_6230)
| ~ v5_rlvect_1(U_6230)
| ~ v4_rlvect_1(U_6230)
| ~ v3_rlvect_1(U_6230)
| v3_struct_0(U_6230) ),
inference(clausify,[status(thm)],[f_2395_3]) ).
fof(f_2396_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_rlsub_1]) ).
fof(f_2396_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2396_1]) ).
cnf(f_2396_3,plain,
$true,
inference(clausify,[status(thm)],[f_2396_2]) ).
fof(f_2397_1,plain,
! [A] :
( m1_rlsub_1(A,k2_rlsub_1(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| ~ v2_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t54_rlsub_1]) ).
fof(f_2397_2,plain,
! [U_6231] :
( m1_rlsub_1(U_6231,k2_rlsub_1(U_6231))
| ~ l2_rlvect_1(U_6231)
| ~ v7_rlvect_1(U_6231)
| ~ v6_rlvect_1(U_6231)
| ~ v5_rlvect_1(U_6231)
| ~ v4_rlvect_1(U_6231)
| ~ v3_rlvect_1(U_6231)
| ~ v2_rlvect_1(U_6231)
| v3_struct_0(U_6231) ),
inference(variable_rename,[status(thm)],[f_2397_1]) ).
fof(f_2397_3,plain,
! [U_6231] :
( m1_rlsub_1(U_6231,k2_rlsub_1(U_6231))
| ~ l2_rlvect_1(U_6231)
| ~ v7_rlvect_1(U_6231)
| ~ v6_rlvect_1(U_6231)
| ~ v5_rlvect_1(U_6231)
| ~ v4_rlvect_1(U_6231)
| ~ v3_rlvect_1(U_6231)
| ~ v2_rlvect_1(U_6231)
| v3_struct_0(U_6231) ),
inference(definitional_conversion,[status(esa)],[f_2397_2]) ).
cnf(f_2397_4,plain,
( m1_rlsub_1(U_6231,k2_rlsub_1(U_6231))
| ~ l2_rlvect_1(U_6231)
| ~ v7_rlvect_1(U_6231)
| ~ v6_rlvect_1(U_6231)
| ~ v5_rlvect_1(U_6231)
| ~ v4_rlvect_1(U_6231)
| ~ v3_rlvect_1(U_6231)
| ~ v2_rlvect_1(U_6231)
| v3_struct_0(U_6231) ),
inference(clausify,[status(thm)],[f_2397_3]) ).
fof(f_2398_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( m2_rlsub_1(C,A,B)
| ! [D] :
( C != k3_rlsub_1(A,D,B)
| ~ m1_subset_1(D,u1_struct_0(A)) ) )
& ( ? [D] :
( C = k3_rlsub_1(A,D,B)
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m2_rlsub_1(C,A,B) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_rlsub_1]) ).
fof(f_2398_2,plain,
! [U_6236] :
( ! [U_6235] :
( ! [U_6234] :
( ( ( m2_rlsub_1(U_6234,U_6236,U_6235)
| ! [U_6233] :
( U_6234 != k3_rlsub_1(U_6236,U_6233,U_6235)
| ~ m1_subset_1(U_6233,u1_struct_0(U_6236)) ) )
& ( ? [U_6232] :
( U_6234 = k3_rlsub_1(U_6236,U_6232,U_6235)
& m1_subset_1(U_6232,u1_struct_0(U_6236)) )
| ~ m2_rlsub_1(U_6234,U_6236,U_6235) ) )
| ~ m1_subset_1(U_6234,k1_zfmisc_1(u1_struct_0(U_6236))) )
| ~ m1_rlsub_1(U_6235,U_6236) )
| ~ l2_rlvect_1(U_6236)
| ~ v7_rlvect_1(U_6236)
| ~ v6_rlvect_1(U_6236)
| ~ v5_rlvect_1(U_6236)
| ~ v4_rlvect_1(U_6236)
| ~ v3_rlvect_1(U_6236)
| v3_struct_0(U_6236) ),
inference(variable_rename,[status(thm)],[f_2398_1]) ).
fof(f_2398_3,plain,
! [U_6236] :
( ! [U_6235] :
( ! [U_6234] :
( ( ( m2_rlsub_1(U_6234,U_6236,U_6235)
| ! [U_6233] :
( U_6234 != k3_rlsub_1(U_6236,U_6233,U_6235)
| ~ m1_subset_1(U_6233,u1_struct_0(U_6236)) ) )
& ( ( U_6234 = k3_rlsub_1(U_6236,sK773(U_6236,U_6235,U_6234),U_6235)
& m1_subset_1(sK773(U_6236,U_6235,U_6234),u1_struct_0(U_6236)) )
| ~ m2_rlsub_1(U_6234,U_6236,U_6235) ) )
| ~ m1_subset_1(U_6234,k1_zfmisc_1(u1_struct_0(U_6236))) )
| ~ m1_rlsub_1(U_6235,U_6236) )
| ~ l2_rlvect_1(U_6236)
| ~ v7_rlvect_1(U_6236)
| ~ v6_rlvect_1(U_6236)
| ~ v5_rlvect_1(U_6236)
| ~ v4_rlvect_1(U_6236)
| ~ v3_rlvect_1(U_6236)
| v3_struct_0(U_6236) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK773]),skolemize(U_6232,sK773(U_6236,U_6235,U_6234))],[f_2398_2]) ).
fof(f_2398_4,plain,
( ! [U_6234,U_6235,U_6236] :
( U_6234 = k3_rlsub_1(U_6236,sK773(U_6236,U_6235,U_6234),U_6235)
| ~ sP1100(U_6234,U_6235,U_6236) )
& ! [U_6234,U_6235,U_6236] :
( m1_subset_1(sK773(U_6236,U_6235,U_6234),u1_struct_0(U_6236))
| ~ sP1100(U_6234,U_6235,U_6236) )
& ! [U_6234,U_6235,U_6236,U_6233] :
( m2_rlsub_1(U_6234,U_6236,U_6235)
| U_6234 != k3_rlsub_1(U_6236,U_6233,U_6235)
| ~ m1_subset_1(U_6233,u1_struct_0(U_6236))
| ~ sP1101(U_6234,U_6235,U_6236,U_6233) )
& ! [U_6234,U_6235,U_6236,U_6233] :
( sP1100(U_6234,U_6235,U_6236)
| ~ m2_rlsub_1(U_6234,U_6236,U_6235)
| ~ sP1101(U_6234,U_6235,U_6236,U_6233) )
& ! [U_6234,U_6235,U_6236,U_6233] :
( sP1101(U_6234,U_6235,U_6236,U_6233)
| ~ m1_subset_1(U_6234,k1_zfmisc_1(u1_struct_0(U_6236)))
| ~ m1_rlsub_1(U_6235,U_6236)
| ~ l2_rlvect_1(U_6236)
| ~ v7_rlvect_1(U_6236)
| ~ v6_rlvect_1(U_6236)
| ~ v5_rlvect_1(U_6236)
| ~ v4_rlvect_1(U_6236)
| ~ v3_rlvect_1(U_6236)
| v3_struct_0(U_6236) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1100,sP1101])],[f_2398_3]) ).
cnf(f_2398_5,plain,
( sP1101(U_6234,U_6235,U_6236,U_6233)
| ~ m1_subset_1(U_6234,k1_zfmisc_1(u1_struct_0(U_6236)))
| ~ m1_rlsub_1(U_6235,U_6236)
| ~ l2_rlvect_1(U_6236)
| ~ v7_rlvect_1(U_6236)
| ~ v6_rlvect_1(U_6236)
| ~ v5_rlvect_1(U_6236)
| ~ v4_rlvect_1(U_6236)
| ~ v3_rlvect_1(U_6236)
| v3_struct_0(U_6236) ),
inference(clausify,[status(thm)],[f_2398_4]) ).
cnf(f_2398_6,plain,
( sP1100(U_6234,U_6235,U_6236)
| ~ m2_rlsub_1(U_6234,U_6236,U_6235)
| ~ sP1101(U_6234,U_6235,U_6236,U_6233) ),
inference(clausify,[status(thm)],[f_2398_4]) ).
cnf(f_2398_7,plain,
( m2_rlsub_1(U_6234,U_6236,U_6235)
| U_6234 != k3_rlsub_1(U_6236,U_6233,U_6235)
| ~ m1_subset_1(U_6233,u1_struct_0(U_6236))
| ~ sP1101(U_6234,U_6235,U_6236,U_6233) ),
inference(clausify,[status(thm)],[f_2398_4]) ).
cnf(f_2398_8,plain,
( m1_subset_1(sK773(U_6236,U_6235,U_6234),u1_struct_0(U_6236))
| ~ sP1100(U_6234,U_6235,U_6236) ),
inference(clausify,[status(thm)],[f_2398_4]) ).
cnf(f_2398_9,plain,
( U_6234 = k3_rlsub_1(U_6236,sK773(U_6236,U_6235,U_6234),U_6235)
| ~ sP1100(U_6234,U_6235,U_6236) ),
inference(clausify,[status(thm)],[f_2398_4]) ).
fof(f_2399_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t55_rlsub_1]) ).
fof(f_2399_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2399_1]) ).
cnf(f_2399_3,plain,
$true,
inference(clausify,[status(thm)],[f_2399_2]) ).
fof(f_2400_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_rlsub_1]) ).
fof(f_2400_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2400_1]) ).
cnf(f_2400_3,plain,
$true,
inference(clausify,[status(thm)],[f_2400_2]) ).
fof(f_2401_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_rlsub_1]) ).
fof(f_2401_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2401_1]) ).
cnf(f_2401_3,plain,
$true,
inference(clausify,[status(thm)],[f_2401_2]) ).
fof(f_2402_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))
| ~ r1_rlvect_1(C,B) )
& ( r1_rlvect_1(C,B)
| ~ r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C)) ) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t58_rlsub_1]) ).
fof(f_2402_2,plain,
! [U_6239] :
( ! [U_6238] :
( ! [U_6237] :
( ( ( r2_hidden(k1_rlvect_1(U_6239),k3_rlsub_1(U_6239,U_6238,U_6237))
| ~ r1_rlvect_1(U_6237,U_6238) )
& ( r1_rlvect_1(U_6237,U_6238)
| ~ r2_hidden(k1_rlvect_1(U_6239),k3_rlsub_1(U_6239,U_6238,U_6237)) ) )
| ~ m1_rlsub_1(U_6237,U_6239) )
| ~ m1_subset_1(U_6238,u1_struct_0(U_6239)) )
| ~ l2_rlvect_1(U_6239)
| ~ v7_rlvect_1(U_6239)
| ~ v6_rlvect_1(U_6239)
| ~ v5_rlvect_1(U_6239)
| ~ v4_rlvect_1(U_6239)
| ~ v3_rlvect_1(U_6239)
| v3_struct_0(U_6239) ),
inference(variable_rename,[status(thm)],[f_2402_1]) ).
fof(f_2402_3,plain,
( ! [U_6237,U_6239,U_6238] :
( r2_hidden(k1_rlvect_1(U_6239),k3_rlsub_1(U_6239,U_6238,U_6237))
| ~ r1_rlvect_1(U_6237,U_6238)
| ~ sP1102(U_6237,U_6239,U_6238) )
& ! [U_6237,U_6239,U_6238] :
( r1_rlvect_1(U_6237,U_6238)
| ~ r2_hidden(k1_rlvect_1(U_6239),k3_rlsub_1(U_6239,U_6238,U_6237))
| ~ sP1102(U_6237,U_6239,U_6238) )
& ! [U_6237,U_6239,U_6238] :
( sP1102(U_6237,U_6239,U_6238)
| ~ m1_rlsub_1(U_6237,U_6239)
| ~ m1_subset_1(U_6238,u1_struct_0(U_6239))
| ~ l2_rlvect_1(U_6239)
| ~ v7_rlvect_1(U_6239)
| ~ v6_rlvect_1(U_6239)
| ~ v5_rlvect_1(U_6239)
| ~ v4_rlvect_1(U_6239)
| ~ v3_rlvect_1(U_6239)
| v3_struct_0(U_6239) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1102])],[f_2402_2]) ).
cnf(f_2402_4,plain,
( sP1102(U_6237,U_6239,U_6238)
| ~ m1_rlsub_1(U_6237,U_6239)
| ~ m1_subset_1(U_6238,u1_struct_0(U_6239))
| ~ l2_rlvect_1(U_6239)
| ~ v7_rlvect_1(U_6239)
| ~ v6_rlvect_1(U_6239)
| ~ v5_rlvect_1(U_6239)
| ~ v4_rlvect_1(U_6239)
| ~ v3_rlvect_1(U_6239)
| v3_struct_0(U_6239) ),
inference(clausify,[status(thm)],[f_2402_3]) ).
cnf(f_2402_5,plain,
( r1_rlvect_1(U_6237,U_6238)
| ~ r2_hidden(k1_rlvect_1(U_6239),k3_rlsub_1(U_6239,U_6238,U_6237))
| ~ sP1102(U_6237,U_6239,U_6238) ),
inference(clausify,[status(thm)],[f_2402_3]) ).
cnf(f_2402_6,plain,
( r2_hidden(k1_rlvect_1(U_6239),k3_rlsub_1(U_6239,U_6238,U_6237))
| ~ r1_rlvect_1(U_6237,U_6238)
| ~ sP1102(U_6237,U_6239,U_6238) ),
inference(clausify,[status(thm)],[f_2402_3]) ).
fof(f_2403_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(B,k3_rlsub_1(A,B,C))
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_rlsub_1]) ).
fof(f_2403_2,plain,
! [U_6242] :
( ! [U_6241] :
( ! [U_6240] :
( r2_hidden(U_6241,k3_rlsub_1(U_6242,U_6241,U_6240))
| ~ m1_rlsub_1(U_6240,U_6242) )
| ~ m1_subset_1(U_6241,u1_struct_0(U_6242)) )
| ~ l2_rlvect_1(U_6242)
| ~ v7_rlvect_1(U_6242)
| ~ v6_rlvect_1(U_6242)
| ~ v5_rlvect_1(U_6242)
| ~ v4_rlvect_1(U_6242)
| ~ v3_rlvect_1(U_6242)
| v3_struct_0(U_6242) ),
inference(variable_rename,[status(thm)],[f_2403_1]) ).
fof(f_2403_3,plain,
! [U_6242,U_6241,U_6240] :
( r2_hidden(U_6241,k3_rlsub_1(U_6242,U_6241,U_6240))
| ~ m1_rlsub_1(U_6240,U_6242)
| ~ m1_subset_1(U_6241,u1_struct_0(U_6242))
| ~ l2_rlvect_1(U_6242)
| ~ v7_rlvect_1(U_6242)
| ~ v6_rlvect_1(U_6242)
| ~ v5_rlvect_1(U_6242)
| ~ v4_rlvect_1(U_6242)
| ~ v3_rlvect_1(U_6242)
| v3_struct_0(U_6242) ),
inference(definitional_conversion,[status(esa)],[f_2403_2]) ).
cnf(f_2403_4,plain,
( r2_hidden(U_6241,k3_rlsub_1(U_6242,U_6241,U_6240))
| ~ m1_rlsub_1(U_6240,U_6242)
| ~ m1_subset_1(U_6241,u1_struct_0(U_6242))
| ~ l2_rlvect_1(U_6242)
| ~ v7_rlvect_1(U_6242)
| ~ v6_rlvect_1(U_6242)
| ~ v5_rlvect_1(U_6242)
| ~ v4_rlvect_1(U_6242)
| ~ v3_rlvect_1(U_6242)
| v3_struct_0(U_6242) ),
inference(clausify,[status(thm)],[f_2403_3]) ).
fof(f_2404_1,plain,
! [A] :
( ! [B] :
( k3_rlsub_1(A,k1_rlvect_1(A),B) = u1_struct_0(B)
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t60_rlsub_1]) ).
fof(f_2404_2,plain,
! [U_6244] :
( ! [U_6243] :
( k3_rlsub_1(U_6244,k1_rlvect_1(U_6244),U_6243) = u1_struct_0(U_6243)
| ~ m1_rlsub_1(U_6243,U_6244) )
| ~ l2_rlvect_1(U_6244)
| ~ v7_rlvect_1(U_6244)
| ~ v6_rlvect_1(U_6244)
| ~ v5_rlvect_1(U_6244)
| ~ v4_rlvect_1(U_6244)
| ~ v3_rlvect_1(U_6244)
| v3_struct_0(U_6244) ),
inference(variable_rename,[status(thm)],[f_2404_1]) ).
fof(f_2404_3,plain,
! [U_6244,U_6243] :
( k3_rlsub_1(U_6244,k1_rlvect_1(U_6244),U_6243) = u1_struct_0(U_6243)
| ~ m1_rlsub_1(U_6243,U_6244)
| ~ l2_rlvect_1(U_6244)
| ~ v7_rlvect_1(U_6244)
| ~ v6_rlvect_1(U_6244)
| ~ v5_rlvect_1(U_6244)
| ~ v4_rlvect_1(U_6244)
| ~ v3_rlvect_1(U_6244)
| v3_struct_0(U_6244) ),
inference(definitional_conversion,[status(esa)],[f_2404_2]) ).
cnf(f_2404_4,plain,
( k3_rlsub_1(U_6244,k1_rlvect_1(U_6244),U_6243) = u1_struct_0(U_6243)
| ~ m1_rlsub_1(U_6243,U_6244)
| ~ l2_rlvect_1(U_6244)
| ~ v7_rlvect_1(U_6244)
| ~ v6_rlvect_1(U_6244)
| ~ v5_rlvect_1(U_6244)
| ~ v4_rlvect_1(U_6244)
| ~ v3_rlvect_1(U_6244)
| v3_struct_0(U_6244) ),
inference(clausify,[status(thm)],[f_2404_3]) ).
fof(f_2405_1,plain,
! [A] :
( ! [B] :
( k3_rlsub_1(A,B,k1_rlsub_1(A)) = k1_struct_0(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t61_rlsub_1]) ).
fof(f_2405_2,plain,
! [U_6246] :
( ! [U_6245] :
( k3_rlsub_1(U_6246,U_6245,k1_rlsub_1(U_6246)) = k1_struct_0(U_6246,U_6245)
| ~ m1_subset_1(U_6245,u1_struct_0(U_6246)) )
| ~ l2_rlvect_1(U_6246)
| ~ v7_rlvect_1(U_6246)
| ~ v6_rlvect_1(U_6246)
| ~ v5_rlvect_1(U_6246)
| ~ v4_rlvect_1(U_6246)
| ~ v3_rlvect_1(U_6246)
| v3_struct_0(U_6246) ),
inference(variable_rename,[status(thm)],[f_2405_1]) ).
fof(f_2405_3,plain,
! [U_6245,U_6246] :
( k3_rlsub_1(U_6246,U_6245,k1_rlsub_1(U_6246)) = k1_struct_0(U_6246,U_6245)
| ~ m1_subset_1(U_6245,u1_struct_0(U_6246))
| ~ l2_rlvect_1(U_6246)
| ~ v7_rlvect_1(U_6246)
| ~ v6_rlvect_1(U_6246)
| ~ v5_rlvect_1(U_6246)
| ~ v4_rlvect_1(U_6246)
| ~ v3_rlvect_1(U_6246)
| v3_struct_0(U_6246) ),
inference(definitional_conversion,[status(esa)],[f_2405_2]) ).
cnf(f_2405_4,plain,
( k3_rlsub_1(U_6246,U_6245,k1_rlsub_1(U_6246)) = k1_struct_0(U_6246,U_6245)
| ~ m1_subset_1(U_6245,u1_struct_0(U_6246))
| ~ l2_rlvect_1(U_6246)
| ~ v7_rlvect_1(U_6246)
| ~ v6_rlvect_1(U_6246)
| ~ v5_rlvect_1(U_6246)
| ~ v4_rlvect_1(U_6246)
| ~ v3_rlvect_1(U_6246)
| v3_struct_0(U_6246) ),
inference(clausify,[status(thm)],[f_2405_3]) ).
fof(f_2406_1,plain,
! [A] :
( ! [B] :
( k3_rlsub_1(A,B,k2_rlsub_1(A)) = u1_struct_0(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t62_rlsub_1]) ).
fof(f_2406_2,plain,
! [U_6248] :
( ! [U_6247] :
( k3_rlsub_1(U_6248,U_6247,k2_rlsub_1(U_6248)) = u1_struct_0(U_6248)
| ~ m1_subset_1(U_6247,u1_struct_0(U_6248)) )
| ~ l2_rlvect_1(U_6248)
| ~ v7_rlvect_1(U_6248)
| ~ v6_rlvect_1(U_6248)
| ~ v5_rlvect_1(U_6248)
| ~ v4_rlvect_1(U_6248)
| ~ v3_rlvect_1(U_6248)
| v3_struct_0(U_6248) ),
inference(variable_rename,[status(thm)],[f_2406_1]) ).
fof(f_2406_3,plain,
! [U_6247,U_6248] :
( k3_rlsub_1(U_6248,U_6247,k2_rlsub_1(U_6248)) = u1_struct_0(U_6248)
| ~ m1_subset_1(U_6247,u1_struct_0(U_6248))
| ~ l2_rlvect_1(U_6248)
| ~ v7_rlvect_1(U_6248)
| ~ v6_rlvect_1(U_6248)
| ~ v5_rlvect_1(U_6248)
| ~ v4_rlvect_1(U_6248)
| ~ v3_rlvect_1(U_6248)
| v3_struct_0(U_6248) ),
inference(definitional_conversion,[status(esa)],[f_2406_2]) ).
cnf(f_2406_4,plain,
( k3_rlsub_1(U_6248,U_6247,k2_rlsub_1(U_6248)) = u1_struct_0(U_6248)
| ~ m1_subset_1(U_6247,u1_struct_0(U_6248))
| ~ l2_rlvect_1(U_6248)
| ~ v7_rlvect_1(U_6248)
| ~ v6_rlvect_1(U_6248)
| ~ v5_rlvect_1(U_6248)
| ~ v4_rlvect_1(U_6248)
| ~ v3_rlvect_1(U_6248)
| v3_struct_0(U_6248) ),
inference(clausify,[status(thm)],[f_2406_3]) ).
fof(f_2407_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))
| k3_rlsub_1(A,B,C) != u1_struct_0(C) )
& ( k3_rlsub_1(A,B,C) = u1_struct_0(C)
| ~ r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C)) ) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t63_rlsub_1]) ).
fof(f_2407_2,plain,
! [U_6251] :
( ! [U_6250] :
( ! [U_6249] :
( ( ( r2_hidden(k1_rlvect_1(U_6251),k3_rlsub_1(U_6251,U_6250,U_6249))
| k3_rlsub_1(U_6251,U_6250,U_6249) != u1_struct_0(U_6249) )
& ( k3_rlsub_1(U_6251,U_6250,U_6249) = u1_struct_0(U_6249)
| ~ r2_hidden(k1_rlvect_1(U_6251),k3_rlsub_1(U_6251,U_6250,U_6249)) ) )
| ~ m1_rlsub_1(U_6249,U_6251) )
| ~ m1_subset_1(U_6250,u1_struct_0(U_6251)) )
| ~ l2_rlvect_1(U_6251)
| ~ v7_rlvect_1(U_6251)
| ~ v6_rlvect_1(U_6251)
| ~ v5_rlvect_1(U_6251)
| ~ v4_rlvect_1(U_6251)
| ~ v3_rlvect_1(U_6251)
| v3_struct_0(U_6251) ),
inference(variable_rename,[status(thm)],[f_2407_1]) ).
fof(f_2407_3,plain,
( ! [U_6249,U_6250,U_6251] :
( r2_hidden(k1_rlvect_1(U_6251),k3_rlsub_1(U_6251,U_6250,U_6249))
| k3_rlsub_1(U_6251,U_6250,U_6249) != u1_struct_0(U_6249)
| ~ sP1103(U_6249,U_6250,U_6251) )
& ! [U_6249,U_6250,U_6251] :
( k3_rlsub_1(U_6251,U_6250,U_6249) = u1_struct_0(U_6249)
| ~ r2_hidden(k1_rlvect_1(U_6251),k3_rlsub_1(U_6251,U_6250,U_6249))
| ~ sP1103(U_6249,U_6250,U_6251) )
& ! [U_6249,U_6250,U_6251] :
( sP1103(U_6249,U_6250,U_6251)
| ~ m1_rlsub_1(U_6249,U_6251)
| ~ m1_subset_1(U_6250,u1_struct_0(U_6251))
| ~ l2_rlvect_1(U_6251)
| ~ v7_rlvect_1(U_6251)
| ~ v6_rlvect_1(U_6251)
| ~ v5_rlvect_1(U_6251)
| ~ v4_rlvect_1(U_6251)
| ~ v3_rlvect_1(U_6251)
| v3_struct_0(U_6251) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1103])],[f_2407_2]) ).
cnf(f_2407_4,plain,
( sP1103(U_6249,U_6250,U_6251)
| ~ m1_rlsub_1(U_6249,U_6251)
| ~ m1_subset_1(U_6250,u1_struct_0(U_6251))
| ~ l2_rlvect_1(U_6251)
| ~ v7_rlvect_1(U_6251)
| ~ v6_rlvect_1(U_6251)
| ~ v5_rlvect_1(U_6251)
| ~ v4_rlvect_1(U_6251)
| ~ v3_rlvect_1(U_6251)
| v3_struct_0(U_6251) ),
inference(clausify,[status(thm)],[f_2407_3]) ).
cnf(f_2407_5,plain,
( k3_rlsub_1(U_6251,U_6250,U_6249) = u1_struct_0(U_6249)
| ~ r2_hidden(k1_rlvect_1(U_6251),k3_rlsub_1(U_6251,U_6250,U_6249))
| ~ sP1103(U_6249,U_6250,U_6251) ),
inference(clausify,[status(thm)],[f_2407_3]) ).
cnf(f_2407_6,plain,
( r2_hidden(k1_rlvect_1(U_6251),k3_rlsub_1(U_6251,U_6250,U_6249))
| k3_rlsub_1(U_6251,U_6250,U_6249) != u1_struct_0(U_6249)
| ~ sP1103(U_6249,U_6250,U_6251) ),
inference(clausify,[status(thm)],[f_2407_3]) ).
fof(f_2408_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r1_rlvect_1(C,B)
| k3_rlsub_1(A,B,C) != u1_struct_0(C) )
& ( k3_rlsub_1(A,B,C) = u1_struct_0(C)
| ~ r1_rlvect_1(C,B) ) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t64_rlsub_1]) ).
fof(f_2408_2,plain,
! [U_6254] :
( ! [U_6253] :
( ! [U_6252] :
( ( ( r1_rlvect_1(U_6252,U_6253)
| k3_rlsub_1(U_6254,U_6253,U_6252) != u1_struct_0(U_6252) )
& ( k3_rlsub_1(U_6254,U_6253,U_6252) = u1_struct_0(U_6252)
| ~ r1_rlvect_1(U_6252,U_6253) ) )
| ~ m1_rlsub_1(U_6252,U_6254) )
| ~ m1_subset_1(U_6253,u1_struct_0(U_6254)) )
| ~ l2_rlvect_1(U_6254)
| ~ v7_rlvect_1(U_6254)
| ~ v6_rlvect_1(U_6254)
| ~ v5_rlvect_1(U_6254)
| ~ v4_rlvect_1(U_6254)
| ~ v3_rlvect_1(U_6254)
| v3_struct_0(U_6254) ),
inference(variable_rename,[status(thm)],[f_2408_1]) ).
fof(f_2408_3,plain,
( ! [U_6254,U_6252,U_6253] :
( r1_rlvect_1(U_6252,U_6253)
| k3_rlsub_1(U_6254,U_6253,U_6252) != u1_struct_0(U_6252)
| ~ sP1104(U_6254,U_6252,U_6253) )
& ! [U_6254,U_6252,U_6253] :
( k3_rlsub_1(U_6254,U_6253,U_6252) = u1_struct_0(U_6252)
| ~ r1_rlvect_1(U_6252,U_6253)
| ~ sP1104(U_6254,U_6252,U_6253) )
& ! [U_6254,U_6252,U_6253] :
( sP1104(U_6254,U_6252,U_6253)
| ~ m1_rlsub_1(U_6252,U_6254)
| ~ m1_subset_1(U_6253,u1_struct_0(U_6254))
| ~ l2_rlvect_1(U_6254)
| ~ v7_rlvect_1(U_6254)
| ~ v6_rlvect_1(U_6254)
| ~ v5_rlvect_1(U_6254)
| ~ v4_rlvect_1(U_6254)
| ~ v3_rlvect_1(U_6254)
| v3_struct_0(U_6254) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1104])],[f_2408_2]) ).
cnf(f_2408_4,plain,
( sP1104(U_6254,U_6252,U_6253)
| ~ m1_rlsub_1(U_6252,U_6254)
| ~ m1_subset_1(U_6253,u1_struct_0(U_6254))
| ~ l2_rlvect_1(U_6254)
| ~ v7_rlvect_1(U_6254)
| ~ v6_rlvect_1(U_6254)
| ~ v5_rlvect_1(U_6254)
| ~ v4_rlvect_1(U_6254)
| ~ v3_rlvect_1(U_6254)
| v3_struct_0(U_6254) ),
inference(clausify,[status(thm)],[f_2408_3]) ).
cnf(f_2408_5,plain,
( k3_rlsub_1(U_6254,U_6253,U_6252) = u1_struct_0(U_6252)
| ~ r1_rlvect_1(U_6252,U_6253)
| ~ sP1104(U_6254,U_6252,U_6253) ),
inference(clausify,[status(thm)],[f_2408_3]) ).
cnf(f_2408_6,plain,
( r1_rlvect_1(U_6252,U_6253)
| k3_rlsub_1(U_6254,U_6253,U_6252) != u1_struct_0(U_6252)
| ~ sP1104(U_6254,U_6252,U_6253) ),
inference(clausify,[status(thm)],[f_2408_3]) ).
fof(f_2409_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) = u1_struct_0(D)
| ~ r1_rlvect_1(D,B)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t65_rlsub_1]) ).
fof(f_2409_2,plain,
! [U_6258] :
( ! [U_6257] :
( ! [U_6256] :
( ! [U_6255] :
( k3_rlsub_1(U_6258,k3_rlvect_1(U_6258,U_6257,U_6256),U_6255) = u1_struct_0(U_6255)
| ~ r1_rlvect_1(U_6255,U_6257)
| ~ m1_rlsub_1(U_6255,U_6258) )
| ~ m1_subset_1(U_6256,k1_numbers) )
| ~ m1_subset_1(U_6257,u1_struct_0(U_6258)) )
| ~ l2_rlvect_1(U_6258)
| ~ v7_rlvect_1(U_6258)
| ~ v6_rlvect_1(U_6258)
| ~ v5_rlvect_1(U_6258)
| ~ v4_rlvect_1(U_6258)
| ~ v3_rlvect_1(U_6258)
| v3_struct_0(U_6258) ),
inference(variable_rename,[status(thm)],[f_2409_1]) ).
fof(f_2409_3,plain,
! [U_6258,U_6256,U_6255,U_6257] :
( k3_rlsub_1(U_6258,k3_rlvect_1(U_6258,U_6257,U_6256),U_6255) = u1_struct_0(U_6255)
| ~ r1_rlvect_1(U_6255,U_6257)
| ~ m1_rlsub_1(U_6255,U_6258)
| ~ m1_subset_1(U_6256,k1_numbers)
| ~ m1_subset_1(U_6257,u1_struct_0(U_6258))
| ~ l2_rlvect_1(U_6258)
| ~ v7_rlvect_1(U_6258)
| ~ v6_rlvect_1(U_6258)
| ~ v5_rlvect_1(U_6258)
| ~ v4_rlvect_1(U_6258)
| ~ v3_rlvect_1(U_6258)
| v3_struct_0(U_6258) ),
inference(definitional_conversion,[status(esa)],[f_2409_2]) ).
cnf(f_2409_4,plain,
( k3_rlsub_1(U_6258,k3_rlvect_1(U_6258,U_6257,U_6256),U_6255) = u1_struct_0(U_6255)
| ~ r1_rlvect_1(U_6255,U_6257)
| ~ m1_rlsub_1(U_6255,U_6258)
| ~ m1_subset_1(U_6256,k1_numbers)
| ~ m1_subset_1(U_6257,u1_struct_0(U_6258))
| ~ l2_rlvect_1(U_6258)
| ~ v7_rlvect_1(U_6258)
| ~ v6_rlvect_1(U_6258)
| ~ v5_rlvect_1(U_6258)
| ~ v4_rlvect_1(U_6258)
| ~ v3_rlvect_1(U_6258)
| v3_struct_0(U_6258) ),
inference(clausify,[status(thm)],[f_2409_3]) ).
fof(f_2410_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,B)
| C = np__0
| k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) != u1_struct_0(D)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t66_rlsub_1]) ).
fof(f_2410_2,plain,
! [U_6262] :
( ! [U_6261] :
( ! [U_6260] :
( ! [U_6259] :
( r1_rlvect_1(U_6259,U_6261)
| U_6260 = np__0
| k3_rlsub_1(U_6262,k3_rlvect_1(U_6262,U_6261,U_6260),U_6259) != u1_struct_0(U_6259)
| ~ m1_rlsub_1(U_6259,U_6262) )
| ~ m1_subset_1(U_6260,k1_numbers) )
| ~ m1_subset_1(U_6261,u1_struct_0(U_6262)) )
| ~ l2_rlvect_1(U_6262)
| ~ v7_rlvect_1(U_6262)
| ~ v6_rlvect_1(U_6262)
| ~ v5_rlvect_1(U_6262)
| ~ v4_rlvect_1(U_6262)
| ~ v3_rlvect_1(U_6262)
| v3_struct_0(U_6262) ),
inference(variable_rename,[status(thm)],[f_2410_1]) ).
fof(f_2410_3,plain,
! [U_6260,U_6261,U_6262,U_6259] :
( r1_rlvect_1(U_6259,U_6261)
| U_6260 = np__0
| k3_rlsub_1(U_6262,k3_rlvect_1(U_6262,U_6261,U_6260),U_6259) != u1_struct_0(U_6259)
| ~ m1_rlsub_1(U_6259,U_6262)
| ~ m1_subset_1(U_6260,k1_numbers)
| ~ m1_subset_1(U_6261,u1_struct_0(U_6262))
| ~ l2_rlvect_1(U_6262)
| ~ v7_rlvect_1(U_6262)
| ~ v6_rlvect_1(U_6262)
| ~ v5_rlvect_1(U_6262)
| ~ v4_rlvect_1(U_6262)
| ~ v3_rlvect_1(U_6262)
| v3_struct_0(U_6262) ),
inference(definitional_conversion,[status(esa)],[f_2410_2]) ).
cnf(f_2410_4,plain,
( r1_rlvect_1(U_6259,U_6261)
| U_6260 = np__0
| k3_rlsub_1(U_6262,k3_rlvect_1(U_6262,U_6261,U_6260),U_6259) != u1_struct_0(U_6259)
| ~ m1_rlsub_1(U_6259,U_6262)
| ~ m1_subset_1(U_6260,k1_numbers)
| ~ m1_subset_1(U_6261,u1_struct_0(U_6262))
| ~ l2_rlvect_1(U_6262)
| ~ v7_rlvect_1(U_6262)
| ~ v6_rlvect_1(U_6262)
| ~ v5_rlvect_1(U_6262)
| ~ v4_rlvect_1(U_6262)
| ~ v3_rlvect_1(U_6262)
| v3_struct_0(U_6262) ),
inference(clausify,[status(thm)],[f_2410_3]) ).
fof(f_2411_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r1_rlvect_1(C,B)
| k3_rlsub_1(A,k5_rlvect_1(A,B),C) != u1_struct_0(C) )
& ( k3_rlsub_1(A,k5_rlvect_1(A,B),C) = u1_struct_0(C)
| ~ r1_rlvect_1(C,B) ) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_rlsub_1]) ).
fof(f_2411_2,plain,
! [U_6265] :
( ! [U_6264] :
( ! [U_6263] :
( ( ( r1_rlvect_1(U_6263,U_6264)
| k3_rlsub_1(U_6265,k5_rlvect_1(U_6265,U_6264),U_6263) != u1_struct_0(U_6263) )
& ( k3_rlsub_1(U_6265,k5_rlvect_1(U_6265,U_6264),U_6263) = u1_struct_0(U_6263)
| ~ r1_rlvect_1(U_6263,U_6264) ) )
| ~ m1_rlsub_1(U_6263,U_6265) )
| ~ m1_subset_1(U_6264,u1_struct_0(U_6265)) )
| ~ l2_rlvect_1(U_6265)
| ~ v7_rlvect_1(U_6265)
| ~ v6_rlvect_1(U_6265)
| ~ v5_rlvect_1(U_6265)
| ~ v4_rlvect_1(U_6265)
| ~ v3_rlvect_1(U_6265)
| v3_struct_0(U_6265) ),
inference(variable_rename,[status(thm)],[f_2411_1]) ).
fof(f_2411_3,plain,
( ! [U_6263,U_6265,U_6264] :
( r1_rlvect_1(U_6263,U_6264)
| k3_rlsub_1(U_6265,k5_rlvect_1(U_6265,U_6264),U_6263) != u1_struct_0(U_6263)
| ~ sP1105(U_6263,U_6265,U_6264) )
& ! [U_6263,U_6265,U_6264] :
( k3_rlsub_1(U_6265,k5_rlvect_1(U_6265,U_6264),U_6263) = u1_struct_0(U_6263)
| ~ r1_rlvect_1(U_6263,U_6264)
| ~ sP1105(U_6263,U_6265,U_6264) )
& ! [U_6263,U_6265,U_6264] :
( sP1105(U_6263,U_6265,U_6264)
| ~ m1_rlsub_1(U_6263,U_6265)
| ~ m1_subset_1(U_6264,u1_struct_0(U_6265))
| ~ l2_rlvect_1(U_6265)
| ~ v7_rlvect_1(U_6265)
| ~ v6_rlvect_1(U_6265)
| ~ v5_rlvect_1(U_6265)
| ~ v4_rlvect_1(U_6265)
| ~ v3_rlvect_1(U_6265)
| v3_struct_0(U_6265) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1105])],[f_2411_2]) ).
cnf(f_2411_4,plain,
( sP1105(U_6263,U_6265,U_6264)
| ~ m1_rlsub_1(U_6263,U_6265)
| ~ m1_subset_1(U_6264,u1_struct_0(U_6265))
| ~ l2_rlvect_1(U_6265)
| ~ v7_rlvect_1(U_6265)
| ~ v6_rlvect_1(U_6265)
| ~ v5_rlvect_1(U_6265)
| ~ v4_rlvect_1(U_6265)
| ~ v3_rlvect_1(U_6265)
| v3_struct_0(U_6265) ),
inference(clausify,[status(thm)],[f_2411_3]) ).
cnf(f_2411_5,plain,
( k3_rlsub_1(U_6265,k5_rlvect_1(U_6265,U_6264),U_6263) = u1_struct_0(U_6263)
| ~ r1_rlvect_1(U_6263,U_6264)
| ~ sP1105(U_6263,U_6265,U_6264) ),
inference(clausify,[status(thm)],[f_2411_3]) ).
cnf(f_2411_6,plain,
( r1_rlvect_1(U_6263,U_6264)
| k3_rlsub_1(U_6265,k5_rlvect_1(U_6265,U_6264),U_6263) != u1_struct_0(U_6263)
| ~ sP1105(U_6263,U_6265,U_6264) ),
inference(clausify,[status(thm)],[f_2411_3]) ).
fof(f_2412_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_rlvect_1(D,B)
| k3_rlsub_1(A,C,D) != k3_rlsub_1(A,k4_rlvect_1(A,C,B),D) )
& ( k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k4_rlvect_1(A,C,B),D)
| ~ r1_rlvect_1(D,B) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_rlsub_1]) ).
fof(f_2412_2,plain,
! [U_6269] :
( ! [U_6268] :
( ! [U_6267] :
( ! [U_6266] :
( ( ( r1_rlvect_1(U_6266,U_6268)
| k3_rlsub_1(U_6269,U_6267,U_6266) != k3_rlsub_1(U_6269,k4_rlvect_1(U_6269,U_6267,U_6268),U_6266) )
& ( k3_rlsub_1(U_6269,U_6267,U_6266) = k3_rlsub_1(U_6269,k4_rlvect_1(U_6269,U_6267,U_6268),U_6266)
| ~ r1_rlvect_1(U_6266,U_6268) ) )
| ~ m1_rlsub_1(U_6266,U_6269) )
| ~ m1_subset_1(U_6267,u1_struct_0(U_6269)) )
| ~ m1_subset_1(U_6268,u1_struct_0(U_6269)) )
| ~ l2_rlvect_1(U_6269)
| ~ v7_rlvect_1(U_6269)
| ~ v6_rlvect_1(U_6269)
| ~ v5_rlvect_1(U_6269)
| ~ v4_rlvect_1(U_6269)
| ~ v3_rlvect_1(U_6269)
| v3_struct_0(U_6269) ),
inference(variable_rename,[status(thm)],[f_2412_1]) ).
fof(f_2412_3,plain,
( ! [U_6266,U_6269,U_6268,U_6267] :
( r1_rlvect_1(U_6266,U_6268)
| k3_rlsub_1(U_6269,U_6267,U_6266) != k3_rlsub_1(U_6269,k4_rlvect_1(U_6269,U_6267,U_6268),U_6266)
| ~ sP1106(U_6266,U_6269,U_6268,U_6267) )
& ! [U_6266,U_6269,U_6268,U_6267] :
( k3_rlsub_1(U_6269,U_6267,U_6266) = k3_rlsub_1(U_6269,k4_rlvect_1(U_6269,U_6267,U_6268),U_6266)
| ~ r1_rlvect_1(U_6266,U_6268)
| ~ sP1106(U_6266,U_6269,U_6268,U_6267) )
& ! [U_6266,U_6269,U_6268,U_6267] :
( sP1106(U_6266,U_6269,U_6268,U_6267)
| ~ m1_rlsub_1(U_6266,U_6269)
| ~ m1_subset_1(U_6267,u1_struct_0(U_6269))
| ~ m1_subset_1(U_6268,u1_struct_0(U_6269))
| ~ l2_rlvect_1(U_6269)
| ~ v7_rlvect_1(U_6269)
| ~ v6_rlvect_1(U_6269)
| ~ v5_rlvect_1(U_6269)
| ~ v4_rlvect_1(U_6269)
| ~ v3_rlvect_1(U_6269)
| v3_struct_0(U_6269) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1106])],[f_2412_2]) ).
cnf(f_2412_4,plain,
( sP1106(U_6266,U_6269,U_6268,U_6267)
| ~ m1_rlsub_1(U_6266,U_6269)
| ~ m1_subset_1(U_6267,u1_struct_0(U_6269))
| ~ m1_subset_1(U_6268,u1_struct_0(U_6269))
| ~ l2_rlvect_1(U_6269)
| ~ v7_rlvect_1(U_6269)
| ~ v6_rlvect_1(U_6269)
| ~ v5_rlvect_1(U_6269)
| ~ v4_rlvect_1(U_6269)
| ~ v3_rlvect_1(U_6269)
| v3_struct_0(U_6269) ),
inference(clausify,[status(thm)],[f_2412_3]) ).
cnf(f_2412_5,plain,
( k3_rlsub_1(U_6269,U_6267,U_6266) = k3_rlsub_1(U_6269,k4_rlvect_1(U_6269,U_6267,U_6268),U_6266)
| ~ r1_rlvect_1(U_6266,U_6268)
| ~ sP1106(U_6266,U_6269,U_6268,U_6267) ),
inference(clausify,[status(thm)],[f_2412_3]) ).
cnf(f_2412_6,plain,
( r1_rlvect_1(U_6266,U_6268)
| k3_rlsub_1(U_6269,U_6267,U_6266) != k3_rlsub_1(U_6269,k4_rlvect_1(U_6269,U_6267,U_6268),U_6266)
| ~ sP1106(U_6266,U_6269,U_6268,U_6267) ),
inference(clausify,[status(thm)],[f_2412_3]) ).
fof(f_2413_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_rlvect_1(D,B)
| k3_rlsub_1(A,C,D) != k3_rlsub_1(A,k6_rlvect_1(A,C,B),D) )
& ( k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k6_rlvect_1(A,C,B),D)
| ~ r1_rlvect_1(D,B) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t69_rlsub_1]) ).
fof(f_2413_2,plain,
! [U_6273] :
( ! [U_6272] :
( ! [U_6271] :
( ! [U_6270] :
( ( ( r1_rlvect_1(U_6270,U_6272)
| k3_rlsub_1(U_6273,U_6271,U_6270) != k3_rlsub_1(U_6273,k6_rlvect_1(U_6273,U_6271,U_6272),U_6270) )
& ( k3_rlsub_1(U_6273,U_6271,U_6270) = k3_rlsub_1(U_6273,k6_rlvect_1(U_6273,U_6271,U_6272),U_6270)
| ~ r1_rlvect_1(U_6270,U_6272) ) )
| ~ m1_rlsub_1(U_6270,U_6273) )
| ~ m1_subset_1(U_6271,u1_struct_0(U_6273)) )
| ~ m1_subset_1(U_6272,u1_struct_0(U_6273)) )
| ~ l2_rlvect_1(U_6273)
| ~ v7_rlvect_1(U_6273)
| ~ v6_rlvect_1(U_6273)
| ~ v5_rlvect_1(U_6273)
| ~ v4_rlvect_1(U_6273)
| ~ v3_rlvect_1(U_6273)
| v3_struct_0(U_6273) ),
inference(variable_rename,[status(thm)],[f_2413_1]) ).
fof(f_2413_3,plain,
( ! [U_6270,U_6272,U_6273,U_6271] :
( r1_rlvect_1(U_6270,U_6272)
| k3_rlsub_1(U_6273,U_6271,U_6270) != k3_rlsub_1(U_6273,k6_rlvect_1(U_6273,U_6271,U_6272),U_6270)
| ~ sP1107(U_6270,U_6272,U_6273,U_6271) )
& ! [U_6270,U_6272,U_6273,U_6271] :
( k3_rlsub_1(U_6273,U_6271,U_6270) = k3_rlsub_1(U_6273,k6_rlvect_1(U_6273,U_6271,U_6272),U_6270)
| ~ r1_rlvect_1(U_6270,U_6272)
| ~ sP1107(U_6270,U_6272,U_6273,U_6271) )
& ! [U_6270,U_6272,U_6273,U_6271] :
( sP1107(U_6270,U_6272,U_6273,U_6271)
| ~ m1_rlsub_1(U_6270,U_6273)
| ~ m1_subset_1(U_6271,u1_struct_0(U_6273))
| ~ m1_subset_1(U_6272,u1_struct_0(U_6273))
| ~ l2_rlvect_1(U_6273)
| ~ v7_rlvect_1(U_6273)
| ~ v6_rlvect_1(U_6273)
| ~ v5_rlvect_1(U_6273)
| ~ v4_rlvect_1(U_6273)
| ~ v3_rlvect_1(U_6273)
| v3_struct_0(U_6273) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1107])],[f_2413_2]) ).
cnf(f_2413_4,plain,
( sP1107(U_6270,U_6272,U_6273,U_6271)
| ~ m1_rlsub_1(U_6270,U_6273)
| ~ m1_subset_1(U_6271,u1_struct_0(U_6273))
| ~ m1_subset_1(U_6272,u1_struct_0(U_6273))
| ~ l2_rlvect_1(U_6273)
| ~ v7_rlvect_1(U_6273)
| ~ v6_rlvect_1(U_6273)
| ~ v5_rlvect_1(U_6273)
| ~ v4_rlvect_1(U_6273)
| ~ v3_rlvect_1(U_6273)
| v3_struct_0(U_6273) ),
inference(clausify,[status(thm)],[f_2413_3]) ).
cnf(f_2413_5,plain,
( k3_rlsub_1(U_6273,U_6271,U_6270) = k3_rlsub_1(U_6273,k6_rlvect_1(U_6273,U_6271,U_6272),U_6270)
| ~ r1_rlvect_1(U_6270,U_6272)
| ~ sP1107(U_6270,U_6272,U_6273,U_6271) ),
inference(clausify,[status(thm)],[f_2413_3]) ).
cnf(f_2413_6,plain,
( r1_rlvect_1(U_6270,U_6272)
| k3_rlsub_1(U_6273,U_6271,U_6270) != k3_rlsub_1(U_6273,k6_rlvect_1(U_6273,U_6271,U_6272),U_6270)
| ~ sP1107(U_6270,U_6272,U_6273,U_6271) ),
inference(clausify,[status(thm)],[f_2413_3]) ).
fof(f_2414_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(B,k3_rlsub_1(A,C,D))
| k3_rlsub_1(A,C,D) != k3_rlsub_1(A,B,D) )
& ( k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D)
| ~ r2_hidden(B,k3_rlsub_1(A,C,D)) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t70_rlsub_1]) ).
fof(f_2414_2,plain,
! [U_6277] :
( ! [U_6276] :
( ! [U_6275] :
( ! [U_6274] :
( ( ( r2_hidden(U_6276,k3_rlsub_1(U_6277,U_6275,U_6274))
| k3_rlsub_1(U_6277,U_6275,U_6274) != k3_rlsub_1(U_6277,U_6276,U_6274) )
& ( k3_rlsub_1(U_6277,U_6275,U_6274) = k3_rlsub_1(U_6277,U_6276,U_6274)
| ~ r2_hidden(U_6276,k3_rlsub_1(U_6277,U_6275,U_6274)) ) )
| ~ m1_rlsub_1(U_6274,U_6277) )
| ~ m1_subset_1(U_6275,u1_struct_0(U_6277)) )
| ~ m1_subset_1(U_6276,u1_struct_0(U_6277)) )
| ~ l2_rlvect_1(U_6277)
| ~ v7_rlvect_1(U_6277)
| ~ v6_rlvect_1(U_6277)
| ~ v5_rlvect_1(U_6277)
| ~ v4_rlvect_1(U_6277)
| ~ v3_rlvect_1(U_6277)
| v3_struct_0(U_6277) ),
inference(variable_rename,[status(thm)],[f_2414_1]) ).
fof(f_2414_3,plain,
( ! [U_6277,U_6274,U_6276,U_6275] :
( r2_hidden(U_6276,k3_rlsub_1(U_6277,U_6275,U_6274))
| k3_rlsub_1(U_6277,U_6275,U_6274) != k3_rlsub_1(U_6277,U_6276,U_6274)
| ~ sP1108(U_6277,U_6274,U_6276,U_6275) )
& ! [U_6277,U_6274,U_6276,U_6275] :
( k3_rlsub_1(U_6277,U_6275,U_6274) = k3_rlsub_1(U_6277,U_6276,U_6274)
| ~ r2_hidden(U_6276,k3_rlsub_1(U_6277,U_6275,U_6274))
| ~ sP1108(U_6277,U_6274,U_6276,U_6275) )
& ! [U_6277,U_6274,U_6276,U_6275] :
( sP1108(U_6277,U_6274,U_6276,U_6275)
| ~ m1_rlsub_1(U_6274,U_6277)
| ~ m1_subset_1(U_6275,u1_struct_0(U_6277))
| ~ m1_subset_1(U_6276,u1_struct_0(U_6277))
| ~ l2_rlvect_1(U_6277)
| ~ v7_rlvect_1(U_6277)
| ~ v6_rlvect_1(U_6277)
| ~ v5_rlvect_1(U_6277)
| ~ v4_rlvect_1(U_6277)
| ~ v3_rlvect_1(U_6277)
| v3_struct_0(U_6277) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1108])],[f_2414_2]) ).
cnf(f_2414_4,plain,
( sP1108(U_6277,U_6274,U_6276,U_6275)
| ~ m1_rlsub_1(U_6274,U_6277)
| ~ m1_subset_1(U_6275,u1_struct_0(U_6277))
| ~ m1_subset_1(U_6276,u1_struct_0(U_6277))
| ~ l2_rlvect_1(U_6277)
| ~ v7_rlvect_1(U_6277)
| ~ v6_rlvect_1(U_6277)
| ~ v5_rlvect_1(U_6277)
| ~ v4_rlvect_1(U_6277)
| ~ v3_rlvect_1(U_6277)
| v3_struct_0(U_6277) ),
inference(clausify,[status(thm)],[f_2414_3]) ).
cnf(f_2414_5,plain,
( k3_rlsub_1(U_6277,U_6275,U_6274) = k3_rlsub_1(U_6277,U_6276,U_6274)
| ~ r2_hidden(U_6276,k3_rlsub_1(U_6277,U_6275,U_6274))
| ~ sP1108(U_6277,U_6274,U_6276,U_6275) ),
inference(clausify,[status(thm)],[f_2414_3]) ).
cnf(f_2414_6,plain,
( r2_hidden(U_6276,k3_rlsub_1(U_6277,U_6275,U_6274))
| k3_rlsub_1(U_6277,U_6275,U_6274) != k3_rlsub_1(U_6277,U_6276,U_6274)
| ~ sP1108(U_6277,U_6274,U_6276,U_6275) ),
inference(clausify,[status(thm)],[f_2414_3]) ).
fof(f_2415_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k3_rlsub_1(A,B,C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C)
| ~ r1_rlvect_1(C,B) )
& ( r1_rlvect_1(C,B)
| k3_rlsub_1(A,B,C) != k3_rlsub_1(A,k5_rlvect_1(A,B),C) ) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t71_rlsub_1]) ).
fof(f_2415_2,plain,
! [U_6280] :
( ! [U_6279] :
( ! [U_6278] :
( ( ( k3_rlsub_1(U_6280,U_6279,U_6278) = k3_rlsub_1(U_6280,k5_rlvect_1(U_6280,U_6279),U_6278)
| ~ r1_rlvect_1(U_6278,U_6279) )
& ( r1_rlvect_1(U_6278,U_6279)
| k3_rlsub_1(U_6280,U_6279,U_6278) != k3_rlsub_1(U_6280,k5_rlvect_1(U_6280,U_6279),U_6278) ) )
| ~ m1_rlsub_1(U_6278,U_6280) )
| ~ m1_subset_1(U_6279,u1_struct_0(U_6280)) )
| ~ l2_rlvect_1(U_6280)
| ~ v7_rlvect_1(U_6280)
| ~ v6_rlvect_1(U_6280)
| ~ v5_rlvect_1(U_6280)
| ~ v4_rlvect_1(U_6280)
| ~ v3_rlvect_1(U_6280)
| v3_struct_0(U_6280) ),
inference(variable_rename,[status(thm)],[f_2415_1]) ).
fof(f_2415_3,plain,
( ! [U_6280,U_6278,U_6279] :
( k3_rlsub_1(U_6280,U_6279,U_6278) = k3_rlsub_1(U_6280,k5_rlvect_1(U_6280,U_6279),U_6278)
| ~ r1_rlvect_1(U_6278,U_6279)
| ~ sP1109(U_6280,U_6278,U_6279) )
& ! [U_6280,U_6278,U_6279] :
( r1_rlvect_1(U_6278,U_6279)
| k3_rlsub_1(U_6280,U_6279,U_6278) != k3_rlsub_1(U_6280,k5_rlvect_1(U_6280,U_6279),U_6278)
| ~ sP1109(U_6280,U_6278,U_6279) )
& ! [U_6280,U_6278,U_6279] :
( sP1109(U_6280,U_6278,U_6279)
| ~ m1_rlsub_1(U_6278,U_6280)
| ~ m1_subset_1(U_6279,u1_struct_0(U_6280))
| ~ l2_rlvect_1(U_6280)
| ~ v7_rlvect_1(U_6280)
| ~ v6_rlvect_1(U_6280)
| ~ v5_rlvect_1(U_6280)
| ~ v4_rlvect_1(U_6280)
| ~ v3_rlvect_1(U_6280)
| v3_struct_0(U_6280) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1109])],[f_2415_2]) ).
cnf(f_2415_4,plain,
( sP1109(U_6280,U_6278,U_6279)
| ~ m1_rlsub_1(U_6278,U_6280)
| ~ m1_subset_1(U_6279,u1_struct_0(U_6280))
| ~ l2_rlvect_1(U_6280)
| ~ v7_rlvect_1(U_6280)
| ~ v6_rlvect_1(U_6280)
| ~ v5_rlvect_1(U_6280)
| ~ v4_rlvect_1(U_6280)
| ~ v3_rlvect_1(U_6280)
| v3_struct_0(U_6280) ),
inference(clausify,[status(thm)],[f_2415_3]) ).
cnf(f_2415_5,plain,
( r1_rlvect_1(U_6278,U_6279)
| k3_rlsub_1(U_6280,U_6279,U_6278) != k3_rlsub_1(U_6280,k5_rlvect_1(U_6280,U_6279),U_6278)
| ~ sP1109(U_6280,U_6278,U_6279) ),
inference(clausify,[status(thm)],[f_2415_3]) ).
cnf(f_2415_6,plain,
( k3_rlsub_1(U_6280,U_6279,U_6278) = k3_rlsub_1(U_6280,k5_rlvect_1(U_6280,U_6279),U_6278)
| ~ r1_rlvect_1(U_6278,U_6279)
| ~ sP1109(U_6280,U_6278,U_6279) ),
inference(clausify,[status(thm)],[f_2415_3]) ).
fof(f_2416_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k3_rlsub_1(A,C,E) = k3_rlsub_1(A,D,E)
| ~ r2_hidden(B,k3_rlsub_1(A,D,E))
| ~ r2_hidden(B,k3_rlsub_1(A,C,E))
| ~ m1_rlsub_1(E,A) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t72_rlsub_1]) ).
fof(f_2416_2,plain,
! [U_6285] :
( ! [U_6284] :
( ! [U_6283] :
( ! [U_6282] :
( ! [U_6281] :
( k3_rlsub_1(U_6285,U_6283,U_6281) = k3_rlsub_1(U_6285,U_6282,U_6281)
| ~ r2_hidden(U_6284,k3_rlsub_1(U_6285,U_6282,U_6281))
| ~ r2_hidden(U_6284,k3_rlsub_1(U_6285,U_6283,U_6281))
| ~ m1_rlsub_1(U_6281,U_6285) )
| ~ m1_subset_1(U_6282,u1_struct_0(U_6285)) )
| ~ m1_subset_1(U_6283,u1_struct_0(U_6285)) )
| ~ m1_subset_1(U_6284,u1_struct_0(U_6285)) )
| ~ l2_rlvect_1(U_6285)
| ~ v7_rlvect_1(U_6285)
| ~ v6_rlvect_1(U_6285)
| ~ v5_rlvect_1(U_6285)
| ~ v4_rlvect_1(U_6285)
| ~ v3_rlvect_1(U_6285)
| v3_struct_0(U_6285) ),
inference(variable_rename,[status(thm)],[f_2416_1]) ).
fof(f_2416_3,plain,
! [U_6282,U_6285,U_6284,U_6281,U_6283] :
( k3_rlsub_1(U_6285,U_6283,U_6281) = k3_rlsub_1(U_6285,U_6282,U_6281)
| ~ r2_hidden(U_6284,k3_rlsub_1(U_6285,U_6282,U_6281))
| ~ r2_hidden(U_6284,k3_rlsub_1(U_6285,U_6283,U_6281))
| ~ m1_rlsub_1(U_6281,U_6285)
| ~ m1_subset_1(U_6282,u1_struct_0(U_6285))
| ~ m1_subset_1(U_6283,u1_struct_0(U_6285))
| ~ m1_subset_1(U_6284,u1_struct_0(U_6285))
| ~ l2_rlvect_1(U_6285)
| ~ v7_rlvect_1(U_6285)
| ~ v6_rlvect_1(U_6285)
| ~ v5_rlvect_1(U_6285)
| ~ v4_rlvect_1(U_6285)
| ~ v3_rlvect_1(U_6285)
| v3_struct_0(U_6285) ),
inference(definitional_conversion,[status(esa)],[f_2416_2]) ).
cnf(f_2416_4,plain,
( k3_rlsub_1(U_6285,U_6283,U_6281) = k3_rlsub_1(U_6285,U_6282,U_6281)
| ~ r2_hidden(U_6284,k3_rlsub_1(U_6285,U_6282,U_6281))
| ~ r2_hidden(U_6284,k3_rlsub_1(U_6285,U_6283,U_6281))
| ~ m1_rlsub_1(U_6281,U_6285)
| ~ m1_subset_1(U_6282,u1_struct_0(U_6285))
| ~ m1_subset_1(U_6283,u1_struct_0(U_6285))
| ~ m1_subset_1(U_6284,u1_struct_0(U_6285))
| ~ l2_rlvect_1(U_6285)
| ~ v7_rlvect_1(U_6285)
| ~ v6_rlvect_1(U_6285)
| ~ v5_rlvect_1(U_6285)
| ~ v4_rlvect_1(U_6285)
| ~ v3_rlvect_1(U_6285)
| v3_struct_0(U_6285) ),
inference(clausify,[status(thm)],[f_2416_3]) ).
fof(f_2417_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,C)
| ~ r2_hidden(B,k3_rlsub_1(A,k5_rlvect_1(A,C),D))
| ~ r2_hidden(B,k3_rlsub_1(A,C,D))
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t73_rlsub_1]) ).
fof(f_2417_2,plain,
! [U_6289] :
( ! [U_6288] :
( ! [U_6287] :
( ! [U_6286] :
( r1_rlvect_1(U_6286,U_6287)
| ~ r2_hidden(U_6288,k3_rlsub_1(U_6289,k5_rlvect_1(U_6289,U_6287),U_6286))
| ~ r2_hidden(U_6288,k3_rlsub_1(U_6289,U_6287,U_6286))
| ~ m1_rlsub_1(U_6286,U_6289) )
| ~ m1_subset_1(U_6287,u1_struct_0(U_6289)) )
| ~ m1_subset_1(U_6288,u1_struct_0(U_6289)) )
| ~ l2_rlvect_1(U_6289)
| ~ v7_rlvect_1(U_6289)
| ~ v6_rlvect_1(U_6289)
| ~ v5_rlvect_1(U_6289)
| ~ v4_rlvect_1(U_6289)
| ~ v3_rlvect_1(U_6289)
| v3_struct_0(U_6289) ),
inference(variable_rename,[status(thm)],[f_2417_1]) ).
fof(f_2417_3,plain,
! [U_6286,U_6288,U_6289,U_6287] :
( r1_rlvect_1(U_6286,U_6287)
| ~ r2_hidden(U_6288,k3_rlsub_1(U_6289,k5_rlvect_1(U_6289,U_6287),U_6286))
| ~ r2_hidden(U_6288,k3_rlsub_1(U_6289,U_6287,U_6286))
| ~ m1_rlsub_1(U_6286,U_6289)
| ~ m1_subset_1(U_6287,u1_struct_0(U_6289))
| ~ m1_subset_1(U_6288,u1_struct_0(U_6289))
| ~ l2_rlvect_1(U_6289)
| ~ v7_rlvect_1(U_6289)
| ~ v6_rlvect_1(U_6289)
| ~ v5_rlvect_1(U_6289)
| ~ v4_rlvect_1(U_6289)
| ~ v3_rlvect_1(U_6289)
| v3_struct_0(U_6289) ),
inference(definitional_conversion,[status(esa)],[f_2417_2]) ).
cnf(f_2417_4,plain,
( r1_rlvect_1(U_6286,U_6287)
| ~ r2_hidden(U_6288,k3_rlsub_1(U_6289,k5_rlvect_1(U_6289,U_6287),U_6286))
| ~ r2_hidden(U_6288,k3_rlsub_1(U_6289,U_6287,U_6286))
| ~ m1_rlsub_1(U_6286,U_6289)
| ~ m1_subset_1(U_6287,u1_struct_0(U_6289))
| ~ m1_subset_1(U_6288,u1_struct_0(U_6289))
| ~ l2_rlvect_1(U_6289)
| ~ v7_rlvect_1(U_6289)
| ~ v6_rlvect_1(U_6289)
| ~ v5_rlvect_1(U_6289)
| ~ v4_rlvect_1(U_6289)
| ~ v3_rlvect_1(U_6289)
| v3_struct_0(U_6289) ),
inference(clausify,[status(thm)],[f_2417_3]) ).
fof(f_2418_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,B)
| C = np__1
| ~ r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t74_rlsub_1]) ).
fof(f_2418_2,plain,
! [U_6293] :
( ! [U_6292] :
( ! [U_6291] :
( ! [U_6290] :
( r1_rlvect_1(U_6290,U_6292)
| U_6291 = np__1
| ~ r2_hidden(k3_rlvect_1(U_6293,U_6292,U_6291),k3_rlsub_1(U_6293,U_6292,U_6290))
| ~ m1_rlsub_1(U_6290,U_6293) )
| ~ m1_subset_1(U_6291,k1_numbers) )
| ~ m1_subset_1(U_6292,u1_struct_0(U_6293)) )
| ~ l2_rlvect_1(U_6293)
| ~ v7_rlvect_1(U_6293)
| ~ v6_rlvect_1(U_6293)
| ~ v5_rlvect_1(U_6293)
| ~ v4_rlvect_1(U_6293)
| ~ v3_rlvect_1(U_6293)
| v3_struct_0(U_6293) ),
inference(variable_rename,[status(thm)],[f_2418_1]) ).
fof(f_2418_3,plain,
! [U_6290,U_6292,U_6293,U_6291] :
( r1_rlvect_1(U_6290,U_6292)
| U_6291 = np__1
| ~ r2_hidden(k3_rlvect_1(U_6293,U_6292,U_6291),k3_rlsub_1(U_6293,U_6292,U_6290))
| ~ m1_rlsub_1(U_6290,U_6293)
| ~ m1_subset_1(U_6291,k1_numbers)
| ~ m1_subset_1(U_6292,u1_struct_0(U_6293))
| ~ l2_rlvect_1(U_6293)
| ~ v7_rlvect_1(U_6293)
| ~ v6_rlvect_1(U_6293)
| ~ v5_rlvect_1(U_6293)
| ~ v4_rlvect_1(U_6293)
| ~ v3_rlvect_1(U_6293)
| v3_struct_0(U_6293) ),
inference(definitional_conversion,[status(esa)],[f_2418_2]) ).
cnf(f_2418_4,plain,
( r1_rlvect_1(U_6290,U_6292)
| U_6291 = np__1
| ~ r2_hidden(k3_rlvect_1(U_6293,U_6292,U_6291),k3_rlsub_1(U_6293,U_6292,U_6290))
| ~ m1_rlsub_1(U_6290,U_6293)
| ~ m1_subset_1(U_6291,k1_numbers)
| ~ m1_subset_1(U_6292,u1_struct_0(U_6293))
| ~ l2_rlvect_1(U_6293)
| ~ v7_rlvect_1(U_6293)
| ~ v6_rlvect_1(U_6293)
| ~ v5_rlvect_1(U_6293)
| ~ v4_rlvect_1(U_6293)
| ~ v3_rlvect_1(U_6293)
| v3_struct_0(U_6293) ),
inference(clausify,[status(thm)],[f_2418_3]) ).
fof(f_2419_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))
| ~ r1_rlvect_1(D,B)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t75_rlsub_1]) ).
fof(f_2419_2,plain,
! [U_6297] :
( ! [U_6296] :
( ! [U_6295] :
( ! [U_6294] :
( r2_hidden(k3_rlvect_1(U_6297,U_6296,U_6295),k3_rlsub_1(U_6297,U_6296,U_6294))
| ~ r1_rlvect_1(U_6294,U_6296)
| ~ m1_rlsub_1(U_6294,U_6297) )
| ~ m1_subset_1(U_6295,k1_numbers) )
| ~ m1_subset_1(U_6296,u1_struct_0(U_6297)) )
| ~ l2_rlvect_1(U_6297)
| ~ v7_rlvect_1(U_6297)
| ~ v6_rlvect_1(U_6297)
| ~ v5_rlvect_1(U_6297)
| ~ v4_rlvect_1(U_6297)
| ~ v3_rlvect_1(U_6297)
| v3_struct_0(U_6297) ),
inference(variable_rename,[status(thm)],[f_2419_1]) ).
fof(f_2419_3,plain,
! [U_6297,U_6295,U_6296,U_6294] :
( r2_hidden(k3_rlvect_1(U_6297,U_6296,U_6295),k3_rlsub_1(U_6297,U_6296,U_6294))
| ~ r1_rlvect_1(U_6294,U_6296)
| ~ m1_rlsub_1(U_6294,U_6297)
| ~ m1_subset_1(U_6295,k1_numbers)
| ~ m1_subset_1(U_6296,u1_struct_0(U_6297))
| ~ l2_rlvect_1(U_6297)
| ~ v7_rlvect_1(U_6297)
| ~ v6_rlvect_1(U_6297)
| ~ v5_rlvect_1(U_6297)
| ~ v4_rlvect_1(U_6297)
| ~ v3_rlvect_1(U_6297)
| v3_struct_0(U_6297) ),
inference(definitional_conversion,[status(esa)],[f_2419_2]) ).
cnf(f_2419_4,plain,
( r2_hidden(k3_rlvect_1(U_6297,U_6296,U_6295),k3_rlsub_1(U_6297,U_6296,U_6294))
| ~ r1_rlvect_1(U_6294,U_6296)
| ~ m1_rlsub_1(U_6294,U_6297)
| ~ m1_subset_1(U_6295,k1_numbers)
| ~ m1_subset_1(U_6296,u1_struct_0(U_6297))
| ~ l2_rlvect_1(U_6297)
| ~ v7_rlvect_1(U_6297)
| ~ v6_rlvect_1(U_6297)
| ~ v5_rlvect_1(U_6297)
| ~ v4_rlvect_1(U_6297)
| ~ v3_rlvect_1(U_6297)
| v3_struct_0(U_6297) ),
inference(clausify,[status(thm)],[f_2419_3]) ).
fof(f_2420_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(k5_rlvect_1(A,B),k3_rlsub_1(A,B,C))
| ~ r1_rlvect_1(C,B) )
& ( r1_rlvect_1(C,B)
| ~ r2_hidden(k5_rlvect_1(A,B),k3_rlsub_1(A,B,C)) ) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t76_rlsub_1]) ).
fof(f_2420_2,plain,
! [U_6300] :
( ! [U_6299] :
( ! [U_6298] :
( ( ( r2_hidden(k5_rlvect_1(U_6300,U_6299),k3_rlsub_1(U_6300,U_6299,U_6298))
| ~ r1_rlvect_1(U_6298,U_6299) )
& ( r1_rlvect_1(U_6298,U_6299)
| ~ r2_hidden(k5_rlvect_1(U_6300,U_6299),k3_rlsub_1(U_6300,U_6299,U_6298)) ) )
| ~ m1_rlsub_1(U_6298,U_6300) )
| ~ m1_subset_1(U_6299,u1_struct_0(U_6300)) )
| ~ l2_rlvect_1(U_6300)
| ~ v7_rlvect_1(U_6300)
| ~ v6_rlvect_1(U_6300)
| ~ v5_rlvect_1(U_6300)
| ~ v4_rlvect_1(U_6300)
| ~ v3_rlvect_1(U_6300)
| v3_struct_0(U_6300) ),
inference(variable_rename,[status(thm)],[f_2420_1]) ).
fof(f_2420_3,plain,
( ! [U_6299,U_6298,U_6300] :
( r2_hidden(k5_rlvect_1(U_6300,U_6299),k3_rlsub_1(U_6300,U_6299,U_6298))
| ~ r1_rlvect_1(U_6298,U_6299)
| ~ sP1110(U_6299,U_6298,U_6300) )
& ! [U_6299,U_6298,U_6300] :
( r1_rlvect_1(U_6298,U_6299)
| ~ r2_hidden(k5_rlvect_1(U_6300,U_6299),k3_rlsub_1(U_6300,U_6299,U_6298))
| ~ sP1110(U_6299,U_6298,U_6300) )
& ! [U_6299,U_6298,U_6300] :
( sP1110(U_6299,U_6298,U_6300)
| ~ m1_rlsub_1(U_6298,U_6300)
| ~ m1_subset_1(U_6299,u1_struct_0(U_6300))
| ~ l2_rlvect_1(U_6300)
| ~ v7_rlvect_1(U_6300)
| ~ v6_rlvect_1(U_6300)
| ~ v5_rlvect_1(U_6300)
| ~ v4_rlvect_1(U_6300)
| ~ v3_rlvect_1(U_6300)
| v3_struct_0(U_6300) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1110])],[f_2420_2]) ).
cnf(f_2420_4,plain,
( sP1110(U_6299,U_6298,U_6300)
| ~ m1_rlsub_1(U_6298,U_6300)
| ~ m1_subset_1(U_6299,u1_struct_0(U_6300))
| ~ l2_rlvect_1(U_6300)
| ~ v7_rlvect_1(U_6300)
| ~ v6_rlvect_1(U_6300)
| ~ v5_rlvect_1(U_6300)
| ~ v4_rlvect_1(U_6300)
| ~ v3_rlvect_1(U_6300)
| v3_struct_0(U_6300) ),
inference(clausify,[status(thm)],[f_2420_3]) ).
cnf(f_2420_5,plain,
( r1_rlvect_1(U_6298,U_6299)
| ~ r2_hidden(k5_rlvect_1(U_6300,U_6299),k3_rlsub_1(U_6300,U_6299,U_6298))
| ~ sP1110(U_6299,U_6298,U_6300) ),
inference(clausify,[status(thm)],[f_2420_3]) ).
cnf(f_2420_6,plain,
( r2_hidden(k5_rlvect_1(U_6300,U_6299),k3_rlsub_1(U_6300,U_6299,U_6298))
| ~ r1_rlvect_1(U_6298,U_6299)
| ~ sP1110(U_6299,U_6298,U_6300) ),
inference(clausify,[status(thm)],[f_2420_3]) ).
fof(f_2421_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(k4_rlvect_1(A,B,C),k3_rlsub_1(A,C,D))
| ~ r1_rlvect_1(D,B) )
& ( r1_rlvect_1(D,B)
| ~ r2_hidden(k4_rlvect_1(A,B,C),k3_rlsub_1(A,C,D)) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t77_rlsub_1]) ).
fof(f_2421_2,plain,
! [U_6304] :
( ! [U_6303] :
( ! [U_6302] :
( ! [U_6301] :
( ( ( r2_hidden(k4_rlvect_1(U_6304,U_6303,U_6302),k3_rlsub_1(U_6304,U_6302,U_6301))
| ~ r1_rlvect_1(U_6301,U_6303) )
& ( r1_rlvect_1(U_6301,U_6303)
| ~ r2_hidden(k4_rlvect_1(U_6304,U_6303,U_6302),k3_rlsub_1(U_6304,U_6302,U_6301)) ) )
| ~ m1_rlsub_1(U_6301,U_6304) )
| ~ m1_subset_1(U_6302,u1_struct_0(U_6304)) )
| ~ m1_subset_1(U_6303,u1_struct_0(U_6304)) )
| ~ l2_rlvect_1(U_6304)
| ~ v7_rlvect_1(U_6304)
| ~ v6_rlvect_1(U_6304)
| ~ v5_rlvect_1(U_6304)
| ~ v4_rlvect_1(U_6304)
| ~ v3_rlvect_1(U_6304)
| v3_struct_0(U_6304) ),
inference(variable_rename,[status(thm)],[f_2421_1]) ).
fof(f_2421_3,plain,
( ! [U_6304,U_6303,U_6301,U_6302] :
( r2_hidden(k4_rlvect_1(U_6304,U_6303,U_6302),k3_rlsub_1(U_6304,U_6302,U_6301))
| ~ r1_rlvect_1(U_6301,U_6303)
| ~ sP1111(U_6304,U_6303,U_6301,U_6302) )
& ! [U_6304,U_6303,U_6301,U_6302] :
( r1_rlvect_1(U_6301,U_6303)
| ~ r2_hidden(k4_rlvect_1(U_6304,U_6303,U_6302),k3_rlsub_1(U_6304,U_6302,U_6301))
| ~ sP1111(U_6304,U_6303,U_6301,U_6302) )
& ! [U_6304,U_6303,U_6301,U_6302] :
( sP1111(U_6304,U_6303,U_6301,U_6302)
| ~ m1_rlsub_1(U_6301,U_6304)
| ~ m1_subset_1(U_6302,u1_struct_0(U_6304))
| ~ m1_subset_1(U_6303,u1_struct_0(U_6304))
| ~ l2_rlvect_1(U_6304)
| ~ v7_rlvect_1(U_6304)
| ~ v6_rlvect_1(U_6304)
| ~ v5_rlvect_1(U_6304)
| ~ v4_rlvect_1(U_6304)
| ~ v3_rlvect_1(U_6304)
| v3_struct_0(U_6304) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1111])],[f_2421_2]) ).
cnf(f_2421_4,plain,
( sP1111(U_6304,U_6303,U_6301,U_6302)
| ~ m1_rlsub_1(U_6301,U_6304)
| ~ m1_subset_1(U_6302,u1_struct_0(U_6304))
| ~ m1_subset_1(U_6303,u1_struct_0(U_6304))
| ~ l2_rlvect_1(U_6304)
| ~ v7_rlvect_1(U_6304)
| ~ v6_rlvect_1(U_6304)
| ~ v5_rlvect_1(U_6304)
| ~ v4_rlvect_1(U_6304)
| ~ v3_rlvect_1(U_6304)
| v3_struct_0(U_6304) ),
inference(clausify,[status(thm)],[f_2421_3]) ).
cnf(f_2421_5,plain,
( r1_rlvect_1(U_6301,U_6303)
| ~ r2_hidden(k4_rlvect_1(U_6304,U_6303,U_6302),k3_rlsub_1(U_6304,U_6302,U_6301))
| ~ sP1111(U_6304,U_6303,U_6301,U_6302) ),
inference(clausify,[status(thm)],[f_2421_3]) ).
cnf(f_2421_6,plain,
( r2_hidden(k4_rlvect_1(U_6304,U_6303,U_6302),k3_rlsub_1(U_6304,U_6302,U_6301))
| ~ r1_rlvect_1(U_6301,U_6303)
| ~ sP1111(U_6304,U_6303,U_6301,U_6302) ),
inference(clausify,[status(thm)],[f_2421_3]) ).
fof(f_2422_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(k6_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))
| ~ r1_rlvect_1(D,C) )
& ( r1_rlvect_1(D,C)
| ~ r2_hidden(k6_rlvect_1(A,B,C),k3_rlsub_1(A,B,D)) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t78_rlsub_1]) ).
fof(f_2422_2,plain,
! [U_6308] :
( ! [U_6307] :
( ! [U_6306] :
( ! [U_6305] :
( ( ( r2_hidden(k6_rlvect_1(U_6308,U_6307,U_6306),k3_rlsub_1(U_6308,U_6307,U_6305))
| ~ r1_rlvect_1(U_6305,U_6306) )
& ( r1_rlvect_1(U_6305,U_6306)
| ~ r2_hidden(k6_rlvect_1(U_6308,U_6307,U_6306),k3_rlsub_1(U_6308,U_6307,U_6305)) ) )
| ~ m1_rlsub_1(U_6305,U_6308) )
| ~ m1_subset_1(U_6306,u1_struct_0(U_6308)) )
| ~ m1_subset_1(U_6307,u1_struct_0(U_6308)) )
| ~ l2_rlvect_1(U_6308)
| ~ v7_rlvect_1(U_6308)
| ~ v6_rlvect_1(U_6308)
| ~ v5_rlvect_1(U_6308)
| ~ v4_rlvect_1(U_6308)
| ~ v3_rlvect_1(U_6308)
| v3_struct_0(U_6308) ),
inference(variable_rename,[status(thm)],[f_2422_1]) ).
fof(f_2422_3,plain,
( ! [U_6308,U_6307,U_6305,U_6306] :
( r2_hidden(k6_rlvect_1(U_6308,U_6307,U_6306),k3_rlsub_1(U_6308,U_6307,U_6305))
| ~ r1_rlvect_1(U_6305,U_6306)
| ~ sP1112(U_6308,U_6307,U_6305,U_6306) )
& ! [U_6308,U_6307,U_6305,U_6306] :
( r1_rlvect_1(U_6305,U_6306)
| ~ r2_hidden(k6_rlvect_1(U_6308,U_6307,U_6306),k3_rlsub_1(U_6308,U_6307,U_6305))
| ~ sP1112(U_6308,U_6307,U_6305,U_6306) )
& ! [U_6308,U_6307,U_6305,U_6306] :
( sP1112(U_6308,U_6307,U_6305,U_6306)
| ~ m1_rlsub_1(U_6305,U_6308)
| ~ m1_subset_1(U_6306,u1_struct_0(U_6308))
| ~ m1_subset_1(U_6307,u1_struct_0(U_6308))
| ~ l2_rlvect_1(U_6308)
| ~ v7_rlvect_1(U_6308)
| ~ v6_rlvect_1(U_6308)
| ~ v5_rlvect_1(U_6308)
| ~ v4_rlvect_1(U_6308)
| ~ v3_rlvect_1(U_6308)
| v3_struct_0(U_6308) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1112])],[f_2422_2]) ).
cnf(f_2422_4,plain,
( sP1112(U_6308,U_6307,U_6305,U_6306)
| ~ m1_rlsub_1(U_6305,U_6308)
| ~ m1_subset_1(U_6306,u1_struct_0(U_6308))
| ~ m1_subset_1(U_6307,u1_struct_0(U_6308))
| ~ l2_rlvect_1(U_6308)
| ~ v7_rlvect_1(U_6308)
| ~ v6_rlvect_1(U_6308)
| ~ v5_rlvect_1(U_6308)
| ~ v4_rlvect_1(U_6308)
| ~ v3_rlvect_1(U_6308)
| v3_struct_0(U_6308) ),
inference(clausify,[status(thm)],[f_2422_3]) ).
cnf(f_2422_5,plain,
( r1_rlvect_1(U_6305,U_6306)
| ~ r2_hidden(k6_rlvect_1(U_6308,U_6307,U_6306),k3_rlsub_1(U_6308,U_6307,U_6305))
| ~ sP1112(U_6308,U_6307,U_6305,U_6306) ),
inference(clausify,[status(thm)],[f_2422_3]) ).
cnf(f_2422_6,plain,
( r2_hidden(k6_rlvect_1(U_6308,U_6307,U_6306),k3_rlsub_1(U_6308,U_6307,U_6305))
| ~ r1_rlvect_1(U_6305,U_6306)
| ~ sP1112(U_6308,U_6307,U_6305,U_6306) ),
inference(clausify,[status(thm)],[f_2422_3]) ).
fof(f_2423_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(B,k3_rlsub_1(A,C,D))
| ! [E] :
( B != k4_rlvect_1(A,C,E)
| ~ r1_rlvect_1(D,E)
| ~ m1_subset_1(E,u1_struct_0(A)) ) )
& ( ? [E] :
( B = k4_rlvect_1(A,C,E)
& r1_rlvect_1(D,E)
& m1_subset_1(E,u1_struct_0(A)) )
| ~ r2_hidden(B,k3_rlsub_1(A,C,D)) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t79_rlsub_1]) ).
fof(f_2423_2,plain,
! [U_6314] :
( ! [U_6313] :
( ! [U_6312] :
( ! [U_6311] :
( ( ( r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311))
| ! [U_6310] :
( U_6313 != k4_rlvect_1(U_6314,U_6312,U_6310)
| ~ r1_rlvect_1(U_6311,U_6310)
| ~ m1_subset_1(U_6310,u1_struct_0(U_6314)) ) )
& ( ? [U_6309] :
( U_6313 = k4_rlvect_1(U_6314,U_6312,U_6309)
& r1_rlvect_1(U_6311,U_6309)
& m1_subset_1(U_6309,u1_struct_0(U_6314)) )
| ~ r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311)) ) )
| ~ m1_rlsub_1(U_6311,U_6314) )
| ~ m1_subset_1(U_6312,u1_struct_0(U_6314)) )
| ~ m1_subset_1(U_6313,u1_struct_0(U_6314)) )
| ~ l2_rlvect_1(U_6314)
| ~ v7_rlvect_1(U_6314)
| ~ v6_rlvect_1(U_6314)
| ~ v5_rlvect_1(U_6314)
| ~ v4_rlvect_1(U_6314)
| ~ v3_rlvect_1(U_6314)
| v3_struct_0(U_6314) ),
inference(variable_rename,[status(thm)],[f_2423_1]) ).
fof(f_2423_3,plain,
! [U_6314] :
( ! [U_6313] :
( ! [U_6312] :
( ! [U_6311] :
( ( ( r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311))
| ! [U_6310] :
( U_6313 != k4_rlvect_1(U_6314,U_6312,U_6310)
| ~ r1_rlvect_1(U_6311,U_6310)
| ~ m1_subset_1(U_6310,u1_struct_0(U_6314)) ) )
& ( ( U_6313 = k4_rlvect_1(U_6314,U_6312,sK774(U_6314,U_6313,U_6312,U_6311))
& r1_rlvect_1(U_6311,sK774(U_6314,U_6313,U_6312,U_6311))
& m1_subset_1(sK774(U_6314,U_6313,U_6312,U_6311),u1_struct_0(U_6314)) )
| ~ r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311)) ) )
| ~ m1_rlsub_1(U_6311,U_6314) )
| ~ m1_subset_1(U_6312,u1_struct_0(U_6314)) )
| ~ m1_subset_1(U_6313,u1_struct_0(U_6314)) )
| ~ l2_rlvect_1(U_6314)
| ~ v7_rlvect_1(U_6314)
| ~ v6_rlvect_1(U_6314)
| ~ v5_rlvect_1(U_6314)
| ~ v4_rlvect_1(U_6314)
| ~ v3_rlvect_1(U_6314)
| v3_struct_0(U_6314) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK774]),skolemize(U_6309,sK774(U_6314,U_6313,U_6312,U_6311))],[f_2423_2]) ).
fof(f_2423_4,plain,
( ! [U_6312,U_6313,U_6311,U_6314] :
( U_6313 = k4_rlvect_1(U_6314,U_6312,sK774(U_6314,U_6313,U_6312,U_6311))
| ~ sP1113(U_6312,U_6313,U_6311,U_6314) )
& ! [U_6312,U_6313,U_6311,U_6314] :
( r1_rlvect_1(U_6311,sK774(U_6314,U_6313,U_6312,U_6311))
| ~ sP1113(U_6312,U_6313,U_6311,U_6314) )
& ! [U_6312,U_6313,U_6311,U_6314] :
( m1_subset_1(sK774(U_6314,U_6313,U_6312,U_6311),u1_struct_0(U_6314))
| ~ sP1113(U_6312,U_6313,U_6311,U_6314) )
& ! [U_6312,U_6313,U_6311,U_6310,U_6314] :
( r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311))
| U_6313 != k4_rlvect_1(U_6314,U_6312,U_6310)
| ~ r1_rlvect_1(U_6311,U_6310)
| ~ m1_subset_1(U_6310,u1_struct_0(U_6314))
| ~ sP1114(U_6312,U_6313,U_6311,U_6310,U_6314) )
& ! [U_6312,U_6313,U_6311,U_6310,U_6314] :
( sP1113(U_6312,U_6313,U_6311,U_6314)
| ~ r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311))
| ~ sP1114(U_6312,U_6313,U_6311,U_6310,U_6314) )
& ! [U_6312,U_6313,U_6311,U_6310,U_6314] :
( sP1114(U_6312,U_6313,U_6311,U_6310,U_6314)
| ~ m1_rlsub_1(U_6311,U_6314)
| ~ m1_subset_1(U_6312,u1_struct_0(U_6314))
| ~ m1_subset_1(U_6313,u1_struct_0(U_6314))
| ~ l2_rlvect_1(U_6314)
| ~ v7_rlvect_1(U_6314)
| ~ v6_rlvect_1(U_6314)
| ~ v5_rlvect_1(U_6314)
| ~ v4_rlvect_1(U_6314)
| ~ v3_rlvect_1(U_6314)
| v3_struct_0(U_6314) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1113,sP1114])],[f_2423_3]) ).
cnf(f_2423_5,plain,
( sP1114(U_6312,U_6313,U_6311,U_6310,U_6314)
| ~ m1_rlsub_1(U_6311,U_6314)
| ~ m1_subset_1(U_6312,u1_struct_0(U_6314))
| ~ m1_subset_1(U_6313,u1_struct_0(U_6314))
| ~ l2_rlvect_1(U_6314)
| ~ v7_rlvect_1(U_6314)
| ~ v6_rlvect_1(U_6314)
| ~ v5_rlvect_1(U_6314)
| ~ v4_rlvect_1(U_6314)
| ~ v3_rlvect_1(U_6314)
| v3_struct_0(U_6314) ),
inference(clausify,[status(thm)],[f_2423_4]) ).
cnf(f_2423_6,plain,
( sP1113(U_6312,U_6313,U_6311,U_6314)
| ~ r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311))
| ~ sP1114(U_6312,U_6313,U_6311,U_6310,U_6314) ),
inference(clausify,[status(thm)],[f_2423_4]) ).
cnf(f_2423_7,plain,
( r2_hidden(U_6313,k3_rlsub_1(U_6314,U_6312,U_6311))
| U_6313 != k4_rlvect_1(U_6314,U_6312,U_6310)
| ~ r1_rlvect_1(U_6311,U_6310)
| ~ m1_subset_1(U_6310,u1_struct_0(U_6314))
| ~ sP1114(U_6312,U_6313,U_6311,U_6310,U_6314) ),
inference(clausify,[status(thm)],[f_2423_4]) ).
cnf(f_2423_8,plain,
( m1_subset_1(sK774(U_6314,U_6313,U_6312,U_6311),u1_struct_0(U_6314))
| ~ sP1113(U_6312,U_6313,U_6311,U_6314) ),
inference(clausify,[status(thm)],[f_2423_4]) ).
cnf(f_2423_9,plain,
( r1_rlvect_1(U_6311,sK774(U_6314,U_6313,U_6312,U_6311))
| ~ sP1113(U_6312,U_6313,U_6311,U_6314) ),
inference(clausify,[status(thm)],[f_2423_4]) ).
cnf(f_2423_10,plain,
( U_6313 = k4_rlvect_1(U_6314,U_6312,sK774(U_6314,U_6313,U_6312,U_6311))
| ~ sP1113(U_6312,U_6313,U_6311,U_6314) ),
inference(clausify,[status(thm)],[f_2423_4]) ).
fof(f_2424_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(B,k3_rlsub_1(A,C,D))
| ! [E] :
( B != k6_rlvect_1(A,C,E)
| ~ r1_rlvect_1(D,E)
| ~ m1_subset_1(E,u1_struct_0(A)) ) )
& ( ? [E] :
( B = k6_rlvect_1(A,C,E)
& r1_rlvect_1(D,E)
& m1_subset_1(E,u1_struct_0(A)) )
| ~ r2_hidden(B,k3_rlsub_1(A,C,D)) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t80_rlsub_1]) ).
fof(f_2424_2,plain,
! [U_6320] :
( ! [U_6319] :
( ! [U_6318] :
( ! [U_6317] :
( ( ( r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317))
| ! [U_6316] :
( U_6319 != k6_rlvect_1(U_6320,U_6318,U_6316)
| ~ r1_rlvect_1(U_6317,U_6316)
| ~ m1_subset_1(U_6316,u1_struct_0(U_6320)) ) )
& ( ? [U_6315] :
( U_6319 = k6_rlvect_1(U_6320,U_6318,U_6315)
& r1_rlvect_1(U_6317,U_6315)
& m1_subset_1(U_6315,u1_struct_0(U_6320)) )
| ~ r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317)) ) )
| ~ m1_rlsub_1(U_6317,U_6320) )
| ~ m1_subset_1(U_6318,u1_struct_0(U_6320)) )
| ~ m1_subset_1(U_6319,u1_struct_0(U_6320)) )
| ~ l2_rlvect_1(U_6320)
| ~ v7_rlvect_1(U_6320)
| ~ v6_rlvect_1(U_6320)
| ~ v5_rlvect_1(U_6320)
| ~ v4_rlvect_1(U_6320)
| ~ v3_rlvect_1(U_6320)
| v3_struct_0(U_6320) ),
inference(variable_rename,[status(thm)],[f_2424_1]) ).
fof(f_2424_3,plain,
! [U_6320] :
( ! [U_6319] :
( ! [U_6318] :
( ! [U_6317] :
( ( ( r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317))
| ! [U_6316] :
( U_6319 != k6_rlvect_1(U_6320,U_6318,U_6316)
| ~ r1_rlvect_1(U_6317,U_6316)
| ~ m1_subset_1(U_6316,u1_struct_0(U_6320)) ) )
& ( ( U_6319 = k6_rlvect_1(U_6320,U_6318,sK775(U_6320,U_6319,U_6318,U_6317))
& r1_rlvect_1(U_6317,sK775(U_6320,U_6319,U_6318,U_6317))
& m1_subset_1(sK775(U_6320,U_6319,U_6318,U_6317),u1_struct_0(U_6320)) )
| ~ r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317)) ) )
| ~ m1_rlsub_1(U_6317,U_6320) )
| ~ m1_subset_1(U_6318,u1_struct_0(U_6320)) )
| ~ m1_subset_1(U_6319,u1_struct_0(U_6320)) )
| ~ l2_rlvect_1(U_6320)
| ~ v7_rlvect_1(U_6320)
| ~ v6_rlvect_1(U_6320)
| ~ v5_rlvect_1(U_6320)
| ~ v4_rlvect_1(U_6320)
| ~ v3_rlvect_1(U_6320)
| v3_struct_0(U_6320) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK775]),skolemize(U_6315,sK775(U_6320,U_6319,U_6318,U_6317))],[f_2424_2]) ).
fof(f_2424_4,plain,
( ! [U_6318,U_6319,U_6317,U_6320] :
( U_6319 = k6_rlvect_1(U_6320,U_6318,sK775(U_6320,U_6319,U_6318,U_6317))
| ~ sP1115(U_6318,U_6319,U_6317,U_6320) )
& ! [U_6318,U_6319,U_6317,U_6320] :
( r1_rlvect_1(U_6317,sK775(U_6320,U_6319,U_6318,U_6317))
| ~ sP1115(U_6318,U_6319,U_6317,U_6320) )
& ! [U_6318,U_6319,U_6317,U_6320] :
( m1_subset_1(sK775(U_6320,U_6319,U_6318,U_6317),u1_struct_0(U_6320))
| ~ sP1115(U_6318,U_6319,U_6317,U_6320) )
& ! [U_6318,U_6319,U_6316,U_6317,U_6320] :
( r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317))
| U_6319 != k6_rlvect_1(U_6320,U_6318,U_6316)
| ~ r1_rlvect_1(U_6317,U_6316)
| ~ m1_subset_1(U_6316,u1_struct_0(U_6320))
| ~ sP1116(U_6318,U_6319,U_6316,U_6317,U_6320) )
& ! [U_6318,U_6319,U_6316,U_6317,U_6320] :
( sP1115(U_6318,U_6319,U_6317,U_6320)
| ~ r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317))
| ~ sP1116(U_6318,U_6319,U_6316,U_6317,U_6320) )
& ! [U_6318,U_6319,U_6316,U_6317,U_6320] :
( sP1116(U_6318,U_6319,U_6316,U_6317,U_6320)
| ~ m1_rlsub_1(U_6317,U_6320)
| ~ m1_subset_1(U_6318,u1_struct_0(U_6320))
| ~ m1_subset_1(U_6319,u1_struct_0(U_6320))
| ~ l2_rlvect_1(U_6320)
| ~ v7_rlvect_1(U_6320)
| ~ v6_rlvect_1(U_6320)
| ~ v5_rlvect_1(U_6320)
| ~ v4_rlvect_1(U_6320)
| ~ v3_rlvect_1(U_6320)
| v3_struct_0(U_6320) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1115,sP1116])],[f_2424_3]) ).
cnf(f_2424_5,plain,
( sP1116(U_6318,U_6319,U_6316,U_6317,U_6320)
| ~ m1_rlsub_1(U_6317,U_6320)
| ~ m1_subset_1(U_6318,u1_struct_0(U_6320))
| ~ m1_subset_1(U_6319,u1_struct_0(U_6320))
| ~ l2_rlvect_1(U_6320)
| ~ v7_rlvect_1(U_6320)
| ~ v6_rlvect_1(U_6320)
| ~ v5_rlvect_1(U_6320)
| ~ v4_rlvect_1(U_6320)
| ~ v3_rlvect_1(U_6320)
| v3_struct_0(U_6320) ),
inference(clausify,[status(thm)],[f_2424_4]) ).
cnf(f_2424_6,plain,
( sP1115(U_6318,U_6319,U_6317,U_6320)
| ~ r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317))
| ~ sP1116(U_6318,U_6319,U_6316,U_6317,U_6320) ),
inference(clausify,[status(thm)],[f_2424_4]) ).
cnf(f_2424_7,plain,
( r2_hidden(U_6319,k3_rlsub_1(U_6320,U_6318,U_6317))
| U_6319 != k6_rlvect_1(U_6320,U_6318,U_6316)
| ~ r1_rlvect_1(U_6317,U_6316)
| ~ m1_subset_1(U_6316,u1_struct_0(U_6320))
| ~ sP1116(U_6318,U_6319,U_6316,U_6317,U_6320) ),
inference(clausify,[status(thm)],[f_2424_4]) ).
cnf(f_2424_8,plain,
( m1_subset_1(sK775(U_6320,U_6319,U_6318,U_6317),u1_struct_0(U_6320))
| ~ sP1115(U_6318,U_6319,U_6317,U_6320) ),
inference(clausify,[status(thm)],[f_2424_4]) ).
cnf(f_2424_9,plain,
( r1_rlvect_1(U_6317,sK775(U_6320,U_6319,U_6318,U_6317))
| ~ sP1115(U_6318,U_6319,U_6317,U_6320) ),
inference(clausify,[status(thm)],[f_2424_4]) ).
cnf(f_2424_10,plain,
( U_6319 = k6_rlvect_1(U_6320,U_6318,sK775(U_6320,U_6319,U_6318,U_6317))
| ~ sP1115(U_6318,U_6319,U_6317,U_6320) ),
inference(clausify,[status(thm)],[f_2424_4]) ).
fof(f_2425_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( ? [E] :
( r2_hidden(C,k3_rlsub_1(A,E,D))
& r2_hidden(B,k3_rlsub_1(A,E,D))
& m1_subset_1(E,u1_struct_0(A)) )
| ~ r1_rlvect_1(D,k6_rlvect_1(A,B,C)) )
& ( r1_rlvect_1(D,k6_rlvect_1(A,B,C))
| ! [E] :
( ~ r2_hidden(C,k3_rlsub_1(A,E,D))
| ~ r2_hidden(B,k3_rlsub_1(A,E,D))
| ~ m1_subset_1(E,u1_struct_0(A)) ) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t81_rlsub_1]) ).
fof(f_2425_2,plain,
! [U_6326] :
( ! [U_6325] :
( ! [U_6324] :
( ! [U_6323] :
( ( ( ? [U_6322] :
( r2_hidden(U_6324,k3_rlsub_1(U_6326,U_6322,U_6323))
& r2_hidden(U_6325,k3_rlsub_1(U_6326,U_6322,U_6323))
& m1_subset_1(U_6322,u1_struct_0(U_6326)) )
| ~ r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324)) )
& ( r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324))
| ! [U_6321] :
( ~ r2_hidden(U_6324,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ r2_hidden(U_6325,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ m1_subset_1(U_6321,u1_struct_0(U_6326)) ) ) )
| ~ m1_rlsub_1(U_6323,U_6326) )
| ~ m1_subset_1(U_6324,u1_struct_0(U_6326)) )
| ~ m1_subset_1(U_6325,u1_struct_0(U_6326)) )
| ~ l2_rlvect_1(U_6326)
| ~ v7_rlvect_1(U_6326)
| ~ v6_rlvect_1(U_6326)
| ~ v5_rlvect_1(U_6326)
| ~ v4_rlvect_1(U_6326)
| ~ v3_rlvect_1(U_6326)
| v3_struct_0(U_6326) ),
inference(variable_rename,[status(thm)],[f_2425_1]) ).
fof(f_2425_3,plain,
! [U_6326] :
( ! [U_6325] :
( ! [U_6324] :
( ! [U_6323] :
( ( ( ( r2_hidden(U_6324,k3_rlsub_1(U_6326,sK776(U_6326,U_6325,U_6324,U_6323),U_6323))
& r2_hidden(U_6325,k3_rlsub_1(U_6326,sK776(U_6326,U_6325,U_6324,U_6323),U_6323))
& m1_subset_1(sK776(U_6326,U_6325,U_6324,U_6323),u1_struct_0(U_6326)) )
| ~ r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324)) )
& ( r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324))
| ! [U_6321] :
( ~ r2_hidden(U_6324,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ r2_hidden(U_6325,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ m1_subset_1(U_6321,u1_struct_0(U_6326)) ) ) )
| ~ m1_rlsub_1(U_6323,U_6326) )
| ~ m1_subset_1(U_6324,u1_struct_0(U_6326)) )
| ~ m1_subset_1(U_6325,u1_struct_0(U_6326)) )
| ~ l2_rlvect_1(U_6326)
| ~ v7_rlvect_1(U_6326)
| ~ v6_rlvect_1(U_6326)
| ~ v5_rlvect_1(U_6326)
| ~ v4_rlvect_1(U_6326)
| ~ v3_rlvect_1(U_6326)
| v3_struct_0(U_6326) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK776]),skolemize(U_6322,sK776(U_6326,U_6325,U_6324,U_6323))],[f_2425_2]) ).
fof(f_2425_4,plain,
( ! [U_6326,U_6323,U_6325,U_6324] :
( r2_hidden(U_6324,k3_rlsub_1(U_6326,sK776(U_6326,U_6325,U_6324,U_6323),U_6323))
| ~ sP1117(U_6326,U_6323,U_6325,U_6324) )
& ! [U_6326,U_6323,U_6325,U_6324] :
( r2_hidden(U_6325,k3_rlsub_1(U_6326,sK776(U_6326,U_6325,U_6324,U_6323),U_6323))
| ~ sP1117(U_6326,U_6323,U_6325,U_6324) )
& ! [U_6326,U_6323,U_6325,U_6324] :
( m1_subset_1(sK776(U_6326,U_6325,U_6324,U_6323),u1_struct_0(U_6326))
| ~ sP1117(U_6326,U_6323,U_6325,U_6324) )
& ! [U_6321,U_6326,U_6323,U_6325,U_6324] :
( sP1117(U_6326,U_6323,U_6325,U_6324)
| ~ r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324))
| ~ sP1118(U_6321,U_6326,U_6323,U_6325,U_6324) )
& ! [U_6321,U_6326,U_6323,U_6325,U_6324] :
( r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324))
| ~ r2_hidden(U_6324,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ r2_hidden(U_6325,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ m1_subset_1(U_6321,u1_struct_0(U_6326))
| ~ sP1118(U_6321,U_6326,U_6323,U_6325,U_6324) )
& ! [U_6321,U_6326,U_6323,U_6325,U_6324] :
( sP1118(U_6321,U_6326,U_6323,U_6325,U_6324)
| ~ m1_rlsub_1(U_6323,U_6326)
| ~ m1_subset_1(U_6324,u1_struct_0(U_6326))
| ~ m1_subset_1(U_6325,u1_struct_0(U_6326))
| ~ l2_rlvect_1(U_6326)
| ~ v7_rlvect_1(U_6326)
| ~ v6_rlvect_1(U_6326)
| ~ v5_rlvect_1(U_6326)
| ~ v4_rlvect_1(U_6326)
| ~ v3_rlvect_1(U_6326)
| v3_struct_0(U_6326) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1117,sP1118])],[f_2425_3]) ).
cnf(f_2425_5,plain,
( sP1118(U_6321,U_6326,U_6323,U_6325,U_6324)
| ~ m1_rlsub_1(U_6323,U_6326)
| ~ m1_subset_1(U_6324,u1_struct_0(U_6326))
| ~ m1_subset_1(U_6325,u1_struct_0(U_6326))
| ~ l2_rlvect_1(U_6326)
| ~ v7_rlvect_1(U_6326)
| ~ v6_rlvect_1(U_6326)
| ~ v5_rlvect_1(U_6326)
| ~ v4_rlvect_1(U_6326)
| ~ v3_rlvect_1(U_6326)
| v3_struct_0(U_6326) ),
inference(clausify,[status(thm)],[f_2425_4]) ).
cnf(f_2425_6,plain,
( r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324))
| ~ r2_hidden(U_6324,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ r2_hidden(U_6325,k3_rlsub_1(U_6326,U_6321,U_6323))
| ~ m1_subset_1(U_6321,u1_struct_0(U_6326))
| ~ sP1118(U_6321,U_6326,U_6323,U_6325,U_6324) ),
inference(clausify,[status(thm)],[f_2425_4]) ).
cnf(f_2425_7,plain,
( sP1117(U_6326,U_6323,U_6325,U_6324)
| ~ r1_rlvect_1(U_6323,k6_rlvect_1(U_6326,U_6325,U_6324))
| ~ sP1118(U_6321,U_6326,U_6323,U_6325,U_6324) ),
inference(clausify,[status(thm)],[f_2425_4]) ).
cnf(f_2425_8,plain,
( m1_subset_1(sK776(U_6326,U_6325,U_6324,U_6323),u1_struct_0(U_6326))
| ~ sP1117(U_6326,U_6323,U_6325,U_6324) ),
inference(clausify,[status(thm)],[f_2425_4]) ).
cnf(f_2425_9,plain,
( r2_hidden(U_6325,k3_rlsub_1(U_6326,sK776(U_6326,U_6325,U_6324,U_6323),U_6323))
| ~ sP1117(U_6326,U_6323,U_6325,U_6324) ),
inference(clausify,[status(thm)],[f_2425_4]) ).
cnf(f_2425_10,plain,
( r2_hidden(U_6324,k3_rlsub_1(U_6326,sK776(U_6326,U_6325,U_6324,U_6323),U_6323))
| ~ sP1117(U_6326,U_6323,U_6325,U_6324) ),
inference(clausify,[status(thm)],[f_2425_4]) ).
fof(f_2426_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ? [E] :
( k4_rlvect_1(A,B,E) = C
& r1_rlvect_1(D,E)
& m1_subset_1(E,u1_struct_0(A)) )
| k3_rlsub_1(A,B,D) != k3_rlsub_1(A,C,D)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t82_rlsub_1]) ).
fof(f_2426_2,plain,
! [U_6331] :
( ! [U_6330] :
( ! [U_6329] :
( ! [U_6328] :
( ? [U_6327] :
( k4_rlvect_1(U_6331,U_6330,U_6327) = U_6329
& r1_rlvect_1(U_6328,U_6327)
& m1_subset_1(U_6327,u1_struct_0(U_6331)) )
| k3_rlsub_1(U_6331,U_6330,U_6328) != k3_rlsub_1(U_6331,U_6329,U_6328)
| ~ m1_rlsub_1(U_6328,U_6331) )
| ~ m1_subset_1(U_6329,u1_struct_0(U_6331)) )
| ~ m1_subset_1(U_6330,u1_struct_0(U_6331)) )
| ~ l2_rlvect_1(U_6331)
| ~ v7_rlvect_1(U_6331)
| ~ v6_rlvect_1(U_6331)
| ~ v5_rlvect_1(U_6331)
| ~ v4_rlvect_1(U_6331)
| ~ v3_rlvect_1(U_6331)
| v3_struct_0(U_6331) ),
inference(variable_rename,[status(thm)],[f_2426_1]) ).
fof(f_2426_3,plain,
! [U_6331] :
( ! [U_6330] :
( ! [U_6329] :
( ! [U_6328] :
( ( k4_rlvect_1(U_6331,U_6330,sK777(U_6331,U_6330,U_6329,U_6328)) = U_6329
& r1_rlvect_1(U_6328,sK777(U_6331,U_6330,U_6329,U_6328))
& m1_subset_1(sK777(U_6331,U_6330,U_6329,U_6328),u1_struct_0(U_6331)) )
| k3_rlsub_1(U_6331,U_6330,U_6328) != k3_rlsub_1(U_6331,U_6329,U_6328)
| ~ m1_rlsub_1(U_6328,U_6331) )
| ~ m1_subset_1(U_6329,u1_struct_0(U_6331)) )
| ~ m1_subset_1(U_6330,u1_struct_0(U_6331)) )
| ~ l2_rlvect_1(U_6331)
| ~ v7_rlvect_1(U_6331)
| ~ v6_rlvect_1(U_6331)
| ~ v5_rlvect_1(U_6331)
| ~ v4_rlvect_1(U_6331)
| ~ v3_rlvect_1(U_6331)
| v3_struct_0(U_6331) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK777]),skolemize(U_6327,sK777(U_6331,U_6330,U_6329,U_6328))],[f_2426_2]) ).
fof(f_2426_4,plain,
( ! [U_6330,U_6329,U_6331,U_6328] :
( k4_rlvect_1(U_6331,U_6330,sK777(U_6331,U_6330,U_6329,U_6328)) = U_6329
| ~ sP1119(U_6330,U_6329,U_6331,U_6328) )
& ! [U_6330,U_6329,U_6331,U_6328] :
( r1_rlvect_1(U_6328,sK777(U_6331,U_6330,U_6329,U_6328))
| ~ sP1119(U_6330,U_6329,U_6331,U_6328) )
& ! [U_6330,U_6329,U_6331,U_6328] :
( m1_subset_1(sK777(U_6331,U_6330,U_6329,U_6328),u1_struct_0(U_6331))
| ~ sP1119(U_6330,U_6329,U_6331,U_6328) )
& ! [U_6330,U_6329,U_6331,U_6328] :
( sP1119(U_6330,U_6329,U_6331,U_6328)
| k3_rlsub_1(U_6331,U_6330,U_6328) != k3_rlsub_1(U_6331,U_6329,U_6328)
| ~ m1_rlsub_1(U_6328,U_6331)
| ~ m1_subset_1(U_6329,u1_struct_0(U_6331))
| ~ m1_subset_1(U_6330,u1_struct_0(U_6331))
| ~ l2_rlvect_1(U_6331)
| ~ v7_rlvect_1(U_6331)
| ~ v6_rlvect_1(U_6331)
| ~ v5_rlvect_1(U_6331)
| ~ v4_rlvect_1(U_6331)
| ~ v3_rlvect_1(U_6331)
| v3_struct_0(U_6331) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1119])],[f_2426_3]) ).
cnf(f_2426_5,plain,
( sP1119(U_6330,U_6329,U_6331,U_6328)
| k3_rlsub_1(U_6331,U_6330,U_6328) != k3_rlsub_1(U_6331,U_6329,U_6328)
| ~ m1_rlsub_1(U_6328,U_6331)
| ~ m1_subset_1(U_6329,u1_struct_0(U_6331))
| ~ m1_subset_1(U_6330,u1_struct_0(U_6331))
| ~ l2_rlvect_1(U_6331)
| ~ v7_rlvect_1(U_6331)
| ~ v6_rlvect_1(U_6331)
| ~ v5_rlvect_1(U_6331)
| ~ v4_rlvect_1(U_6331)
| ~ v3_rlvect_1(U_6331)
| v3_struct_0(U_6331) ),
inference(clausify,[status(thm)],[f_2426_4]) ).
cnf(f_2426_6,plain,
( m1_subset_1(sK777(U_6331,U_6330,U_6329,U_6328),u1_struct_0(U_6331))
| ~ sP1119(U_6330,U_6329,U_6331,U_6328) ),
inference(clausify,[status(thm)],[f_2426_4]) ).
cnf(f_2426_7,plain,
( r1_rlvect_1(U_6328,sK777(U_6331,U_6330,U_6329,U_6328))
| ~ sP1119(U_6330,U_6329,U_6331,U_6328) ),
inference(clausify,[status(thm)],[f_2426_4]) ).
cnf(f_2426_8,plain,
( k4_rlvect_1(U_6331,U_6330,sK777(U_6331,U_6330,U_6329,U_6328)) = U_6329
| ~ sP1119(U_6330,U_6329,U_6331,U_6328) ),
inference(clausify,[status(thm)],[f_2426_4]) ).
fof(f_2427_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ? [E] :
( k6_rlvect_1(A,B,E) = C
& r1_rlvect_1(D,E)
& m1_subset_1(E,u1_struct_0(A)) )
| k3_rlsub_1(A,B,D) != k3_rlsub_1(A,C,D)
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t83_rlsub_1]) ).
fof(f_2427_2,plain,
! [U_6336] :
( ! [U_6335] :
( ! [U_6334] :
( ! [U_6333] :
( ? [U_6332] :
( k6_rlvect_1(U_6336,U_6335,U_6332) = U_6334
& r1_rlvect_1(U_6333,U_6332)
& m1_subset_1(U_6332,u1_struct_0(U_6336)) )
| k3_rlsub_1(U_6336,U_6335,U_6333) != k3_rlsub_1(U_6336,U_6334,U_6333)
| ~ m1_rlsub_1(U_6333,U_6336) )
| ~ m1_subset_1(U_6334,u1_struct_0(U_6336)) )
| ~ m1_subset_1(U_6335,u1_struct_0(U_6336)) )
| ~ l2_rlvect_1(U_6336)
| ~ v7_rlvect_1(U_6336)
| ~ v6_rlvect_1(U_6336)
| ~ v5_rlvect_1(U_6336)
| ~ v4_rlvect_1(U_6336)
| ~ v3_rlvect_1(U_6336)
| v3_struct_0(U_6336) ),
inference(variable_rename,[status(thm)],[f_2427_1]) ).
fof(f_2427_3,plain,
! [U_6336] :
( ! [U_6335] :
( ! [U_6334] :
( ! [U_6333] :
( ( k6_rlvect_1(U_6336,U_6335,sK778(U_6336,U_6335,U_6334,U_6333)) = U_6334
& r1_rlvect_1(U_6333,sK778(U_6336,U_6335,U_6334,U_6333))
& m1_subset_1(sK778(U_6336,U_6335,U_6334,U_6333),u1_struct_0(U_6336)) )
| k3_rlsub_1(U_6336,U_6335,U_6333) != k3_rlsub_1(U_6336,U_6334,U_6333)
| ~ m1_rlsub_1(U_6333,U_6336) )
| ~ m1_subset_1(U_6334,u1_struct_0(U_6336)) )
| ~ m1_subset_1(U_6335,u1_struct_0(U_6336)) )
| ~ l2_rlvect_1(U_6336)
| ~ v7_rlvect_1(U_6336)
| ~ v6_rlvect_1(U_6336)
| ~ v5_rlvect_1(U_6336)
| ~ v4_rlvect_1(U_6336)
| ~ v3_rlvect_1(U_6336)
| v3_struct_0(U_6336) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK778]),skolemize(U_6332,sK778(U_6336,U_6335,U_6334,U_6333))],[f_2427_2]) ).
fof(f_2427_4,plain,
( ! [U_6334,U_6333,U_6335,U_6336] :
( k6_rlvect_1(U_6336,U_6335,sK778(U_6336,U_6335,U_6334,U_6333)) = U_6334
| ~ sP1120(U_6334,U_6333,U_6335,U_6336) )
& ! [U_6334,U_6333,U_6335,U_6336] :
( r1_rlvect_1(U_6333,sK778(U_6336,U_6335,U_6334,U_6333))
| ~ sP1120(U_6334,U_6333,U_6335,U_6336) )
& ! [U_6334,U_6333,U_6335,U_6336] :
( m1_subset_1(sK778(U_6336,U_6335,U_6334,U_6333),u1_struct_0(U_6336))
| ~ sP1120(U_6334,U_6333,U_6335,U_6336) )
& ! [U_6334,U_6333,U_6335,U_6336] :
( sP1120(U_6334,U_6333,U_6335,U_6336)
| k3_rlsub_1(U_6336,U_6335,U_6333) != k3_rlsub_1(U_6336,U_6334,U_6333)
| ~ m1_rlsub_1(U_6333,U_6336)
| ~ m1_subset_1(U_6334,u1_struct_0(U_6336))
| ~ m1_subset_1(U_6335,u1_struct_0(U_6336))
| ~ l2_rlvect_1(U_6336)
| ~ v7_rlvect_1(U_6336)
| ~ v6_rlvect_1(U_6336)
| ~ v5_rlvect_1(U_6336)
| ~ v4_rlvect_1(U_6336)
| ~ v3_rlvect_1(U_6336)
| v3_struct_0(U_6336) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1120])],[f_2427_3]) ).
cnf(f_2427_5,plain,
( sP1120(U_6334,U_6333,U_6335,U_6336)
| k3_rlsub_1(U_6336,U_6335,U_6333) != k3_rlsub_1(U_6336,U_6334,U_6333)
| ~ m1_rlsub_1(U_6333,U_6336)
| ~ m1_subset_1(U_6334,u1_struct_0(U_6336))
| ~ m1_subset_1(U_6335,u1_struct_0(U_6336))
| ~ l2_rlvect_1(U_6336)
| ~ v7_rlvect_1(U_6336)
| ~ v6_rlvect_1(U_6336)
| ~ v5_rlvect_1(U_6336)
| ~ v4_rlvect_1(U_6336)
| ~ v3_rlvect_1(U_6336)
| v3_struct_0(U_6336) ),
inference(clausify,[status(thm)],[f_2427_4]) ).
cnf(f_2427_6,plain,
( m1_subset_1(sK778(U_6336,U_6335,U_6334,U_6333),u1_struct_0(U_6336))
| ~ sP1120(U_6334,U_6333,U_6335,U_6336) ),
inference(clausify,[status(thm)],[f_2427_4]) ).
cnf(f_2427_7,plain,
( r1_rlvect_1(U_6333,sK778(U_6336,U_6335,U_6334,U_6333))
| ~ sP1120(U_6334,U_6333,U_6335,U_6336) ),
inference(clausify,[status(thm)],[f_2427_4]) ).
cnf(f_2427_8,plain,
( k6_rlvect_1(U_6336,U_6335,sK778(U_6336,U_6335,U_6334,U_6333)) = U_6334
| ~ sP1120(U_6334,U_6333,U_6335,U_6336) ),
inference(clausify,[status(thm)],[f_2427_4]) ).
fof(f_2428_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k3_rlsub_1(A,B,C) = k3_rlsub_1(A,B,D)
| C != D )
& ( C = D
| k3_rlsub_1(A,B,C) != k3_rlsub_1(A,B,D) ) )
| ~ m1_rlsub_1(D,A)
| ~ v2_rlvect_1(D) )
| ~ m1_rlsub_1(C,A)
| ~ v2_rlvect_1(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t84_rlsub_1]) ).
fof(f_2428_2,plain,
! [U_6340] :
( ! [U_6339] :
( ! [U_6338] :
( ! [U_6337] :
( ( ( k3_rlsub_1(U_6340,U_6339,U_6338) = k3_rlsub_1(U_6340,U_6339,U_6337)
| U_6338 != U_6337 )
& ( U_6338 = U_6337
| k3_rlsub_1(U_6340,U_6339,U_6338) != k3_rlsub_1(U_6340,U_6339,U_6337) ) )
| ~ m1_rlsub_1(U_6337,U_6340)
| ~ v2_rlvect_1(U_6337) )
| ~ m1_rlsub_1(U_6338,U_6340)
| ~ v2_rlvect_1(U_6338) )
| ~ m1_subset_1(U_6339,u1_struct_0(U_6340)) )
| ~ l2_rlvect_1(U_6340)
| ~ v7_rlvect_1(U_6340)
| ~ v6_rlvect_1(U_6340)
| ~ v5_rlvect_1(U_6340)
| ~ v4_rlvect_1(U_6340)
| ~ v3_rlvect_1(U_6340)
| v3_struct_0(U_6340) ),
inference(variable_rename,[status(thm)],[f_2428_1]) ).
fof(f_2428_3,plain,
( ! [U_6340,U_6339,U_6338,U_6337] :
( k3_rlsub_1(U_6340,U_6339,U_6338) = k3_rlsub_1(U_6340,U_6339,U_6337)
| U_6338 != U_6337
| ~ sP1121(U_6340,U_6339,U_6338,U_6337) )
& ! [U_6340,U_6339,U_6338,U_6337] :
( U_6338 = U_6337
| k3_rlsub_1(U_6340,U_6339,U_6338) != k3_rlsub_1(U_6340,U_6339,U_6337)
| ~ sP1121(U_6340,U_6339,U_6338,U_6337) )
& ! [U_6340,U_6339,U_6338,U_6337] :
( sP1121(U_6340,U_6339,U_6338,U_6337)
| ~ m1_rlsub_1(U_6337,U_6340)
| ~ v2_rlvect_1(U_6337)
| ~ m1_rlsub_1(U_6338,U_6340)
| ~ v2_rlvect_1(U_6338)
| ~ m1_subset_1(U_6339,u1_struct_0(U_6340))
| ~ l2_rlvect_1(U_6340)
| ~ v7_rlvect_1(U_6340)
| ~ v6_rlvect_1(U_6340)
| ~ v5_rlvect_1(U_6340)
| ~ v4_rlvect_1(U_6340)
| ~ v3_rlvect_1(U_6340)
| v3_struct_0(U_6340) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1121])],[f_2428_2]) ).
cnf(f_2428_4,plain,
( sP1121(U_6340,U_6339,U_6338,U_6337)
| ~ m1_rlsub_1(U_6337,U_6340)
| ~ v2_rlvect_1(U_6337)
| ~ m1_rlsub_1(U_6338,U_6340)
| ~ v2_rlvect_1(U_6338)
| ~ m1_subset_1(U_6339,u1_struct_0(U_6340))
| ~ l2_rlvect_1(U_6340)
| ~ v7_rlvect_1(U_6340)
| ~ v6_rlvect_1(U_6340)
| ~ v5_rlvect_1(U_6340)
| ~ v4_rlvect_1(U_6340)
| ~ v3_rlvect_1(U_6340)
| v3_struct_0(U_6340) ),
inference(clausify,[status(thm)],[f_2428_3]) ).
cnf(f_2428_5,plain,
( U_6338 = U_6337
| k3_rlsub_1(U_6340,U_6339,U_6338) != k3_rlsub_1(U_6340,U_6339,U_6337)
| ~ sP1121(U_6340,U_6339,U_6338,U_6337) ),
inference(clausify,[status(thm)],[f_2428_3]) ).
cnf(f_2428_6,plain,
( k3_rlsub_1(U_6340,U_6339,U_6338) = k3_rlsub_1(U_6340,U_6339,U_6337)
| U_6338 != U_6337
| ~ sP1121(U_6340,U_6339,U_6338,U_6337) ),
inference(clausify,[status(thm)],[f_2428_3]) ).
fof(f_2429_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( D = E
| k3_rlsub_1(A,B,D) != k3_rlsub_1(A,C,E)
| ~ m1_rlsub_1(E,A)
| ~ v2_rlvect_1(E) )
| ~ m1_rlsub_1(D,A)
| ~ v2_rlvect_1(D) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t85_rlsub_1]) ).
fof(f_2429_2,plain,
! [U_6345] :
( ! [U_6344] :
( ! [U_6343] :
( ! [U_6342] :
( ! [U_6341] :
( U_6342 = U_6341
| k3_rlsub_1(U_6345,U_6344,U_6342) != k3_rlsub_1(U_6345,U_6343,U_6341)
| ~ m1_rlsub_1(U_6341,U_6345)
| ~ v2_rlvect_1(U_6341) )
| ~ m1_rlsub_1(U_6342,U_6345)
| ~ v2_rlvect_1(U_6342) )
| ~ m1_subset_1(U_6343,u1_struct_0(U_6345)) )
| ~ m1_subset_1(U_6344,u1_struct_0(U_6345)) )
| ~ l2_rlvect_1(U_6345)
| ~ v7_rlvect_1(U_6345)
| ~ v6_rlvect_1(U_6345)
| ~ v5_rlvect_1(U_6345)
| ~ v4_rlvect_1(U_6345)
| ~ v3_rlvect_1(U_6345)
| v3_struct_0(U_6345) ),
inference(variable_rename,[status(thm)],[f_2429_1]) ).
fof(f_2429_3,plain,
! [U_6343,U_6342,U_6345,U_6341,U_6344] :
( U_6342 = U_6341
| k3_rlsub_1(U_6345,U_6344,U_6342) != k3_rlsub_1(U_6345,U_6343,U_6341)
| ~ m1_rlsub_1(U_6341,U_6345)
| ~ v2_rlvect_1(U_6341)
| ~ m1_rlsub_1(U_6342,U_6345)
| ~ v2_rlvect_1(U_6342)
| ~ m1_subset_1(U_6343,u1_struct_0(U_6345))
| ~ m1_subset_1(U_6344,u1_struct_0(U_6345))
| ~ l2_rlvect_1(U_6345)
| ~ v7_rlvect_1(U_6345)
| ~ v6_rlvect_1(U_6345)
| ~ v5_rlvect_1(U_6345)
| ~ v4_rlvect_1(U_6345)
| ~ v3_rlvect_1(U_6345)
| v3_struct_0(U_6345) ),
inference(definitional_conversion,[status(esa)],[f_2429_2]) ).
cnf(f_2429_4,plain,
( U_6342 = U_6341
| k3_rlsub_1(U_6345,U_6344,U_6342) != k3_rlsub_1(U_6345,U_6343,U_6341)
| ~ m1_rlsub_1(U_6341,U_6345)
| ~ v2_rlvect_1(U_6341)
| ~ m1_rlsub_1(U_6342,U_6345)
| ~ v2_rlvect_1(U_6342)
| ~ m1_subset_1(U_6343,u1_struct_0(U_6345))
| ~ m1_subset_1(U_6344,u1_struct_0(U_6345))
| ~ l2_rlvect_1(U_6345)
| ~ v7_rlvect_1(U_6345)
| ~ v6_rlvect_1(U_6345)
| ~ v5_rlvect_1(U_6345)
| ~ v4_rlvect_1(U_6345)
| ~ v3_rlvect_1(U_6345)
| v3_struct_0(U_6345) ),
inference(clausify,[status(thm)],[f_2429_3]) ).
fof(f_2430_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( v1_rlsub_1(C,A)
| C != u1_struct_0(B) )
& ( C = u1_struct_0(B)
| ~ v1_rlsub_1(C,A) ) )
| ~ m2_rlsub_1(C,A,B) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t86_rlsub_1]) ).
fof(f_2430_2,plain,
! [U_6348] :
( ! [U_6347] :
( ! [U_6346] :
( ( ( v1_rlsub_1(U_6346,U_6348)
| U_6346 != u1_struct_0(U_6347) )
& ( U_6346 = u1_struct_0(U_6347)
| ~ v1_rlsub_1(U_6346,U_6348) ) )
| ~ m2_rlsub_1(U_6346,U_6348,U_6347) )
| ~ m1_rlsub_1(U_6347,U_6348) )
| ~ l2_rlvect_1(U_6348)
| ~ v7_rlvect_1(U_6348)
| ~ v6_rlvect_1(U_6348)
| ~ v5_rlvect_1(U_6348)
| ~ v4_rlvect_1(U_6348)
| ~ v3_rlvect_1(U_6348)
| v3_struct_0(U_6348) ),
inference(variable_rename,[status(thm)],[f_2430_1]) ).
fof(f_2430_3,plain,
( ! [U_6347,U_6348,U_6346] :
( v1_rlsub_1(U_6346,U_6348)
| U_6346 != u1_struct_0(U_6347)
| ~ sP1122(U_6347,U_6348,U_6346) )
& ! [U_6347,U_6348,U_6346] :
( U_6346 = u1_struct_0(U_6347)
| ~ v1_rlsub_1(U_6346,U_6348)
| ~ sP1122(U_6347,U_6348,U_6346) )
& ! [U_6347,U_6348,U_6346] :
( sP1122(U_6347,U_6348,U_6346)
| ~ m2_rlsub_1(U_6346,U_6348,U_6347)
| ~ m1_rlsub_1(U_6347,U_6348)
| ~ l2_rlvect_1(U_6348)
| ~ v7_rlvect_1(U_6348)
| ~ v6_rlvect_1(U_6348)
| ~ v5_rlvect_1(U_6348)
| ~ v4_rlvect_1(U_6348)
| ~ v3_rlvect_1(U_6348)
| v3_struct_0(U_6348) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1122])],[f_2430_2]) ).
cnf(f_2430_4,plain,
( sP1122(U_6347,U_6348,U_6346)
| ~ m2_rlsub_1(U_6346,U_6348,U_6347)
| ~ m1_rlsub_1(U_6347,U_6348)
| ~ l2_rlvect_1(U_6348)
| ~ v7_rlvect_1(U_6348)
| ~ v6_rlvect_1(U_6348)
| ~ v5_rlvect_1(U_6348)
| ~ v4_rlvect_1(U_6348)
| ~ v3_rlvect_1(U_6348)
| v3_struct_0(U_6348) ),
inference(clausify,[status(thm)],[f_2430_3]) ).
cnf(f_2430_5,plain,
( U_6346 = u1_struct_0(U_6347)
| ~ v1_rlsub_1(U_6346,U_6348)
| ~ sP1122(U_6347,U_6348,U_6346) ),
inference(clausify,[status(thm)],[f_2430_3]) ).
cnf(f_2430_6,plain,
( v1_rlsub_1(U_6346,U_6348)
| U_6346 != u1_struct_0(U_6347)
| ~ sP1122(U_6347,U_6348,U_6346) ),
inference(clausify,[status(thm)],[f_2430_3]) ).
fof(f_2431_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( B = C
| D != E
| ~ m2_rlsub_1(E,A,C) )
| ~ m2_rlsub_1(D,A,B) )
| ~ m1_rlsub_1(C,A)
| ~ v2_rlvect_1(C) )
| ~ m1_rlsub_1(B,A)
| ~ v2_rlvect_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t87_rlsub_1]) ).
fof(f_2431_2,plain,
! [U_6353] :
( ! [U_6352] :
( ! [U_6351] :
( ! [U_6350] :
( ! [U_6349] :
( U_6352 = U_6351
| U_6350 != U_6349
| ~ m2_rlsub_1(U_6349,U_6353,U_6351) )
| ~ m2_rlsub_1(U_6350,U_6353,U_6352) )
| ~ m1_rlsub_1(U_6351,U_6353)
| ~ v2_rlvect_1(U_6351) )
| ~ m1_rlsub_1(U_6352,U_6353)
| ~ v2_rlvect_1(U_6352) )
| ~ l2_rlvect_1(U_6353)
| ~ v7_rlvect_1(U_6353)
| ~ v6_rlvect_1(U_6353)
| ~ v5_rlvect_1(U_6353)
| ~ v4_rlvect_1(U_6353)
| ~ v3_rlvect_1(U_6353)
| v3_struct_0(U_6353) ),
inference(variable_rename,[status(thm)],[f_2431_1]) ).
fof(f_2431_3,plain,
! [U_6353,U_6352,U_6349,U_6351,U_6350] :
( U_6352 = U_6351
| U_6350 != U_6349
| ~ m2_rlsub_1(U_6349,U_6353,U_6351)
| ~ m2_rlsub_1(U_6350,U_6353,U_6352)
| ~ m1_rlsub_1(U_6351,U_6353)
| ~ v2_rlvect_1(U_6351)
| ~ m1_rlsub_1(U_6352,U_6353)
| ~ v2_rlvect_1(U_6352)
| ~ l2_rlvect_1(U_6353)
| ~ v7_rlvect_1(U_6353)
| ~ v6_rlvect_1(U_6353)
| ~ v5_rlvect_1(U_6353)
| ~ v4_rlvect_1(U_6353)
| ~ v3_rlvect_1(U_6353)
| v3_struct_0(U_6353) ),
inference(definitional_conversion,[status(esa)],[f_2431_2]) ).
cnf(f_2431_4,plain,
( U_6352 = U_6351
| U_6350 != U_6349
| ~ m2_rlsub_1(U_6349,U_6353,U_6351)
| ~ m2_rlsub_1(U_6350,U_6353,U_6352)
| ~ m1_rlsub_1(U_6351,U_6353)
| ~ v2_rlvect_1(U_6351)
| ~ m1_rlsub_1(U_6352,U_6353)
| ~ v2_rlvect_1(U_6352)
| ~ l2_rlvect_1(U_6353)
| ~ v7_rlvect_1(U_6353)
| ~ v6_rlvect_1(U_6353)
| ~ v5_rlvect_1(U_6353)
| ~ v4_rlvect_1(U_6353)
| ~ v3_rlvect_1(U_6353)
| v3_struct_0(U_6353) ),
inference(clausify,[status(thm)],[f_2431_3]) ).
fof(f_2432_1,plain,
! [A] :
( ! [B] :
( m2_rlsub_1(k1_struct_0(A,B),A,k1_rlsub_1(A))
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t88_rlsub_1]) ).
fof(f_2432_2,plain,
! [U_6355] :
( ! [U_6354] :
( m2_rlsub_1(k1_struct_0(U_6355,U_6354),U_6355,k1_rlsub_1(U_6355))
| ~ m1_subset_1(U_6354,u1_struct_0(U_6355)) )
| ~ l2_rlvect_1(U_6355)
| ~ v7_rlvect_1(U_6355)
| ~ v6_rlvect_1(U_6355)
| ~ v5_rlvect_1(U_6355)
| ~ v4_rlvect_1(U_6355)
| ~ v3_rlvect_1(U_6355)
| v3_struct_0(U_6355) ),
inference(variable_rename,[status(thm)],[f_2432_1]) ).
fof(f_2432_3,plain,
! [U_6355,U_6354] :
( m2_rlsub_1(k1_struct_0(U_6355,U_6354),U_6355,k1_rlsub_1(U_6355))
| ~ m1_subset_1(U_6354,u1_struct_0(U_6355))
| ~ l2_rlvect_1(U_6355)
| ~ v7_rlvect_1(U_6355)
| ~ v6_rlvect_1(U_6355)
| ~ v5_rlvect_1(U_6355)
| ~ v4_rlvect_1(U_6355)
| ~ v3_rlvect_1(U_6355)
| v3_struct_0(U_6355) ),
inference(definitional_conversion,[status(esa)],[f_2432_2]) ).
cnf(f_2432_4,plain,
( m2_rlsub_1(k1_struct_0(U_6355,U_6354),U_6355,k1_rlsub_1(U_6355))
| ~ m1_subset_1(U_6354,u1_struct_0(U_6355))
| ~ l2_rlvect_1(U_6355)
| ~ v7_rlvect_1(U_6355)
| ~ v6_rlvect_1(U_6355)
| ~ v5_rlvect_1(U_6355)
| ~ v4_rlvect_1(U_6355)
| ~ v3_rlvect_1(U_6355)
| v3_struct_0(U_6355) ),
inference(clausify,[status(thm)],[f_2432_3]) ).
fof(f_2433_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( B = k1_struct_0(A,C)
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m2_rlsub_1(B,A,k1_rlsub_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t89_rlsub_1]) ).
fof(f_2433_2,plain,
! [U_6358] :
( ! [U_6357] :
( ? [U_6356] :
( U_6357 = k1_struct_0(U_6358,U_6356)
& m1_subset_1(U_6356,u1_struct_0(U_6358)) )
| ~ m2_rlsub_1(U_6357,U_6358,k1_rlsub_1(U_6358))
| ~ m1_subset_1(U_6357,k1_zfmisc_1(u1_struct_0(U_6358))) )
| ~ l2_rlvect_1(U_6358)
| ~ v7_rlvect_1(U_6358)
| ~ v6_rlvect_1(U_6358)
| ~ v5_rlvect_1(U_6358)
| ~ v4_rlvect_1(U_6358)
| ~ v3_rlvect_1(U_6358)
| v3_struct_0(U_6358) ),
inference(variable_rename,[status(thm)],[f_2433_1]) ).
fof(f_2433_3,plain,
! [U_6358] :
( ! [U_6357] :
( ( U_6357 = k1_struct_0(U_6358,sK779(U_6358,U_6357))
& m1_subset_1(sK779(U_6358,U_6357),u1_struct_0(U_6358)) )
| ~ m2_rlsub_1(U_6357,U_6358,k1_rlsub_1(U_6358))
| ~ m1_subset_1(U_6357,k1_zfmisc_1(u1_struct_0(U_6358))) )
| ~ l2_rlvect_1(U_6358)
| ~ v7_rlvect_1(U_6358)
| ~ v6_rlvect_1(U_6358)
| ~ v5_rlvect_1(U_6358)
| ~ v4_rlvect_1(U_6358)
| ~ v3_rlvect_1(U_6358)
| v3_struct_0(U_6358) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK779]),skolemize(U_6356,sK779(U_6358,U_6357))],[f_2433_2]) ).
fof(f_2433_4,plain,
( ! [U_6358,U_6357] :
( U_6357 = k1_struct_0(U_6358,sK779(U_6358,U_6357))
| ~ sP1123(U_6358,U_6357) )
& ! [U_6358,U_6357] :
( m1_subset_1(sK779(U_6358,U_6357),u1_struct_0(U_6358))
| ~ sP1123(U_6358,U_6357) )
& ! [U_6358,U_6357] :
( sP1123(U_6358,U_6357)
| ~ m2_rlsub_1(U_6357,U_6358,k1_rlsub_1(U_6358))
| ~ m1_subset_1(U_6357,k1_zfmisc_1(u1_struct_0(U_6358)))
| ~ l2_rlvect_1(U_6358)
| ~ v7_rlvect_1(U_6358)
| ~ v6_rlvect_1(U_6358)
| ~ v5_rlvect_1(U_6358)
| ~ v4_rlvect_1(U_6358)
| ~ v3_rlvect_1(U_6358)
| v3_struct_0(U_6358) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1123])],[f_2433_3]) ).
cnf(f_2433_5,plain,
( sP1123(U_6358,U_6357)
| ~ m2_rlsub_1(U_6357,U_6358,k1_rlsub_1(U_6358))
| ~ m1_subset_1(U_6357,k1_zfmisc_1(u1_struct_0(U_6358)))
| ~ l2_rlvect_1(U_6358)
| ~ v7_rlvect_1(U_6358)
| ~ v6_rlvect_1(U_6358)
| ~ v5_rlvect_1(U_6358)
| ~ v4_rlvect_1(U_6358)
| ~ v3_rlvect_1(U_6358)
| v3_struct_0(U_6358) ),
inference(clausify,[status(thm)],[f_2433_4]) ).
cnf(f_2433_6,plain,
( m1_subset_1(sK779(U_6358,U_6357),u1_struct_0(U_6358))
| ~ sP1123(U_6358,U_6357) ),
inference(clausify,[status(thm)],[f_2433_4]) ).
cnf(f_2433_7,plain,
( U_6357 = k1_struct_0(U_6358,sK779(U_6358,U_6357))
| ~ sP1123(U_6358,U_6357) ),
inference(clausify,[status(thm)],[f_2433_4]) ).
fof(f_2434_1,plain,
! [A] :
( ! [B] :
( m2_rlsub_1(u1_struct_0(B),A,B)
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t90_rlsub_1]) ).
fof(f_2434_2,plain,
! [U_6360] :
( ! [U_6359] :
( m2_rlsub_1(u1_struct_0(U_6359),U_6360,U_6359)
| ~ m1_rlsub_1(U_6359,U_6360) )
| ~ l2_rlvect_1(U_6360)
| ~ v7_rlvect_1(U_6360)
| ~ v6_rlvect_1(U_6360)
| ~ v5_rlvect_1(U_6360)
| ~ v4_rlvect_1(U_6360)
| ~ v3_rlvect_1(U_6360)
| v3_struct_0(U_6360) ),
inference(variable_rename,[status(thm)],[f_2434_1]) ).
fof(f_2434_3,plain,
! [U_6360,U_6359] :
( m2_rlsub_1(u1_struct_0(U_6359),U_6360,U_6359)
| ~ m1_rlsub_1(U_6359,U_6360)
| ~ l2_rlvect_1(U_6360)
| ~ v7_rlvect_1(U_6360)
| ~ v6_rlvect_1(U_6360)
| ~ v5_rlvect_1(U_6360)
| ~ v4_rlvect_1(U_6360)
| ~ v3_rlvect_1(U_6360)
| v3_struct_0(U_6360) ),
inference(definitional_conversion,[status(esa)],[f_2434_2]) ).
cnf(f_2434_4,plain,
( m2_rlsub_1(u1_struct_0(U_6359),U_6360,U_6359)
| ~ m1_rlsub_1(U_6359,U_6360)
| ~ l2_rlvect_1(U_6360)
| ~ v7_rlvect_1(U_6360)
| ~ v6_rlvect_1(U_6360)
| ~ v5_rlvect_1(U_6360)
| ~ v4_rlvect_1(U_6360)
| ~ v3_rlvect_1(U_6360)
| v3_struct_0(U_6360) ),
inference(clausify,[status(thm)],[f_2434_3]) ).
fof(f_2435_1,plain,
! [A] :
( m2_rlsub_1(u1_struct_0(A),A,k2_rlsub_1(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t91_rlsub_1]) ).
fof(f_2435_2,plain,
! [U_6361] :
( m2_rlsub_1(u1_struct_0(U_6361),U_6361,k2_rlsub_1(U_6361))
| ~ l2_rlvect_1(U_6361)
| ~ v7_rlvect_1(U_6361)
| ~ v6_rlvect_1(U_6361)
| ~ v5_rlvect_1(U_6361)
| ~ v4_rlvect_1(U_6361)
| ~ v3_rlvect_1(U_6361)
| v3_struct_0(U_6361) ),
inference(variable_rename,[status(thm)],[f_2435_1]) ).
fof(f_2435_3,plain,
! [U_6361] :
( m2_rlsub_1(u1_struct_0(U_6361),U_6361,k2_rlsub_1(U_6361))
| ~ l2_rlvect_1(U_6361)
| ~ v7_rlvect_1(U_6361)
| ~ v6_rlvect_1(U_6361)
| ~ v5_rlvect_1(U_6361)
| ~ v4_rlvect_1(U_6361)
| ~ v3_rlvect_1(U_6361)
| v3_struct_0(U_6361) ),
inference(definitional_conversion,[status(esa)],[f_2435_2]) ).
cnf(f_2435_4,plain,
( m2_rlsub_1(u1_struct_0(U_6361),U_6361,k2_rlsub_1(U_6361))
| ~ l2_rlvect_1(U_6361)
| ~ v7_rlvect_1(U_6361)
| ~ v6_rlvect_1(U_6361)
| ~ v5_rlvect_1(U_6361)
| ~ v4_rlvect_1(U_6361)
| ~ v3_rlvect_1(U_6361)
| v3_struct_0(U_6361) ),
inference(clausify,[status(thm)],[f_2435_3]) ).
fof(f_2436_1,plain,
! [A] :
( ! [B] :
( B = u1_struct_0(A)
| ~ m2_rlsub_1(B,A,k2_rlsub_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t92_rlsub_1]) ).
fof(f_2436_2,plain,
! [U_6363] :
( ! [U_6362] :
( U_6362 = u1_struct_0(U_6363)
| ~ m2_rlsub_1(U_6362,U_6363,k2_rlsub_1(U_6363))
| ~ m1_subset_1(U_6362,k1_zfmisc_1(u1_struct_0(U_6363))) )
| ~ l2_rlvect_1(U_6363)
| ~ v7_rlvect_1(U_6363)
| ~ v6_rlvect_1(U_6363)
| ~ v5_rlvect_1(U_6363)
| ~ v4_rlvect_1(U_6363)
| ~ v3_rlvect_1(U_6363)
| v3_struct_0(U_6363) ),
inference(variable_rename,[status(thm)],[f_2436_1]) ).
fof(f_2436_3,plain,
! [U_6362,U_6363] :
( U_6362 = u1_struct_0(U_6363)
| ~ m2_rlsub_1(U_6362,U_6363,k2_rlsub_1(U_6363))
| ~ m1_subset_1(U_6362,k1_zfmisc_1(u1_struct_0(U_6363)))
| ~ l2_rlvect_1(U_6363)
| ~ v7_rlvect_1(U_6363)
| ~ v6_rlvect_1(U_6363)
| ~ v5_rlvect_1(U_6363)
| ~ v4_rlvect_1(U_6363)
| ~ v3_rlvect_1(U_6363)
| v3_struct_0(U_6363) ),
inference(definitional_conversion,[status(esa)],[f_2436_2]) ).
cnf(f_2436_4,plain,
( U_6362 = u1_struct_0(U_6363)
| ~ m2_rlsub_1(U_6362,U_6363,k2_rlsub_1(U_6363))
| ~ m1_subset_1(U_6362,k1_zfmisc_1(u1_struct_0(U_6363)))
| ~ l2_rlvect_1(U_6363)
| ~ v7_rlvect_1(U_6363)
| ~ v6_rlvect_1(U_6363)
| ~ v5_rlvect_1(U_6363)
| ~ v4_rlvect_1(U_6363)
| ~ v3_rlvect_1(U_6363)
| v3_struct_0(U_6363) ),
inference(clausify,[status(thm)],[f_2436_3]) ).
fof(f_2437_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(k1_rlvect_1(A),C)
| C != u1_struct_0(B) )
& ( C = u1_struct_0(B)
| ~ r2_hidden(k1_rlvect_1(A),C) ) )
| ~ m2_rlsub_1(C,A,B) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t93_rlsub_1]) ).
fof(f_2437_2,plain,
! [U_6366] :
( ! [U_6365] :
( ! [U_6364] :
( ( ( r2_hidden(k1_rlvect_1(U_6366),U_6364)
| U_6364 != u1_struct_0(U_6365) )
& ( U_6364 = u1_struct_0(U_6365)
| ~ r2_hidden(k1_rlvect_1(U_6366),U_6364) ) )
| ~ m2_rlsub_1(U_6364,U_6366,U_6365) )
| ~ m1_rlsub_1(U_6365,U_6366) )
| ~ l2_rlvect_1(U_6366)
| ~ v7_rlvect_1(U_6366)
| ~ v6_rlvect_1(U_6366)
| ~ v5_rlvect_1(U_6366)
| ~ v4_rlvect_1(U_6366)
| ~ v3_rlvect_1(U_6366)
| v3_struct_0(U_6366) ),
inference(variable_rename,[status(thm)],[f_2437_1]) ).
fof(f_2437_3,plain,
( ! [U_6364,U_6365,U_6366] :
( r2_hidden(k1_rlvect_1(U_6366),U_6364)
| U_6364 != u1_struct_0(U_6365)
| ~ sP1124(U_6364,U_6365,U_6366) )
& ! [U_6364,U_6365,U_6366] :
( U_6364 = u1_struct_0(U_6365)
| ~ r2_hidden(k1_rlvect_1(U_6366),U_6364)
| ~ sP1124(U_6364,U_6365,U_6366) )
& ! [U_6364,U_6365,U_6366] :
( sP1124(U_6364,U_6365,U_6366)
| ~ m2_rlsub_1(U_6364,U_6366,U_6365)
| ~ m1_rlsub_1(U_6365,U_6366)
| ~ l2_rlvect_1(U_6366)
| ~ v7_rlvect_1(U_6366)
| ~ v6_rlvect_1(U_6366)
| ~ v5_rlvect_1(U_6366)
| ~ v4_rlvect_1(U_6366)
| ~ v3_rlvect_1(U_6366)
| v3_struct_0(U_6366) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1124])],[f_2437_2]) ).
cnf(f_2437_4,plain,
( sP1124(U_6364,U_6365,U_6366)
| ~ m2_rlsub_1(U_6364,U_6366,U_6365)
| ~ m1_rlsub_1(U_6365,U_6366)
| ~ l2_rlvect_1(U_6366)
| ~ v7_rlvect_1(U_6366)
| ~ v6_rlvect_1(U_6366)
| ~ v5_rlvect_1(U_6366)
| ~ v4_rlvect_1(U_6366)
| ~ v3_rlvect_1(U_6366)
| v3_struct_0(U_6366) ),
inference(clausify,[status(thm)],[f_2437_3]) ).
cnf(f_2437_5,plain,
( U_6364 = u1_struct_0(U_6365)
| ~ r2_hidden(k1_rlvect_1(U_6366),U_6364)
| ~ sP1124(U_6364,U_6365,U_6366) ),
inference(clausify,[status(thm)],[f_2437_3]) ).
cnf(f_2437_6,plain,
( r2_hidden(k1_rlvect_1(U_6366),U_6364)
| U_6364 != u1_struct_0(U_6365)
| ~ sP1124(U_6364,U_6365,U_6366) ),
inference(clausify,[status(thm)],[f_2437_3]) ).
fof(f_2438_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(B,D)
| D != k3_rlsub_1(A,B,C) )
& ( D = k3_rlsub_1(A,B,C)
| ~ r2_hidden(B,D) ) )
| ~ m2_rlsub_1(D,A,C) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t94_rlsub_1]) ).
fof(f_2438_2,plain,
! [U_6370] :
( ! [U_6369] :
( ! [U_6368] :
( ! [U_6367] :
( ( ( r2_hidden(U_6369,U_6367)
| U_6367 != k3_rlsub_1(U_6370,U_6369,U_6368) )
& ( U_6367 = k3_rlsub_1(U_6370,U_6369,U_6368)
| ~ r2_hidden(U_6369,U_6367) ) )
| ~ m2_rlsub_1(U_6367,U_6370,U_6368) )
| ~ m1_rlsub_1(U_6368,U_6370) )
| ~ m1_subset_1(U_6369,u1_struct_0(U_6370)) )
| ~ l2_rlvect_1(U_6370)
| ~ v7_rlvect_1(U_6370)
| ~ v6_rlvect_1(U_6370)
| ~ v5_rlvect_1(U_6370)
| ~ v4_rlvect_1(U_6370)
| ~ v3_rlvect_1(U_6370)
| v3_struct_0(U_6370) ),
inference(variable_rename,[status(thm)],[f_2438_1]) ).
fof(f_2438_3,plain,
( ! [U_6368,U_6369,U_6367,U_6370] :
( r2_hidden(U_6369,U_6367)
| U_6367 != k3_rlsub_1(U_6370,U_6369,U_6368)
| ~ sP1125(U_6368,U_6369,U_6367,U_6370) )
& ! [U_6368,U_6369,U_6367,U_6370] :
( U_6367 = k3_rlsub_1(U_6370,U_6369,U_6368)
| ~ r2_hidden(U_6369,U_6367)
| ~ sP1125(U_6368,U_6369,U_6367,U_6370) )
& ! [U_6368,U_6369,U_6367,U_6370] :
( sP1125(U_6368,U_6369,U_6367,U_6370)
| ~ m2_rlsub_1(U_6367,U_6370,U_6368)
| ~ m1_rlsub_1(U_6368,U_6370)
| ~ m1_subset_1(U_6369,u1_struct_0(U_6370))
| ~ l2_rlvect_1(U_6370)
| ~ v7_rlvect_1(U_6370)
| ~ v6_rlvect_1(U_6370)
| ~ v5_rlvect_1(U_6370)
| ~ v4_rlvect_1(U_6370)
| ~ v3_rlvect_1(U_6370)
| v3_struct_0(U_6370) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1125])],[f_2438_2]) ).
cnf(f_2438_4,plain,
( sP1125(U_6368,U_6369,U_6367,U_6370)
| ~ m2_rlsub_1(U_6367,U_6370,U_6368)
| ~ m1_rlsub_1(U_6368,U_6370)
| ~ m1_subset_1(U_6369,u1_struct_0(U_6370))
| ~ l2_rlvect_1(U_6370)
| ~ v7_rlvect_1(U_6370)
| ~ v6_rlvect_1(U_6370)
| ~ v5_rlvect_1(U_6370)
| ~ v4_rlvect_1(U_6370)
| ~ v3_rlvect_1(U_6370)
| v3_struct_0(U_6370) ),
inference(clausify,[status(thm)],[f_2438_3]) ).
cnf(f_2438_5,plain,
( U_6367 = k3_rlsub_1(U_6370,U_6369,U_6368)
| ~ r2_hidden(U_6369,U_6367)
| ~ sP1125(U_6368,U_6369,U_6367,U_6370) ),
inference(clausify,[status(thm)],[f_2438_3]) ).
cnf(f_2438_6,plain,
( r2_hidden(U_6369,U_6367)
| U_6367 != k3_rlsub_1(U_6370,U_6369,U_6368)
| ~ sP1125(U_6368,U_6369,U_6367,U_6370) ),
inference(clausify,[status(thm)],[f_2438_3]) ).
fof(f_2439_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ? [F] :
( k4_rlvect_1(A,B,F) = C
& r1_rlvect_1(D,F)
& m1_subset_1(F,u1_struct_0(A)) )
| ~ r2_hidden(C,E)
| ~ r2_hidden(B,E)
| ~ m2_rlsub_1(E,A,D) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t95_rlsub_1]) ).
fof(f_2439_2,plain,
! [U_6376] :
( ! [U_6375] :
( ! [U_6374] :
( ! [U_6373] :
( ! [U_6372] :
( ? [U_6371] :
( k4_rlvect_1(U_6376,U_6375,U_6371) = U_6374
& r1_rlvect_1(U_6373,U_6371)
& m1_subset_1(U_6371,u1_struct_0(U_6376)) )
| ~ r2_hidden(U_6374,U_6372)
| ~ r2_hidden(U_6375,U_6372)
| ~ m2_rlsub_1(U_6372,U_6376,U_6373) )
| ~ m1_rlsub_1(U_6373,U_6376) )
| ~ m1_subset_1(U_6374,u1_struct_0(U_6376)) )
| ~ m1_subset_1(U_6375,u1_struct_0(U_6376)) )
| ~ l2_rlvect_1(U_6376)
| ~ v7_rlvect_1(U_6376)
| ~ v6_rlvect_1(U_6376)
| ~ v5_rlvect_1(U_6376)
| ~ v4_rlvect_1(U_6376)
| ~ v3_rlvect_1(U_6376)
| v3_struct_0(U_6376) ),
inference(variable_rename,[status(thm)],[f_2439_1]) ).
fof(f_2439_3,plain,
! [U_6376] :
( ! [U_6375] :
( ! [U_6374] :
( ! [U_6373] :
( ! [U_6372] :
( ( k4_rlvect_1(U_6376,U_6375,sK780(U_6376,U_6375,U_6374,U_6373,U_6372)) = U_6374
& r1_rlvect_1(U_6373,sK780(U_6376,U_6375,U_6374,U_6373,U_6372))
& m1_subset_1(sK780(U_6376,U_6375,U_6374,U_6373,U_6372),u1_struct_0(U_6376)) )
| ~ r2_hidden(U_6374,U_6372)
| ~ r2_hidden(U_6375,U_6372)
| ~ m2_rlsub_1(U_6372,U_6376,U_6373) )
| ~ m1_rlsub_1(U_6373,U_6376) )
| ~ m1_subset_1(U_6374,u1_struct_0(U_6376)) )
| ~ m1_subset_1(U_6375,u1_struct_0(U_6376)) )
| ~ l2_rlvect_1(U_6376)
| ~ v7_rlvect_1(U_6376)
| ~ v6_rlvect_1(U_6376)
| ~ v5_rlvect_1(U_6376)
| ~ v4_rlvect_1(U_6376)
| ~ v3_rlvect_1(U_6376)
| v3_struct_0(U_6376) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK780]),skolemize(U_6371,sK780(U_6376,U_6375,U_6374,U_6373,U_6372))],[f_2439_2]) ).
fof(f_2439_4,plain,
( ! [U_6376,U_6375,U_6373,U_6374,U_6372] :
( k4_rlvect_1(U_6376,U_6375,sK780(U_6376,U_6375,U_6374,U_6373,U_6372)) = U_6374
| ~ sP1126(U_6376,U_6375,U_6373,U_6374,U_6372) )
& ! [U_6376,U_6375,U_6373,U_6374,U_6372] :
( r1_rlvect_1(U_6373,sK780(U_6376,U_6375,U_6374,U_6373,U_6372))
| ~ sP1126(U_6376,U_6375,U_6373,U_6374,U_6372) )
& ! [U_6376,U_6375,U_6373,U_6374,U_6372] :
( m1_subset_1(sK780(U_6376,U_6375,U_6374,U_6373,U_6372),u1_struct_0(U_6376))
| ~ sP1126(U_6376,U_6375,U_6373,U_6374,U_6372) )
& ! [U_6376,U_6375,U_6373,U_6374,U_6372] :
( sP1126(U_6376,U_6375,U_6373,U_6374,U_6372)
| ~ r2_hidden(U_6374,U_6372)
| ~ r2_hidden(U_6375,U_6372)
| ~ m2_rlsub_1(U_6372,U_6376,U_6373)
| ~ m1_rlsub_1(U_6373,U_6376)
| ~ m1_subset_1(U_6374,u1_struct_0(U_6376))
| ~ m1_subset_1(U_6375,u1_struct_0(U_6376))
| ~ l2_rlvect_1(U_6376)
| ~ v7_rlvect_1(U_6376)
| ~ v6_rlvect_1(U_6376)
| ~ v5_rlvect_1(U_6376)
| ~ v4_rlvect_1(U_6376)
| ~ v3_rlvect_1(U_6376)
| v3_struct_0(U_6376) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1126])],[f_2439_3]) ).
cnf(f_2439_5,plain,
( sP1126(U_6376,U_6375,U_6373,U_6374,U_6372)
| ~ r2_hidden(U_6374,U_6372)
| ~ r2_hidden(U_6375,U_6372)
| ~ m2_rlsub_1(U_6372,U_6376,U_6373)
| ~ m1_rlsub_1(U_6373,U_6376)
| ~ m1_subset_1(U_6374,u1_struct_0(U_6376))
| ~ m1_subset_1(U_6375,u1_struct_0(U_6376))
| ~ l2_rlvect_1(U_6376)
| ~ v7_rlvect_1(U_6376)
| ~ v6_rlvect_1(U_6376)
| ~ v5_rlvect_1(U_6376)
| ~ v4_rlvect_1(U_6376)
| ~ v3_rlvect_1(U_6376)
| v3_struct_0(U_6376) ),
inference(clausify,[status(thm)],[f_2439_4]) ).
cnf(f_2439_6,plain,
( m1_subset_1(sK780(U_6376,U_6375,U_6374,U_6373,U_6372),u1_struct_0(U_6376))
| ~ sP1126(U_6376,U_6375,U_6373,U_6374,U_6372) ),
inference(clausify,[status(thm)],[f_2439_4]) ).
cnf(f_2439_7,plain,
( r1_rlvect_1(U_6373,sK780(U_6376,U_6375,U_6374,U_6373,U_6372))
| ~ sP1126(U_6376,U_6375,U_6373,U_6374,U_6372) ),
inference(clausify,[status(thm)],[f_2439_4]) ).
cnf(f_2439_8,plain,
( k4_rlvect_1(U_6376,U_6375,sK780(U_6376,U_6375,U_6374,U_6373,U_6372)) = U_6374
| ~ sP1126(U_6376,U_6375,U_6373,U_6374,U_6372) ),
inference(clausify,[status(thm)],[f_2439_4]) ).
fof(f_2440_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ? [F] :
( k6_rlvect_1(A,B,F) = C
& r1_rlvect_1(D,F)
& m1_subset_1(F,u1_struct_0(A)) )
| ~ r2_hidden(C,E)
| ~ r2_hidden(B,E)
| ~ m2_rlsub_1(E,A,D) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t96_rlsub_1]) ).
fof(f_2440_2,plain,
! [U_6382] :
( ! [U_6381] :
( ! [U_6380] :
( ! [U_6379] :
( ! [U_6378] :
( ? [U_6377] :
( k6_rlvect_1(U_6382,U_6381,U_6377) = U_6380
& r1_rlvect_1(U_6379,U_6377)
& m1_subset_1(U_6377,u1_struct_0(U_6382)) )
| ~ r2_hidden(U_6380,U_6378)
| ~ r2_hidden(U_6381,U_6378)
| ~ m2_rlsub_1(U_6378,U_6382,U_6379) )
| ~ m1_rlsub_1(U_6379,U_6382) )
| ~ m1_subset_1(U_6380,u1_struct_0(U_6382)) )
| ~ m1_subset_1(U_6381,u1_struct_0(U_6382)) )
| ~ l2_rlvect_1(U_6382)
| ~ v7_rlvect_1(U_6382)
| ~ v6_rlvect_1(U_6382)
| ~ v5_rlvect_1(U_6382)
| ~ v4_rlvect_1(U_6382)
| ~ v3_rlvect_1(U_6382)
| v3_struct_0(U_6382) ),
inference(variable_rename,[status(thm)],[f_2440_1]) ).
fof(f_2440_3,plain,
! [U_6382] :
( ! [U_6381] :
( ! [U_6380] :
( ! [U_6379] :
( ! [U_6378] :
( ( k6_rlvect_1(U_6382,U_6381,sK781(U_6382,U_6381,U_6380,U_6379,U_6378)) = U_6380
& r1_rlvect_1(U_6379,sK781(U_6382,U_6381,U_6380,U_6379,U_6378))
& m1_subset_1(sK781(U_6382,U_6381,U_6380,U_6379,U_6378),u1_struct_0(U_6382)) )
| ~ r2_hidden(U_6380,U_6378)
| ~ r2_hidden(U_6381,U_6378)
| ~ m2_rlsub_1(U_6378,U_6382,U_6379) )
| ~ m1_rlsub_1(U_6379,U_6382) )
| ~ m1_subset_1(U_6380,u1_struct_0(U_6382)) )
| ~ m1_subset_1(U_6381,u1_struct_0(U_6382)) )
| ~ l2_rlvect_1(U_6382)
| ~ v7_rlvect_1(U_6382)
| ~ v6_rlvect_1(U_6382)
| ~ v5_rlvect_1(U_6382)
| ~ v4_rlvect_1(U_6382)
| ~ v3_rlvect_1(U_6382)
| v3_struct_0(U_6382) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK781]),skolemize(U_6377,sK781(U_6382,U_6381,U_6380,U_6379,U_6378))],[f_2440_2]) ).
fof(f_2440_4,plain,
( ! [U_6378,U_6380,U_6379,U_6382,U_6381] :
( k6_rlvect_1(U_6382,U_6381,sK781(U_6382,U_6381,U_6380,U_6379,U_6378)) = U_6380
| ~ sP1127(U_6378,U_6380,U_6379,U_6382,U_6381) )
& ! [U_6378,U_6380,U_6379,U_6382,U_6381] :
( r1_rlvect_1(U_6379,sK781(U_6382,U_6381,U_6380,U_6379,U_6378))
| ~ sP1127(U_6378,U_6380,U_6379,U_6382,U_6381) )
& ! [U_6378,U_6380,U_6379,U_6382,U_6381] :
( m1_subset_1(sK781(U_6382,U_6381,U_6380,U_6379,U_6378),u1_struct_0(U_6382))
| ~ sP1127(U_6378,U_6380,U_6379,U_6382,U_6381) )
& ! [U_6378,U_6380,U_6379,U_6382,U_6381] :
( sP1127(U_6378,U_6380,U_6379,U_6382,U_6381)
| ~ r2_hidden(U_6380,U_6378)
| ~ r2_hidden(U_6381,U_6378)
| ~ m2_rlsub_1(U_6378,U_6382,U_6379)
| ~ m1_rlsub_1(U_6379,U_6382)
| ~ m1_subset_1(U_6380,u1_struct_0(U_6382))
| ~ m1_subset_1(U_6381,u1_struct_0(U_6382))
| ~ l2_rlvect_1(U_6382)
| ~ v7_rlvect_1(U_6382)
| ~ v6_rlvect_1(U_6382)
| ~ v5_rlvect_1(U_6382)
| ~ v4_rlvect_1(U_6382)
| ~ v3_rlvect_1(U_6382)
| v3_struct_0(U_6382) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1127])],[f_2440_3]) ).
cnf(f_2440_5,plain,
( sP1127(U_6378,U_6380,U_6379,U_6382,U_6381)
| ~ r2_hidden(U_6380,U_6378)
| ~ r2_hidden(U_6381,U_6378)
| ~ m2_rlsub_1(U_6378,U_6382,U_6379)
| ~ m1_rlsub_1(U_6379,U_6382)
| ~ m1_subset_1(U_6380,u1_struct_0(U_6382))
| ~ m1_subset_1(U_6381,u1_struct_0(U_6382))
| ~ l2_rlvect_1(U_6382)
| ~ v7_rlvect_1(U_6382)
| ~ v6_rlvect_1(U_6382)
| ~ v5_rlvect_1(U_6382)
| ~ v4_rlvect_1(U_6382)
| ~ v3_rlvect_1(U_6382)
| v3_struct_0(U_6382) ),
inference(clausify,[status(thm)],[f_2440_4]) ).
cnf(f_2440_6,plain,
( m1_subset_1(sK781(U_6382,U_6381,U_6380,U_6379,U_6378),u1_struct_0(U_6382))
| ~ sP1127(U_6378,U_6380,U_6379,U_6382,U_6381) ),
inference(clausify,[status(thm)],[f_2440_4]) ).
cnf(f_2440_7,plain,
( r1_rlvect_1(U_6379,sK781(U_6382,U_6381,U_6380,U_6379,U_6378))
| ~ sP1127(U_6378,U_6380,U_6379,U_6382,U_6381) ),
inference(clausify,[status(thm)],[f_2440_4]) ).
cnf(f_2440_8,plain,
( k6_rlvect_1(U_6382,U_6381,sK781(U_6382,U_6381,U_6380,U_6379,U_6378)) = U_6380
| ~ sP1127(U_6378,U_6380,U_6379,U_6382,U_6381) ),
inference(clausify,[status(thm)],[f_2440_4]) ).
fof(f_2441_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( ? [E] :
( r2_hidden(C,E)
& r2_hidden(B,E)
& m2_rlsub_1(E,A,D) )
| ~ r1_rlvect_1(D,k6_rlvect_1(A,B,C)) )
& ( r1_rlvect_1(D,k6_rlvect_1(A,B,C))
| ! [E] :
( ~ r2_hidden(C,E)
| ~ r2_hidden(B,E)
| ~ m2_rlsub_1(E,A,D) ) ) )
| ~ m1_rlsub_1(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t97_rlsub_1]) ).
fof(f_2441_2,plain,
! [U_6388] :
( ! [U_6387] :
( ! [U_6386] :
( ! [U_6385] :
( ( ( ? [U_6384] :
( r2_hidden(U_6386,U_6384)
& r2_hidden(U_6387,U_6384)
& m2_rlsub_1(U_6384,U_6388,U_6385) )
| ~ r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386)) )
& ( r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386))
| ! [U_6383] :
( ~ r2_hidden(U_6386,U_6383)
| ~ r2_hidden(U_6387,U_6383)
| ~ m2_rlsub_1(U_6383,U_6388,U_6385) ) ) )
| ~ m1_rlsub_1(U_6385,U_6388) )
| ~ m1_subset_1(U_6386,u1_struct_0(U_6388)) )
| ~ m1_subset_1(U_6387,u1_struct_0(U_6388)) )
| ~ l2_rlvect_1(U_6388)
| ~ v7_rlvect_1(U_6388)
| ~ v6_rlvect_1(U_6388)
| ~ v5_rlvect_1(U_6388)
| ~ v4_rlvect_1(U_6388)
| ~ v3_rlvect_1(U_6388)
| v3_struct_0(U_6388) ),
inference(variable_rename,[status(thm)],[f_2441_1]) ).
fof(f_2441_3,plain,
! [U_6388] :
( ! [U_6387] :
( ! [U_6386] :
( ! [U_6385] :
( ( ( ( r2_hidden(U_6386,sK782(U_6388,U_6387,U_6386,U_6385))
& r2_hidden(U_6387,sK782(U_6388,U_6387,U_6386,U_6385))
& m2_rlsub_1(sK782(U_6388,U_6387,U_6386,U_6385),U_6388,U_6385) )
| ~ r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386)) )
& ( r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386))
| ! [U_6383] :
( ~ r2_hidden(U_6386,U_6383)
| ~ r2_hidden(U_6387,U_6383)
| ~ m2_rlsub_1(U_6383,U_6388,U_6385) ) ) )
| ~ m1_rlsub_1(U_6385,U_6388) )
| ~ m1_subset_1(U_6386,u1_struct_0(U_6388)) )
| ~ m1_subset_1(U_6387,u1_struct_0(U_6388)) )
| ~ l2_rlvect_1(U_6388)
| ~ v7_rlvect_1(U_6388)
| ~ v6_rlvect_1(U_6388)
| ~ v5_rlvect_1(U_6388)
| ~ v4_rlvect_1(U_6388)
| ~ v3_rlvect_1(U_6388)
| v3_struct_0(U_6388) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK782]),skolemize(U_6384,sK782(U_6388,U_6387,U_6386,U_6385))],[f_2441_2]) ).
fof(f_2441_4,plain,
( ! [U_6387,U_6385,U_6386,U_6388] :
( r2_hidden(U_6386,sK782(U_6388,U_6387,U_6386,U_6385))
| ~ sP1128(U_6387,U_6385,U_6386,U_6388) )
& ! [U_6387,U_6385,U_6386,U_6388] :
( r2_hidden(U_6387,sK782(U_6388,U_6387,U_6386,U_6385))
| ~ sP1128(U_6387,U_6385,U_6386,U_6388) )
& ! [U_6387,U_6385,U_6386,U_6388] :
( m2_rlsub_1(sK782(U_6388,U_6387,U_6386,U_6385),U_6388,U_6385)
| ~ sP1128(U_6387,U_6385,U_6386,U_6388) )
& ! [U_6387,U_6385,U_6386,U_6388,U_6383] :
( sP1128(U_6387,U_6385,U_6386,U_6388)
| ~ r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386))
| ~ sP1129(U_6387,U_6385,U_6386,U_6388,U_6383) )
& ! [U_6387,U_6385,U_6386,U_6388,U_6383] :
( r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386))
| ~ r2_hidden(U_6386,U_6383)
| ~ r2_hidden(U_6387,U_6383)
| ~ m2_rlsub_1(U_6383,U_6388,U_6385)
| ~ sP1129(U_6387,U_6385,U_6386,U_6388,U_6383) )
& ! [U_6387,U_6385,U_6386,U_6388,U_6383] :
( sP1129(U_6387,U_6385,U_6386,U_6388,U_6383)
| ~ m1_rlsub_1(U_6385,U_6388)
| ~ m1_subset_1(U_6386,u1_struct_0(U_6388))
| ~ m1_subset_1(U_6387,u1_struct_0(U_6388))
| ~ l2_rlvect_1(U_6388)
| ~ v7_rlvect_1(U_6388)
| ~ v6_rlvect_1(U_6388)
| ~ v5_rlvect_1(U_6388)
| ~ v4_rlvect_1(U_6388)
| ~ v3_rlvect_1(U_6388)
| v3_struct_0(U_6388) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1128,sP1129])],[f_2441_3]) ).
cnf(f_2441_5,plain,
( sP1129(U_6387,U_6385,U_6386,U_6388,U_6383)
| ~ m1_rlsub_1(U_6385,U_6388)
| ~ m1_subset_1(U_6386,u1_struct_0(U_6388))
| ~ m1_subset_1(U_6387,u1_struct_0(U_6388))
| ~ l2_rlvect_1(U_6388)
| ~ v7_rlvect_1(U_6388)
| ~ v6_rlvect_1(U_6388)
| ~ v5_rlvect_1(U_6388)
| ~ v4_rlvect_1(U_6388)
| ~ v3_rlvect_1(U_6388)
| v3_struct_0(U_6388) ),
inference(clausify,[status(thm)],[f_2441_4]) ).
cnf(f_2441_6,plain,
( r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386))
| ~ r2_hidden(U_6386,U_6383)
| ~ r2_hidden(U_6387,U_6383)
| ~ m2_rlsub_1(U_6383,U_6388,U_6385)
| ~ sP1129(U_6387,U_6385,U_6386,U_6388,U_6383) ),
inference(clausify,[status(thm)],[f_2441_4]) ).
cnf(f_2441_7,plain,
( sP1128(U_6387,U_6385,U_6386,U_6388)
| ~ r1_rlvect_1(U_6385,k6_rlvect_1(U_6388,U_6387,U_6386))
| ~ sP1129(U_6387,U_6385,U_6386,U_6388,U_6383) ),
inference(clausify,[status(thm)],[f_2441_4]) ).
cnf(f_2441_8,plain,
( m2_rlsub_1(sK782(U_6388,U_6387,U_6386,U_6385),U_6388,U_6385)
| ~ sP1128(U_6387,U_6385,U_6386,U_6388) ),
inference(clausify,[status(thm)],[f_2441_4]) ).
cnf(f_2441_9,plain,
( r2_hidden(U_6387,sK782(U_6388,U_6387,U_6386,U_6385))
| ~ sP1128(U_6387,U_6385,U_6386,U_6388) ),
inference(clausify,[status(thm)],[f_2441_4]) ).
cnf(f_2441_10,plain,
( r2_hidden(U_6386,sK782(U_6388,U_6387,U_6386,U_6385))
| ~ sP1128(U_6387,U_6385,U_6386,U_6388) ),
inference(clausify,[status(thm)],[f_2441_4]) ).
fof(f_2442_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( D = E
| ~ r2_hidden(B,E)
| ~ r2_hidden(B,D)
| ~ m2_rlsub_1(E,A,C) )
| ~ m2_rlsub_1(D,A,C) )
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t98_rlsub_1]) ).
fof(f_2442_2,plain,
! [U_6393] :
( ! [U_6392] :
( ! [U_6391] :
( ! [U_6390] :
( ! [U_6389] :
( U_6390 = U_6389
| ~ r2_hidden(U_6392,U_6389)
| ~ r2_hidden(U_6392,U_6390)
| ~ m2_rlsub_1(U_6389,U_6393,U_6391) )
| ~ m2_rlsub_1(U_6390,U_6393,U_6391) )
| ~ m1_rlsub_1(U_6391,U_6393) )
| ~ m1_subset_1(U_6392,u1_struct_0(U_6393)) )
| ~ l2_rlvect_1(U_6393)
| ~ v7_rlvect_1(U_6393)
| ~ v6_rlvect_1(U_6393)
| ~ v5_rlvect_1(U_6393)
| ~ v4_rlvect_1(U_6393)
| ~ v3_rlvect_1(U_6393)
| v3_struct_0(U_6393) ),
inference(variable_rename,[status(thm)],[f_2442_1]) ).
fof(f_2442_3,plain,
! [U_6392,U_6393,U_6390,U_6389,U_6391] :
( U_6390 = U_6389
| ~ r2_hidden(U_6392,U_6389)
| ~ r2_hidden(U_6392,U_6390)
| ~ m2_rlsub_1(U_6389,U_6393,U_6391)
| ~ m2_rlsub_1(U_6390,U_6393,U_6391)
| ~ m1_rlsub_1(U_6391,U_6393)
| ~ m1_subset_1(U_6392,u1_struct_0(U_6393))
| ~ l2_rlvect_1(U_6393)
| ~ v7_rlvect_1(U_6393)
| ~ v6_rlvect_1(U_6393)
| ~ v5_rlvect_1(U_6393)
| ~ v4_rlvect_1(U_6393)
| ~ v3_rlvect_1(U_6393)
| v3_struct_0(U_6393) ),
inference(definitional_conversion,[status(esa)],[f_2442_2]) ).
cnf(f_2442_4,plain,
( U_6390 = U_6389
| ~ r2_hidden(U_6392,U_6389)
| ~ r2_hidden(U_6392,U_6390)
| ~ m2_rlsub_1(U_6389,U_6393,U_6391)
| ~ m2_rlsub_1(U_6390,U_6393,U_6391)
| ~ m1_rlsub_1(U_6391,U_6393)
| ~ m1_subset_1(U_6392,u1_struct_0(U_6393))
| ~ l2_rlvect_1(U_6393)
| ~ v7_rlvect_1(U_6393)
| ~ v6_rlvect_1(U_6393)
| ~ v5_rlvect_1(U_6393)
| ~ v4_rlvect_1(U_6393)
| ~ v3_rlvect_1(U_6393)
| v3_struct_0(U_6393) ),
inference(clausify,[status(thm)],[f_2442_3]) ).
fof(f_2443_1,plain,
! [A] :
( ! [B] :
( ( l2_rlvect_1(B)
& v7_rlvect_1(B)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
| ~ m1_rlsub_1(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_rlsub_1]) ).
fof(f_2443_2,plain,
! [U_6395] :
( ! [U_6394] :
( ( l2_rlvect_1(U_6394)
& v7_rlvect_1(U_6394)
& v6_rlvect_1(U_6394)
& v5_rlvect_1(U_6394)
& v4_rlvect_1(U_6394)
& v3_rlvect_1(U_6394)
& ~ v3_struct_0(U_6394) )
| ~ m1_rlsub_1(U_6394,U_6395) )
| ~ l2_rlvect_1(U_6395)
| ~ v7_rlvect_1(U_6395)
| ~ v6_rlvect_1(U_6395)
| ~ v5_rlvect_1(U_6395)
| ~ v4_rlvect_1(U_6395)
| ~ v3_rlvect_1(U_6395)
| v3_struct_0(U_6395) ),
inference(variable_rename,[status(thm)],[f_2443_1]) ).
fof(f_2443_3,plain,
( ! [U_6394] :
( l2_rlvect_1(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394] :
( v7_rlvect_1(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394] :
( v6_rlvect_1(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394] :
( v5_rlvect_1(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394] :
( v4_rlvect_1(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394] :
( v3_rlvect_1(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394] :
( ~ v3_struct_0(U_6394)
| ~ sP1130(U_6394) )
& ! [U_6394,U_6395] :
( sP1130(U_6394)
| ~ m1_rlsub_1(U_6394,U_6395)
| ~ l2_rlvect_1(U_6395)
| ~ v7_rlvect_1(U_6395)
| ~ v6_rlvect_1(U_6395)
| ~ v5_rlvect_1(U_6395)
| ~ v4_rlvect_1(U_6395)
| ~ v3_rlvect_1(U_6395)
| v3_struct_0(U_6395) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1130])],[f_2443_2]) ).
cnf(f_2443_4,plain,
( sP1130(U_6394)
| ~ m1_rlsub_1(U_6394,U_6395)
| ~ l2_rlvect_1(U_6395)
| ~ v7_rlvect_1(U_6395)
| ~ v6_rlvect_1(U_6395)
| ~ v5_rlvect_1(U_6395)
| ~ v4_rlvect_1(U_6395)
| ~ v3_rlvect_1(U_6395)
| v3_struct_0(U_6395) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_5,plain,
( ~ v3_struct_0(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_6,plain,
( v3_rlvect_1(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_7,plain,
( v4_rlvect_1(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_8,plain,
( v5_rlvect_1(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_9,plain,
( v6_rlvect_1(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_10,plain,
( v7_rlvect_1(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
cnf(f_2443_11,plain,
( l2_rlvect_1(U_6394)
| ~ sP1130(U_6394) ),
inference(clausify,[status(thm)],[f_2443_3]) ).
fof(f_2444_1,plain,
! [A] :
( ? [B] : m1_rlsub_1(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_rlsub_1]) ).
fof(f_2444_2,plain,
! [U_6397] :
( ? [U_6396] : m1_rlsub_1(U_6396,U_6397)
| ~ l2_rlvect_1(U_6397)
| ~ v7_rlvect_1(U_6397)
| ~ v6_rlvect_1(U_6397)
| ~ v5_rlvect_1(U_6397)
| ~ v4_rlvect_1(U_6397)
| ~ v3_rlvect_1(U_6397)
| v3_struct_0(U_6397) ),
inference(variable_rename,[status(thm)],[f_2444_1]) ).
fof(f_2444_3,plain,
! [U_6397] :
( m1_rlsub_1(sK783(U_6397),U_6397)
| ~ l2_rlvect_1(U_6397)
| ~ v7_rlvect_1(U_6397)
| ~ v6_rlvect_1(U_6397)
| ~ v5_rlvect_1(U_6397)
| ~ v4_rlvect_1(U_6397)
| ~ v3_rlvect_1(U_6397)
| v3_struct_0(U_6397) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK783]),skolemize(U_6396,sK783(U_6397))],[f_2444_2]) ).
fof(f_2444_4,plain,
! [U_6397] :
( m1_rlsub_1(sK783(U_6397),U_6397)
| ~ l2_rlvect_1(U_6397)
| ~ v7_rlvect_1(U_6397)
| ~ v6_rlvect_1(U_6397)
| ~ v5_rlvect_1(U_6397)
| ~ v4_rlvect_1(U_6397)
| ~ v3_rlvect_1(U_6397)
| v3_struct_0(U_6397) ),
inference(definitional_conversion,[status(esa)],[f_2444_3]) ).
cnf(f_2444_5,plain,
( m1_rlsub_1(sK783(U_6397),U_6397)
| ~ l2_rlvect_1(U_6397)
| ~ v7_rlvect_1(U_6397)
| ~ v6_rlvect_1(U_6397)
| ~ v5_rlvect_1(U_6397)
| ~ v4_rlvect_1(U_6397)
| ~ v3_rlvect_1(U_6397)
| v3_struct_0(U_6397) ),
inference(clausify,[status(thm)],[f_2444_4]) ).
fof(f_2445_1,plain,
! [A,B] :
( ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ m2_rlsub_1(C,A,B) )
| ~ m1_rlsub_1(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_rlsub_1]) ).
fof(f_2445_2,plain,
! [U_6400,U_6399] :
( ! [U_6398] :
( m1_subset_1(U_6398,k1_zfmisc_1(u1_struct_0(U_6400)))
| ~ m2_rlsub_1(U_6398,U_6400,U_6399) )
| ~ m1_rlsub_1(U_6399,U_6400)
| ~ l2_rlvect_1(U_6400)
| ~ v7_rlvect_1(U_6400)
| ~ v6_rlvect_1(U_6400)
| ~ v5_rlvect_1(U_6400)
| ~ v4_rlvect_1(U_6400)
| ~ v3_rlvect_1(U_6400)
| v3_struct_0(U_6400) ),
inference(variable_rename,[status(thm)],[f_2445_1]) ).
fof(f_2445_3,plain,
! [U_6400,U_6399,U_6398] :
( m1_subset_1(U_6398,k1_zfmisc_1(u1_struct_0(U_6400)))
| ~ m2_rlsub_1(U_6398,U_6400,U_6399)
| ~ m1_rlsub_1(U_6399,U_6400)
| ~ l2_rlvect_1(U_6400)
| ~ v7_rlvect_1(U_6400)
| ~ v6_rlvect_1(U_6400)
| ~ v5_rlvect_1(U_6400)
| ~ v4_rlvect_1(U_6400)
| ~ v3_rlvect_1(U_6400)
| v3_struct_0(U_6400) ),
inference(definitional_conversion,[status(esa)],[f_2445_2]) ).
cnf(f_2445_4,plain,
( m1_subset_1(U_6398,k1_zfmisc_1(u1_struct_0(U_6400)))
| ~ m2_rlsub_1(U_6398,U_6400,U_6399)
| ~ m1_rlsub_1(U_6399,U_6400)
| ~ l2_rlvect_1(U_6400)
| ~ v7_rlvect_1(U_6400)
| ~ v6_rlvect_1(U_6400)
| ~ v5_rlvect_1(U_6400)
| ~ v4_rlvect_1(U_6400)
| ~ v3_rlvect_1(U_6400)
| v3_struct_0(U_6400) ),
inference(clausify,[status(thm)],[f_2445_3]) ).
fof(f_2446_1,plain,
! [A,B] :
( ? [C] : m2_rlsub_1(C,A,B)
| ~ m1_rlsub_1(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_rlsub_1]) ).
fof(f_2446_2,plain,
! [U_6403,U_6402] :
( ? [U_6401] : m2_rlsub_1(U_6401,U_6403,U_6402)
| ~ m1_rlsub_1(U_6402,U_6403)
| ~ l2_rlvect_1(U_6403)
| ~ v7_rlvect_1(U_6403)
| ~ v6_rlvect_1(U_6403)
| ~ v5_rlvect_1(U_6403)
| ~ v4_rlvect_1(U_6403)
| ~ v3_rlvect_1(U_6403)
| v3_struct_0(U_6403) ),
inference(variable_rename,[status(thm)],[f_2446_1]) ).
fof(f_2446_3,plain,
! [U_6403,U_6402] :
( m2_rlsub_1(sK784(U_6403,U_6402),U_6403,U_6402)
| ~ m1_rlsub_1(U_6402,U_6403)
| ~ l2_rlvect_1(U_6403)
| ~ v7_rlvect_1(U_6403)
| ~ v6_rlvect_1(U_6403)
| ~ v5_rlvect_1(U_6403)
| ~ v4_rlvect_1(U_6403)
| ~ v3_rlvect_1(U_6403)
| v3_struct_0(U_6403) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK784]),skolemize(U_6401,sK784(U_6403,U_6402))],[f_2446_2]) ).
fof(f_2446_4,plain,
! [U_6402,U_6403] :
( m2_rlsub_1(sK784(U_6403,U_6402),U_6403,U_6402)
| ~ m1_rlsub_1(U_6402,U_6403)
| ~ l2_rlvect_1(U_6403)
| ~ v7_rlvect_1(U_6403)
| ~ v6_rlvect_1(U_6403)
| ~ v5_rlvect_1(U_6403)
| ~ v4_rlvect_1(U_6403)
| ~ v3_rlvect_1(U_6403)
| v3_struct_0(U_6403) ),
inference(definitional_conversion,[status(esa)],[f_2446_3]) ).
cnf(f_2446_5,plain,
( m2_rlsub_1(sK784(U_6403,U_6402),U_6403,U_6402)
| ~ m1_rlsub_1(U_6402,U_6403)
| ~ l2_rlvect_1(U_6403)
| ~ v7_rlvect_1(U_6403)
| ~ v6_rlvect_1(U_6403)
| ~ v5_rlvect_1(U_6403)
| ~ v4_rlvect_1(U_6403)
| ~ v3_rlvect_1(U_6403)
| v3_struct_0(U_6403) ),
inference(clausify,[status(thm)],[f_2446_4]) ).
fof(f_2447_1,plain,
! [A] :
( ( m1_rlsub_1(k1_rlsub_1(A),A)
& v2_rlvect_1(k1_rlsub_1(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rlsub_1]) ).
fof(f_2447_2,plain,
! [U_6404] :
( ( m1_rlsub_1(k1_rlsub_1(U_6404),U_6404)
& v2_rlvect_1(k1_rlsub_1(U_6404)) )
| ~ l2_rlvect_1(U_6404)
| ~ v7_rlvect_1(U_6404)
| ~ v6_rlvect_1(U_6404)
| ~ v5_rlvect_1(U_6404)
| ~ v4_rlvect_1(U_6404)
| ~ v3_rlvect_1(U_6404)
| v3_struct_0(U_6404) ),
inference(variable_rename,[status(thm)],[f_2447_1]) ).
fof(f_2447_3,plain,
( ! [U_6404] :
( m1_rlsub_1(k1_rlsub_1(U_6404),U_6404)
| ~ sP1131(U_6404) )
& ! [U_6404] :
( v2_rlvect_1(k1_rlsub_1(U_6404))
| ~ sP1131(U_6404) )
& ! [U_6404] :
( sP1131(U_6404)
| ~ l2_rlvect_1(U_6404)
| ~ v7_rlvect_1(U_6404)
| ~ v6_rlvect_1(U_6404)
| ~ v5_rlvect_1(U_6404)
| ~ v4_rlvect_1(U_6404)
| ~ v3_rlvect_1(U_6404)
| v3_struct_0(U_6404) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1131])],[f_2447_2]) ).
cnf(f_2447_4,plain,
( sP1131(U_6404)
| ~ l2_rlvect_1(U_6404)
| ~ v7_rlvect_1(U_6404)
| ~ v6_rlvect_1(U_6404)
| ~ v5_rlvect_1(U_6404)
| ~ v4_rlvect_1(U_6404)
| ~ v3_rlvect_1(U_6404)
| v3_struct_0(U_6404) ),
inference(clausify,[status(thm)],[f_2447_3]) ).
cnf(f_2447_5,plain,
( v2_rlvect_1(k1_rlsub_1(U_6404))
| ~ sP1131(U_6404) ),
inference(clausify,[status(thm)],[f_2447_3]) ).
cnf(f_2447_6,plain,
( m1_rlsub_1(k1_rlsub_1(U_6404),U_6404)
| ~ sP1131(U_6404) ),
inference(clausify,[status(thm)],[f_2447_3]) ).
fof(f_2448_1,plain,
! [A] :
( ( m1_rlsub_1(k2_rlsub_1(A),A)
& v2_rlvect_1(k2_rlsub_1(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_rlsub_1]) ).
fof(f_2448_2,plain,
! [U_6405] :
( ( m1_rlsub_1(k2_rlsub_1(U_6405),U_6405)
& v2_rlvect_1(k2_rlsub_1(U_6405)) )
| ~ l2_rlvect_1(U_6405)
| ~ v7_rlvect_1(U_6405)
| ~ v6_rlvect_1(U_6405)
| ~ v5_rlvect_1(U_6405)
| ~ v4_rlvect_1(U_6405)
| ~ v3_rlvect_1(U_6405)
| v3_struct_0(U_6405) ),
inference(variable_rename,[status(thm)],[f_2448_1]) ).
fof(f_2448_3,plain,
( ! [U_6405] :
( m1_rlsub_1(k2_rlsub_1(U_6405),U_6405)
| ~ sP1132(U_6405) )
& ! [U_6405] :
( v2_rlvect_1(k2_rlsub_1(U_6405))
| ~ sP1132(U_6405) )
& ! [U_6405] :
( sP1132(U_6405)
| ~ l2_rlvect_1(U_6405)
| ~ v7_rlvect_1(U_6405)
| ~ v6_rlvect_1(U_6405)
| ~ v5_rlvect_1(U_6405)
| ~ v4_rlvect_1(U_6405)
| ~ v3_rlvect_1(U_6405)
| v3_struct_0(U_6405) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1132])],[f_2448_2]) ).
cnf(f_2448_4,plain,
( sP1132(U_6405)
| ~ l2_rlvect_1(U_6405)
| ~ v7_rlvect_1(U_6405)
| ~ v6_rlvect_1(U_6405)
| ~ v5_rlvect_1(U_6405)
| ~ v4_rlvect_1(U_6405)
| ~ v3_rlvect_1(U_6405)
| v3_struct_0(U_6405) ),
inference(clausify,[status(thm)],[f_2448_3]) ).
cnf(f_2448_5,plain,
( v2_rlvect_1(k2_rlsub_1(U_6405))
| ~ sP1132(U_6405) ),
inference(clausify,[status(thm)],[f_2448_3]) ).
cnf(f_2448_6,plain,
( m1_rlsub_1(k2_rlsub_1(U_6405),U_6405)
| ~ sP1132(U_6405) ),
inference(clausify,[status(thm)],[f_2448_3]) ).
fof(f_2449_1,plain,
! [A,B,C] :
( m1_subset_1(k3_rlsub_1(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_rlsub_1(C,A)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_rlsub_1]) ).
fof(f_2449_2,plain,
! [U_6408,U_6407,U_6406] :
( m1_subset_1(k3_rlsub_1(U_6408,U_6407,U_6406),k1_zfmisc_1(u1_struct_0(U_6408)))
| ~ m1_rlsub_1(U_6406,U_6408)
| ~ m1_subset_1(U_6407,u1_struct_0(U_6408))
| ~ l2_rlvect_1(U_6408)
| ~ v7_rlvect_1(U_6408)
| ~ v6_rlvect_1(U_6408)
| ~ v5_rlvect_1(U_6408)
| ~ v4_rlvect_1(U_6408)
| ~ v3_rlvect_1(U_6408)
| v3_struct_0(U_6408) ),
inference(variable_rename,[status(thm)],[f_2449_1]) ).
fof(f_2449_3,plain,
! [U_6408,U_6406,U_6407] :
( m1_subset_1(k3_rlsub_1(U_6408,U_6407,U_6406),k1_zfmisc_1(u1_struct_0(U_6408)))
| ~ m1_rlsub_1(U_6406,U_6408)
| ~ m1_subset_1(U_6407,u1_struct_0(U_6408))
| ~ l2_rlvect_1(U_6408)
| ~ v7_rlvect_1(U_6408)
| ~ v6_rlvect_1(U_6408)
| ~ v5_rlvect_1(U_6408)
| ~ v4_rlvect_1(U_6408)
| ~ v3_rlvect_1(U_6408)
| v3_struct_0(U_6408) ),
inference(definitional_conversion,[status(esa)],[f_2449_2]) ).
cnf(f_2449_4,plain,
( m1_subset_1(k3_rlsub_1(U_6408,U_6407,U_6406),k1_zfmisc_1(u1_struct_0(U_6408)))
| ~ m1_rlsub_1(U_6406,U_6408)
| ~ m1_subset_1(U_6407,u1_struct_0(U_6408))
| ~ l2_rlvect_1(U_6408)
| ~ v7_rlvect_1(U_6408)
| ~ v6_rlvect_1(U_6408)
| ~ v5_rlvect_1(U_6408)
| ~ v4_rlvect_1(U_6408)
| ~ v3_rlvect_1(U_6408)
| v3_struct_0(U_6408) ),
inference(clausify,[status(thm)],[f_2449_3]) ).
fof(f_2450_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( v1_rlsub_1(D,A)
| D != a_3_0_rlsub_1(A,B,C)
| ~ v1_rlsub_1(C,A)
| ~ v1_rlsub_1(B,A)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t9_rlsub_1]) ).
fof(f_2450_2,plain,
! [U_6412] :
( ! [U_6411] :
( ! [U_6410] :
( ! [U_6409] :
( v1_rlsub_1(U_6409,U_6412)
| U_6409 != a_3_0_rlsub_1(U_6412,U_6411,U_6410)
| ~ v1_rlsub_1(U_6410,U_6412)
| ~ v1_rlsub_1(U_6411,U_6412)
| ~ m1_subset_1(U_6409,k1_zfmisc_1(u1_struct_0(U_6412))) )
| ~ m1_subset_1(U_6410,k1_zfmisc_1(u1_struct_0(U_6412))) )
| ~ m1_subset_1(U_6411,k1_zfmisc_1(u1_struct_0(U_6412))) )
| ~ l2_rlvect_1(U_6412)
| ~ v7_rlvect_1(U_6412)
| ~ v6_rlvect_1(U_6412)
| ~ v5_rlvect_1(U_6412)
| ~ v4_rlvect_1(U_6412)
| ~ v3_rlvect_1(U_6412)
| v3_struct_0(U_6412) ),
inference(variable_rename,[status(thm)],[f_2450_1]) ).
fof(f_2450_3,plain,
! [U_6409,U_6410,U_6411,U_6412] :
( v1_rlsub_1(U_6409,U_6412)
| U_6409 != a_3_0_rlsub_1(U_6412,U_6411,U_6410)
| ~ v1_rlsub_1(U_6410,U_6412)
| ~ v1_rlsub_1(U_6411,U_6412)
| ~ m1_subset_1(U_6409,k1_zfmisc_1(u1_struct_0(U_6412)))
| ~ m1_subset_1(U_6410,k1_zfmisc_1(u1_struct_0(U_6412)))
| ~ m1_subset_1(U_6411,k1_zfmisc_1(u1_struct_0(U_6412)))
| ~ l2_rlvect_1(U_6412)
| ~ v7_rlvect_1(U_6412)
| ~ v6_rlvect_1(U_6412)
| ~ v5_rlvect_1(U_6412)
| ~ v4_rlvect_1(U_6412)
| ~ v3_rlvect_1(U_6412)
| v3_struct_0(U_6412) ),
inference(definitional_conversion,[status(esa)],[f_2450_2]) ).
cnf(f_2450_4,plain,
( v1_rlsub_1(U_6409,U_6412)
| U_6409 != a_3_0_rlsub_1(U_6412,U_6411,U_6410)
| ~ v1_rlsub_1(U_6410,U_6412)
| ~ v1_rlsub_1(U_6411,U_6412)
| ~ m1_subset_1(U_6409,k1_zfmisc_1(u1_struct_0(U_6412)))
| ~ m1_subset_1(U_6410,k1_zfmisc_1(u1_struct_0(U_6412)))
| ~ m1_subset_1(U_6411,k1_zfmisc_1(u1_struct_0(U_6412)))
| ~ l2_rlvect_1(U_6412)
| ~ v7_rlvect_1(U_6412)
| ~ v6_rlvect_1(U_6412)
| ~ v5_rlvect_1(U_6412)
| ~ v4_rlvect_1(U_6412)
| ~ v3_rlvect_1(U_6412)
| v3_struct_0(U_6412) ),
inference(clausify,[status(thm)],[f_2450_3]) ).
fof(f_2451_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlsub_1(A,B,C) = a_3_1_rlsub_1(A,B,C)
| ~ m1_rlsub_1(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_rlsub_1]) ).
fof(f_2451_2,plain,
! [U_6415] :
( ! [U_6414] :
( ! [U_6413] :
( k3_rlsub_1(U_6415,U_6414,U_6413) = a_3_1_rlsub_1(U_6415,U_6414,U_6413)
| ~ m1_rlsub_1(U_6413,U_6415) )
| ~ m1_subset_1(U_6414,u1_struct_0(U_6415)) )
| ~ l2_rlvect_1(U_6415)
| ~ v7_rlvect_1(U_6415)
| ~ v6_rlvect_1(U_6415)
| ~ v5_rlvect_1(U_6415)
| ~ v4_rlvect_1(U_6415)
| ~ v3_rlvect_1(U_6415)
| v3_struct_0(U_6415) ),
inference(variable_rename,[status(thm)],[f_2451_1]) ).
fof(f_2451_3,plain,
! [U_6414,U_6413,U_6415] :
( k3_rlsub_1(U_6415,U_6414,U_6413) = a_3_1_rlsub_1(U_6415,U_6414,U_6413)
| ~ m1_rlsub_1(U_6413,U_6415)
| ~ m1_subset_1(U_6414,u1_struct_0(U_6415))
| ~ l2_rlvect_1(U_6415)
| ~ v7_rlvect_1(U_6415)
| ~ v6_rlvect_1(U_6415)
| ~ v5_rlvect_1(U_6415)
| ~ v4_rlvect_1(U_6415)
| ~ v3_rlvect_1(U_6415)
| v3_struct_0(U_6415) ),
inference(definitional_conversion,[status(esa)],[f_2451_2]) ).
cnf(f_2451_4,plain,
( k3_rlsub_1(U_6415,U_6414,U_6413) = a_3_1_rlsub_1(U_6415,U_6414,U_6413)
| ~ m1_rlsub_1(U_6413,U_6415)
| ~ m1_subset_1(U_6414,u1_struct_0(U_6415))
| ~ l2_rlvect_1(U_6415)
| ~ v7_rlvect_1(U_6415)
| ~ v6_rlvect_1(U_6415)
| ~ v5_rlvect_1(U_6415)
| ~ v4_rlvect_1(U_6415)
| ~ v3_rlvect_1(U_6415)
| v3_struct_0(U_6415) ),
inference(clausify,[status(thm)],[f_2451_3]) ).
fof(f_2452_1,plain,
! [A,B,C,D] :
( ( ( r2_hidden(A,a_3_0_rlsub_1(B,C,D))
| ! [E,F] :
( ~ r2_hidden(F,D)
| ~ r2_hidden(E,C)
| A != k4_rlvect_1(B,E,F)
| ~ m1_subset_1(F,u1_struct_0(B))
| ~ m1_subset_1(E,u1_struct_0(B)) ) )
& ( ? [E,F] :
( r2_hidden(F,D)
& r2_hidden(E,C)
& A = k4_rlvect_1(B,E,F)
& m1_subset_1(F,u1_struct_0(B))
& m1_subset_1(E,u1_struct_0(B)) )
| ~ r2_hidden(A,a_3_0_rlsub_1(B,C,D)) ) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_3_0_rlsub_1]) ).
fof(f_2452_2,plain,
! [U_6423,U_6422,U_6421,U_6420] :
( ( ( r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ! [U_6419,U_6418] :
( ~ r2_hidden(U_6418,U_6420)
| ~ r2_hidden(U_6419,U_6421)
| U_6423 != k4_rlvect_1(U_6422,U_6419,U_6418)
| ~ m1_subset_1(U_6418,u1_struct_0(U_6422))
| ~ m1_subset_1(U_6419,u1_struct_0(U_6422)) ) )
& ( ? [U_6417,U_6416] :
( r2_hidden(U_6416,U_6420)
& r2_hidden(U_6417,U_6421)
& U_6423 = k4_rlvect_1(U_6422,U_6417,U_6416)
& m1_subset_1(U_6416,u1_struct_0(U_6422))
& m1_subset_1(U_6417,u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420)) ) )
| ~ m1_subset_1(U_6420,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ m1_subset_1(U_6421,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ l2_rlvect_1(U_6422)
| ~ v7_rlvect_1(U_6422)
| ~ v6_rlvect_1(U_6422)
| ~ v5_rlvect_1(U_6422)
| ~ v4_rlvect_1(U_6422)
| ~ v3_rlvect_1(U_6422)
| v3_struct_0(U_6422) ),
inference(variable_rename,[status(thm)],[f_2452_1]) ).
fof(f_2452_3,plain,
! [U_6423,U_6422,U_6421,U_6420] :
( ( ( r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ! [U_6419] :
( ! [U_6418] :
( ~ r2_hidden(U_6418,U_6420)
| U_6423 != k4_rlvect_1(U_6422,U_6419,U_6418)
| ~ m1_subset_1(U_6418,u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6419,U_6421)
| ~ m1_subset_1(U_6419,u1_struct_0(U_6422)) ) )
& ( ? [U_6417] :
( ? [U_6416] :
( r2_hidden(U_6416,U_6420)
& U_6423 = k4_rlvect_1(U_6422,U_6417,U_6416)
& m1_subset_1(U_6416,u1_struct_0(U_6422)) )
& r2_hidden(U_6417,U_6421)
& m1_subset_1(U_6417,u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420)) ) )
| ~ m1_subset_1(U_6420,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ m1_subset_1(U_6421,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ l2_rlvect_1(U_6422)
| ~ v7_rlvect_1(U_6422)
| ~ v6_rlvect_1(U_6422)
| ~ v5_rlvect_1(U_6422)
| ~ v4_rlvect_1(U_6422)
| ~ v3_rlvect_1(U_6422)
| v3_struct_0(U_6422) ),
inference(miniscope,[status(thm)],[f_2452_2]) ).
fof(f_2452_4,plain,
! [U_6423,U_6422,U_6421,U_6420] :
( ( ( r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ! [U_6419] :
( ! [U_6418] :
( ~ r2_hidden(U_6418,U_6420)
| U_6423 != k4_rlvect_1(U_6422,U_6419,U_6418)
| ~ m1_subset_1(U_6418,u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6419,U_6421)
| ~ m1_subset_1(U_6419,u1_struct_0(U_6422)) ) )
& ( ( ? [U_6416] :
( r2_hidden(U_6416,U_6420)
& U_6423 = k4_rlvect_1(U_6422,sK785(U_6423,U_6422,U_6421,U_6420),U_6416)
& m1_subset_1(U_6416,u1_struct_0(U_6422)) )
& r2_hidden(sK785(U_6423,U_6422,U_6421,U_6420),U_6421)
& m1_subset_1(sK785(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420)) ) )
| ~ m1_subset_1(U_6420,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ m1_subset_1(U_6421,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ l2_rlvect_1(U_6422)
| ~ v7_rlvect_1(U_6422)
| ~ v6_rlvect_1(U_6422)
| ~ v5_rlvect_1(U_6422)
| ~ v4_rlvect_1(U_6422)
| ~ v3_rlvect_1(U_6422)
| v3_struct_0(U_6422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK785]),skolemize(U_6417,sK785(U_6423,U_6422,U_6421,U_6420))],[f_2452_3]) ).
fof(f_2452_5,plain,
! [U_6423,U_6422,U_6421,U_6420] :
( ( ( r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ! [U_6419] :
( ! [U_6418] :
( ~ r2_hidden(U_6418,U_6420)
| U_6423 != k4_rlvect_1(U_6422,U_6419,U_6418)
| ~ m1_subset_1(U_6418,u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6419,U_6421)
| ~ m1_subset_1(U_6419,u1_struct_0(U_6422)) ) )
& ( ( r2_hidden(sK786(U_6423,U_6422,U_6421,U_6420),U_6420)
& U_6423 = k4_rlvect_1(U_6422,sK785(U_6423,U_6422,U_6421,U_6420),sK786(U_6423,U_6422,U_6421,U_6420))
& m1_subset_1(sK786(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422))
& r2_hidden(sK785(U_6423,U_6422,U_6421,U_6420),U_6421)
& m1_subset_1(sK785(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422)) )
| ~ r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420)) ) )
| ~ m1_subset_1(U_6420,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ m1_subset_1(U_6421,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ l2_rlvect_1(U_6422)
| ~ v7_rlvect_1(U_6422)
| ~ v6_rlvect_1(U_6422)
| ~ v5_rlvect_1(U_6422)
| ~ v4_rlvect_1(U_6422)
| ~ v3_rlvect_1(U_6422)
| v3_struct_0(U_6422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK786]),skolemize(U_6416,sK786(U_6423,U_6422,U_6421,U_6420))],[f_2452_4]) ).
fof(f_2452_6,plain,
( ! [U_6420,U_6421,U_6422,U_6423] :
( r2_hidden(sK786(U_6423,U_6422,U_6421,U_6420),U_6420)
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) )
& ! [U_6420,U_6421,U_6422,U_6423] :
( U_6423 = k4_rlvect_1(U_6422,sK785(U_6423,U_6422,U_6421,U_6420),sK786(U_6423,U_6422,U_6421,U_6420))
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) )
& ! [U_6420,U_6421,U_6422,U_6423] :
( m1_subset_1(sK786(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422))
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) )
& ! [U_6420,U_6421,U_6422,U_6423] :
( r2_hidden(sK785(U_6423,U_6422,U_6421,U_6420),U_6421)
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) )
& ! [U_6420,U_6421,U_6422,U_6423] :
( m1_subset_1(sK785(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422))
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) )
& ! [U_6418,U_6419,U_6420,U_6421,U_6422,U_6423] :
( r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ~ r2_hidden(U_6418,U_6420)
| U_6423 != k4_rlvect_1(U_6422,U_6419,U_6418)
| ~ m1_subset_1(U_6418,u1_struct_0(U_6422))
| ~ r2_hidden(U_6419,U_6421)
| ~ m1_subset_1(U_6419,u1_struct_0(U_6422))
| ~ sP1134(U_6418,U_6419,U_6420,U_6421,U_6422,U_6423) )
& ! [U_6418,U_6419,U_6420,U_6421,U_6422,U_6423] :
( sP1133(U_6420,U_6421,U_6422,U_6423)
| ~ r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ~ sP1134(U_6418,U_6419,U_6420,U_6421,U_6422,U_6423) )
& ! [U_6418,U_6419,U_6420,U_6421,U_6422,U_6423] :
( sP1134(U_6418,U_6419,U_6420,U_6421,U_6422,U_6423)
| ~ m1_subset_1(U_6420,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ m1_subset_1(U_6421,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ l2_rlvect_1(U_6422)
| ~ v7_rlvect_1(U_6422)
| ~ v6_rlvect_1(U_6422)
| ~ v5_rlvect_1(U_6422)
| ~ v4_rlvect_1(U_6422)
| ~ v3_rlvect_1(U_6422)
| v3_struct_0(U_6422) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1133,sP1134])],[f_2452_5]) ).
cnf(f_2452_7,plain,
( sP1134(U_6418,U_6419,U_6420,U_6421,U_6422,U_6423)
| ~ m1_subset_1(U_6420,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ m1_subset_1(U_6421,k1_zfmisc_1(u1_struct_0(U_6422)))
| ~ l2_rlvect_1(U_6422)
| ~ v7_rlvect_1(U_6422)
| ~ v6_rlvect_1(U_6422)
| ~ v5_rlvect_1(U_6422)
| ~ v4_rlvect_1(U_6422)
| ~ v3_rlvect_1(U_6422)
| v3_struct_0(U_6422) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_8,plain,
( sP1133(U_6420,U_6421,U_6422,U_6423)
| ~ r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ~ sP1134(U_6418,U_6419,U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_9,plain,
( r2_hidden(U_6423,a_3_0_rlsub_1(U_6422,U_6421,U_6420))
| ~ r2_hidden(U_6418,U_6420)
| U_6423 != k4_rlvect_1(U_6422,U_6419,U_6418)
| ~ m1_subset_1(U_6418,u1_struct_0(U_6422))
| ~ r2_hidden(U_6419,U_6421)
| ~ m1_subset_1(U_6419,u1_struct_0(U_6422))
| ~ sP1134(U_6418,U_6419,U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_10,plain,
( m1_subset_1(sK785(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422))
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_11,plain,
( r2_hidden(sK785(U_6423,U_6422,U_6421,U_6420),U_6421)
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_12,plain,
( m1_subset_1(sK786(U_6423,U_6422,U_6421,U_6420),u1_struct_0(U_6422))
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_13,plain,
( U_6423 = k4_rlvect_1(U_6422,sK785(U_6423,U_6422,U_6421,U_6420),sK786(U_6423,U_6422,U_6421,U_6420))
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
cnf(f_2452_14,plain,
( r2_hidden(sK786(U_6423,U_6422,U_6421,U_6420),U_6420)
| ~ sP1133(U_6420,U_6421,U_6422,U_6423) ),
inference(clausify,[status(thm)],[f_2452_6]) ).
fof(f_2453_1,plain,
! [A,B,C,D] :
( ( ( r2_hidden(A,a_3_1_rlsub_1(B,C,D))
| ! [E] :
( ~ r1_rlvect_1(D,E)
| A != k4_rlvect_1(B,C,E)
| ~ m1_subset_1(E,u1_struct_0(B)) ) )
& ( ? [E] :
( r1_rlvect_1(D,E)
& A = k4_rlvect_1(B,C,E)
& m1_subset_1(E,u1_struct_0(B)) )
| ~ r2_hidden(A,a_3_1_rlsub_1(B,C,D)) ) )
| ~ m1_rlsub_1(D,B)
| ~ m1_subset_1(C,u1_struct_0(B))
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_3_1_rlsub_1]) ).
fof(f_2453_2,plain,
! [U_6429,U_6428,U_6427,U_6426] :
( ( ( r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426))
| ! [U_6425] :
( ~ r1_rlvect_1(U_6426,U_6425)
| U_6429 != k4_rlvect_1(U_6428,U_6427,U_6425)
| ~ m1_subset_1(U_6425,u1_struct_0(U_6428)) ) )
& ( ? [U_6424] :
( r1_rlvect_1(U_6426,U_6424)
& U_6429 = k4_rlvect_1(U_6428,U_6427,U_6424)
& m1_subset_1(U_6424,u1_struct_0(U_6428)) )
| ~ r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426)) ) )
| ~ m1_rlsub_1(U_6426,U_6428)
| ~ m1_subset_1(U_6427,u1_struct_0(U_6428))
| ~ l2_rlvect_1(U_6428)
| ~ v7_rlvect_1(U_6428)
| ~ v6_rlvect_1(U_6428)
| ~ v5_rlvect_1(U_6428)
| ~ v4_rlvect_1(U_6428)
| ~ v3_rlvect_1(U_6428)
| v3_struct_0(U_6428) ),
inference(variable_rename,[status(thm)],[f_2453_1]) ).
fof(f_2453_3,plain,
! [U_6429,U_6428,U_6427,U_6426] :
( ( ( r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426))
| ! [U_6425] :
( ~ r1_rlvect_1(U_6426,U_6425)
| U_6429 != k4_rlvect_1(U_6428,U_6427,U_6425)
| ~ m1_subset_1(U_6425,u1_struct_0(U_6428)) ) )
& ( ( r1_rlvect_1(U_6426,sK787(U_6429,U_6428,U_6427,U_6426))
& U_6429 = k4_rlvect_1(U_6428,U_6427,sK787(U_6429,U_6428,U_6427,U_6426))
& m1_subset_1(sK787(U_6429,U_6428,U_6427,U_6426),u1_struct_0(U_6428)) )
| ~ r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426)) ) )
| ~ m1_rlsub_1(U_6426,U_6428)
| ~ m1_subset_1(U_6427,u1_struct_0(U_6428))
| ~ l2_rlvect_1(U_6428)
| ~ v7_rlvect_1(U_6428)
| ~ v6_rlvect_1(U_6428)
| ~ v5_rlvect_1(U_6428)
| ~ v4_rlvect_1(U_6428)
| ~ v3_rlvect_1(U_6428)
| v3_struct_0(U_6428) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK787]),skolemize(U_6424,sK787(U_6429,U_6428,U_6427,U_6426))],[f_2453_2]) ).
fof(f_2453_4,plain,
( ! [U_6426,U_6429,U_6428,U_6427] :
( r1_rlvect_1(U_6426,sK787(U_6429,U_6428,U_6427,U_6426))
| ~ sP1135(U_6426,U_6429,U_6428,U_6427) )
& ! [U_6426,U_6429,U_6428,U_6427] :
( U_6429 = k4_rlvect_1(U_6428,U_6427,sK787(U_6429,U_6428,U_6427,U_6426))
| ~ sP1135(U_6426,U_6429,U_6428,U_6427) )
& ! [U_6426,U_6429,U_6428,U_6427] :
( m1_subset_1(sK787(U_6429,U_6428,U_6427,U_6426),u1_struct_0(U_6428))
| ~ sP1135(U_6426,U_6429,U_6428,U_6427) )
& ! [U_6425,U_6426,U_6429,U_6428,U_6427] :
( r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426))
| ~ r1_rlvect_1(U_6426,U_6425)
| U_6429 != k4_rlvect_1(U_6428,U_6427,U_6425)
| ~ m1_subset_1(U_6425,u1_struct_0(U_6428))
| ~ sP1136(U_6425,U_6426,U_6429,U_6428,U_6427) )
& ! [U_6425,U_6426,U_6429,U_6428,U_6427] :
( sP1135(U_6426,U_6429,U_6428,U_6427)
| ~ r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426))
| ~ sP1136(U_6425,U_6426,U_6429,U_6428,U_6427) )
& ! [U_6425,U_6426,U_6429,U_6428,U_6427] :
( sP1136(U_6425,U_6426,U_6429,U_6428,U_6427)
| ~ m1_rlsub_1(U_6426,U_6428)
| ~ m1_subset_1(U_6427,u1_struct_0(U_6428))
| ~ l2_rlvect_1(U_6428)
| ~ v7_rlvect_1(U_6428)
| ~ v6_rlvect_1(U_6428)
| ~ v5_rlvect_1(U_6428)
| ~ v4_rlvect_1(U_6428)
| ~ v3_rlvect_1(U_6428)
| v3_struct_0(U_6428) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1135,sP1136])],[f_2453_3]) ).
cnf(f_2453_5,plain,
( sP1136(U_6425,U_6426,U_6429,U_6428,U_6427)
| ~ m1_rlsub_1(U_6426,U_6428)
| ~ m1_subset_1(U_6427,u1_struct_0(U_6428))
| ~ l2_rlvect_1(U_6428)
| ~ v7_rlvect_1(U_6428)
| ~ v6_rlvect_1(U_6428)
| ~ v5_rlvect_1(U_6428)
| ~ v4_rlvect_1(U_6428)
| ~ v3_rlvect_1(U_6428)
| v3_struct_0(U_6428) ),
inference(clausify,[status(thm)],[f_2453_4]) ).
cnf(f_2453_6,plain,
( sP1135(U_6426,U_6429,U_6428,U_6427)
| ~ r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426))
| ~ sP1136(U_6425,U_6426,U_6429,U_6428,U_6427) ),
inference(clausify,[status(thm)],[f_2453_4]) ).
cnf(f_2453_7,plain,
( r2_hidden(U_6429,a_3_1_rlsub_1(U_6428,U_6427,U_6426))
| ~ r1_rlvect_1(U_6426,U_6425)
| U_6429 != k4_rlvect_1(U_6428,U_6427,U_6425)
| ~ m1_subset_1(U_6425,u1_struct_0(U_6428))
| ~ sP1136(U_6425,U_6426,U_6429,U_6428,U_6427) ),
inference(clausify,[status(thm)],[f_2453_4]) ).
cnf(f_2453_8,plain,
( m1_subset_1(sK787(U_6429,U_6428,U_6427,U_6426),u1_struct_0(U_6428))
| ~ sP1135(U_6426,U_6429,U_6428,U_6427) ),
inference(clausify,[status(thm)],[f_2453_4]) ).
cnf(f_2453_9,plain,
( U_6429 = k4_rlvect_1(U_6428,U_6427,sK787(U_6429,U_6428,U_6427,U_6426))
| ~ sP1135(U_6426,U_6429,U_6428,U_6427) ),
inference(clausify,[status(thm)],[f_2453_4]) ).
cnf(f_2453_10,plain,
( r1_rlvect_1(U_6426,sK787(U_6429,U_6428,U_6427,U_6426))
| ~ sP1135(U_6426,U_6429,U_6428,U_6427) ),
inference(clausify,[status(thm)],[f_2453_4]) ).
fof(f_2454_1,plain,
? [A] :
( v1_group_1(A)
& l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_group_1]) ).
fof(f_2454_2,plain,
? [U_6430] :
( v1_group_1(U_6430)
& l1_group_1(U_6430) ),
inference(variable_rename,[status(thm)],[f_2454_1]) ).
fof(f_2454_3,plain,
( v1_group_1(sK788)
& l1_group_1(sK788) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK788]),skolemize(U_6430,sK788)],[f_2454_2]) ).
fof(f_2454_4,plain,
( v1_group_1(sK788)
& l1_group_1(sK788) ),
inference(definitional_conversion,[status(esa)],[f_2454_3]) ).
cnf(f_2454_5,plain,
l1_group_1(sK788),
inference(clausify,[status(thm)],[f_2454_4]) ).
cnf(f_2454_6,plain,
v1_group_1(sK788),
inference(clausify,[status(thm)],[f_2454_4]) ).
fof(f_2455_1,plain,
? [A] :
( v1_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_group_1]) ).
fof(f_2455_2,plain,
? [U_6431] :
( v1_group_1(U_6431)
& ~ v3_struct_0(U_6431)
& l1_group_1(U_6431) ),
inference(variable_rename,[status(thm)],[f_2455_1]) ).
fof(f_2455_3,plain,
( v1_group_1(sK789)
& ~ v3_struct_0(sK789)
& l1_group_1(sK789) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK789]),skolemize(U_6431,sK789)],[f_2455_2]) ).
fof(f_2455_4,plain,
( v1_group_1(sK789)
& ~ v3_struct_0(sK789)
& l1_group_1(sK789) ),
inference(definitional_conversion,[status(esa)],[f_2455_3]) ).
cnf(f_2455_5,plain,
l1_group_1(sK789),
inference(clausify,[status(thm)],[f_2455_4]) ).
cnf(f_2455_6,plain,
~ v3_struct_0(sK789),
inference(clausify,[status(thm)],[f_2455_4]) ).
cnf(f_2455_7,plain,
v1_group_1(sK789),
inference(clausify,[status(thm)],[f_2455_4]) ).
fof(f_2456_1,plain,
! [A,B] :
( ( v1_group_1(g1_group_1(A,B))
& ~ v3_struct_0(g1_group_1(A,B)) )
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_group_1]) ).
fof(f_2456_2,plain,
! [U_6433,U_6432] :
( ( v1_group_1(g1_group_1(U_6433,U_6432))
& ~ v3_struct_0(g1_group_1(U_6433,U_6432)) )
| ~ m1_relset_1(U_6432,k2_zfmisc_1(U_6433,U_6433),U_6433)
| ~ v1_funct_2(U_6432,k2_zfmisc_1(U_6433,U_6433),U_6433)
| ~ v1_funct_1(U_6432)
| v1_xboole_0(U_6433) ),
inference(variable_rename,[status(thm)],[f_2456_1]) ).
fof(f_2456_3,plain,
( ! [U_6432,U_6433] :
( v1_group_1(g1_group_1(U_6433,U_6432))
| ~ sP1137(U_6432,U_6433) )
& ! [U_6432,U_6433] :
( ~ v3_struct_0(g1_group_1(U_6433,U_6432))
| ~ sP1137(U_6432,U_6433) )
& ! [U_6432,U_6433] :
( sP1137(U_6432,U_6433)
| ~ m1_relset_1(U_6432,k2_zfmisc_1(U_6433,U_6433),U_6433)
| ~ v1_funct_2(U_6432,k2_zfmisc_1(U_6433,U_6433),U_6433)
| ~ v1_funct_1(U_6432)
| v1_xboole_0(U_6433) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1137])],[f_2456_2]) ).
cnf(f_2456_4,plain,
( sP1137(U_6432,U_6433)
| ~ m1_relset_1(U_6432,k2_zfmisc_1(U_6433,U_6433),U_6433)
| ~ v1_funct_2(U_6432,k2_zfmisc_1(U_6433,U_6433),U_6433)
| ~ v1_funct_1(U_6432)
| v1_xboole_0(U_6433) ),
inference(clausify,[status(thm)],[f_2456_3]) ).
cnf(f_2456_5,plain,
( ~ v3_struct_0(g1_group_1(U_6433,U_6432))
| ~ sP1137(U_6432,U_6433) ),
inference(clausify,[status(thm)],[f_2456_3]) ).
cnf(f_2456_6,plain,
( v1_group_1(g1_group_1(U_6433,U_6432))
| ~ sP1137(U_6432,U_6433) ),
inference(clausify,[status(thm)],[f_2456_3]) ).
fof(f_2457_1,plain,
! [A] :
( ( v2_group_1(A)
& ~ v3_struct_0(A) )
| ~ v3_group_1(A)
| v3_struct_0(A)
| ~ l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_group_1]) ).
fof(f_2457_2,plain,
! [U_6434] :
( ( v2_group_1(U_6434)
& ~ v3_struct_0(U_6434) )
| ~ v3_group_1(U_6434)
| v3_struct_0(U_6434)
| ~ l1_group_1(U_6434) ),
inference(variable_rename,[status(thm)],[f_2457_1]) ).
fof(f_2457_3,plain,
( ! [U_6434] :
( v2_group_1(U_6434)
| ~ sP1138(U_6434) )
& ! [U_6434] :
( ~ v3_struct_0(U_6434)
| ~ sP1138(U_6434) )
& ! [U_6434] :
( sP1138(U_6434)
| ~ v3_group_1(U_6434)
| v3_struct_0(U_6434)
| ~ l1_group_1(U_6434) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1138])],[f_2457_2]) ).
cnf(f_2457_4,plain,
( sP1138(U_6434)
| ~ v3_group_1(U_6434)
| v3_struct_0(U_6434)
| ~ l1_group_1(U_6434) ),
inference(clausify,[status(thm)],[f_2457_3]) ).
cnf(f_2457_5,plain,
( ~ v3_struct_0(U_6434)
| ~ sP1138(U_6434) ),
inference(clausify,[status(thm)],[f_2457_3]) ).
cnf(f_2457_6,plain,
( v2_group_1(U_6434)
| ~ sP1138(U_6434) ),
inference(clausify,[status(thm)],[f_2457_3]) ).
fof(f_2458_1,plain,
? [A] :
( v4_group_1(A)
& v3_group_1(A)
& v2_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_group_1]) ).
fof(f_2458_2,plain,
? [U_6435] :
( v4_group_1(U_6435)
& v3_group_1(U_6435)
& v2_group_1(U_6435)
& v1_group_1(U_6435)
& ~ v3_struct_0(U_6435)
& l1_group_1(U_6435) ),
inference(variable_rename,[status(thm)],[f_2458_1]) ).
fof(f_2458_3,plain,
( v4_group_1(sK790)
& v3_group_1(sK790)
& v2_group_1(sK790)
& v1_group_1(sK790)
& ~ v3_struct_0(sK790)
& l1_group_1(sK790) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK790]),skolemize(U_6435,sK790)],[f_2458_2]) ).
fof(f_2458_4,plain,
( v4_group_1(sK790)
& v3_group_1(sK790)
& v2_group_1(sK790)
& v1_group_1(sK790)
& ~ v3_struct_0(sK790)
& l1_group_1(sK790) ),
inference(definitional_conversion,[status(esa)],[f_2458_3]) ).
cnf(f_2458_5,plain,
l1_group_1(sK790),
inference(clausify,[status(thm)],[f_2458_4]) ).
cnf(f_2458_6,plain,
~ v3_struct_0(sK790),
inference(clausify,[status(thm)],[f_2458_4]) ).
cnf(f_2458_7,plain,
v1_group_1(sK790),
inference(clausify,[status(thm)],[f_2458_4]) ).
cnf(f_2458_8,plain,
v2_group_1(sK790),
inference(clausify,[status(thm)],[f_2458_4]) ).
cnf(f_2458_9,plain,
v3_group_1(sK790),
inference(clausify,[status(thm)],[f_2458_4]) ).
cnf(f_2458_10,plain,
v4_group_1(sK790),
inference(clausify,[status(thm)],[f_2458_4]) ).
fof(f_2459_1,plain,
? [A] :
( v7_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v2_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[rc4_group_1]) ).
fof(f_2459_2,plain,
? [U_6436] :
( v7_group_1(U_6436)
& v4_group_1(U_6436)
& v3_group_1(U_6436)
& v2_group_1(U_6436)
& v1_group_1(U_6436)
& ~ v3_struct_0(U_6436)
& l1_group_1(U_6436) ),
inference(variable_rename,[status(thm)],[f_2459_1]) ).
fof(f_2459_3,plain,
( v7_group_1(sK791)
& v4_group_1(sK791)
& v3_group_1(sK791)
& v2_group_1(sK791)
& v1_group_1(sK791)
& ~ v3_struct_0(sK791)
& l1_group_1(sK791) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK791]),skolemize(U_6436,sK791)],[f_2459_2]) ).
fof(f_2459_4,plain,
( v7_group_1(sK791)
& v4_group_1(sK791)
& v3_group_1(sK791)
& v2_group_1(sK791)
& v1_group_1(sK791)
& ~ v3_struct_0(sK791)
& l1_group_1(sK791) ),
inference(definitional_conversion,[status(esa)],[f_2459_3]) ).
cnf(f_2459_5,plain,
l1_group_1(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
cnf(f_2459_6,plain,
~ v3_struct_0(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
cnf(f_2459_7,plain,
v1_group_1(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
cnf(f_2459_8,plain,
v2_group_1(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
cnf(f_2459_9,plain,
v3_group_1(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
cnf(f_2459_10,plain,
v4_group_1(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
cnf(f_2459_11,plain,
v7_group_1(sK791),
inference(clausify,[status(thm)],[f_2459_4]) ).
fof(f_2460_1,plain,
! [A,B,C] :
( ( v1_rlvect_1(g1_rlvect_1(A,B,C))
& ~ v3_struct_0(g1_rlvect_1(A,B,C)) )
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_group_1]) ).
fof(f_2460_2,plain,
! [U_6439,U_6438,U_6437] :
( ( v1_rlvect_1(g1_rlvect_1(U_6439,U_6438,U_6437))
& ~ v3_struct_0(g1_rlvect_1(U_6439,U_6438,U_6437)) )
| ~ m1_subset_1(U_6437,U_6439)
| ~ m1_relset_1(U_6438,k2_zfmisc_1(U_6439,U_6439),U_6439)
| ~ v1_funct_2(U_6438,k2_zfmisc_1(U_6439,U_6439),U_6439)
| ~ v1_funct_1(U_6438)
| v1_xboole_0(U_6439) ),
inference(variable_rename,[status(thm)],[f_2460_1]) ).
fof(f_2460_3,plain,
( ! [U_6437,U_6438,U_6439] :
( v1_rlvect_1(g1_rlvect_1(U_6439,U_6438,U_6437))
| ~ sP1139(U_6437,U_6438,U_6439) )
& ! [U_6437,U_6438,U_6439] :
( ~ v3_struct_0(g1_rlvect_1(U_6439,U_6438,U_6437))
| ~ sP1139(U_6437,U_6438,U_6439) )
& ! [U_6437,U_6438,U_6439] :
( sP1139(U_6437,U_6438,U_6439)
| ~ m1_subset_1(U_6437,U_6439)
| ~ m1_relset_1(U_6438,k2_zfmisc_1(U_6439,U_6439),U_6439)
| ~ v1_funct_2(U_6438,k2_zfmisc_1(U_6439,U_6439),U_6439)
| ~ v1_funct_1(U_6438)
| v1_xboole_0(U_6439) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1139])],[f_2460_2]) ).
cnf(f_2460_4,plain,
( sP1139(U_6437,U_6438,U_6439)
| ~ m1_subset_1(U_6437,U_6439)
| ~ m1_relset_1(U_6438,k2_zfmisc_1(U_6439,U_6439),U_6439)
| ~ v1_funct_2(U_6438,k2_zfmisc_1(U_6439,U_6439),U_6439)
| ~ v1_funct_1(U_6438)
| v1_xboole_0(U_6439) ),
inference(clausify,[status(thm)],[f_2460_3]) ).
cnf(f_2460_5,plain,
( ~ v3_struct_0(g1_rlvect_1(U_6439,U_6438,U_6437))
| ~ sP1139(U_6437,U_6438,U_6439) ),
inference(clausify,[status(thm)],[f_2460_3]) ).
cnf(f_2460_6,plain,
( v1_rlvect_1(g1_rlvect_1(U_6439,U_6438,U_6437))
| ~ sP1139(U_6437,U_6438,U_6439) ),
inference(clausify,[status(thm)],[f_2460_3]) ).
fof(f_2461_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_group_1]) ).
fof(f_2461_2,plain,
! [U_6442] :
( ! [U_6441] :
( ! [U_6440] :
( k1_group_1(U_6442,U_6441,U_6440) = k2_binop_1(u1_struct_0(U_6442),u1_struct_0(U_6442),u1_struct_0(U_6442),u1_group_1(U_6442),U_6441,U_6440)
| ~ m1_subset_1(U_6440,u1_struct_0(U_6442)) )
| ~ m1_subset_1(U_6441,u1_struct_0(U_6442)) )
| ~ l1_group_1(U_6442)
| v3_struct_0(U_6442) ),
inference(variable_rename,[status(thm)],[f_2461_1]) ).
fof(f_2461_3,plain,
! [U_6441,U_6440,U_6442] :
( k1_group_1(U_6442,U_6441,U_6440) = k2_binop_1(u1_struct_0(U_6442),u1_struct_0(U_6442),u1_struct_0(U_6442),u1_group_1(U_6442),U_6441,U_6440)
| ~ m1_subset_1(U_6440,u1_struct_0(U_6442))
| ~ m1_subset_1(U_6441,u1_struct_0(U_6442))
| ~ l1_group_1(U_6442)
| v3_struct_0(U_6442) ),
inference(definitional_conversion,[status(esa)],[f_2461_2]) ).
cnf(f_2461_4,plain,
( k1_group_1(U_6442,U_6441,U_6440) = k2_binop_1(u1_struct_0(U_6442),u1_struct_0(U_6442),u1_struct_0(U_6442),u1_group_1(U_6442),U_6441,U_6440)
| ~ m1_subset_1(U_6440,u1_struct_0(U_6442))
| ~ m1_subset_1(U_6441,u1_struct_0(U_6442))
| ~ l1_group_1(U_6442)
| v3_struct_0(U_6442) ),
inference(clausify,[status(thm)],[f_2461_3]) ).
fof(f_2462_1,plain,
! [A] :
( ( ( v2_group_1(A)
| ! [B] :
( ? [C] :
( ( k1_group_1(A,B,C) != C
| k1_group_1(A,C,B) != C )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) ) )
& ( ? [B] :
( ! [C] :
( ( k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C )
| ~ m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ v2_group_1(A) ) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_group_1]) ).
fof(f_2462_2,plain,
! [U_6447] :
( ( ( v2_group_1(U_6447)
| ! [U_6446] :
( ? [U_6445] :
( ( k1_group_1(U_6447,U_6446,U_6445) != U_6445
| k1_group_1(U_6447,U_6445,U_6446) != U_6445 )
& m1_subset_1(U_6445,u1_struct_0(U_6447)) )
| ~ m1_subset_1(U_6446,u1_struct_0(U_6447)) ) )
& ( ? [U_6444] :
( ! [U_6443] :
( ( k1_group_1(U_6447,U_6444,U_6443) = U_6443
& k1_group_1(U_6447,U_6443,U_6444) = U_6443 )
| ~ m1_subset_1(U_6443,u1_struct_0(U_6447)) )
& m1_subset_1(U_6444,u1_struct_0(U_6447)) )
| ~ v2_group_1(U_6447) ) )
| ~ l1_group_1(U_6447)
| v3_struct_0(U_6447) ),
inference(variable_rename,[status(thm)],[f_2462_1]) ).
fof(f_2462_3,plain,
! [U_6447] :
( ( ( v2_group_1(U_6447)
| ! [U_6446] :
( ? [U_6445] :
( ( k1_group_1(U_6447,U_6446,U_6445) != U_6445
| k1_group_1(U_6447,U_6445,U_6446) != U_6445 )
& m1_subset_1(U_6445,u1_struct_0(U_6447)) )
| ~ m1_subset_1(U_6446,u1_struct_0(U_6447)) ) )
& ( ( ! [U_6443] :
( ( k1_group_1(U_6447,sK792(U_6447),U_6443) = U_6443
& k1_group_1(U_6447,U_6443,sK792(U_6447)) = U_6443 )
| ~ m1_subset_1(U_6443,u1_struct_0(U_6447)) )
& m1_subset_1(sK792(U_6447),u1_struct_0(U_6447)) )
| ~ v2_group_1(U_6447) ) )
| ~ l1_group_1(U_6447)
| v3_struct_0(U_6447) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK792]),skolemize(U_6444,sK792(U_6447))],[f_2462_2]) ).
fof(f_2462_4,plain,
! [U_6447] :
( ( ( v2_group_1(U_6447)
| ! [U_6446] :
( ( ( k1_group_1(U_6447,U_6446,sK793(U_6447,U_6446)) != sK793(U_6447,U_6446)
| k1_group_1(U_6447,sK793(U_6447,U_6446),U_6446) != sK793(U_6447,U_6446) )
& m1_subset_1(sK793(U_6447,U_6446),u1_struct_0(U_6447)) )
| ~ m1_subset_1(U_6446,u1_struct_0(U_6447)) ) )
& ( ( ! [U_6443] :
( ( k1_group_1(U_6447,sK792(U_6447),U_6443) = U_6443
& k1_group_1(U_6447,U_6443,sK792(U_6447)) = U_6443 )
| ~ m1_subset_1(U_6443,u1_struct_0(U_6447)) )
& m1_subset_1(sK792(U_6447),u1_struct_0(U_6447)) )
| ~ v2_group_1(U_6447) ) )
| ~ l1_group_1(U_6447)
| v3_struct_0(U_6447) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK793]),skolemize(U_6445,sK793(U_6447,U_6446))],[f_2462_3]) ).
fof(f_2462_5,plain,
( ! [U_6446,U_6447] :
( k1_group_1(U_6447,U_6446,sK793(U_6447,U_6446)) != sK793(U_6447,U_6446)
| k1_group_1(U_6447,sK793(U_6447,U_6446),U_6446) != sK793(U_6447,U_6446)
| ~ sP1142(U_6446,U_6447) )
& ! [U_6446,U_6447] :
( m1_subset_1(sK793(U_6447,U_6446),u1_struct_0(U_6447))
| ~ sP1142(U_6446,U_6447) )
& ! [U_6447,U_6443] :
( k1_group_1(U_6447,sK792(U_6447),U_6443) = U_6443
| ~ sP1140(U_6447,U_6443) )
& ! [U_6447,U_6443] :
( k1_group_1(U_6447,U_6443,sK792(U_6447)) = U_6443
| ~ sP1140(U_6447,U_6443) )
& ! [U_6447,U_6443] :
( sP1140(U_6447,U_6443)
| ~ m1_subset_1(U_6443,u1_struct_0(U_6447))
| ~ sP1141(U_6447,U_6443) )
& ! [U_6447,U_6443] :
( m1_subset_1(sK792(U_6447),u1_struct_0(U_6447))
| ~ sP1141(U_6447,U_6443) )
& ! [U_6446,U_6447,U_6443] :
( v2_group_1(U_6447)
| sP1142(U_6446,U_6447)
| ~ m1_subset_1(U_6446,u1_struct_0(U_6447))
| ~ sP1143(U_6446,U_6447,U_6443) )
& ! [U_6446,U_6447,U_6443] :
( sP1141(U_6447,U_6443)
| ~ v2_group_1(U_6447)
| ~ sP1143(U_6446,U_6447,U_6443) )
& ! [U_6446,U_6447,U_6443] :
( sP1143(U_6446,U_6447,U_6443)
| ~ l1_group_1(U_6447)
| v3_struct_0(U_6447) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1140,sP1141,sP1142,sP1143])],[f_2462_4]) ).
cnf(f_2462_6,plain,
( sP1143(U_6446,U_6447,U_6443)
| ~ l1_group_1(U_6447)
| v3_struct_0(U_6447) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_7,plain,
( sP1141(U_6447,U_6443)
| ~ v2_group_1(U_6447)
| ~ sP1143(U_6446,U_6447,U_6443) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_8,plain,
( v2_group_1(U_6447)
| sP1142(U_6446,U_6447)
| ~ m1_subset_1(U_6446,u1_struct_0(U_6447))
| ~ sP1143(U_6446,U_6447,U_6443) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_9,plain,
( m1_subset_1(sK792(U_6447),u1_struct_0(U_6447))
| ~ sP1141(U_6447,U_6443) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_10,plain,
( sP1140(U_6447,U_6443)
| ~ m1_subset_1(U_6443,u1_struct_0(U_6447))
| ~ sP1141(U_6447,U_6443) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_11,plain,
( k1_group_1(U_6447,U_6443,sK792(U_6447)) = U_6443
| ~ sP1140(U_6447,U_6443) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_12,plain,
( k1_group_1(U_6447,sK792(U_6447),U_6443) = U_6443
| ~ sP1140(U_6447,U_6443) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_13,plain,
( m1_subset_1(sK793(U_6447,U_6446),u1_struct_0(U_6447))
| ~ sP1142(U_6446,U_6447) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
cnf(f_2462_14,plain,
( k1_group_1(U_6447,U_6446,sK793(U_6447,U_6446)) != sK793(U_6447,U_6446)
| k1_group_1(U_6447,sK793(U_6447,U_6446),U_6446) != sK793(U_6447,U_6446)
| ~ sP1142(U_6446,U_6447) ),
inference(clausify,[status(thm)],[f_2462_5]) ).
fof(f_2463_1,plain,
! [A] :
( ( ( v3_group_1(A)
| ! [B] :
( ? [C] :
( ( ! [D] :
( k1_group_1(A,D,C) != B
| k1_group_1(A,C,D) != B
| ~ m1_subset_1(D,u1_struct_0(A)) )
| k1_group_1(A,B,C) != C
| k1_group_1(A,C,B) != C )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) ) )
& ( ? [B] :
( ! [C] :
( ( ? [D] :
( k1_group_1(A,D,C) = B
& k1_group_1(A,C,D) = B
& m1_subset_1(D,u1_struct_0(A)) )
& k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C )
| ~ m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ v3_group_1(A) ) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d3_group_1]) ).
fof(f_2463_2,plain,
! [U_6454] :
( ( ( v3_group_1(U_6454)
| ! [U_6453] :
( ? [U_6452] :
( ( ! [U_6451] :
( k1_group_1(U_6454,U_6451,U_6452) != U_6453
| k1_group_1(U_6454,U_6452,U_6451) != U_6453
| ~ m1_subset_1(U_6451,u1_struct_0(U_6454)) )
| k1_group_1(U_6454,U_6453,U_6452) != U_6452
| k1_group_1(U_6454,U_6452,U_6453) != U_6452 )
& m1_subset_1(U_6452,u1_struct_0(U_6454)) )
| ~ m1_subset_1(U_6453,u1_struct_0(U_6454)) ) )
& ( ? [U_6450] :
( ! [U_6449] :
( ( ? [U_6448] :
( k1_group_1(U_6454,U_6448,U_6449) = U_6450
& k1_group_1(U_6454,U_6449,U_6448) = U_6450
& m1_subset_1(U_6448,u1_struct_0(U_6454)) )
& k1_group_1(U_6454,U_6450,U_6449) = U_6449
& k1_group_1(U_6454,U_6449,U_6450) = U_6449 )
| ~ m1_subset_1(U_6449,u1_struct_0(U_6454)) )
& m1_subset_1(U_6450,u1_struct_0(U_6454)) )
| ~ v3_group_1(U_6454) ) )
| ~ l1_group_1(U_6454)
| v3_struct_0(U_6454) ),
inference(variable_rename,[status(thm)],[f_2463_1]) ).
fof(f_2463_3,plain,
! [U_6454] :
( ( ( v3_group_1(U_6454)
| ! [U_6453] :
( ? [U_6452] :
( ( ! [U_6451] :
( k1_group_1(U_6454,U_6451,U_6452) != U_6453
| k1_group_1(U_6454,U_6452,U_6451) != U_6453
| ~ m1_subset_1(U_6451,u1_struct_0(U_6454)) )
| k1_group_1(U_6454,U_6453,U_6452) != U_6452
| k1_group_1(U_6454,U_6452,U_6453) != U_6452 )
& m1_subset_1(U_6452,u1_struct_0(U_6454)) )
| ~ m1_subset_1(U_6453,u1_struct_0(U_6454)) ) )
& ( ( ! [U_6449] :
( ( ? [U_6448] :
( k1_group_1(U_6454,U_6448,U_6449) = sK794(U_6454)
& k1_group_1(U_6454,U_6449,U_6448) = sK794(U_6454)
& m1_subset_1(U_6448,u1_struct_0(U_6454)) )
& k1_group_1(U_6454,sK794(U_6454),U_6449) = U_6449
& k1_group_1(U_6454,U_6449,sK794(U_6454)) = U_6449 )
| ~ m1_subset_1(U_6449,u1_struct_0(U_6454)) )
& m1_subset_1(sK794(U_6454),u1_struct_0(U_6454)) )
| ~ v3_group_1(U_6454) ) )
| ~ l1_group_1(U_6454)
| v3_struct_0(U_6454) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK794]),skolemize(U_6450,sK794(U_6454))],[f_2463_2]) ).
fof(f_2463_4,plain,
! [U_6454] :
( ( ( v3_group_1(U_6454)
| ! [U_6453] :
( ? [U_6452] :
( ( ! [U_6451] :
( k1_group_1(U_6454,U_6451,U_6452) != U_6453
| k1_group_1(U_6454,U_6452,U_6451) != U_6453
| ~ m1_subset_1(U_6451,u1_struct_0(U_6454)) )
| k1_group_1(U_6454,U_6453,U_6452) != U_6452
| k1_group_1(U_6454,U_6452,U_6453) != U_6452 )
& m1_subset_1(U_6452,u1_struct_0(U_6454)) )
| ~ m1_subset_1(U_6453,u1_struct_0(U_6454)) ) )
& ( ( ! [U_6449] :
( ( k1_group_1(U_6454,sK795(U_6454,U_6449),U_6449) = sK794(U_6454)
& k1_group_1(U_6454,U_6449,sK795(U_6454,U_6449)) = sK794(U_6454)
& m1_subset_1(sK795(U_6454,U_6449),u1_struct_0(U_6454))
& k1_group_1(U_6454,sK794(U_6454),U_6449) = U_6449
& k1_group_1(U_6454,U_6449,sK794(U_6454)) = U_6449 )
| ~ m1_subset_1(U_6449,u1_struct_0(U_6454)) )
& m1_subset_1(sK794(U_6454),u1_struct_0(U_6454)) )
| ~ v3_group_1(U_6454) ) )
| ~ l1_group_1(U_6454)
| v3_struct_0(U_6454) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK795]),skolemize(U_6448,sK795(U_6454,U_6449))],[f_2463_3]) ).
fof(f_2463_5,plain,
! [U_6454] :
( ( ( v3_group_1(U_6454)
| ! [U_6453] :
( ( ( ! [U_6451] :
( k1_group_1(U_6454,U_6451,sK796(U_6454,U_6453)) != U_6453
| k1_group_1(U_6454,sK796(U_6454,U_6453),U_6451) != U_6453
| ~ m1_subset_1(U_6451,u1_struct_0(U_6454)) )
| k1_group_1(U_6454,U_6453,sK796(U_6454,U_6453)) != sK796(U_6454,U_6453)
| k1_group_1(U_6454,sK796(U_6454,U_6453),U_6453) != sK796(U_6454,U_6453) )
& m1_subset_1(sK796(U_6454,U_6453),u1_struct_0(U_6454)) )
| ~ m1_subset_1(U_6453,u1_struct_0(U_6454)) ) )
& ( ( ! [U_6449] :
( ( k1_group_1(U_6454,sK795(U_6454,U_6449),U_6449) = sK794(U_6454)
& k1_group_1(U_6454,U_6449,sK795(U_6454,U_6449)) = sK794(U_6454)
& m1_subset_1(sK795(U_6454,U_6449),u1_struct_0(U_6454))
& k1_group_1(U_6454,sK794(U_6454),U_6449) = U_6449
& k1_group_1(U_6454,U_6449,sK794(U_6454)) = U_6449 )
| ~ m1_subset_1(U_6449,u1_struct_0(U_6454)) )
& m1_subset_1(sK794(U_6454),u1_struct_0(U_6454)) )
| ~ v3_group_1(U_6454) ) )
| ~ l1_group_1(U_6454)
| v3_struct_0(U_6454) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK796]),skolemize(U_6452,sK796(U_6454,U_6453))],[f_2463_4]) ).
fof(f_2463_6,plain,
( ! [U_6454,U_6451,U_6453] :
( k1_group_1(U_6454,U_6451,sK796(U_6454,U_6453)) != U_6453
| k1_group_1(U_6454,sK796(U_6454,U_6453),U_6451) != U_6453
| ~ m1_subset_1(U_6451,u1_struct_0(U_6454))
| k1_group_1(U_6454,U_6453,sK796(U_6454,U_6453)) != sK796(U_6454,U_6453)
| k1_group_1(U_6454,sK796(U_6454,U_6453),U_6453) != sK796(U_6454,U_6453)
| ~ sP1146(U_6454,U_6451,U_6453) )
& ! [U_6454,U_6451,U_6453] :
( m1_subset_1(sK796(U_6454,U_6453),u1_struct_0(U_6454))
| ~ sP1146(U_6454,U_6451,U_6453) )
& ! [U_6454,U_6449] :
( k1_group_1(U_6454,sK795(U_6454,U_6449),U_6449) = sK794(U_6454)
| ~ sP1144(U_6454,U_6449) )
& ! [U_6454,U_6449] :
( k1_group_1(U_6454,U_6449,sK795(U_6454,U_6449)) = sK794(U_6454)
| ~ sP1144(U_6454,U_6449) )
& ! [U_6454,U_6449] :
( m1_subset_1(sK795(U_6454,U_6449),u1_struct_0(U_6454))
| ~ sP1144(U_6454,U_6449) )
& ! [U_6454,U_6449] :
( k1_group_1(U_6454,sK794(U_6454),U_6449) = U_6449
| ~ sP1144(U_6454,U_6449) )
& ! [U_6454,U_6449] :
( k1_group_1(U_6454,U_6449,sK794(U_6454)) = U_6449
| ~ sP1144(U_6454,U_6449) )
& ! [U_6454,U_6449] :
( sP1144(U_6454,U_6449)
| ~ m1_subset_1(U_6449,u1_struct_0(U_6454))
| ~ sP1145(U_6454,U_6449) )
& ! [U_6454,U_6449] :
( m1_subset_1(sK794(U_6454),u1_struct_0(U_6454))
| ~ sP1145(U_6454,U_6449) )
& ! [U_6454,U_6451,U_6453,U_6449] :
( v3_group_1(U_6454)
| sP1146(U_6454,U_6451,U_6453)
| ~ m1_subset_1(U_6453,u1_struct_0(U_6454))
| ~ sP1147(U_6454,U_6451,U_6453,U_6449) )
& ! [U_6454,U_6451,U_6453,U_6449] :
( sP1145(U_6454,U_6449)
| ~ v3_group_1(U_6454)
| ~ sP1147(U_6454,U_6451,U_6453,U_6449) )
& ! [U_6454,U_6451,U_6453,U_6449] :
( sP1147(U_6454,U_6451,U_6453,U_6449)
| ~ l1_group_1(U_6454)
| v3_struct_0(U_6454) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1144,sP1145,sP1146,sP1147])],[f_2463_5]) ).
cnf(f_2463_7,plain,
( sP1147(U_6454,U_6451,U_6453,U_6449)
| ~ l1_group_1(U_6454)
| v3_struct_0(U_6454) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_8,plain,
( sP1145(U_6454,U_6449)
| ~ v3_group_1(U_6454)
| ~ sP1147(U_6454,U_6451,U_6453,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_9,plain,
( v3_group_1(U_6454)
| sP1146(U_6454,U_6451,U_6453)
| ~ m1_subset_1(U_6453,u1_struct_0(U_6454))
| ~ sP1147(U_6454,U_6451,U_6453,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_10,plain,
( m1_subset_1(sK794(U_6454),u1_struct_0(U_6454))
| ~ sP1145(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_11,plain,
( sP1144(U_6454,U_6449)
| ~ m1_subset_1(U_6449,u1_struct_0(U_6454))
| ~ sP1145(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_12,plain,
( k1_group_1(U_6454,U_6449,sK794(U_6454)) = U_6449
| ~ sP1144(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_13,plain,
( k1_group_1(U_6454,sK794(U_6454),U_6449) = U_6449
| ~ sP1144(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_14,plain,
( m1_subset_1(sK795(U_6454,U_6449),u1_struct_0(U_6454))
| ~ sP1144(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_15,plain,
( k1_group_1(U_6454,U_6449,sK795(U_6454,U_6449)) = sK794(U_6454)
| ~ sP1144(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_16,plain,
( k1_group_1(U_6454,sK795(U_6454,U_6449),U_6449) = sK794(U_6454)
| ~ sP1144(U_6454,U_6449) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_17,plain,
( m1_subset_1(sK796(U_6454,U_6453),u1_struct_0(U_6454))
| ~ sP1146(U_6454,U_6451,U_6453) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
cnf(f_2463_18,plain,
( k1_group_1(U_6454,U_6451,sK796(U_6454,U_6453)) != U_6453
| k1_group_1(U_6454,sK796(U_6454,U_6453),U_6451) != U_6453
| ~ m1_subset_1(U_6451,u1_struct_0(U_6454))
| k1_group_1(U_6454,U_6453,sK796(U_6454,U_6453)) != sK796(U_6454,U_6453)
| k1_group_1(U_6454,sK796(U_6454,U_6453),U_6453) != sK796(U_6454,U_6453)
| ~ sP1146(U_6454,U_6451,U_6453) ),
inference(clausify,[status(thm)],[f_2463_6]) ).
fof(f_2464_1,plain,
! [A] :
( ( ( v4_group_1(A)
| ? [B] :
( ? [C] :
( ? [D] :
( k1_group_1(A,k1_group_1(A,B,C),D) != k1_group_1(A,B,k1_group_1(A,C,D))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v4_group_1(A) ) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_group_1]) ).
fof(f_2464_2,plain,
! [U_6461] :
( ( ( v4_group_1(U_6461)
| ? [U_6460] :
( ? [U_6459] :
( ? [U_6458] :
( k1_group_1(U_6461,k1_group_1(U_6461,U_6460,U_6459),U_6458) != k1_group_1(U_6461,U_6460,k1_group_1(U_6461,U_6459,U_6458))
& m1_subset_1(U_6458,u1_struct_0(U_6461)) )
& m1_subset_1(U_6459,u1_struct_0(U_6461)) )
& m1_subset_1(U_6460,u1_struct_0(U_6461)) ) )
& ( ! [U_6457] :
( ! [U_6456] :
( ! [U_6455] :
( k1_group_1(U_6461,k1_group_1(U_6461,U_6457,U_6456),U_6455) = k1_group_1(U_6461,U_6457,k1_group_1(U_6461,U_6456,U_6455))
| ~ m1_subset_1(U_6455,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6456,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6457,u1_struct_0(U_6461)) )
| ~ v4_group_1(U_6461) ) )
| ~ l1_group_1(U_6461)
| v3_struct_0(U_6461) ),
inference(variable_rename,[status(thm)],[f_2464_1]) ).
fof(f_2464_3,plain,
! [U_6461] :
( ( ( v4_group_1(U_6461)
| ( ? [U_6459] :
( ? [U_6458] :
( k1_group_1(U_6461,k1_group_1(U_6461,sK797(U_6461),U_6459),U_6458) != k1_group_1(U_6461,sK797(U_6461),k1_group_1(U_6461,U_6459,U_6458))
& m1_subset_1(U_6458,u1_struct_0(U_6461)) )
& m1_subset_1(U_6459,u1_struct_0(U_6461)) )
& m1_subset_1(sK797(U_6461),u1_struct_0(U_6461)) ) )
& ( ! [U_6457] :
( ! [U_6456] :
( ! [U_6455] :
( k1_group_1(U_6461,k1_group_1(U_6461,U_6457,U_6456),U_6455) = k1_group_1(U_6461,U_6457,k1_group_1(U_6461,U_6456,U_6455))
| ~ m1_subset_1(U_6455,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6456,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6457,u1_struct_0(U_6461)) )
| ~ v4_group_1(U_6461) ) )
| ~ l1_group_1(U_6461)
| v3_struct_0(U_6461) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK797]),skolemize(U_6460,sK797(U_6461))],[f_2464_2]) ).
fof(f_2464_4,plain,
! [U_6461] :
( ( ( v4_group_1(U_6461)
| ( ? [U_6458] :
( k1_group_1(U_6461,k1_group_1(U_6461,sK797(U_6461),sK798(U_6461)),U_6458) != k1_group_1(U_6461,sK797(U_6461),k1_group_1(U_6461,sK798(U_6461),U_6458))
& m1_subset_1(U_6458,u1_struct_0(U_6461)) )
& m1_subset_1(sK798(U_6461),u1_struct_0(U_6461))
& m1_subset_1(sK797(U_6461),u1_struct_0(U_6461)) ) )
& ( ! [U_6457] :
( ! [U_6456] :
( ! [U_6455] :
( k1_group_1(U_6461,k1_group_1(U_6461,U_6457,U_6456),U_6455) = k1_group_1(U_6461,U_6457,k1_group_1(U_6461,U_6456,U_6455))
| ~ m1_subset_1(U_6455,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6456,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6457,u1_struct_0(U_6461)) )
| ~ v4_group_1(U_6461) ) )
| ~ l1_group_1(U_6461)
| v3_struct_0(U_6461) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK798]),skolemize(U_6459,sK798(U_6461))],[f_2464_3]) ).
fof(f_2464_5,plain,
! [U_6461] :
( ( ( v4_group_1(U_6461)
| ( k1_group_1(U_6461,k1_group_1(U_6461,sK797(U_6461),sK798(U_6461)),sK799(U_6461)) != k1_group_1(U_6461,sK797(U_6461),k1_group_1(U_6461,sK798(U_6461),sK799(U_6461)))
& m1_subset_1(sK799(U_6461),u1_struct_0(U_6461))
& m1_subset_1(sK798(U_6461),u1_struct_0(U_6461))
& m1_subset_1(sK797(U_6461),u1_struct_0(U_6461)) ) )
& ( ! [U_6457] :
( ! [U_6456] :
( ! [U_6455] :
( k1_group_1(U_6461,k1_group_1(U_6461,U_6457,U_6456),U_6455) = k1_group_1(U_6461,U_6457,k1_group_1(U_6461,U_6456,U_6455))
| ~ m1_subset_1(U_6455,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6456,u1_struct_0(U_6461)) )
| ~ m1_subset_1(U_6457,u1_struct_0(U_6461)) )
| ~ v4_group_1(U_6461) ) )
| ~ l1_group_1(U_6461)
| v3_struct_0(U_6461) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK799]),skolemize(U_6458,sK799(U_6461))],[f_2464_4]) ).
fof(f_2464_6,plain,
( ! [U_6461] :
( k1_group_1(U_6461,k1_group_1(U_6461,sK797(U_6461),sK798(U_6461)),sK799(U_6461)) != k1_group_1(U_6461,sK797(U_6461),k1_group_1(U_6461,sK798(U_6461),sK799(U_6461)))
| ~ sP1148(U_6461) )
& ! [U_6461] :
( m1_subset_1(sK799(U_6461),u1_struct_0(U_6461))
| ~ sP1148(U_6461) )
& ! [U_6461] :
( m1_subset_1(sK798(U_6461),u1_struct_0(U_6461))
| ~ sP1148(U_6461) )
& ! [U_6461] :
( m1_subset_1(sK797(U_6461),u1_struct_0(U_6461))
| ~ sP1148(U_6461) )
& ! [U_6456,U_6455,U_6457,U_6461] :
( v4_group_1(U_6461)
| sP1148(U_6461)
| ~ sP1149(U_6456,U_6455,U_6457,U_6461) )
& ! [U_6456,U_6455,U_6457,U_6461] :
( k1_group_1(U_6461,k1_group_1(U_6461,U_6457,U_6456),U_6455) = k1_group_1(U_6461,U_6457,k1_group_1(U_6461,U_6456,U_6455))
| ~ m1_subset_1(U_6455,u1_struct_0(U_6461))
| ~ m1_subset_1(U_6456,u1_struct_0(U_6461))
| ~ m1_subset_1(U_6457,u1_struct_0(U_6461))
| ~ v4_group_1(U_6461)
| ~ sP1149(U_6456,U_6455,U_6457,U_6461) )
& ! [U_6456,U_6455,U_6457,U_6461] :
( sP1149(U_6456,U_6455,U_6457,U_6461)
| ~ l1_group_1(U_6461)
| v3_struct_0(U_6461) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1148,sP1149])],[f_2464_5]) ).
cnf(f_2464_7,plain,
( sP1149(U_6456,U_6455,U_6457,U_6461)
| ~ l1_group_1(U_6461)
| v3_struct_0(U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
cnf(f_2464_8,plain,
( k1_group_1(U_6461,k1_group_1(U_6461,U_6457,U_6456),U_6455) = k1_group_1(U_6461,U_6457,k1_group_1(U_6461,U_6456,U_6455))
| ~ m1_subset_1(U_6455,u1_struct_0(U_6461))
| ~ m1_subset_1(U_6456,u1_struct_0(U_6461))
| ~ m1_subset_1(U_6457,u1_struct_0(U_6461))
| ~ v4_group_1(U_6461)
| ~ sP1149(U_6456,U_6455,U_6457,U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
cnf(f_2464_9,plain,
( v4_group_1(U_6461)
| sP1148(U_6461)
| ~ sP1149(U_6456,U_6455,U_6457,U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
cnf(f_2464_10,plain,
( m1_subset_1(sK797(U_6461),u1_struct_0(U_6461))
| ~ sP1148(U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
cnf(f_2464_11,plain,
( m1_subset_1(sK798(U_6461),u1_struct_0(U_6461))
| ~ sP1148(U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
cnf(f_2464_12,plain,
( m1_subset_1(sK799(U_6461),u1_struct_0(U_6461))
| ~ sP1148(U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
cnf(f_2464_13,plain,
( k1_group_1(U_6461,k1_group_1(U_6461,sK797(U_6461),sK798(U_6461)),sK799(U_6461)) != k1_group_1(U_6461,sK797(U_6461),k1_group_1(U_6461,sK798(U_6461),sK799(U_6461)))
| ~ sP1148(U_6461) ),
inference(clausify,[status(thm)],[f_2464_6]) ).
fof(f_2465_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_group_1]) ).
fof(f_2465_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2465_1]) ).
cnf(f_2465_3,plain,
$true,
inference(clausify,[status(thm)],[f_2465_2]) ).
fof(f_2466_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_group_1]) ).
fof(f_2466_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2466_1]) ).
cnf(f_2466_3,plain,
$true,
inference(clausify,[status(thm)],[f_2466_2]) ).
fof(f_2467_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_group_1]) ).
fof(f_2467_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2467_1]) ).
cnf(f_2467_3,plain,
$true,
inference(clausify,[status(thm)],[f_2467_2]) ).
fof(f_2468_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_group_1]) ).
fof(f_2468_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2468_1]) ).
cnf(f_2468_3,plain,
$true,
inference(clausify,[status(thm)],[f_2468_2]) ).
fof(f_2469_1,plain,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
| ! [B] :
( ? [C] :
( ( ! [D] :
( k1_group_1(A,D,C) != B
| k1_group_1(A,C,D) != B
| ~ m1_subset_1(D,u1_struct_0(A)) )
| k1_group_1(A,B,C) != C
| k1_group_1(A,C,B) != C )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( ? [C] :
( ? [D] :
( k1_group_1(A,k1_group_1(A,B,C),D) != k1_group_1(A,B,k1_group_1(A,C,D))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_group_1]) ).
fof(f_2469_2,plain,
! [U_6468] :
( ( l1_group_1(U_6468)
& v4_group_1(U_6468)
& v3_group_1(U_6468)
& ~ v3_struct_0(U_6468) )
| ! [U_6467] :
( ? [U_6466] :
( ( ! [U_6465] :
( k1_group_1(U_6468,U_6465,U_6466) != U_6467
| k1_group_1(U_6468,U_6466,U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468)) )
| k1_group_1(U_6468,U_6467,U_6466) != U_6466
| k1_group_1(U_6468,U_6466,U_6467) != U_6466 )
& m1_subset_1(U_6466,u1_struct_0(U_6468)) )
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468)) )
| ? [U_6464] :
( ? [U_6463] :
( ? [U_6462] :
( k1_group_1(U_6468,k1_group_1(U_6468,U_6464,U_6463),U_6462) != k1_group_1(U_6468,U_6464,k1_group_1(U_6468,U_6463,U_6462))
& m1_subset_1(U_6462,u1_struct_0(U_6468)) )
& m1_subset_1(U_6463,u1_struct_0(U_6468)) )
& m1_subset_1(U_6464,u1_struct_0(U_6468)) )
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ),
inference(variable_rename,[status(thm)],[f_2469_1]) ).
fof(f_2469_3,plain,
! [U_6468] :
( ( l1_group_1(U_6468)
& v4_group_1(U_6468)
& v3_group_1(U_6468)
& ~ v3_struct_0(U_6468) )
| ! [U_6467] :
( ? [U_6466] :
( ( ! [U_6465] :
( k1_group_1(U_6468,U_6465,U_6466) != U_6467
| k1_group_1(U_6468,U_6466,U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468)) )
| k1_group_1(U_6468,U_6467,U_6466) != U_6466
| k1_group_1(U_6468,U_6466,U_6467) != U_6466 )
& m1_subset_1(U_6466,u1_struct_0(U_6468)) )
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468)) )
| ( ? [U_6463] :
( ? [U_6462] :
( k1_group_1(U_6468,k1_group_1(U_6468,sK800(U_6468),U_6463),U_6462) != k1_group_1(U_6468,sK800(U_6468),k1_group_1(U_6468,U_6463,U_6462))
& m1_subset_1(U_6462,u1_struct_0(U_6468)) )
& m1_subset_1(U_6463,u1_struct_0(U_6468)) )
& m1_subset_1(sK800(U_6468),u1_struct_0(U_6468)) )
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK800]),skolemize(U_6464,sK800(U_6468))],[f_2469_2]) ).
fof(f_2469_4,plain,
! [U_6468] :
( ( l1_group_1(U_6468)
& v4_group_1(U_6468)
& v3_group_1(U_6468)
& ~ v3_struct_0(U_6468) )
| ! [U_6467] :
( ? [U_6466] :
( ( ! [U_6465] :
( k1_group_1(U_6468,U_6465,U_6466) != U_6467
| k1_group_1(U_6468,U_6466,U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468)) )
| k1_group_1(U_6468,U_6467,U_6466) != U_6466
| k1_group_1(U_6468,U_6466,U_6467) != U_6466 )
& m1_subset_1(U_6466,u1_struct_0(U_6468)) )
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468)) )
| ( ? [U_6462] :
( k1_group_1(U_6468,k1_group_1(U_6468,sK800(U_6468),sK801(U_6468)),U_6462) != k1_group_1(U_6468,sK800(U_6468),k1_group_1(U_6468,sK801(U_6468),U_6462))
& m1_subset_1(U_6462,u1_struct_0(U_6468)) )
& m1_subset_1(sK801(U_6468),u1_struct_0(U_6468))
& m1_subset_1(sK800(U_6468),u1_struct_0(U_6468)) )
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK801]),skolemize(U_6463,sK801(U_6468))],[f_2469_3]) ).
fof(f_2469_5,plain,
! [U_6468] :
( ( l1_group_1(U_6468)
& v4_group_1(U_6468)
& v3_group_1(U_6468)
& ~ v3_struct_0(U_6468) )
| ! [U_6467] :
( ? [U_6466] :
( ( ! [U_6465] :
( k1_group_1(U_6468,U_6465,U_6466) != U_6467
| k1_group_1(U_6468,U_6466,U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468)) )
| k1_group_1(U_6468,U_6467,U_6466) != U_6466
| k1_group_1(U_6468,U_6466,U_6467) != U_6466 )
& m1_subset_1(U_6466,u1_struct_0(U_6468)) )
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468)) )
| ( k1_group_1(U_6468,k1_group_1(U_6468,sK800(U_6468),sK801(U_6468)),sK802(U_6468)) != k1_group_1(U_6468,sK800(U_6468),k1_group_1(U_6468,sK801(U_6468),sK802(U_6468)))
& m1_subset_1(sK802(U_6468),u1_struct_0(U_6468))
& m1_subset_1(sK801(U_6468),u1_struct_0(U_6468))
& m1_subset_1(sK800(U_6468),u1_struct_0(U_6468)) )
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK802]),skolemize(U_6462,sK802(U_6468))],[f_2469_4]) ).
fof(f_2469_6,plain,
! [U_6468] :
( ( l1_group_1(U_6468)
& v4_group_1(U_6468)
& v3_group_1(U_6468)
& ~ v3_struct_0(U_6468) )
| ! [U_6467] :
( ( ( ! [U_6465] :
( k1_group_1(U_6468,U_6465,sK803(U_6468,U_6467)) != U_6467
| k1_group_1(U_6468,sK803(U_6468,U_6467),U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468)) )
| k1_group_1(U_6468,U_6467,sK803(U_6468,U_6467)) != sK803(U_6468,U_6467)
| k1_group_1(U_6468,sK803(U_6468,U_6467),U_6467) != sK803(U_6468,U_6467) )
& m1_subset_1(sK803(U_6468,U_6467),u1_struct_0(U_6468)) )
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468)) )
| ( k1_group_1(U_6468,k1_group_1(U_6468,sK800(U_6468),sK801(U_6468)),sK802(U_6468)) != k1_group_1(U_6468,sK800(U_6468),k1_group_1(U_6468,sK801(U_6468),sK802(U_6468)))
& m1_subset_1(sK802(U_6468),u1_struct_0(U_6468))
& m1_subset_1(sK801(U_6468),u1_struct_0(U_6468))
& m1_subset_1(sK800(U_6468),u1_struct_0(U_6468)) )
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK803]),skolemize(U_6466,sK803(U_6468,U_6467))],[f_2469_5]) ).
fof(f_2469_7,plain,
( ! [U_6468] :
( l1_group_1(U_6468)
| ~ sP1152(U_6468) )
& ! [U_6468] :
( v4_group_1(U_6468)
| ~ sP1152(U_6468) )
& ! [U_6468] :
( v3_group_1(U_6468)
| ~ sP1152(U_6468) )
& ! [U_6468] :
( ~ v3_struct_0(U_6468)
| ~ sP1152(U_6468) )
& ! [U_6467,U_6465,U_6468] :
( k1_group_1(U_6468,U_6465,sK803(U_6468,U_6467)) != U_6467
| k1_group_1(U_6468,sK803(U_6468,U_6467),U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468))
| k1_group_1(U_6468,U_6467,sK803(U_6468,U_6467)) != sK803(U_6468,U_6467)
| k1_group_1(U_6468,sK803(U_6468,U_6467),U_6467) != sK803(U_6468,U_6467)
| ~ sP1151(U_6467,U_6465,U_6468) )
& ! [U_6467,U_6465,U_6468] :
( m1_subset_1(sK803(U_6468,U_6467),u1_struct_0(U_6468))
| ~ sP1151(U_6467,U_6465,U_6468) )
& ! [U_6468] :
( k1_group_1(U_6468,k1_group_1(U_6468,sK800(U_6468),sK801(U_6468)),sK802(U_6468)) != k1_group_1(U_6468,sK800(U_6468),k1_group_1(U_6468,sK801(U_6468),sK802(U_6468)))
| ~ sP1150(U_6468) )
& ! [U_6468] :
( m1_subset_1(sK802(U_6468),u1_struct_0(U_6468))
| ~ sP1150(U_6468) )
& ! [U_6468] :
( m1_subset_1(sK801(U_6468),u1_struct_0(U_6468))
| ~ sP1150(U_6468) )
& ! [U_6468] :
( m1_subset_1(sK800(U_6468),u1_struct_0(U_6468))
| ~ sP1150(U_6468) )
& ! [U_6467,U_6465,U_6468] :
( sP1152(U_6468)
| sP1151(U_6467,U_6465,U_6468)
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468))
| sP1150(U_6468)
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1150,sP1151,sP1152])],[f_2469_6]) ).
cnf(f_2469_8,plain,
( sP1152(U_6468)
| sP1151(U_6467,U_6465,U_6468)
| ~ m1_subset_1(U_6467,u1_struct_0(U_6468))
| sP1150(U_6468)
| ~ l1_group_1(U_6468)
| v3_struct_0(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_9,plain,
( m1_subset_1(sK800(U_6468),u1_struct_0(U_6468))
| ~ sP1150(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_10,plain,
( m1_subset_1(sK801(U_6468),u1_struct_0(U_6468))
| ~ sP1150(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_11,plain,
( m1_subset_1(sK802(U_6468),u1_struct_0(U_6468))
| ~ sP1150(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_12,plain,
( k1_group_1(U_6468,k1_group_1(U_6468,sK800(U_6468),sK801(U_6468)),sK802(U_6468)) != k1_group_1(U_6468,sK800(U_6468),k1_group_1(U_6468,sK801(U_6468),sK802(U_6468)))
| ~ sP1150(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_13,plain,
( m1_subset_1(sK803(U_6468,U_6467),u1_struct_0(U_6468))
| ~ sP1151(U_6467,U_6465,U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_14,plain,
( k1_group_1(U_6468,U_6465,sK803(U_6468,U_6467)) != U_6467
| k1_group_1(U_6468,sK803(U_6468,U_6467),U_6465) != U_6467
| ~ m1_subset_1(U_6465,u1_struct_0(U_6468))
| k1_group_1(U_6468,U_6467,sK803(U_6468,U_6467)) != sK803(U_6468,U_6467)
| k1_group_1(U_6468,sK803(U_6468,U_6467),U_6467) != sK803(U_6468,U_6467)
| ~ sP1151(U_6467,U_6465,U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_15,plain,
( ~ v3_struct_0(U_6468)
| ~ sP1152(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_16,plain,
( v3_group_1(U_6468)
| ~ sP1152(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_17,plain,
( v4_group_1(U_6468)
| ~ sP1152(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
cnf(f_2469_18,plain,
( l1_group_1(U_6468)
| ~ sP1152(U_6468) ),
inference(clausify,[status(thm)],[f_2469_7]) ).
fof(f_2470_1,plain,
! [A] :
( ( v3_group_1(A)
& v4_group_1(A) )
| ? [B] :
( ? [C] :
( ( ! [D] :
( k1_group_1(A,D,B) != C
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ! [D] :
( k1_group_1(A,B,D) != C
| ~ m1_subset_1(D,u1_struct_0(A)) ) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ? [B] :
( ? [C] :
( ? [D] :
( k1_group_1(A,k1_group_1(A,B,C),D) != k1_group_1(A,B,k1_group_1(A,C,D))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_group_1]) ).
fof(f_2470_2,plain,
! [U_6476] :
( ( v3_group_1(U_6476)
& v4_group_1(U_6476) )
| ? [U_6475] :
( ? [U_6474] :
( ( ! [U_6473] :
( k1_group_1(U_6476,U_6473,U_6475) != U_6474
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476)) )
| ! [U_6472] :
( k1_group_1(U_6476,U_6475,U_6472) != U_6474
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476)) ) )
& m1_subset_1(U_6474,u1_struct_0(U_6476)) )
& m1_subset_1(U_6475,u1_struct_0(U_6476)) )
| ? [U_6471] :
( ? [U_6470] :
( ? [U_6469] :
( k1_group_1(U_6476,k1_group_1(U_6476,U_6471,U_6470),U_6469) != k1_group_1(U_6476,U_6471,k1_group_1(U_6476,U_6470,U_6469))
& m1_subset_1(U_6469,u1_struct_0(U_6476)) )
& m1_subset_1(U_6470,u1_struct_0(U_6476)) )
& m1_subset_1(U_6471,u1_struct_0(U_6476)) )
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(variable_rename,[status(thm)],[f_2470_1]) ).
fof(f_2470_3,plain,
! [U_6476] :
( ( v3_group_1(U_6476)
& v4_group_1(U_6476) )
| ? [U_6475] :
( ? [U_6474] :
( ( ! [U_6473] :
( k1_group_1(U_6476,U_6473,U_6475) != U_6474
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476)) )
| ! [U_6472] :
( k1_group_1(U_6476,U_6475,U_6472) != U_6474
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476)) ) )
& m1_subset_1(U_6474,u1_struct_0(U_6476)) )
& m1_subset_1(U_6475,u1_struct_0(U_6476)) )
| ( ? [U_6470] :
( ? [U_6469] :
( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),U_6470),U_6469) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,U_6470,U_6469))
& m1_subset_1(U_6469,u1_struct_0(U_6476)) )
& m1_subset_1(U_6470,u1_struct_0(U_6476)) )
& m1_subset_1(sK804(U_6476),u1_struct_0(U_6476)) )
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK804]),skolemize(U_6471,sK804(U_6476))],[f_2470_2]) ).
fof(f_2470_4,plain,
! [U_6476] :
( ( v3_group_1(U_6476)
& v4_group_1(U_6476) )
| ? [U_6475] :
( ? [U_6474] :
( ( ! [U_6473] :
( k1_group_1(U_6476,U_6473,U_6475) != U_6474
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476)) )
| ! [U_6472] :
( k1_group_1(U_6476,U_6475,U_6472) != U_6474
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476)) ) )
& m1_subset_1(U_6474,u1_struct_0(U_6476)) )
& m1_subset_1(U_6475,u1_struct_0(U_6476)) )
| ( ? [U_6469] :
( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),sK805(U_6476)),U_6469) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,sK805(U_6476),U_6469))
& m1_subset_1(U_6469,u1_struct_0(U_6476)) )
& m1_subset_1(sK805(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK804(U_6476),u1_struct_0(U_6476)) )
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK805]),skolemize(U_6470,sK805(U_6476))],[f_2470_3]) ).
fof(f_2470_5,plain,
! [U_6476] :
( ( v3_group_1(U_6476)
& v4_group_1(U_6476) )
| ? [U_6475] :
( ? [U_6474] :
( ( ! [U_6473] :
( k1_group_1(U_6476,U_6473,U_6475) != U_6474
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476)) )
| ! [U_6472] :
( k1_group_1(U_6476,U_6475,U_6472) != U_6474
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476)) ) )
& m1_subset_1(U_6474,u1_struct_0(U_6476)) )
& m1_subset_1(U_6475,u1_struct_0(U_6476)) )
| ( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),sK805(U_6476)),sK806(U_6476)) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,sK805(U_6476),sK806(U_6476)))
& m1_subset_1(sK806(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK805(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK804(U_6476),u1_struct_0(U_6476)) )
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK806]),skolemize(U_6469,sK806(U_6476))],[f_2470_4]) ).
fof(f_2470_6,plain,
! [U_6476] :
( ( v3_group_1(U_6476)
& v4_group_1(U_6476) )
| ( ? [U_6474] :
( ( ! [U_6473] :
( k1_group_1(U_6476,U_6473,sK807(U_6476)) != U_6474
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476)) )
| ! [U_6472] :
( k1_group_1(U_6476,sK807(U_6476),U_6472) != U_6474
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476)) ) )
& m1_subset_1(U_6474,u1_struct_0(U_6476)) )
& m1_subset_1(sK807(U_6476),u1_struct_0(U_6476)) )
| ( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),sK805(U_6476)),sK806(U_6476)) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,sK805(U_6476),sK806(U_6476)))
& m1_subset_1(sK806(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK805(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK804(U_6476),u1_struct_0(U_6476)) )
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK807]),skolemize(U_6475,sK807(U_6476))],[f_2470_5]) ).
fof(f_2470_7,plain,
! [U_6476] :
( ( v3_group_1(U_6476)
& v4_group_1(U_6476) )
| ( ( ! [U_6473] :
( k1_group_1(U_6476,U_6473,sK807(U_6476)) != sK808(U_6476)
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476)) )
| ! [U_6472] :
( k1_group_1(U_6476,sK807(U_6476),U_6472) != sK808(U_6476)
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476)) ) )
& m1_subset_1(sK808(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK807(U_6476),u1_struct_0(U_6476)) )
| ( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),sK805(U_6476)),sK806(U_6476)) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,sK805(U_6476),sK806(U_6476)))
& m1_subset_1(sK806(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK805(U_6476),u1_struct_0(U_6476))
& m1_subset_1(sK804(U_6476),u1_struct_0(U_6476)) )
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK808]),skolemize(U_6474,sK808(U_6476))],[f_2470_6]) ).
fof(f_2470_8,plain,
( ! [U_6476] :
( v3_group_1(U_6476)
| ~ sP1155(U_6476) )
& ! [U_6476] :
( v4_group_1(U_6476)
| ~ sP1155(U_6476) )
& ! [U_6472,U_6473,U_6476] :
( k1_group_1(U_6476,U_6473,sK807(U_6476)) != sK808(U_6476)
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476))
| k1_group_1(U_6476,sK807(U_6476),U_6472) != sK808(U_6476)
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476))
| ~ sP1154(U_6472,U_6473,U_6476) )
& ! [U_6472,U_6473,U_6476] :
( m1_subset_1(sK808(U_6476),u1_struct_0(U_6476))
| ~ sP1154(U_6472,U_6473,U_6476) )
& ! [U_6472,U_6473,U_6476] :
( m1_subset_1(sK807(U_6476),u1_struct_0(U_6476))
| ~ sP1154(U_6472,U_6473,U_6476) )
& ! [U_6476] :
( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),sK805(U_6476)),sK806(U_6476)) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,sK805(U_6476),sK806(U_6476)))
| ~ sP1153(U_6476) )
& ! [U_6476] :
( m1_subset_1(sK806(U_6476),u1_struct_0(U_6476))
| ~ sP1153(U_6476) )
& ! [U_6476] :
( m1_subset_1(sK805(U_6476),u1_struct_0(U_6476))
| ~ sP1153(U_6476) )
& ! [U_6476] :
( m1_subset_1(sK804(U_6476),u1_struct_0(U_6476))
| ~ sP1153(U_6476) )
& ! [U_6472,U_6473,U_6476] :
( sP1155(U_6476)
| sP1154(U_6472,U_6473,U_6476)
| sP1153(U_6476)
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1153,sP1154,sP1155])],[f_2470_7]) ).
cnf(f_2470_9,plain,
( sP1155(U_6476)
| sP1154(U_6472,U_6473,U_6476)
| sP1153(U_6476)
| ~ l1_group_1(U_6476)
| v3_struct_0(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_10,plain,
( m1_subset_1(sK804(U_6476),u1_struct_0(U_6476))
| ~ sP1153(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_11,plain,
( m1_subset_1(sK805(U_6476),u1_struct_0(U_6476))
| ~ sP1153(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_12,plain,
( m1_subset_1(sK806(U_6476),u1_struct_0(U_6476))
| ~ sP1153(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_13,plain,
( k1_group_1(U_6476,k1_group_1(U_6476,sK804(U_6476),sK805(U_6476)),sK806(U_6476)) != k1_group_1(U_6476,sK804(U_6476),k1_group_1(U_6476,sK805(U_6476),sK806(U_6476)))
| ~ sP1153(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_14,plain,
( m1_subset_1(sK807(U_6476),u1_struct_0(U_6476))
| ~ sP1154(U_6472,U_6473,U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_15,plain,
( m1_subset_1(sK808(U_6476),u1_struct_0(U_6476))
| ~ sP1154(U_6472,U_6473,U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_16,plain,
( k1_group_1(U_6476,U_6473,sK807(U_6476)) != sK808(U_6476)
| ~ m1_subset_1(U_6473,u1_struct_0(U_6476))
| k1_group_1(U_6476,sK807(U_6476),U_6472) != sK808(U_6476)
| ~ m1_subset_1(U_6472,u1_struct_0(U_6476))
| ~ sP1154(U_6472,U_6473,U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_17,plain,
( v4_group_1(U_6476)
| ~ sP1155(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
cnf(f_2470_18,plain,
( v3_group_1(U_6476)
| ~ sP1155(U_6476) ),
inference(clausify,[status(thm)],[f_2470_8]) ).
fof(f_2471_1,plain,
( v3_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v4_group_1(g1_group_1(k1_numbers,k33_binop_2)) ),
inference(fof_nnf,[status(thm)],[t7_group_1]) ).
fof(f_2471_2,plain,
( v3_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v4_group_1(g1_group_1(k1_numbers,k33_binop_2)) ),
inference(definitional_conversion,[status(esa)],[f_2471_1]) ).
cnf(f_2471_3,plain,
v4_group_1(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2471_2]) ).
cnf(f_2471_4,plain,
v3_group_1(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2471_2]) ).
fof(f_2472_1,plain,
! [A] :
( ! [B] :
( ( ( B = k2_group_1(A)
| ? [C] :
( ( k1_group_1(A,B,C) != C
| k1_group_1(A,C,B) != C )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ! [C] :
( ( k1_group_1(A,B,C) = C
& k1_group_1(A,C,B) = C )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| B != k2_group_1(A) ) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v2_group_1(A)
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_group_1]) ).
fof(f_2472_2,plain,
! [U_6480] :
( ! [U_6479] :
( ( ( U_6479 = k2_group_1(U_6480)
| ? [U_6478] :
( ( k1_group_1(U_6480,U_6479,U_6478) != U_6478
| k1_group_1(U_6480,U_6478,U_6479) != U_6478 )
& m1_subset_1(U_6478,u1_struct_0(U_6480)) ) )
& ( ! [U_6477] :
( ( k1_group_1(U_6480,U_6479,U_6477) = U_6477
& k1_group_1(U_6480,U_6477,U_6479) = U_6477 )
| ~ m1_subset_1(U_6477,u1_struct_0(U_6480)) )
| U_6479 != k2_group_1(U_6480) ) )
| ~ m1_subset_1(U_6479,u1_struct_0(U_6480)) )
| ~ v2_group_1(U_6480)
| ~ l1_group_1(U_6480)
| v3_struct_0(U_6480) ),
inference(variable_rename,[status(thm)],[f_2472_1]) ).
fof(f_2472_3,plain,
! [U_6480] :
( ! [U_6479] :
( ( ( U_6479 = k2_group_1(U_6480)
| ( ( k1_group_1(U_6480,U_6479,sK809(U_6480,U_6479)) != sK809(U_6480,U_6479)
| k1_group_1(U_6480,sK809(U_6480,U_6479),U_6479) != sK809(U_6480,U_6479) )
& m1_subset_1(sK809(U_6480,U_6479),u1_struct_0(U_6480)) ) )
& ( ! [U_6477] :
( ( k1_group_1(U_6480,U_6479,U_6477) = U_6477
& k1_group_1(U_6480,U_6477,U_6479) = U_6477 )
| ~ m1_subset_1(U_6477,u1_struct_0(U_6480)) )
| U_6479 != k2_group_1(U_6480) ) )
| ~ m1_subset_1(U_6479,u1_struct_0(U_6480)) )
| ~ v2_group_1(U_6480)
| ~ l1_group_1(U_6480)
| v3_struct_0(U_6480) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK809]),skolemize(U_6478,sK809(U_6480,U_6479))],[f_2472_2]) ).
fof(f_2472_4,plain,
( ! [U_6479,U_6480] :
( k1_group_1(U_6480,U_6479,sK809(U_6480,U_6479)) != sK809(U_6480,U_6479)
| k1_group_1(U_6480,sK809(U_6480,U_6479),U_6479) != sK809(U_6480,U_6479)
| ~ sP1157(U_6479,U_6480) )
& ! [U_6479,U_6480] :
( m1_subset_1(sK809(U_6480,U_6479),u1_struct_0(U_6480))
| ~ sP1157(U_6479,U_6480) )
& ! [U_6477,U_6479,U_6480] :
( k1_group_1(U_6480,U_6479,U_6477) = U_6477
| ~ sP1156(U_6477,U_6479,U_6480) )
& ! [U_6477,U_6479,U_6480] :
( k1_group_1(U_6480,U_6477,U_6479) = U_6477
| ~ sP1156(U_6477,U_6479,U_6480) )
& ! [U_6477,U_6479,U_6480] :
( U_6479 = k2_group_1(U_6480)
| sP1157(U_6479,U_6480)
| ~ sP1158(U_6477,U_6479,U_6480) )
& ! [U_6477,U_6479,U_6480] :
( sP1156(U_6477,U_6479,U_6480)
| ~ m1_subset_1(U_6477,u1_struct_0(U_6480))
| U_6479 != k2_group_1(U_6480)
| ~ sP1158(U_6477,U_6479,U_6480) )
& ! [U_6477,U_6479,U_6480] :
( sP1158(U_6477,U_6479,U_6480)
| ~ m1_subset_1(U_6479,u1_struct_0(U_6480))
| ~ v2_group_1(U_6480)
| ~ l1_group_1(U_6480)
| v3_struct_0(U_6480) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1156,sP1157,sP1158])],[f_2472_3]) ).
cnf(f_2472_5,plain,
( sP1158(U_6477,U_6479,U_6480)
| ~ m1_subset_1(U_6479,u1_struct_0(U_6480))
| ~ v2_group_1(U_6480)
| ~ l1_group_1(U_6480)
| v3_struct_0(U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
cnf(f_2472_6,plain,
( sP1156(U_6477,U_6479,U_6480)
| ~ m1_subset_1(U_6477,u1_struct_0(U_6480))
| U_6479 != k2_group_1(U_6480)
| ~ sP1158(U_6477,U_6479,U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
cnf(f_2472_7,plain,
( U_6479 = k2_group_1(U_6480)
| sP1157(U_6479,U_6480)
| ~ sP1158(U_6477,U_6479,U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
cnf(f_2472_8,plain,
( k1_group_1(U_6480,U_6477,U_6479) = U_6477
| ~ sP1156(U_6477,U_6479,U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
cnf(f_2472_9,plain,
( k1_group_1(U_6480,U_6479,U_6477) = U_6477
| ~ sP1156(U_6477,U_6479,U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
cnf(f_2472_10,plain,
( m1_subset_1(sK809(U_6480,U_6479),u1_struct_0(U_6480))
| ~ sP1157(U_6479,U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
cnf(f_2472_11,plain,
( k1_group_1(U_6480,U_6479,sK809(U_6480,U_6479)) != sK809(U_6480,U_6479)
| k1_group_1(U_6480,sK809(U_6480,U_6479),U_6479) != sK809(U_6480,U_6479)
| ~ sP1157(U_6479,U_6480) ),
inference(clausify,[status(thm)],[f_2472_4]) ).
fof(f_2473_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_group_1]) ).
fof(f_2473_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2473_1]) ).
cnf(f_2473_3,plain,
$true,
inference(clausify,[status(thm)],[f_2473_2]) ).
fof(f_2474_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_group_1]) ).
fof(f_2474_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2474_1]) ).
cnf(f_2474_3,plain,
$true,
inference(clausify,[status(thm)],[f_2474_2]) ).
fof(f_2475_1,plain,
! [A] :
( ! [B] :
( B = k2_group_1(A)
| ? [C] :
( ( k1_group_1(A,B,C) != C
| k1_group_1(A,C,B) != C )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t10_group_1]) ).
fof(f_2475_2,plain,
! [U_6483] :
( ! [U_6482] :
( U_6482 = k2_group_1(U_6483)
| ? [U_6481] :
( ( k1_group_1(U_6483,U_6482,U_6481) != U_6481
| k1_group_1(U_6483,U_6481,U_6482) != U_6481 )
& m1_subset_1(U_6481,u1_struct_0(U_6483)) )
| ~ m1_subset_1(U_6482,u1_struct_0(U_6483)) )
| ~ l1_group_1(U_6483)
| ~ v3_group_1(U_6483)
| v3_struct_0(U_6483) ),
inference(variable_rename,[status(thm)],[f_2475_1]) ).
fof(f_2475_3,plain,
! [U_6483] :
( ! [U_6482] :
( U_6482 = k2_group_1(U_6483)
| ( ( k1_group_1(U_6483,U_6482,sK810(U_6483,U_6482)) != sK810(U_6483,U_6482)
| k1_group_1(U_6483,sK810(U_6483,U_6482),U_6482) != sK810(U_6483,U_6482) )
& m1_subset_1(sK810(U_6483,U_6482),u1_struct_0(U_6483)) )
| ~ m1_subset_1(U_6482,u1_struct_0(U_6483)) )
| ~ l1_group_1(U_6483)
| ~ v3_group_1(U_6483)
| v3_struct_0(U_6483) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK810]),skolemize(U_6481,sK810(U_6483,U_6482))],[f_2475_2]) ).
fof(f_2475_4,plain,
( ! [U_6482,U_6483] :
( k1_group_1(U_6483,U_6482,sK810(U_6483,U_6482)) != sK810(U_6483,U_6482)
| k1_group_1(U_6483,sK810(U_6483,U_6482),U_6482) != sK810(U_6483,U_6482)
| ~ sP1159(U_6482,U_6483) )
& ! [U_6482,U_6483] :
( m1_subset_1(sK810(U_6483,U_6482),u1_struct_0(U_6483))
| ~ sP1159(U_6482,U_6483) )
& ! [U_6482,U_6483] :
( U_6482 = k2_group_1(U_6483)
| sP1159(U_6482,U_6483)
| ~ m1_subset_1(U_6482,u1_struct_0(U_6483))
| ~ l1_group_1(U_6483)
| ~ v3_group_1(U_6483)
| v3_struct_0(U_6483) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1159])],[f_2475_3]) ).
cnf(f_2475_5,plain,
( U_6482 = k2_group_1(U_6483)
| sP1159(U_6482,U_6483)
| ~ m1_subset_1(U_6482,u1_struct_0(U_6483))
| ~ l1_group_1(U_6483)
| ~ v3_group_1(U_6483)
| v3_struct_0(U_6483) ),
inference(clausify,[status(thm)],[f_2475_4]) ).
cnf(f_2475_6,plain,
( m1_subset_1(sK810(U_6483,U_6482),u1_struct_0(U_6483))
| ~ sP1159(U_6482,U_6483) ),
inference(clausify,[status(thm)],[f_2475_4]) ).
cnf(f_2475_7,plain,
( k1_group_1(U_6483,U_6482,sK810(U_6483,U_6482)) != sK810(U_6483,U_6482)
| k1_group_1(U_6483,sK810(U_6483,U_6482),U_6482) != sK810(U_6483,U_6482)
| ~ sP1159(U_6482,U_6483) ),
inference(clausify,[status(thm)],[f_2475_4]) ).
fof(f_2476_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k3_group_1(A,B)
| k1_group_1(A,C,B) != k2_group_1(A)
| k1_group_1(A,B,C) != k2_group_1(A) )
& ( ( k1_group_1(A,C,B) = k2_group_1(A)
& k1_group_1(A,B,C) = k2_group_1(A) )
| C != k3_group_1(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_group_1]) ).
fof(f_2476_2,plain,
! [U_6486] :
( ! [U_6485] :
( ! [U_6484] :
( ( ( U_6484 = k3_group_1(U_6486,U_6485)
| k1_group_1(U_6486,U_6484,U_6485) != k2_group_1(U_6486)
| k1_group_1(U_6486,U_6485,U_6484) != k2_group_1(U_6486) )
& ( ( k1_group_1(U_6486,U_6484,U_6485) = k2_group_1(U_6486)
& k1_group_1(U_6486,U_6485,U_6484) = k2_group_1(U_6486) )
| U_6484 != k3_group_1(U_6486,U_6485) ) )
| ~ m1_subset_1(U_6484,u1_struct_0(U_6486)) )
| ~ m1_subset_1(U_6485,u1_struct_0(U_6486)) )
| ~ l1_group_1(U_6486)
| ~ v4_group_1(U_6486)
| ~ v3_group_1(U_6486)
| v3_struct_0(U_6486) ),
inference(variable_rename,[status(thm)],[f_2476_1]) ).
fof(f_2476_3,plain,
( ! [U_6485,U_6484,U_6486] :
( k1_group_1(U_6486,U_6484,U_6485) = k2_group_1(U_6486)
| ~ sP1160(U_6485,U_6484,U_6486) )
& ! [U_6485,U_6484,U_6486] :
( k1_group_1(U_6486,U_6485,U_6484) = k2_group_1(U_6486)
| ~ sP1160(U_6485,U_6484,U_6486) )
& ! [U_6485,U_6484,U_6486] :
( U_6484 = k3_group_1(U_6486,U_6485)
| k1_group_1(U_6486,U_6484,U_6485) != k2_group_1(U_6486)
| k1_group_1(U_6486,U_6485,U_6484) != k2_group_1(U_6486)
| ~ sP1161(U_6485,U_6484,U_6486) )
& ! [U_6485,U_6484,U_6486] :
( sP1160(U_6485,U_6484,U_6486)
| U_6484 != k3_group_1(U_6486,U_6485)
| ~ sP1161(U_6485,U_6484,U_6486) )
& ! [U_6485,U_6484,U_6486] :
( sP1161(U_6485,U_6484,U_6486)
| ~ m1_subset_1(U_6484,u1_struct_0(U_6486))
| ~ m1_subset_1(U_6485,u1_struct_0(U_6486))
| ~ l1_group_1(U_6486)
| ~ v4_group_1(U_6486)
| ~ v3_group_1(U_6486)
| v3_struct_0(U_6486) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1160,sP1161])],[f_2476_2]) ).
cnf(f_2476_4,plain,
( sP1161(U_6485,U_6484,U_6486)
| ~ m1_subset_1(U_6484,u1_struct_0(U_6486))
| ~ m1_subset_1(U_6485,u1_struct_0(U_6486))
| ~ l1_group_1(U_6486)
| ~ v4_group_1(U_6486)
| ~ v3_group_1(U_6486)
| v3_struct_0(U_6486) ),
inference(clausify,[status(thm)],[f_2476_3]) ).
cnf(f_2476_5,plain,
( sP1160(U_6485,U_6484,U_6486)
| U_6484 != k3_group_1(U_6486,U_6485)
| ~ sP1161(U_6485,U_6484,U_6486) ),
inference(clausify,[status(thm)],[f_2476_3]) ).
cnf(f_2476_6,plain,
( U_6484 = k3_group_1(U_6486,U_6485)
| k1_group_1(U_6486,U_6484,U_6485) != k2_group_1(U_6486)
| k1_group_1(U_6486,U_6485,U_6484) != k2_group_1(U_6486)
| ~ sP1161(U_6485,U_6484,U_6486) ),
inference(clausify,[status(thm)],[f_2476_3]) ).
cnf(f_2476_7,plain,
( k1_group_1(U_6486,U_6485,U_6484) = k2_group_1(U_6486)
| ~ sP1160(U_6485,U_6484,U_6486) ),
inference(clausify,[status(thm)],[f_2476_3]) ).
cnf(f_2476_8,plain,
( k1_group_1(U_6486,U_6484,U_6485) = k2_group_1(U_6486)
| ~ sP1160(U_6485,U_6484,U_6486) ),
inference(clausify,[status(thm)],[f_2476_3]) ).
fof(f_2477_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_group_1]) ).
fof(f_2477_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2477_1]) ).
cnf(f_2477_3,plain,
$true,
inference(clausify,[status(thm)],[f_2477_2]) ).
fof(f_2478_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k3_group_1(A,B)
| k1_group_1(A,C,B) != k2_group_1(A)
| k1_group_1(A,B,C) != k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t12_group_1]) ).
fof(f_2478_2,plain,
! [U_6489] :
( ! [U_6488] :
( ! [U_6487] :
( U_6487 = k3_group_1(U_6489,U_6488)
| k1_group_1(U_6489,U_6487,U_6488) != k2_group_1(U_6489)
| k1_group_1(U_6489,U_6488,U_6487) != k2_group_1(U_6489)
| ~ m1_subset_1(U_6487,u1_struct_0(U_6489)) )
| ~ m1_subset_1(U_6488,u1_struct_0(U_6489)) )
| ~ l1_group_1(U_6489)
| ~ v4_group_1(U_6489)
| ~ v3_group_1(U_6489)
| v3_struct_0(U_6489) ),
inference(variable_rename,[status(thm)],[f_2478_1]) ).
fof(f_2478_3,plain,
! [U_6487,U_6489,U_6488] :
( U_6487 = k3_group_1(U_6489,U_6488)
| k1_group_1(U_6489,U_6487,U_6488) != k2_group_1(U_6489)
| k1_group_1(U_6489,U_6488,U_6487) != k2_group_1(U_6489)
| ~ m1_subset_1(U_6487,u1_struct_0(U_6489))
| ~ m1_subset_1(U_6488,u1_struct_0(U_6489))
| ~ l1_group_1(U_6489)
| ~ v4_group_1(U_6489)
| ~ v3_group_1(U_6489)
| v3_struct_0(U_6489) ),
inference(definitional_conversion,[status(esa)],[f_2478_2]) ).
cnf(f_2478_4,plain,
( U_6487 = k3_group_1(U_6489,U_6488)
| k1_group_1(U_6489,U_6487,U_6488) != k2_group_1(U_6489)
| k1_group_1(U_6489,U_6488,U_6487) != k2_group_1(U_6489)
| ~ m1_subset_1(U_6487,u1_struct_0(U_6489))
| ~ m1_subset_1(U_6488,u1_struct_0(U_6489))
| ~ l1_group_1(U_6489)
| ~ v4_group_1(U_6489)
| ~ v3_group_1(U_6489)
| v3_struct_0(U_6489) ),
inference(clausify,[status(thm)],[f_2478_3]) ).
fof(f_2479_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_group_1]) ).
fof(f_2479_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2479_1]) ).
cnf(f_2479_3,plain,
$true,
inference(clausify,[status(thm)],[f_2479_2]) ).
fof(f_2480_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| ( k1_group_1(A,C,B) != k1_group_1(A,D,B)
& k1_group_1(A,B,C) != k1_group_1(A,B,D) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t14_group_1]) ).
fof(f_2480_2,plain,
! [U_6493] :
( ! [U_6492] :
( ! [U_6491] :
( ! [U_6490] :
( U_6491 = U_6490
| ( k1_group_1(U_6493,U_6491,U_6492) != k1_group_1(U_6493,U_6490,U_6492)
& k1_group_1(U_6493,U_6492,U_6491) != k1_group_1(U_6493,U_6492,U_6490) )
| ~ m1_subset_1(U_6490,u1_struct_0(U_6493)) )
| ~ m1_subset_1(U_6491,u1_struct_0(U_6493)) )
| ~ m1_subset_1(U_6492,u1_struct_0(U_6493)) )
| ~ l1_group_1(U_6493)
| ~ v4_group_1(U_6493)
| ~ v3_group_1(U_6493)
| v3_struct_0(U_6493) ),
inference(variable_rename,[status(thm)],[f_2480_1]) ).
fof(f_2480_3,plain,
( ! [U_6492,U_6490,U_6491,U_6493] :
( k1_group_1(U_6493,U_6491,U_6492) != k1_group_1(U_6493,U_6490,U_6492)
| ~ sP1162(U_6492,U_6490,U_6491,U_6493) )
& ! [U_6492,U_6490,U_6491,U_6493] :
( k1_group_1(U_6493,U_6492,U_6491) != k1_group_1(U_6493,U_6492,U_6490)
| ~ sP1162(U_6492,U_6490,U_6491,U_6493) )
& ! [U_6492,U_6490,U_6491,U_6493] :
( U_6491 = U_6490
| sP1162(U_6492,U_6490,U_6491,U_6493)
| ~ m1_subset_1(U_6490,u1_struct_0(U_6493))
| ~ m1_subset_1(U_6491,u1_struct_0(U_6493))
| ~ m1_subset_1(U_6492,u1_struct_0(U_6493))
| ~ l1_group_1(U_6493)
| ~ v4_group_1(U_6493)
| ~ v3_group_1(U_6493)
| v3_struct_0(U_6493) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1162])],[f_2480_2]) ).
cnf(f_2480_4,plain,
( U_6491 = U_6490
| sP1162(U_6492,U_6490,U_6491,U_6493)
| ~ m1_subset_1(U_6490,u1_struct_0(U_6493))
| ~ m1_subset_1(U_6491,u1_struct_0(U_6493))
| ~ m1_subset_1(U_6492,u1_struct_0(U_6493))
| ~ l1_group_1(U_6493)
| ~ v4_group_1(U_6493)
| ~ v3_group_1(U_6493)
| v3_struct_0(U_6493) ),
inference(clausify,[status(thm)],[f_2480_3]) ).
cnf(f_2480_5,plain,
( k1_group_1(U_6493,U_6492,U_6491) != k1_group_1(U_6493,U_6492,U_6490)
| ~ sP1162(U_6492,U_6490,U_6491,U_6493) ),
inference(clausify,[status(thm)],[f_2480_3]) ).
cnf(f_2480_6,plain,
( k1_group_1(U_6493,U_6491,U_6492) != k1_group_1(U_6493,U_6490,U_6492)
| ~ sP1162(U_6492,U_6490,U_6491,U_6493) ),
inference(clausify,[status(thm)],[f_2480_3]) ).
fof(f_2481_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k2_group_1(A)
| ( k1_group_1(A,C,B) != B
& k1_group_1(A,B,C) != B )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t15_group_1]) ).
fof(f_2481_2,plain,
! [U_6496] :
( ! [U_6495] :
( ! [U_6494] :
( U_6494 = k2_group_1(U_6496)
| ( k1_group_1(U_6496,U_6494,U_6495) != U_6495
& k1_group_1(U_6496,U_6495,U_6494) != U_6495 )
| ~ m1_subset_1(U_6494,u1_struct_0(U_6496)) )
| ~ m1_subset_1(U_6495,u1_struct_0(U_6496)) )
| ~ l1_group_1(U_6496)
| ~ v4_group_1(U_6496)
| ~ v3_group_1(U_6496)
| v3_struct_0(U_6496) ),
inference(variable_rename,[status(thm)],[f_2481_1]) ).
fof(f_2481_3,plain,
( ! [U_6496,U_6494,U_6495] :
( k1_group_1(U_6496,U_6494,U_6495) != U_6495
| ~ sP1163(U_6496,U_6494,U_6495) )
& ! [U_6496,U_6494,U_6495] :
( k1_group_1(U_6496,U_6495,U_6494) != U_6495
| ~ sP1163(U_6496,U_6494,U_6495) )
& ! [U_6496,U_6494,U_6495] :
( U_6494 = k2_group_1(U_6496)
| sP1163(U_6496,U_6494,U_6495)
| ~ m1_subset_1(U_6494,u1_struct_0(U_6496))
| ~ m1_subset_1(U_6495,u1_struct_0(U_6496))
| ~ l1_group_1(U_6496)
| ~ v4_group_1(U_6496)
| ~ v3_group_1(U_6496)
| v3_struct_0(U_6496) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1163])],[f_2481_2]) ).
cnf(f_2481_4,plain,
( U_6494 = k2_group_1(U_6496)
| sP1163(U_6496,U_6494,U_6495)
| ~ m1_subset_1(U_6494,u1_struct_0(U_6496))
| ~ m1_subset_1(U_6495,u1_struct_0(U_6496))
| ~ l1_group_1(U_6496)
| ~ v4_group_1(U_6496)
| ~ v3_group_1(U_6496)
| v3_struct_0(U_6496) ),
inference(clausify,[status(thm)],[f_2481_3]) ).
cnf(f_2481_5,plain,
( k1_group_1(U_6496,U_6495,U_6494) != U_6495
| ~ sP1163(U_6496,U_6494,U_6495) ),
inference(clausify,[status(thm)],[f_2481_3]) ).
cnf(f_2481_6,plain,
( k1_group_1(U_6496,U_6494,U_6495) != U_6495
| ~ sP1163(U_6496,U_6494,U_6495) ),
inference(clausify,[status(thm)],[f_2481_3]) ).
fof(f_2482_1,plain,
! [A] :
( k3_group_1(A,k2_group_1(A)) = k2_group_1(A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t16_group_1]) ).
fof(f_2482_2,plain,
! [U_6497] :
( k3_group_1(U_6497,k2_group_1(U_6497)) = k2_group_1(U_6497)
| ~ l1_group_1(U_6497)
| ~ v4_group_1(U_6497)
| ~ v3_group_1(U_6497)
| v3_struct_0(U_6497) ),
inference(variable_rename,[status(thm)],[f_2482_1]) ).
fof(f_2482_3,plain,
! [U_6497] :
( k3_group_1(U_6497,k2_group_1(U_6497)) = k2_group_1(U_6497)
| ~ l1_group_1(U_6497)
| ~ v4_group_1(U_6497)
| ~ v3_group_1(U_6497)
| v3_struct_0(U_6497) ),
inference(definitional_conversion,[status(esa)],[f_2482_2]) ).
cnf(f_2482_4,plain,
( k3_group_1(U_6497,k2_group_1(U_6497)) = k2_group_1(U_6497)
| ~ l1_group_1(U_6497)
| ~ v4_group_1(U_6497)
| ~ v3_group_1(U_6497)
| v3_struct_0(U_6497) ),
inference(clausify,[status(thm)],[f_2482_3]) ).
fof(f_2483_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| k3_group_1(A,B) != k3_group_1(A,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t17_group_1]) ).
fof(f_2483_2,plain,
! [U_6500] :
( ! [U_6499] :
( ! [U_6498] :
( U_6499 = U_6498
| k3_group_1(U_6500,U_6499) != k3_group_1(U_6500,U_6498)
| ~ m1_subset_1(U_6498,u1_struct_0(U_6500)) )
| ~ m1_subset_1(U_6499,u1_struct_0(U_6500)) )
| ~ l1_group_1(U_6500)
| ~ v4_group_1(U_6500)
| ~ v3_group_1(U_6500)
| v3_struct_0(U_6500) ),
inference(variable_rename,[status(thm)],[f_2483_1]) ).
fof(f_2483_3,plain,
! [U_6498,U_6499,U_6500] :
( U_6499 = U_6498
| k3_group_1(U_6500,U_6499) != k3_group_1(U_6500,U_6498)
| ~ m1_subset_1(U_6498,u1_struct_0(U_6500))
| ~ m1_subset_1(U_6499,u1_struct_0(U_6500))
| ~ l1_group_1(U_6500)
| ~ v4_group_1(U_6500)
| ~ v3_group_1(U_6500)
| v3_struct_0(U_6500) ),
inference(definitional_conversion,[status(esa)],[f_2483_2]) ).
cnf(f_2483_4,plain,
( U_6499 = U_6498
| k3_group_1(U_6500,U_6499) != k3_group_1(U_6500,U_6498)
| ~ m1_subset_1(U_6498,u1_struct_0(U_6500))
| ~ m1_subset_1(U_6499,u1_struct_0(U_6500))
| ~ l1_group_1(U_6500)
| ~ v4_group_1(U_6500)
| ~ v3_group_1(U_6500)
| v3_struct_0(U_6500) ),
inference(clausify,[status(thm)],[f_2483_3]) ).
fof(f_2484_1,plain,
! [A] :
( ! [B] :
( B = k2_group_1(A)
| k3_group_1(A,B) != k2_group_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t18_group_1]) ).
fof(f_2484_2,plain,
! [U_6502] :
( ! [U_6501] :
( U_6501 = k2_group_1(U_6502)
| k3_group_1(U_6502,U_6501) != k2_group_1(U_6502)
| ~ m1_subset_1(U_6501,u1_struct_0(U_6502)) )
| ~ l1_group_1(U_6502)
| ~ v4_group_1(U_6502)
| ~ v3_group_1(U_6502)
| v3_struct_0(U_6502) ),
inference(variable_rename,[status(thm)],[f_2484_1]) ).
fof(f_2484_3,plain,
! [U_6501,U_6502] :
( U_6501 = k2_group_1(U_6502)
| k3_group_1(U_6502,U_6501) != k2_group_1(U_6502)
| ~ m1_subset_1(U_6501,u1_struct_0(U_6502))
| ~ l1_group_1(U_6502)
| ~ v4_group_1(U_6502)
| ~ v3_group_1(U_6502)
| v3_struct_0(U_6502) ),
inference(definitional_conversion,[status(esa)],[f_2484_2]) ).
cnf(f_2484_4,plain,
( U_6501 = k2_group_1(U_6502)
| k3_group_1(U_6502,U_6501) != k2_group_1(U_6502)
| ~ m1_subset_1(U_6501,u1_struct_0(U_6502))
| ~ l1_group_1(U_6502)
| ~ v4_group_1(U_6502)
| ~ v3_group_1(U_6502)
| v3_struct_0(U_6502) ),
inference(clausify,[status(thm)],[f_2484_3]) ).
fof(f_2485_1,plain,
! [A] :
( ! [B] :
( k3_group_1(A,k3_group_1(A,B)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_group_1]) ).
fof(f_2485_2,plain,
! [U_6504] :
( ! [U_6503] :
( k3_group_1(U_6504,k3_group_1(U_6504,U_6503)) = U_6503
| ~ m1_subset_1(U_6503,u1_struct_0(U_6504)) )
| ~ l1_group_1(U_6504)
| ~ v4_group_1(U_6504)
| ~ v3_group_1(U_6504)
| v3_struct_0(U_6504) ),
inference(variable_rename,[status(thm)],[f_2485_1]) ).
fof(f_2485_3,plain,
! [U_6503,U_6504] :
( k3_group_1(U_6504,k3_group_1(U_6504,U_6503)) = U_6503
| ~ m1_subset_1(U_6503,u1_struct_0(U_6504))
| ~ l1_group_1(U_6504)
| ~ v4_group_1(U_6504)
| ~ v3_group_1(U_6504)
| v3_struct_0(U_6504) ),
inference(definitional_conversion,[status(esa)],[f_2485_2]) ).
cnf(f_2485_4,plain,
( k3_group_1(U_6504,k3_group_1(U_6504,U_6503)) = U_6503
| ~ m1_subset_1(U_6503,u1_struct_0(U_6504))
| ~ l1_group_1(U_6504)
| ~ v4_group_1(U_6504)
| ~ v3_group_1(U_6504)
| v3_struct_0(U_6504) ),
inference(clausify,[status(thm)],[f_2485_3]) ).
fof(f_2486_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k3_group_1(A,B)
& B = k3_group_1(A,C) )
| ( k1_group_1(A,C,B) != k2_group_1(A)
& k1_group_1(A,B,C) != k2_group_1(A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_group_1]) ).
fof(f_2486_2,plain,
! [U_6507] :
( ! [U_6506] :
( ! [U_6505] :
( ( U_6505 = k3_group_1(U_6507,U_6506)
& U_6506 = k3_group_1(U_6507,U_6505) )
| ( k1_group_1(U_6507,U_6505,U_6506) != k2_group_1(U_6507)
& k1_group_1(U_6507,U_6506,U_6505) != k2_group_1(U_6507) )
| ~ m1_subset_1(U_6505,u1_struct_0(U_6507)) )
| ~ m1_subset_1(U_6506,u1_struct_0(U_6507)) )
| ~ l1_group_1(U_6507)
| ~ v4_group_1(U_6507)
| ~ v3_group_1(U_6507)
| v3_struct_0(U_6507) ),
inference(variable_rename,[status(thm)],[f_2486_1]) ).
fof(f_2486_3,plain,
( ! [U_6505,U_6507,U_6506] :
( U_6505 = k3_group_1(U_6507,U_6506)
| ~ sP1165(U_6505,U_6507,U_6506) )
& ! [U_6505,U_6507,U_6506] :
( U_6506 = k3_group_1(U_6507,U_6505)
| ~ sP1165(U_6505,U_6507,U_6506) )
& ! [U_6505,U_6507,U_6506] :
( k1_group_1(U_6507,U_6505,U_6506) != k2_group_1(U_6507)
| ~ sP1164(U_6505,U_6507,U_6506) )
& ! [U_6505,U_6507,U_6506] :
( k1_group_1(U_6507,U_6506,U_6505) != k2_group_1(U_6507)
| ~ sP1164(U_6505,U_6507,U_6506) )
& ! [U_6505,U_6507,U_6506] :
( sP1165(U_6505,U_6507,U_6506)
| sP1164(U_6505,U_6507,U_6506)
| ~ m1_subset_1(U_6505,u1_struct_0(U_6507))
| ~ m1_subset_1(U_6506,u1_struct_0(U_6507))
| ~ l1_group_1(U_6507)
| ~ v4_group_1(U_6507)
| ~ v3_group_1(U_6507)
| v3_struct_0(U_6507) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1164,sP1165])],[f_2486_2]) ).
cnf(f_2486_4,plain,
( sP1165(U_6505,U_6507,U_6506)
| sP1164(U_6505,U_6507,U_6506)
| ~ m1_subset_1(U_6505,u1_struct_0(U_6507))
| ~ m1_subset_1(U_6506,u1_struct_0(U_6507))
| ~ l1_group_1(U_6507)
| ~ v4_group_1(U_6507)
| ~ v3_group_1(U_6507)
| v3_struct_0(U_6507) ),
inference(clausify,[status(thm)],[f_2486_3]) ).
cnf(f_2486_5,plain,
( k1_group_1(U_6507,U_6506,U_6505) != k2_group_1(U_6507)
| ~ sP1164(U_6505,U_6507,U_6506) ),
inference(clausify,[status(thm)],[f_2486_3]) ).
cnf(f_2486_6,plain,
( k1_group_1(U_6507,U_6505,U_6506) != k2_group_1(U_6507)
| ~ sP1164(U_6505,U_6507,U_6506) ),
inference(clausify,[status(thm)],[f_2486_3]) ).
cnf(f_2486_7,plain,
( U_6506 = k3_group_1(U_6507,U_6505)
| ~ sP1165(U_6505,U_6507,U_6506) ),
inference(clausify,[status(thm)],[f_2486_3]) ).
cnf(f_2486_8,plain,
( U_6505 = k3_group_1(U_6507,U_6506)
| ~ sP1165(U_6505,U_6507,U_6506) ),
inference(clausify,[status(thm)],[f_2486_3]) ).
fof(f_2487_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k1_group_1(A,B,C) = D
| C != k1_group_1(A,k3_group_1(A,B),D) )
& ( C = k1_group_1(A,k3_group_1(A,B),D)
| k1_group_1(A,B,C) != D ) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t21_group_1]) ).
fof(f_2487_2,plain,
! [U_6511] :
( ! [U_6510] :
( ! [U_6509] :
( ! [U_6508] :
( ( ( k1_group_1(U_6511,U_6510,U_6509) = U_6508
| U_6509 != k1_group_1(U_6511,k3_group_1(U_6511,U_6510),U_6508) )
& ( U_6509 = k1_group_1(U_6511,k3_group_1(U_6511,U_6510),U_6508)
| k1_group_1(U_6511,U_6510,U_6509) != U_6508 ) )
| ~ m1_subset_1(U_6508,u1_struct_0(U_6511)) )
| ~ m1_subset_1(U_6509,u1_struct_0(U_6511)) )
| ~ m1_subset_1(U_6510,u1_struct_0(U_6511)) )
| ~ l1_group_1(U_6511)
| ~ v4_group_1(U_6511)
| ~ v3_group_1(U_6511)
| v3_struct_0(U_6511) ),
inference(variable_rename,[status(thm)],[f_2487_1]) ).
fof(f_2487_3,plain,
( ! [U_6509,U_6511,U_6510,U_6508] :
( k1_group_1(U_6511,U_6510,U_6509) = U_6508
| U_6509 != k1_group_1(U_6511,k3_group_1(U_6511,U_6510),U_6508)
| ~ sP1166(U_6509,U_6511,U_6510,U_6508) )
& ! [U_6509,U_6511,U_6510,U_6508] :
( U_6509 = k1_group_1(U_6511,k3_group_1(U_6511,U_6510),U_6508)
| k1_group_1(U_6511,U_6510,U_6509) != U_6508
| ~ sP1166(U_6509,U_6511,U_6510,U_6508) )
& ! [U_6509,U_6511,U_6510,U_6508] :
( sP1166(U_6509,U_6511,U_6510,U_6508)
| ~ m1_subset_1(U_6508,u1_struct_0(U_6511))
| ~ m1_subset_1(U_6509,u1_struct_0(U_6511))
| ~ m1_subset_1(U_6510,u1_struct_0(U_6511))
| ~ l1_group_1(U_6511)
| ~ v4_group_1(U_6511)
| ~ v3_group_1(U_6511)
| v3_struct_0(U_6511) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1166])],[f_2487_2]) ).
cnf(f_2487_4,plain,
( sP1166(U_6509,U_6511,U_6510,U_6508)
| ~ m1_subset_1(U_6508,u1_struct_0(U_6511))
| ~ m1_subset_1(U_6509,u1_struct_0(U_6511))
| ~ m1_subset_1(U_6510,u1_struct_0(U_6511))
| ~ l1_group_1(U_6511)
| ~ v4_group_1(U_6511)
| ~ v3_group_1(U_6511)
| v3_struct_0(U_6511) ),
inference(clausify,[status(thm)],[f_2487_3]) ).
cnf(f_2487_5,plain,
( U_6509 = k1_group_1(U_6511,k3_group_1(U_6511,U_6510),U_6508)
| k1_group_1(U_6511,U_6510,U_6509) != U_6508
| ~ sP1166(U_6509,U_6511,U_6510,U_6508) ),
inference(clausify,[status(thm)],[f_2487_3]) ).
cnf(f_2487_6,plain,
( k1_group_1(U_6511,U_6510,U_6509) = U_6508
| U_6509 != k1_group_1(U_6511,k3_group_1(U_6511,U_6510),U_6508)
| ~ sP1166(U_6509,U_6511,U_6510,U_6508) ),
inference(clausify,[status(thm)],[f_2487_3]) ).
fof(f_2488_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k1_group_1(A,B,C) = D
| B != k1_group_1(A,D,k3_group_1(A,C)) )
& ( B = k1_group_1(A,D,k3_group_1(A,C))
| k1_group_1(A,B,C) != D ) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_group_1]) ).
fof(f_2488_2,plain,
! [U_6515] :
( ! [U_6514] :
( ! [U_6513] :
( ! [U_6512] :
( ( ( k1_group_1(U_6515,U_6514,U_6513) = U_6512
| U_6514 != k1_group_1(U_6515,U_6512,k3_group_1(U_6515,U_6513)) )
& ( U_6514 = k1_group_1(U_6515,U_6512,k3_group_1(U_6515,U_6513))
| k1_group_1(U_6515,U_6514,U_6513) != U_6512 ) )
| ~ m1_subset_1(U_6512,u1_struct_0(U_6515)) )
| ~ m1_subset_1(U_6513,u1_struct_0(U_6515)) )
| ~ m1_subset_1(U_6514,u1_struct_0(U_6515)) )
| ~ l1_group_1(U_6515)
| ~ v4_group_1(U_6515)
| ~ v3_group_1(U_6515)
| v3_struct_0(U_6515) ),
inference(variable_rename,[status(thm)],[f_2488_1]) ).
fof(f_2488_3,plain,
( ! [U_6513,U_6512,U_6515,U_6514] :
( k1_group_1(U_6515,U_6514,U_6513) = U_6512
| U_6514 != k1_group_1(U_6515,U_6512,k3_group_1(U_6515,U_6513))
| ~ sP1167(U_6513,U_6512,U_6515,U_6514) )
& ! [U_6513,U_6512,U_6515,U_6514] :
( U_6514 = k1_group_1(U_6515,U_6512,k3_group_1(U_6515,U_6513))
| k1_group_1(U_6515,U_6514,U_6513) != U_6512
| ~ sP1167(U_6513,U_6512,U_6515,U_6514) )
& ! [U_6513,U_6512,U_6515,U_6514] :
( sP1167(U_6513,U_6512,U_6515,U_6514)
| ~ m1_subset_1(U_6512,u1_struct_0(U_6515))
| ~ m1_subset_1(U_6513,u1_struct_0(U_6515))
| ~ m1_subset_1(U_6514,u1_struct_0(U_6515))
| ~ l1_group_1(U_6515)
| ~ v4_group_1(U_6515)
| ~ v3_group_1(U_6515)
| v3_struct_0(U_6515) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1167])],[f_2488_2]) ).
cnf(f_2488_4,plain,
( sP1167(U_6513,U_6512,U_6515,U_6514)
| ~ m1_subset_1(U_6512,u1_struct_0(U_6515))
| ~ m1_subset_1(U_6513,u1_struct_0(U_6515))
| ~ m1_subset_1(U_6514,u1_struct_0(U_6515))
| ~ l1_group_1(U_6515)
| ~ v4_group_1(U_6515)
| ~ v3_group_1(U_6515)
| v3_struct_0(U_6515) ),
inference(clausify,[status(thm)],[f_2488_3]) ).
cnf(f_2488_5,plain,
( U_6514 = k1_group_1(U_6515,U_6512,k3_group_1(U_6515,U_6513))
| k1_group_1(U_6515,U_6514,U_6513) != U_6512
| ~ sP1167(U_6513,U_6512,U_6515,U_6514) ),
inference(clausify,[status(thm)],[f_2488_3]) ).
cnf(f_2488_6,plain,
( k1_group_1(U_6515,U_6514,U_6513) = U_6512
| U_6514 != k1_group_1(U_6515,U_6512,k3_group_1(U_6515,U_6513))
| ~ sP1167(U_6513,U_6512,U_6515,U_6514) ),
inference(clausify,[status(thm)],[f_2488_3]) ).
fof(f_2489_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( k1_group_1(A,B,D) = C
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t23_group_1]) ).
fof(f_2489_2,plain,
! [U_6519] :
( ! [U_6518] :
( ! [U_6517] :
( ? [U_6516] :
( k1_group_1(U_6519,U_6518,U_6516) = U_6517
& m1_subset_1(U_6516,u1_struct_0(U_6519)) )
| ~ m1_subset_1(U_6517,u1_struct_0(U_6519)) )
| ~ m1_subset_1(U_6518,u1_struct_0(U_6519)) )
| ~ l1_group_1(U_6519)
| ~ v4_group_1(U_6519)
| ~ v3_group_1(U_6519)
| v3_struct_0(U_6519) ),
inference(variable_rename,[status(thm)],[f_2489_1]) ).
fof(f_2489_3,plain,
! [U_6519] :
( ! [U_6518] :
( ! [U_6517] :
( ( k1_group_1(U_6519,U_6518,sK811(U_6519,U_6518,U_6517)) = U_6517
& m1_subset_1(sK811(U_6519,U_6518,U_6517),u1_struct_0(U_6519)) )
| ~ m1_subset_1(U_6517,u1_struct_0(U_6519)) )
| ~ m1_subset_1(U_6518,u1_struct_0(U_6519)) )
| ~ l1_group_1(U_6519)
| ~ v4_group_1(U_6519)
| ~ v3_group_1(U_6519)
| v3_struct_0(U_6519) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK811]),skolemize(U_6516,sK811(U_6519,U_6518,U_6517))],[f_2489_2]) ).
fof(f_2489_4,plain,
( ! [U_6517,U_6518,U_6519] :
( k1_group_1(U_6519,U_6518,sK811(U_6519,U_6518,U_6517)) = U_6517
| ~ sP1168(U_6517,U_6518,U_6519) )
& ! [U_6517,U_6518,U_6519] :
( m1_subset_1(sK811(U_6519,U_6518,U_6517),u1_struct_0(U_6519))
| ~ sP1168(U_6517,U_6518,U_6519) )
& ! [U_6517,U_6518,U_6519] :
( sP1168(U_6517,U_6518,U_6519)
| ~ m1_subset_1(U_6517,u1_struct_0(U_6519))
| ~ m1_subset_1(U_6518,u1_struct_0(U_6519))
| ~ l1_group_1(U_6519)
| ~ v4_group_1(U_6519)
| ~ v3_group_1(U_6519)
| v3_struct_0(U_6519) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1168])],[f_2489_3]) ).
cnf(f_2489_5,plain,
( sP1168(U_6517,U_6518,U_6519)
| ~ m1_subset_1(U_6517,u1_struct_0(U_6519))
| ~ m1_subset_1(U_6518,u1_struct_0(U_6519))
| ~ l1_group_1(U_6519)
| ~ v4_group_1(U_6519)
| ~ v3_group_1(U_6519)
| v3_struct_0(U_6519) ),
inference(clausify,[status(thm)],[f_2489_4]) ).
cnf(f_2489_6,plain,
( m1_subset_1(sK811(U_6519,U_6518,U_6517),u1_struct_0(U_6519))
| ~ sP1168(U_6517,U_6518,U_6519) ),
inference(clausify,[status(thm)],[f_2489_4]) ).
cnf(f_2489_7,plain,
( k1_group_1(U_6519,U_6518,sK811(U_6519,U_6518,U_6517)) = U_6517
| ~ sP1168(U_6517,U_6518,U_6519) ),
inference(clausify,[status(thm)],[f_2489_4]) ).
fof(f_2490_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( k1_group_1(A,D,B) = C
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t24_group_1]) ).
fof(f_2490_2,plain,
! [U_6523] :
( ! [U_6522] :
( ! [U_6521] :
( ? [U_6520] :
( k1_group_1(U_6523,U_6520,U_6522) = U_6521
& m1_subset_1(U_6520,u1_struct_0(U_6523)) )
| ~ m1_subset_1(U_6521,u1_struct_0(U_6523)) )
| ~ m1_subset_1(U_6522,u1_struct_0(U_6523)) )
| ~ l1_group_1(U_6523)
| ~ v4_group_1(U_6523)
| ~ v3_group_1(U_6523)
| v3_struct_0(U_6523) ),
inference(variable_rename,[status(thm)],[f_2490_1]) ).
fof(f_2490_3,plain,
! [U_6523] :
( ! [U_6522] :
( ! [U_6521] :
( ( k1_group_1(U_6523,sK812(U_6523,U_6522,U_6521),U_6522) = U_6521
& m1_subset_1(sK812(U_6523,U_6522,U_6521),u1_struct_0(U_6523)) )
| ~ m1_subset_1(U_6521,u1_struct_0(U_6523)) )
| ~ m1_subset_1(U_6522,u1_struct_0(U_6523)) )
| ~ l1_group_1(U_6523)
| ~ v4_group_1(U_6523)
| ~ v3_group_1(U_6523)
| v3_struct_0(U_6523) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK812]),skolemize(U_6520,sK812(U_6523,U_6522,U_6521))],[f_2490_2]) ).
fof(f_2490_4,plain,
( ! [U_6522,U_6521,U_6523] :
( k1_group_1(U_6523,sK812(U_6523,U_6522,U_6521),U_6522) = U_6521
| ~ sP1169(U_6522,U_6521,U_6523) )
& ! [U_6522,U_6521,U_6523] :
( m1_subset_1(sK812(U_6523,U_6522,U_6521),u1_struct_0(U_6523))
| ~ sP1169(U_6522,U_6521,U_6523) )
& ! [U_6522,U_6521,U_6523] :
( sP1169(U_6522,U_6521,U_6523)
| ~ m1_subset_1(U_6521,u1_struct_0(U_6523))
| ~ m1_subset_1(U_6522,u1_struct_0(U_6523))
| ~ l1_group_1(U_6523)
| ~ v4_group_1(U_6523)
| ~ v3_group_1(U_6523)
| v3_struct_0(U_6523) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1169])],[f_2490_3]) ).
cnf(f_2490_5,plain,
( sP1169(U_6522,U_6521,U_6523)
| ~ m1_subset_1(U_6521,u1_struct_0(U_6523))
| ~ m1_subset_1(U_6522,u1_struct_0(U_6523))
| ~ l1_group_1(U_6523)
| ~ v4_group_1(U_6523)
| ~ v3_group_1(U_6523)
| v3_struct_0(U_6523) ),
inference(clausify,[status(thm)],[f_2490_4]) ).
cnf(f_2490_6,plain,
( m1_subset_1(sK812(U_6523,U_6522,U_6521),u1_struct_0(U_6523))
| ~ sP1169(U_6522,U_6521,U_6523) ),
inference(clausify,[status(thm)],[f_2490_4]) ).
cnf(f_2490_7,plain,
( k1_group_1(U_6523,sK812(U_6523,U_6522,U_6521),U_6522) = U_6521
| ~ sP1169(U_6522,U_6521,U_6523) ),
inference(clausify,[status(thm)],[f_2490_4]) ).
fof(f_2491_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_group_1]) ).
fof(f_2491_2,plain,
! [U_6526] :
( ! [U_6525] :
( ! [U_6524] :
( k3_group_1(U_6526,k1_group_1(U_6526,U_6525,U_6524)) = k1_group_1(U_6526,k3_group_1(U_6526,U_6524),k3_group_1(U_6526,U_6525))
| ~ m1_subset_1(U_6524,u1_struct_0(U_6526)) )
| ~ m1_subset_1(U_6525,u1_struct_0(U_6526)) )
| ~ l1_group_1(U_6526)
| ~ v4_group_1(U_6526)
| ~ v3_group_1(U_6526)
| v3_struct_0(U_6526) ),
inference(variable_rename,[status(thm)],[f_2491_1]) ).
fof(f_2491_3,plain,
! [U_6524,U_6526,U_6525] :
( k3_group_1(U_6526,k1_group_1(U_6526,U_6525,U_6524)) = k1_group_1(U_6526,k3_group_1(U_6526,U_6524),k3_group_1(U_6526,U_6525))
| ~ m1_subset_1(U_6524,u1_struct_0(U_6526))
| ~ m1_subset_1(U_6525,u1_struct_0(U_6526))
| ~ l1_group_1(U_6526)
| ~ v4_group_1(U_6526)
| ~ v3_group_1(U_6526)
| v3_struct_0(U_6526) ),
inference(definitional_conversion,[status(esa)],[f_2491_2]) ).
cnf(f_2491_4,plain,
( k3_group_1(U_6526,k1_group_1(U_6526,U_6525,U_6524)) = k1_group_1(U_6526,k3_group_1(U_6526,U_6524),k3_group_1(U_6526,U_6525))
| ~ m1_subset_1(U_6524,u1_struct_0(U_6526))
| ~ m1_subset_1(U_6525,u1_struct_0(U_6526))
| ~ l1_group_1(U_6526)
| ~ v4_group_1(U_6526)
| ~ v3_group_1(U_6526)
| v3_struct_0(U_6526) ),
inference(clausify,[status(thm)],[f_2491_3]) ).
fof(f_2492_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k1_group_1(A,B,C) = k1_group_1(A,C,B)
| k3_group_1(A,k1_group_1(A,B,C)) != k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) )
& ( k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C))
| k1_group_1(A,B,C) != k1_group_1(A,C,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t26_group_1]) ).
fof(f_2492_2,plain,
! [U_6529] :
( ! [U_6528] :
( ! [U_6527] :
( ( ( k1_group_1(U_6529,U_6528,U_6527) = k1_group_1(U_6529,U_6527,U_6528)
| k3_group_1(U_6529,k1_group_1(U_6529,U_6528,U_6527)) != k1_group_1(U_6529,k3_group_1(U_6529,U_6528),k3_group_1(U_6529,U_6527)) )
& ( k3_group_1(U_6529,k1_group_1(U_6529,U_6528,U_6527)) = k1_group_1(U_6529,k3_group_1(U_6529,U_6528),k3_group_1(U_6529,U_6527))
| k1_group_1(U_6529,U_6528,U_6527) != k1_group_1(U_6529,U_6527,U_6528) ) )
| ~ m1_subset_1(U_6527,u1_struct_0(U_6529)) )
| ~ m1_subset_1(U_6528,u1_struct_0(U_6529)) )
| ~ l1_group_1(U_6529)
| ~ v4_group_1(U_6529)
| ~ v3_group_1(U_6529)
| v3_struct_0(U_6529) ),
inference(variable_rename,[status(thm)],[f_2492_1]) ).
fof(f_2492_3,plain,
( ! [U_6529,U_6527,U_6528] :
( k1_group_1(U_6529,U_6528,U_6527) = k1_group_1(U_6529,U_6527,U_6528)
| k3_group_1(U_6529,k1_group_1(U_6529,U_6528,U_6527)) != k1_group_1(U_6529,k3_group_1(U_6529,U_6528),k3_group_1(U_6529,U_6527))
| ~ sP1170(U_6529,U_6527,U_6528) )
& ! [U_6529,U_6527,U_6528] :
( k3_group_1(U_6529,k1_group_1(U_6529,U_6528,U_6527)) = k1_group_1(U_6529,k3_group_1(U_6529,U_6528),k3_group_1(U_6529,U_6527))
| k1_group_1(U_6529,U_6528,U_6527) != k1_group_1(U_6529,U_6527,U_6528)
| ~ sP1170(U_6529,U_6527,U_6528) )
& ! [U_6529,U_6527,U_6528] :
( sP1170(U_6529,U_6527,U_6528)
| ~ m1_subset_1(U_6527,u1_struct_0(U_6529))
| ~ m1_subset_1(U_6528,u1_struct_0(U_6529))
| ~ l1_group_1(U_6529)
| ~ v4_group_1(U_6529)
| ~ v3_group_1(U_6529)
| v3_struct_0(U_6529) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1170])],[f_2492_2]) ).
cnf(f_2492_4,plain,
( sP1170(U_6529,U_6527,U_6528)
| ~ m1_subset_1(U_6527,u1_struct_0(U_6529))
| ~ m1_subset_1(U_6528,u1_struct_0(U_6529))
| ~ l1_group_1(U_6529)
| ~ v4_group_1(U_6529)
| ~ v3_group_1(U_6529)
| v3_struct_0(U_6529) ),
inference(clausify,[status(thm)],[f_2492_3]) ).
cnf(f_2492_5,plain,
( k3_group_1(U_6529,k1_group_1(U_6529,U_6528,U_6527)) = k1_group_1(U_6529,k3_group_1(U_6529,U_6528),k3_group_1(U_6529,U_6527))
| k1_group_1(U_6529,U_6528,U_6527) != k1_group_1(U_6529,U_6527,U_6528)
| ~ sP1170(U_6529,U_6527,U_6528) ),
inference(clausify,[status(thm)],[f_2492_3]) ).
cnf(f_2492_6,plain,
( k1_group_1(U_6529,U_6528,U_6527) = k1_group_1(U_6529,U_6527,U_6528)
| k3_group_1(U_6529,k1_group_1(U_6529,U_6528,U_6527)) != k1_group_1(U_6529,k3_group_1(U_6529,U_6528),k3_group_1(U_6529,U_6527))
| ~ sP1170(U_6529,U_6527,U_6528) ),
inference(clausify,[status(thm)],[f_2492_3]) ).
fof(f_2493_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k1_group_1(A,B,C) = k1_group_1(A,C,B)
| k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) != k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) )
& ( k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B))
| k1_group_1(A,B,C) != k1_group_1(A,C,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t27_group_1]) ).
fof(f_2493_2,plain,
! [U_6532] :
( ! [U_6531] :
( ! [U_6530] :
( ( ( k1_group_1(U_6532,U_6531,U_6530) = k1_group_1(U_6532,U_6530,U_6531)
| k1_group_1(U_6532,k3_group_1(U_6532,U_6531),k3_group_1(U_6532,U_6530)) != k1_group_1(U_6532,k3_group_1(U_6532,U_6530),k3_group_1(U_6532,U_6531)) )
& ( k1_group_1(U_6532,k3_group_1(U_6532,U_6531),k3_group_1(U_6532,U_6530)) = k1_group_1(U_6532,k3_group_1(U_6532,U_6530),k3_group_1(U_6532,U_6531))
| k1_group_1(U_6532,U_6531,U_6530) != k1_group_1(U_6532,U_6530,U_6531) ) )
| ~ m1_subset_1(U_6530,u1_struct_0(U_6532)) )
| ~ m1_subset_1(U_6531,u1_struct_0(U_6532)) )
| ~ l1_group_1(U_6532)
| ~ v4_group_1(U_6532)
| ~ v3_group_1(U_6532)
| v3_struct_0(U_6532) ),
inference(variable_rename,[status(thm)],[f_2493_1]) ).
fof(f_2493_3,plain,
( ! [U_6532,U_6530,U_6531] :
( k1_group_1(U_6532,U_6531,U_6530) = k1_group_1(U_6532,U_6530,U_6531)
| k1_group_1(U_6532,k3_group_1(U_6532,U_6531),k3_group_1(U_6532,U_6530)) != k1_group_1(U_6532,k3_group_1(U_6532,U_6530),k3_group_1(U_6532,U_6531))
| ~ sP1171(U_6532,U_6530,U_6531) )
& ! [U_6532,U_6530,U_6531] :
( k1_group_1(U_6532,k3_group_1(U_6532,U_6531),k3_group_1(U_6532,U_6530)) = k1_group_1(U_6532,k3_group_1(U_6532,U_6530),k3_group_1(U_6532,U_6531))
| k1_group_1(U_6532,U_6531,U_6530) != k1_group_1(U_6532,U_6530,U_6531)
| ~ sP1171(U_6532,U_6530,U_6531) )
& ! [U_6532,U_6530,U_6531] :
( sP1171(U_6532,U_6530,U_6531)
| ~ m1_subset_1(U_6530,u1_struct_0(U_6532))
| ~ m1_subset_1(U_6531,u1_struct_0(U_6532))
| ~ l1_group_1(U_6532)
| ~ v4_group_1(U_6532)
| ~ v3_group_1(U_6532)
| v3_struct_0(U_6532) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1171])],[f_2493_2]) ).
cnf(f_2493_4,plain,
( sP1171(U_6532,U_6530,U_6531)
| ~ m1_subset_1(U_6530,u1_struct_0(U_6532))
| ~ m1_subset_1(U_6531,u1_struct_0(U_6532))
| ~ l1_group_1(U_6532)
| ~ v4_group_1(U_6532)
| ~ v3_group_1(U_6532)
| v3_struct_0(U_6532) ),
inference(clausify,[status(thm)],[f_2493_3]) ).
cnf(f_2493_5,plain,
( k1_group_1(U_6532,k3_group_1(U_6532,U_6531),k3_group_1(U_6532,U_6530)) = k1_group_1(U_6532,k3_group_1(U_6532,U_6530),k3_group_1(U_6532,U_6531))
| k1_group_1(U_6532,U_6531,U_6530) != k1_group_1(U_6532,U_6530,U_6531)
| ~ sP1171(U_6532,U_6530,U_6531) ),
inference(clausify,[status(thm)],[f_2493_3]) ).
cnf(f_2493_6,plain,
( k1_group_1(U_6532,U_6531,U_6530) = k1_group_1(U_6532,U_6530,U_6531)
| k1_group_1(U_6532,k3_group_1(U_6532,U_6531),k3_group_1(U_6532,U_6530)) != k1_group_1(U_6532,k3_group_1(U_6532,U_6530),k3_group_1(U_6532,U_6531))
| ~ sP1171(U_6532,U_6530,U_6531) ),
inference(clausify,[status(thm)],[f_2493_3]) ).
fof(f_2494_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k1_group_1(A,B,C) = k1_group_1(A,C,B)
| k1_group_1(A,B,k3_group_1(A,C)) != k1_group_1(A,k3_group_1(A,C),B) )
& ( k1_group_1(A,B,k3_group_1(A,C)) = k1_group_1(A,k3_group_1(A,C),B)
| k1_group_1(A,B,C) != k1_group_1(A,C,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_group_1]) ).
fof(f_2494_2,plain,
! [U_6535] :
( ! [U_6534] :
( ! [U_6533] :
( ( ( k1_group_1(U_6535,U_6534,U_6533) = k1_group_1(U_6535,U_6533,U_6534)
| k1_group_1(U_6535,U_6534,k3_group_1(U_6535,U_6533)) != k1_group_1(U_6535,k3_group_1(U_6535,U_6533),U_6534) )
& ( k1_group_1(U_6535,U_6534,k3_group_1(U_6535,U_6533)) = k1_group_1(U_6535,k3_group_1(U_6535,U_6533),U_6534)
| k1_group_1(U_6535,U_6534,U_6533) != k1_group_1(U_6535,U_6533,U_6534) ) )
| ~ m1_subset_1(U_6533,u1_struct_0(U_6535)) )
| ~ m1_subset_1(U_6534,u1_struct_0(U_6535)) )
| ~ l1_group_1(U_6535)
| ~ v4_group_1(U_6535)
| ~ v3_group_1(U_6535)
| v3_struct_0(U_6535) ),
inference(variable_rename,[status(thm)],[f_2494_1]) ).
fof(f_2494_3,plain,
( ! [U_6533,U_6535,U_6534] :
( k1_group_1(U_6535,U_6534,U_6533) = k1_group_1(U_6535,U_6533,U_6534)
| k1_group_1(U_6535,U_6534,k3_group_1(U_6535,U_6533)) != k1_group_1(U_6535,k3_group_1(U_6535,U_6533),U_6534)
| ~ sP1172(U_6533,U_6535,U_6534) )
& ! [U_6533,U_6535,U_6534] :
( k1_group_1(U_6535,U_6534,k3_group_1(U_6535,U_6533)) = k1_group_1(U_6535,k3_group_1(U_6535,U_6533),U_6534)
| k1_group_1(U_6535,U_6534,U_6533) != k1_group_1(U_6535,U_6533,U_6534)
| ~ sP1172(U_6533,U_6535,U_6534) )
& ! [U_6533,U_6535,U_6534] :
( sP1172(U_6533,U_6535,U_6534)
| ~ m1_subset_1(U_6533,u1_struct_0(U_6535))
| ~ m1_subset_1(U_6534,u1_struct_0(U_6535))
| ~ l1_group_1(U_6535)
| ~ v4_group_1(U_6535)
| ~ v3_group_1(U_6535)
| v3_struct_0(U_6535) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1172])],[f_2494_2]) ).
cnf(f_2494_4,plain,
( sP1172(U_6533,U_6535,U_6534)
| ~ m1_subset_1(U_6533,u1_struct_0(U_6535))
| ~ m1_subset_1(U_6534,u1_struct_0(U_6535))
| ~ l1_group_1(U_6535)
| ~ v4_group_1(U_6535)
| ~ v3_group_1(U_6535)
| v3_struct_0(U_6535) ),
inference(clausify,[status(thm)],[f_2494_3]) ).
cnf(f_2494_5,plain,
( k1_group_1(U_6535,U_6534,k3_group_1(U_6535,U_6533)) = k1_group_1(U_6535,k3_group_1(U_6535,U_6533),U_6534)
| k1_group_1(U_6535,U_6534,U_6533) != k1_group_1(U_6535,U_6533,U_6534)
| ~ sP1172(U_6533,U_6535,U_6534) ),
inference(clausify,[status(thm)],[f_2494_3]) ).
cnf(f_2494_6,plain,
( k1_group_1(U_6535,U_6534,U_6533) = k1_group_1(U_6535,U_6533,U_6534)
| k1_group_1(U_6535,U_6534,k3_group_1(U_6535,U_6533)) != k1_group_1(U_6535,k3_group_1(U_6535,U_6533),U_6534)
| ~ sP1172(U_6533,U_6535,U_6534) ),
inference(clausify,[status(thm)],[f_2494_3]) ).
fof(f_2495_1,plain,
! [A] :
( ! [B] :
( ( ( B = k4_group_1(A)
| ? [C] :
( k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) != k3_group_1(A,C)
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ! [C] :
( k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k3_group_1(A,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| B != k4_group_1(A) ) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d7_group_1]) ).
fof(f_2495_2,plain,
! [U_6539] :
( ! [U_6538] :
( ( ( U_6538 = k4_group_1(U_6539)
| ? [U_6537] :
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,U_6537) != k3_group_1(U_6539,U_6537)
& m1_subset_1(U_6537,u1_struct_0(U_6539)) ) )
& ( ! [U_6536] :
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,U_6536) = k3_group_1(U_6539,U_6536)
| ~ m1_subset_1(U_6536,u1_struct_0(U_6539)) )
| U_6538 != k4_group_1(U_6539) ) )
| ~ m2_relset_1(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_2(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_1(U_6538) )
| ~ l1_group_1(U_6539)
| ~ v4_group_1(U_6539)
| ~ v3_group_1(U_6539)
| v3_struct_0(U_6539) ),
inference(variable_rename,[status(thm)],[f_2495_1]) ).
fof(f_2495_3,plain,
! [U_6539] :
( ! [U_6538] :
( ( ( U_6538 = k4_group_1(U_6539)
| ( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,sK813(U_6539,U_6538)) != k3_group_1(U_6539,sK813(U_6539,U_6538))
& m1_subset_1(sK813(U_6539,U_6538),u1_struct_0(U_6539)) ) )
& ( ! [U_6536] :
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,U_6536) = k3_group_1(U_6539,U_6536)
| ~ m1_subset_1(U_6536,u1_struct_0(U_6539)) )
| U_6538 != k4_group_1(U_6539) ) )
| ~ m2_relset_1(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_2(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_1(U_6538) )
| ~ l1_group_1(U_6539)
| ~ v4_group_1(U_6539)
| ~ v3_group_1(U_6539)
| v3_struct_0(U_6539) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK813]),skolemize(U_6537,sK813(U_6539,U_6538))],[f_2495_2]) ).
fof(f_2495_4,plain,
( ! [U_6539,U_6538] :
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,sK813(U_6539,U_6538)) != k3_group_1(U_6539,sK813(U_6539,U_6538))
| ~ sP1173(U_6539,U_6538) )
& ! [U_6539,U_6538] :
( m1_subset_1(sK813(U_6539,U_6538),u1_struct_0(U_6539))
| ~ sP1173(U_6539,U_6538) )
& ! [U_6536,U_6539,U_6538] :
( U_6538 = k4_group_1(U_6539)
| sP1173(U_6539,U_6538)
| ~ sP1174(U_6536,U_6539,U_6538) )
& ! [U_6536,U_6539,U_6538] :
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,U_6536) = k3_group_1(U_6539,U_6536)
| ~ m1_subset_1(U_6536,u1_struct_0(U_6539))
| U_6538 != k4_group_1(U_6539)
| ~ sP1174(U_6536,U_6539,U_6538) )
& ! [U_6536,U_6539,U_6538] :
( sP1174(U_6536,U_6539,U_6538)
| ~ m2_relset_1(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_2(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_1(U_6538)
| ~ l1_group_1(U_6539)
| ~ v4_group_1(U_6539)
| ~ v3_group_1(U_6539)
| v3_struct_0(U_6539) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1173,sP1174])],[f_2495_3]) ).
cnf(f_2495_5,plain,
( sP1174(U_6536,U_6539,U_6538)
| ~ m2_relset_1(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_2(U_6538,u1_struct_0(U_6539),u1_struct_0(U_6539))
| ~ v1_funct_1(U_6538)
| ~ l1_group_1(U_6539)
| ~ v4_group_1(U_6539)
| ~ v3_group_1(U_6539)
| v3_struct_0(U_6539) ),
inference(clausify,[status(thm)],[f_2495_4]) ).
cnf(f_2495_6,plain,
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,U_6536) = k3_group_1(U_6539,U_6536)
| ~ m1_subset_1(U_6536,u1_struct_0(U_6539))
| U_6538 != k4_group_1(U_6539)
| ~ sP1174(U_6536,U_6539,U_6538) ),
inference(clausify,[status(thm)],[f_2495_4]) ).
cnf(f_2495_7,plain,
( U_6538 = k4_group_1(U_6539)
| sP1173(U_6539,U_6538)
| ~ sP1174(U_6536,U_6539,U_6538) ),
inference(clausify,[status(thm)],[f_2495_4]) ).
cnf(f_2495_8,plain,
( m1_subset_1(sK813(U_6539,U_6538),u1_struct_0(U_6539))
| ~ sP1173(U_6539,U_6538) ),
inference(clausify,[status(thm)],[f_2495_4]) ).
cnf(f_2495_9,plain,
( k8_funct_2(u1_struct_0(U_6539),u1_struct_0(U_6539),U_6538,sK813(U_6539,U_6538)) != k3_group_1(U_6539,sK813(U_6539,U_6538))
| ~ sP1173(U_6539,U_6538) ),
inference(clausify,[status(thm)],[f_2495_4]) ).
fof(f_2496_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_group_1]) ).
fof(f_2496_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2496_1]) ).
cnf(f_2496_3,plain,
$true,
inference(clausify,[status(thm)],[f_2496_2]) ).
fof(f_2497_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_group_1]) ).
fof(f_2497_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2497_1]) ).
cnf(f_2497_3,plain,
$true,
inference(clausify,[status(thm)],[f_2497_2]) ).
fof(f_2498_1,plain,
! [A] :
( v2_binop_1(u1_group_1(A),u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t31_group_1]) ).
fof(f_2498_2,plain,
! [U_6540] :
( v2_binop_1(u1_group_1(U_6540),u1_struct_0(U_6540))
| ~ l1_group_1(U_6540)
| ~ v4_group_1(U_6540)
| v3_struct_0(U_6540) ),
inference(variable_rename,[status(thm)],[f_2498_1]) ).
fof(f_2498_3,plain,
! [U_6540] :
( v2_binop_1(u1_group_1(U_6540),u1_struct_0(U_6540))
| ~ l1_group_1(U_6540)
| ~ v4_group_1(U_6540)
| v3_struct_0(U_6540) ),
inference(definitional_conversion,[status(esa)],[f_2498_2]) ).
cnf(f_2498_4,plain,
( v2_binop_1(u1_group_1(U_6540),u1_struct_0(U_6540))
| ~ l1_group_1(U_6540)
| ~ v4_group_1(U_6540)
| v3_struct_0(U_6540) ),
inference(clausify,[status(thm)],[f_2498_3]) ).
fof(f_2499_1,plain,
! [A] :
( r3_binop_1(u1_struct_0(A),k2_group_1(A),u1_group_1(A))
| ~ l1_group_1(A)
| ~ v2_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t32_group_1]) ).
fof(f_2499_2,plain,
! [U_6541] :
( r3_binop_1(u1_struct_0(U_6541),k2_group_1(U_6541),u1_group_1(U_6541))
| ~ l1_group_1(U_6541)
| ~ v2_group_1(U_6541)
| v3_struct_0(U_6541) ),
inference(variable_rename,[status(thm)],[f_2499_1]) ).
fof(f_2499_3,plain,
! [U_6541] :
( r3_binop_1(u1_struct_0(U_6541),k2_group_1(U_6541),u1_group_1(U_6541))
| ~ l1_group_1(U_6541)
| ~ v2_group_1(U_6541)
| v3_struct_0(U_6541) ),
inference(definitional_conversion,[status(esa)],[f_2499_2]) ).
cnf(f_2499_4,plain,
( r3_binop_1(u1_struct_0(U_6541),k2_group_1(U_6541),u1_group_1(U_6541))
| ~ l1_group_1(U_6541)
| ~ v2_group_1(U_6541)
| v3_struct_0(U_6541) ),
inference(clausify,[status(thm)],[f_2499_3]) ).
fof(f_2500_1,plain,
! [A] :
( k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k2_group_1(A)
| ~ l1_group_1(A)
| ~ v2_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_group_1]) ).
fof(f_2500_2,plain,
! [U_6542] :
( k3_binop_1(u1_struct_0(U_6542),u1_group_1(U_6542)) = k2_group_1(U_6542)
| ~ l1_group_1(U_6542)
| ~ v2_group_1(U_6542)
| v3_struct_0(U_6542) ),
inference(variable_rename,[status(thm)],[f_2500_1]) ).
fof(f_2500_3,plain,
! [U_6542] :
( k3_binop_1(u1_struct_0(U_6542),u1_group_1(U_6542)) = k2_group_1(U_6542)
| ~ l1_group_1(U_6542)
| ~ v2_group_1(U_6542)
| v3_struct_0(U_6542) ),
inference(definitional_conversion,[status(esa)],[f_2500_2]) ).
cnf(f_2500_4,plain,
( k3_binop_1(u1_struct_0(U_6542),u1_group_1(U_6542)) = k2_group_1(U_6542)
| ~ l1_group_1(U_6542)
| ~ v2_group_1(U_6542)
| v3_struct_0(U_6542) ),
inference(clausify,[status(thm)],[f_2500_3]) ).
fof(f_2501_1,plain,
! [A] :
( v1_setwiseo(u1_group_1(A),u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v2_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_group_1]) ).
fof(f_2501_2,plain,
! [U_6543] :
( v1_setwiseo(u1_group_1(U_6543),u1_struct_0(U_6543))
| ~ l1_group_1(U_6543)
| ~ v2_group_1(U_6543)
| v3_struct_0(U_6543) ),
inference(variable_rename,[status(thm)],[f_2501_1]) ).
fof(f_2501_3,plain,
! [U_6543] :
( v1_setwiseo(u1_group_1(U_6543),u1_struct_0(U_6543))
| ~ l1_group_1(U_6543)
| ~ v2_group_1(U_6543)
| v3_struct_0(U_6543) ),
inference(definitional_conversion,[status(esa)],[f_2501_2]) ).
cnf(f_2501_4,plain,
( v1_setwiseo(u1_group_1(U_6543),u1_struct_0(U_6543))
| ~ l1_group_1(U_6543)
| ~ v2_group_1(U_6543)
| v3_struct_0(U_6543) ),
inference(clausify,[status(thm)],[f_2501_3]) ).
fof(f_2502_1,plain,
! [A] :
( r1_finseqop(u1_struct_0(A),k4_group_1(A),u1_group_1(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_group_1]) ).
fof(f_2502_2,plain,
! [U_6544] :
( r1_finseqop(u1_struct_0(U_6544),k4_group_1(U_6544),u1_group_1(U_6544))
| ~ l1_group_1(U_6544)
| ~ v4_group_1(U_6544)
| ~ v3_group_1(U_6544)
| v3_struct_0(U_6544) ),
inference(variable_rename,[status(thm)],[f_2502_1]) ).
fof(f_2502_3,plain,
! [U_6544] :
( r1_finseqop(u1_struct_0(U_6544),k4_group_1(U_6544),u1_group_1(U_6544))
| ~ l1_group_1(U_6544)
| ~ v4_group_1(U_6544)
| ~ v3_group_1(U_6544)
| v3_struct_0(U_6544) ),
inference(definitional_conversion,[status(esa)],[f_2502_2]) ).
cnf(f_2502_4,plain,
( r1_finseqop(u1_struct_0(U_6544),k4_group_1(U_6544),u1_group_1(U_6544))
| ~ l1_group_1(U_6544)
| ~ v4_group_1(U_6544)
| ~ v3_group_1(U_6544)
| v3_struct_0(U_6544) ),
inference(clausify,[status(thm)],[f_2502_3]) ).
fof(f_2503_1,plain,
! [A] :
( v1_finseqop(u1_group_1(A),u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_group_1]) ).
fof(f_2503_2,plain,
! [U_6545] :
( v1_finseqop(u1_group_1(U_6545),u1_struct_0(U_6545))
| ~ l1_group_1(U_6545)
| ~ v4_group_1(U_6545)
| ~ v3_group_1(U_6545)
| v3_struct_0(U_6545) ),
inference(variable_rename,[status(thm)],[f_2503_1]) ).
fof(f_2503_3,plain,
! [U_6545] :
( v1_finseqop(u1_group_1(U_6545),u1_struct_0(U_6545))
| ~ l1_group_1(U_6545)
| ~ v4_group_1(U_6545)
| ~ v3_group_1(U_6545)
| v3_struct_0(U_6545) ),
inference(definitional_conversion,[status(esa)],[f_2503_2]) ).
cnf(f_2503_4,plain,
( v1_finseqop(u1_group_1(U_6545),u1_struct_0(U_6545))
| ~ l1_group_1(U_6545)
| ~ v4_group_1(U_6545)
| ~ v3_group_1(U_6545)
| v3_struct_0(U_6545) ),
inference(clausify,[status(thm)],[f_2503_3]) ).
fof(f_2504_1,plain,
! [A] :
( k6_finseqop(u1_struct_0(A),u1_group_1(A)) = k4_group_1(A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_group_1]) ).
fof(f_2504_2,plain,
! [U_6546] :
( k6_finseqop(u1_struct_0(U_6546),u1_group_1(U_6546)) = k4_group_1(U_6546)
| ~ l1_group_1(U_6546)
| ~ v4_group_1(U_6546)
| ~ v3_group_1(U_6546)
| v3_struct_0(U_6546) ),
inference(variable_rename,[status(thm)],[f_2504_1]) ).
fof(f_2504_3,plain,
! [U_6546] :
( k6_finseqop(u1_struct_0(U_6546),u1_group_1(U_6546)) = k4_group_1(U_6546)
| ~ l1_group_1(U_6546)
| ~ v4_group_1(U_6546)
| ~ v3_group_1(U_6546)
| v3_struct_0(U_6546) ),
inference(definitional_conversion,[status(esa)],[f_2504_2]) ).
cnf(f_2504_4,plain,
( k6_finseqop(u1_struct_0(U_6546),u1_group_1(U_6546)) = k4_group_1(U_6546)
| ~ l1_group_1(U_6546)
| ~ v4_group_1(U_6546)
| ~ v3_group_1(U_6546)
| v3_struct_0(U_6546) ),
inference(clausify,[status(thm)],[f_2504_3]) ).
fof(f_2505_1,plain,
! [A] :
( ! [B] :
( ( ( B = k5_group_1(A)
| ? [C] :
( ( ? [D] :
( k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,k1_nat_1(D,np__1)) != k1_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,D),C)
& m2_subset_1(D,k1_numbers,k5_numbers) )
| k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0) != k2_group_1(A) )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ! [C] :
( ( ! [D] :
( k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,k1_nat_1(D,np__1)) = k1_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,D),C)
| ~ m2_subset_1(D,k1_numbers,k5_numbers) )
& k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0) = k2_group_1(A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| B != k5_group_1(A) ) )
| ~ m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
| ~ v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
| ~ v1_funct_1(B) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d8_group_1]) ).
fof(f_2505_2,plain,
! [U_6552] :
( ! [U_6551] :
( ( ( U_6551 = k5_group_1(U_6552)
| ? [U_6550] :
( ( ? [U_6549] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6550,k1_nat_1(U_6549,np__1)) != k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6550,U_6549),U_6550)
& m2_subset_1(U_6549,k1_numbers,k5_numbers) )
| k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6550,np__0) != k2_group_1(U_6552) )
& m1_subset_1(U_6550,u1_struct_0(U_6552)) ) )
& ( ! [U_6548] :
( ( ! [U_6547] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,k1_nat_1(U_6547,np__1)) = k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,U_6547),U_6548)
| ~ m2_subset_1(U_6547,k1_numbers,k5_numbers) )
& k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,np__0) = k2_group_1(U_6552) )
| ~ m1_subset_1(U_6548,u1_struct_0(U_6552)) )
| U_6551 != k5_group_1(U_6552) ) )
| ~ m2_relset_1(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_2(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_1(U_6551) )
| ~ l1_group_1(U_6552)
| v3_struct_0(U_6552) ),
inference(variable_rename,[status(thm)],[f_2505_1]) ).
fof(f_2505_3,plain,
! [U_6552] :
( ! [U_6551] :
( ( ( U_6551 = k5_group_1(U_6552)
| ( ( ? [U_6549] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),k1_nat_1(U_6549,np__1)) != k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),U_6549),sK814(U_6552,U_6551))
& m2_subset_1(U_6549,k1_numbers,k5_numbers) )
| k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),np__0) != k2_group_1(U_6552) )
& m1_subset_1(sK814(U_6552,U_6551),u1_struct_0(U_6552)) ) )
& ( ! [U_6548] :
( ( ! [U_6547] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,k1_nat_1(U_6547,np__1)) = k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,U_6547),U_6548)
| ~ m2_subset_1(U_6547,k1_numbers,k5_numbers) )
& k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,np__0) = k2_group_1(U_6552) )
| ~ m1_subset_1(U_6548,u1_struct_0(U_6552)) )
| U_6551 != k5_group_1(U_6552) ) )
| ~ m2_relset_1(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_2(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_1(U_6551) )
| ~ l1_group_1(U_6552)
| v3_struct_0(U_6552) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK814]),skolemize(U_6550,sK814(U_6552,U_6551))],[f_2505_2]) ).
fof(f_2505_4,plain,
! [U_6552] :
( ! [U_6551] :
( ( ( U_6551 = k5_group_1(U_6552)
| ( ( ( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),k1_nat_1(sK815(U_6552,U_6551),np__1)) != k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),sK815(U_6552,U_6551)),sK814(U_6552,U_6551))
& m2_subset_1(sK815(U_6552,U_6551),k1_numbers,k5_numbers) )
| k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),np__0) != k2_group_1(U_6552) )
& m1_subset_1(sK814(U_6552,U_6551),u1_struct_0(U_6552)) ) )
& ( ! [U_6548] :
( ( ! [U_6547] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,k1_nat_1(U_6547,np__1)) = k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,U_6547),U_6548)
| ~ m2_subset_1(U_6547,k1_numbers,k5_numbers) )
& k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,np__0) = k2_group_1(U_6552) )
| ~ m1_subset_1(U_6548,u1_struct_0(U_6552)) )
| U_6551 != k5_group_1(U_6552) ) )
| ~ m2_relset_1(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_2(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_1(U_6551) )
| ~ l1_group_1(U_6552)
| v3_struct_0(U_6552) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK815]),skolemize(U_6549,sK815(U_6552,U_6551))],[f_2505_3]) ).
fof(f_2505_5,plain,
( ! [U_6551,U_6552] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),k1_nat_1(sK815(U_6552,U_6551),np__1)) != k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),sK815(U_6552,U_6551)),sK814(U_6552,U_6551))
| ~ sP1176(U_6551,U_6552) )
& ! [U_6551,U_6552] :
( m2_subset_1(sK815(U_6552,U_6551),k1_numbers,k5_numbers)
| ~ sP1176(U_6551,U_6552) )
& ! [U_6551,U_6552] :
( sP1176(U_6551,U_6552)
| k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),np__0) != k2_group_1(U_6552)
| ~ sP1177(U_6551,U_6552) )
& ! [U_6551,U_6552] :
( m1_subset_1(sK814(U_6552,U_6551),u1_struct_0(U_6552))
| ~ sP1177(U_6551,U_6552) )
& ! [U_6547,U_6548,U_6551,U_6552] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,k1_nat_1(U_6547,np__1)) = k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,U_6547),U_6548)
| ~ m2_subset_1(U_6547,k1_numbers,k5_numbers)
| ~ sP1175(U_6547,U_6548,U_6551,U_6552) )
& ! [U_6547,U_6548,U_6551,U_6552] :
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,np__0) = k2_group_1(U_6552)
| ~ sP1175(U_6547,U_6548,U_6551,U_6552) )
& ! [U_6547,U_6548,U_6551,U_6552] :
( U_6551 = k5_group_1(U_6552)
| sP1177(U_6551,U_6552)
| ~ sP1178(U_6547,U_6548,U_6551,U_6552) )
& ! [U_6547,U_6548,U_6551,U_6552] :
( sP1175(U_6547,U_6548,U_6551,U_6552)
| ~ m1_subset_1(U_6548,u1_struct_0(U_6552))
| U_6551 != k5_group_1(U_6552)
| ~ sP1178(U_6547,U_6548,U_6551,U_6552) )
& ! [U_6547,U_6548,U_6551,U_6552] :
( sP1178(U_6547,U_6548,U_6551,U_6552)
| ~ m2_relset_1(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_2(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_1(U_6551)
| ~ l1_group_1(U_6552)
| v3_struct_0(U_6552) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1175,sP1176,sP1177,sP1178])],[f_2505_4]) ).
cnf(f_2505_6,plain,
( sP1178(U_6547,U_6548,U_6551,U_6552)
| ~ m2_relset_1(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_2(U_6551,k2_zfmisc_1(u1_struct_0(U_6552),k5_numbers),u1_struct_0(U_6552))
| ~ v1_funct_1(U_6551)
| ~ l1_group_1(U_6552)
| v3_struct_0(U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_7,plain,
( sP1175(U_6547,U_6548,U_6551,U_6552)
| ~ m1_subset_1(U_6548,u1_struct_0(U_6552))
| U_6551 != k5_group_1(U_6552)
| ~ sP1178(U_6547,U_6548,U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_8,plain,
( U_6551 = k5_group_1(U_6552)
| sP1177(U_6551,U_6552)
| ~ sP1178(U_6547,U_6548,U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_9,plain,
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,np__0) = k2_group_1(U_6552)
| ~ sP1175(U_6547,U_6548,U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_10,plain,
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,k1_nat_1(U_6547,np__1)) = k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,U_6548,U_6547),U_6548)
| ~ m2_subset_1(U_6547,k1_numbers,k5_numbers)
| ~ sP1175(U_6547,U_6548,U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_11,plain,
( m1_subset_1(sK814(U_6552,U_6551),u1_struct_0(U_6552))
| ~ sP1177(U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_12,plain,
( sP1176(U_6551,U_6552)
| k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),np__0) != k2_group_1(U_6552)
| ~ sP1177(U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_13,plain,
( m2_subset_1(sK815(U_6552,U_6551),k1_numbers,k5_numbers)
| ~ sP1176(U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
cnf(f_2505_14,plain,
( k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),k1_nat_1(sK815(U_6552,U_6551),np__1)) != k1_group_1(U_6552,k2_binop_1(u1_struct_0(U_6552),k5_numbers,u1_struct_0(U_6552),U_6551,sK814(U_6552,U_6551),sK815(U_6552,U_6551)),sK814(U_6552,U_6551))
| ~ sP1176(U_6551,U_6552) ),
inference(clausify,[status(thm)],[f_2505_5]) ).
fof(f_2506_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k6_group_1(A,B,C) = k3_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B)))
| r1_xreal_0(np__0,B) )
& ( k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))
| ~ r1_xreal_0(np__0,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v1_int_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_group_1]) ).
fof(f_2506_2,plain,
! [U_6555] :
( ! [U_6554] :
( ! [U_6553] :
( ( ( k6_group_1(U_6555,U_6554,U_6553) = k3_group_1(U_6555,k2_binop_1(u1_struct_0(U_6555),k5_numbers,u1_struct_0(U_6555),k5_group_1(U_6555),U_6553,k1_int_2(U_6554)))
| r1_xreal_0(np__0,U_6554) )
& ( k6_group_1(U_6555,U_6554,U_6553) = k2_binop_1(u1_struct_0(U_6555),k5_numbers,u1_struct_0(U_6555),k5_group_1(U_6555),U_6553,k1_int_2(U_6554))
| ~ r1_xreal_0(np__0,U_6554) ) )
| ~ m1_subset_1(U_6553,u1_struct_0(U_6555)) )
| ~ v1_int_1(U_6554) )
| ~ l1_group_1(U_6555)
| ~ v4_group_1(U_6555)
| ~ v3_group_1(U_6555)
| v3_struct_0(U_6555) ),
inference(variable_rename,[status(thm)],[f_2506_1]) ).
fof(f_2506_3,plain,
( ! [U_6553,U_6554,U_6555] :
( k6_group_1(U_6555,U_6554,U_6553) = k3_group_1(U_6555,k2_binop_1(u1_struct_0(U_6555),k5_numbers,u1_struct_0(U_6555),k5_group_1(U_6555),U_6553,k1_int_2(U_6554)))
| r1_xreal_0(np__0,U_6554)
| ~ sP1179(U_6553,U_6554,U_6555) )
& ! [U_6553,U_6554,U_6555] :
( k6_group_1(U_6555,U_6554,U_6553) = k2_binop_1(u1_struct_0(U_6555),k5_numbers,u1_struct_0(U_6555),k5_group_1(U_6555),U_6553,k1_int_2(U_6554))
| ~ r1_xreal_0(np__0,U_6554)
| ~ sP1179(U_6553,U_6554,U_6555) )
& ! [U_6553,U_6554,U_6555] :
( sP1179(U_6553,U_6554,U_6555)
| ~ m1_subset_1(U_6553,u1_struct_0(U_6555))
| ~ v1_int_1(U_6554)
| ~ l1_group_1(U_6555)
| ~ v4_group_1(U_6555)
| ~ v3_group_1(U_6555)
| v3_struct_0(U_6555) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1179])],[f_2506_2]) ).
cnf(f_2506_4,plain,
( sP1179(U_6553,U_6554,U_6555)
| ~ m1_subset_1(U_6553,u1_struct_0(U_6555))
| ~ v1_int_1(U_6554)
| ~ l1_group_1(U_6555)
| ~ v4_group_1(U_6555)
| ~ v3_group_1(U_6555)
| v3_struct_0(U_6555) ),
inference(clausify,[status(thm)],[f_2506_3]) ).
cnf(f_2506_5,plain,
( k6_group_1(U_6555,U_6554,U_6553) = k2_binop_1(u1_struct_0(U_6555),k5_numbers,u1_struct_0(U_6555),k5_group_1(U_6555),U_6553,k1_int_2(U_6554))
| ~ r1_xreal_0(np__0,U_6554)
| ~ sP1179(U_6553,U_6554,U_6555) ),
inference(clausify,[status(thm)],[f_2506_3]) ).
cnf(f_2506_6,plain,
( k6_group_1(U_6555,U_6554,U_6553) = k3_group_1(U_6555,k2_binop_1(u1_struct_0(U_6555),k5_numbers,u1_struct_0(U_6555),k5_group_1(U_6555),U_6553,k1_int_2(U_6554)))
| r1_xreal_0(np__0,U_6554)
| ~ sP1179(U_6553,U_6554,U_6555) ),
inference(clausify,[status(thm)],[f_2506_3]) ).
fof(f_2507_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d10_group_1]) ).
fof(f_2507_2,plain,
! [U_6558] :
( ! [U_6557] :
( ! [U_6556] :
( k6_group_1(U_6558,U_6557,U_6556) = k2_binop_1(u1_struct_0(U_6558),k5_numbers,u1_struct_0(U_6558),k5_group_1(U_6558),U_6556,U_6557)
| ~ m1_subset_1(U_6556,u1_struct_0(U_6558)) )
| ~ m2_subset_1(U_6557,k1_numbers,k5_numbers) )
| ~ l1_group_1(U_6558)
| ~ v4_group_1(U_6558)
| ~ v3_group_1(U_6558)
| v3_struct_0(U_6558) ),
inference(variable_rename,[status(thm)],[f_2507_1]) ).
fof(f_2507_3,plain,
! [U_6558,U_6556,U_6557] :
( k6_group_1(U_6558,U_6557,U_6556) = k2_binop_1(u1_struct_0(U_6558),k5_numbers,u1_struct_0(U_6558),k5_group_1(U_6558),U_6556,U_6557)
| ~ m1_subset_1(U_6556,u1_struct_0(U_6558))
| ~ m2_subset_1(U_6557,k1_numbers,k5_numbers)
| ~ l1_group_1(U_6558)
| ~ v4_group_1(U_6558)
| ~ v3_group_1(U_6558)
| v3_struct_0(U_6558) ),
inference(definitional_conversion,[status(esa)],[f_2507_2]) ).
cnf(f_2507_4,plain,
( k6_group_1(U_6558,U_6557,U_6556) = k2_binop_1(u1_struct_0(U_6558),k5_numbers,u1_struct_0(U_6558),k5_group_1(U_6558),U_6556,U_6557)
| ~ m1_subset_1(U_6556,u1_struct_0(U_6558))
| ~ m2_subset_1(U_6557,k1_numbers,k5_numbers)
| ~ l1_group_1(U_6558)
| ~ v4_group_1(U_6558)
| ~ v3_group_1(U_6558)
| v3_struct_0(U_6558) ),
inference(clausify,[status(thm)],[f_2507_3]) ).
fof(f_2508_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t38_group_1]) ).
fof(f_2508_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2508_1]) ).
cnf(f_2508_3,plain,
$true,
inference(clausify,[status(thm)],[f_2508_2]) ).
fof(f_2509_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_group_1]) ).
fof(f_2509_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2509_1]) ).
cnf(f_2509_3,plain,
$true,
inference(clausify,[status(thm)],[f_2509_2]) ).
fof(f_2510_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t40_group_1]) ).
fof(f_2510_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2510_1]) ).
cnf(f_2510_3,plain,
$true,
inference(clausify,[status(thm)],[f_2510_2]) ).
fof(f_2511_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t41_group_1]) ).
fof(f_2511_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2511_1]) ).
cnf(f_2511_3,plain,
$true,
inference(clausify,[status(thm)],[f_2511_2]) ).
fof(f_2512_1,plain,
! [A] :
( ! [B] :
( k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B)
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t42_group_1]) ).
fof(f_2512_2,plain,
! [U_6560] :
( ! [U_6559] :
( k6_group_1(U_6559,U_6560,k2_group_1(U_6559)) = k2_group_1(U_6559)
| ~ l1_group_1(U_6559)
| ~ v4_group_1(U_6559)
| ~ v3_group_1(U_6559)
| v3_struct_0(U_6559) )
| ~ m2_subset_1(U_6560,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2512_1]) ).
fof(f_2512_3,plain,
! [U_6559,U_6560] :
( k6_group_1(U_6559,U_6560,k2_group_1(U_6559)) = k2_group_1(U_6559)
| ~ l1_group_1(U_6559)
| ~ v4_group_1(U_6559)
| ~ v3_group_1(U_6559)
| v3_struct_0(U_6559)
| ~ m2_subset_1(U_6560,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2512_2]) ).
cnf(f_2512_4,plain,
( k6_group_1(U_6559,U_6560,k2_group_1(U_6559)) = k2_group_1(U_6559)
| ~ l1_group_1(U_6559)
| ~ v4_group_1(U_6559)
| ~ v3_group_1(U_6559)
| v3_struct_0(U_6559)
| ~ m2_subset_1(U_6560,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2512_3]) ).
fof(f_2513_1,plain,
! [A] :
( ! [B] :
( k6_group_1(A,np__0,B) = k2_group_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_group_1]) ).
fof(f_2513_2,plain,
! [U_6562] :
( ! [U_6561] :
( k6_group_1(U_6562,np__0,U_6561) = k2_group_1(U_6562)
| ~ m1_subset_1(U_6561,u1_struct_0(U_6562)) )
| ~ l1_group_1(U_6562)
| ~ v4_group_1(U_6562)
| ~ v3_group_1(U_6562)
| v3_struct_0(U_6562) ),
inference(variable_rename,[status(thm)],[f_2513_1]) ).
fof(f_2513_3,plain,
! [U_6561,U_6562] :
( k6_group_1(U_6562,np__0,U_6561) = k2_group_1(U_6562)
| ~ m1_subset_1(U_6561,u1_struct_0(U_6562))
| ~ l1_group_1(U_6562)
| ~ v4_group_1(U_6562)
| ~ v3_group_1(U_6562)
| v3_struct_0(U_6562) ),
inference(definitional_conversion,[status(esa)],[f_2513_2]) ).
cnf(f_2513_4,plain,
( k6_group_1(U_6562,np__0,U_6561) = k2_group_1(U_6562)
| ~ m1_subset_1(U_6561,u1_struct_0(U_6562))
| ~ l1_group_1(U_6562)
| ~ v4_group_1(U_6562)
| ~ v3_group_1(U_6562)
| v3_struct_0(U_6562) ),
inference(clausify,[status(thm)],[f_2513_3]) ).
fof(f_2514_1,plain,
! [A] :
( ! [B] :
( k6_group_1(A,np__1,B) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t44_group_1]) ).
fof(f_2514_2,plain,
! [U_6564] :
( ! [U_6563] :
( k6_group_1(U_6564,np__1,U_6563) = U_6563
| ~ m1_subset_1(U_6563,u1_struct_0(U_6564)) )
| ~ l1_group_1(U_6564)
| ~ v4_group_1(U_6564)
| ~ v3_group_1(U_6564)
| v3_struct_0(U_6564) ),
inference(variable_rename,[status(thm)],[f_2514_1]) ).
fof(f_2514_3,plain,
! [U_6563,U_6564] :
( k6_group_1(U_6564,np__1,U_6563) = U_6563
| ~ m1_subset_1(U_6563,u1_struct_0(U_6564))
| ~ l1_group_1(U_6564)
| ~ v4_group_1(U_6564)
| ~ v3_group_1(U_6564)
| v3_struct_0(U_6564) ),
inference(definitional_conversion,[status(esa)],[f_2514_2]) ).
cnf(f_2514_4,plain,
( k6_group_1(U_6564,np__1,U_6563) = U_6563
| ~ m1_subset_1(U_6563,u1_struct_0(U_6564))
| ~ l1_group_1(U_6564)
| ~ v4_group_1(U_6564)
| ~ v3_group_1(U_6564)
| v3_struct_0(U_6564) ),
inference(clausify,[status(thm)],[f_2514_3]) ).
fof(f_2515_1,plain,
! [A] :
( ! [B] :
( k6_group_1(A,np__2,B) = k1_group_1(A,B,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t45_group_1]) ).
fof(f_2515_2,plain,
! [U_6566] :
( ! [U_6565] :
( k6_group_1(U_6566,np__2,U_6565) = k1_group_1(U_6566,U_6565,U_6565)
| ~ m1_subset_1(U_6565,u1_struct_0(U_6566)) )
| ~ l1_group_1(U_6566)
| ~ v4_group_1(U_6566)
| ~ v3_group_1(U_6566)
| v3_struct_0(U_6566) ),
inference(variable_rename,[status(thm)],[f_2515_1]) ).
fof(f_2515_3,plain,
! [U_6566,U_6565] :
( k6_group_1(U_6566,np__2,U_6565) = k1_group_1(U_6566,U_6565,U_6565)
| ~ m1_subset_1(U_6565,u1_struct_0(U_6566))
| ~ l1_group_1(U_6566)
| ~ v4_group_1(U_6566)
| ~ v3_group_1(U_6566)
| v3_struct_0(U_6566) ),
inference(definitional_conversion,[status(esa)],[f_2515_2]) ).
cnf(f_2515_4,plain,
( k6_group_1(U_6566,np__2,U_6565) = k1_group_1(U_6566,U_6565,U_6565)
| ~ m1_subset_1(U_6565,u1_struct_0(U_6566))
| ~ l1_group_1(U_6566)
| ~ v4_group_1(U_6566)
| ~ v3_group_1(U_6566)
| v3_struct_0(U_6566) ),
inference(clausify,[status(thm)],[f_2515_3]) ).
fof(f_2516_1,plain,
! [A] :
( ! [B] :
( k6_group_1(A,np__3,B) = k1_group_1(A,k1_group_1(A,B,B),B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t46_group_1]) ).
fof(f_2516_2,plain,
! [U_6568] :
( ! [U_6567] :
( k6_group_1(U_6568,np__3,U_6567) = k1_group_1(U_6568,k1_group_1(U_6568,U_6567,U_6567),U_6567)
| ~ m1_subset_1(U_6567,u1_struct_0(U_6568)) )
| ~ l1_group_1(U_6568)
| ~ v4_group_1(U_6568)
| ~ v3_group_1(U_6568)
| v3_struct_0(U_6568) ),
inference(variable_rename,[status(thm)],[f_2516_1]) ).
fof(f_2516_3,plain,
! [U_6568,U_6567] :
( k6_group_1(U_6568,np__3,U_6567) = k1_group_1(U_6568,k1_group_1(U_6568,U_6567,U_6567),U_6567)
| ~ m1_subset_1(U_6567,u1_struct_0(U_6568))
| ~ l1_group_1(U_6568)
| ~ v4_group_1(U_6568)
| ~ v3_group_1(U_6568)
| v3_struct_0(U_6568) ),
inference(definitional_conversion,[status(esa)],[f_2516_2]) ).
cnf(f_2516_4,plain,
( k6_group_1(U_6568,np__3,U_6567) = k1_group_1(U_6568,k1_group_1(U_6568,U_6567,U_6567),U_6567)
| ~ m1_subset_1(U_6567,u1_struct_0(U_6568))
| ~ l1_group_1(U_6568)
| ~ v4_group_1(U_6568)
| ~ v3_group_1(U_6568)
| v3_struct_0(U_6568) ),
inference(clausify,[status(thm)],[f_2516_3]) ).
fof(f_2517_1,plain,
! [A] :
( ! [B] :
( ( ( k6_group_1(A,np__2,B) = k2_group_1(A)
| k3_group_1(A,B) != B )
& ( k3_group_1(A,B) = B
| k6_group_1(A,np__2,B) != k2_group_1(A) ) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_group_1]) ).
fof(f_2517_2,plain,
! [U_6570] :
( ! [U_6569] :
( ( ( k6_group_1(U_6570,np__2,U_6569) = k2_group_1(U_6570)
| k3_group_1(U_6570,U_6569) != U_6569 )
& ( k3_group_1(U_6570,U_6569) = U_6569
| k6_group_1(U_6570,np__2,U_6569) != k2_group_1(U_6570) ) )
| ~ m1_subset_1(U_6569,u1_struct_0(U_6570)) )
| ~ l1_group_1(U_6570)
| ~ v4_group_1(U_6570)
| ~ v3_group_1(U_6570)
| v3_struct_0(U_6570) ),
inference(variable_rename,[status(thm)],[f_2517_1]) ).
fof(f_2517_3,plain,
( ! [U_6570,U_6569] :
( k6_group_1(U_6570,np__2,U_6569) = k2_group_1(U_6570)
| k3_group_1(U_6570,U_6569) != U_6569
| ~ sP1180(U_6570,U_6569) )
& ! [U_6570,U_6569] :
( k3_group_1(U_6570,U_6569) = U_6569
| k6_group_1(U_6570,np__2,U_6569) != k2_group_1(U_6570)
| ~ sP1180(U_6570,U_6569) )
& ! [U_6570,U_6569] :
( sP1180(U_6570,U_6569)
| ~ m1_subset_1(U_6569,u1_struct_0(U_6570))
| ~ l1_group_1(U_6570)
| ~ v4_group_1(U_6570)
| ~ v3_group_1(U_6570)
| v3_struct_0(U_6570) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1180])],[f_2517_2]) ).
cnf(f_2517_4,plain,
( sP1180(U_6570,U_6569)
| ~ m1_subset_1(U_6569,u1_struct_0(U_6570))
| ~ l1_group_1(U_6570)
| ~ v4_group_1(U_6570)
| ~ v3_group_1(U_6570)
| v3_struct_0(U_6570) ),
inference(clausify,[status(thm)],[f_2517_3]) ).
cnf(f_2517_5,plain,
( k3_group_1(U_6570,U_6569) = U_6569
| k6_group_1(U_6570,np__2,U_6569) != k2_group_1(U_6570)
| ~ sP1180(U_6570,U_6569) ),
inference(clausify,[status(thm)],[f_2517_3]) ).
cnf(f_2517_6,plain,
( k6_group_1(U_6570,np__2,U_6569) = k2_group_1(U_6570)
| k3_group_1(U_6570,U_6569) != U_6569
| ~ sP1180(U_6570,U_6569) ),
inference(clausify,[status(thm)],[f_2517_3]) ).
fof(f_2518_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k1_nat_1(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t48_group_1]) ).
fof(f_2518_2,plain,
! [U_6574] :
( ! [U_6573] :
( ! [U_6572] :
( ! [U_6571] :
( k6_group_1(U_6572,k1_nat_1(U_6574,U_6573),U_6571) = k1_group_1(U_6572,k6_group_1(U_6572,U_6574,U_6571),k6_group_1(U_6572,U_6573,U_6571))
| ~ m1_subset_1(U_6571,u1_struct_0(U_6572)) )
| ~ l1_group_1(U_6572)
| ~ v4_group_1(U_6572)
| ~ v3_group_1(U_6572)
| v3_struct_0(U_6572) )
| ~ m2_subset_1(U_6573,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_6574,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2518_1]) ).
fof(f_2518_3,plain,
! [U_6573,U_6571,U_6574,U_6572] :
( k6_group_1(U_6572,k1_nat_1(U_6574,U_6573),U_6571) = k1_group_1(U_6572,k6_group_1(U_6572,U_6574,U_6571),k6_group_1(U_6572,U_6573,U_6571))
| ~ m1_subset_1(U_6571,u1_struct_0(U_6572))
| ~ l1_group_1(U_6572)
| ~ v4_group_1(U_6572)
| ~ v3_group_1(U_6572)
| v3_struct_0(U_6572)
| ~ m2_subset_1(U_6573,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_6574,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2518_2]) ).
cnf(f_2518_4,plain,
( k6_group_1(U_6572,k1_nat_1(U_6574,U_6573),U_6571) = k1_group_1(U_6572,k6_group_1(U_6572,U_6574,U_6571),k6_group_1(U_6572,U_6573,U_6571))
| ~ m1_subset_1(U_6571,u1_struct_0(U_6572))
| ~ l1_group_1(U_6572)
| ~ v4_group_1(U_6572)
| ~ v3_group_1(U_6572)
| v3_struct_0(U_6572)
| ~ m2_subset_1(U_6573,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_6574,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2518_3]) ).
fof(f_2519_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C))
& k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t49_group_1]) ).
fof(f_2519_2,plain,
! [U_6577] :
( ! [U_6576] :
( ! [U_6575] :
( ( k6_group_1(U_6576,k1_nat_1(U_6577,np__1),U_6575) = k1_group_1(U_6576,U_6575,k6_group_1(U_6576,U_6577,U_6575))
& k6_group_1(U_6576,k1_nat_1(U_6577,np__1),U_6575) = k1_group_1(U_6576,k6_group_1(U_6576,U_6577,U_6575),U_6575) )
| ~ m1_subset_1(U_6575,u1_struct_0(U_6576)) )
| ~ l1_group_1(U_6576)
| ~ v4_group_1(U_6576)
| ~ v3_group_1(U_6576)
| v3_struct_0(U_6576) )
| ~ m2_subset_1(U_6577,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2519_1]) ).
fof(f_2519_3,plain,
( ! [U_6575,U_6577,U_6576] :
( k6_group_1(U_6576,k1_nat_1(U_6577,np__1),U_6575) = k1_group_1(U_6576,U_6575,k6_group_1(U_6576,U_6577,U_6575))
| ~ sP1181(U_6575,U_6577,U_6576) )
& ! [U_6575,U_6577,U_6576] :
( k6_group_1(U_6576,k1_nat_1(U_6577,np__1),U_6575) = k1_group_1(U_6576,k6_group_1(U_6576,U_6577,U_6575),U_6575)
| ~ sP1181(U_6575,U_6577,U_6576) )
& ! [U_6575,U_6577,U_6576] :
( sP1181(U_6575,U_6577,U_6576)
| ~ m1_subset_1(U_6575,u1_struct_0(U_6576))
| ~ l1_group_1(U_6576)
| ~ v4_group_1(U_6576)
| ~ v3_group_1(U_6576)
| v3_struct_0(U_6576)
| ~ m2_subset_1(U_6577,k1_numbers,k5_numbers) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1181])],[f_2519_2]) ).
cnf(f_2519_4,plain,
( sP1181(U_6575,U_6577,U_6576)
| ~ m1_subset_1(U_6575,u1_struct_0(U_6576))
| ~ l1_group_1(U_6576)
| ~ v4_group_1(U_6576)
| ~ v3_group_1(U_6576)
| v3_struct_0(U_6576)
| ~ m2_subset_1(U_6577,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2519_3]) ).
cnf(f_2519_5,plain,
( k6_group_1(U_6576,k1_nat_1(U_6577,np__1),U_6575) = k1_group_1(U_6576,k6_group_1(U_6576,U_6577,U_6575),U_6575)
| ~ sP1181(U_6575,U_6577,U_6576) ),
inference(clausify,[status(thm)],[f_2519_3]) ).
cnf(f_2519_6,plain,
( k6_group_1(U_6576,k1_nat_1(U_6577,np__1),U_6575) = k1_group_1(U_6576,U_6575,k6_group_1(U_6576,U_6577,U_6575))
| ~ sP1181(U_6575,U_6577,U_6576) ),
inference(clausify,[status(thm)],[f_2519_3]) ).
fof(f_2520_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k2_nat_1(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t50_group_1]) ).
fof(f_2520_2,plain,
! [U_6581] :
( ! [U_6580] :
( ! [U_6579] :
( ! [U_6578] :
( k6_group_1(U_6579,k2_nat_1(U_6581,U_6580),U_6578) = k6_group_1(U_6579,U_6580,k6_group_1(U_6579,U_6581,U_6578))
| ~ m1_subset_1(U_6578,u1_struct_0(U_6579)) )
| ~ l1_group_1(U_6579)
| ~ v4_group_1(U_6579)
| ~ v3_group_1(U_6579)
| v3_struct_0(U_6579) )
| ~ m2_subset_1(U_6580,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_6581,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2520_1]) ).
fof(f_2520_3,plain,
! [U_6578,U_6581,U_6580,U_6579] :
( k6_group_1(U_6579,k2_nat_1(U_6581,U_6580),U_6578) = k6_group_1(U_6579,U_6580,k6_group_1(U_6579,U_6581,U_6578))
| ~ m1_subset_1(U_6578,u1_struct_0(U_6579))
| ~ l1_group_1(U_6579)
| ~ v4_group_1(U_6579)
| ~ v3_group_1(U_6579)
| v3_struct_0(U_6579)
| ~ m2_subset_1(U_6580,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_6581,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2520_2]) ).
cnf(f_2520_4,plain,
( k6_group_1(U_6579,k2_nat_1(U_6581,U_6580),U_6578) = k6_group_1(U_6579,U_6580,k6_group_1(U_6579,U_6581,U_6578))
| ~ m1_subset_1(U_6578,u1_struct_0(U_6579))
| ~ l1_group_1(U_6579)
| ~ v4_group_1(U_6579)
| ~ v3_group_1(U_6579)
| v3_struct_0(U_6579)
| ~ m2_subset_1(U_6580,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_6581,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2520_3]) ).
fof(f_2521_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,A,k3_group_1(B,C)) = k3_group_1(B,k6_group_1(B,A,C))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t51_group_1]) ).
fof(f_2521_2,plain,
! [U_6584] :
( ! [U_6583] :
( ! [U_6582] :
( k6_group_1(U_6583,U_6584,k3_group_1(U_6583,U_6582)) = k3_group_1(U_6583,k6_group_1(U_6583,U_6584,U_6582))
| ~ m1_subset_1(U_6582,u1_struct_0(U_6583)) )
| ~ l1_group_1(U_6583)
| ~ v4_group_1(U_6583)
| ~ v3_group_1(U_6583)
| v3_struct_0(U_6583) )
| ~ m2_subset_1(U_6584,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2521_1]) ).
fof(f_2521_3,plain,
! [U_6583,U_6584,U_6582] :
( k6_group_1(U_6583,U_6584,k3_group_1(U_6583,U_6582)) = k3_group_1(U_6583,k6_group_1(U_6583,U_6584,U_6582))
| ~ m1_subset_1(U_6582,u1_struct_0(U_6583))
| ~ l1_group_1(U_6583)
| ~ v4_group_1(U_6583)
| ~ v3_group_1(U_6583)
| v3_struct_0(U_6583)
| ~ m2_subset_1(U_6584,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2521_2]) ).
cnf(f_2521_4,plain,
( k6_group_1(U_6583,U_6584,k3_group_1(U_6583,U_6582)) = k3_group_1(U_6583,k6_group_1(U_6583,U_6584,U_6582))
| ~ m1_subset_1(U_6582,u1_struct_0(U_6583))
| ~ l1_group_1(U_6583)
| ~ v4_group_1(U_6583)
| ~ v3_group_1(U_6583)
| v3_struct_0(U_6583)
| ~ m2_subset_1(U_6584,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2521_3]) ).
fof(f_2522_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C)
| k1_group_1(B,C,D) != k1_group_1(B,D,C)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t52_group_1]) ).
fof(f_2522_2,plain,
! [U_6588] :
( ! [U_6587] :
( ! [U_6586] :
( ! [U_6585] :
( k1_group_1(U_6587,U_6586,k6_group_1(U_6587,U_6588,U_6585)) = k1_group_1(U_6587,k6_group_1(U_6587,U_6588,U_6585),U_6586)
| k1_group_1(U_6587,U_6586,U_6585) != k1_group_1(U_6587,U_6585,U_6586)
| ~ m1_subset_1(U_6585,u1_struct_0(U_6587)) )
| ~ m1_subset_1(U_6586,u1_struct_0(U_6587)) )
| ~ l1_group_1(U_6587)
| ~ v4_group_1(U_6587)
| ~ v3_group_1(U_6587)
| v3_struct_0(U_6587) )
| ~ m2_subset_1(U_6588,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2522_1]) ).
fof(f_2522_3,plain,
! [U_6585,U_6588,U_6587,U_6586] :
( k1_group_1(U_6587,U_6586,k6_group_1(U_6587,U_6588,U_6585)) = k1_group_1(U_6587,k6_group_1(U_6587,U_6588,U_6585),U_6586)
| k1_group_1(U_6587,U_6586,U_6585) != k1_group_1(U_6587,U_6585,U_6586)
| ~ m1_subset_1(U_6585,u1_struct_0(U_6587))
| ~ m1_subset_1(U_6586,u1_struct_0(U_6587))
| ~ l1_group_1(U_6587)
| ~ v4_group_1(U_6587)
| ~ v3_group_1(U_6587)
| v3_struct_0(U_6587)
| ~ m2_subset_1(U_6588,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2522_2]) ).
cnf(f_2522_4,plain,
( k1_group_1(U_6587,U_6586,k6_group_1(U_6587,U_6588,U_6585)) = k1_group_1(U_6587,k6_group_1(U_6587,U_6588,U_6585),U_6586)
| k1_group_1(U_6587,U_6586,U_6585) != k1_group_1(U_6587,U_6585,U_6586)
| ~ m1_subset_1(U_6585,u1_struct_0(U_6587))
| ~ m1_subset_1(U_6586,u1_struct_0(U_6587))
| ~ l1_group_1(U_6587)
| ~ v4_group_1(U_6587)
| ~ v3_group_1(U_6587)
| v3_struct_0(U_6587)
| ~ m2_subset_1(U_6588,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2522_3]) ).
fof(f_2523_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D))
| k1_group_1(C,D,E) != k1_group_1(C,E,D)
| ~ m1_subset_1(E,u1_struct_0(C)) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t53_group_1]) ).
fof(f_2523_2,plain,
! [U_6593] :
( ! [U_6592] :
( ! [U_6591] :
( ! [U_6590] :
( ! [U_6589] :
( k1_group_1(U_6591,k6_group_1(U_6591,U_6593,U_6590),k6_group_1(U_6591,U_6592,U_6589)) = k1_group_1(U_6591,k6_group_1(U_6591,U_6592,U_6589),k6_group_1(U_6591,U_6593,U_6590))
| k1_group_1(U_6591,U_6590,U_6589) != k1_group_1(U_6591,U_6589,U_6590)
| ~ m1_subset_1(U_6589,u1_struct_0(U_6591)) )
| ~ m1_subset_1(U_6590,u1_struct_0(U_6591)) )
| ~ l1_group_1(U_6591)
| ~ v4_group_1(U_6591)
| ~ v3_group_1(U_6591)
| v3_struct_0(U_6591) )
| ~ m2_subset_1(U_6592,k1_numbers,k5_numbers) )
| ~ m2_subset_1(U_6593,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2523_1]) ).
fof(f_2523_3,plain,
! [U_6593,U_6592,U_6591,U_6590,U_6589] :
( k1_group_1(U_6591,k6_group_1(U_6591,U_6593,U_6590),k6_group_1(U_6591,U_6592,U_6589)) = k1_group_1(U_6591,k6_group_1(U_6591,U_6592,U_6589),k6_group_1(U_6591,U_6593,U_6590))
| k1_group_1(U_6591,U_6590,U_6589) != k1_group_1(U_6591,U_6589,U_6590)
| ~ m1_subset_1(U_6589,u1_struct_0(U_6591))
| ~ m1_subset_1(U_6590,u1_struct_0(U_6591))
| ~ l1_group_1(U_6591)
| ~ v4_group_1(U_6591)
| ~ v3_group_1(U_6591)
| v3_struct_0(U_6591)
| ~ m2_subset_1(U_6592,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_6593,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2523_2]) ).
cnf(f_2523_4,plain,
( k1_group_1(U_6591,k6_group_1(U_6591,U_6593,U_6590),k6_group_1(U_6591,U_6592,U_6589)) = k1_group_1(U_6591,k6_group_1(U_6591,U_6592,U_6589),k6_group_1(U_6591,U_6593,U_6590))
| k1_group_1(U_6591,U_6590,U_6589) != k1_group_1(U_6591,U_6589,U_6590)
| ~ m1_subset_1(U_6589,u1_struct_0(U_6591))
| ~ m1_subset_1(U_6590,u1_struct_0(U_6591))
| ~ l1_group_1(U_6591)
| ~ v4_group_1(U_6591)
| ~ v3_group_1(U_6591)
| v3_struct_0(U_6591)
| ~ m2_subset_1(U_6592,k1_numbers,k5_numbers)
| ~ m2_subset_1(U_6593,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2523_3]) ).
fof(f_2524_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(B,A,k1_group_1(B,C,D)) = k1_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D))
| k1_group_1(B,C,D) != k1_group_1(B,D,C)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t54_group_1]) ).
fof(f_2524_2,plain,
! [U_6597] :
( ! [U_6596] :
( ! [U_6595] :
( ! [U_6594] :
( k6_group_1(U_6596,U_6597,k1_group_1(U_6596,U_6595,U_6594)) = k1_group_1(U_6596,k6_group_1(U_6596,U_6597,U_6595),k6_group_1(U_6596,U_6597,U_6594))
| k1_group_1(U_6596,U_6595,U_6594) != k1_group_1(U_6596,U_6594,U_6595)
| ~ m1_subset_1(U_6594,u1_struct_0(U_6596)) )
| ~ m1_subset_1(U_6595,u1_struct_0(U_6596)) )
| ~ l1_group_1(U_6596)
| ~ v4_group_1(U_6596)
| ~ v3_group_1(U_6596)
| v3_struct_0(U_6596) )
| ~ m2_subset_1(U_6597,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2524_1]) ).
fof(f_2524_3,plain,
! [U_6597,U_6596,U_6595,U_6594] :
( k6_group_1(U_6596,U_6597,k1_group_1(U_6596,U_6595,U_6594)) = k1_group_1(U_6596,k6_group_1(U_6596,U_6597,U_6595),k6_group_1(U_6596,U_6597,U_6594))
| k1_group_1(U_6596,U_6595,U_6594) != k1_group_1(U_6596,U_6594,U_6595)
| ~ m1_subset_1(U_6594,u1_struct_0(U_6596))
| ~ m1_subset_1(U_6595,u1_struct_0(U_6596))
| ~ l1_group_1(U_6596)
| ~ v4_group_1(U_6596)
| ~ v3_group_1(U_6596)
| v3_struct_0(U_6596)
| ~ m2_subset_1(U_6597,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2524_2]) ).
cnf(f_2524_4,plain,
( k6_group_1(U_6596,U_6597,k1_group_1(U_6596,U_6595,U_6594)) = k1_group_1(U_6596,k6_group_1(U_6596,U_6597,U_6595),k6_group_1(U_6596,U_6597,U_6594))
| k1_group_1(U_6596,U_6595,U_6594) != k1_group_1(U_6596,U_6594,U_6595)
| ~ m1_subset_1(U_6594,u1_struct_0(U_6596))
| ~ m1_subset_1(U_6595,u1_struct_0(U_6596))
| ~ l1_group_1(U_6596)
| ~ v4_group_1(U_6596)
| ~ v3_group_1(U_6596)
| v3_struct_0(U_6596)
| ~ m2_subset_1(U_6597,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2524_3]) ).
fof(f_2525_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,A,C) = k6_group_1(B,k1_int_2(A),C)
| ~ r1_xreal_0(np__0,A)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t55_group_1]) ).
fof(f_2525_2,plain,
! [U_6600] :
( ! [U_6599] :
( ! [U_6598] :
( k6_group_1(U_6599,U_6600,U_6598) = k6_group_1(U_6599,k1_int_2(U_6600),U_6598)
| ~ r1_xreal_0(np__0,U_6600)
| ~ m1_subset_1(U_6598,u1_struct_0(U_6599)) )
| ~ l1_group_1(U_6599)
| ~ v4_group_1(U_6599)
| ~ v3_group_1(U_6599)
| v3_struct_0(U_6599) )
| ~ v1_int_1(U_6600) ),
inference(variable_rename,[status(thm)],[f_2525_1]) ).
fof(f_2525_3,plain,
! [U_6600,U_6599,U_6598] :
( k6_group_1(U_6599,U_6600,U_6598) = k6_group_1(U_6599,k1_int_2(U_6600),U_6598)
| ~ r1_xreal_0(np__0,U_6600)
| ~ m1_subset_1(U_6598,u1_struct_0(U_6599))
| ~ l1_group_1(U_6599)
| ~ v4_group_1(U_6599)
| ~ v3_group_1(U_6599)
| v3_struct_0(U_6599)
| ~ v1_int_1(U_6600) ),
inference(definitional_conversion,[status(esa)],[f_2525_2]) ).
cnf(f_2525_4,plain,
( k6_group_1(U_6599,U_6600,U_6598) = k6_group_1(U_6599,k1_int_2(U_6600),U_6598)
| ~ r1_xreal_0(np__0,U_6600)
| ~ m1_subset_1(U_6598,u1_struct_0(U_6599))
| ~ l1_group_1(U_6599)
| ~ v4_group_1(U_6599)
| ~ v3_group_1(U_6599)
| v3_struct_0(U_6599)
| ~ v1_int_1(U_6600) ),
inference(clausify,[status(thm)],[f_2525_3]) ).
fof(f_2526_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C))
| r1_xreal_0(np__0,A)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t56_group_1]) ).
fof(f_2526_2,plain,
! [U_6603] :
( ! [U_6602] :
( ! [U_6601] :
( k6_group_1(U_6602,U_6603,U_6601) = k3_group_1(U_6602,k6_group_1(U_6602,k1_int_2(U_6603),U_6601))
| r1_xreal_0(np__0,U_6603)
| ~ m1_subset_1(U_6601,u1_struct_0(U_6602)) )
| ~ l1_group_1(U_6602)
| ~ v4_group_1(U_6602)
| ~ v3_group_1(U_6602)
| v3_struct_0(U_6602) )
| ~ v1_int_1(U_6603) ),
inference(variable_rename,[status(thm)],[f_2526_1]) ).
fof(f_2526_3,plain,
! [U_6602,U_6603,U_6601] :
( k6_group_1(U_6602,U_6603,U_6601) = k3_group_1(U_6602,k6_group_1(U_6602,k1_int_2(U_6603),U_6601))
| r1_xreal_0(np__0,U_6603)
| ~ m1_subset_1(U_6601,u1_struct_0(U_6602))
| ~ l1_group_1(U_6602)
| ~ v4_group_1(U_6602)
| ~ v3_group_1(U_6602)
| v3_struct_0(U_6602)
| ~ v1_int_1(U_6603) ),
inference(definitional_conversion,[status(esa)],[f_2526_2]) ).
cnf(f_2526_4,plain,
( k6_group_1(U_6602,U_6603,U_6601) = k3_group_1(U_6602,k6_group_1(U_6602,k1_int_2(U_6603),U_6601))
| r1_xreal_0(np__0,U_6603)
| ~ m1_subset_1(U_6601,u1_struct_0(U_6602))
| ~ l1_group_1(U_6602)
| ~ v4_group_1(U_6602)
| ~ v3_group_1(U_6602)
| v3_struct_0(U_6602)
| ~ v1_int_1(U_6603) ),
inference(clausify,[status(thm)],[f_2526_3]) ).
fof(f_2527_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_group_1]) ).
fof(f_2527_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2527_1]) ).
cnf(f_2527_3,plain,
$true,
inference(clausify,[status(thm)],[f_2527_2]) ).
fof(f_2528_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t58_group_1]) ).
fof(f_2528_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2528_1]) ).
cnf(f_2528_3,plain,
$true,
inference(clausify,[status(thm)],[f_2528_2]) ).
fof(f_2529_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,A,C) = k2_group_1(B)
| A != np__0
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t59_group_1]) ).
fof(f_2529_2,plain,
! [U_6606] :
( ! [U_6605] :
( ! [U_6604] :
( k6_group_1(U_6605,U_6606,U_6604) = k2_group_1(U_6605)
| U_6606 != np__0
| ~ m1_subset_1(U_6604,u1_struct_0(U_6605)) )
| ~ l1_group_1(U_6605)
| ~ v4_group_1(U_6605)
| ~ v3_group_1(U_6605)
| v3_struct_0(U_6605) )
| ~ v1_int_1(U_6606) ),
inference(variable_rename,[status(thm)],[f_2529_1]) ).
fof(f_2529_3,plain,
! [U_6604,U_6605,U_6606] :
( k6_group_1(U_6605,U_6606,U_6604) = k2_group_1(U_6605)
| U_6606 != np__0
| ~ m1_subset_1(U_6604,u1_struct_0(U_6605))
| ~ l1_group_1(U_6605)
| ~ v4_group_1(U_6605)
| ~ v3_group_1(U_6605)
| v3_struct_0(U_6605)
| ~ v1_int_1(U_6606) ),
inference(definitional_conversion,[status(esa)],[f_2529_2]) ).
cnf(f_2529_4,plain,
( k6_group_1(U_6605,U_6606,U_6604) = k2_group_1(U_6605)
| U_6606 != np__0
| ~ m1_subset_1(U_6604,u1_struct_0(U_6605))
| ~ l1_group_1(U_6605)
| ~ v4_group_1(U_6605)
| ~ v3_group_1(U_6605)
| v3_struct_0(U_6605)
| ~ v1_int_1(U_6606) ),
inference(clausify,[status(thm)],[f_2529_3]) ).
fof(f_2530_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C))
| ~ r1_xreal_0(A,np__0)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t60_group_1]) ).
fof(f_2530_2,plain,
! [U_6609] :
( ! [U_6608] :
( ! [U_6607] :
( k6_group_1(U_6608,U_6609,U_6607) = k3_group_1(U_6608,k6_group_1(U_6608,k1_int_2(U_6609),U_6607))
| ~ r1_xreal_0(U_6609,np__0)
| ~ m1_subset_1(U_6607,u1_struct_0(U_6608)) )
| ~ l1_group_1(U_6608)
| ~ v4_group_1(U_6608)
| ~ v3_group_1(U_6608)
| v3_struct_0(U_6608) )
| ~ v1_int_1(U_6609) ),
inference(variable_rename,[status(thm)],[f_2530_1]) ).
fof(f_2530_3,plain,
! [U_6609,U_6608,U_6607] :
( k6_group_1(U_6608,U_6609,U_6607) = k3_group_1(U_6608,k6_group_1(U_6608,k1_int_2(U_6609),U_6607))
| ~ r1_xreal_0(U_6609,np__0)
| ~ m1_subset_1(U_6607,u1_struct_0(U_6608))
| ~ l1_group_1(U_6608)
| ~ v4_group_1(U_6608)
| ~ v3_group_1(U_6608)
| v3_struct_0(U_6608)
| ~ v1_int_1(U_6609) ),
inference(definitional_conversion,[status(esa)],[f_2530_2]) ).
cnf(f_2530_4,plain,
( k6_group_1(U_6608,U_6609,U_6607) = k3_group_1(U_6608,k6_group_1(U_6608,k1_int_2(U_6609),U_6607))
| ~ r1_xreal_0(U_6609,np__0)
| ~ m1_subset_1(U_6607,u1_struct_0(U_6608))
| ~ l1_group_1(U_6608)
| ~ v4_group_1(U_6608)
| ~ v3_group_1(U_6608)
| v3_struct_0(U_6608)
| ~ v1_int_1(U_6609) ),
inference(clausify,[status(thm)],[f_2530_3]) ).
fof(f_2531_1,plain,
! [A] :
( ! [B] :
( k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B)
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t61_group_1]) ).
fof(f_2531_2,plain,
! [U_6611] :
( ! [U_6610] :
( k6_group_1(U_6610,U_6611,k2_group_1(U_6610)) = k2_group_1(U_6610)
| ~ l1_group_1(U_6610)
| ~ v4_group_1(U_6610)
| ~ v3_group_1(U_6610)
| v3_struct_0(U_6610) )
| ~ v1_int_1(U_6611) ),
inference(variable_rename,[status(thm)],[f_2531_1]) ).
fof(f_2531_3,plain,
! [U_6610,U_6611] :
( k6_group_1(U_6610,U_6611,k2_group_1(U_6610)) = k2_group_1(U_6610)
| ~ l1_group_1(U_6610)
| ~ v4_group_1(U_6610)
| ~ v3_group_1(U_6610)
| v3_struct_0(U_6610)
| ~ v1_int_1(U_6611) ),
inference(definitional_conversion,[status(esa)],[f_2531_2]) ).
cnf(f_2531_4,plain,
( k6_group_1(U_6610,U_6611,k2_group_1(U_6610)) = k2_group_1(U_6610)
| ~ l1_group_1(U_6610)
| ~ v4_group_1(U_6610)
| ~ v3_group_1(U_6610)
| v3_struct_0(U_6610)
| ~ v1_int_1(U_6611) ),
inference(clausify,[status(thm)],[f_2531_3]) ).
fof(f_2532_1,plain,
! [A] :
( ! [B] :
( k6_group_1(A,k7_binop_2(np__1),B) = k3_group_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t62_group_1]) ).
fof(f_2532_2,plain,
! [U_6613] :
( ! [U_6612] :
( k6_group_1(U_6613,k7_binop_2(np__1),U_6612) = k3_group_1(U_6613,U_6612)
| ~ m1_subset_1(U_6612,u1_struct_0(U_6613)) )
| ~ l1_group_1(U_6613)
| ~ v4_group_1(U_6613)
| ~ v3_group_1(U_6613)
| v3_struct_0(U_6613) ),
inference(variable_rename,[status(thm)],[f_2532_1]) ).
fof(f_2532_3,plain,
! [U_6613,U_6612] :
( k6_group_1(U_6613,k7_binop_2(np__1),U_6612) = k3_group_1(U_6613,U_6612)
| ~ m1_subset_1(U_6612,u1_struct_0(U_6613))
| ~ l1_group_1(U_6613)
| ~ v4_group_1(U_6613)
| ~ v3_group_1(U_6613)
| v3_struct_0(U_6613) ),
inference(definitional_conversion,[status(esa)],[f_2532_2]) ).
cnf(f_2532_4,plain,
( k6_group_1(U_6613,k7_binop_2(np__1),U_6612) = k3_group_1(U_6613,U_6612)
| ~ m1_subset_1(U_6612,u1_struct_0(U_6613))
| ~ l1_group_1(U_6613)
| ~ v4_group_1(U_6613)
| ~ v3_group_1(U_6613)
| v3_struct_0(U_6613) ),
inference(clausify,[status(thm)],[f_2532_3]) ).
fof(f_2533_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k2_xcmplx_0(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t63_group_1]) ).
fof(f_2533_2,plain,
! [U_6617] :
( ! [U_6616] :
( ! [U_6615] :
( ! [U_6614] :
( k6_group_1(U_6615,k2_xcmplx_0(U_6617,U_6616),U_6614) = k1_group_1(U_6615,k6_group_1(U_6615,U_6617,U_6614),k6_group_1(U_6615,U_6616,U_6614))
| ~ m1_subset_1(U_6614,u1_struct_0(U_6615)) )
| ~ l1_group_1(U_6615)
| ~ v4_group_1(U_6615)
| ~ v3_group_1(U_6615)
| v3_struct_0(U_6615) )
| ~ v1_int_1(U_6616) )
| ~ v1_int_1(U_6617) ),
inference(variable_rename,[status(thm)],[f_2533_1]) ).
fof(f_2533_3,plain,
! [U_6616,U_6617,U_6615,U_6614] :
( k6_group_1(U_6615,k2_xcmplx_0(U_6617,U_6616),U_6614) = k1_group_1(U_6615,k6_group_1(U_6615,U_6617,U_6614),k6_group_1(U_6615,U_6616,U_6614))
| ~ m1_subset_1(U_6614,u1_struct_0(U_6615))
| ~ l1_group_1(U_6615)
| ~ v4_group_1(U_6615)
| ~ v3_group_1(U_6615)
| v3_struct_0(U_6615)
| ~ v1_int_1(U_6616)
| ~ v1_int_1(U_6617) ),
inference(definitional_conversion,[status(esa)],[f_2533_2]) ).
cnf(f_2533_4,plain,
( k6_group_1(U_6615,k2_xcmplx_0(U_6617,U_6616),U_6614) = k1_group_1(U_6615,k6_group_1(U_6615,U_6617,U_6614),k6_group_1(U_6615,U_6616,U_6614))
| ~ m1_subset_1(U_6614,u1_struct_0(U_6615))
| ~ l1_group_1(U_6615)
| ~ v4_group_1(U_6615)
| ~ v3_group_1(U_6615)
| v3_struct_0(U_6615)
| ~ v1_int_1(U_6616)
| ~ v1_int_1(U_6617) ),
inference(clausify,[status(thm)],[f_2533_3]) ).
fof(f_2534_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k2_xcmplx_0(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t64_group_1]) ).
fof(f_2534_2,plain,
! [U_6621] :
( ! [U_6620] :
( ! [U_6619] :
( ! [U_6618] :
( k6_group_1(U_6619,k2_xcmplx_0(U_6621,U_6620),U_6618) = k1_group_1(U_6619,k6_group_1(U_6619,U_6621,U_6618),k6_group_1(U_6619,U_6620,U_6618))
| ~ m1_subset_1(U_6618,u1_struct_0(U_6619)) )
| ~ l1_group_1(U_6619)
| ~ v4_group_1(U_6619)
| ~ v3_group_1(U_6619)
| v3_struct_0(U_6619) )
| ~ v1_int_1(U_6620) )
| ~ m2_subset_1(U_6621,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2534_1]) ).
fof(f_2534_3,plain,
! [U_6619,U_6618,U_6620,U_6621] :
( k6_group_1(U_6619,k2_xcmplx_0(U_6621,U_6620),U_6618) = k1_group_1(U_6619,k6_group_1(U_6619,U_6621,U_6618),k6_group_1(U_6619,U_6620,U_6618))
| ~ m1_subset_1(U_6618,u1_struct_0(U_6619))
| ~ l1_group_1(U_6619)
| ~ v4_group_1(U_6619)
| ~ v3_group_1(U_6619)
| v3_struct_0(U_6619)
| ~ v1_int_1(U_6620)
| ~ m2_subset_1(U_6621,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2534_2]) ).
cnf(f_2534_4,plain,
( k6_group_1(U_6619,k2_xcmplx_0(U_6621,U_6620),U_6618) = k1_group_1(U_6619,k6_group_1(U_6619,U_6621,U_6618),k6_group_1(U_6619,U_6620,U_6618))
| ~ m1_subset_1(U_6618,u1_struct_0(U_6619))
| ~ l1_group_1(U_6619)
| ~ v4_group_1(U_6619)
| ~ v3_group_1(U_6619)
| v3_struct_0(U_6619)
| ~ v1_int_1(U_6620)
| ~ m2_subset_1(U_6621,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2534_3]) ).
fof(f_2535_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k2_xcmplx_0(B,A),D) = k1_group_1(C,k6_group_1(C,B,D),k6_group_1(C,A,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t65_group_1]) ).
fof(f_2535_2,plain,
! [U_6625] :
( ! [U_6624] :
( ! [U_6623] :
( ! [U_6622] :
( k6_group_1(U_6623,k2_xcmplx_0(U_6624,U_6625),U_6622) = k1_group_1(U_6623,k6_group_1(U_6623,U_6624,U_6622),k6_group_1(U_6623,U_6625,U_6622))
| ~ m1_subset_1(U_6622,u1_struct_0(U_6623)) )
| ~ l1_group_1(U_6623)
| ~ v4_group_1(U_6623)
| ~ v3_group_1(U_6623)
| v3_struct_0(U_6623) )
| ~ v1_int_1(U_6624) )
| ~ m2_subset_1(U_6625,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2535_1]) ).
fof(f_2535_3,plain,
! [U_6623,U_6622,U_6625,U_6624] :
( k6_group_1(U_6623,k2_xcmplx_0(U_6624,U_6625),U_6622) = k1_group_1(U_6623,k6_group_1(U_6623,U_6624,U_6622),k6_group_1(U_6623,U_6625,U_6622))
| ~ m1_subset_1(U_6622,u1_struct_0(U_6623))
| ~ l1_group_1(U_6623)
| ~ v4_group_1(U_6623)
| ~ v3_group_1(U_6623)
| v3_struct_0(U_6623)
| ~ v1_int_1(U_6624)
| ~ m2_subset_1(U_6625,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2535_2]) ).
cnf(f_2535_4,plain,
( k6_group_1(U_6623,k2_xcmplx_0(U_6624,U_6625),U_6622) = k1_group_1(U_6623,k6_group_1(U_6623,U_6624,U_6622),k6_group_1(U_6623,U_6625,U_6622))
| ~ m1_subset_1(U_6622,u1_struct_0(U_6623))
| ~ l1_group_1(U_6623)
| ~ v4_group_1(U_6623)
| ~ v3_group_1(U_6623)
| v3_struct_0(U_6623)
| ~ v1_int_1(U_6624)
| ~ m2_subset_1(U_6625,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2535_3]) ).
fof(f_2536_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C))
& k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t66_group_1]) ).
fof(f_2536_2,plain,
! [U_6628] :
( ! [U_6627] :
( ! [U_6626] :
( ( k6_group_1(U_6627,k2_xcmplx_0(U_6628,np__1),U_6626) = k1_group_1(U_6627,U_6626,k6_group_1(U_6627,U_6628,U_6626))
& k6_group_1(U_6627,k2_xcmplx_0(U_6628,np__1),U_6626) = k1_group_1(U_6627,k6_group_1(U_6627,U_6628,U_6626),U_6626) )
| ~ m1_subset_1(U_6626,u1_struct_0(U_6627)) )
| ~ l1_group_1(U_6627)
| ~ v4_group_1(U_6627)
| ~ v3_group_1(U_6627)
| v3_struct_0(U_6627) )
| ~ v1_int_1(U_6628) ),
inference(variable_rename,[status(thm)],[f_2536_1]) ).
fof(f_2536_3,plain,
( ! [U_6626,U_6628,U_6627] :
( k6_group_1(U_6627,k2_xcmplx_0(U_6628,np__1),U_6626) = k1_group_1(U_6627,U_6626,k6_group_1(U_6627,U_6628,U_6626))
| ~ sP1182(U_6626,U_6628,U_6627) )
& ! [U_6626,U_6628,U_6627] :
( k6_group_1(U_6627,k2_xcmplx_0(U_6628,np__1),U_6626) = k1_group_1(U_6627,k6_group_1(U_6627,U_6628,U_6626),U_6626)
| ~ sP1182(U_6626,U_6628,U_6627) )
& ! [U_6626,U_6628,U_6627] :
( sP1182(U_6626,U_6628,U_6627)
| ~ m1_subset_1(U_6626,u1_struct_0(U_6627))
| ~ l1_group_1(U_6627)
| ~ v4_group_1(U_6627)
| ~ v3_group_1(U_6627)
| v3_struct_0(U_6627)
| ~ v1_int_1(U_6628) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1182])],[f_2536_2]) ).
cnf(f_2536_4,plain,
( sP1182(U_6626,U_6628,U_6627)
| ~ m1_subset_1(U_6626,u1_struct_0(U_6627))
| ~ l1_group_1(U_6627)
| ~ v4_group_1(U_6627)
| ~ v3_group_1(U_6627)
| v3_struct_0(U_6627)
| ~ v1_int_1(U_6628) ),
inference(clausify,[status(thm)],[f_2536_3]) ).
cnf(f_2536_5,plain,
( k6_group_1(U_6627,k2_xcmplx_0(U_6628,np__1),U_6626) = k1_group_1(U_6627,k6_group_1(U_6627,U_6628,U_6626),U_6626)
| ~ sP1182(U_6626,U_6628,U_6627) ),
inference(clausify,[status(thm)],[f_2536_3]) ).
cnf(f_2536_6,plain,
( k6_group_1(U_6627,k2_xcmplx_0(U_6628,np__1),U_6626) = k1_group_1(U_6627,U_6626,k6_group_1(U_6627,U_6628,U_6626))
| ~ sP1182(U_6626,U_6628,U_6627) ),
inference(clausify,[status(thm)],[f_2536_3]) ).
fof(f_2537_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t67_group_1]) ).
fof(f_2537_2,plain,
! [U_6632] :
( ! [U_6631] :
( ! [U_6630] :
( ! [U_6629] :
( k6_group_1(U_6630,k3_xcmplx_0(U_6632,U_6631),U_6629) = k6_group_1(U_6630,U_6631,k6_group_1(U_6630,U_6632,U_6629))
| ~ m1_subset_1(U_6629,u1_struct_0(U_6630)) )
| ~ l1_group_1(U_6630)
| ~ v4_group_1(U_6630)
| ~ v3_group_1(U_6630)
| v3_struct_0(U_6630) )
| ~ v1_int_1(U_6631) )
| ~ v1_int_1(U_6632) ),
inference(variable_rename,[status(thm)],[f_2537_1]) ).
fof(f_2537_3,plain,
! [U_6630,U_6632,U_6629,U_6631] :
( k6_group_1(U_6630,k3_xcmplx_0(U_6632,U_6631),U_6629) = k6_group_1(U_6630,U_6631,k6_group_1(U_6630,U_6632,U_6629))
| ~ m1_subset_1(U_6629,u1_struct_0(U_6630))
| ~ l1_group_1(U_6630)
| ~ v4_group_1(U_6630)
| ~ v3_group_1(U_6630)
| v3_struct_0(U_6630)
| ~ v1_int_1(U_6631)
| ~ v1_int_1(U_6632) ),
inference(definitional_conversion,[status(esa)],[f_2537_2]) ).
cnf(f_2537_4,plain,
( k6_group_1(U_6630,k3_xcmplx_0(U_6632,U_6631),U_6629) = k6_group_1(U_6630,U_6631,k6_group_1(U_6630,U_6632,U_6629))
| ~ m1_subset_1(U_6629,u1_struct_0(U_6630))
| ~ l1_group_1(U_6630)
| ~ v4_group_1(U_6630)
| ~ v3_group_1(U_6630)
| v3_struct_0(U_6630)
| ~ v1_int_1(U_6631)
| ~ v1_int_1(U_6632) ),
inference(clausify,[status(thm)],[f_2537_3]) ).
fof(f_2538_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t68_group_1]) ).
fof(f_2538_2,plain,
! [U_6636] :
( ! [U_6635] :
( ! [U_6634] :
( ! [U_6633] :
( k6_group_1(U_6634,k3_xcmplx_0(U_6636,U_6635),U_6633) = k6_group_1(U_6634,U_6635,k6_group_1(U_6634,U_6636,U_6633))
| ~ m1_subset_1(U_6633,u1_struct_0(U_6634)) )
| ~ l1_group_1(U_6634)
| ~ v4_group_1(U_6634)
| ~ v3_group_1(U_6634)
| v3_struct_0(U_6634) )
| ~ v1_int_1(U_6635) )
| ~ m2_subset_1(U_6636,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2538_1]) ).
fof(f_2538_3,plain,
! [U_6636,U_6634,U_6633,U_6635] :
( k6_group_1(U_6634,k3_xcmplx_0(U_6636,U_6635),U_6633) = k6_group_1(U_6634,U_6635,k6_group_1(U_6634,U_6636,U_6633))
| ~ m1_subset_1(U_6633,u1_struct_0(U_6634))
| ~ l1_group_1(U_6634)
| ~ v4_group_1(U_6634)
| ~ v3_group_1(U_6634)
| v3_struct_0(U_6634)
| ~ v1_int_1(U_6635)
| ~ m2_subset_1(U_6636,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2538_2]) ).
cnf(f_2538_4,plain,
( k6_group_1(U_6634,k3_xcmplx_0(U_6636,U_6635),U_6633) = k6_group_1(U_6634,U_6635,k6_group_1(U_6634,U_6636,U_6633))
| ~ m1_subset_1(U_6633,u1_struct_0(U_6634))
| ~ l1_group_1(U_6634)
| ~ v4_group_1(U_6634)
| ~ v3_group_1(U_6634)
| v3_struct_0(U_6634)
| ~ v1_int_1(U_6635)
| ~ m2_subset_1(U_6636,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2538_3]) ).
fof(f_2539_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(C,k3_xcmplx_0(B,A),D) = k6_group_1(C,A,k6_group_1(C,B,D))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t69_group_1]) ).
fof(f_2539_2,plain,
! [U_6640] :
( ! [U_6639] :
( ! [U_6638] :
( ! [U_6637] :
( k6_group_1(U_6638,k3_xcmplx_0(U_6639,U_6640),U_6637) = k6_group_1(U_6638,U_6640,k6_group_1(U_6638,U_6639,U_6637))
| ~ m1_subset_1(U_6637,u1_struct_0(U_6638)) )
| ~ l1_group_1(U_6638)
| ~ v4_group_1(U_6638)
| ~ v3_group_1(U_6638)
| v3_struct_0(U_6638) )
| ~ v1_int_1(U_6639) )
| ~ m2_subset_1(U_6640,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2539_1]) ).
fof(f_2539_3,plain,
! [U_6637,U_6640,U_6639,U_6638] :
( k6_group_1(U_6638,k3_xcmplx_0(U_6639,U_6640),U_6637) = k6_group_1(U_6638,U_6640,k6_group_1(U_6638,U_6639,U_6637))
| ~ m1_subset_1(U_6637,u1_struct_0(U_6638))
| ~ l1_group_1(U_6638)
| ~ v4_group_1(U_6638)
| ~ v3_group_1(U_6638)
| v3_struct_0(U_6638)
| ~ v1_int_1(U_6639)
| ~ m2_subset_1(U_6640,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2539_2]) ).
cnf(f_2539_4,plain,
( k6_group_1(U_6638,k3_xcmplx_0(U_6639,U_6640),U_6637) = k6_group_1(U_6638,U_6640,k6_group_1(U_6638,U_6639,U_6637))
| ~ m1_subset_1(U_6637,u1_struct_0(U_6638))
| ~ l1_group_1(U_6638)
| ~ v4_group_1(U_6638)
| ~ v3_group_1(U_6638)
| v3_struct_0(U_6638)
| ~ v1_int_1(U_6639)
| ~ m2_subset_1(U_6640,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2539_3]) ).
fof(f_2540_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,k4_xcmplx_0(A),C) = k3_group_1(B,k6_group_1(B,A,C))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t70_group_1]) ).
fof(f_2540_2,plain,
! [U_6643] :
( ! [U_6642] :
( ! [U_6641] :
( k6_group_1(U_6642,k4_xcmplx_0(U_6643),U_6641) = k3_group_1(U_6642,k6_group_1(U_6642,U_6643,U_6641))
| ~ m1_subset_1(U_6641,u1_struct_0(U_6642)) )
| ~ l1_group_1(U_6642)
| ~ v4_group_1(U_6642)
| ~ v3_group_1(U_6642)
| v3_struct_0(U_6642) )
| ~ v1_int_1(U_6643) ),
inference(variable_rename,[status(thm)],[f_2540_1]) ).
fof(f_2540_3,plain,
! [U_6642,U_6641,U_6643] :
( k6_group_1(U_6642,k4_xcmplx_0(U_6643),U_6641) = k3_group_1(U_6642,k6_group_1(U_6642,U_6643,U_6641))
| ~ m1_subset_1(U_6641,u1_struct_0(U_6642))
| ~ l1_group_1(U_6642)
| ~ v4_group_1(U_6642)
| ~ v3_group_1(U_6642)
| v3_struct_0(U_6642)
| ~ v1_int_1(U_6643) ),
inference(definitional_conversion,[status(esa)],[f_2540_2]) ).
cnf(f_2540_4,plain,
( k6_group_1(U_6642,k4_xcmplx_0(U_6643),U_6641) = k3_group_1(U_6642,k6_group_1(U_6642,U_6643,U_6641))
| ~ m1_subset_1(U_6641,u1_struct_0(U_6642))
| ~ l1_group_1(U_6642)
| ~ v4_group_1(U_6642)
| ~ v3_group_1(U_6642)
| v3_struct_0(U_6642)
| ~ v1_int_1(U_6643) ),
inference(clausify,[status(thm)],[f_2540_3]) ).
fof(f_2541_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,k7_binop_2(A),C) = k3_group_1(B,k6_group_1(B,A,C))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t71_group_1]) ).
fof(f_2541_2,plain,
! [U_6646] :
( ! [U_6645] :
( ! [U_6644] :
( k6_group_1(U_6645,k7_binop_2(U_6646),U_6644) = k3_group_1(U_6645,k6_group_1(U_6645,U_6646,U_6644))
| ~ m1_subset_1(U_6644,u1_struct_0(U_6645)) )
| ~ l1_group_1(U_6645)
| ~ v4_group_1(U_6645)
| ~ v3_group_1(U_6645)
| v3_struct_0(U_6645) )
| ~ m2_subset_1(U_6646,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2541_1]) ).
fof(f_2541_3,plain,
! [U_6644,U_6645,U_6646] :
( k6_group_1(U_6645,k7_binop_2(U_6646),U_6644) = k3_group_1(U_6645,k6_group_1(U_6645,U_6646,U_6644))
| ~ m1_subset_1(U_6644,u1_struct_0(U_6645))
| ~ l1_group_1(U_6645)
| ~ v4_group_1(U_6645)
| ~ v3_group_1(U_6645)
| v3_struct_0(U_6645)
| ~ m2_subset_1(U_6646,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2541_2]) ).
cnf(f_2541_4,plain,
( k6_group_1(U_6645,k7_binop_2(U_6646),U_6644) = k3_group_1(U_6645,k6_group_1(U_6645,U_6646,U_6644))
| ~ m1_subset_1(U_6644,u1_struct_0(U_6645))
| ~ l1_group_1(U_6645)
| ~ v4_group_1(U_6645)
| ~ v3_group_1(U_6645)
| v3_struct_0(U_6645)
| ~ m2_subset_1(U_6646,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2541_3]) ).
fof(f_2542_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_group_1(B,A,k3_group_1(B,C)) = k3_group_1(B,k6_group_1(B,A,C))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t72_group_1]) ).
fof(f_2542_2,plain,
! [U_6649] :
( ! [U_6648] :
( ! [U_6647] :
( k6_group_1(U_6648,U_6649,k3_group_1(U_6648,U_6647)) = k3_group_1(U_6648,k6_group_1(U_6648,U_6649,U_6647))
| ~ m1_subset_1(U_6647,u1_struct_0(U_6648)) )
| ~ l1_group_1(U_6648)
| ~ v4_group_1(U_6648)
| ~ v3_group_1(U_6648)
| v3_struct_0(U_6648) )
| ~ v1_int_1(U_6649) ),
inference(variable_rename,[status(thm)],[f_2542_1]) ).
fof(f_2542_3,plain,
! [U_6649,U_6648,U_6647] :
( k6_group_1(U_6648,U_6649,k3_group_1(U_6648,U_6647)) = k3_group_1(U_6648,k6_group_1(U_6648,U_6649,U_6647))
| ~ m1_subset_1(U_6647,u1_struct_0(U_6648))
| ~ l1_group_1(U_6648)
| ~ v4_group_1(U_6648)
| ~ v3_group_1(U_6648)
| v3_struct_0(U_6648)
| ~ v1_int_1(U_6649) ),
inference(definitional_conversion,[status(esa)],[f_2542_2]) ).
cnf(f_2542_4,plain,
( k6_group_1(U_6648,U_6649,k3_group_1(U_6648,U_6647)) = k3_group_1(U_6648,k6_group_1(U_6648,U_6649,U_6647))
| ~ m1_subset_1(U_6647,u1_struct_0(U_6648))
| ~ l1_group_1(U_6648)
| ~ v4_group_1(U_6648)
| ~ v3_group_1(U_6648)
| v3_struct_0(U_6648)
| ~ v1_int_1(U_6649) ),
inference(clausify,[status(thm)],[f_2542_3]) ).
fof(f_2543_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(B,A,k1_group_1(B,C,D)) = k1_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D))
| k1_group_1(B,C,D) != k1_group_1(B,D,C)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t73_group_1]) ).
fof(f_2543_2,plain,
! [U_6653] :
( ! [U_6652] :
( ! [U_6651] :
( ! [U_6650] :
( k6_group_1(U_6652,U_6653,k1_group_1(U_6652,U_6651,U_6650)) = k1_group_1(U_6652,k6_group_1(U_6652,U_6653,U_6651),k6_group_1(U_6652,U_6653,U_6650))
| k1_group_1(U_6652,U_6651,U_6650) != k1_group_1(U_6652,U_6650,U_6651)
| ~ m1_subset_1(U_6650,u1_struct_0(U_6652)) )
| ~ m1_subset_1(U_6651,u1_struct_0(U_6652)) )
| ~ l1_group_1(U_6652)
| ~ v4_group_1(U_6652)
| ~ v3_group_1(U_6652)
| v3_struct_0(U_6652) )
| ~ v1_int_1(U_6653) ),
inference(variable_rename,[status(thm)],[f_2543_1]) ).
fof(f_2543_3,plain,
! [U_6653,U_6650,U_6651,U_6652] :
( k6_group_1(U_6652,U_6653,k1_group_1(U_6652,U_6651,U_6650)) = k1_group_1(U_6652,k6_group_1(U_6652,U_6653,U_6651),k6_group_1(U_6652,U_6653,U_6650))
| k1_group_1(U_6652,U_6651,U_6650) != k1_group_1(U_6652,U_6650,U_6651)
| ~ m1_subset_1(U_6650,u1_struct_0(U_6652))
| ~ m1_subset_1(U_6651,u1_struct_0(U_6652))
| ~ l1_group_1(U_6652)
| ~ v4_group_1(U_6652)
| ~ v3_group_1(U_6652)
| v3_struct_0(U_6652)
| ~ v1_int_1(U_6653) ),
inference(definitional_conversion,[status(esa)],[f_2543_2]) ).
cnf(f_2543_4,plain,
( k6_group_1(U_6652,U_6653,k1_group_1(U_6652,U_6651,U_6650)) = k1_group_1(U_6652,k6_group_1(U_6652,U_6653,U_6651),k6_group_1(U_6652,U_6653,U_6650))
| k1_group_1(U_6652,U_6651,U_6650) != k1_group_1(U_6652,U_6650,U_6651)
| ~ m1_subset_1(U_6650,u1_struct_0(U_6652))
| ~ m1_subset_1(U_6651,u1_struct_0(U_6652))
| ~ l1_group_1(U_6652)
| ~ v4_group_1(U_6652)
| ~ v3_group_1(U_6652)
| v3_struct_0(U_6652)
| ~ v1_int_1(U_6653) ),
inference(clausify,[status(thm)],[f_2543_3]) ).
fof(f_2544_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D))
| k1_group_1(C,D,E) != k1_group_1(C,E,D)
| ~ m1_subset_1(E,u1_struct_0(C)) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t74_group_1]) ).
fof(f_2544_2,plain,
! [U_6658] :
( ! [U_6657] :
( ! [U_6656] :
( ! [U_6655] :
( ! [U_6654] :
( k1_group_1(U_6656,k6_group_1(U_6656,U_6658,U_6655),k6_group_1(U_6656,U_6657,U_6654)) = k1_group_1(U_6656,k6_group_1(U_6656,U_6657,U_6654),k6_group_1(U_6656,U_6658,U_6655))
| k1_group_1(U_6656,U_6655,U_6654) != k1_group_1(U_6656,U_6654,U_6655)
| ~ m1_subset_1(U_6654,u1_struct_0(U_6656)) )
| ~ m1_subset_1(U_6655,u1_struct_0(U_6656)) )
| ~ l1_group_1(U_6656)
| ~ v4_group_1(U_6656)
| ~ v3_group_1(U_6656)
| v3_struct_0(U_6656) )
| ~ v1_int_1(U_6657) )
| ~ v1_int_1(U_6658) ),
inference(variable_rename,[status(thm)],[f_2544_1]) ).
fof(f_2544_3,plain,
! [U_6656,U_6655,U_6654,U_6657,U_6658] :
( k1_group_1(U_6656,k6_group_1(U_6656,U_6658,U_6655),k6_group_1(U_6656,U_6657,U_6654)) = k1_group_1(U_6656,k6_group_1(U_6656,U_6657,U_6654),k6_group_1(U_6656,U_6658,U_6655))
| k1_group_1(U_6656,U_6655,U_6654) != k1_group_1(U_6656,U_6654,U_6655)
| ~ m1_subset_1(U_6654,u1_struct_0(U_6656))
| ~ m1_subset_1(U_6655,u1_struct_0(U_6656))
| ~ l1_group_1(U_6656)
| ~ v4_group_1(U_6656)
| ~ v3_group_1(U_6656)
| v3_struct_0(U_6656)
| ~ v1_int_1(U_6657)
| ~ v1_int_1(U_6658) ),
inference(definitional_conversion,[status(esa)],[f_2544_2]) ).
cnf(f_2544_4,plain,
( k1_group_1(U_6656,k6_group_1(U_6656,U_6658,U_6655),k6_group_1(U_6656,U_6657,U_6654)) = k1_group_1(U_6656,k6_group_1(U_6656,U_6657,U_6654),k6_group_1(U_6656,U_6658,U_6655))
| k1_group_1(U_6656,U_6655,U_6654) != k1_group_1(U_6656,U_6654,U_6655)
| ~ m1_subset_1(U_6654,u1_struct_0(U_6656))
| ~ m1_subset_1(U_6655,u1_struct_0(U_6656))
| ~ l1_group_1(U_6656)
| ~ v4_group_1(U_6656)
| ~ v3_group_1(U_6656)
| v3_struct_0(U_6656)
| ~ v1_int_1(U_6657)
| ~ v1_int_1(U_6658) ),
inference(clausify,[status(thm)],[f_2544_3]) ).
fof(f_2545_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D))
| k1_group_1(C,D,E) != k1_group_1(C,E,D)
| ~ m1_subset_1(E,u1_struct_0(C)) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_group_1(C)
| ~ v4_group_1(C)
| ~ v3_group_1(C)
| v3_struct_0(C) )
| ~ v1_int_1(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t75_group_1]) ).
fof(f_2545_2,plain,
! [U_6663] :
( ! [U_6662] :
( ! [U_6661] :
( ! [U_6660] :
( ! [U_6659] :
( k1_group_1(U_6661,k6_group_1(U_6661,U_6663,U_6660),k6_group_1(U_6661,U_6662,U_6659)) = k1_group_1(U_6661,k6_group_1(U_6661,U_6662,U_6659),k6_group_1(U_6661,U_6663,U_6660))
| k1_group_1(U_6661,U_6660,U_6659) != k1_group_1(U_6661,U_6659,U_6660)
| ~ m1_subset_1(U_6659,u1_struct_0(U_6661)) )
| ~ m1_subset_1(U_6660,u1_struct_0(U_6661)) )
| ~ l1_group_1(U_6661)
| ~ v4_group_1(U_6661)
| ~ v3_group_1(U_6661)
| v3_struct_0(U_6661) )
| ~ v1_int_1(U_6662) )
| ~ m2_subset_1(U_6663,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2545_1]) ).
fof(f_2545_3,plain,
! [U_6662,U_6663,U_6659,U_6661,U_6660] :
( k1_group_1(U_6661,k6_group_1(U_6661,U_6663,U_6660),k6_group_1(U_6661,U_6662,U_6659)) = k1_group_1(U_6661,k6_group_1(U_6661,U_6662,U_6659),k6_group_1(U_6661,U_6663,U_6660))
| k1_group_1(U_6661,U_6660,U_6659) != k1_group_1(U_6661,U_6659,U_6660)
| ~ m1_subset_1(U_6659,u1_struct_0(U_6661))
| ~ m1_subset_1(U_6660,u1_struct_0(U_6661))
| ~ l1_group_1(U_6661)
| ~ v4_group_1(U_6661)
| ~ v3_group_1(U_6661)
| v3_struct_0(U_6661)
| ~ v1_int_1(U_6662)
| ~ m2_subset_1(U_6663,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2545_2]) ).
cnf(f_2545_4,plain,
( k1_group_1(U_6661,k6_group_1(U_6661,U_6663,U_6660),k6_group_1(U_6661,U_6662,U_6659)) = k1_group_1(U_6661,k6_group_1(U_6661,U_6662,U_6659),k6_group_1(U_6661,U_6663,U_6660))
| k1_group_1(U_6661,U_6660,U_6659) != k1_group_1(U_6661,U_6659,U_6660)
| ~ m1_subset_1(U_6659,u1_struct_0(U_6661))
| ~ m1_subset_1(U_6660,u1_struct_0(U_6661))
| ~ l1_group_1(U_6661)
| ~ v4_group_1(U_6661)
| ~ v3_group_1(U_6661)
| v3_struct_0(U_6661)
| ~ v1_int_1(U_6662)
| ~ m2_subset_1(U_6663,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2545_3]) ).
fof(f_2546_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t76_group_1]) ).
fof(f_2546_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2546_1]) ).
cnf(f_2546_3,plain,
$true,
inference(clausify,[status(thm)],[f_2546_2]) ).
fof(f_2547_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C)
| k1_group_1(B,C,D) != k1_group_1(B,D,C)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t77_group_1]) ).
fof(f_2547_2,plain,
! [U_6667] :
( ! [U_6666] :
( ! [U_6665] :
( ! [U_6664] :
( k1_group_1(U_6666,U_6665,k6_group_1(U_6666,U_6667,U_6664)) = k1_group_1(U_6666,k6_group_1(U_6666,U_6667,U_6664),U_6665)
| k1_group_1(U_6666,U_6665,U_6664) != k1_group_1(U_6666,U_6664,U_6665)
| ~ m1_subset_1(U_6664,u1_struct_0(U_6666)) )
| ~ m1_subset_1(U_6665,u1_struct_0(U_6666)) )
| ~ l1_group_1(U_6666)
| ~ v4_group_1(U_6666)
| ~ v3_group_1(U_6666)
| v3_struct_0(U_6666) )
| ~ v1_int_1(U_6667) ),
inference(variable_rename,[status(thm)],[f_2547_1]) ).
fof(f_2547_3,plain,
! [U_6664,U_6667,U_6665,U_6666] :
( k1_group_1(U_6666,U_6665,k6_group_1(U_6666,U_6667,U_6664)) = k1_group_1(U_6666,k6_group_1(U_6666,U_6667,U_6664),U_6665)
| k1_group_1(U_6666,U_6665,U_6664) != k1_group_1(U_6666,U_6664,U_6665)
| ~ m1_subset_1(U_6664,u1_struct_0(U_6666))
| ~ m1_subset_1(U_6665,u1_struct_0(U_6666))
| ~ l1_group_1(U_6666)
| ~ v4_group_1(U_6666)
| ~ v3_group_1(U_6666)
| v3_struct_0(U_6666)
| ~ v1_int_1(U_6667) ),
inference(definitional_conversion,[status(esa)],[f_2547_2]) ).
cnf(f_2547_4,plain,
( k1_group_1(U_6666,U_6665,k6_group_1(U_6666,U_6667,U_6664)) = k1_group_1(U_6666,k6_group_1(U_6666,U_6667,U_6664),U_6665)
| k1_group_1(U_6666,U_6665,U_6664) != k1_group_1(U_6666,U_6664,U_6665)
| ~ m1_subset_1(U_6664,u1_struct_0(U_6666))
| ~ m1_subset_1(U_6665,u1_struct_0(U_6666))
| ~ l1_group_1(U_6666)
| ~ v4_group_1(U_6666)
| ~ v3_group_1(U_6666)
| v3_struct_0(U_6666)
| ~ v1_int_1(U_6667) ),
inference(clausify,[status(thm)],[f_2547_3]) ).
fof(f_2548_1,plain,
! [A] :
( ! [B] :
( ( ( v5_group_1(B,A)
| ? [C] :
( C != np__0
& k6_group_1(A,C,B) = k2_group_1(A)
& m2_subset_1(C,k1_numbers,k5_numbers) ) )
& ( ! [C] :
( C = np__0
| k6_group_1(A,C,B) != k2_group_1(A)
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ v5_group_1(B,A) ) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d11_group_1]) ).
fof(f_2548_2,plain,
! [U_6671] :
( ! [U_6670] :
( ( ( v5_group_1(U_6670,U_6671)
| ? [U_6669] :
( U_6669 != np__0
& k6_group_1(U_6671,U_6669,U_6670) = k2_group_1(U_6671)
& m2_subset_1(U_6669,k1_numbers,k5_numbers) ) )
& ( ! [U_6668] :
( U_6668 = np__0
| k6_group_1(U_6671,U_6668,U_6670) != k2_group_1(U_6671)
| ~ m2_subset_1(U_6668,k1_numbers,k5_numbers) )
| ~ v5_group_1(U_6670,U_6671) ) )
| ~ m1_subset_1(U_6670,u1_struct_0(U_6671)) )
| ~ l1_group_1(U_6671)
| ~ v4_group_1(U_6671)
| ~ v3_group_1(U_6671)
| v3_struct_0(U_6671) ),
inference(variable_rename,[status(thm)],[f_2548_1]) ).
fof(f_2548_3,plain,
! [U_6671] :
( ! [U_6670] :
( ( ( v5_group_1(U_6670,U_6671)
| ( sK816(U_6671,U_6670) != np__0
& k6_group_1(U_6671,sK816(U_6671,U_6670),U_6670) = k2_group_1(U_6671)
& m2_subset_1(sK816(U_6671,U_6670),k1_numbers,k5_numbers) ) )
& ( ! [U_6668] :
( U_6668 = np__0
| k6_group_1(U_6671,U_6668,U_6670) != k2_group_1(U_6671)
| ~ m2_subset_1(U_6668,k1_numbers,k5_numbers) )
| ~ v5_group_1(U_6670,U_6671) ) )
| ~ m1_subset_1(U_6670,u1_struct_0(U_6671)) )
| ~ l1_group_1(U_6671)
| ~ v4_group_1(U_6671)
| ~ v3_group_1(U_6671)
| v3_struct_0(U_6671) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK816]),skolemize(U_6669,sK816(U_6671,U_6670))],[f_2548_2]) ).
fof(f_2548_4,plain,
( ! [U_6670,U_6671] :
( sK816(U_6671,U_6670) != np__0
| ~ sP1183(U_6670,U_6671) )
& ! [U_6670,U_6671] :
( k6_group_1(U_6671,sK816(U_6671,U_6670),U_6670) = k2_group_1(U_6671)
| ~ sP1183(U_6670,U_6671) )
& ! [U_6670,U_6671] :
( m2_subset_1(sK816(U_6671,U_6670),k1_numbers,k5_numbers)
| ~ sP1183(U_6670,U_6671) )
& ! [U_6668,U_6670,U_6671] :
( v5_group_1(U_6670,U_6671)
| sP1183(U_6670,U_6671)
| ~ sP1184(U_6668,U_6670,U_6671) )
& ! [U_6668,U_6670,U_6671] :
( U_6668 = np__0
| k6_group_1(U_6671,U_6668,U_6670) != k2_group_1(U_6671)
| ~ m2_subset_1(U_6668,k1_numbers,k5_numbers)
| ~ v5_group_1(U_6670,U_6671)
| ~ sP1184(U_6668,U_6670,U_6671) )
& ! [U_6668,U_6670,U_6671] :
( sP1184(U_6668,U_6670,U_6671)
| ~ m1_subset_1(U_6670,u1_struct_0(U_6671))
| ~ l1_group_1(U_6671)
| ~ v4_group_1(U_6671)
| ~ v3_group_1(U_6671)
| v3_struct_0(U_6671) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1183,sP1184])],[f_2548_3]) ).
cnf(f_2548_5,plain,
( sP1184(U_6668,U_6670,U_6671)
| ~ m1_subset_1(U_6670,u1_struct_0(U_6671))
| ~ l1_group_1(U_6671)
| ~ v4_group_1(U_6671)
| ~ v3_group_1(U_6671)
| v3_struct_0(U_6671) ),
inference(clausify,[status(thm)],[f_2548_4]) ).
cnf(f_2548_6,plain,
( U_6668 = np__0
| k6_group_1(U_6671,U_6668,U_6670) != k2_group_1(U_6671)
| ~ m2_subset_1(U_6668,k1_numbers,k5_numbers)
| ~ v5_group_1(U_6670,U_6671)
| ~ sP1184(U_6668,U_6670,U_6671) ),
inference(clausify,[status(thm)],[f_2548_4]) ).
cnf(f_2548_7,plain,
( v5_group_1(U_6670,U_6671)
| sP1183(U_6670,U_6671)
| ~ sP1184(U_6668,U_6670,U_6671) ),
inference(clausify,[status(thm)],[f_2548_4]) ).
cnf(f_2548_8,plain,
( m2_subset_1(sK816(U_6671,U_6670),k1_numbers,k5_numbers)
| ~ sP1183(U_6670,U_6671) ),
inference(clausify,[status(thm)],[f_2548_4]) ).
cnf(f_2548_9,plain,
( k6_group_1(U_6671,sK816(U_6671,U_6670),U_6670) = k2_group_1(U_6671)
| ~ sP1183(U_6670,U_6671) ),
inference(clausify,[status(thm)],[f_2548_4]) ).
cnf(f_2548_10,plain,
( sK816(U_6671,U_6670) != np__0
| ~ sP1183(U_6670,U_6671) ),
inference(clausify,[status(thm)],[f_2548_4]) ).
fof(f_2549_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t78_group_1]) ).
fof(f_2549_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2549_1]) ).
cnf(f_2549_3,plain,
$true,
inference(clausify,[status(thm)],[f_2549_2]) ).
fof(f_2550_1,plain,
! [A] :
( ~ v5_group_1(k2_group_1(A),A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t79_group_1]) ).
fof(f_2550_2,plain,
! [U_6672] :
( ~ v5_group_1(k2_group_1(U_6672),U_6672)
| ~ l1_group_1(U_6672)
| ~ v4_group_1(U_6672)
| ~ v3_group_1(U_6672)
| v3_struct_0(U_6672) ),
inference(variable_rename,[status(thm)],[f_2550_1]) ).
fof(f_2550_3,plain,
! [U_6672] :
( ~ v5_group_1(k2_group_1(U_6672),U_6672)
| ~ l1_group_1(U_6672)
| ~ v4_group_1(U_6672)
| ~ v3_group_1(U_6672)
| v3_struct_0(U_6672) ),
inference(definitional_conversion,[status(esa)],[f_2550_2]) ).
cnf(f_2550_4,plain,
( ~ v5_group_1(k2_group_1(U_6672),U_6672)
| ~ l1_group_1(U_6672)
| ~ v4_group_1(U_6672)
| ~ v3_group_1(U_6672)
| v3_struct_0(U_6672) ),
inference(clausify,[status(thm)],[f_2550_3]) ).
fof(f_2551_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ( ( C = k7_group_1(A,B)
| ? [D] :
( ~ r1_xreal_0(C,D)
& D != np__0
& k6_group_1(A,D,B) = k2_group_1(A)
& m2_subset_1(D,k1_numbers,k5_numbers) )
| C = np__0
| k6_group_1(A,C,B) != k2_group_1(A) )
& ( ( ! [D] :
( r1_xreal_0(C,D)
| D = np__0
| k6_group_1(A,D,B) != k2_group_1(A)
| ~ m2_subset_1(D,k1_numbers,k5_numbers) )
& C != np__0
& k6_group_1(A,C,B) = k2_group_1(A) )
| C != k7_group_1(A,B) ) )
| v5_group_1(B,A) )
& ( ( ( C = k7_group_1(A,B)
| C != np__0 )
& ( C = np__0
| C != k7_group_1(A,B) ) )
| ~ v5_group_1(B,A) ) )
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d12_group_1]) ).
fof(f_2551_2,plain,
! [U_6677] :
( ! [U_6676] :
( ! [U_6675] :
( ( ( ( ( U_6675 = k7_group_1(U_6677,U_6676)
| ? [U_6674] :
( ~ r1_xreal_0(U_6675,U_6674)
& U_6674 != np__0
& k6_group_1(U_6677,U_6674,U_6676) = k2_group_1(U_6677)
& m2_subset_1(U_6674,k1_numbers,k5_numbers) )
| U_6675 = np__0
| k6_group_1(U_6677,U_6675,U_6676) != k2_group_1(U_6677) )
& ( ( ! [U_6673] :
( r1_xreal_0(U_6675,U_6673)
| U_6673 = np__0
| k6_group_1(U_6677,U_6673,U_6676) != k2_group_1(U_6677)
| ~ m2_subset_1(U_6673,k1_numbers,k5_numbers) )
& U_6675 != np__0
& k6_group_1(U_6677,U_6675,U_6676) = k2_group_1(U_6677) )
| U_6675 != k7_group_1(U_6677,U_6676) ) )
| v5_group_1(U_6676,U_6677) )
& ( ( ( U_6675 = k7_group_1(U_6677,U_6676)
| U_6675 != np__0 )
& ( U_6675 = np__0
| U_6675 != k7_group_1(U_6677,U_6676) ) )
| ~ v5_group_1(U_6676,U_6677) ) )
| ~ m2_subset_1(U_6675,k1_numbers,k5_numbers) )
| ~ m1_subset_1(U_6676,u1_struct_0(U_6677)) )
| ~ l1_group_1(U_6677)
| ~ v4_group_1(U_6677)
| ~ v3_group_1(U_6677)
| v3_struct_0(U_6677) ),
inference(variable_rename,[status(thm)],[f_2551_1]) ).
fof(f_2551_3,plain,
! [U_6677] :
( ! [U_6676] :
( ! [U_6675] :
( ( ( ( ( U_6675 = k7_group_1(U_6677,U_6676)
| ( ~ r1_xreal_0(U_6675,sK817(U_6677,U_6676,U_6675))
& sK817(U_6677,U_6676,U_6675) != np__0
& k6_group_1(U_6677,sK817(U_6677,U_6676,U_6675),U_6676) = k2_group_1(U_6677)
& m2_subset_1(sK817(U_6677,U_6676,U_6675),k1_numbers,k5_numbers) )
| U_6675 = np__0
| k6_group_1(U_6677,U_6675,U_6676) != k2_group_1(U_6677) )
& ( ( ! [U_6673] :
( r1_xreal_0(U_6675,U_6673)
| U_6673 = np__0
| k6_group_1(U_6677,U_6673,U_6676) != k2_group_1(U_6677)
| ~ m2_subset_1(U_6673,k1_numbers,k5_numbers) )
& U_6675 != np__0
& k6_group_1(U_6677,U_6675,U_6676) = k2_group_1(U_6677) )
| U_6675 != k7_group_1(U_6677,U_6676) ) )
| v5_group_1(U_6676,U_6677) )
& ( ( ( U_6675 = k7_group_1(U_6677,U_6676)
| U_6675 != np__0 )
& ( U_6675 = np__0
| U_6675 != k7_group_1(U_6677,U_6676) ) )
| ~ v5_group_1(U_6676,U_6677) ) )
| ~ m2_subset_1(U_6675,k1_numbers,k5_numbers) )
| ~ m1_subset_1(U_6676,u1_struct_0(U_6677)) )
| ~ l1_group_1(U_6677)
| ~ v4_group_1(U_6677)
| ~ v3_group_1(U_6677)
| v3_struct_0(U_6677) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK817]),skolemize(U_6674,sK817(U_6677,U_6676,U_6675))],[f_2551_2]) ).
fof(f_2551_4,plain,
( ! [U_6677,U_6675,U_6676] :
( ~ r1_xreal_0(U_6675,sK817(U_6677,U_6676,U_6675))
| ~ sP1187(U_6677,U_6675,U_6676) )
& ! [U_6677,U_6675,U_6676] :
( sK817(U_6677,U_6676,U_6675) != np__0
| ~ sP1187(U_6677,U_6675,U_6676) )
& ! [U_6677,U_6675,U_6676] :
( k6_group_1(U_6677,sK817(U_6677,U_6676,U_6675),U_6676) = k2_group_1(U_6677)
| ~ sP1187(U_6677,U_6675,U_6676) )
& ! [U_6677,U_6675,U_6676] :
( m2_subset_1(sK817(U_6677,U_6676,U_6675),k1_numbers,k5_numbers)
| ~ sP1187(U_6677,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( r1_xreal_0(U_6675,U_6673)
| U_6673 = np__0
| k6_group_1(U_6677,U_6673,U_6676) != k2_group_1(U_6677)
| ~ m2_subset_1(U_6673,k1_numbers,k5_numbers)
| ~ sP1186(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( U_6675 != np__0
| ~ sP1186(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( k6_group_1(U_6677,U_6675,U_6676) = k2_group_1(U_6677)
| ~ sP1186(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( U_6675 = k7_group_1(U_6677,U_6676)
| sP1187(U_6677,U_6675,U_6676)
| U_6675 = np__0
| k6_group_1(U_6677,U_6675,U_6676) != k2_group_1(U_6677)
| ~ sP1188(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( sP1186(U_6677,U_6673,U_6675,U_6676)
| U_6675 != k7_group_1(U_6677,U_6676)
| ~ sP1188(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6675,U_6676] :
( U_6675 = k7_group_1(U_6677,U_6676)
| U_6675 != np__0
| ~ sP1185(U_6677,U_6675,U_6676) )
& ! [U_6677,U_6675,U_6676] :
( U_6675 = np__0
| U_6675 != k7_group_1(U_6677,U_6676)
| ~ sP1185(U_6677,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( sP1188(U_6677,U_6673,U_6675,U_6676)
| v5_group_1(U_6676,U_6677)
| ~ sP1189(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( sP1185(U_6677,U_6675,U_6676)
| ~ v5_group_1(U_6676,U_6677)
| ~ sP1189(U_6677,U_6673,U_6675,U_6676) )
& ! [U_6677,U_6673,U_6675,U_6676] :
( sP1189(U_6677,U_6673,U_6675,U_6676)
| ~ m2_subset_1(U_6675,k1_numbers,k5_numbers)
| ~ m1_subset_1(U_6676,u1_struct_0(U_6677))
| ~ l1_group_1(U_6677)
| ~ v4_group_1(U_6677)
| ~ v3_group_1(U_6677)
| v3_struct_0(U_6677) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1185,sP1186,sP1187,sP1188,sP1189])],[f_2551_3]) ).
cnf(f_2551_5,plain,
( sP1189(U_6677,U_6673,U_6675,U_6676)
| ~ m2_subset_1(U_6675,k1_numbers,k5_numbers)
| ~ m1_subset_1(U_6676,u1_struct_0(U_6677))
| ~ l1_group_1(U_6677)
| ~ v4_group_1(U_6677)
| ~ v3_group_1(U_6677)
| v3_struct_0(U_6677) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_6,plain,
( sP1185(U_6677,U_6675,U_6676)
| ~ v5_group_1(U_6676,U_6677)
| ~ sP1189(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_7,plain,
( sP1188(U_6677,U_6673,U_6675,U_6676)
| v5_group_1(U_6676,U_6677)
| ~ sP1189(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_8,plain,
( U_6675 = np__0
| U_6675 != k7_group_1(U_6677,U_6676)
| ~ sP1185(U_6677,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_9,plain,
( U_6675 = k7_group_1(U_6677,U_6676)
| U_6675 != np__0
| ~ sP1185(U_6677,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_10,plain,
( sP1186(U_6677,U_6673,U_6675,U_6676)
| U_6675 != k7_group_1(U_6677,U_6676)
| ~ sP1188(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_11,plain,
( U_6675 = k7_group_1(U_6677,U_6676)
| sP1187(U_6677,U_6675,U_6676)
| U_6675 = np__0
| k6_group_1(U_6677,U_6675,U_6676) != k2_group_1(U_6677)
| ~ sP1188(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_12,plain,
( k6_group_1(U_6677,U_6675,U_6676) = k2_group_1(U_6677)
| ~ sP1186(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_13,plain,
( U_6675 != np__0
| ~ sP1186(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_14,plain,
( r1_xreal_0(U_6675,U_6673)
| U_6673 = np__0
| k6_group_1(U_6677,U_6673,U_6676) != k2_group_1(U_6677)
| ~ m2_subset_1(U_6673,k1_numbers,k5_numbers)
| ~ sP1186(U_6677,U_6673,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_15,plain,
( m2_subset_1(sK817(U_6677,U_6676,U_6675),k1_numbers,k5_numbers)
| ~ sP1187(U_6677,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_16,plain,
( k6_group_1(U_6677,sK817(U_6677,U_6676,U_6675),U_6676) = k2_group_1(U_6677)
| ~ sP1187(U_6677,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_17,plain,
( sK817(U_6677,U_6676,U_6675) != np__0
| ~ sP1187(U_6677,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
cnf(f_2551_18,plain,
( ~ r1_xreal_0(U_6675,sK817(U_6677,U_6676,U_6675))
| ~ sP1187(U_6677,U_6675,U_6676) ),
inference(clausify,[status(thm)],[f_2551_4]) ).
fof(f_2552_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t80_group_1]) ).
fof(f_2552_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2552_1]) ).
cnf(f_2552_3,plain,
$true,
inference(clausify,[status(thm)],[f_2552_2]) ).
fof(f_2553_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t81_group_1]) ).
fof(f_2553_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2553_1]) ).
cnf(f_2553_3,plain,
$true,
inference(clausify,[status(thm)],[f_2553_2]) ).
fof(f_2554_1,plain,
! [A] :
( ! [B] :
( k6_group_1(A,k7_group_1(A,B),B) = k2_group_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t82_group_1]) ).
fof(f_2554_2,plain,
! [U_6679] :
( ! [U_6678] :
( k6_group_1(U_6679,k7_group_1(U_6679,U_6678),U_6678) = k2_group_1(U_6679)
| ~ m1_subset_1(U_6678,u1_struct_0(U_6679)) )
| ~ l1_group_1(U_6679)
| ~ v4_group_1(U_6679)
| ~ v3_group_1(U_6679)
| v3_struct_0(U_6679) ),
inference(variable_rename,[status(thm)],[f_2554_1]) ).
fof(f_2554_3,plain,
! [U_6678,U_6679] :
( k6_group_1(U_6679,k7_group_1(U_6679,U_6678),U_6678) = k2_group_1(U_6679)
| ~ m1_subset_1(U_6678,u1_struct_0(U_6679))
| ~ l1_group_1(U_6679)
| ~ v4_group_1(U_6679)
| ~ v3_group_1(U_6679)
| v3_struct_0(U_6679) ),
inference(definitional_conversion,[status(esa)],[f_2554_2]) ).
cnf(f_2554_4,plain,
( k6_group_1(U_6679,k7_group_1(U_6679,U_6678),U_6678) = k2_group_1(U_6679)
| ~ m1_subset_1(U_6678,u1_struct_0(U_6679))
| ~ l1_group_1(U_6679)
| ~ v4_group_1(U_6679)
| ~ v3_group_1(U_6679)
| v3_struct_0(U_6679) ),
inference(clausify,[status(thm)],[f_2554_3]) ).
fof(f_2555_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t83_group_1]) ).
fof(f_2555_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2555_1]) ).
cnf(f_2555_3,plain,
$true,
inference(clausify,[status(thm)],[f_2555_2]) ).
fof(f_2556_1,plain,
! [A] :
( k7_group_1(A,k2_group_1(A)) = np__1
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t84_group_1]) ).
fof(f_2556_2,plain,
! [U_6680] :
( k7_group_1(U_6680,k2_group_1(U_6680)) = np__1
| ~ l1_group_1(U_6680)
| ~ v4_group_1(U_6680)
| ~ v3_group_1(U_6680)
| v3_struct_0(U_6680) ),
inference(variable_rename,[status(thm)],[f_2556_1]) ).
fof(f_2556_3,plain,
! [U_6680] :
( k7_group_1(U_6680,k2_group_1(U_6680)) = np__1
| ~ l1_group_1(U_6680)
| ~ v4_group_1(U_6680)
| ~ v3_group_1(U_6680)
| v3_struct_0(U_6680) ),
inference(definitional_conversion,[status(esa)],[f_2556_2]) ).
cnf(f_2556_4,plain,
( k7_group_1(U_6680,k2_group_1(U_6680)) = np__1
| ~ l1_group_1(U_6680)
| ~ v4_group_1(U_6680)
| ~ v3_group_1(U_6680)
| v3_struct_0(U_6680) ),
inference(clausify,[status(thm)],[f_2556_3]) ).
fof(f_2557_1,plain,
! [A] :
( ! [B] :
( B = k2_group_1(A)
| k7_group_1(A,B) != np__1
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t85_group_1]) ).
fof(f_2557_2,plain,
! [U_6682] :
( ! [U_6681] :
( U_6681 = k2_group_1(U_6682)
| k7_group_1(U_6682,U_6681) != np__1
| ~ m1_subset_1(U_6681,u1_struct_0(U_6682)) )
| ~ l1_group_1(U_6682)
| ~ v4_group_1(U_6682)
| ~ v3_group_1(U_6682)
| v3_struct_0(U_6682) ),
inference(variable_rename,[status(thm)],[f_2557_1]) ).
fof(f_2557_3,plain,
! [U_6682,U_6681] :
( U_6681 = k2_group_1(U_6682)
| k7_group_1(U_6682,U_6681) != np__1
| ~ m1_subset_1(U_6681,u1_struct_0(U_6682))
| ~ l1_group_1(U_6682)
| ~ v4_group_1(U_6682)
| ~ v3_group_1(U_6682)
| v3_struct_0(U_6682) ),
inference(definitional_conversion,[status(esa)],[f_2557_2]) ).
cnf(f_2557_4,plain,
( U_6681 = k2_group_1(U_6682)
| k7_group_1(U_6682,U_6681) != np__1
| ~ m1_subset_1(U_6681,u1_struct_0(U_6682))
| ~ l1_group_1(U_6682)
| ~ v4_group_1(U_6682)
| ~ v3_group_1(U_6682)
| v3_struct_0(U_6682) ),
inference(clausify,[status(thm)],[f_2557_3]) ).
fof(f_2558_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_nat_1(k7_group_1(B,C),A)
| k6_group_1(B,A,C) != k2_group_1(B)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t86_group_1]) ).
fof(f_2558_2,plain,
! [U_6685] :
( ! [U_6684] :
( ! [U_6683] :
( r1_nat_1(k7_group_1(U_6684,U_6683),U_6685)
| k6_group_1(U_6684,U_6685,U_6683) != k2_group_1(U_6684)
| ~ m1_subset_1(U_6683,u1_struct_0(U_6684)) )
| ~ l1_group_1(U_6684)
| ~ v4_group_1(U_6684)
| ~ v3_group_1(U_6684)
| v3_struct_0(U_6684) )
| ~ m2_subset_1(U_6685,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2558_1]) ).
fof(f_2558_3,plain,
! [U_6685,U_6684,U_6683] :
( r1_nat_1(k7_group_1(U_6684,U_6683),U_6685)
| k6_group_1(U_6684,U_6685,U_6683) != k2_group_1(U_6684)
| ~ m1_subset_1(U_6683,u1_struct_0(U_6684))
| ~ l1_group_1(U_6684)
| ~ v4_group_1(U_6684)
| ~ v3_group_1(U_6684)
| v3_struct_0(U_6684)
| ~ m2_subset_1(U_6685,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2558_2]) ).
cnf(f_2558_4,plain,
( r1_nat_1(k7_group_1(U_6684,U_6683),U_6685)
| k6_group_1(U_6684,U_6685,U_6683) != k2_group_1(U_6684)
| ~ m1_subset_1(U_6683,u1_struct_0(U_6684))
| ~ l1_group_1(U_6684)
| ~ v4_group_1(U_6684)
| ~ v3_group_1(U_6684)
| v3_struct_0(U_6684)
| ~ m2_subset_1(U_6685,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2558_3]) ).
fof(f_2559_1,plain,
! [A] :
( k8_group_1(A) = k1_card_1(u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d13_group_1]) ).
fof(f_2559_2,plain,
! [U_6686] :
( k8_group_1(U_6686) = k1_card_1(u1_struct_0(U_6686))
| ~ l1_group_1(U_6686)
| ~ v4_group_1(U_6686)
| ~ v3_group_1(U_6686)
| v3_struct_0(U_6686) ),
inference(variable_rename,[status(thm)],[f_2559_1]) ).
fof(f_2559_3,plain,
! [U_6686] :
( k8_group_1(U_6686) = k1_card_1(u1_struct_0(U_6686))
| ~ l1_group_1(U_6686)
| ~ v4_group_1(U_6686)
| ~ v3_group_1(U_6686)
| v3_struct_0(U_6686) ),
inference(definitional_conversion,[status(esa)],[f_2559_2]) ).
cnf(f_2559_4,plain,
( k8_group_1(U_6686) = k1_card_1(u1_struct_0(U_6686))
| ~ l1_group_1(U_6686)
| ~ v4_group_1(U_6686)
| ~ v3_group_1(U_6686)
| v3_struct_0(U_6686) ),
inference(clausify,[status(thm)],[f_2559_3]) ).
fof(f_2560_1,plain,
! [A] :
( ( ( v6_group_1(A)
| ~ v1_finset_1(u1_struct_0(A)) )
& ( v1_finset_1(u1_struct_0(A))
| ~ v6_group_1(A) ) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d14_group_1]) ).
fof(f_2560_2,plain,
! [U_6687] :
( ( ( v6_group_1(U_6687)
| ~ v1_finset_1(u1_struct_0(U_6687)) )
& ( v1_finset_1(u1_struct_0(U_6687))
| ~ v6_group_1(U_6687) ) )
| ~ l1_struct_0(U_6687) ),
inference(variable_rename,[status(thm)],[f_2560_1]) ).
fof(f_2560_3,plain,
( ! [U_6687] :
( v6_group_1(U_6687)
| ~ v1_finset_1(u1_struct_0(U_6687))
| ~ sP1190(U_6687) )
& ! [U_6687] :
( v1_finset_1(u1_struct_0(U_6687))
| ~ v6_group_1(U_6687)
| ~ sP1190(U_6687) )
& ! [U_6687] :
( sP1190(U_6687)
| ~ l1_struct_0(U_6687) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1190])],[f_2560_2]) ).
cnf(f_2560_4,plain,
( sP1190(U_6687)
| ~ l1_struct_0(U_6687) ),
inference(clausify,[status(thm)],[f_2560_3]) ).
cnf(f_2560_5,plain,
( v1_finset_1(u1_struct_0(U_6687))
| ~ v6_group_1(U_6687)
| ~ sP1190(U_6687) ),
inference(clausify,[status(thm)],[f_2560_3]) ).
cnf(f_2560_6,plain,
( v6_group_1(U_6687)
| ~ v1_finset_1(u1_struct_0(U_6687))
| ~ sP1190(U_6687) ),
inference(clausify,[status(thm)],[f_2560_3]) ).
fof(f_2561_1,plain,
! [A] :
( ! [B] :
( ( ( B = k9_group_1(A)
| ! [C] :
( B != k4_card_1(C)
| C != u1_struct_0(A)
| ~ v1_finset_1(C) ) )
& ( ? [C] :
( B = k4_card_1(C)
& C = u1_struct_0(A)
& v1_finset_1(C) )
| B != k9_group_1(A) ) )
| ~ m2_subset_1(B,k1_numbers,k5_numbers) )
| ~ v6_group_1(A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d15_group_1]) ).
fof(f_2561_2,plain,
! [U_6691] :
( ! [U_6690] :
( ( ( U_6690 = k9_group_1(U_6691)
| ! [U_6689] :
( U_6690 != k4_card_1(U_6689)
| U_6689 != u1_struct_0(U_6691)
| ~ v1_finset_1(U_6689) ) )
& ( ? [U_6688] :
( U_6690 = k4_card_1(U_6688)
& U_6688 = u1_struct_0(U_6691)
& v1_finset_1(U_6688) )
| U_6690 != k9_group_1(U_6691) ) )
| ~ m2_subset_1(U_6690,k1_numbers,k5_numbers) )
| ~ v6_group_1(U_6691)
| ~ l1_group_1(U_6691)
| ~ v4_group_1(U_6691)
| ~ v3_group_1(U_6691)
| v3_struct_0(U_6691) ),
inference(variable_rename,[status(thm)],[f_2561_1]) ).
fof(f_2561_3,plain,
! [U_6691] :
( ! [U_6690] :
( ( ( U_6690 = k9_group_1(U_6691)
| ! [U_6689] :
( U_6690 != k4_card_1(U_6689)
| U_6689 != u1_struct_0(U_6691)
| ~ v1_finset_1(U_6689) ) )
& ( ( U_6690 = k4_card_1(sK818(U_6691,U_6690))
& sK818(U_6691,U_6690) = u1_struct_0(U_6691)
& v1_finset_1(sK818(U_6691,U_6690)) )
| U_6690 != k9_group_1(U_6691) ) )
| ~ m2_subset_1(U_6690,k1_numbers,k5_numbers) )
| ~ v6_group_1(U_6691)
| ~ l1_group_1(U_6691)
| ~ v4_group_1(U_6691)
| ~ v3_group_1(U_6691)
| v3_struct_0(U_6691) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK818]),skolemize(U_6688,sK818(U_6691,U_6690))],[f_2561_2]) ).
fof(f_2561_4,plain,
( ! [U_6691,U_6690] :
( U_6690 = k4_card_1(sK818(U_6691,U_6690))
| ~ sP1191(U_6691,U_6690) )
& ! [U_6691,U_6690] :
( sK818(U_6691,U_6690) = u1_struct_0(U_6691)
| ~ sP1191(U_6691,U_6690) )
& ! [U_6691,U_6690] :
( v1_finset_1(sK818(U_6691,U_6690))
| ~ sP1191(U_6691,U_6690) )
& ! [U_6691,U_6690,U_6689] :
( U_6690 = k9_group_1(U_6691)
| U_6690 != k4_card_1(U_6689)
| U_6689 != u1_struct_0(U_6691)
| ~ v1_finset_1(U_6689)
| ~ sP1192(U_6691,U_6690,U_6689) )
& ! [U_6691,U_6690,U_6689] :
( sP1191(U_6691,U_6690)
| U_6690 != k9_group_1(U_6691)
| ~ sP1192(U_6691,U_6690,U_6689) )
& ! [U_6691,U_6690,U_6689] :
( sP1192(U_6691,U_6690,U_6689)
| ~ m2_subset_1(U_6690,k1_numbers,k5_numbers)
| ~ v6_group_1(U_6691)
| ~ l1_group_1(U_6691)
| ~ v4_group_1(U_6691)
| ~ v3_group_1(U_6691)
| v3_struct_0(U_6691) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1191,sP1192])],[f_2561_3]) ).
cnf(f_2561_5,plain,
( sP1192(U_6691,U_6690,U_6689)
| ~ m2_subset_1(U_6690,k1_numbers,k5_numbers)
| ~ v6_group_1(U_6691)
| ~ l1_group_1(U_6691)
| ~ v4_group_1(U_6691)
| ~ v3_group_1(U_6691)
| v3_struct_0(U_6691) ),
inference(clausify,[status(thm)],[f_2561_4]) ).
cnf(f_2561_6,plain,
( sP1191(U_6691,U_6690)
| U_6690 != k9_group_1(U_6691)
| ~ sP1192(U_6691,U_6690,U_6689) ),
inference(clausify,[status(thm)],[f_2561_4]) ).
cnf(f_2561_7,plain,
( U_6690 = k9_group_1(U_6691)
| U_6690 != k4_card_1(U_6689)
| U_6689 != u1_struct_0(U_6691)
| ~ v1_finset_1(U_6689)
| ~ sP1192(U_6691,U_6690,U_6689) ),
inference(clausify,[status(thm)],[f_2561_4]) ).
cnf(f_2561_8,plain,
( v1_finset_1(sK818(U_6691,U_6690))
| ~ sP1191(U_6691,U_6690) ),
inference(clausify,[status(thm)],[f_2561_4]) ).
cnf(f_2561_9,plain,
( sK818(U_6691,U_6690) = u1_struct_0(U_6691)
| ~ sP1191(U_6691,U_6690) ),
inference(clausify,[status(thm)],[f_2561_4]) ).
cnf(f_2561_10,plain,
( U_6690 = k4_card_1(sK818(U_6691,U_6690))
| ~ sP1191(U_6691,U_6690) ),
inference(clausify,[status(thm)],[f_2561_4]) ).
fof(f_2562_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t87_group_1]) ).
fof(f_2562_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2562_1]) ).
cnf(f_2562_3,plain,
$true,
inference(clausify,[status(thm)],[f_2562_2]) ).
fof(f_2563_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t88_group_1]) ).
fof(f_2563_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2563_1]) ).
cnf(f_2563_3,plain,
$true,
inference(clausify,[status(thm)],[f_2563_2]) ).
fof(f_2564_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t89_group_1]) ).
fof(f_2564_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2564_1]) ).
cnf(f_2564_3,plain,
$true,
inference(clausify,[status(thm)],[f_2564_2]) ).
fof(f_2565_1,plain,
! [A] :
( r1_xreal_0(np__1,k9_group_1(A))
| ~ v6_group_1(A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t90_group_1]) ).
fof(f_2565_2,plain,
! [U_6692] :
( r1_xreal_0(np__1,k9_group_1(U_6692))
| ~ v6_group_1(U_6692)
| ~ l1_group_1(U_6692)
| ~ v4_group_1(U_6692)
| ~ v3_group_1(U_6692)
| v3_struct_0(U_6692) ),
inference(variable_rename,[status(thm)],[f_2565_1]) ).
fof(f_2565_3,plain,
! [U_6692] :
( r1_xreal_0(np__1,k9_group_1(U_6692))
| ~ v6_group_1(U_6692)
| ~ l1_group_1(U_6692)
| ~ v4_group_1(U_6692)
| ~ v3_group_1(U_6692)
| v3_struct_0(U_6692) ),
inference(definitional_conversion,[status(esa)],[f_2565_2]) ).
cnf(f_2565_4,plain,
( r1_xreal_0(np__1,k9_group_1(U_6692))
| ~ v6_group_1(U_6692)
| ~ l1_group_1(U_6692)
| ~ v4_group_1(U_6692)
| ~ v3_group_1(U_6692)
| v3_struct_0(U_6692) ),
inference(clausify,[status(thm)],[f_2565_3]) ).
fof(f_2566_1,plain,
! [A] :
( ( ( v7_group_1(A)
| ? [B] :
( ? [C] :
( k1_group_1(A,B,C) != k1_group_1(A,C,B)
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( k1_group_1(A,B,C) = k1_group_1(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v7_group_1(A) ) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d16_group_1]) ).
fof(f_2566_2,plain,
! [U_6697] :
( ( ( v7_group_1(U_6697)
| ? [U_6696] :
( ? [U_6695] :
( k1_group_1(U_6697,U_6696,U_6695) != k1_group_1(U_6697,U_6695,U_6696)
& m1_subset_1(U_6695,u1_struct_0(U_6697)) )
& m1_subset_1(U_6696,u1_struct_0(U_6697)) ) )
& ( ! [U_6694] :
( ! [U_6693] :
( k1_group_1(U_6697,U_6694,U_6693) = k1_group_1(U_6697,U_6693,U_6694)
| ~ m1_subset_1(U_6693,u1_struct_0(U_6697)) )
| ~ m1_subset_1(U_6694,u1_struct_0(U_6697)) )
| ~ v7_group_1(U_6697) ) )
| ~ l1_group_1(U_6697)
| v3_struct_0(U_6697) ),
inference(variable_rename,[status(thm)],[f_2566_1]) ).
fof(f_2566_3,plain,
! [U_6697] :
( ( ( v7_group_1(U_6697)
| ( ? [U_6695] :
( k1_group_1(U_6697,sK819(U_6697),U_6695) != k1_group_1(U_6697,U_6695,sK819(U_6697))
& m1_subset_1(U_6695,u1_struct_0(U_6697)) )
& m1_subset_1(sK819(U_6697),u1_struct_0(U_6697)) ) )
& ( ! [U_6694] :
( ! [U_6693] :
( k1_group_1(U_6697,U_6694,U_6693) = k1_group_1(U_6697,U_6693,U_6694)
| ~ m1_subset_1(U_6693,u1_struct_0(U_6697)) )
| ~ m1_subset_1(U_6694,u1_struct_0(U_6697)) )
| ~ v7_group_1(U_6697) ) )
| ~ l1_group_1(U_6697)
| v3_struct_0(U_6697) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK819]),skolemize(U_6696,sK819(U_6697))],[f_2566_2]) ).
fof(f_2566_4,plain,
! [U_6697] :
( ( ( v7_group_1(U_6697)
| ( k1_group_1(U_6697,sK819(U_6697),sK820(U_6697)) != k1_group_1(U_6697,sK820(U_6697),sK819(U_6697))
& m1_subset_1(sK820(U_6697),u1_struct_0(U_6697))
& m1_subset_1(sK819(U_6697),u1_struct_0(U_6697)) ) )
& ( ! [U_6694] :
( ! [U_6693] :
( k1_group_1(U_6697,U_6694,U_6693) = k1_group_1(U_6697,U_6693,U_6694)
| ~ m1_subset_1(U_6693,u1_struct_0(U_6697)) )
| ~ m1_subset_1(U_6694,u1_struct_0(U_6697)) )
| ~ v7_group_1(U_6697) ) )
| ~ l1_group_1(U_6697)
| v3_struct_0(U_6697) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK820]),skolemize(U_6695,sK820(U_6697))],[f_2566_3]) ).
fof(f_2566_5,plain,
( ! [U_6697] :
( k1_group_1(U_6697,sK819(U_6697),sK820(U_6697)) != k1_group_1(U_6697,sK820(U_6697),sK819(U_6697))
| ~ sP1193(U_6697) )
& ! [U_6697] :
( m1_subset_1(sK820(U_6697),u1_struct_0(U_6697))
| ~ sP1193(U_6697) )
& ! [U_6697] :
( m1_subset_1(sK819(U_6697),u1_struct_0(U_6697))
| ~ sP1193(U_6697) )
& ! [U_6697,U_6694,U_6693] :
( v7_group_1(U_6697)
| sP1193(U_6697)
| ~ sP1194(U_6697,U_6694,U_6693) )
& ! [U_6697,U_6694,U_6693] :
( k1_group_1(U_6697,U_6694,U_6693) = k1_group_1(U_6697,U_6693,U_6694)
| ~ m1_subset_1(U_6693,u1_struct_0(U_6697))
| ~ m1_subset_1(U_6694,u1_struct_0(U_6697))
| ~ v7_group_1(U_6697)
| ~ sP1194(U_6697,U_6694,U_6693) )
& ! [U_6697,U_6694,U_6693] :
( sP1194(U_6697,U_6694,U_6693)
| ~ l1_group_1(U_6697)
| v3_struct_0(U_6697) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1193,sP1194])],[f_2566_4]) ).
cnf(f_2566_6,plain,
( sP1194(U_6697,U_6694,U_6693)
| ~ l1_group_1(U_6697)
| v3_struct_0(U_6697) ),
inference(clausify,[status(thm)],[f_2566_5]) ).
cnf(f_2566_7,plain,
( k1_group_1(U_6697,U_6694,U_6693) = k1_group_1(U_6697,U_6693,U_6694)
| ~ m1_subset_1(U_6693,u1_struct_0(U_6697))
| ~ m1_subset_1(U_6694,u1_struct_0(U_6697))
| ~ v7_group_1(U_6697)
| ~ sP1194(U_6697,U_6694,U_6693) ),
inference(clausify,[status(thm)],[f_2566_5]) ).
cnf(f_2566_8,plain,
( v7_group_1(U_6697)
| sP1193(U_6697)
| ~ sP1194(U_6697,U_6694,U_6693) ),
inference(clausify,[status(thm)],[f_2566_5]) ).
cnf(f_2566_9,plain,
( m1_subset_1(sK819(U_6697),u1_struct_0(U_6697))
| ~ sP1193(U_6697) ),
inference(clausify,[status(thm)],[f_2566_5]) ).
cnf(f_2566_10,plain,
( m1_subset_1(sK820(U_6697),u1_struct_0(U_6697))
| ~ sP1193(U_6697) ),
inference(clausify,[status(thm)],[f_2566_5]) ).
cnf(f_2566_11,plain,
( k1_group_1(U_6697,sK819(U_6697),sK820(U_6697)) != k1_group_1(U_6697,sK820(U_6697),sK819(U_6697))
| ~ sP1193(U_6697) ),
inference(clausify,[status(thm)],[f_2566_5]) ).
fof(f_2567_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t91_group_1]) ).
fof(f_2567_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2567_1]) ).
cnf(f_2567_3,plain,
$true,
inference(clausify,[status(thm)],[f_2567_2]) ).
fof(f_2568_1,plain,
( l1_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v7_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v4_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v3_group_1(g1_group_1(k1_numbers,k33_binop_2))
& ~ v3_struct_0(g1_group_1(k1_numbers,k33_binop_2)) ),
inference(fof_nnf,[status(thm)],[t92_group_1]) ).
fof(f_2568_2,plain,
( l1_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v7_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v4_group_1(g1_group_1(k1_numbers,k33_binop_2))
& v3_group_1(g1_group_1(k1_numbers,k33_binop_2))
& ~ v3_struct_0(g1_group_1(k1_numbers,k33_binop_2)) ),
inference(definitional_conversion,[status(esa)],[f_2568_1]) ).
cnf(f_2568_3,plain,
~ v3_struct_0(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2568_2]) ).
cnf(f_2568_4,plain,
v3_group_1(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2568_2]) ).
cnf(f_2568_5,plain,
v4_group_1(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2568_2]) ).
cnf(f_2568_6,plain,
v7_group_1(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2568_2]) ).
cnf(f_2568_7,plain,
l1_group_1(g1_group_1(k1_numbers,k33_binop_2)),
inference(clausify,[status(thm)],[f_2568_2]) ).
fof(f_2569_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t93_group_1]) ).
fof(f_2569_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2569_1]) ).
cnf(f_2569_3,plain,
$true,
inference(clausify,[status(thm)],[f_2569_2]) ).
fof(f_2570_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_group_1(A,k10_group_1(A,B,C)) = k10_group_1(A,k3_group_1(A,B),k3_group_1(A,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t94_group_1]) ).
fof(f_2570_2,plain,
! [U_6700] :
( ! [U_6699] :
( ! [U_6698] :
( k3_group_1(U_6700,k10_group_1(U_6700,U_6699,U_6698)) = k10_group_1(U_6700,k3_group_1(U_6700,U_6699),k3_group_1(U_6700,U_6698))
| ~ m1_subset_1(U_6698,u1_struct_0(U_6700)) )
| ~ m1_subset_1(U_6699,u1_struct_0(U_6700)) )
| ~ l1_group_1(U_6700)
| ~ v7_group_1(U_6700)
| ~ v4_group_1(U_6700)
| ~ v3_group_1(U_6700)
| v3_struct_0(U_6700) ),
inference(variable_rename,[status(thm)],[f_2570_1]) ).
fof(f_2570_3,plain,
! [U_6699,U_6698,U_6700] :
( k3_group_1(U_6700,k10_group_1(U_6700,U_6699,U_6698)) = k10_group_1(U_6700,k3_group_1(U_6700,U_6699),k3_group_1(U_6700,U_6698))
| ~ m1_subset_1(U_6698,u1_struct_0(U_6700))
| ~ m1_subset_1(U_6699,u1_struct_0(U_6700))
| ~ l1_group_1(U_6700)
| ~ v7_group_1(U_6700)
| ~ v4_group_1(U_6700)
| ~ v3_group_1(U_6700)
| v3_struct_0(U_6700) ),
inference(definitional_conversion,[status(esa)],[f_2570_2]) ).
cnf(f_2570_4,plain,
( k3_group_1(U_6700,k10_group_1(U_6700,U_6699,U_6698)) = k10_group_1(U_6700,k3_group_1(U_6700,U_6699),k3_group_1(U_6700,U_6698))
| ~ m1_subset_1(U_6698,u1_struct_0(U_6700))
| ~ m1_subset_1(U_6699,u1_struct_0(U_6700))
| ~ l1_group_1(U_6700)
| ~ v7_group_1(U_6700)
| ~ v4_group_1(U_6700)
| ~ v3_group_1(U_6700)
| v3_struct_0(U_6700) ),
inference(clausify,[status(thm)],[f_2570_3]) ).
fof(f_2571_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D))
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v7_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t95_group_1]) ).
fof(f_2571_2,plain,
! [U_6704] :
( ! [U_6703] :
( ! [U_6702] :
( ! [U_6701] :
( k6_group_1(U_6703,U_6704,k10_group_1(U_6703,U_6702,U_6701)) = k10_group_1(U_6703,k6_group_1(U_6703,U_6704,U_6702),k6_group_1(U_6703,U_6704,U_6701))
| ~ m1_subset_1(U_6701,u1_struct_0(U_6703)) )
| ~ m1_subset_1(U_6702,u1_struct_0(U_6703)) )
| ~ l1_group_1(U_6703)
| ~ v7_group_1(U_6703)
| ~ v4_group_1(U_6703)
| ~ v3_group_1(U_6703)
| v3_struct_0(U_6703) )
| ~ m2_subset_1(U_6704,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2571_1]) ).
fof(f_2571_3,plain,
! [U_6702,U_6701,U_6704,U_6703] :
( k6_group_1(U_6703,U_6704,k10_group_1(U_6703,U_6702,U_6701)) = k10_group_1(U_6703,k6_group_1(U_6703,U_6704,U_6702),k6_group_1(U_6703,U_6704,U_6701))
| ~ m1_subset_1(U_6701,u1_struct_0(U_6703))
| ~ m1_subset_1(U_6702,u1_struct_0(U_6703))
| ~ l1_group_1(U_6703)
| ~ v7_group_1(U_6703)
| ~ v4_group_1(U_6703)
| ~ v3_group_1(U_6703)
| v3_struct_0(U_6703)
| ~ m2_subset_1(U_6704,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2571_2]) ).
cnf(f_2571_4,plain,
( k6_group_1(U_6703,U_6704,k10_group_1(U_6703,U_6702,U_6701)) = k10_group_1(U_6703,k6_group_1(U_6703,U_6704,U_6702),k6_group_1(U_6703,U_6704,U_6701))
| ~ m1_subset_1(U_6701,u1_struct_0(U_6703))
| ~ m1_subset_1(U_6702,u1_struct_0(U_6703))
| ~ l1_group_1(U_6703)
| ~ v7_group_1(U_6703)
| ~ v4_group_1(U_6703)
| ~ v3_group_1(U_6703)
| v3_struct_0(U_6703)
| ~ m2_subset_1(U_6704,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2571_3]) ).
fof(f_2572_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D))
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_group_1(B)
| ~ v7_group_1(B)
| ~ v4_group_1(B)
| ~ v3_group_1(B)
| v3_struct_0(B) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[t96_group_1]) ).
fof(f_2572_2,plain,
! [U_6708] :
( ! [U_6707] :
( ! [U_6706] :
( ! [U_6705] :
( k6_group_1(U_6707,U_6708,k10_group_1(U_6707,U_6706,U_6705)) = k10_group_1(U_6707,k6_group_1(U_6707,U_6708,U_6706),k6_group_1(U_6707,U_6708,U_6705))
| ~ m1_subset_1(U_6705,u1_struct_0(U_6707)) )
| ~ m1_subset_1(U_6706,u1_struct_0(U_6707)) )
| ~ l1_group_1(U_6707)
| ~ v7_group_1(U_6707)
| ~ v4_group_1(U_6707)
| ~ v3_group_1(U_6707)
| v3_struct_0(U_6707) )
| ~ v1_int_1(U_6708) ),
inference(variable_rename,[status(thm)],[f_2572_1]) ).
fof(f_2572_3,plain,
! [U_6707,U_6705,U_6708,U_6706] :
( k6_group_1(U_6707,U_6708,k10_group_1(U_6707,U_6706,U_6705)) = k10_group_1(U_6707,k6_group_1(U_6707,U_6708,U_6706),k6_group_1(U_6707,U_6708,U_6705))
| ~ m1_subset_1(U_6705,u1_struct_0(U_6707))
| ~ m1_subset_1(U_6706,u1_struct_0(U_6707))
| ~ l1_group_1(U_6707)
| ~ v7_group_1(U_6707)
| ~ v4_group_1(U_6707)
| ~ v3_group_1(U_6707)
| v3_struct_0(U_6707)
| ~ v1_int_1(U_6708) ),
inference(definitional_conversion,[status(esa)],[f_2572_2]) ).
cnf(f_2572_4,plain,
( k6_group_1(U_6707,U_6708,k10_group_1(U_6707,U_6706,U_6705)) = k10_group_1(U_6707,k6_group_1(U_6707,U_6708,U_6706),k6_group_1(U_6707,U_6708,U_6705))
| ~ m1_subset_1(U_6705,u1_struct_0(U_6707))
| ~ m1_subset_1(U_6706,u1_struct_0(U_6707))
| ~ l1_group_1(U_6707)
| ~ v7_group_1(U_6707)
| ~ v4_group_1(U_6707)
| ~ v3_group_1(U_6707)
| v3_struct_0(U_6707)
| ~ v1_int_1(U_6708) ),
inference(clausify,[status(thm)],[f_2572_3]) ).
fof(f_2573_1,plain,
! [A] :
( ( v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A)))
& v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A)))
& v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A)))
& v3_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) )
| ~ l1_group_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t97_group_1]) ).
fof(f_2573_2,plain,
! [U_6709] :
( ( v6_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
& v5_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
& v4_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
& v3_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709))) )
| ~ l1_group_1(U_6709)
| ~ v7_group_1(U_6709)
| ~ v4_group_1(U_6709)
| ~ v3_group_1(U_6709)
| v3_struct_0(U_6709) ),
inference(variable_rename,[status(thm)],[f_2573_1]) ).
fof(f_2573_3,plain,
( ! [U_6709] :
( v6_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) )
& ! [U_6709] :
( v5_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) )
& ! [U_6709] :
( v4_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) )
& ! [U_6709] :
( v3_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) )
& ! [U_6709] :
( sP1195(U_6709)
| ~ l1_group_1(U_6709)
| ~ v7_group_1(U_6709)
| ~ v4_group_1(U_6709)
| ~ v3_group_1(U_6709)
| v3_struct_0(U_6709) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1195])],[f_2573_2]) ).
cnf(f_2573_4,plain,
( sP1195(U_6709)
| ~ l1_group_1(U_6709)
| ~ v7_group_1(U_6709)
| ~ v4_group_1(U_6709)
| ~ v3_group_1(U_6709)
| v3_struct_0(U_6709) ),
inference(clausify,[status(thm)],[f_2573_3]) ).
cnf(f_2573_5,plain,
( v3_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) ),
inference(clausify,[status(thm)],[f_2573_3]) ).
cnf(f_2573_6,plain,
( v4_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) ),
inference(clausify,[status(thm)],[f_2573_3]) ).
cnf(f_2573_7,plain,
( v5_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) ),
inference(clausify,[status(thm)],[f_2573_3]) ).
cnf(f_2573_8,plain,
( v6_rlvect_1(g1_rlvect_1(u1_struct_0(U_6709),u1_group_1(U_6709),k2_group_1(U_6709)))
| ~ sP1195(U_6709) ),
inference(clausify,[status(thm)],[f_2573_3]) ).
fof(f_2574_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_group_1]) ).
fof(f_2574_2,plain,
! [U_6710] :
( l1_struct_0(U_6710)
| ~ l1_group_1(U_6710) ),
inference(variable_rename,[status(thm)],[f_2574_1]) ).
fof(f_2574_3,plain,
! [U_6710] :
( l1_struct_0(U_6710)
| ~ l1_group_1(U_6710) ),
inference(definitional_conversion,[status(esa)],[f_2574_2]) ).
cnf(f_2574_4,plain,
( l1_struct_0(U_6710)
| ~ l1_group_1(U_6710) ),
inference(clausify,[status(thm)],[f_2574_3]) ).
fof(f_2575_1,plain,
? [A] : l1_group_1(A),
inference(fof_nnf,[status(thm)],[existence_l1_group_1]) ).
fof(f_2575_2,plain,
? [U_6711] : l1_group_1(U_6711),
inference(variable_rename,[status(thm)],[f_2575_1]) ).
fof(f_2575_3,plain,
l1_group_1(sK821),
inference(skolemize,[status(esa),new_symbols(skolem,[sK821]),skolemize(U_6711,sK821)],[f_2575_2]) ).
fof(f_2575_4,plain,
l1_group_1(sK821),
inference(definitional_conversion,[status(esa)],[f_2575_3]) ).
cnf(f_2575_5,plain,
l1_group_1(sK821),
inference(clausify,[status(thm)],[f_2575_4]) ).
fof(f_2576_1,plain,
! [A] :
( A = g1_group_1(u1_struct_0(A),u1_group_1(A))
| ~ v1_group_1(A)
| ~ l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v1_group_1]) ).
fof(f_2576_2,plain,
! [U_6712] :
( U_6712 = g1_group_1(u1_struct_0(U_6712),u1_group_1(U_6712))
| ~ v1_group_1(U_6712)
| ~ l1_group_1(U_6712) ),
inference(variable_rename,[status(thm)],[f_2576_1]) ).
fof(f_2576_3,plain,
! [U_6712] :
( U_6712 = g1_group_1(u1_struct_0(U_6712),u1_group_1(U_6712))
| ~ v1_group_1(U_6712)
| ~ l1_group_1(U_6712) ),
inference(definitional_conversion,[status(esa)],[f_2576_2]) ).
cnf(f_2576_4,plain,
( U_6712 = g1_group_1(u1_struct_0(U_6712),u1_group_1(U_6712))
| ~ v1_group_1(U_6712)
| ~ l1_group_1(U_6712) ),
inference(clausify,[status(thm)],[f_2576_3]) ).
fof(f_2577_1,plain,
! [A,B,C] :
( m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_group_1]) ).
fof(f_2577_2,plain,
! [U_6715,U_6714,U_6713] :
( m1_subset_1(k1_group_1(U_6715,U_6714,U_6713),u1_struct_0(U_6715))
| ~ m1_subset_1(U_6713,u1_struct_0(U_6715))
| ~ m1_subset_1(U_6714,u1_struct_0(U_6715))
| ~ l1_group_1(U_6715)
| v3_struct_0(U_6715) ),
inference(variable_rename,[status(thm)],[f_2577_1]) ).
fof(f_2577_3,plain,
! [U_6715,U_6714,U_6713] :
( m1_subset_1(k1_group_1(U_6715,U_6714,U_6713),u1_struct_0(U_6715))
| ~ m1_subset_1(U_6713,u1_struct_0(U_6715))
| ~ m1_subset_1(U_6714,u1_struct_0(U_6715))
| ~ l1_group_1(U_6715)
| v3_struct_0(U_6715) ),
inference(definitional_conversion,[status(esa)],[f_2577_2]) ).
cnf(f_2577_4,plain,
( m1_subset_1(k1_group_1(U_6715,U_6714,U_6713),u1_struct_0(U_6715))
| ~ m1_subset_1(U_6713,u1_struct_0(U_6715))
| ~ m1_subset_1(U_6714,u1_struct_0(U_6715))
| ~ l1_group_1(U_6715)
| v3_struct_0(U_6715) ),
inference(clausify,[status(thm)],[f_2577_3]) ).
fof(f_2578_1,plain,
! [A] :
( m1_subset_1(k2_group_1(A),u1_struct_0(A))
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_group_1]) ).
fof(f_2578_2,plain,
! [U_6716] :
( m1_subset_1(k2_group_1(U_6716),u1_struct_0(U_6716))
| ~ l1_group_1(U_6716)
| v3_struct_0(U_6716) ),
inference(variable_rename,[status(thm)],[f_2578_1]) ).
fof(f_2578_3,plain,
! [U_6716] :
( m1_subset_1(k2_group_1(U_6716),u1_struct_0(U_6716))
| ~ l1_group_1(U_6716)
| v3_struct_0(U_6716) ),
inference(definitional_conversion,[status(esa)],[f_2578_2]) ).
cnf(f_2578_4,plain,
( m1_subset_1(k2_group_1(U_6716),u1_struct_0(U_6716))
| ~ l1_group_1(U_6716)
| v3_struct_0(U_6716) ),
inference(clausify,[status(thm)],[f_2578_3]) ).
fof(f_2579_1,plain,
! [A,B] :
( m1_subset_1(k3_group_1(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_group_1]) ).
fof(f_2579_2,plain,
! [U_6718,U_6717] :
( m1_subset_1(k3_group_1(U_6718,U_6717),u1_struct_0(U_6718))
| ~ m1_subset_1(U_6717,u1_struct_0(U_6718))
| ~ l1_group_1(U_6718)
| ~ v4_group_1(U_6718)
| ~ v3_group_1(U_6718)
| v3_struct_0(U_6718) ),
inference(variable_rename,[status(thm)],[f_2579_1]) ).
fof(f_2579_3,plain,
! [U_6717,U_6718] :
( m1_subset_1(k3_group_1(U_6718,U_6717),u1_struct_0(U_6718))
| ~ m1_subset_1(U_6717,u1_struct_0(U_6718))
| ~ l1_group_1(U_6718)
| ~ v4_group_1(U_6718)
| ~ v3_group_1(U_6718)
| v3_struct_0(U_6718) ),
inference(definitional_conversion,[status(esa)],[f_2579_2]) ).
cnf(f_2579_4,plain,
( m1_subset_1(k3_group_1(U_6718,U_6717),u1_struct_0(U_6718))
| ~ m1_subset_1(U_6717,u1_struct_0(U_6718))
| ~ l1_group_1(U_6718)
| ~ v4_group_1(U_6718)
| ~ v3_group_1(U_6718)
| v3_struct_0(U_6718) ),
inference(clausify,[status(thm)],[f_2579_3]) ).
fof(f_2580_1,plain,
! [A] :
( ( m2_relset_1(k4_group_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k4_group_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k4_group_1(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_group_1]) ).
fof(f_2580_2,plain,
! [U_6719] :
( ( m2_relset_1(k4_group_1(U_6719),u1_struct_0(U_6719),u1_struct_0(U_6719))
& v1_funct_2(k4_group_1(U_6719),u1_struct_0(U_6719),u1_struct_0(U_6719))
& v1_funct_1(k4_group_1(U_6719)) )
| ~ l1_group_1(U_6719)
| ~ v4_group_1(U_6719)
| ~ v3_group_1(U_6719)
| v3_struct_0(U_6719) ),
inference(variable_rename,[status(thm)],[f_2580_1]) ).
fof(f_2580_3,plain,
( ! [U_6719] :
( m2_relset_1(k4_group_1(U_6719),u1_struct_0(U_6719),u1_struct_0(U_6719))
| ~ sP1196(U_6719) )
& ! [U_6719] :
( v1_funct_2(k4_group_1(U_6719),u1_struct_0(U_6719),u1_struct_0(U_6719))
| ~ sP1196(U_6719) )
& ! [U_6719] :
( v1_funct_1(k4_group_1(U_6719))
| ~ sP1196(U_6719) )
& ! [U_6719] :
( sP1196(U_6719)
| ~ l1_group_1(U_6719)
| ~ v4_group_1(U_6719)
| ~ v3_group_1(U_6719)
| v3_struct_0(U_6719) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1196])],[f_2580_2]) ).
cnf(f_2580_4,plain,
( sP1196(U_6719)
| ~ l1_group_1(U_6719)
| ~ v4_group_1(U_6719)
| ~ v3_group_1(U_6719)
| v3_struct_0(U_6719) ),
inference(clausify,[status(thm)],[f_2580_3]) ).
cnf(f_2580_5,plain,
( v1_funct_1(k4_group_1(U_6719))
| ~ sP1196(U_6719) ),
inference(clausify,[status(thm)],[f_2580_3]) ).
cnf(f_2580_6,plain,
( v1_funct_2(k4_group_1(U_6719),u1_struct_0(U_6719),u1_struct_0(U_6719))
| ~ sP1196(U_6719) ),
inference(clausify,[status(thm)],[f_2580_3]) ).
cnf(f_2580_7,plain,
( m2_relset_1(k4_group_1(U_6719),u1_struct_0(U_6719),u1_struct_0(U_6719))
| ~ sP1196(U_6719) ),
inference(clausify,[status(thm)],[f_2580_3]) ).
fof(f_2581_1,plain,
! [A] :
( ( m2_relset_1(k5_group_1(A),k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
& v1_funct_2(k5_group_1(A),k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A))
& v1_funct_1(k5_group_1(A)) )
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_group_1]) ).
fof(f_2581_2,plain,
! [U_6720] :
( ( m2_relset_1(k5_group_1(U_6720),k2_zfmisc_1(u1_struct_0(U_6720),k5_numbers),u1_struct_0(U_6720))
& v1_funct_2(k5_group_1(U_6720),k2_zfmisc_1(u1_struct_0(U_6720),k5_numbers),u1_struct_0(U_6720))
& v1_funct_1(k5_group_1(U_6720)) )
| ~ l1_group_1(U_6720)
| v3_struct_0(U_6720) ),
inference(variable_rename,[status(thm)],[f_2581_1]) ).
fof(f_2581_3,plain,
( ! [U_6720] :
( m2_relset_1(k5_group_1(U_6720),k2_zfmisc_1(u1_struct_0(U_6720),k5_numbers),u1_struct_0(U_6720))
| ~ sP1197(U_6720) )
& ! [U_6720] :
( v1_funct_2(k5_group_1(U_6720),k2_zfmisc_1(u1_struct_0(U_6720),k5_numbers),u1_struct_0(U_6720))
| ~ sP1197(U_6720) )
& ! [U_6720] :
( v1_funct_1(k5_group_1(U_6720))
| ~ sP1197(U_6720) )
& ! [U_6720] :
( sP1197(U_6720)
| ~ l1_group_1(U_6720)
| v3_struct_0(U_6720) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1197])],[f_2581_2]) ).
cnf(f_2581_4,plain,
( sP1197(U_6720)
| ~ l1_group_1(U_6720)
| v3_struct_0(U_6720) ),
inference(clausify,[status(thm)],[f_2581_3]) ).
cnf(f_2581_5,plain,
( v1_funct_1(k5_group_1(U_6720))
| ~ sP1197(U_6720) ),
inference(clausify,[status(thm)],[f_2581_3]) ).
cnf(f_2581_6,plain,
( v1_funct_2(k5_group_1(U_6720),k2_zfmisc_1(u1_struct_0(U_6720),k5_numbers),u1_struct_0(U_6720))
| ~ sP1197(U_6720) ),
inference(clausify,[status(thm)],[f_2581_3]) ).
cnf(f_2581_7,plain,
( m2_relset_1(k5_group_1(U_6720),k2_zfmisc_1(u1_struct_0(U_6720),k5_numbers),u1_struct_0(U_6720))
| ~ sP1197(U_6720) ),
inference(clausify,[status(thm)],[f_2581_3]) ).
fof(f_2582_1,plain,
! [A,B,C] :
( m1_subset_1(k6_group_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ v1_int_1(B)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_group_1]) ).
fof(f_2582_2,plain,
! [U_6723,U_6722,U_6721] :
( m1_subset_1(k6_group_1(U_6723,U_6722,U_6721),u1_struct_0(U_6723))
| ~ m1_subset_1(U_6721,u1_struct_0(U_6723))
| ~ v1_int_1(U_6722)
| ~ l1_group_1(U_6723)
| ~ v4_group_1(U_6723)
| ~ v3_group_1(U_6723)
| v3_struct_0(U_6723) ),
inference(variable_rename,[status(thm)],[f_2582_1]) ).
fof(f_2582_3,plain,
! [U_6722,U_6721,U_6723] :
( m1_subset_1(k6_group_1(U_6723,U_6722,U_6721),u1_struct_0(U_6723))
| ~ m1_subset_1(U_6721,u1_struct_0(U_6723))
| ~ v1_int_1(U_6722)
| ~ l1_group_1(U_6723)
| ~ v4_group_1(U_6723)
| ~ v3_group_1(U_6723)
| v3_struct_0(U_6723) ),
inference(definitional_conversion,[status(esa)],[f_2582_2]) ).
cnf(f_2582_4,plain,
( m1_subset_1(k6_group_1(U_6723,U_6722,U_6721),u1_struct_0(U_6723))
| ~ m1_subset_1(U_6721,u1_struct_0(U_6723))
| ~ v1_int_1(U_6722)
| ~ l1_group_1(U_6723)
| ~ v4_group_1(U_6723)
| ~ v3_group_1(U_6723)
| v3_struct_0(U_6723) ),
inference(clausify,[status(thm)],[f_2582_3]) ).
fof(f_2583_1,plain,
! [A,B] :
( m2_subset_1(k7_group_1(A,B),k1_numbers,k5_numbers)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_group_1]) ).
fof(f_2583_2,plain,
! [U_6725,U_6724] :
( m2_subset_1(k7_group_1(U_6725,U_6724),k1_numbers,k5_numbers)
| ~ m1_subset_1(U_6724,u1_struct_0(U_6725))
| ~ l1_group_1(U_6725)
| ~ v4_group_1(U_6725)
| ~ v3_group_1(U_6725)
| v3_struct_0(U_6725) ),
inference(variable_rename,[status(thm)],[f_2583_1]) ).
fof(f_2583_3,plain,
! [U_6725,U_6724] :
( m2_subset_1(k7_group_1(U_6725,U_6724),k1_numbers,k5_numbers)
| ~ m1_subset_1(U_6724,u1_struct_0(U_6725))
| ~ l1_group_1(U_6725)
| ~ v4_group_1(U_6725)
| ~ v3_group_1(U_6725)
| v3_struct_0(U_6725) ),
inference(definitional_conversion,[status(esa)],[f_2583_2]) ).
cnf(f_2583_4,plain,
( m2_subset_1(k7_group_1(U_6725,U_6724),k1_numbers,k5_numbers)
| ~ m1_subset_1(U_6724,u1_struct_0(U_6725))
| ~ l1_group_1(U_6725)
| ~ v4_group_1(U_6725)
| ~ v3_group_1(U_6725)
| v3_struct_0(U_6725) ),
inference(clausify,[status(thm)],[f_2583_3]) ).
fof(f_2584_1,plain,
! [A] :
( v1_card_1(k8_group_1(A))
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k8_group_1]) ).
fof(f_2584_2,plain,
! [U_6726] :
( v1_card_1(k8_group_1(U_6726))
| ~ l1_group_1(U_6726)
| ~ v4_group_1(U_6726)
| ~ v3_group_1(U_6726)
| v3_struct_0(U_6726) ),
inference(variable_rename,[status(thm)],[f_2584_1]) ).
fof(f_2584_3,plain,
! [U_6726] :
( v1_card_1(k8_group_1(U_6726))
| ~ l1_group_1(U_6726)
| ~ v4_group_1(U_6726)
| ~ v3_group_1(U_6726)
| v3_struct_0(U_6726) ),
inference(definitional_conversion,[status(esa)],[f_2584_2]) ).
cnf(f_2584_4,plain,
( v1_card_1(k8_group_1(U_6726))
| ~ l1_group_1(U_6726)
| ~ v4_group_1(U_6726)
| ~ v3_group_1(U_6726)
| v3_struct_0(U_6726) ),
inference(clausify,[status(thm)],[f_2584_3]) ).
fof(f_2585_1,plain,
! [A] :
( m2_subset_1(k9_group_1(A),k1_numbers,k5_numbers)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k9_group_1]) ).
fof(f_2585_2,plain,
! [U_6727] :
( m2_subset_1(k9_group_1(U_6727),k1_numbers,k5_numbers)
| ~ l1_group_1(U_6727)
| ~ v4_group_1(U_6727)
| ~ v3_group_1(U_6727)
| v3_struct_0(U_6727) ),
inference(variable_rename,[status(thm)],[f_2585_1]) ).
fof(f_2585_3,plain,
! [U_6727] :
( m2_subset_1(k9_group_1(U_6727),k1_numbers,k5_numbers)
| ~ l1_group_1(U_6727)
| ~ v4_group_1(U_6727)
| ~ v3_group_1(U_6727)
| v3_struct_0(U_6727) ),
inference(definitional_conversion,[status(esa)],[f_2585_2]) ).
cnf(f_2585_4,plain,
( m2_subset_1(k9_group_1(U_6727),k1_numbers,k5_numbers)
| ~ l1_group_1(U_6727)
| ~ v4_group_1(U_6727)
| ~ v3_group_1(U_6727)
| v3_struct_0(U_6727) ),
inference(clausify,[status(thm)],[f_2585_3]) ).
fof(f_2586_1,plain,
! [A,B,C] :
( m1_subset_1(k10_group_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v7_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k10_group_1]) ).
fof(f_2586_2,plain,
! [U_6730,U_6729,U_6728] :
( m1_subset_1(k10_group_1(U_6730,U_6729,U_6728),u1_struct_0(U_6730))
| ~ m1_subset_1(U_6728,u1_struct_0(U_6730))
| ~ m1_subset_1(U_6729,u1_struct_0(U_6730))
| ~ l1_group_1(U_6730)
| ~ v7_group_1(U_6730)
| v3_struct_0(U_6730) ),
inference(variable_rename,[status(thm)],[f_2586_1]) ).
fof(f_2586_3,plain,
! [U_6728,U_6729,U_6730] :
( m1_subset_1(k10_group_1(U_6730,U_6729,U_6728),u1_struct_0(U_6730))
| ~ m1_subset_1(U_6728,u1_struct_0(U_6730))
| ~ m1_subset_1(U_6729,u1_struct_0(U_6730))
| ~ l1_group_1(U_6730)
| ~ v7_group_1(U_6730)
| v3_struct_0(U_6730) ),
inference(definitional_conversion,[status(esa)],[f_2586_2]) ).
cnf(f_2586_4,plain,
( m1_subset_1(k10_group_1(U_6730,U_6729,U_6728),u1_struct_0(U_6730))
| ~ m1_subset_1(U_6728,u1_struct_0(U_6730))
| ~ m1_subset_1(U_6729,u1_struct_0(U_6730))
| ~ l1_group_1(U_6730)
| ~ v7_group_1(U_6730)
| v3_struct_0(U_6730) ),
inference(clausify,[status(thm)],[f_2586_3]) ).
fof(f_2587_1,plain,
! [A,B,C] :
( k10_group_1(A,B,C) = k10_group_1(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v7_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k10_group_1]) ).
fof(f_2587_2,plain,
! [U_6733,U_6732,U_6731] :
( k10_group_1(U_6733,U_6732,U_6731) = k10_group_1(U_6733,U_6731,U_6732)
| ~ m1_subset_1(U_6731,u1_struct_0(U_6733))
| ~ m1_subset_1(U_6732,u1_struct_0(U_6733))
| ~ l1_group_1(U_6733)
| ~ v7_group_1(U_6733)
| v3_struct_0(U_6733) ),
inference(variable_rename,[status(thm)],[f_2587_1]) ).
fof(f_2587_3,plain,
! [U_6732,U_6731,U_6733] :
( k10_group_1(U_6733,U_6732,U_6731) = k10_group_1(U_6733,U_6731,U_6732)
| ~ m1_subset_1(U_6731,u1_struct_0(U_6733))
| ~ m1_subset_1(U_6732,u1_struct_0(U_6733))
| ~ l1_group_1(U_6733)
| ~ v7_group_1(U_6733)
| v3_struct_0(U_6733) ),
inference(definitional_conversion,[status(esa)],[f_2587_2]) ).
cnf(f_2587_4,plain,
( k10_group_1(U_6733,U_6732,U_6731) = k10_group_1(U_6733,U_6731,U_6732)
| ~ m1_subset_1(U_6731,u1_struct_0(U_6733))
| ~ m1_subset_1(U_6732,u1_struct_0(U_6733))
| ~ l1_group_1(U_6733)
| ~ v7_group_1(U_6733)
| v3_struct_0(U_6733) ),
inference(clausify,[status(thm)],[f_2587_3]) ).
fof(f_2588_1,plain,
! [A,B,C] :
( k10_group_1(A,B,C) = k1_group_1(A,B,C)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| ~ v7_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k10_group_1]) ).
fof(f_2588_2,plain,
! [U_6736,U_6735,U_6734] :
( k10_group_1(U_6736,U_6735,U_6734) = k1_group_1(U_6736,U_6735,U_6734)
| ~ m1_subset_1(U_6734,u1_struct_0(U_6736))
| ~ m1_subset_1(U_6735,u1_struct_0(U_6736))
| ~ l1_group_1(U_6736)
| ~ v7_group_1(U_6736)
| v3_struct_0(U_6736) ),
inference(variable_rename,[status(thm)],[f_2588_1]) ).
fof(f_2588_3,plain,
! [U_6734,U_6735,U_6736] :
( k10_group_1(U_6736,U_6735,U_6734) = k1_group_1(U_6736,U_6735,U_6734)
| ~ m1_subset_1(U_6734,u1_struct_0(U_6736))
| ~ m1_subset_1(U_6735,u1_struct_0(U_6736))
| ~ l1_group_1(U_6736)
| ~ v7_group_1(U_6736)
| v3_struct_0(U_6736) ),
inference(definitional_conversion,[status(esa)],[f_2588_2]) ).
cnf(f_2588_4,plain,
( k10_group_1(U_6736,U_6735,U_6734) = k1_group_1(U_6736,U_6735,U_6734)
| ~ m1_subset_1(U_6734,u1_struct_0(U_6736))
| ~ m1_subset_1(U_6735,u1_struct_0(U_6736))
| ~ l1_group_1(U_6736)
| ~ v7_group_1(U_6736)
| v3_struct_0(U_6736) ),
inference(clausify,[status(thm)],[f_2588_3]) ).
fof(f_2589_1,plain,
! [A] :
( ( m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_group_1(A)) )
| ~ l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_group_1]) ).
fof(f_2589_2,plain,
! [U_6737] :
( ( m2_relset_1(u1_group_1(U_6737),k2_zfmisc_1(u1_struct_0(U_6737),u1_struct_0(U_6737)),u1_struct_0(U_6737))
& v1_funct_2(u1_group_1(U_6737),k2_zfmisc_1(u1_struct_0(U_6737),u1_struct_0(U_6737)),u1_struct_0(U_6737))
& v1_funct_1(u1_group_1(U_6737)) )
| ~ l1_group_1(U_6737) ),
inference(variable_rename,[status(thm)],[f_2589_1]) ).
fof(f_2589_3,plain,
( ! [U_6737] :
( m2_relset_1(u1_group_1(U_6737),k2_zfmisc_1(u1_struct_0(U_6737),u1_struct_0(U_6737)),u1_struct_0(U_6737))
| ~ sP1198(U_6737) )
& ! [U_6737] :
( v1_funct_2(u1_group_1(U_6737),k2_zfmisc_1(u1_struct_0(U_6737),u1_struct_0(U_6737)),u1_struct_0(U_6737))
| ~ sP1198(U_6737) )
& ! [U_6737] :
( v1_funct_1(u1_group_1(U_6737))
| ~ sP1198(U_6737) )
& ! [U_6737] :
( sP1198(U_6737)
| ~ l1_group_1(U_6737) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1198])],[f_2589_2]) ).
cnf(f_2589_4,plain,
( sP1198(U_6737)
| ~ l1_group_1(U_6737) ),
inference(clausify,[status(thm)],[f_2589_3]) ).
cnf(f_2589_5,plain,
( v1_funct_1(u1_group_1(U_6737))
| ~ sP1198(U_6737) ),
inference(clausify,[status(thm)],[f_2589_3]) ).
cnf(f_2589_6,plain,
( v1_funct_2(u1_group_1(U_6737),k2_zfmisc_1(u1_struct_0(U_6737),u1_struct_0(U_6737)),u1_struct_0(U_6737))
| ~ sP1198(U_6737) ),
inference(clausify,[status(thm)],[f_2589_3]) ).
cnf(f_2589_7,plain,
( m2_relset_1(u1_group_1(U_6737),k2_zfmisc_1(u1_struct_0(U_6737),u1_struct_0(U_6737)),u1_struct_0(U_6737))
| ~ sP1198(U_6737) ),
inference(clausify,[status(thm)],[f_2589_3]) ).
fof(f_2590_1,plain,
! [A,B] :
( ( l1_group_1(g1_group_1(A,B))
& v1_group_1(g1_group_1(A,B)) )
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g1_group_1]) ).
fof(f_2590_2,plain,
! [U_6739,U_6738] :
( ( l1_group_1(g1_group_1(U_6739,U_6738))
& v1_group_1(g1_group_1(U_6739,U_6738)) )
| ~ m1_relset_1(U_6738,k2_zfmisc_1(U_6739,U_6739),U_6739)
| ~ v1_funct_2(U_6738,k2_zfmisc_1(U_6739,U_6739),U_6739)
| ~ v1_funct_1(U_6738) ),
inference(variable_rename,[status(thm)],[f_2590_1]) ).
fof(f_2590_3,plain,
( ! [U_6739,U_6738] :
( l1_group_1(g1_group_1(U_6739,U_6738))
| ~ sP1199(U_6739,U_6738) )
& ! [U_6739,U_6738] :
( v1_group_1(g1_group_1(U_6739,U_6738))
| ~ sP1199(U_6739,U_6738) )
& ! [U_6739,U_6738] :
( sP1199(U_6739,U_6738)
| ~ m1_relset_1(U_6738,k2_zfmisc_1(U_6739,U_6739),U_6739)
| ~ v1_funct_2(U_6738,k2_zfmisc_1(U_6739,U_6739),U_6739)
| ~ v1_funct_1(U_6738) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1199])],[f_2590_2]) ).
cnf(f_2590_4,plain,
( sP1199(U_6739,U_6738)
| ~ m1_relset_1(U_6738,k2_zfmisc_1(U_6739,U_6739),U_6739)
| ~ v1_funct_2(U_6738,k2_zfmisc_1(U_6739,U_6739),U_6739)
| ~ v1_funct_1(U_6738) ),
inference(clausify,[status(thm)],[f_2590_3]) ).
cnf(f_2590_5,plain,
( v1_group_1(g1_group_1(U_6739,U_6738))
| ~ sP1199(U_6739,U_6738) ),
inference(clausify,[status(thm)],[f_2590_3]) ).
cnf(f_2590_6,plain,
( l1_group_1(g1_group_1(U_6739,U_6738))
| ~ sP1199(U_6739,U_6738) ),
inference(clausify,[status(thm)],[f_2590_3]) ).
fof(f_2591_1,plain,
! [A,B] :
( ! [C,D] :
( ( B = D
& A = C )
| g1_group_1(A,B) != g1_group_1(C,D) )
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g1_group_1]) ).
fof(f_2591_2,plain,
! [U_6743,U_6742] :
( ! [U_6741,U_6740] :
( ( U_6742 = U_6740
& U_6743 = U_6741 )
| g1_group_1(U_6743,U_6742) != g1_group_1(U_6741,U_6740) )
| ~ m1_relset_1(U_6742,k2_zfmisc_1(U_6743,U_6743),U_6743)
| ~ v1_funct_2(U_6742,k2_zfmisc_1(U_6743,U_6743),U_6743)
| ~ v1_funct_1(U_6742) ),
inference(variable_rename,[status(thm)],[f_2591_1]) ).
fof(f_2591_3,plain,
( ! [U_6743,U_6742,U_6741,U_6740] :
( U_6742 = U_6740
| ~ sP1200(U_6743,U_6742,U_6741,U_6740) )
& ! [U_6743,U_6742,U_6741,U_6740] :
( U_6743 = U_6741
| ~ sP1200(U_6743,U_6742,U_6741,U_6740) )
& ! [U_6743,U_6742,U_6741,U_6740] :
( sP1200(U_6743,U_6742,U_6741,U_6740)
| g1_group_1(U_6743,U_6742) != g1_group_1(U_6741,U_6740)
| ~ m1_relset_1(U_6742,k2_zfmisc_1(U_6743,U_6743),U_6743)
| ~ v1_funct_2(U_6742,k2_zfmisc_1(U_6743,U_6743),U_6743)
| ~ v1_funct_1(U_6742) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1200])],[f_2591_2]) ).
cnf(f_2591_4,plain,
( sP1200(U_6743,U_6742,U_6741,U_6740)
| g1_group_1(U_6743,U_6742) != g1_group_1(U_6741,U_6740)
| ~ m1_relset_1(U_6742,k2_zfmisc_1(U_6743,U_6743),U_6743)
| ~ v1_funct_2(U_6742,k2_zfmisc_1(U_6743,U_6743),U_6743)
| ~ v1_funct_1(U_6742) ),
inference(clausify,[status(thm)],[f_2591_3]) ).
cnf(f_2591_5,plain,
( U_6743 = U_6741
| ~ sP1200(U_6743,U_6742,U_6741,U_6740) ),
inference(clausify,[status(thm)],[f_2591_3]) ).
cnf(f_2591_6,plain,
( U_6742 = U_6740
| ~ sP1200(U_6743,U_6742,U_6741,U_6740) ),
inference(clausify,[status(thm)],[f_2591_3]) ).
fof(f_2592_1,plain,
( v1_rlvect_1(k1_vectsp_1)
& ~ v3_struct_0(k1_vectsp_1) ),
inference(fof_nnf,[status(thm)],[fc1_vectsp_1]) ).
fof(f_2592_2,plain,
( v1_rlvect_1(k1_vectsp_1)
& ~ v3_struct_0(k1_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2592_1]) ).
cnf(f_2592_3,plain,
~ v3_struct_0(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2592_2]) ).
cnf(f_2592_4,plain,
v1_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2592_2]) ).
fof(f_2593_1,plain,
( v6_rlvect_1(k1_vectsp_1)
& v5_rlvect_1(k1_vectsp_1)
& v4_rlvect_1(k1_vectsp_1)
& v3_rlvect_1(k1_vectsp_1)
& v1_rlvect_1(k1_vectsp_1)
& ~ v3_struct_0(k1_vectsp_1) ),
inference(fof_nnf,[status(thm)],[fc2_vectsp_1]) ).
fof(f_2593_2,plain,
( v6_rlvect_1(k1_vectsp_1)
& v5_rlvect_1(k1_vectsp_1)
& v4_rlvect_1(k1_vectsp_1)
& v3_rlvect_1(k1_vectsp_1)
& v1_rlvect_1(k1_vectsp_1)
& ~ v3_struct_0(k1_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2593_1]) ).
cnf(f_2593_3,plain,
~ v3_struct_0(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2593_2]) ).
cnf(f_2593_4,plain,
v1_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2593_2]) ).
cnf(f_2593_5,plain,
v3_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2593_2]) ).
cnf(f_2593_6,plain,
v4_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2593_2]) ).
cnf(f_2593_7,plain,
v5_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2593_2]) ).
cnf(f_2593_8,plain,
v6_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2593_2]) ).
fof(f_2594_1,plain,
? [A] :
( v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& v1_rlvect_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_vectsp_1]) ).
fof(f_2594_2,plain,
? [U_6744] :
( v6_rlvect_1(U_6744)
& v5_rlvect_1(U_6744)
& v4_rlvect_1(U_6744)
& v3_rlvect_1(U_6744)
& v1_rlvect_1(U_6744)
& ~ v3_struct_0(U_6744)
& l1_rlvect_1(U_6744) ),
inference(variable_rename,[status(thm)],[f_2594_1]) ).
fof(f_2594_3,plain,
( v6_rlvect_1(sK822)
& v5_rlvect_1(sK822)
& v4_rlvect_1(sK822)
& v3_rlvect_1(sK822)
& v1_rlvect_1(sK822)
& ~ v3_struct_0(sK822)
& l1_rlvect_1(sK822) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK822]),skolemize(U_6744,sK822)],[f_2594_2]) ).
fof(f_2594_4,plain,
( v6_rlvect_1(sK822)
& v5_rlvect_1(sK822)
& v4_rlvect_1(sK822)
& v3_rlvect_1(sK822)
& v1_rlvect_1(sK822)
& ~ v3_struct_0(sK822)
& l1_rlvect_1(sK822) ),
inference(definitional_conversion,[status(esa)],[f_2594_3]) ).
cnf(f_2594_5,plain,
l1_rlvect_1(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
cnf(f_2594_6,plain,
~ v3_struct_0(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
cnf(f_2594_7,plain,
v1_rlvect_1(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
cnf(f_2594_8,plain,
v3_rlvect_1(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
cnf(f_2594_9,plain,
v4_rlvect_1(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
cnf(f_2594_10,plain,
v5_rlvect_1(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
cnf(f_2594_11,plain,
v6_rlvect_1(sK822),
inference(clausify,[status(thm)],[f_2594_4]) ).
fof(f_2595_1,plain,
? [A] :
( v1_vectsp_1(A)
& l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_vectsp_1]) ).
fof(f_2595_2,plain,
? [U_6745] :
( v1_vectsp_1(U_6745)
& l1_vectsp_1(U_6745) ),
inference(variable_rename,[status(thm)],[f_2595_1]) ).
fof(f_2595_3,plain,
( v1_vectsp_1(sK823)
& l1_vectsp_1(sK823) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK823]),skolemize(U_6745,sK823)],[f_2595_2]) ).
fof(f_2595_4,plain,
( v1_vectsp_1(sK823)
& l1_vectsp_1(sK823) ),
inference(definitional_conversion,[status(esa)],[f_2595_3]) ).
cnf(f_2595_5,plain,
l1_vectsp_1(sK823),
inference(clausify,[status(thm)],[f_2595_4]) ).
cnf(f_2595_6,plain,
v1_vectsp_1(sK823),
inference(clausify,[status(thm)],[f_2595_4]) ).
fof(f_2596_1,plain,
? [A] :
( v1_vectsp_1(A)
& ~ v3_struct_0(A)
& l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_vectsp_1]) ).
fof(f_2596_2,plain,
? [U_6746] :
( v1_vectsp_1(U_6746)
& ~ v3_struct_0(U_6746)
& l1_vectsp_1(U_6746) ),
inference(variable_rename,[status(thm)],[f_2596_1]) ).
fof(f_2596_3,plain,
( v1_vectsp_1(sK824)
& ~ v3_struct_0(sK824)
& l1_vectsp_1(sK824) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK824]),skolemize(U_6746,sK824)],[f_2596_2]) ).
fof(f_2596_4,plain,
( v1_vectsp_1(sK824)
& ~ v3_struct_0(sK824)
& l1_vectsp_1(sK824) ),
inference(definitional_conversion,[status(esa)],[f_2596_3]) ).
cnf(f_2596_5,plain,
l1_vectsp_1(sK824),
inference(clausify,[status(thm)],[f_2596_4]) ).
cnf(f_2596_6,plain,
~ v3_struct_0(sK824),
inference(clausify,[status(thm)],[f_2596_4]) ).
cnf(f_2596_7,plain,
v1_vectsp_1(sK824),
inference(clausify,[status(thm)],[f_2596_4]) ).
fof(f_2597_1,plain,
? [A] :
( v2_vectsp_1(A)
& l2_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc4_vectsp_1]) ).
fof(f_2597_2,plain,
? [U_6747] :
( v2_vectsp_1(U_6747)
& l2_vectsp_1(U_6747) ),
inference(variable_rename,[status(thm)],[f_2597_1]) ).
fof(f_2597_3,plain,
( v2_vectsp_1(sK825)
& l2_vectsp_1(sK825) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK825]),skolemize(U_6747,sK825)],[f_2597_2]) ).
fof(f_2597_4,plain,
( v2_vectsp_1(sK825)
& l2_vectsp_1(sK825) ),
inference(definitional_conversion,[status(esa)],[f_2597_3]) ).
cnf(f_2597_5,plain,
l2_vectsp_1(sK825),
inference(clausify,[status(thm)],[f_2597_4]) ).
cnf(f_2597_6,plain,
v2_vectsp_1(sK825),
inference(clausify,[status(thm)],[f_2597_4]) ).
fof(f_2598_1,plain,
? [A] :
( v2_vectsp_1(A)
& ~ v3_struct_0(A)
& l2_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_vectsp_1]) ).
fof(f_2598_2,plain,
? [U_6748] :
( v2_vectsp_1(U_6748)
& ~ v3_struct_0(U_6748)
& l2_vectsp_1(U_6748) ),
inference(variable_rename,[status(thm)],[f_2598_1]) ).
fof(f_2598_3,plain,
( v2_vectsp_1(sK826)
& ~ v3_struct_0(sK826)
& l2_vectsp_1(sK826) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK826]),skolemize(U_6748,sK826)],[f_2598_2]) ).
fof(f_2598_4,plain,
( v2_vectsp_1(sK826)
& ~ v3_struct_0(sK826)
& l2_vectsp_1(sK826) ),
inference(definitional_conversion,[status(esa)],[f_2598_3]) ).
cnf(f_2598_5,plain,
l2_vectsp_1(sK826),
inference(clausify,[status(thm)],[f_2598_4]) ).
cnf(f_2598_6,plain,
~ v3_struct_0(sK826),
inference(clausify,[status(thm)],[f_2598_4]) ).
cnf(f_2598_7,plain,
v2_vectsp_1(sK826),
inference(clausify,[status(thm)],[f_2598_4]) ).
fof(f_2599_1,plain,
? [A] :
( v3_vectsp_1(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc6_vectsp_1]) ).
fof(f_2599_2,plain,
? [U_6749] :
( v3_vectsp_1(U_6749)
& l3_vectsp_1(U_6749) ),
inference(variable_rename,[status(thm)],[f_2599_1]) ).
fof(f_2599_3,plain,
( v3_vectsp_1(sK827)
& l3_vectsp_1(sK827) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK827]),skolemize(U_6749,sK827)],[f_2599_2]) ).
fof(f_2599_4,plain,
( v3_vectsp_1(sK827)
& l3_vectsp_1(sK827) ),
inference(definitional_conversion,[status(esa)],[f_2599_3]) ).
cnf(f_2599_5,plain,
l3_vectsp_1(sK827),
inference(clausify,[status(thm)],[f_2599_4]) ).
cnf(f_2599_6,plain,
v3_vectsp_1(sK827),
inference(clausify,[status(thm)],[f_2599_4]) ).
fof(f_2600_1,plain,
? [A] :
( v3_vectsp_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc7_vectsp_1]) ).
fof(f_2600_2,plain,
? [U_6750] :
( v3_vectsp_1(U_6750)
& ~ v3_struct_0(U_6750)
& l3_vectsp_1(U_6750) ),
inference(variable_rename,[status(thm)],[f_2600_1]) ).
fof(f_2600_3,plain,
( v3_vectsp_1(sK828)
& ~ v3_struct_0(sK828)
& l3_vectsp_1(sK828) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK828]),skolemize(U_6750,sK828)],[f_2600_2]) ).
fof(f_2600_4,plain,
( v3_vectsp_1(sK828)
& ~ v3_struct_0(sK828)
& l3_vectsp_1(sK828) ),
inference(definitional_conversion,[status(esa)],[f_2600_3]) ).
cnf(f_2600_5,plain,
l3_vectsp_1(sK828),
inference(clausify,[status(thm)],[f_2600_4]) ).
cnf(f_2600_6,plain,
~ v3_struct_0(sK828),
inference(clausify,[status(thm)],[f_2600_4]) ).
cnf(f_2600_7,plain,
v3_vectsp_1(sK828),
inference(clausify,[status(thm)],[f_2600_4]) ).
fof(f_2601_1,plain,
( v3_vectsp_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
inference(fof_nnf,[status(thm)],[fc3_vectsp_1]) ).
fof(f_2601_2,plain,
( v3_vectsp_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2601_1]) ).
cnf(f_2601_3,plain,
~ v3_struct_0(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2601_2]) ).
cnf(f_2601_4,plain,
v3_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2601_2]) ).
fof(f_2602_1,plain,
( v3_vectsp_1(k3_vectsp_1)
& v2_group_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
inference(fof_nnf,[status(thm)],[fc4_vectsp_1]) ).
fof(f_2602_2,plain,
( v3_vectsp_1(k3_vectsp_1)
& v2_group_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2602_1]) ).
cnf(f_2602_3,plain,
~ v3_struct_0(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2602_2]) ).
cnf(f_2602_4,plain,
v2_group_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2602_2]) ).
cnf(f_2602_5,plain,
v3_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2602_2]) ).
fof(f_2603_1,plain,
( ~ v10_vectsp_1(k3_vectsp_1)
& v9_vectsp_1(k3_vectsp_1)
& v8_vectsp_1(k3_vectsp_1)
& v7_vectsp_1(k3_vectsp_1)
& v6_vectsp_1(k3_vectsp_1)
& v3_vectsp_1(k3_vectsp_1)
& v7_group_1(k3_vectsp_1)
& v4_group_1(k3_vectsp_1)
& v2_group_1(k3_vectsp_1)
& v6_rlvect_1(k3_vectsp_1)
& v5_rlvect_1(k3_vectsp_1)
& v4_rlvect_1(k3_vectsp_1)
& v3_rlvect_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
inference(fof_nnf,[status(thm)],[fc5_vectsp_1]) ).
fof(f_2603_2,plain,
( ~ v10_vectsp_1(k3_vectsp_1)
& v9_vectsp_1(k3_vectsp_1)
& v8_vectsp_1(k3_vectsp_1)
& v7_vectsp_1(k3_vectsp_1)
& v6_vectsp_1(k3_vectsp_1)
& v3_vectsp_1(k3_vectsp_1)
& v7_group_1(k3_vectsp_1)
& v4_group_1(k3_vectsp_1)
& v2_group_1(k3_vectsp_1)
& v6_rlvect_1(k3_vectsp_1)
& v5_rlvect_1(k3_vectsp_1)
& v4_rlvect_1(k3_vectsp_1)
& v3_rlvect_1(k3_vectsp_1)
& ~ v3_struct_0(k3_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2603_1]) ).
cnf(f_2603_3,plain,
~ v3_struct_0(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_4,plain,
v3_rlvect_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_5,plain,
v4_rlvect_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_6,plain,
v5_rlvect_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_7,plain,
v6_rlvect_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_8,plain,
v2_group_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_9,plain,
v4_group_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_10,plain,
v7_group_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_11,plain,
v3_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_12,plain,
v6_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_13,plain,
v7_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_14,plain,
v8_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_15,plain,
v9_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
cnf(f_2603_16,plain,
~ v10_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2603_2]) ).
fof(f_2604_1,plain,
! [A] :
( ( v5_vectsp_1(A)
& v4_vectsp_1(A)
& ~ v3_struct_0(A) )
| ~ v7_vectsp_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_vectsp_1]) ).
fof(f_2604_2,plain,
! [U_6751] :
( ( v5_vectsp_1(U_6751)
& v4_vectsp_1(U_6751)
& ~ v3_struct_0(U_6751) )
| ~ v7_vectsp_1(U_6751)
| v3_struct_0(U_6751)
| ~ l3_vectsp_1(U_6751) ),
inference(variable_rename,[status(thm)],[f_2604_1]) ).
fof(f_2604_3,plain,
( ! [U_6751] :
( v5_vectsp_1(U_6751)
| ~ sP1201(U_6751) )
& ! [U_6751] :
( v4_vectsp_1(U_6751)
| ~ sP1201(U_6751) )
& ! [U_6751] :
( ~ v3_struct_0(U_6751)
| ~ sP1201(U_6751) )
& ! [U_6751] :
( sP1201(U_6751)
| ~ v7_vectsp_1(U_6751)
| v3_struct_0(U_6751)
| ~ l3_vectsp_1(U_6751) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1201])],[f_2604_2]) ).
cnf(f_2604_4,plain,
( sP1201(U_6751)
| ~ v7_vectsp_1(U_6751)
| v3_struct_0(U_6751)
| ~ l3_vectsp_1(U_6751) ),
inference(clausify,[status(thm)],[f_2604_3]) ).
cnf(f_2604_5,plain,
( ~ v3_struct_0(U_6751)
| ~ sP1201(U_6751) ),
inference(clausify,[status(thm)],[f_2604_3]) ).
cnf(f_2604_6,plain,
( v4_vectsp_1(U_6751)
| ~ sP1201(U_6751) ),
inference(clausify,[status(thm)],[f_2604_3]) ).
cnf(f_2604_7,plain,
( v5_vectsp_1(U_6751)
| ~ sP1201(U_6751) ),
inference(clausify,[status(thm)],[f_2604_3]) ).
fof(f_2605_1,plain,
! [A] :
( ( v7_vectsp_1(A)
& ~ v3_struct_0(A) )
| ~ v5_vectsp_1(A)
| ~ v4_vectsp_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_vectsp_1]) ).
fof(f_2605_2,plain,
! [U_6752] :
( ( v7_vectsp_1(U_6752)
& ~ v3_struct_0(U_6752) )
| ~ v5_vectsp_1(U_6752)
| ~ v4_vectsp_1(U_6752)
| v3_struct_0(U_6752)
| ~ l3_vectsp_1(U_6752) ),
inference(variable_rename,[status(thm)],[f_2605_1]) ).
fof(f_2605_3,plain,
( ! [U_6752] :
( v7_vectsp_1(U_6752)
| ~ sP1202(U_6752) )
& ! [U_6752] :
( ~ v3_struct_0(U_6752)
| ~ sP1202(U_6752) )
& ! [U_6752] :
( sP1202(U_6752)
| ~ v5_vectsp_1(U_6752)
| ~ v4_vectsp_1(U_6752)
| v3_struct_0(U_6752)
| ~ l3_vectsp_1(U_6752) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1202])],[f_2605_2]) ).
cnf(f_2605_4,plain,
( sP1202(U_6752)
| ~ v5_vectsp_1(U_6752)
| ~ v4_vectsp_1(U_6752)
| v3_struct_0(U_6752)
| ~ l3_vectsp_1(U_6752) ),
inference(clausify,[status(thm)],[f_2605_3]) ).
cnf(f_2605_5,plain,
( ~ v3_struct_0(U_6752)
| ~ sP1202(U_6752) ),
inference(clausify,[status(thm)],[f_2605_3]) ).
cnf(f_2605_6,plain,
( v7_vectsp_1(U_6752)
| ~ sP1202(U_6752) ),
inference(clausify,[status(thm)],[f_2605_3]) ).
fof(f_2606_1,plain,
! [A] :
( ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& ~ v3_struct_0(A) )
| ~ v2_group_1(A)
| v3_struct_0(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc3_vectsp_1]) ).
fof(f_2606_2,plain,
! [U_6753] :
( ( v8_vectsp_1(U_6753)
& v6_vectsp_1(U_6753)
& ~ v3_struct_0(U_6753) )
| ~ v2_group_1(U_6753)
| v3_struct_0(U_6753)
| ~ l1_vectsp_1(U_6753) ),
inference(variable_rename,[status(thm)],[f_2606_1]) ).
fof(f_2606_3,plain,
( ! [U_6753] :
( v8_vectsp_1(U_6753)
| ~ sP1203(U_6753) )
& ! [U_6753] :
( v6_vectsp_1(U_6753)
| ~ sP1203(U_6753) )
& ! [U_6753] :
( ~ v3_struct_0(U_6753)
| ~ sP1203(U_6753) )
& ! [U_6753] :
( sP1203(U_6753)
| ~ v2_group_1(U_6753)
| v3_struct_0(U_6753)
| ~ l1_vectsp_1(U_6753) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1203])],[f_2606_2]) ).
cnf(f_2606_4,plain,
( sP1203(U_6753)
| ~ v2_group_1(U_6753)
| v3_struct_0(U_6753)
| ~ l1_vectsp_1(U_6753) ),
inference(clausify,[status(thm)],[f_2606_3]) ).
cnf(f_2606_5,plain,
( ~ v3_struct_0(U_6753)
| ~ sP1203(U_6753) ),
inference(clausify,[status(thm)],[f_2606_3]) ).
cnf(f_2606_6,plain,
( v6_vectsp_1(U_6753)
| ~ sP1203(U_6753) ),
inference(clausify,[status(thm)],[f_2606_3]) ).
cnf(f_2606_7,plain,
( v8_vectsp_1(U_6753)
| ~ sP1203(U_6753) ),
inference(clausify,[status(thm)],[f_2606_3]) ).
fof(f_2607_1,plain,
! [A] :
( ( v2_group_1(A)
& ~ v3_struct_0(A) )
| ~ v8_vectsp_1(A)
| ~ v6_vectsp_1(A)
| v3_struct_0(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc4_vectsp_1]) ).
fof(f_2607_2,plain,
! [U_6754] :
( ( v2_group_1(U_6754)
& ~ v3_struct_0(U_6754) )
| ~ v8_vectsp_1(U_6754)
| ~ v6_vectsp_1(U_6754)
| v3_struct_0(U_6754)
| ~ l1_vectsp_1(U_6754) ),
inference(variable_rename,[status(thm)],[f_2607_1]) ).
fof(f_2607_3,plain,
( ! [U_6754] :
( v2_group_1(U_6754)
| ~ sP1204(U_6754) )
& ! [U_6754] :
( ~ v3_struct_0(U_6754)
| ~ sP1204(U_6754) )
& ! [U_6754] :
( sP1204(U_6754)
| ~ v8_vectsp_1(U_6754)
| ~ v6_vectsp_1(U_6754)
| v3_struct_0(U_6754)
| ~ l1_vectsp_1(U_6754) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1204])],[f_2607_2]) ).
cnf(f_2607_4,plain,
( sP1204(U_6754)
| ~ v8_vectsp_1(U_6754)
| ~ v6_vectsp_1(U_6754)
| v3_struct_0(U_6754)
| ~ l1_vectsp_1(U_6754) ),
inference(clausify,[status(thm)],[f_2607_3]) ).
cnf(f_2607_5,plain,
( ~ v3_struct_0(U_6754)
| ~ sP1204(U_6754) ),
inference(clausify,[status(thm)],[f_2607_3]) ).
cnf(f_2607_6,plain,
( v2_group_1(U_6754)
| ~ sP1204(U_6754) ),
inference(clausify,[status(thm)],[f_2607_3]) ).
fof(f_2608_1,plain,
? [A] :
( v7_group_1(A)
& v4_group_1(A)
& ~ v3_struct_0(A)
& l1_group_1(A) ),
inference(fof_nnf,[status(thm)],[rc8_vectsp_1]) ).
fof(f_2608_2,plain,
? [U_6755] :
( v7_group_1(U_6755)
& v4_group_1(U_6755)
& ~ v3_struct_0(U_6755)
& l1_group_1(U_6755) ),
inference(variable_rename,[status(thm)],[f_2608_1]) ).
fof(f_2608_3,plain,
( v7_group_1(sK829)
& v4_group_1(sK829)
& ~ v3_struct_0(sK829)
& l1_group_1(sK829) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK829]),skolemize(U_6755,sK829)],[f_2608_2]) ).
fof(f_2608_4,plain,
( v7_group_1(sK829)
& v4_group_1(sK829)
& ~ v3_struct_0(sK829)
& l1_group_1(sK829) ),
inference(definitional_conversion,[status(esa)],[f_2608_3]) ).
cnf(f_2608_5,plain,
l1_group_1(sK829),
inference(clausify,[status(thm)],[f_2608_4]) ).
cnf(f_2608_6,plain,
~ v3_struct_0(sK829),
inference(clausify,[status(thm)],[f_2608_4]) ).
cnf(f_2608_7,plain,
v4_group_1(sK829),
inference(clausify,[status(thm)],[f_2608_4]) ).
cnf(f_2608_8,plain,
v7_group_1(sK829),
inference(clausify,[status(thm)],[f_2608_4]) ).
fof(f_2609_1,plain,
? [A] :
( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A)
& l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc9_vectsp_1]) ).
fof(f_2609_2,plain,
? [U_6756] :
( v8_vectsp_1(U_6756)
& v6_vectsp_1(U_6756)
& v7_group_1(U_6756)
& v4_group_1(U_6756)
& v2_group_1(U_6756)
& ~ v3_struct_0(U_6756)
& l1_vectsp_1(U_6756) ),
inference(variable_rename,[status(thm)],[f_2609_1]) ).
fof(f_2609_3,plain,
( v8_vectsp_1(sK830)
& v6_vectsp_1(sK830)
& v7_group_1(sK830)
& v4_group_1(sK830)
& v2_group_1(sK830)
& ~ v3_struct_0(sK830)
& l1_vectsp_1(sK830) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK830]),skolemize(U_6756,sK830)],[f_2609_2]) ).
fof(f_2609_4,plain,
( v8_vectsp_1(sK830)
& v6_vectsp_1(sK830)
& v7_group_1(sK830)
& v4_group_1(sK830)
& v2_group_1(sK830)
& ~ v3_struct_0(sK830)
& l1_vectsp_1(sK830) ),
inference(definitional_conversion,[status(esa)],[f_2609_3]) ).
cnf(f_2609_5,plain,
l1_vectsp_1(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
cnf(f_2609_6,plain,
~ v3_struct_0(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
cnf(f_2609_7,plain,
v2_group_1(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
cnf(f_2609_8,plain,
v4_group_1(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
cnf(f_2609_9,plain,
v7_group_1(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
cnf(f_2609_10,plain,
v6_vectsp_1(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
cnf(f_2609_11,plain,
v8_vectsp_1(sK830),
inference(clausify,[status(thm)],[f_2609_4]) ).
fof(f_2610_1,plain,
? [A] :
( ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc10_vectsp_1]) ).
fof(f_2610_2,plain,
? [U_6757] :
( ~ v10_vectsp_1(U_6757)
& v9_vectsp_1(U_6757)
& v8_vectsp_1(U_6757)
& v7_vectsp_1(U_6757)
& v6_vectsp_1(U_6757)
& v5_vectsp_1(U_6757)
& v4_vectsp_1(U_6757)
& v3_vectsp_1(U_6757)
& v7_group_1(U_6757)
& v4_group_1(U_6757)
& v2_group_1(U_6757)
& v6_rlvect_1(U_6757)
& v5_rlvect_1(U_6757)
& v4_rlvect_1(U_6757)
& v3_rlvect_1(U_6757)
& ~ v3_struct_0(U_6757)
& l3_vectsp_1(U_6757) ),
inference(variable_rename,[status(thm)],[f_2610_1]) ).
fof(f_2610_3,plain,
( ~ v10_vectsp_1(sK831)
& v9_vectsp_1(sK831)
& v8_vectsp_1(sK831)
& v7_vectsp_1(sK831)
& v6_vectsp_1(sK831)
& v5_vectsp_1(sK831)
& v4_vectsp_1(sK831)
& v3_vectsp_1(sK831)
& v7_group_1(sK831)
& v4_group_1(sK831)
& v2_group_1(sK831)
& v6_rlvect_1(sK831)
& v5_rlvect_1(sK831)
& v4_rlvect_1(sK831)
& v3_rlvect_1(sK831)
& ~ v3_struct_0(sK831)
& l3_vectsp_1(sK831) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK831]),skolemize(U_6757,sK831)],[f_2610_2]) ).
fof(f_2610_4,plain,
( ~ v10_vectsp_1(sK831)
& v9_vectsp_1(sK831)
& v8_vectsp_1(sK831)
& v7_vectsp_1(sK831)
& v6_vectsp_1(sK831)
& v5_vectsp_1(sK831)
& v4_vectsp_1(sK831)
& v3_vectsp_1(sK831)
& v7_group_1(sK831)
& v4_group_1(sK831)
& v2_group_1(sK831)
& v6_rlvect_1(sK831)
& v5_rlvect_1(sK831)
& v4_rlvect_1(sK831)
& v3_rlvect_1(sK831)
& ~ v3_struct_0(sK831)
& l3_vectsp_1(sK831) ),
inference(definitional_conversion,[status(esa)],[f_2610_3]) ).
cnf(f_2610_5,plain,
l3_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_6,plain,
~ v3_struct_0(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_7,plain,
v3_rlvect_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_8,plain,
v4_rlvect_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_9,plain,
v5_rlvect_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_10,plain,
v6_rlvect_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_11,plain,
v2_group_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_12,plain,
v4_group_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_13,plain,
v7_group_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_14,plain,
v3_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_15,plain,
v4_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_16,plain,
v5_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_17,plain,
v6_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_18,plain,
v7_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_19,plain,
v8_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_20,plain,
v9_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
cnf(f_2610_21,plain,
~ v10_vectsp_1(sK831),
inference(clausify,[status(thm)],[f_2610_4]) ).
fof(f_2611_1,plain,
! [A] :
( ? [B] :
( v11_vectsp_1(B,A)
& l4_vectsp_1(B,A) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc11_vectsp_1]) ).
fof(f_2611_2,plain,
! [U_6759] :
( ? [U_6758] :
( v11_vectsp_1(U_6758,U_6759)
& l4_vectsp_1(U_6758,U_6759) )
| ~ l1_struct_0(U_6759) ),
inference(variable_rename,[status(thm)],[f_2611_1]) ).
fof(f_2611_3,plain,
! [U_6759] :
( ( v11_vectsp_1(sK832(U_6759),U_6759)
& l4_vectsp_1(sK832(U_6759),U_6759) )
| ~ l1_struct_0(U_6759) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK832]),skolemize(U_6758,sK832(U_6759))],[f_2611_2]) ).
fof(f_2611_4,plain,
( ! [U_6759] :
( v11_vectsp_1(sK832(U_6759),U_6759)
| ~ sP1205(U_6759) )
& ! [U_6759] :
( l4_vectsp_1(sK832(U_6759),U_6759)
| ~ sP1205(U_6759) )
& ! [U_6759] :
( sP1205(U_6759)
| ~ l1_struct_0(U_6759) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1205])],[f_2611_3]) ).
cnf(f_2611_5,plain,
( sP1205(U_6759)
| ~ l1_struct_0(U_6759) ),
inference(clausify,[status(thm)],[f_2611_4]) ).
cnf(f_2611_6,plain,
( l4_vectsp_1(sK832(U_6759),U_6759)
| ~ sP1205(U_6759) ),
inference(clausify,[status(thm)],[f_2611_4]) ).
cnf(f_2611_7,plain,
( v11_vectsp_1(sK832(U_6759),U_6759)
| ~ sP1205(U_6759) ),
inference(clausify,[status(thm)],[f_2611_4]) ).
fof(f_2612_1,plain,
! [A] :
( ? [B] :
( v11_vectsp_1(B,A)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc12_vectsp_1]) ).
fof(f_2612_2,plain,
! [U_6761] :
( ? [U_6760] :
( v11_vectsp_1(U_6760,U_6761)
& ~ v3_struct_0(U_6760)
& l4_vectsp_1(U_6760,U_6761) )
| ~ l1_struct_0(U_6761) ),
inference(variable_rename,[status(thm)],[f_2612_1]) ).
fof(f_2612_3,plain,
! [U_6761] :
( ( v11_vectsp_1(sK833(U_6761),U_6761)
& ~ v3_struct_0(sK833(U_6761))
& l4_vectsp_1(sK833(U_6761),U_6761) )
| ~ l1_struct_0(U_6761) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK833]),skolemize(U_6760,sK833(U_6761))],[f_2612_2]) ).
fof(f_2612_4,plain,
( ! [U_6761] :
( v11_vectsp_1(sK833(U_6761),U_6761)
| ~ sP1206(U_6761) )
& ! [U_6761] :
( ~ v3_struct_0(sK833(U_6761))
| ~ sP1206(U_6761) )
& ! [U_6761] :
( l4_vectsp_1(sK833(U_6761),U_6761)
| ~ sP1206(U_6761) )
& ! [U_6761] :
( sP1206(U_6761)
| ~ l1_struct_0(U_6761) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1206])],[f_2612_3]) ).
cnf(f_2612_5,plain,
( sP1206(U_6761)
| ~ l1_struct_0(U_6761) ),
inference(clausify,[status(thm)],[f_2612_4]) ).
cnf(f_2612_6,plain,
( l4_vectsp_1(sK833(U_6761),U_6761)
| ~ sP1206(U_6761) ),
inference(clausify,[status(thm)],[f_2612_4]) ).
cnf(f_2612_7,plain,
( ~ v3_struct_0(sK833(U_6761))
| ~ sP1206(U_6761) ),
inference(clausify,[status(thm)],[f_2612_4]) ).
cnf(f_2612_8,plain,
( v11_vectsp_1(sK833(U_6761),U_6761)
| ~ sP1206(U_6761) ),
inference(clausify,[status(thm)],[f_2612_4]) ).
fof(f_2613_1,plain,
! [A,B,C,D,E] :
( ( v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A)
& ~ v3_struct_0(g4_vectsp_1(A,B,C,D,E)) )
| ~ m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B)
| ~ v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B)
| ~ v1_funct_1(E)
| ~ m1_subset_1(D,B)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| v1_xboole_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc6_vectsp_1]) ).
fof(f_2613_2,plain,
! [U_6766,U_6765,U_6764,U_6763,U_6762] :
( ( v11_vectsp_1(g4_vectsp_1(U_6766,U_6765,U_6764,U_6763,U_6762),U_6766)
& ~ v3_struct_0(g4_vectsp_1(U_6766,U_6765,U_6764,U_6763,U_6762)) )
| ~ m1_relset_1(U_6762,k2_zfmisc_1(u1_struct_0(U_6766),U_6765),U_6765)
| ~ v1_funct_2(U_6762,k2_zfmisc_1(u1_struct_0(U_6766),U_6765),U_6765)
| ~ v1_funct_1(U_6762)
| ~ m1_subset_1(U_6763,U_6765)
| ~ m1_relset_1(U_6764,k2_zfmisc_1(U_6765,U_6765),U_6765)
| ~ v1_funct_2(U_6764,k2_zfmisc_1(U_6765,U_6765),U_6765)
| ~ v1_funct_1(U_6764)
| v1_xboole_0(U_6765)
| ~ l1_struct_0(U_6766) ),
inference(variable_rename,[status(thm)],[f_2613_1]) ).
fof(f_2613_3,plain,
( ! [U_6764,U_6765,U_6762,U_6763,U_6766] :
( v11_vectsp_1(g4_vectsp_1(U_6766,U_6765,U_6764,U_6763,U_6762),U_6766)
| ~ sP1207(U_6764,U_6765,U_6762,U_6763,U_6766) )
& ! [U_6764,U_6765,U_6762,U_6763,U_6766] :
( ~ v3_struct_0(g4_vectsp_1(U_6766,U_6765,U_6764,U_6763,U_6762))
| ~ sP1207(U_6764,U_6765,U_6762,U_6763,U_6766) )
& ! [U_6764,U_6765,U_6762,U_6763,U_6766] :
( sP1207(U_6764,U_6765,U_6762,U_6763,U_6766)
| ~ m1_relset_1(U_6762,k2_zfmisc_1(u1_struct_0(U_6766),U_6765),U_6765)
| ~ v1_funct_2(U_6762,k2_zfmisc_1(u1_struct_0(U_6766),U_6765),U_6765)
| ~ v1_funct_1(U_6762)
| ~ m1_subset_1(U_6763,U_6765)
| ~ m1_relset_1(U_6764,k2_zfmisc_1(U_6765,U_6765),U_6765)
| ~ v1_funct_2(U_6764,k2_zfmisc_1(U_6765,U_6765),U_6765)
| ~ v1_funct_1(U_6764)
| v1_xboole_0(U_6765)
| ~ l1_struct_0(U_6766) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1207])],[f_2613_2]) ).
cnf(f_2613_4,plain,
( sP1207(U_6764,U_6765,U_6762,U_6763,U_6766)
| ~ m1_relset_1(U_6762,k2_zfmisc_1(u1_struct_0(U_6766),U_6765),U_6765)
| ~ v1_funct_2(U_6762,k2_zfmisc_1(u1_struct_0(U_6766),U_6765),U_6765)
| ~ v1_funct_1(U_6762)
| ~ m1_subset_1(U_6763,U_6765)
| ~ m1_relset_1(U_6764,k2_zfmisc_1(U_6765,U_6765),U_6765)
| ~ v1_funct_2(U_6764,k2_zfmisc_1(U_6765,U_6765),U_6765)
| ~ v1_funct_1(U_6764)
| v1_xboole_0(U_6765)
| ~ l1_struct_0(U_6766) ),
inference(clausify,[status(thm)],[f_2613_3]) ).
cnf(f_2613_5,plain,
( ~ v3_struct_0(g4_vectsp_1(U_6766,U_6765,U_6764,U_6763,U_6762))
| ~ sP1207(U_6764,U_6765,U_6762,U_6763,U_6766) ),
inference(clausify,[status(thm)],[f_2613_3]) ).
cnf(f_2613_6,plain,
( v11_vectsp_1(g4_vectsp_1(U_6766,U_6765,U_6764,U_6763,U_6762),U_6766)
| ~ sP1207(U_6764,U_6765,U_6762,U_6763,U_6766) ),
inference(clausify,[status(thm)],[f_2613_3]) ).
fof(f_2614_1,plain,
! [A] :
( ? [B] :
( v12_vectsp_1(B,A)
& v11_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc13_vectsp_1]) ).
fof(f_2614_2,plain,
! [U_6768] :
( ? [U_6767] :
( v12_vectsp_1(U_6767,U_6768)
& v11_vectsp_1(U_6767,U_6768)
& v6_rlvect_1(U_6767)
& v5_rlvect_1(U_6767)
& v4_rlvect_1(U_6767)
& v3_rlvect_1(U_6767)
& ~ v3_struct_0(U_6767)
& l4_vectsp_1(U_6767,U_6768) )
| ~ l3_vectsp_1(U_6768)
| ~ v8_vectsp_1(U_6768)
| ~ v7_vectsp_1(U_6768)
| ~ v4_group_1(U_6768)
| ~ v6_rlvect_1(U_6768)
| ~ v5_rlvect_1(U_6768)
| ~ v4_rlvect_1(U_6768)
| ~ v3_rlvect_1(U_6768)
| v3_struct_0(U_6768) ),
inference(variable_rename,[status(thm)],[f_2614_1]) ).
fof(f_2614_3,plain,
! [U_6768] :
( ( v12_vectsp_1(sK834(U_6768),U_6768)
& v11_vectsp_1(sK834(U_6768),U_6768)
& v6_rlvect_1(sK834(U_6768))
& v5_rlvect_1(sK834(U_6768))
& v4_rlvect_1(sK834(U_6768))
& v3_rlvect_1(sK834(U_6768))
& ~ v3_struct_0(sK834(U_6768))
& l4_vectsp_1(sK834(U_6768),U_6768) )
| ~ l3_vectsp_1(U_6768)
| ~ v8_vectsp_1(U_6768)
| ~ v7_vectsp_1(U_6768)
| ~ v4_group_1(U_6768)
| ~ v6_rlvect_1(U_6768)
| ~ v5_rlvect_1(U_6768)
| ~ v4_rlvect_1(U_6768)
| ~ v3_rlvect_1(U_6768)
| v3_struct_0(U_6768) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK834]),skolemize(U_6767,sK834(U_6768))],[f_2614_2]) ).
fof(f_2614_4,plain,
( ! [U_6768] :
( v12_vectsp_1(sK834(U_6768),U_6768)
| ~ sP1208(U_6768) )
& ! [U_6768] :
( v11_vectsp_1(sK834(U_6768),U_6768)
| ~ sP1208(U_6768) )
& ! [U_6768] :
( v6_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) )
& ! [U_6768] :
( v5_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) )
& ! [U_6768] :
( v4_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) )
& ! [U_6768] :
( v3_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) )
& ! [U_6768] :
( ~ v3_struct_0(sK834(U_6768))
| ~ sP1208(U_6768) )
& ! [U_6768] :
( l4_vectsp_1(sK834(U_6768),U_6768)
| ~ sP1208(U_6768) )
& ! [U_6768] :
( sP1208(U_6768)
| ~ l3_vectsp_1(U_6768)
| ~ v8_vectsp_1(U_6768)
| ~ v7_vectsp_1(U_6768)
| ~ v4_group_1(U_6768)
| ~ v6_rlvect_1(U_6768)
| ~ v5_rlvect_1(U_6768)
| ~ v4_rlvect_1(U_6768)
| ~ v3_rlvect_1(U_6768)
| v3_struct_0(U_6768) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1208])],[f_2614_3]) ).
cnf(f_2614_5,plain,
( sP1208(U_6768)
| ~ l3_vectsp_1(U_6768)
| ~ v8_vectsp_1(U_6768)
| ~ v7_vectsp_1(U_6768)
| ~ v4_group_1(U_6768)
| ~ v6_rlvect_1(U_6768)
| ~ v5_rlvect_1(U_6768)
| ~ v4_rlvect_1(U_6768)
| ~ v3_rlvect_1(U_6768)
| v3_struct_0(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_6,plain,
( l4_vectsp_1(sK834(U_6768),U_6768)
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_7,plain,
( ~ v3_struct_0(sK834(U_6768))
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_8,plain,
( v3_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_9,plain,
( v4_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_10,plain,
( v5_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_11,plain,
( v6_rlvect_1(sK834(U_6768))
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_12,plain,
( v11_vectsp_1(sK834(U_6768),U_6768)
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
cnf(f_2614_13,plain,
( v12_vectsp_1(sK834(U_6768),U_6768)
| ~ sP1208(U_6768) ),
inference(clausify,[status(thm)],[f_2614_4]) ).
fof(f_2615_1,plain,
! [A] :
( ( v6_vectsp_1(A)
& ~ v3_struct_0(A) )
| ~ v8_vectsp_1(A)
| ~ v7_group_1(A)
| v3_struct_0(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc5_vectsp_1]) ).
fof(f_2615_2,plain,
! [U_6769] :
( ( v6_vectsp_1(U_6769)
& ~ v3_struct_0(U_6769) )
| ~ v8_vectsp_1(U_6769)
| ~ v7_group_1(U_6769)
| v3_struct_0(U_6769)
| ~ l1_vectsp_1(U_6769) ),
inference(variable_rename,[status(thm)],[f_2615_1]) ).
fof(f_2615_3,plain,
( ! [U_6769] :
( v6_vectsp_1(U_6769)
| ~ sP1209(U_6769) )
& ! [U_6769] :
( ~ v3_struct_0(U_6769)
| ~ sP1209(U_6769) )
& ! [U_6769] :
( sP1209(U_6769)
| ~ v8_vectsp_1(U_6769)
| ~ v7_group_1(U_6769)
| v3_struct_0(U_6769)
| ~ l1_vectsp_1(U_6769) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1209])],[f_2615_2]) ).
cnf(f_2615_4,plain,
( sP1209(U_6769)
| ~ v8_vectsp_1(U_6769)
| ~ v7_group_1(U_6769)
| v3_struct_0(U_6769)
| ~ l1_vectsp_1(U_6769) ),
inference(clausify,[status(thm)],[f_2615_3]) ).
cnf(f_2615_5,plain,
( ~ v3_struct_0(U_6769)
| ~ sP1209(U_6769) ),
inference(clausify,[status(thm)],[f_2615_3]) ).
cnf(f_2615_6,plain,
( v6_vectsp_1(U_6769)
| ~ sP1209(U_6769) ),
inference(clausify,[status(thm)],[f_2615_3]) ).
fof(f_2616_1,plain,
? [A] :
( v13_vectsp_1(A)
& ~ v3_struct_0(A)
& l1_rlvect_1(A) ),
inference(fof_nnf,[status(thm)],[rc14_vectsp_1]) ).
fof(f_2616_2,plain,
? [U_6770] :
( v13_vectsp_1(U_6770)
& ~ v3_struct_0(U_6770)
& l1_rlvect_1(U_6770) ),
inference(variable_rename,[status(thm)],[f_2616_1]) ).
fof(f_2616_3,plain,
( v13_vectsp_1(sK835)
& ~ v3_struct_0(sK835)
& l1_rlvect_1(sK835) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK835]),skolemize(U_6770,sK835)],[f_2616_2]) ).
fof(f_2616_4,plain,
( v13_vectsp_1(sK835)
& ~ v3_struct_0(sK835)
& l1_rlvect_1(sK835) ),
inference(definitional_conversion,[status(esa)],[f_2616_3]) ).
cnf(f_2616_5,plain,
l1_rlvect_1(sK835),
inference(clausify,[status(thm)],[f_2616_4]) ).
cnf(f_2616_6,plain,
~ v3_struct_0(sK835),
inference(clausify,[status(thm)],[f_2616_4]) ).
cnf(f_2616_7,plain,
v13_vectsp_1(sK835),
inference(clausify,[status(thm)],[f_2616_4]) ).
fof(f_2617_1,plain,
? [A] :
( v13_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc15_vectsp_1]) ).
fof(f_2617_2,plain,
? [U_6771] :
( v13_vectsp_1(U_6771)
& ~ v10_vectsp_1(U_6771)
& v9_vectsp_1(U_6771)
& v8_vectsp_1(U_6771)
& v7_vectsp_1(U_6771)
& v6_vectsp_1(U_6771)
& v5_vectsp_1(U_6771)
& v4_vectsp_1(U_6771)
& v3_vectsp_1(U_6771)
& v7_group_1(U_6771)
& v4_group_1(U_6771)
& v2_group_1(U_6771)
& v6_rlvect_1(U_6771)
& v5_rlvect_1(U_6771)
& v4_rlvect_1(U_6771)
& v3_rlvect_1(U_6771)
& ~ v3_struct_0(U_6771)
& l3_vectsp_1(U_6771) ),
inference(variable_rename,[status(thm)],[f_2617_1]) ).
fof(f_2617_3,plain,
( v13_vectsp_1(sK836)
& ~ v10_vectsp_1(sK836)
& v9_vectsp_1(sK836)
& v8_vectsp_1(sK836)
& v7_vectsp_1(sK836)
& v6_vectsp_1(sK836)
& v5_vectsp_1(sK836)
& v4_vectsp_1(sK836)
& v3_vectsp_1(sK836)
& v7_group_1(sK836)
& v4_group_1(sK836)
& v2_group_1(sK836)
& v6_rlvect_1(sK836)
& v5_rlvect_1(sK836)
& v4_rlvect_1(sK836)
& v3_rlvect_1(sK836)
& ~ v3_struct_0(sK836)
& l3_vectsp_1(sK836) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK836]),skolemize(U_6771,sK836)],[f_2617_2]) ).
fof(f_2617_4,plain,
( v13_vectsp_1(sK836)
& ~ v10_vectsp_1(sK836)
& v9_vectsp_1(sK836)
& v8_vectsp_1(sK836)
& v7_vectsp_1(sK836)
& v6_vectsp_1(sK836)
& v5_vectsp_1(sK836)
& v4_vectsp_1(sK836)
& v3_vectsp_1(sK836)
& v7_group_1(sK836)
& v4_group_1(sK836)
& v2_group_1(sK836)
& v6_rlvect_1(sK836)
& v5_rlvect_1(sK836)
& v4_rlvect_1(sK836)
& v3_rlvect_1(sK836)
& ~ v3_struct_0(sK836)
& l3_vectsp_1(sK836) ),
inference(definitional_conversion,[status(esa)],[f_2617_3]) ).
cnf(f_2617_5,plain,
l3_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_6,plain,
~ v3_struct_0(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_7,plain,
v3_rlvect_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_8,plain,
v4_rlvect_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_9,plain,
v5_rlvect_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_10,plain,
v6_rlvect_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_11,plain,
v2_group_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_12,plain,
v4_group_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_13,plain,
v7_group_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_14,plain,
v3_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_15,plain,
v4_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_16,plain,
v5_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_17,plain,
v6_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_18,plain,
v7_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_19,plain,
v8_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_20,plain,
v9_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_21,plain,
~ v10_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
cnf(f_2617_22,plain,
v13_vectsp_1(sK836),
inference(clausify,[status(thm)],[f_2617_4]) ).
fof(f_2618_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d1_vectsp_1]) ).
fof(f_2618_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2618_1]) ).
cnf(f_2618_3,plain,
$true,
inference(clausify,[status(thm)],[f_2618_2]) ).
fof(f_2619_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d2_vectsp_1]) ).
fof(f_2619_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2619_1]) ).
cnf(f_2619_3,plain,
$true,
inference(clausify,[status(thm)],[f_2619_2]) ).
fof(f_2620_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d3_vectsp_1]) ).
fof(f_2620_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2620_1]) ).
cnf(f_2620_3,plain,
$true,
inference(clausify,[status(thm)],[f_2620_2]) ).
fof(f_2621_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d4_vectsp_1]) ).
fof(f_2621_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2621_1]) ).
cnf(f_2621_3,plain,
$true,
inference(clausify,[status(thm)],[f_2621_2]) ).
fof(f_2622_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d5_vectsp_1]) ).
fof(f_2622_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2622_1]) ).
cnf(f_2622_3,plain,
$true,
inference(clausify,[status(thm)],[f_2622_2]) ).
fof(f_2623_1,plain,
k1_vectsp_1 = g1_rlvect_1(k1_numbers,k33_binop_2,np__0),
inference(fof_nnf,[status(thm)],[d6_vectsp_1]) ).
fof(f_2623_2,plain,
k1_vectsp_1 = g1_rlvect_1(k1_numbers,k33_binop_2,np__0),
inference(definitional_conversion,[status(esa)],[f_2623_1]) ).
cnf(f_2623_3,plain,
k1_vectsp_1 = g1_rlvect_1(k1_numbers,k33_binop_2,np__0),
inference(clausify,[status(thm)],[f_2623_2]) ).
fof(f_2624_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_vectsp_1]) ).
fof(f_2624_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2624_1]) ).
cnf(f_2624_3,plain,
$true,
inference(clausify,[status(thm)],[f_2624_2]) ).
fof(f_2625_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_vectsp_1]) ).
fof(f_2625_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2625_1]) ).
cnf(f_2625_3,plain,
$true,
inference(clausify,[status(thm)],[f_2625_2]) ).
fof(f_2626_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_vectsp_1]) ).
fof(f_2626_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2626_1]) ).
cnf(f_2626_3,plain,
$true,
inference(clausify,[status(thm)],[f_2626_2]) ).
fof(f_2627_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_vectsp_1]) ).
fof(f_2627_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2627_1]) ).
cnf(f_2627_3,plain,
$true,
inference(clausify,[status(thm)],[f_2627_2]) ).
fof(f_2628_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_vectsp_1]) ).
fof(f_2628_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2628_1]) ).
cnf(f_2628_3,plain,
$true,
inference(clausify,[status(thm)],[f_2628_2]) ).
fof(f_2629_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k4_rlvect_1(k1_vectsp_1,A,k5_rlvect_1(k1_vectsp_1,A)) = k1_rlvect_1(k1_vectsp_1)
& k4_rlvect_1(k1_vectsp_1,A,k1_rlvect_1(k1_vectsp_1)) = A
& k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,A,B),C) = k4_rlvect_1(k1_vectsp_1,A,k4_rlvect_1(k1_vectsp_1,B,C))
& k4_rlvect_1(k1_vectsp_1,A,B) = k4_rlvect_1(k1_vectsp_1,B,A) )
| ~ m1_subset_1(C,u1_struct_0(k1_vectsp_1)) )
| ~ m1_subset_1(B,u1_struct_0(k1_vectsp_1)) )
| ~ m1_subset_1(A,u1_struct_0(k1_vectsp_1)) ),
inference(fof_nnf,[status(thm)],[t6_vectsp_1]) ).
fof(f_2629_2,plain,
! [U_6774] :
( ! [U_6773] :
( ! [U_6772] :
( ( k4_rlvect_1(k1_vectsp_1,U_6774,k5_rlvect_1(k1_vectsp_1,U_6774)) = k1_rlvect_1(k1_vectsp_1)
& k4_rlvect_1(k1_vectsp_1,U_6774,k1_rlvect_1(k1_vectsp_1)) = U_6774
& k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,U_6774,U_6773),U_6772) = k4_rlvect_1(k1_vectsp_1,U_6774,k4_rlvect_1(k1_vectsp_1,U_6773,U_6772))
& k4_rlvect_1(k1_vectsp_1,U_6774,U_6773) = k4_rlvect_1(k1_vectsp_1,U_6773,U_6774) )
| ~ m1_subset_1(U_6772,u1_struct_0(k1_vectsp_1)) )
| ~ m1_subset_1(U_6773,u1_struct_0(k1_vectsp_1)) )
| ~ m1_subset_1(U_6774,u1_struct_0(k1_vectsp_1)) ),
inference(variable_rename,[status(thm)],[f_2629_1]) ).
fof(f_2629_3,plain,
( ! [U_6774,U_6773,U_6772] :
( k4_rlvect_1(k1_vectsp_1,U_6774,k5_rlvect_1(k1_vectsp_1,U_6774)) = k1_rlvect_1(k1_vectsp_1)
| ~ sP1210(U_6774,U_6773,U_6772) )
& ! [U_6774,U_6773,U_6772] :
( k4_rlvect_1(k1_vectsp_1,U_6774,k1_rlvect_1(k1_vectsp_1)) = U_6774
| ~ sP1210(U_6774,U_6773,U_6772) )
& ! [U_6774,U_6773,U_6772] :
( k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,U_6774,U_6773),U_6772) = k4_rlvect_1(k1_vectsp_1,U_6774,k4_rlvect_1(k1_vectsp_1,U_6773,U_6772))
| ~ sP1210(U_6774,U_6773,U_6772) )
& ! [U_6774,U_6773,U_6772] :
( k4_rlvect_1(k1_vectsp_1,U_6774,U_6773) = k4_rlvect_1(k1_vectsp_1,U_6773,U_6774)
| ~ sP1210(U_6774,U_6773,U_6772) )
& ! [U_6774,U_6773,U_6772] :
( sP1210(U_6774,U_6773,U_6772)
| ~ m1_subset_1(U_6772,u1_struct_0(k1_vectsp_1))
| ~ m1_subset_1(U_6773,u1_struct_0(k1_vectsp_1))
| ~ m1_subset_1(U_6774,u1_struct_0(k1_vectsp_1)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1210])],[f_2629_2]) ).
cnf(f_2629_4,plain,
( sP1210(U_6774,U_6773,U_6772)
| ~ m1_subset_1(U_6772,u1_struct_0(k1_vectsp_1))
| ~ m1_subset_1(U_6773,u1_struct_0(k1_vectsp_1))
| ~ m1_subset_1(U_6774,u1_struct_0(k1_vectsp_1)) ),
inference(clausify,[status(thm)],[f_2629_3]) ).
cnf(f_2629_5,plain,
( k4_rlvect_1(k1_vectsp_1,U_6774,U_6773) = k4_rlvect_1(k1_vectsp_1,U_6773,U_6774)
| ~ sP1210(U_6774,U_6773,U_6772) ),
inference(clausify,[status(thm)],[f_2629_3]) ).
cnf(f_2629_6,plain,
( k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,U_6774,U_6773),U_6772) = k4_rlvect_1(k1_vectsp_1,U_6774,k4_rlvect_1(k1_vectsp_1,U_6773,U_6772))
| ~ sP1210(U_6774,U_6773,U_6772) ),
inference(clausify,[status(thm)],[f_2629_3]) ).
cnf(f_2629_7,plain,
( k4_rlvect_1(k1_vectsp_1,U_6774,k1_rlvect_1(k1_vectsp_1)) = U_6774
| ~ sP1210(U_6774,U_6773,U_6772) ),
inference(clausify,[status(thm)],[f_2629_3]) ).
cnf(f_2629_8,plain,
( k4_rlvect_1(k1_vectsp_1,U_6774,k5_rlvect_1(k1_vectsp_1,U_6774)) = k1_rlvect_1(k1_vectsp_1)
| ~ sP1210(U_6774,U_6773,U_6772) ),
inference(clausify,[status(thm)],[f_2629_3]) ).
fof(f_2630_1,plain,
! [A] :
( ( ( ! [B] :
( ! [C] :
( ! [D] :
( ( ? [E] :
( k2_rlvect_1(A,B,E) = k1_rlvect_1(A)
& m1_subset_1(E,u1_struct_0(A)) )
& k2_rlvect_1(A,B,k1_rlvect_1(A)) = B
& k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
& k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) )
& ( ( l1_rlvect_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
| ? [B] :
( ? [C] :
( ? [D] :
( ( ! [E] :
( k2_rlvect_1(A,B,E) != k1_rlvect_1(A)
| ~ m1_subset_1(E,u1_struct_0(A)) )
| k2_rlvect_1(A,B,k1_rlvect_1(A)) != B
| k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) != k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
| k2_rlvect_1(A,B,C) != k2_rlvect_1(A,C,B) )
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) ) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_vectsp_1]) ).
fof(f_2630_2,plain,
! [U_6783] :
( ( ( ! [U_6782] :
( ! [U_6781] :
( ! [U_6780] :
( ( ? [U_6779] :
( k2_rlvect_1(U_6783,U_6782,U_6779) = k1_rlvect_1(U_6783)
& m1_subset_1(U_6779,u1_struct_0(U_6783)) )
& k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
& k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
& k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782) )
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783)) )
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783) )
& ( ( l1_rlvect_1(U_6783)
& v6_rlvect_1(U_6783)
& v5_rlvect_1(U_6783)
& v4_rlvect_1(U_6783)
& v3_rlvect_1(U_6783)
& ~ v3_struct_0(U_6783) )
| ? [U_6778] :
( ? [U_6777] :
( ? [U_6776] :
( ( ! [U_6775] :
( k2_rlvect_1(U_6783,U_6778,U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783)) )
| k2_rlvect_1(U_6783,U_6778,k1_rlvect_1(U_6783)) != U_6778
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6778,U_6777),U_6776) != k2_rlvect_1(U_6783,U_6778,k2_rlvect_1(U_6783,U_6777,U_6776))
| k2_rlvect_1(U_6783,U_6778,U_6777) != k2_rlvect_1(U_6783,U_6777,U_6778) )
& m1_subset_1(U_6776,u1_struct_0(U_6783)) )
& m1_subset_1(U_6777,u1_struct_0(U_6783)) )
& m1_subset_1(U_6778,u1_struct_0(U_6783)) ) ) )
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ),
inference(variable_rename,[status(thm)],[f_2630_1]) ).
fof(f_2630_3,plain,
! [U_6783] :
( ( ( ! [U_6782] :
( ! [U_6781] :
( ! [U_6780] :
( ( ? [U_6779] :
( k2_rlvect_1(U_6783,U_6782,U_6779) = k1_rlvect_1(U_6783)
& m1_subset_1(U_6779,u1_struct_0(U_6783)) )
& k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
& k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
& k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782) )
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783)) )
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783) )
& ( ( l1_rlvect_1(U_6783)
& v6_rlvect_1(U_6783)
& v5_rlvect_1(U_6783)
& v4_rlvect_1(U_6783)
& v3_rlvect_1(U_6783)
& ~ v3_struct_0(U_6783) )
| ( ? [U_6777] :
( ? [U_6776] :
( ( ! [U_6775] :
( k2_rlvect_1(U_6783,sK837(U_6783),U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783)) )
| k2_rlvect_1(U_6783,sK837(U_6783),k1_rlvect_1(U_6783)) != sK837(U_6783)
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,sK837(U_6783),U_6777),U_6776) != k2_rlvect_1(U_6783,sK837(U_6783),k2_rlvect_1(U_6783,U_6777,U_6776))
| k2_rlvect_1(U_6783,sK837(U_6783),U_6777) != k2_rlvect_1(U_6783,U_6777,sK837(U_6783)) )
& m1_subset_1(U_6776,u1_struct_0(U_6783)) )
& m1_subset_1(U_6777,u1_struct_0(U_6783)) )
& m1_subset_1(sK837(U_6783),u1_struct_0(U_6783)) ) ) )
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK837]),skolemize(U_6778,sK837(U_6783))],[f_2630_2]) ).
fof(f_2630_4,plain,
! [U_6783] :
( ( ( ! [U_6782] :
( ! [U_6781] :
( ! [U_6780] :
( ( ? [U_6779] :
( k2_rlvect_1(U_6783,U_6782,U_6779) = k1_rlvect_1(U_6783)
& m1_subset_1(U_6779,u1_struct_0(U_6783)) )
& k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
& k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
& k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782) )
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783)) )
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783) )
& ( ( l1_rlvect_1(U_6783)
& v6_rlvect_1(U_6783)
& v5_rlvect_1(U_6783)
& v4_rlvect_1(U_6783)
& v3_rlvect_1(U_6783)
& ~ v3_struct_0(U_6783) )
| ( ? [U_6776] :
( ( ! [U_6775] :
( k2_rlvect_1(U_6783,sK837(U_6783),U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783)) )
| k2_rlvect_1(U_6783,sK837(U_6783),k1_rlvect_1(U_6783)) != sK837(U_6783)
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)),U_6776) != k2_rlvect_1(U_6783,sK837(U_6783),k2_rlvect_1(U_6783,sK838(U_6783),U_6776))
| k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)) != k2_rlvect_1(U_6783,sK838(U_6783),sK837(U_6783)) )
& m1_subset_1(U_6776,u1_struct_0(U_6783)) )
& m1_subset_1(sK838(U_6783),u1_struct_0(U_6783))
& m1_subset_1(sK837(U_6783),u1_struct_0(U_6783)) ) ) )
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK838]),skolemize(U_6777,sK838(U_6783))],[f_2630_3]) ).
fof(f_2630_5,plain,
! [U_6783] :
( ( ( ! [U_6782] :
( ! [U_6781] :
( ! [U_6780] :
( ( ? [U_6779] :
( k2_rlvect_1(U_6783,U_6782,U_6779) = k1_rlvect_1(U_6783)
& m1_subset_1(U_6779,u1_struct_0(U_6783)) )
& k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
& k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
& k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782) )
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783)) )
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783) )
& ( ( l1_rlvect_1(U_6783)
& v6_rlvect_1(U_6783)
& v5_rlvect_1(U_6783)
& v4_rlvect_1(U_6783)
& v3_rlvect_1(U_6783)
& ~ v3_struct_0(U_6783) )
| ( ( ! [U_6775] :
( k2_rlvect_1(U_6783,sK837(U_6783),U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783)) )
| k2_rlvect_1(U_6783,sK837(U_6783),k1_rlvect_1(U_6783)) != sK837(U_6783)
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)),sK839(U_6783)) != k2_rlvect_1(U_6783,sK837(U_6783),k2_rlvect_1(U_6783,sK838(U_6783),sK839(U_6783)))
| k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)) != k2_rlvect_1(U_6783,sK838(U_6783),sK837(U_6783)) )
& m1_subset_1(sK839(U_6783),u1_struct_0(U_6783))
& m1_subset_1(sK838(U_6783),u1_struct_0(U_6783))
& m1_subset_1(sK837(U_6783),u1_struct_0(U_6783)) ) ) )
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK839]),skolemize(U_6776,sK839(U_6783))],[f_2630_4]) ).
fof(f_2630_6,plain,
! [U_6783] :
( ( ( ! [U_6782] :
( ! [U_6781] :
( ! [U_6780] :
( ( k2_rlvect_1(U_6783,U_6782,sK840(U_6783,U_6782,U_6781,U_6780)) = k1_rlvect_1(U_6783)
& m1_subset_1(sK840(U_6783,U_6782,U_6781,U_6780),u1_struct_0(U_6783))
& k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
& k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
& k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782) )
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783)) )
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783)) )
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783) )
& ( ( l1_rlvect_1(U_6783)
& v6_rlvect_1(U_6783)
& v5_rlvect_1(U_6783)
& v4_rlvect_1(U_6783)
& v3_rlvect_1(U_6783)
& ~ v3_struct_0(U_6783) )
| ( ( ! [U_6775] :
( k2_rlvect_1(U_6783,sK837(U_6783),U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783)) )
| k2_rlvect_1(U_6783,sK837(U_6783),k1_rlvect_1(U_6783)) != sK837(U_6783)
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)),sK839(U_6783)) != k2_rlvect_1(U_6783,sK837(U_6783),k2_rlvect_1(U_6783,sK838(U_6783),sK839(U_6783)))
| k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)) != k2_rlvect_1(U_6783,sK838(U_6783),sK837(U_6783)) )
& m1_subset_1(sK839(U_6783),u1_struct_0(U_6783))
& m1_subset_1(sK838(U_6783),u1_struct_0(U_6783))
& m1_subset_1(sK837(U_6783),u1_struct_0(U_6783)) ) ) )
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK840]),skolemize(U_6779,sK840(U_6783,U_6782,U_6781,U_6780))],[f_2630_5]) ).
fof(f_2630_7,plain,
( ! [U_6780,U_6781,U_6782,U_6783] :
( k2_rlvect_1(U_6783,U_6782,sK840(U_6783,U_6782,U_6781,U_6780)) = k1_rlvect_1(U_6783)
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) )
& ! [U_6780,U_6781,U_6782,U_6783] :
( m1_subset_1(sK840(U_6783,U_6782,U_6781,U_6780),u1_struct_0(U_6783))
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) )
& ! [U_6780,U_6781,U_6782,U_6783] :
( k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) )
& ! [U_6780,U_6781,U_6782,U_6783] :
( k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) )
& ! [U_6780,U_6781,U_6782,U_6783] :
( k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782)
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) )
& ! [U_6783] :
( l1_rlvect_1(U_6783)
| ~ sP1212(U_6783) )
& ! [U_6783] :
( v6_rlvect_1(U_6783)
| ~ sP1212(U_6783) )
& ! [U_6783] :
( v5_rlvect_1(U_6783)
| ~ sP1212(U_6783) )
& ! [U_6783] :
( v4_rlvect_1(U_6783)
| ~ sP1212(U_6783) )
& ! [U_6783] :
( v3_rlvect_1(U_6783)
| ~ sP1212(U_6783) )
& ! [U_6783] :
( ~ v3_struct_0(U_6783)
| ~ sP1212(U_6783) )
& ! [U_6775,U_6783] :
( k2_rlvect_1(U_6783,sK837(U_6783),U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783))
| k2_rlvect_1(U_6783,sK837(U_6783),k1_rlvect_1(U_6783)) != sK837(U_6783)
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)),sK839(U_6783)) != k2_rlvect_1(U_6783,sK837(U_6783),k2_rlvect_1(U_6783,sK838(U_6783),sK839(U_6783)))
| k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)) != k2_rlvect_1(U_6783,sK838(U_6783),sK837(U_6783))
| ~ sP1211(U_6775,U_6783) )
& ! [U_6775,U_6783] :
( m1_subset_1(sK839(U_6783),u1_struct_0(U_6783))
| ~ sP1211(U_6775,U_6783) )
& ! [U_6775,U_6783] :
( m1_subset_1(sK838(U_6783),u1_struct_0(U_6783))
| ~ sP1211(U_6775,U_6783) )
& ! [U_6775,U_6783] :
( m1_subset_1(sK837(U_6783),u1_struct_0(U_6783))
| ~ sP1211(U_6775,U_6783) )
& ! [U_6775,U_6780,U_6781,U_6782,U_6783] :
( sP1213(U_6780,U_6781,U_6782,U_6783)
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783))
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783))
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783))
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783)
| ~ sP1214(U_6775,U_6780,U_6781,U_6782,U_6783) )
& ! [U_6775,U_6780,U_6781,U_6782,U_6783] :
( sP1212(U_6783)
| sP1211(U_6775,U_6783)
| ~ sP1214(U_6775,U_6780,U_6781,U_6782,U_6783) )
& ! [U_6775,U_6780,U_6781,U_6782,U_6783] :
( sP1214(U_6775,U_6780,U_6781,U_6782,U_6783)
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1211,sP1212,sP1213,sP1214])],[f_2630_6]) ).
cnf(f_2630_8,plain,
( sP1214(U_6775,U_6780,U_6781,U_6782,U_6783)
| ~ l1_rlvect_1(U_6783)
| v3_struct_0(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_9,plain,
( sP1212(U_6783)
| sP1211(U_6775,U_6783)
| ~ sP1214(U_6775,U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_10,plain,
( sP1213(U_6780,U_6781,U_6782,U_6783)
| ~ m1_subset_1(U_6780,u1_struct_0(U_6783))
| ~ m1_subset_1(U_6781,u1_struct_0(U_6783))
| ~ m1_subset_1(U_6782,u1_struct_0(U_6783))
| ~ l1_rlvect_1(U_6783)
| ~ v6_rlvect_1(U_6783)
| ~ v5_rlvect_1(U_6783)
| ~ v4_rlvect_1(U_6783)
| ~ v3_rlvect_1(U_6783)
| v3_struct_0(U_6783)
| ~ sP1214(U_6775,U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_11,plain,
( m1_subset_1(sK837(U_6783),u1_struct_0(U_6783))
| ~ sP1211(U_6775,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_12,plain,
( m1_subset_1(sK838(U_6783),u1_struct_0(U_6783))
| ~ sP1211(U_6775,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_13,plain,
( m1_subset_1(sK839(U_6783),u1_struct_0(U_6783))
| ~ sP1211(U_6775,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_14,plain,
( k2_rlvect_1(U_6783,sK837(U_6783),U_6775) != k1_rlvect_1(U_6783)
| ~ m1_subset_1(U_6775,u1_struct_0(U_6783))
| k2_rlvect_1(U_6783,sK837(U_6783),k1_rlvect_1(U_6783)) != sK837(U_6783)
| k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)),sK839(U_6783)) != k2_rlvect_1(U_6783,sK837(U_6783),k2_rlvect_1(U_6783,sK838(U_6783),sK839(U_6783)))
| k2_rlvect_1(U_6783,sK837(U_6783),sK838(U_6783)) != k2_rlvect_1(U_6783,sK838(U_6783),sK837(U_6783))
| ~ sP1211(U_6775,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_15,plain,
( ~ v3_struct_0(U_6783)
| ~ sP1212(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_16,plain,
( v3_rlvect_1(U_6783)
| ~ sP1212(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_17,plain,
( v4_rlvect_1(U_6783)
| ~ sP1212(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_18,plain,
( v5_rlvect_1(U_6783)
| ~ sP1212(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_19,plain,
( v6_rlvect_1(U_6783)
| ~ sP1212(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_20,plain,
( l1_rlvect_1(U_6783)
| ~ sP1212(U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_21,plain,
( k2_rlvect_1(U_6783,U_6782,U_6781) = k2_rlvect_1(U_6783,U_6781,U_6782)
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_22,plain,
( k2_rlvect_1(U_6783,k2_rlvect_1(U_6783,U_6782,U_6781),U_6780) = k2_rlvect_1(U_6783,U_6782,k2_rlvect_1(U_6783,U_6781,U_6780))
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_23,plain,
( k2_rlvect_1(U_6783,U_6782,k1_rlvect_1(U_6783)) = U_6782
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_24,plain,
( m1_subset_1(sK840(U_6783,U_6782,U_6781,U_6780),u1_struct_0(U_6783))
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
cnf(f_2630_25,plain,
( k2_rlvect_1(U_6783,U_6782,sK840(U_6783,U_6782,U_6781,U_6780)) = k1_rlvect_1(U_6783)
| ~ sP1213(U_6780,U_6781,U_6782,U_6783) ),
inference(clausify,[status(thm)],[f_2630_7]) ).
fof(f_2631_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d7_vectsp_1]) ).
fof(f_2631_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2631_1]) ).
cnf(f_2631_3,plain,
$true,
inference(clausify,[status(thm)],[f_2631_2]) ).
fof(f_2632_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d8_vectsp_1]) ).
fof(f_2632_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2632_1]) ).
cnf(f_2632_3,plain,
$true,
inference(clausify,[status(thm)],[f_2632_2]) ).
fof(f_2633_1,plain,
! [A] :
( k2_vectsp_1(A) = u1_vectsp_1(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[d9_vectsp_1]) ).
fof(f_2633_2,plain,
! [U_6784] :
( k2_vectsp_1(U_6784) = u1_vectsp_1(U_6784)
| ~ l1_vectsp_1(U_6784) ),
inference(variable_rename,[status(thm)],[f_2633_1]) ).
fof(f_2633_3,plain,
! [U_6784] :
( k2_vectsp_1(U_6784) = u1_vectsp_1(U_6784)
| ~ l1_vectsp_1(U_6784) ),
inference(definitional_conversion,[status(esa)],[f_2633_2]) ).
cnf(f_2633_4,plain,
( k2_vectsp_1(U_6784) = u1_vectsp_1(U_6784)
| ~ l1_vectsp_1(U_6784) ),
inference(clausify,[status(thm)],[f_2633_3]) ).
fof(f_2634_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d10_vectsp_1]) ).
fof(f_2634_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2634_1]) ).
cnf(f_2634_3,plain,
$true,
inference(clausify,[status(thm)],[f_2634_2]) ).
fof(f_2635_1,plain,
! [A] :
( ( ( v4_vectsp_1(A)
| ? [B] :
( ? [C] :
( ? [D] :
( k1_group_1(A,B,k2_rlvect_1(A,C,D)) != k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v4_vectsp_1(A) ) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d11_vectsp_1]) ).
fof(f_2635_2,plain,
! [U_6791] :
( ( ( v4_vectsp_1(U_6791)
| ? [U_6790] :
( ? [U_6789] :
( ? [U_6788] :
( k1_group_1(U_6791,U_6790,k2_rlvect_1(U_6791,U_6789,U_6788)) != k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6790,U_6789),k1_group_1(U_6791,U_6790,U_6788))
& m1_subset_1(U_6788,u1_struct_0(U_6791)) )
& m1_subset_1(U_6789,u1_struct_0(U_6791)) )
& m1_subset_1(U_6790,u1_struct_0(U_6791)) ) )
& ( ! [U_6787] :
( ! [U_6786] :
( ! [U_6785] :
( k1_group_1(U_6791,U_6787,k2_rlvect_1(U_6791,U_6786,U_6785)) = k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6787,U_6786),k1_group_1(U_6791,U_6787,U_6785))
| ~ m1_subset_1(U_6785,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6786,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6787,u1_struct_0(U_6791)) )
| ~ v4_vectsp_1(U_6791) ) )
| ~ l3_vectsp_1(U_6791)
| v3_struct_0(U_6791) ),
inference(variable_rename,[status(thm)],[f_2635_1]) ).
fof(f_2635_3,plain,
! [U_6791] :
( ( ( v4_vectsp_1(U_6791)
| ( ? [U_6789] :
( ? [U_6788] :
( k1_group_1(U_6791,sK841(U_6791),k2_rlvect_1(U_6791,U_6789,U_6788)) != k2_rlvect_1(U_6791,k1_group_1(U_6791,sK841(U_6791),U_6789),k1_group_1(U_6791,sK841(U_6791),U_6788))
& m1_subset_1(U_6788,u1_struct_0(U_6791)) )
& m1_subset_1(U_6789,u1_struct_0(U_6791)) )
& m1_subset_1(sK841(U_6791),u1_struct_0(U_6791)) ) )
& ( ! [U_6787] :
( ! [U_6786] :
( ! [U_6785] :
( k1_group_1(U_6791,U_6787,k2_rlvect_1(U_6791,U_6786,U_6785)) = k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6787,U_6786),k1_group_1(U_6791,U_6787,U_6785))
| ~ m1_subset_1(U_6785,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6786,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6787,u1_struct_0(U_6791)) )
| ~ v4_vectsp_1(U_6791) ) )
| ~ l3_vectsp_1(U_6791)
| v3_struct_0(U_6791) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK841]),skolemize(U_6790,sK841(U_6791))],[f_2635_2]) ).
fof(f_2635_4,plain,
! [U_6791] :
( ( ( v4_vectsp_1(U_6791)
| ( ? [U_6788] :
( k1_group_1(U_6791,sK841(U_6791),k2_rlvect_1(U_6791,sK842(U_6791),U_6788)) != k2_rlvect_1(U_6791,k1_group_1(U_6791,sK841(U_6791),sK842(U_6791)),k1_group_1(U_6791,sK841(U_6791),U_6788))
& m1_subset_1(U_6788,u1_struct_0(U_6791)) )
& m1_subset_1(sK842(U_6791),u1_struct_0(U_6791))
& m1_subset_1(sK841(U_6791),u1_struct_0(U_6791)) ) )
& ( ! [U_6787] :
( ! [U_6786] :
( ! [U_6785] :
( k1_group_1(U_6791,U_6787,k2_rlvect_1(U_6791,U_6786,U_6785)) = k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6787,U_6786),k1_group_1(U_6791,U_6787,U_6785))
| ~ m1_subset_1(U_6785,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6786,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6787,u1_struct_0(U_6791)) )
| ~ v4_vectsp_1(U_6791) ) )
| ~ l3_vectsp_1(U_6791)
| v3_struct_0(U_6791) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK842]),skolemize(U_6789,sK842(U_6791))],[f_2635_3]) ).
fof(f_2635_5,plain,
! [U_6791] :
( ( ( v4_vectsp_1(U_6791)
| ( k1_group_1(U_6791,sK841(U_6791),k2_rlvect_1(U_6791,sK842(U_6791),sK843(U_6791))) != k2_rlvect_1(U_6791,k1_group_1(U_6791,sK841(U_6791),sK842(U_6791)),k1_group_1(U_6791,sK841(U_6791),sK843(U_6791)))
& m1_subset_1(sK843(U_6791),u1_struct_0(U_6791))
& m1_subset_1(sK842(U_6791),u1_struct_0(U_6791))
& m1_subset_1(sK841(U_6791),u1_struct_0(U_6791)) ) )
& ( ! [U_6787] :
( ! [U_6786] :
( ! [U_6785] :
( k1_group_1(U_6791,U_6787,k2_rlvect_1(U_6791,U_6786,U_6785)) = k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6787,U_6786),k1_group_1(U_6791,U_6787,U_6785))
| ~ m1_subset_1(U_6785,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6786,u1_struct_0(U_6791)) )
| ~ m1_subset_1(U_6787,u1_struct_0(U_6791)) )
| ~ v4_vectsp_1(U_6791) ) )
| ~ l3_vectsp_1(U_6791)
| v3_struct_0(U_6791) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK843]),skolemize(U_6788,sK843(U_6791))],[f_2635_4]) ).
fof(f_2635_6,plain,
( ! [U_6791] :
( k1_group_1(U_6791,sK841(U_6791),k2_rlvect_1(U_6791,sK842(U_6791),sK843(U_6791))) != k2_rlvect_1(U_6791,k1_group_1(U_6791,sK841(U_6791),sK842(U_6791)),k1_group_1(U_6791,sK841(U_6791),sK843(U_6791)))
| ~ sP1215(U_6791) )
& ! [U_6791] :
( m1_subset_1(sK843(U_6791),u1_struct_0(U_6791))
| ~ sP1215(U_6791) )
& ! [U_6791] :
( m1_subset_1(sK842(U_6791),u1_struct_0(U_6791))
| ~ sP1215(U_6791) )
& ! [U_6791] :
( m1_subset_1(sK841(U_6791),u1_struct_0(U_6791))
| ~ sP1215(U_6791) )
& ! [U_6786,U_6791,U_6787,U_6785] :
( v4_vectsp_1(U_6791)
| sP1215(U_6791)
| ~ sP1216(U_6786,U_6791,U_6787,U_6785) )
& ! [U_6786,U_6791,U_6787,U_6785] :
( k1_group_1(U_6791,U_6787,k2_rlvect_1(U_6791,U_6786,U_6785)) = k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6787,U_6786),k1_group_1(U_6791,U_6787,U_6785))
| ~ m1_subset_1(U_6785,u1_struct_0(U_6791))
| ~ m1_subset_1(U_6786,u1_struct_0(U_6791))
| ~ m1_subset_1(U_6787,u1_struct_0(U_6791))
| ~ v4_vectsp_1(U_6791)
| ~ sP1216(U_6786,U_6791,U_6787,U_6785) )
& ! [U_6786,U_6791,U_6787,U_6785] :
( sP1216(U_6786,U_6791,U_6787,U_6785)
| ~ l3_vectsp_1(U_6791)
| v3_struct_0(U_6791) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1215,sP1216])],[f_2635_5]) ).
cnf(f_2635_7,plain,
( sP1216(U_6786,U_6791,U_6787,U_6785)
| ~ l3_vectsp_1(U_6791)
| v3_struct_0(U_6791) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
cnf(f_2635_8,plain,
( k1_group_1(U_6791,U_6787,k2_rlvect_1(U_6791,U_6786,U_6785)) = k2_rlvect_1(U_6791,k1_group_1(U_6791,U_6787,U_6786),k1_group_1(U_6791,U_6787,U_6785))
| ~ m1_subset_1(U_6785,u1_struct_0(U_6791))
| ~ m1_subset_1(U_6786,u1_struct_0(U_6791))
| ~ m1_subset_1(U_6787,u1_struct_0(U_6791))
| ~ v4_vectsp_1(U_6791)
| ~ sP1216(U_6786,U_6791,U_6787,U_6785) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
cnf(f_2635_9,plain,
( v4_vectsp_1(U_6791)
| sP1215(U_6791)
| ~ sP1216(U_6786,U_6791,U_6787,U_6785) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
cnf(f_2635_10,plain,
( m1_subset_1(sK841(U_6791),u1_struct_0(U_6791))
| ~ sP1215(U_6791) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
cnf(f_2635_11,plain,
( m1_subset_1(sK842(U_6791),u1_struct_0(U_6791))
| ~ sP1215(U_6791) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
cnf(f_2635_12,plain,
( m1_subset_1(sK843(U_6791),u1_struct_0(U_6791))
| ~ sP1215(U_6791) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
cnf(f_2635_13,plain,
( k1_group_1(U_6791,sK841(U_6791),k2_rlvect_1(U_6791,sK842(U_6791),sK843(U_6791))) != k2_rlvect_1(U_6791,k1_group_1(U_6791,sK841(U_6791),sK842(U_6791)),k1_group_1(U_6791,sK841(U_6791),sK843(U_6791)))
| ~ sP1215(U_6791) ),
inference(clausify,[status(thm)],[f_2635_6]) ).
fof(f_2636_1,plain,
! [A] :
( ( ( v5_vectsp_1(A)
| ? [B] :
( ? [C] :
( ? [D] :
( k1_group_1(A,k2_rlvect_1(A,C,D),B) != k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v5_vectsp_1(A) ) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d12_vectsp_1]) ).
fof(f_2636_2,plain,
! [U_6798] :
( ( ( v5_vectsp_1(U_6798)
| ? [U_6797] :
( ? [U_6796] :
( ? [U_6795] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6796,U_6795),U_6797) != k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6796,U_6797),k1_group_1(U_6798,U_6795,U_6797))
& m1_subset_1(U_6795,u1_struct_0(U_6798)) )
& m1_subset_1(U_6796,u1_struct_0(U_6798)) )
& m1_subset_1(U_6797,u1_struct_0(U_6798)) ) )
& ( ! [U_6794] :
( ! [U_6793] :
( ! [U_6792] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6793,U_6792),U_6794) = k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6793,U_6794),k1_group_1(U_6798,U_6792,U_6794))
| ~ m1_subset_1(U_6792,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6793,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6794,u1_struct_0(U_6798)) )
| ~ v5_vectsp_1(U_6798) ) )
| ~ l3_vectsp_1(U_6798)
| v3_struct_0(U_6798) ),
inference(variable_rename,[status(thm)],[f_2636_1]) ).
fof(f_2636_3,plain,
! [U_6798] :
( ( ( v5_vectsp_1(U_6798)
| ( ? [U_6796] :
( ? [U_6795] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6796,U_6795),sK844(U_6798)) != k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6796,sK844(U_6798)),k1_group_1(U_6798,U_6795,sK844(U_6798)))
& m1_subset_1(U_6795,u1_struct_0(U_6798)) )
& m1_subset_1(U_6796,u1_struct_0(U_6798)) )
& m1_subset_1(sK844(U_6798),u1_struct_0(U_6798)) ) )
& ( ! [U_6794] :
( ! [U_6793] :
( ! [U_6792] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6793,U_6792),U_6794) = k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6793,U_6794),k1_group_1(U_6798,U_6792,U_6794))
| ~ m1_subset_1(U_6792,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6793,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6794,u1_struct_0(U_6798)) )
| ~ v5_vectsp_1(U_6798) ) )
| ~ l3_vectsp_1(U_6798)
| v3_struct_0(U_6798) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK844]),skolemize(U_6797,sK844(U_6798))],[f_2636_2]) ).
fof(f_2636_4,plain,
! [U_6798] :
( ( ( v5_vectsp_1(U_6798)
| ( ? [U_6795] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,sK845(U_6798),U_6795),sK844(U_6798)) != k2_rlvect_1(U_6798,k1_group_1(U_6798,sK845(U_6798),sK844(U_6798)),k1_group_1(U_6798,U_6795,sK844(U_6798)))
& m1_subset_1(U_6795,u1_struct_0(U_6798)) )
& m1_subset_1(sK845(U_6798),u1_struct_0(U_6798))
& m1_subset_1(sK844(U_6798),u1_struct_0(U_6798)) ) )
& ( ! [U_6794] :
( ! [U_6793] :
( ! [U_6792] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6793,U_6792),U_6794) = k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6793,U_6794),k1_group_1(U_6798,U_6792,U_6794))
| ~ m1_subset_1(U_6792,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6793,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6794,u1_struct_0(U_6798)) )
| ~ v5_vectsp_1(U_6798) ) )
| ~ l3_vectsp_1(U_6798)
| v3_struct_0(U_6798) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK845]),skolemize(U_6796,sK845(U_6798))],[f_2636_3]) ).
fof(f_2636_5,plain,
! [U_6798] :
( ( ( v5_vectsp_1(U_6798)
| ( k1_group_1(U_6798,k2_rlvect_1(U_6798,sK845(U_6798),sK846(U_6798)),sK844(U_6798)) != k2_rlvect_1(U_6798,k1_group_1(U_6798,sK845(U_6798),sK844(U_6798)),k1_group_1(U_6798,sK846(U_6798),sK844(U_6798)))
& m1_subset_1(sK846(U_6798),u1_struct_0(U_6798))
& m1_subset_1(sK845(U_6798),u1_struct_0(U_6798))
& m1_subset_1(sK844(U_6798),u1_struct_0(U_6798)) ) )
& ( ! [U_6794] :
( ! [U_6793] :
( ! [U_6792] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6793,U_6792),U_6794) = k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6793,U_6794),k1_group_1(U_6798,U_6792,U_6794))
| ~ m1_subset_1(U_6792,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6793,u1_struct_0(U_6798)) )
| ~ m1_subset_1(U_6794,u1_struct_0(U_6798)) )
| ~ v5_vectsp_1(U_6798) ) )
| ~ l3_vectsp_1(U_6798)
| v3_struct_0(U_6798) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK846]),skolemize(U_6795,sK846(U_6798))],[f_2636_4]) ).
fof(f_2636_6,plain,
( ! [U_6798] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,sK845(U_6798),sK846(U_6798)),sK844(U_6798)) != k2_rlvect_1(U_6798,k1_group_1(U_6798,sK845(U_6798),sK844(U_6798)),k1_group_1(U_6798,sK846(U_6798),sK844(U_6798)))
| ~ sP1217(U_6798) )
& ! [U_6798] :
( m1_subset_1(sK846(U_6798),u1_struct_0(U_6798))
| ~ sP1217(U_6798) )
& ! [U_6798] :
( m1_subset_1(sK845(U_6798),u1_struct_0(U_6798))
| ~ sP1217(U_6798) )
& ! [U_6798] :
( m1_subset_1(sK844(U_6798),u1_struct_0(U_6798))
| ~ sP1217(U_6798) )
& ! [U_6794,U_6798,U_6793,U_6792] :
( v5_vectsp_1(U_6798)
| sP1217(U_6798)
| ~ sP1218(U_6794,U_6798,U_6793,U_6792) )
& ! [U_6794,U_6798,U_6793,U_6792] :
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6793,U_6792),U_6794) = k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6793,U_6794),k1_group_1(U_6798,U_6792,U_6794))
| ~ m1_subset_1(U_6792,u1_struct_0(U_6798))
| ~ m1_subset_1(U_6793,u1_struct_0(U_6798))
| ~ m1_subset_1(U_6794,u1_struct_0(U_6798))
| ~ v5_vectsp_1(U_6798)
| ~ sP1218(U_6794,U_6798,U_6793,U_6792) )
& ! [U_6794,U_6798,U_6793,U_6792] :
( sP1218(U_6794,U_6798,U_6793,U_6792)
| ~ l3_vectsp_1(U_6798)
| v3_struct_0(U_6798) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1217,sP1218])],[f_2636_5]) ).
cnf(f_2636_7,plain,
( sP1218(U_6794,U_6798,U_6793,U_6792)
| ~ l3_vectsp_1(U_6798)
| v3_struct_0(U_6798) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
cnf(f_2636_8,plain,
( k1_group_1(U_6798,k2_rlvect_1(U_6798,U_6793,U_6792),U_6794) = k2_rlvect_1(U_6798,k1_group_1(U_6798,U_6793,U_6794),k1_group_1(U_6798,U_6792,U_6794))
| ~ m1_subset_1(U_6792,u1_struct_0(U_6798))
| ~ m1_subset_1(U_6793,u1_struct_0(U_6798))
| ~ m1_subset_1(U_6794,u1_struct_0(U_6798))
| ~ v5_vectsp_1(U_6798)
| ~ sP1218(U_6794,U_6798,U_6793,U_6792) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
cnf(f_2636_9,plain,
( v5_vectsp_1(U_6798)
| sP1217(U_6798)
| ~ sP1218(U_6794,U_6798,U_6793,U_6792) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
cnf(f_2636_10,plain,
( m1_subset_1(sK844(U_6798),u1_struct_0(U_6798))
| ~ sP1217(U_6798) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
cnf(f_2636_11,plain,
( m1_subset_1(sK845(U_6798),u1_struct_0(U_6798))
| ~ sP1217(U_6798) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
cnf(f_2636_12,plain,
( m1_subset_1(sK846(U_6798),u1_struct_0(U_6798))
| ~ sP1217(U_6798) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
cnf(f_2636_13,plain,
( k1_group_1(U_6798,k2_rlvect_1(U_6798,sK845(U_6798),sK846(U_6798)),sK844(U_6798)) != k2_rlvect_1(U_6798,k1_group_1(U_6798,sK845(U_6798),sK844(U_6798)),k1_group_1(U_6798,sK846(U_6798),sK844(U_6798)))
| ~ sP1217(U_6798) ),
inference(clausify,[status(thm)],[f_2636_6]) ).
fof(f_2637_1,plain,
! [A] :
( ( ( v6_vectsp_1(A)
| ? [B] :
( k1_group_1(A,B,k2_group_1(A)) != B
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( k1_group_1(A,B,k2_group_1(A)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v6_vectsp_1(A) ) )
| ~ l1_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d13_vectsp_1]) ).
fof(f_2637_2,plain,
! [U_6801] :
( ( ( v6_vectsp_1(U_6801)
| ? [U_6800] :
( k1_group_1(U_6801,U_6800,k2_group_1(U_6801)) != U_6800
& m1_subset_1(U_6800,u1_struct_0(U_6801)) ) )
& ( ! [U_6799] :
( k1_group_1(U_6801,U_6799,k2_group_1(U_6801)) = U_6799
| ~ m1_subset_1(U_6799,u1_struct_0(U_6801)) )
| ~ v6_vectsp_1(U_6801) ) )
| ~ l1_vectsp_1(U_6801)
| v3_struct_0(U_6801) ),
inference(variable_rename,[status(thm)],[f_2637_1]) ).
fof(f_2637_3,plain,
! [U_6801] :
( ( ( v6_vectsp_1(U_6801)
| ( k1_group_1(U_6801,sK847(U_6801),k2_group_1(U_6801)) != sK847(U_6801)
& m1_subset_1(sK847(U_6801),u1_struct_0(U_6801)) ) )
& ( ! [U_6799] :
( k1_group_1(U_6801,U_6799,k2_group_1(U_6801)) = U_6799
| ~ m1_subset_1(U_6799,u1_struct_0(U_6801)) )
| ~ v6_vectsp_1(U_6801) ) )
| ~ l1_vectsp_1(U_6801)
| v3_struct_0(U_6801) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK847]),skolemize(U_6800,sK847(U_6801))],[f_2637_2]) ).
fof(f_2637_4,plain,
( ! [U_6801] :
( k1_group_1(U_6801,sK847(U_6801),k2_group_1(U_6801)) != sK847(U_6801)
| ~ sP1219(U_6801) )
& ! [U_6801] :
( m1_subset_1(sK847(U_6801),u1_struct_0(U_6801))
| ~ sP1219(U_6801) )
& ! [U_6801,U_6799] :
( v6_vectsp_1(U_6801)
| sP1219(U_6801)
| ~ sP1220(U_6801,U_6799) )
& ! [U_6801,U_6799] :
( k1_group_1(U_6801,U_6799,k2_group_1(U_6801)) = U_6799
| ~ m1_subset_1(U_6799,u1_struct_0(U_6801))
| ~ v6_vectsp_1(U_6801)
| ~ sP1220(U_6801,U_6799) )
& ! [U_6801,U_6799] :
( sP1220(U_6801,U_6799)
| ~ l1_vectsp_1(U_6801)
| v3_struct_0(U_6801) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1219,sP1220])],[f_2637_3]) ).
cnf(f_2637_5,plain,
( sP1220(U_6801,U_6799)
| ~ l1_vectsp_1(U_6801)
| v3_struct_0(U_6801) ),
inference(clausify,[status(thm)],[f_2637_4]) ).
cnf(f_2637_6,plain,
( k1_group_1(U_6801,U_6799,k2_group_1(U_6801)) = U_6799
| ~ m1_subset_1(U_6799,u1_struct_0(U_6801))
| ~ v6_vectsp_1(U_6801)
| ~ sP1220(U_6801,U_6799) ),
inference(clausify,[status(thm)],[f_2637_4]) ).
cnf(f_2637_7,plain,
( v6_vectsp_1(U_6801)
| sP1219(U_6801)
| ~ sP1220(U_6801,U_6799) ),
inference(clausify,[status(thm)],[f_2637_4]) ).
cnf(f_2637_8,plain,
( m1_subset_1(sK847(U_6801),u1_struct_0(U_6801))
| ~ sP1219(U_6801) ),
inference(clausify,[status(thm)],[f_2637_4]) ).
cnf(f_2637_9,plain,
( k1_group_1(U_6801,sK847(U_6801),k2_group_1(U_6801)) != sK847(U_6801)
| ~ sP1219(U_6801) ),
inference(clausify,[status(thm)],[f_2637_4]) ).
fof(f_2638_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d14_vectsp_1]) ).
fof(f_2638_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2638_1]) ).
cnf(f_2638_3,plain,
$true,
inference(clausify,[status(thm)],[f_2638_2]) ).
fof(f_2639_1,plain,
k3_vectsp_1 = g3_vectsp_1(k1_numbers,k33_binop_2,k35_binop_2,np__1,np__0),
inference(fof_nnf,[status(thm)],[d15_vectsp_1]) ).
fof(f_2639_2,plain,
k3_vectsp_1 = g3_vectsp_1(k1_numbers,k33_binop_2,k35_binop_2,np__1,np__0),
inference(definitional_conversion,[status(esa)],[f_2639_1]) ).
cnf(f_2639_3,plain,
k3_vectsp_1 = g3_vectsp_1(k1_numbers,k33_binop_2,k35_binop_2,np__1,np__0),
inference(clausify,[status(thm)],[f_2639_2]) ).
fof(f_2640_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d16_vectsp_1]) ).
fof(f_2640_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2640_1]) ).
cnf(f_2640_3,plain,
$true,
inference(clausify,[status(thm)],[f_2640_2]) ).
fof(f_2641_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d17_vectsp_1]) ).
fof(f_2641_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2641_1]) ).
cnf(f_2641_3,plain,
$true,
inference(clausify,[status(thm)],[f_2641_2]) ).
fof(f_2642_1,plain,
! [A] :
( ( ( v7_vectsp_1(A)
| ? [B] :
( ? [C] :
( ? [D] :
( ( k1_group_1(A,k2_rlvect_1(A,C,D),B) != k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
| k1_group_1(A,B,k2_rlvect_1(A,C,D)) != k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) )
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( ! [D] :
( ( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v7_vectsp_1(A) ) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d18_vectsp_1]) ).
fof(f_2642_2,plain,
! [U_6808] :
( ( ( v7_vectsp_1(U_6808)
| ? [U_6807] :
( ? [U_6806] :
( ? [U_6805] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6806,U_6805),U_6807) != k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6806,U_6807),k1_group_1(U_6808,U_6805,U_6807))
| k1_group_1(U_6808,U_6807,k2_rlvect_1(U_6808,U_6806,U_6805)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6807,U_6806),k1_group_1(U_6808,U_6807,U_6805)) )
& m1_subset_1(U_6805,u1_struct_0(U_6808)) )
& m1_subset_1(U_6806,u1_struct_0(U_6808)) )
& m1_subset_1(U_6807,u1_struct_0(U_6808)) ) )
& ( ! [U_6804] :
( ! [U_6803] :
( ! [U_6802] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6803,U_6802),U_6804) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6803,U_6804),k1_group_1(U_6808,U_6802,U_6804))
& k1_group_1(U_6808,U_6804,k2_rlvect_1(U_6808,U_6803,U_6802)) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6804,U_6803),k1_group_1(U_6808,U_6804,U_6802)) )
| ~ m1_subset_1(U_6802,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6803,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6804,u1_struct_0(U_6808)) )
| ~ v7_vectsp_1(U_6808) ) )
| ~ l3_vectsp_1(U_6808)
| v3_struct_0(U_6808) ),
inference(variable_rename,[status(thm)],[f_2642_1]) ).
fof(f_2642_3,plain,
! [U_6808] :
( ( ( v7_vectsp_1(U_6808)
| ( ? [U_6806] :
( ? [U_6805] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6806,U_6805),sK848(U_6808)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6806,sK848(U_6808)),k1_group_1(U_6808,U_6805,sK848(U_6808)))
| k1_group_1(U_6808,sK848(U_6808),k2_rlvect_1(U_6808,U_6806,U_6805)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK848(U_6808),U_6806),k1_group_1(U_6808,sK848(U_6808),U_6805)) )
& m1_subset_1(U_6805,u1_struct_0(U_6808)) )
& m1_subset_1(U_6806,u1_struct_0(U_6808)) )
& m1_subset_1(sK848(U_6808),u1_struct_0(U_6808)) ) )
& ( ! [U_6804] :
( ! [U_6803] :
( ! [U_6802] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6803,U_6802),U_6804) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6803,U_6804),k1_group_1(U_6808,U_6802,U_6804))
& k1_group_1(U_6808,U_6804,k2_rlvect_1(U_6808,U_6803,U_6802)) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6804,U_6803),k1_group_1(U_6808,U_6804,U_6802)) )
| ~ m1_subset_1(U_6802,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6803,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6804,u1_struct_0(U_6808)) )
| ~ v7_vectsp_1(U_6808) ) )
| ~ l3_vectsp_1(U_6808)
| v3_struct_0(U_6808) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK848]),skolemize(U_6807,sK848(U_6808))],[f_2642_2]) ).
fof(f_2642_4,plain,
! [U_6808] :
( ( ( v7_vectsp_1(U_6808)
| ( ? [U_6805] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,sK849(U_6808),U_6805),sK848(U_6808)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK849(U_6808),sK848(U_6808)),k1_group_1(U_6808,U_6805,sK848(U_6808)))
| k1_group_1(U_6808,sK848(U_6808),k2_rlvect_1(U_6808,sK849(U_6808),U_6805)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK848(U_6808),sK849(U_6808)),k1_group_1(U_6808,sK848(U_6808),U_6805)) )
& m1_subset_1(U_6805,u1_struct_0(U_6808)) )
& m1_subset_1(sK849(U_6808),u1_struct_0(U_6808))
& m1_subset_1(sK848(U_6808),u1_struct_0(U_6808)) ) )
& ( ! [U_6804] :
( ! [U_6803] :
( ! [U_6802] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6803,U_6802),U_6804) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6803,U_6804),k1_group_1(U_6808,U_6802,U_6804))
& k1_group_1(U_6808,U_6804,k2_rlvect_1(U_6808,U_6803,U_6802)) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6804,U_6803),k1_group_1(U_6808,U_6804,U_6802)) )
| ~ m1_subset_1(U_6802,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6803,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6804,u1_struct_0(U_6808)) )
| ~ v7_vectsp_1(U_6808) ) )
| ~ l3_vectsp_1(U_6808)
| v3_struct_0(U_6808) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK849]),skolemize(U_6806,sK849(U_6808))],[f_2642_3]) ).
fof(f_2642_5,plain,
! [U_6808] :
( ( ( v7_vectsp_1(U_6808)
| ( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,sK849(U_6808),sK850(U_6808)),sK848(U_6808)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK849(U_6808),sK848(U_6808)),k1_group_1(U_6808,sK850(U_6808),sK848(U_6808)))
| k1_group_1(U_6808,sK848(U_6808),k2_rlvect_1(U_6808,sK849(U_6808),sK850(U_6808))) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK848(U_6808),sK849(U_6808)),k1_group_1(U_6808,sK848(U_6808),sK850(U_6808))) )
& m1_subset_1(sK850(U_6808),u1_struct_0(U_6808))
& m1_subset_1(sK849(U_6808),u1_struct_0(U_6808))
& m1_subset_1(sK848(U_6808),u1_struct_0(U_6808)) ) )
& ( ! [U_6804] :
( ! [U_6803] :
( ! [U_6802] :
( ( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6803,U_6802),U_6804) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6803,U_6804),k1_group_1(U_6808,U_6802,U_6804))
& k1_group_1(U_6808,U_6804,k2_rlvect_1(U_6808,U_6803,U_6802)) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6804,U_6803),k1_group_1(U_6808,U_6804,U_6802)) )
| ~ m1_subset_1(U_6802,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6803,u1_struct_0(U_6808)) )
| ~ m1_subset_1(U_6804,u1_struct_0(U_6808)) )
| ~ v7_vectsp_1(U_6808) ) )
| ~ l3_vectsp_1(U_6808)
| v3_struct_0(U_6808) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK850]),skolemize(U_6805,sK850(U_6808))],[f_2642_4]) ).
fof(f_2642_6,plain,
( ! [U_6808] :
( k1_group_1(U_6808,k2_rlvect_1(U_6808,sK849(U_6808),sK850(U_6808)),sK848(U_6808)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK849(U_6808),sK848(U_6808)),k1_group_1(U_6808,sK850(U_6808),sK848(U_6808)))
| k1_group_1(U_6808,sK848(U_6808),k2_rlvect_1(U_6808,sK849(U_6808),sK850(U_6808))) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK848(U_6808),sK849(U_6808)),k1_group_1(U_6808,sK848(U_6808),sK850(U_6808)))
| ~ sP1222(U_6808) )
& ! [U_6808] :
( m1_subset_1(sK850(U_6808),u1_struct_0(U_6808))
| ~ sP1222(U_6808) )
& ! [U_6808] :
( m1_subset_1(sK849(U_6808),u1_struct_0(U_6808))
| ~ sP1222(U_6808) )
& ! [U_6808] :
( m1_subset_1(sK848(U_6808),u1_struct_0(U_6808))
| ~ sP1222(U_6808) )
& ! [U_6804,U_6802,U_6808,U_6803] :
( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6803,U_6802),U_6804) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6803,U_6804),k1_group_1(U_6808,U_6802,U_6804))
| ~ sP1221(U_6804,U_6802,U_6808,U_6803) )
& ! [U_6804,U_6802,U_6808,U_6803] :
( k1_group_1(U_6808,U_6804,k2_rlvect_1(U_6808,U_6803,U_6802)) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6804,U_6803),k1_group_1(U_6808,U_6804,U_6802))
| ~ sP1221(U_6804,U_6802,U_6808,U_6803) )
& ! [U_6804,U_6802,U_6808,U_6803] :
( v7_vectsp_1(U_6808)
| sP1222(U_6808)
| ~ sP1223(U_6804,U_6802,U_6808,U_6803) )
& ! [U_6804,U_6802,U_6808,U_6803] :
( sP1221(U_6804,U_6802,U_6808,U_6803)
| ~ m1_subset_1(U_6802,u1_struct_0(U_6808))
| ~ m1_subset_1(U_6803,u1_struct_0(U_6808))
| ~ m1_subset_1(U_6804,u1_struct_0(U_6808))
| ~ v7_vectsp_1(U_6808)
| ~ sP1223(U_6804,U_6802,U_6808,U_6803) )
& ! [U_6804,U_6802,U_6808,U_6803] :
( sP1223(U_6804,U_6802,U_6808,U_6803)
| ~ l3_vectsp_1(U_6808)
| v3_struct_0(U_6808) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1221,sP1222,sP1223])],[f_2642_5]) ).
cnf(f_2642_7,plain,
( sP1223(U_6804,U_6802,U_6808,U_6803)
| ~ l3_vectsp_1(U_6808)
| v3_struct_0(U_6808) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_8,plain,
( sP1221(U_6804,U_6802,U_6808,U_6803)
| ~ m1_subset_1(U_6802,u1_struct_0(U_6808))
| ~ m1_subset_1(U_6803,u1_struct_0(U_6808))
| ~ m1_subset_1(U_6804,u1_struct_0(U_6808))
| ~ v7_vectsp_1(U_6808)
| ~ sP1223(U_6804,U_6802,U_6808,U_6803) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_9,plain,
( v7_vectsp_1(U_6808)
| sP1222(U_6808)
| ~ sP1223(U_6804,U_6802,U_6808,U_6803) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_10,plain,
( k1_group_1(U_6808,U_6804,k2_rlvect_1(U_6808,U_6803,U_6802)) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6804,U_6803),k1_group_1(U_6808,U_6804,U_6802))
| ~ sP1221(U_6804,U_6802,U_6808,U_6803) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_11,plain,
( k1_group_1(U_6808,k2_rlvect_1(U_6808,U_6803,U_6802),U_6804) = k2_rlvect_1(U_6808,k1_group_1(U_6808,U_6803,U_6804),k1_group_1(U_6808,U_6802,U_6804))
| ~ sP1221(U_6804,U_6802,U_6808,U_6803) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_12,plain,
( m1_subset_1(sK848(U_6808),u1_struct_0(U_6808))
| ~ sP1222(U_6808) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_13,plain,
( m1_subset_1(sK849(U_6808),u1_struct_0(U_6808))
| ~ sP1222(U_6808) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_14,plain,
( m1_subset_1(sK850(U_6808),u1_struct_0(U_6808))
| ~ sP1222(U_6808) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
cnf(f_2642_15,plain,
( k1_group_1(U_6808,k2_rlvect_1(U_6808,sK849(U_6808),sK850(U_6808)),sK848(U_6808)) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK849(U_6808),sK848(U_6808)),k1_group_1(U_6808,sK850(U_6808),sK848(U_6808)))
| k1_group_1(U_6808,sK848(U_6808),k2_rlvect_1(U_6808,sK849(U_6808),sK850(U_6808))) != k2_rlvect_1(U_6808,k1_group_1(U_6808,sK848(U_6808),sK849(U_6808)),k1_group_1(U_6808,sK848(U_6808),sK850(U_6808)))
| ~ sP1222(U_6808) ),
inference(clausify,[status(thm)],[f_2642_6]) ).
fof(f_2643_1,plain,
! [A] :
( ( ( v8_vectsp_1(A)
| ? [B] :
( k1_group_1(A,k2_group_1(A),B) != B
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( k1_group_1(A,k2_group_1(A),B) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v8_vectsp_1(A) ) )
| ~ l1_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d19_vectsp_1]) ).
fof(f_2643_2,plain,
! [U_6811] :
( ( ( v8_vectsp_1(U_6811)
| ? [U_6810] :
( k1_group_1(U_6811,k2_group_1(U_6811),U_6810) != U_6810
& m1_subset_1(U_6810,u1_struct_0(U_6811)) ) )
& ( ! [U_6809] :
( k1_group_1(U_6811,k2_group_1(U_6811),U_6809) = U_6809
| ~ m1_subset_1(U_6809,u1_struct_0(U_6811)) )
| ~ v8_vectsp_1(U_6811) ) )
| ~ l1_vectsp_1(U_6811)
| v3_struct_0(U_6811) ),
inference(variable_rename,[status(thm)],[f_2643_1]) ).
fof(f_2643_3,plain,
! [U_6811] :
( ( ( v8_vectsp_1(U_6811)
| ( k1_group_1(U_6811,k2_group_1(U_6811),sK851(U_6811)) != sK851(U_6811)
& m1_subset_1(sK851(U_6811),u1_struct_0(U_6811)) ) )
& ( ! [U_6809] :
( k1_group_1(U_6811,k2_group_1(U_6811),U_6809) = U_6809
| ~ m1_subset_1(U_6809,u1_struct_0(U_6811)) )
| ~ v8_vectsp_1(U_6811) ) )
| ~ l1_vectsp_1(U_6811)
| v3_struct_0(U_6811) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK851]),skolemize(U_6810,sK851(U_6811))],[f_2643_2]) ).
fof(f_2643_4,plain,
( ! [U_6811] :
( k1_group_1(U_6811,k2_group_1(U_6811),sK851(U_6811)) != sK851(U_6811)
| ~ sP1224(U_6811) )
& ! [U_6811] :
( m1_subset_1(sK851(U_6811),u1_struct_0(U_6811))
| ~ sP1224(U_6811) )
& ! [U_6809,U_6811] :
( v8_vectsp_1(U_6811)
| sP1224(U_6811)
| ~ sP1225(U_6809,U_6811) )
& ! [U_6809,U_6811] :
( k1_group_1(U_6811,k2_group_1(U_6811),U_6809) = U_6809
| ~ m1_subset_1(U_6809,u1_struct_0(U_6811))
| ~ v8_vectsp_1(U_6811)
| ~ sP1225(U_6809,U_6811) )
& ! [U_6809,U_6811] :
( sP1225(U_6809,U_6811)
| ~ l1_vectsp_1(U_6811)
| v3_struct_0(U_6811) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1224,sP1225])],[f_2643_3]) ).
cnf(f_2643_5,plain,
( sP1225(U_6809,U_6811)
| ~ l1_vectsp_1(U_6811)
| v3_struct_0(U_6811) ),
inference(clausify,[status(thm)],[f_2643_4]) ).
cnf(f_2643_6,plain,
( k1_group_1(U_6811,k2_group_1(U_6811),U_6809) = U_6809
| ~ m1_subset_1(U_6809,u1_struct_0(U_6811))
| ~ v8_vectsp_1(U_6811)
| ~ sP1225(U_6809,U_6811) ),
inference(clausify,[status(thm)],[f_2643_4]) ).
cnf(f_2643_7,plain,
( v8_vectsp_1(U_6811)
| sP1224(U_6811)
| ~ sP1225(U_6809,U_6811) ),
inference(clausify,[status(thm)],[f_2643_4]) ).
cnf(f_2643_8,plain,
( m1_subset_1(sK851(U_6811),u1_struct_0(U_6811))
| ~ sP1224(U_6811) ),
inference(clausify,[status(thm)],[f_2643_4]) ).
cnf(f_2643_9,plain,
( k1_group_1(U_6811,k2_group_1(U_6811),sK851(U_6811)) != sK851(U_6811)
| ~ sP1224(U_6811) ),
inference(clausify,[status(thm)],[f_2643_4]) ).
fof(f_2644_1,plain,
! [A] :
( ( ( v9_vectsp_1(A)
| ? [B] :
( ! [C] :
( k1_group_1(A,B,C) != k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
& B != k1_rlvect_1(A)
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ? [C] :
( k1_group_1(A,B,C) = k2_group_1(A)
& m1_subset_1(C,u1_struct_0(A)) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v9_vectsp_1(A) ) )
| ~ l2_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d20_vectsp_1]) ).
fof(f_2644_2,plain,
! [U_6816] :
( ( ( v9_vectsp_1(U_6816)
| ? [U_6815] :
( ! [U_6814] :
( k1_group_1(U_6816,U_6815,U_6814) != k2_group_1(U_6816)
| ~ m1_subset_1(U_6814,u1_struct_0(U_6816)) )
& U_6815 != k1_rlvect_1(U_6816)
& m1_subset_1(U_6815,u1_struct_0(U_6816)) ) )
& ( ! [U_6813] :
( ? [U_6812] :
( k1_group_1(U_6816,U_6813,U_6812) = k2_group_1(U_6816)
& m1_subset_1(U_6812,u1_struct_0(U_6816)) )
| U_6813 = k1_rlvect_1(U_6816)
| ~ m1_subset_1(U_6813,u1_struct_0(U_6816)) )
| ~ v9_vectsp_1(U_6816) ) )
| ~ l2_vectsp_1(U_6816)
| v3_struct_0(U_6816) ),
inference(variable_rename,[status(thm)],[f_2644_1]) ).
fof(f_2644_3,plain,
! [U_6816] :
( ( ( v9_vectsp_1(U_6816)
| ? [U_6815] :
( ! [U_6814] :
( k1_group_1(U_6816,U_6815,U_6814) != k2_group_1(U_6816)
| ~ m1_subset_1(U_6814,u1_struct_0(U_6816)) )
& U_6815 != k1_rlvect_1(U_6816)
& m1_subset_1(U_6815,u1_struct_0(U_6816)) ) )
& ( ! [U_6813] :
( ( k1_group_1(U_6816,U_6813,sK852(U_6816,U_6813)) = k2_group_1(U_6816)
& m1_subset_1(sK852(U_6816,U_6813),u1_struct_0(U_6816)) )
| U_6813 = k1_rlvect_1(U_6816)
| ~ m1_subset_1(U_6813,u1_struct_0(U_6816)) )
| ~ v9_vectsp_1(U_6816) ) )
| ~ l2_vectsp_1(U_6816)
| v3_struct_0(U_6816) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK852]),skolemize(U_6812,sK852(U_6816,U_6813))],[f_2644_2]) ).
fof(f_2644_4,plain,
! [U_6816] :
( ( ( v9_vectsp_1(U_6816)
| ( ! [U_6814] :
( k1_group_1(U_6816,sK853(U_6816),U_6814) != k2_group_1(U_6816)
| ~ m1_subset_1(U_6814,u1_struct_0(U_6816)) )
& sK853(U_6816) != k1_rlvect_1(U_6816)
& m1_subset_1(sK853(U_6816),u1_struct_0(U_6816)) ) )
& ( ! [U_6813] :
( ( k1_group_1(U_6816,U_6813,sK852(U_6816,U_6813)) = k2_group_1(U_6816)
& m1_subset_1(sK852(U_6816,U_6813),u1_struct_0(U_6816)) )
| U_6813 = k1_rlvect_1(U_6816)
| ~ m1_subset_1(U_6813,u1_struct_0(U_6816)) )
| ~ v9_vectsp_1(U_6816) ) )
| ~ l2_vectsp_1(U_6816)
| v3_struct_0(U_6816) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK853]),skolemize(U_6815,sK853(U_6816))],[f_2644_3]) ).
fof(f_2644_5,plain,
( ! [U_6816,U_6814] :
( k1_group_1(U_6816,sK853(U_6816),U_6814) != k2_group_1(U_6816)
| ~ m1_subset_1(U_6814,u1_struct_0(U_6816))
| ~ sP1227(U_6816,U_6814) )
& ! [U_6816,U_6814] :
( sK853(U_6816) != k1_rlvect_1(U_6816)
| ~ sP1227(U_6816,U_6814) )
& ! [U_6816,U_6814] :
( m1_subset_1(sK853(U_6816),u1_struct_0(U_6816))
| ~ sP1227(U_6816,U_6814) )
& ! [U_6816,U_6813] :
( k1_group_1(U_6816,U_6813,sK852(U_6816,U_6813)) = k2_group_1(U_6816)
| ~ sP1226(U_6816,U_6813) )
& ! [U_6816,U_6813] :
( m1_subset_1(sK852(U_6816,U_6813),u1_struct_0(U_6816))
| ~ sP1226(U_6816,U_6813) )
& ! [U_6816,U_6813,U_6814] :
( v9_vectsp_1(U_6816)
| sP1227(U_6816,U_6814)
| ~ sP1228(U_6816,U_6813,U_6814) )
& ! [U_6816,U_6813,U_6814] :
( sP1226(U_6816,U_6813)
| U_6813 = k1_rlvect_1(U_6816)
| ~ m1_subset_1(U_6813,u1_struct_0(U_6816))
| ~ v9_vectsp_1(U_6816)
| ~ sP1228(U_6816,U_6813,U_6814) )
& ! [U_6816,U_6813,U_6814] :
( sP1228(U_6816,U_6813,U_6814)
| ~ l2_vectsp_1(U_6816)
| v3_struct_0(U_6816) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1226,sP1227,sP1228])],[f_2644_4]) ).
cnf(f_2644_6,plain,
( sP1228(U_6816,U_6813,U_6814)
| ~ l2_vectsp_1(U_6816)
| v3_struct_0(U_6816) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_7,plain,
( sP1226(U_6816,U_6813)
| U_6813 = k1_rlvect_1(U_6816)
| ~ m1_subset_1(U_6813,u1_struct_0(U_6816))
| ~ v9_vectsp_1(U_6816)
| ~ sP1228(U_6816,U_6813,U_6814) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_8,plain,
( v9_vectsp_1(U_6816)
| sP1227(U_6816,U_6814)
| ~ sP1228(U_6816,U_6813,U_6814) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_9,plain,
( m1_subset_1(sK852(U_6816,U_6813),u1_struct_0(U_6816))
| ~ sP1226(U_6816,U_6813) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_10,plain,
( k1_group_1(U_6816,U_6813,sK852(U_6816,U_6813)) = k2_group_1(U_6816)
| ~ sP1226(U_6816,U_6813) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_11,plain,
( m1_subset_1(sK853(U_6816),u1_struct_0(U_6816))
| ~ sP1227(U_6816,U_6814) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_12,plain,
( sK853(U_6816) != k1_rlvect_1(U_6816)
| ~ sP1227(U_6816,U_6814) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
cnf(f_2644_13,plain,
( k1_group_1(U_6816,sK853(U_6816),U_6814) != k2_group_1(U_6816)
| ~ m1_subset_1(U_6814,u1_struct_0(U_6816))
| ~ sP1227(U_6816,U_6814) ),
inference(clausify,[status(thm)],[f_2644_5]) ).
fof(f_2645_1,plain,
! [A] :
( ( ( v10_vectsp_1(A)
| k1_rlvect_1(A) != k2_group_1(A) )
& ( k1_rlvect_1(A) = k2_group_1(A)
| ~ v10_vectsp_1(A) ) )
| ~ l2_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d21_vectsp_1]) ).
fof(f_2645_2,plain,
! [U_6817] :
( ( ( v10_vectsp_1(U_6817)
| k1_rlvect_1(U_6817) != k2_group_1(U_6817) )
& ( k1_rlvect_1(U_6817) = k2_group_1(U_6817)
| ~ v10_vectsp_1(U_6817) ) )
| ~ l2_vectsp_1(U_6817)
| v3_struct_0(U_6817) ),
inference(variable_rename,[status(thm)],[f_2645_1]) ).
fof(f_2645_3,plain,
( ! [U_6817] :
( v10_vectsp_1(U_6817)
| k1_rlvect_1(U_6817) != k2_group_1(U_6817)
| ~ sP1229(U_6817) )
& ! [U_6817] :
( k1_rlvect_1(U_6817) = k2_group_1(U_6817)
| ~ v10_vectsp_1(U_6817)
| ~ sP1229(U_6817) )
& ! [U_6817] :
( sP1229(U_6817)
| ~ l2_vectsp_1(U_6817)
| v3_struct_0(U_6817) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1229])],[f_2645_2]) ).
cnf(f_2645_4,plain,
( sP1229(U_6817)
| ~ l2_vectsp_1(U_6817)
| v3_struct_0(U_6817) ),
inference(clausify,[status(thm)],[f_2645_3]) ).
cnf(f_2645_5,plain,
( k1_rlvect_1(U_6817) = k2_group_1(U_6817)
| ~ v10_vectsp_1(U_6817)
| ~ sP1229(U_6817) ),
inference(clausify,[status(thm)],[f_2645_3]) ).
cnf(f_2645_6,plain,
( v10_vectsp_1(U_6817)
| k1_rlvect_1(U_6817) != k2_group_1(U_6817)
| ~ sP1229(U_6817) ),
inference(clausify,[status(thm)],[f_2645_3]) ).
fof(f_2646_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_vectsp_1]) ).
fof(f_2646_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2646_1]) ).
cnf(f_2646_3,plain,
$true,
inference(clausify,[status(thm)],[f_2646_2]) ).
fof(f_2647_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_vectsp_1]) ).
fof(f_2647_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2647_1]) ).
cnf(f_2647_3,plain,
$true,
inference(clausify,[status(thm)],[f_2647_2]) ).
fof(f_2648_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_vectsp_1]) ).
fof(f_2648_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2648_1]) ).
cnf(f_2648_3,plain,
$true,
inference(clausify,[status(thm)],[f_2648_2]) ).
fof(f_2649_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_vectsp_1]) ).
fof(f_2649_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2649_1]) ).
cnf(f_2649_3,plain,
$true,
inference(clausify,[status(thm)],[f_2649_2]) ).
fof(f_2650_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_vectsp_1]) ).
fof(f_2650_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2650_1]) ).
cnf(f_2650_3,plain,
$true,
inference(clausify,[status(thm)],[f_2650_2]) ).
fof(f_2651_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_vectsp_1]) ).
fof(f_2651_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2651_1]) ).
cnf(f_2651_3,plain,
$true,
inference(clausify,[status(thm)],[f_2651_2]) ).
fof(f_2652_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_vectsp_1]) ).
fof(f_2652_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2652_1]) ).
cnf(f_2652_3,plain,
$true,
inference(clausify,[status(thm)],[f_2652_2]) ).
fof(f_2653_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_vectsp_1]) ).
fof(f_2653_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2653_1]) ).
cnf(f_2653_3,plain,
$true,
inference(clausify,[status(thm)],[f_2653_2]) ).
fof(f_2654_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_vectsp_1]) ).
fof(f_2654_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2654_1]) ).
cnf(f_2654_3,plain,
$true,
inference(clausify,[status(thm)],[f_2654_2]) ).
fof(f_2655_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_vectsp_1]) ).
fof(f_2655_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2655_1]) ).
cnf(f_2655_3,plain,
$true,
inference(clausify,[status(thm)],[f_2655_2]) ).
fof(f_2656_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_vectsp_1]) ).
fof(f_2656_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2656_1]) ).
cnf(f_2656_3,plain,
$true,
inference(clausify,[status(thm)],[f_2656_2]) ).
fof(f_2657_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t19_vectsp_1]) ).
fof(f_2657_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2657_1]) ).
cnf(f_2657_3,plain,
$true,
inference(clausify,[status(thm)],[f_2657_2]) ).
fof(f_2658_1,plain,
k2_group_1(k3_vectsp_1) = np__1,
inference(fof_nnf,[status(thm)],[t20_vectsp_1]) ).
fof(f_2658_2,plain,
k2_group_1(k3_vectsp_1) = np__1,
inference(definitional_conversion,[status(esa)],[f_2658_1]) ).
cnf(f_2658_3,plain,
k2_group_1(k3_vectsp_1) = np__1,
inference(clausify,[status(thm)],[f_2658_2]) ).
fof(f_2659_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,B,C),A) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,B,A),k10_group_1(k3_vectsp_1,C,A))
& k10_group_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),k10_group_1(k3_vectsp_1,A,C))
& ( ? [D] :
( k10_group_1(k3_vectsp_1,A,D) = k2_group_1(k3_vectsp_1)
& m1_subset_1(D,u1_struct_0(k3_vectsp_1)) )
| A = k1_rlvect_1(k3_vectsp_1) )
& k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),A) = A
& k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),C) = k10_group_1(k3_vectsp_1,A,k10_group_1(k3_vectsp_1,B,C))
& k10_group_1(k3_vectsp_1,A,B) = k10_group_1(k3_vectsp_1,B,A)
& k4_rlvect_1(k3_vectsp_1,A,k5_rlvect_1(k3_vectsp_1,A)) = k1_rlvect_1(k3_vectsp_1)
& k4_rlvect_1(k3_vectsp_1,A,k1_rlvect_1(k3_vectsp_1)) = A
& k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,A,B),C) = k4_rlvect_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C))
& k4_rlvect_1(k3_vectsp_1,A,B) = k4_rlvect_1(k3_vectsp_1,B,A) )
| ~ m1_subset_1(C,u1_struct_0(k3_vectsp_1)) )
| ~ m1_subset_1(B,u1_struct_0(k3_vectsp_1)) )
| ~ m1_subset_1(A,u1_struct_0(k3_vectsp_1)) ),
inference(fof_nnf,[status(thm)],[t21_vectsp_1]) ).
fof(f_2659_2,plain,
! [U_6821] :
( ! [U_6820] :
( ! [U_6819] :
( ( k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819),U_6821) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6820,U_6821),k10_group_1(k3_vectsp_1,U_6819,U_6821))
& k10_group_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),k10_group_1(k3_vectsp_1,U_6821,U_6819))
& ( ? [U_6818] :
( k10_group_1(k3_vectsp_1,U_6821,U_6818) = k2_group_1(k3_vectsp_1)
& m1_subset_1(U_6818,u1_struct_0(k3_vectsp_1)) )
| U_6821 = k1_rlvect_1(k3_vectsp_1) )
& k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),U_6821) = U_6821
& k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k10_group_1(k3_vectsp_1,U_6821,k10_group_1(k3_vectsp_1,U_6820,U_6819))
& k10_group_1(k3_vectsp_1,U_6821,U_6820) = k10_group_1(k3_vectsp_1,U_6820,U_6821)
& k4_rlvect_1(k3_vectsp_1,U_6821,k5_rlvect_1(k3_vectsp_1,U_6821)) = k1_rlvect_1(k3_vectsp_1)
& k4_rlvect_1(k3_vectsp_1,U_6821,k1_rlvect_1(k3_vectsp_1)) = U_6821
& k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k4_rlvect_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819))
& k4_rlvect_1(k3_vectsp_1,U_6821,U_6820) = k4_rlvect_1(k3_vectsp_1,U_6820,U_6821) )
| ~ m1_subset_1(U_6819,u1_struct_0(k3_vectsp_1)) )
| ~ m1_subset_1(U_6820,u1_struct_0(k3_vectsp_1)) )
| ~ m1_subset_1(U_6821,u1_struct_0(k3_vectsp_1)) ),
inference(variable_rename,[status(thm)],[f_2659_1]) ).
fof(f_2659_3,plain,
! [U_6821] :
( ! [U_6820] :
( ! [U_6819] :
( ( k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819),U_6821) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6820,U_6821),k10_group_1(k3_vectsp_1,U_6819,U_6821))
& k10_group_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),k10_group_1(k3_vectsp_1,U_6821,U_6819))
& ( ( k10_group_1(k3_vectsp_1,U_6821,sK854(U_6821,U_6820,U_6819)) = k2_group_1(k3_vectsp_1)
& m1_subset_1(sK854(U_6821,U_6820,U_6819),u1_struct_0(k3_vectsp_1)) )
| U_6821 = k1_rlvect_1(k3_vectsp_1) )
& k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),U_6821) = U_6821
& k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k10_group_1(k3_vectsp_1,U_6821,k10_group_1(k3_vectsp_1,U_6820,U_6819))
& k10_group_1(k3_vectsp_1,U_6821,U_6820) = k10_group_1(k3_vectsp_1,U_6820,U_6821)
& k4_rlvect_1(k3_vectsp_1,U_6821,k5_rlvect_1(k3_vectsp_1,U_6821)) = k1_rlvect_1(k3_vectsp_1)
& k4_rlvect_1(k3_vectsp_1,U_6821,k1_rlvect_1(k3_vectsp_1)) = U_6821
& k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k4_rlvect_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819))
& k4_rlvect_1(k3_vectsp_1,U_6821,U_6820) = k4_rlvect_1(k3_vectsp_1,U_6820,U_6821) )
| ~ m1_subset_1(U_6819,u1_struct_0(k3_vectsp_1)) )
| ~ m1_subset_1(U_6820,u1_struct_0(k3_vectsp_1)) )
| ~ m1_subset_1(U_6821,u1_struct_0(k3_vectsp_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK854]),skolemize(U_6818,sK854(U_6821,U_6820,U_6819))],[f_2659_2]) ).
fof(f_2659_4,plain,
( ! [U_6820,U_6819,U_6821] :
( k10_group_1(k3_vectsp_1,U_6821,sK854(U_6821,U_6820,U_6819)) = k2_group_1(k3_vectsp_1)
| ~ sP1230(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( m1_subset_1(sK854(U_6821,U_6820,U_6819),u1_struct_0(k3_vectsp_1))
| ~ sP1230(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819),U_6821) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6820,U_6821),k10_group_1(k3_vectsp_1,U_6819,U_6821))
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k10_group_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),k10_group_1(k3_vectsp_1,U_6821,U_6819))
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( sP1230(U_6820,U_6819,U_6821)
| U_6821 = k1_rlvect_1(k3_vectsp_1)
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),U_6821) = U_6821
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k10_group_1(k3_vectsp_1,U_6821,k10_group_1(k3_vectsp_1,U_6820,U_6819))
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k10_group_1(k3_vectsp_1,U_6821,U_6820) = k10_group_1(k3_vectsp_1,U_6820,U_6821)
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k4_rlvect_1(k3_vectsp_1,U_6821,k5_rlvect_1(k3_vectsp_1,U_6821)) = k1_rlvect_1(k3_vectsp_1)
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k4_rlvect_1(k3_vectsp_1,U_6821,k1_rlvect_1(k3_vectsp_1)) = U_6821
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k4_rlvect_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819))
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( k4_rlvect_1(k3_vectsp_1,U_6821,U_6820) = k4_rlvect_1(k3_vectsp_1,U_6820,U_6821)
| ~ sP1231(U_6820,U_6819,U_6821) )
& ! [U_6820,U_6819,U_6821] :
( sP1231(U_6820,U_6819,U_6821)
| ~ m1_subset_1(U_6819,u1_struct_0(k3_vectsp_1))
| ~ m1_subset_1(U_6820,u1_struct_0(k3_vectsp_1))
| ~ m1_subset_1(U_6821,u1_struct_0(k3_vectsp_1)) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1230,sP1231])],[f_2659_3]) ).
cnf(f_2659_5,plain,
( sP1231(U_6820,U_6819,U_6821)
| ~ m1_subset_1(U_6819,u1_struct_0(k3_vectsp_1))
| ~ m1_subset_1(U_6820,u1_struct_0(k3_vectsp_1))
| ~ m1_subset_1(U_6821,u1_struct_0(k3_vectsp_1)) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_6,plain,
( k4_rlvect_1(k3_vectsp_1,U_6821,U_6820) = k4_rlvect_1(k3_vectsp_1,U_6820,U_6821)
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_7,plain,
( k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k4_rlvect_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819))
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_8,plain,
( k4_rlvect_1(k3_vectsp_1,U_6821,k1_rlvect_1(k3_vectsp_1)) = U_6821
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_9,plain,
( k4_rlvect_1(k3_vectsp_1,U_6821,k5_rlvect_1(k3_vectsp_1,U_6821)) = k1_rlvect_1(k3_vectsp_1)
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_10,plain,
( k10_group_1(k3_vectsp_1,U_6821,U_6820) = k10_group_1(k3_vectsp_1,U_6820,U_6821)
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_11,plain,
( k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),U_6819) = k10_group_1(k3_vectsp_1,U_6821,k10_group_1(k3_vectsp_1,U_6820,U_6819))
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_12,plain,
( k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),U_6821) = U_6821
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_13,plain,
( sP1230(U_6820,U_6819,U_6821)
| U_6821 = k1_rlvect_1(k3_vectsp_1)
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_14,plain,
( k10_group_1(k3_vectsp_1,U_6821,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6821,U_6820),k10_group_1(k3_vectsp_1,U_6821,U_6819))
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_15,plain,
( k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,U_6820,U_6819),U_6821) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,U_6820,U_6821),k10_group_1(k3_vectsp_1,U_6819,U_6821))
| ~ sP1231(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_16,plain,
( m1_subset_1(sK854(U_6821,U_6820,U_6819),u1_struct_0(k3_vectsp_1))
| ~ sP1230(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
cnf(f_2659_17,plain,
( k10_group_1(k3_vectsp_1,U_6821,sK854(U_6821,U_6820,U_6819)) = k2_group_1(k3_vectsp_1)
| ~ sP1230(U_6820,U_6819,U_6821) ),
inference(clausify,[status(thm)],[f_2659_4]) ).
fof(f_2660_1,plain,
! [A] :
( ( ( ! [B] :
( ! [C] :
( ! [D] :
( ( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
& ( ? [E] :
( k1_group_1(A,B,E) = k2_group_1(A)
& m1_subset_1(E,u1_struct_0(A)) )
| B = k1_rlvect_1(A) ) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v7_vectsp_1(A)
| v3_struct_0(A) )
& ( ( l3_vectsp_1(A)
& v9_vectsp_1(A)
& v7_vectsp_1(A)
& ~ v3_struct_0(A) )
| ? [B] :
( ? [C] :
( ? [D] :
( ( k1_group_1(A,k2_rlvect_1(A,C,D),B) != k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
| k1_group_1(A,B,k2_rlvect_1(A,C,D)) != k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
| ( ! [E] :
( k1_group_1(A,B,E) != k2_group_1(A)
| ~ m1_subset_1(E,u1_struct_0(A)) )
& B != k1_rlvect_1(A) ) )
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) ) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_vectsp_1]) ).
fof(f_2660_2,plain,
! [U_6830] :
( ( ( ! [U_6829] :
( ! [U_6828] :
( ! [U_6827] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
& k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
& ( ? [U_6826] :
( k1_group_1(U_6830,U_6829,U_6826) = k2_group_1(U_6830)
& m1_subset_1(U_6826,u1_struct_0(U_6830)) )
| U_6829 = k1_rlvect_1(U_6830) ) )
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830)) )
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830) )
& ( ( l3_vectsp_1(U_6830)
& v9_vectsp_1(U_6830)
& v7_vectsp_1(U_6830)
& ~ v3_struct_0(U_6830) )
| ? [U_6825] :
( ? [U_6824] :
( ? [U_6823] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6824,U_6823),U_6825) != k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6824,U_6825),k1_group_1(U_6830,U_6823,U_6825))
| k1_group_1(U_6830,U_6825,k2_rlvect_1(U_6830,U_6824,U_6823)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6825,U_6824),k1_group_1(U_6830,U_6825,U_6823))
| ( ! [U_6822] :
( k1_group_1(U_6830,U_6825,U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830)) )
& U_6825 != k1_rlvect_1(U_6830) ) )
& m1_subset_1(U_6823,u1_struct_0(U_6830)) )
& m1_subset_1(U_6824,u1_struct_0(U_6830)) )
& m1_subset_1(U_6825,u1_struct_0(U_6830)) ) ) )
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ),
inference(variable_rename,[status(thm)],[f_2660_1]) ).
fof(f_2660_3,plain,
! [U_6830] :
( ( ( ! [U_6829] :
( ! [U_6828] :
( ! [U_6827] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
& k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
& ( ? [U_6826] :
( k1_group_1(U_6830,U_6829,U_6826) = k2_group_1(U_6830)
& m1_subset_1(U_6826,u1_struct_0(U_6830)) )
| U_6829 = k1_rlvect_1(U_6830) ) )
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830)) )
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830) )
& ( ( l3_vectsp_1(U_6830)
& v9_vectsp_1(U_6830)
& v7_vectsp_1(U_6830)
& ~ v3_struct_0(U_6830) )
| ( ? [U_6824] :
( ? [U_6823] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6824,U_6823),sK855(U_6830)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6824,sK855(U_6830)),k1_group_1(U_6830,U_6823,sK855(U_6830)))
| k1_group_1(U_6830,sK855(U_6830),k2_rlvect_1(U_6830,U_6824,U_6823)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK855(U_6830),U_6824),k1_group_1(U_6830,sK855(U_6830),U_6823))
| ( ! [U_6822] :
( k1_group_1(U_6830,sK855(U_6830),U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830)) )
& sK855(U_6830) != k1_rlvect_1(U_6830) ) )
& m1_subset_1(U_6823,u1_struct_0(U_6830)) )
& m1_subset_1(U_6824,u1_struct_0(U_6830)) )
& m1_subset_1(sK855(U_6830),u1_struct_0(U_6830)) ) ) )
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK855]),skolemize(U_6825,sK855(U_6830))],[f_2660_2]) ).
fof(f_2660_4,plain,
! [U_6830] :
( ( ( ! [U_6829] :
( ! [U_6828] :
( ! [U_6827] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
& k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
& ( ? [U_6826] :
( k1_group_1(U_6830,U_6829,U_6826) = k2_group_1(U_6830)
& m1_subset_1(U_6826,u1_struct_0(U_6830)) )
| U_6829 = k1_rlvect_1(U_6830) ) )
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830)) )
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830) )
& ( ( l3_vectsp_1(U_6830)
& v9_vectsp_1(U_6830)
& v7_vectsp_1(U_6830)
& ~ v3_struct_0(U_6830) )
| ( ? [U_6823] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,sK856(U_6830),U_6823),sK855(U_6830)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK856(U_6830),sK855(U_6830)),k1_group_1(U_6830,U_6823,sK855(U_6830)))
| k1_group_1(U_6830,sK855(U_6830),k2_rlvect_1(U_6830,sK856(U_6830),U_6823)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK855(U_6830),sK856(U_6830)),k1_group_1(U_6830,sK855(U_6830),U_6823))
| ( ! [U_6822] :
( k1_group_1(U_6830,sK855(U_6830),U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830)) )
& sK855(U_6830) != k1_rlvect_1(U_6830) ) )
& m1_subset_1(U_6823,u1_struct_0(U_6830)) )
& m1_subset_1(sK856(U_6830),u1_struct_0(U_6830))
& m1_subset_1(sK855(U_6830),u1_struct_0(U_6830)) ) ) )
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK856]),skolemize(U_6824,sK856(U_6830))],[f_2660_3]) ).
fof(f_2660_5,plain,
! [U_6830] :
( ( ( ! [U_6829] :
( ! [U_6828] :
( ! [U_6827] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
& k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
& ( ? [U_6826] :
( k1_group_1(U_6830,U_6829,U_6826) = k2_group_1(U_6830)
& m1_subset_1(U_6826,u1_struct_0(U_6830)) )
| U_6829 = k1_rlvect_1(U_6830) ) )
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830)) )
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830) )
& ( ( l3_vectsp_1(U_6830)
& v9_vectsp_1(U_6830)
& v7_vectsp_1(U_6830)
& ~ v3_struct_0(U_6830) )
| ( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830)),sK855(U_6830)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK856(U_6830),sK855(U_6830)),k1_group_1(U_6830,sK857(U_6830),sK855(U_6830)))
| k1_group_1(U_6830,sK855(U_6830),k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830))) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK855(U_6830),sK856(U_6830)),k1_group_1(U_6830,sK855(U_6830),sK857(U_6830)))
| ( ! [U_6822] :
( k1_group_1(U_6830,sK855(U_6830),U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830)) )
& sK855(U_6830) != k1_rlvect_1(U_6830) ) )
& m1_subset_1(sK857(U_6830),u1_struct_0(U_6830))
& m1_subset_1(sK856(U_6830),u1_struct_0(U_6830))
& m1_subset_1(sK855(U_6830),u1_struct_0(U_6830)) ) ) )
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK857]),skolemize(U_6823,sK857(U_6830))],[f_2660_4]) ).
fof(f_2660_6,plain,
! [U_6830] :
( ( ( ! [U_6829] :
( ! [U_6828] :
( ! [U_6827] :
( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
& k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
& ( ( k1_group_1(U_6830,U_6829,sK858(U_6830,U_6829,U_6828,U_6827)) = k2_group_1(U_6830)
& m1_subset_1(sK858(U_6830,U_6829,U_6828,U_6827),u1_struct_0(U_6830)) )
| U_6829 = k1_rlvect_1(U_6830) ) )
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830)) )
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830)) )
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830) )
& ( ( l3_vectsp_1(U_6830)
& v9_vectsp_1(U_6830)
& v7_vectsp_1(U_6830)
& ~ v3_struct_0(U_6830) )
| ( ( k1_group_1(U_6830,k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830)),sK855(U_6830)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK856(U_6830),sK855(U_6830)),k1_group_1(U_6830,sK857(U_6830),sK855(U_6830)))
| k1_group_1(U_6830,sK855(U_6830),k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830))) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK855(U_6830),sK856(U_6830)),k1_group_1(U_6830,sK855(U_6830),sK857(U_6830)))
| ( ! [U_6822] :
( k1_group_1(U_6830,sK855(U_6830),U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830)) )
& sK855(U_6830) != k1_rlvect_1(U_6830) ) )
& m1_subset_1(sK857(U_6830),u1_struct_0(U_6830))
& m1_subset_1(sK856(U_6830),u1_struct_0(U_6830))
& m1_subset_1(sK855(U_6830),u1_struct_0(U_6830)) ) ) )
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK858]),skolemize(U_6826,sK858(U_6830,U_6829,U_6828,U_6827))],[f_2660_5]) ).
fof(f_2660_7,plain,
( ! [U_6829,U_6830,U_6827,U_6828] :
( k1_group_1(U_6830,U_6829,sK858(U_6830,U_6829,U_6828,U_6827)) = k2_group_1(U_6830)
| ~ sP1235(U_6829,U_6830,U_6827,U_6828) )
& ! [U_6829,U_6830,U_6827,U_6828] :
( m1_subset_1(sK858(U_6830,U_6829,U_6828,U_6827),u1_struct_0(U_6830))
| ~ sP1235(U_6829,U_6830,U_6827,U_6828) )
& ! [U_6829,U_6830,U_6827,U_6828] :
( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
| ~ sP1236(U_6829,U_6830,U_6827,U_6828) )
& ! [U_6829,U_6830,U_6827,U_6828] :
( k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
| ~ sP1236(U_6829,U_6830,U_6827,U_6828) )
& ! [U_6829,U_6830,U_6827,U_6828] :
( sP1235(U_6829,U_6830,U_6827,U_6828)
| U_6829 = k1_rlvect_1(U_6830)
| ~ sP1236(U_6829,U_6830,U_6827,U_6828) )
& ! [U_6830] :
( l3_vectsp_1(U_6830)
| ~ sP1234(U_6830) )
& ! [U_6830] :
( v9_vectsp_1(U_6830)
| ~ sP1234(U_6830) )
& ! [U_6830] :
( v7_vectsp_1(U_6830)
| ~ sP1234(U_6830) )
& ! [U_6830] :
( ~ v3_struct_0(U_6830)
| ~ sP1234(U_6830) )
& ! [U_6830,U_6822] :
( k1_group_1(U_6830,sK855(U_6830),U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830))
| ~ sP1232(U_6830,U_6822) )
& ! [U_6830,U_6822] :
( sK855(U_6830) != k1_rlvect_1(U_6830)
| ~ sP1232(U_6830,U_6822) )
& ! [U_6830,U_6822] :
( k1_group_1(U_6830,k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830)),sK855(U_6830)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK856(U_6830),sK855(U_6830)),k1_group_1(U_6830,sK857(U_6830),sK855(U_6830)))
| k1_group_1(U_6830,sK855(U_6830),k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830))) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK855(U_6830),sK856(U_6830)),k1_group_1(U_6830,sK855(U_6830),sK857(U_6830)))
| sP1232(U_6830,U_6822)
| ~ sP1233(U_6830,U_6822) )
& ! [U_6830,U_6822] :
( m1_subset_1(sK857(U_6830),u1_struct_0(U_6830))
| ~ sP1233(U_6830,U_6822) )
& ! [U_6830,U_6822] :
( m1_subset_1(sK856(U_6830),u1_struct_0(U_6830))
| ~ sP1233(U_6830,U_6822) )
& ! [U_6830,U_6822] :
( m1_subset_1(sK855(U_6830),u1_struct_0(U_6830))
| ~ sP1233(U_6830,U_6822) )
& ! [U_6829,U_6830,U_6822,U_6827,U_6828] :
( sP1236(U_6829,U_6830,U_6827,U_6828)
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830))
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830))
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830))
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830)
| ~ sP1237(U_6829,U_6830,U_6822,U_6827,U_6828) )
& ! [U_6829,U_6830,U_6822,U_6827,U_6828] :
( sP1234(U_6830)
| sP1233(U_6830,U_6822)
| ~ sP1237(U_6829,U_6830,U_6822,U_6827,U_6828) )
& ! [U_6829,U_6830,U_6822,U_6827,U_6828] :
( sP1237(U_6829,U_6830,U_6822,U_6827,U_6828)
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1232,sP1233,sP1234,sP1235,sP1236,sP1237])],[f_2660_6]) ).
cnf(f_2660_8,plain,
( sP1237(U_6829,U_6830,U_6822,U_6827,U_6828)
| ~ l3_vectsp_1(U_6830)
| v3_struct_0(U_6830) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_9,plain,
( sP1234(U_6830)
| sP1233(U_6830,U_6822)
| ~ sP1237(U_6829,U_6830,U_6822,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_10,plain,
( sP1236(U_6829,U_6830,U_6827,U_6828)
| ~ m1_subset_1(U_6827,u1_struct_0(U_6830))
| ~ m1_subset_1(U_6828,u1_struct_0(U_6830))
| ~ m1_subset_1(U_6829,u1_struct_0(U_6830))
| ~ l3_vectsp_1(U_6830)
| ~ v9_vectsp_1(U_6830)
| ~ v7_vectsp_1(U_6830)
| v3_struct_0(U_6830)
| ~ sP1237(U_6829,U_6830,U_6822,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_11,plain,
( m1_subset_1(sK855(U_6830),u1_struct_0(U_6830))
| ~ sP1233(U_6830,U_6822) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_12,plain,
( m1_subset_1(sK856(U_6830),u1_struct_0(U_6830))
| ~ sP1233(U_6830,U_6822) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_13,plain,
( m1_subset_1(sK857(U_6830),u1_struct_0(U_6830))
| ~ sP1233(U_6830,U_6822) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_14,plain,
( k1_group_1(U_6830,k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830)),sK855(U_6830)) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK856(U_6830),sK855(U_6830)),k1_group_1(U_6830,sK857(U_6830),sK855(U_6830)))
| k1_group_1(U_6830,sK855(U_6830),k2_rlvect_1(U_6830,sK856(U_6830),sK857(U_6830))) != k2_rlvect_1(U_6830,k1_group_1(U_6830,sK855(U_6830),sK856(U_6830)),k1_group_1(U_6830,sK855(U_6830),sK857(U_6830)))
| sP1232(U_6830,U_6822)
| ~ sP1233(U_6830,U_6822) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_15,plain,
( sK855(U_6830) != k1_rlvect_1(U_6830)
| ~ sP1232(U_6830,U_6822) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_16,plain,
( k1_group_1(U_6830,sK855(U_6830),U_6822) != k2_group_1(U_6830)
| ~ m1_subset_1(U_6822,u1_struct_0(U_6830))
| ~ sP1232(U_6830,U_6822) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_17,plain,
( ~ v3_struct_0(U_6830)
| ~ sP1234(U_6830) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_18,plain,
( v7_vectsp_1(U_6830)
| ~ sP1234(U_6830) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_19,plain,
( v9_vectsp_1(U_6830)
| ~ sP1234(U_6830) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_20,plain,
( l3_vectsp_1(U_6830)
| ~ sP1234(U_6830) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_21,plain,
( sP1235(U_6829,U_6830,U_6827,U_6828)
| U_6829 = k1_rlvect_1(U_6830)
| ~ sP1236(U_6829,U_6830,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_22,plain,
( k1_group_1(U_6830,U_6829,k2_rlvect_1(U_6830,U_6828,U_6827)) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6829,U_6828),k1_group_1(U_6830,U_6829,U_6827))
| ~ sP1236(U_6829,U_6830,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_23,plain,
( k1_group_1(U_6830,k2_rlvect_1(U_6830,U_6828,U_6827),U_6829) = k2_rlvect_1(U_6830,k1_group_1(U_6830,U_6828,U_6829),k1_group_1(U_6830,U_6827,U_6829))
| ~ sP1236(U_6829,U_6830,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_24,plain,
( m1_subset_1(sK858(U_6830,U_6829,U_6828,U_6827),u1_struct_0(U_6830))
| ~ sP1235(U_6829,U_6830,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
cnf(f_2660_25,plain,
( k1_group_1(U_6830,U_6829,sK858(U_6830,U_6829,U_6828,U_6827)) = k2_group_1(U_6830)
| ~ sP1235(U_6829,U_6830,U_6827,U_6828) ),
inference(clausify,[status(thm)],[f_2660_7]) ).
fof(f_2661_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t23_vectsp_1]) ).
fof(f_2661_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2661_1]) ).
cnf(f_2661_3,plain,
$true,
inference(clausify,[status(thm)],[f_2661_2]) ).
fof(f_2662_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_vectsp_1]) ).
fof(f_2662_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2662_1]) ).
cnf(f_2662_3,plain,
$true,
inference(clausify,[status(thm)],[f_2662_2]) ).
fof(f_2663_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t25_vectsp_1]) ).
fof(f_2663_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2663_1]) ).
cnf(f_2663_3,plain,
$true,
inference(clausify,[status(thm)],[f_2663_2]) ).
fof(f_2664_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_vectsp_1]) ).
fof(f_2664_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2664_1]) ).
cnf(f_2664_3,plain,
$true,
inference(clausify,[status(thm)],[f_2664_2]) ).
fof(f_2665_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_vectsp_1]) ).
fof(f_2665_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2665_1]) ).
cnf(f_2665_3,plain,
$true,
inference(clausify,[status(thm)],[f_2665_2]) ).
fof(f_2666_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_vectsp_1]) ).
fof(f_2666_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2666_1]) ).
cnf(f_2666_3,plain,
$true,
inference(clausify,[status(thm)],[f_2666_2]) ).
fof(f_2667_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_vectsp_1]) ).
fof(f_2667_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2667_1]) ).
cnf(f_2667_3,plain,
$true,
inference(clausify,[status(thm)],[f_2667_2]) ).
fof(f_2668_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_vectsp_1]) ).
fof(f_2668_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2668_1]) ).
cnf(f_2668_3,plain,
$true,
inference(clausify,[status(thm)],[f_2668_2]) ).
fof(f_2669_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_vectsp_1]) ).
fof(f_2669_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2669_1]) ).
cnf(f_2669_3,plain,
$true,
inference(clausify,[status(thm)],[f_2669_2]) ).
fof(f_2670_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_vectsp_1]) ).
fof(f_2670_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2670_1]) ).
cnf(f_2670_3,plain,
$true,
inference(clausify,[status(thm)],[f_2670_2]) ).
fof(f_2671_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| B = k1_rlvect_1(A)
| k10_group_1(A,B,C) != k10_group_1(A,B,D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_vectsp_1]) ).
fof(f_2671_2,plain,
! [U_6834] :
( ! [U_6833] :
( ! [U_6832] :
( ! [U_6831] :
( U_6832 = U_6831
| U_6833 = k1_rlvect_1(U_6834)
| k10_group_1(U_6834,U_6833,U_6832) != k10_group_1(U_6834,U_6833,U_6831)
| ~ m1_subset_1(U_6831,u1_struct_0(U_6834)) )
| ~ m1_subset_1(U_6832,u1_struct_0(U_6834)) )
| ~ m1_subset_1(U_6833,u1_struct_0(U_6834)) )
| ~ l3_vectsp_1(U_6834)
| ~ v9_vectsp_1(U_6834)
| ~ v8_vectsp_1(U_6834)
| ~ v7_vectsp_1(U_6834)
| ~ v7_group_1(U_6834)
| ~ v4_group_1(U_6834)
| v3_struct_0(U_6834) ),
inference(variable_rename,[status(thm)],[f_2671_1]) ).
fof(f_2671_3,plain,
! [U_6831,U_6833,U_6834,U_6832] :
( U_6832 = U_6831
| U_6833 = k1_rlvect_1(U_6834)
| k10_group_1(U_6834,U_6833,U_6832) != k10_group_1(U_6834,U_6833,U_6831)
| ~ m1_subset_1(U_6831,u1_struct_0(U_6834))
| ~ m1_subset_1(U_6832,u1_struct_0(U_6834))
| ~ m1_subset_1(U_6833,u1_struct_0(U_6834))
| ~ l3_vectsp_1(U_6834)
| ~ v9_vectsp_1(U_6834)
| ~ v8_vectsp_1(U_6834)
| ~ v7_vectsp_1(U_6834)
| ~ v7_group_1(U_6834)
| ~ v4_group_1(U_6834)
| v3_struct_0(U_6834) ),
inference(definitional_conversion,[status(esa)],[f_2671_2]) ).
cnf(f_2671_4,plain,
( U_6832 = U_6831
| U_6833 = k1_rlvect_1(U_6834)
| k10_group_1(U_6834,U_6833,U_6832) != k10_group_1(U_6834,U_6833,U_6831)
| ~ m1_subset_1(U_6831,u1_struct_0(U_6834))
| ~ m1_subset_1(U_6832,u1_struct_0(U_6834))
| ~ m1_subset_1(U_6833,u1_struct_0(U_6834))
| ~ l3_vectsp_1(U_6834)
| ~ v9_vectsp_1(U_6834)
| ~ v8_vectsp_1(U_6834)
| ~ v7_vectsp_1(U_6834)
| ~ v7_group_1(U_6834)
| ~ v4_group_1(U_6834)
| v3_struct_0(U_6834) ),
inference(clausify,[status(thm)],[f_2671_3]) ).
fof(f_2672_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k4_vectsp_1(A,B)
| k10_group_1(A,B,C) != k2_group_1(A) )
& ( k10_group_1(A,B,C) = k2_group_1(A)
| C != k4_vectsp_1(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d22_vectsp_1]) ).
fof(f_2672_2,plain,
! [U_6837] :
( ! [U_6836] :
( ! [U_6835] :
( ( ( U_6835 = k4_vectsp_1(U_6837,U_6836)
| k10_group_1(U_6837,U_6836,U_6835) != k2_group_1(U_6837) )
& ( k10_group_1(U_6837,U_6836,U_6835) = k2_group_1(U_6837)
| U_6835 != k4_vectsp_1(U_6837,U_6836) ) )
| ~ m1_subset_1(U_6835,u1_struct_0(U_6837)) )
| U_6836 = k1_rlvect_1(U_6837)
| ~ m1_subset_1(U_6836,u1_struct_0(U_6837)) )
| ~ l3_vectsp_1(U_6837)
| ~ v9_vectsp_1(U_6837)
| ~ v8_vectsp_1(U_6837)
| ~ v7_vectsp_1(U_6837)
| ~ v7_group_1(U_6837)
| ~ v4_group_1(U_6837)
| v3_struct_0(U_6837) ),
inference(variable_rename,[status(thm)],[f_2672_1]) ).
fof(f_2672_3,plain,
( ! [U_6837,U_6836,U_6835] :
( U_6835 = k4_vectsp_1(U_6837,U_6836)
| k10_group_1(U_6837,U_6836,U_6835) != k2_group_1(U_6837)
| ~ sP1238(U_6837,U_6836,U_6835) )
& ! [U_6837,U_6836,U_6835] :
( k10_group_1(U_6837,U_6836,U_6835) = k2_group_1(U_6837)
| U_6835 != k4_vectsp_1(U_6837,U_6836)
| ~ sP1238(U_6837,U_6836,U_6835) )
& ! [U_6837,U_6836,U_6835] :
( sP1238(U_6837,U_6836,U_6835)
| ~ m1_subset_1(U_6835,u1_struct_0(U_6837))
| U_6836 = k1_rlvect_1(U_6837)
| ~ m1_subset_1(U_6836,u1_struct_0(U_6837))
| ~ l3_vectsp_1(U_6837)
| ~ v9_vectsp_1(U_6837)
| ~ v8_vectsp_1(U_6837)
| ~ v7_vectsp_1(U_6837)
| ~ v7_group_1(U_6837)
| ~ v4_group_1(U_6837)
| v3_struct_0(U_6837) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1238])],[f_2672_2]) ).
cnf(f_2672_4,plain,
( sP1238(U_6837,U_6836,U_6835)
| ~ m1_subset_1(U_6835,u1_struct_0(U_6837))
| U_6836 = k1_rlvect_1(U_6837)
| ~ m1_subset_1(U_6836,u1_struct_0(U_6837))
| ~ l3_vectsp_1(U_6837)
| ~ v9_vectsp_1(U_6837)
| ~ v8_vectsp_1(U_6837)
| ~ v7_vectsp_1(U_6837)
| ~ v7_group_1(U_6837)
| ~ v4_group_1(U_6837)
| v3_struct_0(U_6837) ),
inference(clausify,[status(thm)],[f_2672_3]) ).
cnf(f_2672_5,plain,
( k10_group_1(U_6837,U_6836,U_6835) = k2_group_1(U_6837)
| U_6835 != k4_vectsp_1(U_6837,U_6836)
| ~ sP1238(U_6837,U_6836,U_6835) ),
inference(clausify,[status(thm)],[f_2672_3]) ).
cnf(f_2672_6,plain,
( U_6835 = k4_vectsp_1(U_6837,U_6836)
| k10_group_1(U_6837,U_6836,U_6835) != k2_group_1(U_6837)
| ~ sP1238(U_6837,U_6836,U_6835) ),
inference(clausify,[status(thm)],[f_2672_3]) ).
fof(f_2673_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_vectsp_1(A,B,C) = k10_group_1(A,B,k4_vectsp_1(A,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d23_vectsp_1]) ).
fof(f_2673_2,plain,
! [U_6840] :
( ! [U_6839] :
( ! [U_6838] :
( k5_vectsp_1(U_6840,U_6839,U_6838) = k10_group_1(U_6840,U_6839,k4_vectsp_1(U_6840,U_6838))
| ~ m1_subset_1(U_6838,u1_struct_0(U_6840)) )
| ~ m1_subset_1(U_6839,u1_struct_0(U_6840)) )
| ~ l3_vectsp_1(U_6840)
| ~ v9_vectsp_1(U_6840)
| ~ v8_vectsp_1(U_6840)
| ~ v7_vectsp_1(U_6840)
| ~ v7_group_1(U_6840)
| ~ v4_group_1(U_6840)
| v3_struct_0(U_6840) ),
inference(variable_rename,[status(thm)],[f_2673_1]) ).
fof(f_2673_3,plain,
! [U_6840,U_6838,U_6839] :
( k5_vectsp_1(U_6840,U_6839,U_6838) = k10_group_1(U_6840,U_6839,k4_vectsp_1(U_6840,U_6838))
| ~ m1_subset_1(U_6838,u1_struct_0(U_6840))
| ~ m1_subset_1(U_6839,u1_struct_0(U_6840))
| ~ l3_vectsp_1(U_6840)
| ~ v9_vectsp_1(U_6840)
| ~ v8_vectsp_1(U_6840)
| ~ v7_vectsp_1(U_6840)
| ~ v7_group_1(U_6840)
| ~ v4_group_1(U_6840)
| v3_struct_0(U_6840) ),
inference(definitional_conversion,[status(esa)],[f_2673_2]) ).
cnf(f_2673_4,plain,
( k5_vectsp_1(U_6840,U_6839,U_6838) = k10_group_1(U_6840,U_6839,k4_vectsp_1(U_6840,U_6838))
| ~ m1_subset_1(U_6838,u1_struct_0(U_6840))
| ~ m1_subset_1(U_6839,u1_struct_0(U_6840))
| ~ l3_vectsp_1(U_6840)
| ~ v9_vectsp_1(U_6840)
| ~ v8_vectsp_1(U_6840)
| ~ v7_vectsp_1(U_6840)
| ~ v7_group_1(U_6840)
| ~ v4_group_1(U_6840)
| v3_struct_0(U_6840) ),
inference(clausify,[status(thm)],[f_2673_3]) ).
fof(f_2674_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t34_vectsp_1]) ).
fof(f_2674_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2674_1]) ).
cnf(f_2674_3,plain,
$true,
inference(clausify,[status(thm)],[f_2674_2]) ).
fof(f_2675_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t35_vectsp_1]) ).
fof(f_2675_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2675_1]) ).
cnf(f_2675_3,plain,
$true,
inference(clausify,[status(thm)],[f_2675_2]) ).
fof(f_2676_1,plain,
! [A] :
( ! [B] :
( k1_group_1(A,B,k1_rlvect_1(A)) = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v4_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_vectsp_1]) ).
fof(f_2676_2,plain,
! [U_6842] :
( ! [U_6841] :
( k1_group_1(U_6842,U_6841,k1_rlvect_1(U_6842)) = k1_rlvect_1(U_6842)
| ~ m1_subset_1(U_6841,u1_struct_0(U_6842)) )
| ~ l3_vectsp_1(U_6842)
| ~ v4_vectsp_1(U_6842)
| ~ v6_rlvect_1(U_6842)
| ~ v5_rlvect_1(U_6842)
| ~ v4_rlvect_1(U_6842)
| v3_struct_0(U_6842) ),
inference(variable_rename,[status(thm)],[f_2676_1]) ).
fof(f_2676_3,plain,
! [U_6842,U_6841] :
( k1_group_1(U_6842,U_6841,k1_rlvect_1(U_6842)) = k1_rlvect_1(U_6842)
| ~ m1_subset_1(U_6841,u1_struct_0(U_6842))
| ~ l3_vectsp_1(U_6842)
| ~ v4_vectsp_1(U_6842)
| ~ v6_rlvect_1(U_6842)
| ~ v5_rlvect_1(U_6842)
| ~ v4_rlvect_1(U_6842)
| v3_struct_0(U_6842) ),
inference(definitional_conversion,[status(esa)],[f_2676_2]) ).
cnf(f_2676_4,plain,
( k1_group_1(U_6842,U_6841,k1_rlvect_1(U_6842)) = k1_rlvect_1(U_6842)
| ~ m1_subset_1(U_6841,u1_struct_0(U_6842))
| ~ l3_vectsp_1(U_6842)
| ~ v4_vectsp_1(U_6842)
| ~ v6_rlvect_1(U_6842)
| ~ v5_rlvect_1(U_6842)
| ~ v4_rlvect_1(U_6842)
| v3_struct_0(U_6842) ),
inference(clausify,[status(thm)],[f_2676_3]) ).
fof(f_2677_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_vectsp_1]) ).
fof(f_2677_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2677_1]) ).
cnf(f_2677_3,plain,
$true,
inference(clausify,[status(thm)],[f_2677_2]) ).
fof(f_2678_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t38_vectsp_1]) ).
fof(f_2678_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2678_1]) ).
cnf(f_2678_3,plain,
$true,
inference(clausify,[status(thm)],[f_2678_2]) ).
fof(f_2679_1,plain,
! [A] :
( ! [B] :
( k1_group_1(A,k1_rlvect_1(A),B) = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v5_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t39_vectsp_1]) ).
fof(f_2679_2,plain,
! [U_6844] :
( ! [U_6843] :
( k1_group_1(U_6844,k1_rlvect_1(U_6844),U_6843) = k1_rlvect_1(U_6844)
| ~ m1_subset_1(U_6843,u1_struct_0(U_6844)) )
| ~ l3_vectsp_1(U_6844)
| ~ v5_vectsp_1(U_6844)
| ~ v6_rlvect_1(U_6844)
| ~ v5_rlvect_1(U_6844)
| ~ v4_rlvect_1(U_6844)
| v3_struct_0(U_6844) ),
inference(variable_rename,[status(thm)],[f_2679_1]) ).
fof(f_2679_3,plain,
! [U_6843,U_6844] :
( k1_group_1(U_6844,k1_rlvect_1(U_6844),U_6843) = k1_rlvect_1(U_6844)
| ~ m1_subset_1(U_6843,u1_struct_0(U_6844))
| ~ l3_vectsp_1(U_6844)
| ~ v5_vectsp_1(U_6844)
| ~ v6_rlvect_1(U_6844)
| ~ v5_rlvect_1(U_6844)
| ~ v4_rlvect_1(U_6844)
| v3_struct_0(U_6844) ),
inference(definitional_conversion,[status(esa)],[f_2679_2]) ).
cnf(f_2679_4,plain,
( k1_group_1(U_6844,k1_rlvect_1(U_6844),U_6843) = k1_rlvect_1(U_6844)
| ~ m1_subset_1(U_6843,u1_struct_0(U_6844))
| ~ l3_vectsp_1(U_6844)
| ~ v5_vectsp_1(U_6844)
| ~ v6_rlvect_1(U_6844)
| ~ v5_rlvect_1(U_6844)
| ~ v4_rlvect_1(U_6844)
| v3_struct_0(U_6844) ),
inference(clausify,[status(thm)],[f_2679_3]) ).
fof(f_2680_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,B,k5_rlvect_1(A,C)) = k5_rlvect_1(A,k1_group_1(A,B,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v4_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_vectsp_1]) ).
fof(f_2680_2,plain,
! [U_6847] :
( ! [U_6846] :
( ! [U_6845] :
( k1_group_1(U_6847,U_6846,k5_rlvect_1(U_6847,U_6845)) = k5_rlvect_1(U_6847,k1_group_1(U_6847,U_6846,U_6845))
| ~ m1_subset_1(U_6845,u1_struct_0(U_6847)) )
| ~ m1_subset_1(U_6846,u1_struct_0(U_6847)) )
| ~ l3_vectsp_1(U_6847)
| ~ v4_vectsp_1(U_6847)
| ~ v6_rlvect_1(U_6847)
| ~ v5_rlvect_1(U_6847)
| ~ v4_rlvect_1(U_6847)
| v3_struct_0(U_6847) ),
inference(variable_rename,[status(thm)],[f_2680_1]) ).
fof(f_2680_3,plain,
! [U_6847,U_6845,U_6846] :
( k1_group_1(U_6847,U_6846,k5_rlvect_1(U_6847,U_6845)) = k5_rlvect_1(U_6847,k1_group_1(U_6847,U_6846,U_6845))
| ~ m1_subset_1(U_6845,u1_struct_0(U_6847))
| ~ m1_subset_1(U_6846,u1_struct_0(U_6847))
| ~ l3_vectsp_1(U_6847)
| ~ v4_vectsp_1(U_6847)
| ~ v6_rlvect_1(U_6847)
| ~ v5_rlvect_1(U_6847)
| ~ v4_rlvect_1(U_6847)
| v3_struct_0(U_6847) ),
inference(definitional_conversion,[status(esa)],[f_2680_2]) ).
cnf(f_2680_4,plain,
( k1_group_1(U_6847,U_6846,k5_rlvect_1(U_6847,U_6845)) = k5_rlvect_1(U_6847,k1_group_1(U_6847,U_6846,U_6845))
| ~ m1_subset_1(U_6845,u1_struct_0(U_6847))
| ~ m1_subset_1(U_6846,u1_struct_0(U_6847))
| ~ l3_vectsp_1(U_6847)
| ~ v4_vectsp_1(U_6847)
| ~ v6_rlvect_1(U_6847)
| ~ v5_rlvect_1(U_6847)
| ~ v4_rlvect_1(U_6847)
| v3_struct_0(U_6847) ),
inference(clausify,[status(thm)],[f_2680_3]) ).
fof(f_2681_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,k5_rlvect_1(A,B),C) = k5_rlvect_1(A,k1_group_1(A,B,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v5_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_vectsp_1]) ).
fof(f_2681_2,plain,
! [U_6850] :
( ! [U_6849] :
( ! [U_6848] :
( k1_group_1(U_6850,k5_rlvect_1(U_6850,U_6849),U_6848) = k5_rlvect_1(U_6850,k1_group_1(U_6850,U_6849,U_6848))
| ~ m1_subset_1(U_6848,u1_struct_0(U_6850)) )
| ~ m1_subset_1(U_6849,u1_struct_0(U_6850)) )
| ~ l3_vectsp_1(U_6850)
| ~ v5_vectsp_1(U_6850)
| ~ v6_rlvect_1(U_6850)
| ~ v5_rlvect_1(U_6850)
| ~ v4_rlvect_1(U_6850)
| v3_struct_0(U_6850) ),
inference(variable_rename,[status(thm)],[f_2681_1]) ).
fof(f_2681_3,plain,
! [U_6848,U_6850,U_6849] :
( k1_group_1(U_6850,k5_rlvect_1(U_6850,U_6849),U_6848) = k5_rlvect_1(U_6850,k1_group_1(U_6850,U_6849,U_6848))
| ~ m1_subset_1(U_6848,u1_struct_0(U_6850))
| ~ m1_subset_1(U_6849,u1_struct_0(U_6850))
| ~ l3_vectsp_1(U_6850)
| ~ v5_vectsp_1(U_6850)
| ~ v6_rlvect_1(U_6850)
| ~ v5_rlvect_1(U_6850)
| ~ v4_rlvect_1(U_6850)
| v3_struct_0(U_6850) ),
inference(definitional_conversion,[status(esa)],[f_2681_2]) ).
cnf(f_2681_4,plain,
( k1_group_1(U_6850,k5_rlvect_1(U_6850,U_6849),U_6848) = k5_rlvect_1(U_6850,k1_group_1(U_6850,U_6849,U_6848))
| ~ m1_subset_1(U_6848,u1_struct_0(U_6850))
| ~ m1_subset_1(U_6849,u1_struct_0(U_6850))
| ~ l3_vectsp_1(U_6850)
| ~ v5_vectsp_1(U_6850)
| ~ v6_rlvect_1(U_6850)
| ~ v5_rlvect_1(U_6850)
| ~ v4_rlvect_1(U_6850)
| v3_struct_0(U_6850) ),
inference(clausify,[status(thm)],[f_2681_3]) ).
fof(f_2682_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C)) = k1_group_1(A,B,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_vectsp_1]) ).
fof(f_2682_2,plain,
! [U_6853] :
( ! [U_6852] :
( ! [U_6851] :
( k1_group_1(U_6853,k5_rlvect_1(U_6853,U_6852),k5_rlvect_1(U_6853,U_6851)) = k1_group_1(U_6853,U_6852,U_6851)
| ~ m1_subset_1(U_6851,u1_struct_0(U_6853)) )
| ~ m1_subset_1(U_6852,u1_struct_0(U_6853)) )
| ~ l3_vectsp_1(U_6853)
| ~ v7_vectsp_1(U_6853)
| ~ v6_rlvect_1(U_6853)
| ~ v5_rlvect_1(U_6853)
| ~ v4_rlvect_1(U_6853)
| v3_struct_0(U_6853) ),
inference(variable_rename,[status(thm)],[f_2682_1]) ).
fof(f_2682_3,plain,
! [U_6853,U_6852,U_6851] :
( k1_group_1(U_6853,k5_rlvect_1(U_6853,U_6852),k5_rlvect_1(U_6853,U_6851)) = k1_group_1(U_6853,U_6852,U_6851)
| ~ m1_subset_1(U_6851,u1_struct_0(U_6853))
| ~ m1_subset_1(U_6852,u1_struct_0(U_6853))
| ~ l3_vectsp_1(U_6853)
| ~ v7_vectsp_1(U_6853)
| ~ v6_rlvect_1(U_6853)
| ~ v5_rlvect_1(U_6853)
| ~ v4_rlvect_1(U_6853)
| v3_struct_0(U_6853) ),
inference(definitional_conversion,[status(esa)],[f_2682_2]) ).
cnf(f_2682_4,plain,
( k1_group_1(U_6853,k5_rlvect_1(U_6853,U_6852),k5_rlvect_1(U_6853,U_6851)) = k1_group_1(U_6853,U_6852,U_6851)
| ~ m1_subset_1(U_6851,u1_struct_0(U_6853))
| ~ m1_subset_1(U_6852,u1_struct_0(U_6853))
| ~ l3_vectsp_1(U_6853)
| ~ v7_vectsp_1(U_6853)
| ~ v6_rlvect_1(U_6853)
| ~ v5_rlvect_1(U_6853)
| ~ v4_rlvect_1(U_6853)
| v3_struct_0(U_6853) ),
inference(clausify,[status(thm)],[f_2682_3]) ).
fof(f_2683_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(A,B,k6_rlvect_1(A,C,D)) = k6_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v4_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_vectsp_1]) ).
fof(f_2683_2,plain,
! [U_6857] :
( ! [U_6856] :
( ! [U_6855] :
( ! [U_6854] :
( k1_group_1(U_6857,U_6856,k6_rlvect_1(U_6857,U_6855,U_6854)) = k6_rlvect_1(U_6857,k1_group_1(U_6857,U_6856,U_6855),k1_group_1(U_6857,U_6856,U_6854))
| ~ m1_subset_1(U_6854,u1_struct_0(U_6857)) )
| ~ m1_subset_1(U_6855,u1_struct_0(U_6857)) )
| ~ m1_subset_1(U_6856,u1_struct_0(U_6857)) )
| ~ l3_vectsp_1(U_6857)
| ~ v4_vectsp_1(U_6857)
| ~ v6_rlvect_1(U_6857)
| ~ v5_rlvect_1(U_6857)
| ~ v4_rlvect_1(U_6857)
| v3_struct_0(U_6857) ),
inference(variable_rename,[status(thm)],[f_2683_1]) ).
fof(f_2683_3,plain,
! [U_6856,U_6857,U_6855,U_6854] :
( k1_group_1(U_6857,U_6856,k6_rlvect_1(U_6857,U_6855,U_6854)) = k6_rlvect_1(U_6857,k1_group_1(U_6857,U_6856,U_6855),k1_group_1(U_6857,U_6856,U_6854))
| ~ m1_subset_1(U_6854,u1_struct_0(U_6857))
| ~ m1_subset_1(U_6855,u1_struct_0(U_6857))
| ~ m1_subset_1(U_6856,u1_struct_0(U_6857))
| ~ l3_vectsp_1(U_6857)
| ~ v4_vectsp_1(U_6857)
| ~ v6_rlvect_1(U_6857)
| ~ v5_rlvect_1(U_6857)
| ~ v4_rlvect_1(U_6857)
| v3_struct_0(U_6857) ),
inference(definitional_conversion,[status(esa)],[f_2683_2]) ).
cnf(f_2683_4,plain,
( k1_group_1(U_6857,U_6856,k6_rlvect_1(U_6857,U_6855,U_6854)) = k6_rlvect_1(U_6857,k1_group_1(U_6857,U_6856,U_6855),k1_group_1(U_6857,U_6856,U_6854))
| ~ m1_subset_1(U_6854,u1_struct_0(U_6857))
| ~ m1_subset_1(U_6855,u1_struct_0(U_6857))
| ~ m1_subset_1(U_6856,u1_struct_0(U_6857))
| ~ l3_vectsp_1(U_6857)
| ~ v4_vectsp_1(U_6857)
| ~ v6_rlvect_1(U_6857)
| ~ v5_rlvect_1(U_6857)
| ~ v4_rlvect_1(U_6857)
| v3_struct_0(U_6857) ),
inference(clausify,[status(thm)],[f_2683_3]) ).
fof(f_2684_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k10_group_1(A,B,C) = k1_rlvect_1(A)
| ( C != k1_rlvect_1(A)
& B != k1_rlvect_1(A) ) )
& ( C = k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| k10_group_1(A,B,C) != k1_rlvect_1(A) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t44_vectsp_1]) ).
fof(f_2684_2,plain,
! [U_6860] :
( ! [U_6859] :
( ! [U_6858] :
( ( ( k10_group_1(U_6860,U_6859,U_6858) = k1_rlvect_1(U_6860)
| ( U_6858 != k1_rlvect_1(U_6860)
& U_6859 != k1_rlvect_1(U_6860) ) )
& ( U_6858 = k1_rlvect_1(U_6860)
| U_6859 = k1_rlvect_1(U_6860)
| k10_group_1(U_6860,U_6859,U_6858) != k1_rlvect_1(U_6860) ) )
| ~ m1_subset_1(U_6858,u1_struct_0(U_6860)) )
| ~ m1_subset_1(U_6859,u1_struct_0(U_6860)) )
| ~ l3_vectsp_1(U_6860)
| ~ v9_vectsp_1(U_6860)
| ~ v8_vectsp_1(U_6860)
| ~ v7_vectsp_1(U_6860)
| ~ v7_group_1(U_6860)
| ~ v4_group_1(U_6860)
| ~ v6_rlvect_1(U_6860)
| ~ v5_rlvect_1(U_6860)
| ~ v4_rlvect_1(U_6860)
| v3_struct_0(U_6860) ),
inference(variable_rename,[status(thm)],[f_2684_1]) ).
fof(f_2684_3,plain,
( ! [U_6858,U_6860,U_6859] :
( U_6858 != k1_rlvect_1(U_6860)
| ~ sP1239(U_6858,U_6860,U_6859) )
& ! [U_6858,U_6860,U_6859] :
( U_6859 != k1_rlvect_1(U_6860)
| ~ sP1239(U_6858,U_6860,U_6859) )
& ! [U_6858,U_6860,U_6859] :
( k10_group_1(U_6860,U_6859,U_6858) = k1_rlvect_1(U_6860)
| sP1239(U_6858,U_6860,U_6859)
| ~ sP1240(U_6858,U_6860,U_6859) )
& ! [U_6858,U_6860,U_6859] :
( U_6858 = k1_rlvect_1(U_6860)
| U_6859 = k1_rlvect_1(U_6860)
| k10_group_1(U_6860,U_6859,U_6858) != k1_rlvect_1(U_6860)
| ~ sP1240(U_6858,U_6860,U_6859) )
& ! [U_6858,U_6860,U_6859] :
( sP1240(U_6858,U_6860,U_6859)
| ~ m1_subset_1(U_6858,u1_struct_0(U_6860))
| ~ m1_subset_1(U_6859,u1_struct_0(U_6860))
| ~ l3_vectsp_1(U_6860)
| ~ v9_vectsp_1(U_6860)
| ~ v8_vectsp_1(U_6860)
| ~ v7_vectsp_1(U_6860)
| ~ v7_group_1(U_6860)
| ~ v4_group_1(U_6860)
| ~ v6_rlvect_1(U_6860)
| ~ v5_rlvect_1(U_6860)
| ~ v4_rlvect_1(U_6860)
| v3_struct_0(U_6860) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1239,sP1240])],[f_2684_2]) ).
cnf(f_2684_4,plain,
( sP1240(U_6858,U_6860,U_6859)
| ~ m1_subset_1(U_6858,u1_struct_0(U_6860))
| ~ m1_subset_1(U_6859,u1_struct_0(U_6860))
| ~ l3_vectsp_1(U_6860)
| ~ v9_vectsp_1(U_6860)
| ~ v8_vectsp_1(U_6860)
| ~ v7_vectsp_1(U_6860)
| ~ v7_group_1(U_6860)
| ~ v4_group_1(U_6860)
| ~ v6_rlvect_1(U_6860)
| ~ v5_rlvect_1(U_6860)
| ~ v4_rlvect_1(U_6860)
| v3_struct_0(U_6860) ),
inference(clausify,[status(thm)],[f_2684_3]) ).
cnf(f_2684_5,plain,
( U_6858 = k1_rlvect_1(U_6860)
| U_6859 = k1_rlvect_1(U_6860)
| k10_group_1(U_6860,U_6859,U_6858) != k1_rlvect_1(U_6860)
| ~ sP1240(U_6858,U_6860,U_6859) ),
inference(clausify,[status(thm)],[f_2684_3]) ).
cnf(f_2684_6,plain,
( k10_group_1(U_6860,U_6859,U_6858) = k1_rlvect_1(U_6860)
| sP1239(U_6858,U_6860,U_6859)
| ~ sP1240(U_6858,U_6860,U_6859) ),
inference(clausify,[status(thm)],[f_2684_3]) ).
cnf(f_2684_7,plain,
( U_6859 != k1_rlvect_1(U_6860)
| ~ sP1239(U_6858,U_6860,U_6859) ),
inference(clausify,[status(thm)],[f_2684_3]) ).
cnf(f_2684_8,plain,
( U_6858 != k1_rlvect_1(U_6860)
| ~ sP1239(U_6858,U_6860,U_6859) ),
inference(clausify,[status(thm)],[f_2684_3]) ).
fof(f_2685_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_group_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,k1_group_1(A,B,D),k1_group_1(A,C,D))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v5_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t45_vectsp_1]) ).
fof(f_2685_2,plain,
! [U_6864] :
( ! [U_6863] :
( ! [U_6862] :
( ! [U_6861] :
( k1_group_1(U_6864,k6_rlvect_1(U_6864,U_6863,U_6862),U_6861) = k6_rlvect_1(U_6864,k1_group_1(U_6864,U_6863,U_6861),k1_group_1(U_6864,U_6862,U_6861))
| ~ m1_subset_1(U_6861,u1_struct_0(U_6864)) )
| ~ m1_subset_1(U_6862,u1_struct_0(U_6864)) )
| ~ m1_subset_1(U_6863,u1_struct_0(U_6864)) )
| ~ l3_vectsp_1(U_6864)
| ~ v5_vectsp_1(U_6864)
| ~ v6_rlvect_1(U_6864)
| ~ v5_rlvect_1(U_6864)
| ~ v4_rlvect_1(U_6864)
| v3_struct_0(U_6864) ),
inference(variable_rename,[status(thm)],[f_2685_1]) ).
fof(f_2685_3,plain,
! [U_6861,U_6862,U_6863,U_6864] :
( k1_group_1(U_6864,k6_rlvect_1(U_6864,U_6863,U_6862),U_6861) = k6_rlvect_1(U_6864,k1_group_1(U_6864,U_6863,U_6861),k1_group_1(U_6864,U_6862,U_6861))
| ~ m1_subset_1(U_6861,u1_struct_0(U_6864))
| ~ m1_subset_1(U_6862,u1_struct_0(U_6864))
| ~ m1_subset_1(U_6863,u1_struct_0(U_6864))
| ~ l3_vectsp_1(U_6864)
| ~ v5_vectsp_1(U_6864)
| ~ v6_rlvect_1(U_6864)
| ~ v5_rlvect_1(U_6864)
| ~ v4_rlvect_1(U_6864)
| v3_struct_0(U_6864) ),
inference(definitional_conversion,[status(esa)],[f_2685_2]) ).
cnf(f_2685_4,plain,
( k1_group_1(U_6864,k6_rlvect_1(U_6864,U_6863,U_6862),U_6861) = k6_rlvect_1(U_6864,k1_group_1(U_6864,U_6863,U_6861),k1_group_1(U_6864,U_6862,U_6861))
| ~ m1_subset_1(U_6861,u1_struct_0(U_6864))
| ~ m1_subset_1(U_6862,u1_struct_0(U_6864))
| ~ m1_subset_1(U_6863,u1_struct_0(U_6864))
| ~ l3_vectsp_1(U_6864)
| ~ v5_vectsp_1(U_6864)
| ~ v6_rlvect_1(U_6864)
| ~ v5_rlvect_1(U_6864)
| ~ v4_rlvect_1(U_6864)
| v3_struct_0(U_6864) ),
inference(clausify,[status(thm)],[f_2685_3]) ).
fof(f_2686_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_1(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u2_vectsp_1(A,B),C,D)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l4_vectsp_1(B,A)
| v3_struct_0(B) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d24_vectsp_1]) ).
fof(f_2686_2,plain,
! [U_6868] :
( ! [U_6867] :
( ! [U_6866] :
( ! [U_6865] :
( k6_vectsp_1(U_6868,U_6867,U_6866,U_6865) = k2_binop_1(u1_struct_0(U_6868),u1_struct_0(U_6867),u1_struct_0(U_6867),u2_vectsp_1(U_6868,U_6867),U_6866,U_6865)
| ~ m1_subset_1(U_6865,u1_struct_0(U_6867)) )
| ~ m1_subset_1(U_6866,u1_struct_0(U_6868)) )
| ~ l4_vectsp_1(U_6867,U_6868)
| v3_struct_0(U_6867) )
| ~ l1_struct_0(U_6868)
| v3_struct_0(U_6868) ),
inference(variable_rename,[status(thm)],[f_2686_1]) ).
fof(f_2686_3,plain,
! [U_6866,U_6868,U_6865,U_6867] :
( k6_vectsp_1(U_6868,U_6867,U_6866,U_6865) = k2_binop_1(u1_struct_0(U_6868),u1_struct_0(U_6867),u1_struct_0(U_6867),u2_vectsp_1(U_6868,U_6867),U_6866,U_6865)
| ~ m1_subset_1(U_6865,u1_struct_0(U_6867))
| ~ m1_subset_1(U_6866,u1_struct_0(U_6868))
| ~ l4_vectsp_1(U_6867,U_6868)
| v3_struct_0(U_6867)
| ~ l1_struct_0(U_6868)
| v3_struct_0(U_6868) ),
inference(definitional_conversion,[status(esa)],[f_2686_2]) ).
cnf(f_2686_4,plain,
( k6_vectsp_1(U_6868,U_6867,U_6866,U_6865) = k2_binop_1(u1_struct_0(U_6868),u1_struct_0(U_6867),u1_struct_0(U_6867),u2_vectsp_1(U_6868,U_6867),U_6866,U_6865)
| ~ m1_subset_1(U_6865,u1_struct_0(U_6867))
| ~ m1_subset_1(U_6866,u1_struct_0(U_6868))
| ~ l4_vectsp_1(U_6867,U_6868)
| v3_struct_0(U_6867)
| ~ l1_struct_0(U_6868)
| v3_struct_0(U_6868) ),
inference(clausify,[status(thm)],[f_2686_3]) ).
fof(f_2687_1,plain,
! [A] :
( ! [B] :
( ( ( B = k7_vectsp_1(A)
| ? [C] :
( k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) != k5_rlvect_1(A,C)
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ! [C] :
( k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k5_rlvect_1(A,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| B != k7_vectsp_1(A) ) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d25_vectsp_1]) ).
fof(f_2687_2,plain,
! [U_6872] :
( ! [U_6871] :
( ( ( U_6871 = k7_vectsp_1(U_6872)
| ? [U_6870] :
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,U_6870) != k5_rlvect_1(U_6872,U_6870)
& m1_subset_1(U_6870,u1_struct_0(U_6872)) ) )
& ( ! [U_6869] :
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,U_6869) = k5_rlvect_1(U_6872,U_6869)
| ~ m1_subset_1(U_6869,u1_struct_0(U_6872)) )
| U_6871 != k7_vectsp_1(U_6872) ) )
| ~ m2_relset_1(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_2(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_1(U_6871) )
| ~ l1_rlvect_1(U_6872)
| v3_struct_0(U_6872) ),
inference(variable_rename,[status(thm)],[f_2687_1]) ).
fof(f_2687_3,plain,
! [U_6872] :
( ! [U_6871] :
( ( ( U_6871 = k7_vectsp_1(U_6872)
| ( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,sK859(U_6872,U_6871)) != k5_rlvect_1(U_6872,sK859(U_6872,U_6871))
& m1_subset_1(sK859(U_6872,U_6871),u1_struct_0(U_6872)) ) )
& ( ! [U_6869] :
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,U_6869) = k5_rlvect_1(U_6872,U_6869)
| ~ m1_subset_1(U_6869,u1_struct_0(U_6872)) )
| U_6871 != k7_vectsp_1(U_6872) ) )
| ~ m2_relset_1(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_2(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_1(U_6871) )
| ~ l1_rlvect_1(U_6872)
| v3_struct_0(U_6872) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK859]),skolemize(U_6870,sK859(U_6872,U_6871))],[f_2687_2]) ).
fof(f_2687_4,plain,
( ! [U_6872,U_6871] :
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,sK859(U_6872,U_6871)) != k5_rlvect_1(U_6872,sK859(U_6872,U_6871))
| ~ sP1241(U_6872,U_6871) )
& ! [U_6872,U_6871] :
( m1_subset_1(sK859(U_6872,U_6871),u1_struct_0(U_6872))
| ~ sP1241(U_6872,U_6871) )
& ! [U_6872,U_6871,U_6869] :
( U_6871 = k7_vectsp_1(U_6872)
| sP1241(U_6872,U_6871)
| ~ sP1242(U_6872,U_6871,U_6869) )
& ! [U_6872,U_6871,U_6869] :
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,U_6869) = k5_rlvect_1(U_6872,U_6869)
| ~ m1_subset_1(U_6869,u1_struct_0(U_6872))
| U_6871 != k7_vectsp_1(U_6872)
| ~ sP1242(U_6872,U_6871,U_6869) )
& ! [U_6872,U_6871,U_6869] :
( sP1242(U_6872,U_6871,U_6869)
| ~ m2_relset_1(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_2(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_1(U_6871)
| ~ l1_rlvect_1(U_6872)
| v3_struct_0(U_6872) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1241,sP1242])],[f_2687_3]) ).
cnf(f_2687_5,plain,
( sP1242(U_6872,U_6871,U_6869)
| ~ m2_relset_1(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_2(U_6871,u1_struct_0(U_6872),u1_struct_0(U_6872))
| ~ v1_funct_1(U_6871)
| ~ l1_rlvect_1(U_6872)
| v3_struct_0(U_6872) ),
inference(clausify,[status(thm)],[f_2687_4]) ).
cnf(f_2687_6,plain,
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,U_6869) = k5_rlvect_1(U_6872,U_6869)
| ~ m1_subset_1(U_6869,u1_struct_0(U_6872))
| U_6871 != k7_vectsp_1(U_6872)
| ~ sP1242(U_6872,U_6871,U_6869) ),
inference(clausify,[status(thm)],[f_2687_4]) ).
cnf(f_2687_7,plain,
( U_6871 = k7_vectsp_1(U_6872)
| sP1241(U_6872,U_6871)
| ~ sP1242(U_6872,U_6871,U_6869) ),
inference(clausify,[status(thm)],[f_2687_4]) ).
cnf(f_2687_8,plain,
( m1_subset_1(sK859(U_6872,U_6871),u1_struct_0(U_6872))
| ~ sP1241(U_6872,U_6871) ),
inference(clausify,[status(thm)],[f_2687_4]) ).
cnf(f_2687_9,plain,
( k8_funct_2(u1_struct_0(U_6872),u1_struct_0(U_6872),U_6871,sK859(U_6872,U_6871)) != k5_rlvect_1(U_6872,sK859(U_6872,U_6871))
| ~ sP1241(U_6872,U_6871) ),
inference(clausify,[status(thm)],[f_2687_4]) ).
fof(f_2688_1,plain,
! [A] :
( ! [B] :
( ( ( v12_vectsp_1(B,A)
| ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ( k6_vectsp_1(A,B,k2_group_1(A),E) != E
| k6_vectsp_1(A,B,k1_group_1(A,C,D),E) != k6_vectsp_1(A,B,C,k6_vectsp_1(A,B,D,E))
| k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E) != k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E))
| k6_vectsp_1(A,B,C,k2_rlvect_1(B,E,F)) != k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,C,F)) )
& m1_subset_1(F,u1_struct_0(B)) )
& m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ( k6_vectsp_1(A,B,k2_group_1(A),E) = E
& k6_vectsp_1(A,B,k1_group_1(A,C,D),E) = k6_vectsp_1(A,B,C,k6_vectsp_1(A,B,D,E))
& k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E) = k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E))
& k6_vectsp_1(A,B,C,k2_rlvect_1(B,E,F)) = k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,C,F)) )
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v12_vectsp_1(B,A) ) )
| ~ l4_vectsp_1(B,A)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d26_vectsp_1]) ).
fof(f_2688_2,plain,
! [U_6882] :
( ! [U_6881] :
( ( ( v12_vectsp_1(U_6881,U_6882)
| ? [U_6880] :
( ? [U_6879] :
( ? [U_6878] :
( ? [U_6877] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6878) != U_6878
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6880,U_6879),U_6878) != k6_vectsp_1(U_6882,U_6881,U_6880,k6_vectsp_1(U_6882,U_6881,U_6879,U_6878))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6880,U_6879),U_6878) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6880,U_6878),k6_vectsp_1(U_6882,U_6881,U_6879,U_6878))
| k6_vectsp_1(U_6882,U_6881,U_6880,k2_rlvect_1(U_6881,U_6878,U_6877)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6880,U_6878),k6_vectsp_1(U_6882,U_6881,U_6880,U_6877)) )
& m1_subset_1(U_6877,u1_struct_0(U_6881)) )
& m1_subset_1(U_6878,u1_struct_0(U_6881)) )
& m1_subset_1(U_6879,u1_struct_0(U_6882)) )
& m1_subset_1(U_6880,u1_struct_0(U_6882)) ) )
& ( ! [U_6876] :
( ! [U_6875] :
( ! [U_6874] :
( ! [U_6873] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
& k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873)) )
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882)) )
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882)) )
| ~ v12_vectsp_1(U_6881,U_6882) ) )
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881) )
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ),
inference(variable_rename,[status(thm)],[f_2688_1]) ).
fof(f_2688_3,plain,
! [U_6882] :
( ! [U_6881] :
( ( ( v12_vectsp_1(U_6881,U_6882)
| ( ? [U_6879] :
( ? [U_6878] :
( ? [U_6877] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6878) != U_6878
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,sK860(U_6882,U_6881),U_6879),U_6878) != k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k6_vectsp_1(U_6882,U_6881,U_6879,U_6878))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,sK860(U_6882,U_6881),U_6879),U_6878) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6878),k6_vectsp_1(U_6882,U_6881,U_6879,U_6878))
| k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k2_rlvect_1(U_6881,U_6878,U_6877)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6878),k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6877)) )
& m1_subset_1(U_6877,u1_struct_0(U_6881)) )
& m1_subset_1(U_6878,u1_struct_0(U_6881)) )
& m1_subset_1(U_6879,u1_struct_0(U_6882)) )
& m1_subset_1(sK860(U_6882,U_6881),u1_struct_0(U_6882)) ) )
& ( ! [U_6876] :
( ! [U_6875] :
( ! [U_6874] :
( ! [U_6873] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
& k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873)) )
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882)) )
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882)) )
| ~ v12_vectsp_1(U_6881,U_6882) ) )
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881) )
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK860]),skolemize(U_6880,sK860(U_6882,U_6881))],[f_2688_2]) ).
fof(f_2688_4,plain,
! [U_6882] :
( ! [U_6881] :
( ( ( v12_vectsp_1(U_6881,U_6882)
| ( ? [U_6878] :
( ? [U_6877] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6878) != U_6878
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),U_6878) != k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),U_6878))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),U_6878) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6878),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),U_6878))
| k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k2_rlvect_1(U_6881,U_6878,U_6877)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6878),k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6877)) )
& m1_subset_1(U_6877,u1_struct_0(U_6881)) )
& m1_subset_1(U_6878,u1_struct_0(U_6881)) )
& m1_subset_1(sK861(U_6882,U_6881),u1_struct_0(U_6882))
& m1_subset_1(sK860(U_6882,U_6881),u1_struct_0(U_6882)) ) )
& ( ! [U_6876] :
( ! [U_6875] :
( ! [U_6874] :
( ! [U_6873] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
& k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873)) )
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882)) )
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882)) )
| ~ v12_vectsp_1(U_6881,U_6882) ) )
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881) )
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK861]),skolemize(U_6879,sK861(U_6882,U_6881))],[f_2688_3]) ).
fof(f_2688_5,plain,
! [U_6882] :
( ! [U_6881] :
( ( ( v12_vectsp_1(U_6881,U_6882)
| ( ? [U_6877] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),sK862(U_6882,U_6881)) != sK862(U_6882,U_6881)
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k2_rlvect_1(U_6881,sK862(U_6882,U_6881),U_6877)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),U_6877)) )
& m1_subset_1(U_6877,u1_struct_0(U_6881)) )
& m1_subset_1(sK862(U_6882,U_6881),u1_struct_0(U_6881))
& m1_subset_1(sK861(U_6882,U_6881),u1_struct_0(U_6882))
& m1_subset_1(sK860(U_6882,U_6881),u1_struct_0(U_6882)) ) )
& ( ! [U_6876] :
( ! [U_6875] :
( ! [U_6874] :
( ! [U_6873] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
& k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873)) )
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882)) )
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882)) )
| ~ v12_vectsp_1(U_6881,U_6882) ) )
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881) )
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK862]),skolemize(U_6878,sK862(U_6882,U_6881))],[f_2688_4]) ).
fof(f_2688_6,plain,
! [U_6882] :
( ! [U_6881] :
( ( ( v12_vectsp_1(U_6881,U_6882)
| ( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),sK862(U_6882,U_6881)) != sK862(U_6882,U_6881)
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k2_rlvect_1(U_6881,sK862(U_6882,U_6881),sK863(U_6882,U_6881))) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK863(U_6882,U_6881))) )
& m1_subset_1(sK863(U_6882,U_6881),u1_struct_0(U_6881))
& m1_subset_1(sK862(U_6882,U_6881),u1_struct_0(U_6881))
& m1_subset_1(sK861(U_6882,U_6881),u1_struct_0(U_6882))
& m1_subset_1(sK860(U_6882,U_6881),u1_struct_0(U_6882)) ) )
& ( ! [U_6876] :
( ! [U_6875] :
( ! [U_6874] :
( ! [U_6873] :
( ( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
& k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
& k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873)) )
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881)) )
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882)) )
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882)) )
| ~ v12_vectsp_1(U_6881,U_6882) ) )
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881) )
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK863]),skolemize(U_6877,sK863(U_6882,U_6881))],[f_2688_5]) ).
fof(f_2688_7,plain,
( ! [U_6881,U_6882] :
( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),sK862(U_6882,U_6881)) != sK862(U_6882,U_6881)
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k2_rlvect_1(U_6881,sK862(U_6882,U_6881),sK863(U_6882,U_6881))) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK863(U_6882,U_6881)))
| ~ sP1244(U_6881,U_6882) )
& ! [U_6881,U_6882] :
( m1_subset_1(sK863(U_6882,U_6881),u1_struct_0(U_6881))
| ~ sP1244(U_6881,U_6882) )
& ! [U_6881,U_6882] :
( m1_subset_1(sK862(U_6882,U_6881),u1_struct_0(U_6881))
| ~ sP1244(U_6881,U_6882) )
& ! [U_6881,U_6882] :
( m1_subset_1(sK861(U_6882,U_6881),u1_struct_0(U_6882))
| ~ sP1244(U_6881,U_6882) )
& ! [U_6881,U_6882] :
( m1_subset_1(sK860(U_6882,U_6881),u1_struct_0(U_6882))
| ~ sP1244(U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873))
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( v12_vectsp_1(U_6881,U_6882)
| sP1244(U_6881,U_6882)
| ~ sP1245(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882)
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881))
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881))
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882))
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882))
| ~ v12_vectsp_1(U_6881,U_6882)
| ~ sP1245(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) )
& ! [U_6875,U_6876,U_6874,U_6873,U_6881,U_6882] :
( sP1245(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882)
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881)
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1243,sP1244,sP1245])],[f_2688_6]) ).
cnf(f_2688_8,plain,
( sP1245(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882)
| ~ l4_vectsp_1(U_6881,U_6882)
| v3_struct_0(U_6881)
| ~ l3_vectsp_1(U_6882)
| v3_struct_0(U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_9,plain,
( sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882)
| ~ m1_subset_1(U_6873,u1_struct_0(U_6881))
| ~ m1_subset_1(U_6874,u1_struct_0(U_6881))
| ~ m1_subset_1(U_6875,u1_struct_0(U_6882))
| ~ m1_subset_1(U_6876,u1_struct_0(U_6882))
| ~ v12_vectsp_1(U_6881,U_6882)
| ~ sP1245(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_10,plain,
( v12_vectsp_1(U_6881,U_6882)
| sP1244(U_6881,U_6882)
| ~ sP1245(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_11,plain,
( k6_vectsp_1(U_6882,U_6881,U_6876,k2_rlvect_1(U_6881,U_6874,U_6873)) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6876,U_6873))
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_12,plain,
( k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,U_6876,U_6875),U_6874) = k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,U_6876,U_6874),k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_13,plain,
( k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,U_6876,U_6875),U_6874) = k6_vectsp_1(U_6882,U_6881,U_6876,k6_vectsp_1(U_6882,U_6881,U_6875,U_6874))
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_14,plain,
( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),U_6874) = U_6874
| ~ sP1243(U_6875,U_6876,U_6874,U_6873,U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_15,plain,
( m1_subset_1(sK860(U_6882,U_6881),u1_struct_0(U_6882))
| ~ sP1244(U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_16,plain,
( m1_subset_1(sK861(U_6882,U_6881),u1_struct_0(U_6882))
| ~ sP1244(U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_17,plain,
( m1_subset_1(sK862(U_6882,U_6881),u1_struct_0(U_6881))
| ~ sP1244(U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_18,plain,
( m1_subset_1(sK863(U_6882,U_6881),u1_struct_0(U_6881))
| ~ sP1244(U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
cnf(f_2688_19,plain,
( k6_vectsp_1(U_6882,U_6881,k2_group_1(U_6882),sK862(U_6882,U_6881)) != sK862(U_6882,U_6881)
| k6_vectsp_1(U_6882,U_6881,k1_group_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,k2_rlvect_1(U_6882,sK860(U_6882,U_6881),sK861(U_6882,U_6881)),sK862(U_6882,U_6881)) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK861(U_6882,U_6881),sK862(U_6882,U_6881)))
| k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),k2_rlvect_1(U_6881,sK862(U_6882,U_6881),sK863(U_6882,U_6881))) != k2_rlvect_1(U_6881,k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK862(U_6882,U_6881)),k6_vectsp_1(U_6882,U_6881,sK860(U_6882,U_6881),sK863(U_6882,U_6881)))
| ~ sP1244(U_6881,U_6882) ),
inference(clausify,[status(thm)],[f_2688_7]) ).
fof(f_2689_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t46_vectsp_1]) ).
fof(f_2689_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2689_1]) ).
cnf(f_2689_3,plain,
$true,
inference(clausify,[status(thm)],[f_2689_2]) ).
fof(f_2690_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t47_vectsp_1]) ).
fof(f_2690_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2690_1]) ).
cnf(f_2690_3,plain,
$true,
inference(clausify,[status(thm)],[f_2690_2]) ).
fof(f_2691_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t48_vectsp_1]) ).
fof(f_2691_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2691_1]) ).
cnf(f_2691_3,plain,
$true,
inference(clausify,[status(thm)],[f_2691_2]) ).
fof(f_2692_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t49_vectsp_1]) ).
fof(f_2692_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2692_1]) ).
cnf(f_2692_3,plain,
$true,
inference(clausify,[status(thm)],[f_2692_2]) ).
fof(f_2693_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t50_vectsp_1]) ).
fof(f_2693_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2693_1]) ).
cnf(f_2693_3,plain,
$true,
inference(clausify,[status(thm)],[f_2693_2]) ).
fof(f_2694_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t51_vectsp_1]) ).
fof(f_2694_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2694_1]) ).
cnf(f_2694_3,plain,
$true,
inference(clausify,[status(thm)],[f_2694_2]) ).
fof(f_2695_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t52_vectsp_1]) ).
fof(f_2695_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2695_1]) ).
cnf(f_2695_3,plain,
$true,
inference(clausify,[status(thm)],[f_2695_2]) ).
fof(f_2696_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_vectsp_1]) ).
fof(f_2696_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2696_1]) ).
cnf(f_2696_3,plain,
$true,
inference(clausify,[status(thm)],[f_2696_2]) ).
fof(f_2697_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t54_vectsp_1]) ).
fof(f_2697_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2697_1]) ).
cnf(f_2697_3,plain,
$true,
inference(clausify,[status(thm)],[f_2697_2]) ).
fof(f_2698_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t55_vectsp_1]) ).
fof(f_2698_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2698_1]) ).
cnf(f_2698_3,plain,
$true,
inference(clausify,[status(thm)],[f_2698_2]) ).
fof(f_2699_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_vectsp_1]) ).
fof(f_2699_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2699_1]) ).
cnf(f_2699_3,plain,
$true,
inference(clausify,[status(thm)],[f_2699_2]) ).
fof(f_2700_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_vectsp_1]) ).
fof(f_2700_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2700_1]) ).
cnf(f_2700_3,plain,
$true,
inference(clausify,[status(thm)],[f_2700_2]) ).
fof(f_2701_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t58_vectsp_1]) ).
fof(f_2701_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2701_1]) ).
cnf(f_2701_3,plain,
$true,
inference(clausify,[status(thm)],[f_2701_2]) ).
fof(f_2702_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( k6_vectsp_1(A,C,B,k1_rlvect_1(C)) = k1_rlvect_1(C)
& k6_vectsp_1(A,C,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(C,D)
& k6_vectsp_1(A,C,k1_rlvect_1(A),D) = k1_rlvect_1(C) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l4_vectsp_1(C,A)
| ~ v12_vectsp_1(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_vectsp_1]) ).
fof(f_2702_2,plain,
! [U_6886] :
( ! [U_6885] :
( ! [U_6884] :
( ! [U_6883] :
( ( k6_vectsp_1(U_6886,U_6884,U_6885,k1_rlvect_1(U_6884)) = k1_rlvect_1(U_6884)
& k6_vectsp_1(U_6886,U_6884,k5_rlvect_1(U_6886,k2_group_1(U_6886)),U_6883) = k5_rlvect_1(U_6884,U_6883)
& k6_vectsp_1(U_6886,U_6884,k1_rlvect_1(U_6886),U_6883) = k1_rlvect_1(U_6884) )
| ~ m1_subset_1(U_6883,u1_struct_0(U_6884)) )
| ~ l4_vectsp_1(U_6884,U_6886)
| ~ v12_vectsp_1(U_6884,U_6886)
| ~ v6_rlvect_1(U_6884)
| ~ v5_rlvect_1(U_6884)
| ~ v4_rlvect_1(U_6884)
| v3_struct_0(U_6884) )
| ~ m1_subset_1(U_6885,u1_struct_0(U_6886)) )
| ~ l3_vectsp_1(U_6886)
| ~ v8_vectsp_1(U_6886)
| ~ v7_vectsp_1(U_6886)
| ~ v4_group_1(U_6886)
| ~ v6_rlvect_1(U_6886)
| ~ v5_rlvect_1(U_6886)
| ~ v4_rlvect_1(U_6886)
| ~ v3_rlvect_1(U_6886)
| v3_struct_0(U_6886) ),
inference(variable_rename,[status(thm)],[f_2702_1]) ).
fof(f_2702_3,plain,
( ! [U_6886,U_6885,U_6884,U_6883] :
( k6_vectsp_1(U_6886,U_6884,U_6885,k1_rlvect_1(U_6884)) = k1_rlvect_1(U_6884)
| ~ sP1246(U_6886,U_6885,U_6884,U_6883) )
& ! [U_6886,U_6885,U_6884,U_6883] :
( k6_vectsp_1(U_6886,U_6884,k5_rlvect_1(U_6886,k2_group_1(U_6886)),U_6883) = k5_rlvect_1(U_6884,U_6883)
| ~ sP1246(U_6886,U_6885,U_6884,U_6883) )
& ! [U_6886,U_6885,U_6884,U_6883] :
( k6_vectsp_1(U_6886,U_6884,k1_rlvect_1(U_6886),U_6883) = k1_rlvect_1(U_6884)
| ~ sP1246(U_6886,U_6885,U_6884,U_6883) )
& ! [U_6886,U_6885,U_6884,U_6883] :
( sP1246(U_6886,U_6885,U_6884,U_6883)
| ~ m1_subset_1(U_6883,u1_struct_0(U_6884))
| ~ l4_vectsp_1(U_6884,U_6886)
| ~ v12_vectsp_1(U_6884,U_6886)
| ~ v6_rlvect_1(U_6884)
| ~ v5_rlvect_1(U_6884)
| ~ v4_rlvect_1(U_6884)
| v3_struct_0(U_6884)
| ~ m1_subset_1(U_6885,u1_struct_0(U_6886))
| ~ l3_vectsp_1(U_6886)
| ~ v8_vectsp_1(U_6886)
| ~ v7_vectsp_1(U_6886)
| ~ v4_group_1(U_6886)
| ~ v6_rlvect_1(U_6886)
| ~ v5_rlvect_1(U_6886)
| ~ v4_rlvect_1(U_6886)
| ~ v3_rlvect_1(U_6886)
| v3_struct_0(U_6886) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1246])],[f_2702_2]) ).
cnf(f_2702_4,plain,
( sP1246(U_6886,U_6885,U_6884,U_6883)
| ~ m1_subset_1(U_6883,u1_struct_0(U_6884))
| ~ l4_vectsp_1(U_6884,U_6886)
| ~ v12_vectsp_1(U_6884,U_6886)
| ~ v6_rlvect_1(U_6884)
| ~ v5_rlvect_1(U_6884)
| ~ v4_rlvect_1(U_6884)
| v3_struct_0(U_6884)
| ~ m1_subset_1(U_6885,u1_struct_0(U_6886))
| ~ l3_vectsp_1(U_6886)
| ~ v8_vectsp_1(U_6886)
| ~ v7_vectsp_1(U_6886)
| ~ v4_group_1(U_6886)
| ~ v6_rlvect_1(U_6886)
| ~ v5_rlvect_1(U_6886)
| ~ v4_rlvect_1(U_6886)
| ~ v3_rlvect_1(U_6886)
| v3_struct_0(U_6886) ),
inference(clausify,[status(thm)],[f_2702_3]) ).
cnf(f_2702_5,plain,
( k6_vectsp_1(U_6886,U_6884,k1_rlvect_1(U_6886),U_6883) = k1_rlvect_1(U_6884)
| ~ sP1246(U_6886,U_6885,U_6884,U_6883) ),
inference(clausify,[status(thm)],[f_2702_3]) ).
cnf(f_2702_6,plain,
( k6_vectsp_1(U_6886,U_6884,k5_rlvect_1(U_6886,k2_group_1(U_6886)),U_6883) = k5_rlvect_1(U_6884,U_6883)
| ~ sP1246(U_6886,U_6885,U_6884,U_6883) ),
inference(clausify,[status(thm)],[f_2702_3]) ).
cnf(f_2702_7,plain,
( k6_vectsp_1(U_6886,U_6884,U_6885,k1_rlvect_1(U_6884)) = k1_rlvect_1(U_6884)
| ~ sP1246(U_6886,U_6885,U_6884,U_6883) ),
inference(clausify,[status(thm)],[f_2702_3]) ).
fof(f_2703_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C)
| ( D != k1_rlvect_1(C)
& B != k1_rlvect_1(A) ) )
& ( D = k1_rlvect_1(C)
| B = k1_rlvect_1(A)
| k6_vectsp_1(A,C,B,D) != k1_rlvect_1(C) ) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l4_vectsp_1(C,A)
| ~ v12_vectsp_1(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t60_vectsp_1]) ).
fof(f_2703_2,plain,
! [U_6890] :
( ! [U_6889] :
( ! [U_6888] :
( ! [U_6887] :
( ( ( k6_vectsp_1(U_6890,U_6888,U_6889,U_6887) = k1_rlvect_1(U_6888)
| ( U_6887 != k1_rlvect_1(U_6888)
& U_6889 != k1_rlvect_1(U_6890) ) )
& ( U_6887 = k1_rlvect_1(U_6888)
| U_6889 = k1_rlvect_1(U_6890)
| k6_vectsp_1(U_6890,U_6888,U_6889,U_6887) != k1_rlvect_1(U_6888) ) )
| ~ m1_subset_1(U_6887,u1_struct_0(U_6888)) )
| ~ l4_vectsp_1(U_6888,U_6890)
| ~ v12_vectsp_1(U_6888,U_6890)
| ~ v6_rlvect_1(U_6888)
| ~ v5_rlvect_1(U_6888)
| ~ v4_rlvect_1(U_6888)
| v3_struct_0(U_6888) )
| ~ m1_subset_1(U_6889,u1_struct_0(U_6890)) )
| ~ l3_vectsp_1(U_6890)
| v10_vectsp_1(U_6890)
| ~ v9_vectsp_1(U_6890)
| ~ v8_vectsp_1(U_6890)
| ~ v7_vectsp_1(U_6890)
| ~ v7_group_1(U_6890)
| ~ v4_group_1(U_6890)
| ~ v6_rlvect_1(U_6890)
| ~ v5_rlvect_1(U_6890)
| ~ v4_rlvect_1(U_6890)
| ~ v3_rlvect_1(U_6890)
| v3_struct_0(U_6890) ),
inference(variable_rename,[status(thm)],[f_2703_1]) ).
fof(f_2703_3,plain,
( ! [U_6890,U_6888,U_6889,U_6887] :
( U_6887 != k1_rlvect_1(U_6888)
| ~ sP1247(U_6890,U_6888,U_6889,U_6887) )
& ! [U_6890,U_6888,U_6889,U_6887] :
( U_6889 != k1_rlvect_1(U_6890)
| ~ sP1247(U_6890,U_6888,U_6889,U_6887) )
& ! [U_6890,U_6888,U_6889,U_6887] :
( k6_vectsp_1(U_6890,U_6888,U_6889,U_6887) = k1_rlvect_1(U_6888)
| sP1247(U_6890,U_6888,U_6889,U_6887)
| ~ sP1248(U_6890,U_6888,U_6889,U_6887) )
& ! [U_6890,U_6888,U_6889,U_6887] :
( U_6887 = k1_rlvect_1(U_6888)
| U_6889 = k1_rlvect_1(U_6890)
| k6_vectsp_1(U_6890,U_6888,U_6889,U_6887) != k1_rlvect_1(U_6888)
| ~ sP1248(U_6890,U_6888,U_6889,U_6887) )
& ! [U_6890,U_6888,U_6889,U_6887] :
( sP1248(U_6890,U_6888,U_6889,U_6887)
| ~ m1_subset_1(U_6887,u1_struct_0(U_6888))
| ~ l4_vectsp_1(U_6888,U_6890)
| ~ v12_vectsp_1(U_6888,U_6890)
| ~ v6_rlvect_1(U_6888)
| ~ v5_rlvect_1(U_6888)
| ~ v4_rlvect_1(U_6888)
| v3_struct_0(U_6888)
| ~ m1_subset_1(U_6889,u1_struct_0(U_6890))
| ~ l3_vectsp_1(U_6890)
| v10_vectsp_1(U_6890)
| ~ v9_vectsp_1(U_6890)
| ~ v8_vectsp_1(U_6890)
| ~ v7_vectsp_1(U_6890)
| ~ v7_group_1(U_6890)
| ~ v4_group_1(U_6890)
| ~ v6_rlvect_1(U_6890)
| ~ v5_rlvect_1(U_6890)
| ~ v4_rlvect_1(U_6890)
| ~ v3_rlvect_1(U_6890)
| v3_struct_0(U_6890) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1247,sP1248])],[f_2703_2]) ).
cnf(f_2703_4,plain,
( sP1248(U_6890,U_6888,U_6889,U_6887)
| ~ m1_subset_1(U_6887,u1_struct_0(U_6888))
| ~ l4_vectsp_1(U_6888,U_6890)
| ~ v12_vectsp_1(U_6888,U_6890)
| ~ v6_rlvect_1(U_6888)
| ~ v5_rlvect_1(U_6888)
| ~ v4_rlvect_1(U_6888)
| v3_struct_0(U_6888)
| ~ m1_subset_1(U_6889,u1_struct_0(U_6890))
| ~ l3_vectsp_1(U_6890)
| v10_vectsp_1(U_6890)
| ~ v9_vectsp_1(U_6890)
| ~ v8_vectsp_1(U_6890)
| ~ v7_vectsp_1(U_6890)
| ~ v7_group_1(U_6890)
| ~ v4_group_1(U_6890)
| ~ v6_rlvect_1(U_6890)
| ~ v5_rlvect_1(U_6890)
| ~ v4_rlvect_1(U_6890)
| ~ v3_rlvect_1(U_6890)
| v3_struct_0(U_6890) ),
inference(clausify,[status(thm)],[f_2703_3]) ).
cnf(f_2703_5,plain,
( U_6887 = k1_rlvect_1(U_6888)
| U_6889 = k1_rlvect_1(U_6890)
| k6_vectsp_1(U_6890,U_6888,U_6889,U_6887) != k1_rlvect_1(U_6888)
| ~ sP1248(U_6890,U_6888,U_6889,U_6887) ),
inference(clausify,[status(thm)],[f_2703_3]) ).
cnf(f_2703_6,plain,
( k6_vectsp_1(U_6890,U_6888,U_6889,U_6887) = k1_rlvect_1(U_6888)
| sP1247(U_6890,U_6888,U_6889,U_6887)
| ~ sP1248(U_6890,U_6888,U_6889,U_6887) ),
inference(clausify,[status(thm)],[f_2703_3]) ).
cnf(f_2703_7,plain,
( U_6889 != k1_rlvect_1(U_6890)
| ~ sP1247(U_6890,U_6888,U_6889,U_6887) ),
inference(clausify,[status(thm)],[f_2703_3]) ).
cnf(f_2703_8,plain,
( U_6887 != k1_rlvect_1(U_6888)
| ~ sP1247(U_6890,U_6888,U_6889,U_6887) ),
inference(clausify,[status(thm)],[f_2703_3]) ).
fof(f_2704_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t61_vectsp_1]) ).
fof(f_2704_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2704_1]) ).
cnf(f_2704_3,plain,
$true,
inference(clausify,[status(thm)],[f_2704_2]) ).
fof(f_2705_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t62_vectsp_1]) ).
fof(f_2705_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2705_1]) ).
cnf(f_2705_3,plain,
$true,
inference(clausify,[status(thm)],[f_2705_2]) ).
fof(f_2706_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k2_rlvect_1(A,B,C) = k1_rlvect_1(A)
| k5_rlvect_1(A,B) != C )
& ( k5_rlvect_1(A,B) = C
| k2_rlvect_1(A,B,C) != k1_rlvect_1(A) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t63_vectsp_1]) ).
fof(f_2706_2,plain,
! [U_6893] :
( ! [U_6892] :
( ! [U_6891] :
( ( ( k2_rlvect_1(U_6893,U_6892,U_6891) = k1_rlvect_1(U_6893)
| k5_rlvect_1(U_6893,U_6892) != U_6891 )
& ( k5_rlvect_1(U_6893,U_6892) = U_6891
| k2_rlvect_1(U_6893,U_6892,U_6891) != k1_rlvect_1(U_6893) ) )
| ~ m1_subset_1(U_6891,u1_struct_0(U_6893)) )
| ~ m1_subset_1(U_6892,u1_struct_0(U_6893)) )
| ~ l1_rlvect_1(U_6893)
| ~ v6_rlvect_1(U_6893)
| ~ v5_rlvect_1(U_6893)
| ~ v4_rlvect_1(U_6893)
| v3_struct_0(U_6893) ),
inference(variable_rename,[status(thm)],[f_2706_1]) ).
fof(f_2706_3,plain,
( ! [U_6893,U_6892,U_6891] :
( k2_rlvect_1(U_6893,U_6892,U_6891) = k1_rlvect_1(U_6893)
| k5_rlvect_1(U_6893,U_6892) != U_6891
| ~ sP1249(U_6893,U_6892,U_6891) )
& ! [U_6893,U_6892,U_6891] :
( k5_rlvect_1(U_6893,U_6892) = U_6891
| k2_rlvect_1(U_6893,U_6892,U_6891) != k1_rlvect_1(U_6893)
| ~ sP1249(U_6893,U_6892,U_6891) )
& ! [U_6893,U_6892,U_6891] :
( sP1249(U_6893,U_6892,U_6891)
| ~ m1_subset_1(U_6891,u1_struct_0(U_6893))
| ~ m1_subset_1(U_6892,u1_struct_0(U_6893))
| ~ l1_rlvect_1(U_6893)
| ~ v6_rlvect_1(U_6893)
| ~ v5_rlvect_1(U_6893)
| ~ v4_rlvect_1(U_6893)
| v3_struct_0(U_6893) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1249])],[f_2706_2]) ).
cnf(f_2706_4,plain,
( sP1249(U_6893,U_6892,U_6891)
| ~ m1_subset_1(U_6891,u1_struct_0(U_6893))
| ~ m1_subset_1(U_6892,u1_struct_0(U_6893))
| ~ l1_rlvect_1(U_6893)
| ~ v6_rlvect_1(U_6893)
| ~ v5_rlvect_1(U_6893)
| ~ v4_rlvect_1(U_6893)
| v3_struct_0(U_6893) ),
inference(clausify,[status(thm)],[f_2706_3]) ).
cnf(f_2706_5,plain,
( k5_rlvect_1(U_6893,U_6892) = U_6891
| k2_rlvect_1(U_6893,U_6892,U_6891) != k1_rlvect_1(U_6893)
| ~ sP1249(U_6893,U_6892,U_6891) ),
inference(clausify,[status(thm)],[f_2706_3]) ).
cnf(f_2706_6,plain,
( k2_rlvect_1(U_6893,U_6892,U_6891) = k1_rlvect_1(U_6893)
| k5_rlvect_1(U_6893,U_6892) != U_6891
| ~ sP1249(U_6893,U_6892,U_6891) ),
inference(clausify,[status(thm)],[f_2706_3]) ).
fof(f_2707_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( k6_rlvect_1(A,B,k2_rlvect_1(A,D,C)) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D)
& k5_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,C),D)) = k2_rlvect_1(A,D,C)
& k5_rlvect_1(A,k6_rlvect_1(A,C,D)) = k2_rlvect_1(A,D,k5_rlvect_1(A,C))
& k5_rlvect_1(A,k2_rlvect_1(A,D,k5_rlvect_1(A,C))) = k6_rlvect_1(A,C,D)
& k5_rlvect_1(A,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k5_rlvect_1(A,D),C) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t64_vectsp_1]) ).
fof(f_2707_2,plain,
! [U_6897] :
( ! [U_6896] :
( ! [U_6895] :
( ! [U_6894] :
( ( k6_rlvect_1(U_6897,U_6896,k2_rlvect_1(U_6897,U_6894,U_6895)) = k6_rlvect_1(U_6897,k6_rlvect_1(U_6897,U_6896,U_6895),U_6894)
& k5_rlvect_1(U_6897,k6_rlvect_1(U_6897,k5_rlvect_1(U_6897,U_6895),U_6894)) = k2_rlvect_1(U_6897,U_6894,U_6895)
& k5_rlvect_1(U_6897,k6_rlvect_1(U_6897,U_6895,U_6894)) = k2_rlvect_1(U_6897,U_6894,k5_rlvect_1(U_6897,U_6895))
& k5_rlvect_1(U_6897,k2_rlvect_1(U_6897,U_6894,k5_rlvect_1(U_6897,U_6895))) = k6_rlvect_1(U_6897,U_6895,U_6894)
& k5_rlvect_1(U_6897,k2_rlvect_1(U_6897,U_6895,U_6894)) = k6_rlvect_1(U_6897,k5_rlvect_1(U_6897,U_6894),U_6895) )
| ~ m1_subset_1(U_6894,u1_struct_0(U_6897)) )
| ~ m1_subset_1(U_6895,u1_struct_0(U_6897)) )
| ~ m1_subset_1(U_6896,u1_struct_0(U_6897)) )
| ~ l1_rlvect_1(U_6897)
| ~ v6_rlvect_1(U_6897)
| ~ v5_rlvect_1(U_6897)
| ~ v4_rlvect_1(U_6897)
| v3_struct_0(U_6897) ),
inference(variable_rename,[status(thm)],[f_2707_1]) ).
fof(f_2707_3,plain,
( ! [U_6894,U_6897,U_6895,U_6896] :
( k6_rlvect_1(U_6897,U_6896,k2_rlvect_1(U_6897,U_6894,U_6895)) = k6_rlvect_1(U_6897,k6_rlvect_1(U_6897,U_6896,U_6895),U_6894)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) )
& ! [U_6894,U_6897,U_6895,U_6896] :
( k5_rlvect_1(U_6897,k6_rlvect_1(U_6897,k5_rlvect_1(U_6897,U_6895),U_6894)) = k2_rlvect_1(U_6897,U_6894,U_6895)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) )
& ! [U_6894,U_6897,U_6895,U_6896] :
( k5_rlvect_1(U_6897,k6_rlvect_1(U_6897,U_6895,U_6894)) = k2_rlvect_1(U_6897,U_6894,k5_rlvect_1(U_6897,U_6895))
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) )
& ! [U_6894,U_6897,U_6895,U_6896] :
( k5_rlvect_1(U_6897,k2_rlvect_1(U_6897,U_6894,k5_rlvect_1(U_6897,U_6895))) = k6_rlvect_1(U_6897,U_6895,U_6894)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) )
& ! [U_6894,U_6897,U_6895,U_6896] :
( k5_rlvect_1(U_6897,k2_rlvect_1(U_6897,U_6895,U_6894)) = k6_rlvect_1(U_6897,k5_rlvect_1(U_6897,U_6894),U_6895)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) )
& ! [U_6894,U_6897,U_6895,U_6896] :
( sP1250(U_6894,U_6897,U_6895,U_6896)
| ~ m1_subset_1(U_6894,u1_struct_0(U_6897))
| ~ m1_subset_1(U_6895,u1_struct_0(U_6897))
| ~ m1_subset_1(U_6896,u1_struct_0(U_6897))
| ~ l1_rlvect_1(U_6897)
| ~ v6_rlvect_1(U_6897)
| ~ v5_rlvect_1(U_6897)
| ~ v4_rlvect_1(U_6897)
| v3_struct_0(U_6897) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1250])],[f_2707_2]) ).
cnf(f_2707_4,plain,
( sP1250(U_6894,U_6897,U_6895,U_6896)
| ~ m1_subset_1(U_6894,u1_struct_0(U_6897))
| ~ m1_subset_1(U_6895,u1_struct_0(U_6897))
| ~ m1_subset_1(U_6896,u1_struct_0(U_6897))
| ~ l1_rlvect_1(U_6897)
| ~ v6_rlvect_1(U_6897)
| ~ v5_rlvect_1(U_6897)
| ~ v4_rlvect_1(U_6897)
| v3_struct_0(U_6897) ),
inference(clausify,[status(thm)],[f_2707_3]) ).
cnf(f_2707_5,plain,
( k5_rlvect_1(U_6897,k2_rlvect_1(U_6897,U_6895,U_6894)) = k6_rlvect_1(U_6897,k5_rlvect_1(U_6897,U_6894),U_6895)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) ),
inference(clausify,[status(thm)],[f_2707_3]) ).
cnf(f_2707_6,plain,
( k5_rlvect_1(U_6897,k2_rlvect_1(U_6897,U_6894,k5_rlvect_1(U_6897,U_6895))) = k6_rlvect_1(U_6897,U_6895,U_6894)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) ),
inference(clausify,[status(thm)],[f_2707_3]) ).
cnf(f_2707_7,plain,
( k5_rlvect_1(U_6897,k6_rlvect_1(U_6897,U_6895,U_6894)) = k2_rlvect_1(U_6897,U_6894,k5_rlvect_1(U_6897,U_6895))
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) ),
inference(clausify,[status(thm)],[f_2707_3]) ).
cnf(f_2707_8,plain,
( k5_rlvect_1(U_6897,k6_rlvect_1(U_6897,k5_rlvect_1(U_6897,U_6895),U_6894)) = k2_rlvect_1(U_6897,U_6894,U_6895)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) ),
inference(clausify,[status(thm)],[f_2707_3]) ).
cnf(f_2707_9,plain,
( k6_rlvect_1(U_6897,U_6896,k2_rlvect_1(U_6897,U_6894,U_6895)) = k6_rlvect_1(U_6897,k6_rlvect_1(U_6897,U_6896,U_6895),U_6894)
| ~ sP1250(U_6894,U_6897,U_6895,U_6896) ),
inference(clausify,[status(thm)],[f_2707_3]) ).
fof(f_2708_1,plain,
! [A] :
( ! [B] :
( ( k6_rlvect_1(A,B,k1_rlvect_1(A)) = B
& k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t65_vectsp_1]) ).
fof(f_2708_2,plain,
! [U_6899] :
( ! [U_6898] :
( ( k6_rlvect_1(U_6899,U_6898,k1_rlvect_1(U_6899)) = U_6898
& k6_rlvect_1(U_6899,k1_rlvect_1(U_6899),U_6898) = k5_rlvect_1(U_6899,U_6898) )
| ~ m1_subset_1(U_6898,u1_struct_0(U_6899)) )
| ~ l1_rlvect_1(U_6899)
| ~ v6_rlvect_1(U_6899)
| ~ v5_rlvect_1(U_6899)
| ~ v4_rlvect_1(U_6899)
| v3_struct_0(U_6899) ),
inference(variable_rename,[status(thm)],[f_2708_1]) ).
fof(f_2708_3,plain,
( ! [U_6899,U_6898] :
( k6_rlvect_1(U_6899,U_6898,k1_rlvect_1(U_6899)) = U_6898
| ~ sP1251(U_6899,U_6898) )
& ! [U_6899,U_6898] :
( k6_rlvect_1(U_6899,k1_rlvect_1(U_6899),U_6898) = k5_rlvect_1(U_6899,U_6898)
| ~ sP1251(U_6899,U_6898) )
& ! [U_6899,U_6898] :
( sP1251(U_6899,U_6898)
| ~ m1_subset_1(U_6898,u1_struct_0(U_6899))
| ~ l1_rlvect_1(U_6899)
| ~ v6_rlvect_1(U_6899)
| ~ v5_rlvect_1(U_6899)
| ~ v4_rlvect_1(U_6899)
| v3_struct_0(U_6899) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1251])],[f_2708_2]) ).
cnf(f_2708_4,plain,
( sP1251(U_6899,U_6898)
| ~ m1_subset_1(U_6898,u1_struct_0(U_6899))
| ~ l1_rlvect_1(U_6899)
| ~ v6_rlvect_1(U_6899)
| ~ v5_rlvect_1(U_6899)
| ~ v4_rlvect_1(U_6899)
| v3_struct_0(U_6899) ),
inference(clausify,[status(thm)],[f_2708_3]) ).
cnf(f_2708_5,plain,
( k6_rlvect_1(U_6899,k1_rlvect_1(U_6899),U_6898) = k5_rlvect_1(U_6899,U_6898)
| ~ sP1251(U_6899,U_6898) ),
inference(clausify,[status(thm)],[f_2708_3]) ).
cnf(f_2708_6,plain,
( k6_rlvect_1(U_6899,U_6898,k1_rlvect_1(U_6899)) = U_6898
| ~ sP1251(U_6899,U_6898) ),
inference(clausify,[status(thm)],[f_2708_3]) ).
fof(f_2709_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k6_rlvect_1(A,B,C) = k1_rlvect_1(A)
| B != C )
& ( B = C
| k6_rlvect_1(A,B,C) != k1_rlvect_1(A) )
& ( k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A)
| B != C )
& ( B = C
| k2_rlvect_1(A,B,k5_rlvect_1(A,C)) != k1_rlvect_1(A) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t66_vectsp_1]) ).
fof(f_2709_2,plain,
! [U_6902] :
( ! [U_6901] :
( ! [U_6900] :
( ( ( k6_rlvect_1(U_6902,U_6901,U_6900) = k1_rlvect_1(U_6902)
| U_6901 != U_6900 )
& ( U_6901 = U_6900
| k6_rlvect_1(U_6902,U_6901,U_6900) != k1_rlvect_1(U_6902) )
& ( k2_rlvect_1(U_6902,U_6901,k5_rlvect_1(U_6902,U_6900)) = k1_rlvect_1(U_6902)
| U_6901 != U_6900 )
& ( U_6901 = U_6900
| k2_rlvect_1(U_6902,U_6901,k5_rlvect_1(U_6902,U_6900)) != k1_rlvect_1(U_6902) ) )
| ~ m1_subset_1(U_6900,u1_struct_0(U_6902)) )
| ~ m1_subset_1(U_6901,u1_struct_0(U_6902)) )
| ~ l1_rlvect_1(U_6902)
| ~ v6_rlvect_1(U_6902)
| ~ v5_rlvect_1(U_6902)
| ~ v4_rlvect_1(U_6902)
| v3_struct_0(U_6902) ),
inference(variable_rename,[status(thm)],[f_2709_1]) ).
fof(f_2709_3,plain,
( ! [U_6901,U_6902,U_6900] :
( k6_rlvect_1(U_6902,U_6901,U_6900) = k1_rlvect_1(U_6902)
| U_6901 != U_6900
| ~ sP1252(U_6901,U_6902,U_6900) )
& ! [U_6901,U_6902,U_6900] :
( U_6901 = U_6900
| k6_rlvect_1(U_6902,U_6901,U_6900) != k1_rlvect_1(U_6902)
| ~ sP1252(U_6901,U_6902,U_6900) )
& ! [U_6901,U_6902,U_6900] :
( k2_rlvect_1(U_6902,U_6901,k5_rlvect_1(U_6902,U_6900)) = k1_rlvect_1(U_6902)
| U_6901 != U_6900
| ~ sP1252(U_6901,U_6902,U_6900) )
& ! [U_6901,U_6902,U_6900] :
( U_6901 = U_6900
| k2_rlvect_1(U_6902,U_6901,k5_rlvect_1(U_6902,U_6900)) != k1_rlvect_1(U_6902)
| ~ sP1252(U_6901,U_6902,U_6900) )
& ! [U_6901,U_6902,U_6900] :
( sP1252(U_6901,U_6902,U_6900)
| ~ m1_subset_1(U_6900,u1_struct_0(U_6902))
| ~ m1_subset_1(U_6901,u1_struct_0(U_6902))
| ~ l1_rlvect_1(U_6902)
| ~ v6_rlvect_1(U_6902)
| ~ v5_rlvect_1(U_6902)
| ~ v4_rlvect_1(U_6902)
| v3_struct_0(U_6902) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1252])],[f_2709_2]) ).
cnf(f_2709_4,plain,
( sP1252(U_6901,U_6902,U_6900)
| ~ m1_subset_1(U_6900,u1_struct_0(U_6902))
| ~ m1_subset_1(U_6901,u1_struct_0(U_6902))
| ~ l1_rlvect_1(U_6902)
| ~ v6_rlvect_1(U_6902)
| ~ v5_rlvect_1(U_6902)
| ~ v4_rlvect_1(U_6902)
| v3_struct_0(U_6902) ),
inference(clausify,[status(thm)],[f_2709_3]) ).
cnf(f_2709_5,plain,
( U_6901 = U_6900
| k2_rlvect_1(U_6902,U_6901,k5_rlvect_1(U_6902,U_6900)) != k1_rlvect_1(U_6902)
| ~ sP1252(U_6901,U_6902,U_6900) ),
inference(clausify,[status(thm)],[f_2709_3]) ).
cnf(f_2709_6,plain,
( k2_rlvect_1(U_6902,U_6901,k5_rlvect_1(U_6902,U_6900)) = k1_rlvect_1(U_6902)
| U_6901 != U_6900
| ~ sP1252(U_6901,U_6902,U_6900) ),
inference(clausify,[status(thm)],[f_2709_3]) ).
cnf(f_2709_7,plain,
( U_6901 = U_6900
| k6_rlvect_1(U_6902,U_6901,U_6900) != k1_rlvect_1(U_6902)
| ~ sP1252(U_6901,U_6902,U_6900) ),
inference(clausify,[status(thm)],[f_2709_3]) ).
cnf(f_2709_8,plain,
( k6_rlvect_1(U_6902,U_6901,U_6900) = k1_rlvect_1(U_6902)
| U_6901 != U_6900
| ~ sP1252(U_6901,U_6902,U_6900) ),
inference(clausify,[status(thm)],[f_2709_3]) ).
fof(f_2710_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_1(A,C,k4_vectsp_1(A,B),k6_vectsp_1(A,C,B,D)) = D
| B = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l4_vectsp_1(C,A)
| ~ v12_vectsp_1(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_vectsp_1]) ).
fof(f_2710_2,plain,
! [U_6906] :
( ! [U_6905] :
( ! [U_6904] :
( ! [U_6903] :
( k6_vectsp_1(U_6906,U_6904,k4_vectsp_1(U_6906,U_6905),k6_vectsp_1(U_6906,U_6904,U_6905,U_6903)) = U_6903
| U_6905 = k1_rlvect_1(U_6906)
| ~ m1_subset_1(U_6903,u1_struct_0(U_6904)) )
| ~ l4_vectsp_1(U_6904,U_6906)
| ~ v12_vectsp_1(U_6904,U_6906)
| ~ v6_rlvect_1(U_6904)
| ~ v5_rlvect_1(U_6904)
| ~ v4_rlvect_1(U_6904)
| v3_struct_0(U_6904) )
| ~ m1_subset_1(U_6905,u1_struct_0(U_6906)) )
| ~ l3_vectsp_1(U_6906)
| v10_vectsp_1(U_6906)
| ~ v9_vectsp_1(U_6906)
| ~ v8_vectsp_1(U_6906)
| ~ v7_vectsp_1(U_6906)
| ~ v7_group_1(U_6906)
| ~ v4_group_1(U_6906)
| ~ v6_rlvect_1(U_6906)
| ~ v5_rlvect_1(U_6906)
| ~ v4_rlvect_1(U_6906)
| ~ v3_rlvect_1(U_6906)
| v3_struct_0(U_6906) ),
inference(variable_rename,[status(thm)],[f_2710_1]) ).
fof(f_2710_3,plain,
! [U_6904,U_6903,U_6905,U_6906] :
( k6_vectsp_1(U_6906,U_6904,k4_vectsp_1(U_6906,U_6905),k6_vectsp_1(U_6906,U_6904,U_6905,U_6903)) = U_6903
| U_6905 = k1_rlvect_1(U_6906)
| ~ m1_subset_1(U_6903,u1_struct_0(U_6904))
| ~ l4_vectsp_1(U_6904,U_6906)
| ~ v12_vectsp_1(U_6904,U_6906)
| ~ v6_rlvect_1(U_6904)
| ~ v5_rlvect_1(U_6904)
| ~ v4_rlvect_1(U_6904)
| v3_struct_0(U_6904)
| ~ m1_subset_1(U_6905,u1_struct_0(U_6906))
| ~ l3_vectsp_1(U_6906)
| v10_vectsp_1(U_6906)
| ~ v9_vectsp_1(U_6906)
| ~ v8_vectsp_1(U_6906)
| ~ v7_vectsp_1(U_6906)
| ~ v7_group_1(U_6906)
| ~ v4_group_1(U_6906)
| ~ v6_rlvect_1(U_6906)
| ~ v5_rlvect_1(U_6906)
| ~ v4_rlvect_1(U_6906)
| ~ v3_rlvect_1(U_6906)
| v3_struct_0(U_6906) ),
inference(definitional_conversion,[status(esa)],[f_2710_2]) ).
cnf(f_2710_4,plain,
( k6_vectsp_1(U_6906,U_6904,k4_vectsp_1(U_6906,U_6905),k6_vectsp_1(U_6906,U_6904,U_6905,U_6903)) = U_6903
| U_6905 = k1_rlvect_1(U_6906)
| ~ m1_subset_1(U_6903,u1_struct_0(U_6904))
| ~ l4_vectsp_1(U_6904,U_6906)
| ~ v12_vectsp_1(U_6904,U_6906)
| ~ v6_rlvect_1(U_6904)
| ~ v5_rlvect_1(U_6904)
| ~ v4_rlvect_1(U_6904)
| v3_struct_0(U_6904)
| ~ m1_subset_1(U_6905,u1_struct_0(U_6906))
| ~ l3_vectsp_1(U_6906)
| v10_vectsp_1(U_6906)
| ~ v9_vectsp_1(U_6906)
| ~ v8_vectsp_1(U_6906)
| ~ v7_vectsp_1(U_6906)
| ~ v7_group_1(U_6906)
| ~ v4_group_1(U_6906)
| ~ v6_rlvect_1(U_6906)
| ~ v5_rlvect_1(U_6906)
| ~ v4_rlvect_1(U_6906)
| ~ v3_rlvect_1(U_6906)
| v3_struct_0(U_6906) ),
inference(clausify,[status(thm)],[f_2710_3]) ).
fof(f_2711_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( k6_rlvect_1(B,E,k6_vectsp_1(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_1(A,B,k5_rlvect_1(A,C),D))
& k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)) = k6_vectsp_1(A,B,k5_rlvect_1(A,C),D) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l4_vectsp_1(B,A)
| ~ v12_vectsp_1(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_vectsp_1]) ).
fof(f_2711_2,plain,
! [U_6911] :
( ! [U_6910] :
( ! [U_6909] :
( ! [U_6908] :
( ! [U_6907] :
( ( k6_rlvect_1(U_6910,U_6907,k6_vectsp_1(U_6911,U_6910,U_6909,U_6908)) = k2_rlvect_1(U_6910,U_6907,k6_vectsp_1(U_6911,U_6910,k5_rlvect_1(U_6911,U_6909),U_6908))
& k5_rlvect_1(U_6910,k6_vectsp_1(U_6911,U_6910,U_6909,U_6908)) = k6_vectsp_1(U_6911,U_6910,k5_rlvect_1(U_6911,U_6909),U_6908) )
| ~ m1_subset_1(U_6907,u1_struct_0(U_6910)) )
| ~ m1_subset_1(U_6908,u1_struct_0(U_6910)) )
| ~ m1_subset_1(U_6909,u1_struct_0(U_6911)) )
| ~ l4_vectsp_1(U_6910,U_6911)
| ~ v12_vectsp_1(U_6910,U_6911)
| ~ v6_rlvect_1(U_6910)
| ~ v5_rlvect_1(U_6910)
| ~ v4_rlvect_1(U_6910)
| v3_struct_0(U_6910) )
| ~ l3_vectsp_1(U_6911)
| ~ v8_vectsp_1(U_6911)
| ~ v7_vectsp_1(U_6911)
| ~ v4_group_1(U_6911)
| ~ v6_rlvect_1(U_6911)
| ~ v5_rlvect_1(U_6911)
| ~ v4_rlvect_1(U_6911)
| ~ v3_rlvect_1(U_6911)
| v3_struct_0(U_6911) ),
inference(variable_rename,[status(thm)],[f_2711_1]) ).
fof(f_2711_3,plain,
( ! [U_6910,U_6909,U_6908,U_6911,U_6907] :
( k6_rlvect_1(U_6910,U_6907,k6_vectsp_1(U_6911,U_6910,U_6909,U_6908)) = k2_rlvect_1(U_6910,U_6907,k6_vectsp_1(U_6911,U_6910,k5_rlvect_1(U_6911,U_6909),U_6908))
| ~ sP1253(U_6910,U_6909,U_6908,U_6911,U_6907) )
& ! [U_6910,U_6909,U_6908,U_6911,U_6907] :
( k5_rlvect_1(U_6910,k6_vectsp_1(U_6911,U_6910,U_6909,U_6908)) = k6_vectsp_1(U_6911,U_6910,k5_rlvect_1(U_6911,U_6909),U_6908)
| ~ sP1253(U_6910,U_6909,U_6908,U_6911,U_6907) )
& ! [U_6910,U_6909,U_6908,U_6911,U_6907] :
( sP1253(U_6910,U_6909,U_6908,U_6911,U_6907)
| ~ m1_subset_1(U_6907,u1_struct_0(U_6910))
| ~ m1_subset_1(U_6908,u1_struct_0(U_6910))
| ~ m1_subset_1(U_6909,u1_struct_0(U_6911))
| ~ l4_vectsp_1(U_6910,U_6911)
| ~ v12_vectsp_1(U_6910,U_6911)
| ~ v6_rlvect_1(U_6910)
| ~ v5_rlvect_1(U_6910)
| ~ v4_rlvect_1(U_6910)
| v3_struct_0(U_6910)
| ~ l3_vectsp_1(U_6911)
| ~ v8_vectsp_1(U_6911)
| ~ v7_vectsp_1(U_6911)
| ~ v4_group_1(U_6911)
| ~ v6_rlvect_1(U_6911)
| ~ v5_rlvect_1(U_6911)
| ~ v4_rlvect_1(U_6911)
| ~ v3_rlvect_1(U_6911)
| v3_struct_0(U_6911) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1253])],[f_2711_2]) ).
cnf(f_2711_4,plain,
( sP1253(U_6910,U_6909,U_6908,U_6911,U_6907)
| ~ m1_subset_1(U_6907,u1_struct_0(U_6910))
| ~ m1_subset_1(U_6908,u1_struct_0(U_6910))
| ~ m1_subset_1(U_6909,u1_struct_0(U_6911))
| ~ l4_vectsp_1(U_6910,U_6911)
| ~ v12_vectsp_1(U_6910,U_6911)
| ~ v6_rlvect_1(U_6910)
| ~ v5_rlvect_1(U_6910)
| ~ v4_rlvect_1(U_6910)
| v3_struct_0(U_6910)
| ~ l3_vectsp_1(U_6911)
| ~ v8_vectsp_1(U_6911)
| ~ v7_vectsp_1(U_6911)
| ~ v4_group_1(U_6911)
| ~ v6_rlvect_1(U_6911)
| ~ v5_rlvect_1(U_6911)
| ~ v4_rlvect_1(U_6911)
| ~ v3_rlvect_1(U_6911)
| v3_struct_0(U_6911) ),
inference(clausify,[status(thm)],[f_2711_3]) ).
cnf(f_2711_5,plain,
( k5_rlvect_1(U_6910,k6_vectsp_1(U_6911,U_6910,U_6909,U_6908)) = k6_vectsp_1(U_6911,U_6910,k5_rlvect_1(U_6911,U_6909),U_6908)
| ~ sP1253(U_6910,U_6909,U_6908,U_6911,U_6907) ),
inference(clausify,[status(thm)],[f_2711_3]) ).
cnf(f_2711_6,plain,
( k6_rlvect_1(U_6910,U_6907,k6_vectsp_1(U_6911,U_6910,U_6909,U_6908)) = k2_rlvect_1(U_6910,U_6907,k6_vectsp_1(U_6911,U_6910,k5_rlvect_1(U_6911,U_6909),U_6908))
| ~ sP1253(U_6910,U_6909,U_6908,U_6911,U_6907) ),
inference(clausify,[status(thm)],[f_2711_3]) ).
fof(f_2712_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_1(A,B,C,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_1(A,B,C,D))
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l4_vectsp_1(B,A)
| ~ v12_vectsp_1(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t69_vectsp_1]) ).
fof(f_2712_2,plain,
! [U_6915] :
( ! [U_6914] :
( ! [U_6913] :
( ! [U_6912] :
( k6_vectsp_1(U_6915,U_6914,U_6913,k5_rlvect_1(U_6914,U_6912)) = k5_rlvect_1(U_6914,k6_vectsp_1(U_6915,U_6914,U_6913,U_6912))
| ~ m1_subset_1(U_6912,u1_struct_0(U_6914)) )
| ~ m1_subset_1(U_6913,u1_struct_0(U_6915)) )
| ~ l4_vectsp_1(U_6914,U_6915)
| ~ v12_vectsp_1(U_6914,U_6915)
| ~ v6_rlvect_1(U_6914)
| ~ v5_rlvect_1(U_6914)
| ~ v4_rlvect_1(U_6914)
| v3_struct_0(U_6914) )
| ~ l3_vectsp_1(U_6915)
| ~ v8_vectsp_1(U_6915)
| ~ v7_vectsp_1(U_6915)
| ~ v6_vectsp_1(U_6915)
| ~ v4_group_1(U_6915)
| ~ v6_rlvect_1(U_6915)
| ~ v5_rlvect_1(U_6915)
| ~ v4_rlvect_1(U_6915)
| ~ v3_rlvect_1(U_6915)
| v3_struct_0(U_6915) ),
inference(variable_rename,[status(thm)],[f_2712_1]) ).
fof(f_2712_3,plain,
! [U_6913,U_6914,U_6915,U_6912] :
( k6_vectsp_1(U_6915,U_6914,U_6913,k5_rlvect_1(U_6914,U_6912)) = k5_rlvect_1(U_6914,k6_vectsp_1(U_6915,U_6914,U_6913,U_6912))
| ~ m1_subset_1(U_6912,u1_struct_0(U_6914))
| ~ m1_subset_1(U_6913,u1_struct_0(U_6915))
| ~ l4_vectsp_1(U_6914,U_6915)
| ~ v12_vectsp_1(U_6914,U_6915)
| ~ v6_rlvect_1(U_6914)
| ~ v5_rlvect_1(U_6914)
| ~ v4_rlvect_1(U_6914)
| v3_struct_0(U_6914)
| ~ l3_vectsp_1(U_6915)
| ~ v8_vectsp_1(U_6915)
| ~ v7_vectsp_1(U_6915)
| ~ v6_vectsp_1(U_6915)
| ~ v4_group_1(U_6915)
| ~ v6_rlvect_1(U_6915)
| ~ v5_rlvect_1(U_6915)
| ~ v4_rlvect_1(U_6915)
| ~ v3_rlvect_1(U_6915)
| v3_struct_0(U_6915) ),
inference(definitional_conversion,[status(esa)],[f_2712_2]) ).
cnf(f_2712_4,plain,
( k6_vectsp_1(U_6915,U_6914,U_6913,k5_rlvect_1(U_6914,U_6912)) = k5_rlvect_1(U_6914,k6_vectsp_1(U_6915,U_6914,U_6913,U_6912))
| ~ m1_subset_1(U_6912,u1_struct_0(U_6914))
| ~ m1_subset_1(U_6913,u1_struct_0(U_6915))
| ~ l4_vectsp_1(U_6914,U_6915)
| ~ v12_vectsp_1(U_6914,U_6915)
| ~ v6_rlvect_1(U_6914)
| ~ v5_rlvect_1(U_6914)
| ~ v4_rlvect_1(U_6914)
| v3_struct_0(U_6914)
| ~ l3_vectsp_1(U_6915)
| ~ v8_vectsp_1(U_6915)
| ~ v7_vectsp_1(U_6915)
| ~ v6_vectsp_1(U_6915)
| ~ v4_group_1(U_6915)
| ~ v6_rlvect_1(U_6915)
| ~ v5_rlvect_1(U_6915)
| ~ v4_rlvect_1(U_6915)
| ~ v3_rlvect_1(U_6915)
| v3_struct_0(U_6915) ),
inference(clausify,[status(thm)],[f_2712_3]) ).
fof(f_2713_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k6_vectsp_1(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_1(A,B,C,D),k6_vectsp_1(A,B,C,E))
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l4_vectsp_1(B,A)
| ~ v12_vectsp_1(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t70_vectsp_1]) ).
fof(f_2713_2,plain,
! [U_6920] :
( ! [U_6919] :
( ! [U_6918] :
( ! [U_6917] :
( ! [U_6916] :
( k6_vectsp_1(U_6920,U_6919,U_6918,k6_rlvect_1(U_6919,U_6917,U_6916)) = k6_rlvect_1(U_6919,k6_vectsp_1(U_6920,U_6919,U_6918,U_6917),k6_vectsp_1(U_6920,U_6919,U_6918,U_6916))
| ~ m1_subset_1(U_6916,u1_struct_0(U_6919)) )
| ~ m1_subset_1(U_6917,u1_struct_0(U_6919)) )
| ~ m1_subset_1(U_6918,u1_struct_0(U_6920)) )
| ~ l4_vectsp_1(U_6919,U_6920)
| ~ v12_vectsp_1(U_6919,U_6920)
| ~ v6_rlvect_1(U_6919)
| ~ v5_rlvect_1(U_6919)
| ~ v4_rlvect_1(U_6919)
| v3_struct_0(U_6919) )
| ~ l3_vectsp_1(U_6920)
| ~ v8_vectsp_1(U_6920)
| ~ v7_vectsp_1(U_6920)
| ~ v6_vectsp_1(U_6920)
| ~ v4_group_1(U_6920)
| ~ v6_rlvect_1(U_6920)
| ~ v5_rlvect_1(U_6920)
| ~ v4_rlvect_1(U_6920)
| ~ v3_rlvect_1(U_6920)
| v3_struct_0(U_6920) ),
inference(variable_rename,[status(thm)],[f_2713_1]) ).
fof(f_2713_3,plain,
! [U_6920,U_6918,U_6917,U_6916,U_6919] :
( k6_vectsp_1(U_6920,U_6919,U_6918,k6_rlvect_1(U_6919,U_6917,U_6916)) = k6_rlvect_1(U_6919,k6_vectsp_1(U_6920,U_6919,U_6918,U_6917),k6_vectsp_1(U_6920,U_6919,U_6918,U_6916))
| ~ m1_subset_1(U_6916,u1_struct_0(U_6919))
| ~ m1_subset_1(U_6917,u1_struct_0(U_6919))
| ~ m1_subset_1(U_6918,u1_struct_0(U_6920))
| ~ l4_vectsp_1(U_6919,U_6920)
| ~ v12_vectsp_1(U_6919,U_6920)
| ~ v6_rlvect_1(U_6919)
| ~ v5_rlvect_1(U_6919)
| ~ v4_rlvect_1(U_6919)
| v3_struct_0(U_6919)
| ~ l3_vectsp_1(U_6920)
| ~ v8_vectsp_1(U_6920)
| ~ v7_vectsp_1(U_6920)
| ~ v6_vectsp_1(U_6920)
| ~ v4_group_1(U_6920)
| ~ v6_rlvect_1(U_6920)
| ~ v5_rlvect_1(U_6920)
| ~ v4_rlvect_1(U_6920)
| ~ v3_rlvect_1(U_6920)
| v3_struct_0(U_6920) ),
inference(definitional_conversion,[status(esa)],[f_2713_2]) ).
cnf(f_2713_4,plain,
( k6_vectsp_1(U_6920,U_6919,U_6918,k6_rlvect_1(U_6919,U_6917,U_6916)) = k6_rlvect_1(U_6919,k6_vectsp_1(U_6920,U_6919,U_6918,U_6917),k6_vectsp_1(U_6920,U_6919,U_6918,U_6916))
| ~ m1_subset_1(U_6916,u1_struct_0(U_6919))
| ~ m1_subset_1(U_6917,u1_struct_0(U_6919))
| ~ m1_subset_1(U_6918,u1_struct_0(U_6920))
| ~ l4_vectsp_1(U_6919,U_6920)
| ~ v12_vectsp_1(U_6919,U_6920)
| ~ v6_rlvect_1(U_6919)
| ~ v5_rlvect_1(U_6919)
| ~ v4_rlvect_1(U_6919)
| v3_struct_0(U_6919)
| ~ l3_vectsp_1(U_6920)
| ~ v8_vectsp_1(U_6920)
| ~ v7_vectsp_1(U_6920)
| ~ v6_vectsp_1(U_6920)
| ~ v4_group_1(U_6920)
| ~ v6_rlvect_1(U_6920)
| ~ v5_rlvect_1(U_6920)
| ~ v4_rlvect_1(U_6920)
| ~ v3_rlvect_1(U_6920)
| v3_struct_0(U_6920) ),
inference(clausify,[status(thm)],[f_2713_3]) ).
fof(f_2714_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t71_vectsp_1]) ).
fof(f_2714_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2714_1]) ).
cnf(f_2714_3,plain,
$true,
inference(clausify,[status(thm)],[f_2714_2]) ).
fof(f_2715_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t72_vectsp_1]) ).
fof(f_2715_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2715_1]) ).
cnf(f_2715_3,plain,
$true,
inference(clausify,[status(thm)],[f_2715_2]) ).
fof(f_2716_1,plain,
! [A] :
( ! [B] :
( k4_vectsp_1(A,k4_vectsp_1(A,B)) = B
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t73_vectsp_1]) ).
fof(f_2716_2,plain,
! [U_6922] :
( ! [U_6921] :
( k4_vectsp_1(U_6922,k4_vectsp_1(U_6922,U_6921)) = U_6921
| U_6921 = k1_rlvect_1(U_6922)
| ~ m1_subset_1(U_6921,u1_struct_0(U_6922)) )
| ~ l3_vectsp_1(U_6922)
| v10_vectsp_1(U_6922)
| ~ v9_vectsp_1(U_6922)
| ~ v8_vectsp_1(U_6922)
| ~ v7_vectsp_1(U_6922)
| ~ v7_group_1(U_6922)
| ~ v4_group_1(U_6922)
| ~ v6_rlvect_1(U_6922)
| ~ v5_rlvect_1(U_6922)
| ~ v4_rlvect_1(U_6922)
| v3_struct_0(U_6922) ),
inference(variable_rename,[status(thm)],[f_2716_1]) ).
fof(f_2716_3,plain,
! [U_6921,U_6922] :
( k4_vectsp_1(U_6922,k4_vectsp_1(U_6922,U_6921)) = U_6921
| U_6921 = k1_rlvect_1(U_6922)
| ~ m1_subset_1(U_6921,u1_struct_0(U_6922))
| ~ l3_vectsp_1(U_6922)
| v10_vectsp_1(U_6922)
| ~ v9_vectsp_1(U_6922)
| ~ v8_vectsp_1(U_6922)
| ~ v7_vectsp_1(U_6922)
| ~ v7_group_1(U_6922)
| ~ v4_group_1(U_6922)
| ~ v6_rlvect_1(U_6922)
| ~ v5_rlvect_1(U_6922)
| ~ v4_rlvect_1(U_6922)
| v3_struct_0(U_6922) ),
inference(definitional_conversion,[status(esa)],[f_2716_2]) ).
cnf(f_2716_4,plain,
( k4_vectsp_1(U_6922,k4_vectsp_1(U_6922,U_6921)) = U_6921
| U_6921 = k1_rlvect_1(U_6922)
| ~ m1_subset_1(U_6921,u1_struct_0(U_6922))
| ~ l3_vectsp_1(U_6922)
| v10_vectsp_1(U_6922)
| ~ v9_vectsp_1(U_6922)
| ~ v8_vectsp_1(U_6922)
| ~ v7_vectsp_1(U_6922)
| ~ v7_group_1(U_6922)
| ~ v4_group_1(U_6922)
| ~ v6_rlvect_1(U_6922)
| ~ v5_rlvect_1(U_6922)
| ~ v4_rlvect_1(U_6922)
| v3_struct_0(U_6922) ),
inference(clausify,[status(thm)],[f_2716_3]) ).
fof(f_2717_1,plain,
! [A] :
( ! [B] :
( ( k5_rlvect_1(A,k4_vectsp_1(A,B)) != k1_rlvect_1(A)
& k4_vectsp_1(A,B) != k1_rlvect_1(A) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t74_vectsp_1]) ).
fof(f_2717_2,plain,
! [U_6924] :
( ! [U_6923] :
( ( k5_rlvect_1(U_6924,k4_vectsp_1(U_6924,U_6923)) != k1_rlvect_1(U_6924)
& k4_vectsp_1(U_6924,U_6923) != k1_rlvect_1(U_6924) )
| U_6923 = k1_rlvect_1(U_6924)
| ~ m1_subset_1(U_6923,u1_struct_0(U_6924)) )
| ~ l3_vectsp_1(U_6924)
| v10_vectsp_1(U_6924)
| ~ v9_vectsp_1(U_6924)
| ~ v8_vectsp_1(U_6924)
| ~ v7_vectsp_1(U_6924)
| ~ v7_group_1(U_6924)
| ~ v4_group_1(U_6924)
| ~ v6_rlvect_1(U_6924)
| ~ v5_rlvect_1(U_6924)
| ~ v4_rlvect_1(U_6924)
| ~ v3_rlvect_1(U_6924)
| v3_struct_0(U_6924) ),
inference(variable_rename,[status(thm)],[f_2717_1]) ).
fof(f_2717_3,plain,
( ! [U_6924,U_6923] :
( k5_rlvect_1(U_6924,k4_vectsp_1(U_6924,U_6923)) != k1_rlvect_1(U_6924)
| ~ sP1254(U_6924,U_6923) )
& ! [U_6924,U_6923] :
( k4_vectsp_1(U_6924,U_6923) != k1_rlvect_1(U_6924)
| ~ sP1254(U_6924,U_6923) )
& ! [U_6924,U_6923] :
( sP1254(U_6924,U_6923)
| U_6923 = k1_rlvect_1(U_6924)
| ~ m1_subset_1(U_6923,u1_struct_0(U_6924))
| ~ l3_vectsp_1(U_6924)
| v10_vectsp_1(U_6924)
| ~ v9_vectsp_1(U_6924)
| ~ v8_vectsp_1(U_6924)
| ~ v7_vectsp_1(U_6924)
| ~ v7_group_1(U_6924)
| ~ v4_group_1(U_6924)
| ~ v6_rlvect_1(U_6924)
| ~ v5_rlvect_1(U_6924)
| ~ v4_rlvect_1(U_6924)
| ~ v3_rlvect_1(U_6924)
| v3_struct_0(U_6924) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1254])],[f_2717_2]) ).
cnf(f_2717_4,plain,
( sP1254(U_6924,U_6923)
| U_6923 = k1_rlvect_1(U_6924)
| ~ m1_subset_1(U_6923,u1_struct_0(U_6924))
| ~ l3_vectsp_1(U_6924)
| v10_vectsp_1(U_6924)
| ~ v9_vectsp_1(U_6924)
| ~ v8_vectsp_1(U_6924)
| ~ v7_vectsp_1(U_6924)
| ~ v7_group_1(U_6924)
| ~ v4_group_1(U_6924)
| ~ v6_rlvect_1(U_6924)
| ~ v5_rlvect_1(U_6924)
| ~ v4_rlvect_1(U_6924)
| ~ v3_rlvect_1(U_6924)
| v3_struct_0(U_6924) ),
inference(clausify,[status(thm)],[f_2717_3]) ).
cnf(f_2717_5,plain,
( k4_vectsp_1(U_6924,U_6923) != k1_rlvect_1(U_6924)
| ~ sP1254(U_6924,U_6923) ),
inference(clausify,[status(thm)],[f_2717_3]) ).
cnf(f_2717_6,plain,
( k5_rlvect_1(U_6924,k4_vectsp_1(U_6924,U_6923)) != k1_rlvect_1(U_6924)
| ~ sP1254(U_6924,U_6923) ),
inference(clausify,[status(thm)],[f_2717_3]) ).
fof(f_2718_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t75_vectsp_1]) ).
fof(f_2718_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2718_1]) ).
cnf(f_2718_3,plain,
$true,
inference(clausify,[status(thm)],[f_2718_2]) ).
fof(f_2719_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t76_vectsp_1]) ).
fof(f_2719_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2719_1]) ).
cnf(f_2719_3,plain,
$true,
inference(clausify,[status(thm)],[f_2719_2]) ).
fof(f_2720_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t77_vectsp_1]) ).
fof(f_2720_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2720_1]) ).
cnf(f_2720_3,plain,
$true,
inference(clausify,[status(thm)],[f_2720_2]) ).
fof(f_2721_1,plain,
k4_rlvect_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),k2_group_1(k3_vectsp_1)) != k1_rlvect_1(k3_vectsp_1),
inference(fof_nnf,[status(thm)],[t78_vectsp_1]) ).
fof(f_2721_2,plain,
k4_rlvect_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),k2_group_1(k3_vectsp_1)) != k1_rlvect_1(k3_vectsp_1),
inference(definitional_conversion,[status(esa)],[f_2721_1]) ).
cnf(f_2721_3,plain,
k4_rlvect_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),k2_group_1(k3_vectsp_1)) != k1_rlvect_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2721_2]) ).
fof(f_2722_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d27_vectsp_1]) ).
fof(f_2722_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2722_1]) ).
cnf(f_2722_3,plain,
$true,
inference(clausify,[status(thm)],[f_2722_2]) ).
fof(f_2723_1,plain,
! [A] :
( ( ( v13_vectsp_1(A)
| ? [B] :
( B != k1_rlvect_1(A)
& k2_rlvect_1(A,B,B) = k1_rlvect_1(A)
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( B = k1_rlvect_1(A)
| k2_rlvect_1(A,B,B) != k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v13_vectsp_1(A) ) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d28_vectsp_1]) ).
fof(f_2723_2,plain,
! [U_6927] :
( ( ( v13_vectsp_1(U_6927)
| ? [U_6926] :
( U_6926 != k1_rlvect_1(U_6927)
& k2_rlvect_1(U_6927,U_6926,U_6926) = k1_rlvect_1(U_6927)
& m1_subset_1(U_6926,u1_struct_0(U_6927)) ) )
& ( ! [U_6925] :
( U_6925 = k1_rlvect_1(U_6927)
| k2_rlvect_1(U_6927,U_6925,U_6925) != k1_rlvect_1(U_6927)
| ~ m1_subset_1(U_6925,u1_struct_0(U_6927)) )
| ~ v13_vectsp_1(U_6927) ) )
| ~ l1_rlvect_1(U_6927)
| v3_struct_0(U_6927) ),
inference(variable_rename,[status(thm)],[f_2723_1]) ).
fof(f_2723_3,plain,
! [U_6927] :
( ( ( v13_vectsp_1(U_6927)
| ( sK864(U_6927) != k1_rlvect_1(U_6927)
& k2_rlvect_1(U_6927,sK864(U_6927),sK864(U_6927)) = k1_rlvect_1(U_6927)
& m1_subset_1(sK864(U_6927),u1_struct_0(U_6927)) ) )
& ( ! [U_6925] :
( U_6925 = k1_rlvect_1(U_6927)
| k2_rlvect_1(U_6927,U_6925,U_6925) != k1_rlvect_1(U_6927)
| ~ m1_subset_1(U_6925,u1_struct_0(U_6927)) )
| ~ v13_vectsp_1(U_6927) ) )
| ~ l1_rlvect_1(U_6927)
| v3_struct_0(U_6927) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK864]),skolemize(U_6926,sK864(U_6927))],[f_2723_2]) ).
fof(f_2723_4,plain,
( ! [U_6927] :
( sK864(U_6927) != k1_rlvect_1(U_6927)
| ~ sP1255(U_6927) )
& ! [U_6927] :
( k2_rlvect_1(U_6927,sK864(U_6927),sK864(U_6927)) = k1_rlvect_1(U_6927)
| ~ sP1255(U_6927) )
& ! [U_6927] :
( m1_subset_1(sK864(U_6927),u1_struct_0(U_6927))
| ~ sP1255(U_6927) )
& ! [U_6925,U_6927] :
( v13_vectsp_1(U_6927)
| sP1255(U_6927)
| ~ sP1256(U_6925,U_6927) )
& ! [U_6925,U_6927] :
( U_6925 = k1_rlvect_1(U_6927)
| k2_rlvect_1(U_6927,U_6925,U_6925) != k1_rlvect_1(U_6927)
| ~ m1_subset_1(U_6925,u1_struct_0(U_6927))
| ~ v13_vectsp_1(U_6927)
| ~ sP1256(U_6925,U_6927) )
& ! [U_6925,U_6927] :
( sP1256(U_6925,U_6927)
| ~ l1_rlvect_1(U_6927)
| v3_struct_0(U_6927) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1255,sP1256])],[f_2723_3]) ).
cnf(f_2723_5,plain,
( sP1256(U_6925,U_6927)
| ~ l1_rlvect_1(U_6927)
| v3_struct_0(U_6927) ),
inference(clausify,[status(thm)],[f_2723_4]) ).
cnf(f_2723_6,plain,
( U_6925 = k1_rlvect_1(U_6927)
| k2_rlvect_1(U_6927,U_6925,U_6925) != k1_rlvect_1(U_6927)
| ~ m1_subset_1(U_6925,u1_struct_0(U_6927))
| ~ v13_vectsp_1(U_6927)
| ~ sP1256(U_6925,U_6927) ),
inference(clausify,[status(thm)],[f_2723_4]) ).
cnf(f_2723_7,plain,
( v13_vectsp_1(U_6927)
| sP1255(U_6927)
| ~ sP1256(U_6925,U_6927) ),
inference(clausify,[status(thm)],[f_2723_4]) ).
cnf(f_2723_8,plain,
( m1_subset_1(sK864(U_6927),u1_struct_0(U_6927))
| ~ sP1255(U_6927) ),
inference(clausify,[status(thm)],[f_2723_4]) ).
cnf(f_2723_9,plain,
( k2_rlvect_1(U_6927,sK864(U_6927),sK864(U_6927)) = k1_rlvect_1(U_6927)
| ~ sP1255(U_6927) ),
inference(clausify,[status(thm)],[f_2723_4]) ).
cnf(f_2723_10,plain,
( sK864(U_6927) != k1_rlvect_1(U_6927)
| ~ sP1255(U_6927) ),
inference(clausify,[status(thm)],[f_2723_4]) ).
fof(f_2724_1,plain,
! [A] :
( ( ( v13_vectsp_1(A)
| k2_rlvect_1(A,k2_group_1(A),k2_group_1(A)) = k1_rlvect_1(A) )
& ( k2_rlvect_1(A,k2_group_1(A),k2_group_1(A)) != k1_rlvect_1(A)
| ~ v13_vectsp_1(A) ) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d29_vectsp_1]) ).
fof(f_2724_2,plain,
! [U_6928] :
( ( ( v13_vectsp_1(U_6928)
| k2_rlvect_1(U_6928,k2_group_1(U_6928),k2_group_1(U_6928)) = k1_rlvect_1(U_6928) )
& ( k2_rlvect_1(U_6928,k2_group_1(U_6928),k2_group_1(U_6928)) != k1_rlvect_1(U_6928)
| ~ v13_vectsp_1(U_6928) ) )
| ~ l3_vectsp_1(U_6928)
| v10_vectsp_1(U_6928)
| ~ v9_vectsp_1(U_6928)
| ~ v8_vectsp_1(U_6928)
| ~ v7_vectsp_1(U_6928)
| ~ v7_group_1(U_6928)
| ~ v4_group_1(U_6928)
| ~ v6_rlvect_1(U_6928)
| ~ v5_rlvect_1(U_6928)
| ~ v4_rlvect_1(U_6928)
| v3_struct_0(U_6928) ),
inference(variable_rename,[status(thm)],[f_2724_1]) ).
fof(f_2724_3,plain,
( ! [U_6928] :
( v13_vectsp_1(U_6928)
| k2_rlvect_1(U_6928,k2_group_1(U_6928),k2_group_1(U_6928)) = k1_rlvect_1(U_6928)
| ~ sP1257(U_6928) )
& ! [U_6928] :
( k2_rlvect_1(U_6928,k2_group_1(U_6928),k2_group_1(U_6928)) != k1_rlvect_1(U_6928)
| ~ v13_vectsp_1(U_6928)
| ~ sP1257(U_6928) )
& ! [U_6928] :
( sP1257(U_6928)
| ~ l3_vectsp_1(U_6928)
| v10_vectsp_1(U_6928)
| ~ v9_vectsp_1(U_6928)
| ~ v8_vectsp_1(U_6928)
| ~ v7_vectsp_1(U_6928)
| ~ v7_group_1(U_6928)
| ~ v4_group_1(U_6928)
| ~ v6_rlvect_1(U_6928)
| ~ v5_rlvect_1(U_6928)
| ~ v4_rlvect_1(U_6928)
| v3_struct_0(U_6928) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1257])],[f_2724_2]) ).
cnf(f_2724_4,plain,
( sP1257(U_6928)
| ~ l3_vectsp_1(U_6928)
| v10_vectsp_1(U_6928)
| ~ v9_vectsp_1(U_6928)
| ~ v8_vectsp_1(U_6928)
| ~ v7_vectsp_1(U_6928)
| ~ v7_group_1(U_6928)
| ~ v4_group_1(U_6928)
| ~ v6_rlvect_1(U_6928)
| ~ v5_rlvect_1(U_6928)
| ~ v4_rlvect_1(U_6928)
| v3_struct_0(U_6928) ),
inference(clausify,[status(thm)],[f_2724_3]) ).
cnf(f_2724_5,plain,
( k2_rlvect_1(U_6928,k2_group_1(U_6928),k2_group_1(U_6928)) != k1_rlvect_1(U_6928)
| ~ v13_vectsp_1(U_6928)
| ~ sP1257(U_6928) ),
inference(clausify,[status(thm)],[f_2724_3]) ).
cnf(f_2724_6,plain,
( v13_vectsp_1(U_6928)
| k2_rlvect_1(U_6928,k2_group_1(U_6928),k2_group_1(U_6928)) = k1_rlvect_1(U_6928)
| ~ sP1257(U_6928) ),
inference(clausify,[status(thm)],[f_2724_3]) ).
fof(f_2725_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t79_vectsp_1]) ).
fof(f_2725_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2725_1]) ).
cnf(f_2725_3,plain,
$true,
inference(clausify,[status(thm)],[f_2725_2]) ).
fof(f_2726_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t80_vectsp_1]) ).
fof(f_2726_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2726_1]) ).
cnf(f_2726_3,plain,
$true,
inference(clausify,[status(thm)],[f_2726_2]) ).
fof(f_2727_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rlvect_1(A,k6_rlvect_1(A,B,C)) = k6_rlvect_1(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t81_vectsp_1]) ).
fof(f_2727_2,plain,
! [U_6931] :
( ! [U_6930] :
( ! [U_6929] :
( k5_rlvect_1(U_6931,k6_rlvect_1(U_6931,U_6930,U_6929)) = k6_rlvect_1(U_6931,U_6929,U_6930)
| ~ m1_subset_1(U_6929,u1_struct_0(U_6931)) )
| ~ m1_subset_1(U_6930,u1_struct_0(U_6931)) )
| ~ l1_rlvect_1(U_6931)
| ~ v6_rlvect_1(U_6931)
| ~ v5_rlvect_1(U_6931)
| ~ v4_rlvect_1(U_6931)
| v3_struct_0(U_6931) ),
inference(variable_rename,[status(thm)],[f_2727_1]) ).
fof(f_2727_3,plain,
! [U_6930,U_6931,U_6929] :
( k5_rlvect_1(U_6931,k6_rlvect_1(U_6931,U_6930,U_6929)) = k6_rlvect_1(U_6931,U_6929,U_6930)
| ~ m1_subset_1(U_6929,u1_struct_0(U_6931))
| ~ m1_subset_1(U_6930,u1_struct_0(U_6931))
| ~ l1_rlvect_1(U_6931)
| ~ v6_rlvect_1(U_6931)
| ~ v5_rlvect_1(U_6931)
| ~ v4_rlvect_1(U_6931)
| v3_struct_0(U_6931) ),
inference(definitional_conversion,[status(esa)],[f_2727_2]) ).
cnf(f_2727_4,plain,
( k5_rlvect_1(U_6931,k6_rlvect_1(U_6931,U_6930,U_6929)) = k6_rlvect_1(U_6931,U_6929,U_6930)
| ~ m1_subset_1(U_6929,u1_struct_0(U_6931))
| ~ m1_subset_1(U_6930,u1_struct_0(U_6931))
| ~ l1_rlvect_1(U_6931)
| ~ v6_rlvect_1(U_6931)
| ~ v5_rlvect_1(U_6931)
| ~ v4_rlvect_1(U_6931)
| v3_struct_0(U_6931) ),
inference(clausify,[status(thm)],[f_2727_3]) ).
fof(f_2728_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t82_vectsp_1]) ).
fof(f_2728_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2728_1]) ).
cnf(f_2728_3,plain,
$true,
inference(clausify,[status(thm)],[f_2728_2]) ).
fof(f_2729_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t83_vectsp_1]) ).
fof(f_2729_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2729_1]) ).
cnf(f_2729_3,plain,
$true,
inference(clausify,[status(thm)],[f_2729_2]) ).
fof(f_2730_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| k6_rlvect_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t84_vectsp_1]) ).
fof(f_2730_2,plain,
! [U_6934] :
( ! [U_6933] :
( ! [U_6932] :
( U_6933 = U_6932
| k6_rlvect_1(U_6934,U_6933,U_6932) != k1_rlvect_1(U_6934)
| ~ m1_subset_1(U_6932,u1_struct_0(U_6934)) )
| ~ m1_subset_1(U_6933,u1_struct_0(U_6934)) )
| ~ l1_rlvect_1(U_6934)
| ~ v6_rlvect_1(U_6934)
| ~ v5_rlvect_1(U_6934)
| ~ v4_rlvect_1(U_6934)
| v3_struct_0(U_6934) ),
inference(variable_rename,[status(thm)],[f_2730_1]) ).
fof(f_2730_3,plain,
! [U_6934,U_6933,U_6932] :
( U_6933 = U_6932
| k6_rlvect_1(U_6934,U_6933,U_6932) != k1_rlvect_1(U_6934)
| ~ m1_subset_1(U_6932,u1_struct_0(U_6934))
| ~ m1_subset_1(U_6933,u1_struct_0(U_6934))
| ~ l1_rlvect_1(U_6934)
| ~ v6_rlvect_1(U_6934)
| ~ v5_rlvect_1(U_6934)
| ~ v4_rlvect_1(U_6934)
| v3_struct_0(U_6934) ),
inference(definitional_conversion,[status(esa)],[f_2730_2]) ).
cnf(f_2730_4,plain,
( U_6933 = U_6932
| k6_rlvect_1(U_6934,U_6933,U_6932) != k1_rlvect_1(U_6934)
| ~ m1_subset_1(U_6932,u1_struct_0(U_6934))
| ~ m1_subset_1(U_6933,u1_struct_0(U_6934))
| ~ l1_rlvect_1(U_6934)
| ~ v6_rlvect_1(U_6934)
| ~ v5_rlvect_1(U_6934)
| ~ v4_rlvect_1(U_6934)
| v3_struct_0(U_6934) ),
inference(clausify,[status(thm)],[f_2730_3]) ).
fof(f_2731_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t85_vectsp_1]) ).
fof(f_2731_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2731_1]) ).
cnf(f_2731_3,plain,
$true,
inference(clausify,[status(thm)],[f_2731_2]) ).
fof(f_2732_1,plain,
! [A] :
( ! [B] :
( B = k1_rlvect_1(A)
| k5_rlvect_1(A,B) != k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t86_vectsp_1]) ).
fof(f_2732_2,plain,
! [U_6936] :
( ! [U_6935] :
( U_6935 = k1_rlvect_1(U_6936)
| k5_rlvect_1(U_6936,U_6935) != k1_rlvect_1(U_6936)
| ~ m1_subset_1(U_6935,u1_struct_0(U_6936)) )
| ~ l1_rlvect_1(U_6936)
| ~ v6_rlvect_1(U_6936)
| ~ v5_rlvect_1(U_6936)
| ~ v4_rlvect_1(U_6936)
| v3_struct_0(U_6936) ),
inference(variable_rename,[status(thm)],[f_2732_1]) ).
fof(f_2732_3,plain,
! [U_6936,U_6935] :
( U_6935 = k1_rlvect_1(U_6936)
| k5_rlvect_1(U_6936,U_6935) != k1_rlvect_1(U_6936)
| ~ m1_subset_1(U_6935,u1_struct_0(U_6936))
| ~ l1_rlvect_1(U_6936)
| ~ v6_rlvect_1(U_6936)
| ~ v5_rlvect_1(U_6936)
| ~ v4_rlvect_1(U_6936)
| v3_struct_0(U_6936) ),
inference(definitional_conversion,[status(esa)],[f_2732_2]) ).
cnf(f_2732_4,plain,
( U_6935 = k1_rlvect_1(U_6936)
| k5_rlvect_1(U_6936,U_6935) != k1_rlvect_1(U_6936)
| ~ m1_subset_1(U_6935,u1_struct_0(U_6936))
| ~ l1_rlvect_1(U_6936)
| ~ v6_rlvect_1(U_6936)
| ~ v5_rlvect_1(U_6936)
| ~ v4_rlvect_1(U_6936)
| v3_struct_0(U_6936) ),
inference(clausify,[status(thm)],[f_2732_3]) ).
fof(f_2733_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_1(A,C,B) = k1_rlvect_1(A)
| k6_rlvect_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t87_vectsp_1]) ).
fof(f_2733_2,plain,
! [U_6939] :
( ! [U_6938] :
( ! [U_6937] :
( k6_rlvect_1(U_6939,U_6937,U_6938) = k1_rlvect_1(U_6939)
| k6_rlvect_1(U_6939,U_6938,U_6937) != k1_rlvect_1(U_6939)
| ~ m1_subset_1(U_6937,u1_struct_0(U_6939)) )
| ~ m1_subset_1(U_6938,u1_struct_0(U_6939)) )
| ~ l1_rlvect_1(U_6939)
| ~ v6_rlvect_1(U_6939)
| ~ v5_rlvect_1(U_6939)
| ~ v4_rlvect_1(U_6939)
| v3_struct_0(U_6939) ),
inference(variable_rename,[status(thm)],[f_2733_1]) ).
fof(f_2733_3,plain,
! [U_6937,U_6938,U_6939] :
( k6_rlvect_1(U_6939,U_6937,U_6938) = k1_rlvect_1(U_6939)
| k6_rlvect_1(U_6939,U_6938,U_6937) != k1_rlvect_1(U_6939)
| ~ m1_subset_1(U_6937,u1_struct_0(U_6939))
| ~ m1_subset_1(U_6938,u1_struct_0(U_6939))
| ~ l1_rlvect_1(U_6939)
| ~ v6_rlvect_1(U_6939)
| ~ v5_rlvect_1(U_6939)
| ~ v4_rlvect_1(U_6939)
| v3_struct_0(U_6939) ),
inference(definitional_conversion,[status(esa)],[f_2733_2]) ).
cnf(f_2733_4,plain,
( k6_rlvect_1(U_6939,U_6937,U_6938) = k1_rlvect_1(U_6939)
| k6_rlvect_1(U_6939,U_6938,U_6937) != k1_rlvect_1(U_6939)
| ~ m1_subset_1(U_6937,u1_struct_0(U_6939))
| ~ m1_subset_1(U_6938,u1_struct_0(U_6939))
| ~ l1_rlvect_1(U_6939)
| ~ v6_rlvect_1(U_6939)
| ~ v5_rlvect_1(U_6939)
| ~ v4_rlvect_1(U_6939)
| v3_struct_0(U_6939) ),
inference(clausify,[status(thm)],[f_2733_3]) ).
fof(f_2734_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k10_group_1(A,C,k4_vectsp_1(A,B))
| B = k1_rlvect_1(A)
| k6_rlvect_1(A,C,k10_group_1(A,D,B)) != k1_rlvect_1(A) )
& ( D = k10_group_1(A,C,k4_vectsp_1(A,B))
| B = k1_rlvect_1(A)
| k6_rlvect_1(A,k10_group_1(A,B,D),C) != k1_rlvect_1(A) ) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t88_vectsp_1]) ).
fof(f_2734_2,plain,
! [U_6943] :
( ! [U_6942] :
( ! [U_6941] :
( ! [U_6940] :
( ( ( U_6940 = k10_group_1(U_6943,U_6941,k4_vectsp_1(U_6943,U_6942))
| U_6942 = k1_rlvect_1(U_6943)
| k6_rlvect_1(U_6943,U_6941,k10_group_1(U_6943,U_6940,U_6942)) != k1_rlvect_1(U_6943) )
& ( U_6940 = k10_group_1(U_6943,U_6941,k4_vectsp_1(U_6943,U_6942))
| U_6942 = k1_rlvect_1(U_6943)
| k6_rlvect_1(U_6943,k10_group_1(U_6943,U_6942,U_6940),U_6941) != k1_rlvect_1(U_6943) ) )
| ~ m1_subset_1(U_6940,u1_struct_0(U_6943)) )
| ~ m1_subset_1(U_6941,u1_struct_0(U_6943)) )
| ~ m1_subset_1(U_6942,u1_struct_0(U_6943)) )
| ~ l3_vectsp_1(U_6943)
| v10_vectsp_1(U_6943)
| ~ v9_vectsp_1(U_6943)
| ~ v8_vectsp_1(U_6943)
| ~ v7_vectsp_1(U_6943)
| ~ v7_group_1(U_6943)
| ~ v4_group_1(U_6943)
| ~ v6_rlvect_1(U_6943)
| ~ v5_rlvect_1(U_6943)
| ~ v4_rlvect_1(U_6943)
| ~ v3_rlvect_1(U_6943)
| v3_struct_0(U_6943) ),
inference(variable_rename,[status(thm)],[f_2734_1]) ).
fof(f_2734_3,plain,
( ! [U_6942,U_6941,U_6940,U_6943] :
( U_6940 = k10_group_1(U_6943,U_6941,k4_vectsp_1(U_6943,U_6942))
| U_6942 = k1_rlvect_1(U_6943)
| k6_rlvect_1(U_6943,U_6941,k10_group_1(U_6943,U_6940,U_6942)) != k1_rlvect_1(U_6943)
| ~ sP1258(U_6942,U_6941,U_6940,U_6943) )
& ! [U_6942,U_6941,U_6940,U_6943] :
( U_6940 = k10_group_1(U_6943,U_6941,k4_vectsp_1(U_6943,U_6942))
| U_6942 = k1_rlvect_1(U_6943)
| k6_rlvect_1(U_6943,k10_group_1(U_6943,U_6942,U_6940),U_6941) != k1_rlvect_1(U_6943)
| ~ sP1258(U_6942,U_6941,U_6940,U_6943) )
& ! [U_6942,U_6941,U_6940,U_6943] :
( sP1258(U_6942,U_6941,U_6940,U_6943)
| ~ m1_subset_1(U_6940,u1_struct_0(U_6943))
| ~ m1_subset_1(U_6941,u1_struct_0(U_6943))
| ~ m1_subset_1(U_6942,u1_struct_0(U_6943))
| ~ l3_vectsp_1(U_6943)
| v10_vectsp_1(U_6943)
| ~ v9_vectsp_1(U_6943)
| ~ v8_vectsp_1(U_6943)
| ~ v7_vectsp_1(U_6943)
| ~ v7_group_1(U_6943)
| ~ v4_group_1(U_6943)
| ~ v6_rlvect_1(U_6943)
| ~ v5_rlvect_1(U_6943)
| ~ v4_rlvect_1(U_6943)
| ~ v3_rlvect_1(U_6943)
| v3_struct_0(U_6943) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1258])],[f_2734_2]) ).
cnf(f_2734_4,plain,
( sP1258(U_6942,U_6941,U_6940,U_6943)
| ~ m1_subset_1(U_6940,u1_struct_0(U_6943))
| ~ m1_subset_1(U_6941,u1_struct_0(U_6943))
| ~ m1_subset_1(U_6942,u1_struct_0(U_6943))
| ~ l3_vectsp_1(U_6943)
| v10_vectsp_1(U_6943)
| ~ v9_vectsp_1(U_6943)
| ~ v8_vectsp_1(U_6943)
| ~ v7_vectsp_1(U_6943)
| ~ v7_group_1(U_6943)
| ~ v4_group_1(U_6943)
| ~ v6_rlvect_1(U_6943)
| ~ v5_rlvect_1(U_6943)
| ~ v4_rlvect_1(U_6943)
| ~ v3_rlvect_1(U_6943)
| v3_struct_0(U_6943) ),
inference(clausify,[status(thm)],[f_2734_3]) ).
cnf(f_2734_5,plain,
( U_6940 = k10_group_1(U_6943,U_6941,k4_vectsp_1(U_6943,U_6942))
| U_6942 = k1_rlvect_1(U_6943)
| k6_rlvect_1(U_6943,k10_group_1(U_6943,U_6942,U_6940),U_6941) != k1_rlvect_1(U_6943)
| ~ sP1258(U_6942,U_6941,U_6940,U_6943) ),
inference(clausify,[status(thm)],[f_2734_3]) ).
cnf(f_2734_6,plain,
( U_6940 = k10_group_1(U_6943,U_6941,k4_vectsp_1(U_6943,U_6942))
| U_6942 = k1_rlvect_1(U_6943)
| k6_rlvect_1(U_6943,U_6941,k10_group_1(U_6943,U_6940,U_6942)) != k1_rlvect_1(U_6943)
| ~ sP1258(U_6942,U_6941,U_6940,U_6943) ),
inference(clausify,[status(thm)],[f_2734_3]) ).
fof(f_2735_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_rlvect_1(A,B,C) = k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B)))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t89_vectsp_1]) ).
fof(f_2735_2,plain,
! [U_6946] :
( ! [U_6945] :
( ! [U_6944] :
( k2_rlvect_1(U_6946,U_6945,U_6944) = k5_rlvect_1(U_6946,k2_rlvect_1(U_6946,k5_rlvect_1(U_6946,U_6944),k5_rlvect_1(U_6946,U_6945)))
| ~ m1_subset_1(U_6944,u1_struct_0(U_6946)) )
| ~ m1_subset_1(U_6945,u1_struct_0(U_6946)) )
| ~ l1_rlvect_1(U_6946)
| ~ v6_rlvect_1(U_6946)
| ~ v5_rlvect_1(U_6946)
| ~ v4_rlvect_1(U_6946)
| v3_struct_0(U_6946) ),
inference(variable_rename,[status(thm)],[f_2735_1]) ).
fof(f_2735_3,plain,
! [U_6944,U_6945,U_6946] :
( k2_rlvect_1(U_6946,U_6945,U_6944) = k5_rlvect_1(U_6946,k2_rlvect_1(U_6946,k5_rlvect_1(U_6946,U_6944),k5_rlvect_1(U_6946,U_6945)))
| ~ m1_subset_1(U_6944,u1_struct_0(U_6946))
| ~ m1_subset_1(U_6945,u1_struct_0(U_6946))
| ~ l1_rlvect_1(U_6946)
| ~ v6_rlvect_1(U_6946)
| ~ v5_rlvect_1(U_6946)
| ~ v4_rlvect_1(U_6946)
| v3_struct_0(U_6946) ),
inference(definitional_conversion,[status(esa)],[f_2735_2]) ).
cnf(f_2735_4,plain,
( k2_rlvect_1(U_6946,U_6945,U_6944) = k5_rlvect_1(U_6946,k2_rlvect_1(U_6946,k5_rlvect_1(U_6946,U_6944),k5_rlvect_1(U_6946,U_6945)))
| ~ m1_subset_1(U_6944,u1_struct_0(U_6946))
| ~ m1_subset_1(U_6945,u1_struct_0(U_6946))
| ~ l1_rlvect_1(U_6946)
| ~ v6_rlvect_1(U_6946)
| ~ v5_rlvect_1(U_6946)
| ~ v4_rlvect_1(U_6946)
| v3_struct_0(U_6946) ),
inference(clausify,[status(thm)],[f_2735_3]) ).
fof(f_2736_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_rlvect_1(A,k2_rlvect_1(A,C,B),k2_rlvect_1(A,D,B)) = k6_rlvect_1(A,C,D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t90_vectsp_1]) ).
fof(f_2736_2,plain,
! [U_6950] :
( ! [U_6949] :
( ! [U_6948] :
( ! [U_6947] :
( k6_rlvect_1(U_6950,k2_rlvect_1(U_6950,U_6948,U_6949),k2_rlvect_1(U_6950,U_6947,U_6949)) = k6_rlvect_1(U_6950,U_6948,U_6947)
| ~ m1_subset_1(U_6947,u1_struct_0(U_6950)) )
| ~ m1_subset_1(U_6948,u1_struct_0(U_6950)) )
| ~ m1_subset_1(U_6949,u1_struct_0(U_6950)) )
| ~ l1_rlvect_1(U_6950)
| ~ v6_rlvect_1(U_6950)
| ~ v5_rlvect_1(U_6950)
| ~ v4_rlvect_1(U_6950)
| v3_struct_0(U_6950) ),
inference(variable_rename,[status(thm)],[f_2736_1]) ).
fof(f_2736_3,plain,
! [U_6950,U_6949,U_6947,U_6948] :
( k6_rlvect_1(U_6950,k2_rlvect_1(U_6950,U_6948,U_6949),k2_rlvect_1(U_6950,U_6947,U_6949)) = k6_rlvect_1(U_6950,U_6948,U_6947)
| ~ m1_subset_1(U_6947,u1_struct_0(U_6950))
| ~ m1_subset_1(U_6948,u1_struct_0(U_6950))
| ~ m1_subset_1(U_6949,u1_struct_0(U_6950))
| ~ l1_rlvect_1(U_6950)
| ~ v6_rlvect_1(U_6950)
| ~ v5_rlvect_1(U_6950)
| ~ v4_rlvect_1(U_6950)
| v3_struct_0(U_6950) ),
inference(definitional_conversion,[status(esa)],[f_2736_2]) ).
cnf(f_2736_4,plain,
( k6_rlvect_1(U_6950,k2_rlvect_1(U_6950,U_6948,U_6949),k2_rlvect_1(U_6950,U_6947,U_6949)) = k6_rlvect_1(U_6950,U_6948,U_6947)
| ~ m1_subset_1(U_6947,u1_struct_0(U_6950))
| ~ m1_subset_1(U_6948,u1_struct_0(U_6950))
| ~ m1_subset_1(U_6949,u1_struct_0(U_6950))
| ~ l1_rlvect_1(U_6950)
| ~ v6_rlvect_1(U_6950)
| ~ v5_rlvect_1(U_6950)
| ~ v4_rlvect_1(U_6950)
| v3_struct_0(U_6950) ),
inference(clausify,[status(thm)],[f_2736_3]) ).
fof(f_2737_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t91_vectsp_1]) ).
fof(f_2737_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2737_1]) ).
cnf(f_2737_3,plain,
$true,
inference(clausify,[status(thm)],[f_2737_2]) ).
fof(f_2738_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,B),C)) = k2_rlvect_1(A,k5_rlvect_1(A,C),B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t92_vectsp_1]) ).
fof(f_2738_2,plain,
! [U_6953] :
( ! [U_6952] :
( ! [U_6951] :
( k5_rlvect_1(U_6953,k2_rlvect_1(U_6953,k5_rlvect_1(U_6953,U_6952),U_6951)) = k2_rlvect_1(U_6953,k5_rlvect_1(U_6953,U_6951),U_6952)
| ~ m1_subset_1(U_6951,u1_struct_0(U_6953)) )
| ~ m1_subset_1(U_6952,u1_struct_0(U_6953)) )
| ~ l1_rlvect_1(U_6953)
| ~ v6_rlvect_1(U_6953)
| ~ v5_rlvect_1(U_6953)
| ~ v4_rlvect_1(U_6953)
| v3_struct_0(U_6953) ),
inference(variable_rename,[status(thm)],[f_2738_1]) ).
fof(f_2738_3,plain,
! [U_6953,U_6952,U_6951] :
( k5_rlvect_1(U_6953,k2_rlvect_1(U_6953,k5_rlvect_1(U_6953,U_6952),U_6951)) = k2_rlvect_1(U_6953,k5_rlvect_1(U_6953,U_6951),U_6952)
| ~ m1_subset_1(U_6951,u1_struct_0(U_6953))
| ~ m1_subset_1(U_6952,u1_struct_0(U_6953))
| ~ l1_rlvect_1(U_6953)
| ~ v6_rlvect_1(U_6953)
| ~ v5_rlvect_1(U_6953)
| ~ v4_rlvect_1(U_6953)
| v3_struct_0(U_6953) ),
inference(definitional_conversion,[status(esa)],[f_2738_2]) ).
cnf(f_2738_4,plain,
( k5_rlvect_1(U_6953,k2_rlvect_1(U_6953,k5_rlvect_1(U_6953,U_6952),U_6951)) = k2_rlvect_1(U_6953,k5_rlvect_1(U_6953,U_6951),U_6952)
| ~ m1_subset_1(U_6951,u1_struct_0(U_6953))
| ~ m1_subset_1(U_6952,u1_struct_0(U_6953))
| ~ l1_rlvect_1(U_6953)
| ~ v6_rlvect_1(U_6953)
| ~ v5_rlvect_1(U_6953)
| ~ v4_rlvect_1(U_6953)
| v3_struct_0(U_6953) ),
inference(clausify,[status(thm)],[f_2738_3]) ).
fof(f_2739_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_rlvect_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t93_vectsp_1]) ).
fof(f_2739_2,plain,
! [U_6957] :
( ! [U_6956] :
( ! [U_6955] :
( ! [U_6954] :
( k6_rlvect_1(U_6957,k6_rlvect_1(U_6957,U_6956,U_6955),U_6954) = k6_rlvect_1(U_6957,k6_rlvect_1(U_6957,U_6956,U_6954),U_6955)
| ~ m1_subset_1(U_6954,u1_struct_0(U_6957)) )
| ~ m1_subset_1(U_6955,u1_struct_0(U_6957)) )
| ~ m1_subset_1(U_6956,u1_struct_0(U_6957)) )
| ~ l1_rlvect_1(U_6957)
| ~ v6_rlvect_1(U_6957)
| ~ v5_rlvect_1(U_6957)
| ~ v4_rlvect_1(U_6957)
| ~ v3_rlvect_1(U_6957)
| v3_struct_0(U_6957) ),
inference(variable_rename,[status(thm)],[f_2739_1]) ).
fof(f_2739_3,plain,
! [U_6955,U_6957,U_6956,U_6954] :
( k6_rlvect_1(U_6957,k6_rlvect_1(U_6957,U_6956,U_6955),U_6954) = k6_rlvect_1(U_6957,k6_rlvect_1(U_6957,U_6956,U_6954),U_6955)
| ~ m1_subset_1(U_6954,u1_struct_0(U_6957))
| ~ m1_subset_1(U_6955,u1_struct_0(U_6957))
| ~ m1_subset_1(U_6956,u1_struct_0(U_6957))
| ~ l1_rlvect_1(U_6957)
| ~ v6_rlvect_1(U_6957)
| ~ v5_rlvect_1(U_6957)
| ~ v4_rlvect_1(U_6957)
| ~ v3_rlvect_1(U_6957)
| v3_struct_0(U_6957) ),
inference(definitional_conversion,[status(esa)],[f_2739_2]) ).
cnf(f_2739_4,plain,
( k6_rlvect_1(U_6957,k6_rlvect_1(U_6957,U_6956,U_6955),U_6954) = k6_rlvect_1(U_6957,k6_rlvect_1(U_6957,U_6956,U_6954),U_6955)
| ~ m1_subset_1(U_6954,u1_struct_0(U_6957))
| ~ m1_subset_1(U_6955,u1_struct_0(U_6957))
| ~ m1_subset_1(U_6956,u1_struct_0(U_6957))
| ~ l1_rlvect_1(U_6957)
| ~ v6_rlvect_1(U_6957)
| ~ v5_rlvect_1(U_6957)
| ~ v4_rlvect_1(U_6957)
| ~ v3_rlvect_1(U_6957)
| v3_struct_0(U_6957) ),
inference(clausify,[status(thm)],[f_2739_3]) ).
fof(f_2740_1,plain,
! [A] :
( ( l1_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& v7_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& v4_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& v3_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A)))
& ~ v3_struct_0(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t94_vectsp_1]) ).
fof(f_2740_2,plain,
! [U_6958] :
( ( l1_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
& v7_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
& v4_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
& v3_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
& ~ v3_struct_0(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958))) )
| ~ l1_rlvect_1(U_6958)
| ~ v6_rlvect_1(U_6958)
| ~ v5_rlvect_1(U_6958)
| ~ v4_rlvect_1(U_6958)
| ~ v3_rlvect_1(U_6958)
| v3_struct_0(U_6958) ),
inference(variable_rename,[status(thm)],[f_2740_1]) ).
fof(f_2740_3,plain,
( ! [U_6958] :
( l1_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) )
& ! [U_6958] :
( v7_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) )
& ! [U_6958] :
( v4_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) )
& ! [U_6958] :
( v3_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) )
& ! [U_6958] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) )
& ! [U_6958] :
( sP1259(U_6958)
| ~ l1_rlvect_1(U_6958)
| ~ v6_rlvect_1(U_6958)
| ~ v5_rlvect_1(U_6958)
| ~ v4_rlvect_1(U_6958)
| ~ v3_rlvect_1(U_6958)
| v3_struct_0(U_6958) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1259])],[f_2740_2]) ).
cnf(f_2740_4,plain,
( sP1259(U_6958)
| ~ l1_rlvect_1(U_6958)
| ~ v6_rlvect_1(U_6958)
| ~ v5_rlvect_1(U_6958)
| ~ v4_rlvect_1(U_6958)
| ~ v3_rlvect_1(U_6958)
| v3_struct_0(U_6958) ),
inference(clausify,[status(thm)],[f_2740_3]) ).
cnf(f_2740_5,plain,
( ~ v3_struct_0(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) ),
inference(clausify,[status(thm)],[f_2740_3]) ).
cnf(f_2740_6,plain,
( v3_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) ),
inference(clausify,[status(thm)],[f_2740_3]) ).
cnf(f_2740_7,plain,
( v4_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) ),
inference(clausify,[status(thm)],[f_2740_3]) ).
cnf(f_2740_8,plain,
( v7_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) ),
inference(clausify,[status(thm)],[f_2740_3]) ).
cnf(f_2740_9,plain,
( l1_group_1(g1_group_1(u1_struct_0(U_6958),u1_rlvect_1(U_6958)))
| ~ sP1259(U_6958) ),
inference(clausify,[status(thm)],[f_2740_3]) ).
fof(f_2741_1,plain,
! [A] :
( l1_group_1(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_vectsp_1]) ).
fof(f_2741_2,plain,
! [U_6959] :
( l1_group_1(U_6959)
| ~ l1_vectsp_1(U_6959) ),
inference(variable_rename,[status(thm)],[f_2741_1]) ).
fof(f_2741_3,plain,
! [U_6959] :
( l1_group_1(U_6959)
| ~ l1_vectsp_1(U_6959) ),
inference(definitional_conversion,[status(esa)],[f_2741_2]) ).
cnf(f_2741_4,plain,
( l1_group_1(U_6959)
| ~ l1_vectsp_1(U_6959) ),
inference(clausify,[status(thm)],[f_2741_3]) ).
fof(f_2742_1,plain,
? [A] : l1_vectsp_1(A),
inference(fof_nnf,[status(thm)],[existence_l1_vectsp_1]) ).
fof(f_2742_2,plain,
? [U_6960] : l1_vectsp_1(U_6960),
inference(variable_rename,[status(thm)],[f_2742_1]) ).
fof(f_2742_3,plain,
l1_vectsp_1(sK865),
inference(skolemize,[status(esa),new_symbols(skolem,[sK865]),skolemize(U_6960,sK865)],[f_2742_2]) ).
fof(f_2742_4,plain,
l1_vectsp_1(sK865),
inference(definitional_conversion,[status(esa)],[f_2742_3]) ).
cnf(f_2742_5,plain,
l1_vectsp_1(sK865),
inference(clausify,[status(thm)],[f_2742_4]) ).
fof(f_2743_1,plain,
! [A] :
( ( l2_struct_0(A)
& l1_vectsp_1(A) )
| ~ l2_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_vectsp_1]) ).
fof(f_2743_2,plain,
! [U_6961] :
( ( l2_struct_0(U_6961)
& l1_vectsp_1(U_6961) )
| ~ l2_vectsp_1(U_6961) ),
inference(variable_rename,[status(thm)],[f_2743_1]) ).
fof(f_2743_3,plain,
( ! [U_6961] :
( l2_struct_0(U_6961)
| ~ sP1260(U_6961) )
& ! [U_6961] :
( l1_vectsp_1(U_6961)
| ~ sP1260(U_6961) )
& ! [U_6961] :
( sP1260(U_6961)
| ~ l2_vectsp_1(U_6961) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1260])],[f_2743_2]) ).
cnf(f_2743_4,plain,
( sP1260(U_6961)
| ~ l2_vectsp_1(U_6961) ),
inference(clausify,[status(thm)],[f_2743_3]) ).
cnf(f_2743_5,plain,
( l1_vectsp_1(U_6961)
| ~ sP1260(U_6961) ),
inference(clausify,[status(thm)],[f_2743_3]) ).
cnf(f_2743_6,plain,
( l2_struct_0(U_6961)
| ~ sP1260(U_6961) ),
inference(clausify,[status(thm)],[f_2743_3]) ).
fof(f_2744_1,plain,
? [A] : l2_vectsp_1(A),
inference(fof_nnf,[status(thm)],[existence_l2_vectsp_1]) ).
fof(f_2744_2,plain,
? [U_6962] : l2_vectsp_1(U_6962),
inference(variable_rename,[status(thm)],[f_2744_1]) ).
fof(f_2744_3,plain,
l2_vectsp_1(sK866),
inference(skolemize,[status(esa),new_symbols(skolem,[sK866]),skolemize(U_6962,sK866)],[f_2744_2]) ).
fof(f_2744_4,plain,
l2_vectsp_1(sK866),
inference(definitional_conversion,[status(esa)],[f_2744_3]) ).
cnf(f_2744_5,plain,
l2_vectsp_1(sK866),
inference(clausify,[status(thm)],[f_2744_4]) ).
fof(f_2745_1,plain,
! [A] :
( ( l2_vectsp_1(A)
& l1_rlvect_1(A) )
| ~ l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1]) ).
fof(f_2745_2,plain,
! [U_6963] :
( ( l2_vectsp_1(U_6963)
& l1_rlvect_1(U_6963) )
| ~ l3_vectsp_1(U_6963) ),
inference(variable_rename,[status(thm)],[f_2745_1]) ).
fof(f_2745_3,plain,
( ! [U_6963] :
( l2_vectsp_1(U_6963)
| ~ sP1261(U_6963) )
& ! [U_6963] :
( l1_rlvect_1(U_6963)
| ~ sP1261(U_6963) )
& ! [U_6963] :
( sP1261(U_6963)
| ~ l3_vectsp_1(U_6963) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1261])],[f_2745_2]) ).
cnf(f_2745_4,plain,
( sP1261(U_6963)
| ~ l3_vectsp_1(U_6963) ),
inference(clausify,[status(thm)],[f_2745_3]) ).
cnf(f_2745_5,plain,
( l1_rlvect_1(U_6963)
| ~ sP1261(U_6963) ),
inference(clausify,[status(thm)],[f_2745_3]) ).
cnf(f_2745_6,plain,
( l2_vectsp_1(U_6963)
| ~ sP1261(U_6963) ),
inference(clausify,[status(thm)],[f_2745_3]) ).
fof(f_2746_1,plain,
? [A] : l3_vectsp_1(A),
inference(fof_nnf,[status(thm)],[existence_l3_vectsp_1]) ).
fof(f_2746_2,plain,
? [U_6964] : l3_vectsp_1(U_6964),
inference(variable_rename,[status(thm)],[f_2746_1]) ).
fof(f_2746_3,plain,
l3_vectsp_1(sK867),
inference(skolemize,[status(esa),new_symbols(skolem,[sK867]),skolemize(U_6964,sK867)],[f_2746_2]) ).
fof(f_2746_4,plain,
l3_vectsp_1(sK867),
inference(definitional_conversion,[status(esa)],[f_2746_3]) ).
cnf(f_2746_5,plain,
l3_vectsp_1(sK867),
inference(clausify,[status(thm)],[f_2746_4]) ).
fof(f_2747_1,plain,
! [A] :
( ! [B] :
( l1_rlvect_1(B)
| ~ l4_vectsp_1(B,A) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_l4_vectsp_1]) ).
fof(f_2747_2,plain,
! [U_6966] :
( ! [U_6965] :
( l1_rlvect_1(U_6965)
| ~ l4_vectsp_1(U_6965,U_6966) )
| ~ l1_struct_0(U_6966) ),
inference(variable_rename,[status(thm)],[f_2747_1]) ).
fof(f_2747_3,plain,
! [U_6965,U_6966] :
( l1_rlvect_1(U_6965)
| ~ l4_vectsp_1(U_6965,U_6966)
| ~ l1_struct_0(U_6966) ),
inference(definitional_conversion,[status(esa)],[f_2747_2]) ).
cnf(f_2747_4,plain,
( l1_rlvect_1(U_6965)
| ~ l4_vectsp_1(U_6965,U_6966)
| ~ l1_struct_0(U_6966) ),
inference(clausify,[status(thm)],[f_2747_3]) ).
fof(f_2748_1,plain,
! [A] :
( ? [B] : l4_vectsp_1(B,A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_l4_vectsp_1]) ).
fof(f_2748_2,plain,
! [U_6968] :
( ? [U_6967] : l4_vectsp_1(U_6967,U_6968)
| ~ l1_struct_0(U_6968) ),
inference(variable_rename,[status(thm)],[f_2748_1]) ).
fof(f_2748_3,plain,
! [U_6968] :
( l4_vectsp_1(sK868(U_6968),U_6968)
| ~ l1_struct_0(U_6968) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK868]),skolemize(U_6967,sK868(U_6968))],[f_2748_2]) ).
fof(f_2748_4,plain,
! [U_6968] :
( l4_vectsp_1(sK868(U_6968),U_6968)
| ~ l1_struct_0(U_6968) ),
inference(definitional_conversion,[status(esa)],[f_2748_3]) ).
cnf(f_2748_5,plain,
( l4_vectsp_1(sK868(U_6968),U_6968)
| ~ l1_struct_0(U_6968) ),
inference(clausify,[status(thm)],[f_2748_4]) ).
fof(f_2749_1,plain,
! [A] :
( A = g1_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A))
| ~ v1_vectsp_1(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v1_vectsp_1]) ).
fof(f_2749_2,plain,
! [U_6969] :
( U_6969 = g1_vectsp_1(u1_struct_0(U_6969),u1_group_1(U_6969),u1_vectsp_1(U_6969))
| ~ v1_vectsp_1(U_6969)
| ~ l1_vectsp_1(U_6969) ),
inference(variable_rename,[status(thm)],[f_2749_1]) ).
fof(f_2749_3,plain,
! [U_6969] :
( U_6969 = g1_vectsp_1(u1_struct_0(U_6969),u1_group_1(U_6969),u1_vectsp_1(U_6969))
| ~ v1_vectsp_1(U_6969)
| ~ l1_vectsp_1(U_6969) ),
inference(definitional_conversion,[status(esa)],[f_2749_2]) ).
cnf(f_2749_4,plain,
( U_6969 = g1_vectsp_1(u1_struct_0(U_6969),u1_group_1(U_6969),u1_vectsp_1(U_6969))
| ~ v1_vectsp_1(U_6969)
| ~ l1_vectsp_1(U_6969) ),
inference(clausify,[status(thm)],[f_2749_3]) ).
fof(f_2750_1,plain,
! [A] :
( A = g2_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A))
| ~ v2_vectsp_1(A)
| ~ l2_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v2_vectsp_1]) ).
fof(f_2750_2,plain,
! [U_6970] :
( U_6970 = g2_vectsp_1(u1_struct_0(U_6970),u1_group_1(U_6970),u1_vectsp_1(U_6970),u2_struct_0(U_6970))
| ~ v2_vectsp_1(U_6970)
| ~ l2_vectsp_1(U_6970) ),
inference(variable_rename,[status(thm)],[f_2750_1]) ).
fof(f_2750_3,plain,
! [U_6970] :
( U_6970 = g2_vectsp_1(u1_struct_0(U_6970),u1_group_1(U_6970),u1_vectsp_1(U_6970),u2_struct_0(U_6970))
| ~ v2_vectsp_1(U_6970)
| ~ l2_vectsp_1(U_6970) ),
inference(definitional_conversion,[status(esa)],[f_2750_2]) ).
cnf(f_2750_4,plain,
( U_6970 = g2_vectsp_1(u1_struct_0(U_6970),u1_group_1(U_6970),u1_vectsp_1(U_6970),u2_struct_0(U_6970))
| ~ v2_vectsp_1(U_6970)
| ~ l2_vectsp_1(U_6970) ),
inference(clausify,[status(thm)],[f_2750_3]) ).
fof(f_2751_1,plain,
! [A] :
( A = g3_vectsp_1(u1_struct_0(A),u1_rlvect_1(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A))
| ~ v3_vectsp_1(A)
| ~ l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v3_vectsp_1]) ).
fof(f_2751_2,plain,
! [U_6971] :
( U_6971 = g3_vectsp_1(u1_struct_0(U_6971),u1_rlvect_1(U_6971),u1_group_1(U_6971),u1_vectsp_1(U_6971),u2_struct_0(U_6971))
| ~ v3_vectsp_1(U_6971)
| ~ l3_vectsp_1(U_6971) ),
inference(variable_rename,[status(thm)],[f_2751_1]) ).
fof(f_2751_3,plain,
! [U_6971] :
( U_6971 = g3_vectsp_1(u1_struct_0(U_6971),u1_rlvect_1(U_6971),u1_group_1(U_6971),u1_vectsp_1(U_6971),u2_struct_0(U_6971))
| ~ v3_vectsp_1(U_6971)
| ~ l3_vectsp_1(U_6971) ),
inference(definitional_conversion,[status(esa)],[f_2751_2]) ).
cnf(f_2751_4,plain,
( U_6971 = g3_vectsp_1(u1_struct_0(U_6971),u1_rlvect_1(U_6971),u1_group_1(U_6971),u1_vectsp_1(U_6971),u2_struct_0(U_6971))
| ~ v3_vectsp_1(U_6971)
| ~ l3_vectsp_1(U_6971) ),
inference(clausify,[status(thm)],[f_2751_3]) ).
fof(f_2752_1,plain,
! [A,B] :
( B = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B))
| ~ v11_vectsp_1(B,A)
| ~ l4_vectsp_1(B,A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v11_vectsp_1]) ).
fof(f_2752_2,plain,
! [U_6973,U_6972] :
( U_6972 = g4_vectsp_1(U_6973,u1_struct_0(U_6972),u1_rlvect_1(U_6972),u2_struct_0(U_6972),u2_vectsp_1(U_6973,U_6972))
| ~ v11_vectsp_1(U_6972,U_6973)
| ~ l4_vectsp_1(U_6972,U_6973)
| ~ l1_struct_0(U_6973) ),
inference(variable_rename,[status(thm)],[f_2752_1]) ).
fof(f_2752_3,plain,
! [U_6972,U_6973] :
( U_6972 = g4_vectsp_1(U_6973,u1_struct_0(U_6972),u1_rlvect_1(U_6972),u2_struct_0(U_6972),u2_vectsp_1(U_6973,U_6972))
| ~ v11_vectsp_1(U_6972,U_6973)
| ~ l4_vectsp_1(U_6972,U_6973)
| ~ l1_struct_0(U_6973) ),
inference(definitional_conversion,[status(esa)],[f_2752_2]) ).
cnf(f_2752_4,plain,
( U_6972 = g4_vectsp_1(U_6973,u1_struct_0(U_6972),u1_rlvect_1(U_6972),u2_struct_0(U_6972),u2_vectsp_1(U_6973,U_6972))
| ~ v11_vectsp_1(U_6972,U_6973)
| ~ l4_vectsp_1(U_6972,U_6973)
| ~ l1_struct_0(U_6973) ),
inference(clausify,[status(thm)],[f_2752_3]) ).
fof(f_2753_1,plain,
( l1_rlvect_1(k1_vectsp_1)
& v1_rlvect_1(k1_vectsp_1) ),
inference(fof_nnf,[status(thm)],[dt_k1_vectsp_1]) ).
fof(f_2753_2,plain,
( l1_rlvect_1(k1_vectsp_1)
& v1_rlvect_1(k1_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2753_1]) ).
cnf(f_2753_3,plain,
v1_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2753_2]) ).
cnf(f_2753_4,plain,
l1_rlvect_1(k1_vectsp_1),
inference(clausify,[status(thm)],[f_2753_2]) ).
fof(f_2754_1,plain,
! [A] :
( m1_subset_1(k2_vectsp_1(A),u1_struct_0(A))
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_vectsp_1]) ).
fof(f_2754_2,plain,
! [U_6974] :
( m1_subset_1(k2_vectsp_1(U_6974),u1_struct_0(U_6974))
| ~ l1_vectsp_1(U_6974) ),
inference(variable_rename,[status(thm)],[f_2754_1]) ).
fof(f_2754_3,plain,
! [U_6974] :
( m1_subset_1(k2_vectsp_1(U_6974),u1_struct_0(U_6974))
| ~ l1_vectsp_1(U_6974) ),
inference(definitional_conversion,[status(esa)],[f_2754_2]) ).
cnf(f_2754_4,plain,
( m1_subset_1(k2_vectsp_1(U_6974),u1_struct_0(U_6974))
| ~ l1_vectsp_1(U_6974) ),
inference(clausify,[status(thm)],[f_2754_3]) ).
fof(f_2755_1,plain,
( l3_vectsp_1(k3_vectsp_1)
& v3_vectsp_1(k3_vectsp_1) ),
inference(fof_nnf,[status(thm)],[dt_k3_vectsp_1]) ).
fof(f_2755_2,plain,
( l3_vectsp_1(k3_vectsp_1)
& v3_vectsp_1(k3_vectsp_1) ),
inference(definitional_conversion,[status(esa)],[f_2755_1]) ).
cnf(f_2755_3,plain,
v3_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2755_2]) ).
cnf(f_2755_4,plain,
l3_vectsp_1(k3_vectsp_1),
inference(clausify,[status(thm)],[f_2755_2]) ).
fof(f_2756_1,plain,
! [A,B] :
( m1_subset_1(k4_vectsp_1(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_vectsp_1]) ).
fof(f_2756_2,plain,
! [U_6976,U_6975] :
( m1_subset_1(k4_vectsp_1(U_6976,U_6975),u1_struct_0(U_6976))
| ~ m1_subset_1(U_6975,u1_struct_0(U_6976))
| ~ l3_vectsp_1(U_6976)
| ~ v9_vectsp_1(U_6976)
| ~ v8_vectsp_1(U_6976)
| ~ v7_vectsp_1(U_6976)
| ~ v7_group_1(U_6976)
| ~ v4_group_1(U_6976)
| v3_struct_0(U_6976) ),
inference(variable_rename,[status(thm)],[f_2756_1]) ).
fof(f_2756_3,plain,
! [U_6975,U_6976] :
( m1_subset_1(k4_vectsp_1(U_6976,U_6975),u1_struct_0(U_6976))
| ~ m1_subset_1(U_6975,u1_struct_0(U_6976))
| ~ l3_vectsp_1(U_6976)
| ~ v9_vectsp_1(U_6976)
| ~ v8_vectsp_1(U_6976)
| ~ v7_vectsp_1(U_6976)
| ~ v7_group_1(U_6976)
| ~ v4_group_1(U_6976)
| v3_struct_0(U_6976) ),
inference(definitional_conversion,[status(esa)],[f_2756_2]) ).
cnf(f_2756_4,plain,
( m1_subset_1(k4_vectsp_1(U_6976,U_6975),u1_struct_0(U_6976))
| ~ m1_subset_1(U_6975,u1_struct_0(U_6976))
| ~ l3_vectsp_1(U_6976)
| ~ v9_vectsp_1(U_6976)
| ~ v8_vectsp_1(U_6976)
| ~ v7_vectsp_1(U_6976)
| ~ v7_group_1(U_6976)
| ~ v4_group_1(U_6976)
| v3_struct_0(U_6976) ),
inference(clausify,[status(thm)],[f_2756_3]) ).
fof(f_2757_1,plain,
! [A,B,C] :
( m1_subset_1(k5_vectsp_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_vectsp_1]) ).
fof(f_2757_2,plain,
! [U_6979,U_6978,U_6977] :
( m1_subset_1(k5_vectsp_1(U_6979,U_6978,U_6977),u1_struct_0(U_6979))
| ~ m1_subset_1(U_6977,u1_struct_0(U_6979))
| ~ m1_subset_1(U_6978,u1_struct_0(U_6979))
| ~ l3_vectsp_1(U_6979)
| ~ v9_vectsp_1(U_6979)
| ~ v8_vectsp_1(U_6979)
| ~ v7_vectsp_1(U_6979)
| ~ v7_group_1(U_6979)
| ~ v4_group_1(U_6979)
| v3_struct_0(U_6979) ),
inference(variable_rename,[status(thm)],[f_2757_1]) ).
fof(f_2757_3,plain,
! [U_6978,U_6977,U_6979] :
( m1_subset_1(k5_vectsp_1(U_6979,U_6978,U_6977),u1_struct_0(U_6979))
| ~ m1_subset_1(U_6977,u1_struct_0(U_6979))
| ~ m1_subset_1(U_6978,u1_struct_0(U_6979))
| ~ l3_vectsp_1(U_6979)
| ~ v9_vectsp_1(U_6979)
| ~ v8_vectsp_1(U_6979)
| ~ v7_vectsp_1(U_6979)
| ~ v7_group_1(U_6979)
| ~ v4_group_1(U_6979)
| v3_struct_0(U_6979) ),
inference(definitional_conversion,[status(esa)],[f_2757_2]) ).
cnf(f_2757_4,plain,
( m1_subset_1(k5_vectsp_1(U_6979,U_6978,U_6977),u1_struct_0(U_6979))
| ~ m1_subset_1(U_6977,u1_struct_0(U_6979))
| ~ m1_subset_1(U_6978,u1_struct_0(U_6979))
| ~ l3_vectsp_1(U_6979)
| ~ v9_vectsp_1(U_6979)
| ~ v8_vectsp_1(U_6979)
| ~ v7_vectsp_1(U_6979)
| ~ v7_group_1(U_6979)
| ~ v4_group_1(U_6979)
| v3_struct_0(U_6979) ),
inference(clausify,[status(thm)],[f_2757_3]) ).
fof(f_2758_1,plain,
! [A,B,C,D] :
( m1_subset_1(k6_vectsp_1(A,B,C,D),u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ l4_vectsp_1(B,A)
| v3_struct_0(B)
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_vectsp_1]) ).
fof(f_2758_2,plain,
! [U_6983,U_6982,U_6981,U_6980] :
( m1_subset_1(k6_vectsp_1(U_6983,U_6982,U_6981,U_6980),u1_struct_0(U_6982))
| ~ m1_subset_1(U_6980,u1_struct_0(U_6982))
| ~ m1_subset_1(U_6981,u1_struct_0(U_6983))
| ~ l4_vectsp_1(U_6982,U_6983)
| v3_struct_0(U_6982)
| ~ l1_struct_0(U_6983)
| v3_struct_0(U_6983) ),
inference(variable_rename,[status(thm)],[f_2758_1]) ).
fof(f_2758_3,plain,
! [U_6981,U_6983,U_6980,U_6982] :
( m1_subset_1(k6_vectsp_1(U_6983,U_6982,U_6981,U_6980),u1_struct_0(U_6982))
| ~ m1_subset_1(U_6980,u1_struct_0(U_6982))
| ~ m1_subset_1(U_6981,u1_struct_0(U_6983))
| ~ l4_vectsp_1(U_6982,U_6983)
| v3_struct_0(U_6982)
| ~ l1_struct_0(U_6983)
| v3_struct_0(U_6983) ),
inference(definitional_conversion,[status(esa)],[f_2758_2]) ).
cnf(f_2758_4,plain,
( m1_subset_1(k6_vectsp_1(U_6983,U_6982,U_6981,U_6980),u1_struct_0(U_6982))
| ~ m1_subset_1(U_6980,u1_struct_0(U_6982))
| ~ m1_subset_1(U_6981,u1_struct_0(U_6983))
| ~ l4_vectsp_1(U_6982,U_6983)
| v3_struct_0(U_6982)
| ~ l1_struct_0(U_6983)
| v3_struct_0(U_6983) ),
inference(clausify,[status(thm)],[f_2758_3]) ).
fof(f_2759_1,plain,
! [A] :
( ( m2_relset_1(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_vectsp_1(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_vectsp_1]) ).
fof(f_2759_2,plain,
! [U_6984] :
( ( m2_relset_1(k7_vectsp_1(U_6984),u1_struct_0(U_6984),u1_struct_0(U_6984))
& v1_funct_2(k7_vectsp_1(U_6984),u1_struct_0(U_6984),u1_struct_0(U_6984))
& v1_funct_1(k7_vectsp_1(U_6984)) )
| ~ l1_rlvect_1(U_6984)
| v3_struct_0(U_6984) ),
inference(variable_rename,[status(thm)],[f_2759_1]) ).
fof(f_2759_3,plain,
( ! [U_6984] :
( m2_relset_1(k7_vectsp_1(U_6984),u1_struct_0(U_6984),u1_struct_0(U_6984))
| ~ sP1262(U_6984) )
& ! [U_6984] :
( v1_funct_2(k7_vectsp_1(U_6984),u1_struct_0(U_6984),u1_struct_0(U_6984))
| ~ sP1262(U_6984) )
& ! [U_6984] :
( v1_funct_1(k7_vectsp_1(U_6984))
| ~ sP1262(U_6984) )
& ! [U_6984] :
( sP1262(U_6984)
| ~ l1_rlvect_1(U_6984)
| v3_struct_0(U_6984) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1262])],[f_2759_2]) ).
cnf(f_2759_4,plain,
( sP1262(U_6984)
| ~ l1_rlvect_1(U_6984)
| v3_struct_0(U_6984) ),
inference(clausify,[status(thm)],[f_2759_3]) ).
cnf(f_2759_5,plain,
( v1_funct_1(k7_vectsp_1(U_6984))
| ~ sP1262(U_6984) ),
inference(clausify,[status(thm)],[f_2759_3]) ).
cnf(f_2759_6,plain,
( v1_funct_2(k7_vectsp_1(U_6984),u1_struct_0(U_6984),u1_struct_0(U_6984))
| ~ sP1262(U_6984) ),
inference(clausify,[status(thm)],[f_2759_3]) ).
cnf(f_2759_7,plain,
( m2_relset_1(k7_vectsp_1(U_6984),u1_struct_0(U_6984),u1_struct_0(U_6984))
| ~ sP1262(U_6984) ),
inference(clausify,[status(thm)],[f_2759_3]) ).
fof(f_2760_1,plain,
! [A] :
( m1_subset_1(u1_vectsp_1(A),u1_struct_0(A))
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_vectsp_1]) ).
fof(f_2760_2,plain,
! [U_6985] :
( m1_subset_1(u1_vectsp_1(U_6985),u1_struct_0(U_6985))
| ~ l1_vectsp_1(U_6985) ),
inference(variable_rename,[status(thm)],[f_2760_1]) ).
fof(f_2760_3,plain,
! [U_6985] :
( m1_subset_1(u1_vectsp_1(U_6985),u1_struct_0(U_6985))
| ~ l1_vectsp_1(U_6985) ),
inference(definitional_conversion,[status(esa)],[f_2760_2]) ).
cnf(f_2760_4,plain,
( m1_subset_1(u1_vectsp_1(U_6985),u1_struct_0(U_6985))
| ~ l1_vectsp_1(U_6985) ),
inference(clausify,[status(thm)],[f_2760_3]) ).
fof(f_2761_1,plain,
! [A,B] :
( ( m2_relset_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B))
& v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B))
& v1_funct_1(u2_vectsp_1(A,B)) )
| ~ l4_vectsp_1(B,A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_vectsp_1]) ).
fof(f_2761_2,plain,
! [U_6987,U_6986] :
( ( m2_relset_1(u2_vectsp_1(U_6987,U_6986),k2_zfmisc_1(u1_struct_0(U_6987),u1_struct_0(U_6986)),u1_struct_0(U_6986))
& v1_funct_2(u2_vectsp_1(U_6987,U_6986),k2_zfmisc_1(u1_struct_0(U_6987),u1_struct_0(U_6986)),u1_struct_0(U_6986))
& v1_funct_1(u2_vectsp_1(U_6987,U_6986)) )
| ~ l4_vectsp_1(U_6986,U_6987)
| ~ l1_struct_0(U_6987) ),
inference(variable_rename,[status(thm)],[f_2761_1]) ).
fof(f_2761_3,plain,
( ! [U_6986,U_6987] :
( m2_relset_1(u2_vectsp_1(U_6987,U_6986),k2_zfmisc_1(u1_struct_0(U_6987),u1_struct_0(U_6986)),u1_struct_0(U_6986))
| ~ sP1263(U_6986,U_6987) )
& ! [U_6986,U_6987] :
( v1_funct_2(u2_vectsp_1(U_6987,U_6986),k2_zfmisc_1(u1_struct_0(U_6987),u1_struct_0(U_6986)),u1_struct_0(U_6986))
| ~ sP1263(U_6986,U_6987) )
& ! [U_6986,U_6987] :
( v1_funct_1(u2_vectsp_1(U_6987,U_6986))
| ~ sP1263(U_6986,U_6987) )
& ! [U_6986,U_6987] :
( sP1263(U_6986,U_6987)
| ~ l4_vectsp_1(U_6986,U_6987)
| ~ l1_struct_0(U_6987) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1263])],[f_2761_2]) ).
cnf(f_2761_4,plain,
( sP1263(U_6986,U_6987)
| ~ l4_vectsp_1(U_6986,U_6987)
| ~ l1_struct_0(U_6987) ),
inference(clausify,[status(thm)],[f_2761_3]) ).
cnf(f_2761_5,plain,
( v1_funct_1(u2_vectsp_1(U_6987,U_6986))
| ~ sP1263(U_6986,U_6987) ),
inference(clausify,[status(thm)],[f_2761_3]) ).
cnf(f_2761_6,plain,
( v1_funct_2(u2_vectsp_1(U_6987,U_6986),k2_zfmisc_1(u1_struct_0(U_6987),u1_struct_0(U_6986)),u1_struct_0(U_6986))
| ~ sP1263(U_6986,U_6987) ),
inference(clausify,[status(thm)],[f_2761_3]) ).
cnf(f_2761_7,plain,
( m2_relset_1(u2_vectsp_1(U_6987,U_6986),k2_zfmisc_1(u1_struct_0(U_6987),u1_struct_0(U_6986)),u1_struct_0(U_6986))
| ~ sP1263(U_6986,U_6987) ),
inference(clausify,[status(thm)],[f_2761_3]) ).
fof(f_2762_1,plain,
! [A,B,C] :
( ( l1_vectsp_1(g1_vectsp_1(A,B,C))
& v1_vectsp_1(g1_vectsp_1(A,B,C)) )
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g1_vectsp_1]) ).
fof(f_2762_2,plain,
! [U_6990,U_6989,U_6988] :
( ( l1_vectsp_1(g1_vectsp_1(U_6990,U_6989,U_6988))
& v1_vectsp_1(g1_vectsp_1(U_6990,U_6989,U_6988)) )
| ~ m1_subset_1(U_6988,U_6990)
| ~ m1_relset_1(U_6989,k2_zfmisc_1(U_6990,U_6990),U_6990)
| ~ v1_funct_2(U_6989,k2_zfmisc_1(U_6990,U_6990),U_6990)
| ~ v1_funct_1(U_6989) ),
inference(variable_rename,[status(thm)],[f_2762_1]) ).
fof(f_2762_3,plain,
( ! [U_6988,U_6990,U_6989] :
( l1_vectsp_1(g1_vectsp_1(U_6990,U_6989,U_6988))
| ~ sP1264(U_6988,U_6990,U_6989) )
& ! [U_6988,U_6990,U_6989] :
( v1_vectsp_1(g1_vectsp_1(U_6990,U_6989,U_6988))
| ~ sP1264(U_6988,U_6990,U_6989) )
& ! [U_6988,U_6990,U_6989] :
( sP1264(U_6988,U_6990,U_6989)
| ~ m1_subset_1(U_6988,U_6990)
| ~ m1_relset_1(U_6989,k2_zfmisc_1(U_6990,U_6990),U_6990)
| ~ v1_funct_2(U_6989,k2_zfmisc_1(U_6990,U_6990),U_6990)
| ~ v1_funct_1(U_6989) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1264])],[f_2762_2]) ).
cnf(f_2762_4,plain,
( sP1264(U_6988,U_6990,U_6989)
| ~ m1_subset_1(U_6988,U_6990)
| ~ m1_relset_1(U_6989,k2_zfmisc_1(U_6990,U_6990),U_6990)
| ~ v1_funct_2(U_6989,k2_zfmisc_1(U_6990,U_6990),U_6990)
| ~ v1_funct_1(U_6989) ),
inference(clausify,[status(thm)],[f_2762_3]) ).
cnf(f_2762_5,plain,
( v1_vectsp_1(g1_vectsp_1(U_6990,U_6989,U_6988))
| ~ sP1264(U_6988,U_6990,U_6989) ),
inference(clausify,[status(thm)],[f_2762_3]) ).
cnf(f_2762_6,plain,
( l1_vectsp_1(g1_vectsp_1(U_6990,U_6989,U_6988))
| ~ sP1264(U_6988,U_6990,U_6989) ),
inference(clausify,[status(thm)],[f_2762_3]) ).
fof(f_2763_1,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g1_vectsp_1(A,B,C) != g1_vectsp_1(D,E,F) )
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g1_vectsp_1]) ).
fof(f_2763_2,plain,
! [U_6996,U_6995,U_6994] :
( ! [U_6993,U_6992,U_6991] :
( ( U_6994 = U_6991
& U_6995 = U_6992
& U_6996 = U_6993 )
| g1_vectsp_1(U_6996,U_6995,U_6994) != g1_vectsp_1(U_6993,U_6992,U_6991) )
| ~ m1_subset_1(U_6994,U_6996)
| ~ m1_relset_1(U_6995,k2_zfmisc_1(U_6996,U_6996),U_6996)
| ~ v1_funct_2(U_6995,k2_zfmisc_1(U_6996,U_6996),U_6996)
| ~ v1_funct_1(U_6995) ),
inference(variable_rename,[status(thm)],[f_2763_1]) ).
fof(f_2763_3,plain,
( ! [U_6995,U_6994,U_6992,U_6993,U_6991,U_6996] :
( U_6994 = U_6991
| ~ sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996) )
& ! [U_6995,U_6994,U_6992,U_6993,U_6991,U_6996] :
( U_6995 = U_6992
| ~ sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996) )
& ! [U_6995,U_6994,U_6992,U_6993,U_6991,U_6996] :
( U_6996 = U_6993
| ~ sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996) )
& ! [U_6995,U_6994,U_6992,U_6993,U_6991,U_6996] :
( sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996)
| g1_vectsp_1(U_6996,U_6995,U_6994) != g1_vectsp_1(U_6993,U_6992,U_6991)
| ~ m1_subset_1(U_6994,U_6996)
| ~ m1_relset_1(U_6995,k2_zfmisc_1(U_6996,U_6996),U_6996)
| ~ v1_funct_2(U_6995,k2_zfmisc_1(U_6996,U_6996),U_6996)
| ~ v1_funct_1(U_6995) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1265])],[f_2763_2]) ).
cnf(f_2763_4,plain,
( sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996)
| g1_vectsp_1(U_6996,U_6995,U_6994) != g1_vectsp_1(U_6993,U_6992,U_6991)
| ~ m1_subset_1(U_6994,U_6996)
| ~ m1_relset_1(U_6995,k2_zfmisc_1(U_6996,U_6996),U_6996)
| ~ v1_funct_2(U_6995,k2_zfmisc_1(U_6996,U_6996),U_6996)
| ~ v1_funct_1(U_6995) ),
inference(clausify,[status(thm)],[f_2763_3]) ).
cnf(f_2763_5,plain,
( U_6996 = U_6993
| ~ sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996) ),
inference(clausify,[status(thm)],[f_2763_3]) ).
cnf(f_2763_6,plain,
( U_6995 = U_6992
| ~ sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996) ),
inference(clausify,[status(thm)],[f_2763_3]) ).
cnf(f_2763_7,plain,
( U_6994 = U_6991
| ~ sP1265(U_6995,U_6994,U_6992,U_6993,U_6991,U_6996) ),
inference(clausify,[status(thm)],[f_2763_3]) ).
fof(f_2764_1,plain,
! [A,B,C,D] :
( ( l2_vectsp_1(g2_vectsp_1(A,B,C,D))
& v2_vectsp_1(g2_vectsp_1(A,B,C,D)) )
| ~ m1_subset_1(D,A)
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g2_vectsp_1]) ).
fof(f_2764_2,plain,
! [U_7000,U_6999,U_6998,U_6997] :
( ( l2_vectsp_1(g2_vectsp_1(U_7000,U_6999,U_6998,U_6997))
& v2_vectsp_1(g2_vectsp_1(U_7000,U_6999,U_6998,U_6997)) )
| ~ m1_subset_1(U_6997,U_7000)
| ~ m1_subset_1(U_6998,U_7000)
| ~ m1_relset_1(U_6999,k2_zfmisc_1(U_7000,U_7000),U_7000)
| ~ v1_funct_2(U_6999,k2_zfmisc_1(U_7000,U_7000),U_7000)
| ~ v1_funct_1(U_6999) ),
inference(variable_rename,[status(thm)],[f_2764_1]) ).
fof(f_2764_3,plain,
( ! [U_6999,U_6997,U_6998,U_7000] :
( l2_vectsp_1(g2_vectsp_1(U_7000,U_6999,U_6998,U_6997))
| ~ sP1266(U_6999,U_6997,U_6998,U_7000) )
& ! [U_6999,U_6997,U_6998,U_7000] :
( v2_vectsp_1(g2_vectsp_1(U_7000,U_6999,U_6998,U_6997))
| ~ sP1266(U_6999,U_6997,U_6998,U_7000) )
& ! [U_6999,U_6997,U_6998,U_7000] :
( sP1266(U_6999,U_6997,U_6998,U_7000)
| ~ m1_subset_1(U_6997,U_7000)
| ~ m1_subset_1(U_6998,U_7000)
| ~ m1_relset_1(U_6999,k2_zfmisc_1(U_7000,U_7000),U_7000)
| ~ v1_funct_2(U_6999,k2_zfmisc_1(U_7000,U_7000),U_7000)
| ~ v1_funct_1(U_6999) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1266])],[f_2764_2]) ).
cnf(f_2764_4,plain,
( sP1266(U_6999,U_6997,U_6998,U_7000)
| ~ m1_subset_1(U_6997,U_7000)
| ~ m1_subset_1(U_6998,U_7000)
| ~ m1_relset_1(U_6999,k2_zfmisc_1(U_7000,U_7000),U_7000)
| ~ v1_funct_2(U_6999,k2_zfmisc_1(U_7000,U_7000),U_7000)
| ~ v1_funct_1(U_6999) ),
inference(clausify,[status(thm)],[f_2764_3]) ).
cnf(f_2764_5,plain,
( v2_vectsp_1(g2_vectsp_1(U_7000,U_6999,U_6998,U_6997))
| ~ sP1266(U_6999,U_6997,U_6998,U_7000) ),
inference(clausify,[status(thm)],[f_2764_3]) ).
cnf(f_2764_6,plain,
( l2_vectsp_1(g2_vectsp_1(U_7000,U_6999,U_6998,U_6997))
| ~ sP1266(U_6999,U_6997,U_6998,U_7000) ),
inference(clausify,[status(thm)],[f_2764_3]) ).
fof(f_2765_1,plain,
! [A,B,C,D] :
( ! [E,F,G,H] :
( ( D = H
& C = G
& B = F
& A = E )
| g2_vectsp_1(A,B,C,D) != g2_vectsp_1(E,F,G,H) )
| ~ m1_subset_1(D,A)
| ~ m1_subset_1(C,A)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g2_vectsp_1]) ).
fof(f_2765_2,plain,
! [U_7008,U_7007,U_7006,U_7005] :
( ! [U_7004,U_7003,U_7002,U_7001] :
( ( U_7005 = U_7001
& U_7006 = U_7002
& U_7007 = U_7003
& U_7008 = U_7004 )
| g2_vectsp_1(U_7008,U_7007,U_7006,U_7005) != g2_vectsp_1(U_7004,U_7003,U_7002,U_7001) )
| ~ m1_subset_1(U_7005,U_7008)
| ~ m1_subset_1(U_7006,U_7008)
| ~ m1_relset_1(U_7007,k2_zfmisc_1(U_7008,U_7008),U_7008)
| ~ v1_funct_2(U_7007,k2_zfmisc_1(U_7008,U_7008),U_7008)
| ~ v1_funct_1(U_7007) ),
inference(variable_rename,[status(thm)],[f_2765_1]) ).
fof(f_2765_3,plain,
( ! [U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001] :
( U_7005 = U_7001
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) )
& ! [U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001] :
( U_7006 = U_7002
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) )
& ! [U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001] :
( U_7007 = U_7003
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) )
& ! [U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001] :
( U_7008 = U_7004
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) )
& ! [U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001] :
( sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001)
| g2_vectsp_1(U_7008,U_7007,U_7006,U_7005) != g2_vectsp_1(U_7004,U_7003,U_7002,U_7001)
| ~ m1_subset_1(U_7005,U_7008)
| ~ m1_subset_1(U_7006,U_7008)
| ~ m1_relset_1(U_7007,k2_zfmisc_1(U_7008,U_7008),U_7008)
| ~ v1_funct_2(U_7007,k2_zfmisc_1(U_7008,U_7008),U_7008)
| ~ v1_funct_1(U_7007) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1267])],[f_2765_2]) ).
cnf(f_2765_4,plain,
( sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001)
| g2_vectsp_1(U_7008,U_7007,U_7006,U_7005) != g2_vectsp_1(U_7004,U_7003,U_7002,U_7001)
| ~ m1_subset_1(U_7005,U_7008)
| ~ m1_subset_1(U_7006,U_7008)
| ~ m1_relset_1(U_7007,k2_zfmisc_1(U_7008,U_7008),U_7008)
| ~ v1_funct_2(U_7007,k2_zfmisc_1(U_7008,U_7008),U_7008)
| ~ v1_funct_1(U_7007) ),
inference(clausify,[status(thm)],[f_2765_3]) ).
cnf(f_2765_5,plain,
( U_7008 = U_7004
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) ),
inference(clausify,[status(thm)],[f_2765_3]) ).
cnf(f_2765_6,plain,
( U_7007 = U_7003
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) ),
inference(clausify,[status(thm)],[f_2765_3]) ).
cnf(f_2765_7,plain,
( U_7006 = U_7002
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) ),
inference(clausify,[status(thm)],[f_2765_3]) ).
cnf(f_2765_8,plain,
( U_7005 = U_7001
| ~ sP1267(U_7006,U_7007,U_7002,U_7005,U_7008,U_7004,U_7003,U_7001) ),
inference(clausify,[status(thm)],[f_2765_3]) ).
fof(f_2766_1,plain,
! [A,B,C,D,E] :
( ( l3_vectsp_1(g3_vectsp_1(A,B,C,D,E))
& v3_vectsp_1(g3_vectsp_1(A,B,C,D,E)) )
| ~ m1_subset_1(E,A)
| ~ m1_subset_1(D,A)
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g3_vectsp_1]) ).
fof(f_2766_2,plain,
! [U_7013,U_7012,U_7011,U_7010,U_7009] :
( ( l3_vectsp_1(g3_vectsp_1(U_7013,U_7012,U_7011,U_7010,U_7009))
& v3_vectsp_1(g3_vectsp_1(U_7013,U_7012,U_7011,U_7010,U_7009)) )
| ~ m1_subset_1(U_7009,U_7013)
| ~ m1_subset_1(U_7010,U_7013)
| ~ m1_relset_1(U_7011,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_2(U_7011,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_1(U_7011)
| ~ m1_relset_1(U_7012,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_2(U_7012,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_1(U_7012) ),
inference(variable_rename,[status(thm)],[f_2766_1]) ).
fof(f_2766_3,plain,
( ! [U_7012,U_7010,U_7013,U_7011,U_7009] :
( l3_vectsp_1(g3_vectsp_1(U_7013,U_7012,U_7011,U_7010,U_7009))
| ~ sP1268(U_7012,U_7010,U_7013,U_7011,U_7009) )
& ! [U_7012,U_7010,U_7013,U_7011,U_7009] :
( v3_vectsp_1(g3_vectsp_1(U_7013,U_7012,U_7011,U_7010,U_7009))
| ~ sP1268(U_7012,U_7010,U_7013,U_7011,U_7009) )
& ! [U_7012,U_7010,U_7013,U_7011,U_7009] :
( sP1268(U_7012,U_7010,U_7013,U_7011,U_7009)
| ~ m1_subset_1(U_7009,U_7013)
| ~ m1_subset_1(U_7010,U_7013)
| ~ m1_relset_1(U_7011,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_2(U_7011,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_1(U_7011)
| ~ m1_relset_1(U_7012,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_2(U_7012,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_1(U_7012) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1268])],[f_2766_2]) ).
cnf(f_2766_4,plain,
( sP1268(U_7012,U_7010,U_7013,U_7011,U_7009)
| ~ m1_subset_1(U_7009,U_7013)
| ~ m1_subset_1(U_7010,U_7013)
| ~ m1_relset_1(U_7011,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_2(U_7011,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_1(U_7011)
| ~ m1_relset_1(U_7012,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_2(U_7012,k2_zfmisc_1(U_7013,U_7013),U_7013)
| ~ v1_funct_1(U_7012) ),
inference(clausify,[status(thm)],[f_2766_3]) ).
cnf(f_2766_5,plain,
( v3_vectsp_1(g3_vectsp_1(U_7013,U_7012,U_7011,U_7010,U_7009))
| ~ sP1268(U_7012,U_7010,U_7013,U_7011,U_7009) ),
inference(clausify,[status(thm)],[f_2766_3]) ).
cnf(f_2766_6,plain,
( l3_vectsp_1(g3_vectsp_1(U_7013,U_7012,U_7011,U_7010,U_7009))
| ~ sP1268(U_7012,U_7010,U_7013,U_7011,U_7009) ),
inference(clausify,[status(thm)],[f_2766_3]) ).
fof(f_2767_1,plain,
! [A,B,C,D,E] :
( ! [F,G,H,I,J] :
( ( E = J
& D = I
& C = H
& B = G
& A = F )
| g3_vectsp_1(A,B,C,D,E) != g3_vectsp_1(F,G,H,I,J) )
| ~ m1_subset_1(E,A)
| ~ m1_subset_1(D,A)
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g3_vectsp_1]) ).
fof(f_2767_2,plain,
! [U_7023,U_7022,U_7021,U_7020,U_7019] :
( ! [U_7018,U_7017,U_7016,U_7015,U_7014] :
( ( U_7019 = U_7014
& U_7020 = U_7015
& U_7021 = U_7016
& U_7022 = U_7017
& U_7023 = U_7018 )
| g3_vectsp_1(U_7023,U_7022,U_7021,U_7020,U_7019) != g3_vectsp_1(U_7018,U_7017,U_7016,U_7015,U_7014) )
| ~ m1_subset_1(U_7019,U_7023)
| ~ m1_subset_1(U_7020,U_7023)
| ~ m1_relset_1(U_7021,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_2(U_7021,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_1(U_7021)
| ~ m1_relset_1(U_7022,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_2(U_7022,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_1(U_7022) ),
inference(variable_rename,[status(thm)],[f_2767_1]) ).
fof(f_2767_3,plain,
( ! [U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014] :
( U_7019 = U_7014
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) )
& ! [U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014] :
( U_7020 = U_7015
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) )
& ! [U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014] :
( U_7021 = U_7016
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) )
& ! [U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014] :
( U_7022 = U_7017
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) )
& ! [U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014] :
( U_7023 = U_7018
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) )
& ! [U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014] :
( sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014)
| g3_vectsp_1(U_7023,U_7022,U_7021,U_7020,U_7019) != g3_vectsp_1(U_7018,U_7017,U_7016,U_7015,U_7014)
| ~ m1_subset_1(U_7019,U_7023)
| ~ m1_subset_1(U_7020,U_7023)
| ~ m1_relset_1(U_7021,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_2(U_7021,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_1(U_7021)
| ~ m1_relset_1(U_7022,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_2(U_7022,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_1(U_7022) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1269])],[f_2767_2]) ).
cnf(f_2767_4,plain,
( sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014)
| g3_vectsp_1(U_7023,U_7022,U_7021,U_7020,U_7019) != g3_vectsp_1(U_7018,U_7017,U_7016,U_7015,U_7014)
| ~ m1_subset_1(U_7019,U_7023)
| ~ m1_subset_1(U_7020,U_7023)
| ~ m1_relset_1(U_7021,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_2(U_7021,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_1(U_7021)
| ~ m1_relset_1(U_7022,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_2(U_7022,k2_zfmisc_1(U_7023,U_7023),U_7023)
| ~ v1_funct_1(U_7022) ),
inference(clausify,[status(thm)],[f_2767_3]) ).
cnf(f_2767_5,plain,
( U_7023 = U_7018
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) ),
inference(clausify,[status(thm)],[f_2767_3]) ).
cnf(f_2767_6,plain,
( U_7022 = U_7017
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) ),
inference(clausify,[status(thm)],[f_2767_3]) ).
cnf(f_2767_7,plain,
( U_7021 = U_7016
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) ),
inference(clausify,[status(thm)],[f_2767_3]) ).
cnf(f_2767_8,plain,
( U_7020 = U_7015
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) ),
inference(clausify,[status(thm)],[f_2767_3]) ).
cnf(f_2767_9,plain,
( U_7019 = U_7014
| ~ sP1269(U_7023,U_7015,U_7018,U_7016,U_7017,U_7019,U_7020,U_7021,U_7022,U_7014) ),
inference(clausify,[status(thm)],[f_2767_3]) ).
fof(f_2768_1,plain,
! [A,B,C,D,E] :
( ( l4_vectsp_1(g4_vectsp_1(A,B,C,D,E),A)
& v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) )
| ~ m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B)
| ~ v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B)
| ~ v1_funct_1(E)
| ~ m1_subset_1(D,B)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_g4_vectsp_1]) ).
fof(f_2768_2,plain,
! [U_7028,U_7027,U_7026,U_7025,U_7024] :
( ( l4_vectsp_1(g4_vectsp_1(U_7028,U_7027,U_7026,U_7025,U_7024),U_7028)
& v11_vectsp_1(g4_vectsp_1(U_7028,U_7027,U_7026,U_7025,U_7024),U_7028) )
| ~ m1_relset_1(U_7024,k2_zfmisc_1(u1_struct_0(U_7028),U_7027),U_7027)
| ~ v1_funct_2(U_7024,k2_zfmisc_1(u1_struct_0(U_7028),U_7027),U_7027)
| ~ v1_funct_1(U_7024)
| ~ m1_subset_1(U_7025,U_7027)
| ~ m1_relset_1(U_7026,k2_zfmisc_1(U_7027,U_7027),U_7027)
| ~ v1_funct_2(U_7026,k2_zfmisc_1(U_7027,U_7027),U_7027)
| ~ v1_funct_1(U_7026)
| ~ l1_struct_0(U_7028) ),
inference(variable_rename,[status(thm)],[f_2768_1]) ).
fof(f_2768_3,plain,
( ! [U_7027,U_7025,U_7024,U_7028,U_7026] :
( l4_vectsp_1(g4_vectsp_1(U_7028,U_7027,U_7026,U_7025,U_7024),U_7028)
| ~ sP1270(U_7027,U_7025,U_7024,U_7028,U_7026) )
& ! [U_7027,U_7025,U_7024,U_7028,U_7026] :
( v11_vectsp_1(g4_vectsp_1(U_7028,U_7027,U_7026,U_7025,U_7024),U_7028)
| ~ sP1270(U_7027,U_7025,U_7024,U_7028,U_7026) )
& ! [U_7027,U_7025,U_7024,U_7028,U_7026] :
( sP1270(U_7027,U_7025,U_7024,U_7028,U_7026)
| ~ m1_relset_1(U_7024,k2_zfmisc_1(u1_struct_0(U_7028),U_7027),U_7027)
| ~ v1_funct_2(U_7024,k2_zfmisc_1(u1_struct_0(U_7028),U_7027),U_7027)
| ~ v1_funct_1(U_7024)
| ~ m1_subset_1(U_7025,U_7027)
| ~ m1_relset_1(U_7026,k2_zfmisc_1(U_7027,U_7027),U_7027)
| ~ v1_funct_2(U_7026,k2_zfmisc_1(U_7027,U_7027),U_7027)
| ~ v1_funct_1(U_7026)
| ~ l1_struct_0(U_7028) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1270])],[f_2768_2]) ).
cnf(f_2768_4,plain,
( sP1270(U_7027,U_7025,U_7024,U_7028,U_7026)
| ~ m1_relset_1(U_7024,k2_zfmisc_1(u1_struct_0(U_7028),U_7027),U_7027)
| ~ v1_funct_2(U_7024,k2_zfmisc_1(u1_struct_0(U_7028),U_7027),U_7027)
| ~ v1_funct_1(U_7024)
| ~ m1_subset_1(U_7025,U_7027)
| ~ m1_relset_1(U_7026,k2_zfmisc_1(U_7027,U_7027),U_7027)
| ~ v1_funct_2(U_7026,k2_zfmisc_1(U_7027,U_7027),U_7027)
| ~ v1_funct_1(U_7026)
| ~ l1_struct_0(U_7028) ),
inference(clausify,[status(thm)],[f_2768_3]) ).
cnf(f_2768_5,plain,
( v11_vectsp_1(g4_vectsp_1(U_7028,U_7027,U_7026,U_7025,U_7024),U_7028)
| ~ sP1270(U_7027,U_7025,U_7024,U_7028,U_7026) ),
inference(clausify,[status(thm)],[f_2768_3]) ).
cnf(f_2768_6,plain,
( l4_vectsp_1(g4_vectsp_1(U_7028,U_7027,U_7026,U_7025,U_7024),U_7028)
| ~ sP1270(U_7027,U_7025,U_7024,U_7028,U_7026) ),
inference(clausify,[status(thm)],[f_2768_3]) ).
fof(f_2769_1,plain,
! [A,B,C,D,E] :
( ! [F,G,H,I,J] :
( ( E = J
& D = I
& C = H
& B = G
& A = F )
| g4_vectsp_1(A,B,C,D,E) != g4_vectsp_1(F,G,H,I,J) )
| ~ m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B)
| ~ v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B)
| ~ v1_funct_1(E)
| ~ m1_subset_1(D,B)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[free_g4_vectsp_1]) ).
fof(f_2769_2,plain,
! [U_7038,U_7037,U_7036,U_7035,U_7034] :
( ! [U_7033,U_7032,U_7031,U_7030,U_7029] :
( ( U_7034 = U_7029
& U_7035 = U_7030
& U_7036 = U_7031
& U_7037 = U_7032
& U_7038 = U_7033 )
| g4_vectsp_1(U_7038,U_7037,U_7036,U_7035,U_7034) != g4_vectsp_1(U_7033,U_7032,U_7031,U_7030,U_7029) )
| ~ m1_relset_1(U_7034,k2_zfmisc_1(u1_struct_0(U_7038),U_7037),U_7037)
| ~ v1_funct_2(U_7034,k2_zfmisc_1(u1_struct_0(U_7038),U_7037),U_7037)
| ~ v1_funct_1(U_7034)
| ~ m1_subset_1(U_7035,U_7037)
| ~ m1_relset_1(U_7036,k2_zfmisc_1(U_7037,U_7037),U_7037)
| ~ v1_funct_2(U_7036,k2_zfmisc_1(U_7037,U_7037),U_7037)
| ~ v1_funct_1(U_7036)
| ~ l1_struct_0(U_7038) ),
inference(variable_rename,[status(thm)],[f_2769_1]) ).
fof(f_2769_3,plain,
( ! [U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038] :
( U_7034 = U_7029
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) )
& ! [U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038] :
( U_7035 = U_7030
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) )
& ! [U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038] :
( U_7036 = U_7031
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) )
& ! [U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038] :
( U_7037 = U_7032
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) )
& ! [U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038] :
( U_7038 = U_7033
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) )
& ! [U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038] :
( sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038)
| g4_vectsp_1(U_7038,U_7037,U_7036,U_7035,U_7034) != g4_vectsp_1(U_7033,U_7032,U_7031,U_7030,U_7029)
| ~ m1_relset_1(U_7034,k2_zfmisc_1(u1_struct_0(U_7038),U_7037),U_7037)
| ~ v1_funct_2(U_7034,k2_zfmisc_1(u1_struct_0(U_7038),U_7037),U_7037)
| ~ v1_funct_1(U_7034)
| ~ m1_subset_1(U_7035,U_7037)
| ~ m1_relset_1(U_7036,k2_zfmisc_1(U_7037,U_7037),U_7037)
| ~ v1_funct_2(U_7036,k2_zfmisc_1(U_7037,U_7037),U_7037)
| ~ v1_funct_1(U_7036)
| ~ l1_struct_0(U_7038) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1271])],[f_2769_2]) ).
cnf(f_2769_4,plain,
( sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038)
| g4_vectsp_1(U_7038,U_7037,U_7036,U_7035,U_7034) != g4_vectsp_1(U_7033,U_7032,U_7031,U_7030,U_7029)
| ~ m1_relset_1(U_7034,k2_zfmisc_1(u1_struct_0(U_7038),U_7037),U_7037)
| ~ v1_funct_2(U_7034,k2_zfmisc_1(u1_struct_0(U_7038),U_7037),U_7037)
| ~ v1_funct_1(U_7034)
| ~ m1_subset_1(U_7035,U_7037)
| ~ m1_relset_1(U_7036,k2_zfmisc_1(U_7037,U_7037),U_7037)
| ~ v1_funct_2(U_7036,k2_zfmisc_1(U_7037,U_7037),U_7037)
| ~ v1_funct_1(U_7036)
| ~ l1_struct_0(U_7038) ),
inference(clausify,[status(thm)],[f_2769_3]) ).
cnf(f_2769_5,plain,
( U_7038 = U_7033
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) ),
inference(clausify,[status(thm)],[f_2769_3]) ).
cnf(f_2769_6,plain,
( U_7037 = U_7032
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) ),
inference(clausify,[status(thm)],[f_2769_3]) ).
cnf(f_2769_7,plain,
( U_7036 = U_7031
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) ),
inference(clausify,[status(thm)],[f_2769_3]) ).
cnf(f_2769_8,plain,
( U_7035 = U_7030
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) ),
inference(clausify,[status(thm)],[f_2769_3]) ).
cnf(f_2769_9,plain,
( U_7034 = U_7029
| ~ sP1271(U_7029,U_7030,U_7033,U_7034,U_7035,U_7032,U_7031,U_7036,U_7037,U_7038) ),
inference(clausify,[status(thm)],[f_2769_3]) ).
fof(f_2770_1,plain,
! [A] :
( ? [B] :
( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v1_finset_1(B)
& v1_funct_1(B)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_rlvect_2]) ).
fof(f_2770_2,plain,
! [U_7040] :
( ? [U_7039] :
( v5_membered(U_7039)
& v4_membered(U_7039)
& v3_membered(U_7039)
& v2_membered(U_7039)
& v1_membered(U_7039)
& v1_finset_1(U_7039)
& v1_funct_1(U_7039)
& v1_xboole_0(U_7039)
& m1_subset_1(U_7039,k1_zfmisc_1(u1_struct_0(U_7040))) )
| ~ l1_struct_0(U_7040) ),
inference(variable_rename,[status(thm)],[f_2770_1]) ).
fof(f_2770_3,plain,
! [U_7040] :
( ( v5_membered(sK869(U_7040))
& v4_membered(sK869(U_7040))
& v3_membered(sK869(U_7040))
& v2_membered(sK869(U_7040))
& v1_membered(sK869(U_7040))
& v1_finset_1(sK869(U_7040))
& v1_funct_1(sK869(U_7040))
& v1_xboole_0(sK869(U_7040))
& m1_subset_1(sK869(U_7040),k1_zfmisc_1(u1_struct_0(U_7040))) )
| ~ l1_struct_0(U_7040) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK869]),skolemize(U_7039,sK869(U_7040))],[f_2770_2]) ).
fof(f_2770_4,plain,
( ! [U_7040] :
( v5_membered(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v4_membered(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v3_membered(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v2_membered(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v1_membered(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v1_finset_1(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v1_funct_1(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( v1_xboole_0(sK869(U_7040))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( m1_subset_1(sK869(U_7040),k1_zfmisc_1(u1_struct_0(U_7040)))
| ~ sP1272(U_7040) )
& ! [U_7040] :
( sP1272(U_7040)
| ~ l1_struct_0(U_7040) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1272])],[f_2770_3]) ).
cnf(f_2770_5,plain,
( sP1272(U_7040)
| ~ l1_struct_0(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_6,plain,
( m1_subset_1(sK869(U_7040),k1_zfmisc_1(u1_struct_0(U_7040)))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_7,plain,
( v1_xboole_0(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_8,plain,
( v1_funct_1(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_9,plain,
( v1_finset_1(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_10,plain,
( v1_membered(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_11,plain,
( v2_membered(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_12,plain,
( v3_membered(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_13,plain,
( v4_membered(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
cnf(f_2770_14,plain,
( v5_membered(sK869(U_7040))
| ~ sP1272(U_7040) ),
inference(clausify,[status(thm)],[f_2770_4]) ).
fof(f_2771_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_rlvect_2]) ).
fof(f_2771_2,plain,
! [U_7042] :
( ? [U_7041] :
( v1_finset_1(U_7041)
& ~ v1_xboole_0(U_7041)
& m1_subset_1(U_7041,k1_zfmisc_1(u1_struct_0(U_7042))) )
| ~ l1_struct_0(U_7042)
| v3_struct_0(U_7042) ),
inference(variable_rename,[status(thm)],[f_2771_1]) ).
fof(f_2771_3,plain,
! [U_7042] :
( ( v1_finset_1(sK870(U_7042))
& ~ v1_xboole_0(sK870(U_7042))
& m1_subset_1(sK870(U_7042),k1_zfmisc_1(u1_struct_0(U_7042))) )
| ~ l1_struct_0(U_7042)
| v3_struct_0(U_7042) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK870]),skolemize(U_7041,sK870(U_7042))],[f_2771_2]) ).
fof(f_2771_4,plain,
( ! [U_7042] :
( v1_finset_1(sK870(U_7042))
| ~ sP1273(U_7042) )
& ! [U_7042] :
( ~ v1_xboole_0(sK870(U_7042))
| ~ sP1273(U_7042) )
& ! [U_7042] :
( m1_subset_1(sK870(U_7042),k1_zfmisc_1(u1_struct_0(U_7042)))
| ~ sP1273(U_7042) )
& ! [U_7042] :
( sP1273(U_7042)
| ~ l1_struct_0(U_7042)
| v3_struct_0(U_7042) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1273])],[f_2771_3]) ).
cnf(f_2771_5,plain,
( sP1273(U_7042)
| ~ l1_struct_0(U_7042)
| v3_struct_0(U_7042) ),
inference(clausify,[status(thm)],[f_2771_4]) ).
cnf(f_2771_6,plain,
( m1_subset_1(sK870(U_7042),k1_zfmisc_1(u1_struct_0(U_7042)))
| ~ sP1273(U_7042) ),
inference(clausify,[status(thm)],[f_2771_4]) ).
cnf(f_2771_7,plain,
( ~ v1_xboole_0(sK870(U_7042))
| ~ sP1273(U_7042) ),
inference(clausify,[status(thm)],[f_2771_4]) ).
cnf(f_2771_8,plain,
( v1_finset_1(sK870(U_7042))
| ~ sP1273(U_7042) ),
inference(clausify,[status(thm)],[f_2771_4]) ).
fof(f_2772_1,plain,
! [A] :
( ~ v1_xboole_0(k18_rlvect_2(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_rlvect_2]) ).
fof(f_2772_2,plain,
! [U_7043] :
( ~ v1_xboole_0(k18_rlvect_2(U_7043))
| ~ l2_rlvect_1(U_7043)
| ~ v7_rlvect_1(U_7043)
| ~ v6_rlvect_1(U_7043)
| ~ v5_rlvect_1(U_7043)
| ~ v4_rlvect_1(U_7043)
| ~ v3_rlvect_1(U_7043)
| v3_struct_0(U_7043) ),
inference(variable_rename,[status(thm)],[f_2772_1]) ).
fof(f_2772_3,plain,
! [U_7043] :
( ~ v1_xboole_0(k18_rlvect_2(U_7043))
| ~ l2_rlvect_1(U_7043)
| ~ v7_rlvect_1(U_7043)
| ~ v6_rlvect_1(U_7043)
| ~ v5_rlvect_1(U_7043)
| ~ v4_rlvect_1(U_7043)
| ~ v3_rlvect_1(U_7043)
| v3_struct_0(U_7043) ),
inference(definitional_conversion,[status(esa)],[f_2772_2]) ).
cnf(f_2772_4,plain,
( ~ v1_xboole_0(k18_rlvect_2(U_7043))
| ~ l2_rlvect_1(U_7043)
| ~ v7_rlvect_1(U_7043)
| ~ v6_rlvect_1(U_7043)
| ~ v5_rlvect_1(U_7043)
| ~ v4_rlvect_1(U_7043)
| ~ v3_rlvect_1(U_7043)
| v3_struct_0(U_7043) ),
inference(clausify,[status(thm)],[f_2772_3]) ).
fof(f_2773_1,plain,
! [A] :
( ( v7_rlvect_1(k23_rlvect_2(A))
& v6_rlvect_1(k23_rlvect_2(A))
& v5_rlvect_1(k23_rlvect_2(A))
& v4_rlvect_1(k23_rlvect_2(A))
& v3_rlvect_1(k23_rlvect_2(A))
& v2_rlvect_1(k23_rlvect_2(A))
& ~ v3_struct_0(k23_rlvect_2(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_rlvect_2]) ).
fof(f_2773_2,plain,
! [U_7044] :
( ( v7_rlvect_1(k23_rlvect_2(U_7044))
& v6_rlvect_1(k23_rlvect_2(U_7044))
& v5_rlvect_1(k23_rlvect_2(U_7044))
& v4_rlvect_1(k23_rlvect_2(U_7044))
& v3_rlvect_1(k23_rlvect_2(U_7044))
& v2_rlvect_1(k23_rlvect_2(U_7044))
& ~ v3_struct_0(k23_rlvect_2(U_7044)) )
| ~ l2_rlvect_1(U_7044)
| ~ v7_rlvect_1(U_7044)
| ~ v6_rlvect_1(U_7044)
| ~ v5_rlvect_1(U_7044)
| ~ v4_rlvect_1(U_7044)
| ~ v3_rlvect_1(U_7044)
| v3_struct_0(U_7044) ),
inference(variable_rename,[status(thm)],[f_2773_1]) ).
fof(f_2773_3,plain,
( ! [U_7044] :
( v7_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( v6_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( v5_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( v4_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( v3_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( v2_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( ~ v3_struct_0(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) )
& ! [U_7044] :
( sP1274(U_7044)
| ~ l2_rlvect_1(U_7044)
| ~ v7_rlvect_1(U_7044)
| ~ v6_rlvect_1(U_7044)
| ~ v5_rlvect_1(U_7044)
| ~ v4_rlvect_1(U_7044)
| ~ v3_rlvect_1(U_7044)
| v3_struct_0(U_7044) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1274])],[f_2773_2]) ).
cnf(f_2773_4,plain,
( sP1274(U_7044)
| ~ l2_rlvect_1(U_7044)
| ~ v7_rlvect_1(U_7044)
| ~ v6_rlvect_1(U_7044)
| ~ v5_rlvect_1(U_7044)
| ~ v4_rlvect_1(U_7044)
| ~ v3_rlvect_1(U_7044)
| v3_struct_0(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_5,plain,
( ~ v3_struct_0(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_6,plain,
( v2_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_7,plain,
( v3_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_8,plain,
( v4_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_9,plain,
( v5_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_10,plain,
( v6_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
cnf(f_2773_11,plain,
( v7_rlvect_1(k23_rlvect_2(U_7044))
| ~ sP1274(U_7044) ),
inference(clausify,[status(thm)],[f_2773_3]) ).
fof(f_2774_1,plain,
! [A] :
( ! [B] :
( k1_rlvect_2(A,B) = B
| ~ r1_rlvect_1(A,B) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rlvect_2]) ).
fof(f_2774_2,plain,
! [U_7046] :
( ! [U_7045] :
( k1_rlvect_2(U_7046,U_7045) = U_7045
| ~ r1_rlvect_1(U_7046,U_7045) )
| ~ l1_struct_0(U_7046) ),
inference(variable_rename,[status(thm)],[f_2774_1]) ).
fof(f_2774_3,plain,
! [U_7046,U_7045] :
( k1_rlvect_2(U_7046,U_7045) = U_7045
| ~ r1_rlvect_1(U_7046,U_7045)
| ~ l1_struct_0(U_7046) ),
inference(definitional_conversion,[status(esa)],[f_2774_2]) ).
cnf(f_2774_4,plain,
( k1_rlvect_2(U_7046,U_7045) = U_7045
| ~ r1_rlvect_1(U_7046,U_7045)
| ~ l1_struct_0(U_7046) ),
inference(clausify,[status(thm)],[f_2774_3]) ).
fof(f_2775_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_rlvect_2]) ).
fof(f_2775_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2775_1]) ).
cnf(f_2775_3,plain,
$true,
inference(clausify,[status(thm)],[f_2775_2]) ).
fof(f_2776_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_rlvect_2]) ).
fof(f_2776_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2776_1]) ).
cnf(f_2776_3,plain,
$true,
inference(clausify,[status(thm)],[f_2776_2]) ).
fof(f_2777_1,plain,
! [A] :
( ! [B] :
( k1_rlvect_2(A,B) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t3_rlvect_2]) ).
fof(f_2777_2,plain,
! [U_7048] :
( ! [U_7047] :
( k1_rlvect_2(U_7048,U_7047) = U_7047
| ~ m1_subset_1(U_7047,u1_struct_0(U_7048)) )
| ~ l1_struct_0(U_7048)
| v3_struct_0(U_7048) ),
inference(variable_rename,[status(thm)],[f_2777_1]) ).
fof(f_2777_3,plain,
! [U_7047,U_7048] :
( k1_rlvect_2(U_7048,U_7047) = U_7047
| ~ m1_subset_1(U_7047,u1_struct_0(U_7048))
| ~ l1_struct_0(U_7048)
| v3_struct_0(U_7048) ),
inference(definitional_conversion,[status(esa)],[f_2777_2]) ).
cnf(f_2777_4,plain,
( k1_rlvect_2(U_7048,U_7047) = U_7047
| ~ m1_subset_1(U_7047,u1_struct_0(U_7048))
| ~ l1_struct_0(U_7048)
| v3_struct_0(U_7048) ),
inference(clausify,[status(thm)],[f_2777_3]) ).
fof(f_2778_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,D) = k4_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))
| ? [E] :
( k1_funct_1(D,E) != k4_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E))
& r2_hidden(E,k1_relat_1(B))
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k3_finseq_1(B) != k3_finseq_1(D)
| k3_finseq_1(B) != k3_finseq_1(C)
| ~ m2_finseq_1(D,u1_struct_0(A)) )
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t4_rlvect_2]) ).
fof(f_2778_2,plain,
! [U_7053] :
( ! [U_7052] :
( ! [U_7051] :
( ! [U_7050] :
( k9_rlvect_1(U_7053,U_7050) = k4_rlvect_1(U_7053,k9_rlvect_1(U_7053,U_7052),k9_rlvect_1(U_7053,U_7051))
| ? [U_7049] :
( k1_funct_1(U_7050,U_7049) != k4_rlvect_1(U_7053,k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7052,U_7049),k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7051,U_7049))
& r2_hidden(U_7049,k1_relat_1(U_7052))
& m2_subset_1(U_7049,k1_numbers,k5_numbers) )
| k3_finseq_1(U_7052) != k3_finseq_1(U_7050)
| k3_finseq_1(U_7052) != k3_finseq_1(U_7051)
| ~ m2_finseq_1(U_7050,u1_struct_0(U_7053)) )
| ~ m2_finseq_1(U_7051,u1_struct_0(U_7053)) )
| ~ m2_finseq_1(U_7052,u1_struct_0(U_7053)) )
| ~ l1_rlvect_1(U_7053)
| ~ v6_rlvect_1(U_7053)
| ~ v5_rlvect_1(U_7053)
| ~ v4_rlvect_1(U_7053)
| ~ v3_rlvect_1(U_7053)
| v3_struct_0(U_7053) ),
inference(variable_rename,[status(thm)],[f_2778_1]) ).
fof(f_2778_3,plain,
! [U_7053] :
( ! [U_7052] :
( ! [U_7051] :
( ! [U_7050] :
( k9_rlvect_1(U_7053,U_7050) = k4_rlvect_1(U_7053,k9_rlvect_1(U_7053,U_7052),k9_rlvect_1(U_7053,U_7051))
| ( k1_funct_1(U_7050,sK871(U_7053,U_7052,U_7051,U_7050)) != k4_rlvect_1(U_7053,k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7052,sK871(U_7053,U_7052,U_7051,U_7050)),k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7051,sK871(U_7053,U_7052,U_7051,U_7050)))
& r2_hidden(sK871(U_7053,U_7052,U_7051,U_7050),k1_relat_1(U_7052))
& m2_subset_1(sK871(U_7053,U_7052,U_7051,U_7050),k1_numbers,k5_numbers) )
| k3_finseq_1(U_7052) != k3_finseq_1(U_7050)
| k3_finseq_1(U_7052) != k3_finseq_1(U_7051)
| ~ m2_finseq_1(U_7050,u1_struct_0(U_7053)) )
| ~ m2_finseq_1(U_7051,u1_struct_0(U_7053)) )
| ~ m2_finseq_1(U_7052,u1_struct_0(U_7053)) )
| ~ l1_rlvect_1(U_7053)
| ~ v6_rlvect_1(U_7053)
| ~ v5_rlvect_1(U_7053)
| ~ v4_rlvect_1(U_7053)
| ~ v3_rlvect_1(U_7053)
| v3_struct_0(U_7053) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK871]),skolemize(U_7049,sK871(U_7053,U_7052,U_7051,U_7050))],[f_2778_2]) ).
fof(f_2778_4,plain,
( ! [U_7050,U_7051,U_7052,U_7053] :
( k1_funct_1(U_7050,sK871(U_7053,U_7052,U_7051,U_7050)) != k4_rlvect_1(U_7053,k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7052,sK871(U_7053,U_7052,U_7051,U_7050)),k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7051,sK871(U_7053,U_7052,U_7051,U_7050)))
| ~ sP1275(U_7050,U_7051,U_7052,U_7053) )
& ! [U_7050,U_7051,U_7052,U_7053] :
( r2_hidden(sK871(U_7053,U_7052,U_7051,U_7050),k1_relat_1(U_7052))
| ~ sP1275(U_7050,U_7051,U_7052,U_7053) )
& ! [U_7050,U_7051,U_7052,U_7053] :
( m2_subset_1(sK871(U_7053,U_7052,U_7051,U_7050),k1_numbers,k5_numbers)
| ~ sP1275(U_7050,U_7051,U_7052,U_7053) )
& ! [U_7050,U_7051,U_7052,U_7053] :
( k9_rlvect_1(U_7053,U_7050) = k4_rlvect_1(U_7053,k9_rlvect_1(U_7053,U_7052),k9_rlvect_1(U_7053,U_7051))
| sP1275(U_7050,U_7051,U_7052,U_7053)
| k3_finseq_1(U_7052) != k3_finseq_1(U_7050)
| k3_finseq_1(U_7052) != k3_finseq_1(U_7051)
| ~ m2_finseq_1(U_7050,u1_struct_0(U_7053))
| ~ m2_finseq_1(U_7051,u1_struct_0(U_7053))
| ~ m2_finseq_1(U_7052,u1_struct_0(U_7053))
| ~ l1_rlvect_1(U_7053)
| ~ v6_rlvect_1(U_7053)
| ~ v5_rlvect_1(U_7053)
| ~ v4_rlvect_1(U_7053)
| ~ v3_rlvect_1(U_7053)
| v3_struct_0(U_7053) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1275])],[f_2778_3]) ).
cnf(f_2778_5,plain,
( k9_rlvect_1(U_7053,U_7050) = k4_rlvect_1(U_7053,k9_rlvect_1(U_7053,U_7052),k9_rlvect_1(U_7053,U_7051))
| sP1275(U_7050,U_7051,U_7052,U_7053)
| k3_finseq_1(U_7052) != k3_finseq_1(U_7050)
| k3_finseq_1(U_7052) != k3_finseq_1(U_7051)
| ~ m2_finseq_1(U_7050,u1_struct_0(U_7053))
| ~ m2_finseq_1(U_7051,u1_struct_0(U_7053))
| ~ m2_finseq_1(U_7052,u1_struct_0(U_7053))
| ~ l1_rlvect_1(U_7053)
| ~ v6_rlvect_1(U_7053)
| ~ v5_rlvect_1(U_7053)
| ~ v4_rlvect_1(U_7053)
| ~ v3_rlvect_1(U_7053)
| v3_struct_0(U_7053) ),
inference(clausify,[status(thm)],[f_2778_4]) ).
cnf(f_2778_6,plain,
( m2_subset_1(sK871(U_7053,U_7052,U_7051,U_7050),k1_numbers,k5_numbers)
| ~ sP1275(U_7050,U_7051,U_7052,U_7053) ),
inference(clausify,[status(thm)],[f_2778_4]) ).
cnf(f_2778_7,plain,
( r2_hidden(sK871(U_7053,U_7052,U_7051,U_7050),k1_relat_1(U_7052))
| ~ sP1275(U_7050,U_7051,U_7052,U_7053) ),
inference(clausify,[status(thm)],[f_2778_4]) ).
cnf(f_2778_8,plain,
( k1_funct_1(U_7050,sK871(U_7053,U_7052,U_7051,U_7050)) != k4_rlvect_1(U_7053,k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7052,sK871(U_7053,U_7052,U_7051,U_7050)),k4_finseq_4(k5_numbers,u1_struct_0(U_7053),U_7051,sK871(U_7053,U_7052,U_7051,U_7050)))
| ~ sP1275(U_7050,U_7051,U_7052,U_7053) ),
inference(clausify,[status(thm)],[f_2778_4]) ).
fof(f_2779_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,D) = k3_rlvect_1(A,k9_rlvect_1(A,C),B)
| ? [E] :
( k1_funct_1(D,E) != k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),B)
& r2_hidden(E,k1_relat_1(C))
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k3_finseq_1(C) != k3_finseq_1(D)
| ~ m2_finseq_1(D,u1_struct_0(A)) )
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rlvect_2]) ).
fof(f_2779_2,plain,
! [U_7058] :
( ! [U_7057] :
( ! [U_7056] :
( ! [U_7055] :
( k9_rlvect_1(U_7058,U_7055) = k3_rlvect_1(U_7058,k9_rlvect_1(U_7058,U_7056),U_7057)
| ? [U_7054] :
( k1_funct_1(U_7055,U_7054) != k3_rlvect_1(U_7058,k4_finseq_4(k5_numbers,u1_struct_0(U_7058),U_7056,U_7054),U_7057)
& r2_hidden(U_7054,k1_relat_1(U_7056))
& m2_subset_1(U_7054,k1_numbers,k5_numbers) )
| k3_finseq_1(U_7056) != k3_finseq_1(U_7055)
| ~ m2_finseq_1(U_7055,u1_struct_0(U_7058)) )
| ~ m2_finseq_1(U_7056,u1_struct_0(U_7058)) )
| ~ m1_subset_1(U_7057,k1_numbers) )
| ~ l2_rlvect_1(U_7058)
| ~ v7_rlvect_1(U_7058)
| ~ v6_rlvect_1(U_7058)
| ~ v5_rlvect_1(U_7058)
| ~ v4_rlvect_1(U_7058)
| ~ v3_rlvect_1(U_7058)
| v3_struct_0(U_7058) ),
inference(variable_rename,[status(thm)],[f_2779_1]) ).
fof(f_2779_3,plain,
! [U_7058] :
( ! [U_7057] :
( ! [U_7056] :
( ! [U_7055] :
( k9_rlvect_1(U_7058,U_7055) = k3_rlvect_1(U_7058,k9_rlvect_1(U_7058,U_7056),U_7057)
| ( k1_funct_1(U_7055,sK872(U_7058,U_7057,U_7056,U_7055)) != k3_rlvect_1(U_7058,k4_finseq_4(k5_numbers,u1_struct_0(U_7058),U_7056,sK872(U_7058,U_7057,U_7056,U_7055)),U_7057)
& r2_hidden(sK872(U_7058,U_7057,U_7056,U_7055),k1_relat_1(U_7056))
& m2_subset_1(sK872(U_7058,U_7057,U_7056,U_7055),k1_numbers,k5_numbers) )
| k3_finseq_1(U_7056) != k3_finseq_1(U_7055)
| ~ m2_finseq_1(U_7055,u1_struct_0(U_7058)) )
| ~ m2_finseq_1(U_7056,u1_struct_0(U_7058)) )
| ~ m1_subset_1(U_7057,k1_numbers) )
| ~ l2_rlvect_1(U_7058)
| ~ v7_rlvect_1(U_7058)
| ~ v6_rlvect_1(U_7058)
| ~ v5_rlvect_1(U_7058)
| ~ v4_rlvect_1(U_7058)
| ~ v3_rlvect_1(U_7058)
| v3_struct_0(U_7058) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK872]),skolemize(U_7054,sK872(U_7058,U_7057,U_7056,U_7055))],[f_2779_2]) ).
fof(f_2779_4,plain,
( ! [U_7055,U_7058,U_7056,U_7057] :
( k1_funct_1(U_7055,sK872(U_7058,U_7057,U_7056,U_7055)) != k3_rlvect_1(U_7058,k4_finseq_4(k5_numbers,u1_struct_0(U_7058),U_7056,sK872(U_7058,U_7057,U_7056,U_7055)),U_7057)
| ~ sP1276(U_7055,U_7058,U_7056,U_7057) )
& ! [U_7055,U_7058,U_7056,U_7057] :
( r2_hidden(sK872(U_7058,U_7057,U_7056,U_7055),k1_relat_1(U_7056))
| ~ sP1276(U_7055,U_7058,U_7056,U_7057) )
& ! [U_7055,U_7058,U_7056,U_7057] :
( m2_subset_1(sK872(U_7058,U_7057,U_7056,U_7055),k1_numbers,k5_numbers)
| ~ sP1276(U_7055,U_7058,U_7056,U_7057) )
& ! [U_7055,U_7058,U_7056,U_7057] :
( k9_rlvect_1(U_7058,U_7055) = k3_rlvect_1(U_7058,k9_rlvect_1(U_7058,U_7056),U_7057)
| sP1276(U_7055,U_7058,U_7056,U_7057)
| k3_finseq_1(U_7056) != k3_finseq_1(U_7055)
| ~ m2_finseq_1(U_7055,u1_struct_0(U_7058))
| ~ m2_finseq_1(U_7056,u1_struct_0(U_7058))
| ~ m1_subset_1(U_7057,k1_numbers)
| ~ l2_rlvect_1(U_7058)
| ~ v7_rlvect_1(U_7058)
| ~ v6_rlvect_1(U_7058)
| ~ v5_rlvect_1(U_7058)
| ~ v4_rlvect_1(U_7058)
| ~ v3_rlvect_1(U_7058)
| v3_struct_0(U_7058) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1276])],[f_2779_3]) ).
cnf(f_2779_5,plain,
( k9_rlvect_1(U_7058,U_7055) = k3_rlvect_1(U_7058,k9_rlvect_1(U_7058,U_7056),U_7057)
| sP1276(U_7055,U_7058,U_7056,U_7057)
| k3_finseq_1(U_7056) != k3_finseq_1(U_7055)
| ~ m2_finseq_1(U_7055,u1_struct_0(U_7058))
| ~ m2_finseq_1(U_7056,u1_struct_0(U_7058))
| ~ m1_subset_1(U_7057,k1_numbers)
| ~ l2_rlvect_1(U_7058)
| ~ v7_rlvect_1(U_7058)
| ~ v6_rlvect_1(U_7058)
| ~ v5_rlvect_1(U_7058)
| ~ v4_rlvect_1(U_7058)
| ~ v3_rlvect_1(U_7058)
| v3_struct_0(U_7058) ),
inference(clausify,[status(thm)],[f_2779_4]) ).
cnf(f_2779_6,plain,
( m2_subset_1(sK872(U_7058,U_7057,U_7056,U_7055),k1_numbers,k5_numbers)
| ~ sP1276(U_7055,U_7058,U_7056,U_7057) ),
inference(clausify,[status(thm)],[f_2779_4]) ).
cnf(f_2779_7,plain,
( r2_hidden(sK872(U_7058,U_7057,U_7056,U_7055),k1_relat_1(U_7056))
| ~ sP1276(U_7055,U_7058,U_7056,U_7057) ),
inference(clausify,[status(thm)],[f_2779_4]) ).
cnf(f_2779_8,plain,
( k1_funct_1(U_7055,sK872(U_7058,U_7057,U_7056,U_7055)) != k3_rlvect_1(U_7058,k4_finseq_4(k5_numbers,u1_struct_0(U_7058),U_7056,sK872(U_7058,U_7057,U_7056,U_7055)),U_7057)
| ~ sP1276(U_7055,U_7058,U_7056,U_7057) ),
inference(clausify,[status(thm)],[f_2779_4]) ).
fof(f_2780_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k9_rlvect_1(A,C) = k5_rlvect_1(A,k9_rlvect_1(A,B))
| ? [D] :
( k1_funct_1(C,D) != k5_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D))
& r2_hidden(D,k1_relat_1(B))
& m2_subset_1(D,k1_numbers,k5_numbers) )
| k3_finseq_1(B) != k3_finseq_1(C)
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_rlvect_2]) ).
fof(f_2780_2,plain,
! [U_7062] :
( ! [U_7061] :
( ! [U_7060] :
( k9_rlvect_1(U_7062,U_7060) = k5_rlvect_1(U_7062,k9_rlvect_1(U_7062,U_7061))
| ? [U_7059] :
( k1_funct_1(U_7060,U_7059) != k5_rlvect_1(U_7062,k4_finseq_4(k5_numbers,u1_struct_0(U_7062),U_7061,U_7059))
& r2_hidden(U_7059,k1_relat_1(U_7061))
& m2_subset_1(U_7059,k1_numbers,k5_numbers) )
| k3_finseq_1(U_7061) != k3_finseq_1(U_7060)
| ~ m2_finseq_1(U_7060,u1_struct_0(U_7062)) )
| ~ m2_finseq_1(U_7061,u1_struct_0(U_7062)) )
| ~ l1_rlvect_1(U_7062)
| ~ v6_rlvect_1(U_7062)
| ~ v5_rlvect_1(U_7062)
| ~ v4_rlvect_1(U_7062)
| ~ v3_rlvect_1(U_7062)
| v3_struct_0(U_7062) ),
inference(variable_rename,[status(thm)],[f_2780_1]) ).
fof(f_2780_3,plain,
! [U_7062] :
( ! [U_7061] :
( ! [U_7060] :
( k9_rlvect_1(U_7062,U_7060) = k5_rlvect_1(U_7062,k9_rlvect_1(U_7062,U_7061))
| ( k1_funct_1(U_7060,sK873(U_7062,U_7061,U_7060)) != k5_rlvect_1(U_7062,k4_finseq_4(k5_numbers,u1_struct_0(U_7062),U_7061,sK873(U_7062,U_7061,U_7060)))
& r2_hidden(sK873(U_7062,U_7061,U_7060),k1_relat_1(U_7061))
& m2_subset_1(sK873(U_7062,U_7061,U_7060),k1_numbers,k5_numbers) )
| k3_finseq_1(U_7061) != k3_finseq_1(U_7060)
| ~ m2_finseq_1(U_7060,u1_struct_0(U_7062)) )
| ~ m2_finseq_1(U_7061,u1_struct_0(U_7062)) )
| ~ l1_rlvect_1(U_7062)
| ~ v6_rlvect_1(U_7062)
| ~ v5_rlvect_1(U_7062)
| ~ v4_rlvect_1(U_7062)
| ~ v3_rlvect_1(U_7062)
| v3_struct_0(U_7062) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK873]),skolemize(U_7059,sK873(U_7062,U_7061,U_7060))],[f_2780_2]) ).
fof(f_2780_4,plain,
( ! [U_7061,U_7060,U_7062] :
( k1_funct_1(U_7060,sK873(U_7062,U_7061,U_7060)) != k5_rlvect_1(U_7062,k4_finseq_4(k5_numbers,u1_struct_0(U_7062),U_7061,sK873(U_7062,U_7061,U_7060)))
| ~ sP1277(U_7061,U_7060,U_7062) )
& ! [U_7061,U_7060,U_7062] :
( r2_hidden(sK873(U_7062,U_7061,U_7060),k1_relat_1(U_7061))
| ~ sP1277(U_7061,U_7060,U_7062) )
& ! [U_7061,U_7060,U_7062] :
( m2_subset_1(sK873(U_7062,U_7061,U_7060),k1_numbers,k5_numbers)
| ~ sP1277(U_7061,U_7060,U_7062) )
& ! [U_7061,U_7060,U_7062] :
( k9_rlvect_1(U_7062,U_7060) = k5_rlvect_1(U_7062,k9_rlvect_1(U_7062,U_7061))
| sP1277(U_7061,U_7060,U_7062)
| k3_finseq_1(U_7061) != k3_finseq_1(U_7060)
| ~ m2_finseq_1(U_7060,u1_struct_0(U_7062))
| ~ m2_finseq_1(U_7061,u1_struct_0(U_7062))
| ~ l1_rlvect_1(U_7062)
| ~ v6_rlvect_1(U_7062)
| ~ v5_rlvect_1(U_7062)
| ~ v4_rlvect_1(U_7062)
| ~ v3_rlvect_1(U_7062)
| v3_struct_0(U_7062) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1277])],[f_2780_3]) ).
cnf(f_2780_5,plain,
( k9_rlvect_1(U_7062,U_7060) = k5_rlvect_1(U_7062,k9_rlvect_1(U_7062,U_7061))
| sP1277(U_7061,U_7060,U_7062)
| k3_finseq_1(U_7061) != k3_finseq_1(U_7060)
| ~ m2_finseq_1(U_7060,u1_struct_0(U_7062))
| ~ m2_finseq_1(U_7061,u1_struct_0(U_7062))
| ~ l1_rlvect_1(U_7062)
| ~ v6_rlvect_1(U_7062)
| ~ v5_rlvect_1(U_7062)
| ~ v4_rlvect_1(U_7062)
| ~ v3_rlvect_1(U_7062)
| v3_struct_0(U_7062) ),
inference(clausify,[status(thm)],[f_2780_4]) ).
cnf(f_2780_6,plain,
( m2_subset_1(sK873(U_7062,U_7061,U_7060),k1_numbers,k5_numbers)
| ~ sP1277(U_7061,U_7060,U_7062) ),
inference(clausify,[status(thm)],[f_2780_4]) ).
cnf(f_2780_7,plain,
( r2_hidden(sK873(U_7062,U_7061,U_7060),k1_relat_1(U_7061))
| ~ sP1277(U_7061,U_7060,U_7062) ),
inference(clausify,[status(thm)],[f_2780_4]) ).
cnf(f_2780_8,plain,
( k1_funct_1(U_7060,sK873(U_7062,U_7061,U_7060)) != k5_rlvect_1(U_7062,k4_finseq_4(k5_numbers,u1_struct_0(U_7062),U_7061,sK873(U_7062,U_7061,U_7060)))
| ~ sP1277(U_7061,U_7060,U_7062) ),
inference(clausify,[status(thm)],[f_2780_4]) ).
fof(f_2781_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,D) = k6_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))
| ? [E] :
( k1_funct_1(D,E) != k6_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E))
& r2_hidden(E,k1_relat_1(B))
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k3_finseq_1(B) != k3_finseq_1(D)
| k3_finseq_1(B) != k3_finseq_1(C)
| ~ m2_finseq_1(D,u1_struct_0(A)) )
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_rlvect_2]) ).
fof(f_2781_2,plain,
! [U_7067] :
( ! [U_7066] :
( ! [U_7065] :
( ! [U_7064] :
( k9_rlvect_1(U_7067,U_7064) = k6_rlvect_1(U_7067,k9_rlvect_1(U_7067,U_7066),k9_rlvect_1(U_7067,U_7065))
| ? [U_7063] :
( k1_funct_1(U_7064,U_7063) != k6_rlvect_1(U_7067,k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7066,U_7063),k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7065,U_7063))
& r2_hidden(U_7063,k1_relat_1(U_7066))
& m2_subset_1(U_7063,k1_numbers,k5_numbers) )
| k3_finseq_1(U_7066) != k3_finseq_1(U_7064)
| k3_finseq_1(U_7066) != k3_finseq_1(U_7065)
| ~ m2_finseq_1(U_7064,u1_struct_0(U_7067)) )
| ~ m2_finseq_1(U_7065,u1_struct_0(U_7067)) )
| ~ m2_finseq_1(U_7066,u1_struct_0(U_7067)) )
| ~ l1_rlvect_1(U_7067)
| ~ v6_rlvect_1(U_7067)
| ~ v5_rlvect_1(U_7067)
| ~ v4_rlvect_1(U_7067)
| ~ v3_rlvect_1(U_7067)
| v3_struct_0(U_7067) ),
inference(variable_rename,[status(thm)],[f_2781_1]) ).
fof(f_2781_3,plain,
! [U_7067] :
( ! [U_7066] :
( ! [U_7065] :
( ! [U_7064] :
( k9_rlvect_1(U_7067,U_7064) = k6_rlvect_1(U_7067,k9_rlvect_1(U_7067,U_7066),k9_rlvect_1(U_7067,U_7065))
| ( k1_funct_1(U_7064,sK874(U_7067,U_7066,U_7065,U_7064)) != k6_rlvect_1(U_7067,k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7066,sK874(U_7067,U_7066,U_7065,U_7064)),k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7065,sK874(U_7067,U_7066,U_7065,U_7064)))
& r2_hidden(sK874(U_7067,U_7066,U_7065,U_7064),k1_relat_1(U_7066))
& m2_subset_1(sK874(U_7067,U_7066,U_7065,U_7064),k1_numbers,k5_numbers) )
| k3_finseq_1(U_7066) != k3_finseq_1(U_7064)
| k3_finseq_1(U_7066) != k3_finseq_1(U_7065)
| ~ m2_finseq_1(U_7064,u1_struct_0(U_7067)) )
| ~ m2_finseq_1(U_7065,u1_struct_0(U_7067)) )
| ~ m2_finseq_1(U_7066,u1_struct_0(U_7067)) )
| ~ l1_rlvect_1(U_7067)
| ~ v6_rlvect_1(U_7067)
| ~ v5_rlvect_1(U_7067)
| ~ v4_rlvect_1(U_7067)
| ~ v3_rlvect_1(U_7067)
| v3_struct_0(U_7067) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK874]),skolemize(U_7063,sK874(U_7067,U_7066,U_7065,U_7064))],[f_2781_2]) ).
fof(f_2781_4,plain,
( ! [U_7065,U_7066,U_7064,U_7067] :
( k1_funct_1(U_7064,sK874(U_7067,U_7066,U_7065,U_7064)) != k6_rlvect_1(U_7067,k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7066,sK874(U_7067,U_7066,U_7065,U_7064)),k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7065,sK874(U_7067,U_7066,U_7065,U_7064)))
| ~ sP1278(U_7065,U_7066,U_7064,U_7067) )
& ! [U_7065,U_7066,U_7064,U_7067] :
( r2_hidden(sK874(U_7067,U_7066,U_7065,U_7064),k1_relat_1(U_7066))
| ~ sP1278(U_7065,U_7066,U_7064,U_7067) )
& ! [U_7065,U_7066,U_7064,U_7067] :
( m2_subset_1(sK874(U_7067,U_7066,U_7065,U_7064),k1_numbers,k5_numbers)
| ~ sP1278(U_7065,U_7066,U_7064,U_7067) )
& ! [U_7065,U_7066,U_7064,U_7067] :
( k9_rlvect_1(U_7067,U_7064) = k6_rlvect_1(U_7067,k9_rlvect_1(U_7067,U_7066),k9_rlvect_1(U_7067,U_7065))
| sP1278(U_7065,U_7066,U_7064,U_7067)
| k3_finseq_1(U_7066) != k3_finseq_1(U_7064)
| k3_finseq_1(U_7066) != k3_finseq_1(U_7065)
| ~ m2_finseq_1(U_7064,u1_struct_0(U_7067))
| ~ m2_finseq_1(U_7065,u1_struct_0(U_7067))
| ~ m2_finseq_1(U_7066,u1_struct_0(U_7067))
| ~ l1_rlvect_1(U_7067)
| ~ v6_rlvect_1(U_7067)
| ~ v5_rlvect_1(U_7067)
| ~ v4_rlvect_1(U_7067)
| ~ v3_rlvect_1(U_7067)
| v3_struct_0(U_7067) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1278])],[f_2781_3]) ).
cnf(f_2781_5,plain,
( k9_rlvect_1(U_7067,U_7064) = k6_rlvect_1(U_7067,k9_rlvect_1(U_7067,U_7066),k9_rlvect_1(U_7067,U_7065))
| sP1278(U_7065,U_7066,U_7064,U_7067)
| k3_finseq_1(U_7066) != k3_finseq_1(U_7064)
| k3_finseq_1(U_7066) != k3_finseq_1(U_7065)
| ~ m2_finseq_1(U_7064,u1_struct_0(U_7067))
| ~ m2_finseq_1(U_7065,u1_struct_0(U_7067))
| ~ m2_finseq_1(U_7066,u1_struct_0(U_7067))
| ~ l1_rlvect_1(U_7067)
| ~ v6_rlvect_1(U_7067)
| ~ v5_rlvect_1(U_7067)
| ~ v4_rlvect_1(U_7067)
| ~ v3_rlvect_1(U_7067)
| v3_struct_0(U_7067) ),
inference(clausify,[status(thm)],[f_2781_4]) ).
cnf(f_2781_6,plain,
( m2_subset_1(sK874(U_7067,U_7066,U_7065,U_7064),k1_numbers,k5_numbers)
| ~ sP1278(U_7065,U_7066,U_7064,U_7067) ),
inference(clausify,[status(thm)],[f_2781_4]) ).
cnf(f_2781_7,plain,
( r2_hidden(sK874(U_7067,U_7066,U_7065,U_7064),k1_relat_1(U_7066))
| ~ sP1278(U_7065,U_7066,U_7064,U_7067) ),
inference(clausify,[status(thm)],[f_2781_4]) ).
cnf(f_2781_8,plain,
( k1_funct_1(U_7064,sK874(U_7067,U_7066,U_7065,U_7064)) != k6_rlvect_1(U_7067,k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7066,sK874(U_7067,U_7066,U_7065,U_7064)),k4_finseq_4(k5_numbers,u1_struct_0(U_7067),U_7065,sK874(U_7067,U_7066,U_7065,U_7064)))
| ~ sP1278(U_7065,U_7066,U_7064,U_7067) ),
inference(clausify,[status(thm)],[f_2781_4]) ).
fof(f_2782_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,B) = k9_rlvect_1(A,C)
| ? [E] :
( k1_funct_1(C,E) != k1_funct_1(B,k1_funct_1(D,E))
& r2_hidden(E,k1_relat_1(C))
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k3_finseq_1(B) != k3_finseq_1(C)
| ~ m2_relset_1(D,k1_relat_1(B),k1_relat_1(B))
| ~ v3_funct_2(D,k1_relat_1(B),k1_relat_1(B))
| ~ v1_funct_2(D,k1_relat_1(B),k1_relat_1(B))
| ~ v1_funct_1(D) )
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t8_rlvect_2]) ).
fof(f_2782_2,plain,
! [U_7072] :
( ! [U_7071] :
( ! [U_7070] :
( ! [U_7069] :
( k9_rlvect_1(U_7072,U_7071) = k9_rlvect_1(U_7072,U_7070)
| ? [U_7068] :
( k1_funct_1(U_7070,U_7068) != k1_funct_1(U_7071,k1_funct_1(U_7069,U_7068))
& r2_hidden(U_7068,k1_relat_1(U_7070))
& m2_subset_1(U_7068,k1_numbers,k5_numbers) )
| k3_finseq_1(U_7071) != k3_finseq_1(U_7070)
| ~ m2_relset_1(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v3_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_1(U_7069) )
| ~ m2_finseq_1(U_7070,u1_struct_0(U_7072)) )
| ~ m2_finseq_1(U_7071,u1_struct_0(U_7072)) )
| ~ l1_rlvect_1(U_7072)
| ~ v6_rlvect_1(U_7072)
| ~ v5_rlvect_1(U_7072)
| ~ v4_rlvect_1(U_7072)
| ~ v3_rlvect_1(U_7072)
| v3_struct_0(U_7072) ),
inference(variable_rename,[status(thm)],[f_2782_1]) ).
fof(f_2782_3,plain,
! [U_7072] :
( ! [U_7071] :
( ! [U_7070] :
( ! [U_7069] :
( k9_rlvect_1(U_7072,U_7071) = k9_rlvect_1(U_7072,U_7070)
| ( k1_funct_1(U_7070,sK875(U_7072,U_7071,U_7070,U_7069)) != k1_funct_1(U_7071,k1_funct_1(U_7069,sK875(U_7072,U_7071,U_7070,U_7069)))
& r2_hidden(sK875(U_7072,U_7071,U_7070,U_7069),k1_relat_1(U_7070))
& m2_subset_1(sK875(U_7072,U_7071,U_7070,U_7069),k1_numbers,k5_numbers) )
| k3_finseq_1(U_7071) != k3_finseq_1(U_7070)
| ~ m2_relset_1(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v3_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_1(U_7069) )
| ~ m2_finseq_1(U_7070,u1_struct_0(U_7072)) )
| ~ m2_finseq_1(U_7071,u1_struct_0(U_7072)) )
| ~ l1_rlvect_1(U_7072)
| ~ v6_rlvect_1(U_7072)
| ~ v5_rlvect_1(U_7072)
| ~ v4_rlvect_1(U_7072)
| ~ v3_rlvect_1(U_7072)
| v3_struct_0(U_7072) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK875]),skolemize(U_7068,sK875(U_7072,U_7071,U_7070,U_7069))],[f_2782_2]) ).
fof(f_2782_4,plain,
( ! [U_7070,U_7069,U_7071,U_7072] :
( k1_funct_1(U_7070,sK875(U_7072,U_7071,U_7070,U_7069)) != k1_funct_1(U_7071,k1_funct_1(U_7069,sK875(U_7072,U_7071,U_7070,U_7069)))
| ~ sP1279(U_7070,U_7069,U_7071,U_7072) )
& ! [U_7070,U_7069,U_7071,U_7072] :
( r2_hidden(sK875(U_7072,U_7071,U_7070,U_7069),k1_relat_1(U_7070))
| ~ sP1279(U_7070,U_7069,U_7071,U_7072) )
& ! [U_7070,U_7069,U_7071,U_7072] :
( m2_subset_1(sK875(U_7072,U_7071,U_7070,U_7069),k1_numbers,k5_numbers)
| ~ sP1279(U_7070,U_7069,U_7071,U_7072) )
& ! [U_7070,U_7069,U_7071,U_7072] :
( k9_rlvect_1(U_7072,U_7071) = k9_rlvect_1(U_7072,U_7070)
| sP1279(U_7070,U_7069,U_7071,U_7072)
| k3_finseq_1(U_7071) != k3_finseq_1(U_7070)
| ~ m2_relset_1(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v3_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_1(U_7069)
| ~ m2_finseq_1(U_7070,u1_struct_0(U_7072))
| ~ m2_finseq_1(U_7071,u1_struct_0(U_7072))
| ~ l1_rlvect_1(U_7072)
| ~ v6_rlvect_1(U_7072)
| ~ v5_rlvect_1(U_7072)
| ~ v4_rlvect_1(U_7072)
| ~ v3_rlvect_1(U_7072)
| v3_struct_0(U_7072) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1279])],[f_2782_3]) ).
cnf(f_2782_5,plain,
( k9_rlvect_1(U_7072,U_7071) = k9_rlvect_1(U_7072,U_7070)
| sP1279(U_7070,U_7069,U_7071,U_7072)
| k3_finseq_1(U_7071) != k3_finseq_1(U_7070)
| ~ m2_relset_1(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v3_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_2(U_7069,k1_relat_1(U_7071),k1_relat_1(U_7071))
| ~ v1_funct_1(U_7069)
| ~ m2_finseq_1(U_7070,u1_struct_0(U_7072))
| ~ m2_finseq_1(U_7071,u1_struct_0(U_7072))
| ~ l1_rlvect_1(U_7072)
| ~ v6_rlvect_1(U_7072)
| ~ v5_rlvect_1(U_7072)
| ~ v4_rlvect_1(U_7072)
| ~ v3_rlvect_1(U_7072)
| v3_struct_0(U_7072) ),
inference(clausify,[status(thm)],[f_2782_4]) ).
cnf(f_2782_6,plain,
( m2_subset_1(sK875(U_7072,U_7071,U_7070,U_7069),k1_numbers,k5_numbers)
| ~ sP1279(U_7070,U_7069,U_7071,U_7072) ),
inference(clausify,[status(thm)],[f_2782_4]) ).
cnf(f_2782_7,plain,
( r2_hidden(sK875(U_7072,U_7071,U_7070,U_7069),k1_relat_1(U_7070))
| ~ sP1279(U_7070,U_7069,U_7071,U_7072) ),
inference(clausify,[status(thm)],[f_2782_4]) ).
cnf(f_2782_8,plain,
( k1_funct_1(U_7070,sK875(U_7072,U_7071,U_7070,U_7069)) != k1_funct_1(U_7071,k1_funct_1(U_7069,sK875(U_7072,U_7071,U_7070,U_7069)))
| ~ sP1279(U_7070,U_7069,U_7071,U_7072) ),
inference(clausify,[status(thm)],[f_2782_4]) ).
fof(f_2783_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rlvect_1(A,B) = k9_rlvect_1(A,C)
| C != k5_relat_1(D,B)
| ~ m2_relset_1(D,k1_relat_1(B),k1_relat_1(B))
| ~ v3_funct_2(D,k1_relat_1(B),k1_relat_1(B))
| ~ v1_funct_2(D,k1_relat_1(B),k1_relat_1(B))
| ~ v1_funct_1(D) )
| ~ m2_finseq_1(C,u1_struct_0(A)) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t9_rlvect_2]) ).
fof(f_2783_2,plain,
! [U_7076] :
( ! [U_7075] :
( ! [U_7074] :
( ! [U_7073] :
( k9_rlvect_1(U_7076,U_7075) = k9_rlvect_1(U_7076,U_7074)
| U_7074 != k5_relat_1(U_7073,U_7075)
| ~ m2_relset_1(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v3_funct_2(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v1_funct_2(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v1_funct_1(U_7073) )
| ~ m2_finseq_1(U_7074,u1_struct_0(U_7076)) )
| ~ m2_finseq_1(U_7075,u1_struct_0(U_7076)) )
| ~ l1_rlvect_1(U_7076)
| ~ v6_rlvect_1(U_7076)
| ~ v5_rlvect_1(U_7076)
| ~ v4_rlvect_1(U_7076)
| ~ v3_rlvect_1(U_7076)
| v3_struct_0(U_7076) ),
inference(variable_rename,[status(thm)],[f_2783_1]) ).
fof(f_2783_3,plain,
! [U_7073,U_7075,U_7074,U_7076] :
( k9_rlvect_1(U_7076,U_7075) = k9_rlvect_1(U_7076,U_7074)
| U_7074 != k5_relat_1(U_7073,U_7075)
| ~ m2_relset_1(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v3_funct_2(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v1_funct_2(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v1_funct_1(U_7073)
| ~ m2_finseq_1(U_7074,u1_struct_0(U_7076))
| ~ m2_finseq_1(U_7075,u1_struct_0(U_7076))
| ~ l1_rlvect_1(U_7076)
| ~ v6_rlvect_1(U_7076)
| ~ v5_rlvect_1(U_7076)
| ~ v4_rlvect_1(U_7076)
| ~ v3_rlvect_1(U_7076)
| v3_struct_0(U_7076) ),
inference(definitional_conversion,[status(esa)],[f_2783_2]) ).
cnf(f_2783_4,plain,
( k9_rlvect_1(U_7076,U_7075) = k9_rlvect_1(U_7076,U_7074)
| U_7074 != k5_relat_1(U_7073,U_7075)
| ~ m2_relset_1(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v3_funct_2(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v1_funct_2(U_7073,k1_relat_1(U_7075),k1_relat_1(U_7075))
| ~ v1_funct_1(U_7073)
| ~ m2_finseq_1(U_7074,u1_struct_0(U_7076))
| ~ m2_finseq_1(U_7075,u1_struct_0(U_7076))
| ~ l1_rlvect_1(U_7076)
| ~ v6_rlvect_1(U_7076)
| ~ v5_rlvect_1(U_7076)
| ~ v4_rlvect_1(U_7076)
| ~ v3_rlvect_1(U_7076)
| v3_struct_0(U_7076) ),
inference(clausify,[status(thm)],[f_2783_3]) ).
fof(f_2784_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d2_rlvect_2]) ).
fof(f_2784_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2784_1]) ).
cnf(f_2784_3,plain,
$true,
inference(clausify,[status(thm)],[f_2784_2]) ).
fof(f_2785_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d3_rlvect_2]) ).
fof(f_2785_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2785_1]) ).
cnf(f_2785_3,plain,
$true,
inference(clausify,[status(thm)],[f_2785_2]) ).
fof(f_2786_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k6_rlvect_2(A,B)
| ! [D] :
( C != k9_rlvect_1(A,D)
| ~ v2_funct_1(D)
| k2_relat_1(D) != B
| ~ m2_finseq_1(D,u1_struct_0(A)) ) )
& ( ? [D] :
( C = k9_rlvect_1(A,D)
& v2_funct_1(D)
& k2_relat_1(D) = B
& m2_finseq_1(D,u1_struct_0(A)) )
| C != k6_rlvect_2(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_rlvect_2]) ).
fof(f_2786_2,plain,
! [U_7081] :
( ! [U_7080] :
( ! [U_7079] :
( ( ( U_7079 = k6_rlvect_2(U_7081,U_7080)
| ! [U_7078] :
( U_7079 != k9_rlvect_1(U_7081,U_7078)
| ~ v2_funct_1(U_7078)
| k2_relat_1(U_7078) != U_7080
| ~ m2_finseq_1(U_7078,u1_struct_0(U_7081)) ) )
& ( ? [U_7077] :
( U_7079 = k9_rlvect_1(U_7081,U_7077)
& v2_funct_1(U_7077)
& k2_relat_1(U_7077) = U_7080
& m2_finseq_1(U_7077,u1_struct_0(U_7081)) )
| U_7079 != k6_rlvect_2(U_7081,U_7080) ) )
| ~ m1_subset_1(U_7079,u1_struct_0(U_7081)) )
| ~ v5_rlvect_1(U_7081)
| ~ v4_rlvect_1(U_7081)
| ~ v3_rlvect_1(U_7081)
| ~ m1_subset_1(U_7080,k1_zfmisc_1(u1_struct_0(U_7081)))
| ~ v1_finset_1(U_7080) )
| ~ l1_rlvect_1(U_7081)
| v3_struct_0(U_7081) ),
inference(variable_rename,[status(thm)],[f_2786_1]) ).
fof(f_2786_3,plain,
! [U_7081] :
( ! [U_7080] :
( ! [U_7079] :
( ( ( U_7079 = k6_rlvect_2(U_7081,U_7080)
| ! [U_7078] :
( U_7079 != k9_rlvect_1(U_7081,U_7078)
| ~ v2_funct_1(U_7078)
| k2_relat_1(U_7078) != U_7080
| ~ m2_finseq_1(U_7078,u1_struct_0(U_7081)) ) )
& ( ( U_7079 = k9_rlvect_1(U_7081,sK876(U_7081,U_7080,U_7079))
& v2_funct_1(sK876(U_7081,U_7080,U_7079))
& k2_relat_1(sK876(U_7081,U_7080,U_7079)) = U_7080
& m2_finseq_1(sK876(U_7081,U_7080,U_7079),u1_struct_0(U_7081)) )
| U_7079 != k6_rlvect_2(U_7081,U_7080) ) )
| ~ m1_subset_1(U_7079,u1_struct_0(U_7081)) )
| ~ v5_rlvect_1(U_7081)
| ~ v4_rlvect_1(U_7081)
| ~ v3_rlvect_1(U_7081)
| ~ m1_subset_1(U_7080,k1_zfmisc_1(u1_struct_0(U_7081)))
| ~ v1_finset_1(U_7080) )
| ~ l1_rlvect_1(U_7081)
| v3_struct_0(U_7081) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK876]),skolemize(U_7077,sK876(U_7081,U_7080,U_7079))],[f_2786_2]) ).
fof(f_2786_4,plain,
( ! [U_7081,U_7079,U_7080] :
( U_7079 = k9_rlvect_1(U_7081,sK876(U_7081,U_7080,U_7079))
| ~ sP1280(U_7081,U_7079,U_7080) )
& ! [U_7081,U_7079,U_7080] :
( v2_funct_1(sK876(U_7081,U_7080,U_7079))
| ~ sP1280(U_7081,U_7079,U_7080) )
& ! [U_7081,U_7079,U_7080] :
( k2_relat_1(sK876(U_7081,U_7080,U_7079)) = U_7080
| ~ sP1280(U_7081,U_7079,U_7080) )
& ! [U_7081,U_7079,U_7080] :
( m2_finseq_1(sK876(U_7081,U_7080,U_7079),u1_struct_0(U_7081))
| ~ sP1280(U_7081,U_7079,U_7080) )
& ! [U_7078,U_7081,U_7079,U_7080] :
( U_7079 = k6_rlvect_2(U_7081,U_7080)
| U_7079 != k9_rlvect_1(U_7081,U_7078)
| ~ v2_funct_1(U_7078)
| k2_relat_1(U_7078) != U_7080
| ~ m2_finseq_1(U_7078,u1_struct_0(U_7081))
| ~ sP1281(U_7078,U_7081,U_7079,U_7080) )
& ! [U_7078,U_7081,U_7079,U_7080] :
( sP1280(U_7081,U_7079,U_7080)
| U_7079 != k6_rlvect_2(U_7081,U_7080)
| ~ sP1281(U_7078,U_7081,U_7079,U_7080) )
& ! [U_7078,U_7081,U_7079,U_7080] :
( sP1281(U_7078,U_7081,U_7079,U_7080)
| ~ m1_subset_1(U_7079,u1_struct_0(U_7081))
| ~ v5_rlvect_1(U_7081)
| ~ v4_rlvect_1(U_7081)
| ~ v3_rlvect_1(U_7081)
| ~ m1_subset_1(U_7080,k1_zfmisc_1(u1_struct_0(U_7081)))
| ~ v1_finset_1(U_7080)
| ~ l1_rlvect_1(U_7081)
| v3_struct_0(U_7081) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1280,sP1281])],[f_2786_3]) ).
cnf(f_2786_5,plain,
( sP1281(U_7078,U_7081,U_7079,U_7080)
| ~ m1_subset_1(U_7079,u1_struct_0(U_7081))
| ~ v5_rlvect_1(U_7081)
| ~ v4_rlvect_1(U_7081)
| ~ v3_rlvect_1(U_7081)
| ~ m1_subset_1(U_7080,k1_zfmisc_1(u1_struct_0(U_7081)))
| ~ v1_finset_1(U_7080)
| ~ l1_rlvect_1(U_7081)
| v3_struct_0(U_7081) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
cnf(f_2786_6,plain,
( sP1280(U_7081,U_7079,U_7080)
| U_7079 != k6_rlvect_2(U_7081,U_7080)
| ~ sP1281(U_7078,U_7081,U_7079,U_7080) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
cnf(f_2786_7,plain,
( U_7079 = k6_rlvect_2(U_7081,U_7080)
| U_7079 != k9_rlvect_1(U_7081,U_7078)
| ~ v2_funct_1(U_7078)
| k2_relat_1(U_7078) != U_7080
| ~ m2_finseq_1(U_7078,u1_struct_0(U_7081))
| ~ sP1281(U_7078,U_7081,U_7079,U_7080) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
cnf(f_2786_8,plain,
( m2_finseq_1(sK876(U_7081,U_7080,U_7079),u1_struct_0(U_7081))
| ~ sP1280(U_7081,U_7079,U_7080) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
cnf(f_2786_9,plain,
( k2_relat_1(sK876(U_7081,U_7080,U_7079)) = U_7080
| ~ sP1280(U_7081,U_7079,U_7080) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
cnf(f_2786_10,plain,
( v2_funct_1(sK876(U_7081,U_7080,U_7079))
| ~ sP1280(U_7081,U_7079,U_7080) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
cnf(f_2786_11,plain,
( U_7079 = k9_rlvect_1(U_7081,sK876(U_7081,U_7080,U_7079))
| ~ sP1280(U_7081,U_7079,U_7080) ),
inference(clausify,[status(thm)],[f_2786_4]) ).
fof(f_2787_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_rlvect_2]) ).
fof(f_2787_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2787_1]) ).
cnf(f_2787_3,plain,
$true,
inference(clausify,[status(thm)],[f_2787_2]) ).
fof(f_2788_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_rlvect_2]) ).
fof(f_2788_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2788_1]) ).
cnf(f_2788_3,plain,
$true,
inference(clausify,[status(thm)],[f_2788_2]) ).
fof(f_2789_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_rlvect_2]) ).
fof(f_2789_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2789_1]) ).
cnf(f_2789_3,plain,
$true,
inference(clausify,[status(thm)],[f_2789_2]) ).
fof(f_2790_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_rlvect_2]) ).
fof(f_2790_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2790_1]) ).
cnf(f_2790_3,plain,
$true,
inference(clausify,[status(thm)],[f_2790_2]) ).
fof(f_2791_1,plain,
! [A] :
( k6_rlvect_2(A,k1_pre_topc(A)) = k1_rlvect_1(A)
| ~ l1_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t14_rlvect_2]) ).
fof(f_2791_2,plain,
! [U_7082] :
( k6_rlvect_2(U_7082,k1_pre_topc(U_7082)) = k1_rlvect_1(U_7082)
| ~ l1_rlvect_1(U_7082)
| ~ v5_rlvect_1(U_7082)
| ~ v4_rlvect_1(U_7082)
| ~ v3_rlvect_1(U_7082)
| v3_struct_0(U_7082) ),
inference(variable_rename,[status(thm)],[f_2791_1]) ).
fof(f_2791_3,plain,
! [U_7082] :
( k6_rlvect_2(U_7082,k1_pre_topc(U_7082)) = k1_rlvect_1(U_7082)
| ~ l1_rlvect_1(U_7082)
| ~ v5_rlvect_1(U_7082)
| ~ v4_rlvect_1(U_7082)
| ~ v3_rlvect_1(U_7082)
| v3_struct_0(U_7082) ),
inference(definitional_conversion,[status(esa)],[f_2791_2]) ).
cnf(f_2791_4,plain,
( k6_rlvect_2(U_7082,k1_pre_topc(U_7082)) = k1_rlvect_1(U_7082)
| ~ l1_rlvect_1(U_7082)
| ~ v5_rlvect_1(U_7082)
| ~ v4_rlvect_1(U_7082)
| ~ v3_rlvect_1(U_7082)
| v3_struct_0(U_7082) ),
inference(clausify,[status(thm)],[f_2791_3]) ).
fof(f_2792_1,plain,
! [A] :
( ! [B] :
( k6_rlvect_2(A,k7_rlvect_2(A,B)) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t15_rlvect_2]) ).
fof(f_2792_2,plain,
! [U_7084] :
( ! [U_7083] :
( k6_rlvect_2(U_7084,k7_rlvect_2(U_7084,U_7083)) = U_7083
| ~ m1_subset_1(U_7083,u1_struct_0(U_7084)) )
| ~ l1_rlvect_1(U_7084)
| ~ v6_rlvect_1(U_7084)
| ~ v5_rlvect_1(U_7084)
| ~ v4_rlvect_1(U_7084)
| ~ v3_rlvect_1(U_7084)
| v3_struct_0(U_7084) ),
inference(variable_rename,[status(thm)],[f_2792_1]) ).
fof(f_2792_3,plain,
! [U_7083,U_7084] :
( k6_rlvect_2(U_7084,k7_rlvect_2(U_7084,U_7083)) = U_7083
| ~ m1_subset_1(U_7083,u1_struct_0(U_7084))
| ~ l1_rlvect_1(U_7084)
| ~ v6_rlvect_1(U_7084)
| ~ v5_rlvect_1(U_7084)
| ~ v4_rlvect_1(U_7084)
| ~ v3_rlvect_1(U_7084)
| v3_struct_0(U_7084) ),
inference(definitional_conversion,[status(esa)],[f_2792_2]) ).
cnf(f_2792_4,plain,
( k6_rlvect_2(U_7084,k7_rlvect_2(U_7084,U_7083)) = U_7083
| ~ m1_subset_1(U_7083,u1_struct_0(U_7084))
| ~ l1_rlvect_1(U_7084)
| ~ v6_rlvect_1(U_7084)
| ~ v5_rlvect_1(U_7084)
| ~ v4_rlvect_1(U_7084)
| ~ v3_rlvect_1(U_7084)
| v3_struct_0(U_7084) ),
inference(clausify,[status(thm)],[f_2792_3]) ).
fof(f_2793_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k8_rlvect_2(A,B,C)) = k4_rlvect_1(A,B,C)
| B = C
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t16_rlvect_2]) ).
fof(f_2793_2,plain,
! [U_7087] :
( ! [U_7086] :
( ! [U_7085] :
( k6_rlvect_2(U_7087,k8_rlvect_2(U_7087,U_7086,U_7085)) = k4_rlvect_1(U_7087,U_7086,U_7085)
| U_7086 = U_7085
| ~ m1_subset_1(U_7085,u1_struct_0(U_7087)) )
| ~ m1_subset_1(U_7086,u1_struct_0(U_7087)) )
| ~ l1_rlvect_1(U_7087)
| ~ v6_rlvect_1(U_7087)
| ~ v5_rlvect_1(U_7087)
| ~ v4_rlvect_1(U_7087)
| ~ v3_rlvect_1(U_7087)
| v3_struct_0(U_7087) ),
inference(variable_rename,[status(thm)],[f_2793_1]) ).
fof(f_2793_3,plain,
! [U_7087,U_7086,U_7085] :
( k6_rlvect_2(U_7087,k8_rlvect_2(U_7087,U_7086,U_7085)) = k4_rlvect_1(U_7087,U_7086,U_7085)
| U_7086 = U_7085
| ~ m1_subset_1(U_7085,u1_struct_0(U_7087))
| ~ m1_subset_1(U_7086,u1_struct_0(U_7087))
| ~ l1_rlvect_1(U_7087)
| ~ v6_rlvect_1(U_7087)
| ~ v5_rlvect_1(U_7087)
| ~ v4_rlvect_1(U_7087)
| ~ v3_rlvect_1(U_7087)
| v3_struct_0(U_7087) ),
inference(definitional_conversion,[status(esa)],[f_2793_2]) ).
cnf(f_2793_4,plain,
( k6_rlvect_2(U_7087,k8_rlvect_2(U_7087,U_7086,U_7085)) = k4_rlvect_1(U_7087,U_7086,U_7085)
| U_7086 = U_7085
| ~ m1_subset_1(U_7085,u1_struct_0(U_7087))
| ~ m1_subset_1(U_7086,u1_struct_0(U_7087))
| ~ l1_rlvect_1(U_7087)
| ~ v6_rlvect_1(U_7087)
| ~ v5_rlvect_1(U_7087)
| ~ v4_rlvect_1(U_7087)
| ~ v3_rlvect_1(U_7087)
| v3_struct_0(U_7087) ),
inference(clausify,[status(thm)],[f_2793_3]) ).
fof(f_2794_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_rlvect_2(A,k9_rlvect_2(A,B,C,D)) = k4_rlvect_1(A,k4_rlvect_1(A,B,C),D)
| B = D
| C = D
| B = C
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t17_rlvect_2]) ).
fof(f_2794_2,plain,
! [U_7091] :
( ! [U_7090] :
( ! [U_7089] :
( ! [U_7088] :
( k6_rlvect_2(U_7091,k9_rlvect_2(U_7091,U_7090,U_7089,U_7088)) = k4_rlvect_1(U_7091,k4_rlvect_1(U_7091,U_7090,U_7089),U_7088)
| U_7090 = U_7088
| U_7089 = U_7088
| U_7090 = U_7089
| ~ m1_subset_1(U_7088,u1_struct_0(U_7091)) )
| ~ m1_subset_1(U_7089,u1_struct_0(U_7091)) )
| ~ m1_subset_1(U_7090,u1_struct_0(U_7091)) )
| ~ l1_rlvect_1(U_7091)
| ~ v6_rlvect_1(U_7091)
| ~ v5_rlvect_1(U_7091)
| ~ v4_rlvect_1(U_7091)
| ~ v3_rlvect_1(U_7091)
| v3_struct_0(U_7091) ),
inference(variable_rename,[status(thm)],[f_2794_1]) ).
fof(f_2794_3,plain,
! [U_7089,U_7088,U_7091,U_7090] :
( k6_rlvect_2(U_7091,k9_rlvect_2(U_7091,U_7090,U_7089,U_7088)) = k4_rlvect_1(U_7091,k4_rlvect_1(U_7091,U_7090,U_7089),U_7088)
| U_7090 = U_7088
| U_7089 = U_7088
| U_7090 = U_7089
| ~ m1_subset_1(U_7088,u1_struct_0(U_7091))
| ~ m1_subset_1(U_7089,u1_struct_0(U_7091))
| ~ m1_subset_1(U_7090,u1_struct_0(U_7091))
| ~ l1_rlvect_1(U_7091)
| ~ v6_rlvect_1(U_7091)
| ~ v5_rlvect_1(U_7091)
| ~ v4_rlvect_1(U_7091)
| ~ v3_rlvect_1(U_7091)
| v3_struct_0(U_7091) ),
inference(definitional_conversion,[status(esa)],[f_2794_2]) ).
cnf(f_2794_4,plain,
( k6_rlvect_2(U_7091,k9_rlvect_2(U_7091,U_7090,U_7089,U_7088)) = k4_rlvect_1(U_7091,k4_rlvect_1(U_7091,U_7090,U_7089),U_7088)
| U_7090 = U_7088
| U_7089 = U_7088
| U_7090 = U_7089
| ~ m1_subset_1(U_7088,u1_struct_0(U_7091))
| ~ m1_subset_1(U_7089,u1_struct_0(U_7091))
| ~ m1_subset_1(U_7090,u1_struct_0(U_7091))
| ~ l1_rlvect_1(U_7091)
| ~ v6_rlvect_1(U_7091)
| ~ v5_rlvect_1(U_7091)
| ~ v4_rlvect_1(U_7091)
| ~ v3_rlvect_1(U_7091)
| v3_struct_0(U_7091) ),
inference(clausify,[status(thm)],[f_2794_3]) ).
fof(f_2795_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k2_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B))
| ~ r1_xboole_0(C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t18_rlvect_2]) ).
fof(f_2795_2,plain,
! [U_7094] :
( ! [U_7093] :
( ! [U_7092] :
( k6_rlvect_2(U_7094,k2_rlvect_2(U_7094,U_7092,U_7093)) = k4_rlvect_1(U_7094,k6_rlvect_2(U_7094,U_7092),k6_rlvect_2(U_7094,U_7093))
| ~ r1_xboole_0(U_7092,U_7093)
| ~ m1_subset_1(U_7092,k1_zfmisc_1(u1_struct_0(U_7094)))
| ~ v1_finset_1(U_7092) )
| ~ m1_subset_1(U_7093,k1_zfmisc_1(u1_struct_0(U_7094)))
| ~ v1_finset_1(U_7093) )
| ~ l1_rlvect_1(U_7094)
| ~ v5_rlvect_1(U_7094)
| ~ v4_rlvect_1(U_7094)
| ~ v3_rlvect_1(U_7094)
| v3_struct_0(U_7094) ),
inference(variable_rename,[status(thm)],[f_2795_1]) ).
fof(f_2795_3,plain,
! [U_7093,U_7092,U_7094] :
( k6_rlvect_2(U_7094,k2_rlvect_2(U_7094,U_7092,U_7093)) = k4_rlvect_1(U_7094,k6_rlvect_2(U_7094,U_7092),k6_rlvect_2(U_7094,U_7093))
| ~ r1_xboole_0(U_7092,U_7093)
| ~ m1_subset_1(U_7092,k1_zfmisc_1(u1_struct_0(U_7094)))
| ~ v1_finset_1(U_7092)
| ~ m1_subset_1(U_7093,k1_zfmisc_1(u1_struct_0(U_7094)))
| ~ v1_finset_1(U_7093)
| ~ l1_rlvect_1(U_7094)
| ~ v5_rlvect_1(U_7094)
| ~ v4_rlvect_1(U_7094)
| ~ v3_rlvect_1(U_7094)
| v3_struct_0(U_7094) ),
inference(definitional_conversion,[status(esa)],[f_2795_2]) ).
cnf(f_2795_4,plain,
( k6_rlvect_2(U_7094,k2_rlvect_2(U_7094,U_7092,U_7093)) = k4_rlvect_1(U_7094,k6_rlvect_2(U_7094,U_7092),k6_rlvect_2(U_7094,U_7093))
| ~ r1_xboole_0(U_7092,U_7093)
| ~ m1_subset_1(U_7092,k1_zfmisc_1(u1_struct_0(U_7094)))
| ~ v1_finset_1(U_7092)
| ~ m1_subset_1(U_7093,k1_zfmisc_1(u1_struct_0(U_7094)))
| ~ v1_finset_1(U_7093)
| ~ l1_rlvect_1(U_7094)
| ~ v5_rlvect_1(U_7094)
| ~ v4_rlvect_1(U_7094)
| ~ v3_rlvect_1(U_7094)
| v3_struct_0(U_7094) ),
inference(clausify,[status(thm)],[f_2795_3]) ).
fof(f_2796_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k2_rlvect_2(A,C,B)) = k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B)))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_rlvect_2]) ).
fof(f_2796_2,plain,
! [U_7097] :
( ! [U_7096] :
( ! [U_7095] :
( k6_rlvect_2(U_7097,k2_rlvect_2(U_7097,U_7095,U_7096)) = k6_rlvect_1(U_7097,k4_rlvect_1(U_7097,k6_rlvect_2(U_7097,U_7095),k6_rlvect_2(U_7097,U_7096)),k6_rlvect_2(U_7097,k3_rlvect_2(U_7097,U_7095,U_7096)))
| ~ m1_subset_1(U_7095,k1_zfmisc_1(u1_struct_0(U_7097)))
| ~ v1_finset_1(U_7095) )
| ~ m1_subset_1(U_7096,k1_zfmisc_1(u1_struct_0(U_7097)))
| ~ v1_finset_1(U_7096) )
| ~ l1_rlvect_1(U_7097)
| ~ v6_rlvect_1(U_7097)
| ~ v5_rlvect_1(U_7097)
| ~ v4_rlvect_1(U_7097)
| ~ v3_rlvect_1(U_7097)
| v3_struct_0(U_7097) ),
inference(variable_rename,[status(thm)],[f_2796_1]) ).
fof(f_2796_3,plain,
! [U_7096,U_7095,U_7097] :
( k6_rlvect_2(U_7097,k2_rlvect_2(U_7097,U_7095,U_7096)) = k6_rlvect_1(U_7097,k4_rlvect_1(U_7097,k6_rlvect_2(U_7097,U_7095),k6_rlvect_2(U_7097,U_7096)),k6_rlvect_2(U_7097,k3_rlvect_2(U_7097,U_7095,U_7096)))
| ~ m1_subset_1(U_7095,k1_zfmisc_1(u1_struct_0(U_7097)))
| ~ v1_finset_1(U_7095)
| ~ m1_subset_1(U_7096,k1_zfmisc_1(u1_struct_0(U_7097)))
| ~ v1_finset_1(U_7096)
| ~ l1_rlvect_1(U_7097)
| ~ v6_rlvect_1(U_7097)
| ~ v5_rlvect_1(U_7097)
| ~ v4_rlvect_1(U_7097)
| ~ v3_rlvect_1(U_7097)
| v3_struct_0(U_7097) ),
inference(definitional_conversion,[status(esa)],[f_2796_2]) ).
cnf(f_2796_4,plain,
( k6_rlvect_2(U_7097,k2_rlvect_2(U_7097,U_7095,U_7096)) = k6_rlvect_1(U_7097,k4_rlvect_1(U_7097,k6_rlvect_2(U_7097,U_7095),k6_rlvect_2(U_7097,U_7096)),k6_rlvect_2(U_7097,k3_rlvect_2(U_7097,U_7095,U_7096)))
| ~ m1_subset_1(U_7095,k1_zfmisc_1(u1_struct_0(U_7097)))
| ~ v1_finset_1(U_7095)
| ~ m1_subset_1(U_7096,k1_zfmisc_1(u1_struct_0(U_7097)))
| ~ v1_finset_1(U_7096)
| ~ l1_rlvect_1(U_7097)
| ~ v6_rlvect_1(U_7097)
| ~ v5_rlvect_1(U_7097)
| ~ v4_rlvect_1(U_7097)
| ~ v3_rlvect_1(U_7097)
| v3_struct_0(U_7097) ),
inference(clausify,[status(thm)],[f_2796_3]) ).
fof(f_2797_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k3_rlvect_2(A,C,B)) = k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k2_rlvect_2(A,C,B)))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_rlvect_2]) ).
fof(f_2797_2,plain,
! [U_7100] :
( ! [U_7099] :
( ! [U_7098] :
( k6_rlvect_2(U_7100,k3_rlvect_2(U_7100,U_7098,U_7099)) = k6_rlvect_1(U_7100,k4_rlvect_1(U_7100,k6_rlvect_2(U_7100,U_7098),k6_rlvect_2(U_7100,U_7099)),k6_rlvect_2(U_7100,k2_rlvect_2(U_7100,U_7098,U_7099)))
| ~ m1_subset_1(U_7098,k1_zfmisc_1(u1_struct_0(U_7100)))
| ~ v1_finset_1(U_7098) )
| ~ m1_subset_1(U_7099,k1_zfmisc_1(u1_struct_0(U_7100)))
| ~ v1_finset_1(U_7099) )
| ~ l1_rlvect_1(U_7100)
| ~ v6_rlvect_1(U_7100)
| ~ v5_rlvect_1(U_7100)
| ~ v4_rlvect_1(U_7100)
| ~ v3_rlvect_1(U_7100)
| v3_struct_0(U_7100) ),
inference(variable_rename,[status(thm)],[f_2797_1]) ).
fof(f_2797_3,plain,
! [U_7098,U_7100,U_7099] :
( k6_rlvect_2(U_7100,k3_rlvect_2(U_7100,U_7098,U_7099)) = k6_rlvect_1(U_7100,k4_rlvect_1(U_7100,k6_rlvect_2(U_7100,U_7098),k6_rlvect_2(U_7100,U_7099)),k6_rlvect_2(U_7100,k2_rlvect_2(U_7100,U_7098,U_7099)))
| ~ m1_subset_1(U_7098,k1_zfmisc_1(u1_struct_0(U_7100)))
| ~ v1_finset_1(U_7098)
| ~ m1_subset_1(U_7099,k1_zfmisc_1(u1_struct_0(U_7100)))
| ~ v1_finset_1(U_7099)
| ~ l1_rlvect_1(U_7100)
| ~ v6_rlvect_1(U_7100)
| ~ v5_rlvect_1(U_7100)
| ~ v4_rlvect_1(U_7100)
| ~ v3_rlvect_1(U_7100)
| v3_struct_0(U_7100) ),
inference(definitional_conversion,[status(esa)],[f_2797_2]) ).
cnf(f_2797_4,plain,
( k6_rlvect_2(U_7100,k3_rlvect_2(U_7100,U_7098,U_7099)) = k6_rlvect_1(U_7100,k4_rlvect_1(U_7100,k6_rlvect_2(U_7100,U_7098),k6_rlvect_2(U_7100,U_7099)),k6_rlvect_2(U_7100,k2_rlvect_2(U_7100,U_7098,U_7099)))
| ~ m1_subset_1(U_7098,k1_zfmisc_1(u1_struct_0(U_7100)))
| ~ v1_finset_1(U_7098)
| ~ m1_subset_1(U_7099,k1_zfmisc_1(u1_struct_0(U_7100)))
| ~ v1_finset_1(U_7099)
| ~ l1_rlvect_1(U_7100)
| ~ v6_rlvect_1(U_7100)
| ~ v5_rlvect_1(U_7100)
| ~ v4_rlvect_1(U_7100)
| ~ v3_rlvect_1(U_7100)
| v3_struct_0(U_7100) ),
inference(clausify,[status(thm)],[f_2797_3]) ).
fof(f_2798_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,B))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t21_rlvect_2]) ).
fof(f_2798_2,plain,
! [U_7103] :
( ! [U_7102] :
( ! [U_7101] :
( k6_rlvect_2(U_7103,k4_rlvect_2(U_7103,U_7101,U_7102)) = k6_rlvect_1(U_7103,k6_rlvect_2(U_7103,k2_rlvect_2(U_7103,U_7101,U_7102)),k6_rlvect_2(U_7103,U_7102))
| ~ m1_subset_1(U_7101,k1_zfmisc_1(u1_struct_0(U_7103)))
| ~ v1_finset_1(U_7101) )
| ~ m1_subset_1(U_7102,k1_zfmisc_1(u1_struct_0(U_7103)))
| ~ v1_finset_1(U_7102) )
| ~ l1_rlvect_1(U_7103)
| ~ v6_rlvect_1(U_7103)
| ~ v5_rlvect_1(U_7103)
| ~ v4_rlvect_1(U_7103)
| ~ v3_rlvect_1(U_7103)
| v3_struct_0(U_7103) ),
inference(variable_rename,[status(thm)],[f_2798_1]) ).
fof(f_2798_3,plain,
! [U_7103,U_7102,U_7101] :
( k6_rlvect_2(U_7103,k4_rlvect_2(U_7103,U_7101,U_7102)) = k6_rlvect_1(U_7103,k6_rlvect_2(U_7103,k2_rlvect_2(U_7103,U_7101,U_7102)),k6_rlvect_2(U_7103,U_7102))
| ~ m1_subset_1(U_7101,k1_zfmisc_1(u1_struct_0(U_7103)))
| ~ v1_finset_1(U_7101)
| ~ m1_subset_1(U_7102,k1_zfmisc_1(u1_struct_0(U_7103)))
| ~ v1_finset_1(U_7102)
| ~ l1_rlvect_1(U_7103)
| ~ v6_rlvect_1(U_7103)
| ~ v5_rlvect_1(U_7103)
| ~ v4_rlvect_1(U_7103)
| ~ v3_rlvect_1(U_7103)
| v3_struct_0(U_7103) ),
inference(definitional_conversion,[status(esa)],[f_2798_2]) ).
cnf(f_2798_4,plain,
( k6_rlvect_2(U_7103,k4_rlvect_2(U_7103,U_7101,U_7102)) = k6_rlvect_1(U_7103,k6_rlvect_2(U_7103,k2_rlvect_2(U_7103,U_7101,U_7102)),k6_rlvect_2(U_7103,U_7102))
| ~ m1_subset_1(U_7101,k1_zfmisc_1(u1_struct_0(U_7103)))
| ~ v1_finset_1(U_7101)
| ~ m1_subset_1(U_7102,k1_zfmisc_1(u1_struct_0(U_7103)))
| ~ v1_finset_1(U_7102)
| ~ l1_rlvect_1(U_7103)
| ~ v6_rlvect_1(U_7103)
| ~ v5_rlvect_1(U_7103)
| ~ v4_rlvect_1(U_7103)
| ~ v3_rlvect_1(U_7103)
| v3_struct_0(U_7103) ),
inference(clausify,[status(thm)],[f_2798_3]) ).
fof(f_2799_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,k3_rlvect_2(A,C,B)))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_rlvect_2]) ).
fof(f_2799_2,plain,
! [U_7106] :
( ! [U_7105] :
( ! [U_7104] :
( k6_rlvect_2(U_7106,k4_rlvect_2(U_7106,U_7104,U_7105)) = k6_rlvect_1(U_7106,k6_rlvect_2(U_7106,U_7104),k6_rlvect_2(U_7106,k3_rlvect_2(U_7106,U_7104,U_7105)))
| ~ m1_subset_1(U_7104,k1_zfmisc_1(u1_struct_0(U_7106)))
| ~ v1_finset_1(U_7104) )
| ~ m1_subset_1(U_7105,k1_zfmisc_1(u1_struct_0(U_7106)))
| ~ v1_finset_1(U_7105) )
| ~ l1_rlvect_1(U_7106)
| ~ v6_rlvect_1(U_7106)
| ~ v5_rlvect_1(U_7106)
| ~ v4_rlvect_1(U_7106)
| ~ v3_rlvect_1(U_7106)
| v3_struct_0(U_7106) ),
inference(variable_rename,[status(thm)],[f_2799_1]) ).
fof(f_2799_3,plain,
! [U_7106,U_7105,U_7104] :
( k6_rlvect_2(U_7106,k4_rlvect_2(U_7106,U_7104,U_7105)) = k6_rlvect_1(U_7106,k6_rlvect_2(U_7106,U_7104),k6_rlvect_2(U_7106,k3_rlvect_2(U_7106,U_7104,U_7105)))
| ~ m1_subset_1(U_7104,k1_zfmisc_1(u1_struct_0(U_7106)))
| ~ v1_finset_1(U_7104)
| ~ m1_subset_1(U_7105,k1_zfmisc_1(u1_struct_0(U_7106)))
| ~ v1_finset_1(U_7105)
| ~ l1_rlvect_1(U_7106)
| ~ v6_rlvect_1(U_7106)
| ~ v5_rlvect_1(U_7106)
| ~ v4_rlvect_1(U_7106)
| ~ v3_rlvect_1(U_7106)
| v3_struct_0(U_7106) ),
inference(definitional_conversion,[status(esa)],[f_2799_2]) ).
cnf(f_2799_4,plain,
( k6_rlvect_2(U_7106,k4_rlvect_2(U_7106,U_7104,U_7105)) = k6_rlvect_1(U_7106,k6_rlvect_2(U_7106,U_7104),k6_rlvect_2(U_7106,k3_rlvect_2(U_7106,U_7104,U_7105)))
| ~ m1_subset_1(U_7104,k1_zfmisc_1(u1_struct_0(U_7106)))
| ~ v1_finset_1(U_7104)
| ~ m1_subset_1(U_7105,k1_zfmisc_1(u1_struct_0(U_7106)))
| ~ v1_finset_1(U_7105)
| ~ l1_rlvect_1(U_7106)
| ~ v6_rlvect_1(U_7106)
| ~ v5_rlvect_1(U_7106)
| ~ v4_rlvect_1(U_7106)
| ~ v3_rlvect_1(U_7106)
| v3_struct_0(U_7106) ),
inference(clausify,[status(thm)],[f_2799_3]) ).
fof(f_2800_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B)))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t23_rlvect_2]) ).
fof(f_2800_2,plain,
! [U_7109] :
( ! [U_7108] :
( ! [U_7107] :
( k6_rlvect_2(U_7109,k5_rlvect_2(U_7109,U_7107,U_7108)) = k6_rlvect_1(U_7109,k6_rlvect_2(U_7109,k2_rlvect_2(U_7109,U_7107,U_7108)),k6_rlvect_2(U_7109,k3_rlvect_2(U_7109,U_7107,U_7108)))
| ~ m1_subset_1(U_7107,k1_zfmisc_1(u1_struct_0(U_7109)))
| ~ v1_finset_1(U_7107) )
| ~ m1_subset_1(U_7108,k1_zfmisc_1(u1_struct_0(U_7109)))
| ~ v1_finset_1(U_7108) )
| ~ l1_rlvect_1(U_7109)
| ~ v6_rlvect_1(U_7109)
| ~ v5_rlvect_1(U_7109)
| ~ v4_rlvect_1(U_7109)
| ~ v3_rlvect_1(U_7109)
| v3_struct_0(U_7109) ),
inference(variable_rename,[status(thm)],[f_2800_1]) ).
fof(f_2800_3,plain,
! [U_7109,U_7107,U_7108] :
( k6_rlvect_2(U_7109,k5_rlvect_2(U_7109,U_7107,U_7108)) = k6_rlvect_1(U_7109,k6_rlvect_2(U_7109,k2_rlvect_2(U_7109,U_7107,U_7108)),k6_rlvect_2(U_7109,k3_rlvect_2(U_7109,U_7107,U_7108)))
| ~ m1_subset_1(U_7107,k1_zfmisc_1(u1_struct_0(U_7109)))
| ~ v1_finset_1(U_7107)
| ~ m1_subset_1(U_7108,k1_zfmisc_1(u1_struct_0(U_7109)))
| ~ v1_finset_1(U_7108)
| ~ l1_rlvect_1(U_7109)
| ~ v6_rlvect_1(U_7109)
| ~ v5_rlvect_1(U_7109)
| ~ v4_rlvect_1(U_7109)
| ~ v3_rlvect_1(U_7109)
| v3_struct_0(U_7109) ),
inference(definitional_conversion,[status(esa)],[f_2800_2]) ).
cnf(f_2800_4,plain,
( k6_rlvect_2(U_7109,k5_rlvect_2(U_7109,U_7107,U_7108)) = k6_rlvect_1(U_7109,k6_rlvect_2(U_7109,k2_rlvect_2(U_7109,U_7107,U_7108)),k6_rlvect_2(U_7109,k3_rlvect_2(U_7109,U_7107,U_7108)))
| ~ m1_subset_1(U_7107,k1_zfmisc_1(u1_struct_0(U_7109)))
| ~ v1_finset_1(U_7107)
| ~ m1_subset_1(U_7108,k1_zfmisc_1(u1_struct_0(U_7109)))
| ~ v1_finset_1(U_7108)
| ~ l1_rlvect_1(U_7109)
| ~ v6_rlvect_1(U_7109)
| ~ v5_rlvect_1(U_7109)
| ~ v4_rlvect_1(U_7109)
| ~ v3_rlvect_1(U_7109)
| v3_struct_0(U_7109) ),
inference(clausify,[status(thm)],[f_2800_3]) ).
fof(f_2801_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,k4_rlvect_2(A,C,B)),k6_rlvect_2(A,k4_rlvect_2(A,B,C)))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B) )
| ~ l1_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t24_rlvect_2]) ).
fof(f_2801_2,plain,
! [U_7112] :
( ! [U_7111] :
( ! [U_7110] :
( k6_rlvect_2(U_7112,k5_rlvect_2(U_7112,U_7110,U_7111)) = k4_rlvect_1(U_7112,k6_rlvect_2(U_7112,k4_rlvect_2(U_7112,U_7110,U_7111)),k6_rlvect_2(U_7112,k4_rlvect_2(U_7112,U_7111,U_7110)))
| ~ m1_subset_1(U_7110,k1_zfmisc_1(u1_struct_0(U_7112)))
| ~ v1_finset_1(U_7110) )
| ~ m1_subset_1(U_7111,k1_zfmisc_1(u1_struct_0(U_7112)))
| ~ v1_finset_1(U_7111) )
| ~ l1_rlvect_1(U_7112)
| ~ v5_rlvect_1(U_7112)
| ~ v4_rlvect_1(U_7112)
| ~ v3_rlvect_1(U_7112)
| v3_struct_0(U_7112) ),
inference(variable_rename,[status(thm)],[f_2801_1]) ).
fof(f_2801_3,plain,
! [U_7110,U_7111,U_7112] :
( k6_rlvect_2(U_7112,k5_rlvect_2(U_7112,U_7110,U_7111)) = k4_rlvect_1(U_7112,k6_rlvect_2(U_7112,k4_rlvect_2(U_7112,U_7110,U_7111)),k6_rlvect_2(U_7112,k4_rlvect_2(U_7112,U_7111,U_7110)))
| ~ m1_subset_1(U_7110,k1_zfmisc_1(u1_struct_0(U_7112)))
| ~ v1_finset_1(U_7110)
| ~ m1_subset_1(U_7111,k1_zfmisc_1(u1_struct_0(U_7112)))
| ~ v1_finset_1(U_7111)
| ~ l1_rlvect_1(U_7112)
| ~ v5_rlvect_1(U_7112)
| ~ v4_rlvect_1(U_7112)
| ~ v3_rlvect_1(U_7112)
| v3_struct_0(U_7112) ),
inference(definitional_conversion,[status(esa)],[f_2801_2]) ).
cnf(f_2801_4,plain,
( k6_rlvect_2(U_7112,k5_rlvect_2(U_7112,U_7110,U_7111)) = k4_rlvect_1(U_7112,k6_rlvect_2(U_7112,k4_rlvect_2(U_7112,U_7110,U_7111)),k6_rlvect_2(U_7112,k4_rlvect_2(U_7112,U_7111,U_7110)))
| ~ m1_subset_1(U_7110,k1_zfmisc_1(u1_struct_0(U_7112)))
| ~ v1_finset_1(U_7110)
| ~ m1_subset_1(U_7111,k1_zfmisc_1(u1_struct_0(U_7112)))
| ~ v1_finset_1(U_7111)
| ~ l1_rlvect_1(U_7112)
| ~ v5_rlvect_1(U_7112)
| ~ v4_rlvect_1(U_7112)
| ~ v3_rlvect_1(U_7112)
| v3_struct_0(U_7112) ),
inference(clausify,[status(thm)],[f_2801_3]) ).
fof(f_2802_1,plain,
! [A] :
( ! [B] :
( ( ( m1_rlvect_2(B,A)
| ! [C] :
( ? [D] :
( k8_funct_2(u1_struct_0(A),k1_numbers,B,D) != np__0
& ~ r2_hidden(D,C)
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C) ) )
& ( ? [C] :
( ! [D] :
( k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = np__0
| r2_hidden(D,C)
| ~ m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(C) )
| ~ m1_rlvect_2(B,A) ) )
| ~ m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers)) )
| ~ l2_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_rlvect_2]) ).
fof(f_2802_2,plain,
! [U_7118] :
( ! [U_7117] :
( ( ( m1_rlvect_2(U_7117,U_7118)
| ! [U_7116] :
( ? [U_7115] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7115) != np__0
& ~ r2_hidden(U_7115,U_7116)
& m1_subset_1(U_7115,u1_struct_0(U_7118)) )
| ~ m1_subset_1(U_7116,k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ v1_finset_1(U_7116) ) )
& ( ? [U_7114] :
( ! [U_7113] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7113) = np__0
| r2_hidden(U_7113,U_7114)
| ~ m1_subset_1(U_7113,u1_struct_0(U_7118)) )
& m1_subset_1(U_7114,k1_zfmisc_1(u1_struct_0(U_7118)))
& v1_finset_1(U_7114) )
| ~ m1_rlvect_2(U_7117,U_7118) ) )
| ~ m2_fraenkel(U_7117,u1_struct_0(U_7118),k1_numbers,k1_fraenkel(u1_struct_0(U_7118),k1_numbers)) )
| ~ l2_struct_0(U_7118)
| v3_struct_0(U_7118) ),
inference(variable_rename,[status(thm)],[f_2802_1]) ).
fof(f_2802_3,plain,
! [U_7118] :
( ! [U_7117] :
( ( ( m1_rlvect_2(U_7117,U_7118)
| ! [U_7116] :
( ? [U_7115] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7115) != np__0
& ~ r2_hidden(U_7115,U_7116)
& m1_subset_1(U_7115,u1_struct_0(U_7118)) )
| ~ m1_subset_1(U_7116,k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ v1_finset_1(U_7116) ) )
& ( ( ! [U_7113] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7113) = np__0
| r2_hidden(U_7113,sK877(U_7118,U_7117))
| ~ m1_subset_1(U_7113,u1_struct_0(U_7118)) )
& m1_subset_1(sK877(U_7118,U_7117),k1_zfmisc_1(u1_struct_0(U_7118)))
& v1_finset_1(sK877(U_7118,U_7117)) )
| ~ m1_rlvect_2(U_7117,U_7118) ) )
| ~ m2_fraenkel(U_7117,u1_struct_0(U_7118),k1_numbers,k1_fraenkel(u1_struct_0(U_7118),k1_numbers)) )
| ~ l2_struct_0(U_7118)
| v3_struct_0(U_7118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK877]),skolemize(U_7114,sK877(U_7118,U_7117))],[f_2802_2]) ).
fof(f_2802_4,plain,
! [U_7118] :
( ! [U_7117] :
( ( ( m1_rlvect_2(U_7117,U_7118)
| ! [U_7116] :
( ( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,sK878(U_7118,U_7117,U_7116)) != np__0
& ~ r2_hidden(sK878(U_7118,U_7117,U_7116),U_7116)
& m1_subset_1(sK878(U_7118,U_7117,U_7116),u1_struct_0(U_7118)) )
| ~ m1_subset_1(U_7116,k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ v1_finset_1(U_7116) ) )
& ( ( ! [U_7113] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7113) = np__0
| r2_hidden(U_7113,sK877(U_7118,U_7117))
| ~ m1_subset_1(U_7113,u1_struct_0(U_7118)) )
& m1_subset_1(sK877(U_7118,U_7117),k1_zfmisc_1(u1_struct_0(U_7118)))
& v1_finset_1(sK877(U_7118,U_7117)) )
| ~ m1_rlvect_2(U_7117,U_7118) ) )
| ~ m2_fraenkel(U_7117,u1_struct_0(U_7118),k1_numbers,k1_fraenkel(u1_struct_0(U_7118),k1_numbers)) )
| ~ l2_struct_0(U_7118)
| v3_struct_0(U_7118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK878]),skolemize(U_7115,sK878(U_7118,U_7117,U_7116))],[f_2802_3]) ).
fof(f_2802_5,plain,
( ! [U_7118,U_7116,U_7117] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,sK878(U_7118,U_7117,U_7116)) != np__0
| ~ sP1283(U_7118,U_7116,U_7117) )
& ! [U_7118,U_7116,U_7117] :
( ~ r2_hidden(sK878(U_7118,U_7117,U_7116),U_7116)
| ~ sP1283(U_7118,U_7116,U_7117) )
& ! [U_7118,U_7116,U_7117] :
( m1_subset_1(sK878(U_7118,U_7117,U_7116),u1_struct_0(U_7118))
| ~ sP1283(U_7118,U_7116,U_7117) )
& ! [U_7118,U_7117,U_7113] :
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7113) = np__0
| r2_hidden(U_7113,sK877(U_7118,U_7117))
| ~ m1_subset_1(U_7113,u1_struct_0(U_7118))
| ~ sP1282(U_7118,U_7117,U_7113) )
& ! [U_7118,U_7117,U_7113] :
( m1_subset_1(sK877(U_7118,U_7117),k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ sP1282(U_7118,U_7117,U_7113) )
& ! [U_7118,U_7117,U_7113] :
( v1_finset_1(sK877(U_7118,U_7117))
| ~ sP1282(U_7118,U_7117,U_7113) )
& ! [U_7118,U_7116,U_7117,U_7113] :
( m1_rlvect_2(U_7117,U_7118)
| sP1283(U_7118,U_7116,U_7117)
| ~ m1_subset_1(U_7116,k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ v1_finset_1(U_7116)
| ~ sP1284(U_7118,U_7116,U_7117,U_7113) )
& ! [U_7118,U_7116,U_7117,U_7113] :
( sP1282(U_7118,U_7117,U_7113)
| ~ m1_rlvect_2(U_7117,U_7118)
| ~ sP1284(U_7118,U_7116,U_7117,U_7113) )
& ! [U_7118,U_7116,U_7117,U_7113] :
( sP1284(U_7118,U_7116,U_7117,U_7113)
| ~ m2_fraenkel(U_7117,u1_struct_0(U_7118),k1_numbers,k1_fraenkel(u1_struct_0(U_7118),k1_numbers))
| ~ l2_struct_0(U_7118)
| v3_struct_0(U_7118) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1282,sP1283,sP1284])],[f_2802_4]) ).
cnf(f_2802_6,plain,
( sP1284(U_7118,U_7116,U_7117,U_7113)
| ~ m2_fraenkel(U_7117,u1_struct_0(U_7118),k1_numbers,k1_fraenkel(u1_struct_0(U_7118),k1_numbers))
| ~ l2_struct_0(U_7118)
| v3_struct_0(U_7118) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_7,plain,
( sP1282(U_7118,U_7117,U_7113)
| ~ m1_rlvect_2(U_7117,U_7118)
| ~ sP1284(U_7118,U_7116,U_7117,U_7113) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_8,plain,
( m1_rlvect_2(U_7117,U_7118)
| sP1283(U_7118,U_7116,U_7117)
| ~ m1_subset_1(U_7116,k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ v1_finset_1(U_7116)
| ~ sP1284(U_7118,U_7116,U_7117,U_7113) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_9,plain,
( v1_finset_1(sK877(U_7118,U_7117))
| ~ sP1282(U_7118,U_7117,U_7113) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_10,plain,
( m1_subset_1(sK877(U_7118,U_7117),k1_zfmisc_1(u1_struct_0(U_7118)))
| ~ sP1282(U_7118,U_7117,U_7113) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_11,plain,
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,U_7113) = np__0
| r2_hidden(U_7113,sK877(U_7118,U_7117))
| ~ m1_subset_1(U_7113,u1_struct_0(U_7118))
| ~ sP1282(U_7118,U_7117,U_7113) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_12,plain,
( m1_subset_1(sK878(U_7118,U_7117,U_7116),u1_struct_0(U_7118))
| ~ sP1283(U_7118,U_7116,U_7117) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_13,plain,
( ~ r2_hidden(sK878(U_7118,U_7117,U_7116),U_7116)
| ~ sP1283(U_7118,U_7116,U_7117) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
cnf(f_2802_14,plain,
( k8_funct_2(u1_struct_0(U_7118),k1_numbers,U_7117,sK878(U_7118,U_7117,U_7116)) != np__0
| ~ sP1283(U_7118,U_7116,U_7117) ),
inference(clausify,[status(thm)],[f_2802_5]) ).
fof(f_2803_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t25_rlvect_2]) ).
fof(f_2803_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2803_1]) ).
cnf(f_2803_3,plain,
$true,
inference(clausify,[status(thm)],[f_2803_2]) ).
fof(f_2804_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_rlvect_2]) ).
fof(f_2804_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2804_1]) ).
cnf(f_2804_3,plain,
$true,
inference(clausify,[status(thm)],[f_2804_2]) ).
fof(f_2805_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_rlvect_2]) ).
fof(f_2805_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2805_1]) ).
cnf(f_2805_3,plain,
$true,
inference(clausify,[status(thm)],[f_2805_2]) ).
fof(f_2806_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k8_funct_2(u1_struct_0(A),k1_numbers,B,C) = np__0
| r2_hidden(C,k10_rlvect_2(A,B)) )
& ( ~ r2_hidden(C,k10_rlvect_2(A,B))
| k8_funct_2(u1_struct_0(A),k1_numbers,B,C) != np__0 ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_rlvect_2(B,A) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_rlvect_2]) ).
fof(f_2806_2,plain,
! [U_7121] :
( ! [U_7120] :
( ! [U_7119] :
( ( ( k8_funct_2(u1_struct_0(U_7121),k1_numbers,U_7120,U_7119) = np__0
| r2_hidden(U_7119,k10_rlvect_2(U_7121,U_7120)) )
& ( ~ r2_hidden(U_7119,k10_rlvect_2(U_7121,U_7120))
| k8_funct_2(u1_struct_0(U_7121),k1_numbers,U_7120,U_7119) != np__0 ) )
| ~ m1_subset_1(U_7119,u1_struct_0(U_7121)) )
| ~ m1_rlvect_2(U_7120,U_7121) )
| ~ l1_rlvect_1(U_7121)
| v3_struct_0(U_7121) ),
inference(variable_rename,[status(thm)],[f_2806_1]) ).
fof(f_2806_3,plain,
( ! [U_7120,U_7121,U_7119] :
( k8_funct_2(u1_struct_0(U_7121),k1_numbers,U_7120,U_7119) = np__0
| r2_hidden(U_7119,k10_rlvect_2(U_7121,U_7120))
| ~ sP1285(U_7120,U_7121,U_7119) )
& ! [U_7120,U_7121,U_7119] :
( ~ r2_hidden(U_7119,k10_rlvect_2(U_7121,U_7120))
| k8_funct_2(u1_struct_0(U_7121),k1_numbers,U_7120,U_7119) != np__0
| ~ sP1285(U_7120,U_7121,U_7119) )
& ! [U_7120,U_7121,U_7119] :
( sP1285(U_7120,U_7121,U_7119)
| ~ m1_subset_1(U_7119,u1_struct_0(U_7121))
| ~ m1_rlvect_2(U_7120,U_7121)
| ~ l1_rlvect_1(U_7121)
| v3_struct_0(U_7121) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1285])],[f_2806_2]) ).
cnf(f_2806_4,plain,
( sP1285(U_7120,U_7121,U_7119)
| ~ m1_subset_1(U_7119,u1_struct_0(U_7121))
| ~ m1_rlvect_2(U_7120,U_7121)
| ~ l1_rlvect_1(U_7121)
| v3_struct_0(U_7121) ),
inference(clausify,[status(thm)],[f_2806_3]) ).
cnf(f_2806_5,plain,
( ~ r2_hidden(U_7119,k10_rlvect_2(U_7121,U_7120))
| k8_funct_2(u1_struct_0(U_7121),k1_numbers,U_7120,U_7119) != np__0
| ~ sP1285(U_7120,U_7121,U_7119) ),
inference(clausify,[status(thm)],[f_2806_3]) ).
cnf(f_2806_6,plain,
( k8_funct_2(u1_struct_0(U_7121),k1_numbers,U_7120,U_7119) = np__0
| r2_hidden(U_7119,k10_rlvect_2(U_7121,U_7120))
| ~ sP1285(U_7120,U_7121,U_7119) ),
inference(clausify,[status(thm)],[f_2806_3]) ).
fof(f_2807_1,plain,
! [A] :
( ! [B] :
( ( ( B = k11_rlvect_2(A)
| k10_rlvect_2(A,B) != k1_xboole_0 )
& ( k10_rlvect_2(A,B) = k1_xboole_0
| B != k11_rlvect_2(A) ) )
| ~ m1_rlvect_2(B,A) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d7_rlvect_2]) ).
fof(f_2807_2,plain,
! [U_7123] :
( ! [U_7122] :
( ( ( U_7122 = k11_rlvect_2(U_7123)
| k10_rlvect_2(U_7123,U_7122) != k1_xboole_0 )
& ( k10_rlvect_2(U_7123,U_7122) = k1_xboole_0
| U_7122 != k11_rlvect_2(U_7123) ) )
| ~ m1_rlvect_2(U_7122,U_7123) )
| ~ l1_rlvect_1(U_7123)
| v3_struct_0(U_7123) ),
inference(variable_rename,[status(thm)],[f_2807_1]) ).
fof(f_2807_3,plain,
( ! [U_7123,U_7122] :
( U_7122 = k11_rlvect_2(U_7123)
| k10_rlvect_2(U_7123,U_7122) != k1_xboole_0
| ~ sP1286(U_7123,U_7122) )
& ! [U_7123,U_7122] :
( k10_rlvect_2(U_7123,U_7122) = k1_xboole_0
| U_7122 != k11_rlvect_2(U_7123)
| ~ sP1286(U_7123,U_7122) )
& ! [U_7123,U_7122] :
( sP1286(U_7123,U_7122)
| ~ m1_rlvect_2(U_7122,U_7123)
| ~ l1_rlvect_1(U_7123)
| v3_struct_0(U_7123) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1286])],[f_2807_2]) ).
cnf(f_2807_4,plain,
( sP1286(U_7123,U_7122)
| ~ m1_rlvect_2(U_7122,U_7123)
| ~ l1_rlvect_1(U_7123)
| v3_struct_0(U_7123) ),
inference(clausify,[status(thm)],[f_2807_3]) ).
cnf(f_2807_5,plain,
( k10_rlvect_2(U_7123,U_7122) = k1_xboole_0
| U_7122 != k11_rlvect_2(U_7123)
| ~ sP1286(U_7123,U_7122) ),
inference(clausify,[status(thm)],[f_2807_3]) ).
cnf(f_2807_6,plain,
( U_7122 = k11_rlvect_2(U_7123)
| k10_rlvect_2(U_7123,U_7122) != k1_xboole_0
| ~ sP1286(U_7123,U_7122) ),
inference(clausify,[status(thm)],[f_2807_3]) ).
fof(f_2808_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_rlvect_2]) ).
fof(f_2808_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2808_1]) ).
cnf(f_2808_3,plain,
$true,
inference(clausify,[status(thm)],[f_2808_2]) ).
fof(f_2809_1,plain,
! [A] :
( ! [B] :
( k8_funct_2(u1_struct_0(A),k1_numbers,k11_rlvect_2(A),B) = np__0
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t30_rlvect_2]) ).
fof(f_2809_2,plain,
! [U_7125] :
( ! [U_7124] :
( k8_funct_2(u1_struct_0(U_7125),k1_numbers,k11_rlvect_2(U_7125),U_7124) = np__0
| ~ m1_subset_1(U_7124,u1_struct_0(U_7125)) )
| ~ l1_rlvect_1(U_7125)
| v3_struct_0(U_7125) ),
inference(variable_rename,[status(thm)],[f_2809_1]) ).
fof(f_2809_3,plain,
! [U_7125,U_7124] :
( k8_funct_2(u1_struct_0(U_7125),k1_numbers,k11_rlvect_2(U_7125),U_7124) = np__0
| ~ m1_subset_1(U_7124,u1_struct_0(U_7125))
| ~ l1_rlvect_1(U_7125)
| v3_struct_0(U_7125) ),
inference(definitional_conversion,[status(esa)],[f_2809_2]) ).
cnf(f_2809_4,plain,
( k8_funct_2(u1_struct_0(U_7125),k1_numbers,k11_rlvect_2(U_7125),U_7124) = np__0
| ~ m1_subset_1(U_7124,u1_struct_0(U_7125))
| ~ l1_rlvect_1(U_7125)
| v3_struct_0(U_7125) ),
inference(clausify,[status(thm)],[f_2809_3]) ).
fof(f_2810_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( m2_rlvect_2(C,A,B)
| ~ r1_tarski(k10_rlvect_2(A,C),B) )
& ( r1_tarski(k10_rlvect_2(A,C),B)
| ~ m2_rlvect_2(C,A,B) ) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d8_rlvect_2]) ).
fof(f_2810_2,plain,
! [U_7128] :
( ! [U_7127] :
( ! [U_7126] :
( ( ( m2_rlvect_2(U_7126,U_7128,U_7127)
| ~ r1_tarski(k10_rlvect_2(U_7128,U_7126),U_7127) )
& ( r1_tarski(k10_rlvect_2(U_7128,U_7126),U_7127)
| ~ m2_rlvect_2(U_7126,U_7128,U_7127) ) )
| ~ m1_rlvect_2(U_7126,U_7128) )
| ~ m1_subset_1(U_7127,k1_zfmisc_1(u1_struct_0(U_7128))) )
| ~ l1_rlvect_1(U_7128)
| v3_struct_0(U_7128) ),
inference(variable_rename,[status(thm)],[f_2810_1]) ).
fof(f_2810_3,plain,
( ! [U_7127,U_7126,U_7128] :
( m2_rlvect_2(U_7126,U_7128,U_7127)
| ~ r1_tarski(k10_rlvect_2(U_7128,U_7126),U_7127)
| ~ sP1287(U_7127,U_7126,U_7128) )
& ! [U_7127,U_7126,U_7128] :
( r1_tarski(k10_rlvect_2(U_7128,U_7126),U_7127)
| ~ m2_rlvect_2(U_7126,U_7128,U_7127)
| ~ sP1287(U_7127,U_7126,U_7128) )
& ! [U_7127,U_7126,U_7128] :
( sP1287(U_7127,U_7126,U_7128)
| ~ m1_rlvect_2(U_7126,U_7128)
| ~ m1_subset_1(U_7127,k1_zfmisc_1(u1_struct_0(U_7128)))
| ~ l1_rlvect_1(U_7128)
| v3_struct_0(U_7128) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1287])],[f_2810_2]) ).
cnf(f_2810_4,plain,
( sP1287(U_7127,U_7126,U_7128)
| ~ m1_rlvect_2(U_7126,U_7128)
| ~ m1_subset_1(U_7127,k1_zfmisc_1(u1_struct_0(U_7128)))
| ~ l1_rlvect_1(U_7128)
| v3_struct_0(U_7128) ),
inference(clausify,[status(thm)],[f_2810_3]) ).
cnf(f_2810_5,plain,
( r1_tarski(k10_rlvect_2(U_7128,U_7126),U_7127)
| ~ m2_rlvect_2(U_7126,U_7128,U_7127)
| ~ sP1287(U_7127,U_7126,U_7128) ),
inference(clausify,[status(thm)],[f_2810_3]) ).
cnf(f_2810_6,plain,
( m2_rlvect_2(U_7126,U_7128,U_7127)
| ~ r1_tarski(k10_rlvect_2(U_7128,U_7126),U_7127)
| ~ sP1287(U_7127,U_7126,U_7128) ),
inference(clausify,[status(thm)],[f_2810_3]) ).
fof(f_2811_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_rlvect_2]) ).
fof(f_2811_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2811_1]) ).
cnf(f_2811_3,plain,
$true,
inference(clausify,[status(thm)],[f_2811_2]) ).
fof(f_2812_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_rlvect_2]) ).
fof(f_2812_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2812_1]) ).
cnf(f_2812_3,plain,
$true,
inference(clausify,[status(thm)],[f_2812_2]) ).
fof(f_2813_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m2_rlvect_2(D,A,C)
| ~ r1_tarski(B,C)
| ~ m2_rlvect_2(D,A,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_rlvect_2]) ).
fof(f_2813_2,plain,
! [U_7132] :
( ! [U_7131] :
( ! [U_7130] :
( ! [U_7129] :
( m2_rlvect_2(U_7129,U_7132,U_7130)
| ~ r1_tarski(U_7131,U_7130)
| ~ m2_rlvect_2(U_7129,U_7132,U_7131) )
| ~ m1_subset_1(U_7130,k1_zfmisc_1(u1_struct_0(U_7132))) )
| ~ m1_subset_1(U_7131,k1_zfmisc_1(u1_struct_0(U_7132))) )
| ~ l2_rlvect_1(U_7132)
| ~ v7_rlvect_1(U_7132)
| ~ v6_rlvect_1(U_7132)
| ~ v5_rlvect_1(U_7132)
| ~ v4_rlvect_1(U_7132)
| ~ v3_rlvect_1(U_7132)
| v3_struct_0(U_7132) ),
inference(variable_rename,[status(thm)],[f_2813_1]) ).
fof(f_2813_3,plain,
! [U_7129,U_7132,U_7131,U_7130] :
( m2_rlvect_2(U_7129,U_7132,U_7130)
| ~ r1_tarski(U_7131,U_7130)
| ~ m2_rlvect_2(U_7129,U_7132,U_7131)
| ~ m1_subset_1(U_7130,k1_zfmisc_1(u1_struct_0(U_7132)))
| ~ m1_subset_1(U_7131,k1_zfmisc_1(u1_struct_0(U_7132)))
| ~ l2_rlvect_1(U_7132)
| ~ v7_rlvect_1(U_7132)
| ~ v6_rlvect_1(U_7132)
| ~ v5_rlvect_1(U_7132)
| ~ v4_rlvect_1(U_7132)
| ~ v3_rlvect_1(U_7132)
| v3_struct_0(U_7132) ),
inference(definitional_conversion,[status(esa)],[f_2813_2]) ).
cnf(f_2813_4,plain,
( m2_rlvect_2(U_7129,U_7132,U_7130)
| ~ r1_tarski(U_7131,U_7130)
| ~ m2_rlvect_2(U_7129,U_7132,U_7131)
| ~ m1_subset_1(U_7130,k1_zfmisc_1(u1_struct_0(U_7132)))
| ~ m1_subset_1(U_7131,k1_zfmisc_1(u1_struct_0(U_7132)))
| ~ l2_rlvect_1(U_7132)
| ~ v7_rlvect_1(U_7132)
| ~ v6_rlvect_1(U_7132)
| ~ v5_rlvect_1(U_7132)
| ~ v4_rlvect_1(U_7132)
| ~ v3_rlvect_1(U_7132)
| v3_struct_0(U_7132) ),
inference(clausify,[status(thm)],[f_2813_3]) ).
fof(f_2814_1,plain,
! [A] :
( ! [B] :
( m2_rlvect_2(k11_rlvect_2(A),A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_rlvect_2]) ).
fof(f_2814_2,plain,
! [U_7134] :
( ! [U_7133] :
( m2_rlvect_2(k11_rlvect_2(U_7134),U_7134,U_7133)
| ~ m1_subset_1(U_7133,k1_zfmisc_1(u1_struct_0(U_7134))) )
| ~ l2_rlvect_1(U_7134)
| ~ v7_rlvect_1(U_7134)
| ~ v6_rlvect_1(U_7134)
| ~ v5_rlvect_1(U_7134)
| ~ v4_rlvect_1(U_7134)
| ~ v3_rlvect_1(U_7134)
| v3_struct_0(U_7134) ),
inference(variable_rename,[status(thm)],[f_2814_1]) ).
fof(f_2814_3,plain,
! [U_7134,U_7133] :
( m2_rlvect_2(k11_rlvect_2(U_7134),U_7134,U_7133)
| ~ m1_subset_1(U_7133,k1_zfmisc_1(u1_struct_0(U_7134)))
| ~ l2_rlvect_1(U_7134)
| ~ v7_rlvect_1(U_7134)
| ~ v6_rlvect_1(U_7134)
| ~ v5_rlvect_1(U_7134)
| ~ v4_rlvect_1(U_7134)
| ~ v3_rlvect_1(U_7134)
| v3_struct_0(U_7134) ),
inference(definitional_conversion,[status(esa)],[f_2814_2]) ).
cnf(f_2814_4,plain,
( m2_rlvect_2(k11_rlvect_2(U_7134),U_7134,U_7133)
| ~ m1_subset_1(U_7133,k1_zfmisc_1(u1_struct_0(U_7134)))
| ~ l2_rlvect_1(U_7134)
| ~ v7_rlvect_1(U_7134)
| ~ v6_rlvect_1(U_7134)
| ~ v5_rlvect_1(U_7134)
| ~ v4_rlvect_1(U_7134)
| ~ v3_rlvect_1(U_7134)
| v3_struct_0(U_7134) ),
inference(clausify,[status(thm)],[f_2814_3]) ).
fof(f_2815_1,plain,
! [A] :
( ! [B] :
( B = k11_rlvect_2(A)
| ~ m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_rlvect_2]) ).
fof(f_2815_2,plain,
! [U_7136] :
( ! [U_7135] :
( U_7135 = k11_rlvect_2(U_7136)
| ~ m2_rlvect_2(U_7135,U_7136,k1_subset_1(u1_struct_0(U_7136))) )
| ~ l2_rlvect_1(U_7136)
| ~ v7_rlvect_1(U_7136)
| ~ v6_rlvect_1(U_7136)
| ~ v5_rlvect_1(U_7136)
| ~ v4_rlvect_1(U_7136)
| ~ v3_rlvect_1(U_7136)
| v3_struct_0(U_7136) ),
inference(variable_rename,[status(thm)],[f_2815_1]) ).
fof(f_2815_3,plain,
! [U_7135,U_7136] :
( U_7135 = k11_rlvect_2(U_7136)
| ~ m2_rlvect_2(U_7135,U_7136,k1_subset_1(u1_struct_0(U_7136)))
| ~ l2_rlvect_1(U_7136)
| ~ v7_rlvect_1(U_7136)
| ~ v6_rlvect_1(U_7136)
| ~ v5_rlvect_1(U_7136)
| ~ v4_rlvect_1(U_7136)
| ~ v3_rlvect_1(U_7136)
| v3_struct_0(U_7136) ),
inference(definitional_conversion,[status(esa)],[f_2815_2]) ).
cnf(f_2815_4,plain,
( U_7135 = k11_rlvect_2(U_7136)
| ~ m2_rlvect_2(U_7135,U_7136,k1_subset_1(u1_struct_0(U_7136)))
| ~ l2_rlvect_1(U_7136)
| ~ v7_rlvect_1(U_7136)
| ~ v6_rlvect_1(U_7136)
| ~ v5_rlvect_1(U_7136)
| ~ v4_rlvect_1(U_7136)
| ~ v3_rlvect_1(U_7136)
| v3_struct_0(U_7136) ),
inference(clausify,[status(thm)],[f_2815_3]) ).
fof(f_2816_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k12_rlvect_2(A,B,C)
| ? [E] :
( k1_funct_1(D,E) != k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E)))
& r2_hidden(E,k1_relat_1(D))
& m2_subset_1(E,k1_numbers,k5_numbers) )
| k3_finseq_1(D) != k3_finseq_1(B) )
& ( ( ! [E] :
( k1_funct_1(D,E) = k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E)))
| ~ r2_hidden(E,k1_relat_1(D))
| ~ m2_subset_1(E,k1_numbers,k5_numbers) )
& k3_finseq_1(D) = k3_finseq_1(B) )
| D != k12_rlvect_2(A,B,C) ) )
| ~ m2_finseq_1(D,u1_struct_0(A)) )
| ~ m2_relset_1(C,u1_struct_0(A),k1_numbers)
| ~ v1_funct_2(C,u1_struct_0(A),k1_numbers)
| ~ v1_funct_1(C) )
| ~ m2_finseq_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_rlvect_2]) ).
fof(f_2816_2,plain,
! [U_7142] :
( ! [U_7141] :
( ! [U_7140] :
( ! [U_7139] :
( ( ( U_7139 = k12_rlvect_2(U_7142,U_7141,U_7140)
| ? [U_7138] :
( k1_funct_1(U_7139,U_7138) != k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7138),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7138)))
& r2_hidden(U_7138,k1_relat_1(U_7139))
& m2_subset_1(U_7138,k1_numbers,k5_numbers) )
| k3_finseq_1(U_7139) != k3_finseq_1(U_7141) )
& ( ( ! [U_7137] :
( k1_funct_1(U_7139,U_7137) = k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137)))
| ~ r2_hidden(U_7137,k1_relat_1(U_7139))
| ~ m2_subset_1(U_7137,k1_numbers,k5_numbers) )
& k3_finseq_1(U_7139) = k3_finseq_1(U_7141) )
| U_7139 != k12_rlvect_2(U_7142,U_7141,U_7140) ) )
| ~ m2_finseq_1(U_7139,u1_struct_0(U_7142)) )
| ~ m2_relset_1(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_2(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_1(U_7140) )
| ~ m2_finseq_1(U_7141,u1_struct_0(U_7142)) )
| ~ l2_rlvect_1(U_7142)
| ~ v7_rlvect_1(U_7142)
| ~ v6_rlvect_1(U_7142)
| ~ v5_rlvect_1(U_7142)
| ~ v4_rlvect_1(U_7142)
| ~ v3_rlvect_1(U_7142)
| v3_struct_0(U_7142) ),
inference(variable_rename,[status(thm)],[f_2816_1]) ).
fof(f_2816_3,plain,
! [U_7142] :
( ! [U_7141] :
( ! [U_7140] :
( ! [U_7139] :
( ( ( U_7139 = k12_rlvect_2(U_7142,U_7141,U_7140)
| ( k1_funct_1(U_7139,sK879(U_7142,U_7141,U_7140,U_7139)) != k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,sK879(U_7142,U_7141,U_7140,U_7139)),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,sK879(U_7142,U_7141,U_7140,U_7139))))
& r2_hidden(sK879(U_7142,U_7141,U_7140,U_7139),k1_relat_1(U_7139))
& m2_subset_1(sK879(U_7142,U_7141,U_7140,U_7139),k1_numbers,k5_numbers) )
| k3_finseq_1(U_7139) != k3_finseq_1(U_7141) )
& ( ( ! [U_7137] :
( k1_funct_1(U_7139,U_7137) = k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137)))
| ~ r2_hidden(U_7137,k1_relat_1(U_7139))
| ~ m2_subset_1(U_7137,k1_numbers,k5_numbers) )
& k3_finseq_1(U_7139) = k3_finseq_1(U_7141) )
| U_7139 != k12_rlvect_2(U_7142,U_7141,U_7140) ) )
| ~ m2_finseq_1(U_7139,u1_struct_0(U_7142)) )
| ~ m2_relset_1(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_2(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_1(U_7140) )
| ~ m2_finseq_1(U_7141,u1_struct_0(U_7142)) )
| ~ l2_rlvect_1(U_7142)
| ~ v7_rlvect_1(U_7142)
| ~ v6_rlvect_1(U_7142)
| ~ v5_rlvect_1(U_7142)
| ~ v4_rlvect_1(U_7142)
| ~ v3_rlvect_1(U_7142)
| v3_struct_0(U_7142) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK879]),skolemize(U_7138,sK879(U_7142,U_7141,U_7140,U_7139))],[f_2816_2]) ).
fof(f_2816_4,plain,
( ! [U_7139,U_7142,U_7141,U_7140] :
( k1_funct_1(U_7139,sK879(U_7142,U_7141,U_7140,U_7139)) != k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,sK879(U_7142,U_7141,U_7140,U_7139)),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,sK879(U_7142,U_7141,U_7140,U_7139))))
| ~ sP1289(U_7139,U_7142,U_7141,U_7140) )
& ! [U_7139,U_7142,U_7141,U_7140] :
( r2_hidden(sK879(U_7142,U_7141,U_7140,U_7139),k1_relat_1(U_7139))
| ~ sP1289(U_7139,U_7142,U_7141,U_7140) )
& ! [U_7139,U_7142,U_7141,U_7140] :
( m2_subset_1(sK879(U_7142,U_7141,U_7140,U_7139),k1_numbers,k5_numbers)
| ~ sP1289(U_7139,U_7142,U_7141,U_7140) )
& ! [U_7137,U_7139,U_7142,U_7141,U_7140] :
( k1_funct_1(U_7139,U_7137) = k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137)))
| ~ r2_hidden(U_7137,k1_relat_1(U_7139))
| ~ m2_subset_1(U_7137,k1_numbers,k5_numbers)
| ~ sP1288(U_7137,U_7139,U_7142,U_7141,U_7140) )
& ! [U_7137,U_7139,U_7142,U_7141,U_7140] :
( k3_finseq_1(U_7139) = k3_finseq_1(U_7141)
| ~ sP1288(U_7137,U_7139,U_7142,U_7141,U_7140) )
& ! [U_7137,U_7139,U_7142,U_7141,U_7140] :
( U_7139 = k12_rlvect_2(U_7142,U_7141,U_7140)
| sP1289(U_7139,U_7142,U_7141,U_7140)
| k3_finseq_1(U_7139) != k3_finseq_1(U_7141)
| ~ sP1290(U_7137,U_7139,U_7142,U_7141,U_7140) )
& ! [U_7137,U_7139,U_7142,U_7141,U_7140] :
( sP1288(U_7137,U_7139,U_7142,U_7141,U_7140)
| U_7139 != k12_rlvect_2(U_7142,U_7141,U_7140)
| ~ sP1290(U_7137,U_7139,U_7142,U_7141,U_7140) )
& ! [U_7137,U_7139,U_7142,U_7141,U_7140] :
( sP1290(U_7137,U_7139,U_7142,U_7141,U_7140)
| ~ m2_finseq_1(U_7139,u1_struct_0(U_7142))
| ~ m2_relset_1(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_2(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_1(U_7140)
| ~ m2_finseq_1(U_7141,u1_struct_0(U_7142))
| ~ l2_rlvect_1(U_7142)
| ~ v7_rlvect_1(U_7142)
| ~ v6_rlvect_1(U_7142)
| ~ v5_rlvect_1(U_7142)
| ~ v4_rlvect_1(U_7142)
| ~ v3_rlvect_1(U_7142)
| v3_struct_0(U_7142) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1288,sP1289,sP1290])],[f_2816_3]) ).
cnf(f_2816_5,plain,
( sP1290(U_7137,U_7139,U_7142,U_7141,U_7140)
| ~ m2_finseq_1(U_7139,u1_struct_0(U_7142))
| ~ m2_relset_1(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_2(U_7140,u1_struct_0(U_7142),k1_numbers)
| ~ v1_funct_1(U_7140)
| ~ m2_finseq_1(U_7141,u1_struct_0(U_7142))
| ~ l2_rlvect_1(U_7142)
| ~ v7_rlvect_1(U_7142)
| ~ v6_rlvect_1(U_7142)
| ~ v5_rlvect_1(U_7142)
| ~ v4_rlvect_1(U_7142)
| ~ v3_rlvect_1(U_7142)
| v3_struct_0(U_7142) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_6,plain,
( sP1288(U_7137,U_7139,U_7142,U_7141,U_7140)
| U_7139 != k12_rlvect_2(U_7142,U_7141,U_7140)
| ~ sP1290(U_7137,U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_7,plain,
( U_7139 = k12_rlvect_2(U_7142,U_7141,U_7140)
| sP1289(U_7139,U_7142,U_7141,U_7140)
| k3_finseq_1(U_7139) != k3_finseq_1(U_7141)
| ~ sP1290(U_7137,U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_8,plain,
( k3_finseq_1(U_7139) = k3_finseq_1(U_7141)
| ~ sP1288(U_7137,U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_9,plain,
( k1_funct_1(U_7139,U_7137) = k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,U_7137)))
| ~ r2_hidden(U_7137,k1_relat_1(U_7139))
| ~ m2_subset_1(U_7137,k1_numbers,k5_numbers)
| ~ sP1288(U_7137,U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_10,plain,
( m2_subset_1(sK879(U_7142,U_7141,U_7140,U_7139),k1_numbers,k5_numbers)
| ~ sP1289(U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_11,plain,
( r2_hidden(sK879(U_7142,U_7141,U_7140,U_7139),k1_relat_1(U_7139))
| ~ sP1289(U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
cnf(f_2816_12,plain,
( k1_funct_1(U_7139,sK879(U_7142,U_7141,U_7140,U_7139)) != k3_rlvect_1(U_7142,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,sK879(U_7142,U_7141,U_7140,U_7139)),k8_funct_2(u1_struct_0(U_7142),k1_numbers,U_7140,k4_finseq_4(k5_numbers,u1_struct_0(U_7142),U_7141,sK879(U_7142,U_7141,U_7140,U_7139))))
| ~ sP1289(U_7139,U_7142,U_7141,U_7140) ),
inference(clausify,[status(thm)],[f_2816_4]) ).
fof(f_2817_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_rlvect_2]) ).
fof(f_2817_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2817_1]) ).
cnf(f_2817_3,plain,
$true,
inference(clausify,[status(thm)],[f_2817_2]) ).
fof(f_2818_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_rlvect_2]) ).
fof(f_2818_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2818_1]) ).
cnf(f_2818_3,plain,
$true,
inference(clausify,[status(thm)],[f_2818_2]) ).
fof(f_2819_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t38_rlvect_2]) ).
fof(f_2819_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2819_1]) ).
cnf(f_2819_3,plain,
$true,
inference(clausify,[status(thm)],[f_2819_2]) ).
fof(f_2820_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_rlvect_2]) ).
fof(f_2820_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2820_1]) ).
cnf(f_2820_3,plain,
$true,
inference(clausify,[status(thm)],[f_2820_2]) ).
fof(f_2821_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_funct_1(k12_rlvect_2(B,D,E),A) = k3_rlvect_1(B,C,k8_funct_2(u1_struct_0(B),k1_numbers,E,C))
| C != k1_funct_1(D,A)
| ~ r2_hidden(A,k1_relat_1(D))
| ~ m2_relset_1(E,u1_struct_0(B),k1_numbers)
| ~ v1_funct_2(E,u1_struct_0(B),k1_numbers)
| ~ v1_funct_1(E) )
| ~ m2_finseq_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ m2_subset_1(A,k1_numbers,k5_numbers) ),
inference(fof_nnf,[status(thm)],[t40_rlvect_2]) ).
fof(f_2821_2,plain,
! [U_7147] :
( ! [U_7146] :
( ! [U_7145] :
( ! [U_7144] :
( ! [U_7143] :
( k1_funct_1(k12_rlvect_2(U_7146,U_7144,U_7143),U_7147) = k3_rlvect_1(U_7146,U_7145,k8_funct_2(u1_struct_0(U_7146),k1_numbers,U_7143,U_7145))
| U_7145 != k1_funct_1(U_7144,U_7147)
| ~ r2_hidden(U_7147,k1_relat_1(U_7144))
| ~ m2_relset_1(U_7143,u1_struct_0(U_7146),k1_numbers)
| ~ v1_funct_2(U_7143,u1_struct_0(U_7146),k1_numbers)
| ~ v1_funct_1(U_7143) )
| ~ m2_finseq_1(U_7144,u1_struct_0(U_7146)) )
| ~ m1_subset_1(U_7145,u1_struct_0(U_7146)) )
| ~ l2_rlvect_1(U_7146)
| ~ v7_rlvect_1(U_7146)
| ~ v6_rlvect_1(U_7146)
| ~ v5_rlvect_1(U_7146)
| ~ v4_rlvect_1(U_7146)
| ~ v3_rlvect_1(U_7146)
| v3_struct_0(U_7146) )
| ~ m2_subset_1(U_7147,k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[f_2821_1]) ).
fof(f_2821_3,plain,
! [U_7147,U_7143,U_7145,U_7146,U_7144] :
( k1_funct_1(k12_rlvect_2(U_7146,U_7144,U_7143),U_7147) = k3_rlvect_1(U_7146,U_7145,k8_funct_2(u1_struct_0(U_7146),k1_numbers,U_7143,U_7145))
| U_7145 != k1_funct_1(U_7144,U_7147)
| ~ r2_hidden(U_7147,k1_relat_1(U_7144))
| ~ m2_relset_1(U_7143,u1_struct_0(U_7146),k1_numbers)
| ~ v1_funct_2(U_7143,u1_struct_0(U_7146),k1_numbers)
| ~ v1_funct_1(U_7143)
| ~ m2_finseq_1(U_7144,u1_struct_0(U_7146))
| ~ m1_subset_1(U_7145,u1_struct_0(U_7146))
| ~ l2_rlvect_1(U_7146)
| ~ v7_rlvect_1(U_7146)
| ~ v6_rlvect_1(U_7146)
| ~ v5_rlvect_1(U_7146)
| ~ v4_rlvect_1(U_7146)
| ~ v3_rlvect_1(U_7146)
| v3_struct_0(U_7146)
| ~ m2_subset_1(U_7147,k1_numbers,k5_numbers) ),
inference(definitional_conversion,[status(esa)],[f_2821_2]) ).
cnf(f_2821_4,plain,
( k1_funct_1(k12_rlvect_2(U_7146,U_7144,U_7143),U_7147) = k3_rlvect_1(U_7146,U_7145,k8_funct_2(u1_struct_0(U_7146),k1_numbers,U_7143,U_7145))
| U_7145 != k1_funct_1(U_7144,U_7147)
| ~ r2_hidden(U_7147,k1_relat_1(U_7144))
| ~ m2_relset_1(U_7143,u1_struct_0(U_7146),k1_numbers)
| ~ v1_funct_2(U_7143,u1_struct_0(U_7146),k1_numbers)
| ~ v1_funct_1(U_7143)
| ~ m2_finseq_1(U_7144,u1_struct_0(U_7146))
| ~ m1_subset_1(U_7145,u1_struct_0(U_7146))
| ~ l2_rlvect_1(U_7146)
| ~ v7_rlvect_1(U_7146)
| ~ v6_rlvect_1(U_7146)
| ~ v5_rlvect_1(U_7146)
| ~ v4_rlvect_1(U_7146)
| ~ v3_rlvect_1(U_7146)
| v3_struct_0(U_7146)
| ~ m2_subset_1(U_7147,k1_numbers,k5_numbers) ),
inference(clausify,[status(thm)],[f_2821_3]) ).
fof(f_2822_1,plain,
! [A] :
( ! [B] :
( k12_rlvect_2(A,k6_finseq_1(u1_struct_0(A)),B) = k6_finseq_1(u1_struct_0(A))
| ~ m2_relset_1(B,u1_struct_0(A),k1_numbers)
| ~ v1_funct_2(B,u1_struct_0(A),k1_numbers)
| ~ v1_funct_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_rlvect_2]) ).
fof(f_2822_2,plain,
! [U_7149] :
( ! [U_7148] :
( k12_rlvect_2(U_7149,k6_finseq_1(u1_struct_0(U_7149)),U_7148) = k6_finseq_1(u1_struct_0(U_7149))
| ~ m2_relset_1(U_7148,u1_struct_0(U_7149),k1_numbers)
| ~ v1_funct_2(U_7148,u1_struct_0(U_7149),k1_numbers)
| ~ v1_funct_1(U_7148) )
| ~ l2_rlvect_1(U_7149)
| ~ v7_rlvect_1(U_7149)
| ~ v6_rlvect_1(U_7149)
| ~ v5_rlvect_1(U_7149)
| ~ v4_rlvect_1(U_7149)
| ~ v3_rlvect_1(U_7149)
| v3_struct_0(U_7149) ),
inference(variable_rename,[status(thm)],[f_2822_1]) ).
fof(f_2822_3,plain,
! [U_7148,U_7149] :
( k12_rlvect_2(U_7149,k6_finseq_1(u1_struct_0(U_7149)),U_7148) = k6_finseq_1(u1_struct_0(U_7149))
| ~ m2_relset_1(U_7148,u1_struct_0(U_7149),k1_numbers)
| ~ v1_funct_2(U_7148,u1_struct_0(U_7149),k1_numbers)
| ~ v1_funct_1(U_7148)
| ~ l2_rlvect_1(U_7149)
| ~ v7_rlvect_1(U_7149)
| ~ v6_rlvect_1(U_7149)
| ~ v5_rlvect_1(U_7149)
| ~ v4_rlvect_1(U_7149)
| ~ v3_rlvect_1(U_7149)
| v3_struct_0(U_7149) ),
inference(definitional_conversion,[status(esa)],[f_2822_2]) ).
cnf(f_2822_4,plain,
( k12_rlvect_2(U_7149,k6_finseq_1(u1_struct_0(U_7149)),U_7148) = k6_finseq_1(u1_struct_0(U_7149))
| ~ m2_relset_1(U_7148,u1_struct_0(U_7149),k1_numbers)
| ~ v1_funct_2(U_7148,u1_struct_0(U_7149),k1_numbers)
| ~ v1_funct_1(U_7148)
| ~ l2_rlvect_1(U_7149)
| ~ v7_rlvect_1(U_7149)
| ~ v6_rlvect_1(U_7149)
| ~ v5_rlvect_1(U_7149)
| ~ v4_rlvect_1(U_7149)
| ~ v3_rlvect_1(U_7149)
| v3_struct_0(U_7149) ),
inference(clausify,[status(thm)],[f_2822_3]) ).
fof(f_2823_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k12_rlvect_2(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)))
| ~ m2_relset_1(C,u1_struct_0(A),k1_numbers)
| ~ v1_funct_2(C,u1_struct_0(A),k1_numbers)
| ~ v1_funct_1(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_rlvect_2]) ).
fof(f_2823_2,plain,
! [U_7152] :
( ! [U_7151] :
( ! [U_7150] :
( k12_rlvect_2(U_7152,k12_finseq_1(u1_struct_0(U_7152),U_7151),U_7150) = k12_finseq_1(u1_struct_0(U_7152),k3_rlvect_1(U_7152,U_7151,k8_funct_2(u1_struct_0(U_7152),k1_numbers,U_7150,U_7151)))
| ~ m2_relset_1(U_7150,u1_struct_0(U_7152),k1_numbers)
| ~ v1_funct_2(U_7150,u1_struct_0(U_7152),k1_numbers)
| ~ v1_funct_1(U_7150) )
| ~ m1_subset_1(U_7151,u1_struct_0(U_7152)) )
| ~ l2_rlvect_1(U_7152)
| ~ v7_rlvect_1(U_7152)
| ~ v6_rlvect_1(U_7152)
| ~ v5_rlvect_1(U_7152)
| ~ v4_rlvect_1(U_7152)
| ~ v3_rlvect_1(U_7152)
| v3_struct_0(U_7152) ),
inference(variable_rename,[status(thm)],[f_2823_1]) ).
fof(f_2823_3,plain,
! [U_7151,U_7152,U_7150] :
( k12_rlvect_2(U_7152,k12_finseq_1(u1_struct_0(U_7152),U_7151),U_7150) = k12_finseq_1(u1_struct_0(U_7152),k3_rlvect_1(U_7152,U_7151,k8_funct_2(u1_struct_0(U_7152),k1_numbers,U_7150,U_7151)))
| ~ m2_relset_1(U_7150,u1_struct_0(U_7152),k1_numbers)
| ~ v1_funct_2(U_7150,u1_struct_0(U_7152),k1_numbers)
| ~ v1_funct_1(U_7150)
| ~ m1_subset_1(U_7151,u1_struct_0(U_7152))
| ~ l2_rlvect_1(U_7152)
| ~ v7_rlvect_1(U_7152)
| ~ v6_rlvect_1(U_7152)
| ~ v5_rlvect_1(U_7152)
| ~ v4_rlvect_1(U_7152)
| ~ v3_rlvect_1(U_7152)
| v3_struct_0(U_7152) ),
inference(definitional_conversion,[status(esa)],[f_2823_2]) ).
cnf(f_2823_4,plain,
( k12_rlvect_2(U_7152,k12_finseq_1(u1_struct_0(U_7152),U_7151),U_7150) = k12_finseq_1(u1_struct_0(U_7152),k3_rlvect_1(U_7152,U_7151,k8_funct_2(u1_struct_0(U_7152),k1_numbers,U_7150,U_7151)))
| ~ m2_relset_1(U_7150,u1_struct_0(U_7152),k1_numbers)
| ~ v1_funct_2(U_7150,u1_struct_0(U_7152),k1_numbers)
| ~ v1_funct_1(U_7150)
| ~ m1_subset_1(U_7151,u1_struct_0(U_7152))
| ~ l2_rlvect_1(U_7152)
| ~ v7_rlvect_1(U_7152)
| ~ v6_rlvect_1(U_7152)
| ~ v5_rlvect_1(U_7152)
| ~ v4_rlvect_1(U_7152)
| ~ v3_rlvect_1(U_7152)
| v3_struct_0(U_7152) ),
inference(clausify,[status(thm)],[f_2823_3]) ).
fof(f_2824_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k12_rlvect_2(A,k2_finseq_4(u1_struct_0(A),B,C),D) = k2_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))
| ~ m2_relset_1(D,u1_struct_0(A),k1_numbers)
| ~ v1_funct_2(D,u1_struct_0(A),k1_numbers)
| ~ v1_funct_1(D) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_rlvect_2]) ).
fof(f_2824_2,plain,
! [U_7156] :
( ! [U_7155] :
( ! [U_7154] :
( ! [U_7153] :
( k12_rlvect_2(U_7156,k2_finseq_4(u1_struct_0(U_7156),U_7155,U_7154),U_7153) = k2_finseq_4(u1_struct_0(U_7156),k3_rlvect_1(U_7156,U_7155,k8_funct_2(u1_struct_0(U_7156),k1_numbers,U_7153,U_7155)),k3_rlvect_1(U_7156,U_7154,k8_funct_2(u1_struct_0(U_7156),k1_numbers,U_7153,U_7154)))
| ~ m2_relset_1(U_7153,u1_struct_0(U_7156),k1_numbers)
| ~ v1_funct_2(U_7153,u1_struct_0(U_7156),k1_numbers)
| ~ v1_funct_1(U_7153) )
| ~ m1_subset_1(U_7154,u1_struct_0(U_7156)) )
| ~ m1_subset_1(U_7155,u1_struct_0(U_7156)) )
| ~ l2_rlvect_1(U_7156)
| ~ v7_rlvect_1(U_7156)
| ~ v6_rlvect_1(U_7156)
| ~ v5_rlvect_1(U_7156)
| ~ v4_rlvect_1(U_7156)
| ~ v3_rlvect_1(U_7156)
| v3_struct_0(U_7156) ),
inference(variable_rename,[status(thm)],[f_2824_1]) ).
fof(f_2824_3,plain,
! [U_7155,U_7154,U_7153,U_7156] :
( k12_rlvect_2(U_7156,k2_finseq_4(u1_struct_0(U_7156),U_7155,U_7154),U_7153) = k2_finseq_4(u1_struct_0(U_7156),k3_rlvect_1(U_7156,U_7155,k8_funct_2(u1_struct_0(U_7156),k1_numbers,U_7153,U_7155)),k3_rlvect_1(U_7156,U_7154,k8_funct_2(u1_struct_0(U_7156),k1_numbers,U_7153,U_7154)))
| ~ m2_relset_1(U_7153,u1_struct_0(U_7156),k1_numbers)
| ~ v1_funct_2(U_7153,u1_struct_0(U_7156),k1_numbers)
| ~ v1_funct_1(U_7153)
| ~ m1_subset_1(U_7154,u1_struct_0(U_7156))
| ~ m1_subset_1(U_7155,u1_struct_0(U_7156))
| ~ l2_rlvect_1(U_7156)
| ~ v7_rlvect_1(U_7156)
| ~ v6_rlvect_1(U_7156)
| ~ v5_rlvect_1(U_7156)
| ~ v4_rlvect_1(U_7156)
| ~ v3_rlvect_1(U_7156)
| v3_struct_0(U_7156) ),
inference(definitional_conversion,[status(esa)],[f_2824_2]) ).
cnf(f_2824_4,plain,
( k12_rlvect_2(U_7156,k2_finseq_4(u1_struct_0(U_7156),U_7155,U_7154),U_7153) = k2_finseq_4(u1_struct_0(U_7156),k3_rlvect_1(U_7156,U_7155,k8_funct_2(u1_struct_0(U_7156),k1_numbers,U_7153,U_7155)),k3_rlvect_1(U_7156,U_7154,k8_funct_2(u1_struct_0(U_7156),k1_numbers,U_7153,U_7154)))
| ~ m2_relset_1(U_7153,u1_struct_0(U_7156),k1_numbers)
| ~ v1_funct_2(U_7153,u1_struct_0(U_7156),k1_numbers)
| ~ v1_funct_1(U_7153)
| ~ m1_subset_1(U_7154,u1_struct_0(U_7156))
| ~ m1_subset_1(U_7155,u1_struct_0(U_7156))
| ~ l2_rlvect_1(U_7156)
| ~ v7_rlvect_1(U_7156)
| ~ v6_rlvect_1(U_7156)
| ~ v5_rlvect_1(U_7156)
| ~ v4_rlvect_1(U_7156)
| ~ v3_rlvect_1(U_7156)
| v3_struct_0(U_7156) ),
inference(clausify,[status(thm)],[f_2824_3]) ).
fof(f_2825_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k12_rlvect_2(A,k3_finseq_4(u1_struct_0(A),B,C,D),E) = k3_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,E,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,E,C)),k3_rlvect_1(A,D,k8_funct_2(u1_struct_0(A),k1_numbers,E,D)))
| ~ m2_relset_1(E,u1_struct_0(A),k1_numbers)
| ~ v1_funct_2(E,u1_struct_0(A),k1_numbers)
| ~ v1_funct_1(E) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t44_rlvect_2]) ).
fof(f_2825_2,plain,
! [U_7161] :
( ! [U_7160] :
( ! [U_7159] :
( ! [U_7158] :
( ! [U_7157] :
( k12_rlvect_2(U_7161,k3_finseq_4(u1_struct_0(U_7161),U_7160,U_7159,U_7158),U_7157) = k3_finseq_4(u1_struct_0(U_7161),k3_rlvect_1(U_7161,U_7160,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7160)),k3_rlvect_1(U_7161,U_7159,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7159)),k3_rlvect_1(U_7161,U_7158,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7158)))
| ~ m2_relset_1(U_7157,u1_struct_0(U_7161),k1_numbers)
| ~ v1_funct_2(U_7157,u1_struct_0(U_7161),k1_numbers)
| ~ v1_funct_1(U_7157) )
| ~ m1_subset_1(U_7158,u1_struct_0(U_7161)) )
| ~ m1_subset_1(U_7159,u1_struct_0(U_7161)) )
| ~ m1_subset_1(U_7160,u1_struct_0(U_7161)) )
| ~ l2_rlvect_1(U_7161)
| ~ v7_rlvect_1(U_7161)
| ~ v6_rlvect_1(U_7161)
| ~ v5_rlvect_1(U_7161)
| ~ v4_rlvect_1(U_7161)
| ~ v3_rlvect_1(U_7161)
| v3_struct_0(U_7161) ),
inference(variable_rename,[status(thm)],[f_2825_1]) ).
fof(f_2825_3,plain,
! [U_7159,U_7160,U_7161,U_7157,U_7158] :
( k12_rlvect_2(U_7161,k3_finseq_4(u1_struct_0(U_7161),U_7160,U_7159,U_7158),U_7157) = k3_finseq_4(u1_struct_0(U_7161),k3_rlvect_1(U_7161,U_7160,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7160)),k3_rlvect_1(U_7161,U_7159,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7159)),k3_rlvect_1(U_7161,U_7158,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7158)))
| ~ m2_relset_1(U_7157,u1_struct_0(U_7161),k1_numbers)
| ~ v1_funct_2(U_7157,u1_struct_0(U_7161),k1_numbers)
| ~ v1_funct_1(U_7157)
| ~ m1_subset_1(U_7158,u1_struct_0(U_7161))
| ~ m1_subset_1(U_7159,u1_struct_0(U_7161))
| ~ m1_subset_1(U_7160,u1_struct_0(U_7161))
| ~ l2_rlvect_1(U_7161)
| ~ v7_rlvect_1(U_7161)
| ~ v6_rlvect_1(U_7161)
| ~ v5_rlvect_1(U_7161)
| ~ v4_rlvect_1(U_7161)
| ~ v3_rlvect_1(U_7161)
| v3_struct_0(U_7161) ),
inference(definitional_conversion,[status(esa)],[f_2825_2]) ).
cnf(f_2825_4,plain,
( k12_rlvect_2(U_7161,k3_finseq_4(u1_struct_0(U_7161),U_7160,U_7159,U_7158),U_7157) = k3_finseq_4(u1_struct_0(U_7161),k3_rlvect_1(U_7161,U_7160,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7160)),k3_rlvect_1(U_7161,U_7159,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7159)),k3_rlvect_1(U_7161,U_7158,k8_funct_2(u1_struct_0(U_7161),k1_numbers,U_7157,U_7158)))
| ~ m2_relset_1(U_7157,u1_struct_0(U_7161),k1_numbers)
| ~ v1_funct_2(U_7157,u1_struct_0(U_7161),k1_numbers)
| ~ v1_funct_1(U_7157)
| ~ m1_subset_1(U_7158,u1_struct_0(U_7161))
| ~ m1_subset_1(U_7159,u1_struct_0(U_7161))
| ~ m1_subset_1(U_7160,u1_struct_0(U_7161))
| ~ l2_rlvect_1(U_7161)
| ~ v7_rlvect_1(U_7161)
| ~ v6_rlvect_1(U_7161)
| ~ v5_rlvect_1(U_7161)
| ~ v4_rlvect_1(U_7161)
| ~ v3_rlvect_1(U_7161)
| v3_struct_0(U_7161) ),
inference(clausify,[status(thm)],[f_2825_3]) ).
fof(f_2826_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k13_rlvect_2(A,B)
| ! [D] :
( C != k9_rlvect_1(A,k12_rlvect_2(A,D,B))
| k2_relat_1(D) != k10_rlvect_2(A,B)
| ~ v2_funct_1(D)
| ~ m2_finseq_1(D,u1_struct_0(A)) ) )
& ( ? [D] :
( C = k9_rlvect_1(A,k12_rlvect_2(A,D,B))
& k2_relat_1(D) = k10_rlvect_2(A,B)
& v2_funct_1(D)
& m2_finseq_1(D,u1_struct_0(A)) )
| C != k13_rlvect_2(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d10_rlvect_2]) ).
fof(f_2826_2,plain,
! [U_7166] :
( ! [U_7165] :
( ! [U_7164] :
( ( ( U_7164 = k13_rlvect_2(U_7166,U_7165)
| ! [U_7163] :
( U_7164 != k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,U_7163,U_7165))
| k2_relat_1(U_7163) != k10_rlvect_2(U_7166,U_7165)
| ~ v2_funct_1(U_7163)
| ~ m2_finseq_1(U_7163,u1_struct_0(U_7166)) ) )
& ( ? [U_7162] :
( U_7164 = k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,U_7162,U_7165))
& k2_relat_1(U_7162) = k10_rlvect_2(U_7166,U_7165)
& v2_funct_1(U_7162)
& m2_finseq_1(U_7162,u1_struct_0(U_7166)) )
| U_7164 != k13_rlvect_2(U_7166,U_7165) ) )
| ~ m1_subset_1(U_7164,u1_struct_0(U_7166)) )
| ~ m1_rlvect_2(U_7165,U_7166) )
| ~ l2_rlvect_1(U_7166)
| ~ v7_rlvect_1(U_7166)
| ~ v6_rlvect_1(U_7166)
| ~ v5_rlvect_1(U_7166)
| ~ v4_rlvect_1(U_7166)
| ~ v3_rlvect_1(U_7166)
| v3_struct_0(U_7166) ),
inference(variable_rename,[status(thm)],[f_2826_1]) ).
fof(f_2826_3,plain,
! [U_7166] :
( ! [U_7165] :
( ! [U_7164] :
( ( ( U_7164 = k13_rlvect_2(U_7166,U_7165)
| ! [U_7163] :
( U_7164 != k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,U_7163,U_7165))
| k2_relat_1(U_7163) != k10_rlvect_2(U_7166,U_7165)
| ~ v2_funct_1(U_7163)
| ~ m2_finseq_1(U_7163,u1_struct_0(U_7166)) ) )
& ( ( U_7164 = k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,sK880(U_7166,U_7165,U_7164),U_7165))
& k2_relat_1(sK880(U_7166,U_7165,U_7164)) = k10_rlvect_2(U_7166,U_7165)
& v2_funct_1(sK880(U_7166,U_7165,U_7164))
& m2_finseq_1(sK880(U_7166,U_7165,U_7164),u1_struct_0(U_7166)) )
| U_7164 != k13_rlvect_2(U_7166,U_7165) ) )
| ~ m1_subset_1(U_7164,u1_struct_0(U_7166)) )
| ~ m1_rlvect_2(U_7165,U_7166) )
| ~ l2_rlvect_1(U_7166)
| ~ v7_rlvect_1(U_7166)
| ~ v6_rlvect_1(U_7166)
| ~ v5_rlvect_1(U_7166)
| ~ v4_rlvect_1(U_7166)
| ~ v3_rlvect_1(U_7166)
| v3_struct_0(U_7166) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK880]),skolemize(U_7162,sK880(U_7166,U_7165,U_7164))],[f_2826_2]) ).
fof(f_2826_4,plain,
( ! [U_7165,U_7166,U_7164] :
( U_7164 = k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,sK880(U_7166,U_7165,U_7164),U_7165))
| ~ sP1291(U_7165,U_7166,U_7164) )
& ! [U_7165,U_7166,U_7164] :
( k2_relat_1(sK880(U_7166,U_7165,U_7164)) = k10_rlvect_2(U_7166,U_7165)
| ~ sP1291(U_7165,U_7166,U_7164) )
& ! [U_7165,U_7166,U_7164] :
( v2_funct_1(sK880(U_7166,U_7165,U_7164))
| ~ sP1291(U_7165,U_7166,U_7164) )
& ! [U_7165,U_7166,U_7164] :
( m2_finseq_1(sK880(U_7166,U_7165,U_7164),u1_struct_0(U_7166))
| ~ sP1291(U_7165,U_7166,U_7164) )
& ! [U_7165,U_7166,U_7163,U_7164] :
( U_7164 = k13_rlvect_2(U_7166,U_7165)
| U_7164 != k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,U_7163,U_7165))
| k2_relat_1(U_7163) != k10_rlvect_2(U_7166,U_7165)
| ~ v2_funct_1(U_7163)
| ~ m2_finseq_1(U_7163,u1_struct_0(U_7166))
| ~ sP1292(U_7165,U_7166,U_7163,U_7164) )
& ! [U_7165,U_7166,U_7163,U_7164] :
( sP1291(U_7165,U_7166,U_7164)
| U_7164 != k13_rlvect_2(U_7166,U_7165)
| ~ sP1292(U_7165,U_7166,U_7163,U_7164) )
& ! [U_7165,U_7166,U_7163,U_7164] :
( sP1292(U_7165,U_7166,U_7163,U_7164)
| ~ m1_subset_1(U_7164,u1_struct_0(U_7166))
| ~ m1_rlvect_2(U_7165,U_7166)
| ~ l2_rlvect_1(U_7166)
| ~ v7_rlvect_1(U_7166)
| ~ v6_rlvect_1(U_7166)
| ~ v5_rlvect_1(U_7166)
| ~ v4_rlvect_1(U_7166)
| ~ v3_rlvect_1(U_7166)
| v3_struct_0(U_7166) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1291,sP1292])],[f_2826_3]) ).
cnf(f_2826_5,plain,
( sP1292(U_7165,U_7166,U_7163,U_7164)
| ~ m1_subset_1(U_7164,u1_struct_0(U_7166))
| ~ m1_rlvect_2(U_7165,U_7166)
| ~ l2_rlvect_1(U_7166)
| ~ v7_rlvect_1(U_7166)
| ~ v6_rlvect_1(U_7166)
| ~ v5_rlvect_1(U_7166)
| ~ v4_rlvect_1(U_7166)
| ~ v3_rlvect_1(U_7166)
| v3_struct_0(U_7166) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
cnf(f_2826_6,plain,
( sP1291(U_7165,U_7166,U_7164)
| U_7164 != k13_rlvect_2(U_7166,U_7165)
| ~ sP1292(U_7165,U_7166,U_7163,U_7164) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
cnf(f_2826_7,plain,
( U_7164 = k13_rlvect_2(U_7166,U_7165)
| U_7164 != k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,U_7163,U_7165))
| k2_relat_1(U_7163) != k10_rlvect_2(U_7166,U_7165)
| ~ v2_funct_1(U_7163)
| ~ m2_finseq_1(U_7163,u1_struct_0(U_7166))
| ~ sP1292(U_7165,U_7166,U_7163,U_7164) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
cnf(f_2826_8,plain,
( m2_finseq_1(sK880(U_7166,U_7165,U_7164),u1_struct_0(U_7166))
| ~ sP1291(U_7165,U_7166,U_7164) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
cnf(f_2826_9,plain,
( v2_funct_1(sK880(U_7166,U_7165,U_7164))
| ~ sP1291(U_7165,U_7166,U_7164) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
cnf(f_2826_10,plain,
( k2_relat_1(sK880(U_7166,U_7165,U_7164)) = k10_rlvect_2(U_7166,U_7165)
| ~ sP1291(U_7165,U_7166,U_7164) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
cnf(f_2826_11,plain,
( U_7164 = k9_rlvect_1(U_7166,k12_rlvect_2(U_7166,sK880(U_7166,U_7165,U_7164),U_7165))
| ~ sP1291(U_7165,U_7166,U_7164) ),
inference(clausify,[status(thm)],[f_2826_4]) ).
fof(f_2827_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t45_rlvect_2]) ).
fof(f_2827_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2827_1]) ).
cnf(f_2827_3,plain,
$true,
inference(clausify,[status(thm)],[f_2827_2]) ).
fof(f_2828_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t46_rlvect_2]) ).
fof(f_2828_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2828_1]) ).
cnf(f_2828_3,plain,
$true,
inference(clausify,[status(thm)],[f_2828_2]) ).
fof(f_2829_1,plain,
! [A] :
( ! [B] :
( ( ( ( v1_rlsub_1(B,A)
& B != k1_xboole_0 )
| ? [C] :
( ~ r2_hidden(k13_rlvect_2(A,C),B)
& m2_rlvect_2(C,A,B) ) )
& ( ! [C] :
( r2_hidden(k13_rlvect_2(A,C),B)
| ~ m2_rlvect_2(C,A,B) )
| ~ v1_rlsub_1(B,A)
| B = k1_xboole_0 ) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_rlvect_2]) ).
fof(f_2829_2,plain,
! [U_7170] :
( ! [U_7169] :
( ( ( ( v1_rlsub_1(U_7169,U_7170)
& U_7169 != k1_xboole_0 )
| ? [U_7168] :
( ~ r2_hidden(k13_rlvect_2(U_7170,U_7168),U_7169)
& m2_rlvect_2(U_7168,U_7170,U_7169) ) )
& ( ! [U_7167] :
( r2_hidden(k13_rlvect_2(U_7170,U_7167),U_7169)
| ~ m2_rlvect_2(U_7167,U_7170,U_7169) )
| ~ v1_rlsub_1(U_7169,U_7170)
| U_7169 = k1_xboole_0 ) )
| ~ m1_subset_1(U_7169,k1_zfmisc_1(u1_struct_0(U_7170))) )
| ~ l2_rlvect_1(U_7170)
| ~ v7_rlvect_1(U_7170)
| ~ v6_rlvect_1(U_7170)
| ~ v5_rlvect_1(U_7170)
| ~ v4_rlvect_1(U_7170)
| ~ v3_rlvect_1(U_7170)
| v3_struct_0(U_7170) ),
inference(variable_rename,[status(thm)],[f_2829_1]) ).
fof(f_2829_3,plain,
! [U_7170] :
( ! [U_7169] :
( ( ( ( v1_rlsub_1(U_7169,U_7170)
& U_7169 != k1_xboole_0 )
| ( ~ r2_hidden(k13_rlvect_2(U_7170,sK881(U_7170,U_7169)),U_7169)
& m2_rlvect_2(sK881(U_7170,U_7169),U_7170,U_7169) ) )
& ( ! [U_7167] :
( r2_hidden(k13_rlvect_2(U_7170,U_7167),U_7169)
| ~ m2_rlvect_2(U_7167,U_7170,U_7169) )
| ~ v1_rlsub_1(U_7169,U_7170)
| U_7169 = k1_xboole_0 ) )
| ~ m1_subset_1(U_7169,k1_zfmisc_1(u1_struct_0(U_7170))) )
| ~ l2_rlvect_1(U_7170)
| ~ v7_rlvect_1(U_7170)
| ~ v6_rlvect_1(U_7170)
| ~ v5_rlvect_1(U_7170)
| ~ v4_rlvect_1(U_7170)
| ~ v3_rlvect_1(U_7170)
| v3_struct_0(U_7170) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK881]),skolemize(U_7168,sK881(U_7170,U_7169))],[f_2829_2]) ).
fof(f_2829_4,plain,
( ! [U_7169,U_7170] :
( v1_rlsub_1(U_7169,U_7170)
| ~ sP1294(U_7169,U_7170) )
& ! [U_7169,U_7170] :
( U_7169 != k1_xboole_0
| ~ sP1294(U_7169,U_7170) )
& ! [U_7169,U_7170] :
( ~ r2_hidden(k13_rlvect_2(U_7170,sK881(U_7170,U_7169)),U_7169)
| ~ sP1293(U_7169,U_7170) )
& ! [U_7169,U_7170] :
( m2_rlvect_2(sK881(U_7170,U_7169),U_7170,U_7169)
| ~ sP1293(U_7169,U_7170) )
& ! [U_7169,U_7170,U_7167] :
( sP1294(U_7169,U_7170)
| sP1293(U_7169,U_7170)
| ~ sP1295(U_7169,U_7170,U_7167) )
& ! [U_7169,U_7170,U_7167] :
( r2_hidden(k13_rlvect_2(U_7170,U_7167),U_7169)
| ~ m2_rlvect_2(U_7167,U_7170,U_7169)
| ~ v1_rlsub_1(U_7169,U_7170)
| U_7169 = k1_xboole_0
| ~ sP1295(U_7169,U_7170,U_7167) )
& ! [U_7169,U_7170,U_7167] :
( sP1295(U_7169,U_7170,U_7167)
| ~ m1_subset_1(U_7169,k1_zfmisc_1(u1_struct_0(U_7170)))
| ~ l2_rlvect_1(U_7170)
| ~ v7_rlvect_1(U_7170)
| ~ v6_rlvect_1(U_7170)
| ~ v5_rlvect_1(U_7170)
| ~ v4_rlvect_1(U_7170)
| ~ v3_rlvect_1(U_7170)
| v3_struct_0(U_7170) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1293,sP1294,sP1295])],[f_2829_3]) ).
cnf(f_2829_5,plain,
( sP1295(U_7169,U_7170,U_7167)
| ~ m1_subset_1(U_7169,k1_zfmisc_1(u1_struct_0(U_7170)))
| ~ l2_rlvect_1(U_7170)
| ~ v7_rlvect_1(U_7170)
| ~ v6_rlvect_1(U_7170)
| ~ v5_rlvect_1(U_7170)
| ~ v4_rlvect_1(U_7170)
| ~ v3_rlvect_1(U_7170)
| v3_struct_0(U_7170) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
cnf(f_2829_6,plain,
( r2_hidden(k13_rlvect_2(U_7170,U_7167),U_7169)
| ~ m2_rlvect_2(U_7167,U_7170,U_7169)
| ~ v1_rlsub_1(U_7169,U_7170)
| U_7169 = k1_xboole_0
| ~ sP1295(U_7169,U_7170,U_7167) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
cnf(f_2829_7,plain,
( sP1294(U_7169,U_7170)
| sP1293(U_7169,U_7170)
| ~ sP1295(U_7169,U_7170,U_7167) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
cnf(f_2829_8,plain,
( m2_rlvect_2(sK881(U_7170,U_7169),U_7170,U_7169)
| ~ sP1293(U_7169,U_7170) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
cnf(f_2829_9,plain,
( ~ r2_hidden(k13_rlvect_2(U_7170,sK881(U_7170,U_7169)),U_7169)
| ~ sP1293(U_7169,U_7170) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
cnf(f_2829_10,plain,
( U_7169 != k1_xboole_0
| ~ sP1294(U_7169,U_7170) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
cnf(f_2829_11,plain,
( v1_rlsub_1(U_7169,U_7170)
| ~ sP1294(U_7169,U_7170) ),
inference(clausify,[status(thm)],[f_2829_4]) ).
fof(f_2830_1,plain,
! [A] :
( k13_rlvect_2(A,k11_rlvect_2(A)) = k1_rlvect_1(A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t48_rlvect_2]) ).
fof(f_2830_2,plain,
! [U_7171] :
( k13_rlvect_2(U_7171,k11_rlvect_2(U_7171)) = k1_rlvect_1(U_7171)
| ~ l2_rlvect_1(U_7171)
| ~ v7_rlvect_1(U_7171)
| ~ v6_rlvect_1(U_7171)
| ~ v5_rlvect_1(U_7171)
| ~ v4_rlvect_1(U_7171)
| ~ v3_rlvect_1(U_7171)
| v3_struct_0(U_7171) ),
inference(variable_rename,[status(thm)],[f_2830_1]) ).
fof(f_2830_3,plain,
! [U_7171] :
( k13_rlvect_2(U_7171,k11_rlvect_2(U_7171)) = k1_rlvect_1(U_7171)
| ~ l2_rlvect_1(U_7171)
| ~ v7_rlvect_1(U_7171)
| ~ v6_rlvect_1(U_7171)
| ~ v5_rlvect_1(U_7171)
| ~ v4_rlvect_1(U_7171)
| ~ v3_rlvect_1(U_7171)
| v3_struct_0(U_7171) ),
inference(definitional_conversion,[status(esa)],[f_2830_2]) ).
cnf(f_2830_4,plain,
( k13_rlvect_2(U_7171,k11_rlvect_2(U_7171)) = k1_rlvect_1(U_7171)
| ~ l2_rlvect_1(U_7171)
| ~ v7_rlvect_1(U_7171)
| ~ v6_rlvect_1(U_7171)
| ~ v5_rlvect_1(U_7171)
| ~ v4_rlvect_1(U_7171)
| ~ v3_rlvect_1(U_7171)
| v3_struct_0(U_7171) ),
inference(clausify,[status(thm)],[f_2830_3]) ).
fof(f_2831_1,plain,
! [A] :
( ! [B] :
( k13_rlvect_2(A,B) = k1_rlvect_1(A)
| ~ m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t49_rlvect_2]) ).
fof(f_2831_2,plain,
! [U_7173] :
( ! [U_7172] :
( k13_rlvect_2(U_7173,U_7172) = k1_rlvect_1(U_7173)
| ~ m2_rlvect_2(U_7172,U_7173,k1_subset_1(u1_struct_0(U_7173))) )
| ~ l2_rlvect_1(U_7173)
| ~ v7_rlvect_1(U_7173)
| ~ v6_rlvect_1(U_7173)
| ~ v5_rlvect_1(U_7173)
| ~ v4_rlvect_1(U_7173)
| ~ v3_rlvect_1(U_7173)
| v3_struct_0(U_7173) ),
inference(variable_rename,[status(thm)],[f_2831_1]) ).
fof(f_2831_3,plain,
! [U_7173,U_7172] :
( k13_rlvect_2(U_7173,U_7172) = k1_rlvect_1(U_7173)
| ~ m2_rlvect_2(U_7172,U_7173,k1_subset_1(u1_struct_0(U_7173)))
| ~ l2_rlvect_1(U_7173)
| ~ v7_rlvect_1(U_7173)
| ~ v6_rlvect_1(U_7173)
| ~ v5_rlvect_1(U_7173)
| ~ v4_rlvect_1(U_7173)
| ~ v3_rlvect_1(U_7173)
| v3_struct_0(U_7173) ),
inference(definitional_conversion,[status(esa)],[f_2831_2]) ).
cnf(f_2831_4,plain,
( k13_rlvect_2(U_7173,U_7172) = k1_rlvect_1(U_7173)
| ~ m2_rlvect_2(U_7172,U_7173,k1_subset_1(u1_struct_0(U_7173)))
| ~ l2_rlvect_1(U_7173)
| ~ v7_rlvect_1(U_7173)
| ~ v6_rlvect_1(U_7173)
| ~ v5_rlvect_1(U_7173)
| ~ v4_rlvect_1(U_7173)
| ~ v3_rlvect_1(U_7173)
| v3_struct_0(U_7173) ),
inference(clausify,[status(thm)],[f_2831_3]) ).
fof(f_2832_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))
| ~ m2_rlvect_2(C,A,k7_rlvect_2(A,B)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t50_rlvect_2]) ).
fof(f_2832_2,plain,
! [U_7176] :
( ! [U_7175] :
( ! [U_7174] :
( k13_rlvect_2(U_7176,U_7174) = k3_rlvect_1(U_7176,U_7175,k8_funct_2(u1_struct_0(U_7176),k1_numbers,U_7174,U_7175))
| ~ m2_rlvect_2(U_7174,U_7176,k7_rlvect_2(U_7176,U_7175)) )
| ~ m1_subset_1(U_7175,u1_struct_0(U_7176)) )
| ~ l2_rlvect_1(U_7176)
| ~ v7_rlvect_1(U_7176)
| ~ v6_rlvect_1(U_7176)
| ~ v5_rlvect_1(U_7176)
| ~ v4_rlvect_1(U_7176)
| ~ v3_rlvect_1(U_7176)
| v3_struct_0(U_7176) ),
inference(variable_rename,[status(thm)],[f_2832_1]) ).
fof(f_2832_3,plain,
! [U_7174,U_7175,U_7176] :
( k13_rlvect_2(U_7176,U_7174) = k3_rlvect_1(U_7176,U_7175,k8_funct_2(u1_struct_0(U_7176),k1_numbers,U_7174,U_7175))
| ~ m2_rlvect_2(U_7174,U_7176,k7_rlvect_2(U_7176,U_7175))
| ~ m1_subset_1(U_7175,u1_struct_0(U_7176))
| ~ l2_rlvect_1(U_7176)
| ~ v7_rlvect_1(U_7176)
| ~ v6_rlvect_1(U_7176)
| ~ v5_rlvect_1(U_7176)
| ~ v4_rlvect_1(U_7176)
| ~ v3_rlvect_1(U_7176)
| v3_struct_0(U_7176) ),
inference(definitional_conversion,[status(esa)],[f_2832_2]) ).
cnf(f_2832_4,plain,
( k13_rlvect_2(U_7176,U_7174) = k3_rlvect_1(U_7176,U_7175,k8_funct_2(u1_struct_0(U_7176),k1_numbers,U_7174,U_7175))
| ~ m2_rlvect_2(U_7174,U_7176,k7_rlvect_2(U_7176,U_7175))
| ~ m1_subset_1(U_7175,u1_struct_0(U_7176))
| ~ l2_rlvect_1(U_7176)
| ~ v7_rlvect_1(U_7176)
| ~ v6_rlvect_1(U_7176)
| ~ v5_rlvect_1(U_7176)
| ~ v4_rlvect_1(U_7176)
| ~ v3_rlvect_1(U_7176)
| v3_struct_0(U_7176) ),
inference(clausify,[status(thm)],[f_2832_3]) ).
fof(f_2833_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))
| ~ m2_rlvect_2(D,A,k8_rlvect_2(A,B,C)) )
| B = C
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t51_rlvect_2]) ).
fof(f_2833_2,plain,
! [U_7180] :
( ! [U_7179] :
( ! [U_7178] :
( ! [U_7177] :
( k13_rlvect_2(U_7180,U_7177) = k4_rlvect_1(U_7180,k3_rlvect_1(U_7180,U_7179,k8_funct_2(u1_struct_0(U_7180),k1_numbers,U_7177,U_7179)),k3_rlvect_1(U_7180,U_7178,k8_funct_2(u1_struct_0(U_7180),k1_numbers,U_7177,U_7178)))
| ~ m2_rlvect_2(U_7177,U_7180,k8_rlvect_2(U_7180,U_7179,U_7178)) )
| U_7179 = U_7178
| ~ m1_subset_1(U_7178,u1_struct_0(U_7180)) )
| ~ m1_subset_1(U_7179,u1_struct_0(U_7180)) )
| ~ l2_rlvect_1(U_7180)
| ~ v7_rlvect_1(U_7180)
| ~ v6_rlvect_1(U_7180)
| ~ v5_rlvect_1(U_7180)
| ~ v4_rlvect_1(U_7180)
| ~ v3_rlvect_1(U_7180)
| v3_struct_0(U_7180) ),
inference(variable_rename,[status(thm)],[f_2833_1]) ).
fof(f_2833_3,plain,
! [U_7179,U_7177,U_7178,U_7180] :
( k13_rlvect_2(U_7180,U_7177) = k4_rlvect_1(U_7180,k3_rlvect_1(U_7180,U_7179,k8_funct_2(u1_struct_0(U_7180),k1_numbers,U_7177,U_7179)),k3_rlvect_1(U_7180,U_7178,k8_funct_2(u1_struct_0(U_7180),k1_numbers,U_7177,U_7178)))
| ~ m2_rlvect_2(U_7177,U_7180,k8_rlvect_2(U_7180,U_7179,U_7178))
| U_7179 = U_7178
| ~ m1_subset_1(U_7178,u1_struct_0(U_7180))
| ~ m1_subset_1(U_7179,u1_struct_0(U_7180))
| ~ l2_rlvect_1(U_7180)
| ~ v7_rlvect_1(U_7180)
| ~ v6_rlvect_1(U_7180)
| ~ v5_rlvect_1(U_7180)
| ~ v4_rlvect_1(U_7180)
| ~ v3_rlvect_1(U_7180)
| v3_struct_0(U_7180) ),
inference(definitional_conversion,[status(esa)],[f_2833_2]) ).
cnf(f_2833_4,plain,
( k13_rlvect_2(U_7180,U_7177) = k4_rlvect_1(U_7180,k3_rlvect_1(U_7180,U_7179,k8_funct_2(u1_struct_0(U_7180),k1_numbers,U_7177,U_7179)),k3_rlvect_1(U_7180,U_7178,k8_funct_2(u1_struct_0(U_7180),k1_numbers,U_7177,U_7178)))
| ~ m2_rlvect_2(U_7177,U_7180,k8_rlvect_2(U_7180,U_7179,U_7178))
| U_7179 = U_7178
| ~ m1_subset_1(U_7178,u1_struct_0(U_7180))
| ~ m1_subset_1(U_7179,u1_struct_0(U_7180))
| ~ l2_rlvect_1(U_7180)
| ~ v7_rlvect_1(U_7180)
| ~ v6_rlvect_1(U_7180)
| ~ v5_rlvect_1(U_7180)
| ~ v4_rlvect_1(U_7180)
| ~ v3_rlvect_1(U_7180)
| v3_struct_0(U_7180) ),
inference(clausify,[status(thm)],[f_2833_3]) ).
fof(f_2834_1,plain,
! [A] :
( ! [B] :
( k13_rlvect_2(A,B) = k1_rlvect_1(A)
| k10_rlvect_2(A,B) != k1_xboole_0
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t52_rlvect_2]) ).
fof(f_2834_2,plain,
! [U_7182] :
( ! [U_7181] :
( k13_rlvect_2(U_7182,U_7181) = k1_rlvect_1(U_7182)
| k10_rlvect_2(U_7182,U_7181) != k1_xboole_0
| ~ m1_rlvect_2(U_7181,U_7182) )
| ~ l2_rlvect_1(U_7182)
| ~ v7_rlvect_1(U_7182)
| ~ v6_rlvect_1(U_7182)
| ~ v5_rlvect_1(U_7182)
| ~ v4_rlvect_1(U_7182)
| ~ v3_rlvect_1(U_7182)
| v3_struct_0(U_7182) ),
inference(variable_rename,[status(thm)],[f_2834_1]) ).
fof(f_2834_3,plain,
! [U_7181,U_7182] :
( k13_rlvect_2(U_7182,U_7181) = k1_rlvect_1(U_7182)
| k10_rlvect_2(U_7182,U_7181) != k1_xboole_0
| ~ m1_rlvect_2(U_7181,U_7182)
| ~ l2_rlvect_1(U_7182)
| ~ v7_rlvect_1(U_7182)
| ~ v6_rlvect_1(U_7182)
| ~ v5_rlvect_1(U_7182)
| ~ v4_rlvect_1(U_7182)
| ~ v3_rlvect_1(U_7182)
| v3_struct_0(U_7182) ),
inference(definitional_conversion,[status(esa)],[f_2834_2]) ).
cnf(f_2834_4,plain,
( k13_rlvect_2(U_7182,U_7181) = k1_rlvect_1(U_7182)
| k10_rlvect_2(U_7182,U_7181) != k1_xboole_0
| ~ m1_rlvect_2(U_7181,U_7182)
| ~ l2_rlvect_1(U_7182)
| ~ v7_rlvect_1(U_7182)
| ~ v6_rlvect_1(U_7182)
| ~ v5_rlvect_1(U_7182)
| ~ v4_rlvect_1(U_7182)
| ~ v3_rlvect_1(U_7182)
| v3_struct_0(U_7182) ),
inference(clausify,[status(thm)],[f_2834_3]) ).
fof(f_2835_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))
| k10_rlvect_2(A,C) != k7_rlvect_2(A,B)
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t53_rlvect_2]) ).
fof(f_2835_2,plain,
! [U_7185] :
( ! [U_7184] :
( ! [U_7183] :
( k13_rlvect_2(U_7185,U_7183) = k3_rlvect_1(U_7185,U_7184,k8_funct_2(u1_struct_0(U_7185),k1_numbers,U_7183,U_7184))
| k10_rlvect_2(U_7185,U_7183) != k7_rlvect_2(U_7185,U_7184)
| ~ m1_rlvect_2(U_7183,U_7185) )
| ~ m1_subset_1(U_7184,u1_struct_0(U_7185)) )
| ~ l2_rlvect_1(U_7185)
| ~ v7_rlvect_1(U_7185)
| ~ v6_rlvect_1(U_7185)
| ~ v5_rlvect_1(U_7185)
| ~ v4_rlvect_1(U_7185)
| ~ v3_rlvect_1(U_7185)
| v3_struct_0(U_7185) ),
inference(variable_rename,[status(thm)],[f_2835_1]) ).
fof(f_2835_3,plain,
! [U_7185,U_7184,U_7183] :
( k13_rlvect_2(U_7185,U_7183) = k3_rlvect_1(U_7185,U_7184,k8_funct_2(u1_struct_0(U_7185),k1_numbers,U_7183,U_7184))
| k10_rlvect_2(U_7185,U_7183) != k7_rlvect_2(U_7185,U_7184)
| ~ m1_rlvect_2(U_7183,U_7185)
| ~ m1_subset_1(U_7184,u1_struct_0(U_7185))
| ~ l2_rlvect_1(U_7185)
| ~ v7_rlvect_1(U_7185)
| ~ v6_rlvect_1(U_7185)
| ~ v5_rlvect_1(U_7185)
| ~ v4_rlvect_1(U_7185)
| ~ v3_rlvect_1(U_7185)
| v3_struct_0(U_7185) ),
inference(definitional_conversion,[status(esa)],[f_2835_2]) ).
cnf(f_2835_4,plain,
( k13_rlvect_2(U_7185,U_7183) = k3_rlvect_1(U_7185,U_7184,k8_funct_2(u1_struct_0(U_7185),k1_numbers,U_7183,U_7184))
| k10_rlvect_2(U_7185,U_7183) != k7_rlvect_2(U_7185,U_7184)
| ~ m1_rlvect_2(U_7183,U_7185)
| ~ m1_subset_1(U_7184,u1_struct_0(U_7185))
| ~ l2_rlvect_1(U_7185)
| ~ v7_rlvect_1(U_7185)
| ~ v6_rlvect_1(U_7185)
| ~ v5_rlvect_1(U_7185)
| ~ v4_rlvect_1(U_7185)
| ~ v3_rlvect_1(U_7185)
| v3_struct_0(U_7185) ),
inference(clausify,[status(thm)],[f_2835_3]) ).
fof(f_2836_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))
| B = C
| k10_rlvect_2(A,D) != k8_rlvect_2(A,B,C)
| ~ m1_rlvect_2(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t54_rlvect_2]) ).
fof(f_2836_2,plain,
! [U_7189] :
( ! [U_7188] :
( ! [U_7187] :
( ! [U_7186] :
( k13_rlvect_2(U_7189,U_7186) = k4_rlvect_1(U_7189,k3_rlvect_1(U_7189,U_7188,k8_funct_2(u1_struct_0(U_7189),k1_numbers,U_7186,U_7188)),k3_rlvect_1(U_7189,U_7187,k8_funct_2(u1_struct_0(U_7189),k1_numbers,U_7186,U_7187)))
| U_7188 = U_7187
| k10_rlvect_2(U_7189,U_7186) != k8_rlvect_2(U_7189,U_7188,U_7187)
| ~ m1_rlvect_2(U_7186,U_7189) )
| ~ m1_subset_1(U_7187,u1_struct_0(U_7189)) )
| ~ m1_subset_1(U_7188,u1_struct_0(U_7189)) )
| ~ l2_rlvect_1(U_7189)
| ~ v7_rlvect_1(U_7189)
| ~ v6_rlvect_1(U_7189)
| ~ v5_rlvect_1(U_7189)
| ~ v4_rlvect_1(U_7189)
| ~ v3_rlvect_1(U_7189)
| v3_struct_0(U_7189) ),
inference(variable_rename,[status(thm)],[f_2836_1]) ).
fof(f_2836_3,plain,
! [U_7187,U_7186,U_7189,U_7188] :
( k13_rlvect_2(U_7189,U_7186) = k4_rlvect_1(U_7189,k3_rlvect_1(U_7189,U_7188,k8_funct_2(u1_struct_0(U_7189),k1_numbers,U_7186,U_7188)),k3_rlvect_1(U_7189,U_7187,k8_funct_2(u1_struct_0(U_7189),k1_numbers,U_7186,U_7187)))
| U_7188 = U_7187
| k10_rlvect_2(U_7189,U_7186) != k8_rlvect_2(U_7189,U_7188,U_7187)
| ~ m1_rlvect_2(U_7186,U_7189)
| ~ m1_subset_1(U_7187,u1_struct_0(U_7189))
| ~ m1_subset_1(U_7188,u1_struct_0(U_7189))
| ~ l2_rlvect_1(U_7189)
| ~ v7_rlvect_1(U_7189)
| ~ v6_rlvect_1(U_7189)
| ~ v5_rlvect_1(U_7189)
| ~ v4_rlvect_1(U_7189)
| ~ v3_rlvect_1(U_7189)
| v3_struct_0(U_7189) ),
inference(definitional_conversion,[status(esa)],[f_2836_2]) ).
cnf(f_2836_4,plain,
( k13_rlvect_2(U_7189,U_7186) = k4_rlvect_1(U_7189,k3_rlvect_1(U_7189,U_7188,k8_funct_2(u1_struct_0(U_7189),k1_numbers,U_7186,U_7188)),k3_rlvect_1(U_7189,U_7187,k8_funct_2(u1_struct_0(U_7189),k1_numbers,U_7186,U_7187)))
| U_7188 = U_7187
| k10_rlvect_2(U_7189,U_7186) != k8_rlvect_2(U_7189,U_7188,U_7187)
| ~ m1_rlvect_2(U_7186,U_7189)
| ~ m1_subset_1(U_7187,u1_struct_0(U_7189))
| ~ m1_subset_1(U_7188,u1_struct_0(U_7189))
| ~ l2_rlvect_1(U_7189)
| ~ v7_rlvect_1(U_7189)
| ~ v6_rlvect_1(U_7189)
| ~ v5_rlvect_1(U_7189)
| ~ v4_rlvect_1(U_7189)
| ~ v3_rlvect_1(U_7189)
| v3_struct_0(U_7189) ),
inference(clausify,[status(thm)],[f_2836_3]) ).
fof(f_2837_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r1_rlvect_2(A,B,C)
| ? [D] :
( k8_funct_2(u1_struct_0(A),k1_numbers,B,D) != k8_funct_2(u1_struct_0(A),k1_numbers,C,D)
& m1_subset_1(D,u1_struct_0(A)) ) )
& ( ! [D] :
( k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = k8_funct_2(u1_struct_0(A),k1_numbers,C,D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ r1_rlvect_2(A,B,C) ) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d11_rlvect_2]) ).
fof(f_2837_2,plain,
! [U_7194] :
( ! [U_7193] :
( ! [U_7192] :
( ( ( r1_rlvect_2(U_7194,U_7193,U_7192)
| ? [U_7191] :
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,U_7191) != k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,U_7191)
& m1_subset_1(U_7191,u1_struct_0(U_7194)) ) )
& ( ! [U_7190] :
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,U_7190) = k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,U_7190)
| ~ m1_subset_1(U_7190,u1_struct_0(U_7194)) )
| ~ r1_rlvect_2(U_7194,U_7193,U_7192) ) )
| ~ m1_rlvect_2(U_7192,U_7194) )
| ~ m1_rlvect_2(U_7193,U_7194) )
| ~ l1_rlvect_1(U_7194)
| v3_struct_0(U_7194) ),
inference(variable_rename,[status(thm)],[f_2837_1]) ).
fof(f_2837_3,plain,
! [U_7194] :
( ! [U_7193] :
( ! [U_7192] :
( ( ( r1_rlvect_2(U_7194,U_7193,U_7192)
| ( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,sK882(U_7194,U_7193,U_7192)) != k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,sK882(U_7194,U_7193,U_7192))
& m1_subset_1(sK882(U_7194,U_7193,U_7192),u1_struct_0(U_7194)) ) )
& ( ! [U_7190] :
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,U_7190) = k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,U_7190)
| ~ m1_subset_1(U_7190,u1_struct_0(U_7194)) )
| ~ r1_rlvect_2(U_7194,U_7193,U_7192) ) )
| ~ m1_rlvect_2(U_7192,U_7194) )
| ~ m1_rlvect_2(U_7193,U_7194) )
| ~ l1_rlvect_1(U_7194)
| v3_struct_0(U_7194) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK882]),skolemize(U_7191,sK882(U_7194,U_7193,U_7192))],[f_2837_2]) ).
fof(f_2837_4,plain,
( ! [U_7194,U_7193,U_7192] :
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,sK882(U_7194,U_7193,U_7192)) != k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,sK882(U_7194,U_7193,U_7192))
| ~ sP1296(U_7194,U_7193,U_7192) )
& ! [U_7194,U_7193,U_7192] :
( m1_subset_1(sK882(U_7194,U_7193,U_7192),u1_struct_0(U_7194))
| ~ sP1296(U_7194,U_7193,U_7192) )
& ! [U_7194,U_7190,U_7193,U_7192] :
( r1_rlvect_2(U_7194,U_7193,U_7192)
| sP1296(U_7194,U_7193,U_7192)
| ~ sP1297(U_7194,U_7190,U_7193,U_7192) )
& ! [U_7194,U_7190,U_7193,U_7192] :
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,U_7190) = k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,U_7190)
| ~ m1_subset_1(U_7190,u1_struct_0(U_7194))
| ~ r1_rlvect_2(U_7194,U_7193,U_7192)
| ~ sP1297(U_7194,U_7190,U_7193,U_7192) )
& ! [U_7194,U_7190,U_7193,U_7192] :
( sP1297(U_7194,U_7190,U_7193,U_7192)
| ~ m1_rlvect_2(U_7192,U_7194)
| ~ m1_rlvect_2(U_7193,U_7194)
| ~ l1_rlvect_1(U_7194)
| v3_struct_0(U_7194) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1296,sP1297])],[f_2837_3]) ).
cnf(f_2837_5,plain,
( sP1297(U_7194,U_7190,U_7193,U_7192)
| ~ m1_rlvect_2(U_7192,U_7194)
| ~ m1_rlvect_2(U_7193,U_7194)
| ~ l1_rlvect_1(U_7194)
| v3_struct_0(U_7194) ),
inference(clausify,[status(thm)],[f_2837_4]) ).
cnf(f_2837_6,plain,
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,U_7190) = k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,U_7190)
| ~ m1_subset_1(U_7190,u1_struct_0(U_7194))
| ~ r1_rlvect_2(U_7194,U_7193,U_7192)
| ~ sP1297(U_7194,U_7190,U_7193,U_7192) ),
inference(clausify,[status(thm)],[f_2837_4]) ).
cnf(f_2837_7,plain,
( r1_rlvect_2(U_7194,U_7193,U_7192)
| sP1296(U_7194,U_7193,U_7192)
| ~ sP1297(U_7194,U_7190,U_7193,U_7192) ),
inference(clausify,[status(thm)],[f_2837_4]) ).
cnf(f_2837_8,plain,
( m1_subset_1(sK882(U_7194,U_7193,U_7192),u1_struct_0(U_7194))
| ~ sP1296(U_7194,U_7193,U_7192) ),
inference(clausify,[status(thm)],[f_2837_4]) ).
cnf(f_2837_9,plain,
( k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7193,sK882(U_7194,U_7193,U_7192)) != k8_funct_2(u1_struct_0(U_7194),k1_numbers,U_7192,sK882(U_7194,U_7193,U_7192))
| ~ sP1296(U_7194,U_7193,U_7192) ),
inference(clausify,[status(thm)],[f_2837_4]) ).
fof(f_2838_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k14_rlvect_2(A,B,C)
| ? [E] :
( k8_funct_2(u1_struct_0(A),k1_numbers,D,E) != k3_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,E))
& m1_subset_1(E,u1_struct_0(A)) ) )
& ( ! [E] :
( k8_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,E))
| ~ m1_subset_1(E,u1_struct_0(A)) )
| D != k14_rlvect_2(A,B,C) ) )
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d12_rlvect_2]) ).
fof(f_2838_2,plain,
! [U_7200] :
( ! [U_7199] :
( ! [U_7198] :
( ! [U_7197] :
( ( ( U_7197 = k14_rlvect_2(U_7200,U_7199,U_7198)
| ? [U_7196] :
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,U_7196) != k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,U_7196),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,U_7196))
& m1_subset_1(U_7196,u1_struct_0(U_7200)) ) )
& ( ! [U_7195] :
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,U_7195) = k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,U_7195),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,U_7195))
| ~ m1_subset_1(U_7195,u1_struct_0(U_7200)) )
| U_7197 != k14_rlvect_2(U_7200,U_7199,U_7198) ) )
| ~ m1_rlvect_2(U_7197,U_7200) )
| ~ m1_rlvect_2(U_7198,U_7200) )
| ~ m1_rlvect_2(U_7199,U_7200) )
| ~ l1_rlvect_1(U_7200)
| v3_struct_0(U_7200) ),
inference(variable_rename,[status(thm)],[f_2838_1]) ).
fof(f_2838_3,plain,
! [U_7200] :
( ! [U_7199] :
( ! [U_7198] :
( ! [U_7197] :
( ( ( U_7197 = k14_rlvect_2(U_7200,U_7199,U_7198)
| ( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,sK883(U_7200,U_7199,U_7198,U_7197)) != k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,sK883(U_7200,U_7199,U_7198,U_7197)),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,sK883(U_7200,U_7199,U_7198,U_7197)))
& m1_subset_1(sK883(U_7200,U_7199,U_7198,U_7197),u1_struct_0(U_7200)) ) )
& ( ! [U_7195] :
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,U_7195) = k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,U_7195),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,U_7195))
| ~ m1_subset_1(U_7195,u1_struct_0(U_7200)) )
| U_7197 != k14_rlvect_2(U_7200,U_7199,U_7198) ) )
| ~ m1_rlvect_2(U_7197,U_7200) )
| ~ m1_rlvect_2(U_7198,U_7200) )
| ~ m1_rlvect_2(U_7199,U_7200) )
| ~ l1_rlvect_1(U_7200)
| v3_struct_0(U_7200) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK883]),skolemize(U_7196,sK883(U_7200,U_7199,U_7198,U_7197))],[f_2838_2]) ).
fof(f_2838_4,plain,
( ! [U_7197,U_7198,U_7199,U_7200] :
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,sK883(U_7200,U_7199,U_7198,U_7197)) != k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,sK883(U_7200,U_7199,U_7198,U_7197)),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,sK883(U_7200,U_7199,U_7198,U_7197)))
| ~ sP1298(U_7197,U_7198,U_7199,U_7200) )
& ! [U_7197,U_7198,U_7199,U_7200] :
( m1_subset_1(sK883(U_7200,U_7199,U_7198,U_7197),u1_struct_0(U_7200))
| ~ sP1298(U_7197,U_7198,U_7199,U_7200) )
& ! [U_7197,U_7195,U_7198,U_7199,U_7200] :
( U_7197 = k14_rlvect_2(U_7200,U_7199,U_7198)
| sP1298(U_7197,U_7198,U_7199,U_7200)
| ~ sP1299(U_7197,U_7195,U_7198,U_7199,U_7200) )
& ! [U_7197,U_7195,U_7198,U_7199,U_7200] :
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,U_7195) = k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,U_7195),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,U_7195))
| ~ m1_subset_1(U_7195,u1_struct_0(U_7200))
| U_7197 != k14_rlvect_2(U_7200,U_7199,U_7198)
| ~ sP1299(U_7197,U_7195,U_7198,U_7199,U_7200) )
& ! [U_7197,U_7195,U_7198,U_7199,U_7200] :
( sP1299(U_7197,U_7195,U_7198,U_7199,U_7200)
| ~ m1_rlvect_2(U_7197,U_7200)
| ~ m1_rlvect_2(U_7198,U_7200)
| ~ m1_rlvect_2(U_7199,U_7200)
| ~ l1_rlvect_1(U_7200)
| v3_struct_0(U_7200) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1298,sP1299])],[f_2838_3]) ).
cnf(f_2838_5,plain,
( sP1299(U_7197,U_7195,U_7198,U_7199,U_7200)
| ~ m1_rlvect_2(U_7197,U_7200)
| ~ m1_rlvect_2(U_7198,U_7200)
| ~ m1_rlvect_2(U_7199,U_7200)
| ~ l1_rlvect_1(U_7200)
| v3_struct_0(U_7200) ),
inference(clausify,[status(thm)],[f_2838_4]) ).
cnf(f_2838_6,plain,
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,U_7195) = k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,U_7195),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,U_7195))
| ~ m1_subset_1(U_7195,u1_struct_0(U_7200))
| U_7197 != k14_rlvect_2(U_7200,U_7199,U_7198)
| ~ sP1299(U_7197,U_7195,U_7198,U_7199,U_7200) ),
inference(clausify,[status(thm)],[f_2838_4]) ).
cnf(f_2838_7,plain,
( U_7197 = k14_rlvect_2(U_7200,U_7199,U_7198)
| sP1298(U_7197,U_7198,U_7199,U_7200)
| ~ sP1299(U_7197,U_7195,U_7198,U_7199,U_7200) ),
inference(clausify,[status(thm)],[f_2838_4]) ).
cnf(f_2838_8,plain,
( m1_subset_1(sK883(U_7200,U_7199,U_7198,U_7197),u1_struct_0(U_7200))
| ~ sP1298(U_7197,U_7198,U_7199,U_7200) ),
inference(clausify,[status(thm)],[f_2838_4]) ).
cnf(f_2838_9,plain,
( k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7197,sK883(U_7200,U_7199,U_7198,U_7197)) != k3_real_1(k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7199,sK883(U_7200,U_7199,U_7198,U_7197)),k8_funct_2(u1_struct_0(U_7200),k1_numbers,U_7198,sK883(U_7200,U_7199,U_7198,U_7197)))
| ~ sP1298(U_7197,U_7198,U_7199,U_7200) ),
inference(clausify,[status(thm)],[f_2838_4]) ).
fof(f_2839_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t55_rlvect_2]) ).
fof(f_2839_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2839_1]) ).
cnf(f_2839_3,plain,
$true,
inference(clausify,[status(thm)],[f_2839_2]) ).
fof(f_2840_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_rlvect_2]) ).
fof(f_2840_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2840_1]) ).
cnf(f_2840_3,plain,
$true,
inference(clausify,[status(thm)],[f_2840_2]) ).
fof(f_2841_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_rlvect_2]) ).
fof(f_2841_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2841_1]) ).
cnf(f_2841_3,plain,
$true,
inference(clausify,[status(thm)],[f_2841_2]) ).
fof(f_2842_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k10_rlvect_2(A,k14_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C)))
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t58_rlvect_2]) ).
fof(f_2842_2,plain,
! [U_7203] :
( ! [U_7202] :
( ! [U_7201] :
( r1_tarski(k10_rlvect_2(U_7203,k14_rlvect_2(U_7203,U_7202,U_7201)),k2_rlvect_2(U_7203,k10_rlvect_2(U_7203,U_7202),k10_rlvect_2(U_7203,U_7201)))
| ~ m1_rlvect_2(U_7201,U_7203) )
| ~ m1_rlvect_2(U_7202,U_7203) )
| ~ l2_rlvect_1(U_7203)
| ~ v7_rlvect_1(U_7203)
| ~ v6_rlvect_1(U_7203)
| ~ v5_rlvect_1(U_7203)
| ~ v4_rlvect_1(U_7203)
| ~ v3_rlvect_1(U_7203)
| v3_struct_0(U_7203) ),
inference(variable_rename,[status(thm)],[f_2842_1]) ).
fof(f_2842_3,plain,
! [U_7202,U_7203,U_7201] :
( r1_tarski(k10_rlvect_2(U_7203,k14_rlvect_2(U_7203,U_7202,U_7201)),k2_rlvect_2(U_7203,k10_rlvect_2(U_7203,U_7202),k10_rlvect_2(U_7203,U_7201)))
| ~ m1_rlvect_2(U_7201,U_7203)
| ~ m1_rlvect_2(U_7202,U_7203)
| ~ l2_rlvect_1(U_7203)
| ~ v7_rlvect_1(U_7203)
| ~ v6_rlvect_1(U_7203)
| ~ v5_rlvect_1(U_7203)
| ~ v4_rlvect_1(U_7203)
| ~ v3_rlvect_1(U_7203)
| v3_struct_0(U_7203) ),
inference(definitional_conversion,[status(esa)],[f_2842_2]) ).
cnf(f_2842_4,plain,
( r1_tarski(k10_rlvect_2(U_7203,k14_rlvect_2(U_7203,U_7202,U_7201)),k2_rlvect_2(U_7203,k10_rlvect_2(U_7203,U_7202),k10_rlvect_2(U_7203,U_7201)))
| ~ m1_rlvect_2(U_7201,U_7203)
| ~ m1_rlvect_2(U_7202,U_7203)
| ~ l2_rlvect_1(U_7203)
| ~ v7_rlvect_1(U_7203)
| ~ v6_rlvect_1(U_7203)
| ~ v5_rlvect_1(U_7203)
| ~ v4_rlvect_1(U_7203)
| ~ v3_rlvect_1(U_7203)
| v3_struct_0(U_7203) ),
inference(clausify,[status(thm)],[f_2842_3]) ).
fof(f_2843_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m2_rlvect_2(k14_rlvect_2(A,C,D),A,B)
| ~ m2_rlvect_2(D,A,B)
| ~ m2_rlvect_2(C,A,B)
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_rlvect_2]) ).
fof(f_2843_2,plain,
! [U_7207] :
( ! [U_7206] :
( ! [U_7205] :
( ! [U_7204] :
( m2_rlvect_2(k14_rlvect_2(U_7207,U_7205,U_7204),U_7207,U_7206)
| ~ m2_rlvect_2(U_7204,U_7207,U_7206)
| ~ m2_rlvect_2(U_7205,U_7207,U_7206)
| ~ m1_rlvect_2(U_7204,U_7207) )
| ~ m1_rlvect_2(U_7205,U_7207) )
| ~ m1_subset_1(U_7206,k1_zfmisc_1(u1_struct_0(U_7207))) )
| ~ l2_rlvect_1(U_7207)
| ~ v7_rlvect_1(U_7207)
| ~ v6_rlvect_1(U_7207)
| ~ v5_rlvect_1(U_7207)
| ~ v4_rlvect_1(U_7207)
| ~ v3_rlvect_1(U_7207)
| v3_struct_0(U_7207) ),
inference(variable_rename,[status(thm)],[f_2843_1]) ).
fof(f_2843_3,plain,
! [U_7206,U_7207,U_7204,U_7205] :
( m2_rlvect_2(k14_rlvect_2(U_7207,U_7205,U_7204),U_7207,U_7206)
| ~ m2_rlvect_2(U_7204,U_7207,U_7206)
| ~ m2_rlvect_2(U_7205,U_7207,U_7206)
| ~ m1_rlvect_2(U_7204,U_7207)
| ~ m1_rlvect_2(U_7205,U_7207)
| ~ m1_subset_1(U_7206,k1_zfmisc_1(u1_struct_0(U_7207)))
| ~ l2_rlvect_1(U_7207)
| ~ v7_rlvect_1(U_7207)
| ~ v6_rlvect_1(U_7207)
| ~ v5_rlvect_1(U_7207)
| ~ v4_rlvect_1(U_7207)
| ~ v3_rlvect_1(U_7207)
| v3_struct_0(U_7207) ),
inference(definitional_conversion,[status(esa)],[f_2843_2]) ).
cnf(f_2843_4,plain,
( m2_rlvect_2(k14_rlvect_2(U_7207,U_7205,U_7204),U_7207,U_7206)
| ~ m2_rlvect_2(U_7204,U_7207,U_7206)
| ~ m2_rlvect_2(U_7205,U_7207,U_7206)
| ~ m1_rlvect_2(U_7204,U_7207)
| ~ m1_rlvect_2(U_7205,U_7207)
| ~ m1_subset_1(U_7206,k1_zfmisc_1(u1_struct_0(U_7207)))
| ~ l2_rlvect_1(U_7207)
| ~ v7_rlvect_1(U_7207)
| ~ v6_rlvect_1(U_7207)
| ~ v5_rlvect_1(U_7207)
| ~ v4_rlvect_1(U_7207)
| ~ v3_rlvect_1(U_7207)
| v3_struct_0(U_7207) ),
inference(clausify,[status(thm)],[f_2843_3]) ).
fof(f_2844_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_2(A,k14_rlvect_2(A,B,C),k14_rlvect_2(A,C,B))
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t60_rlvect_2]) ).
fof(f_2844_2,plain,
! [U_7210] :
( ! [U_7209] :
( ! [U_7208] :
( r1_rlvect_2(U_7210,k14_rlvect_2(U_7210,U_7209,U_7208),k14_rlvect_2(U_7210,U_7208,U_7209))
| ~ m1_rlvect_2(U_7208,U_7210) )
| ~ m1_rlvect_2(U_7209,U_7210) )
| ~ l1_rlvect_1(U_7210)
| v3_struct_0(U_7210) ),
inference(variable_rename,[status(thm)],[f_2844_1]) ).
fof(f_2844_3,plain,
! [U_7208,U_7210,U_7209] :
( r1_rlvect_2(U_7210,k14_rlvect_2(U_7210,U_7209,U_7208),k14_rlvect_2(U_7210,U_7208,U_7209))
| ~ m1_rlvect_2(U_7208,U_7210)
| ~ m1_rlvect_2(U_7209,U_7210)
| ~ l1_rlvect_1(U_7210)
| v3_struct_0(U_7210) ),
inference(definitional_conversion,[status(esa)],[f_2844_2]) ).
cnf(f_2844_4,plain,
( r1_rlvect_2(U_7210,k14_rlvect_2(U_7210,U_7209,U_7208),k14_rlvect_2(U_7210,U_7208,U_7209))
| ~ m1_rlvect_2(U_7208,U_7210)
| ~ m1_rlvect_2(U_7209,U_7210)
| ~ l1_rlvect_1(U_7210)
| v3_struct_0(U_7210) ),
inference(clausify,[status(thm)],[f_2844_3]) ).
fof(f_2845_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_2(A,k14_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k14_rlvect_2(A,B,C),D))
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t61_rlvect_2]) ).
fof(f_2845_2,plain,
! [U_7214] :
( ! [U_7213] :
( ! [U_7212] :
( ! [U_7211] :
( r1_rlvect_2(U_7214,k14_rlvect_2(U_7214,U_7213,k14_rlvect_2(U_7214,U_7212,U_7211)),k14_rlvect_2(U_7214,k14_rlvect_2(U_7214,U_7213,U_7212),U_7211))
| ~ m1_rlvect_2(U_7211,U_7214) )
| ~ m1_rlvect_2(U_7212,U_7214) )
| ~ m1_rlvect_2(U_7213,U_7214) )
| ~ l2_rlvect_1(U_7214)
| ~ v7_rlvect_1(U_7214)
| ~ v6_rlvect_1(U_7214)
| ~ v5_rlvect_1(U_7214)
| ~ v4_rlvect_1(U_7214)
| ~ v3_rlvect_1(U_7214)
| v3_struct_0(U_7214) ),
inference(variable_rename,[status(thm)],[f_2845_1]) ).
fof(f_2845_3,plain,
! [U_7211,U_7212,U_7213,U_7214] :
( r1_rlvect_2(U_7214,k14_rlvect_2(U_7214,U_7213,k14_rlvect_2(U_7214,U_7212,U_7211)),k14_rlvect_2(U_7214,k14_rlvect_2(U_7214,U_7213,U_7212),U_7211))
| ~ m1_rlvect_2(U_7211,U_7214)
| ~ m1_rlvect_2(U_7212,U_7214)
| ~ m1_rlvect_2(U_7213,U_7214)
| ~ l2_rlvect_1(U_7214)
| ~ v7_rlvect_1(U_7214)
| ~ v6_rlvect_1(U_7214)
| ~ v5_rlvect_1(U_7214)
| ~ v4_rlvect_1(U_7214)
| ~ v3_rlvect_1(U_7214)
| v3_struct_0(U_7214) ),
inference(definitional_conversion,[status(esa)],[f_2845_2]) ).
cnf(f_2845_4,plain,
( r1_rlvect_2(U_7214,k14_rlvect_2(U_7214,U_7213,k14_rlvect_2(U_7214,U_7212,U_7211)),k14_rlvect_2(U_7214,k14_rlvect_2(U_7214,U_7213,U_7212),U_7211))
| ~ m1_rlvect_2(U_7211,U_7214)
| ~ m1_rlvect_2(U_7212,U_7214)
| ~ m1_rlvect_2(U_7213,U_7214)
| ~ l2_rlvect_1(U_7214)
| ~ v7_rlvect_1(U_7214)
| ~ v6_rlvect_1(U_7214)
| ~ v5_rlvect_1(U_7214)
| ~ v4_rlvect_1(U_7214)
| ~ v3_rlvect_1(U_7214)
| v3_struct_0(U_7214) ),
inference(clausify,[status(thm)],[f_2845_3]) ).
fof(f_2846_1,plain,
! [A] :
( ! [B] :
( ( r1_rlvect_2(A,k14_rlvect_2(A,k11_rlvect_2(A),B),B)
& r1_rlvect_2(A,k14_rlvect_2(A,B,k11_rlvect_2(A)),B) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t62_rlvect_2]) ).
fof(f_2846_2,plain,
! [U_7216] :
( ! [U_7215] :
( ( r1_rlvect_2(U_7216,k14_rlvect_2(U_7216,k11_rlvect_2(U_7216),U_7215),U_7215)
& r1_rlvect_2(U_7216,k14_rlvect_2(U_7216,U_7215,k11_rlvect_2(U_7216)),U_7215) )
| ~ m1_rlvect_2(U_7215,U_7216) )
| ~ l2_rlvect_1(U_7216)
| ~ v7_rlvect_1(U_7216)
| ~ v6_rlvect_1(U_7216)
| ~ v5_rlvect_1(U_7216)
| ~ v4_rlvect_1(U_7216)
| ~ v3_rlvect_1(U_7216)
| v3_struct_0(U_7216) ),
inference(variable_rename,[status(thm)],[f_2846_1]) ).
fof(f_2846_3,plain,
( ! [U_7215,U_7216] :
( r1_rlvect_2(U_7216,k14_rlvect_2(U_7216,k11_rlvect_2(U_7216),U_7215),U_7215)
| ~ sP1300(U_7215,U_7216) )
& ! [U_7215,U_7216] :
( r1_rlvect_2(U_7216,k14_rlvect_2(U_7216,U_7215,k11_rlvect_2(U_7216)),U_7215)
| ~ sP1300(U_7215,U_7216) )
& ! [U_7215,U_7216] :
( sP1300(U_7215,U_7216)
| ~ m1_rlvect_2(U_7215,U_7216)
| ~ l2_rlvect_1(U_7216)
| ~ v7_rlvect_1(U_7216)
| ~ v6_rlvect_1(U_7216)
| ~ v5_rlvect_1(U_7216)
| ~ v4_rlvect_1(U_7216)
| ~ v3_rlvect_1(U_7216)
| v3_struct_0(U_7216) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1300])],[f_2846_2]) ).
cnf(f_2846_4,plain,
( sP1300(U_7215,U_7216)
| ~ m1_rlvect_2(U_7215,U_7216)
| ~ l2_rlvect_1(U_7216)
| ~ v7_rlvect_1(U_7216)
| ~ v6_rlvect_1(U_7216)
| ~ v5_rlvect_1(U_7216)
| ~ v4_rlvect_1(U_7216)
| ~ v3_rlvect_1(U_7216)
| v3_struct_0(U_7216) ),
inference(clausify,[status(thm)],[f_2846_3]) ).
cnf(f_2846_5,plain,
( r1_rlvect_2(U_7216,k14_rlvect_2(U_7216,U_7215,k11_rlvect_2(U_7216)),U_7215)
| ~ sP1300(U_7215,U_7216) ),
inference(clausify,[status(thm)],[f_2846_3]) ).
cnf(f_2846_6,plain,
( r1_rlvect_2(U_7216,k14_rlvect_2(U_7216,k11_rlvect_2(U_7216),U_7215),U_7215)
| ~ sP1300(U_7215,U_7216) ),
inference(clausify,[status(thm)],[f_2846_3]) ).
fof(f_2847_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k15_rlvect_2(A,B,C)
| ? [E] :
( k8_funct_2(u1_struct_0(A),k1_numbers,D,E) != k4_real_1(B,k8_funct_2(u1_struct_0(A),k1_numbers,C,E))
& m1_subset_1(E,u1_struct_0(A)) ) )
& ( ! [E] :
( k8_funct_2(u1_struct_0(A),k1_numbers,D,E) = k4_real_1(B,k8_funct_2(u1_struct_0(A),k1_numbers,C,E))
| ~ m1_subset_1(E,u1_struct_0(A)) )
| D != k15_rlvect_2(A,B,C) ) )
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d13_rlvect_2]) ).
fof(f_2847_2,plain,
! [U_7222] :
( ! [U_7221] :
( ! [U_7220] :
( ! [U_7219] :
( ( ( U_7219 = k15_rlvect_2(U_7222,U_7221,U_7220)
| ? [U_7218] :
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,U_7218) != k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,U_7218))
& m1_subset_1(U_7218,u1_struct_0(U_7222)) ) )
& ( ! [U_7217] :
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,U_7217) = k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,U_7217))
| ~ m1_subset_1(U_7217,u1_struct_0(U_7222)) )
| U_7219 != k15_rlvect_2(U_7222,U_7221,U_7220) ) )
| ~ m1_rlvect_2(U_7219,U_7222) )
| ~ m1_rlvect_2(U_7220,U_7222) )
| ~ m1_subset_1(U_7221,k1_numbers) )
| ~ l2_rlvect_1(U_7222)
| ~ v7_rlvect_1(U_7222)
| ~ v6_rlvect_1(U_7222)
| ~ v5_rlvect_1(U_7222)
| ~ v4_rlvect_1(U_7222)
| ~ v3_rlvect_1(U_7222)
| v3_struct_0(U_7222) ),
inference(variable_rename,[status(thm)],[f_2847_1]) ).
fof(f_2847_3,plain,
! [U_7222] :
( ! [U_7221] :
( ! [U_7220] :
( ! [U_7219] :
( ( ( U_7219 = k15_rlvect_2(U_7222,U_7221,U_7220)
| ( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,sK884(U_7222,U_7221,U_7220,U_7219)) != k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,sK884(U_7222,U_7221,U_7220,U_7219)))
& m1_subset_1(sK884(U_7222,U_7221,U_7220,U_7219),u1_struct_0(U_7222)) ) )
& ( ! [U_7217] :
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,U_7217) = k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,U_7217))
| ~ m1_subset_1(U_7217,u1_struct_0(U_7222)) )
| U_7219 != k15_rlvect_2(U_7222,U_7221,U_7220) ) )
| ~ m1_rlvect_2(U_7219,U_7222) )
| ~ m1_rlvect_2(U_7220,U_7222) )
| ~ m1_subset_1(U_7221,k1_numbers) )
| ~ l2_rlvect_1(U_7222)
| ~ v7_rlvect_1(U_7222)
| ~ v6_rlvect_1(U_7222)
| ~ v5_rlvect_1(U_7222)
| ~ v4_rlvect_1(U_7222)
| ~ v3_rlvect_1(U_7222)
| v3_struct_0(U_7222) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK884]),skolemize(U_7218,sK884(U_7222,U_7221,U_7220,U_7219))],[f_2847_2]) ).
fof(f_2847_4,plain,
( ! [U_7219,U_7222,U_7221,U_7220] :
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,sK884(U_7222,U_7221,U_7220,U_7219)) != k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,sK884(U_7222,U_7221,U_7220,U_7219)))
| ~ sP1301(U_7219,U_7222,U_7221,U_7220) )
& ! [U_7219,U_7222,U_7221,U_7220] :
( m1_subset_1(sK884(U_7222,U_7221,U_7220,U_7219),u1_struct_0(U_7222))
| ~ sP1301(U_7219,U_7222,U_7221,U_7220) )
& ! [U_7217,U_7219,U_7222,U_7221,U_7220] :
( U_7219 = k15_rlvect_2(U_7222,U_7221,U_7220)
| sP1301(U_7219,U_7222,U_7221,U_7220)
| ~ sP1302(U_7217,U_7219,U_7222,U_7221,U_7220) )
& ! [U_7217,U_7219,U_7222,U_7221,U_7220] :
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,U_7217) = k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,U_7217))
| ~ m1_subset_1(U_7217,u1_struct_0(U_7222))
| U_7219 != k15_rlvect_2(U_7222,U_7221,U_7220)
| ~ sP1302(U_7217,U_7219,U_7222,U_7221,U_7220) )
& ! [U_7217,U_7219,U_7222,U_7221,U_7220] :
( sP1302(U_7217,U_7219,U_7222,U_7221,U_7220)
| ~ m1_rlvect_2(U_7219,U_7222)
| ~ m1_rlvect_2(U_7220,U_7222)
| ~ m1_subset_1(U_7221,k1_numbers)
| ~ l2_rlvect_1(U_7222)
| ~ v7_rlvect_1(U_7222)
| ~ v6_rlvect_1(U_7222)
| ~ v5_rlvect_1(U_7222)
| ~ v4_rlvect_1(U_7222)
| ~ v3_rlvect_1(U_7222)
| v3_struct_0(U_7222) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1301,sP1302])],[f_2847_3]) ).
cnf(f_2847_5,plain,
( sP1302(U_7217,U_7219,U_7222,U_7221,U_7220)
| ~ m1_rlvect_2(U_7219,U_7222)
| ~ m1_rlvect_2(U_7220,U_7222)
| ~ m1_subset_1(U_7221,k1_numbers)
| ~ l2_rlvect_1(U_7222)
| ~ v7_rlvect_1(U_7222)
| ~ v6_rlvect_1(U_7222)
| ~ v5_rlvect_1(U_7222)
| ~ v4_rlvect_1(U_7222)
| ~ v3_rlvect_1(U_7222)
| v3_struct_0(U_7222) ),
inference(clausify,[status(thm)],[f_2847_4]) ).
cnf(f_2847_6,plain,
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,U_7217) = k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,U_7217))
| ~ m1_subset_1(U_7217,u1_struct_0(U_7222))
| U_7219 != k15_rlvect_2(U_7222,U_7221,U_7220)
| ~ sP1302(U_7217,U_7219,U_7222,U_7221,U_7220) ),
inference(clausify,[status(thm)],[f_2847_4]) ).
cnf(f_2847_7,plain,
( U_7219 = k15_rlvect_2(U_7222,U_7221,U_7220)
| sP1301(U_7219,U_7222,U_7221,U_7220)
| ~ sP1302(U_7217,U_7219,U_7222,U_7221,U_7220) ),
inference(clausify,[status(thm)],[f_2847_4]) ).
cnf(f_2847_8,plain,
( m1_subset_1(sK884(U_7222,U_7221,U_7220,U_7219),u1_struct_0(U_7222))
| ~ sP1301(U_7219,U_7222,U_7221,U_7220) ),
inference(clausify,[status(thm)],[f_2847_4]) ).
cnf(f_2847_9,plain,
( k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7219,sK884(U_7222,U_7221,U_7220,U_7219)) != k4_real_1(U_7221,k8_funct_2(u1_struct_0(U_7222),k1_numbers,U_7220,sK884(U_7222,U_7221,U_7220,U_7219)))
| ~ sP1301(U_7219,U_7222,U_7221,U_7220) ),
inference(clausify,[status(thm)],[f_2847_4]) ).
fof(f_2848_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t63_rlvect_2]) ).
fof(f_2848_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2848_1]) ).
cnf(f_2848_3,plain,
$true,
inference(clausify,[status(thm)],[f_2848_2]) ).
fof(f_2849_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t64_rlvect_2]) ).
fof(f_2849_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2849_1]) ).
cnf(f_2849_3,plain,
$true,
inference(clausify,[status(thm)],[f_2849_2]) ).
fof(f_2850_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k10_rlvect_2(A,k15_rlvect_2(A,B,C)) = k10_rlvect_2(A,C)
| B = np__0
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t65_rlvect_2]) ).
fof(f_2850_2,plain,
! [U_7225] :
( ! [U_7224] :
( ! [U_7223] :
( k10_rlvect_2(U_7225,k15_rlvect_2(U_7225,U_7224,U_7223)) = k10_rlvect_2(U_7225,U_7223)
| U_7224 = np__0
| ~ m1_rlvect_2(U_7223,U_7225) )
| ~ m1_subset_1(U_7224,k1_numbers) )
| ~ l2_rlvect_1(U_7225)
| ~ v7_rlvect_1(U_7225)
| ~ v6_rlvect_1(U_7225)
| ~ v5_rlvect_1(U_7225)
| ~ v4_rlvect_1(U_7225)
| ~ v3_rlvect_1(U_7225)
| v3_struct_0(U_7225) ),
inference(variable_rename,[status(thm)],[f_2850_1]) ).
fof(f_2850_3,plain,
! [U_7225,U_7223,U_7224] :
( k10_rlvect_2(U_7225,k15_rlvect_2(U_7225,U_7224,U_7223)) = k10_rlvect_2(U_7225,U_7223)
| U_7224 = np__0
| ~ m1_rlvect_2(U_7223,U_7225)
| ~ m1_subset_1(U_7224,k1_numbers)
| ~ l2_rlvect_1(U_7225)
| ~ v7_rlvect_1(U_7225)
| ~ v6_rlvect_1(U_7225)
| ~ v5_rlvect_1(U_7225)
| ~ v4_rlvect_1(U_7225)
| ~ v3_rlvect_1(U_7225)
| v3_struct_0(U_7225) ),
inference(definitional_conversion,[status(esa)],[f_2850_2]) ).
cnf(f_2850_4,plain,
( k10_rlvect_2(U_7225,k15_rlvect_2(U_7225,U_7224,U_7223)) = k10_rlvect_2(U_7225,U_7223)
| U_7224 = np__0
| ~ m1_rlvect_2(U_7223,U_7225)
| ~ m1_subset_1(U_7224,k1_numbers)
| ~ l2_rlvect_1(U_7225)
| ~ v7_rlvect_1(U_7225)
| ~ v6_rlvect_1(U_7225)
| ~ v5_rlvect_1(U_7225)
| ~ v4_rlvect_1(U_7225)
| ~ v3_rlvect_1(U_7225)
| v3_struct_0(U_7225) ),
inference(clausify,[status(thm)],[f_2850_3]) ).
fof(f_2851_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_2(A,k15_rlvect_2(A,np__0,B),k11_rlvect_2(A))
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t66_rlvect_2]) ).
fof(f_2851_2,plain,
! [U_7227] :
( ! [U_7226] :
( r1_rlvect_2(U_7227,k15_rlvect_2(U_7227,np__0,U_7226),k11_rlvect_2(U_7227))
| ~ m1_rlvect_2(U_7226,U_7227) )
| ~ l2_rlvect_1(U_7227)
| ~ v7_rlvect_1(U_7227)
| ~ v6_rlvect_1(U_7227)
| ~ v5_rlvect_1(U_7227)
| ~ v4_rlvect_1(U_7227)
| ~ v3_rlvect_1(U_7227)
| v3_struct_0(U_7227) ),
inference(variable_rename,[status(thm)],[f_2851_1]) ).
fof(f_2851_3,plain,
! [U_7226,U_7227] :
( r1_rlvect_2(U_7227,k15_rlvect_2(U_7227,np__0,U_7226),k11_rlvect_2(U_7227))
| ~ m1_rlvect_2(U_7226,U_7227)
| ~ l2_rlvect_1(U_7227)
| ~ v7_rlvect_1(U_7227)
| ~ v6_rlvect_1(U_7227)
| ~ v5_rlvect_1(U_7227)
| ~ v4_rlvect_1(U_7227)
| ~ v3_rlvect_1(U_7227)
| v3_struct_0(U_7227) ),
inference(definitional_conversion,[status(esa)],[f_2851_2]) ).
cnf(f_2851_4,plain,
( r1_rlvect_2(U_7227,k15_rlvect_2(U_7227,np__0,U_7226),k11_rlvect_2(U_7227))
| ~ m1_rlvect_2(U_7226,U_7227)
| ~ l2_rlvect_1(U_7227)
| ~ v7_rlvect_1(U_7227)
| ~ v6_rlvect_1(U_7227)
| ~ v5_rlvect_1(U_7227)
| ~ v4_rlvect_1(U_7227)
| ~ v3_rlvect_1(U_7227)
| v3_struct_0(U_7227) ),
inference(clausify,[status(thm)],[f_2851_3]) ).
fof(f_2852_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m2_rlvect_2(k15_rlvect_2(A,B,D),A,C)
| ~ m2_rlvect_2(D,A,C)
| ~ m1_rlvect_2(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_rlvect_2]) ).
fof(f_2852_2,plain,
! [U_7231] :
( ! [U_7230] :
( ! [U_7229] :
( ! [U_7228] :
( m2_rlvect_2(k15_rlvect_2(U_7231,U_7230,U_7228),U_7231,U_7229)
| ~ m2_rlvect_2(U_7228,U_7231,U_7229)
| ~ m1_rlvect_2(U_7228,U_7231) )
| ~ m1_subset_1(U_7229,k1_zfmisc_1(u1_struct_0(U_7231))) )
| ~ m1_subset_1(U_7230,k1_numbers) )
| ~ l2_rlvect_1(U_7231)
| ~ v7_rlvect_1(U_7231)
| ~ v6_rlvect_1(U_7231)
| ~ v5_rlvect_1(U_7231)
| ~ v4_rlvect_1(U_7231)
| ~ v3_rlvect_1(U_7231)
| v3_struct_0(U_7231) ),
inference(variable_rename,[status(thm)],[f_2852_1]) ).
fof(f_2852_3,plain,
! [U_7229,U_7231,U_7230,U_7228] :
( m2_rlvect_2(k15_rlvect_2(U_7231,U_7230,U_7228),U_7231,U_7229)
| ~ m2_rlvect_2(U_7228,U_7231,U_7229)
| ~ m1_rlvect_2(U_7228,U_7231)
| ~ m1_subset_1(U_7229,k1_zfmisc_1(u1_struct_0(U_7231)))
| ~ m1_subset_1(U_7230,k1_numbers)
| ~ l2_rlvect_1(U_7231)
| ~ v7_rlvect_1(U_7231)
| ~ v6_rlvect_1(U_7231)
| ~ v5_rlvect_1(U_7231)
| ~ v4_rlvect_1(U_7231)
| ~ v3_rlvect_1(U_7231)
| v3_struct_0(U_7231) ),
inference(definitional_conversion,[status(esa)],[f_2852_2]) ).
cnf(f_2852_4,plain,
( m2_rlvect_2(k15_rlvect_2(U_7231,U_7230,U_7228),U_7231,U_7229)
| ~ m2_rlvect_2(U_7228,U_7231,U_7229)
| ~ m1_rlvect_2(U_7228,U_7231)
| ~ m1_subset_1(U_7229,k1_zfmisc_1(u1_struct_0(U_7231)))
| ~ m1_subset_1(U_7230,k1_numbers)
| ~ l2_rlvect_1(U_7231)
| ~ v7_rlvect_1(U_7231)
| ~ v6_rlvect_1(U_7231)
| ~ v5_rlvect_1(U_7231)
| ~ v4_rlvect_1(U_7231)
| ~ v3_rlvect_1(U_7231)
| v3_struct_0(U_7231) ),
inference(clausify,[status(thm)],[f_2852_3]) ).
fof(f_2853_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_2(A,k15_rlvect_2(A,k3_real_1(B,C),D),k14_rlvect_2(A,k15_rlvect_2(A,B,D),k15_rlvect_2(A,C,D)))
| ~ m1_rlvect_2(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_rlvect_2]) ).
fof(f_2853_2,plain,
! [U_7235] :
( ! [U_7234] :
( ! [U_7233] :
( ! [U_7232] :
( r1_rlvect_2(U_7235,k15_rlvect_2(U_7235,k3_real_1(U_7234,U_7233),U_7232),k14_rlvect_2(U_7235,k15_rlvect_2(U_7235,U_7234,U_7232),k15_rlvect_2(U_7235,U_7233,U_7232)))
| ~ m1_rlvect_2(U_7232,U_7235) )
| ~ m1_subset_1(U_7233,k1_numbers) )
| ~ m1_subset_1(U_7234,k1_numbers) )
| ~ l2_rlvect_1(U_7235)
| ~ v7_rlvect_1(U_7235)
| ~ v6_rlvect_1(U_7235)
| ~ v5_rlvect_1(U_7235)
| ~ v4_rlvect_1(U_7235)
| ~ v3_rlvect_1(U_7235)
| v3_struct_0(U_7235) ),
inference(variable_rename,[status(thm)],[f_2853_1]) ).
fof(f_2853_3,plain,
! [U_7234,U_7232,U_7233,U_7235] :
( r1_rlvect_2(U_7235,k15_rlvect_2(U_7235,k3_real_1(U_7234,U_7233),U_7232),k14_rlvect_2(U_7235,k15_rlvect_2(U_7235,U_7234,U_7232),k15_rlvect_2(U_7235,U_7233,U_7232)))
| ~ m1_rlvect_2(U_7232,U_7235)
| ~ m1_subset_1(U_7233,k1_numbers)
| ~ m1_subset_1(U_7234,k1_numbers)
| ~ l2_rlvect_1(U_7235)
| ~ v7_rlvect_1(U_7235)
| ~ v6_rlvect_1(U_7235)
| ~ v5_rlvect_1(U_7235)
| ~ v4_rlvect_1(U_7235)
| ~ v3_rlvect_1(U_7235)
| v3_struct_0(U_7235) ),
inference(definitional_conversion,[status(esa)],[f_2853_2]) ).
cnf(f_2853_4,plain,
( r1_rlvect_2(U_7235,k15_rlvect_2(U_7235,k3_real_1(U_7234,U_7233),U_7232),k14_rlvect_2(U_7235,k15_rlvect_2(U_7235,U_7234,U_7232),k15_rlvect_2(U_7235,U_7233,U_7232)))
| ~ m1_rlvect_2(U_7232,U_7235)
| ~ m1_subset_1(U_7233,k1_numbers)
| ~ m1_subset_1(U_7234,k1_numbers)
| ~ l2_rlvect_1(U_7235)
| ~ v7_rlvect_1(U_7235)
| ~ v6_rlvect_1(U_7235)
| ~ v5_rlvect_1(U_7235)
| ~ v4_rlvect_1(U_7235)
| ~ v3_rlvect_1(U_7235)
| v3_struct_0(U_7235) ),
inference(clausify,[status(thm)],[f_2853_3]) ).
fof(f_2854_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_2(A,k15_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k15_rlvect_2(A,B,C),k15_rlvect_2(A,B,D)))
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t69_rlvect_2]) ).
fof(f_2854_2,plain,
! [U_7239] :
( ! [U_7238] :
( ! [U_7237] :
( ! [U_7236] :
( r1_rlvect_2(U_7239,k15_rlvect_2(U_7239,U_7238,k14_rlvect_2(U_7239,U_7237,U_7236)),k14_rlvect_2(U_7239,k15_rlvect_2(U_7239,U_7238,U_7237),k15_rlvect_2(U_7239,U_7238,U_7236)))
| ~ m1_rlvect_2(U_7236,U_7239) )
| ~ m1_rlvect_2(U_7237,U_7239) )
| ~ m1_subset_1(U_7238,k1_numbers) )
| ~ l2_rlvect_1(U_7239)
| ~ v7_rlvect_1(U_7239)
| ~ v6_rlvect_1(U_7239)
| ~ v5_rlvect_1(U_7239)
| ~ v4_rlvect_1(U_7239)
| ~ v3_rlvect_1(U_7239)
| v3_struct_0(U_7239) ),
inference(variable_rename,[status(thm)],[f_2854_1]) ).
fof(f_2854_3,plain,
! [U_7239,U_7236,U_7237,U_7238] :
( r1_rlvect_2(U_7239,k15_rlvect_2(U_7239,U_7238,k14_rlvect_2(U_7239,U_7237,U_7236)),k14_rlvect_2(U_7239,k15_rlvect_2(U_7239,U_7238,U_7237),k15_rlvect_2(U_7239,U_7238,U_7236)))
| ~ m1_rlvect_2(U_7236,U_7239)
| ~ m1_rlvect_2(U_7237,U_7239)
| ~ m1_subset_1(U_7238,k1_numbers)
| ~ l2_rlvect_1(U_7239)
| ~ v7_rlvect_1(U_7239)
| ~ v6_rlvect_1(U_7239)
| ~ v5_rlvect_1(U_7239)
| ~ v4_rlvect_1(U_7239)
| ~ v3_rlvect_1(U_7239)
| v3_struct_0(U_7239) ),
inference(definitional_conversion,[status(esa)],[f_2854_2]) ).
cnf(f_2854_4,plain,
( r1_rlvect_2(U_7239,k15_rlvect_2(U_7239,U_7238,k14_rlvect_2(U_7239,U_7237,U_7236)),k14_rlvect_2(U_7239,k15_rlvect_2(U_7239,U_7238,U_7237),k15_rlvect_2(U_7239,U_7238,U_7236)))
| ~ m1_rlvect_2(U_7236,U_7239)
| ~ m1_rlvect_2(U_7237,U_7239)
| ~ m1_subset_1(U_7238,k1_numbers)
| ~ l2_rlvect_1(U_7239)
| ~ v7_rlvect_1(U_7239)
| ~ v6_rlvect_1(U_7239)
| ~ v5_rlvect_1(U_7239)
| ~ v4_rlvect_1(U_7239)
| ~ v3_rlvect_1(U_7239)
| v3_struct_0(U_7239) ),
inference(clausify,[status(thm)],[f_2854_3]) ).
fof(f_2855_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_2(A,k15_rlvect_2(A,B,k15_rlvect_2(A,C,D)),k15_rlvect_2(A,k4_real_1(B,C),D))
| ~ m1_rlvect_2(D,A) )
| ~ m1_subset_1(C,k1_numbers) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t70_rlvect_2]) ).
fof(f_2855_2,plain,
! [U_7243] :
( ! [U_7242] :
( ! [U_7241] :
( ! [U_7240] :
( r1_rlvect_2(U_7243,k15_rlvect_2(U_7243,U_7242,k15_rlvect_2(U_7243,U_7241,U_7240)),k15_rlvect_2(U_7243,k4_real_1(U_7242,U_7241),U_7240))
| ~ m1_rlvect_2(U_7240,U_7243) )
| ~ m1_subset_1(U_7241,k1_numbers) )
| ~ m1_subset_1(U_7242,k1_numbers) )
| ~ l2_rlvect_1(U_7243)
| ~ v7_rlvect_1(U_7243)
| ~ v6_rlvect_1(U_7243)
| ~ v5_rlvect_1(U_7243)
| ~ v4_rlvect_1(U_7243)
| ~ v3_rlvect_1(U_7243)
| v3_struct_0(U_7243) ),
inference(variable_rename,[status(thm)],[f_2855_1]) ).
fof(f_2855_3,plain,
! [U_7243,U_7242,U_7241,U_7240] :
( r1_rlvect_2(U_7243,k15_rlvect_2(U_7243,U_7242,k15_rlvect_2(U_7243,U_7241,U_7240)),k15_rlvect_2(U_7243,k4_real_1(U_7242,U_7241),U_7240))
| ~ m1_rlvect_2(U_7240,U_7243)
| ~ m1_subset_1(U_7241,k1_numbers)
| ~ m1_subset_1(U_7242,k1_numbers)
| ~ l2_rlvect_1(U_7243)
| ~ v7_rlvect_1(U_7243)
| ~ v6_rlvect_1(U_7243)
| ~ v5_rlvect_1(U_7243)
| ~ v4_rlvect_1(U_7243)
| ~ v3_rlvect_1(U_7243)
| v3_struct_0(U_7243) ),
inference(definitional_conversion,[status(esa)],[f_2855_2]) ).
cnf(f_2855_4,plain,
( r1_rlvect_2(U_7243,k15_rlvect_2(U_7243,U_7242,k15_rlvect_2(U_7243,U_7241,U_7240)),k15_rlvect_2(U_7243,k4_real_1(U_7242,U_7241),U_7240))
| ~ m1_rlvect_2(U_7240,U_7243)
| ~ m1_subset_1(U_7241,k1_numbers)
| ~ m1_subset_1(U_7242,k1_numbers)
| ~ l2_rlvect_1(U_7243)
| ~ v7_rlvect_1(U_7243)
| ~ v6_rlvect_1(U_7243)
| ~ v5_rlvect_1(U_7243)
| ~ v4_rlvect_1(U_7243)
| ~ v3_rlvect_1(U_7243)
| v3_struct_0(U_7243) ),
inference(clausify,[status(thm)],[f_2855_3]) ).
fof(f_2856_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_2(A,k15_rlvect_2(A,np__1,B),B)
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t71_rlvect_2]) ).
fof(f_2856_2,plain,
! [U_7245] :
( ! [U_7244] :
( r1_rlvect_2(U_7245,k15_rlvect_2(U_7245,np__1,U_7244),U_7244)
| ~ m1_rlvect_2(U_7244,U_7245) )
| ~ l2_rlvect_1(U_7245)
| ~ v7_rlvect_1(U_7245)
| ~ v6_rlvect_1(U_7245)
| ~ v5_rlvect_1(U_7245)
| ~ v4_rlvect_1(U_7245)
| ~ v3_rlvect_1(U_7245)
| v3_struct_0(U_7245) ),
inference(variable_rename,[status(thm)],[f_2856_1]) ).
fof(f_2856_3,plain,
! [U_7244,U_7245] :
( r1_rlvect_2(U_7245,k15_rlvect_2(U_7245,np__1,U_7244),U_7244)
| ~ m1_rlvect_2(U_7244,U_7245)
| ~ l2_rlvect_1(U_7245)
| ~ v7_rlvect_1(U_7245)
| ~ v6_rlvect_1(U_7245)
| ~ v5_rlvect_1(U_7245)
| ~ v4_rlvect_1(U_7245)
| ~ v3_rlvect_1(U_7245)
| v3_struct_0(U_7245) ),
inference(definitional_conversion,[status(esa)],[f_2856_2]) ).
cnf(f_2856_4,plain,
( r1_rlvect_2(U_7245,k15_rlvect_2(U_7245,np__1,U_7244),U_7244)
| ~ m1_rlvect_2(U_7244,U_7245)
| ~ l2_rlvect_1(U_7245)
| ~ v7_rlvect_1(U_7245)
| ~ v6_rlvect_1(U_7245)
| ~ v5_rlvect_1(U_7245)
| ~ v4_rlvect_1(U_7245)
| ~ v3_rlvect_1(U_7245)
| v3_struct_0(U_7245) ),
inference(clausify,[status(thm)],[f_2856_3]) ).
fof(f_2857_1,plain,
! [A] :
( ! [B] :
( k16_rlvect_2(A,B) = k15_rlvect_2(A,k1_real_1(np__1),B)
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d14_rlvect_2]) ).
fof(f_2857_2,plain,
! [U_7247] :
( ! [U_7246] :
( k16_rlvect_2(U_7247,U_7246) = k15_rlvect_2(U_7247,k1_real_1(np__1),U_7246)
| ~ m1_rlvect_2(U_7246,U_7247) )
| ~ l2_rlvect_1(U_7247)
| ~ v7_rlvect_1(U_7247)
| ~ v6_rlvect_1(U_7247)
| ~ v5_rlvect_1(U_7247)
| ~ v4_rlvect_1(U_7247)
| ~ v3_rlvect_1(U_7247)
| v3_struct_0(U_7247) ),
inference(variable_rename,[status(thm)],[f_2857_1]) ).
fof(f_2857_3,plain,
! [U_7247,U_7246] :
( k16_rlvect_2(U_7247,U_7246) = k15_rlvect_2(U_7247,k1_real_1(np__1),U_7246)
| ~ m1_rlvect_2(U_7246,U_7247)
| ~ l2_rlvect_1(U_7247)
| ~ v7_rlvect_1(U_7247)
| ~ v6_rlvect_1(U_7247)
| ~ v5_rlvect_1(U_7247)
| ~ v4_rlvect_1(U_7247)
| ~ v3_rlvect_1(U_7247)
| v3_struct_0(U_7247) ),
inference(definitional_conversion,[status(esa)],[f_2857_2]) ).
cnf(f_2857_4,plain,
( k16_rlvect_2(U_7247,U_7246) = k15_rlvect_2(U_7247,k1_real_1(np__1),U_7246)
| ~ m1_rlvect_2(U_7246,U_7247)
| ~ l2_rlvect_1(U_7247)
| ~ v7_rlvect_1(U_7247)
| ~ v6_rlvect_1(U_7247)
| ~ v5_rlvect_1(U_7247)
| ~ v4_rlvect_1(U_7247)
| ~ v3_rlvect_1(U_7247)
| v3_struct_0(U_7247) ),
inference(clausify,[status(thm)],[f_2857_3]) ).
fof(f_2858_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t72_rlvect_2]) ).
fof(f_2858_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2858_1]) ).
cnf(f_2858_3,plain,
$true,
inference(clausify,[status(thm)],[f_2858_2]) ).
fof(f_2859_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k8_funct_2(u1_struct_0(A),k1_numbers,k16_rlvect_2(A,C),B) = k1_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B))
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t73_rlvect_2]) ).
fof(f_2859_2,plain,
! [U_7250] :
( ! [U_7249] :
( ! [U_7248] :
( k8_funct_2(u1_struct_0(U_7250),k1_numbers,k16_rlvect_2(U_7250,U_7248),U_7249) = k1_real_1(k8_funct_2(u1_struct_0(U_7250),k1_numbers,U_7248,U_7249))
| ~ m1_rlvect_2(U_7248,U_7250) )
| ~ m1_subset_1(U_7249,u1_struct_0(U_7250)) )
| ~ l2_rlvect_1(U_7250)
| ~ v7_rlvect_1(U_7250)
| ~ v6_rlvect_1(U_7250)
| ~ v5_rlvect_1(U_7250)
| ~ v4_rlvect_1(U_7250)
| ~ v3_rlvect_1(U_7250)
| v3_struct_0(U_7250) ),
inference(variable_rename,[status(thm)],[f_2859_1]) ).
fof(f_2859_3,plain,
! [U_7248,U_7250,U_7249] :
( k8_funct_2(u1_struct_0(U_7250),k1_numbers,k16_rlvect_2(U_7250,U_7248),U_7249) = k1_real_1(k8_funct_2(u1_struct_0(U_7250),k1_numbers,U_7248,U_7249))
| ~ m1_rlvect_2(U_7248,U_7250)
| ~ m1_subset_1(U_7249,u1_struct_0(U_7250))
| ~ l2_rlvect_1(U_7250)
| ~ v7_rlvect_1(U_7250)
| ~ v6_rlvect_1(U_7250)
| ~ v5_rlvect_1(U_7250)
| ~ v4_rlvect_1(U_7250)
| ~ v3_rlvect_1(U_7250)
| v3_struct_0(U_7250) ),
inference(definitional_conversion,[status(esa)],[f_2859_2]) ).
cnf(f_2859_4,plain,
( k8_funct_2(u1_struct_0(U_7250),k1_numbers,k16_rlvect_2(U_7250,U_7248),U_7249) = k1_real_1(k8_funct_2(u1_struct_0(U_7250),k1_numbers,U_7248,U_7249))
| ~ m1_rlvect_2(U_7248,U_7250)
| ~ m1_subset_1(U_7249,u1_struct_0(U_7250))
| ~ l2_rlvect_1(U_7250)
| ~ v7_rlvect_1(U_7250)
| ~ v6_rlvect_1(U_7250)
| ~ v5_rlvect_1(U_7250)
| ~ v4_rlvect_1(U_7250)
| ~ v3_rlvect_1(U_7250)
| v3_struct_0(U_7250) ),
inference(clausify,[status(thm)],[f_2859_3]) ).
fof(f_2860_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_2(A,C,k16_rlvect_2(A,B))
| ~ r1_rlvect_2(A,k14_rlvect_2(A,B,C),k11_rlvect_2(A))
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t74_rlvect_2]) ).
fof(f_2860_2,plain,
! [U_7253] :
( ! [U_7252] :
( ! [U_7251] :
( r1_rlvect_2(U_7253,U_7251,k16_rlvect_2(U_7253,U_7252))
| ~ r1_rlvect_2(U_7253,k14_rlvect_2(U_7253,U_7252,U_7251),k11_rlvect_2(U_7253))
| ~ m1_rlvect_2(U_7251,U_7253) )
| ~ m1_rlvect_2(U_7252,U_7253) )
| ~ l2_rlvect_1(U_7253)
| ~ v7_rlvect_1(U_7253)
| ~ v6_rlvect_1(U_7253)
| ~ v5_rlvect_1(U_7253)
| ~ v4_rlvect_1(U_7253)
| ~ v3_rlvect_1(U_7253)
| v3_struct_0(U_7253) ),
inference(variable_rename,[status(thm)],[f_2860_1]) ).
fof(f_2860_3,plain,
! [U_7252,U_7253,U_7251] :
( r1_rlvect_2(U_7253,U_7251,k16_rlvect_2(U_7253,U_7252))
| ~ r1_rlvect_2(U_7253,k14_rlvect_2(U_7253,U_7252,U_7251),k11_rlvect_2(U_7253))
| ~ m1_rlvect_2(U_7251,U_7253)
| ~ m1_rlvect_2(U_7252,U_7253)
| ~ l2_rlvect_1(U_7253)
| ~ v7_rlvect_1(U_7253)
| ~ v6_rlvect_1(U_7253)
| ~ v5_rlvect_1(U_7253)
| ~ v4_rlvect_1(U_7253)
| ~ v3_rlvect_1(U_7253)
| v3_struct_0(U_7253) ),
inference(definitional_conversion,[status(esa)],[f_2860_2]) ).
cnf(f_2860_4,plain,
( r1_rlvect_2(U_7253,U_7251,k16_rlvect_2(U_7253,U_7252))
| ~ r1_rlvect_2(U_7253,k14_rlvect_2(U_7253,U_7252,U_7251),k11_rlvect_2(U_7253))
| ~ m1_rlvect_2(U_7251,U_7253)
| ~ m1_rlvect_2(U_7252,U_7253)
| ~ l2_rlvect_1(U_7253)
| ~ v7_rlvect_1(U_7253)
| ~ v6_rlvect_1(U_7253)
| ~ v5_rlvect_1(U_7253)
| ~ v4_rlvect_1(U_7253)
| ~ v3_rlvect_1(U_7253)
| v3_struct_0(U_7253) ),
inference(clausify,[status(thm)],[f_2860_3]) ).
fof(f_2861_1,plain,
! [A] :
( ! [B] :
( k10_rlvect_2(A,k16_rlvect_2(A,B)) = k10_rlvect_2(A,B)
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t75_rlvect_2]) ).
fof(f_2861_2,plain,
! [U_7255] :
( ! [U_7254] :
( k10_rlvect_2(U_7255,k16_rlvect_2(U_7255,U_7254)) = k10_rlvect_2(U_7255,U_7254)
| ~ m1_rlvect_2(U_7254,U_7255) )
| ~ l2_rlvect_1(U_7255)
| ~ v7_rlvect_1(U_7255)
| ~ v6_rlvect_1(U_7255)
| ~ v5_rlvect_1(U_7255)
| ~ v4_rlvect_1(U_7255)
| ~ v3_rlvect_1(U_7255)
| v3_struct_0(U_7255) ),
inference(variable_rename,[status(thm)],[f_2861_1]) ).
fof(f_2861_3,plain,
! [U_7255,U_7254] :
( k10_rlvect_2(U_7255,k16_rlvect_2(U_7255,U_7254)) = k10_rlvect_2(U_7255,U_7254)
| ~ m1_rlvect_2(U_7254,U_7255)
| ~ l2_rlvect_1(U_7255)
| ~ v7_rlvect_1(U_7255)
| ~ v6_rlvect_1(U_7255)
| ~ v5_rlvect_1(U_7255)
| ~ v4_rlvect_1(U_7255)
| ~ v3_rlvect_1(U_7255)
| v3_struct_0(U_7255) ),
inference(definitional_conversion,[status(esa)],[f_2861_2]) ).
cnf(f_2861_4,plain,
( k10_rlvect_2(U_7255,k16_rlvect_2(U_7255,U_7254)) = k10_rlvect_2(U_7255,U_7254)
| ~ m1_rlvect_2(U_7254,U_7255)
| ~ l2_rlvect_1(U_7255)
| ~ v7_rlvect_1(U_7255)
| ~ v6_rlvect_1(U_7255)
| ~ v5_rlvect_1(U_7255)
| ~ v4_rlvect_1(U_7255)
| ~ v3_rlvect_1(U_7255)
| v3_struct_0(U_7255) ),
inference(clausify,[status(thm)],[f_2861_3]) ).
fof(f_2862_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_rlvect_2(k16_rlvect_2(A,C),A,B)
| ~ m2_rlvect_2(C,A,B)
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t76_rlvect_2]) ).
fof(f_2862_2,plain,
! [U_7258] :
( ! [U_7257] :
( ! [U_7256] :
( m2_rlvect_2(k16_rlvect_2(U_7258,U_7256),U_7258,U_7257)
| ~ m2_rlvect_2(U_7256,U_7258,U_7257)
| ~ m1_rlvect_2(U_7256,U_7258) )
| ~ m1_subset_1(U_7257,k1_zfmisc_1(u1_struct_0(U_7258))) )
| ~ l2_rlvect_1(U_7258)
| ~ v7_rlvect_1(U_7258)
| ~ v6_rlvect_1(U_7258)
| ~ v5_rlvect_1(U_7258)
| ~ v4_rlvect_1(U_7258)
| ~ v3_rlvect_1(U_7258)
| v3_struct_0(U_7258) ),
inference(variable_rename,[status(thm)],[f_2862_1]) ).
fof(f_2862_3,plain,
! [U_7258,U_7257,U_7256] :
( m2_rlvect_2(k16_rlvect_2(U_7258,U_7256),U_7258,U_7257)
| ~ m2_rlvect_2(U_7256,U_7258,U_7257)
| ~ m1_rlvect_2(U_7256,U_7258)
| ~ m1_subset_1(U_7257,k1_zfmisc_1(u1_struct_0(U_7258)))
| ~ l2_rlvect_1(U_7258)
| ~ v7_rlvect_1(U_7258)
| ~ v6_rlvect_1(U_7258)
| ~ v5_rlvect_1(U_7258)
| ~ v4_rlvect_1(U_7258)
| ~ v3_rlvect_1(U_7258)
| v3_struct_0(U_7258) ),
inference(definitional_conversion,[status(esa)],[f_2862_2]) ).
cnf(f_2862_4,plain,
( m2_rlvect_2(k16_rlvect_2(U_7258,U_7256),U_7258,U_7257)
| ~ m2_rlvect_2(U_7256,U_7258,U_7257)
| ~ m1_rlvect_2(U_7256,U_7258)
| ~ m1_subset_1(U_7257,k1_zfmisc_1(u1_struct_0(U_7258)))
| ~ l2_rlvect_1(U_7258)
| ~ v7_rlvect_1(U_7258)
| ~ v6_rlvect_1(U_7258)
| ~ v5_rlvect_1(U_7258)
| ~ v4_rlvect_1(U_7258)
| ~ v3_rlvect_1(U_7258)
| v3_struct_0(U_7258) ),
inference(clausify,[status(thm)],[f_2862_3]) ).
fof(f_2863_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_2(A,k16_rlvect_2(A,k16_rlvect_2(A,B)),B)
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t77_rlvect_2]) ).
fof(f_2863_2,plain,
! [U_7260] :
( ! [U_7259] :
( r1_rlvect_2(U_7260,k16_rlvect_2(U_7260,k16_rlvect_2(U_7260,U_7259)),U_7259)
| ~ m1_rlvect_2(U_7259,U_7260) )
| ~ l2_rlvect_1(U_7260)
| ~ v7_rlvect_1(U_7260)
| ~ v6_rlvect_1(U_7260)
| ~ v5_rlvect_1(U_7260)
| ~ v4_rlvect_1(U_7260)
| ~ v3_rlvect_1(U_7260)
| v3_struct_0(U_7260) ),
inference(variable_rename,[status(thm)],[f_2863_1]) ).
fof(f_2863_3,plain,
! [U_7259,U_7260] :
( r1_rlvect_2(U_7260,k16_rlvect_2(U_7260,k16_rlvect_2(U_7260,U_7259)),U_7259)
| ~ m1_rlvect_2(U_7259,U_7260)
| ~ l2_rlvect_1(U_7260)
| ~ v7_rlvect_1(U_7260)
| ~ v6_rlvect_1(U_7260)
| ~ v5_rlvect_1(U_7260)
| ~ v4_rlvect_1(U_7260)
| ~ v3_rlvect_1(U_7260)
| v3_struct_0(U_7260) ),
inference(definitional_conversion,[status(esa)],[f_2863_2]) ).
cnf(f_2863_4,plain,
( r1_rlvect_2(U_7260,k16_rlvect_2(U_7260,k16_rlvect_2(U_7260,U_7259)),U_7259)
| ~ m1_rlvect_2(U_7259,U_7260)
| ~ l2_rlvect_1(U_7260)
| ~ v7_rlvect_1(U_7260)
| ~ v6_rlvect_1(U_7260)
| ~ v5_rlvect_1(U_7260)
| ~ v4_rlvect_1(U_7260)
| ~ v3_rlvect_1(U_7260)
| v3_struct_0(U_7260) ),
inference(clausify,[status(thm)],[f_2863_3]) ).
fof(f_2864_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k17_rlvect_2(A,B,C) = k14_rlvect_2(A,B,k16_rlvect_2(A,C))
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d15_rlvect_2]) ).
fof(f_2864_2,plain,
! [U_7263] :
( ! [U_7262] :
( ! [U_7261] :
( k17_rlvect_2(U_7263,U_7262,U_7261) = k14_rlvect_2(U_7263,U_7262,k16_rlvect_2(U_7263,U_7261))
| ~ m1_rlvect_2(U_7261,U_7263) )
| ~ m1_rlvect_2(U_7262,U_7263) )
| ~ l2_rlvect_1(U_7263)
| ~ v7_rlvect_1(U_7263)
| ~ v6_rlvect_1(U_7263)
| ~ v5_rlvect_1(U_7263)
| ~ v4_rlvect_1(U_7263)
| ~ v3_rlvect_1(U_7263)
| v3_struct_0(U_7263) ),
inference(variable_rename,[status(thm)],[f_2864_1]) ).
fof(f_2864_3,plain,
! [U_7262,U_7261,U_7263] :
( k17_rlvect_2(U_7263,U_7262,U_7261) = k14_rlvect_2(U_7263,U_7262,k16_rlvect_2(U_7263,U_7261))
| ~ m1_rlvect_2(U_7261,U_7263)
| ~ m1_rlvect_2(U_7262,U_7263)
| ~ l2_rlvect_1(U_7263)
| ~ v7_rlvect_1(U_7263)
| ~ v6_rlvect_1(U_7263)
| ~ v5_rlvect_1(U_7263)
| ~ v4_rlvect_1(U_7263)
| ~ v3_rlvect_1(U_7263)
| v3_struct_0(U_7263) ),
inference(definitional_conversion,[status(esa)],[f_2864_2]) ).
cnf(f_2864_4,plain,
( k17_rlvect_2(U_7263,U_7262,U_7261) = k14_rlvect_2(U_7263,U_7262,k16_rlvect_2(U_7263,U_7261))
| ~ m1_rlvect_2(U_7261,U_7263)
| ~ m1_rlvect_2(U_7262,U_7263)
| ~ l2_rlvect_1(U_7263)
| ~ v7_rlvect_1(U_7263)
| ~ v6_rlvect_1(U_7263)
| ~ v5_rlvect_1(U_7263)
| ~ v4_rlvect_1(U_7263)
| ~ v3_rlvect_1(U_7263)
| v3_struct_0(U_7263) ),
inference(clausify,[status(thm)],[f_2864_3]) ).
fof(f_2865_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t78_rlvect_2]) ).
fof(f_2865_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2865_1]) ).
cnf(f_2865_3,plain,
$true,
inference(clausify,[status(thm)],[f_2865_2]) ).
fof(f_2866_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k8_funct_2(u1_struct_0(A),k1_numbers,k17_rlvect_2(A,C,D),B) = k5_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B),k8_funct_2(u1_struct_0(A),k1_numbers,D,B))
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t79_rlvect_2]) ).
fof(f_2866_2,plain,
! [U_7267] :
( ! [U_7266] :
( ! [U_7265] :
( ! [U_7264] :
( k8_funct_2(u1_struct_0(U_7267),k1_numbers,k17_rlvect_2(U_7267,U_7265,U_7264),U_7266) = k5_real_1(k8_funct_2(u1_struct_0(U_7267),k1_numbers,U_7265,U_7266),k8_funct_2(u1_struct_0(U_7267),k1_numbers,U_7264,U_7266))
| ~ m1_rlvect_2(U_7264,U_7267) )
| ~ m1_rlvect_2(U_7265,U_7267) )
| ~ m1_subset_1(U_7266,u1_struct_0(U_7267)) )
| ~ l2_rlvect_1(U_7267)
| ~ v7_rlvect_1(U_7267)
| ~ v6_rlvect_1(U_7267)
| ~ v5_rlvect_1(U_7267)
| ~ v4_rlvect_1(U_7267)
| ~ v3_rlvect_1(U_7267)
| v3_struct_0(U_7267) ),
inference(variable_rename,[status(thm)],[f_2866_1]) ).
fof(f_2866_3,plain,
! [U_7264,U_7266,U_7265,U_7267] :
( k8_funct_2(u1_struct_0(U_7267),k1_numbers,k17_rlvect_2(U_7267,U_7265,U_7264),U_7266) = k5_real_1(k8_funct_2(u1_struct_0(U_7267),k1_numbers,U_7265,U_7266),k8_funct_2(u1_struct_0(U_7267),k1_numbers,U_7264,U_7266))
| ~ m1_rlvect_2(U_7264,U_7267)
| ~ m1_rlvect_2(U_7265,U_7267)
| ~ m1_subset_1(U_7266,u1_struct_0(U_7267))
| ~ l2_rlvect_1(U_7267)
| ~ v7_rlvect_1(U_7267)
| ~ v6_rlvect_1(U_7267)
| ~ v5_rlvect_1(U_7267)
| ~ v4_rlvect_1(U_7267)
| ~ v3_rlvect_1(U_7267)
| v3_struct_0(U_7267) ),
inference(definitional_conversion,[status(esa)],[f_2866_2]) ).
cnf(f_2866_4,plain,
( k8_funct_2(u1_struct_0(U_7267),k1_numbers,k17_rlvect_2(U_7267,U_7265,U_7264),U_7266) = k5_real_1(k8_funct_2(u1_struct_0(U_7267),k1_numbers,U_7265,U_7266),k8_funct_2(u1_struct_0(U_7267),k1_numbers,U_7264,U_7266))
| ~ m1_rlvect_2(U_7264,U_7267)
| ~ m1_rlvect_2(U_7265,U_7267)
| ~ m1_subset_1(U_7266,u1_struct_0(U_7267))
| ~ l2_rlvect_1(U_7267)
| ~ v7_rlvect_1(U_7267)
| ~ v6_rlvect_1(U_7267)
| ~ v5_rlvect_1(U_7267)
| ~ v4_rlvect_1(U_7267)
| ~ v3_rlvect_1(U_7267)
| v3_struct_0(U_7267) ),
inference(clausify,[status(thm)],[f_2866_3]) ).
fof(f_2867_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_tarski(k10_rlvect_2(A,k17_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C)))
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t80_rlvect_2]) ).
fof(f_2867_2,plain,
! [U_7270] :
( ! [U_7269] :
( ! [U_7268] :
( r1_tarski(k10_rlvect_2(U_7270,k17_rlvect_2(U_7270,U_7269,U_7268)),k2_rlvect_2(U_7270,k10_rlvect_2(U_7270,U_7269),k10_rlvect_2(U_7270,U_7268)))
| ~ m1_rlvect_2(U_7268,U_7270) )
| ~ m1_rlvect_2(U_7269,U_7270) )
| ~ l2_rlvect_1(U_7270)
| ~ v7_rlvect_1(U_7270)
| ~ v6_rlvect_1(U_7270)
| ~ v5_rlvect_1(U_7270)
| ~ v4_rlvect_1(U_7270)
| ~ v3_rlvect_1(U_7270)
| v3_struct_0(U_7270) ),
inference(variable_rename,[status(thm)],[f_2867_1]) ).
fof(f_2867_3,plain,
! [U_7270,U_7268,U_7269] :
( r1_tarski(k10_rlvect_2(U_7270,k17_rlvect_2(U_7270,U_7269,U_7268)),k2_rlvect_2(U_7270,k10_rlvect_2(U_7270,U_7269),k10_rlvect_2(U_7270,U_7268)))
| ~ m1_rlvect_2(U_7268,U_7270)
| ~ m1_rlvect_2(U_7269,U_7270)
| ~ l2_rlvect_1(U_7270)
| ~ v7_rlvect_1(U_7270)
| ~ v6_rlvect_1(U_7270)
| ~ v5_rlvect_1(U_7270)
| ~ v4_rlvect_1(U_7270)
| ~ v3_rlvect_1(U_7270)
| v3_struct_0(U_7270) ),
inference(definitional_conversion,[status(esa)],[f_2867_2]) ).
cnf(f_2867_4,plain,
( r1_tarski(k10_rlvect_2(U_7270,k17_rlvect_2(U_7270,U_7269,U_7268)),k2_rlvect_2(U_7270,k10_rlvect_2(U_7270,U_7269),k10_rlvect_2(U_7270,U_7268)))
| ~ m1_rlvect_2(U_7268,U_7270)
| ~ m1_rlvect_2(U_7269,U_7270)
| ~ l2_rlvect_1(U_7270)
| ~ v7_rlvect_1(U_7270)
| ~ v6_rlvect_1(U_7270)
| ~ v5_rlvect_1(U_7270)
| ~ v4_rlvect_1(U_7270)
| ~ v3_rlvect_1(U_7270)
| v3_struct_0(U_7270) ),
inference(clausify,[status(thm)],[f_2867_3]) ).
fof(f_2868_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m2_rlvect_2(k17_rlvect_2(A,C,D),A,B)
| ~ m2_rlvect_2(D,A,B)
| ~ m2_rlvect_2(C,A,B)
| ~ m1_rlvect_2(D,A) )
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t81_rlvect_2]) ).
fof(f_2868_2,plain,
! [U_7274] :
( ! [U_7273] :
( ! [U_7272] :
( ! [U_7271] :
( m2_rlvect_2(k17_rlvect_2(U_7274,U_7272,U_7271),U_7274,U_7273)
| ~ m2_rlvect_2(U_7271,U_7274,U_7273)
| ~ m2_rlvect_2(U_7272,U_7274,U_7273)
| ~ m1_rlvect_2(U_7271,U_7274) )
| ~ m1_rlvect_2(U_7272,U_7274) )
| ~ m1_subset_1(U_7273,k1_zfmisc_1(u1_struct_0(U_7274))) )
| ~ l2_rlvect_1(U_7274)
| ~ v7_rlvect_1(U_7274)
| ~ v6_rlvect_1(U_7274)
| ~ v5_rlvect_1(U_7274)
| ~ v4_rlvect_1(U_7274)
| ~ v3_rlvect_1(U_7274)
| v3_struct_0(U_7274) ),
inference(variable_rename,[status(thm)],[f_2868_1]) ).
fof(f_2868_3,plain,
! [U_7274,U_7271,U_7272,U_7273] :
( m2_rlvect_2(k17_rlvect_2(U_7274,U_7272,U_7271),U_7274,U_7273)
| ~ m2_rlvect_2(U_7271,U_7274,U_7273)
| ~ m2_rlvect_2(U_7272,U_7274,U_7273)
| ~ m1_rlvect_2(U_7271,U_7274)
| ~ m1_rlvect_2(U_7272,U_7274)
| ~ m1_subset_1(U_7273,k1_zfmisc_1(u1_struct_0(U_7274)))
| ~ l2_rlvect_1(U_7274)
| ~ v7_rlvect_1(U_7274)
| ~ v6_rlvect_1(U_7274)
| ~ v5_rlvect_1(U_7274)
| ~ v4_rlvect_1(U_7274)
| ~ v3_rlvect_1(U_7274)
| v3_struct_0(U_7274) ),
inference(definitional_conversion,[status(esa)],[f_2868_2]) ).
cnf(f_2868_4,plain,
( m2_rlvect_2(k17_rlvect_2(U_7274,U_7272,U_7271),U_7274,U_7273)
| ~ m2_rlvect_2(U_7271,U_7274,U_7273)
| ~ m2_rlvect_2(U_7272,U_7274,U_7273)
| ~ m1_rlvect_2(U_7271,U_7274)
| ~ m1_rlvect_2(U_7272,U_7274)
| ~ m1_subset_1(U_7273,k1_zfmisc_1(u1_struct_0(U_7274)))
| ~ l2_rlvect_1(U_7274)
| ~ v7_rlvect_1(U_7274)
| ~ v6_rlvect_1(U_7274)
| ~ v5_rlvect_1(U_7274)
| ~ v4_rlvect_1(U_7274)
| ~ v3_rlvect_1(U_7274)
| v3_struct_0(U_7274) ),
inference(clausify,[status(thm)],[f_2868_3]) ).
fof(f_2869_1,plain,
! [A] :
( ! [B] :
( r1_rlvect_2(A,k17_rlvect_2(A,B,B),k11_rlvect_2(A))
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t82_rlvect_2]) ).
fof(f_2869_2,plain,
! [U_7276] :
( ! [U_7275] :
( r1_rlvect_2(U_7276,k17_rlvect_2(U_7276,U_7275,U_7275),k11_rlvect_2(U_7276))
| ~ m1_rlvect_2(U_7275,U_7276) )
| ~ l2_rlvect_1(U_7276)
| ~ v7_rlvect_1(U_7276)
| ~ v6_rlvect_1(U_7276)
| ~ v5_rlvect_1(U_7276)
| ~ v4_rlvect_1(U_7276)
| ~ v3_rlvect_1(U_7276)
| v3_struct_0(U_7276) ),
inference(variable_rename,[status(thm)],[f_2869_1]) ).
fof(f_2869_3,plain,
! [U_7275,U_7276] :
( r1_rlvect_2(U_7276,k17_rlvect_2(U_7276,U_7275,U_7275),k11_rlvect_2(U_7276))
| ~ m1_rlvect_2(U_7275,U_7276)
| ~ l2_rlvect_1(U_7276)
| ~ v7_rlvect_1(U_7276)
| ~ v6_rlvect_1(U_7276)
| ~ v5_rlvect_1(U_7276)
| ~ v4_rlvect_1(U_7276)
| ~ v3_rlvect_1(U_7276)
| v3_struct_0(U_7276) ),
inference(definitional_conversion,[status(esa)],[f_2869_2]) ).
cnf(f_2869_4,plain,
( r1_rlvect_2(U_7276,k17_rlvect_2(U_7276,U_7275,U_7275),k11_rlvect_2(U_7276))
| ~ m1_rlvect_2(U_7275,U_7276)
| ~ l2_rlvect_1(U_7276)
| ~ v7_rlvect_1(U_7276)
| ~ v6_rlvect_1(U_7276)
| ~ v5_rlvect_1(U_7276)
| ~ v4_rlvect_1(U_7276)
| ~ v3_rlvect_1(U_7276)
| v3_struct_0(U_7276) ),
inference(clausify,[status(thm)],[f_2869_3]) ).
fof(f_2870_1,plain,
! [A] :
( ! [B] :
( ( B = k18_rlvect_2(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& m1_rlvect_2(C,A) )
| ( ~ m1_rlvect_2(C,A)
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ~ m1_rlvect_2(C,A) )
& ( m1_rlvect_2(C,A)
| ~ r2_hidden(C,B) ) )
| B != k18_rlvect_2(A) ) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d16_rlvect_2]) ).
fof(f_2870_2,plain,
! [U_7280] :
( ! [U_7279] :
( ( U_7279 = k18_rlvect_2(U_7280)
| ? [U_7278] :
( ( ~ r2_hidden(U_7278,U_7279)
& m1_rlvect_2(U_7278,U_7280) )
| ( ~ m1_rlvect_2(U_7278,U_7280)
& r2_hidden(U_7278,U_7279) ) ) )
& ( ! [U_7277] :
( ( r2_hidden(U_7277,U_7279)
| ~ m1_rlvect_2(U_7277,U_7280) )
& ( m1_rlvect_2(U_7277,U_7280)
| ~ r2_hidden(U_7277,U_7279) ) )
| U_7279 != k18_rlvect_2(U_7280) ) )
| ~ l2_rlvect_1(U_7280)
| ~ v7_rlvect_1(U_7280)
| ~ v6_rlvect_1(U_7280)
| ~ v5_rlvect_1(U_7280)
| ~ v4_rlvect_1(U_7280)
| ~ v3_rlvect_1(U_7280)
| v3_struct_0(U_7280) ),
inference(variable_rename,[status(thm)],[f_2870_1]) ).
fof(f_2870_3,plain,
! [U_7280] :
( ( ! [U_7286] :
( U_7286 = k18_rlvect_2(U_7280)
| ? [U_7284] :
( ~ r2_hidden(U_7284,U_7286)
& m1_rlvect_2(U_7284,U_7280) )
| ? [U_7283] :
( ~ m1_rlvect_2(U_7283,U_7280)
& r2_hidden(U_7283,U_7286) ) )
& ! [U_7285] :
( ( ! [U_7282] :
( r2_hidden(U_7282,U_7285)
| ~ m1_rlvect_2(U_7282,U_7280) )
& ! [U_7281] :
( m1_rlvect_2(U_7281,U_7280)
| ~ r2_hidden(U_7281,U_7285) ) )
| U_7285 != k18_rlvect_2(U_7280) ) )
| ~ l2_rlvect_1(U_7280)
| ~ v7_rlvect_1(U_7280)
| ~ v6_rlvect_1(U_7280)
| ~ v5_rlvect_1(U_7280)
| ~ v4_rlvect_1(U_7280)
| ~ v3_rlvect_1(U_7280)
| v3_struct_0(U_7280) ),
inference(miniscope,[status(thm)],[f_2870_2]) ).
fof(f_2870_4,plain,
! [U_7280] :
( ( ! [U_7286] :
( U_7286 = k18_rlvect_2(U_7280)
| ? [U_7284] :
( ~ r2_hidden(U_7284,U_7286)
& m1_rlvect_2(U_7284,U_7280) )
| ( ~ m1_rlvect_2(sK885(U_7280,U_7286),U_7280)
& r2_hidden(sK885(U_7280,U_7286),U_7286) ) )
& ! [U_7285] :
( ( ! [U_7282] :
( r2_hidden(U_7282,U_7285)
| ~ m1_rlvect_2(U_7282,U_7280) )
& ! [U_7281] :
( m1_rlvect_2(U_7281,U_7280)
| ~ r2_hidden(U_7281,U_7285) ) )
| U_7285 != k18_rlvect_2(U_7280) ) )
| ~ l2_rlvect_1(U_7280)
| ~ v7_rlvect_1(U_7280)
| ~ v6_rlvect_1(U_7280)
| ~ v5_rlvect_1(U_7280)
| ~ v4_rlvect_1(U_7280)
| ~ v3_rlvect_1(U_7280)
| v3_struct_0(U_7280) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK885]),skolemize(U_7283,sK885(U_7280,U_7286))],[f_2870_3]) ).
fof(f_2870_5,plain,
! [U_7280] :
( ( ! [U_7286] :
( U_7286 = k18_rlvect_2(U_7280)
| ( ~ r2_hidden(sK886(U_7280,U_7286),U_7286)
& m1_rlvect_2(sK886(U_7280,U_7286),U_7280) )
| ( ~ m1_rlvect_2(sK885(U_7280,U_7286),U_7280)
& r2_hidden(sK885(U_7280,U_7286),U_7286) ) )
& ! [U_7285] :
( ( ! [U_7282] :
( r2_hidden(U_7282,U_7285)
| ~ m1_rlvect_2(U_7282,U_7280) )
& ! [U_7281] :
( m1_rlvect_2(U_7281,U_7280)
| ~ r2_hidden(U_7281,U_7285) ) )
| U_7285 != k18_rlvect_2(U_7280) ) )
| ~ l2_rlvect_1(U_7280)
| ~ v7_rlvect_1(U_7280)
| ~ v6_rlvect_1(U_7280)
| ~ v5_rlvect_1(U_7280)
| ~ v4_rlvect_1(U_7280)
| ~ v3_rlvect_1(U_7280)
| v3_struct_0(U_7280) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK886]),skolemize(U_7284,sK886(U_7280,U_7286))],[f_2870_4]) ).
fof(f_2870_6,plain,
( ! [U_7280,U_7286] :
( ~ r2_hidden(sK886(U_7280,U_7286),U_7286)
| ~ sP1305(U_7280,U_7286) )
& ! [U_7280,U_7286] :
( m1_rlvect_2(sK886(U_7280,U_7286),U_7280)
| ~ sP1305(U_7280,U_7286) )
& ! [U_7280,U_7286] :
( ~ m1_rlvect_2(sK885(U_7280,U_7286),U_7280)
| ~ sP1304(U_7280,U_7286) )
& ! [U_7280,U_7286] :
( r2_hidden(sK885(U_7280,U_7286),U_7286)
| ~ sP1304(U_7280,U_7286) )
& ! [U_7280,U_7281,U_7282,U_7285] :
( r2_hidden(U_7282,U_7285)
| ~ m1_rlvect_2(U_7282,U_7280)
| ~ sP1303(U_7280,U_7281,U_7282,U_7285) )
& ! [U_7280,U_7281,U_7282,U_7285] :
( m1_rlvect_2(U_7281,U_7280)
| ~ r2_hidden(U_7281,U_7285)
| ~ sP1303(U_7280,U_7281,U_7282,U_7285) )
& ! [U_7280,U_7281,U_7282,U_7286,U_7285] :
( U_7286 = k18_rlvect_2(U_7280)
| sP1305(U_7280,U_7286)
| sP1304(U_7280,U_7286)
| ~ sP1306(U_7280,U_7281,U_7282,U_7286,U_7285) )
& ! [U_7280,U_7281,U_7282,U_7286,U_7285] :
( sP1303(U_7280,U_7281,U_7282,U_7285)
| U_7285 != k18_rlvect_2(U_7280)
| ~ sP1306(U_7280,U_7281,U_7282,U_7286,U_7285) )
& ! [U_7280,U_7281,U_7282,U_7286,U_7285] :
( sP1306(U_7280,U_7281,U_7282,U_7286,U_7285)
| ~ l2_rlvect_1(U_7280)
| ~ v7_rlvect_1(U_7280)
| ~ v6_rlvect_1(U_7280)
| ~ v5_rlvect_1(U_7280)
| ~ v4_rlvect_1(U_7280)
| ~ v3_rlvect_1(U_7280)
| v3_struct_0(U_7280) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1303,sP1304,sP1305,sP1306])],[f_2870_5]) ).
cnf(f_2870_7,plain,
( sP1306(U_7280,U_7281,U_7282,U_7286,U_7285)
| ~ l2_rlvect_1(U_7280)
| ~ v7_rlvect_1(U_7280)
| ~ v6_rlvect_1(U_7280)
| ~ v5_rlvect_1(U_7280)
| ~ v4_rlvect_1(U_7280)
| ~ v3_rlvect_1(U_7280)
| v3_struct_0(U_7280) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_8,plain,
( sP1303(U_7280,U_7281,U_7282,U_7285)
| U_7285 != k18_rlvect_2(U_7280)
| ~ sP1306(U_7280,U_7281,U_7282,U_7286,U_7285) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_9,plain,
( U_7286 = k18_rlvect_2(U_7280)
| sP1305(U_7280,U_7286)
| sP1304(U_7280,U_7286)
| ~ sP1306(U_7280,U_7281,U_7282,U_7286,U_7285) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_10,plain,
( m1_rlvect_2(U_7281,U_7280)
| ~ r2_hidden(U_7281,U_7285)
| ~ sP1303(U_7280,U_7281,U_7282,U_7285) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_11,plain,
( r2_hidden(U_7282,U_7285)
| ~ m1_rlvect_2(U_7282,U_7280)
| ~ sP1303(U_7280,U_7281,U_7282,U_7285) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_12,plain,
( r2_hidden(sK885(U_7280,U_7286),U_7286)
| ~ sP1304(U_7280,U_7286) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_13,plain,
( ~ m1_rlvect_2(sK885(U_7280,U_7286),U_7280)
| ~ sP1304(U_7280,U_7286) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_14,plain,
( m1_rlvect_2(sK886(U_7280,U_7286),U_7280)
| ~ sP1305(U_7280,U_7286) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
cnf(f_2870_15,plain,
( ~ r2_hidden(sK886(U_7280,U_7286),U_7286)
| ~ sP1305(U_7280,U_7286) ),
inference(clausify,[status(thm)],[f_2870_6]) ).
fof(f_2871_1,plain,
! [A] :
( ! [B] :
( k19_rlvect_2(A,B) = B
| ~ m1_subset_1(B,k18_rlvect_2(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d17_rlvect_2]) ).
fof(f_2871_2,plain,
! [U_7288] :
( ! [U_7287] :
( k19_rlvect_2(U_7288,U_7287) = U_7287
| ~ m1_subset_1(U_7287,k18_rlvect_2(U_7288)) )
| ~ l2_rlvect_1(U_7288)
| ~ v7_rlvect_1(U_7288)
| ~ v6_rlvect_1(U_7288)
| ~ v5_rlvect_1(U_7288)
| ~ v4_rlvect_1(U_7288)
| ~ v3_rlvect_1(U_7288)
| v3_struct_0(U_7288) ),
inference(variable_rename,[status(thm)],[f_2871_1]) ).
fof(f_2871_3,plain,
! [U_7288,U_7287] :
( k19_rlvect_2(U_7288,U_7287) = U_7287
| ~ m1_subset_1(U_7287,k18_rlvect_2(U_7288))
| ~ l2_rlvect_1(U_7288)
| ~ v7_rlvect_1(U_7288)
| ~ v6_rlvect_1(U_7288)
| ~ v5_rlvect_1(U_7288)
| ~ v4_rlvect_1(U_7288)
| ~ v3_rlvect_1(U_7288)
| v3_struct_0(U_7288) ),
inference(definitional_conversion,[status(esa)],[f_2871_2]) ).
cnf(f_2871_4,plain,
( k19_rlvect_2(U_7288,U_7287) = U_7287
| ~ m1_subset_1(U_7287,k18_rlvect_2(U_7288))
| ~ l2_rlvect_1(U_7288)
| ~ v7_rlvect_1(U_7288)
| ~ v6_rlvect_1(U_7288)
| ~ v5_rlvect_1(U_7288)
| ~ v4_rlvect_1(U_7288)
| ~ v3_rlvect_1(U_7288)
| v3_struct_0(U_7288) ),
inference(clausify,[status(thm)],[f_2871_3]) ).
fof(f_2872_1,plain,
! [A] :
( ! [B] :
( k20_rlvect_2(A,B) = B
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d18_rlvect_2]) ).
fof(f_2872_2,plain,
! [U_7290] :
( ! [U_7289] :
( k20_rlvect_2(U_7290,U_7289) = U_7289
| ~ m1_rlvect_2(U_7289,U_7290) )
| ~ l2_rlvect_1(U_7290)
| ~ v7_rlvect_1(U_7290)
| ~ v6_rlvect_1(U_7290)
| ~ v5_rlvect_1(U_7290)
| ~ v4_rlvect_1(U_7290)
| ~ v3_rlvect_1(U_7290)
| v3_struct_0(U_7290) ),
inference(variable_rename,[status(thm)],[f_2872_1]) ).
fof(f_2872_3,plain,
! [U_7289,U_7290] :
( k20_rlvect_2(U_7290,U_7289) = U_7289
| ~ m1_rlvect_2(U_7289,U_7290)
| ~ l2_rlvect_1(U_7290)
| ~ v7_rlvect_1(U_7290)
| ~ v6_rlvect_1(U_7290)
| ~ v5_rlvect_1(U_7290)
| ~ v4_rlvect_1(U_7290)
| ~ v3_rlvect_1(U_7290)
| v3_struct_0(U_7290) ),
inference(definitional_conversion,[status(esa)],[f_2872_2]) ).
cnf(f_2872_4,plain,
( k20_rlvect_2(U_7290,U_7289) = U_7289
| ~ m1_rlvect_2(U_7289,U_7290)
| ~ l2_rlvect_1(U_7290)
| ~ v7_rlvect_1(U_7290)
| ~ v6_rlvect_1(U_7290)
| ~ v5_rlvect_1(U_7290)
| ~ v4_rlvect_1(U_7290)
| ~ v3_rlvect_1(U_7290)
| v3_struct_0(U_7290) ),
inference(clausify,[status(thm)],[f_2872_3]) ).
fof(f_2873_1,plain,
! [A] :
( ! [B] :
( ( ( B = k21_rlvect_2(A)
| ? [C] :
( ? [D] :
( k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D) != k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D))
& m1_subset_1(D,k18_rlvect_2(A)) )
& m1_subset_1(C,k18_rlvect_2(A)) ) )
& ( ! [C] :
( ! [D] :
( k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D) = k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D))
| ~ m1_subset_1(D,k18_rlvect_2(A)) )
| ~ m1_subset_1(C,k18_rlvect_2(A)) )
| B != k21_rlvect_2(A) ) )
| ~ m2_relset_1(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
| ~ v1_funct_2(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
| ~ v1_funct_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d19_rlvect_2]) ).
fof(f_2873_2,plain,
! [U_7296] :
( ! [U_7295] :
( ( ( U_7295 = k21_rlvect_2(U_7296)
| ? [U_7294] :
( ? [U_7293] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,U_7294,U_7293) != k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,U_7294),k19_rlvect_2(U_7296,U_7293))
& m1_subset_1(U_7293,k18_rlvect_2(U_7296)) )
& m1_subset_1(U_7294,k18_rlvect_2(U_7296)) ) )
& ( ! [U_7292] :
( ! [U_7291] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,U_7292,U_7291) = k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,U_7292),k19_rlvect_2(U_7296,U_7291))
| ~ m1_subset_1(U_7291,k18_rlvect_2(U_7296)) )
| ~ m1_subset_1(U_7292,k18_rlvect_2(U_7296)) )
| U_7295 != k21_rlvect_2(U_7296) ) )
| ~ m2_relset_1(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_2(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_1(U_7295) )
| ~ l2_rlvect_1(U_7296)
| ~ v7_rlvect_1(U_7296)
| ~ v6_rlvect_1(U_7296)
| ~ v5_rlvect_1(U_7296)
| ~ v4_rlvect_1(U_7296)
| ~ v3_rlvect_1(U_7296)
| v3_struct_0(U_7296) ),
inference(variable_rename,[status(thm)],[f_2873_1]) ).
fof(f_2873_3,plain,
! [U_7296] :
( ! [U_7295] :
( ( ( U_7295 = k21_rlvect_2(U_7296)
| ( ? [U_7293] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,sK887(U_7296,U_7295),U_7293) != k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,sK887(U_7296,U_7295)),k19_rlvect_2(U_7296,U_7293))
& m1_subset_1(U_7293,k18_rlvect_2(U_7296)) )
& m1_subset_1(sK887(U_7296,U_7295),k18_rlvect_2(U_7296)) ) )
& ( ! [U_7292] :
( ! [U_7291] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,U_7292,U_7291) = k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,U_7292),k19_rlvect_2(U_7296,U_7291))
| ~ m1_subset_1(U_7291,k18_rlvect_2(U_7296)) )
| ~ m1_subset_1(U_7292,k18_rlvect_2(U_7296)) )
| U_7295 != k21_rlvect_2(U_7296) ) )
| ~ m2_relset_1(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_2(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_1(U_7295) )
| ~ l2_rlvect_1(U_7296)
| ~ v7_rlvect_1(U_7296)
| ~ v6_rlvect_1(U_7296)
| ~ v5_rlvect_1(U_7296)
| ~ v4_rlvect_1(U_7296)
| ~ v3_rlvect_1(U_7296)
| v3_struct_0(U_7296) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK887]),skolemize(U_7294,sK887(U_7296,U_7295))],[f_2873_2]) ).
fof(f_2873_4,plain,
! [U_7296] :
( ! [U_7295] :
( ( ( U_7295 = k21_rlvect_2(U_7296)
| ( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,sK887(U_7296,U_7295),sK888(U_7296,U_7295)) != k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,sK887(U_7296,U_7295)),k19_rlvect_2(U_7296,sK888(U_7296,U_7295)))
& m1_subset_1(sK888(U_7296,U_7295),k18_rlvect_2(U_7296))
& m1_subset_1(sK887(U_7296,U_7295),k18_rlvect_2(U_7296)) ) )
& ( ! [U_7292] :
( ! [U_7291] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,U_7292,U_7291) = k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,U_7292),k19_rlvect_2(U_7296,U_7291))
| ~ m1_subset_1(U_7291,k18_rlvect_2(U_7296)) )
| ~ m1_subset_1(U_7292,k18_rlvect_2(U_7296)) )
| U_7295 != k21_rlvect_2(U_7296) ) )
| ~ m2_relset_1(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_2(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_1(U_7295) )
| ~ l2_rlvect_1(U_7296)
| ~ v7_rlvect_1(U_7296)
| ~ v6_rlvect_1(U_7296)
| ~ v5_rlvect_1(U_7296)
| ~ v4_rlvect_1(U_7296)
| ~ v3_rlvect_1(U_7296)
| v3_struct_0(U_7296) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK888]),skolemize(U_7293,sK888(U_7296,U_7295))],[f_2873_3]) ).
fof(f_2873_5,plain,
( ! [U_7295,U_7296] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,sK887(U_7296,U_7295),sK888(U_7296,U_7295)) != k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,sK887(U_7296,U_7295)),k19_rlvect_2(U_7296,sK888(U_7296,U_7295)))
| ~ sP1307(U_7295,U_7296) )
& ! [U_7295,U_7296] :
( m1_subset_1(sK888(U_7296,U_7295),k18_rlvect_2(U_7296))
| ~ sP1307(U_7295,U_7296) )
& ! [U_7295,U_7296] :
( m1_subset_1(sK887(U_7296,U_7295),k18_rlvect_2(U_7296))
| ~ sP1307(U_7295,U_7296) )
& ! [U_7295,U_7296,U_7291,U_7292] :
( U_7295 = k21_rlvect_2(U_7296)
| sP1307(U_7295,U_7296)
| ~ sP1308(U_7295,U_7296,U_7291,U_7292) )
& ! [U_7295,U_7296,U_7291,U_7292] :
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,U_7292,U_7291) = k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,U_7292),k19_rlvect_2(U_7296,U_7291))
| ~ m1_subset_1(U_7291,k18_rlvect_2(U_7296))
| ~ m1_subset_1(U_7292,k18_rlvect_2(U_7296))
| U_7295 != k21_rlvect_2(U_7296)
| ~ sP1308(U_7295,U_7296,U_7291,U_7292) )
& ! [U_7295,U_7296,U_7291,U_7292] :
( sP1308(U_7295,U_7296,U_7291,U_7292)
| ~ m2_relset_1(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_2(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_1(U_7295)
| ~ l2_rlvect_1(U_7296)
| ~ v7_rlvect_1(U_7296)
| ~ v6_rlvect_1(U_7296)
| ~ v5_rlvect_1(U_7296)
| ~ v4_rlvect_1(U_7296)
| ~ v3_rlvect_1(U_7296)
| v3_struct_0(U_7296) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1307,sP1308])],[f_2873_4]) ).
cnf(f_2873_6,plain,
( sP1308(U_7295,U_7296,U_7291,U_7292)
| ~ m2_relset_1(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_2(U_7295,k2_zfmisc_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296)),k18_rlvect_2(U_7296))
| ~ v1_funct_1(U_7295)
| ~ l2_rlvect_1(U_7296)
| ~ v7_rlvect_1(U_7296)
| ~ v6_rlvect_1(U_7296)
| ~ v5_rlvect_1(U_7296)
| ~ v4_rlvect_1(U_7296)
| ~ v3_rlvect_1(U_7296)
| v3_struct_0(U_7296) ),
inference(clausify,[status(thm)],[f_2873_5]) ).
cnf(f_2873_7,plain,
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,U_7292,U_7291) = k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,U_7292),k19_rlvect_2(U_7296,U_7291))
| ~ m1_subset_1(U_7291,k18_rlvect_2(U_7296))
| ~ m1_subset_1(U_7292,k18_rlvect_2(U_7296))
| U_7295 != k21_rlvect_2(U_7296)
| ~ sP1308(U_7295,U_7296,U_7291,U_7292) ),
inference(clausify,[status(thm)],[f_2873_5]) ).
cnf(f_2873_8,plain,
( U_7295 = k21_rlvect_2(U_7296)
| sP1307(U_7295,U_7296)
| ~ sP1308(U_7295,U_7296,U_7291,U_7292) ),
inference(clausify,[status(thm)],[f_2873_5]) ).
cnf(f_2873_9,plain,
( m1_subset_1(sK887(U_7296,U_7295),k18_rlvect_2(U_7296))
| ~ sP1307(U_7295,U_7296) ),
inference(clausify,[status(thm)],[f_2873_5]) ).
cnf(f_2873_10,plain,
( m1_subset_1(sK888(U_7296,U_7295),k18_rlvect_2(U_7296))
| ~ sP1307(U_7295,U_7296) ),
inference(clausify,[status(thm)],[f_2873_5]) ).
cnf(f_2873_11,plain,
( k2_binop_1(k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),k18_rlvect_2(U_7296),U_7295,sK887(U_7296,U_7295),sK888(U_7296,U_7295)) != k14_rlvect_2(U_7296,k19_rlvect_2(U_7296,sK887(U_7296,U_7295)),k19_rlvect_2(U_7296,sK888(U_7296,U_7295)))
| ~ sP1307(U_7295,U_7296) ),
inference(clausify,[status(thm)],[f_2873_5]) ).
fof(f_2874_1,plain,
! [A] :
( ! [B] :
( ( ( B = k22_rlvect_2(A)
| ? [C] :
( ? [D] :
( k1_funct_1(B,k4_tarski(C,D)) != k15_rlvect_2(A,C,k19_rlvect_2(A,D))
& m1_subset_1(D,k18_rlvect_2(A)) )
& m1_subset_1(C,k1_numbers) ) )
& ( ! [C] :
( ! [D] :
( k1_funct_1(B,k4_tarski(C,D)) = k15_rlvect_2(A,C,k19_rlvect_2(A,D))
| ~ m1_subset_1(D,k18_rlvect_2(A)) )
| ~ m1_subset_1(C,k1_numbers) )
| B != k22_rlvect_2(A) ) )
| ~ m2_relset_1(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
| ~ v1_funct_2(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
| ~ v1_funct_1(B) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d20_rlvect_2]) ).
fof(f_2874_2,plain,
! [U_7302] :
( ! [U_7301] :
( ( ( U_7301 = k22_rlvect_2(U_7302)
| ? [U_7300] :
( ? [U_7299] :
( k1_funct_1(U_7301,k4_tarski(U_7300,U_7299)) != k15_rlvect_2(U_7302,U_7300,k19_rlvect_2(U_7302,U_7299))
& m1_subset_1(U_7299,k18_rlvect_2(U_7302)) )
& m1_subset_1(U_7300,k1_numbers) ) )
& ( ! [U_7298] :
( ! [U_7297] :
( k1_funct_1(U_7301,k4_tarski(U_7298,U_7297)) = k15_rlvect_2(U_7302,U_7298,k19_rlvect_2(U_7302,U_7297))
| ~ m1_subset_1(U_7297,k18_rlvect_2(U_7302)) )
| ~ m1_subset_1(U_7298,k1_numbers) )
| U_7301 != k22_rlvect_2(U_7302) ) )
| ~ m2_relset_1(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_2(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_1(U_7301) )
| ~ l2_rlvect_1(U_7302)
| ~ v7_rlvect_1(U_7302)
| ~ v6_rlvect_1(U_7302)
| ~ v5_rlvect_1(U_7302)
| ~ v4_rlvect_1(U_7302)
| ~ v3_rlvect_1(U_7302)
| v3_struct_0(U_7302) ),
inference(variable_rename,[status(thm)],[f_2874_1]) ).
fof(f_2874_3,plain,
! [U_7302] :
( ! [U_7301] :
( ( ( U_7301 = k22_rlvect_2(U_7302)
| ( ? [U_7299] :
( k1_funct_1(U_7301,k4_tarski(sK889(U_7302,U_7301),U_7299)) != k15_rlvect_2(U_7302,sK889(U_7302,U_7301),k19_rlvect_2(U_7302,U_7299))
& m1_subset_1(U_7299,k18_rlvect_2(U_7302)) )
& m1_subset_1(sK889(U_7302,U_7301),k1_numbers) ) )
& ( ! [U_7298] :
( ! [U_7297] :
( k1_funct_1(U_7301,k4_tarski(U_7298,U_7297)) = k15_rlvect_2(U_7302,U_7298,k19_rlvect_2(U_7302,U_7297))
| ~ m1_subset_1(U_7297,k18_rlvect_2(U_7302)) )
| ~ m1_subset_1(U_7298,k1_numbers) )
| U_7301 != k22_rlvect_2(U_7302) ) )
| ~ m2_relset_1(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_2(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_1(U_7301) )
| ~ l2_rlvect_1(U_7302)
| ~ v7_rlvect_1(U_7302)
| ~ v6_rlvect_1(U_7302)
| ~ v5_rlvect_1(U_7302)
| ~ v4_rlvect_1(U_7302)
| ~ v3_rlvect_1(U_7302)
| v3_struct_0(U_7302) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK889]),skolemize(U_7300,sK889(U_7302,U_7301))],[f_2874_2]) ).
fof(f_2874_4,plain,
! [U_7302] :
( ! [U_7301] :
( ( ( U_7301 = k22_rlvect_2(U_7302)
| ( k1_funct_1(U_7301,k4_tarski(sK889(U_7302,U_7301),sK890(U_7302,U_7301))) != k15_rlvect_2(U_7302,sK889(U_7302,U_7301),k19_rlvect_2(U_7302,sK890(U_7302,U_7301)))
& m1_subset_1(sK890(U_7302,U_7301),k18_rlvect_2(U_7302))
& m1_subset_1(sK889(U_7302,U_7301),k1_numbers) ) )
& ( ! [U_7298] :
( ! [U_7297] :
( k1_funct_1(U_7301,k4_tarski(U_7298,U_7297)) = k15_rlvect_2(U_7302,U_7298,k19_rlvect_2(U_7302,U_7297))
| ~ m1_subset_1(U_7297,k18_rlvect_2(U_7302)) )
| ~ m1_subset_1(U_7298,k1_numbers) )
| U_7301 != k22_rlvect_2(U_7302) ) )
| ~ m2_relset_1(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_2(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_1(U_7301) )
| ~ l2_rlvect_1(U_7302)
| ~ v7_rlvect_1(U_7302)
| ~ v6_rlvect_1(U_7302)
| ~ v5_rlvect_1(U_7302)
| ~ v4_rlvect_1(U_7302)
| ~ v3_rlvect_1(U_7302)
| v3_struct_0(U_7302) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK890]),skolemize(U_7299,sK890(U_7302,U_7301))],[f_2874_3]) ).
fof(f_2874_5,plain,
( ! [U_7301,U_7302] :
( k1_funct_1(U_7301,k4_tarski(sK889(U_7302,U_7301),sK890(U_7302,U_7301))) != k15_rlvect_2(U_7302,sK889(U_7302,U_7301),k19_rlvect_2(U_7302,sK890(U_7302,U_7301)))
| ~ sP1309(U_7301,U_7302) )
& ! [U_7301,U_7302] :
( m1_subset_1(sK890(U_7302,U_7301),k18_rlvect_2(U_7302))
| ~ sP1309(U_7301,U_7302) )
& ! [U_7301,U_7302] :
( m1_subset_1(sK889(U_7302,U_7301),k1_numbers)
| ~ sP1309(U_7301,U_7302) )
& ! [U_7298,U_7301,U_7297,U_7302] :
( U_7301 = k22_rlvect_2(U_7302)
| sP1309(U_7301,U_7302)
| ~ sP1310(U_7298,U_7301,U_7297,U_7302) )
& ! [U_7298,U_7301,U_7297,U_7302] :
( k1_funct_1(U_7301,k4_tarski(U_7298,U_7297)) = k15_rlvect_2(U_7302,U_7298,k19_rlvect_2(U_7302,U_7297))
| ~ m1_subset_1(U_7297,k18_rlvect_2(U_7302))
| ~ m1_subset_1(U_7298,k1_numbers)
| U_7301 != k22_rlvect_2(U_7302)
| ~ sP1310(U_7298,U_7301,U_7297,U_7302) )
& ! [U_7298,U_7301,U_7297,U_7302] :
( sP1310(U_7298,U_7301,U_7297,U_7302)
| ~ m2_relset_1(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_2(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_1(U_7301)
| ~ l2_rlvect_1(U_7302)
| ~ v7_rlvect_1(U_7302)
| ~ v6_rlvect_1(U_7302)
| ~ v5_rlvect_1(U_7302)
| ~ v4_rlvect_1(U_7302)
| ~ v3_rlvect_1(U_7302)
| v3_struct_0(U_7302) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1309,sP1310])],[f_2874_4]) ).
cnf(f_2874_6,plain,
( sP1310(U_7298,U_7301,U_7297,U_7302)
| ~ m2_relset_1(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_2(U_7301,k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7302)),k18_rlvect_2(U_7302))
| ~ v1_funct_1(U_7301)
| ~ l2_rlvect_1(U_7302)
| ~ v7_rlvect_1(U_7302)
| ~ v6_rlvect_1(U_7302)
| ~ v5_rlvect_1(U_7302)
| ~ v4_rlvect_1(U_7302)
| ~ v3_rlvect_1(U_7302)
| v3_struct_0(U_7302) ),
inference(clausify,[status(thm)],[f_2874_5]) ).
cnf(f_2874_7,plain,
( k1_funct_1(U_7301,k4_tarski(U_7298,U_7297)) = k15_rlvect_2(U_7302,U_7298,k19_rlvect_2(U_7302,U_7297))
| ~ m1_subset_1(U_7297,k18_rlvect_2(U_7302))
| ~ m1_subset_1(U_7298,k1_numbers)
| U_7301 != k22_rlvect_2(U_7302)
| ~ sP1310(U_7298,U_7301,U_7297,U_7302) ),
inference(clausify,[status(thm)],[f_2874_5]) ).
cnf(f_2874_8,plain,
( U_7301 = k22_rlvect_2(U_7302)
| sP1309(U_7301,U_7302)
| ~ sP1310(U_7298,U_7301,U_7297,U_7302) ),
inference(clausify,[status(thm)],[f_2874_5]) ).
cnf(f_2874_9,plain,
( m1_subset_1(sK889(U_7302,U_7301),k1_numbers)
| ~ sP1309(U_7301,U_7302) ),
inference(clausify,[status(thm)],[f_2874_5]) ).
cnf(f_2874_10,plain,
( m1_subset_1(sK890(U_7302,U_7301),k18_rlvect_2(U_7302))
| ~ sP1309(U_7301,U_7302) ),
inference(clausify,[status(thm)],[f_2874_5]) ).
cnf(f_2874_11,plain,
( k1_funct_1(U_7301,k4_tarski(sK889(U_7302,U_7301),sK890(U_7302,U_7301))) != k15_rlvect_2(U_7302,sK889(U_7302,U_7301),k19_rlvect_2(U_7302,sK890(U_7302,U_7301)))
| ~ sP1309(U_7301,U_7302) ),
inference(clausify,[status(thm)],[f_2874_5]) ).
fof(f_2875_1,plain,
! [A] :
( k23_rlvect_2(A) = g2_rlvect_1(k18_rlvect_2(A),k20_rlvect_2(A,k11_rlvect_2(A)),k21_rlvect_2(A),k22_rlvect_2(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d21_rlvect_2]) ).
fof(f_2875_2,plain,
! [U_7303] :
( k23_rlvect_2(U_7303) = g2_rlvect_1(k18_rlvect_2(U_7303),k20_rlvect_2(U_7303,k11_rlvect_2(U_7303)),k21_rlvect_2(U_7303),k22_rlvect_2(U_7303))
| ~ l2_rlvect_1(U_7303)
| ~ v7_rlvect_1(U_7303)
| ~ v6_rlvect_1(U_7303)
| ~ v5_rlvect_1(U_7303)
| ~ v4_rlvect_1(U_7303)
| ~ v3_rlvect_1(U_7303)
| v3_struct_0(U_7303) ),
inference(variable_rename,[status(thm)],[f_2875_1]) ).
fof(f_2875_3,plain,
! [U_7303] :
( k23_rlvect_2(U_7303) = g2_rlvect_1(k18_rlvect_2(U_7303),k20_rlvect_2(U_7303,k11_rlvect_2(U_7303)),k21_rlvect_2(U_7303),k22_rlvect_2(U_7303))
| ~ l2_rlvect_1(U_7303)
| ~ v7_rlvect_1(U_7303)
| ~ v6_rlvect_1(U_7303)
| ~ v5_rlvect_1(U_7303)
| ~ v4_rlvect_1(U_7303)
| ~ v3_rlvect_1(U_7303)
| v3_struct_0(U_7303) ),
inference(definitional_conversion,[status(esa)],[f_2875_2]) ).
cnf(f_2875_4,plain,
( k23_rlvect_2(U_7303) = g2_rlvect_1(k18_rlvect_2(U_7303),k20_rlvect_2(U_7303,k11_rlvect_2(U_7303)),k21_rlvect_2(U_7303),k22_rlvect_2(U_7303))
| ~ l2_rlvect_1(U_7303)
| ~ v7_rlvect_1(U_7303)
| ~ v6_rlvect_1(U_7303)
| ~ v5_rlvect_1(U_7303)
| ~ v4_rlvect_1(U_7303)
| ~ v3_rlvect_1(U_7303)
| v3_struct_0(U_7303) ),
inference(clausify,[status(thm)],[f_2875_3]) ).
fof(f_2876_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t83_rlvect_2]) ).
fof(f_2876_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2876_1]) ).
cnf(f_2876_3,plain,
$true,
inference(clausify,[status(thm)],[f_2876_2]) ).
fof(f_2877_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t84_rlvect_2]) ).
fof(f_2877_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2877_1]) ).
cnf(f_2877_3,plain,
$true,
inference(clausify,[status(thm)],[f_2877_2]) ).
fof(f_2878_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t85_rlvect_2]) ).
fof(f_2878_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2878_1]) ).
cnf(f_2878_3,plain,
$true,
inference(clausify,[status(thm)],[f_2878_2]) ).
fof(f_2879_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t86_rlvect_2]) ).
fof(f_2879_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2879_1]) ).
cnf(f_2879_3,plain,
$true,
inference(clausify,[status(thm)],[f_2879_2]) ).
fof(f_2880_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t87_rlvect_2]) ).
fof(f_2880_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2880_1]) ).
cnf(f_2880_3,plain,
$true,
inference(clausify,[status(thm)],[f_2880_2]) ).
fof(f_2881_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t88_rlvect_2]) ).
fof(f_2881_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2881_1]) ).
cnf(f_2881_3,plain,
$true,
inference(clausify,[status(thm)],[f_2881_2]) ).
fof(f_2882_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t89_rlvect_2]) ).
fof(f_2882_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2882_1]) ).
cnf(f_2882_3,plain,
$true,
inference(clausify,[status(thm)],[f_2882_2]) ).
fof(f_2883_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t90_rlvect_2]) ).
fof(f_2883_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2883_1]) ).
cnf(f_2883_3,plain,
$true,
inference(clausify,[status(thm)],[f_2883_2]) ).
fof(f_2884_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t91_rlvect_2]) ).
fof(f_2884_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2884_1]) ).
cnf(f_2884_3,plain,
$true,
inference(clausify,[status(thm)],[f_2884_2]) ).
fof(f_2885_1,plain,
! [A] :
( u1_struct_0(k23_rlvect_2(A)) = k18_rlvect_2(A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t92_rlvect_2]) ).
fof(f_2885_2,plain,
! [U_7304] :
( u1_struct_0(k23_rlvect_2(U_7304)) = k18_rlvect_2(U_7304)
| ~ l2_rlvect_1(U_7304)
| ~ v7_rlvect_1(U_7304)
| ~ v6_rlvect_1(U_7304)
| ~ v5_rlvect_1(U_7304)
| ~ v4_rlvect_1(U_7304)
| ~ v3_rlvect_1(U_7304)
| v3_struct_0(U_7304) ),
inference(variable_rename,[status(thm)],[f_2885_1]) ).
fof(f_2885_3,plain,
! [U_7304] :
( u1_struct_0(k23_rlvect_2(U_7304)) = k18_rlvect_2(U_7304)
| ~ l2_rlvect_1(U_7304)
| ~ v7_rlvect_1(U_7304)
| ~ v6_rlvect_1(U_7304)
| ~ v5_rlvect_1(U_7304)
| ~ v4_rlvect_1(U_7304)
| ~ v3_rlvect_1(U_7304)
| v3_struct_0(U_7304) ),
inference(definitional_conversion,[status(esa)],[f_2885_2]) ).
cnf(f_2885_4,plain,
( u1_struct_0(k23_rlvect_2(U_7304)) = k18_rlvect_2(U_7304)
| ~ l2_rlvect_1(U_7304)
| ~ v7_rlvect_1(U_7304)
| ~ v6_rlvect_1(U_7304)
| ~ v5_rlvect_1(U_7304)
| ~ v4_rlvect_1(U_7304)
| ~ v3_rlvect_1(U_7304)
| v3_struct_0(U_7304) ),
inference(clausify,[status(thm)],[f_2885_3]) ).
fof(f_2886_1,plain,
! [A] :
( u2_struct_0(k23_rlvect_2(A)) = k11_rlvect_2(A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t93_rlvect_2]) ).
fof(f_2886_2,plain,
! [U_7305] :
( u2_struct_0(k23_rlvect_2(U_7305)) = k11_rlvect_2(U_7305)
| ~ l2_rlvect_1(U_7305)
| ~ v7_rlvect_1(U_7305)
| ~ v6_rlvect_1(U_7305)
| ~ v5_rlvect_1(U_7305)
| ~ v4_rlvect_1(U_7305)
| ~ v3_rlvect_1(U_7305)
| v3_struct_0(U_7305) ),
inference(variable_rename,[status(thm)],[f_2886_1]) ).
fof(f_2886_3,plain,
! [U_7305] :
( u2_struct_0(k23_rlvect_2(U_7305)) = k11_rlvect_2(U_7305)
| ~ l2_rlvect_1(U_7305)
| ~ v7_rlvect_1(U_7305)
| ~ v6_rlvect_1(U_7305)
| ~ v5_rlvect_1(U_7305)
| ~ v4_rlvect_1(U_7305)
| ~ v3_rlvect_1(U_7305)
| v3_struct_0(U_7305) ),
inference(definitional_conversion,[status(esa)],[f_2886_2]) ).
cnf(f_2886_4,plain,
( u2_struct_0(k23_rlvect_2(U_7305)) = k11_rlvect_2(U_7305)
| ~ l2_rlvect_1(U_7305)
| ~ v7_rlvect_1(U_7305)
| ~ v6_rlvect_1(U_7305)
| ~ v5_rlvect_1(U_7305)
| ~ v4_rlvect_1(U_7305)
| ~ v3_rlvect_1(U_7305)
| v3_struct_0(U_7305) ),
inference(clausify,[status(thm)],[f_2886_3]) ).
fof(f_2887_1,plain,
! [A] :
( u1_rlvect_1(k23_rlvect_2(A)) = k21_rlvect_2(A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t94_rlvect_2]) ).
fof(f_2887_2,plain,
! [U_7306] :
( u1_rlvect_1(k23_rlvect_2(U_7306)) = k21_rlvect_2(U_7306)
| ~ l2_rlvect_1(U_7306)
| ~ v7_rlvect_1(U_7306)
| ~ v6_rlvect_1(U_7306)
| ~ v5_rlvect_1(U_7306)
| ~ v4_rlvect_1(U_7306)
| ~ v3_rlvect_1(U_7306)
| v3_struct_0(U_7306) ),
inference(variable_rename,[status(thm)],[f_2887_1]) ).
fof(f_2887_3,plain,
! [U_7306] :
( u1_rlvect_1(k23_rlvect_2(U_7306)) = k21_rlvect_2(U_7306)
| ~ l2_rlvect_1(U_7306)
| ~ v7_rlvect_1(U_7306)
| ~ v6_rlvect_1(U_7306)
| ~ v5_rlvect_1(U_7306)
| ~ v4_rlvect_1(U_7306)
| ~ v3_rlvect_1(U_7306)
| v3_struct_0(U_7306) ),
inference(definitional_conversion,[status(esa)],[f_2887_2]) ).
cnf(f_2887_4,plain,
( u1_rlvect_1(k23_rlvect_2(U_7306)) = k21_rlvect_2(U_7306)
| ~ l2_rlvect_1(U_7306)
| ~ v7_rlvect_1(U_7306)
| ~ v6_rlvect_1(U_7306)
| ~ v5_rlvect_1(U_7306)
| ~ v4_rlvect_1(U_7306)
| ~ v3_rlvect_1(U_7306)
| v3_struct_0(U_7306) ),
inference(clausify,[status(thm)],[f_2887_3]) ).
fof(f_2888_1,plain,
! [A] :
( u2_rlvect_1(k23_rlvect_2(A)) = k22_rlvect_2(A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t95_rlvect_2]) ).
fof(f_2888_2,plain,
! [U_7307] :
( u2_rlvect_1(k23_rlvect_2(U_7307)) = k22_rlvect_2(U_7307)
| ~ l2_rlvect_1(U_7307)
| ~ v7_rlvect_1(U_7307)
| ~ v6_rlvect_1(U_7307)
| ~ v5_rlvect_1(U_7307)
| ~ v4_rlvect_1(U_7307)
| ~ v3_rlvect_1(U_7307)
| v3_struct_0(U_7307) ),
inference(variable_rename,[status(thm)],[f_2888_1]) ).
fof(f_2888_3,plain,
! [U_7307] :
( u2_rlvect_1(k23_rlvect_2(U_7307)) = k22_rlvect_2(U_7307)
| ~ l2_rlvect_1(U_7307)
| ~ v7_rlvect_1(U_7307)
| ~ v6_rlvect_1(U_7307)
| ~ v5_rlvect_1(U_7307)
| ~ v4_rlvect_1(U_7307)
| ~ v3_rlvect_1(U_7307)
| v3_struct_0(U_7307) ),
inference(definitional_conversion,[status(esa)],[f_2888_2]) ).
cnf(f_2888_4,plain,
( u2_rlvect_1(k23_rlvect_2(U_7307)) = k22_rlvect_2(U_7307)
| ~ l2_rlvect_1(U_7307)
| ~ v7_rlvect_1(U_7307)
| ~ v6_rlvect_1(U_7307)
| ~ v5_rlvect_1(U_7307)
| ~ v4_rlvect_1(U_7307)
| ~ v3_rlvect_1(U_7307)
| v3_struct_0(U_7307) ),
inference(clausify,[status(thm)],[f_2888_3]) ).
fof(f_2889_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k4_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)) = k14_rlvect_2(A,B,C)
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t96_rlvect_2]) ).
fof(f_2889_2,plain,
! [U_7310] :
( ! [U_7309] :
( ! [U_7308] :
( k4_rlvect_1(k23_rlvect_2(U_7310),k1_rlvect_2(k23_rlvect_2(U_7310),U_7309),k1_rlvect_2(k23_rlvect_2(U_7310),U_7308)) = k14_rlvect_2(U_7310,U_7309,U_7308)
| ~ m1_rlvect_2(U_7308,U_7310) )
| ~ m1_rlvect_2(U_7309,U_7310) )
| ~ l2_rlvect_1(U_7310)
| ~ v7_rlvect_1(U_7310)
| ~ v6_rlvect_1(U_7310)
| ~ v5_rlvect_1(U_7310)
| ~ v4_rlvect_1(U_7310)
| ~ v3_rlvect_1(U_7310)
| v3_struct_0(U_7310) ),
inference(variable_rename,[status(thm)],[f_2889_1]) ).
fof(f_2889_3,plain,
! [U_7310,U_7308,U_7309] :
( k4_rlvect_1(k23_rlvect_2(U_7310),k1_rlvect_2(k23_rlvect_2(U_7310),U_7309),k1_rlvect_2(k23_rlvect_2(U_7310),U_7308)) = k14_rlvect_2(U_7310,U_7309,U_7308)
| ~ m1_rlvect_2(U_7308,U_7310)
| ~ m1_rlvect_2(U_7309,U_7310)
| ~ l2_rlvect_1(U_7310)
| ~ v7_rlvect_1(U_7310)
| ~ v6_rlvect_1(U_7310)
| ~ v5_rlvect_1(U_7310)
| ~ v4_rlvect_1(U_7310)
| ~ v3_rlvect_1(U_7310)
| v3_struct_0(U_7310) ),
inference(definitional_conversion,[status(esa)],[f_2889_2]) ).
cnf(f_2889_4,plain,
( k4_rlvect_1(k23_rlvect_2(U_7310),k1_rlvect_2(k23_rlvect_2(U_7310),U_7309),k1_rlvect_2(k23_rlvect_2(U_7310),U_7308)) = k14_rlvect_2(U_7310,U_7309,U_7308)
| ~ m1_rlvect_2(U_7308,U_7310)
| ~ m1_rlvect_2(U_7309,U_7310)
| ~ l2_rlvect_1(U_7310)
| ~ v7_rlvect_1(U_7310)
| ~ v6_rlvect_1(U_7310)
| ~ v5_rlvect_1(U_7310)
| ~ v4_rlvect_1(U_7310)
| ~ v3_rlvect_1(U_7310)
| v3_struct_0(U_7310) ),
inference(clausify,[status(thm)],[f_2889_3]) ).
fof(f_2890_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),C),B) = k15_rlvect_2(A,B,C)
| ~ m1_rlvect_2(C,A) )
| ~ m1_subset_1(B,k1_numbers) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t97_rlvect_2]) ).
fof(f_2890_2,plain,
! [U_7313] :
( ! [U_7312] :
( ! [U_7311] :
( k3_rlvect_1(k23_rlvect_2(U_7313),k1_rlvect_2(k23_rlvect_2(U_7313),U_7311),U_7312) = k15_rlvect_2(U_7313,U_7312,U_7311)
| ~ m1_rlvect_2(U_7311,U_7313) )
| ~ m1_subset_1(U_7312,k1_numbers) )
| ~ l2_rlvect_1(U_7313)
| ~ v7_rlvect_1(U_7313)
| ~ v6_rlvect_1(U_7313)
| ~ v5_rlvect_1(U_7313)
| ~ v4_rlvect_1(U_7313)
| ~ v3_rlvect_1(U_7313)
| v3_struct_0(U_7313) ),
inference(variable_rename,[status(thm)],[f_2890_1]) ).
fof(f_2890_3,plain,
! [U_7311,U_7312,U_7313] :
( k3_rlvect_1(k23_rlvect_2(U_7313),k1_rlvect_2(k23_rlvect_2(U_7313),U_7311),U_7312) = k15_rlvect_2(U_7313,U_7312,U_7311)
| ~ m1_rlvect_2(U_7311,U_7313)
| ~ m1_subset_1(U_7312,k1_numbers)
| ~ l2_rlvect_1(U_7313)
| ~ v7_rlvect_1(U_7313)
| ~ v6_rlvect_1(U_7313)
| ~ v5_rlvect_1(U_7313)
| ~ v4_rlvect_1(U_7313)
| ~ v3_rlvect_1(U_7313)
| v3_struct_0(U_7313) ),
inference(definitional_conversion,[status(esa)],[f_2890_2]) ).
cnf(f_2890_4,plain,
( k3_rlvect_1(k23_rlvect_2(U_7313),k1_rlvect_2(k23_rlvect_2(U_7313),U_7311),U_7312) = k15_rlvect_2(U_7313,U_7312,U_7311)
| ~ m1_rlvect_2(U_7311,U_7313)
| ~ m1_subset_1(U_7312,k1_numbers)
| ~ l2_rlvect_1(U_7313)
| ~ v7_rlvect_1(U_7313)
| ~ v6_rlvect_1(U_7313)
| ~ v5_rlvect_1(U_7313)
| ~ v4_rlvect_1(U_7313)
| ~ v3_rlvect_1(U_7313)
| v3_struct_0(U_7313) ),
inference(clausify,[status(thm)],[f_2890_3]) ).
fof(f_2891_1,plain,
! [A] :
( ! [B] :
( k5_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B)) = k16_rlvect_2(A,B)
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t98_rlvect_2]) ).
fof(f_2891_2,plain,
! [U_7315] :
( ! [U_7314] :
( k5_rlvect_1(k23_rlvect_2(U_7315),k1_rlvect_2(k23_rlvect_2(U_7315),U_7314)) = k16_rlvect_2(U_7315,U_7314)
| ~ m1_rlvect_2(U_7314,U_7315) )
| ~ l2_rlvect_1(U_7315)
| ~ v7_rlvect_1(U_7315)
| ~ v6_rlvect_1(U_7315)
| ~ v5_rlvect_1(U_7315)
| ~ v4_rlvect_1(U_7315)
| ~ v3_rlvect_1(U_7315)
| v3_struct_0(U_7315) ),
inference(variable_rename,[status(thm)],[f_2891_1]) ).
fof(f_2891_3,plain,
! [U_7314,U_7315] :
( k5_rlvect_1(k23_rlvect_2(U_7315),k1_rlvect_2(k23_rlvect_2(U_7315),U_7314)) = k16_rlvect_2(U_7315,U_7314)
| ~ m1_rlvect_2(U_7314,U_7315)
| ~ l2_rlvect_1(U_7315)
| ~ v7_rlvect_1(U_7315)
| ~ v6_rlvect_1(U_7315)
| ~ v5_rlvect_1(U_7315)
| ~ v4_rlvect_1(U_7315)
| ~ v3_rlvect_1(U_7315)
| v3_struct_0(U_7315) ),
inference(definitional_conversion,[status(esa)],[f_2891_2]) ).
cnf(f_2891_4,plain,
( k5_rlvect_1(k23_rlvect_2(U_7315),k1_rlvect_2(k23_rlvect_2(U_7315),U_7314)) = k16_rlvect_2(U_7315,U_7314)
| ~ m1_rlvect_2(U_7314,U_7315)
| ~ l2_rlvect_1(U_7315)
| ~ v7_rlvect_1(U_7315)
| ~ v6_rlvect_1(U_7315)
| ~ v5_rlvect_1(U_7315)
| ~ v4_rlvect_1(U_7315)
| ~ v3_rlvect_1(U_7315)
| v3_struct_0(U_7315) ),
inference(clausify,[status(thm)],[f_2891_3]) ).
fof(f_2892_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)) = k17_rlvect_2(A,B,C)
| ~ m1_rlvect_2(C,A) )
| ~ m1_rlvect_2(B,A) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t99_rlvect_2]) ).
fof(f_2892_2,plain,
! [U_7318] :
( ! [U_7317] :
( ! [U_7316] :
( k6_rlvect_1(k23_rlvect_2(U_7318),k1_rlvect_2(k23_rlvect_2(U_7318),U_7317),k1_rlvect_2(k23_rlvect_2(U_7318),U_7316)) = k17_rlvect_2(U_7318,U_7317,U_7316)
| ~ m1_rlvect_2(U_7316,U_7318) )
| ~ m1_rlvect_2(U_7317,U_7318) )
| ~ l2_rlvect_1(U_7318)
| ~ v7_rlvect_1(U_7318)
| ~ v6_rlvect_1(U_7318)
| ~ v5_rlvect_1(U_7318)
| ~ v4_rlvect_1(U_7318)
| ~ v3_rlvect_1(U_7318)
| v3_struct_0(U_7318) ),
inference(variable_rename,[status(thm)],[f_2892_1]) ).
fof(f_2892_3,plain,
! [U_7317,U_7318,U_7316] :
( k6_rlvect_1(k23_rlvect_2(U_7318),k1_rlvect_2(k23_rlvect_2(U_7318),U_7317),k1_rlvect_2(k23_rlvect_2(U_7318),U_7316)) = k17_rlvect_2(U_7318,U_7317,U_7316)
| ~ m1_rlvect_2(U_7316,U_7318)
| ~ m1_rlvect_2(U_7317,U_7318)
| ~ l2_rlvect_1(U_7318)
| ~ v7_rlvect_1(U_7318)
| ~ v6_rlvect_1(U_7318)
| ~ v5_rlvect_1(U_7318)
| ~ v4_rlvect_1(U_7318)
| ~ v3_rlvect_1(U_7318)
| v3_struct_0(U_7318) ),
inference(definitional_conversion,[status(esa)],[f_2892_2]) ).
cnf(f_2892_4,plain,
( k6_rlvect_1(k23_rlvect_2(U_7318),k1_rlvect_2(k23_rlvect_2(U_7318),U_7317),k1_rlvect_2(k23_rlvect_2(U_7318),U_7316)) = k17_rlvect_2(U_7318,U_7317,U_7316)
| ~ m1_rlvect_2(U_7316,U_7318)
| ~ m1_rlvect_2(U_7317,U_7318)
| ~ l2_rlvect_1(U_7318)
| ~ v7_rlvect_1(U_7318)
| ~ v6_rlvect_1(U_7318)
| ~ v5_rlvect_1(U_7318)
| ~ v4_rlvect_1(U_7318)
| ~ v3_rlvect_1(U_7318)
| v3_struct_0(U_7318) ),
inference(clausify,[status(thm)],[f_2892_3]) ).
fof(f_2893_1,plain,
! [A] :
( ! [B] :
( m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers))
| ~ m1_rlvect_2(B,A) )
| ~ l2_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_rlvect_2]) ).
fof(f_2893_2,plain,
! [U_7320] :
( ! [U_7319] :
( m2_fraenkel(U_7319,u1_struct_0(U_7320),k1_numbers,k1_fraenkel(u1_struct_0(U_7320),k1_numbers))
| ~ m1_rlvect_2(U_7319,U_7320) )
| ~ l2_struct_0(U_7320)
| v3_struct_0(U_7320) ),
inference(variable_rename,[status(thm)],[f_2893_1]) ).
fof(f_2893_3,plain,
! [U_7320,U_7319] :
( m2_fraenkel(U_7319,u1_struct_0(U_7320),k1_numbers,k1_fraenkel(u1_struct_0(U_7320),k1_numbers))
| ~ m1_rlvect_2(U_7319,U_7320)
| ~ l2_struct_0(U_7320)
| v3_struct_0(U_7320) ),
inference(definitional_conversion,[status(esa)],[f_2893_2]) ).
cnf(f_2893_4,plain,
( m2_fraenkel(U_7319,u1_struct_0(U_7320),k1_numbers,k1_fraenkel(u1_struct_0(U_7320),k1_numbers))
| ~ m1_rlvect_2(U_7319,U_7320)
| ~ l2_struct_0(U_7320)
| v3_struct_0(U_7320) ),
inference(clausify,[status(thm)],[f_2893_3]) ).
fof(f_2894_1,plain,
! [A] :
( ? [B] : m1_rlvect_2(B,A)
| ~ l2_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_rlvect_2]) ).
fof(f_2894_2,plain,
! [U_7322] :
( ? [U_7321] : m1_rlvect_2(U_7321,U_7322)
| ~ l2_struct_0(U_7322)
| v3_struct_0(U_7322) ),
inference(variable_rename,[status(thm)],[f_2894_1]) ).
fof(f_2894_3,plain,
! [U_7322] :
( m1_rlvect_2(sK891(U_7322),U_7322)
| ~ l2_struct_0(U_7322)
| v3_struct_0(U_7322) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK891]),skolemize(U_7321,sK891(U_7322))],[f_2894_2]) ).
fof(f_2894_4,plain,
! [U_7322] :
( m1_rlvect_2(sK891(U_7322),U_7322)
| ~ l2_struct_0(U_7322)
| v3_struct_0(U_7322) ),
inference(definitional_conversion,[status(esa)],[f_2894_3]) ).
cnf(f_2894_5,plain,
( m1_rlvect_2(sK891(U_7322),U_7322)
| ~ l2_struct_0(U_7322)
| v3_struct_0(U_7322) ),
inference(clausify,[status(thm)],[f_2894_4]) ).
fof(f_2895_1,plain,
! [A,B] :
( ! [C] :
( m1_rlvect_2(C,A)
| ~ m2_rlvect_2(C,A,B) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_rlvect_2]) ).
fof(f_2895_2,plain,
! [U_7325,U_7324] :
( ! [U_7323] :
( m1_rlvect_2(U_7323,U_7325)
| ~ m2_rlvect_2(U_7323,U_7325,U_7324) )
| ~ m1_subset_1(U_7324,k1_zfmisc_1(u1_struct_0(U_7325)))
| ~ l1_rlvect_1(U_7325)
| v3_struct_0(U_7325) ),
inference(variable_rename,[status(thm)],[f_2895_1]) ).
fof(f_2895_3,plain,
! [U_7324,U_7325,U_7323] :
( m1_rlvect_2(U_7323,U_7325)
| ~ m2_rlvect_2(U_7323,U_7325,U_7324)
| ~ m1_subset_1(U_7324,k1_zfmisc_1(u1_struct_0(U_7325)))
| ~ l1_rlvect_1(U_7325)
| v3_struct_0(U_7325) ),
inference(definitional_conversion,[status(esa)],[f_2895_2]) ).
cnf(f_2895_4,plain,
( m1_rlvect_2(U_7323,U_7325)
| ~ m2_rlvect_2(U_7323,U_7325,U_7324)
| ~ m1_subset_1(U_7324,k1_zfmisc_1(u1_struct_0(U_7325)))
| ~ l1_rlvect_1(U_7325)
| v3_struct_0(U_7325) ),
inference(clausify,[status(thm)],[f_2895_3]) ).
fof(f_2896_1,plain,
! [A,B] :
( ? [C] : m2_rlvect_2(C,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_rlvect_2]) ).
fof(f_2896_2,plain,
! [U_7328,U_7327] :
( ? [U_7326] : m2_rlvect_2(U_7326,U_7328,U_7327)
| ~ m1_subset_1(U_7327,k1_zfmisc_1(u1_struct_0(U_7328)))
| ~ l1_rlvect_1(U_7328)
| v3_struct_0(U_7328) ),
inference(variable_rename,[status(thm)],[f_2896_1]) ).
fof(f_2896_3,plain,
! [U_7328,U_7327] :
( m2_rlvect_2(sK892(U_7328,U_7327),U_7328,U_7327)
| ~ m1_subset_1(U_7327,k1_zfmisc_1(u1_struct_0(U_7328)))
| ~ l1_rlvect_1(U_7328)
| v3_struct_0(U_7328) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK892]),skolemize(U_7326,sK892(U_7328,U_7327))],[f_2896_2]) ).
fof(f_2896_4,plain,
! [U_7328,U_7327] :
( m2_rlvect_2(sK892(U_7328,U_7327),U_7328,U_7327)
| ~ m1_subset_1(U_7327,k1_zfmisc_1(u1_struct_0(U_7328)))
| ~ l1_rlvect_1(U_7328)
| v3_struct_0(U_7328) ),
inference(definitional_conversion,[status(esa)],[f_2896_3]) ).
cnf(f_2896_5,plain,
( m2_rlvect_2(sK892(U_7328,U_7327),U_7328,U_7327)
| ~ m1_subset_1(U_7327,k1_zfmisc_1(u1_struct_0(U_7328)))
| ~ l1_rlvect_1(U_7328)
| v3_struct_0(U_7328) ),
inference(clausify,[status(thm)],[f_2896_4]) ).
fof(f_2897_1,plain,
! [A,B,C] :
( r1_rlvect_2(A,C,B)
| ~ r1_rlvect_2(A,B,C)
| ~ m1_rlvect_2(C,A)
| ~ m1_rlvect_2(B,A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r1_rlvect_2]) ).
fof(f_2897_2,plain,
! [U_7331,U_7330,U_7329] :
( r1_rlvect_2(U_7331,U_7329,U_7330)
| ~ r1_rlvect_2(U_7331,U_7330,U_7329)
| ~ m1_rlvect_2(U_7329,U_7331)
| ~ m1_rlvect_2(U_7330,U_7331)
| ~ l1_rlvect_1(U_7331)
| v3_struct_0(U_7331) ),
inference(variable_rename,[status(thm)],[f_2897_1]) ).
fof(f_2897_3,plain,
! [U_7330,U_7331,U_7329] :
( r1_rlvect_2(U_7331,U_7329,U_7330)
| ~ r1_rlvect_2(U_7331,U_7330,U_7329)
| ~ m1_rlvect_2(U_7329,U_7331)
| ~ m1_rlvect_2(U_7330,U_7331)
| ~ l1_rlvect_1(U_7331)
| v3_struct_0(U_7331) ),
inference(definitional_conversion,[status(esa)],[f_2897_2]) ).
cnf(f_2897_4,plain,
( r1_rlvect_2(U_7331,U_7329,U_7330)
| ~ r1_rlvect_2(U_7331,U_7330,U_7329)
| ~ m1_rlvect_2(U_7329,U_7331)
| ~ m1_rlvect_2(U_7330,U_7331)
| ~ l1_rlvect_1(U_7331)
| v3_struct_0(U_7331) ),
inference(clausify,[status(thm)],[f_2897_3]) ).
fof(f_2898_1,plain,
! [A,B,C] :
( r1_rlvect_2(A,B,B)
| ~ m1_rlvect_2(C,A)
| ~ m1_rlvect_2(B,A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r1_rlvect_2]) ).
fof(f_2898_2,plain,
! [U_7334,U_7333,U_7332] :
( r1_rlvect_2(U_7334,U_7333,U_7333)
| ~ m1_rlvect_2(U_7332,U_7334)
| ~ m1_rlvect_2(U_7333,U_7334)
| ~ l1_rlvect_1(U_7334)
| v3_struct_0(U_7334) ),
inference(variable_rename,[status(thm)],[f_2898_1]) ).
fof(f_2898_3,plain,
! [U_7334,U_7333] :
( ! [U_7332] : ~ m1_rlvect_2(U_7332,U_7334)
| ~ m1_rlvect_2(U_7333,U_7334)
| ~ l1_rlvect_1(U_7334)
| v3_struct_0(U_7334)
| r1_rlvect_2(U_7334,U_7333,U_7333) ),
inference(miniscope,[status(thm)],[f_2898_2]) ).
fof(f_2898_4,plain,
! [U_7333,U_7334,U_7332] :
( ~ m1_rlvect_2(U_7332,U_7334)
| ~ m1_rlvect_2(U_7333,U_7334)
| ~ l1_rlvect_1(U_7334)
| v3_struct_0(U_7334)
| r1_rlvect_2(U_7334,U_7333,U_7333) ),
inference(definitional_conversion,[status(esa)],[f_2898_3]) ).
cnf(f_2898_5,plain,
( ~ m1_rlvect_2(U_7332,U_7334)
| ~ m1_rlvect_2(U_7333,U_7334)
| ~ l1_rlvect_1(U_7334)
| v3_struct_0(U_7334)
| r1_rlvect_2(U_7334,U_7333,U_7333) ),
inference(clausify,[status(thm)],[f_2898_4]) ).
fof(f_2899_1,plain,
! [A,B,C] :
( ( ( r1_rlvect_2(A,B,C)
| B != C )
& ( B = C
| ~ r1_rlvect_2(A,B,C) ) )
| ~ m1_rlvect_2(C,A)
| ~ m1_rlvect_2(B,A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_r1_rlvect_2]) ).
fof(f_2899_2,plain,
! [U_7337,U_7336,U_7335] :
( ( ( r1_rlvect_2(U_7337,U_7336,U_7335)
| U_7336 != U_7335 )
& ( U_7336 = U_7335
| ~ r1_rlvect_2(U_7337,U_7336,U_7335) ) )
| ~ m1_rlvect_2(U_7335,U_7337)
| ~ m1_rlvect_2(U_7336,U_7337)
| ~ l1_rlvect_1(U_7337)
| v3_struct_0(U_7337) ),
inference(variable_rename,[status(thm)],[f_2899_1]) ).
fof(f_2899_3,plain,
( ! [U_7336,U_7337,U_7335] :
( r1_rlvect_2(U_7337,U_7336,U_7335)
| U_7336 != U_7335
| ~ sP1311(U_7336,U_7337,U_7335) )
& ! [U_7336,U_7337,U_7335] :
( U_7336 = U_7335
| ~ r1_rlvect_2(U_7337,U_7336,U_7335)
| ~ sP1311(U_7336,U_7337,U_7335) )
& ! [U_7336,U_7337,U_7335] :
( sP1311(U_7336,U_7337,U_7335)
| ~ m1_rlvect_2(U_7335,U_7337)
| ~ m1_rlvect_2(U_7336,U_7337)
| ~ l1_rlvect_1(U_7337)
| v3_struct_0(U_7337) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1311])],[f_2899_2]) ).
cnf(f_2899_4,plain,
( sP1311(U_7336,U_7337,U_7335)
| ~ m1_rlvect_2(U_7335,U_7337)
| ~ m1_rlvect_2(U_7336,U_7337)
| ~ l1_rlvect_1(U_7337)
| v3_struct_0(U_7337) ),
inference(clausify,[status(thm)],[f_2899_3]) ).
cnf(f_2899_5,plain,
( U_7336 = U_7335
| ~ r1_rlvect_2(U_7337,U_7336,U_7335)
| ~ sP1311(U_7336,U_7337,U_7335) ),
inference(clausify,[status(thm)],[f_2899_3]) ).
cnf(f_2899_6,plain,
( r1_rlvect_2(U_7337,U_7336,U_7335)
| U_7336 != U_7335
| ~ sP1311(U_7336,U_7337,U_7335) ),
inference(clausify,[status(thm)],[f_2899_3]) ).
fof(f_2900_1,plain,
! [A,B] :
( m1_subset_1(k1_rlvect_2(A,B),u1_struct_0(A))
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rlvect_2]) ).
fof(f_2900_2,plain,
! [U_7339,U_7338] :
( m1_subset_1(k1_rlvect_2(U_7339,U_7338),u1_struct_0(U_7339))
| ~ l1_struct_0(U_7339) ),
inference(variable_rename,[status(thm)],[f_2900_1]) ).
fof(f_2900_3,plain,
! [U_7339] :
( ! [U_7338] : m1_subset_1(k1_rlvect_2(U_7339,U_7338),u1_struct_0(U_7339))
| ~ l1_struct_0(U_7339) ),
inference(miniscope,[status(thm)],[f_2900_2]) ).
fof(f_2900_4,plain,
! [U_7339,U_7338] :
( m1_subset_1(k1_rlvect_2(U_7339,U_7338),u1_struct_0(U_7339))
| ~ l1_struct_0(U_7339) ),
inference(definitional_conversion,[status(esa)],[f_2900_3]) ).
cnf(f_2900_5,plain,
( m1_subset_1(k1_rlvect_2(U_7339,U_7338),u1_struct_0(U_7339))
| ~ l1_struct_0(U_7339) ),
inference(clausify,[status(thm)],[f_2900_4]) ).
fof(f_2901_1,plain,
! [A,B,C] :
( ( m1_subset_1(k2_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k2_rlvect_2(A,B,C)) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_rlvect_2]) ).
fof(f_2901_2,plain,
! [U_7342,U_7341,U_7340] :
( ( m1_subset_1(k2_rlvect_2(U_7342,U_7341,U_7340),k1_zfmisc_1(u1_struct_0(U_7342)))
& v1_finset_1(k2_rlvect_2(U_7342,U_7341,U_7340)) )
| ~ m1_subset_1(U_7340,k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ v1_finset_1(U_7340)
| ~ m1_subset_1(U_7341,k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ v1_finset_1(U_7341)
| ~ l1_struct_0(U_7342) ),
inference(variable_rename,[status(thm)],[f_2901_1]) ).
fof(f_2901_3,plain,
( ! [U_7342,U_7340,U_7341] :
( m1_subset_1(k2_rlvect_2(U_7342,U_7341,U_7340),k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ sP1312(U_7342,U_7340,U_7341) )
& ! [U_7342,U_7340,U_7341] :
( v1_finset_1(k2_rlvect_2(U_7342,U_7341,U_7340))
| ~ sP1312(U_7342,U_7340,U_7341) )
& ! [U_7342,U_7340,U_7341] :
( sP1312(U_7342,U_7340,U_7341)
| ~ m1_subset_1(U_7340,k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ v1_finset_1(U_7340)
| ~ m1_subset_1(U_7341,k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ v1_finset_1(U_7341)
| ~ l1_struct_0(U_7342) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1312])],[f_2901_2]) ).
cnf(f_2901_4,plain,
( sP1312(U_7342,U_7340,U_7341)
| ~ m1_subset_1(U_7340,k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ v1_finset_1(U_7340)
| ~ m1_subset_1(U_7341,k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ v1_finset_1(U_7341)
| ~ l1_struct_0(U_7342) ),
inference(clausify,[status(thm)],[f_2901_3]) ).
cnf(f_2901_5,plain,
( v1_finset_1(k2_rlvect_2(U_7342,U_7341,U_7340))
| ~ sP1312(U_7342,U_7340,U_7341) ),
inference(clausify,[status(thm)],[f_2901_3]) ).
cnf(f_2901_6,plain,
( m1_subset_1(k2_rlvect_2(U_7342,U_7341,U_7340),k1_zfmisc_1(u1_struct_0(U_7342)))
| ~ sP1312(U_7342,U_7340,U_7341) ),
inference(clausify,[status(thm)],[f_2901_3]) ).
fof(f_2902_1,plain,
! [A,B,C] :
( k2_rlvect_2(A,B,C) = k2_rlvect_2(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k2_rlvect_2]) ).
fof(f_2902_2,plain,
! [U_7345,U_7344,U_7343] :
( k2_rlvect_2(U_7345,U_7344,U_7343) = k2_rlvect_2(U_7345,U_7343,U_7344)
| ~ m1_subset_1(U_7343,k1_zfmisc_1(u1_struct_0(U_7345)))
| ~ v1_finset_1(U_7343)
| ~ m1_subset_1(U_7344,k1_zfmisc_1(u1_struct_0(U_7345)))
| ~ v1_finset_1(U_7344)
| ~ l1_struct_0(U_7345) ),
inference(variable_rename,[status(thm)],[f_2902_1]) ).
fof(f_2902_3,plain,
! [U_7343,U_7344,U_7345] :
( k2_rlvect_2(U_7345,U_7344,U_7343) = k2_rlvect_2(U_7345,U_7343,U_7344)
| ~ m1_subset_1(U_7343,k1_zfmisc_1(u1_struct_0(U_7345)))
| ~ v1_finset_1(U_7343)
| ~ m1_subset_1(U_7344,k1_zfmisc_1(u1_struct_0(U_7345)))
| ~ v1_finset_1(U_7344)
| ~ l1_struct_0(U_7345) ),
inference(definitional_conversion,[status(esa)],[f_2902_2]) ).
cnf(f_2902_4,plain,
( k2_rlvect_2(U_7345,U_7344,U_7343) = k2_rlvect_2(U_7345,U_7343,U_7344)
| ~ m1_subset_1(U_7343,k1_zfmisc_1(u1_struct_0(U_7345)))
| ~ v1_finset_1(U_7343)
| ~ m1_subset_1(U_7344,k1_zfmisc_1(u1_struct_0(U_7345)))
| ~ v1_finset_1(U_7344)
| ~ l1_struct_0(U_7345) ),
inference(clausify,[status(thm)],[f_2902_3]) ).
fof(f_2903_1,plain,
! [A,B,C] :
( k2_rlvect_2(A,B,B) = B
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[idempotence_k2_rlvect_2]) ).
fof(f_2903_2,plain,
! [U_7348,U_7347,U_7346] :
( k2_rlvect_2(U_7348,U_7347,U_7347) = U_7347
| ~ m1_subset_1(U_7346,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7346)
| ~ m1_subset_1(U_7347,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7347)
| ~ l1_struct_0(U_7348) ),
inference(variable_rename,[status(thm)],[f_2903_1]) ).
fof(f_2903_3,plain,
! [U_7348,U_7347] :
( ! [U_7346] :
( ~ m1_subset_1(U_7346,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7346) )
| ~ m1_subset_1(U_7347,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7347)
| ~ l1_struct_0(U_7348)
| k2_rlvect_2(U_7348,U_7347,U_7347) = U_7347 ),
inference(miniscope,[status(thm)],[f_2903_2]) ).
fof(f_2903_4,plain,
! [U_7346,U_7348,U_7347] :
( ~ m1_subset_1(U_7346,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7346)
| ~ m1_subset_1(U_7347,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7347)
| ~ l1_struct_0(U_7348)
| k2_rlvect_2(U_7348,U_7347,U_7347) = U_7347 ),
inference(definitional_conversion,[status(esa)],[f_2903_3]) ).
cnf(f_2903_5,plain,
( ~ m1_subset_1(U_7346,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7346)
| ~ m1_subset_1(U_7347,k1_zfmisc_1(u1_struct_0(U_7348)))
| ~ v1_finset_1(U_7347)
| ~ l1_struct_0(U_7348)
| k2_rlvect_2(U_7348,U_7347,U_7347) = U_7347 ),
inference(clausify,[status(thm)],[f_2903_4]) ).
fof(f_2904_1,plain,
! [A,B,C] :
( k2_rlvect_2(A,B,C) = k2_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k2_rlvect_2]) ).
fof(f_2904_2,plain,
! [U_7351,U_7350,U_7349] :
( k2_rlvect_2(U_7351,U_7350,U_7349) = k2_xboole_0(U_7350,U_7349)
| ~ m1_subset_1(U_7349,k1_zfmisc_1(u1_struct_0(U_7351)))
| ~ v1_finset_1(U_7349)
| ~ m1_subset_1(U_7350,k1_zfmisc_1(u1_struct_0(U_7351)))
| ~ v1_finset_1(U_7350)
| ~ l1_struct_0(U_7351) ),
inference(variable_rename,[status(thm)],[f_2904_1]) ).
fof(f_2904_3,plain,
! [U_7350,U_7351,U_7349] :
( k2_rlvect_2(U_7351,U_7350,U_7349) = k2_xboole_0(U_7350,U_7349)
| ~ m1_subset_1(U_7349,k1_zfmisc_1(u1_struct_0(U_7351)))
| ~ v1_finset_1(U_7349)
| ~ m1_subset_1(U_7350,k1_zfmisc_1(u1_struct_0(U_7351)))
| ~ v1_finset_1(U_7350)
| ~ l1_struct_0(U_7351) ),
inference(definitional_conversion,[status(esa)],[f_2904_2]) ).
cnf(f_2904_4,plain,
( k2_rlvect_2(U_7351,U_7350,U_7349) = k2_xboole_0(U_7350,U_7349)
| ~ m1_subset_1(U_7349,k1_zfmisc_1(u1_struct_0(U_7351)))
| ~ v1_finset_1(U_7349)
| ~ m1_subset_1(U_7350,k1_zfmisc_1(u1_struct_0(U_7351)))
| ~ v1_finset_1(U_7350)
| ~ l1_struct_0(U_7351) ),
inference(clausify,[status(thm)],[f_2904_3]) ).
fof(f_2905_1,plain,
! [A,B,C] :
( ( m1_subset_1(k3_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k3_rlvect_2(A,B,C)) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_rlvect_2]) ).
fof(f_2905_2,plain,
! [U_7354,U_7353,U_7352] :
( ( m1_subset_1(k3_rlvect_2(U_7354,U_7353,U_7352),k1_zfmisc_1(u1_struct_0(U_7354)))
& v1_finset_1(k3_rlvect_2(U_7354,U_7353,U_7352)) )
| ~ m1_subset_1(U_7352,k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ v1_finset_1(U_7352)
| ~ m1_subset_1(U_7353,k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ v1_finset_1(U_7353)
| ~ l1_struct_0(U_7354) ),
inference(variable_rename,[status(thm)],[f_2905_1]) ).
fof(f_2905_3,plain,
( ! [U_7353,U_7352,U_7354] :
( m1_subset_1(k3_rlvect_2(U_7354,U_7353,U_7352),k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ sP1313(U_7353,U_7352,U_7354) )
& ! [U_7353,U_7352,U_7354] :
( v1_finset_1(k3_rlvect_2(U_7354,U_7353,U_7352))
| ~ sP1313(U_7353,U_7352,U_7354) )
& ! [U_7353,U_7352,U_7354] :
( sP1313(U_7353,U_7352,U_7354)
| ~ m1_subset_1(U_7352,k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ v1_finset_1(U_7352)
| ~ m1_subset_1(U_7353,k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ v1_finset_1(U_7353)
| ~ l1_struct_0(U_7354) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1313])],[f_2905_2]) ).
cnf(f_2905_4,plain,
( sP1313(U_7353,U_7352,U_7354)
| ~ m1_subset_1(U_7352,k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ v1_finset_1(U_7352)
| ~ m1_subset_1(U_7353,k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ v1_finset_1(U_7353)
| ~ l1_struct_0(U_7354) ),
inference(clausify,[status(thm)],[f_2905_3]) ).
cnf(f_2905_5,plain,
( v1_finset_1(k3_rlvect_2(U_7354,U_7353,U_7352))
| ~ sP1313(U_7353,U_7352,U_7354) ),
inference(clausify,[status(thm)],[f_2905_3]) ).
cnf(f_2905_6,plain,
( m1_subset_1(k3_rlvect_2(U_7354,U_7353,U_7352),k1_zfmisc_1(u1_struct_0(U_7354)))
| ~ sP1313(U_7353,U_7352,U_7354) ),
inference(clausify,[status(thm)],[f_2905_3]) ).
fof(f_2906_1,plain,
! [A,B,C] :
( k3_rlvect_2(A,B,C) = k3_rlvect_2(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k3_rlvect_2]) ).
fof(f_2906_2,plain,
! [U_7357,U_7356,U_7355] :
( k3_rlvect_2(U_7357,U_7356,U_7355) = k3_rlvect_2(U_7357,U_7355,U_7356)
| ~ m1_subset_1(U_7355,k1_zfmisc_1(u1_struct_0(U_7357)))
| ~ v1_finset_1(U_7355)
| ~ m1_subset_1(U_7356,k1_zfmisc_1(u1_struct_0(U_7357)))
| ~ v1_finset_1(U_7356)
| ~ l1_struct_0(U_7357) ),
inference(variable_rename,[status(thm)],[f_2906_1]) ).
fof(f_2906_3,plain,
! [U_7357,U_7355,U_7356] :
( k3_rlvect_2(U_7357,U_7356,U_7355) = k3_rlvect_2(U_7357,U_7355,U_7356)
| ~ m1_subset_1(U_7355,k1_zfmisc_1(u1_struct_0(U_7357)))
| ~ v1_finset_1(U_7355)
| ~ m1_subset_1(U_7356,k1_zfmisc_1(u1_struct_0(U_7357)))
| ~ v1_finset_1(U_7356)
| ~ l1_struct_0(U_7357) ),
inference(definitional_conversion,[status(esa)],[f_2906_2]) ).
cnf(f_2906_4,plain,
( k3_rlvect_2(U_7357,U_7356,U_7355) = k3_rlvect_2(U_7357,U_7355,U_7356)
| ~ m1_subset_1(U_7355,k1_zfmisc_1(u1_struct_0(U_7357)))
| ~ v1_finset_1(U_7355)
| ~ m1_subset_1(U_7356,k1_zfmisc_1(u1_struct_0(U_7357)))
| ~ v1_finset_1(U_7356)
| ~ l1_struct_0(U_7357) ),
inference(clausify,[status(thm)],[f_2906_3]) ).
fof(f_2907_1,plain,
! [A,B,C] :
( k3_rlvect_2(A,B,B) = B
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[idempotence_k3_rlvect_2]) ).
fof(f_2907_2,plain,
! [U_7360,U_7359,U_7358] :
( k3_rlvect_2(U_7360,U_7359,U_7359) = U_7359
| ~ m1_subset_1(U_7358,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7358)
| ~ m1_subset_1(U_7359,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7359)
| ~ l1_struct_0(U_7360) ),
inference(variable_rename,[status(thm)],[f_2907_1]) ).
fof(f_2907_3,plain,
! [U_7360,U_7359] :
( ! [U_7358] :
( ~ m1_subset_1(U_7358,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7358) )
| ~ m1_subset_1(U_7359,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7359)
| ~ l1_struct_0(U_7360)
| k3_rlvect_2(U_7360,U_7359,U_7359) = U_7359 ),
inference(miniscope,[status(thm)],[f_2907_2]) ).
fof(f_2907_4,plain,
! [U_7358,U_7360,U_7359] :
( ~ m1_subset_1(U_7358,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7358)
| ~ m1_subset_1(U_7359,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7359)
| ~ l1_struct_0(U_7360)
| k3_rlvect_2(U_7360,U_7359,U_7359) = U_7359 ),
inference(definitional_conversion,[status(esa)],[f_2907_3]) ).
cnf(f_2907_5,plain,
( ~ m1_subset_1(U_7358,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7358)
| ~ m1_subset_1(U_7359,k1_zfmisc_1(u1_struct_0(U_7360)))
| ~ v1_finset_1(U_7359)
| ~ l1_struct_0(U_7360)
| k3_rlvect_2(U_7360,U_7359,U_7359) = U_7359 ),
inference(clausify,[status(thm)],[f_2907_4]) ).
fof(f_2908_1,plain,
! [A,B,C] :
( k3_rlvect_2(A,B,C) = k3_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k3_rlvect_2]) ).
fof(f_2908_2,plain,
! [U_7363,U_7362,U_7361] :
( k3_rlvect_2(U_7363,U_7362,U_7361) = k3_xboole_0(U_7362,U_7361)
| ~ m1_subset_1(U_7361,k1_zfmisc_1(u1_struct_0(U_7363)))
| ~ v1_finset_1(U_7361)
| ~ m1_subset_1(U_7362,k1_zfmisc_1(u1_struct_0(U_7363)))
| ~ v1_finset_1(U_7362)
| ~ l1_struct_0(U_7363) ),
inference(variable_rename,[status(thm)],[f_2908_1]) ).
fof(f_2908_3,plain,
! [U_7362,U_7363,U_7361] :
( k3_rlvect_2(U_7363,U_7362,U_7361) = k3_xboole_0(U_7362,U_7361)
| ~ m1_subset_1(U_7361,k1_zfmisc_1(u1_struct_0(U_7363)))
| ~ v1_finset_1(U_7361)
| ~ m1_subset_1(U_7362,k1_zfmisc_1(u1_struct_0(U_7363)))
| ~ v1_finset_1(U_7362)
| ~ l1_struct_0(U_7363) ),
inference(definitional_conversion,[status(esa)],[f_2908_2]) ).
cnf(f_2908_4,plain,
( k3_rlvect_2(U_7363,U_7362,U_7361) = k3_xboole_0(U_7362,U_7361)
| ~ m1_subset_1(U_7361,k1_zfmisc_1(u1_struct_0(U_7363)))
| ~ v1_finset_1(U_7361)
| ~ m1_subset_1(U_7362,k1_zfmisc_1(u1_struct_0(U_7363)))
| ~ v1_finset_1(U_7362)
| ~ l1_struct_0(U_7363) ),
inference(clausify,[status(thm)],[f_2908_3]) ).
fof(f_2909_1,plain,
! [A,B,C] :
( ( m1_subset_1(k4_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k4_rlvect_2(A,B,C)) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_rlvect_2]) ).
fof(f_2909_2,plain,
! [U_7366,U_7365,U_7364] :
( ( m1_subset_1(k4_rlvect_2(U_7366,U_7365,U_7364),k1_zfmisc_1(u1_struct_0(U_7366)))
& v1_finset_1(k4_rlvect_2(U_7366,U_7365,U_7364)) )
| ~ m1_subset_1(U_7364,k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ v1_finset_1(U_7364)
| ~ m1_subset_1(U_7365,k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ v1_finset_1(U_7365)
| ~ l1_struct_0(U_7366) ),
inference(variable_rename,[status(thm)],[f_2909_1]) ).
fof(f_2909_3,plain,
( ! [U_7365,U_7364,U_7366] :
( m1_subset_1(k4_rlvect_2(U_7366,U_7365,U_7364),k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ sP1314(U_7365,U_7364,U_7366) )
& ! [U_7365,U_7364,U_7366] :
( v1_finset_1(k4_rlvect_2(U_7366,U_7365,U_7364))
| ~ sP1314(U_7365,U_7364,U_7366) )
& ! [U_7365,U_7364,U_7366] :
( sP1314(U_7365,U_7364,U_7366)
| ~ m1_subset_1(U_7364,k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ v1_finset_1(U_7364)
| ~ m1_subset_1(U_7365,k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ v1_finset_1(U_7365)
| ~ l1_struct_0(U_7366) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1314])],[f_2909_2]) ).
cnf(f_2909_4,plain,
( sP1314(U_7365,U_7364,U_7366)
| ~ m1_subset_1(U_7364,k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ v1_finset_1(U_7364)
| ~ m1_subset_1(U_7365,k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ v1_finset_1(U_7365)
| ~ l1_struct_0(U_7366) ),
inference(clausify,[status(thm)],[f_2909_3]) ).
cnf(f_2909_5,plain,
( v1_finset_1(k4_rlvect_2(U_7366,U_7365,U_7364))
| ~ sP1314(U_7365,U_7364,U_7366) ),
inference(clausify,[status(thm)],[f_2909_3]) ).
cnf(f_2909_6,plain,
( m1_subset_1(k4_rlvect_2(U_7366,U_7365,U_7364),k1_zfmisc_1(u1_struct_0(U_7366)))
| ~ sP1314(U_7365,U_7364,U_7366) ),
inference(clausify,[status(thm)],[f_2909_3]) ).
fof(f_2910_1,plain,
! [A,B,C] :
( k4_rlvect_2(A,B,C) = k4_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k4_rlvect_2]) ).
fof(f_2910_2,plain,
! [U_7369,U_7368,U_7367] :
( k4_rlvect_2(U_7369,U_7368,U_7367) = k4_xboole_0(U_7368,U_7367)
| ~ m1_subset_1(U_7367,k1_zfmisc_1(u1_struct_0(U_7369)))
| ~ v1_finset_1(U_7367)
| ~ m1_subset_1(U_7368,k1_zfmisc_1(u1_struct_0(U_7369)))
| ~ v1_finset_1(U_7368)
| ~ l1_struct_0(U_7369) ),
inference(variable_rename,[status(thm)],[f_2910_1]) ).
fof(f_2910_3,plain,
! [U_7368,U_7367,U_7369] :
( k4_rlvect_2(U_7369,U_7368,U_7367) = k4_xboole_0(U_7368,U_7367)
| ~ m1_subset_1(U_7367,k1_zfmisc_1(u1_struct_0(U_7369)))
| ~ v1_finset_1(U_7367)
| ~ m1_subset_1(U_7368,k1_zfmisc_1(u1_struct_0(U_7369)))
| ~ v1_finset_1(U_7368)
| ~ l1_struct_0(U_7369) ),
inference(definitional_conversion,[status(esa)],[f_2910_2]) ).
cnf(f_2910_4,plain,
( k4_rlvect_2(U_7369,U_7368,U_7367) = k4_xboole_0(U_7368,U_7367)
| ~ m1_subset_1(U_7367,k1_zfmisc_1(u1_struct_0(U_7369)))
| ~ v1_finset_1(U_7367)
| ~ m1_subset_1(U_7368,k1_zfmisc_1(u1_struct_0(U_7369)))
| ~ v1_finset_1(U_7368)
| ~ l1_struct_0(U_7369) ),
inference(clausify,[status(thm)],[f_2910_3]) ).
fof(f_2911_1,plain,
! [A,B,C] :
( ( m1_subset_1(k5_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k5_rlvect_2(A,B,C)) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_rlvect_2]) ).
fof(f_2911_2,plain,
! [U_7372,U_7371,U_7370] :
( ( m1_subset_1(k5_rlvect_2(U_7372,U_7371,U_7370),k1_zfmisc_1(u1_struct_0(U_7372)))
& v1_finset_1(k5_rlvect_2(U_7372,U_7371,U_7370)) )
| ~ m1_subset_1(U_7370,k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ v1_finset_1(U_7370)
| ~ m1_subset_1(U_7371,k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ v1_finset_1(U_7371)
| ~ l1_struct_0(U_7372) ),
inference(variable_rename,[status(thm)],[f_2911_1]) ).
fof(f_2911_3,plain,
( ! [U_7371,U_7370,U_7372] :
( m1_subset_1(k5_rlvect_2(U_7372,U_7371,U_7370),k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ sP1315(U_7371,U_7370,U_7372) )
& ! [U_7371,U_7370,U_7372] :
( v1_finset_1(k5_rlvect_2(U_7372,U_7371,U_7370))
| ~ sP1315(U_7371,U_7370,U_7372) )
& ! [U_7371,U_7370,U_7372] :
( sP1315(U_7371,U_7370,U_7372)
| ~ m1_subset_1(U_7370,k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ v1_finset_1(U_7370)
| ~ m1_subset_1(U_7371,k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ v1_finset_1(U_7371)
| ~ l1_struct_0(U_7372) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1315])],[f_2911_2]) ).
cnf(f_2911_4,plain,
( sP1315(U_7371,U_7370,U_7372)
| ~ m1_subset_1(U_7370,k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ v1_finset_1(U_7370)
| ~ m1_subset_1(U_7371,k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ v1_finset_1(U_7371)
| ~ l1_struct_0(U_7372) ),
inference(clausify,[status(thm)],[f_2911_3]) ).
cnf(f_2911_5,plain,
( v1_finset_1(k5_rlvect_2(U_7372,U_7371,U_7370))
| ~ sP1315(U_7371,U_7370,U_7372) ),
inference(clausify,[status(thm)],[f_2911_3]) ).
cnf(f_2911_6,plain,
( m1_subset_1(k5_rlvect_2(U_7372,U_7371,U_7370),k1_zfmisc_1(u1_struct_0(U_7372)))
| ~ sP1315(U_7371,U_7370,U_7372) ),
inference(clausify,[status(thm)],[f_2911_3]) ).
fof(f_2912_1,plain,
! [A,B,C] :
( k5_rlvect_2(A,B,C) = k5_rlvect_2(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k5_rlvect_2]) ).
fof(f_2912_2,plain,
! [U_7375,U_7374,U_7373] :
( k5_rlvect_2(U_7375,U_7374,U_7373) = k5_rlvect_2(U_7375,U_7373,U_7374)
| ~ m1_subset_1(U_7373,k1_zfmisc_1(u1_struct_0(U_7375)))
| ~ v1_finset_1(U_7373)
| ~ m1_subset_1(U_7374,k1_zfmisc_1(u1_struct_0(U_7375)))
| ~ v1_finset_1(U_7374)
| ~ l1_struct_0(U_7375) ),
inference(variable_rename,[status(thm)],[f_2912_1]) ).
fof(f_2912_3,plain,
! [U_7374,U_7373,U_7375] :
( k5_rlvect_2(U_7375,U_7374,U_7373) = k5_rlvect_2(U_7375,U_7373,U_7374)
| ~ m1_subset_1(U_7373,k1_zfmisc_1(u1_struct_0(U_7375)))
| ~ v1_finset_1(U_7373)
| ~ m1_subset_1(U_7374,k1_zfmisc_1(u1_struct_0(U_7375)))
| ~ v1_finset_1(U_7374)
| ~ l1_struct_0(U_7375) ),
inference(definitional_conversion,[status(esa)],[f_2912_2]) ).
cnf(f_2912_4,plain,
( k5_rlvect_2(U_7375,U_7374,U_7373) = k5_rlvect_2(U_7375,U_7373,U_7374)
| ~ m1_subset_1(U_7373,k1_zfmisc_1(u1_struct_0(U_7375)))
| ~ v1_finset_1(U_7373)
| ~ m1_subset_1(U_7374,k1_zfmisc_1(u1_struct_0(U_7375)))
| ~ v1_finset_1(U_7374)
| ~ l1_struct_0(U_7375) ),
inference(clausify,[status(thm)],[f_2912_3]) ).
fof(f_2913_1,plain,
! [A,B,C] :
( k5_rlvect_2(A,B,C) = k5_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(C)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k5_rlvect_2]) ).
fof(f_2913_2,plain,
! [U_7378,U_7377,U_7376] :
( k5_rlvect_2(U_7378,U_7377,U_7376) = k5_xboole_0(U_7377,U_7376)
| ~ m1_subset_1(U_7376,k1_zfmisc_1(u1_struct_0(U_7378)))
| ~ v1_finset_1(U_7376)
| ~ m1_subset_1(U_7377,k1_zfmisc_1(u1_struct_0(U_7378)))
| ~ v1_finset_1(U_7377)
| ~ l1_struct_0(U_7378) ),
inference(variable_rename,[status(thm)],[f_2913_1]) ).
fof(f_2913_3,plain,
! [U_7378,U_7377,U_7376] :
( k5_rlvect_2(U_7378,U_7377,U_7376) = k5_xboole_0(U_7377,U_7376)
| ~ m1_subset_1(U_7376,k1_zfmisc_1(u1_struct_0(U_7378)))
| ~ v1_finset_1(U_7376)
| ~ m1_subset_1(U_7377,k1_zfmisc_1(u1_struct_0(U_7378)))
| ~ v1_finset_1(U_7377)
| ~ l1_struct_0(U_7378) ),
inference(definitional_conversion,[status(esa)],[f_2913_2]) ).
cnf(f_2913_4,plain,
( k5_rlvect_2(U_7378,U_7377,U_7376) = k5_xboole_0(U_7377,U_7376)
| ~ m1_subset_1(U_7376,k1_zfmisc_1(u1_struct_0(U_7378)))
| ~ v1_finset_1(U_7376)
| ~ m1_subset_1(U_7377,k1_zfmisc_1(u1_struct_0(U_7378)))
| ~ v1_finset_1(U_7377)
| ~ l1_struct_0(U_7378) ),
inference(clausify,[status(thm)],[f_2913_3]) ).
fof(f_2914_1,plain,
! [A,B] :
( m1_subset_1(k6_rlvect_2(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_finset_1(B)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_rlvect_2]) ).
fof(f_2914_2,plain,
! [U_7380,U_7379] :
( m1_subset_1(k6_rlvect_2(U_7380,U_7379),u1_struct_0(U_7380))
| ~ m1_subset_1(U_7379,k1_zfmisc_1(u1_struct_0(U_7380)))
| ~ v1_finset_1(U_7379)
| ~ l1_rlvect_1(U_7380)
| v3_struct_0(U_7380) ),
inference(variable_rename,[status(thm)],[f_2914_1]) ).
fof(f_2914_3,plain,
! [U_7380,U_7379] :
( m1_subset_1(k6_rlvect_2(U_7380,U_7379),u1_struct_0(U_7380))
| ~ m1_subset_1(U_7379,k1_zfmisc_1(u1_struct_0(U_7380)))
| ~ v1_finset_1(U_7379)
| ~ l1_rlvect_1(U_7380)
| v3_struct_0(U_7380) ),
inference(definitional_conversion,[status(esa)],[f_2914_2]) ).
cnf(f_2914_4,plain,
( m1_subset_1(k6_rlvect_2(U_7380,U_7379),u1_struct_0(U_7380))
| ~ m1_subset_1(U_7379,k1_zfmisc_1(u1_struct_0(U_7380)))
| ~ v1_finset_1(U_7379)
| ~ l1_rlvect_1(U_7380)
| v3_struct_0(U_7380) ),
inference(clausify,[status(thm)],[f_2914_3]) ).
fof(f_2915_1,plain,
! [A,B] :
( ( m1_subset_1(k7_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k7_rlvect_2(A,B)) )
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_rlvect_2]) ).
fof(f_2915_2,plain,
! [U_7382,U_7381] :
( ( m1_subset_1(k7_rlvect_2(U_7382,U_7381),k1_zfmisc_1(u1_struct_0(U_7382)))
& v1_finset_1(k7_rlvect_2(U_7382,U_7381)) )
| ~ m1_subset_1(U_7381,u1_struct_0(U_7382))
| ~ l1_struct_0(U_7382)
| v3_struct_0(U_7382) ),
inference(variable_rename,[status(thm)],[f_2915_1]) ).
fof(f_2915_3,plain,
( ! [U_7381,U_7382] :
( m1_subset_1(k7_rlvect_2(U_7382,U_7381),k1_zfmisc_1(u1_struct_0(U_7382)))
| ~ sP1316(U_7381,U_7382) )
& ! [U_7381,U_7382] :
( v1_finset_1(k7_rlvect_2(U_7382,U_7381))
| ~ sP1316(U_7381,U_7382) )
& ! [U_7381,U_7382] :
( sP1316(U_7381,U_7382)
| ~ m1_subset_1(U_7381,u1_struct_0(U_7382))
| ~ l1_struct_0(U_7382)
| v3_struct_0(U_7382) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1316])],[f_2915_2]) ).
cnf(f_2915_4,plain,
( sP1316(U_7381,U_7382)
| ~ m1_subset_1(U_7381,u1_struct_0(U_7382))
| ~ l1_struct_0(U_7382)
| v3_struct_0(U_7382) ),
inference(clausify,[status(thm)],[f_2915_3]) ).
cnf(f_2915_5,plain,
( v1_finset_1(k7_rlvect_2(U_7382,U_7381))
| ~ sP1316(U_7381,U_7382) ),
inference(clausify,[status(thm)],[f_2915_3]) ).
cnf(f_2915_6,plain,
( m1_subset_1(k7_rlvect_2(U_7382,U_7381),k1_zfmisc_1(u1_struct_0(U_7382)))
| ~ sP1316(U_7381,U_7382) ),
inference(clausify,[status(thm)],[f_2915_3]) ).
fof(f_2916_1,plain,
! [A,B] :
( k7_rlvect_2(A,B) = k1_tarski(B)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k7_rlvect_2]) ).
fof(f_2916_2,plain,
! [U_7384,U_7383] :
( k7_rlvect_2(U_7384,U_7383) = k1_tarski(U_7383)
| ~ m1_subset_1(U_7383,u1_struct_0(U_7384))
| ~ l1_struct_0(U_7384)
| v3_struct_0(U_7384) ),
inference(variable_rename,[status(thm)],[f_2916_1]) ).
fof(f_2916_3,plain,
! [U_7384,U_7383] :
( k7_rlvect_2(U_7384,U_7383) = k1_tarski(U_7383)
| ~ m1_subset_1(U_7383,u1_struct_0(U_7384))
| ~ l1_struct_0(U_7384)
| v3_struct_0(U_7384) ),
inference(definitional_conversion,[status(esa)],[f_2916_2]) ).
cnf(f_2916_4,plain,
( k7_rlvect_2(U_7384,U_7383) = k1_tarski(U_7383)
| ~ m1_subset_1(U_7383,u1_struct_0(U_7384))
| ~ l1_struct_0(U_7384)
| v3_struct_0(U_7384) ),
inference(clausify,[status(thm)],[f_2916_3]) ).
fof(f_2917_1,plain,
! [A,B,C] :
( ( m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k8_rlvect_2(A,B,C)) )
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k8_rlvect_2]) ).
fof(f_2917_2,plain,
! [U_7387,U_7386,U_7385] :
( ( m1_subset_1(k8_rlvect_2(U_7387,U_7386,U_7385),k1_zfmisc_1(u1_struct_0(U_7387)))
& v1_finset_1(k8_rlvect_2(U_7387,U_7386,U_7385)) )
| ~ m1_subset_1(U_7385,u1_struct_0(U_7387))
| ~ m1_subset_1(U_7386,u1_struct_0(U_7387))
| ~ l1_struct_0(U_7387)
| v3_struct_0(U_7387) ),
inference(variable_rename,[status(thm)],[f_2917_1]) ).
fof(f_2917_3,plain,
( ! [U_7385,U_7386,U_7387] :
( m1_subset_1(k8_rlvect_2(U_7387,U_7386,U_7385),k1_zfmisc_1(u1_struct_0(U_7387)))
| ~ sP1317(U_7385,U_7386,U_7387) )
& ! [U_7385,U_7386,U_7387] :
( v1_finset_1(k8_rlvect_2(U_7387,U_7386,U_7385))
| ~ sP1317(U_7385,U_7386,U_7387) )
& ! [U_7385,U_7386,U_7387] :
( sP1317(U_7385,U_7386,U_7387)
| ~ m1_subset_1(U_7385,u1_struct_0(U_7387))
| ~ m1_subset_1(U_7386,u1_struct_0(U_7387))
| ~ l1_struct_0(U_7387)
| v3_struct_0(U_7387) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1317])],[f_2917_2]) ).
cnf(f_2917_4,plain,
( sP1317(U_7385,U_7386,U_7387)
| ~ m1_subset_1(U_7385,u1_struct_0(U_7387))
| ~ m1_subset_1(U_7386,u1_struct_0(U_7387))
| ~ l1_struct_0(U_7387)
| v3_struct_0(U_7387) ),
inference(clausify,[status(thm)],[f_2917_3]) ).
cnf(f_2917_5,plain,
( v1_finset_1(k8_rlvect_2(U_7387,U_7386,U_7385))
| ~ sP1317(U_7385,U_7386,U_7387) ),
inference(clausify,[status(thm)],[f_2917_3]) ).
cnf(f_2917_6,plain,
( m1_subset_1(k8_rlvect_2(U_7387,U_7386,U_7385),k1_zfmisc_1(u1_struct_0(U_7387)))
| ~ sP1317(U_7385,U_7386,U_7387) ),
inference(clausify,[status(thm)],[f_2917_3]) ).
fof(f_2918_1,plain,
! [A,B,C] :
( k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[commutativity_k8_rlvect_2]) ).
fof(f_2918_2,plain,
! [U_7390,U_7389,U_7388] :
( k8_rlvect_2(U_7390,U_7389,U_7388) = k8_rlvect_2(U_7390,U_7388,U_7389)
| ~ m1_subset_1(U_7388,u1_struct_0(U_7390))
| ~ m1_subset_1(U_7389,u1_struct_0(U_7390))
| ~ l1_struct_0(U_7390)
| v3_struct_0(U_7390) ),
inference(variable_rename,[status(thm)],[f_2918_1]) ).
fof(f_2918_3,plain,
! [U_7388,U_7389,U_7390] :
( k8_rlvect_2(U_7390,U_7389,U_7388) = k8_rlvect_2(U_7390,U_7388,U_7389)
| ~ m1_subset_1(U_7388,u1_struct_0(U_7390))
| ~ m1_subset_1(U_7389,u1_struct_0(U_7390))
| ~ l1_struct_0(U_7390)
| v3_struct_0(U_7390) ),
inference(definitional_conversion,[status(esa)],[f_2918_2]) ).
cnf(f_2918_4,plain,
( k8_rlvect_2(U_7390,U_7389,U_7388) = k8_rlvect_2(U_7390,U_7388,U_7389)
| ~ m1_subset_1(U_7388,u1_struct_0(U_7390))
| ~ m1_subset_1(U_7389,u1_struct_0(U_7390))
| ~ l1_struct_0(U_7390)
| v3_struct_0(U_7390) ),
inference(clausify,[status(thm)],[f_2918_3]) ).
fof(f_2919_1,plain,
! [A,B,C] :
( k8_rlvect_2(A,B,C) = k2_tarski(B,C)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k8_rlvect_2]) ).
fof(f_2919_2,plain,
! [U_7393,U_7392,U_7391] :
( k8_rlvect_2(U_7393,U_7392,U_7391) = k2_tarski(U_7392,U_7391)
| ~ m1_subset_1(U_7391,u1_struct_0(U_7393))
| ~ m1_subset_1(U_7392,u1_struct_0(U_7393))
| ~ l1_struct_0(U_7393)
| v3_struct_0(U_7393) ),
inference(variable_rename,[status(thm)],[f_2919_1]) ).
fof(f_2919_3,plain,
! [U_7391,U_7392,U_7393] :
( k8_rlvect_2(U_7393,U_7392,U_7391) = k2_tarski(U_7392,U_7391)
| ~ m1_subset_1(U_7391,u1_struct_0(U_7393))
| ~ m1_subset_1(U_7392,u1_struct_0(U_7393))
| ~ l1_struct_0(U_7393)
| v3_struct_0(U_7393) ),
inference(definitional_conversion,[status(esa)],[f_2919_2]) ).
cnf(f_2919_4,plain,
( k8_rlvect_2(U_7393,U_7392,U_7391) = k2_tarski(U_7392,U_7391)
| ~ m1_subset_1(U_7391,u1_struct_0(U_7393))
| ~ m1_subset_1(U_7392,u1_struct_0(U_7393))
| ~ l1_struct_0(U_7393)
| v3_struct_0(U_7393) ),
inference(clausify,[status(thm)],[f_2919_3]) ).
fof(f_2920_1,plain,
! [A,B,C,D] :
( ( m1_subset_1(k9_rlvect_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k9_rlvect_2(A,B,C,D)) )
| ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k9_rlvect_2]) ).
fof(f_2920_2,plain,
! [U_7397,U_7396,U_7395,U_7394] :
( ( m1_subset_1(k9_rlvect_2(U_7397,U_7396,U_7395,U_7394),k1_zfmisc_1(u1_struct_0(U_7397)))
& v1_finset_1(k9_rlvect_2(U_7397,U_7396,U_7395,U_7394)) )
| ~ m1_subset_1(U_7394,u1_struct_0(U_7397))
| ~ m1_subset_1(U_7395,u1_struct_0(U_7397))
| ~ m1_subset_1(U_7396,u1_struct_0(U_7397))
| ~ l1_struct_0(U_7397)
| v3_struct_0(U_7397) ),
inference(variable_rename,[status(thm)],[f_2920_1]) ).
fof(f_2920_3,plain,
( ! [U_7395,U_7394,U_7396,U_7397] :
( m1_subset_1(k9_rlvect_2(U_7397,U_7396,U_7395,U_7394),k1_zfmisc_1(u1_struct_0(U_7397)))
| ~ sP1318(U_7395,U_7394,U_7396,U_7397) )
& ! [U_7395,U_7394,U_7396,U_7397] :
( v1_finset_1(k9_rlvect_2(U_7397,U_7396,U_7395,U_7394))
| ~ sP1318(U_7395,U_7394,U_7396,U_7397) )
& ! [U_7395,U_7394,U_7396,U_7397] :
( sP1318(U_7395,U_7394,U_7396,U_7397)
| ~ m1_subset_1(U_7394,u1_struct_0(U_7397))
| ~ m1_subset_1(U_7395,u1_struct_0(U_7397))
| ~ m1_subset_1(U_7396,u1_struct_0(U_7397))
| ~ l1_struct_0(U_7397)
| v3_struct_0(U_7397) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1318])],[f_2920_2]) ).
cnf(f_2920_4,plain,
( sP1318(U_7395,U_7394,U_7396,U_7397)
| ~ m1_subset_1(U_7394,u1_struct_0(U_7397))
| ~ m1_subset_1(U_7395,u1_struct_0(U_7397))
| ~ m1_subset_1(U_7396,u1_struct_0(U_7397))
| ~ l1_struct_0(U_7397)
| v3_struct_0(U_7397) ),
inference(clausify,[status(thm)],[f_2920_3]) ).
cnf(f_2920_5,plain,
( v1_finset_1(k9_rlvect_2(U_7397,U_7396,U_7395,U_7394))
| ~ sP1318(U_7395,U_7394,U_7396,U_7397) ),
inference(clausify,[status(thm)],[f_2920_3]) ).
cnf(f_2920_6,plain,
( m1_subset_1(k9_rlvect_2(U_7397,U_7396,U_7395,U_7394),k1_zfmisc_1(u1_struct_0(U_7397)))
| ~ sP1318(U_7395,U_7394,U_7396,U_7397) ),
inference(clausify,[status(thm)],[f_2920_3]) ).
fof(f_2921_1,plain,
! [A,B,C,D] :
( k9_rlvect_2(A,B,C,D) = k1_enumset1(B,C,D)
| ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k9_rlvect_2]) ).
fof(f_2921_2,plain,
! [U_7401,U_7400,U_7399,U_7398] :
( k9_rlvect_2(U_7401,U_7400,U_7399,U_7398) = k1_enumset1(U_7400,U_7399,U_7398)
| ~ m1_subset_1(U_7398,u1_struct_0(U_7401))
| ~ m1_subset_1(U_7399,u1_struct_0(U_7401))
| ~ m1_subset_1(U_7400,u1_struct_0(U_7401))
| ~ l1_struct_0(U_7401)
| v3_struct_0(U_7401) ),
inference(variable_rename,[status(thm)],[f_2921_1]) ).
fof(f_2921_3,plain,
! [U_7399,U_7400,U_7398,U_7401] :
( k9_rlvect_2(U_7401,U_7400,U_7399,U_7398) = k1_enumset1(U_7400,U_7399,U_7398)
| ~ m1_subset_1(U_7398,u1_struct_0(U_7401))
| ~ m1_subset_1(U_7399,u1_struct_0(U_7401))
| ~ m1_subset_1(U_7400,u1_struct_0(U_7401))
| ~ l1_struct_0(U_7401)
| v3_struct_0(U_7401) ),
inference(definitional_conversion,[status(esa)],[f_2921_2]) ).
cnf(f_2921_4,plain,
( k9_rlvect_2(U_7401,U_7400,U_7399,U_7398) = k1_enumset1(U_7400,U_7399,U_7398)
| ~ m1_subset_1(U_7398,u1_struct_0(U_7401))
| ~ m1_subset_1(U_7399,u1_struct_0(U_7401))
| ~ m1_subset_1(U_7400,u1_struct_0(U_7401))
| ~ l1_struct_0(U_7401)
| v3_struct_0(U_7401) ),
inference(clausify,[status(thm)],[f_2921_3]) ).
fof(f_2922_1,plain,
! [A,B] :
( ( m1_subset_1(k10_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A)))
& v1_finset_1(k10_rlvect_2(A,B)) )
| ~ m1_rlvect_2(B,A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k10_rlvect_2]) ).
fof(f_2922_2,plain,
! [U_7403,U_7402] :
( ( m1_subset_1(k10_rlvect_2(U_7403,U_7402),k1_zfmisc_1(u1_struct_0(U_7403)))
& v1_finset_1(k10_rlvect_2(U_7403,U_7402)) )
| ~ m1_rlvect_2(U_7402,U_7403)
| ~ l1_rlvect_1(U_7403)
| v3_struct_0(U_7403) ),
inference(variable_rename,[status(thm)],[f_2922_1]) ).
fof(f_2922_3,plain,
( ! [U_7402,U_7403] :
( m1_subset_1(k10_rlvect_2(U_7403,U_7402),k1_zfmisc_1(u1_struct_0(U_7403)))
| ~ sP1319(U_7402,U_7403) )
& ! [U_7402,U_7403] :
( v1_finset_1(k10_rlvect_2(U_7403,U_7402))
| ~ sP1319(U_7402,U_7403) )
& ! [U_7402,U_7403] :
( sP1319(U_7402,U_7403)
| ~ m1_rlvect_2(U_7402,U_7403)
| ~ l1_rlvect_1(U_7403)
| v3_struct_0(U_7403) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1319])],[f_2922_2]) ).
cnf(f_2922_4,plain,
( sP1319(U_7402,U_7403)
| ~ m1_rlvect_2(U_7402,U_7403)
| ~ l1_rlvect_1(U_7403)
| v3_struct_0(U_7403) ),
inference(clausify,[status(thm)],[f_2922_3]) ).
cnf(f_2922_5,plain,
( v1_finset_1(k10_rlvect_2(U_7403,U_7402))
| ~ sP1319(U_7402,U_7403) ),
inference(clausify,[status(thm)],[f_2922_3]) ).
cnf(f_2922_6,plain,
( m1_subset_1(k10_rlvect_2(U_7403,U_7402),k1_zfmisc_1(u1_struct_0(U_7403)))
| ~ sP1319(U_7402,U_7403) ),
inference(clausify,[status(thm)],[f_2922_3]) ).
fof(f_2923_1,plain,
! [A] :
( m1_rlvect_2(k11_rlvect_2(A),A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k11_rlvect_2]) ).
fof(f_2923_2,plain,
! [U_7404] :
( m1_rlvect_2(k11_rlvect_2(U_7404),U_7404)
| ~ l1_rlvect_1(U_7404)
| v3_struct_0(U_7404) ),
inference(variable_rename,[status(thm)],[f_2923_1]) ).
fof(f_2923_3,plain,
! [U_7404] :
( m1_rlvect_2(k11_rlvect_2(U_7404),U_7404)
| ~ l1_rlvect_1(U_7404)
| v3_struct_0(U_7404) ),
inference(definitional_conversion,[status(esa)],[f_2923_2]) ).
cnf(f_2923_4,plain,
( m1_rlvect_2(k11_rlvect_2(U_7404),U_7404)
| ~ l1_rlvect_1(U_7404)
| v3_struct_0(U_7404) ),
inference(clausify,[status(thm)],[f_2923_3]) ).
fof(f_2924_1,plain,
! [A,B,C] :
( m2_finseq_1(k12_rlvect_2(A,B,C),u1_struct_0(A))
| ~ m1_relset_1(C,u1_struct_0(A),k1_numbers)
| ~ v1_funct_2(C,u1_struct_0(A),k1_numbers)
| ~ v1_funct_1(C)
| ~ m1_finseq_1(B,u1_struct_0(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k12_rlvect_2]) ).
fof(f_2924_2,plain,
! [U_7407,U_7406,U_7405] :
( m2_finseq_1(k12_rlvect_2(U_7407,U_7406,U_7405),u1_struct_0(U_7407))
| ~ m1_relset_1(U_7405,u1_struct_0(U_7407),k1_numbers)
| ~ v1_funct_2(U_7405,u1_struct_0(U_7407),k1_numbers)
| ~ v1_funct_1(U_7405)
| ~ m1_finseq_1(U_7406,u1_struct_0(U_7407))
| ~ l2_rlvect_1(U_7407)
| ~ v7_rlvect_1(U_7407)
| ~ v6_rlvect_1(U_7407)
| ~ v5_rlvect_1(U_7407)
| ~ v4_rlvect_1(U_7407)
| ~ v3_rlvect_1(U_7407)
| v3_struct_0(U_7407) ),
inference(variable_rename,[status(thm)],[f_2924_1]) ).
fof(f_2924_3,plain,
! [U_7405,U_7406,U_7407] :
( m2_finseq_1(k12_rlvect_2(U_7407,U_7406,U_7405),u1_struct_0(U_7407))
| ~ m1_relset_1(U_7405,u1_struct_0(U_7407),k1_numbers)
| ~ v1_funct_2(U_7405,u1_struct_0(U_7407),k1_numbers)
| ~ v1_funct_1(U_7405)
| ~ m1_finseq_1(U_7406,u1_struct_0(U_7407))
| ~ l2_rlvect_1(U_7407)
| ~ v7_rlvect_1(U_7407)
| ~ v6_rlvect_1(U_7407)
| ~ v5_rlvect_1(U_7407)
| ~ v4_rlvect_1(U_7407)
| ~ v3_rlvect_1(U_7407)
| v3_struct_0(U_7407) ),
inference(definitional_conversion,[status(esa)],[f_2924_2]) ).
cnf(f_2924_4,plain,
( m2_finseq_1(k12_rlvect_2(U_7407,U_7406,U_7405),u1_struct_0(U_7407))
| ~ m1_relset_1(U_7405,u1_struct_0(U_7407),k1_numbers)
| ~ v1_funct_2(U_7405,u1_struct_0(U_7407),k1_numbers)
| ~ v1_funct_1(U_7405)
| ~ m1_finseq_1(U_7406,u1_struct_0(U_7407))
| ~ l2_rlvect_1(U_7407)
| ~ v7_rlvect_1(U_7407)
| ~ v6_rlvect_1(U_7407)
| ~ v5_rlvect_1(U_7407)
| ~ v4_rlvect_1(U_7407)
| ~ v3_rlvect_1(U_7407)
| v3_struct_0(U_7407) ),
inference(clausify,[status(thm)],[f_2924_3]) ).
fof(f_2925_1,plain,
! [A,B] :
( m1_subset_1(k13_rlvect_2(A,B),u1_struct_0(A))
| ~ m1_rlvect_2(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k13_rlvect_2]) ).
fof(f_2925_2,plain,
! [U_7409,U_7408] :
( m1_subset_1(k13_rlvect_2(U_7409,U_7408),u1_struct_0(U_7409))
| ~ m1_rlvect_2(U_7408,U_7409)
| ~ l2_rlvect_1(U_7409)
| ~ v7_rlvect_1(U_7409)
| ~ v6_rlvect_1(U_7409)
| ~ v5_rlvect_1(U_7409)
| ~ v4_rlvect_1(U_7409)
| ~ v3_rlvect_1(U_7409)
| v3_struct_0(U_7409) ),
inference(variable_rename,[status(thm)],[f_2925_1]) ).
fof(f_2925_3,plain,
! [U_7408,U_7409] :
( m1_subset_1(k13_rlvect_2(U_7409,U_7408),u1_struct_0(U_7409))
| ~ m1_rlvect_2(U_7408,U_7409)
| ~ l2_rlvect_1(U_7409)
| ~ v7_rlvect_1(U_7409)
| ~ v6_rlvect_1(U_7409)
| ~ v5_rlvect_1(U_7409)
| ~ v4_rlvect_1(U_7409)
| ~ v3_rlvect_1(U_7409)
| v3_struct_0(U_7409) ),
inference(definitional_conversion,[status(esa)],[f_2925_2]) ).
cnf(f_2925_4,plain,
( m1_subset_1(k13_rlvect_2(U_7409,U_7408),u1_struct_0(U_7409))
| ~ m1_rlvect_2(U_7408,U_7409)
| ~ l2_rlvect_1(U_7409)
| ~ v7_rlvect_1(U_7409)
| ~ v6_rlvect_1(U_7409)
| ~ v5_rlvect_1(U_7409)
| ~ v4_rlvect_1(U_7409)
| ~ v3_rlvect_1(U_7409)
| v3_struct_0(U_7409) ),
inference(clausify,[status(thm)],[f_2925_3]) ).
fof(f_2926_1,plain,
! [A,B,C] :
( m1_rlvect_2(k14_rlvect_2(A,B,C),A)
| ~ m1_rlvect_2(C,A)
| ~ m1_rlvect_2(B,A)
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k14_rlvect_2]) ).
fof(f_2926_2,plain,
! [U_7412,U_7411,U_7410] :
( m1_rlvect_2(k14_rlvect_2(U_7412,U_7411,U_7410),U_7412)
| ~ m1_rlvect_2(U_7410,U_7412)
| ~ m1_rlvect_2(U_7411,U_7412)
| ~ l1_rlvect_1(U_7412)
| v3_struct_0(U_7412) ),
inference(variable_rename,[status(thm)],[f_2926_1]) ).
fof(f_2926_3,plain,
! [U_7412,U_7411,U_7410] :
( m1_rlvect_2(k14_rlvect_2(U_7412,U_7411,U_7410),U_7412)
| ~ m1_rlvect_2(U_7410,U_7412)
| ~ m1_rlvect_2(U_7411,U_7412)
| ~ l1_rlvect_1(U_7412)
| v3_struct_0(U_7412) ),
inference(definitional_conversion,[status(esa)],[f_2926_2]) ).
cnf(f_2926_4,plain,
( m1_rlvect_2(k14_rlvect_2(U_7412,U_7411,U_7410),U_7412)
| ~ m1_rlvect_2(U_7410,U_7412)
| ~ m1_rlvect_2(U_7411,U_7412)
| ~ l1_rlvect_1(U_7412)
| v3_struct_0(U_7412) ),
inference(clausify,[status(thm)],[f_2926_3]) ).
fof(f_2927_1,plain,
! [A,B,C] :
( m1_rlvect_2(k15_rlvect_2(A,B,C),A)
| ~ m1_rlvect_2(C,A)
| ~ m1_subset_1(B,k1_numbers)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k15_rlvect_2]) ).
fof(f_2927_2,plain,
! [U_7415,U_7414,U_7413] :
( m1_rlvect_2(k15_rlvect_2(U_7415,U_7414,U_7413),U_7415)
| ~ m1_rlvect_2(U_7413,U_7415)
| ~ m1_subset_1(U_7414,k1_numbers)
| ~ l2_rlvect_1(U_7415)
| ~ v7_rlvect_1(U_7415)
| ~ v6_rlvect_1(U_7415)
| ~ v5_rlvect_1(U_7415)
| ~ v4_rlvect_1(U_7415)
| ~ v3_rlvect_1(U_7415)
| v3_struct_0(U_7415) ),
inference(variable_rename,[status(thm)],[f_2927_1]) ).
fof(f_2927_3,plain,
! [U_7413,U_7414,U_7415] :
( m1_rlvect_2(k15_rlvect_2(U_7415,U_7414,U_7413),U_7415)
| ~ m1_rlvect_2(U_7413,U_7415)
| ~ m1_subset_1(U_7414,k1_numbers)
| ~ l2_rlvect_1(U_7415)
| ~ v7_rlvect_1(U_7415)
| ~ v6_rlvect_1(U_7415)
| ~ v5_rlvect_1(U_7415)
| ~ v4_rlvect_1(U_7415)
| ~ v3_rlvect_1(U_7415)
| v3_struct_0(U_7415) ),
inference(definitional_conversion,[status(esa)],[f_2927_2]) ).
cnf(f_2927_4,plain,
( m1_rlvect_2(k15_rlvect_2(U_7415,U_7414,U_7413),U_7415)
| ~ m1_rlvect_2(U_7413,U_7415)
| ~ m1_subset_1(U_7414,k1_numbers)
| ~ l2_rlvect_1(U_7415)
| ~ v7_rlvect_1(U_7415)
| ~ v6_rlvect_1(U_7415)
| ~ v5_rlvect_1(U_7415)
| ~ v4_rlvect_1(U_7415)
| ~ v3_rlvect_1(U_7415)
| v3_struct_0(U_7415) ),
inference(clausify,[status(thm)],[f_2927_3]) ).
fof(f_2928_1,plain,
! [A,B] :
( m1_rlvect_2(k16_rlvect_2(A,B),A)
| ~ m1_rlvect_2(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k16_rlvect_2]) ).
fof(f_2928_2,plain,
! [U_7417,U_7416] :
( m1_rlvect_2(k16_rlvect_2(U_7417,U_7416),U_7417)
| ~ m1_rlvect_2(U_7416,U_7417)
| ~ l2_rlvect_1(U_7417)
| ~ v7_rlvect_1(U_7417)
| ~ v6_rlvect_1(U_7417)
| ~ v5_rlvect_1(U_7417)
| ~ v4_rlvect_1(U_7417)
| ~ v3_rlvect_1(U_7417)
| v3_struct_0(U_7417) ),
inference(variable_rename,[status(thm)],[f_2928_1]) ).
fof(f_2928_3,plain,
! [U_7417,U_7416] :
( m1_rlvect_2(k16_rlvect_2(U_7417,U_7416),U_7417)
| ~ m1_rlvect_2(U_7416,U_7417)
| ~ l2_rlvect_1(U_7417)
| ~ v7_rlvect_1(U_7417)
| ~ v6_rlvect_1(U_7417)
| ~ v5_rlvect_1(U_7417)
| ~ v4_rlvect_1(U_7417)
| ~ v3_rlvect_1(U_7417)
| v3_struct_0(U_7417) ),
inference(definitional_conversion,[status(esa)],[f_2928_2]) ).
cnf(f_2928_4,plain,
( m1_rlvect_2(k16_rlvect_2(U_7417,U_7416),U_7417)
| ~ m1_rlvect_2(U_7416,U_7417)
| ~ l2_rlvect_1(U_7417)
| ~ v7_rlvect_1(U_7417)
| ~ v6_rlvect_1(U_7417)
| ~ v5_rlvect_1(U_7417)
| ~ v4_rlvect_1(U_7417)
| ~ v3_rlvect_1(U_7417)
| v3_struct_0(U_7417) ),
inference(clausify,[status(thm)],[f_2928_3]) ).
fof(f_2929_1,plain,
! [A,B,C] :
( m1_rlvect_2(k17_rlvect_2(A,B,C),A)
| ~ m1_rlvect_2(C,A)
| ~ m1_rlvect_2(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k17_rlvect_2]) ).
fof(f_2929_2,plain,
! [U_7420,U_7419,U_7418] :
( m1_rlvect_2(k17_rlvect_2(U_7420,U_7419,U_7418),U_7420)
| ~ m1_rlvect_2(U_7418,U_7420)
| ~ m1_rlvect_2(U_7419,U_7420)
| ~ l2_rlvect_1(U_7420)
| ~ v7_rlvect_1(U_7420)
| ~ v6_rlvect_1(U_7420)
| ~ v5_rlvect_1(U_7420)
| ~ v4_rlvect_1(U_7420)
| ~ v3_rlvect_1(U_7420)
| v3_struct_0(U_7420) ),
inference(variable_rename,[status(thm)],[f_2929_1]) ).
fof(f_2929_3,plain,
! [U_7419,U_7420,U_7418] :
( m1_rlvect_2(k17_rlvect_2(U_7420,U_7419,U_7418),U_7420)
| ~ m1_rlvect_2(U_7418,U_7420)
| ~ m1_rlvect_2(U_7419,U_7420)
| ~ l2_rlvect_1(U_7420)
| ~ v7_rlvect_1(U_7420)
| ~ v6_rlvect_1(U_7420)
| ~ v5_rlvect_1(U_7420)
| ~ v4_rlvect_1(U_7420)
| ~ v3_rlvect_1(U_7420)
| v3_struct_0(U_7420) ),
inference(definitional_conversion,[status(esa)],[f_2929_2]) ).
cnf(f_2929_4,plain,
( m1_rlvect_2(k17_rlvect_2(U_7420,U_7419,U_7418),U_7420)
| ~ m1_rlvect_2(U_7418,U_7420)
| ~ m1_rlvect_2(U_7419,U_7420)
| ~ l2_rlvect_1(U_7420)
| ~ v7_rlvect_1(U_7420)
| ~ v6_rlvect_1(U_7420)
| ~ v5_rlvect_1(U_7420)
| ~ v4_rlvect_1(U_7420)
| ~ v3_rlvect_1(U_7420)
| v3_struct_0(U_7420) ),
inference(clausify,[status(thm)],[f_2929_3]) ).
fof(f_2930_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k18_rlvect_2]) ).
fof(f_2930_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2930_1]) ).
cnf(f_2930_3,plain,
$true,
inference(clausify,[status(thm)],[f_2930_2]) ).
fof(f_2931_1,plain,
! [A,B] :
( m1_rlvect_2(k19_rlvect_2(A,B),A)
| ~ m1_subset_1(B,k18_rlvect_2(A))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k19_rlvect_2]) ).
fof(f_2931_2,plain,
! [U_7422,U_7421] :
( m1_rlvect_2(k19_rlvect_2(U_7422,U_7421),U_7422)
| ~ m1_subset_1(U_7421,k18_rlvect_2(U_7422))
| ~ l2_rlvect_1(U_7422)
| ~ v7_rlvect_1(U_7422)
| ~ v6_rlvect_1(U_7422)
| ~ v5_rlvect_1(U_7422)
| ~ v4_rlvect_1(U_7422)
| ~ v3_rlvect_1(U_7422)
| v3_struct_0(U_7422) ),
inference(variable_rename,[status(thm)],[f_2931_1]) ).
fof(f_2931_3,plain,
! [U_7421,U_7422] :
( m1_rlvect_2(k19_rlvect_2(U_7422,U_7421),U_7422)
| ~ m1_subset_1(U_7421,k18_rlvect_2(U_7422))
| ~ l2_rlvect_1(U_7422)
| ~ v7_rlvect_1(U_7422)
| ~ v6_rlvect_1(U_7422)
| ~ v5_rlvect_1(U_7422)
| ~ v4_rlvect_1(U_7422)
| ~ v3_rlvect_1(U_7422)
| v3_struct_0(U_7422) ),
inference(definitional_conversion,[status(esa)],[f_2931_2]) ).
cnf(f_2931_4,plain,
( m1_rlvect_2(k19_rlvect_2(U_7422,U_7421),U_7422)
| ~ m1_subset_1(U_7421,k18_rlvect_2(U_7422))
| ~ l2_rlvect_1(U_7422)
| ~ v7_rlvect_1(U_7422)
| ~ v6_rlvect_1(U_7422)
| ~ v5_rlvect_1(U_7422)
| ~ v4_rlvect_1(U_7422)
| ~ v3_rlvect_1(U_7422)
| v3_struct_0(U_7422) ),
inference(clausify,[status(thm)],[f_2931_3]) ).
fof(f_2932_1,plain,
! [A,B] :
( m1_subset_1(k20_rlvect_2(A,B),k18_rlvect_2(A))
| ~ m1_rlvect_2(B,A)
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k20_rlvect_2]) ).
fof(f_2932_2,plain,
! [U_7424,U_7423] :
( m1_subset_1(k20_rlvect_2(U_7424,U_7423),k18_rlvect_2(U_7424))
| ~ m1_rlvect_2(U_7423,U_7424)
| ~ l2_rlvect_1(U_7424)
| ~ v7_rlvect_1(U_7424)
| ~ v6_rlvect_1(U_7424)
| ~ v5_rlvect_1(U_7424)
| ~ v4_rlvect_1(U_7424)
| ~ v3_rlvect_1(U_7424)
| v3_struct_0(U_7424) ),
inference(variable_rename,[status(thm)],[f_2932_1]) ).
fof(f_2932_3,plain,
! [U_7423,U_7424] :
( m1_subset_1(k20_rlvect_2(U_7424,U_7423),k18_rlvect_2(U_7424))
| ~ m1_rlvect_2(U_7423,U_7424)
| ~ l2_rlvect_1(U_7424)
| ~ v7_rlvect_1(U_7424)
| ~ v6_rlvect_1(U_7424)
| ~ v5_rlvect_1(U_7424)
| ~ v4_rlvect_1(U_7424)
| ~ v3_rlvect_1(U_7424)
| v3_struct_0(U_7424) ),
inference(definitional_conversion,[status(esa)],[f_2932_2]) ).
cnf(f_2932_4,plain,
( m1_subset_1(k20_rlvect_2(U_7424,U_7423),k18_rlvect_2(U_7424))
| ~ m1_rlvect_2(U_7423,U_7424)
| ~ l2_rlvect_1(U_7424)
| ~ v7_rlvect_1(U_7424)
| ~ v6_rlvect_1(U_7424)
| ~ v5_rlvect_1(U_7424)
| ~ v4_rlvect_1(U_7424)
| ~ v3_rlvect_1(U_7424)
| v3_struct_0(U_7424) ),
inference(clausify,[status(thm)],[f_2932_3]) ).
fof(f_2933_1,plain,
! [A] :
( ( m2_relset_1(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_2(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_1(k21_rlvect_2(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k21_rlvect_2]) ).
fof(f_2933_2,plain,
! [U_7425] :
( ( m2_relset_1(k21_rlvect_2(U_7425),k2_zfmisc_1(k18_rlvect_2(U_7425),k18_rlvect_2(U_7425)),k18_rlvect_2(U_7425))
& v1_funct_2(k21_rlvect_2(U_7425),k2_zfmisc_1(k18_rlvect_2(U_7425),k18_rlvect_2(U_7425)),k18_rlvect_2(U_7425))
& v1_funct_1(k21_rlvect_2(U_7425)) )
| ~ l2_rlvect_1(U_7425)
| ~ v7_rlvect_1(U_7425)
| ~ v6_rlvect_1(U_7425)
| ~ v5_rlvect_1(U_7425)
| ~ v4_rlvect_1(U_7425)
| ~ v3_rlvect_1(U_7425)
| v3_struct_0(U_7425) ),
inference(variable_rename,[status(thm)],[f_2933_1]) ).
fof(f_2933_3,plain,
( ! [U_7425] :
( m2_relset_1(k21_rlvect_2(U_7425),k2_zfmisc_1(k18_rlvect_2(U_7425),k18_rlvect_2(U_7425)),k18_rlvect_2(U_7425))
| ~ sP1320(U_7425) )
& ! [U_7425] :
( v1_funct_2(k21_rlvect_2(U_7425),k2_zfmisc_1(k18_rlvect_2(U_7425),k18_rlvect_2(U_7425)),k18_rlvect_2(U_7425))
| ~ sP1320(U_7425) )
& ! [U_7425] :
( v1_funct_1(k21_rlvect_2(U_7425))
| ~ sP1320(U_7425) )
& ! [U_7425] :
( sP1320(U_7425)
| ~ l2_rlvect_1(U_7425)
| ~ v7_rlvect_1(U_7425)
| ~ v6_rlvect_1(U_7425)
| ~ v5_rlvect_1(U_7425)
| ~ v4_rlvect_1(U_7425)
| ~ v3_rlvect_1(U_7425)
| v3_struct_0(U_7425) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1320])],[f_2933_2]) ).
cnf(f_2933_4,plain,
( sP1320(U_7425)
| ~ l2_rlvect_1(U_7425)
| ~ v7_rlvect_1(U_7425)
| ~ v6_rlvect_1(U_7425)
| ~ v5_rlvect_1(U_7425)
| ~ v4_rlvect_1(U_7425)
| ~ v3_rlvect_1(U_7425)
| v3_struct_0(U_7425) ),
inference(clausify,[status(thm)],[f_2933_3]) ).
cnf(f_2933_5,plain,
( v1_funct_1(k21_rlvect_2(U_7425))
| ~ sP1320(U_7425) ),
inference(clausify,[status(thm)],[f_2933_3]) ).
cnf(f_2933_6,plain,
( v1_funct_2(k21_rlvect_2(U_7425),k2_zfmisc_1(k18_rlvect_2(U_7425),k18_rlvect_2(U_7425)),k18_rlvect_2(U_7425))
| ~ sP1320(U_7425) ),
inference(clausify,[status(thm)],[f_2933_3]) ).
cnf(f_2933_7,plain,
( m2_relset_1(k21_rlvect_2(U_7425),k2_zfmisc_1(k18_rlvect_2(U_7425),k18_rlvect_2(U_7425)),k18_rlvect_2(U_7425))
| ~ sP1320(U_7425) ),
inference(clausify,[status(thm)],[f_2933_3]) ).
fof(f_2934_1,plain,
! [A] :
( ( m2_relset_1(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_2(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A))
& v1_funct_1(k22_rlvect_2(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k22_rlvect_2]) ).
fof(f_2934_2,plain,
! [U_7426] :
( ( m2_relset_1(k22_rlvect_2(U_7426),k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7426)),k18_rlvect_2(U_7426))
& v1_funct_2(k22_rlvect_2(U_7426),k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7426)),k18_rlvect_2(U_7426))
& v1_funct_1(k22_rlvect_2(U_7426)) )
| ~ l2_rlvect_1(U_7426)
| ~ v7_rlvect_1(U_7426)
| ~ v6_rlvect_1(U_7426)
| ~ v5_rlvect_1(U_7426)
| ~ v4_rlvect_1(U_7426)
| ~ v3_rlvect_1(U_7426)
| v3_struct_0(U_7426) ),
inference(variable_rename,[status(thm)],[f_2934_1]) ).
fof(f_2934_3,plain,
( ! [U_7426] :
( m2_relset_1(k22_rlvect_2(U_7426),k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7426)),k18_rlvect_2(U_7426))
| ~ sP1321(U_7426) )
& ! [U_7426] :
( v1_funct_2(k22_rlvect_2(U_7426),k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7426)),k18_rlvect_2(U_7426))
| ~ sP1321(U_7426) )
& ! [U_7426] :
( v1_funct_1(k22_rlvect_2(U_7426))
| ~ sP1321(U_7426) )
& ! [U_7426] :
( sP1321(U_7426)
| ~ l2_rlvect_1(U_7426)
| ~ v7_rlvect_1(U_7426)
| ~ v6_rlvect_1(U_7426)
| ~ v5_rlvect_1(U_7426)
| ~ v4_rlvect_1(U_7426)
| ~ v3_rlvect_1(U_7426)
| v3_struct_0(U_7426) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1321])],[f_2934_2]) ).
cnf(f_2934_4,plain,
( sP1321(U_7426)
| ~ l2_rlvect_1(U_7426)
| ~ v7_rlvect_1(U_7426)
| ~ v6_rlvect_1(U_7426)
| ~ v5_rlvect_1(U_7426)
| ~ v4_rlvect_1(U_7426)
| ~ v3_rlvect_1(U_7426)
| v3_struct_0(U_7426) ),
inference(clausify,[status(thm)],[f_2934_3]) ).
cnf(f_2934_5,plain,
( v1_funct_1(k22_rlvect_2(U_7426))
| ~ sP1321(U_7426) ),
inference(clausify,[status(thm)],[f_2934_3]) ).
cnf(f_2934_6,plain,
( v1_funct_2(k22_rlvect_2(U_7426),k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7426)),k18_rlvect_2(U_7426))
| ~ sP1321(U_7426) ),
inference(clausify,[status(thm)],[f_2934_3]) ).
cnf(f_2934_7,plain,
( m2_relset_1(k22_rlvect_2(U_7426),k2_zfmisc_1(k1_numbers,k18_rlvect_2(U_7426)),k18_rlvect_2(U_7426))
| ~ sP1321(U_7426) ),
inference(clausify,[status(thm)],[f_2934_3]) ).
fof(f_2935_1,plain,
! [A] :
( ( l2_rlvect_1(k23_rlvect_2(A))
& v7_rlvect_1(k23_rlvect_2(A))
& v6_rlvect_1(k23_rlvect_2(A))
& v5_rlvect_1(k23_rlvect_2(A))
& v4_rlvect_1(k23_rlvect_2(A))
& v3_rlvect_1(k23_rlvect_2(A))
& ~ v3_struct_0(k23_rlvect_2(A)) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k23_rlvect_2]) ).
fof(f_2935_2,plain,
! [U_7427] :
( ( l2_rlvect_1(k23_rlvect_2(U_7427))
& v7_rlvect_1(k23_rlvect_2(U_7427))
& v6_rlvect_1(k23_rlvect_2(U_7427))
& v5_rlvect_1(k23_rlvect_2(U_7427))
& v4_rlvect_1(k23_rlvect_2(U_7427))
& v3_rlvect_1(k23_rlvect_2(U_7427))
& ~ v3_struct_0(k23_rlvect_2(U_7427)) )
| ~ l2_rlvect_1(U_7427)
| ~ v7_rlvect_1(U_7427)
| ~ v6_rlvect_1(U_7427)
| ~ v5_rlvect_1(U_7427)
| ~ v4_rlvect_1(U_7427)
| ~ v3_rlvect_1(U_7427)
| v3_struct_0(U_7427) ),
inference(variable_rename,[status(thm)],[f_2935_1]) ).
fof(f_2935_3,plain,
( ! [U_7427] :
( l2_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( v7_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( v6_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( v5_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( v4_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( v3_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( ~ v3_struct_0(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) )
& ! [U_7427] :
( sP1322(U_7427)
| ~ l2_rlvect_1(U_7427)
| ~ v7_rlvect_1(U_7427)
| ~ v6_rlvect_1(U_7427)
| ~ v5_rlvect_1(U_7427)
| ~ v4_rlvect_1(U_7427)
| ~ v3_rlvect_1(U_7427)
| v3_struct_0(U_7427) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1322])],[f_2935_2]) ).
cnf(f_2935_4,plain,
( sP1322(U_7427)
| ~ l2_rlvect_1(U_7427)
| ~ v7_rlvect_1(U_7427)
| ~ v6_rlvect_1(U_7427)
| ~ v5_rlvect_1(U_7427)
| ~ v4_rlvect_1(U_7427)
| ~ v3_rlvect_1(U_7427)
| v3_struct_0(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_5,plain,
( ~ v3_struct_0(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_6,plain,
( v3_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_7,plain,
( v4_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_8,plain,
( v5_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_9,plain,
( v6_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_10,plain,
( v7_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
cnf(f_2935_11,plain,
( l2_rlvect_1(k23_rlvect_2(U_7427))
| ~ sP1322(U_7427) ),
inference(clausify,[status(thm)],[f_2935_3]) ).
fof(f_2936_1,plain,
! [A,B] :
( ( m1_rlsub_1(k24_rlvect_2(A,B),k23_rlvect_2(A))
& v2_rlvect_1(k24_rlvect_2(A,B)) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k24_rlvect_2]) ).
fof(f_2936_2,plain,
! [U_7429,U_7428] :
( ( m1_rlsub_1(k24_rlvect_2(U_7429,U_7428),k23_rlvect_2(U_7429))
& v2_rlvect_1(k24_rlvect_2(U_7429,U_7428)) )
| ~ m1_subset_1(U_7428,k1_zfmisc_1(u1_struct_0(U_7429)))
| ~ l2_rlvect_1(U_7429)
| ~ v7_rlvect_1(U_7429)
| ~ v6_rlvect_1(U_7429)
| ~ v5_rlvect_1(U_7429)
| ~ v4_rlvect_1(U_7429)
| ~ v3_rlvect_1(U_7429)
| v3_struct_0(U_7429) ),
inference(variable_rename,[status(thm)],[f_2936_1]) ).
fof(f_2936_3,plain,
( ! [U_7428,U_7429] :
( m1_rlsub_1(k24_rlvect_2(U_7429,U_7428),k23_rlvect_2(U_7429))
| ~ sP1323(U_7428,U_7429) )
& ! [U_7428,U_7429] :
( v2_rlvect_1(k24_rlvect_2(U_7429,U_7428))
| ~ sP1323(U_7428,U_7429) )
& ! [U_7428,U_7429] :
( sP1323(U_7428,U_7429)
| ~ m1_subset_1(U_7428,k1_zfmisc_1(u1_struct_0(U_7429)))
| ~ l2_rlvect_1(U_7429)
| ~ v7_rlvect_1(U_7429)
| ~ v6_rlvect_1(U_7429)
| ~ v5_rlvect_1(U_7429)
| ~ v4_rlvect_1(U_7429)
| ~ v3_rlvect_1(U_7429)
| v3_struct_0(U_7429) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1323])],[f_2936_2]) ).
cnf(f_2936_4,plain,
( sP1323(U_7428,U_7429)
| ~ m1_subset_1(U_7428,k1_zfmisc_1(u1_struct_0(U_7429)))
| ~ l2_rlvect_1(U_7429)
| ~ v7_rlvect_1(U_7429)
| ~ v6_rlvect_1(U_7429)
| ~ v5_rlvect_1(U_7429)
| ~ v4_rlvect_1(U_7429)
| ~ v3_rlvect_1(U_7429)
| v3_struct_0(U_7429) ),
inference(clausify,[status(thm)],[f_2936_3]) ).
cnf(f_2936_5,plain,
( v2_rlvect_1(k24_rlvect_2(U_7429,U_7428))
| ~ sP1323(U_7428,U_7429) ),
inference(clausify,[status(thm)],[f_2936_3]) ).
cnf(f_2936_6,plain,
( m1_rlsub_1(k24_rlvect_2(U_7429,U_7428),k23_rlvect_2(U_7429))
| ~ sP1323(U_7428,U_7429) ),
inference(clausify,[status(thm)],[f_2936_3]) ).
fof(f_2937_1,plain,
! [A] :
( ! [B] :
( k10_rlvect_2(A,B) = a_2_0_rlvect_2(A,B)
| ~ m1_rlvect_2(B,A) )
| ~ l1_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_rlvect_2]) ).
fof(f_2937_2,plain,
! [U_7431] :
( ! [U_7430] :
( k10_rlvect_2(U_7431,U_7430) = a_2_0_rlvect_2(U_7431,U_7430)
| ~ m1_rlvect_2(U_7430,U_7431) )
| ~ l1_rlvect_1(U_7431)
| v3_struct_0(U_7431) ),
inference(variable_rename,[status(thm)],[f_2937_1]) ).
fof(f_2937_3,plain,
! [U_7430,U_7431] :
( k10_rlvect_2(U_7431,U_7430) = a_2_0_rlvect_2(U_7431,U_7430)
| ~ m1_rlvect_2(U_7430,U_7431)
| ~ l1_rlvect_1(U_7431)
| v3_struct_0(U_7431) ),
inference(definitional_conversion,[status(esa)],[f_2937_2]) ).
cnf(f_2937_4,plain,
( k10_rlvect_2(U_7431,U_7430) = a_2_0_rlvect_2(U_7431,U_7430)
| ~ m1_rlvect_2(U_7430,U_7431)
| ~ l1_rlvect_1(U_7431)
| v3_struct_0(U_7431) ),
inference(clausify,[status(thm)],[f_2937_3]) ).
fof(f_2938_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k24_rlvect_2(A,B)
| u1_struct_0(C) != a_2_1_rlvect_2(A,B) )
& ( u1_struct_0(C) = a_2_1_rlvect_2(A,B)
| C != k24_rlvect_2(A,B) ) )
| ~ m1_rlsub_1(C,k23_rlvect_2(A))
| ~ v2_rlvect_1(C) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l2_rlvect_1(A)
| ~ v7_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d22_rlvect_2]) ).
fof(f_2938_2,plain,
! [U_7434] :
( ! [U_7433] :
( ! [U_7432] :
( ( ( U_7432 = k24_rlvect_2(U_7434,U_7433)
| u1_struct_0(U_7432) != a_2_1_rlvect_2(U_7434,U_7433) )
& ( u1_struct_0(U_7432) = a_2_1_rlvect_2(U_7434,U_7433)
| U_7432 != k24_rlvect_2(U_7434,U_7433) ) )
| ~ m1_rlsub_1(U_7432,k23_rlvect_2(U_7434))
| ~ v2_rlvect_1(U_7432) )
| ~ m1_subset_1(U_7433,k1_zfmisc_1(u1_struct_0(U_7434))) )
| ~ l2_rlvect_1(U_7434)
| ~ v7_rlvect_1(U_7434)
| ~ v6_rlvect_1(U_7434)
| ~ v5_rlvect_1(U_7434)
| ~ v4_rlvect_1(U_7434)
| ~ v3_rlvect_1(U_7434)
| v3_struct_0(U_7434) ),
inference(variable_rename,[status(thm)],[f_2938_1]) ).
fof(f_2938_3,plain,
( ! [U_7432,U_7433,U_7434] :
( U_7432 = k24_rlvect_2(U_7434,U_7433)
| u1_struct_0(U_7432) != a_2_1_rlvect_2(U_7434,U_7433)
| ~ sP1324(U_7432,U_7433,U_7434) )
& ! [U_7432,U_7433,U_7434] :
( u1_struct_0(U_7432) = a_2_1_rlvect_2(U_7434,U_7433)
| U_7432 != k24_rlvect_2(U_7434,U_7433)
| ~ sP1324(U_7432,U_7433,U_7434) )
& ! [U_7432,U_7433,U_7434] :
( sP1324(U_7432,U_7433,U_7434)
| ~ m1_rlsub_1(U_7432,k23_rlvect_2(U_7434))
| ~ v2_rlvect_1(U_7432)
| ~ m1_subset_1(U_7433,k1_zfmisc_1(u1_struct_0(U_7434)))
| ~ l2_rlvect_1(U_7434)
| ~ v7_rlvect_1(U_7434)
| ~ v6_rlvect_1(U_7434)
| ~ v5_rlvect_1(U_7434)
| ~ v4_rlvect_1(U_7434)
| ~ v3_rlvect_1(U_7434)
| v3_struct_0(U_7434) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1324])],[f_2938_2]) ).
cnf(f_2938_4,plain,
( sP1324(U_7432,U_7433,U_7434)
| ~ m1_rlsub_1(U_7432,k23_rlvect_2(U_7434))
| ~ v2_rlvect_1(U_7432)
| ~ m1_subset_1(U_7433,k1_zfmisc_1(u1_struct_0(U_7434)))
| ~ l2_rlvect_1(U_7434)
| ~ v7_rlvect_1(U_7434)
| ~ v6_rlvect_1(U_7434)
| ~ v5_rlvect_1(U_7434)
| ~ v4_rlvect_1(U_7434)
| ~ v3_rlvect_1(U_7434)
| v3_struct_0(U_7434) ),
inference(clausify,[status(thm)],[f_2938_3]) ).
cnf(f_2938_5,plain,
( u1_struct_0(U_7432) = a_2_1_rlvect_2(U_7434,U_7433)
| U_7432 != k24_rlvect_2(U_7434,U_7433)
| ~ sP1324(U_7432,U_7433,U_7434) ),
inference(clausify,[status(thm)],[f_2938_3]) ).
cnf(f_2938_6,plain,
( U_7432 = k24_rlvect_2(U_7434,U_7433)
| u1_struct_0(U_7432) != a_2_1_rlvect_2(U_7434,U_7433)
| ~ sP1324(U_7432,U_7433,U_7434) ),
inference(clausify,[status(thm)],[f_2938_3]) ).
fof(f_2939_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,a_2_0_rlvect_2(B,C))
| ! [D] :
( k8_funct_2(u1_struct_0(B),k1_numbers,C,D) = np__0
| A != D
| ~ m1_subset_1(D,u1_struct_0(B)) ) )
& ( ? [D] :
( k8_funct_2(u1_struct_0(B),k1_numbers,C,D) != np__0
& A = D
& m1_subset_1(D,u1_struct_0(B)) )
| ~ r2_hidden(A,a_2_0_rlvect_2(B,C)) ) )
| ~ m1_rlvect_2(C,B)
| ~ l1_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_2_0_rlvect_2]) ).
fof(f_2939_2,plain,
! [U_7439,U_7438,U_7437] :
( ( ( r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437))
| ! [U_7436] :
( k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,U_7436) = np__0
| U_7439 != U_7436
| ~ m1_subset_1(U_7436,u1_struct_0(U_7438)) ) )
& ( ? [U_7435] :
( k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,U_7435) != np__0
& U_7439 = U_7435
& m1_subset_1(U_7435,u1_struct_0(U_7438)) )
| ~ r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437)) ) )
| ~ m1_rlvect_2(U_7437,U_7438)
| ~ l1_rlvect_1(U_7438)
| v3_struct_0(U_7438) ),
inference(variable_rename,[status(thm)],[f_2939_1]) ).
fof(f_2939_3,plain,
! [U_7439,U_7438,U_7437] :
( ( ( r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437))
| ! [U_7436] :
( k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,U_7436) = np__0
| U_7439 != U_7436
| ~ m1_subset_1(U_7436,u1_struct_0(U_7438)) ) )
& ( ( k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,sK893(U_7439,U_7438,U_7437)) != np__0
& U_7439 = sK893(U_7439,U_7438,U_7437)
& m1_subset_1(sK893(U_7439,U_7438,U_7437),u1_struct_0(U_7438)) )
| ~ r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437)) ) )
| ~ m1_rlvect_2(U_7437,U_7438)
| ~ l1_rlvect_1(U_7438)
| v3_struct_0(U_7438) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK893]),skolemize(U_7435,sK893(U_7439,U_7438,U_7437))],[f_2939_2]) ).
fof(f_2939_4,plain,
( ! [U_7439,U_7438,U_7437] :
( k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,sK893(U_7439,U_7438,U_7437)) != np__0
| ~ sP1325(U_7439,U_7438,U_7437) )
& ! [U_7439,U_7438,U_7437] :
( U_7439 = sK893(U_7439,U_7438,U_7437)
| ~ sP1325(U_7439,U_7438,U_7437) )
& ! [U_7439,U_7438,U_7437] :
( m1_subset_1(sK893(U_7439,U_7438,U_7437),u1_struct_0(U_7438))
| ~ sP1325(U_7439,U_7438,U_7437) )
& ! [U_7436,U_7439,U_7438,U_7437] :
( r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437))
| k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,U_7436) = np__0
| U_7439 != U_7436
| ~ m1_subset_1(U_7436,u1_struct_0(U_7438))
| ~ sP1326(U_7436,U_7439,U_7438,U_7437) )
& ! [U_7436,U_7439,U_7438,U_7437] :
( sP1325(U_7439,U_7438,U_7437)
| ~ r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437))
| ~ sP1326(U_7436,U_7439,U_7438,U_7437) )
& ! [U_7436,U_7439,U_7438,U_7437] :
( sP1326(U_7436,U_7439,U_7438,U_7437)
| ~ m1_rlvect_2(U_7437,U_7438)
| ~ l1_rlvect_1(U_7438)
| v3_struct_0(U_7438) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1325,sP1326])],[f_2939_3]) ).
cnf(f_2939_5,plain,
( sP1326(U_7436,U_7439,U_7438,U_7437)
| ~ m1_rlvect_2(U_7437,U_7438)
| ~ l1_rlvect_1(U_7438)
| v3_struct_0(U_7438) ),
inference(clausify,[status(thm)],[f_2939_4]) ).
cnf(f_2939_6,plain,
( sP1325(U_7439,U_7438,U_7437)
| ~ r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437))
| ~ sP1326(U_7436,U_7439,U_7438,U_7437) ),
inference(clausify,[status(thm)],[f_2939_4]) ).
cnf(f_2939_7,plain,
( r2_hidden(U_7439,a_2_0_rlvect_2(U_7438,U_7437))
| k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,U_7436) = np__0
| U_7439 != U_7436
| ~ m1_subset_1(U_7436,u1_struct_0(U_7438))
| ~ sP1326(U_7436,U_7439,U_7438,U_7437) ),
inference(clausify,[status(thm)],[f_2939_4]) ).
cnf(f_2939_8,plain,
( m1_subset_1(sK893(U_7439,U_7438,U_7437),u1_struct_0(U_7438))
| ~ sP1325(U_7439,U_7438,U_7437) ),
inference(clausify,[status(thm)],[f_2939_4]) ).
cnf(f_2939_9,plain,
( U_7439 = sK893(U_7439,U_7438,U_7437)
| ~ sP1325(U_7439,U_7438,U_7437) ),
inference(clausify,[status(thm)],[f_2939_4]) ).
cnf(f_2939_10,plain,
( k8_funct_2(u1_struct_0(U_7438),k1_numbers,U_7437,sK893(U_7439,U_7438,U_7437)) != np__0
| ~ sP1325(U_7439,U_7438,U_7437) ),
inference(clausify,[status(thm)],[f_2939_4]) ).
fof(f_2940_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,a_2_1_rlvect_2(B,C))
| ! [D] :
( A != D
| ~ m2_rlvect_2(D,B,C) ) )
& ( ? [D] :
( A = D
& m2_rlvect_2(D,B,C) )
| ~ r2_hidden(A,a_2_1_rlvect_2(B,C)) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l2_rlvect_1(B)
| ~ v7_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_2_1_rlvect_2]) ).
fof(f_2940_2,plain,
! [U_7444,U_7443,U_7442] :
( ( ( r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442))
| ! [U_7441] :
( U_7444 != U_7441
| ~ m2_rlvect_2(U_7441,U_7443,U_7442) ) )
& ( ? [U_7440] :
( U_7444 = U_7440
& m2_rlvect_2(U_7440,U_7443,U_7442) )
| ~ r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442)) ) )
| ~ m1_subset_1(U_7442,k1_zfmisc_1(u1_struct_0(U_7443)))
| ~ l2_rlvect_1(U_7443)
| ~ v7_rlvect_1(U_7443)
| ~ v6_rlvect_1(U_7443)
| ~ v5_rlvect_1(U_7443)
| ~ v4_rlvect_1(U_7443)
| ~ v3_rlvect_1(U_7443)
| v3_struct_0(U_7443) ),
inference(variable_rename,[status(thm)],[f_2940_1]) ).
fof(f_2940_3,plain,
! [U_7444,U_7443,U_7442] :
( ( ( r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442))
| ! [U_7441] :
( U_7444 != U_7441
| ~ m2_rlvect_2(U_7441,U_7443,U_7442) ) )
& ( ( U_7444 = sK894(U_7444,U_7443,U_7442)
& m2_rlvect_2(sK894(U_7444,U_7443,U_7442),U_7443,U_7442) )
| ~ r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442)) ) )
| ~ m1_subset_1(U_7442,k1_zfmisc_1(u1_struct_0(U_7443)))
| ~ l2_rlvect_1(U_7443)
| ~ v7_rlvect_1(U_7443)
| ~ v6_rlvect_1(U_7443)
| ~ v5_rlvect_1(U_7443)
| ~ v4_rlvect_1(U_7443)
| ~ v3_rlvect_1(U_7443)
| v3_struct_0(U_7443) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK894]),skolemize(U_7440,sK894(U_7444,U_7443,U_7442))],[f_2940_2]) ).
fof(f_2940_4,plain,
( ! [U_7442,U_7443,U_7444] :
( U_7444 = sK894(U_7444,U_7443,U_7442)
| ~ sP1327(U_7442,U_7443,U_7444) )
& ! [U_7442,U_7443,U_7444] :
( m2_rlvect_2(sK894(U_7444,U_7443,U_7442),U_7443,U_7442)
| ~ sP1327(U_7442,U_7443,U_7444) )
& ! [U_7442,U_7443,U_7441,U_7444] :
( r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442))
| U_7444 != U_7441
| ~ m2_rlvect_2(U_7441,U_7443,U_7442)
| ~ sP1328(U_7442,U_7443,U_7441,U_7444) )
& ! [U_7442,U_7443,U_7441,U_7444] :
( sP1327(U_7442,U_7443,U_7444)
| ~ r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442))
| ~ sP1328(U_7442,U_7443,U_7441,U_7444) )
& ! [U_7442,U_7443,U_7441,U_7444] :
( sP1328(U_7442,U_7443,U_7441,U_7444)
| ~ m1_subset_1(U_7442,k1_zfmisc_1(u1_struct_0(U_7443)))
| ~ l2_rlvect_1(U_7443)
| ~ v7_rlvect_1(U_7443)
| ~ v6_rlvect_1(U_7443)
| ~ v5_rlvect_1(U_7443)
| ~ v4_rlvect_1(U_7443)
| ~ v3_rlvect_1(U_7443)
| v3_struct_0(U_7443) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1327,sP1328])],[f_2940_3]) ).
cnf(f_2940_5,plain,
( sP1328(U_7442,U_7443,U_7441,U_7444)
| ~ m1_subset_1(U_7442,k1_zfmisc_1(u1_struct_0(U_7443)))
| ~ l2_rlvect_1(U_7443)
| ~ v7_rlvect_1(U_7443)
| ~ v6_rlvect_1(U_7443)
| ~ v5_rlvect_1(U_7443)
| ~ v4_rlvect_1(U_7443)
| ~ v3_rlvect_1(U_7443)
| v3_struct_0(U_7443) ),
inference(clausify,[status(thm)],[f_2940_4]) ).
cnf(f_2940_6,plain,
( sP1327(U_7442,U_7443,U_7444)
| ~ r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442))
| ~ sP1328(U_7442,U_7443,U_7441,U_7444) ),
inference(clausify,[status(thm)],[f_2940_4]) ).
cnf(f_2940_7,plain,
( r2_hidden(U_7444,a_2_1_rlvect_2(U_7443,U_7442))
| U_7444 != U_7441
| ~ m2_rlvect_2(U_7441,U_7443,U_7442)
| ~ sP1328(U_7442,U_7443,U_7441,U_7444) ),
inference(clausify,[status(thm)],[f_2940_4]) ).
cnf(f_2940_8,plain,
( m2_rlvect_2(sK894(U_7444,U_7443,U_7442),U_7443,U_7442)
| ~ sP1327(U_7442,U_7443,U_7444) ),
inference(clausify,[status(thm)],[f_2940_4]) ).
cnf(f_2940_9,plain,
( U_7444 = sK894(U_7444,U_7443,U_7442)
| ~ sP1327(U_7442,U_7443,U_7444) ),
inference(clausify,[status(thm)],[f_2940_4]) ).
fof(f_2941_1,plain,
! [A] :
( ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) )
| ~ v1_vectsp_2(A)
| v3_struct_0(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_vectsp_2]) ).
fof(f_2941_2,plain,
! [U_7445] :
( ( v8_vectsp_1(U_7445)
& v6_vectsp_1(U_7445)
& v2_group_1(U_7445)
& ~ v3_struct_0(U_7445) )
| ~ v1_vectsp_2(U_7445)
| v3_struct_0(U_7445)
| ~ l1_vectsp_1(U_7445) ),
inference(variable_rename,[status(thm)],[f_2941_1]) ).
fof(f_2941_3,plain,
( ! [U_7445] :
( v8_vectsp_1(U_7445)
| ~ sP1329(U_7445) )
& ! [U_7445] :
( v6_vectsp_1(U_7445)
| ~ sP1329(U_7445) )
& ! [U_7445] :
( v2_group_1(U_7445)
| ~ sP1329(U_7445) )
& ! [U_7445] :
( ~ v3_struct_0(U_7445)
| ~ sP1329(U_7445) )
& ! [U_7445] :
( sP1329(U_7445)
| ~ v1_vectsp_2(U_7445)
| v3_struct_0(U_7445)
| ~ l1_vectsp_1(U_7445) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1329])],[f_2941_2]) ).
cnf(f_2941_4,plain,
( sP1329(U_7445)
| ~ v1_vectsp_2(U_7445)
| v3_struct_0(U_7445)
| ~ l1_vectsp_1(U_7445) ),
inference(clausify,[status(thm)],[f_2941_3]) ).
cnf(f_2941_5,plain,
( ~ v3_struct_0(U_7445)
| ~ sP1329(U_7445) ),
inference(clausify,[status(thm)],[f_2941_3]) ).
cnf(f_2941_6,plain,
( v2_group_1(U_7445)
| ~ sP1329(U_7445) ),
inference(clausify,[status(thm)],[f_2941_3]) ).
cnf(f_2941_7,plain,
( v6_vectsp_1(U_7445)
| ~ sP1329(U_7445) ),
inference(clausify,[status(thm)],[f_2941_3]) ).
cnf(f_2941_8,plain,
( v8_vectsp_1(U_7445)
| ~ sP1329(U_7445) ),
inference(clausify,[status(thm)],[f_2941_3]) ).
fof(f_2942_1,plain,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_vectsp_2]) ).
fof(f_2942_2,plain,
? [U_7446] :
( v8_vectsp_1(U_7446)
& v7_vectsp_1(U_7446)
& v6_vectsp_1(U_7446)
& v5_vectsp_1(U_7446)
& v4_vectsp_1(U_7446)
& v3_vectsp_1(U_7446)
& v2_group_1(U_7446)
& v6_rlvect_1(U_7446)
& v5_rlvect_1(U_7446)
& v4_rlvect_1(U_7446)
& v3_rlvect_1(U_7446)
& ~ v3_struct_0(U_7446)
& l3_vectsp_1(U_7446) ),
inference(variable_rename,[status(thm)],[f_2942_1]) ).
fof(f_2942_3,plain,
( v8_vectsp_1(sK895)
& v7_vectsp_1(sK895)
& v6_vectsp_1(sK895)
& v5_vectsp_1(sK895)
& v4_vectsp_1(sK895)
& v3_vectsp_1(sK895)
& v2_group_1(sK895)
& v6_rlvect_1(sK895)
& v5_rlvect_1(sK895)
& v4_rlvect_1(sK895)
& v3_rlvect_1(sK895)
& ~ v3_struct_0(sK895)
& l3_vectsp_1(sK895) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK895]),skolemize(U_7446,sK895)],[f_2942_2]) ).
fof(f_2942_4,plain,
( v8_vectsp_1(sK895)
& v7_vectsp_1(sK895)
& v6_vectsp_1(sK895)
& v5_vectsp_1(sK895)
& v4_vectsp_1(sK895)
& v3_vectsp_1(sK895)
& v2_group_1(sK895)
& v6_rlvect_1(sK895)
& v5_rlvect_1(sK895)
& v4_rlvect_1(sK895)
& v3_rlvect_1(sK895)
& ~ v3_struct_0(sK895)
& l3_vectsp_1(sK895) ),
inference(definitional_conversion,[status(esa)],[f_2942_3]) ).
cnf(f_2942_5,plain,
l3_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_6,plain,
~ v3_struct_0(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_7,plain,
v3_rlvect_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_8,plain,
v4_rlvect_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_9,plain,
v5_rlvect_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_10,plain,
v6_rlvect_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_11,plain,
v2_group_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_12,plain,
v3_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_13,plain,
v4_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_14,plain,
v5_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_15,plain,
v6_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_16,plain,
v7_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
cnf(f_2942_17,plain,
v8_vectsp_1(sK895),
inference(clausify,[status(thm)],[f_2942_4]) ).
fof(f_2943_1,plain,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_vectsp_2]) ).
fof(f_2943_2,plain,
? [U_7447] :
( v8_vectsp_1(U_7447)
& v7_vectsp_1(U_7447)
& v6_vectsp_1(U_7447)
& v5_vectsp_1(U_7447)
& v4_vectsp_1(U_7447)
& v3_vectsp_1(U_7447)
& v4_group_1(U_7447)
& v2_group_1(U_7447)
& v6_rlvect_1(U_7447)
& v5_rlvect_1(U_7447)
& v4_rlvect_1(U_7447)
& v3_rlvect_1(U_7447)
& ~ v3_struct_0(U_7447)
& l3_vectsp_1(U_7447) ),
inference(variable_rename,[status(thm)],[f_2943_1]) ).
fof(f_2943_3,plain,
( v8_vectsp_1(sK896)
& v7_vectsp_1(sK896)
& v6_vectsp_1(sK896)
& v5_vectsp_1(sK896)
& v4_vectsp_1(sK896)
& v3_vectsp_1(sK896)
& v4_group_1(sK896)
& v2_group_1(sK896)
& v6_rlvect_1(sK896)
& v5_rlvect_1(sK896)
& v4_rlvect_1(sK896)
& v3_rlvect_1(sK896)
& ~ v3_struct_0(sK896)
& l3_vectsp_1(sK896) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK896]),skolemize(U_7447,sK896)],[f_2943_2]) ).
fof(f_2943_4,plain,
( v8_vectsp_1(sK896)
& v7_vectsp_1(sK896)
& v6_vectsp_1(sK896)
& v5_vectsp_1(sK896)
& v4_vectsp_1(sK896)
& v3_vectsp_1(sK896)
& v4_group_1(sK896)
& v2_group_1(sK896)
& v6_rlvect_1(sK896)
& v5_rlvect_1(sK896)
& v4_rlvect_1(sK896)
& v3_rlvect_1(sK896)
& ~ v3_struct_0(sK896)
& l3_vectsp_1(sK896) ),
inference(definitional_conversion,[status(esa)],[f_2943_3]) ).
cnf(f_2943_5,plain,
l3_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_6,plain,
~ v3_struct_0(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_7,plain,
v3_rlvect_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_8,plain,
v4_rlvect_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_9,plain,
v5_rlvect_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_10,plain,
v6_rlvect_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_11,plain,
v2_group_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_12,plain,
v4_group_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_13,plain,
v3_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_14,plain,
v4_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_15,plain,
v5_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_16,plain,
v6_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_17,plain,
v7_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
cnf(f_2943_18,plain,
v8_vectsp_1(sK896),
inference(clausify,[status(thm)],[f_2943_4]) ).
fof(f_2944_1,plain,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_vectsp_2]) ).
fof(f_2944_2,plain,
? [U_7448] :
( v8_vectsp_1(U_7448)
& v7_vectsp_1(U_7448)
& v6_vectsp_1(U_7448)
& v5_vectsp_1(U_7448)
& v4_vectsp_1(U_7448)
& v7_group_1(U_7448)
& v4_group_1(U_7448)
& v2_group_1(U_7448)
& v6_rlvect_1(U_7448)
& v5_rlvect_1(U_7448)
& v4_rlvect_1(U_7448)
& v3_rlvect_1(U_7448)
& ~ v3_struct_0(U_7448)
& l3_vectsp_1(U_7448) ),
inference(variable_rename,[status(thm)],[f_2944_1]) ).
fof(f_2944_3,plain,
( v8_vectsp_1(sK897)
& v7_vectsp_1(sK897)
& v6_vectsp_1(sK897)
& v5_vectsp_1(sK897)
& v4_vectsp_1(sK897)
& v7_group_1(sK897)
& v4_group_1(sK897)
& v2_group_1(sK897)
& v6_rlvect_1(sK897)
& v5_rlvect_1(sK897)
& v4_rlvect_1(sK897)
& v3_rlvect_1(sK897)
& ~ v3_struct_0(sK897)
& l3_vectsp_1(sK897) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK897]),skolemize(U_7448,sK897)],[f_2944_2]) ).
fof(f_2944_4,plain,
( v8_vectsp_1(sK897)
& v7_vectsp_1(sK897)
& v6_vectsp_1(sK897)
& v5_vectsp_1(sK897)
& v4_vectsp_1(sK897)
& v7_group_1(sK897)
& v4_group_1(sK897)
& v2_group_1(sK897)
& v6_rlvect_1(sK897)
& v5_rlvect_1(sK897)
& v4_rlvect_1(sK897)
& v3_rlvect_1(sK897)
& ~ v3_struct_0(sK897)
& l3_vectsp_1(sK897) ),
inference(definitional_conversion,[status(esa)],[f_2944_3]) ).
cnf(f_2944_5,plain,
l3_vectsp_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_6,plain,
~ v3_struct_0(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_7,plain,
v3_rlvect_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_8,plain,
v4_rlvect_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_9,plain,
v5_rlvect_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_10,plain,
v6_rlvect_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_11,plain,
v2_group_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_12,plain,
v4_group_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_13,plain,
v7_group_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_14,plain,
v4_vectsp_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_15,plain,
v5_vectsp_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_16,plain,
v6_vectsp_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_17,plain,
v7_vectsp_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
cnf(f_2944_18,plain,
v8_vectsp_1(sK897),
inference(clausify,[status(thm)],[f_2944_4]) ).
fof(f_2945_1,plain,
? [A] :
( v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc4_vectsp_2]) ).
fof(f_2945_2,plain,
? [U_7449] :
( v8_vectsp_1(U_7449)
& v7_vectsp_1(U_7449)
& v6_vectsp_1(U_7449)
& v5_vectsp_1(U_7449)
& v4_vectsp_1(U_7449)
& v3_vectsp_1(U_7449)
& v7_group_1(U_7449)
& v4_group_1(U_7449)
& v2_group_1(U_7449)
& v6_rlvect_1(U_7449)
& v5_rlvect_1(U_7449)
& v4_rlvect_1(U_7449)
& v3_rlvect_1(U_7449)
& ~ v3_struct_0(U_7449)
& l3_vectsp_1(U_7449) ),
inference(variable_rename,[status(thm)],[f_2945_1]) ).
fof(f_2945_3,plain,
( v8_vectsp_1(sK898)
& v7_vectsp_1(sK898)
& v6_vectsp_1(sK898)
& v5_vectsp_1(sK898)
& v4_vectsp_1(sK898)
& v3_vectsp_1(sK898)
& v7_group_1(sK898)
& v4_group_1(sK898)
& v2_group_1(sK898)
& v6_rlvect_1(sK898)
& v5_rlvect_1(sK898)
& v4_rlvect_1(sK898)
& v3_rlvect_1(sK898)
& ~ v3_struct_0(sK898)
& l3_vectsp_1(sK898) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK898]),skolemize(U_7449,sK898)],[f_2945_2]) ).
fof(f_2945_4,plain,
( v8_vectsp_1(sK898)
& v7_vectsp_1(sK898)
& v6_vectsp_1(sK898)
& v5_vectsp_1(sK898)
& v4_vectsp_1(sK898)
& v3_vectsp_1(sK898)
& v7_group_1(sK898)
& v4_group_1(sK898)
& v2_group_1(sK898)
& v6_rlvect_1(sK898)
& v5_rlvect_1(sK898)
& v4_rlvect_1(sK898)
& v3_rlvect_1(sK898)
& ~ v3_struct_0(sK898)
& l3_vectsp_1(sK898) ),
inference(definitional_conversion,[status(esa)],[f_2945_3]) ).
cnf(f_2945_5,plain,
l3_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_6,plain,
~ v3_struct_0(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_7,plain,
v3_rlvect_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_8,plain,
v4_rlvect_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_9,plain,
v5_rlvect_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_10,plain,
v6_rlvect_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_11,plain,
v2_group_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_12,plain,
v4_group_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_13,plain,
v7_group_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_14,plain,
v3_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_15,plain,
v4_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_16,plain,
v5_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_17,plain,
v6_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_18,plain,
v7_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
cnf(f_2945_19,plain,
v8_vectsp_1(sK898),
inference(clausify,[status(thm)],[f_2945_4]) ).
fof(f_2946_1,plain,
? [A] :
( v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_vectsp_2]) ).
fof(f_2946_2,plain,
? [U_7450] :
( v2_vectsp_2(U_7450)
& ~ v10_vectsp_1(U_7450)
& v8_vectsp_1(U_7450)
& v7_vectsp_1(U_7450)
& v6_vectsp_1(U_7450)
& v5_vectsp_1(U_7450)
& v4_vectsp_1(U_7450)
& v3_vectsp_1(U_7450)
& v7_group_1(U_7450)
& v4_group_1(U_7450)
& v2_group_1(U_7450)
& v6_rlvect_1(U_7450)
& v5_rlvect_1(U_7450)
& v4_rlvect_1(U_7450)
& v3_rlvect_1(U_7450)
& ~ v3_struct_0(U_7450)
& l3_vectsp_1(U_7450) ),
inference(variable_rename,[status(thm)],[f_2946_1]) ).
fof(f_2946_3,plain,
( v2_vectsp_2(sK899)
& ~ v10_vectsp_1(sK899)
& v8_vectsp_1(sK899)
& v7_vectsp_1(sK899)
& v6_vectsp_1(sK899)
& v5_vectsp_1(sK899)
& v4_vectsp_1(sK899)
& v3_vectsp_1(sK899)
& v7_group_1(sK899)
& v4_group_1(sK899)
& v2_group_1(sK899)
& v6_rlvect_1(sK899)
& v5_rlvect_1(sK899)
& v4_rlvect_1(sK899)
& v3_rlvect_1(sK899)
& ~ v3_struct_0(sK899)
& l3_vectsp_1(sK899) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK899]),skolemize(U_7450,sK899)],[f_2946_2]) ).
fof(f_2946_4,plain,
( v2_vectsp_2(sK899)
& ~ v10_vectsp_1(sK899)
& v8_vectsp_1(sK899)
& v7_vectsp_1(sK899)
& v6_vectsp_1(sK899)
& v5_vectsp_1(sK899)
& v4_vectsp_1(sK899)
& v3_vectsp_1(sK899)
& v7_group_1(sK899)
& v4_group_1(sK899)
& v2_group_1(sK899)
& v6_rlvect_1(sK899)
& v5_rlvect_1(sK899)
& v4_rlvect_1(sK899)
& v3_rlvect_1(sK899)
& ~ v3_struct_0(sK899)
& l3_vectsp_1(sK899) ),
inference(definitional_conversion,[status(esa)],[f_2946_3]) ).
cnf(f_2946_5,plain,
l3_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_6,plain,
~ v3_struct_0(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_7,plain,
v3_rlvect_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_8,plain,
v4_rlvect_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_9,plain,
v5_rlvect_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_10,plain,
v6_rlvect_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_11,plain,
v2_group_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_12,plain,
v4_group_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_13,plain,
v7_group_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_14,plain,
v3_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_15,plain,
v4_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_16,plain,
v5_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_17,plain,
v6_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_18,plain,
v7_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_19,plain,
v8_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_20,plain,
~ v10_vectsp_1(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
cnf(f_2946_21,plain,
v2_vectsp_2(sK899),
inference(clausify,[status(thm)],[f_2946_4]) ).
fof(f_2947_1,plain,
? [A] :
( ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc6_vectsp_2]) ).
fof(f_2947_2,plain,
? [U_7451] :
( ~ v10_vectsp_1(U_7451)
& v9_vectsp_1(U_7451)
& v8_vectsp_1(U_7451)
& v7_vectsp_1(U_7451)
& v6_vectsp_1(U_7451)
& v5_vectsp_1(U_7451)
& v4_vectsp_1(U_7451)
& v4_group_1(U_7451)
& v2_group_1(U_7451)
& v6_rlvect_1(U_7451)
& v5_rlvect_1(U_7451)
& v4_rlvect_1(U_7451)
& v3_rlvect_1(U_7451)
& ~ v3_struct_0(U_7451)
& l3_vectsp_1(U_7451) ),
inference(variable_rename,[status(thm)],[f_2947_1]) ).
fof(f_2947_3,plain,
( ~ v10_vectsp_1(sK900)
& v9_vectsp_1(sK900)
& v8_vectsp_1(sK900)
& v7_vectsp_1(sK900)
& v6_vectsp_1(sK900)
& v5_vectsp_1(sK900)
& v4_vectsp_1(sK900)
& v4_group_1(sK900)
& v2_group_1(sK900)
& v6_rlvect_1(sK900)
& v5_rlvect_1(sK900)
& v4_rlvect_1(sK900)
& v3_rlvect_1(sK900)
& ~ v3_struct_0(sK900)
& l3_vectsp_1(sK900) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK900]),skolemize(U_7451,sK900)],[f_2947_2]) ).
fof(f_2947_4,plain,
( ~ v10_vectsp_1(sK900)
& v9_vectsp_1(sK900)
& v8_vectsp_1(sK900)
& v7_vectsp_1(sK900)
& v6_vectsp_1(sK900)
& v5_vectsp_1(sK900)
& v4_vectsp_1(sK900)
& v4_group_1(sK900)
& v2_group_1(sK900)
& v6_rlvect_1(sK900)
& v5_rlvect_1(sK900)
& v4_rlvect_1(sK900)
& v3_rlvect_1(sK900)
& ~ v3_struct_0(sK900)
& l3_vectsp_1(sK900) ),
inference(definitional_conversion,[status(esa)],[f_2947_3]) ).
cnf(f_2947_5,plain,
l3_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_6,plain,
~ v3_struct_0(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_7,plain,
v3_rlvect_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_8,plain,
v4_rlvect_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_9,plain,
v5_rlvect_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_10,plain,
v6_rlvect_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_11,plain,
v2_group_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_12,plain,
v4_group_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_13,plain,
v4_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_14,plain,
v5_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_15,plain,
v6_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_16,plain,
v7_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_17,plain,
v8_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_18,plain,
v9_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
cnf(f_2947_19,plain,
~ v10_vectsp_1(sK900),
inference(clausify,[status(thm)],[f_2947_4]) ).
fof(f_2948_1,plain,
? [A] :
( ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v5_vectsp_1(A)
& v4_vectsp_1(A)
& v3_vectsp_1(A)
& v4_group_1(A)
& v2_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A)
& l3_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[rc7_vectsp_2]) ).
fof(f_2948_2,plain,
? [U_7452] :
( ~ v10_vectsp_1(U_7452)
& v9_vectsp_1(U_7452)
& v8_vectsp_1(U_7452)
& v7_vectsp_1(U_7452)
& v6_vectsp_1(U_7452)
& v5_vectsp_1(U_7452)
& v4_vectsp_1(U_7452)
& v3_vectsp_1(U_7452)
& v4_group_1(U_7452)
& v2_group_1(U_7452)
& v6_rlvect_1(U_7452)
& v5_rlvect_1(U_7452)
& v4_rlvect_1(U_7452)
& v3_rlvect_1(U_7452)
& ~ v3_struct_0(U_7452)
& l3_vectsp_1(U_7452) ),
inference(variable_rename,[status(thm)],[f_2948_1]) ).
fof(f_2948_3,plain,
( ~ v10_vectsp_1(sK901)
& v9_vectsp_1(sK901)
& v8_vectsp_1(sK901)
& v7_vectsp_1(sK901)
& v6_vectsp_1(sK901)
& v5_vectsp_1(sK901)
& v4_vectsp_1(sK901)
& v3_vectsp_1(sK901)
& v4_group_1(sK901)
& v2_group_1(sK901)
& v6_rlvect_1(sK901)
& v5_rlvect_1(sK901)
& v4_rlvect_1(sK901)
& v3_rlvect_1(sK901)
& ~ v3_struct_0(sK901)
& l3_vectsp_1(sK901) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK901]),skolemize(U_7452,sK901)],[f_2948_2]) ).
fof(f_2948_4,plain,
( ~ v10_vectsp_1(sK901)
& v9_vectsp_1(sK901)
& v8_vectsp_1(sK901)
& v7_vectsp_1(sK901)
& v6_vectsp_1(sK901)
& v5_vectsp_1(sK901)
& v4_vectsp_1(sK901)
& v3_vectsp_1(sK901)
& v4_group_1(sK901)
& v2_group_1(sK901)
& v6_rlvect_1(sK901)
& v5_rlvect_1(sK901)
& v4_rlvect_1(sK901)
& v3_rlvect_1(sK901)
& ~ v3_struct_0(sK901)
& l3_vectsp_1(sK901) ),
inference(definitional_conversion,[status(esa)],[f_2948_3]) ).
cnf(f_2948_5,plain,
l3_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_6,plain,
~ v3_struct_0(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_7,plain,
v3_rlvect_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_8,plain,
v4_rlvect_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_9,plain,
v5_rlvect_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_10,plain,
v6_rlvect_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_11,plain,
v2_group_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_12,plain,
v4_group_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_13,plain,
v3_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_14,plain,
v4_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_15,plain,
v5_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_16,plain,
v6_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_17,plain,
v7_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_18,plain,
v8_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_19,plain,
v9_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
cnf(f_2948_20,plain,
~ v10_vectsp_1(sK901),
inference(clausify,[status(thm)],[f_2948_4]) ).
fof(f_2949_1,plain,
! [A] :
( ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) )
| ~ v8_vectsp_1(A)
| ~ v7_group_1(A)
| v3_struct_0(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_vectsp_2]) ).
fof(f_2949_2,plain,
! [U_7453] :
( ( v8_vectsp_1(U_7453)
& v6_vectsp_1(U_7453)
& v2_group_1(U_7453)
& ~ v3_struct_0(U_7453) )
| ~ v8_vectsp_1(U_7453)
| ~ v7_group_1(U_7453)
| v3_struct_0(U_7453)
| ~ l1_vectsp_1(U_7453) ),
inference(variable_rename,[status(thm)],[f_2949_1]) ).
fof(f_2949_3,plain,
( ! [U_7453] :
( v8_vectsp_1(U_7453)
| ~ sP1330(U_7453) )
& ! [U_7453] :
( v6_vectsp_1(U_7453)
| ~ sP1330(U_7453) )
& ! [U_7453] :
( v2_group_1(U_7453)
| ~ sP1330(U_7453) )
& ! [U_7453] :
( ~ v3_struct_0(U_7453)
| ~ sP1330(U_7453) )
& ! [U_7453] :
( sP1330(U_7453)
| ~ v8_vectsp_1(U_7453)
| ~ v7_group_1(U_7453)
| v3_struct_0(U_7453)
| ~ l1_vectsp_1(U_7453) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1330])],[f_2949_2]) ).
cnf(f_2949_4,plain,
( sP1330(U_7453)
| ~ v8_vectsp_1(U_7453)
| ~ v7_group_1(U_7453)
| v3_struct_0(U_7453)
| ~ l1_vectsp_1(U_7453) ),
inference(clausify,[status(thm)],[f_2949_3]) ).
cnf(f_2949_5,plain,
( ~ v3_struct_0(U_7453)
| ~ sP1330(U_7453) ),
inference(clausify,[status(thm)],[f_2949_3]) ).
cnf(f_2949_6,plain,
( v2_group_1(U_7453)
| ~ sP1330(U_7453) ),
inference(clausify,[status(thm)],[f_2949_3]) ).
cnf(f_2949_7,plain,
( v6_vectsp_1(U_7453)
| ~ sP1330(U_7453) ),
inference(clausify,[status(thm)],[f_2949_3]) ).
cnf(f_2949_8,plain,
( v8_vectsp_1(U_7453)
| ~ sP1330(U_7453) ),
inference(clausify,[status(thm)],[f_2949_3]) ).
fof(f_2950_1,plain,
! [A] :
( ( v8_vectsp_1(A)
& v6_vectsp_1(A)
& v2_group_1(A)
& ~ v3_struct_0(A) )
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| v3_struct_0(A)
| ~ l1_vectsp_1(A) ),
inference(fof_nnf,[status(thm)],[cc3_vectsp_2]) ).
fof(f_2950_2,plain,
! [U_7454] :
( ( v8_vectsp_1(U_7454)
& v6_vectsp_1(U_7454)
& v2_group_1(U_7454)
& ~ v3_struct_0(U_7454) )
| ~ v6_vectsp_1(U_7454)
| ~ v7_group_1(U_7454)
| v3_struct_0(U_7454)
| ~ l1_vectsp_1(U_7454) ),
inference(variable_rename,[status(thm)],[f_2950_1]) ).
fof(f_2950_3,plain,
( ! [U_7454] :
( v8_vectsp_1(U_7454)
| ~ sP1331(U_7454) )
& ! [U_7454] :
( v6_vectsp_1(U_7454)
| ~ sP1331(U_7454) )
& ! [U_7454] :
( v2_group_1(U_7454)
| ~ sP1331(U_7454) )
& ! [U_7454] :
( ~ v3_struct_0(U_7454)
| ~ sP1331(U_7454) )
& ! [U_7454] :
( sP1331(U_7454)
| ~ v6_vectsp_1(U_7454)
| ~ v7_group_1(U_7454)
| v3_struct_0(U_7454)
| ~ l1_vectsp_1(U_7454) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1331])],[f_2950_2]) ).
cnf(f_2950_4,plain,
( sP1331(U_7454)
| ~ v6_vectsp_1(U_7454)
| ~ v7_group_1(U_7454)
| v3_struct_0(U_7454)
| ~ l1_vectsp_1(U_7454) ),
inference(clausify,[status(thm)],[f_2950_3]) ).
cnf(f_2950_5,plain,
( ~ v3_struct_0(U_7454)
| ~ sP1331(U_7454) ),
inference(clausify,[status(thm)],[f_2950_3]) ).
cnf(f_2950_6,plain,
( v2_group_1(U_7454)
| ~ sP1331(U_7454) ),
inference(clausify,[status(thm)],[f_2950_3]) ).
cnf(f_2950_7,plain,
( v6_vectsp_1(U_7454)
| ~ sP1331(U_7454) ),
inference(clausify,[status(thm)],[f_2950_3]) ).
cnf(f_2950_8,plain,
( v8_vectsp_1(U_7454)
| ~ sP1331(U_7454) ),
inference(clausify,[status(thm)],[f_2950_3]) ).
fof(f_2951_1,plain,
! [A] :
( ? [B] :
( v3_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc8_vectsp_2]) ).
fof(f_2951_2,plain,
! [U_7456] :
( ? [U_7455] :
( v3_vectsp_2(U_7455,U_7456)
& l1_vectsp_2(U_7455,U_7456) )
| ~ l1_struct_0(U_7456) ),
inference(variable_rename,[status(thm)],[f_2951_1]) ).
fof(f_2951_3,plain,
! [U_7456] :
( ( v3_vectsp_2(sK902(U_7456),U_7456)
& l1_vectsp_2(sK902(U_7456),U_7456) )
| ~ l1_struct_0(U_7456) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK902]),skolemize(U_7455,sK902(U_7456))],[f_2951_2]) ).
fof(f_2951_4,plain,
( ! [U_7456] :
( v3_vectsp_2(sK902(U_7456),U_7456)
| ~ sP1332(U_7456) )
& ! [U_7456] :
( l1_vectsp_2(sK902(U_7456),U_7456)
| ~ sP1332(U_7456) )
& ! [U_7456] :
( sP1332(U_7456)
| ~ l1_struct_0(U_7456) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1332])],[f_2951_3]) ).
cnf(f_2951_5,plain,
( sP1332(U_7456)
| ~ l1_struct_0(U_7456) ),
inference(clausify,[status(thm)],[f_2951_4]) ).
cnf(f_2951_6,plain,
( l1_vectsp_2(sK902(U_7456),U_7456)
| ~ sP1332(U_7456) ),
inference(clausify,[status(thm)],[f_2951_4]) ).
cnf(f_2951_7,plain,
( v3_vectsp_2(sK902(U_7456),U_7456)
| ~ sP1332(U_7456) ),
inference(clausify,[status(thm)],[f_2951_4]) ).
fof(f_2952_1,plain,
! [A] :
( ? [B] :
( ~ v3_struct_0(B)
& l1_vectsp_2(B,A) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc9_vectsp_2]) ).
fof(f_2952_2,plain,
! [U_7458] :
( ? [U_7457] :
( ~ v3_struct_0(U_7457)
& l1_vectsp_2(U_7457,U_7458) )
| ~ l1_struct_0(U_7458) ),
inference(variable_rename,[status(thm)],[f_2952_1]) ).
fof(f_2952_3,plain,
! [U_7458] :
( ( ~ v3_struct_0(sK903(U_7458))
& l1_vectsp_2(sK903(U_7458),U_7458) )
| ~ l1_struct_0(U_7458) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK903]),skolemize(U_7457,sK903(U_7458))],[f_2952_2]) ).
fof(f_2952_4,plain,
( ! [U_7458] :
( ~ v3_struct_0(sK903(U_7458))
| ~ sP1333(U_7458) )
& ! [U_7458] :
( l1_vectsp_2(sK903(U_7458),U_7458)
| ~ sP1333(U_7458) )
& ! [U_7458] :
( sP1333(U_7458)
| ~ l1_struct_0(U_7458) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1333])],[f_2952_3]) ).
cnf(f_2952_5,plain,
( sP1333(U_7458)
| ~ l1_struct_0(U_7458) ),
inference(clausify,[status(thm)],[f_2952_4]) ).
cnf(f_2952_6,plain,
( l1_vectsp_2(sK903(U_7458),U_7458)
| ~ sP1333(U_7458) ),
inference(clausify,[status(thm)],[f_2952_4]) ).
cnf(f_2952_7,plain,
( ~ v3_struct_0(sK903(U_7458))
| ~ sP1333(U_7458) ),
inference(clausify,[status(thm)],[f_2952_4]) ).
fof(f_2953_1,plain,
! [A,B,C,D,E] :
( ( v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A)
& ~ v3_struct_0(g1_vectsp_2(A,B,C,D,E)) )
| ~ m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
| ~ v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
| ~ v1_funct_1(E)
| ~ m1_subset_1(D,B)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| v1_xboole_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_vectsp_2]) ).
fof(f_2953_2,plain,
! [U_7463,U_7462,U_7461,U_7460,U_7459] :
( ( v3_vectsp_2(g1_vectsp_2(U_7463,U_7462,U_7461,U_7460,U_7459),U_7463)
& ~ v3_struct_0(g1_vectsp_2(U_7463,U_7462,U_7461,U_7460,U_7459)) )
| ~ m1_relset_1(U_7459,k2_zfmisc_1(U_7462,u1_struct_0(U_7463)),U_7462)
| ~ v1_funct_2(U_7459,k2_zfmisc_1(U_7462,u1_struct_0(U_7463)),U_7462)
| ~ v1_funct_1(U_7459)
| ~ m1_subset_1(U_7460,U_7462)
| ~ m1_relset_1(U_7461,k2_zfmisc_1(U_7462,U_7462),U_7462)
| ~ v1_funct_2(U_7461,k2_zfmisc_1(U_7462,U_7462),U_7462)
| ~ v1_funct_1(U_7461)
| v1_xboole_0(U_7462)
| ~ l1_struct_0(U_7463) ),
inference(variable_rename,[status(thm)],[f_2953_1]) ).
fof(f_2953_3,plain,
( ! [U_7460,U_7459,U_7461,U_7462,U_7463] :
( v3_vectsp_2(g1_vectsp_2(U_7463,U_7462,U_7461,U_7460,U_7459),U_7463)
| ~ sP1334(U_7460,U_7459,U_7461,U_7462,U_7463) )
& ! [U_7460,U_7459,U_7461,U_7462,U_7463] :
( ~ v3_struct_0(g1_vectsp_2(U_7463,U_7462,U_7461,U_7460,U_7459))
| ~ sP1334(U_7460,U_7459,U_7461,U_7462,U_7463) )
& ! [U_7460,U_7459,U_7461,U_7462,U_7463] :
( sP1334(U_7460,U_7459,U_7461,U_7462,U_7463)
| ~ m1_relset_1(U_7459,k2_zfmisc_1(U_7462,u1_struct_0(U_7463)),U_7462)
| ~ v1_funct_2(U_7459,k2_zfmisc_1(U_7462,u1_struct_0(U_7463)),U_7462)
| ~ v1_funct_1(U_7459)
| ~ m1_subset_1(U_7460,U_7462)
| ~ m1_relset_1(U_7461,k2_zfmisc_1(U_7462,U_7462),U_7462)
| ~ v1_funct_2(U_7461,k2_zfmisc_1(U_7462,U_7462),U_7462)
| ~ v1_funct_1(U_7461)
| v1_xboole_0(U_7462)
| ~ l1_struct_0(U_7463) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1334])],[f_2953_2]) ).
cnf(f_2953_4,plain,
( sP1334(U_7460,U_7459,U_7461,U_7462,U_7463)
| ~ m1_relset_1(U_7459,k2_zfmisc_1(U_7462,u1_struct_0(U_7463)),U_7462)
| ~ v1_funct_2(U_7459,k2_zfmisc_1(U_7462,u1_struct_0(U_7463)),U_7462)
| ~ v1_funct_1(U_7459)
| ~ m1_subset_1(U_7460,U_7462)
| ~ m1_relset_1(U_7461,k2_zfmisc_1(U_7462,U_7462),U_7462)
| ~ v1_funct_2(U_7461,k2_zfmisc_1(U_7462,U_7462),U_7462)
| ~ v1_funct_1(U_7461)
| v1_xboole_0(U_7462)
| ~ l1_struct_0(U_7463) ),
inference(clausify,[status(thm)],[f_2953_3]) ).
cnf(f_2953_5,plain,
( ~ v3_struct_0(g1_vectsp_2(U_7463,U_7462,U_7461,U_7460,U_7459))
| ~ sP1334(U_7460,U_7459,U_7461,U_7462,U_7463) ),
inference(clausify,[status(thm)],[f_2953_3]) ).
cnf(f_2953_6,plain,
( v3_vectsp_2(g1_vectsp_2(U_7463,U_7462,U_7461,U_7460,U_7459),U_7463)
| ~ sP1334(U_7460,U_7459,U_7461,U_7462,U_7463) ),
inference(clausify,[status(thm)],[f_2953_3]) ).
fof(f_2954_1,plain,
! [A,B] :
( ? [C] :
( v4_vectsp_2(C,A,B)
& l2_vectsp_2(C,A,B) )
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc10_vectsp_2]) ).
fof(f_2954_2,plain,
! [U_7466,U_7465] :
( ? [U_7464] :
( v4_vectsp_2(U_7464,U_7466,U_7465)
& l2_vectsp_2(U_7464,U_7466,U_7465) )
| ~ l1_struct_0(U_7465)
| ~ l1_struct_0(U_7466) ),
inference(variable_rename,[status(thm)],[f_2954_1]) ).
fof(f_2954_3,plain,
! [U_7466,U_7465] :
( ( v4_vectsp_2(sK904(U_7466,U_7465),U_7466,U_7465)
& l2_vectsp_2(sK904(U_7466,U_7465),U_7466,U_7465) )
| ~ l1_struct_0(U_7465)
| ~ l1_struct_0(U_7466) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK904]),skolemize(U_7464,sK904(U_7466,U_7465))],[f_2954_2]) ).
fof(f_2954_4,plain,
( ! [U_7466,U_7465] :
( v4_vectsp_2(sK904(U_7466,U_7465),U_7466,U_7465)
| ~ sP1335(U_7466,U_7465) )
& ! [U_7466,U_7465] :
( l2_vectsp_2(sK904(U_7466,U_7465),U_7466,U_7465)
| ~ sP1335(U_7466,U_7465) )
& ! [U_7466,U_7465] :
( sP1335(U_7466,U_7465)
| ~ l1_struct_0(U_7465)
| ~ l1_struct_0(U_7466) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1335])],[f_2954_3]) ).
cnf(f_2954_5,plain,
( sP1335(U_7466,U_7465)
| ~ l1_struct_0(U_7465)
| ~ l1_struct_0(U_7466) ),
inference(clausify,[status(thm)],[f_2954_4]) ).
cnf(f_2954_6,plain,
( l2_vectsp_2(sK904(U_7466,U_7465),U_7466,U_7465)
| ~ sP1335(U_7466,U_7465) ),
inference(clausify,[status(thm)],[f_2954_4]) ).
cnf(f_2954_7,plain,
( v4_vectsp_2(sK904(U_7466,U_7465),U_7466,U_7465)
| ~ sP1335(U_7466,U_7465) ),
inference(clausify,[status(thm)],[f_2954_4]) ).
fof(f_2955_1,plain,
! [A,B] :
( ? [C] :
( ~ v3_struct_0(C)
& l2_vectsp_2(C,A,B) )
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc11_vectsp_2]) ).
fof(f_2955_2,plain,
! [U_7469,U_7468] :
( ? [U_7467] :
( ~ v3_struct_0(U_7467)
& l2_vectsp_2(U_7467,U_7469,U_7468) )
| ~ l1_struct_0(U_7468)
| ~ l1_struct_0(U_7469) ),
inference(variable_rename,[status(thm)],[f_2955_1]) ).
fof(f_2955_3,plain,
! [U_7469,U_7468] :
( ( ~ v3_struct_0(sK905(U_7469,U_7468))
& l2_vectsp_2(sK905(U_7469,U_7468),U_7469,U_7468) )
| ~ l1_struct_0(U_7468)
| ~ l1_struct_0(U_7469) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK905]),skolemize(U_7467,sK905(U_7469,U_7468))],[f_2955_2]) ).
fof(f_2955_4,plain,
( ! [U_7469,U_7468] :
( ~ v3_struct_0(sK905(U_7469,U_7468))
| ~ sP1336(U_7469,U_7468) )
& ! [U_7469,U_7468] :
( l2_vectsp_2(sK905(U_7469,U_7468),U_7469,U_7468)
| ~ sP1336(U_7469,U_7468) )
& ! [U_7469,U_7468] :
( sP1336(U_7469,U_7468)
| ~ l1_struct_0(U_7468)
| ~ l1_struct_0(U_7469) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1336])],[f_2955_3]) ).
cnf(f_2955_5,plain,
( sP1336(U_7469,U_7468)
| ~ l1_struct_0(U_7468)
| ~ l1_struct_0(U_7469) ),
inference(clausify,[status(thm)],[f_2955_4]) ).
cnf(f_2955_6,plain,
( l2_vectsp_2(sK905(U_7469,U_7468),U_7469,U_7468)
| ~ sP1336(U_7469,U_7468) ),
inference(clausify,[status(thm)],[f_2955_4]) ).
cnf(f_2955_7,plain,
( ~ v3_struct_0(sK905(U_7469,U_7468))
| ~ sP1336(U_7469,U_7468) ),
inference(clausify,[status(thm)],[f_2955_4]) ).
fof(f_2956_1,plain,
! [A,B,C,D,E,F,G] :
( ( v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B)
& ~ v3_struct_0(g2_vectsp_2(A,B,C,D,E,F,G)) )
| ~ m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
| ~ v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
| ~ v1_funct_1(G)
| ~ m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C)
| ~ v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C)
| ~ v1_funct_1(F)
| ~ m1_subset_1(E,C)
| ~ m1_relset_1(D,k2_zfmisc_1(C,C),C)
| ~ v1_funct_2(D,k2_zfmisc_1(C,C),C)
| ~ v1_funct_1(D)
| v1_xboole_0(C)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_vectsp_2]) ).
fof(f_2956_2,plain,
! [U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470] :
( ( v4_vectsp_2(g2_vectsp_2(U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470),U_7476,U_7475)
& ~ v3_struct_0(g2_vectsp_2(U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470)) )
| ~ m1_relset_1(U_7470,k2_zfmisc_1(U_7474,u1_struct_0(U_7475)),U_7474)
| ~ v1_funct_2(U_7470,k2_zfmisc_1(U_7474,u1_struct_0(U_7475)),U_7474)
| ~ v1_funct_1(U_7470)
| ~ m1_relset_1(U_7471,k2_zfmisc_1(u1_struct_0(U_7476),U_7474),U_7474)
| ~ v1_funct_2(U_7471,k2_zfmisc_1(u1_struct_0(U_7476),U_7474),U_7474)
| ~ v1_funct_1(U_7471)
| ~ m1_subset_1(U_7472,U_7474)
| ~ m1_relset_1(U_7473,k2_zfmisc_1(U_7474,U_7474),U_7474)
| ~ v1_funct_2(U_7473,k2_zfmisc_1(U_7474,U_7474),U_7474)
| ~ v1_funct_1(U_7473)
| v1_xboole_0(U_7474)
| ~ l1_struct_0(U_7475)
| ~ l1_struct_0(U_7476) ),
inference(variable_rename,[status(thm)],[f_2956_1]) ).
fof(f_2956_3,plain,
( ! [U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472] :
( v4_vectsp_2(g2_vectsp_2(U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470),U_7476,U_7475)
| ~ sP1337(U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472) )
& ! [U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472] :
( ~ v3_struct_0(g2_vectsp_2(U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470))
| ~ sP1337(U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472) )
& ! [U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472] :
( sP1337(U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472)
| ~ m1_relset_1(U_7470,k2_zfmisc_1(U_7474,u1_struct_0(U_7475)),U_7474)
| ~ v1_funct_2(U_7470,k2_zfmisc_1(U_7474,u1_struct_0(U_7475)),U_7474)
| ~ v1_funct_1(U_7470)
| ~ m1_relset_1(U_7471,k2_zfmisc_1(u1_struct_0(U_7476),U_7474),U_7474)
| ~ v1_funct_2(U_7471,k2_zfmisc_1(u1_struct_0(U_7476),U_7474),U_7474)
| ~ v1_funct_1(U_7471)
| ~ m1_subset_1(U_7472,U_7474)
| ~ m1_relset_1(U_7473,k2_zfmisc_1(U_7474,U_7474),U_7474)
| ~ v1_funct_2(U_7473,k2_zfmisc_1(U_7474,U_7474),U_7474)
| ~ v1_funct_1(U_7473)
| v1_xboole_0(U_7474)
| ~ l1_struct_0(U_7475)
| ~ l1_struct_0(U_7476) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1337])],[f_2956_2]) ).
cnf(f_2956_4,plain,
( sP1337(U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472)
| ~ m1_relset_1(U_7470,k2_zfmisc_1(U_7474,u1_struct_0(U_7475)),U_7474)
| ~ v1_funct_2(U_7470,k2_zfmisc_1(U_7474,u1_struct_0(U_7475)),U_7474)
| ~ v1_funct_1(U_7470)
| ~ m1_relset_1(U_7471,k2_zfmisc_1(u1_struct_0(U_7476),U_7474),U_7474)
| ~ v1_funct_2(U_7471,k2_zfmisc_1(u1_struct_0(U_7476),U_7474),U_7474)
| ~ v1_funct_1(U_7471)
| ~ m1_subset_1(U_7472,U_7474)
| ~ m1_relset_1(U_7473,k2_zfmisc_1(U_7474,U_7474),U_7474)
| ~ v1_funct_2(U_7473,k2_zfmisc_1(U_7474,U_7474),U_7474)
| ~ v1_funct_1(U_7473)
| v1_xboole_0(U_7474)
| ~ l1_struct_0(U_7475)
| ~ l1_struct_0(U_7476) ),
inference(clausify,[status(thm)],[f_2956_3]) ).
cnf(f_2956_5,plain,
( ~ v3_struct_0(g2_vectsp_2(U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470))
| ~ sP1337(U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472) ),
inference(clausify,[status(thm)],[f_2956_3]) ).
cnf(f_2956_6,plain,
( v4_vectsp_2(g2_vectsp_2(U_7476,U_7475,U_7474,U_7473,U_7472,U_7471,U_7470),U_7476,U_7475)
| ~ sP1337(U_7473,U_7475,U_7476,U_7474,U_7471,U_7470,U_7472) ),
inference(clausify,[status(thm)],[f_2956_3]) ).
fof(f_2957_1,plain,
! [A] :
( ? [B] :
( v11_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc12_vectsp_2]) ).
fof(f_2957_2,plain,
! [U_7478] :
( ? [U_7477] :
( v11_vectsp_1(U_7477,U_7478)
& v6_rlvect_1(U_7477)
& v5_rlvect_1(U_7477)
& v4_rlvect_1(U_7477)
& v3_rlvect_1(U_7477)
& ~ v3_struct_0(U_7477)
& l4_vectsp_1(U_7477,U_7478) )
| ~ l3_vectsp_1(U_7478)
| ~ v8_vectsp_1(U_7478)
| ~ v7_vectsp_1(U_7478)
| ~ v6_vectsp_1(U_7478)
| ~ v4_group_1(U_7478)
| ~ v6_rlvect_1(U_7478)
| ~ v5_rlvect_1(U_7478)
| ~ v4_rlvect_1(U_7478)
| ~ v3_rlvect_1(U_7478)
| v3_struct_0(U_7478) ),
inference(variable_rename,[status(thm)],[f_2957_1]) ).
fof(f_2957_3,plain,
! [U_7478] :
( ( v11_vectsp_1(sK906(U_7478),U_7478)
& v6_rlvect_1(sK906(U_7478))
& v5_rlvect_1(sK906(U_7478))
& v4_rlvect_1(sK906(U_7478))
& v3_rlvect_1(sK906(U_7478))
& ~ v3_struct_0(sK906(U_7478))
& l4_vectsp_1(sK906(U_7478),U_7478) )
| ~ l3_vectsp_1(U_7478)
| ~ v8_vectsp_1(U_7478)
| ~ v7_vectsp_1(U_7478)
| ~ v6_vectsp_1(U_7478)
| ~ v4_group_1(U_7478)
| ~ v6_rlvect_1(U_7478)
| ~ v5_rlvect_1(U_7478)
| ~ v4_rlvect_1(U_7478)
| ~ v3_rlvect_1(U_7478)
| v3_struct_0(U_7478) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK906]),skolemize(U_7477,sK906(U_7478))],[f_2957_2]) ).
fof(f_2957_4,plain,
( ! [U_7478] :
( v11_vectsp_1(sK906(U_7478),U_7478)
| ~ sP1338(U_7478) )
& ! [U_7478] :
( v6_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) )
& ! [U_7478] :
( v5_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) )
& ! [U_7478] :
( v4_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) )
& ! [U_7478] :
( v3_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) )
& ! [U_7478] :
( ~ v3_struct_0(sK906(U_7478))
| ~ sP1338(U_7478) )
& ! [U_7478] :
( l4_vectsp_1(sK906(U_7478),U_7478)
| ~ sP1338(U_7478) )
& ! [U_7478] :
( sP1338(U_7478)
| ~ l3_vectsp_1(U_7478)
| ~ v8_vectsp_1(U_7478)
| ~ v7_vectsp_1(U_7478)
| ~ v6_vectsp_1(U_7478)
| ~ v4_group_1(U_7478)
| ~ v6_rlvect_1(U_7478)
| ~ v5_rlvect_1(U_7478)
| ~ v4_rlvect_1(U_7478)
| ~ v3_rlvect_1(U_7478)
| v3_struct_0(U_7478) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1338])],[f_2957_3]) ).
cnf(f_2957_5,plain,
( sP1338(U_7478)
| ~ l3_vectsp_1(U_7478)
| ~ v8_vectsp_1(U_7478)
| ~ v7_vectsp_1(U_7478)
| ~ v6_vectsp_1(U_7478)
| ~ v4_group_1(U_7478)
| ~ v6_rlvect_1(U_7478)
| ~ v5_rlvect_1(U_7478)
| ~ v4_rlvect_1(U_7478)
| ~ v3_rlvect_1(U_7478)
| v3_struct_0(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_6,plain,
( l4_vectsp_1(sK906(U_7478),U_7478)
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_7,plain,
( ~ v3_struct_0(sK906(U_7478))
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_8,plain,
( v3_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_9,plain,
( v4_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_10,plain,
( v5_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_11,plain,
( v6_rlvect_1(sK906(U_7478))
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
cnf(f_2957_12,plain,
( v11_vectsp_1(sK906(U_7478),U_7478)
| ~ sP1338(U_7478) ),
inference(clausify,[status(thm)],[f_2957_4]) ).
fof(f_2958_1,plain,
! [A] :
( ? [B] :
( v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l1_vectsp_2(B,A) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc13_vectsp_2]) ).
fof(f_2958_2,plain,
! [U_7480] :
( ? [U_7479] :
( v3_vectsp_2(U_7479,U_7480)
& v6_rlvect_1(U_7479)
& v5_rlvect_1(U_7479)
& v4_rlvect_1(U_7479)
& v3_rlvect_1(U_7479)
& ~ v3_struct_0(U_7479)
& l1_vectsp_2(U_7479,U_7480) )
| ~ l3_vectsp_1(U_7480)
| ~ v8_vectsp_1(U_7480)
| ~ v7_vectsp_1(U_7480)
| ~ v6_vectsp_1(U_7480)
| ~ v4_group_1(U_7480)
| ~ v6_rlvect_1(U_7480)
| ~ v5_rlvect_1(U_7480)
| ~ v4_rlvect_1(U_7480)
| ~ v3_rlvect_1(U_7480)
| v3_struct_0(U_7480) ),
inference(variable_rename,[status(thm)],[f_2958_1]) ).
fof(f_2958_3,plain,
! [U_7480] :
( ( v3_vectsp_2(sK907(U_7480),U_7480)
& v6_rlvect_1(sK907(U_7480))
& v5_rlvect_1(sK907(U_7480))
& v4_rlvect_1(sK907(U_7480))
& v3_rlvect_1(sK907(U_7480))
& ~ v3_struct_0(sK907(U_7480))
& l1_vectsp_2(sK907(U_7480),U_7480) )
| ~ l3_vectsp_1(U_7480)
| ~ v8_vectsp_1(U_7480)
| ~ v7_vectsp_1(U_7480)
| ~ v6_vectsp_1(U_7480)
| ~ v4_group_1(U_7480)
| ~ v6_rlvect_1(U_7480)
| ~ v5_rlvect_1(U_7480)
| ~ v4_rlvect_1(U_7480)
| ~ v3_rlvect_1(U_7480)
| v3_struct_0(U_7480) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK907]),skolemize(U_7479,sK907(U_7480))],[f_2958_2]) ).
fof(f_2958_4,plain,
( ! [U_7480] :
( v3_vectsp_2(sK907(U_7480),U_7480)
| ~ sP1339(U_7480) )
& ! [U_7480] :
( v6_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) )
& ! [U_7480] :
( v5_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) )
& ! [U_7480] :
( v4_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) )
& ! [U_7480] :
( v3_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) )
& ! [U_7480] :
( ~ v3_struct_0(sK907(U_7480))
| ~ sP1339(U_7480) )
& ! [U_7480] :
( l1_vectsp_2(sK907(U_7480),U_7480)
| ~ sP1339(U_7480) )
& ! [U_7480] :
( sP1339(U_7480)
| ~ l3_vectsp_1(U_7480)
| ~ v8_vectsp_1(U_7480)
| ~ v7_vectsp_1(U_7480)
| ~ v6_vectsp_1(U_7480)
| ~ v4_group_1(U_7480)
| ~ v6_rlvect_1(U_7480)
| ~ v5_rlvect_1(U_7480)
| ~ v4_rlvect_1(U_7480)
| ~ v3_rlvect_1(U_7480)
| v3_struct_0(U_7480) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1339])],[f_2958_3]) ).
cnf(f_2958_5,plain,
( sP1339(U_7480)
| ~ l3_vectsp_1(U_7480)
| ~ v8_vectsp_1(U_7480)
| ~ v7_vectsp_1(U_7480)
| ~ v6_vectsp_1(U_7480)
| ~ v4_group_1(U_7480)
| ~ v6_rlvect_1(U_7480)
| ~ v5_rlvect_1(U_7480)
| ~ v4_rlvect_1(U_7480)
| ~ v3_rlvect_1(U_7480)
| v3_struct_0(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_6,plain,
( l1_vectsp_2(sK907(U_7480),U_7480)
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_7,plain,
( ~ v3_struct_0(sK907(U_7480))
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_8,plain,
( v3_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_9,plain,
( v4_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_10,plain,
( v5_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_11,plain,
( v6_rlvect_1(sK907(U_7480))
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
cnf(f_2958_12,plain,
( v3_vectsp_2(sK907(U_7480),U_7480)
| ~ sP1339(U_7480) ),
inference(clausify,[status(thm)],[f_2958_4]) ).
fof(f_2959_1,plain,
! [A,B] :
( ? [C] :
( v4_vectsp_2(C,A,B)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l2_vectsp_2(C,A,B) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc14_vectsp_2]) ).
fof(f_2959_2,plain,
! [U_7483,U_7482] :
( ? [U_7481] :
( v4_vectsp_2(U_7481,U_7483,U_7482)
& v6_rlvect_1(U_7481)
& v5_rlvect_1(U_7481)
& v4_rlvect_1(U_7481)
& v3_rlvect_1(U_7481)
& ~ v3_struct_0(U_7481)
& l2_vectsp_2(U_7481,U_7483,U_7482) )
| ~ l3_vectsp_1(U_7482)
| ~ v8_vectsp_1(U_7482)
| ~ v7_vectsp_1(U_7482)
| ~ v6_vectsp_1(U_7482)
| ~ v4_group_1(U_7482)
| ~ v6_rlvect_1(U_7482)
| ~ v5_rlvect_1(U_7482)
| ~ v4_rlvect_1(U_7482)
| ~ v3_rlvect_1(U_7482)
| v3_struct_0(U_7482)
| ~ l3_vectsp_1(U_7483)
| ~ v8_vectsp_1(U_7483)
| ~ v7_vectsp_1(U_7483)
| ~ v6_vectsp_1(U_7483)
| ~ v4_group_1(U_7483)
| ~ v6_rlvect_1(U_7483)
| ~ v5_rlvect_1(U_7483)
| ~ v4_rlvect_1(U_7483)
| ~ v3_rlvect_1(U_7483)
| v3_struct_0(U_7483) ),
inference(variable_rename,[status(thm)],[f_2959_1]) ).
fof(f_2959_3,plain,
! [U_7483,U_7482] :
( ( v4_vectsp_2(sK908(U_7483,U_7482),U_7483,U_7482)
& v6_rlvect_1(sK908(U_7483,U_7482))
& v5_rlvect_1(sK908(U_7483,U_7482))
& v4_rlvect_1(sK908(U_7483,U_7482))
& v3_rlvect_1(sK908(U_7483,U_7482))
& ~ v3_struct_0(sK908(U_7483,U_7482))
& l2_vectsp_2(sK908(U_7483,U_7482),U_7483,U_7482) )
| ~ l3_vectsp_1(U_7482)
| ~ v8_vectsp_1(U_7482)
| ~ v7_vectsp_1(U_7482)
| ~ v6_vectsp_1(U_7482)
| ~ v4_group_1(U_7482)
| ~ v6_rlvect_1(U_7482)
| ~ v5_rlvect_1(U_7482)
| ~ v4_rlvect_1(U_7482)
| ~ v3_rlvect_1(U_7482)
| v3_struct_0(U_7482)
| ~ l3_vectsp_1(U_7483)
| ~ v8_vectsp_1(U_7483)
| ~ v7_vectsp_1(U_7483)
| ~ v6_vectsp_1(U_7483)
| ~ v4_group_1(U_7483)
| ~ v6_rlvect_1(U_7483)
| ~ v5_rlvect_1(U_7483)
| ~ v4_rlvect_1(U_7483)
| ~ v3_rlvect_1(U_7483)
| v3_struct_0(U_7483) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK908]),skolemize(U_7481,sK908(U_7483,U_7482))],[f_2959_2]) ).
fof(f_2959_4,plain,
( ! [U_7482,U_7483] :
( v4_vectsp_2(sK908(U_7483,U_7482),U_7483,U_7482)
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( v6_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( v5_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( v4_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( v3_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( ~ v3_struct_0(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( l2_vectsp_2(sK908(U_7483,U_7482),U_7483,U_7482)
| ~ sP1340(U_7482,U_7483) )
& ! [U_7482,U_7483] :
( sP1340(U_7482,U_7483)
| ~ l3_vectsp_1(U_7482)
| ~ v8_vectsp_1(U_7482)
| ~ v7_vectsp_1(U_7482)
| ~ v6_vectsp_1(U_7482)
| ~ v4_group_1(U_7482)
| ~ v6_rlvect_1(U_7482)
| ~ v5_rlvect_1(U_7482)
| ~ v4_rlvect_1(U_7482)
| ~ v3_rlvect_1(U_7482)
| v3_struct_0(U_7482)
| ~ l3_vectsp_1(U_7483)
| ~ v8_vectsp_1(U_7483)
| ~ v7_vectsp_1(U_7483)
| ~ v6_vectsp_1(U_7483)
| ~ v4_group_1(U_7483)
| ~ v6_rlvect_1(U_7483)
| ~ v5_rlvect_1(U_7483)
| ~ v4_rlvect_1(U_7483)
| ~ v3_rlvect_1(U_7483)
| v3_struct_0(U_7483) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1340])],[f_2959_3]) ).
cnf(f_2959_5,plain,
( sP1340(U_7482,U_7483)
| ~ l3_vectsp_1(U_7482)
| ~ v8_vectsp_1(U_7482)
| ~ v7_vectsp_1(U_7482)
| ~ v6_vectsp_1(U_7482)
| ~ v4_group_1(U_7482)
| ~ v6_rlvect_1(U_7482)
| ~ v5_rlvect_1(U_7482)
| ~ v4_rlvect_1(U_7482)
| ~ v3_rlvect_1(U_7482)
| v3_struct_0(U_7482)
| ~ l3_vectsp_1(U_7483)
| ~ v8_vectsp_1(U_7483)
| ~ v7_vectsp_1(U_7483)
| ~ v6_vectsp_1(U_7483)
| ~ v4_group_1(U_7483)
| ~ v6_rlvect_1(U_7483)
| ~ v5_rlvect_1(U_7483)
| ~ v4_rlvect_1(U_7483)
| ~ v3_rlvect_1(U_7483)
| v3_struct_0(U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_6,plain,
( l2_vectsp_2(sK908(U_7483,U_7482),U_7483,U_7482)
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_7,plain,
( ~ v3_struct_0(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_8,plain,
( v3_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_9,plain,
( v4_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_10,plain,
( v5_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_11,plain,
( v6_rlvect_1(sK908(U_7483,U_7482))
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
cnf(f_2959_12,plain,
( v4_vectsp_2(sK908(U_7483,U_7482),U_7483,U_7482)
| ~ sP1340(U_7482,U_7483) ),
inference(clausify,[status(thm)],[f_2959_4]) ).
fof(f_2960_1,plain,
! [A] :
( ? [B] :
( v12_vectsp_1(B,A)
& v11_vectsp_1(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l4_vectsp_1(B,A) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc15_vectsp_2]) ).
fof(f_2960_2,plain,
! [U_7485] :
( ? [U_7484] :
( v12_vectsp_1(U_7484,U_7485)
& v11_vectsp_1(U_7484,U_7485)
& v6_rlvect_1(U_7484)
& v5_rlvect_1(U_7484)
& v4_rlvect_1(U_7484)
& v3_rlvect_1(U_7484)
& ~ v3_struct_0(U_7484)
& l4_vectsp_1(U_7484,U_7485) )
| ~ l3_vectsp_1(U_7485)
| ~ v8_vectsp_1(U_7485)
| ~ v7_vectsp_1(U_7485)
| ~ v6_vectsp_1(U_7485)
| ~ v4_group_1(U_7485)
| ~ v6_rlvect_1(U_7485)
| ~ v5_rlvect_1(U_7485)
| ~ v4_rlvect_1(U_7485)
| ~ v3_rlvect_1(U_7485)
| v3_struct_0(U_7485) ),
inference(variable_rename,[status(thm)],[f_2960_1]) ).
fof(f_2960_3,plain,
! [U_7485] :
( ( v12_vectsp_1(sK909(U_7485),U_7485)
& v11_vectsp_1(sK909(U_7485),U_7485)
& v6_rlvect_1(sK909(U_7485))
& v5_rlvect_1(sK909(U_7485))
& v4_rlvect_1(sK909(U_7485))
& v3_rlvect_1(sK909(U_7485))
& ~ v3_struct_0(sK909(U_7485))
& l4_vectsp_1(sK909(U_7485),U_7485) )
| ~ l3_vectsp_1(U_7485)
| ~ v8_vectsp_1(U_7485)
| ~ v7_vectsp_1(U_7485)
| ~ v6_vectsp_1(U_7485)
| ~ v4_group_1(U_7485)
| ~ v6_rlvect_1(U_7485)
| ~ v5_rlvect_1(U_7485)
| ~ v4_rlvect_1(U_7485)
| ~ v3_rlvect_1(U_7485)
| v3_struct_0(U_7485) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK909]),skolemize(U_7484,sK909(U_7485))],[f_2960_2]) ).
fof(f_2960_4,plain,
( ! [U_7485] :
( v12_vectsp_1(sK909(U_7485),U_7485)
| ~ sP1341(U_7485) )
& ! [U_7485] :
( v11_vectsp_1(sK909(U_7485),U_7485)
| ~ sP1341(U_7485) )
& ! [U_7485] :
( v6_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) )
& ! [U_7485] :
( v5_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) )
& ! [U_7485] :
( v4_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) )
& ! [U_7485] :
( v3_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) )
& ! [U_7485] :
( ~ v3_struct_0(sK909(U_7485))
| ~ sP1341(U_7485) )
& ! [U_7485] :
( l4_vectsp_1(sK909(U_7485),U_7485)
| ~ sP1341(U_7485) )
& ! [U_7485] :
( sP1341(U_7485)
| ~ l3_vectsp_1(U_7485)
| ~ v8_vectsp_1(U_7485)
| ~ v7_vectsp_1(U_7485)
| ~ v6_vectsp_1(U_7485)
| ~ v4_group_1(U_7485)
| ~ v6_rlvect_1(U_7485)
| ~ v5_rlvect_1(U_7485)
| ~ v4_rlvect_1(U_7485)
| ~ v3_rlvect_1(U_7485)
| v3_struct_0(U_7485) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1341])],[f_2960_3]) ).
cnf(f_2960_5,plain,
( sP1341(U_7485)
| ~ l3_vectsp_1(U_7485)
| ~ v8_vectsp_1(U_7485)
| ~ v7_vectsp_1(U_7485)
| ~ v6_vectsp_1(U_7485)
| ~ v4_group_1(U_7485)
| ~ v6_rlvect_1(U_7485)
| ~ v5_rlvect_1(U_7485)
| ~ v4_rlvect_1(U_7485)
| ~ v3_rlvect_1(U_7485)
| v3_struct_0(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_6,plain,
( l4_vectsp_1(sK909(U_7485),U_7485)
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_7,plain,
( ~ v3_struct_0(sK909(U_7485))
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_8,plain,
( v3_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_9,plain,
( v4_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_10,plain,
( v5_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_11,plain,
( v6_rlvect_1(sK909(U_7485))
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_12,plain,
( v11_vectsp_1(sK909(U_7485),U_7485)
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
cnf(f_2960_13,plain,
( v12_vectsp_1(sK909(U_7485),U_7485)
| ~ sP1341(U_7485) ),
inference(clausify,[status(thm)],[f_2960_4]) ).
fof(f_2961_1,plain,
! [A] :
( ( v12_vectsp_1(k4_vectsp_2(A),A)
& v11_vectsp_1(k4_vectsp_2(A),A)
& v6_rlvect_1(k4_vectsp_2(A))
& v5_rlvect_1(k4_vectsp_2(A))
& v4_rlvect_1(k4_vectsp_2(A))
& v3_rlvect_1(k4_vectsp_2(A))
& ~ v3_struct_0(k4_vectsp_2(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_vectsp_2]) ).
fof(f_2961_2,plain,
! [U_7486] :
( ( v12_vectsp_1(k4_vectsp_2(U_7486),U_7486)
& v11_vectsp_1(k4_vectsp_2(U_7486),U_7486)
& v6_rlvect_1(k4_vectsp_2(U_7486))
& v5_rlvect_1(k4_vectsp_2(U_7486))
& v4_rlvect_1(k4_vectsp_2(U_7486))
& v3_rlvect_1(k4_vectsp_2(U_7486))
& ~ v3_struct_0(k4_vectsp_2(U_7486)) )
| ~ l3_vectsp_1(U_7486)
| ~ v8_vectsp_1(U_7486)
| ~ v7_vectsp_1(U_7486)
| ~ v6_vectsp_1(U_7486)
| ~ v4_group_1(U_7486)
| ~ v6_rlvect_1(U_7486)
| ~ v5_rlvect_1(U_7486)
| ~ v4_rlvect_1(U_7486)
| ~ v3_rlvect_1(U_7486)
| v3_struct_0(U_7486) ),
inference(variable_rename,[status(thm)],[f_2961_1]) ).
fof(f_2961_3,plain,
( ! [U_7486] :
( v12_vectsp_1(k4_vectsp_2(U_7486),U_7486)
| ~ sP1342(U_7486) )
& ! [U_7486] :
( v11_vectsp_1(k4_vectsp_2(U_7486),U_7486)
| ~ sP1342(U_7486) )
& ! [U_7486] :
( v6_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) )
& ! [U_7486] :
( v5_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) )
& ! [U_7486] :
( v4_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) )
& ! [U_7486] :
( v3_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) )
& ! [U_7486] :
( ~ v3_struct_0(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) )
& ! [U_7486] :
( sP1342(U_7486)
| ~ l3_vectsp_1(U_7486)
| ~ v8_vectsp_1(U_7486)
| ~ v7_vectsp_1(U_7486)
| ~ v6_vectsp_1(U_7486)
| ~ v4_group_1(U_7486)
| ~ v6_rlvect_1(U_7486)
| ~ v5_rlvect_1(U_7486)
| ~ v4_rlvect_1(U_7486)
| ~ v3_rlvect_1(U_7486)
| v3_struct_0(U_7486) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1342])],[f_2961_2]) ).
cnf(f_2961_4,plain,
( sP1342(U_7486)
| ~ l3_vectsp_1(U_7486)
| ~ v8_vectsp_1(U_7486)
| ~ v7_vectsp_1(U_7486)
| ~ v6_vectsp_1(U_7486)
| ~ v4_group_1(U_7486)
| ~ v6_rlvect_1(U_7486)
| ~ v5_rlvect_1(U_7486)
| ~ v4_rlvect_1(U_7486)
| ~ v3_rlvect_1(U_7486)
| v3_struct_0(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_5,plain,
( ~ v3_struct_0(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_6,plain,
( v3_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_7,plain,
( v4_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_8,plain,
( v5_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_9,plain,
( v6_rlvect_1(k4_vectsp_2(U_7486))
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_10,plain,
( v11_vectsp_1(k4_vectsp_2(U_7486),U_7486)
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
cnf(f_2961_11,plain,
( v12_vectsp_1(k4_vectsp_2(U_7486),U_7486)
| ~ sP1342(U_7486) ),
inference(clausify,[status(thm)],[f_2961_3]) ).
fof(f_2962_1,plain,
! [A] :
( ? [B] :
( v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l1_vectsp_2(B,A) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc16_vectsp_2]) ).
fof(f_2962_2,plain,
! [U_7488] :
( ? [U_7487] :
( v5_vectsp_2(U_7487,U_7488)
& v3_vectsp_2(U_7487,U_7488)
& v6_rlvect_1(U_7487)
& v5_rlvect_1(U_7487)
& v4_rlvect_1(U_7487)
& v3_rlvect_1(U_7487)
& ~ v3_struct_0(U_7487)
& l1_vectsp_2(U_7487,U_7488) )
| ~ l3_vectsp_1(U_7488)
| ~ v8_vectsp_1(U_7488)
| ~ v7_vectsp_1(U_7488)
| ~ v6_vectsp_1(U_7488)
| ~ v4_group_1(U_7488)
| ~ v6_rlvect_1(U_7488)
| ~ v5_rlvect_1(U_7488)
| ~ v4_rlvect_1(U_7488)
| ~ v3_rlvect_1(U_7488)
| v3_struct_0(U_7488) ),
inference(variable_rename,[status(thm)],[f_2962_1]) ).
fof(f_2962_3,plain,
! [U_7488] :
( ( v5_vectsp_2(sK910(U_7488),U_7488)
& v3_vectsp_2(sK910(U_7488),U_7488)
& v6_rlvect_1(sK910(U_7488))
& v5_rlvect_1(sK910(U_7488))
& v4_rlvect_1(sK910(U_7488))
& v3_rlvect_1(sK910(U_7488))
& ~ v3_struct_0(sK910(U_7488))
& l1_vectsp_2(sK910(U_7488),U_7488) )
| ~ l3_vectsp_1(U_7488)
| ~ v8_vectsp_1(U_7488)
| ~ v7_vectsp_1(U_7488)
| ~ v6_vectsp_1(U_7488)
| ~ v4_group_1(U_7488)
| ~ v6_rlvect_1(U_7488)
| ~ v5_rlvect_1(U_7488)
| ~ v4_rlvect_1(U_7488)
| ~ v3_rlvect_1(U_7488)
| v3_struct_0(U_7488) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK910]),skolemize(U_7487,sK910(U_7488))],[f_2962_2]) ).
fof(f_2962_4,plain,
( ! [U_7488] :
( v5_vectsp_2(sK910(U_7488),U_7488)
| ~ sP1343(U_7488) )
& ! [U_7488] :
( v3_vectsp_2(sK910(U_7488),U_7488)
| ~ sP1343(U_7488) )
& ! [U_7488] :
( v6_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) )
& ! [U_7488] :
( v5_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) )
& ! [U_7488] :
( v4_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) )
& ! [U_7488] :
( v3_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) )
& ! [U_7488] :
( ~ v3_struct_0(sK910(U_7488))
| ~ sP1343(U_7488) )
& ! [U_7488] :
( l1_vectsp_2(sK910(U_7488),U_7488)
| ~ sP1343(U_7488) )
& ! [U_7488] :
( sP1343(U_7488)
| ~ l3_vectsp_1(U_7488)
| ~ v8_vectsp_1(U_7488)
| ~ v7_vectsp_1(U_7488)
| ~ v6_vectsp_1(U_7488)
| ~ v4_group_1(U_7488)
| ~ v6_rlvect_1(U_7488)
| ~ v5_rlvect_1(U_7488)
| ~ v4_rlvect_1(U_7488)
| ~ v3_rlvect_1(U_7488)
| v3_struct_0(U_7488) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1343])],[f_2962_3]) ).
cnf(f_2962_5,plain,
( sP1343(U_7488)
| ~ l3_vectsp_1(U_7488)
| ~ v8_vectsp_1(U_7488)
| ~ v7_vectsp_1(U_7488)
| ~ v6_vectsp_1(U_7488)
| ~ v4_group_1(U_7488)
| ~ v6_rlvect_1(U_7488)
| ~ v5_rlvect_1(U_7488)
| ~ v4_rlvect_1(U_7488)
| ~ v3_rlvect_1(U_7488)
| v3_struct_0(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_6,plain,
( l1_vectsp_2(sK910(U_7488),U_7488)
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_7,plain,
( ~ v3_struct_0(sK910(U_7488))
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_8,plain,
( v3_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_9,plain,
( v4_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_10,plain,
( v5_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_11,plain,
( v6_rlvect_1(sK910(U_7488))
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_12,plain,
( v3_vectsp_2(sK910(U_7488),U_7488)
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
cnf(f_2962_13,plain,
( v5_vectsp_2(sK910(U_7488),U_7488)
| ~ sP1343(U_7488) ),
inference(clausify,[status(thm)],[f_2962_4]) ).
fof(f_2963_1,plain,
! [A] :
( ( v5_vectsp_2(k5_vectsp_2(A),A)
& v3_vectsp_2(k5_vectsp_2(A),A)
& v6_rlvect_1(k5_vectsp_2(A))
& v5_rlvect_1(k5_vectsp_2(A))
& v4_rlvect_1(k5_vectsp_2(A))
& v3_rlvect_1(k5_vectsp_2(A))
& ~ v3_struct_0(k5_vectsp_2(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_vectsp_2]) ).
fof(f_2963_2,plain,
! [U_7489] :
( ( v5_vectsp_2(k5_vectsp_2(U_7489),U_7489)
& v3_vectsp_2(k5_vectsp_2(U_7489),U_7489)
& v6_rlvect_1(k5_vectsp_2(U_7489))
& v5_rlvect_1(k5_vectsp_2(U_7489))
& v4_rlvect_1(k5_vectsp_2(U_7489))
& v3_rlvect_1(k5_vectsp_2(U_7489))
& ~ v3_struct_0(k5_vectsp_2(U_7489)) )
| ~ l3_vectsp_1(U_7489)
| ~ v8_vectsp_1(U_7489)
| ~ v7_vectsp_1(U_7489)
| ~ v6_vectsp_1(U_7489)
| ~ v4_group_1(U_7489)
| ~ v6_rlvect_1(U_7489)
| ~ v5_rlvect_1(U_7489)
| ~ v4_rlvect_1(U_7489)
| ~ v3_rlvect_1(U_7489)
| v3_struct_0(U_7489) ),
inference(variable_rename,[status(thm)],[f_2963_1]) ).
fof(f_2963_3,plain,
( ! [U_7489] :
( v5_vectsp_2(k5_vectsp_2(U_7489),U_7489)
| ~ sP1344(U_7489) )
& ! [U_7489] :
( v3_vectsp_2(k5_vectsp_2(U_7489),U_7489)
| ~ sP1344(U_7489) )
& ! [U_7489] :
( v6_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) )
& ! [U_7489] :
( v5_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) )
& ! [U_7489] :
( v4_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) )
& ! [U_7489] :
( v3_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) )
& ! [U_7489] :
( ~ v3_struct_0(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) )
& ! [U_7489] :
( sP1344(U_7489)
| ~ l3_vectsp_1(U_7489)
| ~ v8_vectsp_1(U_7489)
| ~ v7_vectsp_1(U_7489)
| ~ v6_vectsp_1(U_7489)
| ~ v4_group_1(U_7489)
| ~ v6_rlvect_1(U_7489)
| ~ v5_rlvect_1(U_7489)
| ~ v4_rlvect_1(U_7489)
| ~ v3_rlvect_1(U_7489)
| v3_struct_0(U_7489) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1344])],[f_2963_2]) ).
cnf(f_2963_4,plain,
( sP1344(U_7489)
| ~ l3_vectsp_1(U_7489)
| ~ v8_vectsp_1(U_7489)
| ~ v7_vectsp_1(U_7489)
| ~ v6_vectsp_1(U_7489)
| ~ v4_group_1(U_7489)
| ~ v6_rlvect_1(U_7489)
| ~ v5_rlvect_1(U_7489)
| ~ v4_rlvect_1(U_7489)
| ~ v3_rlvect_1(U_7489)
| v3_struct_0(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_5,plain,
( ~ v3_struct_0(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_6,plain,
( v3_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_7,plain,
( v4_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_8,plain,
( v5_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_9,plain,
( v6_rlvect_1(k5_vectsp_2(U_7489))
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_10,plain,
( v3_vectsp_2(k5_vectsp_2(U_7489),U_7489)
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
cnf(f_2963_11,plain,
( v5_vectsp_2(k5_vectsp_2(U_7489),U_7489)
| ~ sP1344(U_7489) ),
inference(clausify,[status(thm)],[f_2963_3]) ).
fof(f_2964_1,plain,
! [A,B] :
( ? [C] :
( v6_vectsp_2(C,A,B)
& v5_vectsp_2(C,B)
& v4_vectsp_2(C,A,B)
& v12_vectsp_1(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& l2_vectsp_2(C,A,B) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc17_vectsp_2]) ).
fof(f_2964_2,plain,
! [U_7492,U_7491] :
( ? [U_7490] :
( v6_vectsp_2(U_7490,U_7492,U_7491)
& v5_vectsp_2(U_7490,U_7491)
& v4_vectsp_2(U_7490,U_7492,U_7491)
& v12_vectsp_1(U_7490,U_7492)
& v6_rlvect_1(U_7490)
& v5_rlvect_1(U_7490)
& v4_rlvect_1(U_7490)
& v3_rlvect_1(U_7490)
& ~ v3_struct_0(U_7490)
& l2_vectsp_2(U_7490,U_7492,U_7491) )
| ~ l3_vectsp_1(U_7491)
| ~ v8_vectsp_1(U_7491)
| ~ v7_vectsp_1(U_7491)
| ~ v6_vectsp_1(U_7491)
| ~ v4_group_1(U_7491)
| ~ v6_rlvect_1(U_7491)
| ~ v5_rlvect_1(U_7491)
| ~ v4_rlvect_1(U_7491)
| ~ v3_rlvect_1(U_7491)
| v3_struct_0(U_7491)
| ~ l3_vectsp_1(U_7492)
| ~ v8_vectsp_1(U_7492)
| ~ v7_vectsp_1(U_7492)
| ~ v6_vectsp_1(U_7492)
| ~ v4_group_1(U_7492)
| ~ v6_rlvect_1(U_7492)
| ~ v5_rlvect_1(U_7492)
| ~ v4_rlvect_1(U_7492)
| ~ v3_rlvect_1(U_7492)
| v3_struct_0(U_7492) ),
inference(variable_rename,[status(thm)],[f_2964_1]) ).
fof(f_2964_3,plain,
! [U_7492,U_7491] :
( ( v6_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
& v5_vectsp_2(sK911(U_7492,U_7491),U_7491)
& v4_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
& v12_vectsp_1(sK911(U_7492,U_7491),U_7492)
& v6_rlvect_1(sK911(U_7492,U_7491))
& v5_rlvect_1(sK911(U_7492,U_7491))
& v4_rlvect_1(sK911(U_7492,U_7491))
& v3_rlvect_1(sK911(U_7492,U_7491))
& ~ v3_struct_0(sK911(U_7492,U_7491))
& l2_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491) )
| ~ l3_vectsp_1(U_7491)
| ~ v8_vectsp_1(U_7491)
| ~ v7_vectsp_1(U_7491)
| ~ v6_vectsp_1(U_7491)
| ~ v4_group_1(U_7491)
| ~ v6_rlvect_1(U_7491)
| ~ v5_rlvect_1(U_7491)
| ~ v4_rlvect_1(U_7491)
| ~ v3_rlvect_1(U_7491)
| v3_struct_0(U_7491)
| ~ l3_vectsp_1(U_7492)
| ~ v8_vectsp_1(U_7492)
| ~ v7_vectsp_1(U_7492)
| ~ v6_vectsp_1(U_7492)
| ~ v4_group_1(U_7492)
| ~ v6_rlvect_1(U_7492)
| ~ v5_rlvect_1(U_7492)
| ~ v4_rlvect_1(U_7492)
| ~ v3_rlvect_1(U_7492)
| v3_struct_0(U_7492) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK911]),skolemize(U_7490,sK911(U_7492,U_7491))],[f_2964_2]) ).
fof(f_2964_4,plain,
( ! [U_7491,U_7492] :
( v6_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v5_vectsp_2(sK911(U_7492,U_7491),U_7491)
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v4_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v12_vectsp_1(sK911(U_7492,U_7491),U_7492)
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v6_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v5_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v4_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( v3_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( ~ v3_struct_0(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( l2_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
| ~ sP1345(U_7491,U_7492) )
& ! [U_7491,U_7492] :
( sP1345(U_7491,U_7492)
| ~ l3_vectsp_1(U_7491)
| ~ v8_vectsp_1(U_7491)
| ~ v7_vectsp_1(U_7491)
| ~ v6_vectsp_1(U_7491)
| ~ v4_group_1(U_7491)
| ~ v6_rlvect_1(U_7491)
| ~ v5_rlvect_1(U_7491)
| ~ v4_rlvect_1(U_7491)
| ~ v3_rlvect_1(U_7491)
| v3_struct_0(U_7491)
| ~ l3_vectsp_1(U_7492)
| ~ v8_vectsp_1(U_7492)
| ~ v7_vectsp_1(U_7492)
| ~ v6_vectsp_1(U_7492)
| ~ v4_group_1(U_7492)
| ~ v6_rlvect_1(U_7492)
| ~ v5_rlvect_1(U_7492)
| ~ v4_rlvect_1(U_7492)
| ~ v3_rlvect_1(U_7492)
| v3_struct_0(U_7492) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1345])],[f_2964_3]) ).
cnf(f_2964_5,plain,
( sP1345(U_7491,U_7492)
| ~ l3_vectsp_1(U_7491)
| ~ v8_vectsp_1(U_7491)
| ~ v7_vectsp_1(U_7491)
| ~ v6_vectsp_1(U_7491)
| ~ v4_group_1(U_7491)
| ~ v6_rlvect_1(U_7491)
| ~ v5_rlvect_1(U_7491)
| ~ v4_rlvect_1(U_7491)
| ~ v3_rlvect_1(U_7491)
| v3_struct_0(U_7491)
| ~ l3_vectsp_1(U_7492)
| ~ v8_vectsp_1(U_7492)
| ~ v7_vectsp_1(U_7492)
| ~ v6_vectsp_1(U_7492)
| ~ v4_group_1(U_7492)
| ~ v6_rlvect_1(U_7492)
| ~ v5_rlvect_1(U_7492)
| ~ v4_rlvect_1(U_7492)
| ~ v3_rlvect_1(U_7492)
| v3_struct_0(U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_6,plain,
( l2_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_7,plain,
( ~ v3_struct_0(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_8,plain,
( v3_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_9,plain,
( v4_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_10,plain,
( v5_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_11,plain,
( v6_rlvect_1(sK911(U_7492,U_7491))
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_12,plain,
( v12_vectsp_1(sK911(U_7492,U_7491),U_7492)
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_13,plain,
( v4_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_14,plain,
( v5_vectsp_2(sK911(U_7492,U_7491),U_7491)
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
cnf(f_2964_15,plain,
( v6_vectsp_2(sK911(U_7492,U_7491),U_7492,U_7491)
| ~ sP1345(U_7491,U_7492) ),
inference(clausify,[status(thm)],[f_2964_4]) ).
fof(f_2965_1,plain,
! [A,B] :
( ( v6_vectsp_2(k9_vectsp_2(A,B),A,B)
& v5_vectsp_2(k9_vectsp_2(A,B),B)
& v4_vectsp_2(k9_vectsp_2(A,B),A,B)
& v12_vectsp_1(k9_vectsp_2(A,B),A)
& v6_rlvect_1(k9_vectsp_2(A,B))
& v5_rlvect_1(k9_vectsp_2(A,B))
& v4_rlvect_1(k9_vectsp_2(A,B))
& v3_rlvect_1(k9_vectsp_2(A,B))
& ~ v3_struct_0(k9_vectsp_2(A,B)) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_vectsp_2]) ).
fof(f_2965_2,plain,
! [U_7494,U_7493] :
( ( v6_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7494,U_7493)
& v5_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7493)
& v4_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7494,U_7493)
& v12_vectsp_1(k9_vectsp_2(U_7494,U_7493),U_7494)
& v6_rlvect_1(k9_vectsp_2(U_7494,U_7493))
& v5_rlvect_1(k9_vectsp_2(U_7494,U_7493))
& v4_rlvect_1(k9_vectsp_2(U_7494,U_7493))
& v3_rlvect_1(k9_vectsp_2(U_7494,U_7493))
& ~ v3_struct_0(k9_vectsp_2(U_7494,U_7493)) )
| ~ l3_vectsp_1(U_7493)
| ~ v8_vectsp_1(U_7493)
| ~ v7_vectsp_1(U_7493)
| ~ v6_vectsp_1(U_7493)
| ~ v4_group_1(U_7493)
| ~ v6_rlvect_1(U_7493)
| ~ v5_rlvect_1(U_7493)
| ~ v4_rlvect_1(U_7493)
| ~ v3_rlvect_1(U_7493)
| v3_struct_0(U_7493)
| ~ l3_vectsp_1(U_7494)
| ~ v8_vectsp_1(U_7494)
| ~ v7_vectsp_1(U_7494)
| ~ v6_vectsp_1(U_7494)
| ~ v4_group_1(U_7494)
| ~ v6_rlvect_1(U_7494)
| ~ v5_rlvect_1(U_7494)
| ~ v4_rlvect_1(U_7494)
| ~ v3_rlvect_1(U_7494)
| v3_struct_0(U_7494) ),
inference(variable_rename,[status(thm)],[f_2965_1]) ).
fof(f_2965_3,plain,
( ! [U_7494,U_7493] :
( v6_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7494,U_7493)
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v5_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7493)
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v4_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7494,U_7493)
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v12_vectsp_1(k9_vectsp_2(U_7494,U_7493),U_7494)
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v6_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v5_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v4_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( v3_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( ~ v3_struct_0(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) )
& ! [U_7494,U_7493] :
( sP1346(U_7494,U_7493)
| ~ l3_vectsp_1(U_7493)
| ~ v8_vectsp_1(U_7493)
| ~ v7_vectsp_1(U_7493)
| ~ v6_vectsp_1(U_7493)
| ~ v4_group_1(U_7493)
| ~ v6_rlvect_1(U_7493)
| ~ v5_rlvect_1(U_7493)
| ~ v4_rlvect_1(U_7493)
| ~ v3_rlvect_1(U_7493)
| v3_struct_0(U_7493)
| ~ l3_vectsp_1(U_7494)
| ~ v8_vectsp_1(U_7494)
| ~ v7_vectsp_1(U_7494)
| ~ v6_vectsp_1(U_7494)
| ~ v4_group_1(U_7494)
| ~ v6_rlvect_1(U_7494)
| ~ v5_rlvect_1(U_7494)
| ~ v4_rlvect_1(U_7494)
| ~ v3_rlvect_1(U_7494)
| v3_struct_0(U_7494) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1346])],[f_2965_2]) ).
cnf(f_2965_4,plain,
( sP1346(U_7494,U_7493)
| ~ l3_vectsp_1(U_7493)
| ~ v8_vectsp_1(U_7493)
| ~ v7_vectsp_1(U_7493)
| ~ v6_vectsp_1(U_7493)
| ~ v4_group_1(U_7493)
| ~ v6_rlvect_1(U_7493)
| ~ v5_rlvect_1(U_7493)
| ~ v4_rlvect_1(U_7493)
| ~ v3_rlvect_1(U_7493)
| v3_struct_0(U_7493)
| ~ l3_vectsp_1(U_7494)
| ~ v8_vectsp_1(U_7494)
| ~ v7_vectsp_1(U_7494)
| ~ v6_vectsp_1(U_7494)
| ~ v4_group_1(U_7494)
| ~ v6_rlvect_1(U_7494)
| ~ v5_rlvect_1(U_7494)
| ~ v4_rlvect_1(U_7494)
| ~ v3_rlvect_1(U_7494)
| v3_struct_0(U_7494) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_5,plain,
( ~ v3_struct_0(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_6,plain,
( v3_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_7,plain,
( v4_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_8,plain,
( v5_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_9,plain,
( v6_rlvect_1(k9_vectsp_2(U_7494,U_7493))
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_10,plain,
( v12_vectsp_1(k9_vectsp_2(U_7494,U_7493),U_7494)
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_11,plain,
( v4_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7494,U_7493)
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_12,plain,
( v5_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7493)
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
cnf(f_2965_13,plain,
( v6_vectsp_2(k9_vectsp_2(U_7494,U_7493),U_7494,U_7493)
| ~ sP1346(U_7494,U_7493) ),
inference(clausify,[status(thm)],[f_2965_3]) ).
fof(f_2966_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d1_vectsp_2]) ).
fof(f_2966_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2966_1]) ).
cnf(f_2966_3,plain,
$true,
inference(clausify,[status(thm)],[f_2966_2]) ).
fof(f_2967_1,plain,
! [A] :
( ( ( v1_vectsp_2(A)
| ? [B] :
( ( k1_group_1(A,k2_vectsp_1(A),B) != B
| k1_group_1(A,B,k2_vectsp_1(A)) != B )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ( k1_group_1(A,k2_vectsp_1(A),B) = B
& k1_group_1(A,B,k2_vectsp_1(A)) = B )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v1_vectsp_2(A) ) )
| ~ l1_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_vectsp_2]) ).
fof(f_2967_2,plain,
! [U_7497] :
( ( ( v1_vectsp_2(U_7497)
| ? [U_7496] :
( ( k1_group_1(U_7497,k2_vectsp_1(U_7497),U_7496) != U_7496
| k1_group_1(U_7497,U_7496,k2_vectsp_1(U_7497)) != U_7496 )
& m1_subset_1(U_7496,u1_struct_0(U_7497)) ) )
& ( ! [U_7495] :
( ( k1_group_1(U_7497,k2_vectsp_1(U_7497),U_7495) = U_7495
& k1_group_1(U_7497,U_7495,k2_vectsp_1(U_7497)) = U_7495 )
| ~ m1_subset_1(U_7495,u1_struct_0(U_7497)) )
| ~ v1_vectsp_2(U_7497) ) )
| ~ l1_vectsp_1(U_7497)
| v3_struct_0(U_7497) ),
inference(variable_rename,[status(thm)],[f_2967_1]) ).
fof(f_2967_3,plain,
! [U_7497] :
( ( ( v1_vectsp_2(U_7497)
| ( ( k1_group_1(U_7497,k2_vectsp_1(U_7497),sK912(U_7497)) != sK912(U_7497)
| k1_group_1(U_7497,sK912(U_7497),k2_vectsp_1(U_7497)) != sK912(U_7497) )
& m1_subset_1(sK912(U_7497),u1_struct_0(U_7497)) ) )
& ( ! [U_7495] :
( ( k1_group_1(U_7497,k2_vectsp_1(U_7497),U_7495) = U_7495
& k1_group_1(U_7497,U_7495,k2_vectsp_1(U_7497)) = U_7495 )
| ~ m1_subset_1(U_7495,u1_struct_0(U_7497)) )
| ~ v1_vectsp_2(U_7497) ) )
| ~ l1_vectsp_1(U_7497)
| v3_struct_0(U_7497) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK912]),skolemize(U_7496,sK912(U_7497))],[f_2967_2]) ).
fof(f_2967_4,plain,
( ! [U_7497] :
( k1_group_1(U_7497,k2_vectsp_1(U_7497),sK912(U_7497)) != sK912(U_7497)
| k1_group_1(U_7497,sK912(U_7497),k2_vectsp_1(U_7497)) != sK912(U_7497)
| ~ sP1348(U_7497) )
& ! [U_7497] :
( m1_subset_1(sK912(U_7497),u1_struct_0(U_7497))
| ~ sP1348(U_7497) )
& ! [U_7497,U_7495] :
( k1_group_1(U_7497,k2_vectsp_1(U_7497),U_7495) = U_7495
| ~ sP1347(U_7497,U_7495) )
& ! [U_7497,U_7495] :
( k1_group_1(U_7497,U_7495,k2_vectsp_1(U_7497)) = U_7495
| ~ sP1347(U_7497,U_7495) )
& ! [U_7497,U_7495] :
( v1_vectsp_2(U_7497)
| sP1348(U_7497)
| ~ sP1349(U_7497,U_7495) )
& ! [U_7497,U_7495] :
( sP1347(U_7497,U_7495)
| ~ m1_subset_1(U_7495,u1_struct_0(U_7497))
| ~ v1_vectsp_2(U_7497)
| ~ sP1349(U_7497,U_7495) )
& ! [U_7497,U_7495] :
( sP1349(U_7497,U_7495)
| ~ l1_vectsp_1(U_7497)
| v3_struct_0(U_7497) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1347,sP1348,sP1349])],[f_2967_3]) ).
cnf(f_2967_5,plain,
( sP1349(U_7497,U_7495)
| ~ l1_vectsp_1(U_7497)
| v3_struct_0(U_7497) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
cnf(f_2967_6,plain,
( sP1347(U_7497,U_7495)
| ~ m1_subset_1(U_7495,u1_struct_0(U_7497))
| ~ v1_vectsp_2(U_7497)
| ~ sP1349(U_7497,U_7495) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
cnf(f_2967_7,plain,
( v1_vectsp_2(U_7497)
| sP1348(U_7497)
| ~ sP1349(U_7497,U_7495) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
cnf(f_2967_8,plain,
( k1_group_1(U_7497,U_7495,k2_vectsp_1(U_7497)) = U_7495
| ~ sP1347(U_7497,U_7495) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
cnf(f_2967_9,plain,
( k1_group_1(U_7497,k2_vectsp_1(U_7497),U_7495) = U_7495
| ~ sP1347(U_7497,U_7495) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
cnf(f_2967_10,plain,
( m1_subset_1(sK912(U_7497),u1_struct_0(U_7497))
| ~ sP1348(U_7497) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
cnf(f_2967_11,plain,
( k1_group_1(U_7497,k2_vectsp_1(U_7497),sK912(U_7497)) != sK912(U_7497)
| k1_group_1(U_7497,sK912(U_7497),k2_vectsp_1(U_7497)) != sK912(U_7497)
| ~ sP1348(U_7497) ),
inference(clausify,[status(thm)],[f_2967_4]) ).
fof(f_2968_1,plain,
! [A] :
( ( ( ! [B] :
( ! [C] :
( ! [D] :
( ( k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
& k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
& k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D))
& k1_group_1(A,k2_group_1(A),B) = B
& k1_group_1(A,B,k2_group_1(A)) = B
& k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A)
& k2_rlvect_1(A,B,k1_rlvect_1(A)) = B
& k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
& k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) )
& ( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
| ? [B] :
( ? [C] :
( ? [D] :
( ( k1_group_1(A,k2_rlvect_1(A,C,D),B) != k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))
| k1_group_1(A,B,k2_rlvect_1(A,C,D)) != k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))
| k1_group_1(A,k1_group_1(A,B,C),D) != k1_group_1(A,B,k1_group_1(A,C,D))
| k1_group_1(A,k2_group_1(A),B) != B
| k1_group_1(A,B,k2_group_1(A)) != B
| k2_rlvect_1(A,B,k5_rlvect_1(A,B)) != k1_rlvect_1(A)
| k2_rlvect_1(A,B,k1_rlvect_1(A)) != B
| k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) != k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))
| k2_rlvect_1(A,B,C) != k2_rlvect_1(A,C,B) )
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) ) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t1_vectsp_2]) ).
fof(f_2968_2,plain,
! [U_7504] :
( ( ( ! [U_7503] :
( ! [U_7502] :
( ! [U_7501] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7502,U_7501),U_7503) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7502,U_7503),k1_group_1(U_7504,U_7501,U_7503))
& k1_group_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501)) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),k1_group_1(U_7504,U_7503,U_7501))
& k1_group_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),U_7501) = k1_group_1(U_7504,U_7503,k1_group_1(U_7504,U_7502,U_7501))
& k1_group_1(U_7504,k2_group_1(U_7504),U_7503) = U_7503
& k1_group_1(U_7504,U_7503,k2_group_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,U_7503,k5_rlvect_1(U_7504,U_7503)) = k1_rlvect_1(U_7504)
& k2_rlvect_1(U_7504,U_7503,k1_rlvect_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7503,U_7502),U_7501) = k2_rlvect_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501))
& k2_rlvect_1(U_7504,U_7503,U_7502) = k2_rlvect_1(U_7504,U_7502,U_7503) )
| ~ m1_subset_1(U_7501,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7502,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7503,u1_struct_0(U_7504)) )
| ~ l3_vectsp_1(U_7504)
| ~ v8_vectsp_1(U_7504)
| ~ v7_vectsp_1(U_7504)
| ~ v6_vectsp_1(U_7504)
| ~ v4_group_1(U_7504)
| ~ v6_rlvect_1(U_7504)
| ~ v5_rlvect_1(U_7504)
| ~ v4_rlvect_1(U_7504)
| ~ v3_rlvect_1(U_7504)
| v3_struct_0(U_7504) )
& ( ( l3_vectsp_1(U_7504)
& v8_vectsp_1(U_7504)
& v7_vectsp_1(U_7504)
& v6_vectsp_1(U_7504)
& v4_group_1(U_7504)
& v6_rlvect_1(U_7504)
& v5_rlvect_1(U_7504)
& v4_rlvect_1(U_7504)
& v3_rlvect_1(U_7504)
& ~ v3_struct_0(U_7504) )
| ? [U_7500] :
( ? [U_7499] :
( ? [U_7498] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7499,U_7498),U_7500) != k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7499,U_7500),k1_group_1(U_7504,U_7498,U_7500))
| k1_group_1(U_7504,U_7500,k2_rlvect_1(U_7504,U_7499,U_7498)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7500,U_7499),k1_group_1(U_7504,U_7500,U_7498))
| k1_group_1(U_7504,k1_group_1(U_7504,U_7500,U_7499),U_7498) != k1_group_1(U_7504,U_7500,k1_group_1(U_7504,U_7499,U_7498))
| k1_group_1(U_7504,k2_group_1(U_7504),U_7500) != U_7500
| k1_group_1(U_7504,U_7500,k2_group_1(U_7504)) != U_7500
| k2_rlvect_1(U_7504,U_7500,k5_rlvect_1(U_7504,U_7500)) != k1_rlvect_1(U_7504)
| k2_rlvect_1(U_7504,U_7500,k1_rlvect_1(U_7504)) != U_7500
| k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7500,U_7499),U_7498) != k2_rlvect_1(U_7504,U_7500,k2_rlvect_1(U_7504,U_7499,U_7498))
| k2_rlvect_1(U_7504,U_7500,U_7499) != k2_rlvect_1(U_7504,U_7499,U_7500) )
& m1_subset_1(U_7498,u1_struct_0(U_7504)) )
& m1_subset_1(U_7499,u1_struct_0(U_7504)) )
& m1_subset_1(U_7500,u1_struct_0(U_7504)) ) ) )
| ~ l3_vectsp_1(U_7504)
| v3_struct_0(U_7504) ),
inference(variable_rename,[status(thm)],[f_2968_1]) ).
fof(f_2968_3,plain,
! [U_7504] :
( ( ( ! [U_7503] :
( ! [U_7502] :
( ! [U_7501] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7502,U_7501),U_7503) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7502,U_7503),k1_group_1(U_7504,U_7501,U_7503))
& k1_group_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501)) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),k1_group_1(U_7504,U_7503,U_7501))
& k1_group_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),U_7501) = k1_group_1(U_7504,U_7503,k1_group_1(U_7504,U_7502,U_7501))
& k1_group_1(U_7504,k2_group_1(U_7504),U_7503) = U_7503
& k1_group_1(U_7504,U_7503,k2_group_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,U_7503,k5_rlvect_1(U_7504,U_7503)) = k1_rlvect_1(U_7504)
& k2_rlvect_1(U_7504,U_7503,k1_rlvect_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7503,U_7502),U_7501) = k2_rlvect_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501))
& k2_rlvect_1(U_7504,U_7503,U_7502) = k2_rlvect_1(U_7504,U_7502,U_7503) )
| ~ m1_subset_1(U_7501,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7502,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7503,u1_struct_0(U_7504)) )
| ~ l3_vectsp_1(U_7504)
| ~ v8_vectsp_1(U_7504)
| ~ v7_vectsp_1(U_7504)
| ~ v6_vectsp_1(U_7504)
| ~ v4_group_1(U_7504)
| ~ v6_rlvect_1(U_7504)
| ~ v5_rlvect_1(U_7504)
| ~ v4_rlvect_1(U_7504)
| ~ v3_rlvect_1(U_7504)
| v3_struct_0(U_7504) )
& ( ( l3_vectsp_1(U_7504)
& v8_vectsp_1(U_7504)
& v7_vectsp_1(U_7504)
& v6_vectsp_1(U_7504)
& v4_group_1(U_7504)
& v6_rlvect_1(U_7504)
& v5_rlvect_1(U_7504)
& v4_rlvect_1(U_7504)
& v3_rlvect_1(U_7504)
& ~ v3_struct_0(U_7504) )
| ( ? [U_7499] :
( ? [U_7498] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7499,U_7498),sK913(U_7504)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7499,sK913(U_7504)),k1_group_1(U_7504,U_7498,sK913(U_7504)))
| k1_group_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,U_7499,U_7498)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK913(U_7504),U_7499),k1_group_1(U_7504,sK913(U_7504),U_7498))
| k1_group_1(U_7504,k1_group_1(U_7504,sK913(U_7504),U_7499),U_7498) != k1_group_1(U_7504,sK913(U_7504),k1_group_1(U_7504,U_7499,U_7498))
| k1_group_1(U_7504,k2_group_1(U_7504),sK913(U_7504)) != sK913(U_7504)
| k1_group_1(U_7504,sK913(U_7504),k2_group_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k5_rlvect_1(U_7504,sK913(U_7504))) != k1_rlvect_1(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k1_rlvect_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,sK913(U_7504),U_7499),U_7498) != k2_rlvect_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,U_7499,U_7498))
| k2_rlvect_1(U_7504,sK913(U_7504),U_7499) != k2_rlvect_1(U_7504,U_7499,sK913(U_7504)) )
& m1_subset_1(U_7498,u1_struct_0(U_7504)) )
& m1_subset_1(U_7499,u1_struct_0(U_7504)) )
& m1_subset_1(sK913(U_7504),u1_struct_0(U_7504)) ) ) )
| ~ l3_vectsp_1(U_7504)
| v3_struct_0(U_7504) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK913]),skolemize(U_7500,sK913(U_7504))],[f_2968_2]) ).
fof(f_2968_4,plain,
! [U_7504] :
( ( ( ! [U_7503] :
( ! [U_7502] :
( ! [U_7501] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7502,U_7501),U_7503) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7502,U_7503),k1_group_1(U_7504,U_7501,U_7503))
& k1_group_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501)) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),k1_group_1(U_7504,U_7503,U_7501))
& k1_group_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),U_7501) = k1_group_1(U_7504,U_7503,k1_group_1(U_7504,U_7502,U_7501))
& k1_group_1(U_7504,k2_group_1(U_7504),U_7503) = U_7503
& k1_group_1(U_7504,U_7503,k2_group_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,U_7503,k5_rlvect_1(U_7504,U_7503)) = k1_rlvect_1(U_7504)
& k2_rlvect_1(U_7504,U_7503,k1_rlvect_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7503,U_7502),U_7501) = k2_rlvect_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501))
& k2_rlvect_1(U_7504,U_7503,U_7502) = k2_rlvect_1(U_7504,U_7502,U_7503) )
| ~ m1_subset_1(U_7501,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7502,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7503,u1_struct_0(U_7504)) )
| ~ l3_vectsp_1(U_7504)
| ~ v8_vectsp_1(U_7504)
| ~ v7_vectsp_1(U_7504)
| ~ v6_vectsp_1(U_7504)
| ~ v4_group_1(U_7504)
| ~ v6_rlvect_1(U_7504)
| ~ v5_rlvect_1(U_7504)
| ~ v4_rlvect_1(U_7504)
| ~ v3_rlvect_1(U_7504)
| v3_struct_0(U_7504) )
& ( ( l3_vectsp_1(U_7504)
& v8_vectsp_1(U_7504)
& v7_vectsp_1(U_7504)
& v6_vectsp_1(U_7504)
& v4_group_1(U_7504)
& v6_rlvect_1(U_7504)
& v5_rlvect_1(U_7504)
& v4_rlvect_1(U_7504)
& v3_rlvect_1(U_7504)
& ~ v3_struct_0(U_7504) )
| ( ? [U_7498] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,sK914(U_7504),U_7498),sK913(U_7504)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK914(U_7504),sK913(U_7504)),k1_group_1(U_7504,U_7498,sK913(U_7504)))
| k1_group_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),U_7498)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),k1_group_1(U_7504,sK913(U_7504),U_7498))
| k1_group_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),U_7498) != k1_group_1(U_7504,sK913(U_7504),k1_group_1(U_7504,sK914(U_7504),U_7498))
| k1_group_1(U_7504,k2_group_1(U_7504),sK913(U_7504)) != sK913(U_7504)
| k1_group_1(U_7504,sK913(U_7504),k2_group_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k5_rlvect_1(U_7504,sK913(U_7504))) != k1_rlvect_1(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k1_rlvect_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)),U_7498) != k2_rlvect_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),U_7498))
| k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)) != k2_rlvect_1(U_7504,sK914(U_7504),sK913(U_7504)) )
& m1_subset_1(U_7498,u1_struct_0(U_7504)) )
& m1_subset_1(sK914(U_7504),u1_struct_0(U_7504))
& m1_subset_1(sK913(U_7504),u1_struct_0(U_7504)) ) ) )
| ~ l3_vectsp_1(U_7504)
| v3_struct_0(U_7504) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK914]),skolemize(U_7499,sK914(U_7504))],[f_2968_3]) ).
fof(f_2968_5,plain,
! [U_7504] :
( ( ( ! [U_7503] :
( ! [U_7502] :
( ! [U_7501] :
( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7502,U_7501),U_7503) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7502,U_7503),k1_group_1(U_7504,U_7501,U_7503))
& k1_group_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501)) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),k1_group_1(U_7504,U_7503,U_7501))
& k1_group_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),U_7501) = k1_group_1(U_7504,U_7503,k1_group_1(U_7504,U_7502,U_7501))
& k1_group_1(U_7504,k2_group_1(U_7504),U_7503) = U_7503
& k1_group_1(U_7504,U_7503,k2_group_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,U_7503,k5_rlvect_1(U_7504,U_7503)) = k1_rlvect_1(U_7504)
& k2_rlvect_1(U_7504,U_7503,k1_rlvect_1(U_7504)) = U_7503
& k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7503,U_7502),U_7501) = k2_rlvect_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501))
& k2_rlvect_1(U_7504,U_7503,U_7502) = k2_rlvect_1(U_7504,U_7502,U_7503) )
| ~ m1_subset_1(U_7501,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7502,u1_struct_0(U_7504)) )
| ~ m1_subset_1(U_7503,u1_struct_0(U_7504)) )
| ~ l3_vectsp_1(U_7504)
| ~ v8_vectsp_1(U_7504)
| ~ v7_vectsp_1(U_7504)
| ~ v6_vectsp_1(U_7504)
| ~ v4_group_1(U_7504)
| ~ v6_rlvect_1(U_7504)
| ~ v5_rlvect_1(U_7504)
| ~ v4_rlvect_1(U_7504)
| ~ v3_rlvect_1(U_7504)
| v3_struct_0(U_7504) )
& ( ( l3_vectsp_1(U_7504)
& v8_vectsp_1(U_7504)
& v7_vectsp_1(U_7504)
& v6_vectsp_1(U_7504)
& v4_group_1(U_7504)
& v6_rlvect_1(U_7504)
& v5_rlvect_1(U_7504)
& v4_rlvect_1(U_7504)
& v3_rlvect_1(U_7504)
& ~ v3_struct_0(U_7504) )
| ( ( k1_group_1(U_7504,k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504)),sK913(U_7504)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK914(U_7504),sK913(U_7504)),k1_group_1(U_7504,sK915(U_7504),sK913(U_7504)))
| k1_group_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504))) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),k1_group_1(U_7504,sK913(U_7504),sK915(U_7504)))
| k1_group_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),sK915(U_7504)) != k1_group_1(U_7504,sK913(U_7504),k1_group_1(U_7504,sK914(U_7504),sK915(U_7504)))
| k1_group_1(U_7504,k2_group_1(U_7504),sK913(U_7504)) != sK913(U_7504)
| k1_group_1(U_7504,sK913(U_7504),k2_group_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k5_rlvect_1(U_7504,sK913(U_7504))) != k1_rlvect_1(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k1_rlvect_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)),sK915(U_7504)) != k2_rlvect_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504)))
| k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)) != k2_rlvect_1(U_7504,sK914(U_7504),sK913(U_7504)) )
& m1_subset_1(sK915(U_7504),u1_struct_0(U_7504))
& m1_subset_1(sK914(U_7504),u1_struct_0(U_7504))
& m1_subset_1(sK913(U_7504),u1_struct_0(U_7504)) ) ) )
| ~ l3_vectsp_1(U_7504)
| v3_struct_0(U_7504) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK915]),skolemize(U_7498,sK915(U_7504))],[f_2968_4]) ).
fof(f_2968_6,plain,
( ! [U_7504,U_7502,U_7503,U_7501] :
( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7502,U_7501),U_7503) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7502,U_7503),k1_group_1(U_7504,U_7501,U_7503))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k1_group_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501)) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),k1_group_1(U_7504,U_7503,U_7501))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k1_group_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),U_7501) = k1_group_1(U_7504,U_7503,k1_group_1(U_7504,U_7502,U_7501))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k1_group_1(U_7504,k2_group_1(U_7504),U_7503) = U_7503
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k1_group_1(U_7504,U_7503,k2_group_1(U_7504)) = U_7503
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k2_rlvect_1(U_7504,U_7503,k5_rlvect_1(U_7504,U_7503)) = k1_rlvect_1(U_7504)
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k2_rlvect_1(U_7504,U_7503,k1_rlvect_1(U_7504)) = U_7503
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7503,U_7502),U_7501) = k2_rlvect_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( k2_rlvect_1(U_7504,U_7503,U_7502) = k2_rlvect_1(U_7504,U_7502,U_7503)
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504] :
( l3_vectsp_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v8_vectsp_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v7_vectsp_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v6_vectsp_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v4_group_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v6_rlvect_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v5_rlvect_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v4_rlvect_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( v3_rlvect_1(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( ~ v3_struct_0(U_7504)
| ~ sP1351(U_7504) )
& ! [U_7504] :
( k1_group_1(U_7504,k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504)),sK913(U_7504)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK914(U_7504),sK913(U_7504)),k1_group_1(U_7504,sK915(U_7504),sK913(U_7504)))
| k1_group_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504))) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),k1_group_1(U_7504,sK913(U_7504),sK915(U_7504)))
| k1_group_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),sK915(U_7504)) != k1_group_1(U_7504,sK913(U_7504),k1_group_1(U_7504,sK914(U_7504),sK915(U_7504)))
| k1_group_1(U_7504,k2_group_1(U_7504),sK913(U_7504)) != sK913(U_7504)
| k1_group_1(U_7504,sK913(U_7504),k2_group_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k5_rlvect_1(U_7504,sK913(U_7504))) != k1_rlvect_1(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k1_rlvect_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)),sK915(U_7504)) != k2_rlvect_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504)))
| k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)) != k2_rlvect_1(U_7504,sK914(U_7504),sK913(U_7504))
| ~ sP1350(U_7504) )
& ! [U_7504] :
( m1_subset_1(sK915(U_7504),u1_struct_0(U_7504))
| ~ sP1350(U_7504) )
& ! [U_7504] :
( m1_subset_1(sK914(U_7504),u1_struct_0(U_7504))
| ~ sP1350(U_7504) )
& ! [U_7504] :
( m1_subset_1(sK913(U_7504),u1_struct_0(U_7504))
| ~ sP1350(U_7504) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( sP1352(U_7504,U_7502,U_7503,U_7501)
| ~ m1_subset_1(U_7501,u1_struct_0(U_7504))
| ~ m1_subset_1(U_7502,u1_struct_0(U_7504))
| ~ m1_subset_1(U_7503,u1_struct_0(U_7504))
| ~ l3_vectsp_1(U_7504)
| ~ v8_vectsp_1(U_7504)
| ~ v7_vectsp_1(U_7504)
| ~ v6_vectsp_1(U_7504)
| ~ v4_group_1(U_7504)
| ~ v6_rlvect_1(U_7504)
| ~ v5_rlvect_1(U_7504)
| ~ v4_rlvect_1(U_7504)
| ~ v3_rlvect_1(U_7504)
| v3_struct_0(U_7504)
| ~ sP1353(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( sP1351(U_7504)
| sP1350(U_7504)
| ~ sP1353(U_7504,U_7502,U_7503,U_7501) )
& ! [U_7504,U_7502,U_7503,U_7501] :
( sP1353(U_7504,U_7502,U_7503,U_7501)
| ~ l3_vectsp_1(U_7504)
| v3_struct_0(U_7504) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1350,sP1351,sP1352,sP1353])],[f_2968_5]) ).
cnf(f_2968_7,plain,
( sP1353(U_7504,U_7502,U_7503,U_7501)
| ~ l3_vectsp_1(U_7504)
| v3_struct_0(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_8,plain,
( sP1351(U_7504)
| sP1350(U_7504)
| ~ sP1353(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_9,plain,
( sP1352(U_7504,U_7502,U_7503,U_7501)
| ~ m1_subset_1(U_7501,u1_struct_0(U_7504))
| ~ m1_subset_1(U_7502,u1_struct_0(U_7504))
| ~ m1_subset_1(U_7503,u1_struct_0(U_7504))
| ~ l3_vectsp_1(U_7504)
| ~ v8_vectsp_1(U_7504)
| ~ v7_vectsp_1(U_7504)
| ~ v6_vectsp_1(U_7504)
| ~ v4_group_1(U_7504)
| ~ v6_rlvect_1(U_7504)
| ~ v5_rlvect_1(U_7504)
| ~ v4_rlvect_1(U_7504)
| ~ v3_rlvect_1(U_7504)
| v3_struct_0(U_7504)
| ~ sP1353(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_10,plain,
( m1_subset_1(sK913(U_7504),u1_struct_0(U_7504))
| ~ sP1350(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_11,plain,
( m1_subset_1(sK914(U_7504),u1_struct_0(U_7504))
| ~ sP1350(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_12,plain,
( m1_subset_1(sK915(U_7504),u1_struct_0(U_7504))
| ~ sP1350(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_13,plain,
( k1_group_1(U_7504,k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504)),sK913(U_7504)) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK914(U_7504),sK913(U_7504)),k1_group_1(U_7504,sK915(U_7504),sK913(U_7504)))
| k1_group_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504))) != k2_rlvect_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),k1_group_1(U_7504,sK913(U_7504),sK915(U_7504)))
| k1_group_1(U_7504,k1_group_1(U_7504,sK913(U_7504),sK914(U_7504)),sK915(U_7504)) != k1_group_1(U_7504,sK913(U_7504),k1_group_1(U_7504,sK914(U_7504),sK915(U_7504)))
| k1_group_1(U_7504,k2_group_1(U_7504),sK913(U_7504)) != sK913(U_7504)
| k1_group_1(U_7504,sK913(U_7504),k2_group_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k5_rlvect_1(U_7504,sK913(U_7504))) != k1_rlvect_1(U_7504)
| k2_rlvect_1(U_7504,sK913(U_7504),k1_rlvect_1(U_7504)) != sK913(U_7504)
| k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)),sK915(U_7504)) != k2_rlvect_1(U_7504,sK913(U_7504),k2_rlvect_1(U_7504,sK914(U_7504),sK915(U_7504)))
| k2_rlvect_1(U_7504,sK913(U_7504),sK914(U_7504)) != k2_rlvect_1(U_7504,sK914(U_7504),sK913(U_7504))
| ~ sP1350(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_14,plain,
( ~ v3_struct_0(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_15,plain,
( v3_rlvect_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_16,plain,
( v4_rlvect_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_17,plain,
( v5_rlvect_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_18,plain,
( v6_rlvect_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_19,plain,
( v4_group_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_20,plain,
( v6_vectsp_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_21,plain,
( v7_vectsp_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_22,plain,
( v8_vectsp_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_23,plain,
( l3_vectsp_1(U_7504)
| ~ sP1351(U_7504) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_24,plain,
( k2_rlvect_1(U_7504,U_7503,U_7502) = k2_rlvect_1(U_7504,U_7502,U_7503)
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_25,plain,
( k2_rlvect_1(U_7504,k2_rlvect_1(U_7504,U_7503,U_7502),U_7501) = k2_rlvect_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_26,plain,
( k2_rlvect_1(U_7504,U_7503,k1_rlvect_1(U_7504)) = U_7503
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_27,plain,
( k2_rlvect_1(U_7504,U_7503,k5_rlvect_1(U_7504,U_7503)) = k1_rlvect_1(U_7504)
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_28,plain,
( k1_group_1(U_7504,U_7503,k2_group_1(U_7504)) = U_7503
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_29,plain,
( k1_group_1(U_7504,k2_group_1(U_7504),U_7503) = U_7503
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_30,plain,
( k1_group_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),U_7501) = k1_group_1(U_7504,U_7503,k1_group_1(U_7504,U_7502,U_7501))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_31,plain,
( k1_group_1(U_7504,U_7503,k2_rlvect_1(U_7504,U_7502,U_7501)) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7503,U_7502),k1_group_1(U_7504,U_7503,U_7501))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
cnf(f_2968_32,plain,
( k1_group_1(U_7504,k2_rlvect_1(U_7504,U_7502,U_7501),U_7503) = k2_rlvect_1(U_7504,k1_group_1(U_7504,U_7502,U_7503),k1_group_1(U_7504,U_7501,U_7503))
| ~ sP1352(U_7504,U_7502,U_7503,U_7501) ),
inference(clausify,[status(thm)],[f_2968_6]) ).
fof(f_2969_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d3_vectsp_2]) ).
fof(f_2969_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2969_1]) ).
cnf(f_2969_3,plain,
$true,
inference(clausify,[status(thm)],[f_2969_2]) ).
fof(f_2970_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d4_vectsp_2]) ).
fof(f_2970_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2970_1]) ).
cnf(f_2970_3,plain,
$true,
inference(clausify,[status(thm)],[f_2970_2]) ).
fof(f_2971_1,plain,
! [A] :
( ( ( v2_vectsp_2(A)
| ? [B] :
( ? [C] :
( C != k1_rlvect_1(A)
& B != k1_rlvect_1(A)
& k1_group_1(A,B,C) = k1_rlvect_1(A)
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) ) )
& ( ! [B] :
( ! [C] :
( C = k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| k1_group_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ v2_vectsp_2(A) ) )
| ~ l2_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_vectsp_2]) ).
fof(f_2971_2,plain,
! [U_7509] :
( ( ( v2_vectsp_2(U_7509)
| ? [U_7508] :
( ? [U_7507] :
( U_7507 != k1_rlvect_1(U_7509)
& U_7508 != k1_rlvect_1(U_7509)
& k1_group_1(U_7509,U_7508,U_7507) = k1_rlvect_1(U_7509)
& m1_subset_1(U_7507,u1_struct_0(U_7509)) )
& m1_subset_1(U_7508,u1_struct_0(U_7509)) ) )
& ( ! [U_7506] :
( ! [U_7505] :
( U_7505 = k1_rlvect_1(U_7509)
| U_7506 = k1_rlvect_1(U_7509)
| k1_group_1(U_7509,U_7506,U_7505) != k1_rlvect_1(U_7509)
| ~ m1_subset_1(U_7505,u1_struct_0(U_7509)) )
| ~ m1_subset_1(U_7506,u1_struct_0(U_7509)) )
| ~ v2_vectsp_2(U_7509) ) )
| ~ l2_vectsp_1(U_7509)
| v3_struct_0(U_7509) ),
inference(variable_rename,[status(thm)],[f_2971_1]) ).
fof(f_2971_3,plain,
! [U_7509] :
( ( ( v2_vectsp_2(U_7509)
| ( ? [U_7507] :
( U_7507 != k1_rlvect_1(U_7509)
& sK916(U_7509) != k1_rlvect_1(U_7509)
& k1_group_1(U_7509,sK916(U_7509),U_7507) = k1_rlvect_1(U_7509)
& m1_subset_1(U_7507,u1_struct_0(U_7509)) )
& m1_subset_1(sK916(U_7509),u1_struct_0(U_7509)) ) )
& ( ! [U_7506] :
( ! [U_7505] :
( U_7505 = k1_rlvect_1(U_7509)
| U_7506 = k1_rlvect_1(U_7509)
| k1_group_1(U_7509,U_7506,U_7505) != k1_rlvect_1(U_7509)
| ~ m1_subset_1(U_7505,u1_struct_0(U_7509)) )
| ~ m1_subset_1(U_7506,u1_struct_0(U_7509)) )
| ~ v2_vectsp_2(U_7509) ) )
| ~ l2_vectsp_1(U_7509)
| v3_struct_0(U_7509) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK916]),skolemize(U_7508,sK916(U_7509))],[f_2971_2]) ).
fof(f_2971_4,plain,
! [U_7509] :
( ( ( v2_vectsp_2(U_7509)
| ( sK917(U_7509) != k1_rlvect_1(U_7509)
& sK916(U_7509) != k1_rlvect_1(U_7509)
& k1_group_1(U_7509,sK916(U_7509),sK917(U_7509)) = k1_rlvect_1(U_7509)
& m1_subset_1(sK917(U_7509),u1_struct_0(U_7509))
& m1_subset_1(sK916(U_7509),u1_struct_0(U_7509)) ) )
& ( ! [U_7506] :
( ! [U_7505] :
( U_7505 = k1_rlvect_1(U_7509)
| U_7506 = k1_rlvect_1(U_7509)
| k1_group_1(U_7509,U_7506,U_7505) != k1_rlvect_1(U_7509)
| ~ m1_subset_1(U_7505,u1_struct_0(U_7509)) )
| ~ m1_subset_1(U_7506,u1_struct_0(U_7509)) )
| ~ v2_vectsp_2(U_7509) ) )
| ~ l2_vectsp_1(U_7509)
| v3_struct_0(U_7509) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK917]),skolemize(U_7507,sK917(U_7509))],[f_2971_3]) ).
fof(f_2971_5,plain,
( ! [U_7509] :
( sK917(U_7509) != k1_rlvect_1(U_7509)
| ~ sP1354(U_7509) )
& ! [U_7509] :
( sK916(U_7509) != k1_rlvect_1(U_7509)
| ~ sP1354(U_7509) )
& ! [U_7509] :
( k1_group_1(U_7509,sK916(U_7509),sK917(U_7509)) = k1_rlvect_1(U_7509)
| ~ sP1354(U_7509) )
& ! [U_7509] :
( m1_subset_1(sK917(U_7509),u1_struct_0(U_7509))
| ~ sP1354(U_7509) )
& ! [U_7509] :
( m1_subset_1(sK916(U_7509),u1_struct_0(U_7509))
| ~ sP1354(U_7509) )
& ! [U_7506,U_7509,U_7505] :
( v2_vectsp_2(U_7509)
| sP1354(U_7509)
| ~ sP1355(U_7506,U_7509,U_7505) )
& ! [U_7506,U_7509,U_7505] :
( U_7505 = k1_rlvect_1(U_7509)
| U_7506 = k1_rlvect_1(U_7509)
| k1_group_1(U_7509,U_7506,U_7505) != k1_rlvect_1(U_7509)
| ~ m1_subset_1(U_7505,u1_struct_0(U_7509))
| ~ m1_subset_1(U_7506,u1_struct_0(U_7509))
| ~ v2_vectsp_2(U_7509)
| ~ sP1355(U_7506,U_7509,U_7505) )
& ! [U_7506,U_7509,U_7505] :
( sP1355(U_7506,U_7509,U_7505)
| ~ l2_vectsp_1(U_7509)
| v3_struct_0(U_7509) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1354,sP1355])],[f_2971_4]) ).
cnf(f_2971_6,plain,
( sP1355(U_7506,U_7509,U_7505)
| ~ l2_vectsp_1(U_7509)
| v3_struct_0(U_7509) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_7,plain,
( U_7505 = k1_rlvect_1(U_7509)
| U_7506 = k1_rlvect_1(U_7509)
| k1_group_1(U_7509,U_7506,U_7505) != k1_rlvect_1(U_7509)
| ~ m1_subset_1(U_7505,u1_struct_0(U_7509))
| ~ m1_subset_1(U_7506,u1_struct_0(U_7509))
| ~ v2_vectsp_2(U_7509)
| ~ sP1355(U_7506,U_7509,U_7505) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_8,plain,
( v2_vectsp_2(U_7509)
| sP1354(U_7509)
| ~ sP1355(U_7506,U_7509,U_7505) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_9,plain,
( m1_subset_1(sK916(U_7509),u1_struct_0(U_7509))
| ~ sP1354(U_7509) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_10,plain,
( m1_subset_1(sK917(U_7509),u1_struct_0(U_7509))
| ~ sP1354(U_7509) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_11,plain,
( k1_group_1(U_7509,sK916(U_7509),sK917(U_7509)) = k1_rlvect_1(U_7509)
| ~ sP1354(U_7509) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_12,plain,
( sK916(U_7509) != k1_rlvect_1(U_7509)
| ~ sP1354(U_7509) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
cnf(f_2971_13,plain,
( sK917(U_7509) != k1_rlvect_1(U_7509)
| ~ sP1354(U_7509) ),
inference(clausify,[status(thm)],[f_2971_5]) ).
fof(f_2972_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_vectsp_2]) ).
fof(f_2972_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2972_1]) ).
cnf(f_2972_3,plain,
$true,
inference(clausify,[status(thm)],[f_2972_2]) ).
fof(f_2973_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_vectsp_2]) ).
fof(f_2973_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2973_1]) ).
cnf(f_2973_3,plain,
$true,
inference(clausify,[status(thm)],[f_2973_2]) ).
fof(f_2974_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_vectsp_2]) ).
fof(f_2974_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2974_1]) ).
cnf(f_2974_3,plain,
$true,
inference(clausify,[status(thm)],[f_2974_2]) ).
fof(f_2975_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_vectsp_2]) ).
fof(f_2975_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2975_1]) ).
cnf(f_2975_3,plain,
$true,
inference(clausify,[status(thm)],[f_2975_2]) ).
fof(f_2976_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_vectsp_2]) ).
fof(f_2976_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2976_1]) ).
cnf(f_2976_3,plain,
$true,
inference(clausify,[status(thm)],[f_2976_2]) ).
fof(f_2977_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_vectsp_2]) ).
fof(f_2977_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2977_1]) ).
cnf(f_2977_3,plain,
$true,
inference(clausify,[status(thm)],[f_2977_2]) ).
fof(f_2978_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_vectsp_2]) ).
fof(f_2978_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2978_1]) ).
cnf(f_2978_3,plain,
$true,
inference(clausify,[status(thm)],[f_2978_2]) ).
fof(f_2979_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_vectsp_2]) ).
fof(f_2979_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2979_1]) ).
cnf(f_2979_3,plain,
$true,
inference(clausify,[status(thm)],[f_2979_2]) ).
fof(f_2980_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_vectsp_2]) ).
fof(f_2980_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2980_1]) ).
cnf(f_2980_3,plain,
$true,
inference(clausify,[status(thm)],[f_2980_2]) ).
fof(f_2981_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_vectsp_2]) ).
fof(f_2981_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2981_1]) ).
cnf(f_2981_3,plain,
$true,
inference(clausify,[status(thm)],[f_2981_2]) ).
fof(f_2982_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_vectsp_2]) ).
fof(f_2982_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2982_1]) ).
cnf(f_2982_3,plain,
$true,
inference(clausify,[status(thm)],[f_2982_2]) ).
fof(f_2983_1,plain,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t13_vectsp_2]) ).
fof(f_2983_2,plain,
! [U_7510] :
( ( l3_vectsp_1(U_7510)
& v2_vectsp_2(U_7510)
& ~ v10_vectsp_1(U_7510)
& v8_vectsp_1(U_7510)
& v7_vectsp_1(U_7510)
& v6_vectsp_1(U_7510)
& v7_group_1(U_7510)
& v4_group_1(U_7510)
& v6_rlvect_1(U_7510)
& v5_rlvect_1(U_7510)
& v4_rlvect_1(U_7510)
& v3_rlvect_1(U_7510)
& ~ v3_struct_0(U_7510) )
| ~ l3_vectsp_1(U_7510)
| v10_vectsp_1(U_7510)
| ~ v9_vectsp_1(U_7510)
| ~ v8_vectsp_1(U_7510)
| ~ v7_vectsp_1(U_7510)
| ~ v7_group_1(U_7510)
| ~ v4_group_1(U_7510)
| ~ v6_rlvect_1(U_7510)
| ~ v5_rlvect_1(U_7510)
| ~ v4_rlvect_1(U_7510)
| ~ v3_rlvect_1(U_7510)
| v3_struct_0(U_7510) ),
inference(variable_rename,[status(thm)],[f_2983_1]) ).
fof(f_2983_3,plain,
( ! [U_7510] :
( l3_vectsp_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v2_vectsp_2(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( ~ v10_vectsp_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v8_vectsp_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v7_vectsp_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v6_vectsp_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v7_group_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v4_group_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v6_rlvect_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v5_rlvect_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v4_rlvect_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( v3_rlvect_1(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( ~ v3_struct_0(U_7510)
| ~ sP1356(U_7510) )
& ! [U_7510] :
( sP1356(U_7510)
| ~ l3_vectsp_1(U_7510)
| v10_vectsp_1(U_7510)
| ~ v9_vectsp_1(U_7510)
| ~ v8_vectsp_1(U_7510)
| ~ v7_vectsp_1(U_7510)
| ~ v7_group_1(U_7510)
| ~ v4_group_1(U_7510)
| ~ v6_rlvect_1(U_7510)
| ~ v5_rlvect_1(U_7510)
| ~ v4_rlvect_1(U_7510)
| ~ v3_rlvect_1(U_7510)
| v3_struct_0(U_7510) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1356])],[f_2983_2]) ).
cnf(f_2983_4,plain,
( sP1356(U_7510)
| ~ l3_vectsp_1(U_7510)
| v10_vectsp_1(U_7510)
| ~ v9_vectsp_1(U_7510)
| ~ v8_vectsp_1(U_7510)
| ~ v7_vectsp_1(U_7510)
| ~ v7_group_1(U_7510)
| ~ v4_group_1(U_7510)
| ~ v6_rlvect_1(U_7510)
| ~ v5_rlvect_1(U_7510)
| ~ v4_rlvect_1(U_7510)
| ~ v3_rlvect_1(U_7510)
| v3_struct_0(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_5,plain,
( ~ v3_struct_0(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_6,plain,
( v3_rlvect_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_7,plain,
( v4_rlvect_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_8,plain,
( v5_rlvect_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_9,plain,
( v6_rlvect_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_10,plain,
( v4_group_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_11,plain,
( v7_group_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_12,plain,
( v6_vectsp_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_13,plain,
( v7_vectsp_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_14,plain,
( v8_vectsp_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_15,plain,
( ~ v10_vectsp_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_16,plain,
( v2_vectsp_2(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
cnf(f_2983_17,plain,
( l3_vectsp_1(U_7510)
| ~ sP1356(U_7510) ),
inference(clausify,[status(thm)],[f_2983_3]) ).
fof(f_2984_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_vectsp_2]) ).
fof(f_2984_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2984_1]) ).
cnf(f_2984_3,plain,
$true,
inference(clausify,[status(thm)],[f_2984_2]) ).
fof(f_2985_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_vectsp_2]) ).
fof(f_2985_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2985_1]) ).
cnf(f_2985_3,plain,
$true,
inference(clausify,[status(thm)],[f_2985_2]) ).
fof(f_2986_1,plain,
! [A] :
( ( l3_vectsp_1(A)
& ~ v10_vectsp_1(A)
& v9_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
| ? [B] :
( ( k1_rlvect_1(A) = k2_group_1(A)
| ( ! [C] :
( k1_group_1(A,B,C) != k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
& B != k1_rlvect_1(A) ) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t16_vectsp_2]) ).
fof(f_2986_2,plain,
! [U_7513] :
( ( l3_vectsp_1(U_7513)
& ~ v10_vectsp_1(U_7513)
& v9_vectsp_1(U_7513)
& v8_vectsp_1(U_7513)
& v7_vectsp_1(U_7513)
& v6_vectsp_1(U_7513)
& v4_group_1(U_7513)
& v6_rlvect_1(U_7513)
& v5_rlvect_1(U_7513)
& v4_rlvect_1(U_7513)
& v3_rlvect_1(U_7513)
& ~ v3_struct_0(U_7513) )
| ? [U_7512] :
( ( k1_rlvect_1(U_7513) = k2_group_1(U_7513)
| ( ! [U_7511] :
( k1_group_1(U_7513,U_7512,U_7511) != k2_group_1(U_7513)
| ~ m1_subset_1(U_7511,u1_struct_0(U_7513)) )
& U_7512 != k1_rlvect_1(U_7513) ) )
& m1_subset_1(U_7512,u1_struct_0(U_7513)) )
| ~ l3_vectsp_1(U_7513)
| ~ v8_vectsp_1(U_7513)
| ~ v7_vectsp_1(U_7513)
| ~ v6_vectsp_1(U_7513)
| ~ v4_group_1(U_7513)
| ~ v6_rlvect_1(U_7513)
| ~ v5_rlvect_1(U_7513)
| ~ v4_rlvect_1(U_7513)
| ~ v3_rlvect_1(U_7513)
| v3_struct_0(U_7513) ),
inference(variable_rename,[status(thm)],[f_2986_1]) ).
fof(f_2986_3,plain,
! [U_7513] :
( ( l3_vectsp_1(U_7513)
& ~ v10_vectsp_1(U_7513)
& v9_vectsp_1(U_7513)
& v8_vectsp_1(U_7513)
& v7_vectsp_1(U_7513)
& v6_vectsp_1(U_7513)
& v4_group_1(U_7513)
& v6_rlvect_1(U_7513)
& v5_rlvect_1(U_7513)
& v4_rlvect_1(U_7513)
& v3_rlvect_1(U_7513)
& ~ v3_struct_0(U_7513) )
| ( ( k1_rlvect_1(U_7513) = k2_group_1(U_7513)
| ( ! [U_7511] :
( k1_group_1(U_7513,sK918(U_7513),U_7511) != k2_group_1(U_7513)
| ~ m1_subset_1(U_7511,u1_struct_0(U_7513)) )
& sK918(U_7513) != k1_rlvect_1(U_7513) ) )
& m1_subset_1(sK918(U_7513),u1_struct_0(U_7513)) )
| ~ l3_vectsp_1(U_7513)
| ~ v8_vectsp_1(U_7513)
| ~ v7_vectsp_1(U_7513)
| ~ v6_vectsp_1(U_7513)
| ~ v4_group_1(U_7513)
| ~ v6_rlvect_1(U_7513)
| ~ v5_rlvect_1(U_7513)
| ~ v4_rlvect_1(U_7513)
| ~ v3_rlvect_1(U_7513)
| v3_struct_0(U_7513) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK918]),skolemize(U_7512,sK918(U_7513))],[f_2986_2]) ).
fof(f_2986_4,plain,
( ! [U_7513] :
( l3_vectsp_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( ~ v10_vectsp_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v9_vectsp_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v8_vectsp_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v7_vectsp_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v6_vectsp_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v4_group_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v6_rlvect_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v5_rlvect_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v4_rlvect_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( v3_rlvect_1(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7513] :
( ~ v3_struct_0(U_7513)
| ~ sP1359(U_7513) )
& ! [U_7511,U_7513] :
( k1_group_1(U_7513,sK918(U_7513),U_7511) != k2_group_1(U_7513)
| ~ m1_subset_1(U_7511,u1_struct_0(U_7513))
| ~ sP1357(U_7511,U_7513) )
& ! [U_7511,U_7513] :
( sK918(U_7513) != k1_rlvect_1(U_7513)
| ~ sP1357(U_7511,U_7513) )
& ! [U_7511,U_7513] :
( k1_rlvect_1(U_7513) = k2_group_1(U_7513)
| sP1357(U_7511,U_7513)
| ~ sP1358(U_7511,U_7513) )
& ! [U_7511,U_7513] :
( m1_subset_1(sK918(U_7513),u1_struct_0(U_7513))
| ~ sP1358(U_7511,U_7513) )
& ! [U_7511,U_7513] :
( sP1359(U_7513)
| sP1358(U_7511,U_7513)
| ~ l3_vectsp_1(U_7513)
| ~ v8_vectsp_1(U_7513)
| ~ v7_vectsp_1(U_7513)
| ~ v6_vectsp_1(U_7513)
| ~ v4_group_1(U_7513)
| ~ v6_rlvect_1(U_7513)
| ~ v5_rlvect_1(U_7513)
| ~ v4_rlvect_1(U_7513)
| ~ v3_rlvect_1(U_7513)
| v3_struct_0(U_7513) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1357,sP1358,sP1359])],[f_2986_3]) ).
cnf(f_2986_5,plain,
( sP1359(U_7513)
| sP1358(U_7511,U_7513)
| ~ l3_vectsp_1(U_7513)
| ~ v8_vectsp_1(U_7513)
| ~ v7_vectsp_1(U_7513)
| ~ v6_vectsp_1(U_7513)
| ~ v4_group_1(U_7513)
| ~ v6_rlvect_1(U_7513)
| ~ v5_rlvect_1(U_7513)
| ~ v4_rlvect_1(U_7513)
| ~ v3_rlvect_1(U_7513)
| v3_struct_0(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_6,plain,
( m1_subset_1(sK918(U_7513),u1_struct_0(U_7513))
| ~ sP1358(U_7511,U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_7,plain,
( k1_rlvect_1(U_7513) = k2_group_1(U_7513)
| sP1357(U_7511,U_7513)
| ~ sP1358(U_7511,U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_8,plain,
( sK918(U_7513) != k1_rlvect_1(U_7513)
| ~ sP1357(U_7511,U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_9,plain,
( k1_group_1(U_7513,sK918(U_7513),U_7511) != k2_group_1(U_7513)
| ~ m1_subset_1(U_7511,u1_struct_0(U_7513))
| ~ sP1357(U_7511,U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_10,plain,
( ~ v3_struct_0(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_11,plain,
( v3_rlvect_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_12,plain,
( v4_rlvect_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_13,plain,
( v5_rlvect_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_14,plain,
( v6_rlvect_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_15,plain,
( v4_group_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_16,plain,
( v6_vectsp_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_17,plain,
( v7_vectsp_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_18,plain,
( v8_vectsp_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_19,plain,
( v9_vectsp_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_20,plain,
( ~ v10_vectsp_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
cnf(f_2986_21,plain,
( l3_vectsp_1(U_7513)
| ~ sP1359(U_7513) ),
inference(clausify,[status(thm)],[f_2986_4]) ).
fof(f_2987_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_vectsp_2]) ).
fof(f_2987_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2987_1]) ).
cnf(f_2987_3,plain,
$true,
inference(clausify,[status(thm)],[f_2987_2]) ).
fof(f_2988_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_vectsp_2]) ).
fof(f_2988_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2988_1]) ).
cnf(f_2988_3,plain,
$true,
inference(clausify,[status(thm)],[f_2988_2]) ).
fof(f_2989_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t19_vectsp_2]) ).
fof(f_2989_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2989_1]) ).
cnf(f_2989_3,plain,
$true,
inference(clausify,[status(thm)],[f_2989_2]) ).
fof(f_2990_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_vectsp_2]) ).
fof(f_2990_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2990_1]) ).
cnf(f_2990_3,plain,
$true,
inference(clausify,[status(thm)],[f_2990_2]) ).
fof(f_2991_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t21_vectsp_2]) ).
fof(f_2991_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2991_1]) ).
cnf(f_2991_3,plain,
$true,
inference(clausify,[status(thm)],[f_2991_2]) ).
fof(f_2992_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k4_rlvect_1(A,B,C) = D
| C != k6_rlvect_1(A,D,B) )
& ( C = k6_rlvect_1(A,D,B)
| k4_rlvect_1(A,B,C) != D )
& ( k4_rlvect_1(A,B,C) = D
| B != k6_rlvect_1(A,D,C) )
& ( B = k6_rlvect_1(A,D,C)
| k4_rlvect_1(A,B,C) != D ) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_vectsp_2]) ).
fof(f_2992_2,plain,
! [U_7517] :
( ! [U_7516] :
( ! [U_7515] :
( ! [U_7514] :
( ( ( k4_rlvect_1(U_7517,U_7516,U_7515) = U_7514
| U_7515 != k6_rlvect_1(U_7517,U_7514,U_7516) )
& ( U_7515 = k6_rlvect_1(U_7517,U_7514,U_7516)
| k4_rlvect_1(U_7517,U_7516,U_7515) != U_7514 )
& ( k4_rlvect_1(U_7517,U_7516,U_7515) = U_7514
| U_7516 != k6_rlvect_1(U_7517,U_7514,U_7515) )
& ( U_7516 = k6_rlvect_1(U_7517,U_7514,U_7515)
| k4_rlvect_1(U_7517,U_7516,U_7515) != U_7514 ) )
| ~ m1_subset_1(U_7514,u1_struct_0(U_7517)) )
| ~ m1_subset_1(U_7515,u1_struct_0(U_7517)) )
| ~ m1_subset_1(U_7516,u1_struct_0(U_7517)) )
| ~ l1_rlvect_1(U_7517)
| ~ v6_rlvect_1(U_7517)
| ~ v5_rlvect_1(U_7517)
| ~ v4_rlvect_1(U_7517)
| ~ v3_rlvect_1(U_7517)
| v3_struct_0(U_7517) ),
inference(variable_rename,[status(thm)],[f_2992_1]) ).
fof(f_2992_3,plain,
( ! [U_7515,U_7516,U_7514,U_7517] :
( k4_rlvect_1(U_7517,U_7516,U_7515) = U_7514
| U_7515 != k6_rlvect_1(U_7517,U_7514,U_7516)
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) )
& ! [U_7515,U_7516,U_7514,U_7517] :
( U_7515 = k6_rlvect_1(U_7517,U_7514,U_7516)
| k4_rlvect_1(U_7517,U_7516,U_7515) != U_7514
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) )
& ! [U_7515,U_7516,U_7514,U_7517] :
( k4_rlvect_1(U_7517,U_7516,U_7515) = U_7514
| U_7516 != k6_rlvect_1(U_7517,U_7514,U_7515)
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) )
& ! [U_7515,U_7516,U_7514,U_7517] :
( U_7516 = k6_rlvect_1(U_7517,U_7514,U_7515)
| k4_rlvect_1(U_7517,U_7516,U_7515) != U_7514
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) )
& ! [U_7515,U_7516,U_7514,U_7517] :
( sP1360(U_7515,U_7516,U_7514,U_7517)
| ~ m1_subset_1(U_7514,u1_struct_0(U_7517))
| ~ m1_subset_1(U_7515,u1_struct_0(U_7517))
| ~ m1_subset_1(U_7516,u1_struct_0(U_7517))
| ~ l1_rlvect_1(U_7517)
| ~ v6_rlvect_1(U_7517)
| ~ v5_rlvect_1(U_7517)
| ~ v4_rlvect_1(U_7517)
| ~ v3_rlvect_1(U_7517)
| v3_struct_0(U_7517) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1360])],[f_2992_2]) ).
cnf(f_2992_4,plain,
( sP1360(U_7515,U_7516,U_7514,U_7517)
| ~ m1_subset_1(U_7514,u1_struct_0(U_7517))
| ~ m1_subset_1(U_7515,u1_struct_0(U_7517))
| ~ m1_subset_1(U_7516,u1_struct_0(U_7517))
| ~ l1_rlvect_1(U_7517)
| ~ v6_rlvect_1(U_7517)
| ~ v5_rlvect_1(U_7517)
| ~ v4_rlvect_1(U_7517)
| ~ v3_rlvect_1(U_7517)
| v3_struct_0(U_7517) ),
inference(clausify,[status(thm)],[f_2992_3]) ).
cnf(f_2992_5,plain,
( U_7516 = k6_rlvect_1(U_7517,U_7514,U_7515)
| k4_rlvect_1(U_7517,U_7516,U_7515) != U_7514
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) ),
inference(clausify,[status(thm)],[f_2992_3]) ).
cnf(f_2992_6,plain,
( k4_rlvect_1(U_7517,U_7516,U_7515) = U_7514
| U_7516 != k6_rlvect_1(U_7517,U_7514,U_7515)
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) ),
inference(clausify,[status(thm)],[f_2992_3]) ).
cnf(f_2992_7,plain,
( U_7515 = k6_rlvect_1(U_7517,U_7514,U_7516)
| k4_rlvect_1(U_7517,U_7516,U_7515) != U_7514
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) ),
inference(clausify,[status(thm)],[f_2992_3]) ).
cnf(f_2992_8,plain,
( k4_rlvect_1(U_7517,U_7516,U_7515) = U_7514
| U_7515 != k6_rlvect_1(U_7517,U_7514,U_7516)
| ~ sP1360(U_7515,U_7516,U_7514,U_7517) ),
inference(clausify,[status(thm)],[f_2992_3]) ).
fof(f_2993_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t23_vectsp_2]) ).
fof(f_2993_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2993_1]) ).
cnf(f_2993_3,plain,
$true,
inference(clausify,[status(thm)],[f_2993_2]) ).
fof(f_2994_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_vectsp_2]) ).
fof(f_2994_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2994_1]) ).
cnf(f_2994_3,plain,
$true,
inference(clausify,[status(thm)],[f_2994_2]) ).
fof(f_2995_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t25_vectsp_2]) ).
fof(f_2995_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2995_1]) ).
cnf(f_2995_3,plain,
$true,
inference(clausify,[status(thm)],[f_2995_2]) ).
fof(f_2996_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_vectsp_2]) ).
fof(f_2996_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2996_1]) ).
cnf(f_2996_3,plain,
$true,
inference(clausify,[status(thm)],[f_2996_2]) ).
fof(f_2997_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_vectsp_2]) ).
fof(f_2997_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2997_1]) ).
cnf(f_2997_3,plain,
$true,
inference(clausify,[status(thm)],[f_2997_2]) ).
fof(f_2998_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_vectsp_2]) ).
fof(f_2998_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2998_1]) ).
cnf(f_2998_3,plain,
$true,
inference(clausify,[status(thm)],[f_2998_2]) ).
fof(f_2999_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_vectsp_2]) ).
fof(f_2999_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_2999_1]) ).
cnf(f_2999_3,plain,
$true,
inference(clausify,[status(thm)],[f_2999_2]) ).
fof(f_3000_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_vectsp_2]) ).
fof(f_3000_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3000_1]) ).
cnf(f_3000_3,plain,
$true,
inference(clausify,[status(thm)],[f_3000_2]) ).
fof(f_3001_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_vectsp_2]) ).
fof(f_3001_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3001_1]) ).
cnf(f_3001_3,plain,
$true,
inference(clausify,[status(thm)],[f_3001_2]) ).
fof(f_3002_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_vectsp_2]) ).
fof(f_3002_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3002_1]) ).
cnf(f_3002_3,plain,
$true,
inference(clausify,[status(thm)],[f_3002_2]) ).
fof(f_3003_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t33_vectsp_2]) ).
fof(f_3003_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3003_1]) ).
cnf(f_3003_3,plain,
$true,
inference(clausify,[status(thm)],[f_3003_2]) ).
fof(f_3004_1,plain,
! [A] :
( ! [B] :
( ( ( B = k1_rlvect_1(A)
| k5_rlvect_1(A,B) != k1_rlvect_1(A) )
& ( k5_rlvect_1(A,B) = k1_rlvect_1(A)
| B != k1_rlvect_1(A) ) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_vectsp_2]) ).
fof(f_3004_2,plain,
! [U_7519] :
( ! [U_7518] :
( ( ( U_7518 = k1_rlvect_1(U_7519)
| k5_rlvect_1(U_7519,U_7518) != k1_rlvect_1(U_7519) )
& ( k5_rlvect_1(U_7519,U_7518) = k1_rlvect_1(U_7519)
| U_7518 != k1_rlvect_1(U_7519) ) )
| ~ m1_subset_1(U_7518,u1_struct_0(U_7519)) )
| ~ l1_rlvect_1(U_7519)
| ~ v6_rlvect_1(U_7519)
| ~ v5_rlvect_1(U_7519)
| ~ v4_rlvect_1(U_7519)
| v3_struct_0(U_7519) ),
inference(variable_rename,[status(thm)],[f_3004_1]) ).
fof(f_3004_3,plain,
( ! [U_7519,U_7518] :
( U_7518 = k1_rlvect_1(U_7519)
| k5_rlvect_1(U_7519,U_7518) != k1_rlvect_1(U_7519)
| ~ sP1361(U_7519,U_7518) )
& ! [U_7519,U_7518] :
( k5_rlvect_1(U_7519,U_7518) = k1_rlvect_1(U_7519)
| U_7518 != k1_rlvect_1(U_7519)
| ~ sP1361(U_7519,U_7518) )
& ! [U_7519,U_7518] :
( sP1361(U_7519,U_7518)
| ~ m1_subset_1(U_7518,u1_struct_0(U_7519))
| ~ l1_rlvect_1(U_7519)
| ~ v6_rlvect_1(U_7519)
| ~ v5_rlvect_1(U_7519)
| ~ v4_rlvect_1(U_7519)
| v3_struct_0(U_7519) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1361])],[f_3004_2]) ).
cnf(f_3004_4,plain,
( sP1361(U_7519,U_7518)
| ~ m1_subset_1(U_7518,u1_struct_0(U_7519))
| ~ l1_rlvect_1(U_7519)
| ~ v6_rlvect_1(U_7519)
| ~ v5_rlvect_1(U_7519)
| ~ v4_rlvect_1(U_7519)
| v3_struct_0(U_7519) ),
inference(clausify,[status(thm)],[f_3004_3]) ).
cnf(f_3004_5,plain,
( k5_rlvect_1(U_7519,U_7518) = k1_rlvect_1(U_7519)
| U_7518 != k1_rlvect_1(U_7519)
| ~ sP1361(U_7519,U_7518) ),
inference(clausify,[status(thm)],[f_3004_3]) ).
cnf(f_3004_6,plain,
( U_7518 = k1_rlvect_1(U_7519)
| k5_rlvect_1(U_7519,U_7518) != k1_rlvect_1(U_7519)
| ~ sP1361(U_7519,U_7518) ),
inference(clausify,[status(thm)],[f_3004_3]) ).
fof(f_3005_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t35_vectsp_2]) ).
fof(f_3005_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3005_1]) ).
cnf(f_3005_3,plain,
$true,
inference(clausify,[status(thm)],[f_3005_2]) ).
fof(f_3006_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_vectsp_2]) ).
fof(f_3006_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3006_1]) ).
cnf(f_3006_3,plain,
$true,
inference(clausify,[status(thm)],[f_3006_2]) ).
fof(f_3007_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t37_vectsp_2]) ).
fof(f_3007_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3007_1]) ).
cnf(f_3007_3,plain,
$true,
inference(clausify,[status(thm)],[f_3007_2]) ).
fof(f_3008_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( B = k4_rlvect_1(A,D,C)
& B = k4_rlvect_1(A,C,D)
& m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t38_vectsp_2]) ).
fof(f_3008_2,plain,
! [U_7523] :
( ! [U_7522] :
( ! [U_7521] :
( ? [U_7520] :
( U_7522 = k4_rlvect_1(U_7523,U_7520,U_7521)
& U_7522 = k4_rlvect_1(U_7523,U_7521,U_7520)
& m1_subset_1(U_7520,u1_struct_0(U_7523)) )
| ~ m1_subset_1(U_7521,u1_struct_0(U_7523)) )
| ~ m1_subset_1(U_7522,u1_struct_0(U_7523)) )
| ~ l1_rlvect_1(U_7523)
| ~ v6_rlvect_1(U_7523)
| ~ v5_rlvect_1(U_7523)
| ~ v4_rlvect_1(U_7523)
| ~ v3_rlvect_1(U_7523)
| v3_struct_0(U_7523) ),
inference(variable_rename,[status(thm)],[f_3008_1]) ).
fof(f_3008_3,plain,
! [U_7523] :
( ! [U_7522] :
( ! [U_7521] :
( ( U_7522 = k4_rlvect_1(U_7523,sK919(U_7523,U_7522,U_7521),U_7521)
& U_7522 = k4_rlvect_1(U_7523,U_7521,sK919(U_7523,U_7522,U_7521))
& m1_subset_1(sK919(U_7523,U_7522,U_7521),u1_struct_0(U_7523)) )
| ~ m1_subset_1(U_7521,u1_struct_0(U_7523)) )
| ~ m1_subset_1(U_7522,u1_struct_0(U_7523)) )
| ~ l1_rlvect_1(U_7523)
| ~ v6_rlvect_1(U_7523)
| ~ v5_rlvect_1(U_7523)
| ~ v4_rlvect_1(U_7523)
| ~ v3_rlvect_1(U_7523)
| v3_struct_0(U_7523) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK919]),skolemize(U_7520,sK919(U_7523,U_7522,U_7521))],[f_3008_2]) ).
fof(f_3008_4,plain,
( ! [U_7521,U_7522,U_7523] :
( U_7522 = k4_rlvect_1(U_7523,sK919(U_7523,U_7522,U_7521),U_7521)
| ~ sP1362(U_7521,U_7522,U_7523) )
& ! [U_7521,U_7522,U_7523] :
( U_7522 = k4_rlvect_1(U_7523,U_7521,sK919(U_7523,U_7522,U_7521))
| ~ sP1362(U_7521,U_7522,U_7523) )
& ! [U_7521,U_7522,U_7523] :
( m1_subset_1(sK919(U_7523,U_7522,U_7521),u1_struct_0(U_7523))
| ~ sP1362(U_7521,U_7522,U_7523) )
& ! [U_7521,U_7522,U_7523] :
( sP1362(U_7521,U_7522,U_7523)
| ~ m1_subset_1(U_7521,u1_struct_0(U_7523))
| ~ m1_subset_1(U_7522,u1_struct_0(U_7523))
| ~ l1_rlvect_1(U_7523)
| ~ v6_rlvect_1(U_7523)
| ~ v5_rlvect_1(U_7523)
| ~ v4_rlvect_1(U_7523)
| ~ v3_rlvect_1(U_7523)
| v3_struct_0(U_7523) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1362])],[f_3008_3]) ).
cnf(f_3008_5,plain,
( sP1362(U_7521,U_7522,U_7523)
| ~ m1_subset_1(U_7521,u1_struct_0(U_7523))
| ~ m1_subset_1(U_7522,u1_struct_0(U_7523))
| ~ l1_rlvect_1(U_7523)
| ~ v6_rlvect_1(U_7523)
| ~ v5_rlvect_1(U_7523)
| ~ v4_rlvect_1(U_7523)
| ~ v3_rlvect_1(U_7523)
| v3_struct_0(U_7523) ),
inference(clausify,[status(thm)],[f_3008_4]) ).
cnf(f_3008_6,plain,
( m1_subset_1(sK919(U_7523,U_7522,U_7521),u1_struct_0(U_7523))
| ~ sP1362(U_7521,U_7522,U_7523) ),
inference(clausify,[status(thm)],[f_3008_4]) ).
cnf(f_3008_7,plain,
( U_7522 = k4_rlvect_1(U_7523,U_7521,sK919(U_7523,U_7522,U_7521))
| ~ sP1362(U_7521,U_7522,U_7523) ),
inference(clausify,[status(thm)],[f_3008_4]) ).
cnf(f_3008_8,plain,
( U_7522 = k4_rlvect_1(U_7523,sK919(U_7523,U_7522,U_7521),U_7521)
| ~ sP1362(U_7521,U_7522,U_7523) ),
inference(clausify,[status(thm)],[f_3008_4]) ).
fof(f_3009_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C != k1_rlvect_1(A)
& B != k1_rlvect_1(A) )
| k1_group_1(A,B,C) != k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t39_vectsp_2]) ).
fof(f_3009_2,plain,
! [U_7526] :
( ! [U_7525] :
( ! [U_7524] :
( ( U_7524 != k1_rlvect_1(U_7526)
& U_7525 != k1_rlvect_1(U_7526) )
| k1_group_1(U_7526,U_7525,U_7524) != k2_group_1(U_7526)
| ~ m1_subset_1(U_7524,u1_struct_0(U_7526)) )
| ~ m1_subset_1(U_7525,u1_struct_0(U_7526)) )
| ~ l3_vectsp_1(U_7526)
| v10_vectsp_1(U_7526)
| ~ v7_vectsp_1(U_7526)
| ~ v6_rlvect_1(U_7526)
| ~ v5_rlvect_1(U_7526)
| ~ v4_rlvect_1(U_7526)
| v3_struct_0(U_7526) ),
inference(variable_rename,[status(thm)],[f_3009_1]) ).
fof(f_3009_3,plain,
( ! [U_7524,U_7525,U_7526] :
( U_7524 != k1_rlvect_1(U_7526)
| ~ sP1363(U_7524,U_7525,U_7526) )
& ! [U_7524,U_7525,U_7526] :
( U_7525 != k1_rlvect_1(U_7526)
| ~ sP1363(U_7524,U_7525,U_7526) )
& ! [U_7524,U_7525,U_7526] :
( sP1363(U_7524,U_7525,U_7526)
| k1_group_1(U_7526,U_7525,U_7524) != k2_group_1(U_7526)
| ~ m1_subset_1(U_7524,u1_struct_0(U_7526))
| ~ m1_subset_1(U_7525,u1_struct_0(U_7526))
| ~ l3_vectsp_1(U_7526)
| v10_vectsp_1(U_7526)
| ~ v7_vectsp_1(U_7526)
| ~ v6_rlvect_1(U_7526)
| ~ v5_rlvect_1(U_7526)
| ~ v4_rlvect_1(U_7526)
| v3_struct_0(U_7526) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1363])],[f_3009_2]) ).
cnf(f_3009_4,plain,
( sP1363(U_7524,U_7525,U_7526)
| k1_group_1(U_7526,U_7525,U_7524) != k2_group_1(U_7526)
| ~ m1_subset_1(U_7524,u1_struct_0(U_7526))
| ~ m1_subset_1(U_7525,u1_struct_0(U_7526))
| ~ l3_vectsp_1(U_7526)
| v10_vectsp_1(U_7526)
| ~ v7_vectsp_1(U_7526)
| ~ v6_rlvect_1(U_7526)
| ~ v5_rlvect_1(U_7526)
| ~ v4_rlvect_1(U_7526)
| v3_struct_0(U_7526) ),
inference(clausify,[status(thm)],[f_3009_3]) ).
cnf(f_3009_5,plain,
( U_7525 != k1_rlvect_1(U_7526)
| ~ sP1363(U_7524,U_7525,U_7526) ),
inference(clausify,[status(thm)],[f_3009_3]) ).
cnf(f_3009_6,plain,
( U_7524 != k1_rlvect_1(U_7526)
| ~ sP1363(U_7524,U_7525,U_7526) ),
inference(clausify,[status(thm)],[f_3009_3]) ).
fof(f_3010_1,plain,
! [A] :
( ! [B] :
( ? [C] :
( k1_group_1(A,C,B) = k2_group_1(A)
& m1_subset_1(C,u1_struct_0(A)) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_vectsp_2]) ).
fof(f_3010_2,plain,
! [U_7529] :
( ! [U_7528] :
( ? [U_7527] :
( k1_group_1(U_7529,U_7527,U_7528) = k2_group_1(U_7529)
& m1_subset_1(U_7527,u1_struct_0(U_7529)) )
| U_7528 = k1_rlvect_1(U_7529)
| ~ m1_subset_1(U_7528,u1_struct_0(U_7529)) )
| ~ l3_vectsp_1(U_7529)
| v10_vectsp_1(U_7529)
| ~ v9_vectsp_1(U_7529)
| ~ v8_vectsp_1(U_7529)
| ~ v7_vectsp_1(U_7529)
| ~ v6_vectsp_1(U_7529)
| ~ v4_group_1(U_7529)
| ~ v6_rlvect_1(U_7529)
| ~ v5_rlvect_1(U_7529)
| ~ v4_rlvect_1(U_7529)
| ~ v3_rlvect_1(U_7529)
| v3_struct_0(U_7529) ),
inference(variable_rename,[status(thm)],[f_3010_1]) ).
fof(f_3010_3,plain,
! [U_7529] :
( ! [U_7528] :
( ( k1_group_1(U_7529,sK920(U_7529,U_7528),U_7528) = k2_group_1(U_7529)
& m1_subset_1(sK920(U_7529,U_7528),u1_struct_0(U_7529)) )
| U_7528 = k1_rlvect_1(U_7529)
| ~ m1_subset_1(U_7528,u1_struct_0(U_7529)) )
| ~ l3_vectsp_1(U_7529)
| v10_vectsp_1(U_7529)
| ~ v9_vectsp_1(U_7529)
| ~ v8_vectsp_1(U_7529)
| ~ v7_vectsp_1(U_7529)
| ~ v6_vectsp_1(U_7529)
| ~ v4_group_1(U_7529)
| ~ v6_rlvect_1(U_7529)
| ~ v5_rlvect_1(U_7529)
| ~ v4_rlvect_1(U_7529)
| ~ v3_rlvect_1(U_7529)
| v3_struct_0(U_7529) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK920]),skolemize(U_7527,sK920(U_7529,U_7528))],[f_3010_2]) ).
fof(f_3010_4,plain,
( ! [U_7528,U_7529] :
( k1_group_1(U_7529,sK920(U_7529,U_7528),U_7528) = k2_group_1(U_7529)
| ~ sP1364(U_7528,U_7529) )
& ! [U_7528,U_7529] :
( m1_subset_1(sK920(U_7529,U_7528),u1_struct_0(U_7529))
| ~ sP1364(U_7528,U_7529) )
& ! [U_7528,U_7529] :
( sP1364(U_7528,U_7529)
| U_7528 = k1_rlvect_1(U_7529)
| ~ m1_subset_1(U_7528,u1_struct_0(U_7529))
| ~ l3_vectsp_1(U_7529)
| v10_vectsp_1(U_7529)
| ~ v9_vectsp_1(U_7529)
| ~ v8_vectsp_1(U_7529)
| ~ v7_vectsp_1(U_7529)
| ~ v6_vectsp_1(U_7529)
| ~ v4_group_1(U_7529)
| ~ v6_rlvect_1(U_7529)
| ~ v5_rlvect_1(U_7529)
| ~ v4_rlvect_1(U_7529)
| ~ v3_rlvect_1(U_7529)
| v3_struct_0(U_7529) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1364])],[f_3010_3]) ).
cnf(f_3010_5,plain,
( sP1364(U_7528,U_7529)
| U_7528 = k1_rlvect_1(U_7529)
| ~ m1_subset_1(U_7528,u1_struct_0(U_7529))
| ~ l3_vectsp_1(U_7529)
| v10_vectsp_1(U_7529)
| ~ v9_vectsp_1(U_7529)
| ~ v8_vectsp_1(U_7529)
| ~ v7_vectsp_1(U_7529)
| ~ v6_vectsp_1(U_7529)
| ~ v4_group_1(U_7529)
| ~ v6_rlvect_1(U_7529)
| ~ v5_rlvect_1(U_7529)
| ~ v4_rlvect_1(U_7529)
| ~ v3_rlvect_1(U_7529)
| v3_struct_0(U_7529) ),
inference(clausify,[status(thm)],[f_3010_4]) ).
cnf(f_3010_6,plain,
( m1_subset_1(sK920(U_7529,U_7528),u1_struct_0(U_7529))
| ~ sP1364(U_7528,U_7529) ),
inference(clausify,[status(thm)],[f_3010_4]) ).
cnf(f_3010_7,plain,
( k1_group_1(U_7529,sK920(U_7529,U_7528),U_7528) = k2_group_1(U_7529)
| ~ sP1364(U_7528,U_7529) ),
inference(clausify,[status(thm)],[f_3010_4]) ).
fof(f_3011_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,C,B) = k2_group_1(A)
| k1_group_1(A,B,C) != k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_vectsp_2]) ).
fof(f_3011_2,plain,
! [U_7532] :
( ! [U_7531] :
( ! [U_7530] :
( k1_group_1(U_7532,U_7530,U_7531) = k2_group_1(U_7532)
| k1_group_1(U_7532,U_7531,U_7530) != k2_group_1(U_7532)
| ~ m1_subset_1(U_7530,u1_struct_0(U_7532)) )
| ~ m1_subset_1(U_7531,u1_struct_0(U_7532)) )
| ~ l3_vectsp_1(U_7532)
| v10_vectsp_1(U_7532)
| ~ v9_vectsp_1(U_7532)
| ~ v8_vectsp_1(U_7532)
| ~ v7_vectsp_1(U_7532)
| ~ v6_vectsp_1(U_7532)
| ~ v4_group_1(U_7532)
| ~ v6_rlvect_1(U_7532)
| ~ v5_rlvect_1(U_7532)
| ~ v4_rlvect_1(U_7532)
| ~ v3_rlvect_1(U_7532)
| v3_struct_0(U_7532) ),
inference(variable_rename,[status(thm)],[f_3011_1]) ).
fof(f_3011_3,plain,
! [U_7530,U_7532,U_7531] :
( k1_group_1(U_7532,U_7530,U_7531) = k2_group_1(U_7532)
| k1_group_1(U_7532,U_7531,U_7530) != k2_group_1(U_7532)
| ~ m1_subset_1(U_7530,u1_struct_0(U_7532))
| ~ m1_subset_1(U_7531,u1_struct_0(U_7532))
| ~ l3_vectsp_1(U_7532)
| v10_vectsp_1(U_7532)
| ~ v9_vectsp_1(U_7532)
| ~ v8_vectsp_1(U_7532)
| ~ v7_vectsp_1(U_7532)
| ~ v6_vectsp_1(U_7532)
| ~ v4_group_1(U_7532)
| ~ v6_rlvect_1(U_7532)
| ~ v5_rlvect_1(U_7532)
| ~ v4_rlvect_1(U_7532)
| ~ v3_rlvect_1(U_7532)
| v3_struct_0(U_7532) ),
inference(definitional_conversion,[status(esa)],[f_3011_2]) ).
cnf(f_3011_4,plain,
( k1_group_1(U_7532,U_7530,U_7531) = k2_group_1(U_7532)
| k1_group_1(U_7532,U_7531,U_7530) != k2_group_1(U_7532)
| ~ m1_subset_1(U_7530,u1_struct_0(U_7532))
| ~ m1_subset_1(U_7531,u1_struct_0(U_7532))
| ~ l3_vectsp_1(U_7532)
| v10_vectsp_1(U_7532)
| ~ v9_vectsp_1(U_7532)
| ~ v8_vectsp_1(U_7532)
| ~ v7_vectsp_1(U_7532)
| ~ v6_vectsp_1(U_7532)
| ~ v4_group_1(U_7532)
| ~ v6_rlvect_1(U_7532)
| ~ v5_rlvect_1(U_7532)
| ~ v4_rlvect_1(U_7532)
| ~ v3_rlvect_1(U_7532)
| v3_struct_0(U_7532) ),
inference(clausify,[status(thm)],[f_3011_3]) ).
fof(f_3012_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| B = k1_rlvect_1(A)
| k1_group_1(A,B,C) != k1_group_1(A,B,D)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v2_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_vectsp_2]) ).
fof(f_3012_2,plain,
! [U_7536] :
( ! [U_7535] :
( ! [U_7534] :
( ! [U_7533] :
( U_7534 = U_7533
| U_7535 = k1_rlvect_1(U_7536)
| k1_group_1(U_7536,U_7535,U_7534) != k1_group_1(U_7536,U_7535,U_7533)
| ~ m1_subset_1(U_7533,u1_struct_0(U_7536)) )
| ~ m1_subset_1(U_7534,u1_struct_0(U_7536)) )
| ~ m1_subset_1(U_7535,u1_struct_0(U_7536)) )
| ~ l3_vectsp_1(U_7536)
| v10_vectsp_1(U_7536)
| ~ v9_vectsp_1(U_7536)
| ~ v7_vectsp_1(U_7536)
| ~ v4_group_1(U_7536)
| ~ v2_group_1(U_7536)
| ~ v6_rlvect_1(U_7536)
| ~ v5_rlvect_1(U_7536)
| ~ v4_rlvect_1(U_7536)
| ~ v3_rlvect_1(U_7536)
| v3_struct_0(U_7536) ),
inference(variable_rename,[status(thm)],[f_3012_1]) ).
fof(f_3012_3,plain,
! [U_7534,U_7533,U_7535,U_7536] :
( U_7534 = U_7533
| U_7535 = k1_rlvect_1(U_7536)
| k1_group_1(U_7536,U_7535,U_7534) != k1_group_1(U_7536,U_7535,U_7533)
| ~ m1_subset_1(U_7533,u1_struct_0(U_7536))
| ~ m1_subset_1(U_7534,u1_struct_0(U_7536))
| ~ m1_subset_1(U_7535,u1_struct_0(U_7536))
| ~ l3_vectsp_1(U_7536)
| v10_vectsp_1(U_7536)
| ~ v9_vectsp_1(U_7536)
| ~ v7_vectsp_1(U_7536)
| ~ v4_group_1(U_7536)
| ~ v2_group_1(U_7536)
| ~ v6_rlvect_1(U_7536)
| ~ v5_rlvect_1(U_7536)
| ~ v4_rlvect_1(U_7536)
| ~ v3_rlvect_1(U_7536)
| v3_struct_0(U_7536) ),
inference(definitional_conversion,[status(esa)],[f_3012_2]) ).
cnf(f_3012_4,plain,
( U_7534 = U_7533
| U_7535 = k1_rlvect_1(U_7536)
| k1_group_1(U_7536,U_7535,U_7534) != k1_group_1(U_7536,U_7535,U_7533)
| ~ m1_subset_1(U_7533,u1_struct_0(U_7536))
| ~ m1_subset_1(U_7534,u1_struct_0(U_7536))
| ~ m1_subset_1(U_7535,u1_struct_0(U_7536))
| ~ l3_vectsp_1(U_7536)
| v10_vectsp_1(U_7536)
| ~ v9_vectsp_1(U_7536)
| ~ v7_vectsp_1(U_7536)
| ~ v4_group_1(U_7536)
| ~ v2_group_1(U_7536)
| ~ v6_rlvect_1(U_7536)
| ~ v5_rlvect_1(U_7536)
| ~ v4_rlvect_1(U_7536)
| ~ v3_rlvect_1(U_7536)
| v3_struct_0(U_7536) ),
inference(clausify,[status(thm)],[f_3012_3]) ).
fof(f_3013_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d6_vectsp_2]) ).
fof(f_3013_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3013_1]) ).
cnf(f_3013_3,plain,
$true,
inference(clausify,[status(thm)],[f_3013_2]) ).
fof(f_3014_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k1_vectsp_2(A,B)
| k1_group_1(A,B,C) != k2_group_1(A) )
& ( k1_group_1(A,B,C) = k2_group_1(A)
| C != k1_vectsp_2(A,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v2_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d7_vectsp_2]) ).
fof(f_3014_2,plain,
! [U_7539] :
( ! [U_7538] :
( ! [U_7537] :
( ( ( U_7537 = k1_vectsp_2(U_7539,U_7538)
| k1_group_1(U_7539,U_7538,U_7537) != k2_group_1(U_7539) )
& ( k1_group_1(U_7539,U_7538,U_7537) = k2_group_1(U_7539)
| U_7537 != k1_vectsp_2(U_7539,U_7538) ) )
| ~ m1_subset_1(U_7537,u1_struct_0(U_7539)) )
| U_7538 = k1_rlvect_1(U_7539)
| ~ m1_subset_1(U_7538,u1_struct_0(U_7539)) )
| ~ l3_vectsp_1(U_7539)
| v10_vectsp_1(U_7539)
| ~ v9_vectsp_1(U_7539)
| ~ v7_vectsp_1(U_7539)
| ~ v4_group_1(U_7539)
| ~ v2_group_1(U_7539)
| ~ v6_rlvect_1(U_7539)
| ~ v5_rlvect_1(U_7539)
| ~ v4_rlvect_1(U_7539)
| ~ v3_rlvect_1(U_7539)
| v3_struct_0(U_7539) ),
inference(variable_rename,[status(thm)],[f_3014_1]) ).
fof(f_3014_3,plain,
( ! [U_7539,U_7537,U_7538] :
( U_7537 = k1_vectsp_2(U_7539,U_7538)
| k1_group_1(U_7539,U_7538,U_7537) != k2_group_1(U_7539)
| ~ sP1365(U_7539,U_7537,U_7538) )
& ! [U_7539,U_7537,U_7538] :
( k1_group_1(U_7539,U_7538,U_7537) = k2_group_1(U_7539)
| U_7537 != k1_vectsp_2(U_7539,U_7538)
| ~ sP1365(U_7539,U_7537,U_7538) )
& ! [U_7539,U_7537,U_7538] :
( sP1365(U_7539,U_7537,U_7538)
| ~ m1_subset_1(U_7537,u1_struct_0(U_7539))
| U_7538 = k1_rlvect_1(U_7539)
| ~ m1_subset_1(U_7538,u1_struct_0(U_7539))
| ~ l3_vectsp_1(U_7539)
| v10_vectsp_1(U_7539)
| ~ v9_vectsp_1(U_7539)
| ~ v7_vectsp_1(U_7539)
| ~ v4_group_1(U_7539)
| ~ v2_group_1(U_7539)
| ~ v6_rlvect_1(U_7539)
| ~ v5_rlvect_1(U_7539)
| ~ v4_rlvect_1(U_7539)
| ~ v3_rlvect_1(U_7539)
| v3_struct_0(U_7539) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1365])],[f_3014_2]) ).
cnf(f_3014_4,plain,
( sP1365(U_7539,U_7537,U_7538)
| ~ m1_subset_1(U_7537,u1_struct_0(U_7539))
| U_7538 = k1_rlvect_1(U_7539)
| ~ m1_subset_1(U_7538,u1_struct_0(U_7539))
| ~ l3_vectsp_1(U_7539)
| v10_vectsp_1(U_7539)
| ~ v9_vectsp_1(U_7539)
| ~ v7_vectsp_1(U_7539)
| ~ v4_group_1(U_7539)
| ~ v2_group_1(U_7539)
| ~ v6_rlvect_1(U_7539)
| ~ v5_rlvect_1(U_7539)
| ~ v4_rlvect_1(U_7539)
| ~ v3_rlvect_1(U_7539)
| v3_struct_0(U_7539) ),
inference(clausify,[status(thm)],[f_3014_3]) ).
cnf(f_3014_5,plain,
( k1_group_1(U_7539,U_7538,U_7537) = k2_group_1(U_7539)
| U_7537 != k1_vectsp_2(U_7539,U_7538)
| ~ sP1365(U_7539,U_7537,U_7538) ),
inference(clausify,[status(thm)],[f_3014_3]) ).
cnf(f_3014_6,plain,
( U_7537 = k1_vectsp_2(U_7539,U_7538)
| k1_group_1(U_7539,U_7538,U_7537) != k2_group_1(U_7539)
| ~ sP1365(U_7539,U_7537,U_7538) ),
inference(clausify,[status(thm)],[f_3014_3]) ).
fof(f_3015_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_vectsp_2(A,B,C) = k1_group_1(A,B,k1_vectsp_2(A,C))
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d8_vectsp_2]) ).
fof(f_3015_2,plain,
! [U_7542] :
( ! [U_7541] :
( ! [U_7540] :
( k2_vectsp_2(U_7542,U_7541,U_7540) = k1_group_1(U_7542,U_7541,k1_vectsp_2(U_7542,U_7540))
| ~ m1_subset_1(U_7540,u1_struct_0(U_7542)) )
| ~ m1_subset_1(U_7541,u1_struct_0(U_7542)) )
| ~ l3_vectsp_1(U_7542)
| v10_vectsp_1(U_7542)
| ~ v9_vectsp_1(U_7542)
| ~ v8_vectsp_1(U_7542)
| ~ v7_vectsp_1(U_7542)
| ~ v6_vectsp_1(U_7542)
| ~ v4_group_1(U_7542)
| ~ v6_rlvect_1(U_7542)
| ~ v5_rlvect_1(U_7542)
| ~ v4_rlvect_1(U_7542)
| ~ v3_rlvect_1(U_7542)
| v3_struct_0(U_7542) ),
inference(variable_rename,[status(thm)],[f_3015_1]) ).
fof(f_3015_3,plain,
! [U_7540,U_7541,U_7542] :
( k2_vectsp_2(U_7542,U_7541,U_7540) = k1_group_1(U_7542,U_7541,k1_vectsp_2(U_7542,U_7540))
| ~ m1_subset_1(U_7540,u1_struct_0(U_7542))
| ~ m1_subset_1(U_7541,u1_struct_0(U_7542))
| ~ l3_vectsp_1(U_7542)
| v10_vectsp_1(U_7542)
| ~ v9_vectsp_1(U_7542)
| ~ v8_vectsp_1(U_7542)
| ~ v7_vectsp_1(U_7542)
| ~ v6_vectsp_1(U_7542)
| ~ v4_group_1(U_7542)
| ~ v6_rlvect_1(U_7542)
| ~ v5_rlvect_1(U_7542)
| ~ v4_rlvect_1(U_7542)
| ~ v3_rlvect_1(U_7542)
| v3_struct_0(U_7542) ),
inference(definitional_conversion,[status(esa)],[f_3015_2]) ).
cnf(f_3015_4,plain,
( k2_vectsp_2(U_7542,U_7541,U_7540) = k1_group_1(U_7542,U_7541,k1_vectsp_2(U_7542,U_7540))
| ~ m1_subset_1(U_7540,u1_struct_0(U_7542))
| ~ m1_subset_1(U_7541,u1_struct_0(U_7542))
| ~ l3_vectsp_1(U_7542)
| v10_vectsp_1(U_7542)
| ~ v9_vectsp_1(U_7542)
| ~ v8_vectsp_1(U_7542)
| ~ v7_vectsp_1(U_7542)
| ~ v6_vectsp_1(U_7542)
| ~ v4_group_1(U_7542)
| ~ v6_rlvect_1(U_7542)
| ~ v5_rlvect_1(U_7542)
| ~ v4_rlvect_1(U_7542)
| ~ v3_rlvect_1(U_7542)
| v3_struct_0(U_7542) ),
inference(clausify,[status(thm)],[f_3015_3]) ).
fof(f_3016_1,plain,
! [A] :
( ! [B] :
( ( k1_group_1(A,k1_vectsp_2(A,B),B) = k2_group_1(A)
& k1_group_1(A,B,k1_vectsp_2(A,B)) = k2_group_1(A) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_vectsp_2]) ).
fof(f_3016_2,plain,
! [U_7544] :
( ! [U_7543] :
( ( k1_group_1(U_7544,k1_vectsp_2(U_7544,U_7543),U_7543) = k2_group_1(U_7544)
& k1_group_1(U_7544,U_7543,k1_vectsp_2(U_7544,U_7543)) = k2_group_1(U_7544) )
| U_7543 = k1_rlvect_1(U_7544)
| ~ m1_subset_1(U_7543,u1_struct_0(U_7544)) )
| ~ l3_vectsp_1(U_7544)
| v10_vectsp_1(U_7544)
| ~ v9_vectsp_1(U_7544)
| ~ v8_vectsp_1(U_7544)
| ~ v7_vectsp_1(U_7544)
| ~ v6_vectsp_1(U_7544)
| ~ v4_group_1(U_7544)
| ~ v6_rlvect_1(U_7544)
| ~ v5_rlvect_1(U_7544)
| ~ v4_rlvect_1(U_7544)
| ~ v3_rlvect_1(U_7544)
| v3_struct_0(U_7544) ),
inference(variable_rename,[status(thm)],[f_3016_1]) ).
fof(f_3016_3,plain,
( ! [U_7544,U_7543] :
( k1_group_1(U_7544,k1_vectsp_2(U_7544,U_7543),U_7543) = k2_group_1(U_7544)
| ~ sP1366(U_7544,U_7543) )
& ! [U_7544,U_7543] :
( k1_group_1(U_7544,U_7543,k1_vectsp_2(U_7544,U_7543)) = k2_group_1(U_7544)
| ~ sP1366(U_7544,U_7543) )
& ! [U_7544,U_7543] :
( sP1366(U_7544,U_7543)
| U_7543 = k1_rlvect_1(U_7544)
| ~ m1_subset_1(U_7543,u1_struct_0(U_7544))
| ~ l3_vectsp_1(U_7544)
| v10_vectsp_1(U_7544)
| ~ v9_vectsp_1(U_7544)
| ~ v8_vectsp_1(U_7544)
| ~ v7_vectsp_1(U_7544)
| ~ v6_vectsp_1(U_7544)
| ~ v4_group_1(U_7544)
| ~ v6_rlvect_1(U_7544)
| ~ v5_rlvect_1(U_7544)
| ~ v4_rlvect_1(U_7544)
| ~ v3_rlvect_1(U_7544)
| v3_struct_0(U_7544) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1366])],[f_3016_2]) ).
cnf(f_3016_4,plain,
( sP1366(U_7544,U_7543)
| U_7543 = k1_rlvect_1(U_7544)
| ~ m1_subset_1(U_7543,u1_struct_0(U_7544))
| ~ l3_vectsp_1(U_7544)
| v10_vectsp_1(U_7544)
| ~ v9_vectsp_1(U_7544)
| ~ v8_vectsp_1(U_7544)
| ~ v7_vectsp_1(U_7544)
| ~ v6_vectsp_1(U_7544)
| ~ v4_group_1(U_7544)
| ~ v6_rlvect_1(U_7544)
| ~ v5_rlvect_1(U_7544)
| ~ v4_rlvect_1(U_7544)
| ~ v3_rlvect_1(U_7544)
| v3_struct_0(U_7544) ),
inference(clausify,[status(thm)],[f_3016_3]) ).
cnf(f_3016_5,plain,
( k1_group_1(U_7544,U_7543,k1_vectsp_2(U_7544,U_7543)) = k2_group_1(U_7544)
| ~ sP1366(U_7544,U_7543) ),
inference(clausify,[status(thm)],[f_3016_3]) ).
cnf(f_3016_6,plain,
( k1_group_1(U_7544,k1_vectsp_2(U_7544,U_7543),U_7543) = k2_group_1(U_7544)
| ~ sP1366(U_7544,U_7543) ),
inference(clausify,[status(thm)],[f_3016_3]) ).
fof(f_3017_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t44_vectsp_2]) ).
fof(f_3017_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3017_1]) ).
cnf(f_3017_3,plain,
$true,
inference(clausify,[status(thm)],[f_3017_2]) ).
fof(f_3018_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k1_vectsp_2(A,B)
& B = k1_vectsp_2(A,C) )
| k1_group_1(A,B,C) != k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t45_vectsp_2]) ).
fof(f_3018_2,plain,
! [U_7547] :
( ! [U_7546] :
( ! [U_7545] :
( ( U_7545 = k1_vectsp_2(U_7547,U_7546)
& U_7546 = k1_vectsp_2(U_7547,U_7545) )
| k1_group_1(U_7547,U_7546,U_7545) != k2_group_1(U_7547)
| ~ m1_subset_1(U_7545,u1_struct_0(U_7547)) )
| ~ m1_subset_1(U_7546,u1_struct_0(U_7547)) )
| ~ l3_vectsp_1(U_7547)
| v10_vectsp_1(U_7547)
| ~ v9_vectsp_1(U_7547)
| ~ v8_vectsp_1(U_7547)
| ~ v7_vectsp_1(U_7547)
| ~ v6_vectsp_1(U_7547)
| ~ v4_group_1(U_7547)
| ~ v6_rlvect_1(U_7547)
| ~ v5_rlvect_1(U_7547)
| ~ v4_rlvect_1(U_7547)
| ~ v3_rlvect_1(U_7547)
| v3_struct_0(U_7547) ),
inference(variable_rename,[status(thm)],[f_3018_1]) ).
fof(f_3018_3,plain,
( ! [U_7546,U_7547,U_7545] :
( U_7545 = k1_vectsp_2(U_7547,U_7546)
| ~ sP1367(U_7546,U_7547,U_7545) )
& ! [U_7546,U_7547,U_7545] :
( U_7546 = k1_vectsp_2(U_7547,U_7545)
| ~ sP1367(U_7546,U_7547,U_7545) )
& ! [U_7546,U_7547,U_7545] :
( sP1367(U_7546,U_7547,U_7545)
| k1_group_1(U_7547,U_7546,U_7545) != k2_group_1(U_7547)
| ~ m1_subset_1(U_7545,u1_struct_0(U_7547))
| ~ m1_subset_1(U_7546,u1_struct_0(U_7547))
| ~ l3_vectsp_1(U_7547)
| v10_vectsp_1(U_7547)
| ~ v9_vectsp_1(U_7547)
| ~ v8_vectsp_1(U_7547)
| ~ v7_vectsp_1(U_7547)
| ~ v6_vectsp_1(U_7547)
| ~ v4_group_1(U_7547)
| ~ v6_rlvect_1(U_7547)
| ~ v5_rlvect_1(U_7547)
| ~ v4_rlvect_1(U_7547)
| ~ v3_rlvect_1(U_7547)
| v3_struct_0(U_7547) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1367])],[f_3018_2]) ).
cnf(f_3018_4,plain,
( sP1367(U_7546,U_7547,U_7545)
| k1_group_1(U_7547,U_7546,U_7545) != k2_group_1(U_7547)
| ~ m1_subset_1(U_7545,u1_struct_0(U_7547))
| ~ m1_subset_1(U_7546,u1_struct_0(U_7547))
| ~ l3_vectsp_1(U_7547)
| v10_vectsp_1(U_7547)
| ~ v9_vectsp_1(U_7547)
| ~ v8_vectsp_1(U_7547)
| ~ v7_vectsp_1(U_7547)
| ~ v6_vectsp_1(U_7547)
| ~ v4_group_1(U_7547)
| ~ v6_rlvect_1(U_7547)
| ~ v5_rlvect_1(U_7547)
| ~ v4_rlvect_1(U_7547)
| ~ v3_rlvect_1(U_7547)
| v3_struct_0(U_7547) ),
inference(clausify,[status(thm)],[f_3018_3]) ).
cnf(f_3018_5,plain,
( U_7546 = k1_vectsp_2(U_7547,U_7545)
| ~ sP1367(U_7546,U_7547,U_7545) ),
inference(clausify,[status(thm)],[f_3018_3]) ).
cnf(f_3018_6,plain,
( U_7545 = k1_vectsp_2(U_7547,U_7546)
| ~ sP1367(U_7546,U_7547,U_7545) ),
inference(clausify,[status(thm)],[f_3018_3]) ).
fof(f_3019_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,k1_vectsp_2(A,B),k1_vectsp_2(A,C)) = k1_vectsp_2(A,k1_group_1(A,C,B))
| C = k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t46_vectsp_2]) ).
fof(f_3019_2,plain,
! [U_7550] :
( ! [U_7549] :
( ! [U_7548] :
( k1_group_1(U_7550,k1_vectsp_2(U_7550,U_7549),k1_vectsp_2(U_7550,U_7548)) = k1_vectsp_2(U_7550,k1_group_1(U_7550,U_7548,U_7549))
| U_7548 = k1_rlvect_1(U_7550)
| U_7549 = k1_rlvect_1(U_7550)
| ~ m1_subset_1(U_7548,u1_struct_0(U_7550)) )
| ~ m1_subset_1(U_7549,u1_struct_0(U_7550)) )
| ~ l3_vectsp_1(U_7550)
| v10_vectsp_1(U_7550)
| ~ v9_vectsp_1(U_7550)
| ~ v8_vectsp_1(U_7550)
| ~ v7_vectsp_1(U_7550)
| ~ v6_vectsp_1(U_7550)
| ~ v4_group_1(U_7550)
| ~ v6_rlvect_1(U_7550)
| ~ v5_rlvect_1(U_7550)
| ~ v4_rlvect_1(U_7550)
| ~ v3_rlvect_1(U_7550)
| v3_struct_0(U_7550) ),
inference(variable_rename,[status(thm)],[f_3019_1]) ).
fof(f_3019_3,plain,
! [U_7549,U_7548,U_7550] :
( k1_group_1(U_7550,k1_vectsp_2(U_7550,U_7549),k1_vectsp_2(U_7550,U_7548)) = k1_vectsp_2(U_7550,k1_group_1(U_7550,U_7548,U_7549))
| U_7548 = k1_rlvect_1(U_7550)
| U_7549 = k1_rlvect_1(U_7550)
| ~ m1_subset_1(U_7548,u1_struct_0(U_7550))
| ~ m1_subset_1(U_7549,u1_struct_0(U_7550))
| ~ l3_vectsp_1(U_7550)
| v10_vectsp_1(U_7550)
| ~ v9_vectsp_1(U_7550)
| ~ v8_vectsp_1(U_7550)
| ~ v7_vectsp_1(U_7550)
| ~ v6_vectsp_1(U_7550)
| ~ v4_group_1(U_7550)
| ~ v6_rlvect_1(U_7550)
| ~ v5_rlvect_1(U_7550)
| ~ v4_rlvect_1(U_7550)
| ~ v3_rlvect_1(U_7550)
| v3_struct_0(U_7550) ),
inference(definitional_conversion,[status(esa)],[f_3019_2]) ).
cnf(f_3019_4,plain,
( k1_group_1(U_7550,k1_vectsp_2(U_7550,U_7549),k1_vectsp_2(U_7550,U_7548)) = k1_vectsp_2(U_7550,k1_group_1(U_7550,U_7548,U_7549))
| U_7548 = k1_rlvect_1(U_7550)
| U_7549 = k1_rlvect_1(U_7550)
| ~ m1_subset_1(U_7548,u1_struct_0(U_7550))
| ~ m1_subset_1(U_7549,u1_struct_0(U_7550))
| ~ l3_vectsp_1(U_7550)
| v10_vectsp_1(U_7550)
| ~ v9_vectsp_1(U_7550)
| ~ v8_vectsp_1(U_7550)
| ~ v7_vectsp_1(U_7550)
| ~ v6_vectsp_1(U_7550)
| ~ v4_group_1(U_7550)
| ~ v6_rlvect_1(U_7550)
| ~ v5_rlvect_1(U_7550)
| ~ v4_rlvect_1(U_7550)
| ~ v3_rlvect_1(U_7550)
| v3_struct_0(U_7550) ),
inference(clausify,[status(thm)],[f_3019_3]) ).
fof(f_3020_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| k1_group_1(A,B,C) != k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_vectsp_2]) ).
fof(f_3020_2,plain,
! [U_7553] :
( ! [U_7552] :
( ! [U_7551] :
( U_7551 = k1_rlvect_1(U_7553)
| U_7552 = k1_rlvect_1(U_7553)
| k1_group_1(U_7553,U_7552,U_7551) != k1_rlvect_1(U_7553)
| ~ m1_subset_1(U_7551,u1_struct_0(U_7553)) )
| ~ m1_subset_1(U_7552,u1_struct_0(U_7553)) )
| ~ l3_vectsp_1(U_7553)
| v10_vectsp_1(U_7553)
| ~ v9_vectsp_1(U_7553)
| ~ v8_vectsp_1(U_7553)
| ~ v7_vectsp_1(U_7553)
| ~ v6_vectsp_1(U_7553)
| ~ v4_group_1(U_7553)
| ~ v6_rlvect_1(U_7553)
| ~ v5_rlvect_1(U_7553)
| ~ v4_rlvect_1(U_7553)
| ~ v3_rlvect_1(U_7553)
| v3_struct_0(U_7553) ),
inference(variable_rename,[status(thm)],[f_3020_1]) ).
fof(f_3020_3,plain,
! [U_7553,U_7552,U_7551] :
( U_7551 = k1_rlvect_1(U_7553)
| U_7552 = k1_rlvect_1(U_7553)
| k1_group_1(U_7553,U_7552,U_7551) != k1_rlvect_1(U_7553)
| ~ m1_subset_1(U_7551,u1_struct_0(U_7553))
| ~ m1_subset_1(U_7552,u1_struct_0(U_7553))
| ~ l3_vectsp_1(U_7553)
| v10_vectsp_1(U_7553)
| ~ v9_vectsp_1(U_7553)
| ~ v8_vectsp_1(U_7553)
| ~ v7_vectsp_1(U_7553)
| ~ v6_vectsp_1(U_7553)
| ~ v4_group_1(U_7553)
| ~ v6_rlvect_1(U_7553)
| ~ v5_rlvect_1(U_7553)
| ~ v4_rlvect_1(U_7553)
| ~ v3_rlvect_1(U_7553)
| v3_struct_0(U_7553) ),
inference(definitional_conversion,[status(esa)],[f_3020_2]) ).
cnf(f_3020_4,plain,
( U_7551 = k1_rlvect_1(U_7553)
| U_7552 = k1_rlvect_1(U_7553)
| k1_group_1(U_7553,U_7552,U_7551) != k1_rlvect_1(U_7553)
| ~ m1_subset_1(U_7551,u1_struct_0(U_7553))
| ~ m1_subset_1(U_7552,u1_struct_0(U_7553))
| ~ l3_vectsp_1(U_7553)
| v10_vectsp_1(U_7553)
| ~ v9_vectsp_1(U_7553)
| ~ v8_vectsp_1(U_7553)
| ~ v7_vectsp_1(U_7553)
| ~ v6_vectsp_1(U_7553)
| ~ v4_group_1(U_7553)
| ~ v6_rlvect_1(U_7553)
| ~ v5_rlvect_1(U_7553)
| ~ v4_rlvect_1(U_7553)
| ~ v3_rlvect_1(U_7553)
| v3_struct_0(U_7553) ),
inference(clausify,[status(thm)],[f_3020_3]) ).
fof(f_3021_1,plain,
! [A] :
( ! [B] :
( k1_vectsp_2(A,B) != k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t48_vectsp_2]) ).
fof(f_3021_2,plain,
! [U_7555] :
( ! [U_7554] :
( k1_vectsp_2(U_7555,U_7554) != k1_rlvect_1(U_7555)
| U_7554 = k1_rlvect_1(U_7555)
| ~ m1_subset_1(U_7554,u1_struct_0(U_7555)) )
| ~ l3_vectsp_1(U_7555)
| v10_vectsp_1(U_7555)
| ~ v9_vectsp_1(U_7555)
| ~ v8_vectsp_1(U_7555)
| ~ v7_vectsp_1(U_7555)
| ~ v6_vectsp_1(U_7555)
| ~ v4_group_1(U_7555)
| ~ v6_rlvect_1(U_7555)
| ~ v5_rlvect_1(U_7555)
| ~ v4_rlvect_1(U_7555)
| ~ v3_rlvect_1(U_7555)
| v3_struct_0(U_7555) ),
inference(variable_rename,[status(thm)],[f_3021_1]) ).
fof(f_3021_3,plain,
! [U_7554,U_7555] :
( k1_vectsp_2(U_7555,U_7554) != k1_rlvect_1(U_7555)
| U_7554 = k1_rlvect_1(U_7555)
| ~ m1_subset_1(U_7554,u1_struct_0(U_7555))
| ~ l3_vectsp_1(U_7555)
| v10_vectsp_1(U_7555)
| ~ v9_vectsp_1(U_7555)
| ~ v8_vectsp_1(U_7555)
| ~ v7_vectsp_1(U_7555)
| ~ v6_vectsp_1(U_7555)
| ~ v4_group_1(U_7555)
| ~ v6_rlvect_1(U_7555)
| ~ v5_rlvect_1(U_7555)
| ~ v4_rlvect_1(U_7555)
| ~ v3_rlvect_1(U_7555)
| v3_struct_0(U_7555) ),
inference(definitional_conversion,[status(esa)],[f_3021_2]) ).
cnf(f_3021_4,plain,
( k1_vectsp_2(U_7555,U_7554) != k1_rlvect_1(U_7555)
| U_7554 = k1_rlvect_1(U_7555)
| ~ m1_subset_1(U_7554,u1_struct_0(U_7555))
| ~ l3_vectsp_1(U_7555)
| v10_vectsp_1(U_7555)
| ~ v9_vectsp_1(U_7555)
| ~ v8_vectsp_1(U_7555)
| ~ v7_vectsp_1(U_7555)
| ~ v6_vectsp_1(U_7555)
| ~ v4_group_1(U_7555)
| ~ v6_rlvect_1(U_7555)
| ~ v5_rlvect_1(U_7555)
| ~ v4_rlvect_1(U_7555)
| ~ v3_rlvect_1(U_7555)
| v3_struct_0(U_7555) ),
inference(clausify,[status(thm)],[f_3021_3]) ).
fof(f_3022_1,plain,
! [A] :
( ! [B] :
( k1_vectsp_2(A,k1_vectsp_2(A,B)) = B
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t49_vectsp_2]) ).
fof(f_3022_2,plain,
! [U_7557] :
( ! [U_7556] :
( k1_vectsp_2(U_7557,k1_vectsp_2(U_7557,U_7556)) = U_7556
| U_7556 = k1_rlvect_1(U_7557)
| ~ m1_subset_1(U_7556,u1_struct_0(U_7557)) )
| ~ l3_vectsp_1(U_7557)
| v10_vectsp_1(U_7557)
| ~ v9_vectsp_1(U_7557)
| ~ v8_vectsp_1(U_7557)
| ~ v7_vectsp_1(U_7557)
| ~ v6_vectsp_1(U_7557)
| ~ v4_group_1(U_7557)
| ~ v6_rlvect_1(U_7557)
| ~ v5_rlvect_1(U_7557)
| ~ v4_rlvect_1(U_7557)
| ~ v3_rlvect_1(U_7557)
| v3_struct_0(U_7557) ),
inference(variable_rename,[status(thm)],[f_3022_1]) ).
fof(f_3022_3,plain,
! [U_7556,U_7557] :
( k1_vectsp_2(U_7557,k1_vectsp_2(U_7557,U_7556)) = U_7556
| U_7556 = k1_rlvect_1(U_7557)
| ~ m1_subset_1(U_7556,u1_struct_0(U_7557))
| ~ l3_vectsp_1(U_7557)
| v10_vectsp_1(U_7557)
| ~ v9_vectsp_1(U_7557)
| ~ v8_vectsp_1(U_7557)
| ~ v7_vectsp_1(U_7557)
| ~ v6_vectsp_1(U_7557)
| ~ v4_group_1(U_7557)
| ~ v6_rlvect_1(U_7557)
| ~ v5_rlvect_1(U_7557)
| ~ v4_rlvect_1(U_7557)
| ~ v3_rlvect_1(U_7557)
| v3_struct_0(U_7557) ),
inference(definitional_conversion,[status(esa)],[f_3022_2]) ).
cnf(f_3022_4,plain,
( k1_vectsp_2(U_7557,k1_vectsp_2(U_7557,U_7556)) = U_7556
| U_7556 = k1_rlvect_1(U_7557)
| ~ m1_subset_1(U_7556,u1_struct_0(U_7557))
| ~ l3_vectsp_1(U_7557)
| v10_vectsp_1(U_7557)
| ~ v9_vectsp_1(U_7557)
| ~ v8_vectsp_1(U_7557)
| ~ v7_vectsp_1(U_7557)
| ~ v6_vectsp_1(U_7557)
| ~ v4_group_1(U_7557)
| ~ v6_rlvect_1(U_7557)
| ~ v5_rlvect_1(U_7557)
| ~ v4_rlvect_1(U_7557)
| ~ v3_rlvect_1(U_7557)
| v3_struct_0(U_7557) ),
inference(clausify,[status(thm)],[f_3022_3]) ).
fof(f_3023_1,plain,
! [A] :
( ! [B] :
( ( k2_vectsp_2(A,k2_group_1(A),k1_vectsp_2(A,B)) = B
& k2_vectsp_2(A,k2_group_1(A),B) = k1_vectsp_2(A,B) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t50_vectsp_2]) ).
fof(f_3023_2,plain,
! [U_7559] :
( ! [U_7558] :
( ( k2_vectsp_2(U_7559,k2_group_1(U_7559),k1_vectsp_2(U_7559,U_7558)) = U_7558
& k2_vectsp_2(U_7559,k2_group_1(U_7559),U_7558) = k1_vectsp_2(U_7559,U_7558) )
| U_7558 = k1_rlvect_1(U_7559)
| ~ m1_subset_1(U_7558,u1_struct_0(U_7559)) )
| ~ l3_vectsp_1(U_7559)
| v10_vectsp_1(U_7559)
| ~ v9_vectsp_1(U_7559)
| ~ v8_vectsp_1(U_7559)
| ~ v7_vectsp_1(U_7559)
| ~ v6_vectsp_1(U_7559)
| ~ v4_group_1(U_7559)
| ~ v6_rlvect_1(U_7559)
| ~ v5_rlvect_1(U_7559)
| ~ v4_rlvect_1(U_7559)
| ~ v3_rlvect_1(U_7559)
| v3_struct_0(U_7559) ),
inference(variable_rename,[status(thm)],[f_3023_1]) ).
fof(f_3023_3,plain,
( ! [U_7559,U_7558] :
( k2_vectsp_2(U_7559,k2_group_1(U_7559),k1_vectsp_2(U_7559,U_7558)) = U_7558
| ~ sP1368(U_7559,U_7558) )
& ! [U_7559,U_7558] :
( k2_vectsp_2(U_7559,k2_group_1(U_7559),U_7558) = k1_vectsp_2(U_7559,U_7558)
| ~ sP1368(U_7559,U_7558) )
& ! [U_7559,U_7558] :
( sP1368(U_7559,U_7558)
| U_7558 = k1_rlvect_1(U_7559)
| ~ m1_subset_1(U_7558,u1_struct_0(U_7559))
| ~ l3_vectsp_1(U_7559)
| v10_vectsp_1(U_7559)
| ~ v9_vectsp_1(U_7559)
| ~ v8_vectsp_1(U_7559)
| ~ v7_vectsp_1(U_7559)
| ~ v6_vectsp_1(U_7559)
| ~ v4_group_1(U_7559)
| ~ v6_rlvect_1(U_7559)
| ~ v5_rlvect_1(U_7559)
| ~ v4_rlvect_1(U_7559)
| ~ v3_rlvect_1(U_7559)
| v3_struct_0(U_7559) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1368])],[f_3023_2]) ).
cnf(f_3023_4,plain,
( sP1368(U_7559,U_7558)
| U_7558 = k1_rlvect_1(U_7559)
| ~ m1_subset_1(U_7558,u1_struct_0(U_7559))
| ~ l3_vectsp_1(U_7559)
| v10_vectsp_1(U_7559)
| ~ v9_vectsp_1(U_7559)
| ~ v8_vectsp_1(U_7559)
| ~ v7_vectsp_1(U_7559)
| ~ v6_vectsp_1(U_7559)
| ~ v4_group_1(U_7559)
| ~ v6_rlvect_1(U_7559)
| ~ v5_rlvect_1(U_7559)
| ~ v4_rlvect_1(U_7559)
| ~ v3_rlvect_1(U_7559)
| v3_struct_0(U_7559) ),
inference(clausify,[status(thm)],[f_3023_3]) ).
cnf(f_3023_5,plain,
( k2_vectsp_2(U_7559,k2_group_1(U_7559),U_7558) = k1_vectsp_2(U_7559,U_7558)
| ~ sP1368(U_7559,U_7558) ),
inference(clausify,[status(thm)],[f_3023_3]) ).
cnf(f_3023_6,plain,
( k2_vectsp_2(U_7559,k2_group_1(U_7559),k1_vectsp_2(U_7559,U_7558)) = U_7558
| ~ sP1368(U_7559,U_7558) ),
inference(clausify,[status(thm)],[f_3023_3]) ).
fof(f_3024_1,plain,
! [A] :
( ! [B] :
( ( k1_group_1(A,k2_vectsp_2(A,k2_group_1(A),B),B) = k2_group_1(A)
& k1_group_1(A,B,k2_vectsp_2(A,k2_group_1(A),B)) = k2_group_1(A) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t51_vectsp_2]) ).
fof(f_3024_2,plain,
! [U_7561] :
( ! [U_7560] :
( ( k1_group_1(U_7561,k2_vectsp_2(U_7561,k2_group_1(U_7561),U_7560),U_7560) = k2_group_1(U_7561)
& k1_group_1(U_7561,U_7560,k2_vectsp_2(U_7561,k2_group_1(U_7561),U_7560)) = k2_group_1(U_7561) )
| U_7560 = k1_rlvect_1(U_7561)
| ~ m1_subset_1(U_7560,u1_struct_0(U_7561)) )
| ~ l3_vectsp_1(U_7561)
| v10_vectsp_1(U_7561)
| ~ v9_vectsp_1(U_7561)
| ~ v8_vectsp_1(U_7561)
| ~ v7_vectsp_1(U_7561)
| ~ v6_vectsp_1(U_7561)
| ~ v4_group_1(U_7561)
| ~ v6_rlvect_1(U_7561)
| ~ v5_rlvect_1(U_7561)
| ~ v4_rlvect_1(U_7561)
| ~ v3_rlvect_1(U_7561)
| v3_struct_0(U_7561) ),
inference(variable_rename,[status(thm)],[f_3024_1]) ).
fof(f_3024_3,plain,
( ! [U_7560,U_7561] :
( k1_group_1(U_7561,k2_vectsp_2(U_7561,k2_group_1(U_7561),U_7560),U_7560) = k2_group_1(U_7561)
| ~ sP1369(U_7560,U_7561) )
& ! [U_7560,U_7561] :
( k1_group_1(U_7561,U_7560,k2_vectsp_2(U_7561,k2_group_1(U_7561),U_7560)) = k2_group_1(U_7561)
| ~ sP1369(U_7560,U_7561) )
& ! [U_7560,U_7561] :
( sP1369(U_7560,U_7561)
| U_7560 = k1_rlvect_1(U_7561)
| ~ m1_subset_1(U_7560,u1_struct_0(U_7561))
| ~ l3_vectsp_1(U_7561)
| v10_vectsp_1(U_7561)
| ~ v9_vectsp_1(U_7561)
| ~ v8_vectsp_1(U_7561)
| ~ v7_vectsp_1(U_7561)
| ~ v6_vectsp_1(U_7561)
| ~ v4_group_1(U_7561)
| ~ v6_rlvect_1(U_7561)
| ~ v5_rlvect_1(U_7561)
| ~ v4_rlvect_1(U_7561)
| ~ v3_rlvect_1(U_7561)
| v3_struct_0(U_7561) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1369])],[f_3024_2]) ).
cnf(f_3024_4,plain,
( sP1369(U_7560,U_7561)
| U_7560 = k1_rlvect_1(U_7561)
| ~ m1_subset_1(U_7560,u1_struct_0(U_7561))
| ~ l3_vectsp_1(U_7561)
| v10_vectsp_1(U_7561)
| ~ v9_vectsp_1(U_7561)
| ~ v8_vectsp_1(U_7561)
| ~ v7_vectsp_1(U_7561)
| ~ v6_vectsp_1(U_7561)
| ~ v4_group_1(U_7561)
| ~ v6_rlvect_1(U_7561)
| ~ v5_rlvect_1(U_7561)
| ~ v4_rlvect_1(U_7561)
| ~ v3_rlvect_1(U_7561)
| v3_struct_0(U_7561) ),
inference(clausify,[status(thm)],[f_3024_3]) ).
cnf(f_3024_5,plain,
( k1_group_1(U_7561,U_7560,k2_vectsp_2(U_7561,k2_group_1(U_7561),U_7560)) = k2_group_1(U_7561)
| ~ sP1369(U_7560,U_7561) ),
inference(clausify,[status(thm)],[f_3024_3]) ).
cnf(f_3024_6,plain,
( k1_group_1(U_7561,k2_vectsp_2(U_7561,k2_group_1(U_7561),U_7560),U_7560) = k2_group_1(U_7561)
| ~ sP1369(U_7560,U_7561) ),
inference(clausify,[status(thm)],[f_3024_3]) ).
fof(f_3025_1,plain,
! [A] :
( ! [B] :
( k2_vectsp_2(A,B,B) = k2_group_1(A)
| B = k1_rlvect_1(A)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t52_vectsp_2]) ).
fof(f_3025_2,plain,
! [U_7563] :
( ! [U_7562] :
( k2_vectsp_2(U_7563,U_7562,U_7562) = k2_group_1(U_7563)
| U_7562 = k1_rlvect_1(U_7563)
| ~ m1_subset_1(U_7562,u1_struct_0(U_7563)) )
| ~ l3_vectsp_1(U_7563)
| v10_vectsp_1(U_7563)
| ~ v9_vectsp_1(U_7563)
| ~ v8_vectsp_1(U_7563)
| ~ v7_vectsp_1(U_7563)
| ~ v6_vectsp_1(U_7563)
| ~ v4_group_1(U_7563)
| ~ v6_rlvect_1(U_7563)
| ~ v5_rlvect_1(U_7563)
| ~ v4_rlvect_1(U_7563)
| ~ v3_rlvect_1(U_7563)
| v3_struct_0(U_7563) ),
inference(variable_rename,[status(thm)],[f_3025_1]) ).
fof(f_3025_3,plain,
! [U_7563,U_7562] :
( k2_vectsp_2(U_7563,U_7562,U_7562) = k2_group_1(U_7563)
| U_7562 = k1_rlvect_1(U_7563)
| ~ m1_subset_1(U_7562,u1_struct_0(U_7563))
| ~ l3_vectsp_1(U_7563)
| v10_vectsp_1(U_7563)
| ~ v9_vectsp_1(U_7563)
| ~ v8_vectsp_1(U_7563)
| ~ v7_vectsp_1(U_7563)
| ~ v6_vectsp_1(U_7563)
| ~ v4_group_1(U_7563)
| ~ v6_rlvect_1(U_7563)
| ~ v5_rlvect_1(U_7563)
| ~ v4_rlvect_1(U_7563)
| ~ v3_rlvect_1(U_7563)
| v3_struct_0(U_7563) ),
inference(definitional_conversion,[status(esa)],[f_3025_2]) ).
cnf(f_3025_4,plain,
( k2_vectsp_2(U_7563,U_7562,U_7562) = k2_group_1(U_7563)
| U_7562 = k1_rlvect_1(U_7563)
| ~ m1_subset_1(U_7562,u1_struct_0(U_7563))
| ~ l3_vectsp_1(U_7563)
| v10_vectsp_1(U_7563)
| ~ v9_vectsp_1(U_7563)
| ~ v8_vectsp_1(U_7563)
| ~ v7_vectsp_1(U_7563)
| ~ v6_vectsp_1(U_7563)
| ~ v4_group_1(U_7563)
| ~ v6_rlvect_1(U_7563)
| ~ v5_rlvect_1(U_7563)
| ~ v4_rlvect_1(U_7563)
| ~ v3_rlvect_1(U_7563)
| v3_struct_0(U_7563) ),
inference(clausify,[status(thm)],[f_3025_3]) ).
fof(f_3026_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k2_vectsp_2(A,D,B) = k2_vectsp_2(A,k1_group_1(A,D,C),k1_group_1(A,B,C))
| C = k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t53_vectsp_2]) ).
fof(f_3026_2,plain,
! [U_7567] :
( ! [U_7566] :
( ! [U_7565] :
( ! [U_7564] :
( k2_vectsp_2(U_7567,U_7564,U_7566) = k2_vectsp_2(U_7567,k1_group_1(U_7567,U_7564,U_7565),k1_group_1(U_7567,U_7566,U_7565))
| U_7565 = k1_rlvect_1(U_7567)
| U_7566 = k1_rlvect_1(U_7567)
| ~ m1_subset_1(U_7564,u1_struct_0(U_7567)) )
| ~ m1_subset_1(U_7565,u1_struct_0(U_7567)) )
| ~ m1_subset_1(U_7566,u1_struct_0(U_7567)) )
| ~ l3_vectsp_1(U_7567)
| v10_vectsp_1(U_7567)
| ~ v9_vectsp_1(U_7567)
| ~ v8_vectsp_1(U_7567)
| ~ v7_vectsp_1(U_7567)
| ~ v6_vectsp_1(U_7567)
| ~ v4_group_1(U_7567)
| ~ v6_rlvect_1(U_7567)
| ~ v5_rlvect_1(U_7567)
| ~ v4_rlvect_1(U_7567)
| ~ v3_rlvect_1(U_7567)
| v3_struct_0(U_7567) ),
inference(variable_rename,[status(thm)],[f_3026_1]) ).
fof(f_3026_3,plain,
! [U_7564,U_7567,U_7566,U_7565] :
( k2_vectsp_2(U_7567,U_7564,U_7566) = k2_vectsp_2(U_7567,k1_group_1(U_7567,U_7564,U_7565),k1_group_1(U_7567,U_7566,U_7565))
| U_7565 = k1_rlvect_1(U_7567)
| U_7566 = k1_rlvect_1(U_7567)
| ~ m1_subset_1(U_7564,u1_struct_0(U_7567))
| ~ m1_subset_1(U_7565,u1_struct_0(U_7567))
| ~ m1_subset_1(U_7566,u1_struct_0(U_7567))
| ~ l3_vectsp_1(U_7567)
| v10_vectsp_1(U_7567)
| ~ v9_vectsp_1(U_7567)
| ~ v8_vectsp_1(U_7567)
| ~ v7_vectsp_1(U_7567)
| ~ v6_vectsp_1(U_7567)
| ~ v4_group_1(U_7567)
| ~ v6_rlvect_1(U_7567)
| ~ v5_rlvect_1(U_7567)
| ~ v4_rlvect_1(U_7567)
| ~ v3_rlvect_1(U_7567)
| v3_struct_0(U_7567) ),
inference(definitional_conversion,[status(esa)],[f_3026_2]) ).
cnf(f_3026_4,plain,
( k2_vectsp_2(U_7567,U_7564,U_7566) = k2_vectsp_2(U_7567,k1_group_1(U_7567,U_7564,U_7565),k1_group_1(U_7567,U_7566,U_7565))
| U_7565 = k1_rlvect_1(U_7567)
| U_7566 = k1_rlvect_1(U_7567)
| ~ m1_subset_1(U_7564,u1_struct_0(U_7567))
| ~ m1_subset_1(U_7565,u1_struct_0(U_7567))
| ~ m1_subset_1(U_7566,u1_struct_0(U_7567))
| ~ l3_vectsp_1(U_7567)
| v10_vectsp_1(U_7567)
| ~ v9_vectsp_1(U_7567)
| ~ v8_vectsp_1(U_7567)
| ~ v7_vectsp_1(U_7567)
| ~ v6_vectsp_1(U_7567)
| ~ v4_group_1(U_7567)
| ~ v6_rlvect_1(U_7567)
| ~ v5_rlvect_1(U_7567)
| ~ v4_rlvect_1(U_7567)
| ~ v3_rlvect_1(U_7567)
| v3_struct_0(U_7567) ),
inference(clausify,[status(thm)],[f_3026_3]) ).
fof(f_3027_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k2_vectsp_2(A,C,k5_rlvect_1(A,B)) = k5_rlvect_1(A,k2_vectsp_2(A,C,B))
& k5_rlvect_1(A,k2_vectsp_2(A,C,B)) = k2_vectsp_2(A,k5_rlvect_1(A,C),B) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t54_vectsp_2]) ).
fof(f_3027_2,plain,
! [U_7570] :
( ! [U_7569] :
( ! [U_7568] :
( ( k2_vectsp_2(U_7570,U_7568,k5_rlvect_1(U_7570,U_7569)) = k5_rlvect_1(U_7570,k2_vectsp_2(U_7570,U_7568,U_7569))
& k5_rlvect_1(U_7570,k2_vectsp_2(U_7570,U_7568,U_7569)) = k2_vectsp_2(U_7570,k5_rlvect_1(U_7570,U_7568),U_7569) )
| U_7569 = k1_rlvect_1(U_7570)
| ~ m1_subset_1(U_7568,u1_struct_0(U_7570)) )
| ~ m1_subset_1(U_7569,u1_struct_0(U_7570)) )
| ~ l3_vectsp_1(U_7570)
| v10_vectsp_1(U_7570)
| ~ v9_vectsp_1(U_7570)
| ~ v8_vectsp_1(U_7570)
| ~ v7_vectsp_1(U_7570)
| ~ v6_vectsp_1(U_7570)
| ~ v4_group_1(U_7570)
| ~ v6_rlvect_1(U_7570)
| ~ v5_rlvect_1(U_7570)
| ~ v4_rlvect_1(U_7570)
| ~ v3_rlvect_1(U_7570)
| v3_struct_0(U_7570) ),
inference(variable_rename,[status(thm)],[f_3027_1]) ).
fof(f_3027_3,plain,
( ! [U_7570,U_7569,U_7568] :
( k2_vectsp_2(U_7570,U_7568,k5_rlvect_1(U_7570,U_7569)) = k5_rlvect_1(U_7570,k2_vectsp_2(U_7570,U_7568,U_7569))
| ~ sP1370(U_7570,U_7569,U_7568) )
& ! [U_7570,U_7569,U_7568] :
( k5_rlvect_1(U_7570,k2_vectsp_2(U_7570,U_7568,U_7569)) = k2_vectsp_2(U_7570,k5_rlvect_1(U_7570,U_7568),U_7569)
| ~ sP1370(U_7570,U_7569,U_7568) )
& ! [U_7570,U_7569,U_7568] :
( sP1370(U_7570,U_7569,U_7568)
| U_7569 = k1_rlvect_1(U_7570)
| ~ m1_subset_1(U_7568,u1_struct_0(U_7570))
| ~ m1_subset_1(U_7569,u1_struct_0(U_7570))
| ~ l3_vectsp_1(U_7570)
| v10_vectsp_1(U_7570)
| ~ v9_vectsp_1(U_7570)
| ~ v8_vectsp_1(U_7570)
| ~ v7_vectsp_1(U_7570)
| ~ v6_vectsp_1(U_7570)
| ~ v4_group_1(U_7570)
| ~ v6_rlvect_1(U_7570)
| ~ v5_rlvect_1(U_7570)
| ~ v4_rlvect_1(U_7570)
| ~ v3_rlvect_1(U_7570)
| v3_struct_0(U_7570) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1370])],[f_3027_2]) ).
cnf(f_3027_4,plain,
( sP1370(U_7570,U_7569,U_7568)
| U_7569 = k1_rlvect_1(U_7570)
| ~ m1_subset_1(U_7568,u1_struct_0(U_7570))
| ~ m1_subset_1(U_7569,u1_struct_0(U_7570))
| ~ l3_vectsp_1(U_7570)
| v10_vectsp_1(U_7570)
| ~ v9_vectsp_1(U_7570)
| ~ v8_vectsp_1(U_7570)
| ~ v7_vectsp_1(U_7570)
| ~ v6_vectsp_1(U_7570)
| ~ v4_group_1(U_7570)
| ~ v6_rlvect_1(U_7570)
| ~ v5_rlvect_1(U_7570)
| ~ v4_rlvect_1(U_7570)
| ~ v3_rlvect_1(U_7570)
| v3_struct_0(U_7570) ),
inference(clausify,[status(thm)],[f_3027_3]) ).
cnf(f_3027_5,plain,
( k5_rlvect_1(U_7570,k2_vectsp_2(U_7570,U_7568,U_7569)) = k2_vectsp_2(U_7570,k5_rlvect_1(U_7570,U_7568),U_7569)
| ~ sP1370(U_7570,U_7569,U_7568) ),
inference(clausify,[status(thm)],[f_3027_3]) ).
cnf(f_3027_6,plain,
( k2_vectsp_2(U_7570,U_7568,k5_rlvect_1(U_7570,U_7569)) = k5_rlvect_1(U_7570,k2_vectsp_2(U_7570,U_7568,U_7569))
| ~ sP1370(U_7570,U_7569,U_7568) ),
inference(clausify,[status(thm)],[f_3027_3]) ).
fof(f_3028_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( k6_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k6_rlvect_1(A,C,D),B)
& k4_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k4_rlvect_1(A,C,D),B) )
| B = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t55_vectsp_2]) ).
fof(f_3028_2,plain,
! [U_7574] :
( ! [U_7573] :
( ! [U_7572] :
( ! [U_7571] :
( ( k6_rlvect_1(U_7574,k2_vectsp_2(U_7574,U_7572,U_7573),k2_vectsp_2(U_7574,U_7571,U_7573)) = k2_vectsp_2(U_7574,k6_rlvect_1(U_7574,U_7572,U_7571),U_7573)
& k4_rlvect_1(U_7574,k2_vectsp_2(U_7574,U_7572,U_7573),k2_vectsp_2(U_7574,U_7571,U_7573)) = k2_vectsp_2(U_7574,k4_rlvect_1(U_7574,U_7572,U_7571),U_7573) )
| U_7573 = k1_rlvect_1(U_7574)
| ~ m1_subset_1(U_7571,u1_struct_0(U_7574)) )
| ~ m1_subset_1(U_7572,u1_struct_0(U_7574)) )
| ~ m1_subset_1(U_7573,u1_struct_0(U_7574)) )
| ~ l3_vectsp_1(U_7574)
| v10_vectsp_1(U_7574)
| ~ v9_vectsp_1(U_7574)
| ~ v8_vectsp_1(U_7574)
| ~ v7_vectsp_1(U_7574)
| ~ v6_vectsp_1(U_7574)
| ~ v4_group_1(U_7574)
| ~ v6_rlvect_1(U_7574)
| ~ v5_rlvect_1(U_7574)
| ~ v4_rlvect_1(U_7574)
| ~ v3_rlvect_1(U_7574)
| v3_struct_0(U_7574) ),
inference(variable_rename,[status(thm)],[f_3028_1]) ).
fof(f_3028_3,plain,
( ! [U_7574,U_7572,U_7573,U_7571] :
( k6_rlvect_1(U_7574,k2_vectsp_2(U_7574,U_7572,U_7573),k2_vectsp_2(U_7574,U_7571,U_7573)) = k2_vectsp_2(U_7574,k6_rlvect_1(U_7574,U_7572,U_7571),U_7573)
| ~ sP1371(U_7574,U_7572,U_7573,U_7571) )
& ! [U_7574,U_7572,U_7573,U_7571] :
( k4_rlvect_1(U_7574,k2_vectsp_2(U_7574,U_7572,U_7573),k2_vectsp_2(U_7574,U_7571,U_7573)) = k2_vectsp_2(U_7574,k4_rlvect_1(U_7574,U_7572,U_7571),U_7573)
| ~ sP1371(U_7574,U_7572,U_7573,U_7571) )
& ! [U_7574,U_7572,U_7573,U_7571] :
( sP1371(U_7574,U_7572,U_7573,U_7571)
| U_7573 = k1_rlvect_1(U_7574)
| ~ m1_subset_1(U_7571,u1_struct_0(U_7574))
| ~ m1_subset_1(U_7572,u1_struct_0(U_7574))
| ~ m1_subset_1(U_7573,u1_struct_0(U_7574))
| ~ l3_vectsp_1(U_7574)
| v10_vectsp_1(U_7574)
| ~ v9_vectsp_1(U_7574)
| ~ v8_vectsp_1(U_7574)
| ~ v7_vectsp_1(U_7574)
| ~ v6_vectsp_1(U_7574)
| ~ v4_group_1(U_7574)
| ~ v6_rlvect_1(U_7574)
| ~ v5_rlvect_1(U_7574)
| ~ v4_rlvect_1(U_7574)
| ~ v3_rlvect_1(U_7574)
| v3_struct_0(U_7574) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1371])],[f_3028_2]) ).
cnf(f_3028_4,plain,
( sP1371(U_7574,U_7572,U_7573,U_7571)
| U_7573 = k1_rlvect_1(U_7574)
| ~ m1_subset_1(U_7571,u1_struct_0(U_7574))
| ~ m1_subset_1(U_7572,u1_struct_0(U_7574))
| ~ m1_subset_1(U_7573,u1_struct_0(U_7574))
| ~ l3_vectsp_1(U_7574)
| v10_vectsp_1(U_7574)
| ~ v9_vectsp_1(U_7574)
| ~ v8_vectsp_1(U_7574)
| ~ v7_vectsp_1(U_7574)
| ~ v6_vectsp_1(U_7574)
| ~ v4_group_1(U_7574)
| ~ v6_rlvect_1(U_7574)
| ~ v5_rlvect_1(U_7574)
| ~ v4_rlvect_1(U_7574)
| ~ v3_rlvect_1(U_7574)
| v3_struct_0(U_7574) ),
inference(clausify,[status(thm)],[f_3028_3]) ).
cnf(f_3028_5,plain,
( k4_rlvect_1(U_7574,k2_vectsp_2(U_7574,U_7572,U_7573),k2_vectsp_2(U_7574,U_7571,U_7573)) = k2_vectsp_2(U_7574,k4_rlvect_1(U_7574,U_7572,U_7571),U_7573)
| ~ sP1371(U_7574,U_7572,U_7573,U_7571) ),
inference(clausify,[status(thm)],[f_3028_3]) ).
cnf(f_3028_6,plain,
( k6_rlvect_1(U_7574,k2_vectsp_2(U_7574,U_7572,U_7573),k2_vectsp_2(U_7574,U_7571,U_7573)) = k2_vectsp_2(U_7574,k6_rlvect_1(U_7574,U_7572,U_7571),U_7573)
| ~ sP1371(U_7574,U_7572,U_7573,U_7571) ),
inference(clausify,[status(thm)],[f_3028_3]) ).
fof(f_3029_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k2_vectsp_2(A,D,k2_vectsp_2(A,B,C)) = k2_vectsp_2(A,k1_group_1(A,D,C),B)
| C = k1_rlvect_1(A)
| B = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t56_vectsp_2]) ).
fof(f_3029_2,plain,
! [U_7578] :
( ! [U_7577] :
( ! [U_7576] :
( ! [U_7575] :
( k2_vectsp_2(U_7578,U_7575,k2_vectsp_2(U_7578,U_7577,U_7576)) = k2_vectsp_2(U_7578,k1_group_1(U_7578,U_7575,U_7576),U_7577)
| U_7576 = k1_rlvect_1(U_7578)
| U_7577 = k1_rlvect_1(U_7578)
| ~ m1_subset_1(U_7575,u1_struct_0(U_7578)) )
| ~ m1_subset_1(U_7576,u1_struct_0(U_7578)) )
| ~ m1_subset_1(U_7577,u1_struct_0(U_7578)) )
| ~ l3_vectsp_1(U_7578)
| v10_vectsp_1(U_7578)
| ~ v9_vectsp_1(U_7578)
| ~ v8_vectsp_1(U_7578)
| ~ v7_vectsp_1(U_7578)
| ~ v6_vectsp_1(U_7578)
| ~ v4_group_1(U_7578)
| ~ v6_rlvect_1(U_7578)
| ~ v5_rlvect_1(U_7578)
| ~ v4_rlvect_1(U_7578)
| ~ v3_rlvect_1(U_7578)
| v3_struct_0(U_7578) ),
inference(variable_rename,[status(thm)],[f_3029_1]) ).
fof(f_3029_3,plain,
! [U_7576,U_7575,U_7578,U_7577] :
( k2_vectsp_2(U_7578,U_7575,k2_vectsp_2(U_7578,U_7577,U_7576)) = k2_vectsp_2(U_7578,k1_group_1(U_7578,U_7575,U_7576),U_7577)
| U_7576 = k1_rlvect_1(U_7578)
| U_7577 = k1_rlvect_1(U_7578)
| ~ m1_subset_1(U_7575,u1_struct_0(U_7578))
| ~ m1_subset_1(U_7576,u1_struct_0(U_7578))
| ~ m1_subset_1(U_7577,u1_struct_0(U_7578))
| ~ l3_vectsp_1(U_7578)
| v10_vectsp_1(U_7578)
| ~ v9_vectsp_1(U_7578)
| ~ v8_vectsp_1(U_7578)
| ~ v7_vectsp_1(U_7578)
| ~ v6_vectsp_1(U_7578)
| ~ v4_group_1(U_7578)
| ~ v6_rlvect_1(U_7578)
| ~ v5_rlvect_1(U_7578)
| ~ v4_rlvect_1(U_7578)
| ~ v3_rlvect_1(U_7578)
| v3_struct_0(U_7578) ),
inference(definitional_conversion,[status(esa)],[f_3029_2]) ).
cnf(f_3029_4,plain,
( k2_vectsp_2(U_7578,U_7575,k2_vectsp_2(U_7578,U_7577,U_7576)) = k2_vectsp_2(U_7578,k1_group_1(U_7578,U_7575,U_7576),U_7577)
| U_7576 = k1_rlvect_1(U_7578)
| U_7577 = k1_rlvect_1(U_7578)
| ~ m1_subset_1(U_7575,u1_struct_0(U_7578))
| ~ m1_subset_1(U_7576,u1_struct_0(U_7578))
| ~ m1_subset_1(U_7577,u1_struct_0(U_7578))
| ~ l3_vectsp_1(U_7578)
| v10_vectsp_1(U_7578)
| ~ v9_vectsp_1(U_7578)
| ~ v8_vectsp_1(U_7578)
| ~ v7_vectsp_1(U_7578)
| ~ v6_vectsp_1(U_7578)
| ~ v4_group_1(U_7578)
| ~ v6_rlvect_1(U_7578)
| ~ v5_rlvect_1(U_7578)
| ~ v4_rlvect_1(U_7578)
| ~ v3_rlvect_1(U_7578)
| v3_struct_0(U_7578) ),
inference(clausify,[status(thm)],[f_3029_3]) ).
fof(f_3030_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_group_1(A,k2_vectsp_2(A,C,B),B) = C
| B = k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t57_vectsp_2]) ).
fof(f_3030_2,plain,
! [U_7581] :
( ! [U_7580] :
( ! [U_7579] :
( k1_group_1(U_7581,k2_vectsp_2(U_7581,U_7579,U_7580),U_7580) = U_7579
| U_7580 = k1_rlvect_1(U_7581)
| ~ m1_subset_1(U_7579,u1_struct_0(U_7581)) )
| ~ m1_subset_1(U_7580,u1_struct_0(U_7581)) )
| ~ l3_vectsp_1(U_7581)
| v10_vectsp_1(U_7581)
| ~ v9_vectsp_1(U_7581)
| ~ v8_vectsp_1(U_7581)
| ~ v7_vectsp_1(U_7581)
| ~ v6_vectsp_1(U_7581)
| ~ v4_group_1(U_7581)
| ~ v6_rlvect_1(U_7581)
| ~ v5_rlvect_1(U_7581)
| ~ v4_rlvect_1(U_7581)
| ~ v3_rlvect_1(U_7581)
| v3_struct_0(U_7581) ),
inference(variable_rename,[status(thm)],[f_3030_1]) ).
fof(f_3030_3,plain,
! [U_7579,U_7580,U_7581] :
( k1_group_1(U_7581,k2_vectsp_2(U_7581,U_7579,U_7580),U_7580) = U_7579
| U_7580 = k1_rlvect_1(U_7581)
| ~ m1_subset_1(U_7579,u1_struct_0(U_7581))
| ~ m1_subset_1(U_7580,u1_struct_0(U_7581))
| ~ l3_vectsp_1(U_7581)
| v10_vectsp_1(U_7581)
| ~ v9_vectsp_1(U_7581)
| ~ v8_vectsp_1(U_7581)
| ~ v7_vectsp_1(U_7581)
| ~ v6_vectsp_1(U_7581)
| ~ v4_group_1(U_7581)
| ~ v6_rlvect_1(U_7581)
| ~ v5_rlvect_1(U_7581)
| ~ v4_rlvect_1(U_7581)
| ~ v3_rlvect_1(U_7581)
| v3_struct_0(U_7581) ),
inference(definitional_conversion,[status(esa)],[f_3030_2]) ).
cnf(f_3030_4,plain,
( k1_group_1(U_7581,k2_vectsp_2(U_7581,U_7579,U_7580),U_7580) = U_7579
| U_7580 = k1_rlvect_1(U_7581)
| ~ m1_subset_1(U_7579,u1_struct_0(U_7581))
| ~ m1_subset_1(U_7580,u1_struct_0(U_7581))
| ~ l3_vectsp_1(U_7581)
| v10_vectsp_1(U_7581)
| ~ v9_vectsp_1(U_7581)
| ~ v8_vectsp_1(U_7581)
| ~ v7_vectsp_1(U_7581)
| ~ v6_vectsp_1(U_7581)
| ~ v4_group_1(U_7581)
| ~ v6_rlvect_1(U_7581)
| ~ v5_rlvect_1(U_7581)
| ~ v4_rlvect_1(U_7581)
| ~ v3_rlvect_1(U_7581)
| v3_struct_0(U_7581) ),
inference(clausify,[status(thm)],[f_3030_3]) ).
fof(f_3031_1,plain,
! [A] :
( k3_vectsp_2(A) = g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A))
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_vectsp_2]) ).
fof(f_3031_2,plain,
! [U_7582] :
( k3_vectsp_2(U_7582) = g1_rlvect_1(u1_struct_0(U_7582),u1_rlvect_1(U_7582),u2_struct_0(U_7582))
| ~ l1_rlvect_1(U_7582)
| ~ v6_rlvect_1(U_7582)
| ~ v5_rlvect_1(U_7582)
| ~ v4_rlvect_1(U_7582)
| ~ v3_rlvect_1(U_7582)
| v3_struct_0(U_7582) ),
inference(variable_rename,[status(thm)],[f_3031_1]) ).
fof(f_3031_3,plain,
! [U_7582] :
( k3_vectsp_2(U_7582) = g1_rlvect_1(u1_struct_0(U_7582),u1_rlvect_1(U_7582),u2_struct_0(U_7582))
| ~ l1_rlvect_1(U_7582)
| ~ v6_rlvect_1(U_7582)
| ~ v5_rlvect_1(U_7582)
| ~ v4_rlvect_1(U_7582)
| ~ v3_rlvect_1(U_7582)
| v3_struct_0(U_7582) ),
inference(definitional_conversion,[status(esa)],[f_3031_2]) ).
cnf(f_3031_4,plain,
( k3_vectsp_2(U_7582) = g1_rlvect_1(u1_struct_0(U_7582),u1_rlvect_1(U_7582),u2_struct_0(U_7582))
| ~ l1_rlvect_1(U_7582)
| ~ v6_rlvect_1(U_7582)
| ~ v5_rlvect_1(U_7582)
| ~ v4_rlvect_1(U_7582)
| ~ v3_rlvect_1(U_7582)
| v3_struct_0(U_7582) ),
inference(clausify,[status(thm)],[f_3031_3]) ).
fof(f_3032_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d10_vectsp_2]) ).
fof(f_3032_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3032_1]) ).
cnf(f_3032_3,plain,
$true,
inference(clausify,[status(thm)],[f_3032_2]) ).
fof(f_3033_1,plain,
! [A] :
( k4_vectsp_2(A) = g4_vectsp_1(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A))
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d11_vectsp_2]) ).
fof(f_3033_2,plain,
! [U_7583] :
( k4_vectsp_2(U_7583) = g4_vectsp_1(U_7583,u1_struct_0(U_7583),u1_rlvect_1(U_7583),u2_struct_0(U_7583),u1_group_1(U_7583))
| ~ l3_vectsp_1(U_7583)
| ~ v8_vectsp_1(U_7583)
| ~ v7_vectsp_1(U_7583)
| ~ v6_vectsp_1(U_7583)
| ~ v4_group_1(U_7583)
| ~ v6_rlvect_1(U_7583)
| ~ v5_rlvect_1(U_7583)
| ~ v4_rlvect_1(U_7583)
| ~ v3_rlvect_1(U_7583)
| v3_struct_0(U_7583) ),
inference(variable_rename,[status(thm)],[f_3033_1]) ).
fof(f_3033_3,plain,
! [U_7583] :
( k4_vectsp_2(U_7583) = g4_vectsp_1(U_7583,u1_struct_0(U_7583),u1_rlvect_1(U_7583),u2_struct_0(U_7583),u1_group_1(U_7583))
| ~ l3_vectsp_1(U_7583)
| ~ v8_vectsp_1(U_7583)
| ~ v7_vectsp_1(U_7583)
| ~ v6_vectsp_1(U_7583)
| ~ v4_group_1(U_7583)
| ~ v6_rlvect_1(U_7583)
| ~ v5_rlvect_1(U_7583)
| ~ v4_rlvect_1(U_7583)
| ~ v3_rlvect_1(U_7583)
| v3_struct_0(U_7583) ),
inference(definitional_conversion,[status(esa)],[f_3033_2]) ).
cnf(f_3033_4,plain,
( k4_vectsp_2(U_7583) = g4_vectsp_1(U_7583,u1_struct_0(U_7583),u1_rlvect_1(U_7583),u2_struct_0(U_7583),u1_group_1(U_7583))
| ~ l3_vectsp_1(U_7583)
| ~ v8_vectsp_1(U_7583)
| ~ v7_vectsp_1(U_7583)
| ~ v6_vectsp_1(U_7583)
| ~ v4_group_1(U_7583)
| ~ v6_rlvect_1(U_7583)
| ~ v5_rlvect_1(U_7583)
| ~ v4_rlvect_1(U_7583)
| ~ v3_rlvect_1(U_7583)
| v3_struct_0(U_7583) ),
inference(clausify,[status(thm)],[f_3033_3]) ).
fof(f_3034_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d12_vectsp_2]) ).
fof(f_3034_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3034_1]) ).
cnf(f_3034_3,plain,
$true,
inference(clausify,[status(thm)],[f_3034_2]) ).
fof(f_3035_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d13_vectsp_2]) ).
fof(f_3035_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3035_1]) ).
cnf(f_3035_3,plain,
$true,
inference(clausify,[status(thm)],[f_3035_2]) ).
fof(f_3036_1,plain,
! [A] :
( k5_vectsp_2(A) = g1_vectsp_2(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A))
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d14_vectsp_2]) ).
fof(f_3036_2,plain,
! [U_7584] :
( k5_vectsp_2(U_7584) = g1_vectsp_2(U_7584,u1_struct_0(U_7584),u1_rlvect_1(U_7584),u2_struct_0(U_7584),u1_group_1(U_7584))
| ~ l3_vectsp_1(U_7584)
| ~ v8_vectsp_1(U_7584)
| ~ v7_vectsp_1(U_7584)
| ~ v6_vectsp_1(U_7584)
| ~ v4_group_1(U_7584)
| ~ v6_rlvect_1(U_7584)
| ~ v5_rlvect_1(U_7584)
| ~ v4_rlvect_1(U_7584)
| ~ v3_rlvect_1(U_7584)
| v3_struct_0(U_7584) ),
inference(variable_rename,[status(thm)],[f_3036_1]) ).
fof(f_3036_3,plain,
! [U_7584] :
( k5_vectsp_2(U_7584) = g1_vectsp_2(U_7584,u1_struct_0(U_7584),u1_rlvect_1(U_7584),u2_struct_0(U_7584),u1_group_1(U_7584))
| ~ l3_vectsp_1(U_7584)
| ~ v8_vectsp_1(U_7584)
| ~ v7_vectsp_1(U_7584)
| ~ v6_vectsp_1(U_7584)
| ~ v4_group_1(U_7584)
| ~ v6_rlvect_1(U_7584)
| ~ v5_rlvect_1(U_7584)
| ~ v4_rlvect_1(U_7584)
| ~ v3_rlvect_1(U_7584)
| v3_struct_0(U_7584) ),
inference(definitional_conversion,[status(esa)],[f_3036_2]) ).
cnf(f_3036_4,plain,
( k5_vectsp_2(U_7584) = g1_vectsp_2(U_7584,u1_struct_0(U_7584),u1_rlvect_1(U_7584),u2_struct_0(U_7584),u1_group_1(U_7584))
| ~ l3_vectsp_1(U_7584)
| ~ v8_vectsp_1(U_7584)
| ~ v7_vectsp_1(U_7584)
| ~ v6_vectsp_1(U_7584)
| ~ v4_group_1(U_7584)
| ~ v6_rlvect_1(U_7584)
| ~ v5_rlvect_1(U_7584)
| ~ v4_rlvect_1(U_7584)
| ~ v3_rlvect_1(U_7584)
| v3_struct_0(U_7584) ),
inference(clausify,[status(thm)],[f_3036_3]) ).
fof(f_3037_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d15_vectsp_2]) ).
fof(f_3037_2,plain,
! [U_7588] :
( ! [U_7587] :
( ! [U_7586] :
( ! [U_7585] :
( k6_vectsp_2(U_7588,U_7587,U_7586,U_7585) = k2_binop_1(u1_struct_0(U_7587),u1_struct_0(U_7588),u1_struct_0(U_7587),u1_vectsp_2(U_7588,U_7587),U_7585,U_7586)
| ~ m1_subset_1(U_7585,u1_struct_0(U_7587)) )
| ~ m1_subset_1(U_7586,u1_struct_0(U_7588)) )
| ~ l1_vectsp_2(U_7587,U_7588)
| v3_struct_0(U_7587) )
| ~ l1_struct_0(U_7588)
| v3_struct_0(U_7588) ),
inference(variable_rename,[status(thm)],[f_3037_1]) ).
fof(f_3037_3,plain,
! [U_7585,U_7586,U_7587,U_7588] :
( k6_vectsp_2(U_7588,U_7587,U_7586,U_7585) = k2_binop_1(u1_struct_0(U_7587),u1_struct_0(U_7588),u1_struct_0(U_7587),u1_vectsp_2(U_7588,U_7587),U_7585,U_7586)
| ~ m1_subset_1(U_7585,u1_struct_0(U_7587))
| ~ m1_subset_1(U_7586,u1_struct_0(U_7588))
| ~ l1_vectsp_2(U_7587,U_7588)
| v3_struct_0(U_7587)
| ~ l1_struct_0(U_7588)
| v3_struct_0(U_7588) ),
inference(definitional_conversion,[status(esa)],[f_3037_2]) ).
cnf(f_3037_4,plain,
( k6_vectsp_2(U_7588,U_7587,U_7586,U_7585) = k2_binop_1(u1_struct_0(U_7587),u1_struct_0(U_7588),u1_struct_0(U_7587),u1_vectsp_2(U_7588,U_7587),U_7585,U_7586)
| ~ m1_subset_1(U_7585,u1_struct_0(U_7587))
| ~ m1_subset_1(U_7586,u1_struct_0(U_7588))
| ~ l1_vectsp_2(U_7587,U_7588)
| v3_struct_0(U_7587)
| ~ l1_struct_0(U_7588)
| v3_struct_0(U_7588) ),
inference(clausify,[status(thm)],[f_3037_3]) ).
fof(f_3038_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d16_vectsp_2]) ).
fof(f_3038_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3038_1]) ).
cnf(f_3038_3,plain,
$true,
inference(clausify,[status(thm)],[f_3038_2]) ).
fof(f_3039_1,plain,
! [A] :
( A = k7_vectsp_2
| ~ m2_relset_1(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_2(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_1(A) ),
inference(fof_nnf,[status(thm)],[d17_vectsp_2]) ).
fof(f_3039_2,plain,
! [U_7589] :
( U_7589 = k7_vectsp_2
| ~ m2_relset_1(U_7589,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_2(U_7589,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_1(U_7589) ),
inference(variable_rename,[status(thm)],[f_3039_1]) ).
fof(f_3039_3,plain,
! [U_7589] :
( U_7589 = k7_vectsp_2
| ~ m2_relset_1(U_7589,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_2(U_7589,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_1(U_7589) ),
inference(definitional_conversion,[status(esa)],[f_3039_2]) ).
cnf(f_3039_4,plain,
( U_7589 = k7_vectsp_2
| ~ m2_relset_1(U_7589,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_2(U_7589,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
| ~ v1_funct_1(U_7589) ),
inference(clausify,[status(thm)],[f_3039_3]) ).
fof(f_3040_1,plain,
! [A] :
( A = k8_vectsp_2
| ~ m1_subset_1(A,k1_tarski(k1_xboole_0)) ),
inference(fof_nnf,[status(thm)],[d18_vectsp_2]) ).
fof(f_3040_2,plain,
! [U_7590] :
( U_7590 = k8_vectsp_2
| ~ m1_subset_1(U_7590,k1_tarski(k1_xboole_0)) ),
inference(variable_rename,[status(thm)],[f_3040_1]) ).
fof(f_3040_3,plain,
! [U_7590] :
( U_7590 = k8_vectsp_2
| ~ m1_subset_1(U_7590,k1_tarski(k1_xboole_0)) ),
inference(definitional_conversion,[status(esa)],[f_3040_2]) ).
cnf(f_3040_4,plain,
( U_7590 = k8_vectsp_2
| ~ m1_subset_1(U_7590,k1_tarski(k1_xboole_0)) ),
inference(clausify,[status(thm)],[f_3040_3]) ).
fof(f_3041_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d19_vectsp_2]) ).
fof(f_3041_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3041_1]) ).
cnf(f_3041_3,plain,
$true,
inference(clausify,[status(thm)],[f_3041_2]) ).
fof(f_3042_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d20_vectsp_2]) ).
fof(f_3042_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3042_1]) ).
cnf(f_3042_3,plain,
$true,
inference(clausify,[status(thm)],[f_3042_2]) ).
fof(f_3043_1,plain,
! [A] :
( ! [B] :
( k9_vectsp_2(A,B) = g2_vectsp_2(A,B,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(A),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(B)))
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d21_vectsp_2]) ).
fof(f_3043_2,plain,
! [U_7592] :
( ! [U_7591] :
( k9_vectsp_2(U_7592,U_7591) = g2_vectsp_2(U_7592,U_7591,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(U_7592),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(U_7591)))
| ~ l3_vectsp_1(U_7591)
| ~ v8_vectsp_1(U_7591)
| ~ v7_vectsp_1(U_7591)
| ~ v6_vectsp_1(U_7591)
| ~ v4_group_1(U_7591)
| ~ v6_rlvect_1(U_7591)
| ~ v5_rlvect_1(U_7591)
| ~ v4_rlvect_1(U_7591)
| ~ v3_rlvect_1(U_7591)
| v3_struct_0(U_7591) )
| ~ l3_vectsp_1(U_7592)
| ~ v8_vectsp_1(U_7592)
| ~ v7_vectsp_1(U_7592)
| ~ v6_vectsp_1(U_7592)
| ~ v4_group_1(U_7592)
| ~ v6_rlvect_1(U_7592)
| ~ v5_rlvect_1(U_7592)
| ~ v4_rlvect_1(U_7592)
| ~ v3_rlvect_1(U_7592)
| v3_struct_0(U_7592) ),
inference(variable_rename,[status(thm)],[f_3043_1]) ).
fof(f_3043_3,plain,
! [U_7592,U_7591] :
( k9_vectsp_2(U_7592,U_7591) = g2_vectsp_2(U_7592,U_7591,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(U_7592),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(U_7591)))
| ~ l3_vectsp_1(U_7591)
| ~ v8_vectsp_1(U_7591)
| ~ v7_vectsp_1(U_7591)
| ~ v6_vectsp_1(U_7591)
| ~ v4_group_1(U_7591)
| ~ v6_rlvect_1(U_7591)
| ~ v5_rlvect_1(U_7591)
| ~ v4_rlvect_1(U_7591)
| ~ v3_rlvect_1(U_7591)
| v3_struct_0(U_7591)
| ~ l3_vectsp_1(U_7592)
| ~ v8_vectsp_1(U_7592)
| ~ v7_vectsp_1(U_7592)
| ~ v6_vectsp_1(U_7592)
| ~ v4_group_1(U_7592)
| ~ v6_rlvect_1(U_7592)
| ~ v5_rlvect_1(U_7592)
| ~ v4_rlvect_1(U_7592)
| ~ v3_rlvect_1(U_7592)
| v3_struct_0(U_7592) ),
inference(definitional_conversion,[status(esa)],[f_3043_2]) ).
cnf(f_3043_4,plain,
( k9_vectsp_2(U_7592,U_7591) = g2_vectsp_2(U_7592,U_7591,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(U_7592),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(U_7591)))
| ~ l3_vectsp_1(U_7591)
| ~ v8_vectsp_1(U_7591)
| ~ v7_vectsp_1(U_7591)
| ~ v6_vectsp_1(U_7591)
| ~ v4_group_1(U_7591)
| ~ v6_rlvect_1(U_7591)
| ~ v5_rlvect_1(U_7591)
| ~ v4_rlvect_1(U_7591)
| ~ v3_rlvect_1(U_7591)
| v3_struct_0(U_7591)
| ~ l3_vectsp_1(U_7592)
| ~ v8_vectsp_1(U_7592)
| ~ v7_vectsp_1(U_7592)
| ~ v6_vectsp_1(U_7592)
| ~ v4_group_1(U_7592)
| ~ v6_rlvect_1(U_7592)
| ~ v5_rlvect_1(U_7592)
| ~ v4_rlvect_1(U_7592)
| ~ v3_rlvect_1(U_7592)
| v3_struct_0(U_7592) ),
inference(clausify,[status(thm)],[f_3043_3]) ).
fof(f_3044_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t58_vectsp_2]) ).
fof(f_3044_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3044_1]) ).
cnf(f_3044_3,plain,
$true,
inference(clausify,[status(thm)],[f_3044_2]) ).
fof(f_3045_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t59_vectsp_2]) ).
fof(f_3045_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3045_1]) ).
cnf(f_3045_3,plain,
$true,
inference(clausify,[status(thm)],[f_3045_2]) ).
fof(f_3046_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t60_vectsp_2]) ).
fof(f_3046_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3046_1]) ).
cnf(f_3046_3,plain,
$true,
inference(clausify,[status(thm)],[f_3046_2]) ).
fof(f_3047_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t61_vectsp_2]) ).
fof(f_3047_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3047_1]) ).
cnf(f_3047_3,plain,
$true,
inference(clausify,[status(thm)],[f_3047_2]) ).
fof(f_3048_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t62_vectsp_2]) ).
fof(f_3048_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3048_1]) ).
cnf(f_3048_3,plain,
$true,
inference(clausify,[status(thm)],[f_3048_2]) ).
fof(f_3049_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t63_vectsp_2]) ).
fof(f_3049_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3049_1]) ).
cnf(f_3049_3,plain,
$true,
inference(clausify,[status(thm)],[f_3049_2]) ).
fof(f_3050_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t64_vectsp_2]) ).
fof(f_3050_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3050_1]) ).
cnf(f_3050_3,plain,
$true,
inference(clausify,[status(thm)],[f_3050_2]) ).
fof(f_3051_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t65_vectsp_2]) ).
fof(f_3051_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3051_1]) ).
cnf(f_3051_3,plain,
$true,
inference(clausify,[status(thm)],[f_3051_2]) ).
fof(f_3052_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t66_vectsp_2]) ).
fof(f_3052_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3052_1]) ).
cnf(f_3052_3,plain,
$true,
inference(clausify,[status(thm)],[f_3052_2]) ).
fof(f_3053_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t67_vectsp_2]) ).
fof(f_3053_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3053_1]) ).
cnf(f_3053_3,plain,
$true,
inference(clausify,[status(thm)],[f_3053_2]) ).
fof(f_3054_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t68_vectsp_2]) ).
fof(f_3054_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3054_1]) ).
cnf(f_3054_3,plain,
$true,
inference(clausify,[status(thm)],[f_3054_2]) ).
fof(f_3055_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t69_vectsp_2]) ).
fof(f_3055_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3055_1]) ).
cnf(f_3055_3,plain,
$true,
inference(clausify,[status(thm)],[f_3055_2]) ).
fof(f_3056_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t70_vectsp_2]) ).
fof(f_3056_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3056_1]) ).
cnf(f_3056_3,plain,
$true,
inference(clausify,[status(thm)],[f_3056_2]) ).
fof(f_3057_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( k6_vectsp_1(A,k4_vectsp_2(A),k2_group_1(A),D) = D
& k6_vectsp_1(A,k4_vectsp_2(A),k1_group_1(A,B,C),D) = k6_vectsp_1(A,k4_vectsp_2(A),B,k6_vectsp_1(A,k4_vectsp_2(A),C,D))
& k6_vectsp_1(A,k4_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),C,D))
& k6_vectsp_1(A,k4_vectsp_2(A),B,k4_rlvect_1(k4_vectsp_2(A),D,E)) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),B,E)) )
| ~ m1_subset_1(E,u1_struct_0(k4_vectsp_2(A))) )
| ~ m1_subset_1(D,u1_struct_0(k4_vectsp_2(A))) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t71_vectsp_2]) ).
fof(f_3057_2,plain,
! [U_7597] :
( ! [U_7596] :
( ! [U_7595] :
( ! [U_7594] :
( ! [U_7593] :
( ( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k2_group_1(U_7597),U_7594) = U_7594
& k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k1_group_1(U_7597,U_7596,U_7595),U_7594) = k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7595,U_7594))
& k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k4_rlvect_1(U_7597,U_7596,U_7595),U_7594) = k4_rlvect_1(k4_vectsp_2(U_7597),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7594),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7595,U_7594))
& k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,k4_rlvect_1(k4_vectsp_2(U_7597),U_7594,U_7593)) = k4_rlvect_1(k4_vectsp_2(U_7597),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7594),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7593)) )
| ~ m1_subset_1(U_7593,u1_struct_0(k4_vectsp_2(U_7597))) )
| ~ m1_subset_1(U_7594,u1_struct_0(k4_vectsp_2(U_7597))) )
| ~ m1_subset_1(U_7595,u1_struct_0(U_7597)) )
| ~ m1_subset_1(U_7596,u1_struct_0(U_7597)) )
| ~ l3_vectsp_1(U_7597)
| ~ v8_vectsp_1(U_7597)
| ~ v7_vectsp_1(U_7597)
| ~ v6_vectsp_1(U_7597)
| ~ v4_group_1(U_7597)
| ~ v6_rlvect_1(U_7597)
| ~ v5_rlvect_1(U_7597)
| ~ v4_rlvect_1(U_7597)
| ~ v3_rlvect_1(U_7597)
| v3_struct_0(U_7597) ),
inference(variable_rename,[status(thm)],[f_3057_1]) ).
fof(f_3057_3,plain,
( ! [U_7597,U_7595,U_7593,U_7596,U_7594] :
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k2_group_1(U_7597),U_7594) = U_7594
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) )
& ! [U_7597,U_7595,U_7593,U_7596,U_7594] :
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k1_group_1(U_7597,U_7596,U_7595),U_7594) = k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7595,U_7594))
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) )
& ! [U_7597,U_7595,U_7593,U_7596,U_7594] :
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k4_rlvect_1(U_7597,U_7596,U_7595),U_7594) = k4_rlvect_1(k4_vectsp_2(U_7597),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7594),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7595,U_7594))
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) )
& ! [U_7597,U_7595,U_7593,U_7596,U_7594] :
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,k4_rlvect_1(k4_vectsp_2(U_7597),U_7594,U_7593)) = k4_rlvect_1(k4_vectsp_2(U_7597),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7594),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7593))
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) )
& ! [U_7597,U_7595,U_7593,U_7596,U_7594] :
( sP1372(U_7597,U_7595,U_7593,U_7596,U_7594)
| ~ m1_subset_1(U_7593,u1_struct_0(k4_vectsp_2(U_7597)))
| ~ m1_subset_1(U_7594,u1_struct_0(k4_vectsp_2(U_7597)))
| ~ m1_subset_1(U_7595,u1_struct_0(U_7597))
| ~ m1_subset_1(U_7596,u1_struct_0(U_7597))
| ~ l3_vectsp_1(U_7597)
| ~ v8_vectsp_1(U_7597)
| ~ v7_vectsp_1(U_7597)
| ~ v6_vectsp_1(U_7597)
| ~ v4_group_1(U_7597)
| ~ v6_rlvect_1(U_7597)
| ~ v5_rlvect_1(U_7597)
| ~ v4_rlvect_1(U_7597)
| ~ v3_rlvect_1(U_7597)
| v3_struct_0(U_7597) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1372])],[f_3057_2]) ).
cnf(f_3057_4,plain,
( sP1372(U_7597,U_7595,U_7593,U_7596,U_7594)
| ~ m1_subset_1(U_7593,u1_struct_0(k4_vectsp_2(U_7597)))
| ~ m1_subset_1(U_7594,u1_struct_0(k4_vectsp_2(U_7597)))
| ~ m1_subset_1(U_7595,u1_struct_0(U_7597))
| ~ m1_subset_1(U_7596,u1_struct_0(U_7597))
| ~ l3_vectsp_1(U_7597)
| ~ v8_vectsp_1(U_7597)
| ~ v7_vectsp_1(U_7597)
| ~ v6_vectsp_1(U_7597)
| ~ v4_group_1(U_7597)
| ~ v6_rlvect_1(U_7597)
| ~ v5_rlvect_1(U_7597)
| ~ v4_rlvect_1(U_7597)
| ~ v3_rlvect_1(U_7597)
| v3_struct_0(U_7597) ),
inference(clausify,[status(thm)],[f_3057_3]) ).
cnf(f_3057_5,plain,
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,k4_rlvect_1(k4_vectsp_2(U_7597),U_7594,U_7593)) = k4_rlvect_1(k4_vectsp_2(U_7597),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7594),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7593))
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) ),
inference(clausify,[status(thm)],[f_3057_3]) ).
cnf(f_3057_6,plain,
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k4_rlvect_1(U_7597,U_7596,U_7595),U_7594) = k4_rlvect_1(k4_vectsp_2(U_7597),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,U_7594),k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7595,U_7594))
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) ),
inference(clausify,[status(thm)],[f_3057_3]) ).
cnf(f_3057_7,plain,
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k1_group_1(U_7597,U_7596,U_7595),U_7594) = k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7596,k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),U_7595,U_7594))
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) ),
inference(clausify,[status(thm)],[f_3057_3]) ).
cnf(f_3057_8,plain,
( k6_vectsp_1(U_7597,k4_vectsp_2(U_7597),k2_group_1(U_7597),U_7594) = U_7594
| ~ sP1372(U_7597,U_7595,U_7593,U_7596,U_7594) ),
inference(clausify,[status(thm)],[f_3057_3]) ).
fof(f_3058_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t72_vectsp_2]) ).
fof(f_3058_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3058_1]) ).
cnf(f_3058_3,plain,
$true,
inference(clausify,[status(thm)],[f_3058_2]) ).
fof(f_3059_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t73_vectsp_2]) ).
fof(f_3059_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3059_1]) ).
cnf(f_3059_3,plain,
$true,
inference(clausify,[status(thm)],[f_3059_2]) ).
fof(f_3060_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t74_vectsp_2]) ).
fof(f_3060_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3060_1]) ).
cnf(f_3060_3,plain,
$true,
inference(clausify,[status(thm)],[f_3060_2]) ).
fof(f_3061_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t75_vectsp_2]) ).
fof(f_3061_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3061_1]) ).
cnf(f_3061_3,plain,
$true,
inference(clausify,[status(thm)],[f_3061_2]) ).
fof(f_3062_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t76_vectsp_2]) ).
fof(f_3062_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3062_1]) ).
cnf(f_3062_3,plain,
$true,
inference(clausify,[status(thm)],[f_3062_2]) ).
fof(f_3063_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( k6_vectsp_2(A,k5_vectsp_2(A),k2_group_1(A),D) = D
& k6_vectsp_2(A,k5_vectsp_2(A),k1_group_1(A,C,B),D) = k6_vectsp_2(A,k5_vectsp_2(A),B,k6_vectsp_2(A,k5_vectsp_2(A),C,D))
& k6_vectsp_2(A,k5_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),C,D))
& k6_vectsp_2(A,k5_vectsp_2(A),B,k4_rlvect_1(k5_vectsp_2(A),D,E)) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),B,E)) )
| ~ m1_subset_1(E,u1_struct_0(k5_vectsp_2(A))) )
| ~ m1_subset_1(D,u1_struct_0(k5_vectsp_2(A))) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t77_vectsp_2]) ).
fof(f_3063_2,plain,
! [U_7602] :
( ! [U_7601] :
( ! [U_7600] :
( ! [U_7599] :
( ! [U_7598] :
( ( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k2_group_1(U_7602),U_7599) = U_7599
& k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k1_group_1(U_7602,U_7600,U_7601),U_7599) = k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7600,U_7599))
& k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k4_rlvect_1(U_7602,U_7601,U_7600),U_7599) = k4_rlvect_1(k5_vectsp_2(U_7602),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7599),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7600,U_7599))
& k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,k4_rlvect_1(k5_vectsp_2(U_7602),U_7599,U_7598)) = k4_rlvect_1(k5_vectsp_2(U_7602),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7599),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7598)) )
| ~ m1_subset_1(U_7598,u1_struct_0(k5_vectsp_2(U_7602))) )
| ~ m1_subset_1(U_7599,u1_struct_0(k5_vectsp_2(U_7602))) )
| ~ m1_subset_1(U_7600,u1_struct_0(U_7602)) )
| ~ m1_subset_1(U_7601,u1_struct_0(U_7602)) )
| ~ l3_vectsp_1(U_7602)
| ~ v8_vectsp_1(U_7602)
| ~ v7_vectsp_1(U_7602)
| ~ v6_vectsp_1(U_7602)
| ~ v4_group_1(U_7602)
| ~ v6_rlvect_1(U_7602)
| ~ v5_rlvect_1(U_7602)
| ~ v4_rlvect_1(U_7602)
| ~ v3_rlvect_1(U_7602)
| v3_struct_0(U_7602) ),
inference(variable_rename,[status(thm)],[f_3063_1]) ).
fof(f_3063_3,plain,
( ! [U_7601,U_7598,U_7599,U_7602,U_7600] :
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k2_group_1(U_7602),U_7599) = U_7599
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) )
& ! [U_7601,U_7598,U_7599,U_7602,U_7600] :
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k1_group_1(U_7602,U_7600,U_7601),U_7599) = k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7600,U_7599))
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) )
& ! [U_7601,U_7598,U_7599,U_7602,U_7600] :
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k4_rlvect_1(U_7602,U_7601,U_7600),U_7599) = k4_rlvect_1(k5_vectsp_2(U_7602),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7599),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7600,U_7599))
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) )
& ! [U_7601,U_7598,U_7599,U_7602,U_7600] :
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,k4_rlvect_1(k5_vectsp_2(U_7602),U_7599,U_7598)) = k4_rlvect_1(k5_vectsp_2(U_7602),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7599),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7598))
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) )
& ! [U_7601,U_7598,U_7599,U_7602,U_7600] :
( sP1373(U_7601,U_7598,U_7599,U_7602,U_7600)
| ~ m1_subset_1(U_7598,u1_struct_0(k5_vectsp_2(U_7602)))
| ~ m1_subset_1(U_7599,u1_struct_0(k5_vectsp_2(U_7602)))
| ~ m1_subset_1(U_7600,u1_struct_0(U_7602))
| ~ m1_subset_1(U_7601,u1_struct_0(U_7602))
| ~ l3_vectsp_1(U_7602)
| ~ v8_vectsp_1(U_7602)
| ~ v7_vectsp_1(U_7602)
| ~ v6_vectsp_1(U_7602)
| ~ v4_group_1(U_7602)
| ~ v6_rlvect_1(U_7602)
| ~ v5_rlvect_1(U_7602)
| ~ v4_rlvect_1(U_7602)
| ~ v3_rlvect_1(U_7602)
| v3_struct_0(U_7602) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1373])],[f_3063_2]) ).
cnf(f_3063_4,plain,
( sP1373(U_7601,U_7598,U_7599,U_7602,U_7600)
| ~ m1_subset_1(U_7598,u1_struct_0(k5_vectsp_2(U_7602)))
| ~ m1_subset_1(U_7599,u1_struct_0(k5_vectsp_2(U_7602)))
| ~ m1_subset_1(U_7600,u1_struct_0(U_7602))
| ~ m1_subset_1(U_7601,u1_struct_0(U_7602))
| ~ l3_vectsp_1(U_7602)
| ~ v8_vectsp_1(U_7602)
| ~ v7_vectsp_1(U_7602)
| ~ v6_vectsp_1(U_7602)
| ~ v4_group_1(U_7602)
| ~ v6_rlvect_1(U_7602)
| ~ v5_rlvect_1(U_7602)
| ~ v4_rlvect_1(U_7602)
| ~ v3_rlvect_1(U_7602)
| v3_struct_0(U_7602) ),
inference(clausify,[status(thm)],[f_3063_3]) ).
cnf(f_3063_5,plain,
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,k4_rlvect_1(k5_vectsp_2(U_7602),U_7599,U_7598)) = k4_rlvect_1(k5_vectsp_2(U_7602),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7599),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7598))
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) ),
inference(clausify,[status(thm)],[f_3063_3]) ).
cnf(f_3063_6,plain,
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k4_rlvect_1(U_7602,U_7601,U_7600),U_7599) = k4_rlvect_1(k5_vectsp_2(U_7602),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,U_7599),k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7600,U_7599))
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) ),
inference(clausify,[status(thm)],[f_3063_3]) ).
cnf(f_3063_7,plain,
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k1_group_1(U_7602,U_7600,U_7601),U_7599) = k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7601,k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),U_7600,U_7599))
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) ),
inference(clausify,[status(thm)],[f_3063_3]) ).
cnf(f_3063_8,plain,
( k6_vectsp_2(U_7602,k5_vectsp_2(U_7602),k2_group_1(U_7602),U_7599) = U_7599
| ~ sP1373(U_7601,U_7598,U_7599,U_7602,U_7600) ),
inference(clausify,[status(thm)],[f_3063_3]) ).
fof(f_3064_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d22_vectsp_2]) ).
fof(f_3064_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3064_1]) ).
cnf(f_3064_3,plain,
$true,
inference(clausify,[status(thm)],[f_3064_2]) ).
fof(f_3065_1,plain,
! [A] :
( ! [B] :
( ( ( v5_vectsp_2(B,A)
| ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ( k6_vectsp_2(A,B,k2_group_1(A),E) != E
| k6_vectsp_2(A,B,k1_group_1(A,D,C),E) != k6_vectsp_2(A,B,C,k6_vectsp_2(A,B,D,E))
| k6_vectsp_2(A,B,k2_rlvect_1(A,C,D),E) != k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,D,E))
| k6_vectsp_2(A,B,C,k2_rlvect_1(B,E,F)) != k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,C,F)) )
& m1_subset_1(F,u1_struct_0(B)) )
& m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ( k6_vectsp_2(A,B,k2_group_1(A),E) = E
& k6_vectsp_2(A,B,k1_group_1(A,D,C),E) = k6_vectsp_2(A,B,C,k6_vectsp_2(A,B,D,E))
& k6_vectsp_2(A,B,k2_rlvect_1(A,C,D),E) = k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,D,E))
& k6_vectsp_2(A,B,C,k2_rlvect_1(B,E,F)) = k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,C,F)) )
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v5_vectsp_2(B,A) ) )
| ~ l1_vectsp_2(B,A)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d23_vectsp_2]) ).
fof(f_3065_2,plain,
! [U_7612] :
( ! [U_7611] :
( ( ( v5_vectsp_2(U_7611,U_7612)
| ? [U_7610] :
( ? [U_7609] :
( ? [U_7608] :
( ? [U_7607] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7608) != U_7608
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7609,U_7610),U_7608) != k6_vectsp_2(U_7612,U_7611,U_7610,k6_vectsp_2(U_7612,U_7611,U_7609,U_7608))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7610,U_7609),U_7608) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7610,U_7608),k6_vectsp_2(U_7612,U_7611,U_7609,U_7608))
| k6_vectsp_2(U_7612,U_7611,U_7610,k2_rlvect_1(U_7611,U_7608,U_7607)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7610,U_7608),k6_vectsp_2(U_7612,U_7611,U_7610,U_7607)) )
& m1_subset_1(U_7607,u1_struct_0(U_7611)) )
& m1_subset_1(U_7608,u1_struct_0(U_7611)) )
& m1_subset_1(U_7609,u1_struct_0(U_7612)) )
& m1_subset_1(U_7610,u1_struct_0(U_7612)) ) )
& ( ! [U_7606] :
( ! [U_7605] :
( ! [U_7604] :
( ! [U_7603] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
& k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603)) )
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612)) )
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612)) )
| ~ v5_vectsp_2(U_7611,U_7612) ) )
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611) )
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ),
inference(variable_rename,[status(thm)],[f_3065_1]) ).
fof(f_3065_3,plain,
! [U_7612] :
( ! [U_7611] :
( ( ( v5_vectsp_2(U_7611,U_7612)
| ( ? [U_7609] :
( ? [U_7608] :
( ? [U_7607] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7608) != U_7608
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7609,sK921(U_7612,U_7611)),U_7608) != k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k6_vectsp_2(U_7612,U_7611,U_7609,U_7608))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,sK921(U_7612,U_7611),U_7609),U_7608) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7608),k6_vectsp_2(U_7612,U_7611,U_7609,U_7608))
| k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k2_rlvect_1(U_7611,U_7608,U_7607)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7608),k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7607)) )
& m1_subset_1(U_7607,u1_struct_0(U_7611)) )
& m1_subset_1(U_7608,u1_struct_0(U_7611)) )
& m1_subset_1(U_7609,u1_struct_0(U_7612)) )
& m1_subset_1(sK921(U_7612,U_7611),u1_struct_0(U_7612)) ) )
& ( ! [U_7606] :
( ! [U_7605] :
( ! [U_7604] :
( ! [U_7603] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
& k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603)) )
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612)) )
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612)) )
| ~ v5_vectsp_2(U_7611,U_7612) ) )
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611) )
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK921]),skolemize(U_7610,sK921(U_7612,U_7611))],[f_3065_2]) ).
fof(f_3065_4,plain,
! [U_7612] :
( ! [U_7611] :
( ( ( v5_vectsp_2(U_7611,U_7612)
| ( ? [U_7608] :
( ? [U_7607] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7608) != U_7608
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,sK922(U_7612,U_7611),sK921(U_7612,U_7611)),U_7608) != k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),U_7608))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,sK921(U_7612,U_7611),sK922(U_7612,U_7611)),U_7608) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7608),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),U_7608))
| k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k2_rlvect_1(U_7611,U_7608,U_7607)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7608),k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7607)) )
& m1_subset_1(U_7607,u1_struct_0(U_7611)) )
& m1_subset_1(U_7608,u1_struct_0(U_7611)) )
& m1_subset_1(sK922(U_7612,U_7611),u1_struct_0(U_7612))
& m1_subset_1(sK921(U_7612,U_7611),u1_struct_0(U_7612)) ) )
& ( ! [U_7606] :
( ! [U_7605] :
( ! [U_7604] :
( ! [U_7603] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
& k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603)) )
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612)) )
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612)) )
| ~ v5_vectsp_2(U_7611,U_7612) ) )
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611) )
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK922]),skolemize(U_7609,sK922(U_7612,U_7611))],[f_3065_3]) ).
fof(f_3065_5,plain,
! [U_7612] :
( ! [U_7611] :
( ( ( v5_vectsp_2(U_7611,U_7612)
| ( ? [U_7607] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),sK923(U_7612,U_7611)) != sK923(U_7612,U_7611)
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,sK922(U_7612,U_7611),sK921(U_7612,U_7611)),sK923(U_7612,U_7611)) != k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,sK921(U_7612,U_7611),sK922(U_7612,U_7611)),sK923(U_7612,U_7611)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k2_rlvect_1(U_7611,sK923(U_7612,U_7611),U_7607)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),U_7607)) )
& m1_subset_1(U_7607,u1_struct_0(U_7611)) )
& m1_subset_1(sK923(U_7612,U_7611),u1_struct_0(U_7611))
& m1_subset_1(sK922(U_7612,U_7611),u1_struct_0(U_7612))
& m1_subset_1(sK921(U_7612,U_7611),u1_struct_0(U_7612)) ) )
& ( ! [U_7606] :
( ! [U_7605] :
( ! [U_7604] :
( ! [U_7603] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
& k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603)) )
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612)) )
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612)) )
| ~ v5_vectsp_2(U_7611,U_7612) ) )
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611) )
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK923]),skolemize(U_7608,sK923(U_7612,U_7611))],[f_3065_4]) ).
fof(f_3065_6,plain,
! [U_7612] :
( ! [U_7611] :
( ( ( v5_vectsp_2(U_7611,U_7612)
| ( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),sK923(U_7612,U_7611)) != sK923(U_7612,U_7611)
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,sK922(U_7612,U_7611),sK921(U_7612,U_7611)),sK923(U_7612,U_7611)) != k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,sK921(U_7612,U_7611),sK922(U_7612,U_7611)),sK923(U_7612,U_7611)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k2_rlvect_1(U_7611,sK923(U_7612,U_7611),sK924(U_7612,U_7611))) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK924(U_7612,U_7611))) )
& m1_subset_1(sK924(U_7612,U_7611),u1_struct_0(U_7611))
& m1_subset_1(sK923(U_7612,U_7611),u1_struct_0(U_7611))
& m1_subset_1(sK922(U_7612,U_7611),u1_struct_0(U_7612))
& m1_subset_1(sK921(U_7612,U_7611),u1_struct_0(U_7612)) ) )
& ( ! [U_7606] :
( ! [U_7605] :
( ! [U_7604] :
( ! [U_7603] :
( ( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
& k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
& k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603)) )
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611)) )
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612)) )
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612)) )
| ~ v5_vectsp_2(U_7611,U_7612) ) )
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611) )
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK924]),skolemize(U_7607,sK924(U_7612,U_7611))],[f_3065_5]) ).
fof(f_3065_7,plain,
( ! [U_7611,U_7612] :
( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),sK923(U_7612,U_7611)) != sK923(U_7612,U_7611)
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,sK922(U_7612,U_7611),sK921(U_7612,U_7611)),sK923(U_7612,U_7611)) != k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,sK921(U_7612,U_7611),sK922(U_7612,U_7611)),sK923(U_7612,U_7611)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k2_rlvect_1(U_7611,sK923(U_7612,U_7611),sK924(U_7612,U_7611))) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK924(U_7612,U_7611)))
| ~ sP1375(U_7611,U_7612) )
& ! [U_7611,U_7612] :
( m1_subset_1(sK924(U_7612,U_7611),u1_struct_0(U_7611))
| ~ sP1375(U_7611,U_7612) )
& ! [U_7611,U_7612] :
( m1_subset_1(sK923(U_7612,U_7611),u1_struct_0(U_7611))
| ~ sP1375(U_7611,U_7612) )
& ! [U_7611,U_7612] :
( m1_subset_1(sK922(U_7612,U_7611),u1_struct_0(U_7612))
| ~ sP1375(U_7611,U_7612) )
& ! [U_7611,U_7612] :
( m1_subset_1(sK921(U_7612,U_7611),u1_struct_0(U_7612))
| ~ sP1375(U_7611,U_7612) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603))
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( v5_vectsp_2(U_7611,U_7612)
| sP1375(U_7611,U_7612)
| ~ sP1376(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606)
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611))
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611))
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612))
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612))
| ~ v5_vectsp_2(U_7611,U_7612)
| ~ sP1376(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) )
& ! [U_7604,U_7603,U_7611,U_7612,U_7605,U_7606] :
( sP1376(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606)
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611)
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1374,sP1375,sP1376])],[f_3065_6]) ).
cnf(f_3065_8,plain,
( sP1376(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606)
| ~ l1_vectsp_2(U_7611,U_7612)
| v3_struct_0(U_7611)
| ~ l3_vectsp_1(U_7612)
| v3_struct_0(U_7612) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_9,plain,
( sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606)
| ~ m1_subset_1(U_7603,u1_struct_0(U_7611))
| ~ m1_subset_1(U_7604,u1_struct_0(U_7611))
| ~ m1_subset_1(U_7605,u1_struct_0(U_7612))
| ~ m1_subset_1(U_7606,u1_struct_0(U_7612))
| ~ v5_vectsp_2(U_7611,U_7612)
| ~ sP1376(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_10,plain,
( v5_vectsp_2(U_7611,U_7612)
| sP1375(U_7611,U_7612)
| ~ sP1376(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_11,plain,
( k6_vectsp_2(U_7612,U_7611,U_7606,k2_rlvect_1(U_7611,U_7604,U_7603)) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7606,U_7603))
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_12,plain,
( k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,U_7606,U_7605),U_7604) = k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,U_7606,U_7604),k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_13,plain,
( k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,U_7605,U_7606),U_7604) = k6_vectsp_2(U_7612,U_7611,U_7606,k6_vectsp_2(U_7612,U_7611,U_7605,U_7604))
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_14,plain,
( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),U_7604) = U_7604
| ~ sP1374(U_7604,U_7603,U_7611,U_7612,U_7605,U_7606) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_15,plain,
( m1_subset_1(sK921(U_7612,U_7611),u1_struct_0(U_7612))
| ~ sP1375(U_7611,U_7612) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_16,plain,
( m1_subset_1(sK922(U_7612,U_7611),u1_struct_0(U_7612))
| ~ sP1375(U_7611,U_7612) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_17,plain,
( m1_subset_1(sK923(U_7612,U_7611),u1_struct_0(U_7611))
| ~ sP1375(U_7611,U_7612) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_18,plain,
( m1_subset_1(sK924(U_7612,U_7611),u1_struct_0(U_7611))
| ~ sP1375(U_7611,U_7612) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
cnf(f_3065_19,plain,
( k6_vectsp_2(U_7612,U_7611,k2_group_1(U_7612),sK923(U_7612,U_7611)) != sK923(U_7612,U_7611)
| k6_vectsp_2(U_7612,U_7611,k1_group_1(U_7612,sK922(U_7612,U_7611),sK921(U_7612,U_7611)),sK923(U_7612,U_7611)) != k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,k2_rlvect_1(U_7612,sK921(U_7612,U_7611),sK922(U_7612,U_7611)),sK923(U_7612,U_7611)) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK922(U_7612,U_7611),sK923(U_7612,U_7611)))
| k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),k2_rlvect_1(U_7611,sK923(U_7612,U_7611),sK924(U_7612,U_7611))) != k2_rlvect_1(U_7611,k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK923(U_7612,U_7611)),k6_vectsp_2(U_7612,U_7611,sK921(U_7612,U_7611),sK924(U_7612,U_7611)))
| ~ sP1375(U_7611,U_7612) ),
inference(clausify,[status(thm)],[f_3065_7]) ).
fof(f_3066_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( v6_vectsp_2(C,A,B)
| ? [D] :
( ? [E] :
( ? [F] :
( k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,E,F)) != k6_vectsp_2(B,C,E,k6_vectsp_1(A,C,D,F))
& m1_subset_1(F,u1_struct_0(C)) )
& m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,u1_struct_0(A)) ) )
& ( ! [D] :
( ! [E] :
( ! [F] :
( k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,E,F)) = k6_vectsp_2(B,C,E,k6_vectsp_1(A,C,D,F))
| ~ m1_subset_1(F,u1_struct_0(C)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ v6_vectsp_2(C,A,B) ) )
| ~ l2_vectsp_2(C,A,B)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d24_vectsp_2]) ).
fof(f_3066_2,plain,
! [U_7621] :
( ! [U_7620] :
( ! [U_7619] :
( ( ( v6_vectsp_2(U_7619,U_7621,U_7620)
| ? [U_7618] :
( ? [U_7617] :
( ? [U_7616] :
( k6_vectsp_1(U_7621,U_7619,U_7618,k6_vectsp_2(U_7620,U_7619,U_7617,U_7616)) != k6_vectsp_2(U_7620,U_7619,U_7617,k6_vectsp_1(U_7621,U_7619,U_7618,U_7616))
& m1_subset_1(U_7616,u1_struct_0(U_7619)) )
& m1_subset_1(U_7617,u1_struct_0(U_7620)) )
& m1_subset_1(U_7618,u1_struct_0(U_7621)) ) )
& ( ! [U_7615] :
( ! [U_7614] :
( ! [U_7613] :
( k6_vectsp_1(U_7621,U_7619,U_7615,k6_vectsp_2(U_7620,U_7619,U_7614,U_7613)) = k6_vectsp_2(U_7620,U_7619,U_7614,k6_vectsp_1(U_7621,U_7619,U_7615,U_7613))
| ~ m1_subset_1(U_7613,u1_struct_0(U_7619)) )
| ~ m1_subset_1(U_7614,u1_struct_0(U_7620)) )
| ~ m1_subset_1(U_7615,u1_struct_0(U_7621)) )
| ~ v6_vectsp_2(U_7619,U_7621,U_7620) ) )
| ~ l2_vectsp_2(U_7619,U_7621,U_7620)
| v3_struct_0(U_7619) )
| ~ l3_vectsp_1(U_7620)
| ~ v8_vectsp_1(U_7620)
| ~ v7_vectsp_1(U_7620)
| ~ v6_vectsp_1(U_7620)
| ~ v4_group_1(U_7620)
| ~ v6_rlvect_1(U_7620)
| ~ v5_rlvect_1(U_7620)
| ~ v4_rlvect_1(U_7620)
| ~ v3_rlvect_1(U_7620)
| v3_struct_0(U_7620) )
| ~ l3_vectsp_1(U_7621)
| ~ v8_vectsp_1(U_7621)
| ~ v7_vectsp_1(U_7621)
| ~ v6_vectsp_1(U_7621)
| ~ v4_group_1(U_7621)
| ~ v6_rlvect_1(U_7621)
| ~ v5_rlvect_1(U_7621)
| ~ v4_rlvect_1(U_7621)
| ~ v3_rlvect_1(U_7621)
| v3_struct_0(U_7621) ),
inference(variable_rename,[status(thm)],[f_3066_1]) ).
fof(f_3066_3,plain,
! [U_7621] :
( ! [U_7620] :
( ! [U_7619] :
( ( ( v6_vectsp_2(U_7619,U_7621,U_7620)
| ( ? [U_7617] :
( ? [U_7616] :
( k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),k6_vectsp_2(U_7620,U_7619,U_7617,U_7616)) != k6_vectsp_2(U_7620,U_7619,U_7617,k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),U_7616))
& m1_subset_1(U_7616,u1_struct_0(U_7619)) )
& m1_subset_1(U_7617,u1_struct_0(U_7620)) )
& m1_subset_1(sK925(U_7621,U_7620,U_7619),u1_struct_0(U_7621)) ) )
& ( ! [U_7615] :
( ! [U_7614] :
( ! [U_7613] :
( k6_vectsp_1(U_7621,U_7619,U_7615,k6_vectsp_2(U_7620,U_7619,U_7614,U_7613)) = k6_vectsp_2(U_7620,U_7619,U_7614,k6_vectsp_1(U_7621,U_7619,U_7615,U_7613))
| ~ m1_subset_1(U_7613,u1_struct_0(U_7619)) )
| ~ m1_subset_1(U_7614,u1_struct_0(U_7620)) )
| ~ m1_subset_1(U_7615,u1_struct_0(U_7621)) )
| ~ v6_vectsp_2(U_7619,U_7621,U_7620) ) )
| ~ l2_vectsp_2(U_7619,U_7621,U_7620)
| v3_struct_0(U_7619) )
| ~ l3_vectsp_1(U_7620)
| ~ v8_vectsp_1(U_7620)
| ~ v7_vectsp_1(U_7620)
| ~ v6_vectsp_1(U_7620)
| ~ v4_group_1(U_7620)
| ~ v6_rlvect_1(U_7620)
| ~ v5_rlvect_1(U_7620)
| ~ v4_rlvect_1(U_7620)
| ~ v3_rlvect_1(U_7620)
| v3_struct_0(U_7620) )
| ~ l3_vectsp_1(U_7621)
| ~ v8_vectsp_1(U_7621)
| ~ v7_vectsp_1(U_7621)
| ~ v6_vectsp_1(U_7621)
| ~ v4_group_1(U_7621)
| ~ v6_rlvect_1(U_7621)
| ~ v5_rlvect_1(U_7621)
| ~ v4_rlvect_1(U_7621)
| ~ v3_rlvect_1(U_7621)
| v3_struct_0(U_7621) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK925]),skolemize(U_7618,sK925(U_7621,U_7620,U_7619))],[f_3066_2]) ).
fof(f_3066_4,plain,
! [U_7621] :
( ! [U_7620] :
( ! [U_7619] :
( ( ( v6_vectsp_2(U_7619,U_7621,U_7620)
| ( ? [U_7616] :
( k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),U_7616)) != k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),U_7616))
& m1_subset_1(U_7616,u1_struct_0(U_7619)) )
& m1_subset_1(sK926(U_7621,U_7620,U_7619),u1_struct_0(U_7620))
& m1_subset_1(sK925(U_7621,U_7620,U_7619),u1_struct_0(U_7621)) ) )
& ( ! [U_7615] :
( ! [U_7614] :
( ! [U_7613] :
( k6_vectsp_1(U_7621,U_7619,U_7615,k6_vectsp_2(U_7620,U_7619,U_7614,U_7613)) = k6_vectsp_2(U_7620,U_7619,U_7614,k6_vectsp_1(U_7621,U_7619,U_7615,U_7613))
| ~ m1_subset_1(U_7613,u1_struct_0(U_7619)) )
| ~ m1_subset_1(U_7614,u1_struct_0(U_7620)) )
| ~ m1_subset_1(U_7615,u1_struct_0(U_7621)) )
| ~ v6_vectsp_2(U_7619,U_7621,U_7620) ) )
| ~ l2_vectsp_2(U_7619,U_7621,U_7620)
| v3_struct_0(U_7619) )
| ~ l3_vectsp_1(U_7620)
| ~ v8_vectsp_1(U_7620)
| ~ v7_vectsp_1(U_7620)
| ~ v6_vectsp_1(U_7620)
| ~ v4_group_1(U_7620)
| ~ v6_rlvect_1(U_7620)
| ~ v5_rlvect_1(U_7620)
| ~ v4_rlvect_1(U_7620)
| ~ v3_rlvect_1(U_7620)
| v3_struct_0(U_7620) )
| ~ l3_vectsp_1(U_7621)
| ~ v8_vectsp_1(U_7621)
| ~ v7_vectsp_1(U_7621)
| ~ v6_vectsp_1(U_7621)
| ~ v4_group_1(U_7621)
| ~ v6_rlvect_1(U_7621)
| ~ v5_rlvect_1(U_7621)
| ~ v4_rlvect_1(U_7621)
| ~ v3_rlvect_1(U_7621)
| v3_struct_0(U_7621) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK926]),skolemize(U_7617,sK926(U_7621,U_7620,U_7619))],[f_3066_3]) ).
fof(f_3066_5,plain,
! [U_7621] :
( ! [U_7620] :
( ! [U_7619] :
( ( ( v6_vectsp_2(U_7619,U_7621,U_7620)
| ( k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),sK927(U_7621,U_7620,U_7619))) != k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),sK927(U_7621,U_7620,U_7619)))
& m1_subset_1(sK927(U_7621,U_7620,U_7619),u1_struct_0(U_7619))
& m1_subset_1(sK926(U_7621,U_7620,U_7619),u1_struct_0(U_7620))
& m1_subset_1(sK925(U_7621,U_7620,U_7619),u1_struct_0(U_7621)) ) )
& ( ! [U_7615] :
( ! [U_7614] :
( ! [U_7613] :
( k6_vectsp_1(U_7621,U_7619,U_7615,k6_vectsp_2(U_7620,U_7619,U_7614,U_7613)) = k6_vectsp_2(U_7620,U_7619,U_7614,k6_vectsp_1(U_7621,U_7619,U_7615,U_7613))
| ~ m1_subset_1(U_7613,u1_struct_0(U_7619)) )
| ~ m1_subset_1(U_7614,u1_struct_0(U_7620)) )
| ~ m1_subset_1(U_7615,u1_struct_0(U_7621)) )
| ~ v6_vectsp_2(U_7619,U_7621,U_7620) ) )
| ~ l2_vectsp_2(U_7619,U_7621,U_7620)
| v3_struct_0(U_7619) )
| ~ l3_vectsp_1(U_7620)
| ~ v8_vectsp_1(U_7620)
| ~ v7_vectsp_1(U_7620)
| ~ v6_vectsp_1(U_7620)
| ~ v4_group_1(U_7620)
| ~ v6_rlvect_1(U_7620)
| ~ v5_rlvect_1(U_7620)
| ~ v4_rlvect_1(U_7620)
| ~ v3_rlvect_1(U_7620)
| v3_struct_0(U_7620) )
| ~ l3_vectsp_1(U_7621)
| ~ v8_vectsp_1(U_7621)
| ~ v7_vectsp_1(U_7621)
| ~ v6_vectsp_1(U_7621)
| ~ v4_group_1(U_7621)
| ~ v6_rlvect_1(U_7621)
| ~ v5_rlvect_1(U_7621)
| ~ v4_rlvect_1(U_7621)
| ~ v3_rlvect_1(U_7621)
| v3_struct_0(U_7621) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK927]),skolemize(U_7616,sK927(U_7621,U_7620,U_7619))],[f_3066_4]) ).
fof(f_3066_6,plain,
( ! [U_7620,U_7619,U_7621] :
( k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),sK927(U_7621,U_7620,U_7619))) != k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),sK927(U_7621,U_7620,U_7619)))
| ~ sP1377(U_7620,U_7619,U_7621) )
& ! [U_7620,U_7619,U_7621] :
( m1_subset_1(sK927(U_7621,U_7620,U_7619),u1_struct_0(U_7619))
| ~ sP1377(U_7620,U_7619,U_7621) )
& ! [U_7620,U_7619,U_7621] :
( m1_subset_1(sK926(U_7621,U_7620,U_7619),u1_struct_0(U_7620))
| ~ sP1377(U_7620,U_7619,U_7621) )
& ! [U_7620,U_7619,U_7621] :
( m1_subset_1(sK925(U_7621,U_7620,U_7619),u1_struct_0(U_7621))
| ~ sP1377(U_7620,U_7619,U_7621) )
& ! [U_7620,U_7619,U_7615,U_7614,U_7613,U_7621] :
( v6_vectsp_2(U_7619,U_7621,U_7620)
| sP1377(U_7620,U_7619,U_7621)
| ~ sP1378(U_7620,U_7619,U_7615,U_7614,U_7613,U_7621) )
& ! [U_7620,U_7619,U_7615,U_7614,U_7613,U_7621] :
( k6_vectsp_1(U_7621,U_7619,U_7615,k6_vectsp_2(U_7620,U_7619,U_7614,U_7613)) = k6_vectsp_2(U_7620,U_7619,U_7614,k6_vectsp_1(U_7621,U_7619,U_7615,U_7613))
| ~ m1_subset_1(U_7613,u1_struct_0(U_7619))
| ~ m1_subset_1(U_7614,u1_struct_0(U_7620))
| ~ m1_subset_1(U_7615,u1_struct_0(U_7621))
| ~ v6_vectsp_2(U_7619,U_7621,U_7620)
| ~ sP1378(U_7620,U_7619,U_7615,U_7614,U_7613,U_7621) )
& ! [U_7620,U_7619,U_7615,U_7614,U_7613,U_7621] :
( sP1378(U_7620,U_7619,U_7615,U_7614,U_7613,U_7621)
| ~ l2_vectsp_2(U_7619,U_7621,U_7620)
| v3_struct_0(U_7619)
| ~ l3_vectsp_1(U_7620)
| ~ v8_vectsp_1(U_7620)
| ~ v7_vectsp_1(U_7620)
| ~ v6_vectsp_1(U_7620)
| ~ v4_group_1(U_7620)
| ~ v6_rlvect_1(U_7620)
| ~ v5_rlvect_1(U_7620)
| ~ v4_rlvect_1(U_7620)
| ~ v3_rlvect_1(U_7620)
| v3_struct_0(U_7620)
| ~ l3_vectsp_1(U_7621)
| ~ v8_vectsp_1(U_7621)
| ~ v7_vectsp_1(U_7621)
| ~ v6_vectsp_1(U_7621)
| ~ v4_group_1(U_7621)
| ~ v6_rlvect_1(U_7621)
| ~ v5_rlvect_1(U_7621)
| ~ v4_rlvect_1(U_7621)
| ~ v3_rlvect_1(U_7621)
| v3_struct_0(U_7621) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1377,sP1378])],[f_3066_5]) ).
cnf(f_3066_7,plain,
( sP1378(U_7620,U_7619,U_7615,U_7614,U_7613,U_7621)
| ~ l2_vectsp_2(U_7619,U_7621,U_7620)
| v3_struct_0(U_7619)
| ~ l3_vectsp_1(U_7620)
| ~ v8_vectsp_1(U_7620)
| ~ v7_vectsp_1(U_7620)
| ~ v6_vectsp_1(U_7620)
| ~ v4_group_1(U_7620)
| ~ v6_rlvect_1(U_7620)
| ~ v5_rlvect_1(U_7620)
| ~ v4_rlvect_1(U_7620)
| ~ v3_rlvect_1(U_7620)
| v3_struct_0(U_7620)
| ~ l3_vectsp_1(U_7621)
| ~ v8_vectsp_1(U_7621)
| ~ v7_vectsp_1(U_7621)
| ~ v6_vectsp_1(U_7621)
| ~ v4_group_1(U_7621)
| ~ v6_rlvect_1(U_7621)
| ~ v5_rlvect_1(U_7621)
| ~ v4_rlvect_1(U_7621)
| ~ v3_rlvect_1(U_7621)
| v3_struct_0(U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
cnf(f_3066_8,plain,
( k6_vectsp_1(U_7621,U_7619,U_7615,k6_vectsp_2(U_7620,U_7619,U_7614,U_7613)) = k6_vectsp_2(U_7620,U_7619,U_7614,k6_vectsp_1(U_7621,U_7619,U_7615,U_7613))
| ~ m1_subset_1(U_7613,u1_struct_0(U_7619))
| ~ m1_subset_1(U_7614,u1_struct_0(U_7620))
| ~ m1_subset_1(U_7615,u1_struct_0(U_7621))
| ~ v6_vectsp_2(U_7619,U_7621,U_7620)
| ~ sP1378(U_7620,U_7619,U_7615,U_7614,U_7613,U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
cnf(f_3066_9,plain,
( v6_vectsp_2(U_7619,U_7621,U_7620)
| sP1377(U_7620,U_7619,U_7621)
| ~ sP1378(U_7620,U_7619,U_7615,U_7614,U_7613,U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
cnf(f_3066_10,plain,
( m1_subset_1(sK925(U_7621,U_7620,U_7619),u1_struct_0(U_7621))
| ~ sP1377(U_7620,U_7619,U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
cnf(f_3066_11,plain,
( m1_subset_1(sK926(U_7621,U_7620,U_7619),u1_struct_0(U_7620))
| ~ sP1377(U_7620,U_7619,U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
cnf(f_3066_12,plain,
( m1_subset_1(sK927(U_7621,U_7620,U_7619),u1_struct_0(U_7619))
| ~ sP1377(U_7620,U_7619,U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
cnf(f_3066_13,plain,
( k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),sK927(U_7621,U_7620,U_7619))) != k6_vectsp_2(U_7620,U_7619,sK926(U_7621,U_7620,U_7619),k6_vectsp_1(U_7621,U_7619,sK925(U_7621,U_7620,U_7619),sK927(U_7621,U_7620,U_7619)))
| ~ sP1377(U_7620,U_7619,U_7621) ),
inference(clausify,[status(thm)],[f_3066_6]) ).
fof(f_3067_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t78_vectsp_2]) ).
fof(f_3067_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3067_1]) ).
cnf(f_3067_3,plain,
$true,
inference(clausify,[status(thm)],[f_3067_2]) ).
fof(f_3068_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t79_vectsp_2]) ).
fof(f_3068_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3068_1]) ).
cnf(f_3068_3,plain,
$true,
inference(clausify,[status(thm)],[f_3068_2]) ).
fof(f_3069_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t80_vectsp_2]) ).
fof(f_3069_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3069_1]) ).
cnf(f_3069_3,plain,
$true,
inference(clausify,[status(thm)],[f_3069_2]) ).
fof(f_3070_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t81_vectsp_2]) ).
fof(f_3070_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3070_1]) ).
cnf(f_3070_3,plain,
$true,
inference(clausify,[status(thm)],[f_3070_2]) ).
fof(f_3071_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t82_vectsp_2]) ).
fof(f_3071_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3071_1]) ).
cnf(f_3071_3,plain,
$true,
inference(clausify,[status(thm)],[f_3071_2]) ).
fof(f_3072_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( ! [H] :
( ! [I] :
( ( k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,F,H)) = k6_vectsp_2(B,C,F,k6_vectsp_1(A,C,D,H))
& k6_vectsp_2(B,C,k2_group_1(B),H) = H
& k6_vectsp_2(B,C,k1_group_1(B,G,F),H) = k6_vectsp_2(B,C,F,k6_vectsp_2(B,C,G,H))
& k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),H) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,G,H))
& k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,F,I))
& k6_vectsp_1(A,C,k2_group_1(A),H) = H
& k6_vectsp_1(A,C,k1_group_1(A,D,E),H) = k6_vectsp_1(A,C,D,k6_vectsp_1(A,C,E,H))
& k6_vectsp_1(A,C,k4_rlvect_1(A,D,E),H) = k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,E,H))
& k6_vectsp_1(A,C,D,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,D,I)) )
| ~ m1_subset_1(I,u1_struct_0(C)) )
| ~ m1_subset_1(H,u1_struct_0(C)) )
| ~ m1_subset_1(G,u1_struct_0(B)) )
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(A)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ v6_vectsp_2(C,A,B)
| ~ v12_vectsp_1(C,A)
| ~ v5_vectsp_2(C,B) )
& ( ( v6_vectsp_2(C,A,B)
& v12_vectsp_1(C,A)
& v5_vectsp_2(C,B) )
| ? [D] :
( ? [E] :
( ? [F] :
( ? [G] :
( ? [H] :
( ? [I] :
( ( k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,F,H)) != k6_vectsp_2(B,C,F,k6_vectsp_1(A,C,D,H))
| k6_vectsp_2(B,C,k2_group_1(B),H) != H
| k6_vectsp_2(B,C,k1_group_1(B,G,F),H) != k6_vectsp_2(B,C,F,k6_vectsp_2(B,C,G,H))
| k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),H) != k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,G,H))
| k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I)) != k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,F,I))
| k6_vectsp_1(A,C,k2_group_1(A),H) != H
| k6_vectsp_1(A,C,k1_group_1(A,D,E),H) != k6_vectsp_1(A,C,D,k6_vectsp_1(A,C,E,H))
| k6_vectsp_1(A,C,k4_rlvect_1(A,D,E),H) != k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,E,H))
| k6_vectsp_1(A,C,D,k2_rlvect_1(C,H,I)) != k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,D,I)) )
& m1_subset_1(I,u1_struct_0(C)) )
& m1_subset_1(H,u1_struct_0(C)) )
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) )
& m1_subset_1(E,u1_struct_0(A)) )
& m1_subset_1(D,u1_struct_0(A)) ) ) )
| ~ l2_vectsp_2(C,A,B)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t83_vectsp_2]) ).
fof(f_3072_2,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ? [U_7627] :
( ? [U_7626] :
( ? [U_7625] :
( ? [U_7624] :
( ? [U_7623] :
( ? [U_7622] :
( ( k6_vectsp_1(U_7636,U_7634,U_7627,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623)) != k6_vectsp_2(U_7635,U_7634,U_7625,k6_vectsp_1(U_7636,U_7634,U_7627,U_7623))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7623) != U_7623
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7624,U_7625),U_7623) != k6_vectsp_2(U_7635,U_7634,U_7625,k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7625,U_7624),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623),k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,U_7625,k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623),k6_vectsp_2(U_7635,U_7634,U_7625,U_7622))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7623) != U_7623
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7627,U_7626),U_7623) != k6_vectsp_1(U_7636,U_7634,U_7627,k6_vectsp_1(U_7636,U_7634,U_7626,U_7623))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7627,U_7626),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7627,U_7623),k6_vectsp_1(U_7636,U_7634,U_7626,U_7623))
| k6_vectsp_1(U_7636,U_7634,U_7627,k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7627,U_7623),k6_vectsp_1(U_7636,U_7634,U_7627,U_7622)) )
& m1_subset_1(U_7622,u1_struct_0(U_7634)) )
& m1_subset_1(U_7623,u1_struct_0(U_7634)) )
& m1_subset_1(U_7624,u1_struct_0(U_7635)) )
& m1_subset_1(U_7625,u1_struct_0(U_7635)) )
& m1_subset_1(U_7626,u1_struct_0(U_7636)) )
& m1_subset_1(U_7627,u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(variable_rename,[status(thm)],[f_3072_1]) ).
fof(f_3072_3,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ( ? [U_7626] :
( ? [U_7625] :
( ? [U_7624] :
( ? [U_7623] :
( ? [U_7622] :
( ( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,U_7625,U_7623)) != k6_vectsp_2(U_7635,U_7634,U_7625,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7623) != U_7623
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7624,U_7625),U_7623) != k6_vectsp_2(U_7635,U_7634,U_7625,k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7625,U_7624),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623),k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,U_7625,k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623),k6_vectsp_2(U_7635,U_7634,U_7625,U_7622))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7623) != U_7623
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),U_7626),U_7623) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,U_7626,U_7623))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),U_7626),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,U_7626,U_7623))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7622)) )
& m1_subset_1(U_7622,u1_struct_0(U_7634)) )
& m1_subset_1(U_7623,u1_struct_0(U_7634)) )
& m1_subset_1(U_7624,u1_struct_0(U_7635)) )
& m1_subset_1(U_7625,u1_struct_0(U_7635)) )
& m1_subset_1(U_7626,u1_struct_0(U_7636)) )
& m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK928]),skolemize(U_7627,sK928(U_7636,U_7635,U_7634))],[f_3072_2]) ).
fof(f_3072_4,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ( ? [U_7625] :
( ? [U_7624] :
( ? [U_7623] :
( ? [U_7622] :
( ( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,U_7625,U_7623)) != k6_vectsp_2(U_7635,U_7634,U_7625,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7623) != U_7623
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7624,U_7625),U_7623) != k6_vectsp_2(U_7635,U_7634,U_7625,k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7625,U_7624),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623),k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,U_7625,k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7625,U_7623),k6_vectsp_2(U_7635,U_7634,U_7625,U_7622))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7623) != U_7623
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),U_7623) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7622)) )
& m1_subset_1(U_7622,u1_struct_0(U_7634)) )
& m1_subset_1(U_7623,u1_struct_0(U_7634)) )
& m1_subset_1(U_7624,u1_struct_0(U_7635)) )
& m1_subset_1(U_7625,u1_struct_0(U_7635)) )
& m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
& m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK929]),skolemize(U_7626,sK929(U_7636,U_7635,U_7634))],[f_3072_3]) ).
fof(f_3072_5,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ( ? [U_7624] :
( ? [U_7623] :
( ? [U_7622] :
( ( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7623)) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7623) != U_7623
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7624,sK930(U_7636,U_7635,U_7634)),U_7623) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,sK930(U_7636,U_7635,U_7634),U_7624),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7623),k6_vectsp_2(U_7635,U_7634,U_7624,U_7623))
| k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7623),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7622))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7623) != U_7623
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),U_7623) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7622)) )
& m1_subset_1(U_7622,u1_struct_0(U_7634)) )
& m1_subset_1(U_7623,u1_struct_0(U_7634)) )
& m1_subset_1(U_7624,u1_struct_0(U_7635)) )
& m1_subset_1(sK930(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
& m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK930]),skolemize(U_7625,sK930(U_7636,U_7635,U_7634))],[f_3072_4]) ).
fof(f_3072_6,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ( ? [U_7623] :
( ? [U_7622] :
( ( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7623)) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7623) != U_7623
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,sK931(U_7636,U_7635,U_7634),sK930(U_7636,U_7635,U_7634)),U_7623) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,sK930(U_7636,U_7635,U_7634),sK931(U_7636,U_7635,U_7634)),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7623),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7623),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7622))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7623) != U_7623
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),U_7623) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),U_7623) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),U_7623))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,U_7623,U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7623),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7622)) )
& m1_subset_1(U_7622,u1_struct_0(U_7634)) )
& m1_subset_1(U_7623,u1_struct_0(U_7634)) )
& m1_subset_1(sK931(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK930(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
& m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK931]),skolemize(U_7624,sK931(U_7636,U_7635,U_7634))],[f_3072_5]) ).
fof(f_3072_7,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ( ? [U_7622] :
( ( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634))) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,sK931(U_7636,U_7635,U_7634),sK930(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,sK930(U_7636,U_7635,U_7634),sK931(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),U_7622))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),U_7622)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),U_7622)) )
& m1_subset_1(U_7622,u1_struct_0(U_7634)) )
& m1_subset_1(sK932(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
& m1_subset_1(sK931(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK930(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
& m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK932]),skolemize(U_7623,sK932(U_7636,U_7635,U_7634))],[f_3072_6]) ).
fof(f_3072_8,plain,
! [U_7636] :
( ! [U_7635] :
( ! [U_7634] :
( ( ( ! [U_7633] :
( ! [U_7632] :
( ! [U_7631] :
( ! [U_7630] :
( ! [U_7629] :
( ! [U_7628] :
( ( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
& k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
& k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
& k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
& k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
& k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
& k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628)) )
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634)) )
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635)) )
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636)) )
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636)) )
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635) )
& ( ( v6_vectsp_2(U_7634,U_7636,U_7635)
& v12_vectsp_1(U_7634,U_7636)
& v5_vectsp_2(U_7634,U_7635) )
| ( ( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634))) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,sK931(U_7636,U_7635,U_7634),sK930(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,sK930(U_7636,U_7635,U_7634),sK931(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) )
& m1_subset_1(sK933(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
& m1_subset_1(sK932(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
& m1_subset_1(sK931(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK930(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
& m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
& m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636)) ) ) )
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634) )
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635) )
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK933]),skolemize(U_7622,sK933(U_7636,U_7635,U_7634))],[f_3072_7]) ).
fof(f_3072_9,plain,
( ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ sP1380(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( v12_vectsp_1(U_7634,U_7636)
| ~ sP1380(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( v5_vectsp_2(U_7634,U_7635)
| ~ sP1380(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634))) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,sK931(U_7636,U_7635,U_7634),sK930(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,sK930(U_7636,U_7635,U_7634),sK931(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634)))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( m1_subset_1(sK933(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( m1_subset_1(sK932(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( m1_subset_1(sK931(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( m1_subset_1(sK930(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7634,U_7635,U_7636] :
( m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
| ~ sP1379(U_7634,U_7635,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636)
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634))
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634))
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635))
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635))
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636))
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636))
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635)
| ~ sP1382(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( sP1380(U_7634,U_7635,U_7636)
| sP1379(U_7634,U_7635,U_7636)
| ~ sP1382(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) )
& ! [U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636] :
( sP1382(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636)
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634)
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635)
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1379,sP1380,sP1381,sP1382])],[f_3072_8]) ).
cnf(f_3072_10,plain,
( sP1382(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636)
| ~ l2_vectsp_2(U_7634,U_7636,U_7635)
| v3_struct_0(U_7634)
| ~ l3_vectsp_1(U_7635)
| ~ v8_vectsp_1(U_7635)
| ~ v7_vectsp_1(U_7635)
| ~ v6_vectsp_1(U_7635)
| ~ v4_group_1(U_7635)
| ~ v6_rlvect_1(U_7635)
| ~ v5_rlvect_1(U_7635)
| ~ v4_rlvect_1(U_7635)
| ~ v3_rlvect_1(U_7635)
| v3_struct_0(U_7635)
| ~ l3_vectsp_1(U_7636)
| ~ v8_vectsp_1(U_7636)
| ~ v7_vectsp_1(U_7636)
| ~ v6_vectsp_1(U_7636)
| ~ v4_group_1(U_7636)
| ~ v6_rlvect_1(U_7636)
| ~ v5_rlvect_1(U_7636)
| ~ v4_rlvect_1(U_7636)
| ~ v3_rlvect_1(U_7636)
| v3_struct_0(U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_11,plain,
( sP1380(U_7634,U_7635,U_7636)
| sP1379(U_7634,U_7635,U_7636)
| ~ sP1382(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_12,plain,
( sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636)
| ~ m1_subset_1(U_7628,u1_struct_0(U_7634))
| ~ m1_subset_1(U_7629,u1_struct_0(U_7634))
| ~ m1_subset_1(U_7630,u1_struct_0(U_7635))
| ~ m1_subset_1(U_7631,u1_struct_0(U_7635))
| ~ m1_subset_1(U_7632,u1_struct_0(U_7636))
| ~ m1_subset_1(U_7633,u1_struct_0(U_7636))
| ~ v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ v12_vectsp_1(U_7634,U_7636)
| ~ v5_vectsp_2(U_7634,U_7635)
| ~ sP1382(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_13,plain,
( m1_subset_1(sK928(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_14,plain,
( m1_subset_1(sK929(U_7636,U_7635,U_7634),u1_struct_0(U_7636))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_15,plain,
( m1_subset_1(sK930(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_16,plain,
( m1_subset_1(sK931(U_7636,U_7635,U_7634),u1_struct_0(U_7635))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_17,plain,
( m1_subset_1(sK932(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_18,plain,
( m1_subset_1(sK933(U_7636,U_7635,U_7634),u1_struct_0(U_7634))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_19,plain,
( k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634))) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,sK931(U_7636,U_7635,U_7634),sK930(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,sK930(U_7636,U_7635,U_7634),sK931(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK931(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) != k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_2(U_7635,U_7634,sK930(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),sK932(U_7636,U_7635,U_7634)) != sK932(U_7636,U_7635,U_7634)
| k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,sK928(U_7636,U_7635,U_7634),sK929(U_7636,U_7635,U_7634)),sK932(U_7636,U_7635,U_7634)) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK929(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)))
| k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),k2_rlvect_1(U_7634,sK932(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634))) != k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK932(U_7636,U_7635,U_7634)),k6_vectsp_1(U_7636,U_7634,sK928(U_7636,U_7635,U_7634),sK933(U_7636,U_7635,U_7634)))
| ~ sP1379(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_20,plain,
( v5_vectsp_2(U_7634,U_7635)
| ~ sP1380(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_21,plain,
( v12_vectsp_1(U_7634,U_7636)
| ~ sP1380(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_22,plain,
( v6_vectsp_2(U_7634,U_7636,U_7635)
| ~ sP1380(U_7634,U_7635,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_23,plain,
( k6_vectsp_1(U_7636,U_7634,U_7633,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7633,U_7628))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_24,plain,
( k6_vectsp_1(U_7636,U_7634,k4_rlvect_1(U_7636,U_7633,U_7632),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629),k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_25,plain,
( k6_vectsp_1(U_7636,U_7634,k1_group_1(U_7636,U_7633,U_7632),U_7629) = k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_1(U_7636,U_7634,U_7632,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_26,plain,
( k6_vectsp_1(U_7636,U_7634,k2_group_1(U_7636),U_7629) = U_7629
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_27,plain,
( k6_vectsp_2(U_7635,U_7634,U_7631,k2_rlvect_1(U_7634,U_7629,U_7628)) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7631,U_7628))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_28,plain,
( k6_vectsp_2(U_7635,U_7634,k4_rlvect_1(U_7635,U_7631,U_7630),U_7629) = k2_rlvect_1(U_7634,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629),k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_29,plain,
( k6_vectsp_2(U_7635,U_7634,k1_group_1(U_7635,U_7630,U_7631),U_7629) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_2(U_7635,U_7634,U_7630,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_30,plain,
( k6_vectsp_2(U_7635,U_7634,k2_group_1(U_7635),U_7629) = U_7629
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
cnf(f_3072_31,plain,
( k6_vectsp_1(U_7636,U_7634,U_7633,k6_vectsp_2(U_7635,U_7634,U_7631,U_7629)) = k6_vectsp_2(U_7635,U_7634,U_7631,k6_vectsp_1(U_7636,U_7634,U_7633,U_7629))
| ~ sP1381(U_7629,U_7628,U_7634,U_7635,U_7631,U_7630,U_7632,U_7633,U_7636) ),
inference(clausify,[status(thm)],[f_3072_9]) ).
fof(f_3073_1,plain,
! [A] :
( ! [B] :
( ( l2_vectsp_2(k9_vectsp_2(A,B),A,B)
& v6_vectsp_2(k9_vectsp_2(A,B),A,B)
& v5_vectsp_2(k9_vectsp_2(A,B),B)
& v12_vectsp_1(k9_vectsp_2(A,B),A)
& v6_rlvect_1(k9_vectsp_2(A,B))
& v5_rlvect_1(k9_vectsp_2(A,B))
& v4_rlvect_1(k9_vectsp_2(A,B))
& v3_rlvect_1(k9_vectsp_2(A,B))
& ~ v3_struct_0(k9_vectsp_2(A,B)) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t84_vectsp_2]) ).
fof(f_3073_2,plain,
! [U_7638] :
( ! [U_7637] :
( ( l2_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7638,U_7637)
& v6_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7638,U_7637)
& v5_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7637)
& v12_vectsp_1(k9_vectsp_2(U_7638,U_7637),U_7638)
& v6_rlvect_1(k9_vectsp_2(U_7638,U_7637))
& v5_rlvect_1(k9_vectsp_2(U_7638,U_7637))
& v4_rlvect_1(k9_vectsp_2(U_7638,U_7637))
& v3_rlvect_1(k9_vectsp_2(U_7638,U_7637))
& ~ v3_struct_0(k9_vectsp_2(U_7638,U_7637)) )
| ~ l3_vectsp_1(U_7637)
| ~ v8_vectsp_1(U_7637)
| ~ v7_vectsp_1(U_7637)
| ~ v6_vectsp_1(U_7637)
| ~ v4_group_1(U_7637)
| ~ v6_rlvect_1(U_7637)
| ~ v5_rlvect_1(U_7637)
| ~ v4_rlvect_1(U_7637)
| ~ v3_rlvect_1(U_7637)
| v3_struct_0(U_7637) )
| ~ l3_vectsp_1(U_7638)
| ~ v8_vectsp_1(U_7638)
| ~ v7_vectsp_1(U_7638)
| ~ v6_vectsp_1(U_7638)
| ~ v4_group_1(U_7638)
| ~ v6_rlvect_1(U_7638)
| ~ v5_rlvect_1(U_7638)
| ~ v4_rlvect_1(U_7638)
| ~ v3_rlvect_1(U_7638)
| v3_struct_0(U_7638) ),
inference(variable_rename,[status(thm)],[f_3073_1]) ).
fof(f_3073_3,plain,
( ! [U_7637,U_7638] :
( l2_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7638,U_7637)
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v6_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7638,U_7637)
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v5_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7637)
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v12_vectsp_1(k9_vectsp_2(U_7638,U_7637),U_7638)
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v6_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v5_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v4_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( v3_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( ~ v3_struct_0(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) )
& ! [U_7637,U_7638] :
( sP1383(U_7637,U_7638)
| ~ l3_vectsp_1(U_7637)
| ~ v8_vectsp_1(U_7637)
| ~ v7_vectsp_1(U_7637)
| ~ v6_vectsp_1(U_7637)
| ~ v4_group_1(U_7637)
| ~ v6_rlvect_1(U_7637)
| ~ v5_rlvect_1(U_7637)
| ~ v4_rlvect_1(U_7637)
| ~ v3_rlvect_1(U_7637)
| v3_struct_0(U_7637)
| ~ l3_vectsp_1(U_7638)
| ~ v8_vectsp_1(U_7638)
| ~ v7_vectsp_1(U_7638)
| ~ v6_vectsp_1(U_7638)
| ~ v4_group_1(U_7638)
| ~ v6_rlvect_1(U_7638)
| ~ v5_rlvect_1(U_7638)
| ~ v4_rlvect_1(U_7638)
| ~ v3_rlvect_1(U_7638)
| v3_struct_0(U_7638) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1383])],[f_3073_2]) ).
cnf(f_3073_4,plain,
( sP1383(U_7637,U_7638)
| ~ l3_vectsp_1(U_7637)
| ~ v8_vectsp_1(U_7637)
| ~ v7_vectsp_1(U_7637)
| ~ v6_vectsp_1(U_7637)
| ~ v4_group_1(U_7637)
| ~ v6_rlvect_1(U_7637)
| ~ v5_rlvect_1(U_7637)
| ~ v4_rlvect_1(U_7637)
| ~ v3_rlvect_1(U_7637)
| v3_struct_0(U_7637)
| ~ l3_vectsp_1(U_7638)
| ~ v8_vectsp_1(U_7638)
| ~ v7_vectsp_1(U_7638)
| ~ v6_vectsp_1(U_7638)
| ~ v4_group_1(U_7638)
| ~ v6_rlvect_1(U_7638)
| ~ v5_rlvect_1(U_7638)
| ~ v4_rlvect_1(U_7638)
| ~ v3_rlvect_1(U_7638)
| v3_struct_0(U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_5,plain,
( ~ v3_struct_0(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_6,plain,
( v3_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_7,plain,
( v4_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_8,plain,
( v5_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_9,plain,
( v6_rlvect_1(k9_vectsp_2(U_7638,U_7637))
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_10,plain,
( v12_vectsp_1(k9_vectsp_2(U_7638,U_7637),U_7638)
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_11,plain,
( v5_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7637)
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_12,plain,
( v6_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7638,U_7637)
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
cnf(f_3073_13,plain,
( l2_vectsp_2(k9_vectsp_2(U_7638,U_7637),U_7638,U_7637)
| ~ sP1383(U_7637,U_7638) ),
inference(clausify,[status(thm)],[f_3073_3]) ).
fof(f_3074_1,plain,
! [A] :
( k2_vectsp_1(A) = k2_group_1(A)
| ~ v1_vectsp_2(A)
| ~ l1_vectsp_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t85_vectsp_2]) ).
fof(f_3074_2,plain,
! [U_7639] :
( k2_vectsp_1(U_7639) = k2_group_1(U_7639)
| ~ v1_vectsp_2(U_7639)
| ~ l1_vectsp_1(U_7639)
| v3_struct_0(U_7639) ),
inference(variable_rename,[status(thm)],[f_3074_1]) ).
fof(f_3074_3,plain,
! [U_7639] :
( k2_vectsp_1(U_7639) = k2_group_1(U_7639)
| ~ v1_vectsp_2(U_7639)
| ~ l1_vectsp_1(U_7639)
| v3_struct_0(U_7639) ),
inference(definitional_conversion,[status(esa)],[f_3074_2]) ).
cnf(f_3074_4,plain,
( k2_vectsp_1(U_7639) = k2_group_1(U_7639)
| ~ v1_vectsp_2(U_7639)
| ~ l1_vectsp_1(U_7639)
| v3_struct_0(U_7639) ),
inference(clausify,[status(thm)],[f_3074_3]) ).
fof(f_3075_1,plain,
! [A] :
( ! [B] :
( l1_rlvect_1(B)
| ~ l1_vectsp_2(B,A) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_vectsp_2]) ).
fof(f_3075_2,plain,
! [U_7641] :
( ! [U_7640] :
( l1_rlvect_1(U_7640)
| ~ l1_vectsp_2(U_7640,U_7641) )
| ~ l1_struct_0(U_7641) ),
inference(variable_rename,[status(thm)],[f_3075_1]) ).
fof(f_3075_3,plain,
! [U_7641,U_7640] :
( l1_rlvect_1(U_7640)
| ~ l1_vectsp_2(U_7640,U_7641)
| ~ l1_struct_0(U_7641) ),
inference(definitional_conversion,[status(esa)],[f_3075_2]) ).
cnf(f_3075_4,plain,
( l1_rlvect_1(U_7640)
| ~ l1_vectsp_2(U_7640,U_7641)
| ~ l1_struct_0(U_7641) ),
inference(clausify,[status(thm)],[f_3075_3]) ).
fof(f_3076_1,plain,
! [A] :
( ? [B] : l1_vectsp_2(B,A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_l1_vectsp_2]) ).
fof(f_3076_2,plain,
! [U_7643] :
( ? [U_7642] : l1_vectsp_2(U_7642,U_7643)
| ~ l1_struct_0(U_7643) ),
inference(variable_rename,[status(thm)],[f_3076_1]) ).
fof(f_3076_3,plain,
! [U_7643] :
( l1_vectsp_2(sK934(U_7643),U_7643)
| ~ l1_struct_0(U_7643) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK934]),skolemize(U_7642,sK934(U_7643))],[f_3076_2]) ).
fof(f_3076_4,plain,
! [U_7643] :
( l1_vectsp_2(sK934(U_7643),U_7643)
| ~ l1_struct_0(U_7643) ),
inference(definitional_conversion,[status(esa)],[f_3076_3]) ).
cnf(f_3076_5,plain,
( l1_vectsp_2(sK934(U_7643),U_7643)
| ~ l1_struct_0(U_7643) ),
inference(clausify,[status(thm)],[f_3076_4]) ).
fof(f_3077_1,plain,
! [A,B] :
( ! [C] :
( ( l1_vectsp_2(C,B)
& l4_vectsp_1(C,A) )
| ~ l2_vectsp_2(C,A,B) )
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_vectsp_2]) ).
fof(f_3077_2,plain,
! [U_7646,U_7645] :
( ! [U_7644] :
( ( l1_vectsp_2(U_7644,U_7645)
& l4_vectsp_1(U_7644,U_7646) )
| ~ l2_vectsp_2(U_7644,U_7646,U_7645) )
| ~ l1_struct_0(U_7645)
| ~ l1_struct_0(U_7646) ),
inference(variable_rename,[status(thm)],[f_3077_1]) ).
fof(f_3077_3,plain,
( ! [U_7644,U_7645,U_7646] :
( l1_vectsp_2(U_7644,U_7645)
| ~ sP1384(U_7644,U_7645,U_7646) )
& ! [U_7644,U_7645,U_7646] :
( l4_vectsp_1(U_7644,U_7646)
| ~ sP1384(U_7644,U_7645,U_7646) )
& ! [U_7644,U_7645,U_7646] :
( sP1384(U_7644,U_7645,U_7646)
| ~ l2_vectsp_2(U_7644,U_7646,U_7645)
| ~ l1_struct_0(U_7645)
| ~ l1_struct_0(U_7646) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1384])],[f_3077_2]) ).
cnf(f_3077_4,plain,
( sP1384(U_7644,U_7645,U_7646)
| ~ l2_vectsp_2(U_7644,U_7646,U_7645)
| ~ l1_struct_0(U_7645)
| ~ l1_struct_0(U_7646) ),
inference(clausify,[status(thm)],[f_3077_3]) ).
cnf(f_3077_5,plain,
( l4_vectsp_1(U_7644,U_7646)
| ~ sP1384(U_7644,U_7645,U_7646) ),
inference(clausify,[status(thm)],[f_3077_3]) ).
cnf(f_3077_6,plain,
( l1_vectsp_2(U_7644,U_7645)
| ~ sP1384(U_7644,U_7645,U_7646) ),
inference(clausify,[status(thm)],[f_3077_3]) ).
fof(f_3078_1,plain,
! [A,B] :
( ? [C] : l2_vectsp_2(C,A,B)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_l2_vectsp_2]) ).
fof(f_3078_2,plain,
! [U_7649,U_7648] :
( ? [U_7647] : l2_vectsp_2(U_7647,U_7649,U_7648)
| ~ l1_struct_0(U_7648)
| ~ l1_struct_0(U_7649) ),
inference(variable_rename,[status(thm)],[f_3078_1]) ).
fof(f_3078_3,plain,
! [U_7649,U_7648] :
( l2_vectsp_2(sK935(U_7649,U_7648),U_7649,U_7648)
| ~ l1_struct_0(U_7648)
| ~ l1_struct_0(U_7649) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK935]),skolemize(U_7647,sK935(U_7649,U_7648))],[f_3078_2]) ).
fof(f_3078_4,plain,
! [U_7649,U_7648] :
( l2_vectsp_2(sK935(U_7649,U_7648),U_7649,U_7648)
| ~ l1_struct_0(U_7648)
| ~ l1_struct_0(U_7649) ),
inference(definitional_conversion,[status(esa)],[f_3078_3]) ).
cnf(f_3078_5,plain,
( l2_vectsp_2(sK935(U_7649,U_7648),U_7649,U_7648)
| ~ l1_struct_0(U_7648)
| ~ l1_struct_0(U_7649) ),
inference(clausify,[status(thm)],[f_3078_4]) ).
fof(f_3079_1,plain,
! [A,B] :
( B = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))
| ~ v3_vectsp_2(B,A)
| ~ l1_vectsp_2(B,A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v3_vectsp_2]) ).
fof(f_3079_2,plain,
! [U_7651,U_7650] :
( U_7650 = g1_vectsp_2(U_7651,u1_struct_0(U_7650),u1_rlvect_1(U_7650),u2_struct_0(U_7650),u1_vectsp_2(U_7651,U_7650))
| ~ v3_vectsp_2(U_7650,U_7651)
| ~ l1_vectsp_2(U_7650,U_7651)
| ~ l1_struct_0(U_7651) ),
inference(variable_rename,[status(thm)],[f_3079_1]) ).
fof(f_3079_3,plain,
! [U_7650,U_7651] :
( U_7650 = g1_vectsp_2(U_7651,u1_struct_0(U_7650),u1_rlvect_1(U_7650),u2_struct_0(U_7650),u1_vectsp_2(U_7651,U_7650))
| ~ v3_vectsp_2(U_7650,U_7651)
| ~ l1_vectsp_2(U_7650,U_7651)
| ~ l1_struct_0(U_7651) ),
inference(definitional_conversion,[status(esa)],[f_3079_2]) ).
cnf(f_3079_4,plain,
( U_7650 = g1_vectsp_2(U_7651,u1_struct_0(U_7650),u1_rlvect_1(U_7650),u2_struct_0(U_7650),u1_vectsp_2(U_7651,U_7650))
| ~ v3_vectsp_2(U_7650,U_7651)
| ~ l1_vectsp_2(U_7650,U_7651)
| ~ l1_struct_0(U_7651) ),
inference(clausify,[status(thm)],[f_3079_3]) ).
fof(f_3080_1,plain,
! [A,B,C] :
( C = g2_vectsp_2(A,B,u1_struct_0(C),u1_rlvect_1(C),u2_struct_0(C),u2_vectsp_1(B,C),u1_vectsp_2(B,C))
| ~ v4_vectsp_2(C,A,B)
| ~ l2_vectsp_2(C,A,B)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v4_vectsp_2]) ).
fof(f_3080_2,plain,
! [U_7654,U_7653,U_7652] :
( U_7652 = g2_vectsp_2(U_7654,U_7653,u1_struct_0(U_7652),u1_rlvect_1(U_7652),u2_struct_0(U_7652),u2_vectsp_1(U_7653,U_7652),u1_vectsp_2(U_7653,U_7652))
| ~ v4_vectsp_2(U_7652,U_7654,U_7653)
| ~ l2_vectsp_2(U_7652,U_7654,U_7653)
| ~ l1_struct_0(U_7653)
| ~ l1_struct_0(U_7654) ),
inference(variable_rename,[status(thm)],[f_3080_1]) ).
fof(f_3080_3,plain,
! [U_7652,U_7653,U_7654] :
( U_7652 = g2_vectsp_2(U_7654,U_7653,u1_struct_0(U_7652),u1_rlvect_1(U_7652),u2_struct_0(U_7652),u2_vectsp_1(U_7653,U_7652),u1_vectsp_2(U_7653,U_7652))
| ~ v4_vectsp_2(U_7652,U_7654,U_7653)
| ~ l2_vectsp_2(U_7652,U_7654,U_7653)
| ~ l1_struct_0(U_7653)
| ~ l1_struct_0(U_7654) ),
inference(definitional_conversion,[status(esa)],[f_3080_2]) ).
cnf(f_3080_4,plain,
( U_7652 = g2_vectsp_2(U_7654,U_7653,u1_struct_0(U_7652),u1_rlvect_1(U_7652),u2_struct_0(U_7652),u2_vectsp_1(U_7653,U_7652),u1_vectsp_2(U_7653,U_7652))
| ~ v4_vectsp_2(U_7652,U_7654,U_7653)
| ~ l2_vectsp_2(U_7652,U_7654,U_7653)
| ~ l1_struct_0(U_7653)
| ~ l1_struct_0(U_7654) ),
inference(clausify,[status(thm)],[f_3080_3]) ).
fof(f_3081_1,plain,
! [A,B] :
( m1_subset_1(k1_vectsp_2(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v2_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_vectsp_2]) ).
fof(f_3081_2,plain,
! [U_7656,U_7655] :
( m1_subset_1(k1_vectsp_2(U_7656,U_7655),u1_struct_0(U_7656))
| ~ m1_subset_1(U_7655,u1_struct_0(U_7656))
| ~ l3_vectsp_1(U_7656)
| v10_vectsp_1(U_7656)
| ~ v9_vectsp_1(U_7656)
| ~ v7_vectsp_1(U_7656)
| ~ v4_group_1(U_7656)
| ~ v2_group_1(U_7656)
| ~ v6_rlvect_1(U_7656)
| ~ v5_rlvect_1(U_7656)
| ~ v4_rlvect_1(U_7656)
| ~ v3_rlvect_1(U_7656)
| v3_struct_0(U_7656) ),
inference(variable_rename,[status(thm)],[f_3081_1]) ).
fof(f_3081_3,plain,
! [U_7656,U_7655] :
( m1_subset_1(k1_vectsp_2(U_7656,U_7655),u1_struct_0(U_7656))
| ~ m1_subset_1(U_7655,u1_struct_0(U_7656))
| ~ l3_vectsp_1(U_7656)
| v10_vectsp_1(U_7656)
| ~ v9_vectsp_1(U_7656)
| ~ v7_vectsp_1(U_7656)
| ~ v4_group_1(U_7656)
| ~ v2_group_1(U_7656)
| ~ v6_rlvect_1(U_7656)
| ~ v5_rlvect_1(U_7656)
| ~ v4_rlvect_1(U_7656)
| ~ v3_rlvect_1(U_7656)
| v3_struct_0(U_7656) ),
inference(definitional_conversion,[status(esa)],[f_3081_2]) ).
cnf(f_3081_4,plain,
( m1_subset_1(k1_vectsp_2(U_7656,U_7655),u1_struct_0(U_7656))
| ~ m1_subset_1(U_7655,u1_struct_0(U_7656))
| ~ l3_vectsp_1(U_7656)
| v10_vectsp_1(U_7656)
| ~ v9_vectsp_1(U_7656)
| ~ v7_vectsp_1(U_7656)
| ~ v4_group_1(U_7656)
| ~ v2_group_1(U_7656)
| ~ v6_rlvect_1(U_7656)
| ~ v5_rlvect_1(U_7656)
| ~ v4_rlvect_1(U_7656)
| ~ v3_rlvect_1(U_7656)
| v3_struct_0(U_7656) ),
inference(clausify,[status(thm)],[f_3081_3]) ).
fof(f_3082_1,plain,
! [A,B,C] :
( m1_subset_1(k2_vectsp_2(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_vectsp_2]) ).
fof(f_3082_2,plain,
! [U_7659,U_7658,U_7657] :
( m1_subset_1(k2_vectsp_2(U_7659,U_7658,U_7657),u1_struct_0(U_7659))
| ~ m1_subset_1(U_7657,u1_struct_0(U_7659))
| ~ m1_subset_1(U_7658,u1_struct_0(U_7659))
| ~ l3_vectsp_1(U_7659)
| v10_vectsp_1(U_7659)
| ~ v9_vectsp_1(U_7659)
| ~ v8_vectsp_1(U_7659)
| ~ v7_vectsp_1(U_7659)
| ~ v6_vectsp_1(U_7659)
| ~ v4_group_1(U_7659)
| ~ v6_rlvect_1(U_7659)
| ~ v5_rlvect_1(U_7659)
| ~ v4_rlvect_1(U_7659)
| ~ v3_rlvect_1(U_7659)
| v3_struct_0(U_7659) ),
inference(variable_rename,[status(thm)],[f_3082_1]) ).
fof(f_3082_3,plain,
! [U_7658,U_7657,U_7659] :
( m1_subset_1(k2_vectsp_2(U_7659,U_7658,U_7657),u1_struct_0(U_7659))
| ~ m1_subset_1(U_7657,u1_struct_0(U_7659))
| ~ m1_subset_1(U_7658,u1_struct_0(U_7659))
| ~ l3_vectsp_1(U_7659)
| v10_vectsp_1(U_7659)
| ~ v9_vectsp_1(U_7659)
| ~ v8_vectsp_1(U_7659)
| ~ v7_vectsp_1(U_7659)
| ~ v6_vectsp_1(U_7659)
| ~ v4_group_1(U_7659)
| ~ v6_rlvect_1(U_7659)
| ~ v5_rlvect_1(U_7659)
| ~ v4_rlvect_1(U_7659)
| ~ v3_rlvect_1(U_7659)
| v3_struct_0(U_7659) ),
inference(definitional_conversion,[status(esa)],[f_3082_2]) ).
cnf(f_3082_4,plain,
( m1_subset_1(k2_vectsp_2(U_7659,U_7658,U_7657),u1_struct_0(U_7659))
| ~ m1_subset_1(U_7657,u1_struct_0(U_7659))
| ~ m1_subset_1(U_7658,u1_struct_0(U_7659))
| ~ l3_vectsp_1(U_7659)
| v10_vectsp_1(U_7659)
| ~ v9_vectsp_1(U_7659)
| ~ v8_vectsp_1(U_7659)
| ~ v7_vectsp_1(U_7659)
| ~ v6_vectsp_1(U_7659)
| ~ v4_group_1(U_7659)
| ~ v6_rlvect_1(U_7659)
| ~ v5_rlvect_1(U_7659)
| ~ v4_rlvect_1(U_7659)
| ~ v3_rlvect_1(U_7659)
| v3_struct_0(U_7659) ),
inference(clausify,[status(thm)],[f_3082_3]) ).
fof(f_3083_1,plain,
! [A] :
( ( l1_rlvect_1(k3_vectsp_2(A))
& v6_rlvect_1(k3_vectsp_2(A))
& v5_rlvect_1(k3_vectsp_2(A))
& v4_rlvect_1(k3_vectsp_2(A))
& v3_rlvect_1(k3_vectsp_2(A))
& v1_rlvect_1(k3_vectsp_2(A))
& ~ v3_struct_0(k3_vectsp_2(A)) )
| ~ l1_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_vectsp_2]) ).
fof(f_3083_2,plain,
! [U_7660] :
( ( l1_rlvect_1(k3_vectsp_2(U_7660))
& v6_rlvect_1(k3_vectsp_2(U_7660))
& v5_rlvect_1(k3_vectsp_2(U_7660))
& v4_rlvect_1(k3_vectsp_2(U_7660))
& v3_rlvect_1(k3_vectsp_2(U_7660))
& v1_rlvect_1(k3_vectsp_2(U_7660))
& ~ v3_struct_0(k3_vectsp_2(U_7660)) )
| ~ l1_rlvect_1(U_7660)
| ~ v6_rlvect_1(U_7660)
| ~ v5_rlvect_1(U_7660)
| ~ v4_rlvect_1(U_7660)
| ~ v3_rlvect_1(U_7660)
| v3_struct_0(U_7660) ),
inference(variable_rename,[status(thm)],[f_3083_1]) ).
fof(f_3083_3,plain,
( ! [U_7660] :
( l1_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( v6_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( v5_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( v4_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( v3_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( v1_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( ~ v3_struct_0(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) )
& ! [U_7660] :
( sP1385(U_7660)
| ~ l1_rlvect_1(U_7660)
| ~ v6_rlvect_1(U_7660)
| ~ v5_rlvect_1(U_7660)
| ~ v4_rlvect_1(U_7660)
| ~ v3_rlvect_1(U_7660)
| v3_struct_0(U_7660) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1385])],[f_3083_2]) ).
cnf(f_3083_4,plain,
( sP1385(U_7660)
| ~ l1_rlvect_1(U_7660)
| ~ v6_rlvect_1(U_7660)
| ~ v5_rlvect_1(U_7660)
| ~ v4_rlvect_1(U_7660)
| ~ v3_rlvect_1(U_7660)
| v3_struct_0(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_5,plain,
( ~ v3_struct_0(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_6,plain,
( v1_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_7,plain,
( v3_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_8,plain,
( v4_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_9,plain,
( v5_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_10,plain,
( v6_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
cnf(f_3083_11,plain,
( l1_rlvect_1(k3_vectsp_2(U_7660))
| ~ sP1385(U_7660) ),
inference(clausify,[status(thm)],[f_3083_3]) ).
fof(f_3084_1,plain,
! [A] :
( ( l4_vectsp_1(k4_vectsp_2(A),A)
& v11_vectsp_1(k4_vectsp_2(A),A)
& v6_rlvect_1(k4_vectsp_2(A))
& v5_rlvect_1(k4_vectsp_2(A))
& v4_rlvect_1(k4_vectsp_2(A))
& v3_rlvect_1(k4_vectsp_2(A))
& ~ v3_struct_0(k4_vectsp_2(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_vectsp_2]) ).
fof(f_3084_2,plain,
! [U_7661] :
( ( l4_vectsp_1(k4_vectsp_2(U_7661),U_7661)
& v11_vectsp_1(k4_vectsp_2(U_7661),U_7661)
& v6_rlvect_1(k4_vectsp_2(U_7661))
& v5_rlvect_1(k4_vectsp_2(U_7661))
& v4_rlvect_1(k4_vectsp_2(U_7661))
& v3_rlvect_1(k4_vectsp_2(U_7661))
& ~ v3_struct_0(k4_vectsp_2(U_7661)) )
| ~ l3_vectsp_1(U_7661)
| ~ v8_vectsp_1(U_7661)
| ~ v7_vectsp_1(U_7661)
| ~ v6_vectsp_1(U_7661)
| ~ v4_group_1(U_7661)
| ~ v6_rlvect_1(U_7661)
| ~ v5_rlvect_1(U_7661)
| ~ v4_rlvect_1(U_7661)
| ~ v3_rlvect_1(U_7661)
| v3_struct_0(U_7661) ),
inference(variable_rename,[status(thm)],[f_3084_1]) ).
fof(f_3084_3,plain,
( ! [U_7661] :
( l4_vectsp_1(k4_vectsp_2(U_7661),U_7661)
| ~ sP1386(U_7661) )
& ! [U_7661] :
( v11_vectsp_1(k4_vectsp_2(U_7661),U_7661)
| ~ sP1386(U_7661) )
& ! [U_7661] :
( v6_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) )
& ! [U_7661] :
( v5_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) )
& ! [U_7661] :
( v4_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) )
& ! [U_7661] :
( v3_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) )
& ! [U_7661] :
( ~ v3_struct_0(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) )
& ! [U_7661] :
( sP1386(U_7661)
| ~ l3_vectsp_1(U_7661)
| ~ v8_vectsp_1(U_7661)
| ~ v7_vectsp_1(U_7661)
| ~ v6_vectsp_1(U_7661)
| ~ v4_group_1(U_7661)
| ~ v6_rlvect_1(U_7661)
| ~ v5_rlvect_1(U_7661)
| ~ v4_rlvect_1(U_7661)
| ~ v3_rlvect_1(U_7661)
| v3_struct_0(U_7661) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1386])],[f_3084_2]) ).
cnf(f_3084_4,plain,
( sP1386(U_7661)
| ~ l3_vectsp_1(U_7661)
| ~ v8_vectsp_1(U_7661)
| ~ v7_vectsp_1(U_7661)
| ~ v6_vectsp_1(U_7661)
| ~ v4_group_1(U_7661)
| ~ v6_rlvect_1(U_7661)
| ~ v5_rlvect_1(U_7661)
| ~ v4_rlvect_1(U_7661)
| ~ v3_rlvect_1(U_7661)
| v3_struct_0(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_5,plain,
( ~ v3_struct_0(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_6,plain,
( v3_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_7,plain,
( v4_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_8,plain,
( v5_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_9,plain,
( v6_rlvect_1(k4_vectsp_2(U_7661))
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_10,plain,
( v11_vectsp_1(k4_vectsp_2(U_7661),U_7661)
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
cnf(f_3084_11,plain,
( l4_vectsp_1(k4_vectsp_2(U_7661),U_7661)
| ~ sP1386(U_7661) ),
inference(clausify,[status(thm)],[f_3084_3]) ).
fof(f_3085_1,plain,
! [A] :
( ( l1_vectsp_2(k5_vectsp_2(A),A)
& v3_vectsp_2(k5_vectsp_2(A),A)
& v6_rlvect_1(k5_vectsp_2(A))
& v5_rlvect_1(k5_vectsp_2(A))
& v4_rlvect_1(k5_vectsp_2(A))
& v3_rlvect_1(k5_vectsp_2(A))
& ~ v3_struct_0(k5_vectsp_2(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_vectsp_2]) ).
fof(f_3085_2,plain,
! [U_7662] :
( ( l1_vectsp_2(k5_vectsp_2(U_7662),U_7662)
& v3_vectsp_2(k5_vectsp_2(U_7662),U_7662)
& v6_rlvect_1(k5_vectsp_2(U_7662))
& v5_rlvect_1(k5_vectsp_2(U_7662))
& v4_rlvect_1(k5_vectsp_2(U_7662))
& v3_rlvect_1(k5_vectsp_2(U_7662))
& ~ v3_struct_0(k5_vectsp_2(U_7662)) )
| ~ l3_vectsp_1(U_7662)
| ~ v8_vectsp_1(U_7662)
| ~ v7_vectsp_1(U_7662)
| ~ v6_vectsp_1(U_7662)
| ~ v4_group_1(U_7662)
| ~ v6_rlvect_1(U_7662)
| ~ v5_rlvect_1(U_7662)
| ~ v4_rlvect_1(U_7662)
| ~ v3_rlvect_1(U_7662)
| v3_struct_0(U_7662) ),
inference(variable_rename,[status(thm)],[f_3085_1]) ).
fof(f_3085_3,plain,
( ! [U_7662] :
( l1_vectsp_2(k5_vectsp_2(U_7662),U_7662)
| ~ sP1387(U_7662) )
& ! [U_7662] :
( v3_vectsp_2(k5_vectsp_2(U_7662),U_7662)
| ~ sP1387(U_7662) )
& ! [U_7662] :
( v6_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) )
& ! [U_7662] :
( v5_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) )
& ! [U_7662] :
( v4_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) )
& ! [U_7662] :
( v3_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) )
& ! [U_7662] :
( ~ v3_struct_0(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) )
& ! [U_7662] :
( sP1387(U_7662)
| ~ l3_vectsp_1(U_7662)
| ~ v8_vectsp_1(U_7662)
| ~ v7_vectsp_1(U_7662)
| ~ v6_vectsp_1(U_7662)
| ~ v4_group_1(U_7662)
| ~ v6_rlvect_1(U_7662)
| ~ v5_rlvect_1(U_7662)
| ~ v4_rlvect_1(U_7662)
| ~ v3_rlvect_1(U_7662)
| v3_struct_0(U_7662) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1387])],[f_3085_2]) ).
cnf(f_3085_4,plain,
( sP1387(U_7662)
| ~ l3_vectsp_1(U_7662)
| ~ v8_vectsp_1(U_7662)
| ~ v7_vectsp_1(U_7662)
| ~ v6_vectsp_1(U_7662)
| ~ v4_group_1(U_7662)
| ~ v6_rlvect_1(U_7662)
| ~ v5_rlvect_1(U_7662)
| ~ v4_rlvect_1(U_7662)
| ~ v3_rlvect_1(U_7662)
| v3_struct_0(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_5,plain,
( ~ v3_struct_0(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_6,plain,
( v3_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_7,plain,
( v4_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_8,plain,
( v5_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_9,plain,
( v6_rlvect_1(k5_vectsp_2(U_7662))
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_10,plain,
( v3_vectsp_2(k5_vectsp_2(U_7662),U_7662)
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
cnf(f_3085_11,plain,
( l1_vectsp_2(k5_vectsp_2(U_7662),U_7662)
| ~ sP1387(U_7662) ),
inference(clausify,[status(thm)],[f_3085_3]) ).
fof(f_3086_1,plain,
! [A,B,C,D] :
( m1_subset_1(k6_vectsp_2(A,B,C,D),u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ l1_vectsp_2(B,A)
| v3_struct_0(B)
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_vectsp_2]) ).
fof(f_3086_2,plain,
! [U_7666,U_7665,U_7664,U_7663] :
( m1_subset_1(k6_vectsp_2(U_7666,U_7665,U_7664,U_7663),u1_struct_0(U_7665))
| ~ m1_subset_1(U_7663,u1_struct_0(U_7665))
| ~ m1_subset_1(U_7664,u1_struct_0(U_7666))
| ~ l1_vectsp_2(U_7665,U_7666)
| v3_struct_0(U_7665)
| ~ l1_struct_0(U_7666)
| v3_struct_0(U_7666) ),
inference(variable_rename,[status(thm)],[f_3086_1]) ).
fof(f_3086_3,plain,
! [U_7665,U_7663,U_7664,U_7666] :
( m1_subset_1(k6_vectsp_2(U_7666,U_7665,U_7664,U_7663),u1_struct_0(U_7665))
| ~ m1_subset_1(U_7663,u1_struct_0(U_7665))
| ~ m1_subset_1(U_7664,u1_struct_0(U_7666))
| ~ l1_vectsp_2(U_7665,U_7666)
| v3_struct_0(U_7665)
| ~ l1_struct_0(U_7666)
| v3_struct_0(U_7666) ),
inference(definitional_conversion,[status(esa)],[f_3086_2]) ).
cnf(f_3086_4,plain,
( m1_subset_1(k6_vectsp_2(U_7666,U_7665,U_7664,U_7663),u1_struct_0(U_7665))
| ~ m1_subset_1(U_7663,u1_struct_0(U_7665))
| ~ m1_subset_1(U_7664,u1_struct_0(U_7666))
| ~ l1_vectsp_2(U_7665,U_7666)
| v3_struct_0(U_7665)
| ~ l1_struct_0(U_7666)
| v3_struct_0(U_7666) ),
inference(clausify,[status(thm)],[f_3086_3]) ).
fof(f_3087_1,plain,
( m2_relset_1(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_2(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_1(k7_vectsp_2) ),
inference(fof_nnf,[status(thm)],[dt_k7_vectsp_2]) ).
fof(f_3087_2,plain,
( m2_relset_1(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_2(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0))
& v1_funct_1(k7_vectsp_2) ),
inference(definitional_conversion,[status(esa)],[f_3087_1]) ).
cnf(f_3087_3,plain,
v1_funct_1(k7_vectsp_2),
inference(clausify,[status(thm)],[f_3087_2]) ).
cnf(f_3087_4,plain,
v1_funct_2(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),
inference(clausify,[status(thm)],[f_3087_2]) ).
cnf(f_3087_5,plain,
m2_relset_1(k7_vectsp_2,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),
inference(clausify,[status(thm)],[f_3087_2]) ).
fof(f_3088_1,plain,
m1_subset_1(k8_vectsp_2,k1_tarski(k1_xboole_0)),
inference(fof_nnf,[status(thm)],[dt_k8_vectsp_2]) ).
fof(f_3088_2,plain,
m1_subset_1(k8_vectsp_2,k1_tarski(k1_xboole_0)),
inference(definitional_conversion,[status(esa)],[f_3088_1]) ).
cnf(f_3088_3,plain,
m1_subset_1(k8_vectsp_2,k1_tarski(k1_xboole_0)),
inference(clausify,[status(thm)],[f_3088_2]) ).
fof(f_3089_1,plain,
! [A,B] :
( ( l2_vectsp_2(k9_vectsp_2(A,B),A,B)
& v4_vectsp_2(k9_vectsp_2(A,B),A,B)
& v6_rlvect_1(k9_vectsp_2(A,B))
& v5_rlvect_1(k9_vectsp_2(A,B))
& v4_rlvect_1(k9_vectsp_2(A,B))
& v3_rlvect_1(k9_vectsp_2(A,B))
& ~ v3_struct_0(k9_vectsp_2(A,B)) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k9_vectsp_2]) ).
fof(f_3089_2,plain,
! [U_7668,U_7667] :
( ( l2_vectsp_2(k9_vectsp_2(U_7668,U_7667),U_7668,U_7667)
& v4_vectsp_2(k9_vectsp_2(U_7668,U_7667),U_7668,U_7667)
& v6_rlvect_1(k9_vectsp_2(U_7668,U_7667))
& v5_rlvect_1(k9_vectsp_2(U_7668,U_7667))
& v4_rlvect_1(k9_vectsp_2(U_7668,U_7667))
& v3_rlvect_1(k9_vectsp_2(U_7668,U_7667))
& ~ v3_struct_0(k9_vectsp_2(U_7668,U_7667)) )
| ~ l3_vectsp_1(U_7667)
| ~ v8_vectsp_1(U_7667)
| ~ v7_vectsp_1(U_7667)
| ~ v6_vectsp_1(U_7667)
| ~ v4_group_1(U_7667)
| ~ v6_rlvect_1(U_7667)
| ~ v5_rlvect_1(U_7667)
| ~ v4_rlvect_1(U_7667)
| ~ v3_rlvect_1(U_7667)
| v3_struct_0(U_7667)
| ~ l3_vectsp_1(U_7668)
| ~ v8_vectsp_1(U_7668)
| ~ v7_vectsp_1(U_7668)
| ~ v6_vectsp_1(U_7668)
| ~ v4_group_1(U_7668)
| ~ v6_rlvect_1(U_7668)
| ~ v5_rlvect_1(U_7668)
| ~ v4_rlvect_1(U_7668)
| ~ v3_rlvect_1(U_7668)
| v3_struct_0(U_7668) ),
inference(variable_rename,[status(thm)],[f_3089_1]) ).
fof(f_3089_3,plain,
( ! [U_7667,U_7668] :
( l2_vectsp_2(k9_vectsp_2(U_7668,U_7667),U_7668,U_7667)
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( v4_vectsp_2(k9_vectsp_2(U_7668,U_7667),U_7668,U_7667)
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( v6_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( v5_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( v4_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( v3_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( ~ v3_struct_0(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) )
& ! [U_7667,U_7668] :
( sP1388(U_7667,U_7668)
| ~ l3_vectsp_1(U_7667)
| ~ v8_vectsp_1(U_7667)
| ~ v7_vectsp_1(U_7667)
| ~ v6_vectsp_1(U_7667)
| ~ v4_group_1(U_7667)
| ~ v6_rlvect_1(U_7667)
| ~ v5_rlvect_1(U_7667)
| ~ v4_rlvect_1(U_7667)
| ~ v3_rlvect_1(U_7667)
| v3_struct_0(U_7667)
| ~ l3_vectsp_1(U_7668)
| ~ v8_vectsp_1(U_7668)
| ~ v7_vectsp_1(U_7668)
| ~ v6_vectsp_1(U_7668)
| ~ v4_group_1(U_7668)
| ~ v6_rlvect_1(U_7668)
| ~ v5_rlvect_1(U_7668)
| ~ v4_rlvect_1(U_7668)
| ~ v3_rlvect_1(U_7668)
| v3_struct_0(U_7668) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1388])],[f_3089_2]) ).
cnf(f_3089_4,plain,
( sP1388(U_7667,U_7668)
| ~ l3_vectsp_1(U_7667)
| ~ v8_vectsp_1(U_7667)
| ~ v7_vectsp_1(U_7667)
| ~ v6_vectsp_1(U_7667)
| ~ v4_group_1(U_7667)
| ~ v6_rlvect_1(U_7667)
| ~ v5_rlvect_1(U_7667)
| ~ v4_rlvect_1(U_7667)
| ~ v3_rlvect_1(U_7667)
| v3_struct_0(U_7667)
| ~ l3_vectsp_1(U_7668)
| ~ v8_vectsp_1(U_7668)
| ~ v7_vectsp_1(U_7668)
| ~ v6_vectsp_1(U_7668)
| ~ v4_group_1(U_7668)
| ~ v6_rlvect_1(U_7668)
| ~ v5_rlvect_1(U_7668)
| ~ v4_rlvect_1(U_7668)
| ~ v3_rlvect_1(U_7668)
| v3_struct_0(U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_5,plain,
( ~ v3_struct_0(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_6,plain,
( v3_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_7,plain,
( v4_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_8,plain,
( v5_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_9,plain,
( v6_rlvect_1(k9_vectsp_2(U_7668,U_7667))
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_10,plain,
( v4_vectsp_2(k9_vectsp_2(U_7668,U_7667),U_7668,U_7667)
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
cnf(f_3089_11,plain,
( l2_vectsp_2(k9_vectsp_2(U_7668,U_7667),U_7668,U_7667)
| ~ sP1388(U_7667,U_7668) ),
inference(clausify,[status(thm)],[f_3089_3]) ).
fof(f_3090_1,plain,
! [A,B] :
( ( m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B))
& v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B))
& v1_funct_1(u1_vectsp_2(A,B)) )
| ~ l1_vectsp_2(B,A)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_vectsp_2]) ).
fof(f_3090_2,plain,
! [U_7670,U_7669] :
( ( m2_relset_1(u1_vectsp_2(U_7670,U_7669),k2_zfmisc_1(u1_struct_0(U_7669),u1_struct_0(U_7670)),u1_struct_0(U_7669))
& v1_funct_2(u1_vectsp_2(U_7670,U_7669),k2_zfmisc_1(u1_struct_0(U_7669),u1_struct_0(U_7670)),u1_struct_0(U_7669))
& v1_funct_1(u1_vectsp_2(U_7670,U_7669)) )
| ~ l1_vectsp_2(U_7669,U_7670)
| ~ l1_struct_0(U_7670) ),
inference(variable_rename,[status(thm)],[f_3090_1]) ).
fof(f_3090_3,plain,
( ! [U_7670,U_7669] :
( m2_relset_1(u1_vectsp_2(U_7670,U_7669),k2_zfmisc_1(u1_struct_0(U_7669),u1_struct_0(U_7670)),u1_struct_0(U_7669))
| ~ sP1389(U_7670,U_7669) )
& ! [U_7670,U_7669] :
( v1_funct_2(u1_vectsp_2(U_7670,U_7669),k2_zfmisc_1(u1_struct_0(U_7669),u1_struct_0(U_7670)),u1_struct_0(U_7669))
| ~ sP1389(U_7670,U_7669) )
& ! [U_7670,U_7669] :
( v1_funct_1(u1_vectsp_2(U_7670,U_7669))
| ~ sP1389(U_7670,U_7669) )
& ! [U_7670,U_7669] :
( sP1389(U_7670,U_7669)
| ~ l1_vectsp_2(U_7669,U_7670)
| ~ l1_struct_0(U_7670) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1389])],[f_3090_2]) ).
cnf(f_3090_4,plain,
( sP1389(U_7670,U_7669)
| ~ l1_vectsp_2(U_7669,U_7670)
| ~ l1_struct_0(U_7670) ),
inference(clausify,[status(thm)],[f_3090_3]) ).
cnf(f_3090_5,plain,
( v1_funct_1(u1_vectsp_2(U_7670,U_7669))
| ~ sP1389(U_7670,U_7669) ),
inference(clausify,[status(thm)],[f_3090_3]) ).
cnf(f_3090_6,plain,
( v1_funct_2(u1_vectsp_2(U_7670,U_7669),k2_zfmisc_1(u1_struct_0(U_7669),u1_struct_0(U_7670)),u1_struct_0(U_7669))
| ~ sP1389(U_7670,U_7669) ),
inference(clausify,[status(thm)],[f_3090_3]) ).
cnf(f_3090_7,plain,
( m2_relset_1(u1_vectsp_2(U_7670,U_7669),k2_zfmisc_1(u1_struct_0(U_7669),u1_struct_0(U_7670)),u1_struct_0(U_7669))
| ~ sP1389(U_7670,U_7669) ),
inference(clausify,[status(thm)],[f_3090_3]) ).
fof(f_3091_1,plain,
! [A,B,C,D,E] :
( ( l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A)
& v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) )
| ~ m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
| ~ v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
| ~ v1_funct_1(E)
| ~ m1_subset_1(D,B)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_g1_vectsp_2]) ).
fof(f_3091_2,plain,
! [U_7675,U_7674,U_7673,U_7672,U_7671] :
( ( l1_vectsp_2(g1_vectsp_2(U_7675,U_7674,U_7673,U_7672,U_7671),U_7675)
& v3_vectsp_2(g1_vectsp_2(U_7675,U_7674,U_7673,U_7672,U_7671),U_7675) )
| ~ m1_relset_1(U_7671,k2_zfmisc_1(U_7674,u1_struct_0(U_7675)),U_7674)
| ~ v1_funct_2(U_7671,k2_zfmisc_1(U_7674,u1_struct_0(U_7675)),U_7674)
| ~ v1_funct_1(U_7671)
| ~ m1_subset_1(U_7672,U_7674)
| ~ m1_relset_1(U_7673,k2_zfmisc_1(U_7674,U_7674),U_7674)
| ~ v1_funct_2(U_7673,k2_zfmisc_1(U_7674,U_7674),U_7674)
| ~ v1_funct_1(U_7673)
| ~ l1_struct_0(U_7675) ),
inference(variable_rename,[status(thm)],[f_3091_1]) ).
fof(f_3091_3,plain,
( ! [U_7673,U_7675,U_7671,U_7674,U_7672] :
( l1_vectsp_2(g1_vectsp_2(U_7675,U_7674,U_7673,U_7672,U_7671),U_7675)
| ~ sP1390(U_7673,U_7675,U_7671,U_7674,U_7672) )
& ! [U_7673,U_7675,U_7671,U_7674,U_7672] :
( v3_vectsp_2(g1_vectsp_2(U_7675,U_7674,U_7673,U_7672,U_7671),U_7675)
| ~ sP1390(U_7673,U_7675,U_7671,U_7674,U_7672) )
& ! [U_7673,U_7675,U_7671,U_7674,U_7672] :
( sP1390(U_7673,U_7675,U_7671,U_7674,U_7672)
| ~ m1_relset_1(U_7671,k2_zfmisc_1(U_7674,u1_struct_0(U_7675)),U_7674)
| ~ v1_funct_2(U_7671,k2_zfmisc_1(U_7674,u1_struct_0(U_7675)),U_7674)
| ~ v1_funct_1(U_7671)
| ~ m1_subset_1(U_7672,U_7674)
| ~ m1_relset_1(U_7673,k2_zfmisc_1(U_7674,U_7674),U_7674)
| ~ v1_funct_2(U_7673,k2_zfmisc_1(U_7674,U_7674),U_7674)
| ~ v1_funct_1(U_7673)
| ~ l1_struct_0(U_7675) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1390])],[f_3091_2]) ).
cnf(f_3091_4,plain,
( sP1390(U_7673,U_7675,U_7671,U_7674,U_7672)
| ~ m1_relset_1(U_7671,k2_zfmisc_1(U_7674,u1_struct_0(U_7675)),U_7674)
| ~ v1_funct_2(U_7671,k2_zfmisc_1(U_7674,u1_struct_0(U_7675)),U_7674)
| ~ v1_funct_1(U_7671)
| ~ m1_subset_1(U_7672,U_7674)
| ~ m1_relset_1(U_7673,k2_zfmisc_1(U_7674,U_7674),U_7674)
| ~ v1_funct_2(U_7673,k2_zfmisc_1(U_7674,U_7674),U_7674)
| ~ v1_funct_1(U_7673)
| ~ l1_struct_0(U_7675) ),
inference(clausify,[status(thm)],[f_3091_3]) ).
cnf(f_3091_5,plain,
( v3_vectsp_2(g1_vectsp_2(U_7675,U_7674,U_7673,U_7672,U_7671),U_7675)
| ~ sP1390(U_7673,U_7675,U_7671,U_7674,U_7672) ),
inference(clausify,[status(thm)],[f_3091_3]) ).
cnf(f_3091_6,plain,
( l1_vectsp_2(g1_vectsp_2(U_7675,U_7674,U_7673,U_7672,U_7671),U_7675)
| ~ sP1390(U_7673,U_7675,U_7671,U_7674,U_7672) ),
inference(clausify,[status(thm)],[f_3091_3]) ).
fof(f_3092_1,plain,
! [A,B,C,D,E] :
( ! [F,G,H,I,J] :
( ( E = J
& D = I
& C = H
& B = G
& A = F )
| g1_vectsp_2(A,B,C,D,E) != g1_vectsp_2(F,G,H,I,J) )
| ~ m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
| ~ v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B)
| ~ v1_funct_1(E)
| ~ m1_subset_1(D,B)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[free_g1_vectsp_2]) ).
fof(f_3092_2,plain,
! [U_7685,U_7684,U_7683,U_7682,U_7681] :
( ! [U_7680,U_7679,U_7678,U_7677,U_7676] :
( ( U_7681 = U_7676
& U_7682 = U_7677
& U_7683 = U_7678
& U_7684 = U_7679
& U_7685 = U_7680 )
| g1_vectsp_2(U_7685,U_7684,U_7683,U_7682,U_7681) != g1_vectsp_2(U_7680,U_7679,U_7678,U_7677,U_7676) )
| ~ m1_relset_1(U_7681,k2_zfmisc_1(U_7684,u1_struct_0(U_7685)),U_7684)
| ~ v1_funct_2(U_7681,k2_zfmisc_1(U_7684,u1_struct_0(U_7685)),U_7684)
| ~ v1_funct_1(U_7681)
| ~ m1_subset_1(U_7682,U_7684)
| ~ m1_relset_1(U_7683,k2_zfmisc_1(U_7684,U_7684),U_7684)
| ~ v1_funct_2(U_7683,k2_zfmisc_1(U_7684,U_7684),U_7684)
| ~ v1_funct_1(U_7683)
| ~ l1_struct_0(U_7685) ),
inference(variable_rename,[status(thm)],[f_3092_1]) ).
fof(f_3092_3,plain,
( ! [U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685] :
( U_7681 = U_7676
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) )
& ! [U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685] :
( U_7682 = U_7677
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) )
& ! [U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685] :
( U_7683 = U_7678
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) )
& ! [U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685] :
( U_7684 = U_7679
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) )
& ! [U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685] :
( U_7685 = U_7680
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) )
& ! [U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685] :
( sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685)
| g1_vectsp_2(U_7685,U_7684,U_7683,U_7682,U_7681) != g1_vectsp_2(U_7680,U_7679,U_7678,U_7677,U_7676)
| ~ m1_relset_1(U_7681,k2_zfmisc_1(U_7684,u1_struct_0(U_7685)),U_7684)
| ~ v1_funct_2(U_7681,k2_zfmisc_1(U_7684,u1_struct_0(U_7685)),U_7684)
| ~ v1_funct_1(U_7681)
| ~ m1_subset_1(U_7682,U_7684)
| ~ m1_relset_1(U_7683,k2_zfmisc_1(U_7684,U_7684),U_7684)
| ~ v1_funct_2(U_7683,k2_zfmisc_1(U_7684,U_7684),U_7684)
| ~ v1_funct_1(U_7683)
| ~ l1_struct_0(U_7685) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1391])],[f_3092_2]) ).
cnf(f_3092_4,plain,
( sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685)
| g1_vectsp_2(U_7685,U_7684,U_7683,U_7682,U_7681) != g1_vectsp_2(U_7680,U_7679,U_7678,U_7677,U_7676)
| ~ m1_relset_1(U_7681,k2_zfmisc_1(U_7684,u1_struct_0(U_7685)),U_7684)
| ~ v1_funct_2(U_7681,k2_zfmisc_1(U_7684,u1_struct_0(U_7685)),U_7684)
| ~ v1_funct_1(U_7681)
| ~ m1_subset_1(U_7682,U_7684)
| ~ m1_relset_1(U_7683,k2_zfmisc_1(U_7684,U_7684),U_7684)
| ~ v1_funct_2(U_7683,k2_zfmisc_1(U_7684,U_7684),U_7684)
| ~ v1_funct_1(U_7683)
| ~ l1_struct_0(U_7685) ),
inference(clausify,[status(thm)],[f_3092_3]) ).
cnf(f_3092_5,plain,
( U_7685 = U_7680
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) ),
inference(clausify,[status(thm)],[f_3092_3]) ).
cnf(f_3092_6,plain,
( U_7684 = U_7679
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) ),
inference(clausify,[status(thm)],[f_3092_3]) ).
cnf(f_3092_7,plain,
( U_7683 = U_7678
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) ),
inference(clausify,[status(thm)],[f_3092_3]) ).
cnf(f_3092_8,plain,
( U_7682 = U_7677
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) ),
inference(clausify,[status(thm)],[f_3092_3]) ).
cnf(f_3092_9,plain,
( U_7681 = U_7676
| ~ sP1391(U_7678,U_7679,U_7683,U_7684,U_7676,U_7681,U_7682,U_7677,U_7680,U_7685) ),
inference(clausify,[status(thm)],[f_3092_3]) ).
fof(f_3093_1,plain,
! [A,B,C,D,E,F,G] :
( ( l2_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B)
& v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) )
| ~ m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
| ~ v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
| ~ v1_funct_1(G)
| ~ m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C)
| ~ v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C)
| ~ v1_funct_1(F)
| ~ m1_subset_1(E,C)
| ~ m1_relset_1(D,k2_zfmisc_1(C,C),C)
| ~ v1_funct_2(D,k2_zfmisc_1(C,C),C)
| ~ v1_funct_1(D)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_g2_vectsp_2]) ).
fof(f_3093_2,plain,
! [U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686] :
( ( l2_vectsp_2(g2_vectsp_2(U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686),U_7692,U_7691)
& v4_vectsp_2(g2_vectsp_2(U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686),U_7692,U_7691) )
| ~ m1_relset_1(U_7686,k2_zfmisc_1(U_7690,u1_struct_0(U_7691)),U_7690)
| ~ v1_funct_2(U_7686,k2_zfmisc_1(U_7690,u1_struct_0(U_7691)),U_7690)
| ~ v1_funct_1(U_7686)
| ~ m1_relset_1(U_7687,k2_zfmisc_1(u1_struct_0(U_7692),U_7690),U_7690)
| ~ v1_funct_2(U_7687,k2_zfmisc_1(u1_struct_0(U_7692),U_7690),U_7690)
| ~ v1_funct_1(U_7687)
| ~ m1_subset_1(U_7688,U_7690)
| ~ m1_relset_1(U_7689,k2_zfmisc_1(U_7690,U_7690),U_7690)
| ~ v1_funct_2(U_7689,k2_zfmisc_1(U_7690,U_7690),U_7690)
| ~ v1_funct_1(U_7689)
| ~ l1_struct_0(U_7691)
| ~ l1_struct_0(U_7692) ),
inference(variable_rename,[status(thm)],[f_3093_1]) ).
fof(f_3093_3,plain,
( ! [U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689] :
( l2_vectsp_2(g2_vectsp_2(U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686),U_7692,U_7691)
| ~ sP1392(U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689) )
& ! [U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689] :
( v4_vectsp_2(g2_vectsp_2(U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686),U_7692,U_7691)
| ~ sP1392(U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689) )
& ! [U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689] :
( sP1392(U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689)
| ~ m1_relset_1(U_7686,k2_zfmisc_1(U_7690,u1_struct_0(U_7691)),U_7690)
| ~ v1_funct_2(U_7686,k2_zfmisc_1(U_7690,u1_struct_0(U_7691)),U_7690)
| ~ v1_funct_1(U_7686)
| ~ m1_relset_1(U_7687,k2_zfmisc_1(u1_struct_0(U_7692),U_7690),U_7690)
| ~ v1_funct_2(U_7687,k2_zfmisc_1(u1_struct_0(U_7692),U_7690),U_7690)
| ~ v1_funct_1(U_7687)
| ~ m1_subset_1(U_7688,U_7690)
| ~ m1_relset_1(U_7689,k2_zfmisc_1(U_7690,U_7690),U_7690)
| ~ v1_funct_2(U_7689,k2_zfmisc_1(U_7690,U_7690),U_7690)
| ~ v1_funct_1(U_7689)
| ~ l1_struct_0(U_7691)
| ~ l1_struct_0(U_7692) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1392])],[f_3093_2]) ).
cnf(f_3093_4,plain,
( sP1392(U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689)
| ~ m1_relset_1(U_7686,k2_zfmisc_1(U_7690,u1_struct_0(U_7691)),U_7690)
| ~ v1_funct_2(U_7686,k2_zfmisc_1(U_7690,u1_struct_0(U_7691)),U_7690)
| ~ v1_funct_1(U_7686)
| ~ m1_relset_1(U_7687,k2_zfmisc_1(u1_struct_0(U_7692),U_7690),U_7690)
| ~ v1_funct_2(U_7687,k2_zfmisc_1(u1_struct_0(U_7692),U_7690),U_7690)
| ~ v1_funct_1(U_7687)
| ~ m1_subset_1(U_7688,U_7690)
| ~ m1_relset_1(U_7689,k2_zfmisc_1(U_7690,U_7690),U_7690)
| ~ v1_funct_2(U_7689,k2_zfmisc_1(U_7690,U_7690),U_7690)
| ~ v1_funct_1(U_7689)
| ~ l1_struct_0(U_7691)
| ~ l1_struct_0(U_7692) ),
inference(clausify,[status(thm)],[f_3093_3]) ).
cnf(f_3093_5,plain,
( v4_vectsp_2(g2_vectsp_2(U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686),U_7692,U_7691)
| ~ sP1392(U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689) ),
inference(clausify,[status(thm)],[f_3093_3]) ).
cnf(f_3093_6,plain,
( l2_vectsp_2(g2_vectsp_2(U_7692,U_7691,U_7690,U_7689,U_7688,U_7687,U_7686),U_7692,U_7691)
| ~ sP1392(U_7687,U_7691,U_7692,U_7688,U_7690,U_7686,U_7689) ),
inference(clausify,[status(thm)],[f_3093_3]) ).
fof(f_3094_1,plain,
! [A,B,C,D,E,F,G] :
( ! [H,I,J,K,L,M,N] :
( ( G = N
& F = M
& E = L
& D = K
& C = J
& B = I
& A = H )
| g2_vectsp_2(A,B,C,D,E,F,G) != g2_vectsp_2(H,I,J,K,L,M,N) )
| ~ m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
| ~ v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C)
| ~ v1_funct_1(G)
| ~ m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C)
| ~ v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C)
| ~ v1_funct_1(F)
| ~ m1_subset_1(E,C)
| ~ m1_relset_1(D,k2_zfmisc_1(C,C),C)
| ~ v1_funct_2(D,k2_zfmisc_1(C,C),C)
| ~ v1_funct_1(D)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[free_g2_vectsp_2]) ).
fof(f_3094_2,plain,
! [U_7706,U_7705,U_7704,U_7703,U_7702,U_7701,U_7700] :
( ! [U_7699,U_7698,U_7697,U_7696,U_7695,U_7694,U_7693] :
( ( U_7700 = U_7693
& U_7701 = U_7694
& U_7702 = U_7695
& U_7703 = U_7696
& U_7704 = U_7697
& U_7705 = U_7698
& U_7706 = U_7699 )
| g2_vectsp_2(U_7706,U_7705,U_7704,U_7703,U_7702,U_7701,U_7700) != g2_vectsp_2(U_7699,U_7698,U_7697,U_7696,U_7695,U_7694,U_7693) )
| ~ m1_relset_1(U_7700,k2_zfmisc_1(U_7704,u1_struct_0(U_7705)),U_7704)
| ~ v1_funct_2(U_7700,k2_zfmisc_1(U_7704,u1_struct_0(U_7705)),U_7704)
| ~ v1_funct_1(U_7700)
| ~ m1_relset_1(U_7701,k2_zfmisc_1(u1_struct_0(U_7706),U_7704),U_7704)
| ~ v1_funct_2(U_7701,k2_zfmisc_1(u1_struct_0(U_7706),U_7704),U_7704)
| ~ v1_funct_1(U_7701)
| ~ m1_subset_1(U_7702,U_7704)
| ~ m1_relset_1(U_7703,k2_zfmisc_1(U_7704,U_7704),U_7704)
| ~ v1_funct_2(U_7703,k2_zfmisc_1(U_7704,U_7704),U_7704)
| ~ v1_funct_1(U_7703)
| ~ l1_struct_0(U_7705)
| ~ l1_struct_0(U_7706) ),
inference(variable_rename,[status(thm)],[f_3094_1]) ).
fof(f_3094_3,plain,
( ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7700 = U_7693
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7701 = U_7694
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7702 = U_7695
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7703 = U_7696
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7704 = U_7697
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7705 = U_7698
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( U_7706 = U_7699
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) )
& ! [U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705] :
( sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705)
| g2_vectsp_2(U_7706,U_7705,U_7704,U_7703,U_7702,U_7701,U_7700) != g2_vectsp_2(U_7699,U_7698,U_7697,U_7696,U_7695,U_7694,U_7693)
| ~ m1_relset_1(U_7700,k2_zfmisc_1(U_7704,u1_struct_0(U_7705)),U_7704)
| ~ v1_funct_2(U_7700,k2_zfmisc_1(U_7704,u1_struct_0(U_7705)),U_7704)
| ~ v1_funct_1(U_7700)
| ~ m1_relset_1(U_7701,k2_zfmisc_1(u1_struct_0(U_7706),U_7704),U_7704)
| ~ v1_funct_2(U_7701,k2_zfmisc_1(u1_struct_0(U_7706),U_7704),U_7704)
| ~ v1_funct_1(U_7701)
| ~ m1_subset_1(U_7702,U_7704)
| ~ m1_relset_1(U_7703,k2_zfmisc_1(U_7704,U_7704),U_7704)
| ~ v1_funct_2(U_7703,k2_zfmisc_1(U_7704,U_7704),U_7704)
| ~ v1_funct_1(U_7703)
| ~ l1_struct_0(U_7705)
| ~ l1_struct_0(U_7706) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1393])],[f_3094_2]) ).
cnf(f_3094_4,plain,
( sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705)
| g2_vectsp_2(U_7706,U_7705,U_7704,U_7703,U_7702,U_7701,U_7700) != g2_vectsp_2(U_7699,U_7698,U_7697,U_7696,U_7695,U_7694,U_7693)
| ~ m1_relset_1(U_7700,k2_zfmisc_1(U_7704,u1_struct_0(U_7705)),U_7704)
| ~ v1_funct_2(U_7700,k2_zfmisc_1(U_7704,u1_struct_0(U_7705)),U_7704)
| ~ v1_funct_1(U_7700)
| ~ m1_relset_1(U_7701,k2_zfmisc_1(u1_struct_0(U_7706),U_7704),U_7704)
| ~ v1_funct_2(U_7701,k2_zfmisc_1(u1_struct_0(U_7706),U_7704),U_7704)
| ~ v1_funct_1(U_7701)
| ~ m1_subset_1(U_7702,U_7704)
| ~ m1_relset_1(U_7703,k2_zfmisc_1(U_7704,U_7704),U_7704)
| ~ v1_funct_2(U_7703,k2_zfmisc_1(U_7704,U_7704),U_7704)
| ~ v1_funct_1(U_7703)
| ~ l1_struct_0(U_7705)
| ~ l1_struct_0(U_7706) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_5,plain,
( U_7706 = U_7699
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_6,plain,
( U_7705 = U_7698
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_7,plain,
( U_7704 = U_7697
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_8,plain,
( U_7703 = U_7696
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_9,plain,
( U_7702 = U_7695
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_10,plain,
( U_7701 = U_7694
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
cnf(f_3094_11,plain,
( U_7700 = U_7693
| ~ sP1393(U_7696,U_7697,U_7704,U_7706,U_7699,U_7693,U_7698,U_7694,U_7702,U_7695,U_7703,U_7701,U_7700,U_7705) ),
inference(clausify,[status(thm)],[f_3094_3]) ).
fof(f_3095_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_mod_1]) ).
fof(f_3095_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3095_1]) ).
cnf(f_3095_3,plain,
$true,
inference(clausify,[status(thm)],[f_3095_2]) ).
fof(f_3096_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_mod_1]) ).
fof(f_3096_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3096_1]) ).
cnf(f_3096_3,plain,
$true,
inference(clausify,[status(thm)],[f_3096_2]) ).
fof(f_3097_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_mod_1]) ).
fof(f_3097_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3097_1]) ).
cnf(f_3097_3,plain,
$true,
inference(clausify,[status(thm)],[f_3097_2]) ).
fof(f_3098_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_mod_1]) ).
fof(f_3098_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3098_1]) ).
cnf(f_3098_3,plain,
$true,
inference(clausify,[status(thm)],[f_3098_2]) ).
fof(f_3099_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t5_mod_1]) ).
fof(f_3099_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3099_1]) ).
cnf(f_3099_3,plain,
$true,
inference(clausify,[status(thm)],[f_3099_2]) ).
fof(f_3100_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t6_mod_1]) ).
fof(f_3100_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3100_1]) ).
cnf(f_3100_3,plain,
$true,
inference(clausify,[status(thm)],[f_3100_2]) ).
fof(f_3101_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_mod_1]) ).
fof(f_3101_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3101_1]) ).
cnf(f_3101_3,plain,
$true,
inference(clausify,[status(thm)],[f_3101_2]) ).
fof(f_3102_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_mod_1]) ).
fof(f_3102_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3102_1]) ).
cnf(f_3102_3,plain,
$true,
inference(clausify,[status(thm)],[f_3102_2]) ).
fof(f_3103_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t9_mod_1]) ).
fof(f_3103_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3103_1]) ).
cnf(f_3103_3,plain,
$true,
inference(clausify,[status(thm)],[f_3103_2]) ).
fof(f_3104_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t10_mod_1]) ).
fof(f_3104_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3104_1]) ).
cnf(f_3104_3,plain,
$true,
inference(clausify,[status(thm)],[f_3104_2]) ).
fof(f_3105_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_mod_1]) ).
fof(f_3105_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3105_1]) ).
cnf(f_3105_3,plain,
$true,
inference(clausify,[status(thm)],[f_3105_2]) ).
fof(f_3106_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_mod_1]) ).
fof(f_3106_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3106_1]) ).
cnf(f_3106_3,plain,
$true,
inference(clausify,[status(thm)],[f_3106_2]) ).
fof(f_3107_1,plain,
! [A] :
( ! [B] :
( k1_group_1(A,B,k5_rlvect_1(A,k2_group_1(A))) = k5_rlvect_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t13_mod_1]) ).
fof(f_3107_2,plain,
! [U_7708] :
( ! [U_7707] :
( k1_group_1(U_7708,U_7707,k5_rlvect_1(U_7708,k2_group_1(U_7708))) = k5_rlvect_1(U_7708,U_7707)
| ~ m1_subset_1(U_7707,u1_struct_0(U_7708)) )
| ~ l3_vectsp_1(U_7708)
| ~ v6_vectsp_1(U_7708)
| ~ v4_vectsp_1(U_7708)
| ~ v6_rlvect_1(U_7708)
| ~ v5_rlvect_1(U_7708)
| ~ v4_rlvect_1(U_7708)
| v3_struct_0(U_7708) ),
inference(variable_rename,[status(thm)],[f_3107_1]) ).
fof(f_3107_3,plain,
! [U_7708,U_7707] :
( k1_group_1(U_7708,U_7707,k5_rlvect_1(U_7708,k2_group_1(U_7708))) = k5_rlvect_1(U_7708,U_7707)
| ~ m1_subset_1(U_7707,u1_struct_0(U_7708))
| ~ l3_vectsp_1(U_7708)
| ~ v6_vectsp_1(U_7708)
| ~ v4_vectsp_1(U_7708)
| ~ v6_rlvect_1(U_7708)
| ~ v5_rlvect_1(U_7708)
| ~ v4_rlvect_1(U_7708)
| v3_struct_0(U_7708) ),
inference(definitional_conversion,[status(esa)],[f_3107_2]) ).
cnf(f_3107_4,plain,
( k1_group_1(U_7708,U_7707,k5_rlvect_1(U_7708,k2_group_1(U_7708))) = k5_rlvect_1(U_7708,U_7707)
| ~ m1_subset_1(U_7707,u1_struct_0(U_7708))
| ~ l3_vectsp_1(U_7708)
| ~ v6_vectsp_1(U_7708)
| ~ v4_vectsp_1(U_7708)
| ~ v6_rlvect_1(U_7708)
| ~ v5_rlvect_1(U_7708)
| ~ v4_rlvect_1(U_7708)
| v3_struct_0(U_7708) ),
inference(clausify,[status(thm)],[f_3107_3]) ).
fof(f_3108_1,plain,
! [A] :
( ! [B] :
( k1_group_1(A,k5_rlvect_1(A,k2_group_1(A)),B) = k5_rlvect_1(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v5_vectsp_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t14_mod_1]) ).
fof(f_3108_2,plain,
! [U_7710] :
( ! [U_7709] :
( k1_group_1(U_7710,k5_rlvect_1(U_7710,k2_group_1(U_7710)),U_7709) = k5_rlvect_1(U_7710,U_7709)
| ~ m1_subset_1(U_7709,u1_struct_0(U_7710)) )
| ~ l3_vectsp_1(U_7710)
| ~ v8_vectsp_1(U_7710)
| ~ v5_vectsp_1(U_7710)
| ~ v6_rlvect_1(U_7710)
| ~ v5_rlvect_1(U_7710)
| ~ v4_rlvect_1(U_7710)
| v3_struct_0(U_7710) ),
inference(variable_rename,[status(thm)],[f_3108_1]) ).
fof(f_3108_3,plain,
! [U_7710,U_7709] :
( k1_group_1(U_7710,k5_rlvect_1(U_7710,k2_group_1(U_7710)),U_7709) = k5_rlvect_1(U_7710,U_7709)
| ~ m1_subset_1(U_7709,u1_struct_0(U_7710))
| ~ l3_vectsp_1(U_7710)
| ~ v8_vectsp_1(U_7710)
| ~ v5_vectsp_1(U_7710)
| ~ v6_rlvect_1(U_7710)
| ~ v5_rlvect_1(U_7710)
| ~ v4_rlvect_1(U_7710)
| v3_struct_0(U_7710) ),
inference(definitional_conversion,[status(esa)],[f_3108_2]) ).
cnf(f_3108_4,plain,
( k1_group_1(U_7710,k5_rlvect_1(U_7710,k2_group_1(U_7710)),U_7709) = k5_rlvect_1(U_7710,U_7709)
| ~ m1_subset_1(U_7709,u1_struct_0(U_7710))
| ~ l3_vectsp_1(U_7710)
| ~ v8_vectsp_1(U_7710)
| ~ v5_vectsp_1(U_7710)
| ~ v6_rlvect_1(U_7710)
| ~ v5_rlvect_1(U_7710)
| ~ v4_rlvect_1(U_7710)
| v3_struct_0(U_7710) ),
inference(clausify,[status(thm)],[f_3108_3]) ).
fof(f_3109_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_mod_1]) ).
fof(f_3109_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3109_1]) ).
cnf(f_3109_3,plain,
$true,
inference(clausify,[status(thm)],[f_3109_2]) ).
fof(f_3110_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_mod_1]) ).
fof(f_3110_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3110_1]) ).
cnf(f_3110_3,plain,
$true,
inference(clausify,[status(thm)],[f_3110_2]) ).
fof(f_3111_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_mod_1]) ).
fof(f_3111_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3111_1]) ).
cnf(f_3111_3,plain,
$true,
inference(clausify,[status(thm)],[f_3111_2]) ).
fof(f_3112_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_mod_1]) ).
fof(f_3112_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3112_1]) ).
cnf(f_3112_3,plain,
$true,
inference(clausify,[status(thm)],[f_3112_2]) ).
fof(f_3113_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t19_mod_1]) ).
fof(f_3113_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3113_1]) ).
cnf(f_3113_3,plain,
$true,
inference(clausify,[status(thm)],[f_3113_2]) ).
fof(f_3114_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t20_mod_1]) ).
fof(f_3114_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3114_1]) ).
cnf(f_3114_3,plain,
$true,
inference(clausify,[status(thm)],[f_3114_2]) ).
fof(f_3115_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t21_mod_1]) ).
fof(f_3115_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3115_1]) ).
cnf(f_3115_3,plain,
$true,
inference(clausify,[status(thm)],[f_3115_2]) ).
fof(f_3116_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t22_mod_1]) ).
fof(f_3116_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3116_1]) ).
cnf(f_3116_3,plain,
$true,
inference(clausify,[status(thm)],[f_3116_2]) ).
fof(f_3117_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t23_mod_1]) ).
fof(f_3117_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3117_1]) ).
cnf(f_3117_3,plain,
$true,
inference(clausify,[status(thm)],[f_3117_2]) ).
fof(f_3118_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_mod_1]) ).
fof(f_3118_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3118_1]) ).
cnf(f_3118_3,plain,
$true,
inference(clausify,[status(thm)],[f_3118_2]) ).
fof(f_3119_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C)
| ( D != k1_rlvect_1(C)
& B != k1_rlvect_1(A) ) )
& ( D = k1_rlvect_1(C)
| B = k1_rlvect_1(A)
| k6_vectsp_1(A,C,B,D) != k1_rlvect_1(C) ) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l4_vectsp_1(C,A)
| ~ v12_vectsp_1(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_mod_1]) ).
fof(f_3119_2,plain,
! [U_7714] :
( ! [U_7713] :
( ! [U_7712] :
( ! [U_7711] :
( ( ( k6_vectsp_1(U_7714,U_7712,U_7713,U_7711) = k1_rlvect_1(U_7712)
| ( U_7711 != k1_rlvect_1(U_7712)
& U_7713 != k1_rlvect_1(U_7714) ) )
& ( U_7711 = k1_rlvect_1(U_7712)
| U_7713 = k1_rlvect_1(U_7714)
| k6_vectsp_1(U_7714,U_7712,U_7713,U_7711) != k1_rlvect_1(U_7712) ) )
| ~ m1_subset_1(U_7711,u1_struct_0(U_7712)) )
| ~ l4_vectsp_1(U_7712,U_7714)
| ~ v12_vectsp_1(U_7712,U_7714)
| ~ v6_rlvect_1(U_7712)
| ~ v5_rlvect_1(U_7712)
| ~ v4_rlvect_1(U_7712)
| v3_struct_0(U_7712) )
| ~ m1_subset_1(U_7713,u1_struct_0(U_7714)) )
| ~ l3_vectsp_1(U_7714)
| v10_vectsp_1(U_7714)
| ~ v9_vectsp_1(U_7714)
| ~ v8_vectsp_1(U_7714)
| ~ v7_vectsp_1(U_7714)
| ~ v6_vectsp_1(U_7714)
| ~ v4_group_1(U_7714)
| ~ v6_rlvect_1(U_7714)
| ~ v5_rlvect_1(U_7714)
| ~ v4_rlvect_1(U_7714)
| ~ v3_rlvect_1(U_7714)
| v3_struct_0(U_7714) ),
inference(variable_rename,[status(thm)],[f_3119_1]) ).
fof(f_3119_3,plain,
( ! [U_7712,U_7711,U_7713,U_7714] :
( U_7711 != k1_rlvect_1(U_7712)
| ~ sP1394(U_7712,U_7711,U_7713,U_7714) )
& ! [U_7712,U_7711,U_7713,U_7714] :
( U_7713 != k1_rlvect_1(U_7714)
| ~ sP1394(U_7712,U_7711,U_7713,U_7714) )
& ! [U_7712,U_7711,U_7713,U_7714] :
( k6_vectsp_1(U_7714,U_7712,U_7713,U_7711) = k1_rlvect_1(U_7712)
| sP1394(U_7712,U_7711,U_7713,U_7714)
| ~ sP1395(U_7712,U_7711,U_7713,U_7714) )
& ! [U_7712,U_7711,U_7713,U_7714] :
( U_7711 = k1_rlvect_1(U_7712)
| U_7713 = k1_rlvect_1(U_7714)
| k6_vectsp_1(U_7714,U_7712,U_7713,U_7711) != k1_rlvect_1(U_7712)
| ~ sP1395(U_7712,U_7711,U_7713,U_7714) )
& ! [U_7712,U_7711,U_7713,U_7714] :
( sP1395(U_7712,U_7711,U_7713,U_7714)
| ~ m1_subset_1(U_7711,u1_struct_0(U_7712))
| ~ l4_vectsp_1(U_7712,U_7714)
| ~ v12_vectsp_1(U_7712,U_7714)
| ~ v6_rlvect_1(U_7712)
| ~ v5_rlvect_1(U_7712)
| ~ v4_rlvect_1(U_7712)
| v3_struct_0(U_7712)
| ~ m1_subset_1(U_7713,u1_struct_0(U_7714))
| ~ l3_vectsp_1(U_7714)
| v10_vectsp_1(U_7714)
| ~ v9_vectsp_1(U_7714)
| ~ v8_vectsp_1(U_7714)
| ~ v7_vectsp_1(U_7714)
| ~ v6_vectsp_1(U_7714)
| ~ v4_group_1(U_7714)
| ~ v6_rlvect_1(U_7714)
| ~ v5_rlvect_1(U_7714)
| ~ v4_rlvect_1(U_7714)
| ~ v3_rlvect_1(U_7714)
| v3_struct_0(U_7714) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1394,sP1395])],[f_3119_2]) ).
cnf(f_3119_4,plain,
( sP1395(U_7712,U_7711,U_7713,U_7714)
| ~ m1_subset_1(U_7711,u1_struct_0(U_7712))
| ~ l4_vectsp_1(U_7712,U_7714)
| ~ v12_vectsp_1(U_7712,U_7714)
| ~ v6_rlvect_1(U_7712)
| ~ v5_rlvect_1(U_7712)
| ~ v4_rlvect_1(U_7712)
| v3_struct_0(U_7712)
| ~ m1_subset_1(U_7713,u1_struct_0(U_7714))
| ~ l3_vectsp_1(U_7714)
| v10_vectsp_1(U_7714)
| ~ v9_vectsp_1(U_7714)
| ~ v8_vectsp_1(U_7714)
| ~ v7_vectsp_1(U_7714)
| ~ v6_vectsp_1(U_7714)
| ~ v4_group_1(U_7714)
| ~ v6_rlvect_1(U_7714)
| ~ v5_rlvect_1(U_7714)
| ~ v4_rlvect_1(U_7714)
| ~ v3_rlvect_1(U_7714)
| v3_struct_0(U_7714) ),
inference(clausify,[status(thm)],[f_3119_3]) ).
cnf(f_3119_5,plain,
( U_7711 = k1_rlvect_1(U_7712)
| U_7713 = k1_rlvect_1(U_7714)
| k6_vectsp_1(U_7714,U_7712,U_7713,U_7711) != k1_rlvect_1(U_7712)
| ~ sP1395(U_7712,U_7711,U_7713,U_7714) ),
inference(clausify,[status(thm)],[f_3119_3]) ).
cnf(f_3119_6,plain,
( k6_vectsp_1(U_7714,U_7712,U_7713,U_7711) = k1_rlvect_1(U_7712)
| sP1394(U_7712,U_7711,U_7713,U_7714)
| ~ sP1395(U_7712,U_7711,U_7713,U_7714) ),
inference(clausify,[status(thm)],[f_3119_3]) ).
cnf(f_3119_7,plain,
( U_7713 != k1_rlvect_1(U_7714)
| ~ sP1394(U_7712,U_7711,U_7713,U_7714) ),
inference(clausify,[status(thm)],[f_3119_3]) ).
cnf(f_3119_8,plain,
( U_7711 != k1_rlvect_1(U_7712)
| ~ sP1394(U_7712,U_7711,U_7713,U_7714) ),
inference(clausify,[status(thm)],[f_3119_3]) ).
fof(f_3120_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_1(A,C,k1_vectsp_2(A,B),k6_vectsp_1(A,C,B,D)) = D
| B = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l4_vectsp_1(C,A)
| ~ v12_vectsp_1(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t26_mod_1]) ).
fof(f_3120_2,plain,
! [U_7718] :
( ! [U_7717] :
( ! [U_7716] :
( ! [U_7715] :
( k6_vectsp_1(U_7718,U_7716,k1_vectsp_2(U_7718,U_7717),k6_vectsp_1(U_7718,U_7716,U_7717,U_7715)) = U_7715
| U_7717 = k1_rlvect_1(U_7718)
| ~ m1_subset_1(U_7715,u1_struct_0(U_7716)) )
| ~ l4_vectsp_1(U_7716,U_7718)
| ~ v12_vectsp_1(U_7716,U_7718)
| ~ v6_rlvect_1(U_7716)
| ~ v5_rlvect_1(U_7716)
| ~ v4_rlvect_1(U_7716)
| v3_struct_0(U_7716) )
| ~ m1_subset_1(U_7717,u1_struct_0(U_7718)) )
| ~ l3_vectsp_1(U_7718)
| v10_vectsp_1(U_7718)
| ~ v9_vectsp_1(U_7718)
| ~ v8_vectsp_1(U_7718)
| ~ v7_vectsp_1(U_7718)
| ~ v6_vectsp_1(U_7718)
| ~ v4_group_1(U_7718)
| ~ v6_rlvect_1(U_7718)
| ~ v5_rlvect_1(U_7718)
| ~ v4_rlvect_1(U_7718)
| ~ v3_rlvect_1(U_7718)
| v3_struct_0(U_7718) ),
inference(variable_rename,[status(thm)],[f_3120_1]) ).
fof(f_3120_3,plain,
! [U_7715,U_7716,U_7718,U_7717] :
( k6_vectsp_1(U_7718,U_7716,k1_vectsp_2(U_7718,U_7717),k6_vectsp_1(U_7718,U_7716,U_7717,U_7715)) = U_7715
| U_7717 = k1_rlvect_1(U_7718)
| ~ m1_subset_1(U_7715,u1_struct_0(U_7716))
| ~ l4_vectsp_1(U_7716,U_7718)
| ~ v12_vectsp_1(U_7716,U_7718)
| ~ v6_rlvect_1(U_7716)
| ~ v5_rlvect_1(U_7716)
| ~ v4_rlvect_1(U_7716)
| v3_struct_0(U_7716)
| ~ m1_subset_1(U_7717,u1_struct_0(U_7718))
| ~ l3_vectsp_1(U_7718)
| v10_vectsp_1(U_7718)
| ~ v9_vectsp_1(U_7718)
| ~ v8_vectsp_1(U_7718)
| ~ v7_vectsp_1(U_7718)
| ~ v6_vectsp_1(U_7718)
| ~ v4_group_1(U_7718)
| ~ v6_rlvect_1(U_7718)
| ~ v5_rlvect_1(U_7718)
| ~ v4_rlvect_1(U_7718)
| ~ v3_rlvect_1(U_7718)
| v3_struct_0(U_7718) ),
inference(definitional_conversion,[status(esa)],[f_3120_2]) ).
cnf(f_3120_4,plain,
( k6_vectsp_1(U_7718,U_7716,k1_vectsp_2(U_7718,U_7717),k6_vectsp_1(U_7718,U_7716,U_7717,U_7715)) = U_7715
| U_7717 = k1_rlvect_1(U_7718)
| ~ m1_subset_1(U_7715,u1_struct_0(U_7716))
| ~ l4_vectsp_1(U_7716,U_7718)
| ~ v12_vectsp_1(U_7716,U_7718)
| ~ v6_rlvect_1(U_7716)
| ~ v5_rlvect_1(U_7716)
| ~ v4_rlvect_1(U_7716)
| v3_struct_0(U_7716)
| ~ m1_subset_1(U_7717,u1_struct_0(U_7718))
| ~ l3_vectsp_1(U_7718)
| v10_vectsp_1(U_7718)
| ~ v9_vectsp_1(U_7718)
| ~ v8_vectsp_1(U_7718)
| ~ v7_vectsp_1(U_7718)
| ~ v6_vectsp_1(U_7718)
| ~ v4_group_1(U_7718)
| ~ v6_rlvect_1(U_7718)
| ~ v5_rlvect_1(U_7718)
| ~ v4_rlvect_1(U_7718)
| ~ v3_rlvect_1(U_7718)
| v3_struct_0(U_7718) ),
inference(clausify,[status(thm)],[f_3120_3]) ).
fof(f_3121_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t27_mod_1]) ).
fof(f_3121_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3121_1]) ).
cnf(f_3121_3,plain,
$true,
inference(clausify,[status(thm)],[f_3121_2]) ).
fof(f_3122_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t28_mod_1]) ).
fof(f_3122_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3122_1]) ).
cnf(f_3122_3,plain,
$true,
inference(clausify,[status(thm)],[f_3122_2]) ).
fof(f_3123_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_mod_1]) ).
fof(f_3123_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3123_1]) ).
cnf(f_3123_3,plain,
$true,
inference(clausify,[status(thm)],[f_3123_2]) ).
fof(f_3124_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_mod_1]) ).
fof(f_3124_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3124_1]) ).
cnf(f_3124_3,plain,
$true,
inference(clausify,[status(thm)],[f_3124_2]) ).
fof(f_3125_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_mod_1]) ).
fof(f_3125_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3125_1]) ).
cnf(f_3125_3,plain,
$true,
inference(clausify,[status(thm)],[f_3125_2]) ).
fof(f_3126_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t32_mod_1]) ).
fof(f_3126_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3126_1]) ).
cnf(f_3126_3,plain,
$true,
inference(clausify,[status(thm)],[f_3126_2]) ).
fof(f_3127_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t33_mod_1]) ).
fof(f_3127_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3127_1]) ).
cnf(f_3127_3,plain,
$true,
inference(clausify,[status(thm)],[f_3127_2]) ).
fof(f_3128_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t34_mod_1]) ).
fof(f_3128_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3128_1]) ).
cnf(f_3128_3,plain,
$true,
inference(clausify,[status(thm)],[f_3128_2]) ).
fof(f_3129_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t35_mod_1]) ).
fof(f_3129_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3129_1]) ).
cnf(f_3129_3,plain,
$true,
inference(clausify,[status(thm)],[f_3129_2]) ).
fof(f_3130_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t36_mod_1]) ).
fof(f_3130_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3130_1]) ).
cnf(f_3130_3,plain,
$true,
inference(clausify,[status(thm)],[f_3130_2]) ).
fof(f_3131_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( k6_vectsp_2(A,B,C,k1_rlvect_1(B)) = k1_rlvect_1(B)
& k6_vectsp_2(A,B,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(B,D)
& k6_vectsp_2(A,B,k1_rlvect_1(A),D) = k1_rlvect_1(B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_mod_1]) ).
fof(f_3131_2,plain,
! [U_7722] :
( ! [U_7721] :
( ! [U_7720] :
( ! [U_7719] :
( ( k6_vectsp_2(U_7722,U_7721,U_7720,k1_rlvect_1(U_7721)) = k1_rlvect_1(U_7721)
& k6_vectsp_2(U_7722,U_7721,k5_rlvect_1(U_7722,k2_group_1(U_7722)),U_7719) = k5_rlvect_1(U_7721,U_7719)
& k6_vectsp_2(U_7722,U_7721,k1_rlvect_1(U_7722),U_7719) = k1_rlvect_1(U_7721) )
| ~ m1_subset_1(U_7719,u1_struct_0(U_7721)) )
| ~ m1_subset_1(U_7720,u1_struct_0(U_7722)) )
| ~ l1_vectsp_2(U_7721,U_7722)
| ~ v5_vectsp_2(U_7721,U_7722)
| ~ v6_rlvect_1(U_7721)
| ~ v5_rlvect_1(U_7721)
| ~ v4_rlvect_1(U_7721)
| v3_struct_0(U_7721) )
| ~ l3_vectsp_1(U_7722)
| ~ v8_vectsp_1(U_7722)
| ~ v7_vectsp_1(U_7722)
| ~ v6_vectsp_1(U_7722)
| ~ v4_group_1(U_7722)
| ~ v6_rlvect_1(U_7722)
| ~ v5_rlvect_1(U_7722)
| ~ v4_rlvect_1(U_7722)
| ~ v3_rlvect_1(U_7722)
| v3_struct_0(U_7722) ),
inference(variable_rename,[status(thm)],[f_3131_1]) ).
fof(f_3131_3,plain,
( ! [U_7721,U_7722,U_7719,U_7720] :
( k6_vectsp_2(U_7722,U_7721,U_7720,k1_rlvect_1(U_7721)) = k1_rlvect_1(U_7721)
| ~ sP1396(U_7721,U_7722,U_7719,U_7720) )
& ! [U_7721,U_7722,U_7719,U_7720] :
( k6_vectsp_2(U_7722,U_7721,k5_rlvect_1(U_7722,k2_group_1(U_7722)),U_7719) = k5_rlvect_1(U_7721,U_7719)
| ~ sP1396(U_7721,U_7722,U_7719,U_7720) )
& ! [U_7721,U_7722,U_7719,U_7720] :
( k6_vectsp_2(U_7722,U_7721,k1_rlvect_1(U_7722),U_7719) = k1_rlvect_1(U_7721)
| ~ sP1396(U_7721,U_7722,U_7719,U_7720) )
& ! [U_7721,U_7722,U_7719,U_7720] :
( sP1396(U_7721,U_7722,U_7719,U_7720)
| ~ m1_subset_1(U_7719,u1_struct_0(U_7721))
| ~ m1_subset_1(U_7720,u1_struct_0(U_7722))
| ~ l1_vectsp_2(U_7721,U_7722)
| ~ v5_vectsp_2(U_7721,U_7722)
| ~ v6_rlvect_1(U_7721)
| ~ v5_rlvect_1(U_7721)
| ~ v4_rlvect_1(U_7721)
| v3_struct_0(U_7721)
| ~ l3_vectsp_1(U_7722)
| ~ v8_vectsp_1(U_7722)
| ~ v7_vectsp_1(U_7722)
| ~ v6_vectsp_1(U_7722)
| ~ v4_group_1(U_7722)
| ~ v6_rlvect_1(U_7722)
| ~ v5_rlvect_1(U_7722)
| ~ v4_rlvect_1(U_7722)
| ~ v3_rlvect_1(U_7722)
| v3_struct_0(U_7722) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1396])],[f_3131_2]) ).
cnf(f_3131_4,plain,
( sP1396(U_7721,U_7722,U_7719,U_7720)
| ~ m1_subset_1(U_7719,u1_struct_0(U_7721))
| ~ m1_subset_1(U_7720,u1_struct_0(U_7722))
| ~ l1_vectsp_2(U_7721,U_7722)
| ~ v5_vectsp_2(U_7721,U_7722)
| ~ v6_rlvect_1(U_7721)
| ~ v5_rlvect_1(U_7721)
| ~ v4_rlvect_1(U_7721)
| v3_struct_0(U_7721)
| ~ l3_vectsp_1(U_7722)
| ~ v8_vectsp_1(U_7722)
| ~ v7_vectsp_1(U_7722)
| ~ v6_vectsp_1(U_7722)
| ~ v4_group_1(U_7722)
| ~ v6_rlvect_1(U_7722)
| ~ v5_rlvect_1(U_7722)
| ~ v4_rlvect_1(U_7722)
| ~ v3_rlvect_1(U_7722)
| v3_struct_0(U_7722) ),
inference(clausify,[status(thm)],[f_3131_3]) ).
cnf(f_3131_5,plain,
( k6_vectsp_2(U_7722,U_7721,k1_rlvect_1(U_7722),U_7719) = k1_rlvect_1(U_7721)
| ~ sP1396(U_7721,U_7722,U_7719,U_7720) ),
inference(clausify,[status(thm)],[f_3131_3]) ).
cnf(f_3131_6,plain,
( k6_vectsp_2(U_7722,U_7721,k5_rlvect_1(U_7722,k2_group_1(U_7722)),U_7719) = k5_rlvect_1(U_7721,U_7719)
| ~ sP1396(U_7721,U_7722,U_7719,U_7720) ),
inference(clausify,[status(thm)],[f_3131_3]) ).
cnf(f_3131_7,plain,
( k6_vectsp_2(U_7722,U_7721,U_7720,k1_rlvect_1(U_7721)) = k1_rlvect_1(U_7721)
| ~ sP1396(U_7721,U_7722,U_7719,U_7720) ),
inference(clausify,[status(thm)],[f_3131_3]) ).
fof(f_3132_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( k6_rlvect_1(B,E,k6_vectsp_2(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_2(A,B,k5_rlvect_1(A,C),D))
& k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) = k6_vectsp_2(A,B,k5_rlvect_1(A,C),D) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t38_mod_1]) ).
fof(f_3132_2,plain,
! [U_7727] :
( ! [U_7726] :
( ! [U_7725] :
( ! [U_7724] :
( ! [U_7723] :
( ( k6_rlvect_1(U_7726,U_7723,k6_vectsp_2(U_7727,U_7726,U_7725,U_7724)) = k2_rlvect_1(U_7726,U_7723,k6_vectsp_2(U_7727,U_7726,k5_rlvect_1(U_7727,U_7725),U_7724))
& k5_rlvect_1(U_7726,k6_vectsp_2(U_7727,U_7726,U_7725,U_7724)) = k6_vectsp_2(U_7727,U_7726,k5_rlvect_1(U_7727,U_7725),U_7724) )
| ~ m1_subset_1(U_7723,u1_struct_0(U_7726)) )
| ~ m1_subset_1(U_7724,u1_struct_0(U_7726)) )
| ~ m1_subset_1(U_7725,u1_struct_0(U_7727)) )
| ~ l1_vectsp_2(U_7726,U_7727)
| ~ v5_vectsp_2(U_7726,U_7727)
| ~ v6_rlvect_1(U_7726)
| ~ v5_rlvect_1(U_7726)
| ~ v4_rlvect_1(U_7726)
| v3_struct_0(U_7726) )
| ~ l3_vectsp_1(U_7727)
| ~ v8_vectsp_1(U_7727)
| ~ v7_vectsp_1(U_7727)
| ~ v6_vectsp_1(U_7727)
| ~ v4_group_1(U_7727)
| ~ v6_rlvect_1(U_7727)
| ~ v5_rlvect_1(U_7727)
| ~ v4_rlvect_1(U_7727)
| ~ v3_rlvect_1(U_7727)
| v3_struct_0(U_7727) ),
inference(variable_rename,[status(thm)],[f_3132_1]) ).
fof(f_3132_3,plain,
( ! [U_7727,U_7725,U_7723,U_7724,U_7726] :
( k6_rlvect_1(U_7726,U_7723,k6_vectsp_2(U_7727,U_7726,U_7725,U_7724)) = k2_rlvect_1(U_7726,U_7723,k6_vectsp_2(U_7727,U_7726,k5_rlvect_1(U_7727,U_7725),U_7724))
| ~ sP1397(U_7727,U_7725,U_7723,U_7724,U_7726) )
& ! [U_7727,U_7725,U_7723,U_7724,U_7726] :
( k5_rlvect_1(U_7726,k6_vectsp_2(U_7727,U_7726,U_7725,U_7724)) = k6_vectsp_2(U_7727,U_7726,k5_rlvect_1(U_7727,U_7725),U_7724)
| ~ sP1397(U_7727,U_7725,U_7723,U_7724,U_7726) )
& ! [U_7727,U_7725,U_7723,U_7724,U_7726] :
( sP1397(U_7727,U_7725,U_7723,U_7724,U_7726)
| ~ m1_subset_1(U_7723,u1_struct_0(U_7726))
| ~ m1_subset_1(U_7724,u1_struct_0(U_7726))
| ~ m1_subset_1(U_7725,u1_struct_0(U_7727))
| ~ l1_vectsp_2(U_7726,U_7727)
| ~ v5_vectsp_2(U_7726,U_7727)
| ~ v6_rlvect_1(U_7726)
| ~ v5_rlvect_1(U_7726)
| ~ v4_rlvect_1(U_7726)
| v3_struct_0(U_7726)
| ~ l3_vectsp_1(U_7727)
| ~ v8_vectsp_1(U_7727)
| ~ v7_vectsp_1(U_7727)
| ~ v6_vectsp_1(U_7727)
| ~ v4_group_1(U_7727)
| ~ v6_rlvect_1(U_7727)
| ~ v5_rlvect_1(U_7727)
| ~ v4_rlvect_1(U_7727)
| ~ v3_rlvect_1(U_7727)
| v3_struct_0(U_7727) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1397])],[f_3132_2]) ).
cnf(f_3132_4,plain,
( sP1397(U_7727,U_7725,U_7723,U_7724,U_7726)
| ~ m1_subset_1(U_7723,u1_struct_0(U_7726))
| ~ m1_subset_1(U_7724,u1_struct_0(U_7726))
| ~ m1_subset_1(U_7725,u1_struct_0(U_7727))
| ~ l1_vectsp_2(U_7726,U_7727)
| ~ v5_vectsp_2(U_7726,U_7727)
| ~ v6_rlvect_1(U_7726)
| ~ v5_rlvect_1(U_7726)
| ~ v4_rlvect_1(U_7726)
| v3_struct_0(U_7726)
| ~ l3_vectsp_1(U_7727)
| ~ v8_vectsp_1(U_7727)
| ~ v7_vectsp_1(U_7727)
| ~ v6_vectsp_1(U_7727)
| ~ v4_group_1(U_7727)
| ~ v6_rlvect_1(U_7727)
| ~ v5_rlvect_1(U_7727)
| ~ v4_rlvect_1(U_7727)
| ~ v3_rlvect_1(U_7727)
| v3_struct_0(U_7727) ),
inference(clausify,[status(thm)],[f_3132_3]) ).
cnf(f_3132_5,plain,
( k5_rlvect_1(U_7726,k6_vectsp_2(U_7727,U_7726,U_7725,U_7724)) = k6_vectsp_2(U_7727,U_7726,k5_rlvect_1(U_7727,U_7725),U_7724)
| ~ sP1397(U_7727,U_7725,U_7723,U_7724,U_7726) ),
inference(clausify,[status(thm)],[f_3132_3]) ).
cnf(f_3132_6,plain,
( k6_rlvect_1(U_7726,U_7723,k6_vectsp_2(U_7727,U_7726,U_7725,U_7724)) = k2_rlvect_1(U_7726,U_7723,k6_vectsp_2(U_7727,U_7726,k5_rlvect_1(U_7727,U_7725),U_7724))
| ~ sP1397(U_7727,U_7725,U_7723,U_7724,U_7726) ),
inference(clausify,[status(thm)],[f_3132_3]) ).
fof(f_3133_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_2(A,B,C,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_2(A,B,C,D))
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t39_mod_1]) ).
fof(f_3133_2,plain,
! [U_7731] :
( ! [U_7730] :
( ! [U_7729] :
( ! [U_7728] :
( k6_vectsp_2(U_7731,U_7730,U_7729,k5_rlvect_1(U_7730,U_7728)) = k5_rlvect_1(U_7730,k6_vectsp_2(U_7731,U_7730,U_7729,U_7728))
| ~ m1_subset_1(U_7728,u1_struct_0(U_7730)) )
| ~ m1_subset_1(U_7729,u1_struct_0(U_7731)) )
| ~ l1_vectsp_2(U_7730,U_7731)
| ~ v5_vectsp_2(U_7730,U_7731)
| ~ v6_rlvect_1(U_7730)
| ~ v5_rlvect_1(U_7730)
| ~ v4_rlvect_1(U_7730)
| v3_struct_0(U_7730) )
| ~ l3_vectsp_1(U_7731)
| ~ v8_vectsp_1(U_7731)
| ~ v7_vectsp_1(U_7731)
| ~ v6_vectsp_1(U_7731)
| ~ v4_group_1(U_7731)
| ~ v6_rlvect_1(U_7731)
| ~ v5_rlvect_1(U_7731)
| ~ v4_rlvect_1(U_7731)
| ~ v3_rlvect_1(U_7731)
| v3_struct_0(U_7731) ),
inference(variable_rename,[status(thm)],[f_3133_1]) ).
fof(f_3133_3,plain,
! [U_7730,U_7729,U_7731,U_7728] :
( k6_vectsp_2(U_7731,U_7730,U_7729,k5_rlvect_1(U_7730,U_7728)) = k5_rlvect_1(U_7730,k6_vectsp_2(U_7731,U_7730,U_7729,U_7728))
| ~ m1_subset_1(U_7728,u1_struct_0(U_7730))
| ~ m1_subset_1(U_7729,u1_struct_0(U_7731))
| ~ l1_vectsp_2(U_7730,U_7731)
| ~ v5_vectsp_2(U_7730,U_7731)
| ~ v6_rlvect_1(U_7730)
| ~ v5_rlvect_1(U_7730)
| ~ v4_rlvect_1(U_7730)
| v3_struct_0(U_7730)
| ~ l3_vectsp_1(U_7731)
| ~ v8_vectsp_1(U_7731)
| ~ v7_vectsp_1(U_7731)
| ~ v6_vectsp_1(U_7731)
| ~ v4_group_1(U_7731)
| ~ v6_rlvect_1(U_7731)
| ~ v5_rlvect_1(U_7731)
| ~ v4_rlvect_1(U_7731)
| ~ v3_rlvect_1(U_7731)
| v3_struct_0(U_7731) ),
inference(definitional_conversion,[status(esa)],[f_3133_2]) ).
cnf(f_3133_4,plain,
( k6_vectsp_2(U_7731,U_7730,U_7729,k5_rlvect_1(U_7730,U_7728)) = k5_rlvect_1(U_7730,k6_vectsp_2(U_7731,U_7730,U_7729,U_7728))
| ~ m1_subset_1(U_7728,u1_struct_0(U_7730))
| ~ m1_subset_1(U_7729,u1_struct_0(U_7731))
| ~ l1_vectsp_2(U_7730,U_7731)
| ~ v5_vectsp_2(U_7730,U_7731)
| ~ v6_rlvect_1(U_7730)
| ~ v5_rlvect_1(U_7730)
| ~ v4_rlvect_1(U_7730)
| v3_struct_0(U_7730)
| ~ l3_vectsp_1(U_7731)
| ~ v8_vectsp_1(U_7731)
| ~ v7_vectsp_1(U_7731)
| ~ v6_vectsp_1(U_7731)
| ~ v4_group_1(U_7731)
| ~ v6_rlvect_1(U_7731)
| ~ v5_rlvect_1(U_7731)
| ~ v4_rlvect_1(U_7731)
| ~ v3_rlvect_1(U_7731)
| v3_struct_0(U_7731) ),
inference(clausify,[status(thm)],[f_3133_3]) ).
fof(f_3134_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k6_vectsp_2(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E))
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_mod_1]) ).
fof(f_3134_2,plain,
! [U_7736] :
( ! [U_7735] :
( ! [U_7734] :
( ! [U_7733] :
( ! [U_7732] :
( k6_vectsp_2(U_7736,U_7735,U_7734,k6_rlvect_1(U_7735,U_7733,U_7732)) = k6_rlvect_1(U_7735,k6_vectsp_2(U_7736,U_7735,U_7734,U_7733),k6_vectsp_2(U_7736,U_7735,U_7734,U_7732))
| ~ m1_subset_1(U_7732,u1_struct_0(U_7735)) )
| ~ m1_subset_1(U_7733,u1_struct_0(U_7735)) )
| ~ m1_subset_1(U_7734,u1_struct_0(U_7736)) )
| ~ l1_vectsp_2(U_7735,U_7736)
| ~ v5_vectsp_2(U_7735,U_7736)
| ~ v6_rlvect_1(U_7735)
| ~ v5_rlvect_1(U_7735)
| ~ v4_rlvect_1(U_7735)
| v3_struct_0(U_7735) )
| ~ l3_vectsp_1(U_7736)
| ~ v8_vectsp_1(U_7736)
| ~ v7_vectsp_1(U_7736)
| ~ v6_vectsp_1(U_7736)
| ~ v4_group_1(U_7736)
| ~ v6_rlvect_1(U_7736)
| ~ v5_rlvect_1(U_7736)
| ~ v4_rlvect_1(U_7736)
| ~ v3_rlvect_1(U_7736)
| v3_struct_0(U_7736) ),
inference(variable_rename,[status(thm)],[f_3134_1]) ).
fof(f_3134_3,plain,
! [U_7734,U_7733,U_7732,U_7736,U_7735] :
( k6_vectsp_2(U_7736,U_7735,U_7734,k6_rlvect_1(U_7735,U_7733,U_7732)) = k6_rlvect_1(U_7735,k6_vectsp_2(U_7736,U_7735,U_7734,U_7733),k6_vectsp_2(U_7736,U_7735,U_7734,U_7732))
| ~ m1_subset_1(U_7732,u1_struct_0(U_7735))
| ~ m1_subset_1(U_7733,u1_struct_0(U_7735))
| ~ m1_subset_1(U_7734,u1_struct_0(U_7736))
| ~ l1_vectsp_2(U_7735,U_7736)
| ~ v5_vectsp_2(U_7735,U_7736)
| ~ v6_rlvect_1(U_7735)
| ~ v5_rlvect_1(U_7735)
| ~ v4_rlvect_1(U_7735)
| v3_struct_0(U_7735)
| ~ l3_vectsp_1(U_7736)
| ~ v8_vectsp_1(U_7736)
| ~ v7_vectsp_1(U_7736)
| ~ v6_vectsp_1(U_7736)
| ~ v4_group_1(U_7736)
| ~ v6_rlvect_1(U_7736)
| ~ v5_rlvect_1(U_7736)
| ~ v4_rlvect_1(U_7736)
| ~ v3_rlvect_1(U_7736)
| v3_struct_0(U_7736) ),
inference(definitional_conversion,[status(esa)],[f_3134_2]) ).
cnf(f_3134_4,plain,
( k6_vectsp_2(U_7736,U_7735,U_7734,k6_rlvect_1(U_7735,U_7733,U_7732)) = k6_rlvect_1(U_7735,k6_vectsp_2(U_7736,U_7735,U_7734,U_7733),k6_vectsp_2(U_7736,U_7735,U_7734,U_7732))
| ~ m1_subset_1(U_7732,u1_struct_0(U_7735))
| ~ m1_subset_1(U_7733,u1_struct_0(U_7735))
| ~ m1_subset_1(U_7734,u1_struct_0(U_7736))
| ~ l1_vectsp_2(U_7735,U_7736)
| ~ v5_vectsp_2(U_7735,U_7736)
| ~ v6_rlvect_1(U_7735)
| ~ v5_rlvect_1(U_7735)
| ~ v4_rlvect_1(U_7735)
| v3_struct_0(U_7735)
| ~ l3_vectsp_1(U_7736)
| ~ v8_vectsp_1(U_7736)
| ~ v7_vectsp_1(U_7736)
| ~ v6_vectsp_1(U_7736)
| ~ v4_group_1(U_7736)
| ~ v6_rlvect_1(U_7736)
| ~ v5_rlvect_1(U_7736)
| ~ v4_rlvect_1(U_7736)
| ~ v3_rlvect_1(U_7736)
| v3_struct_0(U_7736) ),
inference(clausify,[status(thm)],[f_3134_3]) ).
fof(f_3135_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t41_mod_1]) ).
fof(f_3135_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3135_1]) ).
cnf(f_3135_3,plain,
$true,
inference(clausify,[status(thm)],[f_3135_2]) ).
fof(f_3136_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k6_vectsp_2(A,C,B,D) = k1_rlvect_1(C)
| ( D != k1_rlvect_1(C)
& B != k1_rlvect_1(A) ) )
& ( D = k1_rlvect_1(C)
| B = k1_rlvect_1(A)
| k6_vectsp_2(A,C,B,D) != k1_rlvect_1(C) ) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_mod_1]) ).
fof(f_3136_2,plain,
! [U_7740] :
( ! [U_7739] :
( ! [U_7738] :
( ! [U_7737] :
( ( ( k6_vectsp_2(U_7740,U_7738,U_7739,U_7737) = k1_rlvect_1(U_7738)
| ( U_7737 != k1_rlvect_1(U_7738)
& U_7739 != k1_rlvect_1(U_7740) ) )
& ( U_7737 = k1_rlvect_1(U_7738)
| U_7739 = k1_rlvect_1(U_7740)
| k6_vectsp_2(U_7740,U_7738,U_7739,U_7737) != k1_rlvect_1(U_7738) ) )
| ~ m1_subset_1(U_7737,u1_struct_0(U_7738)) )
| ~ l1_vectsp_2(U_7738,U_7740)
| ~ v5_vectsp_2(U_7738,U_7740)
| ~ v6_rlvect_1(U_7738)
| ~ v5_rlvect_1(U_7738)
| ~ v4_rlvect_1(U_7738)
| v3_struct_0(U_7738) )
| ~ m1_subset_1(U_7739,u1_struct_0(U_7740)) )
| ~ l3_vectsp_1(U_7740)
| v10_vectsp_1(U_7740)
| ~ v9_vectsp_1(U_7740)
| ~ v8_vectsp_1(U_7740)
| ~ v7_vectsp_1(U_7740)
| ~ v6_vectsp_1(U_7740)
| ~ v4_group_1(U_7740)
| ~ v6_rlvect_1(U_7740)
| ~ v5_rlvect_1(U_7740)
| ~ v4_rlvect_1(U_7740)
| ~ v3_rlvect_1(U_7740)
| v3_struct_0(U_7740) ),
inference(variable_rename,[status(thm)],[f_3136_1]) ).
fof(f_3136_3,plain,
( ! [U_7738,U_7739,U_7737,U_7740] :
( U_7737 != k1_rlvect_1(U_7738)
| ~ sP1398(U_7738,U_7739,U_7737,U_7740) )
& ! [U_7738,U_7739,U_7737,U_7740] :
( U_7739 != k1_rlvect_1(U_7740)
| ~ sP1398(U_7738,U_7739,U_7737,U_7740) )
& ! [U_7738,U_7739,U_7737,U_7740] :
( k6_vectsp_2(U_7740,U_7738,U_7739,U_7737) = k1_rlvect_1(U_7738)
| sP1398(U_7738,U_7739,U_7737,U_7740)
| ~ sP1399(U_7738,U_7739,U_7737,U_7740) )
& ! [U_7738,U_7739,U_7737,U_7740] :
( U_7737 = k1_rlvect_1(U_7738)
| U_7739 = k1_rlvect_1(U_7740)
| k6_vectsp_2(U_7740,U_7738,U_7739,U_7737) != k1_rlvect_1(U_7738)
| ~ sP1399(U_7738,U_7739,U_7737,U_7740) )
& ! [U_7738,U_7739,U_7737,U_7740] :
( sP1399(U_7738,U_7739,U_7737,U_7740)
| ~ m1_subset_1(U_7737,u1_struct_0(U_7738))
| ~ l1_vectsp_2(U_7738,U_7740)
| ~ v5_vectsp_2(U_7738,U_7740)
| ~ v6_rlvect_1(U_7738)
| ~ v5_rlvect_1(U_7738)
| ~ v4_rlvect_1(U_7738)
| v3_struct_0(U_7738)
| ~ m1_subset_1(U_7739,u1_struct_0(U_7740))
| ~ l3_vectsp_1(U_7740)
| v10_vectsp_1(U_7740)
| ~ v9_vectsp_1(U_7740)
| ~ v8_vectsp_1(U_7740)
| ~ v7_vectsp_1(U_7740)
| ~ v6_vectsp_1(U_7740)
| ~ v4_group_1(U_7740)
| ~ v6_rlvect_1(U_7740)
| ~ v5_rlvect_1(U_7740)
| ~ v4_rlvect_1(U_7740)
| ~ v3_rlvect_1(U_7740)
| v3_struct_0(U_7740) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1398,sP1399])],[f_3136_2]) ).
cnf(f_3136_4,plain,
( sP1399(U_7738,U_7739,U_7737,U_7740)
| ~ m1_subset_1(U_7737,u1_struct_0(U_7738))
| ~ l1_vectsp_2(U_7738,U_7740)
| ~ v5_vectsp_2(U_7738,U_7740)
| ~ v6_rlvect_1(U_7738)
| ~ v5_rlvect_1(U_7738)
| ~ v4_rlvect_1(U_7738)
| v3_struct_0(U_7738)
| ~ m1_subset_1(U_7739,u1_struct_0(U_7740))
| ~ l3_vectsp_1(U_7740)
| v10_vectsp_1(U_7740)
| ~ v9_vectsp_1(U_7740)
| ~ v8_vectsp_1(U_7740)
| ~ v7_vectsp_1(U_7740)
| ~ v6_vectsp_1(U_7740)
| ~ v4_group_1(U_7740)
| ~ v6_rlvect_1(U_7740)
| ~ v5_rlvect_1(U_7740)
| ~ v4_rlvect_1(U_7740)
| ~ v3_rlvect_1(U_7740)
| v3_struct_0(U_7740) ),
inference(clausify,[status(thm)],[f_3136_3]) ).
cnf(f_3136_5,plain,
( U_7737 = k1_rlvect_1(U_7738)
| U_7739 = k1_rlvect_1(U_7740)
| k6_vectsp_2(U_7740,U_7738,U_7739,U_7737) != k1_rlvect_1(U_7738)
| ~ sP1399(U_7738,U_7739,U_7737,U_7740) ),
inference(clausify,[status(thm)],[f_3136_3]) ).
cnf(f_3136_6,plain,
( k6_vectsp_2(U_7740,U_7738,U_7739,U_7737) = k1_rlvect_1(U_7738)
| sP1398(U_7738,U_7739,U_7737,U_7740)
| ~ sP1399(U_7738,U_7739,U_7737,U_7740) ),
inference(clausify,[status(thm)],[f_3136_3]) ).
cnf(f_3136_7,plain,
( U_7739 != k1_rlvect_1(U_7740)
| ~ sP1398(U_7738,U_7739,U_7737,U_7740) ),
inference(clausify,[status(thm)],[f_3136_3]) ).
cnf(f_3136_8,plain,
( U_7737 != k1_rlvect_1(U_7738)
| ~ sP1398(U_7738,U_7739,U_7737,U_7740) ),
inference(clausify,[status(thm)],[f_3136_3]) ).
fof(f_3137_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k6_vectsp_2(A,C,k1_vectsp_2(A,B),k6_vectsp_2(A,C,B,D)) = D
| B = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| v10_vectsp_1(A)
| ~ v9_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_mod_1]) ).
fof(f_3137_2,plain,
! [U_7744] :
( ! [U_7743] :
( ! [U_7742] :
( ! [U_7741] :
( k6_vectsp_2(U_7744,U_7742,k1_vectsp_2(U_7744,U_7743),k6_vectsp_2(U_7744,U_7742,U_7743,U_7741)) = U_7741
| U_7743 = k1_rlvect_1(U_7744)
| ~ m1_subset_1(U_7741,u1_struct_0(U_7742)) )
| ~ l1_vectsp_2(U_7742,U_7744)
| ~ v5_vectsp_2(U_7742,U_7744)
| ~ v6_rlvect_1(U_7742)
| ~ v5_rlvect_1(U_7742)
| ~ v4_rlvect_1(U_7742)
| v3_struct_0(U_7742) )
| ~ m1_subset_1(U_7743,u1_struct_0(U_7744)) )
| ~ l3_vectsp_1(U_7744)
| v10_vectsp_1(U_7744)
| ~ v9_vectsp_1(U_7744)
| ~ v8_vectsp_1(U_7744)
| ~ v7_vectsp_1(U_7744)
| ~ v6_vectsp_1(U_7744)
| ~ v4_group_1(U_7744)
| ~ v6_rlvect_1(U_7744)
| ~ v5_rlvect_1(U_7744)
| ~ v4_rlvect_1(U_7744)
| ~ v3_rlvect_1(U_7744)
| v3_struct_0(U_7744) ),
inference(variable_rename,[status(thm)],[f_3137_1]) ).
fof(f_3137_3,plain,
! [U_7741,U_7742,U_7744,U_7743] :
( k6_vectsp_2(U_7744,U_7742,k1_vectsp_2(U_7744,U_7743),k6_vectsp_2(U_7744,U_7742,U_7743,U_7741)) = U_7741
| U_7743 = k1_rlvect_1(U_7744)
| ~ m1_subset_1(U_7741,u1_struct_0(U_7742))
| ~ l1_vectsp_2(U_7742,U_7744)
| ~ v5_vectsp_2(U_7742,U_7744)
| ~ v6_rlvect_1(U_7742)
| ~ v5_rlvect_1(U_7742)
| ~ v4_rlvect_1(U_7742)
| v3_struct_0(U_7742)
| ~ m1_subset_1(U_7743,u1_struct_0(U_7744))
| ~ l3_vectsp_1(U_7744)
| v10_vectsp_1(U_7744)
| ~ v9_vectsp_1(U_7744)
| ~ v8_vectsp_1(U_7744)
| ~ v7_vectsp_1(U_7744)
| ~ v6_vectsp_1(U_7744)
| ~ v4_group_1(U_7744)
| ~ v6_rlvect_1(U_7744)
| ~ v5_rlvect_1(U_7744)
| ~ v4_rlvect_1(U_7744)
| ~ v3_rlvect_1(U_7744)
| v3_struct_0(U_7744) ),
inference(definitional_conversion,[status(esa)],[f_3137_2]) ).
cnf(f_3137_4,plain,
( k6_vectsp_2(U_7744,U_7742,k1_vectsp_2(U_7744,U_7743),k6_vectsp_2(U_7744,U_7742,U_7743,U_7741)) = U_7741
| U_7743 = k1_rlvect_1(U_7744)
| ~ m1_subset_1(U_7741,u1_struct_0(U_7742))
| ~ l1_vectsp_2(U_7742,U_7744)
| ~ v5_vectsp_2(U_7742,U_7744)
| ~ v6_rlvect_1(U_7742)
| ~ v5_rlvect_1(U_7742)
| ~ v4_rlvect_1(U_7742)
| v3_struct_0(U_7742)
| ~ m1_subset_1(U_7743,u1_struct_0(U_7744))
| ~ l3_vectsp_1(U_7744)
| v10_vectsp_1(U_7744)
| ~ v9_vectsp_1(U_7744)
| ~ v8_vectsp_1(U_7744)
| ~ v7_vectsp_1(U_7744)
| ~ v6_vectsp_1(U_7744)
| ~ v4_group_1(U_7744)
| ~ v6_rlvect_1(U_7744)
| ~ v5_rlvect_1(U_7744)
| ~ v4_rlvect_1(U_7744)
| ~ v3_rlvect_1(U_7744)
| v3_struct_0(U_7744) ),
inference(clausify,[status(thm)],[f_3137_3]) ).
fof(f_3138_1,plain,
! [A,B] :
( ? [C] :
( v5_vectsp_2(C,A)
& v3_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C)
& m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_rmod_2]) ).
fof(f_3138_2,plain,
! [U_7747,U_7746] :
( ? [U_7745] :
( v5_vectsp_2(U_7745,U_7747)
& v3_vectsp_2(U_7745,U_7747)
& v6_rlvect_1(U_7745)
& v5_rlvect_1(U_7745)
& v4_rlvect_1(U_7745)
& v3_rlvect_1(U_7745)
& ~ v3_struct_0(U_7745)
& m1_rmod_2(U_7745,U_7747,U_7746) )
| ~ l1_vectsp_2(U_7746,U_7747)
| ~ v5_vectsp_2(U_7746,U_7747)
| ~ v6_rlvect_1(U_7746)
| ~ v5_rlvect_1(U_7746)
| ~ v4_rlvect_1(U_7746)
| ~ v3_rlvect_1(U_7746)
| v3_struct_0(U_7746)
| ~ l3_vectsp_1(U_7747)
| ~ v8_vectsp_1(U_7747)
| ~ v7_vectsp_1(U_7747)
| ~ v6_vectsp_1(U_7747)
| ~ v4_group_1(U_7747)
| ~ v6_rlvect_1(U_7747)
| ~ v5_rlvect_1(U_7747)
| ~ v4_rlvect_1(U_7747)
| ~ v3_rlvect_1(U_7747)
| v3_struct_0(U_7747) ),
inference(variable_rename,[status(thm)],[f_3138_1]) ).
fof(f_3138_3,plain,
! [U_7747,U_7746] :
( ( v5_vectsp_2(sK936(U_7747,U_7746),U_7747)
& v3_vectsp_2(sK936(U_7747,U_7746),U_7747)
& v6_rlvect_1(sK936(U_7747,U_7746))
& v5_rlvect_1(sK936(U_7747,U_7746))
& v4_rlvect_1(sK936(U_7747,U_7746))
& v3_rlvect_1(sK936(U_7747,U_7746))
& ~ v3_struct_0(sK936(U_7747,U_7746))
& m1_rmod_2(sK936(U_7747,U_7746),U_7747,U_7746) )
| ~ l1_vectsp_2(U_7746,U_7747)
| ~ v5_vectsp_2(U_7746,U_7747)
| ~ v6_rlvect_1(U_7746)
| ~ v5_rlvect_1(U_7746)
| ~ v4_rlvect_1(U_7746)
| ~ v3_rlvect_1(U_7746)
| v3_struct_0(U_7746)
| ~ l3_vectsp_1(U_7747)
| ~ v8_vectsp_1(U_7747)
| ~ v7_vectsp_1(U_7747)
| ~ v6_vectsp_1(U_7747)
| ~ v4_group_1(U_7747)
| ~ v6_rlvect_1(U_7747)
| ~ v5_rlvect_1(U_7747)
| ~ v4_rlvect_1(U_7747)
| ~ v3_rlvect_1(U_7747)
| v3_struct_0(U_7747) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK936]),skolemize(U_7745,sK936(U_7747,U_7746))],[f_3138_2]) ).
fof(f_3138_4,plain,
( ! [U_7746,U_7747] :
( v5_vectsp_2(sK936(U_7747,U_7746),U_7747)
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( v3_vectsp_2(sK936(U_7747,U_7746),U_7747)
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( v6_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( v5_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( v4_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( v3_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( ~ v3_struct_0(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( m1_rmod_2(sK936(U_7747,U_7746),U_7747,U_7746)
| ~ sP1400(U_7746,U_7747) )
& ! [U_7746,U_7747] :
( sP1400(U_7746,U_7747)
| ~ l1_vectsp_2(U_7746,U_7747)
| ~ v5_vectsp_2(U_7746,U_7747)
| ~ v6_rlvect_1(U_7746)
| ~ v5_rlvect_1(U_7746)
| ~ v4_rlvect_1(U_7746)
| ~ v3_rlvect_1(U_7746)
| v3_struct_0(U_7746)
| ~ l3_vectsp_1(U_7747)
| ~ v8_vectsp_1(U_7747)
| ~ v7_vectsp_1(U_7747)
| ~ v6_vectsp_1(U_7747)
| ~ v4_group_1(U_7747)
| ~ v6_rlvect_1(U_7747)
| ~ v5_rlvect_1(U_7747)
| ~ v4_rlvect_1(U_7747)
| ~ v3_rlvect_1(U_7747)
| v3_struct_0(U_7747) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1400])],[f_3138_3]) ).
cnf(f_3138_5,plain,
( sP1400(U_7746,U_7747)
| ~ l1_vectsp_2(U_7746,U_7747)
| ~ v5_vectsp_2(U_7746,U_7747)
| ~ v6_rlvect_1(U_7746)
| ~ v5_rlvect_1(U_7746)
| ~ v4_rlvect_1(U_7746)
| ~ v3_rlvect_1(U_7746)
| v3_struct_0(U_7746)
| ~ l3_vectsp_1(U_7747)
| ~ v8_vectsp_1(U_7747)
| ~ v7_vectsp_1(U_7747)
| ~ v6_vectsp_1(U_7747)
| ~ v4_group_1(U_7747)
| ~ v6_rlvect_1(U_7747)
| ~ v5_rlvect_1(U_7747)
| ~ v4_rlvect_1(U_7747)
| ~ v3_rlvect_1(U_7747)
| v3_struct_0(U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_6,plain,
( m1_rmod_2(sK936(U_7747,U_7746),U_7747,U_7746)
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_7,plain,
( ~ v3_struct_0(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_8,plain,
( v3_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_9,plain,
( v4_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_10,plain,
( v5_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_11,plain,
( v6_rlvect_1(sK936(U_7747,U_7746))
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_12,plain,
( v3_vectsp_2(sK936(U_7747,U_7746),U_7747)
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
cnf(f_3138_13,plain,
( v5_vectsp_2(sK936(U_7747,U_7746),U_7747)
| ~ sP1400(U_7746,U_7747) ),
inference(clausify,[status(thm)],[f_3138_4]) ).
fof(f_3139_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( v1_rmod_2(C,A,B)
| ? [D] :
( ? [E] :
( ~ r2_hidden(k6_vectsp_2(A,B,D,E),C)
& r2_hidden(E,C)
& m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,u1_struct_0(A)) )
| ? [D] :
( ? [E] :
( ~ r2_hidden(k4_rlvect_1(B,D,E),C)
& r2_hidden(E,C)
& r2_hidden(D,C)
& m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,u1_struct_0(B)) ) )
& ( ( ! [D] :
( ! [E] :
( r2_hidden(k6_vectsp_2(A,B,D,E),C)
| ~ r2_hidden(E,C)
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
& ! [D] :
( ! [E] :
( r2_hidden(k4_rlvect_1(B,D,E),C)
| ~ r2_hidden(E,C)
| ~ r2_hidden(D,C)
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) ) )
| ~ v1_rmod_2(C,A,B) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rmod_2]) ).
fof(f_3139_2,plain,
! [U_7758] :
( ! [U_7757] :
( ! [U_7756] :
( ( ( v1_rmod_2(U_7756,U_7758,U_7757)
| ? [U_7755] :
( ? [U_7754] :
( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7755,U_7754),U_7756)
& r2_hidden(U_7754,U_7756)
& m1_subset_1(U_7754,u1_struct_0(U_7757)) )
& m1_subset_1(U_7755,u1_struct_0(U_7758)) )
| ? [U_7753] :
( ? [U_7752] :
( ~ r2_hidden(k4_rlvect_1(U_7757,U_7753,U_7752),U_7756)
& r2_hidden(U_7752,U_7756)
& r2_hidden(U_7753,U_7756)
& m1_subset_1(U_7752,u1_struct_0(U_7757)) )
& m1_subset_1(U_7753,u1_struct_0(U_7757)) ) )
& ( ( ! [U_7751] :
( ! [U_7750] :
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758)) )
& ! [U_7749] :
( ! [U_7748] :
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757)) ) )
| ~ v1_rmod_2(U_7756,U_7758,U_7757) ) )
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757))) )
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757) )
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ),
inference(variable_rename,[status(thm)],[f_3139_1]) ).
fof(f_3139_3,plain,
! [U_7758] :
( ! [U_7757] :
( ! [U_7756] :
( ( ( v1_rmod_2(U_7756,U_7758,U_7757)
| ? [U_7755] :
( ? [U_7754] :
( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7755,U_7754),U_7756)
& r2_hidden(U_7754,U_7756)
& m1_subset_1(U_7754,u1_struct_0(U_7757)) )
& m1_subset_1(U_7755,u1_struct_0(U_7758)) )
| ( ? [U_7752] :
( ~ r2_hidden(k4_rlvect_1(U_7757,sK937(U_7758,U_7757,U_7756),U_7752),U_7756)
& r2_hidden(U_7752,U_7756)
& r2_hidden(sK937(U_7758,U_7757,U_7756),U_7756)
& m1_subset_1(U_7752,u1_struct_0(U_7757)) )
& m1_subset_1(sK937(U_7758,U_7757,U_7756),u1_struct_0(U_7757)) ) )
& ( ( ! [U_7751] :
( ! [U_7750] :
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758)) )
& ! [U_7749] :
( ! [U_7748] :
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757)) ) )
| ~ v1_rmod_2(U_7756,U_7758,U_7757) ) )
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757))) )
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757) )
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK937]),skolemize(U_7753,sK937(U_7758,U_7757,U_7756))],[f_3139_2]) ).
fof(f_3139_4,plain,
! [U_7758] :
( ! [U_7757] :
( ! [U_7756] :
( ( ( v1_rmod_2(U_7756,U_7758,U_7757)
| ? [U_7755] :
( ? [U_7754] :
( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7755,U_7754),U_7756)
& r2_hidden(U_7754,U_7756)
& m1_subset_1(U_7754,u1_struct_0(U_7757)) )
& m1_subset_1(U_7755,u1_struct_0(U_7758)) )
| ( ~ r2_hidden(k4_rlvect_1(U_7757,sK937(U_7758,U_7757,U_7756),sK938(U_7758,U_7757,U_7756)),U_7756)
& r2_hidden(sK938(U_7758,U_7757,U_7756),U_7756)
& r2_hidden(sK937(U_7758,U_7757,U_7756),U_7756)
& m1_subset_1(sK938(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
& m1_subset_1(sK937(U_7758,U_7757,U_7756),u1_struct_0(U_7757)) ) )
& ( ( ! [U_7751] :
( ! [U_7750] :
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758)) )
& ! [U_7749] :
( ! [U_7748] :
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757)) ) )
| ~ v1_rmod_2(U_7756,U_7758,U_7757) ) )
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757))) )
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757) )
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK938]),skolemize(U_7752,sK938(U_7758,U_7757,U_7756))],[f_3139_3]) ).
fof(f_3139_5,plain,
! [U_7758] :
( ! [U_7757] :
( ! [U_7756] :
( ( ( v1_rmod_2(U_7756,U_7758,U_7757)
| ( ? [U_7754] :
( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,sK939(U_7758,U_7757,U_7756),U_7754),U_7756)
& r2_hidden(U_7754,U_7756)
& m1_subset_1(U_7754,u1_struct_0(U_7757)) )
& m1_subset_1(sK939(U_7758,U_7757,U_7756),u1_struct_0(U_7758)) )
| ( ~ r2_hidden(k4_rlvect_1(U_7757,sK937(U_7758,U_7757,U_7756),sK938(U_7758,U_7757,U_7756)),U_7756)
& r2_hidden(sK938(U_7758,U_7757,U_7756),U_7756)
& r2_hidden(sK937(U_7758,U_7757,U_7756),U_7756)
& m1_subset_1(sK938(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
& m1_subset_1(sK937(U_7758,U_7757,U_7756),u1_struct_0(U_7757)) ) )
& ( ( ! [U_7751] :
( ! [U_7750] :
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758)) )
& ! [U_7749] :
( ! [U_7748] :
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757)) ) )
| ~ v1_rmod_2(U_7756,U_7758,U_7757) ) )
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757))) )
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757) )
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK939]),skolemize(U_7755,sK939(U_7758,U_7757,U_7756))],[f_3139_4]) ).
fof(f_3139_6,plain,
! [U_7758] :
( ! [U_7757] :
( ! [U_7756] :
( ( ( v1_rmod_2(U_7756,U_7758,U_7757)
| ( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,sK939(U_7758,U_7757,U_7756),sK940(U_7758,U_7757,U_7756)),U_7756)
& r2_hidden(sK940(U_7758,U_7757,U_7756),U_7756)
& m1_subset_1(sK940(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
& m1_subset_1(sK939(U_7758,U_7757,U_7756),u1_struct_0(U_7758)) )
| ( ~ r2_hidden(k4_rlvect_1(U_7757,sK937(U_7758,U_7757,U_7756),sK938(U_7758,U_7757,U_7756)),U_7756)
& r2_hidden(sK938(U_7758,U_7757,U_7756),U_7756)
& r2_hidden(sK937(U_7758,U_7757,U_7756),U_7756)
& m1_subset_1(sK938(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
& m1_subset_1(sK937(U_7758,U_7757,U_7756),u1_struct_0(U_7757)) ) )
& ( ( ! [U_7751] :
( ! [U_7750] :
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758)) )
& ! [U_7749] :
( ! [U_7748] :
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757)) )
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757)) ) )
| ~ v1_rmod_2(U_7756,U_7758,U_7757) ) )
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757))) )
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757) )
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK940]),skolemize(U_7754,sK940(U_7758,U_7757,U_7756))],[f_3139_5]) ).
fof(f_3139_7,plain,
( ! [U_7758,U_7756,U_7757] :
( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,sK939(U_7758,U_7757,U_7756),sK940(U_7758,U_7757,U_7756)),U_7756)
| ~ sP1403(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( r2_hidden(sK940(U_7758,U_7757,U_7756),U_7756)
| ~ sP1403(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( m1_subset_1(sK940(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
| ~ sP1403(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( m1_subset_1(sK939(U_7758,U_7757,U_7756),u1_struct_0(U_7758))
| ~ sP1403(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( ~ r2_hidden(k4_rlvect_1(U_7757,sK937(U_7758,U_7757,U_7756),sK938(U_7758,U_7757,U_7756)),U_7756)
| ~ sP1402(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( r2_hidden(sK938(U_7758,U_7757,U_7756),U_7756)
| ~ sP1402(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( r2_hidden(sK937(U_7758,U_7757,U_7756),U_7756)
| ~ sP1402(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( m1_subset_1(sK938(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
| ~ sP1402(U_7758,U_7756,U_7757) )
& ! [U_7758,U_7756,U_7757] :
( m1_subset_1(sK937(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
| ~ sP1402(U_7758,U_7756,U_7757) )
& ! [U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757] :
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757))
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758))
| ~ sP1401(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) )
& ! [U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757] :
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757))
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757))
| ~ sP1401(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) )
& ! [U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757] :
( v1_rmod_2(U_7756,U_7758,U_7757)
| sP1403(U_7758,U_7756,U_7757)
| sP1402(U_7758,U_7756,U_7757)
| ~ sP1404(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) )
& ! [U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757] :
( sP1401(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757)
| ~ v1_rmod_2(U_7756,U_7758,U_7757)
| ~ sP1404(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) )
& ! [U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757] :
( sP1404(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757)
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757)))
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757)
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1401,sP1402,sP1403,sP1404])],[f_3139_6]) ).
cnf(f_3139_8,plain,
( sP1404(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757)
| ~ m1_subset_1(U_7756,k1_zfmisc_1(u1_struct_0(U_7757)))
| ~ l1_vectsp_2(U_7757,U_7758)
| ~ v5_vectsp_2(U_7757,U_7758)
| ~ v6_rlvect_1(U_7757)
| ~ v5_rlvect_1(U_7757)
| ~ v4_rlvect_1(U_7757)
| ~ v3_rlvect_1(U_7757)
| v3_struct_0(U_7757)
| ~ l3_vectsp_1(U_7758)
| ~ v8_vectsp_1(U_7758)
| ~ v7_vectsp_1(U_7758)
| ~ v6_vectsp_1(U_7758)
| ~ v4_group_1(U_7758)
| ~ v6_rlvect_1(U_7758)
| ~ v5_rlvect_1(U_7758)
| ~ v4_rlvect_1(U_7758)
| ~ v3_rlvect_1(U_7758)
| v3_struct_0(U_7758) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_9,plain,
( sP1401(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757)
| ~ v1_rmod_2(U_7756,U_7758,U_7757)
| ~ sP1404(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_10,plain,
( v1_rmod_2(U_7756,U_7758,U_7757)
| sP1403(U_7758,U_7756,U_7757)
| sP1402(U_7758,U_7756,U_7757)
| ~ sP1404(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_11,plain,
( r2_hidden(k4_rlvect_1(U_7757,U_7749,U_7748),U_7756)
| ~ r2_hidden(U_7748,U_7756)
| ~ r2_hidden(U_7749,U_7756)
| ~ m1_subset_1(U_7748,u1_struct_0(U_7757))
| ~ m1_subset_1(U_7749,u1_struct_0(U_7757))
| ~ sP1401(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_12,plain,
( r2_hidden(k6_vectsp_2(U_7758,U_7757,U_7751,U_7750),U_7756)
| ~ r2_hidden(U_7750,U_7756)
| ~ m1_subset_1(U_7750,u1_struct_0(U_7757))
| ~ m1_subset_1(U_7751,u1_struct_0(U_7758))
| ~ sP1401(U_7750,U_7749,U_7748,U_7758,U_7751,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_13,plain,
( m1_subset_1(sK937(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
| ~ sP1402(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_14,plain,
( m1_subset_1(sK938(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
| ~ sP1402(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_15,plain,
( r2_hidden(sK937(U_7758,U_7757,U_7756),U_7756)
| ~ sP1402(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_16,plain,
( r2_hidden(sK938(U_7758,U_7757,U_7756),U_7756)
| ~ sP1402(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_17,plain,
( ~ r2_hidden(k4_rlvect_1(U_7757,sK937(U_7758,U_7757,U_7756),sK938(U_7758,U_7757,U_7756)),U_7756)
| ~ sP1402(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_18,plain,
( m1_subset_1(sK939(U_7758,U_7757,U_7756),u1_struct_0(U_7758))
| ~ sP1403(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_19,plain,
( m1_subset_1(sK940(U_7758,U_7757,U_7756),u1_struct_0(U_7757))
| ~ sP1403(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_20,plain,
( r2_hidden(sK940(U_7758,U_7757,U_7756),U_7756)
| ~ sP1403(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
cnf(f_3139_21,plain,
( ~ r2_hidden(k6_vectsp_2(U_7758,U_7757,sK939(U_7758,U_7757,U_7756),sK940(U_7758,U_7757,U_7756)),U_7756)
| ~ sP1403(U_7758,U_7756,U_7757) ),
inference(clausify,[status(thm)],[f_3139_7]) ).
fof(f_3140_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_rmod_2]) ).
fof(f_3140_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3140_1]) ).
cnf(f_3140_3,plain,
$true,
inference(clausify,[status(thm)],[f_3140_2]) ).
fof(f_3141_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_rmod_2]) ).
fof(f_3141_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3141_1]) ).
cnf(f_3141_3,plain,
$true,
inference(clausify,[status(thm)],[f_3141_2]) ).
fof(f_3142_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_rmod_2]) ).
fof(f_3142_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3142_1]) ).
cnf(f_3142_3,plain,
$true,
inference(clausify,[status(thm)],[f_3142_2]) ).
fof(f_3143_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r2_hidden(k1_rlvect_1(B),C)
| C = k1_xboole_0
| ~ v1_rmod_2(C,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t4_rmod_2]) ).
fof(f_3143_2,plain,
! [U_7761] :
( ! [U_7760] :
( ! [U_7759] :
( r2_hidden(k1_rlvect_1(U_7760),U_7759)
| U_7759 = k1_xboole_0
| ~ v1_rmod_2(U_7759,U_7761,U_7760)
| ~ m1_subset_1(U_7759,k1_zfmisc_1(u1_struct_0(U_7760))) )
| ~ l1_vectsp_2(U_7760,U_7761)
| ~ v5_vectsp_2(U_7760,U_7761)
| ~ v6_rlvect_1(U_7760)
| ~ v5_rlvect_1(U_7760)
| ~ v4_rlvect_1(U_7760)
| ~ v3_rlvect_1(U_7760)
| v3_struct_0(U_7760) )
| ~ l3_vectsp_1(U_7761)
| ~ v8_vectsp_1(U_7761)
| ~ v7_vectsp_1(U_7761)
| ~ v6_vectsp_1(U_7761)
| ~ v4_group_1(U_7761)
| ~ v6_rlvect_1(U_7761)
| ~ v5_rlvect_1(U_7761)
| ~ v4_rlvect_1(U_7761)
| ~ v3_rlvect_1(U_7761)
| v3_struct_0(U_7761) ),
inference(variable_rename,[status(thm)],[f_3143_1]) ).
fof(f_3143_3,plain,
! [U_7759,U_7761,U_7760] :
( r2_hidden(k1_rlvect_1(U_7760),U_7759)
| U_7759 = k1_xboole_0
| ~ v1_rmod_2(U_7759,U_7761,U_7760)
| ~ m1_subset_1(U_7759,k1_zfmisc_1(u1_struct_0(U_7760)))
| ~ l1_vectsp_2(U_7760,U_7761)
| ~ v5_vectsp_2(U_7760,U_7761)
| ~ v6_rlvect_1(U_7760)
| ~ v5_rlvect_1(U_7760)
| ~ v4_rlvect_1(U_7760)
| ~ v3_rlvect_1(U_7760)
| v3_struct_0(U_7760)
| ~ l3_vectsp_1(U_7761)
| ~ v8_vectsp_1(U_7761)
| ~ v7_vectsp_1(U_7761)
| ~ v6_vectsp_1(U_7761)
| ~ v4_group_1(U_7761)
| ~ v6_rlvect_1(U_7761)
| ~ v5_rlvect_1(U_7761)
| ~ v4_rlvect_1(U_7761)
| ~ v3_rlvect_1(U_7761)
| v3_struct_0(U_7761) ),
inference(definitional_conversion,[status(esa)],[f_3143_2]) ).
cnf(f_3143_4,plain,
( r2_hidden(k1_rlvect_1(U_7760),U_7759)
| U_7759 = k1_xboole_0
| ~ v1_rmod_2(U_7759,U_7761,U_7760)
| ~ m1_subset_1(U_7759,k1_zfmisc_1(u1_struct_0(U_7760)))
| ~ l1_vectsp_2(U_7760,U_7761)
| ~ v5_vectsp_2(U_7760,U_7761)
| ~ v6_rlvect_1(U_7760)
| ~ v5_rlvect_1(U_7760)
| ~ v4_rlvect_1(U_7760)
| ~ v3_rlvect_1(U_7760)
| v3_struct_0(U_7760)
| ~ l3_vectsp_1(U_7761)
| ~ v8_vectsp_1(U_7761)
| ~ v7_vectsp_1(U_7761)
| ~ v6_vectsp_1(U_7761)
| ~ v4_group_1(U_7761)
| ~ v6_rlvect_1(U_7761)
| ~ v5_rlvect_1(U_7761)
| ~ v4_rlvect_1(U_7761)
| ~ v3_rlvect_1(U_7761)
| v3_struct_0(U_7761) ),
inference(clausify,[status(thm)],[f_3143_3]) ).
fof(f_3144_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r2_hidden(k5_rlvect_1(B,D),C)
| ~ r2_hidden(D,C)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ v1_rmod_2(C,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rmod_2]) ).
fof(f_3144_2,plain,
! [U_7765] :
( ! [U_7764] :
( ! [U_7763] :
( ! [U_7762] :
( r2_hidden(k5_rlvect_1(U_7764,U_7762),U_7763)
| ~ r2_hidden(U_7762,U_7763)
| ~ m1_subset_1(U_7762,u1_struct_0(U_7764)) )
| ~ v1_rmod_2(U_7763,U_7765,U_7764)
| ~ m1_subset_1(U_7763,k1_zfmisc_1(u1_struct_0(U_7764))) )
| ~ l1_vectsp_2(U_7764,U_7765)
| ~ v5_vectsp_2(U_7764,U_7765)
| ~ v6_rlvect_1(U_7764)
| ~ v5_rlvect_1(U_7764)
| ~ v4_rlvect_1(U_7764)
| ~ v3_rlvect_1(U_7764)
| v3_struct_0(U_7764) )
| ~ l3_vectsp_1(U_7765)
| ~ v8_vectsp_1(U_7765)
| ~ v7_vectsp_1(U_7765)
| ~ v6_vectsp_1(U_7765)
| ~ v4_group_1(U_7765)
| ~ v6_rlvect_1(U_7765)
| ~ v5_rlvect_1(U_7765)
| ~ v4_rlvect_1(U_7765)
| ~ v3_rlvect_1(U_7765)
| v3_struct_0(U_7765) ),
inference(variable_rename,[status(thm)],[f_3144_1]) ).
fof(f_3144_3,plain,
! [U_7762,U_7764,U_7763,U_7765] :
( r2_hidden(k5_rlvect_1(U_7764,U_7762),U_7763)
| ~ r2_hidden(U_7762,U_7763)
| ~ m1_subset_1(U_7762,u1_struct_0(U_7764))
| ~ v1_rmod_2(U_7763,U_7765,U_7764)
| ~ m1_subset_1(U_7763,k1_zfmisc_1(u1_struct_0(U_7764)))
| ~ l1_vectsp_2(U_7764,U_7765)
| ~ v5_vectsp_2(U_7764,U_7765)
| ~ v6_rlvect_1(U_7764)
| ~ v5_rlvect_1(U_7764)
| ~ v4_rlvect_1(U_7764)
| ~ v3_rlvect_1(U_7764)
| v3_struct_0(U_7764)
| ~ l3_vectsp_1(U_7765)
| ~ v8_vectsp_1(U_7765)
| ~ v7_vectsp_1(U_7765)
| ~ v6_vectsp_1(U_7765)
| ~ v4_group_1(U_7765)
| ~ v6_rlvect_1(U_7765)
| ~ v5_rlvect_1(U_7765)
| ~ v4_rlvect_1(U_7765)
| ~ v3_rlvect_1(U_7765)
| v3_struct_0(U_7765) ),
inference(definitional_conversion,[status(esa)],[f_3144_2]) ).
cnf(f_3144_4,plain,
( r2_hidden(k5_rlvect_1(U_7764,U_7762),U_7763)
| ~ r2_hidden(U_7762,U_7763)
| ~ m1_subset_1(U_7762,u1_struct_0(U_7764))
| ~ v1_rmod_2(U_7763,U_7765,U_7764)
| ~ m1_subset_1(U_7763,k1_zfmisc_1(u1_struct_0(U_7764)))
| ~ l1_vectsp_2(U_7764,U_7765)
| ~ v5_vectsp_2(U_7764,U_7765)
| ~ v6_rlvect_1(U_7764)
| ~ v5_rlvect_1(U_7764)
| ~ v4_rlvect_1(U_7764)
| ~ v3_rlvect_1(U_7764)
| v3_struct_0(U_7764)
| ~ l3_vectsp_1(U_7765)
| ~ v8_vectsp_1(U_7765)
| ~ v7_vectsp_1(U_7765)
| ~ v6_vectsp_1(U_7765)
| ~ v4_group_1(U_7765)
| ~ v6_rlvect_1(U_7765)
| ~ v5_rlvect_1(U_7765)
| ~ v4_rlvect_1(U_7765)
| ~ v3_rlvect_1(U_7765)
| v3_struct_0(U_7765) ),
inference(clausify,[status(thm)],[f_3144_3]) ).
fof(f_3145_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r2_hidden(k6_rlvect_1(B,D,E),C)
| ~ r2_hidden(E,C)
| ~ r2_hidden(D,C)
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ v1_rmod_2(C,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_rmod_2]) ).
fof(f_3145_2,plain,
! [U_7770] :
( ! [U_7769] :
( ! [U_7768] :
( ! [U_7767] :
( ! [U_7766] :
( r2_hidden(k6_rlvect_1(U_7769,U_7767,U_7766),U_7768)
| ~ r2_hidden(U_7766,U_7768)
| ~ r2_hidden(U_7767,U_7768)
| ~ m1_subset_1(U_7766,u1_struct_0(U_7769)) )
| ~ m1_subset_1(U_7767,u1_struct_0(U_7769)) )
| ~ v1_rmod_2(U_7768,U_7770,U_7769)
| ~ m1_subset_1(U_7768,k1_zfmisc_1(u1_struct_0(U_7769))) )
| ~ l1_vectsp_2(U_7769,U_7770)
| ~ v5_vectsp_2(U_7769,U_7770)
| ~ v6_rlvect_1(U_7769)
| ~ v5_rlvect_1(U_7769)
| ~ v4_rlvect_1(U_7769)
| ~ v3_rlvect_1(U_7769)
| v3_struct_0(U_7769) )
| ~ l3_vectsp_1(U_7770)
| ~ v8_vectsp_1(U_7770)
| ~ v7_vectsp_1(U_7770)
| ~ v6_vectsp_1(U_7770)
| ~ v4_group_1(U_7770)
| ~ v6_rlvect_1(U_7770)
| ~ v5_rlvect_1(U_7770)
| ~ v4_rlvect_1(U_7770)
| ~ v3_rlvect_1(U_7770)
| v3_struct_0(U_7770) ),
inference(variable_rename,[status(thm)],[f_3145_1]) ).
fof(f_3145_3,plain,
! [U_7769,U_7768,U_7770,U_7766,U_7767] :
( r2_hidden(k6_rlvect_1(U_7769,U_7767,U_7766),U_7768)
| ~ r2_hidden(U_7766,U_7768)
| ~ r2_hidden(U_7767,U_7768)
| ~ m1_subset_1(U_7766,u1_struct_0(U_7769))
| ~ m1_subset_1(U_7767,u1_struct_0(U_7769))
| ~ v1_rmod_2(U_7768,U_7770,U_7769)
| ~ m1_subset_1(U_7768,k1_zfmisc_1(u1_struct_0(U_7769)))
| ~ l1_vectsp_2(U_7769,U_7770)
| ~ v5_vectsp_2(U_7769,U_7770)
| ~ v6_rlvect_1(U_7769)
| ~ v5_rlvect_1(U_7769)
| ~ v4_rlvect_1(U_7769)
| ~ v3_rlvect_1(U_7769)
| v3_struct_0(U_7769)
| ~ l3_vectsp_1(U_7770)
| ~ v8_vectsp_1(U_7770)
| ~ v7_vectsp_1(U_7770)
| ~ v6_vectsp_1(U_7770)
| ~ v4_group_1(U_7770)
| ~ v6_rlvect_1(U_7770)
| ~ v5_rlvect_1(U_7770)
| ~ v4_rlvect_1(U_7770)
| ~ v3_rlvect_1(U_7770)
| v3_struct_0(U_7770) ),
inference(definitional_conversion,[status(esa)],[f_3145_2]) ).
cnf(f_3145_4,plain,
( r2_hidden(k6_rlvect_1(U_7769,U_7767,U_7766),U_7768)
| ~ r2_hidden(U_7766,U_7768)
| ~ r2_hidden(U_7767,U_7768)
| ~ m1_subset_1(U_7766,u1_struct_0(U_7769))
| ~ m1_subset_1(U_7767,u1_struct_0(U_7769))
| ~ v1_rmod_2(U_7768,U_7770,U_7769)
| ~ m1_subset_1(U_7768,k1_zfmisc_1(u1_struct_0(U_7769)))
| ~ l1_vectsp_2(U_7769,U_7770)
| ~ v5_vectsp_2(U_7769,U_7770)
| ~ v6_rlvect_1(U_7769)
| ~ v5_rlvect_1(U_7769)
| ~ v4_rlvect_1(U_7769)
| ~ v3_rlvect_1(U_7769)
| v3_struct_0(U_7769)
| ~ l3_vectsp_1(U_7770)
| ~ v8_vectsp_1(U_7770)
| ~ v7_vectsp_1(U_7770)
| ~ v6_vectsp_1(U_7770)
| ~ v4_group_1(U_7770)
| ~ v6_rlvect_1(U_7770)
| ~ v5_rlvect_1(U_7770)
| ~ v4_rlvect_1(U_7770)
| ~ v3_rlvect_1(U_7770)
| v3_struct_0(U_7770) ),
inference(clausify,[status(thm)],[f_3145_3]) ).
fof(f_3146_1,plain,
! [A] :
( ! [B] :
( v1_rmod_2(k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)),A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_rmod_2]) ).
fof(f_3146_2,plain,
! [U_7772] :
( ! [U_7771] :
( v1_rmod_2(k6_domain_1(u1_struct_0(U_7771),k1_rlvect_1(U_7771)),U_7772,U_7771)
| ~ l1_vectsp_2(U_7771,U_7772)
| ~ v5_vectsp_2(U_7771,U_7772)
| ~ v6_rlvect_1(U_7771)
| ~ v5_rlvect_1(U_7771)
| ~ v4_rlvect_1(U_7771)
| ~ v3_rlvect_1(U_7771)
| v3_struct_0(U_7771) )
| ~ l3_vectsp_1(U_7772)
| ~ v8_vectsp_1(U_7772)
| ~ v7_vectsp_1(U_7772)
| ~ v6_vectsp_1(U_7772)
| ~ v4_group_1(U_7772)
| ~ v6_rlvect_1(U_7772)
| ~ v5_rlvect_1(U_7772)
| ~ v4_rlvect_1(U_7772)
| ~ v3_rlvect_1(U_7772)
| v3_struct_0(U_7772) ),
inference(variable_rename,[status(thm)],[f_3146_1]) ).
fof(f_3146_3,plain,
! [U_7772,U_7771] :
( v1_rmod_2(k6_domain_1(u1_struct_0(U_7771),k1_rlvect_1(U_7771)),U_7772,U_7771)
| ~ l1_vectsp_2(U_7771,U_7772)
| ~ v5_vectsp_2(U_7771,U_7772)
| ~ v6_rlvect_1(U_7771)
| ~ v5_rlvect_1(U_7771)
| ~ v4_rlvect_1(U_7771)
| ~ v3_rlvect_1(U_7771)
| v3_struct_0(U_7771)
| ~ l3_vectsp_1(U_7772)
| ~ v8_vectsp_1(U_7772)
| ~ v7_vectsp_1(U_7772)
| ~ v6_vectsp_1(U_7772)
| ~ v4_group_1(U_7772)
| ~ v6_rlvect_1(U_7772)
| ~ v5_rlvect_1(U_7772)
| ~ v4_rlvect_1(U_7772)
| ~ v3_rlvect_1(U_7772)
| v3_struct_0(U_7772) ),
inference(definitional_conversion,[status(esa)],[f_3146_2]) ).
cnf(f_3146_4,plain,
( v1_rmod_2(k6_domain_1(u1_struct_0(U_7771),k1_rlvect_1(U_7771)),U_7772,U_7771)
| ~ l1_vectsp_2(U_7771,U_7772)
| ~ v5_vectsp_2(U_7771,U_7772)
| ~ v6_rlvect_1(U_7771)
| ~ v5_rlvect_1(U_7771)
| ~ v4_rlvect_1(U_7771)
| ~ v3_rlvect_1(U_7771)
| v3_struct_0(U_7771)
| ~ l3_vectsp_1(U_7772)
| ~ v8_vectsp_1(U_7772)
| ~ v7_vectsp_1(U_7772)
| ~ v6_vectsp_1(U_7772)
| ~ v4_group_1(U_7772)
| ~ v6_rlvect_1(U_7772)
| ~ v5_rlvect_1(U_7772)
| ~ v4_rlvect_1(U_7772)
| ~ v3_rlvect_1(U_7772)
| v3_struct_0(U_7772) ),
inference(clausify,[status(thm)],[f_3146_3]) ).
fof(f_3147_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( v1_rmod_2(C,A,B)
| u1_struct_0(B) != C
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t8_rmod_2]) ).
fof(f_3147_2,plain,
! [U_7775] :
( ! [U_7774] :
( ! [U_7773] :
( v1_rmod_2(U_7773,U_7775,U_7774)
| u1_struct_0(U_7774) != U_7773
| ~ m1_subset_1(U_7773,k1_zfmisc_1(u1_struct_0(U_7774))) )
| ~ l1_vectsp_2(U_7774,U_7775)
| ~ v5_vectsp_2(U_7774,U_7775)
| ~ v6_rlvect_1(U_7774)
| ~ v5_rlvect_1(U_7774)
| ~ v4_rlvect_1(U_7774)
| ~ v3_rlvect_1(U_7774)
| v3_struct_0(U_7774) )
| ~ l3_vectsp_1(U_7775)
| ~ v8_vectsp_1(U_7775)
| ~ v7_vectsp_1(U_7775)
| ~ v6_vectsp_1(U_7775)
| ~ v4_group_1(U_7775)
| ~ v6_rlvect_1(U_7775)
| ~ v5_rlvect_1(U_7775)
| ~ v4_rlvect_1(U_7775)
| ~ v3_rlvect_1(U_7775)
| v3_struct_0(U_7775) ),
inference(variable_rename,[status(thm)],[f_3147_1]) ).
fof(f_3147_3,plain,
! [U_7774,U_7773,U_7775] :
( v1_rmod_2(U_7773,U_7775,U_7774)
| u1_struct_0(U_7774) != U_7773
| ~ m1_subset_1(U_7773,k1_zfmisc_1(u1_struct_0(U_7774)))
| ~ l1_vectsp_2(U_7774,U_7775)
| ~ v5_vectsp_2(U_7774,U_7775)
| ~ v6_rlvect_1(U_7774)
| ~ v5_rlvect_1(U_7774)
| ~ v4_rlvect_1(U_7774)
| ~ v3_rlvect_1(U_7774)
| v3_struct_0(U_7774)
| ~ l3_vectsp_1(U_7775)
| ~ v8_vectsp_1(U_7775)
| ~ v7_vectsp_1(U_7775)
| ~ v6_vectsp_1(U_7775)
| ~ v4_group_1(U_7775)
| ~ v6_rlvect_1(U_7775)
| ~ v5_rlvect_1(U_7775)
| ~ v4_rlvect_1(U_7775)
| ~ v3_rlvect_1(U_7775)
| v3_struct_0(U_7775) ),
inference(definitional_conversion,[status(esa)],[f_3147_2]) ).
cnf(f_3147_4,plain,
( v1_rmod_2(U_7773,U_7775,U_7774)
| u1_struct_0(U_7774) != U_7773
| ~ m1_subset_1(U_7773,k1_zfmisc_1(u1_struct_0(U_7774)))
| ~ l1_vectsp_2(U_7774,U_7775)
| ~ v5_vectsp_2(U_7774,U_7775)
| ~ v6_rlvect_1(U_7774)
| ~ v5_rlvect_1(U_7774)
| ~ v4_rlvect_1(U_7774)
| ~ v3_rlvect_1(U_7774)
| v3_struct_0(U_7774)
| ~ l3_vectsp_1(U_7775)
| ~ v8_vectsp_1(U_7775)
| ~ v7_vectsp_1(U_7775)
| ~ v6_vectsp_1(U_7775)
| ~ v4_group_1(U_7775)
| ~ v6_rlvect_1(U_7775)
| ~ v5_rlvect_1(U_7775)
| ~ v4_rlvect_1(U_7775)
| ~ v3_rlvect_1(U_7775)
| v3_struct_0(U_7775) ),
inference(clausify,[status(thm)],[f_3147_3]) ).
fof(f_3148_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( v1_rmod_2(k5_subset_1(u1_struct_0(B),C,D),A,B)
| ~ v1_rmod_2(D,A,B)
| ~ v1_rmod_2(C,A,B)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t10_rmod_2]) ).
fof(f_3148_2,plain,
! [U_7779] :
( ! [U_7778] :
( ! [U_7777] :
( ! [U_7776] :
( v1_rmod_2(k5_subset_1(u1_struct_0(U_7778),U_7777,U_7776),U_7779,U_7778)
| ~ v1_rmod_2(U_7776,U_7779,U_7778)
| ~ v1_rmod_2(U_7777,U_7779,U_7778)
| ~ m1_subset_1(U_7776,k1_zfmisc_1(u1_struct_0(U_7778))) )
| ~ m1_subset_1(U_7777,k1_zfmisc_1(u1_struct_0(U_7778))) )
| ~ l1_vectsp_2(U_7778,U_7779)
| ~ v5_vectsp_2(U_7778,U_7779)
| ~ v6_rlvect_1(U_7778)
| ~ v5_rlvect_1(U_7778)
| ~ v4_rlvect_1(U_7778)
| ~ v3_rlvect_1(U_7778)
| v3_struct_0(U_7778) )
| ~ l3_vectsp_1(U_7779)
| ~ v8_vectsp_1(U_7779)
| ~ v7_vectsp_1(U_7779)
| ~ v6_vectsp_1(U_7779)
| ~ v4_group_1(U_7779)
| ~ v6_rlvect_1(U_7779)
| ~ v5_rlvect_1(U_7779)
| ~ v4_rlvect_1(U_7779)
| ~ v3_rlvect_1(U_7779)
| v3_struct_0(U_7779) ),
inference(variable_rename,[status(thm)],[f_3148_1]) ).
fof(f_3148_3,plain,
! [U_7779,U_7778,U_7777,U_7776] :
( v1_rmod_2(k5_subset_1(u1_struct_0(U_7778),U_7777,U_7776),U_7779,U_7778)
| ~ v1_rmod_2(U_7776,U_7779,U_7778)
| ~ v1_rmod_2(U_7777,U_7779,U_7778)
| ~ m1_subset_1(U_7776,k1_zfmisc_1(u1_struct_0(U_7778)))
| ~ m1_subset_1(U_7777,k1_zfmisc_1(u1_struct_0(U_7778)))
| ~ l1_vectsp_2(U_7778,U_7779)
| ~ v5_vectsp_2(U_7778,U_7779)
| ~ v6_rlvect_1(U_7778)
| ~ v5_rlvect_1(U_7778)
| ~ v4_rlvect_1(U_7778)
| ~ v3_rlvect_1(U_7778)
| v3_struct_0(U_7778)
| ~ l3_vectsp_1(U_7779)
| ~ v8_vectsp_1(U_7779)
| ~ v7_vectsp_1(U_7779)
| ~ v6_vectsp_1(U_7779)
| ~ v4_group_1(U_7779)
| ~ v6_rlvect_1(U_7779)
| ~ v5_rlvect_1(U_7779)
| ~ v4_rlvect_1(U_7779)
| ~ v3_rlvect_1(U_7779)
| v3_struct_0(U_7779) ),
inference(definitional_conversion,[status(esa)],[f_3148_2]) ).
cnf(f_3148_4,plain,
( v1_rmod_2(k5_subset_1(u1_struct_0(U_7778),U_7777,U_7776),U_7779,U_7778)
| ~ v1_rmod_2(U_7776,U_7779,U_7778)
| ~ v1_rmod_2(U_7777,U_7779,U_7778)
| ~ m1_subset_1(U_7776,k1_zfmisc_1(u1_struct_0(U_7778)))
| ~ m1_subset_1(U_7777,k1_zfmisc_1(u1_struct_0(U_7778)))
| ~ l1_vectsp_2(U_7778,U_7779)
| ~ v5_vectsp_2(U_7778,U_7779)
| ~ v6_rlvect_1(U_7778)
| ~ v5_rlvect_1(U_7778)
| ~ v4_rlvect_1(U_7778)
| ~ v3_rlvect_1(U_7778)
| v3_struct_0(U_7778)
| ~ l3_vectsp_1(U_7779)
| ~ v8_vectsp_1(U_7779)
| ~ v7_vectsp_1(U_7779)
| ~ v6_vectsp_1(U_7779)
| ~ v4_group_1(U_7779)
| ~ v6_rlvect_1(U_7779)
| ~ v5_rlvect_1(U_7779)
| ~ v4_rlvect_1(U_7779)
| ~ v3_rlvect_1(U_7779)
| v3_struct_0(U_7779) ),
inference(clausify,[status(thm)],[f_3148_3]) ).
fof(f_3149_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( m1_rmod_2(C,A,B)
| u1_vectsp_2(A,C) != k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))
| u1_rlvect_1(C) != k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))
| u2_struct_0(C) != u2_struct_0(B)
| ~ r1_tarski(u1_struct_0(C),u1_struct_0(B)) )
& ( ( u1_vectsp_2(A,C) = k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))
& u1_rlvect_1(C) = k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))
& u2_struct_0(C) = u2_struct_0(B)
& r1_tarski(u1_struct_0(C),u1_struct_0(B)) )
| ~ m1_rmod_2(C,A,B) ) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_rmod_2]) ).
fof(f_3149_2,plain,
! [U_7782] :
( ! [U_7781] :
( ! [U_7780] :
( ( ( m1_rmod_2(U_7780,U_7782,U_7781)
| u1_vectsp_2(U_7782,U_7780) != k7_relat_1(u1_vectsp_2(U_7782,U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7782)))
| u1_rlvect_1(U_7780) != k7_relat_1(u1_rlvect_1(U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7780)))
| u2_struct_0(U_7780) != u2_struct_0(U_7781)
| ~ r1_tarski(u1_struct_0(U_7780),u1_struct_0(U_7781)) )
& ( ( u1_vectsp_2(U_7782,U_7780) = k7_relat_1(u1_vectsp_2(U_7782,U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7782)))
& u1_rlvect_1(U_7780) = k7_relat_1(u1_rlvect_1(U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7780)))
& u2_struct_0(U_7780) = u2_struct_0(U_7781)
& r1_tarski(u1_struct_0(U_7780),u1_struct_0(U_7781)) )
| ~ m1_rmod_2(U_7780,U_7782,U_7781) ) )
| ~ l1_vectsp_2(U_7780,U_7782)
| ~ v5_vectsp_2(U_7780,U_7782)
| ~ v6_rlvect_1(U_7780)
| ~ v5_rlvect_1(U_7780)
| ~ v4_rlvect_1(U_7780)
| ~ v3_rlvect_1(U_7780)
| v3_struct_0(U_7780) )
| ~ l1_vectsp_2(U_7781,U_7782)
| ~ v5_vectsp_2(U_7781,U_7782)
| ~ v6_rlvect_1(U_7781)
| ~ v5_rlvect_1(U_7781)
| ~ v4_rlvect_1(U_7781)
| ~ v3_rlvect_1(U_7781)
| v3_struct_0(U_7781) )
| ~ l3_vectsp_1(U_7782)
| ~ v8_vectsp_1(U_7782)
| ~ v7_vectsp_1(U_7782)
| ~ v6_vectsp_1(U_7782)
| ~ v4_group_1(U_7782)
| ~ v6_rlvect_1(U_7782)
| ~ v5_rlvect_1(U_7782)
| ~ v4_rlvect_1(U_7782)
| ~ v3_rlvect_1(U_7782)
| v3_struct_0(U_7782) ),
inference(variable_rename,[status(thm)],[f_3149_1]) ).
fof(f_3149_3,plain,
( ! [U_7781,U_7782,U_7780] :
( u1_vectsp_2(U_7782,U_7780) = k7_relat_1(u1_vectsp_2(U_7782,U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7782)))
| ~ sP1405(U_7781,U_7782,U_7780) )
& ! [U_7781,U_7782,U_7780] :
( u1_rlvect_1(U_7780) = k7_relat_1(u1_rlvect_1(U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7780)))
| ~ sP1405(U_7781,U_7782,U_7780) )
& ! [U_7781,U_7782,U_7780] :
( u2_struct_0(U_7780) = u2_struct_0(U_7781)
| ~ sP1405(U_7781,U_7782,U_7780) )
& ! [U_7781,U_7782,U_7780] :
( r1_tarski(u1_struct_0(U_7780),u1_struct_0(U_7781))
| ~ sP1405(U_7781,U_7782,U_7780) )
& ! [U_7781,U_7782,U_7780] :
( m1_rmod_2(U_7780,U_7782,U_7781)
| u1_vectsp_2(U_7782,U_7780) != k7_relat_1(u1_vectsp_2(U_7782,U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7782)))
| u1_rlvect_1(U_7780) != k7_relat_1(u1_rlvect_1(U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7780)))
| u2_struct_0(U_7780) != u2_struct_0(U_7781)
| ~ r1_tarski(u1_struct_0(U_7780),u1_struct_0(U_7781))
| ~ sP1406(U_7781,U_7782,U_7780) )
& ! [U_7781,U_7782,U_7780] :
( sP1405(U_7781,U_7782,U_7780)
| ~ m1_rmod_2(U_7780,U_7782,U_7781)
| ~ sP1406(U_7781,U_7782,U_7780) )
& ! [U_7781,U_7782,U_7780] :
( sP1406(U_7781,U_7782,U_7780)
| ~ l1_vectsp_2(U_7780,U_7782)
| ~ v5_vectsp_2(U_7780,U_7782)
| ~ v6_rlvect_1(U_7780)
| ~ v5_rlvect_1(U_7780)
| ~ v4_rlvect_1(U_7780)
| ~ v3_rlvect_1(U_7780)
| v3_struct_0(U_7780)
| ~ l1_vectsp_2(U_7781,U_7782)
| ~ v5_vectsp_2(U_7781,U_7782)
| ~ v6_rlvect_1(U_7781)
| ~ v5_rlvect_1(U_7781)
| ~ v4_rlvect_1(U_7781)
| ~ v3_rlvect_1(U_7781)
| v3_struct_0(U_7781)
| ~ l3_vectsp_1(U_7782)
| ~ v8_vectsp_1(U_7782)
| ~ v7_vectsp_1(U_7782)
| ~ v6_vectsp_1(U_7782)
| ~ v4_group_1(U_7782)
| ~ v6_rlvect_1(U_7782)
| ~ v5_rlvect_1(U_7782)
| ~ v4_rlvect_1(U_7782)
| ~ v3_rlvect_1(U_7782)
| v3_struct_0(U_7782) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1405,sP1406])],[f_3149_2]) ).
cnf(f_3149_4,plain,
( sP1406(U_7781,U_7782,U_7780)
| ~ l1_vectsp_2(U_7780,U_7782)
| ~ v5_vectsp_2(U_7780,U_7782)
| ~ v6_rlvect_1(U_7780)
| ~ v5_rlvect_1(U_7780)
| ~ v4_rlvect_1(U_7780)
| ~ v3_rlvect_1(U_7780)
| v3_struct_0(U_7780)
| ~ l1_vectsp_2(U_7781,U_7782)
| ~ v5_vectsp_2(U_7781,U_7782)
| ~ v6_rlvect_1(U_7781)
| ~ v5_rlvect_1(U_7781)
| ~ v4_rlvect_1(U_7781)
| ~ v3_rlvect_1(U_7781)
| v3_struct_0(U_7781)
| ~ l3_vectsp_1(U_7782)
| ~ v8_vectsp_1(U_7782)
| ~ v7_vectsp_1(U_7782)
| ~ v6_vectsp_1(U_7782)
| ~ v4_group_1(U_7782)
| ~ v6_rlvect_1(U_7782)
| ~ v5_rlvect_1(U_7782)
| ~ v4_rlvect_1(U_7782)
| ~ v3_rlvect_1(U_7782)
| v3_struct_0(U_7782) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
cnf(f_3149_5,plain,
( sP1405(U_7781,U_7782,U_7780)
| ~ m1_rmod_2(U_7780,U_7782,U_7781)
| ~ sP1406(U_7781,U_7782,U_7780) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
cnf(f_3149_6,plain,
( m1_rmod_2(U_7780,U_7782,U_7781)
| u1_vectsp_2(U_7782,U_7780) != k7_relat_1(u1_vectsp_2(U_7782,U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7782)))
| u1_rlvect_1(U_7780) != k7_relat_1(u1_rlvect_1(U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7780)))
| u2_struct_0(U_7780) != u2_struct_0(U_7781)
| ~ r1_tarski(u1_struct_0(U_7780),u1_struct_0(U_7781))
| ~ sP1406(U_7781,U_7782,U_7780) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
cnf(f_3149_7,plain,
( r1_tarski(u1_struct_0(U_7780),u1_struct_0(U_7781))
| ~ sP1405(U_7781,U_7782,U_7780) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
cnf(f_3149_8,plain,
( u2_struct_0(U_7780) = u2_struct_0(U_7781)
| ~ sP1405(U_7781,U_7782,U_7780) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
cnf(f_3149_9,plain,
( u1_rlvect_1(U_7780) = k7_relat_1(u1_rlvect_1(U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7780)))
| ~ sP1405(U_7781,U_7782,U_7780) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
cnf(f_3149_10,plain,
( u1_vectsp_2(U_7782,U_7780) = k7_relat_1(u1_vectsp_2(U_7782,U_7781),k2_zfmisc_1(u1_struct_0(U_7780),u1_struct_0(U_7782)))
| ~ sP1405(U_7781,U_7782,U_7780) ),
inference(clausify,[status(thm)],[f_3149_3]) ).
fof(f_3150_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t11_rmod_2]) ).
fof(f_3150_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3150_1]) ).
cnf(f_3150_3,plain,
$true,
inference(clausify,[status(thm)],[f_3150_2]) ).
fof(f_3151_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t12_rmod_2]) ).
fof(f_3151_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3151_1]) ).
cnf(f_3151_3,plain,
$true,
inference(clausify,[status(thm)],[f_3151_2]) ).
fof(f_3152_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t13_rmod_2]) ).
fof(f_3152_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3152_1]) ).
cnf(f_3152_3,plain,
$true,
inference(clausify,[status(thm)],[f_3152_2]) ).
fof(f_3153_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t14_rmod_2]) ).
fof(f_3153_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3153_1]) ).
cnf(f_3153_3,plain,
$true,
inference(clausify,[status(thm)],[f_3153_2]) ).
fof(f_3154_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t15_rmod_2]) ).
fof(f_3154_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3154_1]) ).
cnf(f_3154_3,plain,
$true,
inference(clausify,[status(thm)],[f_3154_2]) ).
fof(f_3155_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rlvect_1(E,A)
| ~ m1_rmod_2(D,B,E)
| ~ r1_rlvect_1(D,A)
| ~ m1_rmod_2(E,B,C) )
| ~ m1_rmod_2(D,B,C) )
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[t16_rmod_2]) ).
fof(f_3155_2,plain,
! [U_7787,U_7786] :
( ! [U_7785] :
( ! [U_7784] :
( ! [U_7783] :
( r1_rlvect_1(U_7783,U_7787)
| ~ m1_rmod_2(U_7784,U_7786,U_7783)
| ~ r1_rlvect_1(U_7784,U_7787)
| ~ m1_rmod_2(U_7783,U_7786,U_7785) )
| ~ m1_rmod_2(U_7784,U_7786,U_7785) )
| ~ l1_vectsp_2(U_7785,U_7786)
| ~ v5_vectsp_2(U_7785,U_7786)
| ~ v6_rlvect_1(U_7785)
| ~ v5_rlvect_1(U_7785)
| ~ v4_rlvect_1(U_7785)
| ~ v3_rlvect_1(U_7785)
| v3_struct_0(U_7785) )
| ~ l3_vectsp_1(U_7786)
| ~ v8_vectsp_1(U_7786)
| ~ v7_vectsp_1(U_7786)
| ~ v6_vectsp_1(U_7786)
| ~ v4_group_1(U_7786)
| ~ v6_rlvect_1(U_7786)
| ~ v5_rlvect_1(U_7786)
| ~ v4_rlvect_1(U_7786)
| ~ v3_rlvect_1(U_7786)
| v3_struct_0(U_7786) ),
inference(variable_rename,[status(thm)],[f_3155_1]) ).
fof(f_3155_3,plain,
! [U_7786,U_7785,U_7783,U_7787,U_7784] :
( r1_rlvect_1(U_7783,U_7787)
| ~ m1_rmod_2(U_7784,U_7786,U_7783)
| ~ r1_rlvect_1(U_7784,U_7787)
| ~ m1_rmod_2(U_7783,U_7786,U_7785)
| ~ m1_rmod_2(U_7784,U_7786,U_7785)
| ~ l1_vectsp_2(U_7785,U_7786)
| ~ v5_vectsp_2(U_7785,U_7786)
| ~ v6_rlvect_1(U_7785)
| ~ v5_rlvect_1(U_7785)
| ~ v4_rlvect_1(U_7785)
| ~ v3_rlvect_1(U_7785)
| v3_struct_0(U_7785)
| ~ l3_vectsp_1(U_7786)
| ~ v8_vectsp_1(U_7786)
| ~ v7_vectsp_1(U_7786)
| ~ v6_vectsp_1(U_7786)
| ~ v4_group_1(U_7786)
| ~ v6_rlvect_1(U_7786)
| ~ v5_rlvect_1(U_7786)
| ~ v4_rlvect_1(U_7786)
| ~ v3_rlvect_1(U_7786)
| v3_struct_0(U_7786) ),
inference(definitional_conversion,[status(esa)],[f_3155_2]) ).
cnf(f_3155_4,plain,
( r1_rlvect_1(U_7783,U_7787)
| ~ m1_rmod_2(U_7784,U_7786,U_7783)
| ~ r1_rlvect_1(U_7784,U_7787)
| ~ m1_rmod_2(U_7783,U_7786,U_7785)
| ~ m1_rmod_2(U_7784,U_7786,U_7785)
| ~ l1_vectsp_2(U_7785,U_7786)
| ~ v5_vectsp_2(U_7785,U_7786)
| ~ v6_rlvect_1(U_7785)
| ~ v5_rlvect_1(U_7785)
| ~ v4_rlvect_1(U_7785)
| ~ v3_rlvect_1(U_7785)
| v3_struct_0(U_7785)
| ~ l3_vectsp_1(U_7786)
| ~ v8_vectsp_1(U_7786)
| ~ v7_vectsp_1(U_7786)
| ~ v6_vectsp_1(U_7786)
| ~ v4_group_1(U_7786)
| ~ v6_rlvect_1(U_7786)
| ~ v5_rlvect_1(U_7786)
| ~ v4_rlvect_1(U_7786)
| ~ v3_rlvect_1(U_7786)
| v3_struct_0(U_7786) ),
inference(clausify,[status(thm)],[f_3155_3]) ).
fof(f_3156_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(C,A)
| ~ r1_rlvect_1(D,A)
| ~ m1_rmod_2(D,B,C) )
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[t17_rmod_2]) ).
fof(f_3156_2,plain,
! [U_7791,U_7790] :
( ! [U_7789] :
( ! [U_7788] :
( r1_rlvect_1(U_7789,U_7791)
| ~ r1_rlvect_1(U_7788,U_7791)
| ~ m1_rmod_2(U_7788,U_7790,U_7789) )
| ~ l1_vectsp_2(U_7789,U_7790)
| ~ v5_vectsp_2(U_7789,U_7790)
| ~ v6_rlvect_1(U_7789)
| ~ v5_rlvect_1(U_7789)
| ~ v4_rlvect_1(U_7789)
| ~ v3_rlvect_1(U_7789)
| v3_struct_0(U_7789) )
| ~ l3_vectsp_1(U_7790)
| ~ v8_vectsp_1(U_7790)
| ~ v7_vectsp_1(U_7790)
| ~ v6_vectsp_1(U_7790)
| ~ v4_group_1(U_7790)
| ~ v6_rlvect_1(U_7790)
| ~ v5_rlvect_1(U_7790)
| ~ v4_rlvect_1(U_7790)
| ~ v3_rlvect_1(U_7790)
| v3_struct_0(U_7790) ),
inference(variable_rename,[status(thm)],[f_3156_1]) ).
fof(f_3156_3,plain,
! [U_7791,U_7790,U_7788,U_7789] :
( r1_rlvect_1(U_7789,U_7791)
| ~ r1_rlvect_1(U_7788,U_7791)
| ~ m1_rmod_2(U_7788,U_7790,U_7789)
| ~ l1_vectsp_2(U_7789,U_7790)
| ~ v5_vectsp_2(U_7789,U_7790)
| ~ v6_rlvect_1(U_7789)
| ~ v5_rlvect_1(U_7789)
| ~ v4_rlvect_1(U_7789)
| ~ v3_rlvect_1(U_7789)
| v3_struct_0(U_7789)
| ~ l3_vectsp_1(U_7790)
| ~ v8_vectsp_1(U_7790)
| ~ v7_vectsp_1(U_7790)
| ~ v6_vectsp_1(U_7790)
| ~ v4_group_1(U_7790)
| ~ v6_rlvect_1(U_7790)
| ~ v5_rlvect_1(U_7790)
| ~ v4_rlvect_1(U_7790)
| ~ v3_rlvect_1(U_7790)
| v3_struct_0(U_7790) ),
inference(definitional_conversion,[status(esa)],[f_3156_2]) ).
cnf(f_3156_4,plain,
( r1_rlvect_1(U_7789,U_7791)
| ~ r1_rlvect_1(U_7788,U_7791)
| ~ m1_rmod_2(U_7788,U_7790,U_7789)
| ~ l1_vectsp_2(U_7789,U_7790)
| ~ v5_vectsp_2(U_7789,U_7790)
| ~ v6_rlvect_1(U_7789)
| ~ v5_rlvect_1(U_7789)
| ~ v4_rlvect_1(U_7789)
| ~ v3_rlvect_1(U_7789)
| v3_struct_0(U_7789)
| ~ l3_vectsp_1(U_7790)
| ~ v8_vectsp_1(U_7790)
| ~ v7_vectsp_1(U_7790)
| ~ v6_vectsp_1(U_7790)
| ~ v4_group_1(U_7790)
| ~ v6_rlvect_1(U_7790)
| ~ v5_rlvect_1(U_7790)
| ~ v4_rlvect_1(U_7790)
| ~ v3_rlvect_1(U_7790)
| v3_struct_0(U_7790) ),
inference(clausify,[status(thm)],[f_3156_3]) ).
fof(f_3157_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t18_rmod_2]) ).
fof(f_3157_2,plain,
! [U_7795] :
( ! [U_7794] :
( ! [U_7793] :
( ! [U_7792] :
( m1_subset_1(U_7792,u1_struct_0(U_7794))
| ~ m1_subset_1(U_7792,u1_struct_0(U_7793)) )
| ~ m1_rmod_2(U_7793,U_7795,U_7794) )
| ~ l1_vectsp_2(U_7794,U_7795)
| ~ v5_vectsp_2(U_7794,U_7795)
| ~ v6_rlvect_1(U_7794)
| ~ v5_rlvect_1(U_7794)
| ~ v4_rlvect_1(U_7794)
| ~ v3_rlvect_1(U_7794)
| v3_struct_0(U_7794) )
| ~ l3_vectsp_1(U_7795)
| ~ v8_vectsp_1(U_7795)
| ~ v7_vectsp_1(U_7795)
| ~ v6_vectsp_1(U_7795)
| ~ v4_group_1(U_7795)
| ~ v6_rlvect_1(U_7795)
| ~ v5_rlvect_1(U_7795)
| ~ v4_rlvect_1(U_7795)
| ~ v3_rlvect_1(U_7795)
| v3_struct_0(U_7795) ),
inference(variable_rename,[status(thm)],[f_3157_1]) ).
fof(f_3157_3,plain,
! [U_7794,U_7793,U_7792,U_7795] :
( m1_subset_1(U_7792,u1_struct_0(U_7794))
| ~ m1_subset_1(U_7792,u1_struct_0(U_7793))
| ~ m1_rmod_2(U_7793,U_7795,U_7794)
| ~ l1_vectsp_2(U_7794,U_7795)
| ~ v5_vectsp_2(U_7794,U_7795)
| ~ v6_rlvect_1(U_7794)
| ~ v5_rlvect_1(U_7794)
| ~ v4_rlvect_1(U_7794)
| ~ v3_rlvect_1(U_7794)
| v3_struct_0(U_7794)
| ~ l3_vectsp_1(U_7795)
| ~ v8_vectsp_1(U_7795)
| ~ v7_vectsp_1(U_7795)
| ~ v6_vectsp_1(U_7795)
| ~ v4_group_1(U_7795)
| ~ v6_rlvect_1(U_7795)
| ~ v5_rlvect_1(U_7795)
| ~ v4_rlvect_1(U_7795)
| ~ v3_rlvect_1(U_7795)
| v3_struct_0(U_7795) ),
inference(definitional_conversion,[status(esa)],[f_3157_2]) ).
cnf(f_3157_4,plain,
( m1_subset_1(U_7792,u1_struct_0(U_7794))
| ~ m1_subset_1(U_7792,u1_struct_0(U_7793))
| ~ m1_rmod_2(U_7793,U_7795,U_7794)
| ~ l1_vectsp_2(U_7794,U_7795)
| ~ v5_vectsp_2(U_7794,U_7795)
| ~ v6_rlvect_1(U_7794)
| ~ v5_rlvect_1(U_7794)
| ~ v4_rlvect_1(U_7794)
| ~ v3_rlvect_1(U_7794)
| v3_struct_0(U_7794)
| ~ l3_vectsp_1(U_7795)
| ~ v8_vectsp_1(U_7795)
| ~ v7_vectsp_1(U_7795)
| ~ v6_vectsp_1(U_7795)
| ~ v4_group_1(U_7795)
| ~ v6_rlvect_1(U_7795)
| ~ v5_rlvect_1(U_7795)
| ~ v4_rlvect_1(U_7795)
| ~ v3_rlvect_1(U_7795)
| v3_struct_0(U_7795) ),
inference(clausify,[status(thm)],[f_3157_3]) ).
fof(f_3158_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_rlvect_1(C) = k1_rlvect_1(B)
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_rmod_2]) ).
fof(f_3158_2,plain,
! [U_7798] :
( ! [U_7797] :
( ! [U_7796] :
( k1_rlvect_1(U_7796) = k1_rlvect_1(U_7797)
| ~ m1_rmod_2(U_7796,U_7798,U_7797) )
| ~ l1_vectsp_2(U_7797,U_7798)
| ~ v5_vectsp_2(U_7797,U_7798)
| ~ v6_rlvect_1(U_7797)
| ~ v5_rlvect_1(U_7797)
| ~ v4_rlvect_1(U_7797)
| ~ v3_rlvect_1(U_7797)
| v3_struct_0(U_7797) )
| ~ l3_vectsp_1(U_7798)
| ~ v8_vectsp_1(U_7798)
| ~ v7_vectsp_1(U_7798)
| ~ v6_vectsp_1(U_7798)
| ~ v4_group_1(U_7798)
| ~ v6_rlvect_1(U_7798)
| ~ v5_rlvect_1(U_7798)
| ~ v4_rlvect_1(U_7798)
| ~ v3_rlvect_1(U_7798)
| v3_struct_0(U_7798) ),
inference(variable_rename,[status(thm)],[f_3158_1]) ).
fof(f_3158_3,plain,
! [U_7797,U_7798,U_7796] :
( k1_rlvect_1(U_7796) = k1_rlvect_1(U_7797)
| ~ m1_rmod_2(U_7796,U_7798,U_7797)
| ~ l1_vectsp_2(U_7797,U_7798)
| ~ v5_vectsp_2(U_7797,U_7798)
| ~ v6_rlvect_1(U_7797)
| ~ v5_rlvect_1(U_7797)
| ~ v4_rlvect_1(U_7797)
| ~ v3_rlvect_1(U_7797)
| v3_struct_0(U_7797)
| ~ l3_vectsp_1(U_7798)
| ~ v8_vectsp_1(U_7798)
| ~ v7_vectsp_1(U_7798)
| ~ v6_vectsp_1(U_7798)
| ~ v4_group_1(U_7798)
| ~ v6_rlvect_1(U_7798)
| ~ v5_rlvect_1(U_7798)
| ~ v4_rlvect_1(U_7798)
| ~ v3_rlvect_1(U_7798)
| v3_struct_0(U_7798) ),
inference(definitional_conversion,[status(esa)],[f_3158_2]) ).
cnf(f_3158_4,plain,
( k1_rlvect_1(U_7796) = k1_rlvect_1(U_7797)
| ~ m1_rmod_2(U_7796,U_7798,U_7797)
| ~ l1_vectsp_2(U_7797,U_7798)
| ~ v5_vectsp_2(U_7797,U_7798)
| ~ v6_rlvect_1(U_7797)
| ~ v5_rlvect_1(U_7797)
| ~ v4_rlvect_1(U_7797)
| ~ v3_rlvect_1(U_7797)
| v3_struct_0(U_7797)
| ~ l3_vectsp_1(U_7798)
| ~ v8_vectsp_1(U_7798)
| ~ v7_vectsp_1(U_7798)
| ~ v6_vectsp_1(U_7798)
| ~ v4_group_1(U_7798)
| ~ v6_rlvect_1(U_7798)
| ~ v5_rlvect_1(U_7798)
| ~ v4_rlvect_1(U_7798)
| ~ v3_rlvect_1(U_7798)
| v3_struct_0(U_7798) ),
inference(clausify,[status(thm)],[f_3158_3]) ).
fof(f_3159_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rlvect_1(C) = k1_rlvect_1(D)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_rmod_2]) ).
fof(f_3159_2,plain,
! [U_7802] :
( ! [U_7801] :
( ! [U_7800] :
( ! [U_7799] :
( k1_rlvect_1(U_7800) = k1_rlvect_1(U_7799)
| ~ m1_rmod_2(U_7799,U_7802,U_7801) )
| ~ m1_rmod_2(U_7800,U_7802,U_7801) )
| ~ l1_vectsp_2(U_7801,U_7802)
| ~ v5_vectsp_2(U_7801,U_7802)
| ~ v6_rlvect_1(U_7801)
| ~ v5_rlvect_1(U_7801)
| ~ v4_rlvect_1(U_7801)
| ~ v3_rlvect_1(U_7801)
| v3_struct_0(U_7801) )
| ~ l3_vectsp_1(U_7802)
| ~ v8_vectsp_1(U_7802)
| ~ v7_vectsp_1(U_7802)
| ~ v6_vectsp_1(U_7802)
| ~ v4_group_1(U_7802)
| ~ v6_rlvect_1(U_7802)
| ~ v5_rlvect_1(U_7802)
| ~ v4_rlvect_1(U_7802)
| ~ v3_rlvect_1(U_7802)
| v3_struct_0(U_7802) ),
inference(variable_rename,[status(thm)],[f_3159_1]) ).
fof(f_3159_3,plain,
! [U_7801,U_7802,U_7800,U_7799] :
( k1_rlvect_1(U_7800) = k1_rlvect_1(U_7799)
| ~ m1_rmod_2(U_7799,U_7802,U_7801)
| ~ m1_rmod_2(U_7800,U_7802,U_7801)
| ~ l1_vectsp_2(U_7801,U_7802)
| ~ v5_vectsp_2(U_7801,U_7802)
| ~ v6_rlvect_1(U_7801)
| ~ v5_rlvect_1(U_7801)
| ~ v4_rlvect_1(U_7801)
| ~ v3_rlvect_1(U_7801)
| v3_struct_0(U_7801)
| ~ l3_vectsp_1(U_7802)
| ~ v8_vectsp_1(U_7802)
| ~ v7_vectsp_1(U_7802)
| ~ v6_vectsp_1(U_7802)
| ~ v4_group_1(U_7802)
| ~ v6_rlvect_1(U_7802)
| ~ v5_rlvect_1(U_7802)
| ~ v4_rlvect_1(U_7802)
| ~ v3_rlvect_1(U_7802)
| v3_struct_0(U_7802) ),
inference(definitional_conversion,[status(esa)],[f_3159_2]) ).
cnf(f_3159_4,plain,
( k1_rlvect_1(U_7800) = k1_rlvect_1(U_7799)
| ~ m1_rmod_2(U_7799,U_7802,U_7801)
| ~ m1_rmod_2(U_7800,U_7802,U_7801)
| ~ l1_vectsp_2(U_7801,U_7802)
| ~ v5_vectsp_2(U_7801,U_7802)
| ~ v6_rlvect_1(U_7801)
| ~ v5_rlvect_1(U_7801)
| ~ v4_rlvect_1(U_7801)
| ~ v3_rlvect_1(U_7801)
| v3_struct_0(U_7801)
| ~ l3_vectsp_1(U_7802)
| ~ v8_vectsp_1(U_7802)
| ~ v7_vectsp_1(U_7802)
| ~ v6_vectsp_1(U_7802)
| ~ v4_group_1(U_7802)
| ~ v6_rlvect_1(U_7802)
| ~ v5_rlvect_1(U_7802)
| ~ v4_rlvect_1(U_7802)
| ~ v3_rlvect_1(U_7802)
| v3_struct_0(U_7802) ),
inference(clausify,[status(thm)],[f_3159_3]) ).
fof(f_3160_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D)
| G != D
| F != C
| ~ m1_subset_1(G,u1_struct_0(E)) )
| ~ m1_subset_1(F,u1_struct_0(E)) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t21_rmod_2]) ).
fof(f_3160_2,plain,
! [U_7809] :
( ! [U_7808] :
( ! [U_7807] :
( ! [U_7806] :
( ! [U_7805] :
( ! [U_7804] :
( ! [U_7803] :
( k4_rlvect_1(U_7805,U_7804,U_7803) = k4_rlvect_1(U_7808,U_7807,U_7806)
| U_7803 != U_7806
| U_7804 != U_7807
| ~ m1_subset_1(U_7803,u1_struct_0(U_7805)) )
| ~ m1_subset_1(U_7804,u1_struct_0(U_7805)) )
| ~ m1_rmod_2(U_7805,U_7809,U_7808) )
| ~ m1_subset_1(U_7806,u1_struct_0(U_7808)) )
| ~ m1_subset_1(U_7807,u1_struct_0(U_7808)) )
| ~ l1_vectsp_2(U_7808,U_7809)
| ~ v5_vectsp_2(U_7808,U_7809)
| ~ v6_rlvect_1(U_7808)
| ~ v5_rlvect_1(U_7808)
| ~ v4_rlvect_1(U_7808)
| ~ v3_rlvect_1(U_7808)
| v3_struct_0(U_7808) )
| ~ l3_vectsp_1(U_7809)
| ~ v8_vectsp_1(U_7809)
| ~ v7_vectsp_1(U_7809)
| ~ v6_vectsp_1(U_7809)
| ~ v4_group_1(U_7809)
| ~ v6_rlvect_1(U_7809)
| ~ v5_rlvect_1(U_7809)
| ~ v4_rlvect_1(U_7809)
| ~ v3_rlvect_1(U_7809)
| v3_struct_0(U_7809) ),
inference(variable_rename,[status(thm)],[f_3160_1]) ).
fof(f_3160_3,plain,
! [U_7809,U_7806,U_7807,U_7805,U_7804,U_7803,U_7808] :
( k4_rlvect_1(U_7805,U_7804,U_7803) = k4_rlvect_1(U_7808,U_7807,U_7806)
| U_7803 != U_7806
| U_7804 != U_7807
| ~ m1_subset_1(U_7803,u1_struct_0(U_7805))
| ~ m1_subset_1(U_7804,u1_struct_0(U_7805))
| ~ m1_rmod_2(U_7805,U_7809,U_7808)
| ~ m1_subset_1(U_7806,u1_struct_0(U_7808))
| ~ m1_subset_1(U_7807,u1_struct_0(U_7808))
| ~ l1_vectsp_2(U_7808,U_7809)
| ~ v5_vectsp_2(U_7808,U_7809)
| ~ v6_rlvect_1(U_7808)
| ~ v5_rlvect_1(U_7808)
| ~ v4_rlvect_1(U_7808)
| ~ v3_rlvect_1(U_7808)
| v3_struct_0(U_7808)
| ~ l3_vectsp_1(U_7809)
| ~ v8_vectsp_1(U_7809)
| ~ v7_vectsp_1(U_7809)
| ~ v6_vectsp_1(U_7809)
| ~ v4_group_1(U_7809)
| ~ v6_rlvect_1(U_7809)
| ~ v5_rlvect_1(U_7809)
| ~ v4_rlvect_1(U_7809)
| ~ v3_rlvect_1(U_7809)
| v3_struct_0(U_7809) ),
inference(definitional_conversion,[status(esa)],[f_3160_2]) ).
cnf(f_3160_4,plain,
( k4_rlvect_1(U_7805,U_7804,U_7803) = k4_rlvect_1(U_7808,U_7807,U_7806)
| U_7803 != U_7806
| U_7804 != U_7807
| ~ m1_subset_1(U_7803,u1_struct_0(U_7805))
| ~ m1_subset_1(U_7804,u1_struct_0(U_7805))
| ~ m1_rmod_2(U_7805,U_7809,U_7808)
| ~ m1_subset_1(U_7806,u1_struct_0(U_7808))
| ~ m1_subset_1(U_7807,u1_struct_0(U_7808))
| ~ l1_vectsp_2(U_7808,U_7809)
| ~ v5_vectsp_2(U_7808,U_7809)
| ~ v6_rlvect_1(U_7808)
| ~ v5_rlvect_1(U_7808)
| ~ v4_rlvect_1(U_7808)
| ~ v3_rlvect_1(U_7808)
| v3_struct_0(U_7808)
| ~ l3_vectsp_1(U_7809)
| ~ v8_vectsp_1(U_7809)
| ~ v7_vectsp_1(U_7809)
| ~ v6_vectsp_1(U_7809)
| ~ v4_group_1(U_7809)
| ~ v6_rlvect_1(U_7809)
| ~ v5_rlvect_1(U_7809)
| ~ v4_rlvect_1(U_7809)
| ~ v3_rlvect_1(U_7809)
| v3_struct_0(U_7809) ),
inference(clausify,[status(thm)],[f_3160_3]) ).
fof(f_3161_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k6_vectsp_2(A,E,B,F) = k6_vectsp_2(A,C,B,D)
| F != D
| ~ m1_subset_1(F,u1_struct_0(E)) )
| ~ m1_rmod_2(E,A,C) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_rmod_2]) ).
fof(f_3161_2,plain,
! [U_7815] :
( ! [U_7814] :
( ! [U_7813] :
( ! [U_7812] :
( ! [U_7811] :
( ! [U_7810] :
( k6_vectsp_2(U_7815,U_7811,U_7814,U_7810) = k6_vectsp_2(U_7815,U_7813,U_7814,U_7812)
| U_7810 != U_7812
| ~ m1_subset_1(U_7810,u1_struct_0(U_7811)) )
| ~ m1_rmod_2(U_7811,U_7815,U_7813) )
| ~ m1_subset_1(U_7812,u1_struct_0(U_7813)) )
| ~ l1_vectsp_2(U_7813,U_7815)
| ~ v5_vectsp_2(U_7813,U_7815)
| ~ v6_rlvect_1(U_7813)
| ~ v5_rlvect_1(U_7813)
| ~ v4_rlvect_1(U_7813)
| ~ v3_rlvect_1(U_7813)
| v3_struct_0(U_7813) )
| ~ m1_subset_1(U_7814,u1_struct_0(U_7815)) )
| ~ l3_vectsp_1(U_7815)
| ~ v8_vectsp_1(U_7815)
| ~ v7_vectsp_1(U_7815)
| ~ v6_vectsp_1(U_7815)
| ~ v4_group_1(U_7815)
| ~ v6_rlvect_1(U_7815)
| ~ v5_rlvect_1(U_7815)
| ~ v4_rlvect_1(U_7815)
| ~ v3_rlvect_1(U_7815)
| v3_struct_0(U_7815) ),
inference(variable_rename,[status(thm)],[f_3161_1]) ).
fof(f_3161_3,plain,
! [U_7815,U_7814,U_7811,U_7812,U_7810,U_7813] :
( k6_vectsp_2(U_7815,U_7811,U_7814,U_7810) = k6_vectsp_2(U_7815,U_7813,U_7814,U_7812)
| U_7810 != U_7812
| ~ m1_subset_1(U_7810,u1_struct_0(U_7811))
| ~ m1_rmod_2(U_7811,U_7815,U_7813)
| ~ m1_subset_1(U_7812,u1_struct_0(U_7813))
| ~ l1_vectsp_2(U_7813,U_7815)
| ~ v5_vectsp_2(U_7813,U_7815)
| ~ v6_rlvect_1(U_7813)
| ~ v5_rlvect_1(U_7813)
| ~ v4_rlvect_1(U_7813)
| ~ v3_rlvect_1(U_7813)
| v3_struct_0(U_7813)
| ~ m1_subset_1(U_7814,u1_struct_0(U_7815))
| ~ l3_vectsp_1(U_7815)
| ~ v8_vectsp_1(U_7815)
| ~ v7_vectsp_1(U_7815)
| ~ v6_vectsp_1(U_7815)
| ~ v4_group_1(U_7815)
| ~ v6_rlvect_1(U_7815)
| ~ v5_rlvect_1(U_7815)
| ~ v4_rlvect_1(U_7815)
| ~ v3_rlvect_1(U_7815)
| v3_struct_0(U_7815) ),
inference(definitional_conversion,[status(esa)],[f_3161_2]) ).
cnf(f_3161_4,plain,
( k6_vectsp_2(U_7815,U_7811,U_7814,U_7810) = k6_vectsp_2(U_7815,U_7813,U_7814,U_7812)
| U_7810 != U_7812
| ~ m1_subset_1(U_7810,u1_struct_0(U_7811))
| ~ m1_rmod_2(U_7811,U_7815,U_7813)
| ~ m1_subset_1(U_7812,u1_struct_0(U_7813))
| ~ l1_vectsp_2(U_7813,U_7815)
| ~ v5_vectsp_2(U_7813,U_7815)
| ~ v6_rlvect_1(U_7813)
| ~ v5_rlvect_1(U_7813)
| ~ v4_rlvect_1(U_7813)
| ~ v3_rlvect_1(U_7813)
| v3_struct_0(U_7813)
| ~ m1_subset_1(U_7814,u1_struct_0(U_7815))
| ~ l3_vectsp_1(U_7815)
| ~ v8_vectsp_1(U_7815)
| ~ v7_vectsp_1(U_7815)
| ~ v6_vectsp_1(U_7815)
| ~ v4_group_1(U_7815)
| ~ v6_rlvect_1(U_7815)
| ~ v5_rlvect_1(U_7815)
| ~ v4_rlvect_1(U_7815)
| ~ v3_rlvect_1(U_7815)
| v3_struct_0(U_7815) ),
inference(clausify,[status(thm)],[f_3161_3]) ).
fof(f_3162_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k5_rlvect_1(B,C) = k5_rlvect_1(D,E)
| E != C
| ~ m1_subset_1(E,u1_struct_0(D)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t23_rmod_2]) ).
fof(f_3162_2,plain,
! [U_7820] :
( ! [U_7819] :
( ! [U_7818] :
( ! [U_7817] :
( ! [U_7816] :
( k5_rlvect_1(U_7819,U_7818) = k5_rlvect_1(U_7817,U_7816)
| U_7816 != U_7818
| ~ m1_subset_1(U_7816,u1_struct_0(U_7817)) )
| ~ m1_rmod_2(U_7817,U_7820,U_7819) )
| ~ m1_subset_1(U_7818,u1_struct_0(U_7819)) )
| ~ l1_vectsp_2(U_7819,U_7820)
| ~ v5_vectsp_2(U_7819,U_7820)
| ~ v6_rlvect_1(U_7819)
| ~ v5_rlvect_1(U_7819)
| ~ v4_rlvect_1(U_7819)
| ~ v3_rlvect_1(U_7819)
| v3_struct_0(U_7819) )
| ~ l3_vectsp_1(U_7820)
| ~ v8_vectsp_1(U_7820)
| ~ v7_vectsp_1(U_7820)
| ~ v6_vectsp_1(U_7820)
| ~ v4_group_1(U_7820)
| ~ v6_rlvect_1(U_7820)
| ~ v5_rlvect_1(U_7820)
| ~ v4_rlvect_1(U_7820)
| ~ v3_rlvect_1(U_7820)
| v3_struct_0(U_7820) ),
inference(variable_rename,[status(thm)],[f_3162_1]) ).
fof(f_3162_3,plain,
! [U_7819,U_7818,U_7820,U_7816,U_7817] :
( k5_rlvect_1(U_7819,U_7818) = k5_rlvect_1(U_7817,U_7816)
| U_7816 != U_7818
| ~ m1_subset_1(U_7816,u1_struct_0(U_7817))
| ~ m1_rmod_2(U_7817,U_7820,U_7819)
| ~ m1_subset_1(U_7818,u1_struct_0(U_7819))
| ~ l1_vectsp_2(U_7819,U_7820)
| ~ v5_vectsp_2(U_7819,U_7820)
| ~ v6_rlvect_1(U_7819)
| ~ v5_rlvect_1(U_7819)
| ~ v4_rlvect_1(U_7819)
| ~ v3_rlvect_1(U_7819)
| v3_struct_0(U_7819)
| ~ l3_vectsp_1(U_7820)
| ~ v8_vectsp_1(U_7820)
| ~ v7_vectsp_1(U_7820)
| ~ v6_vectsp_1(U_7820)
| ~ v4_group_1(U_7820)
| ~ v6_rlvect_1(U_7820)
| ~ v5_rlvect_1(U_7820)
| ~ v4_rlvect_1(U_7820)
| ~ v3_rlvect_1(U_7820)
| v3_struct_0(U_7820) ),
inference(definitional_conversion,[status(esa)],[f_3162_2]) ).
cnf(f_3162_4,plain,
( k5_rlvect_1(U_7819,U_7818) = k5_rlvect_1(U_7817,U_7816)
| U_7816 != U_7818
| ~ m1_subset_1(U_7816,u1_struct_0(U_7817))
| ~ m1_rmod_2(U_7817,U_7820,U_7819)
| ~ m1_subset_1(U_7818,u1_struct_0(U_7819))
| ~ l1_vectsp_2(U_7819,U_7820)
| ~ v5_vectsp_2(U_7819,U_7820)
| ~ v6_rlvect_1(U_7819)
| ~ v5_rlvect_1(U_7819)
| ~ v4_rlvect_1(U_7819)
| ~ v3_rlvect_1(U_7819)
| v3_struct_0(U_7819)
| ~ l3_vectsp_1(U_7820)
| ~ v8_vectsp_1(U_7820)
| ~ v7_vectsp_1(U_7820)
| ~ v6_vectsp_1(U_7820)
| ~ v4_group_1(U_7820)
| ~ v6_rlvect_1(U_7820)
| ~ v5_rlvect_1(U_7820)
| ~ v4_rlvect_1(U_7820)
| ~ v3_rlvect_1(U_7820)
| v3_struct_0(U_7820) ),
inference(clausify,[status(thm)],[f_3162_3]) ).
fof(f_3163_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)
| G != D
| F != C
| ~ m1_subset_1(G,u1_struct_0(E)) )
| ~ m1_subset_1(F,u1_struct_0(E)) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t24_rmod_2]) ).
fof(f_3163_2,plain,
! [U_7827] :
( ! [U_7826] :
( ! [U_7825] :
( ! [U_7824] :
( ! [U_7823] :
( ! [U_7822] :
( ! [U_7821] :
( k6_rlvect_1(U_7823,U_7822,U_7821) = k6_rlvect_1(U_7826,U_7825,U_7824)
| U_7821 != U_7824
| U_7822 != U_7825
| ~ m1_subset_1(U_7821,u1_struct_0(U_7823)) )
| ~ m1_subset_1(U_7822,u1_struct_0(U_7823)) )
| ~ m1_rmod_2(U_7823,U_7827,U_7826) )
| ~ m1_subset_1(U_7824,u1_struct_0(U_7826)) )
| ~ m1_subset_1(U_7825,u1_struct_0(U_7826)) )
| ~ l1_vectsp_2(U_7826,U_7827)
| ~ v5_vectsp_2(U_7826,U_7827)
| ~ v6_rlvect_1(U_7826)
| ~ v5_rlvect_1(U_7826)
| ~ v4_rlvect_1(U_7826)
| ~ v3_rlvect_1(U_7826)
| v3_struct_0(U_7826) )
| ~ l3_vectsp_1(U_7827)
| ~ v8_vectsp_1(U_7827)
| ~ v7_vectsp_1(U_7827)
| ~ v6_vectsp_1(U_7827)
| ~ v4_group_1(U_7827)
| ~ v6_rlvect_1(U_7827)
| ~ v5_rlvect_1(U_7827)
| ~ v4_rlvect_1(U_7827)
| ~ v3_rlvect_1(U_7827)
| v3_struct_0(U_7827) ),
inference(variable_rename,[status(thm)],[f_3163_1]) ).
fof(f_3163_3,plain,
! [U_7821,U_7825,U_7824,U_7827,U_7822,U_7826,U_7823] :
( k6_rlvect_1(U_7823,U_7822,U_7821) = k6_rlvect_1(U_7826,U_7825,U_7824)
| U_7821 != U_7824
| U_7822 != U_7825
| ~ m1_subset_1(U_7821,u1_struct_0(U_7823))
| ~ m1_subset_1(U_7822,u1_struct_0(U_7823))
| ~ m1_rmod_2(U_7823,U_7827,U_7826)
| ~ m1_subset_1(U_7824,u1_struct_0(U_7826))
| ~ m1_subset_1(U_7825,u1_struct_0(U_7826))
| ~ l1_vectsp_2(U_7826,U_7827)
| ~ v5_vectsp_2(U_7826,U_7827)
| ~ v6_rlvect_1(U_7826)
| ~ v5_rlvect_1(U_7826)
| ~ v4_rlvect_1(U_7826)
| ~ v3_rlvect_1(U_7826)
| v3_struct_0(U_7826)
| ~ l3_vectsp_1(U_7827)
| ~ v8_vectsp_1(U_7827)
| ~ v7_vectsp_1(U_7827)
| ~ v6_vectsp_1(U_7827)
| ~ v4_group_1(U_7827)
| ~ v6_rlvect_1(U_7827)
| ~ v5_rlvect_1(U_7827)
| ~ v4_rlvect_1(U_7827)
| ~ v3_rlvect_1(U_7827)
| v3_struct_0(U_7827) ),
inference(definitional_conversion,[status(esa)],[f_3163_2]) ).
cnf(f_3163_4,plain,
( k6_rlvect_1(U_7823,U_7822,U_7821) = k6_rlvect_1(U_7826,U_7825,U_7824)
| U_7821 != U_7824
| U_7822 != U_7825
| ~ m1_subset_1(U_7821,u1_struct_0(U_7823))
| ~ m1_subset_1(U_7822,u1_struct_0(U_7823))
| ~ m1_rmod_2(U_7823,U_7827,U_7826)
| ~ m1_subset_1(U_7824,u1_struct_0(U_7826))
| ~ m1_subset_1(U_7825,u1_struct_0(U_7826))
| ~ l1_vectsp_2(U_7826,U_7827)
| ~ v5_vectsp_2(U_7826,U_7827)
| ~ v6_rlvect_1(U_7826)
| ~ v5_rlvect_1(U_7826)
| ~ v4_rlvect_1(U_7826)
| ~ v3_rlvect_1(U_7826)
| v3_struct_0(U_7826)
| ~ l3_vectsp_1(U_7827)
| ~ v8_vectsp_1(U_7827)
| ~ v7_vectsp_1(U_7827)
| ~ v6_vectsp_1(U_7827)
| ~ v4_group_1(U_7827)
| ~ v6_rlvect_1(U_7827)
| ~ v5_rlvect_1(U_7827)
| ~ v4_rlvect_1(U_7827)
| ~ v3_rlvect_1(U_7827)
| v3_struct_0(U_7827) ),
inference(clausify,[status(thm)],[f_3163_3]) ).
fof(f_3164_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_1(C,k1_rlvect_1(B))
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_rmod_2]) ).
fof(f_3164_2,plain,
! [U_7830] :
( ! [U_7829] :
( ! [U_7828] :
( r1_rlvect_1(U_7828,k1_rlvect_1(U_7829))
| ~ m1_rmod_2(U_7828,U_7830,U_7829) )
| ~ l1_vectsp_2(U_7829,U_7830)
| ~ v5_vectsp_2(U_7829,U_7830)
| ~ v6_rlvect_1(U_7829)
| ~ v5_rlvect_1(U_7829)
| ~ v4_rlvect_1(U_7829)
| ~ v3_rlvect_1(U_7829)
| v3_struct_0(U_7829) )
| ~ l3_vectsp_1(U_7830)
| ~ v8_vectsp_1(U_7830)
| ~ v7_vectsp_1(U_7830)
| ~ v6_vectsp_1(U_7830)
| ~ v4_group_1(U_7830)
| ~ v6_rlvect_1(U_7830)
| ~ v5_rlvect_1(U_7830)
| ~ v4_rlvect_1(U_7830)
| ~ v3_rlvect_1(U_7830)
| v3_struct_0(U_7830) ),
inference(variable_rename,[status(thm)],[f_3164_1]) ).
fof(f_3164_3,plain,
! [U_7829,U_7830,U_7828] :
( r1_rlvect_1(U_7828,k1_rlvect_1(U_7829))
| ~ m1_rmod_2(U_7828,U_7830,U_7829)
| ~ l1_vectsp_2(U_7829,U_7830)
| ~ v5_vectsp_2(U_7829,U_7830)
| ~ v6_rlvect_1(U_7829)
| ~ v5_rlvect_1(U_7829)
| ~ v4_rlvect_1(U_7829)
| ~ v3_rlvect_1(U_7829)
| v3_struct_0(U_7829)
| ~ l3_vectsp_1(U_7830)
| ~ v8_vectsp_1(U_7830)
| ~ v7_vectsp_1(U_7830)
| ~ v6_vectsp_1(U_7830)
| ~ v4_group_1(U_7830)
| ~ v6_rlvect_1(U_7830)
| ~ v5_rlvect_1(U_7830)
| ~ v4_rlvect_1(U_7830)
| ~ v3_rlvect_1(U_7830)
| v3_struct_0(U_7830) ),
inference(definitional_conversion,[status(esa)],[f_3164_2]) ).
cnf(f_3164_4,plain,
( r1_rlvect_1(U_7828,k1_rlvect_1(U_7829))
| ~ m1_rmod_2(U_7828,U_7830,U_7829)
| ~ l1_vectsp_2(U_7829,U_7830)
| ~ v5_vectsp_2(U_7829,U_7830)
| ~ v6_rlvect_1(U_7829)
| ~ v5_rlvect_1(U_7829)
| ~ v4_rlvect_1(U_7829)
| ~ v3_rlvect_1(U_7829)
| v3_struct_0(U_7829)
| ~ l3_vectsp_1(U_7830)
| ~ v8_vectsp_1(U_7830)
| ~ v7_vectsp_1(U_7830)
| ~ v6_vectsp_1(U_7830)
| ~ v4_group_1(U_7830)
| ~ v6_rlvect_1(U_7830)
| ~ v5_rlvect_1(U_7830)
| ~ v4_rlvect_1(U_7830)
| ~ v3_rlvect_1(U_7830)
| v3_struct_0(U_7830) ),
inference(clausify,[status(thm)],[f_3164_3]) ).
fof(f_3165_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k1_rlvect_1(C))
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t26_rmod_2]) ).
fof(f_3165_2,plain,
! [U_7834] :
( ! [U_7833] :
( ! [U_7832] :
( ! [U_7831] :
( r1_rlvect_1(U_7831,k1_rlvect_1(U_7832))
| ~ m1_rmod_2(U_7831,U_7834,U_7833) )
| ~ m1_rmod_2(U_7832,U_7834,U_7833) )
| ~ l1_vectsp_2(U_7833,U_7834)
| ~ v5_vectsp_2(U_7833,U_7834)
| ~ v6_rlvect_1(U_7833)
| ~ v5_rlvect_1(U_7833)
| ~ v4_rlvect_1(U_7833)
| ~ v3_rlvect_1(U_7833)
| v3_struct_0(U_7833) )
| ~ l3_vectsp_1(U_7834)
| ~ v8_vectsp_1(U_7834)
| ~ v7_vectsp_1(U_7834)
| ~ v6_vectsp_1(U_7834)
| ~ v4_group_1(U_7834)
| ~ v6_rlvect_1(U_7834)
| ~ v5_rlvect_1(U_7834)
| ~ v4_rlvect_1(U_7834)
| ~ v3_rlvect_1(U_7834)
| v3_struct_0(U_7834) ),
inference(variable_rename,[status(thm)],[f_3165_1]) ).
fof(f_3165_3,plain,
! [U_7832,U_7831,U_7833,U_7834] :
( r1_rlvect_1(U_7831,k1_rlvect_1(U_7832))
| ~ m1_rmod_2(U_7831,U_7834,U_7833)
| ~ m1_rmod_2(U_7832,U_7834,U_7833)
| ~ l1_vectsp_2(U_7833,U_7834)
| ~ v5_vectsp_2(U_7833,U_7834)
| ~ v6_rlvect_1(U_7833)
| ~ v5_rlvect_1(U_7833)
| ~ v4_rlvect_1(U_7833)
| ~ v3_rlvect_1(U_7833)
| v3_struct_0(U_7833)
| ~ l3_vectsp_1(U_7834)
| ~ v8_vectsp_1(U_7834)
| ~ v7_vectsp_1(U_7834)
| ~ v6_vectsp_1(U_7834)
| ~ v4_group_1(U_7834)
| ~ v6_rlvect_1(U_7834)
| ~ v5_rlvect_1(U_7834)
| ~ v4_rlvect_1(U_7834)
| ~ v3_rlvect_1(U_7834)
| v3_struct_0(U_7834) ),
inference(definitional_conversion,[status(esa)],[f_3165_2]) ).
cnf(f_3165_4,plain,
( r1_rlvect_1(U_7831,k1_rlvect_1(U_7832))
| ~ m1_rmod_2(U_7831,U_7834,U_7833)
| ~ m1_rmod_2(U_7832,U_7834,U_7833)
| ~ l1_vectsp_2(U_7833,U_7834)
| ~ v5_vectsp_2(U_7833,U_7834)
| ~ v6_rlvect_1(U_7833)
| ~ v5_rlvect_1(U_7833)
| ~ v4_rlvect_1(U_7833)
| ~ v3_rlvect_1(U_7833)
| v3_struct_0(U_7833)
| ~ l3_vectsp_1(U_7834)
| ~ v8_vectsp_1(U_7834)
| ~ v7_vectsp_1(U_7834)
| ~ v6_vectsp_1(U_7834)
| ~ v4_group_1(U_7834)
| ~ v6_rlvect_1(U_7834)
| ~ v5_rlvect_1(U_7834)
| ~ v4_rlvect_1(U_7834)
| ~ v3_rlvect_1(U_7834)
| v3_struct_0(U_7834) ),
inference(clausify,[status(thm)],[f_3165_3]) ).
fof(f_3166_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rlvect_1(B,k1_rlvect_1(C))
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t27_rmod_2]) ).
fof(f_3166_2,plain,
! [U_7837] :
( ! [U_7836] :
( ! [U_7835] :
( r1_rlvect_1(U_7836,k1_rlvect_1(U_7835))
| ~ m1_rmod_2(U_7835,U_7837,U_7836) )
| ~ l1_vectsp_2(U_7836,U_7837)
| ~ v5_vectsp_2(U_7836,U_7837)
| ~ v6_rlvect_1(U_7836)
| ~ v5_rlvect_1(U_7836)
| ~ v4_rlvect_1(U_7836)
| ~ v3_rlvect_1(U_7836)
| v3_struct_0(U_7836) )
| ~ l3_vectsp_1(U_7837)
| ~ v8_vectsp_1(U_7837)
| ~ v7_vectsp_1(U_7837)
| ~ v6_vectsp_1(U_7837)
| ~ v4_group_1(U_7837)
| ~ v6_rlvect_1(U_7837)
| ~ v5_rlvect_1(U_7837)
| ~ v4_rlvect_1(U_7837)
| ~ v3_rlvect_1(U_7837)
| v3_struct_0(U_7837) ),
inference(variable_rename,[status(thm)],[f_3166_1]) ).
fof(f_3166_3,plain,
! [U_7836,U_7837,U_7835] :
( r1_rlvect_1(U_7836,k1_rlvect_1(U_7835))
| ~ m1_rmod_2(U_7835,U_7837,U_7836)
| ~ l1_vectsp_2(U_7836,U_7837)
| ~ v5_vectsp_2(U_7836,U_7837)
| ~ v6_rlvect_1(U_7836)
| ~ v5_rlvect_1(U_7836)
| ~ v4_rlvect_1(U_7836)
| ~ v3_rlvect_1(U_7836)
| v3_struct_0(U_7836)
| ~ l3_vectsp_1(U_7837)
| ~ v8_vectsp_1(U_7837)
| ~ v7_vectsp_1(U_7837)
| ~ v6_vectsp_1(U_7837)
| ~ v4_group_1(U_7837)
| ~ v6_rlvect_1(U_7837)
| ~ v5_rlvect_1(U_7837)
| ~ v4_rlvect_1(U_7837)
| ~ v3_rlvect_1(U_7837)
| v3_struct_0(U_7837) ),
inference(definitional_conversion,[status(esa)],[f_3166_2]) ).
cnf(f_3166_4,plain,
( r1_rlvect_1(U_7836,k1_rlvect_1(U_7835))
| ~ m1_rmod_2(U_7835,U_7837,U_7836)
| ~ l1_vectsp_2(U_7836,U_7837)
| ~ v5_vectsp_2(U_7836,U_7837)
| ~ v6_rlvect_1(U_7836)
| ~ v5_rlvect_1(U_7836)
| ~ v4_rlvect_1(U_7836)
| ~ v3_rlvect_1(U_7836)
| v3_struct_0(U_7836)
| ~ l3_vectsp_1(U_7837)
| ~ v8_vectsp_1(U_7837)
| ~ v7_vectsp_1(U_7837)
| ~ v6_vectsp_1(U_7837)
| ~ v4_group_1(U_7837)
| ~ v6_rlvect_1(U_7837)
| ~ v5_rlvect_1(U_7837)
| ~ v4_rlvect_1(U_7837)
| ~ v3_rlvect_1(U_7837)
| v3_struct_0(U_7837) ),
inference(clausify,[status(thm)],[f_3166_3]) ).
fof(f_3167_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rlvect_1(E,k4_rlvect_1(B,C,D))
| ~ r1_rlvect_1(E,D)
| ~ r1_rlvect_1(E,C)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_rmod_2]) ).
fof(f_3167_2,plain,
! [U_7842] :
( ! [U_7841] :
( ! [U_7840] :
( ! [U_7839] :
( ! [U_7838] :
( r1_rlvect_1(U_7838,k4_rlvect_1(U_7841,U_7840,U_7839))
| ~ r1_rlvect_1(U_7838,U_7839)
| ~ r1_rlvect_1(U_7838,U_7840)
| ~ m1_rmod_2(U_7838,U_7842,U_7841) )
| ~ m1_subset_1(U_7839,u1_struct_0(U_7841)) )
| ~ m1_subset_1(U_7840,u1_struct_0(U_7841)) )
| ~ l1_vectsp_2(U_7841,U_7842)
| ~ v5_vectsp_2(U_7841,U_7842)
| ~ v6_rlvect_1(U_7841)
| ~ v5_rlvect_1(U_7841)
| ~ v4_rlvect_1(U_7841)
| ~ v3_rlvect_1(U_7841)
| v3_struct_0(U_7841) )
| ~ l3_vectsp_1(U_7842)
| ~ v8_vectsp_1(U_7842)
| ~ v7_vectsp_1(U_7842)
| ~ v6_vectsp_1(U_7842)
| ~ v4_group_1(U_7842)
| ~ v6_rlvect_1(U_7842)
| ~ v5_rlvect_1(U_7842)
| ~ v4_rlvect_1(U_7842)
| ~ v3_rlvect_1(U_7842)
| v3_struct_0(U_7842) ),
inference(variable_rename,[status(thm)],[f_3167_1]) ).
fof(f_3167_3,plain,
! [U_7840,U_7838,U_7841,U_7839,U_7842] :
( r1_rlvect_1(U_7838,k4_rlvect_1(U_7841,U_7840,U_7839))
| ~ r1_rlvect_1(U_7838,U_7839)
| ~ r1_rlvect_1(U_7838,U_7840)
| ~ m1_rmod_2(U_7838,U_7842,U_7841)
| ~ m1_subset_1(U_7839,u1_struct_0(U_7841))
| ~ m1_subset_1(U_7840,u1_struct_0(U_7841))
| ~ l1_vectsp_2(U_7841,U_7842)
| ~ v5_vectsp_2(U_7841,U_7842)
| ~ v6_rlvect_1(U_7841)
| ~ v5_rlvect_1(U_7841)
| ~ v4_rlvect_1(U_7841)
| ~ v3_rlvect_1(U_7841)
| v3_struct_0(U_7841)
| ~ l3_vectsp_1(U_7842)
| ~ v8_vectsp_1(U_7842)
| ~ v7_vectsp_1(U_7842)
| ~ v6_vectsp_1(U_7842)
| ~ v4_group_1(U_7842)
| ~ v6_rlvect_1(U_7842)
| ~ v5_rlvect_1(U_7842)
| ~ v4_rlvect_1(U_7842)
| ~ v3_rlvect_1(U_7842)
| v3_struct_0(U_7842) ),
inference(definitional_conversion,[status(esa)],[f_3167_2]) ).
cnf(f_3167_4,plain,
( r1_rlvect_1(U_7838,k4_rlvect_1(U_7841,U_7840,U_7839))
| ~ r1_rlvect_1(U_7838,U_7839)
| ~ r1_rlvect_1(U_7838,U_7840)
| ~ m1_rmod_2(U_7838,U_7842,U_7841)
| ~ m1_subset_1(U_7839,u1_struct_0(U_7841))
| ~ m1_subset_1(U_7840,u1_struct_0(U_7841))
| ~ l1_vectsp_2(U_7841,U_7842)
| ~ v5_vectsp_2(U_7841,U_7842)
| ~ v6_rlvect_1(U_7841)
| ~ v5_rlvect_1(U_7841)
| ~ v4_rlvect_1(U_7841)
| ~ v3_rlvect_1(U_7841)
| v3_struct_0(U_7841)
| ~ l3_vectsp_1(U_7842)
| ~ v8_vectsp_1(U_7842)
| ~ v7_vectsp_1(U_7842)
| ~ v6_vectsp_1(U_7842)
| ~ v4_group_1(U_7842)
| ~ v6_rlvect_1(U_7842)
| ~ v5_rlvect_1(U_7842)
| ~ v4_rlvect_1(U_7842)
| ~ v3_rlvect_1(U_7842)
| v3_struct_0(U_7842) ),
inference(clausify,[status(thm)],[f_3167_3]) ).
fof(f_3168_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rlvect_1(E,k6_vectsp_2(A,C,B,D))
| ~ r1_rlvect_1(E,D)
| ~ m1_rmod_2(E,A,C) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t29_rmod_2]) ).
fof(f_3168_2,plain,
! [U_7847] :
( ! [U_7846] :
( ! [U_7845] :
( ! [U_7844] :
( ! [U_7843] :
( r1_rlvect_1(U_7843,k6_vectsp_2(U_7847,U_7845,U_7846,U_7844))
| ~ r1_rlvect_1(U_7843,U_7844)
| ~ m1_rmod_2(U_7843,U_7847,U_7845) )
| ~ m1_subset_1(U_7844,u1_struct_0(U_7845)) )
| ~ l1_vectsp_2(U_7845,U_7847)
| ~ v5_vectsp_2(U_7845,U_7847)
| ~ v6_rlvect_1(U_7845)
| ~ v5_rlvect_1(U_7845)
| ~ v4_rlvect_1(U_7845)
| ~ v3_rlvect_1(U_7845)
| v3_struct_0(U_7845) )
| ~ m1_subset_1(U_7846,u1_struct_0(U_7847)) )
| ~ l3_vectsp_1(U_7847)
| ~ v8_vectsp_1(U_7847)
| ~ v7_vectsp_1(U_7847)
| ~ v6_vectsp_1(U_7847)
| ~ v4_group_1(U_7847)
| ~ v6_rlvect_1(U_7847)
| ~ v5_rlvect_1(U_7847)
| ~ v4_rlvect_1(U_7847)
| ~ v3_rlvect_1(U_7847)
| v3_struct_0(U_7847) ),
inference(variable_rename,[status(thm)],[f_3168_1]) ).
fof(f_3168_3,plain,
! [U_7843,U_7845,U_7846,U_7847,U_7844] :
( r1_rlvect_1(U_7843,k6_vectsp_2(U_7847,U_7845,U_7846,U_7844))
| ~ r1_rlvect_1(U_7843,U_7844)
| ~ m1_rmod_2(U_7843,U_7847,U_7845)
| ~ m1_subset_1(U_7844,u1_struct_0(U_7845))
| ~ l1_vectsp_2(U_7845,U_7847)
| ~ v5_vectsp_2(U_7845,U_7847)
| ~ v6_rlvect_1(U_7845)
| ~ v5_rlvect_1(U_7845)
| ~ v4_rlvect_1(U_7845)
| ~ v3_rlvect_1(U_7845)
| v3_struct_0(U_7845)
| ~ m1_subset_1(U_7846,u1_struct_0(U_7847))
| ~ l3_vectsp_1(U_7847)
| ~ v8_vectsp_1(U_7847)
| ~ v7_vectsp_1(U_7847)
| ~ v6_vectsp_1(U_7847)
| ~ v4_group_1(U_7847)
| ~ v6_rlvect_1(U_7847)
| ~ v5_rlvect_1(U_7847)
| ~ v4_rlvect_1(U_7847)
| ~ v3_rlvect_1(U_7847)
| v3_struct_0(U_7847) ),
inference(definitional_conversion,[status(esa)],[f_3168_2]) ).
cnf(f_3168_4,plain,
( r1_rlvect_1(U_7843,k6_vectsp_2(U_7847,U_7845,U_7846,U_7844))
| ~ r1_rlvect_1(U_7843,U_7844)
| ~ m1_rmod_2(U_7843,U_7847,U_7845)
| ~ m1_subset_1(U_7844,u1_struct_0(U_7845))
| ~ l1_vectsp_2(U_7845,U_7847)
| ~ v5_vectsp_2(U_7845,U_7847)
| ~ v6_rlvect_1(U_7845)
| ~ v5_rlvect_1(U_7845)
| ~ v4_rlvect_1(U_7845)
| ~ v3_rlvect_1(U_7845)
| v3_struct_0(U_7845)
| ~ m1_subset_1(U_7846,u1_struct_0(U_7847))
| ~ l3_vectsp_1(U_7847)
| ~ v8_vectsp_1(U_7847)
| ~ v7_vectsp_1(U_7847)
| ~ v6_vectsp_1(U_7847)
| ~ v4_group_1(U_7847)
| ~ v6_rlvect_1(U_7847)
| ~ v5_rlvect_1(U_7847)
| ~ v4_rlvect_1(U_7847)
| ~ v3_rlvect_1(U_7847)
| v3_struct_0(U_7847) ),
inference(clausify,[status(thm)],[f_3168_3]) ).
fof(f_3169_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k5_rlvect_1(B,C))
| ~ r1_rlvect_1(D,C)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t30_rmod_2]) ).
fof(f_3169_2,plain,
! [U_7851] :
( ! [U_7850] :
( ! [U_7849] :
( ! [U_7848] :
( r1_rlvect_1(U_7848,k5_rlvect_1(U_7850,U_7849))
| ~ r1_rlvect_1(U_7848,U_7849)
| ~ m1_rmod_2(U_7848,U_7851,U_7850) )
| ~ m1_subset_1(U_7849,u1_struct_0(U_7850)) )
| ~ l1_vectsp_2(U_7850,U_7851)
| ~ v5_vectsp_2(U_7850,U_7851)
| ~ v6_rlvect_1(U_7850)
| ~ v5_rlvect_1(U_7850)
| ~ v4_rlvect_1(U_7850)
| ~ v3_rlvect_1(U_7850)
| v3_struct_0(U_7850) )
| ~ l3_vectsp_1(U_7851)
| ~ v8_vectsp_1(U_7851)
| ~ v7_vectsp_1(U_7851)
| ~ v6_vectsp_1(U_7851)
| ~ v4_group_1(U_7851)
| ~ v6_rlvect_1(U_7851)
| ~ v5_rlvect_1(U_7851)
| ~ v4_rlvect_1(U_7851)
| ~ v3_rlvect_1(U_7851)
| v3_struct_0(U_7851) ),
inference(variable_rename,[status(thm)],[f_3169_1]) ).
fof(f_3169_3,plain,
! [U_7849,U_7850,U_7851,U_7848] :
( r1_rlvect_1(U_7848,k5_rlvect_1(U_7850,U_7849))
| ~ r1_rlvect_1(U_7848,U_7849)
| ~ m1_rmod_2(U_7848,U_7851,U_7850)
| ~ m1_subset_1(U_7849,u1_struct_0(U_7850))
| ~ l1_vectsp_2(U_7850,U_7851)
| ~ v5_vectsp_2(U_7850,U_7851)
| ~ v6_rlvect_1(U_7850)
| ~ v5_rlvect_1(U_7850)
| ~ v4_rlvect_1(U_7850)
| ~ v3_rlvect_1(U_7850)
| v3_struct_0(U_7850)
| ~ l3_vectsp_1(U_7851)
| ~ v8_vectsp_1(U_7851)
| ~ v7_vectsp_1(U_7851)
| ~ v6_vectsp_1(U_7851)
| ~ v4_group_1(U_7851)
| ~ v6_rlvect_1(U_7851)
| ~ v5_rlvect_1(U_7851)
| ~ v4_rlvect_1(U_7851)
| ~ v3_rlvect_1(U_7851)
| v3_struct_0(U_7851) ),
inference(definitional_conversion,[status(esa)],[f_3169_2]) ).
cnf(f_3169_4,plain,
( r1_rlvect_1(U_7848,k5_rlvect_1(U_7850,U_7849))
| ~ r1_rlvect_1(U_7848,U_7849)
| ~ m1_rmod_2(U_7848,U_7851,U_7850)
| ~ m1_subset_1(U_7849,u1_struct_0(U_7850))
| ~ l1_vectsp_2(U_7850,U_7851)
| ~ v5_vectsp_2(U_7850,U_7851)
| ~ v6_rlvect_1(U_7850)
| ~ v5_rlvect_1(U_7850)
| ~ v4_rlvect_1(U_7850)
| ~ v3_rlvect_1(U_7850)
| v3_struct_0(U_7850)
| ~ l3_vectsp_1(U_7851)
| ~ v8_vectsp_1(U_7851)
| ~ v7_vectsp_1(U_7851)
| ~ v6_vectsp_1(U_7851)
| ~ v4_group_1(U_7851)
| ~ v6_rlvect_1(U_7851)
| ~ v5_rlvect_1(U_7851)
| ~ v4_rlvect_1(U_7851)
| ~ v3_rlvect_1(U_7851)
| v3_struct_0(U_7851) ),
inference(clausify,[status(thm)],[f_3169_3]) ).
fof(f_3170_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rlvect_1(E,k6_rlvect_1(B,C,D))
| ~ r1_rlvect_1(E,D)
| ~ r1_rlvect_1(E,C)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t31_rmod_2]) ).
fof(f_3170_2,plain,
! [U_7856] :
( ! [U_7855] :
( ! [U_7854] :
( ! [U_7853] :
( ! [U_7852] :
( r1_rlvect_1(U_7852,k6_rlvect_1(U_7855,U_7854,U_7853))
| ~ r1_rlvect_1(U_7852,U_7853)
| ~ r1_rlvect_1(U_7852,U_7854)
| ~ m1_rmod_2(U_7852,U_7856,U_7855) )
| ~ m1_subset_1(U_7853,u1_struct_0(U_7855)) )
| ~ m1_subset_1(U_7854,u1_struct_0(U_7855)) )
| ~ l1_vectsp_2(U_7855,U_7856)
| ~ v5_vectsp_2(U_7855,U_7856)
| ~ v6_rlvect_1(U_7855)
| ~ v5_rlvect_1(U_7855)
| ~ v4_rlvect_1(U_7855)
| ~ v3_rlvect_1(U_7855)
| v3_struct_0(U_7855) )
| ~ l3_vectsp_1(U_7856)
| ~ v8_vectsp_1(U_7856)
| ~ v7_vectsp_1(U_7856)
| ~ v6_vectsp_1(U_7856)
| ~ v4_group_1(U_7856)
| ~ v6_rlvect_1(U_7856)
| ~ v5_rlvect_1(U_7856)
| ~ v4_rlvect_1(U_7856)
| ~ v3_rlvect_1(U_7856)
| v3_struct_0(U_7856) ),
inference(variable_rename,[status(thm)],[f_3170_1]) ).
fof(f_3170_3,plain,
! [U_7854,U_7853,U_7855,U_7856,U_7852] :
( r1_rlvect_1(U_7852,k6_rlvect_1(U_7855,U_7854,U_7853))
| ~ r1_rlvect_1(U_7852,U_7853)
| ~ r1_rlvect_1(U_7852,U_7854)
| ~ m1_rmod_2(U_7852,U_7856,U_7855)
| ~ m1_subset_1(U_7853,u1_struct_0(U_7855))
| ~ m1_subset_1(U_7854,u1_struct_0(U_7855))
| ~ l1_vectsp_2(U_7855,U_7856)
| ~ v5_vectsp_2(U_7855,U_7856)
| ~ v6_rlvect_1(U_7855)
| ~ v5_rlvect_1(U_7855)
| ~ v4_rlvect_1(U_7855)
| ~ v3_rlvect_1(U_7855)
| v3_struct_0(U_7855)
| ~ l3_vectsp_1(U_7856)
| ~ v8_vectsp_1(U_7856)
| ~ v7_vectsp_1(U_7856)
| ~ v6_vectsp_1(U_7856)
| ~ v4_group_1(U_7856)
| ~ v6_rlvect_1(U_7856)
| ~ v5_rlvect_1(U_7856)
| ~ v4_rlvect_1(U_7856)
| ~ v3_rlvect_1(U_7856)
| v3_struct_0(U_7856) ),
inference(definitional_conversion,[status(esa)],[f_3170_2]) ).
cnf(f_3170_4,plain,
( r1_rlvect_1(U_7852,k6_rlvect_1(U_7855,U_7854,U_7853))
| ~ r1_rlvect_1(U_7852,U_7853)
| ~ r1_rlvect_1(U_7852,U_7854)
| ~ m1_rmod_2(U_7852,U_7856,U_7855)
| ~ m1_subset_1(U_7853,u1_struct_0(U_7855))
| ~ m1_subset_1(U_7854,u1_struct_0(U_7855))
| ~ l1_vectsp_2(U_7855,U_7856)
| ~ v5_vectsp_2(U_7855,U_7856)
| ~ v6_rlvect_1(U_7855)
| ~ v5_rlvect_1(U_7855)
| ~ v4_rlvect_1(U_7855)
| ~ v3_rlvect_1(U_7855)
| v3_struct_0(U_7855)
| ~ l3_vectsp_1(U_7856)
| ~ v8_vectsp_1(U_7856)
| ~ v7_vectsp_1(U_7856)
| ~ v6_vectsp_1(U_7856)
| ~ v4_group_1(U_7856)
| ~ v6_rlvect_1(U_7856)
| ~ v5_rlvect_1(U_7856)
| ~ v4_rlvect_1(U_7856)
| ~ v3_rlvect_1(U_7856)
| v3_struct_0(U_7856) ),
inference(clausify,[status(thm)],[f_3170_3]) ).
fof(f_3171_1,plain,
! [A] :
( ! [B] :
( m1_rmod_2(B,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t32_rmod_2]) ).
fof(f_3171_2,plain,
! [U_7858] :
( ! [U_7857] :
( m1_rmod_2(U_7857,U_7858,U_7857)
| ~ l1_vectsp_2(U_7857,U_7858)
| ~ v5_vectsp_2(U_7857,U_7858)
| ~ v6_rlvect_1(U_7857)
| ~ v5_rlvect_1(U_7857)
| ~ v4_rlvect_1(U_7857)
| ~ v3_rlvect_1(U_7857)
| v3_struct_0(U_7857) )
| ~ l3_vectsp_1(U_7858)
| ~ v8_vectsp_1(U_7858)
| ~ v7_vectsp_1(U_7858)
| ~ v6_vectsp_1(U_7858)
| ~ v4_group_1(U_7858)
| ~ v6_rlvect_1(U_7858)
| ~ v5_rlvect_1(U_7858)
| ~ v4_rlvect_1(U_7858)
| ~ v3_rlvect_1(U_7858)
| v3_struct_0(U_7858) ),
inference(variable_rename,[status(thm)],[f_3171_1]) ).
fof(f_3171_3,plain,
! [U_7858,U_7857] :
( m1_rmod_2(U_7857,U_7858,U_7857)
| ~ l1_vectsp_2(U_7857,U_7858)
| ~ v5_vectsp_2(U_7857,U_7858)
| ~ v6_rlvect_1(U_7857)
| ~ v5_rlvect_1(U_7857)
| ~ v4_rlvect_1(U_7857)
| ~ v3_rlvect_1(U_7857)
| v3_struct_0(U_7857)
| ~ l3_vectsp_1(U_7858)
| ~ v8_vectsp_1(U_7858)
| ~ v7_vectsp_1(U_7858)
| ~ v6_vectsp_1(U_7858)
| ~ v4_group_1(U_7858)
| ~ v6_rlvect_1(U_7858)
| ~ v5_rlvect_1(U_7858)
| ~ v4_rlvect_1(U_7858)
| ~ v3_rlvect_1(U_7858)
| v3_struct_0(U_7858) ),
inference(definitional_conversion,[status(esa)],[f_3171_2]) ).
cnf(f_3171_4,plain,
( m1_rmod_2(U_7857,U_7858,U_7857)
| ~ l1_vectsp_2(U_7857,U_7858)
| ~ v5_vectsp_2(U_7857,U_7858)
| ~ v6_rlvect_1(U_7857)
| ~ v5_rlvect_1(U_7857)
| ~ v4_rlvect_1(U_7857)
| ~ v3_rlvect_1(U_7857)
| v3_struct_0(U_7857)
| ~ l3_vectsp_1(U_7858)
| ~ v8_vectsp_1(U_7858)
| ~ v7_vectsp_1(U_7858)
| ~ v6_vectsp_1(U_7858)
| ~ v4_group_1(U_7858)
| ~ v6_rlvect_1(U_7858)
| ~ v5_rlvect_1(U_7858)
| ~ v4_rlvect_1(U_7858)
| ~ v3_rlvect_1(U_7858)
| v3_struct_0(U_7858) ),
inference(clausify,[status(thm)],[f_3171_3]) ).
fof(f_3172_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = B
| ~ m1_rmod_2(B,A,C)
| ~ m1_rmod_2(C,A,B)
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v3_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_rmod_2]) ).
fof(f_3172_2,plain,
! [U_7861] :
( ! [U_7860] :
( ! [U_7859] :
( U_7859 = U_7860
| ~ m1_rmod_2(U_7860,U_7861,U_7859)
| ~ m1_rmod_2(U_7859,U_7861,U_7860)
| ~ l1_vectsp_2(U_7859,U_7861)
| ~ v5_vectsp_2(U_7859,U_7861)
| ~ v3_vectsp_2(U_7859,U_7861)
| ~ v6_rlvect_1(U_7859)
| ~ v5_rlvect_1(U_7859)
| ~ v4_rlvect_1(U_7859)
| ~ v3_rlvect_1(U_7859)
| v3_struct_0(U_7859) )
| ~ l1_vectsp_2(U_7860,U_7861)
| ~ v5_vectsp_2(U_7860,U_7861)
| ~ v3_vectsp_2(U_7860,U_7861)
| ~ v6_rlvect_1(U_7860)
| ~ v5_rlvect_1(U_7860)
| ~ v4_rlvect_1(U_7860)
| ~ v3_rlvect_1(U_7860)
| v3_struct_0(U_7860) )
| ~ l3_vectsp_1(U_7861)
| ~ v8_vectsp_1(U_7861)
| ~ v7_vectsp_1(U_7861)
| ~ v6_vectsp_1(U_7861)
| ~ v4_group_1(U_7861)
| ~ v6_rlvect_1(U_7861)
| ~ v5_rlvect_1(U_7861)
| ~ v4_rlvect_1(U_7861)
| ~ v3_rlvect_1(U_7861)
| v3_struct_0(U_7861) ),
inference(variable_rename,[status(thm)],[f_3172_1]) ).
fof(f_3172_3,plain,
! [U_7859,U_7861,U_7860] :
( U_7859 = U_7860
| ~ m1_rmod_2(U_7860,U_7861,U_7859)
| ~ m1_rmod_2(U_7859,U_7861,U_7860)
| ~ l1_vectsp_2(U_7859,U_7861)
| ~ v5_vectsp_2(U_7859,U_7861)
| ~ v3_vectsp_2(U_7859,U_7861)
| ~ v6_rlvect_1(U_7859)
| ~ v5_rlvect_1(U_7859)
| ~ v4_rlvect_1(U_7859)
| ~ v3_rlvect_1(U_7859)
| v3_struct_0(U_7859)
| ~ l1_vectsp_2(U_7860,U_7861)
| ~ v5_vectsp_2(U_7860,U_7861)
| ~ v3_vectsp_2(U_7860,U_7861)
| ~ v6_rlvect_1(U_7860)
| ~ v5_rlvect_1(U_7860)
| ~ v4_rlvect_1(U_7860)
| ~ v3_rlvect_1(U_7860)
| v3_struct_0(U_7860)
| ~ l3_vectsp_1(U_7861)
| ~ v8_vectsp_1(U_7861)
| ~ v7_vectsp_1(U_7861)
| ~ v6_vectsp_1(U_7861)
| ~ v4_group_1(U_7861)
| ~ v6_rlvect_1(U_7861)
| ~ v5_rlvect_1(U_7861)
| ~ v4_rlvect_1(U_7861)
| ~ v3_rlvect_1(U_7861)
| v3_struct_0(U_7861) ),
inference(definitional_conversion,[status(esa)],[f_3172_2]) ).
cnf(f_3172_4,plain,
( U_7859 = U_7860
| ~ m1_rmod_2(U_7860,U_7861,U_7859)
| ~ m1_rmod_2(U_7859,U_7861,U_7860)
| ~ l1_vectsp_2(U_7859,U_7861)
| ~ v5_vectsp_2(U_7859,U_7861)
| ~ v3_vectsp_2(U_7859,U_7861)
| ~ v6_rlvect_1(U_7859)
| ~ v5_rlvect_1(U_7859)
| ~ v4_rlvect_1(U_7859)
| ~ v3_rlvect_1(U_7859)
| v3_struct_0(U_7859)
| ~ l1_vectsp_2(U_7860,U_7861)
| ~ v5_vectsp_2(U_7860,U_7861)
| ~ v3_vectsp_2(U_7860,U_7861)
| ~ v6_rlvect_1(U_7860)
| ~ v5_rlvect_1(U_7860)
| ~ v4_rlvect_1(U_7860)
| ~ v3_rlvect_1(U_7860)
| v3_struct_0(U_7860)
| ~ l3_vectsp_1(U_7861)
| ~ v8_vectsp_1(U_7861)
| ~ v7_vectsp_1(U_7861)
| ~ v6_vectsp_1(U_7861)
| ~ v4_group_1(U_7861)
| ~ v6_rlvect_1(U_7861)
| ~ v5_rlvect_1(U_7861)
| ~ v4_rlvect_1(U_7861)
| ~ v3_rlvect_1(U_7861)
| v3_struct_0(U_7861) ),
inference(clausify,[status(thm)],[f_3172_3]) ).
fof(f_3173_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_rmod_2(B,A,D)
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(B,A,C)
| ~ l1_vectsp_2(D,A)
| ~ v5_vectsp_2(D,A)
| ~ v6_rlvect_1(D)
| ~ v5_rlvect_1(D)
| ~ v4_rlvect_1(D)
| ~ v3_rlvect_1(D)
| v3_struct_0(D) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_rmod_2]) ).
fof(f_3173_2,plain,
! [U_7865] :
( ! [U_7864] :
( ! [U_7863] :
( ! [U_7862] :
( m1_rmod_2(U_7864,U_7865,U_7862)
| ~ m1_rmod_2(U_7863,U_7865,U_7862)
| ~ m1_rmod_2(U_7864,U_7865,U_7863)
| ~ l1_vectsp_2(U_7862,U_7865)
| ~ v5_vectsp_2(U_7862,U_7865)
| ~ v6_rlvect_1(U_7862)
| ~ v5_rlvect_1(U_7862)
| ~ v4_rlvect_1(U_7862)
| ~ v3_rlvect_1(U_7862)
| v3_struct_0(U_7862) )
| ~ l1_vectsp_2(U_7863,U_7865)
| ~ v5_vectsp_2(U_7863,U_7865)
| ~ v6_rlvect_1(U_7863)
| ~ v5_rlvect_1(U_7863)
| ~ v4_rlvect_1(U_7863)
| ~ v3_rlvect_1(U_7863)
| v3_struct_0(U_7863) )
| ~ l1_vectsp_2(U_7864,U_7865)
| ~ v5_vectsp_2(U_7864,U_7865)
| ~ v6_rlvect_1(U_7864)
| ~ v5_rlvect_1(U_7864)
| ~ v4_rlvect_1(U_7864)
| ~ v3_rlvect_1(U_7864)
| v3_struct_0(U_7864) )
| ~ l3_vectsp_1(U_7865)
| ~ v8_vectsp_1(U_7865)
| ~ v7_vectsp_1(U_7865)
| ~ v6_vectsp_1(U_7865)
| ~ v4_group_1(U_7865)
| ~ v6_rlvect_1(U_7865)
| ~ v5_rlvect_1(U_7865)
| ~ v4_rlvect_1(U_7865)
| ~ v3_rlvect_1(U_7865)
| v3_struct_0(U_7865) ),
inference(variable_rename,[status(thm)],[f_3173_1]) ).
fof(f_3173_3,plain,
! [U_7862,U_7863,U_7865,U_7864] :
( m1_rmod_2(U_7864,U_7865,U_7862)
| ~ m1_rmod_2(U_7863,U_7865,U_7862)
| ~ m1_rmod_2(U_7864,U_7865,U_7863)
| ~ l1_vectsp_2(U_7862,U_7865)
| ~ v5_vectsp_2(U_7862,U_7865)
| ~ v6_rlvect_1(U_7862)
| ~ v5_rlvect_1(U_7862)
| ~ v4_rlvect_1(U_7862)
| ~ v3_rlvect_1(U_7862)
| v3_struct_0(U_7862)
| ~ l1_vectsp_2(U_7863,U_7865)
| ~ v5_vectsp_2(U_7863,U_7865)
| ~ v6_rlvect_1(U_7863)
| ~ v5_rlvect_1(U_7863)
| ~ v4_rlvect_1(U_7863)
| ~ v3_rlvect_1(U_7863)
| v3_struct_0(U_7863)
| ~ l1_vectsp_2(U_7864,U_7865)
| ~ v5_vectsp_2(U_7864,U_7865)
| ~ v6_rlvect_1(U_7864)
| ~ v5_rlvect_1(U_7864)
| ~ v4_rlvect_1(U_7864)
| ~ v3_rlvect_1(U_7864)
| v3_struct_0(U_7864)
| ~ l3_vectsp_1(U_7865)
| ~ v8_vectsp_1(U_7865)
| ~ v7_vectsp_1(U_7865)
| ~ v6_vectsp_1(U_7865)
| ~ v4_group_1(U_7865)
| ~ v6_rlvect_1(U_7865)
| ~ v5_rlvect_1(U_7865)
| ~ v4_rlvect_1(U_7865)
| ~ v3_rlvect_1(U_7865)
| v3_struct_0(U_7865) ),
inference(definitional_conversion,[status(esa)],[f_3173_2]) ).
cnf(f_3173_4,plain,
( m1_rmod_2(U_7864,U_7865,U_7862)
| ~ m1_rmod_2(U_7863,U_7865,U_7862)
| ~ m1_rmod_2(U_7864,U_7865,U_7863)
| ~ l1_vectsp_2(U_7862,U_7865)
| ~ v5_vectsp_2(U_7862,U_7865)
| ~ v6_rlvect_1(U_7862)
| ~ v5_rlvect_1(U_7862)
| ~ v4_rlvect_1(U_7862)
| ~ v3_rlvect_1(U_7862)
| v3_struct_0(U_7862)
| ~ l1_vectsp_2(U_7863,U_7865)
| ~ v5_vectsp_2(U_7863,U_7865)
| ~ v6_rlvect_1(U_7863)
| ~ v5_rlvect_1(U_7863)
| ~ v4_rlvect_1(U_7863)
| ~ v3_rlvect_1(U_7863)
| v3_struct_0(U_7863)
| ~ l1_vectsp_2(U_7864,U_7865)
| ~ v5_vectsp_2(U_7864,U_7865)
| ~ v6_rlvect_1(U_7864)
| ~ v5_rlvect_1(U_7864)
| ~ v4_rlvect_1(U_7864)
| ~ v3_rlvect_1(U_7864)
| v3_struct_0(U_7864)
| ~ l3_vectsp_1(U_7865)
| ~ v8_vectsp_1(U_7865)
| ~ v7_vectsp_1(U_7865)
| ~ v6_vectsp_1(U_7865)
| ~ v4_group_1(U_7865)
| ~ v6_rlvect_1(U_7865)
| ~ v5_rlvect_1(U_7865)
| ~ v4_rlvect_1(U_7865)
| ~ v3_rlvect_1(U_7865)
| v3_struct_0(U_7865) ),
inference(clausify,[status(thm)],[f_3173_3]) ).
fof(f_3174_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_rmod_2(C,A,D)
| ~ r1_tarski(u1_struct_0(C),u1_struct_0(D))
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_rmod_2]) ).
fof(f_3174_2,plain,
! [U_7869] :
( ! [U_7868] :
( ! [U_7867] :
( ! [U_7866] :
( m1_rmod_2(U_7867,U_7869,U_7866)
| ~ r1_tarski(u1_struct_0(U_7867),u1_struct_0(U_7866))
| ~ m1_rmod_2(U_7866,U_7869,U_7868) )
| ~ m1_rmod_2(U_7867,U_7869,U_7868) )
| ~ l1_vectsp_2(U_7868,U_7869)
| ~ v5_vectsp_2(U_7868,U_7869)
| ~ v6_rlvect_1(U_7868)
| ~ v5_rlvect_1(U_7868)
| ~ v4_rlvect_1(U_7868)
| ~ v3_rlvect_1(U_7868)
| v3_struct_0(U_7868) )
| ~ l3_vectsp_1(U_7869)
| ~ v8_vectsp_1(U_7869)
| ~ v7_vectsp_1(U_7869)
| ~ v6_vectsp_1(U_7869)
| ~ v4_group_1(U_7869)
| ~ v6_rlvect_1(U_7869)
| ~ v5_rlvect_1(U_7869)
| ~ v4_rlvect_1(U_7869)
| ~ v3_rlvect_1(U_7869)
| v3_struct_0(U_7869) ),
inference(variable_rename,[status(thm)],[f_3174_1]) ).
fof(f_3174_3,plain,
! [U_7869,U_7867,U_7866,U_7868] :
( m1_rmod_2(U_7867,U_7869,U_7866)
| ~ r1_tarski(u1_struct_0(U_7867),u1_struct_0(U_7866))
| ~ m1_rmod_2(U_7866,U_7869,U_7868)
| ~ m1_rmod_2(U_7867,U_7869,U_7868)
| ~ l1_vectsp_2(U_7868,U_7869)
| ~ v5_vectsp_2(U_7868,U_7869)
| ~ v6_rlvect_1(U_7868)
| ~ v5_rlvect_1(U_7868)
| ~ v4_rlvect_1(U_7868)
| ~ v3_rlvect_1(U_7868)
| v3_struct_0(U_7868)
| ~ l3_vectsp_1(U_7869)
| ~ v8_vectsp_1(U_7869)
| ~ v7_vectsp_1(U_7869)
| ~ v6_vectsp_1(U_7869)
| ~ v4_group_1(U_7869)
| ~ v6_rlvect_1(U_7869)
| ~ v5_rlvect_1(U_7869)
| ~ v4_rlvect_1(U_7869)
| ~ v3_rlvect_1(U_7869)
| v3_struct_0(U_7869) ),
inference(definitional_conversion,[status(esa)],[f_3174_2]) ).
cnf(f_3174_4,plain,
( m1_rmod_2(U_7867,U_7869,U_7866)
| ~ r1_tarski(u1_struct_0(U_7867),u1_struct_0(U_7866))
| ~ m1_rmod_2(U_7866,U_7869,U_7868)
| ~ m1_rmod_2(U_7867,U_7869,U_7868)
| ~ l1_vectsp_2(U_7868,U_7869)
| ~ v5_vectsp_2(U_7868,U_7869)
| ~ v6_rlvect_1(U_7868)
| ~ v5_rlvect_1(U_7868)
| ~ v4_rlvect_1(U_7868)
| ~ v3_rlvect_1(U_7868)
| v3_struct_0(U_7868)
| ~ l3_vectsp_1(U_7869)
| ~ v8_vectsp_1(U_7869)
| ~ v7_vectsp_1(U_7869)
| ~ v6_vectsp_1(U_7869)
| ~ v4_group_1(U_7869)
| ~ v6_rlvect_1(U_7869)
| ~ v5_rlvect_1(U_7869)
| ~ v4_rlvect_1(U_7869)
| ~ v3_rlvect_1(U_7869)
| v3_struct_0(U_7869) ),
inference(clausify,[status(thm)],[f_3174_3]) ).
fof(f_3175_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_rmod_2(C,A,D)
| ? [E] :
( ~ r1_rlvect_1(D,E)
& r1_rlvect_1(C,E)
& m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_rmod_2]) ).
fof(f_3175_2,plain,
! [U_7874] :
( ! [U_7873] :
( ! [U_7872] :
( ! [U_7871] :
( m1_rmod_2(U_7872,U_7874,U_7871)
| ? [U_7870] :
( ~ r1_rlvect_1(U_7871,U_7870)
& r1_rlvect_1(U_7872,U_7870)
& m1_subset_1(U_7870,u1_struct_0(U_7873)) )
| ~ m1_rmod_2(U_7871,U_7874,U_7873) )
| ~ m1_rmod_2(U_7872,U_7874,U_7873) )
| ~ l1_vectsp_2(U_7873,U_7874)
| ~ v5_vectsp_2(U_7873,U_7874)
| ~ v6_rlvect_1(U_7873)
| ~ v5_rlvect_1(U_7873)
| ~ v4_rlvect_1(U_7873)
| ~ v3_rlvect_1(U_7873)
| v3_struct_0(U_7873) )
| ~ l3_vectsp_1(U_7874)
| ~ v8_vectsp_1(U_7874)
| ~ v7_vectsp_1(U_7874)
| ~ v6_vectsp_1(U_7874)
| ~ v4_group_1(U_7874)
| ~ v6_rlvect_1(U_7874)
| ~ v5_rlvect_1(U_7874)
| ~ v4_rlvect_1(U_7874)
| ~ v3_rlvect_1(U_7874)
| v3_struct_0(U_7874) ),
inference(variable_rename,[status(thm)],[f_3175_1]) ).
fof(f_3175_3,plain,
! [U_7874] :
( ! [U_7873] :
( ! [U_7872] :
( ! [U_7871] :
( m1_rmod_2(U_7872,U_7874,U_7871)
| ( ~ r1_rlvect_1(U_7871,sK941(U_7874,U_7873,U_7872,U_7871))
& r1_rlvect_1(U_7872,sK941(U_7874,U_7873,U_7872,U_7871))
& m1_subset_1(sK941(U_7874,U_7873,U_7872,U_7871),u1_struct_0(U_7873)) )
| ~ m1_rmod_2(U_7871,U_7874,U_7873) )
| ~ m1_rmod_2(U_7872,U_7874,U_7873) )
| ~ l1_vectsp_2(U_7873,U_7874)
| ~ v5_vectsp_2(U_7873,U_7874)
| ~ v6_rlvect_1(U_7873)
| ~ v5_rlvect_1(U_7873)
| ~ v4_rlvect_1(U_7873)
| ~ v3_rlvect_1(U_7873)
| v3_struct_0(U_7873) )
| ~ l3_vectsp_1(U_7874)
| ~ v8_vectsp_1(U_7874)
| ~ v7_vectsp_1(U_7874)
| ~ v6_vectsp_1(U_7874)
| ~ v4_group_1(U_7874)
| ~ v6_rlvect_1(U_7874)
| ~ v5_rlvect_1(U_7874)
| ~ v4_rlvect_1(U_7874)
| ~ v3_rlvect_1(U_7874)
| v3_struct_0(U_7874) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK941]),skolemize(U_7870,sK941(U_7874,U_7873,U_7872,U_7871))],[f_3175_2]) ).
fof(f_3175_4,plain,
( ! [U_7873,U_7872,U_7871,U_7874] :
( ~ r1_rlvect_1(U_7871,sK941(U_7874,U_7873,U_7872,U_7871))
| ~ sP1407(U_7873,U_7872,U_7871,U_7874) )
& ! [U_7873,U_7872,U_7871,U_7874] :
( r1_rlvect_1(U_7872,sK941(U_7874,U_7873,U_7872,U_7871))
| ~ sP1407(U_7873,U_7872,U_7871,U_7874) )
& ! [U_7873,U_7872,U_7871,U_7874] :
( m1_subset_1(sK941(U_7874,U_7873,U_7872,U_7871),u1_struct_0(U_7873))
| ~ sP1407(U_7873,U_7872,U_7871,U_7874) )
& ! [U_7873,U_7872,U_7871,U_7874] :
( m1_rmod_2(U_7872,U_7874,U_7871)
| sP1407(U_7873,U_7872,U_7871,U_7874)
| ~ m1_rmod_2(U_7871,U_7874,U_7873)
| ~ m1_rmod_2(U_7872,U_7874,U_7873)
| ~ l1_vectsp_2(U_7873,U_7874)
| ~ v5_vectsp_2(U_7873,U_7874)
| ~ v6_rlvect_1(U_7873)
| ~ v5_rlvect_1(U_7873)
| ~ v4_rlvect_1(U_7873)
| ~ v3_rlvect_1(U_7873)
| v3_struct_0(U_7873)
| ~ l3_vectsp_1(U_7874)
| ~ v8_vectsp_1(U_7874)
| ~ v7_vectsp_1(U_7874)
| ~ v6_vectsp_1(U_7874)
| ~ v4_group_1(U_7874)
| ~ v6_rlvect_1(U_7874)
| ~ v5_rlvect_1(U_7874)
| ~ v4_rlvect_1(U_7874)
| ~ v3_rlvect_1(U_7874)
| v3_struct_0(U_7874) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1407])],[f_3175_3]) ).
cnf(f_3175_5,plain,
( m1_rmod_2(U_7872,U_7874,U_7871)
| sP1407(U_7873,U_7872,U_7871,U_7874)
| ~ m1_rmod_2(U_7871,U_7874,U_7873)
| ~ m1_rmod_2(U_7872,U_7874,U_7873)
| ~ l1_vectsp_2(U_7873,U_7874)
| ~ v5_vectsp_2(U_7873,U_7874)
| ~ v6_rlvect_1(U_7873)
| ~ v5_rlvect_1(U_7873)
| ~ v4_rlvect_1(U_7873)
| ~ v3_rlvect_1(U_7873)
| v3_struct_0(U_7873)
| ~ l3_vectsp_1(U_7874)
| ~ v8_vectsp_1(U_7874)
| ~ v7_vectsp_1(U_7874)
| ~ v6_vectsp_1(U_7874)
| ~ v4_group_1(U_7874)
| ~ v6_rlvect_1(U_7874)
| ~ v5_rlvect_1(U_7874)
| ~ v4_rlvect_1(U_7874)
| ~ v3_rlvect_1(U_7874)
| v3_struct_0(U_7874) ),
inference(clausify,[status(thm)],[f_3175_4]) ).
cnf(f_3175_6,plain,
( m1_subset_1(sK941(U_7874,U_7873,U_7872,U_7871),u1_struct_0(U_7873))
| ~ sP1407(U_7873,U_7872,U_7871,U_7874) ),
inference(clausify,[status(thm)],[f_3175_4]) ).
cnf(f_3175_7,plain,
( r1_rlvect_1(U_7872,sK941(U_7874,U_7873,U_7872,U_7871))
| ~ sP1407(U_7873,U_7872,U_7871,U_7874) ),
inference(clausify,[status(thm)],[f_3175_4]) ).
cnf(f_3175_8,plain,
( ~ r1_rlvect_1(U_7871,sK941(U_7874,U_7873,U_7872,U_7871))
| ~ sP1407(U_7873,U_7872,U_7871,U_7874) ),
inference(clausify,[status(thm)],[f_3175_4]) ).
fof(f_3176_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| u1_struct_0(C) != u1_struct_0(D)
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_rmod_2]) ).
fof(f_3176_2,plain,
! [U_7878] :
( ! [U_7877] :
( ! [U_7876] :
( ! [U_7875] :
( U_7876 = U_7875
| u1_struct_0(U_7876) != u1_struct_0(U_7875)
| ~ m1_rmod_2(U_7875,U_7878,U_7877)
| ~ v3_vectsp_2(U_7875,U_7878) )
| ~ m1_rmod_2(U_7876,U_7878,U_7877)
| ~ v3_vectsp_2(U_7876,U_7878) )
| ~ l1_vectsp_2(U_7877,U_7878)
| ~ v5_vectsp_2(U_7877,U_7878)
| ~ v6_rlvect_1(U_7877)
| ~ v5_rlvect_1(U_7877)
| ~ v4_rlvect_1(U_7877)
| ~ v3_rlvect_1(U_7877)
| v3_struct_0(U_7877) )
| ~ l3_vectsp_1(U_7878)
| ~ v8_vectsp_1(U_7878)
| ~ v7_vectsp_1(U_7878)
| ~ v6_vectsp_1(U_7878)
| ~ v4_group_1(U_7878)
| ~ v6_rlvect_1(U_7878)
| ~ v5_rlvect_1(U_7878)
| ~ v4_rlvect_1(U_7878)
| ~ v3_rlvect_1(U_7878)
| v3_struct_0(U_7878) ),
inference(variable_rename,[status(thm)],[f_3176_1]) ).
fof(f_3176_3,plain,
! [U_7875,U_7877,U_7876,U_7878] :
( U_7876 = U_7875
| u1_struct_0(U_7876) != u1_struct_0(U_7875)
| ~ m1_rmod_2(U_7875,U_7878,U_7877)
| ~ v3_vectsp_2(U_7875,U_7878)
| ~ m1_rmod_2(U_7876,U_7878,U_7877)
| ~ v3_vectsp_2(U_7876,U_7878)
| ~ l1_vectsp_2(U_7877,U_7878)
| ~ v5_vectsp_2(U_7877,U_7878)
| ~ v6_rlvect_1(U_7877)
| ~ v5_rlvect_1(U_7877)
| ~ v4_rlvect_1(U_7877)
| ~ v3_rlvect_1(U_7877)
| v3_struct_0(U_7877)
| ~ l3_vectsp_1(U_7878)
| ~ v8_vectsp_1(U_7878)
| ~ v7_vectsp_1(U_7878)
| ~ v6_vectsp_1(U_7878)
| ~ v4_group_1(U_7878)
| ~ v6_rlvect_1(U_7878)
| ~ v5_rlvect_1(U_7878)
| ~ v4_rlvect_1(U_7878)
| ~ v3_rlvect_1(U_7878)
| v3_struct_0(U_7878) ),
inference(definitional_conversion,[status(esa)],[f_3176_2]) ).
cnf(f_3176_4,plain,
( U_7876 = U_7875
| u1_struct_0(U_7876) != u1_struct_0(U_7875)
| ~ m1_rmod_2(U_7875,U_7878,U_7877)
| ~ v3_vectsp_2(U_7875,U_7878)
| ~ m1_rmod_2(U_7876,U_7878,U_7877)
| ~ v3_vectsp_2(U_7876,U_7878)
| ~ l1_vectsp_2(U_7877,U_7878)
| ~ v5_vectsp_2(U_7877,U_7878)
| ~ v6_rlvect_1(U_7877)
| ~ v5_rlvect_1(U_7877)
| ~ v4_rlvect_1(U_7877)
| ~ v3_rlvect_1(U_7877)
| v3_struct_0(U_7877)
| ~ l3_vectsp_1(U_7878)
| ~ v8_vectsp_1(U_7878)
| ~ v7_vectsp_1(U_7878)
| ~ v6_vectsp_1(U_7878)
| ~ v4_group_1(U_7878)
| ~ v6_rlvect_1(U_7878)
| ~ v5_rlvect_1(U_7878)
| ~ v4_rlvect_1(U_7878)
| ~ v3_rlvect_1(U_7878)
| v3_struct_0(U_7878) ),
inference(clausify,[status(thm)],[f_3176_3]) ).
fof(f_3177_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( C = D
| ? [E] :
( ( ( ~ r1_rlvect_1(C,E)
& r1_rlvect_1(D,E) )
| ( ~ r1_rlvect_1(D,E)
& r1_rlvect_1(C,E) ) )
& m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t38_rmod_2]) ).
fof(f_3177_2,plain,
! [U_7883] :
( ! [U_7882] :
( ! [U_7881] :
( ! [U_7880] :
( U_7881 = U_7880
| ? [U_7879] :
( ( ( ~ r1_rlvect_1(U_7881,U_7879)
& r1_rlvect_1(U_7880,U_7879) )
| ( ~ r1_rlvect_1(U_7880,U_7879)
& r1_rlvect_1(U_7881,U_7879) ) )
& m1_subset_1(U_7879,u1_struct_0(U_7882)) )
| ~ m1_rmod_2(U_7880,U_7883,U_7882)
| ~ v3_vectsp_2(U_7880,U_7883) )
| ~ m1_rmod_2(U_7881,U_7883,U_7882)
| ~ v3_vectsp_2(U_7881,U_7883) )
| ~ l1_vectsp_2(U_7882,U_7883)
| ~ v5_vectsp_2(U_7882,U_7883)
| ~ v6_rlvect_1(U_7882)
| ~ v5_rlvect_1(U_7882)
| ~ v4_rlvect_1(U_7882)
| ~ v3_rlvect_1(U_7882)
| v3_struct_0(U_7882) )
| ~ l3_vectsp_1(U_7883)
| ~ v8_vectsp_1(U_7883)
| ~ v7_vectsp_1(U_7883)
| ~ v6_vectsp_1(U_7883)
| ~ v4_group_1(U_7883)
| ~ v6_rlvect_1(U_7883)
| ~ v5_rlvect_1(U_7883)
| ~ v4_rlvect_1(U_7883)
| ~ v3_rlvect_1(U_7883)
| v3_struct_0(U_7883) ),
inference(variable_rename,[status(thm)],[f_3177_1]) ).
fof(f_3177_3,plain,
! [U_7883] :
( ! [U_7882] :
( ! [U_7881] :
( ! [U_7880] :
( U_7881 = U_7880
| ( ( ( ~ r1_rlvect_1(U_7881,sK942(U_7883,U_7882,U_7881,U_7880))
& r1_rlvect_1(U_7880,sK942(U_7883,U_7882,U_7881,U_7880)) )
| ( ~ r1_rlvect_1(U_7880,sK942(U_7883,U_7882,U_7881,U_7880))
& r1_rlvect_1(U_7881,sK942(U_7883,U_7882,U_7881,U_7880)) ) )
& m1_subset_1(sK942(U_7883,U_7882,U_7881,U_7880),u1_struct_0(U_7882)) )
| ~ m1_rmod_2(U_7880,U_7883,U_7882)
| ~ v3_vectsp_2(U_7880,U_7883) )
| ~ m1_rmod_2(U_7881,U_7883,U_7882)
| ~ v3_vectsp_2(U_7881,U_7883) )
| ~ l1_vectsp_2(U_7882,U_7883)
| ~ v5_vectsp_2(U_7882,U_7883)
| ~ v6_rlvect_1(U_7882)
| ~ v5_rlvect_1(U_7882)
| ~ v4_rlvect_1(U_7882)
| ~ v3_rlvect_1(U_7882)
| v3_struct_0(U_7882) )
| ~ l3_vectsp_1(U_7883)
| ~ v8_vectsp_1(U_7883)
| ~ v7_vectsp_1(U_7883)
| ~ v6_vectsp_1(U_7883)
| ~ v4_group_1(U_7883)
| ~ v6_rlvect_1(U_7883)
| ~ v5_rlvect_1(U_7883)
| ~ v4_rlvect_1(U_7883)
| ~ v3_rlvect_1(U_7883)
| v3_struct_0(U_7883) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK942]),skolemize(U_7879,sK942(U_7883,U_7882,U_7881,U_7880))],[f_3177_2]) ).
fof(f_3177_4,plain,
( ! [U_7880,U_7881,U_7883,U_7882] :
( ~ r1_rlvect_1(U_7881,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1409(U_7880,U_7881,U_7883,U_7882) )
& ! [U_7880,U_7881,U_7883,U_7882] :
( r1_rlvect_1(U_7880,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1409(U_7880,U_7881,U_7883,U_7882) )
& ! [U_7880,U_7881,U_7883,U_7882] :
( ~ r1_rlvect_1(U_7880,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1408(U_7880,U_7881,U_7883,U_7882) )
& ! [U_7880,U_7881,U_7883,U_7882] :
( r1_rlvect_1(U_7881,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1408(U_7880,U_7881,U_7883,U_7882) )
& ! [U_7880,U_7881,U_7883,U_7882] :
( sP1409(U_7880,U_7881,U_7883,U_7882)
| sP1408(U_7880,U_7881,U_7883,U_7882)
| ~ sP1410(U_7880,U_7881,U_7883,U_7882) )
& ! [U_7880,U_7881,U_7883,U_7882] :
( m1_subset_1(sK942(U_7883,U_7882,U_7881,U_7880),u1_struct_0(U_7882))
| ~ sP1410(U_7880,U_7881,U_7883,U_7882) )
& ! [U_7880,U_7881,U_7883,U_7882] :
( U_7881 = U_7880
| sP1410(U_7880,U_7881,U_7883,U_7882)
| ~ m1_rmod_2(U_7880,U_7883,U_7882)
| ~ v3_vectsp_2(U_7880,U_7883)
| ~ m1_rmod_2(U_7881,U_7883,U_7882)
| ~ v3_vectsp_2(U_7881,U_7883)
| ~ l1_vectsp_2(U_7882,U_7883)
| ~ v5_vectsp_2(U_7882,U_7883)
| ~ v6_rlvect_1(U_7882)
| ~ v5_rlvect_1(U_7882)
| ~ v4_rlvect_1(U_7882)
| ~ v3_rlvect_1(U_7882)
| v3_struct_0(U_7882)
| ~ l3_vectsp_1(U_7883)
| ~ v8_vectsp_1(U_7883)
| ~ v7_vectsp_1(U_7883)
| ~ v6_vectsp_1(U_7883)
| ~ v4_group_1(U_7883)
| ~ v6_rlvect_1(U_7883)
| ~ v5_rlvect_1(U_7883)
| ~ v4_rlvect_1(U_7883)
| ~ v3_rlvect_1(U_7883)
| v3_struct_0(U_7883) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1408,sP1409,sP1410])],[f_3177_3]) ).
cnf(f_3177_5,plain,
( U_7881 = U_7880
| sP1410(U_7880,U_7881,U_7883,U_7882)
| ~ m1_rmod_2(U_7880,U_7883,U_7882)
| ~ v3_vectsp_2(U_7880,U_7883)
| ~ m1_rmod_2(U_7881,U_7883,U_7882)
| ~ v3_vectsp_2(U_7881,U_7883)
| ~ l1_vectsp_2(U_7882,U_7883)
| ~ v5_vectsp_2(U_7882,U_7883)
| ~ v6_rlvect_1(U_7882)
| ~ v5_rlvect_1(U_7882)
| ~ v4_rlvect_1(U_7882)
| ~ v3_rlvect_1(U_7882)
| v3_struct_0(U_7882)
| ~ l3_vectsp_1(U_7883)
| ~ v8_vectsp_1(U_7883)
| ~ v7_vectsp_1(U_7883)
| ~ v6_vectsp_1(U_7883)
| ~ v4_group_1(U_7883)
| ~ v6_rlvect_1(U_7883)
| ~ v5_rlvect_1(U_7883)
| ~ v4_rlvect_1(U_7883)
| ~ v3_rlvect_1(U_7883)
| v3_struct_0(U_7883) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
cnf(f_3177_6,plain,
( m1_subset_1(sK942(U_7883,U_7882,U_7881,U_7880),u1_struct_0(U_7882))
| ~ sP1410(U_7880,U_7881,U_7883,U_7882) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
cnf(f_3177_7,plain,
( sP1409(U_7880,U_7881,U_7883,U_7882)
| sP1408(U_7880,U_7881,U_7883,U_7882)
| ~ sP1410(U_7880,U_7881,U_7883,U_7882) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
cnf(f_3177_8,plain,
( r1_rlvect_1(U_7881,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1408(U_7880,U_7881,U_7883,U_7882) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
cnf(f_3177_9,plain,
( ~ r1_rlvect_1(U_7880,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1408(U_7880,U_7881,U_7883,U_7882) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
cnf(f_3177_10,plain,
( r1_rlvect_1(U_7880,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1409(U_7880,U_7881,U_7883,U_7882) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
cnf(f_3177_11,plain,
( ~ r1_rlvect_1(U_7881,sK942(U_7883,U_7882,U_7881,U_7880))
| ~ sP1409(U_7880,U_7881,U_7883,U_7882) ),
inference(clausify,[status(thm)],[f_3177_4]) ).
fof(f_3178_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = B
| u1_struct_0(C) != u1_struct_0(B)
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t39_rmod_2]) ).
fof(f_3178_2,plain,
! [U_7886] :
( ! [U_7885] :
( ! [U_7884] :
( U_7884 = U_7885
| u1_struct_0(U_7884) != u1_struct_0(U_7885)
| ~ m1_rmod_2(U_7884,U_7886,U_7885)
| ~ v3_vectsp_2(U_7884,U_7886) )
| ~ l1_vectsp_2(U_7885,U_7886)
| ~ v5_vectsp_2(U_7885,U_7886)
| ~ v3_vectsp_2(U_7885,U_7886)
| ~ v6_rlvect_1(U_7885)
| ~ v5_rlvect_1(U_7885)
| ~ v4_rlvect_1(U_7885)
| ~ v3_rlvect_1(U_7885)
| v3_struct_0(U_7885) )
| ~ l3_vectsp_1(U_7886)
| ~ v8_vectsp_1(U_7886)
| ~ v7_vectsp_1(U_7886)
| ~ v6_vectsp_1(U_7886)
| ~ v4_group_1(U_7886)
| ~ v6_rlvect_1(U_7886)
| ~ v5_rlvect_1(U_7886)
| ~ v4_rlvect_1(U_7886)
| ~ v3_rlvect_1(U_7886)
| v3_struct_0(U_7886) ),
inference(variable_rename,[status(thm)],[f_3178_1]) ).
fof(f_3178_3,plain,
! [U_7884,U_7885,U_7886] :
( U_7884 = U_7885
| u1_struct_0(U_7884) != u1_struct_0(U_7885)
| ~ m1_rmod_2(U_7884,U_7886,U_7885)
| ~ v3_vectsp_2(U_7884,U_7886)
| ~ l1_vectsp_2(U_7885,U_7886)
| ~ v5_vectsp_2(U_7885,U_7886)
| ~ v3_vectsp_2(U_7885,U_7886)
| ~ v6_rlvect_1(U_7885)
| ~ v5_rlvect_1(U_7885)
| ~ v4_rlvect_1(U_7885)
| ~ v3_rlvect_1(U_7885)
| v3_struct_0(U_7885)
| ~ l3_vectsp_1(U_7886)
| ~ v8_vectsp_1(U_7886)
| ~ v7_vectsp_1(U_7886)
| ~ v6_vectsp_1(U_7886)
| ~ v4_group_1(U_7886)
| ~ v6_rlvect_1(U_7886)
| ~ v5_rlvect_1(U_7886)
| ~ v4_rlvect_1(U_7886)
| ~ v3_rlvect_1(U_7886)
| v3_struct_0(U_7886) ),
inference(definitional_conversion,[status(esa)],[f_3178_2]) ).
cnf(f_3178_4,plain,
( U_7884 = U_7885
| u1_struct_0(U_7884) != u1_struct_0(U_7885)
| ~ m1_rmod_2(U_7884,U_7886,U_7885)
| ~ v3_vectsp_2(U_7884,U_7886)
| ~ l1_vectsp_2(U_7885,U_7886)
| ~ v5_vectsp_2(U_7885,U_7886)
| ~ v3_vectsp_2(U_7885,U_7886)
| ~ v6_rlvect_1(U_7885)
| ~ v5_rlvect_1(U_7885)
| ~ v4_rlvect_1(U_7885)
| ~ v3_rlvect_1(U_7885)
| v3_struct_0(U_7885)
| ~ l3_vectsp_1(U_7886)
| ~ v8_vectsp_1(U_7886)
| ~ v7_vectsp_1(U_7886)
| ~ v6_vectsp_1(U_7886)
| ~ v4_group_1(U_7886)
| ~ v6_rlvect_1(U_7886)
| ~ v5_rlvect_1(U_7886)
| ~ v4_rlvect_1(U_7886)
| ~ v3_rlvect_1(U_7886)
| v3_struct_0(U_7886) ),
inference(clausify,[status(thm)],[f_3178_3]) ).
fof(f_3179_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = B
| ? [D] :
( ~ r1_rlvect_1(C,D)
& m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_rmod_2]) ).
fof(f_3179_2,plain,
! [U_7890] :
( ! [U_7889] :
( ! [U_7888] :
( U_7888 = U_7889
| ? [U_7887] :
( ~ r1_rlvect_1(U_7888,U_7887)
& m1_subset_1(U_7887,u1_struct_0(U_7889)) )
| ~ m1_rmod_2(U_7888,U_7890,U_7889)
| ~ v3_vectsp_2(U_7888,U_7890) )
| ~ l1_vectsp_2(U_7889,U_7890)
| ~ v5_vectsp_2(U_7889,U_7890)
| ~ v3_vectsp_2(U_7889,U_7890)
| ~ v6_rlvect_1(U_7889)
| ~ v5_rlvect_1(U_7889)
| ~ v4_rlvect_1(U_7889)
| ~ v3_rlvect_1(U_7889)
| v3_struct_0(U_7889) )
| ~ l3_vectsp_1(U_7890)
| ~ v8_vectsp_1(U_7890)
| ~ v7_vectsp_1(U_7890)
| ~ v6_vectsp_1(U_7890)
| ~ v4_group_1(U_7890)
| ~ v6_rlvect_1(U_7890)
| ~ v5_rlvect_1(U_7890)
| ~ v4_rlvect_1(U_7890)
| ~ v3_rlvect_1(U_7890)
| v3_struct_0(U_7890) ),
inference(variable_rename,[status(thm)],[f_3179_1]) ).
fof(f_3179_3,plain,
! [U_7890] :
( ! [U_7889] :
( ! [U_7888] :
( U_7888 = U_7889
| ( ~ r1_rlvect_1(U_7888,sK943(U_7890,U_7889,U_7888))
& m1_subset_1(sK943(U_7890,U_7889,U_7888),u1_struct_0(U_7889)) )
| ~ m1_rmod_2(U_7888,U_7890,U_7889)
| ~ v3_vectsp_2(U_7888,U_7890) )
| ~ l1_vectsp_2(U_7889,U_7890)
| ~ v5_vectsp_2(U_7889,U_7890)
| ~ v3_vectsp_2(U_7889,U_7890)
| ~ v6_rlvect_1(U_7889)
| ~ v5_rlvect_1(U_7889)
| ~ v4_rlvect_1(U_7889)
| ~ v3_rlvect_1(U_7889)
| v3_struct_0(U_7889) )
| ~ l3_vectsp_1(U_7890)
| ~ v8_vectsp_1(U_7890)
| ~ v7_vectsp_1(U_7890)
| ~ v6_vectsp_1(U_7890)
| ~ v4_group_1(U_7890)
| ~ v6_rlvect_1(U_7890)
| ~ v5_rlvect_1(U_7890)
| ~ v4_rlvect_1(U_7890)
| ~ v3_rlvect_1(U_7890)
| v3_struct_0(U_7890) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK943]),skolemize(U_7887,sK943(U_7890,U_7889,U_7888))],[f_3179_2]) ).
fof(f_3179_4,plain,
( ! [U_7890,U_7888,U_7889] :
( ~ r1_rlvect_1(U_7888,sK943(U_7890,U_7889,U_7888))
| ~ sP1411(U_7890,U_7888,U_7889) )
& ! [U_7890,U_7888,U_7889] :
( m1_subset_1(sK943(U_7890,U_7889,U_7888),u1_struct_0(U_7889))
| ~ sP1411(U_7890,U_7888,U_7889) )
& ! [U_7890,U_7888,U_7889] :
( U_7888 = U_7889
| sP1411(U_7890,U_7888,U_7889)
| ~ m1_rmod_2(U_7888,U_7890,U_7889)
| ~ v3_vectsp_2(U_7888,U_7890)
| ~ l1_vectsp_2(U_7889,U_7890)
| ~ v5_vectsp_2(U_7889,U_7890)
| ~ v3_vectsp_2(U_7889,U_7890)
| ~ v6_rlvect_1(U_7889)
| ~ v5_rlvect_1(U_7889)
| ~ v4_rlvect_1(U_7889)
| ~ v3_rlvect_1(U_7889)
| v3_struct_0(U_7889)
| ~ l3_vectsp_1(U_7890)
| ~ v8_vectsp_1(U_7890)
| ~ v7_vectsp_1(U_7890)
| ~ v6_vectsp_1(U_7890)
| ~ v4_group_1(U_7890)
| ~ v6_rlvect_1(U_7890)
| ~ v5_rlvect_1(U_7890)
| ~ v4_rlvect_1(U_7890)
| ~ v3_rlvect_1(U_7890)
| v3_struct_0(U_7890) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1411])],[f_3179_3]) ).
cnf(f_3179_5,plain,
( U_7888 = U_7889
| sP1411(U_7890,U_7888,U_7889)
| ~ m1_rmod_2(U_7888,U_7890,U_7889)
| ~ v3_vectsp_2(U_7888,U_7890)
| ~ l1_vectsp_2(U_7889,U_7890)
| ~ v5_vectsp_2(U_7889,U_7890)
| ~ v3_vectsp_2(U_7889,U_7890)
| ~ v6_rlvect_1(U_7889)
| ~ v5_rlvect_1(U_7889)
| ~ v4_rlvect_1(U_7889)
| ~ v3_rlvect_1(U_7889)
| v3_struct_0(U_7889)
| ~ l3_vectsp_1(U_7890)
| ~ v8_vectsp_1(U_7890)
| ~ v7_vectsp_1(U_7890)
| ~ v6_vectsp_1(U_7890)
| ~ v4_group_1(U_7890)
| ~ v6_rlvect_1(U_7890)
| ~ v5_rlvect_1(U_7890)
| ~ v4_rlvect_1(U_7890)
| ~ v3_rlvect_1(U_7890)
| v3_struct_0(U_7890) ),
inference(clausify,[status(thm)],[f_3179_4]) ).
cnf(f_3179_6,plain,
( m1_subset_1(sK943(U_7890,U_7889,U_7888),u1_struct_0(U_7889))
| ~ sP1411(U_7890,U_7888,U_7889) ),
inference(clausify,[status(thm)],[f_3179_4]) ).
cnf(f_3179_7,plain,
( ~ r1_rlvect_1(U_7888,sK943(U_7890,U_7889,U_7888))
| ~ sP1411(U_7890,U_7888,U_7889) ),
inference(clausify,[status(thm)],[f_3179_4]) ).
fof(f_3180_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( v1_rmod_2(C,A,B)
| u1_struct_0(D) != C
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_rmod_2]) ).
fof(f_3180_2,plain,
! [U_7894] :
( ! [U_7893] :
( ! [U_7892] :
( ! [U_7891] :
( v1_rmod_2(U_7892,U_7894,U_7893)
| u1_struct_0(U_7891) != U_7892
| ~ m1_rmod_2(U_7891,U_7894,U_7893) )
| ~ m1_subset_1(U_7892,k1_zfmisc_1(u1_struct_0(U_7893))) )
| ~ l1_vectsp_2(U_7893,U_7894)
| ~ v5_vectsp_2(U_7893,U_7894)
| ~ v6_rlvect_1(U_7893)
| ~ v5_rlvect_1(U_7893)
| ~ v4_rlvect_1(U_7893)
| ~ v3_rlvect_1(U_7893)
| v3_struct_0(U_7893) )
| ~ l3_vectsp_1(U_7894)
| ~ v8_vectsp_1(U_7894)
| ~ v7_vectsp_1(U_7894)
| ~ v6_vectsp_1(U_7894)
| ~ v4_group_1(U_7894)
| ~ v6_rlvect_1(U_7894)
| ~ v5_rlvect_1(U_7894)
| ~ v4_rlvect_1(U_7894)
| ~ v3_rlvect_1(U_7894)
| v3_struct_0(U_7894) ),
inference(variable_rename,[status(thm)],[f_3180_1]) ).
fof(f_3180_3,plain,
! [U_7894,U_7893,U_7891,U_7892] :
( v1_rmod_2(U_7892,U_7894,U_7893)
| u1_struct_0(U_7891) != U_7892
| ~ m1_rmod_2(U_7891,U_7894,U_7893)
| ~ m1_subset_1(U_7892,k1_zfmisc_1(u1_struct_0(U_7893)))
| ~ l1_vectsp_2(U_7893,U_7894)
| ~ v5_vectsp_2(U_7893,U_7894)
| ~ v6_rlvect_1(U_7893)
| ~ v5_rlvect_1(U_7893)
| ~ v4_rlvect_1(U_7893)
| ~ v3_rlvect_1(U_7893)
| v3_struct_0(U_7893)
| ~ l3_vectsp_1(U_7894)
| ~ v8_vectsp_1(U_7894)
| ~ v7_vectsp_1(U_7894)
| ~ v6_vectsp_1(U_7894)
| ~ v4_group_1(U_7894)
| ~ v6_rlvect_1(U_7894)
| ~ v5_rlvect_1(U_7894)
| ~ v4_rlvect_1(U_7894)
| ~ v3_rlvect_1(U_7894)
| v3_struct_0(U_7894) ),
inference(definitional_conversion,[status(esa)],[f_3180_2]) ).
cnf(f_3180_4,plain,
( v1_rmod_2(U_7892,U_7894,U_7893)
| u1_struct_0(U_7891) != U_7892
| ~ m1_rmod_2(U_7891,U_7894,U_7893)
| ~ m1_subset_1(U_7892,k1_zfmisc_1(u1_struct_0(U_7893)))
| ~ l1_vectsp_2(U_7893,U_7894)
| ~ v5_vectsp_2(U_7893,U_7894)
| ~ v6_rlvect_1(U_7893)
| ~ v5_rlvect_1(U_7893)
| ~ v4_rlvect_1(U_7893)
| ~ v3_rlvect_1(U_7893)
| v3_struct_0(U_7893)
| ~ l3_vectsp_1(U_7894)
| ~ v8_vectsp_1(U_7894)
| ~ v7_vectsp_1(U_7894)
| ~ v6_vectsp_1(U_7894)
| ~ v4_group_1(U_7894)
| ~ v6_rlvect_1(U_7894)
| ~ v5_rlvect_1(U_7894)
| ~ v4_rlvect_1(U_7894)
| ~ v3_rlvect_1(U_7894)
| v3_struct_0(U_7894) ),
inference(clausify,[status(thm)],[f_3180_3]) ).
fof(f_3181_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( C = u1_struct_0(D)
& m1_rmod_2(D,A,B)
& v3_vectsp_2(D,A) )
| ~ v1_rmod_2(C,A,B)
| C = k1_xboole_0
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_rmod_2]) ).
fof(f_3181_2,plain,
! [U_7898] :
( ! [U_7897] :
( ! [U_7896] :
( ? [U_7895] :
( U_7896 = u1_struct_0(U_7895)
& m1_rmod_2(U_7895,U_7898,U_7897)
& v3_vectsp_2(U_7895,U_7898) )
| ~ v1_rmod_2(U_7896,U_7898,U_7897)
| U_7896 = k1_xboole_0
| ~ m1_subset_1(U_7896,k1_zfmisc_1(u1_struct_0(U_7897))) )
| ~ l1_vectsp_2(U_7897,U_7898)
| ~ v5_vectsp_2(U_7897,U_7898)
| ~ v6_rlvect_1(U_7897)
| ~ v5_rlvect_1(U_7897)
| ~ v4_rlvect_1(U_7897)
| ~ v3_rlvect_1(U_7897)
| v3_struct_0(U_7897) )
| ~ l3_vectsp_1(U_7898)
| ~ v8_vectsp_1(U_7898)
| ~ v7_vectsp_1(U_7898)
| ~ v6_vectsp_1(U_7898)
| ~ v4_group_1(U_7898)
| ~ v6_rlvect_1(U_7898)
| ~ v5_rlvect_1(U_7898)
| ~ v4_rlvect_1(U_7898)
| ~ v3_rlvect_1(U_7898)
| v3_struct_0(U_7898) ),
inference(variable_rename,[status(thm)],[f_3181_1]) ).
fof(f_3181_3,plain,
! [U_7898] :
( ! [U_7897] :
( ! [U_7896] :
( ( U_7896 = u1_struct_0(sK944(U_7898,U_7897,U_7896))
& m1_rmod_2(sK944(U_7898,U_7897,U_7896),U_7898,U_7897)
& v3_vectsp_2(sK944(U_7898,U_7897,U_7896),U_7898) )
| ~ v1_rmod_2(U_7896,U_7898,U_7897)
| U_7896 = k1_xboole_0
| ~ m1_subset_1(U_7896,k1_zfmisc_1(u1_struct_0(U_7897))) )
| ~ l1_vectsp_2(U_7897,U_7898)
| ~ v5_vectsp_2(U_7897,U_7898)
| ~ v6_rlvect_1(U_7897)
| ~ v5_rlvect_1(U_7897)
| ~ v4_rlvect_1(U_7897)
| ~ v3_rlvect_1(U_7897)
| v3_struct_0(U_7897) )
| ~ l3_vectsp_1(U_7898)
| ~ v8_vectsp_1(U_7898)
| ~ v7_vectsp_1(U_7898)
| ~ v6_vectsp_1(U_7898)
| ~ v4_group_1(U_7898)
| ~ v6_rlvect_1(U_7898)
| ~ v5_rlvect_1(U_7898)
| ~ v4_rlvect_1(U_7898)
| ~ v3_rlvect_1(U_7898)
| v3_struct_0(U_7898) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK944]),skolemize(U_7895,sK944(U_7898,U_7897,U_7896))],[f_3181_2]) ).
fof(f_3181_4,plain,
( ! [U_7896,U_7897,U_7898] :
( U_7896 = u1_struct_0(sK944(U_7898,U_7897,U_7896))
| ~ sP1412(U_7896,U_7897,U_7898) )
& ! [U_7896,U_7897,U_7898] :
( m1_rmod_2(sK944(U_7898,U_7897,U_7896),U_7898,U_7897)
| ~ sP1412(U_7896,U_7897,U_7898) )
& ! [U_7896,U_7897,U_7898] :
( v3_vectsp_2(sK944(U_7898,U_7897,U_7896),U_7898)
| ~ sP1412(U_7896,U_7897,U_7898) )
& ! [U_7896,U_7897,U_7898] :
( sP1412(U_7896,U_7897,U_7898)
| ~ v1_rmod_2(U_7896,U_7898,U_7897)
| U_7896 = k1_xboole_0
| ~ m1_subset_1(U_7896,k1_zfmisc_1(u1_struct_0(U_7897)))
| ~ l1_vectsp_2(U_7897,U_7898)
| ~ v5_vectsp_2(U_7897,U_7898)
| ~ v6_rlvect_1(U_7897)
| ~ v5_rlvect_1(U_7897)
| ~ v4_rlvect_1(U_7897)
| ~ v3_rlvect_1(U_7897)
| v3_struct_0(U_7897)
| ~ l3_vectsp_1(U_7898)
| ~ v8_vectsp_1(U_7898)
| ~ v7_vectsp_1(U_7898)
| ~ v6_vectsp_1(U_7898)
| ~ v4_group_1(U_7898)
| ~ v6_rlvect_1(U_7898)
| ~ v5_rlvect_1(U_7898)
| ~ v4_rlvect_1(U_7898)
| ~ v3_rlvect_1(U_7898)
| v3_struct_0(U_7898) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1412])],[f_3181_3]) ).
cnf(f_3181_5,plain,
( sP1412(U_7896,U_7897,U_7898)
| ~ v1_rmod_2(U_7896,U_7898,U_7897)
| U_7896 = k1_xboole_0
| ~ m1_subset_1(U_7896,k1_zfmisc_1(u1_struct_0(U_7897)))
| ~ l1_vectsp_2(U_7897,U_7898)
| ~ v5_vectsp_2(U_7897,U_7898)
| ~ v6_rlvect_1(U_7897)
| ~ v5_rlvect_1(U_7897)
| ~ v4_rlvect_1(U_7897)
| ~ v3_rlvect_1(U_7897)
| v3_struct_0(U_7897)
| ~ l3_vectsp_1(U_7898)
| ~ v8_vectsp_1(U_7898)
| ~ v7_vectsp_1(U_7898)
| ~ v6_vectsp_1(U_7898)
| ~ v4_group_1(U_7898)
| ~ v6_rlvect_1(U_7898)
| ~ v5_rlvect_1(U_7898)
| ~ v4_rlvect_1(U_7898)
| ~ v3_rlvect_1(U_7898)
| v3_struct_0(U_7898) ),
inference(clausify,[status(thm)],[f_3181_4]) ).
cnf(f_3181_6,plain,
( v3_vectsp_2(sK944(U_7898,U_7897,U_7896),U_7898)
| ~ sP1412(U_7896,U_7897,U_7898) ),
inference(clausify,[status(thm)],[f_3181_4]) ).
cnf(f_3181_7,plain,
( m1_rmod_2(sK944(U_7898,U_7897,U_7896),U_7898,U_7897)
| ~ sP1412(U_7896,U_7897,U_7898) ),
inference(clausify,[status(thm)],[f_3181_4]) ).
cnf(f_3181_8,plain,
( U_7896 = u1_struct_0(sK944(U_7898,U_7897,U_7896))
| ~ sP1412(U_7896,U_7897,U_7898) ),
inference(clausify,[status(thm)],[f_3181_4]) ).
fof(f_3182_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k1_rmod_2(A,B)
| u1_struct_0(C) != k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)) )
& ( u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k1_rlvect_1(B))
| C != k1_rmod_2(A,B) ) )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d3_rmod_2]) ).
fof(f_3182_2,plain,
! [U_7901] :
( ! [U_7900] :
( ! [U_7899] :
( ( ( U_7899 = k1_rmod_2(U_7901,U_7900)
| u1_struct_0(U_7899) != k6_domain_1(u1_struct_0(U_7900),k1_rlvect_1(U_7900)) )
& ( u1_struct_0(U_7899) = k6_domain_1(u1_struct_0(U_7900),k1_rlvect_1(U_7900))
| U_7899 != k1_rmod_2(U_7901,U_7900) ) )
| ~ m1_rmod_2(U_7899,U_7901,U_7900)
| ~ v3_vectsp_2(U_7899,U_7901) )
| ~ l1_vectsp_2(U_7900,U_7901)
| ~ v5_vectsp_2(U_7900,U_7901)
| ~ v6_rlvect_1(U_7900)
| ~ v5_rlvect_1(U_7900)
| ~ v4_rlvect_1(U_7900)
| ~ v3_rlvect_1(U_7900)
| v3_struct_0(U_7900) )
| ~ l3_vectsp_1(U_7901)
| ~ v8_vectsp_1(U_7901)
| ~ v7_vectsp_1(U_7901)
| ~ v6_vectsp_1(U_7901)
| ~ v4_group_1(U_7901)
| ~ v6_rlvect_1(U_7901)
| ~ v5_rlvect_1(U_7901)
| ~ v4_rlvect_1(U_7901)
| ~ v3_rlvect_1(U_7901)
| v3_struct_0(U_7901) ),
inference(variable_rename,[status(thm)],[f_3182_1]) ).
fof(f_3182_3,plain,
( ! [U_7901,U_7899,U_7900] :
( U_7899 = k1_rmod_2(U_7901,U_7900)
| u1_struct_0(U_7899) != k6_domain_1(u1_struct_0(U_7900),k1_rlvect_1(U_7900))
| ~ sP1413(U_7901,U_7899,U_7900) )
& ! [U_7901,U_7899,U_7900] :
( u1_struct_0(U_7899) = k6_domain_1(u1_struct_0(U_7900),k1_rlvect_1(U_7900))
| U_7899 != k1_rmod_2(U_7901,U_7900)
| ~ sP1413(U_7901,U_7899,U_7900) )
& ! [U_7901,U_7899,U_7900] :
( sP1413(U_7901,U_7899,U_7900)
| ~ m1_rmod_2(U_7899,U_7901,U_7900)
| ~ v3_vectsp_2(U_7899,U_7901)
| ~ l1_vectsp_2(U_7900,U_7901)
| ~ v5_vectsp_2(U_7900,U_7901)
| ~ v6_rlvect_1(U_7900)
| ~ v5_rlvect_1(U_7900)
| ~ v4_rlvect_1(U_7900)
| ~ v3_rlvect_1(U_7900)
| v3_struct_0(U_7900)
| ~ l3_vectsp_1(U_7901)
| ~ v8_vectsp_1(U_7901)
| ~ v7_vectsp_1(U_7901)
| ~ v6_vectsp_1(U_7901)
| ~ v4_group_1(U_7901)
| ~ v6_rlvect_1(U_7901)
| ~ v5_rlvect_1(U_7901)
| ~ v4_rlvect_1(U_7901)
| ~ v3_rlvect_1(U_7901)
| v3_struct_0(U_7901) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1413])],[f_3182_2]) ).
cnf(f_3182_4,plain,
( sP1413(U_7901,U_7899,U_7900)
| ~ m1_rmod_2(U_7899,U_7901,U_7900)
| ~ v3_vectsp_2(U_7899,U_7901)
| ~ l1_vectsp_2(U_7900,U_7901)
| ~ v5_vectsp_2(U_7900,U_7901)
| ~ v6_rlvect_1(U_7900)
| ~ v5_rlvect_1(U_7900)
| ~ v4_rlvect_1(U_7900)
| ~ v3_rlvect_1(U_7900)
| v3_struct_0(U_7900)
| ~ l3_vectsp_1(U_7901)
| ~ v8_vectsp_1(U_7901)
| ~ v7_vectsp_1(U_7901)
| ~ v6_vectsp_1(U_7901)
| ~ v4_group_1(U_7901)
| ~ v6_rlvect_1(U_7901)
| ~ v5_rlvect_1(U_7901)
| ~ v4_rlvect_1(U_7901)
| ~ v3_rlvect_1(U_7901)
| v3_struct_0(U_7901) ),
inference(clausify,[status(thm)],[f_3182_3]) ).
cnf(f_3182_5,plain,
( u1_struct_0(U_7899) = k6_domain_1(u1_struct_0(U_7900),k1_rlvect_1(U_7900))
| U_7899 != k1_rmod_2(U_7901,U_7900)
| ~ sP1413(U_7901,U_7899,U_7900) ),
inference(clausify,[status(thm)],[f_3182_3]) ).
cnf(f_3182_6,plain,
( U_7899 = k1_rmod_2(U_7901,U_7900)
| u1_struct_0(U_7899) != k6_domain_1(u1_struct_0(U_7900),k1_rlvect_1(U_7900))
| ~ sP1413(U_7901,U_7899,U_7900) ),
inference(clausify,[status(thm)],[f_3182_3]) ).
fof(f_3183_1,plain,
! [A] :
( ! [B] :
( k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_rmod_2]) ).
fof(f_3183_2,plain,
! [U_7903] :
( ! [U_7902] :
( k2_rmod_2(U_7903,U_7902) = g1_vectsp_2(U_7903,u1_struct_0(U_7902),u1_rlvect_1(U_7902),u2_struct_0(U_7902),u1_vectsp_2(U_7903,U_7902))
| ~ l1_vectsp_2(U_7902,U_7903)
| ~ v5_vectsp_2(U_7902,U_7903)
| ~ v6_rlvect_1(U_7902)
| ~ v5_rlvect_1(U_7902)
| ~ v4_rlvect_1(U_7902)
| ~ v3_rlvect_1(U_7902)
| v3_struct_0(U_7902) )
| ~ l3_vectsp_1(U_7903)
| ~ v8_vectsp_1(U_7903)
| ~ v7_vectsp_1(U_7903)
| ~ v6_vectsp_1(U_7903)
| ~ v4_group_1(U_7903)
| ~ v6_rlvect_1(U_7903)
| ~ v5_rlvect_1(U_7903)
| ~ v4_rlvect_1(U_7903)
| ~ v3_rlvect_1(U_7903)
| v3_struct_0(U_7903) ),
inference(variable_rename,[status(thm)],[f_3183_1]) ).
fof(f_3183_3,plain,
! [U_7902,U_7903] :
( k2_rmod_2(U_7903,U_7902) = g1_vectsp_2(U_7903,u1_struct_0(U_7902),u1_rlvect_1(U_7902),u2_struct_0(U_7902),u1_vectsp_2(U_7903,U_7902))
| ~ l1_vectsp_2(U_7902,U_7903)
| ~ v5_vectsp_2(U_7902,U_7903)
| ~ v6_rlvect_1(U_7902)
| ~ v5_rlvect_1(U_7902)
| ~ v4_rlvect_1(U_7902)
| ~ v3_rlvect_1(U_7902)
| v3_struct_0(U_7902)
| ~ l3_vectsp_1(U_7903)
| ~ v8_vectsp_1(U_7903)
| ~ v7_vectsp_1(U_7903)
| ~ v6_vectsp_1(U_7903)
| ~ v4_group_1(U_7903)
| ~ v6_rlvect_1(U_7903)
| ~ v5_rlvect_1(U_7903)
| ~ v4_rlvect_1(U_7903)
| ~ v3_rlvect_1(U_7903)
| v3_struct_0(U_7903) ),
inference(definitional_conversion,[status(esa)],[f_3183_2]) ).
cnf(f_3183_4,plain,
( k2_rmod_2(U_7903,U_7902) = g1_vectsp_2(U_7903,u1_struct_0(U_7902),u1_rlvect_1(U_7902),u2_struct_0(U_7902),u1_vectsp_2(U_7903,U_7902))
| ~ l1_vectsp_2(U_7902,U_7903)
| ~ v5_vectsp_2(U_7902,U_7903)
| ~ v6_rlvect_1(U_7902)
| ~ v5_rlvect_1(U_7902)
| ~ v4_rlvect_1(U_7902)
| ~ v3_rlvect_1(U_7902)
| v3_struct_0(U_7902)
| ~ l3_vectsp_1(U_7903)
| ~ v8_vectsp_1(U_7903)
| ~ v7_vectsp_1(U_7903)
| ~ v6_vectsp_1(U_7903)
| ~ v4_group_1(U_7903)
| ~ v6_rlvect_1(U_7903)
| ~ v5_rlvect_1(U_7903)
| ~ v4_rlvect_1(U_7903)
| ~ v3_rlvect_1(U_7903)
| v3_struct_0(U_7903) ),
inference(clausify,[status(thm)],[f_3183_3]) ).
fof(f_3184_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t43_rmod_2]) ).
fof(f_3184_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3184_1]) ).
cnf(f_3184_3,plain,
$true,
inference(clausify,[status(thm)],[f_3184_2]) ).
fof(f_3185_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t44_rmod_2]) ).
fof(f_3185_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3185_1]) ).
cnf(f_3185_3,plain,
$true,
inference(clausify,[status(thm)],[f_3185_2]) ).
fof(f_3186_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t45_rmod_2]) ).
fof(f_3186_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3186_1]) ).
cnf(f_3186_3,plain,
$true,
inference(clausify,[status(thm)],[f_3186_2]) ).
fof(f_3187_1,plain,
! [A,B] :
( ! [C] :
( ( ( r1_rlvect_1(k1_rmod_2(B,C),A)
| A != k1_rlvect_1(C) )
& ( A = k1_rlvect_1(C)
| ~ r1_rlvect_1(k1_rmod_2(B,C),A) ) )
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[t46_rmod_2]) ).
fof(f_3187_2,plain,
! [U_7906,U_7905] :
( ! [U_7904] :
( ( ( r1_rlvect_1(k1_rmod_2(U_7905,U_7904),U_7906)
| U_7906 != k1_rlvect_1(U_7904) )
& ( U_7906 = k1_rlvect_1(U_7904)
| ~ r1_rlvect_1(k1_rmod_2(U_7905,U_7904),U_7906) ) )
| ~ l1_vectsp_2(U_7904,U_7905)
| ~ v5_vectsp_2(U_7904,U_7905)
| ~ v6_rlvect_1(U_7904)
| ~ v5_rlvect_1(U_7904)
| ~ v4_rlvect_1(U_7904)
| ~ v3_rlvect_1(U_7904)
| v3_struct_0(U_7904) )
| ~ l3_vectsp_1(U_7905)
| ~ v8_vectsp_1(U_7905)
| ~ v7_vectsp_1(U_7905)
| ~ v6_vectsp_1(U_7905)
| ~ v4_group_1(U_7905)
| ~ v6_rlvect_1(U_7905)
| ~ v5_rlvect_1(U_7905)
| ~ v4_rlvect_1(U_7905)
| ~ v3_rlvect_1(U_7905)
| v3_struct_0(U_7905) ),
inference(variable_rename,[status(thm)],[f_3187_1]) ).
fof(f_3187_3,plain,
( ! [U_7906,U_7905,U_7904] :
( r1_rlvect_1(k1_rmod_2(U_7905,U_7904),U_7906)
| U_7906 != k1_rlvect_1(U_7904)
| ~ sP1414(U_7906,U_7905,U_7904) )
& ! [U_7906,U_7905,U_7904] :
( U_7906 = k1_rlvect_1(U_7904)
| ~ r1_rlvect_1(k1_rmod_2(U_7905,U_7904),U_7906)
| ~ sP1414(U_7906,U_7905,U_7904) )
& ! [U_7906,U_7905,U_7904] :
( sP1414(U_7906,U_7905,U_7904)
| ~ l1_vectsp_2(U_7904,U_7905)
| ~ v5_vectsp_2(U_7904,U_7905)
| ~ v6_rlvect_1(U_7904)
| ~ v5_rlvect_1(U_7904)
| ~ v4_rlvect_1(U_7904)
| ~ v3_rlvect_1(U_7904)
| v3_struct_0(U_7904)
| ~ l3_vectsp_1(U_7905)
| ~ v8_vectsp_1(U_7905)
| ~ v7_vectsp_1(U_7905)
| ~ v6_vectsp_1(U_7905)
| ~ v4_group_1(U_7905)
| ~ v6_rlvect_1(U_7905)
| ~ v5_rlvect_1(U_7905)
| ~ v4_rlvect_1(U_7905)
| ~ v3_rlvect_1(U_7905)
| v3_struct_0(U_7905) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1414])],[f_3187_2]) ).
cnf(f_3187_4,plain,
( sP1414(U_7906,U_7905,U_7904)
| ~ l1_vectsp_2(U_7904,U_7905)
| ~ v5_vectsp_2(U_7904,U_7905)
| ~ v6_rlvect_1(U_7904)
| ~ v5_rlvect_1(U_7904)
| ~ v4_rlvect_1(U_7904)
| ~ v3_rlvect_1(U_7904)
| v3_struct_0(U_7904)
| ~ l3_vectsp_1(U_7905)
| ~ v8_vectsp_1(U_7905)
| ~ v7_vectsp_1(U_7905)
| ~ v6_vectsp_1(U_7905)
| ~ v4_group_1(U_7905)
| ~ v6_rlvect_1(U_7905)
| ~ v5_rlvect_1(U_7905)
| ~ v4_rlvect_1(U_7905)
| ~ v3_rlvect_1(U_7905)
| v3_struct_0(U_7905) ),
inference(clausify,[status(thm)],[f_3187_3]) ).
cnf(f_3187_5,plain,
( U_7906 = k1_rlvect_1(U_7904)
| ~ r1_rlvect_1(k1_rmod_2(U_7905,U_7904),U_7906)
| ~ sP1414(U_7906,U_7905,U_7904) ),
inference(clausify,[status(thm)],[f_3187_3]) ).
cnf(f_3187_6,plain,
( r1_rlvect_1(k1_rmod_2(U_7905,U_7904),U_7906)
| U_7906 != k1_rlvect_1(U_7904)
| ~ sP1414(U_7906,U_7905,U_7904) ),
inference(clausify,[status(thm)],[f_3187_3]) ).
fof(f_3188_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_rmod_2(A,C) = k1_rmod_2(A,B)
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_rmod_2]) ).
fof(f_3188_2,plain,
! [U_7909] :
( ! [U_7908] :
( ! [U_7907] :
( k1_rmod_2(U_7909,U_7907) = k1_rmod_2(U_7909,U_7908)
| ~ m1_rmod_2(U_7907,U_7909,U_7908) )
| ~ l1_vectsp_2(U_7908,U_7909)
| ~ v5_vectsp_2(U_7908,U_7909)
| ~ v6_rlvect_1(U_7908)
| ~ v5_rlvect_1(U_7908)
| ~ v4_rlvect_1(U_7908)
| ~ v3_rlvect_1(U_7908)
| v3_struct_0(U_7908) )
| ~ l3_vectsp_1(U_7909)
| ~ v8_vectsp_1(U_7909)
| ~ v7_vectsp_1(U_7909)
| ~ v6_vectsp_1(U_7909)
| ~ v4_group_1(U_7909)
| ~ v6_rlvect_1(U_7909)
| ~ v5_rlvect_1(U_7909)
| ~ v4_rlvect_1(U_7909)
| ~ v3_rlvect_1(U_7909)
| v3_struct_0(U_7909) ),
inference(variable_rename,[status(thm)],[f_3188_1]) ).
fof(f_3188_3,plain,
! [U_7908,U_7907,U_7909] :
( k1_rmod_2(U_7909,U_7907) = k1_rmod_2(U_7909,U_7908)
| ~ m1_rmod_2(U_7907,U_7909,U_7908)
| ~ l1_vectsp_2(U_7908,U_7909)
| ~ v5_vectsp_2(U_7908,U_7909)
| ~ v6_rlvect_1(U_7908)
| ~ v5_rlvect_1(U_7908)
| ~ v4_rlvect_1(U_7908)
| ~ v3_rlvect_1(U_7908)
| v3_struct_0(U_7908)
| ~ l3_vectsp_1(U_7909)
| ~ v8_vectsp_1(U_7909)
| ~ v7_vectsp_1(U_7909)
| ~ v6_vectsp_1(U_7909)
| ~ v4_group_1(U_7909)
| ~ v6_rlvect_1(U_7909)
| ~ v5_rlvect_1(U_7909)
| ~ v4_rlvect_1(U_7909)
| ~ v3_rlvect_1(U_7909)
| v3_struct_0(U_7909) ),
inference(definitional_conversion,[status(esa)],[f_3188_2]) ).
cnf(f_3188_4,plain,
( k1_rmod_2(U_7909,U_7907) = k1_rmod_2(U_7909,U_7908)
| ~ m1_rmod_2(U_7907,U_7909,U_7908)
| ~ l1_vectsp_2(U_7908,U_7909)
| ~ v5_vectsp_2(U_7908,U_7909)
| ~ v6_rlvect_1(U_7908)
| ~ v5_rlvect_1(U_7908)
| ~ v4_rlvect_1(U_7908)
| ~ v3_rlvect_1(U_7908)
| v3_struct_0(U_7908)
| ~ l3_vectsp_1(U_7909)
| ~ v8_vectsp_1(U_7909)
| ~ v7_vectsp_1(U_7909)
| ~ v6_vectsp_1(U_7909)
| ~ v4_group_1(U_7909)
| ~ v6_rlvect_1(U_7909)
| ~ v5_rlvect_1(U_7909)
| ~ v4_rlvect_1(U_7909)
| ~ v3_rlvect_1(U_7909)
| v3_struct_0(U_7909) ),
inference(clausify,[status(thm)],[f_3188_3]) ).
fof(f_3189_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_2(A,C) = k1_rmod_2(A,D)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t48_rmod_2]) ).
fof(f_3189_2,plain,
! [U_7913] :
( ! [U_7912] :
( ! [U_7911] :
( ! [U_7910] :
( k1_rmod_2(U_7913,U_7911) = k1_rmod_2(U_7913,U_7910)
| ~ m1_rmod_2(U_7910,U_7913,U_7912) )
| ~ m1_rmod_2(U_7911,U_7913,U_7912) )
| ~ l1_vectsp_2(U_7912,U_7913)
| ~ v5_vectsp_2(U_7912,U_7913)
| ~ v6_rlvect_1(U_7912)
| ~ v5_rlvect_1(U_7912)
| ~ v4_rlvect_1(U_7912)
| ~ v3_rlvect_1(U_7912)
| v3_struct_0(U_7912) )
| ~ l3_vectsp_1(U_7913)
| ~ v8_vectsp_1(U_7913)
| ~ v7_vectsp_1(U_7913)
| ~ v6_vectsp_1(U_7913)
| ~ v4_group_1(U_7913)
| ~ v6_rlvect_1(U_7913)
| ~ v5_rlvect_1(U_7913)
| ~ v4_rlvect_1(U_7913)
| ~ v3_rlvect_1(U_7913)
| v3_struct_0(U_7913) ),
inference(variable_rename,[status(thm)],[f_3189_1]) ).
fof(f_3189_3,plain,
! [U_7911,U_7913,U_7912,U_7910] :
( k1_rmod_2(U_7913,U_7911) = k1_rmod_2(U_7913,U_7910)
| ~ m1_rmod_2(U_7910,U_7913,U_7912)
| ~ m1_rmod_2(U_7911,U_7913,U_7912)
| ~ l1_vectsp_2(U_7912,U_7913)
| ~ v5_vectsp_2(U_7912,U_7913)
| ~ v6_rlvect_1(U_7912)
| ~ v5_rlvect_1(U_7912)
| ~ v4_rlvect_1(U_7912)
| ~ v3_rlvect_1(U_7912)
| v3_struct_0(U_7912)
| ~ l3_vectsp_1(U_7913)
| ~ v8_vectsp_1(U_7913)
| ~ v7_vectsp_1(U_7913)
| ~ v6_vectsp_1(U_7913)
| ~ v4_group_1(U_7913)
| ~ v6_rlvect_1(U_7913)
| ~ v5_rlvect_1(U_7913)
| ~ v4_rlvect_1(U_7913)
| ~ v3_rlvect_1(U_7913)
| v3_struct_0(U_7913) ),
inference(definitional_conversion,[status(esa)],[f_3189_2]) ).
cnf(f_3189_4,plain,
( k1_rmod_2(U_7913,U_7911) = k1_rmod_2(U_7913,U_7910)
| ~ m1_rmod_2(U_7910,U_7913,U_7912)
| ~ m1_rmod_2(U_7911,U_7913,U_7912)
| ~ l1_vectsp_2(U_7912,U_7913)
| ~ v5_vectsp_2(U_7912,U_7913)
| ~ v6_rlvect_1(U_7912)
| ~ v5_rlvect_1(U_7912)
| ~ v4_rlvect_1(U_7912)
| ~ v3_rlvect_1(U_7912)
| v3_struct_0(U_7912)
| ~ l3_vectsp_1(U_7913)
| ~ v8_vectsp_1(U_7913)
| ~ v7_vectsp_1(U_7913)
| ~ v6_vectsp_1(U_7913)
| ~ v4_group_1(U_7913)
| ~ v6_rlvect_1(U_7913)
| ~ v5_rlvect_1(U_7913)
| ~ v4_rlvect_1(U_7913)
| ~ v3_rlvect_1(U_7913)
| v3_struct_0(U_7913) ),
inference(clausify,[status(thm)],[f_3189_3]) ).
fof(f_3190_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_rmod_2(k1_rmod_2(A,C),A,B)
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t49_rmod_2]) ).
fof(f_3190_2,plain,
! [U_7916] :
( ! [U_7915] :
( ! [U_7914] :
( m1_rmod_2(k1_rmod_2(U_7916,U_7914),U_7916,U_7915)
| ~ m1_rmod_2(U_7914,U_7916,U_7915) )
| ~ l1_vectsp_2(U_7915,U_7916)
| ~ v5_vectsp_2(U_7915,U_7916)
| ~ v6_rlvect_1(U_7915)
| ~ v5_rlvect_1(U_7915)
| ~ v4_rlvect_1(U_7915)
| ~ v3_rlvect_1(U_7915)
| v3_struct_0(U_7915) )
| ~ l3_vectsp_1(U_7916)
| ~ v8_vectsp_1(U_7916)
| ~ v7_vectsp_1(U_7916)
| ~ v6_vectsp_1(U_7916)
| ~ v4_group_1(U_7916)
| ~ v6_rlvect_1(U_7916)
| ~ v5_rlvect_1(U_7916)
| ~ v4_rlvect_1(U_7916)
| ~ v3_rlvect_1(U_7916)
| v3_struct_0(U_7916) ),
inference(variable_rename,[status(thm)],[f_3190_1]) ).
fof(f_3190_3,plain,
! [U_7914,U_7916,U_7915] :
( m1_rmod_2(k1_rmod_2(U_7916,U_7914),U_7916,U_7915)
| ~ m1_rmod_2(U_7914,U_7916,U_7915)
| ~ l1_vectsp_2(U_7915,U_7916)
| ~ v5_vectsp_2(U_7915,U_7916)
| ~ v6_rlvect_1(U_7915)
| ~ v5_rlvect_1(U_7915)
| ~ v4_rlvect_1(U_7915)
| ~ v3_rlvect_1(U_7915)
| v3_struct_0(U_7915)
| ~ l3_vectsp_1(U_7916)
| ~ v8_vectsp_1(U_7916)
| ~ v7_vectsp_1(U_7916)
| ~ v6_vectsp_1(U_7916)
| ~ v4_group_1(U_7916)
| ~ v6_rlvect_1(U_7916)
| ~ v5_rlvect_1(U_7916)
| ~ v4_rlvect_1(U_7916)
| ~ v3_rlvect_1(U_7916)
| v3_struct_0(U_7916) ),
inference(definitional_conversion,[status(esa)],[f_3190_2]) ).
cnf(f_3190_4,plain,
( m1_rmod_2(k1_rmod_2(U_7916,U_7914),U_7916,U_7915)
| ~ m1_rmod_2(U_7914,U_7916,U_7915)
| ~ l1_vectsp_2(U_7915,U_7916)
| ~ v5_vectsp_2(U_7915,U_7916)
| ~ v6_rlvect_1(U_7915)
| ~ v5_rlvect_1(U_7915)
| ~ v4_rlvect_1(U_7915)
| ~ v3_rlvect_1(U_7915)
| v3_struct_0(U_7915)
| ~ l3_vectsp_1(U_7916)
| ~ v8_vectsp_1(U_7916)
| ~ v7_vectsp_1(U_7916)
| ~ v6_vectsp_1(U_7916)
| ~ v4_group_1(U_7916)
| ~ v6_rlvect_1(U_7916)
| ~ v5_rlvect_1(U_7916)
| ~ v4_rlvect_1(U_7916)
| ~ v3_rlvect_1(U_7916)
| v3_struct_0(U_7916) ),
inference(clausify,[status(thm)],[f_3190_3]) ).
fof(f_3191_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m1_rmod_2(k1_rmod_2(A,B),A,C)
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t50_rmod_2]) ).
fof(f_3191_2,plain,
! [U_7919] :
( ! [U_7918] :
( ! [U_7917] :
( m1_rmod_2(k1_rmod_2(U_7919,U_7918),U_7919,U_7917)
| ~ m1_rmod_2(U_7917,U_7919,U_7918) )
| ~ l1_vectsp_2(U_7918,U_7919)
| ~ v5_vectsp_2(U_7918,U_7919)
| ~ v6_rlvect_1(U_7918)
| ~ v5_rlvect_1(U_7918)
| ~ v4_rlvect_1(U_7918)
| ~ v3_rlvect_1(U_7918)
| v3_struct_0(U_7918) )
| ~ l3_vectsp_1(U_7919)
| ~ v8_vectsp_1(U_7919)
| ~ v7_vectsp_1(U_7919)
| ~ v6_vectsp_1(U_7919)
| ~ v4_group_1(U_7919)
| ~ v6_rlvect_1(U_7919)
| ~ v5_rlvect_1(U_7919)
| ~ v4_rlvect_1(U_7919)
| ~ v3_rlvect_1(U_7919)
| v3_struct_0(U_7919) ),
inference(variable_rename,[status(thm)],[f_3191_1]) ).
fof(f_3191_3,plain,
! [U_7918,U_7917,U_7919] :
( m1_rmod_2(k1_rmod_2(U_7919,U_7918),U_7919,U_7917)
| ~ m1_rmod_2(U_7917,U_7919,U_7918)
| ~ l1_vectsp_2(U_7918,U_7919)
| ~ v5_vectsp_2(U_7918,U_7919)
| ~ v6_rlvect_1(U_7918)
| ~ v5_rlvect_1(U_7918)
| ~ v4_rlvect_1(U_7918)
| ~ v3_rlvect_1(U_7918)
| v3_struct_0(U_7918)
| ~ l3_vectsp_1(U_7919)
| ~ v8_vectsp_1(U_7919)
| ~ v7_vectsp_1(U_7919)
| ~ v6_vectsp_1(U_7919)
| ~ v4_group_1(U_7919)
| ~ v6_rlvect_1(U_7919)
| ~ v5_rlvect_1(U_7919)
| ~ v4_rlvect_1(U_7919)
| ~ v3_rlvect_1(U_7919)
| v3_struct_0(U_7919) ),
inference(definitional_conversion,[status(esa)],[f_3191_2]) ).
cnf(f_3191_4,plain,
( m1_rmod_2(k1_rmod_2(U_7919,U_7918),U_7919,U_7917)
| ~ m1_rmod_2(U_7917,U_7919,U_7918)
| ~ l1_vectsp_2(U_7918,U_7919)
| ~ v5_vectsp_2(U_7918,U_7919)
| ~ v6_rlvect_1(U_7918)
| ~ v5_rlvect_1(U_7918)
| ~ v4_rlvect_1(U_7918)
| ~ v3_rlvect_1(U_7918)
| v3_struct_0(U_7918)
| ~ l3_vectsp_1(U_7919)
| ~ v8_vectsp_1(U_7919)
| ~ v7_vectsp_1(U_7919)
| ~ v6_vectsp_1(U_7919)
| ~ v4_group_1(U_7919)
| ~ v6_rlvect_1(U_7919)
| ~ v5_rlvect_1(U_7919)
| ~ v4_rlvect_1(U_7919)
| ~ v3_rlvect_1(U_7919)
| v3_struct_0(U_7919) ),
inference(clausify,[status(thm)],[f_3191_3]) ).
fof(f_3192_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_rmod_2(k1_rmod_2(A,C),A,D)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t51_rmod_2]) ).
fof(f_3192_2,plain,
! [U_7923] :
( ! [U_7922] :
( ! [U_7921] :
( ! [U_7920] :
( m1_rmod_2(k1_rmod_2(U_7923,U_7921),U_7923,U_7920)
| ~ m1_rmod_2(U_7920,U_7923,U_7922) )
| ~ m1_rmod_2(U_7921,U_7923,U_7922) )
| ~ l1_vectsp_2(U_7922,U_7923)
| ~ v5_vectsp_2(U_7922,U_7923)
| ~ v6_rlvect_1(U_7922)
| ~ v5_rlvect_1(U_7922)
| ~ v4_rlvect_1(U_7922)
| ~ v3_rlvect_1(U_7922)
| v3_struct_0(U_7922) )
| ~ l3_vectsp_1(U_7923)
| ~ v8_vectsp_1(U_7923)
| ~ v7_vectsp_1(U_7923)
| ~ v6_vectsp_1(U_7923)
| ~ v4_group_1(U_7923)
| ~ v6_rlvect_1(U_7923)
| ~ v5_rlvect_1(U_7923)
| ~ v4_rlvect_1(U_7923)
| ~ v3_rlvect_1(U_7923)
| v3_struct_0(U_7923) ),
inference(variable_rename,[status(thm)],[f_3192_1]) ).
fof(f_3192_3,plain,
! [U_7921,U_7922,U_7923,U_7920] :
( m1_rmod_2(k1_rmod_2(U_7923,U_7921),U_7923,U_7920)
| ~ m1_rmod_2(U_7920,U_7923,U_7922)
| ~ m1_rmod_2(U_7921,U_7923,U_7922)
| ~ l1_vectsp_2(U_7922,U_7923)
| ~ v5_vectsp_2(U_7922,U_7923)
| ~ v6_rlvect_1(U_7922)
| ~ v5_rlvect_1(U_7922)
| ~ v4_rlvect_1(U_7922)
| ~ v3_rlvect_1(U_7922)
| v3_struct_0(U_7922)
| ~ l3_vectsp_1(U_7923)
| ~ v8_vectsp_1(U_7923)
| ~ v7_vectsp_1(U_7923)
| ~ v6_vectsp_1(U_7923)
| ~ v4_group_1(U_7923)
| ~ v6_rlvect_1(U_7923)
| ~ v5_rlvect_1(U_7923)
| ~ v4_rlvect_1(U_7923)
| ~ v3_rlvect_1(U_7923)
| v3_struct_0(U_7923) ),
inference(definitional_conversion,[status(esa)],[f_3192_2]) ).
cnf(f_3192_4,plain,
( m1_rmod_2(k1_rmod_2(U_7923,U_7921),U_7923,U_7920)
| ~ m1_rmod_2(U_7920,U_7923,U_7922)
| ~ m1_rmod_2(U_7921,U_7923,U_7922)
| ~ l1_vectsp_2(U_7922,U_7923)
| ~ v5_vectsp_2(U_7922,U_7923)
| ~ v6_rlvect_1(U_7922)
| ~ v5_rlvect_1(U_7922)
| ~ v4_rlvect_1(U_7922)
| ~ v3_rlvect_1(U_7922)
| v3_struct_0(U_7922)
| ~ l3_vectsp_1(U_7923)
| ~ v8_vectsp_1(U_7923)
| ~ v7_vectsp_1(U_7923)
| ~ v6_vectsp_1(U_7923)
| ~ v4_group_1(U_7923)
| ~ v6_rlvect_1(U_7923)
| ~ v5_rlvect_1(U_7923)
| ~ v4_rlvect_1(U_7923)
| ~ v3_rlvect_1(U_7923)
| v3_struct_0(U_7923) ),
inference(clausify,[status(thm)],[f_3192_3]) ).
fof(f_3193_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t52_rmod_2]) ).
fof(f_3193_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3193_1]) ).
cnf(f_3193_3,plain,
$true,
inference(clausify,[status(thm)],[f_3193_2]) ).
fof(f_3194_1,plain,
! [A] :
( ! [B] :
( m1_rmod_2(B,A,k2_rmod_2(A,B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t53_rmod_2]) ).
fof(f_3194_2,plain,
! [U_7925] :
( ! [U_7924] :
( m1_rmod_2(U_7924,U_7925,k2_rmod_2(U_7925,U_7924))
| ~ l1_vectsp_2(U_7924,U_7925)
| ~ v5_vectsp_2(U_7924,U_7925)
| ~ v3_vectsp_2(U_7924,U_7925)
| ~ v6_rlvect_1(U_7924)
| ~ v5_rlvect_1(U_7924)
| ~ v4_rlvect_1(U_7924)
| ~ v3_rlvect_1(U_7924)
| v3_struct_0(U_7924) )
| ~ l3_vectsp_1(U_7925)
| ~ v8_vectsp_1(U_7925)
| ~ v7_vectsp_1(U_7925)
| ~ v6_vectsp_1(U_7925)
| ~ v4_group_1(U_7925)
| ~ v6_rlvect_1(U_7925)
| ~ v5_rlvect_1(U_7925)
| ~ v4_rlvect_1(U_7925)
| ~ v3_rlvect_1(U_7925)
| v3_struct_0(U_7925) ),
inference(variable_rename,[status(thm)],[f_3194_1]) ).
fof(f_3194_3,plain,
! [U_7925,U_7924] :
( m1_rmod_2(U_7924,U_7925,k2_rmod_2(U_7925,U_7924))
| ~ l1_vectsp_2(U_7924,U_7925)
| ~ v5_vectsp_2(U_7924,U_7925)
| ~ v3_vectsp_2(U_7924,U_7925)
| ~ v6_rlvect_1(U_7924)
| ~ v5_rlvect_1(U_7924)
| ~ v4_rlvect_1(U_7924)
| ~ v3_rlvect_1(U_7924)
| v3_struct_0(U_7924)
| ~ l3_vectsp_1(U_7925)
| ~ v8_vectsp_1(U_7925)
| ~ v7_vectsp_1(U_7925)
| ~ v6_vectsp_1(U_7925)
| ~ v4_group_1(U_7925)
| ~ v6_rlvect_1(U_7925)
| ~ v5_rlvect_1(U_7925)
| ~ v4_rlvect_1(U_7925)
| ~ v3_rlvect_1(U_7925)
| v3_struct_0(U_7925) ),
inference(definitional_conversion,[status(esa)],[f_3194_2]) ).
cnf(f_3194_4,plain,
( m1_rmod_2(U_7924,U_7925,k2_rmod_2(U_7925,U_7924))
| ~ l1_vectsp_2(U_7924,U_7925)
| ~ v5_vectsp_2(U_7924,U_7925)
| ~ v3_vectsp_2(U_7924,U_7925)
| ~ v6_rlvect_1(U_7924)
| ~ v5_rlvect_1(U_7924)
| ~ v4_rlvect_1(U_7924)
| ~ v3_rlvect_1(U_7924)
| v3_struct_0(U_7924)
| ~ l3_vectsp_1(U_7925)
| ~ v8_vectsp_1(U_7925)
| ~ v7_vectsp_1(U_7925)
| ~ v6_vectsp_1(U_7925)
| ~ v4_group_1(U_7925)
| ~ v6_rlvect_1(U_7925)
| ~ v5_rlvect_1(U_7925)
| ~ v4_rlvect_1(U_7925)
| ~ v3_rlvect_1(U_7925)
| v3_struct_0(U_7925) ),
inference(clausify,[status(thm)],[f_3194_3]) ).
fof(f_3195_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( m2_rmod_2(D,A,B,C)
| ! [E] :
( D != k3_rmod_2(A,B,E,C)
| ~ m1_subset_1(E,u1_struct_0(B)) ) )
& ( ? [E] :
( D = k3_rmod_2(A,B,E,C)
& m1_subset_1(E,u1_struct_0(B)) )
| ~ m2_rmod_2(D,A,B,C) ) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_rmod_2]) ).
fof(f_3195_2,plain,
! [U_7931] :
( ! [U_7930] :
( ! [U_7929] :
( ! [U_7928] :
( ( ( m2_rmod_2(U_7928,U_7931,U_7930,U_7929)
| ! [U_7927] :
( U_7928 != k3_rmod_2(U_7931,U_7930,U_7927,U_7929)
| ~ m1_subset_1(U_7927,u1_struct_0(U_7930)) ) )
& ( ? [U_7926] :
( U_7928 = k3_rmod_2(U_7931,U_7930,U_7926,U_7929)
& m1_subset_1(U_7926,u1_struct_0(U_7930)) )
| ~ m2_rmod_2(U_7928,U_7931,U_7930,U_7929) ) )
| ~ m1_subset_1(U_7928,k1_zfmisc_1(u1_struct_0(U_7930))) )
| ~ m1_rmod_2(U_7929,U_7931,U_7930) )
| ~ l1_vectsp_2(U_7930,U_7931)
| ~ v5_vectsp_2(U_7930,U_7931)
| ~ v6_rlvect_1(U_7930)
| ~ v5_rlvect_1(U_7930)
| ~ v4_rlvect_1(U_7930)
| ~ v3_rlvect_1(U_7930)
| v3_struct_0(U_7930) )
| ~ l3_vectsp_1(U_7931)
| ~ v8_vectsp_1(U_7931)
| ~ v7_vectsp_1(U_7931)
| ~ v6_vectsp_1(U_7931)
| ~ v4_group_1(U_7931)
| ~ v6_rlvect_1(U_7931)
| ~ v5_rlvect_1(U_7931)
| ~ v4_rlvect_1(U_7931)
| ~ v3_rlvect_1(U_7931)
| v3_struct_0(U_7931) ),
inference(variable_rename,[status(thm)],[f_3195_1]) ).
fof(f_3195_3,plain,
! [U_7931] :
( ! [U_7930] :
( ! [U_7929] :
( ! [U_7928] :
( ( ( m2_rmod_2(U_7928,U_7931,U_7930,U_7929)
| ! [U_7927] :
( U_7928 != k3_rmod_2(U_7931,U_7930,U_7927,U_7929)
| ~ m1_subset_1(U_7927,u1_struct_0(U_7930)) ) )
& ( ( U_7928 = k3_rmod_2(U_7931,U_7930,sK945(U_7931,U_7930,U_7929,U_7928),U_7929)
& m1_subset_1(sK945(U_7931,U_7930,U_7929,U_7928),u1_struct_0(U_7930)) )
| ~ m2_rmod_2(U_7928,U_7931,U_7930,U_7929) ) )
| ~ m1_subset_1(U_7928,k1_zfmisc_1(u1_struct_0(U_7930))) )
| ~ m1_rmod_2(U_7929,U_7931,U_7930) )
| ~ l1_vectsp_2(U_7930,U_7931)
| ~ v5_vectsp_2(U_7930,U_7931)
| ~ v6_rlvect_1(U_7930)
| ~ v5_rlvect_1(U_7930)
| ~ v4_rlvect_1(U_7930)
| ~ v3_rlvect_1(U_7930)
| v3_struct_0(U_7930) )
| ~ l3_vectsp_1(U_7931)
| ~ v8_vectsp_1(U_7931)
| ~ v7_vectsp_1(U_7931)
| ~ v6_vectsp_1(U_7931)
| ~ v4_group_1(U_7931)
| ~ v6_rlvect_1(U_7931)
| ~ v5_rlvect_1(U_7931)
| ~ v4_rlvect_1(U_7931)
| ~ v3_rlvect_1(U_7931)
| v3_struct_0(U_7931) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK945]),skolemize(U_7926,sK945(U_7931,U_7930,U_7929,U_7928))],[f_3195_2]) ).
fof(f_3195_4,plain,
( ! [U_7928,U_7931,U_7929,U_7930] :
( U_7928 = k3_rmod_2(U_7931,U_7930,sK945(U_7931,U_7930,U_7929,U_7928),U_7929)
| ~ sP1415(U_7928,U_7931,U_7929,U_7930) )
& ! [U_7928,U_7931,U_7929,U_7930] :
( m1_subset_1(sK945(U_7931,U_7930,U_7929,U_7928),u1_struct_0(U_7930))
| ~ sP1415(U_7928,U_7931,U_7929,U_7930) )
& ! [U_7928,U_7931,U_7929,U_7930,U_7927] :
( m2_rmod_2(U_7928,U_7931,U_7930,U_7929)
| U_7928 != k3_rmod_2(U_7931,U_7930,U_7927,U_7929)
| ~ m1_subset_1(U_7927,u1_struct_0(U_7930))
| ~ sP1416(U_7928,U_7931,U_7929,U_7930,U_7927) )
& ! [U_7928,U_7931,U_7929,U_7930,U_7927] :
( sP1415(U_7928,U_7931,U_7929,U_7930)
| ~ m2_rmod_2(U_7928,U_7931,U_7930,U_7929)
| ~ sP1416(U_7928,U_7931,U_7929,U_7930,U_7927) )
& ! [U_7928,U_7931,U_7929,U_7930,U_7927] :
( sP1416(U_7928,U_7931,U_7929,U_7930,U_7927)
| ~ m1_subset_1(U_7928,k1_zfmisc_1(u1_struct_0(U_7930)))
| ~ m1_rmod_2(U_7929,U_7931,U_7930)
| ~ l1_vectsp_2(U_7930,U_7931)
| ~ v5_vectsp_2(U_7930,U_7931)
| ~ v6_rlvect_1(U_7930)
| ~ v5_rlvect_1(U_7930)
| ~ v4_rlvect_1(U_7930)
| ~ v3_rlvect_1(U_7930)
| v3_struct_0(U_7930)
| ~ l3_vectsp_1(U_7931)
| ~ v8_vectsp_1(U_7931)
| ~ v7_vectsp_1(U_7931)
| ~ v6_vectsp_1(U_7931)
| ~ v4_group_1(U_7931)
| ~ v6_rlvect_1(U_7931)
| ~ v5_rlvect_1(U_7931)
| ~ v4_rlvect_1(U_7931)
| ~ v3_rlvect_1(U_7931)
| v3_struct_0(U_7931) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1415,sP1416])],[f_3195_3]) ).
cnf(f_3195_5,plain,
( sP1416(U_7928,U_7931,U_7929,U_7930,U_7927)
| ~ m1_subset_1(U_7928,k1_zfmisc_1(u1_struct_0(U_7930)))
| ~ m1_rmod_2(U_7929,U_7931,U_7930)
| ~ l1_vectsp_2(U_7930,U_7931)
| ~ v5_vectsp_2(U_7930,U_7931)
| ~ v6_rlvect_1(U_7930)
| ~ v5_rlvect_1(U_7930)
| ~ v4_rlvect_1(U_7930)
| ~ v3_rlvect_1(U_7930)
| v3_struct_0(U_7930)
| ~ l3_vectsp_1(U_7931)
| ~ v8_vectsp_1(U_7931)
| ~ v7_vectsp_1(U_7931)
| ~ v6_vectsp_1(U_7931)
| ~ v4_group_1(U_7931)
| ~ v6_rlvect_1(U_7931)
| ~ v5_rlvect_1(U_7931)
| ~ v4_rlvect_1(U_7931)
| ~ v3_rlvect_1(U_7931)
| v3_struct_0(U_7931) ),
inference(clausify,[status(thm)],[f_3195_4]) ).
cnf(f_3195_6,plain,
( sP1415(U_7928,U_7931,U_7929,U_7930)
| ~ m2_rmod_2(U_7928,U_7931,U_7930,U_7929)
| ~ sP1416(U_7928,U_7931,U_7929,U_7930,U_7927) ),
inference(clausify,[status(thm)],[f_3195_4]) ).
cnf(f_3195_7,plain,
( m2_rmod_2(U_7928,U_7931,U_7930,U_7929)
| U_7928 != k3_rmod_2(U_7931,U_7930,U_7927,U_7929)
| ~ m1_subset_1(U_7927,u1_struct_0(U_7930))
| ~ sP1416(U_7928,U_7931,U_7929,U_7930,U_7927) ),
inference(clausify,[status(thm)],[f_3195_4]) ).
cnf(f_3195_8,plain,
( m1_subset_1(sK945(U_7931,U_7930,U_7929,U_7928),u1_struct_0(U_7930))
| ~ sP1415(U_7928,U_7931,U_7929,U_7930) ),
inference(clausify,[status(thm)],[f_3195_4]) ).
cnf(f_3195_9,plain,
( U_7928 = k3_rmod_2(U_7931,U_7930,sK945(U_7931,U_7930,U_7929,U_7928),U_7929)
| ~ sP1415(U_7928,U_7931,U_7929,U_7930) ),
inference(clausify,[status(thm)],[f_3195_4]) ).
fof(f_3196_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t54_rmod_2]) ).
fof(f_3196_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3196_1]) ).
cnf(f_3196_3,plain,
$true,
inference(clausify,[status(thm)],[f_3196_2]) ).
fof(f_3197_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t55_rmod_2]) ).
fof(f_3197_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3197_1]) ).
cnf(f_3197_3,plain,
$true,
inference(clausify,[status(thm)],[f_3197_2]) ).
fof(f_3198_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_rmod_2]) ).
fof(f_3198_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3198_1]) ).
cnf(f_3198_3,plain,
$true,
inference(clausify,[status(thm)],[f_3198_2]) ).
fof(f_3199_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(A,k3_rmod_2(B,C,D,E))
| ! [F] :
( A != k4_rlvect_1(C,D,F)
| ~ r1_rlvect_1(E,F)
| ~ m1_subset_1(F,u1_struct_0(C)) ) )
& ( ? [F] :
( A = k4_rlvect_1(C,D,F)
& r1_rlvect_1(E,F)
& m1_subset_1(F,u1_struct_0(C)) )
| ~ r2_hidden(A,k3_rmod_2(B,C,D,E)) ) )
| ~ m1_rmod_2(E,B,C) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[t57_rmod_2]) ).
fof(f_3199_2,plain,
! [U_7938,U_7937] :
( ! [U_7936] :
( ! [U_7935] :
( ! [U_7934] :
( ( ( r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934))
| ! [U_7933] :
( U_7938 != k4_rlvect_1(U_7936,U_7935,U_7933)
| ~ r1_rlvect_1(U_7934,U_7933)
| ~ m1_subset_1(U_7933,u1_struct_0(U_7936)) ) )
& ( ? [U_7932] :
( U_7938 = k4_rlvect_1(U_7936,U_7935,U_7932)
& r1_rlvect_1(U_7934,U_7932)
& m1_subset_1(U_7932,u1_struct_0(U_7936)) )
| ~ r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934)) ) )
| ~ m1_rmod_2(U_7934,U_7937,U_7936) )
| ~ m1_subset_1(U_7935,u1_struct_0(U_7936)) )
| ~ l1_vectsp_2(U_7936,U_7937)
| ~ v5_vectsp_2(U_7936,U_7937)
| ~ v6_rlvect_1(U_7936)
| ~ v5_rlvect_1(U_7936)
| ~ v4_rlvect_1(U_7936)
| ~ v3_rlvect_1(U_7936)
| v3_struct_0(U_7936) )
| ~ l3_vectsp_1(U_7937)
| ~ v8_vectsp_1(U_7937)
| ~ v7_vectsp_1(U_7937)
| ~ v6_vectsp_1(U_7937)
| ~ v4_group_1(U_7937)
| ~ v6_rlvect_1(U_7937)
| ~ v5_rlvect_1(U_7937)
| ~ v4_rlvect_1(U_7937)
| ~ v3_rlvect_1(U_7937)
| v3_struct_0(U_7937) ),
inference(variable_rename,[status(thm)],[f_3199_1]) ).
fof(f_3199_3,plain,
! [U_7938,U_7937] :
( ! [U_7936] :
( ! [U_7935] :
( ! [U_7934] :
( ( ( r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934))
| ! [U_7933] :
( U_7938 != k4_rlvect_1(U_7936,U_7935,U_7933)
| ~ r1_rlvect_1(U_7934,U_7933)
| ~ m1_subset_1(U_7933,u1_struct_0(U_7936)) ) )
& ( ( U_7938 = k4_rlvect_1(U_7936,U_7935,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))
& r1_rlvect_1(U_7934,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))
& m1_subset_1(sK946(U_7938,U_7937,U_7936,U_7935,U_7934),u1_struct_0(U_7936)) )
| ~ r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934)) ) )
| ~ m1_rmod_2(U_7934,U_7937,U_7936) )
| ~ m1_subset_1(U_7935,u1_struct_0(U_7936)) )
| ~ l1_vectsp_2(U_7936,U_7937)
| ~ v5_vectsp_2(U_7936,U_7937)
| ~ v6_rlvect_1(U_7936)
| ~ v5_rlvect_1(U_7936)
| ~ v4_rlvect_1(U_7936)
| ~ v3_rlvect_1(U_7936)
| v3_struct_0(U_7936) )
| ~ l3_vectsp_1(U_7937)
| ~ v8_vectsp_1(U_7937)
| ~ v7_vectsp_1(U_7937)
| ~ v6_vectsp_1(U_7937)
| ~ v4_group_1(U_7937)
| ~ v6_rlvect_1(U_7937)
| ~ v5_rlvect_1(U_7937)
| ~ v4_rlvect_1(U_7937)
| ~ v3_rlvect_1(U_7937)
| v3_struct_0(U_7937) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK946]),skolemize(U_7932,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))],[f_3199_2]) ).
fof(f_3199_4,plain,
( ! [U_7937,U_7934,U_7938,U_7935,U_7936] :
( U_7938 = k4_rlvect_1(U_7936,U_7935,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))
| ~ sP1417(U_7937,U_7934,U_7938,U_7935,U_7936) )
& ! [U_7937,U_7934,U_7938,U_7935,U_7936] :
( r1_rlvect_1(U_7934,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))
| ~ sP1417(U_7937,U_7934,U_7938,U_7935,U_7936) )
& ! [U_7937,U_7934,U_7938,U_7935,U_7936] :
( m1_subset_1(sK946(U_7938,U_7937,U_7936,U_7935,U_7934),u1_struct_0(U_7936))
| ~ sP1417(U_7937,U_7934,U_7938,U_7935,U_7936) )
& ! [U_7937,U_7933,U_7934,U_7938,U_7935,U_7936] :
( r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934))
| U_7938 != k4_rlvect_1(U_7936,U_7935,U_7933)
| ~ r1_rlvect_1(U_7934,U_7933)
| ~ m1_subset_1(U_7933,u1_struct_0(U_7936))
| ~ sP1418(U_7937,U_7933,U_7934,U_7938,U_7935,U_7936) )
& ! [U_7937,U_7933,U_7934,U_7938,U_7935,U_7936] :
( sP1417(U_7937,U_7934,U_7938,U_7935,U_7936)
| ~ r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934))
| ~ sP1418(U_7937,U_7933,U_7934,U_7938,U_7935,U_7936) )
& ! [U_7937,U_7933,U_7934,U_7938,U_7935,U_7936] :
( sP1418(U_7937,U_7933,U_7934,U_7938,U_7935,U_7936)
| ~ m1_rmod_2(U_7934,U_7937,U_7936)
| ~ m1_subset_1(U_7935,u1_struct_0(U_7936))
| ~ l1_vectsp_2(U_7936,U_7937)
| ~ v5_vectsp_2(U_7936,U_7937)
| ~ v6_rlvect_1(U_7936)
| ~ v5_rlvect_1(U_7936)
| ~ v4_rlvect_1(U_7936)
| ~ v3_rlvect_1(U_7936)
| v3_struct_0(U_7936)
| ~ l3_vectsp_1(U_7937)
| ~ v8_vectsp_1(U_7937)
| ~ v7_vectsp_1(U_7937)
| ~ v6_vectsp_1(U_7937)
| ~ v4_group_1(U_7937)
| ~ v6_rlvect_1(U_7937)
| ~ v5_rlvect_1(U_7937)
| ~ v4_rlvect_1(U_7937)
| ~ v3_rlvect_1(U_7937)
| v3_struct_0(U_7937) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1417,sP1418])],[f_3199_3]) ).
cnf(f_3199_5,plain,
( sP1418(U_7937,U_7933,U_7934,U_7938,U_7935,U_7936)
| ~ m1_rmod_2(U_7934,U_7937,U_7936)
| ~ m1_subset_1(U_7935,u1_struct_0(U_7936))
| ~ l1_vectsp_2(U_7936,U_7937)
| ~ v5_vectsp_2(U_7936,U_7937)
| ~ v6_rlvect_1(U_7936)
| ~ v5_rlvect_1(U_7936)
| ~ v4_rlvect_1(U_7936)
| ~ v3_rlvect_1(U_7936)
| v3_struct_0(U_7936)
| ~ l3_vectsp_1(U_7937)
| ~ v8_vectsp_1(U_7937)
| ~ v7_vectsp_1(U_7937)
| ~ v6_vectsp_1(U_7937)
| ~ v4_group_1(U_7937)
| ~ v6_rlvect_1(U_7937)
| ~ v5_rlvect_1(U_7937)
| ~ v4_rlvect_1(U_7937)
| ~ v3_rlvect_1(U_7937)
| v3_struct_0(U_7937) ),
inference(clausify,[status(thm)],[f_3199_4]) ).
cnf(f_3199_6,plain,
( sP1417(U_7937,U_7934,U_7938,U_7935,U_7936)
| ~ r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934))
| ~ sP1418(U_7937,U_7933,U_7934,U_7938,U_7935,U_7936) ),
inference(clausify,[status(thm)],[f_3199_4]) ).
cnf(f_3199_7,plain,
( r2_hidden(U_7938,k3_rmod_2(U_7937,U_7936,U_7935,U_7934))
| U_7938 != k4_rlvect_1(U_7936,U_7935,U_7933)
| ~ r1_rlvect_1(U_7934,U_7933)
| ~ m1_subset_1(U_7933,u1_struct_0(U_7936))
| ~ sP1418(U_7937,U_7933,U_7934,U_7938,U_7935,U_7936) ),
inference(clausify,[status(thm)],[f_3199_4]) ).
cnf(f_3199_8,plain,
( m1_subset_1(sK946(U_7938,U_7937,U_7936,U_7935,U_7934),u1_struct_0(U_7936))
| ~ sP1417(U_7937,U_7934,U_7938,U_7935,U_7936) ),
inference(clausify,[status(thm)],[f_3199_4]) ).
cnf(f_3199_9,plain,
( r1_rlvect_1(U_7934,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))
| ~ sP1417(U_7937,U_7934,U_7938,U_7935,U_7936) ),
inference(clausify,[status(thm)],[f_3199_4]) ).
cnf(f_3199_10,plain,
( U_7938 = k4_rlvect_1(U_7936,U_7935,sK946(U_7938,U_7937,U_7936,U_7935,U_7934))
| ~ sP1417(U_7937,U_7934,U_7938,U_7935,U_7936) ),
inference(clausify,[status(thm)],[f_3199_4]) ).
fof(f_3200_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))
| ~ r1_rlvect_1(D,C) )
& ( r1_rlvect_1(D,C)
| ~ r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D)) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t58_rmod_2]) ).
fof(f_3200_2,plain,
! [U_7942] :
( ! [U_7941] :
( ! [U_7940] :
( ! [U_7939] :
( ( ( r2_hidden(k1_rlvect_1(U_7941),k3_rmod_2(U_7942,U_7941,U_7940,U_7939))
| ~ r1_rlvect_1(U_7939,U_7940) )
& ( r1_rlvect_1(U_7939,U_7940)
| ~ r2_hidden(k1_rlvect_1(U_7941),k3_rmod_2(U_7942,U_7941,U_7940,U_7939)) ) )
| ~ m1_rmod_2(U_7939,U_7942,U_7941) )
| ~ m1_subset_1(U_7940,u1_struct_0(U_7941)) )
| ~ l1_vectsp_2(U_7941,U_7942)
| ~ v5_vectsp_2(U_7941,U_7942)
| ~ v6_rlvect_1(U_7941)
| ~ v5_rlvect_1(U_7941)
| ~ v4_rlvect_1(U_7941)
| ~ v3_rlvect_1(U_7941)
| v3_struct_0(U_7941) )
| ~ l3_vectsp_1(U_7942)
| ~ v8_vectsp_1(U_7942)
| ~ v7_vectsp_1(U_7942)
| ~ v6_vectsp_1(U_7942)
| ~ v4_group_1(U_7942)
| ~ v6_rlvect_1(U_7942)
| ~ v5_rlvect_1(U_7942)
| ~ v4_rlvect_1(U_7942)
| ~ v3_rlvect_1(U_7942)
| v3_struct_0(U_7942) ),
inference(variable_rename,[status(thm)],[f_3200_1]) ).
fof(f_3200_3,plain,
( ! [U_7941,U_7940,U_7942,U_7939] :
( r2_hidden(k1_rlvect_1(U_7941),k3_rmod_2(U_7942,U_7941,U_7940,U_7939))
| ~ r1_rlvect_1(U_7939,U_7940)
| ~ sP1419(U_7941,U_7940,U_7942,U_7939) )
& ! [U_7941,U_7940,U_7942,U_7939] :
( r1_rlvect_1(U_7939,U_7940)
| ~ r2_hidden(k1_rlvect_1(U_7941),k3_rmod_2(U_7942,U_7941,U_7940,U_7939))
| ~ sP1419(U_7941,U_7940,U_7942,U_7939) )
& ! [U_7941,U_7940,U_7942,U_7939] :
( sP1419(U_7941,U_7940,U_7942,U_7939)
| ~ m1_rmod_2(U_7939,U_7942,U_7941)
| ~ m1_subset_1(U_7940,u1_struct_0(U_7941))
| ~ l1_vectsp_2(U_7941,U_7942)
| ~ v5_vectsp_2(U_7941,U_7942)
| ~ v6_rlvect_1(U_7941)
| ~ v5_rlvect_1(U_7941)
| ~ v4_rlvect_1(U_7941)
| ~ v3_rlvect_1(U_7941)
| v3_struct_0(U_7941)
| ~ l3_vectsp_1(U_7942)
| ~ v8_vectsp_1(U_7942)
| ~ v7_vectsp_1(U_7942)
| ~ v6_vectsp_1(U_7942)
| ~ v4_group_1(U_7942)
| ~ v6_rlvect_1(U_7942)
| ~ v5_rlvect_1(U_7942)
| ~ v4_rlvect_1(U_7942)
| ~ v3_rlvect_1(U_7942)
| v3_struct_0(U_7942) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1419])],[f_3200_2]) ).
cnf(f_3200_4,plain,
( sP1419(U_7941,U_7940,U_7942,U_7939)
| ~ m1_rmod_2(U_7939,U_7942,U_7941)
| ~ m1_subset_1(U_7940,u1_struct_0(U_7941))
| ~ l1_vectsp_2(U_7941,U_7942)
| ~ v5_vectsp_2(U_7941,U_7942)
| ~ v6_rlvect_1(U_7941)
| ~ v5_rlvect_1(U_7941)
| ~ v4_rlvect_1(U_7941)
| ~ v3_rlvect_1(U_7941)
| v3_struct_0(U_7941)
| ~ l3_vectsp_1(U_7942)
| ~ v8_vectsp_1(U_7942)
| ~ v7_vectsp_1(U_7942)
| ~ v6_vectsp_1(U_7942)
| ~ v4_group_1(U_7942)
| ~ v6_rlvect_1(U_7942)
| ~ v5_rlvect_1(U_7942)
| ~ v4_rlvect_1(U_7942)
| ~ v3_rlvect_1(U_7942)
| v3_struct_0(U_7942) ),
inference(clausify,[status(thm)],[f_3200_3]) ).
cnf(f_3200_5,plain,
( r1_rlvect_1(U_7939,U_7940)
| ~ r2_hidden(k1_rlvect_1(U_7941),k3_rmod_2(U_7942,U_7941,U_7940,U_7939))
| ~ sP1419(U_7941,U_7940,U_7942,U_7939) ),
inference(clausify,[status(thm)],[f_3200_3]) ).
cnf(f_3200_6,plain,
( r2_hidden(k1_rlvect_1(U_7941),k3_rmod_2(U_7942,U_7941,U_7940,U_7939))
| ~ r1_rlvect_1(U_7939,U_7940)
| ~ sP1419(U_7941,U_7940,U_7942,U_7939) ),
inference(clausify,[status(thm)],[f_3200_3]) ).
fof(f_3201_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r2_hidden(C,k3_rmod_2(A,B,C,D))
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_rmod_2]) ).
fof(f_3201_2,plain,
! [U_7946] :
( ! [U_7945] :
( ! [U_7944] :
( ! [U_7943] :
( r2_hidden(U_7944,k3_rmod_2(U_7946,U_7945,U_7944,U_7943))
| ~ m1_rmod_2(U_7943,U_7946,U_7945) )
| ~ m1_subset_1(U_7944,u1_struct_0(U_7945)) )
| ~ l1_vectsp_2(U_7945,U_7946)
| ~ v5_vectsp_2(U_7945,U_7946)
| ~ v6_rlvect_1(U_7945)
| ~ v5_rlvect_1(U_7945)
| ~ v4_rlvect_1(U_7945)
| ~ v3_rlvect_1(U_7945)
| v3_struct_0(U_7945) )
| ~ l3_vectsp_1(U_7946)
| ~ v8_vectsp_1(U_7946)
| ~ v7_vectsp_1(U_7946)
| ~ v6_vectsp_1(U_7946)
| ~ v4_group_1(U_7946)
| ~ v6_rlvect_1(U_7946)
| ~ v5_rlvect_1(U_7946)
| ~ v4_rlvect_1(U_7946)
| ~ v3_rlvect_1(U_7946)
| v3_struct_0(U_7946) ),
inference(variable_rename,[status(thm)],[f_3201_1]) ).
fof(f_3201_3,plain,
! [U_7944,U_7943,U_7945,U_7946] :
( r2_hidden(U_7944,k3_rmod_2(U_7946,U_7945,U_7944,U_7943))
| ~ m1_rmod_2(U_7943,U_7946,U_7945)
| ~ m1_subset_1(U_7944,u1_struct_0(U_7945))
| ~ l1_vectsp_2(U_7945,U_7946)
| ~ v5_vectsp_2(U_7945,U_7946)
| ~ v6_rlvect_1(U_7945)
| ~ v5_rlvect_1(U_7945)
| ~ v4_rlvect_1(U_7945)
| ~ v3_rlvect_1(U_7945)
| v3_struct_0(U_7945)
| ~ l3_vectsp_1(U_7946)
| ~ v8_vectsp_1(U_7946)
| ~ v7_vectsp_1(U_7946)
| ~ v6_vectsp_1(U_7946)
| ~ v4_group_1(U_7946)
| ~ v6_rlvect_1(U_7946)
| ~ v5_rlvect_1(U_7946)
| ~ v4_rlvect_1(U_7946)
| ~ v3_rlvect_1(U_7946)
| v3_struct_0(U_7946) ),
inference(definitional_conversion,[status(esa)],[f_3201_2]) ).
cnf(f_3201_4,plain,
( r2_hidden(U_7944,k3_rmod_2(U_7946,U_7945,U_7944,U_7943))
| ~ m1_rmod_2(U_7943,U_7946,U_7945)
| ~ m1_subset_1(U_7944,u1_struct_0(U_7945))
| ~ l1_vectsp_2(U_7945,U_7946)
| ~ v5_vectsp_2(U_7945,U_7946)
| ~ v6_rlvect_1(U_7945)
| ~ v5_rlvect_1(U_7945)
| ~ v4_rlvect_1(U_7945)
| ~ v3_rlvect_1(U_7945)
| v3_struct_0(U_7945)
| ~ l3_vectsp_1(U_7946)
| ~ v8_vectsp_1(U_7946)
| ~ v7_vectsp_1(U_7946)
| ~ v6_vectsp_1(U_7946)
| ~ v4_group_1(U_7946)
| ~ v6_rlvect_1(U_7946)
| ~ v5_rlvect_1(U_7946)
| ~ v4_rlvect_1(U_7946)
| ~ v3_rlvect_1(U_7946)
| v3_struct_0(U_7946) ),
inference(clausify,[status(thm)],[f_3201_3]) ).
fof(f_3202_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rmod_2(A,B,k1_rlvect_1(B),C) = u1_struct_0(C)
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t60_rmod_2]) ).
fof(f_3202_2,plain,
! [U_7949] :
( ! [U_7948] :
( ! [U_7947] :
( k3_rmod_2(U_7949,U_7948,k1_rlvect_1(U_7948),U_7947) = u1_struct_0(U_7947)
| ~ m1_rmod_2(U_7947,U_7949,U_7948) )
| ~ l1_vectsp_2(U_7948,U_7949)
| ~ v5_vectsp_2(U_7948,U_7949)
| ~ v6_rlvect_1(U_7948)
| ~ v5_rlvect_1(U_7948)
| ~ v4_rlvect_1(U_7948)
| ~ v3_rlvect_1(U_7948)
| v3_struct_0(U_7948) )
| ~ l3_vectsp_1(U_7949)
| ~ v8_vectsp_1(U_7949)
| ~ v7_vectsp_1(U_7949)
| ~ v6_vectsp_1(U_7949)
| ~ v4_group_1(U_7949)
| ~ v6_rlvect_1(U_7949)
| ~ v5_rlvect_1(U_7949)
| ~ v4_rlvect_1(U_7949)
| ~ v3_rlvect_1(U_7949)
| v3_struct_0(U_7949) ),
inference(variable_rename,[status(thm)],[f_3202_1]) ).
fof(f_3202_3,plain,
! [U_7948,U_7949,U_7947] :
( k3_rmod_2(U_7949,U_7948,k1_rlvect_1(U_7948),U_7947) = u1_struct_0(U_7947)
| ~ m1_rmod_2(U_7947,U_7949,U_7948)
| ~ l1_vectsp_2(U_7948,U_7949)
| ~ v5_vectsp_2(U_7948,U_7949)
| ~ v6_rlvect_1(U_7948)
| ~ v5_rlvect_1(U_7948)
| ~ v4_rlvect_1(U_7948)
| ~ v3_rlvect_1(U_7948)
| v3_struct_0(U_7948)
| ~ l3_vectsp_1(U_7949)
| ~ v8_vectsp_1(U_7949)
| ~ v7_vectsp_1(U_7949)
| ~ v6_vectsp_1(U_7949)
| ~ v4_group_1(U_7949)
| ~ v6_rlvect_1(U_7949)
| ~ v5_rlvect_1(U_7949)
| ~ v4_rlvect_1(U_7949)
| ~ v3_rlvect_1(U_7949)
| v3_struct_0(U_7949) ),
inference(definitional_conversion,[status(esa)],[f_3202_2]) ).
cnf(f_3202_4,plain,
( k3_rmod_2(U_7949,U_7948,k1_rlvect_1(U_7948),U_7947) = u1_struct_0(U_7947)
| ~ m1_rmod_2(U_7947,U_7949,U_7948)
| ~ l1_vectsp_2(U_7948,U_7949)
| ~ v5_vectsp_2(U_7948,U_7949)
| ~ v6_rlvect_1(U_7948)
| ~ v5_rlvect_1(U_7948)
| ~ v4_rlvect_1(U_7948)
| ~ v3_rlvect_1(U_7948)
| v3_struct_0(U_7948)
| ~ l3_vectsp_1(U_7949)
| ~ v8_vectsp_1(U_7949)
| ~ v7_vectsp_1(U_7949)
| ~ v6_vectsp_1(U_7949)
| ~ v4_group_1(U_7949)
| ~ v6_rlvect_1(U_7949)
| ~ v5_rlvect_1(U_7949)
| ~ v4_rlvect_1(U_7949)
| ~ v3_rlvect_1(U_7949)
| v3_struct_0(U_7949) ),
inference(clausify,[status(thm)],[f_3202_3]) ).
fof(f_3203_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rmod_2(A,B,C,k1_rmod_2(A,B)) = k6_domain_1(u1_struct_0(B),C)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t61_rmod_2]) ).
fof(f_3203_2,plain,
! [U_7952] :
( ! [U_7951] :
( ! [U_7950] :
( k3_rmod_2(U_7952,U_7951,U_7950,k1_rmod_2(U_7952,U_7951)) = k6_domain_1(u1_struct_0(U_7951),U_7950)
| ~ m1_subset_1(U_7950,u1_struct_0(U_7951)) )
| ~ l1_vectsp_2(U_7951,U_7952)
| ~ v5_vectsp_2(U_7951,U_7952)
| ~ v6_rlvect_1(U_7951)
| ~ v5_rlvect_1(U_7951)
| ~ v4_rlvect_1(U_7951)
| ~ v3_rlvect_1(U_7951)
| v3_struct_0(U_7951) )
| ~ l3_vectsp_1(U_7952)
| ~ v8_vectsp_1(U_7952)
| ~ v7_vectsp_1(U_7952)
| ~ v6_vectsp_1(U_7952)
| ~ v4_group_1(U_7952)
| ~ v6_rlvect_1(U_7952)
| ~ v5_rlvect_1(U_7952)
| ~ v4_rlvect_1(U_7952)
| ~ v3_rlvect_1(U_7952)
| v3_struct_0(U_7952) ),
inference(variable_rename,[status(thm)],[f_3203_1]) ).
fof(f_3203_3,plain,
! [U_7952,U_7951,U_7950] :
( k3_rmod_2(U_7952,U_7951,U_7950,k1_rmod_2(U_7952,U_7951)) = k6_domain_1(u1_struct_0(U_7951),U_7950)
| ~ m1_subset_1(U_7950,u1_struct_0(U_7951))
| ~ l1_vectsp_2(U_7951,U_7952)
| ~ v5_vectsp_2(U_7951,U_7952)
| ~ v6_rlvect_1(U_7951)
| ~ v5_rlvect_1(U_7951)
| ~ v4_rlvect_1(U_7951)
| ~ v3_rlvect_1(U_7951)
| v3_struct_0(U_7951)
| ~ l3_vectsp_1(U_7952)
| ~ v8_vectsp_1(U_7952)
| ~ v7_vectsp_1(U_7952)
| ~ v6_vectsp_1(U_7952)
| ~ v4_group_1(U_7952)
| ~ v6_rlvect_1(U_7952)
| ~ v5_rlvect_1(U_7952)
| ~ v4_rlvect_1(U_7952)
| ~ v3_rlvect_1(U_7952)
| v3_struct_0(U_7952) ),
inference(definitional_conversion,[status(esa)],[f_3203_2]) ).
cnf(f_3203_4,plain,
( k3_rmod_2(U_7952,U_7951,U_7950,k1_rmod_2(U_7952,U_7951)) = k6_domain_1(u1_struct_0(U_7951),U_7950)
| ~ m1_subset_1(U_7950,u1_struct_0(U_7951))
| ~ l1_vectsp_2(U_7951,U_7952)
| ~ v5_vectsp_2(U_7951,U_7952)
| ~ v6_rlvect_1(U_7951)
| ~ v5_rlvect_1(U_7951)
| ~ v4_rlvect_1(U_7951)
| ~ v3_rlvect_1(U_7951)
| v3_struct_0(U_7951)
| ~ l3_vectsp_1(U_7952)
| ~ v8_vectsp_1(U_7952)
| ~ v7_vectsp_1(U_7952)
| ~ v6_vectsp_1(U_7952)
| ~ v4_group_1(U_7952)
| ~ v6_rlvect_1(U_7952)
| ~ v5_rlvect_1(U_7952)
| ~ v4_rlvect_1(U_7952)
| ~ v3_rlvect_1(U_7952)
| v3_struct_0(U_7952) ),
inference(clausify,[status(thm)],[f_3203_3]) ).
fof(f_3204_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_rmod_2(A,B,C,k2_rmod_2(A,B)) = u1_struct_0(B)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t62_rmod_2]) ).
fof(f_3204_2,plain,
! [U_7955] :
( ! [U_7954] :
( ! [U_7953] :
( k3_rmod_2(U_7955,U_7954,U_7953,k2_rmod_2(U_7955,U_7954)) = u1_struct_0(U_7954)
| ~ m1_subset_1(U_7953,u1_struct_0(U_7954)) )
| ~ l1_vectsp_2(U_7954,U_7955)
| ~ v5_vectsp_2(U_7954,U_7955)
| ~ v6_rlvect_1(U_7954)
| ~ v5_rlvect_1(U_7954)
| ~ v4_rlvect_1(U_7954)
| ~ v3_rlvect_1(U_7954)
| v3_struct_0(U_7954) )
| ~ l3_vectsp_1(U_7955)
| ~ v8_vectsp_1(U_7955)
| ~ v7_vectsp_1(U_7955)
| ~ v6_vectsp_1(U_7955)
| ~ v4_group_1(U_7955)
| ~ v6_rlvect_1(U_7955)
| ~ v5_rlvect_1(U_7955)
| ~ v4_rlvect_1(U_7955)
| ~ v3_rlvect_1(U_7955)
| v3_struct_0(U_7955) ),
inference(variable_rename,[status(thm)],[f_3204_1]) ).
fof(f_3204_3,plain,
! [U_7954,U_7953,U_7955] :
( k3_rmod_2(U_7955,U_7954,U_7953,k2_rmod_2(U_7955,U_7954)) = u1_struct_0(U_7954)
| ~ m1_subset_1(U_7953,u1_struct_0(U_7954))
| ~ l1_vectsp_2(U_7954,U_7955)
| ~ v5_vectsp_2(U_7954,U_7955)
| ~ v6_rlvect_1(U_7954)
| ~ v5_rlvect_1(U_7954)
| ~ v4_rlvect_1(U_7954)
| ~ v3_rlvect_1(U_7954)
| v3_struct_0(U_7954)
| ~ l3_vectsp_1(U_7955)
| ~ v8_vectsp_1(U_7955)
| ~ v7_vectsp_1(U_7955)
| ~ v6_vectsp_1(U_7955)
| ~ v4_group_1(U_7955)
| ~ v6_rlvect_1(U_7955)
| ~ v5_rlvect_1(U_7955)
| ~ v4_rlvect_1(U_7955)
| ~ v3_rlvect_1(U_7955)
| v3_struct_0(U_7955) ),
inference(definitional_conversion,[status(esa)],[f_3204_2]) ).
cnf(f_3204_4,plain,
( k3_rmod_2(U_7955,U_7954,U_7953,k2_rmod_2(U_7955,U_7954)) = u1_struct_0(U_7954)
| ~ m1_subset_1(U_7953,u1_struct_0(U_7954))
| ~ l1_vectsp_2(U_7954,U_7955)
| ~ v5_vectsp_2(U_7954,U_7955)
| ~ v6_rlvect_1(U_7954)
| ~ v5_rlvect_1(U_7954)
| ~ v4_rlvect_1(U_7954)
| ~ v3_rlvect_1(U_7954)
| v3_struct_0(U_7954)
| ~ l3_vectsp_1(U_7955)
| ~ v8_vectsp_1(U_7955)
| ~ v7_vectsp_1(U_7955)
| ~ v6_vectsp_1(U_7955)
| ~ v4_group_1(U_7955)
| ~ v6_rlvect_1(U_7955)
| ~ v5_rlvect_1(U_7955)
| ~ v4_rlvect_1(U_7955)
| ~ v3_rlvect_1(U_7955)
| v3_struct_0(U_7955) ),
inference(clausify,[status(thm)],[f_3204_3]) ).
fof(f_3205_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))
| k3_rmod_2(A,B,C,D) != u1_struct_0(D) )
& ( k3_rmod_2(A,B,C,D) = u1_struct_0(D)
| ~ r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D)) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t63_rmod_2]) ).
fof(f_3205_2,plain,
! [U_7959] :
( ! [U_7958] :
( ! [U_7957] :
( ! [U_7956] :
( ( ( r2_hidden(k1_rlvect_1(U_7958),k3_rmod_2(U_7959,U_7958,U_7957,U_7956))
| k3_rmod_2(U_7959,U_7958,U_7957,U_7956) != u1_struct_0(U_7956) )
& ( k3_rmod_2(U_7959,U_7958,U_7957,U_7956) = u1_struct_0(U_7956)
| ~ r2_hidden(k1_rlvect_1(U_7958),k3_rmod_2(U_7959,U_7958,U_7957,U_7956)) ) )
| ~ m1_rmod_2(U_7956,U_7959,U_7958) )
| ~ m1_subset_1(U_7957,u1_struct_0(U_7958)) )
| ~ l1_vectsp_2(U_7958,U_7959)
| ~ v5_vectsp_2(U_7958,U_7959)
| ~ v6_rlvect_1(U_7958)
| ~ v5_rlvect_1(U_7958)
| ~ v4_rlvect_1(U_7958)
| ~ v3_rlvect_1(U_7958)
| v3_struct_0(U_7958) )
| ~ l3_vectsp_1(U_7959)
| ~ v8_vectsp_1(U_7959)
| ~ v7_vectsp_1(U_7959)
| ~ v6_vectsp_1(U_7959)
| ~ v4_group_1(U_7959)
| ~ v6_rlvect_1(U_7959)
| ~ v5_rlvect_1(U_7959)
| ~ v4_rlvect_1(U_7959)
| ~ v3_rlvect_1(U_7959)
| v3_struct_0(U_7959) ),
inference(variable_rename,[status(thm)],[f_3205_1]) ).
fof(f_3205_3,plain,
( ! [U_7959,U_7958,U_7957,U_7956] :
( r2_hidden(k1_rlvect_1(U_7958),k3_rmod_2(U_7959,U_7958,U_7957,U_7956))
| k3_rmod_2(U_7959,U_7958,U_7957,U_7956) != u1_struct_0(U_7956)
| ~ sP1420(U_7959,U_7958,U_7957,U_7956) )
& ! [U_7959,U_7958,U_7957,U_7956] :
( k3_rmod_2(U_7959,U_7958,U_7957,U_7956) = u1_struct_0(U_7956)
| ~ r2_hidden(k1_rlvect_1(U_7958),k3_rmod_2(U_7959,U_7958,U_7957,U_7956))
| ~ sP1420(U_7959,U_7958,U_7957,U_7956) )
& ! [U_7959,U_7958,U_7957,U_7956] :
( sP1420(U_7959,U_7958,U_7957,U_7956)
| ~ m1_rmod_2(U_7956,U_7959,U_7958)
| ~ m1_subset_1(U_7957,u1_struct_0(U_7958))
| ~ l1_vectsp_2(U_7958,U_7959)
| ~ v5_vectsp_2(U_7958,U_7959)
| ~ v6_rlvect_1(U_7958)
| ~ v5_rlvect_1(U_7958)
| ~ v4_rlvect_1(U_7958)
| ~ v3_rlvect_1(U_7958)
| v3_struct_0(U_7958)
| ~ l3_vectsp_1(U_7959)
| ~ v8_vectsp_1(U_7959)
| ~ v7_vectsp_1(U_7959)
| ~ v6_vectsp_1(U_7959)
| ~ v4_group_1(U_7959)
| ~ v6_rlvect_1(U_7959)
| ~ v5_rlvect_1(U_7959)
| ~ v4_rlvect_1(U_7959)
| ~ v3_rlvect_1(U_7959)
| v3_struct_0(U_7959) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1420])],[f_3205_2]) ).
cnf(f_3205_4,plain,
( sP1420(U_7959,U_7958,U_7957,U_7956)
| ~ m1_rmod_2(U_7956,U_7959,U_7958)
| ~ m1_subset_1(U_7957,u1_struct_0(U_7958))
| ~ l1_vectsp_2(U_7958,U_7959)
| ~ v5_vectsp_2(U_7958,U_7959)
| ~ v6_rlvect_1(U_7958)
| ~ v5_rlvect_1(U_7958)
| ~ v4_rlvect_1(U_7958)
| ~ v3_rlvect_1(U_7958)
| v3_struct_0(U_7958)
| ~ l3_vectsp_1(U_7959)
| ~ v8_vectsp_1(U_7959)
| ~ v7_vectsp_1(U_7959)
| ~ v6_vectsp_1(U_7959)
| ~ v4_group_1(U_7959)
| ~ v6_rlvect_1(U_7959)
| ~ v5_rlvect_1(U_7959)
| ~ v4_rlvect_1(U_7959)
| ~ v3_rlvect_1(U_7959)
| v3_struct_0(U_7959) ),
inference(clausify,[status(thm)],[f_3205_3]) ).
cnf(f_3205_5,plain,
( k3_rmod_2(U_7959,U_7958,U_7957,U_7956) = u1_struct_0(U_7956)
| ~ r2_hidden(k1_rlvect_1(U_7958),k3_rmod_2(U_7959,U_7958,U_7957,U_7956))
| ~ sP1420(U_7959,U_7958,U_7957,U_7956) ),
inference(clausify,[status(thm)],[f_3205_3]) ).
cnf(f_3205_6,plain,
( r2_hidden(k1_rlvect_1(U_7958),k3_rmod_2(U_7959,U_7958,U_7957,U_7956))
| k3_rmod_2(U_7959,U_7958,U_7957,U_7956) != u1_struct_0(U_7956)
| ~ sP1420(U_7959,U_7958,U_7957,U_7956) ),
inference(clausify,[status(thm)],[f_3205_3]) ).
fof(f_3206_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_rlvect_1(D,C)
| k3_rmod_2(A,B,C,D) != u1_struct_0(D) )
& ( k3_rmod_2(A,B,C,D) = u1_struct_0(D)
| ~ r1_rlvect_1(D,C) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t64_rmod_2]) ).
fof(f_3206_2,plain,
! [U_7963] :
( ! [U_7962] :
( ! [U_7961] :
( ! [U_7960] :
( ( ( r1_rlvect_1(U_7960,U_7961)
| k3_rmod_2(U_7963,U_7962,U_7961,U_7960) != u1_struct_0(U_7960) )
& ( k3_rmod_2(U_7963,U_7962,U_7961,U_7960) = u1_struct_0(U_7960)
| ~ r1_rlvect_1(U_7960,U_7961) ) )
| ~ m1_rmod_2(U_7960,U_7963,U_7962) )
| ~ m1_subset_1(U_7961,u1_struct_0(U_7962)) )
| ~ l1_vectsp_2(U_7962,U_7963)
| ~ v5_vectsp_2(U_7962,U_7963)
| ~ v6_rlvect_1(U_7962)
| ~ v5_rlvect_1(U_7962)
| ~ v4_rlvect_1(U_7962)
| ~ v3_rlvect_1(U_7962)
| v3_struct_0(U_7962) )
| ~ l3_vectsp_1(U_7963)
| ~ v8_vectsp_1(U_7963)
| ~ v7_vectsp_1(U_7963)
| ~ v6_vectsp_1(U_7963)
| ~ v4_group_1(U_7963)
| ~ v6_rlvect_1(U_7963)
| ~ v5_rlvect_1(U_7963)
| ~ v4_rlvect_1(U_7963)
| ~ v3_rlvect_1(U_7963)
| v3_struct_0(U_7963) ),
inference(variable_rename,[status(thm)],[f_3206_1]) ).
fof(f_3206_3,plain,
( ! [U_7961,U_7963,U_7962,U_7960] :
( r1_rlvect_1(U_7960,U_7961)
| k3_rmod_2(U_7963,U_7962,U_7961,U_7960) != u1_struct_0(U_7960)
| ~ sP1421(U_7961,U_7963,U_7962,U_7960) )
& ! [U_7961,U_7963,U_7962,U_7960] :
( k3_rmod_2(U_7963,U_7962,U_7961,U_7960) = u1_struct_0(U_7960)
| ~ r1_rlvect_1(U_7960,U_7961)
| ~ sP1421(U_7961,U_7963,U_7962,U_7960) )
& ! [U_7961,U_7963,U_7962,U_7960] :
( sP1421(U_7961,U_7963,U_7962,U_7960)
| ~ m1_rmod_2(U_7960,U_7963,U_7962)
| ~ m1_subset_1(U_7961,u1_struct_0(U_7962))
| ~ l1_vectsp_2(U_7962,U_7963)
| ~ v5_vectsp_2(U_7962,U_7963)
| ~ v6_rlvect_1(U_7962)
| ~ v5_rlvect_1(U_7962)
| ~ v4_rlvect_1(U_7962)
| ~ v3_rlvect_1(U_7962)
| v3_struct_0(U_7962)
| ~ l3_vectsp_1(U_7963)
| ~ v8_vectsp_1(U_7963)
| ~ v7_vectsp_1(U_7963)
| ~ v6_vectsp_1(U_7963)
| ~ v4_group_1(U_7963)
| ~ v6_rlvect_1(U_7963)
| ~ v5_rlvect_1(U_7963)
| ~ v4_rlvect_1(U_7963)
| ~ v3_rlvect_1(U_7963)
| v3_struct_0(U_7963) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1421])],[f_3206_2]) ).
cnf(f_3206_4,plain,
( sP1421(U_7961,U_7963,U_7962,U_7960)
| ~ m1_rmod_2(U_7960,U_7963,U_7962)
| ~ m1_subset_1(U_7961,u1_struct_0(U_7962))
| ~ l1_vectsp_2(U_7962,U_7963)
| ~ v5_vectsp_2(U_7962,U_7963)
| ~ v6_rlvect_1(U_7962)
| ~ v5_rlvect_1(U_7962)
| ~ v4_rlvect_1(U_7962)
| ~ v3_rlvect_1(U_7962)
| v3_struct_0(U_7962)
| ~ l3_vectsp_1(U_7963)
| ~ v8_vectsp_1(U_7963)
| ~ v7_vectsp_1(U_7963)
| ~ v6_vectsp_1(U_7963)
| ~ v4_group_1(U_7963)
| ~ v6_rlvect_1(U_7963)
| ~ v5_rlvect_1(U_7963)
| ~ v4_rlvect_1(U_7963)
| ~ v3_rlvect_1(U_7963)
| v3_struct_0(U_7963) ),
inference(clausify,[status(thm)],[f_3206_3]) ).
cnf(f_3206_5,plain,
( k3_rmod_2(U_7963,U_7962,U_7961,U_7960) = u1_struct_0(U_7960)
| ~ r1_rlvect_1(U_7960,U_7961)
| ~ sP1421(U_7961,U_7963,U_7962,U_7960) ),
inference(clausify,[status(thm)],[f_3206_3]) ).
cnf(f_3206_6,plain,
( r1_rlvect_1(U_7960,U_7961)
| k3_rmod_2(U_7963,U_7962,U_7961,U_7960) != u1_struct_0(U_7960)
| ~ sP1421(U_7961,U_7963,U_7962,U_7960) ),
inference(clausify,[status(thm)],[f_3206_3]) ).
fof(f_3207_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k3_rmod_2(A,C,k6_vectsp_2(A,C,B,D),E) = u1_struct_0(E)
| ~ r1_rlvect_1(E,D)
| ~ m1_rmod_2(E,A,C) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t65_rmod_2]) ).
fof(f_3207_2,plain,
! [U_7968] :
( ! [U_7967] :
( ! [U_7966] :
( ! [U_7965] :
( ! [U_7964] :
( k3_rmod_2(U_7968,U_7966,k6_vectsp_2(U_7968,U_7966,U_7967,U_7965),U_7964) = u1_struct_0(U_7964)
| ~ r1_rlvect_1(U_7964,U_7965)
| ~ m1_rmod_2(U_7964,U_7968,U_7966) )
| ~ m1_subset_1(U_7965,u1_struct_0(U_7966)) )
| ~ l1_vectsp_2(U_7966,U_7968)
| ~ v5_vectsp_2(U_7966,U_7968)
| ~ v6_rlvect_1(U_7966)
| ~ v5_rlvect_1(U_7966)
| ~ v4_rlvect_1(U_7966)
| ~ v3_rlvect_1(U_7966)
| v3_struct_0(U_7966) )
| ~ m1_subset_1(U_7967,u1_struct_0(U_7968)) )
| ~ l3_vectsp_1(U_7968)
| ~ v8_vectsp_1(U_7968)
| ~ v7_vectsp_1(U_7968)
| ~ v6_vectsp_1(U_7968)
| ~ v4_group_1(U_7968)
| ~ v6_rlvect_1(U_7968)
| ~ v5_rlvect_1(U_7968)
| ~ v4_rlvect_1(U_7968)
| ~ v3_rlvect_1(U_7968)
| v3_struct_0(U_7968) ),
inference(variable_rename,[status(thm)],[f_3207_1]) ).
fof(f_3207_3,plain,
! [U_7965,U_7968,U_7964,U_7967,U_7966] :
( k3_rmod_2(U_7968,U_7966,k6_vectsp_2(U_7968,U_7966,U_7967,U_7965),U_7964) = u1_struct_0(U_7964)
| ~ r1_rlvect_1(U_7964,U_7965)
| ~ m1_rmod_2(U_7964,U_7968,U_7966)
| ~ m1_subset_1(U_7965,u1_struct_0(U_7966))
| ~ l1_vectsp_2(U_7966,U_7968)
| ~ v5_vectsp_2(U_7966,U_7968)
| ~ v6_rlvect_1(U_7966)
| ~ v5_rlvect_1(U_7966)
| ~ v4_rlvect_1(U_7966)
| ~ v3_rlvect_1(U_7966)
| v3_struct_0(U_7966)
| ~ m1_subset_1(U_7967,u1_struct_0(U_7968))
| ~ l3_vectsp_1(U_7968)
| ~ v8_vectsp_1(U_7968)
| ~ v7_vectsp_1(U_7968)
| ~ v6_vectsp_1(U_7968)
| ~ v4_group_1(U_7968)
| ~ v6_rlvect_1(U_7968)
| ~ v5_rlvect_1(U_7968)
| ~ v4_rlvect_1(U_7968)
| ~ v3_rlvect_1(U_7968)
| v3_struct_0(U_7968) ),
inference(definitional_conversion,[status(esa)],[f_3207_2]) ).
cnf(f_3207_4,plain,
( k3_rmod_2(U_7968,U_7966,k6_vectsp_2(U_7968,U_7966,U_7967,U_7965),U_7964) = u1_struct_0(U_7964)
| ~ r1_rlvect_1(U_7964,U_7965)
| ~ m1_rmod_2(U_7964,U_7968,U_7966)
| ~ m1_subset_1(U_7965,u1_struct_0(U_7966))
| ~ l1_vectsp_2(U_7966,U_7968)
| ~ v5_vectsp_2(U_7966,U_7968)
| ~ v6_rlvect_1(U_7966)
| ~ v5_rlvect_1(U_7966)
| ~ v4_rlvect_1(U_7966)
| ~ v3_rlvect_1(U_7966)
| v3_struct_0(U_7966)
| ~ m1_subset_1(U_7967,u1_struct_0(U_7968))
| ~ l3_vectsp_1(U_7968)
| ~ v8_vectsp_1(U_7968)
| ~ v7_vectsp_1(U_7968)
| ~ v6_vectsp_1(U_7968)
| ~ v4_group_1(U_7968)
| ~ v6_rlvect_1(U_7968)
| ~ v5_rlvect_1(U_7968)
| ~ v4_rlvect_1(U_7968)
| ~ v3_rlvect_1(U_7968)
| v3_struct_0(U_7968) ),
inference(clausify,[status(thm)],[f_3207_3]) ).
fof(f_3208_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r1_rlvect_1(E,C)
| k3_rmod_2(A,B,D,E) != k3_rmod_2(A,B,k4_rlvect_1(B,D,C),E) )
& ( k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,k4_rlvect_1(B,D,C),E)
| ~ r1_rlvect_1(E,C) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t66_rmod_2]) ).
fof(f_3208_2,plain,
! [U_7973] :
( ! [U_7972] :
( ! [U_7971] :
( ! [U_7970] :
( ! [U_7969] :
( ( ( r1_rlvect_1(U_7969,U_7971)
| k3_rmod_2(U_7973,U_7972,U_7970,U_7969) != k3_rmod_2(U_7973,U_7972,k4_rlvect_1(U_7972,U_7970,U_7971),U_7969) )
& ( k3_rmod_2(U_7973,U_7972,U_7970,U_7969) = k3_rmod_2(U_7973,U_7972,k4_rlvect_1(U_7972,U_7970,U_7971),U_7969)
| ~ r1_rlvect_1(U_7969,U_7971) ) )
| ~ m1_rmod_2(U_7969,U_7973,U_7972) )
| ~ m1_subset_1(U_7970,u1_struct_0(U_7972)) )
| ~ m1_subset_1(U_7971,u1_struct_0(U_7972)) )
| ~ l1_vectsp_2(U_7972,U_7973)
| ~ v5_vectsp_2(U_7972,U_7973)
| ~ v6_rlvect_1(U_7972)
| ~ v5_rlvect_1(U_7972)
| ~ v4_rlvect_1(U_7972)
| ~ v3_rlvect_1(U_7972)
| v3_struct_0(U_7972) )
| ~ l3_vectsp_1(U_7973)
| ~ v8_vectsp_1(U_7973)
| ~ v7_vectsp_1(U_7973)
| ~ v6_vectsp_1(U_7973)
| ~ v4_group_1(U_7973)
| ~ v6_rlvect_1(U_7973)
| ~ v5_rlvect_1(U_7973)
| ~ v4_rlvect_1(U_7973)
| ~ v3_rlvect_1(U_7973)
| v3_struct_0(U_7973) ),
inference(variable_rename,[status(thm)],[f_3208_1]) ).
fof(f_3208_3,plain,
( ! [U_7969,U_7973,U_7972,U_7971,U_7970] :
( r1_rlvect_1(U_7969,U_7971)
| k3_rmod_2(U_7973,U_7972,U_7970,U_7969) != k3_rmod_2(U_7973,U_7972,k4_rlvect_1(U_7972,U_7970,U_7971),U_7969)
| ~ sP1422(U_7969,U_7973,U_7972,U_7971,U_7970) )
& ! [U_7969,U_7973,U_7972,U_7971,U_7970] :
( k3_rmod_2(U_7973,U_7972,U_7970,U_7969) = k3_rmod_2(U_7973,U_7972,k4_rlvect_1(U_7972,U_7970,U_7971),U_7969)
| ~ r1_rlvect_1(U_7969,U_7971)
| ~ sP1422(U_7969,U_7973,U_7972,U_7971,U_7970) )
& ! [U_7969,U_7973,U_7972,U_7971,U_7970] :
( sP1422(U_7969,U_7973,U_7972,U_7971,U_7970)
| ~ m1_rmod_2(U_7969,U_7973,U_7972)
| ~ m1_subset_1(U_7970,u1_struct_0(U_7972))
| ~ m1_subset_1(U_7971,u1_struct_0(U_7972))
| ~ l1_vectsp_2(U_7972,U_7973)
| ~ v5_vectsp_2(U_7972,U_7973)
| ~ v6_rlvect_1(U_7972)
| ~ v5_rlvect_1(U_7972)
| ~ v4_rlvect_1(U_7972)
| ~ v3_rlvect_1(U_7972)
| v3_struct_0(U_7972)
| ~ l3_vectsp_1(U_7973)
| ~ v8_vectsp_1(U_7973)
| ~ v7_vectsp_1(U_7973)
| ~ v6_vectsp_1(U_7973)
| ~ v4_group_1(U_7973)
| ~ v6_rlvect_1(U_7973)
| ~ v5_rlvect_1(U_7973)
| ~ v4_rlvect_1(U_7973)
| ~ v3_rlvect_1(U_7973)
| v3_struct_0(U_7973) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1422])],[f_3208_2]) ).
cnf(f_3208_4,plain,
( sP1422(U_7969,U_7973,U_7972,U_7971,U_7970)
| ~ m1_rmod_2(U_7969,U_7973,U_7972)
| ~ m1_subset_1(U_7970,u1_struct_0(U_7972))
| ~ m1_subset_1(U_7971,u1_struct_0(U_7972))
| ~ l1_vectsp_2(U_7972,U_7973)
| ~ v5_vectsp_2(U_7972,U_7973)
| ~ v6_rlvect_1(U_7972)
| ~ v5_rlvect_1(U_7972)
| ~ v4_rlvect_1(U_7972)
| ~ v3_rlvect_1(U_7972)
| v3_struct_0(U_7972)
| ~ l3_vectsp_1(U_7973)
| ~ v8_vectsp_1(U_7973)
| ~ v7_vectsp_1(U_7973)
| ~ v6_vectsp_1(U_7973)
| ~ v4_group_1(U_7973)
| ~ v6_rlvect_1(U_7973)
| ~ v5_rlvect_1(U_7973)
| ~ v4_rlvect_1(U_7973)
| ~ v3_rlvect_1(U_7973)
| v3_struct_0(U_7973) ),
inference(clausify,[status(thm)],[f_3208_3]) ).
cnf(f_3208_5,plain,
( k3_rmod_2(U_7973,U_7972,U_7970,U_7969) = k3_rmod_2(U_7973,U_7972,k4_rlvect_1(U_7972,U_7970,U_7971),U_7969)
| ~ r1_rlvect_1(U_7969,U_7971)
| ~ sP1422(U_7969,U_7973,U_7972,U_7971,U_7970) ),
inference(clausify,[status(thm)],[f_3208_3]) ).
cnf(f_3208_6,plain,
( r1_rlvect_1(U_7969,U_7971)
| k3_rmod_2(U_7973,U_7972,U_7970,U_7969) != k3_rmod_2(U_7973,U_7972,k4_rlvect_1(U_7972,U_7970,U_7971),U_7969)
| ~ sP1422(U_7969,U_7973,U_7972,U_7971,U_7970) ),
inference(clausify,[status(thm)],[f_3208_3]) ).
fof(f_3209_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r1_rlvect_1(E,C)
| k3_rmod_2(A,B,D,E) != k3_rmod_2(A,B,k6_rlvect_1(B,D,C),E) )
& ( k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,k6_rlvect_1(B,D,C),E)
| ~ r1_rlvect_1(E,C) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_rmod_2]) ).
fof(f_3209_2,plain,
! [U_7978] :
( ! [U_7977] :
( ! [U_7976] :
( ! [U_7975] :
( ! [U_7974] :
( ( ( r1_rlvect_1(U_7974,U_7976)
| k3_rmod_2(U_7978,U_7977,U_7975,U_7974) != k3_rmod_2(U_7978,U_7977,k6_rlvect_1(U_7977,U_7975,U_7976),U_7974) )
& ( k3_rmod_2(U_7978,U_7977,U_7975,U_7974) = k3_rmod_2(U_7978,U_7977,k6_rlvect_1(U_7977,U_7975,U_7976),U_7974)
| ~ r1_rlvect_1(U_7974,U_7976) ) )
| ~ m1_rmod_2(U_7974,U_7978,U_7977) )
| ~ m1_subset_1(U_7975,u1_struct_0(U_7977)) )
| ~ m1_subset_1(U_7976,u1_struct_0(U_7977)) )
| ~ l1_vectsp_2(U_7977,U_7978)
| ~ v5_vectsp_2(U_7977,U_7978)
| ~ v6_rlvect_1(U_7977)
| ~ v5_rlvect_1(U_7977)
| ~ v4_rlvect_1(U_7977)
| ~ v3_rlvect_1(U_7977)
| v3_struct_0(U_7977) )
| ~ l3_vectsp_1(U_7978)
| ~ v8_vectsp_1(U_7978)
| ~ v7_vectsp_1(U_7978)
| ~ v6_vectsp_1(U_7978)
| ~ v4_group_1(U_7978)
| ~ v6_rlvect_1(U_7978)
| ~ v5_rlvect_1(U_7978)
| ~ v4_rlvect_1(U_7978)
| ~ v3_rlvect_1(U_7978)
| v3_struct_0(U_7978) ),
inference(variable_rename,[status(thm)],[f_3209_1]) ).
fof(f_3209_3,plain,
( ! [U_7977,U_7976,U_7975,U_7974,U_7978] :
( r1_rlvect_1(U_7974,U_7976)
| k3_rmod_2(U_7978,U_7977,U_7975,U_7974) != k3_rmod_2(U_7978,U_7977,k6_rlvect_1(U_7977,U_7975,U_7976),U_7974)
| ~ sP1423(U_7977,U_7976,U_7975,U_7974,U_7978) )
& ! [U_7977,U_7976,U_7975,U_7974,U_7978] :
( k3_rmod_2(U_7978,U_7977,U_7975,U_7974) = k3_rmod_2(U_7978,U_7977,k6_rlvect_1(U_7977,U_7975,U_7976),U_7974)
| ~ r1_rlvect_1(U_7974,U_7976)
| ~ sP1423(U_7977,U_7976,U_7975,U_7974,U_7978) )
& ! [U_7977,U_7976,U_7975,U_7974,U_7978] :
( sP1423(U_7977,U_7976,U_7975,U_7974,U_7978)
| ~ m1_rmod_2(U_7974,U_7978,U_7977)
| ~ m1_subset_1(U_7975,u1_struct_0(U_7977))
| ~ m1_subset_1(U_7976,u1_struct_0(U_7977))
| ~ l1_vectsp_2(U_7977,U_7978)
| ~ v5_vectsp_2(U_7977,U_7978)
| ~ v6_rlvect_1(U_7977)
| ~ v5_rlvect_1(U_7977)
| ~ v4_rlvect_1(U_7977)
| ~ v3_rlvect_1(U_7977)
| v3_struct_0(U_7977)
| ~ l3_vectsp_1(U_7978)
| ~ v8_vectsp_1(U_7978)
| ~ v7_vectsp_1(U_7978)
| ~ v6_vectsp_1(U_7978)
| ~ v4_group_1(U_7978)
| ~ v6_rlvect_1(U_7978)
| ~ v5_rlvect_1(U_7978)
| ~ v4_rlvect_1(U_7978)
| ~ v3_rlvect_1(U_7978)
| v3_struct_0(U_7978) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1423])],[f_3209_2]) ).
cnf(f_3209_4,plain,
( sP1423(U_7977,U_7976,U_7975,U_7974,U_7978)
| ~ m1_rmod_2(U_7974,U_7978,U_7977)
| ~ m1_subset_1(U_7975,u1_struct_0(U_7977))
| ~ m1_subset_1(U_7976,u1_struct_0(U_7977))
| ~ l1_vectsp_2(U_7977,U_7978)
| ~ v5_vectsp_2(U_7977,U_7978)
| ~ v6_rlvect_1(U_7977)
| ~ v5_rlvect_1(U_7977)
| ~ v4_rlvect_1(U_7977)
| ~ v3_rlvect_1(U_7977)
| v3_struct_0(U_7977)
| ~ l3_vectsp_1(U_7978)
| ~ v8_vectsp_1(U_7978)
| ~ v7_vectsp_1(U_7978)
| ~ v6_vectsp_1(U_7978)
| ~ v4_group_1(U_7978)
| ~ v6_rlvect_1(U_7978)
| ~ v5_rlvect_1(U_7978)
| ~ v4_rlvect_1(U_7978)
| ~ v3_rlvect_1(U_7978)
| v3_struct_0(U_7978) ),
inference(clausify,[status(thm)],[f_3209_3]) ).
cnf(f_3209_5,plain,
( k3_rmod_2(U_7978,U_7977,U_7975,U_7974) = k3_rmod_2(U_7978,U_7977,k6_rlvect_1(U_7977,U_7975,U_7976),U_7974)
| ~ r1_rlvect_1(U_7974,U_7976)
| ~ sP1423(U_7977,U_7976,U_7975,U_7974,U_7978) ),
inference(clausify,[status(thm)],[f_3209_3]) ).
cnf(f_3209_6,plain,
( r1_rlvect_1(U_7974,U_7976)
| k3_rmod_2(U_7978,U_7977,U_7975,U_7974) != k3_rmod_2(U_7978,U_7977,k6_rlvect_1(U_7977,U_7975,U_7976),U_7974)
| ~ sP1423(U_7977,U_7976,U_7975,U_7974,U_7978) ),
inference(clausify,[status(thm)],[f_3209_3]) ).
fof(f_3210_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(C,k3_rmod_2(A,B,D,E))
| k3_rmod_2(A,B,D,E) != k3_rmod_2(A,B,C,E) )
& ( k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E)
| ~ r2_hidden(C,k3_rmod_2(A,B,D,E)) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_rmod_2]) ).
fof(f_3210_2,plain,
! [U_7983] :
( ! [U_7982] :
( ! [U_7981] :
( ! [U_7980] :
( ! [U_7979] :
( ( ( r2_hidden(U_7981,k3_rmod_2(U_7983,U_7982,U_7980,U_7979))
| k3_rmod_2(U_7983,U_7982,U_7980,U_7979) != k3_rmod_2(U_7983,U_7982,U_7981,U_7979) )
& ( k3_rmod_2(U_7983,U_7982,U_7980,U_7979) = k3_rmod_2(U_7983,U_7982,U_7981,U_7979)
| ~ r2_hidden(U_7981,k3_rmod_2(U_7983,U_7982,U_7980,U_7979)) ) )
| ~ m1_rmod_2(U_7979,U_7983,U_7982) )
| ~ m1_subset_1(U_7980,u1_struct_0(U_7982)) )
| ~ m1_subset_1(U_7981,u1_struct_0(U_7982)) )
| ~ l1_vectsp_2(U_7982,U_7983)
| ~ v5_vectsp_2(U_7982,U_7983)
| ~ v6_rlvect_1(U_7982)
| ~ v5_rlvect_1(U_7982)
| ~ v4_rlvect_1(U_7982)
| ~ v3_rlvect_1(U_7982)
| v3_struct_0(U_7982) )
| ~ l3_vectsp_1(U_7983)
| ~ v8_vectsp_1(U_7983)
| ~ v7_vectsp_1(U_7983)
| ~ v6_vectsp_1(U_7983)
| ~ v4_group_1(U_7983)
| ~ v6_rlvect_1(U_7983)
| ~ v5_rlvect_1(U_7983)
| ~ v4_rlvect_1(U_7983)
| ~ v3_rlvect_1(U_7983)
| v3_struct_0(U_7983) ),
inference(variable_rename,[status(thm)],[f_3210_1]) ).
fof(f_3210_3,plain,
( ! [U_7980,U_7983,U_7982,U_7981,U_7979] :
( r2_hidden(U_7981,k3_rmod_2(U_7983,U_7982,U_7980,U_7979))
| k3_rmod_2(U_7983,U_7982,U_7980,U_7979) != k3_rmod_2(U_7983,U_7982,U_7981,U_7979)
| ~ sP1424(U_7980,U_7983,U_7982,U_7981,U_7979) )
& ! [U_7980,U_7983,U_7982,U_7981,U_7979] :
( k3_rmod_2(U_7983,U_7982,U_7980,U_7979) = k3_rmod_2(U_7983,U_7982,U_7981,U_7979)
| ~ r2_hidden(U_7981,k3_rmod_2(U_7983,U_7982,U_7980,U_7979))
| ~ sP1424(U_7980,U_7983,U_7982,U_7981,U_7979) )
& ! [U_7980,U_7983,U_7982,U_7981,U_7979] :
( sP1424(U_7980,U_7983,U_7982,U_7981,U_7979)
| ~ m1_rmod_2(U_7979,U_7983,U_7982)
| ~ m1_subset_1(U_7980,u1_struct_0(U_7982))
| ~ m1_subset_1(U_7981,u1_struct_0(U_7982))
| ~ l1_vectsp_2(U_7982,U_7983)
| ~ v5_vectsp_2(U_7982,U_7983)
| ~ v6_rlvect_1(U_7982)
| ~ v5_rlvect_1(U_7982)
| ~ v4_rlvect_1(U_7982)
| ~ v3_rlvect_1(U_7982)
| v3_struct_0(U_7982)
| ~ l3_vectsp_1(U_7983)
| ~ v8_vectsp_1(U_7983)
| ~ v7_vectsp_1(U_7983)
| ~ v6_vectsp_1(U_7983)
| ~ v4_group_1(U_7983)
| ~ v6_rlvect_1(U_7983)
| ~ v5_rlvect_1(U_7983)
| ~ v4_rlvect_1(U_7983)
| ~ v3_rlvect_1(U_7983)
| v3_struct_0(U_7983) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1424])],[f_3210_2]) ).
cnf(f_3210_4,plain,
( sP1424(U_7980,U_7983,U_7982,U_7981,U_7979)
| ~ m1_rmod_2(U_7979,U_7983,U_7982)
| ~ m1_subset_1(U_7980,u1_struct_0(U_7982))
| ~ m1_subset_1(U_7981,u1_struct_0(U_7982))
| ~ l1_vectsp_2(U_7982,U_7983)
| ~ v5_vectsp_2(U_7982,U_7983)
| ~ v6_rlvect_1(U_7982)
| ~ v5_rlvect_1(U_7982)
| ~ v4_rlvect_1(U_7982)
| ~ v3_rlvect_1(U_7982)
| v3_struct_0(U_7982)
| ~ l3_vectsp_1(U_7983)
| ~ v8_vectsp_1(U_7983)
| ~ v7_vectsp_1(U_7983)
| ~ v6_vectsp_1(U_7983)
| ~ v4_group_1(U_7983)
| ~ v6_rlvect_1(U_7983)
| ~ v5_rlvect_1(U_7983)
| ~ v4_rlvect_1(U_7983)
| ~ v3_rlvect_1(U_7983)
| v3_struct_0(U_7983) ),
inference(clausify,[status(thm)],[f_3210_3]) ).
cnf(f_3210_5,plain,
( k3_rmod_2(U_7983,U_7982,U_7980,U_7979) = k3_rmod_2(U_7983,U_7982,U_7981,U_7979)
| ~ r2_hidden(U_7981,k3_rmod_2(U_7983,U_7982,U_7980,U_7979))
| ~ sP1424(U_7980,U_7983,U_7982,U_7981,U_7979) ),
inference(clausify,[status(thm)],[f_3210_3]) ).
cnf(f_3210_6,plain,
( r2_hidden(U_7981,k3_rmod_2(U_7983,U_7982,U_7980,U_7979))
| k3_rmod_2(U_7983,U_7982,U_7980,U_7979) != k3_rmod_2(U_7983,U_7982,U_7981,U_7979)
| ~ sP1424(U_7980,U_7983,U_7982,U_7981,U_7979) ),
inference(clausify,[status(thm)],[f_3210_3]) ).
fof(f_3211_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k3_rmod_2(A,B,D,F) = k3_rmod_2(A,B,E,F)
| ~ r2_hidden(C,k3_rmod_2(A,B,E,F))
| ~ r2_hidden(C,k3_rmod_2(A,B,D,F))
| ~ m1_rmod_2(F,A,B) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t69_rmod_2]) ).
fof(f_3211_2,plain,
! [U_7989] :
( ! [U_7988] :
( ! [U_7987] :
( ! [U_7986] :
( ! [U_7985] :
( ! [U_7984] :
( k3_rmod_2(U_7989,U_7988,U_7986,U_7984) = k3_rmod_2(U_7989,U_7988,U_7985,U_7984)
| ~ r2_hidden(U_7987,k3_rmod_2(U_7989,U_7988,U_7985,U_7984))
| ~ r2_hidden(U_7987,k3_rmod_2(U_7989,U_7988,U_7986,U_7984))
| ~ m1_rmod_2(U_7984,U_7989,U_7988) )
| ~ m1_subset_1(U_7985,u1_struct_0(U_7988)) )
| ~ m1_subset_1(U_7986,u1_struct_0(U_7988)) )
| ~ m1_subset_1(U_7987,u1_struct_0(U_7988)) )
| ~ l1_vectsp_2(U_7988,U_7989)
| ~ v5_vectsp_2(U_7988,U_7989)
| ~ v6_rlvect_1(U_7988)
| ~ v5_rlvect_1(U_7988)
| ~ v4_rlvect_1(U_7988)
| ~ v3_rlvect_1(U_7988)
| v3_struct_0(U_7988) )
| ~ l3_vectsp_1(U_7989)
| ~ v8_vectsp_1(U_7989)
| ~ v7_vectsp_1(U_7989)
| ~ v6_vectsp_1(U_7989)
| ~ v4_group_1(U_7989)
| ~ v6_rlvect_1(U_7989)
| ~ v5_rlvect_1(U_7989)
| ~ v4_rlvect_1(U_7989)
| ~ v3_rlvect_1(U_7989)
| v3_struct_0(U_7989) ),
inference(variable_rename,[status(thm)],[f_3211_1]) ).
fof(f_3211_3,plain,
! [U_7988,U_7987,U_7984,U_7989,U_7986,U_7985] :
( k3_rmod_2(U_7989,U_7988,U_7986,U_7984) = k3_rmod_2(U_7989,U_7988,U_7985,U_7984)
| ~ r2_hidden(U_7987,k3_rmod_2(U_7989,U_7988,U_7985,U_7984))
| ~ r2_hidden(U_7987,k3_rmod_2(U_7989,U_7988,U_7986,U_7984))
| ~ m1_rmod_2(U_7984,U_7989,U_7988)
| ~ m1_subset_1(U_7985,u1_struct_0(U_7988))
| ~ m1_subset_1(U_7986,u1_struct_0(U_7988))
| ~ m1_subset_1(U_7987,u1_struct_0(U_7988))
| ~ l1_vectsp_2(U_7988,U_7989)
| ~ v5_vectsp_2(U_7988,U_7989)
| ~ v6_rlvect_1(U_7988)
| ~ v5_rlvect_1(U_7988)
| ~ v4_rlvect_1(U_7988)
| ~ v3_rlvect_1(U_7988)
| v3_struct_0(U_7988)
| ~ l3_vectsp_1(U_7989)
| ~ v8_vectsp_1(U_7989)
| ~ v7_vectsp_1(U_7989)
| ~ v6_vectsp_1(U_7989)
| ~ v4_group_1(U_7989)
| ~ v6_rlvect_1(U_7989)
| ~ v5_rlvect_1(U_7989)
| ~ v4_rlvect_1(U_7989)
| ~ v3_rlvect_1(U_7989)
| v3_struct_0(U_7989) ),
inference(definitional_conversion,[status(esa)],[f_3211_2]) ).
cnf(f_3211_4,plain,
( k3_rmod_2(U_7989,U_7988,U_7986,U_7984) = k3_rmod_2(U_7989,U_7988,U_7985,U_7984)
| ~ r2_hidden(U_7987,k3_rmod_2(U_7989,U_7988,U_7985,U_7984))
| ~ r2_hidden(U_7987,k3_rmod_2(U_7989,U_7988,U_7986,U_7984))
| ~ m1_rmod_2(U_7984,U_7989,U_7988)
| ~ m1_subset_1(U_7985,u1_struct_0(U_7988))
| ~ m1_subset_1(U_7986,u1_struct_0(U_7988))
| ~ m1_subset_1(U_7987,u1_struct_0(U_7988))
| ~ l1_vectsp_2(U_7988,U_7989)
| ~ v5_vectsp_2(U_7988,U_7989)
| ~ v6_rlvect_1(U_7988)
| ~ v5_rlvect_1(U_7988)
| ~ v4_rlvect_1(U_7988)
| ~ v3_rlvect_1(U_7988)
| v3_struct_0(U_7988)
| ~ l3_vectsp_1(U_7989)
| ~ v8_vectsp_1(U_7989)
| ~ v7_vectsp_1(U_7989)
| ~ v6_vectsp_1(U_7989)
| ~ v4_group_1(U_7989)
| ~ v6_rlvect_1(U_7989)
| ~ v5_rlvect_1(U_7989)
| ~ v4_rlvect_1(U_7989)
| ~ v3_rlvect_1(U_7989)
| v3_struct_0(U_7989) ),
inference(clausify,[status(thm)],[f_3211_3]) ).
fof(f_3212_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r2_hidden(k6_vectsp_2(A,C,B,D),k3_rmod_2(A,C,D,E))
| ~ r1_rlvect_1(E,D)
| ~ m1_rmod_2(E,A,C) )
| ~ m1_subset_1(D,u1_struct_0(C)) )
| ~ l1_vectsp_2(C,A)
| ~ v5_vectsp_2(C,A)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t70_rmod_2]) ).
fof(f_3212_2,plain,
! [U_7994] :
( ! [U_7993] :
( ! [U_7992] :
( ! [U_7991] :
( ! [U_7990] :
( r2_hidden(k6_vectsp_2(U_7994,U_7992,U_7993,U_7991),k3_rmod_2(U_7994,U_7992,U_7991,U_7990))
| ~ r1_rlvect_1(U_7990,U_7991)
| ~ m1_rmod_2(U_7990,U_7994,U_7992) )
| ~ m1_subset_1(U_7991,u1_struct_0(U_7992)) )
| ~ l1_vectsp_2(U_7992,U_7994)
| ~ v5_vectsp_2(U_7992,U_7994)
| ~ v6_rlvect_1(U_7992)
| ~ v5_rlvect_1(U_7992)
| ~ v4_rlvect_1(U_7992)
| ~ v3_rlvect_1(U_7992)
| v3_struct_0(U_7992) )
| ~ m1_subset_1(U_7993,u1_struct_0(U_7994)) )
| ~ l3_vectsp_1(U_7994)
| ~ v8_vectsp_1(U_7994)
| ~ v7_vectsp_1(U_7994)
| ~ v6_vectsp_1(U_7994)
| ~ v4_group_1(U_7994)
| ~ v6_rlvect_1(U_7994)
| ~ v5_rlvect_1(U_7994)
| ~ v4_rlvect_1(U_7994)
| ~ v3_rlvect_1(U_7994)
| v3_struct_0(U_7994) ),
inference(variable_rename,[status(thm)],[f_3212_1]) ).
fof(f_3212_3,plain,
! [U_7990,U_7993,U_7991,U_7994,U_7992] :
( r2_hidden(k6_vectsp_2(U_7994,U_7992,U_7993,U_7991),k3_rmod_2(U_7994,U_7992,U_7991,U_7990))
| ~ r1_rlvect_1(U_7990,U_7991)
| ~ m1_rmod_2(U_7990,U_7994,U_7992)
| ~ m1_subset_1(U_7991,u1_struct_0(U_7992))
| ~ l1_vectsp_2(U_7992,U_7994)
| ~ v5_vectsp_2(U_7992,U_7994)
| ~ v6_rlvect_1(U_7992)
| ~ v5_rlvect_1(U_7992)
| ~ v4_rlvect_1(U_7992)
| ~ v3_rlvect_1(U_7992)
| v3_struct_0(U_7992)
| ~ m1_subset_1(U_7993,u1_struct_0(U_7994))
| ~ l3_vectsp_1(U_7994)
| ~ v8_vectsp_1(U_7994)
| ~ v7_vectsp_1(U_7994)
| ~ v6_vectsp_1(U_7994)
| ~ v4_group_1(U_7994)
| ~ v6_rlvect_1(U_7994)
| ~ v5_rlvect_1(U_7994)
| ~ v4_rlvect_1(U_7994)
| ~ v3_rlvect_1(U_7994)
| v3_struct_0(U_7994) ),
inference(definitional_conversion,[status(esa)],[f_3212_2]) ).
cnf(f_3212_4,plain,
( r2_hidden(k6_vectsp_2(U_7994,U_7992,U_7993,U_7991),k3_rmod_2(U_7994,U_7992,U_7991,U_7990))
| ~ r1_rlvect_1(U_7990,U_7991)
| ~ m1_rmod_2(U_7990,U_7994,U_7992)
| ~ m1_subset_1(U_7991,u1_struct_0(U_7992))
| ~ l1_vectsp_2(U_7992,U_7994)
| ~ v5_vectsp_2(U_7992,U_7994)
| ~ v6_rlvect_1(U_7992)
| ~ v5_rlvect_1(U_7992)
| ~ v4_rlvect_1(U_7992)
| ~ v3_rlvect_1(U_7992)
| v3_struct_0(U_7992)
| ~ m1_subset_1(U_7993,u1_struct_0(U_7994))
| ~ l3_vectsp_1(U_7994)
| ~ v8_vectsp_1(U_7994)
| ~ v7_vectsp_1(U_7994)
| ~ v6_vectsp_1(U_7994)
| ~ v4_group_1(U_7994)
| ~ v6_rlvect_1(U_7994)
| ~ v5_rlvect_1(U_7994)
| ~ v4_rlvect_1(U_7994)
| ~ v3_rlvect_1(U_7994)
| v3_struct_0(U_7994) ),
inference(clausify,[status(thm)],[f_3212_3]) ).
fof(f_3213_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r2_hidden(k5_rlvect_1(B,C),k3_rmod_2(A,B,C,D))
| ~ r1_rlvect_1(D,C)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t71_rmod_2]) ).
fof(f_3213_2,plain,
! [U_7998] :
( ! [U_7997] :
( ! [U_7996] :
( ! [U_7995] :
( r2_hidden(k5_rlvect_1(U_7997,U_7996),k3_rmod_2(U_7998,U_7997,U_7996,U_7995))
| ~ r1_rlvect_1(U_7995,U_7996)
| ~ m1_rmod_2(U_7995,U_7998,U_7997) )
| ~ m1_subset_1(U_7996,u1_struct_0(U_7997)) )
| ~ l1_vectsp_2(U_7997,U_7998)
| ~ v5_vectsp_2(U_7997,U_7998)
| ~ v6_rlvect_1(U_7997)
| ~ v5_rlvect_1(U_7997)
| ~ v4_rlvect_1(U_7997)
| ~ v3_rlvect_1(U_7997)
| v3_struct_0(U_7997) )
| ~ l3_vectsp_1(U_7998)
| ~ v8_vectsp_1(U_7998)
| ~ v7_vectsp_1(U_7998)
| ~ v6_vectsp_1(U_7998)
| ~ v4_group_1(U_7998)
| ~ v6_rlvect_1(U_7998)
| ~ v5_rlvect_1(U_7998)
| ~ v4_rlvect_1(U_7998)
| ~ v3_rlvect_1(U_7998)
| v3_struct_0(U_7998) ),
inference(variable_rename,[status(thm)],[f_3213_1]) ).
fof(f_3213_3,plain,
! [U_7998,U_7995,U_7997,U_7996] :
( r2_hidden(k5_rlvect_1(U_7997,U_7996),k3_rmod_2(U_7998,U_7997,U_7996,U_7995))
| ~ r1_rlvect_1(U_7995,U_7996)
| ~ m1_rmod_2(U_7995,U_7998,U_7997)
| ~ m1_subset_1(U_7996,u1_struct_0(U_7997))
| ~ l1_vectsp_2(U_7997,U_7998)
| ~ v5_vectsp_2(U_7997,U_7998)
| ~ v6_rlvect_1(U_7997)
| ~ v5_rlvect_1(U_7997)
| ~ v4_rlvect_1(U_7997)
| ~ v3_rlvect_1(U_7997)
| v3_struct_0(U_7997)
| ~ l3_vectsp_1(U_7998)
| ~ v8_vectsp_1(U_7998)
| ~ v7_vectsp_1(U_7998)
| ~ v6_vectsp_1(U_7998)
| ~ v4_group_1(U_7998)
| ~ v6_rlvect_1(U_7998)
| ~ v5_rlvect_1(U_7998)
| ~ v4_rlvect_1(U_7998)
| ~ v3_rlvect_1(U_7998)
| v3_struct_0(U_7998) ),
inference(definitional_conversion,[status(esa)],[f_3213_2]) ).
cnf(f_3213_4,plain,
( r2_hidden(k5_rlvect_1(U_7997,U_7996),k3_rmod_2(U_7998,U_7997,U_7996,U_7995))
| ~ r1_rlvect_1(U_7995,U_7996)
| ~ m1_rmod_2(U_7995,U_7998,U_7997)
| ~ m1_subset_1(U_7996,u1_struct_0(U_7997))
| ~ l1_vectsp_2(U_7997,U_7998)
| ~ v5_vectsp_2(U_7997,U_7998)
| ~ v6_rlvect_1(U_7997)
| ~ v5_rlvect_1(U_7997)
| ~ v4_rlvect_1(U_7997)
| ~ v3_rlvect_1(U_7997)
| v3_struct_0(U_7997)
| ~ l3_vectsp_1(U_7998)
| ~ v8_vectsp_1(U_7998)
| ~ v7_vectsp_1(U_7998)
| ~ v6_vectsp_1(U_7998)
| ~ v4_group_1(U_7998)
| ~ v6_rlvect_1(U_7998)
| ~ v5_rlvect_1(U_7998)
| ~ v4_rlvect_1(U_7998)
| ~ v3_rlvect_1(U_7998)
| v3_struct_0(U_7998) ),
inference(clausify,[status(thm)],[f_3213_3]) ).
fof(f_3214_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(k4_rlvect_1(B,C,D),k3_rmod_2(A,B,D,E))
| ~ r1_rlvect_1(E,C) )
& ( r1_rlvect_1(E,C)
| ~ r2_hidden(k4_rlvect_1(B,C,D),k3_rmod_2(A,B,D,E)) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t72_rmod_2]) ).
fof(f_3214_2,plain,
! [U_8003] :
( ! [U_8002] :
( ! [U_8001] :
( ! [U_8000] :
( ! [U_7999] :
( ( ( r2_hidden(k4_rlvect_1(U_8002,U_8001,U_8000),k3_rmod_2(U_8003,U_8002,U_8000,U_7999))
| ~ r1_rlvect_1(U_7999,U_8001) )
& ( r1_rlvect_1(U_7999,U_8001)
| ~ r2_hidden(k4_rlvect_1(U_8002,U_8001,U_8000),k3_rmod_2(U_8003,U_8002,U_8000,U_7999)) ) )
| ~ m1_rmod_2(U_7999,U_8003,U_8002) )
| ~ m1_subset_1(U_8000,u1_struct_0(U_8002)) )
| ~ m1_subset_1(U_8001,u1_struct_0(U_8002)) )
| ~ l1_vectsp_2(U_8002,U_8003)
| ~ v5_vectsp_2(U_8002,U_8003)
| ~ v6_rlvect_1(U_8002)
| ~ v5_rlvect_1(U_8002)
| ~ v4_rlvect_1(U_8002)
| ~ v3_rlvect_1(U_8002)
| v3_struct_0(U_8002) )
| ~ l3_vectsp_1(U_8003)
| ~ v8_vectsp_1(U_8003)
| ~ v7_vectsp_1(U_8003)
| ~ v6_vectsp_1(U_8003)
| ~ v4_group_1(U_8003)
| ~ v6_rlvect_1(U_8003)
| ~ v5_rlvect_1(U_8003)
| ~ v4_rlvect_1(U_8003)
| ~ v3_rlvect_1(U_8003)
| v3_struct_0(U_8003) ),
inference(variable_rename,[status(thm)],[f_3214_1]) ).
fof(f_3214_3,plain,
( ! [U_7999,U_8002,U_8003,U_8001,U_8000] :
( r2_hidden(k4_rlvect_1(U_8002,U_8001,U_8000),k3_rmod_2(U_8003,U_8002,U_8000,U_7999))
| ~ r1_rlvect_1(U_7999,U_8001)
| ~ sP1425(U_7999,U_8002,U_8003,U_8001,U_8000) )
& ! [U_7999,U_8002,U_8003,U_8001,U_8000] :
( r1_rlvect_1(U_7999,U_8001)
| ~ r2_hidden(k4_rlvect_1(U_8002,U_8001,U_8000),k3_rmod_2(U_8003,U_8002,U_8000,U_7999))
| ~ sP1425(U_7999,U_8002,U_8003,U_8001,U_8000) )
& ! [U_7999,U_8002,U_8003,U_8001,U_8000] :
( sP1425(U_7999,U_8002,U_8003,U_8001,U_8000)
| ~ m1_rmod_2(U_7999,U_8003,U_8002)
| ~ m1_subset_1(U_8000,u1_struct_0(U_8002))
| ~ m1_subset_1(U_8001,u1_struct_0(U_8002))
| ~ l1_vectsp_2(U_8002,U_8003)
| ~ v5_vectsp_2(U_8002,U_8003)
| ~ v6_rlvect_1(U_8002)
| ~ v5_rlvect_1(U_8002)
| ~ v4_rlvect_1(U_8002)
| ~ v3_rlvect_1(U_8002)
| v3_struct_0(U_8002)
| ~ l3_vectsp_1(U_8003)
| ~ v8_vectsp_1(U_8003)
| ~ v7_vectsp_1(U_8003)
| ~ v6_vectsp_1(U_8003)
| ~ v4_group_1(U_8003)
| ~ v6_rlvect_1(U_8003)
| ~ v5_rlvect_1(U_8003)
| ~ v4_rlvect_1(U_8003)
| ~ v3_rlvect_1(U_8003)
| v3_struct_0(U_8003) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1425])],[f_3214_2]) ).
cnf(f_3214_4,plain,
( sP1425(U_7999,U_8002,U_8003,U_8001,U_8000)
| ~ m1_rmod_2(U_7999,U_8003,U_8002)
| ~ m1_subset_1(U_8000,u1_struct_0(U_8002))
| ~ m1_subset_1(U_8001,u1_struct_0(U_8002))
| ~ l1_vectsp_2(U_8002,U_8003)
| ~ v5_vectsp_2(U_8002,U_8003)
| ~ v6_rlvect_1(U_8002)
| ~ v5_rlvect_1(U_8002)
| ~ v4_rlvect_1(U_8002)
| ~ v3_rlvect_1(U_8002)
| v3_struct_0(U_8002)
| ~ l3_vectsp_1(U_8003)
| ~ v8_vectsp_1(U_8003)
| ~ v7_vectsp_1(U_8003)
| ~ v6_vectsp_1(U_8003)
| ~ v4_group_1(U_8003)
| ~ v6_rlvect_1(U_8003)
| ~ v5_rlvect_1(U_8003)
| ~ v4_rlvect_1(U_8003)
| ~ v3_rlvect_1(U_8003)
| v3_struct_0(U_8003) ),
inference(clausify,[status(thm)],[f_3214_3]) ).
cnf(f_3214_5,plain,
( r1_rlvect_1(U_7999,U_8001)
| ~ r2_hidden(k4_rlvect_1(U_8002,U_8001,U_8000),k3_rmod_2(U_8003,U_8002,U_8000,U_7999))
| ~ sP1425(U_7999,U_8002,U_8003,U_8001,U_8000) ),
inference(clausify,[status(thm)],[f_3214_3]) ).
cnf(f_3214_6,plain,
( r2_hidden(k4_rlvect_1(U_8002,U_8001,U_8000),k3_rmod_2(U_8003,U_8002,U_8000,U_7999))
| ~ r1_rlvect_1(U_7999,U_8001)
| ~ sP1425(U_7999,U_8002,U_8003,U_8001,U_8000) ),
inference(clausify,[status(thm)],[f_3214_3]) ).
fof(f_3215_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(k6_rlvect_1(B,C,D),k3_rmod_2(A,B,C,E))
| ~ r1_rlvect_1(E,D) )
& ( r1_rlvect_1(E,D)
| ~ r2_hidden(k6_rlvect_1(B,C,D),k3_rmod_2(A,B,C,E)) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t73_rmod_2]) ).
fof(f_3215_2,plain,
! [U_8008] :
( ! [U_8007] :
( ! [U_8006] :
( ! [U_8005] :
( ! [U_8004] :
( ( ( r2_hidden(k6_rlvect_1(U_8007,U_8006,U_8005),k3_rmod_2(U_8008,U_8007,U_8006,U_8004))
| ~ r1_rlvect_1(U_8004,U_8005) )
& ( r1_rlvect_1(U_8004,U_8005)
| ~ r2_hidden(k6_rlvect_1(U_8007,U_8006,U_8005),k3_rmod_2(U_8008,U_8007,U_8006,U_8004)) ) )
| ~ m1_rmod_2(U_8004,U_8008,U_8007) )
| ~ m1_subset_1(U_8005,u1_struct_0(U_8007)) )
| ~ m1_subset_1(U_8006,u1_struct_0(U_8007)) )
| ~ l1_vectsp_2(U_8007,U_8008)
| ~ v5_vectsp_2(U_8007,U_8008)
| ~ v6_rlvect_1(U_8007)
| ~ v5_rlvect_1(U_8007)
| ~ v4_rlvect_1(U_8007)
| ~ v3_rlvect_1(U_8007)
| v3_struct_0(U_8007) )
| ~ l3_vectsp_1(U_8008)
| ~ v8_vectsp_1(U_8008)
| ~ v7_vectsp_1(U_8008)
| ~ v6_vectsp_1(U_8008)
| ~ v4_group_1(U_8008)
| ~ v6_rlvect_1(U_8008)
| ~ v5_rlvect_1(U_8008)
| ~ v4_rlvect_1(U_8008)
| ~ v3_rlvect_1(U_8008)
| v3_struct_0(U_8008) ),
inference(variable_rename,[status(thm)],[f_3215_1]) ).
fof(f_3215_3,plain,
( ! [U_8008,U_8005,U_8007,U_8004,U_8006] :
( r2_hidden(k6_rlvect_1(U_8007,U_8006,U_8005),k3_rmod_2(U_8008,U_8007,U_8006,U_8004))
| ~ r1_rlvect_1(U_8004,U_8005)
| ~ sP1426(U_8008,U_8005,U_8007,U_8004,U_8006) )
& ! [U_8008,U_8005,U_8007,U_8004,U_8006] :
( r1_rlvect_1(U_8004,U_8005)
| ~ r2_hidden(k6_rlvect_1(U_8007,U_8006,U_8005),k3_rmod_2(U_8008,U_8007,U_8006,U_8004))
| ~ sP1426(U_8008,U_8005,U_8007,U_8004,U_8006) )
& ! [U_8008,U_8005,U_8007,U_8004,U_8006] :
( sP1426(U_8008,U_8005,U_8007,U_8004,U_8006)
| ~ m1_rmod_2(U_8004,U_8008,U_8007)
| ~ m1_subset_1(U_8005,u1_struct_0(U_8007))
| ~ m1_subset_1(U_8006,u1_struct_0(U_8007))
| ~ l1_vectsp_2(U_8007,U_8008)
| ~ v5_vectsp_2(U_8007,U_8008)
| ~ v6_rlvect_1(U_8007)
| ~ v5_rlvect_1(U_8007)
| ~ v4_rlvect_1(U_8007)
| ~ v3_rlvect_1(U_8007)
| v3_struct_0(U_8007)
| ~ l3_vectsp_1(U_8008)
| ~ v8_vectsp_1(U_8008)
| ~ v7_vectsp_1(U_8008)
| ~ v6_vectsp_1(U_8008)
| ~ v4_group_1(U_8008)
| ~ v6_rlvect_1(U_8008)
| ~ v5_rlvect_1(U_8008)
| ~ v4_rlvect_1(U_8008)
| ~ v3_rlvect_1(U_8008)
| v3_struct_0(U_8008) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1426])],[f_3215_2]) ).
cnf(f_3215_4,plain,
( sP1426(U_8008,U_8005,U_8007,U_8004,U_8006)
| ~ m1_rmod_2(U_8004,U_8008,U_8007)
| ~ m1_subset_1(U_8005,u1_struct_0(U_8007))
| ~ m1_subset_1(U_8006,u1_struct_0(U_8007))
| ~ l1_vectsp_2(U_8007,U_8008)
| ~ v5_vectsp_2(U_8007,U_8008)
| ~ v6_rlvect_1(U_8007)
| ~ v5_rlvect_1(U_8007)
| ~ v4_rlvect_1(U_8007)
| ~ v3_rlvect_1(U_8007)
| v3_struct_0(U_8007)
| ~ l3_vectsp_1(U_8008)
| ~ v8_vectsp_1(U_8008)
| ~ v7_vectsp_1(U_8008)
| ~ v6_vectsp_1(U_8008)
| ~ v4_group_1(U_8008)
| ~ v6_rlvect_1(U_8008)
| ~ v5_rlvect_1(U_8008)
| ~ v4_rlvect_1(U_8008)
| ~ v3_rlvect_1(U_8008)
| v3_struct_0(U_8008) ),
inference(clausify,[status(thm)],[f_3215_3]) ).
cnf(f_3215_5,plain,
( r1_rlvect_1(U_8004,U_8005)
| ~ r2_hidden(k6_rlvect_1(U_8007,U_8006,U_8005),k3_rmod_2(U_8008,U_8007,U_8006,U_8004))
| ~ sP1426(U_8008,U_8005,U_8007,U_8004,U_8006) ),
inference(clausify,[status(thm)],[f_3215_3]) ).
cnf(f_3215_6,plain,
( r2_hidden(k6_rlvect_1(U_8007,U_8006,U_8005),k3_rmod_2(U_8008,U_8007,U_8006,U_8004))
| ~ r1_rlvect_1(U_8004,U_8005)
| ~ sP1426(U_8008,U_8005,U_8007,U_8004,U_8006) ),
inference(clausify,[status(thm)],[f_3215_3]) ).
fof(f_3216_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t74_rmod_2]) ).
fof(f_3216_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3216_1]) ).
cnf(f_3216_3,plain,
$true,
inference(clausify,[status(thm)],[f_3216_2]) ).
fof(f_3217_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(C,k3_rmod_2(A,B,D,E))
| ! [F] :
( C != k6_rlvect_1(B,D,F)
| ~ r1_rlvect_1(E,F)
| ~ m1_subset_1(F,u1_struct_0(B)) ) )
& ( ? [F] :
( C = k6_rlvect_1(B,D,F)
& r1_rlvect_1(E,F)
& m1_subset_1(F,u1_struct_0(B)) )
| ~ r2_hidden(C,k3_rmod_2(A,B,D,E)) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t75_rmod_2]) ).
fof(f_3217_2,plain,
! [U_8015] :
( ! [U_8014] :
( ! [U_8013] :
( ! [U_8012] :
( ! [U_8011] :
( ( ( r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011))
| ! [U_8010] :
( U_8013 != k6_rlvect_1(U_8014,U_8012,U_8010)
| ~ r1_rlvect_1(U_8011,U_8010)
| ~ m1_subset_1(U_8010,u1_struct_0(U_8014)) ) )
& ( ? [U_8009] :
( U_8013 = k6_rlvect_1(U_8014,U_8012,U_8009)
& r1_rlvect_1(U_8011,U_8009)
& m1_subset_1(U_8009,u1_struct_0(U_8014)) )
| ~ r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011)) ) )
| ~ m1_rmod_2(U_8011,U_8015,U_8014) )
| ~ m1_subset_1(U_8012,u1_struct_0(U_8014)) )
| ~ m1_subset_1(U_8013,u1_struct_0(U_8014)) )
| ~ l1_vectsp_2(U_8014,U_8015)
| ~ v5_vectsp_2(U_8014,U_8015)
| ~ v6_rlvect_1(U_8014)
| ~ v5_rlvect_1(U_8014)
| ~ v4_rlvect_1(U_8014)
| ~ v3_rlvect_1(U_8014)
| v3_struct_0(U_8014) )
| ~ l3_vectsp_1(U_8015)
| ~ v8_vectsp_1(U_8015)
| ~ v7_vectsp_1(U_8015)
| ~ v6_vectsp_1(U_8015)
| ~ v4_group_1(U_8015)
| ~ v6_rlvect_1(U_8015)
| ~ v5_rlvect_1(U_8015)
| ~ v4_rlvect_1(U_8015)
| ~ v3_rlvect_1(U_8015)
| v3_struct_0(U_8015) ),
inference(variable_rename,[status(thm)],[f_3217_1]) ).
fof(f_3217_3,plain,
! [U_8015] :
( ! [U_8014] :
( ! [U_8013] :
( ! [U_8012] :
( ! [U_8011] :
( ( ( r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011))
| ! [U_8010] :
( U_8013 != k6_rlvect_1(U_8014,U_8012,U_8010)
| ~ r1_rlvect_1(U_8011,U_8010)
| ~ m1_subset_1(U_8010,u1_struct_0(U_8014)) ) )
& ( ( U_8013 = k6_rlvect_1(U_8014,U_8012,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))
& r1_rlvect_1(U_8011,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))
& m1_subset_1(sK947(U_8015,U_8014,U_8013,U_8012,U_8011),u1_struct_0(U_8014)) )
| ~ r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011)) ) )
| ~ m1_rmod_2(U_8011,U_8015,U_8014) )
| ~ m1_subset_1(U_8012,u1_struct_0(U_8014)) )
| ~ m1_subset_1(U_8013,u1_struct_0(U_8014)) )
| ~ l1_vectsp_2(U_8014,U_8015)
| ~ v5_vectsp_2(U_8014,U_8015)
| ~ v6_rlvect_1(U_8014)
| ~ v5_rlvect_1(U_8014)
| ~ v4_rlvect_1(U_8014)
| ~ v3_rlvect_1(U_8014)
| v3_struct_0(U_8014) )
| ~ l3_vectsp_1(U_8015)
| ~ v8_vectsp_1(U_8015)
| ~ v7_vectsp_1(U_8015)
| ~ v6_vectsp_1(U_8015)
| ~ v4_group_1(U_8015)
| ~ v6_rlvect_1(U_8015)
| ~ v5_rlvect_1(U_8015)
| ~ v4_rlvect_1(U_8015)
| ~ v3_rlvect_1(U_8015)
| v3_struct_0(U_8015) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK947]),skolemize(U_8009,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))],[f_3217_2]) ).
fof(f_3217_4,plain,
( ! [U_8012,U_8013,U_8014,U_8015,U_8011] :
( U_8013 = k6_rlvect_1(U_8014,U_8012,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))
| ~ sP1427(U_8012,U_8013,U_8014,U_8015,U_8011) )
& ! [U_8012,U_8013,U_8014,U_8015,U_8011] :
( r1_rlvect_1(U_8011,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))
| ~ sP1427(U_8012,U_8013,U_8014,U_8015,U_8011) )
& ! [U_8012,U_8013,U_8014,U_8015,U_8011] :
( m1_subset_1(sK947(U_8015,U_8014,U_8013,U_8012,U_8011),u1_struct_0(U_8014))
| ~ sP1427(U_8012,U_8013,U_8014,U_8015,U_8011) )
& ! [U_8012,U_8013,U_8014,U_8015,U_8011,U_8010] :
( r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011))
| U_8013 != k6_rlvect_1(U_8014,U_8012,U_8010)
| ~ r1_rlvect_1(U_8011,U_8010)
| ~ m1_subset_1(U_8010,u1_struct_0(U_8014))
| ~ sP1428(U_8012,U_8013,U_8014,U_8015,U_8011,U_8010) )
& ! [U_8012,U_8013,U_8014,U_8015,U_8011,U_8010] :
( sP1427(U_8012,U_8013,U_8014,U_8015,U_8011)
| ~ r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011))
| ~ sP1428(U_8012,U_8013,U_8014,U_8015,U_8011,U_8010) )
& ! [U_8012,U_8013,U_8014,U_8015,U_8011,U_8010] :
( sP1428(U_8012,U_8013,U_8014,U_8015,U_8011,U_8010)
| ~ m1_rmod_2(U_8011,U_8015,U_8014)
| ~ m1_subset_1(U_8012,u1_struct_0(U_8014))
| ~ m1_subset_1(U_8013,u1_struct_0(U_8014))
| ~ l1_vectsp_2(U_8014,U_8015)
| ~ v5_vectsp_2(U_8014,U_8015)
| ~ v6_rlvect_1(U_8014)
| ~ v5_rlvect_1(U_8014)
| ~ v4_rlvect_1(U_8014)
| ~ v3_rlvect_1(U_8014)
| v3_struct_0(U_8014)
| ~ l3_vectsp_1(U_8015)
| ~ v8_vectsp_1(U_8015)
| ~ v7_vectsp_1(U_8015)
| ~ v6_vectsp_1(U_8015)
| ~ v4_group_1(U_8015)
| ~ v6_rlvect_1(U_8015)
| ~ v5_rlvect_1(U_8015)
| ~ v4_rlvect_1(U_8015)
| ~ v3_rlvect_1(U_8015)
| v3_struct_0(U_8015) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1427,sP1428])],[f_3217_3]) ).
cnf(f_3217_5,plain,
( sP1428(U_8012,U_8013,U_8014,U_8015,U_8011,U_8010)
| ~ m1_rmod_2(U_8011,U_8015,U_8014)
| ~ m1_subset_1(U_8012,u1_struct_0(U_8014))
| ~ m1_subset_1(U_8013,u1_struct_0(U_8014))
| ~ l1_vectsp_2(U_8014,U_8015)
| ~ v5_vectsp_2(U_8014,U_8015)
| ~ v6_rlvect_1(U_8014)
| ~ v5_rlvect_1(U_8014)
| ~ v4_rlvect_1(U_8014)
| ~ v3_rlvect_1(U_8014)
| v3_struct_0(U_8014)
| ~ l3_vectsp_1(U_8015)
| ~ v8_vectsp_1(U_8015)
| ~ v7_vectsp_1(U_8015)
| ~ v6_vectsp_1(U_8015)
| ~ v4_group_1(U_8015)
| ~ v6_rlvect_1(U_8015)
| ~ v5_rlvect_1(U_8015)
| ~ v4_rlvect_1(U_8015)
| ~ v3_rlvect_1(U_8015)
| v3_struct_0(U_8015) ),
inference(clausify,[status(thm)],[f_3217_4]) ).
cnf(f_3217_6,plain,
( sP1427(U_8012,U_8013,U_8014,U_8015,U_8011)
| ~ r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011))
| ~ sP1428(U_8012,U_8013,U_8014,U_8015,U_8011,U_8010) ),
inference(clausify,[status(thm)],[f_3217_4]) ).
cnf(f_3217_7,plain,
( r2_hidden(U_8013,k3_rmod_2(U_8015,U_8014,U_8012,U_8011))
| U_8013 != k6_rlvect_1(U_8014,U_8012,U_8010)
| ~ r1_rlvect_1(U_8011,U_8010)
| ~ m1_subset_1(U_8010,u1_struct_0(U_8014))
| ~ sP1428(U_8012,U_8013,U_8014,U_8015,U_8011,U_8010) ),
inference(clausify,[status(thm)],[f_3217_4]) ).
cnf(f_3217_8,plain,
( m1_subset_1(sK947(U_8015,U_8014,U_8013,U_8012,U_8011),u1_struct_0(U_8014))
| ~ sP1427(U_8012,U_8013,U_8014,U_8015,U_8011) ),
inference(clausify,[status(thm)],[f_3217_4]) ).
cnf(f_3217_9,plain,
( r1_rlvect_1(U_8011,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))
| ~ sP1427(U_8012,U_8013,U_8014,U_8015,U_8011) ),
inference(clausify,[status(thm)],[f_3217_4]) ).
cnf(f_3217_10,plain,
( U_8013 = k6_rlvect_1(U_8014,U_8012,sK947(U_8015,U_8014,U_8013,U_8012,U_8011))
| ~ sP1427(U_8012,U_8013,U_8014,U_8015,U_8011) ),
inference(clausify,[status(thm)],[f_3217_4]) ).
fof(f_3218_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( ? [F] :
( r2_hidden(D,k3_rmod_2(A,B,F,E))
& r2_hidden(C,k3_rmod_2(A,B,F,E))
& m1_subset_1(F,u1_struct_0(B)) )
| ~ r1_rlvect_1(E,k6_rlvect_1(B,C,D)) )
& ( r1_rlvect_1(E,k6_rlvect_1(B,C,D))
| ! [F] :
( ~ r2_hidden(D,k3_rmod_2(A,B,F,E))
| ~ r2_hidden(C,k3_rmod_2(A,B,F,E))
| ~ m1_subset_1(F,u1_struct_0(B)) ) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t76_rmod_2]) ).
fof(f_3218_2,plain,
! [U_8022] :
( ! [U_8021] :
( ! [U_8020] :
( ! [U_8019] :
( ! [U_8018] :
( ( ( ? [U_8017] :
( r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,U_8017,U_8018))
& r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,U_8017,U_8018))
& m1_subset_1(U_8017,u1_struct_0(U_8021)) )
| ~ r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019)) )
& ( r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019))
| ! [U_8016] :
( ~ r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ m1_subset_1(U_8016,u1_struct_0(U_8021)) ) ) )
| ~ m1_rmod_2(U_8018,U_8022,U_8021) )
| ~ m1_subset_1(U_8019,u1_struct_0(U_8021)) )
| ~ m1_subset_1(U_8020,u1_struct_0(U_8021)) )
| ~ l1_vectsp_2(U_8021,U_8022)
| ~ v5_vectsp_2(U_8021,U_8022)
| ~ v6_rlvect_1(U_8021)
| ~ v5_rlvect_1(U_8021)
| ~ v4_rlvect_1(U_8021)
| ~ v3_rlvect_1(U_8021)
| v3_struct_0(U_8021) )
| ~ l3_vectsp_1(U_8022)
| ~ v8_vectsp_1(U_8022)
| ~ v7_vectsp_1(U_8022)
| ~ v6_vectsp_1(U_8022)
| ~ v4_group_1(U_8022)
| ~ v6_rlvect_1(U_8022)
| ~ v5_rlvect_1(U_8022)
| ~ v4_rlvect_1(U_8022)
| ~ v3_rlvect_1(U_8022)
| v3_struct_0(U_8022) ),
inference(variable_rename,[status(thm)],[f_3218_1]) ).
fof(f_3218_3,plain,
! [U_8022] :
( ! [U_8021] :
( ! [U_8020] :
( ! [U_8019] :
( ! [U_8018] :
( ( ( ( r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,sK948(U_8022,U_8021,U_8020,U_8019,U_8018),U_8018))
& r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,sK948(U_8022,U_8021,U_8020,U_8019,U_8018),U_8018))
& m1_subset_1(sK948(U_8022,U_8021,U_8020,U_8019,U_8018),u1_struct_0(U_8021)) )
| ~ r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019)) )
& ( r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019))
| ! [U_8016] :
( ~ r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ m1_subset_1(U_8016,u1_struct_0(U_8021)) ) ) )
| ~ m1_rmod_2(U_8018,U_8022,U_8021) )
| ~ m1_subset_1(U_8019,u1_struct_0(U_8021)) )
| ~ m1_subset_1(U_8020,u1_struct_0(U_8021)) )
| ~ l1_vectsp_2(U_8021,U_8022)
| ~ v5_vectsp_2(U_8021,U_8022)
| ~ v6_rlvect_1(U_8021)
| ~ v5_rlvect_1(U_8021)
| ~ v4_rlvect_1(U_8021)
| ~ v3_rlvect_1(U_8021)
| v3_struct_0(U_8021) )
| ~ l3_vectsp_1(U_8022)
| ~ v8_vectsp_1(U_8022)
| ~ v7_vectsp_1(U_8022)
| ~ v6_vectsp_1(U_8022)
| ~ v4_group_1(U_8022)
| ~ v6_rlvect_1(U_8022)
| ~ v5_rlvect_1(U_8022)
| ~ v4_rlvect_1(U_8022)
| ~ v3_rlvect_1(U_8022)
| v3_struct_0(U_8022) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK948]),skolemize(U_8017,sK948(U_8022,U_8021,U_8020,U_8019,U_8018))],[f_3218_2]) ).
fof(f_3218_4,plain,
( ! [U_8019,U_8022,U_8021,U_8020,U_8018] :
( r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,sK948(U_8022,U_8021,U_8020,U_8019,U_8018),U_8018))
| ~ sP1429(U_8019,U_8022,U_8021,U_8020,U_8018) )
& ! [U_8019,U_8022,U_8021,U_8020,U_8018] :
( r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,sK948(U_8022,U_8021,U_8020,U_8019,U_8018),U_8018))
| ~ sP1429(U_8019,U_8022,U_8021,U_8020,U_8018) )
& ! [U_8019,U_8022,U_8021,U_8020,U_8018] :
( m1_subset_1(sK948(U_8022,U_8021,U_8020,U_8019,U_8018),u1_struct_0(U_8021))
| ~ sP1429(U_8019,U_8022,U_8021,U_8020,U_8018) )
& ! [U_8019,U_8022,U_8021,U_8020,U_8016,U_8018] :
( sP1429(U_8019,U_8022,U_8021,U_8020,U_8018)
| ~ r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019))
| ~ sP1430(U_8019,U_8022,U_8021,U_8020,U_8016,U_8018) )
& ! [U_8019,U_8022,U_8021,U_8020,U_8016,U_8018] :
( r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019))
| ~ r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ m1_subset_1(U_8016,u1_struct_0(U_8021))
| ~ sP1430(U_8019,U_8022,U_8021,U_8020,U_8016,U_8018) )
& ! [U_8019,U_8022,U_8021,U_8020,U_8016,U_8018] :
( sP1430(U_8019,U_8022,U_8021,U_8020,U_8016,U_8018)
| ~ m1_rmod_2(U_8018,U_8022,U_8021)
| ~ m1_subset_1(U_8019,u1_struct_0(U_8021))
| ~ m1_subset_1(U_8020,u1_struct_0(U_8021))
| ~ l1_vectsp_2(U_8021,U_8022)
| ~ v5_vectsp_2(U_8021,U_8022)
| ~ v6_rlvect_1(U_8021)
| ~ v5_rlvect_1(U_8021)
| ~ v4_rlvect_1(U_8021)
| ~ v3_rlvect_1(U_8021)
| v3_struct_0(U_8021)
| ~ l3_vectsp_1(U_8022)
| ~ v8_vectsp_1(U_8022)
| ~ v7_vectsp_1(U_8022)
| ~ v6_vectsp_1(U_8022)
| ~ v4_group_1(U_8022)
| ~ v6_rlvect_1(U_8022)
| ~ v5_rlvect_1(U_8022)
| ~ v4_rlvect_1(U_8022)
| ~ v3_rlvect_1(U_8022)
| v3_struct_0(U_8022) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1429,sP1430])],[f_3218_3]) ).
cnf(f_3218_5,plain,
( sP1430(U_8019,U_8022,U_8021,U_8020,U_8016,U_8018)
| ~ m1_rmod_2(U_8018,U_8022,U_8021)
| ~ m1_subset_1(U_8019,u1_struct_0(U_8021))
| ~ m1_subset_1(U_8020,u1_struct_0(U_8021))
| ~ l1_vectsp_2(U_8021,U_8022)
| ~ v5_vectsp_2(U_8021,U_8022)
| ~ v6_rlvect_1(U_8021)
| ~ v5_rlvect_1(U_8021)
| ~ v4_rlvect_1(U_8021)
| ~ v3_rlvect_1(U_8021)
| v3_struct_0(U_8021)
| ~ l3_vectsp_1(U_8022)
| ~ v8_vectsp_1(U_8022)
| ~ v7_vectsp_1(U_8022)
| ~ v6_vectsp_1(U_8022)
| ~ v4_group_1(U_8022)
| ~ v6_rlvect_1(U_8022)
| ~ v5_rlvect_1(U_8022)
| ~ v4_rlvect_1(U_8022)
| ~ v3_rlvect_1(U_8022)
| v3_struct_0(U_8022) ),
inference(clausify,[status(thm)],[f_3218_4]) ).
cnf(f_3218_6,plain,
( r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019))
| ~ r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,U_8016,U_8018))
| ~ m1_subset_1(U_8016,u1_struct_0(U_8021))
| ~ sP1430(U_8019,U_8022,U_8021,U_8020,U_8016,U_8018) ),
inference(clausify,[status(thm)],[f_3218_4]) ).
cnf(f_3218_7,plain,
( sP1429(U_8019,U_8022,U_8021,U_8020,U_8018)
| ~ r1_rlvect_1(U_8018,k6_rlvect_1(U_8021,U_8020,U_8019))
| ~ sP1430(U_8019,U_8022,U_8021,U_8020,U_8016,U_8018) ),
inference(clausify,[status(thm)],[f_3218_4]) ).
cnf(f_3218_8,plain,
( m1_subset_1(sK948(U_8022,U_8021,U_8020,U_8019,U_8018),u1_struct_0(U_8021))
| ~ sP1429(U_8019,U_8022,U_8021,U_8020,U_8018) ),
inference(clausify,[status(thm)],[f_3218_4]) ).
cnf(f_3218_9,plain,
( r2_hidden(U_8020,k3_rmod_2(U_8022,U_8021,sK948(U_8022,U_8021,U_8020,U_8019,U_8018),U_8018))
| ~ sP1429(U_8019,U_8022,U_8021,U_8020,U_8018) ),
inference(clausify,[status(thm)],[f_3218_4]) ).
cnf(f_3218_10,plain,
( r2_hidden(U_8019,k3_rmod_2(U_8022,U_8021,sK948(U_8022,U_8021,U_8020,U_8019,U_8018),U_8018))
| ~ sP1429(U_8019,U_8022,U_8021,U_8020,U_8018) ),
inference(clausify,[status(thm)],[f_3218_4]) ).
fof(f_3219_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ? [F] :
( k4_rlvect_1(B,C,F) = D
& r1_rlvect_1(E,F)
& m1_subset_1(F,u1_struct_0(B)) )
| k3_rmod_2(A,B,C,E) != k3_rmod_2(A,B,D,E)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t77_rmod_2]) ).
fof(f_3219_2,plain,
! [U_8028] :
( ! [U_8027] :
( ! [U_8026] :
( ! [U_8025] :
( ! [U_8024] :
( ? [U_8023] :
( k4_rlvect_1(U_8027,U_8026,U_8023) = U_8025
& r1_rlvect_1(U_8024,U_8023)
& m1_subset_1(U_8023,u1_struct_0(U_8027)) )
| k3_rmod_2(U_8028,U_8027,U_8026,U_8024) != k3_rmod_2(U_8028,U_8027,U_8025,U_8024)
| ~ m1_rmod_2(U_8024,U_8028,U_8027) )
| ~ m1_subset_1(U_8025,u1_struct_0(U_8027)) )
| ~ m1_subset_1(U_8026,u1_struct_0(U_8027)) )
| ~ l1_vectsp_2(U_8027,U_8028)
| ~ v5_vectsp_2(U_8027,U_8028)
| ~ v6_rlvect_1(U_8027)
| ~ v5_rlvect_1(U_8027)
| ~ v4_rlvect_1(U_8027)
| ~ v3_rlvect_1(U_8027)
| v3_struct_0(U_8027) )
| ~ l3_vectsp_1(U_8028)
| ~ v8_vectsp_1(U_8028)
| ~ v7_vectsp_1(U_8028)
| ~ v6_vectsp_1(U_8028)
| ~ v4_group_1(U_8028)
| ~ v6_rlvect_1(U_8028)
| ~ v5_rlvect_1(U_8028)
| ~ v4_rlvect_1(U_8028)
| ~ v3_rlvect_1(U_8028)
| v3_struct_0(U_8028) ),
inference(variable_rename,[status(thm)],[f_3219_1]) ).
fof(f_3219_3,plain,
! [U_8028] :
( ! [U_8027] :
( ! [U_8026] :
( ! [U_8025] :
( ! [U_8024] :
( ( k4_rlvect_1(U_8027,U_8026,sK949(U_8028,U_8027,U_8026,U_8025,U_8024)) = U_8025
& r1_rlvect_1(U_8024,sK949(U_8028,U_8027,U_8026,U_8025,U_8024))
& m1_subset_1(sK949(U_8028,U_8027,U_8026,U_8025,U_8024),u1_struct_0(U_8027)) )
| k3_rmod_2(U_8028,U_8027,U_8026,U_8024) != k3_rmod_2(U_8028,U_8027,U_8025,U_8024)
| ~ m1_rmod_2(U_8024,U_8028,U_8027) )
| ~ m1_subset_1(U_8025,u1_struct_0(U_8027)) )
| ~ m1_subset_1(U_8026,u1_struct_0(U_8027)) )
| ~ l1_vectsp_2(U_8027,U_8028)
| ~ v5_vectsp_2(U_8027,U_8028)
| ~ v6_rlvect_1(U_8027)
| ~ v5_rlvect_1(U_8027)
| ~ v4_rlvect_1(U_8027)
| ~ v3_rlvect_1(U_8027)
| v3_struct_0(U_8027) )
| ~ l3_vectsp_1(U_8028)
| ~ v8_vectsp_1(U_8028)
| ~ v7_vectsp_1(U_8028)
| ~ v6_vectsp_1(U_8028)
| ~ v4_group_1(U_8028)
| ~ v6_rlvect_1(U_8028)
| ~ v5_rlvect_1(U_8028)
| ~ v4_rlvect_1(U_8028)
| ~ v3_rlvect_1(U_8028)
| v3_struct_0(U_8028) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK949]),skolemize(U_8023,sK949(U_8028,U_8027,U_8026,U_8025,U_8024))],[f_3219_2]) ).
fof(f_3219_4,plain,
( ! [U_8027,U_8028,U_8026,U_8024,U_8025] :
( k4_rlvect_1(U_8027,U_8026,sK949(U_8028,U_8027,U_8026,U_8025,U_8024)) = U_8025
| ~ sP1431(U_8027,U_8028,U_8026,U_8024,U_8025) )
& ! [U_8027,U_8028,U_8026,U_8024,U_8025] :
( r1_rlvect_1(U_8024,sK949(U_8028,U_8027,U_8026,U_8025,U_8024))
| ~ sP1431(U_8027,U_8028,U_8026,U_8024,U_8025) )
& ! [U_8027,U_8028,U_8026,U_8024,U_8025] :
( m1_subset_1(sK949(U_8028,U_8027,U_8026,U_8025,U_8024),u1_struct_0(U_8027))
| ~ sP1431(U_8027,U_8028,U_8026,U_8024,U_8025) )
& ! [U_8027,U_8028,U_8026,U_8024,U_8025] :
( sP1431(U_8027,U_8028,U_8026,U_8024,U_8025)
| k3_rmod_2(U_8028,U_8027,U_8026,U_8024) != k3_rmod_2(U_8028,U_8027,U_8025,U_8024)
| ~ m1_rmod_2(U_8024,U_8028,U_8027)
| ~ m1_subset_1(U_8025,u1_struct_0(U_8027))
| ~ m1_subset_1(U_8026,u1_struct_0(U_8027))
| ~ l1_vectsp_2(U_8027,U_8028)
| ~ v5_vectsp_2(U_8027,U_8028)
| ~ v6_rlvect_1(U_8027)
| ~ v5_rlvect_1(U_8027)
| ~ v4_rlvect_1(U_8027)
| ~ v3_rlvect_1(U_8027)
| v3_struct_0(U_8027)
| ~ l3_vectsp_1(U_8028)
| ~ v8_vectsp_1(U_8028)
| ~ v7_vectsp_1(U_8028)
| ~ v6_vectsp_1(U_8028)
| ~ v4_group_1(U_8028)
| ~ v6_rlvect_1(U_8028)
| ~ v5_rlvect_1(U_8028)
| ~ v4_rlvect_1(U_8028)
| ~ v3_rlvect_1(U_8028)
| v3_struct_0(U_8028) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1431])],[f_3219_3]) ).
cnf(f_3219_5,plain,
( sP1431(U_8027,U_8028,U_8026,U_8024,U_8025)
| k3_rmod_2(U_8028,U_8027,U_8026,U_8024) != k3_rmod_2(U_8028,U_8027,U_8025,U_8024)
| ~ m1_rmod_2(U_8024,U_8028,U_8027)
| ~ m1_subset_1(U_8025,u1_struct_0(U_8027))
| ~ m1_subset_1(U_8026,u1_struct_0(U_8027))
| ~ l1_vectsp_2(U_8027,U_8028)
| ~ v5_vectsp_2(U_8027,U_8028)
| ~ v6_rlvect_1(U_8027)
| ~ v5_rlvect_1(U_8027)
| ~ v4_rlvect_1(U_8027)
| ~ v3_rlvect_1(U_8027)
| v3_struct_0(U_8027)
| ~ l3_vectsp_1(U_8028)
| ~ v8_vectsp_1(U_8028)
| ~ v7_vectsp_1(U_8028)
| ~ v6_vectsp_1(U_8028)
| ~ v4_group_1(U_8028)
| ~ v6_rlvect_1(U_8028)
| ~ v5_rlvect_1(U_8028)
| ~ v4_rlvect_1(U_8028)
| ~ v3_rlvect_1(U_8028)
| v3_struct_0(U_8028) ),
inference(clausify,[status(thm)],[f_3219_4]) ).
cnf(f_3219_6,plain,
( m1_subset_1(sK949(U_8028,U_8027,U_8026,U_8025,U_8024),u1_struct_0(U_8027))
| ~ sP1431(U_8027,U_8028,U_8026,U_8024,U_8025) ),
inference(clausify,[status(thm)],[f_3219_4]) ).
cnf(f_3219_7,plain,
( r1_rlvect_1(U_8024,sK949(U_8028,U_8027,U_8026,U_8025,U_8024))
| ~ sP1431(U_8027,U_8028,U_8026,U_8024,U_8025) ),
inference(clausify,[status(thm)],[f_3219_4]) ).
cnf(f_3219_8,plain,
( k4_rlvect_1(U_8027,U_8026,sK949(U_8028,U_8027,U_8026,U_8025,U_8024)) = U_8025
| ~ sP1431(U_8027,U_8028,U_8026,U_8024,U_8025) ),
inference(clausify,[status(thm)],[f_3219_4]) ).
fof(f_3220_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ? [F] :
( k6_rlvect_1(B,C,F) = D
& r1_rlvect_1(E,F)
& m1_subset_1(F,u1_struct_0(B)) )
| k3_rmod_2(A,B,C,E) != k3_rmod_2(A,B,D,E)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t78_rmod_2]) ).
fof(f_3220_2,plain,
! [U_8034] :
( ! [U_8033] :
( ! [U_8032] :
( ! [U_8031] :
( ! [U_8030] :
( ? [U_8029] :
( k6_rlvect_1(U_8033,U_8032,U_8029) = U_8031
& r1_rlvect_1(U_8030,U_8029)
& m1_subset_1(U_8029,u1_struct_0(U_8033)) )
| k3_rmod_2(U_8034,U_8033,U_8032,U_8030) != k3_rmod_2(U_8034,U_8033,U_8031,U_8030)
| ~ m1_rmod_2(U_8030,U_8034,U_8033) )
| ~ m1_subset_1(U_8031,u1_struct_0(U_8033)) )
| ~ m1_subset_1(U_8032,u1_struct_0(U_8033)) )
| ~ l1_vectsp_2(U_8033,U_8034)
| ~ v5_vectsp_2(U_8033,U_8034)
| ~ v6_rlvect_1(U_8033)
| ~ v5_rlvect_1(U_8033)
| ~ v4_rlvect_1(U_8033)
| ~ v3_rlvect_1(U_8033)
| v3_struct_0(U_8033) )
| ~ l3_vectsp_1(U_8034)
| ~ v8_vectsp_1(U_8034)
| ~ v7_vectsp_1(U_8034)
| ~ v6_vectsp_1(U_8034)
| ~ v4_group_1(U_8034)
| ~ v6_rlvect_1(U_8034)
| ~ v5_rlvect_1(U_8034)
| ~ v4_rlvect_1(U_8034)
| ~ v3_rlvect_1(U_8034)
| v3_struct_0(U_8034) ),
inference(variable_rename,[status(thm)],[f_3220_1]) ).
fof(f_3220_3,plain,
! [U_8034] :
( ! [U_8033] :
( ! [U_8032] :
( ! [U_8031] :
( ! [U_8030] :
( ( k6_rlvect_1(U_8033,U_8032,sK950(U_8034,U_8033,U_8032,U_8031,U_8030)) = U_8031
& r1_rlvect_1(U_8030,sK950(U_8034,U_8033,U_8032,U_8031,U_8030))
& m1_subset_1(sK950(U_8034,U_8033,U_8032,U_8031,U_8030),u1_struct_0(U_8033)) )
| k3_rmod_2(U_8034,U_8033,U_8032,U_8030) != k3_rmod_2(U_8034,U_8033,U_8031,U_8030)
| ~ m1_rmod_2(U_8030,U_8034,U_8033) )
| ~ m1_subset_1(U_8031,u1_struct_0(U_8033)) )
| ~ m1_subset_1(U_8032,u1_struct_0(U_8033)) )
| ~ l1_vectsp_2(U_8033,U_8034)
| ~ v5_vectsp_2(U_8033,U_8034)
| ~ v6_rlvect_1(U_8033)
| ~ v5_rlvect_1(U_8033)
| ~ v4_rlvect_1(U_8033)
| ~ v3_rlvect_1(U_8033)
| v3_struct_0(U_8033) )
| ~ l3_vectsp_1(U_8034)
| ~ v8_vectsp_1(U_8034)
| ~ v7_vectsp_1(U_8034)
| ~ v6_vectsp_1(U_8034)
| ~ v4_group_1(U_8034)
| ~ v6_rlvect_1(U_8034)
| ~ v5_rlvect_1(U_8034)
| ~ v4_rlvect_1(U_8034)
| ~ v3_rlvect_1(U_8034)
| v3_struct_0(U_8034) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK950]),skolemize(U_8029,sK950(U_8034,U_8033,U_8032,U_8031,U_8030))],[f_3220_2]) ).
fof(f_3220_4,plain,
( ! [U_8033,U_8031,U_8034,U_8030,U_8032] :
( k6_rlvect_1(U_8033,U_8032,sK950(U_8034,U_8033,U_8032,U_8031,U_8030)) = U_8031
| ~ sP1432(U_8033,U_8031,U_8034,U_8030,U_8032) )
& ! [U_8033,U_8031,U_8034,U_8030,U_8032] :
( r1_rlvect_1(U_8030,sK950(U_8034,U_8033,U_8032,U_8031,U_8030))
| ~ sP1432(U_8033,U_8031,U_8034,U_8030,U_8032) )
& ! [U_8033,U_8031,U_8034,U_8030,U_8032] :
( m1_subset_1(sK950(U_8034,U_8033,U_8032,U_8031,U_8030),u1_struct_0(U_8033))
| ~ sP1432(U_8033,U_8031,U_8034,U_8030,U_8032) )
& ! [U_8033,U_8031,U_8034,U_8030,U_8032] :
( sP1432(U_8033,U_8031,U_8034,U_8030,U_8032)
| k3_rmod_2(U_8034,U_8033,U_8032,U_8030) != k3_rmod_2(U_8034,U_8033,U_8031,U_8030)
| ~ m1_rmod_2(U_8030,U_8034,U_8033)
| ~ m1_subset_1(U_8031,u1_struct_0(U_8033))
| ~ m1_subset_1(U_8032,u1_struct_0(U_8033))
| ~ l1_vectsp_2(U_8033,U_8034)
| ~ v5_vectsp_2(U_8033,U_8034)
| ~ v6_rlvect_1(U_8033)
| ~ v5_rlvect_1(U_8033)
| ~ v4_rlvect_1(U_8033)
| ~ v3_rlvect_1(U_8033)
| v3_struct_0(U_8033)
| ~ l3_vectsp_1(U_8034)
| ~ v8_vectsp_1(U_8034)
| ~ v7_vectsp_1(U_8034)
| ~ v6_vectsp_1(U_8034)
| ~ v4_group_1(U_8034)
| ~ v6_rlvect_1(U_8034)
| ~ v5_rlvect_1(U_8034)
| ~ v4_rlvect_1(U_8034)
| ~ v3_rlvect_1(U_8034)
| v3_struct_0(U_8034) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1432])],[f_3220_3]) ).
cnf(f_3220_5,plain,
( sP1432(U_8033,U_8031,U_8034,U_8030,U_8032)
| k3_rmod_2(U_8034,U_8033,U_8032,U_8030) != k3_rmod_2(U_8034,U_8033,U_8031,U_8030)
| ~ m1_rmod_2(U_8030,U_8034,U_8033)
| ~ m1_subset_1(U_8031,u1_struct_0(U_8033))
| ~ m1_subset_1(U_8032,u1_struct_0(U_8033))
| ~ l1_vectsp_2(U_8033,U_8034)
| ~ v5_vectsp_2(U_8033,U_8034)
| ~ v6_rlvect_1(U_8033)
| ~ v5_rlvect_1(U_8033)
| ~ v4_rlvect_1(U_8033)
| ~ v3_rlvect_1(U_8033)
| v3_struct_0(U_8033)
| ~ l3_vectsp_1(U_8034)
| ~ v8_vectsp_1(U_8034)
| ~ v7_vectsp_1(U_8034)
| ~ v6_vectsp_1(U_8034)
| ~ v4_group_1(U_8034)
| ~ v6_rlvect_1(U_8034)
| ~ v5_rlvect_1(U_8034)
| ~ v4_rlvect_1(U_8034)
| ~ v3_rlvect_1(U_8034)
| v3_struct_0(U_8034) ),
inference(clausify,[status(thm)],[f_3220_4]) ).
cnf(f_3220_6,plain,
( m1_subset_1(sK950(U_8034,U_8033,U_8032,U_8031,U_8030),u1_struct_0(U_8033))
| ~ sP1432(U_8033,U_8031,U_8034,U_8030,U_8032) ),
inference(clausify,[status(thm)],[f_3220_4]) ).
cnf(f_3220_7,plain,
( r1_rlvect_1(U_8030,sK950(U_8034,U_8033,U_8032,U_8031,U_8030))
| ~ sP1432(U_8033,U_8031,U_8034,U_8030,U_8032) ),
inference(clausify,[status(thm)],[f_3220_4]) ).
cnf(f_3220_8,plain,
( k6_rlvect_1(U_8033,U_8032,sK950(U_8034,U_8033,U_8032,U_8031,U_8030)) = U_8031
| ~ sP1432(U_8033,U_8031,U_8034,U_8030,U_8032) ),
inference(clausify,[status(thm)],[f_3220_4]) ).
fof(f_3221_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( k3_rmod_2(A,B,C,D) = k3_rmod_2(A,B,C,E)
| D != E )
& ( D = E
| k3_rmod_2(A,B,C,D) != k3_rmod_2(A,B,C,E) ) )
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t79_rmod_2]) ).
fof(f_3221_2,plain,
! [U_8039] :
( ! [U_8038] :
( ! [U_8037] :
( ! [U_8036] :
( ! [U_8035] :
( ( ( k3_rmod_2(U_8039,U_8038,U_8037,U_8036) = k3_rmod_2(U_8039,U_8038,U_8037,U_8035)
| U_8036 != U_8035 )
& ( U_8036 = U_8035
| k3_rmod_2(U_8039,U_8038,U_8037,U_8036) != k3_rmod_2(U_8039,U_8038,U_8037,U_8035) ) )
| ~ m1_rmod_2(U_8035,U_8039,U_8038)
| ~ v3_vectsp_2(U_8035,U_8039) )
| ~ m1_rmod_2(U_8036,U_8039,U_8038)
| ~ v3_vectsp_2(U_8036,U_8039) )
| ~ m1_subset_1(U_8037,u1_struct_0(U_8038)) )
| ~ l1_vectsp_2(U_8038,U_8039)
| ~ v5_vectsp_2(U_8038,U_8039)
| ~ v6_rlvect_1(U_8038)
| ~ v5_rlvect_1(U_8038)
| ~ v4_rlvect_1(U_8038)
| ~ v3_rlvect_1(U_8038)
| v3_struct_0(U_8038) )
| ~ l3_vectsp_1(U_8039)
| ~ v8_vectsp_1(U_8039)
| ~ v7_vectsp_1(U_8039)
| ~ v6_vectsp_1(U_8039)
| ~ v4_group_1(U_8039)
| ~ v6_rlvect_1(U_8039)
| ~ v5_rlvect_1(U_8039)
| ~ v4_rlvect_1(U_8039)
| ~ v3_rlvect_1(U_8039)
| v3_struct_0(U_8039) ),
inference(variable_rename,[status(thm)],[f_3221_1]) ).
fof(f_3221_3,plain,
( ! [U_8037,U_8038,U_8039,U_8035,U_8036] :
( k3_rmod_2(U_8039,U_8038,U_8037,U_8036) = k3_rmod_2(U_8039,U_8038,U_8037,U_8035)
| U_8036 != U_8035
| ~ sP1433(U_8037,U_8038,U_8039,U_8035,U_8036) )
& ! [U_8037,U_8038,U_8039,U_8035,U_8036] :
( U_8036 = U_8035
| k3_rmod_2(U_8039,U_8038,U_8037,U_8036) != k3_rmod_2(U_8039,U_8038,U_8037,U_8035)
| ~ sP1433(U_8037,U_8038,U_8039,U_8035,U_8036) )
& ! [U_8037,U_8038,U_8039,U_8035,U_8036] :
( sP1433(U_8037,U_8038,U_8039,U_8035,U_8036)
| ~ m1_rmod_2(U_8035,U_8039,U_8038)
| ~ v3_vectsp_2(U_8035,U_8039)
| ~ m1_rmod_2(U_8036,U_8039,U_8038)
| ~ v3_vectsp_2(U_8036,U_8039)
| ~ m1_subset_1(U_8037,u1_struct_0(U_8038))
| ~ l1_vectsp_2(U_8038,U_8039)
| ~ v5_vectsp_2(U_8038,U_8039)
| ~ v6_rlvect_1(U_8038)
| ~ v5_rlvect_1(U_8038)
| ~ v4_rlvect_1(U_8038)
| ~ v3_rlvect_1(U_8038)
| v3_struct_0(U_8038)
| ~ l3_vectsp_1(U_8039)
| ~ v8_vectsp_1(U_8039)
| ~ v7_vectsp_1(U_8039)
| ~ v6_vectsp_1(U_8039)
| ~ v4_group_1(U_8039)
| ~ v6_rlvect_1(U_8039)
| ~ v5_rlvect_1(U_8039)
| ~ v4_rlvect_1(U_8039)
| ~ v3_rlvect_1(U_8039)
| v3_struct_0(U_8039) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1433])],[f_3221_2]) ).
cnf(f_3221_4,plain,
( sP1433(U_8037,U_8038,U_8039,U_8035,U_8036)
| ~ m1_rmod_2(U_8035,U_8039,U_8038)
| ~ v3_vectsp_2(U_8035,U_8039)
| ~ m1_rmod_2(U_8036,U_8039,U_8038)
| ~ v3_vectsp_2(U_8036,U_8039)
| ~ m1_subset_1(U_8037,u1_struct_0(U_8038))
| ~ l1_vectsp_2(U_8038,U_8039)
| ~ v5_vectsp_2(U_8038,U_8039)
| ~ v6_rlvect_1(U_8038)
| ~ v5_rlvect_1(U_8038)
| ~ v4_rlvect_1(U_8038)
| ~ v3_rlvect_1(U_8038)
| v3_struct_0(U_8038)
| ~ l3_vectsp_1(U_8039)
| ~ v8_vectsp_1(U_8039)
| ~ v7_vectsp_1(U_8039)
| ~ v6_vectsp_1(U_8039)
| ~ v4_group_1(U_8039)
| ~ v6_rlvect_1(U_8039)
| ~ v5_rlvect_1(U_8039)
| ~ v4_rlvect_1(U_8039)
| ~ v3_rlvect_1(U_8039)
| v3_struct_0(U_8039) ),
inference(clausify,[status(thm)],[f_3221_3]) ).
cnf(f_3221_5,plain,
( U_8036 = U_8035
| k3_rmod_2(U_8039,U_8038,U_8037,U_8036) != k3_rmod_2(U_8039,U_8038,U_8037,U_8035)
| ~ sP1433(U_8037,U_8038,U_8039,U_8035,U_8036) ),
inference(clausify,[status(thm)],[f_3221_3]) ).
cnf(f_3221_6,plain,
( k3_rmod_2(U_8039,U_8038,U_8037,U_8036) = k3_rmod_2(U_8039,U_8038,U_8037,U_8035)
| U_8036 != U_8035
| ~ sP1433(U_8037,U_8038,U_8039,U_8035,U_8036) ),
inference(clausify,[status(thm)],[f_3221_3]) ).
fof(f_3222_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( E = F
| k3_rmod_2(A,B,C,E) != k3_rmod_2(A,B,D,F)
| ~ m1_rmod_2(F,A,B)
| ~ v3_vectsp_2(F,A) )
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t80_rmod_2]) ).
fof(f_3222_2,plain,
! [U_8045] :
( ! [U_8044] :
( ! [U_8043] :
( ! [U_8042] :
( ! [U_8041] :
( ! [U_8040] :
( U_8041 = U_8040
| k3_rmod_2(U_8045,U_8044,U_8043,U_8041) != k3_rmod_2(U_8045,U_8044,U_8042,U_8040)
| ~ m1_rmod_2(U_8040,U_8045,U_8044)
| ~ v3_vectsp_2(U_8040,U_8045) )
| ~ m1_rmod_2(U_8041,U_8045,U_8044)
| ~ v3_vectsp_2(U_8041,U_8045) )
| ~ m1_subset_1(U_8042,u1_struct_0(U_8044)) )
| ~ m1_subset_1(U_8043,u1_struct_0(U_8044)) )
| ~ l1_vectsp_2(U_8044,U_8045)
| ~ v5_vectsp_2(U_8044,U_8045)
| ~ v6_rlvect_1(U_8044)
| ~ v5_rlvect_1(U_8044)
| ~ v4_rlvect_1(U_8044)
| ~ v3_rlvect_1(U_8044)
| v3_struct_0(U_8044) )
| ~ l3_vectsp_1(U_8045)
| ~ v8_vectsp_1(U_8045)
| ~ v7_vectsp_1(U_8045)
| ~ v6_vectsp_1(U_8045)
| ~ v4_group_1(U_8045)
| ~ v6_rlvect_1(U_8045)
| ~ v5_rlvect_1(U_8045)
| ~ v4_rlvect_1(U_8045)
| ~ v3_rlvect_1(U_8045)
| v3_struct_0(U_8045) ),
inference(variable_rename,[status(thm)],[f_3222_1]) ).
fof(f_3222_3,plain,
! [U_8045,U_8040,U_8042,U_8044,U_8043,U_8041] :
( U_8041 = U_8040
| k3_rmod_2(U_8045,U_8044,U_8043,U_8041) != k3_rmod_2(U_8045,U_8044,U_8042,U_8040)
| ~ m1_rmod_2(U_8040,U_8045,U_8044)
| ~ v3_vectsp_2(U_8040,U_8045)
| ~ m1_rmod_2(U_8041,U_8045,U_8044)
| ~ v3_vectsp_2(U_8041,U_8045)
| ~ m1_subset_1(U_8042,u1_struct_0(U_8044))
| ~ m1_subset_1(U_8043,u1_struct_0(U_8044))
| ~ l1_vectsp_2(U_8044,U_8045)
| ~ v5_vectsp_2(U_8044,U_8045)
| ~ v6_rlvect_1(U_8044)
| ~ v5_rlvect_1(U_8044)
| ~ v4_rlvect_1(U_8044)
| ~ v3_rlvect_1(U_8044)
| v3_struct_0(U_8044)
| ~ l3_vectsp_1(U_8045)
| ~ v8_vectsp_1(U_8045)
| ~ v7_vectsp_1(U_8045)
| ~ v6_vectsp_1(U_8045)
| ~ v4_group_1(U_8045)
| ~ v6_rlvect_1(U_8045)
| ~ v5_rlvect_1(U_8045)
| ~ v4_rlvect_1(U_8045)
| ~ v3_rlvect_1(U_8045)
| v3_struct_0(U_8045) ),
inference(definitional_conversion,[status(esa)],[f_3222_2]) ).
cnf(f_3222_4,plain,
( U_8041 = U_8040
| k3_rmod_2(U_8045,U_8044,U_8043,U_8041) != k3_rmod_2(U_8045,U_8044,U_8042,U_8040)
| ~ m1_rmod_2(U_8040,U_8045,U_8044)
| ~ v3_vectsp_2(U_8040,U_8045)
| ~ m1_rmod_2(U_8041,U_8045,U_8044)
| ~ v3_vectsp_2(U_8041,U_8045)
| ~ m1_subset_1(U_8042,u1_struct_0(U_8044))
| ~ m1_subset_1(U_8043,u1_struct_0(U_8044))
| ~ l1_vectsp_2(U_8044,U_8045)
| ~ v5_vectsp_2(U_8044,U_8045)
| ~ v6_rlvect_1(U_8044)
| ~ v5_rlvect_1(U_8044)
| ~ v4_rlvect_1(U_8044)
| ~ v3_rlvect_1(U_8044)
| v3_struct_0(U_8044)
| ~ l3_vectsp_1(U_8045)
| ~ v8_vectsp_1(U_8045)
| ~ v7_vectsp_1(U_8045)
| ~ v6_vectsp_1(U_8045)
| ~ v4_group_1(U_8045)
| ~ v6_rlvect_1(U_8045)
| ~ v5_rlvect_1(U_8045)
| ~ v4_rlvect_1(U_8045)
| ~ v3_rlvect_1(U_8045)
| v3_struct_0(U_8045) ),
inference(clausify,[status(thm)],[f_3222_3]) ).
fof(f_3223_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ? [E] :
( r2_hidden(C,E)
& m2_rmod_2(E,A,B,D) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t81_rmod_2]) ).
fof(f_3223_2,plain,
! [U_8050] :
( ! [U_8049] :
( ! [U_8048] :
( ! [U_8047] :
( ? [U_8046] :
( r2_hidden(U_8048,U_8046)
& m2_rmod_2(U_8046,U_8050,U_8049,U_8047) )
| ~ m1_rmod_2(U_8047,U_8050,U_8049) )
| ~ m1_subset_1(U_8048,u1_struct_0(U_8049)) )
| ~ l1_vectsp_2(U_8049,U_8050)
| ~ v5_vectsp_2(U_8049,U_8050)
| ~ v6_rlvect_1(U_8049)
| ~ v5_rlvect_1(U_8049)
| ~ v4_rlvect_1(U_8049)
| ~ v3_rlvect_1(U_8049)
| v3_struct_0(U_8049) )
| ~ l3_vectsp_1(U_8050)
| ~ v8_vectsp_1(U_8050)
| ~ v7_vectsp_1(U_8050)
| ~ v6_vectsp_1(U_8050)
| ~ v4_group_1(U_8050)
| ~ v6_rlvect_1(U_8050)
| ~ v5_rlvect_1(U_8050)
| ~ v4_rlvect_1(U_8050)
| ~ v3_rlvect_1(U_8050)
| v3_struct_0(U_8050) ),
inference(variable_rename,[status(thm)],[f_3223_1]) ).
fof(f_3223_3,plain,
! [U_8050] :
( ! [U_8049] :
( ! [U_8048] :
( ! [U_8047] :
( ( r2_hidden(U_8048,sK951(U_8050,U_8049,U_8048,U_8047))
& m2_rmod_2(sK951(U_8050,U_8049,U_8048,U_8047),U_8050,U_8049,U_8047) )
| ~ m1_rmod_2(U_8047,U_8050,U_8049) )
| ~ m1_subset_1(U_8048,u1_struct_0(U_8049)) )
| ~ l1_vectsp_2(U_8049,U_8050)
| ~ v5_vectsp_2(U_8049,U_8050)
| ~ v6_rlvect_1(U_8049)
| ~ v5_rlvect_1(U_8049)
| ~ v4_rlvect_1(U_8049)
| ~ v3_rlvect_1(U_8049)
| v3_struct_0(U_8049) )
| ~ l3_vectsp_1(U_8050)
| ~ v8_vectsp_1(U_8050)
| ~ v7_vectsp_1(U_8050)
| ~ v6_vectsp_1(U_8050)
| ~ v4_group_1(U_8050)
| ~ v6_rlvect_1(U_8050)
| ~ v5_rlvect_1(U_8050)
| ~ v4_rlvect_1(U_8050)
| ~ v3_rlvect_1(U_8050)
| v3_struct_0(U_8050) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK951]),skolemize(U_8046,sK951(U_8050,U_8049,U_8048,U_8047))],[f_3223_2]) ).
fof(f_3223_4,plain,
( ! [U_8050,U_8047,U_8049,U_8048] :
( r2_hidden(U_8048,sK951(U_8050,U_8049,U_8048,U_8047))
| ~ sP1434(U_8050,U_8047,U_8049,U_8048) )
& ! [U_8050,U_8047,U_8049,U_8048] :
( m2_rmod_2(sK951(U_8050,U_8049,U_8048,U_8047),U_8050,U_8049,U_8047)
| ~ sP1434(U_8050,U_8047,U_8049,U_8048) )
& ! [U_8050,U_8047,U_8049,U_8048] :
( sP1434(U_8050,U_8047,U_8049,U_8048)
| ~ m1_rmod_2(U_8047,U_8050,U_8049)
| ~ m1_subset_1(U_8048,u1_struct_0(U_8049))
| ~ l1_vectsp_2(U_8049,U_8050)
| ~ v5_vectsp_2(U_8049,U_8050)
| ~ v6_rlvect_1(U_8049)
| ~ v5_rlvect_1(U_8049)
| ~ v4_rlvect_1(U_8049)
| ~ v3_rlvect_1(U_8049)
| v3_struct_0(U_8049)
| ~ l3_vectsp_1(U_8050)
| ~ v8_vectsp_1(U_8050)
| ~ v7_vectsp_1(U_8050)
| ~ v6_vectsp_1(U_8050)
| ~ v4_group_1(U_8050)
| ~ v6_rlvect_1(U_8050)
| ~ v5_rlvect_1(U_8050)
| ~ v4_rlvect_1(U_8050)
| ~ v3_rlvect_1(U_8050)
| v3_struct_0(U_8050) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1434])],[f_3223_3]) ).
cnf(f_3223_5,plain,
( sP1434(U_8050,U_8047,U_8049,U_8048)
| ~ m1_rmod_2(U_8047,U_8050,U_8049)
| ~ m1_subset_1(U_8048,u1_struct_0(U_8049))
| ~ l1_vectsp_2(U_8049,U_8050)
| ~ v5_vectsp_2(U_8049,U_8050)
| ~ v6_rlvect_1(U_8049)
| ~ v5_rlvect_1(U_8049)
| ~ v4_rlvect_1(U_8049)
| ~ v3_rlvect_1(U_8049)
| v3_struct_0(U_8049)
| ~ l3_vectsp_1(U_8050)
| ~ v8_vectsp_1(U_8050)
| ~ v7_vectsp_1(U_8050)
| ~ v6_vectsp_1(U_8050)
| ~ v4_group_1(U_8050)
| ~ v6_rlvect_1(U_8050)
| ~ v5_rlvect_1(U_8050)
| ~ v4_rlvect_1(U_8050)
| ~ v3_rlvect_1(U_8050)
| v3_struct_0(U_8050) ),
inference(clausify,[status(thm)],[f_3223_4]) ).
cnf(f_3223_6,plain,
( m2_rmod_2(sK951(U_8050,U_8049,U_8048,U_8047),U_8050,U_8049,U_8047)
| ~ sP1434(U_8050,U_8047,U_8049,U_8048) ),
inference(clausify,[status(thm)],[f_3223_4]) ).
cnf(f_3223_7,plain,
( r2_hidden(U_8048,sK951(U_8050,U_8049,U_8048,U_8047))
| ~ sP1434(U_8050,U_8047,U_8049,U_8048) ),
inference(clausify,[status(thm)],[f_3223_4]) ).
fof(f_3224_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( v1_rmod_2(D,A,B)
| D != u1_struct_0(C) )
& ( D = u1_struct_0(C)
| ~ v1_rmod_2(D,A,B) ) )
| ~ m2_rmod_2(D,A,B,C) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t82_rmod_2]) ).
fof(f_3224_2,plain,
! [U_8054] :
( ! [U_8053] :
( ! [U_8052] :
( ! [U_8051] :
( ( ( v1_rmod_2(U_8051,U_8054,U_8053)
| U_8051 != u1_struct_0(U_8052) )
& ( U_8051 = u1_struct_0(U_8052)
| ~ v1_rmod_2(U_8051,U_8054,U_8053) ) )
| ~ m2_rmod_2(U_8051,U_8054,U_8053,U_8052) )
| ~ m1_rmod_2(U_8052,U_8054,U_8053) )
| ~ l1_vectsp_2(U_8053,U_8054)
| ~ v5_vectsp_2(U_8053,U_8054)
| ~ v6_rlvect_1(U_8053)
| ~ v5_rlvect_1(U_8053)
| ~ v4_rlvect_1(U_8053)
| ~ v3_rlvect_1(U_8053)
| v3_struct_0(U_8053) )
| ~ l3_vectsp_1(U_8054)
| ~ v8_vectsp_1(U_8054)
| ~ v7_vectsp_1(U_8054)
| ~ v6_vectsp_1(U_8054)
| ~ v4_group_1(U_8054)
| ~ v6_rlvect_1(U_8054)
| ~ v5_rlvect_1(U_8054)
| ~ v4_rlvect_1(U_8054)
| ~ v3_rlvect_1(U_8054)
| v3_struct_0(U_8054) ),
inference(variable_rename,[status(thm)],[f_3224_1]) ).
fof(f_3224_3,plain,
( ! [U_8051,U_8052,U_8053,U_8054] :
( v1_rmod_2(U_8051,U_8054,U_8053)
| U_8051 != u1_struct_0(U_8052)
| ~ sP1435(U_8051,U_8052,U_8053,U_8054) )
& ! [U_8051,U_8052,U_8053,U_8054] :
( U_8051 = u1_struct_0(U_8052)
| ~ v1_rmod_2(U_8051,U_8054,U_8053)
| ~ sP1435(U_8051,U_8052,U_8053,U_8054) )
& ! [U_8051,U_8052,U_8053,U_8054] :
( sP1435(U_8051,U_8052,U_8053,U_8054)
| ~ m2_rmod_2(U_8051,U_8054,U_8053,U_8052)
| ~ m1_rmod_2(U_8052,U_8054,U_8053)
| ~ l1_vectsp_2(U_8053,U_8054)
| ~ v5_vectsp_2(U_8053,U_8054)
| ~ v6_rlvect_1(U_8053)
| ~ v5_rlvect_1(U_8053)
| ~ v4_rlvect_1(U_8053)
| ~ v3_rlvect_1(U_8053)
| v3_struct_0(U_8053)
| ~ l3_vectsp_1(U_8054)
| ~ v8_vectsp_1(U_8054)
| ~ v7_vectsp_1(U_8054)
| ~ v6_vectsp_1(U_8054)
| ~ v4_group_1(U_8054)
| ~ v6_rlvect_1(U_8054)
| ~ v5_rlvect_1(U_8054)
| ~ v4_rlvect_1(U_8054)
| ~ v3_rlvect_1(U_8054)
| v3_struct_0(U_8054) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1435])],[f_3224_2]) ).
cnf(f_3224_4,plain,
( sP1435(U_8051,U_8052,U_8053,U_8054)
| ~ m2_rmod_2(U_8051,U_8054,U_8053,U_8052)
| ~ m1_rmod_2(U_8052,U_8054,U_8053)
| ~ l1_vectsp_2(U_8053,U_8054)
| ~ v5_vectsp_2(U_8053,U_8054)
| ~ v6_rlvect_1(U_8053)
| ~ v5_rlvect_1(U_8053)
| ~ v4_rlvect_1(U_8053)
| ~ v3_rlvect_1(U_8053)
| v3_struct_0(U_8053)
| ~ l3_vectsp_1(U_8054)
| ~ v8_vectsp_1(U_8054)
| ~ v7_vectsp_1(U_8054)
| ~ v6_vectsp_1(U_8054)
| ~ v4_group_1(U_8054)
| ~ v6_rlvect_1(U_8054)
| ~ v5_rlvect_1(U_8054)
| ~ v4_rlvect_1(U_8054)
| ~ v3_rlvect_1(U_8054)
| v3_struct_0(U_8054) ),
inference(clausify,[status(thm)],[f_3224_3]) ).
cnf(f_3224_5,plain,
( U_8051 = u1_struct_0(U_8052)
| ~ v1_rmod_2(U_8051,U_8054,U_8053)
| ~ sP1435(U_8051,U_8052,U_8053,U_8054) ),
inference(clausify,[status(thm)],[f_3224_3]) ).
cnf(f_3224_6,plain,
( v1_rmod_2(U_8051,U_8054,U_8053)
| U_8051 != u1_struct_0(U_8052)
| ~ sP1435(U_8051,U_8052,U_8053,U_8054) ),
inference(clausify,[status(thm)],[f_3224_3]) ).
fof(f_3225_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( C = D
| E != F
| ~ m2_rmod_2(F,A,B,D) )
| ~ m2_rmod_2(E,A,B,C) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t83_rmod_2]) ).
fof(f_3225_2,plain,
! [U_8060] :
( ! [U_8059] :
( ! [U_8058] :
( ! [U_8057] :
( ! [U_8056] :
( ! [U_8055] :
( U_8058 = U_8057
| U_8056 != U_8055
| ~ m2_rmod_2(U_8055,U_8060,U_8059,U_8057) )
| ~ m2_rmod_2(U_8056,U_8060,U_8059,U_8058) )
| ~ m1_rmod_2(U_8057,U_8060,U_8059)
| ~ v3_vectsp_2(U_8057,U_8060) )
| ~ m1_rmod_2(U_8058,U_8060,U_8059)
| ~ v3_vectsp_2(U_8058,U_8060) )
| ~ l1_vectsp_2(U_8059,U_8060)
| ~ v5_vectsp_2(U_8059,U_8060)
| ~ v6_rlvect_1(U_8059)
| ~ v5_rlvect_1(U_8059)
| ~ v4_rlvect_1(U_8059)
| ~ v3_rlvect_1(U_8059)
| v3_struct_0(U_8059) )
| ~ l3_vectsp_1(U_8060)
| ~ v8_vectsp_1(U_8060)
| ~ v7_vectsp_1(U_8060)
| ~ v6_vectsp_1(U_8060)
| ~ v4_group_1(U_8060)
| ~ v6_rlvect_1(U_8060)
| ~ v5_rlvect_1(U_8060)
| ~ v4_rlvect_1(U_8060)
| ~ v3_rlvect_1(U_8060)
| v3_struct_0(U_8060) ),
inference(variable_rename,[status(thm)],[f_3225_1]) ).
fof(f_3225_3,plain,
! [U_8058,U_8055,U_8056,U_8057,U_8060,U_8059] :
( U_8058 = U_8057
| U_8056 != U_8055
| ~ m2_rmod_2(U_8055,U_8060,U_8059,U_8057)
| ~ m2_rmod_2(U_8056,U_8060,U_8059,U_8058)
| ~ m1_rmod_2(U_8057,U_8060,U_8059)
| ~ v3_vectsp_2(U_8057,U_8060)
| ~ m1_rmod_2(U_8058,U_8060,U_8059)
| ~ v3_vectsp_2(U_8058,U_8060)
| ~ l1_vectsp_2(U_8059,U_8060)
| ~ v5_vectsp_2(U_8059,U_8060)
| ~ v6_rlvect_1(U_8059)
| ~ v5_rlvect_1(U_8059)
| ~ v4_rlvect_1(U_8059)
| ~ v3_rlvect_1(U_8059)
| v3_struct_0(U_8059)
| ~ l3_vectsp_1(U_8060)
| ~ v8_vectsp_1(U_8060)
| ~ v7_vectsp_1(U_8060)
| ~ v6_vectsp_1(U_8060)
| ~ v4_group_1(U_8060)
| ~ v6_rlvect_1(U_8060)
| ~ v5_rlvect_1(U_8060)
| ~ v4_rlvect_1(U_8060)
| ~ v3_rlvect_1(U_8060)
| v3_struct_0(U_8060) ),
inference(definitional_conversion,[status(esa)],[f_3225_2]) ).
cnf(f_3225_4,plain,
( U_8058 = U_8057
| U_8056 != U_8055
| ~ m2_rmod_2(U_8055,U_8060,U_8059,U_8057)
| ~ m2_rmod_2(U_8056,U_8060,U_8059,U_8058)
| ~ m1_rmod_2(U_8057,U_8060,U_8059)
| ~ v3_vectsp_2(U_8057,U_8060)
| ~ m1_rmod_2(U_8058,U_8060,U_8059)
| ~ v3_vectsp_2(U_8058,U_8060)
| ~ l1_vectsp_2(U_8059,U_8060)
| ~ v5_vectsp_2(U_8059,U_8060)
| ~ v6_rlvect_1(U_8059)
| ~ v5_rlvect_1(U_8059)
| ~ v4_rlvect_1(U_8059)
| ~ v3_rlvect_1(U_8059)
| v3_struct_0(U_8059)
| ~ l3_vectsp_1(U_8060)
| ~ v8_vectsp_1(U_8060)
| ~ v7_vectsp_1(U_8060)
| ~ v6_vectsp_1(U_8060)
| ~ v4_group_1(U_8060)
| ~ v6_rlvect_1(U_8060)
| ~ v5_rlvect_1(U_8060)
| ~ v4_rlvect_1(U_8060)
| ~ v3_rlvect_1(U_8060)
| v3_struct_0(U_8060) ),
inference(clausify,[status(thm)],[f_3225_3]) ).
fof(f_3226_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_rmod_2(k6_domain_1(u1_struct_0(B),C),A,B,k1_rmod_2(A,B))
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t84_rmod_2]) ).
fof(f_3226_2,plain,
! [U_8063] :
( ! [U_8062] :
( ! [U_8061] :
( m2_rmod_2(k6_domain_1(u1_struct_0(U_8062),U_8061),U_8063,U_8062,k1_rmod_2(U_8063,U_8062))
| ~ m1_subset_1(U_8061,u1_struct_0(U_8062)) )
| ~ l1_vectsp_2(U_8062,U_8063)
| ~ v5_vectsp_2(U_8062,U_8063)
| ~ v6_rlvect_1(U_8062)
| ~ v5_rlvect_1(U_8062)
| ~ v4_rlvect_1(U_8062)
| ~ v3_rlvect_1(U_8062)
| v3_struct_0(U_8062) )
| ~ l3_vectsp_1(U_8063)
| ~ v8_vectsp_1(U_8063)
| ~ v7_vectsp_1(U_8063)
| ~ v6_vectsp_1(U_8063)
| ~ v4_group_1(U_8063)
| ~ v6_rlvect_1(U_8063)
| ~ v5_rlvect_1(U_8063)
| ~ v4_rlvect_1(U_8063)
| ~ v3_rlvect_1(U_8063)
| v3_struct_0(U_8063) ),
inference(variable_rename,[status(thm)],[f_3226_1]) ).
fof(f_3226_3,plain,
! [U_8061,U_8062,U_8063] :
( m2_rmod_2(k6_domain_1(u1_struct_0(U_8062),U_8061),U_8063,U_8062,k1_rmod_2(U_8063,U_8062))
| ~ m1_subset_1(U_8061,u1_struct_0(U_8062))
| ~ l1_vectsp_2(U_8062,U_8063)
| ~ v5_vectsp_2(U_8062,U_8063)
| ~ v6_rlvect_1(U_8062)
| ~ v5_rlvect_1(U_8062)
| ~ v4_rlvect_1(U_8062)
| ~ v3_rlvect_1(U_8062)
| v3_struct_0(U_8062)
| ~ l3_vectsp_1(U_8063)
| ~ v8_vectsp_1(U_8063)
| ~ v7_vectsp_1(U_8063)
| ~ v6_vectsp_1(U_8063)
| ~ v4_group_1(U_8063)
| ~ v6_rlvect_1(U_8063)
| ~ v5_rlvect_1(U_8063)
| ~ v4_rlvect_1(U_8063)
| ~ v3_rlvect_1(U_8063)
| v3_struct_0(U_8063) ),
inference(definitional_conversion,[status(esa)],[f_3226_2]) ).
cnf(f_3226_4,plain,
( m2_rmod_2(k6_domain_1(u1_struct_0(U_8062),U_8061),U_8063,U_8062,k1_rmod_2(U_8063,U_8062))
| ~ m1_subset_1(U_8061,u1_struct_0(U_8062))
| ~ l1_vectsp_2(U_8062,U_8063)
| ~ v5_vectsp_2(U_8062,U_8063)
| ~ v6_rlvect_1(U_8062)
| ~ v5_rlvect_1(U_8062)
| ~ v4_rlvect_1(U_8062)
| ~ v3_rlvect_1(U_8062)
| v3_struct_0(U_8062)
| ~ l3_vectsp_1(U_8063)
| ~ v8_vectsp_1(U_8063)
| ~ v7_vectsp_1(U_8063)
| ~ v6_vectsp_1(U_8063)
| ~ v4_group_1(U_8063)
| ~ v6_rlvect_1(U_8063)
| ~ v5_rlvect_1(U_8063)
| ~ v4_rlvect_1(U_8063)
| ~ v3_rlvect_1(U_8063)
| v3_struct_0(U_8063) ),
inference(clausify,[status(thm)],[f_3226_3]) ).
fof(f_3227_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ? [D] :
( C = k6_domain_1(u1_struct_0(B),D)
& m1_subset_1(D,u1_struct_0(B)) )
| ~ m2_rmod_2(C,A,B,k1_rmod_2(A,B))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t85_rmod_2]) ).
fof(f_3227_2,plain,
! [U_8067] :
( ! [U_8066] :
( ! [U_8065] :
( ? [U_8064] :
( U_8065 = k6_domain_1(u1_struct_0(U_8066),U_8064)
& m1_subset_1(U_8064,u1_struct_0(U_8066)) )
| ~ m2_rmod_2(U_8065,U_8067,U_8066,k1_rmod_2(U_8067,U_8066))
| ~ m1_subset_1(U_8065,k1_zfmisc_1(u1_struct_0(U_8066))) )
| ~ l1_vectsp_2(U_8066,U_8067)
| ~ v5_vectsp_2(U_8066,U_8067)
| ~ v6_rlvect_1(U_8066)
| ~ v5_rlvect_1(U_8066)
| ~ v4_rlvect_1(U_8066)
| ~ v3_rlvect_1(U_8066)
| v3_struct_0(U_8066) )
| ~ l3_vectsp_1(U_8067)
| ~ v8_vectsp_1(U_8067)
| ~ v7_vectsp_1(U_8067)
| ~ v6_vectsp_1(U_8067)
| ~ v4_group_1(U_8067)
| ~ v6_rlvect_1(U_8067)
| ~ v5_rlvect_1(U_8067)
| ~ v4_rlvect_1(U_8067)
| ~ v3_rlvect_1(U_8067)
| v3_struct_0(U_8067) ),
inference(variable_rename,[status(thm)],[f_3227_1]) ).
fof(f_3227_3,plain,
! [U_8067] :
( ! [U_8066] :
( ! [U_8065] :
( ( U_8065 = k6_domain_1(u1_struct_0(U_8066),sK952(U_8067,U_8066,U_8065))
& m1_subset_1(sK952(U_8067,U_8066,U_8065),u1_struct_0(U_8066)) )
| ~ m2_rmod_2(U_8065,U_8067,U_8066,k1_rmod_2(U_8067,U_8066))
| ~ m1_subset_1(U_8065,k1_zfmisc_1(u1_struct_0(U_8066))) )
| ~ l1_vectsp_2(U_8066,U_8067)
| ~ v5_vectsp_2(U_8066,U_8067)
| ~ v6_rlvect_1(U_8066)
| ~ v5_rlvect_1(U_8066)
| ~ v4_rlvect_1(U_8066)
| ~ v3_rlvect_1(U_8066)
| v3_struct_0(U_8066) )
| ~ l3_vectsp_1(U_8067)
| ~ v8_vectsp_1(U_8067)
| ~ v7_vectsp_1(U_8067)
| ~ v6_vectsp_1(U_8067)
| ~ v4_group_1(U_8067)
| ~ v6_rlvect_1(U_8067)
| ~ v5_rlvect_1(U_8067)
| ~ v4_rlvect_1(U_8067)
| ~ v3_rlvect_1(U_8067)
| v3_struct_0(U_8067) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK952]),skolemize(U_8064,sK952(U_8067,U_8066,U_8065))],[f_3227_2]) ).
fof(f_3227_4,plain,
( ! [U_8067,U_8066,U_8065] :
( U_8065 = k6_domain_1(u1_struct_0(U_8066),sK952(U_8067,U_8066,U_8065))
| ~ sP1436(U_8067,U_8066,U_8065) )
& ! [U_8067,U_8066,U_8065] :
( m1_subset_1(sK952(U_8067,U_8066,U_8065),u1_struct_0(U_8066))
| ~ sP1436(U_8067,U_8066,U_8065) )
& ! [U_8067,U_8066,U_8065] :
( sP1436(U_8067,U_8066,U_8065)
| ~ m2_rmod_2(U_8065,U_8067,U_8066,k1_rmod_2(U_8067,U_8066))
| ~ m1_subset_1(U_8065,k1_zfmisc_1(u1_struct_0(U_8066)))
| ~ l1_vectsp_2(U_8066,U_8067)
| ~ v5_vectsp_2(U_8066,U_8067)
| ~ v6_rlvect_1(U_8066)
| ~ v5_rlvect_1(U_8066)
| ~ v4_rlvect_1(U_8066)
| ~ v3_rlvect_1(U_8066)
| v3_struct_0(U_8066)
| ~ l3_vectsp_1(U_8067)
| ~ v8_vectsp_1(U_8067)
| ~ v7_vectsp_1(U_8067)
| ~ v6_vectsp_1(U_8067)
| ~ v4_group_1(U_8067)
| ~ v6_rlvect_1(U_8067)
| ~ v5_rlvect_1(U_8067)
| ~ v4_rlvect_1(U_8067)
| ~ v3_rlvect_1(U_8067)
| v3_struct_0(U_8067) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1436])],[f_3227_3]) ).
cnf(f_3227_5,plain,
( sP1436(U_8067,U_8066,U_8065)
| ~ m2_rmod_2(U_8065,U_8067,U_8066,k1_rmod_2(U_8067,U_8066))
| ~ m1_subset_1(U_8065,k1_zfmisc_1(u1_struct_0(U_8066)))
| ~ l1_vectsp_2(U_8066,U_8067)
| ~ v5_vectsp_2(U_8066,U_8067)
| ~ v6_rlvect_1(U_8066)
| ~ v5_rlvect_1(U_8066)
| ~ v4_rlvect_1(U_8066)
| ~ v3_rlvect_1(U_8066)
| v3_struct_0(U_8066)
| ~ l3_vectsp_1(U_8067)
| ~ v8_vectsp_1(U_8067)
| ~ v7_vectsp_1(U_8067)
| ~ v6_vectsp_1(U_8067)
| ~ v4_group_1(U_8067)
| ~ v6_rlvect_1(U_8067)
| ~ v5_rlvect_1(U_8067)
| ~ v4_rlvect_1(U_8067)
| ~ v3_rlvect_1(U_8067)
| v3_struct_0(U_8067) ),
inference(clausify,[status(thm)],[f_3227_4]) ).
cnf(f_3227_6,plain,
( m1_subset_1(sK952(U_8067,U_8066,U_8065),u1_struct_0(U_8066))
| ~ sP1436(U_8067,U_8066,U_8065) ),
inference(clausify,[status(thm)],[f_3227_4]) ).
cnf(f_3227_7,plain,
( U_8065 = k6_domain_1(u1_struct_0(U_8066),sK952(U_8067,U_8066,U_8065))
| ~ sP1436(U_8067,U_8066,U_8065) ),
inference(clausify,[status(thm)],[f_3227_4]) ).
fof(f_3228_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_rmod_2(u1_struct_0(C),A,B,C)
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t86_rmod_2]) ).
fof(f_3228_2,plain,
! [U_8070] :
( ! [U_8069] :
( ! [U_8068] :
( m2_rmod_2(u1_struct_0(U_8068),U_8070,U_8069,U_8068)
| ~ m1_rmod_2(U_8068,U_8070,U_8069) )
| ~ l1_vectsp_2(U_8069,U_8070)
| ~ v5_vectsp_2(U_8069,U_8070)
| ~ v6_rlvect_1(U_8069)
| ~ v5_rlvect_1(U_8069)
| ~ v4_rlvect_1(U_8069)
| ~ v3_rlvect_1(U_8069)
| v3_struct_0(U_8069) )
| ~ l3_vectsp_1(U_8070)
| ~ v8_vectsp_1(U_8070)
| ~ v7_vectsp_1(U_8070)
| ~ v6_vectsp_1(U_8070)
| ~ v4_group_1(U_8070)
| ~ v6_rlvect_1(U_8070)
| ~ v5_rlvect_1(U_8070)
| ~ v4_rlvect_1(U_8070)
| ~ v3_rlvect_1(U_8070)
| v3_struct_0(U_8070) ),
inference(variable_rename,[status(thm)],[f_3228_1]) ).
fof(f_3228_3,plain,
! [U_8068,U_8070,U_8069] :
( m2_rmod_2(u1_struct_0(U_8068),U_8070,U_8069,U_8068)
| ~ m1_rmod_2(U_8068,U_8070,U_8069)
| ~ l1_vectsp_2(U_8069,U_8070)
| ~ v5_vectsp_2(U_8069,U_8070)
| ~ v6_rlvect_1(U_8069)
| ~ v5_rlvect_1(U_8069)
| ~ v4_rlvect_1(U_8069)
| ~ v3_rlvect_1(U_8069)
| v3_struct_0(U_8069)
| ~ l3_vectsp_1(U_8070)
| ~ v8_vectsp_1(U_8070)
| ~ v7_vectsp_1(U_8070)
| ~ v6_vectsp_1(U_8070)
| ~ v4_group_1(U_8070)
| ~ v6_rlvect_1(U_8070)
| ~ v5_rlvect_1(U_8070)
| ~ v4_rlvect_1(U_8070)
| ~ v3_rlvect_1(U_8070)
| v3_struct_0(U_8070) ),
inference(definitional_conversion,[status(esa)],[f_3228_2]) ).
cnf(f_3228_4,plain,
( m2_rmod_2(u1_struct_0(U_8068),U_8070,U_8069,U_8068)
| ~ m1_rmod_2(U_8068,U_8070,U_8069)
| ~ l1_vectsp_2(U_8069,U_8070)
| ~ v5_vectsp_2(U_8069,U_8070)
| ~ v6_rlvect_1(U_8069)
| ~ v5_rlvect_1(U_8069)
| ~ v4_rlvect_1(U_8069)
| ~ v3_rlvect_1(U_8069)
| v3_struct_0(U_8069)
| ~ l3_vectsp_1(U_8070)
| ~ v8_vectsp_1(U_8070)
| ~ v7_vectsp_1(U_8070)
| ~ v6_vectsp_1(U_8070)
| ~ v4_group_1(U_8070)
| ~ v6_rlvect_1(U_8070)
| ~ v5_rlvect_1(U_8070)
| ~ v4_rlvect_1(U_8070)
| ~ v3_rlvect_1(U_8070)
| v3_struct_0(U_8070) ),
inference(clausify,[status(thm)],[f_3228_3]) ).
fof(f_3229_1,plain,
! [A] :
( ! [B] :
( m2_rmod_2(u1_struct_0(B),A,B,k2_rmod_2(A,B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t87_rmod_2]) ).
fof(f_3229_2,plain,
! [U_8072] :
( ! [U_8071] :
( m2_rmod_2(u1_struct_0(U_8071),U_8072,U_8071,k2_rmod_2(U_8072,U_8071))
| ~ l1_vectsp_2(U_8071,U_8072)
| ~ v5_vectsp_2(U_8071,U_8072)
| ~ v6_rlvect_1(U_8071)
| ~ v5_rlvect_1(U_8071)
| ~ v4_rlvect_1(U_8071)
| ~ v3_rlvect_1(U_8071)
| v3_struct_0(U_8071) )
| ~ l3_vectsp_1(U_8072)
| ~ v8_vectsp_1(U_8072)
| ~ v7_vectsp_1(U_8072)
| ~ v6_vectsp_1(U_8072)
| ~ v4_group_1(U_8072)
| ~ v6_rlvect_1(U_8072)
| ~ v5_rlvect_1(U_8072)
| ~ v4_rlvect_1(U_8072)
| ~ v3_rlvect_1(U_8072)
| v3_struct_0(U_8072) ),
inference(variable_rename,[status(thm)],[f_3229_1]) ).
fof(f_3229_3,plain,
! [U_8071,U_8072] :
( m2_rmod_2(u1_struct_0(U_8071),U_8072,U_8071,k2_rmod_2(U_8072,U_8071))
| ~ l1_vectsp_2(U_8071,U_8072)
| ~ v5_vectsp_2(U_8071,U_8072)
| ~ v6_rlvect_1(U_8071)
| ~ v5_rlvect_1(U_8071)
| ~ v4_rlvect_1(U_8071)
| ~ v3_rlvect_1(U_8071)
| v3_struct_0(U_8071)
| ~ l3_vectsp_1(U_8072)
| ~ v8_vectsp_1(U_8072)
| ~ v7_vectsp_1(U_8072)
| ~ v6_vectsp_1(U_8072)
| ~ v4_group_1(U_8072)
| ~ v6_rlvect_1(U_8072)
| ~ v5_rlvect_1(U_8072)
| ~ v4_rlvect_1(U_8072)
| ~ v3_rlvect_1(U_8072)
| v3_struct_0(U_8072) ),
inference(definitional_conversion,[status(esa)],[f_3229_2]) ).
cnf(f_3229_4,plain,
( m2_rmod_2(u1_struct_0(U_8071),U_8072,U_8071,k2_rmod_2(U_8072,U_8071))
| ~ l1_vectsp_2(U_8071,U_8072)
| ~ v5_vectsp_2(U_8071,U_8072)
| ~ v6_rlvect_1(U_8071)
| ~ v5_rlvect_1(U_8071)
| ~ v4_rlvect_1(U_8071)
| ~ v3_rlvect_1(U_8071)
| v3_struct_0(U_8071)
| ~ l3_vectsp_1(U_8072)
| ~ v8_vectsp_1(U_8072)
| ~ v7_vectsp_1(U_8072)
| ~ v6_vectsp_1(U_8072)
| ~ v4_group_1(U_8072)
| ~ v6_rlvect_1(U_8072)
| ~ v5_rlvect_1(U_8072)
| ~ v4_rlvect_1(U_8072)
| ~ v3_rlvect_1(U_8072)
| v3_struct_0(U_8072) ),
inference(clausify,[status(thm)],[f_3229_3]) ).
fof(f_3230_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = u1_struct_0(B)
| ~ m2_rmod_2(C,A,B,k2_rmod_2(A,B))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t88_rmod_2]) ).
fof(f_3230_2,plain,
! [U_8075] :
( ! [U_8074] :
( ! [U_8073] :
( U_8073 = u1_struct_0(U_8074)
| ~ m2_rmod_2(U_8073,U_8075,U_8074,k2_rmod_2(U_8075,U_8074))
| ~ m1_subset_1(U_8073,k1_zfmisc_1(u1_struct_0(U_8074))) )
| ~ l1_vectsp_2(U_8074,U_8075)
| ~ v5_vectsp_2(U_8074,U_8075)
| ~ v6_rlvect_1(U_8074)
| ~ v5_rlvect_1(U_8074)
| ~ v4_rlvect_1(U_8074)
| ~ v3_rlvect_1(U_8074)
| v3_struct_0(U_8074) )
| ~ l3_vectsp_1(U_8075)
| ~ v8_vectsp_1(U_8075)
| ~ v7_vectsp_1(U_8075)
| ~ v6_vectsp_1(U_8075)
| ~ v4_group_1(U_8075)
| ~ v6_rlvect_1(U_8075)
| ~ v5_rlvect_1(U_8075)
| ~ v4_rlvect_1(U_8075)
| ~ v3_rlvect_1(U_8075)
| v3_struct_0(U_8075) ),
inference(variable_rename,[status(thm)],[f_3230_1]) ).
fof(f_3230_3,plain,
! [U_8074,U_8073,U_8075] :
( U_8073 = u1_struct_0(U_8074)
| ~ m2_rmod_2(U_8073,U_8075,U_8074,k2_rmod_2(U_8075,U_8074))
| ~ m1_subset_1(U_8073,k1_zfmisc_1(u1_struct_0(U_8074)))
| ~ l1_vectsp_2(U_8074,U_8075)
| ~ v5_vectsp_2(U_8074,U_8075)
| ~ v6_rlvect_1(U_8074)
| ~ v5_rlvect_1(U_8074)
| ~ v4_rlvect_1(U_8074)
| ~ v3_rlvect_1(U_8074)
| v3_struct_0(U_8074)
| ~ l3_vectsp_1(U_8075)
| ~ v8_vectsp_1(U_8075)
| ~ v7_vectsp_1(U_8075)
| ~ v6_vectsp_1(U_8075)
| ~ v4_group_1(U_8075)
| ~ v6_rlvect_1(U_8075)
| ~ v5_rlvect_1(U_8075)
| ~ v4_rlvect_1(U_8075)
| ~ v3_rlvect_1(U_8075)
| v3_struct_0(U_8075) ),
inference(definitional_conversion,[status(esa)],[f_3230_2]) ).
cnf(f_3230_4,plain,
( U_8073 = u1_struct_0(U_8074)
| ~ m2_rmod_2(U_8073,U_8075,U_8074,k2_rmod_2(U_8075,U_8074))
| ~ m1_subset_1(U_8073,k1_zfmisc_1(u1_struct_0(U_8074)))
| ~ l1_vectsp_2(U_8074,U_8075)
| ~ v5_vectsp_2(U_8074,U_8075)
| ~ v6_rlvect_1(U_8074)
| ~ v5_rlvect_1(U_8074)
| ~ v4_rlvect_1(U_8074)
| ~ v3_rlvect_1(U_8074)
| v3_struct_0(U_8074)
| ~ l3_vectsp_1(U_8075)
| ~ v8_vectsp_1(U_8075)
| ~ v7_vectsp_1(U_8075)
| ~ v6_vectsp_1(U_8075)
| ~ v4_group_1(U_8075)
| ~ v6_rlvect_1(U_8075)
| ~ v5_rlvect_1(U_8075)
| ~ v4_rlvect_1(U_8075)
| ~ v3_rlvect_1(U_8075)
| v3_struct_0(U_8075) ),
inference(clausify,[status(thm)],[f_3230_3]) ).
fof(f_3231_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r2_hidden(k1_rlvect_1(B),D)
| D != u1_struct_0(C) )
& ( D = u1_struct_0(C)
| ~ r2_hidden(k1_rlvect_1(B),D) ) )
| ~ m2_rmod_2(D,A,B,C) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t89_rmod_2]) ).
fof(f_3231_2,plain,
! [U_8079] :
( ! [U_8078] :
( ! [U_8077] :
( ! [U_8076] :
( ( ( r2_hidden(k1_rlvect_1(U_8078),U_8076)
| U_8076 != u1_struct_0(U_8077) )
& ( U_8076 = u1_struct_0(U_8077)
| ~ r2_hidden(k1_rlvect_1(U_8078),U_8076) ) )
| ~ m2_rmod_2(U_8076,U_8079,U_8078,U_8077) )
| ~ m1_rmod_2(U_8077,U_8079,U_8078) )
| ~ l1_vectsp_2(U_8078,U_8079)
| ~ v5_vectsp_2(U_8078,U_8079)
| ~ v6_rlvect_1(U_8078)
| ~ v5_rlvect_1(U_8078)
| ~ v4_rlvect_1(U_8078)
| ~ v3_rlvect_1(U_8078)
| v3_struct_0(U_8078) )
| ~ l3_vectsp_1(U_8079)
| ~ v8_vectsp_1(U_8079)
| ~ v7_vectsp_1(U_8079)
| ~ v6_vectsp_1(U_8079)
| ~ v4_group_1(U_8079)
| ~ v6_rlvect_1(U_8079)
| ~ v5_rlvect_1(U_8079)
| ~ v4_rlvect_1(U_8079)
| ~ v3_rlvect_1(U_8079)
| v3_struct_0(U_8079) ),
inference(variable_rename,[status(thm)],[f_3231_1]) ).
fof(f_3231_3,plain,
( ! [U_8077,U_8076,U_8078] :
( r2_hidden(k1_rlvect_1(U_8078),U_8076)
| U_8076 != u1_struct_0(U_8077)
| ~ sP1437(U_8077,U_8076,U_8078) )
& ! [U_8077,U_8076,U_8078] :
( U_8076 = u1_struct_0(U_8077)
| ~ r2_hidden(k1_rlvect_1(U_8078),U_8076)
| ~ sP1437(U_8077,U_8076,U_8078) )
& ! [U_8077,U_8079,U_8076,U_8078] :
( sP1437(U_8077,U_8076,U_8078)
| ~ m2_rmod_2(U_8076,U_8079,U_8078,U_8077)
| ~ m1_rmod_2(U_8077,U_8079,U_8078)
| ~ l1_vectsp_2(U_8078,U_8079)
| ~ v5_vectsp_2(U_8078,U_8079)
| ~ v6_rlvect_1(U_8078)
| ~ v5_rlvect_1(U_8078)
| ~ v4_rlvect_1(U_8078)
| ~ v3_rlvect_1(U_8078)
| v3_struct_0(U_8078)
| ~ l3_vectsp_1(U_8079)
| ~ v8_vectsp_1(U_8079)
| ~ v7_vectsp_1(U_8079)
| ~ v6_vectsp_1(U_8079)
| ~ v4_group_1(U_8079)
| ~ v6_rlvect_1(U_8079)
| ~ v5_rlvect_1(U_8079)
| ~ v4_rlvect_1(U_8079)
| ~ v3_rlvect_1(U_8079)
| v3_struct_0(U_8079) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1437])],[f_3231_2]) ).
cnf(f_3231_4,plain,
( sP1437(U_8077,U_8076,U_8078)
| ~ m2_rmod_2(U_8076,U_8079,U_8078,U_8077)
| ~ m1_rmod_2(U_8077,U_8079,U_8078)
| ~ l1_vectsp_2(U_8078,U_8079)
| ~ v5_vectsp_2(U_8078,U_8079)
| ~ v6_rlvect_1(U_8078)
| ~ v5_rlvect_1(U_8078)
| ~ v4_rlvect_1(U_8078)
| ~ v3_rlvect_1(U_8078)
| v3_struct_0(U_8078)
| ~ l3_vectsp_1(U_8079)
| ~ v8_vectsp_1(U_8079)
| ~ v7_vectsp_1(U_8079)
| ~ v6_vectsp_1(U_8079)
| ~ v4_group_1(U_8079)
| ~ v6_rlvect_1(U_8079)
| ~ v5_rlvect_1(U_8079)
| ~ v4_rlvect_1(U_8079)
| ~ v3_rlvect_1(U_8079)
| v3_struct_0(U_8079) ),
inference(clausify,[status(thm)],[f_3231_3]) ).
cnf(f_3231_5,plain,
( U_8076 = u1_struct_0(U_8077)
| ~ r2_hidden(k1_rlvect_1(U_8078),U_8076)
| ~ sP1437(U_8077,U_8076,U_8078) ),
inference(clausify,[status(thm)],[f_3231_3]) ).
cnf(f_3231_6,plain,
( r2_hidden(k1_rlvect_1(U_8078),U_8076)
| U_8076 != u1_struct_0(U_8077)
| ~ sP1437(U_8077,U_8076,U_8078) ),
inference(clausify,[status(thm)],[f_3231_3]) ).
fof(f_3232_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( r2_hidden(C,E)
| E != k3_rmod_2(A,B,C,D) )
& ( E = k3_rmod_2(A,B,C,D)
| ~ r2_hidden(C,E) ) )
| ~ m2_rmod_2(E,A,B,D) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t90_rmod_2]) ).
fof(f_3232_2,plain,
! [U_8084] :
( ! [U_8083] :
( ! [U_8082] :
( ! [U_8081] :
( ! [U_8080] :
( ( ( r2_hidden(U_8082,U_8080)
| U_8080 != k3_rmod_2(U_8084,U_8083,U_8082,U_8081) )
& ( U_8080 = k3_rmod_2(U_8084,U_8083,U_8082,U_8081)
| ~ r2_hidden(U_8082,U_8080) ) )
| ~ m2_rmod_2(U_8080,U_8084,U_8083,U_8081) )
| ~ m1_rmod_2(U_8081,U_8084,U_8083) )
| ~ m1_subset_1(U_8082,u1_struct_0(U_8083)) )
| ~ l1_vectsp_2(U_8083,U_8084)
| ~ v5_vectsp_2(U_8083,U_8084)
| ~ v6_rlvect_1(U_8083)
| ~ v5_rlvect_1(U_8083)
| ~ v4_rlvect_1(U_8083)
| ~ v3_rlvect_1(U_8083)
| v3_struct_0(U_8083) )
| ~ l3_vectsp_1(U_8084)
| ~ v8_vectsp_1(U_8084)
| ~ v7_vectsp_1(U_8084)
| ~ v6_vectsp_1(U_8084)
| ~ v4_group_1(U_8084)
| ~ v6_rlvect_1(U_8084)
| ~ v5_rlvect_1(U_8084)
| ~ v4_rlvect_1(U_8084)
| ~ v3_rlvect_1(U_8084)
| v3_struct_0(U_8084) ),
inference(variable_rename,[status(thm)],[f_3232_1]) ).
fof(f_3232_3,plain,
( ! [U_8081,U_8080,U_8084,U_8083,U_8082] :
( r2_hidden(U_8082,U_8080)
| U_8080 != k3_rmod_2(U_8084,U_8083,U_8082,U_8081)
| ~ sP1438(U_8081,U_8080,U_8084,U_8083,U_8082) )
& ! [U_8081,U_8080,U_8084,U_8083,U_8082] :
( U_8080 = k3_rmod_2(U_8084,U_8083,U_8082,U_8081)
| ~ r2_hidden(U_8082,U_8080)
| ~ sP1438(U_8081,U_8080,U_8084,U_8083,U_8082) )
& ! [U_8081,U_8080,U_8084,U_8083,U_8082] :
( sP1438(U_8081,U_8080,U_8084,U_8083,U_8082)
| ~ m2_rmod_2(U_8080,U_8084,U_8083,U_8081)
| ~ m1_rmod_2(U_8081,U_8084,U_8083)
| ~ m1_subset_1(U_8082,u1_struct_0(U_8083))
| ~ l1_vectsp_2(U_8083,U_8084)
| ~ v5_vectsp_2(U_8083,U_8084)
| ~ v6_rlvect_1(U_8083)
| ~ v5_rlvect_1(U_8083)
| ~ v4_rlvect_1(U_8083)
| ~ v3_rlvect_1(U_8083)
| v3_struct_0(U_8083)
| ~ l3_vectsp_1(U_8084)
| ~ v8_vectsp_1(U_8084)
| ~ v7_vectsp_1(U_8084)
| ~ v6_vectsp_1(U_8084)
| ~ v4_group_1(U_8084)
| ~ v6_rlvect_1(U_8084)
| ~ v5_rlvect_1(U_8084)
| ~ v4_rlvect_1(U_8084)
| ~ v3_rlvect_1(U_8084)
| v3_struct_0(U_8084) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1438])],[f_3232_2]) ).
cnf(f_3232_4,plain,
( sP1438(U_8081,U_8080,U_8084,U_8083,U_8082)
| ~ m2_rmod_2(U_8080,U_8084,U_8083,U_8081)
| ~ m1_rmod_2(U_8081,U_8084,U_8083)
| ~ m1_subset_1(U_8082,u1_struct_0(U_8083))
| ~ l1_vectsp_2(U_8083,U_8084)
| ~ v5_vectsp_2(U_8083,U_8084)
| ~ v6_rlvect_1(U_8083)
| ~ v5_rlvect_1(U_8083)
| ~ v4_rlvect_1(U_8083)
| ~ v3_rlvect_1(U_8083)
| v3_struct_0(U_8083)
| ~ l3_vectsp_1(U_8084)
| ~ v8_vectsp_1(U_8084)
| ~ v7_vectsp_1(U_8084)
| ~ v6_vectsp_1(U_8084)
| ~ v4_group_1(U_8084)
| ~ v6_rlvect_1(U_8084)
| ~ v5_rlvect_1(U_8084)
| ~ v4_rlvect_1(U_8084)
| ~ v3_rlvect_1(U_8084)
| v3_struct_0(U_8084) ),
inference(clausify,[status(thm)],[f_3232_3]) ).
cnf(f_3232_5,plain,
( U_8080 = k3_rmod_2(U_8084,U_8083,U_8082,U_8081)
| ~ r2_hidden(U_8082,U_8080)
| ~ sP1438(U_8081,U_8080,U_8084,U_8083,U_8082) ),
inference(clausify,[status(thm)],[f_3232_3]) ).
cnf(f_3232_6,plain,
( r2_hidden(U_8082,U_8080)
| U_8080 != k3_rmod_2(U_8084,U_8083,U_8082,U_8081)
| ~ sP1438(U_8081,U_8080,U_8084,U_8083,U_8082) ),
inference(clausify,[status(thm)],[f_3232_3]) ).
fof(f_3233_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ? [G] :
( k4_rlvect_1(B,C,G) = D
& r1_rlvect_1(E,G)
& m1_subset_1(G,u1_struct_0(B)) )
| ~ r2_hidden(D,F)
| ~ r2_hidden(C,F)
| ~ m2_rmod_2(F,A,B,E) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t91_rmod_2]) ).
fof(f_3233_2,plain,
! [U_8091] :
( ! [U_8090] :
( ! [U_8089] :
( ! [U_8088] :
( ! [U_8087] :
( ! [U_8086] :
( ? [U_8085] :
( k4_rlvect_1(U_8090,U_8089,U_8085) = U_8088
& r1_rlvect_1(U_8087,U_8085)
& m1_subset_1(U_8085,u1_struct_0(U_8090)) )
| ~ r2_hidden(U_8088,U_8086)
| ~ r2_hidden(U_8089,U_8086)
| ~ m2_rmod_2(U_8086,U_8091,U_8090,U_8087) )
| ~ m1_rmod_2(U_8087,U_8091,U_8090) )
| ~ m1_subset_1(U_8088,u1_struct_0(U_8090)) )
| ~ m1_subset_1(U_8089,u1_struct_0(U_8090)) )
| ~ l1_vectsp_2(U_8090,U_8091)
| ~ v5_vectsp_2(U_8090,U_8091)
| ~ v6_rlvect_1(U_8090)
| ~ v5_rlvect_1(U_8090)
| ~ v4_rlvect_1(U_8090)
| ~ v3_rlvect_1(U_8090)
| v3_struct_0(U_8090) )
| ~ l3_vectsp_1(U_8091)
| ~ v8_vectsp_1(U_8091)
| ~ v7_vectsp_1(U_8091)
| ~ v6_vectsp_1(U_8091)
| ~ v4_group_1(U_8091)
| ~ v6_rlvect_1(U_8091)
| ~ v5_rlvect_1(U_8091)
| ~ v4_rlvect_1(U_8091)
| ~ v3_rlvect_1(U_8091)
| v3_struct_0(U_8091) ),
inference(variable_rename,[status(thm)],[f_3233_1]) ).
fof(f_3233_3,plain,
! [U_8091] :
( ! [U_8090] :
( ! [U_8089] :
( ! [U_8088] :
( ! [U_8087] :
( ! [U_8086] :
( ( k4_rlvect_1(U_8090,U_8089,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086)) = U_8088
& r1_rlvect_1(U_8087,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086))
& m1_subset_1(sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086),u1_struct_0(U_8090)) )
| ~ r2_hidden(U_8088,U_8086)
| ~ r2_hidden(U_8089,U_8086)
| ~ m2_rmod_2(U_8086,U_8091,U_8090,U_8087) )
| ~ m1_rmod_2(U_8087,U_8091,U_8090) )
| ~ m1_subset_1(U_8088,u1_struct_0(U_8090)) )
| ~ m1_subset_1(U_8089,u1_struct_0(U_8090)) )
| ~ l1_vectsp_2(U_8090,U_8091)
| ~ v5_vectsp_2(U_8090,U_8091)
| ~ v6_rlvect_1(U_8090)
| ~ v5_rlvect_1(U_8090)
| ~ v4_rlvect_1(U_8090)
| ~ v3_rlvect_1(U_8090)
| v3_struct_0(U_8090) )
| ~ l3_vectsp_1(U_8091)
| ~ v8_vectsp_1(U_8091)
| ~ v7_vectsp_1(U_8091)
| ~ v6_vectsp_1(U_8091)
| ~ v4_group_1(U_8091)
| ~ v6_rlvect_1(U_8091)
| ~ v5_rlvect_1(U_8091)
| ~ v4_rlvect_1(U_8091)
| ~ v3_rlvect_1(U_8091)
| v3_struct_0(U_8091) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK953]),skolemize(U_8085,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086))],[f_3233_2]) ).
fof(f_3233_4,plain,
( ! [U_8091,U_8090,U_8089,U_8087,U_8088,U_8086] :
( k4_rlvect_1(U_8090,U_8089,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086)) = U_8088
| ~ sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086) )
& ! [U_8091,U_8090,U_8089,U_8087,U_8088,U_8086] :
( r1_rlvect_1(U_8087,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086))
| ~ sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086) )
& ! [U_8091,U_8090,U_8089,U_8087,U_8088,U_8086] :
( m1_subset_1(sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086),u1_struct_0(U_8090))
| ~ sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086) )
& ! [U_8091,U_8090,U_8089,U_8087,U_8088,U_8086] :
( sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086)
| ~ r2_hidden(U_8088,U_8086)
| ~ r2_hidden(U_8089,U_8086)
| ~ m2_rmod_2(U_8086,U_8091,U_8090,U_8087)
| ~ m1_rmod_2(U_8087,U_8091,U_8090)
| ~ m1_subset_1(U_8088,u1_struct_0(U_8090))
| ~ m1_subset_1(U_8089,u1_struct_0(U_8090))
| ~ l1_vectsp_2(U_8090,U_8091)
| ~ v5_vectsp_2(U_8090,U_8091)
| ~ v6_rlvect_1(U_8090)
| ~ v5_rlvect_1(U_8090)
| ~ v4_rlvect_1(U_8090)
| ~ v3_rlvect_1(U_8090)
| v3_struct_0(U_8090)
| ~ l3_vectsp_1(U_8091)
| ~ v8_vectsp_1(U_8091)
| ~ v7_vectsp_1(U_8091)
| ~ v6_vectsp_1(U_8091)
| ~ v4_group_1(U_8091)
| ~ v6_rlvect_1(U_8091)
| ~ v5_rlvect_1(U_8091)
| ~ v4_rlvect_1(U_8091)
| ~ v3_rlvect_1(U_8091)
| v3_struct_0(U_8091) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1439])],[f_3233_3]) ).
cnf(f_3233_5,plain,
( sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086)
| ~ r2_hidden(U_8088,U_8086)
| ~ r2_hidden(U_8089,U_8086)
| ~ m2_rmod_2(U_8086,U_8091,U_8090,U_8087)
| ~ m1_rmod_2(U_8087,U_8091,U_8090)
| ~ m1_subset_1(U_8088,u1_struct_0(U_8090))
| ~ m1_subset_1(U_8089,u1_struct_0(U_8090))
| ~ l1_vectsp_2(U_8090,U_8091)
| ~ v5_vectsp_2(U_8090,U_8091)
| ~ v6_rlvect_1(U_8090)
| ~ v5_rlvect_1(U_8090)
| ~ v4_rlvect_1(U_8090)
| ~ v3_rlvect_1(U_8090)
| v3_struct_0(U_8090)
| ~ l3_vectsp_1(U_8091)
| ~ v8_vectsp_1(U_8091)
| ~ v7_vectsp_1(U_8091)
| ~ v6_vectsp_1(U_8091)
| ~ v4_group_1(U_8091)
| ~ v6_rlvect_1(U_8091)
| ~ v5_rlvect_1(U_8091)
| ~ v4_rlvect_1(U_8091)
| ~ v3_rlvect_1(U_8091)
| v3_struct_0(U_8091) ),
inference(clausify,[status(thm)],[f_3233_4]) ).
cnf(f_3233_6,plain,
( m1_subset_1(sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086),u1_struct_0(U_8090))
| ~ sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086) ),
inference(clausify,[status(thm)],[f_3233_4]) ).
cnf(f_3233_7,plain,
( r1_rlvect_1(U_8087,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086))
| ~ sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086) ),
inference(clausify,[status(thm)],[f_3233_4]) ).
cnf(f_3233_8,plain,
( k4_rlvect_1(U_8090,U_8089,sK953(U_8091,U_8090,U_8089,U_8088,U_8087,U_8086)) = U_8088
| ~ sP1439(U_8091,U_8090,U_8089,U_8087,U_8088,U_8086) ),
inference(clausify,[status(thm)],[f_3233_4]) ).
fof(f_3234_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ? [G] :
( k6_rlvect_1(B,C,G) = D
& r1_rlvect_1(E,G)
& m1_subset_1(G,u1_struct_0(B)) )
| ~ r2_hidden(D,F)
| ~ r2_hidden(C,F)
| ~ m2_rmod_2(F,A,B,E) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t92_rmod_2]) ).
fof(f_3234_2,plain,
! [U_8098] :
( ! [U_8097] :
( ! [U_8096] :
( ! [U_8095] :
( ! [U_8094] :
( ! [U_8093] :
( ? [U_8092] :
( k6_rlvect_1(U_8097,U_8096,U_8092) = U_8095
& r1_rlvect_1(U_8094,U_8092)
& m1_subset_1(U_8092,u1_struct_0(U_8097)) )
| ~ r2_hidden(U_8095,U_8093)
| ~ r2_hidden(U_8096,U_8093)
| ~ m2_rmod_2(U_8093,U_8098,U_8097,U_8094) )
| ~ m1_rmod_2(U_8094,U_8098,U_8097) )
| ~ m1_subset_1(U_8095,u1_struct_0(U_8097)) )
| ~ m1_subset_1(U_8096,u1_struct_0(U_8097)) )
| ~ l1_vectsp_2(U_8097,U_8098)
| ~ v5_vectsp_2(U_8097,U_8098)
| ~ v6_rlvect_1(U_8097)
| ~ v5_rlvect_1(U_8097)
| ~ v4_rlvect_1(U_8097)
| ~ v3_rlvect_1(U_8097)
| v3_struct_0(U_8097) )
| ~ l3_vectsp_1(U_8098)
| ~ v8_vectsp_1(U_8098)
| ~ v7_vectsp_1(U_8098)
| ~ v6_vectsp_1(U_8098)
| ~ v4_group_1(U_8098)
| ~ v6_rlvect_1(U_8098)
| ~ v5_rlvect_1(U_8098)
| ~ v4_rlvect_1(U_8098)
| ~ v3_rlvect_1(U_8098)
| v3_struct_0(U_8098) ),
inference(variable_rename,[status(thm)],[f_3234_1]) ).
fof(f_3234_3,plain,
! [U_8098] :
( ! [U_8097] :
( ! [U_8096] :
( ! [U_8095] :
( ! [U_8094] :
( ! [U_8093] :
( ( k6_rlvect_1(U_8097,U_8096,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093)) = U_8095
& r1_rlvect_1(U_8094,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093))
& m1_subset_1(sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093),u1_struct_0(U_8097)) )
| ~ r2_hidden(U_8095,U_8093)
| ~ r2_hidden(U_8096,U_8093)
| ~ m2_rmod_2(U_8093,U_8098,U_8097,U_8094) )
| ~ m1_rmod_2(U_8094,U_8098,U_8097) )
| ~ m1_subset_1(U_8095,u1_struct_0(U_8097)) )
| ~ m1_subset_1(U_8096,u1_struct_0(U_8097)) )
| ~ l1_vectsp_2(U_8097,U_8098)
| ~ v5_vectsp_2(U_8097,U_8098)
| ~ v6_rlvect_1(U_8097)
| ~ v5_rlvect_1(U_8097)
| ~ v4_rlvect_1(U_8097)
| ~ v3_rlvect_1(U_8097)
| v3_struct_0(U_8097) )
| ~ l3_vectsp_1(U_8098)
| ~ v8_vectsp_1(U_8098)
| ~ v7_vectsp_1(U_8098)
| ~ v6_vectsp_1(U_8098)
| ~ v4_group_1(U_8098)
| ~ v6_rlvect_1(U_8098)
| ~ v5_rlvect_1(U_8098)
| ~ v4_rlvect_1(U_8098)
| ~ v3_rlvect_1(U_8098)
| v3_struct_0(U_8098) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK954]),skolemize(U_8092,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093))],[f_3234_2]) ).
fof(f_3234_4,plain,
( ! [U_8093,U_8097,U_8096,U_8094,U_8095,U_8098] :
( k6_rlvect_1(U_8097,U_8096,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093)) = U_8095
| ~ sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098) )
& ! [U_8093,U_8097,U_8096,U_8094,U_8095,U_8098] :
( r1_rlvect_1(U_8094,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093))
| ~ sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098) )
& ! [U_8093,U_8097,U_8096,U_8094,U_8095,U_8098] :
( m1_subset_1(sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093),u1_struct_0(U_8097))
| ~ sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098) )
& ! [U_8093,U_8097,U_8096,U_8094,U_8095,U_8098] :
( sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098)
| ~ r2_hidden(U_8095,U_8093)
| ~ r2_hidden(U_8096,U_8093)
| ~ m2_rmod_2(U_8093,U_8098,U_8097,U_8094)
| ~ m1_rmod_2(U_8094,U_8098,U_8097)
| ~ m1_subset_1(U_8095,u1_struct_0(U_8097))
| ~ m1_subset_1(U_8096,u1_struct_0(U_8097))
| ~ l1_vectsp_2(U_8097,U_8098)
| ~ v5_vectsp_2(U_8097,U_8098)
| ~ v6_rlvect_1(U_8097)
| ~ v5_rlvect_1(U_8097)
| ~ v4_rlvect_1(U_8097)
| ~ v3_rlvect_1(U_8097)
| v3_struct_0(U_8097)
| ~ l3_vectsp_1(U_8098)
| ~ v8_vectsp_1(U_8098)
| ~ v7_vectsp_1(U_8098)
| ~ v6_vectsp_1(U_8098)
| ~ v4_group_1(U_8098)
| ~ v6_rlvect_1(U_8098)
| ~ v5_rlvect_1(U_8098)
| ~ v4_rlvect_1(U_8098)
| ~ v3_rlvect_1(U_8098)
| v3_struct_0(U_8098) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1440])],[f_3234_3]) ).
cnf(f_3234_5,plain,
( sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098)
| ~ r2_hidden(U_8095,U_8093)
| ~ r2_hidden(U_8096,U_8093)
| ~ m2_rmod_2(U_8093,U_8098,U_8097,U_8094)
| ~ m1_rmod_2(U_8094,U_8098,U_8097)
| ~ m1_subset_1(U_8095,u1_struct_0(U_8097))
| ~ m1_subset_1(U_8096,u1_struct_0(U_8097))
| ~ l1_vectsp_2(U_8097,U_8098)
| ~ v5_vectsp_2(U_8097,U_8098)
| ~ v6_rlvect_1(U_8097)
| ~ v5_rlvect_1(U_8097)
| ~ v4_rlvect_1(U_8097)
| ~ v3_rlvect_1(U_8097)
| v3_struct_0(U_8097)
| ~ l3_vectsp_1(U_8098)
| ~ v8_vectsp_1(U_8098)
| ~ v7_vectsp_1(U_8098)
| ~ v6_vectsp_1(U_8098)
| ~ v4_group_1(U_8098)
| ~ v6_rlvect_1(U_8098)
| ~ v5_rlvect_1(U_8098)
| ~ v4_rlvect_1(U_8098)
| ~ v3_rlvect_1(U_8098)
| v3_struct_0(U_8098) ),
inference(clausify,[status(thm)],[f_3234_4]) ).
cnf(f_3234_6,plain,
( m1_subset_1(sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093),u1_struct_0(U_8097))
| ~ sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098) ),
inference(clausify,[status(thm)],[f_3234_4]) ).
cnf(f_3234_7,plain,
( r1_rlvect_1(U_8094,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093))
| ~ sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098) ),
inference(clausify,[status(thm)],[f_3234_4]) ).
cnf(f_3234_8,plain,
( k6_rlvect_1(U_8097,U_8096,sK954(U_8098,U_8097,U_8096,U_8095,U_8094,U_8093)) = U_8095
| ~ sP1440(U_8093,U_8097,U_8096,U_8094,U_8095,U_8098) ),
inference(clausify,[status(thm)],[f_3234_4]) ).
fof(f_3235_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( ? [F] :
( r2_hidden(D,F)
& r2_hidden(C,F)
& m2_rmod_2(F,A,B,E) )
| ~ r1_rlvect_1(E,k6_rlvect_1(B,C,D)) )
& ( r1_rlvect_1(E,k6_rlvect_1(B,C,D))
| ! [F] :
( ~ r2_hidden(D,F)
| ~ r2_hidden(C,F)
| ~ m2_rmod_2(F,A,B,E) ) ) )
| ~ m1_rmod_2(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t93_rmod_2]) ).
fof(f_3235_2,plain,
! [U_8105] :
( ! [U_8104] :
( ! [U_8103] :
( ! [U_8102] :
( ! [U_8101] :
( ( ( ? [U_8100] :
( r2_hidden(U_8102,U_8100)
& r2_hidden(U_8103,U_8100)
& m2_rmod_2(U_8100,U_8105,U_8104,U_8101) )
| ~ r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102)) )
& ( r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102))
| ! [U_8099] :
( ~ r2_hidden(U_8102,U_8099)
| ~ r2_hidden(U_8103,U_8099)
| ~ m2_rmod_2(U_8099,U_8105,U_8104,U_8101) ) ) )
| ~ m1_rmod_2(U_8101,U_8105,U_8104) )
| ~ m1_subset_1(U_8102,u1_struct_0(U_8104)) )
| ~ m1_subset_1(U_8103,u1_struct_0(U_8104)) )
| ~ l1_vectsp_2(U_8104,U_8105)
| ~ v5_vectsp_2(U_8104,U_8105)
| ~ v6_rlvect_1(U_8104)
| ~ v5_rlvect_1(U_8104)
| ~ v4_rlvect_1(U_8104)
| ~ v3_rlvect_1(U_8104)
| v3_struct_0(U_8104) )
| ~ l3_vectsp_1(U_8105)
| ~ v8_vectsp_1(U_8105)
| ~ v7_vectsp_1(U_8105)
| ~ v6_vectsp_1(U_8105)
| ~ v4_group_1(U_8105)
| ~ v6_rlvect_1(U_8105)
| ~ v5_rlvect_1(U_8105)
| ~ v4_rlvect_1(U_8105)
| ~ v3_rlvect_1(U_8105)
| v3_struct_0(U_8105) ),
inference(variable_rename,[status(thm)],[f_3235_1]) ).
fof(f_3235_3,plain,
! [U_8105] :
( ! [U_8104] :
( ! [U_8103] :
( ! [U_8102] :
( ! [U_8101] :
( ( ( ( r2_hidden(U_8102,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))
& r2_hidden(U_8103,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))
& m2_rmod_2(sK955(U_8105,U_8104,U_8103,U_8102,U_8101),U_8105,U_8104,U_8101) )
| ~ r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102)) )
& ( r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102))
| ! [U_8099] :
( ~ r2_hidden(U_8102,U_8099)
| ~ r2_hidden(U_8103,U_8099)
| ~ m2_rmod_2(U_8099,U_8105,U_8104,U_8101) ) ) )
| ~ m1_rmod_2(U_8101,U_8105,U_8104) )
| ~ m1_subset_1(U_8102,u1_struct_0(U_8104)) )
| ~ m1_subset_1(U_8103,u1_struct_0(U_8104)) )
| ~ l1_vectsp_2(U_8104,U_8105)
| ~ v5_vectsp_2(U_8104,U_8105)
| ~ v6_rlvect_1(U_8104)
| ~ v5_rlvect_1(U_8104)
| ~ v4_rlvect_1(U_8104)
| ~ v3_rlvect_1(U_8104)
| v3_struct_0(U_8104) )
| ~ l3_vectsp_1(U_8105)
| ~ v8_vectsp_1(U_8105)
| ~ v7_vectsp_1(U_8105)
| ~ v6_vectsp_1(U_8105)
| ~ v4_group_1(U_8105)
| ~ v6_rlvect_1(U_8105)
| ~ v5_rlvect_1(U_8105)
| ~ v4_rlvect_1(U_8105)
| ~ v3_rlvect_1(U_8105)
| v3_struct_0(U_8105) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK955]),skolemize(U_8100,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))],[f_3235_2]) ).
fof(f_3235_4,plain,
( ! [U_8103,U_8101,U_8105,U_8104,U_8102] :
( r2_hidden(U_8102,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))
| ~ sP1441(U_8103,U_8101,U_8105,U_8104,U_8102) )
& ! [U_8103,U_8101,U_8105,U_8104,U_8102] :
( r2_hidden(U_8103,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))
| ~ sP1441(U_8103,U_8101,U_8105,U_8104,U_8102) )
& ! [U_8103,U_8101,U_8105,U_8104,U_8102] :
( m2_rmod_2(sK955(U_8105,U_8104,U_8103,U_8102,U_8101),U_8105,U_8104,U_8101)
| ~ sP1441(U_8103,U_8101,U_8105,U_8104,U_8102) )
& ! [U_8103,U_8101,U_8105,U_8104,U_8099,U_8102] :
( sP1441(U_8103,U_8101,U_8105,U_8104,U_8102)
| ~ r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102))
| ~ sP1442(U_8103,U_8101,U_8105,U_8104,U_8099,U_8102) )
& ! [U_8103,U_8101,U_8105,U_8104,U_8099,U_8102] :
( r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102))
| ~ r2_hidden(U_8102,U_8099)
| ~ r2_hidden(U_8103,U_8099)
| ~ m2_rmod_2(U_8099,U_8105,U_8104,U_8101)
| ~ sP1442(U_8103,U_8101,U_8105,U_8104,U_8099,U_8102) )
& ! [U_8103,U_8101,U_8105,U_8104,U_8099,U_8102] :
( sP1442(U_8103,U_8101,U_8105,U_8104,U_8099,U_8102)
| ~ m1_rmod_2(U_8101,U_8105,U_8104)
| ~ m1_subset_1(U_8102,u1_struct_0(U_8104))
| ~ m1_subset_1(U_8103,u1_struct_0(U_8104))
| ~ l1_vectsp_2(U_8104,U_8105)
| ~ v5_vectsp_2(U_8104,U_8105)
| ~ v6_rlvect_1(U_8104)
| ~ v5_rlvect_1(U_8104)
| ~ v4_rlvect_1(U_8104)
| ~ v3_rlvect_1(U_8104)
| v3_struct_0(U_8104)
| ~ l3_vectsp_1(U_8105)
| ~ v8_vectsp_1(U_8105)
| ~ v7_vectsp_1(U_8105)
| ~ v6_vectsp_1(U_8105)
| ~ v4_group_1(U_8105)
| ~ v6_rlvect_1(U_8105)
| ~ v5_rlvect_1(U_8105)
| ~ v4_rlvect_1(U_8105)
| ~ v3_rlvect_1(U_8105)
| v3_struct_0(U_8105) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1441,sP1442])],[f_3235_3]) ).
cnf(f_3235_5,plain,
( sP1442(U_8103,U_8101,U_8105,U_8104,U_8099,U_8102)
| ~ m1_rmod_2(U_8101,U_8105,U_8104)
| ~ m1_subset_1(U_8102,u1_struct_0(U_8104))
| ~ m1_subset_1(U_8103,u1_struct_0(U_8104))
| ~ l1_vectsp_2(U_8104,U_8105)
| ~ v5_vectsp_2(U_8104,U_8105)
| ~ v6_rlvect_1(U_8104)
| ~ v5_rlvect_1(U_8104)
| ~ v4_rlvect_1(U_8104)
| ~ v3_rlvect_1(U_8104)
| v3_struct_0(U_8104)
| ~ l3_vectsp_1(U_8105)
| ~ v8_vectsp_1(U_8105)
| ~ v7_vectsp_1(U_8105)
| ~ v6_vectsp_1(U_8105)
| ~ v4_group_1(U_8105)
| ~ v6_rlvect_1(U_8105)
| ~ v5_rlvect_1(U_8105)
| ~ v4_rlvect_1(U_8105)
| ~ v3_rlvect_1(U_8105)
| v3_struct_0(U_8105) ),
inference(clausify,[status(thm)],[f_3235_4]) ).
cnf(f_3235_6,plain,
( r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102))
| ~ r2_hidden(U_8102,U_8099)
| ~ r2_hidden(U_8103,U_8099)
| ~ m2_rmod_2(U_8099,U_8105,U_8104,U_8101)
| ~ sP1442(U_8103,U_8101,U_8105,U_8104,U_8099,U_8102) ),
inference(clausify,[status(thm)],[f_3235_4]) ).
cnf(f_3235_7,plain,
( sP1441(U_8103,U_8101,U_8105,U_8104,U_8102)
| ~ r1_rlvect_1(U_8101,k6_rlvect_1(U_8104,U_8103,U_8102))
| ~ sP1442(U_8103,U_8101,U_8105,U_8104,U_8099,U_8102) ),
inference(clausify,[status(thm)],[f_3235_4]) ).
cnf(f_3235_8,plain,
( m2_rmod_2(sK955(U_8105,U_8104,U_8103,U_8102,U_8101),U_8105,U_8104,U_8101)
| ~ sP1441(U_8103,U_8101,U_8105,U_8104,U_8102) ),
inference(clausify,[status(thm)],[f_3235_4]) ).
cnf(f_3235_9,plain,
( r2_hidden(U_8103,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))
| ~ sP1441(U_8103,U_8101,U_8105,U_8104,U_8102) ),
inference(clausify,[status(thm)],[f_3235_4]) ).
cnf(f_3235_10,plain,
( r2_hidden(U_8102,sK955(U_8105,U_8104,U_8103,U_8102,U_8101))
| ~ sP1441(U_8103,U_8101,U_8105,U_8104,U_8102) ),
inference(clausify,[status(thm)],[f_3235_4]) ).
fof(f_3236_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( E = F
| ~ r2_hidden(C,F)
| ~ r2_hidden(C,E)
| ~ m2_rmod_2(F,A,B,D) )
| ~ m2_rmod_2(E,A,B,D) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t94_rmod_2]) ).
fof(f_3236_2,plain,
! [U_8111] :
( ! [U_8110] :
( ! [U_8109] :
( ! [U_8108] :
( ! [U_8107] :
( ! [U_8106] :
( U_8107 = U_8106
| ~ r2_hidden(U_8109,U_8106)
| ~ r2_hidden(U_8109,U_8107)
| ~ m2_rmod_2(U_8106,U_8111,U_8110,U_8108) )
| ~ m2_rmod_2(U_8107,U_8111,U_8110,U_8108) )
| ~ m1_rmod_2(U_8108,U_8111,U_8110) )
| ~ m1_subset_1(U_8109,u1_struct_0(U_8110)) )
| ~ l1_vectsp_2(U_8110,U_8111)
| ~ v5_vectsp_2(U_8110,U_8111)
| ~ v6_rlvect_1(U_8110)
| ~ v5_rlvect_1(U_8110)
| ~ v4_rlvect_1(U_8110)
| ~ v3_rlvect_1(U_8110)
| v3_struct_0(U_8110) )
| ~ l3_vectsp_1(U_8111)
| ~ v8_vectsp_1(U_8111)
| ~ v7_vectsp_1(U_8111)
| ~ v6_vectsp_1(U_8111)
| ~ v4_group_1(U_8111)
| ~ v6_rlvect_1(U_8111)
| ~ v5_rlvect_1(U_8111)
| ~ v4_rlvect_1(U_8111)
| ~ v3_rlvect_1(U_8111)
| v3_struct_0(U_8111) ),
inference(variable_rename,[status(thm)],[f_3236_1]) ).
fof(f_3236_3,plain,
! [U_8106,U_8111,U_8107,U_8108,U_8109,U_8110] :
( U_8107 = U_8106
| ~ r2_hidden(U_8109,U_8106)
| ~ r2_hidden(U_8109,U_8107)
| ~ m2_rmod_2(U_8106,U_8111,U_8110,U_8108)
| ~ m2_rmod_2(U_8107,U_8111,U_8110,U_8108)
| ~ m1_rmod_2(U_8108,U_8111,U_8110)
| ~ m1_subset_1(U_8109,u1_struct_0(U_8110))
| ~ l1_vectsp_2(U_8110,U_8111)
| ~ v5_vectsp_2(U_8110,U_8111)
| ~ v6_rlvect_1(U_8110)
| ~ v5_rlvect_1(U_8110)
| ~ v4_rlvect_1(U_8110)
| ~ v3_rlvect_1(U_8110)
| v3_struct_0(U_8110)
| ~ l3_vectsp_1(U_8111)
| ~ v8_vectsp_1(U_8111)
| ~ v7_vectsp_1(U_8111)
| ~ v6_vectsp_1(U_8111)
| ~ v4_group_1(U_8111)
| ~ v6_rlvect_1(U_8111)
| ~ v5_rlvect_1(U_8111)
| ~ v4_rlvect_1(U_8111)
| ~ v3_rlvect_1(U_8111)
| v3_struct_0(U_8111) ),
inference(definitional_conversion,[status(esa)],[f_3236_2]) ).
cnf(f_3236_4,plain,
( U_8107 = U_8106
| ~ r2_hidden(U_8109,U_8106)
| ~ r2_hidden(U_8109,U_8107)
| ~ m2_rmod_2(U_8106,U_8111,U_8110,U_8108)
| ~ m2_rmod_2(U_8107,U_8111,U_8110,U_8108)
| ~ m1_rmod_2(U_8108,U_8111,U_8110)
| ~ m1_subset_1(U_8109,u1_struct_0(U_8110))
| ~ l1_vectsp_2(U_8110,U_8111)
| ~ v5_vectsp_2(U_8110,U_8111)
| ~ v6_rlvect_1(U_8110)
| ~ v5_rlvect_1(U_8110)
| ~ v4_rlvect_1(U_8110)
| ~ v3_rlvect_1(U_8110)
| v3_struct_0(U_8110)
| ~ l3_vectsp_1(U_8111)
| ~ v8_vectsp_1(U_8111)
| ~ v7_vectsp_1(U_8111)
| ~ v6_vectsp_1(U_8111)
| ~ v4_group_1(U_8111)
| ~ v6_rlvect_1(U_8111)
| ~ v5_rlvect_1(U_8111)
| ~ v4_rlvect_1(U_8111)
| ~ v3_rlvect_1(U_8111)
| v3_struct_0(U_8111) ),
inference(clausify,[status(thm)],[f_3236_3]) ).
fof(f_3237_1,plain,
! [A,B] :
( ! [C] :
( ( l1_vectsp_2(C,A)
& v5_vectsp_2(C,A)
& v6_rlvect_1(C)
& v5_rlvect_1(C)
& v4_rlvect_1(C)
& v3_rlvect_1(C)
& ~ v3_struct_0(C) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_rmod_2]) ).
fof(f_3237_2,plain,
! [U_8114,U_8113] :
( ! [U_8112] :
( ( l1_vectsp_2(U_8112,U_8114)
& v5_vectsp_2(U_8112,U_8114)
& v6_rlvect_1(U_8112)
& v5_rlvect_1(U_8112)
& v4_rlvect_1(U_8112)
& v3_rlvect_1(U_8112)
& ~ v3_struct_0(U_8112) )
| ~ m1_rmod_2(U_8112,U_8114,U_8113) )
| ~ l1_vectsp_2(U_8113,U_8114)
| ~ v5_vectsp_2(U_8113,U_8114)
| ~ v6_rlvect_1(U_8113)
| ~ v5_rlvect_1(U_8113)
| ~ v4_rlvect_1(U_8113)
| ~ v3_rlvect_1(U_8113)
| v3_struct_0(U_8113)
| ~ l3_vectsp_1(U_8114)
| ~ v8_vectsp_1(U_8114)
| ~ v7_vectsp_1(U_8114)
| ~ v6_vectsp_1(U_8114)
| ~ v4_group_1(U_8114)
| ~ v6_rlvect_1(U_8114)
| ~ v5_rlvect_1(U_8114)
| ~ v4_rlvect_1(U_8114)
| ~ v3_rlvect_1(U_8114)
| v3_struct_0(U_8114) ),
inference(variable_rename,[status(thm)],[f_3237_1]) ).
fof(f_3237_3,plain,
( ! [U_8114,U_8112] :
( l1_vectsp_2(U_8112,U_8114)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8112] :
( v5_vectsp_2(U_8112,U_8114)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8112] :
( v6_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8112] :
( v5_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8112] :
( v4_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8112] :
( v3_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8112] :
( ~ v3_struct_0(U_8112)
| ~ sP1443(U_8114,U_8112) )
& ! [U_8114,U_8113,U_8112] :
( sP1443(U_8114,U_8112)
| ~ m1_rmod_2(U_8112,U_8114,U_8113)
| ~ l1_vectsp_2(U_8113,U_8114)
| ~ v5_vectsp_2(U_8113,U_8114)
| ~ v6_rlvect_1(U_8113)
| ~ v5_rlvect_1(U_8113)
| ~ v4_rlvect_1(U_8113)
| ~ v3_rlvect_1(U_8113)
| v3_struct_0(U_8113)
| ~ l3_vectsp_1(U_8114)
| ~ v8_vectsp_1(U_8114)
| ~ v7_vectsp_1(U_8114)
| ~ v6_vectsp_1(U_8114)
| ~ v4_group_1(U_8114)
| ~ v6_rlvect_1(U_8114)
| ~ v5_rlvect_1(U_8114)
| ~ v4_rlvect_1(U_8114)
| ~ v3_rlvect_1(U_8114)
| v3_struct_0(U_8114) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1443])],[f_3237_2]) ).
cnf(f_3237_4,plain,
( sP1443(U_8114,U_8112)
| ~ m1_rmod_2(U_8112,U_8114,U_8113)
| ~ l1_vectsp_2(U_8113,U_8114)
| ~ v5_vectsp_2(U_8113,U_8114)
| ~ v6_rlvect_1(U_8113)
| ~ v5_rlvect_1(U_8113)
| ~ v4_rlvect_1(U_8113)
| ~ v3_rlvect_1(U_8113)
| v3_struct_0(U_8113)
| ~ l3_vectsp_1(U_8114)
| ~ v8_vectsp_1(U_8114)
| ~ v7_vectsp_1(U_8114)
| ~ v6_vectsp_1(U_8114)
| ~ v4_group_1(U_8114)
| ~ v6_rlvect_1(U_8114)
| ~ v5_rlvect_1(U_8114)
| ~ v4_rlvect_1(U_8114)
| ~ v3_rlvect_1(U_8114)
| v3_struct_0(U_8114) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_5,plain,
( ~ v3_struct_0(U_8112)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_6,plain,
( v3_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_7,plain,
( v4_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_8,plain,
( v5_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_9,plain,
( v6_rlvect_1(U_8112)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_10,plain,
( v5_vectsp_2(U_8112,U_8114)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
cnf(f_3237_11,plain,
( l1_vectsp_2(U_8112,U_8114)
| ~ sP1443(U_8114,U_8112) ),
inference(clausify,[status(thm)],[f_3237_3]) ).
fof(f_3238_1,plain,
! [A,B] :
( ? [C] : m1_rmod_2(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_rmod_2]) ).
fof(f_3238_2,plain,
! [U_8117,U_8116] :
( ? [U_8115] : m1_rmod_2(U_8115,U_8117,U_8116)
| ~ l1_vectsp_2(U_8116,U_8117)
| ~ v5_vectsp_2(U_8116,U_8117)
| ~ v6_rlvect_1(U_8116)
| ~ v5_rlvect_1(U_8116)
| ~ v4_rlvect_1(U_8116)
| ~ v3_rlvect_1(U_8116)
| v3_struct_0(U_8116)
| ~ l3_vectsp_1(U_8117)
| ~ v8_vectsp_1(U_8117)
| ~ v7_vectsp_1(U_8117)
| ~ v6_vectsp_1(U_8117)
| ~ v4_group_1(U_8117)
| ~ v6_rlvect_1(U_8117)
| ~ v5_rlvect_1(U_8117)
| ~ v4_rlvect_1(U_8117)
| ~ v3_rlvect_1(U_8117)
| v3_struct_0(U_8117) ),
inference(variable_rename,[status(thm)],[f_3238_1]) ).
fof(f_3238_3,plain,
! [U_8117,U_8116] :
( m1_rmod_2(sK956(U_8117,U_8116),U_8117,U_8116)
| ~ l1_vectsp_2(U_8116,U_8117)
| ~ v5_vectsp_2(U_8116,U_8117)
| ~ v6_rlvect_1(U_8116)
| ~ v5_rlvect_1(U_8116)
| ~ v4_rlvect_1(U_8116)
| ~ v3_rlvect_1(U_8116)
| v3_struct_0(U_8116)
| ~ l3_vectsp_1(U_8117)
| ~ v8_vectsp_1(U_8117)
| ~ v7_vectsp_1(U_8117)
| ~ v6_vectsp_1(U_8117)
| ~ v4_group_1(U_8117)
| ~ v6_rlvect_1(U_8117)
| ~ v5_rlvect_1(U_8117)
| ~ v4_rlvect_1(U_8117)
| ~ v3_rlvect_1(U_8117)
| v3_struct_0(U_8117) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK956]),skolemize(U_8115,sK956(U_8117,U_8116))],[f_3238_2]) ).
fof(f_3238_4,plain,
! [U_8117,U_8116] :
( m1_rmod_2(sK956(U_8117,U_8116),U_8117,U_8116)
| ~ l1_vectsp_2(U_8116,U_8117)
| ~ v5_vectsp_2(U_8116,U_8117)
| ~ v6_rlvect_1(U_8116)
| ~ v5_rlvect_1(U_8116)
| ~ v4_rlvect_1(U_8116)
| ~ v3_rlvect_1(U_8116)
| v3_struct_0(U_8116)
| ~ l3_vectsp_1(U_8117)
| ~ v8_vectsp_1(U_8117)
| ~ v7_vectsp_1(U_8117)
| ~ v6_vectsp_1(U_8117)
| ~ v4_group_1(U_8117)
| ~ v6_rlvect_1(U_8117)
| ~ v5_rlvect_1(U_8117)
| ~ v4_rlvect_1(U_8117)
| ~ v3_rlvect_1(U_8117)
| v3_struct_0(U_8117) ),
inference(definitional_conversion,[status(esa)],[f_3238_3]) ).
cnf(f_3238_5,plain,
( m1_rmod_2(sK956(U_8117,U_8116),U_8117,U_8116)
| ~ l1_vectsp_2(U_8116,U_8117)
| ~ v5_vectsp_2(U_8116,U_8117)
| ~ v6_rlvect_1(U_8116)
| ~ v5_rlvect_1(U_8116)
| ~ v4_rlvect_1(U_8116)
| ~ v3_rlvect_1(U_8116)
| v3_struct_0(U_8116)
| ~ l3_vectsp_1(U_8117)
| ~ v8_vectsp_1(U_8117)
| ~ v7_vectsp_1(U_8117)
| ~ v6_vectsp_1(U_8117)
| ~ v4_group_1(U_8117)
| ~ v6_rlvect_1(U_8117)
| ~ v5_rlvect_1(U_8117)
| ~ v4_rlvect_1(U_8117)
| ~ v3_rlvect_1(U_8117)
| v3_struct_0(U_8117) ),
inference(clausify,[status(thm)],[f_3238_4]) ).
fof(f_3239_1,plain,
! [A,B,C] :
( ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ m2_rmod_2(D,A,B,C) )
| ~ m1_rmod_2(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_rmod_2]) ).
fof(f_3239_2,plain,
! [U_8121,U_8120,U_8119] :
( ! [U_8118] :
( m1_subset_1(U_8118,k1_zfmisc_1(u1_struct_0(U_8120)))
| ~ m2_rmod_2(U_8118,U_8121,U_8120,U_8119) )
| ~ m1_rmod_2(U_8119,U_8121,U_8120)
| ~ l1_vectsp_2(U_8120,U_8121)
| ~ v5_vectsp_2(U_8120,U_8121)
| ~ v6_rlvect_1(U_8120)
| ~ v5_rlvect_1(U_8120)
| ~ v4_rlvect_1(U_8120)
| ~ v3_rlvect_1(U_8120)
| v3_struct_0(U_8120)
| ~ l3_vectsp_1(U_8121)
| ~ v8_vectsp_1(U_8121)
| ~ v7_vectsp_1(U_8121)
| ~ v6_vectsp_1(U_8121)
| ~ v4_group_1(U_8121)
| ~ v6_rlvect_1(U_8121)
| ~ v5_rlvect_1(U_8121)
| ~ v4_rlvect_1(U_8121)
| ~ v3_rlvect_1(U_8121)
| v3_struct_0(U_8121) ),
inference(variable_rename,[status(thm)],[f_3239_1]) ).
fof(f_3239_3,plain,
! [U_8120,U_8121,U_8118,U_8119] :
( m1_subset_1(U_8118,k1_zfmisc_1(u1_struct_0(U_8120)))
| ~ m2_rmod_2(U_8118,U_8121,U_8120,U_8119)
| ~ m1_rmod_2(U_8119,U_8121,U_8120)
| ~ l1_vectsp_2(U_8120,U_8121)
| ~ v5_vectsp_2(U_8120,U_8121)
| ~ v6_rlvect_1(U_8120)
| ~ v5_rlvect_1(U_8120)
| ~ v4_rlvect_1(U_8120)
| ~ v3_rlvect_1(U_8120)
| v3_struct_0(U_8120)
| ~ l3_vectsp_1(U_8121)
| ~ v8_vectsp_1(U_8121)
| ~ v7_vectsp_1(U_8121)
| ~ v6_vectsp_1(U_8121)
| ~ v4_group_1(U_8121)
| ~ v6_rlvect_1(U_8121)
| ~ v5_rlvect_1(U_8121)
| ~ v4_rlvect_1(U_8121)
| ~ v3_rlvect_1(U_8121)
| v3_struct_0(U_8121) ),
inference(definitional_conversion,[status(esa)],[f_3239_2]) ).
cnf(f_3239_4,plain,
( m1_subset_1(U_8118,k1_zfmisc_1(u1_struct_0(U_8120)))
| ~ m2_rmod_2(U_8118,U_8121,U_8120,U_8119)
| ~ m1_rmod_2(U_8119,U_8121,U_8120)
| ~ l1_vectsp_2(U_8120,U_8121)
| ~ v5_vectsp_2(U_8120,U_8121)
| ~ v6_rlvect_1(U_8120)
| ~ v5_rlvect_1(U_8120)
| ~ v4_rlvect_1(U_8120)
| ~ v3_rlvect_1(U_8120)
| v3_struct_0(U_8120)
| ~ l3_vectsp_1(U_8121)
| ~ v8_vectsp_1(U_8121)
| ~ v7_vectsp_1(U_8121)
| ~ v6_vectsp_1(U_8121)
| ~ v4_group_1(U_8121)
| ~ v6_rlvect_1(U_8121)
| ~ v5_rlvect_1(U_8121)
| ~ v4_rlvect_1(U_8121)
| ~ v3_rlvect_1(U_8121)
| v3_struct_0(U_8121) ),
inference(clausify,[status(thm)],[f_3239_3]) ).
fof(f_3240_1,plain,
! [A,B,C] :
( ? [D] : m2_rmod_2(D,A,B,C)
| ~ m1_rmod_2(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_rmod_2]) ).
fof(f_3240_2,plain,
! [U_8125,U_8124,U_8123] :
( ? [U_8122] : m2_rmod_2(U_8122,U_8125,U_8124,U_8123)
| ~ m1_rmod_2(U_8123,U_8125,U_8124)
| ~ l1_vectsp_2(U_8124,U_8125)
| ~ v5_vectsp_2(U_8124,U_8125)
| ~ v6_rlvect_1(U_8124)
| ~ v5_rlvect_1(U_8124)
| ~ v4_rlvect_1(U_8124)
| ~ v3_rlvect_1(U_8124)
| v3_struct_0(U_8124)
| ~ l3_vectsp_1(U_8125)
| ~ v8_vectsp_1(U_8125)
| ~ v7_vectsp_1(U_8125)
| ~ v6_vectsp_1(U_8125)
| ~ v4_group_1(U_8125)
| ~ v6_rlvect_1(U_8125)
| ~ v5_rlvect_1(U_8125)
| ~ v4_rlvect_1(U_8125)
| ~ v3_rlvect_1(U_8125)
| v3_struct_0(U_8125) ),
inference(variable_rename,[status(thm)],[f_3240_1]) ).
fof(f_3240_3,plain,
! [U_8125,U_8124,U_8123] :
( m2_rmod_2(sK957(U_8125,U_8124,U_8123),U_8125,U_8124,U_8123)
| ~ m1_rmod_2(U_8123,U_8125,U_8124)
| ~ l1_vectsp_2(U_8124,U_8125)
| ~ v5_vectsp_2(U_8124,U_8125)
| ~ v6_rlvect_1(U_8124)
| ~ v5_rlvect_1(U_8124)
| ~ v4_rlvect_1(U_8124)
| ~ v3_rlvect_1(U_8124)
| v3_struct_0(U_8124)
| ~ l3_vectsp_1(U_8125)
| ~ v8_vectsp_1(U_8125)
| ~ v7_vectsp_1(U_8125)
| ~ v6_vectsp_1(U_8125)
| ~ v4_group_1(U_8125)
| ~ v6_rlvect_1(U_8125)
| ~ v5_rlvect_1(U_8125)
| ~ v4_rlvect_1(U_8125)
| ~ v3_rlvect_1(U_8125)
| v3_struct_0(U_8125) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK957]),skolemize(U_8122,sK957(U_8125,U_8124,U_8123))],[f_3240_2]) ).
fof(f_3240_4,plain,
! [U_8123,U_8124,U_8125] :
( m2_rmod_2(sK957(U_8125,U_8124,U_8123),U_8125,U_8124,U_8123)
| ~ m1_rmod_2(U_8123,U_8125,U_8124)
| ~ l1_vectsp_2(U_8124,U_8125)
| ~ v5_vectsp_2(U_8124,U_8125)
| ~ v6_rlvect_1(U_8124)
| ~ v5_rlvect_1(U_8124)
| ~ v4_rlvect_1(U_8124)
| ~ v3_rlvect_1(U_8124)
| v3_struct_0(U_8124)
| ~ l3_vectsp_1(U_8125)
| ~ v8_vectsp_1(U_8125)
| ~ v7_vectsp_1(U_8125)
| ~ v6_vectsp_1(U_8125)
| ~ v4_group_1(U_8125)
| ~ v6_rlvect_1(U_8125)
| ~ v5_rlvect_1(U_8125)
| ~ v4_rlvect_1(U_8125)
| ~ v3_rlvect_1(U_8125)
| v3_struct_0(U_8125) ),
inference(definitional_conversion,[status(esa)],[f_3240_3]) ).
cnf(f_3240_5,plain,
( m2_rmod_2(sK957(U_8125,U_8124,U_8123),U_8125,U_8124,U_8123)
| ~ m1_rmod_2(U_8123,U_8125,U_8124)
| ~ l1_vectsp_2(U_8124,U_8125)
| ~ v5_vectsp_2(U_8124,U_8125)
| ~ v6_rlvect_1(U_8124)
| ~ v5_rlvect_1(U_8124)
| ~ v4_rlvect_1(U_8124)
| ~ v3_rlvect_1(U_8124)
| v3_struct_0(U_8124)
| ~ l3_vectsp_1(U_8125)
| ~ v8_vectsp_1(U_8125)
| ~ v7_vectsp_1(U_8125)
| ~ v6_vectsp_1(U_8125)
| ~ v4_group_1(U_8125)
| ~ v6_rlvect_1(U_8125)
| ~ v5_rlvect_1(U_8125)
| ~ v4_rlvect_1(U_8125)
| ~ v3_rlvect_1(U_8125)
| v3_struct_0(U_8125) ),
inference(clausify,[status(thm)],[f_3240_4]) ).
fof(f_3241_1,plain,
! [A,B] :
( ( m1_rmod_2(k1_rmod_2(A,B),A,B)
& v3_vectsp_2(k1_rmod_2(A,B),A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rmod_2]) ).
fof(f_3241_2,plain,
! [U_8127,U_8126] :
( ( m1_rmod_2(k1_rmod_2(U_8127,U_8126),U_8127,U_8126)
& v3_vectsp_2(k1_rmod_2(U_8127,U_8126),U_8127) )
| ~ l1_vectsp_2(U_8126,U_8127)
| ~ v5_vectsp_2(U_8126,U_8127)
| ~ v6_rlvect_1(U_8126)
| ~ v5_rlvect_1(U_8126)
| ~ v4_rlvect_1(U_8126)
| ~ v3_rlvect_1(U_8126)
| v3_struct_0(U_8126)
| ~ l3_vectsp_1(U_8127)
| ~ v8_vectsp_1(U_8127)
| ~ v7_vectsp_1(U_8127)
| ~ v6_vectsp_1(U_8127)
| ~ v4_group_1(U_8127)
| ~ v6_rlvect_1(U_8127)
| ~ v5_rlvect_1(U_8127)
| ~ v4_rlvect_1(U_8127)
| ~ v3_rlvect_1(U_8127)
| v3_struct_0(U_8127) ),
inference(variable_rename,[status(thm)],[f_3241_1]) ).
fof(f_3241_3,plain,
( ! [U_8127,U_8126] :
( m1_rmod_2(k1_rmod_2(U_8127,U_8126),U_8127,U_8126)
| ~ sP1444(U_8127,U_8126) )
& ! [U_8127,U_8126] :
( v3_vectsp_2(k1_rmod_2(U_8127,U_8126),U_8127)
| ~ sP1444(U_8127,U_8126) )
& ! [U_8127,U_8126] :
( sP1444(U_8127,U_8126)
| ~ l1_vectsp_2(U_8126,U_8127)
| ~ v5_vectsp_2(U_8126,U_8127)
| ~ v6_rlvect_1(U_8126)
| ~ v5_rlvect_1(U_8126)
| ~ v4_rlvect_1(U_8126)
| ~ v3_rlvect_1(U_8126)
| v3_struct_0(U_8126)
| ~ l3_vectsp_1(U_8127)
| ~ v8_vectsp_1(U_8127)
| ~ v7_vectsp_1(U_8127)
| ~ v6_vectsp_1(U_8127)
| ~ v4_group_1(U_8127)
| ~ v6_rlvect_1(U_8127)
| ~ v5_rlvect_1(U_8127)
| ~ v4_rlvect_1(U_8127)
| ~ v3_rlvect_1(U_8127)
| v3_struct_0(U_8127) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1444])],[f_3241_2]) ).
cnf(f_3241_4,plain,
( sP1444(U_8127,U_8126)
| ~ l1_vectsp_2(U_8126,U_8127)
| ~ v5_vectsp_2(U_8126,U_8127)
| ~ v6_rlvect_1(U_8126)
| ~ v5_rlvect_1(U_8126)
| ~ v4_rlvect_1(U_8126)
| ~ v3_rlvect_1(U_8126)
| v3_struct_0(U_8126)
| ~ l3_vectsp_1(U_8127)
| ~ v8_vectsp_1(U_8127)
| ~ v7_vectsp_1(U_8127)
| ~ v6_vectsp_1(U_8127)
| ~ v4_group_1(U_8127)
| ~ v6_rlvect_1(U_8127)
| ~ v5_rlvect_1(U_8127)
| ~ v4_rlvect_1(U_8127)
| ~ v3_rlvect_1(U_8127)
| v3_struct_0(U_8127) ),
inference(clausify,[status(thm)],[f_3241_3]) ).
cnf(f_3241_5,plain,
( v3_vectsp_2(k1_rmod_2(U_8127,U_8126),U_8127)
| ~ sP1444(U_8127,U_8126) ),
inference(clausify,[status(thm)],[f_3241_3]) ).
cnf(f_3241_6,plain,
( m1_rmod_2(k1_rmod_2(U_8127,U_8126),U_8127,U_8126)
| ~ sP1444(U_8127,U_8126) ),
inference(clausify,[status(thm)],[f_3241_3]) ).
fof(f_3242_1,plain,
! [A,B] :
( ( m1_rmod_2(k2_rmod_2(A,B),A,B)
& v3_vectsp_2(k2_rmod_2(A,B),A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_rmod_2]) ).
fof(f_3242_2,plain,
! [U_8129,U_8128] :
( ( m1_rmod_2(k2_rmod_2(U_8129,U_8128),U_8129,U_8128)
& v3_vectsp_2(k2_rmod_2(U_8129,U_8128),U_8129) )
| ~ l1_vectsp_2(U_8128,U_8129)
| ~ v5_vectsp_2(U_8128,U_8129)
| ~ v6_rlvect_1(U_8128)
| ~ v5_rlvect_1(U_8128)
| ~ v4_rlvect_1(U_8128)
| ~ v3_rlvect_1(U_8128)
| v3_struct_0(U_8128)
| ~ l3_vectsp_1(U_8129)
| ~ v8_vectsp_1(U_8129)
| ~ v7_vectsp_1(U_8129)
| ~ v6_vectsp_1(U_8129)
| ~ v4_group_1(U_8129)
| ~ v6_rlvect_1(U_8129)
| ~ v5_rlvect_1(U_8129)
| ~ v4_rlvect_1(U_8129)
| ~ v3_rlvect_1(U_8129)
| v3_struct_0(U_8129) ),
inference(variable_rename,[status(thm)],[f_3242_1]) ).
fof(f_3242_3,plain,
( ! [U_8128,U_8129] :
( m1_rmod_2(k2_rmod_2(U_8129,U_8128),U_8129,U_8128)
| ~ sP1445(U_8128,U_8129) )
& ! [U_8128,U_8129] :
( v3_vectsp_2(k2_rmod_2(U_8129,U_8128),U_8129)
| ~ sP1445(U_8128,U_8129) )
& ! [U_8128,U_8129] :
( sP1445(U_8128,U_8129)
| ~ l1_vectsp_2(U_8128,U_8129)
| ~ v5_vectsp_2(U_8128,U_8129)
| ~ v6_rlvect_1(U_8128)
| ~ v5_rlvect_1(U_8128)
| ~ v4_rlvect_1(U_8128)
| ~ v3_rlvect_1(U_8128)
| v3_struct_0(U_8128)
| ~ l3_vectsp_1(U_8129)
| ~ v8_vectsp_1(U_8129)
| ~ v7_vectsp_1(U_8129)
| ~ v6_vectsp_1(U_8129)
| ~ v4_group_1(U_8129)
| ~ v6_rlvect_1(U_8129)
| ~ v5_rlvect_1(U_8129)
| ~ v4_rlvect_1(U_8129)
| ~ v3_rlvect_1(U_8129)
| v3_struct_0(U_8129) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1445])],[f_3242_2]) ).
cnf(f_3242_4,plain,
( sP1445(U_8128,U_8129)
| ~ l1_vectsp_2(U_8128,U_8129)
| ~ v5_vectsp_2(U_8128,U_8129)
| ~ v6_rlvect_1(U_8128)
| ~ v5_rlvect_1(U_8128)
| ~ v4_rlvect_1(U_8128)
| ~ v3_rlvect_1(U_8128)
| v3_struct_0(U_8128)
| ~ l3_vectsp_1(U_8129)
| ~ v8_vectsp_1(U_8129)
| ~ v7_vectsp_1(U_8129)
| ~ v6_vectsp_1(U_8129)
| ~ v4_group_1(U_8129)
| ~ v6_rlvect_1(U_8129)
| ~ v5_rlvect_1(U_8129)
| ~ v4_rlvect_1(U_8129)
| ~ v3_rlvect_1(U_8129)
| v3_struct_0(U_8129) ),
inference(clausify,[status(thm)],[f_3242_3]) ).
cnf(f_3242_5,plain,
( v3_vectsp_2(k2_rmod_2(U_8129,U_8128),U_8129)
| ~ sP1445(U_8128,U_8129) ),
inference(clausify,[status(thm)],[f_3242_3]) ).
cnf(f_3242_6,plain,
( m1_rmod_2(k2_rmod_2(U_8129,U_8128),U_8129,U_8128)
| ~ sP1445(U_8128,U_8129) ),
inference(clausify,[status(thm)],[f_3242_3]) ).
fof(f_3243_1,plain,
! [A,B,C,D] :
( m1_subset_1(k3_rmod_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(B)))
| ~ m1_rmod_2(D,A,B)
| ~ m1_subset_1(C,u1_struct_0(B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_rmod_2]) ).
fof(f_3243_2,plain,
! [U_8133,U_8132,U_8131,U_8130] :
( m1_subset_1(k3_rmod_2(U_8133,U_8132,U_8131,U_8130),k1_zfmisc_1(u1_struct_0(U_8132)))
| ~ m1_rmod_2(U_8130,U_8133,U_8132)
| ~ m1_subset_1(U_8131,u1_struct_0(U_8132))
| ~ l1_vectsp_2(U_8132,U_8133)
| ~ v5_vectsp_2(U_8132,U_8133)
| ~ v6_rlvect_1(U_8132)
| ~ v5_rlvect_1(U_8132)
| ~ v4_rlvect_1(U_8132)
| ~ v3_rlvect_1(U_8132)
| v3_struct_0(U_8132)
| ~ l3_vectsp_1(U_8133)
| ~ v8_vectsp_1(U_8133)
| ~ v7_vectsp_1(U_8133)
| ~ v6_vectsp_1(U_8133)
| ~ v4_group_1(U_8133)
| ~ v6_rlvect_1(U_8133)
| ~ v5_rlvect_1(U_8133)
| ~ v4_rlvect_1(U_8133)
| ~ v3_rlvect_1(U_8133)
| v3_struct_0(U_8133) ),
inference(variable_rename,[status(thm)],[f_3243_1]) ).
fof(f_3243_3,plain,
! [U_8132,U_8131,U_8133,U_8130] :
( m1_subset_1(k3_rmod_2(U_8133,U_8132,U_8131,U_8130),k1_zfmisc_1(u1_struct_0(U_8132)))
| ~ m1_rmod_2(U_8130,U_8133,U_8132)
| ~ m1_subset_1(U_8131,u1_struct_0(U_8132))
| ~ l1_vectsp_2(U_8132,U_8133)
| ~ v5_vectsp_2(U_8132,U_8133)
| ~ v6_rlvect_1(U_8132)
| ~ v5_rlvect_1(U_8132)
| ~ v4_rlvect_1(U_8132)
| ~ v3_rlvect_1(U_8132)
| v3_struct_0(U_8132)
| ~ l3_vectsp_1(U_8133)
| ~ v8_vectsp_1(U_8133)
| ~ v7_vectsp_1(U_8133)
| ~ v6_vectsp_1(U_8133)
| ~ v4_group_1(U_8133)
| ~ v6_rlvect_1(U_8133)
| ~ v5_rlvect_1(U_8133)
| ~ v4_rlvect_1(U_8133)
| ~ v3_rlvect_1(U_8133)
| v3_struct_0(U_8133) ),
inference(definitional_conversion,[status(esa)],[f_3243_2]) ).
cnf(f_3243_4,plain,
( m1_subset_1(k3_rmod_2(U_8133,U_8132,U_8131,U_8130),k1_zfmisc_1(u1_struct_0(U_8132)))
| ~ m1_rmod_2(U_8130,U_8133,U_8132)
| ~ m1_subset_1(U_8131,u1_struct_0(U_8132))
| ~ l1_vectsp_2(U_8132,U_8133)
| ~ v5_vectsp_2(U_8132,U_8133)
| ~ v6_rlvect_1(U_8132)
| ~ v5_rlvect_1(U_8132)
| ~ v4_rlvect_1(U_8132)
| ~ v3_rlvect_1(U_8132)
| v3_struct_0(U_8132)
| ~ l3_vectsp_1(U_8133)
| ~ v8_vectsp_1(U_8133)
| ~ v7_vectsp_1(U_8133)
| ~ v6_vectsp_1(U_8133)
| ~ v4_group_1(U_8133)
| ~ v6_rlvect_1(U_8133)
| ~ v5_rlvect_1(U_8133)
| ~ v4_rlvect_1(U_8133)
| ~ v3_rlvect_1(U_8133)
| v3_struct_0(U_8133) ),
inference(clausify,[status(thm)],[f_3243_3]) ).
fof(f_3244_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( v1_rmod_2(E,A,B)
| E != a_4_0_rmod_2(A,B,C,D)
| ~ v1_rmod_2(D,A,B)
| ~ v1_rmod_2(C,A,B)
| ~ m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t9_rmod_2]) ).
fof(f_3244_2,plain,
! [U_8138] :
( ! [U_8137] :
( ! [U_8136] :
( ! [U_8135] :
( ! [U_8134] :
( v1_rmod_2(U_8134,U_8138,U_8137)
| U_8134 != a_4_0_rmod_2(U_8138,U_8137,U_8136,U_8135)
| ~ v1_rmod_2(U_8135,U_8138,U_8137)
| ~ v1_rmod_2(U_8136,U_8138,U_8137)
| ~ m1_subset_1(U_8134,k1_zfmisc_1(u1_struct_0(U_8137))) )
| ~ m1_subset_1(U_8135,k1_zfmisc_1(u1_struct_0(U_8137))) )
| ~ m1_subset_1(U_8136,k1_zfmisc_1(u1_struct_0(U_8137))) )
| ~ l1_vectsp_2(U_8137,U_8138)
| ~ v5_vectsp_2(U_8137,U_8138)
| ~ v6_rlvect_1(U_8137)
| ~ v5_rlvect_1(U_8137)
| ~ v4_rlvect_1(U_8137)
| ~ v3_rlvect_1(U_8137)
| v3_struct_0(U_8137) )
| ~ l3_vectsp_1(U_8138)
| ~ v8_vectsp_1(U_8138)
| ~ v7_vectsp_1(U_8138)
| ~ v6_vectsp_1(U_8138)
| ~ v4_group_1(U_8138)
| ~ v6_rlvect_1(U_8138)
| ~ v5_rlvect_1(U_8138)
| ~ v4_rlvect_1(U_8138)
| ~ v3_rlvect_1(U_8138)
| v3_struct_0(U_8138) ),
inference(variable_rename,[status(thm)],[f_3244_1]) ).
fof(f_3244_3,plain,
! [U_8135,U_8138,U_8136,U_8137,U_8134] :
( v1_rmod_2(U_8134,U_8138,U_8137)
| U_8134 != a_4_0_rmod_2(U_8138,U_8137,U_8136,U_8135)
| ~ v1_rmod_2(U_8135,U_8138,U_8137)
| ~ v1_rmod_2(U_8136,U_8138,U_8137)
| ~ m1_subset_1(U_8134,k1_zfmisc_1(u1_struct_0(U_8137)))
| ~ m1_subset_1(U_8135,k1_zfmisc_1(u1_struct_0(U_8137)))
| ~ m1_subset_1(U_8136,k1_zfmisc_1(u1_struct_0(U_8137)))
| ~ l1_vectsp_2(U_8137,U_8138)
| ~ v5_vectsp_2(U_8137,U_8138)
| ~ v6_rlvect_1(U_8137)
| ~ v5_rlvect_1(U_8137)
| ~ v4_rlvect_1(U_8137)
| ~ v3_rlvect_1(U_8137)
| v3_struct_0(U_8137)
| ~ l3_vectsp_1(U_8138)
| ~ v8_vectsp_1(U_8138)
| ~ v7_vectsp_1(U_8138)
| ~ v6_vectsp_1(U_8138)
| ~ v4_group_1(U_8138)
| ~ v6_rlvect_1(U_8138)
| ~ v5_rlvect_1(U_8138)
| ~ v4_rlvect_1(U_8138)
| ~ v3_rlvect_1(U_8138)
| v3_struct_0(U_8138) ),
inference(definitional_conversion,[status(esa)],[f_3244_2]) ).
cnf(f_3244_4,plain,
( v1_rmod_2(U_8134,U_8138,U_8137)
| U_8134 != a_4_0_rmod_2(U_8138,U_8137,U_8136,U_8135)
| ~ v1_rmod_2(U_8135,U_8138,U_8137)
| ~ v1_rmod_2(U_8136,U_8138,U_8137)
| ~ m1_subset_1(U_8134,k1_zfmisc_1(u1_struct_0(U_8137)))
| ~ m1_subset_1(U_8135,k1_zfmisc_1(u1_struct_0(U_8137)))
| ~ m1_subset_1(U_8136,k1_zfmisc_1(u1_struct_0(U_8137)))
| ~ l1_vectsp_2(U_8137,U_8138)
| ~ v5_vectsp_2(U_8137,U_8138)
| ~ v6_rlvect_1(U_8137)
| ~ v5_rlvect_1(U_8137)
| ~ v4_rlvect_1(U_8137)
| ~ v3_rlvect_1(U_8137)
| v3_struct_0(U_8137)
| ~ l3_vectsp_1(U_8138)
| ~ v8_vectsp_1(U_8138)
| ~ v7_vectsp_1(U_8138)
| ~ v6_vectsp_1(U_8138)
| ~ v4_group_1(U_8138)
| ~ v6_rlvect_1(U_8138)
| ~ v5_rlvect_1(U_8138)
| ~ v4_rlvect_1(U_8138)
| ~ v3_rlvect_1(U_8138)
| v3_struct_0(U_8138) ),
inference(clausify,[status(thm)],[f_3244_3]) ).
fof(f_3245_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k3_rmod_2(A,B,C,D) = a_4_1_rmod_2(A,B,C,D)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_rmod_2]) ).
fof(f_3245_2,plain,
! [U_8142] :
( ! [U_8141] :
( ! [U_8140] :
( ! [U_8139] :
( k3_rmod_2(U_8142,U_8141,U_8140,U_8139) = a_4_1_rmod_2(U_8142,U_8141,U_8140,U_8139)
| ~ m1_rmod_2(U_8139,U_8142,U_8141) )
| ~ m1_subset_1(U_8140,u1_struct_0(U_8141)) )
| ~ l1_vectsp_2(U_8141,U_8142)
| ~ v5_vectsp_2(U_8141,U_8142)
| ~ v6_rlvect_1(U_8141)
| ~ v5_rlvect_1(U_8141)
| ~ v4_rlvect_1(U_8141)
| ~ v3_rlvect_1(U_8141)
| v3_struct_0(U_8141) )
| ~ l3_vectsp_1(U_8142)
| ~ v8_vectsp_1(U_8142)
| ~ v7_vectsp_1(U_8142)
| ~ v6_vectsp_1(U_8142)
| ~ v4_group_1(U_8142)
| ~ v6_rlvect_1(U_8142)
| ~ v5_rlvect_1(U_8142)
| ~ v4_rlvect_1(U_8142)
| ~ v3_rlvect_1(U_8142)
| v3_struct_0(U_8142) ),
inference(variable_rename,[status(thm)],[f_3245_1]) ).
fof(f_3245_3,plain,
! [U_8142,U_8140,U_8139,U_8141] :
( k3_rmod_2(U_8142,U_8141,U_8140,U_8139) = a_4_1_rmod_2(U_8142,U_8141,U_8140,U_8139)
| ~ m1_rmod_2(U_8139,U_8142,U_8141)
| ~ m1_subset_1(U_8140,u1_struct_0(U_8141))
| ~ l1_vectsp_2(U_8141,U_8142)
| ~ v5_vectsp_2(U_8141,U_8142)
| ~ v6_rlvect_1(U_8141)
| ~ v5_rlvect_1(U_8141)
| ~ v4_rlvect_1(U_8141)
| ~ v3_rlvect_1(U_8141)
| v3_struct_0(U_8141)
| ~ l3_vectsp_1(U_8142)
| ~ v8_vectsp_1(U_8142)
| ~ v7_vectsp_1(U_8142)
| ~ v6_vectsp_1(U_8142)
| ~ v4_group_1(U_8142)
| ~ v6_rlvect_1(U_8142)
| ~ v5_rlvect_1(U_8142)
| ~ v4_rlvect_1(U_8142)
| ~ v3_rlvect_1(U_8142)
| v3_struct_0(U_8142) ),
inference(definitional_conversion,[status(esa)],[f_3245_2]) ).
cnf(f_3245_4,plain,
( k3_rmod_2(U_8142,U_8141,U_8140,U_8139) = a_4_1_rmod_2(U_8142,U_8141,U_8140,U_8139)
| ~ m1_rmod_2(U_8139,U_8142,U_8141)
| ~ m1_subset_1(U_8140,u1_struct_0(U_8141))
| ~ l1_vectsp_2(U_8141,U_8142)
| ~ v5_vectsp_2(U_8141,U_8142)
| ~ v6_rlvect_1(U_8141)
| ~ v5_rlvect_1(U_8141)
| ~ v4_rlvect_1(U_8141)
| ~ v3_rlvect_1(U_8141)
| v3_struct_0(U_8141)
| ~ l3_vectsp_1(U_8142)
| ~ v8_vectsp_1(U_8142)
| ~ v7_vectsp_1(U_8142)
| ~ v6_vectsp_1(U_8142)
| ~ v4_group_1(U_8142)
| ~ v6_rlvect_1(U_8142)
| ~ v5_rlvect_1(U_8142)
| ~ v4_rlvect_1(U_8142)
| ~ v3_rlvect_1(U_8142)
| v3_struct_0(U_8142) ),
inference(clausify,[status(thm)],[f_3245_3]) ).
fof(f_3246_1,plain,
! [A,B,C,D,E] :
( ( ( r2_hidden(A,a_4_0_rmod_2(B,C,D,E))
| ! [F,G] :
( ~ r2_hidden(G,E)
| ~ r2_hidden(F,D)
| A != k4_rlvect_1(C,F,G)
| ~ m1_subset_1(G,u1_struct_0(C))
| ~ m1_subset_1(F,u1_struct_0(C)) ) )
& ( ? [F,G] :
( r2_hidden(G,E)
& r2_hidden(F,D)
& A = k4_rlvect_1(C,F,G)
& m1_subset_1(G,u1_struct_0(C))
& m1_subset_1(F,u1_struct_0(C)) )
| ~ r2_hidden(A,a_4_0_rmod_2(B,C,D,E)) ) )
| ~ m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C)))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C)))
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C)
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_4_0_rmod_2]) ).
fof(f_3246_2,plain,
! [U_8151,U_8150,U_8149,U_8148,U_8147] :
( ( ( r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ! [U_8146,U_8145] :
( ~ r2_hidden(U_8145,U_8147)
| ~ r2_hidden(U_8146,U_8148)
| U_8151 != k4_rlvect_1(U_8149,U_8146,U_8145)
| ~ m1_subset_1(U_8145,u1_struct_0(U_8149))
| ~ m1_subset_1(U_8146,u1_struct_0(U_8149)) ) )
& ( ? [U_8144,U_8143] :
( r2_hidden(U_8143,U_8147)
& r2_hidden(U_8144,U_8148)
& U_8151 = k4_rlvect_1(U_8149,U_8144,U_8143)
& m1_subset_1(U_8143,u1_struct_0(U_8149))
& m1_subset_1(U_8144,u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147)) ) )
| ~ m1_subset_1(U_8147,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ m1_subset_1(U_8148,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ l1_vectsp_2(U_8149,U_8150)
| ~ v5_vectsp_2(U_8149,U_8150)
| ~ v6_rlvect_1(U_8149)
| ~ v5_rlvect_1(U_8149)
| ~ v4_rlvect_1(U_8149)
| ~ v3_rlvect_1(U_8149)
| v3_struct_0(U_8149)
| ~ l3_vectsp_1(U_8150)
| ~ v8_vectsp_1(U_8150)
| ~ v7_vectsp_1(U_8150)
| ~ v6_vectsp_1(U_8150)
| ~ v4_group_1(U_8150)
| ~ v6_rlvect_1(U_8150)
| ~ v5_rlvect_1(U_8150)
| ~ v4_rlvect_1(U_8150)
| ~ v3_rlvect_1(U_8150)
| v3_struct_0(U_8150) ),
inference(variable_rename,[status(thm)],[f_3246_1]) ).
fof(f_3246_3,plain,
! [U_8151,U_8150,U_8149,U_8148,U_8147] :
( ( ( r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ! [U_8146] :
( ! [U_8145] :
( ~ r2_hidden(U_8145,U_8147)
| U_8151 != k4_rlvect_1(U_8149,U_8146,U_8145)
| ~ m1_subset_1(U_8145,u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8146,U_8148)
| ~ m1_subset_1(U_8146,u1_struct_0(U_8149)) ) )
& ( ? [U_8144] :
( ? [U_8143] :
( r2_hidden(U_8143,U_8147)
& U_8151 = k4_rlvect_1(U_8149,U_8144,U_8143)
& m1_subset_1(U_8143,u1_struct_0(U_8149)) )
& r2_hidden(U_8144,U_8148)
& m1_subset_1(U_8144,u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147)) ) )
| ~ m1_subset_1(U_8147,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ m1_subset_1(U_8148,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ l1_vectsp_2(U_8149,U_8150)
| ~ v5_vectsp_2(U_8149,U_8150)
| ~ v6_rlvect_1(U_8149)
| ~ v5_rlvect_1(U_8149)
| ~ v4_rlvect_1(U_8149)
| ~ v3_rlvect_1(U_8149)
| v3_struct_0(U_8149)
| ~ l3_vectsp_1(U_8150)
| ~ v8_vectsp_1(U_8150)
| ~ v7_vectsp_1(U_8150)
| ~ v6_vectsp_1(U_8150)
| ~ v4_group_1(U_8150)
| ~ v6_rlvect_1(U_8150)
| ~ v5_rlvect_1(U_8150)
| ~ v4_rlvect_1(U_8150)
| ~ v3_rlvect_1(U_8150)
| v3_struct_0(U_8150) ),
inference(miniscope,[status(thm)],[f_3246_2]) ).
fof(f_3246_4,plain,
! [U_8151,U_8150,U_8149,U_8148,U_8147] :
( ( ( r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ! [U_8146] :
( ! [U_8145] :
( ~ r2_hidden(U_8145,U_8147)
| U_8151 != k4_rlvect_1(U_8149,U_8146,U_8145)
| ~ m1_subset_1(U_8145,u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8146,U_8148)
| ~ m1_subset_1(U_8146,u1_struct_0(U_8149)) ) )
& ( ( ? [U_8143] :
( r2_hidden(U_8143,U_8147)
& U_8151 = k4_rlvect_1(U_8149,sK958(U_8151,U_8150,U_8149,U_8148,U_8147),U_8143)
& m1_subset_1(U_8143,u1_struct_0(U_8149)) )
& r2_hidden(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),U_8148)
& m1_subset_1(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147)) ) )
| ~ m1_subset_1(U_8147,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ m1_subset_1(U_8148,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ l1_vectsp_2(U_8149,U_8150)
| ~ v5_vectsp_2(U_8149,U_8150)
| ~ v6_rlvect_1(U_8149)
| ~ v5_rlvect_1(U_8149)
| ~ v4_rlvect_1(U_8149)
| ~ v3_rlvect_1(U_8149)
| v3_struct_0(U_8149)
| ~ l3_vectsp_1(U_8150)
| ~ v8_vectsp_1(U_8150)
| ~ v7_vectsp_1(U_8150)
| ~ v6_vectsp_1(U_8150)
| ~ v4_group_1(U_8150)
| ~ v6_rlvect_1(U_8150)
| ~ v5_rlvect_1(U_8150)
| ~ v4_rlvect_1(U_8150)
| ~ v3_rlvect_1(U_8150)
| v3_struct_0(U_8150) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK958]),skolemize(U_8144,sK958(U_8151,U_8150,U_8149,U_8148,U_8147))],[f_3246_3]) ).
fof(f_3246_5,plain,
! [U_8151,U_8150,U_8149,U_8148,U_8147] :
( ( ( r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ! [U_8146] :
( ! [U_8145] :
( ~ r2_hidden(U_8145,U_8147)
| U_8151 != k4_rlvect_1(U_8149,U_8146,U_8145)
| ~ m1_subset_1(U_8145,u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8146,U_8148)
| ~ m1_subset_1(U_8146,u1_struct_0(U_8149)) ) )
& ( ( r2_hidden(sK959(U_8151,U_8150,U_8149,U_8148,U_8147),U_8147)
& U_8151 = k4_rlvect_1(U_8149,sK958(U_8151,U_8150,U_8149,U_8148,U_8147),sK959(U_8151,U_8150,U_8149,U_8148,U_8147))
& m1_subset_1(sK959(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149))
& r2_hidden(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),U_8148)
& m1_subset_1(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149)) )
| ~ r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147)) ) )
| ~ m1_subset_1(U_8147,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ m1_subset_1(U_8148,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ l1_vectsp_2(U_8149,U_8150)
| ~ v5_vectsp_2(U_8149,U_8150)
| ~ v6_rlvect_1(U_8149)
| ~ v5_rlvect_1(U_8149)
| ~ v4_rlvect_1(U_8149)
| ~ v3_rlvect_1(U_8149)
| v3_struct_0(U_8149)
| ~ l3_vectsp_1(U_8150)
| ~ v8_vectsp_1(U_8150)
| ~ v7_vectsp_1(U_8150)
| ~ v6_vectsp_1(U_8150)
| ~ v4_group_1(U_8150)
| ~ v6_rlvect_1(U_8150)
| ~ v5_rlvect_1(U_8150)
| ~ v4_rlvect_1(U_8150)
| ~ v3_rlvect_1(U_8150)
| v3_struct_0(U_8150) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK959]),skolemize(U_8143,sK959(U_8151,U_8150,U_8149,U_8148,U_8147))],[f_3246_4]) ).
fof(f_3246_6,plain,
( ! [U_8148,U_8149,U_8151,U_8147,U_8150] :
( r2_hidden(sK959(U_8151,U_8150,U_8149,U_8148,U_8147),U_8147)
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8147,U_8150] :
( U_8151 = k4_rlvect_1(U_8149,sK958(U_8151,U_8150,U_8149,U_8148,U_8147),sK959(U_8151,U_8150,U_8149,U_8148,U_8147))
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8147,U_8150] :
( m1_subset_1(sK959(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149))
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8147,U_8150] :
( r2_hidden(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),U_8148)
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8147,U_8150] :
( m1_subset_1(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149))
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150] :
( r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ~ r2_hidden(U_8145,U_8147)
| U_8151 != k4_rlvect_1(U_8149,U_8146,U_8145)
| ~ m1_subset_1(U_8145,u1_struct_0(U_8149))
| ~ r2_hidden(U_8146,U_8148)
| ~ m1_subset_1(U_8146,u1_struct_0(U_8149))
| ~ sP1447(U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150] :
( sP1446(U_8148,U_8149,U_8151,U_8147,U_8150)
| ~ r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ~ sP1447(U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150) )
& ! [U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150] :
( sP1447(U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150)
| ~ m1_subset_1(U_8147,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ m1_subset_1(U_8148,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ l1_vectsp_2(U_8149,U_8150)
| ~ v5_vectsp_2(U_8149,U_8150)
| ~ v6_rlvect_1(U_8149)
| ~ v5_rlvect_1(U_8149)
| ~ v4_rlvect_1(U_8149)
| ~ v3_rlvect_1(U_8149)
| v3_struct_0(U_8149)
| ~ l3_vectsp_1(U_8150)
| ~ v8_vectsp_1(U_8150)
| ~ v7_vectsp_1(U_8150)
| ~ v6_vectsp_1(U_8150)
| ~ v4_group_1(U_8150)
| ~ v6_rlvect_1(U_8150)
| ~ v5_rlvect_1(U_8150)
| ~ v4_rlvect_1(U_8150)
| ~ v3_rlvect_1(U_8150)
| v3_struct_0(U_8150) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1446,sP1447])],[f_3246_5]) ).
cnf(f_3246_7,plain,
( sP1447(U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150)
| ~ m1_subset_1(U_8147,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ m1_subset_1(U_8148,k1_zfmisc_1(u1_struct_0(U_8149)))
| ~ l1_vectsp_2(U_8149,U_8150)
| ~ v5_vectsp_2(U_8149,U_8150)
| ~ v6_rlvect_1(U_8149)
| ~ v5_rlvect_1(U_8149)
| ~ v4_rlvect_1(U_8149)
| ~ v3_rlvect_1(U_8149)
| v3_struct_0(U_8149)
| ~ l3_vectsp_1(U_8150)
| ~ v8_vectsp_1(U_8150)
| ~ v7_vectsp_1(U_8150)
| ~ v6_vectsp_1(U_8150)
| ~ v4_group_1(U_8150)
| ~ v6_rlvect_1(U_8150)
| ~ v5_rlvect_1(U_8150)
| ~ v4_rlvect_1(U_8150)
| ~ v3_rlvect_1(U_8150)
| v3_struct_0(U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_8,plain,
( sP1446(U_8148,U_8149,U_8151,U_8147,U_8150)
| ~ r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ~ sP1447(U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_9,plain,
( r2_hidden(U_8151,a_4_0_rmod_2(U_8150,U_8149,U_8148,U_8147))
| ~ r2_hidden(U_8145,U_8147)
| U_8151 != k4_rlvect_1(U_8149,U_8146,U_8145)
| ~ m1_subset_1(U_8145,u1_struct_0(U_8149))
| ~ r2_hidden(U_8146,U_8148)
| ~ m1_subset_1(U_8146,u1_struct_0(U_8149))
| ~ sP1447(U_8148,U_8149,U_8151,U_8145,U_8146,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_10,plain,
( m1_subset_1(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149))
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_11,plain,
( r2_hidden(sK958(U_8151,U_8150,U_8149,U_8148,U_8147),U_8148)
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_12,plain,
( m1_subset_1(sK959(U_8151,U_8150,U_8149,U_8148,U_8147),u1_struct_0(U_8149))
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_13,plain,
( U_8151 = k4_rlvect_1(U_8149,sK958(U_8151,U_8150,U_8149,U_8148,U_8147),sK959(U_8151,U_8150,U_8149,U_8148,U_8147))
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
cnf(f_3246_14,plain,
( r2_hidden(sK959(U_8151,U_8150,U_8149,U_8148,U_8147),U_8147)
| ~ sP1446(U_8148,U_8149,U_8151,U_8147,U_8150) ),
inference(clausify,[status(thm)],[f_3246_6]) ).
fof(f_3247_1,plain,
! [A,B,C,D,E] :
( ( ( r2_hidden(A,a_4_1_rmod_2(B,C,D,E))
| ! [F] :
( ~ r1_rlvect_1(E,F)
| A != k4_rlvect_1(C,D,F)
| ~ m1_subset_1(F,u1_struct_0(C)) ) )
& ( ? [F] :
( r1_rlvect_1(E,F)
& A = k4_rlvect_1(C,D,F)
& m1_subset_1(F,u1_struct_0(C)) )
| ~ r2_hidden(A,a_4_1_rmod_2(B,C,D,E)) ) )
| ~ m1_rmod_2(E,B,C)
| ~ m1_subset_1(D,u1_struct_0(C))
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C)
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_4_1_rmod_2]) ).
fof(f_3247_2,plain,
! [U_8158,U_8157,U_8156,U_8155,U_8154] :
( ( ( r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154))
| ! [U_8153] :
( ~ r1_rlvect_1(U_8154,U_8153)
| U_8158 != k4_rlvect_1(U_8156,U_8155,U_8153)
| ~ m1_subset_1(U_8153,u1_struct_0(U_8156)) ) )
& ( ? [U_8152] :
( r1_rlvect_1(U_8154,U_8152)
& U_8158 = k4_rlvect_1(U_8156,U_8155,U_8152)
& m1_subset_1(U_8152,u1_struct_0(U_8156)) )
| ~ r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154)) ) )
| ~ m1_rmod_2(U_8154,U_8157,U_8156)
| ~ m1_subset_1(U_8155,u1_struct_0(U_8156))
| ~ l1_vectsp_2(U_8156,U_8157)
| ~ v5_vectsp_2(U_8156,U_8157)
| ~ v6_rlvect_1(U_8156)
| ~ v5_rlvect_1(U_8156)
| ~ v4_rlvect_1(U_8156)
| ~ v3_rlvect_1(U_8156)
| v3_struct_0(U_8156)
| ~ l3_vectsp_1(U_8157)
| ~ v8_vectsp_1(U_8157)
| ~ v7_vectsp_1(U_8157)
| ~ v6_vectsp_1(U_8157)
| ~ v4_group_1(U_8157)
| ~ v6_rlvect_1(U_8157)
| ~ v5_rlvect_1(U_8157)
| ~ v4_rlvect_1(U_8157)
| ~ v3_rlvect_1(U_8157)
| v3_struct_0(U_8157) ),
inference(variable_rename,[status(thm)],[f_3247_1]) ).
fof(f_3247_3,plain,
! [U_8158,U_8157,U_8156,U_8155,U_8154] :
( ( ( r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154))
| ! [U_8153] :
( ~ r1_rlvect_1(U_8154,U_8153)
| U_8158 != k4_rlvect_1(U_8156,U_8155,U_8153)
| ~ m1_subset_1(U_8153,u1_struct_0(U_8156)) ) )
& ( ( r1_rlvect_1(U_8154,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))
& U_8158 = k4_rlvect_1(U_8156,U_8155,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))
& m1_subset_1(sK960(U_8158,U_8157,U_8156,U_8155,U_8154),u1_struct_0(U_8156)) )
| ~ r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154)) ) )
| ~ m1_rmod_2(U_8154,U_8157,U_8156)
| ~ m1_subset_1(U_8155,u1_struct_0(U_8156))
| ~ l1_vectsp_2(U_8156,U_8157)
| ~ v5_vectsp_2(U_8156,U_8157)
| ~ v6_rlvect_1(U_8156)
| ~ v5_rlvect_1(U_8156)
| ~ v4_rlvect_1(U_8156)
| ~ v3_rlvect_1(U_8156)
| v3_struct_0(U_8156)
| ~ l3_vectsp_1(U_8157)
| ~ v8_vectsp_1(U_8157)
| ~ v7_vectsp_1(U_8157)
| ~ v6_vectsp_1(U_8157)
| ~ v4_group_1(U_8157)
| ~ v6_rlvect_1(U_8157)
| ~ v5_rlvect_1(U_8157)
| ~ v4_rlvect_1(U_8157)
| ~ v3_rlvect_1(U_8157)
| v3_struct_0(U_8157) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK960]),skolemize(U_8152,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))],[f_3247_2]) ).
fof(f_3247_4,plain,
( ! [U_8158,U_8154,U_8156,U_8157,U_8155] :
( r1_rlvect_1(U_8154,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))
| ~ sP1448(U_8158,U_8154,U_8156,U_8157,U_8155) )
& ! [U_8158,U_8154,U_8156,U_8157,U_8155] :
( U_8158 = k4_rlvect_1(U_8156,U_8155,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))
| ~ sP1448(U_8158,U_8154,U_8156,U_8157,U_8155) )
& ! [U_8158,U_8154,U_8156,U_8157,U_8155] :
( m1_subset_1(sK960(U_8158,U_8157,U_8156,U_8155,U_8154),u1_struct_0(U_8156))
| ~ sP1448(U_8158,U_8154,U_8156,U_8157,U_8155) )
& ! [U_8153,U_8158,U_8154,U_8156,U_8157,U_8155] :
( r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154))
| ~ r1_rlvect_1(U_8154,U_8153)
| U_8158 != k4_rlvect_1(U_8156,U_8155,U_8153)
| ~ m1_subset_1(U_8153,u1_struct_0(U_8156))
| ~ sP1449(U_8153,U_8158,U_8154,U_8156,U_8157,U_8155) )
& ! [U_8153,U_8158,U_8154,U_8156,U_8157,U_8155] :
( sP1448(U_8158,U_8154,U_8156,U_8157,U_8155)
| ~ r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154))
| ~ sP1449(U_8153,U_8158,U_8154,U_8156,U_8157,U_8155) )
& ! [U_8153,U_8158,U_8154,U_8156,U_8157,U_8155] :
( sP1449(U_8153,U_8158,U_8154,U_8156,U_8157,U_8155)
| ~ m1_rmod_2(U_8154,U_8157,U_8156)
| ~ m1_subset_1(U_8155,u1_struct_0(U_8156))
| ~ l1_vectsp_2(U_8156,U_8157)
| ~ v5_vectsp_2(U_8156,U_8157)
| ~ v6_rlvect_1(U_8156)
| ~ v5_rlvect_1(U_8156)
| ~ v4_rlvect_1(U_8156)
| ~ v3_rlvect_1(U_8156)
| v3_struct_0(U_8156)
| ~ l3_vectsp_1(U_8157)
| ~ v8_vectsp_1(U_8157)
| ~ v7_vectsp_1(U_8157)
| ~ v6_vectsp_1(U_8157)
| ~ v4_group_1(U_8157)
| ~ v6_rlvect_1(U_8157)
| ~ v5_rlvect_1(U_8157)
| ~ v4_rlvect_1(U_8157)
| ~ v3_rlvect_1(U_8157)
| v3_struct_0(U_8157) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1448,sP1449])],[f_3247_3]) ).
cnf(f_3247_5,plain,
( sP1449(U_8153,U_8158,U_8154,U_8156,U_8157,U_8155)
| ~ m1_rmod_2(U_8154,U_8157,U_8156)
| ~ m1_subset_1(U_8155,u1_struct_0(U_8156))
| ~ l1_vectsp_2(U_8156,U_8157)
| ~ v5_vectsp_2(U_8156,U_8157)
| ~ v6_rlvect_1(U_8156)
| ~ v5_rlvect_1(U_8156)
| ~ v4_rlvect_1(U_8156)
| ~ v3_rlvect_1(U_8156)
| v3_struct_0(U_8156)
| ~ l3_vectsp_1(U_8157)
| ~ v8_vectsp_1(U_8157)
| ~ v7_vectsp_1(U_8157)
| ~ v6_vectsp_1(U_8157)
| ~ v4_group_1(U_8157)
| ~ v6_rlvect_1(U_8157)
| ~ v5_rlvect_1(U_8157)
| ~ v4_rlvect_1(U_8157)
| ~ v3_rlvect_1(U_8157)
| v3_struct_0(U_8157) ),
inference(clausify,[status(thm)],[f_3247_4]) ).
cnf(f_3247_6,plain,
( sP1448(U_8158,U_8154,U_8156,U_8157,U_8155)
| ~ r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154))
| ~ sP1449(U_8153,U_8158,U_8154,U_8156,U_8157,U_8155) ),
inference(clausify,[status(thm)],[f_3247_4]) ).
cnf(f_3247_7,plain,
( r2_hidden(U_8158,a_4_1_rmod_2(U_8157,U_8156,U_8155,U_8154))
| ~ r1_rlvect_1(U_8154,U_8153)
| U_8158 != k4_rlvect_1(U_8156,U_8155,U_8153)
| ~ m1_subset_1(U_8153,u1_struct_0(U_8156))
| ~ sP1449(U_8153,U_8158,U_8154,U_8156,U_8157,U_8155) ),
inference(clausify,[status(thm)],[f_3247_4]) ).
cnf(f_3247_8,plain,
( m1_subset_1(sK960(U_8158,U_8157,U_8156,U_8155,U_8154),u1_struct_0(U_8156))
| ~ sP1448(U_8158,U_8154,U_8156,U_8157,U_8155) ),
inference(clausify,[status(thm)],[f_3247_4]) ).
cnf(f_3247_9,plain,
( U_8158 = k4_rlvect_1(U_8156,U_8155,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))
| ~ sP1448(U_8158,U_8154,U_8156,U_8157,U_8155) ),
inference(clausify,[status(thm)],[f_3247_4]) ).
cnf(f_3247_10,plain,
( r1_rlvect_1(U_8154,sK960(U_8158,U_8157,U_8156,U_8155,U_8154))
| ~ sP1448(U_8158,U_8154,U_8156,U_8157,U_8155) ),
inference(clausify,[status(thm)],[f_3247_4]) ).
fof(f_3248_1,plain,
! [A,B] :
( ~ v1_xboole_0(k3_rmod_3(A,B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_rmod_3]) ).
fof(f_3248_2,plain,
! [U_8160,U_8159] :
( ~ v1_xboole_0(k3_rmod_3(U_8160,U_8159))
| ~ l1_vectsp_2(U_8159,U_8160)
| ~ v5_vectsp_2(U_8159,U_8160)
| ~ v6_rlvect_1(U_8159)
| ~ v5_rlvect_1(U_8159)
| ~ v4_rlvect_1(U_8159)
| ~ v3_rlvect_1(U_8159)
| v3_struct_0(U_8159)
| ~ l3_vectsp_1(U_8160)
| ~ v8_vectsp_1(U_8160)
| ~ v7_vectsp_1(U_8160)
| ~ v6_vectsp_1(U_8160)
| ~ v4_group_1(U_8160)
| ~ v6_rlvect_1(U_8160)
| ~ v5_rlvect_1(U_8160)
| ~ v4_rlvect_1(U_8160)
| ~ v3_rlvect_1(U_8160)
| v3_struct_0(U_8160) ),
inference(variable_rename,[status(thm)],[f_3248_1]) ).
fof(f_3248_3,plain,
! [U_8159,U_8160] :
( ~ v1_xboole_0(k3_rmod_3(U_8160,U_8159))
| ~ l1_vectsp_2(U_8159,U_8160)
| ~ v5_vectsp_2(U_8159,U_8160)
| ~ v6_rlvect_1(U_8159)
| ~ v5_rlvect_1(U_8159)
| ~ v4_rlvect_1(U_8159)
| ~ v3_rlvect_1(U_8159)
| v3_struct_0(U_8159)
| ~ l3_vectsp_1(U_8160)
| ~ v8_vectsp_1(U_8160)
| ~ v7_vectsp_1(U_8160)
| ~ v6_vectsp_1(U_8160)
| ~ v4_group_1(U_8160)
| ~ v6_rlvect_1(U_8160)
| ~ v5_rlvect_1(U_8160)
| ~ v4_rlvect_1(U_8160)
| ~ v3_rlvect_1(U_8160)
| v3_struct_0(U_8160) ),
inference(definitional_conversion,[status(esa)],[f_3248_2]) ).
cnf(f_3248_4,plain,
( ~ v1_xboole_0(k3_rmod_3(U_8160,U_8159))
| ~ l1_vectsp_2(U_8159,U_8160)
| ~ v5_vectsp_2(U_8159,U_8160)
| ~ v6_rlvect_1(U_8159)
| ~ v5_rlvect_1(U_8159)
| ~ v4_rlvect_1(U_8159)
| ~ v3_rlvect_1(U_8159)
| v3_struct_0(U_8159)
| ~ l3_vectsp_1(U_8160)
| ~ v8_vectsp_1(U_8160)
| ~ v7_vectsp_1(U_8160)
| ~ v6_vectsp_1(U_8160)
| ~ v4_group_1(U_8160)
| ~ v6_rlvect_1(U_8160)
| ~ v5_rlvect_1(U_8160)
| ~ v4_rlvect_1(U_8160)
| ~ v3_rlvect_1(U_8160)
| v3_struct_0(U_8160) ),
inference(clausify,[status(thm)],[f_3248_3]) ).
fof(f_3249_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( E = k2_rmod_3(A,B,C,D)
| u1_struct_0(E) != k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) )
& ( u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D))
| E != k2_rmod_3(A,B,C,D) ) )
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_rmod_3]) ).
fof(f_3249_2,plain,
! [U_8165] :
( ! [U_8164] :
( ! [U_8163] :
( ! [U_8162] :
( ! [U_8161] :
( ( ( U_8161 = k2_rmod_3(U_8165,U_8164,U_8163,U_8162)
| u1_struct_0(U_8161) != k3_xboole_0(u1_struct_0(U_8163),u1_struct_0(U_8162)) )
& ( u1_struct_0(U_8161) = k3_xboole_0(u1_struct_0(U_8163),u1_struct_0(U_8162))
| U_8161 != k2_rmod_3(U_8165,U_8164,U_8163,U_8162) ) )
| ~ m1_rmod_2(U_8161,U_8165,U_8164)
| ~ v3_vectsp_2(U_8161,U_8165) )
| ~ m1_rmod_2(U_8162,U_8165,U_8164) )
| ~ m1_rmod_2(U_8163,U_8165,U_8164) )
| ~ l1_vectsp_2(U_8164,U_8165)
| ~ v5_vectsp_2(U_8164,U_8165)
| ~ v6_rlvect_1(U_8164)
| ~ v5_rlvect_1(U_8164)
| ~ v4_rlvect_1(U_8164)
| ~ v3_rlvect_1(U_8164)
| v3_struct_0(U_8164) )
| ~ l3_vectsp_1(U_8165)
| ~ v8_vectsp_1(U_8165)
| ~ v7_vectsp_1(U_8165)
| ~ v6_vectsp_1(U_8165)
| ~ v4_group_1(U_8165)
| ~ v6_rlvect_1(U_8165)
| ~ v5_rlvect_1(U_8165)
| ~ v4_rlvect_1(U_8165)
| ~ v3_rlvect_1(U_8165)
| v3_struct_0(U_8165) ),
inference(variable_rename,[status(thm)],[f_3249_1]) ).
fof(f_3249_3,plain,
( ! [U_8162,U_8165,U_8161,U_8164,U_8163] :
( U_8161 = k2_rmod_3(U_8165,U_8164,U_8163,U_8162)
| u1_struct_0(U_8161) != k3_xboole_0(u1_struct_0(U_8163),u1_struct_0(U_8162))
| ~ sP1450(U_8162,U_8165,U_8161,U_8164,U_8163) )
& ! [U_8162,U_8165,U_8161,U_8164,U_8163] :
( u1_struct_0(U_8161) = k3_xboole_0(u1_struct_0(U_8163),u1_struct_0(U_8162))
| U_8161 != k2_rmod_3(U_8165,U_8164,U_8163,U_8162)
| ~ sP1450(U_8162,U_8165,U_8161,U_8164,U_8163) )
& ! [U_8162,U_8165,U_8161,U_8164,U_8163] :
( sP1450(U_8162,U_8165,U_8161,U_8164,U_8163)
| ~ m1_rmod_2(U_8161,U_8165,U_8164)
| ~ v3_vectsp_2(U_8161,U_8165)
| ~ m1_rmod_2(U_8162,U_8165,U_8164)
| ~ m1_rmod_2(U_8163,U_8165,U_8164)
| ~ l1_vectsp_2(U_8164,U_8165)
| ~ v5_vectsp_2(U_8164,U_8165)
| ~ v6_rlvect_1(U_8164)
| ~ v5_rlvect_1(U_8164)
| ~ v4_rlvect_1(U_8164)
| ~ v3_rlvect_1(U_8164)
| v3_struct_0(U_8164)
| ~ l3_vectsp_1(U_8165)
| ~ v8_vectsp_1(U_8165)
| ~ v7_vectsp_1(U_8165)
| ~ v6_vectsp_1(U_8165)
| ~ v4_group_1(U_8165)
| ~ v6_rlvect_1(U_8165)
| ~ v5_rlvect_1(U_8165)
| ~ v4_rlvect_1(U_8165)
| ~ v3_rlvect_1(U_8165)
| v3_struct_0(U_8165) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1450])],[f_3249_2]) ).
cnf(f_3249_4,plain,
( sP1450(U_8162,U_8165,U_8161,U_8164,U_8163)
| ~ m1_rmod_2(U_8161,U_8165,U_8164)
| ~ v3_vectsp_2(U_8161,U_8165)
| ~ m1_rmod_2(U_8162,U_8165,U_8164)
| ~ m1_rmod_2(U_8163,U_8165,U_8164)
| ~ l1_vectsp_2(U_8164,U_8165)
| ~ v5_vectsp_2(U_8164,U_8165)
| ~ v6_rlvect_1(U_8164)
| ~ v5_rlvect_1(U_8164)
| ~ v4_rlvect_1(U_8164)
| ~ v3_rlvect_1(U_8164)
| v3_struct_0(U_8164)
| ~ l3_vectsp_1(U_8165)
| ~ v8_vectsp_1(U_8165)
| ~ v7_vectsp_1(U_8165)
| ~ v6_vectsp_1(U_8165)
| ~ v4_group_1(U_8165)
| ~ v6_rlvect_1(U_8165)
| ~ v5_rlvect_1(U_8165)
| ~ v4_rlvect_1(U_8165)
| ~ v3_rlvect_1(U_8165)
| v3_struct_0(U_8165) ),
inference(clausify,[status(thm)],[f_3249_3]) ).
cnf(f_3249_5,plain,
( u1_struct_0(U_8161) = k3_xboole_0(u1_struct_0(U_8163),u1_struct_0(U_8162))
| U_8161 != k2_rmod_3(U_8165,U_8164,U_8163,U_8162)
| ~ sP1450(U_8162,U_8165,U_8161,U_8164,U_8163) ),
inference(clausify,[status(thm)],[f_3249_3]) ).
cnf(f_3249_6,plain,
( U_8161 = k2_rmod_3(U_8165,U_8164,U_8163,U_8162)
| u1_struct_0(U_8161) != k3_xboole_0(u1_struct_0(U_8163),u1_struct_0(U_8162))
| ~ sP1450(U_8162,U_8165,U_8161,U_8164,U_8163) ),
inference(clausify,[status(thm)],[f_3249_3]) ).
fof(f_3250_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_rmod_3]) ).
fof(f_3250_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3250_1]) ).
cnf(f_3250_3,plain,
$true,
inference(clausify,[status(thm)],[f_3250_2]) ).
fof(f_3251_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t2_rmod_3]) ).
fof(f_3251_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3251_1]) ).
cnf(f_3251_3,plain,
$true,
inference(clausify,[status(thm)],[f_3251_2]) ).
fof(f_3252_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t3_rmod_3]) ).
fof(f_3252_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3252_1]) ).
cnf(f_3252_3,plain,
$true,
inference(clausify,[status(thm)],[f_3252_2]) ).
fof(f_3253_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t4_rmod_3]) ).
fof(f_3253_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3253_1]) ).
cnf(f_3253_3,plain,
$true,
inference(clausify,[status(thm)],[f_3253_2]) ).
fof(f_3254_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( r1_rlvect_1(k1_rmod_3(A,B,C,D),E)
| ! [F] :
( ! [G] :
( E != k4_rlvect_1(B,F,G)
| ~ r1_rlvect_1(D,G)
| ~ r1_rlvect_1(C,F)
| ~ m1_subset_1(G,u1_struct_0(B)) )
| ~ m1_subset_1(F,u1_struct_0(B)) ) )
& ( ? [F] :
( ? [G] :
( E = k4_rlvect_1(B,F,G)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,F)
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) )
| ~ r1_rlvect_1(k1_rmod_3(A,B,C,D),E) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rmod_3]) ).
fof(f_3254_2,plain,
! [U_8174] :
( ! [U_8173] :
( ! [U_8172] :
( ! [U_8171] :
( ! [U_8170] :
( ( r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8170)
| ! [U_8169] :
( ! [U_8168] :
( U_8170 != k4_rlvect_1(U_8173,U_8169,U_8168)
| ~ r1_rlvect_1(U_8171,U_8168)
| ~ r1_rlvect_1(U_8172,U_8169)
| ~ m1_subset_1(U_8168,u1_struct_0(U_8173)) )
| ~ m1_subset_1(U_8169,u1_struct_0(U_8173)) ) )
& ( ? [U_8167] :
( ? [U_8166] :
( U_8170 = k4_rlvect_1(U_8173,U_8167,U_8166)
& r1_rlvect_1(U_8171,U_8166)
& r1_rlvect_1(U_8172,U_8167)
& m1_subset_1(U_8166,u1_struct_0(U_8173)) )
& m1_subset_1(U_8167,u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8170) ) )
| ~ m1_rmod_2(U_8171,U_8174,U_8173) )
| ~ m1_rmod_2(U_8172,U_8174,U_8173) )
| ~ l1_vectsp_2(U_8173,U_8174)
| ~ v5_vectsp_2(U_8173,U_8174)
| ~ v6_rlvect_1(U_8173)
| ~ v5_rlvect_1(U_8173)
| ~ v4_rlvect_1(U_8173)
| ~ v3_rlvect_1(U_8173)
| v3_struct_0(U_8173) )
| ~ l3_vectsp_1(U_8174)
| ~ v8_vectsp_1(U_8174)
| ~ v7_vectsp_1(U_8174)
| ~ v6_vectsp_1(U_8174)
| ~ v4_group_1(U_8174)
| ~ v6_rlvect_1(U_8174)
| ~ v5_rlvect_1(U_8174)
| ~ v4_rlvect_1(U_8174)
| ~ v3_rlvect_1(U_8174)
| v3_struct_0(U_8174) ),
inference(variable_rename,[status(thm)],[f_3254_1]) ).
fof(f_3254_3,plain,
! [U_8174] :
( ! [U_8173] :
( ! [U_8172] :
( ! [U_8171] :
( ( ! [U_8176] :
( r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8176)
| ! [U_8169] :
( ! [U_8168] :
( U_8176 != k4_rlvect_1(U_8173,U_8169,U_8168)
| ~ r1_rlvect_1(U_8171,U_8168)
| ~ m1_subset_1(U_8168,u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(U_8172,U_8169)
| ~ m1_subset_1(U_8169,u1_struct_0(U_8173)) ) )
& ! [U_8175] :
( ? [U_8167] :
( ? [U_8166] :
( U_8175 = k4_rlvect_1(U_8173,U_8167,U_8166)
& r1_rlvect_1(U_8171,U_8166)
& m1_subset_1(U_8166,u1_struct_0(U_8173)) )
& r1_rlvect_1(U_8172,U_8167)
& m1_subset_1(U_8167,u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8175) ) )
| ~ m1_rmod_2(U_8171,U_8174,U_8173) )
| ~ m1_rmod_2(U_8172,U_8174,U_8173) )
| ~ l1_vectsp_2(U_8173,U_8174)
| ~ v5_vectsp_2(U_8173,U_8174)
| ~ v6_rlvect_1(U_8173)
| ~ v5_rlvect_1(U_8173)
| ~ v4_rlvect_1(U_8173)
| ~ v3_rlvect_1(U_8173)
| v3_struct_0(U_8173) )
| ~ l3_vectsp_1(U_8174)
| ~ v8_vectsp_1(U_8174)
| ~ v7_vectsp_1(U_8174)
| ~ v6_vectsp_1(U_8174)
| ~ v4_group_1(U_8174)
| ~ v6_rlvect_1(U_8174)
| ~ v5_rlvect_1(U_8174)
| ~ v4_rlvect_1(U_8174)
| ~ v3_rlvect_1(U_8174)
| v3_struct_0(U_8174) ),
inference(miniscope,[status(thm)],[f_3254_2]) ).
fof(f_3254_4,plain,
! [U_8174] :
( ! [U_8173] :
( ! [U_8172] :
( ! [U_8171] :
( ( ! [U_8176] :
( r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8176)
| ! [U_8169] :
( ! [U_8168] :
( U_8176 != k4_rlvect_1(U_8173,U_8169,U_8168)
| ~ r1_rlvect_1(U_8171,U_8168)
| ~ m1_subset_1(U_8168,u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(U_8172,U_8169)
| ~ m1_subset_1(U_8169,u1_struct_0(U_8173)) ) )
& ! [U_8175] :
( ( ? [U_8166] :
( U_8175 = k4_rlvect_1(U_8173,sK961(U_8174,U_8173,U_8172,U_8171,U_8175),U_8166)
& r1_rlvect_1(U_8171,U_8166)
& m1_subset_1(U_8166,u1_struct_0(U_8173)) )
& r1_rlvect_1(U_8172,sK961(U_8174,U_8173,U_8172,U_8171,U_8175))
& m1_subset_1(sK961(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8175) ) )
| ~ m1_rmod_2(U_8171,U_8174,U_8173) )
| ~ m1_rmod_2(U_8172,U_8174,U_8173) )
| ~ l1_vectsp_2(U_8173,U_8174)
| ~ v5_vectsp_2(U_8173,U_8174)
| ~ v6_rlvect_1(U_8173)
| ~ v5_rlvect_1(U_8173)
| ~ v4_rlvect_1(U_8173)
| ~ v3_rlvect_1(U_8173)
| v3_struct_0(U_8173) )
| ~ l3_vectsp_1(U_8174)
| ~ v8_vectsp_1(U_8174)
| ~ v7_vectsp_1(U_8174)
| ~ v6_vectsp_1(U_8174)
| ~ v4_group_1(U_8174)
| ~ v6_rlvect_1(U_8174)
| ~ v5_rlvect_1(U_8174)
| ~ v4_rlvect_1(U_8174)
| ~ v3_rlvect_1(U_8174)
| v3_struct_0(U_8174) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK961]),skolemize(U_8167,sK961(U_8174,U_8173,U_8172,U_8171,U_8175))],[f_3254_3]) ).
fof(f_3254_5,plain,
! [U_8174] :
( ! [U_8173] :
( ! [U_8172] :
( ! [U_8171] :
( ( ! [U_8176] :
( r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8176)
| ! [U_8169] :
( ! [U_8168] :
( U_8176 != k4_rlvect_1(U_8173,U_8169,U_8168)
| ~ r1_rlvect_1(U_8171,U_8168)
| ~ m1_subset_1(U_8168,u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(U_8172,U_8169)
| ~ m1_subset_1(U_8169,u1_struct_0(U_8173)) ) )
& ! [U_8175] :
( ( U_8175 = k4_rlvect_1(U_8173,sK961(U_8174,U_8173,U_8172,U_8171,U_8175),sK962(U_8174,U_8173,U_8172,U_8171,U_8175))
& r1_rlvect_1(U_8171,sK962(U_8174,U_8173,U_8172,U_8171,U_8175))
& m1_subset_1(sK962(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173))
& r1_rlvect_1(U_8172,sK961(U_8174,U_8173,U_8172,U_8171,U_8175))
& m1_subset_1(sK961(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173)) )
| ~ r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8175) ) )
| ~ m1_rmod_2(U_8171,U_8174,U_8173) )
| ~ m1_rmod_2(U_8172,U_8174,U_8173) )
| ~ l1_vectsp_2(U_8173,U_8174)
| ~ v5_vectsp_2(U_8173,U_8174)
| ~ v6_rlvect_1(U_8173)
| ~ v5_rlvect_1(U_8173)
| ~ v4_rlvect_1(U_8173)
| ~ v3_rlvect_1(U_8173)
| v3_struct_0(U_8173) )
| ~ l3_vectsp_1(U_8174)
| ~ v8_vectsp_1(U_8174)
| ~ v7_vectsp_1(U_8174)
| ~ v6_vectsp_1(U_8174)
| ~ v4_group_1(U_8174)
| ~ v6_rlvect_1(U_8174)
| ~ v5_rlvect_1(U_8174)
| ~ v4_rlvect_1(U_8174)
| ~ v3_rlvect_1(U_8174)
| v3_struct_0(U_8174) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK962]),skolemize(U_8166,sK962(U_8174,U_8173,U_8172,U_8171,U_8175))],[f_3254_4]) ).
fof(f_3254_6,plain,
( ! [U_8172,U_8173,U_8171,U_8174,U_8175] :
( U_8175 = k4_rlvect_1(U_8173,sK961(U_8174,U_8173,U_8172,U_8171,U_8175),sK962(U_8174,U_8173,U_8172,U_8171,U_8175))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) )
& ! [U_8172,U_8173,U_8171,U_8174,U_8175] :
( r1_rlvect_1(U_8171,sK962(U_8174,U_8173,U_8172,U_8171,U_8175))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) )
& ! [U_8172,U_8173,U_8171,U_8174,U_8175] :
( m1_subset_1(sK962(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) )
& ! [U_8172,U_8173,U_8171,U_8174,U_8175] :
( r1_rlvect_1(U_8172,sK961(U_8174,U_8173,U_8172,U_8171,U_8175))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) )
& ! [U_8172,U_8173,U_8171,U_8174,U_8175] :
( m1_subset_1(sK961(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) )
& ! [U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168] :
( r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8176)
| U_8176 != k4_rlvect_1(U_8173,U_8169,U_8168)
| ~ r1_rlvect_1(U_8171,U_8168)
| ~ m1_subset_1(U_8168,u1_struct_0(U_8173))
| ~ r1_rlvect_1(U_8172,U_8169)
| ~ m1_subset_1(U_8169,u1_struct_0(U_8173))
| ~ sP1452(U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168) )
& ! [U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168] :
( sP1451(U_8172,U_8173,U_8171,U_8174,U_8175)
| ~ r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8175)
| ~ sP1452(U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168) )
& ! [U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168] :
( sP1452(U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168)
| ~ m1_rmod_2(U_8171,U_8174,U_8173)
| ~ m1_rmod_2(U_8172,U_8174,U_8173)
| ~ l1_vectsp_2(U_8173,U_8174)
| ~ v5_vectsp_2(U_8173,U_8174)
| ~ v6_rlvect_1(U_8173)
| ~ v5_rlvect_1(U_8173)
| ~ v4_rlvect_1(U_8173)
| ~ v3_rlvect_1(U_8173)
| v3_struct_0(U_8173)
| ~ l3_vectsp_1(U_8174)
| ~ v8_vectsp_1(U_8174)
| ~ v7_vectsp_1(U_8174)
| ~ v6_vectsp_1(U_8174)
| ~ v4_group_1(U_8174)
| ~ v6_rlvect_1(U_8174)
| ~ v5_rlvect_1(U_8174)
| ~ v4_rlvect_1(U_8174)
| ~ v3_rlvect_1(U_8174)
| v3_struct_0(U_8174) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1451,sP1452])],[f_3254_5]) ).
cnf(f_3254_7,plain,
( sP1452(U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168)
| ~ m1_rmod_2(U_8171,U_8174,U_8173)
| ~ m1_rmod_2(U_8172,U_8174,U_8173)
| ~ l1_vectsp_2(U_8173,U_8174)
| ~ v5_vectsp_2(U_8173,U_8174)
| ~ v6_rlvect_1(U_8173)
| ~ v5_rlvect_1(U_8173)
| ~ v4_rlvect_1(U_8173)
| ~ v3_rlvect_1(U_8173)
| v3_struct_0(U_8173)
| ~ l3_vectsp_1(U_8174)
| ~ v8_vectsp_1(U_8174)
| ~ v7_vectsp_1(U_8174)
| ~ v6_vectsp_1(U_8174)
| ~ v4_group_1(U_8174)
| ~ v6_rlvect_1(U_8174)
| ~ v5_rlvect_1(U_8174)
| ~ v4_rlvect_1(U_8174)
| ~ v3_rlvect_1(U_8174)
| v3_struct_0(U_8174) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_8,plain,
( sP1451(U_8172,U_8173,U_8171,U_8174,U_8175)
| ~ r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8175)
| ~ sP1452(U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_9,plain,
( r1_rlvect_1(k1_rmod_3(U_8174,U_8173,U_8172,U_8171),U_8176)
| U_8176 != k4_rlvect_1(U_8173,U_8169,U_8168)
| ~ r1_rlvect_1(U_8171,U_8168)
| ~ m1_subset_1(U_8168,u1_struct_0(U_8173))
| ~ r1_rlvect_1(U_8172,U_8169)
| ~ m1_subset_1(U_8169,u1_struct_0(U_8173))
| ~ sP1452(U_8172,U_8173,U_8176,U_8171,U_8174,U_8175,U_8169,U_8168) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_10,plain,
( m1_subset_1(sK961(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_11,plain,
( r1_rlvect_1(U_8172,sK961(U_8174,U_8173,U_8172,U_8171,U_8175))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_12,plain,
( m1_subset_1(sK962(U_8174,U_8173,U_8172,U_8171,U_8175),u1_struct_0(U_8173))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_13,plain,
( r1_rlvect_1(U_8171,sK962(U_8174,U_8173,U_8172,U_8171,U_8175))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
cnf(f_3254_14,plain,
( U_8175 = k4_rlvect_1(U_8173,sK961(U_8174,U_8173,U_8172,U_8171,U_8175),sK962(U_8174,U_8173,U_8172,U_8171,U_8175))
| ~ sP1451(U_8172,U_8173,U_8171,U_8174,U_8175) ),
inference(clausify,[status(thm)],[f_3254_6]) ).
fof(f_3255_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rlvect_1(k1_rmod_3(A,B,C,D),E)
| ( ~ r1_rlvect_1(D,E)
& ~ r1_rlvect_1(C,E) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_rmod_3]) ).
fof(f_3255_2,plain,
! [U_8181] :
( ! [U_8180] :
( ! [U_8179] :
( ! [U_8178] :
( ! [U_8177] :
( r1_rlvect_1(k1_rmod_3(U_8181,U_8180,U_8179,U_8178),U_8177)
| ( ~ r1_rlvect_1(U_8178,U_8177)
& ~ r1_rlvect_1(U_8179,U_8177) )
| ~ m1_subset_1(U_8177,u1_struct_0(U_8180)) )
| ~ m1_rmod_2(U_8178,U_8181,U_8180) )
| ~ m1_rmod_2(U_8179,U_8181,U_8180) )
| ~ l1_vectsp_2(U_8180,U_8181)
| ~ v5_vectsp_2(U_8180,U_8181)
| ~ v6_rlvect_1(U_8180)
| ~ v5_rlvect_1(U_8180)
| ~ v4_rlvect_1(U_8180)
| ~ v3_rlvect_1(U_8180)
| v3_struct_0(U_8180) )
| ~ l3_vectsp_1(U_8181)
| ~ v8_vectsp_1(U_8181)
| ~ v7_vectsp_1(U_8181)
| ~ v6_vectsp_1(U_8181)
| ~ v4_group_1(U_8181)
| ~ v6_rlvect_1(U_8181)
| ~ v5_rlvect_1(U_8181)
| ~ v4_rlvect_1(U_8181)
| ~ v3_rlvect_1(U_8181)
| v3_struct_0(U_8181) ),
inference(variable_rename,[status(thm)],[f_3255_1]) ).
fof(f_3255_3,plain,
( ! [U_8179,U_8178,U_8177] :
( ~ r1_rlvect_1(U_8178,U_8177)
| ~ sP1453(U_8179,U_8178,U_8177) )
& ! [U_8179,U_8178,U_8177] :
( ~ r1_rlvect_1(U_8179,U_8177)
| ~ sP1453(U_8179,U_8178,U_8177) )
& ! [U_8179,U_8180,U_8178,U_8177,U_8181] :
( r1_rlvect_1(k1_rmod_3(U_8181,U_8180,U_8179,U_8178),U_8177)
| sP1453(U_8179,U_8178,U_8177)
| ~ m1_subset_1(U_8177,u1_struct_0(U_8180))
| ~ m1_rmod_2(U_8178,U_8181,U_8180)
| ~ m1_rmod_2(U_8179,U_8181,U_8180)
| ~ l1_vectsp_2(U_8180,U_8181)
| ~ v5_vectsp_2(U_8180,U_8181)
| ~ v6_rlvect_1(U_8180)
| ~ v5_rlvect_1(U_8180)
| ~ v4_rlvect_1(U_8180)
| ~ v3_rlvect_1(U_8180)
| v3_struct_0(U_8180)
| ~ l3_vectsp_1(U_8181)
| ~ v8_vectsp_1(U_8181)
| ~ v7_vectsp_1(U_8181)
| ~ v6_vectsp_1(U_8181)
| ~ v4_group_1(U_8181)
| ~ v6_rlvect_1(U_8181)
| ~ v5_rlvect_1(U_8181)
| ~ v4_rlvect_1(U_8181)
| ~ v3_rlvect_1(U_8181)
| v3_struct_0(U_8181) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1453])],[f_3255_2]) ).
cnf(f_3255_4,plain,
( r1_rlvect_1(k1_rmod_3(U_8181,U_8180,U_8179,U_8178),U_8177)
| sP1453(U_8179,U_8178,U_8177)
| ~ m1_subset_1(U_8177,u1_struct_0(U_8180))
| ~ m1_rmod_2(U_8178,U_8181,U_8180)
| ~ m1_rmod_2(U_8179,U_8181,U_8180)
| ~ l1_vectsp_2(U_8180,U_8181)
| ~ v5_vectsp_2(U_8180,U_8181)
| ~ v6_rlvect_1(U_8180)
| ~ v5_rlvect_1(U_8180)
| ~ v4_rlvect_1(U_8180)
| ~ v3_rlvect_1(U_8180)
| v3_struct_0(U_8180)
| ~ l3_vectsp_1(U_8181)
| ~ v8_vectsp_1(U_8181)
| ~ v7_vectsp_1(U_8181)
| ~ v6_vectsp_1(U_8181)
| ~ v4_group_1(U_8181)
| ~ v6_rlvect_1(U_8181)
| ~ v5_rlvect_1(U_8181)
| ~ v4_rlvect_1(U_8181)
| ~ v3_rlvect_1(U_8181)
| v3_struct_0(U_8181) ),
inference(clausify,[status(thm)],[f_3255_3]) ).
cnf(f_3255_5,plain,
( ~ r1_rlvect_1(U_8179,U_8177)
| ~ sP1453(U_8179,U_8178,U_8177) ),
inference(clausify,[status(thm)],[f_3255_3]) ).
cnf(f_3255_6,plain,
( ~ r1_rlvect_1(U_8178,U_8177)
| ~ sP1453(U_8179,U_8178,U_8177) ),
inference(clausify,[status(thm)],[f_3255_3]) ).
fof(f_3256_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( r1_rlvect_1(k2_rmod_3(A,B,C,D),E)
| ~ r1_rlvect_1(D,E)
| ~ r1_rlvect_1(C,E) )
& ( ( r1_rlvect_1(D,E)
& r1_rlvect_1(C,E) )
| ~ r1_rlvect_1(k2_rmod_3(A,B,C,D),E) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_rmod_3]) ).
fof(f_3256_2,plain,
! [U_8186] :
( ! [U_8185] :
( ! [U_8184] :
( ! [U_8183] :
( ! [U_8182] :
( ( r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8182)
| ~ r1_rlvect_1(U_8183,U_8182)
| ~ r1_rlvect_1(U_8184,U_8182) )
& ( ( r1_rlvect_1(U_8183,U_8182)
& r1_rlvect_1(U_8184,U_8182) )
| ~ r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8182) ) )
| ~ m1_rmod_2(U_8183,U_8186,U_8185) )
| ~ m1_rmod_2(U_8184,U_8186,U_8185) )
| ~ l1_vectsp_2(U_8185,U_8186)
| ~ v5_vectsp_2(U_8185,U_8186)
| ~ v6_rlvect_1(U_8185)
| ~ v5_rlvect_1(U_8185)
| ~ v4_rlvect_1(U_8185)
| ~ v3_rlvect_1(U_8185)
| v3_struct_0(U_8185) )
| ~ l3_vectsp_1(U_8186)
| ~ v8_vectsp_1(U_8186)
| ~ v7_vectsp_1(U_8186)
| ~ v6_vectsp_1(U_8186)
| ~ v4_group_1(U_8186)
| ~ v6_rlvect_1(U_8186)
| ~ v5_rlvect_1(U_8186)
| ~ v4_rlvect_1(U_8186)
| ~ v3_rlvect_1(U_8186)
| v3_struct_0(U_8186) ),
inference(variable_rename,[status(thm)],[f_3256_1]) ).
fof(f_3256_3,plain,
! [U_8186] :
( ! [U_8185] :
( ! [U_8184] :
( ! [U_8183] :
( ( ! [U_8188] :
( r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8188)
| ~ r1_rlvect_1(U_8183,U_8188)
| ~ r1_rlvect_1(U_8184,U_8188) )
& ! [U_8187] :
( ( r1_rlvect_1(U_8183,U_8187)
& r1_rlvect_1(U_8184,U_8187) )
| ~ r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8187) ) )
| ~ m1_rmod_2(U_8183,U_8186,U_8185) )
| ~ m1_rmod_2(U_8184,U_8186,U_8185) )
| ~ l1_vectsp_2(U_8185,U_8186)
| ~ v5_vectsp_2(U_8185,U_8186)
| ~ v6_rlvect_1(U_8185)
| ~ v5_rlvect_1(U_8185)
| ~ v4_rlvect_1(U_8185)
| ~ v3_rlvect_1(U_8185)
| v3_struct_0(U_8185) )
| ~ l3_vectsp_1(U_8186)
| ~ v8_vectsp_1(U_8186)
| ~ v7_vectsp_1(U_8186)
| ~ v6_vectsp_1(U_8186)
| ~ v4_group_1(U_8186)
| ~ v6_rlvect_1(U_8186)
| ~ v5_rlvect_1(U_8186)
| ~ v4_rlvect_1(U_8186)
| ~ v3_rlvect_1(U_8186)
| v3_struct_0(U_8186) ),
inference(miniscope,[status(thm)],[f_3256_2]) ).
fof(f_3256_4,plain,
( ! [U_8187,U_8183,U_8184] :
( r1_rlvect_1(U_8183,U_8187)
| ~ sP1454(U_8187,U_8183,U_8184) )
& ! [U_8187,U_8183,U_8184] :
( r1_rlvect_1(U_8184,U_8187)
| ~ sP1454(U_8187,U_8183,U_8184) )
& ! [U_8185,U_8186,U_8187,U_8183,U_8188,U_8184] :
( r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8188)
| ~ r1_rlvect_1(U_8183,U_8188)
| ~ r1_rlvect_1(U_8184,U_8188)
| ~ sP1455(U_8185,U_8186,U_8187,U_8183,U_8188,U_8184) )
& ! [U_8185,U_8186,U_8187,U_8183,U_8188,U_8184] :
( sP1454(U_8187,U_8183,U_8184)
| ~ r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8187)
| ~ sP1455(U_8185,U_8186,U_8187,U_8183,U_8188,U_8184) )
& ! [U_8185,U_8186,U_8187,U_8183,U_8188,U_8184] :
( sP1455(U_8185,U_8186,U_8187,U_8183,U_8188,U_8184)
| ~ m1_rmod_2(U_8183,U_8186,U_8185)
| ~ m1_rmod_2(U_8184,U_8186,U_8185)
| ~ l1_vectsp_2(U_8185,U_8186)
| ~ v5_vectsp_2(U_8185,U_8186)
| ~ v6_rlvect_1(U_8185)
| ~ v5_rlvect_1(U_8185)
| ~ v4_rlvect_1(U_8185)
| ~ v3_rlvect_1(U_8185)
| v3_struct_0(U_8185)
| ~ l3_vectsp_1(U_8186)
| ~ v8_vectsp_1(U_8186)
| ~ v7_vectsp_1(U_8186)
| ~ v6_vectsp_1(U_8186)
| ~ v4_group_1(U_8186)
| ~ v6_rlvect_1(U_8186)
| ~ v5_rlvect_1(U_8186)
| ~ v4_rlvect_1(U_8186)
| ~ v3_rlvect_1(U_8186)
| v3_struct_0(U_8186) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1454,sP1455])],[f_3256_3]) ).
cnf(f_3256_5,plain,
( sP1455(U_8185,U_8186,U_8187,U_8183,U_8188,U_8184)
| ~ m1_rmod_2(U_8183,U_8186,U_8185)
| ~ m1_rmod_2(U_8184,U_8186,U_8185)
| ~ l1_vectsp_2(U_8185,U_8186)
| ~ v5_vectsp_2(U_8185,U_8186)
| ~ v6_rlvect_1(U_8185)
| ~ v5_rlvect_1(U_8185)
| ~ v4_rlvect_1(U_8185)
| ~ v3_rlvect_1(U_8185)
| v3_struct_0(U_8185)
| ~ l3_vectsp_1(U_8186)
| ~ v8_vectsp_1(U_8186)
| ~ v7_vectsp_1(U_8186)
| ~ v6_vectsp_1(U_8186)
| ~ v4_group_1(U_8186)
| ~ v6_rlvect_1(U_8186)
| ~ v5_rlvect_1(U_8186)
| ~ v4_rlvect_1(U_8186)
| ~ v3_rlvect_1(U_8186)
| v3_struct_0(U_8186) ),
inference(clausify,[status(thm)],[f_3256_4]) ).
cnf(f_3256_6,plain,
( sP1454(U_8187,U_8183,U_8184)
| ~ r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8187)
| ~ sP1455(U_8185,U_8186,U_8187,U_8183,U_8188,U_8184) ),
inference(clausify,[status(thm)],[f_3256_4]) ).
cnf(f_3256_7,plain,
( r1_rlvect_1(k2_rmod_3(U_8186,U_8185,U_8184,U_8183),U_8188)
| ~ r1_rlvect_1(U_8183,U_8188)
| ~ r1_rlvect_1(U_8184,U_8188)
| ~ sP1455(U_8185,U_8186,U_8187,U_8183,U_8188,U_8184) ),
inference(clausify,[status(thm)],[f_3256_4]) ).
cnf(f_3256_8,plain,
( r1_rlvect_1(U_8184,U_8187)
| ~ sP1454(U_8187,U_8183,U_8184) ),
inference(clausify,[status(thm)],[f_3256_4]) ).
cnf(f_3256_9,plain,
( r1_rlvect_1(U_8183,U_8187)
| ~ sP1454(U_8187,U_8183,U_8184) ),
inference(clausify,[status(thm)],[f_3256_4]) ).
fof(f_3257_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_rmod_3(A,B,C,C) = C
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t8_rmod_3]) ).
fof(f_3257_2,plain,
! [U_8191] :
( ! [U_8190] :
( ! [U_8189] :
( k1_rmod_3(U_8191,U_8190,U_8189,U_8189) = U_8189
| ~ m1_rmod_2(U_8189,U_8191,U_8190)
| ~ v3_vectsp_2(U_8189,U_8191) )
| ~ l1_vectsp_2(U_8190,U_8191)
| ~ v5_vectsp_2(U_8190,U_8191)
| ~ v6_rlvect_1(U_8190)
| ~ v5_rlvect_1(U_8190)
| ~ v4_rlvect_1(U_8190)
| ~ v3_rlvect_1(U_8190)
| v3_struct_0(U_8190) )
| ~ l3_vectsp_1(U_8191)
| ~ v8_vectsp_1(U_8191)
| ~ v7_vectsp_1(U_8191)
| ~ v6_vectsp_1(U_8191)
| ~ v4_group_1(U_8191)
| ~ v6_rlvect_1(U_8191)
| ~ v5_rlvect_1(U_8191)
| ~ v4_rlvect_1(U_8191)
| ~ v3_rlvect_1(U_8191)
| v3_struct_0(U_8191) ),
inference(variable_rename,[status(thm)],[f_3257_1]) ).
fof(f_3257_3,plain,
! [U_8190,U_8189,U_8191] :
( k1_rmod_3(U_8191,U_8190,U_8189,U_8189) = U_8189
| ~ m1_rmod_2(U_8189,U_8191,U_8190)
| ~ v3_vectsp_2(U_8189,U_8191)
| ~ l1_vectsp_2(U_8190,U_8191)
| ~ v5_vectsp_2(U_8190,U_8191)
| ~ v6_rlvect_1(U_8190)
| ~ v5_rlvect_1(U_8190)
| ~ v4_rlvect_1(U_8190)
| ~ v3_rlvect_1(U_8190)
| v3_struct_0(U_8190)
| ~ l3_vectsp_1(U_8191)
| ~ v8_vectsp_1(U_8191)
| ~ v7_vectsp_1(U_8191)
| ~ v6_vectsp_1(U_8191)
| ~ v4_group_1(U_8191)
| ~ v6_rlvect_1(U_8191)
| ~ v5_rlvect_1(U_8191)
| ~ v4_rlvect_1(U_8191)
| ~ v3_rlvect_1(U_8191)
| v3_struct_0(U_8191) ),
inference(definitional_conversion,[status(esa)],[f_3257_2]) ).
cnf(f_3257_4,plain,
( k1_rmod_3(U_8191,U_8190,U_8189,U_8189) = U_8189
| ~ m1_rmod_2(U_8189,U_8191,U_8190)
| ~ v3_vectsp_2(U_8189,U_8191)
| ~ l1_vectsp_2(U_8190,U_8191)
| ~ v5_vectsp_2(U_8190,U_8191)
| ~ v6_rlvect_1(U_8190)
| ~ v5_rlvect_1(U_8190)
| ~ v4_rlvect_1(U_8190)
| ~ v3_rlvect_1(U_8190)
| v3_struct_0(U_8190)
| ~ l3_vectsp_1(U_8191)
| ~ v8_vectsp_1(U_8191)
| ~ v7_vectsp_1(U_8191)
| ~ v6_vectsp_1(U_8191)
| ~ v4_group_1(U_8191)
| ~ v6_rlvect_1(U_8191)
| ~ v5_rlvect_1(U_8191)
| ~ v4_rlvect_1(U_8191)
| ~ v3_rlvect_1(U_8191)
| v3_struct_0(U_8191) ),
inference(clausify,[status(thm)],[f_3257_3]) ).
fof(f_3258_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_3(A,B,C,D) = k1_rmod_3(A,B,D,C)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t9_rmod_3]) ).
fof(f_3258_2,plain,
! [U_8195] :
( ! [U_8194] :
( ! [U_8193] :
( ! [U_8192] :
( k1_rmod_3(U_8195,U_8194,U_8193,U_8192) = k1_rmod_3(U_8195,U_8194,U_8192,U_8193)
| ~ m1_rmod_2(U_8192,U_8195,U_8194) )
| ~ m1_rmod_2(U_8193,U_8195,U_8194) )
| ~ l1_vectsp_2(U_8194,U_8195)
| ~ v5_vectsp_2(U_8194,U_8195)
| ~ v6_rlvect_1(U_8194)
| ~ v5_rlvect_1(U_8194)
| ~ v4_rlvect_1(U_8194)
| ~ v3_rlvect_1(U_8194)
| v3_struct_0(U_8194) )
| ~ l3_vectsp_1(U_8195)
| ~ v8_vectsp_1(U_8195)
| ~ v7_vectsp_1(U_8195)
| ~ v6_vectsp_1(U_8195)
| ~ v4_group_1(U_8195)
| ~ v6_rlvect_1(U_8195)
| ~ v5_rlvect_1(U_8195)
| ~ v4_rlvect_1(U_8195)
| ~ v3_rlvect_1(U_8195)
| v3_struct_0(U_8195) ),
inference(variable_rename,[status(thm)],[f_3258_1]) ).
fof(f_3258_3,plain,
! [U_8193,U_8192,U_8195,U_8194] :
( k1_rmod_3(U_8195,U_8194,U_8193,U_8192) = k1_rmod_3(U_8195,U_8194,U_8192,U_8193)
| ~ m1_rmod_2(U_8192,U_8195,U_8194)
| ~ m1_rmod_2(U_8193,U_8195,U_8194)
| ~ l1_vectsp_2(U_8194,U_8195)
| ~ v5_vectsp_2(U_8194,U_8195)
| ~ v6_rlvect_1(U_8194)
| ~ v5_rlvect_1(U_8194)
| ~ v4_rlvect_1(U_8194)
| ~ v3_rlvect_1(U_8194)
| v3_struct_0(U_8194)
| ~ l3_vectsp_1(U_8195)
| ~ v8_vectsp_1(U_8195)
| ~ v7_vectsp_1(U_8195)
| ~ v6_vectsp_1(U_8195)
| ~ v4_group_1(U_8195)
| ~ v6_rlvect_1(U_8195)
| ~ v5_rlvect_1(U_8195)
| ~ v4_rlvect_1(U_8195)
| ~ v3_rlvect_1(U_8195)
| v3_struct_0(U_8195) ),
inference(definitional_conversion,[status(esa)],[f_3258_2]) ).
cnf(f_3258_4,plain,
( k1_rmod_3(U_8195,U_8194,U_8193,U_8192) = k1_rmod_3(U_8195,U_8194,U_8192,U_8193)
| ~ m1_rmod_2(U_8192,U_8195,U_8194)
| ~ m1_rmod_2(U_8193,U_8195,U_8194)
| ~ l1_vectsp_2(U_8194,U_8195)
| ~ v5_vectsp_2(U_8194,U_8195)
| ~ v6_rlvect_1(U_8194)
| ~ v5_rlvect_1(U_8194)
| ~ v4_rlvect_1(U_8194)
| ~ v3_rlvect_1(U_8194)
| v3_struct_0(U_8194)
| ~ l3_vectsp_1(U_8195)
| ~ v8_vectsp_1(U_8195)
| ~ v7_vectsp_1(U_8195)
| ~ v6_vectsp_1(U_8195)
| ~ v4_group_1(U_8195)
| ~ v6_rlvect_1(U_8195)
| ~ v5_rlvect_1(U_8195)
| ~ v4_rlvect_1(U_8195)
| ~ v3_rlvect_1(U_8195)
| v3_struct_0(U_8195) ),
inference(clausify,[status(thm)],[f_3258_3]) ).
fof(f_3259_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_rmod_3(A,B,C,k1_rmod_3(A,B,D,E)) = k1_rmod_3(A,B,k1_rmod_3(A,B,C,D),E)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t10_rmod_3]) ).
fof(f_3259_2,plain,
! [U_8200] :
( ! [U_8199] :
( ! [U_8198] :
( ! [U_8197] :
( ! [U_8196] :
( k1_rmod_3(U_8200,U_8199,U_8198,k1_rmod_3(U_8200,U_8199,U_8197,U_8196)) = k1_rmod_3(U_8200,U_8199,k1_rmod_3(U_8200,U_8199,U_8198,U_8197),U_8196)
| ~ m1_rmod_2(U_8196,U_8200,U_8199) )
| ~ m1_rmod_2(U_8197,U_8200,U_8199) )
| ~ m1_rmod_2(U_8198,U_8200,U_8199) )
| ~ l1_vectsp_2(U_8199,U_8200)
| ~ v5_vectsp_2(U_8199,U_8200)
| ~ v6_rlvect_1(U_8199)
| ~ v5_rlvect_1(U_8199)
| ~ v4_rlvect_1(U_8199)
| ~ v3_rlvect_1(U_8199)
| v3_struct_0(U_8199) )
| ~ l3_vectsp_1(U_8200)
| ~ v8_vectsp_1(U_8200)
| ~ v7_vectsp_1(U_8200)
| ~ v6_vectsp_1(U_8200)
| ~ v4_group_1(U_8200)
| ~ v6_rlvect_1(U_8200)
| ~ v5_rlvect_1(U_8200)
| ~ v4_rlvect_1(U_8200)
| ~ v3_rlvect_1(U_8200)
| v3_struct_0(U_8200) ),
inference(variable_rename,[status(thm)],[f_3259_1]) ).
fof(f_3259_3,plain,
! [U_8197,U_8198,U_8196,U_8199,U_8200] :
( k1_rmod_3(U_8200,U_8199,U_8198,k1_rmod_3(U_8200,U_8199,U_8197,U_8196)) = k1_rmod_3(U_8200,U_8199,k1_rmod_3(U_8200,U_8199,U_8198,U_8197),U_8196)
| ~ m1_rmod_2(U_8196,U_8200,U_8199)
| ~ m1_rmod_2(U_8197,U_8200,U_8199)
| ~ m1_rmod_2(U_8198,U_8200,U_8199)
| ~ l1_vectsp_2(U_8199,U_8200)
| ~ v5_vectsp_2(U_8199,U_8200)
| ~ v6_rlvect_1(U_8199)
| ~ v5_rlvect_1(U_8199)
| ~ v4_rlvect_1(U_8199)
| ~ v3_rlvect_1(U_8199)
| v3_struct_0(U_8199)
| ~ l3_vectsp_1(U_8200)
| ~ v8_vectsp_1(U_8200)
| ~ v7_vectsp_1(U_8200)
| ~ v6_vectsp_1(U_8200)
| ~ v4_group_1(U_8200)
| ~ v6_rlvect_1(U_8200)
| ~ v5_rlvect_1(U_8200)
| ~ v4_rlvect_1(U_8200)
| ~ v3_rlvect_1(U_8200)
| v3_struct_0(U_8200) ),
inference(definitional_conversion,[status(esa)],[f_3259_2]) ).
cnf(f_3259_4,plain,
( k1_rmod_3(U_8200,U_8199,U_8198,k1_rmod_3(U_8200,U_8199,U_8197,U_8196)) = k1_rmod_3(U_8200,U_8199,k1_rmod_3(U_8200,U_8199,U_8198,U_8197),U_8196)
| ~ m1_rmod_2(U_8196,U_8200,U_8199)
| ~ m1_rmod_2(U_8197,U_8200,U_8199)
| ~ m1_rmod_2(U_8198,U_8200,U_8199)
| ~ l1_vectsp_2(U_8199,U_8200)
| ~ v5_vectsp_2(U_8199,U_8200)
| ~ v6_rlvect_1(U_8199)
| ~ v5_rlvect_1(U_8199)
| ~ v4_rlvect_1(U_8199)
| ~ v3_rlvect_1(U_8199)
| v3_struct_0(U_8199)
| ~ l3_vectsp_1(U_8200)
| ~ v8_vectsp_1(U_8200)
| ~ v7_vectsp_1(U_8200)
| ~ v6_vectsp_1(U_8200)
| ~ v4_group_1(U_8200)
| ~ v6_rlvect_1(U_8200)
| ~ v5_rlvect_1(U_8200)
| ~ v4_rlvect_1(U_8200)
| ~ v3_rlvect_1(U_8200)
| v3_struct_0(U_8200) ),
inference(clausify,[status(thm)],[f_3259_3]) ).
fof(f_3260_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( m1_rmod_2(D,A,k1_rmod_3(A,B,C,D))
& m1_rmod_2(C,A,k1_rmod_3(A,B,C,D)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t11_rmod_3]) ).
fof(f_3260_2,plain,
! [U_8204] :
( ! [U_8203] :
( ! [U_8202] :
( ! [U_8201] :
( ( m1_rmod_2(U_8201,U_8204,k1_rmod_3(U_8204,U_8203,U_8202,U_8201))
& m1_rmod_2(U_8202,U_8204,k1_rmod_3(U_8204,U_8203,U_8202,U_8201)) )
| ~ m1_rmod_2(U_8201,U_8204,U_8203) )
| ~ m1_rmod_2(U_8202,U_8204,U_8203) )
| ~ l1_vectsp_2(U_8203,U_8204)
| ~ v5_vectsp_2(U_8203,U_8204)
| ~ v6_rlvect_1(U_8203)
| ~ v5_rlvect_1(U_8203)
| ~ v4_rlvect_1(U_8203)
| ~ v3_rlvect_1(U_8203)
| v3_struct_0(U_8203) )
| ~ l3_vectsp_1(U_8204)
| ~ v8_vectsp_1(U_8204)
| ~ v7_vectsp_1(U_8204)
| ~ v6_vectsp_1(U_8204)
| ~ v4_group_1(U_8204)
| ~ v6_rlvect_1(U_8204)
| ~ v5_rlvect_1(U_8204)
| ~ v4_rlvect_1(U_8204)
| ~ v3_rlvect_1(U_8204)
| v3_struct_0(U_8204) ),
inference(variable_rename,[status(thm)],[f_3260_1]) ).
fof(f_3260_3,plain,
( ! [U_8201,U_8204,U_8203,U_8202] :
( m1_rmod_2(U_8201,U_8204,k1_rmod_3(U_8204,U_8203,U_8202,U_8201))
| ~ sP1456(U_8201,U_8204,U_8203,U_8202) )
& ! [U_8201,U_8204,U_8203,U_8202] :
( m1_rmod_2(U_8202,U_8204,k1_rmod_3(U_8204,U_8203,U_8202,U_8201))
| ~ sP1456(U_8201,U_8204,U_8203,U_8202) )
& ! [U_8201,U_8204,U_8203,U_8202] :
( sP1456(U_8201,U_8204,U_8203,U_8202)
| ~ m1_rmod_2(U_8201,U_8204,U_8203)
| ~ m1_rmod_2(U_8202,U_8204,U_8203)
| ~ l1_vectsp_2(U_8203,U_8204)
| ~ v5_vectsp_2(U_8203,U_8204)
| ~ v6_rlvect_1(U_8203)
| ~ v5_rlvect_1(U_8203)
| ~ v4_rlvect_1(U_8203)
| ~ v3_rlvect_1(U_8203)
| v3_struct_0(U_8203)
| ~ l3_vectsp_1(U_8204)
| ~ v8_vectsp_1(U_8204)
| ~ v7_vectsp_1(U_8204)
| ~ v6_vectsp_1(U_8204)
| ~ v4_group_1(U_8204)
| ~ v6_rlvect_1(U_8204)
| ~ v5_rlvect_1(U_8204)
| ~ v4_rlvect_1(U_8204)
| ~ v3_rlvect_1(U_8204)
| v3_struct_0(U_8204) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1456])],[f_3260_2]) ).
cnf(f_3260_4,plain,
( sP1456(U_8201,U_8204,U_8203,U_8202)
| ~ m1_rmod_2(U_8201,U_8204,U_8203)
| ~ m1_rmod_2(U_8202,U_8204,U_8203)
| ~ l1_vectsp_2(U_8203,U_8204)
| ~ v5_vectsp_2(U_8203,U_8204)
| ~ v6_rlvect_1(U_8203)
| ~ v5_rlvect_1(U_8203)
| ~ v4_rlvect_1(U_8203)
| ~ v3_rlvect_1(U_8203)
| v3_struct_0(U_8203)
| ~ l3_vectsp_1(U_8204)
| ~ v8_vectsp_1(U_8204)
| ~ v7_vectsp_1(U_8204)
| ~ v6_vectsp_1(U_8204)
| ~ v4_group_1(U_8204)
| ~ v6_rlvect_1(U_8204)
| ~ v5_rlvect_1(U_8204)
| ~ v4_rlvect_1(U_8204)
| ~ v3_rlvect_1(U_8204)
| v3_struct_0(U_8204) ),
inference(clausify,[status(thm)],[f_3260_3]) ).
cnf(f_3260_5,plain,
( m1_rmod_2(U_8202,U_8204,k1_rmod_3(U_8204,U_8203,U_8202,U_8201))
| ~ sP1456(U_8201,U_8204,U_8203,U_8202) ),
inference(clausify,[status(thm)],[f_3260_3]) ).
cnf(f_3260_6,plain,
( m1_rmod_2(U_8201,U_8204,k1_rmod_3(U_8204,U_8203,U_8202,U_8201))
| ~ sP1456(U_8201,U_8204,U_8203,U_8202) ),
inference(clausify,[status(thm)],[f_3260_3]) ).
fof(f_3261_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( m1_rmod_2(C,A,D)
| k1_rmod_3(A,B,C,D) != D )
& ( k1_rmod_3(A,B,C,D) = D
| ~ m1_rmod_2(C,A,D) ) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t12_rmod_3]) ).
fof(f_3261_2,plain,
! [U_8208] :
( ! [U_8207] :
( ! [U_8206] :
( ! [U_8205] :
( ( ( m1_rmod_2(U_8206,U_8208,U_8205)
| k1_rmod_3(U_8208,U_8207,U_8206,U_8205) != U_8205 )
& ( k1_rmod_3(U_8208,U_8207,U_8206,U_8205) = U_8205
| ~ m1_rmod_2(U_8206,U_8208,U_8205) ) )
| ~ m1_rmod_2(U_8205,U_8208,U_8207)
| ~ v3_vectsp_2(U_8205,U_8208) )
| ~ m1_rmod_2(U_8206,U_8208,U_8207) )
| ~ l1_vectsp_2(U_8207,U_8208)
| ~ v5_vectsp_2(U_8207,U_8208)
| ~ v6_rlvect_1(U_8207)
| ~ v5_rlvect_1(U_8207)
| ~ v4_rlvect_1(U_8207)
| ~ v3_rlvect_1(U_8207)
| v3_struct_0(U_8207) )
| ~ l3_vectsp_1(U_8208)
| ~ v8_vectsp_1(U_8208)
| ~ v7_vectsp_1(U_8208)
| ~ v6_vectsp_1(U_8208)
| ~ v4_group_1(U_8208)
| ~ v6_rlvect_1(U_8208)
| ~ v5_rlvect_1(U_8208)
| ~ v4_rlvect_1(U_8208)
| ~ v3_rlvect_1(U_8208)
| v3_struct_0(U_8208) ),
inference(variable_rename,[status(thm)],[f_3261_1]) ).
fof(f_3261_3,plain,
( ! [U_8205,U_8206,U_8208,U_8207] :
( m1_rmod_2(U_8206,U_8208,U_8205)
| k1_rmod_3(U_8208,U_8207,U_8206,U_8205) != U_8205
| ~ sP1457(U_8205,U_8206,U_8208,U_8207) )
& ! [U_8205,U_8206,U_8208,U_8207] :
( k1_rmod_3(U_8208,U_8207,U_8206,U_8205) = U_8205
| ~ m1_rmod_2(U_8206,U_8208,U_8205)
| ~ sP1457(U_8205,U_8206,U_8208,U_8207) )
& ! [U_8205,U_8206,U_8208,U_8207] :
( sP1457(U_8205,U_8206,U_8208,U_8207)
| ~ m1_rmod_2(U_8205,U_8208,U_8207)
| ~ v3_vectsp_2(U_8205,U_8208)
| ~ m1_rmod_2(U_8206,U_8208,U_8207)
| ~ l1_vectsp_2(U_8207,U_8208)
| ~ v5_vectsp_2(U_8207,U_8208)
| ~ v6_rlvect_1(U_8207)
| ~ v5_rlvect_1(U_8207)
| ~ v4_rlvect_1(U_8207)
| ~ v3_rlvect_1(U_8207)
| v3_struct_0(U_8207)
| ~ l3_vectsp_1(U_8208)
| ~ v8_vectsp_1(U_8208)
| ~ v7_vectsp_1(U_8208)
| ~ v6_vectsp_1(U_8208)
| ~ v4_group_1(U_8208)
| ~ v6_rlvect_1(U_8208)
| ~ v5_rlvect_1(U_8208)
| ~ v4_rlvect_1(U_8208)
| ~ v3_rlvect_1(U_8208)
| v3_struct_0(U_8208) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1457])],[f_3261_2]) ).
cnf(f_3261_4,plain,
( sP1457(U_8205,U_8206,U_8208,U_8207)
| ~ m1_rmod_2(U_8205,U_8208,U_8207)
| ~ v3_vectsp_2(U_8205,U_8208)
| ~ m1_rmod_2(U_8206,U_8208,U_8207)
| ~ l1_vectsp_2(U_8207,U_8208)
| ~ v5_vectsp_2(U_8207,U_8208)
| ~ v6_rlvect_1(U_8207)
| ~ v5_rlvect_1(U_8207)
| ~ v4_rlvect_1(U_8207)
| ~ v3_rlvect_1(U_8207)
| v3_struct_0(U_8207)
| ~ l3_vectsp_1(U_8208)
| ~ v8_vectsp_1(U_8208)
| ~ v7_vectsp_1(U_8208)
| ~ v6_vectsp_1(U_8208)
| ~ v4_group_1(U_8208)
| ~ v6_rlvect_1(U_8208)
| ~ v5_rlvect_1(U_8208)
| ~ v4_rlvect_1(U_8208)
| ~ v3_rlvect_1(U_8208)
| v3_struct_0(U_8208) ),
inference(clausify,[status(thm)],[f_3261_3]) ).
cnf(f_3261_5,plain,
( k1_rmod_3(U_8208,U_8207,U_8206,U_8205) = U_8205
| ~ m1_rmod_2(U_8206,U_8208,U_8205)
| ~ sP1457(U_8205,U_8206,U_8208,U_8207) ),
inference(clausify,[status(thm)],[f_3261_3]) ).
cnf(f_3261_6,plain,
( m1_rmod_2(U_8206,U_8208,U_8205)
| k1_rmod_3(U_8208,U_8207,U_8206,U_8205) != U_8205
| ~ sP1457(U_8205,U_8206,U_8208,U_8207) ),
inference(clausify,[status(thm)],[f_3261_3]) ).
fof(f_3262_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k1_rmod_3(A,B,C,k1_rmod_2(A,B)) = C
& k1_rmod_3(A,B,k1_rmod_2(A,B),C) = C )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t13_rmod_3]) ).
fof(f_3262_2,plain,
! [U_8211] :
( ! [U_8210] :
( ! [U_8209] :
( ( k1_rmod_3(U_8211,U_8210,U_8209,k1_rmod_2(U_8211,U_8210)) = U_8209
& k1_rmod_3(U_8211,U_8210,k1_rmod_2(U_8211,U_8210),U_8209) = U_8209 )
| ~ m1_rmod_2(U_8209,U_8211,U_8210)
| ~ v3_vectsp_2(U_8209,U_8211) )
| ~ l1_vectsp_2(U_8210,U_8211)
| ~ v5_vectsp_2(U_8210,U_8211)
| ~ v6_rlvect_1(U_8210)
| ~ v5_rlvect_1(U_8210)
| ~ v4_rlvect_1(U_8210)
| ~ v3_rlvect_1(U_8210)
| v3_struct_0(U_8210) )
| ~ l3_vectsp_1(U_8211)
| ~ v8_vectsp_1(U_8211)
| ~ v7_vectsp_1(U_8211)
| ~ v6_vectsp_1(U_8211)
| ~ v4_group_1(U_8211)
| ~ v6_rlvect_1(U_8211)
| ~ v5_rlvect_1(U_8211)
| ~ v4_rlvect_1(U_8211)
| ~ v3_rlvect_1(U_8211)
| v3_struct_0(U_8211) ),
inference(variable_rename,[status(thm)],[f_3262_1]) ).
fof(f_3262_3,plain,
( ! [U_8211,U_8210,U_8209] :
( k1_rmod_3(U_8211,U_8210,U_8209,k1_rmod_2(U_8211,U_8210)) = U_8209
| ~ sP1458(U_8211,U_8210,U_8209) )
& ! [U_8211,U_8210,U_8209] :
( k1_rmod_3(U_8211,U_8210,k1_rmod_2(U_8211,U_8210),U_8209) = U_8209
| ~ sP1458(U_8211,U_8210,U_8209) )
& ! [U_8211,U_8210,U_8209] :
( sP1458(U_8211,U_8210,U_8209)
| ~ m1_rmod_2(U_8209,U_8211,U_8210)
| ~ v3_vectsp_2(U_8209,U_8211)
| ~ l1_vectsp_2(U_8210,U_8211)
| ~ v5_vectsp_2(U_8210,U_8211)
| ~ v6_rlvect_1(U_8210)
| ~ v5_rlvect_1(U_8210)
| ~ v4_rlvect_1(U_8210)
| ~ v3_rlvect_1(U_8210)
| v3_struct_0(U_8210)
| ~ l3_vectsp_1(U_8211)
| ~ v8_vectsp_1(U_8211)
| ~ v7_vectsp_1(U_8211)
| ~ v6_vectsp_1(U_8211)
| ~ v4_group_1(U_8211)
| ~ v6_rlvect_1(U_8211)
| ~ v5_rlvect_1(U_8211)
| ~ v4_rlvect_1(U_8211)
| ~ v3_rlvect_1(U_8211)
| v3_struct_0(U_8211) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1458])],[f_3262_2]) ).
cnf(f_3262_4,plain,
( sP1458(U_8211,U_8210,U_8209)
| ~ m1_rmod_2(U_8209,U_8211,U_8210)
| ~ v3_vectsp_2(U_8209,U_8211)
| ~ l1_vectsp_2(U_8210,U_8211)
| ~ v5_vectsp_2(U_8210,U_8211)
| ~ v6_rlvect_1(U_8210)
| ~ v5_rlvect_1(U_8210)
| ~ v4_rlvect_1(U_8210)
| ~ v3_rlvect_1(U_8210)
| v3_struct_0(U_8210)
| ~ l3_vectsp_1(U_8211)
| ~ v8_vectsp_1(U_8211)
| ~ v7_vectsp_1(U_8211)
| ~ v6_vectsp_1(U_8211)
| ~ v4_group_1(U_8211)
| ~ v6_rlvect_1(U_8211)
| ~ v5_rlvect_1(U_8211)
| ~ v4_rlvect_1(U_8211)
| ~ v3_rlvect_1(U_8211)
| v3_struct_0(U_8211) ),
inference(clausify,[status(thm)],[f_3262_3]) ).
cnf(f_3262_5,plain,
( k1_rmod_3(U_8211,U_8210,k1_rmod_2(U_8211,U_8210),U_8209) = U_8209
| ~ sP1458(U_8211,U_8210,U_8209) ),
inference(clausify,[status(thm)],[f_3262_3]) ).
cnf(f_3262_6,plain,
( k1_rmod_3(U_8211,U_8210,U_8209,k1_rmod_2(U_8211,U_8210)) = U_8209
| ~ sP1458(U_8211,U_8210,U_8209) ),
inference(clausify,[status(thm)],[f_3262_3]) ).
fof(f_3263_1,plain,
! [A] :
( ! [B] :
( ( k1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) = B
& k1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)) = B )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t14_rmod_3]) ).
fof(f_3263_2,plain,
! [U_8213] :
( ! [U_8212] :
( ( k1_rmod_3(U_8213,U_8212,k2_rmod_2(U_8213,U_8212),k1_rmod_2(U_8213,U_8212)) = U_8212
& k1_rmod_3(U_8213,U_8212,k1_rmod_2(U_8213,U_8212),k2_rmod_2(U_8213,U_8212)) = U_8212 )
| ~ l1_vectsp_2(U_8212,U_8213)
| ~ v5_vectsp_2(U_8212,U_8213)
| ~ v3_vectsp_2(U_8212,U_8213)
| ~ v6_rlvect_1(U_8212)
| ~ v5_rlvect_1(U_8212)
| ~ v4_rlvect_1(U_8212)
| ~ v3_rlvect_1(U_8212)
| v3_struct_0(U_8212) )
| ~ l3_vectsp_1(U_8213)
| ~ v8_vectsp_1(U_8213)
| ~ v7_vectsp_1(U_8213)
| ~ v6_vectsp_1(U_8213)
| ~ v4_group_1(U_8213)
| ~ v6_rlvect_1(U_8213)
| ~ v5_rlvect_1(U_8213)
| ~ v4_rlvect_1(U_8213)
| ~ v3_rlvect_1(U_8213)
| v3_struct_0(U_8213) ),
inference(variable_rename,[status(thm)],[f_3263_1]) ).
fof(f_3263_3,plain,
( ! [U_8212,U_8213] :
( k1_rmod_3(U_8213,U_8212,k2_rmod_2(U_8213,U_8212),k1_rmod_2(U_8213,U_8212)) = U_8212
| ~ sP1459(U_8212,U_8213) )
& ! [U_8212,U_8213] :
( k1_rmod_3(U_8213,U_8212,k1_rmod_2(U_8213,U_8212),k2_rmod_2(U_8213,U_8212)) = U_8212
| ~ sP1459(U_8212,U_8213) )
& ! [U_8212,U_8213] :
( sP1459(U_8212,U_8213)
| ~ l1_vectsp_2(U_8212,U_8213)
| ~ v5_vectsp_2(U_8212,U_8213)
| ~ v3_vectsp_2(U_8212,U_8213)
| ~ v6_rlvect_1(U_8212)
| ~ v5_rlvect_1(U_8212)
| ~ v4_rlvect_1(U_8212)
| ~ v3_rlvect_1(U_8212)
| v3_struct_0(U_8212)
| ~ l3_vectsp_1(U_8213)
| ~ v8_vectsp_1(U_8213)
| ~ v7_vectsp_1(U_8213)
| ~ v6_vectsp_1(U_8213)
| ~ v4_group_1(U_8213)
| ~ v6_rlvect_1(U_8213)
| ~ v5_rlvect_1(U_8213)
| ~ v4_rlvect_1(U_8213)
| ~ v3_rlvect_1(U_8213)
| v3_struct_0(U_8213) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1459])],[f_3263_2]) ).
cnf(f_3263_4,plain,
( sP1459(U_8212,U_8213)
| ~ l1_vectsp_2(U_8212,U_8213)
| ~ v5_vectsp_2(U_8212,U_8213)
| ~ v3_vectsp_2(U_8212,U_8213)
| ~ v6_rlvect_1(U_8212)
| ~ v5_rlvect_1(U_8212)
| ~ v4_rlvect_1(U_8212)
| ~ v3_rlvect_1(U_8212)
| v3_struct_0(U_8212)
| ~ l3_vectsp_1(U_8213)
| ~ v8_vectsp_1(U_8213)
| ~ v7_vectsp_1(U_8213)
| ~ v6_vectsp_1(U_8213)
| ~ v4_group_1(U_8213)
| ~ v6_rlvect_1(U_8213)
| ~ v5_rlvect_1(U_8213)
| ~ v4_rlvect_1(U_8213)
| ~ v3_rlvect_1(U_8213)
| v3_struct_0(U_8213) ),
inference(clausify,[status(thm)],[f_3263_3]) ).
cnf(f_3263_5,plain,
( k1_rmod_3(U_8213,U_8212,k1_rmod_2(U_8213,U_8212),k2_rmod_2(U_8213,U_8212)) = U_8212
| ~ sP1459(U_8212,U_8213) ),
inference(clausify,[status(thm)],[f_3263_3]) ).
cnf(f_3263_6,plain,
( k1_rmod_3(U_8213,U_8212,k2_rmod_2(U_8213,U_8212),k1_rmod_2(U_8213,U_8212)) = U_8212
| ~ sP1459(U_8212,U_8213) ),
inference(clausify,[status(thm)],[f_3263_3]) ).
fof(f_3264_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k1_rmod_3(A,B,C,k2_rmod_2(A,B)) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))
& k1_rmod_3(A,B,k2_rmod_2(A,B),C) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t15_rmod_3]) ).
fof(f_3264_2,plain,
! [U_8216] :
( ! [U_8215] :
( ! [U_8214] :
( ( k1_rmod_3(U_8216,U_8215,U_8214,k2_rmod_2(U_8216,U_8215)) = g1_vectsp_2(U_8216,u1_struct_0(U_8215),u1_rlvect_1(U_8215),u2_struct_0(U_8215),u1_vectsp_2(U_8216,U_8215))
& k1_rmod_3(U_8216,U_8215,k2_rmod_2(U_8216,U_8215),U_8214) = g1_vectsp_2(U_8216,u1_struct_0(U_8215),u1_rlvect_1(U_8215),u2_struct_0(U_8215),u1_vectsp_2(U_8216,U_8215)) )
| ~ m1_rmod_2(U_8214,U_8216,U_8215) )
| ~ l1_vectsp_2(U_8215,U_8216)
| ~ v5_vectsp_2(U_8215,U_8216)
| ~ v6_rlvect_1(U_8215)
| ~ v5_rlvect_1(U_8215)
| ~ v4_rlvect_1(U_8215)
| ~ v3_rlvect_1(U_8215)
| v3_struct_0(U_8215) )
| ~ l3_vectsp_1(U_8216)
| ~ v8_vectsp_1(U_8216)
| ~ v7_vectsp_1(U_8216)
| ~ v6_vectsp_1(U_8216)
| ~ v4_group_1(U_8216)
| ~ v6_rlvect_1(U_8216)
| ~ v5_rlvect_1(U_8216)
| ~ v4_rlvect_1(U_8216)
| ~ v3_rlvect_1(U_8216)
| v3_struct_0(U_8216) ),
inference(variable_rename,[status(thm)],[f_3264_1]) ).
fof(f_3264_3,plain,
( ! [U_8214,U_8216,U_8215] :
( k1_rmod_3(U_8216,U_8215,U_8214,k2_rmod_2(U_8216,U_8215)) = g1_vectsp_2(U_8216,u1_struct_0(U_8215),u1_rlvect_1(U_8215),u2_struct_0(U_8215),u1_vectsp_2(U_8216,U_8215))
| ~ sP1460(U_8214,U_8216,U_8215) )
& ! [U_8214,U_8216,U_8215] :
( k1_rmod_3(U_8216,U_8215,k2_rmod_2(U_8216,U_8215),U_8214) = g1_vectsp_2(U_8216,u1_struct_0(U_8215),u1_rlvect_1(U_8215),u2_struct_0(U_8215),u1_vectsp_2(U_8216,U_8215))
| ~ sP1460(U_8214,U_8216,U_8215) )
& ! [U_8214,U_8216,U_8215] :
( sP1460(U_8214,U_8216,U_8215)
| ~ m1_rmod_2(U_8214,U_8216,U_8215)
| ~ l1_vectsp_2(U_8215,U_8216)
| ~ v5_vectsp_2(U_8215,U_8216)
| ~ v6_rlvect_1(U_8215)
| ~ v5_rlvect_1(U_8215)
| ~ v4_rlvect_1(U_8215)
| ~ v3_rlvect_1(U_8215)
| v3_struct_0(U_8215)
| ~ l3_vectsp_1(U_8216)
| ~ v8_vectsp_1(U_8216)
| ~ v7_vectsp_1(U_8216)
| ~ v6_vectsp_1(U_8216)
| ~ v4_group_1(U_8216)
| ~ v6_rlvect_1(U_8216)
| ~ v5_rlvect_1(U_8216)
| ~ v4_rlvect_1(U_8216)
| ~ v3_rlvect_1(U_8216)
| v3_struct_0(U_8216) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1460])],[f_3264_2]) ).
cnf(f_3264_4,plain,
( sP1460(U_8214,U_8216,U_8215)
| ~ m1_rmod_2(U_8214,U_8216,U_8215)
| ~ l1_vectsp_2(U_8215,U_8216)
| ~ v5_vectsp_2(U_8215,U_8216)
| ~ v6_rlvect_1(U_8215)
| ~ v5_rlvect_1(U_8215)
| ~ v4_rlvect_1(U_8215)
| ~ v3_rlvect_1(U_8215)
| v3_struct_0(U_8215)
| ~ l3_vectsp_1(U_8216)
| ~ v8_vectsp_1(U_8216)
| ~ v7_vectsp_1(U_8216)
| ~ v6_vectsp_1(U_8216)
| ~ v4_group_1(U_8216)
| ~ v6_rlvect_1(U_8216)
| ~ v5_rlvect_1(U_8216)
| ~ v4_rlvect_1(U_8216)
| ~ v3_rlvect_1(U_8216)
| v3_struct_0(U_8216) ),
inference(clausify,[status(thm)],[f_3264_3]) ).
cnf(f_3264_5,plain,
( k1_rmod_3(U_8216,U_8215,k2_rmod_2(U_8216,U_8215),U_8214) = g1_vectsp_2(U_8216,u1_struct_0(U_8215),u1_rlvect_1(U_8215),u2_struct_0(U_8215),u1_vectsp_2(U_8216,U_8215))
| ~ sP1460(U_8214,U_8216,U_8215) ),
inference(clausify,[status(thm)],[f_3264_3]) ).
cnf(f_3264_6,plain,
( k1_rmod_3(U_8216,U_8215,U_8214,k2_rmod_2(U_8216,U_8215)) = g1_vectsp_2(U_8216,u1_struct_0(U_8215),u1_rlvect_1(U_8215),u2_struct_0(U_8215),u1_vectsp_2(U_8216,U_8215))
| ~ sP1460(U_8214,U_8216,U_8215) ),
inference(clausify,[status(thm)],[f_3264_3]) ).
fof(f_3265_1,plain,
! [A] :
( ! [B] :
( k1_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t16_rmod_3]) ).
fof(f_3265_2,plain,
! [U_8218] :
( ! [U_8217] :
( k1_rmod_3(U_8218,U_8217,k2_rmod_2(U_8218,U_8217),k2_rmod_2(U_8218,U_8217)) = U_8217
| ~ l1_vectsp_2(U_8217,U_8218)
| ~ v5_vectsp_2(U_8217,U_8218)
| ~ v3_vectsp_2(U_8217,U_8218)
| ~ v6_rlvect_1(U_8217)
| ~ v5_rlvect_1(U_8217)
| ~ v4_rlvect_1(U_8217)
| ~ v3_rlvect_1(U_8217)
| v3_struct_0(U_8217) )
| ~ l3_vectsp_1(U_8218)
| ~ v8_vectsp_1(U_8218)
| ~ v7_vectsp_1(U_8218)
| ~ v6_vectsp_1(U_8218)
| ~ v4_group_1(U_8218)
| ~ v6_rlvect_1(U_8218)
| ~ v5_rlvect_1(U_8218)
| ~ v4_rlvect_1(U_8218)
| ~ v3_rlvect_1(U_8218)
| v3_struct_0(U_8218) ),
inference(variable_rename,[status(thm)],[f_3265_1]) ).
fof(f_3265_3,plain,
! [U_8217,U_8218] :
( k1_rmod_3(U_8218,U_8217,k2_rmod_2(U_8218,U_8217),k2_rmod_2(U_8218,U_8217)) = U_8217
| ~ l1_vectsp_2(U_8217,U_8218)
| ~ v5_vectsp_2(U_8217,U_8218)
| ~ v3_vectsp_2(U_8217,U_8218)
| ~ v6_rlvect_1(U_8217)
| ~ v5_rlvect_1(U_8217)
| ~ v4_rlvect_1(U_8217)
| ~ v3_rlvect_1(U_8217)
| v3_struct_0(U_8217)
| ~ l3_vectsp_1(U_8218)
| ~ v8_vectsp_1(U_8218)
| ~ v7_vectsp_1(U_8218)
| ~ v6_vectsp_1(U_8218)
| ~ v4_group_1(U_8218)
| ~ v6_rlvect_1(U_8218)
| ~ v5_rlvect_1(U_8218)
| ~ v4_rlvect_1(U_8218)
| ~ v3_rlvect_1(U_8218)
| v3_struct_0(U_8218) ),
inference(definitional_conversion,[status(esa)],[f_3265_2]) ).
cnf(f_3265_4,plain,
( k1_rmod_3(U_8218,U_8217,k2_rmod_2(U_8218,U_8217),k2_rmod_2(U_8218,U_8217)) = U_8217
| ~ l1_vectsp_2(U_8217,U_8218)
| ~ v5_vectsp_2(U_8217,U_8218)
| ~ v3_vectsp_2(U_8217,U_8218)
| ~ v6_rlvect_1(U_8217)
| ~ v5_rlvect_1(U_8217)
| ~ v4_rlvect_1(U_8217)
| ~ v3_rlvect_1(U_8217)
| v3_struct_0(U_8217)
| ~ l3_vectsp_1(U_8218)
| ~ v8_vectsp_1(U_8218)
| ~ v7_vectsp_1(U_8218)
| ~ v6_vectsp_1(U_8218)
| ~ v4_group_1(U_8218)
| ~ v6_rlvect_1(U_8218)
| ~ v5_rlvect_1(U_8218)
| ~ v4_rlvect_1(U_8218)
| ~ v3_rlvect_1(U_8218)
| v3_struct_0(U_8218) ),
inference(clausify,[status(thm)],[f_3265_3]) ).
fof(f_3266_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_rmod_3(A,B,C,C) = C
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t17_rmod_3]) ).
fof(f_3266_2,plain,
! [U_8221] :
( ! [U_8220] :
( ! [U_8219] :
( k2_rmod_3(U_8221,U_8220,U_8219,U_8219) = U_8219
| ~ m1_rmod_2(U_8219,U_8221,U_8220)
| ~ v3_vectsp_2(U_8219,U_8221) )
| ~ l1_vectsp_2(U_8220,U_8221)
| ~ v5_vectsp_2(U_8220,U_8221)
| ~ v6_rlvect_1(U_8220)
| ~ v5_rlvect_1(U_8220)
| ~ v4_rlvect_1(U_8220)
| ~ v3_rlvect_1(U_8220)
| v3_struct_0(U_8220) )
| ~ l3_vectsp_1(U_8221)
| ~ v8_vectsp_1(U_8221)
| ~ v7_vectsp_1(U_8221)
| ~ v6_vectsp_1(U_8221)
| ~ v4_group_1(U_8221)
| ~ v6_rlvect_1(U_8221)
| ~ v5_rlvect_1(U_8221)
| ~ v4_rlvect_1(U_8221)
| ~ v3_rlvect_1(U_8221)
| v3_struct_0(U_8221) ),
inference(variable_rename,[status(thm)],[f_3266_1]) ).
fof(f_3266_3,plain,
! [U_8220,U_8221,U_8219] :
( k2_rmod_3(U_8221,U_8220,U_8219,U_8219) = U_8219
| ~ m1_rmod_2(U_8219,U_8221,U_8220)
| ~ v3_vectsp_2(U_8219,U_8221)
| ~ l1_vectsp_2(U_8220,U_8221)
| ~ v5_vectsp_2(U_8220,U_8221)
| ~ v6_rlvect_1(U_8220)
| ~ v5_rlvect_1(U_8220)
| ~ v4_rlvect_1(U_8220)
| ~ v3_rlvect_1(U_8220)
| v3_struct_0(U_8220)
| ~ l3_vectsp_1(U_8221)
| ~ v8_vectsp_1(U_8221)
| ~ v7_vectsp_1(U_8221)
| ~ v6_vectsp_1(U_8221)
| ~ v4_group_1(U_8221)
| ~ v6_rlvect_1(U_8221)
| ~ v5_rlvect_1(U_8221)
| ~ v4_rlvect_1(U_8221)
| ~ v3_rlvect_1(U_8221)
| v3_struct_0(U_8221) ),
inference(definitional_conversion,[status(esa)],[f_3266_2]) ).
cnf(f_3266_4,plain,
( k2_rmod_3(U_8221,U_8220,U_8219,U_8219) = U_8219
| ~ m1_rmod_2(U_8219,U_8221,U_8220)
| ~ v3_vectsp_2(U_8219,U_8221)
| ~ l1_vectsp_2(U_8220,U_8221)
| ~ v5_vectsp_2(U_8220,U_8221)
| ~ v6_rlvect_1(U_8220)
| ~ v5_rlvect_1(U_8220)
| ~ v4_rlvect_1(U_8220)
| ~ v3_rlvect_1(U_8220)
| v3_struct_0(U_8220)
| ~ l3_vectsp_1(U_8221)
| ~ v8_vectsp_1(U_8221)
| ~ v7_vectsp_1(U_8221)
| ~ v6_vectsp_1(U_8221)
| ~ v4_group_1(U_8221)
| ~ v6_rlvect_1(U_8221)
| ~ v5_rlvect_1(U_8221)
| ~ v4_rlvect_1(U_8221)
| ~ v3_rlvect_1(U_8221)
| v3_struct_0(U_8221) ),
inference(clausify,[status(thm)],[f_3266_3]) ).
fof(f_3267_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k2_rmod_3(A,B,C,D) = k2_rmod_3(A,B,D,C)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t18_rmod_3]) ).
fof(f_3267_2,plain,
! [U_8225] :
( ! [U_8224] :
( ! [U_8223] :
( ! [U_8222] :
( k2_rmod_3(U_8225,U_8224,U_8223,U_8222) = k2_rmod_3(U_8225,U_8224,U_8222,U_8223)
| ~ m1_rmod_2(U_8222,U_8225,U_8224) )
| ~ m1_rmod_2(U_8223,U_8225,U_8224) )
| ~ l1_vectsp_2(U_8224,U_8225)
| ~ v5_vectsp_2(U_8224,U_8225)
| ~ v6_rlvect_1(U_8224)
| ~ v5_rlvect_1(U_8224)
| ~ v4_rlvect_1(U_8224)
| ~ v3_rlvect_1(U_8224)
| v3_struct_0(U_8224) )
| ~ l3_vectsp_1(U_8225)
| ~ v8_vectsp_1(U_8225)
| ~ v7_vectsp_1(U_8225)
| ~ v6_vectsp_1(U_8225)
| ~ v4_group_1(U_8225)
| ~ v6_rlvect_1(U_8225)
| ~ v5_rlvect_1(U_8225)
| ~ v4_rlvect_1(U_8225)
| ~ v3_rlvect_1(U_8225)
| v3_struct_0(U_8225) ),
inference(variable_rename,[status(thm)],[f_3267_1]) ).
fof(f_3267_3,plain,
! [U_8225,U_8224,U_8223,U_8222] :
( k2_rmod_3(U_8225,U_8224,U_8223,U_8222) = k2_rmod_3(U_8225,U_8224,U_8222,U_8223)
| ~ m1_rmod_2(U_8222,U_8225,U_8224)
| ~ m1_rmod_2(U_8223,U_8225,U_8224)
| ~ l1_vectsp_2(U_8224,U_8225)
| ~ v5_vectsp_2(U_8224,U_8225)
| ~ v6_rlvect_1(U_8224)
| ~ v5_rlvect_1(U_8224)
| ~ v4_rlvect_1(U_8224)
| ~ v3_rlvect_1(U_8224)
| v3_struct_0(U_8224)
| ~ l3_vectsp_1(U_8225)
| ~ v8_vectsp_1(U_8225)
| ~ v7_vectsp_1(U_8225)
| ~ v6_vectsp_1(U_8225)
| ~ v4_group_1(U_8225)
| ~ v6_rlvect_1(U_8225)
| ~ v5_rlvect_1(U_8225)
| ~ v4_rlvect_1(U_8225)
| ~ v3_rlvect_1(U_8225)
| v3_struct_0(U_8225) ),
inference(definitional_conversion,[status(esa)],[f_3267_2]) ).
cnf(f_3267_4,plain,
( k2_rmod_3(U_8225,U_8224,U_8223,U_8222) = k2_rmod_3(U_8225,U_8224,U_8222,U_8223)
| ~ m1_rmod_2(U_8222,U_8225,U_8224)
| ~ m1_rmod_2(U_8223,U_8225,U_8224)
| ~ l1_vectsp_2(U_8224,U_8225)
| ~ v5_vectsp_2(U_8224,U_8225)
| ~ v6_rlvect_1(U_8224)
| ~ v5_rlvect_1(U_8224)
| ~ v4_rlvect_1(U_8224)
| ~ v3_rlvect_1(U_8224)
| v3_struct_0(U_8224)
| ~ l3_vectsp_1(U_8225)
| ~ v8_vectsp_1(U_8225)
| ~ v7_vectsp_1(U_8225)
| ~ v6_vectsp_1(U_8225)
| ~ v4_group_1(U_8225)
| ~ v6_rlvect_1(U_8225)
| ~ v5_rlvect_1(U_8225)
| ~ v4_rlvect_1(U_8225)
| ~ v3_rlvect_1(U_8225)
| v3_struct_0(U_8225) ),
inference(clausify,[status(thm)],[f_3267_3]) ).
fof(f_3268_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k2_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)) = k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_rmod_3]) ).
fof(f_3268_2,plain,
! [U_8230] :
( ! [U_8229] :
( ! [U_8228] :
( ! [U_8227] :
( ! [U_8226] :
( k2_rmod_3(U_8230,U_8229,U_8228,k2_rmod_3(U_8230,U_8229,U_8227,U_8226)) = k2_rmod_3(U_8230,U_8229,k2_rmod_3(U_8230,U_8229,U_8228,U_8227),U_8226)
| ~ m1_rmod_2(U_8226,U_8230,U_8229) )
| ~ m1_rmod_2(U_8227,U_8230,U_8229) )
| ~ m1_rmod_2(U_8228,U_8230,U_8229) )
| ~ l1_vectsp_2(U_8229,U_8230)
| ~ v5_vectsp_2(U_8229,U_8230)
| ~ v6_rlvect_1(U_8229)
| ~ v5_rlvect_1(U_8229)
| ~ v4_rlvect_1(U_8229)
| ~ v3_rlvect_1(U_8229)
| v3_struct_0(U_8229) )
| ~ l3_vectsp_1(U_8230)
| ~ v8_vectsp_1(U_8230)
| ~ v7_vectsp_1(U_8230)
| ~ v6_vectsp_1(U_8230)
| ~ v4_group_1(U_8230)
| ~ v6_rlvect_1(U_8230)
| ~ v5_rlvect_1(U_8230)
| ~ v4_rlvect_1(U_8230)
| ~ v3_rlvect_1(U_8230)
| v3_struct_0(U_8230) ),
inference(variable_rename,[status(thm)],[f_3268_1]) ).
fof(f_3268_3,plain,
! [U_8230,U_8226,U_8227,U_8228,U_8229] :
( k2_rmod_3(U_8230,U_8229,U_8228,k2_rmod_3(U_8230,U_8229,U_8227,U_8226)) = k2_rmod_3(U_8230,U_8229,k2_rmod_3(U_8230,U_8229,U_8228,U_8227),U_8226)
| ~ m1_rmod_2(U_8226,U_8230,U_8229)
| ~ m1_rmod_2(U_8227,U_8230,U_8229)
| ~ m1_rmod_2(U_8228,U_8230,U_8229)
| ~ l1_vectsp_2(U_8229,U_8230)
| ~ v5_vectsp_2(U_8229,U_8230)
| ~ v6_rlvect_1(U_8229)
| ~ v5_rlvect_1(U_8229)
| ~ v4_rlvect_1(U_8229)
| ~ v3_rlvect_1(U_8229)
| v3_struct_0(U_8229)
| ~ l3_vectsp_1(U_8230)
| ~ v8_vectsp_1(U_8230)
| ~ v7_vectsp_1(U_8230)
| ~ v6_vectsp_1(U_8230)
| ~ v4_group_1(U_8230)
| ~ v6_rlvect_1(U_8230)
| ~ v5_rlvect_1(U_8230)
| ~ v4_rlvect_1(U_8230)
| ~ v3_rlvect_1(U_8230)
| v3_struct_0(U_8230) ),
inference(definitional_conversion,[status(esa)],[f_3268_2]) ).
cnf(f_3268_4,plain,
( k2_rmod_3(U_8230,U_8229,U_8228,k2_rmod_3(U_8230,U_8229,U_8227,U_8226)) = k2_rmod_3(U_8230,U_8229,k2_rmod_3(U_8230,U_8229,U_8228,U_8227),U_8226)
| ~ m1_rmod_2(U_8226,U_8230,U_8229)
| ~ m1_rmod_2(U_8227,U_8230,U_8229)
| ~ m1_rmod_2(U_8228,U_8230,U_8229)
| ~ l1_vectsp_2(U_8229,U_8230)
| ~ v5_vectsp_2(U_8229,U_8230)
| ~ v6_rlvect_1(U_8229)
| ~ v5_rlvect_1(U_8229)
| ~ v4_rlvect_1(U_8229)
| ~ v3_rlvect_1(U_8229)
| v3_struct_0(U_8229)
| ~ l3_vectsp_1(U_8230)
| ~ v8_vectsp_1(U_8230)
| ~ v7_vectsp_1(U_8230)
| ~ v6_vectsp_1(U_8230)
| ~ v4_group_1(U_8230)
| ~ v6_rlvect_1(U_8230)
| ~ v5_rlvect_1(U_8230)
| ~ v4_rlvect_1(U_8230)
| ~ v3_rlvect_1(U_8230)
| v3_struct_0(U_8230) ),
inference(clausify,[status(thm)],[f_3268_3]) ).
fof(f_3269_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( m1_rmod_2(k2_rmod_3(A,B,C,D),A,D)
& m1_rmod_2(k2_rmod_3(A,B,C,D),A,C) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_rmod_3]) ).
fof(f_3269_2,plain,
! [U_8234] :
( ! [U_8233] :
( ! [U_8232] :
( ! [U_8231] :
( ( m1_rmod_2(k2_rmod_3(U_8234,U_8233,U_8232,U_8231),U_8234,U_8231)
& m1_rmod_2(k2_rmod_3(U_8234,U_8233,U_8232,U_8231),U_8234,U_8232) )
| ~ m1_rmod_2(U_8231,U_8234,U_8233) )
| ~ m1_rmod_2(U_8232,U_8234,U_8233) )
| ~ l1_vectsp_2(U_8233,U_8234)
| ~ v5_vectsp_2(U_8233,U_8234)
| ~ v6_rlvect_1(U_8233)
| ~ v5_rlvect_1(U_8233)
| ~ v4_rlvect_1(U_8233)
| ~ v3_rlvect_1(U_8233)
| v3_struct_0(U_8233) )
| ~ l3_vectsp_1(U_8234)
| ~ v8_vectsp_1(U_8234)
| ~ v7_vectsp_1(U_8234)
| ~ v6_vectsp_1(U_8234)
| ~ v4_group_1(U_8234)
| ~ v6_rlvect_1(U_8234)
| ~ v5_rlvect_1(U_8234)
| ~ v4_rlvect_1(U_8234)
| ~ v3_rlvect_1(U_8234)
| v3_struct_0(U_8234) ),
inference(variable_rename,[status(thm)],[f_3269_1]) ).
fof(f_3269_3,plain,
( ! [U_8234,U_8232,U_8231,U_8233] :
( m1_rmod_2(k2_rmod_3(U_8234,U_8233,U_8232,U_8231),U_8234,U_8231)
| ~ sP1461(U_8234,U_8232,U_8231,U_8233) )
& ! [U_8234,U_8232,U_8231,U_8233] :
( m1_rmod_2(k2_rmod_3(U_8234,U_8233,U_8232,U_8231),U_8234,U_8232)
| ~ sP1461(U_8234,U_8232,U_8231,U_8233) )
& ! [U_8234,U_8232,U_8231,U_8233] :
( sP1461(U_8234,U_8232,U_8231,U_8233)
| ~ m1_rmod_2(U_8231,U_8234,U_8233)
| ~ m1_rmod_2(U_8232,U_8234,U_8233)
| ~ l1_vectsp_2(U_8233,U_8234)
| ~ v5_vectsp_2(U_8233,U_8234)
| ~ v6_rlvect_1(U_8233)
| ~ v5_rlvect_1(U_8233)
| ~ v4_rlvect_1(U_8233)
| ~ v3_rlvect_1(U_8233)
| v3_struct_0(U_8233)
| ~ l3_vectsp_1(U_8234)
| ~ v8_vectsp_1(U_8234)
| ~ v7_vectsp_1(U_8234)
| ~ v6_vectsp_1(U_8234)
| ~ v4_group_1(U_8234)
| ~ v6_rlvect_1(U_8234)
| ~ v5_rlvect_1(U_8234)
| ~ v4_rlvect_1(U_8234)
| ~ v3_rlvect_1(U_8234)
| v3_struct_0(U_8234) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1461])],[f_3269_2]) ).
cnf(f_3269_4,plain,
( sP1461(U_8234,U_8232,U_8231,U_8233)
| ~ m1_rmod_2(U_8231,U_8234,U_8233)
| ~ m1_rmod_2(U_8232,U_8234,U_8233)
| ~ l1_vectsp_2(U_8233,U_8234)
| ~ v5_vectsp_2(U_8233,U_8234)
| ~ v6_rlvect_1(U_8233)
| ~ v5_rlvect_1(U_8233)
| ~ v4_rlvect_1(U_8233)
| ~ v3_rlvect_1(U_8233)
| v3_struct_0(U_8233)
| ~ l3_vectsp_1(U_8234)
| ~ v8_vectsp_1(U_8234)
| ~ v7_vectsp_1(U_8234)
| ~ v6_vectsp_1(U_8234)
| ~ v4_group_1(U_8234)
| ~ v6_rlvect_1(U_8234)
| ~ v5_rlvect_1(U_8234)
| ~ v4_rlvect_1(U_8234)
| ~ v3_rlvect_1(U_8234)
| v3_struct_0(U_8234) ),
inference(clausify,[status(thm)],[f_3269_3]) ).
cnf(f_3269_5,plain,
( m1_rmod_2(k2_rmod_3(U_8234,U_8233,U_8232,U_8231),U_8234,U_8232)
| ~ sP1461(U_8234,U_8232,U_8231,U_8233) ),
inference(clausify,[status(thm)],[f_3269_3]) ).
cnf(f_3269_6,plain,
( m1_rmod_2(k2_rmod_3(U_8234,U_8233,U_8232,U_8231),U_8234,U_8231)
| ~ sP1461(U_8234,U_8232,U_8231,U_8233) ),
inference(clausify,[status(thm)],[f_3269_3]) ).
fof(f_3270_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ! [D] :
( m1_rmod_2(D,A,C)
| k2_rmod_3(A,B,D,C) != D
| ~ m1_rmod_2(D,A,B) )
& ! [D] :
( k2_rmod_3(A,B,D,C) = D
| ~ m1_rmod_2(D,A,C)
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) ) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t21_rmod_3]) ).
fof(f_3270_2,plain,
! [U_8239] :
( ! [U_8238] :
( ! [U_8237] :
( ( ! [U_8236] :
( m1_rmod_2(U_8236,U_8239,U_8237)
| k2_rmod_3(U_8239,U_8238,U_8236,U_8237) != U_8236
| ~ m1_rmod_2(U_8236,U_8239,U_8238) )
& ! [U_8235] :
( k2_rmod_3(U_8239,U_8238,U_8235,U_8237) = U_8235
| ~ m1_rmod_2(U_8235,U_8239,U_8237)
| ~ m1_rmod_2(U_8235,U_8239,U_8238)
| ~ v3_vectsp_2(U_8235,U_8239) ) )
| ~ m1_rmod_2(U_8237,U_8239,U_8238) )
| ~ l1_vectsp_2(U_8238,U_8239)
| ~ v5_vectsp_2(U_8238,U_8239)
| ~ v6_rlvect_1(U_8238)
| ~ v5_rlvect_1(U_8238)
| ~ v4_rlvect_1(U_8238)
| ~ v3_rlvect_1(U_8238)
| v3_struct_0(U_8238) )
| ~ l3_vectsp_1(U_8239)
| ~ v8_vectsp_1(U_8239)
| ~ v7_vectsp_1(U_8239)
| ~ v6_vectsp_1(U_8239)
| ~ v4_group_1(U_8239)
| ~ v6_rlvect_1(U_8239)
| ~ v5_rlvect_1(U_8239)
| ~ v4_rlvect_1(U_8239)
| ~ v3_rlvect_1(U_8239)
| v3_struct_0(U_8239) ),
inference(variable_rename,[status(thm)],[f_3270_1]) ).
fof(f_3270_3,plain,
( ! [U_8237,U_8239,U_8238,U_8235,U_8236] :
( m1_rmod_2(U_8236,U_8239,U_8237)
| k2_rmod_3(U_8239,U_8238,U_8236,U_8237) != U_8236
| ~ m1_rmod_2(U_8236,U_8239,U_8238)
| ~ sP1462(U_8237,U_8239,U_8238,U_8235,U_8236) )
& ! [U_8237,U_8239,U_8238,U_8235,U_8236] :
( k2_rmod_3(U_8239,U_8238,U_8235,U_8237) = U_8235
| ~ m1_rmod_2(U_8235,U_8239,U_8237)
| ~ m1_rmod_2(U_8235,U_8239,U_8238)
| ~ v3_vectsp_2(U_8235,U_8239)
| ~ sP1462(U_8237,U_8239,U_8238,U_8235,U_8236) )
& ! [U_8237,U_8239,U_8238,U_8235,U_8236] :
( sP1462(U_8237,U_8239,U_8238,U_8235,U_8236)
| ~ m1_rmod_2(U_8237,U_8239,U_8238)
| ~ l1_vectsp_2(U_8238,U_8239)
| ~ v5_vectsp_2(U_8238,U_8239)
| ~ v6_rlvect_1(U_8238)
| ~ v5_rlvect_1(U_8238)
| ~ v4_rlvect_1(U_8238)
| ~ v3_rlvect_1(U_8238)
| v3_struct_0(U_8238)
| ~ l3_vectsp_1(U_8239)
| ~ v8_vectsp_1(U_8239)
| ~ v7_vectsp_1(U_8239)
| ~ v6_vectsp_1(U_8239)
| ~ v4_group_1(U_8239)
| ~ v6_rlvect_1(U_8239)
| ~ v5_rlvect_1(U_8239)
| ~ v4_rlvect_1(U_8239)
| ~ v3_rlvect_1(U_8239)
| v3_struct_0(U_8239) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1462])],[f_3270_2]) ).
cnf(f_3270_4,plain,
( sP1462(U_8237,U_8239,U_8238,U_8235,U_8236)
| ~ m1_rmod_2(U_8237,U_8239,U_8238)
| ~ l1_vectsp_2(U_8238,U_8239)
| ~ v5_vectsp_2(U_8238,U_8239)
| ~ v6_rlvect_1(U_8238)
| ~ v5_rlvect_1(U_8238)
| ~ v4_rlvect_1(U_8238)
| ~ v3_rlvect_1(U_8238)
| v3_struct_0(U_8238)
| ~ l3_vectsp_1(U_8239)
| ~ v8_vectsp_1(U_8239)
| ~ v7_vectsp_1(U_8239)
| ~ v6_vectsp_1(U_8239)
| ~ v4_group_1(U_8239)
| ~ v6_rlvect_1(U_8239)
| ~ v5_rlvect_1(U_8239)
| ~ v4_rlvect_1(U_8239)
| ~ v3_rlvect_1(U_8239)
| v3_struct_0(U_8239) ),
inference(clausify,[status(thm)],[f_3270_3]) ).
cnf(f_3270_5,plain,
( k2_rmod_3(U_8239,U_8238,U_8235,U_8237) = U_8235
| ~ m1_rmod_2(U_8235,U_8239,U_8237)
| ~ m1_rmod_2(U_8235,U_8239,U_8238)
| ~ v3_vectsp_2(U_8235,U_8239)
| ~ sP1462(U_8237,U_8239,U_8238,U_8235,U_8236) ),
inference(clausify,[status(thm)],[f_3270_3]) ).
cnf(f_3270_6,plain,
( m1_rmod_2(U_8236,U_8239,U_8237)
| k2_rmod_3(U_8239,U_8238,U_8236,U_8237) != U_8236
| ~ m1_rmod_2(U_8236,U_8239,U_8238)
| ~ sP1462(U_8237,U_8239,U_8238,U_8235,U_8236) ),
inference(clausify,[status(thm)],[f_3270_3]) ).
fof(f_3271_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(k2_rmod_3(A,B,C,E),A,k2_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_rmod_3]) ).
fof(f_3271_2,plain,
! [U_8244] :
( ! [U_8243] :
( ! [U_8242] :
( ! [U_8241] :
( ! [U_8240] :
( m1_rmod_2(k2_rmod_3(U_8244,U_8243,U_8242,U_8240),U_8244,k2_rmod_3(U_8244,U_8243,U_8241,U_8240))
| ~ m1_rmod_2(U_8242,U_8244,U_8241)
| ~ m1_rmod_2(U_8240,U_8244,U_8243) )
| ~ m1_rmod_2(U_8241,U_8244,U_8243) )
| ~ m1_rmod_2(U_8242,U_8244,U_8243) )
| ~ l1_vectsp_2(U_8243,U_8244)
| ~ v5_vectsp_2(U_8243,U_8244)
| ~ v6_rlvect_1(U_8243)
| ~ v5_rlvect_1(U_8243)
| ~ v4_rlvect_1(U_8243)
| ~ v3_rlvect_1(U_8243)
| v3_struct_0(U_8243) )
| ~ l3_vectsp_1(U_8244)
| ~ v8_vectsp_1(U_8244)
| ~ v7_vectsp_1(U_8244)
| ~ v6_vectsp_1(U_8244)
| ~ v4_group_1(U_8244)
| ~ v6_rlvect_1(U_8244)
| ~ v5_rlvect_1(U_8244)
| ~ v4_rlvect_1(U_8244)
| ~ v3_rlvect_1(U_8244)
| v3_struct_0(U_8244) ),
inference(variable_rename,[status(thm)],[f_3271_1]) ).
fof(f_3271_3,plain,
! [U_8243,U_8244,U_8241,U_8242,U_8240] :
( m1_rmod_2(k2_rmod_3(U_8244,U_8243,U_8242,U_8240),U_8244,k2_rmod_3(U_8244,U_8243,U_8241,U_8240))
| ~ m1_rmod_2(U_8242,U_8244,U_8241)
| ~ m1_rmod_2(U_8240,U_8244,U_8243)
| ~ m1_rmod_2(U_8241,U_8244,U_8243)
| ~ m1_rmod_2(U_8242,U_8244,U_8243)
| ~ l1_vectsp_2(U_8243,U_8244)
| ~ v5_vectsp_2(U_8243,U_8244)
| ~ v6_rlvect_1(U_8243)
| ~ v5_rlvect_1(U_8243)
| ~ v4_rlvect_1(U_8243)
| ~ v3_rlvect_1(U_8243)
| v3_struct_0(U_8243)
| ~ l3_vectsp_1(U_8244)
| ~ v8_vectsp_1(U_8244)
| ~ v7_vectsp_1(U_8244)
| ~ v6_vectsp_1(U_8244)
| ~ v4_group_1(U_8244)
| ~ v6_rlvect_1(U_8244)
| ~ v5_rlvect_1(U_8244)
| ~ v4_rlvect_1(U_8244)
| ~ v3_rlvect_1(U_8244)
| v3_struct_0(U_8244) ),
inference(definitional_conversion,[status(esa)],[f_3271_2]) ).
cnf(f_3271_4,plain,
( m1_rmod_2(k2_rmod_3(U_8244,U_8243,U_8242,U_8240),U_8244,k2_rmod_3(U_8244,U_8243,U_8241,U_8240))
| ~ m1_rmod_2(U_8242,U_8244,U_8241)
| ~ m1_rmod_2(U_8240,U_8244,U_8243)
| ~ m1_rmod_2(U_8241,U_8244,U_8243)
| ~ m1_rmod_2(U_8242,U_8244,U_8243)
| ~ l1_vectsp_2(U_8243,U_8244)
| ~ v5_vectsp_2(U_8243,U_8244)
| ~ v6_rlvect_1(U_8243)
| ~ v5_rlvect_1(U_8243)
| ~ v4_rlvect_1(U_8243)
| ~ v3_rlvect_1(U_8243)
| v3_struct_0(U_8243)
| ~ l3_vectsp_1(U_8244)
| ~ v8_vectsp_1(U_8244)
| ~ v7_vectsp_1(U_8244)
| ~ v6_vectsp_1(U_8244)
| ~ v4_group_1(U_8244)
| ~ v6_rlvect_1(U_8244)
| ~ v5_rlvect_1(U_8244)
| ~ v4_rlvect_1(U_8244)
| ~ v3_rlvect_1(U_8244)
| v3_struct_0(U_8244) ),
inference(clausify,[status(thm)],[f_3271_3]) ).
fof(f_3272_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(k2_rmod_3(A,B,C,E),A,D)
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t23_rmod_3]) ).
fof(f_3272_2,plain,
! [U_8249] :
( ! [U_8248] :
( ! [U_8247] :
( ! [U_8246] :
( ! [U_8245] :
( m1_rmod_2(k2_rmod_3(U_8249,U_8248,U_8247,U_8245),U_8249,U_8246)
| ~ m1_rmod_2(U_8247,U_8249,U_8246)
| ~ m1_rmod_2(U_8245,U_8249,U_8248) )
| ~ m1_rmod_2(U_8246,U_8249,U_8248) )
| ~ m1_rmod_2(U_8247,U_8249,U_8248) )
| ~ l1_vectsp_2(U_8248,U_8249)
| ~ v5_vectsp_2(U_8248,U_8249)
| ~ v6_rlvect_1(U_8248)
| ~ v5_rlvect_1(U_8248)
| ~ v4_rlvect_1(U_8248)
| ~ v3_rlvect_1(U_8248)
| v3_struct_0(U_8248) )
| ~ l3_vectsp_1(U_8249)
| ~ v8_vectsp_1(U_8249)
| ~ v7_vectsp_1(U_8249)
| ~ v6_vectsp_1(U_8249)
| ~ v4_group_1(U_8249)
| ~ v6_rlvect_1(U_8249)
| ~ v5_rlvect_1(U_8249)
| ~ v4_rlvect_1(U_8249)
| ~ v3_rlvect_1(U_8249)
| v3_struct_0(U_8249) ),
inference(variable_rename,[status(thm)],[f_3272_1]) ).
fof(f_3272_3,plain,
! [U_8248,U_8246,U_8249,U_8245,U_8247] :
( m1_rmod_2(k2_rmod_3(U_8249,U_8248,U_8247,U_8245),U_8249,U_8246)
| ~ m1_rmod_2(U_8247,U_8249,U_8246)
| ~ m1_rmod_2(U_8245,U_8249,U_8248)
| ~ m1_rmod_2(U_8246,U_8249,U_8248)
| ~ m1_rmod_2(U_8247,U_8249,U_8248)
| ~ l1_vectsp_2(U_8248,U_8249)
| ~ v5_vectsp_2(U_8248,U_8249)
| ~ v6_rlvect_1(U_8248)
| ~ v5_rlvect_1(U_8248)
| ~ v4_rlvect_1(U_8248)
| ~ v3_rlvect_1(U_8248)
| v3_struct_0(U_8248)
| ~ l3_vectsp_1(U_8249)
| ~ v8_vectsp_1(U_8249)
| ~ v7_vectsp_1(U_8249)
| ~ v6_vectsp_1(U_8249)
| ~ v4_group_1(U_8249)
| ~ v6_rlvect_1(U_8249)
| ~ v5_rlvect_1(U_8249)
| ~ v4_rlvect_1(U_8249)
| ~ v3_rlvect_1(U_8249)
| v3_struct_0(U_8249) ),
inference(definitional_conversion,[status(esa)],[f_3272_2]) ).
cnf(f_3272_4,plain,
( m1_rmod_2(k2_rmod_3(U_8249,U_8248,U_8247,U_8245),U_8249,U_8246)
| ~ m1_rmod_2(U_8247,U_8249,U_8246)
| ~ m1_rmod_2(U_8245,U_8249,U_8248)
| ~ m1_rmod_2(U_8246,U_8249,U_8248)
| ~ m1_rmod_2(U_8247,U_8249,U_8248)
| ~ l1_vectsp_2(U_8248,U_8249)
| ~ v5_vectsp_2(U_8248,U_8249)
| ~ v6_rlvect_1(U_8248)
| ~ v5_rlvect_1(U_8248)
| ~ v4_rlvect_1(U_8248)
| ~ v3_rlvect_1(U_8248)
| v3_struct_0(U_8248)
| ~ l3_vectsp_1(U_8249)
| ~ v8_vectsp_1(U_8249)
| ~ v7_vectsp_1(U_8249)
| ~ v6_vectsp_1(U_8249)
| ~ v4_group_1(U_8249)
| ~ v6_rlvect_1(U_8249)
| ~ v5_rlvect_1(U_8249)
| ~ v4_rlvect_1(U_8249)
| ~ v3_rlvect_1(U_8249)
| v3_struct_0(U_8249) ),
inference(clausify,[status(thm)],[f_3272_3]) ).
fof(f_3273_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,E)
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t24_rmod_3]) ).
fof(f_3273_2,plain,
! [U_8254] :
( ! [U_8253] :
( ! [U_8252] :
( ! [U_8251] :
( ! [U_8250] :
( m1_rmod_2(U_8252,U_8254,k2_rmod_3(U_8254,U_8253,U_8251,U_8250))
| ~ m1_rmod_2(U_8252,U_8254,U_8250)
| ~ m1_rmod_2(U_8252,U_8254,U_8251)
| ~ m1_rmod_2(U_8250,U_8254,U_8253) )
| ~ m1_rmod_2(U_8251,U_8254,U_8253) )
| ~ m1_rmod_2(U_8252,U_8254,U_8253) )
| ~ l1_vectsp_2(U_8253,U_8254)
| ~ v5_vectsp_2(U_8253,U_8254)
| ~ v6_rlvect_1(U_8253)
| ~ v5_rlvect_1(U_8253)
| ~ v4_rlvect_1(U_8253)
| ~ v3_rlvect_1(U_8253)
| v3_struct_0(U_8253) )
| ~ l3_vectsp_1(U_8254)
| ~ v8_vectsp_1(U_8254)
| ~ v7_vectsp_1(U_8254)
| ~ v6_vectsp_1(U_8254)
| ~ v4_group_1(U_8254)
| ~ v6_rlvect_1(U_8254)
| ~ v5_rlvect_1(U_8254)
| ~ v4_rlvect_1(U_8254)
| ~ v3_rlvect_1(U_8254)
| v3_struct_0(U_8254) ),
inference(variable_rename,[status(thm)],[f_3273_1]) ).
fof(f_3273_3,plain,
! [U_8252,U_8253,U_8254,U_8250,U_8251] :
( m1_rmod_2(U_8252,U_8254,k2_rmod_3(U_8254,U_8253,U_8251,U_8250))
| ~ m1_rmod_2(U_8252,U_8254,U_8250)
| ~ m1_rmod_2(U_8252,U_8254,U_8251)
| ~ m1_rmod_2(U_8250,U_8254,U_8253)
| ~ m1_rmod_2(U_8251,U_8254,U_8253)
| ~ m1_rmod_2(U_8252,U_8254,U_8253)
| ~ l1_vectsp_2(U_8253,U_8254)
| ~ v5_vectsp_2(U_8253,U_8254)
| ~ v6_rlvect_1(U_8253)
| ~ v5_rlvect_1(U_8253)
| ~ v4_rlvect_1(U_8253)
| ~ v3_rlvect_1(U_8253)
| v3_struct_0(U_8253)
| ~ l3_vectsp_1(U_8254)
| ~ v8_vectsp_1(U_8254)
| ~ v7_vectsp_1(U_8254)
| ~ v6_vectsp_1(U_8254)
| ~ v4_group_1(U_8254)
| ~ v6_rlvect_1(U_8254)
| ~ v5_rlvect_1(U_8254)
| ~ v4_rlvect_1(U_8254)
| ~ v3_rlvect_1(U_8254)
| v3_struct_0(U_8254) ),
inference(definitional_conversion,[status(esa)],[f_3273_2]) ).
cnf(f_3273_4,plain,
( m1_rmod_2(U_8252,U_8254,k2_rmod_3(U_8254,U_8253,U_8251,U_8250))
| ~ m1_rmod_2(U_8252,U_8254,U_8250)
| ~ m1_rmod_2(U_8252,U_8254,U_8251)
| ~ m1_rmod_2(U_8250,U_8254,U_8253)
| ~ m1_rmod_2(U_8251,U_8254,U_8253)
| ~ m1_rmod_2(U_8252,U_8254,U_8253)
| ~ l1_vectsp_2(U_8253,U_8254)
| ~ v5_vectsp_2(U_8253,U_8254)
| ~ v6_rlvect_1(U_8253)
| ~ v5_rlvect_1(U_8253)
| ~ v4_rlvect_1(U_8253)
| ~ v3_rlvect_1(U_8253)
| v3_struct_0(U_8253)
| ~ l3_vectsp_1(U_8254)
| ~ v8_vectsp_1(U_8254)
| ~ v7_vectsp_1(U_8254)
| ~ v6_vectsp_1(U_8254)
| ~ v4_group_1(U_8254)
| ~ v6_rlvect_1(U_8254)
| ~ v5_rlvect_1(U_8254)
| ~ v4_rlvect_1(U_8254)
| ~ v3_rlvect_1(U_8254)
| v3_struct_0(U_8254) ),
inference(clausify,[status(thm)],[f_3273_3]) ).
fof(f_3274_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k2_rmod_3(A,B,C,k1_rmod_2(A,B)) = k1_rmod_2(A,B)
& k2_rmod_3(A,B,k1_rmod_2(A,B),C) = k1_rmod_2(A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_rmod_3]) ).
fof(f_3274_2,plain,
! [U_8257] :
( ! [U_8256] :
( ! [U_8255] :
( ( k2_rmod_3(U_8257,U_8256,U_8255,k1_rmod_2(U_8257,U_8256)) = k1_rmod_2(U_8257,U_8256)
& k2_rmod_3(U_8257,U_8256,k1_rmod_2(U_8257,U_8256),U_8255) = k1_rmod_2(U_8257,U_8256) )
| ~ m1_rmod_2(U_8255,U_8257,U_8256) )
| ~ l1_vectsp_2(U_8256,U_8257)
| ~ v5_vectsp_2(U_8256,U_8257)
| ~ v6_rlvect_1(U_8256)
| ~ v5_rlvect_1(U_8256)
| ~ v4_rlvect_1(U_8256)
| ~ v3_rlvect_1(U_8256)
| v3_struct_0(U_8256) )
| ~ l3_vectsp_1(U_8257)
| ~ v8_vectsp_1(U_8257)
| ~ v7_vectsp_1(U_8257)
| ~ v6_vectsp_1(U_8257)
| ~ v4_group_1(U_8257)
| ~ v6_rlvect_1(U_8257)
| ~ v5_rlvect_1(U_8257)
| ~ v4_rlvect_1(U_8257)
| ~ v3_rlvect_1(U_8257)
| v3_struct_0(U_8257) ),
inference(variable_rename,[status(thm)],[f_3274_1]) ).
fof(f_3274_3,plain,
( ! [U_8257,U_8256,U_8255] :
( k2_rmod_3(U_8257,U_8256,U_8255,k1_rmod_2(U_8257,U_8256)) = k1_rmod_2(U_8257,U_8256)
| ~ sP1463(U_8257,U_8256,U_8255) )
& ! [U_8257,U_8256,U_8255] :
( k2_rmod_3(U_8257,U_8256,k1_rmod_2(U_8257,U_8256),U_8255) = k1_rmod_2(U_8257,U_8256)
| ~ sP1463(U_8257,U_8256,U_8255) )
& ! [U_8257,U_8256,U_8255] :
( sP1463(U_8257,U_8256,U_8255)
| ~ m1_rmod_2(U_8255,U_8257,U_8256)
| ~ l1_vectsp_2(U_8256,U_8257)
| ~ v5_vectsp_2(U_8256,U_8257)
| ~ v6_rlvect_1(U_8256)
| ~ v5_rlvect_1(U_8256)
| ~ v4_rlvect_1(U_8256)
| ~ v3_rlvect_1(U_8256)
| v3_struct_0(U_8256)
| ~ l3_vectsp_1(U_8257)
| ~ v8_vectsp_1(U_8257)
| ~ v7_vectsp_1(U_8257)
| ~ v6_vectsp_1(U_8257)
| ~ v4_group_1(U_8257)
| ~ v6_rlvect_1(U_8257)
| ~ v5_rlvect_1(U_8257)
| ~ v4_rlvect_1(U_8257)
| ~ v3_rlvect_1(U_8257)
| v3_struct_0(U_8257) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1463])],[f_3274_2]) ).
cnf(f_3274_4,plain,
( sP1463(U_8257,U_8256,U_8255)
| ~ m1_rmod_2(U_8255,U_8257,U_8256)
| ~ l1_vectsp_2(U_8256,U_8257)
| ~ v5_vectsp_2(U_8256,U_8257)
| ~ v6_rlvect_1(U_8256)
| ~ v5_rlvect_1(U_8256)
| ~ v4_rlvect_1(U_8256)
| ~ v3_rlvect_1(U_8256)
| v3_struct_0(U_8256)
| ~ l3_vectsp_1(U_8257)
| ~ v8_vectsp_1(U_8257)
| ~ v7_vectsp_1(U_8257)
| ~ v6_vectsp_1(U_8257)
| ~ v4_group_1(U_8257)
| ~ v6_rlvect_1(U_8257)
| ~ v5_rlvect_1(U_8257)
| ~ v4_rlvect_1(U_8257)
| ~ v3_rlvect_1(U_8257)
| v3_struct_0(U_8257) ),
inference(clausify,[status(thm)],[f_3274_3]) ).
cnf(f_3274_5,plain,
( k2_rmod_3(U_8257,U_8256,k1_rmod_2(U_8257,U_8256),U_8255) = k1_rmod_2(U_8257,U_8256)
| ~ sP1463(U_8257,U_8256,U_8255) ),
inference(clausify,[status(thm)],[f_3274_3]) ).
cnf(f_3274_6,plain,
( k2_rmod_3(U_8257,U_8256,U_8255,k1_rmod_2(U_8257,U_8256)) = k1_rmod_2(U_8257,U_8256)
| ~ sP1463(U_8257,U_8256,U_8255) ),
inference(clausify,[status(thm)],[f_3274_3]) ).
fof(f_3275_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t26_rmod_3]) ).
fof(f_3275_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3275_1]) ).
cnf(f_3275_3,plain,
$true,
inference(clausify,[status(thm)],[f_3275_2]) ).
fof(f_3276_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C
& k2_rmod_3(A,B,k2_rmod_2(A,B),C) = C )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t27_rmod_3]) ).
fof(f_3276_2,plain,
! [U_8260] :
( ! [U_8259] :
( ! [U_8258] :
( ( k2_rmod_3(U_8260,U_8259,U_8258,k2_rmod_2(U_8260,U_8259)) = U_8258
& k2_rmod_3(U_8260,U_8259,k2_rmod_2(U_8260,U_8259),U_8258) = U_8258 )
| ~ m1_rmod_2(U_8258,U_8260,U_8259)
| ~ v3_vectsp_2(U_8258,U_8260) )
| ~ l1_vectsp_2(U_8259,U_8260)
| ~ v5_vectsp_2(U_8259,U_8260)
| ~ v6_rlvect_1(U_8259)
| ~ v5_rlvect_1(U_8259)
| ~ v4_rlvect_1(U_8259)
| ~ v3_rlvect_1(U_8259)
| v3_struct_0(U_8259) )
| ~ l3_vectsp_1(U_8260)
| ~ v8_vectsp_1(U_8260)
| ~ v7_vectsp_1(U_8260)
| ~ v6_vectsp_1(U_8260)
| ~ v4_group_1(U_8260)
| ~ v6_rlvect_1(U_8260)
| ~ v5_rlvect_1(U_8260)
| ~ v4_rlvect_1(U_8260)
| ~ v3_rlvect_1(U_8260)
| v3_struct_0(U_8260) ),
inference(variable_rename,[status(thm)],[f_3276_1]) ).
fof(f_3276_3,plain,
( ! [U_8258,U_8260,U_8259] :
( k2_rmod_3(U_8260,U_8259,U_8258,k2_rmod_2(U_8260,U_8259)) = U_8258
| ~ sP1464(U_8258,U_8260,U_8259) )
& ! [U_8258,U_8260,U_8259] :
( k2_rmod_3(U_8260,U_8259,k2_rmod_2(U_8260,U_8259),U_8258) = U_8258
| ~ sP1464(U_8258,U_8260,U_8259) )
& ! [U_8258,U_8260,U_8259] :
( sP1464(U_8258,U_8260,U_8259)
| ~ m1_rmod_2(U_8258,U_8260,U_8259)
| ~ v3_vectsp_2(U_8258,U_8260)
| ~ l1_vectsp_2(U_8259,U_8260)
| ~ v5_vectsp_2(U_8259,U_8260)
| ~ v6_rlvect_1(U_8259)
| ~ v5_rlvect_1(U_8259)
| ~ v4_rlvect_1(U_8259)
| ~ v3_rlvect_1(U_8259)
| v3_struct_0(U_8259)
| ~ l3_vectsp_1(U_8260)
| ~ v8_vectsp_1(U_8260)
| ~ v7_vectsp_1(U_8260)
| ~ v6_vectsp_1(U_8260)
| ~ v4_group_1(U_8260)
| ~ v6_rlvect_1(U_8260)
| ~ v5_rlvect_1(U_8260)
| ~ v4_rlvect_1(U_8260)
| ~ v3_rlvect_1(U_8260)
| v3_struct_0(U_8260) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1464])],[f_3276_2]) ).
cnf(f_3276_4,plain,
( sP1464(U_8258,U_8260,U_8259)
| ~ m1_rmod_2(U_8258,U_8260,U_8259)
| ~ v3_vectsp_2(U_8258,U_8260)
| ~ l1_vectsp_2(U_8259,U_8260)
| ~ v5_vectsp_2(U_8259,U_8260)
| ~ v6_rlvect_1(U_8259)
| ~ v5_rlvect_1(U_8259)
| ~ v4_rlvect_1(U_8259)
| ~ v3_rlvect_1(U_8259)
| v3_struct_0(U_8259)
| ~ l3_vectsp_1(U_8260)
| ~ v8_vectsp_1(U_8260)
| ~ v7_vectsp_1(U_8260)
| ~ v6_vectsp_1(U_8260)
| ~ v4_group_1(U_8260)
| ~ v6_rlvect_1(U_8260)
| ~ v5_rlvect_1(U_8260)
| ~ v4_rlvect_1(U_8260)
| ~ v3_rlvect_1(U_8260)
| v3_struct_0(U_8260) ),
inference(clausify,[status(thm)],[f_3276_3]) ).
cnf(f_3276_5,plain,
( k2_rmod_3(U_8260,U_8259,k2_rmod_2(U_8260,U_8259),U_8258) = U_8258
| ~ sP1464(U_8258,U_8260,U_8259) ),
inference(clausify,[status(thm)],[f_3276_3]) ).
cnf(f_3276_6,plain,
( k2_rmod_3(U_8260,U_8259,U_8258,k2_rmod_2(U_8260,U_8259)) = U_8258
| ~ sP1464(U_8258,U_8260,U_8259) ),
inference(clausify,[status(thm)],[f_3276_3]) ).
fof(f_3277_1,plain,
! [A] :
( ! [B] :
( k2_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_rmod_3]) ).
fof(f_3277_2,plain,
! [U_8262] :
( ! [U_8261] :
( k2_rmod_3(U_8262,U_8261,k2_rmod_2(U_8262,U_8261),k2_rmod_2(U_8262,U_8261)) = U_8261
| ~ l1_vectsp_2(U_8261,U_8262)
| ~ v5_vectsp_2(U_8261,U_8262)
| ~ v3_vectsp_2(U_8261,U_8262)
| ~ v6_rlvect_1(U_8261)
| ~ v5_rlvect_1(U_8261)
| ~ v4_rlvect_1(U_8261)
| ~ v3_rlvect_1(U_8261)
| v3_struct_0(U_8261) )
| ~ l3_vectsp_1(U_8262)
| ~ v8_vectsp_1(U_8262)
| ~ v7_vectsp_1(U_8262)
| ~ v6_vectsp_1(U_8262)
| ~ v4_group_1(U_8262)
| ~ v6_rlvect_1(U_8262)
| ~ v5_rlvect_1(U_8262)
| ~ v4_rlvect_1(U_8262)
| ~ v3_rlvect_1(U_8262)
| v3_struct_0(U_8262) ),
inference(variable_rename,[status(thm)],[f_3277_1]) ).
fof(f_3277_3,plain,
! [U_8262,U_8261] :
( k2_rmod_3(U_8262,U_8261,k2_rmod_2(U_8262,U_8261),k2_rmod_2(U_8262,U_8261)) = U_8261
| ~ l1_vectsp_2(U_8261,U_8262)
| ~ v5_vectsp_2(U_8261,U_8262)
| ~ v3_vectsp_2(U_8261,U_8262)
| ~ v6_rlvect_1(U_8261)
| ~ v5_rlvect_1(U_8261)
| ~ v4_rlvect_1(U_8261)
| ~ v3_rlvect_1(U_8261)
| v3_struct_0(U_8261)
| ~ l3_vectsp_1(U_8262)
| ~ v8_vectsp_1(U_8262)
| ~ v7_vectsp_1(U_8262)
| ~ v6_vectsp_1(U_8262)
| ~ v4_group_1(U_8262)
| ~ v6_rlvect_1(U_8262)
| ~ v5_rlvect_1(U_8262)
| ~ v4_rlvect_1(U_8262)
| ~ v3_rlvect_1(U_8262)
| v3_struct_0(U_8262) ),
inference(definitional_conversion,[status(esa)],[f_3277_2]) ).
cnf(f_3277_4,plain,
( k2_rmod_3(U_8262,U_8261,k2_rmod_2(U_8262,U_8261),k2_rmod_2(U_8262,U_8261)) = U_8261
| ~ l1_vectsp_2(U_8261,U_8262)
| ~ v5_vectsp_2(U_8261,U_8262)
| ~ v3_vectsp_2(U_8261,U_8262)
| ~ v6_rlvect_1(U_8261)
| ~ v5_rlvect_1(U_8261)
| ~ v4_rlvect_1(U_8261)
| ~ v3_rlvect_1(U_8261)
| v3_struct_0(U_8261)
| ~ l3_vectsp_1(U_8262)
| ~ v8_vectsp_1(U_8262)
| ~ v7_vectsp_1(U_8262)
| ~ v6_vectsp_1(U_8262)
| ~ v4_group_1(U_8262)
| ~ v6_rlvect_1(U_8262)
| ~ v5_rlvect_1(U_8262)
| ~ v4_rlvect_1(U_8262)
| ~ v3_rlvect_1(U_8262)
| v3_struct_0(U_8262) ),
inference(clausify,[status(thm)],[f_3277_3]) ).
fof(f_3278_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_rmod_2(k2_rmod_3(A,B,C,D),A,k1_rmod_3(A,B,C,D))
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t29_rmod_3]) ).
fof(f_3278_2,plain,
! [U_8266] :
( ! [U_8265] :
( ! [U_8264] :
( ! [U_8263] :
( m1_rmod_2(k2_rmod_3(U_8266,U_8265,U_8264,U_8263),U_8266,k1_rmod_3(U_8266,U_8265,U_8264,U_8263))
| ~ m1_rmod_2(U_8263,U_8266,U_8265) )
| ~ m1_rmod_2(U_8264,U_8266,U_8265) )
| ~ l1_vectsp_2(U_8265,U_8266)
| ~ v5_vectsp_2(U_8265,U_8266)
| ~ v6_rlvect_1(U_8265)
| ~ v5_rlvect_1(U_8265)
| ~ v4_rlvect_1(U_8265)
| ~ v3_rlvect_1(U_8265)
| v3_struct_0(U_8265) )
| ~ l3_vectsp_1(U_8266)
| ~ v8_vectsp_1(U_8266)
| ~ v7_vectsp_1(U_8266)
| ~ v6_vectsp_1(U_8266)
| ~ v4_group_1(U_8266)
| ~ v6_rlvect_1(U_8266)
| ~ v5_rlvect_1(U_8266)
| ~ v4_rlvect_1(U_8266)
| ~ v3_rlvect_1(U_8266)
| v3_struct_0(U_8266) ),
inference(variable_rename,[status(thm)],[f_3278_1]) ).
fof(f_3278_3,plain,
! [U_8266,U_8264,U_8265,U_8263] :
( m1_rmod_2(k2_rmod_3(U_8266,U_8265,U_8264,U_8263),U_8266,k1_rmod_3(U_8266,U_8265,U_8264,U_8263))
| ~ m1_rmod_2(U_8263,U_8266,U_8265)
| ~ m1_rmod_2(U_8264,U_8266,U_8265)
| ~ l1_vectsp_2(U_8265,U_8266)
| ~ v5_vectsp_2(U_8265,U_8266)
| ~ v6_rlvect_1(U_8265)
| ~ v5_rlvect_1(U_8265)
| ~ v4_rlvect_1(U_8265)
| ~ v3_rlvect_1(U_8265)
| v3_struct_0(U_8265)
| ~ l3_vectsp_1(U_8266)
| ~ v8_vectsp_1(U_8266)
| ~ v7_vectsp_1(U_8266)
| ~ v6_vectsp_1(U_8266)
| ~ v4_group_1(U_8266)
| ~ v6_rlvect_1(U_8266)
| ~ v5_rlvect_1(U_8266)
| ~ v4_rlvect_1(U_8266)
| ~ v3_rlvect_1(U_8266)
| v3_struct_0(U_8266) ),
inference(definitional_conversion,[status(esa)],[f_3278_2]) ).
cnf(f_3278_4,plain,
( m1_rmod_2(k2_rmod_3(U_8266,U_8265,U_8264,U_8263),U_8266,k1_rmod_3(U_8266,U_8265,U_8264,U_8263))
| ~ m1_rmod_2(U_8263,U_8266,U_8265)
| ~ m1_rmod_2(U_8264,U_8266,U_8265)
| ~ l1_vectsp_2(U_8265,U_8266)
| ~ v5_vectsp_2(U_8265,U_8266)
| ~ v6_rlvect_1(U_8265)
| ~ v5_rlvect_1(U_8265)
| ~ v4_rlvect_1(U_8265)
| ~ v3_rlvect_1(U_8265)
| v3_struct_0(U_8265)
| ~ l3_vectsp_1(U_8266)
| ~ v8_vectsp_1(U_8266)
| ~ v7_vectsp_1(U_8266)
| ~ v6_vectsp_1(U_8266)
| ~ v4_group_1(U_8266)
| ~ v6_rlvect_1(U_8266)
| ~ v5_rlvect_1(U_8266)
| ~ v4_rlvect_1(U_8266)
| ~ v3_rlvect_1(U_8266)
| v3_struct_0(U_8266) ),
inference(clausify,[status(thm)],[f_3278_3]) ).
fof(f_3279_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D) = D
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t30_rmod_3]) ).
fof(f_3279_2,plain,
! [U_8270] :
( ! [U_8269] :
( ! [U_8268] :
( ! [U_8267] :
( k1_rmod_3(U_8270,U_8269,k2_rmod_3(U_8270,U_8269,U_8268,U_8267),U_8267) = U_8267
| ~ m1_rmod_2(U_8267,U_8270,U_8269)
| ~ v3_vectsp_2(U_8267,U_8270) )
| ~ m1_rmod_2(U_8268,U_8270,U_8269) )
| ~ l1_vectsp_2(U_8269,U_8270)
| ~ v5_vectsp_2(U_8269,U_8270)
| ~ v6_rlvect_1(U_8269)
| ~ v5_rlvect_1(U_8269)
| ~ v4_rlvect_1(U_8269)
| ~ v3_rlvect_1(U_8269)
| v3_struct_0(U_8269) )
| ~ l3_vectsp_1(U_8270)
| ~ v8_vectsp_1(U_8270)
| ~ v7_vectsp_1(U_8270)
| ~ v6_vectsp_1(U_8270)
| ~ v4_group_1(U_8270)
| ~ v6_rlvect_1(U_8270)
| ~ v5_rlvect_1(U_8270)
| ~ v4_rlvect_1(U_8270)
| ~ v3_rlvect_1(U_8270)
| v3_struct_0(U_8270) ),
inference(variable_rename,[status(thm)],[f_3279_1]) ).
fof(f_3279_3,plain,
! [U_8269,U_8267,U_8268,U_8270] :
( k1_rmod_3(U_8270,U_8269,k2_rmod_3(U_8270,U_8269,U_8268,U_8267),U_8267) = U_8267
| ~ m1_rmod_2(U_8267,U_8270,U_8269)
| ~ v3_vectsp_2(U_8267,U_8270)
| ~ m1_rmod_2(U_8268,U_8270,U_8269)
| ~ l1_vectsp_2(U_8269,U_8270)
| ~ v5_vectsp_2(U_8269,U_8270)
| ~ v6_rlvect_1(U_8269)
| ~ v5_rlvect_1(U_8269)
| ~ v4_rlvect_1(U_8269)
| ~ v3_rlvect_1(U_8269)
| v3_struct_0(U_8269)
| ~ l3_vectsp_1(U_8270)
| ~ v8_vectsp_1(U_8270)
| ~ v7_vectsp_1(U_8270)
| ~ v6_vectsp_1(U_8270)
| ~ v4_group_1(U_8270)
| ~ v6_rlvect_1(U_8270)
| ~ v5_rlvect_1(U_8270)
| ~ v4_rlvect_1(U_8270)
| ~ v3_rlvect_1(U_8270)
| v3_struct_0(U_8270) ),
inference(definitional_conversion,[status(esa)],[f_3279_2]) ).
cnf(f_3279_4,plain,
( k1_rmod_3(U_8270,U_8269,k2_rmod_3(U_8270,U_8269,U_8268,U_8267),U_8267) = U_8267
| ~ m1_rmod_2(U_8267,U_8270,U_8269)
| ~ v3_vectsp_2(U_8267,U_8270)
| ~ m1_rmod_2(U_8268,U_8270,U_8269)
| ~ l1_vectsp_2(U_8269,U_8270)
| ~ v5_vectsp_2(U_8269,U_8270)
| ~ v6_rlvect_1(U_8269)
| ~ v5_rlvect_1(U_8269)
| ~ v4_rlvect_1(U_8269)
| ~ v3_rlvect_1(U_8269)
| v3_struct_0(U_8269)
| ~ l3_vectsp_1(U_8270)
| ~ v8_vectsp_1(U_8270)
| ~ v7_vectsp_1(U_8270)
| ~ v6_vectsp_1(U_8270)
| ~ v4_group_1(U_8270)
| ~ v6_rlvect_1(U_8270)
| ~ v5_rlvect_1(U_8270)
| ~ v4_rlvect_1(U_8270)
| ~ v3_rlvect_1(U_8270)
| v3_struct_0(U_8270) ),
inference(clausify,[status(thm)],[f_3279_3]) ).
fof(f_3280_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k2_rmod_3(A,B,D,k1_rmod_3(A,B,D,C)) = D
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t31_rmod_3]) ).
fof(f_3280_2,plain,
! [U_8274] :
( ! [U_8273] :
( ! [U_8272] :
( ! [U_8271] :
( k2_rmod_3(U_8274,U_8273,U_8271,k1_rmod_3(U_8274,U_8273,U_8271,U_8272)) = U_8271
| ~ m1_rmod_2(U_8271,U_8274,U_8273)
| ~ v3_vectsp_2(U_8271,U_8274) )
| ~ m1_rmod_2(U_8272,U_8274,U_8273) )
| ~ l1_vectsp_2(U_8273,U_8274)
| ~ v5_vectsp_2(U_8273,U_8274)
| ~ v6_rlvect_1(U_8273)
| ~ v5_rlvect_1(U_8273)
| ~ v4_rlvect_1(U_8273)
| ~ v3_rlvect_1(U_8273)
| v3_struct_0(U_8273) )
| ~ l3_vectsp_1(U_8274)
| ~ v8_vectsp_1(U_8274)
| ~ v7_vectsp_1(U_8274)
| ~ v6_vectsp_1(U_8274)
| ~ v4_group_1(U_8274)
| ~ v6_rlvect_1(U_8274)
| ~ v5_rlvect_1(U_8274)
| ~ v4_rlvect_1(U_8274)
| ~ v3_rlvect_1(U_8274)
| v3_struct_0(U_8274) ),
inference(variable_rename,[status(thm)],[f_3280_1]) ).
fof(f_3280_3,plain,
! [U_8271,U_8272,U_8274,U_8273] :
( k2_rmod_3(U_8274,U_8273,U_8271,k1_rmod_3(U_8274,U_8273,U_8271,U_8272)) = U_8271
| ~ m1_rmod_2(U_8271,U_8274,U_8273)
| ~ v3_vectsp_2(U_8271,U_8274)
| ~ m1_rmod_2(U_8272,U_8274,U_8273)
| ~ l1_vectsp_2(U_8273,U_8274)
| ~ v5_vectsp_2(U_8273,U_8274)
| ~ v6_rlvect_1(U_8273)
| ~ v5_rlvect_1(U_8273)
| ~ v4_rlvect_1(U_8273)
| ~ v3_rlvect_1(U_8273)
| v3_struct_0(U_8273)
| ~ l3_vectsp_1(U_8274)
| ~ v8_vectsp_1(U_8274)
| ~ v7_vectsp_1(U_8274)
| ~ v6_vectsp_1(U_8274)
| ~ v4_group_1(U_8274)
| ~ v6_rlvect_1(U_8274)
| ~ v5_rlvect_1(U_8274)
| ~ v4_rlvect_1(U_8274)
| ~ v3_rlvect_1(U_8274)
| v3_struct_0(U_8274) ),
inference(definitional_conversion,[status(esa)],[f_3280_2]) ).
cnf(f_3280_4,plain,
( k2_rmod_3(U_8274,U_8273,U_8271,k1_rmod_3(U_8274,U_8273,U_8271,U_8272)) = U_8271
| ~ m1_rmod_2(U_8271,U_8274,U_8273)
| ~ v3_vectsp_2(U_8271,U_8274)
| ~ m1_rmod_2(U_8272,U_8274,U_8273)
| ~ l1_vectsp_2(U_8273,U_8274)
| ~ v5_vectsp_2(U_8273,U_8274)
| ~ v6_rlvect_1(U_8273)
| ~ v5_rlvect_1(U_8273)
| ~ v4_rlvect_1(U_8273)
| ~ v3_rlvect_1(U_8273)
| v3_struct_0(U_8273)
| ~ l3_vectsp_1(U_8274)
| ~ v8_vectsp_1(U_8274)
| ~ v7_vectsp_1(U_8274)
| ~ v6_vectsp_1(U_8274)
| ~ v4_group_1(U_8274)
| ~ v6_rlvect_1(U_8274)
| ~ v5_rlvect_1(U_8274)
| ~ v4_rlvect_1(U_8274)
| ~ v3_rlvect_1(U_8274)
| v3_struct_0(U_8274) ),
inference(clausify,[status(thm)],[f_3280_3]) ).
fof(f_3281_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E)))
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t32_rmod_3]) ).
fof(f_3281_2,plain,
! [U_8279] :
( ! [U_8278] :
( ! [U_8277] :
( ! [U_8276] :
( ! [U_8275] :
( m1_rmod_2(k1_rmod_3(U_8279,U_8278,k2_rmod_3(U_8279,U_8278,U_8277,U_8276),k2_rmod_3(U_8279,U_8278,U_8276,U_8275)),U_8279,k2_rmod_3(U_8279,U_8278,U_8276,k1_rmod_3(U_8279,U_8278,U_8277,U_8275)))
| ~ m1_rmod_2(U_8275,U_8279,U_8278) )
| ~ m1_rmod_2(U_8276,U_8279,U_8278) )
| ~ m1_rmod_2(U_8277,U_8279,U_8278) )
| ~ l1_vectsp_2(U_8278,U_8279)
| ~ v5_vectsp_2(U_8278,U_8279)
| ~ v6_rlvect_1(U_8278)
| ~ v5_rlvect_1(U_8278)
| ~ v4_rlvect_1(U_8278)
| ~ v3_rlvect_1(U_8278)
| v3_struct_0(U_8278) )
| ~ l3_vectsp_1(U_8279)
| ~ v8_vectsp_1(U_8279)
| ~ v7_vectsp_1(U_8279)
| ~ v6_vectsp_1(U_8279)
| ~ v4_group_1(U_8279)
| ~ v6_rlvect_1(U_8279)
| ~ v5_rlvect_1(U_8279)
| ~ v4_rlvect_1(U_8279)
| ~ v3_rlvect_1(U_8279)
| v3_struct_0(U_8279) ),
inference(variable_rename,[status(thm)],[f_3281_1]) ).
fof(f_3281_3,plain,
! [U_8278,U_8276,U_8277,U_8275,U_8279] :
( m1_rmod_2(k1_rmod_3(U_8279,U_8278,k2_rmod_3(U_8279,U_8278,U_8277,U_8276),k2_rmod_3(U_8279,U_8278,U_8276,U_8275)),U_8279,k2_rmod_3(U_8279,U_8278,U_8276,k1_rmod_3(U_8279,U_8278,U_8277,U_8275)))
| ~ m1_rmod_2(U_8275,U_8279,U_8278)
| ~ m1_rmod_2(U_8276,U_8279,U_8278)
| ~ m1_rmod_2(U_8277,U_8279,U_8278)
| ~ l1_vectsp_2(U_8278,U_8279)
| ~ v5_vectsp_2(U_8278,U_8279)
| ~ v6_rlvect_1(U_8278)
| ~ v5_rlvect_1(U_8278)
| ~ v4_rlvect_1(U_8278)
| ~ v3_rlvect_1(U_8278)
| v3_struct_0(U_8278)
| ~ l3_vectsp_1(U_8279)
| ~ v8_vectsp_1(U_8279)
| ~ v7_vectsp_1(U_8279)
| ~ v6_vectsp_1(U_8279)
| ~ v4_group_1(U_8279)
| ~ v6_rlvect_1(U_8279)
| ~ v5_rlvect_1(U_8279)
| ~ v4_rlvect_1(U_8279)
| ~ v3_rlvect_1(U_8279)
| v3_struct_0(U_8279) ),
inference(definitional_conversion,[status(esa)],[f_3281_2]) ).
cnf(f_3281_4,plain,
( m1_rmod_2(k1_rmod_3(U_8279,U_8278,k2_rmod_3(U_8279,U_8278,U_8277,U_8276),k2_rmod_3(U_8279,U_8278,U_8276,U_8275)),U_8279,k2_rmod_3(U_8279,U_8278,U_8276,k1_rmod_3(U_8279,U_8278,U_8277,U_8275)))
| ~ m1_rmod_2(U_8275,U_8279,U_8278)
| ~ m1_rmod_2(U_8276,U_8279,U_8278)
| ~ m1_rmod_2(U_8277,U_8279,U_8278)
| ~ l1_vectsp_2(U_8278,U_8279)
| ~ v5_vectsp_2(U_8278,U_8279)
| ~ v6_rlvect_1(U_8278)
| ~ v5_rlvect_1(U_8278)
| ~ v4_rlvect_1(U_8278)
| ~ v3_rlvect_1(U_8278)
| v3_struct_0(U_8278)
| ~ l3_vectsp_1(U_8279)
| ~ v8_vectsp_1(U_8279)
| ~ v7_vectsp_1(U_8279)
| ~ v6_vectsp_1(U_8279)
| ~ v4_group_1(U_8279)
| ~ v6_rlvect_1(U_8279)
| ~ v5_rlvect_1(U_8279)
| ~ v4_rlvect_1(U_8279)
| ~ v3_rlvect_1(U_8279)
| v3_struct_0(U_8279) ),
inference(clausify,[status(thm)],[f_3281_3]) ).
fof(f_3282_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E)) = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_rmod_3]) ).
fof(f_3282_2,plain,
! [U_8284] :
( ! [U_8283] :
( ! [U_8282] :
( ! [U_8281] :
( ! [U_8280] :
( k2_rmod_3(U_8284,U_8283,U_8281,k1_rmod_3(U_8284,U_8283,U_8282,U_8280)) = k1_rmod_3(U_8284,U_8283,k2_rmod_3(U_8284,U_8283,U_8282,U_8281),k2_rmod_3(U_8284,U_8283,U_8281,U_8280))
| ~ m1_rmod_2(U_8282,U_8284,U_8281)
| ~ m1_rmod_2(U_8280,U_8284,U_8283) )
| ~ m1_rmod_2(U_8281,U_8284,U_8283) )
| ~ m1_rmod_2(U_8282,U_8284,U_8283) )
| ~ l1_vectsp_2(U_8283,U_8284)
| ~ v5_vectsp_2(U_8283,U_8284)
| ~ v6_rlvect_1(U_8283)
| ~ v5_rlvect_1(U_8283)
| ~ v4_rlvect_1(U_8283)
| ~ v3_rlvect_1(U_8283)
| v3_struct_0(U_8283) )
| ~ l3_vectsp_1(U_8284)
| ~ v8_vectsp_1(U_8284)
| ~ v7_vectsp_1(U_8284)
| ~ v6_vectsp_1(U_8284)
| ~ v4_group_1(U_8284)
| ~ v6_rlvect_1(U_8284)
| ~ v5_rlvect_1(U_8284)
| ~ v4_rlvect_1(U_8284)
| ~ v3_rlvect_1(U_8284)
| v3_struct_0(U_8284) ),
inference(variable_rename,[status(thm)],[f_3282_1]) ).
fof(f_3282_3,plain,
! [U_8282,U_8280,U_8283,U_8284,U_8281] :
( k2_rmod_3(U_8284,U_8283,U_8281,k1_rmod_3(U_8284,U_8283,U_8282,U_8280)) = k1_rmod_3(U_8284,U_8283,k2_rmod_3(U_8284,U_8283,U_8282,U_8281),k2_rmod_3(U_8284,U_8283,U_8281,U_8280))
| ~ m1_rmod_2(U_8282,U_8284,U_8281)
| ~ m1_rmod_2(U_8280,U_8284,U_8283)
| ~ m1_rmod_2(U_8281,U_8284,U_8283)
| ~ m1_rmod_2(U_8282,U_8284,U_8283)
| ~ l1_vectsp_2(U_8283,U_8284)
| ~ v5_vectsp_2(U_8283,U_8284)
| ~ v6_rlvect_1(U_8283)
| ~ v5_rlvect_1(U_8283)
| ~ v4_rlvect_1(U_8283)
| ~ v3_rlvect_1(U_8283)
| v3_struct_0(U_8283)
| ~ l3_vectsp_1(U_8284)
| ~ v8_vectsp_1(U_8284)
| ~ v7_vectsp_1(U_8284)
| ~ v6_vectsp_1(U_8284)
| ~ v4_group_1(U_8284)
| ~ v6_rlvect_1(U_8284)
| ~ v5_rlvect_1(U_8284)
| ~ v4_rlvect_1(U_8284)
| ~ v3_rlvect_1(U_8284)
| v3_struct_0(U_8284) ),
inference(definitional_conversion,[status(esa)],[f_3282_2]) ).
cnf(f_3282_4,plain,
( k2_rmod_3(U_8284,U_8283,U_8281,k1_rmod_3(U_8284,U_8283,U_8282,U_8280)) = k1_rmod_3(U_8284,U_8283,k2_rmod_3(U_8284,U_8283,U_8282,U_8281),k2_rmod_3(U_8284,U_8283,U_8281,U_8280))
| ~ m1_rmod_2(U_8282,U_8284,U_8281)
| ~ m1_rmod_2(U_8280,U_8284,U_8283)
| ~ m1_rmod_2(U_8281,U_8284,U_8283)
| ~ m1_rmod_2(U_8282,U_8284,U_8283)
| ~ l1_vectsp_2(U_8283,U_8284)
| ~ v5_vectsp_2(U_8283,U_8284)
| ~ v6_rlvect_1(U_8283)
| ~ v5_rlvect_1(U_8283)
| ~ v4_rlvect_1(U_8283)
| ~ v3_rlvect_1(U_8283)
| v3_struct_0(U_8283)
| ~ l3_vectsp_1(U_8284)
| ~ v8_vectsp_1(U_8284)
| ~ v7_vectsp_1(U_8284)
| ~ v6_vectsp_1(U_8284)
| ~ v4_group_1(U_8284)
| ~ v6_rlvect_1(U_8284)
| ~ v5_rlvect_1(U_8284)
| ~ v4_rlvect_1(U_8284)
| ~ v3_rlvect_1(U_8284)
| v3_struct_0(U_8284) ),
inference(clausify,[status(thm)],[f_3282_3]) ).
fof(f_3283_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(k1_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,k1_rmod_3(A,B,D,C),k1_rmod_3(A,B,C,E)))
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_rmod_3]) ).
fof(f_3283_2,plain,
! [U_8289] :
( ! [U_8288] :
( ! [U_8287] :
( ! [U_8286] :
( ! [U_8285] :
( m1_rmod_2(k1_rmod_3(U_8289,U_8288,U_8287,k2_rmod_3(U_8289,U_8288,U_8286,U_8285)),U_8289,k2_rmod_3(U_8289,U_8288,k1_rmod_3(U_8289,U_8288,U_8286,U_8287),k1_rmod_3(U_8289,U_8288,U_8287,U_8285)))
| ~ m1_rmod_2(U_8285,U_8289,U_8288) )
| ~ m1_rmod_2(U_8286,U_8289,U_8288) )
| ~ m1_rmod_2(U_8287,U_8289,U_8288) )
| ~ l1_vectsp_2(U_8288,U_8289)
| ~ v5_vectsp_2(U_8288,U_8289)
| ~ v6_rlvect_1(U_8288)
| ~ v5_rlvect_1(U_8288)
| ~ v4_rlvect_1(U_8288)
| ~ v3_rlvect_1(U_8288)
| v3_struct_0(U_8288) )
| ~ l3_vectsp_1(U_8289)
| ~ v8_vectsp_1(U_8289)
| ~ v7_vectsp_1(U_8289)
| ~ v6_vectsp_1(U_8289)
| ~ v4_group_1(U_8289)
| ~ v6_rlvect_1(U_8289)
| ~ v5_rlvect_1(U_8289)
| ~ v4_rlvect_1(U_8289)
| ~ v3_rlvect_1(U_8289)
| v3_struct_0(U_8289) ),
inference(variable_rename,[status(thm)],[f_3283_1]) ).
fof(f_3283_3,plain,
! [U_8288,U_8287,U_8289,U_8285,U_8286] :
( m1_rmod_2(k1_rmod_3(U_8289,U_8288,U_8287,k2_rmod_3(U_8289,U_8288,U_8286,U_8285)),U_8289,k2_rmod_3(U_8289,U_8288,k1_rmod_3(U_8289,U_8288,U_8286,U_8287),k1_rmod_3(U_8289,U_8288,U_8287,U_8285)))
| ~ m1_rmod_2(U_8285,U_8289,U_8288)
| ~ m1_rmod_2(U_8286,U_8289,U_8288)
| ~ m1_rmod_2(U_8287,U_8289,U_8288)
| ~ l1_vectsp_2(U_8288,U_8289)
| ~ v5_vectsp_2(U_8288,U_8289)
| ~ v6_rlvect_1(U_8288)
| ~ v5_rlvect_1(U_8288)
| ~ v4_rlvect_1(U_8288)
| ~ v3_rlvect_1(U_8288)
| v3_struct_0(U_8288)
| ~ l3_vectsp_1(U_8289)
| ~ v8_vectsp_1(U_8289)
| ~ v7_vectsp_1(U_8289)
| ~ v6_vectsp_1(U_8289)
| ~ v4_group_1(U_8289)
| ~ v6_rlvect_1(U_8289)
| ~ v5_rlvect_1(U_8289)
| ~ v4_rlvect_1(U_8289)
| ~ v3_rlvect_1(U_8289)
| v3_struct_0(U_8289) ),
inference(definitional_conversion,[status(esa)],[f_3283_2]) ).
cnf(f_3283_4,plain,
( m1_rmod_2(k1_rmod_3(U_8289,U_8288,U_8287,k2_rmod_3(U_8289,U_8288,U_8286,U_8285)),U_8289,k2_rmod_3(U_8289,U_8288,k1_rmod_3(U_8289,U_8288,U_8286,U_8287),k1_rmod_3(U_8289,U_8288,U_8287,U_8285)))
| ~ m1_rmod_2(U_8285,U_8289,U_8288)
| ~ m1_rmod_2(U_8286,U_8289,U_8288)
| ~ m1_rmod_2(U_8287,U_8289,U_8288)
| ~ l1_vectsp_2(U_8288,U_8289)
| ~ v5_vectsp_2(U_8288,U_8289)
| ~ v6_rlvect_1(U_8288)
| ~ v5_rlvect_1(U_8288)
| ~ v4_rlvect_1(U_8288)
| ~ v3_rlvect_1(U_8288)
| v3_struct_0(U_8288)
| ~ l3_vectsp_1(U_8289)
| ~ v8_vectsp_1(U_8289)
| ~ v7_vectsp_1(U_8289)
| ~ v6_vectsp_1(U_8289)
| ~ v4_group_1(U_8289)
| ~ v6_rlvect_1(U_8289)
| ~ v5_rlvect_1(U_8289)
| ~ v4_rlvect_1(U_8289)
| ~ v3_rlvect_1(U_8289)
| v3_struct_0(U_8289) ),
inference(clausify,[status(thm)],[f_3283_3]) ).
fof(f_3284_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E)) = k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_rmod_3]) ).
fof(f_3284_2,plain,
! [U_8294] :
( ! [U_8293] :
( ! [U_8292] :
( ! [U_8291] :
( ! [U_8290] :
( k1_rmod_3(U_8294,U_8293,U_8291,k2_rmod_3(U_8294,U_8293,U_8292,U_8290)) = k2_rmod_3(U_8294,U_8293,k1_rmod_3(U_8294,U_8293,U_8292,U_8291),k1_rmod_3(U_8294,U_8293,U_8291,U_8290))
| ~ m1_rmod_2(U_8292,U_8294,U_8291)
| ~ m1_rmod_2(U_8290,U_8294,U_8293) )
| ~ m1_rmod_2(U_8291,U_8294,U_8293) )
| ~ m1_rmod_2(U_8292,U_8294,U_8293) )
| ~ l1_vectsp_2(U_8293,U_8294)
| ~ v5_vectsp_2(U_8293,U_8294)
| ~ v6_rlvect_1(U_8293)
| ~ v5_rlvect_1(U_8293)
| ~ v4_rlvect_1(U_8293)
| ~ v3_rlvect_1(U_8293)
| v3_struct_0(U_8293) )
| ~ l3_vectsp_1(U_8294)
| ~ v8_vectsp_1(U_8294)
| ~ v7_vectsp_1(U_8294)
| ~ v6_vectsp_1(U_8294)
| ~ v4_group_1(U_8294)
| ~ v6_rlvect_1(U_8294)
| ~ v5_rlvect_1(U_8294)
| ~ v4_rlvect_1(U_8294)
| ~ v3_rlvect_1(U_8294)
| v3_struct_0(U_8294) ),
inference(variable_rename,[status(thm)],[f_3284_1]) ).
fof(f_3284_3,plain,
! [U_8293,U_8292,U_8291,U_8290,U_8294] :
( k1_rmod_3(U_8294,U_8293,U_8291,k2_rmod_3(U_8294,U_8293,U_8292,U_8290)) = k2_rmod_3(U_8294,U_8293,k1_rmod_3(U_8294,U_8293,U_8292,U_8291),k1_rmod_3(U_8294,U_8293,U_8291,U_8290))
| ~ m1_rmod_2(U_8292,U_8294,U_8291)
| ~ m1_rmod_2(U_8290,U_8294,U_8293)
| ~ m1_rmod_2(U_8291,U_8294,U_8293)
| ~ m1_rmod_2(U_8292,U_8294,U_8293)
| ~ l1_vectsp_2(U_8293,U_8294)
| ~ v5_vectsp_2(U_8293,U_8294)
| ~ v6_rlvect_1(U_8293)
| ~ v5_rlvect_1(U_8293)
| ~ v4_rlvect_1(U_8293)
| ~ v3_rlvect_1(U_8293)
| v3_struct_0(U_8293)
| ~ l3_vectsp_1(U_8294)
| ~ v8_vectsp_1(U_8294)
| ~ v7_vectsp_1(U_8294)
| ~ v6_vectsp_1(U_8294)
| ~ v4_group_1(U_8294)
| ~ v6_rlvect_1(U_8294)
| ~ v5_rlvect_1(U_8294)
| ~ v4_rlvect_1(U_8294)
| ~ v3_rlvect_1(U_8294)
| v3_struct_0(U_8294) ),
inference(definitional_conversion,[status(esa)],[f_3284_2]) ).
cnf(f_3284_4,plain,
( k1_rmod_3(U_8294,U_8293,U_8291,k2_rmod_3(U_8294,U_8293,U_8292,U_8290)) = k2_rmod_3(U_8294,U_8293,k1_rmod_3(U_8294,U_8293,U_8292,U_8291),k1_rmod_3(U_8294,U_8293,U_8291,U_8290))
| ~ m1_rmod_2(U_8292,U_8294,U_8291)
| ~ m1_rmod_2(U_8290,U_8294,U_8293)
| ~ m1_rmod_2(U_8291,U_8294,U_8293)
| ~ m1_rmod_2(U_8292,U_8294,U_8293)
| ~ l1_vectsp_2(U_8293,U_8294)
| ~ v5_vectsp_2(U_8293,U_8294)
| ~ v6_rlvect_1(U_8293)
| ~ v5_rlvect_1(U_8293)
| ~ v4_rlvect_1(U_8293)
| ~ v3_rlvect_1(U_8293)
| v3_struct_0(U_8293)
| ~ l3_vectsp_1(U_8294)
| ~ v8_vectsp_1(U_8294)
| ~ v7_vectsp_1(U_8294)
| ~ v6_vectsp_1(U_8294)
| ~ v4_group_1(U_8294)
| ~ v6_rlvect_1(U_8294)
| ~ v5_rlvect_1(U_8294)
| ~ v4_rlvect_1(U_8294)
| ~ v3_rlvect_1(U_8294)
| v3_struct_0(U_8294) ),
inference(clausify,[status(thm)],[f_3284_3]) ).
fof(f_3285_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_rmod_3(A,B,E,k2_rmod_3(A,B,D,C)) = k2_rmod_3(A,B,k1_rmod_3(A,B,E,D),C)
| ~ m1_rmod_2(E,A,C)
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_rmod_3]) ).
fof(f_3285_2,plain,
! [U_8299] :
( ! [U_8298] :
( ! [U_8297] :
( ! [U_8296] :
( ! [U_8295] :
( k1_rmod_3(U_8299,U_8298,U_8295,k2_rmod_3(U_8299,U_8298,U_8296,U_8297)) = k2_rmod_3(U_8299,U_8298,k1_rmod_3(U_8299,U_8298,U_8295,U_8296),U_8297)
| ~ m1_rmod_2(U_8295,U_8299,U_8297)
| ~ m1_rmod_2(U_8295,U_8299,U_8298)
| ~ v3_vectsp_2(U_8295,U_8299) )
| ~ m1_rmod_2(U_8296,U_8299,U_8298) )
| ~ m1_rmod_2(U_8297,U_8299,U_8298) )
| ~ l1_vectsp_2(U_8298,U_8299)
| ~ v5_vectsp_2(U_8298,U_8299)
| ~ v6_rlvect_1(U_8298)
| ~ v5_rlvect_1(U_8298)
| ~ v4_rlvect_1(U_8298)
| ~ v3_rlvect_1(U_8298)
| v3_struct_0(U_8298) )
| ~ l3_vectsp_1(U_8299)
| ~ v8_vectsp_1(U_8299)
| ~ v7_vectsp_1(U_8299)
| ~ v6_vectsp_1(U_8299)
| ~ v4_group_1(U_8299)
| ~ v6_rlvect_1(U_8299)
| ~ v5_rlvect_1(U_8299)
| ~ v4_rlvect_1(U_8299)
| ~ v3_rlvect_1(U_8299)
| v3_struct_0(U_8299) ),
inference(variable_rename,[status(thm)],[f_3285_1]) ).
fof(f_3285_3,plain,
! [U_8296,U_8297,U_8299,U_8295,U_8298] :
( k1_rmod_3(U_8299,U_8298,U_8295,k2_rmod_3(U_8299,U_8298,U_8296,U_8297)) = k2_rmod_3(U_8299,U_8298,k1_rmod_3(U_8299,U_8298,U_8295,U_8296),U_8297)
| ~ m1_rmod_2(U_8295,U_8299,U_8297)
| ~ m1_rmod_2(U_8295,U_8299,U_8298)
| ~ v3_vectsp_2(U_8295,U_8299)
| ~ m1_rmod_2(U_8296,U_8299,U_8298)
| ~ m1_rmod_2(U_8297,U_8299,U_8298)
| ~ l1_vectsp_2(U_8298,U_8299)
| ~ v5_vectsp_2(U_8298,U_8299)
| ~ v6_rlvect_1(U_8298)
| ~ v5_rlvect_1(U_8298)
| ~ v4_rlvect_1(U_8298)
| ~ v3_rlvect_1(U_8298)
| v3_struct_0(U_8298)
| ~ l3_vectsp_1(U_8299)
| ~ v8_vectsp_1(U_8299)
| ~ v7_vectsp_1(U_8299)
| ~ v6_vectsp_1(U_8299)
| ~ v4_group_1(U_8299)
| ~ v6_rlvect_1(U_8299)
| ~ v5_rlvect_1(U_8299)
| ~ v4_rlvect_1(U_8299)
| ~ v3_rlvect_1(U_8299)
| v3_struct_0(U_8299) ),
inference(definitional_conversion,[status(esa)],[f_3285_2]) ).
cnf(f_3285_4,plain,
( k1_rmod_3(U_8299,U_8298,U_8295,k2_rmod_3(U_8299,U_8298,U_8296,U_8297)) = k2_rmod_3(U_8299,U_8298,k1_rmod_3(U_8299,U_8298,U_8295,U_8296),U_8297)
| ~ m1_rmod_2(U_8295,U_8299,U_8297)
| ~ m1_rmod_2(U_8295,U_8299,U_8298)
| ~ v3_vectsp_2(U_8295,U_8299)
| ~ m1_rmod_2(U_8296,U_8299,U_8298)
| ~ m1_rmod_2(U_8297,U_8299,U_8298)
| ~ l1_vectsp_2(U_8298,U_8299)
| ~ v5_vectsp_2(U_8298,U_8299)
| ~ v6_rlvect_1(U_8298)
| ~ v5_rlvect_1(U_8298)
| ~ v4_rlvect_1(U_8298)
| ~ v3_rlvect_1(U_8298)
| v3_struct_0(U_8298)
| ~ l3_vectsp_1(U_8299)
| ~ v8_vectsp_1(U_8299)
| ~ v7_vectsp_1(U_8299)
| ~ v6_vectsp_1(U_8299)
| ~ v4_group_1(U_8299)
| ~ v6_rlvect_1(U_8299)
| ~ v5_rlvect_1(U_8299)
| ~ v4_rlvect_1(U_8299)
| ~ v3_rlvect_1(U_8299)
| v3_struct_0(U_8299) ),
inference(clausify,[status(thm)],[f_3285_3]) ).
fof(f_3286_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k1_rmod_3(A,B,C,D) = D
| k2_rmod_3(A,B,C,D) != C )
& ( k2_rmod_3(A,B,C,D) = C
| k1_rmod_3(A,B,C,D) != D ) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B)
| ~ v3_vectsp_2(C,A) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_rmod_3]) ).
fof(f_3286_2,plain,
! [U_8303] :
( ! [U_8302] :
( ! [U_8301] :
( ! [U_8300] :
( ( ( k1_rmod_3(U_8303,U_8302,U_8301,U_8300) = U_8300
| k2_rmod_3(U_8303,U_8302,U_8301,U_8300) != U_8301 )
& ( k2_rmod_3(U_8303,U_8302,U_8301,U_8300) = U_8301
| k1_rmod_3(U_8303,U_8302,U_8301,U_8300) != U_8300 ) )
| ~ m1_rmod_2(U_8300,U_8303,U_8302)
| ~ v3_vectsp_2(U_8300,U_8303) )
| ~ m1_rmod_2(U_8301,U_8303,U_8302)
| ~ v3_vectsp_2(U_8301,U_8303) )
| ~ l1_vectsp_2(U_8302,U_8303)
| ~ v5_vectsp_2(U_8302,U_8303)
| ~ v6_rlvect_1(U_8302)
| ~ v5_rlvect_1(U_8302)
| ~ v4_rlvect_1(U_8302)
| ~ v3_rlvect_1(U_8302)
| v3_struct_0(U_8302) )
| ~ l3_vectsp_1(U_8303)
| ~ v8_vectsp_1(U_8303)
| ~ v7_vectsp_1(U_8303)
| ~ v6_vectsp_1(U_8303)
| ~ v4_group_1(U_8303)
| ~ v6_rlvect_1(U_8303)
| ~ v5_rlvect_1(U_8303)
| ~ v4_rlvect_1(U_8303)
| ~ v3_rlvect_1(U_8303)
| v3_struct_0(U_8303) ),
inference(variable_rename,[status(thm)],[f_3286_1]) ).
fof(f_3286_3,plain,
( ! [U_8303,U_8302,U_8301,U_8300] :
( k1_rmod_3(U_8303,U_8302,U_8301,U_8300) = U_8300
| k2_rmod_3(U_8303,U_8302,U_8301,U_8300) != U_8301
| ~ sP1465(U_8303,U_8302,U_8301,U_8300) )
& ! [U_8303,U_8302,U_8301,U_8300] :
( k2_rmod_3(U_8303,U_8302,U_8301,U_8300) = U_8301
| k1_rmod_3(U_8303,U_8302,U_8301,U_8300) != U_8300
| ~ sP1465(U_8303,U_8302,U_8301,U_8300) )
& ! [U_8303,U_8302,U_8301,U_8300] :
( sP1465(U_8303,U_8302,U_8301,U_8300)
| ~ m1_rmod_2(U_8300,U_8303,U_8302)
| ~ v3_vectsp_2(U_8300,U_8303)
| ~ m1_rmod_2(U_8301,U_8303,U_8302)
| ~ v3_vectsp_2(U_8301,U_8303)
| ~ l1_vectsp_2(U_8302,U_8303)
| ~ v5_vectsp_2(U_8302,U_8303)
| ~ v6_rlvect_1(U_8302)
| ~ v5_rlvect_1(U_8302)
| ~ v4_rlvect_1(U_8302)
| ~ v3_rlvect_1(U_8302)
| v3_struct_0(U_8302)
| ~ l3_vectsp_1(U_8303)
| ~ v8_vectsp_1(U_8303)
| ~ v7_vectsp_1(U_8303)
| ~ v6_vectsp_1(U_8303)
| ~ v4_group_1(U_8303)
| ~ v6_rlvect_1(U_8303)
| ~ v5_rlvect_1(U_8303)
| ~ v4_rlvect_1(U_8303)
| ~ v3_rlvect_1(U_8303)
| v3_struct_0(U_8303) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1465])],[f_3286_2]) ).
cnf(f_3286_4,plain,
( sP1465(U_8303,U_8302,U_8301,U_8300)
| ~ m1_rmod_2(U_8300,U_8303,U_8302)
| ~ v3_vectsp_2(U_8300,U_8303)
| ~ m1_rmod_2(U_8301,U_8303,U_8302)
| ~ v3_vectsp_2(U_8301,U_8303)
| ~ l1_vectsp_2(U_8302,U_8303)
| ~ v5_vectsp_2(U_8302,U_8303)
| ~ v6_rlvect_1(U_8302)
| ~ v5_rlvect_1(U_8302)
| ~ v4_rlvect_1(U_8302)
| ~ v3_rlvect_1(U_8302)
| v3_struct_0(U_8302)
| ~ l3_vectsp_1(U_8303)
| ~ v8_vectsp_1(U_8303)
| ~ v7_vectsp_1(U_8303)
| ~ v6_vectsp_1(U_8303)
| ~ v4_group_1(U_8303)
| ~ v6_rlvect_1(U_8303)
| ~ v5_rlvect_1(U_8303)
| ~ v4_rlvect_1(U_8303)
| ~ v3_rlvect_1(U_8303)
| v3_struct_0(U_8303) ),
inference(clausify,[status(thm)],[f_3286_3]) ).
cnf(f_3286_5,plain,
( k2_rmod_3(U_8303,U_8302,U_8301,U_8300) = U_8301
| k1_rmod_3(U_8303,U_8302,U_8301,U_8300) != U_8300
| ~ sP1465(U_8303,U_8302,U_8301,U_8300) ),
inference(clausify,[status(thm)],[f_3286_3]) ).
cnf(f_3286_6,plain,
( k1_rmod_3(U_8303,U_8302,U_8301,U_8300) = U_8300
| k2_rmod_3(U_8303,U_8302,U_8301,U_8300) != U_8301
| ~ sP1465(U_8303,U_8302,U_8301,U_8300) ),
inference(clausify,[status(thm)],[f_3286_3]) ).
fof(f_3287_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(k1_rmod_3(A,B,C,E),A,k1_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t38_rmod_3]) ).
fof(f_3287_2,plain,
! [U_8308] :
( ! [U_8307] :
( ! [U_8306] :
( ! [U_8305] :
( ! [U_8304] :
( m1_rmod_2(k1_rmod_3(U_8308,U_8307,U_8306,U_8304),U_8308,k1_rmod_3(U_8308,U_8307,U_8305,U_8304))
| ~ m1_rmod_2(U_8306,U_8308,U_8305)
| ~ m1_rmod_2(U_8304,U_8308,U_8307)
| ~ v3_vectsp_2(U_8304,U_8308) )
| ~ m1_rmod_2(U_8305,U_8308,U_8307)
| ~ v3_vectsp_2(U_8305,U_8308) )
| ~ m1_rmod_2(U_8306,U_8308,U_8307) )
| ~ l1_vectsp_2(U_8307,U_8308)
| ~ v5_vectsp_2(U_8307,U_8308)
| ~ v6_rlvect_1(U_8307)
| ~ v5_rlvect_1(U_8307)
| ~ v4_rlvect_1(U_8307)
| ~ v3_rlvect_1(U_8307)
| v3_struct_0(U_8307) )
| ~ l3_vectsp_1(U_8308)
| ~ v8_vectsp_1(U_8308)
| ~ v7_vectsp_1(U_8308)
| ~ v6_vectsp_1(U_8308)
| ~ v4_group_1(U_8308)
| ~ v6_rlvect_1(U_8308)
| ~ v5_rlvect_1(U_8308)
| ~ v4_rlvect_1(U_8308)
| ~ v3_rlvect_1(U_8308)
| v3_struct_0(U_8308) ),
inference(variable_rename,[status(thm)],[f_3287_1]) ).
fof(f_3287_3,plain,
! [U_8304,U_8306,U_8307,U_8308,U_8305] :
( m1_rmod_2(k1_rmod_3(U_8308,U_8307,U_8306,U_8304),U_8308,k1_rmod_3(U_8308,U_8307,U_8305,U_8304))
| ~ m1_rmod_2(U_8306,U_8308,U_8305)
| ~ m1_rmod_2(U_8304,U_8308,U_8307)
| ~ v3_vectsp_2(U_8304,U_8308)
| ~ m1_rmod_2(U_8305,U_8308,U_8307)
| ~ v3_vectsp_2(U_8305,U_8308)
| ~ m1_rmod_2(U_8306,U_8308,U_8307)
| ~ l1_vectsp_2(U_8307,U_8308)
| ~ v5_vectsp_2(U_8307,U_8308)
| ~ v6_rlvect_1(U_8307)
| ~ v5_rlvect_1(U_8307)
| ~ v4_rlvect_1(U_8307)
| ~ v3_rlvect_1(U_8307)
| v3_struct_0(U_8307)
| ~ l3_vectsp_1(U_8308)
| ~ v8_vectsp_1(U_8308)
| ~ v7_vectsp_1(U_8308)
| ~ v6_vectsp_1(U_8308)
| ~ v4_group_1(U_8308)
| ~ v6_rlvect_1(U_8308)
| ~ v5_rlvect_1(U_8308)
| ~ v4_rlvect_1(U_8308)
| ~ v3_rlvect_1(U_8308)
| v3_struct_0(U_8308) ),
inference(definitional_conversion,[status(esa)],[f_3287_2]) ).
cnf(f_3287_4,plain,
( m1_rmod_2(k1_rmod_3(U_8308,U_8307,U_8306,U_8304),U_8308,k1_rmod_3(U_8308,U_8307,U_8305,U_8304))
| ~ m1_rmod_2(U_8306,U_8308,U_8305)
| ~ m1_rmod_2(U_8304,U_8308,U_8307)
| ~ v3_vectsp_2(U_8304,U_8308)
| ~ m1_rmod_2(U_8305,U_8308,U_8307)
| ~ v3_vectsp_2(U_8305,U_8308)
| ~ m1_rmod_2(U_8306,U_8308,U_8307)
| ~ l1_vectsp_2(U_8307,U_8308)
| ~ v5_vectsp_2(U_8307,U_8308)
| ~ v6_rlvect_1(U_8307)
| ~ v5_rlvect_1(U_8307)
| ~ v4_rlvect_1(U_8307)
| ~ v3_rlvect_1(U_8307)
| v3_struct_0(U_8307)
| ~ l3_vectsp_1(U_8308)
| ~ v8_vectsp_1(U_8308)
| ~ v7_vectsp_1(U_8308)
| ~ v6_vectsp_1(U_8308)
| ~ v4_group_1(U_8308)
| ~ v6_rlvect_1(U_8308)
| ~ v5_rlvect_1(U_8308)
| ~ v4_rlvect_1(U_8308)
| ~ v3_rlvect_1(U_8308)
| v3_struct_0(U_8308) ),
inference(clausify,[status(thm)],[f_3287_3]) ).
fof(f_3288_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(C,A,k1_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t39_rmod_3]) ).
fof(f_3288_2,plain,
! [U_8313] :
( ! [U_8312] :
( ! [U_8311] :
( ! [U_8310] :
( ! [U_8309] :
( m1_rmod_2(U_8311,U_8313,k1_rmod_3(U_8313,U_8312,U_8310,U_8309))
| ~ m1_rmod_2(U_8311,U_8313,U_8310)
| ~ m1_rmod_2(U_8309,U_8313,U_8312) )
| ~ m1_rmod_2(U_8310,U_8313,U_8312) )
| ~ m1_rmod_2(U_8311,U_8313,U_8312) )
| ~ l1_vectsp_2(U_8312,U_8313)
| ~ v5_vectsp_2(U_8312,U_8313)
| ~ v6_rlvect_1(U_8312)
| ~ v5_rlvect_1(U_8312)
| ~ v4_rlvect_1(U_8312)
| ~ v3_rlvect_1(U_8312)
| v3_struct_0(U_8312) )
| ~ l3_vectsp_1(U_8313)
| ~ v8_vectsp_1(U_8313)
| ~ v7_vectsp_1(U_8313)
| ~ v6_vectsp_1(U_8313)
| ~ v4_group_1(U_8313)
| ~ v6_rlvect_1(U_8313)
| ~ v5_rlvect_1(U_8313)
| ~ v4_rlvect_1(U_8313)
| ~ v3_rlvect_1(U_8313)
| v3_struct_0(U_8313) ),
inference(variable_rename,[status(thm)],[f_3288_1]) ).
fof(f_3288_3,plain,
! [U_8312,U_8313,U_8310,U_8311,U_8309] :
( m1_rmod_2(U_8311,U_8313,k1_rmod_3(U_8313,U_8312,U_8310,U_8309))
| ~ m1_rmod_2(U_8311,U_8313,U_8310)
| ~ m1_rmod_2(U_8309,U_8313,U_8312)
| ~ m1_rmod_2(U_8310,U_8313,U_8312)
| ~ m1_rmod_2(U_8311,U_8313,U_8312)
| ~ l1_vectsp_2(U_8312,U_8313)
| ~ v5_vectsp_2(U_8312,U_8313)
| ~ v6_rlvect_1(U_8312)
| ~ v5_rlvect_1(U_8312)
| ~ v4_rlvect_1(U_8312)
| ~ v3_rlvect_1(U_8312)
| v3_struct_0(U_8312)
| ~ l3_vectsp_1(U_8313)
| ~ v8_vectsp_1(U_8313)
| ~ v7_vectsp_1(U_8313)
| ~ v6_vectsp_1(U_8313)
| ~ v4_group_1(U_8313)
| ~ v6_rlvect_1(U_8313)
| ~ v5_rlvect_1(U_8313)
| ~ v4_rlvect_1(U_8313)
| ~ v3_rlvect_1(U_8313)
| v3_struct_0(U_8313) ),
inference(definitional_conversion,[status(esa)],[f_3288_2]) ).
cnf(f_3288_4,plain,
( m1_rmod_2(U_8311,U_8313,k1_rmod_3(U_8313,U_8312,U_8310,U_8309))
| ~ m1_rmod_2(U_8311,U_8313,U_8310)
| ~ m1_rmod_2(U_8309,U_8313,U_8312)
| ~ m1_rmod_2(U_8310,U_8313,U_8312)
| ~ m1_rmod_2(U_8311,U_8313,U_8312)
| ~ l1_vectsp_2(U_8312,U_8313)
| ~ v5_vectsp_2(U_8312,U_8313)
| ~ v6_rlvect_1(U_8312)
| ~ v5_rlvect_1(U_8312)
| ~ v4_rlvect_1(U_8312)
| ~ v3_rlvect_1(U_8312)
| v3_struct_0(U_8312)
| ~ l3_vectsp_1(U_8313)
| ~ v8_vectsp_1(U_8313)
| ~ v7_vectsp_1(U_8313)
| ~ v6_vectsp_1(U_8313)
| ~ v4_group_1(U_8313)
| ~ v6_rlvect_1(U_8313)
| ~ v5_rlvect_1(U_8313)
| ~ v4_rlvect_1(U_8313)
| ~ v3_rlvect_1(U_8313)
| v3_struct_0(U_8313) ),
inference(clausify,[status(thm)],[f_3288_3]) ).
fof(f_3289_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(k1_rmod_3(A,B,C,E),A,D)
| ~ m1_rmod_2(E,A,D)
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_rmod_3]) ).
fof(f_3289_2,plain,
! [U_8318] :
( ! [U_8317] :
( ! [U_8316] :
( ! [U_8315] :
( ! [U_8314] :
( m1_rmod_2(k1_rmod_3(U_8318,U_8317,U_8316,U_8314),U_8318,U_8315)
| ~ m1_rmod_2(U_8314,U_8318,U_8315)
| ~ m1_rmod_2(U_8316,U_8318,U_8315)
| ~ m1_rmod_2(U_8314,U_8318,U_8317) )
| ~ m1_rmod_2(U_8315,U_8318,U_8317) )
| ~ m1_rmod_2(U_8316,U_8318,U_8317) )
| ~ l1_vectsp_2(U_8317,U_8318)
| ~ v5_vectsp_2(U_8317,U_8318)
| ~ v6_rlvect_1(U_8317)
| ~ v5_rlvect_1(U_8317)
| ~ v4_rlvect_1(U_8317)
| ~ v3_rlvect_1(U_8317)
| v3_struct_0(U_8317) )
| ~ l3_vectsp_1(U_8318)
| ~ v8_vectsp_1(U_8318)
| ~ v7_vectsp_1(U_8318)
| ~ v6_vectsp_1(U_8318)
| ~ v4_group_1(U_8318)
| ~ v6_rlvect_1(U_8318)
| ~ v5_rlvect_1(U_8318)
| ~ v4_rlvect_1(U_8318)
| ~ v3_rlvect_1(U_8318)
| v3_struct_0(U_8318) ),
inference(variable_rename,[status(thm)],[f_3289_1]) ).
fof(f_3289_3,plain,
! [U_8316,U_8318,U_8315,U_8317,U_8314] :
( m1_rmod_2(k1_rmod_3(U_8318,U_8317,U_8316,U_8314),U_8318,U_8315)
| ~ m1_rmod_2(U_8314,U_8318,U_8315)
| ~ m1_rmod_2(U_8316,U_8318,U_8315)
| ~ m1_rmod_2(U_8314,U_8318,U_8317)
| ~ m1_rmod_2(U_8315,U_8318,U_8317)
| ~ m1_rmod_2(U_8316,U_8318,U_8317)
| ~ l1_vectsp_2(U_8317,U_8318)
| ~ v5_vectsp_2(U_8317,U_8318)
| ~ v6_rlvect_1(U_8317)
| ~ v5_rlvect_1(U_8317)
| ~ v4_rlvect_1(U_8317)
| ~ v3_rlvect_1(U_8317)
| v3_struct_0(U_8317)
| ~ l3_vectsp_1(U_8318)
| ~ v8_vectsp_1(U_8318)
| ~ v7_vectsp_1(U_8318)
| ~ v6_vectsp_1(U_8318)
| ~ v4_group_1(U_8318)
| ~ v6_rlvect_1(U_8318)
| ~ v5_rlvect_1(U_8318)
| ~ v4_rlvect_1(U_8318)
| ~ v3_rlvect_1(U_8318)
| v3_struct_0(U_8318) ),
inference(definitional_conversion,[status(esa)],[f_3289_2]) ).
cnf(f_3289_4,plain,
( m1_rmod_2(k1_rmod_3(U_8318,U_8317,U_8316,U_8314),U_8318,U_8315)
| ~ m1_rmod_2(U_8314,U_8318,U_8315)
| ~ m1_rmod_2(U_8316,U_8318,U_8315)
| ~ m1_rmod_2(U_8314,U_8318,U_8317)
| ~ m1_rmod_2(U_8315,U_8318,U_8317)
| ~ m1_rmod_2(U_8316,U_8318,U_8317)
| ~ l1_vectsp_2(U_8317,U_8318)
| ~ v5_vectsp_2(U_8317,U_8318)
| ~ v6_rlvect_1(U_8317)
| ~ v5_rlvect_1(U_8317)
| ~ v4_rlvect_1(U_8317)
| ~ v3_rlvect_1(U_8317)
| v3_struct_0(U_8317)
| ~ l3_vectsp_1(U_8318)
| ~ v8_vectsp_1(U_8318)
| ~ v7_vectsp_1(U_8318)
| ~ v6_vectsp_1(U_8318)
| ~ v4_group_1(U_8318)
| ~ v6_rlvect_1(U_8318)
| ~ v5_rlvect_1(U_8318)
| ~ v4_rlvect_1(U_8318)
| ~ v3_rlvect_1(U_8318)
| v3_struct_0(U_8318) ),
inference(clausify,[status(thm)],[f_3289_3]) ).
fof(f_3290_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( ? [E] :
( u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D))
& m1_rmod_2(E,A,B) )
| ( ~ m1_rmod_2(D,A,C)
& ~ m1_rmod_2(C,A,D) ) )
& ( m1_rmod_2(D,A,C)
| m1_rmod_2(C,A,D)
| ! [E] :
( u1_struct_0(E) != k2_xboole_0(u1_struct_0(C),u1_struct_0(D))
| ~ m1_rmod_2(E,A,B) ) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_rmod_3]) ).
fof(f_3290_2,plain,
! [U_8324] :
( ! [U_8323] :
( ! [U_8322] :
( ! [U_8321] :
( ( ( ? [U_8320] :
( u1_struct_0(U_8320) = k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
& m1_rmod_2(U_8320,U_8324,U_8323) )
| ( ~ m1_rmod_2(U_8321,U_8324,U_8322)
& ~ m1_rmod_2(U_8322,U_8324,U_8321) ) )
& ( m1_rmod_2(U_8321,U_8324,U_8322)
| m1_rmod_2(U_8322,U_8324,U_8321)
| ! [U_8319] :
( u1_struct_0(U_8319) != k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
| ~ m1_rmod_2(U_8319,U_8324,U_8323) ) ) )
| ~ m1_rmod_2(U_8321,U_8324,U_8323) )
| ~ m1_rmod_2(U_8322,U_8324,U_8323) )
| ~ l1_vectsp_2(U_8323,U_8324)
| ~ v5_vectsp_2(U_8323,U_8324)
| ~ v6_rlvect_1(U_8323)
| ~ v5_rlvect_1(U_8323)
| ~ v4_rlvect_1(U_8323)
| ~ v3_rlvect_1(U_8323)
| v3_struct_0(U_8323) )
| ~ l3_vectsp_1(U_8324)
| ~ v8_vectsp_1(U_8324)
| ~ v7_vectsp_1(U_8324)
| ~ v6_vectsp_1(U_8324)
| ~ v4_group_1(U_8324)
| ~ v6_rlvect_1(U_8324)
| ~ v5_rlvect_1(U_8324)
| ~ v4_rlvect_1(U_8324)
| ~ v3_rlvect_1(U_8324)
| v3_struct_0(U_8324) ),
inference(variable_rename,[status(thm)],[f_3290_1]) ).
fof(f_3290_3,plain,
! [U_8324] :
( ! [U_8323] :
( ! [U_8322] :
( ! [U_8321] :
( ( ( ( u1_struct_0(sK963(U_8324,U_8323,U_8322,U_8321)) = k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
& m1_rmod_2(sK963(U_8324,U_8323,U_8322,U_8321),U_8324,U_8323) )
| ( ~ m1_rmod_2(U_8321,U_8324,U_8322)
& ~ m1_rmod_2(U_8322,U_8324,U_8321) ) )
& ( m1_rmod_2(U_8321,U_8324,U_8322)
| m1_rmod_2(U_8322,U_8324,U_8321)
| ! [U_8319] :
( u1_struct_0(U_8319) != k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
| ~ m1_rmod_2(U_8319,U_8324,U_8323) ) ) )
| ~ m1_rmod_2(U_8321,U_8324,U_8323) )
| ~ m1_rmod_2(U_8322,U_8324,U_8323) )
| ~ l1_vectsp_2(U_8323,U_8324)
| ~ v5_vectsp_2(U_8323,U_8324)
| ~ v6_rlvect_1(U_8323)
| ~ v5_rlvect_1(U_8323)
| ~ v4_rlvect_1(U_8323)
| ~ v3_rlvect_1(U_8323)
| v3_struct_0(U_8323) )
| ~ l3_vectsp_1(U_8324)
| ~ v8_vectsp_1(U_8324)
| ~ v7_vectsp_1(U_8324)
| ~ v6_vectsp_1(U_8324)
| ~ v4_group_1(U_8324)
| ~ v6_rlvect_1(U_8324)
| ~ v5_rlvect_1(U_8324)
| ~ v4_rlvect_1(U_8324)
| ~ v3_rlvect_1(U_8324)
| v3_struct_0(U_8324) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK963]),skolemize(U_8320,sK963(U_8324,U_8323,U_8322,U_8321))],[f_3290_2]) ).
fof(f_3290_4,plain,
( ! [U_8323,U_8324,U_8321,U_8322] :
( u1_struct_0(sK963(U_8324,U_8323,U_8322,U_8321)) = k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
| ~ sP1467(U_8323,U_8324,U_8321,U_8322) )
& ! [U_8323,U_8324,U_8321,U_8322] :
( m1_rmod_2(sK963(U_8324,U_8323,U_8322,U_8321),U_8324,U_8323)
| ~ sP1467(U_8323,U_8324,U_8321,U_8322) )
& ! [U_8324,U_8321,U_8322] :
( ~ m1_rmod_2(U_8321,U_8324,U_8322)
| ~ sP1466(U_8324,U_8321,U_8322) )
& ! [U_8324,U_8321,U_8322] :
( ~ m1_rmod_2(U_8322,U_8324,U_8321)
| ~ sP1466(U_8324,U_8321,U_8322) )
& ! [U_8323,U_8324,U_8319,U_8321,U_8322] :
( sP1467(U_8323,U_8324,U_8321,U_8322)
| sP1466(U_8324,U_8321,U_8322)
| ~ sP1468(U_8323,U_8324,U_8319,U_8321,U_8322) )
& ! [U_8323,U_8324,U_8319,U_8321,U_8322] :
( m1_rmod_2(U_8321,U_8324,U_8322)
| m1_rmod_2(U_8322,U_8324,U_8321)
| u1_struct_0(U_8319) != k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
| ~ m1_rmod_2(U_8319,U_8324,U_8323)
| ~ sP1468(U_8323,U_8324,U_8319,U_8321,U_8322) )
& ! [U_8323,U_8324,U_8319,U_8321,U_8322] :
( sP1468(U_8323,U_8324,U_8319,U_8321,U_8322)
| ~ m1_rmod_2(U_8321,U_8324,U_8323)
| ~ m1_rmod_2(U_8322,U_8324,U_8323)
| ~ l1_vectsp_2(U_8323,U_8324)
| ~ v5_vectsp_2(U_8323,U_8324)
| ~ v6_rlvect_1(U_8323)
| ~ v5_rlvect_1(U_8323)
| ~ v4_rlvect_1(U_8323)
| ~ v3_rlvect_1(U_8323)
| v3_struct_0(U_8323)
| ~ l3_vectsp_1(U_8324)
| ~ v8_vectsp_1(U_8324)
| ~ v7_vectsp_1(U_8324)
| ~ v6_vectsp_1(U_8324)
| ~ v4_group_1(U_8324)
| ~ v6_rlvect_1(U_8324)
| ~ v5_rlvect_1(U_8324)
| ~ v4_rlvect_1(U_8324)
| ~ v3_rlvect_1(U_8324)
| v3_struct_0(U_8324) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1466,sP1467,sP1468])],[f_3290_3]) ).
cnf(f_3290_5,plain,
( sP1468(U_8323,U_8324,U_8319,U_8321,U_8322)
| ~ m1_rmod_2(U_8321,U_8324,U_8323)
| ~ m1_rmod_2(U_8322,U_8324,U_8323)
| ~ l1_vectsp_2(U_8323,U_8324)
| ~ v5_vectsp_2(U_8323,U_8324)
| ~ v6_rlvect_1(U_8323)
| ~ v5_rlvect_1(U_8323)
| ~ v4_rlvect_1(U_8323)
| ~ v3_rlvect_1(U_8323)
| v3_struct_0(U_8323)
| ~ l3_vectsp_1(U_8324)
| ~ v8_vectsp_1(U_8324)
| ~ v7_vectsp_1(U_8324)
| ~ v6_vectsp_1(U_8324)
| ~ v4_group_1(U_8324)
| ~ v6_rlvect_1(U_8324)
| ~ v5_rlvect_1(U_8324)
| ~ v4_rlvect_1(U_8324)
| ~ v3_rlvect_1(U_8324)
| v3_struct_0(U_8324) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
cnf(f_3290_6,plain,
( m1_rmod_2(U_8321,U_8324,U_8322)
| m1_rmod_2(U_8322,U_8324,U_8321)
| u1_struct_0(U_8319) != k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
| ~ m1_rmod_2(U_8319,U_8324,U_8323)
| ~ sP1468(U_8323,U_8324,U_8319,U_8321,U_8322) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
cnf(f_3290_7,plain,
( sP1467(U_8323,U_8324,U_8321,U_8322)
| sP1466(U_8324,U_8321,U_8322)
| ~ sP1468(U_8323,U_8324,U_8319,U_8321,U_8322) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
cnf(f_3290_8,plain,
( ~ m1_rmod_2(U_8322,U_8324,U_8321)
| ~ sP1466(U_8324,U_8321,U_8322) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
cnf(f_3290_9,plain,
( ~ m1_rmod_2(U_8321,U_8324,U_8322)
| ~ sP1466(U_8324,U_8321,U_8322) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
cnf(f_3290_10,plain,
( m1_rmod_2(sK963(U_8324,U_8323,U_8322,U_8321),U_8324,U_8323)
| ~ sP1467(U_8323,U_8324,U_8321,U_8322) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
cnf(f_3290_11,plain,
( u1_struct_0(sK963(U_8324,U_8323,U_8322,U_8321)) = k2_xboole_0(u1_struct_0(U_8322),u1_struct_0(U_8321))
| ~ sP1467(U_8323,U_8324,U_8321,U_8322) ),
inference(clausify,[status(thm)],[f_3290_4]) ).
fof(f_3291_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k3_rmod_3(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
& ? [E] :
( E = D
& m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) ) )
| ( ! [E] :
( E != D
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
& r2_hidden(D,C) ) ) )
& ( ! [D] :
( ( r2_hidden(D,C)
| ! [E] :
( E != D
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) ) )
& ( ? [E] :
( E = D
& m1_rmod_2(E,A,B)
& v3_vectsp_2(E,A) )
| ~ r2_hidden(D,C) ) )
| C != k3_rmod_3(A,B) ) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d3_rmod_3]) ).
fof(f_3291_2,plain,
! [U_8333] :
( ! [U_8332] :
( ! [U_8331] :
( ( U_8331 = k3_rmod_3(U_8333,U_8332)
| ? [U_8330] :
( ( ~ r2_hidden(U_8330,U_8331)
& ? [U_8329] :
( U_8329 = U_8330
& m1_rmod_2(U_8329,U_8333,U_8332)
& v3_vectsp_2(U_8329,U_8333) ) )
| ( ! [U_8328] :
( U_8328 != U_8330
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333) )
& r2_hidden(U_8330,U_8331) ) ) )
& ( ! [U_8327] :
( ( r2_hidden(U_8327,U_8331)
| ! [U_8326] :
( U_8326 != U_8327
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333) ) )
& ( ? [U_8325] :
( U_8325 = U_8327
& m1_rmod_2(U_8325,U_8333,U_8332)
& v3_vectsp_2(U_8325,U_8333) )
| ~ r2_hidden(U_8327,U_8331) ) )
| U_8331 != k3_rmod_3(U_8333,U_8332) ) )
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332) )
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(variable_rename,[status(thm)],[f_3291_1]) ).
fof(f_3291_3,plain,
! [U_8333] :
( ! [U_8332] :
( ( ! [U_8339] :
( U_8339 = k3_rmod_3(U_8333,U_8332)
| ? [U_8337] :
( ~ r2_hidden(U_8337,U_8339)
& ? [U_8329] :
( U_8329 = U_8337
& m1_rmod_2(U_8329,U_8333,U_8332)
& v3_vectsp_2(U_8329,U_8333) ) )
| ? [U_8336] :
( ! [U_8328] :
( U_8328 != U_8336
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333) )
& r2_hidden(U_8336,U_8339) ) )
& ! [U_8338] :
( ( ! [U_8335] :
( r2_hidden(U_8335,U_8338)
| ! [U_8326] :
( U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333) ) )
& ! [U_8334] :
( ? [U_8325] :
( U_8325 = U_8334
& m1_rmod_2(U_8325,U_8333,U_8332)
& v3_vectsp_2(U_8325,U_8333) )
| ~ r2_hidden(U_8334,U_8338) ) )
| U_8338 != k3_rmod_3(U_8333,U_8332) ) )
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332) )
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(miniscope,[status(thm)],[f_3291_2]) ).
fof(f_3291_4,plain,
! [U_8333] :
( ! [U_8332] :
( ( ! [U_8339] :
( U_8339 = k3_rmod_3(U_8333,U_8332)
| ? [U_8337] :
( ~ r2_hidden(U_8337,U_8339)
& ? [U_8329] :
( U_8329 = U_8337
& m1_rmod_2(U_8329,U_8333,U_8332)
& v3_vectsp_2(U_8329,U_8333) ) )
| ? [U_8336] :
( ! [U_8328] :
( U_8328 != U_8336
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333) )
& r2_hidden(U_8336,U_8339) ) )
& ! [U_8338] :
( ( ! [U_8335] :
( r2_hidden(U_8335,U_8338)
| ! [U_8326] :
( U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333) ) )
& ! [U_8334] :
( ( sK964(U_8333,U_8332,U_8338,U_8334) = U_8334
& m1_rmod_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333,U_8332)
& v3_vectsp_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333) )
| ~ r2_hidden(U_8334,U_8338) ) )
| U_8338 != k3_rmod_3(U_8333,U_8332) ) )
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332) )
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK964]),skolemize(U_8325,sK964(U_8333,U_8332,U_8338,U_8334))],[f_3291_3]) ).
fof(f_3291_5,plain,
! [U_8333] :
( ! [U_8332] :
( ( ! [U_8339] :
( U_8339 = k3_rmod_3(U_8333,U_8332)
| ? [U_8337] :
( ~ r2_hidden(U_8337,U_8339)
& ? [U_8329] :
( U_8329 = U_8337
& m1_rmod_2(U_8329,U_8333,U_8332)
& v3_vectsp_2(U_8329,U_8333) ) )
| ( ! [U_8328] :
( U_8328 != sK965(U_8333,U_8332,U_8339)
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333) )
& r2_hidden(sK965(U_8333,U_8332,U_8339),U_8339) ) )
& ! [U_8338] :
( ( ! [U_8335] :
( r2_hidden(U_8335,U_8338)
| ! [U_8326] :
( U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333) ) )
& ! [U_8334] :
( ( sK964(U_8333,U_8332,U_8338,U_8334) = U_8334
& m1_rmod_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333,U_8332)
& v3_vectsp_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333) )
| ~ r2_hidden(U_8334,U_8338) ) )
| U_8338 != k3_rmod_3(U_8333,U_8332) ) )
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332) )
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK965]),skolemize(U_8336,sK965(U_8333,U_8332,U_8339))],[f_3291_4]) ).
fof(f_3291_6,plain,
! [U_8333] :
( ! [U_8332] :
( ( ! [U_8339] :
( U_8339 = k3_rmod_3(U_8333,U_8332)
| ( ~ r2_hidden(sK966(U_8333,U_8332,U_8339),U_8339)
& ? [U_8329] :
( U_8329 = sK966(U_8333,U_8332,U_8339)
& m1_rmod_2(U_8329,U_8333,U_8332)
& v3_vectsp_2(U_8329,U_8333) ) )
| ( ! [U_8328] :
( U_8328 != sK965(U_8333,U_8332,U_8339)
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333) )
& r2_hidden(sK965(U_8333,U_8332,U_8339),U_8339) ) )
& ! [U_8338] :
( ( ! [U_8335] :
( r2_hidden(U_8335,U_8338)
| ! [U_8326] :
( U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333) ) )
& ! [U_8334] :
( ( sK964(U_8333,U_8332,U_8338,U_8334) = U_8334
& m1_rmod_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333,U_8332)
& v3_vectsp_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333) )
| ~ r2_hidden(U_8334,U_8338) ) )
| U_8338 != k3_rmod_3(U_8333,U_8332) ) )
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332) )
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK966]),skolemize(U_8337,sK966(U_8333,U_8332,U_8339))],[f_3291_5]) ).
fof(f_3291_7,plain,
! [U_8333] :
( ! [U_8332] :
( ( ! [U_8339] :
( U_8339 = k3_rmod_3(U_8333,U_8332)
| ( ~ r2_hidden(sK966(U_8333,U_8332,U_8339),U_8339)
& sK967(U_8333,U_8332,U_8339) = sK966(U_8333,U_8332,U_8339)
& m1_rmod_2(sK967(U_8333,U_8332,U_8339),U_8333,U_8332)
& v3_vectsp_2(sK967(U_8333,U_8332,U_8339),U_8333) )
| ( ! [U_8328] :
( U_8328 != sK965(U_8333,U_8332,U_8339)
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333) )
& r2_hidden(sK965(U_8333,U_8332,U_8339),U_8339) ) )
& ! [U_8338] :
( ( ! [U_8335] :
( r2_hidden(U_8335,U_8338)
| ! [U_8326] :
( U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333) ) )
& ! [U_8334] :
( ( sK964(U_8333,U_8332,U_8338,U_8334) = U_8334
& m1_rmod_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333,U_8332)
& v3_vectsp_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333) )
| ~ r2_hidden(U_8334,U_8338) ) )
| U_8338 != k3_rmod_3(U_8333,U_8332) ) )
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332) )
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK967]),skolemize(U_8329,sK967(U_8333,U_8332,U_8339))],[f_3291_6]) ).
fof(f_3291_8,plain,
( ! [U_8339,U_8333,U_8332] :
( ~ r2_hidden(sK966(U_8333,U_8332,U_8339),U_8339)
| ~ sP1472(U_8339,U_8333,U_8332) )
& ! [U_8339,U_8333,U_8332] :
( sK967(U_8333,U_8332,U_8339) = sK966(U_8333,U_8332,U_8339)
| ~ sP1472(U_8339,U_8333,U_8332) )
& ! [U_8339,U_8333,U_8332] :
( m1_rmod_2(sK967(U_8333,U_8332,U_8339),U_8333,U_8332)
| ~ sP1472(U_8339,U_8333,U_8332) )
& ! [U_8339,U_8333,U_8332] :
( v3_vectsp_2(sK967(U_8333,U_8332,U_8339),U_8333)
| ~ sP1472(U_8339,U_8333,U_8332) )
& ! [U_8339,U_8333,U_8332,U_8328] :
( U_8328 != sK965(U_8333,U_8332,U_8339)
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333)
| ~ sP1471(U_8339,U_8333,U_8332,U_8328) )
& ! [U_8339,U_8333,U_8332,U_8328] :
( r2_hidden(sK965(U_8333,U_8332,U_8339),U_8339)
| ~ sP1471(U_8339,U_8333,U_8332,U_8328) )
& ! [U_8338,U_8333,U_8332,U_8334] :
( sK964(U_8333,U_8332,U_8338,U_8334) = U_8334
| ~ sP1469(U_8338,U_8333,U_8332,U_8334) )
& ! [U_8338,U_8333,U_8332,U_8334] :
( m1_rmod_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333,U_8332)
| ~ sP1469(U_8338,U_8333,U_8332,U_8334) )
& ! [U_8338,U_8333,U_8332,U_8334] :
( v3_vectsp_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333)
| ~ sP1469(U_8338,U_8333,U_8332,U_8334) )
& ! [U_8338,U_8333,U_8332,U_8326,U_8335,U_8334] :
( r2_hidden(U_8335,U_8338)
| U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333)
| ~ sP1470(U_8338,U_8333,U_8332,U_8326,U_8335,U_8334) )
& ! [U_8338,U_8333,U_8332,U_8326,U_8335,U_8334] :
( sP1469(U_8338,U_8333,U_8332,U_8334)
| ~ r2_hidden(U_8334,U_8338)
| ~ sP1470(U_8338,U_8333,U_8332,U_8326,U_8335,U_8334) )
& ! [U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334] :
( U_8339 = k3_rmod_3(U_8333,U_8332)
| sP1472(U_8339,U_8333,U_8332)
| sP1471(U_8339,U_8333,U_8332,U_8328)
| ~ sP1473(U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334) )
& ! [U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334] :
( sP1470(U_8338,U_8333,U_8332,U_8326,U_8335,U_8334)
| U_8338 != k3_rmod_3(U_8333,U_8332)
| ~ sP1473(U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334) )
& ! [U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334] :
( sP1473(U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334)
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332)
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1469,sP1470,sP1471,sP1472,sP1473])],[f_3291_7]) ).
cnf(f_3291_9,plain,
( sP1473(U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334)
| ~ l1_vectsp_2(U_8332,U_8333)
| ~ v5_vectsp_2(U_8332,U_8333)
| ~ v6_rlvect_1(U_8332)
| ~ v5_rlvect_1(U_8332)
| ~ v4_rlvect_1(U_8332)
| ~ v3_rlvect_1(U_8332)
| v3_struct_0(U_8332)
| ~ l3_vectsp_1(U_8333)
| ~ v8_vectsp_1(U_8333)
| ~ v7_vectsp_1(U_8333)
| ~ v6_vectsp_1(U_8333)
| ~ v4_group_1(U_8333)
| ~ v6_rlvect_1(U_8333)
| ~ v5_rlvect_1(U_8333)
| ~ v4_rlvect_1(U_8333)
| ~ v3_rlvect_1(U_8333)
| v3_struct_0(U_8333) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_10,plain,
( sP1470(U_8338,U_8333,U_8332,U_8326,U_8335,U_8334)
| U_8338 != k3_rmod_3(U_8333,U_8332)
| ~ sP1473(U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_11,plain,
( U_8339 = k3_rmod_3(U_8333,U_8332)
| sP1472(U_8339,U_8333,U_8332)
| sP1471(U_8339,U_8333,U_8332,U_8328)
| ~ sP1473(U_8338,U_8339,U_8333,U_8332,U_8328,U_8326,U_8335,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_12,plain,
( sP1469(U_8338,U_8333,U_8332,U_8334)
| ~ r2_hidden(U_8334,U_8338)
| ~ sP1470(U_8338,U_8333,U_8332,U_8326,U_8335,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_13,plain,
( r2_hidden(U_8335,U_8338)
| U_8326 != U_8335
| ~ m1_rmod_2(U_8326,U_8333,U_8332)
| ~ v3_vectsp_2(U_8326,U_8333)
| ~ sP1470(U_8338,U_8333,U_8332,U_8326,U_8335,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_14,plain,
( v3_vectsp_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333)
| ~ sP1469(U_8338,U_8333,U_8332,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_15,plain,
( m1_rmod_2(sK964(U_8333,U_8332,U_8338,U_8334),U_8333,U_8332)
| ~ sP1469(U_8338,U_8333,U_8332,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_16,plain,
( sK964(U_8333,U_8332,U_8338,U_8334) = U_8334
| ~ sP1469(U_8338,U_8333,U_8332,U_8334) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_17,plain,
( r2_hidden(sK965(U_8333,U_8332,U_8339),U_8339)
| ~ sP1471(U_8339,U_8333,U_8332,U_8328) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_18,plain,
( U_8328 != sK965(U_8333,U_8332,U_8339)
| ~ m1_rmod_2(U_8328,U_8333,U_8332)
| ~ v3_vectsp_2(U_8328,U_8333)
| ~ sP1471(U_8339,U_8333,U_8332,U_8328) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_19,plain,
( v3_vectsp_2(sK967(U_8333,U_8332,U_8339),U_8333)
| ~ sP1472(U_8339,U_8333,U_8332) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_20,plain,
( m1_rmod_2(sK967(U_8333,U_8332,U_8339),U_8333,U_8332)
| ~ sP1472(U_8339,U_8333,U_8332) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_21,plain,
( sK967(U_8333,U_8332,U_8339) = sK966(U_8333,U_8332,U_8339)
| ~ sP1472(U_8339,U_8333,U_8332) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
cnf(f_3291_22,plain,
( ~ r2_hidden(sK966(U_8333,U_8332,U_8339),U_8339)
| ~ sP1472(U_8339,U_8333,U_8332) ),
inference(clausify,[status(thm)],[f_3291_8]) ).
fof(f_3292_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t42_rmod_3]) ).
fof(f_3292_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3292_1]) ).
cnf(f_3292_3,plain,
$true,
inference(clausify,[status(thm)],[f_3292_2]) ).
fof(f_3293_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t43_rmod_3]) ).
fof(f_3293_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3293_1]) ).
cnf(f_3293_3,plain,
$true,
inference(clausify,[status(thm)],[f_3293_2]) ).
fof(f_3294_1,plain,
! [A] :
( ! [B] :
( r2_hidden(B,k3_rmod_3(A,B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t44_rmod_3]) ).
fof(f_3294_2,plain,
! [U_8341] :
( ! [U_8340] :
( r2_hidden(U_8340,k3_rmod_3(U_8341,U_8340))
| ~ l1_vectsp_2(U_8340,U_8341)
| ~ v5_vectsp_2(U_8340,U_8341)
| ~ v3_vectsp_2(U_8340,U_8341)
| ~ v6_rlvect_1(U_8340)
| ~ v5_rlvect_1(U_8340)
| ~ v4_rlvect_1(U_8340)
| ~ v3_rlvect_1(U_8340)
| v3_struct_0(U_8340) )
| ~ l3_vectsp_1(U_8341)
| ~ v8_vectsp_1(U_8341)
| ~ v7_vectsp_1(U_8341)
| ~ v6_vectsp_1(U_8341)
| ~ v4_group_1(U_8341)
| ~ v6_rlvect_1(U_8341)
| ~ v5_rlvect_1(U_8341)
| ~ v4_rlvect_1(U_8341)
| ~ v3_rlvect_1(U_8341)
| v3_struct_0(U_8341) ),
inference(variable_rename,[status(thm)],[f_3294_1]) ).
fof(f_3294_3,plain,
! [U_8341,U_8340] :
( r2_hidden(U_8340,k3_rmod_3(U_8341,U_8340))
| ~ l1_vectsp_2(U_8340,U_8341)
| ~ v5_vectsp_2(U_8340,U_8341)
| ~ v3_vectsp_2(U_8340,U_8341)
| ~ v6_rlvect_1(U_8340)
| ~ v5_rlvect_1(U_8340)
| ~ v4_rlvect_1(U_8340)
| ~ v3_rlvect_1(U_8340)
| v3_struct_0(U_8340)
| ~ l3_vectsp_1(U_8341)
| ~ v8_vectsp_1(U_8341)
| ~ v7_vectsp_1(U_8341)
| ~ v6_vectsp_1(U_8341)
| ~ v4_group_1(U_8341)
| ~ v6_rlvect_1(U_8341)
| ~ v5_rlvect_1(U_8341)
| ~ v4_rlvect_1(U_8341)
| ~ v3_rlvect_1(U_8341)
| v3_struct_0(U_8341) ),
inference(definitional_conversion,[status(esa)],[f_3294_2]) ).
cnf(f_3294_4,plain,
( r2_hidden(U_8340,k3_rmod_3(U_8341,U_8340))
| ~ l1_vectsp_2(U_8340,U_8341)
| ~ v5_vectsp_2(U_8340,U_8341)
| ~ v3_vectsp_2(U_8340,U_8341)
| ~ v6_rlvect_1(U_8340)
| ~ v5_rlvect_1(U_8340)
| ~ v4_rlvect_1(U_8340)
| ~ v3_rlvect_1(U_8340)
| v3_struct_0(U_8340)
| ~ l3_vectsp_1(U_8341)
| ~ v8_vectsp_1(U_8341)
| ~ v7_vectsp_1(U_8341)
| ~ v6_vectsp_1(U_8341)
| ~ v4_group_1(U_8341)
| ~ v6_rlvect_1(U_8341)
| ~ v5_rlvect_1(U_8341)
| ~ v4_rlvect_1(U_8341)
| ~ v3_rlvect_1(U_8341)
| v3_struct_0(U_8341) ),
inference(clausify,[status(thm)],[f_3294_3]) ).
fof(f_3295_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_rmod_3(A,B,C,D)
| k2_rmod_3(A,B,C,D) != k1_rmod_2(A,B)
| g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) != k1_rmod_3(A,B,C,D) )
& ( ( k2_rmod_3(A,B,C,D) = k1_rmod_2(A,B)
& g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,D) )
| ~ r1_rmod_3(A,B,C,D) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_rmod_3]) ).
fof(f_3295_2,plain,
! [U_8345] :
( ! [U_8344] :
( ! [U_8343] :
( ! [U_8342] :
( ( ( r1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| k2_rmod_3(U_8345,U_8344,U_8343,U_8342) != k1_rmod_2(U_8345,U_8344)
| g1_vectsp_2(U_8345,u1_struct_0(U_8344),u1_rlvect_1(U_8344),u2_struct_0(U_8344),u1_vectsp_2(U_8345,U_8344)) != k1_rmod_3(U_8345,U_8344,U_8343,U_8342) )
& ( ( k2_rmod_3(U_8345,U_8344,U_8343,U_8342) = k1_rmod_2(U_8345,U_8344)
& g1_vectsp_2(U_8345,u1_struct_0(U_8344),u1_rlvect_1(U_8344),u2_struct_0(U_8344),u1_vectsp_2(U_8345,U_8344)) = k1_rmod_3(U_8345,U_8344,U_8343,U_8342) )
| ~ r1_rmod_3(U_8345,U_8344,U_8343,U_8342) ) )
| ~ m1_rmod_2(U_8342,U_8345,U_8344) )
| ~ m1_rmod_2(U_8343,U_8345,U_8344) )
| ~ l1_vectsp_2(U_8344,U_8345)
| ~ v5_vectsp_2(U_8344,U_8345)
| ~ v6_rlvect_1(U_8344)
| ~ v5_rlvect_1(U_8344)
| ~ v4_rlvect_1(U_8344)
| ~ v3_rlvect_1(U_8344)
| v3_struct_0(U_8344) )
| ~ l3_vectsp_1(U_8345)
| ~ v8_vectsp_1(U_8345)
| ~ v7_vectsp_1(U_8345)
| ~ v6_vectsp_1(U_8345)
| ~ v4_group_1(U_8345)
| ~ v6_rlvect_1(U_8345)
| ~ v5_rlvect_1(U_8345)
| ~ v4_rlvect_1(U_8345)
| ~ v3_rlvect_1(U_8345)
| v3_struct_0(U_8345) ),
inference(variable_rename,[status(thm)],[f_3295_1]) ).
fof(f_3295_3,plain,
( ! [U_8345,U_8342,U_8343,U_8344] :
( k2_rmod_3(U_8345,U_8344,U_8343,U_8342) = k1_rmod_2(U_8345,U_8344)
| ~ sP1474(U_8345,U_8342,U_8343,U_8344) )
& ! [U_8345,U_8342,U_8343,U_8344] :
( g1_vectsp_2(U_8345,u1_struct_0(U_8344),u1_rlvect_1(U_8344),u2_struct_0(U_8344),u1_vectsp_2(U_8345,U_8344)) = k1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| ~ sP1474(U_8345,U_8342,U_8343,U_8344) )
& ! [U_8345,U_8342,U_8343,U_8344] :
( r1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| k2_rmod_3(U_8345,U_8344,U_8343,U_8342) != k1_rmod_2(U_8345,U_8344)
| g1_vectsp_2(U_8345,u1_struct_0(U_8344),u1_rlvect_1(U_8344),u2_struct_0(U_8344),u1_vectsp_2(U_8345,U_8344)) != k1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| ~ sP1475(U_8345,U_8342,U_8343,U_8344) )
& ! [U_8345,U_8342,U_8343,U_8344] :
( sP1474(U_8345,U_8342,U_8343,U_8344)
| ~ r1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| ~ sP1475(U_8345,U_8342,U_8343,U_8344) )
& ! [U_8345,U_8342,U_8343,U_8344] :
( sP1475(U_8345,U_8342,U_8343,U_8344)
| ~ m1_rmod_2(U_8342,U_8345,U_8344)
| ~ m1_rmod_2(U_8343,U_8345,U_8344)
| ~ l1_vectsp_2(U_8344,U_8345)
| ~ v5_vectsp_2(U_8344,U_8345)
| ~ v6_rlvect_1(U_8344)
| ~ v5_rlvect_1(U_8344)
| ~ v4_rlvect_1(U_8344)
| ~ v3_rlvect_1(U_8344)
| v3_struct_0(U_8344)
| ~ l3_vectsp_1(U_8345)
| ~ v8_vectsp_1(U_8345)
| ~ v7_vectsp_1(U_8345)
| ~ v6_vectsp_1(U_8345)
| ~ v4_group_1(U_8345)
| ~ v6_rlvect_1(U_8345)
| ~ v5_rlvect_1(U_8345)
| ~ v4_rlvect_1(U_8345)
| ~ v3_rlvect_1(U_8345)
| v3_struct_0(U_8345) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1474,sP1475])],[f_3295_2]) ).
cnf(f_3295_4,plain,
( sP1475(U_8345,U_8342,U_8343,U_8344)
| ~ m1_rmod_2(U_8342,U_8345,U_8344)
| ~ m1_rmod_2(U_8343,U_8345,U_8344)
| ~ l1_vectsp_2(U_8344,U_8345)
| ~ v5_vectsp_2(U_8344,U_8345)
| ~ v6_rlvect_1(U_8344)
| ~ v5_rlvect_1(U_8344)
| ~ v4_rlvect_1(U_8344)
| ~ v3_rlvect_1(U_8344)
| v3_struct_0(U_8344)
| ~ l3_vectsp_1(U_8345)
| ~ v8_vectsp_1(U_8345)
| ~ v7_vectsp_1(U_8345)
| ~ v6_vectsp_1(U_8345)
| ~ v4_group_1(U_8345)
| ~ v6_rlvect_1(U_8345)
| ~ v5_rlvect_1(U_8345)
| ~ v4_rlvect_1(U_8345)
| ~ v3_rlvect_1(U_8345)
| v3_struct_0(U_8345) ),
inference(clausify,[status(thm)],[f_3295_3]) ).
cnf(f_3295_5,plain,
( sP1474(U_8345,U_8342,U_8343,U_8344)
| ~ r1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| ~ sP1475(U_8345,U_8342,U_8343,U_8344) ),
inference(clausify,[status(thm)],[f_3295_3]) ).
cnf(f_3295_6,plain,
( r1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| k2_rmod_3(U_8345,U_8344,U_8343,U_8342) != k1_rmod_2(U_8345,U_8344)
| g1_vectsp_2(U_8345,u1_struct_0(U_8344),u1_rlvect_1(U_8344),u2_struct_0(U_8344),u1_vectsp_2(U_8345,U_8344)) != k1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| ~ sP1475(U_8345,U_8342,U_8343,U_8344) ),
inference(clausify,[status(thm)],[f_3295_3]) ).
cnf(f_3295_7,plain,
( g1_vectsp_2(U_8345,u1_struct_0(U_8344),u1_rlvect_1(U_8344),u2_struct_0(U_8344),u1_vectsp_2(U_8345,U_8344)) = k1_rmod_3(U_8345,U_8344,U_8343,U_8342)
| ~ sP1474(U_8345,U_8342,U_8343,U_8344) ),
inference(clausify,[status(thm)],[f_3295_3]) ).
cnf(f_3295_8,plain,
( k2_rmod_3(U_8345,U_8344,U_8343,U_8342) = k1_rmod_2(U_8345,U_8344)
| ~ sP1474(U_8345,U_8342,U_8343,U_8344) ),
inference(clausify,[status(thm)],[f_3295_3]) ).
fof(f_3296_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t45_rmod_3]) ).
fof(f_3296_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3296_1]) ).
cnf(f_3296_3,plain,
$true,
inference(clausify,[status(thm)],[f_3296_2]) ).
fof(f_3297_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rmod_3(A,B,D,C)
| ~ r1_rmod_3(A,B,C,D)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t46_rmod_3]) ).
fof(f_3297_2,plain,
! [U_8349] :
( ! [U_8348] :
( ! [U_8347] :
( ! [U_8346] :
( r1_rmod_3(U_8349,U_8348,U_8346,U_8347)
| ~ r1_rmod_3(U_8349,U_8348,U_8347,U_8346)
| ~ m1_rmod_2(U_8346,U_8349,U_8348) )
| ~ m1_rmod_2(U_8347,U_8349,U_8348) )
| ~ l1_vectsp_2(U_8348,U_8349)
| ~ v5_vectsp_2(U_8348,U_8349)
| ~ v6_rlvect_1(U_8348)
| ~ v5_rlvect_1(U_8348)
| ~ v4_rlvect_1(U_8348)
| ~ v3_rlvect_1(U_8348)
| v3_struct_0(U_8348) )
| ~ l3_vectsp_1(U_8349)
| ~ v8_vectsp_1(U_8349)
| ~ v7_vectsp_1(U_8349)
| ~ v6_vectsp_1(U_8349)
| ~ v4_group_1(U_8349)
| ~ v6_rlvect_1(U_8349)
| ~ v5_rlvect_1(U_8349)
| ~ v4_rlvect_1(U_8349)
| ~ v3_rlvect_1(U_8349)
| v3_struct_0(U_8349) ),
inference(variable_rename,[status(thm)],[f_3297_1]) ).
fof(f_3297_3,plain,
! [U_8347,U_8348,U_8346,U_8349] :
( r1_rmod_3(U_8349,U_8348,U_8346,U_8347)
| ~ r1_rmod_3(U_8349,U_8348,U_8347,U_8346)
| ~ m1_rmod_2(U_8346,U_8349,U_8348)
| ~ m1_rmod_2(U_8347,U_8349,U_8348)
| ~ l1_vectsp_2(U_8348,U_8349)
| ~ v5_vectsp_2(U_8348,U_8349)
| ~ v6_rlvect_1(U_8348)
| ~ v5_rlvect_1(U_8348)
| ~ v4_rlvect_1(U_8348)
| ~ v3_rlvect_1(U_8348)
| v3_struct_0(U_8348)
| ~ l3_vectsp_1(U_8349)
| ~ v8_vectsp_1(U_8349)
| ~ v7_vectsp_1(U_8349)
| ~ v6_vectsp_1(U_8349)
| ~ v4_group_1(U_8349)
| ~ v6_rlvect_1(U_8349)
| ~ v5_rlvect_1(U_8349)
| ~ v4_rlvect_1(U_8349)
| ~ v3_rlvect_1(U_8349)
| v3_struct_0(U_8349) ),
inference(definitional_conversion,[status(esa)],[f_3297_2]) ).
cnf(f_3297_4,plain,
( r1_rmod_3(U_8349,U_8348,U_8346,U_8347)
| ~ r1_rmod_3(U_8349,U_8348,U_8347,U_8346)
| ~ m1_rmod_2(U_8346,U_8349,U_8348)
| ~ m1_rmod_2(U_8347,U_8349,U_8348)
| ~ l1_vectsp_2(U_8348,U_8349)
| ~ v5_vectsp_2(U_8348,U_8349)
| ~ v6_rlvect_1(U_8348)
| ~ v5_rlvect_1(U_8348)
| ~ v4_rlvect_1(U_8348)
| ~ v3_rlvect_1(U_8348)
| v3_struct_0(U_8348)
| ~ l3_vectsp_1(U_8349)
| ~ v8_vectsp_1(U_8349)
| ~ v7_vectsp_1(U_8349)
| ~ v6_vectsp_1(U_8349)
| ~ v4_group_1(U_8349)
| ~ v6_rlvect_1(U_8349)
| ~ v5_rlvect_1(U_8349)
| ~ v4_rlvect_1(U_8349)
| ~ v3_rlvect_1(U_8349)
| v3_struct_0(U_8349) ),
inference(clausify,[status(thm)],[f_3297_3]) ).
fof(f_3298_1,plain,
! [A] :
( ! [B] :
( ( r1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B))
& r1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_rmod_3]) ).
fof(f_3298_2,plain,
! [U_8351] :
( ! [U_8350] :
( ( r1_rmod_3(U_8351,U_8350,k2_rmod_2(U_8351,U_8350),k1_rmod_2(U_8351,U_8350))
& r1_rmod_3(U_8351,U_8350,k1_rmod_2(U_8351,U_8350),k2_rmod_2(U_8351,U_8350)) )
| ~ l1_vectsp_2(U_8350,U_8351)
| ~ v5_vectsp_2(U_8350,U_8351)
| ~ v3_vectsp_2(U_8350,U_8351)
| ~ v6_rlvect_1(U_8350)
| ~ v5_rlvect_1(U_8350)
| ~ v4_rlvect_1(U_8350)
| ~ v3_rlvect_1(U_8350)
| v3_struct_0(U_8350) )
| ~ l3_vectsp_1(U_8351)
| ~ v8_vectsp_1(U_8351)
| ~ v7_vectsp_1(U_8351)
| ~ v6_vectsp_1(U_8351)
| ~ v4_group_1(U_8351)
| ~ v6_rlvect_1(U_8351)
| ~ v5_rlvect_1(U_8351)
| ~ v4_rlvect_1(U_8351)
| ~ v3_rlvect_1(U_8351)
| v3_struct_0(U_8351) ),
inference(variable_rename,[status(thm)],[f_3298_1]) ).
fof(f_3298_3,plain,
( ! [U_8351,U_8350] :
( r1_rmod_3(U_8351,U_8350,k2_rmod_2(U_8351,U_8350),k1_rmod_2(U_8351,U_8350))
| ~ sP1476(U_8351,U_8350) )
& ! [U_8351,U_8350] :
( r1_rmod_3(U_8351,U_8350,k1_rmod_2(U_8351,U_8350),k2_rmod_2(U_8351,U_8350))
| ~ sP1476(U_8351,U_8350) )
& ! [U_8351,U_8350] :
( sP1476(U_8351,U_8350)
| ~ l1_vectsp_2(U_8350,U_8351)
| ~ v5_vectsp_2(U_8350,U_8351)
| ~ v3_vectsp_2(U_8350,U_8351)
| ~ v6_rlvect_1(U_8350)
| ~ v5_rlvect_1(U_8350)
| ~ v4_rlvect_1(U_8350)
| ~ v3_rlvect_1(U_8350)
| v3_struct_0(U_8350)
| ~ l3_vectsp_1(U_8351)
| ~ v8_vectsp_1(U_8351)
| ~ v7_vectsp_1(U_8351)
| ~ v6_vectsp_1(U_8351)
| ~ v4_group_1(U_8351)
| ~ v6_rlvect_1(U_8351)
| ~ v5_rlvect_1(U_8351)
| ~ v4_rlvect_1(U_8351)
| ~ v3_rlvect_1(U_8351)
| v3_struct_0(U_8351) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1476])],[f_3298_2]) ).
cnf(f_3298_4,plain,
( sP1476(U_8351,U_8350)
| ~ l1_vectsp_2(U_8350,U_8351)
| ~ v5_vectsp_2(U_8350,U_8351)
| ~ v3_vectsp_2(U_8350,U_8351)
| ~ v6_rlvect_1(U_8350)
| ~ v5_rlvect_1(U_8350)
| ~ v4_rlvect_1(U_8350)
| ~ v3_rlvect_1(U_8350)
| v3_struct_0(U_8350)
| ~ l3_vectsp_1(U_8351)
| ~ v8_vectsp_1(U_8351)
| ~ v7_vectsp_1(U_8351)
| ~ v6_vectsp_1(U_8351)
| ~ v4_group_1(U_8351)
| ~ v6_rlvect_1(U_8351)
| ~ v5_rlvect_1(U_8351)
| ~ v4_rlvect_1(U_8351)
| ~ v3_rlvect_1(U_8351)
| v3_struct_0(U_8351) ),
inference(clausify,[status(thm)],[f_3298_3]) ).
cnf(f_3298_5,plain,
( r1_rmod_3(U_8351,U_8350,k1_rmod_2(U_8351,U_8350),k2_rmod_2(U_8351,U_8350))
| ~ sP1476(U_8351,U_8350) ),
inference(clausify,[status(thm)],[f_3298_3]) ).
cnf(f_3298_6,plain,
( r1_rmod_3(U_8351,U_8350,k2_rmod_2(U_8351,U_8350),k1_rmod_2(U_8351,U_8350))
| ~ sP1476(U_8351,U_8350) ),
inference(clausify,[status(thm)],[f_3298_3]) ).
fof(f_3299_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( m2_rmod_2(k5_subset_1(u1_struct_0(B),E,F),A,B,k2_rmod_3(A,B,C,D))
| r1_xboole_0(E,F)
| ~ m2_rmod_2(F,A,B,D) )
| ~ m2_rmod_2(E,A,B,C) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t48_rmod_3]) ).
fof(f_3299_2,plain,
! [U_8357] :
( ! [U_8356] :
( ! [U_8355] :
( ! [U_8354] :
( ! [U_8353] :
( ! [U_8352] :
( m2_rmod_2(k5_subset_1(u1_struct_0(U_8356),U_8353,U_8352),U_8357,U_8356,k2_rmod_3(U_8357,U_8356,U_8355,U_8354))
| r1_xboole_0(U_8353,U_8352)
| ~ m2_rmod_2(U_8352,U_8357,U_8356,U_8354) )
| ~ m2_rmod_2(U_8353,U_8357,U_8356,U_8355) )
| ~ m1_rmod_2(U_8354,U_8357,U_8356) )
| ~ m1_rmod_2(U_8355,U_8357,U_8356) )
| ~ l1_vectsp_2(U_8356,U_8357)
| ~ v5_vectsp_2(U_8356,U_8357)
| ~ v6_rlvect_1(U_8356)
| ~ v5_rlvect_1(U_8356)
| ~ v4_rlvect_1(U_8356)
| ~ v3_rlvect_1(U_8356)
| v3_struct_0(U_8356) )
| ~ l3_vectsp_1(U_8357)
| ~ v8_vectsp_1(U_8357)
| ~ v7_vectsp_1(U_8357)
| ~ v6_vectsp_1(U_8357)
| ~ v4_group_1(U_8357)
| ~ v6_rlvect_1(U_8357)
| ~ v5_rlvect_1(U_8357)
| ~ v4_rlvect_1(U_8357)
| ~ v3_rlvect_1(U_8357)
| v3_struct_0(U_8357) ),
inference(variable_rename,[status(thm)],[f_3299_1]) ).
fof(f_3299_3,plain,
! [U_8355,U_8352,U_8357,U_8356,U_8353,U_8354] :
( m2_rmod_2(k5_subset_1(u1_struct_0(U_8356),U_8353,U_8352),U_8357,U_8356,k2_rmod_3(U_8357,U_8356,U_8355,U_8354))
| r1_xboole_0(U_8353,U_8352)
| ~ m2_rmod_2(U_8352,U_8357,U_8356,U_8354)
| ~ m2_rmod_2(U_8353,U_8357,U_8356,U_8355)
| ~ m1_rmod_2(U_8354,U_8357,U_8356)
| ~ m1_rmod_2(U_8355,U_8357,U_8356)
| ~ l1_vectsp_2(U_8356,U_8357)
| ~ v5_vectsp_2(U_8356,U_8357)
| ~ v6_rlvect_1(U_8356)
| ~ v5_rlvect_1(U_8356)
| ~ v4_rlvect_1(U_8356)
| ~ v3_rlvect_1(U_8356)
| v3_struct_0(U_8356)
| ~ l3_vectsp_1(U_8357)
| ~ v8_vectsp_1(U_8357)
| ~ v7_vectsp_1(U_8357)
| ~ v6_vectsp_1(U_8357)
| ~ v4_group_1(U_8357)
| ~ v6_rlvect_1(U_8357)
| ~ v5_rlvect_1(U_8357)
| ~ v4_rlvect_1(U_8357)
| ~ v3_rlvect_1(U_8357)
| v3_struct_0(U_8357) ),
inference(definitional_conversion,[status(esa)],[f_3299_2]) ).
cnf(f_3299_4,plain,
( m2_rmod_2(k5_subset_1(u1_struct_0(U_8356),U_8353,U_8352),U_8357,U_8356,k2_rmod_3(U_8357,U_8356,U_8355,U_8354))
| r1_xboole_0(U_8353,U_8352)
| ~ m2_rmod_2(U_8352,U_8357,U_8356,U_8354)
| ~ m2_rmod_2(U_8353,U_8357,U_8356,U_8355)
| ~ m1_rmod_2(U_8354,U_8357,U_8356)
| ~ m1_rmod_2(U_8355,U_8357,U_8356)
| ~ l1_vectsp_2(U_8356,U_8357)
| ~ v5_vectsp_2(U_8356,U_8357)
| ~ v6_rlvect_1(U_8356)
| ~ v5_rlvect_1(U_8356)
| ~ v4_rlvect_1(U_8356)
| ~ v3_rlvect_1(U_8356)
| v3_struct_0(U_8356)
| ~ l3_vectsp_1(U_8357)
| ~ v8_vectsp_1(U_8357)
| ~ v7_vectsp_1(U_8357)
| ~ v6_vectsp_1(U_8357)
| ~ v4_group_1(U_8357)
| ~ v6_rlvect_1(U_8357)
| ~ v5_rlvect_1(U_8357)
| ~ v4_rlvect_1(U_8357)
| ~ v3_rlvect_1(U_8357)
| v3_struct_0(U_8357) ),
inference(clausify,[status(thm)],[f_3299_3]) ).
fof(f_3300_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_rmod_3(A,B,C,D)
| ? [E] :
( ? [F] :
( ! [G] :
( k5_subset_1(u1_struct_0(B),E,F) != k6_domain_1(u1_struct_0(B),G)
| ~ m1_subset_1(G,u1_struct_0(B)) )
& m2_rmod_2(F,A,B,D) )
& m2_rmod_2(E,A,B,C) ) )
& ( ! [E] :
( ! [F] :
( ? [G] :
( k5_subset_1(u1_struct_0(B),E,F) = k6_domain_1(u1_struct_0(B),G)
& m1_subset_1(G,u1_struct_0(B)) )
| ~ m2_rmod_2(F,A,B,D) )
| ~ m2_rmod_2(E,A,B,C) )
| ~ r1_rmod_3(A,B,C,D) ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t49_rmod_3]) ).
fof(f_3300_2,plain,
! [U_8367] :
( ! [U_8366] :
( ! [U_8365] :
( ! [U_8364] :
( ( ( r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| ? [U_8363] :
( ? [U_8362] :
( ! [U_8361] :
( k5_subset_1(u1_struct_0(U_8366),U_8363,U_8362) != k6_domain_1(u1_struct_0(U_8366),U_8361)
| ~ m1_subset_1(U_8361,u1_struct_0(U_8366)) )
& m2_rmod_2(U_8362,U_8367,U_8366,U_8364) )
& m2_rmod_2(U_8363,U_8367,U_8366,U_8365) ) )
& ( ! [U_8360] :
( ! [U_8359] :
( ? [U_8358] :
( k5_subset_1(u1_struct_0(U_8366),U_8360,U_8359) = k6_domain_1(u1_struct_0(U_8366),U_8358)
& m1_subset_1(U_8358,u1_struct_0(U_8366)) )
| ~ m2_rmod_2(U_8359,U_8367,U_8366,U_8364) )
| ~ m2_rmod_2(U_8360,U_8367,U_8366,U_8365) )
| ~ r1_rmod_3(U_8367,U_8366,U_8365,U_8364) ) )
| ~ m1_rmod_2(U_8364,U_8367,U_8366) )
| ~ m1_rmod_2(U_8365,U_8367,U_8366) )
| ~ l1_vectsp_2(U_8366,U_8367)
| ~ v5_vectsp_2(U_8366,U_8367)
| ~ v6_rlvect_1(U_8366)
| ~ v5_rlvect_1(U_8366)
| ~ v4_rlvect_1(U_8366)
| ~ v3_rlvect_1(U_8366)
| v3_struct_0(U_8366) )
| ~ l3_vectsp_1(U_8367)
| ~ v8_vectsp_1(U_8367)
| ~ v7_vectsp_1(U_8367)
| ~ v6_vectsp_1(U_8367)
| ~ v4_group_1(U_8367)
| ~ v6_rlvect_1(U_8367)
| ~ v5_rlvect_1(U_8367)
| ~ v4_rlvect_1(U_8367)
| ~ v3_rlvect_1(U_8367)
| v3_struct_0(U_8367) ),
inference(variable_rename,[status(thm)],[f_3300_1]) ).
fof(f_3300_3,plain,
! [U_8367] :
( ! [U_8366] :
( ! [U_8365] :
( ! [U_8364] :
( ( ( r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| ? [U_8363] :
( ? [U_8362] :
( ! [U_8361] :
( k5_subset_1(u1_struct_0(U_8366),U_8363,U_8362) != k6_domain_1(u1_struct_0(U_8366),U_8361)
| ~ m1_subset_1(U_8361,u1_struct_0(U_8366)) )
& m2_rmod_2(U_8362,U_8367,U_8366,U_8364) )
& m2_rmod_2(U_8363,U_8367,U_8366,U_8365) ) )
& ( ! [U_8360] :
( ! [U_8359] :
( ( k5_subset_1(u1_struct_0(U_8366),U_8360,U_8359) = k6_domain_1(u1_struct_0(U_8366),sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359))
& m1_subset_1(sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359),u1_struct_0(U_8366)) )
| ~ m2_rmod_2(U_8359,U_8367,U_8366,U_8364) )
| ~ m2_rmod_2(U_8360,U_8367,U_8366,U_8365) )
| ~ r1_rmod_3(U_8367,U_8366,U_8365,U_8364) ) )
| ~ m1_rmod_2(U_8364,U_8367,U_8366) )
| ~ m1_rmod_2(U_8365,U_8367,U_8366) )
| ~ l1_vectsp_2(U_8366,U_8367)
| ~ v5_vectsp_2(U_8366,U_8367)
| ~ v6_rlvect_1(U_8366)
| ~ v5_rlvect_1(U_8366)
| ~ v4_rlvect_1(U_8366)
| ~ v3_rlvect_1(U_8366)
| v3_struct_0(U_8366) )
| ~ l3_vectsp_1(U_8367)
| ~ v8_vectsp_1(U_8367)
| ~ v7_vectsp_1(U_8367)
| ~ v6_vectsp_1(U_8367)
| ~ v4_group_1(U_8367)
| ~ v6_rlvect_1(U_8367)
| ~ v5_rlvect_1(U_8367)
| ~ v4_rlvect_1(U_8367)
| ~ v3_rlvect_1(U_8367)
| v3_struct_0(U_8367) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK968]),skolemize(U_8358,sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359))],[f_3300_2]) ).
fof(f_3300_4,plain,
! [U_8367] :
( ! [U_8366] :
( ! [U_8365] :
( ! [U_8364] :
( ( ( r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| ( ? [U_8362] :
( ! [U_8361] :
( k5_subset_1(u1_struct_0(U_8366),sK969(U_8367,U_8366,U_8365,U_8364),U_8362) != k6_domain_1(u1_struct_0(U_8366),U_8361)
| ~ m1_subset_1(U_8361,u1_struct_0(U_8366)) )
& m2_rmod_2(U_8362,U_8367,U_8366,U_8364) )
& m2_rmod_2(sK969(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8365) ) )
& ( ! [U_8360] :
( ! [U_8359] :
( ( k5_subset_1(u1_struct_0(U_8366),U_8360,U_8359) = k6_domain_1(u1_struct_0(U_8366),sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359))
& m1_subset_1(sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359),u1_struct_0(U_8366)) )
| ~ m2_rmod_2(U_8359,U_8367,U_8366,U_8364) )
| ~ m2_rmod_2(U_8360,U_8367,U_8366,U_8365) )
| ~ r1_rmod_3(U_8367,U_8366,U_8365,U_8364) ) )
| ~ m1_rmod_2(U_8364,U_8367,U_8366) )
| ~ m1_rmod_2(U_8365,U_8367,U_8366) )
| ~ l1_vectsp_2(U_8366,U_8367)
| ~ v5_vectsp_2(U_8366,U_8367)
| ~ v6_rlvect_1(U_8366)
| ~ v5_rlvect_1(U_8366)
| ~ v4_rlvect_1(U_8366)
| ~ v3_rlvect_1(U_8366)
| v3_struct_0(U_8366) )
| ~ l3_vectsp_1(U_8367)
| ~ v8_vectsp_1(U_8367)
| ~ v7_vectsp_1(U_8367)
| ~ v6_vectsp_1(U_8367)
| ~ v4_group_1(U_8367)
| ~ v6_rlvect_1(U_8367)
| ~ v5_rlvect_1(U_8367)
| ~ v4_rlvect_1(U_8367)
| ~ v3_rlvect_1(U_8367)
| v3_struct_0(U_8367) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK969]),skolemize(U_8363,sK969(U_8367,U_8366,U_8365,U_8364))],[f_3300_3]) ).
fof(f_3300_5,plain,
! [U_8367] :
( ! [U_8366] :
( ! [U_8365] :
( ! [U_8364] :
( ( ( r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| ( ! [U_8361] :
( k5_subset_1(u1_struct_0(U_8366),sK969(U_8367,U_8366,U_8365,U_8364),sK970(U_8367,U_8366,U_8365,U_8364)) != k6_domain_1(u1_struct_0(U_8366),U_8361)
| ~ m1_subset_1(U_8361,u1_struct_0(U_8366)) )
& m2_rmod_2(sK970(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8364)
& m2_rmod_2(sK969(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8365) ) )
& ( ! [U_8360] :
( ! [U_8359] :
( ( k5_subset_1(u1_struct_0(U_8366),U_8360,U_8359) = k6_domain_1(u1_struct_0(U_8366),sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359))
& m1_subset_1(sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359),u1_struct_0(U_8366)) )
| ~ m2_rmod_2(U_8359,U_8367,U_8366,U_8364) )
| ~ m2_rmod_2(U_8360,U_8367,U_8366,U_8365) )
| ~ r1_rmod_3(U_8367,U_8366,U_8365,U_8364) ) )
| ~ m1_rmod_2(U_8364,U_8367,U_8366) )
| ~ m1_rmod_2(U_8365,U_8367,U_8366) )
| ~ l1_vectsp_2(U_8366,U_8367)
| ~ v5_vectsp_2(U_8366,U_8367)
| ~ v6_rlvect_1(U_8366)
| ~ v5_rlvect_1(U_8366)
| ~ v4_rlvect_1(U_8366)
| ~ v3_rlvect_1(U_8366)
| v3_struct_0(U_8366) )
| ~ l3_vectsp_1(U_8367)
| ~ v8_vectsp_1(U_8367)
| ~ v7_vectsp_1(U_8367)
| ~ v6_vectsp_1(U_8367)
| ~ v4_group_1(U_8367)
| ~ v6_rlvect_1(U_8367)
| ~ v5_rlvect_1(U_8367)
| ~ v4_rlvect_1(U_8367)
| ~ v3_rlvect_1(U_8367)
| v3_struct_0(U_8367) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK970]),skolemize(U_8362,sK970(U_8367,U_8366,U_8365,U_8364))],[f_3300_4]) ).
fof(f_3300_6,plain,
( ! [U_8364,U_8365,U_8366,U_8367,U_8361] :
( k5_subset_1(u1_struct_0(U_8366),sK969(U_8367,U_8366,U_8365,U_8364),sK970(U_8367,U_8366,U_8365,U_8364)) != k6_domain_1(u1_struct_0(U_8366),U_8361)
| ~ m1_subset_1(U_8361,u1_struct_0(U_8366))
| ~ sP1478(U_8364,U_8365,U_8366,U_8367,U_8361) )
& ! [U_8364,U_8365,U_8366,U_8367,U_8361] :
( m2_rmod_2(sK970(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8364)
| ~ sP1478(U_8364,U_8365,U_8366,U_8367,U_8361) )
& ! [U_8364,U_8365,U_8366,U_8367,U_8361] :
( m2_rmod_2(sK969(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8365)
| ~ sP1478(U_8364,U_8365,U_8366,U_8367,U_8361) )
& ! [U_8359,U_8364,U_8365,U_8360,U_8366,U_8367] :
( k5_subset_1(u1_struct_0(U_8366),U_8360,U_8359) = k6_domain_1(u1_struct_0(U_8366),sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359))
| ~ sP1477(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367) )
& ! [U_8359,U_8364,U_8365,U_8360,U_8366,U_8367] :
( m1_subset_1(sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359),u1_struct_0(U_8366))
| ~ sP1477(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367) )
& ! [U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361] :
( r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| sP1478(U_8364,U_8365,U_8366,U_8367,U_8361)
| ~ sP1479(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361) )
& ! [U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361] :
( sP1477(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367)
| ~ m2_rmod_2(U_8359,U_8367,U_8366,U_8364)
| ~ m2_rmod_2(U_8360,U_8367,U_8366,U_8365)
| ~ r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| ~ sP1479(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361) )
& ! [U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361] :
( sP1479(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361)
| ~ m1_rmod_2(U_8364,U_8367,U_8366)
| ~ m1_rmod_2(U_8365,U_8367,U_8366)
| ~ l1_vectsp_2(U_8366,U_8367)
| ~ v5_vectsp_2(U_8366,U_8367)
| ~ v6_rlvect_1(U_8366)
| ~ v5_rlvect_1(U_8366)
| ~ v4_rlvect_1(U_8366)
| ~ v3_rlvect_1(U_8366)
| v3_struct_0(U_8366)
| ~ l3_vectsp_1(U_8367)
| ~ v8_vectsp_1(U_8367)
| ~ v7_vectsp_1(U_8367)
| ~ v6_vectsp_1(U_8367)
| ~ v4_group_1(U_8367)
| ~ v6_rlvect_1(U_8367)
| ~ v5_rlvect_1(U_8367)
| ~ v4_rlvect_1(U_8367)
| ~ v3_rlvect_1(U_8367)
| v3_struct_0(U_8367) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1477,sP1478,sP1479])],[f_3300_5]) ).
cnf(f_3300_7,plain,
( sP1479(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361)
| ~ m1_rmod_2(U_8364,U_8367,U_8366)
| ~ m1_rmod_2(U_8365,U_8367,U_8366)
| ~ l1_vectsp_2(U_8366,U_8367)
| ~ v5_vectsp_2(U_8366,U_8367)
| ~ v6_rlvect_1(U_8366)
| ~ v5_rlvect_1(U_8366)
| ~ v4_rlvect_1(U_8366)
| ~ v3_rlvect_1(U_8366)
| v3_struct_0(U_8366)
| ~ l3_vectsp_1(U_8367)
| ~ v8_vectsp_1(U_8367)
| ~ v7_vectsp_1(U_8367)
| ~ v6_vectsp_1(U_8367)
| ~ v4_group_1(U_8367)
| ~ v6_rlvect_1(U_8367)
| ~ v5_rlvect_1(U_8367)
| ~ v4_rlvect_1(U_8367)
| ~ v3_rlvect_1(U_8367)
| v3_struct_0(U_8367) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_8,plain,
( sP1477(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367)
| ~ m2_rmod_2(U_8359,U_8367,U_8366,U_8364)
| ~ m2_rmod_2(U_8360,U_8367,U_8366,U_8365)
| ~ r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| ~ sP1479(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_9,plain,
( r1_rmod_3(U_8367,U_8366,U_8365,U_8364)
| sP1478(U_8364,U_8365,U_8366,U_8367,U_8361)
| ~ sP1479(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367,U_8361) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_10,plain,
( m1_subset_1(sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359),u1_struct_0(U_8366))
| ~ sP1477(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_11,plain,
( k5_subset_1(u1_struct_0(U_8366),U_8360,U_8359) = k6_domain_1(u1_struct_0(U_8366),sK968(U_8367,U_8366,U_8365,U_8364,U_8360,U_8359))
| ~ sP1477(U_8359,U_8364,U_8365,U_8360,U_8366,U_8367) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_12,plain,
( m2_rmod_2(sK969(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8365)
| ~ sP1478(U_8364,U_8365,U_8366,U_8367,U_8361) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_13,plain,
( m2_rmod_2(sK970(U_8367,U_8366,U_8365,U_8364),U_8367,U_8366,U_8364)
| ~ sP1478(U_8364,U_8365,U_8366,U_8367,U_8361) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
cnf(f_3300_14,plain,
( k5_subset_1(u1_struct_0(U_8366),sK969(U_8367,U_8366,U_8365,U_8364),sK970(U_8367,U_8366,U_8365,U_8364)) != k6_domain_1(u1_struct_0(U_8366),U_8361)
| ~ m1_subset_1(U_8361,u1_struct_0(U_8366))
| ~ sP1478(U_8364,U_8365,U_8366,U_8367,U_8361) ),
inference(clausify,[status(thm)],[f_3300_6]) ).
fof(f_3301_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k1_rmod_3(A,B,C,D) = B
| ? [E] :
( ! [F] :
( ! [G] :
( E != k4_rlvect_1(B,F,G)
| ~ r1_rlvect_1(D,G)
| ~ r1_rlvect_1(C,F)
| ~ m1_subset_1(G,u1_struct_0(B)) )
| ~ m1_subset_1(F,u1_struct_0(B)) )
& m1_subset_1(E,u1_struct_0(B)) ) )
& ( ! [E] :
( ? [F] :
( ? [G] :
( E = k4_rlvect_1(B,F,G)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,F)
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| k1_rmod_3(A,B,C,D) != B ) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v3_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t50_rmod_3]) ).
fof(f_3301_2,plain,
! [U_8377] :
( ! [U_8376] :
( ! [U_8375] :
( ! [U_8374] :
( ( ( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| ? [U_8373] :
( ! [U_8372] :
( ! [U_8371] :
( U_8373 != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376)) )
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376)) )
& m1_subset_1(U_8373,u1_struct_0(U_8376)) ) )
& ( ! [U_8370] :
( ? [U_8369] :
( ? [U_8368] :
( U_8370 = k4_rlvect_1(U_8376,U_8369,U_8368)
& r1_rlvect_1(U_8374,U_8368)
& r1_rlvect_1(U_8375,U_8369)
& m1_subset_1(U_8368,u1_struct_0(U_8376)) )
& m1_subset_1(U_8369,u1_struct_0(U_8376)) )
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376)) )
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376 ) )
| ~ m1_rmod_2(U_8374,U_8377,U_8376) )
| ~ m1_rmod_2(U_8375,U_8377,U_8376) )
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376) )
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ),
inference(variable_rename,[status(thm)],[f_3301_1]) ).
fof(f_3301_3,plain,
! [U_8377] :
( ! [U_8376] :
( ! [U_8375] :
( ! [U_8374] :
( ( ( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| ? [U_8373] :
( ! [U_8372] :
( ! [U_8371] :
( U_8373 != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376)) )
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376)) )
& m1_subset_1(U_8373,u1_struct_0(U_8376)) ) )
& ( ! [U_8370] :
( ? [U_8369] :
( ? [U_8368] :
( U_8370 = k4_rlvect_1(U_8376,U_8369,U_8368)
& r1_rlvect_1(U_8374,U_8368)
& m1_subset_1(U_8368,u1_struct_0(U_8376)) )
& r1_rlvect_1(U_8375,U_8369)
& m1_subset_1(U_8369,u1_struct_0(U_8376)) )
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376)) )
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376 ) )
| ~ m1_rmod_2(U_8374,U_8377,U_8376) )
| ~ m1_rmod_2(U_8375,U_8377,U_8376) )
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376) )
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ),
inference(miniscope,[status(thm)],[f_3301_2]) ).
fof(f_3301_4,plain,
! [U_8377] :
( ! [U_8376] :
( ! [U_8375] :
( ! [U_8374] :
( ( ( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| ? [U_8373] :
( ! [U_8372] :
( ! [U_8371] :
( U_8373 != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376)) )
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376)) )
& m1_subset_1(U_8373,u1_struct_0(U_8376)) ) )
& ( ! [U_8370] :
( ( ? [U_8368] :
( U_8370 = k4_rlvect_1(U_8376,sK971(U_8377,U_8376,U_8375,U_8374,U_8370),U_8368)
& r1_rlvect_1(U_8374,U_8368)
& m1_subset_1(U_8368,u1_struct_0(U_8376)) )
& r1_rlvect_1(U_8375,sK971(U_8377,U_8376,U_8375,U_8374,U_8370))
& m1_subset_1(sK971(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376)) )
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376)) )
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376 ) )
| ~ m1_rmod_2(U_8374,U_8377,U_8376) )
| ~ m1_rmod_2(U_8375,U_8377,U_8376) )
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376) )
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK971]),skolemize(U_8369,sK971(U_8377,U_8376,U_8375,U_8374,U_8370))],[f_3301_3]) ).
fof(f_3301_5,plain,
! [U_8377] :
( ! [U_8376] :
( ! [U_8375] :
( ! [U_8374] :
( ( ( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| ? [U_8373] :
( ! [U_8372] :
( ! [U_8371] :
( U_8373 != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376)) )
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376)) )
& m1_subset_1(U_8373,u1_struct_0(U_8376)) ) )
& ( ! [U_8370] :
( ( U_8370 = k4_rlvect_1(U_8376,sK971(U_8377,U_8376,U_8375,U_8374,U_8370),sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
& r1_rlvect_1(U_8374,sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
& m1_subset_1(sK972(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376))
& r1_rlvect_1(U_8375,sK971(U_8377,U_8376,U_8375,U_8374,U_8370))
& m1_subset_1(sK971(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376)) )
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376)) )
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376 ) )
| ~ m1_rmod_2(U_8374,U_8377,U_8376) )
| ~ m1_rmod_2(U_8375,U_8377,U_8376) )
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376) )
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK972]),skolemize(U_8368,sK972(U_8377,U_8376,U_8375,U_8374,U_8370))],[f_3301_4]) ).
fof(f_3301_6,plain,
! [U_8377] :
( ! [U_8376] :
( ! [U_8375] :
( ! [U_8374] :
( ( ( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| ( ! [U_8372] :
( ! [U_8371] :
( sK973(U_8377,U_8376,U_8375,U_8374) != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376)) )
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376)) )
& m1_subset_1(sK973(U_8377,U_8376,U_8375,U_8374),u1_struct_0(U_8376)) ) )
& ( ! [U_8370] :
( ( U_8370 = k4_rlvect_1(U_8376,sK971(U_8377,U_8376,U_8375,U_8374,U_8370),sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
& r1_rlvect_1(U_8374,sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
& m1_subset_1(sK972(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376))
& r1_rlvect_1(U_8375,sK971(U_8377,U_8376,U_8375,U_8374,U_8370))
& m1_subset_1(sK971(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376)) )
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376)) )
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376 ) )
| ~ m1_rmod_2(U_8374,U_8377,U_8376) )
| ~ m1_rmod_2(U_8375,U_8377,U_8376) )
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376) )
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK973]),skolemize(U_8373,sK973(U_8377,U_8376,U_8375,U_8374))],[f_3301_5]) ).
fof(f_3301_7,plain,
( ! [U_8371,U_8377,U_8375,U_8372,U_8374,U_8376] :
( sK973(U_8377,U_8376,U_8375,U_8374) != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376))
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376))
| ~ sP1481(U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) )
& ! [U_8371,U_8377,U_8375,U_8372,U_8374,U_8376] :
( m1_subset_1(sK973(U_8377,U_8376,U_8375,U_8374),u1_struct_0(U_8376))
| ~ sP1481(U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) )
& ! [U_8370,U_8377,U_8375,U_8374,U_8376] :
( U_8370 = k4_rlvect_1(U_8376,sK971(U_8377,U_8376,U_8375,U_8374,U_8370),sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) )
& ! [U_8370,U_8377,U_8375,U_8374,U_8376] :
( r1_rlvect_1(U_8374,sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) )
& ! [U_8370,U_8377,U_8375,U_8374,U_8376] :
( m1_subset_1(sK972(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) )
& ! [U_8370,U_8377,U_8375,U_8374,U_8376] :
( r1_rlvect_1(U_8375,sK971(U_8377,U_8376,U_8375,U_8374,U_8370))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) )
& ! [U_8370,U_8377,U_8375,U_8374,U_8376] :
( m1_subset_1(sK971(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) )
& ! [U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376] :
( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| sP1481(U_8371,U_8377,U_8375,U_8372,U_8374,U_8376)
| ~ sP1482(U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) )
& ! [U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376] :
( sP1480(U_8370,U_8377,U_8375,U_8374,U_8376)
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376))
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376
| ~ sP1482(U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) )
& ! [U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376] :
( sP1482(U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376)
| ~ m1_rmod_2(U_8374,U_8377,U_8376)
| ~ m1_rmod_2(U_8375,U_8377,U_8376)
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376)
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1480,sP1481,sP1482])],[f_3301_6]) ).
cnf(f_3301_8,plain,
( sP1482(U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376)
| ~ m1_rmod_2(U_8374,U_8377,U_8376)
| ~ m1_rmod_2(U_8375,U_8377,U_8376)
| ~ l1_vectsp_2(U_8376,U_8377)
| ~ v5_vectsp_2(U_8376,U_8377)
| ~ v3_vectsp_2(U_8376,U_8377)
| ~ v6_rlvect_1(U_8376)
| ~ v5_rlvect_1(U_8376)
| ~ v4_rlvect_1(U_8376)
| ~ v3_rlvect_1(U_8376)
| v3_struct_0(U_8376)
| ~ l3_vectsp_1(U_8377)
| ~ v8_vectsp_1(U_8377)
| ~ v7_vectsp_1(U_8377)
| ~ v6_vectsp_1(U_8377)
| ~ v4_group_1(U_8377)
| ~ v6_rlvect_1(U_8377)
| ~ v5_rlvect_1(U_8377)
| ~ v4_rlvect_1(U_8377)
| ~ v3_rlvect_1(U_8377)
| v3_struct_0(U_8377) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_9,plain,
( sP1480(U_8370,U_8377,U_8375,U_8374,U_8376)
| ~ m1_subset_1(U_8370,u1_struct_0(U_8376))
| k1_rmod_3(U_8377,U_8376,U_8375,U_8374) != U_8376
| ~ sP1482(U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_10,plain,
( k1_rmod_3(U_8377,U_8376,U_8375,U_8374) = U_8376
| sP1481(U_8371,U_8377,U_8375,U_8372,U_8374,U_8376)
| ~ sP1482(U_8370,U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_11,plain,
( m1_subset_1(sK971(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_12,plain,
( r1_rlvect_1(U_8375,sK971(U_8377,U_8376,U_8375,U_8374,U_8370))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_13,plain,
( m1_subset_1(sK972(U_8377,U_8376,U_8375,U_8374,U_8370),u1_struct_0(U_8376))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_14,plain,
( r1_rlvect_1(U_8374,sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_15,plain,
( U_8370 = k4_rlvect_1(U_8376,sK971(U_8377,U_8376,U_8375,U_8374,U_8370),sK972(U_8377,U_8376,U_8375,U_8374,U_8370))
| ~ sP1480(U_8370,U_8377,U_8375,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_16,plain,
( m1_subset_1(sK973(U_8377,U_8376,U_8375,U_8374),u1_struct_0(U_8376))
| ~ sP1481(U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
cnf(f_3301_17,plain,
( sK973(U_8377,U_8376,U_8375,U_8374) != k4_rlvect_1(U_8376,U_8372,U_8371)
| ~ r1_rlvect_1(U_8374,U_8371)
| ~ m1_subset_1(U_8371,u1_struct_0(U_8376))
| ~ r1_rlvect_1(U_8375,U_8372)
| ~ m1_subset_1(U_8372,u1_struct_0(U_8376))
| ~ sP1481(U_8371,U_8377,U_8375,U_8372,U_8374,U_8376) ),
inference(clausify,[status(thm)],[f_3301_7]) ).
fof(f_3302_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( ! [H] :
( ! [I] :
( ( G = I
& F = H )
| ~ r1_rlvect_1(D,I)
| ~ r1_rlvect_1(D,G)
| ~ r1_rlvect_1(C,H)
| ~ r1_rlvect_1(C,F)
| E != k4_rlvect_1(B,H,I)
| E != k4_rlvect_1(B,F,G)
| ~ r1_rmod_3(A,B,C,D)
| ~ m1_subset_1(I,u1_struct_0(B)) )
| ~ m1_subset_1(H,u1_struct_0(B)) )
| ~ m1_subset_1(G,u1_struct_0(B)) )
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t51_rmod_3]) ).
fof(f_3302_2,plain,
! [U_8386] :
( ! [U_8385] :
( ! [U_8384] :
( ! [U_8383] :
( ! [U_8382] :
( ! [U_8381] :
( ! [U_8380] :
( ! [U_8379] :
( ! [U_8378] :
( ( U_8380 = U_8378
& U_8381 = U_8379 )
| ~ r1_rlvect_1(U_8383,U_8378)
| ~ r1_rlvect_1(U_8383,U_8380)
| ~ r1_rlvect_1(U_8384,U_8379)
| ~ r1_rlvect_1(U_8384,U_8381)
| U_8382 != k4_rlvect_1(U_8385,U_8379,U_8378)
| U_8382 != k4_rlvect_1(U_8385,U_8381,U_8380)
| ~ r1_rmod_3(U_8386,U_8385,U_8384,U_8383)
| ~ m1_subset_1(U_8378,u1_struct_0(U_8385)) )
| ~ m1_subset_1(U_8379,u1_struct_0(U_8385)) )
| ~ m1_subset_1(U_8380,u1_struct_0(U_8385)) )
| ~ m1_subset_1(U_8381,u1_struct_0(U_8385)) )
| ~ m1_subset_1(U_8382,u1_struct_0(U_8385)) )
| ~ m1_rmod_2(U_8383,U_8386,U_8385) )
| ~ m1_rmod_2(U_8384,U_8386,U_8385) )
| ~ l1_vectsp_2(U_8385,U_8386)
| ~ v5_vectsp_2(U_8385,U_8386)
| ~ v6_rlvect_1(U_8385)
| ~ v5_rlvect_1(U_8385)
| ~ v4_rlvect_1(U_8385)
| ~ v3_rlvect_1(U_8385)
| v3_struct_0(U_8385) )
| ~ l3_vectsp_1(U_8386)
| ~ v8_vectsp_1(U_8386)
| ~ v7_vectsp_1(U_8386)
| ~ v6_vectsp_1(U_8386)
| ~ v4_group_1(U_8386)
| ~ v6_rlvect_1(U_8386)
| ~ v5_rlvect_1(U_8386)
| ~ v4_rlvect_1(U_8386)
| ~ v3_rlvect_1(U_8386)
| v3_struct_0(U_8386) ),
inference(variable_rename,[status(thm)],[f_3302_1]) ).
fof(f_3302_3,plain,
( ! [U_8379,U_8381,U_8380,U_8378] :
( U_8380 = U_8378
| ~ sP1483(U_8379,U_8381,U_8380,U_8378) )
& ! [U_8379,U_8381,U_8380,U_8378] :
( U_8381 = U_8379
| ~ sP1483(U_8379,U_8381,U_8380,U_8378) )
& ! [U_8383,U_8384,U_8385,U_8379,U_8386,U_8381,U_8382,U_8380,U_8378] :
( sP1483(U_8379,U_8381,U_8380,U_8378)
| ~ r1_rlvect_1(U_8383,U_8378)
| ~ r1_rlvect_1(U_8383,U_8380)
| ~ r1_rlvect_1(U_8384,U_8379)
| ~ r1_rlvect_1(U_8384,U_8381)
| U_8382 != k4_rlvect_1(U_8385,U_8379,U_8378)
| U_8382 != k4_rlvect_1(U_8385,U_8381,U_8380)
| ~ r1_rmod_3(U_8386,U_8385,U_8384,U_8383)
| ~ m1_subset_1(U_8378,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8379,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8380,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8381,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8382,u1_struct_0(U_8385))
| ~ m1_rmod_2(U_8383,U_8386,U_8385)
| ~ m1_rmod_2(U_8384,U_8386,U_8385)
| ~ l1_vectsp_2(U_8385,U_8386)
| ~ v5_vectsp_2(U_8385,U_8386)
| ~ v6_rlvect_1(U_8385)
| ~ v5_rlvect_1(U_8385)
| ~ v4_rlvect_1(U_8385)
| ~ v3_rlvect_1(U_8385)
| v3_struct_0(U_8385)
| ~ l3_vectsp_1(U_8386)
| ~ v8_vectsp_1(U_8386)
| ~ v7_vectsp_1(U_8386)
| ~ v6_vectsp_1(U_8386)
| ~ v4_group_1(U_8386)
| ~ v6_rlvect_1(U_8386)
| ~ v5_rlvect_1(U_8386)
| ~ v4_rlvect_1(U_8386)
| ~ v3_rlvect_1(U_8386)
| v3_struct_0(U_8386) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1483])],[f_3302_2]) ).
cnf(f_3302_4,plain,
( sP1483(U_8379,U_8381,U_8380,U_8378)
| ~ r1_rlvect_1(U_8383,U_8378)
| ~ r1_rlvect_1(U_8383,U_8380)
| ~ r1_rlvect_1(U_8384,U_8379)
| ~ r1_rlvect_1(U_8384,U_8381)
| U_8382 != k4_rlvect_1(U_8385,U_8379,U_8378)
| U_8382 != k4_rlvect_1(U_8385,U_8381,U_8380)
| ~ r1_rmod_3(U_8386,U_8385,U_8384,U_8383)
| ~ m1_subset_1(U_8378,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8379,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8380,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8381,u1_struct_0(U_8385))
| ~ m1_subset_1(U_8382,u1_struct_0(U_8385))
| ~ m1_rmod_2(U_8383,U_8386,U_8385)
| ~ m1_rmod_2(U_8384,U_8386,U_8385)
| ~ l1_vectsp_2(U_8385,U_8386)
| ~ v5_vectsp_2(U_8385,U_8386)
| ~ v6_rlvect_1(U_8385)
| ~ v5_rlvect_1(U_8385)
| ~ v4_rlvect_1(U_8385)
| ~ v3_rlvect_1(U_8385)
| v3_struct_0(U_8385)
| ~ l3_vectsp_1(U_8386)
| ~ v8_vectsp_1(U_8386)
| ~ v7_vectsp_1(U_8386)
| ~ v6_vectsp_1(U_8386)
| ~ v4_group_1(U_8386)
| ~ v6_rlvect_1(U_8386)
| ~ v5_rlvect_1(U_8386)
| ~ v4_rlvect_1(U_8386)
| ~ v3_rlvect_1(U_8386)
| v3_struct_0(U_8386) ),
inference(clausify,[status(thm)],[f_3302_3]) ).
cnf(f_3302_5,plain,
( U_8381 = U_8379
| ~ sP1483(U_8379,U_8381,U_8380,U_8378) ),
inference(clausify,[status(thm)],[f_3302_3]) ).
cnf(f_3302_6,plain,
( U_8380 = U_8378
| ~ sP1483(U_8379,U_8381,U_8380,U_8378) ),
inference(clausify,[status(thm)],[f_3302_3]) ).
fof(f_3303_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rmod_3(A,B,C,D)
| ! [E] :
( ? [F] :
( ? [G] :
( ? [H] :
( ? [I] :
( ( G != I
| F != H )
& r1_rlvect_1(D,I)
& r1_rlvect_1(D,G)
& r1_rlvect_1(C,H)
& r1_rlvect_1(C,F)
& E = k4_rlvect_1(B,H,I)
& E = k4_rlvect_1(B,F,G)
& m1_subset_1(I,u1_struct_0(B)) )
& m1_subset_1(H,u1_struct_0(B)) )
& m1_subset_1(G,u1_struct_0(B)) )
& m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| B != k1_rmod_3(A,B,C,D)
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t52_rmod_3]) ).
fof(f_3303_2,plain,
! [U_8395] :
( ! [U_8394] :
( ! [U_8393] :
( ! [U_8392] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ! [U_8391] :
( ? [U_8390] :
( ? [U_8389] :
( ? [U_8388] :
( ? [U_8387] :
( ( U_8389 != U_8387
| U_8390 != U_8388 )
& r1_rlvect_1(U_8392,U_8387)
& r1_rlvect_1(U_8392,U_8389)
& r1_rlvect_1(U_8393,U_8388)
& r1_rlvect_1(U_8393,U_8390)
& U_8391 = k4_rlvect_1(U_8394,U_8388,U_8387)
& U_8391 = k4_rlvect_1(U_8394,U_8390,U_8389)
& m1_subset_1(U_8387,u1_struct_0(U_8394)) )
& m1_subset_1(U_8388,u1_struct_0(U_8394)) )
& m1_subset_1(U_8389,u1_struct_0(U_8394)) )
& m1_subset_1(U_8390,u1_struct_0(U_8394)) )
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394)) )
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394) )
| ~ m1_rmod_2(U_8393,U_8395,U_8394) )
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394) )
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(variable_rename,[status(thm)],[f_3303_1]) ).
fof(f_3303_3,plain,
! [U_8395] :
( ! [U_8394] :
( ! [U_8393] :
( ! [U_8392] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ! [U_8391] :
( ? [U_8390] :
( ? [U_8389] :
( ? [U_8388] :
( ? [U_8387] :
( ( U_8389 != U_8387
| U_8390 != U_8388 )
& r1_rlvect_1(U_8392,U_8387)
& U_8391 = k4_rlvect_1(U_8394,U_8388,U_8387)
& m1_subset_1(U_8387,u1_struct_0(U_8394)) )
& r1_rlvect_1(U_8392,U_8389)
& r1_rlvect_1(U_8393,U_8388)
& r1_rlvect_1(U_8393,U_8390)
& U_8391 = k4_rlvect_1(U_8394,U_8390,U_8389)
& m1_subset_1(U_8388,u1_struct_0(U_8394)) )
& m1_subset_1(U_8389,u1_struct_0(U_8394)) )
& m1_subset_1(U_8390,u1_struct_0(U_8394)) )
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394)) )
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394) )
| ~ m1_rmod_2(U_8393,U_8395,U_8394) )
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394) )
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(miniscope,[status(thm)],[f_3303_2]) ).
fof(f_3303_4,plain,
! [U_8395] :
( ! [U_8394] :
( ! [U_8393] :
( ! [U_8392] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ! [U_8391] :
( ( ? [U_8389] :
( ? [U_8388] :
( ? [U_8387] :
( ( U_8389 != U_8387
| sK974(U_8395,U_8394,U_8393,U_8392,U_8391) != U_8388 )
& r1_rlvect_1(U_8392,U_8387)
& U_8391 = k4_rlvect_1(U_8394,U_8388,U_8387)
& m1_subset_1(U_8387,u1_struct_0(U_8394)) )
& r1_rlvect_1(U_8392,U_8389)
& r1_rlvect_1(U_8393,U_8388)
& r1_rlvect_1(U_8393,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))
& U_8391 = k4_rlvect_1(U_8394,sK974(U_8395,U_8394,U_8393,U_8392,U_8391),U_8389)
& m1_subset_1(U_8388,u1_struct_0(U_8394)) )
& m1_subset_1(U_8389,u1_struct_0(U_8394)) )
& m1_subset_1(sK974(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394)) )
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394)) )
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394) )
| ~ m1_rmod_2(U_8393,U_8395,U_8394) )
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394) )
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK974]),skolemize(U_8390,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))],[f_3303_3]) ).
fof(f_3303_5,plain,
! [U_8395] :
( ! [U_8394] :
( ! [U_8393] :
( ! [U_8392] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ! [U_8391] :
( ( ? [U_8388] :
( ? [U_8387] :
( ( sK975(U_8395,U_8394,U_8393,U_8392,U_8391) != U_8387
| sK974(U_8395,U_8394,U_8393,U_8392,U_8391) != U_8388 )
& r1_rlvect_1(U_8392,U_8387)
& U_8391 = k4_rlvect_1(U_8394,U_8388,U_8387)
& m1_subset_1(U_8387,u1_struct_0(U_8394)) )
& r1_rlvect_1(U_8392,sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
& r1_rlvect_1(U_8393,U_8388)
& r1_rlvect_1(U_8393,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))
& U_8391 = k4_rlvect_1(U_8394,sK974(U_8395,U_8394,U_8393,U_8392,U_8391),sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
& m1_subset_1(U_8388,u1_struct_0(U_8394)) )
& m1_subset_1(sK975(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
& m1_subset_1(sK974(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394)) )
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394)) )
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394) )
| ~ m1_rmod_2(U_8393,U_8395,U_8394) )
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394) )
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK975]),skolemize(U_8389,sK975(U_8395,U_8394,U_8393,U_8392,U_8391))],[f_3303_4]) ).
fof(f_3303_6,plain,
! [U_8395] :
( ! [U_8394] :
( ! [U_8393] :
( ! [U_8392] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ! [U_8391] :
( ( ? [U_8387] :
( ( sK975(U_8395,U_8394,U_8393,U_8392,U_8391) != U_8387
| sK974(U_8395,U_8394,U_8393,U_8392,U_8391) != sK976(U_8395,U_8394,U_8393,U_8392,U_8391) )
& r1_rlvect_1(U_8392,U_8387)
& U_8391 = k4_rlvect_1(U_8394,sK976(U_8395,U_8394,U_8393,U_8392,U_8391),U_8387)
& m1_subset_1(U_8387,u1_struct_0(U_8394)) )
& r1_rlvect_1(U_8392,sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
& r1_rlvect_1(U_8393,sK976(U_8395,U_8394,U_8393,U_8392,U_8391))
& r1_rlvect_1(U_8393,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))
& U_8391 = k4_rlvect_1(U_8394,sK974(U_8395,U_8394,U_8393,U_8392,U_8391),sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
& m1_subset_1(sK976(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
& m1_subset_1(sK975(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
& m1_subset_1(sK974(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394)) )
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394)) )
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394) )
| ~ m1_rmod_2(U_8393,U_8395,U_8394) )
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394) )
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK976]),skolemize(U_8388,sK976(U_8395,U_8394,U_8393,U_8392,U_8391))],[f_3303_5]) ).
fof(f_3303_7,plain,
! [U_8395] :
( ! [U_8394] :
( ! [U_8393] :
( ! [U_8392] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ! [U_8391] :
( ( ( sK975(U_8395,U_8394,U_8393,U_8392,U_8391) != sK977(U_8395,U_8394,U_8393,U_8392,U_8391)
| sK974(U_8395,U_8394,U_8393,U_8392,U_8391) != sK976(U_8395,U_8394,U_8393,U_8392,U_8391) )
& r1_rlvect_1(U_8392,sK977(U_8395,U_8394,U_8393,U_8392,U_8391))
& U_8391 = k4_rlvect_1(U_8394,sK976(U_8395,U_8394,U_8393,U_8392,U_8391),sK977(U_8395,U_8394,U_8393,U_8392,U_8391))
& m1_subset_1(sK977(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
& r1_rlvect_1(U_8392,sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
& r1_rlvect_1(U_8393,sK976(U_8395,U_8394,U_8393,U_8392,U_8391))
& r1_rlvect_1(U_8393,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))
& U_8391 = k4_rlvect_1(U_8394,sK974(U_8395,U_8394,U_8393,U_8392,U_8391),sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
& m1_subset_1(sK976(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
& m1_subset_1(sK975(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
& m1_subset_1(sK974(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394)) )
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394)) )
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394) )
| ~ m1_rmod_2(U_8393,U_8395,U_8394) )
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394) )
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK977]),skolemize(U_8387,sK977(U_8395,U_8394,U_8393,U_8392,U_8391))],[f_3303_6]) ).
fof(f_3303_8,plain,
( ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( sK975(U_8395,U_8394,U_8393,U_8392,U_8391) != sK977(U_8395,U_8394,U_8393,U_8392,U_8391)
| sK974(U_8395,U_8394,U_8393,U_8392,U_8391) != sK976(U_8395,U_8394,U_8393,U_8392,U_8391)
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( r1_rlvect_1(U_8392,sK977(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( U_8391 = k4_rlvect_1(U_8394,sK976(U_8395,U_8394,U_8393,U_8392,U_8391),sK977(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( m1_subset_1(sK977(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( r1_rlvect_1(U_8392,sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( r1_rlvect_1(U_8393,sK976(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( r1_rlvect_1(U_8393,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( U_8391 = k4_rlvect_1(U_8394,sK974(U_8395,U_8394,U_8393,U_8392,U_8391),sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( m1_subset_1(sK976(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( m1_subset_1(sK975(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( m1_subset_1(sK974(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) )
& ! [U_8394,U_8395,U_8391,U_8392,U_8393] :
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| sP1484(U_8394,U_8395,U_8391,U_8392,U_8393)
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394))
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394)
| ~ m1_rmod_2(U_8393,U_8395,U_8394)
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394)
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1484])],[f_3303_7]) ).
cnf(f_3303_9,plain,
( r1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| sP1484(U_8394,U_8395,U_8391,U_8392,U_8393)
| ~ m1_subset_1(U_8391,u1_struct_0(U_8394))
| U_8394 != k1_rmod_3(U_8395,U_8394,U_8393,U_8392)
| ~ m1_rmod_2(U_8392,U_8395,U_8394)
| ~ m1_rmod_2(U_8393,U_8395,U_8394)
| ~ l1_vectsp_2(U_8394,U_8395)
| ~ v5_vectsp_2(U_8394,U_8395)
| ~ v6_rlvect_1(U_8394)
| ~ v5_rlvect_1(U_8394)
| ~ v4_rlvect_1(U_8394)
| ~ v3_rlvect_1(U_8394)
| v3_struct_0(U_8394)
| ~ l3_vectsp_1(U_8395)
| ~ v8_vectsp_1(U_8395)
| ~ v7_vectsp_1(U_8395)
| ~ v6_vectsp_1(U_8395)
| ~ v4_group_1(U_8395)
| ~ v6_rlvect_1(U_8395)
| ~ v5_rlvect_1(U_8395)
| ~ v4_rlvect_1(U_8395)
| ~ v3_rlvect_1(U_8395)
| v3_struct_0(U_8395) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_10,plain,
( m1_subset_1(sK974(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_11,plain,
( m1_subset_1(sK975(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_12,plain,
( m1_subset_1(sK976(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_13,plain,
( U_8391 = k4_rlvect_1(U_8394,sK974(U_8395,U_8394,U_8393,U_8392,U_8391),sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_14,plain,
( r1_rlvect_1(U_8393,sK974(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_15,plain,
( r1_rlvect_1(U_8393,sK976(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_16,plain,
( r1_rlvect_1(U_8392,sK975(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_17,plain,
( m1_subset_1(sK977(U_8395,U_8394,U_8393,U_8392,U_8391),u1_struct_0(U_8394))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_18,plain,
( U_8391 = k4_rlvect_1(U_8394,sK976(U_8395,U_8394,U_8393,U_8392,U_8391),sK977(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_19,plain,
( r1_rlvect_1(U_8392,sK977(U_8395,U_8394,U_8393,U_8392,U_8391))
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
cnf(f_3303_20,plain,
( sK975(U_8395,U_8394,U_8393,U_8392,U_8391) != sK977(U_8395,U_8394,U_8393,U_8392,U_8391)
| sK974(U_8395,U_8394,U_8393,U_8392,U_8391) != sK976(U_8395,U_8394,U_8393,U_8392,U_8391)
| ~ sP1484(U_8394,U_8395,U_8391,U_8392,U_8393) ),
inference(clausify,[status(thm)],[f_3303_8]) ).
fof(f_3304_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( ( ( F = k4_rmod_3(A,B,C,D,E)
| ~ r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F))
| ~ r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F))
| C != k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) )
& ( ( r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F))
& r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F))
& C = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) )
| F != k4_rmod_3(A,B,C,D,E) ) )
| ~ m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) )
| ~ r1_rmod_3(A,B,D,E)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_rmod_3]) ).
fof(f_3304_2,plain,
! [U_8401] :
( ! [U_8400] :
( ! [U_8399] :
( ! [U_8398] :
( ! [U_8397] :
( ! [U_8396] :
( ( ( U_8396 = k4_rmod_3(U_8401,U_8400,U_8399,U_8398,U_8397)
| ~ r1_rlvect_1(U_8397,k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ r1_rlvect_1(U_8398,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| U_8399 != k4_rlvect_1(U_8400,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396),k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396)) )
& ( ( r1_rlvect_1(U_8397,k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
& r1_rlvect_1(U_8398,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
& U_8399 = k4_rlvect_1(U_8400,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396),k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396)) )
| U_8396 != k4_rmod_3(U_8401,U_8400,U_8399,U_8398,U_8397) ) )
| ~ m1_subset_1(U_8396,k2_zfmisc_1(u1_struct_0(U_8400),u1_struct_0(U_8400))) )
| ~ r1_rmod_3(U_8401,U_8400,U_8398,U_8397)
| ~ m1_rmod_2(U_8397,U_8401,U_8400) )
| ~ m1_rmod_2(U_8398,U_8401,U_8400) )
| ~ m1_subset_1(U_8399,u1_struct_0(U_8400)) )
| ~ l1_vectsp_2(U_8400,U_8401)
| ~ v5_vectsp_2(U_8400,U_8401)
| ~ v6_rlvect_1(U_8400)
| ~ v5_rlvect_1(U_8400)
| ~ v4_rlvect_1(U_8400)
| ~ v3_rlvect_1(U_8400)
| v3_struct_0(U_8400) )
| ~ l3_vectsp_1(U_8401)
| ~ v8_vectsp_1(U_8401)
| ~ v7_vectsp_1(U_8401)
| ~ v6_vectsp_1(U_8401)
| ~ v4_group_1(U_8401)
| ~ v6_rlvect_1(U_8401)
| ~ v5_rlvect_1(U_8401)
| ~ v4_rlvect_1(U_8401)
| ~ v3_rlvect_1(U_8401)
| v3_struct_0(U_8401) ),
inference(variable_rename,[status(thm)],[f_3304_1]) ).
fof(f_3304_3,plain,
( ! [U_8397,U_8399,U_8400,U_8398,U_8396] :
( r1_rlvect_1(U_8397,k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1485(U_8397,U_8399,U_8400,U_8398,U_8396) )
& ! [U_8397,U_8399,U_8400,U_8398,U_8396] :
( r1_rlvect_1(U_8398,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1485(U_8397,U_8399,U_8400,U_8398,U_8396) )
& ! [U_8397,U_8399,U_8400,U_8398,U_8396] :
( U_8399 = k4_rlvect_1(U_8400,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396),k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1485(U_8397,U_8399,U_8400,U_8398,U_8396) )
& ! [U_8401,U_8397,U_8399,U_8400,U_8398,U_8396] :
( U_8396 = k4_rmod_3(U_8401,U_8400,U_8399,U_8398,U_8397)
| ~ r1_rlvect_1(U_8397,k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ r1_rlvect_1(U_8398,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| U_8399 != k4_rlvect_1(U_8400,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396),k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1486(U_8401,U_8397,U_8399,U_8400,U_8398,U_8396) )
& ! [U_8401,U_8397,U_8399,U_8400,U_8398,U_8396] :
( sP1485(U_8397,U_8399,U_8400,U_8398,U_8396)
| U_8396 != k4_rmod_3(U_8401,U_8400,U_8399,U_8398,U_8397)
| ~ sP1486(U_8401,U_8397,U_8399,U_8400,U_8398,U_8396) )
& ! [U_8401,U_8397,U_8399,U_8400,U_8398,U_8396] :
( sP1486(U_8401,U_8397,U_8399,U_8400,U_8398,U_8396)
| ~ m1_subset_1(U_8396,k2_zfmisc_1(u1_struct_0(U_8400),u1_struct_0(U_8400)))
| ~ r1_rmod_3(U_8401,U_8400,U_8398,U_8397)
| ~ m1_rmod_2(U_8397,U_8401,U_8400)
| ~ m1_rmod_2(U_8398,U_8401,U_8400)
| ~ m1_subset_1(U_8399,u1_struct_0(U_8400))
| ~ l1_vectsp_2(U_8400,U_8401)
| ~ v5_vectsp_2(U_8400,U_8401)
| ~ v6_rlvect_1(U_8400)
| ~ v5_rlvect_1(U_8400)
| ~ v4_rlvect_1(U_8400)
| ~ v3_rlvect_1(U_8400)
| v3_struct_0(U_8400)
| ~ l3_vectsp_1(U_8401)
| ~ v8_vectsp_1(U_8401)
| ~ v7_vectsp_1(U_8401)
| ~ v6_vectsp_1(U_8401)
| ~ v4_group_1(U_8401)
| ~ v6_rlvect_1(U_8401)
| ~ v5_rlvect_1(U_8401)
| ~ v4_rlvect_1(U_8401)
| ~ v3_rlvect_1(U_8401)
| v3_struct_0(U_8401) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1485,sP1486])],[f_3304_2]) ).
cnf(f_3304_4,plain,
( sP1486(U_8401,U_8397,U_8399,U_8400,U_8398,U_8396)
| ~ m1_subset_1(U_8396,k2_zfmisc_1(u1_struct_0(U_8400),u1_struct_0(U_8400)))
| ~ r1_rmod_3(U_8401,U_8400,U_8398,U_8397)
| ~ m1_rmod_2(U_8397,U_8401,U_8400)
| ~ m1_rmod_2(U_8398,U_8401,U_8400)
| ~ m1_subset_1(U_8399,u1_struct_0(U_8400))
| ~ l1_vectsp_2(U_8400,U_8401)
| ~ v5_vectsp_2(U_8400,U_8401)
| ~ v6_rlvect_1(U_8400)
| ~ v5_rlvect_1(U_8400)
| ~ v4_rlvect_1(U_8400)
| ~ v3_rlvect_1(U_8400)
| v3_struct_0(U_8400)
| ~ l3_vectsp_1(U_8401)
| ~ v8_vectsp_1(U_8401)
| ~ v7_vectsp_1(U_8401)
| ~ v6_vectsp_1(U_8401)
| ~ v4_group_1(U_8401)
| ~ v6_rlvect_1(U_8401)
| ~ v5_rlvect_1(U_8401)
| ~ v4_rlvect_1(U_8401)
| ~ v3_rlvect_1(U_8401)
| v3_struct_0(U_8401) ),
inference(clausify,[status(thm)],[f_3304_3]) ).
cnf(f_3304_5,plain,
( sP1485(U_8397,U_8399,U_8400,U_8398,U_8396)
| U_8396 != k4_rmod_3(U_8401,U_8400,U_8399,U_8398,U_8397)
| ~ sP1486(U_8401,U_8397,U_8399,U_8400,U_8398,U_8396) ),
inference(clausify,[status(thm)],[f_3304_3]) ).
cnf(f_3304_6,plain,
( U_8396 = k4_rmod_3(U_8401,U_8400,U_8399,U_8398,U_8397)
| ~ r1_rlvect_1(U_8397,k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ r1_rlvect_1(U_8398,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| U_8399 != k4_rlvect_1(U_8400,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396),k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1486(U_8401,U_8397,U_8399,U_8400,U_8398,U_8396) ),
inference(clausify,[status(thm)],[f_3304_3]) ).
cnf(f_3304_7,plain,
( U_8399 = k4_rlvect_1(U_8400,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396),k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1485(U_8397,U_8399,U_8400,U_8398,U_8396) ),
inference(clausify,[status(thm)],[f_3304_3]) ).
cnf(f_3304_8,plain,
( r1_rlvect_1(U_8398,k2_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1485(U_8397,U_8399,U_8400,U_8398,U_8396) ),
inference(clausify,[status(thm)],[f_3304_3]) ).
cnf(f_3304_9,plain,
( r1_rlvect_1(U_8397,k3_domain_1(u1_struct_0(U_8400),u1_struct_0(U_8400),U_8396))
| ~ sP1485(U_8397,U_8399,U_8400,U_8398,U_8396) ),
inference(clausify,[status(thm)],[f_3304_3]) ).
fof(f_3305_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t53_rmod_3]) ).
fof(f_3305_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3305_1]) ).
cnf(f_3305_3,plain,
$true,
inference(clausify,[status(thm)],[f_3305_2]) ).
fof(f_3306_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t54_rmod_3]) ).
fof(f_3306_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3306_1]) ).
cnf(f_3306_3,plain,
$true,
inference(clausify,[status(thm)],[f_3306_2]) ).
fof(f_3307_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t55_rmod_3]) ).
fof(f_3307_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3307_1]) ).
cnf(f_3307_3,plain,
$true,
inference(clausify,[status(thm)],[f_3307_2]) ).
fof(f_3308_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_rmod_3]) ).
fof(f_3308_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3308_1]) ).
cnf(f_3308_3,plain,
$true,
inference(clausify,[status(thm)],[f_3308_2]) ).
fof(f_3309_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C))
| ~ r1_rmod_3(A,B,C,D)
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t57_rmod_3]) ).
fof(f_3309_2,plain,
! [U_8406] :
( ! [U_8405] :
( ! [U_8404] :
( ! [U_8403] :
( ! [U_8402] :
( k2_domain_1(u1_struct_0(U_8405),u1_struct_0(U_8405),k4_rmod_3(U_8406,U_8405,U_8402,U_8404,U_8403)) = k3_domain_1(u1_struct_0(U_8405),u1_struct_0(U_8405),k4_rmod_3(U_8406,U_8405,U_8402,U_8403,U_8404))
| ~ r1_rmod_3(U_8406,U_8405,U_8404,U_8403)
| ~ m1_subset_1(U_8402,u1_struct_0(U_8405)) )
| ~ m1_rmod_2(U_8403,U_8406,U_8405) )
| ~ m1_rmod_2(U_8404,U_8406,U_8405) )
| ~ l1_vectsp_2(U_8405,U_8406)
| ~ v5_vectsp_2(U_8405,U_8406)
| ~ v6_rlvect_1(U_8405)
| ~ v5_rlvect_1(U_8405)
| ~ v4_rlvect_1(U_8405)
| ~ v3_rlvect_1(U_8405)
| v3_struct_0(U_8405) )
| ~ l3_vectsp_1(U_8406)
| ~ v8_vectsp_1(U_8406)
| ~ v7_vectsp_1(U_8406)
| ~ v6_vectsp_1(U_8406)
| ~ v4_group_1(U_8406)
| ~ v6_rlvect_1(U_8406)
| ~ v5_rlvect_1(U_8406)
| ~ v4_rlvect_1(U_8406)
| ~ v3_rlvect_1(U_8406)
| v3_struct_0(U_8406) ),
inference(variable_rename,[status(thm)],[f_3309_1]) ).
fof(f_3309_3,plain,
! [U_8402,U_8403,U_8406,U_8405,U_8404] :
( k2_domain_1(u1_struct_0(U_8405),u1_struct_0(U_8405),k4_rmod_3(U_8406,U_8405,U_8402,U_8404,U_8403)) = k3_domain_1(u1_struct_0(U_8405),u1_struct_0(U_8405),k4_rmod_3(U_8406,U_8405,U_8402,U_8403,U_8404))
| ~ r1_rmod_3(U_8406,U_8405,U_8404,U_8403)
| ~ m1_subset_1(U_8402,u1_struct_0(U_8405))
| ~ m1_rmod_2(U_8403,U_8406,U_8405)
| ~ m1_rmod_2(U_8404,U_8406,U_8405)
| ~ l1_vectsp_2(U_8405,U_8406)
| ~ v5_vectsp_2(U_8405,U_8406)
| ~ v6_rlvect_1(U_8405)
| ~ v5_rlvect_1(U_8405)
| ~ v4_rlvect_1(U_8405)
| ~ v3_rlvect_1(U_8405)
| v3_struct_0(U_8405)
| ~ l3_vectsp_1(U_8406)
| ~ v8_vectsp_1(U_8406)
| ~ v7_vectsp_1(U_8406)
| ~ v6_vectsp_1(U_8406)
| ~ v4_group_1(U_8406)
| ~ v6_rlvect_1(U_8406)
| ~ v5_rlvect_1(U_8406)
| ~ v4_rlvect_1(U_8406)
| ~ v3_rlvect_1(U_8406)
| v3_struct_0(U_8406) ),
inference(definitional_conversion,[status(esa)],[f_3309_2]) ).
cnf(f_3309_4,plain,
( k2_domain_1(u1_struct_0(U_8405),u1_struct_0(U_8405),k4_rmod_3(U_8406,U_8405,U_8402,U_8404,U_8403)) = k3_domain_1(u1_struct_0(U_8405),u1_struct_0(U_8405),k4_rmod_3(U_8406,U_8405,U_8402,U_8403,U_8404))
| ~ r1_rmod_3(U_8406,U_8405,U_8404,U_8403)
| ~ m1_subset_1(U_8402,u1_struct_0(U_8405))
| ~ m1_rmod_2(U_8403,U_8406,U_8405)
| ~ m1_rmod_2(U_8404,U_8406,U_8405)
| ~ l1_vectsp_2(U_8405,U_8406)
| ~ v5_vectsp_2(U_8405,U_8406)
| ~ v6_rlvect_1(U_8405)
| ~ v5_rlvect_1(U_8405)
| ~ v4_rlvect_1(U_8405)
| ~ v3_rlvect_1(U_8405)
| v3_struct_0(U_8405)
| ~ l3_vectsp_1(U_8406)
| ~ v8_vectsp_1(U_8406)
| ~ v7_vectsp_1(U_8406)
| ~ v6_vectsp_1(U_8406)
| ~ v4_group_1(U_8406)
| ~ v6_rlvect_1(U_8406)
| ~ v5_rlvect_1(U_8406)
| ~ v4_rlvect_1(U_8406)
| ~ v3_rlvect_1(U_8406)
| v3_struct_0(U_8406) ),
inference(clausify,[status(thm)],[f_3309_3]) ).
fof(f_3310_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C))
| ~ r1_rmod_3(A,B,C,D)
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t58_rmod_3]) ).
fof(f_3310_2,plain,
! [U_8411] :
( ! [U_8410] :
( ! [U_8409] :
( ! [U_8408] :
( ! [U_8407] :
( k3_domain_1(u1_struct_0(U_8410),u1_struct_0(U_8410),k4_rmod_3(U_8411,U_8410,U_8407,U_8409,U_8408)) = k2_domain_1(u1_struct_0(U_8410),u1_struct_0(U_8410),k4_rmod_3(U_8411,U_8410,U_8407,U_8408,U_8409))
| ~ r1_rmod_3(U_8411,U_8410,U_8409,U_8408)
| ~ m1_subset_1(U_8407,u1_struct_0(U_8410)) )
| ~ m1_rmod_2(U_8408,U_8411,U_8410) )
| ~ m1_rmod_2(U_8409,U_8411,U_8410) )
| ~ l1_vectsp_2(U_8410,U_8411)
| ~ v5_vectsp_2(U_8410,U_8411)
| ~ v6_rlvect_1(U_8410)
| ~ v5_rlvect_1(U_8410)
| ~ v4_rlvect_1(U_8410)
| ~ v3_rlvect_1(U_8410)
| v3_struct_0(U_8410) )
| ~ l3_vectsp_1(U_8411)
| ~ v8_vectsp_1(U_8411)
| ~ v7_vectsp_1(U_8411)
| ~ v6_vectsp_1(U_8411)
| ~ v4_group_1(U_8411)
| ~ v6_rlvect_1(U_8411)
| ~ v5_rlvect_1(U_8411)
| ~ v4_rlvect_1(U_8411)
| ~ v3_rlvect_1(U_8411)
| v3_struct_0(U_8411) ),
inference(variable_rename,[status(thm)],[f_3310_1]) ).
fof(f_3310_3,plain,
! [U_8410,U_8409,U_8411,U_8408,U_8407] :
( k3_domain_1(u1_struct_0(U_8410),u1_struct_0(U_8410),k4_rmod_3(U_8411,U_8410,U_8407,U_8409,U_8408)) = k2_domain_1(u1_struct_0(U_8410),u1_struct_0(U_8410),k4_rmod_3(U_8411,U_8410,U_8407,U_8408,U_8409))
| ~ r1_rmod_3(U_8411,U_8410,U_8409,U_8408)
| ~ m1_subset_1(U_8407,u1_struct_0(U_8410))
| ~ m1_rmod_2(U_8408,U_8411,U_8410)
| ~ m1_rmod_2(U_8409,U_8411,U_8410)
| ~ l1_vectsp_2(U_8410,U_8411)
| ~ v5_vectsp_2(U_8410,U_8411)
| ~ v6_rlvect_1(U_8410)
| ~ v5_rlvect_1(U_8410)
| ~ v4_rlvect_1(U_8410)
| ~ v3_rlvect_1(U_8410)
| v3_struct_0(U_8410)
| ~ l3_vectsp_1(U_8411)
| ~ v8_vectsp_1(U_8411)
| ~ v7_vectsp_1(U_8411)
| ~ v6_vectsp_1(U_8411)
| ~ v4_group_1(U_8411)
| ~ v6_rlvect_1(U_8411)
| ~ v5_rlvect_1(U_8411)
| ~ v4_rlvect_1(U_8411)
| ~ v3_rlvect_1(U_8411)
| v3_struct_0(U_8411) ),
inference(definitional_conversion,[status(esa)],[f_3310_2]) ).
cnf(f_3310_4,plain,
( k3_domain_1(u1_struct_0(U_8410),u1_struct_0(U_8410),k4_rmod_3(U_8411,U_8410,U_8407,U_8409,U_8408)) = k2_domain_1(u1_struct_0(U_8410),u1_struct_0(U_8410),k4_rmod_3(U_8411,U_8410,U_8407,U_8408,U_8409))
| ~ r1_rmod_3(U_8411,U_8410,U_8409,U_8408)
| ~ m1_subset_1(U_8407,u1_struct_0(U_8410))
| ~ m1_rmod_2(U_8408,U_8411,U_8410)
| ~ m1_rmod_2(U_8409,U_8411,U_8410)
| ~ l1_vectsp_2(U_8410,U_8411)
| ~ v5_vectsp_2(U_8410,U_8411)
| ~ v6_rlvect_1(U_8410)
| ~ v5_rlvect_1(U_8410)
| ~ v4_rlvect_1(U_8410)
| ~ v3_rlvect_1(U_8410)
| v3_struct_0(U_8410)
| ~ l3_vectsp_1(U_8411)
| ~ v8_vectsp_1(U_8411)
| ~ v7_vectsp_1(U_8411)
| ~ v6_vectsp_1(U_8411)
| ~ v4_group_1(U_8411)
| ~ v6_rlvect_1(U_8411)
| ~ v5_rlvect_1(U_8411)
| ~ v4_rlvect_1(U_8411)
| ~ v3_rlvect_1(U_8411)
| v3_struct_0(U_8411) ),
inference(clausify,[status(thm)],[f_3310_3]) ).
fof(f_3311_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k5_rmod_3(A,B)
| ? [D] :
( ? [E] :
( ? [F] :
( ? [G] :
( k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) != k1_rmod_3(A,B,F,G)
& E = G
& D = F
& m1_rmod_2(G,A,B) )
& m1_rmod_2(F,A,B) )
& m1_subset_1(E,k3_rmod_3(A,B)) )
& m1_subset_1(D,k3_rmod_3(A,B)) ) )
& ( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k1_rmod_3(A,B,F,G)
| E != G
| D != F
| ~ m1_rmod_2(G,A,B) )
| ~ m1_rmod_2(F,A,B) )
| ~ m1_subset_1(E,k3_rmod_3(A,B)) )
| ~ m1_subset_1(D,k3_rmod_3(A,B)) )
| C != k5_rmod_3(A,B) ) )
| ~ m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
| ~ v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
| ~ v1_funct_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_rmod_3]) ).
fof(f_3311_2,plain,
! [U_8422] :
( ! [U_8421] :
( ! [U_8420] :
( ( ( U_8420 = k5_rmod_3(U_8422,U_8421)
| ? [U_8419] :
( ? [U_8418] :
( ? [U_8417] :
( ? [U_8416] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8419,U_8418) != k1_rmod_3(U_8422,U_8421,U_8417,U_8416)
& U_8418 = U_8416
& U_8419 = U_8417
& m1_rmod_2(U_8416,U_8422,U_8421) )
& m1_rmod_2(U_8417,U_8422,U_8421) )
& m1_subset_1(U_8418,k3_rmod_3(U_8422,U_8421)) )
& m1_subset_1(U_8419,k3_rmod_3(U_8422,U_8421)) ) )
& ( ! [U_8415] :
( ! [U_8414] :
( ! [U_8413] :
( ! [U_8412] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421) )
| ~ m1_rmod_2(U_8413,U_8422,U_8421) )
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421)) )
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421)) )
| U_8420 != k5_rmod_3(U_8422,U_8421) ) )
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420) )
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421) )
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ),
inference(variable_rename,[status(thm)],[f_3311_1]) ).
fof(f_3311_3,plain,
! [U_8422] :
( ! [U_8421] :
( ! [U_8420] :
( ( ( U_8420 = k5_rmod_3(U_8422,U_8421)
| ( ? [U_8418] :
( ? [U_8417] :
( ? [U_8416] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,sK978(U_8422,U_8421,U_8420),U_8418) != k1_rmod_3(U_8422,U_8421,U_8417,U_8416)
& U_8418 = U_8416
& sK978(U_8422,U_8421,U_8420) = U_8417
& m1_rmod_2(U_8416,U_8422,U_8421) )
& m1_rmod_2(U_8417,U_8422,U_8421) )
& m1_subset_1(U_8418,k3_rmod_3(U_8422,U_8421)) )
& m1_subset_1(sK978(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421)) ) )
& ( ! [U_8415] :
( ! [U_8414] :
( ! [U_8413] :
( ! [U_8412] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421) )
| ~ m1_rmod_2(U_8413,U_8422,U_8421) )
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421)) )
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421)) )
| U_8420 != k5_rmod_3(U_8422,U_8421) ) )
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420) )
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421) )
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK978]),skolemize(U_8419,sK978(U_8422,U_8421,U_8420))],[f_3311_2]) ).
fof(f_3311_4,plain,
! [U_8422] :
( ! [U_8421] :
( ! [U_8420] :
( ( ( U_8420 = k5_rmod_3(U_8422,U_8421)
| ( ? [U_8417] :
( ? [U_8416] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,sK978(U_8422,U_8421,U_8420),sK979(U_8422,U_8421,U_8420)) != k1_rmod_3(U_8422,U_8421,U_8417,U_8416)
& sK979(U_8422,U_8421,U_8420) = U_8416
& sK978(U_8422,U_8421,U_8420) = U_8417
& m1_rmod_2(U_8416,U_8422,U_8421) )
& m1_rmod_2(U_8417,U_8422,U_8421) )
& m1_subset_1(sK979(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
& m1_subset_1(sK978(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421)) ) )
& ( ! [U_8415] :
( ! [U_8414] :
( ! [U_8413] :
( ! [U_8412] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421) )
| ~ m1_rmod_2(U_8413,U_8422,U_8421) )
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421)) )
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421)) )
| U_8420 != k5_rmod_3(U_8422,U_8421) ) )
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420) )
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421) )
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK979]),skolemize(U_8418,sK979(U_8422,U_8421,U_8420))],[f_3311_3]) ).
fof(f_3311_5,plain,
! [U_8422] :
( ! [U_8421] :
( ! [U_8420] :
( ( ( U_8420 = k5_rmod_3(U_8422,U_8421)
| ( ? [U_8416] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,sK978(U_8422,U_8421,U_8420),sK979(U_8422,U_8421,U_8420)) != k1_rmod_3(U_8422,U_8421,sK980(U_8422,U_8421,U_8420),U_8416)
& sK979(U_8422,U_8421,U_8420) = U_8416
& sK978(U_8422,U_8421,U_8420) = sK980(U_8422,U_8421,U_8420)
& m1_rmod_2(U_8416,U_8422,U_8421) )
& m1_rmod_2(sK980(U_8422,U_8421,U_8420),U_8422,U_8421)
& m1_subset_1(sK979(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
& m1_subset_1(sK978(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421)) ) )
& ( ! [U_8415] :
( ! [U_8414] :
( ! [U_8413] :
( ! [U_8412] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421) )
| ~ m1_rmod_2(U_8413,U_8422,U_8421) )
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421)) )
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421)) )
| U_8420 != k5_rmod_3(U_8422,U_8421) ) )
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420) )
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421) )
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK980]),skolemize(U_8417,sK980(U_8422,U_8421,U_8420))],[f_3311_4]) ).
fof(f_3311_6,plain,
! [U_8422] :
( ! [U_8421] :
( ! [U_8420] :
( ( ( U_8420 = k5_rmod_3(U_8422,U_8421)
| ( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,sK978(U_8422,U_8421,U_8420),sK979(U_8422,U_8421,U_8420)) != k1_rmod_3(U_8422,U_8421,sK980(U_8422,U_8421,U_8420),sK981(U_8422,U_8421,U_8420))
& sK979(U_8422,U_8421,U_8420) = sK981(U_8422,U_8421,U_8420)
& sK978(U_8422,U_8421,U_8420) = sK980(U_8422,U_8421,U_8420)
& m1_rmod_2(sK981(U_8422,U_8421,U_8420),U_8422,U_8421)
& m1_rmod_2(sK980(U_8422,U_8421,U_8420),U_8422,U_8421)
& m1_subset_1(sK979(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
& m1_subset_1(sK978(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421)) ) )
& ( ! [U_8415] :
( ! [U_8414] :
( ! [U_8413] :
( ! [U_8412] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421) )
| ~ m1_rmod_2(U_8413,U_8422,U_8421) )
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421)) )
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421)) )
| U_8420 != k5_rmod_3(U_8422,U_8421) ) )
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420) )
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421) )
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK981]),skolemize(U_8416,sK981(U_8422,U_8421,U_8420))],[f_3311_5]) ).
fof(f_3311_7,plain,
( ! [U_8422,U_8420,U_8421] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,sK978(U_8422,U_8421,U_8420),sK979(U_8422,U_8421,U_8420)) != k1_rmod_3(U_8422,U_8421,sK980(U_8422,U_8421,U_8420),sK981(U_8422,U_8421,U_8420))
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8420,U_8421] :
( sK979(U_8422,U_8421,U_8420) = sK981(U_8422,U_8421,U_8420)
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8420,U_8421] :
( sK978(U_8422,U_8421,U_8420) = sK980(U_8422,U_8421,U_8420)
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8420,U_8421] :
( m1_rmod_2(sK981(U_8422,U_8421,U_8420),U_8422,U_8421)
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8420,U_8421] :
( m1_rmod_2(sK980(U_8422,U_8421,U_8420),U_8422,U_8421)
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8420,U_8421] :
( m1_subset_1(sK979(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8420,U_8421] :
( m1_subset_1(sK978(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
| ~ sP1487(U_8422,U_8420,U_8421) )
& ! [U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414] :
( U_8420 = k5_rmod_3(U_8422,U_8421)
| sP1487(U_8422,U_8420,U_8421)
| ~ sP1488(U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414) )
& ! [U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414] :
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421)
| ~ m1_rmod_2(U_8413,U_8422,U_8421)
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421))
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421))
| U_8420 != k5_rmod_3(U_8422,U_8421)
| ~ sP1488(U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414) )
& ! [U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414] :
( sP1488(U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414)
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420)
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421)
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1487,sP1488])],[f_3311_6]) ).
cnf(f_3311_8,plain,
( sP1488(U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414)
| ~ m2_relset_1(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_2(U_8420,k2_zfmisc_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421)),k3_rmod_3(U_8422,U_8421))
| ~ v1_funct_1(U_8420)
| ~ l1_vectsp_2(U_8421,U_8422)
| ~ v5_vectsp_2(U_8421,U_8422)
| ~ v6_rlvect_1(U_8421)
| ~ v5_rlvect_1(U_8421)
| ~ v4_rlvect_1(U_8421)
| ~ v3_rlvect_1(U_8421)
| v3_struct_0(U_8421)
| ~ l3_vectsp_1(U_8422)
| ~ v8_vectsp_1(U_8422)
| ~ v7_vectsp_1(U_8422)
| ~ v6_vectsp_1(U_8422)
| ~ v4_group_1(U_8422)
| ~ v6_rlvect_1(U_8422)
| ~ v5_rlvect_1(U_8422)
| ~ v4_rlvect_1(U_8422)
| ~ v3_rlvect_1(U_8422)
| v3_struct_0(U_8422) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_9,plain,
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,U_8415,U_8414) = k1_rmod_3(U_8422,U_8421,U_8413,U_8412)
| U_8414 != U_8412
| U_8415 != U_8413
| ~ m1_rmod_2(U_8412,U_8422,U_8421)
| ~ m1_rmod_2(U_8413,U_8422,U_8421)
| ~ m1_subset_1(U_8414,k3_rmod_3(U_8422,U_8421))
| ~ m1_subset_1(U_8415,k3_rmod_3(U_8422,U_8421))
| U_8420 != k5_rmod_3(U_8422,U_8421)
| ~ sP1488(U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_10,plain,
( U_8420 = k5_rmod_3(U_8422,U_8421)
| sP1487(U_8422,U_8420,U_8421)
| ~ sP1488(U_8422,U_8412,U_8420,U_8415,U_8421,U_8413,U_8414) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_11,plain,
( m1_subset_1(sK978(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_12,plain,
( m1_subset_1(sK979(U_8422,U_8421,U_8420),k3_rmod_3(U_8422,U_8421))
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_13,plain,
( m1_rmod_2(sK980(U_8422,U_8421,U_8420),U_8422,U_8421)
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_14,plain,
( m1_rmod_2(sK981(U_8422,U_8421,U_8420),U_8422,U_8421)
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_15,plain,
( sK978(U_8422,U_8421,U_8420) = sK980(U_8422,U_8421,U_8420)
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_16,plain,
( sK979(U_8422,U_8421,U_8420) = sK981(U_8422,U_8421,U_8420)
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
cnf(f_3311_17,plain,
( k2_binop_1(k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),k3_rmod_3(U_8422,U_8421),U_8420,sK978(U_8422,U_8421,U_8420),sK979(U_8422,U_8421,U_8420)) != k1_rmod_3(U_8422,U_8421,sK980(U_8422,U_8421,U_8420),sK981(U_8422,U_8421,U_8420))
| ~ sP1487(U_8422,U_8420,U_8421) ),
inference(clausify,[status(thm)],[f_3311_7]) ).
fof(f_3312_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k6_rmod_3(A,B)
| ? [D] :
( ? [E] :
( ? [F] :
( ? [G] :
( k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) != k2_rmod_3(A,B,F,G)
& E = G
& D = F
& m1_rmod_2(G,A,B) )
& m1_rmod_2(F,A,B) )
& m1_subset_1(E,k3_rmod_3(A,B)) )
& m1_subset_1(D,k3_rmod_3(A,B)) ) )
& ( ! [D] :
( ! [E] :
( ! [F] :
( ! [G] :
( k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k2_rmod_3(A,B,F,G)
| E != G
| D != F
| ~ m1_rmod_2(G,A,B) )
| ~ m1_rmod_2(F,A,B) )
| ~ m1_subset_1(E,k3_rmod_3(A,B)) )
| ~ m1_subset_1(D,k3_rmod_3(A,B)) )
| C != k6_rmod_3(A,B) ) )
| ~ m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
| ~ v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
| ~ v1_funct_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d7_rmod_3]) ).
fof(f_3312_2,plain,
! [U_8433] :
( ! [U_8432] :
( ! [U_8431] :
( ( ( U_8431 = k6_rmod_3(U_8433,U_8432)
| ? [U_8430] :
( ? [U_8429] :
( ? [U_8428] :
( ? [U_8427] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8430,U_8429) != k2_rmod_3(U_8433,U_8432,U_8428,U_8427)
& U_8429 = U_8427
& U_8430 = U_8428
& m1_rmod_2(U_8427,U_8433,U_8432) )
& m1_rmod_2(U_8428,U_8433,U_8432) )
& m1_subset_1(U_8429,k3_rmod_3(U_8433,U_8432)) )
& m1_subset_1(U_8430,k3_rmod_3(U_8433,U_8432)) ) )
& ( ! [U_8426] :
( ! [U_8425] :
( ! [U_8424] :
( ! [U_8423] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432) )
| ~ m1_rmod_2(U_8424,U_8433,U_8432) )
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432)) )
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432)) )
| U_8431 != k6_rmod_3(U_8433,U_8432) ) )
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431) )
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432) )
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ),
inference(variable_rename,[status(thm)],[f_3312_1]) ).
fof(f_3312_3,plain,
! [U_8433] :
( ! [U_8432] :
( ! [U_8431] :
( ( ( U_8431 = k6_rmod_3(U_8433,U_8432)
| ( ? [U_8429] :
( ? [U_8428] :
( ? [U_8427] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,sK982(U_8433,U_8432,U_8431),U_8429) != k2_rmod_3(U_8433,U_8432,U_8428,U_8427)
& U_8429 = U_8427
& sK982(U_8433,U_8432,U_8431) = U_8428
& m1_rmod_2(U_8427,U_8433,U_8432) )
& m1_rmod_2(U_8428,U_8433,U_8432) )
& m1_subset_1(U_8429,k3_rmod_3(U_8433,U_8432)) )
& m1_subset_1(sK982(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432)) ) )
& ( ! [U_8426] :
( ! [U_8425] :
( ! [U_8424] :
( ! [U_8423] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432) )
| ~ m1_rmod_2(U_8424,U_8433,U_8432) )
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432)) )
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432)) )
| U_8431 != k6_rmod_3(U_8433,U_8432) ) )
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431) )
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432) )
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK982]),skolemize(U_8430,sK982(U_8433,U_8432,U_8431))],[f_3312_2]) ).
fof(f_3312_4,plain,
! [U_8433] :
( ! [U_8432] :
( ! [U_8431] :
( ( ( U_8431 = k6_rmod_3(U_8433,U_8432)
| ( ? [U_8428] :
( ? [U_8427] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,sK982(U_8433,U_8432,U_8431),sK983(U_8433,U_8432,U_8431)) != k2_rmod_3(U_8433,U_8432,U_8428,U_8427)
& sK983(U_8433,U_8432,U_8431) = U_8427
& sK982(U_8433,U_8432,U_8431) = U_8428
& m1_rmod_2(U_8427,U_8433,U_8432) )
& m1_rmod_2(U_8428,U_8433,U_8432) )
& m1_subset_1(sK983(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
& m1_subset_1(sK982(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432)) ) )
& ( ! [U_8426] :
( ! [U_8425] :
( ! [U_8424] :
( ! [U_8423] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432) )
| ~ m1_rmod_2(U_8424,U_8433,U_8432) )
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432)) )
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432)) )
| U_8431 != k6_rmod_3(U_8433,U_8432) ) )
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431) )
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432) )
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK983]),skolemize(U_8429,sK983(U_8433,U_8432,U_8431))],[f_3312_3]) ).
fof(f_3312_5,plain,
! [U_8433] :
( ! [U_8432] :
( ! [U_8431] :
( ( ( U_8431 = k6_rmod_3(U_8433,U_8432)
| ( ? [U_8427] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,sK982(U_8433,U_8432,U_8431),sK983(U_8433,U_8432,U_8431)) != k2_rmod_3(U_8433,U_8432,sK984(U_8433,U_8432,U_8431),U_8427)
& sK983(U_8433,U_8432,U_8431) = U_8427
& sK982(U_8433,U_8432,U_8431) = sK984(U_8433,U_8432,U_8431)
& m1_rmod_2(U_8427,U_8433,U_8432) )
& m1_rmod_2(sK984(U_8433,U_8432,U_8431),U_8433,U_8432)
& m1_subset_1(sK983(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
& m1_subset_1(sK982(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432)) ) )
& ( ! [U_8426] :
( ! [U_8425] :
( ! [U_8424] :
( ! [U_8423] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432) )
| ~ m1_rmod_2(U_8424,U_8433,U_8432) )
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432)) )
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432)) )
| U_8431 != k6_rmod_3(U_8433,U_8432) ) )
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431) )
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432) )
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK984]),skolemize(U_8428,sK984(U_8433,U_8432,U_8431))],[f_3312_4]) ).
fof(f_3312_6,plain,
! [U_8433] :
( ! [U_8432] :
( ! [U_8431] :
( ( ( U_8431 = k6_rmod_3(U_8433,U_8432)
| ( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,sK982(U_8433,U_8432,U_8431),sK983(U_8433,U_8432,U_8431)) != k2_rmod_3(U_8433,U_8432,sK984(U_8433,U_8432,U_8431),sK985(U_8433,U_8432,U_8431))
& sK983(U_8433,U_8432,U_8431) = sK985(U_8433,U_8432,U_8431)
& sK982(U_8433,U_8432,U_8431) = sK984(U_8433,U_8432,U_8431)
& m1_rmod_2(sK985(U_8433,U_8432,U_8431),U_8433,U_8432)
& m1_rmod_2(sK984(U_8433,U_8432,U_8431),U_8433,U_8432)
& m1_subset_1(sK983(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
& m1_subset_1(sK982(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432)) ) )
& ( ! [U_8426] :
( ! [U_8425] :
( ! [U_8424] :
( ! [U_8423] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432) )
| ~ m1_rmod_2(U_8424,U_8433,U_8432) )
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432)) )
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432)) )
| U_8431 != k6_rmod_3(U_8433,U_8432) ) )
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431) )
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432) )
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK985]),skolemize(U_8427,sK985(U_8433,U_8432,U_8431))],[f_3312_5]) ).
fof(f_3312_7,plain,
( ! [U_8432,U_8431,U_8433] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,sK982(U_8433,U_8432,U_8431),sK983(U_8433,U_8432,U_8431)) != k2_rmod_3(U_8433,U_8432,sK984(U_8433,U_8432,U_8431),sK985(U_8433,U_8432,U_8431))
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8431,U_8433] :
( sK983(U_8433,U_8432,U_8431) = sK985(U_8433,U_8432,U_8431)
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8431,U_8433] :
( sK982(U_8433,U_8432,U_8431) = sK984(U_8433,U_8432,U_8431)
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8431,U_8433] :
( m1_rmod_2(sK985(U_8433,U_8432,U_8431),U_8433,U_8432)
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8431,U_8433] :
( m1_rmod_2(sK984(U_8433,U_8432,U_8431),U_8433,U_8432)
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8431,U_8433] :
( m1_subset_1(sK983(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8431,U_8433] :
( m1_subset_1(sK982(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
| ~ sP1489(U_8432,U_8431,U_8433) )
& ! [U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426] :
( U_8431 = k6_rmod_3(U_8433,U_8432)
| sP1489(U_8432,U_8431,U_8433)
| ~ sP1490(U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426) )
& ! [U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426] :
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432)
| ~ m1_rmod_2(U_8424,U_8433,U_8432)
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432))
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432))
| U_8431 != k6_rmod_3(U_8433,U_8432)
| ~ sP1490(U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426) )
& ! [U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426] :
( sP1490(U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426)
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431)
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432)
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1489,sP1490])],[f_3312_6]) ).
cnf(f_3312_8,plain,
( sP1490(U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426)
| ~ m2_relset_1(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_2(U_8431,k2_zfmisc_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432)),k3_rmod_3(U_8433,U_8432))
| ~ v1_funct_1(U_8431)
| ~ l1_vectsp_2(U_8432,U_8433)
| ~ v5_vectsp_2(U_8432,U_8433)
| ~ v6_rlvect_1(U_8432)
| ~ v5_rlvect_1(U_8432)
| ~ v4_rlvect_1(U_8432)
| ~ v3_rlvect_1(U_8432)
| v3_struct_0(U_8432)
| ~ l3_vectsp_1(U_8433)
| ~ v8_vectsp_1(U_8433)
| ~ v7_vectsp_1(U_8433)
| ~ v6_vectsp_1(U_8433)
| ~ v4_group_1(U_8433)
| ~ v6_rlvect_1(U_8433)
| ~ v5_rlvect_1(U_8433)
| ~ v4_rlvect_1(U_8433)
| ~ v3_rlvect_1(U_8433)
| v3_struct_0(U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_9,plain,
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,U_8426,U_8425) = k2_rmod_3(U_8433,U_8432,U_8424,U_8423)
| U_8425 != U_8423
| U_8426 != U_8424
| ~ m1_rmod_2(U_8423,U_8433,U_8432)
| ~ m1_rmod_2(U_8424,U_8433,U_8432)
| ~ m1_subset_1(U_8425,k3_rmod_3(U_8433,U_8432))
| ~ m1_subset_1(U_8426,k3_rmod_3(U_8433,U_8432))
| U_8431 != k6_rmod_3(U_8433,U_8432)
| ~ sP1490(U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_10,plain,
( U_8431 = k6_rmod_3(U_8433,U_8432)
| sP1489(U_8432,U_8431,U_8433)
| ~ sP1490(U_8432,U_8425,U_8431,U_8423,U_8433,U_8424,U_8426) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_11,plain,
( m1_subset_1(sK982(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_12,plain,
( m1_subset_1(sK983(U_8433,U_8432,U_8431),k3_rmod_3(U_8433,U_8432))
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_13,plain,
( m1_rmod_2(sK984(U_8433,U_8432,U_8431),U_8433,U_8432)
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_14,plain,
( m1_rmod_2(sK985(U_8433,U_8432,U_8431),U_8433,U_8432)
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_15,plain,
( sK982(U_8433,U_8432,U_8431) = sK984(U_8433,U_8432,U_8431)
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_16,plain,
( sK983(U_8433,U_8432,U_8431) = sK985(U_8433,U_8432,U_8431)
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
cnf(f_3312_17,plain,
( k2_binop_1(k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),k3_rmod_3(U_8433,U_8432),U_8431,sK982(U_8433,U_8432,U_8431),sK983(U_8433,U_8432,U_8431)) != k2_rmod_3(U_8433,U_8432,sK984(U_8433,U_8432,U_8431),sK985(U_8433,U_8432,U_8431))
| ~ sP1489(U_8432,U_8431,U_8433) ),
inference(clausify,[status(thm)],[f_3312_7]) ).
fof(f_3313_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t59_rmod_3]) ).
fof(f_3313_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3313_1]) ).
cnf(f_3313_3,plain,
$true,
inference(clausify,[status(thm)],[f_3313_2]) ).
fof(f_3314_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t60_rmod_3]) ).
fof(f_3314_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3314_1]) ).
cnf(f_3314_3,plain,
$true,
inference(clausify,[status(thm)],[f_3314_2]) ).
fof(f_3315_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t61_rmod_3]) ).
fof(f_3315_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3315_1]) ).
cnf(f_3315_3,plain,
$true,
inference(clausify,[status(thm)],[f_3315_2]) ).
fof(f_3316_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t62_rmod_3]) ).
fof(f_3316_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3316_1]) ).
cnf(f_3316_3,plain,
$true,
inference(clausify,[status(thm)],[f_3316_2]) ).
fof(f_3317_1,plain,
! [A] :
( ! [B] :
( ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t63_rmod_3]) ).
fof(f_3317_2,plain,
! [U_8435] :
( ! [U_8434] :
( ( l3_lattices(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
& v10_lattices(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434))) )
| ~ l1_vectsp_2(U_8434,U_8435)
| ~ v5_vectsp_2(U_8434,U_8435)
| ~ v6_rlvect_1(U_8434)
| ~ v5_rlvect_1(U_8434)
| ~ v4_rlvect_1(U_8434)
| ~ v3_rlvect_1(U_8434)
| v3_struct_0(U_8434) )
| ~ l3_vectsp_1(U_8435)
| ~ v8_vectsp_1(U_8435)
| ~ v7_vectsp_1(U_8435)
| ~ v6_vectsp_1(U_8435)
| ~ v4_group_1(U_8435)
| ~ v6_rlvect_1(U_8435)
| ~ v5_rlvect_1(U_8435)
| ~ v4_rlvect_1(U_8435)
| ~ v3_rlvect_1(U_8435)
| v3_struct_0(U_8435) ),
inference(variable_rename,[status(thm)],[f_3317_1]) ).
fof(f_3317_3,plain,
( ! [U_8434,U_8435] :
( l3_lattices(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
| ~ sP1491(U_8434,U_8435) )
& ! [U_8434,U_8435] :
( v10_lattices(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
| ~ sP1491(U_8434,U_8435) )
& ! [U_8434,U_8435] :
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
| ~ sP1491(U_8434,U_8435) )
& ! [U_8434,U_8435] :
( sP1491(U_8434,U_8435)
| ~ l1_vectsp_2(U_8434,U_8435)
| ~ v5_vectsp_2(U_8434,U_8435)
| ~ v6_rlvect_1(U_8434)
| ~ v5_rlvect_1(U_8434)
| ~ v4_rlvect_1(U_8434)
| ~ v3_rlvect_1(U_8434)
| v3_struct_0(U_8434)
| ~ l3_vectsp_1(U_8435)
| ~ v8_vectsp_1(U_8435)
| ~ v7_vectsp_1(U_8435)
| ~ v6_vectsp_1(U_8435)
| ~ v4_group_1(U_8435)
| ~ v6_rlvect_1(U_8435)
| ~ v5_rlvect_1(U_8435)
| ~ v4_rlvect_1(U_8435)
| ~ v3_rlvect_1(U_8435)
| v3_struct_0(U_8435) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1491])],[f_3317_2]) ).
cnf(f_3317_4,plain,
( sP1491(U_8434,U_8435)
| ~ l1_vectsp_2(U_8434,U_8435)
| ~ v5_vectsp_2(U_8434,U_8435)
| ~ v6_rlvect_1(U_8434)
| ~ v5_rlvect_1(U_8434)
| ~ v4_rlvect_1(U_8434)
| ~ v3_rlvect_1(U_8434)
| v3_struct_0(U_8434)
| ~ l3_vectsp_1(U_8435)
| ~ v8_vectsp_1(U_8435)
| ~ v7_vectsp_1(U_8435)
| ~ v6_vectsp_1(U_8435)
| ~ v4_group_1(U_8435)
| ~ v6_rlvect_1(U_8435)
| ~ v5_rlvect_1(U_8435)
| ~ v4_rlvect_1(U_8435)
| ~ v3_rlvect_1(U_8435)
| v3_struct_0(U_8435) ),
inference(clausify,[status(thm)],[f_3317_3]) ).
cnf(f_3317_5,plain,
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
| ~ sP1491(U_8434,U_8435) ),
inference(clausify,[status(thm)],[f_3317_3]) ).
cnf(f_3317_6,plain,
( v10_lattices(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
| ~ sP1491(U_8434,U_8435) ),
inference(clausify,[status(thm)],[f_3317_3]) ).
cnf(f_3317_7,plain,
( l3_lattices(g3_lattices(k3_rmod_3(U_8435,U_8434),k5_rmod_3(U_8435,U_8434),k6_rmod_3(U_8435,U_8434)))
| ~ sP1491(U_8434,U_8435) ),
inference(clausify,[status(thm)],[f_3317_3]) ).
fof(f_3318_1,plain,
! [A] :
( ! [B] :
( ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v13_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t64_rmod_3]) ).
fof(f_3318_2,plain,
! [U_8437] :
( ! [U_8436] :
( ( l3_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
& v13_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
& v10_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436))) )
| ~ l1_vectsp_2(U_8436,U_8437)
| ~ v5_vectsp_2(U_8436,U_8437)
| ~ v6_rlvect_1(U_8436)
| ~ v5_rlvect_1(U_8436)
| ~ v4_rlvect_1(U_8436)
| ~ v3_rlvect_1(U_8436)
| v3_struct_0(U_8436) )
| ~ l3_vectsp_1(U_8437)
| ~ v8_vectsp_1(U_8437)
| ~ v7_vectsp_1(U_8437)
| ~ v6_vectsp_1(U_8437)
| ~ v4_group_1(U_8437)
| ~ v6_rlvect_1(U_8437)
| ~ v5_rlvect_1(U_8437)
| ~ v4_rlvect_1(U_8437)
| ~ v3_rlvect_1(U_8437)
| v3_struct_0(U_8437) ),
inference(variable_rename,[status(thm)],[f_3318_1]) ).
fof(f_3318_3,plain,
( ! [U_8437,U_8436] :
( l3_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) )
& ! [U_8437,U_8436] :
( v13_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) )
& ! [U_8437,U_8436] :
( v10_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) )
& ! [U_8437,U_8436] :
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) )
& ! [U_8437,U_8436] :
( sP1492(U_8437,U_8436)
| ~ l1_vectsp_2(U_8436,U_8437)
| ~ v5_vectsp_2(U_8436,U_8437)
| ~ v6_rlvect_1(U_8436)
| ~ v5_rlvect_1(U_8436)
| ~ v4_rlvect_1(U_8436)
| ~ v3_rlvect_1(U_8436)
| v3_struct_0(U_8436)
| ~ l3_vectsp_1(U_8437)
| ~ v8_vectsp_1(U_8437)
| ~ v7_vectsp_1(U_8437)
| ~ v6_vectsp_1(U_8437)
| ~ v4_group_1(U_8437)
| ~ v6_rlvect_1(U_8437)
| ~ v5_rlvect_1(U_8437)
| ~ v4_rlvect_1(U_8437)
| ~ v3_rlvect_1(U_8437)
| v3_struct_0(U_8437) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1492])],[f_3318_2]) ).
cnf(f_3318_4,plain,
( sP1492(U_8437,U_8436)
| ~ l1_vectsp_2(U_8436,U_8437)
| ~ v5_vectsp_2(U_8436,U_8437)
| ~ v6_rlvect_1(U_8436)
| ~ v5_rlvect_1(U_8436)
| ~ v4_rlvect_1(U_8436)
| ~ v3_rlvect_1(U_8436)
| v3_struct_0(U_8436)
| ~ l3_vectsp_1(U_8437)
| ~ v8_vectsp_1(U_8437)
| ~ v7_vectsp_1(U_8437)
| ~ v6_vectsp_1(U_8437)
| ~ v4_group_1(U_8437)
| ~ v6_rlvect_1(U_8437)
| ~ v5_rlvect_1(U_8437)
| ~ v4_rlvect_1(U_8437)
| ~ v3_rlvect_1(U_8437)
| v3_struct_0(U_8437) ),
inference(clausify,[status(thm)],[f_3318_3]) ).
cnf(f_3318_5,plain,
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) ),
inference(clausify,[status(thm)],[f_3318_3]) ).
cnf(f_3318_6,plain,
( v10_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) ),
inference(clausify,[status(thm)],[f_3318_3]) ).
cnf(f_3318_7,plain,
( v13_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) ),
inference(clausify,[status(thm)],[f_3318_3]) ).
cnf(f_3318_8,plain,
( l3_lattices(g3_lattices(k3_rmod_3(U_8437,U_8436),k5_rmod_3(U_8437,U_8436),k6_rmod_3(U_8437,U_8436)))
| ~ sP1492(U_8437,U_8436) ),
inference(clausify,[status(thm)],[f_3318_3]) ).
fof(f_3319_1,plain,
! [A] :
( ! [B] :
( ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v14_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t65_rmod_3]) ).
fof(f_3319_2,plain,
! [U_8439] :
( ! [U_8438] :
( ( l3_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
& v14_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
& v10_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438))) )
| ~ l1_vectsp_2(U_8438,U_8439)
| ~ v5_vectsp_2(U_8438,U_8439)
| ~ v6_rlvect_1(U_8438)
| ~ v5_rlvect_1(U_8438)
| ~ v4_rlvect_1(U_8438)
| ~ v3_rlvect_1(U_8438)
| v3_struct_0(U_8438) )
| ~ l3_vectsp_1(U_8439)
| ~ v8_vectsp_1(U_8439)
| ~ v7_vectsp_1(U_8439)
| ~ v6_vectsp_1(U_8439)
| ~ v4_group_1(U_8439)
| ~ v6_rlvect_1(U_8439)
| ~ v5_rlvect_1(U_8439)
| ~ v4_rlvect_1(U_8439)
| ~ v3_rlvect_1(U_8439)
| v3_struct_0(U_8439) ),
inference(variable_rename,[status(thm)],[f_3319_1]) ).
fof(f_3319_3,plain,
( ! [U_8438,U_8439] :
( l3_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) )
& ! [U_8438,U_8439] :
( v14_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) )
& ! [U_8438,U_8439] :
( v10_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) )
& ! [U_8438,U_8439] :
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) )
& ! [U_8438,U_8439] :
( sP1493(U_8438,U_8439)
| ~ l1_vectsp_2(U_8438,U_8439)
| ~ v5_vectsp_2(U_8438,U_8439)
| ~ v6_rlvect_1(U_8438)
| ~ v5_rlvect_1(U_8438)
| ~ v4_rlvect_1(U_8438)
| ~ v3_rlvect_1(U_8438)
| v3_struct_0(U_8438)
| ~ l3_vectsp_1(U_8439)
| ~ v8_vectsp_1(U_8439)
| ~ v7_vectsp_1(U_8439)
| ~ v6_vectsp_1(U_8439)
| ~ v4_group_1(U_8439)
| ~ v6_rlvect_1(U_8439)
| ~ v5_rlvect_1(U_8439)
| ~ v4_rlvect_1(U_8439)
| ~ v3_rlvect_1(U_8439)
| v3_struct_0(U_8439) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1493])],[f_3319_2]) ).
cnf(f_3319_4,plain,
( sP1493(U_8438,U_8439)
| ~ l1_vectsp_2(U_8438,U_8439)
| ~ v5_vectsp_2(U_8438,U_8439)
| ~ v6_rlvect_1(U_8438)
| ~ v5_rlvect_1(U_8438)
| ~ v4_rlvect_1(U_8438)
| ~ v3_rlvect_1(U_8438)
| v3_struct_0(U_8438)
| ~ l3_vectsp_1(U_8439)
| ~ v8_vectsp_1(U_8439)
| ~ v7_vectsp_1(U_8439)
| ~ v6_vectsp_1(U_8439)
| ~ v4_group_1(U_8439)
| ~ v6_rlvect_1(U_8439)
| ~ v5_rlvect_1(U_8439)
| ~ v4_rlvect_1(U_8439)
| ~ v3_rlvect_1(U_8439)
| v3_struct_0(U_8439) ),
inference(clausify,[status(thm)],[f_3319_3]) ).
cnf(f_3319_5,plain,
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) ),
inference(clausify,[status(thm)],[f_3319_3]) ).
cnf(f_3319_6,plain,
( v10_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) ),
inference(clausify,[status(thm)],[f_3319_3]) ).
cnf(f_3319_7,plain,
( v14_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) ),
inference(clausify,[status(thm)],[f_3319_3]) ).
cnf(f_3319_8,plain,
( l3_lattices(g3_lattices(k3_rmod_3(U_8439,U_8438),k5_rmod_3(U_8439,U_8438),k6_rmod_3(U_8439,U_8438)))
| ~ sP1493(U_8438,U_8439) ),
inference(clausify,[status(thm)],[f_3319_3]) ).
fof(f_3320_1,plain,
! [A] :
( ! [B] :
( ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v15_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t66_rmod_3]) ).
fof(f_3320_2,plain,
! [U_8441] :
( ! [U_8440] :
( ( l3_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
& v15_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
& v10_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440))) )
| ~ l1_vectsp_2(U_8440,U_8441)
| ~ v5_vectsp_2(U_8440,U_8441)
| ~ v6_rlvect_1(U_8440)
| ~ v5_rlvect_1(U_8440)
| ~ v4_rlvect_1(U_8440)
| ~ v3_rlvect_1(U_8440)
| v3_struct_0(U_8440) )
| ~ l3_vectsp_1(U_8441)
| ~ v8_vectsp_1(U_8441)
| ~ v7_vectsp_1(U_8441)
| ~ v6_vectsp_1(U_8441)
| ~ v4_group_1(U_8441)
| ~ v6_rlvect_1(U_8441)
| ~ v5_rlvect_1(U_8441)
| ~ v4_rlvect_1(U_8441)
| ~ v3_rlvect_1(U_8441)
| v3_struct_0(U_8441) ),
inference(variable_rename,[status(thm)],[f_3320_1]) ).
fof(f_3320_3,plain,
( ! [U_8440,U_8441] :
( l3_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) )
& ! [U_8440,U_8441] :
( v15_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) )
& ! [U_8440,U_8441] :
( v10_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) )
& ! [U_8440,U_8441] :
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) )
& ! [U_8440,U_8441] :
( sP1494(U_8440,U_8441)
| ~ l1_vectsp_2(U_8440,U_8441)
| ~ v5_vectsp_2(U_8440,U_8441)
| ~ v6_rlvect_1(U_8440)
| ~ v5_rlvect_1(U_8440)
| ~ v4_rlvect_1(U_8440)
| ~ v3_rlvect_1(U_8440)
| v3_struct_0(U_8440)
| ~ l3_vectsp_1(U_8441)
| ~ v8_vectsp_1(U_8441)
| ~ v7_vectsp_1(U_8441)
| ~ v6_vectsp_1(U_8441)
| ~ v4_group_1(U_8441)
| ~ v6_rlvect_1(U_8441)
| ~ v5_rlvect_1(U_8441)
| ~ v4_rlvect_1(U_8441)
| ~ v3_rlvect_1(U_8441)
| v3_struct_0(U_8441) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1494])],[f_3320_2]) ).
cnf(f_3320_4,plain,
( sP1494(U_8440,U_8441)
| ~ l1_vectsp_2(U_8440,U_8441)
| ~ v5_vectsp_2(U_8440,U_8441)
| ~ v6_rlvect_1(U_8440)
| ~ v5_rlvect_1(U_8440)
| ~ v4_rlvect_1(U_8440)
| ~ v3_rlvect_1(U_8440)
| v3_struct_0(U_8440)
| ~ l3_vectsp_1(U_8441)
| ~ v8_vectsp_1(U_8441)
| ~ v7_vectsp_1(U_8441)
| ~ v6_vectsp_1(U_8441)
| ~ v4_group_1(U_8441)
| ~ v6_rlvect_1(U_8441)
| ~ v5_rlvect_1(U_8441)
| ~ v4_rlvect_1(U_8441)
| ~ v3_rlvect_1(U_8441)
| v3_struct_0(U_8441) ),
inference(clausify,[status(thm)],[f_3320_3]) ).
cnf(f_3320_5,plain,
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) ),
inference(clausify,[status(thm)],[f_3320_3]) ).
cnf(f_3320_6,plain,
( v10_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) ),
inference(clausify,[status(thm)],[f_3320_3]) ).
cnf(f_3320_7,plain,
( v15_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) ),
inference(clausify,[status(thm)],[f_3320_3]) ).
cnf(f_3320_8,plain,
( l3_lattices(g3_lattices(k3_rmod_3(U_8441,U_8440),k5_rmod_3(U_8441,U_8440),k6_rmod_3(U_8441,U_8440)))
| ~ sP1494(U_8440,U_8441) ),
inference(clausify,[status(thm)],[f_3320_3]) ).
fof(f_3321_1,plain,
! [A] :
( ! [B] :
( ( l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v12_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_rmod_3]) ).
fof(f_3321_2,plain,
! [U_8443] :
( ! [U_8442] :
( ( l3_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
& v12_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
& v10_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
& ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442))) )
| ~ l1_vectsp_2(U_8442,U_8443)
| ~ v5_vectsp_2(U_8442,U_8443)
| ~ v6_rlvect_1(U_8442)
| ~ v5_rlvect_1(U_8442)
| ~ v4_rlvect_1(U_8442)
| ~ v3_rlvect_1(U_8442)
| v3_struct_0(U_8442) )
| ~ l3_vectsp_1(U_8443)
| ~ v8_vectsp_1(U_8443)
| ~ v7_vectsp_1(U_8443)
| ~ v6_vectsp_1(U_8443)
| ~ v4_group_1(U_8443)
| ~ v6_rlvect_1(U_8443)
| ~ v5_rlvect_1(U_8443)
| ~ v4_rlvect_1(U_8443)
| ~ v3_rlvect_1(U_8443)
| v3_struct_0(U_8443) ),
inference(variable_rename,[status(thm)],[f_3321_1]) ).
fof(f_3321_3,plain,
( ! [U_8442,U_8443] :
( l3_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) )
& ! [U_8442,U_8443] :
( v12_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) )
& ! [U_8442,U_8443] :
( v10_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) )
& ! [U_8442,U_8443] :
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) )
& ! [U_8442,U_8443] :
( sP1495(U_8442,U_8443)
| ~ l1_vectsp_2(U_8442,U_8443)
| ~ v5_vectsp_2(U_8442,U_8443)
| ~ v6_rlvect_1(U_8442)
| ~ v5_rlvect_1(U_8442)
| ~ v4_rlvect_1(U_8442)
| ~ v3_rlvect_1(U_8442)
| v3_struct_0(U_8442)
| ~ l3_vectsp_1(U_8443)
| ~ v8_vectsp_1(U_8443)
| ~ v7_vectsp_1(U_8443)
| ~ v6_vectsp_1(U_8443)
| ~ v4_group_1(U_8443)
| ~ v6_rlvect_1(U_8443)
| ~ v5_rlvect_1(U_8443)
| ~ v4_rlvect_1(U_8443)
| ~ v3_rlvect_1(U_8443)
| v3_struct_0(U_8443) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1495])],[f_3321_2]) ).
cnf(f_3321_4,plain,
( sP1495(U_8442,U_8443)
| ~ l1_vectsp_2(U_8442,U_8443)
| ~ v5_vectsp_2(U_8442,U_8443)
| ~ v6_rlvect_1(U_8442)
| ~ v5_rlvect_1(U_8442)
| ~ v4_rlvect_1(U_8442)
| ~ v3_rlvect_1(U_8442)
| v3_struct_0(U_8442)
| ~ l3_vectsp_1(U_8443)
| ~ v8_vectsp_1(U_8443)
| ~ v7_vectsp_1(U_8443)
| ~ v6_vectsp_1(U_8443)
| ~ v4_group_1(U_8443)
| ~ v6_rlvect_1(U_8443)
| ~ v5_rlvect_1(U_8443)
| ~ v4_rlvect_1(U_8443)
| ~ v3_rlvect_1(U_8443)
| v3_struct_0(U_8443) ),
inference(clausify,[status(thm)],[f_3321_3]) ).
cnf(f_3321_5,plain,
( ~ v3_struct_0(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) ),
inference(clausify,[status(thm)],[f_3321_3]) ).
cnf(f_3321_6,plain,
( v10_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) ),
inference(clausify,[status(thm)],[f_3321_3]) ).
cnf(f_3321_7,plain,
( v12_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) ),
inference(clausify,[status(thm)],[f_3321_3]) ).
cnf(f_3321_8,plain,
( l3_lattices(g3_lattices(k3_rmod_3(U_8443,U_8442),k5_rmod_3(U_8443,U_8442),k6_rmod_3(U_8443,U_8442)))
| ~ sP1495(U_8442,U_8443) ),
inference(clausify,[status(thm)],[f_3321_3]) ).
fof(f_3322_1,plain,
! [A,B,C,D] :
( ( m1_rmod_2(k1_rmod_3(A,B,C,D),A,B)
& v3_vectsp_2(k1_rmod_3(A,B,C,D),A) )
| ~ m1_rmod_2(D,A,B)
| ~ m1_rmod_2(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rmod_3]) ).
fof(f_3322_2,plain,
! [U_8447,U_8446,U_8445,U_8444] :
( ( m1_rmod_2(k1_rmod_3(U_8447,U_8446,U_8445,U_8444),U_8447,U_8446)
& v3_vectsp_2(k1_rmod_3(U_8447,U_8446,U_8445,U_8444),U_8447) )
| ~ m1_rmod_2(U_8444,U_8447,U_8446)
| ~ m1_rmod_2(U_8445,U_8447,U_8446)
| ~ l1_vectsp_2(U_8446,U_8447)
| ~ v5_vectsp_2(U_8446,U_8447)
| ~ v6_rlvect_1(U_8446)
| ~ v5_rlvect_1(U_8446)
| ~ v4_rlvect_1(U_8446)
| ~ v3_rlvect_1(U_8446)
| v3_struct_0(U_8446)
| ~ l3_vectsp_1(U_8447)
| ~ v8_vectsp_1(U_8447)
| ~ v7_vectsp_1(U_8447)
| ~ v6_vectsp_1(U_8447)
| ~ v4_group_1(U_8447)
| ~ v6_rlvect_1(U_8447)
| ~ v5_rlvect_1(U_8447)
| ~ v4_rlvect_1(U_8447)
| ~ v3_rlvect_1(U_8447)
| v3_struct_0(U_8447) ),
inference(variable_rename,[status(thm)],[f_3322_1]) ).
fof(f_3322_3,plain,
( ! [U_8445,U_8446,U_8444,U_8447] :
( m1_rmod_2(k1_rmod_3(U_8447,U_8446,U_8445,U_8444),U_8447,U_8446)
| ~ sP1496(U_8445,U_8446,U_8444,U_8447) )
& ! [U_8445,U_8446,U_8444,U_8447] :
( v3_vectsp_2(k1_rmod_3(U_8447,U_8446,U_8445,U_8444),U_8447)
| ~ sP1496(U_8445,U_8446,U_8444,U_8447) )
& ! [U_8445,U_8446,U_8444,U_8447] :
( sP1496(U_8445,U_8446,U_8444,U_8447)
| ~ m1_rmod_2(U_8444,U_8447,U_8446)
| ~ m1_rmod_2(U_8445,U_8447,U_8446)
| ~ l1_vectsp_2(U_8446,U_8447)
| ~ v5_vectsp_2(U_8446,U_8447)
| ~ v6_rlvect_1(U_8446)
| ~ v5_rlvect_1(U_8446)
| ~ v4_rlvect_1(U_8446)
| ~ v3_rlvect_1(U_8446)
| v3_struct_0(U_8446)
| ~ l3_vectsp_1(U_8447)
| ~ v8_vectsp_1(U_8447)
| ~ v7_vectsp_1(U_8447)
| ~ v6_vectsp_1(U_8447)
| ~ v4_group_1(U_8447)
| ~ v6_rlvect_1(U_8447)
| ~ v5_rlvect_1(U_8447)
| ~ v4_rlvect_1(U_8447)
| ~ v3_rlvect_1(U_8447)
| v3_struct_0(U_8447) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1496])],[f_3322_2]) ).
cnf(f_3322_4,plain,
( sP1496(U_8445,U_8446,U_8444,U_8447)
| ~ m1_rmod_2(U_8444,U_8447,U_8446)
| ~ m1_rmod_2(U_8445,U_8447,U_8446)
| ~ l1_vectsp_2(U_8446,U_8447)
| ~ v5_vectsp_2(U_8446,U_8447)
| ~ v6_rlvect_1(U_8446)
| ~ v5_rlvect_1(U_8446)
| ~ v4_rlvect_1(U_8446)
| ~ v3_rlvect_1(U_8446)
| v3_struct_0(U_8446)
| ~ l3_vectsp_1(U_8447)
| ~ v8_vectsp_1(U_8447)
| ~ v7_vectsp_1(U_8447)
| ~ v6_vectsp_1(U_8447)
| ~ v4_group_1(U_8447)
| ~ v6_rlvect_1(U_8447)
| ~ v5_rlvect_1(U_8447)
| ~ v4_rlvect_1(U_8447)
| ~ v3_rlvect_1(U_8447)
| v3_struct_0(U_8447) ),
inference(clausify,[status(thm)],[f_3322_3]) ).
cnf(f_3322_5,plain,
( v3_vectsp_2(k1_rmod_3(U_8447,U_8446,U_8445,U_8444),U_8447)
| ~ sP1496(U_8445,U_8446,U_8444,U_8447) ),
inference(clausify,[status(thm)],[f_3322_3]) ).
cnf(f_3322_6,plain,
( m1_rmod_2(k1_rmod_3(U_8447,U_8446,U_8445,U_8444),U_8447,U_8446)
| ~ sP1496(U_8445,U_8446,U_8444,U_8447) ),
inference(clausify,[status(thm)],[f_3322_3]) ).
fof(f_3323_1,plain,
! [A,B,C,D] :
( ( m1_rmod_2(k2_rmod_3(A,B,C,D),A,B)
& v3_vectsp_2(k2_rmod_3(A,B,C,D),A) )
| ~ m1_rmod_2(D,A,B)
| ~ m1_rmod_2(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_rmod_3]) ).
fof(f_3323_2,plain,
! [U_8451,U_8450,U_8449,U_8448] :
( ( m1_rmod_2(k2_rmod_3(U_8451,U_8450,U_8449,U_8448),U_8451,U_8450)
& v3_vectsp_2(k2_rmod_3(U_8451,U_8450,U_8449,U_8448),U_8451) )
| ~ m1_rmod_2(U_8448,U_8451,U_8450)
| ~ m1_rmod_2(U_8449,U_8451,U_8450)
| ~ l1_vectsp_2(U_8450,U_8451)
| ~ v5_vectsp_2(U_8450,U_8451)
| ~ v6_rlvect_1(U_8450)
| ~ v5_rlvect_1(U_8450)
| ~ v4_rlvect_1(U_8450)
| ~ v3_rlvect_1(U_8450)
| v3_struct_0(U_8450)
| ~ l3_vectsp_1(U_8451)
| ~ v8_vectsp_1(U_8451)
| ~ v7_vectsp_1(U_8451)
| ~ v6_vectsp_1(U_8451)
| ~ v4_group_1(U_8451)
| ~ v6_rlvect_1(U_8451)
| ~ v5_rlvect_1(U_8451)
| ~ v4_rlvect_1(U_8451)
| ~ v3_rlvect_1(U_8451)
| v3_struct_0(U_8451) ),
inference(variable_rename,[status(thm)],[f_3323_1]) ).
fof(f_3323_3,plain,
( ! [U_8448,U_8451,U_8450,U_8449] :
( m1_rmod_2(k2_rmod_3(U_8451,U_8450,U_8449,U_8448),U_8451,U_8450)
| ~ sP1497(U_8448,U_8451,U_8450,U_8449) )
& ! [U_8448,U_8451,U_8450,U_8449] :
( v3_vectsp_2(k2_rmod_3(U_8451,U_8450,U_8449,U_8448),U_8451)
| ~ sP1497(U_8448,U_8451,U_8450,U_8449) )
& ! [U_8448,U_8451,U_8450,U_8449] :
( sP1497(U_8448,U_8451,U_8450,U_8449)
| ~ m1_rmod_2(U_8448,U_8451,U_8450)
| ~ m1_rmod_2(U_8449,U_8451,U_8450)
| ~ l1_vectsp_2(U_8450,U_8451)
| ~ v5_vectsp_2(U_8450,U_8451)
| ~ v6_rlvect_1(U_8450)
| ~ v5_rlvect_1(U_8450)
| ~ v4_rlvect_1(U_8450)
| ~ v3_rlvect_1(U_8450)
| v3_struct_0(U_8450)
| ~ l3_vectsp_1(U_8451)
| ~ v8_vectsp_1(U_8451)
| ~ v7_vectsp_1(U_8451)
| ~ v6_vectsp_1(U_8451)
| ~ v4_group_1(U_8451)
| ~ v6_rlvect_1(U_8451)
| ~ v5_rlvect_1(U_8451)
| ~ v4_rlvect_1(U_8451)
| ~ v3_rlvect_1(U_8451)
| v3_struct_0(U_8451) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1497])],[f_3323_2]) ).
cnf(f_3323_4,plain,
( sP1497(U_8448,U_8451,U_8450,U_8449)
| ~ m1_rmod_2(U_8448,U_8451,U_8450)
| ~ m1_rmod_2(U_8449,U_8451,U_8450)
| ~ l1_vectsp_2(U_8450,U_8451)
| ~ v5_vectsp_2(U_8450,U_8451)
| ~ v6_rlvect_1(U_8450)
| ~ v5_rlvect_1(U_8450)
| ~ v4_rlvect_1(U_8450)
| ~ v3_rlvect_1(U_8450)
| v3_struct_0(U_8450)
| ~ l3_vectsp_1(U_8451)
| ~ v8_vectsp_1(U_8451)
| ~ v7_vectsp_1(U_8451)
| ~ v6_vectsp_1(U_8451)
| ~ v4_group_1(U_8451)
| ~ v6_rlvect_1(U_8451)
| ~ v5_rlvect_1(U_8451)
| ~ v4_rlvect_1(U_8451)
| ~ v3_rlvect_1(U_8451)
| v3_struct_0(U_8451) ),
inference(clausify,[status(thm)],[f_3323_3]) ).
cnf(f_3323_5,plain,
( v3_vectsp_2(k2_rmod_3(U_8451,U_8450,U_8449,U_8448),U_8451)
| ~ sP1497(U_8448,U_8451,U_8450,U_8449) ),
inference(clausify,[status(thm)],[f_3323_3]) ).
cnf(f_3323_6,plain,
( m1_rmod_2(k2_rmod_3(U_8451,U_8450,U_8449,U_8448),U_8451,U_8450)
| ~ sP1497(U_8448,U_8451,U_8450,U_8449) ),
inference(clausify,[status(thm)],[f_3323_3]) ).
fof(f_3324_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_rmod_3]) ).
fof(f_3324_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3324_1]) ).
cnf(f_3324_3,plain,
$true,
inference(clausify,[status(thm)],[f_3324_2]) ).
fof(f_3325_1,plain,
! [A,B,C,D,E] :
( m1_subset_1(k4_rmod_3(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
| ~ m1_rmod_2(E,A,B)
| ~ m1_rmod_2(D,A,B)
| ~ m1_subset_1(C,u1_struct_0(B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_rmod_3]) ).
fof(f_3325_2,plain,
! [U_8456,U_8455,U_8454,U_8453,U_8452] :
( m1_subset_1(k4_rmod_3(U_8456,U_8455,U_8454,U_8453,U_8452),k2_zfmisc_1(u1_struct_0(U_8455),u1_struct_0(U_8455)))
| ~ m1_rmod_2(U_8452,U_8456,U_8455)
| ~ m1_rmod_2(U_8453,U_8456,U_8455)
| ~ m1_subset_1(U_8454,u1_struct_0(U_8455))
| ~ l1_vectsp_2(U_8455,U_8456)
| ~ v5_vectsp_2(U_8455,U_8456)
| ~ v6_rlvect_1(U_8455)
| ~ v5_rlvect_1(U_8455)
| ~ v4_rlvect_1(U_8455)
| ~ v3_rlvect_1(U_8455)
| v3_struct_0(U_8455)
| ~ l3_vectsp_1(U_8456)
| ~ v8_vectsp_1(U_8456)
| ~ v7_vectsp_1(U_8456)
| ~ v6_vectsp_1(U_8456)
| ~ v4_group_1(U_8456)
| ~ v6_rlvect_1(U_8456)
| ~ v5_rlvect_1(U_8456)
| ~ v4_rlvect_1(U_8456)
| ~ v3_rlvect_1(U_8456)
| v3_struct_0(U_8456) ),
inference(variable_rename,[status(thm)],[f_3325_1]) ).
fof(f_3325_3,plain,
! [U_8453,U_8456,U_8454,U_8455,U_8452] :
( m1_subset_1(k4_rmod_3(U_8456,U_8455,U_8454,U_8453,U_8452),k2_zfmisc_1(u1_struct_0(U_8455),u1_struct_0(U_8455)))
| ~ m1_rmod_2(U_8452,U_8456,U_8455)
| ~ m1_rmod_2(U_8453,U_8456,U_8455)
| ~ m1_subset_1(U_8454,u1_struct_0(U_8455))
| ~ l1_vectsp_2(U_8455,U_8456)
| ~ v5_vectsp_2(U_8455,U_8456)
| ~ v6_rlvect_1(U_8455)
| ~ v5_rlvect_1(U_8455)
| ~ v4_rlvect_1(U_8455)
| ~ v3_rlvect_1(U_8455)
| v3_struct_0(U_8455)
| ~ l3_vectsp_1(U_8456)
| ~ v8_vectsp_1(U_8456)
| ~ v7_vectsp_1(U_8456)
| ~ v6_vectsp_1(U_8456)
| ~ v4_group_1(U_8456)
| ~ v6_rlvect_1(U_8456)
| ~ v5_rlvect_1(U_8456)
| ~ v4_rlvect_1(U_8456)
| ~ v3_rlvect_1(U_8456)
| v3_struct_0(U_8456) ),
inference(definitional_conversion,[status(esa)],[f_3325_2]) ).
cnf(f_3325_4,plain,
( m1_subset_1(k4_rmod_3(U_8456,U_8455,U_8454,U_8453,U_8452),k2_zfmisc_1(u1_struct_0(U_8455),u1_struct_0(U_8455)))
| ~ m1_rmod_2(U_8452,U_8456,U_8455)
| ~ m1_rmod_2(U_8453,U_8456,U_8455)
| ~ m1_subset_1(U_8454,u1_struct_0(U_8455))
| ~ l1_vectsp_2(U_8455,U_8456)
| ~ v5_vectsp_2(U_8455,U_8456)
| ~ v6_rlvect_1(U_8455)
| ~ v5_rlvect_1(U_8455)
| ~ v4_rlvect_1(U_8455)
| ~ v3_rlvect_1(U_8455)
| v3_struct_0(U_8455)
| ~ l3_vectsp_1(U_8456)
| ~ v8_vectsp_1(U_8456)
| ~ v7_vectsp_1(U_8456)
| ~ v6_vectsp_1(U_8456)
| ~ v4_group_1(U_8456)
| ~ v6_rlvect_1(U_8456)
| ~ v5_rlvect_1(U_8456)
| ~ v4_rlvect_1(U_8456)
| ~ v3_rlvect_1(U_8456)
| v3_struct_0(U_8456) ),
inference(clausify,[status(thm)],[f_3325_3]) ).
fof(f_3326_1,plain,
! [A,B] :
( ( m2_relset_1(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_2(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_1(k5_rmod_3(A,B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_rmod_3]) ).
fof(f_3326_2,plain,
! [U_8458,U_8457] :
( ( m2_relset_1(k5_rmod_3(U_8458,U_8457),k2_zfmisc_1(k3_rmod_3(U_8458,U_8457),k3_rmod_3(U_8458,U_8457)),k3_rmod_3(U_8458,U_8457))
& v1_funct_2(k5_rmod_3(U_8458,U_8457),k2_zfmisc_1(k3_rmod_3(U_8458,U_8457),k3_rmod_3(U_8458,U_8457)),k3_rmod_3(U_8458,U_8457))
& v1_funct_1(k5_rmod_3(U_8458,U_8457)) )
| ~ l1_vectsp_2(U_8457,U_8458)
| ~ v5_vectsp_2(U_8457,U_8458)
| ~ v6_rlvect_1(U_8457)
| ~ v5_rlvect_1(U_8457)
| ~ v4_rlvect_1(U_8457)
| ~ v3_rlvect_1(U_8457)
| v3_struct_0(U_8457)
| ~ l3_vectsp_1(U_8458)
| ~ v8_vectsp_1(U_8458)
| ~ v7_vectsp_1(U_8458)
| ~ v6_vectsp_1(U_8458)
| ~ v4_group_1(U_8458)
| ~ v6_rlvect_1(U_8458)
| ~ v5_rlvect_1(U_8458)
| ~ v4_rlvect_1(U_8458)
| ~ v3_rlvect_1(U_8458)
| v3_struct_0(U_8458) ),
inference(variable_rename,[status(thm)],[f_3326_1]) ).
fof(f_3326_3,plain,
( ! [U_8458,U_8457] :
( m2_relset_1(k5_rmod_3(U_8458,U_8457),k2_zfmisc_1(k3_rmod_3(U_8458,U_8457),k3_rmod_3(U_8458,U_8457)),k3_rmod_3(U_8458,U_8457))
| ~ sP1498(U_8458,U_8457) )
& ! [U_8458,U_8457] :
( v1_funct_2(k5_rmod_3(U_8458,U_8457),k2_zfmisc_1(k3_rmod_3(U_8458,U_8457),k3_rmod_3(U_8458,U_8457)),k3_rmod_3(U_8458,U_8457))
| ~ sP1498(U_8458,U_8457) )
& ! [U_8458,U_8457] :
( v1_funct_1(k5_rmod_3(U_8458,U_8457))
| ~ sP1498(U_8458,U_8457) )
& ! [U_8458,U_8457] :
( sP1498(U_8458,U_8457)
| ~ l1_vectsp_2(U_8457,U_8458)
| ~ v5_vectsp_2(U_8457,U_8458)
| ~ v6_rlvect_1(U_8457)
| ~ v5_rlvect_1(U_8457)
| ~ v4_rlvect_1(U_8457)
| ~ v3_rlvect_1(U_8457)
| v3_struct_0(U_8457)
| ~ l3_vectsp_1(U_8458)
| ~ v8_vectsp_1(U_8458)
| ~ v7_vectsp_1(U_8458)
| ~ v6_vectsp_1(U_8458)
| ~ v4_group_1(U_8458)
| ~ v6_rlvect_1(U_8458)
| ~ v5_rlvect_1(U_8458)
| ~ v4_rlvect_1(U_8458)
| ~ v3_rlvect_1(U_8458)
| v3_struct_0(U_8458) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1498])],[f_3326_2]) ).
cnf(f_3326_4,plain,
( sP1498(U_8458,U_8457)
| ~ l1_vectsp_2(U_8457,U_8458)
| ~ v5_vectsp_2(U_8457,U_8458)
| ~ v6_rlvect_1(U_8457)
| ~ v5_rlvect_1(U_8457)
| ~ v4_rlvect_1(U_8457)
| ~ v3_rlvect_1(U_8457)
| v3_struct_0(U_8457)
| ~ l3_vectsp_1(U_8458)
| ~ v8_vectsp_1(U_8458)
| ~ v7_vectsp_1(U_8458)
| ~ v6_vectsp_1(U_8458)
| ~ v4_group_1(U_8458)
| ~ v6_rlvect_1(U_8458)
| ~ v5_rlvect_1(U_8458)
| ~ v4_rlvect_1(U_8458)
| ~ v3_rlvect_1(U_8458)
| v3_struct_0(U_8458) ),
inference(clausify,[status(thm)],[f_3326_3]) ).
cnf(f_3326_5,plain,
( v1_funct_1(k5_rmod_3(U_8458,U_8457))
| ~ sP1498(U_8458,U_8457) ),
inference(clausify,[status(thm)],[f_3326_3]) ).
cnf(f_3326_6,plain,
( v1_funct_2(k5_rmod_3(U_8458,U_8457),k2_zfmisc_1(k3_rmod_3(U_8458,U_8457),k3_rmod_3(U_8458,U_8457)),k3_rmod_3(U_8458,U_8457))
| ~ sP1498(U_8458,U_8457) ),
inference(clausify,[status(thm)],[f_3326_3]) ).
cnf(f_3326_7,plain,
( m2_relset_1(k5_rmod_3(U_8458,U_8457),k2_zfmisc_1(k3_rmod_3(U_8458,U_8457),k3_rmod_3(U_8458,U_8457)),k3_rmod_3(U_8458,U_8457))
| ~ sP1498(U_8458,U_8457) ),
inference(clausify,[status(thm)],[f_3326_3]) ).
fof(f_3327_1,plain,
! [A,B] :
( ( m2_relset_1(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_2(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B))
& v1_funct_1(k6_rmod_3(A,B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_rmod_3]) ).
fof(f_3327_2,plain,
! [U_8460,U_8459] :
( ( m2_relset_1(k6_rmod_3(U_8460,U_8459),k2_zfmisc_1(k3_rmod_3(U_8460,U_8459),k3_rmod_3(U_8460,U_8459)),k3_rmod_3(U_8460,U_8459))
& v1_funct_2(k6_rmod_3(U_8460,U_8459),k2_zfmisc_1(k3_rmod_3(U_8460,U_8459),k3_rmod_3(U_8460,U_8459)),k3_rmod_3(U_8460,U_8459))
& v1_funct_1(k6_rmod_3(U_8460,U_8459)) )
| ~ l1_vectsp_2(U_8459,U_8460)
| ~ v5_vectsp_2(U_8459,U_8460)
| ~ v6_rlvect_1(U_8459)
| ~ v5_rlvect_1(U_8459)
| ~ v4_rlvect_1(U_8459)
| ~ v3_rlvect_1(U_8459)
| v3_struct_0(U_8459)
| ~ l3_vectsp_1(U_8460)
| ~ v8_vectsp_1(U_8460)
| ~ v7_vectsp_1(U_8460)
| ~ v6_vectsp_1(U_8460)
| ~ v4_group_1(U_8460)
| ~ v6_rlvect_1(U_8460)
| ~ v5_rlvect_1(U_8460)
| ~ v4_rlvect_1(U_8460)
| ~ v3_rlvect_1(U_8460)
| v3_struct_0(U_8460) ),
inference(variable_rename,[status(thm)],[f_3327_1]) ).
fof(f_3327_3,plain,
( ! [U_8460,U_8459] :
( m2_relset_1(k6_rmod_3(U_8460,U_8459),k2_zfmisc_1(k3_rmod_3(U_8460,U_8459),k3_rmod_3(U_8460,U_8459)),k3_rmod_3(U_8460,U_8459))
| ~ sP1499(U_8460,U_8459) )
& ! [U_8460,U_8459] :
( v1_funct_2(k6_rmod_3(U_8460,U_8459),k2_zfmisc_1(k3_rmod_3(U_8460,U_8459),k3_rmod_3(U_8460,U_8459)),k3_rmod_3(U_8460,U_8459))
| ~ sP1499(U_8460,U_8459) )
& ! [U_8460,U_8459] :
( v1_funct_1(k6_rmod_3(U_8460,U_8459))
| ~ sP1499(U_8460,U_8459) )
& ! [U_8460,U_8459] :
( sP1499(U_8460,U_8459)
| ~ l1_vectsp_2(U_8459,U_8460)
| ~ v5_vectsp_2(U_8459,U_8460)
| ~ v6_rlvect_1(U_8459)
| ~ v5_rlvect_1(U_8459)
| ~ v4_rlvect_1(U_8459)
| ~ v3_rlvect_1(U_8459)
| v3_struct_0(U_8459)
| ~ l3_vectsp_1(U_8460)
| ~ v8_vectsp_1(U_8460)
| ~ v7_vectsp_1(U_8460)
| ~ v6_vectsp_1(U_8460)
| ~ v4_group_1(U_8460)
| ~ v6_rlvect_1(U_8460)
| ~ v5_rlvect_1(U_8460)
| ~ v4_rlvect_1(U_8460)
| ~ v3_rlvect_1(U_8460)
| v3_struct_0(U_8460) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1499])],[f_3327_2]) ).
cnf(f_3327_4,plain,
( sP1499(U_8460,U_8459)
| ~ l1_vectsp_2(U_8459,U_8460)
| ~ v5_vectsp_2(U_8459,U_8460)
| ~ v6_rlvect_1(U_8459)
| ~ v5_rlvect_1(U_8459)
| ~ v4_rlvect_1(U_8459)
| ~ v3_rlvect_1(U_8459)
| v3_struct_0(U_8459)
| ~ l3_vectsp_1(U_8460)
| ~ v8_vectsp_1(U_8460)
| ~ v7_vectsp_1(U_8460)
| ~ v6_vectsp_1(U_8460)
| ~ v4_group_1(U_8460)
| ~ v6_rlvect_1(U_8460)
| ~ v5_rlvect_1(U_8460)
| ~ v4_rlvect_1(U_8460)
| ~ v3_rlvect_1(U_8460)
| v3_struct_0(U_8460) ),
inference(clausify,[status(thm)],[f_3327_3]) ).
cnf(f_3327_5,plain,
( v1_funct_1(k6_rmod_3(U_8460,U_8459))
| ~ sP1499(U_8460,U_8459) ),
inference(clausify,[status(thm)],[f_3327_3]) ).
cnf(f_3327_6,plain,
( v1_funct_2(k6_rmod_3(U_8460,U_8459),k2_zfmisc_1(k3_rmod_3(U_8460,U_8459),k3_rmod_3(U_8460,U_8459)),k3_rmod_3(U_8460,U_8459))
| ~ sP1499(U_8460,U_8459) ),
inference(clausify,[status(thm)],[f_3327_3]) ).
cnf(f_3327_7,plain,
( m2_relset_1(k6_rmod_3(U_8460,U_8459),k2_zfmisc_1(k3_rmod_3(U_8460,U_8459),k3_rmod_3(U_8460,U_8459)),k3_rmod_3(U_8460,U_8459))
| ~ sP1499(U_8460,U_8459) ),
inference(clausify,[status(thm)],[f_3327_3]) ).
fof(f_3328_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( E = k1_rmod_3(A,B,C,D)
| u1_struct_0(E) != a_4_0_rmod_3(A,B,C,D) )
& ( u1_struct_0(E) = a_4_0_rmod_3(A,B,C,D)
| E != k1_rmod_3(A,B,C,D) ) )
| ~ m1_rmod_2(E,A,B)
| ~ v3_vectsp_2(E,A) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rmod_3]) ).
fof(f_3328_2,plain,
! [U_8465] :
( ! [U_8464] :
( ! [U_8463] :
( ! [U_8462] :
( ! [U_8461] :
( ( ( U_8461 = k1_rmod_3(U_8465,U_8464,U_8463,U_8462)
| u1_struct_0(U_8461) != a_4_0_rmod_3(U_8465,U_8464,U_8463,U_8462) )
& ( u1_struct_0(U_8461) = a_4_0_rmod_3(U_8465,U_8464,U_8463,U_8462)
| U_8461 != k1_rmod_3(U_8465,U_8464,U_8463,U_8462) ) )
| ~ m1_rmod_2(U_8461,U_8465,U_8464)
| ~ v3_vectsp_2(U_8461,U_8465) )
| ~ m1_rmod_2(U_8462,U_8465,U_8464) )
| ~ m1_rmod_2(U_8463,U_8465,U_8464) )
| ~ l1_vectsp_2(U_8464,U_8465)
| ~ v5_vectsp_2(U_8464,U_8465)
| ~ v6_rlvect_1(U_8464)
| ~ v5_rlvect_1(U_8464)
| ~ v4_rlvect_1(U_8464)
| ~ v3_rlvect_1(U_8464)
| v3_struct_0(U_8464) )
| ~ l3_vectsp_1(U_8465)
| ~ v8_vectsp_1(U_8465)
| ~ v7_vectsp_1(U_8465)
| ~ v6_vectsp_1(U_8465)
| ~ v4_group_1(U_8465)
| ~ v6_rlvect_1(U_8465)
| ~ v5_rlvect_1(U_8465)
| ~ v4_rlvect_1(U_8465)
| ~ v3_rlvect_1(U_8465)
| v3_struct_0(U_8465) ),
inference(variable_rename,[status(thm)],[f_3328_1]) ).
fof(f_3328_3,plain,
( ! [U_8464,U_8465,U_8462,U_8463,U_8461] :
( U_8461 = k1_rmod_3(U_8465,U_8464,U_8463,U_8462)
| u1_struct_0(U_8461) != a_4_0_rmod_3(U_8465,U_8464,U_8463,U_8462)
| ~ sP1500(U_8464,U_8465,U_8462,U_8463,U_8461) )
& ! [U_8464,U_8465,U_8462,U_8463,U_8461] :
( u1_struct_0(U_8461) = a_4_0_rmod_3(U_8465,U_8464,U_8463,U_8462)
| U_8461 != k1_rmod_3(U_8465,U_8464,U_8463,U_8462)
| ~ sP1500(U_8464,U_8465,U_8462,U_8463,U_8461) )
& ! [U_8464,U_8465,U_8462,U_8463,U_8461] :
( sP1500(U_8464,U_8465,U_8462,U_8463,U_8461)
| ~ m1_rmod_2(U_8461,U_8465,U_8464)
| ~ v3_vectsp_2(U_8461,U_8465)
| ~ m1_rmod_2(U_8462,U_8465,U_8464)
| ~ m1_rmod_2(U_8463,U_8465,U_8464)
| ~ l1_vectsp_2(U_8464,U_8465)
| ~ v5_vectsp_2(U_8464,U_8465)
| ~ v6_rlvect_1(U_8464)
| ~ v5_rlvect_1(U_8464)
| ~ v4_rlvect_1(U_8464)
| ~ v3_rlvect_1(U_8464)
| v3_struct_0(U_8464)
| ~ l3_vectsp_1(U_8465)
| ~ v8_vectsp_1(U_8465)
| ~ v7_vectsp_1(U_8465)
| ~ v6_vectsp_1(U_8465)
| ~ v4_group_1(U_8465)
| ~ v6_rlvect_1(U_8465)
| ~ v5_rlvect_1(U_8465)
| ~ v4_rlvect_1(U_8465)
| ~ v3_rlvect_1(U_8465)
| v3_struct_0(U_8465) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1500])],[f_3328_2]) ).
cnf(f_3328_4,plain,
( sP1500(U_8464,U_8465,U_8462,U_8463,U_8461)
| ~ m1_rmod_2(U_8461,U_8465,U_8464)
| ~ v3_vectsp_2(U_8461,U_8465)
| ~ m1_rmod_2(U_8462,U_8465,U_8464)
| ~ m1_rmod_2(U_8463,U_8465,U_8464)
| ~ l1_vectsp_2(U_8464,U_8465)
| ~ v5_vectsp_2(U_8464,U_8465)
| ~ v6_rlvect_1(U_8464)
| ~ v5_rlvect_1(U_8464)
| ~ v4_rlvect_1(U_8464)
| ~ v3_rlvect_1(U_8464)
| v3_struct_0(U_8464)
| ~ l3_vectsp_1(U_8465)
| ~ v8_vectsp_1(U_8465)
| ~ v7_vectsp_1(U_8465)
| ~ v6_vectsp_1(U_8465)
| ~ v4_group_1(U_8465)
| ~ v6_rlvect_1(U_8465)
| ~ v5_rlvect_1(U_8465)
| ~ v4_rlvect_1(U_8465)
| ~ v3_rlvect_1(U_8465)
| v3_struct_0(U_8465) ),
inference(clausify,[status(thm)],[f_3328_3]) ).
cnf(f_3328_5,plain,
( u1_struct_0(U_8461) = a_4_0_rmod_3(U_8465,U_8464,U_8463,U_8462)
| U_8461 != k1_rmod_3(U_8465,U_8464,U_8463,U_8462)
| ~ sP1500(U_8464,U_8465,U_8462,U_8463,U_8461) ),
inference(clausify,[status(thm)],[f_3328_3]) ).
cnf(f_3328_6,plain,
( U_8461 = k1_rmod_3(U_8465,U_8464,U_8463,U_8462)
| u1_struct_0(U_8461) != a_4_0_rmod_3(U_8465,U_8464,U_8463,U_8462)
| ~ sP1500(U_8464,U_8465,U_8462,U_8463,U_8461) ),
inference(clausify,[status(thm)],[f_3328_3]) ).
fof(f_3329_1,plain,
! [A,B,C,D,E] :
( ( ( r2_hidden(A,a_4_0_rmod_3(B,C,D,E))
| ! [F,G] :
( ~ r1_rlvect_1(E,G)
| ~ r1_rlvect_1(D,F)
| A != k4_rlvect_1(C,F,G)
| ~ m1_subset_1(G,u1_struct_0(C))
| ~ m1_subset_1(F,u1_struct_0(C)) ) )
& ( ? [F,G] :
( r1_rlvect_1(E,G)
& r1_rlvect_1(D,F)
& A = k4_rlvect_1(C,F,G)
& m1_subset_1(G,u1_struct_0(C))
& m1_subset_1(F,u1_struct_0(C)) )
| ~ r2_hidden(A,a_4_0_rmod_3(B,C,D,E)) ) )
| ~ m1_rmod_2(E,B,C)
| ~ m1_rmod_2(D,B,C)
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C)
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_4_0_rmod_3]) ).
fof(f_3329_2,plain,
! [U_8474,U_8473,U_8472,U_8471,U_8470] :
( ( ( r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ! [U_8469,U_8468] :
( ~ r1_rlvect_1(U_8470,U_8468)
| ~ r1_rlvect_1(U_8471,U_8469)
| U_8474 != k4_rlvect_1(U_8472,U_8469,U_8468)
| ~ m1_subset_1(U_8468,u1_struct_0(U_8472))
| ~ m1_subset_1(U_8469,u1_struct_0(U_8472)) ) )
& ( ? [U_8467,U_8466] :
( r1_rlvect_1(U_8470,U_8466)
& r1_rlvect_1(U_8471,U_8467)
& U_8474 = k4_rlvect_1(U_8472,U_8467,U_8466)
& m1_subset_1(U_8466,u1_struct_0(U_8472))
& m1_subset_1(U_8467,u1_struct_0(U_8472)) )
| ~ r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470)) ) )
| ~ m1_rmod_2(U_8470,U_8473,U_8472)
| ~ m1_rmod_2(U_8471,U_8473,U_8472)
| ~ l1_vectsp_2(U_8472,U_8473)
| ~ v5_vectsp_2(U_8472,U_8473)
| ~ v6_rlvect_1(U_8472)
| ~ v5_rlvect_1(U_8472)
| ~ v4_rlvect_1(U_8472)
| ~ v3_rlvect_1(U_8472)
| v3_struct_0(U_8472)
| ~ l3_vectsp_1(U_8473)
| ~ v8_vectsp_1(U_8473)
| ~ v7_vectsp_1(U_8473)
| ~ v6_vectsp_1(U_8473)
| ~ v4_group_1(U_8473)
| ~ v6_rlvect_1(U_8473)
| ~ v5_rlvect_1(U_8473)
| ~ v4_rlvect_1(U_8473)
| ~ v3_rlvect_1(U_8473)
| v3_struct_0(U_8473) ),
inference(variable_rename,[status(thm)],[f_3329_1]) ).
fof(f_3329_3,plain,
! [U_8474,U_8473,U_8472,U_8471,U_8470] :
( ( ( r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ! [U_8469] :
( ! [U_8468] :
( ~ r1_rlvect_1(U_8470,U_8468)
| U_8474 != k4_rlvect_1(U_8472,U_8469,U_8468)
| ~ m1_subset_1(U_8468,u1_struct_0(U_8472)) )
| ~ r1_rlvect_1(U_8471,U_8469)
| ~ m1_subset_1(U_8469,u1_struct_0(U_8472)) ) )
& ( ? [U_8467] :
( ? [U_8466] :
( r1_rlvect_1(U_8470,U_8466)
& U_8474 = k4_rlvect_1(U_8472,U_8467,U_8466)
& m1_subset_1(U_8466,u1_struct_0(U_8472)) )
& r1_rlvect_1(U_8471,U_8467)
& m1_subset_1(U_8467,u1_struct_0(U_8472)) )
| ~ r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470)) ) )
| ~ m1_rmod_2(U_8470,U_8473,U_8472)
| ~ m1_rmod_2(U_8471,U_8473,U_8472)
| ~ l1_vectsp_2(U_8472,U_8473)
| ~ v5_vectsp_2(U_8472,U_8473)
| ~ v6_rlvect_1(U_8472)
| ~ v5_rlvect_1(U_8472)
| ~ v4_rlvect_1(U_8472)
| ~ v3_rlvect_1(U_8472)
| v3_struct_0(U_8472)
| ~ l3_vectsp_1(U_8473)
| ~ v8_vectsp_1(U_8473)
| ~ v7_vectsp_1(U_8473)
| ~ v6_vectsp_1(U_8473)
| ~ v4_group_1(U_8473)
| ~ v6_rlvect_1(U_8473)
| ~ v5_rlvect_1(U_8473)
| ~ v4_rlvect_1(U_8473)
| ~ v3_rlvect_1(U_8473)
| v3_struct_0(U_8473) ),
inference(miniscope,[status(thm)],[f_3329_2]) ).
fof(f_3329_4,plain,
! [U_8474,U_8473,U_8472,U_8471,U_8470] :
( ( ( r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ! [U_8469] :
( ! [U_8468] :
( ~ r1_rlvect_1(U_8470,U_8468)
| U_8474 != k4_rlvect_1(U_8472,U_8469,U_8468)
| ~ m1_subset_1(U_8468,u1_struct_0(U_8472)) )
| ~ r1_rlvect_1(U_8471,U_8469)
| ~ m1_subset_1(U_8469,u1_struct_0(U_8472)) ) )
& ( ( ? [U_8466] :
( r1_rlvect_1(U_8470,U_8466)
& U_8474 = k4_rlvect_1(U_8472,sK986(U_8474,U_8473,U_8472,U_8471,U_8470),U_8466)
& m1_subset_1(U_8466,u1_struct_0(U_8472)) )
& r1_rlvect_1(U_8471,sK986(U_8474,U_8473,U_8472,U_8471,U_8470))
& m1_subset_1(sK986(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472)) )
| ~ r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470)) ) )
| ~ m1_rmod_2(U_8470,U_8473,U_8472)
| ~ m1_rmod_2(U_8471,U_8473,U_8472)
| ~ l1_vectsp_2(U_8472,U_8473)
| ~ v5_vectsp_2(U_8472,U_8473)
| ~ v6_rlvect_1(U_8472)
| ~ v5_rlvect_1(U_8472)
| ~ v4_rlvect_1(U_8472)
| ~ v3_rlvect_1(U_8472)
| v3_struct_0(U_8472)
| ~ l3_vectsp_1(U_8473)
| ~ v8_vectsp_1(U_8473)
| ~ v7_vectsp_1(U_8473)
| ~ v6_vectsp_1(U_8473)
| ~ v4_group_1(U_8473)
| ~ v6_rlvect_1(U_8473)
| ~ v5_rlvect_1(U_8473)
| ~ v4_rlvect_1(U_8473)
| ~ v3_rlvect_1(U_8473)
| v3_struct_0(U_8473) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK986]),skolemize(U_8467,sK986(U_8474,U_8473,U_8472,U_8471,U_8470))],[f_3329_3]) ).
fof(f_3329_5,plain,
! [U_8474,U_8473,U_8472,U_8471,U_8470] :
( ( ( r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ! [U_8469] :
( ! [U_8468] :
( ~ r1_rlvect_1(U_8470,U_8468)
| U_8474 != k4_rlvect_1(U_8472,U_8469,U_8468)
| ~ m1_subset_1(U_8468,u1_struct_0(U_8472)) )
| ~ r1_rlvect_1(U_8471,U_8469)
| ~ m1_subset_1(U_8469,u1_struct_0(U_8472)) ) )
& ( ( r1_rlvect_1(U_8470,sK987(U_8474,U_8473,U_8472,U_8471,U_8470))
& U_8474 = k4_rlvect_1(U_8472,sK986(U_8474,U_8473,U_8472,U_8471,U_8470),sK987(U_8474,U_8473,U_8472,U_8471,U_8470))
& m1_subset_1(sK987(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472))
& r1_rlvect_1(U_8471,sK986(U_8474,U_8473,U_8472,U_8471,U_8470))
& m1_subset_1(sK986(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472)) )
| ~ r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470)) ) )
| ~ m1_rmod_2(U_8470,U_8473,U_8472)
| ~ m1_rmod_2(U_8471,U_8473,U_8472)
| ~ l1_vectsp_2(U_8472,U_8473)
| ~ v5_vectsp_2(U_8472,U_8473)
| ~ v6_rlvect_1(U_8472)
| ~ v5_rlvect_1(U_8472)
| ~ v4_rlvect_1(U_8472)
| ~ v3_rlvect_1(U_8472)
| v3_struct_0(U_8472)
| ~ l3_vectsp_1(U_8473)
| ~ v8_vectsp_1(U_8473)
| ~ v7_vectsp_1(U_8473)
| ~ v6_vectsp_1(U_8473)
| ~ v4_group_1(U_8473)
| ~ v6_rlvect_1(U_8473)
| ~ v5_rlvect_1(U_8473)
| ~ v4_rlvect_1(U_8473)
| ~ v3_rlvect_1(U_8473)
| v3_struct_0(U_8473) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK987]),skolemize(U_8466,sK987(U_8474,U_8473,U_8472,U_8471,U_8470))],[f_3329_4]) ).
fof(f_3329_6,plain,
( ! [U_8470,U_8471,U_8473,U_8472,U_8474] :
( r1_rlvect_1(U_8470,sK987(U_8474,U_8473,U_8472,U_8471,U_8470))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) )
& ! [U_8470,U_8471,U_8473,U_8472,U_8474] :
( U_8474 = k4_rlvect_1(U_8472,sK986(U_8474,U_8473,U_8472,U_8471,U_8470),sK987(U_8474,U_8473,U_8472,U_8471,U_8470))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) )
& ! [U_8470,U_8471,U_8473,U_8472,U_8474] :
( m1_subset_1(sK987(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) )
& ! [U_8470,U_8471,U_8473,U_8472,U_8474] :
( r1_rlvect_1(U_8471,sK986(U_8474,U_8473,U_8472,U_8471,U_8470))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) )
& ! [U_8470,U_8471,U_8473,U_8472,U_8474] :
( m1_subset_1(sK986(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) )
& ! [U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474] :
( r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ~ r1_rlvect_1(U_8470,U_8468)
| U_8474 != k4_rlvect_1(U_8472,U_8469,U_8468)
| ~ m1_subset_1(U_8468,u1_struct_0(U_8472))
| ~ r1_rlvect_1(U_8471,U_8469)
| ~ m1_subset_1(U_8469,u1_struct_0(U_8472))
| ~ sP1502(U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474) )
& ! [U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474] :
( sP1501(U_8470,U_8471,U_8473,U_8472,U_8474)
| ~ r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ~ sP1502(U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474) )
& ! [U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474] :
( sP1502(U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474)
| ~ m1_rmod_2(U_8470,U_8473,U_8472)
| ~ m1_rmod_2(U_8471,U_8473,U_8472)
| ~ l1_vectsp_2(U_8472,U_8473)
| ~ v5_vectsp_2(U_8472,U_8473)
| ~ v6_rlvect_1(U_8472)
| ~ v5_rlvect_1(U_8472)
| ~ v4_rlvect_1(U_8472)
| ~ v3_rlvect_1(U_8472)
| v3_struct_0(U_8472)
| ~ l3_vectsp_1(U_8473)
| ~ v8_vectsp_1(U_8473)
| ~ v7_vectsp_1(U_8473)
| ~ v6_vectsp_1(U_8473)
| ~ v4_group_1(U_8473)
| ~ v6_rlvect_1(U_8473)
| ~ v5_rlvect_1(U_8473)
| ~ v4_rlvect_1(U_8473)
| ~ v3_rlvect_1(U_8473)
| v3_struct_0(U_8473) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1501,sP1502])],[f_3329_5]) ).
cnf(f_3329_7,plain,
( sP1502(U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474)
| ~ m1_rmod_2(U_8470,U_8473,U_8472)
| ~ m1_rmod_2(U_8471,U_8473,U_8472)
| ~ l1_vectsp_2(U_8472,U_8473)
| ~ v5_vectsp_2(U_8472,U_8473)
| ~ v6_rlvect_1(U_8472)
| ~ v5_rlvect_1(U_8472)
| ~ v4_rlvect_1(U_8472)
| ~ v3_rlvect_1(U_8472)
| v3_struct_0(U_8472)
| ~ l3_vectsp_1(U_8473)
| ~ v8_vectsp_1(U_8473)
| ~ v7_vectsp_1(U_8473)
| ~ v6_vectsp_1(U_8473)
| ~ v4_group_1(U_8473)
| ~ v6_rlvect_1(U_8473)
| ~ v5_rlvect_1(U_8473)
| ~ v4_rlvect_1(U_8473)
| ~ v3_rlvect_1(U_8473)
| v3_struct_0(U_8473) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_8,plain,
( sP1501(U_8470,U_8471,U_8473,U_8472,U_8474)
| ~ r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ~ sP1502(U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_9,plain,
( r2_hidden(U_8474,a_4_0_rmod_3(U_8473,U_8472,U_8471,U_8470))
| ~ r1_rlvect_1(U_8470,U_8468)
| U_8474 != k4_rlvect_1(U_8472,U_8469,U_8468)
| ~ m1_subset_1(U_8468,u1_struct_0(U_8472))
| ~ r1_rlvect_1(U_8471,U_8469)
| ~ m1_subset_1(U_8469,u1_struct_0(U_8472))
| ~ sP1502(U_8469,U_8470,U_8471,U_8473,U_8472,U_8468,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_10,plain,
( m1_subset_1(sK986(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_11,plain,
( r1_rlvect_1(U_8471,sK986(U_8474,U_8473,U_8472,U_8471,U_8470))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_12,plain,
( m1_subset_1(sK987(U_8474,U_8473,U_8472,U_8471,U_8470),u1_struct_0(U_8472))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_13,plain,
( U_8474 = k4_rlvect_1(U_8472,sK986(U_8474,U_8473,U_8472,U_8471,U_8470),sK987(U_8474,U_8473,U_8472,U_8471,U_8470))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
cnf(f_3329_14,plain,
( r1_rlvect_1(U_8470,sK987(U_8474,U_8473,U_8472,U_8471,U_8470))
| ~ sP1501(U_8470,U_8471,U_8473,U_8472,U_8474) ),
inference(clausify,[status(thm)],[f_3329_6]) ).
fof(f_3330_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k9_rlvect_1(B,D) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,E))
| ? [F] :
( ? [G] :
( k1_funct_1(D,F) != k6_vectsp_2(A,B,C,G)
& G = k1_funct_1(E,F)
& r2_hidden(F,k1_relat_1(D))
& m1_subset_1(G,u1_struct_0(B)) )
& m2_subset_1(F,k1_numbers,k5_numbers) )
| k3_finseq_1(D) != k3_finseq_1(E)
| ~ m2_finseq_1(E,u1_struct_0(B)) )
| ~ m2_finseq_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t1_rmod_4]) ).
fof(f_3330_2,plain,
! [U_8481] :
( ! [U_8480] :
( ! [U_8479] :
( ! [U_8478] :
( ! [U_8477] :
( k9_rlvect_1(U_8480,U_8478) = k6_vectsp_2(U_8481,U_8480,U_8479,k9_rlvect_1(U_8480,U_8477))
| ? [U_8476] :
( ? [U_8475] :
( k1_funct_1(U_8478,U_8476) != k6_vectsp_2(U_8481,U_8480,U_8479,U_8475)
& U_8475 = k1_funct_1(U_8477,U_8476)
& r2_hidden(U_8476,k1_relat_1(U_8478))
& m1_subset_1(U_8475,u1_struct_0(U_8480)) )
& m2_subset_1(U_8476,k1_numbers,k5_numbers) )
| k3_finseq_1(U_8478) != k3_finseq_1(U_8477)
| ~ m2_finseq_1(U_8477,u1_struct_0(U_8480)) )
| ~ m2_finseq_1(U_8478,u1_struct_0(U_8480)) )
| ~ m1_subset_1(U_8479,u1_struct_0(U_8481)) )
| ~ l1_vectsp_2(U_8480,U_8481)
| ~ v5_vectsp_2(U_8480,U_8481)
| ~ v6_rlvect_1(U_8480)
| ~ v5_rlvect_1(U_8480)
| ~ v4_rlvect_1(U_8480)
| ~ v3_rlvect_1(U_8480)
| v3_struct_0(U_8480) )
| ~ l3_vectsp_1(U_8481)
| ~ v8_vectsp_1(U_8481)
| ~ v7_vectsp_1(U_8481)
| ~ v6_vectsp_1(U_8481)
| ~ v4_group_1(U_8481)
| ~ v6_rlvect_1(U_8481)
| ~ v5_rlvect_1(U_8481)
| ~ v4_rlvect_1(U_8481)
| ~ v3_rlvect_1(U_8481)
| v3_struct_0(U_8481) ),
inference(variable_rename,[status(thm)],[f_3330_1]) ).
fof(f_3330_3,plain,
! [U_8481] :
( ! [U_8480] :
( ! [U_8479] :
( ! [U_8478] :
( ! [U_8477] :
( k9_rlvect_1(U_8480,U_8478) = k6_vectsp_2(U_8481,U_8480,U_8479,k9_rlvect_1(U_8480,U_8477))
| ( ? [U_8475] :
( k1_funct_1(U_8478,sK988(U_8481,U_8480,U_8479,U_8478,U_8477)) != k6_vectsp_2(U_8481,U_8480,U_8479,U_8475)
& U_8475 = k1_funct_1(U_8477,sK988(U_8481,U_8480,U_8479,U_8478,U_8477))
& r2_hidden(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_relat_1(U_8478))
& m1_subset_1(U_8475,u1_struct_0(U_8480)) )
& m2_subset_1(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_numbers,k5_numbers) )
| k3_finseq_1(U_8478) != k3_finseq_1(U_8477)
| ~ m2_finseq_1(U_8477,u1_struct_0(U_8480)) )
| ~ m2_finseq_1(U_8478,u1_struct_0(U_8480)) )
| ~ m1_subset_1(U_8479,u1_struct_0(U_8481)) )
| ~ l1_vectsp_2(U_8480,U_8481)
| ~ v5_vectsp_2(U_8480,U_8481)
| ~ v6_rlvect_1(U_8480)
| ~ v5_rlvect_1(U_8480)
| ~ v4_rlvect_1(U_8480)
| ~ v3_rlvect_1(U_8480)
| v3_struct_0(U_8480) )
| ~ l3_vectsp_1(U_8481)
| ~ v8_vectsp_1(U_8481)
| ~ v7_vectsp_1(U_8481)
| ~ v6_vectsp_1(U_8481)
| ~ v4_group_1(U_8481)
| ~ v6_rlvect_1(U_8481)
| ~ v5_rlvect_1(U_8481)
| ~ v4_rlvect_1(U_8481)
| ~ v3_rlvect_1(U_8481)
| v3_struct_0(U_8481) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK988]),skolemize(U_8476,sK988(U_8481,U_8480,U_8479,U_8478,U_8477))],[f_3330_2]) ).
fof(f_3330_4,plain,
! [U_8481] :
( ! [U_8480] :
( ! [U_8479] :
( ! [U_8478] :
( ! [U_8477] :
( k9_rlvect_1(U_8480,U_8478) = k6_vectsp_2(U_8481,U_8480,U_8479,k9_rlvect_1(U_8480,U_8477))
| ( k1_funct_1(U_8478,sK988(U_8481,U_8480,U_8479,U_8478,U_8477)) != k6_vectsp_2(U_8481,U_8480,U_8479,sK989(U_8481,U_8480,U_8479,U_8478,U_8477))
& sK989(U_8481,U_8480,U_8479,U_8478,U_8477) = k1_funct_1(U_8477,sK988(U_8481,U_8480,U_8479,U_8478,U_8477))
& r2_hidden(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_relat_1(U_8478))
& m1_subset_1(sK989(U_8481,U_8480,U_8479,U_8478,U_8477),u1_struct_0(U_8480))
& m2_subset_1(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_numbers,k5_numbers) )
| k3_finseq_1(U_8478) != k3_finseq_1(U_8477)
| ~ m2_finseq_1(U_8477,u1_struct_0(U_8480)) )
| ~ m2_finseq_1(U_8478,u1_struct_0(U_8480)) )
| ~ m1_subset_1(U_8479,u1_struct_0(U_8481)) )
| ~ l1_vectsp_2(U_8480,U_8481)
| ~ v5_vectsp_2(U_8480,U_8481)
| ~ v6_rlvect_1(U_8480)
| ~ v5_rlvect_1(U_8480)
| ~ v4_rlvect_1(U_8480)
| ~ v3_rlvect_1(U_8480)
| v3_struct_0(U_8480) )
| ~ l3_vectsp_1(U_8481)
| ~ v8_vectsp_1(U_8481)
| ~ v7_vectsp_1(U_8481)
| ~ v6_vectsp_1(U_8481)
| ~ v4_group_1(U_8481)
| ~ v6_rlvect_1(U_8481)
| ~ v5_rlvect_1(U_8481)
| ~ v4_rlvect_1(U_8481)
| ~ v3_rlvect_1(U_8481)
| v3_struct_0(U_8481) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK989]),skolemize(U_8475,sK989(U_8481,U_8480,U_8479,U_8478,U_8477))],[f_3330_3]) ).
fof(f_3330_5,plain,
( ! [U_8478,U_8477,U_8480,U_8479,U_8481] :
( k1_funct_1(U_8478,sK988(U_8481,U_8480,U_8479,U_8478,U_8477)) != k6_vectsp_2(U_8481,U_8480,U_8479,sK989(U_8481,U_8480,U_8479,U_8478,U_8477))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) )
& ! [U_8478,U_8477,U_8480,U_8479,U_8481] :
( sK989(U_8481,U_8480,U_8479,U_8478,U_8477) = k1_funct_1(U_8477,sK988(U_8481,U_8480,U_8479,U_8478,U_8477))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) )
& ! [U_8478,U_8477,U_8480,U_8479,U_8481] :
( r2_hidden(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_relat_1(U_8478))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) )
& ! [U_8478,U_8477,U_8480,U_8479,U_8481] :
( m1_subset_1(sK989(U_8481,U_8480,U_8479,U_8478,U_8477),u1_struct_0(U_8480))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) )
& ! [U_8478,U_8477,U_8480,U_8479,U_8481] :
( m2_subset_1(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_numbers,k5_numbers)
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) )
& ! [U_8478,U_8477,U_8480,U_8479,U_8481] :
( k9_rlvect_1(U_8480,U_8478) = k6_vectsp_2(U_8481,U_8480,U_8479,k9_rlvect_1(U_8480,U_8477))
| sP1503(U_8478,U_8477,U_8480,U_8479,U_8481)
| k3_finseq_1(U_8478) != k3_finseq_1(U_8477)
| ~ m2_finseq_1(U_8477,u1_struct_0(U_8480))
| ~ m2_finseq_1(U_8478,u1_struct_0(U_8480))
| ~ m1_subset_1(U_8479,u1_struct_0(U_8481))
| ~ l1_vectsp_2(U_8480,U_8481)
| ~ v5_vectsp_2(U_8480,U_8481)
| ~ v6_rlvect_1(U_8480)
| ~ v5_rlvect_1(U_8480)
| ~ v4_rlvect_1(U_8480)
| ~ v3_rlvect_1(U_8480)
| v3_struct_0(U_8480)
| ~ l3_vectsp_1(U_8481)
| ~ v8_vectsp_1(U_8481)
| ~ v7_vectsp_1(U_8481)
| ~ v6_vectsp_1(U_8481)
| ~ v4_group_1(U_8481)
| ~ v6_rlvect_1(U_8481)
| ~ v5_rlvect_1(U_8481)
| ~ v4_rlvect_1(U_8481)
| ~ v3_rlvect_1(U_8481)
| v3_struct_0(U_8481) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1503])],[f_3330_4]) ).
cnf(f_3330_6,plain,
( k9_rlvect_1(U_8480,U_8478) = k6_vectsp_2(U_8481,U_8480,U_8479,k9_rlvect_1(U_8480,U_8477))
| sP1503(U_8478,U_8477,U_8480,U_8479,U_8481)
| k3_finseq_1(U_8478) != k3_finseq_1(U_8477)
| ~ m2_finseq_1(U_8477,u1_struct_0(U_8480))
| ~ m2_finseq_1(U_8478,u1_struct_0(U_8480))
| ~ m1_subset_1(U_8479,u1_struct_0(U_8481))
| ~ l1_vectsp_2(U_8480,U_8481)
| ~ v5_vectsp_2(U_8480,U_8481)
| ~ v6_rlvect_1(U_8480)
| ~ v5_rlvect_1(U_8480)
| ~ v4_rlvect_1(U_8480)
| ~ v3_rlvect_1(U_8480)
| v3_struct_0(U_8480)
| ~ l3_vectsp_1(U_8481)
| ~ v8_vectsp_1(U_8481)
| ~ v7_vectsp_1(U_8481)
| ~ v6_vectsp_1(U_8481)
| ~ v4_group_1(U_8481)
| ~ v6_rlvect_1(U_8481)
| ~ v5_rlvect_1(U_8481)
| ~ v4_rlvect_1(U_8481)
| ~ v3_rlvect_1(U_8481)
| v3_struct_0(U_8481) ),
inference(clausify,[status(thm)],[f_3330_5]) ).
cnf(f_3330_7,plain,
( m2_subset_1(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_numbers,k5_numbers)
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) ),
inference(clausify,[status(thm)],[f_3330_5]) ).
cnf(f_3330_8,plain,
( m1_subset_1(sK989(U_8481,U_8480,U_8479,U_8478,U_8477),u1_struct_0(U_8480))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) ),
inference(clausify,[status(thm)],[f_3330_5]) ).
cnf(f_3330_9,plain,
( r2_hidden(sK988(U_8481,U_8480,U_8479,U_8478,U_8477),k1_relat_1(U_8478))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) ),
inference(clausify,[status(thm)],[f_3330_5]) ).
cnf(f_3330_10,plain,
( sK989(U_8481,U_8480,U_8479,U_8478,U_8477) = k1_funct_1(U_8477,sK988(U_8481,U_8480,U_8479,U_8478,U_8477))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) ),
inference(clausify,[status(thm)],[f_3330_5]) ).
cnf(f_3330_11,plain,
( k1_funct_1(U_8478,sK988(U_8481,U_8480,U_8479,U_8478,U_8477)) != k6_vectsp_2(U_8481,U_8480,U_8479,sK989(U_8481,U_8480,U_8479,U_8478,U_8477))
| ~ sP1503(U_8478,U_8477,U_8480,U_8479,U_8481) ),
inference(clausify,[status(thm)],[f_3330_5]) ).
fof(f_3331_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_vectsp_2(A,B,C,k9_rlvect_1(B,k6_finseq_1(u1_struct_0(B)))) = k1_rlvect_1(B)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t2_rmod_4]) ).
fof(f_3331_2,plain,
! [U_8484] :
( ! [U_8483] :
( ! [U_8482] :
( k6_vectsp_2(U_8484,U_8483,U_8482,k9_rlvect_1(U_8483,k6_finseq_1(u1_struct_0(U_8483)))) = k1_rlvect_1(U_8483)
| ~ m1_subset_1(U_8482,u1_struct_0(U_8484)) )
| ~ l1_vectsp_2(U_8483,U_8484)
| ~ v5_vectsp_2(U_8483,U_8484)
| ~ v6_rlvect_1(U_8483)
| ~ v5_rlvect_1(U_8483)
| ~ v4_rlvect_1(U_8483)
| ~ v3_rlvect_1(U_8483)
| v3_struct_0(U_8483) )
| ~ l3_vectsp_1(U_8484)
| ~ v8_vectsp_1(U_8484)
| ~ v7_vectsp_1(U_8484)
| ~ v6_vectsp_1(U_8484)
| ~ v4_group_1(U_8484)
| ~ v6_rlvect_1(U_8484)
| ~ v5_rlvect_1(U_8484)
| ~ v4_rlvect_1(U_8484)
| ~ v3_rlvect_1(U_8484)
| v3_struct_0(U_8484) ),
inference(variable_rename,[status(thm)],[f_3331_1]) ).
fof(f_3331_3,plain,
! [U_8482,U_8483,U_8484] :
( k6_vectsp_2(U_8484,U_8483,U_8482,k9_rlvect_1(U_8483,k6_finseq_1(u1_struct_0(U_8483)))) = k1_rlvect_1(U_8483)
| ~ m1_subset_1(U_8482,u1_struct_0(U_8484))
| ~ l1_vectsp_2(U_8483,U_8484)
| ~ v5_vectsp_2(U_8483,U_8484)
| ~ v6_rlvect_1(U_8483)
| ~ v5_rlvect_1(U_8483)
| ~ v4_rlvect_1(U_8483)
| ~ v3_rlvect_1(U_8483)
| v3_struct_0(U_8483)
| ~ l3_vectsp_1(U_8484)
| ~ v8_vectsp_1(U_8484)
| ~ v7_vectsp_1(U_8484)
| ~ v6_vectsp_1(U_8484)
| ~ v4_group_1(U_8484)
| ~ v6_rlvect_1(U_8484)
| ~ v5_rlvect_1(U_8484)
| ~ v4_rlvect_1(U_8484)
| ~ v3_rlvect_1(U_8484)
| v3_struct_0(U_8484) ),
inference(definitional_conversion,[status(esa)],[f_3331_2]) ).
cnf(f_3331_4,plain,
( k6_vectsp_2(U_8484,U_8483,U_8482,k9_rlvect_1(U_8483,k6_finseq_1(u1_struct_0(U_8483)))) = k1_rlvect_1(U_8483)
| ~ m1_subset_1(U_8482,u1_struct_0(U_8484))
| ~ l1_vectsp_2(U_8483,U_8484)
| ~ v5_vectsp_2(U_8483,U_8484)
| ~ v6_rlvect_1(U_8483)
| ~ v5_rlvect_1(U_8483)
| ~ v4_rlvect_1(U_8483)
| ~ v3_rlvect_1(U_8483)
| v3_struct_0(U_8483)
| ~ l3_vectsp_1(U_8484)
| ~ v8_vectsp_1(U_8484)
| ~ v7_vectsp_1(U_8484)
| ~ v6_vectsp_1(U_8484)
| ~ v4_group_1(U_8484)
| ~ v6_rlvect_1(U_8484)
| ~ v5_rlvect_1(U_8484)
| ~ v4_rlvect_1(U_8484)
| ~ v3_rlvect_1(U_8484)
| v3_struct_0(U_8484) ),
inference(clausify,[status(thm)],[f_3331_3]) ).
fof(f_3332_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k6_vectsp_2(A,B,C,k9_rlvect_1(B,k2_finseq_4(u1_struct_0(B),D,E))) = k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E))
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t3_rmod_4]) ).
fof(f_3332_2,plain,
! [U_8489] :
( ! [U_8488] :
( ! [U_8487] :
( ! [U_8486] :
( ! [U_8485] :
( k6_vectsp_2(U_8489,U_8488,U_8487,k9_rlvect_1(U_8488,k2_finseq_4(u1_struct_0(U_8488),U_8486,U_8485))) = k4_rlvect_1(U_8488,k6_vectsp_2(U_8489,U_8488,U_8487,U_8486),k6_vectsp_2(U_8489,U_8488,U_8487,U_8485))
| ~ m1_subset_1(U_8485,u1_struct_0(U_8488)) )
| ~ m1_subset_1(U_8486,u1_struct_0(U_8488)) )
| ~ m1_subset_1(U_8487,u1_struct_0(U_8489)) )
| ~ l1_vectsp_2(U_8488,U_8489)
| ~ v5_vectsp_2(U_8488,U_8489)
| ~ v6_rlvect_1(U_8488)
| ~ v5_rlvect_1(U_8488)
| ~ v4_rlvect_1(U_8488)
| ~ v3_rlvect_1(U_8488)
| v3_struct_0(U_8488) )
| ~ l3_vectsp_1(U_8489)
| ~ v8_vectsp_1(U_8489)
| ~ v7_vectsp_1(U_8489)
| ~ v6_vectsp_1(U_8489)
| ~ v4_group_1(U_8489)
| ~ v6_rlvect_1(U_8489)
| ~ v5_rlvect_1(U_8489)
| ~ v4_rlvect_1(U_8489)
| ~ v3_rlvect_1(U_8489)
| v3_struct_0(U_8489) ),
inference(variable_rename,[status(thm)],[f_3332_1]) ).
fof(f_3332_3,plain,
! [U_8487,U_8485,U_8489,U_8488,U_8486] :
( k6_vectsp_2(U_8489,U_8488,U_8487,k9_rlvect_1(U_8488,k2_finseq_4(u1_struct_0(U_8488),U_8486,U_8485))) = k4_rlvect_1(U_8488,k6_vectsp_2(U_8489,U_8488,U_8487,U_8486),k6_vectsp_2(U_8489,U_8488,U_8487,U_8485))
| ~ m1_subset_1(U_8485,u1_struct_0(U_8488))
| ~ m1_subset_1(U_8486,u1_struct_0(U_8488))
| ~ m1_subset_1(U_8487,u1_struct_0(U_8489))
| ~ l1_vectsp_2(U_8488,U_8489)
| ~ v5_vectsp_2(U_8488,U_8489)
| ~ v6_rlvect_1(U_8488)
| ~ v5_rlvect_1(U_8488)
| ~ v4_rlvect_1(U_8488)
| ~ v3_rlvect_1(U_8488)
| v3_struct_0(U_8488)
| ~ l3_vectsp_1(U_8489)
| ~ v8_vectsp_1(U_8489)
| ~ v7_vectsp_1(U_8489)
| ~ v6_vectsp_1(U_8489)
| ~ v4_group_1(U_8489)
| ~ v6_rlvect_1(U_8489)
| ~ v5_rlvect_1(U_8489)
| ~ v4_rlvect_1(U_8489)
| ~ v3_rlvect_1(U_8489)
| v3_struct_0(U_8489) ),
inference(definitional_conversion,[status(esa)],[f_3332_2]) ).
cnf(f_3332_4,plain,
( k6_vectsp_2(U_8489,U_8488,U_8487,k9_rlvect_1(U_8488,k2_finseq_4(u1_struct_0(U_8488),U_8486,U_8485))) = k4_rlvect_1(U_8488,k6_vectsp_2(U_8489,U_8488,U_8487,U_8486),k6_vectsp_2(U_8489,U_8488,U_8487,U_8485))
| ~ m1_subset_1(U_8485,u1_struct_0(U_8488))
| ~ m1_subset_1(U_8486,u1_struct_0(U_8488))
| ~ m1_subset_1(U_8487,u1_struct_0(U_8489))
| ~ l1_vectsp_2(U_8488,U_8489)
| ~ v5_vectsp_2(U_8488,U_8489)
| ~ v6_rlvect_1(U_8488)
| ~ v5_rlvect_1(U_8488)
| ~ v4_rlvect_1(U_8488)
| ~ v3_rlvect_1(U_8488)
| v3_struct_0(U_8488)
| ~ l3_vectsp_1(U_8489)
| ~ v8_vectsp_1(U_8489)
| ~ v7_vectsp_1(U_8489)
| ~ v6_vectsp_1(U_8489)
| ~ v4_group_1(U_8489)
| ~ v6_rlvect_1(U_8489)
| ~ v5_rlvect_1(U_8489)
| ~ v4_rlvect_1(U_8489)
| ~ v3_rlvect_1(U_8489)
| v3_struct_0(U_8489) ),
inference(clausify,[status(thm)],[f_3332_3]) ).
fof(f_3333_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k6_vectsp_2(A,B,C,k9_rlvect_1(B,k3_finseq_4(u1_struct_0(B),D,E,F))) = k4_rlvect_1(B,k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)),k6_vectsp_2(A,B,C,F))
| ~ m1_subset_1(F,u1_struct_0(B)) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t4_rmod_4]) ).
fof(f_3333_2,plain,
! [U_8495] :
( ! [U_8494] :
( ! [U_8493] :
( ! [U_8492] :
( ! [U_8491] :
( ! [U_8490] :
( k6_vectsp_2(U_8495,U_8494,U_8493,k9_rlvect_1(U_8494,k3_finseq_4(u1_struct_0(U_8494),U_8492,U_8491,U_8490))) = k4_rlvect_1(U_8494,k4_rlvect_1(U_8494,k6_vectsp_2(U_8495,U_8494,U_8493,U_8492),k6_vectsp_2(U_8495,U_8494,U_8493,U_8491)),k6_vectsp_2(U_8495,U_8494,U_8493,U_8490))
| ~ m1_subset_1(U_8490,u1_struct_0(U_8494)) )
| ~ m1_subset_1(U_8491,u1_struct_0(U_8494)) )
| ~ m1_subset_1(U_8492,u1_struct_0(U_8494)) )
| ~ m1_subset_1(U_8493,u1_struct_0(U_8495)) )
| ~ l1_vectsp_2(U_8494,U_8495)
| ~ v5_vectsp_2(U_8494,U_8495)
| ~ v6_rlvect_1(U_8494)
| ~ v5_rlvect_1(U_8494)
| ~ v4_rlvect_1(U_8494)
| ~ v3_rlvect_1(U_8494)
| v3_struct_0(U_8494) )
| ~ l3_vectsp_1(U_8495)
| ~ v8_vectsp_1(U_8495)
| ~ v7_vectsp_1(U_8495)
| ~ v6_vectsp_1(U_8495)
| ~ v4_group_1(U_8495)
| ~ v6_rlvect_1(U_8495)
| ~ v5_rlvect_1(U_8495)
| ~ v4_rlvect_1(U_8495)
| ~ v3_rlvect_1(U_8495)
| v3_struct_0(U_8495) ),
inference(variable_rename,[status(thm)],[f_3333_1]) ).
fof(f_3333_3,plain,
! [U_8492,U_8495,U_8493,U_8494,U_8490,U_8491] :
( k6_vectsp_2(U_8495,U_8494,U_8493,k9_rlvect_1(U_8494,k3_finseq_4(u1_struct_0(U_8494),U_8492,U_8491,U_8490))) = k4_rlvect_1(U_8494,k4_rlvect_1(U_8494,k6_vectsp_2(U_8495,U_8494,U_8493,U_8492),k6_vectsp_2(U_8495,U_8494,U_8493,U_8491)),k6_vectsp_2(U_8495,U_8494,U_8493,U_8490))
| ~ m1_subset_1(U_8490,u1_struct_0(U_8494))
| ~ m1_subset_1(U_8491,u1_struct_0(U_8494))
| ~ m1_subset_1(U_8492,u1_struct_0(U_8494))
| ~ m1_subset_1(U_8493,u1_struct_0(U_8495))
| ~ l1_vectsp_2(U_8494,U_8495)
| ~ v5_vectsp_2(U_8494,U_8495)
| ~ v6_rlvect_1(U_8494)
| ~ v5_rlvect_1(U_8494)
| ~ v4_rlvect_1(U_8494)
| ~ v3_rlvect_1(U_8494)
| v3_struct_0(U_8494)
| ~ l3_vectsp_1(U_8495)
| ~ v8_vectsp_1(U_8495)
| ~ v7_vectsp_1(U_8495)
| ~ v6_vectsp_1(U_8495)
| ~ v4_group_1(U_8495)
| ~ v6_rlvect_1(U_8495)
| ~ v5_rlvect_1(U_8495)
| ~ v4_rlvect_1(U_8495)
| ~ v3_rlvect_1(U_8495)
| v3_struct_0(U_8495) ),
inference(definitional_conversion,[status(esa)],[f_3333_2]) ).
cnf(f_3333_4,plain,
( k6_vectsp_2(U_8495,U_8494,U_8493,k9_rlvect_1(U_8494,k3_finseq_4(u1_struct_0(U_8494),U_8492,U_8491,U_8490))) = k4_rlvect_1(U_8494,k4_rlvect_1(U_8494,k6_vectsp_2(U_8495,U_8494,U_8493,U_8492),k6_vectsp_2(U_8495,U_8494,U_8493,U_8491)),k6_vectsp_2(U_8495,U_8494,U_8493,U_8490))
| ~ m1_subset_1(U_8490,u1_struct_0(U_8494))
| ~ m1_subset_1(U_8491,u1_struct_0(U_8494))
| ~ m1_subset_1(U_8492,u1_struct_0(U_8494))
| ~ m1_subset_1(U_8493,u1_struct_0(U_8495))
| ~ l1_vectsp_2(U_8494,U_8495)
| ~ v5_vectsp_2(U_8494,U_8495)
| ~ v6_rlvect_1(U_8494)
| ~ v5_rlvect_1(U_8494)
| ~ v4_rlvect_1(U_8494)
| ~ v3_rlvect_1(U_8494)
| v3_struct_0(U_8494)
| ~ l3_vectsp_1(U_8495)
| ~ v8_vectsp_1(U_8495)
| ~ v7_vectsp_1(U_8495)
| ~ v6_vectsp_1(U_8495)
| ~ v4_group_1(U_8495)
| ~ v6_rlvect_1(U_8495)
| ~ v5_rlvect_1(U_8495)
| ~ v4_rlvect_1(U_8495)
| ~ v3_rlvect_1(U_8495)
| v3_struct_0(U_8495) ),
inference(clausify,[status(thm)],[f_3333_3]) ).
fof(f_3334_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d1_rmod_4]) ).
fof(f_3334_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3334_1]) ).
cnf(f_3334_3,plain,
$true,
inference(clausify,[status(thm)],[f_3334_2]) ).
fof(f_3335_1,plain,
$true,
inference(fof_nnf,[status(thm)],[d2_rmod_4]) ).
fof(f_3335_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3335_1]) ).
cnf(f_3335_3,plain,
$true,
inference(clausify,[status(thm)],[f_3335_2]) ).
fof(f_3336_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k1_rmod_4(A,B,C)
| ! [E] :
( D != k9_rlvect_1(B,E)
| ~ v2_funct_1(E)
| k2_relat_1(E) != C
| ~ m2_finseq_1(E,u1_struct_0(B)) ) )
& ( ? [E] :
( D = k9_rlvect_1(B,E)
& v2_funct_1(E)
& k2_relat_1(E) = C
& m2_finseq_1(E,u1_struct_0(B)) )
| D != k1_rmod_4(A,B,C) ) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d3_rmod_4]) ).
fof(f_3336_2,plain,
! [U_8501] :
( ! [U_8500] :
( ! [U_8499] :
( ! [U_8498] :
( ( ( U_8498 = k1_rmod_4(U_8501,U_8500,U_8499)
| ! [U_8497] :
( U_8498 != k9_rlvect_1(U_8500,U_8497)
| ~ v2_funct_1(U_8497)
| k2_relat_1(U_8497) != U_8499
| ~ m2_finseq_1(U_8497,u1_struct_0(U_8500)) ) )
& ( ? [U_8496] :
( U_8498 = k9_rlvect_1(U_8500,U_8496)
& v2_funct_1(U_8496)
& k2_relat_1(U_8496) = U_8499
& m2_finseq_1(U_8496,u1_struct_0(U_8500)) )
| U_8498 != k1_rmod_4(U_8501,U_8500,U_8499) ) )
| ~ m1_subset_1(U_8498,u1_struct_0(U_8500)) )
| ~ m1_subset_1(U_8499,k1_zfmisc_1(u1_struct_0(U_8500)))
| ~ v1_finset_1(U_8499) )
| ~ l1_vectsp_2(U_8500,U_8501)
| ~ v5_vectsp_2(U_8500,U_8501)
| ~ v6_rlvect_1(U_8500)
| ~ v5_rlvect_1(U_8500)
| ~ v4_rlvect_1(U_8500)
| ~ v3_rlvect_1(U_8500)
| v3_struct_0(U_8500) )
| ~ l3_vectsp_1(U_8501)
| ~ v8_vectsp_1(U_8501)
| ~ v7_vectsp_1(U_8501)
| ~ v6_vectsp_1(U_8501)
| ~ v4_group_1(U_8501)
| ~ v6_rlvect_1(U_8501)
| ~ v5_rlvect_1(U_8501)
| ~ v4_rlvect_1(U_8501)
| ~ v3_rlvect_1(U_8501)
| v3_struct_0(U_8501) ),
inference(variable_rename,[status(thm)],[f_3336_1]) ).
fof(f_3336_3,plain,
! [U_8501] :
( ! [U_8500] :
( ! [U_8499] :
( ! [U_8498] :
( ( ( U_8498 = k1_rmod_4(U_8501,U_8500,U_8499)
| ! [U_8497] :
( U_8498 != k9_rlvect_1(U_8500,U_8497)
| ~ v2_funct_1(U_8497)
| k2_relat_1(U_8497) != U_8499
| ~ m2_finseq_1(U_8497,u1_struct_0(U_8500)) ) )
& ( ( U_8498 = k9_rlvect_1(U_8500,sK990(U_8501,U_8500,U_8499,U_8498))
& v2_funct_1(sK990(U_8501,U_8500,U_8499,U_8498))
& k2_relat_1(sK990(U_8501,U_8500,U_8499,U_8498)) = U_8499
& m2_finseq_1(sK990(U_8501,U_8500,U_8499,U_8498),u1_struct_0(U_8500)) )
| U_8498 != k1_rmod_4(U_8501,U_8500,U_8499) ) )
| ~ m1_subset_1(U_8498,u1_struct_0(U_8500)) )
| ~ m1_subset_1(U_8499,k1_zfmisc_1(u1_struct_0(U_8500)))
| ~ v1_finset_1(U_8499) )
| ~ l1_vectsp_2(U_8500,U_8501)
| ~ v5_vectsp_2(U_8500,U_8501)
| ~ v6_rlvect_1(U_8500)
| ~ v5_rlvect_1(U_8500)
| ~ v4_rlvect_1(U_8500)
| ~ v3_rlvect_1(U_8500)
| v3_struct_0(U_8500) )
| ~ l3_vectsp_1(U_8501)
| ~ v8_vectsp_1(U_8501)
| ~ v7_vectsp_1(U_8501)
| ~ v6_vectsp_1(U_8501)
| ~ v4_group_1(U_8501)
| ~ v6_rlvect_1(U_8501)
| ~ v5_rlvect_1(U_8501)
| ~ v4_rlvect_1(U_8501)
| ~ v3_rlvect_1(U_8501)
| v3_struct_0(U_8501) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK990]),skolemize(U_8496,sK990(U_8501,U_8500,U_8499,U_8498))],[f_3336_2]) ).
fof(f_3336_4,plain,
( ! [U_8498,U_8499,U_8501,U_8500] :
( U_8498 = k9_rlvect_1(U_8500,sK990(U_8501,U_8500,U_8499,U_8498))
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) )
& ! [U_8498,U_8499,U_8501,U_8500] :
( v2_funct_1(sK990(U_8501,U_8500,U_8499,U_8498))
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) )
& ! [U_8498,U_8499,U_8501,U_8500] :
( k2_relat_1(sK990(U_8501,U_8500,U_8499,U_8498)) = U_8499
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) )
& ! [U_8498,U_8499,U_8501,U_8500] :
( m2_finseq_1(sK990(U_8501,U_8500,U_8499,U_8498),u1_struct_0(U_8500))
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) )
& ! [U_8497,U_8498,U_8499,U_8501,U_8500] :
( U_8498 = k1_rmod_4(U_8501,U_8500,U_8499)
| U_8498 != k9_rlvect_1(U_8500,U_8497)
| ~ v2_funct_1(U_8497)
| k2_relat_1(U_8497) != U_8499
| ~ m2_finseq_1(U_8497,u1_struct_0(U_8500))
| ~ sP1505(U_8497,U_8498,U_8499,U_8501,U_8500) )
& ! [U_8497,U_8498,U_8499,U_8501,U_8500] :
( sP1504(U_8498,U_8499,U_8501,U_8500)
| U_8498 != k1_rmod_4(U_8501,U_8500,U_8499)
| ~ sP1505(U_8497,U_8498,U_8499,U_8501,U_8500) )
& ! [U_8497,U_8498,U_8499,U_8501,U_8500] :
( sP1505(U_8497,U_8498,U_8499,U_8501,U_8500)
| ~ m1_subset_1(U_8498,u1_struct_0(U_8500))
| ~ m1_subset_1(U_8499,k1_zfmisc_1(u1_struct_0(U_8500)))
| ~ v1_finset_1(U_8499)
| ~ l1_vectsp_2(U_8500,U_8501)
| ~ v5_vectsp_2(U_8500,U_8501)
| ~ v6_rlvect_1(U_8500)
| ~ v5_rlvect_1(U_8500)
| ~ v4_rlvect_1(U_8500)
| ~ v3_rlvect_1(U_8500)
| v3_struct_0(U_8500)
| ~ l3_vectsp_1(U_8501)
| ~ v8_vectsp_1(U_8501)
| ~ v7_vectsp_1(U_8501)
| ~ v6_vectsp_1(U_8501)
| ~ v4_group_1(U_8501)
| ~ v6_rlvect_1(U_8501)
| ~ v5_rlvect_1(U_8501)
| ~ v4_rlvect_1(U_8501)
| ~ v3_rlvect_1(U_8501)
| v3_struct_0(U_8501) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1504,sP1505])],[f_3336_3]) ).
cnf(f_3336_5,plain,
( sP1505(U_8497,U_8498,U_8499,U_8501,U_8500)
| ~ m1_subset_1(U_8498,u1_struct_0(U_8500))
| ~ m1_subset_1(U_8499,k1_zfmisc_1(u1_struct_0(U_8500)))
| ~ v1_finset_1(U_8499)
| ~ l1_vectsp_2(U_8500,U_8501)
| ~ v5_vectsp_2(U_8500,U_8501)
| ~ v6_rlvect_1(U_8500)
| ~ v5_rlvect_1(U_8500)
| ~ v4_rlvect_1(U_8500)
| ~ v3_rlvect_1(U_8500)
| v3_struct_0(U_8500)
| ~ l3_vectsp_1(U_8501)
| ~ v8_vectsp_1(U_8501)
| ~ v7_vectsp_1(U_8501)
| ~ v6_vectsp_1(U_8501)
| ~ v4_group_1(U_8501)
| ~ v6_rlvect_1(U_8501)
| ~ v5_rlvect_1(U_8501)
| ~ v4_rlvect_1(U_8501)
| ~ v3_rlvect_1(U_8501)
| v3_struct_0(U_8501) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
cnf(f_3336_6,plain,
( sP1504(U_8498,U_8499,U_8501,U_8500)
| U_8498 != k1_rmod_4(U_8501,U_8500,U_8499)
| ~ sP1505(U_8497,U_8498,U_8499,U_8501,U_8500) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
cnf(f_3336_7,plain,
( U_8498 = k1_rmod_4(U_8501,U_8500,U_8499)
| U_8498 != k9_rlvect_1(U_8500,U_8497)
| ~ v2_funct_1(U_8497)
| k2_relat_1(U_8497) != U_8499
| ~ m2_finseq_1(U_8497,u1_struct_0(U_8500))
| ~ sP1505(U_8497,U_8498,U_8499,U_8501,U_8500) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
cnf(f_3336_8,plain,
( m2_finseq_1(sK990(U_8501,U_8500,U_8499,U_8498),u1_struct_0(U_8500))
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
cnf(f_3336_9,plain,
( k2_relat_1(sK990(U_8501,U_8500,U_8499,U_8498)) = U_8499
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
cnf(f_3336_10,plain,
( v2_funct_1(sK990(U_8501,U_8500,U_8499,U_8498))
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
cnf(f_3336_11,plain,
( U_8498 = k9_rlvect_1(U_8500,sK990(U_8501,U_8500,U_8499,U_8498))
| ~ sP1504(U_8498,U_8499,U_8501,U_8500) ),
inference(clausify,[status(thm)],[f_3336_4]) ).
fof(f_3337_1,plain,
! [A] :
( ! [B] :
( k1_rmod_4(A,B,k1_pre_topc(B)) = k1_rlvect_1(B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rmod_4]) ).
fof(f_3337_2,plain,
! [U_8503] :
( ! [U_8502] :
( k1_rmod_4(U_8503,U_8502,k1_pre_topc(U_8502)) = k1_rlvect_1(U_8502)
| ~ l1_vectsp_2(U_8502,U_8503)
| ~ v5_vectsp_2(U_8502,U_8503)
| ~ v6_rlvect_1(U_8502)
| ~ v5_rlvect_1(U_8502)
| ~ v4_rlvect_1(U_8502)
| ~ v3_rlvect_1(U_8502)
| v3_struct_0(U_8502) )
| ~ l3_vectsp_1(U_8503)
| ~ v8_vectsp_1(U_8503)
| ~ v7_vectsp_1(U_8503)
| ~ v6_vectsp_1(U_8503)
| ~ v4_group_1(U_8503)
| ~ v6_rlvect_1(U_8503)
| ~ v5_rlvect_1(U_8503)
| ~ v4_rlvect_1(U_8503)
| ~ v3_rlvect_1(U_8503)
| v3_struct_0(U_8503) ),
inference(variable_rename,[status(thm)],[f_3337_1]) ).
fof(f_3337_3,plain,
! [U_8502,U_8503] :
( k1_rmod_4(U_8503,U_8502,k1_pre_topc(U_8502)) = k1_rlvect_1(U_8502)
| ~ l1_vectsp_2(U_8502,U_8503)
| ~ v5_vectsp_2(U_8502,U_8503)
| ~ v6_rlvect_1(U_8502)
| ~ v5_rlvect_1(U_8502)
| ~ v4_rlvect_1(U_8502)
| ~ v3_rlvect_1(U_8502)
| v3_struct_0(U_8502)
| ~ l3_vectsp_1(U_8503)
| ~ v8_vectsp_1(U_8503)
| ~ v7_vectsp_1(U_8503)
| ~ v6_vectsp_1(U_8503)
| ~ v4_group_1(U_8503)
| ~ v6_rlvect_1(U_8503)
| ~ v5_rlvect_1(U_8503)
| ~ v4_rlvect_1(U_8503)
| ~ v3_rlvect_1(U_8503)
| v3_struct_0(U_8503) ),
inference(definitional_conversion,[status(esa)],[f_3337_2]) ).
cnf(f_3337_4,plain,
( k1_rmod_4(U_8503,U_8502,k1_pre_topc(U_8502)) = k1_rlvect_1(U_8502)
| ~ l1_vectsp_2(U_8502,U_8503)
| ~ v5_vectsp_2(U_8502,U_8503)
| ~ v6_rlvect_1(U_8502)
| ~ v5_rlvect_1(U_8502)
| ~ v4_rlvect_1(U_8502)
| ~ v3_rlvect_1(U_8502)
| v3_struct_0(U_8502)
| ~ l3_vectsp_1(U_8503)
| ~ v8_vectsp_1(U_8503)
| ~ v7_vectsp_1(U_8503)
| ~ v6_vectsp_1(U_8503)
| ~ v4_group_1(U_8503)
| ~ v6_rlvect_1(U_8503)
| ~ v5_rlvect_1(U_8503)
| ~ v4_rlvect_1(U_8503)
| ~ v3_rlvect_1(U_8503)
| v3_struct_0(U_8503) ),
inference(clausify,[status(thm)],[f_3337_3]) ).
fof(f_3338_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k1_rmod_4(A,B,k7_rlvect_2(B,C)) = C
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_rmod_4]) ).
fof(f_3338_2,plain,
! [U_8506] :
( ! [U_8505] :
( ! [U_8504] :
( k1_rmod_4(U_8506,U_8505,k7_rlvect_2(U_8505,U_8504)) = U_8504
| ~ m1_subset_1(U_8504,u1_struct_0(U_8505)) )
| ~ l1_vectsp_2(U_8505,U_8506)
| ~ v5_vectsp_2(U_8505,U_8506)
| ~ v6_rlvect_1(U_8505)
| ~ v5_rlvect_1(U_8505)
| ~ v4_rlvect_1(U_8505)
| ~ v3_rlvect_1(U_8505)
| v3_struct_0(U_8505) )
| ~ l3_vectsp_1(U_8506)
| ~ v8_vectsp_1(U_8506)
| ~ v7_vectsp_1(U_8506)
| ~ v6_vectsp_1(U_8506)
| ~ v4_group_1(U_8506)
| ~ v6_rlvect_1(U_8506)
| ~ v5_rlvect_1(U_8506)
| ~ v4_rlvect_1(U_8506)
| ~ v3_rlvect_1(U_8506)
| v3_struct_0(U_8506) ),
inference(variable_rename,[status(thm)],[f_3338_1]) ).
fof(f_3338_3,plain,
! [U_8506,U_8504,U_8505] :
( k1_rmod_4(U_8506,U_8505,k7_rlvect_2(U_8505,U_8504)) = U_8504
| ~ m1_subset_1(U_8504,u1_struct_0(U_8505))
| ~ l1_vectsp_2(U_8505,U_8506)
| ~ v5_vectsp_2(U_8505,U_8506)
| ~ v6_rlvect_1(U_8505)
| ~ v5_rlvect_1(U_8505)
| ~ v4_rlvect_1(U_8505)
| ~ v3_rlvect_1(U_8505)
| v3_struct_0(U_8505)
| ~ l3_vectsp_1(U_8506)
| ~ v8_vectsp_1(U_8506)
| ~ v7_vectsp_1(U_8506)
| ~ v6_vectsp_1(U_8506)
| ~ v4_group_1(U_8506)
| ~ v6_rlvect_1(U_8506)
| ~ v5_rlvect_1(U_8506)
| ~ v4_rlvect_1(U_8506)
| ~ v3_rlvect_1(U_8506)
| v3_struct_0(U_8506) ),
inference(definitional_conversion,[status(esa)],[f_3338_2]) ).
cnf(f_3338_4,plain,
( k1_rmod_4(U_8506,U_8505,k7_rlvect_2(U_8505,U_8504)) = U_8504
| ~ m1_subset_1(U_8504,u1_struct_0(U_8505))
| ~ l1_vectsp_2(U_8505,U_8506)
| ~ v5_vectsp_2(U_8505,U_8506)
| ~ v6_rlvect_1(U_8505)
| ~ v5_rlvect_1(U_8505)
| ~ v4_rlvect_1(U_8505)
| ~ v3_rlvect_1(U_8505)
| v3_struct_0(U_8505)
| ~ l3_vectsp_1(U_8506)
| ~ v8_vectsp_1(U_8506)
| ~ v7_vectsp_1(U_8506)
| ~ v6_vectsp_1(U_8506)
| ~ v4_group_1(U_8506)
| ~ v6_rlvect_1(U_8506)
| ~ v5_rlvect_1(U_8506)
| ~ v4_rlvect_1(U_8506)
| ~ v3_rlvect_1(U_8506)
| v3_struct_0(U_8506) ),
inference(clausify,[status(thm)],[f_3338_3]) ).
fof(f_3339_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k8_rlvect_2(B,C,D)) = k4_rlvect_1(B,C,D)
| C = D
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t7_rmod_4]) ).
fof(f_3339_2,plain,
! [U_8510] :
( ! [U_8509] :
( ! [U_8508] :
( ! [U_8507] :
( k1_rmod_4(U_8510,U_8509,k8_rlvect_2(U_8509,U_8508,U_8507)) = k4_rlvect_1(U_8509,U_8508,U_8507)
| U_8508 = U_8507
| ~ m1_subset_1(U_8507,u1_struct_0(U_8509)) )
| ~ m1_subset_1(U_8508,u1_struct_0(U_8509)) )
| ~ l1_vectsp_2(U_8509,U_8510)
| ~ v5_vectsp_2(U_8509,U_8510)
| ~ v6_rlvect_1(U_8509)
| ~ v5_rlvect_1(U_8509)
| ~ v4_rlvect_1(U_8509)
| ~ v3_rlvect_1(U_8509)
| v3_struct_0(U_8509) )
| ~ l3_vectsp_1(U_8510)
| ~ v8_vectsp_1(U_8510)
| ~ v7_vectsp_1(U_8510)
| ~ v6_vectsp_1(U_8510)
| ~ v4_group_1(U_8510)
| ~ v6_rlvect_1(U_8510)
| ~ v5_rlvect_1(U_8510)
| ~ v4_rlvect_1(U_8510)
| ~ v3_rlvect_1(U_8510)
| v3_struct_0(U_8510) ),
inference(variable_rename,[status(thm)],[f_3339_1]) ).
fof(f_3339_3,plain,
! [U_8507,U_8509,U_8508,U_8510] :
( k1_rmod_4(U_8510,U_8509,k8_rlvect_2(U_8509,U_8508,U_8507)) = k4_rlvect_1(U_8509,U_8508,U_8507)
| U_8508 = U_8507
| ~ m1_subset_1(U_8507,u1_struct_0(U_8509))
| ~ m1_subset_1(U_8508,u1_struct_0(U_8509))
| ~ l1_vectsp_2(U_8509,U_8510)
| ~ v5_vectsp_2(U_8509,U_8510)
| ~ v6_rlvect_1(U_8509)
| ~ v5_rlvect_1(U_8509)
| ~ v4_rlvect_1(U_8509)
| ~ v3_rlvect_1(U_8509)
| v3_struct_0(U_8509)
| ~ l3_vectsp_1(U_8510)
| ~ v8_vectsp_1(U_8510)
| ~ v7_vectsp_1(U_8510)
| ~ v6_vectsp_1(U_8510)
| ~ v4_group_1(U_8510)
| ~ v6_rlvect_1(U_8510)
| ~ v5_rlvect_1(U_8510)
| ~ v4_rlvect_1(U_8510)
| ~ v3_rlvect_1(U_8510)
| v3_struct_0(U_8510) ),
inference(definitional_conversion,[status(esa)],[f_3339_2]) ).
cnf(f_3339_4,plain,
( k1_rmod_4(U_8510,U_8509,k8_rlvect_2(U_8509,U_8508,U_8507)) = k4_rlvect_1(U_8509,U_8508,U_8507)
| U_8508 = U_8507
| ~ m1_subset_1(U_8507,u1_struct_0(U_8509))
| ~ m1_subset_1(U_8508,u1_struct_0(U_8509))
| ~ l1_vectsp_2(U_8509,U_8510)
| ~ v5_vectsp_2(U_8509,U_8510)
| ~ v6_rlvect_1(U_8509)
| ~ v5_rlvect_1(U_8509)
| ~ v4_rlvect_1(U_8509)
| ~ v3_rlvect_1(U_8509)
| v3_struct_0(U_8509)
| ~ l3_vectsp_1(U_8510)
| ~ v8_vectsp_1(U_8510)
| ~ v7_vectsp_1(U_8510)
| ~ v6_vectsp_1(U_8510)
| ~ v4_group_1(U_8510)
| ~ v6_rlvect_1(U_8510)
| ~ v5_rlvect_1(U_8510)
| ~ v4_rlvect_1(U_8510)
| ~ v3_rlvect_1(U_8510)
| v3_struct_0(U_8510) ),
inference(clausify,[status(thm)],[f_3339_3]) ).
fof(f_3340_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k1_rmod_4(A,B,k9_rlvect_2(B,C,D,E)) = k4_rlvect_1(B,k4_rlvect_1(B,C,D),E)
| C = E
| D = E
| C = D
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t8_rmod_4]) ).
fof(f_3340_2,plain,
! [U_8515] :
( ! [U_8514] :
( ! [U_8513] :
( ! [U_8512] :
( ! [U_8511] :
( k1_rmod_4(U_8515,U_8514,k9_rlvect_2(U_8514,U_8513,U_8512,U_8511)) = k4_rlvect_1(U_8514,k4_rlvect_1(U_8514,U_8513,U_8512),U_8511)
| U_8513 = U_8511
| U_8512 = U_8511
| U_8513 = U_8512
| ~ m1_subset_1(U_8511,u1_struct_0(U_8514)) )
| ~ m1_subset_1(U_8512,u1_struct_0(U_8514)) )
| ~ m1_subset_1(U_8513,u1_struct_0(U_8514)) )
| ~ l1_vectsp_2(U_8514,U_8515)
| ~ v5_vectsp_2(U_8514,U_8515)
| ~ v6_rlvect_1(U_8514)
| ~ v5_rlvect_1(U_8514)
| ~ v4_rlvect_1(U_8514)
| ~ v3_rlvect_1(U_8514)
| v3_struct_0(U_8514) )
| ~ l3_vectsp_1(U_8515)
| ~ v8_vectsp_1(U_8515)
| ~ v7_vectsp_1(U_8515)
| ~ v6_vectsp_1(U_8515)
| ~ v4_group_1(U_8515)
| ~ v6_rlvect_1(U_8515)
| ~ v5_rlvect_1(U_8515)
| ~ v4_rlvect_1(U_8515)
| ~ v3_rlvect_1(U_8515)
| v3_struct_0(U_8515) ),
inference(variable_rename,[status(thm)],[f_3340_1]) ).
fof(f_3340_3,plain,
! [U_8514,U_8513,U_8512,U_8511,U_8515] :
( k1_rmod_4(U_8515,U_8514,k9_rlvect_2(U_8514,U_8513,U_8512,U_8511)) = k4_rlvect_1(U_8514,k4_rlvect_1(U_8514,U_8513,U_8512),U_8511)
| U_8513 = U_8511
| U_8512 = U_8511
| U_8513 = U_8512
| ~ m1_subset_1(U_8511,u1_struct_0(U_8514))
| ~ m1_subset_1(U_8512,u1_struct_0(U_8514))
| ~ m1_subset_1(U_8513,u1_struct_0(U_8514))
| ~ l1_vectsp_2(U_8514,U_8515)
| ~ v5_vectsp_2(U_8514,U_8515)
| ~ v6_rlvect_1(U_8514)
| ~ v5_rlvect_1(U_8514)
| ~ v4_rlvect_1(U_8514)
| ~ v3_rlvect_1(U_8514)
| v3_struct_0(U_8514)
| ~ l3_vectsp_1(U_8515)
| ~ v8_vectsp_1(U_8515)
| ~ v7_vectsp_1(U_8515)
| ~ v6_vectsp_1(U_8515)
| ~ v4_group_1(U_8515)
| ~ v6_rlvect_1(U_8515)
| ~ v5_rlvect_1(U_8515)
| ~ v4_rlvect_1(U_8515)
| ~ v3_rlvect_1(U_8515)
| v3_struct_0(U_8515) ),
inference(definitional_conversion,[status(esa)],[f_3340_2]) ).
cnf(f_3340_4,plain,
( k1_rmod_4(U_8515,U_8514,k9_rlvect_2(U_8514,U_8513,U_8512,U_8511)) = k4_rlvect_1(U_8514,k4_rlvect_1(U_8514,U_8513,U_8512),U_8511)
| U_8513 = U_8511
| U_8512 = U_8511
| U_8513 = U_8512
| ~ m1_subset_1(U_8511,u1_struct_0(U_8514))
| ~ m1_subset_1(U_8512,u1_struct_0(U_8514))
| ~ m1_subset_1(U_8513,u1_struct_0(U_8514))
| ~ l1_vectsp_2(U_8514,U_8515)
| ~ v5_vectsp_2(U_8514,U_8515)
| ~ v6_rlvect_1(U_8514)
| ~ v5_rlvect_1(U_8514)
| ~ v4_rlvect_1(U_8514)
| ~ v3_rlvect_1(U_8514)
| v3_struct_0(U_8514)
| ~ l3_vectsp_1(U_8515)
| ~ v8_vectsp_1(U_8515)
| ~ v7_vectsp_1(U_8515)
| ~ v6_vectsp_1(U_8515)
| ~ v4_group_1(U_8515)
| ~ v6_rlvect_1(U_8515)
| ~ v5_rlvect_1(U_8515)
| ~ v4_rlvect_1(U_8515)
| ~ v3_rlvect_1(U_8515)
| v3_struct_0(U_8515) ),
inference(clausify,[status(thm)],[f_3340_3]) ).
fof(f_3341_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k2_rlvect_2(B,C,D)) = k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D))
| ~ r1_xboole_0(C,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t9_rmod_4]) ).
fof(f_3341_2,plain,
! [U_8519] :
( ! [U_8518] :
( ! [U_8517] :
( ! [U_8516] :
( k1_rmod_4(U_8519,U_8518,k2_rlvect_2(U_8518,U_8517,U_8516)) = k4_rlvect_1(U_8518,k1_rmod_4(U_8519,U_8518,U_8517),k1_rmod_4(U_8519,U_8518,U_8516))
| ~ r1_xboole_0(U_8517,U_8516)
| ~ m1_subset_1(U_8516,k1_zfmisc_1(u1_struct_0(U_8518)))
| ~ v1_finset_1(U_8516) )
| ~ m1_subset_1(U_8517,k1_zfmisc_1(u1_struct_0(U_8518)))
| ~ v1_finset_1(U_8517) )
| ~ l1_vectsp_2(U_8518,U_8519)
| ~ v5_vectsp_2(U_8518,U_8519)
| ~ v6_rlvect_1(U_8518)
| ~ v5_rlvect_1(U_8518)
| ~ v4_rlvect_1(U_8518)
| ~ v3_rlvect_1(U_8518)
| v3_struct_0(U_8518) )
| ~ l3_vectsp_1(U_8519)
| ~ v8_vectsp_1(U_8519)
| ~ v7_vectsp_1(U_8519)
| ~ v6_vectsp_1(U_8519)
| ~ v4_group_1(U_8519)
| ~ v6_rlvect_1(U_8519)
| ~ v5_rlvect_1(U_8519)
| ~ v4_rlvect_1(U_8519)
| ~ v3_rlvect_1(U_8519)
| v3_struct_0(U_8519) ),
inference(variable_rename,[status(thm)],[f_3341_1]) ).
fof(f_3341_3,plain,
! [U_8517,U_8516,U_8518,U_8519] :
( k1_rmod_4(U_8519,U_8518,k2_rlvect_2(U_8518,U_8517,U_8516)) = k4_rlvect_1(U_8518,k1_rmod_4(U_8519,U_8518,U_8517),k1_rmod_4(U_8519,U_8518,U_8516))
| ~ r1_xboole_0(U_8517,U_8516)
| ~ m1_subset_1(U_8516,k1_zfmisc_1(u1_struct_0(U_8518)))
| ~ v1_finset_1(U_8516)
| ~ m1_subset_1(U_8517,k1_zfmisc_1(u1_struct_0(U_8518)))
| ~ v1_finset_1(U_8517)
| ~ l1_vectsp_2(U_8518,U_8519)
| ~ v5_vectsp_2(U_8518,U_8519)
| ~ v6_rlvect_1(U_8518)
| ~ v5_rlvect_1(U_8518)
| ~ v4_rlvect_1(U_8518)
| ~ v3_rlvect_1(U_8518)
| v3_struct_0(U_8518)
| ~ l3_vectsp_1(U_8519)
| ~ v8_vectsp_1(U_8519)
| ~ v7_vectsp_1(U_8519)
| ~ v6_vectsp_1(U_8519)
| ~ v4_group_1(U_8519)
| ~ v6_rlvect_1(U_8519)
| ~ v5_rlvect_1(U_8519)
| ~ v4_rlvect_1(U_8519)
| ~ v3_rlvect_1(U_8519)
| v3_struct_0(U_8519) ),
inference(definitional_conversion,[status(esa)],[f_3341_2]) ).
cnf(f_3341_4,plain,
( k1_rmod_4(U_8519,U_8518,k2_rlvect_2(U_8518,U_8517,U_8516)) = k4_rlvect_1(U_8518,k1_rmod_4(U_8519,U_8518,U_8517),k1_rmod_4(U_8519,U_8518,U_8516))
| ~ r1_xboole_0(U_8517,U_8516)
| ~ m1_subset_1(U_8516,k1_zfmisc_1(u1_struct_0(U_8518)))
| ~ v1_finset_1(U_8516)
| ~ m1_subset_1(U_8517,k1_zfmisc_1(u1_struct_0(U_8518)))
| ~ v1_finset_1(U_8517)
| ~ l1_vectsp_2(U_8518,U_8519)
| ~ v5_vectsp_2(U_8518,U_8519)
| ~ v6_rlvect_1(U_8518)
| ~ v5_rlvect_1(U_8518)
| ~ v4_rlvect_1(U_8518)
| ~ v3_rlvect_1(U_8518)
| v3_struct_0(U_8518)
| ~ l3_vectsp_1(U_8519)
| ~ v8_vectsp_1(U_8519)
| ~ v7_vectsp_1(U_8519)
| ~ v6_vectsp_1(U_8519)
| ~ v4_group_1(U_8519)
| ~ v6_rlvect_1(U_8519)
| ~ v5_rlvect_1(U_8519)
| ~ v4_rlvect_1(U_8519)
| ~ v3_rlvect_1(U_8519)
| v3_struct_0(U_8519) ),
inference(clausify,[status(thm)],[f_3341_3]) ).
fof(f_3342_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k2_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D)))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t10_rmod_4]) ).
fof(f_3342_2,plain,
! [U_8523] :
( ! [U_8522] :
( ! [U_8521] :
( ! [U_8520] :
( k1_rmod_4(U_8523,U_8522,k2_rlvect_2(U_8522,U_8521,U_8520)) = k6_rlvect_1(U_8522,k4_rlvect_1(U_8522,k1_rmod_4(U_8523,U_8522,U_8521),k1_rmod_4(U_8523,U_8522,U_8520)),k1_rmod_4(U_8523,U_8522,k3_rlvect_2(U_8522,U_8521,U_8520)))
| ~ m1_subset_1(U_8520,k1_zfmisc_1(u1_struct_0(U_8522)))
| ~ v1_finset_1(U_8520) )
| ~ m1_subset_1(U_8521,k1_zfmisc_1(u1_struct_0(U_8522)))
| ~ v1_finset_1(U_8521) )
| ~ l1_vectsp_2(U_8522,U_8523)
| ~ v5_vectsp_2(U_8522,U_8523)
| ~ v6_rlvect_1(U_8522)
| ~ v5_rlvect_1(U_8522)
| ~ v4_rlvect_1(U_8522)
| ~ v3_rlvect_1(U_8522)
| v3_struct_0(U_8522) )
| ~ l3_vectsp_1(U_8523)
| ~ v8_vectsp_1(U_8523)
| ~ v7_vectsp_1(U_8523)
| ~ v6_vectsp_1(U_8523)
| ~ v4_group_1(U_8523)
| ~ v6_rlvect_1(U_8523)
| ~ v5_rlvect_1(U_8523)
| ~ v4_rlvect_1(U_8523)
| ~ v3_rlvect_1(U_8523)
| v3_struct_0(U_8523) ),
inference(variable_rename,[status(thm)],[f_3342_1]) ).
fof(f_3342_3,plain,
! [U_8521,U_8523,U_8522,U_8520] :
( k1_rmod_4(U_8523,U_8522,k2_rlvect_2(U_8522,U_8521,U_8520)) = k6_rlvect_1(U_8522,k4_rlvect_1(U_8522,k1_rmod_4(U_8523,U_8522,U_8521),k1_rmod_4(U_8523,U_8522,U_8520)),k1_rmod_4(U_8523,U_8522,k3_rlvect_2(U_8522,U_8521,U_8520)))
| ~ m1_subset_1(U_8520,k1_zfmisc_1(u1_struct_0(U_8522)))
| ~ v1_finset_1(U_8520)
| ~ m1_subset_1(U_8521,k1_zfmisc_1(u1_struct_0(U_8522)))
| ~ v1_finset_1(U_8521)
| ~ l1_vectsp_2(U_8522,U_8523)
| ~ v5_vectsp_2(U_8522,U_8523)
| ~ v6_rlvect_1(U_8522)
| ~ v5_rlvect_1(U_8522)
| ~ v4_rlvect_1(U_8522)
| ~ v3_rlvect_1(U_8522)
| v3_struct_0(U_8522)
| ~ l3_vectsp_1(U_8523)
| ~ v8_vectsp_1(U_8523)
| ~ v7_vectsp_1(U_8523)
| ~ v6_vectsp_1(U_8523)
| ~ v4_group_1(U_8523)
| ~ v6_rlvect_1(U_8523)
| ~ v5_rlvect_1(U_8523)
| ~ v4_rlvect_1(U_8523)
| ~ v3_rlvect_1(U_8523)
| v3_struct_0(U_8523) ),
inference(definitional_conversion,[status(esa)],[f_3342_2]) ).
cnf(f_3342_4,plain,
( k1_rmod_4(U_8523,U_8522,k2_rlvect_2(U_8522,U_8521,U_8520)) = k6_rlvect_1(U_8522,k4_rlvect_1(U_8522,k1_rmod_4(U_8523,U_8522,U_8521),k1_rmod_4(U_8523,U_8522,U_8520)),k1_rmod_4(U_8523,U_8522,k3_rlvect_2(U_8522,U_8521,U_8520)))
| ~ m1_subset_1(U_8520,k1_zfmisc_1(u1_struct_0(U_8522)))
| ~ v1_finset_1(U_8520)
| ~ m1_subset_1(U_8521,k1_zfmisc_1(u1_struct_0(U_8522)))
| ~ v1_finset_1(U_8521)
| ~ l1_vectsp_2(U_8522,U_8523)
| ~ v5_vectsp_2(U_8522,U_8523)
| ~ v6_rlvect_1(U_8522)
| ~ v5_rlvect_1(U_8522)
| ~ v4_rlvect_1(U_8522)
| ~ v3_rlvect_1(U_8522)
| v3_struct_0(U_8522)
| ~ l3_vectsp_1(U_8523)
| ~ v8_vectsp_1(U_8523)
| ~ v7_vectsp_1(U_8523)
| ~ v6_vectsp_1(U_8523)
| ~ v4_group_1(U_8523)
| ~ v6_rlvect_1(U_8523)
| ~ v5_rlvect_1(U_8523)
| ~ v4_rlvect_1(U_8523)
| ~ v3_rlvect_1(U_8523)
| v3_struct_0(U_8523) ),
inference(clausify,[status(thm)],[f_3342_3]) ).
fof(f_3343_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k3_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k2_rlvect_2(B,C,D)))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t11_rmod_4]) ).
fof(f_3343_2,plain,
! [U_8527] :
( ! [U_8526] :
( ! [U_8525] :
( ! [U_8524] :
( k1_rmod_4(U_8527,U_8526,k3_rlvect_2(U_8526,U_8525,U_8524)) = k6_rlvect_1(U_8526,k4_rlvect_1(U_8526,k1_rmod_4(U_8527,U_8526,U_8525),k1_rmod_4(U_8527,U_8526,U_8524)),k1_rmod_4(U_8527,U_8526,k2_rlvect_2(U_8526,U_8525,U_8524)))
| ~ m1_subset_1(U_8524,k1_zfmisc_1(u1_struct_0(U_8526)))
| ~ v1_finset_1(U_8524) )
| ~ m1_subset_1(U_8525,k1_zfmisc_1(u1_struct_0(U_8526)))
| ~ v1_finset_1(U_8525) )
| ~ l1_vectsp_2(U_8526,U_8527)
| ~ v5_vectsp_2(U_8526,U_8527)
| ~ v6_rlvect_1(U_8526)
| ~ v5_rlvect_1(U_8526)
| ~ v4_rlvect_1(U_8526)
| ~ v3_rlvect_1(U_8526)
| v3_struct_0(U_8526) )
| ~ l3_vectsp_1(U_8527)
| ~ v8_vectsp_1(U_8527)
| ~ v7_vectsp_1(U_8527)
| ~ v6_vectsp_1(U_8527)
| ~ v4_group_1(U_8527)
| ~ v6_rlvect_1(U_8527)
| ~ v5_rlvect_1(U_8527)
| ~ v4_rlvect_1(U_8527)
| ~ v3_rlvect_1(U_8527)
| v3_struct_0(U_8527) ),
inference(variable_rename,[status(thm)],[f_3343_1]) ).
fof(f_3343_3,plain,
! [U_8526,U_8524,U_8525,U_8527] :
( k1_rmod_4(U_8527,U_8526,k3_rlvect_2(U_8526,U_8525,U_8524)) = k6_rlvect_1(U_8526,k4_rlvect_1(U_8526,k1_rmod_4(U_8527,U_8526,U_8525),k1_rmod_4(U_8527,U_8526,U_8524)),k1_rmod_4(U_8527,U_8526,k2_rlvect_2(U_8526,U_8525,U_8524)))
| ~ m1_subset_1(U_8524,k1_zfmisc_1(u1_struct_0(U_8526)))
| ~ v1_finset_1(U_8524)
| ~ m1_subset_1(U_8525,k1_zfmisc_1(u1_struct_0(U_8526)))
| ~ v1_finset_1(U_8525)
| ~ l1_vectsp_2(U_8526,U_8527)
| ~ v5_vectsp_2(U_8526,U_8527)
| ~ v6_rlvect_1(U_8526)
| ~ v5_rlvect_1(U_8526)
| ~ v4_rlvect_1(U_8526)
| ~ v3_rlvect_1(U_8526)
| v3_struct_0(U_8526)
| ~ l3_vectsp_1(U_8527)
| ~ v8_vectsp_1(U_8527)
| ~ v7_vectsp_1(U_8527)
| ~ v6_vectsp_1(U_8527)
| ~ v4_group_1(U_8527)
| ~ v6_rlvect_1(U_8527)
| ~ v5_rlvect_1(U_8527)
| ~ v4_rlvect_1(U_8527)
| ~ v3_rlvect_1(U_8527)
| v3_struct_0(U_8527) ),
inference(definitional_conversion,[status(esa)],[f_3343_2]) ).
cnf(f_3343_4,plain,
( k1_rmod_4(U_8527,U_8526,k3_rlvect_2(U_8526,U_8525,U_8524)) = k6_rlvect_1(U_8526,k4_rlvect_1(U_8526,k1_rmod_4(U_8527,U_8526,U_8525),k1_rmod_4(U_8527,U_8526,U_8524)),k1_rmod_4(U_8527,U_8526,k2_rlvect_2(U_8526,U_8525,U_8524)))
| ~ m1_subset_1(U_8524,k1_zfmisc_1(u1_struct_0(U_8526)))
| ~ v1_finset_1(U_8524)
| ~ m1_subset_1(U_8525,k1_zfmisc_1(u1_struct_0(U_8526)))
| ~ v1_finset_1(U_8525)
| ~ l1_vectsp_2(U_8526,U_8527)
| ~ v5_vectsp_2(U_8526,U_8527)
| ~ v6_rlvect_1(U_8526)
| ~ v5_rlvect_1(U_8526)
| ~ v4_rlvect_1(U_8526)
| ~ v3_rlvect_1(U_8526)
| v3_struct_0(U_8526)
| ~ l3_vectsp_1(U_8527)
| ~ v8_vectsp_1(U_8527)
| ~ v7_vectsp_1(U_8527)
| ~ v6_vectsp_1(U_8527)
| ~ v4_group_1(U_8527)
| ~ v6_rlvect_1(U_8527)
| ~ v5_rlvect_1(U_8527)
| ~ v4_rlvect_1(U_8527)
| ~ v3_rlvect_1(U_8527)
| v3_struct_0(U_8527) ),
inference(clausify,[status(thm)],[f_3343_3]) ).
fof(f_3344_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k4_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,D))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t12_rmod_4]) ).
fof(f_3344_2,plain,
! [U_8531] :
( ! [U_8530] :
( ! [U_8529] :
( ! [U_8528] :
( k1_rmod_4(U_8531,U_8530,k4_rlvect_2(U_8530,U_8529,U_8528)) = k6_rlvect_1(U_8530,k1_rmod_4(U_8531,U_8530,k2_rlvect_2(U_8530,U_8529,U_8528)),k1_rmod_4(U_8531,U_8530,U_8528))
| ~ m1_subset_1(U_8528,k1_zfmisc_1(u1_struct_0(U_8530)))
| ~ v1_finset_1(U_8528) )
| ~ m1_subset_1(U_8529,k1_zfmisc_1(u1_struct_0(U_8530)))
| ~ v1_finset_1(U_8529) )
| ~ l1_vectsp_2(U_8530,U_8531)
| ~ v5_vectsp_2(U_8530,U_8531)
| ~ v6_rlvect_1(U_8530)
| ~ v5_rlvect_1(U_8530)
| ~ v4_rlvect_1(U_8530)
| ~ v3_rlvect_1(U_8530)
| v3_struct_0(U_8530) )
| ~ l3_vectsp_1(U_8531)
| ~ v8_vectsp_1(U_8531)
| ~ v7_vectsp_1(U_8531)
| ~ v6_vectsp_1(U_8531)
| ~ v4_group_1(U_8531)
| ~ v6_rlvect_1(U_8531)
| ~ v5_rlvect_1(U_8531)
| ~ v4_rlvect_1(U_8531)
| ~ v3_rlvect_1(U_8531)
| v3_struct_0(U_8531) ),
inference(variable_rename,[status(thm)],[f_3344_1]) ).
fof(f_3344_3,plain,
! [U_8528,U_8529,U_8531,U_8530] :
( k1_rmod_4(U_8531,U_8530,k4_rlvect_2(U_8530,U_8529,U_8528)) = k6_rlvect_1(U_8530,k1_rmod_4(U_8531,U_8530,k2_rlvect_2(U_8530,U_8529,U_8528)),k1_rmod_4(U_8531,U_8530,U_8528))
| ~ m1_subset_1(U_8528,k1_zfmisc_1(u1_struct_0(U_8530)))
| ~ v1_finset_1(U_8528)
| ~ m1_subset_1(U_8529,k1_zfmisc_1(u1_struct_0(U_8530)))
| ~ v1_finset_1(U_8529)
| ~ l1_vectsp_2(U_8530,U_8531)
| ~ v5_vectsp_2(U_8530,U_8531)
| ~ v6_rlvect_1(U_8530)
| ~ v5_rlvect_1(U_8530)
| ~ v4_rlvect_1(U_8530)
| ~ v3_rlvect_1(U_8530)
| v3_struct_0(U_8530)
| ~ l3_vectsp_1(U_8531)
| ~ v8_vectsp_1(U_8531)
| ~ v7_vectsp_1(U_8531)
| ~ v6_vectsp_1(U_8531)
| ~ v4_group_1(U_8531)
| ~ v6_rlvect_1(U_8531)
| ~ v5_rlvect_1(U_8531)
| ~ v4_rlvect_1(U_8531)
| ~ v3_rlvect_1(U_8531)
| v3_struct_0(U_8531) ),
inference(definitional_conversion,[status(esa)],[f_3344_2]) ).
cnf(f_3344_4,plain,
( k1_rmod_4(U_8531,U_8530,k4_rlvect_2(U_8530,U_8529,U_8528)) = k6_rlvect_1(U_8530,k1_rmod_4(U_8531,U_8530,k2_rlvect_2(U_8530,U_8529,U_8528)),k1_rmod_4(U_8531,U_8530,U_8528))
| ~ m1_subset_1(U_8528,k1_zfmisc_1(u1_struct_0(U_8530)))
| ~ v1_finset_1(U_8528)
| ~ m1_subset_1(U_8529,k1_zfmisc_1(u1_struct_0(U_8530)))
| ~ v1_finset_1(U_8529)
| ~ l1_vectsp_2(U_8530,U_8531)
| ~ v5_vectsp_2(U_8530,U_8531)
| ~ v6_rlvect_1(U_8530)
| ~ v5_rlvect_1(U_8530)
| ~ v4_rlvect_1(U_8530)
| ~ v3_rlvect_1(U_8530)
| v3_struct_0(U_8530)
| ~ l3_vectsp_1(U_8531)
| ~ v8_vectsp_1(U_8531)
| ~ v7_vectsp_1(U_8531)
| ~ v6_vectsp_1(U_8531)
| ~ v4_group_1(U_8531)
| ~ v6_rlvect_1(U_8531)
| ~ v5_rlvect_1(U_8531)
| ~ v4_rlvect_1(U_8531)
| ~ v3_rlvect_1(U_8531)
| v3_struct_0(U_8531) ),
inference(clausify,[status(thm)],[f_3344_3]) ).
fof(f_3345_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k4_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,k3_rlvect_2(B,C,D)))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t13_rmod_4]) ).
fof(f_3345_2,plain,
! [U_8535] :
( ! [U_8534] :
( ! [U_8533] :
( ! [U_8532] :
( k1_rmod_4(U_8535,U_8534,k4_rlvect_2(U_8534,U_8533,U_8532)) = k6_rlvect_1(U_8534,k1_rmod_4(U_8535,U_8534,U_8533),k1_rmod_4(U_8535,U_8534,k3_rlvect_2(U_8534,U_8533,U_8532)))
| ~ m1_subset_1(U_8532,k1_zfmisc_1(u1_struct_0(U_8534)))
| ~ v1_finset_1(U_8532) )
| ~ m1_subset_1(U_8533,k1_zfmisc_1(u1_struct_0(U_8534)))
| ~ v1_finset_1(U_8533) )
| ~ l1_vectsp_2(U_8534,U_8535)
| ~ v5_vectsp_2(U_8534,U_8535)
| ~ v6_rlvect_1(U_8534)
| ~ v5_rlvect_1(U_8534)
| ~ v4_rlvect_1(U_8534)
| ~ v3_rlvect_1(U_8534)
| v3_struct_0(U_8534) )
| ~ l3_vectsp_1(U_8535)
| ~ v8_vectsp_1(U_8535)
| ~ v7_vectsp_1(U_8535)
| ~ v6_vectsp_1(U_8535)
| ~ v4_group_1(U_8535)
| ~ v6_rlvect_1(U_8535)
| ~ v5_rlvect_1(U_8535)
| ~ v4_rlvect_1(U_8535)
| ~ v3_rlvect_1(U_8535)
| v3_struct_0(U_8535) ),
inference(variable_rename,[status(thm)],[f_3345_1]) ).
fof(f_3345_3,plain,
! [U_8535,U_8533,U_8532,U_8534] :
( k1_rmod_4(U_8535,U_8534,k4_rlvect_2(U_8534,U_8533,U_8532)) = k6_rlvect_1(U_8534,k1_rmod_4(U_8535,U_8534,U_8533),k1_rmod_4(U_8535,U_8534,k3_rlvect_2(U_8534,U_8533,U_8532)))
| ~ m1_subset_1(U_8532,k1_zfmisc_1(u1_struct_0(U_8534)))
| ~ v1_finset_1(U_8532)
| ~ m1_subset_1(U_8533,k1_zfmisc_1(u1_struct_0(U_8534)))
| ~ v1_finset_1(U_8533)
| ~ l1_vectsp_2(U_8534,U_8535)
| ~ v5_vectsp_2(U_8534,U_8535)
| ~ v6_rlvect_1(U_8534)
| ~ v5_rlvect_1(U_8534)
| ~ v4_rlvect_1(U_8534)
| ~ v3_rlvect_1(U_8534)
| v3_struct_0(U_8534)
| ~ l3_vectsp_1(U_8535)
| ~ v8_vectsp_1(U_8535)
| ~ v7_vectsp_1(U_8535)
| ~ v6_vectsp_1(U_8535)
| ~ v4_group_1(U_8535)
| ~ v6_rlvect_1(U_8535)
| ~ v5_rlvect_1(U_8535)
| ~ v4_rlvect_1(U_8535)
| ~ v3_rlvect_1(U_8535)
| v3_struct_0(U_8535) ),
inference(definitional_conversion,[status(esa)],[f_3345_2]) ).
cnf(f_3345_4,plain,
( k1_rmod_4(U_8535,U_8534,k4_rlvect_2(U_8534,U_8533,U_8532)) = k6_rlvect_1(U_8534,k1_rmod_4(U_8535,U_8534,U_8533),k1_rmod_4(U_8535,U_8534,k3_rlvect_2(U_8534,U_8533,U_8532)))
| ~ m1_subset_1(U_8532,k1_zfmisc_1(u1_struct_0(U_8534)))
| ~ v1_finset_1(U_8532)
| ~ m1_subset_1(U_8533,k1_zfmisc_1(u1_struct_0(U_8534)))
| ~ v1_finset_1(U_8533)
| ~ l1_vectsp_2(U_8534,U_8535)
| ~ v5_vectsp_2(U_8534,U_8535)
| ~ v6_rlvect_1(U_8534)
| ~ v5_rlvect_1(U_8534)
| ~ v4_rlvect_1(U_8534)
| ~ v3_rlvect_1(U_8534)
| v3_struct_0(U_8534)
| ~ l3_vectsp_1(U_8535)
| ~ v8_vectsp_1(U_8535)
| ~ v7_vectsp_1(U_8535)
| ~ v6_vectsp_1(U_8535)
| ~ v4_group_1(U_8535)
| ~ v6_rlvect_1(U_8535)
| ~ v5_rlvect_1(U_8535)
| ~ v4_rlvect_1(U_8535)
| ~ v3_rlvect_1(U_8535)
| v3_struct_0(U_8535) ),
inference(clausify,[status(thm)],[f_3345_3]) ).
fof(f_3346_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D)))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t14_rmod_4]) ).
fof(f_3346_2,plain,
! [U_8539] :
( ! [U_8538] :
( ! [U_8537] :
( ! [U_8536] :
( k1_rmod_4(U_8539,U_8538,k5_rlvect_2(U_8538,U_8537,U_8536)) = k6_rlvect_1(U_8538,k1_rmod_4(U_8539,U_8538,k2_rlvect_2(U_8538,U_8537,U_8536)),k1_rmod_4(U_8539,U_8538,k3_rlvect_2(U_8538,U_8537,U_8536)))
| ~ m1_subset_1(U_8536,k1_zfmisc_1(u1_struct_0(U_8538)))
| ~ v1_finset_1(U_8536) )
| ~ m1_subset_1(U_8537,k1_zfmisc_1(u1_struct_0(U_8538)))
| ~ v1_finset_1(U_8537) )
| ~ l1_vectsp_2(U_8538,U_8539)
| ~ v5_vectsp_2(U_8538,U_8539)
| ~ v6_rlvect_1(U_8538)
| ~ v5_rlvect_1(U_8538)
| ~ v4_rlvect_1(U_8538)
| ~ v3_rlvect_1(U_8538)
| v3_struct_0(U_8538) )
| ~ l3_vectsp_1(U_8539)
| ~ v8_vectsp_1(U_8539)
| ~ v7_vectsp_1(U_8539)
| ~ v6_vectsp_1(U_8539)
| ~ v4_group_1(U_8539)
| ~ v6_rlvect_1(U_8539)
| ~ v5_rlvect_1(U_8539)
| ~ v4_rlvect_1(U_8539)
| ~ v3_rlvect_1(U_8539)
| v3_struct_0(U_8539) ),
inference(variable_rename,[status(thm)],[f_3346_1]) ).
fof(f_3346_3,plain,
! [U_8537,U_8536,U_8539,U_8538] :
( k1_rmod_4(U_8539,U_8538,k5_rlvect_2(U_8538,U_8537,U_8536)) = k6_rlvect_1(U_8538,k1_rmod_4(U_8539,U_8538,k2_rlvect_2(U_8538,U_8537,U_8536)),k1_rmod_4(U_8539,U_8538,k3_rlvect_2(U_8538,U_8537,U_8536)))
| ~ m1_subset_1(U_8536,k1_zfmisc_1(u1_struct_0(U_8538)))
| ~ v1_finset_1(U_8536)
| ~ m1_subset_1(U_8537,k1_zfmisc_1(u1_struct_0(U_8538)))
| ~ v1_finset_1(U_8537)
| ~ l1_vectsp_2(U_8538,U_8539)
| ~ v5_vectsp_2(U_8538,U_8539)
| ~ v6_rlvect_1(U_8538)
| ~ v5_rlvect_1(U_8538)
| ~ v4_rlvect_1(U_8538)
| ~ v3_rlvect_1(U_8538)
| v3_struct_0(U_8538)
| ~ l3_vectsp_1(U_8539)
| ~ v8_vectsp_1(U_8539)
| ~ v7_vectsp_1(U_8539)
| ~ v6_vectsp_1(U_8539)
| ~ v4_group_1(U_8539)
| ~ v6_rlvect_1(U_8539)
| ~ v5_rlvect_1(U_8539)
| ~ v4_rlvect_1(U_8539)
| ~ v3_rlvect_1(U_8539)
| v3_struct_0(U_8539) ),
inference(definitional_conversion,[status(esa)],[f_3346_2]) ).
cnf(f_3346_4,plain,
( k1_rmod_4(U_8539,U_8538,k5_rlvect_2(U_8538,U_8537,U_8536)) = k6_rlvect_1(U_8538,k1_rmod_4(U_8539,U_8538,k2_rlvect_2(U_8538,U_8537,U_8536)),k1_rmod_4(U_8539,U_8538,k3_rlvect_2(U_8538,U_8537,U_8536)))
| ~ m1_subset_1(U_8536,k1_zfmisc_1(u1_struct_0(U_8538)))
| ~ v1_finset_1(U_8536)
| ~ m1_subset_1(U_8537,k1_zfmisc_1(u1_struct_0(U_8538)))
| ~ v1_finset_1(U_8537)
| ~ l1_vectsp_2(U_8538,U_8539)
| ~ v5_vectsp_2(U_8538,U_8539)
| ~ v6_rlvect_1(U_8538)
| ~ v5_rlvect_1(U_8538)
| ~ v4_rlvect_1(U_8538)
| ~ v3_rlvect_1(U_8538)
| v3_struct_0(U_8538)
| ~ l3_vectsp_1(U_8539)
| ~ v8_vectsp_1(U_8539)
| ~ v7_vectsp_1(U_8539)
| ~ v6_vectsp_1(U_8539)
| ~ v4_group_1(U_8539)
| ~ v6_rlvect_1(U_8539)
| ~ v5_rlvect_1(U_8539)
| ~ v4_rlvect_1(U_8539)
| ~ v3_rlvect_1(U_8539)
| v3_struct_0(U_8539) ),
inference(clausify,[status(thm)],[f_3346_3]) ).
fof(f_3347_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k4_rlvect_1(B,k1_rmod_4(A,B,k4_rlvect_2(B,C,D)),k1_rmod_4(A,B,k4_rlvect_2(B,D,C)))
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t15_rmod_4]) ).
fof(f_3347_2,plain,
! [U_8543] :
( ! [U_8542] :
( ! [U_8541] :
( ! [U_8540] :
( k1_rmod_4(U_8543,U_8542,k5_rlvect_2(U_8542,U_8541,U_8540)) = k4_rlvect_1(U_8542,k1_rmod_4(U_8543,U_8542,k4_rlvect_2(U_8542,U_8541,U_8540)),k1_rmod_4(U_8543,U_8542,k4_rlvect_2(U_8542,U_8540,U_8541)))
| ~ m1_subset_1(U_8540,k1_zfmisc_1(u1_struct_0(U_8542)))
| ~ v1_finset_1(U_8540) )
| ~ m1_subset_1(U_8541,k1_zfmisc_1(u1_struct_0(U_8542)))
| ~ v1_finset_1(U_8541) )
| ~ l1_vectsp_2(U_8542,U_8543)
| ~ v5_vectsp_2(U_8542,U_8543)
| ~ v6_rlvect_1(U_8542)
| ~ v5_rlvect_1(U_8542)
| ~ v4_rlvect_1(U_8542)
| ~ v3_rlvect_1(U_8542)
| v3_struct_0(U_8542) )
| ~ l3_vectsp_1(U_8543)
| ~ v8_vectsp_1(U_8543)
| ~ v7_vectsp_1(U_8543)
| ~ v6_vectsp_1(U_8543)
| ~ v4_group_1(U_8543)
| ~ v6_rlvect_1(U_8543)
| ~ v5_rlvect_1(U_8543)
| ~ v4_rlvect_1(U_8543)
| ~ v3_rlvect_1(U_8543)
| v3_struct_0(U_8543) ),
inference(variable_rename,[status(thm)],[f_3347_1]) ).
fof(f_3347_3,plain,
! [U_8540,U_8542,U_8543,U_8541] :
( k1_rmod_4(U_8543,U_8542,k5_rlvect_2(U_8542,U_8541,U_8540)) = k4_rlvect_1(U_8542,k1_rmod_4(U_8543,U_8542,k4_rlvect_2(U_8542,U_8541,U_8540)),k1_rmod_4(U_8543,U_8542,k4_rlvect_2(U_8542,U_8540,U_8541)))
| ~ m1_subset_1(U_8540,k1_zfmisc_1(u1_struct_0(U_8542)))
| ~ v1_finset_1(U_8540)
| ~ m1_subset_1(U_8541,k1_zfmisc_1(u1_struct_0(U_8542)))
| ~ v1_finset_1(U_8541)
| ~ l1_vectsp_2(U_8542,U_8543)
| ~ v5_vectsp_2(U_8542,U_8543)
| ~ v6_rlvect_1(U_8542)
| ~ v5_rlvect_1(U_8542)
| ~ v4_rlvect_1(U_8542)
| ~ v3_rlvect_1(U_8542)
| v3_struct_0(U_8542)
| ~ l3_vectsp_1(U_8543)
| ~ v8_vectsp_1(U_8543)
| ~ v7_vectsp_1(U_8543)
| ~ v6_vectsp_1(U_8543)
| ~ v4_group_1(U_8543)
| ~ v6_rlvect_1(U_8543)
| ~ v5_rlvect_1(U_8543)
| ~ v4_rlvect_1(U_8543)
| ~ v3_rlvect_1(U_8543)
| v3_struct_0(U_8543) ),
inference(definitional_conversion,[status(esa)],[f_3347_2]) ).
cnf(f_3347_4,plain,
( k1_rmod_4(U_8543,U_8542,k5_rlvect_2(U_8542,U_8541,U_8540)) = k4_rlvect_1(U_8542,k1_rmod_4(U_8543,U_8542,k4_rlvect_2(U_8542,U_8541,U_8540)),k1_rmod_4(U_8543,U_8542,k4_rlvect_2(U_8542,U_8540,U_8541)))
| ~ m1_subset_1(U_8540,k1_zfmisc_1(u1_struct_0(U_8542)))
| ~ v1_finset_1(U_8540)
| ~ m1_subset_1(U_8541,k1_zfmisc_1(u1_struct_0(U_8542)))
| ~ v1_finset_1(U_8541)
| ~ l1_vectsp_2(U_8542,U_8543)
| ~ v5_vectsp_2(U_8542,U_8543)
| ~ v6_rlvect_1(U_8542)
| ~ v5_rlvect_1(U_8542)
| ~ v4_rlvect_1(U_8542)
| ~ v3_rlvect_1(U_8542)
| v3_struct_0(U_8542)
| ~ l3_vectsp_1(U_8543)
| ~ v8_vectsp_1(U_8543)
| ~ v7_vectsp_1(U_8543)
| ~ v6_vectsp_1(U_8543)
| ~ v4_group_1(U_8543)
| ~ v6_rlvect_1(U_8543)
| ~ v5_rlvect_1(U_8543)
| ~ v4_rlvect_1(U_8543)
| ~ v3_rlvect_1(U_8543)
| v3_struct_0(U_8543) ),
inference(clausify,[status(thm)],[f_3347_3]) ).
fof(f_3348_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( m1_rmod_4(C,A,B)
| ! [D] :
( ? [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) != k1_rlvect_1(A)
& ~ r2_hidden(E,D)
& m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(D) ) )
& ( ? [D] :
( ! [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k1_rlvect_1(A)
| r2_hidden(E,D)
| ~ m1_subset_1(E,u1_struct_0(B)) )
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(D) )
| ~ m1_rmod_4(C,A,B) ) )
| ~ m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_rmod_4]) ).
fof(f_3348_2,plain,
! [U_8550] :
( ! [U_8549] :
( ! [U_8548] :
( ( ( m1_rmod_4(U_8548,U_8550,U_8549)
| ! [U_8547] :
( ? [U_8546] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8546) != k1_rlvect_1(U_8550)
& ~ r2_hidden(U_8546,U_8547)
& m1_subset_1(U_8546,u1_struct_0(U_8549)) )
| ~ m1_subset_1(U_8547,k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ v1_finset_1(U_8547) ) )
& ( ? [U_8545] :
( ! [U_8544] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8544) = k1_rlvect_1(U_8550)
| r2_hidden(U_8544,U_8545)
| ~ m1_subset_1(U_8544,u1_struct_0(U_8549)) )
& m1_subset_1(U_8545,k1_zfmisc_1(u1_struct_0(U_8549)))
& v1_finset_1(U_8545) )
| ~ m1_rmod_4(U_8548,U_8550,U_8549) ) )
| ~ m2_fraenkel(U_8548,u1_struct_0(U_8549),u1_struct_0(U_8550),k1_fraenkel(u1_struct_0(U_8549),u1_struct_0(U_8550))) )
| ~ l1_vectsp_2(U_8549,U_8550)
| ~ v5_vectsp_2(U_8549,U_8550)
| ~ v6_rlvect_1(U_8549)
| ~ v5_rlvect_1(U_8549)
| ~ v4_rlvect_1(U_8549)
| ~ v3_rlvect_1(U_8549)
| v3_struct_0(U_8549) )
| ~ l3_vectsp_1(U_8550)
| ~ v8_vectsp_1(U_8550)
| ~ v7_vectsp_1(U_8550)
| ~ v6_vectsp_1(U_8550)
| ~ v4_group_1(U_8550)
| ~ v6_rlvect_1(U_8550)
| ~ v5_rlvect_1(U_8550)
| ~ v4_rlvect_1(U_8550)
| ~ v3_rlvect_1(U_8550)
| v3_struct_0(U_8550) ),
inference(variable_rename,[status(thm)],[f_3348_1]) ).
fof(f_3348_3,plain,
! [U_8550] :
( ! [U_8549] :
( ! [U_8548] :
( ( ( m1_rmod_4(U_8548,U_8550,U_8549)
| ! [U_8547] :
( ? [U_8546] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8546) != k1_rlvect_1(U_8550)
& ~ r2_hidden(U_8546,U_8547)
& m1_subset_1(U_8546,u1_struct_0(U_8549)) )
| ~ m1_subset_1(U_8547,k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ v1_finset_1(U_8547) ) )
& ( ( ! [U_8544] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8544) = k1_rlvect_1(U_8550)
| r2_hidden(U_8544,sK991(U_8550,U_8549,U_8548))
| ~ m1_subset_1(U_8544,u1_struct_0(U_8549)) )
& m1_subset_1(sK991(U_8550,U_8549,U_8548),k1_zfmisc_1(u1_struct_0(U_8549)))
& v1_finset_1(sK991(U_8550,U_8549,U_8548)) )
| ~ m1_rmod_4(U_8548,U_8550,U_8549) ) )
| ~ m2_fraenkel(U_8548,u1_struct_0(U_8549),u1_struct_0(U_8550),k1_fraenkel(u1_struct_0(U_8549),u1_struct_0(U_8550))) )
| ~ l1_vectsp_2(U_8549,U_8550)
| ~ v5_vectsp_2(U_8549,U_8550)
| ~ v6_rlvect_1(U_8549)
| ~ v5_rlvect_1(U_8549)
| ~ v4_rlvect_1(U_8549)
| ~ v3_rlvect_1(U_8549)
| v3_struct_0(U_8549) )
| ~ l3_vectsp_1(U_8550)
| ~ v8_vectsp_1(U_8550)
| ~ v7_vectsp_1(U_8550)
| ~ v6_vectsp_1(U_8550)
| ~ v4_group_1(U_8550)
| ~ v6_rlvect_1(U_8550)
| ~ v5_rlvect_1(U_8550)
| ~ v4_rlvect_1(U_8550)
| ~ v3_rlvect_1(U_8550)
| v3_struct_0(U_8550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK991]),skolemize(U_8545,sK991(U_8550,U_8549,U_8548))],[f_3348_2]) ).
fof(f_3348_4,plain,
! [U_8550] :
( ! [U_8549] :
( ! [U_8548] :
( ( ( m1_rmod_4(U_8548,U_8550,U_8549)
| ! [U_8547] :
( ( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,sK992(U_8550,U_8549,U_8548,U_8547)) != k1_rlvect_1(U_8550)
& ~ r2_hidden(sK992(U_8550,U_8549,U_8548,U_8547),U_8547)
& m1_subset_1(sK992(U_8550,U_8549,U_8548,U_8547),u1_struct_0(U_8549)) )
| ~ m1_subset_1(U_8547,k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ v1_finset_1(U_8547) ) )
& ( ( ! [U_8544] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8544) = k1_rlvect_1(U_8550)
| r2_hidden(U_8544,sK991(U_8550,U_8549,U_8548))
| ~ m1_subset_1(U_8544,u1_struct_0(U_8549)) )
& m1_subset_1(sK991(U_8550,U_8549,U_8548),k1_zfmisc_1(u1_struct_0(U_8549)))
& v1_finset_1(sK991(U_8550,U_8549,U_8548)) )
| ~ m1_rmod_4(U_8548,U_8550,U_8549) ) )
| ~ m2_fraenkel(U_8548,u1_struct_0(U_8549),u1_struct_0(U_8550),k1_fraenkel(u1_struct_0(U_8549),u1_struct_0(U_8550))) )
| ~ l1_vectsp_2(U_8549,U_8550)
| ~ v5_vectsp_2(U_8549,U_8550)
| ~ v6_rlvect_1(U_8549)
| ~ v5_rlvect_1(U_8549)
| ~ v4_rlvect_1(U_8549)
| ~ v3_rlvect_1(U_8549)
| v3_struct_0(U_8549) )
| ~ l3_vectsp_1(U_8550)
| ~ v8_vectsp_1(U_8550)
| ~ v7_vectsp_1(U_8550)
| ~ v6_vectsp_1(U_8550)
| ~ v4_group_1(U_8550)
| ~ v6_rlvect_1(U_8550)
| ~ v5_rlvect_1(U_8550)
| ~ v4_rlvect_1(U_8550)
| ~ v3_rlvect_1(U_8550)
| v3_struct_0(U_8550) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK992]),skolemize(U_8546,sK992(U_8550,U_8549,U_8548,U_8547))],[f_3348_3]) ).
fof(f_3348_5,plain,
( ! [U_8549,U_8547,U_8550,U_8548] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,sK992(U_8550,U_8549,U_8548,U_8547)) != k1_rlvect_1(U_8550)
| ~ sP1507(U_8549,U_8547,U_8550,U_8548) )
& ! [U_8549,U_8547,U_8550,U_8548] :
( ~ r2_hidden(sK992(U_8550,U_8549,U_8548,U_8547),U_8547)
| ~ sP1507(U_8549,U_8547,U_8550,U_8548) )
& ! [U_8549,U_8547,U_8550,U_8548] :
( m1_subset_1(sK992(U_8550,U_8549,U_8548,U_8547),u1_struct_0(U_8549))
| ~ sP1507(U_8549,U_8547,U_8550,U_8548) )
& ! [U_8549,U_8544,U_8550,U_8548] :
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8544) = k1_rlvect_1(U_8550)
| r2_hidden(U_8544,sK991(U_8550,U_8549,U_8548))
| ~ m1_subset_1(U_8544,u1_struct_0(U_8549))
| ~ sP1506(U_8549,U_8544,U_8550,U_8548) )
& ! [U_8549,U_8544,U_8550,U_8548] :
( m1_subset_1(sK991(U_8550,U_8549,U_8548),k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ sP1506(U_8549,U_8544,U_8550,U_8548) )
& ! [U_8549,U_8544,U_8550,U_8548] :
( v1_finset_1(sK991(U_8550,U_8549,U_8548))
| ~ sP1506(U_8549,U_8544,U_8550,U_8548) )
& ! [U_8549,U_8547,U_8544,U_8550,U_8548] :
( m1_rmod_4(U_8548,U_8550,U_8549)
| sP1507(U_8549,U_8547,U_8550,U_8548)
| ~ m1_subset_1(U_8547,k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ v1_finset_1(U_8547)
| ~ sP1508(U_8549,U_8547,U_8544,U_8550,U_8548) )
& ! [U_8549,U_8547,U_8544,U_8550,U_8548] :
( sP1506(U_8549,U_8544,U_8550,U_8548)
| ~ m1_rmod_4(U_8548,U_8550,U_8549)
| ~ sP1508(U_8549,U_8547,U_8544,U_8550,U_8548) )
& ! [U_8549,U_8547,U_8544,U_8550,U_8548] :
( sP1508(U_8549,U_8547,U_8544,U_8550,U_8548)
| ~ m2_fraenkel(U_8548,u1_struct_0(U_8549),u1_struct_0(U_8550),k1_fraenkel(u1_struct_0(U_8549),u1_struct_0(U_8550)))
| ~ l1_vectsp_2(U_8549,U_8550)
| ~ v5_vectsp_2(U_8549,U_8550)
| ~ v6_rlvect_1(U_8549)
| ~ v5_rlvect_1(U_8549)
| ~ v4_rlvect_1(U_8549)
| ~ v3_rlvect_1(U_8549)
| v3_struct_0(U_8549)
| ~ l3_vectsp_1(U_8550)
| ~ v8_vectsp_1(U_8550)
| ~ v7_vectsp_1(U_8550)
| ~ v6_vectsp_1(U_8550)
| ~ v4_group_1(U_8550)
| ~ v6_rlvect_1(U_8550)
| ~ v5_rlvect_1(U_8550)
| ~ v4_rlvect_1(U_8550)
| ~ v3_rlvect_1(U_8550)
| v3_struct_0(U_8550) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1506,sP1507,sP1508])],[f_3348_4]) ).
cnf(f_3348_6,plain,
( sP1508(U_8549,U_8547,U_8544,U_8550,U_8548)
| ~ m2_fraenkel(U_8548,u1_struct_0(U_8549),u1_struct_0(U_8550),k1_fraenkel(u1_struct_0(U_8549),u1_struct_0(U_8550)))
| ~ l1_vectsp_2(U_8549,U_8550)
| ~ v5_vectsp_2(U_8549,U_8550)
| ~ v6_rlvect_1(U_8549)
| ~ v5_rlvect_1(U_8549)
| ~ v4_rlvect_1(U_8549)
| ~ v3_rlvect_1(U_8549)
| v3_struct_0(U_8549)
| ~ l3_vectsp_1(U_8550)
| ~ v8_vectsp_1(U_8550)
| ~ v7_vectsp_1(U_8550)
| ~ v6_vectsp_1(U_8550)
| ~ v4_group_1(U_8550)
| ~ v6_rlvect_1(U_8550)
| ~ v5_rlvect_1(U_8550)
| ~ v4_rlvect_1(U_8550)
| ~ v3_rlvect_1(U_8550)
| v3_struct_0(U_8550) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_7,plain,
( sP1506(U_8549,U_8544,U_8550,U_8548)
| ~ m1_rmod_4(U_8548,U_8550,U_8549)
| ~ sP1508(U_8549,U_8547,U_8544,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_8,plain,
( m1_rmod_4(U_8548,U_8550,U_8549)
| sP1507(U_8549,U_8547,U_8550,U_8548)
| ~ m1_subset_1(U_8547,k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ v1_finset_1(U_8547)
| ~ sP1508(U_8549,U_8547,U_8544,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_9,plain,
( v1_finset_1(sK991(U_8550,U_8549,U_8548))
| ~ sP1506(U_8549,U_8544,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_10,plain,
( m1_subset_1(sK991(U_8550,U_8549,U_8548),k1_zfmisc_1(u1_struct_0(U_8549)))
| ~ sP1506(U_8549,U_8544,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_11,plain,
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,U_8544) = k1_rlvect_1(U_8550)
| r2_hidden(U_8544,sK991(U_8550,U_8549,U_8548))
| ~ m1_subset_1(U_8544,u1_struct_0(U_8549))
| ~ sP1506(U_8549,U_8544,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_12,plain,
( m1_subset_1(sK992(U_8550,U_8549,U_8548,U_8547),u1_struct_0(U_8549))
| ~ sP1507(U_8549,U_8547,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_13,plain,
( ~ r2_hidden(sK992(U_8550,U_8549,U_8548,U_8547),U_8547)
| ~ sP1507(U_8549,U_8547,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
cnf(f_3348_14,plain,
( k8_funct_2(u1_struct_0(U_8549),u1_struct_0(U_8550),U_8548,sK992(U_8550,U_8549,U_8548,U_8547)) != k1_rlvect_1(U_8550)
| ~ sP1507(U_8549,U_8547,U_8550,U_8548) ),
inference(clausify,[status(thm)],[f_3348_5]) ).
fof(f_3349_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t16_rmod_4]) ).
fof(f_3349_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3349_1]) ).
cnf(f_3349_3,plain,
$true,
inference(clausify,[status(thm)],[f_3349_2]) ).
fof(f_3350_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t17_rmod_4]) ).
fof(f_3350_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3350_1]) ).
cnf(f_3350_3,plain,
$true,
inference(clausify,[status(thm)],[f_3350_2]) ).
fof(f_3351_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t18_rmod_4]) ).
fof(f_3351_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3351_1]) ).
cnf(f_3351_3,plain,
$true,
inference(clausify,[status(thm)],[f_3351_2]) ).
fof(f_3352_1,plain,
! [A] :
( ! [B] :
( ! [C,D] :
( ( ( r2_hidden(C,k2_rmod_4(A,B,D))
| ! [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k1_rlvect_1(A)
| C != E
| ~ m1_subset_1(E,u1_struct_0(B)) ) )
& ( ? [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) != k1_rlvect_1(A)
& C = E
& m1_subset_1(E,u1_struct_0(B)) )
| ~ r2_hidden(C,k2_rmod_4(A,B,D)) ) )
| ~ m1_rmod_4(D,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t19_rmod_4]) ).
fof(f_3352_2,plain,
! [U_8556] :
( ! [U_8555] :
( ! [U_8554,U_8553] :
( ( ( r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553))
| ! [U_8552] :
( k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,U_8552) = k1_rlvect_1(U_8556)
| U_8554 != U_8552
| ~ m1_subset_1(U_8552,u1_struct_0(U_8555)) ) )
& ( ? [U_8551] :
( k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,U_8551) != k1_rlvect_1(U_8556)
& U_8554 = U_8551
& m1_subset_1(U_8551,u1_struct_0(U_8555)) )
| ~ r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553)) ) )
| ~ m1_rmod_4(U_8553,U_8556,U_8555) )
| ~ l1_vectsp_2(U_8555,U_8556)
| ~ v5_vectsp_2(U_8555,U_8556)
| ~ v6_rlvect_1(U_8555)
| ~ v5_rlvect_1(U_8555)
| ~ v4_rlvect_1(U_8555)
| ~ v3_rlvect_1(U_8555)
| v3_struct_0(U_8555) )
| ~ l3_vectsp_1(U_8556)
| ~ v8_vectsp_1(U_8556)
| ~ v7_vectsp_1(U_8556)
| ~ v6_vectsp_1(U_8556)
| ~ v4_group_1(U_8556)
| ~ v6_rlvect_1(U_8556)
| ~ v5_rlvect_1(U_8556)
| ~ v4_rlvect_1(U_8556)
| ~ v3_rlvect_1(U_8556)
| v3_struct_0(U_8556) ),
inference(variable_rename,[status(thm)],[f_3352_1]) ).
fof(f_3352_3,plain,
! [U_8556] :
( ! [U_8555] :
( ! [U_8554,U_8553] :
( ( ( r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553))
| ! [U_8552] :
( k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,U_8552) = k1_rlvect_1(U_8556)
| U_8554 != U_8552
| ~ m1_subset_1(U_8552,u1_struct_0(U_8555)) ) )
& ( ( k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,sK993(U_8556,U_8555,U_8554,U_8553)) != k1_rlvect_1(U_8556)
& U_8554 = sK993(U_8556,U_8555,U_8554,U_8553)
& m1_subset_1(sK993(U_8556,U_8555,U_8554,U_8553),u1_struct_0(U_8555)) )
| ~ r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553)) ) )
| ~ m1_rmod_4(U_8553,U_8556,U_8555) )
| ~ l1_vectsp_2(U_8555,U_8556)
| ~ v5_vectsp_2(U_8555,U_8556)
| ~ v6_rlvect_1(U_8555)
| ~ v5_rlvect_1(U_8555)
| ~ v4_rlvect_1(U_8555)
| ~ v3_rlvect_1(U_8555)
| v3_struct_0(U_8555) )
| ~ l3_vectsp_1(U_8556)
| ~ v8_vectsp_1(U_8556)
| ~ v7_vectsp_1(U_8556)
| ~ v6_vectsp_1(U_8556)
| ~ v4_group_1(U_8556)
| ~ v6_rlvect_1(U_8556)
| ~ v5_rlvect_1(U_8556)
| ~ v4_rlvect_1(U_8556)
| ~ v3_rlvect_1(U_8556)
| v3_struct_0(U_8556) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK993]),skolemize(U_8551,sK993(U_8556,U_8555,U_8554,U_8553))],[f_3352_2]) ).
fof(f_3352_4,plain,
( ! [U_8554,U_8553,U_8556,U_8555] :
( k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,sK993(U_8556,U_8555,U_8554,U_8553)) != k1_rlvect_1(U_8556)
| ~ sP1509(U_8554,U_8553,U_8556,U_8555) )
& ! [U_8554,U_8553,U_8556,U_8555] :
( U_8554 = sK993(U_8556,U_8555,U_8554,U_8553)
| ~ sP1509(U_8554,U_8553,U_8556,U_8555) )
& ! [U_8554,U_8553,U_8556,U_8555] :
( m1_subset_1(sK993(U_8556,U_8555,U_8554,U_8553),u1_struct_0(U_8555))
| ~ sP1509(U_8554,U_8553,U_8556,U_8555) )
& ! [U_8552,U_8554,U_8553,U_8556,U_8555] :
( r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553))
| k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,U_8552) = k1_rlvect_1(U_8556)
| U_8554 != U_8552
| ~ m1_subset_1(U_8552,u1_struct_0(U_8555))
| ~ sP1510(U_8552,U_8554,U_8553,U_8556,U_8555) )
& ! [U_8552,U_8554,U_8553,U_8556,U_8555] :
( sP1509(U_8554,U_8553,U_8556,U_8555)
| ~ r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553))
| ~ sP1510(U_8552,U_8554,U_8553,U_8556,U_8555) )
& ! [U_8552,U_8554,U_8553,U_8556,U_8555] :
( sP1510(U_8552,U_8554,U_8553,U_8556,U_8555)
| ~ m1_rmod_4(U_8553,U_8556,U_8555)
| ~ l1_vectsp_2(U_8555,U_8556)
| ~ v5_vectsp_2(U_8555,U_8556)
| ~ v6_rlvect_1(U_8555)
| ~ v5_rlvect_1(U_8555)
| ~ v4_rlvect_1(U_8555)
| ~ v3_rlvect_1(U_8555)
| v3_struct_0(U_8555)
| ~ l3_vectsp_1(U_8556)
| ~ v8_vectsp_1(U_8556)
| ~ v7_vectsp_1(U_8556)
| ~ v6_vectsp_1(U_8556)
| ~ v4_group_1(U_8556)
| ~ v6_rlvect_1(U_8556)
| ~ v5_rlvect_1(U_8556)
| ~ v4_rlvect_1(U_8556)
| ~ v3_rlvect_1(U_8556)
| v3_struct_0(U_8556) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1509,sP1510])],[f_3352_3]) ).
cnf(f_3352_5,plain,
( sP1510(U_8552,U_8554,U_8553,U_8556,U_8555)
| ~ m1_rmod_4(U_8553,U_8556,U_8555)
| ~ l1_vectsp_2(U_8555,U_8556)
| ~ v5_vectsp_2(U_8555,U_8556)
| ~ v6_rlvect_1(U_8555)
| ~ v5_rlvect_1(U_8555)
| ~ v4_rlvect_1(U_8555)
| ~ v3_rlvect_1(U_8555)
| v3_struct_0(U_8555)
| ~ l3_vectsp_1(U_8556)
| ~ v8_vectsp_1(U_8556)
| ~ v7_vectsp_1(U_8556)
| ~ v6_vectsp_1(U_8556)
| ~ v4_group_1(U_8556)
| ~ v6_rlvect_1(U_8556)
| ~ v5_rlvect_1(U_8556)
| ~ v4_rlvect_1(U_8556)
| ~ v3_rlvect_1(U_8556)
| v3_struct_0(U_8556) ),
inference(clausify,[status(thm)],[f_3352_4]) ).
cnf(f_3352_6,plain,
( sP1509(U_8554,U_8553,U_8556,U_8555)
| ~ r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553))
| ~ sP1510(U_8552,U_8554,U_8553,U_8556,U_8555) ),
inference(clausify,[status(thm)],[f_3352_4]) ).
cnf(f_3352_7,plain,
( r2_hidden(U_8554,k2_rmod_4(U_8556,U_8555,U_8553))
| k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,U_8552) = k1_rlvect_1(U_8556)
| U_8554 != U_8552
| ~ m1_subset_1(U_8552,u1_struct_0(U_8555))
| ~ sP1510(U_8552,U_8554,U_8553,U_8556,U_8555) ),
inference(clausify,[status(thm)],[f_3352_4]) ).
cnf(f_3352_8,plain,
( m1_subset_1(sK993(U_8556,U_8555,U_8554,U_8553),u1_struct_0(U_8555))
| ~ sP1509(U_8554,U_8553,U_8556,U_8555) ),
inference(clausify,[status(thm)],[f_3352_4]) ).
cnf(f_3352_9,plain,
( U_8554 = sK993(U_8556,U_8555,U_8554,U_8553)
| ~ sP1509(U_8554,U_8553,U_8556,U_8555) ),
inference(clausify,[status(thm)],[f_3352_4]) ).
cnf(f_3352_10,plain,
( k8_funct_2(u1_struct_0(U_8555),u1_struct_0(U_8556),U_8553,sK993(U_8556,U_8555,U_8554,U_8553)) != k1_rlvect_1(U_8556)
| ~ sP1509(U_8554,U_8553,U_8556,U_8555) ),
inference(clausify,[status(thm)],[f_3352_4]) ).
fof(f_3353_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k1_rlvect_1(A)
| r2_hidden(C,k2_rmod_4(A,B,D)) )
& ( ~ r2_hidden(C,k2_rmod_4(A,B,D))
| k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) != k1_rlvect_1(A) ) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t20_rmod_4]) ).
fof(f_3353_2,plain,
! [U_8560] :
( ! [U_8559] :
( ! [U_8558] :
( ! [U_8557] :
( ( ( k8_funct_2(u1_struct_0(U_8559),u1_struct_0(U_8560),U_8557,U_8558) = k1_rlvect_1(U_8560)
| r2_hidden(U_8558,k2_rmod_4(U_8560,U_8559,U_8557)) )
& ( ~ r2_hidden(U_8558,k2_rmod_4(U_8560,U_8559,U_8557))
| k8_funct_2(u1_struct_0(U_8559),u1_struct_0(U_8560),U_8557,U_8558) != k1_rlvect_1(U_8560) ) )
| ~ m1_rmod_4(U_8557,U_8560,U_8559) )
| ~ m1_subset_1(U_8558,u1_struct_0(U_8559)) )
| ~ l1_vectsp_2(U_8559,U_8560)
| ~ v5_vectsp_2(U_8559,U_8560)
| ~ v6_rlvect_1(U_8559)
| ~ v5_rlvect_1(U_8559)
| ~ v4_rlvect_1(U_8559)
| ~ v3_rlvect_1(U_8559)
| v3_struct_0(U_8559) )
| ~ l3_vectsp_1(U_8560)
| ~ v8_vectsp_1(U_8560)
| ~ v7_vectsp_1(U_8560)
| ~ v6_vectsp_1(U_8560)
| ~ v4_group_1(U_8560)
| ~ v6_rlvect_1(U_8560)
| ~ v5_rlvect_1(U_8560)
| ~ v4_rlvect_1(U_8560)
| ~ v3_rlvect_1(U_8560)
| v3_struct_0(U_8560) ),
inference(variable_rename,[status(thm)],[f_3353_1]) ).
fof(f_3353_3,plain,
( ! [U_8557,U_8559,U_8558,U_8560] :
( k8_funct_2(u1_struct_0(U_8559),u1_struct_0(U_8560),U_8557,U_8558) = k1_rlvect_1(U_8560)
| r2_hidden(U_8558,k2_rmod_4(U_8560,U_8559,U_8557))
| ~ sP1511(U_8557,U_8559,U_8558,U_8560) )
& ! [U_8557,U_8559,U_8558,U_8560] :
( ~ r2_hidden(U_8558,k2_rmod_4(U_8560,U_8559,U_8557))
| k8_funct_2(u1_struct_0(U_8559),u1_struct_0(U_8560),U_8557,U_8558) != k1_rlvect_1(U_8560)
| ~ sP1511(U_8557,U_8559,U_8558,U_8560) )
& ! [U_8557,U_8559,U_8558,U_8560] :
( sP1511(U_8557,U_8559,U_8558,U_8560)
| ~ m1_rmod_4(U_8557,U_8560,U_8559)
| ~ m1_subset_1(U_8558,u1_struct_0(U_8559))
| ~ l1_vectsp_2(U_8559,U_8560)
| ~ v5_vectsp_2(U_8559,U_8560)
| ~ v6_rlvect_1(U_8559)
| ~ v5_rlvect_1(U_8559)
| ~ v4_rlvect_1(U_8559)
| ~ v3_rlvect_1(U_8559)
| v3_struct_0(U_8559)
| ~ l3_vectsp_1(U_8560)
| ~ v8_vectsp_1(U_8560)
| ~ v7_vectsp_1(U_8560)
| ~ v6_vectsp_1(U_8560)
| ~ v4_group_1(U_8560)
| ~ v6_rlvect_1(U_8560)
| ~ v5_rlvect_1(U_8560)
| ~ v4_rlvect_1(U_8560)
| ~ v3_rlvect_1(U_8560)
| v3_struct_0(U_8560) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1511])],[f_3353_2]) ).
cnf(f_3353_4,plain,
( sP1511(U_8557,U_8559,U_8558,U_8560)
| ~ m1_rmod_4(U_8557,U_8560,U_8559)
| ~ m1_subset_1(U_8558,u1_struct_0(U_8559))
| ~ l1_vectsp_2(U_8559,U_8560)
| ~ v5_vectsp_2(U_8559,U_8560)
| ~ v6_rlvect_1(U_8559)
| ~ v5_rlvect_1(U_8559)
| ~ v4_rlvect_1(U_8559)
| ~ v3_rlvect_1(U_8559)
| v3_struct_0(U_8559)
| ~ l3_vectsp_1(U_8560)
| ~ v8_vectsp_1(U_8560)
| ~ v7_vectsp_1(U_8560)
| ~ v6_vectsp_1(U_8560)
| ~ v4_group_1(U_8560)
| ~ v6_rlvect_1(U_8560)
| ~ v5_rlvect_1(U_8560)
| ~ v4_rlvect_1(U_8560)
| ~ v3_rlvect_1(U_8560)
| v3_struct_0(U_8560) ),
inference(clausify,[status(thm)],[f_3353_3]) ).
cnf(f_3353_5,plain,
( ~ r2_hidden(U_8558,k2_rmod_4(U_8560,U_8559,U_8557))
| k8_funct_2(u1_struct_0(U_8559),u1_struct_0(U_8560),U_8557,U_8558) != k1_rlvect_1(U_8560)
| ~ sP1511(U_8557,U_8559,U_8558,U_8560) ),
inference(clausify,[status(thm)],[f_3353_3]) ).
cnf(f_3353_6,plain,
( k8_funct_2(u1_struct_0(U_8559),u1_struct_0(U_8560),U_8557,U_8558) = k1_rlvect_1(U_8560)
| r2_hidden(U_8558,k2_rmod_4(U_8560,U_8559,U_8557))
| ~ sP1511(U_8557,U_8559,U_8558,U_8560) ),
inference(clausify,[status(thm)],[f_3353_3]) ).
fof(f_3354_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k3_rmod_4(A,B)
| k2_rmod_4(A,B,C) != k1_xboole_0 )
& ( k2_rmod_4(A,B,C) = k1_xboole_0
| C != k3_rmod_4(A,B) ) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_rmod_4]) ).
fof(f_3354_2,plain,
! [U_8563] :
( ! [U_8562] :
( ! [U_8561] :
( ( ( U_8561 = k3_rmod_4(U_8563,U_8562)
| k2_rmod_4(U_8563,U_8562,U_8561) != k1_xboole_0 )
& ( k2_rmod_4(U_8563,U_8562,U_8561) = k1_xboole_0
| U_8561 != k3_rmod_4(U_8563,U_8562) ) )
| ~ m1_rmod_4(U_8561,U_8563,U_8562) )
| ~ l1_vectsp_2(U_8562,U_8563)
| ~ v5_vectsp_2(U_8562,U_8563)
| ~ v6_rlvect_1(U_8562)
| ~ v5_rlvect_1(U_8562)
| ~ v4_rlvect_1(U_8562)
| ~ v3_rlvect_1(U_8562)
| v3_struct_0(U_8562) )
| ~ l3_vectsp_1(U_8563)
| ~ v8_vectsp_1(U_8563)
| ~ v7_vectsp_1(U_8563)
| ~ v6_vectsp_1(U_8563)
| ~ v4_group_1(U_8563)
| ~ v6_rlvect_1(U_8563)
| ~ v5_rlvect_1(U_8563)
| ~ v4_rlvect_1(U_8563)
| ~ v3_rlvect_1(U_8563)
| v3_struct_0(U_8563) ),
inference(variable_rename,[status(thm)],[f_3354_1]) ).
fof(f_3354_3,plain,
( ! [U_8563,U_8561,U_8562] :
( U_8561 = k3_rmod_4(U_8563,U_8562)
| k2_rmod_4(U_8563,U_8562,U_8561) != k1_xboole_0
| ~ sP1512(U_8563,U_8561,U_8562) )
& ! [U_8563,U_8561,U_8562] :
( k2_rmod_4(U_8563,U_8562,U_8561) = k1_xboole_0
| U_8561 != k3_rmod_4(U_8563,U_8562)
| ~ sP1512(U_8563,U_8561,U_8562) )
& ! [U_8563,U_8561,U_8562] :
( sP1512(U_8563,U_8561,U_8562)
| ~ m1_rmod_4(U_8561,U_8563,U_8562)
| ~ l1_vectsp_2(U_8562,U_8563)
| ~ v5_vectsp_2(U_8562,U_8563)
| ~ v6_rlvect_1(U_8562)
| ~ v5_rlvect_1(U_8562)
| ~ v4_rlvect_1(U_8562)
| ~ v3_rlvect_1(U_8562)
| v3_struct_0(U_8562)
| ~ l3_vectsp_1(U_8563)
| ~ v8_vectsp_1(U_8563)
| ~ v7_vectsp_1(U_8563)
| ~ v6_vectsp_1(U_8563)
| ~ v4_group_1(U_8563)
| ~ v6_rlvect_1(U_8563)
| ~ v5_rlvect_1(U_8563)
| ~ v4_rlvect_1(U_8563)
| ~ v3_rlvect_1(U_8563)
| v3_struct_0(U_8563) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1512])],[f_3354_2]) ).
cnf(f_3354_4,plain,
( sP1512(U_8563,U_8561,U_8562)
| ~ m1_rmod_4(U_8561,U_8563,U_8562)
| ~ l1_vectsp_2(U_8562,U_8563)
| ~ v5_vectsp_2(U_8562,U_8563)
| ~ v6_rlvect_1(U_8562)
| ~ v5_rlvect_1(U_8562)
| ~ v4_rlvect_1(U_8562)
| ~ v3_rlvect_1(U_8562)
| v3_struct_0(U_8562)
| ~ l3_vectsp_1(U_8563)
| ~ v8_vectsp_1(U_8563)
| ~ v7_vectsp_1(U_8563)
| ~ v6_vectsp_1(U_8563)
| ~ v4_group_1(U_8563)
| ~ v6_rlvect_1(U_8563)
| ~ v5_rlvect_1(U_8563)
| ~ v4_rlvect_1(U_8563)
| ~ v3_rlvect_1(U_8563)
| v3_struct_0(U_8563) ),
inference(clausify,[status(thm)],[f_3354_3]) ).
cnf(f_3354_5,plain,
( k2_rmod_4(U_8563,U_8562,U_8561) = k1_xboole_0
| U_8561 != k3_rmod_4(U_8563,U_8562)
| ~ sP1512(U_8563,U_8561,U_8562) ),
inference(clausify,[status(thm)],[f_3354_3]) ).
cnf(f_3354_6,plain,
( U_8561 = k3_rmod_4(U_8563,U_8562)
| k2_rmod_4(U_8563,U_8562,U_8561) != k1_xboole_0
| ~ sP1512(U_8563,U_8561,U_8562) ),
inference(clausify,[status(thm)],[f_3354_3]) ).
fof(f_3355_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t21_rmod_4]) ).
fof(f_3355_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3355_1]) ).
cnf(f_3355_3,plain,
$true,
inference(clausify,[status(thm)],[f_3355_2]) ).
fof(f_3356_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),k3_rmod_4(A,B),C) = k1_rlvect_1(A)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_rmod_4]) ).
fof(f_3356_2,plain,
! [U_8566] :
( ! [U_8565] :
( ! [U_8564] :
( k8_funct_2(u1_struct_0(U_8565),u1_struct_0(U_8566),k3_rmod_4(U_8566,U_8565),U_8564) = k1_rlvect_1(U_8566)
| ~ m1_subset_1(U_8564,u1_struct_0(U_8565)) )
| ~ l1_vectsp_2(U_8565,U_8566)
| ~ v5_vectsp_2(U_8565,U_8566)
| ~ v6_rlvect_1(U_8565)
| ~ v5_rlvect_1(U_8565)
| ~ v4_rlvect_1(U_8565)
| ~ v3_rlvect_1(U_8565)
| v3_struct_0(U_8565) )
| ~ l3_vectsp_1(U_8566)
| ~ v8_vectsp_1(U_8566)
| ~ v7_vectsp_1(U_8566)
| ~ v6_vectsp_1(U_8566)
| ~ v4_group_1(U_8566)
| ~ v6_rlvect_1(U_8566)
| ~ v5_rlvect_1(U_8566)
| ~ v4_rlvect_1(U_8566)
| ~ v3_rlvect_1(U_8566)
| v3_struct_0(U_8566) ),
inference(variable_rename,[status(thm)],[f_3356_1]) ).
fof(f_3356_3,plain,
! [U_8566,U_8565,U_8564] :
( k8_funct_2(u1_struct_0(U_8565),u1_struct_0(U_8566),k3_rmod_4(U_8566,U_8565),U_8564) = k1_rlvect_1(U_8566)
| ~ m1_subset_1(U_8564,u1_struct_0(U_8565))
| ~ l1_vectsp_2(U_8565,U_8566)
| ~ v5_vectsp_2(U_8565,U_8566)
| ~ v6_rlvect_1(U_8565)
| ~ v5_rlvect_1(U_8565)
| ~ v4_rlvect_1(U_8565)
| ~ v3_rlvect_1(U_8565)
| v3_struct_0(U_8565)
| ~ l3_vectsp_1(U_8566)
| ~ v8_vectsp_1(U_8566)
| ~ v7_vectsp_1(U_8566)
| ~ v6_vectsp_1(U_8566)
| ~ v4_group_1(U_8566)
| ~ v6_rlvect_1(U_8566)
| ~ v5_rlvect_1(U_8566)
| ~ v4_rlvect_1(U_8566)
| ~ v3_rlvect_1(U_8566)
| v3_struct_0(U_8566) ),
inference(definitional_conversion,[status(esa)],[f_3356_2]) ).
cnf(f_3356_4,plain,
( k8_funct_2(u1_struct_0(U_8565),u1_struct_0(U_8566),k3_rmod_4(U_8566,U_8565),U_8564) = k1_rlvect_1(U_8566)
| ~ m1_subset_1(U_8564,u1_struct_0(U_8565))
| ~ l1_vectsp_2(U_8565,U_8566)
| ~ v5_vectsp_2(U_8565,U_8566)
| ~ v6_rlvect_1(U_8565)
| ~ v5_rlvect_1(U_8565)
| ~ v4_rlvect_1(U_8565)
| ~ v3_rlvect_1(U_8565)
| v3_struct_0(U_8565)
| ~ l3_vectsp_1(U_8566)
| ~ v8_vectsp_1(U_8566)
| ~ v7_vectsp_1(U_8566)
| ~ v6_vectsp_1(U_8566)
| ~ v4_group_1(U_8566)
| ~ v6_rlvect_1(U_8566)
| ~ v5_rlvect_1(U_8566)
| ~ v4_rlvect_1(U_8566)
| ~ v3_rlvect_1(U_8566)
| v3_struct_0(U_8566) ),
inference(clausify,[status(thm)],[f_3356_3]) ).
fof(f_3357_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( m2_rmod_4(D,A,B,C)
| ~ r1_tarski(k2_rmod_4(A,B,D),C) )
& ( r1_tarski(k2_rmod_4(A,B,D),C)
| ~ m2_rmod_4(D,A,B,C) ) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d7_rmod_4]) ).
fof(f_3357_2,plain,
! [U_8570] :
( ! [U_8569] :
( ! [U_8568] :
( ! [U_8567] :
( ( ( m2_rmod_4(U_8567,U_8570,U_8569,U_8568)
| ~ r1_tarski(k2_rmod_4(U_8570,U_8569,U_8567),U_8568) )
& ( r1_tarski(k2_rmod_4(U_8570,U_8569,U_8567),U_8568)
| ~ m2_rmod_4(U_8567,U_8570,U_8569,U_8568) ) )
| ~ m1_rmod_4(U_8567,U_8570,U_8569) )
| ~ m1_subset_1(U_8568,k1_zfmisc_1(u1_struct_0(U_8569))) )
| ~ l1_vectsp_2(U_8569,U_8570)
| ~ v5_vectsp_2(U_8569,U_8570)
| ~ v6_rlvect_1(U_8569)
| ~ v5_rlvect_1(U_8569)
| ~ v4_rlvect_1(U_8569)
| ~ v3_rlvect_1(U_8569)
| v3_struct_0(U_8569) )
| ~ l3_vectsp_1(U_8570)
| ~ v8_vectsp_1(U_8570)
| ~ v7_vectsp_1(U_8570)
| ~ v6_vectsp_1(U_8570)
| ~ v4_group_1(U_8570)
| ~ v6_rlvect_1(U_8570)
| ~ v5_rlvect_1(U_8570)
| ~ v4_rlvect_1(U_8570)
| ~ v3_rlvect_1(U_8570)
| v3_struct_0(U_8570) ),
inference(variable_rename,[status(thm)],[f_3357_1]) ).
fof(f_3357_3,plain,
( ! [U_8567,U_8569,U_8568,U_8570] :
( m2_rmod_4(U_8567,U_8570,U_8569,U_8568)
| ~ r1_tarski(k2_rmod_4(U_8570,U_8569,U_8567),U_8568)
| ~ sP1513(U_8567,U_8569,U_8568,U_8570) )
& ! [U_8567,U_8569,U_8568,U_8570] :
( r1_tarski(k2_rmod_4(U_8570,U_8569,U_8567),U_8568)
| ~ m2_rmod_4(U_8567,U_8570,U_8569,U_8568)
| ~ sP1513(U_8567,U_8569,U_8568,U_8570) )
& ! [U_8567,U_8569,U_8568,U_8570] :
( sP1513(U_8567,U_8569,U_8568,U_8570)
| ~ m1_rmod_4(U_8567,U_8570,U_8569)
| ~ m1_subset_1(U_8568,k1_zfmisc_1(u1_struct_0(U_8569)))
| ~ l1_vectsp_2(U_8569,U_8570)
| ~ v5_vectsp_2(U_8569,U_8570)
| ~ v6_rlvect_1(U_8569)
| ~ v5_rlvect_1(U_8569)
| ~ v4_rlvect_1(U_8569)
| ~ v3_rlvect_1(U_8569)
| v3_struct_0(U_8569)
| ~ l3_vectsp_1(U_8570)
| ~ v8_vectsp_1(U_8570)
| ~ v7_vectsp_1(U_8570)
| ~ v6_vectsp_1(U_8570)
| ~ v4_group_1(U_8570)
| ~ v6_rlvect_1(U_8570)
| ~ v5_rlvect_1(U_8570)
| ~ v4_rlvect_1(U_8570)
| ~ v3_rlvect_1(U_8570)
| v3_struct_0(U_8570) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1513])],[f_3357_2]) ).
cnf(f_3357_4,plain,
( sP1513(U_8567,U_8569,U_8568,U_8570)
| ~ m1_rmod_4(U_8567,U_8570,U_8569)
| ~ m1_subset_1(U_8568,k1_zfmisc_1(u1_struct_0(U_8569)))
| ~ l1_vectsp_2(U_8569,U_8570)
| ~ v5_vectsp_2(U_8569,U_8570)
| ~ v6_rlvect_1(U_8569)
| ~ v5_rlvect_1(U_8569)
| ~ v4_rlvect_1(U_8569)
| ~ v3_rlvect_1(U_8569)
| v3_struct_0(U_8569)
| ~ l3_vectsp_1(U_8570)
| ~ v8_vectsp_1(U_8570)
| ~ v7_vectsp_1(U_8570)
| ~ v6_vectsp_1(U_8570)
| ~ v4_group_1(U_8570)
| ~ v6_rlvect_1(U_8570)
| ~ v5_rlvect_1(U_8570)
| ~ v4_rlvect_1(U_8570)
| ~ v3_rlvect_1(U_8570)
| v3_struct_0(U_8570) ),
inference(clausify,[status(thm)],[f_3357_3]) ).
cnf(f_3357_5,plain,
( r1_tarski(k2_rmod_4(U_8570,U_8569,U_8567),U_8568)
| ~ m2_rmod_4(U_8567,U_8570,U_8569,U_8568)
| ~ sP1513(U_8567,U_8569,U_8568,U_8570) ),
inference(clausify,[status(thm)],[f_3357_3]) ).
cnf(f_3357_6,plain,
( m2_rmod_4(U_8567,U_8570,U_8569,U_8568)
| ~ r1_tarski(k2_rmod_4(U_8570,U_8569,U_8567),U_8568)
| ~ sP1513(U_8567,U_8569,U_8568,U_8570) ),
inference(clausify,[status(thm)],[f_3357_3]) ).
fof(f_3358_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t23_rmod_4]) ).
fof(f_3358_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3358_1]) ).
cnf(f_3358_3,plain,
$true,
inference(clausify,[status(thm)],[f_3358_2]) ).
fof(f_3359_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t24_rmod_4]) ).
fof(f_3359_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3359_1]) ).
cnf(f_3359_3,plain,
$true,
inference(clausify,[status(thm)],[f_3359_2]) ).
fof(f_3360_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m2_rmod_4(E,A,B,D)
| ~ r1_tarski(C,D)
| ~ m2_rmod_4(E,A,B,C) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t25_rmod_4]) ).
fof(f_3360_2,plain,
! [U_8575] :
( ! [U_8574] :
( ! [U_8573] :
( ! [U_8572] :
( ! [U_8571] :
( m2_rmod_4(U_8571,U_8575,U_8574,U_8572)
| ~ r1_tarski(U_8573,U_8572)
| ~ m2_rmod_4(U_8571,U_8575,U_8574,U_8573) )
| ~ m1_subset_1(U_8572,k1_zfmisc_1(u1_struct_0(U_8574))) )
| ~ m1_subset_1(U_8573,k1_zfmisc_1(u1_struct_0(U_8574))) )
| ~ l1_vectsp_2(U_8574,U_8575)
| ~ v5_vectsp_2(U_8574,U_8575)
| ~ v6_rlvect_1(U_8574)
| ~ v5_rlvect_1(U_8574)
| ~ v4_rlvect_1(U_8574)
| ~ v3_rlvect_1(U_8574)
| v3_struct_0(U_8574) )
| ~ l3_vectsp_1(U_8575)
| ~ v8_vectsp_1(U_8575)
| ~ v7_vectsp_1(U_8575)
| ~ v6_vectsp_1(U_8575)
| ~ v4_group_1(U_8575)
| ~ v6_rlvect_1(U_8575)
| ~ v5_rlvect_1(U_8575)
| ~ v4_rlvect_1(U_8575)
| ~ v3_rlvect_1(U_8575)
| v3_struct_0(U_8575) ),
inference(variable_rename,[status(thm)],[f_3360_1]) ).
fof(f_3360_3,plain,
! [U_8574,U_8571,U_8575,U_8572,U_8573] :
( m2_rmod_4(U_8571,U_8575,U_8574,U_8572)
| ~ r1_tarski(U_8573,U_8572)
| ~ m2_rmod_4(U_8571,U_8575,U_8574,U_8573)
| ~ m1_subset_1(U_8572,k1_zfmisc_1(u1_struct_0(U_8574)))
| ~ m1_subset_1(U_8573,k1_zfmisc_1(u1_struct_0(U_8574)))
| ~ l1_vectsp_2(U_8574,U_8575)
| ~ v5_vectsp_2(U_8574,U_8575)
| ~ v6_rlvect_1(U_8574)
| ~ v5_rlvect_1(U_8574)
| ~ v4_rlvect_1(U_8574)
| ~ v3_rlvect_1(U_8574)
| v3_struct_0(U_8574)
| ~ l3_vectsp_1(U_8575)
| ~ v8_vectsp_1(U_8575)
| ~ v7_vectsp_1(U_8575)
| ~ v6_vectsp_1(U_8575)
| ~ v4_group_1(U_8575)
| ~ v6_rlvect_1(U_8575)
| ~ v5_rlvect_1(U_8575)
| ~ v4_rlvect_1(U_8575)
| ~ v3_rlvect_1(U_8575)
| v3_struct_0(U_8575) ),
inference(definitional_conversion,[status(esa)],[f_3360_2]) ).
cnf(f_3360_4,plain,
( m2_rmod_4(U_8571,U_8575,U_8574,U_8572)
| ~ r1_tarski(U_8573,U_8572)
| ~ m2_rmod_4(U_8571,U_8575,U_8574,U_8573)
| ~ m1_subset_1(U_8572,k1_zfmisc_1(u1_struct_0(U_8574)))
| ~ m1_subset_1(U_8573,k1_zfmisc_1(u1_struct_0(U_8574)))
| ~ l1_vectsp_2(U_8574,U_8575)
| ~ v5_vectsp_2(U_8574,U_8575)
| ~ v6_rlvect_1(U_8574)
| ~ v5_rlvect_1(U_8574)
| ~ v4_rlvect_1(U_8574)
| ~ v3_rlvect_1(U_8574)
| v3_struct_0(U_8574)
| ~ l3_vectsp_1(U_8575)
| ~ v8_vectsp_1(U_8575)
| ~ v7_vectsp_1(U_8575)
| ~ v6_vectsp_1(U_8575)
| ~ v4_group_1(U_8575)
| ~ v6_rlvect_1(U_8575)
| ~ v5_rlvect_1(U_8575)
| ~ v4_rlvect_1(U_8575)
| ~ v3_rlvect_1(U_8575)
| v3_struct_0(U_8575) ),
inference(clausify,[status(thm)],[f_3360_3]) ).
fof(f_3361_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_rmod_4(k3_rmod_4(A,B),A,B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t26_rmod_4]) ).
fof(f_3361_2,plain,
! [U_8578] :
( ! [U_8577] :
( ! [U_8576] :
( m2_rmod_4(k3_rmod_4(U_8578,U_8577),U_8578,U_8577,U_8576)
| ~ m1_subset_1(U_8576,k1_zfmisc_1(u1_struct_0(U_8577))) )
| ~ l1_vectsp_2(U_8577,U_8578)
| ~ v5_vectsp_2(U_8577,U_8578)
| ~ v6_rlvect_1(U_8577)
| ~ v5_rlvect_1(U_8577)
| ~ v4_rlvect_1(U_8577)
| ~ v3_rlvect_1(U_8577)
| v3_struct_0(U_8577) )
| ~ l3_vectsp_1(U_8578)
| ~ v8_vectsp_1(U_8578)
| ~ v7_vectsp_1(U_8578)
| ~ v6_vectsp_1(U_8578)
| ~ v4_group_1(U_8578)
| ~ v6_rlvect_1(U_8578)
| ~ v5_rlvect_1(U_8578)
| ~ v4_rlvect_1(U_8578)
| ~ v3_rlvect_1(U_8578)
| v3_struct_0(U_8578) ),
inference(variable_rename,[status(thm)],[f_3361_1]) ).
fof(f_3361_3,plain,
! [U_8577,U_8578,U_8576] :
( m2_rmod_4(k3_rmod_4(U_8578,U_8577),U_8578,U_8577,U_8576)
| ~ m1_subset_1(U_8576,k1_zfmisc_1(u1_struct_0(U_8577)))
| ~ l1_vectsp_2(U_8577,U_8578)
| ~ v5_vectsp_2(U_8577,U_8578)
| ~ v6_rlvect_1(U_8577)
| ~ v5_rlvect_1(U_8577)
| ~ v4_rlvect_1(U_8577)
| ~ v3_rlvect_1(U_8577)
| v3_struct_0(U_8577)
| ~ l3_vectsp_1(U_8578)
| ~ v8_vectsp_1(U_8578)
| ~ v7_vectsp_1(U_8578)
| ~ v6_vectsp_1(U_8578)
| ~ v4_group_1(U_8578)
| ~ v6_rlvect_1(U_8578)
| ~ v5_rlvect_1(U_8578)
| ~ v4_rlvect_1(U_8578)
| ~ v3_rlvect_1(U_8578)
| v3_struct_0(U_8578) ),
inference(definitional_conversion,[status(esa)],[f_3361_2]) ).
cnf(f_3361_4,plain,
( m2_rmod_4(k3_rmod_4(U_8578,U_8577),U_8578,U_8577,U_8576)
| ~ m1_subset_1(U_8576,k1_zfmisc_1(u1_struct_0(U_8577)))
| ~ l1_vectsp_2(U_8577,U_8578)
| ~ v5_vectsp_2(U_8577,U_8578)
| ~ v6_rlvect_1(U_8577)
| ~ v5_rlvect_1(U_8577)
| ~ v4_rlvect_1(U_8577)
| ~ v3_rlvect_1(U_8577)
| v3_struct_0(U_8577)
| ~ l3_vectsp_1(U_8578)
| ~ v8_vectsp_1(U_8578)
| ~ v7_vectsp_1(U_8578)
| ~ v6_vectsp_1(U_8578)
| ~ v4_group_1(U_8578)
| ~ v6_rlvect_1(U_8578)
| ~ v5_rlvect_1(U_8578)
| ~ v4_rlvect_1(U_8578)
| ~ v3_rlvect_1(U_8578)
| v3_struct_0(U_8578) ),
inference(clausify,[status(thm)],[f_3361_3]) ).
fof(f_3362_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k3_rmod_4(A,B)
| ~ m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t27_rmod_4]) ).
fof(f_3362_2,plain,
! [U_8581] :
( ! [U_8580] :
( ! [U_8579] :
( U_8579 = k3_rmod_4(U_8581,U_8580)
| ~ m2_rmod_4(U_8579,U_8581,U_8580,k1_subset_1(u1_struct_0(U_8580))) )
| ~ l1_vectsp_2(U_8580,U_8581)
| ~ v5_vectsp_2(U_8580,U_8581)
| ~ v6_rlvect_1(U_8580)
| ~ v5_rlvect_1(U_8580)
| ~ v4_rlvect_1(U_8580)
| ~ v3_rlvect_1(U_8580)
| v3_struct_0(U_8580) )
| ~ l3_vectsp_1(U_8581)
| ~ v8_vectsp_1(U_8581)
| ~ v7_vectsp_1(U_8581)
| ~ v6_vectsp_1(U_8581)
| ~ v4_group_1(U_8581)
| ~ v6_rlvect_1(U_8581)
| ~ v5_rlvect_1(U_8581)
| ~ v4_rlvect_1(U_8581)
| ~ v3_rlvect_1(U_8581)
| v3_struct_0(U_8581) ),
inference(variable_rename,[status(thm)],[f_3362_1]) ).
fof(f_3362_3,plain,
! [U_8581,U_8580,U_8579] :
( U_8579 = k3_rmod_4(U_8581,U_8580)
| ~ m2_rmod_4(U_8579,U_8581,U_8580,k1_subset_1(u1_struct_0(U_8580)))
| ~ l1_vectsp_2(U_8580,U_8581)
| ~ v5_vectsp_2(U_8580,U_8581)
| ~ v6_rlvect_1(U_8580)
| ~ v5_rlvect_1(U_8580)
| ~ v4_rlvect_1(U_8580)
| ~ v3_rlvect_1(U_8580)
| v3_struct_0(U_8580)
| ~ l3_vectsp_1(U_8581)
| ~ v8_vectsp_1(U_8581)
| ~ v7_vectsp_1(U_8581)
| ~ v6_vectsp_1(U_8581)
| ~ v4_group_1(U_8581)
| ~ v6_rlvect_1(U_8581)
| ~ v5_rlvect_1(U_8581)
| ~ v4_rlvect_1(U_8581)
| ~ v3_rlvect_1(U_8581)
| v3_struct_0(U_8581) ),
inference(definitional_conversion,[status(esa)],[f_3362_2]) ).
cnf(f_3362_4,plain,
( U_8579 = k3_rmod_4(U_8581,U_8580)
| ~ m2_rmod_4(U_8579,U_8581,U_8580,k1_subset_1(u1_struct_0(U_8580)))
| ~ l1_vectsp_2(U_8580,U_8581)
| ~ v5_vectsp_2(U_8580,U_8581)
| ~ v6_rlvect_1(U_8580)
| ~ v5_rlvect_1(U_8580)
| ~ v4_rlvect_1(U_8580)
| ~ v3_rlvect_1(U_8580)
| v3_struct_0(U_8580)
| ~ l3_vectsp_1(U_8581)
| ~ v8_vectsp_1(U_8581)
| ~ v7_vectsp_1(U_8581)
| ~ v6_vectsp_1(U_8581)
| ~ v4_group_1(U_8581)
| ~ v6_rlvect_1(U_8581)
| ~ v5_rlvect_1(U_8581)
| ~ v4_rlvect_1(U_8581)
| ~ v3_rlvect_1(U_8581)
| v3_struct_0(U_8581) ),
inference(clausify,[status(thm)],[f_3362_3]) ).
fof(f_3363_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_rmod_4(C,A,B,k2_rmod_4(A,B,C))
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t28_rmod_4]) ).
fof(f_3363_2,plain,
! [U_8584] :
( ! [U_8583] :
( ! [U_8582] :
( m2_rmod_4(U_8582,U_8584,U_8583,k2_rmod_4(U_8584,U_8583,U_8582))
| ~ m1_rmod_4(U_8582,U_8584,U_8583) )
| ~ l1_vectsp_2(U_8583,U_8584)
| ~ v5_vectsp_2(U_8583,U_8584)
| ~ v6_rlvect_1(U_8583)
| ~ v5_rlvect_1(U_8583)
| ~ v4_rlvect_1(U_8583)
| ~ v3_rlvect_1(U_8583)
| v3_struct_0(U_8583) )
| ~ l3_vectsp_1(U_8584)
| ~ v8_vectsp_1(U_8584)
| ~ v7_vectsp_1(U_8584)
| ~ v6_vectsp_1(U_8584)
| ~ v4_group_1(U_8584)
| ~ v6_rlvect_1(U_8584)
| ~ v5_rlvect_1(U_8584)
| ~ v4_rlvect_1(U_8584)
| ~ v3_rlvect_1(U_8584)
| v3_struct_0(U_8584) ),
inference(variable_rename,[status(thm)],[f_3363_1]) ).
fof(f_3363_3,plain,
! [U_8583,U_8584,U_8582] :
( m2_rmod_4(U_8582,U_8584,U_8583,k2_rmod_4(U_8584,U_8583,U_8582))
| ~ m1_rmod_4(U_8582,U_8584,U_8583)
| ~ l1_vectsp_2(U_8583,U_8584)
| ~ v5_vectsp_2(U_8583,U_8584)
| ~ v6_rlvect_1(U_8583)
| ~ v5_rlvect_1(U_8583)
| ~ v4_rlvect_1(U_8583)
| ~ v3_rlvect_1(U_8583)
| v3_struct_0(U_8583)
| ~ l3_vectsp_1(U_8584)
| ~ v8_vectsp_1(U_8584)
| ~ v7_vectsp_1(U_8584)
| ~ v6_vectsp_1(U_8584)
| ~ v4_group_1(U_8584)
| ~ v6_rlvect_1(U_8584)
| ~ v5_rlvect_1(U_8584)
| ~ v4_rlvect_1(U_8584)
| ~ v3_rlvect_1(U_8584)
| v3_struct_0(U_8584) ),
inference(definitional_conversion,[status(esa)],[f_3363_2]) ).
cnf(f_3363_4,plain,
( m2_rmod_4(U_8582,U_8584,U_8583,k2_rmod_4(U_8584,U_8583,U_8582))
| ~ m1_rmod_4(U_8582,U_8584,U_8583)
| ~ l1_vectsp_2(U_8583,U_8584)
| ~ v5_vectsp_2(U_8583,U_8584)
| ~ v6_rlvect_1(U_8583)
| ~ v5_rlvect_1(U_8583)
| ~ v4_rlvect_1(U_8583)
| ~ v3_rlvect_1(U_8583)
| v3_struct_0(U_8583)
| ~ l3_vectsp_1(U_8584)
| ~ v8_vectsp_1(U_8584)
| ~ v7_vectsp_1(U_8584)
| ~ v6_vectsp_1(U_8584)
| ~ v4_group_1(U_8584)
| ~ v6_rlvect_1(U_8584)
| ~ v5_rlvect_1(U_8584)
| ~ v4_rlvect_1(U_8584)
| ~ v3_rlvect_1(U_8584)
| v3_struct_0(U_8584) ),
inference(clausify,[status(thm)],[f_3363_3]) ).
fof(f_3364_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( E = k4_rmod_4(A,B,C,D)
| ? [F] :
( k1_funct_1(E,F) != k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)),k4_finseq_4(k5_numbers,u1_struct_0(B),C,F))
& r2_hidden(F,k1_relat_1(E))
& m2_subset_1(F,k1_numbers,k5_numbers) )
| k3_finseq_1(E) != k3_finseq_1(C) )
& ( ( ! [F] :
( k1_funct_1(E,F) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)),k4_finseq_4(k5_numbers,u1_struct_0(B),C,F))
| ~ r2_hidden(F,k1_relat_1(E))
| ~ m2_subset_1(F,k1_numbers,k5_numbers) )
& k3_finseq_1(E) = k3_finseq_1(C) )
| E != k4_rmod_4(A,B,C,D) ) )
| ~ m2_finseq_1(E,u1_struct_0(B)) )
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D) )
| ~ m2_finseq_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d8_rmod_4]) ).
fof(f_3364_2,plain,
! [U_8591] :
( ! [U_8590] :
( ! [U_8589] :
( ! [U_8588] :
( ! [U_8587] :
( ( ( U_8587 = k4_rmod_4(U_8591,U_8590,U_8589,U_8588)
| ? [U_8586] :
( k1_funct_1(U_8587,U_8586) != k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8586)),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8586))
& r2_hidden(U_8586,k1_relat_1(U_8587))
& m2_subset_1(U_8586,k1_numbers,k5_numbers) )
| k3_finseq_1(U_8587) != k3_finseq_1(U_8589) )
& ( ( ! [U_8585] :
( k1_funct_1(U_8587,U_8585) = k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585)),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585))
| ~ r2_hidden(U_8585,k1_relat_1(U_8587))
| ~ m2_subset_1(U_8585,k1_numbers,k5_numbers) )
& k3_finseq_1(U_8587) = k3_finseq_1(U_8589) )
| U_8587 != k4_rmod_4(U_8591,U_8590,U_8589,U_8588) ) )
| ~ m2_finseq_1(U_8587,u1_struct_0(U_8590)) )
| ~ m2_relset_1(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_2(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_1(U_8588) )
| ~ m2_finseq_1(U_8589,u1_struct_0(U_8590)) )
| ~ l1_vectsp_2(U_8590,U_8591)
| ~ v5_vectsp_2(U_8590,U_8591)
| ~ v6_rlvect_1(U_8590)
| ~ v5_rlvect_1(U_8590)
| ~ v4_rlvect_1(U_8590)
| ~ v3_rlvect_1(U_8590)
| v3_struct_0(U_8590) )
| ~ l3_vectsp_1(U_8591)
| ~ v8_vectsp_1(U_8591)
| ~ v7_vectsp_1(U_8591)
| ~ v6_vectsp_1(U_8591)
| ~ v4_group_1(U_8591)
| ~ v6_rlvect_1(U_8591)
| ~ v5_rlvect_1(U_8591)
| ~ v4_rlvect_1(U_8591)
| ~ v3_rlvect_1(U_8591)
| v3_struct_0(U_8591) ),
inference(variable_rename,[status(thm)],[f_3364_1]) ).
fof(f_3364_3,plain,
! [U_8591] :
( ! [U_8590] :
( ! [U_8589] :
( ! [U_8588] :
( ! [U_8587] :
( ( ( U_8587 = k4_rmod_4(U_8591,U_8590,U_8589,U_8588)
| ( k1_funct_1(U_8587,sK994(U_8591,U_8590,U_8589,U_8588,U_8587)) != k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,sK994(U_8591,U_8590,U_8589,U_8588,U_8587))),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,sK994(U_8591,U_8590,U_8589,U_8588,U_8587)))
& r2_hidden(sK994(U_8591,U_8590,U_8589,U_8588,U_8587),k1_relat_1(U_8587))
& m2_subset_1(sK994(U_8591,U_8590,U_8589,U_8588,U_8587),k1_numbers,k5_numbers) )
| k3_finseq_1(U_8587) != k3_finseq_1(U_8589) )
& ( ( ! [U_8585] :
( k1_funct_1(U_8587,U_8585) = k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585)),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585))
| ~ r2_hidden(U_8585,k1_relat_1(U_8587))
| ~ m2_subset_1(U_8585,k1_numbers,k5_numbers) )
& k3_finseq_1(U_8587) = k3_finseq_1(U_8589) )
| U_8587 != k4_rmod_4(U_8591,U_8590,U_8589,U_8588) ) )
| ~ m2_finseq_1(U_8587,u1_struct_0(U_8590)) )
| ~ m2_relset_1(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_2(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_1(U_8588) )
| ~ m2_finseq_1(U_8589,u1_struct_0(U_8590)) )
| ~ l1_vectsp_2(U_8590,U_8591)
| ~ v5_vectsp_2(U_8590,U_8591)
| ~ v6_rlvect_1(U_8590)
| ~ v5_rlvect_1(U_8590)
| ~ v4_rlvect_1(U_8590)
| ~ v3_rlvect_1(U_8590)
| v3_struct_0(U_8590) )
| ~ l3_vectsp_1(U_8591)
| ~ v8_vectsp_1(U_8591)
| ~ v7_vectsp_1(U_8591)
| ~ v6_vectsp_1(U_8591)
| ~ v4_group_1(U_8591)
| ~ v6_rlvect_1(U_8591)
| ~ v5_rlvect_1(U_8591)
| ~ v4_rlvect_1(U_8591)
| ~ v3_rlvect_1(U_8591)
| v3_struct_0(U_8591) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK994]),skolemize(U_8586,sK994(U_8591,U_8590,U_8589,U_8588,U_8587))],[f_3364_2]) ).
fof(f_3364_4,plain,
( ! [U_8588,U_8590,U_8587,U_8591,U_8589] :
( k1_funct_1(U_8587,sK994(U_8591,U_8590,U_8589,U_8588,U_8587)) != k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,sK994(U_8591,U_8590,U_8589,U_8588,U_8587))),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,sK994(U_8591,U_8590,U_8589,U_8588,U_8587)))
| ~ sP1515(U_8588,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8590,U_8587,U_8591,U_8589] :
( r2_hidden(sK994(U_8591,U_8590,U_8589,U_8588,U_8587),k1_relat_1(U_8587))
| ~ sP1515(U_8588,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8590,U_8587,U_8591,U_8589] :
( m2_subset_1(sK994(U_8591,U_8590,U_8589,U_8588,U_8587),k1_numbers,k5_numbers)
| ~ sP1515(U_8588,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8585,U_8590,U_8587,U_8591,U_8589] :
( k1_funct_1(U_8587,U_8585) = k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585)),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585))
| ~ r2_hidden(U_8585,k1_relat_1(U_8587))
| ~ m2_subset_1(U_8585,k1_numbers,k5_numbers)
| ~ sP1514(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8585,U_8590,U_8587,U_8591,U_8589] :
( k3_finseq_1(U_8587) = k3_finseq_1(U_8589)
| ~ sP1514(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8585,U_8590,U_8587,U_8591,U_8589] :
( U_8587 = k4_rmod_4(U_8591,U_8590,U_8589,U_8588)
| sP1515(U_8588,U_8590,U_8587,U_8591,U_8589)
| k3_finseq_1(U_8587) != k3_finseq_1(U_8589)
| ~ sP1516(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8585,U_8590,U_8587,U_8591,U_8589] :
( sP1514(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589)
| U_8587 != k4_rmod_4(U_8591,U_8590,U_8589,U_8588)
| ~ sP1516(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) )
& ! [U_8588,U_8585,U_8590,U_8587,U_8591,U_8589] :
( sP1516(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589)
| ~ m2_finseq_1(U_8587,u1_struct_0(U_8590))
| ~ m2_relset_1(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_2(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_1(U_8588)
| ~ m2_finseq_1(U_8589,u1_struct_0(U_8590))
| ~ l1_vectsp_2(U_8590,U_8591)
| ~ v5_vectsp_2(U_8590,U_8591)
| ~ v6_rlvect_1(U_8590)
| ~ v5_rlvect_1(U_8590)
| ~ v4_rlvect_1(U_8590)
| ~ v3_rlvect_1(U_8590)
| v3_struct_0(U_8590)
| ~ l3_vectsp_1(U_8591)
| ~ v8_vectsp_1(U_8591)
| ~ v7_vectsp_1(U_8591)
| ~ v6_vectsp_1(U_8591)
| ~ v4_group_1(U_8591)
| ~ v6_rlvect_1(U_8591)
| ~ v5_rlvect_1(U_8591)
| ~ v4_rlvect_1(U_8591)
| ~ v3_rlvect_1(U_8591)
| v3_struct_0(U_8591) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1514,sP1515,sP1516])],[f_3364_3]) ).
cnf(f_3364_5,plain,
( sP1516(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589)
| ~ m2_finseq_1(U_8587,u1_struct_0(U_8590))
| ~ m2_relset_1(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_2(U_8588,u1_struct_0(U_8590),u1_struct_0(U_8591))
| ~ v1_funct_1(U_8588)
| ~ m2_finseq_1(U_8589,u1_struct_0(U_8590))
| ~ l1_vectsp_2(U_8590,U_8591)
| ~ v5_vectsp_2(U_8590,U_8591)
| ~ v6_rlvect_1(U_8590)
| ~ v5_rlvect_1(U_8590)
| ~ v4_rlvect_1(U_8590)
| ~ v3_rlvect_1(U_8590)
| v3_struct_0(U_8590)
| ~ l3_vectsp_1(U_8591)
| ~ v8_vectsp_1(U_8591)
| ~ v7_vectsp_1(U_8591)
| ~ v6_vectsp_1(U_8591)
| ~ v4_group_1(U_8591)
| ~ v6_rlvect_1(U_8591)
| ~ v5_rlvect_1(U_8591)
| ~ v4_rlvect_1(U_8591)
| ~ v3_rlvect_1(U_8591)
| v3_struct_0(U_8591) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_6,plain,
( sP1514(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589)
| U_8587 != k4_rmod_4(U_8591,U_8590,U_8589,U_8588)
| ~ sP1516(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_7,plain,
( U_8587 = k4_rmod_4(U_8591,U_8590,U_8589,U_8588)
| sP1515(U_8588,U_8590,U_8587,U_8591,U_8589)
| k3_finseq_1(U_8587) != k3_finseq_1(U_8589)
| ~ sP1516(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_8,plain,
( k3_finseq_1(U_8587) = k3_finseq_1(U_8589)
| ~ sP1514(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_9,plain,
( k1_funct_1(U_8587,U_8585) = k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585)),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,U_8585))
| ~ r2_hidden(U_8585,k1_relat_1(U_8587))
| ~ m2_subset_1(U_8585,k1_numbers,k5_numbers)
| ~ sP1514(U_8588,U_8585,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_10,plain,
( m2_subset_1(sK994(U_8591,U_8590,U_8589,U_8588,U_8587),k1_numbers,k5_numbers)
| ~ sP1515(U_8588,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_11,plain,
( r2_hidden(sK994(U_8591,U_8590,U_8589,U_8588,U_8587),k1_relat_1(U_8587))
| ~ sP1515(U_8588,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
cnf(f_3364_12,plain,
( k1_funct_1(U_8587,sK994(U_8591,U_8590,U_8589,U_8588,U_8587)) != k6_vectsp_2(U_8591,U_8590,k8_funct_2(u1_struct_0(U_8590),u1_struct_0(U_8591),U_8588,k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,sK994(U_8591,U_8590,U_8589,U_8588,U_8587))),k4_finseq_4(k5_numbers,u1_struct_0(U_8590),U_8589,sK994(U_8591,U_8590,U_8589,U_8588,U_8587)))
| ~ sP1515(U_8588,U_8590,U_8587,U_8591,U_8589) ),
inference(clausify,[status(thm)],[f_3364_4]) ).
fof(f_3365_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t29_rmod_4]) ).
fof(f_3365_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3365_1]) ).
cnf(f_3365_3,plain,
$true,
inference(clausify,[status(thm)],[f_3365_2]) ).
fof(f_3366_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t30_rmod_4]) ).
fof(f_3366_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3366_1]) ).
cnf(f_3366_3,plain,
$true,
inference(clausify,[status(thm)],[f_3366_2]) ).
fof(f_3367_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t31_rmod_4]) ).
fof(f_3367_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3367_1]) ).
cnf(f_3367_3,plain,
$true,
inference(clausify,[status(thm)],[f_3367_2]) ).
fof(f_3368_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k1_funct_1(k4_rmod_4(A,B,E,F),C) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D)
| D != k1_funct_1(E,C)
| ~ r2_hidden(C,k1_relat_1(E))
| ~ m2_relset_1(F,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(F,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(F) )
| ~ m2_finseq_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m2_subset_1(C,k1_numbers,k5_numbers) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t32_rmod_4]) ).
fof(f_3368_2,plain,
! [U_8597] :
( ! [U_8596] :
( ! [U_8595] :
( ! [U_8594] :
( ! [U_8593] :
( ! [U_8592] :
( k1_funct_1(k4_rmod_4(U_8597,U_8596,U_8593,U_8592),U_8595) = k6_vectsp_2(U_8597,U_8596,k8_funct_2(u1_struct_0(U_8596),u1_struct_0(U_8597),U_8592,U_8594),U_8594)
| U_8594 != k1_funct_1(U_8593,U_8595)
| ~ r2_hidden(U_8595,k1_relat_1(U_8593))
| ~ m2_relset_1(U_8592,u1_struct_0(U_8596),u1_struct_0(U_8597))
| ~ v1_funct_2(U_8592,u1_struct_0(U_8596),u1_struct_0(U_8597))
| ~ v1_funct_1(U_8592) )
| ~ m2_finseq_1(U_8593,u1_struct_0(U_8596)) )
| ~ m1_subset_1(U_8594,u1_struct_0(U_8596)) )
| ~ m2_subset_1(U_8595,k1_numbers,k5_numbers) )
| ~ l1_vectsp_2(U_8596,U_8597)
| ~ v5_vectsp_2(U_8596,U_8597)
| ~ v6_rlvect_1(U_8596)
| ~ v5_rlvect_1(U_8596)
| ~ v4_rlvect_1(U_8596)
| ~ v3_rlvect_1(U_8596)
| v3_struct_0(U_8596) )
| ~ l3_vectsp_1(U_8597)
| ~ v8_vectsp_1(U_8597)
| ~ v7_vectsp_1(U_8597)
| ~ v6_vectsp_1(U_8597)
| ~ v4_group_1(U_8597)
| ~ v6_rlvect_1(U_8597)
| ~ v5_rlvect_1(U_8597)
| ~ v4_rlvect_1(U_8597)
| ~ v3_rlvect_1(U_8597)
| v3_struct_0(U_8597) ),
inference(variable_rename,[status(thm)],[f_3368_1]) ).
fof(f_3368_3,plain,
! [U_8592,U_8596,U_8597,U_8593,U_8594,U_8595] :
( k1_funct_1(k4_rmod_4(U_8597,U_8596,U_8593,U_8592),U_8595) = k6_vectsp_2(U_8597,U_8596,k8_funct_2(u1_struct_0(U_8596),u1_struct_0(U_8597),U_8592,U_8594),U_8594)
| U_8594 != k1_funct_1(U_8593,U_8595)
| ~ r2_hidden(U_8595,k1_relat_1(U_8593))
| ~ m2_relset_1(U_8592,u1_struct_0(U_8596),u1_struct_0(U_8597))
| ~ v1_funct_2(U_8592,u1_struct_0(U_8596),u1_struct_0(U_8597))
| ~ v1_funct_1(U_8592)
| ~ m2_finseq_1(U_8593,u1_struct_0(U_8596))
| ~ m1_subset_1(U_8594,u1_struct_0(U_8596))
| ~ m2_subset_1(U_8595,k1_numbers,k5_numbers)
| ~ l1_vectsp_2(U_8596,U_8597)
| ~ v5_vectsp_2(U_8596,U_8597)
| ~ v6_rlvect_1(U_8596)
| ~ v5_rlvect_1(U_8596)
| ~ v4_rlvect_1(U_8596)
| ~ v3_rlvect_1(U_8596)
| v3_struct_0(U_8596)
| ~ l3_vectsp_1(U_8597)
| ~ v8_vectsp_1(U_8597)
| ~ v7_vectsp_1(U_8597)
| ~ v6_vectsp_1(U_8597)
| ~ v4_group_1(U_8597)
| ~ v6_rlvect_1(U_8597)
| ~ v5_rlvect_1(U_8597)
| ~ v4_rlvect_1(U_8597)
| ~ v3_rlvect_1(U_8597)
| v3_struct_0(U_8597) ),
inference(definitional_conversion,[status(esa)],[f_3368_2]) ).
cnf(f_3368_4,plain,
( k1_funct_1(k4_rmod_4(U_8597,U_8596,U_8593,U_8592),U_8595) = k6_vectsp_2(U_8597,U_8596,k8_funct_2(u1_struct_0(U_8596),u1_struct_0(U_8597),U_8592,U_8594),U_8594)
| U_8594 != k1_funct_1(U_8593,U_8595)
| ~ r2_hidden(U_8595,k1_relat_1(U_8593))
| ~ m2_relset_1(U_8592,u1_struct_0(U_8596),u1_struct_0(U_8597))
| ~ v1_funct_2(U_8592,u1_struct_0(U_8596),u1_struct_0(U_8597))
| ~ v1_funct_1(U_8592)
| ~ m2_finseq_1(U_8593,u1_struct_0(U_8596))
| ~ m1_subset_1(U_8594,u1_struct_0(U_8596))
| ~ m2_subset_1(U_8595,k1_numbers,k5_numbers)
| ~ l1_vectsp_2(U_8596,U_8597)
| ~ v5_vectsp_2(U_8596,U_8597)
| ~ v6_rlvect_1(U_8596)
| ~ v5_rlvect_1(U_8596)
| ~ v4_rlvect_1(U_8596)
| ~ v3_rlvect_1(U_8596)
| v3_struct_0(U_8596)
| ~ l3_vectsp_1(U_8597)
| ~ v8_vectsp_1(U_8597)
| ~ v7_vectsp_1(U_8597)
| ~ v6_vectsp_1(U_8597)
| ~ v4_group_1(U_8597)
| ~ v6_rlvect_1(U_8597)
| ~ v5_rlvect_1(U_8597)
| ~ v4_rlvect_1(U_8597)
| ~ v3_rlvect_1(U_8597)
| v3_struct_0(U_8597) ),
inference(clausify,[status(thm)],[f_3368_3]) ).
fof(f_3369_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k4_rmod_4(A,B,k6_finseq_1(u1_struct_0(B)),C) = k6_finseq_1(u1_struct_0(B))
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(C) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t33_rmod_4]) ).
fof(f_3369_2,plain,
! [U_8600] :
( ! [U_8599] :
( ! [U_8598] :
( k4_rmod_4(U_8600,U_8599,k6_finseq_1(u1_struct_0(U_8599)),U_8598) = k6_finseq_1(u1_struct_0(U_8599))
| ~ m2_relset_1(U_8598,u1_struct_0(U_8599),u1_struct_0(U_8600))
| ~ v1_funct_2(U_8598,u1_struct_0(U_8599),u1_struct_0(U_8600))
| ~ v1_funct_1(U_8598) )
| ~ l1_vectsp_2(U_8599,U_8600)
| ~ v5_vectsp_2(U_8599,U_8600)
| ~ v6_rlvect_1(U_8599)
| ~ v5_rlvect_1(U_8599)
| ~ v4_rlvect_1(U_8599)
| ~ v3_rlvect_1(U_8599)
| v3_struct_0(U_8599) )
| ~ l3_vectsp_1(U_8600)
| ~ v8_vectsp_1(U_8600)
| ~ v7_vectsp_1(U_8600)
| ~ v6_vectsp_1(U_8600)
| ~ v4_group_1(U_8600)
| ~ v6_rlvect_1(U_8600)
| ~ v5_rlvect_1(U_8600)
| ~ v4_rlvect_1(U_8600)
| ~ v3_rlvect_1(U_8600)
| v3_struct_0(U_8600) ),
inference(variable_rename,[status(thm)],[f_3369_1]) ).
fof(f_3369_3,plain,
! [U_8600,U_8599,U_8598] :
( k4_rmod_4(U_8600,U_8599,k6_finseq_1(u1_struct_0(U_8599)),U_8598) = k6_finseq_1(u1_struct_0(U_8599))
| ~ m2_relset_1(U_8598,u1_struct_0(U_8599),u1_struct_0(U_8600))
| ~ v1_funct_2(U_8598,u1_struct_0(U_8599),u1_struct_0(U_8600))
| ~ v1_funct_1(U_8598)
| ~ l1_vectsp_2(U_8599,U_8600)
| ~ v5_vectsp_2(U_8599,U_8600)
| ~ v6_rlvect_1(U_8599)
| ~ v5_rlvect_1(U_8599)
| ~ v4_rlvect_1(U_8599)
| ~ v3_rlvect_1(U_8599)
| v3_struct_0(U_8599)
| ~ l3_vectsp_1(U_8600)
| ~ v8_vectsp_1(U_8600)
| ~ v7_vectsp_1(U_8600)
| ~ v6_vectsp_1(U_8600)
| ~ v4_group_1(U_8600)
| ~ v6_rlvect_1(U_8600)
| ~ v5_rlvect_1(U_8600)
| ~ v4_rlvect_1(U_8600)
| ~ v3_rlvect_1(U_8600)
| v3_struct_0(U_8600) ),
inference(definitional_conversion,[status(esa)],[f_3369_2]) ).
cnf(f_3369_4,plain,
( k4_rmod_4(U_8600,U_8599,k6_finseq_1(u1_struct_0(U_8599)),U_8598) = k6_finseq_1(u1_struct_0(U_8599))
| ~ m2_relset_1(U_8598,u1_struct_0(U_8599),u1_struct_0(U_8600))
| ~ v1_funct_2(U_8598,u1_struct_0(U_8599),u1_struct_0(U_8600))
| ~ v1_funct_1(U_8598)
| ~ l1_vectsp_2(U_8599,U_8600)
| ~ v5_vectsp_2(U_8599,U_8600)
| ~ v6_rlvect_1(U_8599)
| ~ v5_rlvect_1(U_8599)
| ~ v4_rlvect_1(U_8599)
| ~ v3_rlvect_1(U_8599)
| v3_struct_0(U_8599)
| ~ l3_vectsp_1(U_8600)
| ~ v8_vectsp_1(U_8600)
| ~ v7_vectsp_1(U_8600)
| ~ v6_vectsp_1(U_8600)
| ~ v4_group_1(U_8600)
| ~ v6_rlvect_1(U_8600)
| ~ v5_rlvect_1(U_8600)
| ~ v4_rlvect_1(U_8600)
| ~ v3_rlvect_1(U_8600)
| v3_struct_0(U_8600) ),
inference(clausify,[status(thm)],[f_3369_3]) ).
fof(f_3370_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k4_rmod_4(A,B,k12_finseq_1(u1_struct_0(B),C),D) = k12_finseq_1(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C))
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t34_rmod_4]) ).
fof(f_3370_2,plain,
! [U_8604] :
( ! [U_8603] :
( ! [U_8602] :
( ! [U_8601] :
( k4_rmod_4(U_8604,U_8603,k12_finseq_1(u1_struct_0(U_8603),U_8602),U_8601) = k12_finseq_1(u1_struct_0(U_8603),k6_vectsp_2(U_8604,U_8603,k8_funct_2(u1_struct_0(U_8603),u1_struct_0(U_8604),U_8601,U_8602),U_8602))
| ~ m2_relset_1(U_8601,u1_struct_0(U_8603),u1_struct_0(U_8604))
| ~ v1_funct_2(U_8601,u1_struct_0(U_8603),u1_struct_0(U_8604))
| ~ v1_funct_1(U_8601) )
| ~ m1_subset_1(U_8602,u1_struct_0(U_8603)) )
| ~ l1_vectsp_2(U_8603,U_8604)
| ~ v5_vectsp_2(U_8603,U_8604)
| ~ v6_rlvect_1(U_8603)
| ~ v5_rlvect_1(U_8603)
| ~ v4_rlvect_1(U_8603)
| ~ v3_rlvect_1(U_8603)
| v3_struct_0(U_8603) )
| ~ l3_vectsp_1(U_8604)
| ~ v8_vectsp_1(U_8604)
| ~ v7_vectsp_1(U_8604)
| ~ v6_vectsp_1(U_8604)
| ~ v4_group_1(U_8604)
| ~ v6_rlvect_1(U_8604)
| ~ v5_rlvect_1(U_8604)
| ~ v4_rlvect_1(U_8604)
| ~ v3_rlvect_1(U_8604)
| v3_struct_0(U_8604) ),
inference(variable_rename,[status(thm)],[f_3370_1]) ).
fof(f_3370_3,plain,
! [U_8602,U_8601,U_8604,U_8603] :
( k4_rmod_4(U_8604,U_8603,k12_finseq_1(u1_struct_0(U_8603),U_8602),U_8601) = k12_finseq_1(u1_struct_0(U_8603),k6_vectsp_2(U_8604,U_8603,k8_funct_2(u1_struct_0(U_8603),u1_struct_0(U_8604),U_8601,U_8602),U_8602))
| ~ m2_relset_1(U_8601,u1_struct_0(U_8603),u1_struct_0(U_8604))
| ~ v1_funct_2(U_8601,u1_struct_0(U_8603),u1_struct_0(U_8604))
| ~ v1_funct_1(U_8601)
| ~ m1_subset_1(U_8602,u1_struct_0(U_8603))
| ~ l1_vectsp_2(U_8603,U_8604)
| ~ v5_vectsp_2(U_8603,U_8604)
| ~ v6_rlvect_1(U_8603)
| ~ v5_rlvect_1(U_8603)
| ~ v4_rlvect_1(U_8603)
| ~ v3_rlvect_1(U_8603)
| v3_struct_0(U_8603)
| ~ l3_vectsp_1(U_8604)
| ~ v8_vectsp_1(U_8604)
| ~ v7_vectsp_1(U_8604)
| ~ v6_vectsp_1(U_8604)
| ~ v4_group_1(U_8604)
| ~ v6_rlvect_1(U_8604)
| ~ v5_rlvect_1(U_8604)
| ~ v4_rlvect_1(U_8604)
| ~ v3_rlvect_1(U_8604)
| v3_struct_0(U_8604) ),
inference(definitional_conversion,[status(esa)],[f_3370_2]) ).
cnf(f_3370_4,plain,
( k4_rmod_4(U_8604,U_8603,k12_finseq_1(u1_struct_0(U_8603),U_8602),U_8601) = k12_finseq_1(u1_struct_0(U_8603),k6_vectsp_2(U_8604,U_8603,k8_funct_2(u1_struct_0(U_8603),u1_struct_0(U_8604),U_8601,U_8602),U_8602))
| ~ m2_relset_1(U_8601,u1_struct_0(U_8603),u1_struct_0(U_8604))
| ~ v1_funct_2(U_8601,u1_struct_0(U_8603),u1_struct_0(U_8604))
| ~ v1_funct_1(U_8601)
| ~ m1_subset_1(U_8602,u1_struct_0(U_8603))
| ~ l1_vectsp_2(U_8603,U_8604)
| ~ v5_vectsp_2(U_8603,U_8604)
| ~ v6_rlvect_1(U_8603)
| ~ v5_rlvect_1(U_8603)
| ~ v4_rlvect_1(U_8603)
| ~ v3_rlvect_1(U_8603)
| v3_struct_0(U_8603)
| ~ l3_vectsp_1(U_8604)
| ~ v8_vectsp_1(U_8604)
| ~ v7_vectsp_1(U_8604)
| ~ v6_vectsp_1(U_8604)
| ~ v4_group_1(U_8604)
| ~ v6_rlvect_1(U_8604)
| ~ v5_rlvect_1(U_8604)
| ~ v4_rlvect_1(U_8604)
| ~ v3_rlvect_1(U_8604)
| v3_struct_0(U_8604) ),
inference(clausify,[status(thm)],[f_3370_3]) ).
fof(f_3371_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k4_rmod_4(A,B,k2_finseq_4(u1_struct_0(B),C,D),E) = k2_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D))
| ~ m2_relset_1(E,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(E,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(E) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t35_rmod_4]) ).
fof(f_3371_2,plain,
! [U_8609] :
( ! [U_8608] :
( ! [U_8607] :
( ! [U_8606] :
( ! [U_8605] :
( k4_rmod_4(U_8609,U_8608,k2_finseq_4(u1_struct_0(U_8608),U_8607,U_8606),U_8605) = k2_finseq_4(u1_struct_0(U_8608),k6_vectsp_2(U_8609,U_8608,k8_funct_2(u1_struct_0(U_8608),u1_struct_0(U_8609),U_8605,U_8607),U_8607),k6_vectsp_2(U_8609,U_8608,k8_funct_2(u1_struct_0(U_8608),u1_struct_0(U_8609),U_8605,U_8606),U_8606))
| ~ m2_relset_1(U_8605,u1_struct_0(U_8608),u1_struct_0(U_8609))
| ~ v1_funct_2(U_8605,u1_struct_0(U_8608),u1_struct_0(U_8609))
| ~ v1_funct_1(U_8605) )
| ~ m1_subset_1(U_8606,u1_struct_0(U_8608)) )
| ~ m1_subset_1(U_8607,u1_struct_0(U_8608)) )
| ~ l1_vectsp_2(U_8608,U_8609)
| ~ v5_vectsp_2(U_8608,U_8609)
| ~ v6_rlvect_1(U_8608)
| ~ v5_rlvect_1(U_8608)
| ~ v4_rlvect_1(U_8608)
| ~ v3_rlvect_1(U_8608)
| v3_struct_0(U_8608) )
| ~ l3_vectsp_1(U_8609)
| ~ v8_vectsp_1(U_8609)
| ~ v7_vectsp_1(U_8609)
| ~ v6_vectsp_1(U_8609)
| ~ v4_group_1(U_8609)
| ~ v6_rlvect_1(U_8609)
| ~ v5_rlvect_1(U_8609)
| ~ v4_rlvect_1(U_8609)
| ~ v3_rlvect_1(U_8609)
| v3_struct_0(U_8609) ),
inference(variable_rename,[status(thm)],[f_3371_1]) ).
fof(f_3371_3,plain,
! [U_8608,U_8607,U_8605,U_8609,U_8606] :
( k4_rmod_4(U_8609,U_8608,k2_finseq_4(u1_struct_0(U_8608),U_8607,U_8606),U_8605) = k2_finseq_4(u1_struct_0(U_8608),k6_vectsp_2(U_8609,U_8608,k8_funct_2(u1_struct_0(U_8608),u1_struct_0(U_8609),U_8605,U_8607),U_8607),k6_vectsp_2(U_8609,U_8608,k8_funct_2(u1_struct_0(U_8608),u1_struct_0(U_8609),U_8605,U_8606),U_8606))
| ~ m2_relset_1(U_8605,u1_struct_0(U_8608),u1_struct_0(U_8609))
| ~ v1_funct_2(U_8605,u1_struct_0(U_8608),u1_struct_0(U_8609))
| ~ v1_funct_1(U_8605)
| ~ m1_subset_1(U_8606,u1_struct_0(U_8608))
| ~ m1_subset_1(U_8607,u1_struct_0(U_8608))
| ~ l1_vectsp_2(U_8608,U_8609)
| ~ v5_vectsp_2(U_8608,U_8609)
| ~ v6_rlvect_1(U_8608)
| ~ v5_rlvect_1(U_8608)
| ~ v4_rlvect_1(U_8608)
| ~ v3_rlvect_1(U_8608)
| v3_struct_0(U_8608)
| ~ l3_vectsp_1(U_8609)
| ~ v8_vectsp_1(U_8609)
| ~ v7_vectsp_1(U_8609)
| ~ v6_vectsp_1(U_8609)
| ~ v4_group_1(U_8609)
| ~ v6_rlvect_1(U_8609)
| ~ v5_rlvect_1(U_8609)
| ~ v4_rlvect_1(U_8609)
| ~ v3_rlvect_1(U_8609)
| v3_struct_0(U_8609) ),
inference(definitional_conversion,[status(esa)],[f_3371_2]) ).
cnf(f_3371_4,plain,
( k4_rmod_4(U_8609,U_8608,k2_finseq_4(u1_struct_0(U_8608),U_8607,U_8606),U_8605) = k2_finseq_4(u1_struct_0(U_8608),k6_vectsp_2(U_8609,U_8608,k8_funct_2(u1_struct_0(U_8608),u1_struct_0(U_8609),U_8605,U_8607),U_8607),k6_vectsp_2(U_8609,U_8608,k8_funct_2(u1_struct_0(U_8608),u1_struct_0(U_8609),U_8605,U_8606),U_8606))
| ~ m2_relset_1(U_8605,u1_struct_0(U_8608),u1_struct_0(U_8609))
| ~ v1_funct_2(U_8605,u1_struct_0(U_8608),u1_struct_0(U_8609))
| ~ v1_funct_1(U_8605)
| ~ m1_subset_1(U_8606,u1_struct_0(U_8608))
| ~ m1_subset_1(U_8607,u1_struct_0(U_8608))
| ~ l1_vectsp_2(U_8608,U_8609)
| ~ v5_vectsp_2(U_8608,U_8609)
| ~ v6_rlvect_1(U_8608)
| ~ v5_rlvect_1(U_8608)
| ~ v4_rlvect_1(U_8608)
| ~ v3_rlvect_1(U_8608)
| v3_struct_0(U_8608)
| ~ l3_vectsp_1(U_8609)
| ~ v8_vectsp_1(U_8609)
| ~ v7_vectsp_1(U_8609)
| ~ v6_vectsp_1(U_8609)
| ~ v4_group_1(U_8609)
| ~ v6_rlvect_1(U_8609)
| ~ v5_rlvect_1(U_8609)
| ~ v4_rlvect_1(U_8609)
| ~ v3_rlvect_1(U_8609)
| v3_struct_0(U_8609) ),
inference(clausify,[status(thm)],[f_3371_3]) ).
fof(f_3372_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ! [F] :
( k4_rmod_4(A,B,k3_finseq_4(u1_struct_0(B),C,D,E),F) = k3_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,E),E))
| ~ m2_relset_1(F,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(F,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(F) )
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t36_rmod_4]) ).
fof(f_3372_2,plain,
! [U_8615] :
( ! [U_8614] :
( ! [U_8613] :
( ! [U_8612] :
( ! [U_8611] :
( ! [U_8610] :
( k4_rmod_4(U_8615,U_8614,k3_finseq_4(u1_struct_0(U_8614),U_8613,U_8612,U_8611),U_8610) = k3_finseq_4(u1_struct_0(U_8614),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8613),U_8613),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8612),U_8612),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8611),U_8611))
| ~ m2_relset_1(U_8610,u1_struct_0(U_8614),u1_struct_0(U_8615))
| ~ v1_funct_2(U_8610,u1_struct_0(U_8614),u1_struct_0(U_8615))
| ~ v1_funct_1(U_8610) )
| ~ m1_subset_1(U_8611,u1_struct_0(U_8614)) )
| ~ m1_subset_1(U_8612,u1_struct_0(U_8614)) )
| ~ m1_subset_1(U_8613,u1_struct_0(U_8614)) )
| ~ l1_vectsp_2(U_8614,U_8615)
| ~ v5_vectsp_2(U_8614,U_8615)
| ~ v6_rlvect_1(U_8614)
| ~ v5_rlvect_1(U_8614)
| ~ v4_rlvect_1(U_8614)
| ~ v3_rlvect_1(U_8614)
| v3_struct_0(U_8614) )
| ~ l3_vectsp_1(U_8615)
| ~ v8_vectsp_1(U_8615)
| ~ v7_vectsp_1(U_8615)
| ~ v6_vectsp_1(U_8615)
| ~ v4_group_1(U_8615)
| ~ v6_rlvect_1(U_8615)
| ~ v5_rlvect_1(U_8615)
| ~ v4_rlvect_1(U_8615)
| ~ v3_rlvect_1(U_8615)
| v3_struct_0(U_8615) ),
inference(variable_rename,[status(thm)],[f_3372_1]) ).
fof(f_3372_3,plain,
! [U_8614,U_8613,U_8615,U_8610,U_8612,U_8611] :
( k4_rmod_4(U_8615,U_8614,k3_finseq_4(u1_struct_0(U_8614),U_8613,U_8612,U_8611),U_8610) = k3_finseq_4(u1_struct_0(U_8614),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8613),U_8613),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8612),U_8612),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8611),U_8611))
| ~ m2_relset_1(U_8610,u1_struct_0(U_8614),u1_struct_0(U_8615))
| ~ v1_funct_2(U_8610,u1_struct_0(U_8614),u1_struct_0(U_8615))
| ~ v1_funct_1(U_8610)
| ~ m1_subset_1(U_8611,u1_struct_0(U_8614))
| ~ m1_subset_1(U_8612,u1_struct_0(U_8614))
| ~ m1_subset_1(U_8613,u1_struct_0(U_8614))
| ~ l1_vectsp_2(U_8614,U_8615)
| ~ v5_vectsp_2(U_8614,U_8615)
| ~ v6_rlvect_1(U_8614)
| ~ v5_rlvect_1(U_8614)
| ~ v4_rlvect_1(U_8614)
| ~ v3_rlvect_1(U_8614)
| v3_struct_0(U_8614)
| ~ l3_vectsp_1(U_8615)
| ~ v8_vectsp_1(U_8615)
| ~ v7_vectsp_1(U_8615)
| ~ v6_vectsp_1(U_8615)
| ~ v4_group_1(U_8615)
| ~ v6_rlvect_1(U_8615)
| ~ v5_rlvect_1(U_8615)
| ~ v4_rlvect_1(U_8615)
| ~ v3_rlvect_1(U_8615)
| v3_struct_0(U_8615) ),
inference(definitional_conversion,[status(esa)],[f_3372_2]) ).
cnf(f_3372_4,plain,
( k4_rmod_4(U_8615,U_8614,k3_finseq_4(u1_struct_0(U_8614),U_8613,U_8612,U_8611),U_8610) = k3_finseq_4(u1_struct_0(U_8614),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8613),U_8613),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8612),U_8612),k6_vectsp_2(U_8615,U_8614,k8_funct_2(u1_struct_0(U_8614),u1_struct_0(U_8615),U_8610,U_8611),U_8611))
| ~ m2_relset_1(U_8610,u1_struct_0(U_8614),u1_struct_0(U_8615))
| ~ v1_funct_2(U_8610,u1_struct_0(U_8614),u1_struct_0(U_8615))
| ~ v1_funct_1(U_8610)
| ~ m1_subset_1(U_8611,u1_struct_0(U_8614))
| ~ m1_subset_1(U_8612,u1_struct_0(U_8614))
| ~ m1_subset_1(U_8613,u1_struct_0(U_8614))
| ~ l1_vectsp_2(U_8614,U_8615)
| ~ v5_vectsp_2(U_8614,U_8615)
| ~ v6_rlvect_1(U_8614)
| ~ v5_rlvect_1(U_8614)
| ~ v4_rlvect_1(U_8614)
| ~ v3_rlvect_1(U_8614)
| v3_struct_0(U_8614)
| ~ l3_vectsp_1(U_8615)
| ~ v8_vectsp_1(U_8615)
| ~ v7_vectsp_1(U_8615)
| ~ v6_vectsp_1(U_8615)
| ~ v4_group_1(U_8615)
| ~ v6_rlvect_1(U_8615)
| ~ v5_rlvect_1(U_8615)
| ~ v4_rlvect_1(U_8615)
| ~ v3_rlvect_1(U_8615)
| v3_struct_0(U_8615) ),
inference(clausify,[status(thm)],[f_3372_3]) ).
fof(f_3373_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k4_rmod_4(A,B,k8_finseq_1(u1_struct_0(B),C,D),E) = k8_finseq_1(u1_struct_0(B),k4_rmod_4(A,B,C,E),k4_rmod_4(A,B,D,E))
| ~ m2_relset_1(E,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(E,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(E) )
| ~ m2_finseq_1(D,u1_struct_0(B)) )
| ~ m2_finseq_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t37_rmod_4]) ).
fof(f_3373_2,plain,
! [U_8620] :
( ! [U_8619] :
( ! [U_8618] :
( ! [U_8617] :
( ! [U_8616] :
( k4_rmod_4(U_8620,U_8619,k8_finseq_1(u1_struct_0(U_8619),U_8618,U_8617),U_8616) = k8_finseq_1(u1_struct_0(U_8619),k4_rmod_4(U_8620,U_8619,U_8618,U_8616),k4_rmod_4(U_8620,U_8619,U_8617,U_8616))
| ~ m2_relset_1(U_8616,u1_struct_0(U_8619),u1_struct_0(U_8620))
| ~ v1_funct_2(U_8616,u1_struct_0(U_8619),u1_struct_0(U_8620))
| ~ v1_funct_1(U_8616) )
| ~ m2_finseq_1(U_8617,u1_struct_0(U_8619)) )
| ~ m2_finseq_1(U_8618,u1_struct_0(U_8619)) )
| ~ l1_vectsp_2(U_8619,U_8620)
| ~ v5_vectsp_2(U_8619,U_8620)
| ~ v6_rlvect_1(U_8619)
| ~ v5_rlvect_1(U_8619)
| ~ v4_rlvect_1(U_8619)
| ~ v3_rlvect_1(U_8619)
| v3_struct_0(U_8619) )
| ~ l3_vectsp_1(U_8620)
| ~ v8_vectsp_1(U_8620)
| ~ v7_vectsp_1(U_8620)
| ~ v6_vectsp_1(U_8620)
| ~ v4_group_1(U_8620)
| ~ v6_rlvect_1(U_8620)
| ~ v5_rlvect_1(U_8620)
| ~ v4_rlvect_1(U_8620)
| ~ v3_rlvect_1(U_8620)
| v3_struct_0(U_8620) ),
inference(variable_rename,[status(thm)],[f_3373_1]) ).
fof(f_3373_3,plain,
! [U_8619,U_8617,U_8620,U_8618,U_8616] :
( k4_rmod_4(U_8620,U_8619,k8_finseq_1(u1_struct_0(U_8619),U_8618,U_8617),U_8616) = k8_finseq_1(u1_struct_0(U_8619),k4_rmod_4(U_8620,U_8619,U_8618,U_8616),k4_rmod_4(U_8620,U_8619,U_8617,U_8616))
| ~ m2_relset_1(U_8616,u1_struct_0(U_8619),u1_struct_0(U_8620))
| ~ v1_funct_2(U_8616,u1_struct_0(U_8619),u1_struct_0(U_8620))
| ~ v1_funct_1(U_8616)
| ~ m2_finseq_1(U_8617,u1_struct_0(U_8619))
| ~ m2_finseq_1(U_8618,u1_struct_0(U_8619))
| ~ l1_vectsp_2(U_8619,U_8620)
| ~ v5_vectsp_2(U_8619,U_8620)
| ~ v6_rlvect_1(U_8619)
| ~ v5_rlvect_1(U_8619)
| ~ v4_rlvect_1(U_8619)
| ~ v3_rlvect_1(U_8619)
| v3_struct_0(U_8619)
| ~ l3_vectsp_1(U_8620)
| ~ v8_vectsp_1(U_8620)
| ~ v7_vectsp_1(U_8620)
| ~ v6_vectsp_1(U_8620)
| ~ v4_group_1(U_8620)
| ~ v6_rlvect_1(U_8620)
| ~ v5_rlvect_1(U_8620)
| ~ v4_rlvect_1(U_8620)
| ~ v3_rlvect_1(U_8620)
| v3_struct_0(U_8620) ),
inference(definitional_conversion,[status(esa)],[f_3373_2]) ).
cnf(f_3373_4,plain,
( k4_rmod_4(U_8620,U_8619,k8_finseq_1(u1_struct_0(U_8619),U_8618,U_8617),U_8616) = k8_finseq_1(u1_struct_0(U_8619),k4_rmod_4(U_8620,U_8619,U_8618,U_8616),k4_rmod_4(U_8620,U_8619,U_8617,U_8616))
| ~ m2_relset_1(U_8616,u1_struct_0(U_8619),u1_struct_0(U_8620))
| ~ v1_funct_2(U_8616,u1_struct_0(U_8619),u1_struct_0(U_8620))
| ~ v1_funct_1(U_8616)
| ~ m2_finseq_1(U_8617,u1_struct_0(U_8619))
| ~ m2_finseq_1(U_8618,u1_struct_0(U_8619))
| ~ l1_vectsp_2(U_8619,U_8620)
| ~ v5_vectsp_2(U_8619,U_8620)
| ~ v6_rlvect_1(U_8619)
| ~ v5_rlvect_1(U_8619)
| ~ v4_rlvect_1(U_8619)
| ~ v3_rlvect_1(U_8619)
| v3_struct_0(U_8619)
| ~ l3_vectsp_1(U_8620)
| ~ v8_vectsp_1(U_8620)
| ~ v7_vectsp_1(U_8620)
| ~ v6_vectsp_1(U_8620)
| ~ v4_group_1(U_8620)
| ~ v6_rlvect_1(U_8620)
| ~ v5_rlvect_1(U_8620)
| ~ v4_rlvect_1(U_8620)
| ~ v3_rlvect_1(U_8620)
| v3_struct_0(U_8620) ),
inference(clausify,[status(thm)],[f_3373_3]) ).
fof(f_3374_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k5_rmod_4(A,B,C)
| ! [E] :
( D != k9_rlvect_1(B,k4_rmod_4(A,B,E,C))
| k2_relat_1(E) != k2_rmod_4(A,B,C)
| ~ v2_funct_1(E)
| ~ m2_finseq_1(E,u1_struct_0(B)) ) )
& ( ? [E] :
( D = k9_rlvect_1(B,k4_rmod_4(A,B,E,C))
& k2_relat_1(E) = k2_rmod_4(A,B,C)
& v2_funct_1(E)
& m2_finseq_1(E,u1_struct_0(B)) )
| D != k5_rmod_4(A,B,C) ) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_rmod_4]) ).
fof(f_3374_2,plain,
! [U_8626] :
( ! [U_8625] :
( ! [U_8624] :
( ! [U_8623] :
( ( ( U_8623 = k5_rmod_4(U_8626,U_8625,U_8624)
| ! [U_8622] :
( U_8623 != k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,U_8622,U_8624))
| k2_relat_1(U_8622) != k2_rmod_4(U_8626,U_8625,U_8624)
| ~ v2_funct_1(U_8622)
| ~ m2_finseq_1(U_8622,u1_struct_0(U_8625)) ) )
& ( ? [U_8621] :
( U_8623 = k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,U_8621,U_8624))
& k2_relat_1(U_8621) = k2_rmod_4(U_8626,U_8625,U_8624)
& v2_funct_1(U_8621)
& m2_finseq_1(U_8621,u1_struct_0(U_8625)) )
| U_8623 != k5_rmod_4(U_8626,U_8625,U_8624) ) )
| ~ m1_subset_1(U_8623,u1_struct_0(U_8625)) )
| ~ m1_rmod_4(U_8624,U_8626,U_8625) )
| ~ l1_vectsp_2(U_8625,U_8626)
| ~ v5_vectsp_2(U_8625,U_8626)
| ~ v6_rlvect_1(U_8625)
| ~ v5_rlvect_1(U_8625)
| ~ v4_rlvect_1(U_8625)
| ~ v3_rlvect_1(U_8625)
| v3_struct_0(U_8625) )
| ~ l3_vectsp_1(U_8626)
| ~ v8_vectsp_1(U_8626)
| ~ v7_vectsp_1(U_8626)
| ~ v6_vectsp_1(U_8626)
| ~ v4_group_1(U_8626)
| ~ v6_rlvect_1(U_8626)
| ~ v5_rlvect_1(U_8626)
| ~ v4_rlvect_1(U_8626)
| ~ v3_rlvect_1(U_8626)
| v3_struct_0(U_8626) ),
inference(variable_rename,[status(thm)],[f_3374_1]) ).
fof(f_3374_3,plain,
! [U_8626] :
( ! [U_8625] :
( ! [U_8624] :
( ! [U_8623] :
( ( ( U_8623 = k5_rmod_4(U_8626,U_8625,U_8624)
| ! [U_8622] :
( U_8623 != k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,U_8622,U_8624))
| k2_relat_1(U_8622) != k2_rmod_4(U_8626,U_8625,U_8624)
| ~ v2_funct_1(U_8622)
| ~ m2_finseq_1(U_8622,u1_struct_0(U_8625)) ) )
& ( ( U_8623 = k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,sK995(U_8626,U_8625,U_8624,U_8623),U_8624))
& k2_relat_1(sK995(U_8626,U_8625,U_8624,U_8623)) = k2_rmod_4(U_8626,U_8625,U_8624)
& v2_funct_1(sK995(U_8626,U_8625,U_8624,U_8623))
& m2_finseq_1(sK995(U_8626,U_8625,U_8624,U_8623),u1_struct_0(U_8625)) )
| U_8623 != k5_rmod_4(U_8626,U_8625,U_8624) ) )
| ~ m1_subset_1(U_8623,u1_struct_0(U_8625)) )
| ~ m1_rmod_4(U_8624,U_8626,U_8625) )
| ~ l1_vectsp_2(U_8625,U_8626)
| ~ v5_vectsp_2(U_8625,U_8626)
| ~ v6_rlvect_1(U_8625)
| ~ v5_rlvect_1(U_8625)
| ~ v4_rlvect_1(U_8625)
| ~ v3_rlvect_1(U_8625)
| v3_struct_0(U_8625) )
| ~ l3_vectsp_1(U_8626)
| ~ v8_vectsp_1(U_8626)
| ~ v7_vectsp_1(U_8626)
| ~ v6_vectsp_1(U_8626)
| ~ v4_group_1(U_8626)
| ~ v6_rlvect_1(U_8626)
| ~ v5_rlvect_1(U_8626)
| ~ v4_rlvect_1(U_8626)
| ~ v3_rlvect_1(U_8626)
| v3_struct_0(U_8626) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK995]),skolemize(U_8621,sK995(U_8626,U_8625,U_8624,U_8623))],[f_3374_2]) ).
fof(f_3374_4,plain,
( ! [U_8625,U_8626,U_8623,U_8624] :
( U_8623 = k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,sK995(U_8626,U_8625,U_8624,U_8623),U_8624))
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) )
& ! [U_8625,U_8626,U_8623,U_8624] :
( k2_relat_1(sK995(U_8626,U_8625,U_8624,U_8623)) = k2_rmod_4(U_8626,U_8625,U_8624)
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) )
& ! [U_8625,U_8626,U_8623,U_8624] :
( v2_funct_1(sK995(U_8626,U_8625,U_8624,U_8623))
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) )
& ! [U_8625,U_8626,U_8623,U_8624] :
( m2_finseq_1(sK995(U_8626,U_8625,U_8624,U_8623),u1_struct_0(U_8625))
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) )
& ! [U_8625,U_8626,U_8623,U_8624,U_8622] :
( U_8623 = k5_rmod_4(U_8626,U_8625,U_8624)
| U_8623 != k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,U_8622,U_8624))
| k2_relat_1(U_8622) != k2_rmod_4(U_8626,U_8625,U_8624)
| ~ v2_funct_1(U_8622)
| ~ m2_finseq_1(U_8622,u1_struct_0(U_8625))
| ~ sP1518(U_8625,U_8626,U_8623,U_8624,U_8622) )
& ! [U_8625,U_8626,U_8623,U_8624,U_8622] :
( sP1517(U_8625,U_8626,U_8623,U_8624)
| U_8623 != k5_rmod_4(U_8626,U_8625,U_8624)
| ~ sP1518(U_8625,U_8626,U_8623,U_8624,U_8622) )
& ! [U_8625,U_8626,U_8623,U_8624,U_8622] :
( sP1518(U_8625,U_8626,U_8623,U_8624,U_8622)
| ~ m1_subset_1(U_8623,u1_struct_0(U_8625))
| ~ m1_rmod_4(U_8624,U_8626,U_8625)
| ~ l1_vectsp_2(U_8625,U_8626)
| ~ v5_vectsp_2(U_8625,U_8626)
| ~ v6_rlvect_1(U_8625)
| ~ v5_rlvect_1(U_8625)
| ~ v4_rlvect_1(U_8625)
| ~ v3_rlvect_1(U_8625)
| v3_struct_0(U_8625)
| ~ l3_vectsp_1(U_8626)
| ~ v8_vectsp_1(U_8626)
| ~ v7_vectsp_1(U_8626)
| ~ v6_vectsp_1(U_8626)
| ~ v4_group_1(U_8626)
| ~ v6_rlvect_1(U_8626)
| ~ v5_rlvect_1(U_8626)
| ~ v4_rlvect_1(U_8626)
| ~ v3_rlvect_1(U_8626)
| v3_struct_0(U_8626) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1517,sP1518])],[f_3374_3]) ).
cnf(f_3374_5,plain,
( sP1518(U_8625,U_8626,U_8623,U_8624,U_8622)
| ~ m1_subset_1(U_8623,u1_struct_0(U_8625))
| ~ m1_rmod_4(U_8624,U_8626,U_8625)
| ~ l1_vectsp_2(U_8625,U_8626)
| ~ v5_vectsp_2(U_8625,U_8626)
| ~ v6_rlvect_1(U_8625)
| ~ v5_rlvect_1(U_8625)
| ~ v4_rlvect_1(U_8625)
| ~ v3_rlvect_1(U_8625)
| v3_struct_0(U_8625)
| ~ l3_vectsp_1(U_8626)
| ~ v8_vectsp_1(U_8626)
| ~ v7_vectsp_1(U_8626)
| ~ v6_vectsp_1(U_8626)
| ~ v4_group_1(U_8626)
| ~ v6_rlvect_1(U_8626)
| ~ v5_rlvect_1(U_8626)
| ~ v4_rlvect_1(U_8626)
| ~ v3_rlvect_1(U_8626)
| v3_struct_0(U_8626) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
cnf(f_3374_6,plain,
( sP1517(U_8625,U_8626,U_8623,U_8624)
| U_8623 != k5_rmod_4(U_8626,U_8625,U_8624)
| ~ sP1518(U_8625,U_8626,U_8623,U_8624,U_8622) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
cnf(f_3374_7,plain,
( U_8623 = k5_rmod_4(U_8626,U_8625,U_8624)
| U_8623 != k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,U_8622,U_8624))
| k2_relat_1(U_8622) != k2_rmod_4(U_8626,U_8625,U_8624)
| ~ v2_funct_1(U_8622)
| ~ m2_finseq_1(U_8622,u1_struct_0(U_8625))
| ~ sP1518(U_8625,U_8626,U_8623,U_8624,U_8622) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
cnf(f_3374_8,plain,
( m2_finseq_1(sK995(U_8626,U_8625,U_8624,U_8623),u1_struct_0(U_8625))
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
cnf(f_3374_9,plain,
( v2_funct_1(sK995(U_8626,U_8625,U_8624,U_8623))
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
cnf(f_3374_10,plain,
( k2_relat_1(sK995(U_8626,U_8625,U_8624,U_8623)) = k2_rmod_4(U_8626,U_8625,U_8624)
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
cnf(f_3374_11,plain,
( U_8623 = k9_rlvect_1(U_8625,k4_rmod_4(U_8626,U_8625,sK995(U_8626,U_8625,U_8624,U_8623),U_8624))
| ~ sP1517(U_8625,U_8626,U_8623,U_8624) ),
inference(clausify,[status(thm)],[f_3374_4]) ).
fof(f_3375_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t38_rmod_4]) ).
fof(f_3375_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3375_1]) ).
cnf(f_3375_3,plain,
$true,
inference(clausify,[status(thm)],[f_3375_2]) ).
fof(f_3376_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t39_rmod_4]) ).
fof(f_3376_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3376_1]) ).
cnf(f_3376_3,plain,
$true,
inference(clausify,[status(thm)],[f_3376_2]) ).
fof(f_3377_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ( v1_rmod_2(C,A,B)
& C != k1_xboole_0 )
| ? [D] :
( ~ r2_hidden(k5_rmod_4(A,B,D),C)
& m2_rmod_4(D,A,B,C) ) )
& ( ! [D] :
( r2_hidden(k5_rmod_4(A,B,D),C)
| ~ m2_rmod_4(D,A,B,C) )
| ~ v1_rmod_2(C,A,B)
| C = k1_xboole_0 ) )
| k1_rlvect_1(A) = k2_group_1(A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t40_rmod_4]) ).
fof(f_3377_2,plain,
! [U_8631] :
( ! [U_8630] :
( ! [U_8629] :
( ( ( ( v1_rmod_2(U_8629,U_8631,U_8630)
& U_8629 != k1_xboole_0 )
| ? [U_8628] :
( ~ r2_hidden(k5_rmod_4(U_8631,U_8630,U_8628),U_8629)
& m2_rmod_4(U_8628,U_8631,U_8630,U_8629) ) )
& ( ! [U_8627] :
( r2_hidden(k5_rmod_4(U_8631,U_8630,U_8627),U_8629)
| ~ m2_rmod_4(U_8627,U_8631,U_8630,U_8629) )
| ~ v1_rmod_2(U_8629,U_8631,U_8630)
| U_8629 = k1_xboole_0 ) )
| k1_rlvect_1(U_8631) = k2_group_1(U_8631)
| ~ m1_subset_1(U_8629,k1_zfmisc_1(u1_struct_0(U_8630))) )
| ~ l1_vectsp_2(U_8630,U_8631)
| ~ v5_vectsp_2(U_8630,U_8631)
| ~ v6_rlvect_1(U_8630)
| ~ v5_rlvect_1(U_8630)
| ~ v4_rlvect_1(U_8630)
| ~ v3_rlvect_1(U_8630)
| v3_struct_0(U_8630) )
| ~ l3_vectsp_1(U_8631)
| ~ v8_vectsp_1(U_8631)
| ~ v7_vectsp_1(U_8631)
| ~ v6_vectsp_1(U_8631)
| ~ v4_group_1(U_8631)
| ~ v6_rlvect_1(U_8631)
| ~ v5_rlvect_1(U_8631)
| ~ v4_rlvect_1(U_8631)
| ~ v3_rlvect_1(U_8631)
| v3_struct_0(U_8631) ),
inference(variable_rename,[status(thm)],[f_3377_1]) ).
fof(f_3377_3,plain,
! [U_8631] :
( ! [U_8630] :
( ! [U_8629] :
( ( ( ( v1_rmod_2(U_8629,U_8631,U_8630)
& U_8629 != k1_xboole_0 )
| ( ~ r2_hidden(k5_rmod_4(U_8631,U_8630,sK996(U_8631,U_8630,U_8629)),U_8629)
& m2_rmod_4(sK996(U_8631,U_8630,U_8629),U_8631,U_8630,U_8629) ) )
& ( ! [U_8627] :
( r2_hidden(k5_rmod_4(U_8631,U_8630,U_8627),U_8629)
| ~ m2_rmod_4(U_8627,U_8631,U_8630,U_8629) )
| ~ v1_rmod_2(U_8629,U_8631,U_8630)
| U_8629 = k1_xboole_0 ) )
| k1_rlvect_1(U_8631) = k2_group_1(U_8631)
| ~ m1_subset_1(U_8629,k1_zfmisc_1(u1_struct_0(U_8630))) )
| ~ l1_vectsp_2(U_8630,U_8631)
| ~ v5_vectsp_2(U_8630,U_8631)
| ~ v6_rlvect_1(U_8630)
| ~ v5_rlvect_1(U_8630)
| ~ v4_rlvect_1(U_8630)
| ~ v3_rlvect_1(U_8630)
| v3_struct_0(U_8630) )
| ~ l3_vectsp_1(U_8631)
| ~ v8_vectsp_1(U_8631)
| ~ v7_vectsp_1(U_8631)
| ~ v6_vectsp_1(U_8631)
| ~ v4_group_1(U_8631)
| ~ v6_rlvect_1(U_8631)
| ~ v5_rlvect_1(U_8631)
| ~ v4_rlvect_1(U_8631)
| ~ v3_rlvect_1(U_8631)
| v3_struct_0(U_8631) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK996]),skolemize(U_8628,sK996(U_8631,U_8630,U_8629))],[f_3377_2]) ).
fof(f_3377_4,plain,
( ! [U_8631,U_8630,U_8629] :
( v1_rmod_2(U_8629,U_8631,U_8630)
| ~ sP1520(U_8631,U_8630,U_8629) )
& ! [U_8631,U_8630,U_8629] :
( U_8629 != k1_xboole_0
| ~ sP1520(U_8631,U_8630,U_8629) )
& ! [U_8631,U_8630,U_8629] :
( ~ r2_hidden(k5_rmod_4(U_8631,U_8630,sK996(U_8631,U_8630,U_8629)),U_8629)
| ~ sP1519(U_8631,U_8630,U_8629) )
& ! [U_8631,U_8630,U_8629] :
( m2_rmod_4(sK996(U_8631,U_8630,U_8629),U_8631,U_8630,U_8629)
| ~ sP1519(U_8631,U_8630,U_8629) )
& ! [U_8627,U_8631,U_8630,U_8629] :
( sP1520(U_8631,U_8630,U_8629)
| sP1519(U_8631,U_8630,U_8629)
| ~ sP1521(U_8627,U_8631,U_8630,U_8629) )
& ! [U_8627,U_8631,U_8630,U_8629] :
( r2_hidden(k5_rmod_4(U_8631,U_8630,U_8627),U_8629)
| ~ m2_rmod_4(U_8627,U_8631,U_8630,U_8629)
| ~ v1_rmod_2(U_8629,U_8631,U_8630)
| U_8629 = k1_xboole_0
| ~ sP1521(U_8627,U_8631,U_8630,U_8629) )
& ! [U_8627,U_8631,U_8630,U_8629] :
( sP1521(U_8627,U_8631,U_8630,U_8629)
| k1_rlvect_1(U_8631) = k2_group_1(U_8631)
| ~ m1_subset_1(U_8629,k1_zfmisc_1(u1_struct_0(U_8630)))
| ~ l1_vectsp_2(U_8630,U_8631)
| ~ v5_vectsp_2(U_8630,U_8631)
| ~ v6_rlvect_1(U_8630)
| ~ v5_rlvect_1(U_8630)
| ~ v4_rlvect_1(U_8630)
| ~ v3_rlvect_1(U_8630)
| v3_struct_0(U_8630)
| ~ l3_vectsp_1(U_8631)
| ~ v8_vectsp_1(U_8631)
| ~ v7_vectsp_1(U_8631)
| ~ v6_vectsp_1(U_8631)
| ~ v4_group_1(U_8631)
| ~ v6_rlvect_1(U_8631)
| ~ v5_rlvect_1(U_8631)
| ~ v4_rlvect_1(U_8631)
| ~ v3_rlvect_1(U_8631)
| v3_struct_0(U_8631) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1519,sP1520,sP1521])],[f_3377_3]) ).
cnf(f_3377_5,plain,
( sP1521(U_8627,U_8631,U_8630,U_8629)
| k1_rlvect_1(U_8631) = k2_group_1(U_8631)
| ~ m1_subset_1(U_8629,k1_zfmisc_1(u1_struct_0(U_8630)))
| ~ l1_vectsp_2(U_8630,U_8631)
| ~ v5_vectsp_2(U_8630,U_8631)
| ~ v6_rlvect_1(U_8630)
| ~ v5_rlvect_1(U_8630)
| ~ v4_rlvect_1(U_8630)
| ~ v3_rlvect_1(U_8630)
| v3_struct_0(U_8630)
| ~ l3_vectsp_1(U_8631)
| ~ v8_vectsp_1(U_8631)
| ~ v7_vectsp_1(U_8631)
| ~ v6_vectsp_1(U_8631)
| ~ v4_group_1(U_8631)
| ~ v6_rlvect_1(U_8631)
| ~ v5_rlvect_1(U_8631)
| ~ v4_rlvect_1(U_8631)
| ~ v3_rlvect_1(U_8631)
| v3_struct_0(U_8631) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
cnf(f_3377_6,plain,
( r2_hidden(k5_rmod_4(U_8631,U_8630,U_8627),U_8629)
| ~ m2_rmod_4(U_8627,U_8631,U_8630,U_8629)
| ~ v1_rmod_2(U_8629,U_8631,U_8630)
| U_8629 = k1_xboole_0
| ~ sP1521(U_8627,U_8631,U_8630,U_8629) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
cnf(f_3377_7,plain,
( sP1520(U_8631,U_8630,U_8629)
| sP1519(U_8631,U_8630,U_8629)
| ~ sP1521(U_8627,U_8631,U_8630,U_8629) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
cnf(f_3377_8,plain,
( m2_rmod_4(sK996(U_8631,U_8630,U_8629),U_8631,U_8630,U_8629)
| ~ sP1519(U_8631,U_8630,U_8629) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
cnf(f_3377_9,plain,
( ~ r2_hidden(k5_rmod_4(U_8631,U_8630,sK996(U_8631,U_8630,U_8629)),U_8629)
| ~ sP1519(U_8631,U_8630,U_8629) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
cnf(f_3377_10,plain,
( U_8629 != k1_xboole_0
| ~ sP1520(U_8631,U_8630,U_8629) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
cnf(f_3377_11,plain,
( v1_rmod_2(U_8629,U_8631,U_8630)
| ~ sP1520(U_8631,U_8630,U_8629) ),
inference(clausify,[status(thm)],[f_3377_4]) ).
fof(f_3378_1,plain,
! [A] :
( ! [B] :
( k5_rmod_4(A,B,k3_rmod_4(A,B)) = k1_rlvect_1(B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t41_rmod_4]) ).
fof(f_3378_2,plain,
! [U_8633] :
( ! [U_8632] :
( k5_rmod_4(U_8633,U_8632,k3_rmod_4(U_8633,U_8632)) = k1_rlvect_1(U_8632)
| ~ l1_vectsp_2(U_8632,U_8633)
| ~ v5_vectsp_2(U_8632,U_8633)
| ~ v6_rlvect_1(U_8632)
| ~ v5_rlvect_1(U_8632)
| ~ v4_rlvect_1(U_8632)
| ~ v3_rlvect_1(U_8632)
| v3_struct_0(U_8632) )
| ~ l3_vectsp_1(U_8633)
| ~ v8_vectsp_1(U_8633)
| ~ v7_vectsp_1(U_8633)
| ~ v6_vectsp_1(U_8633)
| ~ v4_group_1(U_8633)
| ~ v6_rlvect_1(U_8633)
| ~ v5_rlvect_1(U_8633)
| ~ v4_rlvect_1(U_8633)
| ~ v3_rlvect_1(U_8633)
| v3_struct_0(U_8633) ),
inference(variable_rename,[status(thm)],[f_3378_1]) ).
fof(f_3378_3,plain,
! [U_8632,U_8633] :
( k5_rmod_4(U_8633,U_8632,k3_rmod_4(U_8633,U_8632)) = k1_rlvect_1(U_8632)
| ~ l1_vectsp_2(U_8632,U_8633)
| ~ v5_vectsp_2(U_8632,U_8633)
| ~ v6_rlvect_1(U_8632)
| ~ v5_rlvect_1(U_8632)
| ~ v4_rlvect_1(U_8632)
| ~ v3_rlvect_1(U_8632)
| v3_struct_0(U_8632)
| ~ l3_vectsp_1(U_8633)
| ~ v8_vectsp_1(U_8633)
| ~ v7_vectsp_1(U_8633)
| ~ v6_vectsp_1(U_8633)
| ~ v4_group_1(U_8633)
| ~ v6_rlvect_1(U_8633)
| ~ v5_rlvect_1(U_8633)
| ~ v4_rlvect_1(U_8633)
| ~ v3_rlvect_1(U_8633)
| v3_struct_0(U_8633) ),
inference(definitional_conversion,[status(esa)],[f_3378_2]) ).
cnf(f_3378_4,plain,
( k5_rmod_4(U_8633,U_8632,k3_rmod_4(U_8633,U_8632)) = k1_rlvect_1(U_8632)
| ~ l1_vectsp_2(U_8632,U_8633)
| ~ v5_vectsp_2(U_8632,U_8633)
| ~ v6_rlvect_1(U_8632)
| ~ v5_rlvect_1(U_8632)
| ~ v4_rlvect_1(U_8632)
| ~ v3_rlvect_1(U_8632)
| v3_struct_0(U_8632)
| ~ l3_vectsp_1(U_8633)
| ~ v8_vectsp_1(U_8633)
| ~ v7_vectsp_1(U_8633)
| ~ v6_vectsp_1(U_8633)
| ~ v4_group_1(U_8633)
| ~ v6_rlvect_1(U_8633)
| ~ v5_rlvect_1(U_8633)
| ~ v4_rlvect_1(U_8633)
| ~ v3_rlvect_1(U_8633)
| v3_struct_0(U_8633) ),
inference(clausify,[status(thm)],[f_3378_3]) ).
fof(f_3379_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rmod_4(A,B,C) = k1_rlvect_1(B)
| ~ m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t42_rmod_4]) ).
fof(f_3379_2,plain,
! [U_8636] :
( ! [U_8635] :
( ! [U_8634] :
( k5_rmod_4(U_8636,U_8635,U_8634) = k1_rlvect_1(U_8635)
| ~ m2_rmod_4(U_8634,U_8636,U_8635,k1_subset_1(u1_struct_0(U_8635))) )
| ~ l1_vectsp_2(U_8635,U_8636)
| ~ v5_vectsp_2(U_8635,U_8636)
| ~ v6_rlvect_1(U_8635)
| ~ v5_rlvect_1(U_8635)
| ~ v4_rlvect_1(U_8635)
| ~ v3_rlvect_1(U_8635)
| v3_struct_0(U_8635) )
| ~ l3_vectsp_1(U_8636)
| ~ v8_vectsp_1(U_8636)
| ~ v7_vectsp_1(U_8636)
| ~ v6_vectsp_1(U_8636)
| ~ v4_group_1(U_8636)
| ~ v6_rlvect_1(U_8636)
| ~ v5_rlvect_1(U_8636)
| ~ v4_rlvect_1(U_8636)
| ~ v3_rlvect_1(U_8636)
| v3_struct_0(U_8636) ),
inference(variable_rename,[status(thm)],[f_3379_1]) ).
fof(f_3379_3,plain,
! [U_8635,U_8636,U_8634] :
( k5_rmod_4(U_8636,U_8635,U_8634) = k1_rlvect_1(U_8635)
| ~ m2_rmod_4(U_8634,U_8636,U_8635,k1_subset_1(u1_struct_0(U_8635)))
| ~ l1_vectsp_2(U_8635,U_8636)
| ~ v5_vectsp_2(U_8635,U_8636)
| ~ v6_rlvect_1(U_8635)
| ~ v5_rlvect_1(U_8635)
| ~ v4_rlvect_1(U_8635)
| ~ v3_rlvect_1(U_8635)
| v3_struct_0(U_8635)
| ~ l3_vectsp_1(U_8636)
| ~ v8_vectsp_1(U_8636)
| ~ v7_vectsp_1(U_8636)
| ~ v6_vectsp_1(U_8636)
| ~ v4_group_1(U_8636)
| ~ v6_rlvect_1(U_8636)
| ~ v5_rlvect_1(U_8636)
| ~ v4_rlvect_1(U_8636)
| ~ v3_rlvect_1(U_8636)
| v3_struct_0(U_8636) ),
inference(definitional_conversion,[status(esa)],[f_3379_2]) ).
cnf(f_3379_4,plain,
( k5_rmod_4(U_8636,U_8635,U_8634) = k1_rlvect_1(U_8635)
| ~ m2_rmod_4(U_8634,U_8636,U_8635,k1_subset_1(u1_struct_0(U_8635)))
| ~ l1_vectsp_2(U_8635,U_8636)
| ~ v5_vectsp_2(U_8635,U_8636)
| ~ v6_rlvect_1(U_8635)
| ~ v5_rlvect_1(U_8635)
| ~ v4_rlvect_1(U_8635)
| ~ v3_rlvect_1(U_8635)
| v3_struct_0(U_8635)
| ~ l3_vectsp_1(U_8636)
| ~ v8_vectsp_1(U_8636)
| ~ v7_vectsp_1(U_8636)
| ~ v6_vectsp_1(U_8636)
| ~ v4_group_1(U_8636)
| ~ v6_rlvect_1(U_8636)
| ~ v5_rlvect_1(U_8636)
| ~ v4_rlvect_1(U_8636)
| ~ v3_rlvect_1(U_8636)
| v3_struct_0(U_8636) ),
inference(clausify,[status(thm)],[f_3379_3]) ).
fof(f_3380_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)
| ~ m2_rmod_4(D,A,B,k7_rlvect_2(B,C)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_rmod_4]) ).
fof(f_3380_2,plain,
! [U_8640] :
( ! [U_8639] :
( ! [U_8638] :
( ! [U_8637] :
( k5_rmod_4(U_8640,U_8639,U_8637) = k6_vectsp_2(U_8640,U_8639,k8_funct_2(u1_struct_0(U_8639),u1_struct_0(U_8640),U_8637,U_8638),U_8638)
| ~ m2_rmod_4(U_8637,U_8640,U_8639,k7_rlvect_2(U_8639,U_8638)) )
| ~ m1_subset_1(U_8638,u1_struct_0(U_8639)) )
| ~ l1_vectsp_2(U_8639,U_8640)
| ~ v5_vectsp_2(U_8639,U_8640)
| ~ v6_rlvect_1(U_8639)
| ~ v5_rlvect_1(U_8639)
| ~ v4_rlvect_1(U_8639)
| ~ v3_rlvect_1(U_8639)
| v3_struct_0(U_8639) )
| ~ l3_vectsp_1(U_8640)
| ~ v8_vectsp_1(U_8640)
| ~ v7_vectsp_1(U_8640)
| ~ v6_vectsp_1(U_8640)
| ~ v4_group_1(U_8640)
| ~ v6_rlvect_1(U_8640)
| ~ v5_rlvect_1(U_8640)
| ~ v4_rlvect_1(U_8640)
| ~ v3_rlvect_1(U_8640)
| v3_struct_0(U_8640) ),
inference(variable_rename,[status(thm)],[f_3380_1]) ).
fof(f_3380_3,plain,
! [U_8637,U_8638,U_8639,U_8640] :
( k5_rmod_4(U_8640,U_8639,U_8637) = k6_vectsp_2(U_8640,U_8639,k8_funct_2(u1_struct_0(U_8639),u1_struct_0(U_8640),U_8637,U_8638),U_8638)
| ~ m2_rmod_4(U_8637,U_8640,U_8639,k7_rlvect_2(U_8639,U_8638))
| ~ m1_subset_1(U_8638,u1_struct_0(U_8639))
| ~ l1_vectsp_2(U_8639,U_8640)
| ~ v5_vectsp_2(U_8639,U_8640)
| ~ v6_rlvect_1(U_8639)
| ~ v5_rlvect_1(U_8639)
| ~ v4_rlvect_1(U_8639)
| ~ v3_rlvect_1(U_8639)
| v3_struct_0(U_8639)
| ~ l3_vectsp_1(U_8640)
| ~ v8_vectsp_1(U_8640)
| ~ v7_vectsp_1(U_8640)
| ~ v6_vectsp_1(U_8640)
| ~ v4_group_1(U_8640)
| ~ v6_rlvect_1(U_8640)
| ~ v5_rlvect_1(U_8640)
| ~ v4_rlvect_1(U_8640)
| ~ v3_rlvect_1(U_8640)
| v3_struct_0(U_8640) ),
inference(definitional_conversion,[status(esa)],[f_3380_2]) ).
cnf(f_3380_4,plain,
( k5_rmod_4(U_8640,U_8639,U_8637) = k6_vectsp_2(U_8640,U_8639,k8_funct_2(u1_struct_0(U_8639),u1_struct_0(U_8640),U_8637,U_8638),U_8638)
| ~ m2_rmod_4(U_8637,U_8640,U_8639,k7_rlvect_2(U_8639,U_8638))
| ~ m1_subset_1(U_8638,u1_struct_0(U_8639))
| ~ l1_vectsp_2(U_8639,U_8640)
| ~ v5_vectsp_2(U_8639,U_8640)
| ~ v6_rlvect_1(U_8639)
| ~ v5_rlvect_1(U_8639)
| ~ v4_rlvect_1(U_8639)
| ~ v3_rlvect_1(U_8639)
| v3_struct_0(U_8639)
| ~ l3_vectsp_1(U_8640)
| ~ v8_vectsp_1(U_8640)
| ~ v7_vectsp_1(U_8640)
| ~ v6_vectsp_1(U_8640)
| ~ v4_group_1(U_8640)
| ~ v6_rlvect_1(U_8640)
| ~ v5_rlvect_1(U_8640)
| ~ v4_rlvect_1(U_8640)
| ~ v3_rlvect_1(U_8640)
| v3_struct_0(U_8640) ),
inference(clausify,[status(thm)],[f_3380_3]) ).
fof(f_3381_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D))
| ~ m2_rmod_4(E,A,B,k8_rlvect_2(B,C,D)) )
| C = D
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t44_rmod_4]) ).
fof(f_3381_2,plain,
! [U_8645] :
( ! [U_8644] :
( ! [U_8643] :
( ! [U_8642] :
( ! [U_8641] :
( k5_rmod_4(U_8645,U_8644,U_8641) = k4_rlvect_1(U_8644,k6_vectsp_2(U_8645,U_8644,k8_funct_2(u1_struct_0(U_8644),u1_struct_0(U_8645),U_8641,U_8643),U_8643),k6_vectsp_2(U_8645,U_8644,k8_funct_2(u1_struct_0(U_8644),u1_struct_0(U_8645),U_8641,U_8642),U_8642))
| ~ m2_rmod_4(U_8641,U_8645,U_8644,k8_rlvect_2(U_8644,U_8643,U_8642)) )
| U_8643 = U_8642
| ~ m1_subset_1(U_8642,u1_struct_0(U_8644)) )
| ~ m1_subset_1(U_8643,u1_struct_0(U_8644)) )
| ~ l1_vectsp_2(U_8644,U_8645)
| ~ v5_vectsp_2(U_8644,U_8645)
| ~ v6_rlvect_1(U_8644)
| ~ v5_rlvect_1(U_8644)
| ~ v4_rlvect_1(U_8644)
| ~ v3_rlvect_1(U_8644)
| v3_struct_0(U_8644) )
| ~ l3_vectsp_1(U_8645)
| ~ v8_vectsp_1(U_8645)
| ~ v7_vectsp_1(U_8645)
| ~ v6_vectsp_1(U_8645)
| ~ v4_group_1(U_8645)
| ~ v6_rlvect_1(U_8645)
| ~ v5_rlvect_1(U_8645)
| ~ v4_rlvect_1(U_8645)
| ~ v3_rlvect_1(U_8645)
| v3_struct_0(U_8645) ),
inference(variable_rename,[status(thm)],[f_3381_1]) ).
fof(f_3381_3,plain,
! [U_8645,U_8644,U_8642,U_8643,U_8641] :
( k5_rmod_4(U_8645,U_8644,U_8641) = k4_rlvect_1(U_8644,k6_vectsp_2(U_8645,U_8644,k8_funct_2(u1_struct_0(U_8644),u1_struct_0(U_8645),U_8641,U_8643),U_8643),k6_vectsp_2(U_8645,U_8644,k8_funct_2(u1_struct_0(U_8644),u1_struct_0(U_8645),U_8641,U_8642),U_8642))
| ~ m2_rmod_4(U_8641,U_8645,U_8644,k8_rlvect_2(U_8644,U_8643,U_8642))
| U_8643 = U_8642
| ~ m1_subset_1(U_8642,u1_struct_0(U_8644))
| ~ m1_subset_1(U_8643,u1_struct_0(U_8644))
| ~ l1_vectsp_2(U_8644,U_8645)
| ~ v5_vectsp_2(U_8644,U_8645)
| ~ v6_rlvect_1(U_8644)
| ~ v5_rlvect_1(U_8644)
| ~ v4_rlvect_1(U_8644)
| ~ v3_rlvect_1(U_8644)
| v3_struct_0(U_8644)
| ~ l3_vectsp_1(U_8645)
| ~ v8_vectsp_1(U_8645)
| ~ v7_vectsp_1(U_8645)
| ~ v6_vectsp_1(U_8645)
| ~ v4_group_1(U_8645)
| ~ v6_rlvect_1(U_8645)
| ~ v5_rlvect_1(U_8645)
| ~ v4_rlvect_1(U_8645)
| ~ v3_rlvect_1(U_8645)
| v3_struct_0(U_8645) ),
inference(definitional_conversion,[status(esa)],[f_3381_2]) ).
cnf(f_3381_4,plain,
( k5_rmod_4(U_8645,U_8644,U_8641) = k4_rlvect_1(U_8644,k6_vectsp_2(U_8645,U_8644,k8_funct_2(u1_struct_0(U_8644),u1_struct_0(U_8645),U_8641,U_8643),U_8643),k6_vectsp_2(U_8645,U_8644,k8_funct_2(u1_struct_0(U_8644),u1_struct_0(U_8645),U_8641,U_8642),U_8642))
| ~ m2_rmod_4(U_8641,U_8645,U_8644,k8_rlvect_2(U_8644,U_8643,U_8642))
| U_8643 = U_8642
| ~ m1_subset_1(U_8642,u1_struct_0(U_8644))
| ~ m1_subset_1(U_8643,u1_struct_0(U_8644))
| ~ l1_vectsp_2(U_8644,U_8645)
| ~ v5_vectsp_2(U_8644,U_8645)
| ~ v6_rlvect_1(U_8644)
| ~ v5_rlvect_1(U_8644)
| ~ v4_rlvect_1(U_8644)
| ~ v3_rlvect_1(U_8644)
| v3_struct_0(U_8644)
| ~ l3_vectsp_1(U_8645)
| ~ v8_vectsp_1(U_8645)
| ~ v7_vectsp_1(U_8645)
| ~ v6_vectsp_1(U_8645)
| ~ v4_group_1(U_8645)
| ~ v6_rlvect_1(U_8645)
| ~ v5_rlvect_1(U_8645)
| ~ v4_rlvect_1(U_8645)
| ~ v3_rlvect_1(U_8645)
| v3_struct_0(U_8645) ),
inference(clausify,[status(thm)],[f_3381_3]) ).
fof(f_3382_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rmod_4(A,B,C) = k1_rlvect_1(B)
| k2_rmod_4(A,B,C) != k1_xboole_0
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t45_rmod_4]) ).
fof(f_3382_2,plain,
! [U_8648] :
( ! [U_8647] :
( ! [U_8646] :
( k5_rmod_4(U_8648,U_8647,U_8646) = k1_rlvect_1(U_8647)
| k2_rmod_4(U_8648,U_8647,U_8646) != k1_xboole_0
| ~ m1_rmod_4(U_8646,U_8648,U_8647) )
| ~ l1_vectsp_2(U_8647,U_8648)
| ~ v5_vectsp_2(U_8647,U_8648)
| ~ v6_rlvect_1(U_8647)
| ~ v5_rlvect_1(U_8647)
| ~ v4_rlvect_1(U_8647)
| ~ v3_rlvect_1(U_8647)
| v3_struct_0(U_8647) )
| ~ l3_vectsp_1(U_8648)
| ~ v8_vectsp_1(U_8648)
| ~ v7_vectsp_1(U_8648)
| ~ v6_vectsp_1(U_8648)
| ~ v4_group_1(U_8648)
| ~ v6_rlvect_1(U_8648)
| ~ v5_rlvect_1(U_8648)
| ~ v4_rlvect_1(U_8648)
| ~ v3_rlvect_1(U_8648)
| v3_struct_0(U_8648) ),
inference(variable_rename,[status(thm)],[f_3382_1]) ).
fof(f_3382_3,plain,
! [U_8646,U_8647,U_8648] :
( k5_rmod_4(U_8648,U_8647,U_8646) = k1_rlvect_1(U_8647)
| k2_rmod_4(U_8648,U_8647,U_8646) != k1_xboole_0
| ~ m1_rmod_4(U_8646,U_8648,U_8647)
| ~ l1_vectsp_2(U_8647,U_8648)
| ~ v5_vectsp_2(U_8647,U_8648)
| ~ v6_rlvect_1(U_8647)
| ~ v5_rlvect_1(U_8647)
| ~ v4_rlvect_1(U_8647)
| ~ v3_rlvect_1(U_8647)
| v3_struct_0(U_8647)
| ~ l3_vectsp_1(U_8648)
| ~ v8_vectsp_1(U_8648)
| ~ v7_vectsp_1(U_8648)
| ~ v6_vectsp_1(U_8648)
| ~ v4_group_1(U_8648)
| ~ v6_rlvect_1(U_8648)
| ~ v5_rlvect_1(U_8648)
| ~ v4_rlvect_1(U_8648)
| ~ v3_rlvect_1(U_8648)
| v3_struct_0(U_8648) ),
inference(definitional_conversion,[status(esa)],[f_3382_2]) ).
cnf(f_3382_4,plain,
( k5_rmod_4(U_8648,U_8647,U_8646) = k1_rlvect_1(U_8647)
| k2_rmod_4(U_8648,U_8647,U_8646) != k1_xboole_0
| ~ m1_rmod_4(U_8646,U_8648,U_8647)
| ~ l1_vectsp_2(U_8647,U_8648)
| ~ v5_vectsp_2(U_8647,U_8648)
| ~ v6_rlvect_1(U_8647)
| ~ v5_rlvect_1(U_8647)
| ~ v4_rlvect_1(U_8647)
| ~ v3_rlvect_1(U_8647)
| v3_struct_0(U_8647)
| ~ l3_vectsp_1(U_8648)
| ~ v8_vectsp_1(U_8648)
| ~ v7_vectsp_1(U_8648)
| ~ v6_vectsp_1(U_8648)
| ~ v4_group_1(U_8648)
| ~ v6_rlvect_1(U_8648)
| ~ v5_rlvect_1(U_8648)
| ~ v4_rlvect_1(U_8648)
| ~ v3_rlvect_1(U_8648)
| v3_struct_0(U_8648) ),
inference(clausify,[status(thm)],[f_3382_3]) ).
fof(f_3383_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)
| k2_rmod_4(A,B,D) != k7_rlvect_2(B,C)
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t46_rmod_4]) ).
fof(f_3383_2,plain,
! [U_8652] :
( ! [U_8651] :
( ! [U_8650] :
( ! [U_8649] :
( k5_rmod_4(U_8652,U_8651,U_8649) = k6_vectsp_2(U_8652,U_8651,k8_funct_2(u1_struct_0(U_8651),u1_struct_0(U_8652),U_8649,U_8650),U_8650)
| k2_rmod_4(U_8652,U_8651,U_8649) != k7_rlvect_2(U_8651,U_8650)
| ~ m1_rmod_4(U_8649,U_8652,U_8651) )
| ~ m1_subset_1(U_8650,u1_struct_0(U_8651)) )
| ~ l1_vectsp_2(U_8651,U_8652)
| ~ v5_vectsp_2(U_8651,U_8652)
| ~ v6_rlvect_1(U_8651)
| ~ v5_rlvect_1(U_8651)
| ~ v4_rlvect_1(U_8651)
| ~ v3_rlvect_1(U_8651)
| v3_struct_0(U_8651) )
| ~ l3_vectsp_1(U_8652)
| ~ v8_vectsp_1(U_8652)
| ~ v7_vectsp_1(U_8652)
| ~ v6_vectsp_1(U_8652)
| ~ v4_group_1(U_8652)
| ~ v6_rlvect_1(U_8652)
| ~ v5_rlvect_1(U_8652)
| ~ v4_rlvect_1(U_8652)
| ~ v3_rlvect_1(U_8652)
| v3_struct_0(U_8652) ),
inference(variable_rename,[status(thm)],[f_3383_1]) ).
fof(f_3383_3,plain,
! [U_8649,U_8650,U_8652,U_8651] :
( k5_rmod_4(U_8652,U_8651,U_8649) = k6_vectsp_2(U_8652,U_8651,k8_funct_2(u1_struct_0(U_8651),u1_struct_0(U_8652),U_8649,U_8650),U_8650)
| k2_rmod_4(U_8652,U_8651,U_8649) != k7_rlvect_2(U_8651,U_8650)
| ~ m1_rmod_4(U_8649,U_8652,U_8651)
| ~ m1_subset_1(U_8650,u1_struct_0(U_8651))
| ~ l1_vectsp_2(U_8651,U_8652)
| ~ v5_vectsp_2(U_8651,U_8652)
| ~ v6_rlvect_1(U_8651)
| ~ v5_rlvect_1(U_8651)
| ~ v4_rlvect_1(U_8651)
| ~ v3_rlvect_1(U_8651)
| v3_struct_0(U_8651)
| ~ l3_vectsp_1(U_8652)
| ~ v8_vectsp_1(U_8652)
| ~ v7_vectsp_1(U_8652)
| ~ v6_vectsp_1(U_8652)
| ~ v4_group_1(U_8652)
| ~ v6_rlvect_1(U_8652)
| ~ v5_rlvect_1(U_8652)
| ~ v4_rlvect_1(U_8652)
| ~ v3_rlvect_1(U_8652)
| v3_struct_0(U_8652) ),
inference(definitional_conversion,[status(esa)],[f_3383_2]) ).
cnf(f_3383_4,plain,
( k5_rmod_4(U_8652,U_8651,U_8649) = k6_vectsp_2(U_8652,U_8651,k8_funct_2(u1_struct_0(U_8651),u1_struct_0(U_8652),U_8649,U_8650),U_8650)
| k2_rmod_4(U_8652,U_8651,U_8649) != k7_rlvect_2(U_8651,U_8650)
| ~ m1_rmod_4(U_8649,U_8652,U_8651)
| ~ m1_subset_1(U_8650,u1_struct_0(U_8651))
| ~ l1_vectsp_2(U_8651,U_8652)
| ~ v5_vectsp_2(U_8651,U_8652)
| ~ v6_rlvect_1(U_8651)
| ~ v5_rlvect_1(U_8651)
| ~ v4_rlvect_1(U_8651)
| ~ v3_rlvect_1(U_8651)
| v3_struct_0(U_8651)
| ~ l3_vectsp_1(U_8652)
| ~ v8_vectsp_1(U_8652)
| ~ v7_vectsp_1(U_8652)
| ~ v6_vectsp_1(U_8652)
| ~ v4_group_1(U_8652)
| ~ v6_rlvect_1(U_8652)
| ~ v5_rlvect_1(U_8652)
| ~ v4_rlvect_1(U_8652)
| ~ v3_rlvect_1(U_8652)
| v3_struct_0(U_8652) ),
inference(clausify,[status(thm)],[f_3383_3]) ).
fof(f_3384_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D))
| C = D
| k2_rmod_4(A,B,E) != k8_rlvect_2(B,C,D)
| ~ m1_rmod_4(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t47_rmod_4]) ).
fof(f_3384_2,plain,
! [U_8657] :
( ! [U_8656] :
( ! [U_8655] :
( ! [U_8654] :
( ! [U_8653] :
( k5_rmod_4(U_8657,U_8656,U_8653) = k4_rlvect_1(U_8656,k6_vectsp_2(U_8657,U_8656,k8_funct_2(u1_struct_0(U_8656),u1_struct_0(U_8657),U_8653,U_8655),U_8655),k6_vectsp_2(U_8657,U_8656,k8_funct_2(u1_struct_0(U_8656),u1_struct_0(U_8657),U_8653,U_8654),U_8654))
| U_8655 = U_8654
| k2_rmod_4(U_8657,U_8656,U_8653) != k8_rlvect_2(U_8656,U_8655,U_8654)
| ~ m1_rmod_4(U_8653,U_8657,U_8656) )
| ~ m1_subset_1(U_8654,u1_struct_0(U_8656)) )
| ~ m1_subset_1(U_8655,u1_struct_0(U_8656)) )
| ~ l1_vectsp_2(U_8656,U_8657)
| ~ v5_vectsp_2(U_8656,U_8657)
| ~ v6_rlvect_1(U_8656)
| ~ v5_rlvect_1(U_8656)
| ~ v4_rlvect_1(U_8656)
| ~ v3_rlvect_1(U_8656)
| v3_struct_0(U_8656) )
| ~ l3_vectsp_1(U_8657)
| ~ v8_vectsp_1(U_8657)
| ~ v7_vectsp_1(U_8657)
| ~ v6_vectsp_1(U_8657)
| ~ v4_group_1(U_8657)
| ~ v6_rlvect_1(U_8657)
| ~ v5_rlvect_1(U_8657)
| ~ v4_rlvect_1(U_8657)
| ~ v3_rlvect_1(U_8657)
| v3_struct_0(U_8657) ),
inference(variable_rename,[status(thm)],[f_3384_1]) ).
fof(f_3384_3,plain,
! [U_8654,U_8656,U_8657,U_8655,U_8653] :
( k5_rmod_4(U_8657,U_8656,U_8653) = k4_rlvect_1(U_8656,k6_vectsp_2(U_8657,U_8656,k8_funct_2(u1_struct_0(U_8656),u1_struct_0(U_8657),U_8653,U_8655),U_8655),k6_vectsp_2(U_8657,U_8656,k8_funct_2(u1_struct_0(U_8656),u1_struct_0(U_8657),U_8653,U_8654),U_8654))
| U_8655 = U_8654
| k2_rmod_4(U_8657,U_8656,U_8653) != k8_rlvect_2(U_8656,U_8655,U_8654)
| ~ m1_rmod_4(U_8653,U_8657,U_8656)
| ~ m1_subset_1(U_8654,u1_struct_0(U_8656))
| ~ m1_subset_1(U_8655,u1_struct_0(U_8656))
| ~ l1_vectsp_2(U_8656,U_8657)
| ~ v5_vectsp_2(U_8656,U_8657)
| ~ v6_rlvect_1(U_8656)
| ~ v5_rlvect_1(U_8656)
| ~ v4_rlvect_1(U_8656)
| ~ v3_rlvect_1(U_8656)
| v3_struct_0(U_8656)
| ~ l3_vectsp_1(U_8657)
| ~ v8_vectsp_1(U_8657)
| ~ v7_vectsp_1(U_8657)
| ~ v6_vectsp_1(U_8657)
| ~ v4_group_1(U_8657)
| ~ v6_rlvect_1(U_8657)
| ~ v5_rlvect_1(U_8657)
| ~ v4_rlvect_1(U_8657)
| ~ v3_rlvect_1(U_8657)
| v3_struct_0(U_8657) ),
inference(definitional_conversion,[status(esa)],[f_3384_2]) ).
cnf(f_3384_4,plain,
( k5_rmod_4(U_8657,U_8656,U_8653) = k4_rlvect_1(U_8656,k6_vectsp_2(U_8657,U_8656,k8_funct_2(u1_struct_0(U_8656),u1_struct_0(U_8657),U_8653,U_8655),U_8655),k6_vectsp_2(U_8657,U_8656,k8_funct_2(u1_struct_0(U_8656),u1_struct_0(U_8657),U_8653,U_8654),U_8654))
| U_8655 = U_8654
| k2_rmod_4(U_8657,U_8656,U_8653) != k8_rlvect_2(U_8656,U_8655,U_8654)
| ~ m1_rmod_4(U_8653,U_8657,U_8656)
| ~ m1_subset_1(U_8654,u1_struct_0(U_8656))
| ~ m1_subset_1(U_8655,u1_struct_0(U_8656))
| ~ l1_vectsp_2(U_8656,U_8657)
| ~ v5_vectsp_2(U_8656,U_8657)
| ~ v6_rlvect_1(U_8656)
| ~ v5_rlvect_1(U_8656)
| ~ v4_rlvect_1(U_8656)
| ~ v3_rlvect_1(U_8656)
| v3_struct_0(U_8656)
| ~ l3_vectsp_1(U_8657)
| ~ v8_vectsp_1(U_8657)
| ~ v7_vectsp_1(U_8657)
| ~ v6_vectsp_1(U_8657)
| ~ v4_group_1(U_8657)
| ~ v6_rlvect_1(U_8657)
| ~ v5_rlvect_1(U_8657)
| ~ v4_rlvect_1(U_8657)
| ~ v3_rlvect_1(U_8657)
| v3_struct_0(U_8657) ),
inference(clausify,[status(thm)],[f_3384_3]) ).
fof(f_3385_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( r1_rmod_4(A,B,C,D)
| ? [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) != k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E)
& m1_subset_1(E,u1_struct_0(B)) ) )
& ( ! [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E)
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ r1_rmod_4(A,B,C,D) ) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d10_rmod_4]) ).
fof(f_3385_2,plain,
! [U_8663] :
( ! [U_8662] :
( ! [U_8661] :
( ! [U_8660] :
( ( ( r1_rmod_4(U_8663,U_8662,U_8661,U_8660)
| ? [U_8659] :
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,U_8659) != k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,U_8659)
& m1_subset_1(U_8659,u1_struct_0(U_8662)) ) )
& ( ! [U_8658] :
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,U_8658) = k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,U_8658)
| ~ m1_subset_1(U_8658,u1_struct_0(U_8662)) )
| ~ r1_rmod_4(U_8663,U_8662,U_8661,U_8660) ) )
| ~ m1_rmod_4(U_8660,U_8663,U_8662) )
| ~ m1_rmod_4(U_8661,U_8663,U_8662) )
| ~ l1_vectsp_2(U_8662,U_8663)
| ~ v5_vectsp_2(U_8662,U_8663)
| ~ v6_rlvect_1(U_8662)
| ~ v5_rlvect_1(U_8662)
| ~ v4_rlvect_1(U_8662)
| ~ v3_rlvect_1(U_8662)
| v3_struct_0(U_8662) )
| ~ l3_vectsp_1(U_8663)
| ~ v8_vectsp_1(U_8663)
| ~ v7_vectsp_1(U_8663)
| ~ v6_vectsp_1(U_8663)
| ~ v4_group_1(U_8663)
| ~ v6_rlvect_1(U_8663)
| ~ v5_rlvect_1(U_8663)
| ~ v4_rlvect_1(U_8663)
| ~ v3_rlvect_1(U_8663)
| v3_struct_0(U_8663) ),
inference(variable_rename,[status(thm)],[f_3385_1]) ).
fof(f_3385_3,plain,
! [U_8663] :
( ! [U_8662] :
( ! [U_8661] :
( ! [U_8660] :
( ( ( r1_rmod_4(U_8663,U_8662,U_8661,U_8660)
| ( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,sK997(U_8663,U_8662,U_8661,U_8660)) != k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,sK997(U_8663,U_8662,U_8661,U_8660))
& m1_subset_1(sK997(U_8663,U_8662,U_8661,U_8660),u1_struct_0(U_8662)) ) )
& ( ! [U_8658] :
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,U_8658) = k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,U_8658)
| ~ m1_subset_1(U_8658,u1_struct_0(U_8662)) )
| ~ r1_rmod_4(U_8663,U_8662,U_8661,U_8660) ) )
| ~ m1_rmod_4(U_8660,U_8663,U_8662) )
| ~ m1_rmod_4(U_8661,U_8663,U_8662) )
| ~ l1_vectsp_2(U_8662,U_8663)
| ~ v5_vectsp_2(U_8662,U_8663)
| ~ v6_rlvect_1(U_8662)
| ~ v5_rlvect_1(U_8662)
| ~ v4_rlvect_1(U_8662)
| ~ v3_rlvect_1(U_8662)
| v3_struct_0(U_8662) )
| ~ l3_vectsp_1(U_8663)
| ~ v8_vectsp_1(U_8663)
| ~ v7_vectsp_1(U_8663)
| ~ v6_vectsp_1(U_8663)
| ~ v4_group_1(U_8663)
| ~ v6_rlvect_1(U_8663)
| ~ v5_rlvect_1(U_8663)
| ~ v4_rlvect_1(U_8663)
| ~ v3_rlvect_1(U_8663)
| v3_struct_0(U_8663) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK997]),skolemize(U_8659,sK997(U_8663,U_8662,U_8661,U_8660))],[f_3385_2]) ).
fof(f_3385_4,plain,
( ! [U_8661,U_8660,U_8663,U_8662] :
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,sK997(U_8663,U_8662,U_8661,U_8660)) != k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,sK997(U_8663,U_8662,U_8661,U_8660))
| ~ sP1522(U_8661,U_8660,U_8663,U_8662) )
& ! [U_8661,U_8660,U_8663,U_8662] :
( m1_subset_1(sK997(U_8663,U_8662,U_8661,U_8660),u1_struct_0(U_8662))
| ~ sP1522(U_8661,U_8660,U_8663,U_8662) )
& ! [U_8661,U_8660,U_8663,U_8658,U_8662] :
( r1_rmod_4(U_8663,U_8662,U_8661,U_8660)
| sP1522(U_8661,U_8660,U_8663,U_8662)
| ~ sP1523(U_8661,U_8660,U_8663,U_8658,U_8662) )
& ! [U_8661,U_8660,U_8663,U_8658,U_8662] :
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,U_8658) = k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,U_8658)
| ~ m1_subset_1(U_8658,u1_struct_0(U_8662))
| ~ r1_rmod_4(U_8663,U_8662,U_8661,U_8660)
| ~ sP1523(U_8661,U_8660,U_8663,U_8658,U_8662) )
& ! [U_8661,U_8660,U_8663,U_8658,U_8662] :
( sP1523(U_8661,U_8660,U_8663,U_8658,U_8662)
| ~ m1_rmod_4(U_8660,U_8663,U_8662)
| ~ m1_rmod_4(U_8661,U_8663,U_8662)
| ~ l1_vectsp_2(U_8662,U_8663)
| ~ v5_vectsp_2(U_8662,U_8663)
| ~ v6_rlvect_1(U_8662)
| ~ v5_rlvect_1(U_8662)
| ~ v4_rlvect_1(U_8662)
| ~ v3_rlvect_1(U_8662)
| v3_struct_0(U_8662)
| ~ l3_vectsp_1(U_8663)
| ~ v8_vectsp_1(U_8663)
| ~ v7_vectsp_1(U_8663)
| ~ v6_vectsp_1(U_8663)
| ~ v4_group_1(U_8663)
| ~ v6_rlvect_1(U_8663)
| ~ v5_rlvect_1(U_8663)
| ~ v4_rlvect_1(U_8663)
| ~ v3_rlvect_1(U_8663)
| v3_struct_0(U_8663) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1522,sP1523])],[f_3385_3]) ).
cnf(f_3385_5,plain,
( sP1523(U_8661,U_8660,U_8663,U_8658,U_8662)
| ~ m1_rmod_4(U_8660,U_8663,U_8662)
| ~ m1_rmod_4(U_8661,U_8663,U_8662)
| ~ l1_vectsp_2(U_8662,U_8663)
| ~ v5_vectsp_2(U_8662,U_8663)
| ~ v6_rlvect_1(U_8662)
| ~ v5_rlvect_1(U_8662)
| ~ v4_rlvect_1(U_8662)
| ~ v3_rlvect_1(U_8662)
| v3_struct_0(U_8662)
| ~ l3_vectsp_1(U_8663)
| ~ v8_vectsp_1(U_8663)
| ~ v7_vectsp_1(U_8663)
| ~ v6_vectsp_1(U_8663)
| ~ v4_group_1(U_8663)
| ~ v6_rlvect_1(U_8663)
| ~ v5_rlvect_1(U_8663)
| ~ v4_rlvect_1(U_8663)
| ~ v3_rlvect_1(U_8663)
| v3_struct_0(U_8663) ),
inference(clausify,[status(thm)],[f_3385_4]) ).
cnf(f_3385_6,plain,
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,U_8658) = k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,U_8658)
| ~ m1_subset_1(U_8658,u1_struct_0(U_8662))
| ~ r1_rmod_4(U_8663,U_8662,U_8661,U_8660)
| ~ sP1523(U_8661,U_8660,U_8663,U_8658,U_8662) ),
inference(clausify,[status(thm)],[f_3385_4]) ).
cnf(f_3385_7,plain,
( r1_rmod_4(U_8663,U_8662,U_8661,U_8660)
| sP1522(U_8661,U_8660,U_8663,U_8662)
| ~ sP1523(U_8661,U_8660,U_8663,U_8658,U_8662) ),
inference(clausify,[status(thm)],[f_3385_4]) ).
cnf(f_3385_8,plain,
( m1_subset_1(sK997(U_8663,U_8662,U_8661,U_8660),u1_struct_0(U_8662))
| ~ sP1522(U_8661,U_8660,U_8663,U_8662) ),
inference(clausify,[status(thm)],[f_3385_4]) ).
cnf(f_3385_9,plain,
( k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8661,sK997(U_8663,U_8662,U_8661,U_8660)) != k8_funct_2(u1_struct_0(U_8662),u1_struct_0(U_8663),U_8660,sK997(U_8663,U_8662,U_8661,U_8660))
| ~ sP1522(U_8661,U_8660,U_8663,U_8662) ),
inference(clausify,[status(thm)],[f_3385_4]) ).
fof(f_3386_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( E = k6_rmod_4(A,B,C,D)
| ? [F] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) != k4_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F))
& m1_subset_1(F,u1_struct_0(B)) ) )
& ( ! [F] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k4_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F))
| ~ m1_subset_1(F,u1_struct_0(B)) )
| E != k6_rmod_4(A,B,C,D) ) )
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d11_rmod_4]) ).
fof(f_3386_2,plain,
! [U_8670] :
( ! [U_8669] :
( ! [U_8668] :
( ! [U_8667] :
( ! [U_8666] :
( ( ( U_8666 = k6_rmod_4(U_8670,U_8669,U_8668,U_8667)
| ? [U_8665] :
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,U_8665) != k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,U_8665),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,U_8665))
& m1_subset_1(U_8665,u1_struct_0(U_8669)) ) )
& ( ! [U_8664] :
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,U_8664) = k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,U_8664),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,U_8664))
| ~ m1_subset_1(U_8664,u1_struct_0(U_8669)) )
| U_8666 != k6_rmod_4(U_8670,U_8669,U_8668,U_8667) ) )
| ~ m1_rmod_4(U_8666,U_8670,U_8669) )
| ~ m1_rmod_4(U_8667,U_8670,U_8669) )
| ~ m1_rmod_4(U_8668,U_8670,U_8669) )
| ~ l1_vectsp_2(U_8669,U_8670)
| ~ v5_vectsp_2(U_8669,U_8670)
| ~ v6_rlvect_1(U_8669)
| ~ v5_rlvect_1(U_8669)
| ~ v4_rlvect_1(U_8669)
| ~ v3_rlvect_1(U_8669)
| v3_struct_0(U_8669) )
| ~ l3_vectsp_1(U_8670)
| ~ v8_vectsp_1(U_8670)
| ~ v7_vectsp_1(U_8670)
| ~ v6_vectsp_1(U_8670)
| ~ v4_group_1(U_8670)
| ~ v6_rlvect_1(U_8670)
| ~ v5_rlvect_1(U_8670)
| ~ v4_rlvect_1(U_8670)
| ~ v3_rlvect_1(U_8670)
| v3_struct_0(U_8670) ),
inference(variable_rename,[status(thm)],[f_3386_1]) ).
fof(f_3386_3,plain,
! [U_8670] :
( ! [U_8669] :
( ! [U_8668] :
( ! [U_8667] :
( ! [U_8666] :
( ( ( U_8666 = k6_rmod_4(U_8670,U_8669,U_8668,U_8667)
| ( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)) != k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)))
& m1_subset_1(sK998(U_8670,U_8669,U_8668,U_8667,U_8666),u1_struct_0(U_8669)) ) )
& ( ! [U_8664] :
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,U_8664) = k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,U_8664),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,U_8664))
| ~ m1_subset_1(U_8664,u1_struct_0(U_8669)) )
| U_8666 != k6_rmod_4(U_8670,U_8669,U_8668,U_8667) ) )
| ~ m1_rmod_4(U_8666,U_8670,U_8669) )
| ~ m1_rmod_4(U_8667,U_8670,U_8669) )
| ~ m1_rmod_4(U_8668,U_8670,U_8669) )
| ~ l1_vectsp_2(U_8669,U_8670)
| ~ v5_vectsp_2(U_8669,U_8670)
| ~ v6_rlvect_1(U_8669)
| ~ v5_rlvect_1(U_8669)
| ~ v4_rlvect_1(U_8669)
| ~ v3_rlvect_1(U_8669)
| v3_struct_0(U_8669) )
| ~ l3_vectsp_1(U_8670)
| ~ v8_vectsp_1(U_8670)
| ~ v7_vectsp_1(U_8670)
| ~ v6_vectsp_1(U_8670)
| ~ v4_group_1(U_8670)
| ~ v6_rlvect_1(U_8670)
| ~ v5_rlvect_1(U_8670)
| ~ v4_rlvect_1(U_8670)
| ~ v3_rlvect_1(U_8670)
| v3_struct_0(U_8670) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK998]),skolemize(U_8665,sK998(U_8670,U_8669,U_8668,U_8667,U_8666))],[f_3386_2]) ).
fof(f_3386_4,plain,
( ! [U_8669,U_8670,U_8666,U_8667,U_8668] :
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)) != k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)))
| ~ sP1524(U_8669,U_8670,U_8666,U_8667,U_8668) )
& ! [U_8669,U_8670,U_8666,U_8667,U_8668] :
( m1_subset_1(sK998(U_8670,U_8669,U_8668,U_8667,U_8666),u1_struct_0(U_8669))
| ~ sP1524(U_8669,U_8670,U_8666,U_8667,U_8668) )
& ! [U_8669,U_8670,U_8664,U_8666,U_8667,U_8668] :
( U_8666 = k6_rmod_4(U_8670,U_8669,U_8668,U_8667)
| sP1524(U_8669,U_8670,U_8666,U_8667,U_8668)
| ~ sP1525(U_8669,U_8670,U_8664,U_8666,U_8667,U_8668) )
& ! [U_8669,U_8670,U_8664,U_8666,U_8667,U_8668] :
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,U_8664) = k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,U_8664),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,U_8664))
| ~ m1_subset_1(U_8664,u1_struct_0(U_8669))
| U_8666 != k6_rmod_4(U_8670,U_8669,U_8668,U_8667)
| ~ sP1525(U_8669,U_8670,U_8664,U_8666,U_8667,U_8668) )
& ! [U_8669,U_8670,U_8664,U_8666,U_8667,U_8668] :
( sP1525(U_8669,U_8670,U_8664,U_8666,U_8667,U_8668)
| ~ m1_rmod_4(U_8666,U_8670,U_8669)
| ~ m1_rmod_4(U_8667,U_8670,U_8669)
| ~ m1_rmod_4(U_8668,U_8670,U_8669)
| ~ l1_vectsp_2(U_8669,U_8670)
| ~ v5_vectsp_2(U_8669,U_8670)
| ~ v6_rlvect_1(U_8669)
| ~ v5_rlvect_1(U_8669)
| ~ v4_rlvect_1(U_8669)
| ~ v3_rlvect_1(U_8669)
| v3_struct_0(U_8669)
| ~ l3_vectsp_1(U_8670)
| ~ v8_vectsp_1(U_8670)
| ~ v7_vectsp_1(U_8670)
| ~ v6_vectsp_1(U_8670)
| ~ v4_group_1(U_8670)
| ~ v6_rlvect_1(U_8670)
| ~ v5_rlvect_1(U_8670)
| ~ v4_rlvect_1(U_8670)
| ~ v3_rlvect_1(U_8670)
| v3_struct_0(U_8670) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1524,sP1525])],[f_3386_3]) ).
cnf(f_3386_5,plain,
( sP1525(U_8669,U_8670,U_8664,U_8666,U_8667,U_8668)
| ~ m1_rmod_4(U_8666,U_8670,U_8669)
| ~ m1_rmod_4(U_8667,U_8670,U_8669)
| ~ m1_rmod_4(U_8668,U_8670,U_8669)
| ~ l1_vectsp_2(U_8669,U_8670)
| ~ v5_vectsp_2(U_8669,U_8670)
| ~ v6_rlvect_1(U_8669)
| ~ v5_rlvect_1(U_8669)
| ~ v4_rlvect_1(U_8669)
| ~ v3_rlvect_1(U_8669)
| v3_struct_0(U_8669)
| ~ l3_vectsp_1(U_8670)
| ~ v8_vectsp_1(U_8670)
| ~ v7_vectsp_1(U_8670)
| ~ v6_vectsp_1(U_8670)
| ~ v4_group_1(U_8670)
| ~ v6_rlvect_1(U_8670)
| ~ v5_rlvect_1(U_8670)
| ~ v4_rlvect_1(U_8670)
| ~ v3_rlvect_1(U_8670)
| v3_struct_0(U_8670) ),
inference(clausify,[status(thm)],[f_3386_4]) ).
cnf(f_3386_6,plain,
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,U_8664) = k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,U_8664),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,U_8664))
| ~ m1_subset_1(U_8664,u1_struct_0(U_8669))
| U_8666 != k6_rmod_4(U_8670,U_8669,U_8668,U_8667)
| ~ sP1525(U_8669,U_8670,U_8664,U_8666,U_8667,U_8668) ),
inference(clausify,[status(thm)],[f_3386_4]) ).
cnf(f_3386_7,plain,
( U_8666 = k6_rmod_4(U_8670,U_8669,U_8668,U_8667)
| sP1524(U_8669,U_8670,U_8666,U_8667,U_8668)
| ~ sP1525(U_8669,U_8670,U_8664,U_8666,U_8667,U_8668) ),
inference(clausify,[status(thm)],[f_3386_4]) ).
cnf(f_3386_8,plain,
( m1_subset_1(sK998(U_8670,U_8669,U_8668,U_8667,U_8666),u1_struct_0(U_8669))
| ~ sP1524(U_8669,U_8670,U_8666,U_8667,U_8668) ),
inference(clausify,[status(thm)],[f_3386_4]) ).
cnf(f_3386_9,plain,
( k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8666,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)) != k4_rlvect_1(U_8670,k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8668,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)),k8_funct_2(u1_struct_0(U_8669),u1_struct_0(U_8670),U_8667,sK998(U_8670,U_8669,U_8668,U_8667,U_8666)))
| ~ sP1524(U_8669,U_8670,U_8666,U_8667,U_8668) ),
inference(clausify,[status(thm)],[f_3386_4]) ).
fof(f_3387_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t48_rmod_4]) ).
fof(f_3387_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3387_1]) ).
cnf(f_3387_3,plain,
$true,
inference(clausify,[status(thm)],[f_3387_2]) ).
fof(f_3388_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t49_rmod_4]) ).
fof(f_3388_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3388_1]) ).
cnf(f_3388_3,plain,
$true,
inference(clausify,[status(thm)],[f_3388_2]) ).
fof(f_3389_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t50_rmod_4]) ).
fof(f_3389_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3389_1]) ).
cnf(f_3389_3,plain,
$true,
inference(clausify,[status(thm)],[f_3389_2]) ).
fof(f_3390_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_tarski(k2_rmod_4(A,B,k6_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D)))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t51_rmod_4]) ).
fof(f_3390_2,plain,
! [U_8674] :
( ! [U_8673] :
( ! [U_8672] :
( ! [U_8671] :
( r1_tarski(k2_rmod_4(U_8674,U_8673,k6_rmod_4(U_8674,U_8673,U_8672,U_8671)),k2_rlvect_2(U_8673,k2_rmod_4(U_8674,U_8673,U_8672),k2_rmod_4(U_8674,U_8673,U_8671)))
| ~ m1_rmod_4(U_8671,U_8674,U_8673) )
| ~ m1_rmod_4(U_8672,U_8674,U_8673) )
| ~ l1_vectsp_2(U_8673,U_8674)
| ~ v5_vectsp_2(U_8673,U_8674)
| ~ v6_rlvect_1(U_8673)
| ~ v5_rlvect_1(U_8673)
| ~ v4_rlvect_1(U_8673)
| ~ v3_rlvect_1(U_8673)
| v3_struct_0(U_8673) )
| ~ l3_vectsp_1(U_8674)
| ~ v8_vectsp_1(U_8674)
| ~ v7_vectsp_1(U_8674)
| ~ v6_vectsp_1(U_8674)
| ~ v4_group_1(U_8674)
| ~ v6_rlvect_1(U_8674)
| ~ v5_rlvect_1(U_8674)
| ~ v4_rlvect_1(U_8674)
| ~ v3_rlvect_1(U_8674)
| v3_struct_0(U_8674) ),
inference(variable_rename,[status(thm)],[f_3390_1]) ).
fof(f_3390_3,plain,
! [U_8673,U_8671,U_8674,U_8672] :
( r1_tarski(k2_rmod_4(U_8674,U_8673,k6_rmod_4(U_8674,U_8673,U_8672,U_8671)),k2_rlvect_2(U_8673,k2_rmod_4(U_8674,U_8673,U_8672),k2_rmod_4(U_8674,U_8673,U_8671)))
| ~ m1_rmod_4(U_8671,U_8674,U_8673)
| ~ m1_rmod_4(U_8672,U_8674,U_8673)
| ~ l1_vectsp_2(U_8673,U_8674)
| ~ v5_vectsp_2(U_8673,U_8674)
| ~ v6_rlvect_1(U_8673)
| ~ v5_rlvect_1(U_8673)
| ~ v4_rlvect_1(U_8673)
| ~ v3_rlvect_1(U_8673)
| v3_struct_0(U_8673)
| ~ l3_vectsp_1(U_8674)
| ~ v8_vectsp_1(U_8674)
| ~ v7_vectsp_1(U_8674)
| ~ v6_vectsp_1(U_8674)
| ~ v4_group_1(U_8674)
| ~ v6_rlvect_1(U_8674)
| ~ v5_rlvect_1(U_8674)
| ~ v4_rlvect_1(U_8674)
| ~ v3_rlvect_1(U_8674)
| v3_struct_0(U_8674) ),
inference(definitional_conversion,[status(esa)],[f_3390_2]) ).
cnf(f_3390_4,plain,
( r1_tarski(k2_rmod_4(U_8674,U_8673,k6_rmod_4(U_8674,U_8673,U_8672,U_8671)),k2_rlvect_2(U_8673,k2_rmod_4(U_8674,U_8673,U_8672),k2_rmod_4(U_8674,U_8673,U_8671)))
| ~ m1_rmod_4(U_8671,U_8674,U_8673)
| ~ m1_rmod_4(U_8672,U_8674,U_8673)
| ~ l1_vectsp_2(U_8673,U_8674)
| ~ v5_vectsp_2(U_8673,U_8674)
| ~ v6_rlvect_1(U_8673)
| ~ v5_rlvect_1(U_8673)
| ~ v4_rlvect_1(U_8673)
| ~ v3_rlvect_1(U_8673)
| v3_struct_0(U_8673)
| ~ l3_vectsp_1(U_8674)
| ~ v8_vectsp_1(U_8674)
| ~ v7_vectsp_1(U_8674)
| ~ v6_vectsp_1(U_8674)
| ~ v4_group_1(U_8674)
| ~ v6_rlvect_1(U_8674)
| ~ v5_rlvect_1(U_8674)
| ~ v4_rlvect_1(U_8674)
| ~ v3_rlvect_1(U_8674)
| v3_struct_0(U_8674) ),
inference(clausify,[status(thm)],[f_3390_3]) ).
fof(f_3391_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m2_rmod_4(k6_rmod_4(A,B,D,E),A,B,C)
| ~ m2_rmod_4(E,A,B,C)
| ~ m2_rmod_4(D,A,B,C)
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t52_rmod_4]) ).
fof(f_3391_2,plain,
! [U_8679] :
( ! [U_8678] :
( ! [U_8677] :
( ! [U_8676] :
( ! [U_8675] :
( m2_rmod_4(k6_rmod_4(U_8679,U_8678,U_8676,U_8675),U_8679,U_8678,U_8677)
| ~ m2_rmod_4(U_8675,U_8679,U_8678,U_8677)
| ~ m2_rmod_4(U_8676,U_8679,U_8678,U_8677)
| ~ m1_rmod_4(U_8675,U_8679,U_8678) )
| ~ m1_rmod_4(U_8676,U_8679,U_8678) )
| ~ m1_subset_1(U_8677,k1_zfmisc_1(u1_struct_0(U_8678))) )
| ~ l1_vectsp_2(U_8678,U_8679)
| ~ v5_vectsp_2(U_8678,U_8679)
| ~ v6_rlvect_1(U_8678)
| ~ v5_rlvect_1(U_8678)
| ~ v4_rlvect_1(U_8678)
| ~ v3_rlvect_1(U_8678)
| v3_struct_0(U_8678) )
| ~ l3_vectsp_1(U_8679)
| ~ v8_vectsp_1(U_8679)
| ~ v7_vectsp_1(U_8679)
| ~ v6_vectsp_1(U_8679)
| ~ v4_group_1(U_8679)
| ~ v6_rlvect_1(U_8679)
| ~ v5_rlvect_1(U_8679)
| ~ v4_rlvect_1(U_8679)
| ~ v3_rlvect_1(U_8679)
| v3_struct_0(U_8679) ),
inference(variable_rename,[status(thm)],[f_3391_1]) ).
fof(f_3391_3,plain,
! [U_8679,U_8675,U_8677,U_8676,U_8678] :
( m2_rmod_4(k6_rmod_4(U_8679,U_8678,U_8676,U_8675),U_8679,U_8678,U_8677)
| ~ m2_rmod_4(U_8675,U_8679,U_8678,U_8677)
| ~ m2_rmod_4(U_8676,U_8679,U_8678,U_8677)
| ~ m1_rmod_4(U_8675,U_8679,U_8678)
| ~ m1_rmod_4(U_8676,U_8679,U_8678)
| ~ m1_subset_1(U_8677,k1_zfmisc_1(u1_struct_0(U_8678)))
| ~ l1_vectsp_2(U_8678,U_8679)
| ~ v5_vectsp_2(U_8678,U_8679)
| ~ v6_rlvect_1(U_8678)
| ~ v5_rlvect_1(U_8678)
| ~ v4_rlvect_1(U_8678)
| ~ v3_rlvect_1(U_8678)
| v3_struct_0(U_8678)
| ~ l3_vectsp_1(U_8679)
| ~ v8_vectsp_1(U_8679)
| ~ v7_vectsp_1(U_8679)
| ~ v6_vectsp_1(U_8679)
| ~ v4_group_1(U_8679)
| ~ v6_rlvect_1(U_8679)
| ~ v5_rlvect_1(U_8679)
| ~ v4_rlvect_1(U_8679)
| ~ v3_rlvect_1(U_8679)
| v3_struct_0(U_8679) ),
inference(definitional_conversion,[status(esa)],[f_3391_2]) ).
cnf(f_3391_4,plain,
( m2_rmod_4(k6_rmod_4(U_8679,U_8678,U_8676,U_8675),U_8679,U_8678,U_8677)
| ~ m2_rmod_4(U_8675,U_8679,U_8678,U_8677)
| ~ m2_rmod_4(U_8676,U_8679,U_8678,U_8677)
| ~ m1_rmod_4(U_8675,U_8679,U_8678)
| ~ m1_rmod_4(U_8676,U_8679,U_8678)
| ~ m1_subset_1(U_8677,k1_zfmisc_1(u1_struct_0(U_8678)))
| ~ l1_vectsp_2(U_8678,U_8679)
| ~ v5_vectsp_2(U_8678,U_8679)
| ~ v6_rlvect_1(U_8678)
| ~ v5_rlvect_1(U_8678)
| ~ v4_rlvect_1(U_8678)
| ~ v3_rlvect_1(U_8678)
| v3_struct_0(U_8678)
| ~ l3_vectsp_1(U_8679)
| ~ v8_vectsp_1(U_8679)
| ~ v7_vectsp_1(U_8679)
| ~ v6_vectsp_1(U_8679)
| ~ v4_group_1(U_8679)
| ~ v6_rlvect_1(U_8679)
| ~ v5_rlvect_1(U_8679)
| ~ v4_rlvect_1(U_8679)
| ~ v3_rlvect_1(U_8679)
| v3_struct_0(U_8679) ),
inference(clausify,[status(thm)],[f_3391_3]) ).
fof(f_3392_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k6_rmod_4(A,B,D,C))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t53_rmod_4]) ).
fof(f_3392_2,plain,
! [U_8683] :
( ! [U_8682] :
( ! [U_8681] :
( ! [U_8680] :
( r1_rmod_4(U_8683,U_8682,k6_rmod_4(U_8683,U_8682,U_8681,U_8680),k6_rmod_4(U_8683,U_8682,U_8680,U_8681))
| ~ m1_rmod_4(U_8680,U_8683,U_8682) )
| ~ m1_rmod_4(U_8681,U_8683,U_8682) )
| ~ l1_vectsp_2(U_8682,U_8683)
| ~ v5_vectsp_2(U_8682,U_8683)
| ~ v6_rlvect_1(U_8682)
| ~ v5_rlvect_1(U_8682)
| ~ v4_rlvect_1(U_8682)
| ~ v3_rlvect_1(U_8682)
| v3_struct_0(U_8682) )
| ~ l3_vectsp_1(U_8683)
| ~ v8_vectsp_1(U_8683)
| ~ v7_vectsp_1(U_8683)
| ~ v6_vectsp_1(U_8683)
| ~ v7_group_1(U_8683)
| ~ v4_group_1(U_8683)
| ~ v6_rlvect_1(U_8683)
| ~ v5_rlvect_1(U_8683)
| ~ v4_rlvect_1(U_8683)
| ~ v3_rlvect_1(U_8683)
| v3_struct_0(U_8683) ),
inference(variable_rename,[status(thm)],[f_3392_1]) ).
fof(f_3392_3,plain,
! [U_8680,U_8682,U_8683,U_8681] :
( r1_rmod_4(U_8683,U_8682,k6_rmod_4(U_8683,U_8682,U_8681,U_8680),k6_rmod_4(U_8683,U_8682,U_8680,U_8681))
| ~ m1_rmod_4(U_8680,U_8683,U_8682)
| ~ m1_rmod_4(U_8681,U_8683,U_8682)
| ~ l1_vectsp_2(U_8682,U_8683)
| ~ v5_vectsp_2(U_8682,U_8683)
| ~ v6_rlvect_1(U_8682)
| ~ v5_rlvect_1(U_8682)
| ~ v4_rlvect_1(U_8682)
| ~ v3_rlvect_1(U_8682)
| v3_struct_0(U_8682)
| ~ l3_vectsp_1(U_8683)
| ~ v8_vectsp_1(U_8683)
| ~ v7_vectsp_1(U_8683)
| ~ v6_vectsp_1(U_8683)
| ~ v7_group_1(U_8683)
| ~ v4_group_1(U_8683)
| ~ v6_rlvect_1(U_8683)
| ~ v5_rlvect_1(U_8683)
| ~ v4_rlvect_1(U_8683)
| ~ v3_rlvect_1(U_8683)
| v3_struct_0(U_8683) ),
inference(definitional_conversion,[status(esa)],[f_3392_2]) ).
cnf(f_3392_4,plain,
( r1_rmod_4(U_8683,U_8682,k6_rmod_4(U_8683,U_8682,U_8681,U_8680),k6_rmod_4(U_8683,U_8682,U_8680,U_8681))
| ~ m1_rmod_4(U_8680,U_8683,U_8682)
| ~ m1_rmod_4(U_8681,U_8683,U_8682)
| ~ l1_vectsp_2(U_8682,U_8683)
| ~ v5_vectsp_2(U_8682,U_8683)
| ~ v6_rlvect_1(U_8682)
| ~ v5_rlvect_1(U_8682)
| ~ v4_rlvect_1(U_8682)
| ~ v3_rlvect_1(U_8682)
| v3_struct_0(U_8682)
| ~ l3_vectsp_1(U_8683)
| ~ v8_vectsp_1(U_8683)
| ~ v7_vectsp_1(U_8683)
| ~ v6_vectsp_1(U_8683)
| ~ v7_group_1(U_8683)
| ~ v4_group_1(U_8683)
| ~ v6_rlvect_1(U_8683)
| ~ v5_rlvect_1(U_8683)
| ~ v4_rlvect_1(U_8683)
| ~ v3_rlvect_1(U_8683)
| v3_struct_0(U_8683) ),
inference(clausify,[status(thm)],[f_3392_3]) ).
fof(f_3393_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rmod_4(A,B,k6_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k6_rmod_4(A,B,C,D),E))
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t54_rmod_4]) ).
fof(f_3393_2,plain,
! [U_8688] :
( ! [U_8687] :
( ! [U_8686] :
( ! [U_8685] :
( ! [U_8684] :
( r1_rmod_4(U_8688,U_8687,k6_rmod_4(U_8688,U_8687,U_8686,k6_rmod_4(U_8688,U_8687,U_8685,U_8684)),k6_rmod_4(U_8688,U_8687,k6_rmod_4(U_8688,U_8687,U_8686,U_8685),U_8684))
| ~ m1_rmod_4(U_8684,U_8688,U_8687) )
| ~ m1_rmod_4(U_8685,U_8688,U_8687) )
| ~ m1_rmod_4(U_8686,U_8688,U_8687) )
| ~ l1_vectsp_2(U_8687,U_8688)
| ~ v5_vectsp_2(U_8687,U_8688)
| ~ v6_rlvect_1(U_8687)
| ~ v5_rlvect_1(U_8687)
| ~ v4_rlvect_1(U_8687)
| ~ v3_rlvect_1(U_8687)
| v3_struct_0(U_8687) )
| ~ l3_vectsp_1(U_8688)
| ~ v8_vectsp_1(U_8688)
| ~ v7_vectsp_1(U_8688)
| ~ v6_vectsp_1(U_8688)
| ~ v4_group_1(U_8688)
| ~ v6_rlvect_1(U_8688)
| ~ v5_rlvect_1(U_8688)
| ~ v4_rlvect_1(U_8688)
| ~ v3_rlvect_1(U_8688)
| v3_struct_0(U_8688) ),
inference(variable_rename,[status(thm)],[f_3393_1]) ).
fof(f_3393_3,plain,
! [U_8685,U_8687,U_8686,U_8684,U_8688] :
( r1_rmod_4(U_8688,U_8687,k6_rmod_4(U_8688,U_8687,U_8686,k6_rmod_4(U_8688,U_8687,U_8685,U_8684)),k6_rmod_4(U_8688,U_8687,k6_rmod_4(U_8688,U_8687,U_8686,U_8685),U_8684))
| ~ m1_rmod_4(U_8684,U_8688,U_8687)
| ~ m1_rmod_4(U_8685,U_8688,U_8687)
| ~ m1_rmod_4(U_8686,U_8688,U_8687)
| ~ l1_vectsp_2(U_8687,U_8688)
| ~ v5_vectsp_2(U_8687,U_8688)
| ~ v6_rlvect_1(U_8687)
| ~ v5_rlvect_1(U_8687)
| ~ v4_rlvect_1(U_8687)
| ~ v3_rlvect_1(U_8687)
| v3_struct_0(U_8687)
| ~ l3_vectsp_1(U_8688)
| ~ v8_vectsp_1(U_8688)
| ~ v7_vectsp_1(U_8688)
| ~ v6_vectsp_1(U_8688)
| ~ v4_group_1(U_8688)
| ~ v6_rlvect_1(U_8688)
| ~ v5_rlvect_1(U_8688)
| ~ v4_rlvect_1(U_8688)
| ~ v3_rlvect_1(U_8688)
| v3_struct_0(U_8688) ),
inference(definitional_conversion,[status(esa)],[f_3393_2]) ).
cnf(f_3393_4,plain,
( r1_rmod_4(U_8688,U_8687,k6_rmod_4(U_8688,U_8687,U_8686,k6_rmod_4(U_8688,U_8687,U_8685,U_8684)),k6_rmod_4(U_8688,U_8687,k6_rmod_4(U_8688,U_8687,U_8686,U_8685),U_8684))
| ~ m1_rmod_4(U_8684,U_8688,U_8687)
| ~ m1_rmod_4(U_8685,U_8688,U_8687)
| ~ m1_rmod_4(U_8686,U_8688,U_8687)
| ~ l1_vectsp_2(U_8687,U_8688)
| ~ v5_vectsp_2(U_8687,U_8688)
| ~ v6_rlvect_1(U_8687)
| ~ v5_rlvect_1(U_8687)
| ~ v4_rlvect_1(U_8687)
| ~ v3_rlvect_1(U_8687)
| v3_struct_0(U_8687)
| ~ l3_vectsp_1(U_8688)
| ~ v8_vectsp_1(U_8688)
| ~ v7_vectsp_1(U_8688)
| ~ v6_vectsp_1(U_8688)
| ~ v4_group_1(U_8688)
| ~ v6_rlvect_1(U_8688)
| ~ v5_rlvect_1(U_8688)
| ~ v4_rlvect_1(U_8688)
| ~ v3_rlvect_1(U_8688)
| v3_struct_0(U_8688) ),
inference(clausify,[status(thm)],[f_3393_3]) ).
fof(f_3394_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( r1_rmod_4(A,B,k6_rmod_4(A,B,k3_rmod_4(A,B),C),C)
& r1_rmod_4(A,B,k6_rmod_4(A,B,C,k3_rmod_4(A,B)),C) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t55_rmod_4]) ).
fof(f_3394_2,plain,
! [U_8691] :
( ! [U_8690] :
( ! [U_8689] :
( ( r1_rmod_4(U_8691,U_8690,k6_rmod_4(U_8691,U_8690,k3_rmod_4(U_8691,U_8690),U_8689),U_8689)
& r1_rmod_4(U_8691,U_8690,k6_rmod_4(U_8691,U_8690,U_8689,k3_rmod_4(U_8691,U_8690)),U_8689) )
| ~ m1_rmod_4(U_8689,U_8691,U_8690) )
| ~ l1_vectsp_2(U_8690,U_8691)
| ~ v5_vectsp_2(U_8690,U_8691)
| ~ v6_rlvect_1(U_8690)
| ~ v5_rlvect_1(U_8690)
| ~ v4_rlvect_1(U_8690)
| ~ v3_rlvect_1(U_8690)
| v3_struct_0(U_8690) )
| ~ l3_vectsp_1(U_8691)
| ~ v8_vectsp_1(U_8691)
| ~ v7_vectsp_1(U_8691)
| ~ v6_vectsp_1(U_8691)
| ~ v7_group_1(U_8691)
| ~ v4_group_1(U_8691)
| ~ v6_rlvect_1(U_8691)
| ~ v5_rlvect_1(U_8691)
| ~ v4_rlvect_1(U_8691)
| ~ v3_rlvect_1(U_8691)
| v3_struct_0(U_8691) ),
inference(variable_rename,[status(thm)],[f_3394_1]) ).
fof(f_3394_3,plain,
( ! [U_8691,U_8689,U_8690] :
( r1_rmod_4(U_8691,U_8690,k6_rmod_4(U_8691,U_8690,k3_rmod_4(U_8691,U_8690),U_8689),U_8689)
| ~ sP1526(U_8691,U_8689,U_8690) )
& ! [U_8691,U_8689,U_8690] :
( r1_rmod_4(U_8691,U_8690,k6_rmod_4(U_8691,U_8690,U_8689,k3_rmod_4(U_8691,U_8690)),U_8689)
| ~ sP1526(U_8691,U_8689,U_8690) )
& ! [U_8691,U_8689,U_8690] :
( sP1526(U_8691,U_8689,U_8690)
| ~ m1_rmod_4(U_8689,U_8691,U_8690)
| ~ l1_vectsp_2(U_8690,U_8691)
| ~ v5_vectsp_2(U_8690,U_8691)
| ~ v6_rlvect_1(U_8690)
| ~ v5_rlvect_1(U_8690)
| ~ v4_rlvect_1(U_8690)
| ~ v3_rlvect_1(U_8690)
| v3_struct_0(U_8690)
| ~ l3_vectsp_1(U_8691)
| ~ v8_vectsp_1(U_8691)
| ~ v7_vectsp_1(U_8691)
| ~ v6_vectsp_1(U_8691)
| ~ v7_group_1(U_8691)
| ~ v4_group_1(U_8691)
| ~ v6_rlvect_1(U_8691)
| ~ v5_rlvect_1(U_8691)
| ~ v4_rlvect_1(U_8691)
| ~ v3_rlvect_1(U_8691)
| v3_struct_0(U_8691) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1526])],[f_3394_2]) ).
cnf(f_3394_4,plain,
( sP1526(U_8691,U_8689,U_8690)
| ~ m1_rmod_4(U_8689,U_8691,U_8690)
| ~ l1_vectsp_2(U_8690,U_8691)
| ~ v5_vectsp_2(U_8690,U_8691)
| ~ v6_rlvect_1(U_8690)
| ~ v5_rlvect_1(U_8690)
| ~ v4_rlvect_1(U_8690)
| ~ v3_rlvect_1(U_8690)
| v3_struct_0(U_8690)
| ~ l3_vectsp_1(U_8691)
| ~ v8_vectsp_1(U_8691)
| ~ v7_vectsp_1(U_8691)
| ~ v6_vectsp_1(U_8691)
| ~ v7_group_1(U_8691)
| ~ v4_group_1(U_8691)
| ~ v6_rlvect_1(U_8691)
| ~ v5_rlvect_1(U_8691)
| ~ v4_rlvect_1(U_8691)
| ~ v3_rlvect_1(U_8691)
| v3_struct_0(U_8691) ),
inference(clausify,[status(thm)],[f_3394_3]) ).
cnf(f_3394_5,plain,
( r1_rmod_4(U_8691,U_8690,k6_rmod_4(U_8691,U_8690,U_8689,k3_rmod_4(U_8691,U_8690)),U_8689)
| ~ sP1526(U_8691,U_8689,U_8690) ),
inference(clausify,[status(thm)],[f_3394_3]) ).
cnf(f_3394_6,plain,
( r1_rmod_4(U_8691,U_8690,k6_rmod_4(U_8691,U_8690,k3_rmod_4(U_8691,U_8690),U_8689),U_8689)
| ~ sP1526(U_8691,U_8689,U_8690) ),
inference(clausify,[status(thm)],[f_3394_3]) ).
fof(f_3395_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( E = k7_rmod_4(A,B,C,D)
| ? [F] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) != k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C)
& m1_subset_1(F,u1_struct_0(B)) ) )
& ( ! [F] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C)
| ~ m1_subset_1(F,u1_struct_0(B)) )
| E != k7_rmod_4(A,B,C,D) ) )
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d12_rmod_4]) ).
fof(f_3395_2,plain,
! [U_8698] :
( ! [U_8697] :
( ! [U_8696] :
( ! [U_8695] :
( ! [U_8694] :
( ( ( U_8694 = k7_rmod_4(U_8698,U_8697,U_8696,U_8695)
| ? [U_8693] :
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,U_8693) != k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,U_8693),U_8696)
& m1_subset_1(U_8693,u1_struct_0(U_8697)) ) )
& ( ! [U_8692] :
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,U_8692) = k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,U_8692),U_8696)
| ~ m1_subset_1(U_8692,u1_struct_0(U_8697)) )
| U_8694 != k7_rmod_4(U_8698,U_8697,U_8696,U_8695) ) )
| ~ m1_rmod_4(U_8694,U_8698,U_8697) )
| ~ m1_rmod_4(U_8695,U_8698,U_8697) )
| ~ m1_subset_1(U_8696,u1_struct_0(U_8698)) )
| ~ l1_vectsp_2(U_8697,U_8698)
| ~ v5_vectsp_2(U_8697,U_8698)
| ~ v6_rlvect_1(U_8697)
| ~ v5_rlvect_1(U_8697)
| ~ v4_rlvect_1(U_8697)
| ~ v3_rlvect_1(U_8697)
| v3_struct_0(U_8697) )
| ~ l3_vectsp_1(U_8698)
| ~ v8_vectsp_1(U_8698)
| ~ v7_vectsp_1(U_8698)
| ~ v6_vectsp_1(U_8698)
| ~ v4_group_1(U_8698)
| ~ v6_rlvect_1(U_8698)
| ~ v5_rlvect_1(U_8698)
| ~ v4_rlvect_1(U_8698)
| ~ v3_rlvect_1(U_8698)
| v3_struct_0(U_8698) ),
inference(variable_rename,[status(thm)],[f_3395_1]) ).
fof(f_3395_3,plain,
! [U_8698] :
( ! [U_8697] :
( ! [U_8696] :
( ! [U_8695] :
( ! [U_8694] :
( ( ( U_8694 = k7_rmod_4(U_8698,U_8697,U_8696,U_8695)
| ( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,sK999(U_8698,U_8697,U_8696,U_8695,U_8694)) != k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,sK999(U_8698,U_8697,U_8696,U_8695,U_8694)),U_8696)
& m1_subset_1(sK999(U_8698,U_8697,U_8696,U_8695,U_8694),u1_struct_0(U_8697)) ) )
& ( ! [U_8692] :
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,U_8692) = k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,U_8692),U_8696)
| ~ m1_subset_1(U_8692,u1_struct_0(U_8697)) )
| U_8694 != k7_rmod_4(U_8698,U_8697,U_8696,U_8695) ) )
| ~ m1_rmod_4(U_8694,U_8698,U_8697) )
| ~ m1_rmod_4(U_8695,U_8698,U_8697) )
| ~ m1_subset_1(U_8696,u1_struct_0(U_8698)) )
| ~ l1_vectsp_2(U_8697,U_8698)
| ~ v5_vectsp_2(U_8697,U_8698)
| ~ v6_rlvect_1(U_8697)
| ~ v5_rlvect_1(U_8697)
| ~ v4_rlvect_1(U_8697)
| ~ v3_rlvect_1(U_8697)
| v3_struct_0(U_8697) )
| ~ l3_vectsp_1(U_8698)
| ~ v8_vectsp_1(U_8698)
| ~ v7_vectsp_1(U_8698)
| ~ v6_vectsp_1(U_8698)
| ~ v4_group_1(U_8698)
| ~ v6_rlvect_1(U_8698)
| ~ v5_rlvect_1(U_8698)
| ~ v4_rlvect_1(U_8698)
| ~ v3_rlvect_1(U_8698)
| v3_struct_0(U_8698) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK999]),skolemize(U_8693,sK999(U_8698,U_8697,U_8696,U_8695,U_8694))],[f_3395_2]) ).
fof(f_3395_4,plain,
( ! [U_8698,U_8694,U_8695,U_8696,U_8697] :
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,sK999(U_8698,U_8697,U_8696,U_8695,U_8694)) != k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,sK999(U_8698,U_8697,U_8696,U_8695,U_8694)),U_8696)
| ~ sP1527(U_8698,U_8694,U_8695,U_8696,U_8697) )
& ! [U_8698,U_8694,U_8695,U_8696,U_8697] :
( m1_subset_1(sK999(U_8698,U_8697,U_8696,U_8695,U_8694),u1_struct_0(U_8697))
| ~ sP1527(U_8698,U_8694,U_8695,U_8696,U_8697) )
& ! [U_8698,U_8692,U_8694,U_8695,U_8696,U_8697] :
( U_8694 = k7_rmod_4(U_8698,U_8697,U_8696,U_8695)
| sP1527(U_8698,U_8694,U_8695,U_8696,U_8697)
| ~ sP1528(U_8698,U_8692,U_8694,U_8695,U_8696,U_8697) )
& ! [U_8698,U_8692,U_8694,U_8695,U_8696,U_8697] :
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,U_8692) = k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,U_8692),U_8696)
| ~ m1_subset_1(U_8692,u1_struct_0(U_8697))
| U_8694 != k7_rmod_4(U_8698,U_8697,U_8696,U_8695)
| ~ sP1528(U_8698,U_8692,U_8694,U_8695,U_8696,U_8697) )
& ! [U_8698,U_8692,U_8694,U_8695,U_8696,U_8697] :
( sP1528(U_8698,U_8692,U_8694,U_8695,U_8696,U_8697)
| ~ m1_rmod_4(U_8694,U_8698,U_8697)
| ~ m1_rmod_4(U_8695,U_8698,U_8697)
| ~ m1_subset_1(U_8696,u1_struct_0(U_8698))
| ~ l1_vectsp_2(U_8697,U_8698)
| ~ v5_vectsp_2(U_8697,U_8698)
| ~ v6_rlvect_1(U_8697)
| ~ v5_rlvect_1(U_8697)
| ~ v4_rlvect_1(U_8697)
| ~ v3_rlvect_1(U_8697)
| v3_struct_0(U_8697)
| ~ l3_vectsp_1(U_8698)
| ~ v8_vectsp_1(U_8698)
| ~ v7_vectsp_1(U_8698)
| ~ v6_vectsp_1(U_8698)
| ~ v4_group_1(U_8698)
| ~ v6_rlvect_1(U_8698)
| ~ v5_rlvect_1(U_8698)
| ~ v4_rlvect_1(U_8698)
| ~ v3_rlvect_1(U_8698)
| v3_struct_0(U_8698) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1527,sP1528])],[f_3395_3]) ).
cnf(f_3395_5,plain,
( sP1528(U_8698,U_8692,U_8694,U_8695,U_8696,U_8697)
| ~ m1_rmod_4(U_8694,U_8698,U_8697)
| ~ m1_rmod_4(U_8695,U_8698,U_8697)
| ~ m1_subset_1(U_8696,u1_struct_0(U_8698))
| ~ l1_vectsp_2(U_8697,U_8698)
| ~ v5_vectsp_2(U_8697,U_8698)
| ~ v6_rlvect_1(U_8697)
| ~ v5_rlvect_1(U_8697)
| ~ v4_rlvect_1(U_8697)
| ~ v3_rlvect_1(U_8697)
| v3_struct_0(U_8697)
| ~ l3_vectsp_1(U_8698)
| ~ v8_vectsp_1(U_8698)
| ~ v7_vectsp_1(U_8698)
| ~ v6_vectsp_1(U_8698)
| ~ v4_group_1(U_8698)
| ~ v6_rlvect_1(U_8698)
| ~ v5_rlvect_1(U_8698)
| ~ v4_rlvect_1(U_8698)
| ~ v3_rlvect_1(U_8698)
| v3_struct_0(U_8698) ),
inference(clausify,[status(thm)],[f_3395_4]) ).
cnf(f_3395_6,plain,
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,U_8692) = k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,U_8692),U_8696)
| ~ m1_subset_1(U_8692,u1_struct_0(U_8697))
| U_8694 != k7_rmod_4(U_8698,U_8697,U_8696,U_8695)
| ~ sP1528(U_8698,U_8692,U_8694,U_8695,U_8696,U_8697) ),
inference(clausify,[status(thm)],[f_3395_4]) ).
cnf(f_3395_7,plain,
( U_8694 = k7_rmod_4(U_8698,U_8697,U_8696,U_8695)
| sP1527(U_8698,U_8694,U_8695,U_8696,U_8697)
| ~ sP1528(U_8698,U_8692,U_8694,U_8695,U_8696,U_8697) ),
inference(clausify,[status(thm)],[f_3395_4]) ).
cnf(f_3395_8,plain,
( m1_subset_1(sK999(U_8698,U_8697,U_8696,U_8695,U_8694),u1_struct_0(U_8697))
| ~ sP1527(U_8698,U_8694,U_8695,U_8696,U_8697) ),
inference(clausify,[status(thm)],[f_3395_4]) ).
cnf(f_3395_9,plain,
( k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8694,sK999(U_8698,U_8697,U_8696,U_8695,U_8694)) != k1_group_1(U_8698,k8_funct_2(u1_struct_0(U_8697),u1_struct_0(U_8698),U_8695,sK999(U_8698,U_8697,U_8696,U_8695,U_8694)),U_8696)
| ~ sP1527(U_8698,U_8694,U_8695,U_8696,U_8697) ),
inference(clausify,[status(thm)],[f_3395_4]) ).
fof(f_3396_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t56_rmod_4]) ).
fof(f_3396_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3396_1]) ).
cnf(f_3396_3,plain,
$true,
inference(clausify,[status(thm)],[f_3396_2]) ).
fof(f_3397_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t57_rmod_4]) ).
fof(f_3397_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3397_1]) ).
cnf(f_3397_3,plain,
$true,
inference(clausify,[status(thm)],[f_3397_2]) ).
fof(f_3398_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_tarski(k2_rmod_4(A,B,k7_rmod_4(A,B,C,D)),k2_rmod_4(A,B,D))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t58_rmod_4]) ).
fof(f_3398_2,plain,
! [U_8702] :
( ! [U_8701] :
( ! [U_8700] :
( ! [U_8699] :
( r1_tarski(k2_rmod_4(U_8702,U_8701,k7_rmod_4(U_8702,U_8701,U_8700,U_8699)),k2_rmod_4(U_8702,U_8701,U_8699))
| ~ m1_rmod_4(U_8699,U_8702,U_8701) )
| ~ m1_subset_1(U_8700,u1_struct_0(U_8702)) )
| ~ l1_vectsp_2(U_8701,U_8702)
| ~ v5_vectsp_2(U_8701,U_8702)
| ~ v6_rlvect_1(U_8701)
| ~ v5_rlvect_1(U_8701)
| ~ v4_rlvect_1(U_8701)
| ~ v3_rlvect_1(U_8701)
| v3_struct_0(U_8701) )
| ~ l3_vectsp_1(U_8702)
| ~ v8_vectsp_1(U_8702)
| ~ v7_vectsp_1(U_8702)
| ~ v6_vectsp_1(U_8702)
| ~ v4_group_1(U_8702)
| ~ v6_rlvect_1(U_8702)
| ~ v5_rlvect_1(U_8702)
| ~ v4_rlvect_1(U_8702)
| ~ v3_rlvect_1(U_8702)
| v3_struct_0(U_8702) ),
inference(variable_rename,[status(thm)],[f_3398_1]) ).
fof(f_3398_3,plain,
! [U_8699,U_8702,U_8700,U_8701] :
( r1_tarski(k2_rmod_4(U_8702,U_8701,k7_rmod_4(U_8702,U_8701,U_8700,U_8699)),k2_rmod_4(U_8702,U_8701,U_8699))
| ~ m1_rmod_4(U_8699,U_8702,U_8701)
| ~ m1_subset_1(U_8700,u1_struct_0(U_8702))
| ~ l1_vectsp_2(U_8701,U_8702)
| ~ v5_vectsp_2(U_8701,U_8702)
| ~ v6_rlvect_1(U_8701)
| ~ v5_rlvect_1(U_8701)
| ~ v4_rlvect_1(U_8701)
| ~ v3_rlvect_1(U_8701)
| v3_struct_0(U_8701)
| ~ l3_vectsp_1(U_8702)
| ~ v8_vectsp_1(U_8702)
| ~ v7_vectsp_1(U_8702)
| ~ v6_vectsp_1(U_8702)
| ~ v4_group_1(U_8702)
| ~ v6_rlvect_1(U_8702)
| ~ v5_rlvect_1(U_8702)
| ~ v4_rlvect_1(U_8702)
| ~ v3_rlvect_1(U_8702)
| v3_struct_0(U_8702) ),
inference(definitional_conversion,[status(esa)],[f_3398_2]) ).
cnf(f_3398_4,plain,
( r1_tarski(k2_rmod_4(U_8702,U_8701,k7_rmod_4(U_8702,U_8701,U_8700,U_8699)),k2_rmod_4(U_8702,U_8701,U_8699))
| ~ m1_rmod_4(U_8699,U_8702,U_8701)
| ~ m1_subset_1(U_8700,u1_struct_0(U_8702))
| ~ l1_vectsp_2(U_8701,U_8702)
| ~ v5_vectsp_2(U_8701,U_8702)
| ~ v6_rlvect_1(U_8701)
| ~ v5_rlvect_1(U_8701)
| ~ v4_rlvect_1(U_8701)
| ~ v3_rlvect_1(U_8701)
| v3_struct_0(U_8701)
| ~ l3_vectsp_1(U_8702)
| ~ v8_vectsp_1(U_8702)
| ~ v7_vectsp_1(U_8702)
| ~ v6_vectsp_1(U_8702)
| ~ v4_group_1(U_8702)
| ~ v6_rlvect_1(U_8702)
| ~ v5_rlvect_1(U_8702)
| ~ v4_rlvect_1(U_8702)
| ~ v3_rlvect_1(U_8702)
| v3_struct_0(U_8702) ),
inference(clausify,[status(thm)],[f_3398_3]) ).
fof(f_3399_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k2_rmod_4(A,B,k7_rmod_4(A,B,D,C)) = k2_rmod_4(A,B,C)
| D = k1_rlvect_1(A)
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_rmod_4]) ).
fof(f_3399_2,plain,
! [U_8706] :
( ! [U_8705] :
( ! [U_8704] :
( ! [U_8703] :
( k2_rmod_4(U_8706,U_8705,k7_rmod_4(U_8706,U_8705,U_8703,U_8704)) = k2_rmod_4(U_8706,U_8705,U_8704)
| U_8703 = k1_rlvect_1(U_8706)
| ~ m1_subset_1(U_8703,u1_struct_0(U_8706)) )
| ~ m1_rmod_4(U_8704,U_8706,U_8705) )
| ~ l1_vectsp_2(U_8705,U_8706)
| ~ v5_vectsp_2(U_8705,U_8706)
| ~ v6_rlvect_1(U_8705)
| ~ v5_rlvect_1(U_8705)
| ~ v4_rlvect_1(U_8705)
| ~ v3_rlvect_1(U_8705)
| v3_struct_0(U_8705) )
| ~ l3_vectsp_1(U_8706)
| ~ v2_vectsp_2(U_8706)
| v10_vectsp_1(U_8706)
| ~ v8_vectsp_1(U_8706)
| ~ v7_vectsp_1(U_8706)
| ~ v6_vectsp_1(U_8706)
| ~ v7_group_1(U_8706)
| ~ v4_group_1(U_8706)
| ~ v6_rlvect_1(U_8706)
| ~ v5_rlvect_1(U_8706)
| ~ v4_rlvect_1(U_8706)
| ~ v3_rlvect_1(U_8706)
| v3_struct_0(U_8706) ),
inference(variable_rename,[status(thm)],[f_3399_1]) ).
fof(f_3399_3,plain,
! [U_8704,U_8706,U_8705,U_8703] :
( k2_rmod_4(U_8706,U_8705,k7_rmod_4(U_8706,U_8705,U_8703,U_8704)) = k2_rmod_4(U_8706,U_8705,U_8704)
| U_8703 = k1_rlvect_1(U_8706)
| ~ m1_subset_1(U_8703,u1_struct_0(U_8706))
| ~ m1_rmod_4(U_8704,U_8706,U_8705)
| ~ l1_vectsp_2(U_8705,U_8706)
| ~ v5_vectsp_2(U_8705,U_8706)
| ~ v6_rlvect_1(U_8705)
| ~ v5_rlvect_1(U_8705)
| ~ v4_rlvect_1(U_8705)
| ~ v3_rlvect_1(U_8705)
| v3_struct_0(U_8705)
| ~ l3_vectsp_1(U_8706)
| ~ v2_vectsp_2(U_8706)
| v10_vectsp_1(U_8706)
| ~ v8_vectsp_1(U_8706)
| ~ v7_vectsp_1(U_8706)
| ~ v6_vectsp_1(U_8706)
| ~ v7_group_1(U_8706)
| ~ v4_group_1(U_8706)
| ~ v6_rlvect_1(U_8706)
| ~ v5_rlvect_1(U_8706)
| ~ v4_rlvect_1(U_8706)
| ~ v3_rlvect_1(U_8706)
| v3_struct_0(U_8706) ),
inference(definitional_conversion,[status(esa)],[f_3399_2]) ).
cnf(f_3399_4,plain,
( k2_rmod_4(U_8706,U_8705,k7_rmod_4(U_8706,U_8705,U_8703,U_8704)) = k2_rmod_4(U_8706,U_8705,U_8704)
| U_8703 = k1_rlvect_1(U_8706)
| ~ m1_subset_1(U_8703,u1_struct_0(U_8706))
| ~ m1_rmod_4(U_8704,U_8706,U_8705)
| ~ l1_vectsp_2(U_8705,U_8706)
| ~ v5_vectsp_2(U_8705,U_8706)
| ~ v6_rlvect_1(U_8705)
| ~ v5_rlvect_1(U_8705)
| ~ v4_rlvect_1(U_8705)
| ~ v3_rlvect_1(U_8705)
| v3_struct_0(U_8705)
| ~ l3_vectsp_1(U_8706)
| ~ v2_vectsp_2(U_8706)
| v10_vectsp_1(U_8706)
| ~ v8_vectsp_1(U_8706)
| ~ v7_vectsp_1(U_8706)
| ~ v6_vectsp_1(U_8706)
| ~ v7_group_1(U_8706)
| ~ v4_group_1(U_8706)
| ~ v6_rlvect_1(U_8706)
| ~ v5_rlvect_1(U_8706)
| ~ v4_rlvect_1(U_8706)
| ~ v3_rlvect_1(U_8706)
| v3_struct_0(U_8706) ),
inference(clausify,[status(thm)],[f_3399_3]) ).
fof(f_3400_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rmod_4(A,B,k7_rmod_4(A,B,k1_rlvect_1(A),C),k3_rmod_4(A,B))
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t60_rmod_4]) ).
fof(f_3400_2,plain,
! [U_8709] :
( ! [U_8708] :
( ! [U_8707] :
( r1_rmod_4(U_8709,U_8708,k7_rmod_4(U_8709,U_8708,k1_rlvect_1(U_8709),U_8707),k3_rmod_4(U_8709,U_8708))
| ~ m1_rmod_4(U_8707,U_8709,U_8708) )
| ~ l1_vectsp_2(U_8708,U_8709)
| ~ v5_vectsp_2(U_8708,U_8709)
| ~ v6_rlvect_1(U_8708)
| ~ v5_rlvect_1(U_8708)
| ~ v4_rlvect_1(U_8708)
| ~ v3_rlvect_1(U_8708)
| v3_struct_0(U_8708) )
| ~ l3_vectsp_1(U_8709)
| ~ v8_vectsp_1(U_8709)
| ~ v7_vectsp_1(U_8709)
| ~ v6_vectsp_1(U_8709)
| ~ v4_group_1(U_8709)
| ~ v6_rlvect_1(U_8709)
| ~ v5_rlvect_1(U_8709)
| ~ v4_rlvect_1(U_8709)
| ~ v3_rlvect_1(U_8709)
| v3_struct_0(U_8709) ),
inference(variable_rename,[status(thm)],[f_3400_1]) ).
fof(f_3400_3,plain,
! [U_8709,U_8707,U_8708] :
( r1_rmod_4(U_8709,U_8708,k7_rmod_4(U_8709,U_8708,k1_rlvect_1(U_8709),U_8707),k3_rmod_4(U_8709,U_8708))
| ~ m1_rmod_4(U_8707,U_8709,U_8708)
| ~ l1_vectsp_2(U_8708,U_8709)
| ~ v5_vectsp_2(U_8708,U_8709)
| ~ v6_rlvect_1(U_8708)
| ~ v5_rlvect_1(U_8708)
| ~ v4_rlvect_1(U_8708)
| ~ v3_rlvect_1(U_8708)
| v3_struct_0(U_8708)
| ~ l3_vectsp_1(U_8709)
| ~ v8_vectsp_1(U_8709)
| ~ v7_vectsp_1(U_8709)
| ~ v6_vectsp_1(U_8709)
| ~ v4_group_1(U_8709)
| ~ v6_rlvect_1(U_8709)
| ~ v5_rlvect_1(U_8709)
| ~ v4_rlvect_1(U_8709)
| ~ v3_rlvect_1(U_8709)
| v3_struct_0(U_8709) ),
inference(definitional_conversion,[status(esa)],[f_3400_2]) ).
cnf(f_3400_4,plain,
( r1_rmod_4(U_8709,U_8708,k7_rmod_4(U_8709,U_8708,k1_rlvect_1(U_8709),U_8707),k3_rmod_4(U_8709,U_8708))
| ~ m1_rmod_4(U_8707,U_8709,U_8708)
| ~ l1_vectsp_2(U_8708,U_8709)
| ~ v5_vectsp_2(U_8708,U_8709)
| ~ v6_rlvect_1(U_8708)
| ~ v5_rlvect_1(U_8708)
| ~ v4_rlvect_1(U_8708)
| ~ v3_rlvect_1(U_8708)
| v3_struct_0(U_8708)
| ~ l3_vectsp_1(U_8709)
| ~ v8_vectsp_1(U_8709)
| ~ v7_vectsp_1(U_8709)
| ~ v6_vectsp_1(U_8709)
| ~ v4_group_1(U_8709)
| ~ v6_rlvect_1(U_8709)
| ~ v5_rlvect_1(U_8709)
| ~ v4_rlvect_1(U_8709)
| ~ v3_rlvect_1(U_8709)
| v3_struct_0(U_8709) ),
inference(clausify,[status(thm)],[f_3400_3]) ).
fof(f_3401_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m2_rmod_4(k7_rmod_4(A,B,C,E),A,B,D)
| ~ m2_rmod_4(E,A,B,D)
| ~ m1_rmod_4(E,A,B) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t61_rmod_4]) ).
fof(f_3401_2,plain,
! [U_8714] :
( ! [U_8713] :
( ! [U_8712] :
( ! [U_8711] :
( ! [U_8710] :
( m2_rmod_4(k7_rmod_4(U_8714,U_8713,U_8712,U_8710),U_8714,U_8713,U_8711)
| ~ m2_rmod_4(U_8710,U_8714,U_8713,U_8711)
| ~ m1_rmod_4(U_8710,U_8714,U_8713) )
| ~ m1_subset_1(U_8711,k1_zfmisc_1(u1_struct_0(U_8713))) )
| ~ m1_subset_1(U_8712,u1_struct_0(U_8714)) )
| ~ l1_vectsp_2(U_8713,U_8714)
| ~ v5_vectsp_2(U_8713,U_8714)
| ~ v6_rlvect_1(U_8713)
| ~ v5_rlvect_1(U_8713)
| ~ v4_rlvect_1(U_8713)
| ~ v3_rlvect_1(U_8713)
| v3_struct_0(U_8713) )
| ~ l3_vectsp_1(U_8714)
| ~ v8_vectsp_1(U_8714)
| ~ v7_vectsp_1(U_8714)
| ~ v6_vectsp_1(U_8714)
| ~ v4_group_1(U_8714)
| ~ v6_rlvect_1(U_8714)
| ~ v5_rlvect_1(U_8714)
| ~ v4_rlvect_1(U_8714)
| ~ v3_rlvect_1(U_8714)
| v3_struct_0(U_8714) ),
inference(variable_rename,[status(thm)],[f_3401_1]) ).
fof(f_3401_3,plain,
! [U_8714,U_8712,U_8710,U_8713,U_8711] :
( m2_rmod_4(k7_rmod_4(U_8714,U_8713,U_8712,U_8710),U_8714,U_8713,U_8711)
| ~ m2_rmod_4(U_8710,U_8714,U_8713,U_8711)
| ~ m1_rmod_4(U_8710,U_8714,U_8713)
| ~ m1_subset_1(U_8711,k1_zfmisc_1(u1_struct_0(U_8713)))
| ~ m1_subset_1(U_8712,u1_struct_0(U_8714))
| ~ l1_vectsp_2(U_8713,U_8714)
| ~ v5_vectsp_2(U_8713,U_8714)
| ~ v6_rlvect_1(U_8713)
| ~ v5_rlvect_1(U_8713)
| ~ v4_rlvect_1(U_8713)
| ~ v3_rlvect_1(U_8713)
| v3_struct_0(U_8713)
| ~ l3_vectsp_1(U_8714)
| ~ v8_vectsp_1(U_8714)
| ~ v7_vectsp_1(U_8714)
| ~ v6_vectsp_1(U_8714)
| ~ v4_group_1(U_8714)
| ~ v6_rlvect_1(U_8714)
| ~ v5_rlvect_1(U_8714)
| ~ v4_rlvect_1(U_8714)
| ~ v3_rlvect_1(U_8714)
| v3_struct_0(U_8714) ),
inference(definitional_conversion,[status(esa)],[f_3401_2]) ).
cnf(f_3401_4,plain,
( m2_rmod_4(k7_rmod_4(U_8714,U_8713,U_8712,U_8710),U_8714,U_8713,U_8711)
| ~ m2_rmod_4(U_8710,U_8714,U_8713,U_8711)
| ~ m1_rmod_4(U_8710,U_8714,U_8713)
| ~ m1_subset_1(U_8711,k1_zfmisc_1(u1_struct_0(U_8713)))
| ~ m1_subset_1(U_8712,u1_struct_0(U_8714))
| ~ l1_vectsp_2(U_8713,U_8714)
| ~ v5_vectsp_2(U_8713,U_8714)
| ~ v6_rlvect_1(U_8713)
| ~ v5_rlvect_1(U_8713)
| ~ v4_rlvect_1(U_8713)
| ~ v3_rlvect_1(U_8713)
| v3_struct_0(U_8713)
| ~ l3_vectsp_1(U_8714)
| ~ v8_vectsp_1(U_8714)
| ~ v7_vectsp_1(U_8714)
| ~ v6_vectsp_1(U_8714)
| ~ v4_group_1(U_8714)
| ~ v6_rlvect_1(U_8714)
| ~ v5_rlvect_1(U_8714)
| ~ v4_rlvect_1(U_8714)
| ~ v3_rlvect_1(U_8714)
| v3_struct_0(U_8714) ),
inference(clausify,[status(thm)],[f_3401_3]) ).
fof(f_3402_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rmod_4(A,B,k7_rmod_4(A,B,k4_rlvect_1(A,C,D),E),k6_rmod_4(A,B,k7_rmod_4(A,B,C,E),k7_rmod_4(A,B,D,E)))
| ~ m1_rmod_4(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t62_rmod_4]) ).
fof(f_3402_2,plain,
! [U_8719] :
( ! [U_8718] :
( ! [U_8717] :
( ! [U_8716] :
( ! [U_8715] :
( r1_rmod_4(U_8719,U_8718,k7_rmod_4(U_8719,U_8718,k4_rlvect_1(U_8719,U_8717,U_8716),U_8715),k6_rmod_4(U_8719,U_8718,k7_rmod_4(U_8719,U_8718,U_8717,U_8715),k7_rmod_4(U_8719,U_8718,U_8716,U_8715)))
| ~ m1_rmod_4(U_8715,U_8719,U_8718) )
| ~ m1_subset_1(U_8716,u1_struct_0(U_8719)) )
| ~ m1_subset_1(U_8717,u1_struct_0(U_8719)) )
| ~ l1_vectsp_2(U_8718,U_8719)
| ~ v5_vectsp_2(U_8718,U_8719)
| ~ v6_rlvect_1(U_8718)
| ~ v5_rlvect_1(U_8718)
| ~ v4_rlvect_1(U_8718)
| ~ v3_rlvect_1(U_8718)
| v3_struct_0(U_8718) )
| ~ l3_vectsp_1(U_8719)
| ~ v8_vectsp_1(U_8719)
| ~ v7_vectsp_1(U_8719)
| ~ v6_vectsp_1(U_8719)
| ~ v4_group_1(U_8719)
| ~ v6_rlvect_1(U_8719)
| ~ v5_rlvect_1(U_8719)
| ~ v4_rlvect_1(U_8719)
| ~ v3_rlvect_1(U_8719)
| v3_struct_0(U_8719) ),
inference(variable_rename,[status(thm)],[f_3402_1]) ).
fof(f_3402_3,plain,
! [U_8716,U_8717,U_8718,U_8719,U_8715] :
( r1_rmod_4(U_8719,U_8718,k7_rmod_4(U_8719,U_8718,k4_rlvect_1(U_8719,U_8717,U_8716),U_8715),k6_rmod_4(U_8719,U_8718,k7_rmod_4(U_8719,U_8718,U_8717,U_8715),k7_rmod_4(U_8719,U_8718,U_8716,U_8715)))
| ~ m1_rmod_4(U_8715,U_8719,U_8718)
| ~ m1_subset_1(U_8716,u1_struct_0(U_8719))
| ~ m1_subset_1(U_8717,u1_struct_0(U_8719))
| ~ l1_vectsp_2(U_8718,U_8719)
| ~ v5_vectsp_2(U_8718,U_8719)
| ~ v6_rlvect_1(U_8718)
| ~ v5_rlvect_1(U_8718)
| ~ v4_rlvect_1(U_8718)
| ~ v3_rlvect_1(U_8718)
| v3_struct_0(U_8718)
| ~ l3_vectsp_1(U_8719)
| ~ v8_vectsp_1(U_8719)
| ~ v7_vectsp_1(U_8719)
| ~ v6_vectsp_1(U_8719)
| ~ v4_group_1(U_8719)
| ~ v6_rlvect_1(U_8719)
| ~ v5_rlvect_1(U_8719)
| ~ v4_rlvect_1(U_8719)
| ~ v3_rlvect_1(U_8719)
| v3_struct_0(U_8719) ),
inference(definitional_conversion,[status(esa)],[f_3402_2]) ).
cnf(f_3402_4,plain,
( r1_rmod_4(U_8719,U_8718,k7_rmod_4(U_8719,U_8718,k4_rlvect_1(U_8719,U_8717,U_8716),U_8715),k6_rmod_4(U_8719,U_8718,k7_rmod_4(U_8719,U_8718,U_8717,U_8715),k7_rmod_4(U_8719,U_8718,U_8716,U_8715)))
| ~ m1_rmod_4(U_8715,U_8719,U_8718)
| ~ m1_subset_1(U_8716,u1_struct_0(U_8719))
| ~ m1_subset_1(U_8717,u1_struct_0(U_8719))
| ~ l1_vectsp_2(U_8718,U_8719)
| ~ v5_vectsp_2(U_8718,U_8719)
| ~ v6_rlvect_1(U_8718)
| ~ v5_rlvect_1(U_8718)
| ~ v4_rlvect_1(U_8718)
| ~ v3_rlvect_1(U_8718)
| v3_struct_0(U_8718)
| ~ l3_vectsp_1(U_8719)
| ~ v8_vectsp_1(U_8719)
| ~ v7_vectsp_1(U_8719)
| ~ v6_vectsp_1(U_8719)
| ~ v4_group_1(U_8719)
| ~ v6_rlvect_1(U_8719)
| ~ v5_rlvect_1(U_8719)
| ~ v4_rlvect_1(U_8719)
| ~ v3_rlvect_1(U_8719)
| v3_struct_0(U_8719) ),
inference(clausify,[status(thm)],[f_3402_3]) ).
fof(f_3403_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rmod_4(A,B,k7_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k7_rmod_4(A,B,C,D),k7_rmod_4(A,B,C,E)))
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t63_rmod_4]) ).
fof(f_3403_2,plain,
! [U_8724] :
( ! [U_8723] :
( ! [U_8722] :
( ! [U_8721] :
( ! [U_8720] :
( r1_rmod_4(U_8724,U_8723,k7_rmod_4(U_8724,U_8723,U_8722,k6_rmod_4(U_8724,U_8723,U_8721,U_8720)),k6_rmod_4(U_8724,U_8723,k7_rmod_4(U_8724,U_8723,U_8722,U_8721),k7_rmod_4(U_8724,U_8723,U_8722,U_8720)))
| ~ m1_rmod_4(U_8720,U_8724,U_8723) )
| ~ m1_rmod_4(U_8721,U_8724,U_8723) )
| ~ m1_subset_1(U_8722,u1_struct_0(U_8724)) )
| ~ l1_vectsp_2(U_8723,U_8724)
| ~ v5_vectsp_2(U_8723,U_8724)
| ~ v6_rlvect_1(U_8723)
| ~ v5_rlvect_1(U_8723)
| ~ v4_rlvect_1(U_8723)
| ~ v3_rlvect_1(U_8723)
| v3_struct_0(U_8723) )
| ~ l3_vectsp_1(U_8724)
| ~ v8_vectsp_1(U_8724)
| ~ v7_vectsp_1(U_8724)
| ~ v6_vectsp_1(U_8724)
| ~ v4_group_1(U_8724)
| ~ v6_rlvect_1(U_8724)
| ~ v5_rlvect_1(U_8724)
| ~ v4_rlvect_1(U_8724)
| ~ v3_rlvect_1(U_8724)
| v3_struct_0(U_8724) ),
inference(variable_rename,[status(thm)],[f_3403_1]) ).
fof(f_3403_3,plain,
! [U_8724,U_8723,U_8720,U_8722,U_8721] :
( r1_rmod_4(U_8724,U_8723,k7_rmod_4(U_8724,U_8723,U_8722,k6_rmod_4(U_8724,U_8723,U_8721,U_8720)),k6_rmod_4(U_8724,U_8723,k7_rmod_4(U_8724,U_8723,U_8722,U_8721),k7_rmod_4(U_8724,U_8723,U_8722,U_8720)))
| ~ m1_rmod_4(U_8720,U_8724,U_8723)
| ~ m1_rmod_4(U_8721,U_8724,U_8723)
| ~ m1_subset_1(U_8722,u1_struct_0(U_8724))
| ~ l1_vectsp_2(U_8723,U_8724)
| ~ v5_vectsp_2(U_8723,U_8724)
| ~ v6_rlvect_1(U_8723)
| ~ v5_rlvect_1(U_8723)
| ~ v4_rlvect_1(U_8723)
| ~ v3_rlvect_1(U_8723)
| v3_struct_0(U_8723)
| ~ l3_vectsp_1(U_8724)
| ~ v8_vectsp_1(U_8724)
| ~ v7_vectsp_1(U_8724)
| ~ v6_vectsp_1(U_8724)
| ~ v4_group_1(U_8724)
| ~ v6_rlvect_1(U_8724)
| ~ v5_rlvect_1(U_8724)
| ~ v4_rlvect_1(U_8724)
| ~ v3_rlvect_1(U_8724)
| v3_struct_0(U_8724) ),
inference(definitional_conversion,[status(esa)],[f_3403_2]) ).
cnf(f_3403_4,plain,
( r1_rmod_4(U_8724,U_8723,k7_rmod_4(U_8724,U_8723,U_8722,k6_rmod_4(U_8724,U_8723,U_8721,U_8720)),k6_rmod_4(U_8724,U_8723,k7_rmod_4(U_8724,U_8723,U_8722,U_8721),k7_rmod_4(U_8724,U_8723,U_8722,U_8720)))
| ~ m1_rmod_4(U_8720,U_8724,U_8723)
| ~ m1_rmod_4(U_8721,U_8724,U_8723)
| ~ m1_subset_1(U_8722,u1_struct_0(U_8724))
| ~ l1_vectsp_2(U_8723,U_8724)
| ~ v5_vectsp_2(U_8723,U_8724)
| ~ v6_rlvect_1(U_8723)
| ~ v5_rlvect_1(U_8723)
| ~ v4_rlvect_1(U_8723)
| ~ v3_rlvect_1(U_8723)
| v3_struct_0(U_8723)
| ~ l3_vectsp_1(U_8724)
| ~ v8_vectsp_1(U_8724)
| ~ v7_vectsp_1(U_8724)
| ~ v6_vectsp_1(U_8724)
| ~ v4_group_1(U_8724)
| ~ v6_rlvect_1(U_8724)
| ~ v5_rlvect_1(U_8724)
| ~ v4_rlvect_1(U_8724)
| ~ v3_rlvect_1(U_8724)
| v3_struct_0(U_8724) ),
inference(clausify,[status(thm)],[f_3403_3]) ).
fof(f_3404_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( r1_rmod_4(A,B,k7_rmod_4(A,B,D,k7_rmod_4(A,B,C,E)),k7_rmod_4(A,B,k1_group_1(A,C,D),E))
| ~ m1_rmod_4(E,A,B) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t64_rmod_4]) ).
fof(f_3404_2,plain,
! [U_8729] :
( ! [U_8728] :
( ! [U_8727] :
( ! [U_8726] :
( ! [U_8725] :
( r1_rmod_4(U_8729,U_8728,k7_rmod_4(U_8729,U_8728,U_8726,k7_rmod_4(U_8729,U_8728,U_8727,U_8725)),k7_rmod_4(U_8729,U_8728,k1_group_1(U_8729,U_8727,U_8726),U_8725))
| ~ m1_rmod_4(U_8725,U_8729,U_8728) )
| ~ m1_subset_1(U_8726,u1_struct_0(U_8729)) )
| ~ m1_subset_1(U_8727,u1_struct_0(U_8729)) )
| ~ l1_vectsp_2(U_8728,U_8729)
| ~ v5_vectsp_2(U_8728,U_8729)
| ~ v6_rlvect_1(U_8728)
| ~ v5_rlvect_1(U_8728)
| ~ v4_rlvect_1(U_8728)
| ~ v3_rlvect_1(U_8728)
| v3_struct_0(U_8728) )
| ~ l3_vectsp_1(U_8729)
| ~ v8_vectsp_1(U_8729)
| ~ v7_vectsp_1(U_8729)
| ~ v6_vectsp_1(U_8729)
| ~ v4_group_1(U_8729)
| ~ v6_rlvect_1(U_8729)
| ~ v5_rlvect_1(U_8729)
| ~ v4_rlvect_1(U_8729)
| ~ v3_rlvect_1(U_8729)
| v3_struct_0(U_8729) ),
inference(variable_rename,[status(thm)],[f_3404_1]) ).
fof(f_3404_3,plain,
! [U_8725,U_8728,U_8729,U_8726,U_8727] :
( r1_rmod_4(U_8729,U_8728,k7_rmod_4(U_8729,U_8728,U_8726,k7_rmod_4(U_8729,U_8728,U_8727,U_8725)),k7_rmod_4(U_8729,U_8728,k1_group_1(U_8729,U_8727,U_8726),U_8725))
| ~ m1_rmod_4(U_8725,U_8729,U_8728)
| ~ m1_subset_1(U_8726,u1_struct_0(U_8729))
| ~ m1_subset_1(U_8727,u1_struct_0(U_8729))
| ~ l1_vectsp_2(U_8728,U_8729)
| ~ v5_vectsp_2(U_8728,U_8729)
| ~ v6_rlvect_1(U_8728)
| ~ v5_rlvect_1(U_8728)
| ~ v4_rlvect_1(U_8728)
| ~ v3_rlvect_1(U_8728)
| v3_struct_0(U_8728)
| ~ l3_vectsp_1(U_8729)
| ~ v8_vectsp_1(U_8729)
| ~ v7_vectsp_1(U_8729)
| ~ v6_vectsp_1(U_8729)
| ~ v4_group_1(U_8729)
| ~ v6_rlvect_1(U_8729)
| ~ v5_rlvect_1(U_8729)
| ~ v4_rlvect_1(U_8729)
| ~ v3_rlvect_1(U_8729)
| v3_struct_0(U_8729) ),
inference(definitional_conversion,[status(esa)],[f_3404_2]) ).
cnf(f_3404_4,plain,
( r1_rmod_4(U_8729,U_8728,k7_rmod_4(U_8729,U_8728,U_8726,k7_rmod_4(U_8729,U_8728,U_8727,U_8725)),k7_rmod_4(U_8729,U_8728,k1_group_1(U_8729,U_8727,U_8726),U_8725))
| ~ m1_rmod_4(U_8725,U_8729,U_8728)
| ~ m1_subset_1(U_8726,u1_struct_0(U_8729))
| ~ m1_subset_1(U_8727,u1_struct_0(U_8729))
| ~ l1_vectsp_2(U_8728,U_8729)
| ~ v5_vectsp_2(U_8728,U_8729)
| ~ v6_rlvect_1(U_8728)
| ~ v5_rlvect_1(U_8728)
| ~ v4_rlvect_1(U_8728)
| ~ v3_rlvect_1(U_8728)
| v3_struct_0(U_8728)
| ~ l3_vectsp_1(U_8729)
| ~ v8_vectsp_1(U_8729)
| ~ v7_vectsp_1(U_8729)
| ~ v6_vectsp_1(U_8729)
| ~ v4_group_1(U_8729)
| ~ v6_rlvect_1(U_8729)
| ~ v5_rlvect_1(U_8729)
| ~ v4_rlvect_1(U_8729)
| ~ v3_rlvect_1(U_8729)
| v3_struct_0(U_8729) ),
inference(clausify,[status(thm)],[f_3404_3]) ).
fof(f_3405_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rmod_4(A,B,k7_rmod_4(A,B,k2_group_1(A),C),C)
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t65_rmod_4]) ).
fof(f_3405_2,plain,
! [U_8732] :
( ! [U_8731] :
( ! [U_8730] :
( r1_rmod_4(U_8732,U_8731,k7_rmod_4(U_8732,U_8731,k2_group_1(U_8732),U_8730),U_8730)
| ~ m1_rmod_4(U_8730,U_8732,U_8731) )
| ~ l1_vectsp_2(U_8731,U_8732)
| ~ v5_vectsp_2(U_8731,U_8732)
| ~ v6_rlvect_1(U_8731)
| ~ v5_rlvect_1(U_8731)
| ~ v4_rlvect_1(U_8731)
| ~ v3_rlvect_1(U_8731)
| v3_struct_0(U_8731) )
| ~ l3_vectsp_1(U_8732)
| ~ v8_vectsp_1(U_8732)
| ~ v7_vectsp_1(U_8732)
| ~ v6_vectsp_1(U_8732)
| ~ v4_group_1(U_8732)
| ~ v6_rlvect_1(U_8732)
| ~ v5_rlvect_1(U_8732)
| ~ v4_rlvect_1(U_8732)
| ~ v3_rlvect_1(U_8732)
| v3_struct_0(U_8732) ),
inference(variable_rename,[status(thm)],[f_3405_1]) ).
fof(f_3405_3,plain,
! [U_8732,U_8731,U_8730] :
( r1_rmod_4(U_8732,U_8731,k7_rmod_4(U_8732,U_8731,k2_group_1(U_8732),U_8730),U_8730)
| ~ m1_rmod_4(U_8730,U_8732,U_8731)
| ~ l1_vectsp_2(U_8731,U_8732)
| ~ v5_vectsp_2(U_8731,U_8732)
| ~ v6_rlvect_1(U_8731)
| ~ v5_rlvect_1(U_8731)
| ~ v4_rlvect_1(U_8731)
| ~ v3_rlvect_1(U_8731)
| v3_struct_0(U_8731)
| ~ l3_vectsp_1(U_8732)
| ~ v8_vectsp_1(U_8732)
| ~ v7_vectsp_1(U_8732)
| ~ v6_vectsp_1(U_8732)
| ~ v4_group_1(U_8732)
| ~ v6_rlvect_1(U_8732)
| ~ v5_rlvect_1(U_8732)
| ~ v4_rlvect_1(U_8732)
| ~ v3_rlvect_1(U_8732)
| v3_struct_0(U_8732) ),
inference(definitional_conversion,[status(esa)],[f_3405_2]) ).
cnf(f_3405_4,plain,
( r1_rmod_4(U_8732,U_8731,k7_rmod_4(U_8732,U_8731,k2_group_1(U_8732),U_8730),U_8730)
| ~ m1_rmod_4(U_8730,U_8732,U_8731)
| ~ l1_vectsp_2(U_8731,U_8732)
| ~ v5_vectsp_2(U_8731,U_8732)
| ~ v6_rlvect_1(U_8731)
| ~ v5_rlvect_1(U_8731)
| ~ v4_rlvect_1(U_8731)
| ~ v3_rlvect_1(U_8731)
| v3_struct_0(U_8731)
| ~ l3_vectsp_1(U_8732)
| ~ v8_vectsp_1(U_8732)
| ~ v7_vectsp_1(U_8732)
| ~ v6_vectsp_1(U_8732)
| ~ v4_group_1(U_8732)
| ~ v6_rlvect_1(U_8732)
| ~ v5_rlvect_1(U_8732)
| ~ v4_rlvect_1(U_8732)
| ~ v3_rlvect_1(U_8732)
| v3_struct_0(U_8732) ),
inference(clausify,[status(thm)],[f_3405_3]) ).
fof(f_3406_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k8_rmod_4(A,B,C) = k7_rmod_4(A,B,k5_rlvect_1(A,k2_group_1(A)),C)
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d13_rmod_4]) ).
fof(f_3406_2,plain,
! [U_8735] :
( ! [U_8734] :
( ! [U_8733] :
( k8_rmod_4(U_8735,U_8734,U_8733) = k7_rmod_4(U_8735,U_8734,k5_rlvect_1(U_8735,k2_group_1(U_8735)),U_8733)
| ~ m1_rmod_4(U_8733,U_8735,U_8734) )
| ~ l1_vectsp_2(U_8734,U_8735)
| ~ v5_vectsp_2(U_8734,U_8735)
| ~ v6_rlvect_1(U_8734)
| ~ v5_rlvect_1(U_8734)
| ~ v4_rlvect_1(U_8734)
| ~ v3_rlvect_1(U_8734)
| v3_struct_0(U_8734) )
| ~ l3_vectsp_1(U_8735)
| ~ v8_vectsp_1(U_8735)
| ~ v7_vectsp_1(U_8735)
| ~ v6_vectsp_1(U_8735)
| ~ v4_group_1(U_8735)
| ~ v6_rlvect_1(U_8735)
| ~ v5_rlvect_1(U_8735)
| ~ v4_rlvect_1(U_8735)
| ~ v3_rlvect_1(U_8735)
| v3_struct_0(U_8735) ),
inference(variable_rename,[status(thm)],[f_3406_1]) ).
fof(f_3406_3,plain,
! [U_8735,U_8734,U_8733] :
( k8_rmod_4(U_8735,U_8734,U_8733) = k7_rmod_4(U_8735,U_8734,k5_rlvect_1(U_8735,k2_group_1(U_8735)),U_8733)
| ~ m1_rmod_4(U_8733,U_8735,U_8734)
| ~ l1_vectsp_2(U_8734,U_8735)
| ~ v5_vectsp_2(U_8734,U_8735)
| ~ v6_rlvect_1(U_8734)
| ~ v5_rlvect_1(U_8734)
| ~ v4_rlvect_1(U_8734)
| ~ v3_rlvect_1(U_8734)
| v3_struct_0(U_8734)
| ~ l3_vectsp_1(U_8735)
| ~ v8_vectsp_1(U_8735)
| ~ v7_vectsp_1(U_8735)
| ~ v6_vectsp_1(U_8735)
| ~ v4_group_1(U_8735)
| ~ v6_rlvect_1(U_8735)
| ~ v5_rlvect_1(U_8735)
| ~ v4_rlvect_1(U_8735)
| ~ v3_rlvect_1(U_8735)
| v3_struct_0(U_8735) ),
inference(definitional_conversion,[status(esa)],[f_3406_2]) ).
cnf(f_3406_4,plain,
( k8_rmod_4(U_8735,U_8734,U_8733) = k7_rmod_4(U_8735,U_8734,k5_rlvect_1(U_8735,k2_group_1(U_8735)),U_8733)
| ~ m1_rmod_4(U_8733,U_8735,U_8734)
| ~ l1_vectsp_2(U_8734,U_8735)
| ~ v5_vectsp_2(U_8734,U_8735)
| ~ v6_rlvect_1(U_8734)
| ~ v5_rlvect_1(U_8734)
| ~ v4_rlvect_1(U_8734)
| ~ v3_rlvect_1(U_8734)
| v3_struct_0(U_8734)
| ~ l3_vectsp_1(U_8735)
| ~ v8_vectsp_1(U_8735)
| ~ v7_vectsp_1(U_8735)
| ~ v6_vectsp_1(U_8735)
| ~ v4_group_1(U_8735)
| ~ v6_rlvect_1(U_8735)
| ~ v5_rlvect_1(U_8735)
| ~ v4_rlvect_1(U_8735)
| ~ v3_rlvect_1(U_8735)
| v3_struct_0(U_8735) ),
inference(clausify,[status(thm)],[f_3406_3]) ).
fof(f_3407_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t66_rmod_4]) ).
fof(f_3407_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3407_1]) ).
cnf(f_3407_3,plain,
$true,
inference(clausify,[status(thm)],[f_3407_2]) ).
fof(f_3408_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),k8_rmod_4(A,B,D),C) = k5_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t67_rmod_4]) ).
fof(f_3408_2,plain,
! [U_8739] :
( ! [U_8738] :
( ! [U_8737] :
( ! [U_8736] :
( k8_funct_2(u1_struct_0(U_8738),u1_struct_0(U_8739),k8_rmod_4(U_8739,U_8738,U_8736),U_8737) = k5_rlvect_1(U_8739,k8_funct_2(u1_struct_0(U_8738),u1_struct_0(U_8739),U_8736,U_8737))
| ~ m1_rmod_4(U_8736,U_8739,U_8738) )
| ~ m1_subset_1(U_8737,u1_struct_0(U_8738)) )
| ~ l1_vectsp_2(U_8738,U_8739)
| ~ v5_vectsp_2(U_8738,U_8739)
| ~ v6_rlvect_1(U_8738)
| ~ v5_rlvect_1(U_8738)
| ~ v4_rlvect_1(U_8738)
| ~ v3_rlvect_1(U_8738)
| v3_struct_0(U_8738) )
| ~ l3_vectsp_1(U_8739)
| ~ v8_vectsp_1(U_8739)
| ~ v7_vectsp_1(U_8739)
| ~ v6_vectsp_1(U_8739)
| ~ v4_group_1(U_8739)
| ~ v6_rlvect_1(U_8739)
| ~ v5_rlvect_1(U_8739)
| ~ v4_rlvect_1(U_8739)
| ~ v3_rlvect_1(U_8739)
| v3_struct_0(U_8739) ),
inference(variable_rename,[status(thm)],[f_3408_1]) ).
fof(f_3408_3,plain,
! [U_8738,U_8736,U_8739,U_8737] :
( k8_funct_2(u1_struct_0(U_8738),u1_struct_0(U_8739),k8_rmod_4(U_8739,U_8738,U_8736),U_8737) = k5_rlvect_1(U_8739,k8_funct_2(u1_struct_0(U_8738),u1_struct_0(U_8739),U_8736,U_8737))
| ~ m1_rmod_4(U_8736,U_8739,U_8738)
| ~ m1_subset_1(U_8737,u1_struct_0(U_8738))
| ~ l1_vectsp_2(U_8738,U_8739)
| ~ v5_vectsp_2(U_8738,U_8739)
| ~ v6_rlvect_1(U_8738)
| ~ v5_rlvect_1(U_8738)
| ~ v4_rlvect_1(U_8738)
| ~ v3_rlvect_1(U_8738)
| v3_struct_0(U_8738)
| ~ l3_vectsp_1(U_8739)
| ~ v8_vectsp_1(U_8739)
| ~ v7_vectsp_1(U_8739)
| ~ v6_vectsp_1(U_8739)
| ~ v4_group_1(U_8739)
| ~ v6_rlvect_1(U_8739)
| ~ v5_rlvect_1(U_8739)
| ~ v4_rlvect_1(U_8739)
| ~ v3_rlvect_1(U_8739)
| v3_struct_0(U_8739) ),
inference(definitional_conversion,[status(esa)],[f_3408_2]) ).
cnf(f_3408_4,plain,
( k8_funct_2(u1_struct_0(U_8738),u1_struct_0(U_8739),k8_rmod_4(U_8739,U_8738,U_8736),U_8737) = k5_rlvect_1(U_8739,k8_funct_2(u1_struct_0(U_8738),u1_struct_0(U_8739),U_8736,U_8737))
| ~ m1_rmod_4(U_8736,U_8739,U_8738)
| ~ m1_subset_1(U_8737,u1_struct_0(U_8738))
| ~ l1_vectsp_2(U_8738,U_8739)
| ~ v5_vectsp_2(U_8738,U_8739)
| ~ v6_rlvect_1(U_8738)
| ~ v5_rlvect_1(U_8738)
| ~ v4_rlvect_1(U_8738)
| ~ v3_rlvect_1(U_8738)
| v3_struct_0(U_8738)
| ~ l3_vectsp_1(U_8739)
| ~ v8_vectsp_1(U_8739)
| ~ v7_vectsp_1(U_8739)
| ~ v6_vectsp_1(U_8739)
| ~ v4_group_1(U_8739)
| ~ v6_rlvect_1(U_8739)
| ~ v5_rlvect_1(U_8739)
| ~ v4_rlvect_1(U_8739)
| ~ v3_rlvect_1(U_8739)
| v3_struct_0(U_8739) ),
inference(clausify,[status(thm)],[f_3408_3]) ).
fof(f_3409_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rmod_4(A,B,D,k8_rmod_4(A,B,C))
| ~ r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k3_rmod_4(A,B))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t68_rmod_4]) ).
fof(f_3409_2,plain,
! [U_8743] :
( ! [U_8742] :
( ! [U_8741] :
( ! [U_8740] :
( r1_rmod_4(U_8743,U_8742,U_8740,k8_rmod_4(U_8743,U_8742,U_8741))
| ~ r1_rmod_4(U_8743,U_8742,k6_rmod_4(U_8743,U_8742,U_8741,U_8740),k3_rmod_4(U_8743,U_8742))
| ~ m1_rmod_4(U_8740,U_8743,U_8742) )
| ~ m1_rmod_4(U_8741,U_8743,U_8742) )
| ~ l1_vectsp_2(U_8742,U_8743)
| ~ v5_vectsp_2(U_8742,U_8743)
| ~ v6_rlvect_1(U_8742)
| ~ v5_rlvect_1(U_8742)
| ~ v4_rlvect_1(U_8742)
| ~ v3_rlvect_1(U_8742)
| v3_struct_0(U_8742) )
| ~ l3_vectsp_1(U_8743)
| ~ v8_vectsp_1(U_8743)
| ~ v7_vectsp_1(U_8743)
| ~ v6_vectsp_1(U_8743)
| ~ v4_group_1(U_8743)
| ~ v6_rlvect_1(U_8743)
| ~ v5_rlvect_1(U_8743)
| ~ v4_rlvect_1(U_8743)
| ~ v3_rlvect_1(U_8743)
| v3_struct_0(U_8743) ),
inference(variable_rename,[status(thm)],[f_3409_1]) ).
fof(f_3409_3,plain,
! [U_8742,U_8743,U_8741,U_8740] :
( r1_rmod_4(U_8743,U_8742,U_8740,k8_rmod_4(U_8743,U_8742,U_8741))
| ~ r1_rmod_4(U_8743,U_8742,k6_rmod_4(U_8743,U_8742,U_8741,U_8740),k3_rmod_4(U_8743,U_8742))
| ~ m1_rmod_4(U_8740,U_8743,U_8742)
| ~ m1_rmod_4(U_8741,U_8743,U_8742)
| ~ l1_vectsp_2(U_8742,U_8743)
| ~ v5_vectsp_2(U_8742,U_8743)
| ~ v6_rlvect_1(U_8742)
| ~ v5_rlvect_1(U_8742)
| ~ v4_rlvect_1(U_8742)
| ~ v3_rlvect_1(U_8742)
| v3_struct_0(U_8742)
| ~ l3_vectsp_1(U_8743)
| ~ v8_vectsp_1(U_8743)
| ~ v7_vectsp_1(U_8743)
| ~ v6_vectsp_1(U_8743)
| ~ v4_group_1(U_8743)
| ~ v6_rlvect_1(U_8743)
| ~ v5_rlvect_1(U_8743)
| ~ v4_rlvect_1(U_8743)
| ~ v3_rlvect_1(U_8743)
| v3_struct_0(U_8743) ),
inference(definitional_conversion,[status(esa)],[f_3409_2]) ).
cnf(f_3409_4,plain,
( r1_rmod_4(U_8743,U_8742,U_8740,k8_rmod_4(U_8743,U_8742,U_8741))
| ~ r1_rmod_4(U_8743,U_8742,k6_rmod_4(U_8743,U_8742,U_8741,U_8740),k3_rmod_4(U_8743,U_8742))
| ~ m1_rmod_4(U_8740,U_8743,U_8742)
| ~ m1_rmod_4(U_8741,U_8743,U_8742)
| ~ l1_vectsp_2(U_8742,U_8743)
| ~ v5_vectsp_2(U_8742,U_8743)
| ~ v6_rlvect_1(U_8742)
| ~ v5_rlvect_1(U_8742)
| ~ v4_rlvect_1(U_8742)
| ~ v3_rlvect_1(U_8742)
| v3_struct_0(U_8742)
| ~ l3_vectsp_1(U_8743)
| ~ v8_vectsp_1(U_8743)
| ~ v7_vectsp_1(U_8743)
| ~ v6_vectsp_1(U_8743)
| ~ v4_group_1(U_8743)
| ~ v6_rlvect_1(U_8743)
| ~ v5_rlvect_1(U_8743)
| ~ v4_rlvect_1(U_8743)
| ~ v3_rlvect_1(U_8743)
| v3_struct_0(U_8743) ),
inference(clausify,[status(thm)],[f_3409_3]) ).
fof(f_3410_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_rmod_4(A,B,k8_rmod_4(A,B,C)) = k2_rmod_4(A,B,C)
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t69_rmod_4]) ).
fof(f_3410_2,plain,
! [U_8746] :
( ! [U_8745] :
( ! [U_8744] :
( k2_rmod_4(U_8746,U_8745,k8_rmod_4(U_8746,U_8745,U_8744)) = k2_rmod_4(U_8746,U_8745,U_8744)
| ~ m1_rmod_4(U_8744,U_8746,U_8745) )
| ~ l1_vectsp_2(U_8745,U_8746)
| ~ v5_vectsp_2(U_8745,U_8746)
| ~ v6_rlvect_1(U_8745)
| ~ v5_rlvect_1(U_8745)
| ~ v4_rlvect_1(U_8745)
| ~ v3_rlvect_1(U_8745)
| v3_struct_0(U_8745) )
| ~ l3_vectsp_1(U_8746)
| ~ v8_vectsp_1(U_8746)
| ~ v7_vectsp_1(U_8746)
| ~ v6_vectsp_1(U_8746)
| ~ v4_group_1(U_8746)
| ~ v6_rlvect_1(U_8746)
| ~ v5_rlvect_1(U_8746)
| ~ v4_rlvect_1(U_8746)
| ~ v3_rlvect_1(U_8746)
| v3_struct_0(U_8746) ),
inference(variable_rename,[status(thm)],[f_3410_1]) ).
fof(f_3410_3,plain,
! [U_8746,U_8745,U_8744] :
( k2_rmod_4(U_8746,U_8745,k8_rmod_4(U_8746,U_8745,U_8744)) = k2_rmod_4(U_8746,U_8745,U_8744)
| ~ m1_rmod_4(U_8744,U_8746,U_8745)
| ~ l1_vectsp_2(U_8745,U_8746)
| ~ v5_vectsp_2(U_8745,U_8746)
| ~ v6_rlvect_1(U_8745)
| ~ v5_rlvect_1(U_8745)
| ~ v4_rlvect_1(U_8745)
| ~ v3_rlvect_1(U_8745)
| v3_struct_0(U_8745)
| ~ l3_vectsp_1(U_8746)
| ~ v8_vectsp_1(U_8746)
| ~ v7_vectsp_1(U_8746)
| ~ v6_vectsp_1(U_8746)
| ~ v4_group_1(U_8746)
| ~ v6_rlvect_1(U_8746)
| ~ v5_rlvect_1(U_8746)
| ~ v4_rlvect_1(U_8746)
| ~ v3_rlvect_1(U_8746)
| v3_struct_0(U_8746) ),
inference(definitional_conversion,[status(esa)],[f_3410_2]) ).
cnf(f_3410_4,plain,
( k2_rmod_4(U_8746,U_8745,k8_rmod_4(U_8746,U_8745,U_8744)) = k2_rmod_4(U_8746,U_8745,U_8744)
| ~ m1_rmod_4(U_8744,U_8746,U_8745)
| ~ l1_vectsp_2(U_8745,U_8746)
| ~ v5_vectsp_2(U_8745,U_8746)
| ~ v6_rlvect_1(U_8745)
| ~ v5_rlvect_1(U_8745)
| ~ v4_rlvect_1(U_8745)
| ~ v3_rlvect_1(U_8745)
| v3_struct_0(U_8745)
| ~ l3_vectsp_1(U_8746)
| ~ v8_vectsp_1(U_8746)
| ~ v7_vectsp_1(U_8746)
| ~ v6_vectsp_1(U_8746)
| ~ v4_group_1(U_8746)
| ~ v6_rlvect_1(U_8746)
| ~ v5_rlvect_1(U_8746)
| ~ v4_rlvect_1(U_8746)
| ~ v3_rlvect_1(U_8746)
| v3_struct_0(U_8746) ),
inference(clausify,[status(thm)],[f_3410_3]) ).
fof(f_3411_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m2_rmod_4(k8_rmod_4(A,B,D),A,B,C)
| ~ m2_rmod_4(D,A,B,C)
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t70_rmod_4]) ).
fof(f_3411_2,plain,
! [U_8750] :
( ! [U_8749] :
( ! [U_8748] :
( ! [U_8747] :
( m2_rmod_4(k8_rmod_4(U_8750,U_8749,U_8747),U_8750,U_8749,U_8748)
| ~ m2_rmod_4(U_8747,U_8750,U_8749,U_8748)
| ~ m1_rmod_4(U_8747,U_8750,U_8749) )
| ~ m1_subset_1(U_8748,k1_zfmisc_1(u1_struct_0(U_8749))) )
| ~ l1_vectsp_2(U_8749,U_8750)
| ~ v5_vectsp_2(U_8749,U_8750)
| ~ v6_rlvect_1(U_8749)
| ~ v5_rlvect_1(U_8749)
| ~ v4_rlvect_1(U_8749)
| ~ v3_rlvect_1(U_8749)
| v3_struct_0(U_8749) )
| ~ l3_vectsp_1(U_8750)
| ~ v8_vectsp_1(U_8750)
| ~ v7_vectsp_1(U_8750)
| ~ v6_vectsp_1(U_8750)
| ~ v4_group_1(U_8750)
| ~ v6_rlvect_1(U_8750)
| ~ v5_rlvect_1(U_8750)
| ~ v4_rlvect_1(U_8750)
| ~ v3_rlvect_1(U_8750)
| v3_struct_0(U_8750) ),
inference(variable_rename,[status(thm)],[f_3411_1]) ).
fof(f_3411_3,plain,
! [U_8747,U_8748,U_8749,U_8750] :
( m2_rmod_4(k8_rmod_4(U_8750,U_8749,U_8747),U_8750,U_8749,U_8748)
| ~ m2_rmod_4(U_8747,U_8750,U_8749,U_8748)
| ~ m1_rmod_4(U_8747,U_8750,U_8749)
| ~ m1_subset_1(U_8748,k1_zfmisc_1(u1_struct_0(U_8749)))
| ~ l1_vectsp_2(U_8749,U_8750)
| ~ v5_vectsp_2(U_8749,U_8750)
| ~ v6_rlvect_1(U_8749)
| ~ v5_rlvect_1(U_8749)
| ~ v4_rlvect_1(U_8749)
| ~ v3_rlvect_1(U_8749)
| v3_struct_0(U_8749)
| ~ l3_vectsp_1(U_8750)
| ~ v8_vectsp_1(U_8750)
| ~ v7_vectsp_1(U_8750)
| ~ v6_vectsp_1(U_8750)
| ~ v4_group_1(U_8750)
| ~ v6_rlvect_1(U_8750)
| ~ v5_rlvect_1(U_8750)
| ~ v4_rlvect_1(U_8750)
| ~ v3_rlvect_1(U_8750)
| v3_struct_0(U_8750) ),
inference(definitional_conversion,[status(esa)],[f_3411_2]) ).
cnf(f_3411_4,plain,
( m2_rmod_4(k8_rmod_4(U_8750,U_8749,U_8747),U_8750,U_8749,U_8748)
| ~ m2_rmod_4(U_8747,U_8750,U_8749,U_8748)
| ~ m1_rmod_4(U_8747,U_8750,U_8749)
| ~ m1_subset_1(U_8748,k1_zfmisc_1(u1_struct_0(U_8749)))
| ~ l1_vectsp_2(U_8749,U_8750)
| ~ v5_vectsp_2(U_8749,U_8750)
| ~ v6_rlvect_1(U_8749)
| ~ v5_rlvect_1(U_8749)
| ~ v4_rlvect_1(U_8749)
| ~ v3_rlvect_1(U_8749)
| v3_struct_0(U_8749)
| ~ l3_vectsp_1(U_8750)
| ~ v8_vectsp_1(U_8750)
| ~ v7_vectsp_1(U_8750)
| ~ v6_vectsp_1(U_8750)
| ~ v4_group_1(U_8750)
| ~ v6_rlvect_1(U_8750)
| ~ v5_rlvect_1(U_8750)
| ~ v4_rlvect_1(U_8750)
| ~ v3_rlvect_1(U_8750)
| v3_struct_0(U_8750) ),
inference(clausify,[status(thm)],[f_3411_3]) ).
fof(f_3412_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k9_rmod_4(A,B,C,D) = k6_rmod_4(A,B,C,k8_rmod_4(A,B,D))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d14_rmod_4]) ).
fof(f_3412_2,plain,
! [U_8754] :
( ! [U_8753] :
( ! [U_8752] :
( ! [U_8751] :
( k9_rmod_4(U_8754,U_8753,U_8752,U_8751) = k6_rmod_4(U_8754,U_8753,U_8752,k8_rmod_4(U_8754,U_8753,U_8751))
| ~ m1_rmod_4(U_8751,U_8754,U_8753) )
| ~ m1_rmod_4(U_8752,U_8754,U_8753) )
| ~ l1_vectsp_2(U_8753,U_8754)
| ~ v5_vectsp_2(U_8753,U_8754)
| ~ v6_rlvect_1(U_8753)
| ~ v5_rlvect_1(U_8753)
| ~ v4_rlvect_1(U_8753)
| ~ v3_rlvect_1(U_8753)
| v3_struct_0(U_8753) )
| ~ l3_vectsp_1(U_8754)
| ~ v8_vectsp_1(U_8754)
| ~ v7_vectsp_1(U_8754)
| ~ v6_vectsp_1(U_8754)
| ~ v4_group_1(U_8754)
| ~ v6_rlvect_1(U_8754)
| ~ v5_rlvect_1(U_8754)
| ~ v4_rlvect_1(U_8754)
| ~ v3_rlvect_1(U_8754)
| v3_struct_0(U_8754) ),
inference(variable_rename,[status(thm)],[f_3412_1]) ).
fof(f_3412_3,plain,
! [U_8754,U_8752,U_8753,U_8751] :
( k9_rmod_4(U_8754,U_8753,U_8752,U_8751) = k6_rmod_4(U_8754,U_8753,U_8752,k8_rmod_4(U_8754,U_8753,U_8751))
| ~ m1_rmod_4(U_8751,U_8754,U_8753)
| ~ m1_rmod_4(U_8752,U_8754,U_8753)
| ~ l1_vectsp_2(U_8753,U_8754)
| ~ v5_vectsp_2(U_8753,U_8754)
| ~ v6_rlvect_1(U_8753)
| ~ v5_rlvect_1(U_8753)
| ~ v4_rlvect_1(U_8753)
| ~ v3_rlvect_1(U_8753)
| v3_struct_0(U_8753)
| ~ l3_vectsp_1(U_8754)
| ~ v8_vectsp_1(U_8754)
| ~ v7_vectsp_1(U_8754)
| ~ v6_vectsp_1(U_8754)
| ~ v4_group_1(U_8754)
| ~ v6_rlvect_1(U_8754)
| ~ v5_rlvect_1(U_8754)
| ~ v4_rlvect_1(U_8754)
| ~ v3_rlvect_1(U_8754)
| v3_struct_0(U_8754) ),
inference(definitional_conversion,[status(esa)],[f_3412_2]) ).
cnf(f_3412_4,plain,
( k9_rmod_4(U_8754,U_8753,U_8752,U_8751) = k6_rmod_4(U_8754,U_8753,U_8752,k8_rmod_4(U_8754,U_8753,U_8751))
| ~ m1_rmod_4(U_8751,U_8754,U_8753)
| ~ m1_rmod_4(U_8752,U_8754,U_8753)
| ~ l1_vectsp_2(U_8753,U_8754)
| ~ v5_vectsp_2(U_8753,U_8754)
| ~ v6_rlvect_1(U_8753)
| ~ v5_rlvect_1(U_8753)
| ~ v4_rlvect_1(U_8753)
| ~ v3_rlvect_1(U_8753)
| v3_struct_0(U_8753)
| ~ l3_vectsp_1(U_8754)
| ~ v8_vectsp_1(U_8754)
| ~ v7_vectsp_1(U_8754)
| ~ v6_vectsp_1(U_8754)
| ~ v4_group_1(U_8754)
| ~ v6_rlvect_1(U_8754)
| ~ v5_rlvect_1(U_8754)
| ~ v4_rlvect_1(U_8754)
| ~ v3_rlvect_1(U_8754)
| v3_struct_0(U_8754) ),
inference(clausify,[status(thm)],[f_3412_3]) ).
fof(f_3413_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t71_rmod_4]) ).
fof(f_3413_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3413_1]) ).
cnf(f_3413_3,plain,
$true,
inference(clausify,[status(thm)],[f_3413_2]) ).
fof(f_3414_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t72_rmod_4]) ).
fof(f_3414_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3414_1]) ).
cnf(f_3414_3,plain,
$true,
inference(clausify,[status(thm)],[f_3414_2]) ).
fof(f_3415_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k8_funct_2(u1_struct_0(B),u1_struct_0(A),k9_rmod_4(A,B,D,E),C) = k6_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C))
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t73_rmod_4]) ).
fof(f_3415_2,plain,
! [U_8759] :
( ! [U_8758] :
( ! [U_8757] :
( ! [U_8756] :
( ! [U_8755] :
( k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),k9_rmod_4(U_8759,U_8758,U_8756,U_8755),U_8757) = k6_rlvect_1(U_8759,k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),U_8756,U_8757),k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),U_8755,U_8757))
| ~ m1_rmod_4(U_8755,U_8759,U_8758) )
| ~ m1_rmod_4(U_8756,U_8759,U_8758) )
| ~ m1_subset_1(U_8757,u1_struct_0(U_8758)) )
| ~ l1_vectsp_2(U_8758,U_8759)
| ~ v5_vectsp_2(U_8758,U_8759)
| ~ v6_rlvect_1(U_8758)
| ~ v5_rlvect_1(U_8758)
| ~ v4_rlvect_1(U_8758)
| ~ v3_rlvect_1(U_8758)
| v3_struct_0(U_8758) )
| ~ l3_vectsp_1(U_8759)
| ~ v8_vectsp_1(U_8759)
| ~ v7_vectsp_1(U_8759)
| ~ v6_vectsp_1(U_8759)
| ~ v4_group_1(U_8759)
| ~ v6_rlvect_1(U_8759)
| ~ v5_rlvect_1(U_8759)
| ~ v4_rlvect_1(U_8759)
| ~ v3_rlvect_1(U_8759)
| v3_struct_0(U_8759) ),
inference(variable_rename,[status(thm)],[f_3415_1]) ).
fof(f_3415_3,plain,
! [U_8756,U_8755,U_8758,U_8757,U_8759] :
( k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),k9_rmod_4(U_8759,U_8758,U_8756,U_8755),U_8757) = k6_rlvect_1(U_8759,k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),U_8756,U_8757),k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),U_8755,U_8757))
| ~ m1_rmod_4(U_8755,U_8759,U_8758)
| ~ m1_rmod_4(U_8756,U_8759,U_8758)
| ~ m1_subset_1(U_8757,u1_struct_0(U_8758))
| ~ l1_vectsp_2(U_8758,U_8759)
| ~ v5_vectsp_2(U_8758,U_8759)
| ~ v6_rlvect_1(U_8758)
| ~ v5_rlvect_1(U_8758)
| ~ v4_rlvect_1(U_8758)
| ~ v3_rlvect_1(U_8758)
| v3_struct_0(U_8758)
| ~ l3_vectsp_1(U_8759)
| ~ v8_vectsp_1(U_8759)
| ~ v7_vectsp_1(U_8759)
| ~ v6_vectsp_1(U_8759)
| ~ v4_group_1(U_8759)
| ~ v6_rlvect_1(U_8759)
| ~ v5_rlvect_1(U_8759)
| ~ v4_rlvect_1(U_8759)
| ~ v3_rlvect_1(U_8759)
| v3_struct_0(U_8759) ),
inference(definitional_conversion,[status(esa)],[f_3415_2]) ).
cnf(f_3415_4,plain,
( k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),k9_rmod_4(U_8759,U_8758,U_8756,U_8755),U_8757) = k6_rlvect_1(U_8759,k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),U_8756,U_8757),k8_funct_2(u1_struct_0(U_8758),u1_struct_0(U_8759),U_8755,U_8757))
| ~ m1_rmod_4(U_8755,U_8759,U_8758)
| ~ m1_rmod_4(U_8756,U_8759,U_8758)
| ~ m1_subset_1(U_8757,u1_struct_0(U_8758))
| ~ l1_vectsp_2(U_8758,U_8759)
| ~ v5_vectsp_2(U_8758,U_8759)
| ~ v6_rlvect_1(U_8758)
| ~ v5_rlvect_1(U_8758)
| ~ v4_rlvect_1(U_8758)
| ~ v3_rlvect_1(U_8758)
| v3_struct_0(U_8758)
| ~ l3_vectsp_1(U_8759)
| ~ v8_vectsp_1(U_8759)
| ~ v7_vectsp_1(U_8759)
| ~ v6_vectsp_1(U_8759)
| ~ v4_group_1(U_8759)
| ~ v6_rlvect_1(U_8759)
| ~ v5_rlvect_1(U_8759)
| ~ v4_rlvect_1(U_8759)
| ~ v3_rlvect_1(U_8759)
| v3_struct_0(U_8759) ),
inference(clausify,[status(thm)],[f_3415_3]) ).
fof(f_3416_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_tarski(k2_rmod_4(A,B,k9_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D)))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t74_rmod_4]) ).
fof(f_3416_2,plain,
! [U_8763] :
( ! [U_8762] :
( ! [U_8761] :
( ! [U_8760] :
( r1_tarski(k2_rmod_4(U_8763,U_8762,k9_rmod_4(U_8763,U_8762,U_8761,U_8760)),k2_rlvect_2(U_8762,k2_rmod_4(U_8763,U_8762,U_8761),k2_rmod_4(U_8763,U_8762,U_8760)))
| ~ m1_rmod_4(U_8760,U_8763,U_8762) )
| ~ m1_rmod_4(U_8761,U_8763,U_8762) )
| ~ l1_vectsp_2(U_8762,U_8763)
| ~ v5_vectsp_2(U_8762,U_8763)
| ~ v6_rlvect_1(U_8762)
| ~ v5_rlvect_1(U_8762)
| ~ v4_rlvect_1(U_8762)
| ~ v3_rlvect_1(U_8762)
| v3_struct_0(U_8762) )
| ~ l3_vectsp_1(U_8763)
| ~ v8_vectsp_1(U_8763)
| ~ v7_vectsp_1(U_8763)
| ~ v6_vectsp_1(U_8763)
| ~ v4_group_1(U_8763)
| ~ v6_rlvect_1(U_8763)
| ~ v5_rlvect_1(U_8763)
| ~ v4_rlvect_1(U_8763)
| ~ v3_rlvect_1(U_8763)
| v3_struct_0(U_8763) ),
inference(variable_rename,[status(thm)],[f_3416_1]) ).
fof(f_3416_3,plain,
! [U_8760,U_8763,U_8761,U_8762] :
( r1_tarski(k2_rmod_4(U_8763,U_8762,k9_rmod_4(U_8763,U_8762,U_8761,U_8760)),k2_rlvect_2(U_8762,k2_rmod_4(U_8763,U_8762,U_8761),k2_rmod_4(U_8763,U_8762,U_8760)))
| ~ m1_rmod_4(U_8760,U_8763,U_8762)
| ~ m1_rmod_4(U_8761,U_8763,U_8762)
| ~ l1_vectsp_2(U_8762,U_8763)
| ~ v5_vectsp_2(U_8762,U_8763)
| ~ v6_rlvect_1(U_8762)
| ~ v5_rlvect_1(U_8762)
| ~ v4_rlvect_1(U_8762)
| ~ v3_rlvect_1(U_8762)
| v3_struct_0(U_8762)
| ~ l3_vectsp_1(U_8763)
| ~ v8_vectsp_1(U_8763)
| ~ v7_vectsp_1(U_8763)
| ~ v6_vectsp_1(U_8763)
| ~ v4_group_1(U_8763)
| ~ v6_rlvect_1(U_8763)
| ~ v5_rlvect_1(U_8763)
| ~ v4_rlvect_1(U_8763)
| ~ v3_rlvect_1(U_8763)
| v3_struct_0(U_8763) ),
inference(definitional_conversion,[status(esa)],[f_3416_2]) ).
cnf(f_3416_4,plain,
( r1_tarski(k2_rmod_4(U_8763,U_8762,k9_rmod_4(U_8763,U_8762,U_8761,U_8760)),k2_rlvect_2(U_8762,k2_rmod_4(U_8763,U_8762,U_8761),k2_rmod_4(U_8763,U_8762,U_8760)))
| ~ m1_rmod_4(U_8760,U_8763,U_8762)
| ~ m1_rmod_4(U_8761,U_8763,U_8762)
| ~ l1_vectsp_2(U_8762,U_8763)
| ~ v5_vectsp_2(U_8762,U_8763)
| ~ v6_rlvect_1(U_8762)
| ~ v5_rlvect_1(U_8762)
| ~ v4_rlvect_1(U_8762)
| ~ v3_rlvect_1(U_8762)
| v3_struct_0(U_8762)
| ~ l3_vectsp_1(U_8763)
| ~ v8_vectsp_1(U_8763)
| ~ v7_vectsp_1(U_8763)
| ~ v6_vectsp_1(U_8763)
| ~ v4_group_1(U_8763)
| ~ v6_rlvect_1(U_8763)
| ~ v5_rlvect_1(U_8763)
| ~ v4_rlvect_1(U_8763)
| ~ v3_rlvect_1(U_8763)
| v3_struct_0(U_8763) ),
inference(clausify,[status(thm)],[f_3416_3]) ).
fof(f_3417_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m2_rmod_4(k9_rmod_4(A,B,D,E),A,B,C)
| ~ m2_rmod_4(E,A,B,C)
| ~ m2_rmod_4(D,A,B,C)
| ~ m1_rmod_4(E,A,B) )
| ~ m1_rmod_4(D,A,B) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t75_rmod_4]) ).
fof(f_3417_2,plain,
! [U_8768] :
( ! [U_8767] :
( ! [U_8766] :
( ! [U_8765] :
( ! [U_8764] :
( m2_rmod_4(k9_rmod_4(U_8768,U_8767,U_8765,U_8764),U_8768,U_8767,U_8766)
| ~ m2_rmod_4(U_8764,U_8768,U_8767,U_8766)
| ~ m2_rmod_4(U_8765,U_8768,U_8767,U_8766)
| ~ m1_rmod_4(U_8764,U_8768,U_8767) )
| ~ m1_rmod_4(U_8765,U_8768,U_8767) )
| ~ m1_subset_1(U_8766,k1_zfmisc_1(u1_struct_0(U_8767))) )
| ~ l1_vectsp_2(U_8767,U_8768)
| ~ v5_vectsp_2(U_8767,U_8768)
| ~ v6_rlvect_1(U_8767)
| ~ v5_rlvect_1(U_8767)
| ~ v4_rlvect_1(U_8767)
| ~ v3_rlvect_1(U_8767)
| v3_struct_0(U_8767) )
| ~ l3_vectsp_1(U_8768)
| ~ v8_vectsp_1(U_8768)
| ~ v7_vectsp_1(U_8768)
| ~ v6_vectsp_1(U_8768)
| ~ v4_group_1(U_8768)
| ~ v6_rlvect_1(U_8768)
| ~ v5_rlvect_1(U_8768)
| ~ v4_rlvect_1(U_8768)
| ~ v3_rlvect_1(U_8768)
| v3_struct_0(U_8768) ),
inference(variable_rename,[status(thm)],[f_3417_1]) ).
fof(f_3417_3,plain,
! [U_8768,U_8766,U_8764,U_8767,U_8765] :
( m2_rmod_4(k9_rmod_4(U_8768,U_8767,U_8765,U_8764),U_8768,U_8767,U_8766)
| ~ m2_rmod_4(U_8764,U_8768,U_8767,U_8766)
| ~ m2_rmod_4(U_8765,U_8768,U_8767,U_8766)
| ~ m1_rmod_4(U_8764,U_8768,U_8767)
| ~ m1_rmod_4(U_8765,U_8768,U_8767)
| ~ m1_subset_1(U_8766,k1_zfmisc_1(u1_struct_0(U_8767)))
| ~ l1_vectsp_2(U_8767,U_8768)
| ~ v5_vectsp_2(U_8767,U_8768)
| ~ v6_rlvect_1(U_8767)
| ~ v5_rlvect_1(U_8767)
| ~ v4_rlvect_1(U_8767)
| ~ v3_rlvect_1(U_8767)
| v3_struct_0(U_8767)
| ~ l3_vectsp_1(U_8768)
| ~ v8_vectsp_1(U_8768)
| ~ v7_vectsp_1(U_8768)
| ~ v6_vectsp_1(U_8768)
| ~ v4_group_1(U_8768)
| ~ v6_rlvect_1(U_8768)
| ~ v5_rlvect_1(U_8768)
| ~ v4_rlvect_1(U_8768)
| ~ v3_rlvect_1(U_8768)
| v3_struct_0(U_8768) ),
inference(definitional_conversion,[status(esa)],[f_3417_2]) ).
cnf(f_3417_4,plain,
( m2_rmod_4(k9_rmod_4(U_8768,U_8767,U_8765,U_8764),U_8768,U_8767,U_8766)
| ~ m2_rmod_4(U_8764,U_8768,U_8767,U_8766)
| ~ m2_rmod_4(U_8765,U_8768,U_8767,U_8766)
| ~ m1_rmod_4(U_8764,U_8768,U_8767)
| ~ m1_rmod_4(U_8765,U_8768,U_8767)
| ~ m1_subset_1(U_8766,k1_zfmisc_1(u1_struct_0(U_8767)))
| ~ l1_vectsp_2(U_8767,U_8768)
| ~ v5_vectsp_2(U_8767,U_8768)
| ~ v6_rlvect_1(U_8767)
| ~ v5_rlvect_1(U_8767)
| ~ v4_rlvect_1(U_8767)
| ~ v3_rlvect_1(U_8767)
| v3_struct_0(U_8767)
| ~ l3_vectsp_1(U_8768)
| ~ v8_vectsp_1(U_8768)
| ~ v7_vectsp_1(U_8768)
| ~ v6_vectsp_1(U_8768)
| ~ v4_group_1(U_8768)
| ~ v6_rlvect_1(U_8768)
| ~ v5_rlvect_1(U_8768)
| ~ v4_rlvect_1(U_8768)
| ~ v3_rlvect_1(U_8768)
| v3_struct_0(U_8768) ),
inference(clausify,[status(thm)],[f_3417_3]) ).
fof(f_3418_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( r1_rmod_4(A,B,k9_rmod_4(A,B,C,C),k3_rmod_4(A,B))
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t76_rmod_4]) ).
fof(f_3418_2,plain,
! [U_8771] :
( ! [U_8770] :
( ! [U_8769] :
( r1_rmod_4(U_8771,U_8770,k9_rmod_4(U_8771,U_8770,U_8769,U_8769),k3_rmod_4(U_8771,U_8770))
| ~ m1_rmod_4(U_8769,U_8771,U_8770) )
| ~ l1_vectsp_2(U_8770,U_8771)
| ~ v5_vectsp_2(U_8770,U_8771)
| ~ v6_rlvect_1(U_8770)
| ~ v5_rlvect_1(U_8770)
| ~ v4_rlvect_1(U_8770)
| ~ v3_rlvect_1(U_8770)
| v3_struct_0(U_8770) )
| ~ l3_vectsp_1(U_8771)
| ~ v8_vectsp_1(U_8771)
| ~ v7_vectsp_1(U_8771)
| ~ v6_vectsp_1(U_8771)
| ~ v4_group_1(U_8771)
| ~ v6_rlvect_1(U_8771)
| ~ v5_rlvect_1(U_8771)
| ~ v4_rlvect_1(U_8771)
| ~ v3_rlvect_1(U_8771)
| v3_struct_0(U_8771) ),
inference(variable_rename,[status(thm)],[f_3418_1]) ).
fof(f_3418_3,plain,
! [U_8771,U_8769,U_8770] :
( r1_rmod_4(U_8771,U_8770,k9_rmod_4(U_8771,U_8770,U_8769,U_8769),k3_rmod_4(U_8771,U_8770))
| ~ m1_rmod_4(U_8769,U_8771,U_8770)
| ~ l1_vectsp_2(U_8770,U_8771)
| ~ v5_vectsp_2(U_8770,U_8771)
| ~ v6_rlvect_1(U_8770)
| ~ v5_rlvect_1(U_8770)
| ~ v4_rlvect_1(U_8770)
| ~ v3_rlvect_1(U_8770)
| v3_struct_0(U_8770)
| ~ l3_vectsp_1(U_8771)
| ~ v8_vectsp_1(U_8771)
| ~ v7_vectsp_1(U_8771)
| ~ v6_vectsp_1(U_8771)
| ~ v4_group_1(U_8771)
| ~ v6_rlvect_1(U_8771)
| ~ v5_rlvect_1(U_8771)
| ~ v4_rlvect_1(U_8771)
| ~ v3_rlvect_1(U_8771)
| v3_struct_0(U_8771) ),
inference(definitional_conversion,[status(esa)],[f_3418_2]) ).
cnf(f_3418_4,plain,
( r1_rmod_4(U_8771,U_8770,k9_rmod_4(U_8771,U_8770,U_8769,U_8769),k3_rmod_4(U_8771,U_8770))
| ~ m1_rmod_4(U_8769,U_8771,U_8770)
| ~ l1_vectsp_2(U_8770,U_8771)
| ~ v5_vectsp_2(U_8770,U_8771)
| ~ v6_rlvect_1(U_8770)
| ~ v5_rlvect_1(U_8770)
| ~ v4_rlvect_1(U_8770)
| ~ v3_rlvect_1(U_8770)
| v3_struct_0(U_8770)
| ~ l3_vectsp_1(U_8771)
| ~ v8_vectsp_1(U_8771)
| ~ v7_vectsp_1(U_8771)
| ~ v6_vectsp_1(U_8771)
| ~ v4_group_1(U_8771)
| ~ v6_rlvect_1(U_8771)
| ~ v5_rlvect_1(U_8771)
| ~ v4_rlvect_1(U_8771)
| ~ v3_rlvect_1(U_8771)
| v3_struct_0(U_8771) ),
inference(clausify,[status(thm)],[f_3418_3]) ).
fof(f_3419_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rmod_4(A,B,k6_rmod_4(A,B,C,D)) = k4_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t77_rmod_4]) ).
fof(f_3419_2,plain,
! [U_8775] :
( ! [U_8774] :
( ! [U_8773] :
( ! [U_8772] :
( k5_rmod_4(U_8775,U_8774,k6_rmod_4(U_8775,U_8774,U_8773,U_8772)) = k4_rlvect_1(U_8774,k5_rmod_4(U_8775,U_8774,U_8773),k5_rmod_4(U_8775,U_8774,U_8772))
| ~ m1_rmod_4(U_8772,U_8775,U_8774) )
| ~ m1_rmod_4(U_8773,U_8775,U_8774) )
| ~ l1_vectsp_2(U_8774,U_8775)
| ~ v5_vectsp_2(U_8774,U_8775)
| ~ v6_rlvect_1(U_8774)
| ~ v5_rlvect_1(U_8774)
| ~ v4_rlvect_1(U_8774)
| ~ v3_rlvect_1(U_8774)
| v3_struct_0(U_8774) )
| ~ l3_vectsp_1(U_8775)
| ~ v8_vectsp_1(U_8775)
| ~ v7_vectsp_1(U_8775)
| ~ v6_vectsp_1(U_8775)
| ~ v4_group_1(U_8775)
| ~ v6_rlvect_1(U_8775)
| ~ v5_rlvect_1(U_8775)
| ~ v4_rlvect_1(U_8775)
| ~ v3_rlvect_1(U_8775)
| v3_struct_0(U_8775) ),
inference(variable_rename,[status(thm)],[f_3419_1]) ).
fof(f_3419_3,plain,
! [U_8772,U_8775,U_8774,U_8773] :
( k5_rmod_4(U_8775,U_8774,k6_rmod_4(U_8775,U_8774,U_8773,U_8772)) = k4_rlvect_1(U_8774,k5_rmod_4(U_8775,U_8774,U_8773),k5_rmod_4(U_8775,U_8774,U_8772))
| ~ m1_rmod_4(U_8772,U_8775,U_8774)
| ~ m1_rmod_4(U_8773,U_8775,U_8774)
| ~ l1_vectsp_2(U_8774,U_8775)
| ~ v5_vectsp_2(U_8774,U_8775)
| ~ v6_rlvect_1(U_8774)
| ~ v5_rlvect_1(U_8774)
| ~ v4_rlvect_1(U_8774)
| ~ v3_rlvect_1(U_8774)
| v3_struct_0(U_8774)
| ~ l3_vectsp_1(U_8775)
| ~ v8_vectsp_1(U_8775)
| ~ v7_vectsp_1(U_8775)
| ~ v6_vectsp_1(U_8775)
| ~ v4_group_1(U_8775)
| ~ v6_rlvect_1(U_8775)
| ~ v5_rlvect_1(U_8775)
| ~ v4_rlvect_1(U_8775)
| ~ v3_rlvect_1(U_8775)
| v3_struct_0(U_8775) ),
inference(definitional_conversion,[status(esa)],[f_3419_2]) ).
cnf(f_3419_4,plain,
( k5_rmod_4(U_8775,U_8774,k6_rmod_4(U_8775,U_8774,U_8773,U_8772)) = k4_rlvect_1(U_8774,k5_rmod_4(U_8775,U_8774,U_8773),k5_rmod_4(U_8775,U_8774,U_8772))
| ~ m1_rmod_4(U_8772,U_8775,U_8774)
| ~ m1_rmod_4(U_8773,U_8775,U_8774)
| ~ l1_vectsp_2(U_8774,U_8775)
| ~ v5_vectsp_2(U_8774,U_8775)
| ~ v6_rlvect_1(U_8774)
| ~ v5_rlvect_1(U_8774)
| ~ v4_rlvect_1(U_8774)
| ~ v3_rlvect_1(U_8774)
| v3_struct_0(U_8774)
| ~ l3_vectsp_1(U_8775)
| ~ v8_vectsp_1(U_8775)
| ~ v7_vectsp_1(U_8775)
| ~ v6_vectsp_1(U_8775)
| ~ v4_group_1(U_8775)
| ~ v6_rlvect_1(U_8775)
| ~ v5_rlvect_1(U_8775)
| ~ v4_rlvect_1(U_8775)
| ~ v3_rlvect_1(U_8775)
| v3_struct_0(U_8775) ),
inference(clausify,[status(thm)],[f_3419_3]) ).
fof(f_3420_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rmod_4(A,B,k7_rmod_4(A,B,D,C)) = k6_vectsp_2(A,B,D,k5_rmod_4(A,B,C))
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t78_rmod_4]) ).
fof(f_3420_2,plain,
! [U_8779] :
( ! [U_8778] :
( ! [U_8777] :
( ! [U_8776] :
( k5_rmod_4(U_8779,U_8778,k7_rmod_4(U_8779,U_8778,U_8776,U_8777)) = k6_vectsp_2(U_8779,U_8778,U_8776,k5_rmod_4(U_8779,U_8778,U_8777))
| ~ m1_subset_1(U_8776,u1_struct_0(U_8779)) )
| ~ m1_rmod_4(U_8777,U_8779,U_8778) )
| ~ l1_vectsp_2(U_8778,U_8779)
| ~ v5_vectsp_2(U_8778,U_8779)
| ~ v6_rlvect_1(U_8778)
| ~ v5_rlvect_1(U_8778)
| ~ v4_rlvect_1(U_8778)
| ~ v3_rlvect_1(U_8778)
| v3_struct_0(U_8778) )
| ~ l3_vectsp_1(U_8779)
| ~ v2_vectsp_2(U_8779)
| v10_vectsp_1(U_8779)
| ~ v8_vectsp_1(U_8779)
| ~ v7_vectsp_1(U_8779)
| ~ v6_vectsp_1(U_8779)
| ~ v7_group_1(U_8779)
| ~ v4_group_1(U_8779)
| ~ v6_rlvect_1(U_8779)
| ~ v5_rlvect_1(U_8779)
| ~ v4_rlvect_1(U_8779)
| ~ v3_rlvect_1(U_8779)
| v3_struct_0(U_8779) ),
inference(variable_rename,[status(thm)],[f_3420_1]) ).
fof(f_3420_3,plain,
! [U_8777,U_8776,U_8779,U_8778] :
( k5_rmod_4(U_8779,U_8778,k7_rmod_4(U_8779,U_8778,U_8776,U_8777)) = k6_vectsp_2(U_8779,U_8778,U_8776,k5_rmod_4(U_8779,U_8778,U_8777))
| ~ m1_subset_1(U_8776,u1_struct_0(U_8779))
| ~ m1_rmod_4(U_8777,U_8779,U_8778)
| ~ l1_vectsp_2(U_8778,U_8779)
| ~ v5_vectsp_2(U_8778,U_8779)
| ~ v6_rlvect_1(U_8778)
| ~ v5_rlvect_1(U_8778)
| ~ v4_rlvect_1(U_8778)
| ~ v3_rlvect_1(U_8778)
| v3_struct_0(U_8778)
| ~ l3_vectsp_1(U_8779)
| ~ v2_vectsp_2(U_8779)
| v10_vectsp_1(U_8779)
| ~ v8_vectsp_1(U_8779)
| ~ v7_vectsp_1(U_8779)
| ~ v6_vectsp_1(U_8779)
| ~ v7_group_1(U_8779)
| ~ v4_group_1(U_8779)
| ~ v6_rlvect_1(U_8779)
| ~ v5_rlvect_1(U_8779)
| ~ v4_rlvect_1(U_8779)
| ~ v3_rlvect_1(U_8779)
| v3_struct_0(U_8779) ),
inference(definitional_conversion,[status(esa)],[f_3420_2]) ).
cnf(f_3420_4,plain,
( k5_rmod_4(U_8779,U_8778,k7_rmod_4(U_8779,U_8778,U_8776,U_8777)) = k6_vectsp_2(U_8779,U_8778,U_8776,k5_rmod_4(U_8779,U_8778,U_8777))
| ~ m1_subset_1(U_8776,u1_struct_0(U_8779))
| ~ m1_rmod_4(U_8777,U_8779,U_8778)
| ~ l1_vectsp_2(U_8778,U_8779)
| ~ v5_vectsp_2(U_8778,U_8779)
| ~ v6_rlvect_1(U_8778)
| ~ v5_rlvect_1(U_8778)
| ~ v4_rlvect_1(U_8778)
| ~ v3_rlvect_1(U_8778)
| v3_struct_0(U_8778)
| ~ l3_vectsp_1(U_8779)
| ~ v2_vectsp_2(U_8779)
| v10_vectsp_1(U_8779)
| ~ v8_vectsp_1(U_8779)
| ~ v7_vectsp_1(U_8779)
| ~ v6_vectsp_1(U_8779)
| ~ v7_group_1(U_8779)
| ~ v4_group_1(U_8779)
| ~ v6_rlvect_1(U_8779)
| ~ v5_rlvect_1(U_8779)
| ~ v4_rlvect_1(U_8779)
| ~ v3_rlvect_1(U_8779)
| v3_struct_0(U_8779) ),
inference(clausify,[status(thm)],[f_3420_3]) ).
fof(f_3421_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k5_rmod_4(A,B,k8_rmod_4(A,B,C)) = k5_rlvect_1(B,k5_rmod_4(A,B,C))
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t79_rmod_4]) ).
fof(f_3421_2,plain,
! [U_8782] :
( ! [U_8781] :
( ! [U_8780] :
( k5_rmod_4(U_8782,U_8781,k8_rmod_4(U_8782,U_8781,U_8780)) = k5_rlvect_1(U_8781,k5_rmod_4(U_8782,U_8781,U_8780))
| ~ m1_rmod_4(U_8780,U_8782,U_8781) )
| ~ l1_vectsp_2(U_8781,U_8782)
| ~ v5_vectsp_2(U_8781,U_8782)
| ~ v6_rlvect_1(U_8781)
| ~ v5_rlvect_1(U_8781)
| ~ v4_rlvect_1(U_8781)
| ~ v3_rlvect_1(U_8781)
| v3_struct_0(U_8781) )
| ~ l3_vectsp_1(U_8782)
| ~ v2_vectsp_2(U_8782)
| v10_vectsp_1(U_8782)
| ~ v8_vectsp_1(U_8782)
| ~ v7_vectsp_1(U_8782)
| ~ v6_vectsp_1(U_8782)
| ~ v7_group_1(U_8782)
| ~ v4_group_1(U_8782)
| ~ v6_rlvect_1(U_8782)
| ~ v5_rlvect_1(U_8782)
| ~ v4_rlvect_1(U_8782)
| ~ v3_rlvect_1(U_8782)
| v3_struct_0(U_8782) ),
inference(variable_rename,[status(thm)],[f_3421_1]) ).
fof(f_3421_3,plain,
! [U_8780,U_8781,U_8782] :
( k5_rmod_4(U_8782,U_8781,k8_rmod_4(U_8782,U_8781,U_8780)) = k5_rlvect_1(U_8781,k5_rmod_4(U_8782,U_8781,U_8780))
| ~ m1_rmod_4(U_8780,U_8782,U_8781)
| ~ l1_vectsp_2(U_8781,U_8782)
| ~ v5_vectsp_2(U_8781,U_8782)
| ~ v6_rlvect_1(U_8781)
| ~ v5_rlvect_1(U_8781)
| ~ v4_rlvect_1(U_8781)
| ~ v3_rlvect_1(U_8781)
| v3_struct_0(U_8781)
| ~ l3_vectsp_1(U_8782)
| ~ v2_vectsp_2(U_8782)
| v10_vectsp_1(U_8782)
| ~ v8_vectsp_1(U_8782)
| ~ v7_vectsp_1(U_8782)
| ~ v6_vectsp_1(U_8782)
| ~ v7_group_1(U_8782)
| ~ v4_group_1(U_8782)
| ~ v6_rlvect_1(U_8782)
| ~ v5_rlvect_1(U_8782)
| ~ v4_rlvect_1(U_8782)
| ~ v3_rlvect_1(U_8782)
| v3_struct_0(U_8782) ),
inference(definitional_conversion,[status(esa)],[f_3421_2]) ).
cnf(f_3421_4,plain,
( k5_rmod_4(U_8782,U_8781,k8_rmod_4(U_8782,U_8781,U_8780)) = k5_rlvect_1(U_8781,k5_rmod_4(U_8782,U_8781,U_8780))
| ~ m1_rmod_4(U_8780,U_8782,U_8781)
| ~ l1_vectsp_2(U_8781,U_8782)
| ~ v5_vectsp_2(U_8781,U_8782)
| ~ v6_rlvect_1(U_8781)
| ~ v5_rlvect_1(U_8781)
| ~ v4_rlvect_1(U_8781)
| ~ v3_rlvect_1(U_8781)
| v3_struct_0(U_8781)
| ~ l3_vectsp_1(U_8782)
| ~ v2_vectsp_2(U_8782)
| v10_vectsp_1(U_8782)
| ~ v8_vectsp_1(U_8782)
| ~ v7_vectsp_1(U_8782)
| ~ v6_vectsp_1(U_8782)
| ~ v7_group_1(U_8782)
| ~ v4_group_1(U_8782)
| ~ v6_rlvect_1(U_8782)
| ~ v5_rlvect_1(U_8782)
| ~ v4_rlvect_1(U_8782)
| ~ v3_rlvect_1(U_8782)
| v3_struct_0(U_8782) ),
inference(clausify,[status(thm)],[f_3421_3]) ).
fof(f_3422_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k5_rmod_4(A,B,k9_rmod_4(A,B,C,D)) = k6_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D))
| ~ m1_rmod_4(D,A,B) )
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t80_rmod_4]) ).
fof(f_3422_2,plain,
! [U_8786] :
( ! [U_8785] :
( ! [U_8784] :
( ! [U_8783] :
( k5_rmod_4(U_8786,U_8785,k9_rmod_4(U_8786,U_8785,U_8784,U_8783)) = k6_rlvect_1(U_8785,k5_rmod_4(U_8786,U_8785,U_8784),k5_rmod_4(U_8786,U_8785,U_8783))
| ~ m1_rmod_4(U_8783,U_8786,U_8785) )
| ~ m1_rmod_4(U_8784,U_8786,U_8785) )
| ~ l1_vectsp_2(U_8785,U_8786)
| ~ v5_vectsp_2(U_8785,U_8786)
| ~ v6_rlvect_1(U_8785)
| ~ v5_rlvect_1(U_8785)
| ~ v4_rlvect_1(U_8785)
| ~ v3_rlvect_1(U_8785)
| v3_struct_0(U_8785) )
| ~ l3_vectsp_1(U_8786)
| ~ v2_vectsp_2(U_8786)
| v10_vectsp_1(U_8786)
| ~ v8_vectsp_1(U_8786)
| ~ v7_vectsp_1(U_8786)
| ~ v6_vectsp_1(U_8786)
| ~ v7_group_1(U_8786)
| ~ v4_group_1(U_8786)
| ~ v6_rlvect_1(U_8786)
| ~ v5_rlvect_1(U_8786)
| ~ v4_rlvect_1(U_8786)
| ~ v3_rlvect_1(U_8786)
| v3_struct_0(U_8786) ),
inference(variable_rename,[status(thm)],[f_3422_1]) ).
fof(f_3422_3,plain,
! [U_8784,U_8786,U_8785,U_8783] :
( k5_rmod_4(U_8786,U_8785,k9_rmod_4(U_8786,U_8785,U_8784,U_8783)) = k6_rlvect_1(U_8785,k5_rmod_4(U_8786,U_8785,U_8784),k5_rmod_4(U_8786,U_8785,U_8783))
| ~ m1_rmod_4(U_8783,U_8786,U_8785)
| ~ m1_rmod_4(U_8784,U_8786,U_8785)
| ~ l1_vectsp_2(U_8785,U_8786)
| ~ v5_vectsp_2(U_8785,U_8786)
| ~ v6_rlvect_1(U_8785)
| ~ v5_rlvect_1(U_8785)
| ~ v4_rlvect_1(U_8785)
| ~ v3_rlvect_1(U_8785)
| v3_struct_0(U_8785)
| ~ l3_vectsp_1(U_8786)
| ~ v2_vectsp_2(U_8786)
| v10_vectsp_1(U_8786)
| ~ v8_vectsp_1(U_8786)
| ~ v7_vectsp_1(U_8786)
| ~ v6_vectsp_1(U_8786)
| ~ v7_group_1(U_8786)
| ~ v4_group_1(U_8786)
| ~ v6_rlvect_1(U_8786)
| ~ v5_rlvect_1(U_8786)
| ~ v4_rlvect_1(U_8786)
| ~ v3_rlvect_1(U_8786)
| v3_struct_0(U_8786) ),
inference(definitional_conversion,[status(esa)],[f_3422_2]) ).
cnf(f_3422_4,plain,
( k5_rmod_4(U_8786,U_8785,k9_rmod_4(U_8786,U_8785,U_8784,U_8783)) = k6_rlvect_1(U_8785,k5_rmod_4(U_8786,U_8785,U_8784),k5_rmod_4(U_8786,U_8785,U_8783))
| ~ m1_rmod_4(U_8783,U_8786,U_8785)
| ~ m1_rmod_4(U_8784,U_8786,U_8785)
| ~ l1_vectsp_2(U_8785,U_8786)
| ~ v5_vectsp_2(U_8785,U_8786)
| ~ v6_rlvect_1(U_8785)
| ~ v5_rlvect_1(U_8785)
| ~ v4_rlvect_1(U_8785)
| ~ v3_rlvect_1(U_8785)
| v3_struct_0(U_8785)
| ~ l3_vectsp_1(U_8786)
| ~ v2_vectsp_2(U_8786)
| v10_vectsp_1(U_8786)
| ~ v8_vectsp_1(U_8786)
| ~ v7_vectsp_1(U_8786)
| ~ v6_vectsp_1(U_8786)
| ~ v7_group_1(U_8786)
| ~ v4_group_1(U_8786)
| ~ v6_rlvect_1(U_8786)
| ~ v5_rlvect_1(U_8786)
| ~ v4_rlvect_1(U_8786)
| ~ v3_rlvect_1(U_8786)
| v3_struct_0(U_8786) ),
inference(clausify,[status(thm)],[f_3422_3]) ).
fof(f_3423_1,plain,
! [A,B] :
( ! [C] :
( m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A)))
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_rmod_4]) ).
fof(f_3423_2,plain,
! [U_8789,U_8788] :
( ! [U_8787] :
( m2_fraenkel(U_8787,u1_struct_0(U_8788),u1_struct_0(U_8789),k1_fraenkel(u1_struct_0(U_8788),u1_struct_0(U_8789)))
| ~ m1_rmod_4(U_8787,U_8789,U_8788) )
| ~ l1_vectsp_2(U_8788,U_8789)
| ~ v5_vectsp_2(U_8788,U_8789)
| ~ v6_rlvect_1(U_8788)
| ~ v5_rlvect_1(U_8788)
| ~ v4_rlvect_1(U_8788)
| ~ v3_rlvect_1(U_8788)
| v3_struct_0(U_8788)
| ~ l3_vectsp_1(U_8789)
| ~ v8_vectsp_1(U_8789)
| ~ v7_vectsp_1(U_8789)
| ~ v6_vectsp_1(U_8789)
| ~ v4_group_1(U_8789)
| ~ v6_rlvect_1(U_8789)
| ~ v5_rlvect_1(U_8789)
| ~ v4_rlvect_1(U_8789)
| ~ v3_rlvect_1(U_8789)
| v3_struct_0(U_8789) ),
inference(variable_rename,[status(thm)],[f_3423_1]) ).
fof(f_3423_3,plain,
! [U_8788,U_8789,U_8787] :
( m2_fraenkel(U_8787,u1_struct_0(U_8788),u1_struct_0(U_8789),k1_fraenkel(u1_struct_0(U_8788),u1_struct_0(U_8789)))
| ~ m1_rmod_4(U_8787,U_8789,U_8788)
| ~ l1_vectsp_2(U_8788,U_8789)
| ~ v5_vectsp_2(U_8788,U_8789)
| ~ v6_rlvect_1(U_8788)
| ~ v5_rlvect_1(U_8788)
| ~ v4_rlvect_1(U_8788)
| ~ v3_rlvect_1(U_8788)
| v3_struct_0(U_8788)
| ~ l3_vectsp_1(U_8789)
| ~ v8_vectsp_1(U_8789)
| ~ v7_vectsp_1(U_8789)
| ~ v6_vectsp_1(U_8789)
| ~ v4_group_1(U_8789)
| ~ v6_rlvect_1(U_8789)
| ~ v5_rlvect_1(U_8789)
| ~ v4_rlvect_1(U_8789)
| ~ v3_rlvect_1(U_8789)
| v3_struct_0(U_8789) ),
inference(definitional_conversion,[status(esa)],[f_3423_2]) ).
cnf(f_3423_4,plain,
( m2_fraenkel(U_8787,u1_struct_0(U_8788),u1_struct_0(U_8789),k1_fraenkel(u1_struct_0(U_8788),u1_struct_0(U_8789)))
| ~ m1_rmod_4(U_8787,U_8789,U_8788)
| ~ l1_vectsp_2(U_8788,U_8789)
| ~ v5_vectsp_2(U_8788,U_8789)
| ~ v6_rlvect_1(U_8788)
| ~ v5_rlvect_1(U_8788)
| ~ v4_rlvect_1(U_8788)
| ~ v3_rlvect_1(U_8788)
| v3_struct_0(U_8788)
| ~ l3_vectsp_1(U_8789)
| ~ v8_vectsp_1(U_8789)
| ~ v7_vectsp_1(U_8789)
| ~ v6_vectsp_1(U_8789)
| ~ v4_group_1(U_8789)
| ~ v6_rlvect_1(U_8789)
| ~ v5_rlvect_1(U_8789)
| ~ v4_rlvect_1(U_8789)
| ~ v3_rlvect_1(U_8789)
| v3_struct_0(U_8789) ),
inference(clausify,[status(thm)],[f_3423_3]) ).
fof(f_3424_1,plain,
! [A,B] :
( ? [C] : m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_rmod_4]) ).
fof(f_3424_2,plain,
! [U_8792,U_8791] :
( ? [U_8790] : m1_rmod_4(U_8790,U_8792,U_8791)
| ~ l1_vectsp_2(U_8791,U_8792)
| ~ v5_vectsp_2(U_8791,U_8792)
| ~ v6_rlvect_1(U_8791)
| ~ v5_rlvect_1(U_8791)
| ~ v4_rlvect_1(U_8791)
| ~ v3_rlvect_1(U_8791)
| v3_struct_0(U_8791)
| ~ l3_vectsp_1(U_8792)
| ~ v8_vectsp_1(U_8792)
| ~ v7_vectsp_1(U_8792)
| ~ v6_vectsp_1(U_8792)
| ~ v4_group_1(U_8792)
| ~ v6_rlvect_1(U_8792)
| ~ v5_rlvect_1(U_8792)
| ~ v4_rlvect_1(U_8792)
| ~ v3_rlvect_1(U_8792)
| v3_struct_0(U_8792) ),
inference(variable_rename,[status(thm)],[f_3424_1]) ).
fof(f_3424_3,plain,
! [U_8792,U_8791] :
( m1_rmod_4(sK1000(U_8792,U_8791),U_8792,U_8791)
| ~ l1_vectsp_2(U_8791,U_8792)
| ~ v5_vectsp_2(U_8791,U_8792)
| ~ v6_rlvect_1(U_8791)
| ~ v5_rlvect_1(U_8791)
| ~ v4_rlvect_1(U_8791)
| ~ v3_rlvect_1(U_8791)
| v3_struct_0(U_8791)
| ~ l3_vectsp_1(U_8792)
| ~ v8_vectsp_1(U_8792)
| ~ v7_vectsp_1(U_8792)
| ~ v6_vectsp_1(U_8792)
| ~ v4_group_1(U_8792)
| ~ v6_rlvect_1(U_8792)
| ~ v5_rlvect_1(U_8792)
| ~ v4_rlvect_1(U_8792)
| ~ v3_rlvect_1(U_8792)
| v3_struct_0(U_8792) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1000]),skolemize(U_8790,sK1000(U_8792,U_8791))],[f_3424_2]) ).
fof(f_3424_4,plain,
! [U_8791,U_8792] :
( m1_rmod_4(sK1000(U_8792,U_8791),U_8792,U_8791)
| ~ l1_vectsp_2(U_8791,U_8792)
| ~ v5_vectsp_2(U_8791,U_8792)
| ~ v6_rlvect_1(U_8791)
| ~ v5_rlvect_1(U_8791)
| ~ v4_rlvect_1(U_8791)
| ~ v3_rlvect_1(U_8791)
| v3_struct_0(U_8791)
| ~ l3_vectsp_1(U_8792)
| ~ v8_vectsp_1(U_8792)
| ~ v7_vectsp_1(U_8792)
| ~ v6_vectsp_1(U_8792)
| ~ v4_group_1(U_8792)
| ~ v6_rlvect_1(U_8792)
| ~ v5_rlvect_1(U_8792)
| ~ v4_rlvect_1(U_8792)
| ~ v3_rlvect_1(U_8792)
| v3_struct_0(U_8792) ),
inference(definitional_conversion,[status(esa)],[f_3424_3]) ).
cnf(f_3424_5,plain,
( m1_rmod_4(sK1000(U_8792,U_8791),U_8792,U_8791)
| ~ l1_vectsp_2(U_8791,U_8792)
| ~ v5_vectsp_2(U_8791,U_8792)
| ~ v6_rlvect_1(U_8791)
| ~ v5_rlvect_1(U_8791)
| ~ v4_rlvect_1(U_8791)
| ~ v3_rlvect_1(U_8791)
| v3_struct_0(U_8791)
| ~ l3_vectsp_1(U_8792)
| ~ v8_vectsp_1(U_8792)
| ~ v7_vectsp_1(U_8792)
| ~ v6_vectsp_1(U_8792)
| ~ v4_group_1(U_8792)
| ~ v6_rlvect_1(U_8792)
| ~ v5_rlvect_1(U_8792)
| ~ v4_rlvect_1(U_8792)
| ~ v3_rlvect_1(U_8792)
| v3_struct_0(U_8792) ),
inference(clausify,[status(thm)],[f_3424_4]) ).
fof(f_3425_1,plain,
! [A,B,C] :
( ! [D] :
( m1_rmod_4(D,A,B)
| ~ m2_rmod_4(D,A,B,C) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_rmod_4]) ).
fof(f_3425_2,plain,
! [U_8796,U_8795,U_8794] :
( ! [U_8793] :
( m1_rmod_4(U_8793,U_8796,U_8795)
| ~ m2_rmod_4(U_8793,U_8796,U_8795,U_8794) )
| ~ m1_subset_1(U_8794,k1_zfmisc_1(u1_struct_0(U_8795)))
| ~ l1_vectsp_2(U_8795,U_8796)
| ~ v5_vectsp_2(U_8795,U_8796)
| ~ v6_rlvect_1(U_8795)
| ~ v5_rlvect_1(U_8795)
| ~ v4_rlvect_1(U_8795)
| ~ v3_rlvect_1(U_8795)
| v3_struct_0(U_8795)
| ~ l3_vectsp_1(U_8796)
| ~ v8_vectsp_1(U_8796)
| ~ v7_vectsp_1(U_8796)
| ~ v6_vectsp_1(U_8796)
| ~ v4_group_1(U_8796)
| ~ v6_rlvect_1(U_8796)
| ~ v5_rlvect_1(U_8796)
| ~ v4_rlvect_1(U_8796)
| ~ v3_rlvect_1(U_8796)
| v3_struct_0(U_8796) ),
inference(variable_rename,[status(thm)],[f_3425_1]) ).
fof(f_3425_3,plain,
! [U_8794,U_8796,U_8795,U_8793] :
( m1_rmod_4(U_8793,U_8796,U_8795)
| ~ m2_rmod_4(U_8793,U_8796,U_8795,U_8794)
| ~ m1_subset_1(U_8794,k1_zfmisc_1(u1_struct_0(U_8795)))
| ~ l1_vectsp_2(U_8795,U_8796)
| ~ v5_vectsp_2(U_8795,U_8796)
| ~ v6_rlvect_1(U_8795)
| ~ v5_rlvect_1(U_8795)
| ~ v4_rlvect_1(U_8795)
| ~ v3_rlvect_1(U_8795)
| v3_struct_0(U_8795)
| ~ l3_vectsp_1(U_8796)
| ~ v8_vectsp_1(U_8796)
| ~ v7_vectsp_1(U_8796)
| ~ v6_vectsp_1(U_8796)
| ~ v4_group_1(U_8796)
| ~ v6_rlvect_1(U_8796)
| ~ v5_rlvect_1(U_8796)
| ~ v4_rlvect_1(U_8796)
| ~ v3_rlvect_1(U_8796)
| v3_struct_0(U_8796) ),
inference(definitional_conversion,[status(esa)],[f_3425_2]) ).
cnf(f_3425_4,plain,
( m1_rmod_4(U_8793,U_8796,U_8795)
| ~ m2_rmod_4(U_8793,U_8796,U_8795,U_8794)
| ~ m1_subset_1(U_8794,k1_zfmisc_1(u1_struct_0(U_8795)))
| ~ l1_vectsp_2(U_8795,U_8796)
| ~ v5_vectsp_2(U_8795,U_8796)
| ~ v6_rlvect_1(U_8795)
| ~ v5_rlvect_1(U_8795)
| ~ v4_rlvect_1(U_8795)
| ~ v3_rlvect_1(U_8795)
| v3_struct_0(U_8795)
| ~ l3_vectsp_1(U_8796)
| ~ v8_vectsp_1(U_8796)
| ~ v7_vectsp_1(U_8796)
| ~ v6_vectsp_1(U_8796)
| ~ v4_group_1(U_8796)
| ~ v6_rlvect_1(U_8796)
| ~ v5_rlvect_1(U_8796)
| ~ v4_rlvect_1(U_8796)
| ~ v3_rlvect_1(U_8796)
| v3_struct_0(U_8796) ),
inference(clausify,[status(thm)],[f_3425_3]) ).
fof(f_3426_1,plain,
! [A,B,C] :
( ? [D] : m2_rmod_4(D,A,B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_rmod_4]) ).
fof(f_3426_2,plain,
! [U_8800,U_8799,U_8798] :
( ? [U_8797] : m2_rmod_4(U_8797,U_8800,U_8799,U_8798)
| ~ m1_subset_1(U_8798,k1_zfmisc_1(u1_struct_0(U_8799)))
| ~ l1_vectsp_2(U_8799,U_8800)
| ~ v5_vectsp_2(U_8799,U_8800)
| ~ v6_rlvect_1(U_8799)
| ~ v5_rlvect_1(U_8799)
| ~ v4_rlvect_1(U_8799)
| ~ v3_rlvect_1(U_8799)
| v3_struct_0(U_8799)
| ~ l3_vectsp_1(U_8800)
| ~ v8_vectsp_1(U_8800)
| ~ v7_vectsp_1(U_8800)
| ~ v6_vectsp_1(U_8800)
| ~ v4_group_1(U_8800)
| ~ v6_rlvect_1(U_8800)
| ~ v5_rlvect_1(U_8800)
| ~ v4_rlvect_1(U_8800)
| ~ v3_rlvect_1(U_8800)
| v3_struct_0(U_8800) ),
inference(variable_rename,[status(thm)],[f_3426_1]) ).
fof(f_3426_3,plain,
! [U_8800,U_8799,U_8798] :
( m2_rmod_4(sK1001(U_8800,U_8799,U_8798),U_8800,U_8799,U_8798)
| ~ m1_subset_1(U_8798,k1_zfmisc_1(u1_struct_0(U_8799)))
| ~ l1_vectsp_2(U_8799,U_8800)
| ~ v5_vectsp_2(U_8799,U_8800)
| ~ v6_rlvect_1(U_8799)
| ~ v5_rlvect_1(U_8799)
| ~ v4_rlvect_1(U_8799)
| ~ v3_rlvect_1(U_8799)
| v3_struct_0(U_8799)
| ~ l3_vectsp_1(U_8800)
| ~ v8_vectsp_1(U_8800)
| ~ v7_vectsp_1(U_8800)
| ~ v6_vectsp_1(U_8800)
| ~ v4_group_1(U_8800)
| ~ v6_rlvect_1(U_8800)
| ~ v5_rlvect_1(U_8800)
| ~ v4_rlvect_1(U_8800)
| ~ v3_rlvect_1(U_8800)
| v3_struct_0(U_8800) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1001]),skolemize(U_8797,sK1001(U_8800,U_8799,U_8798))],[f_3426_2]) ).
fof(f_3426_4,plain,
! [U_8798,U_8799,U_8800] :
( m2_rmod_4(sK1001(U_8800,U_8799,U_8798),U_8800,U_8799,U_8798)
| ~ m1_subset_1(U_8798,k1_zfmisc_1(u1_struct_0(U_8799)))
| ~ l1_vectsp_2(U_8799,U_8800)
| ~ v5_vectsp_2(U_8799,U_8800)
| ~ v6_rlvect_1(U_8799)
| ~ v5_rlvect_1(U_8799)
| ~ v4_rlvect_1(U_8799)
| ~ v3_rlvect_1(U_8799)
| v3_struct_0(U_8799)
| ~ l3_vectsp_1(U_8800)
| ~ v8_vectsp_1(U_8800)
| ~ v7_vectsp_1(U_8800)
| ~ v6_vectsp_1(U_8800)
| ~ v4_group_1(U_8800)
| ~ v6_rlvect_1(U_8800)
| ~ v5_rlvect_1(U_8800)
| ~ v4_rlvect_1(U_8800)
| ~ v3_rlvect_1(U_8800)
| v3_struct_0(U_8800) ),
inference(definitional_conversion,[status(esa)],[f_3426_3]) ).
cnf(f_3426_5,plain,
( m2_rmod_4(sK1001(U_8800,U_8799,U_8798),U_8800,U_8799,U_8798)
| ~ m1_subset_1(U_8798,k1_zfmisc_1(u1_struct_0(U_8799)))
| ~ l1_vectsp_2(U_8799,U_8800)
| ~ v5_vectsp_2(U_8799,U_8800)
| ~ v6_rlvect_1(U_8799)
| ~ v5_rlvect_1(U_8799)
| ~ v4_rlvect_1(U_8799)
| ~ v3_rlvect_1(U_8799)
| v3_struct_0(U_8799)
| ~ l3_vectsp_1(U_8800)
| ~ v8_vectsp_1(U_8800)
| ~ v7_vectsp_1(U_8800)
| ~ v6_vectsp_1(U_8800)
| ~ v4_group_1(U_8800)
| ~ v6_rlvect_1(U_8800)
| ~ v5_rlvect_1(U_8800)
| ~ v4_rlvect_1(U_8800)
| ~ v3_rlvect_1(U_8800)
| v3_struct_0(U_8800) ),
inference(clausify,[status(thm)],[f_3426_4]) ).
fof(f_3427_1,plain,
! [A,B,C,D] :
( r1_rmod_4(A,B,D,C)
| ~ r1_rmod_4(A,B,C,D)
| ~ m1_rmod_4(D,A,B)
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r1_rmod_4]) ).
fof(f_3427_2,plain,
! [U_8804,U_8803,U_8802,U_8801] :
( r1_rmod_4(U_8804,U_8803,U_8801,U_8802)
| ~ r1_rmod_4(U_8804,U_8803,U_8802,U_8801)
| ~ m1_rmod_4(U_8801,U_8804,U_8803)
| ~ m1_rmod_4(U_8802,U_8804,U_8803)
| ~ l1_vectsp_2(U_8803,U_8804)
| ~ v5_vectsp_2(U_8803,U_8804)
| ~ v6_rlvect_1(U_8803)
| ~ v5_rlvect_1(U_8803)
| ~ v4_rlvect_1(U_8803)
| ~ v3_rlvect_1(U_8803)
| v3_struct_0(U_8803)
| ~ l3_vectsp_1(U_8804)
| ~ v8_vectsp_1(U_8804)
| ~ v7_vectsp_1(U_8804)
| ~ v6_vectsp_1(U_8804)
| ~ v4_group_1(U_8804)
| ~ v6_rlvect_1(U_8804)
| ~ v5_rlvect_1(U_8804)
| ~ v4_rlvect_1(U_8804)
| ~ v3_rlvect_1(U_8804)
| v3_struct_0(U_8804) ),
inference(variable_rename,[status(thm)],[f_3427_1]) ).
fof(f_3427_3,plain,
! [U_8804,U_8801,U_8803,U_8802] :
( r1_rmod_4(U_8804,U_8803,U_8801,U_8802)
| ~ r1_rmod_4(U_8804,U_8803,U_8802,U_8801)
| ~ m1_rmod_4(U_8801,U_8804,U_8803)
| ~ m1_rmod_4(U_8802,U_8804,U_8803)
| ~ l1_vectsp_2(U_8803,U_8804)
| ~ v5_vectsp_2(U_8803,U_8804)
| ~ v6_rlvect_1(U_8803)
| ~ v5_rlvect_1(U_8803)
| ~ v4_rlvect_1(U_8803)
| ~ v3_rlvect_1(U_8803)
| v3_struct_0(U_8803)
| ~ l3_vectsp_1(U_8804)
| ~ v8_vectsp_1(U_8804)
| ~ v7_vectsp_1(U_8804)
| ~ v6_vectsp_1(U_8804)
| ~ v4_group_1(U_8804)
| ~ v6_rlvect_1(U_8804)
| ~ v5_rlvect_1(U_8804)
| ~ v4_rlvect_1(U_8804)
| ~ v3_rlvect_1(U_8804)
| v3_struct_0(U_8804) ),
inference(definitional_conversion,[status(esa)],[f_3427_2]) ).
cnf(f_3427_4,plain,
( r1_rmod_4(U_8804,U_8803,U_8801,U_8802)
| ~ r1_rmod_4(U_8804,U_8803,U_8802,U_8801)
| ~ m1_rmod_4(U_8801,U_8804,U_8803)
| ~ m1_rmod_4(U_8802,U_8804,U_8803)
| ~ l1_vectsp_2(U_8803,U_8804)
| ~ v5_vectsp_2(U_8803,U_8804)
| ~ v6_rlvect_1(U_8803)
| ~ v5_rlvect_1(U_8803)
| ~ v4_rlvect_1(U_8803)
| ~ v3_rlvect_1(U_8803)
| v3_struct_0(U_8803)
| ~ l3_vectsp_1(U_8804)
| ~ v8_vectsp_1(U_8804)
| ~ v7_vectsp_1(U_8804)
| ~ v6_vectsp_1(U_8804)
| ~ v4_group_1(U_8804)
| ~ v6_rlvect_1(U_8804)
| ~ v5_rlvect_1(U_8804)
| ~ v4_rlvect_1(U_8804)
| ~ v3_rlvect_1(U_8804)
| v3_struct_0(U_8804) ),
inference(clausify,[status(thm)],[f_3427_3]) ).
fof(f_3428_1,plain,
! [A,B,C,D] :
( r1_rmod_4(A,B,C,C)
| ~ m1_rmod_4(D,A,B)
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r1_rmod_4]) ).
fof(f_3428_2,plain,
! [U_8808,U_8807,U_8806,U_8805] :
( r1_rmod_4(U_8808,U_8807,U_8806,U_8806)
| ~ m1_rmod_4(U_8805,U_8808,U_8807)
| ~ m1_rmod_4(U_8806,U_8808,U_8807)
| ~ l1_vectsp_2(U_8807,U_8808)
| ~ v5_vectsp_2(U_8807,U_8808)
| ~ v6_rlvect_1(U_8807)
| ~ v5_rlvect_1(U_8807)
| ~ v4_rlvect_1(U_8807)
| ~ v3_rlvect_1(U_8807)
| v3_struct_0(U_8807)
| ~ l3_vectsp_1(U_8808)
| ~ v8_vectsp_1(U_8808)
| ~ v7_vectsp_1(U_8808)
| ~ v6_vectsp_1(U_8808)
| ~ v4_group_1(U_8808)
| ~ v6_rlvect_1(U_8808)
| ~ v5_rlvect_1(U_8808)
| ~ v4_rlvect_1(U_8808)
| ~ v3_rlvect_1(U_8808)
| v3_struct_0(U_8808) ),
inference(variable_rename,[status(thm)],[f_3428_1]) ).
fof(f_3428_3,plain,
! [U_8808,U_8807,U_8806] :
( ! [U_8805] : ~ m1_rmod_4(U_8805,U_8808,U_8807)
| ~ m1_rmod_4(U_8806,U_8808,U_8807)
| ~ l1_vectsp_2(U_8807,U_8808)
| ~ v5_vectsp_2(U_8807,U_8808)
| ~ v6_rlvect_1(U_8807)
| ~ v5_rlvect_1(U_8807)
| ~ v4_rlvect_1(U_8807)
| ~ v3_rlvect_1(U_8807)
| v3_struct_0(U_8807)
| ~ l3_vectsp_1(U_8808)
| ~ v8_vectsp_1(U_8808)
| ~ v7_vectsp_1(U_8808)
| ~ v6_vectsp_1(U_8808)
| ~ v4_group_1(U_8808)
| ~ v6_rlvect_1(U_8808)
| ~ v5_rlvect_1(U_8808)
| ~ v4_rlvect_1(U_8808)
| ~ v3_rlvect_1(U_8808)
| v3_struct_0(U_8808)
| r1_rmod_4(U_8808,U_8807,U_8806,U_8806) ),
inference(miniscope,[status(thm)],[f_3428_2]) ).
fof(f_3428_4,plain,
! [U_8806,U_8805,U_8807,U_8808] :
( ~ m1_rmod_4(U_8805,U_8808,U_8807)
| ~ m1_rmod_4(U_8806,U_8808,U_8807)
| ~ l1_vectsp_2(U_8807,U_8808)
| ~ v5_vectsp_2(U_8807,U_8808)
| ~ v6_rlvect_1(U_8807)
| ~ v5_rlvect_1(U_8807)
| ~ v4_rlvect_1(U_8807)
| ~ v3_rlvect_1(U_8807)
| v3_struct_0(U_8807)
| ~ l3_vectsp_1(U_8808)
| ~ v8_vectsp_1(U_8808)
| ~ v7_vectsp_1(U_8808)
| ~ v6_vectsp_1(U_8808)
| ~ v4_group_1(U_8808)
| ~ v6_rlvect_1(U_8808)
| ~ v5_rlvect_1(U_8808)
| ~ v4_rlvect_1(U_8808)
| ~ v3_rlvect_1(U_8808)
| v3_struct_0(U_8808)
| r1_rmod_4(U_8808,U_8807,U_8806,U_8806) ),
inference(definitional_conversion,[status(esa)],[f_3428_3]) ).
cnf(f_3428_5,plain,
( ~ m1_rmod_4(U_8805,U_8808,U_8807)
| ~ m1_rmod_4(U_8806,U_8808,U_8807)
| ~ l1_vectsp_2(U_8807,U_8808)
| ~ v5_vectsp_2(U_8807,U_8808)
| ~ v6_rlvect_1(U_8807)
| ~ v5_rlvect_1(U_8807)
| ~ v4_rlvect_1(U_8807)
| ~ v3_rlvect_1(U_8807)
| v3_struct_0(U_8807)
| ~ l3_vectsp_1(U_8808)
| ~ v8_vectsp_1(U_8808)
| ~ v7_vectsp_1(U_8808)
| ~ v6_vectsp_1(U_8808)
| ~ v4_group_1(U_8808)
| ~ v6_rlvect_1(U_8808)
| ~ v5_rlvect_1(U_8808)
| ~ v4_rlvect_1(U_8808)
| ~ v3_rlvect_1(U_8808)
| v3_struct_0(U_8808)
| r1_rmod_4(U_8808,U_8807,U_8806,U_8806) ),
inference(clausify,[status(thm)],[f_3428_4]) ).
fof(f_3429_1,plain,
! [A,B,C,D] :
( ( ( r1_rmod_4(A,B,C,D)
| C != D )
& ( C = D
| ~ r1_rmod_4(A,B,C,D) ) )
| ~ m1_rmod_4(D,A,B)
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_r1_rmod_4]) ).
fof(f_3429_2,plain,
! [U_8812,U_8811,U_8810,U_8809] :
( ( ( r1_rmod_4(U_8812,U_8811,U_8810,U_8809)
| U_8810 != U_8809 )
& ( U_8810 = U_8809
| ~ r1_rmod_4(U_8812,U_8811,U_8810,U_8809) ) )
| ~ m1_rmod_4(U_8809,U_8812,U_8811)
| ~ m1_rmod_4(U_8810,U_8812,U_8811)
| ~ l1_vectsp_2(U_8811,U_8812)
| ~ v5_vectsp_2(U_8811,U_8812)
| ~ v6_rlvect_1(U_8811)
| ~ v5_rlvect_1(U_8811)
| ~ v4_rlvect_1(U_8811)
| ~ v3_rlvect_1(U_8811)
| v3_struct_0(U_8811)
| ~ l3_vectsp_1(U_8812)
| ~ v8_vectsp_1(U_8812)
| ~ v7_vectsp_1(U_8812)
| ~ v6_vectsp_1(U_8812)
| ~ v4_group_1(U_8812)
| ~ v6_rlvect_1(U_8812)
| ~ v5_rlvect_1(U_8812)
| ~ v4_rlvect_1(U_8812)
| ~ v3_rlvect_1(U_8812)
| v3_struct_0(U_8812) ),
inference(variable_rename,[status(thm)],[f_3429_1]) ).
fof(f_3429_3,plain,
( ! [U_8809,U_8811,U_8810,U_8812] :
( r1_rmod_4(U_8812,U_8811,U_8810,U_8809)
| U_8810 != U_8809
| ~ sP1529(U_8809,U_8811,U_8810,U_8812) )
& ! [U_8809,U_8811,U_8810,U_8812] :
( U_8810 = U_8809
| ~ r1_rmod_4(U_8812,U_8811,U_8810,U_8809)
| ~ sP1529(U_8809,U_8811,U_8810,U_8812) )
& ! [U_8809,U_8811,U_8810,U_8812] :
( sP1529(U_8809,U_8811,U_8810,U_8812)
| ~ m1_rmod_4(U_8809,U_8812,U_8811)
| ~ m1_rmod_4(U_8810,U_8812,U_8811)
| ~ l1_vectsp_2(U_8811,U_8812)
| ~ v5_vectsp_2(U_8811,U_8812)
| ~ v6_rlvect_1(U_8811)
| ~ v5_rlvect_1(U_8811)
| ~ v4_rlvect_1(U_8811)
| ~ v3_rlvect_1(U_8811)
| v3_struct_0(U_8811)
| ~ l3_vectsp_1(U_8812)
| ~ v8_vectsp_1(U_8812)
| ~ v7_vectsp_1(U_8812)
| ~ v6_vectsp_1(U_8812)
| ~ v4_group_1(U_8812)
| ~ v6_rlvect_1(U_8812)
| ~ v5_rlvect_1(U_8812)
| ~ v4_rlvect_1(U_8812)
| ~ v3_rlvect_1(U_8812)
| v3_struct_0(U_8812) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1529])],[f_3429_2]) ).
cnf(f_3429_4,plain,
( sP1529(U_8809,U_8811,U_8810,U_8812)
| ~ m1_rmod_4(U_8809,U_8812,U_8811)
| ~ m1_rmod_4(U_8810,U_8812,U_8811)
| ~ l1_vectsp_2(U_8811,U_8812)
| ~ v5_vectsp_2(U_8811,U_8812)
| ~ v6_rlvect_1(U_8811)
| ~ v5_rlvect_1(U_8811)
| ~ v4_rlvect_1(U_8811)
| ~ v3_rlvect_1(U_8811)
| v3_struct_0(U_8811)
| ~ l3_vectsp_1(U_8812)
| ~ v8_vectsp_1(U_8812)
| ~ v7_vectsp_1(U_8812)
| ~ v6_vectsp_1(U_8812)
| ~ v4_group_1(U_8812)
| ~ v6_rlvect_1(U_8812)
| ~ v5_rlvect_1(U_8812)
| ~ v4_rlvect_1(U_8812)
| ~ v3_rlvect_1(U_8812)
| v3_struct_0(U_8812) ),
inference(clausify,[status(thm)],[f_3429_3]) ).
cnf(f_3429_5,plain,
( U_8810 = U_8809
| ~ r1_rmod_4(U_8812,U_8811,U_8810,U_8809)
| ~ sP1529(U_8809,U_8811,U_8810,U_8812) ),
inference(clausify,[status(thm)],[f_3429_3]) ).
cnf(f_3429_6,plain,
( r1_rmod_4(U_8812,U_8811,U_8810,U_8809)
| U_8810 != U_8809
| ~ sP1529(U_8809,U_8811,U_8810,U_8812) ),
inference(clausify,[status(thm)],[f_3429_3]) ).
fof(f_3430_1,plain,
! [A,B,C] :
( m1_subset_1(k1_rmod_4(A,B,C),u1_struct_0(B))
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ v1_finset_1(C)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rmod_4]) ).
fof(f_3430_2,plain,
! [U_8815,U_8814,U_8813] :
( m1_subset_1(k1_rmod_4(U_8815,U_8814,U_8813),u1_struct_0(U_8814))
| ~ m1_subset_1(U_8813,k1_zfmisc_1(u1_struct_0(U_8814)))
| ~ v1_finset_1(U_8813)
| ~ l1_vectsp_2(U_8814,U_8815)
| ~ v5_vectsp_2(U_8814,U_8815)
| ~ v6_rlvect_1(U_8814)
| ~ v5_rlvect_1(U_8814)
| ~ v4_rlvect_1(U_8814)
| ~ v3_rlvect_1(U_8814)
| v3_struct_0(U_8814)
| ~ l3_vectsp_1(U_8815)
| ~ v8_vectsp_1(U_8815)
| ~ v7_vectsp_1(U_8815)
| ~ v6_vectsp_1(U_8815)
| ~ v4_group_1(U_8815)
| ~ v6_rlvect_1(U_8815)
| ~ v5_rlvect_1(U_8815)
| ~ v4_rlvect_1(U_8815)
| ~ v3_rlvect_1(U_8815)
| v3_struct_0(U_8815) ),
inference(variable_rename,[status(thm)],[f_3430_1]) ).
fof(f_3430_3,plain,
! [U_8813,U_8815,U_8814] :
( m1_subset_1(k1_rmod_4(U_8815,U_8814,U_8813),u1_struct_0(U_8814))
| ~ m1_subset_1(U_8813,k1_zfmisc_1(u1_struct_0(U_8814)))
| ~ v1_finset_1(U_8813)
| ~ l1_vectsp_2(U_8814,U_8815)
| ~ v5_vectsp_2(U_8814,U_8815)
| ~ v6_rlvect_1(U_8814)
| ~ v5_rlvect_1(U_8814)
| ~ v4_rlvect_1(U_8814)
| ~ v3_rlvect_1(U_8814)
| v3_struct_0(U_8814)
| ~ l3_vectsp_1(U_8815)
| ~ v8_vectsp_1(U_8815)
| ~ v7_vectsp_1(U_8815)
| ~ v6_vectsp_1(U_8815)
| ~ v4_group_1(U_8815)
| ~ v6_rlvect_1(U_8815)
| ~ v5_rlvect_1(U_8815)
| ~ v4_rlvect_1(U_8815)
| ~ v3_rlvect_1(U_8815)
| v3_struct_0(U_8815) ),
inference(definitional_conversion,[status(esa)],[f_3430_2]) ).
cnf(f_3430_4,plain,
( m1_subset_1(k1_rmod_4(U_8815,U_8814,U_8813),u1_struct_0(U_8814))
| ~ m1_subset_1(U_8813,k1_zfmisc_1(u1_struct_0(U_8814)))
| ~ v1_finset_1(U_8813)
| ~ l1_vectsp_2(U_8814,U_8815)
| ~ v5_vectsp_2(U_8814,U_8815)
| ~ v6_rlvect_1(U_8814)
| ~ v5_rlvect_1(U_8814)
| ~ v4_rlvect_1(U_8814)
| ~ v3_rlvect_1(U_8814)
| v3_struct_0(U_8814)
| ~ l3_vectsp_1(U_8815)
| ~ v8_vectsp_1(U_8815)
| ~ v7_vectsp_1(U_8815)
| ~ v6_vectsp_1(U_8815)
| ~ v4_group_1(U_8815)
| ~ v6_rlvect_1(U_8815)
| ~ v5_rlvect_1(U_8815)
| ~ v4_rlvect_1(U_8815)
| ~ v3_rlvect_1(U_8815)
| v3_struct_0(U_8815) ),
inference(clausify,[status(thm)],[f_3430_3]) ).
fof(f_3431_1,plain,
! [A,B,C] :
( ( m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B)))
& v1_finset_1(k2_rmod_4(A,B,C)) )
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_rmod_4]) ).
fof(f_3431_2,plain,
! [U_8818,U_8817,U_8816] :
( ( m1_subset_1(k2_rmod_4(U_8818,U_8817,U_8816),k1_zfmisc_1(u1_struct_0(U_8817)))
& v1_finset_1(k2_rmod_4(U_8818,U_8817,U_8816)) )
| ~ m1_rmod_4(U_8816,U_8818,U_8817)
| ~ l1_vectsp_2(U_8817,U_8818)
| ~ v5_vectsp_2(U_8817,U_8818)
| ~ v6_rlvect_1(U_8817)
| ~ v5_rlvect_1(U_8817)
| ~ v4_rlvect_1(U_8817)
| ~ v3_rlvect_1(U_8817)
| v3_struct_0(U_8817)
| ~ l3_vectsp_1(U_8818)
| ~ v8_vectsp_1(U_8818)
| ~ v7_vectsp_1(U_8818)
| ~ v6_vectsp_1(U_8818)
| ~ v4_group_1(U_8818)
| ~ v6_rlvect_1(U_8818)
| ~ v5_rlvect_1(U_8818)
| ~ v4_rlvect_1(U_8818)
| ~ v3_rlvect_1(U_8818)
| v3_struct_0(U_8818) ),
inference(variable_rename,[status(thm)],[f_3431_1]) ).
fof(f_3431_3,plain,
( ! [U_8816,U_8817,U_8818] :
( m1_subset_1(k2_rmod_4(U_8818,U_8817,U_8816),k1_zfmisc_1(u1_struct_0(U_8817)))
| ~ sP1530(U_8816,U_8817,U_8818) )
& ! [U_8816,U_8817,U_8818] :
( v1_finset_1(k2_rmod_4(U_8818,U_8817,U_8816))
| ~ sP1530(U_8816,U_8817,U_8818) )
& ! [U_8816,U_8817,U_8818] :
( sP1530(U_8816,U_8817,U_8818)
| ~ m1_rmod_4(U_8816,U_8818,U_8817)
| ~ l1_vectsp_2(U_8817,U_8818)
| ~ v5_vectsp_2(U_8817,U_8818)
| ~ v6_rlvect_1(U_8817)
| ~ v5_rlvect_1(U_8817)
| ~ v4_rlvect_1(U_8817)
| ~ v3_rlvect_1(U_8817)
| v3_struct_0(U_8817)
| ~ l3_vectsp_1(U_8818)
| ~ v8_vectsp_1(U_8818)
| ~ v7_vectsp_1(U_8818)
| ~ v6_vectsp_1(U_8818)
| ~ v4_group_1(U_8818)
| ~ v6_rlvect_1(U_8818)
| ~ v5_rlvect_1(U_8818)
| ~ v4_rlvect_1(U_8818)
| ~ v3_rlvect_1(U_8818)
| v3_struct_0(U_8818) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1530])],[f_3431_2]) ).
cnf(f_3431_4,plain,
( sP1530(U_8816,U_8817,U_8818)
| ~ m1_rmod_4(U_8816,U_8818,U_8817)
| ~ l1_vectsp_2(U_8817,U_8818)
| ~ v5_vectsp_2(U_8817,U_8818)
| ~ v6_rlvect_1(U_8817)
| ~ v5_rlvect_1(U_8817)
| ~ v4_rlvect_1(U_8817)
| ~ v3_rlvect_1(U_8817)
| v3_struct_0(U_8817)
| ~ l3_vectsp_1(U_8818)
| ~ v8_vectsp_1(U_8818)
| ~ v7_vectsp_1(U_8818)
| ~ v6_vectsp_1(U_8818)
| ~ v4_group_1(U_8818)
| ~ v6_rlvect_1(U_8818)
| ~ v5_rlvect_1(U_8818)
| ~ v4_rlvect_1(U_8818)
| ~ v3_rlvect_1(U_8818)
| v3_struct_0(U_8818) ),
inference(clausify,[status(thm)],[f_3431_3]) ).
cnf(f_3431_5,plain,
( v1_finset_1(k2_rmod_4(U_8818,U_8817,U_8816))
| ~ sP1530(U_8816,U_8817,U_8818) ),
inference(clausify,[status(thm)],[f_3431_3]) ).
cnf(f_3431_6,plain,
( m1_subset_1(k2_rmod_4(U_8818,U_8817,U_8816),k1_zfmisc_1(u1_struct_0(U_8817)))
| ~ sP1530(U_8816,U_8817,U_8818) ),
inference(clausify,[status(thm)],[f_3431_3]) ).
fof(f_3432_1,plain,
! [A,B] :
( m1_rmod_4(k3_rmod_4(A,B),A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_rmod_4]) ).
fof(f_3432_2,plain,
! [U_8820,U_8819] :
( m1_rmod_4(k3_rmod_4(U_8820,U_8819),U_8820,U_8819)
| ~ l1_vectsp_2(U_8819,U_8820)
| ~ v5_vectsp_2(U_8819,U_8820)
| ~ v6_rlvect_1(U_8819)
| ~ v5_rlvect_1(U_8819)
| ~ v4_rlvect_1(U_8819)
| ~ v3_rlvect_1(U_8819)
| v3_struct_0(U_8819)
| ~ l3_vectsp_1(U_8820)
| ~ v8_vectsp_1(U_8820)
| ~ v7_vectsp_1(U_8820)
| ~ v6_vectsp_1(U_8820)
| ~ v4_group_1(U_8820)
| ~ v6_rlvect_1(U_8820)
| ~ v5_rlvect_1(U_8820)
| ~ v4_rlvect_1(U_8820)
| ~ v3_rlvect_1(U_8820)
| v3_struct_0(U_8820) ),
inference(variable_rename,[status(thm)],[f_3432_1]) ).
fof(f_3432_3,plain,
! [U_8820,U_8819] :
( m1_rmod_4(k3_rmod_4(U_8820,U_8819),U_8820,U_8819)
| ~ l1_vectsp_2(U_8819,U_8820)
| ~ v5_vectsp_2(U_8819,U_8820)
| ~ v6_rlvect_1(U_8819)
| ~ v5_rlvect_1(U_8819)
| ~ v4_rlvect_1(U_8819)
| ~ v3_rlvect_1(U_8819)
| v3_struct_0(U_8819)
| ~ l3_vectsp_1(U_8820)
| ~ v8_vectsp_1(U_8820)
| ~ v7_vectsp_1(U_8820)
| ~ v6_vectsp_1(U_8820)
| ~ v4_group_1(U_8820)
| ~ v6_rlvect_1(U_8820)
| ~ v5_rlvect_1(U_8820)
| ~ v4_rlvect_1(U_8820)
| ~ v3_rlvect_1(U_8820)
| v3_struct_0(U_8820) ),
inference(definitional_conversion,[status(esa)],[f_3432_2]) ).
cnf(f_3432_4,plain,
( m1_rmod_4(k3_rmod_4(U_8820,U_8819),U_8820,U_8819)
| ~ l1_vectsp_2(U_8819,U_8820)
| ~ v5_vectsp_2(U_8819,U_8820)
| ~ v6_rlvect_1(U_8819)
| ~ v5_rlvect_1(U_8819)
| ~ v4_rlvect_1(U_8819)
| ~ v3_rlvect_1(U_8819)
| v3_struct_0(U_8819)
| ~ l3_vectsp_1(U_8820)
| ~ v8_vectsp_1(U_8820)
| ~ v7_vectsp_1(U_8820)
| ~ v6_vectsp_1(U_8820)
| ~ v4_group_1(U_8820)
| ~ v6_rlvect_1(U_8820)
| ~ v5_rlvect_1(U_8820)
| ~ v4_rlvect_1(U_8820)
| ~ v3_rlvect_1(U_8820)
| v3_struct_0(U_8820) ),
inference(clausify,[status(thm)],[f_3432_3]) ).
fof(f_3433_1,plain,
! [A,B,C,D] :
( m2_finseq_1(k4_rmod_4(A,B,C,D),u1_struct_0(B))
| ~ m1_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D)
| ~ m1_finseq_1(C,u1_struct_0(B))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_rmod_4]) ).
fof(f_3433_2,plain,
! [U_8824,U_8823,U_8822,U_8821] :
( m2_finseq_1(k4_rmod_4(U_8824,U_8823,U_8822,U_8821),u1_struct_0(U_8823))
| ~ m1_relset_1(U_8821,u1_struct_0(U_8823),u1_struct_0(U_8824))
| ~ v1_funct_2(U_8821,u1_struct_0(U_8823),u1_struct_0(U_8824))
| ~ v1_funct_1(U_8821)
| ~ m1_finseq_1(U_8822,u1_struct_0(U_8823))
| ~ l1_vectsp_2(U_8823,U_8824)
| ~ v5_vectsp_2(U_8823,U_8824)
| ~ v6_rlvect_1(U_8823)
| ~ v5_rlvect_1(U_8823)
| ~ v4_rlvect_1(U_8823)
| ~ v3_rlvect_1(U_8823)
| v3_struct_0(U_8823)
| ~ l3_vectsp_1(U_8824)
| ~ v8_vectsp_1(U_8824)
| ~ v7_vectsp_1(U_8824)
| ~ v6_vectsp_1(U_8824)
| ~ v4_group_1(U_8824)
| ~ v6_rlvect_1(U_8824)
| ~ v5_rlvect_1(U_8824)
| ~ v4_rlvect_1(U_8824)
| ~ v3_rlvect_1(U_8824)
| v3_struct_0(U_8824) ),
inference(variable_rename,[status(thm)],[f_3433_1]) ).
fof(f_3433_3,plain,
! [U_8822,U_8821,U_8823,U_8824] :
( m2_finseq_1(k4_rmod_4(U_8824,U_8823,U_8822,U_8821),u1_struct_0(U_8823))
| ~ m1_relset_1(U_8821,u1_struct_0(U_8823),u1_struct_0(U_8824))
| ~ v1_funct_2(U_8821,u1_struct_0(U_8823),u1_struct_0(U_8824))
| ~ v1_funct_1(U_8821)
| ~ m1_finseq_1(U_8822,u1_struct_0(U_8823))
| ~ l1_vectsp_2(U_8823,U_8824)
| ~ v5_vectsp_2(U_8823,U_8824)
| ~ v6_rlvect_1(U_8823)
| ~ v5_rlvect_1(U_8823)
| ~ v4_rlvect_1(U_8823)
| ~ v3_rlvect_1(U_8823)
| v3_struct_0(U_8823)
| ~ l3_vectsp_1(U_8824)
| ~ v8_vectsp_1(U_8824)
| ~ v7_vectsp_1(U_8824)
| ~ v6_vectsp_1(U_8824)
| ~ v4_group_1(U_8824)
| ~ v6_rlvect_1(U_8824)
| ~ v5_rlvect_1(U_8824)
| ~ v4_rlvect_1(U_8824)
| ~ v3_rlvect_1(U_8824)
| v3_struct_0(U_8824) ),
inference(definitional_conversion,[status(esa)],[f_3433_2]) ).
cnf(f_3433_4,plain,
( m2_finseq_1(k4_rmod_4(U_8824,U_8823,U_8822,U_8821),u1_struct_0(U_8823))
| ~ m1_relset_1(U_8821,u1_struct_0(U_8823),u1_struct_0(U_8824))
| ~ v1_funct_2(U_8821,u1_struct_0(U_8823),u1_struct_0(U_8824))
| ~ v1_funct_1(U_8821)
| ~ m1_finseq_1(U_8822,u1_struct_0(U_8823))
| ~ l1_vectsp_2(U_8823,U_8824)
| ~ v5_vectsp_2(U_8823,U_8824)
| ~ v6_rlvect_1(U_8823)
| ~ v5_rlvect_1(U_8823)
| ~ v4_rlvect_1(U_8823)
| ~ v3_rlvect_1(U_8823)
| v3_struct_0(U_8823)
| ~ l3_vectsp_1(U_8824)
| ~ v8_vectsp_1(U_8824)
| ~ v7_vectsp_1(U_8824)
| ~ v6_vectsp_1(U_8824)
| ~ v4_group_1(U_8824)
| ~ v6_rlvect_1(U_8824)
| ~ v5_rlvect_1(U_8824)
| ~ v4_rlvect_1(U_8824)
| ~ v3_rlvect_1(U_8824)
| v3_struct_0(U_8824) ),
inference(clausify,[status(thm)],[f_3433_3]) ).
fof(f_3434_1,plain,
! [A,B,C] :
( m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B))
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_rmod_4]) ).
fof(f_3434_2,plain,
! [U_8827,U_8826,U_8825] :
( m1_subset_1(k5_rmod_4(U_8827,U_8826,U_8825),u1_struct_0(U_8826))
| ~ m1_rmod_4(U_8825,U_8827,U_8826)
| ~ l1_vectsp_2(U_8826,U_8827)
| ~ v5_vectsp_2(U_8826,U_8827)
| ~ v6_rlvect_1(U_8826)
| ~ v5_rlvect_1(U_8826)
| ~ v4_rlvect_1(U_8826)
| ~ v3_rlvect_1(U_8826)
| v3_struct_0(U_8826)
| ~ l3_vectsp_1(U_8827)
| ~ v8_vectsp_1(U_8827)
| ~ v7_vectsp_1(U_8827)
| ~ v6_vectsp_1(U_8827)
| ~ v4_group_1(U_8827)
| ~ v6_rlvect_1(U_8827)
| ~ v5_rlvect_1(U_8827)
| ~ v4_rlvect_1(U_8827)
| ~ v3_rlvect_1(U_8827)
| v3_struct_0(U_8827) ),
inference(variable_rename,[status(thm)],[f_3434_1]) ).
fof(f_3434_3,plain,
! [U_8825,U_8827,U_8826] :
( m1_subset_1(k5_rmod_4(U_8827,U_8826,U_8825),u1_struct_0(U_8826))
| ~ m1_rmod_4(U_8825,U_8827,U_8826)
| ~ l1_vectsp_2(U_8826,U_8827)
| ~ v5_vectsp_2(U_8826,U_8827)
| ~ v6_rlvect_1(U_8826)
| ~ v5_rlvect_1(U_8826)
| ~ v4_rlvect_1(U_8826)
| ~ v3_rlvect_1(U_8826)
| v3_struct_0(U_8826)
| ~ l3_vectsp_1(U_8827)
| ~ v8_vectsp_1(U_8827)
| ~ v7_vectsp_1(U_8827)
| ~ v6_vectsp_1(U_8827)
| ~ v4_group_1(U_8827)
| ~ v6_rlvect_1(U_8827)
| ~ v5_rlvect_1(U_8827)
| ~ v4_rlvect_1(U_8827)
| ~ v3_rlvect_1(U_8827)
| v3_struct_0(U_8827) ),
inference(definitional_conversion,[status(esa)],[f_3434_2]) ).
cnf(f_3434_4,plain,
( m1_subset_1(k5_rmod_4(U_8827,U_8826,U_8825),u1_struct_0(U_8826))
| ~ m1_rmod_4(U_8825,U_8827,U_8826)
| ~ l1_vectsp_2(U_8826,U_8827)
| ~ v5_vectsp_2(U_8826,U_8827)
| ~ v6_rlvect_1(U_8826)
| ~ v5_rlvect_1(U_8826)
| ~ v4_rlvect_1(U_8826)
| ~ v3_rlvect_1(U_8826)
| v3_struct_0(U_8826)
| ~ l3_vectsp_1(U_8827)
| ~ v8_vectsp_1(U_8827)
| ~ v7_vectsp_1(U_8827)
| ~ v6_vectsp_1(U_8827)
| ~ v4_group_1(U_8827)
| ~ v6_rlvect_1(U_8827)
| ~ v5_rlvect_1(U_8827)
| ~ v4_rlvect_1(U_8827)
| ~ v3_rlvect_1(U_8827)
| v3_struct_0(U_8827) ),
inference(clausify,[status(thm)],[f_3434_3]) ).
fof(f_3435_1,plain,
! [A,B,C,D] :
( m1_rmod_4(k6_rmod_4(A,B,C,D),A,B)
| ~ m1_rmod_4(D,A,B)
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_rmod_4]) ).
fof(f_3435_2,plain,
! [U_8831,U_8830,U_8829,U_8828] :
( m1_rmod_4(k6_rmod_4(U_8831,U_8830,U_8829,U_8828),U_8831,U_8830)
| ~ m1_rmod_4(U_8828,U_8831,U_8830)
| ~ m1_rmod_4(U_8829,U_8831,U_8830)
| ~ l1_vectsp_2(U_8830,U_8831)
| ~ v5_vectsp_2(U_8830,U_8831)
| ~ v6_rlvect_1(U_8830)
| ~ v5_rlvect_1(U_8830)
| ~ v4_rlvect_1(U_8830)
| ~ v3_rlvect_1(U_8830)
| v3_struct_0(U_8830)
| ~ l3_vectsp_1(U_8831)
| ~ v8_vectsp_1(U_8831)
| ~ v7_vectsp_1(U_8831)
| ~ v6_vectsp_1(U_8831)
| ~ v4_group_1(U_8831)
| ~ v6_rlvect_1(U_8831)
| ~ v5_rlvect_1(U_8831)
| ~ v4_rlvect_1(U_8831)
| ~ v3_rlvect_1(U_8831)
| v3_struct_0(U_8831) ),
inference(variable_rename,[status(thm)],[f_3435_1]) ).
fof(f_3435_3,plain,
! [U_8829,U_8831,U_8828,U_8830] :
( m1_rmod_4(k6_rmod_4(U_8831,U_8830,U_8829,U_8828),U_8831,U_8830)
| ~ m1_rmod_4(U_8828,U_8831,U_8830)
| ~ m1_rmod_4(U_8829,U_8831,U_8830)
| ~ l1_vectsp_2(U_8830,U_8831)
| ~ v5_vectsp_2(U_8830,U_8831)
| ~ v6_rlvect_1(U_8830)
| ~ v5_rlvect_1(U_8830)
| ~ v4_rlvect_1(U_8830)
| ~ v3_rlvect_1(U_8830)
| v3_struct_0(U_8830)
| ~ l3_vectsp_1(U_8831)
| ~ v8_vectsp_1(U_8831)
| ~ v7_vectsp_1(U_8831)
| ~ v6_vectsp_1(U_8831)
| ~ v4_group_1(U_8831)
| ~ v6_rlvect_1(U_8831)
| ~ v5_rlvect_1(U_8831)
| ~ v4_rlvect_1(U_8831)
| ~ v3_rlvect_1(U_8831)
| v3_struct_0(U_8831) ),
inference(definitional_conversion,[status(esa)],[f_3435_2]) ).
cnf(f_3435_4,plain,
( m1_rmod_4(k6_rmod_4(U_8831,U_8830,U_8829,U_8828),U_8831,U_8830)
| ~ m1_rmod_4(U_8828,U_8831,U_8830)
| ~ m1_rmod_4(U_8829,U_8831,U_8830)
| ~ l1_vectsp_2(U_8830,U_8831)
| ~ v5_vectsp_2(U_8830,U_8831)
| ~ v6_rlvect_1(U_8830)
| ~ v5_rlvect_1(U_8830)
| ~ v4_rlvect_1(U_8830)
| ~ v3_rlvect_1(U_8830)
| v3_struct_0(U_8830)
| ~ l3_vectsp_1(U_8831)
| ~ v8_vectsp_1(U_8831)
| ~ v7_vectsp_1(U_8831)
| ~ v6_vectsp_1(U_8831)
| ~ v4_group_1(U_8831)
| ~ v6_rlvect_1(U_8831)
| ~ v5_rlvect_1(U_8831)
| ~ v4_rlvect_1(U_8831)
| ~ v3_rlvect_1(U_8831)
| v3_struct_0(U_8831) ),
inference(clausify,[status(thm)],[f_3435_3]) ).
fof(f_3436_1,plain,
! [A,B,C,D] :
( m1_rmod_4(k7_rmod_4(A,B,C,D),A,B)
| ~ m1_rmod_4(D,A,B)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_rmod_4]) ).
fof(f_3436_2,plain,
! [U_8835,U_8834,U_8833,U_8832] :
( m1_rmod_4(k7_rmod_4(U_8835,U_8834,U_8833,U_8832),U_8835,U_8834)
| ~ m1_rmod_4(U_8832,U_8835,U_8834)
| ~ m1_subset_1(U_8833,u1_struct_0(U_8835))
| ~ l1_vectsp_2(U_8834,U_8835)
| ~ v5_vectsp_2(U_8834,U_8835)
| ~ v6_rlvect_1(U_8834)
| ~ v5_rlvect_1(U_8834)
| ~ v4_rlvect_1(U_8834)
| ~ v3_rlvect_1(U_8834)
| v3_struct_0(U_8834)
| ~ l3_vectsp_1(U_8835)
| ~ v8_vectsp_1(U_8835)
| ~ v7_vectsp_1(U_8835)
| ~ v6_vectsp_1(U_8835)
| ~ v4_group_1(U_8835)
| ~ v6_rlvect_1(U_8835)
| ~ v5_rlvect_1(U_8835)
| ~ v4_rlvect_1(U_8835)
| ~ v3_rlvect_1(U_8835)
| v3_struct_0(U_8835) ),
inference(variable_rename,[status(thm)],[f_3436_1]) ).
fof(f_3436_3,plain,
! [U_8833,U_8835,U_8832,U_8834] :
( m1_rmod_4(k7_rmod_4(U_8835,U_8834,U_8833,U_8832),U_8835,U_8834)
| ~ m1_rmod_4(U_8832,U_8835,U_8834)
| ~ m1_subset_1(U_8833,u1_struct_0(U_8835))
| ~ l1_vectsp_2(U_8834,U_8835)
| ~ v5_vectsp_2(U_8834,U_8835)
| ~ v6_rlvect_1(U_8834)
| ~ v5_rlvect_1(U_8834)
| ~ v4_rlvect_1(U_8834)
| ~ v3_rlvect_1(U_8834)
| v3_struct_0(U_8834)
| ~ l3_vectsp_1(U_8835)
| ~ v8_vectsp_1(U_8835)
| ~ v7_vectsp_1(U_8835)
| ~ v6_vectsp_1(U_8835)
| ~ v4_group_1(U_8835)
| ~ v6_rlvect_1(U_8835)
| ~ v5_rlvect_1(U_8835)
| ~ v4_rlvect_1(U_8835)
| ~ v3_rlvect_1(U_8835)
| v3_struct_0(U_8835) ),
inference(definitional_conversion,[status(esa)],[f_3436_2]) ).
cnf(f_3436_4,plain,
( m1_rmod_4(k7_rmod_4(U_8835,U_8834,U_8833,U_8832),U_8835,U_8834)
| ~ m1_rmod_4(U_8832,U_8835,U_8834)
| ~ m1_subset_1(U_8833,u1_struct_0(U_8835))
| ~ l1_vectsp_2(U_8834,U_8835)
| ~ v5_vectsp_2(U_8834,U_8835)
| ~ v6_rlvect_1(U_8834)
| ~ v5_rlvect_1(U_8834)
| ~ v4_rlvect_1(U_8834)
| ~ v3_rlvect_1(U_8834)
| v3_struct_0(U_8834)
| ~ l3_vectsp_1(U_8835)
| ~ v8_vectsp_1(U_8835)
| ~ v7_vectsp_1(U_8835)
| ~ v6_vectsp_1(U_8835)
| ~ v4_group_1(U_8835)
| ~ v6_rlvect_1(U_8835)
| ~ v5_rlvect_1(U_8835)
| ~ v4_rlvect_1(U_8835)
| ~ v3_rlvect_1(U_8835)
| v3_struct_0(U_8835) ),
inference(clausify,[status(thm)],[f_3436_3]) ).
fof(f_3437_1,plain,
! [A,B,C] :
( m1_rmod_4(k8_rmod_4(A,B,C),A,B)
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k8_rmod_4]) ).
fof(f_3437_2,plain,
! [U_8838,U_8837,U_8836] :
( m1_rmod_4(k8_rmod_4(U_8838,U_8837,U_8836),U_8838,U_8837)
| ~ m1_rmod_4(U_8836,U_8838,U_8837)
| ~ l1_vectsp_2(U_8837,U_8838)
| ~ v5_vectsp_2(U_8837,U_8838)
| ~ v6_rlvect_1(U_8837)
| ~ v5_rlvect_1(U_8837)
| ~ v4_rlvect_1(U_8837)
| ~ v3_rlvect_1(U_8837)
| v3_struct_0(U_8837)
| ~ l3_vectsp_1(U_8838)
| ~ v8_vectsp_1(U_8838)
| ~ v7_vectsp_1(U_8838)
| ~ v6_vectsp_1(U_8838)
| ~ v4_group_1(U_8838)
| ~ v6_rlvect_1(U_8838)
| ~ v5_rlvect_1(U_8838)
| ~ v4_rlvect_1(U_8838)
| ~ v3_rlvect_1(U_8838)
| v3_struct_0(U_8838) ),
inference(variable_rename,[status(thm)],[f_3437_1]) ).
fof(f_3437_3,plain,
! [U_8838,U_8837,U_8836] :
( m1_rmod_4(k8_rmod_4(U_8838,U_8837,U_8836),U_8838,U_8837)
| ~ m1_rmod_4(U_8836,U_8838,U_8837)
| ~ l1_vectsp_2(U_8837,U_8838)
| ~ v5_vectsp_2(U_8837,U_8838)
| ~ v6_rlvect_1(U_8837)
| ~ v5_rlvect_1(U_8837)
| ~ v4_rlvect_1(U_8837)
| ~ v3_rlvect_1(U_8837)
| v3_struct_0(U_8837)
| ~ l3_vectsp_1(U_8838)
| ~ v8_vectsp_1(U_8838)
| ~ v7_vectsp_1(U_8838)
| ~ v6_vectsp_1(U_8838)
| ~ v4_group_1(U_8838)
| ~ v6_rlvect_1(U_8838)
| ~ v5_rlvect_1(U_8838)
| ~ v4_rlvect_1(U_8838)
| ~ v3_rlvect_1(U_8838)
| v3_struct_0(U_8838) ),
inference(definitional_conversion,[status(esa)],[f_3437_2]) ).
cnf(f_3437_4,plain,
( m1_rmod_4(k8_rmod_4(U_8838,U_8837,U_8836),U_8838,U_8837)
| ~ m1_rmod_4(U_8836,U_8838,U_8837)
| ~ l1_vectsp_2(U_8837,U_8838)
| ~ v5_vectsp_2(U_8837,U_8838)
| ~ v6_rlvect_1(U_8837)
| ~ v5_rlvect_1(U_8837)
| ~ v4_rlvect_1(U_8837)
| ~ v3_rlvect_1(U_8837)
| v3_struct_0(U_8837)
| ~ l3_vectsp_1(U_8838)
| ~ v8_vectsp_1(U_8838)
| ~ v7_vectsp_1(U_8838)
| ~ v6_vectsp_1(U_8838)
| ~ v4_group_1(U_8838)
| ~ v6_rlvect_1(U_8838)
| ~ v5_rlvect_1(U_8838)
| ~ v4_rlvect_1(U_8838)
| ~ v3_rlvect_1(U_8838)
| v3_struct_0(U_8838) ),
inference(clausify,[status(thm)],[f_3437_3]) ).
fof(f_3438_1,plain,
! [A,B,C] :
( k8_rmod_4(A,B,k8_rmod_4(A,B,C)) = C
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[involutiveness_k8_rmod_4]) ).
fof(f_3438_2,plain,
! [U_8841,U_8840,U_8839] :
( k8_rmod_4(U_8841,U_8840,k8_rmod_4(U_8841,U_8840,U_8839)) = U_8839
| ~ m1_rmod_4(U_8839,U_8841,U_8840)
| ~ l1_vectsp_2(U_8840,U_8841)
| ~ v5_vectsp_2(U_8840,U_8841)
| ~ v6_rlvect_1(U_8840)
| ~ v5_rlvect_1(U_8840)
| ~ v4_rlvect_1(U_8840)
| ~ v3_rlvect_1(U_8840)
| v3_struct_0(U_8840)
| ~ l3_vectsp_1(U_8841)
| ~ v8_vectsp_1(U_8841)
| ~ v7_vectsp_1(U_8841)
| ~ v6_vectsp_1(U_8841)
| ~ v4_group_1(U_8841)
| ~ v6_rlvect_1(U_8841)
| ~ v5_rlvect_1(U_8841)
| ~ v4_rlvect_1(U_8841)
| ~ v3_rlvect_1(U_8841)
| v3_struct_0(U_8841) ),
inference(variable_rename,[status(thm)],[f_3438_1]) ).
fof(f_3438_3,plain,
! [U_8839,U_8840,U_8841] :
( k8_rmod_4(U_8841,U_8840,k8_rmod_4(U_8841,U_8840,U_8839)) = U_8839
| ~ m1_rmod_4(U_8839,U_8841,U_8840)
| ~ l1_vectsp_2(U_8840,U_8841)
| ~ v5_vectsp_2(U_8840,U_8841)
| ~ v6_rlvect_1(U_8840)
| ~ v5_rlvect_1(U_8840)
| ~ v4_rlvect_1(U_8840)
| ~ v3_rlvect_1(U_8840)
| v3_struct_0(U_8840)
| ~ l3_vectsp_1(U_8841)
| ~ v8_vectsp_1(U_8841)
| ~ v7_vectsp_1(U_8841)
| ~ v6_vectsp_1(U_8841)
| ~ v4_group_1(U_8841)
| ~ v6_rlvect_1(U_8841)
| ~ v5_rlvect_1(U_8841)
| ~ v4_rlvect_1(U_8841)
| ~ v3_rlvect_1(U_8841)
| v3_struct_0(U_8841) ),
inference(definitional_conversion,[status(esa)],[f_3438_2]) ).
cnf(f_3438_4,plain,
( k8_rmod_4(U_8841,U_8840,k8_rmod_4(U_8841,U_8840,U_8839)) = U_8839
| ~ m1_rmod_4(U_8839,U_8841,U_8840)
| ~ l1_vectsp_2(U_8840,U_8841)
| ~ v5_vectsp_2(U_8840,U_8841)
| ~ v6_rlvect_1(U_8840)
| ~ v5_rlvect_1(U_8840)
| ~ v4_rlvect_1(U_8840)
| ~ v3_rlvect_1(U_8840)
| v3_struct_0(U_8840)
| ~ l3_vectsp_1(U_8841)
| ~ v8_vectsp_1(U_8841)
| ~ v7_vectsp_1(U_8841)
| ~ v6_vectsp_1(U_8841)
| ~ v4_group_1(U_8841)
| ~ v6_rlvect_1(U_8841)
| ~ v5_rlvect_1(U_8841)
| ~ v4_rlvect_1(U_8841)
| ~ v3_rlvect_1(U_8841)
| v3_struct_0(U_8841) ),
inference(clausify,[status(thm)],[f_3438_3]) ).
fof(f_3439_1,plain,
! [A,B,C,D] :
( m1_rmod_4(k9_rmod_4(A,B,C,D),A,B)
| ~ m1_rmod_4(D,A,B)
| ~ m1_rmod_4(C,A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k9_rmod_4]) ).
fof(f_3439_2,plain,
! [U_8845,U_8844,U_8843,U_8842] :
( m1_rmod_4(k9_rmod_4(U_8845,U_8844,U_8843,U_8842),U_8845,U_8844)
| ~ m1_rmod_4(U_8842,U_8845,U_8844)
| ~ m1_rmod_4(U_8843,U_8845,U_8844)
| ~ l1_vectsp_2(U_8844,U_8845)
| ~ v5_vectsp_2(U_8844,U_8845)
| ~ v6_rlvect_1(U_8844)
| ~ v5_rlvect_1(U_8844)
| ~ v4_rlvect_1(U_8844)
| ~ v3_rlvect_1(U_8844)
| v3_struct_0(U_8844)
| ~ l3_vectsp_1(U_8845)
| ~ v8_vectsp_1(U_8845)
| ~ v7_vectsp_1(U_8845)
| ~ v6_vectsp_1(U_8845)
| ~ v4_group_1(U_8845)
| ~ v6_rlvect_1(U_8845)
| ~ v5_rlvect_1(U_8845)
| ~ v4_rlvect_1(U_8845)
| ~ v3_rlvect_1(U_8845)
| v3_struct_0(U_8845) ),
inference(variable_rename,[status(thm)],[f_3439_1]) ).
fof(f_3439_3,plain,
! [U_8843,U_8845,U_8842,U_8844] :
( m1_rmod_4(k9_rmod_4(U_8845,U_8844,U_8843,U_8842),U_8845,U_8844)
| ~ m1_rmod_4(U_8842,U_8845,U_8844)
| ~ m1_rmod_4(U_8843,U_8845,U_8844)
| ~ l1_vectsp_2(U_8844,U_8845)
| ~ v5_vectsp_2(U_8844,U_8845)
| ~ v6_rlvect_1(U_8844)
| ~ v5_rlvect_1(U_8844)
| ~ v4_rlvect_1(U_8844)
| ~ v3_rlvect_1(U_8844)
| v3_struct_0(U_8844)
| ~ l3_vectsp_1(U_8845)
| ~ v8_vectsp_1(U_8845)
| ~ v7_vectsp_1(U_8845)
| ~ v6_vectsp_1(U_8845)
| ~ v4_group_1(U_8845)
| ~ v6_rlvect_1(U_8845)
| ~ v5_rlvect_1(U_8845)
| ~ v4_rlvect_1(U_8845)
| ~ v3_rlvect_1(U_8845)
| v3_struct_0(U_8845) ),
inference(definitional_conversion,[status(esa)],[f_3439_2]) ).
cnf(f_3439_4,plain,
( m1_rmod_4(k9_rmod_4(U_8845,U_8844,U_8843,U_8842),U_8845,U_8844)
| ~ m1_rmod_4(U_8842,U_8845,U_8844)
| ~ m1_rmod_4(U_8843,U_8845,U_8844)
| ~ l1_vectsp_2(U_8844,U_8845)
| ~ v5_vectsp_2(U_8844,U_8845)
| ~ v6_rlvect_1(U_8844)
| ~ v5_rlvect_1(U_8844)
| ~ v4_rlvect_1(U_8844)
| ~ v3_rlvect_1(U_8844)
| v3_struct_0(U_8844)
| ~ l3_vectsp_1(U_8845)
| ~ v8_vectsp_1(U_8845)
| ~ v7_vectsp_1(U_8845)
| ~ v6_vectsp_1(U_8845)
| ~ v4_group_1(U_8845)
| ~ v6_rlvect_1(U_8845)
| ~ v5_rlvect_1(U_8845)
| ~ v4_rlvect_1(U_8845)
| ~ v3_rlvect_1(U_8845)
| v3_struct_0(U_8845) ),
inference(clausify,[status(thm)],[f_3439_3]) ).
fof(f_3440_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_rmod_4(A,B,C) = a_3_0_rmod_4(A,B,C)
| ~ m1_rmod_4(C,A,B) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_rmod_4]) ).
fof(f_3440_2,plain,
! [U_8848] :
( ! [U_8847] :
( ! [U_8846] :
( k2_rmod_4(U_8848,U_8847,U_8846) = a_3_0_rmod_4(U_8848,U_8847,U_8846)
| ~ m1_rmod_4(U_8846,U_8848,U_8847) )
| ~ l1_vectsp_2(U_8847,U_8848)
| ~ v5_vectsp_2(U_8847,U_8848)
| ~ v6_rlvect_1(U_8847)
| ~ v5_rlvect_1(U_8847)
| ~ v4_rlvect_1(U_8847)
| ~ v3_rlvect_1(U_8847)
| v3_struct_0(U_8847) )
| ~ l3_vectsp_1(U_8848)
| ~ v8_vectsp_1(U_8848)
| ~ v7_vectsp_1(U_8848)
| ~ v6_vectsp_1(U_8848)
| ~ v4_group_1(U_8848)
| ~ v6_rlvect_1(U_8848)
| ~ v5_rlvect_1(U_8848)
| ~ v4_rlvect_1(U_8848)
| ~ v3_rlvect_1(U_8848)
| v3_struct_0(U_8848) ),
inference(variable_rename,[status(thm)],[f_3440_1]) ).
fof(f_3440_3,plain,
! [U_8846,U_8847,U_8848] :
( k2_rmod_4(U_8848,U_8847,U_8846) = a_3_0_rmod_4(U_8848,U_8847,U_8846)
| ~ m1_rmod_4(U_8846,U_8848,U_8847)
| ~ l1_vectsp_2(U_8847,U_8848)
| ~ v5_vectsp_2(U_8847,U_8848)
| ~ v6_rlvect_1(U_8847)
| ~ v5_rlvect_1(U_8847)
| ~ v4_rlvect_1(U_8847)
| ~ v3_rlvect_1(U_8847)
| v3_struct_0(U_8847)
| ~ l3_vectsp_1(U_8848)
| ~ v8_vectsp_1(U_8848)
| ~ v7_vectsp_1(U_8848)
| ~ v6_vectsp_1(U_8848)
| ~ v4_group_1(U_8848)
| ~ v6_rlvect_1(U_8848)
| ~ v5_rlvect_1(U_8848)
| ~ v4_rlvect_1(U_8848)
| ~ v3_rlvect_1(U_8848)
| v3_struct_0(U_8848) ),
inference(definitional_conversion,[status(esa)],[f_3440_2]) ).
cnf(f_3440_4,plain,
( k2_rmod_4(U_8848,U_8847,U_8846) = a_3_0_rmod_4(U_8848,U_8847,U_8846)
| ~ m1_rmod_4(U_8846,U_8848,U_8847)
| ~ l1_vectsp_2(U_8847,U_8848)
| ~ v5_vectsp_2(U_8847,U_8848)
| ~ v6_rlvect_1(U_8847)
| ~ v5_rlvect_1(U_8847)
| ~ v4_rlvect_1(U_8847)
| ~ v3_rlvect_1(U_8847)
| v3_struct_0(U_8847)
| ~ l3_vectsp_1(U_8848)
| ~ v8_vectsp_1(U_8848)
| ~ v7_vectsp_1(U_8848)
| ~ v6_vectsp_1(U_8848)
| ~ v4_group_1(U_8848)
| ~ v6_rlvect_1(U_8848)
| ~ v5_rlvect_1(U_8848)
| ~ v4_rlvect_1(U_8848)
| ~ v3_rlvect_1(U_8848)
| v3_struct_0(U_8848) ),
inference(clausify,[status(thm)],[f_3440_3]) ).
fof(f_3441_1,plain,
! [A,B,C,D] :
( ( ( r2_hidden(A,a_3_0_rmod_4(B,C,D))
| ! [E] :
( k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) = k1_rlvect_1(B)
| A != E
| ~ m1_subset_1(E,u1_struct_0(C)) ) )
& ( ? [E] :
( k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k1_rlvect_1(B)
& A = E
& m1_subset_1(E,u1_struct_0(C)) )
| ~ r2_hidden(A,a_3_0_rmod_4(B,C,D)) ) )
| ~ m1_rmod_4(D,B,C)
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C)
| ~ l3_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_3_0_rmod_4]) ).
fof(f_3441_2,plain,
! [U_8854,U_8853,U_8852,U_8851] :
( ( ( r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851))
| ! [U_8850] :
( k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,U_8850) = k1_rlvect_1(U_8853)
| U_8854 != U_8850
| ~ m1_subset_1(U_8850,u1_struct_0(U_8852)) ) )
& ( ? [U_8849] :
( k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,U_8849) != k1_rlvect_1(U_8853)
& U_8854 = U_8849
& m1_subset_1(U_8849,u1_struct_0(U_8852)) )
| ~ r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851)) ) )
| ~ m1_rmod_4(U_8851,U_8853,U_8852)
| ~ l1_vectsp_2(U_8852,U_8853)
| ~ v5_vectsp_2(U_8852,U_8853)
| ~ v6_rlvect_1(U_8852)
| ~ v5_rlvect_1(U_8852)
| ~ v4_rlvect_1(U_8852)
| ~ v3_rlvect_1(U_8852)
| v3_struct_0(U_8852)
| ~ l3_vectsp_1(U_8853)
| ~ v8_vectsp_1(U_8853)
| ~ v7_vectsp_1(U_8853)
| ~ v6_vectsp_1(U_8853)
| ~ v4_group_1(U_8853)
| ~ v6_rlvect_1(U_8853)
| ~ v5_rlvect_1(U_8853)
| ~ v4_rlvect_1(U_8853)
| ~ v3_rlvect_1(U_8853)
| v3_struct_0(U_8853) ),
inference(variable_rename,[status(thm)],[f_3441_1]) ).
fof(f_3441_3,plain,
! [U_8854,U_8853,U_8852,U_8851] :
( ( ( r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851))
| ! [U_8850] :
( k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,U_8850) = k1_rlvect_1(U_8853)
| U_8854 != U_8850
| ~ m1_subset_1(U_8850,u1_struct_0(U_8852)) ) )
& ( ( k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,sK1002(U_8854,U_8853,U_8852,U_8851)) != k1_rlvect_1(U_8853)
& U_8854 = sK1002(U_8854,U_8853,U_8852,U_8851)
& m1_subset_1(sK1002(U_8854,U_8853,U_8852,U_8851),u1_struct_0(U_8852)) )
| ~ r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851)) ) )
| ~ m1_rmod_4(U_8851,U_8853,U_8852)
| ~ l1_vectsp_2(U_8852,U_8853)
| ~ v5_vectsp_2(U_8852,U_8853)
| ~ v6_rlvect_1(U_8852)
| ~ v5_rlvect_1(U_8852)
| ~ v4_rlvect_1(U_8852)
| ~ v3_rlvect_1(U_8852)
| v3_struct_0(U_8852)
| ~ l3_vectsp_1(U_8853)
| ~ v8_vectsp_1(U_8853)
| ~ v7_vectsp_1(U_8853)
| ~ v6_vectsp_1(U_8853)
| ~ v4_group_1(U_8853)
| ~ v6_rlvect_1(U_8853)
| ~ v5_rlvect_1(U_8853)
| ~ v4_rlvect_1(U_8853)
| ~ v3_rlvect_1(U_8853)
| v3_struct_0(U_8853) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1002]),skolemize(U_8849,sK1002(U_8854,U_8853,U_8852,U_8851))],[f_3441_2]) ).
fof(f_3441_4,plain,
( ! [U_8854,U_8851,U_8852,U_8853] :
( k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,sK1002(U_8854,U_8853,U_8852,U_8851)) != k1_rlvect_1(U_8853)
| ~ sP1531(U_8854,U_8851,U_8852,U_8853) )
& ! [U_8854,U_8851,U_8852,U_8853] :
( U_8854 = sK1002(U_8854,U_8853,U_8852,U_8851)
| ~ sP1531(U_8854,U_8851,U_8852,U_8853) )
& ! [U_8854,U_8851,U_8852,U_8853] :
( m1_subset_1(sK1002(U_8854,U_8853,U_8852,U_8851),u1_struct_0(U_8852))
| ~ sP1531(U_8854,U_8851,U_8852,U_8853) )
& ! [U_8854,U_8850,U_8851,U_8852,U_8853] :
( r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851))
| k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,U_8850) = k1_rlvect_1(U_8853)
| U_8854 != U_8850
| ~ m1_subset_1(U_8850,u1_struct_0(U_8852))
| ~ sP1532(U_8854,U_8850,U_8851,U_8852,U_8853) )
& ! [U_8854,U_8850,U_8851,U_8852,U_8853] :
( sP1531(U_8854,U_8851,U_8852,U_8853)
| ~ r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851))
| ~ sP1532(U_8854,U_8850,U_8851,U_8852,U_8853) )
& ! [U_8854,U_8850,U_8851,U_8852,U_8853] :
( sP1532(U_8854,U_8850,U_8851,U_8852,U_8853)
| ~ m1_rmod_4(U_8851,U_8853,U_8852)
| ~ l1_vectsp_2(U_8852,U_8853)
| ~ v5_vectsp_2(U_8852,U_8853)
| ~ v6_rlvect_1(U_8852)
| ~ v5_rlvect_1(U_8852)
| ~ v4_rlvect_1(U_8852)
| ~ v3_rlvect_1(U_8852)
| v3_struct_0(U_8852)
| ~ l3_vectsp_1(U_8853)
| ~ v8_vectsp_1(U_8853)
| ~ v7_vectsp_1(U_8853)
| ~ v6_vectsp_1(U_8853)
| ~ v4_group_1(U_8853)
| ~ v6_rlvect_1(U_8853)
| ~ v5_rlvect_1(U_8853)
| ~ v4_rlvect_1(U_8853)
| ~ v3_rlvect_1(U_8853)
| v3_struct_0(U_8853) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1531,sP1532])],[f_3441_3]) ).
cnf(f_3441_5,plain,
( sP1532(U_8854,U_8850,U_8851,U_8852,U_8853)
| ~ m1_rmod_4(U_8851,U_8853,U_8852)
| ~ l1_vectsp_2(U_8852,U_8853)
| ~ v5_vectsp_2(U_8852,U_8853)
| ~ v6_rlvect_1(U_8852)
| ~ v5_rlvect_1(U_8852)
| ~ v4_rlvect_1(U_8852)
| ~ v3_rlvect_1(U_8852)
| v3_struct_0(U_8852)
| ~ l3_vectsp_1(U_8853)
| ~ v8_vectsp_1(U_8853)
| ~ v7_vectsp_1(U_8853)
| ~ v6_vectsp_1(U_8853)
| ~ v4_group_1(U_8853)
| ~ v6_rlvect_1(U_8853)
| ~ v5_rlvect_1(U_8853)
| ~ v4_rlvect_1(U_8853)
| ~ v3_rlvect_1(U_8853)
| v3_struct_0(U_8853) ),
inference(clausify,[status(thm)],[f_3441_4]) ).
cnf(f_3441_6,plain,
( sP1531(U_8854,U_8851,U_8852,U_8853)
| ~ r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851))
| ~ sP1532(U_8854,U_8850,U_8851,U_8852,U_8853) ),
inference(clausify,[status(thm)],[f_3441_4]) ).
cnf(f_3441_7,plain,
( r2_hidden(U_8854,a_3_0_rmod_4(U_8853,U_8852,U_8851))
| k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,U_8850) = k1_rlvect_1(U_8853)
| U_8854 != U_8850
| ~ m1_subset_1(U_8850,u1_struct_0(U_8852))
| ~ sP1532(U_8854,U_8850,U_8851,U_8852,U_8853) ),
inference(clausify,[status(thm)],[f_3441_4]) ).
cnf(f_3441_8,plain,
( m1_subset_1(sK1002(U_8854,U_8853,U_8852,U_8851),u1_struct_0(U_8852))
| ~ sP1531(U_8854,U_8851,U_8852,U_8853) ),
inference(clausify,[status(thm)],[f_3441_4]) ).
cnf(f_3441_9,plain,
( U_8854 = sK1002(U_8854,U_8853,U_8852,U_8851)
| ~ sP1531(U_8854,U_8851,U_8852,U_8853) ),
inference(clausify,[status(thm)],[f_3441_4]) ).
cnf(f_3441_10,plain,
( k8_funct_2(u1_struct_0(U_8852),u1_struct_0(U_8853),U_8851,sK1002(U_8854,U_8853,U_8852,U_8851)) != k1_rlvect_1(U_8853)
| ~ sP1531(U_8854,U_8851,U_8852,U_8853) ),
inference(clausify,[status(thm)],[f_3441_4]) ).
fof(f_3442_1,plain,
! [A,B,C] :
( ( m1_rmod_2(k1_rmod_5(A,B,C),A,B)
& v3_vectsp_2(k1_rmod_5(A,B,C),A) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_rmod_5]) ).
fof(f_3442_2,plain,
! [U_8857,U_8856,U_8855] :
( ( m1_rmod_2(k1_rmod_5(U_8857,U_8856,U_8855),U_8857,U_8856)
& v3_vectsp_2(k1_rmod_5(U_8857,U_8856,U_8855),U_8857) )
| ~ m1_subset_1(U_8855,k1_zfmisc_1(u1_struct_0(U_8856)))
| ~ l1_vectsp_2(U_8856,U_8857)
| ~ v5_vectsp_2(U_8856,U_8857)
| ~ v6_rlvect_1(U_8856)
| ~ v5_rlvect_1(U_8856)
| ~ v4_rlvect_1(U_8856)
| ~ v3_rlvect_1(U_8856)
| v3_struct_0(U_8856)
| ~ l3_vectsp_1(U_8857)
| ~ v2_vectsp_2(U_8857)
| v10_vectsp_1(U_8857)
| ~ v8_vectsp_1(U_8857)
| ~ v7_vectsp_1(U_8857)
| ~ v6_vectsp_1(U_8857)
| ~ v7_group_1(U_8857)
| ~ v4_group_1(U_8857)
| ~ v6_rlvect_1(U_8857)
| ~ v5_rlvect_1(U_8857)
| ~ v4_rlvect_1(U_8857)
| ~ v3_rlvect_1(U_8857)
| v3_struct_0(U_8857) ),
inference(variable_rename,[status(thm)],[f_3442_1]) ).
fof(f_3442_3,plain,
( ! [U_8855,U_8856,U_8857] :
( m1_rmod_2(k1_rmod_5(U_8857,U_8856,U_8855),U_8857,U_8856)
| ~ sP1533(U_8855,U_8856,U_8857) )
& ! [U_8855,U_8856,U_8857] :
( v3_vectsp_2(k1_rmod_5(U_8857,U_8856,U_8855),U_8857)
| ~ sP1533(U_8855,U_8856,U_8857) )
& ! [U_8855,U_8856,U_8857] :
( sP1533(U_8855,U_8856,U_8857)
| ~ m1_subset_1(U_8855,k1_zfmisc_1(u1_struct_0(U_8856)))
| ~ l1_vectsp_2(U_8856,U_8857)
| ~ v5_vectsp_2(U_8856,U_8857)
| ~ v6_rlvect_1(U_8856)
| ~ v5_rlvect_1(U_8856)
| ~ v4_rlvect_1(U_8856)
| ~ v3_rlvect_1(U_8856)
| v3_struct_0(U_8856)
| ~ l3_vectsp_1(U_8857)
| ~ v2_vectsp_2(U_8857)
| v10_vectsp_1(U_8857)
| ~ v8_vectsp_1(U_8857)
| ~ v7_vectsp_1(U_8857)
| ~ v6_vectsp_1(U_8857)
| ~ v7_group_1(U_8857)
| ~ v4_group_1(U_8857)
| ~ v6_rlvect_1(U_8857)
| ~ v5_rlvect_1(U_8857)
| ~ v4_rlvect_1(U_8857)
| ~ v3_rlvect_1(U_8857)
| v3_struct_0(U_8857) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1533])],[f_3442_2]) ).
cnf(f_3442_4,plain,
( sP1533(U_8855,U_8856,U_8857)
| ~ m1_subset_1(U_8855,k1_zfmisc_1(u1_struct_0(U_8856)))
| ~ l1_vectsp_2(U_8856,U_8857)
| ~ v5_vectsp_2(U_8856,U_8857)
| ~ v6_rlvect_1(U_8856)
| ~ v5_rlvect_1(U_8856)
| ~ v4_rlvect_1(U_8856)
| ~ v3_rlvect_1(U_8856)
| v3_struct_0(U_8856)
| ~ l3_vectsp_1(U_8857)
| ~ v2_vectsp_2(U_8857)
| v10_vectsp_1(U_8857)
| ~ v8_vectsp_1(U_8857)
| ~ v7_vectsp_1(U_8857)
| ~ v6_vectsp_1(U_8857)
| ~ v7_group_1(U_8857)
| ~ v4_group_1(U_8857)
| ~ v6_rlvect_1(U_8857)
| ~ v5_rlvect_1(U_8857)
| ~ v4_rlvect_1(U_8857)
| ~ v3_rlvect_1(U_8857)
| v3_struct_0(U_8857) ),
inference(clausify,[status(thm)],[f_3442_3]) ).
cnf(f_3442_5,plain,
( v3_vectsp_2(k1_rmod_5(U_8857,U_8856,U_8855),U_8857)
| ~ sP1533(U_8855,U_8856,U_8857) ),
inference(clausify,[status(thm)],[f_3442_3]) ).
cnf(f_3442_6,plain,
( m1_rmod_2(k1_rmod_5(U_8857,U_8856,U_8855),U_8857,U_8856)
| ~ sP1533(U_8855,U_8856,U_8857) ),
inference(clausify,[status(thm)],[f_3442_3]) ).
fof(f_3443_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( v1_rmod_5(C,A,B)
| ? [D] :
( k2_rmod_4(A,B,D) != k1_xboole_0
& k5_rmod_4(A,B,D) = k1_rlvect_1(B)
& m2_rmod_4(D,A,B,C) ) )
& ( ! [D] :
( k2_rmod_4(A,B,D) = k1_xboole_0
| k5_rmod_4(A,B,D) != k1_rlvect_1(B)
| ~ m2_rmod_4(D,A,B,C) )
| ~ v1_rmod_5(C,A,B) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rmod_5]) ).
fof(f_3443_2,plain,
! [U_8862] :
( ! [U_8861] :
( ! [U_8860] :
( ( ( v1_rmod_5(U_8860,U_8862,U_8861)
| ? [U_8859] :
( k2_rmod_4(U_8862,U_8861,U_8859) != k1_xboole_0
& k5_rmod_4(U_8862,U_8861,U_8859) = k1_rlvect_1(U_8861)
& m2_rmod_4(U_8859,U_8862,U_8861,U_8860) ) )
& ( ! [U_8858] :
( k2_rmod_4(U_8862,U_8861,U_8858) = k1_xboole_0
| k5_rmod_4(U_8862,U_8861,U_8858) != k1_rlvect_1(U_8861)
| ~ m2_rmod_4(U_8858,U_8862,U_8861,U_8860) )
| ~ v1_rmod_5(U_8860,U_8862,U_8861) ) )
| ~ m1_subset_1(U_8860,k1_zfmisc_1(u1_struct_0(U_8861))) )
| ~ l1_vectsp_2(U_8861,U_8862)
| ~ v5_vectsp_2(U_8861,U_8862)
| ~ v6_rlvect_1(U_8861)
| ~ v5_rlvect_1(U_8861)
| ~ v4_rlvect_1(U_8861)
| ~ v3_rlvect_1(U_8861)
| v3_struct_0(U_8861) )
| ~ l3_vectsp_1(U_8862)
| ~ v8_vectsp_1(U_8862)
| ~ v7_vectsp_1(U_8862)
| ~ v6_vectsp_1(U_8862)
| ~ v4_group_1(U_8862)
| ~ v6_rlvect_1(U_8862)
| ~ v5_rlvect_1(U_8862)
| ~ v4_rlvect_1(U_8862)
| ~ v3_rlvect_1(U_8862)
| v3_struct_0(U_8862) ),
inference(variable_rename,[status(thm)],[f_3443_1]) ).
fof(f_3443_3,plain,
! [U_8862] :
( ! [U_8861] :
( ! [U_8860] :
( ( ( v1_rmod_5(U_8860,U_8862,U_8861)
| ( k2_rmod_4(U_8862,U_8861,sK1003(U_8862,U_8861,U_8860)) != k1_xboole_0
& k5_rmod_4(U_8862,U_8861,sK1003(U_8862,U_8861,U_8860)) = k1_rlvect_1(U_8861)
& m2_rmod_4(sK1003(U_8862,U_8861,U_8860),U_8862,U_8861,U_8860) ) )
& ( ! [U_8858] :
( k2_rmod_4(U_8862,U_8861,U_8858) = k1_xboole_0
| k5_rmod_4(U_8862,U_8861,U_8858) != k1_rlvect_1(U_8861)
| ~ m2_rmod_4(U_8858,U_8862,U_8861,U_8860) )
| ~ v1_rmod_5(U_8860,U_8862,U_8861) ) )
| ~ m1_subset_1(U_8860,k1_zfmisc_1(u1_struct_0(U_8861))) )
| ~ l1_vectsp_2(U_8861,U_8862)
| ~ v5_vectsp_2(U_8861,U_8862)
| ~ v6_rlvect_1(U_8861)
| ~ v5_rlvect_1(U_8861)
| ~ v4_rlvect_1(U_8861)
| ~ v3_rlvect_1(U_8861)
| v3_struct_0(U_8861) )
| ~ l3_vectsp_1(U_8862)
| ~ v8_vectsp_1(U_8862)
| ~ v7_vectsp_1(U_8862)
| ~ v6_vectsp_1(U_8862)
| ~ v4_group_1(U_8862)
| ~ v6_rlvect_1(U_8862)
| ~ v5_rlvect_1(U_8862)
| ~ v4_rlvect_1(U_8862)
| ~ v3_rlvect_1(U_8862)
| v3_struct_0(U_8862) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1003]),skolemize(U_8859,sK1003(U_8862,U_8861,U_8860))],[f_3443_2]) ).
fof(f_3443_4,plain,
( ! [U_8862,U_8861,U_8860] :
( k2_rmod_4(U_8862,U_8861,sK1003(U_8862,U_8861,U_8860)) != k1_xboole_0
| ~ sP1534(U_8862,U_8861,U_8860) )
& ! [U_8862,U_8861,U_8860] :
( k5_rmod_4(U_8862,U_8861,sK1003(U_8862,U_8861,U_8860)) = k1_rlvect_1(U_8861)
| ~ sP1534(U_8862,U_8861,U_8860) )
& ! [U_8862,U_8861,U_8860] :
( m2_rmod_4(sK1003(U_8862,U_8861,U_8860),U_8862,U_8861,U_8860)
| ~ sP1534(U_8862,U_8861,U_8860) )
& ! [U_8862,U_8861,U_8860,U_8858] :
( v1_rmod_5(U_8860,U_8862,U_8861)
| sP1534(U_8862,U_8861,U_8860)
| ~ sP1535(U_8862,U_8861,U_8860,U_8858) )
& ! [U_8862,U_8861,U_8860,U_8858] :
( k2_rmod_4(U_8862,U_8861,U_8858) = k1_xboole_0
| k5_rmod_4(U_8862,U_8861,U_8858) != k1_rlvect_1(U_8861)
| ~ m2_rmod_4(U_8858,U_8862,U_8861,U_8860)
| ~ v1_rmod_5(U_8860,U_8862,U_8861)
| ~ sP1535(U_8862,U_8861,U_8860,U_8858) )
& ! [U_8862,U_8861,U_8860,U_8858] :
( sP1535(U_8862,U_8861,U_8860,U_8858)
| ~ m1_subset_1(U_8860,k1_zfmisc_1(u1_struct_0(U_8861)))
| ~ l1_vectsp_2(U_8861,U_8862)
| ~ v5_vectsp_2(U_8861,U_8862)
| ~ v6_rlvect_1(U_8861)
| ~ v5_rlvect_1(U_8861)
| ~ v4_rlvect_1(U_8861)
| ~ v3_rlvect_1(U_8861)
| v3_struct_0(U_8861)
| ~ l3_vectsp_1(U_8862)
| ~ v8_vectsp_1(U_8862)
| ~ v7_vectsp_1(U_8862)
| ~ v6_vectsp_1(U_8862)
| ~ v4_group_1(U_8862)
| ~ v6_rlvect_1(U_8862)
| ~ v5_rlvect_1(U_8862)
| ~ v4_rlvect_1(U_8862)
| ~ v3_rlvect_1(U_8862)
| v3_struct_0(U_8862) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1534,sP1535])],[f_3443_3]) ).
cnf(f_3443_5,plain,
( sP1535(U_8862,U_8861,U_8860,U_8858)
| ~ m1_subset_1(U_8860,k1_zfmisc_1(u1_struct_0(U_8861)))
| ~ l1_vectsp_2(U_8861,U_8862)
| ~ v5_vectsp_2(U_8861,U_8862)
| ~ v6_rlvect_1(U_8861)
| ~ v5_rlvect_1(U_8861)
| ~ v4_rlvect_1(U_8861)
| ~ v3_rlvect_1(U_8861)
| v3_struct_0(U_8861)
| ~ l3_vectsp_1(U_8862)
| ~ v8_vectsp_1(U_8862)
| ~ v7_vectsp_1(U_8862)
| ~ v6_vectsp_1(U_8862)
| ~ v4_group_1(U_8862)
| ~ v6_rlvect_1(U_8862)
| ~ v5_rlvect_1(U_8862)
| ~ v4_rlvect_1(U_8862)
| ~ v3_rlvect_1(U_8862)
| v3_struct_0(U_8862) ),
inference(clausify,[status(thm)],[f_3443_4]) ).
cnf(f_3443_6,plain,
( k2_rmod_4(U_8862,U_8861,U_8858) = k1_xboole_0
| k5_rmod_4(U_8862,U_8861,U_8858) != k1_rlvect_1(U_8861)
| ~ m2_rmod_4(U_8858,U_8862,U_8861,U_8860)
| ~ v1_rmod_5(U_8860,U_8862,U_8861)
| ~ sP1535(U_8862,U_8861,U_8860,U_8858) ),
inference(clausify,[status(thm)],[f_3443_4]) ).
cnf(f_3443_7,plain,
( v1_rmod_5(U_8860,U_8862,U_8861)
| sP1534(U_8862,U_8861,U_8860)
| ~ sP1535(U_8862,U_8861,U_8860,U_8858) ),
inference(clausify,[status(thm)],[f_3443_4]) ).
cnf(f_3443_8,plain,
( m2_rmod_4(sK1003(U_8862,U_8861,U_8860),U_8862,U_8861,U_8860)
| ~ sP1534(U_8862,U_8861,U_8860) ),
inference(clausify,[status(thm)],[f_3443_4]) ).
cnf(f_3443_9,plain,
( k5_rmod_4(U_8862,U_8861,sK1003(U_8862,U_8861,U_8860)) = k1_rlvect_1(U_8861)
| ~ sP1534(U_8862,U_8861,U_8860) ),
inference(clausify,[status(thm)],[f_3443_4]) ).
cnf(f_3443_10,plain,
( k2_rmod_4(U_8862,U_8861,sK1003(U_8862,U_8861,U_8860)) != k1_xboole_0
| ~ sP1534(U_8862,U_8861,U_8860) ),
inference(clausify,[status(thm)],[f_3443_4]) ).
fof(f_3444_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t1_rmod_5]) ).
fof(f_3444_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3444_1]) ).
cnf(f_3444_3,plain,
$true,
inference(clausify,[status(thm)],[f_3444_2]) ).
fof(f_3445_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( v1_rmod_5(C,A,B)
| ~ v1_rmod_5(D,A,B)
| ~ r1_tarski(C,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t2_rmod_5]) ).
fof(f_3445_2,plain,
! [U_8866] :
( ! [U_8865] :
( ! [U_8864] :
( ! [U_8863] :
( v1_rmod_5(U_8864,U_8866,U_8865)
| ~ v1_rmod_5(U_8863,U_8866,U_8865)
| ~ r1_tarski(U_8864,U_8863)
| ~ m1_subset_1(U_8863,k1_zfmisc_1(u1_struct_0(U_8865))) )
| ~ m1_subset_1(U_8864,k1_zfmisc_1(u1_struct_0(U_8865))) )
| ~ l1_vectsp_2(U_8865,U_8866)
| ~ v5_vectsp_2(U_8865,U_8866)
| ~ v6_rlvect_1(U_8865)
| ~ v5_rlvect_1(U_8865)
| ~ v4_rlvect_1(U_8865)
| ~ v3_rlvect_1(U_8865)
| v3_struct_0(U_8865) )
| ~ l3_vectsp_1(U_8866)
| ~ v8_vectsp_1(U_8866)
| ~ v7_vectsp_1(U_8866)
| ~ v6_vectsp_1(U_8866)
| ~ v4_group_1(U_8866)
| ~ v6_rlvect_1(U_8866)
| ~ v5_rlvect_1(U_8866)
| ~ v4_rlvect_1(U_8866)
| ~ v3_rlvect_1(U_8866)
| v3_struct_0(U_8866) ),
inference(variable_rename,[status(thm)],[f_3445_1]) ).
fof(f_3445_3,plain,
! [U_8864,U_8866,U_8863,U_8865] :
( v1_rmod_5(U_8864,U_8866,U_8865)
| ~ v1_rmod_5(U_8863,U_8866,U_8865)
| ~ r1_tarski(U_8864,U_8863)
| ~ m1_subset_1(U_8863,k1_zfmisc_1(u1_struct_0(U_8865)))
| ~ m1_subset_1(U_8864,k1_zfmisc_1(u1_struct_0(U_8865)))
| ~ l1_vectsp_2(U_8865,U_8866)
| ~ v5_vectsp_2(U_8865,U_8866)
| ~ v6_rlvect_1(U_8865)
| ~ v5_rlvect_1(U_8865)
| ~ v4_rlvect_1(U_8865)
| ~ v3_rlvect_1(U_8865)
| v3_struct_0(U_8865)
| ~ l3_vectsp_1(U_8866)
| ~ v8_vectsp_1(U_8866)
| ~ v7_vectsp_1(U_8866)
| ~ v6_vectsp_1(U_8866)
| ~ v4_group_1(U_8866)
| ~ v6_rlvect_1(U_8866)
| ~ v5_rlvect_1(U_8866)
| ~ v4_rlvect_1(U_8866)
| ~ v3_rlvect_1(U_8866)
| v3_struct_0(U_8866) ),
inference(definitional_conversion,[status(esa)],[f_3445_2]) ).
cnf(f_3445_4,plain,
( v1_rmod_5(U_8864,U_8866,U_8865)
| ~ v1_rmod_5(U_8863,U_8866,U_8865)
| ~ r1_tarski(U_8864,U_8863)
| ~ m1_subset_1(U_8863,k1_zfmisc_1(u1_struct_0(U_8865)))
| ~ m1_subset_1(U_8864,k1_zfmisc_1(u1_struct_0(U_8865)))
| ~ l1_vectsp_2(U_8865,U_8866)
| ~ v5_vectsp_2(U_8865,U_8866)
| ~ v6_rlvect_1(U_8865)
| ~ v5_rlvect_1(U_8865)
| ~ v4_rlvect_1(U_8865)
| ~ v3_rlvect_1(U_8865)
| v3_struct_0(U_8865)
| ~ l3_vectsp_1(U_8866)
| ~ v8_vectsp_1(U_8866)
| ~ v7_vectsp_1(U_8866)
| ~ v6_vectsp_1(U_8866)
| ~ v4_group_1(U_8866)
| ~ v6_rlvect_1(U_8866)
| ~ v5_rlvect_1(U_8866)
| ~ v4_rlvect_1(U_8866)
| ~ v3_rlvect_1(U_8866)
| v3_struct_0(U_8866) ),
inference(clausify,[status(thm)],[f_3445_3]) ).
fof(f_3446_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ~ r2_hidden(k1_rlvect_1(B),C)
| ~ v1_rmod_5(C,A,B)
| k1_rlvect_1(A) = k2_group_1(A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t3_rmod_5]) ).
fof(f_3446_2,plain,
! [U_8869] :
( ! [U_8868] :
( ! [U_8867] :
( ~ r2_hidden(k1_rlvect_1(U_8868),U_8867)
| ~ v1_rmod_5(U_8867,U_8869,U_8868)
| k1_rlvect_1(U_8869) = k2_group_1(U_8869)
| ~ m1_subset_1(U_8867,k1_zfmisc_1(u1_struct_0(U_8868))) )
| ~ l1_vectsp_2(U_8868,U_8869)
| ~ v5_vectsp_2(U_8868,U_8869)
| ~ v6_rlvect_1(U_8868)
| ~ v5_rlvect_1(U_8868)
| ~ v4_rlvect_1(U_8868)
| ~ v3_rlvect_1(U_8868)
| v3_struct_0(U_8868) )
| ~ l3_vectsp_1(U_8869)
| ~ v8_vectsp_1(U_8869)
| ~ v7_vectsp_1(U_8869)
| ~ v6_vectsp_1(U_8869)
| ~ v4_group_1(U_8869)
| ~ v6_rlvect_1(U_8869)
| ~ v5_rlvect_1(U_8869)
| ~ v4_rlvect_1(U_8869)
| ~ v3_rlvect_1(U_8869)
| v3_struct_0(U_8869) ),
inference(variable_rename,[status(thm)],[f_3446_1]) ).
fof(f_3446_3,plain,
! [U_8867,U_8869,U_8868] :
( ~ r2_hidden(k1_rlvect_1(U_8868),U_8867)
| ~ v1_rmod_5(U_8867,U_8869,U_8868)
| k1_rlvect_1(U_8869) = k2_group_1(U_8869)
| ~ m1_subset_1(U_8867,k1_zfmisc_1(u1_struct_0(U_8868)))
| ~ l1_vectsp_2(U_8868,U_8869)
| ~ v5_vectsp_2(U_8868,U_8869)
| ~ v6_rlvect_1(U_8868)
| ~ v5_rlvect_1(U_8868)
| ~ v4_rlvect_1(U_8868)
| ~ v3_rlvect_1(U_8868)
| v3_struct_0(U_8868)
| ~ l3_vectsp_1(U_8869)
| ~ v8_vectsp_1(U_8869)
| ~ v7_vectsp_1(U_8869)
| ~ v6_vectsp_1(U_8869)
| ~ v4_group_1(U_8869)
| ~ v6_rlvect_1(U_8869)
| ~ v5_rlvect_1(U_8869)
| ~ v4_rlvect_1(U_8869)
| ~ v3_rlvect_1(U_8869)
| v3_struct_0(U_8869) ),
inference(definitional_conversion,[status(esa)],[f_3446_2]) ).
cnf(f_3446_4,plain,
( ~ r2_hidden(k1_rlvect_1(U_8868),U_8867)
| ~ v1_rmod_5(U_8867,U_8869,U_8868)
| k1_rlvect_1(U_8869) = k2_group_1(U_8869)
| ~ m1_subset_1(U_8867,k1_zfmisc_1(u1_struct_0(U_8868)))
| ~ l1_vectsp_2(U_8868,U_8869)
| ~ v5_vectsp_2(U_8868,U_8869)
| ~ v6_rlvect_1(U_8868)
| ~ v5_rlvect_1(U_8868)
| ~ v4_rlvect_1(U_8868)
| ~ v3_rlvect_1(U_8868)
| v3_struct_0(U_8868)
| ~ l3_vectsp_1(U_8869)
| ~ v8_vectsp_1(U_8869)
| ~ v7_vectsp_1(U_8869)
| ~ v6_vectsp_1(U_8869)
| ~ v4_group_1(U_8869)
| ~ v6_rlvect_1(U_8869)
| ~ v5_rlvect_1(U_8869)
| ~ v4_rlvect_1(U_8869)
| ~ v3_rlvect_1(U_8869)
| v3_struct_0(U_8869) ),
inference(clausify,[status(thm)],[f_3446_3]) ).
fof(f_3447_1,plain,
! [A] :
( ! [B] :
( v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t4_rmod_5]) ).
fof(f_3447_2,plain,
! [U_8871] :
( ! [U_8870] :
( v1_rmod_5(k1_subset_1(u1_struct_0(U_8870)),U_8871,U_8870)
| ~ l1_vectsp_2(U_8870,U_8871)
| ~ v5_vectsp_2(U_8870,U_8871)
| ~ v6_rlvect_1(U_8870)
| ~ v5_rlvect_1(U_8870)
| ~ v4_rlvect_1(U_8870)
| ~ v3_rlvect_1(U_8870)
| v3_struct_0(U_8870) )
| ~ l3_vectsp_1(U_8871)
| ~ v8_vectsp_1(U_8871)
| ~ v7_vectsp_1(U_8871)
| ~ v6_vectsp_1(U_8871)
| ~ v4_group_1(U_8871)
| ~ v6_rlvect_1(U_8871)
| ~ v5_rlvect_1(U_8871)
| ~ v4_rlvect_1(U_8871)
| ~ v3_rlvect_1(U_8871)
| v3_struct_0(U_8871) ),
inference(variable_rename,[status(thm)],[f_3447_1]) ).
fof(f_3447_3,plain,
! [U_8871,U_8870] :
( v1_rmod_5(k1_subset_1(u1_struct_0(U_8870)),U_8871,U_8870)
| ~ l1_vectsp_2(U_8870,U_8871)
| ~ v5_vectsp_2(U_8870,U_8871)
| ~ v6_rlvect_1(U_8870)
| ~ v5_rlvect_1(U_8870)
| ~ v4_rlvect_1(U_8870)
| ~ v3_rlvect_1(U_8870)
| v3_struct_0(U_8870)
| ~ l3_vectsp_1(U_8871)
| ~ v8_vectsp_1(U_8871)
| ~ v7_vectsp_1(U_8871)
| ~ v6_vectsp_1(U_8871)
| ~ v4_group_1(U_8871)
| ~ v6_rlvect_1(U_8871)
| ~ v5_rlvect_1(U_8871)
| ~ v4_rlvect_1(U_8871)
| ~ v3_rlvect_1(U_8871)
| v3_struct_0(U_8871) ),
inference(definitional_conversion,[status(esa)],[f_3447_2]) ).
cnf(f_3447_4,plain,
( v1_rmod_5(k1_subset_1(u1_struct_0(U_8870)),U_8871,U_8870)
| ~ l1_vectsp_2(U_8870,U_8871)
| ~ v5_vectsp_2(U_8870,U_8871)
| ~ v6_rlvect_1(U_8870)
| ~ v5_rlvect_1(U_8870)
| ~ v4_rlvect_1(U_8870)
| ~ v3_rlvect_1(U_8870)
| v3_struct_0(U_8870)
| ~ l3_vectsp_1(U_8871)
| ~ v8_vectsp_1(U_8871)
| ~ v7_vectsp_1(U_8871)
| ~ v6_vectsp_1(U_8871)
| ~ v4_group_1(U_8871)
| ~ v6_rlvect_1(U_8871)
| ~ v5_rlvect_1(U_8871)
| ~ v4_rlvect_1(U_8871)
| ~ v3_rlvect_1(U_8871)
| v3_struct_0(U_8871) ),
inference(clausify,[status(thm)],[f_3447_3]) ).
fof(f_3448_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( D != k1_rlvect_1(B)
& C != k1_rlvect_1(B) )
| k1_rlvect_1(A) = k2_group_1(A)
| ~ v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
| ~ m1_subset_1(D,u1_struct_0(B)) )
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_rmod_5]) ).
fof(f_3448_2,plain,
! [U_8875] :
( ! [U_8874] :
( ! [U_8873] :
( ! [U_8872] :
( ( U_8872 != k1_rlvect_1(U_8874)
& U_8873 != k1_rlvect_1(U_8874) )
| k1_rlvect_1(U_8875) = k2_group_1(U_8875)
| ~ v1_rmod_5(k8_rlvect_2(U_8874,U_8873,U_8872),U_8875,U_8874)
| ~ m1_subset_1(U_8872,u1_struct_0(U_8874)) )
| ~ m1_subset_1(U_8873,u1_struct_0(U_8874)) )
| ~ l1_vectsp_2(U_8874,U_8875)
| ~ v5_vectsp_2(U_8874,U_8875)
| ~ v6_rlvect_1(U_8874)
| ~ v5_rlvect_1(U_8874)
| ~ v4_rlvect_1(U_8874)
| ~ v3_rlvect_1(U_8874)
| v3_struct_0(U_8874) )
| ~ l3_vectsp_1(U_8875)
| ~ v8_vectsp_1(U_8875)
| ~ v7_vectsp_1(U_8875)
| ~ v6_vectsp_1(U_8875)
| ~ v4_group_1(U_8875)
| ~ v6_rlvect_1(U_8875)
| ~ v5_rlvect_1(U_8875)
| ~ v4_rlvect_1(U_8875)
| ~ v3_rlvect_1(U_8875)
| v3_struct_0(U_8875) ),
inference(variable_rename,[status(thm)],[f_3448_1]) ).
fof(f_3448_3,plain,
( ! [U_8872,U_8873,U_8874] :
( U_8872 != k1_rlvect_1(U_8874)
| ~ sP1536(U_8872,U_8873,U_8874) )
& ! [U_8872,U_8873,U_8874] :
( U_8873 != k1_rlvect_1(U_8874)
| ~ sP1536(U_8872,U_8873,U_8874) )
& ! [U_8872,U_8873,U_8875,U_8874] :
( sP1536(U_8872,U_8873,U_8874)
| k1_rlvect_1(U_8875) = k2_group_1(U_8875)
| ~ v1_rmod_5(k8_rlvect_2(U_8874,U_8873,U_8872),U_8875,U_8874)
| ~ m1_subset_1(U_8872,u1_struct_0(U_8874))
| ~ m1_subset_1(U_8873,u1_struct_0(U_8874))
| ~ l1_vectsp_2(U_8874,U_8875)
| ~ v5_vectsp_2(U_8874,U_8875)
| ~ v6_rlvect_1(U_8874)
| ~ v5_rlvect_1(U_8874)
| ~ v4_rlvect_1(U_8874)
| ~ v3_rlvect_1(U_8874)
| v3_struct_0(U_8874)
| ~ l3_vectsp_1(U_8875)
| ~ v8_vectsp_1(U_8875)
| ~ v7_vectsp_1(U_8875)
| ~ v6_vectsp_1(U_8875)
| ~ v4_group_1(U_8875)
| ~ v6_rlvect_1(U_8875)
| ~ v5_rlvect_1(U_8875)
| ~ v4_rlvect_1(U_8875)
| ~ v3_rlvect_1(U_8875)
| v3_struct_0(U_8875) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1536])],[f_3448_2]) ).
cnf(f_3448_4,plain,
( sP1536(U_8872,U_8873,U_8874)
| k1_rlvect_1(U_8875) = k2_group_1(U_8875)
| ~ v1_rmod_5(k8_rlvect_2(U_8874,U_8873,U_8872),U_8875,U_8874)
| ~ m1_subset_1(U_8872,u1_struct_0(U_8874))
| ~ m1_subset_1(U_8873,u1_struct_0(U_8874))
| ~ l1_vectsp_2(U_8874,U_8875)
| ~ v5_vectsp_2(U_8874,U_8875)
| ~ v6_rlvect_1(U_8874)
| ~ v5_rlvect_1(U_8874)
| ~ v4_rlvect_1(U_8874)
| ~ v3_rlvect_1(U_8874)
| v3_struct_0(U_8874)
| ~ l3_vectsp_1(U_8875)
| ~ v8_vectsp_1(U_8875)
| ~ v7_vectsp_1(U_8875)
| ~ v6_vectsp_1(U_8875)
| ~ v4_group_1(U_8875)
| ~ v6_rlvect_1(U_8875)
| ~ v5_rlvect_1(U_8875)
| ~ v4_rlvect_1(U_8875)
| ~ v3_rlvect_1(U_8875)
| v3_struct_0(U_8875) ),
inference(clausify,[status(thm)],[f_3448_3]) ).
cnf(f_3448_5,plain,
( U_8873 != k1_rlvect_1(U_8874)
| ~ sP1536(U_8872,U_8873,U_8874) ),
inference(clausify,[status(thm)],[f_3448_3]) ).
cnf(f_3448_6,plain,
( U_8872 != k1_rlvect_1(U_8874)
| ~ sP1536(U_8872,U_8873,U_8874) ),
inference(clausify,[status(thm)],[f_3448_3]) ).
fof(f_3449_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)
& ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) )
| k1_rlvect_1(A) = k2_group_1(A)
| ~ m1_subset_1(C,u1_struct_0(B)) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t6_rmod_5]) ).
fof(f_3449_2,plain,
! [U_8878] :
( ! [U_8877] :
( ! [U_8876] :
( ( ~ v1_rmod_5(k8_rlvect_2(U_8877,k1_rlvect_1(U_8877),U_8876),U_8878,U_8877)
& ~ v1_rmod_5(k8_rlvect_2(U_8877,U_8876,k1_rlvect_1(U_8877)),U_8878,U_8877) )
| k1_rlvect_1(U_8878) = k2_group_1(U_8878)
| ~ m1_subset_1(U_8876,u1_struct_0(U_8877)) )
| ~ l1_vectsp_2(U_8877,U_8878)
| ~ v5_vectsp_2(U_8877,U_8878)
| ~ v6_rlvect_1(U_8877)
| ~ v5_rlvect_1(U_8877)
| ~ v4_rlvect_1(U_8877)
| ~ v3_rlvect_1(U_8877)
| v3_struct_0(U_8877) )
| ~ l3_vectsp_1(U_8878)
| ~ v8_vectsp_1(U_8878)
| ~ v7_vectsp_1(U_8878)
| ~ v6_vectsp_1(U_8878)
| ~ v4_group_1(U_8878)
| ~ v6_rlvect_1(U_8878)
| ~ v5_rlvect_1(U_8878)
| ~ v4_rlvect_1(U_8878)
| ~ v3_rlvect_1(U_8878)
| v3_struct_0(U_8878) ),
inference(variable_rename,[status(thm)],[f_3449_1]) ).
fof(f_3449_3,plain,
( ! [U_8876,U_8877,U_8878] :
( ~ v1_rmod_5(k8_rlvect_2(U_8877,k1_rlvect_1(U_8877),U_8876),U_8878,U_8877)
| ~ sP1537(U_8876,U_8877,U_8878) )
& ! [U_8876,U_8877,U_8878] :
( ~ v1_rmod_5(k8_rlvect_2(U_8877,U_8876,k1_rlvect_1(U_8877)),U_8878,U_8877)
| ~ sP1537(U_8876,U_8877,U_8878) )
& ! [U_8876,U_8877,U_8878] :
( sP1537(U_8876,U_8877,U_8878)
| k1_rlvect_1(U_8878) = k2_group_1(U_8878)
| ~ m1_subset_1(U_8876,u1_struct_0(U_8877))
| ~ l1_vectsp_2(U_8877,U_8878)
| ~ v5_vectsp_2(U_8877,U_8878)
| ~ v6_rlvect_1(U_8877)
| ~ v5_rlvect_1(U_8877)
| ~ v4_rlvect_1(U_8877)
| ~ v3_rlvect_1(U_8877)
| v3_struct_0(U_8877)
| ~ l3_vectsp_1(U_8878)
| ~ v8_vectsp_1(U_8878)
| ~ v7_vectsp_1(U_8878)
| ~ v6_vectsp_1(U_8878)
| ~ v4_group_1(U_8878)
| ~ v6_rlvect_1(U_8878)
| ~ v5_rlvect_1(U_8878)
| ~ v4_rlvect_1(U_8878)
| ~ v3_rlvect_1(U_8878)
| v3_struct_0(U_8878) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1537])],[f_3449_2]) ).
cnf(f_3449_4,plain,
( sP1537(U_8876,U_8877,U_8878)
| k1_rlvect_1(U_8878) = k2_group_1(U_8878)
| ~ m1_subset_1(U_8876,u1_struct_0(U_8877))
| ~ l1_vectsp_2(U_8877,U_8878)
| ~ v5_vectsp_2(U_8877,U_8878)
| ~ v6_rlvect_1(U_8877)
| ~ v5_rlvect_1(U_8877)
| ~ v4_rlvect_1(U_8877)
| ~ v3_rlvect_1(U_8877)
| v3_struct_0(U_8877)
| ~ l3_vectsp_1(U_8878)
| ~ v8_vectsp_1(U_8878)
| ~ v7_vectsp_1(U_8878)
| ~ v6_vectsp_1(U_8878)
| ~ v4_group_1(U_8878)
| ~ v6_rlvect_1(U_8878)
| ~ v5_rlvect_1(U_8878)
| ~ v4_rlvect_1(U_8878)
| ~ v3_rlvect_1(U_8878)
| v3_struct_0(U_8878) ),
inference(clausify,[status(thm)],[f_3449_3]) ).
cnf(f_3449_5,plain,
( ~ v1_rmod_5(k8_rlvect_2(U_8877,U_8876,k1_rlvect_1(U_8877)),U_8878,U_8877)
| ~ sP1537(U_8876,U_8877,U_8878) ),
inference(clausify,[status(thm)],[f_3449_3]) ).
cnf(f_3449_6,plain,
( ~ v1_rmod_5(k8_rlvect_2(U_8877,k1_rlvect_1(U_8877),U_8876),U_8878,U_8877)
| ~ sP1537(U_8876,U_8877,U_8878) ),
inference(clausify,[status(thm)],[f_3449_3]) ).
fof(f_3450_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k1_rmod_5(A,B,C)
| u1_struct_0(D) != a_3_0_rmod_5(A,B,C) )
& ( u1_struct_0(D) = a_3_0_rmod_5(A,B,C)
| D != k1_rmod_5(A,B,C) ) )
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d2_rmod_5]) ).
fof(f_3450_2,plain,
! [U_8882] :
( ! [U_8881] :
( ! [U_8880] :
( ! [U_8879] :
( ( ( U_8879 = k1_rmod_5(U_8882,U_8881,U_8880)
| u1_struct_0(U_8879) != a_3_0_rmod_5(U_8882,U_8881,U_8880) )
& ( u1_struct_0(U_8879) = a_3_0_rmod_5(U_8882,U_8881,U_8880)
| U_8879 != k1_rmod_5(U_8882,U_8881,U_8880) ) )
| ~ m1_rmod_2(U_8879,U_8882,U_8881)
| ~ v3_vectsp_2(U_8879,U_8882) )
| ~ m1_subset_1(U_8880,k1_zfmisc_1(u1_struct_0(U_8881))) )
| ~ l1_vectsp_2(U_8881,U_8882)
| ~ v5_vectsp_2(U_8881,U_8882)
| ~ v6_rlvect_1(U_8881)
| ~ v5_rlvect_1(U_8881)
| ~ v4_rlvect_1(U_8881)
| ~ v3_rlvect_1(U_8881)
| v3_struct_0(U_8881) )
| ~ l3_vectsp_1(U_8882)
| ~ v2_vectsp_2(U_8882)
| v10_vectsp_1(U_8882)
| ~ v8_vectsp_1(U_8882)
| ~ v7_vectsp_1(U_8882)
| ~ v6_vectsp_1(U_8882)
| ~ v7_group_1(U_8882)
| ~ v4_group_1(U_8882)
| ~ v6_rlvect_1(U_8882)
| ~ v5_rlvect_1(U_8882)
| ~ v4_rlvect_1(U_8882)
| ~ v3_rlvect_1(U_8882)
| v3_struct_0(U_8882) ),
inference(variable_rename,[status(thm)],[f_3450_1]) ).
fof(f_3450_3,plain,
( ! [U_8881,U_8880,U_8882,U_8879] :
( U_8879 = k1_rmod_5(U_8882,U_8881,U_8880)
| u1_struct_0(U_8879) != a_3_0_rmod_5(U_8882,U_8881,U_8880)
| ~ sP1538(U_8881,U_8880,U_8882,U_8879) )
& ! [U_8881,U_8880,U_8882,U_8879] :
( u1_struct_0(U_8879) = a_3_0_rmod_5(U_8882,U_8881,U_8880)
| U_8879 != k1_rmod_5(U_8882,U_8881,U_8880)
| ~ sP1538(U_8881,U_8880,U_8882,U_8879) )
& ! [U_8881,U_8880,U_8882,U_8879] :
( sP1538(U_8881,U_8880,U_8882,U_8879)
| ~ m1_rmod_2(U_8879,U_8882,U_8881)
| ~ v3_vectsp_2(U_8879,U_8882)
| ~ m1_subset_1(U_8880,k1_zfmisc_1(u1_struct_0(U_8881)))
| ~ l1_vectsp_2(U_8881,U_8882)
| ~ v5_vectsp_2(U_8881,U_8882)
| ~ v6_rlvect_1(U_8881)
| ~ v5_rlvect_1(U_8881)
| ~ v4_rlvect_1(U_8881)
| ~ v3_rlvect_1(U_8881)
| v3_struct_0(U_8881)
| ~ l3_vectsp_1(U_8882)
| ~ v2_vectsp_2(U_8882)
| v10_vectsp_1(U_8882)
| ~ v8_vectsp_1(U_8882)
| ~ v7_vectsp_1(U_8882)
| ~ v6_vectsp_1(U_8882)
| ~ v7_group_1(U_8882)
| ~ v4_group_1(U_8882)
| ~ v6_rlvect_1(U_8882)
| ~ v5_rlvect_1(U_8882)
| ~ v4_rlvect_1(U_8882)
| ~ v3_rlvect_1(U_8882)
| v3_struct_0(U_8882) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1538])],[f_3450_2]) ).
cnf(f_3450_4,plain,
( sP1538(U_8881,U_8880,U_8882,U_8879)
| ~ m1_rmod_2(U_8879,U_8882,U_8881)
| ~ v3_vectsp_2(U_8879,U_8882)
| ~ m1_subset_1(U_8880,k1_zfmisc_1(u1_struct_0(U_8881)))
| ~ l1_vectsp_2(U_8881,U_8882)
| ~ v5_vectsp_2(U_8881,U_8882)
| ~ v6_rlvect_1(U_8881)
| ~ v5_rlvect_1(U_8881)
| ~ v4_rlvect_1(U_8881)
| ~ v3_rlvect_1(U_8881)
| v3_struct_0(U_8881)
| ~ l3_vectsp_1(U_8882)
| ~ v2_vectsp_2(U_8882)
| v10_vectsp_1(U_8882)
| ~ v8_vectsp_1(U_8882)
| ~ v7_vectsp_1(U_8882)
| ~ v6_vectsp_1(U_8882)
| ~ v7_group_1(U_8882)
| ~ v4_group_1(U_8882)
| ~ v6_rlvect_1(U_8882)
| ~ v5_rlvect_1(U_8882)
| ~ v4_rlvect_1(U_8882)
| ~ v3_rlvect_1(U_8882)
| v3_struct_0(U_8882) ),
inference(clausify,[status(thm)],[f_3450_3]) ).
cnf(f_3450_5,plain,
( u1_struct_0(U_8879) = a_3_0_rmod_5(U_8882,U_8881,U_8880)
| U_8879 != k1_rmod_5(U_8882,U_8881,U_8880)
| ~ sP1538(U_8881,U_8880,U_8882,U_8879) ),
inference(clausify,[status(thm)],[f_3450_3]) ).
cnf(f_3450_6,plain,
( U_8879 = k1_rmod_5(U_8882,U_8881,U_8880)
| u1_struct_0(U_8879) != a_3_0_rmod_5(U_8882,U_8881,U_8880)
| ~ sP1538(U_8881,U_8880,U_8882,U_8879) ),
inference(clausify,[status(thm)],[f_3450_3]) ).
fof(f_3451_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t7_rmod_5]) ).
fof(f_3451_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3451_1]) ).
cnf(f_3451_3,plain,
$true,
inference(clausify,[status(thm)],[f_3451_2]) ).
fof(f_3452_1,plain,
$true,
inference(fof_nnf,[status(thm)],[t8_rmod_5]) ).
fof(f_3452_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_3452_1]) ).
cnf(f_3452_3,plain,
$true,
inference(clausify,[status(thm)],[f_3452_2]) ).
fof(f_3453_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( ( ( r1_rlvect_1(k1_rmod_5(B,C,D),A)
| ! [E] :
( A != k5_rmod_4(B,C,E)
| ~ m2_rmod_4(E,B,C,D) ) )
& ( ? [E] :
( A = k5_rmod_4(B,C,E)
& m2_rmod_4(E,B,C,D) )
| ~ r1_rlvect_1(k1_rmod_5(B,C,D),A) ) )
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) )
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v2_vectsp_2(B)
| v10_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v7_group_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[t9_rmod_5]) ).
fof(f_3453_2,plain,
! [U_8888,U_8887] :
( ! [U_8886] :
( ! [U_8885] :
( ( ( r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888)
| ! [U_8884] :
( U_8888 != k5_rmod_4(U_8887,U_8886,U_8884)
| ~ m2_rmod_4(U_8884,U_8887,U_8886,U_8885) ) )
& ( ? [U_8883] :
( U_8888 = k5_rmod_4(U_8887,U_8886,U_8883)
& m2_rmod_4(U_8883,U_8887,U_8886,U_8885) )
| ~ r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888) ) )
| ~ m1_subset_1(U_8885,k1_zfmisc_1(u1_struct_0(U_8886))) )
| ~ l1_vectsp_2(U_8886,U_8887)
| ~ v5_vectsp_2(U_8886,U_8887)
| ~ v6_rlvect_1(U_8886)
| ~ v5_rlvect_1(U_8886)
| ~ v4_rlvect_1(U_8886)
| ~ v3_rlvect_1(U_8886)
| v3_struct_0(U_8886) )
| ~ l3_vectsp_1(U_8887)
| ~ v2_vectsp_2(U_8887)
| v10_vectsp_1(U_8887)
| ~ v8_vectsp_1(U_8887)
| ~ v7_vectsp_1(U_8887)
| ~ v6_vectsp_1(U_8887)
| ~ v7_group_1(U_8887)
| ~ v4_group_1(U_8887)
| ~ v6_rlvect_1(U_8887)
| ~ v5_rlvect_1(U_8887)
| ~ v4_rlvect_1(U_8887)
| ~ v3_rlvect_1(U_8887)
| v3_struct_0(U_8887) ),
inference(variable_rename,[status(thm)],[f_3453_1]) ).
fof(f_3453_3,plain,
! [U_8888,U_8887] :
( ! [U_8886] :
( ! [U_8885] :
( ( ( r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888)
| ! [U_8884] :
( U_8888 != k5_rmod_4(U_8887,U_8886,U_8884)
| ~ m2_rmod_4(U_8884,U_8887,U_8886,U_8885) ) )
& ( ( U_8888 = k5_rmod_4(U_8887,U_8886,sK1004(U_8888,U_8887,U_8886,U_8885))
& m2_rmod_4(sK1004(U_8888,U_8887,U_8886,U_8885),U_8887,U_8886,U_8885) )
| ~ r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888) ) )
| ~ m1_subset_1(U_8885,k1_zfmisc_1(u1_struct_0(U_8886))) )
| ~ l1_vectsp_2(U_8886,U_8887)
| ~ v5_vectsp_2(U_8886,U_8887)
| ~ v6_rlvect_1(U_8886)
| ~ v5_rlvect_1(U_8886)
| ~ v4_rlvect_1(U_8886)
| ~ v3_rlvect_1(U_8886)
| v3_struct_0(U_8886) )
| ~ l3_vectsp_1(U_8887)
| ~ v2_vectsp_2(U_8887)
| v10_vectsp_1(U_8887)
| ~ v8_vectsp_1(U_8887)
| ~ v7_vectsp_1(U_8887)
| ~ v6_vectsp_1(U_8887)
| ~ v7_group_1(U_8887)
| ~ v4_group_1(U_8887)
| ~ v6_rlvect_1(U_8887)
| ~ v5_rlvect_1(U_8887)
| ~ v4_rlvect_1(U_8887)
| ~ v3_rlvect_1(U_8887)
| v3_struct_0(U_8887) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1004]),skolemize(U_8883,sK1004(U_8888,U_8887,U_8886,U_8885))],[f_3453_2]) ).
fof(f_3453_4,plain,
( ! [U_8887,U_8888,U_8885,U_8886] :
( U_8888 = k5_rmod_4(U_8887,U_8886,sK1004(U_8888,U_8887,U_8886,U_8885))
| ~ sP1539(U_8887,U_8888,U_8885,U_8886) )
& ! [U_8887,U_8888,U_8885,U_8886] :
( m2_rmod_4(sK1004(U_8888,U_8887,U_8886,U_8885),U_8887,U_8886,U_8885)
| ~ sP1539(U_8887,U_8888,U_8885,U_8886) )
& ! [U_8887,U_8884,U_8888,U_8885,U_8886] :
( r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888)
| U_8888 != k5_rmod_4(U_8887,U_8886,U_8884)
| ~ m2_rmod_4(U_8884,U_8887,U_8886,U_8885)
| ~ sP1540(U_8887,U_8884,U_8888,U_8885,U_8886) )
& ! [U_8887,U_8884,U_8888,U_8885,U_8886] :
( sP1539(U_8887,U_8888,U_8885,U_8886)
| ~ r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888)
| ~ sP1540(U_8887,U_8884,U_8888,U_8885,U_8886) )
& ! [U_8887,U_8884,U_8888,U_8885,U_8886] :
( sP1540(U_8887,U_8884,U_8888,U_8885,U_8886)
| ~ m1_subset_1(U_8885,k1_zfmisc_1(u1_struct_0(U_8886)))
| ~ l1_vectsp_2(U_8886,U_8887)
| ~ v5_vectsp_2(U_8886,U_8887)
| ~ v6_rlvect_1(U_8886)
| ~ v5_rlvect_1(U_8886)
| ~ v4_rlvect_1(U_8886)
| ~ v3_rlvect_1(U_8886)
| v3_struct_0(U_8886)
| ~ l3_vectsp_1(U_8887)
| ~ v2_vectsp_2(U_8887)
| v10_vectsp_1(U_8887)
| ~ v8_vectsp_1(U_8887)
| ~ v7_vectsp_1(U_8887)
| ~ v6_vectsp_1(U_8887)
| ~ v7_group_1(U_8887)
| ~ v4_group_1(U_8887)
| ~ v6_rlvect_1(U_8887)
| ~ v5_rlvect_1(U_8887)
| ~ v4_rlvect_1(U_8887)
| ~ v3_rlvect_1(U_8887)
| v3_struct_0(U_8887) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1539,sP1540])],[f_3453_3]) ).
cnf(f_3453_5,plain,
( sP1540(U_8887,U_8884,U_8888,U_8885,U_8886)
| ~ m1_subset_1(U_8885,k1_zfmisc_1(u1_struct_0(U_8886)))
| ~ l1_vectsp_2(U_8886,U_8887)
| ~ v5_vectsp_2(U_8886,U_8887)
| ~ v6_rlvect_1(U_8886)
| ~ v5_rlvect_1(U_8886)
| ~ v4_rlvect_1(U_8886)
| ~ v3_rlvect_1(U_8886)
| v3_struct_0(U_8886)
| ~ l3_vectsp_1(U_8887)
| ~ v2_vectsp_2(U_8887)
| v10_vectsp_1(U_8887)
| ~ v8_vectsp_1(U_8887)
| ~ v7_vectsp_1(U_8887)
| ~ v6_vectsp_1(U_8887)
| ~ v7_group_1(U_8887)
| ~ v4_group_1(U_8887)
| ~ v6_rlvect_1(U_8887)
| ~ v5_rlvect_1(U_8887)
| ~ v4_rlvect_1(U_8887)
| ~ v3_rlvect_1(U_8887)
| v3_struct_0(U_8887) ),
inference(clausify,[status(thm)],[f_3453_4]) ).
cnf(f_3453_6,plain,
( sP1539(U_8887,U_8888,U_8885,U_8886)
| ~ r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888)
| ~ sP1540(U_8887,U_8884,U_8888,U_8885,U_8886) ),
inference(clausify,[status(thm)],[f_3453_4]) ).
cnf(f_3453_7,plain,
( r1_rlvect_1(k1_rmod_5(U_8887,U_8886,U_8885),U_8888)
| U_8888 != k5_rmod_4(U_8887,U_8886,U_8884)
| ~ m2_rmod_4(U_8884,U_8887,U_8886,U_8885)
| ~ sP1540(U_8887,U_8884,U_8888,U_8885,U_8886) ),
inference(clausify,[status(thm)],[f_3453_4]) ).
cnf(f_3453_8,plain,
( m2_rmod_4(sK1004(U_8888,U_8887,U_8886,U_8885),U_8887,U_8886,U_8885)
| ~ sP1539(U_8887,U_8888,U_8885,U_8886) ),
inference(clausify,[status(thm)],[f_3453_4]) ).
cnf(f_3453_9,plain,
( U_8888 = k5_rmod_4(U_8887,U_8886,sK1004(U_8888,U_8887,U_8886,U_8885))
| ~ sP1539(U_8887,U_8888,U_8885,U_8886) ),
inference(clausify,[status(thm)],[f_3453_4]) ).
fof(f_3454_1,plain,
! [A,B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(k1_rmod_5(B,C,D),A)
| ~ r2_hidden(A,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) )
| ~ l1_vectsp_2(C,B)
| ~ v5_vectsp_2(C,B)
| ~ v6_rlvect_1(C)
| ~ v5_rlvect_1(C)
| ~ v4_rlvect_1(C)
| ~ v3_rlvect_1(C)
| v3_struct_0(C) )
| ~ l3_vectsp_1(B)
| ~ v2_vectsp_2(B)
| v10_vectsp_1(B)
| ~ v8_vectsp_1(B)
| ~ v7_vectsp_1(B)
| ~ v6_vectsp_1(B)
| ~ v7_group_1(B)
| ~ v4_group_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[t10_rmod_5]) ).
fof(f_3454_2,plain,
! [U_8892,U_8891] :
( ! [U_8890] :
( ! [U_8889] :
( r1_rlvect_1(k1_rmod_5(U_8891,U_8890,U_8889),U_8892)
| ~ r2_hidden(U_8892,U_8889)
| ~ m1_subset_1(U_8889,k1_zfmisc_1(u1_struct_0(U_8890))) )
| ~ l1_vectsp_2(U_8890,U_8891)
| ~ v5_vectsp_2(U_8890,U_8891)
| ~ v6_rlvect_1(U_8890)
| ~ v5_rlvect_1(U_8890)
| ~ v4_rlvect_1(U_8890)
| ~ v3_rlvect_1(U_8890)
| v3_struct_0(U_8890) )
| ~ l3_vectsp_1(U_8891)
| ~ v2_vectsp_2(U_8891)
| v10_vectsp_1(U_8891)
| ~ v8_vectsp_1(U_8891)
| ~ v7_vectsp_1(U_8891)
| ~ v6_vectsp_1(U_8891)
| ~ v7_group_1(U_8891)
| ~ v4_group_1(U_8891)
| ~ v6_rlvect_1(U_8891)
| ~ v5_rlvect_1(U_8891)
| ~ v4_rlvect_1(U_8891)
| ~ v3_rlvect_1(U_8891)
| v3_struct_0(U_8891) ),
inference(variable_rename,[status(thm)],[f_3454_1]) ).
fof(f_3454_3,plain,
! [U_8890,U_8889,U_8891,U_8892] :
( r1_rlvect_1(k1_rmod_5(U_8891,U_8890,U_8889),U_8892)
| ~ r2_hidden(U_8892,U_8889)
| ~ m1_subset_1(U_8889,k1_zfmisc_1(u1_struct_0(U_8890)))
| ~ l1_vectsp_2(U_8890,U_8891)
| ~ v5_vectsp_2(U_8890,U_8891)
| ~ v6_rlvect_1(U_8890)
| ~ v5_rlvect_1(U_8890)
| ~ v4_rlvect_1(U_8890)
| ~ v3_rlvect_1(U_8890)
| v3_struct_0(U_8890)
| ~ l3_vectsp_1(U_8891)
| ~ v2_vectsp_2(U_8891)
| v10_vectsp_1(U_8891)
| ~ v8_vectsp_1(U_8891)
| ~ v7_vectsp_1(U_8891)
| ~ v6_vectsp_1(U_8891)
| ~ v7_group_1(U_8891)
| ~ v4_group_1(U_8891)
| ~ v6_rlvect_1(U_8891)
| ~ v5_rlvect_1(U_8891)
| ~ v4_rlvect_1(U_8891)
| ~ v3_rlvect_1(U_8891)
| v3_struct_0(U_8891) ),
inference(definitional_conversion,[status(esa)],[f_3454_2]) ).
cnf(f_3454_4,plain,
( r1_rlvect_1(k1_rmod_5(U_8891,U_8890,U_8889),U_8892)
| ~ r2_hidden(U_8892,U_8889)
| ~ m1_subset_1(U_8889,k1_zfmisc_1(u1_struct_0(U_8890)))
| ~ l1_vectsp_2(U_8890,U_8891)
| ~ v5_vectsp_2(U_8890,U_8891)
| ~ v6_rlvect_1(U_8890)
| ~ v5_rlvect_1(U_8890)
| ~ v4_rlvect_1(U_8890)
| ~ v3_rlvect_1(U_8890)
| v3_struct_0(U_8890)
| ~ l3_vectsp_1(U_8891)
| ~ v2_vectsp_2(U_8891)
| v10_vectsp_1(U_8891)
| ~ v8_vectsp_1(U_8891)
| ~ v7_vectsp_1(U_8891)
| ~ v6_vectsp_1(U_8891)
| ~ v7_group_1(U_8891)
| ~ v4_group_1(U_8891)
| ~ v6_rlvect_1(U_8891)
| ~ v5_rlvect_1(U_8891)
| ~ v4_rlvect_1(U_8891)
| ~ v3_rlvect_1(U_8891)
| v3_struct_0(U_8891) ),
inference(clausify,[status(thm)],[f_3454_3]) ).
fof(f_3455_1,plain,
! [A] :
( ! [B] :
( k1_rmod_5(A,B,k1_subset_1(u1_struct_0(B))) = k1_rmod_2(A,B)
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t11_rmod_5]) ).
fof(f_3455_2,plain,
! [U_8894] :
( ! [U_8893] :
( k1_rmod_5(U_8894,U_8893,k1_subset_1(u1_struct_0(U_8893))) = k1_rmod_2(U_8894,U_8893)
| ~ l1_vectsp_2(U_8893,U_8894)
| ~ v5_vectsp_2(U_8893,U_8894)
| ~ v6_rlvect_1(U_8893)
| ~ v5_rlvect_1(U_8893)
| ~ v4_rlvect_1(U_8893)
| ~ v3_rlvect_1(U_8893)
| v3_struct_0(U_8893) )
| ~ l3_vectsp_1(U_8894)
| ~ v2_vectsp_2(U_8894)
| v10_vectsp_1(U_8894)
| ~ v8_vectsp_1(U_8894)
| ~ v7_vectsp_1(U_8894)
| ~ v6_vectsp_1(U_8894)
| ~ v7_group_1(U_8894)
| ~ v4_group_1(U_8894)
| ~ v6_rlvect_1(U_8894)
| ~ v5_rlvect_1(U_8894)
| ~ v4_rlvect_1(U_8894)
| ~ v3_rlvect_1(U_8894)
| v3_struct_0(U_8894) ),
inference(variable_rename,[status(thm)],[f_3455_1]) ).
fof(f_3455_3,plain,
! [U_8893,U_8894] :
( k1_rmod_5(U_8894,U_8893,k1_subset_1(u1_struct_0(U_8893))) = k1_rmod_2(U_8894,U_8893)
| ~ l1_vectsp_2(U_8893,U_8894)
| ~ v5_vectsp_2(U_8893,U_8894)
| ~ v6_rlvect_1(U_8893)
| ~ v5_rlvect_1(U_8893)
| ~ v4_rlvect_1(U_8893)
| ~ v3_rlvect_1(U_8893)
| v3_struct_0(U_8893)
| ~ l3_vectsp_1(U_8894)
| ~ v2_vectsp_2(U_8894)
| v10_vectsp_1(U_8894)
| ~ v8_vectsp_1(U_8894)
| ~ v7_vectsp_1(U_8894)
| ~ v6_vectsp_1(U_8894)
| ~ v7_group_1(U_8894)
| ~ v4_group_1(U_8894)
| ~ v6_rlvect_1(U_8894)
| ~ v5_rlvect_1(U_8894)
| ~ v4_rlvect_1(U_8894)
| ~ v3_rlvect_1(U_8894)
| v3_struct_0(U_8894) ),
inference(definitional_conversion,[status(esa)],[f_3455_2]) ).
cnf(f_3455_4,plain,
( k1_rmod_5(U_8894,U_8893,k1_subset_1(u1_struct_0(U_8893))) = k1_rmod_2(U_8894,U_8893)
| ~ l1_vectsp_2(U_8893,U_8894)
| ~ v5_vectsp_2(U_8893,U_8894)
| ~ v6_rlvect_1(U_8893)
| ~ v5_rlvect_1(U_8893)
| ~ v4_rlvect_1(U_8893)
| ~ v3_rlvect_1(U_8893)
| v3_struct_0(U_8893)
| ~ l3_vectsp_1(U_8894)
| ~ v2_vectsp_2(U_8894)
| v10_vectsp_1(U_8894)
| ~ v8_vectsp_1(U_8894)
| ~ v7_vectsp_1(U_8894)
| ~ v6_vectsp_1(U_8894)
| ~ v7_group_1(U_8894)
| ~ v4_group_1(U_8894)
| ~ v6_rlvect_1(U_8894)
| ~ v5_rlvect_1(U_8894)
| ~ v4_rlvect_1(U_8894)
| ~ v3_rlvect_1(U_8894)
| v3_struct_0(U_8894) ),
inference(clausify,[status(thm)],[f_3455_3]) ).
fof(f_3456_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k7_rlvect_2(B,k1_rlvect_1(B))
| C = k1_xboole_0
| k1_rmod_5(A,B,C) != k1_rmod_2(A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t12_rmod_5]) ).
fof(f_3456_2,plain,
! [U_8897] :
( ! [U_8896] :
( ! [U_8895] :
( U_8895 = k7_rlvect_2(U_8896,k1_rlvect_1(U_8896))
| U_8895 = k1_xboole_0
| k1_rmod_5(U_8897,U_8896,U_8895) != k1_rmod_2(U_8897,U_8896)
| ~ m1_subset_1(U_8895,k1_zfmisc_1(u1_struct_0(U_8896))) )
| ~ l1_vectsp_2(U_8896,U_8897)
| ~ v5_vectsp_2(U_8896,U_8897)
| ~ v6_rlvect_1(U_8896)
| ~ v5_rlvect_1(U_8896)
| ~ v4_rlvect_1(U_8896)
| ~ v3_rlvect_1(U_8896)
| v3_struct_0(U_8896) )
| ~ l3_vectsp_1(U_8897)
| ~ v2_vectsp_2(U_8897)
| v10_vectsp_1(U_8897)
| ~ v8_vectsp_1(U_8897)
| ~ v7_vectsp_1(U_8897)
| ~ v6_vectsp_1(U_8897)
| ~ v7_group_1(U_8897)
| ~ v4_group_1(U_8897)
| ~ v6_rlvect_1(U_8897)
| ~ v5_rlvect_1(U_8897)
| ~ v4_rlvect_1(U_8897)
| ~ v3_rlvect_1(U_8897)
| v3_struct_0(U_8897) ),
inference(variable_rename,[status(thm)],[f_3456_1]) ).
fof(f_3456_3,plain,
! [U_8897,U_8895,U_8896] :
( U_8895 = k7_rlvect_2(U_8896,k1_rlvect_1(U_8896))
| U_8895 = k1_xboole_0
| k1_rmod_5(U_8897,U_8896,U_8895) != k1_rmod_2(U_8897,U_8896)
| ~ m1_subset_1(U_8895,k1_zfmisc_1(u1_struct_0(U_8896)))
| ~ l1_vectsp_2(U_8896,U_8897)
| ~ v5_vectsp_2(U_8896,U_8897)
| ~ v6_rlvect_1(U_8896)
| ~ v5_rlvect_1(U_8896)
| ~ v4_rlvect_1(U_8896)
| ~ v3_rlvect_1(U_8896)
| v3_struct_0(U_8896)
| ~ l3_vectsp_1(U_8897)
| ~ v2_vectsp_2(U_8897)
| v10_vectsp_1(U_8897)
| ~ v8_vectsp_1(U_8897)
| ~ v7_vectsp_1(U_8897)
| ~ v6_vectsp_1(U_8897)
| ~ v7_group_1(U_8897)
| ~ v4_group_1(U_8897)
| ~ v6_rlvect_1(U_8897)
| ~ v5_rlvect_1(U_8897)
| ~ v4_rlvect_1(U_8897)
| ~ v3_rlvect_1(U_8897)
| v3_struct_0(U_8897) ),
inference(definitional_conversion,[status(esa)],[f_3456_2]) ).
cnf(f_3456_4,plain,
( U_8895 = k7_rlvect_2(U_8896,k1_rlvect_1(U_8896))
| U_8895 = k1_xboole_0
| k1_rmod_5(U_8897,U_8896,U_8895) != k1_rmod_2(U_8897,U_8896)
| ~ m1_subset_1(U_8895,k1_zfmisc_1(u1_struct_0(U_8896)))
| ~ l1_vectsp_2(U_8896,U_8897)
| ~ v5_vectsp_2(U_8896,U_8897)
| ~ v6_rlvect_1(U_8896)
| ~ v5_rlvect_1(U_8896)
| ~ v4_rlvect_1(U_8896)
| ~ v3_rlvect_1(U_8896)
| v3_struct_0(U_8896)
| ~ l3_vectsp_1(U_8897)
| ~ v2_vectsp_2(U_8897)
| v10_vectsp_1(U_8897)
| ~ v8_vectsp_1(U_8897)
| ~ v7_vectsp_1(U_8897)
| ~ v6_vectsp_1(U_8897)
| ~ v7_group_1(U_8897)
| ~ v4_group_1(U_8897)
| ~ v6_rlvect_1(U_8897)
| ~ v5_rlvect_1(U_8897)
| ~ v4_rlvect_1(U_8897)
| ~ v3_rlvect_1(U_8897)
| v3_struct_0(U_8897) ),
inference(clausify,[status(thm)],[f_3456_3]) ).
fof(f_3457_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( k1_rmod_5(A,B,C) = D
| k1_rlvect_1(A) = k2_group_1(A)
| C != u1_struct_0(D)
| ~ m1_rmod_2(D,A,B)
| ~ v3_vectsp_2(D,A) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t13_rmod_5]) ).
fof(f_3457_2,plain,
! [U_8901] :
( ! [U_8900] :
( ! [U_8899] :
( ! [U_8898] :
( k1_rmod_5(U_8901,U_8900,U_8899) = U_8898
| k1_rlvect_1(U_8901) = k2_group_1(U_8901)
| U_8899 != u1_struct_0(U_8898)
| ~ m1_rmod_2(U_8898,U_8901,U_8900)
| ~ v3_vectsp_2(U_8898,U_8901) )
| ~ m1_subset_1(U_8899,k1_zfmisc_1(u1_struct_0(U_8900))) )
| ~ l1_vectsp_2(U_8900,U_8901)
| ~ v5_vectsp_2(U_8900,U_8901)
| ~ v6_rlvect_1(U_8900)
| ~ v5_rlvect_1(U_8900)
| ~ v4_rlvect_1(U_8900)
| ~ v3_rlvect_1(U_8900)
| v3_struct_0(U_8900) )
| ~ l3_vectsp_1(U_8901)
| ~ v2_vectsp_2(U_8901)
| v10_vectsp_1(U_8901)
| ~ v8_vectsp_1(U_8901)
| ~ v7_vectsp_1(U_8901)
| ~ v6_vectsp_1(U_8901)
| ~ v7_group_1(U_8901)
| ~ v4_group_1(U_8901)
| ~ v6_rlvect_1(U_8901)
| ~ v5_rlvect_1(U_8901)
| ~ v4_rlvect_1(U_8901)
| ~ v3_rlvect_1(U_8901)
| v3_struct_0(U_8901) ),
inference(variable_rename,[status(thm)],[f_3457_1]) ).
fof(f_3457_3,plain,
! [U_8898,U_8900,U_8899,U_8901] :
( k1_rmod_5(U_8901,U_8900,U_8899) = U_8898
| k1_rlvect_1(U_8901) = k2_group_1(U_8901)
| U_8899 != u1_struct_0(U_8898)
| ~ m1_rmod_2(U_8898,U_8901,U_8900)
| ~ v3_vectsp_2(U_8898,U_8901)
| ~ m1_subset_1(U_8899,k1_zfmisc_1(u1_struct_0(U_8900)))
| ~ l1_vectsp_2(U_8900,U_8901)
| ~ v5_vectsp_2(U_8900,U_8901)
| ~ v6_rlvect_1(U_8900)
| ~ v5_rlvect_1(U_8900)
| ~ v4_rlvect_1(U_8900)
| ~ v3_rlvect_1(U_8900)
| v3_struct_0(U_8900)
| ~ l3_vectsp_1(U_8901)
| ~ v2_vectsp_2(U_8901)
| v10_vectsp_1(U_8901)
| ~ v8_vectsp_1(U_8901)
| ~ v7_vectsp_1(U_8901)
| ~ v6_vectsp_1(U_8901)
| ~ v7_group_1(U_8901)
| ~ v4_group_1(U_8901)
| ~ v6_rlvect_1(U_8901)
| ~ v5_rlvect_1(U_8901)
| ~ v4_rlvect_1(U_8901)
| ~ v3_rlvect_1(U_8901)
| v3_struct_0(U_8901) ),
inference(definitional_conversion,[status(esa)],[f_3457_2]) ).
cnf(f_3457_4,plain,
( k1_rmod_5(U_8901,U_8900,U_8899) = U_8898
| k1_rlvect_1(U_8901) = k2_group_1(U_8901)
| U_8899 != u1_struct_0(U_8898)
| ~ m1_rmod_2(U_8898,U_8901,U_8900)
| ~ v3_vectsp_2(U_8898,U_8901)
| ~ m1_subset_1(U_8899,k1_zfmisc_1(u1_struct_0(U_8900)))
| ~ l1_vectsp_2(U_8900,U_8901)
| ~ v5_vectsp_2(U_8900,U_8901)
| ~ v6_rlvect_1(U_8900)
| ~ v5_rlvect_1(U_8900)
| ~ v4_rlvect_1(U_8900)
| ~ v3_rlvect_1(U_8900)
| v3_struct_0(U_8900)
| ~ l3_vectsp_1(U_8901)
| ~ v2_vectsp_2(U_8901)
| v10_vectsp_1(U_8901)
| ~ v8_vectsp_1(U_8901)
| ~ v7_vectsp_1(U_8901)
| ~ v6_vectsp_1(U_8901)
| ~ v7_group_1(U_8901)
| ~ v4_group_1(U_8901)
| ~ v6_rlvect_1(U_8901)
| ~ v5_rlvect_1(U_8901)
| ~ v4_rlvect_1(U_8901)
| ~ v3_rlvect_1(U_8901)
| v3_struct_0(U_8901) ),
inference(clausify,[status(thm)],[f_3457_3]) ).
fof(f_3458_1,negated_conjecture,
~ ! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( C = u1_struct_0(B)
=> ( k1_rmod_5(A,B,C) = B
| k1_rlvect_1(A) = k2_group_1(A) ) ) ) ) ),
inference(negate,[status(cth)],[t14_rmod_5]) ).
fof(f_3458_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( k1_rmod_5(A,B,C) != B
& k1_rlvect_1(A) != k2_group_1(A)
& C = u1_struct_0(B)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v3_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
& l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[f_3458_1]) ).
fof(f_3458_3,negated_conjecture,
? [U_8904] :
( ? [U_8903] :
( ? [U_8902] :
( k1_rmod_5(U_8904,U_8903,U_8902) != U_8903
& k1_rlvect_1(U_8904) != k2_group_1(U_8904)
& U_8902 = u1_struct_0(U_8903)
& m1_subset_1(U_8902,k1_zfmisc_1(u1_struct_0(U_8903))) )
& l1_vectsp_2(U_8903,U_8904)
& v5_vectsp_2(U_8903,U_8904)
& v3_vectsp_2(U_8903,U_8904)
& v6_rlvect_1(U_8903)
& v5_rlvect_1(U_8903)
& v4_rlvect_1(U_8903)
& v3_rlvect_1(U_8903)
& ~ v3_struct_0(U_8903) )
& l3_vectsp_1(U_8904)
& v2_vectsp_2(U_8904)
& ~ v10_vectsp_1(U_8904)
& v8_vectsp_1(U_8904)
& v7_vectsp_1(U_8904)
& v6_vectsp_1(U_8904)
& v7_group_1(U_8904)
& v4_group_1(U_8904)
& v6_rlvect_1(U_8904)
& v5_rlvect_1(U_8904)
& v4_rlvect_1(U_8904)
& v3_rlvect_1(U_8904)
& ~ v3_struct_0(U_8904) ),
inference(variable_rename,[status(thm)],[f_3458_2]) ).
fof(f_3458_4,negated_conjecture,
( ? [U_8903] :
( ? [U_8902] :
( k1_rmod_5(sK1005,U_8903,U_8902) != U_8903
& k1_rlvect_1(sK1005) != k2_group_1(sK1005)
& U_8902 = u1_struct_0(U_8903)
& m1_subset_1(U_8902,k1_zfmisc_1(u1_struct_0(U_8903))) )
& l1_vectsp_2(U_8903,sK1005)
& v5_vectsp_2(U_8903,sK1005)
& v3_vectsp_2(U_8903,sK1005)
& v6_rlvect_1(U_8903)
& v5_rlvect_1(U_8903)
& v4_rlvect_1(U_8903)
& v3_rlvect_1(U_8903)
& ~ v3_struct_0(U_8903) )
& l3_vectsp_1(sK1005)
& v2_vectsp_2(sK1005)
& ~ v10_vectsp_1(sK1005)
& v8_vectsp_1(sK1005)
& v7_vectsp_1(sK1005)
& v6_vectsp_1(sK1005)
& v7_group_1(sK1005)
& v4_group_1(sK1005)
& v6_rlvect_1(sK1005)
& v5_rlvect_1(sK1005)
& v4_rlvect_1(sK1005)
& v3_rlvect_1(sK1005)
& ~ v3_struct_0(sK1005) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1005]),skolemize(U_8904,sK1005)],[f_3458_3]) ).
fof(f_3458_5,negated_conjecture,
( ? [U_8902] :
( k1_rmod_5(sK1005,sK1006,U_8902) != sK1006
& k1_rlvect_1(sK1005) != k2_group_1(sK1005)
& U_8902 = u1_struct_0(sK1006)
& m1_subset_1(U_8902,k1_zfmisc_1(u1_struct_0(sK1006))) )
& l1_vectsp_2(sK1006,sK1005)
& v5_vectsp_2(sK1006,sK1005)
& v3_vectsp_2(sK1006,sK1005)
& v6_rlvect_1(sK1006)
& v5_rlvect_1(sK1006)
& v4_rlvect_1(sK1006)
& v3_rlvect_1(sK1006)
& ~ v3_struct_0(sK1006)
& l3_vectsp_1(sK1005)
& v2_vectsp_2(sK1005)
& ~ v10_vectsp_1(sK1005)
& v8_vectsp_1(sK1005)
& v7_vectsp_1(sK1005)
& v6_vectsp_1(sK1005)
& v7_group_1(sK1005)
& v4_group_1(sK1005)
& v6_rlvect_1(sK1005)
& v5_rlvect_1(sK1005)
& v4_rlvect_1(sK1005)
& v3_rlvect_1(sK1005)
& ~ v3_struct_0(sK1005) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1006]),skolemize(U_8903,sK1006)],[f_3458_4]) ).
fof(f_3458_6,negated_conjecture,
( k1_rmod_5(sK1005,sK1006,sK1007) != sK1006
& k1_rlvect_1(sK1005) != k2_group_1(sK1005)
& sK1007 = u1_struct_0(sK1006)
& m1_subset_1(sK1007,k1_zfmisc_1(u1_struct_0(sK1006)))
& l1_vectsp_2(sK1006,sK1005)
& v5_vectsp_2(sK1006,sK1005)
& v3_vectsp_2(sK1006,sK1005)
& v6_rlvect_1(sK1006)
& v5_rlvect_1(sK1006)
& v4_rlvect_1(sK1006)
& v3_rlvect_1(sK1006)
& ~ v3_struct_0(sK1006)
& l3_vectsp_1(sK1005)
& v2_vectsp_2(sK1005)
& ~ v10_vectsp_1(sK1005)
& v8_vectsp_1(sK1005)
& v7_vectsp_1(sK1005)
& v6_vectsp_1(sK1005)
& v7_group_1(sK1005)
& v4_group_1(sK1005)
& v6_rlvect_1(sK1005)
& v5_rlvect_1(sK1005)
& v4_rlvect_1(sK1005)
& v3_rlvect_1(sK1005)
& ~ v3_struct_0(sK1005) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1007]),skolemize(U_8902,sK1007)],[f_3458_5]) ).
fof(f_3458_7,negated_conjecture,
( k1_rmod_5(sK1005,sK1006,sK1007) != sK1006
& k1_rlvect_1(sK1005) != k2_group_1(sK1005)
& sK1007 = u1_struct_0(sK1006)
& m1_subset_1(sK1007,k1_zfmisc_1(u1_struct_0(sK1006)))
& l1_vectsp_2(sK1006,sK1005)
& v5_vectsp_2(sK1006,sK1005)
& v3_vectsp_2(sK1006,sK1005)
& v6_rlvect_1(sK1006)
& v5_rlvect_1(sK1006)
& v4_rlvect_1(sK1006)
& v3_rlvect_1(sK1006)
& ~ v3_struct_0(sK1006)
& l3_vectsp_1(sK1005)
& v2_vectsp_2(sK1005)
& ~ v10_vectsp_1(sK1005)
& v8_vectsp_1(sK1005)
& v7_vectsp_1(sK1005)
& v6_vectsp_1(sK1005)
& v7_group_1(sK1005)
& v4_group_1(sK1005)
& v6_rlvect_1(sK1005)
& v5_rlvect_1(sK1005)
& v4_rlvect_1(sK1005)
& v3_rlvect_1(sK1005)
& ~ v3_struct_0(sK1005) ),
inference(definitional_conversion,[status(esa)],[f_3458_6]) ).
cnf(f_3458_8,negated_conjecture,
~ v3_struct_0(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_9,negated_conjecture,
v3_rlvect_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_10,negated_conjecture,
v4_rlvect_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_11,negated_conjecture,
v5_rlvect_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_12,negated_conjecture,
v6_rlvect_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_13,negated_conjecture,
v4_group_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_14,negated_conjecture,
v7_group_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_15,negated_conjecture,
v6_vectsp_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_16,negated_conjecture,
v7_vectsp_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_17,negated_conjecture,
v8_vectsp_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_18,negated_conjecture,
~ v10_vectsp_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_19,negated_conjecture,
v2_vectsp_2(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_20,negated_conjecture,
l3_vectsp_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_21,negated_conjecture,
~ v3_struct_0(sK1006),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_22,negated_conjecture,
v3_rlvect_1(sK1006),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_23,negated_conjecture,
v4_rlvect_1(sK1006),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_24,negated_conjecture,
v5_rlvect_1(sK1006),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_25,negated_conjecture,
v6_rlvect_1(sK1006),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_26,negated_conjecture,
v3_vectsp_2(sK1006,sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_27,negated_conjecture,
v5_vectsp_2(sK1006,sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_28,negated_conjecture,
l1_vectsp_2(sK1006,sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_29,negated_conjecture,
m1_subset_1(sK1007,k1_zfmisc_1(u1_struct_0(sK1006))),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_30,negated_conjecture,
sK1007 = u1_struct_0(sK1006),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_31,negated_conjecture,
k1_rlvect_1(sK1005) != k2_group_1(sK1005),
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_3458_32,negated_conjecture,
k1_rmod_5(sK1005,sK1006,sK1007) != sK1006,
inference(clausify,[status(thm)],[f_3458_7]) ).
cnf(f_2_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2_3]) ).
cnf(f_6_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_3]) ).
cnf(f_7_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_7_3]) ).
cnf(f_10_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_3]) ).
cnf(f_11_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_11_3]) ).
cnf(f_14_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_14_3]) ).
cnf(f_19_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_19_3]) ).
cnf(f_20_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_20_3]) ).
cnf(f_22_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_22_3]) ).
cnf(f_23_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_23_3]) ).
cnf(f_52_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_52_3]) ).
cnf(f_53_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_53_3]) ).
cnf(f_56_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_56_3]) ).
cnf(f_59_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_59_3]) ).
cnf(f_60_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_60_3]) ).
cnf(f_190_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_190_3]) ).
cnf(f_191_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_191_3]) ).
cnf(f_192_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_192_3]) ).
cnf(f_193_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_193_3]) ).
cnf(f_194_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_194_3]) ).
cnf(f_195_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_195_3]) ).
cnf(f_196_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_196_3]) ).
cnf(f_197_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_197_3]) ).
cnf(f_198_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_198_3]) ).
cnf(f_199_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_199_3]) ).
cnf(f_200_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_200_3]) ).
cnf(f_201_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_201_3]) ).
cnf(f_202_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_202_3]) ).
cnf(f_203_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_203_3]) ).
cnf(f_204_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_204_3]) ).
cnf(f_205_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_205_3]) ).
cnf(f_206_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_206_3]) ).
cnf(f_207_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_207_3]) ).
cnf(f_208_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_208_3]) ).
cnf(f_209_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_209_3]) ).
cnf(f_210_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_210_3]) ).
cnf(f_211_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_211_3]) ).
cnf(f_212_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_212_3]) ).
cnf(f_213_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_213_3]) ).
cnf(f_214_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_214_3]) ).
cnf(f_215_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_215_3]) ).
cnf(f_216_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_216_3]) ).
cnf(f_217_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_217_3]) ).
cnf(f_218_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_218_3]) ).
cnf(f_219_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_219_3]) ).
cnf(f_220_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_220_3]) ).
cnf(f_221_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_221_3]) ).
cnf(f_222_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_222_3]) ).
cnf(f_223_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_223_3]) ).
cnf(f_224_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_224_3]) ).
cnf(f_225_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_225_3]) ).
cnf(f_226_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_226_3]) ).
cnf(f_227_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_227_3]) ).
cnf(f_228_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_228_3]) ).
cnf(f_229_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_229_3]) ).
cnf(f_286_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_286_3]) ).
cnf(f_290_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_290_3]) ).
cnf(f_295_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_295_3]) ).
cnf(f_303_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_303_3]) ).
cnf(f_304_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_304_3]) ).
cnf(f_309_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_309_3]) ).
cnf(f_310_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_310_3]) ).
cnf(f_311_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_311_3]) ).
cnf(f_313_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_313_3]) ).
cnf(f_315_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_315_3]) ).
cnf(f_316_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_316_3]) ).
cnf(f_317_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_317_3]) ).
cnf(f_318_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_318_3]) ).
cnf(f_319_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_319_3]) ).
cnf(f_320_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_320_3]) ).
cnf(f_328_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_328_3]) ).
cnf(f_329_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_329_3]) ).
cnf(f_330_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_330_3]) ).
cnf(f_332_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_332_3]) ).
cnf(f_336_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_336_3]) ).
cnf(f_340_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_340_3]) ).
cnf(f_386_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_386_3]) ).
cnf(f_387_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_387_3]) ).
cnf(f_396_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_396_3]) ).
cnf(f_401_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_401_3]) ).
cnf(f_402_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_402_3]) ).
cnf(f_403_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_403_3]) ).
cnf(f_410_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_410_3]) ).
cnf(f_412_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_412_3]) ).
cnf(f_413_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_413_3]) ).
cnf(f_414_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_414_3]) ).
cnf(f_415_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_415_3]) ).
cnf(f_416_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_416_3]) ).
cnf(f_458_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_458_3]) ).
cnf(f_467_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_467_3]) ).
cnf(f_468_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_468_3]) ).
cnf(f_469_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_469_3]) ).
cnf(f_470_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_470_3]) ).
cnf(f_479_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_479_3]) ).
cnf(f_483_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_483_3]) ).
cnf(f_484_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_484_3]) ).
cnf(f_485_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_485_3]) ).
cnf(f_487_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_487_3]) ).
cnf(f_488_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_488_3]) ).
cnf(f_491_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_491_3]) ).
cnf(f_494_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_494_3]) ).
cnf(f_495_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_495_3]) ).
cnf(f_496_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_496_3]) ).
cnf(f_497_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_497_3]) ).
cnf(f_502_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_502_3]) ).
cnf(f_503_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_503_3]) ).
cnf(f_506_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_506_3]) ).
cnf(f_507_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_507_3]) ).
cnf(f_510_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_510_3]) ).
cnf(f_520_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_520_3]) ).
cnf(f_528_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_528_3]) ).
cnf(f_547_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_547_5]) ).
cnf(f_552_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_552_3]) ).
cnf(f_604_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_604_3]) ).
cnf(f_605_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_605_3]) ).
cnf(f_612_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_612_3]) ).
cnf(f_613_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_613_3]) ).
cnf(f_617_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_617_3]) ).
cnf(f_618_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_618_3]) ).
cnf(f_623_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_623_3]) ).
cnf(f_624_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_624_3]) ).
cnf(f_644_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_644_3]) ).
cnf(f_645_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_645_3]) ).
cnf(f_652_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_652_3]) ).
cnf(f_653_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_653_3]) ).
cnf(f_667_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_667_3]) ).
cnf(f_668_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_668_3]) ).
cnf(f_669_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_669_3]) ).
cnf(f_671_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_671_3]) ).
cnf(f_673_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_673_3]) ).
cnf(f_680_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_680_3]) ).
cnf(f_681_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_681_3]) ).
cnf(f_682_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_682_3]) ).
cnf(f_696_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_696_3]) ).
cnf(f_697_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_697_3]) ).
cnf(f_698_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_698_3]) ).
cnf(f_727_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_727_3]) ).
cnf(f_728_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_728_3]) ).
cnf(f_756_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_756_3]) ).
cnf(f_757_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_757_3]) ).
cnf(f_777_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_777_3]) ).
cnf(f_780_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_780_3]) ).
cnf(f_781_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_781_3]) ).
cnf(f_809_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_809_3]) ).
cnf(f_810_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_810_3]) ).
cnf(f_811_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_811_3]) ).
cnf(f_818_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_818_3]) ).
cnf(f_819_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_819_3]) ).
cnf(f_834_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_834_3]) ).
cnf(f_836_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_836_3]) ).
cnf(f_837_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_837_3]) ).
cnf(f_839_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_839_3]) ).
cnf(f_840_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_840_3]) ).
cnf(f_841_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_841_3]) ).
cnf(f_842_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_842_3]) ).
cnf(f_843_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_843_3]) ).
cnf(f_847_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_847_3]) ).
cnf(f_848_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_848_3]) ).
cnf(f_850_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_850_3]) ).
cnf(f_861_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_861_3]) ).
cnf(f_863_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_863_3]) ).
cnf(f_865_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_865_3]) ).
cnf(f_866_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_866_3]) ).
cnf(f_867_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_867_3]) ).
cnf(f_868_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_868_3]) ).
cnf(f_869_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_869_3]) ).
cnf(f_873_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_873_3]) ).
cnf(f_876_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_876_3]) ).
cnf(f_878_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_878_3]) ).
cnf(f_882_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_882_3]) ).
cnf(f_883_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_883_3]) ).
cnf(f_885_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_885_3]) ).
cnf(f_910_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_910_3]) ).
cnf(f_915_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_915_3]) ).
cnf(f_916_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_916_3]) ).
cnf(f_918_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_918_3]) ).
cnf(f_919_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_919_3]) ).
cnf(f_920_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_920_3]) ).
cnf(f_921_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_921_3]) ).
cnf(f_922_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_922_3]) ).
cnf(f_924_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_924_3]) ).
cnf(f_929_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_929_3]) ).
cnf(f_931_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_931_3]) ).
cnf(f_932_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_932_3]) ).
cnf(f_933_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_933_3]) ).
cnf(f_934_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_934_3]) ).
cnf(f_935_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_935_3]) ).
cnf(f_936_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_936_3]) ).
cnf(f_937_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_937_3]) ).
cnf(f_939_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_939_3]) ).
cnf(f_941_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_941_3]) ).
cnf(f_942_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_942_3]) ).
cnf(f_944_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_944_3]) ).
cnf(f_945_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_945_3]) ).
cnf(f_946_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_946_3]) ).
cnf(f_947_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_947_3]) ).
cnf(f_948_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_948_3]) ).
cnf(f_949_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_949_3]) ).
cnf(f_950_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_950_3]) ).
cnf(f_951_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_951_3]) ).
cnf(f_952_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_952_3]) ).
cnf(f_953_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_953_3]) ).
cnf(f_954_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_954_3]) ).
cnf(f_955_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_955_3]) ).
cnf(f_956_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_956_3]) ).
cnf(f_957_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_957_3]) ).
cnf(f_958_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_958_3]) ).
cnf(f_959_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_959_3]) ).
cnf(f_960_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_960_3]) ).
cnf(f_963_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_963_3]) ).
cnf(f_972_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_972_3]) ).
cnf(f_973_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_973_3]) ).
cnf(f_974_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_974_3]) ).
cnf(f_975_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_975_3]) ).
cnf(f_976_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_976_3]) ).
cnf(f_977_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_977_3]) ).
cnf(f_978_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_978_3]) ).
cnf(f_979_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_979_3]) ).
cnf(f_980_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_980_3]) ).
cnf(f_981_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_981_3]) ).
cnf(f_985_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_985_3]) ).
cnf(f_986_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_986_3]) ).
cnf(f_1014_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1014_3]) ).
cnf(f_1028_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1028_3]) ).
cnf(f_1029_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1029_3]) ).
cnf(f_1036_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1036_3]) ).
cnf(f_1037_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1037_3]) ).
cnf(f_1039_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1039_3]) ).
cnf(f_1046_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1046_3]) ).
cnf(f_1047_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1047_3]) ).
cnf(f_1048_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1048_3]) ).
cnf(f_1049_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1049_3]) ).
cnf(f_1051_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1051_3]) ).
cnf(f_1059_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1059_3]) ).
cnf(f_1071_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1071_3]) ).
cnf(f_1073_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1073_3]) ).
cnf(f_1078_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1078_3]) ).
cnf(f_1079_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1079_3]) ).
cnf(f_1097_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1097_3]) ).
cnf(f_1102_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1102_3]) ).
cnf(f_1103_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1103_3]) ).
cnf(f_1104_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1104_3]) ).
cnf(f_1106_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1106_3]) ).
cnf(f_1108_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1108_3]) ).
cnf(f_1119_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1119_3]) ).
cnf(f_1121_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1121_3]) ).
cnf(f_1122_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1122_3]) ).
cnf(f_1138_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1138_3]) ).
cnf(f_1141_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1141_3]) ).
cnf(f_1142_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1142_3]) ).
cnf(f_1143_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1143_3]) ).
cnf(f_1144_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1144_3]) ).
cnf(f_1145_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1145_3]) ).
cnf(f_1157_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1157_3]) ).
cnf(f_1200_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1200_3]) ).
cnf(f_1201_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1201_3]) ).
cnf(f_1210_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1210_3]) ).
cnf(f_1213_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1213_3]) ).
cnf(f_1215_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1215_3]) ).
cnf(f_1233_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1233_3]) ).
cnf(f_1239_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1239_3]) ).
cnf(f_1242_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1242_3]) ).
cnf(f_1252_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1252_3]) ).
cnf(f_1254_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1254_3]) ).
cnf(f_1256_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1256_3]) ).
cnf(f_1257_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1257_3]) ).
cnf(f_1258_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1258_3]) ).
cnf(f_1263_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1263_3]) ).
cnf(f_1268_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1268_3]) ).
cnf(f_1269_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1269_3]) ).
cnf(f_1271_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1271_3]) ).
cnf(f_1272_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1272_3]) ).
cnf(f_1278_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1278_3]) ).
cnf(f_1280_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1280_3]) ).
cnf(f_1281_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1281_3]) ).
cnf(f_1286_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1286_3]) ).
cnf(f_1291_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1291_3]) ).
cnf(f_1292_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1292_3]) ).
cnf(f_1293_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1293_3]) ).
cnf(f_1295_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1295_3]) ).
cnf(f_1296_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1296_3]) ).
cnf(f_1297_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1297_3]) ).
cnf(f_1298_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1298_3]) ).
cnf(f_1299_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1299_3]) ).
cnf(f_1300_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1300_3]) ).
cnf(f_1301_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1301_3]) ).
cnf(f_1302_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1302_3]) ).
cnf(f_1303_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1303_3]) ).
cnf(f_1304_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1304_3]) ).
cnf(f_1305_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1305_3]) ).
cnf(f_1306_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1306_3]) ).
cnf(f_1307_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1307_3]) ).
cnf(f_1308_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1308_3]) ).
cnf(f_1309_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1309_3]) ).
cnf(f_1310_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1310_3]) ).
cnf(f_1311_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1311_3]) ).
cnf(f_1312_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1312_3]) ).
cnf(f_1313_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1313_3]) ).
cnf(f_1314_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1314_3]) ).
cnf(f_1316_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1316_3]) ).
cnf(f_1319_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1319_3]) ).
cnf(f_1324_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1324_3]) ).
cnf(f_1325_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1325_3]) ).
cnf(f_1326_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1326_3]) ).
cnf(f_1327_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1327_3]) ).
cnf(f_1328_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1328_3]) ).
cnf(f_1329_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1329_3]) ).
cnf(f_1330_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1330_3]) ).
cnf(f_1331_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1331_3]) ).
cnf(f_1334_4_simplified,plain,
( v1_partfun1(U_3735,U_3737,U_3736)
| sP523(U_3737,U_3736)
| ~ m2_relset_1(U_3735,U_3737,U_3736)
| ~ v1_funct_2(U_3735,U_3737,U_3736)
| ~ v1_funct_1(U_3735) ),
inference(simplify_clause,[status(thm)],[f_1334_4]) ).
cnf(f_1337_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1337_3]) ).
cnf(f_1339_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1339_3]) ).
cnf(f_1340_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1340_3]) ).
cnf(f_1341_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1341_3]) ).
cnf(f_1342_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1342_3]) ).
cnf(f_1346_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1346_3]) ).
cnf(f_1349_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1349_3]) ).
cnf(f_1352_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1352_3]) ).
cnf(f_1355_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1355_3]) ).
cnf(f_1359_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1359_3]) ).
cnf(f_1365_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1365_3]) ).
cnf(f_1387_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1387_3]) ).
cnf(f_1416_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1416_3]) ).
cnf(f_1420_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1420_3]) ).
cnf(f_1424_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1424_3]) ).
cnf(f_1434_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1434_3]) ).
cnf(f_1436_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1436_3]) ).
cnf(f_1437_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1437_3]) ).
cnf(f_1450_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1450_3]) ).
cnf(f_1465_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1465_3]) ).
cnf(f_1466_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1466_3]) ).
cnf(f_1467_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1467_3]) ).
cnf(f_1468_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1468_3]) ).
cnf(f_1469_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1469_3]) ).
cnf(f_1470_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1470_3]) ).
cnf(f_1471_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1471_3]) ).
cnf(f_1472_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1472_3]) ).
cnf(f_1494_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1494_3]) ).
cnf(f_1512_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1512_3]) ).
cnf(f_1513_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1513_3]) ).
cnf(f_1514_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1514_3]) ).
cnf(f_1516_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1516_3]) ).
cnf(f_1552_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1552_3]) ).
cnf(f_1553_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1553_3]) ).
cnf(f_1554_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1554_3]) ).
cnf(f_1555_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1555_3]) ).
cnf(f_1556_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1556_3]) ).
cnf(f_1557_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1557_3]) ).
cnf(f_1558_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1558_3]) ).
cnf(f_1559_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1559_3]) ).
cnf(f_1560_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1560_3]) ).
cnf(f_1561_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1561_3]) ).
cnf(f_1562_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1562_3]) ).
cnf(f_1563_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1563_3]) ).
cnf(f_1589_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1589_3]) ).
cnf(f_1590_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1590_3]) ).
cnf(f_1592_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1592_3]) ).
cnf(f_1596_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1596_3]) ).
cnf(f_1599_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1599_3]) ).
cnf(f_1602_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1602_3]) ).
cnf(f_1603_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1603_3]) ).
cnf(f_1720_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1720_3]) ).
cnf(f_1721_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1721_3]) ).
cnf(f_1722_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1722_3]) ).
cnf(f_1723_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1723_3]) ).
cnf(f_1794_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1794_3]) ).
cnf(f_1795_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1795_3]) ).
cnf(f_1796_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1796_3]) ).
cnf(f_1797_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1797_3]) ).
cnf(f_1798_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1798_3]) ).
cnf(f_1799_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1799_3]) ).
cnf(f_1802_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1802_3]) ).
cnf(f_1803_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1803_3]) ).
cnf(f_1804_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1804_3]) ).
cnf(f_1805_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1805_3]) ).
cnf(f_1806_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1806_3]) ).
cnf(f_1807_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1807_3]) ).
cnf(f_1808_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1808_3]) ).
cnf(f_1818_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1818_3]) ).
cnf(f_1819_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1819_3]) ).
cnf(f_1820_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1820_3]) ).
cnf(f_1821_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1821_3]) ).
cnf(f_1822_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1822_3]) ).
cnf(f_1823_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1823_3]) ).
cnf(f_1824_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1824_3]) ).
cnf(f_1825_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1825_3]) ).
cnf(f_1841_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1841_3]) ).
cnf(f_1844_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1844_3]) ).
cnf(f_1849_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1849_3]) ).
cnf(f_1852_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1852_3]) ).
cnf(f_1864_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1864_3]) ).
cnf(f_1873_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1873_3]) ).
cnf(f_1892_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1892_3]) ).
cnf(f_1905_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1905_3]) ).
cnf(f_1906_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1906_3]) ).
cnf(f_1907_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1907_3]) ).
cnf(f_1909_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1909_3]) ).
cnf(f_1910_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1910_3]) ).
cnf(f_1911_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1911_3]) ).
cnf(f_1913_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1913_3]) ).
cnf(f_1914_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1914_3]) ).
cnf(f_1915_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1915_3]) ).
cnf(f_1916_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1916_3]) ).
cnf(f_1919_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1919_3]) ).
cnf(f_1920_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1920_3]) ).
cnf(f_1921_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1921_3]) ).
cnf(f_1923_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1923_3]) ).
cnf(f_1924_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1924_3]) ).
cnf(f_1925_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1925_3]) ).
cnf(f_1926_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1926_3]) ).
cnf(f_1927_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1927_3]) ).
cnf(f_1928_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1928_3]) ).
cnf(f_1940_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1940_3]) ).
cnf(f_1948_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1948_3]) ).
cnf(f_1964_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1964_3]) ).
cnf(f_1965_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1965_3]) ).
cnf(f_1966_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1966_3]) ).
cnf(f_1968_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1968_3]) ).
cnf(f_1973_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1973_3]) ).
cnf(f_1974_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1974_3]) ).
cnf(f_1978_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1978_3]) ).
cnf(f_1981_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1981_3]) ).
cnf(f_1986_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1986_3]) ).
cnf(f_1988_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1988_3]) ).
cnf(f_1989_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1989_3]) ).
cnf(f_1991_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_1991_3]) ).
cnf(f_2005_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2005_3]) ).
cnf(f_2035_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2035_3]) ).
cnf(f_2036_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2036_3]) ).
cnf(f_2049_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2049_3]) ).
cnf(f_2059_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2059_3]) ).
cnf(f_2065_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2065_3]) ).
cnf(f_2069_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2069_3]) ).
cnf(f_2070_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2070_3]) ).
cnf(f_2074_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2074_3]) ).
cnf(f_2090_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2090_3]) ).
cnf(f_2094_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2094_3]) ).
cnf(f_2096_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2096_3]) ).
cnf(f_2097_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2097_3]) ).
cnf(f_2112_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2112_3]) ).
cnf(f_2116_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2116_3]) ).
cnf(f_2146_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2146_3]) ).
cnf(f_2153_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2153_3]) ).
cnf(f_2160_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2160_3]) ).
cnf(f_2161_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2161_3]) ).
cnf(f_2164_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2164_3]) ).
cnf(f_2181_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2181_3]) ).
cnf(f_2192_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2192_3]) ).
cnf(f_2206_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2206_3]) ).
cnf(f_2207_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2207_3]) ).
cnf(f_2212_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2212_3]) ).
cnf(f_2219_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2219_3]) ).
cnf(f_2221_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2221_3]) ).
cnf(f_2222_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2222_3]) ).
cnf(f_2226_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2226_3]) ).
cnf(f_2227_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2227_3]) ).
cnf(f_2228_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2228_3]) ).
cnf(f_2229_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2229_3]) ).
cnf(f_2230_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2230_3]) ).
cnf(f_2232_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2232_3]) ).
cnf(f_2233_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2233_3]) ).
cnf(f_2247_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2247_3]) ).
cnf(f_2268_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2268_3]) ).
cnf(f_2269_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2269_3]) ).
cnf(f_2281_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2281_3]) ).
cnf(f_2304_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2304_3]) ).
cnf(f_2342_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2342_3]) ).
cnf(f_2343_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2343_3]) ).
cnf(f_2344_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2344_3]) ).
cnf(f_2352_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2352_3]) ).
cnf(f_2353_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2353_3]) ).
cnf(f_2354_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2354_3]) ).
cnf(f_2355_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2355_3]) ).
cnf(f_2356_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2356_3]) ).
cnf(f_2387_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2387_3]) ).
cnf(f_2388_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2388_3]) ).
cnf(f_2389_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2389_3]) ).
cnf(f_2390_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2390_3]) ).
cnf(f_2396_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2396_3]) ).
cnf(f_2399_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2399_3]) ).
cnf(f_2400_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2400_3]) ).
cnf(f_2401_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2401_3]) ).
cnf(f_2465_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2465_3]) ).
cnf(f_2466_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2466_3]) ).
cnf(f_2467_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2467_3]) ).
cnf(f_2468_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2468_3]) ).
cnf(f_2473_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2473_3]) ).
cnf(f_2474_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2474_3]) ).
cnf(f_2477_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2477_3]) ).
cnf(f_2479_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2479_3]) ).
cnf(f_2496_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2496_3]) ).
cnf(f_2497_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2497_3]) ).
cnf(f_2508_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2508_3]) ).
cnf(f_2509_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2509_3]) ).
cnf(f_2510_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2510_3]) ).
cnf(f_2511_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2511_3]) ).
cnf(f_2527_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2527_3]) ).
cnf(f_2528_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2528_3]) ).
cnf(f_2546_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2546_3]) ).
cnf(f_2549_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2549_3]) ).
cnf(f_2552_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2552_3]) ).
cnf(f_2553_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2553_3]) ).
cnf(f_2555_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2555_3]) ).
cnf(f_2562_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2562_3]) ).
cnf(f_2563_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2563_3]) ).
cnf(f_2564_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2564_3]) ).
cnf(f_2567_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2567_3]) ).
cnf(f_2569_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2569_3]) ).
cnf(f_2618_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2618_3]) ).
cnf(f_2619_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2619_3]) ).
cnf(f_2620_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2620_3]) ).
cnf(f_2621_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2621_3]) ).
cnf(f_2622_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2622_3]) ).
cnf(f_2624_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2624_3]) ).
cnf(f_2625_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2625_3]) ).
cnf(f_2626_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2626_3]) ).
cnf(f_2627_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2627_3]) ).
cnf(f_2628_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2628_3]) ).
cnf(f_2631_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2631_3]) ).
cnf(f_2632_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2632_3]) ).
cnf(f_2634_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2634_3]) ).
cnf(f_2638_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2638_3]) ).
cnf(f_2640_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2640_3]) ).
cnf(f_2641_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2641_3]) ).
cnf(f_2646_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2646_3]) ).
cnf(f_2647_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2647_3]) ).
cnf(f_2648_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2648_3]) ).
cnf(f_2649_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2649_3]) ).
cnf(f_2650_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2650_3]) ).
cnf(f_2651_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2651_3]) ).
cnf(f_2652_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2652_3]) ).
cnf(f_2653_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2653_3]) ).
cnf(f_2654_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2654_3]) ).
cnf(f_2655_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2655_3]) ).
cnf(f_2656_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2656_3]) ).
cnf(f_2657_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2657_3]) ).
cnf(f_2661_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2661_3]) ).
cnf(f_2662_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2662_3]) ).
cnf(f_2663_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2663_3]) ).
cnf(f_2664_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2664_3]) ).
cnf(f_2665_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2665_3]) ).
cnf(f_2666_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2666_3]) ).
cnf(f_2667_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2667_3]) ).
cnf(f_2668_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2668_3]) ).
cnf(f_2669_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2669_3]) ).
cnf(f_2670_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2670_3]) ).
cnf(f_2674_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2674_3]) ).
cnf(f_2675_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2675_3]) ).
cnf(f_2677_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2677_3]) ).
cnf(f_2678_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2678_3]) ).
cnf(f_2689_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2689_3]) ).
cnf(f_2690_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2690_3]) ).
cnf(f_2691_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2691_3]) ).
cnf(f_2692_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2692_3]) ).
cnf(f_2693_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2693_3]) ).
cnf(f_2694_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2694_3]) ).
cnf(f_2695_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2695_3]) ).
cnf(f_2696_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2696_3]) ).
cnf(f_2697_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2697_3]) ).
cnf(f_2698_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2698_3]) ).
cnf(f_2699_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2699_3]) ).
cnf(f_2700_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2700_3]) ).
cnf(f_2701_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2701_3]) ).
cnf(f_2704_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2704_3]) ).
cnf(f_2705_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2705_3]) ).
cnf(f_2714_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2714_3]) ).
cnf(f_2715_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2715_3]) ).
cnf(f_2718_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2718_3]) ).
cnf(f_2719_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2719_3]) ).
cnf(f_2720_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2720_3]) ).
cnf(f_2722_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2722_3]) ).
cnf(f_2725_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2725_3]) ).
cnf(f_2726_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2726_3]) ).
cnf(f_2728_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2728_3]) ).
cnf(f_2729_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2729_3]) ).
cnf(f_2731_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2731_3]) ).
cnf(f_2737_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2737_3]) ).
cnf(f_2775_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2775_3]) ).
cnf(f_2776_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2776_3]) ).
cnf(f_2784_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2784_3]) ).
cnf(f_2785_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2785_3]) ).
cnf(f_2787_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2787_3]) ).
cnf(f_2788_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2788_3]) ).
cnf(f_2789_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2789_3]) ).
cnf(f_2790_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2790_3]) ).
cnf(f_2803_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2803_3]) ).
cnf(f_2804_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2804_3]) ).
cnf(f_2805_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2805_3]) ).
cnf(f_2808_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2808_3]) ).
cnf(f_2811_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2811_3]) ).
cnf(f_2812_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2812_3]) ).
cnf(f_2817_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2817_3]) ).
cnf(f_2818_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2818_3]) ).
cnf(f_2819_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2819_3]) ).
cnf(f_2820_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2820_3]) ).
cnf(f_2827_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2827_3]) ).
cnf(f_2828_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2828_3]) ).
cnf(f_2839_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2839_3]) ).
cnf(f_2840_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2840_3]) ).
cnf(f_2841_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2841_3]) ).
cnf(f_2848_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2848_3]) ).
cnf(f_2849_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2849_3]) ).
cnf(f_2858_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2858_3]) ).
cnf(f_2865_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2865_3]) ).
cnf(f_2876_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2876_3]) ).
cnf(f_2877_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2877_3]) ).
cnf(f_2878_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2878_3]) ).
cnf(f_2879_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2879_3]) ).
cnf(f_2880_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2880_3]) ).
cnf(f_2881_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2881_3]) ).
cnf(f_2882_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2882_3]) ).
cnf(f_2883_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2883_3]) ).
cnf(f_2884_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2884_3]) ).
cnf(f_2930_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2930_3]) ).
cnf(f_2966_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2966_3]) ).
cnf(f_2969_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2969_3]) ).
cnf(f_2970_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2970_3]) ).
cnf(f_2972_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2972_3]) ).
cnf(f_2973_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2973_3]) ).
cnf(f_2974_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2974_3]) ).
cnf(f_2975_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2975_3]) ).
cnf(f_2976_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2976_3]) ).
cnf(f_2977_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2977_3]) ).
cnf(f_2978_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2978_3]) ).
cnf(f_2979_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2979_3]) ).
cnf(f_2980_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2980_3]) ).
cnf(f_2981_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2981_3]) ).
cnf(f_2982_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2982_3]) ).
cnf(f_2984_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2984_3]) ).
cnf(f_2985_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2985_3]) ).
cnf(f_2987_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2987_3]) ).
cnf(f_2988_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2988_3]) ).
cnf(f_2989_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2989_3]) ).
cnf(f_2990_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2990_3]) ).
cnf(f_2991_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2991_3]) ).
cnf(f_2993_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2993_3]) ).
cnf(f_2994_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2994_3]) ).
cnf(f_2995_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2995_3]) ).
cnf(f_2996_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2996_3]) ).
cnf(f_2997_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2997_3]) ).
cnf(f_2998_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2998_3]) ).
cnf(f_2999_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_2999_3]) ).
cnf(f_3000_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3000_3]) ).
cnf(f_3001_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3001_3]) ).
cnf(f_3002_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3002_3]) ).
cnf(f_3003_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3003_3]) ).
cnf(f_3005_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3005_3]) ).
cnf(f_3006_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3006_3]) ).
cnf(f_3007_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3007_3]) ).
cnf(f_3013_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3013_3]) ).
cnf(f_3017_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3017_3]) ).
cnf(f_3032_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3032_3]) ).
cnf(f_3034_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3034_3]) ).
cnf(f_3035_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3035_3]) ).
cnf(f_3038_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3038_3]) ).
cnf(f_3041_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3041_3]) ).
cnf(f_3042_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3042_3]) ).
cnf(f_3044_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3044_3]) ).
cnf(f_3045_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3045_3]) ).
cnf(f_3046_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3046_3]) ).
cnf(f_3047_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3047_3]) ).
cnf(f_3048_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3048_3]) ).
cnf(f_3049_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3049_3]) ).
cnf(f_3050_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3050_3]) ).
cnf(f_3051_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3051_3]) ).
cnf(f_3052_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3052_3]) ).
cnf(f_3053_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3053_3]) ).
cnf(f_3054_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3054_3]) ).
cnf(f_3055_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3055_3]) ).
cnf(f_3056_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3056_3]) ).
cnf(f_3058_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3058_3]) ).
cnf(f_3059_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3059_3]) ).
cnf(f_3060_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3060_3]) ).
cnf(f_3061_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3061_3]) ).
cnf(f_3062_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3062_3]) ).
cnf(f_3064_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3064_3]) ).
cnf(f_3067_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3067_3]) ).
cnf(f_3068_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3068_3]) ).
cnf(f_3069_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3069_3]) ).
cnf(f_3070_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3070_3]) ).
cnf(f_3071_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3071_3]) ).
cnf(f_3095_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3095_3]) ).
cnf(f_3096_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3096_3]) ).
cnf(f_3097_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3097_3]) ).
cnf(f_3098_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3098_3]) ).
cnf(f_3099_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3099_3]) ).
cnf(f_3100_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3100_3]) ).
cnf(f_3101_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3101_3]) ).
cnf(f_3102_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3102_3]) ).
cnf(f_3103_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3103_3]) ).
cnf(f_3104_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3104_3]) ).
cnf(f_3105_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3105_3]) ).
cnf(f_3106_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3106_3]) ).
cnf(f_3109_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3109_3]) ).
cnf(f_3110_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3110_3]) ).
cnf(f_3111_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3111_3]) ).
cnf(f_3112_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3112_3]) ).
cnf(f_3113_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3113_3]) ).
cnf(f_3114_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3114_3]) ).
cnf(f_3115_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3115_3]) ).
cnf(f_3116_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3116_3]) ).
cnf(f_3117_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3117_3]) ).
cnf(f_3118_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3118_3]) ).
cnf(f_3121_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3121_3]) ).
cnf(f_3122_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3122_3]) ).
cnf(f_3123_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3123_3]) ).
cnf(f_3124_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3124_3]) ).
cnf(f_3125_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3125_3]) ).
cnf(f_3126_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3126_3]) ).
cnf(f_3127_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3127_3]) ).
cnf(f_3128_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3128_3]) ).
cnf(f_3129_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3129_3]) ).
cnf(f_3130_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3130_3]) ).
cnf(f_3135_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3135_3]) ).
cnf(f_3140_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3140_3]) ).
cnf(f_3141_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3141_3]) ).
cnf(f_3142_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3142_3]) ).
cnf(f_3150_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3150_3]) ).
cnf(f_3151_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3151_3]) ).
cnf(f_3152_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3152_3]) ).
cnf(f_3153_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3153_3]) ).
cnf(f_3154_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3154_3]) ).
cnf(f_3184_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3184_3]) ).
cnf(f_3185_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3185_3]) ).
cnf(f_3186_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3186_3]) ).
cnf(f_3193_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3193_3]) ).
cnf(f_3196_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3196_3]) ).
cnf(f_3197_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3197_3]) ).
cnf(f_3198_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3198_3]) ).
cnf(f_3216_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3216_3]) ).
cnf(f_3250_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3250_3]) ).
cnf(f_3251_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3251_3]) ).
cnf(f_3252_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3252_3]) ).
cnf(f_3253_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3253_3]) ).
cnf(f_3275_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3275_3]) ).
cnf(f_3292_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3292_3]) ).
cnf(f_3293_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3293_3]) ).
cnf(f_3296_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3296_3]) ).
cnf(f_3305_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3305_3]) ).
cnf(f_3306_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3306_3]) ).
cnf(f_3307_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3307_3]) ).
cnf(f_3308_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3308_3]) ).
cnf(f_3313_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3313_3]) ).
cnf(f_3314_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3314_3]) ).
cnf(f_3315_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3315_3]) ).
cnf(f_3316_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3316_3]) ).
cnf(f_3324_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3324_3]) ).
cnf(f_3334_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3334_3]) ).
cnf(f_3335_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3335_3]) ).
cnf(f_3349_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3349_3]) ).
cnf(f_3350_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3350_3]) ).
cnf(f_3351_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3351_3]) ).
cnf(f_3355_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3355_3]) ).
cnf(f_3358_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3358_3]) ).
cnf(f_3359_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3359_3]) ).
cnf(f_3365_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3365_3]) ).
cnf(f_3366_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3366_3]) ).
cnf(f_3367_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3367_3]) ).
cnf(f_3375_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3375_3]) ).
cnf(f_3376_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3376_3]) ).
cnf(f_3387_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3387_3]) ).
cnf(f_3388_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3388_3]) ).
cnf(f_3389_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3389_3]) ).
cnf(f_3396_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3396_3]) ).
cnf(f_3397_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3397_3]) ).
cnf(f_3407_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3407_3]) ).
cnf(f_3413_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3413_3]) ).
cnf(f_3414_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3414_3]) ).
cnf(f_3444_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3444_3]) ).
cnf(f_3451_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3451_3]) ).
cnf(f_3452_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_3452_3]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( k1_tarski(Eq_x_0) = k1_tarski(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( k2_tarski(Eq_x_0,Eq_x_1) = k2_tarski(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( k3_tarski(Eq_x_0) = k3_tarski(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( k4_tarski(Eq_x_0,Eq_x_1) = k4_tarski(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( k2_xboole_0(Eq_x_0,Eq_x_1) = k2_xboole_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( k3_xboole_0(Eq_x_0,Eq_x_1) = k3_xboole_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( k4_xboole_0(Eq_x_0,Eq_x_1) = k4_xboole_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( k5_xboole_0(Eq_x_0,Eq_x_1) = k5_xboole_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( k1_enumset1(Eq_x_0,Eq_x_1,Eq_x_2) = k1_enumset1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( k2_enumset1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k2_enumset1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( k3_enumset1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = k3_enumset1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( k4_enumset1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = k4_enumset1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( k5_enumset1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = k5_enumset1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( k6_enumset1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = k6_enumset1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( k1_zfmisc_1(Eq_x_0) = k1_zfmisc_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( k2_zfmisc_1(Eq_x_0,Eq_x_1) = k2_zfmisc_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( k3_zfmisc_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_zfmisc_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( k4_zfmisc_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k4_zfmisc_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( k1_subset_1(Eq_x_0) = k1_subset_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( k2_subset_1(Eq_x_0) = k2_subset_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( k3_subset_1(Eq_x_0,Eq_x_1) = k3_subset_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( k4_subset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k4_subset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( k5_subset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k5_subset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( k6_subset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k6_subset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( k7_subset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k7_subset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( k8_subset_1(Eq_x_0) = k8_subset_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( k1_relat_1(Eq_x_0) = k1_relat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( k2_relat_1(Eq_x_0) = k2_relat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( k5_relat_1(Eq_x_0,Eq_x_1) = k5_relat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( k4_relat_1(Eq_x_0) = k4_relat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( k7_relat_1(Eq_x_0,Eq_x_1) = k7_relat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( k3_relat_1(Eq_x_0) = k3_relat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( k6_relat_1(Eq_x_0) = k6_relat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( k8_relat_1(Eq_x_0,Eq_x_1) = k8_relat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( k9_relat_1(Eq_x_0,Eq_x_1) = k9_relat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( k10_relat_1(Eq_x_0,Eq_x_1) = k10_relat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( k1_funct_1(Eq_x_0,Eq_x_1) = k1_funct_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( k2_funct_1(Eq_x_0) = k2_funct_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( f2_s3_funct_1(Eq_x_0) = f2_s3_funct_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( f2_s4_funct_1(Eq_x_0) = f2_s4_funct_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_44,axiom,
( k1_ordinal1(Eq_x_0) = k1_ordinal1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_45,axiom,
( k2_ordinal1(Eq_x_0,Eq_x_1) = k2_ordinal1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_46,axiom,
( f2_s3_ordinal1(Eq_x_0) = f2_s3_ordinal1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_47,axiom,
( f2_s4_ordinal1(Eq_x_0) = f2_s4_ordinal1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_48,axiom,
( f2_s5_ordinal1(Eq_x_0) = f2_s5_ordinal1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_49,axiom,
( f3_s5_ordinal1(Eq_x_0) = f3_s5_ordinal1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_50,axiom,
( k4_relset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k4_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_51,axiom,
( k5_relset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k5_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_52,axiom,
( k6_relset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k6_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_53,axiom,
( k8_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k8_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_54,axiom,
( k9_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k9_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_55,axiom,
( k10_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k10_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_56,axiom,
( k11_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k11_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_57,axiom,
( k7_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = k7_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_58,axiom,
( k1_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k1_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_59,axiom,
( k2_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k2_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_60,axiom,
( k3_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k3_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_61,axiom,
( k1_funct_2(Eq_x_0,Eq_x_1) = k1_funct_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_62,axiom,
( k1_partfun1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = k1_partfun1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_63,axiom,
( k6_partfun1(Eq_x_0) = k6_partfun1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_64,axiom,
( k2_partfun1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k2_partfun1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_65,axiom,
( k2_funct_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k2_funct_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_66,axiom,
( k3_funct_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k3_funct_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_67,axiom,
( k4_funct_2(Eq_x_0,Eq_x_1,Eq_x_2) = k4_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_68,axiom,
( k5_funct_2(Eq_x_0,Eq_x_1,Eq_x_2) = k5_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_69,axiom,
( k6_funct_2(Eq_x_0,Eq_x_1) = k6_funct_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_70,axiom,
( k3_partfun1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_partfun1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_71,axiom,
( k4_partfun1(Eq_x_0,Eq_x_1) = k4_partfun1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_72,axiom,
( k5_partfun1(Eq_x_0,Eq_x_1,Eq_x_2) = k5_partfun1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_73,axiom,
( k9_funct_2(Eq_x_0,Eq_x_1,Eq_x_2) = k9_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_74,axiom,
( f3_s2_funct_2(Eq_x_0) = f3_s2_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_75,axiom,
( k8_funct_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k8_funct_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_76,axiom,
( f3_s4_funct_2(Eq_x_0) = f3_s4_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_77,axiom,
( f4_s6_funct_2(Eq_x_0,Eq_x_1) = f4_s6_funct_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_78,axiom,
( f4_s8_funct_2(Eq_x_0,Eq_x_1) = f4_s8_funct_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_79,axiom,
( f3_s9_funct_2(Eq_x_0) = f3_s9_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_80,axiom,
( f4_s9_funct_2(Eq_x_0) = f4_s9_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_81,axiom,
( f5_s10_funct_2(Eq_x_0) = f5_s10_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_82,axiom,
( f7_s11_funct_2(Eq_x_0) = f7_s11_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_83,axiom,
( f3_s12_funct_2(Eq_x_0) = f3_s12_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_84,axiom,
( f3_s13_funct_2(Eq_x_0) = f3_s13_funct_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_85,axiom,
( k7_funct_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = k7_funct_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_86,axiom,
( k2_funcop_1(Eq_x_0,Eq_x_1) = k2_funcop_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_87,axiom,
( k1_ordinal2(Eq_x_0) = k1_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_88,axiom,
( k2_ordinal2(Eq_x_0) = k2_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_89,axiom,
( k3_ordinal2(Eq_x_0) = k3_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_90,axiom,
( k1_setfam_1(Eq_x_0) = k1_setfam_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_91,axiom,
( k6_ordinal2(Eq_x_0) = k6_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_92,axiom,
( k7_ordinal2(Eq_x_0) = k7_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_93,axiom,
( k8_ordinal2(Eq_x_0) = k8_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_94,axiom,
( k9_ordinal2(Eq_x_0) = k9_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_95,axiom,
( k10_ordinal2(Eq_x_0) = k10_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_96,axiom,
( k11_ordinal2(Eq_x_0) = k11_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_97,axiom,
( k12_ordinal2(Eq_x_0) = k12_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_98,axiom,
( k13_ordinal2(Eq_x_0,Eq_x_1) = k13_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_99,axiom,
( k14_ordinal2(Eq_x_0,Eq_x_1) = k14_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_100,axiom,
( k15_ordinal2(Eq_x_0,Eq_x_1) = k15_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_101,axiom,
( k16_ordinal2(Eq_x_0,Eq_x_1) = k16_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_102,axiom,
( f2_s2_ordinal2(Eq_x_0) = f2_s2_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_103,axiom,
( f2_s3_ordinal2(Eq_x_0) = f2_s3_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_104,axiom,
( f3_s4_ordinal2(Eq_x_0,Eq_x_1) = f3_s4_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_105,axiom,
( f4_s4_ordinal2(Eq_x_0,Eq_x_1) = f4_s4_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_106,axiom,
( f3_s5_ordinal2(Eq_x_0,Eq_x_1) = f3_s5_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_107,axiom,
( f4_s5_ordinal2(Eq_x_0,Eq_x_1) = f4_s5_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_108,axiom,
( f2_s6_ordinal2(Eq_x_0) = f2_s6_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_109,axiom,
( f5_s6_ordinal2(Eq_x_0,Eq_x_1) = f5_s6_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_110,axiom,
( f6_s6_ordinal2(Eq_x_0,Eq_x_1) = f6_s6_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_111,axiom,
( f3_s7_ordinal2(Eq_x_0,Eq_x_1) = f3_s7_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_112,axiom,
( f4_s7_ordinal2(Eq_x_0,Eq_x_1) = f4_s7_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_113,axiom,
( f1_s8_ordinal2(Eq_x_0) = f1_s8_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_114,axiom,
( f3_s8_ordinal2(Eq_x_0,Eq_x_1) = f3_s8_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_115,axiom,
( f4_s8_ordinal2(Eq_x_0,Eq_x_1) = f4_s8_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_116,axiom,
( f4_s9_ordinal2(Eq_x_0) = f4_s9_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_117,axiom,
( f2_s9_ordinal2(Eq_x_0,Eq_x_1) = f2_s9_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_118,axiom,
( f3_s9_ordinal2(Eq_x_0,Eq_x_1) = f3_s9_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_119,axiom,
( f3_s10_ordinal2(Eq_x_0) = f3_s10_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_120,axiom,
( f5_s10_ordinal2(Eq_x_0,Eq_x_1) = f5_s10_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_121,axiom,
( f6_s10_ordinal2(Eq_x_0,Eq_x_1) = f6_s10_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_122,axiom,
( f3_s11_ordinal2(Eq_x_0,Eq_x_1) = f3_s11_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_123,axiom,
( f4_s11_ordinal2(Eq_x_0,Eq_x_1) = f4_s11_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_124,axiom,
( f2_s12_ordinal2(Eq_x_0) = f2_s12_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_125,axiom,
( f5_s12_ordinal2(Eq_x_0,Eq_x_1) = f5_s12_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_126,axiom,
( f6_s12_ordinal2(Eq_x_0,Eq_x_1) = f6_s12_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_127,axiom,
( f3_s13_ordinal2(Eq_x_0,Eq_x_1) = f3_s13_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_128,axiom,
( f4_s13_ordinal2(Eq_x_0,Eq_x_1) = f4_s13_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_129,axiom,
( f1_s14_ordinal2(Eq_x_0) = f1_s14_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_130,axiom,
( f3_s14_ordinal2(Eq_x_0,Eq_x_1) = f3_s14_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_131,axiom,
( f4_s14_ordinal2(Eq_x_0,Eq_x_1) = f4_s14_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_132,axiom,
( f4_s15_ordinal2(Eq_x_0) = f4_s15_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_133,axiom,
( f2_s15_ordinal2(Eq_x_0,Eq_x_1) = f2_s15_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_134,axiom,
( f3_s15_ordinal2(Eq_x_0,Eq_x_1) = f3_s15_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_135,axiom,
( f3_s16_ordinal2(Eq_x_0) = f3_s16_ordinal2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_136,axiom,
( f5_s16_ordinal2(Eq_x_0,Eq_x_1) = f5_s16_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_137,axiom,
( f6_s16_ordinal2(Eq_x_0,Eq_x_1) = f6_s16_ordinal2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_138,axiom,
( f2_s1_finset_1(Eq_x_0) = f2_s1_finset_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_139,axiom,
( f3_s1_finset_1(Eq_x_0) = f3_s1_finset_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_140,axiom,
( k2_setwiseo(Eq_x_0,Eq_x_1) = k2_setwiseo(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_141,axiom,
( k1_fraenkel(Eq_x_0,Eq_x_1) = k1_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_142,axiom,
( k5_finsub_1(Eq_x_0) = k5_finsub_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_143,axiom,
( f4_s24_fraenkel(Eq_x_0) = f4_s24_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_144,axiom,
( f2_s5_fraenkel(Eq_x_0) = f2_s5_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_145,axiom,
( f3_s5_fraenkel(Eq_x_0) = f3_s5_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_146,axiom,
( f2_s6_fraenkel(Eq_x_0) = f2_s6_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_147,axiom,
( f3_s6_fraenkel(Eq_x_0) = f3_s6_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_148,axiom,
( f3_s7_fraenkel(Eq_x_0,Eq_x_1) = f3_s7_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_149,axiom,
( f4_s7_fraenkel(Eq_x_0,Eq_x_1) = f4_s7_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_150,axiom,
( f3_s8_fraenkel(Eq_x_0,Eq_x_1) = f3_s8_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_151,axiom,
( f3_s11_fraenkel(Eq_x_0,Eq_x_1) = f3_s11_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_152,axiom,
( f3_s12_fraenkel(Eq_x_0,Eq_x_1) = f3_s12_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_153,axiom,
( f3_s16_fraenkel(Eq_x_0,Eq_x_1) = f3_s16_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_154,axiom,
( f5_s25_fraenkel(Eq_x_0) = f5_s25_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_155,axiom,
( f2_s1_fraenkel(Eq_x_0) = f2_s1_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_156,axiom,
( f3_s2_fraenkel(Eq_x_0,Eq_x_1) = f3_s2_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_157,axiom,
( f2_s3_fraenkel(Eq_x_0) = f2_s3_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_158,axiom,
( f3_s4_fraenkel(Eq_x_0,Eq_x_1) = f3_s4_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_159,axiom,
( f4_s13_fraenkel(Eq_x_0,Eq_x_1) = f4_s13_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_160,axiom,
( f2_s14_fraenkel(Eq_x_0) = f2_s14_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_161,axiom,
( f3_s15_fraenkel(Eq_x_0,Eq_x_1) = f3_s15_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_162,axiom,
( f3_s17_fraenkel(Eq_x_0) = f3_s17_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_163,axiom,
( f3_s18_fraenkel(Eq_x_0) = f3_s18_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_164,axiom,
( f3_s19_fraenkel(Eq_x_0,Eq_x_1) = f3_s19_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_165,axiom,
( f3_s20_fraenkel(Eq_x_0,Eq_x_1) = f3_s20_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_166,axiom,
( f3_s21_fraenkel(Eq_x_0) = f3_s21_fraenkel(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_167,axiom,
( f5_s22_fraenkel(Eq_x_0,Eq_x_1) = f5_s22_fraenkel(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_168,axiom,
( k4_xcmplx_0(Eq_x_0) = k4_xcmplx_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_169,axiom,
( k5_xcmplx_0(Eq_x_0) = k5_xcmplx_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_170,axiom,
( k2_xcmplx_0(Eq_x_0,Eq_x_1) = k2_xcmplx_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_171,axiom,
( k3_xcmplx_0(Eq_x_0,Eq_x_1) = k3_xcmplx_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_172,axiom,
( k6_xcmplx_0(Eq_x_0,Eq_x_1) = k6_xcmplx_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_173,axiom,
( k7_xcmplx_0(Eq_x_0,Eq_x_1) = k7_xcmplx_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_174,axiom,
( k3_int_1(Eq_x_0) = k3_int_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_175,axiom,
( k1_real_1(Eq_x_0) = k1_real_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_176,axiom,
( k1_int_1(Eq_x_0) = k1_int_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_177,axiom,
( k2_int_1(Eq_x_0) = k2_int_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_178,axiom,
( k4_int_1(Eq_x_0) = k4_int_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_179,axiom,
( k5_int_1(Eq_x_0,Eq_x_1) = k5_int_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_180,axiom,
( k6_int_1(Eq_x_0,Eq_x_1) = k6_int_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_181,axiom,
( k3_card_1(Eq_x_0) = k3_card_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_182,axiom,
( k1_card_1(Eq_x_0) = k1_card_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_183,axiom,
( k2_wellord2(Eq_x_0) = k2_wellord2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_184,axiom,
( k2_card_1(Eq_x_0) = k2_card_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_185,axiom,
( k1_nat_1(Eq_x_0,Eq_x_1) = k1_nat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_186,axiom,
( k4_card_1(Eq_x_0) = k4_card_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_187,axiom,
( k1_finseq_1(Eq_x_0) = k1_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_188,axiom,
( k5_finseq_1(Eq_x_0) = k5_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_189,axiom,
( k10_finseq_1(Eq_x_0,Eq_x_1) = k10_finseq_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_190,axiom,
( k11_finseq_1(Eq_x_0,Eq_x_1,Eq_x_2) = k11_finseq_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_191,axiom,
( k13_finseq_1(Eq_x_0) = k13_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_192,axiom,
( k15_finseq_1(Eq_x_0) = k15_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_193,axiom,
( k7_finseq_1(Eq_x_0,Eq_x_1) = k7_finseq_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_194,axiom,
( k16_finseq_1(Eq_x_0,Eq_x_1,Eq_x_2) = k16_finseq_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_195,axiom,
( k2_finseq_1(Eq_x_0) = k2_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_196,axiom,
( k3_finseq_1(Eq_x_0) = k3_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_197,axiom,
( k4_finseq_1(Eq_x_0) = k4_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_198,axiom,
( k6_finseq_1(Eq_x_0) = k6_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_199,axiom,
( k9_finseq_1(Eq_x_0) = k9_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_200,axiom,
( k14_finseq_1(Eq_x_0) = k14_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_201,axiom,
( k17_finseq_1(Eq_x_0) = k17_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_202,axiom,
( f2_s2_finseq_1(Eq_x_0) = f2_s2_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_203,axiom,
( k8_finseq_1(Eq_x_0,Eq_x_1,Eq_x_2) = k8_finseq_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_204,axiom,
( k12_finseq_1(Eq_x_0,Eq_x_1) = k12_finseq_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_205,axiom,
( a_1_0_finseq_1(Eq_x_0) = a_1_0_finseq_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_206,axiom,
( u1_struct_0(Eq_x_0) = u1_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_207,axiom,
( g1_struct_0(Eq_x_0) = g1_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_208,axiom,
( u2_struct_0(Eq_x_0) = u2_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_209,axiom,
( g2_struct_0(Eq_x_0,Eq_x_1) = g2_struct_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_210,axiom,
( k1_struct_0(Eq_x_0,Eq_x_1) = k1_struct_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_211,axiom,
( k2_struct_0(Eq_x_0,Eq_x_1,Eq_x_2) = k2_struct_0(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_212,axiom,
( g2_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = g2_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_213,axiom,
( k1_rlvect_1(Eq_x_0) = k1_rlvect_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_214,axiom,
( k2_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2) = k2_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_215,axiom,
( u1_rlvect_1(Eq_x_0) = u1_rlvect_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_216,axiom,
( k1_domain_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k1_domain_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_217,axiom,
( k3_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_218,axiom,
( u2_rlvect_1(Eq_x_0) = u2_rlvect_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_219,axiom,
( k2_binop_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = k2_binop_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_220,axiom,
( k3_real_1(Eq_x_0,Eq_x_1) = k3_real_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_221,axiom,
( k4_real_1(Eq_x_0,Eq_x_1) = k4_real_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_222,axiom,
( k5_rlvect_1(Eq_x_0,Eq_x_1) = k5_rlvect_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_223,axiom,
( k6_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2) = k6_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_224,axiom,
( k4_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2) = k4_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_225,axiom,
( k5_real_1(Eq_x_0,Eq_x_1) = k5_real_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_226,axiom,
( k9_rlvect_1(Eq_x_0,Eq_x_1) = k9_rlvect_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_227,axiom,
( k7_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2) = k7_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_228,axiom,
( k8_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k8_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_229,axiom,
( g1_rlvect_1(Eq_x_0,Eq_x_1,Eq_x_2) = g1_rlvect_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_230,axiom,
( k1_realset1(Eq_x_0,Eq_x_1) = k1_realset1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_231,axiom,
( k1_rlsub_1(Eq_x_0) = k1_rlsub_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_232,axiom,
( k2_rlsub_1(Eq_x_0) = k2_rlsub_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_233,axiom,
( k3_rlsub_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_rlsub_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_234,axiom,
( a_3_0_rlsub_1(Eq_x_0,Eq_x_1,Eq_x_2) = a_3_0_rlsub_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_235,axiom,
( a_3_1_rlsub_1(Eq_x_0,Eq_x_1,Eq_x_2) = a_3_1_rlsub_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_236,axiom,
( g1_group_1(Eq_x_0,Eq_x_1) = g1_group_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_237,axiom,
( k1_group_1(Eq_x_0,Eq_x_1,Eq_x_2) = k1_group_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_238,axiom,
( u1_group_1(Eq_x_0) = u1_group_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_239,axiom,
( k2_group_1(Eq_x_0) = k2_group_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_240,axiom,
( k3_group_1(Eq_x_0,Eq_x_1) = k3_group_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_241,axiom,
( k4_group_1(Eq_x_0) = k4_group_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_242,axiom,
( k3_binop_1(Eq_x_0,Eq_x_1) = k3_binop_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_243,axiom,
( k6_finseqop(Eq_x_0,Eq_x_1) = k6_finseqop(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_244,axiom,
( k5_group_1(Eq_x_0) = k5_group_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_245,axiom,
( k6_group_1(Eq_x_0,Eq_x_1,Eq_x_2) = k6_group_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_246,axiom,
( k1_int_2(Eq_x_0) = k1_int_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_247,axiom,
( k2_nat_1(Eq_x_0,Eq_x_1) = k2_nat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_248,axiom,
( k7_binop_2(Eq_x_0) = k7_binop_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_249,axiom,
( k7_group_1(Eq_x_0,Eq_x_1) = k7_group_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_250,axiom,
( k8_group_1(Eq_x_0) = k8_group_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_251,axiom,
( k9_group_1(Eq_x_0) = k9_group_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_252,axiom,
( k10_group_1(Eq_x_0,Eq_x_1,Eq_x_2) = k10_group_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_253,axiom,
( g4_vectsp_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = g4_vectsp_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_254,axiom,
( k2_vectsp_1(Eq_x_0) = k2_vectsp_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_255,axiom,
( u1_vectsp_1(Eq_x_0) = u1_vectsp_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_256,axiom,
( g3_vectsp_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = g3_vectsp_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_257,axiom,
( k4_vectsp_1(Eq_x_0,Eq_x_1) = k4_vectsp_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_258,axiom,
( k5_vectsp_1(Eq_x_0,Eq_x_1,Eq_x_2) = k5_vectsp_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_259,axiom,
( k6_vectsp_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k6_vectsp_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_260,axiom,
( u2_vectsp_1(Eq_x_0,Eq_x_1) = u2_vectsp_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_261,axiom,
( k7_vectsp_1(Eq_x_0) = k7_vectsp_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_262,axiom,
( g1_vectsp_1(Eq_x_0,Eq_x_1,Eq_x_2) = g1_vectsp_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_263,axiom,
( g2_vectsp_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = g2_vectsp_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_264,axiom,
( k18_rlvect_2(Eq_x_0) = k18_rlvect_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_265,axiom,
( k23_rlvect_2(Eq_x_0) = k23_rlvect_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_266,axiom,
( k1_rlvect_2(Eq_x_0,Eq_x_1) = k1_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_267,axiom,
( k4_finseq_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k4_finseq_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_268,axiom,
( k6_rlvect_2(Eq_x_0,Eq_x_1) = k6_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_269,axiom,
( k1_pre_topc(Eq_x_0) = k1_pre_topc(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_270,axiom,
( k7_rlvect_2(Eq_x_0,Eq_x_1) = k7_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_271,axiom,
( k8_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k8_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_272,axiom,
( k9_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k9_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_273,axiom,
( k2_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k2_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_274,axiom,
( k3_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k3_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_275,axiom,
( k4_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k4_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_276,axiom,
( k5_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k5_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_277,axiom,
( k10_rlvect_2(Eq_x_0,Eq_x_1) = k10_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_278,axiom,
( k11_rlvect_2(Eq_x_0) = k11_rlvect_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_279,axiom,
( k12_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k12_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_280,axiom,
( k2_finseq_4(Eq_x_0,Eq_x_1,Eq_x_2) = k2_finseq_4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_281,axiom,
( k3_finseq_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k3_finseq_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_282,axiom,
( k13_rlvect_2(Eq_x_0,Eq_x_1) = k13_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_283,axiom,
( k14_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k14_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_284,axiom,
( k15_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k15_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_285,axiom,
( k16_rlvect_2(Eq_x_0,Eq_x_1) = k16_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_286,axiom,
( k17_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2) = k17_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_287,axiom,
( k19_rlvect_2(Eq_x_0,Eq_x_1) = k19_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_288,axiom,
( k20_rlvect_2(Eq_x_0,Eq_x_1) = k20_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_289,axiom,
( k21_rlvect_2(Eq_x_0) = k21_rlvect_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_290,axiom,
( k22_rlvect_2(Eq_x_0) = k22_rlvect_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_291,axiom,
( k24_rlvect_2(Eq_x_0,Eq_x_1) = k24_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_292,axiom,
( a_2_0_rlvect_2(Eq_x_0,Eq_x_1) = a_2_0_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_293,axiom,
( a_2_1_rlvect_2(Eq_x_0,Eq_x_1) = a_2_1_rlvect_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_294,axiom,
( g1_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = g1_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_295,axiom,
( g2_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = g2_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_296,axiom,
( k4_vectsp_2(Eq_x_0) = k4_vectsp_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_297,axiom,
( k5_vectsp_2(Eq_x_0) = k5_vectsp_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_298,axiom,
( k9_vectsp_2(Eq_x_0,Eq_x_1) = k9_vectsp_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_299,axiom,
( k1_vectsp_2(Eq_x_0,Eq_x_1) = k1_vectsp_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_300,axiom,
( k2_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2) = k2_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_301,axiom,
( k3_vectsp_2(Eq_x_0) = k3_vectsp_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_302,axiom,
( k6_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k6_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_303,axiom,
( u1_vectsp_2(Eq_x_0,Eq_x_1) = u1_vectsp_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_304,axiom,
( k10_funct_3(Eq_x_0,Eq_x_1) = k10_funct_3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_305,axiom,
( k9_funct_3(Eq_x_0,Eq_x_1) = k9_funct_3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_306,axiom,
( k6_domain_1(Eq_x_0,Eq_x_1) = k6_domain_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_307,axiom,
( k1_rmod_2(Eq_x_0,Eq_x_1) = k1_rmod_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_308,axiom,
( k2_rmod_2(Eq_x_0,Eq_x_1) = k2_rmod_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_309,axiom,
( k3_rmod_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k3_rmod_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_310,axiom,
( a_4_0_rmod_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = a_4_0_rmod_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_311,axiom,
( a_4_1_rmod_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = a_4_1_rmod_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_312,axiom,
( k3_rmod_3(Eq_x_0,Eq_x_1) = k3_rmod_3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_313,axiom,
( k2_rmod_3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k2_rmod_3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_314,axiom,
( k1_rmod_3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k1_rmod_3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_315,axiom,
( k4_rmod_3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = k4_rmod_3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_316,axiom,
( k2_domain_1(Eq_x_0,Eq_x_1,Eq_x_2) = k2_domain_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_317,axiom,
( k3_domain_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_domain_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_318,axiom,
( k5_rmod_3(Eq_x_0,Eq_x_1) = k5_rmod_3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_319,axiom,
( k6_rmod_3(Eq_x_0,Eq_x_1) = k6_rmod_3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_320,axiom,
( g3_lattices(Eq_x_0,Eq_x_1,Eq_x_2) = g3_lattices(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_321,axiom,
( a_4_0_rmod_3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = a_4_0_rmod_3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_322,axiom,
( k1_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2) = k1_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_323,axiom,
( k2_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2) = k2_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_324,axiom,
( k3_rmod_4(Eq_x_0,Eq_x_1) = k3_rmod_4(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_325,axiom,
( k4_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k4_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_326,axiom,
( k5_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2) = k5_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_327,axiom,
( k6_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k6_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_328,axiom,
( k7_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k7_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_329,axiom,
( k8_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2) = k8_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_330,axiom,
( k9_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k9_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_331,axiom,
( a_3_0_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2) = a_3_0_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_332,axiom,
( k1_rmod_5(Eq_x_0,Eq_x_1,Eq_x_2) = k1_rmod_5(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_333,axiom,
( a_3_0_rmod_5(Eq_x_0,Eq_x_1,Eq_x_2) = a_3_0_rmod_5(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_334,axiom,
( sK1(Eq_x_0,Eq_x_1) = sK1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_335,axiom,
( sK2(Eq_x_0,Eq_x_1) = sK2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_336,axiom,
( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_337,axiom,
( sK4(Eq_x_0,Eq_x_1) = sK4(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_338,axiom,
( sK5(Eq_x_0,Eq_x_1,Eq_x_2) = sK5(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_339,axiom,
( sK6(Eq_x_0,Eq_x_1,Eq_x_2) = sK6(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_340,axiom,
( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_341,axiom,
( sK8(Eq_x_0,Eq_x_1,Eq_x_2) = sK8(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_342,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_343,axiom,
( sK10(Eq_x_0,Eq_x_1) = sK10(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_344,axiom,
( sK11(Eq_x_0,Eq_x_1) = sK11(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_345,axiom,
( sK12(Eq_x_0,Eq_x_1) = sK12(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_346,axiom,
( sK13(Eq_x_0,Eq_x_1) = sK13(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_347,axiom,
( sK14(Eq_x_0,Eq_x_1,Eq_x_2) = sK14(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_348,axiom,
( sK15(Eq_x_0,Eq_x_1,Eq_x_2) = sK15(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_349,axiom,
( sK16(Eq_x_0,Eq_x_1,Eq_x_2) = sK16(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_350,axiom,
( sK17(Eq_x_0,Eq_x_1,Eq_x_2) = sK17(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_351,axiom,
( sK18(Eq_x_0,Eq_x_1,Eq_x_2) = sK18(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_352,axiom,
( sK19(Eq_x_0,Eq_x_1,Eq_x_2) = sK19(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_353,axiom,
( sK20(Eq_x_0,Eq_x_1,Eq_x_2) = sK20(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_354,axiom,
( sK21(Eq_x_0,Eq_x_1,Eq_x_2) = sK21(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_355,axiom,
( sK22(Eq_x_0) = sK22(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_356,axiom,
( sK23(Eq_x_0,Eq_x_1) = sK23(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_357,axiom,
( sK28(Eq_x_0) = sK28(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_358,axiom,
( sK31(Eq_x_0) = sK31(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_359,axiom,
( sK32(Eq_x_0,Eq_x_1,Eq_x_2) = sK32(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_360,axiom,
( sK33(Eq_x_0,Eq_x_1,Eq_x_2) = sK33(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_361,axiom,
( sK34(Eq_x_0,Eq_x_1,Eq_x_2) = sK34(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_362,axiom,
( sK35(Eq_x_0,Eq_x_1,Eq_x_2) = sK35(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_363,axiom,
( sK36(Eq_x_0,Eq_x_1,Eq_x_2) = sK36(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_364,axiom,
( sK37(Eq_x_0,Eq_x_1,Eq_x_2) = sK37(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_365,axiom,
( sK38(Eq_x_0,Eq_x_1,Eq_x_2) = sK38(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_366,axiom,
( sK39(Eq_x_0,Eq_x_1,Eq_x_2) = sK39(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_367,axiom,
( sK40(Eq_x_0,Eq_x_1) = sK40(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_368,axiom,
( sK41(Eq_x_0,Eq_x_1) = sK41(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_369,axiom,
( sK47(Eq_x_0,Eq_x_1) = sK47(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_370,axiom,
( sK48(Eq_x_0,Eq_x_1) = sK48(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_371,axiom,
( sK49(Eq_x_0,Eq_x_1) = sK49(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_372,axiom,
( sK50(Eq_x_0,Eq_x_1) = sK50(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_373,axiom,
( sK51(Eq_x_0,Eq_x_1,Eq_x_2) = sK51(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_374,axiom,
( sK52(Eq_x_0,Eq_x_1,Eq_x_2) = sK52(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_375,axiom,
( sK53(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK53(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_376,axiom,
( sK54(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK54(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_377,axiom,
( sK55(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK55(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_378,axiom,
( sK56(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK56(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_379,axiom,
( sK57(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK57(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_380,axiom,
( sK58(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK58(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_381,axiom,
( sK59(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK59(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_382,axiom,
( sK60(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK60(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_383,axiom,
( sK61(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK61(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_384,axiom,
( sK62(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK62(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_385,axiom,
( sK63(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8) = sK63(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_386,axiom,
( sK64(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8) = sK64(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_387,axiom,
( sK65(Eq_x_0,Eq_x_1) = sK65(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_388,axiom,
( sK66(Eq_x_0,Eq_x_1) = sK66(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_389,axiom,
( sK67(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK67(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_390,axiom,
( sK68(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK68(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_391,axiom,
( sK69(Eq_x_0,Eq_x_1,Eq_x_2) = sK69(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_392,axiom,
( sK70(Eq_x_0,Eq_x_1,Eq_x_2) = sK70(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_393,axiom,
( sK71(Eq_x_0,Eq_x_1,Eq_x_2) = sK71(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_394,axiom,
( sK72(Eq_x_0,Eq_x_1,Eq_x_2) = sK72(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_395,axiom,
( sK73(Eq_x_0,Eq_x_1) = sK73(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_396,axiom,
( sK74(Eq_x_0,Eq_x_1) = sK74(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_397,axiom,
( sK75(Eq_x_0,Eq_x_1) = sK75(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_398,axiom,
( sK76(Eq_x_0,Eq_x_1) = sK76(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_399,axiom,
( sK77(Eq_x_0,Eq_x_1) = sK77(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_400,axiom,
( sK78(Eq_x_0) = sK78(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_401,axiom,
( sK79(Eq_x_0) = sK79(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_402,axiom,
( sK80(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK80(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_403,axiom,
( sK81(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK81(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_404,axiom,
( sK82(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK82(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_405,axiom,
( sK83(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK83(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_406,axiom,
( sK84(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK84(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_407,axiom,
( sK85(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK85(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_408,axiom,
( sK86(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK86(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_409,axiom,
( sK87(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK87(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_410,axiom,
( sK88(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK88(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_411,axiom,
( sK89(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK89(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_412,axiom,
( sK90(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK90(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_413,axiom,
( sK91(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK91(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_414,axiom,
( sK92(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK92(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_415,axiom,
( sK93(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK93(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_416,axiom,
( sK94(Eq_x_0,Eq_x_1) = sK94(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_417,axiom,
( sK95(Eq_x_0,Eq_x_1) = sK95(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_418,axiom,
( sK96(Eq_x_0,Eq_x_1) = sK96(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_419,axiom,
( sK97(Eq_x_0,Eq_x_1) = sK97(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_420,axiom,
( sK98(Eq_x_0,Eq_x_1) = sK98(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_421,axiom,
( sK99(Eq_x_0,Eq_x_1) = sK99(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_422,axiom,
( sK100(Eq_x_0,Eq_x_1) = sK100(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_423,axiom,
( sK101(Eq_x_0,Eq_x_1) = sK101(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_424,axiom,
( sK102(Eq_x_0,Eq_x_1) = sK102(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_425,axiom,
( sK103(Eq_x_0) = sK103(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_426,axiom,
( sK104(Eq_x_0) = sK104(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_427,axiom,
( sK105(Eq_x_0) = sK105(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_428,axiom,
( sK106(Eq_x_0,Eq_x_1,Eq_x_2) = sK106(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_429,axiom,
( sK107(Eq_x_0,Eq_x_1,Eq_x_2) = sK107(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_430,axiom,
( sK108(Eq_x_0,Eq_x_1) = sK108(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_431,axiom,
( sK109(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK109(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_432,axiom,
( sK110(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK110(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_433,axiom,
( sK111(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK111(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_434,axiom,
( sK112(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK112(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_435,axiom,
( sK113(Eq_x_0,Eq_x_1,Eq_x_2) = sK113(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_436,axiom,
( sK114(Eq_x_0,Eq_x_1) = sK114(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_437,axiom,
( sK115(Eq_x_0,Eq_x_1,Eq_x_2) = sK115(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_438,axiom,
( sK116(Eq_x_0,Eq_x_1,Eq_x_2) = sK116(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_439,axiom,
( sK117(Eq_x_0,Eq_x_1,Eq_x_2) = sK117(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_440,axiom,
( sK119(Eq_x_0,Eq_x_1) = sK119(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_441,axiom,
( sK120(Eq_x_0,Eq_x_1) = sK120(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_442,axiom,
( sK124(Eq_x_0) = sK124(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_443,axiom,
( sK125(Eq_x_0,Eq_x_1) = sK125(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_444,axiom,
( sK129(Eq_x_0,Eq_x_1) = sK129(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_445,axiom,
( sK130(Eq_x_0,Eq_x_1) = sK130(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_446,axiom,
( sK131(Eq_x_0) = sK131(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_447,axiom,
( sK132(Eq_x_0,Eq_x_1) = sK132(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_448,axiom,
( sK133(Eq_x_0,Eq_x_1) = sK133(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_449,axiom,
( sK134(Eq_x_0,Eq_x_1) = sK134(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_450,axiom,
( sK135(Eq_x_0,Eq_x_1) = sK135(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_451,axiom,
( sK136(Eq_x_0,Eq_x_1) = sK136(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_452,axiom,
( sK137(Eq_x_0,Eq_x_1) = sK137(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_453,axiom,
( sK138(Eq_x_0,Eq_x_1,Eq_x_2) = sK138(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_454,axiom,
( sK139(Eq_x_0,Eq_x_1) = sK139(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_455,axiom,
( sK140(Eq_x_0,Eq_x_1) = sK140(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_456,axiom,
( sK141(Eq_x_0,Eq_x_1) = sK141(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_457,axiom,
( sK142(Eq_x_0,Eq_x_1,Eq_x_2) = sK142(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_458,axiom,
( sK143(Eq_x_0,Eq_x_1) = sK143(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_459,axiom,
( sK144(Eq_x_0,Eq_x_1) = sK144(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_460,axiom,
( sK145(Eq_x_0,Eq_x_1) = sK145(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_461,axiom,
( sK146(Eq_x_0,Eq_x_1) = sK146(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_462,axiom,
( sK147(Eq_x_0,Eq_x_1) = sK147(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_463,axiom,
( sK148(Eq_x_0,Eq_x_1) = sK148(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_464,axiom,
( sK149(Eq_x_0,Eq_x_1) = sK149(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_465,axiom,
( sK150(Eq_x_0,Eq_x_1) = sK150(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_466,axiom,
( sK151(Eq_x_0,Eq_x_1) = sK151(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_467,axiom,
( sK152(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK152(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_468,axiom,
( sK153(Eq_x_0,Eq_x_1,Eq_x_2) = sK153(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_469,axiom,
( sK154(Eq_x_0,Eq_x_1,Eq_x_2) = sK154(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_470,axiom,
( sK155(Eq_x_0,Eq_x_1,Eq_x_2) = sK155(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_471,axiom,
( sK156(Eq_x_0,Eq_x_1,Eq_x_2) = sK156(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_472,axiom,
( sK157(Eq_x_0,Eq_x_1,Eq_x_2) = sK157(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_473,axiom,
( sK158(Eq_x_0) = sK158(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_474,axiom,
( sK159(Eq_x_0) = sK159(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_475,axiom,
( sK160(Eq_x_0,Eq_x_1) = sK160(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_476,axiom,
( sK161(Eq_x_0,Eq_x_1) = sK161(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_477,axiom,
( sK162(Eq_x_0,Eq_x_1) = sK162(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_478,axiom,
( sK163(Eq_x_0,Eq_x_1) = sK163(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_479,axiom,
( sK164(Eq_x_0,Eq_x_1) = sK164(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_480,axiom,
( sK165(Eq_x_0,Eq_x_1,Eq_x_2) = sK165(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_481,axiom,
( sK166(Eq_x_0,Eq_x_1,Eq_x_2) = sK166(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_482,axiom,
( sK167(Eq_x_0,Eq_x_1,Eq_x_2) = sK167(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_483,axiom,
( sK168(Eq_x_0,Eq_x_1,Eq_x_2) = sK168(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_484,axiom,
( sK169(Eq_x_0,Eq_x_1,Eq_x_2) = sK169(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_485,axiom,
( sK170(Eq_x_0,Eq_x_1,Eq_x_2) = sK170(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_486,axiom,
( sK171(Eq_x_0,Eq_x_1,Eq_x_2) = sK171(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_487,axiom,
( sK172(Eq_x_0,Eq_x_1,Eq_x_2) = sK172(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_488,axiom,
( sK173(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK173(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_489,axiom,
( sK174(Eq_x_0,Eq_x_1,Eq_x_2) = sK174(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_490,axiom,
( sK175(Eq_x_0,Eq_x_1,Eq_x_2) = sK175(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_491,axiom,
( sK176(Eq_x_0,Eq_x_1,Eq_x_2) = sK176(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_492,axiom,
( sK177(Eq_x_0,Eq_x_1,Eq_x_2) = sK177(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_493,axiom,
( sK178(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK178(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_494,axiom,
( sK179(Eq_x_0,Eq_x_1,Eq_x_2) = sK179(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_495,axiom,
( sK180(Eq_x_0,Eq_x_1,Eq_x_2) = sK180(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_496,axiom,
( sK181(Eq_x_0,Eq_x_1,Eq_x_2) = sK181(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_497,axiom,
( sK182(Eq_x_0,Eq_x_1,Eq_x_2) = sK182(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_498,axiom,
( sK183(Eq_x_0) = sK183(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_499,axiom,
( sK190(Eq_x_0) = sK190(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_500,axiom,
( sK191(Eq_x_0) = sK191(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_501,axiom,
( sK192(Eq_x_0) = sK192(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_502,axiom,
( sK193(Eq_x_0) = sK193(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_503,axiom,
( sK194(Eq_x_0) = sK194(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_504,axiom,
( sK195(Eq_x_0) = sK195(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_505,axiom,
( sK196(Eq_x_0) = sK196(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_506,axiom,
( sK197(Eq_x_0,Eq_x_1) = sK197(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_507,axiom,
( sK198(Eq_x_0,Eq_x_1,Eq_x_2) = sK198(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_508,axiom,
( sK199(Eq_x_0,Eq_x_1) = sK199(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_509,axiom,
( sK200(Eq_x_0,Eq_x_1) = sK200(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_510,axiom,
( sK201(Eq_x_0,Eq_x_1) = sK201(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_511,axiom,
( sK202(Eq_x_0,Eq_x_1) = sK202(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_512,axiom,
( sK203(Eq_x_0) = sK203(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_513,axiom,
( sK204(Eq_x_0) = sK204(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_514,axiom,
( sK205(Eq_x_0,Eq_x_1) = sK205(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_515,axiom,
( sK206(Eq_x_0,Eq_x_1) = sK206(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_516,axiom,
( sK207(Eq_x_0,Eq_x_1,Eq_x_2) = sK207(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_517,axiom,
( sK208(Eq_x_0,Eq_x_1,Eq_x_2) = sK208(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_518,axiom,
( sK209(Eq_x_0,Eq_x_1,Eq_x_2) = sK209(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_519,axiom,
( sK210(Eq_x_0,Eq_x_1) = sK210(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_520,axiom,
( sK211(Eq_x_0,Eq_x_1) = sK211(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_521,axiom,
( sK212(Eq_x_0,Eq_x_1) = sK212(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_522,axiom,
( sK213(Eq_x_0) = sK213(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_523,axiom,
( sK214(Eq_x_0) = sK214(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_524,axiom,
( sK215(Eq_x_0) = sK215(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_525,axiom,
( sK216(Eq_x_0) = sK216(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_526,axiom,
( sK217(Eq_x_0,Eq_x_1) = sK217(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_527,axiom,
( sK218(Eq_x_0,Eq_x_1) = sK218(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_528,axiom,
( sK219(Eq_x_0,Eq_x_1) = sK219(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_529,axiom,
( sK220(Eq_x_0,Eq_x_1) = sK220(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_530,axiom,
( sK221(Eq_x_0,Eq_x_1) = sK221(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_531,axiom,
( sK222(Eq_x_0,Eq_x_1) = sK222(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_532,axiom,
( sK223(Eq_x_0,Eq_x_1,Eq_x_2) = sK223(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_533,axiom,
( sK224(Eq_x_0,Eq_x_1,Eq_x_2) = sK224(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_534,axiom,
( sK225(Eq_x_0,Eq_x_1,Eq_x_2) = sK225(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_535,axiom,
( sK226(Eq_x_0,Eq_x_1,Eq_x_2) = sK226(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_536,axiom,
( sK227(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK227(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_537,axiom,
( sK228(Eq_x_0,Eq_x_1,Eq_x_2) = sK228(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_538,axiom,
( sK229(Eq_x_0,Eq_x_1,Eq_x_2) = sK229(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_539,axiom,
( sK230(Eq_x_0,Eq_x_1,Eq_x_2) = sK230(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_540,axiom,
( sK231(Eq_x_0) = sK231(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_541,axiom,
( sK232(Eq_x_0) = sK232(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_542,axiom,
( sK233(Eq_x_0) = sK233(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_543,axiom,
( sK234(Eq_x_0) = sK234(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_544,axiom,
( sK235(Eq_x_0,Eq_x_1,Eq_x_2) = sK235(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_545,axiom,
( sK236(Eq_x_0,Eq_x_1,Eq_x_2) = sK236(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_546,axiom,
( sK237(Eq_x_0,Eq_x_1) = sK237(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_547,axiom,
( sK238(Eq_x_0) = sK238(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_548,axiom,
( sK239(Eq_x_0,Eq_x_1) = sK239(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_549,axiom,
( sK240(Eq_x_0) = sK240(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_550,axiom,
( sK241(Eq_x_0,Eq_x_1) = sK241(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_551,axiom,
( sK242(Eq_x_0) = sK242(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_552,axiom,
( sK243(Eq_x_0) = sK243(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_553,axiom,
( sK244(Eq_x_0) = sK244(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_554,axiom,
( sK260(Eq_x_0) = sK260(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_555,axiom,
( sK261(Eq_x_0) = sK261(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_556,axiom,
( sK262(Eq_x_0) = sK262(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_557,axiom,
( sK263(Eq_x_0) = sK263(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_558,axiom,
( sK264(Eq_x_0,Eq_x_1) = sK264(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_559,axiom,
( sK265(Eq_x_0) = sK265(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_560,axiom,
( sK266(Eq_x_0) = sK266(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_561,axiom,
( sK267(Eq_x_0) = sK267(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_562,axiom,
( sK268(Eq_x_0) = sK268(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_563,axiom,
( sK269(Eq_x_0) = sK269(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_564,axiom,
( sK270(Eq_x_0) = sK270(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_565,axiom,
( sK271(Eq_x_0) = sK271(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_566,axiom,
( sK272(Eq_x_0) = sK272(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_567,axiom,
( sK273(Eq_x_0) = sK273(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_568,axiom,
( sK274(Eq_x_0) = sK274(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_569,axiom,
( sK275(Eq_x_0) = sK275(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_570,axiom,
( sK276(Eq_x_0) = sK276(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_571,axiom,
( sK286(Eq_x_0) = sK286(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_572,axiom,
( sK290(Eq_x_0) = sK290(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_573,axiom,
( sK291(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK291(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_574,axiom,
( sK292(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK292(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_575,axiom,
( sK293(Eq_x_0,Eq_x_1,Eq_x_2) = sK293(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_576,axiom,
( sK294(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK294(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_577,axiom,
( sK295(Eq_x_0,Eq_x_1,Eq_x_2) = sK295(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_578,axiom,
( sK296(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK296(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_579,axiom,
( sK297(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK297(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_580,axiom,
( sK298(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK298(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_581,axiom,
( sK299(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK299(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_582,axiom,
( sK300(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK300(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_583,axiom,
( sK301(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK301(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_584,axiom,
( sK302(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK302(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_585,axiom,
( sK303(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK303(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_586,axiom,
( sK306(Eq_x_0,Eq_x_1) = sK306(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_587,axiom,
( sK307(Eq_x_0,Eq_x_1) = sK307(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_588,axiom,
( sK308(Eq_x_0,Eq_x_1) = sK308(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_589,axiom,
( sK309(Eq_x_0) = sK309(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_590,axiom,
( sK310(Eq_x_0,Eq_x_1,Eq_x_2) = sK310(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_591,axiom,
( sK311(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK311(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_592,axiom,
( sK312(Eq_x_0,Eq_x_1,Eq_x_2) = sK312(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_593,axiom,
( sK313(Eq_x_0,Eq_x_1,Eq_x_2) = sK313(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_594,axiom,
( sK314(Eq_x_0,Eq_x_1,Eq_x_2) = sK314(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_595,axiom,
( sK315(Eq_x_0,Eq_x_1,Eq_x_2) = sK315(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_596,axiom,
( sK316(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK316(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_597,axiom,
( sK317(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK317(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_598,axiom,
( sK318(Eq_x_0,Eq_x_1,Eq_x_2) = sK318(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_599,axiom,
( sK319(Eq_x_0,Eq_x_1,Eq_x_2) = sK319(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_600,axiom,
( sK320(Eq_x_0,Eq_x_1,Eq_x_2) = sK320(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_601,axiom,
( sK321(Eq_x_0,Eq_x_1,Eq_x_2) = sK321(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_602,axiom,
( sK322(Eq_x_0,Eq_x_1,Eq_x_2) = sK322(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_603,axiom,
( sK323(Eq_x_0,Eq_x_1,Eq_x_2) = sK323(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_604,axiom,
( sK324(Eq_x_0,Eq_x_1,Eq_x_2) = sK324(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_605,axiom,
( sK325(Eq_x_0,Eq_x_1,Eq_x_2) = sK325(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_606,axiom,
( sK326(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK326(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_607,axiom,
( sK327(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK327(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_608,axiom,
( sK328(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK328(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_609,axiom,
( sK329(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK329(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_610,axiom,
( sK330(Eq_x_0,Eq_x_1,Eq_x_2) = sK330(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_611,axiom,
( sK331(Eq_x_0,Eq_x_1) = sK331(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_612,axiom,
( sK332(Eq_x_0,Eq_x_1) = sK332(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_613,axiom,
( sK333(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK333(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_614,axiom,
( sK334(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK334(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_615,axiom,
( sK335(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK335(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_616,axiom,
( sK336(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK336(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_617,axiom,
( sK337(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK337(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_618,axiom,
( sK338(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK338(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_619,axiom,
( sK339(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK339(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_620,axiom,
( sK340(Eq_x_0,Eq_x_1,Eq_x_2) = sK340(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_621,axiom,
( sK341(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK341(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_622,axiom,
( sK342(Eq_x_0,Eq_x_1,Eq_x_2) = sK342(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_623,axiom,
( sK343(Eq_x_0,Eq_x_1,Eq_x_2) = sK343(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_624,axiom,
( sK344(Eq_x_0,Eq_x_1) = sK344(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_625,axiom,
( sK345(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK345(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_626,axiom,
( sK346(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK346(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_627,axiom,
( sK347(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK347(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_628,axiom,
( sK377(Eq_x_0,Eq_x_1) = sK377(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_629,axiom,
( sK378(Eq_x_0,Eq_x_1) = sK378(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_630,axiom,
( sK379(Eq_x_0,Eq_x_1,Eq_x_2) = sK379(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_631,axiom,
( sK380(Eq_x_0,Eq_x_1) = sK380(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_632,axiom,
( sK381(Eq_x_0,Eq_x_1) = sK381(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_633,axiom,
( sK382(Eq_x_0,Eq_x_1) = sK382(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_634,axiom,
( sK383(Eq_x_0) = sK383(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_635,axiom,
( sK384(Eq_x_0) = sK384(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_636,axiom,
( sK385(Eq_x_0) = sK385(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_637,axiom,
( sK386(Eq_x_0,Eq_x_1) = sK386(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_638,axiom,
( sK387(Eq_x_0,Eq_x_1) = sK387(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_639,axiom,
( sK388(Eq_x_0,Eq_x_1) = sK388(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_640,axiom,
( sK389(Eq_x_0,Eq_x_1) = sK389(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_641,axiom,
( sK390(Eq_x_0) = sK390(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_642,axiom,
( sK391(Eq_x_0,Eq_x_1) = sK391(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_643,axiom,
( sK392(Eq_x_0,Eq_x_1,Eq_x_2) = sK392(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_644,axiom,
( sK393(Eq_x_0,Eq_x_1) = sK393(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_645,axiom,
( sK394(Eq_x_0,Eq_x_1,Eq_x_2) = sK394(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_646,axiom,
( sK395(Eq_x_0,Eq_x_1) = sK395(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_647,axiom,
( sK396(Eq_x_0,Eq_x_1,Eq_x_2) = sK396(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_648,axiom,
( sK397(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK397(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_649,axiom,
( sK398(Eq_x_0,Eq_x_1) = sK398(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_650,axiom,
( sK399(Eq_x_0,Eq_x_1) = sK399(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_651,axiom,
( sK400(Eq_x_0,Eq_x_1,Eq_x_2) = sK400(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_652,axiom,
( sK401(Eq_x_0) = sK401(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_653,axiom,
( sK402(Eq_x_0) = sK402(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_654,axiom,
( sK403(Eq_x_0) = sK403(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_655,axiom,
( sK404(Eq_x_0) = sK404(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_656,axiom,
( sK405(Eq_x_0,Eq_x_1,Eq_x_2) = sK405(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_657,axiom,
( sK406(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK406(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_658,axiom,
( sK407(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK407(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_659,axiom,
( sK408(Eq_x_0,Eq_x_1,Eq_x_2) = sK408(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_660,axiom,
( sK409(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK409(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_661,axiom,
( sK410(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK410(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_662,axiom,
( sK411(Eq_x_0,Eq_x_1,Eq_x_2) = sK411(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_663,axiom,
( sK412(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK412(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_664,axiom,
( sK413(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK413(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_665,axiom,
( sK414(Eq_x_0,Eq_x_1,Eq_x_2) = sK414(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_666,axiom,
( sK415(Eq_x_0,Eq_x_1,Eq_x_2) = sK415(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_667,axiom,
( sK416(Eq_x_0,Eq_x_1,Eq_x_2) = sK416(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_668,axiom,
( sK417(Eq_x_0) = sK417(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_669,axiom,
( sK418(Eq_x_0) = sK418(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_670,axiom,
( sK430(Eq_x_0) = sK430(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_671,axiom,
( sK431(Eq_x_0) = sK431(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_672,axiom,
( sK438(Eq_x_0,Eq_x_1) = sK438(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_673,axiom,
( sK439(Eq_x_0,Eq_x_1) = sK439(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_674,axiom,
( sK440(Eq_x_0,Eq_x_1,Eq_x_2) = sK440(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_675,axiom,
( sK441(Eq_x_0,Eq_x_1,Eq_x_2) = sK441(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_676,axiom,
( sK444(Eq_x_0) = sK444(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_677,axiom,
( sK445(Eq_x_0) = sK445(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_678,axiom,
( sK450(Eq_x_0) = sK450(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_679,axiom,
( sK451(Eq_x_0) = sK451(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_680,axiom,
( sK456(Eq_x_0) = sK456(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_681,axiom,
( sK457(Eq_x_0) = sK457(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_682,axiom,
( sK464(Eq_x_0) = sK464(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_683,axiom,
( sK465(Eq_x_0) = sK465(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_684,axiom,
( sK471(Eq_x_0,Eq_x_1,Eq_x_2) = sK471(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_685,axiom,
( sK472(Eq_x_0,Eq_x_1,Eq_x_2) = sK472(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_686,axiom,
( sK473(Eq_x_0,Eq_x_1,Eq_x_2) = sK473(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_687,axiom,
( sK474(Eq_x_0,Eq_x_1,Eq_x_2) = sK474(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_688,axiom,
( sK477(Eq_x_0) = sK477(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_689,axiom,
( sK478(Eq_x_0) = sK478(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_690,axiom,
( sK482(Eq_x_0) = sK482(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_691,axiom,
( sK483(Eq_x_0) = sK483(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_692,axiom,
( sK487(Eq_x_0) = sK487(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_693,axiom,
( sK488(Eq_x_0) = sK488(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_694,axiom,
( sK492(Eq_x_0) = sK492(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_695,axiom,
( sK493(Eq_x_0) = sK493(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_696,axiom,
( sK494(Eq_x_0) = sK494(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_697,axiom,
( sK495(Eq_x_0) = sK495(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_698,axiom,
( sK496(Eq_x_0,Eq_x_1) = sK496(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_699,axiom,
( sK497(Eq_x_0) = sK497(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_700,axiom,
( sK498(Eq_x_0) = sK498(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_701,axiom,
( sK499(Eq_x_0) = sK499(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_702,axiom,
( sK504(Eq_x_0) = sK504(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_703,axiom,
( sK505(Eq_x_0,Eq_x_1,Eq_x_2) = sK505(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_704,axiom,
( sK506(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK506(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_705,axiom,
( sK511(Eq_x_0) = sK511(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_706,axiom,
( sK513(Eq_x_0) = sK513(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_707,axiom,
( sK518(Eq_x_0,Eq_x_1) = sK518(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_708,axiom,
( sK519(Eq_x_0,Eq_x_1,Eq_x_2) = sK519(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_709,axiom,
( sK544(Eq_x_0) = sK544(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_710,axiom,
( sK545(Eq_x_0) = sK545(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_711,axiom,
( sK546(Eq_x_0) = sK546(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_712,axiom,
( sK547(Eq_x_0) = sK547(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_713,axiom,
( sK548(Eq_x_0) = sK548(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_714,axiom,
( sK549(Eq_x_0) = sK549(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_715,axiom,
( sK550(Eq_x_0) = sK550(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_716,axiom,
( sK551(Eq_x_0) = sK551(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_717,axiom,
( sK552(Eq_x_0) = sK552(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_718,axiom,
( sK553(Eq_x_0) = sK553(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_719,axiom,
( sK554(Eq_x_0) = sK554(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_720,axiom,
( sK555(Eq_x_0) = sK555(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_721,axiom,
( sK556(Eq_x_0) = sK556(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_722,axiom,
( sK557(Eq_x_0) = sK557(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_723,axiom,
( sK558(Eq_x_0) = sK558(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_724,axiom,
( sK559(Eq_x_0) = sK559(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_725,axiom,
( sK560(Eq_x_0) = sK560(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_726,axiom,
( sK561(Eq_x_0) = sK561(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_727,axiom,
( sK562(Eq_x_0) = sK562(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_728,axiom,
( sK563(Eq_x_0) = sK563(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_729,axiom,
( sK564(Eq_x_0) = sK564(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_730,axiom,
( sK565(Eq_x_0) = sK565(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_731,axiom,
( sK566(Eq_x_0) = sK566(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_732,axiom,
( sK567(Eq_x_0) = sK567(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_733,axiom,
( sK568(Eq_x_0) = sK568(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_734,axiom,
( sK569(Eq_x_0) = sK569(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_735,axiom,
( sK570(Eq_x_0) = sK570(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_736,axiom,
( sK571(Eq_x_0) = sK571(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_737,axiom,
( sK572(Eq_x_0) = sK572(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_738,axiom,
( sK573(Eq_x_0) = sK573(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_739,axiom,
( sK574(Eq_x_0) = sK574(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_740,axiom,
( sK575(Eq_x_0) = sK575(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_741,axiom,
( sK576(Eq_x_0) = sK576(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_742,axiom,
( sK577(Eq_x_0) = sK577(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_743,axiom,
( sK578(Eq_x_0) = sK578(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_744,axiom,
( sK579(Eq_x_0) = sK579(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_745,axiom,
( sK580(Eq_x_0) = sK580(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_746,axiom,
( sK581(Eq_x_0) = sK581(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_747,axiom,
( sK582(Eq_x_0) = sK582(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_748,axiom,
( sK583(Eq_x_0) = sK583(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_749,axiom,
( sK584(Eq_x_0) = sK584(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_750,axiom,
( sK585(Eq_x_0) = sK585(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_751,axiom,
( sK586(Eq_x_0) = sK586(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_752,axiom,
( sK587(Eq_x_0) = sK587(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_753,axiom,
( sK588(Eq_x_0) = sK588(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_754,axiom,
( sK589(Eq_x_0) = sK589(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_755,axiom,
( sK590(Eq_x_0) = sK590(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_756,axiom,
( sK591(Eq_x_0) = sK591(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_757,axiom,
( sK592(Eq_x_0) = sK592(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_758,axiom,
( sK593(Eq_x_0) = sK593(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_759,axiom,
( sK594(Eq_x_0) = sK594(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_760,axiom,
( sK595(Eq_x_0) = sK595(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_761,axiom,
( sK596(Eq_x_0) = sK596(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_762,axiom,
( sK597(Eq_x_0) = sK597(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_763,axiom,
( sK598(Eq_x_0) = sK598(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_764,axiom,
( sK599(Eq_x_0) = sK599(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_765,axiom,
( sK600(Eq_x_0) = sK600(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_766,axiom,
( sK601(Eq_x_0) = sK601(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_767,axiom,
( sK602(Eq_x_0) = sK602(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_768,axiom,
( sK603(Eq_x_0) = sK603(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_769,axiom,
( sK604(Eq_x_0) = sK604(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_770,axiom,
( sK609(Eq_x_0,Eq_x_1) = sK609(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_771,axiom,
( sK610(Eq_x_0,Eq_x_1) = sK610(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_772,axiom,
( sK611(Eq_x_0,Eq_x_1) = sK611(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_773,axiom,
( sK612(Eq_x_0,Eq_x_1) = sK612(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_774,axiom,
( sK615(Eq_x_0,Eq_x_1) = sK615(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_775,axiom,
( sK616(Eq_x_0) = sK616(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_776,axiom,
( sK617(Eq_x_0) = sK617(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_777,axiom,
( sK618(Eq_x_0) = sK618(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_778,axiom,
( sK619(Eq_x_0) = sK619(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_779,axiom,
( sK620(Eq_x_0,Eq_x_1,Eq_x_2) = sK620(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_780,axiom,
( sK621(Eq_x_0,Eq_x_1) = sK621(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_781,axiom,
( sK622(Eq_x_0,Eq_x_1) = sK622(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_782,axiom,
( sK633(Eq_x_0) = sK633(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_783,axiom,
( sK634(Eq_x_0,Eq_x_1) = sK634(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_784,axiom,
( sK635(Eq_x_0) = sK635(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_785,axiom,
( sK636(Eq_x_0,Eq_x_1) = sK636(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_786,axiom,
( sK637(Eq_x_0,Eq_x_1) = sK637(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_787,axiom,
( sK638(Eq_x_0,Eq_x_1) = sK638(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_788,axiom,
( sK639(Eq_x_0) = sK639(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_789,axiom,
( sK640(Eq_x_0,Eq_x_1) = sK640(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_790,axiom,
( sK641(Eq_x_0,Eq_x_1,Eq_x_2) = sK641(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_791,axiom,
( sK642(Eq_x_0,Eq_x_1,Eq_x_2) = sK642(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_792,axiom,
( sK643(Eq_x_0,Eq_x_1) = sK643(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_793,axiom,
( sK644(Eq_x_0) = sK644(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_794,axiom,
( sK645(Eq_x_0) = sK645(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_795,axiom,
( sK646(Eq_x_0) = sK646(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_796,axiom,
( sK647(Eq_x_0) = sK647(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_797,axiom,
( sK652(Eq_x_0) = sK652(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_798,axiom,
( sK654(Eq_x_0) = sK654(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_799,axiom,
( sK659(Eq_x_0) = sK659(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_800,axiom,
( sK660(Eq_x_0) = sK660(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_801,axiom,
( sK661(Eq_x_0,Eq_x_1) = sK661(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_802,axiom,
( sK662(Eq_x_0,Eq_x_1) = sK662(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_803,axiom,
( sK663(Eq_x_0,Eq_x_1) = sK663(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_804,axiom,
( sK664(Eq_x_0,Eq_x_1) = sK664(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_805,axiom,
( sK665(Eq_x_0,Eq_x_1,Eq_x_2) = sK665(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_806,axiom,
( sK666(Eq_x_0,Eq_x_1,Eq_x_2) = sK666(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_807,axiom,
( sK667(Eq_x_0,Eq_x_1,Eq_x_2) = sK667(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_808,axiom,
( sK668(Eq_x_0,Eq_x_1,Eq_x_2) = sK668(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_809,axiom,
( sK669(Eq_x_0) = sK669(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_810,axiom,
( sK670(Eq_x_0) = sK670(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_811,axiom,
( sK671(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK671(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_812,axiom,
( sK672(Eq_x_0,Eq_x_1) = sK672(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_813,axiom,
( sK673(Eq_x_0,Eq_x_1) = sK673(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_814,axiom,
( sK674(Eq_x_0) = sK674(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_815,axiom,
( sK675(Eq_x_0,Eq_x_1) = sK675(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_816,axiom,
( sK676(Eq_x_0,Eq_x_1) = sK676(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_817,axiom,
( sK677(Eq_x_0,Eq_x_1) = sK677(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_818,axiom,
( sK678(Eq_x_0,Eq_x_1) = sK678(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_819,axiom,
( sK679(Eq_x_0) = sK679(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_820,axiom,
( sK680(Eq_x_0) = sK680(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_821,axiom,
( sK681(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK681(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_822,axiom,
( sK682(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK682(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_823,axiom,
( sK683(Eq_x_0,Eq_x_1) = sK683(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_824,axiom,
( sK684(Eq_x_0,Eq_x_1) = sK684(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_825,axiom,
( sK685(Eq_x_0,Eq_x_1,Eq_x_2) = sK685(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_826,axiom,
( sK686(Eq_x_0,Eq_x_1) = sK686(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_827,axiom,
( sK687(Eq_x_0,Eq_x_1) = sK687(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_828,axiom,
( sK688(Eq_x_0,Eq_x_1) = sK688(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_829,axiom,
( sK698(Eq_x_0) = sK698(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_830,axiom,
( sK701(Eq_x_0) = sK701(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_831,axiom,
( sK702(Eq_x_0) = sK702(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_832,axiom,
( sK703(Eq_x_0,Eq_x_1) = sK703(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_833,axiom,
( sK708(Eq_x_0) = sK708(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_834,axiom,
( sK709(Eq_x_0,Eq_x_1) = sK709(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_835,axiom,
( sK718(Eq_x_0) = sK718(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_836,axiom,
( sK719(Eq_x_0) = sK719(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_837,axiom,
( sK720(Eq_x_0) = sK720(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_838,axiom,
( sK721(Eq_x_0) = sK721(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_839,axiom,
( sK722(Eq_x_0) = sK722(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_840,axiom,
( sK723(Eq_x_0) = sK723(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_841,axiom,
( sK724(Eq_x_0,Eq_x_1) = sK724(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_842,axiom,
( sK725(Eq_x_0) = sK725(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_843,axiom,
( sK726(Eq_x_0) = sK726(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_844,axiom,
( sK727(Eq_x_0) = sK727(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_845,axiom,
( sK728(Eq_x_0) = sK728(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_846,axiom,
( sK729(Eq_x_0) = sK729(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_847,axiom,
( sK730(Eq_x_0) = sK730(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_848,axiom,
( sK731(Eq_x_0) = sK731(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_849,axiom,
( sK732(Eq_x_0) = sK732(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_850,axiom,
( sK733(Eq_x_0) = sK733(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_851,axiom,
( sK734(Eq_x_0) = sK734(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_852,axiom,
( sK735(Eq_x_0) = sK735(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_853,axiom,
( sK736(Eq_x_0) = sK736(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_854,axiom,
( sK737(Eq_x_0) = sK737(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_855,axiom,
( sK738(Eq_x_0) = sK738(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_856,axiom,
( sK739(Eq_x_0) = sK739(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_857,axiom,
( sK740(Eq_x_0) = sK740(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_858,axiom,
( sK741(Eq_x_0) = sK741(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_859,axiom,
( sK742(Eq_x_0) = sK742(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_860,axiom,
( sK743(Eq_x_0) = sK743(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_861,axiom,
( sK744(Eq_x_0) = sK744(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_862,axiom,
( sK745(Eq_x_0) = sK745(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_863,axiom,
( sK746(Eq_x_0) = sK746(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_864,axiom,
( sK747(Eq_x_0) = sK747(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_865,axiom,
( sK748(Eq_x_0) = sK748(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_866,axiom,
( sK749(Eq_x_0) = sK749(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_867,axiom,
( sK750(Eq_x_0) = sK750(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_868,axiom,
( sK751(Eq_x_0) = sK751(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_869,axiom,
( sK752(Eq_x_0) = sK752(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_870,axiom,
( sK753(Eq_x_0,Eq_x_1,Eq_x_2) = sK753(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_871,axiom,
( sK754(Eq_x_0,Eq_x_1,Eq_x_2) = sK754(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_872,axiom,
( sK755(Eq_x_0,Eq_x_1,Eq_x_2) = sK755(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_873,axiom,
( sK756(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK756(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_874,axiom,
( sK757(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK757(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_875,axiom,
( sK758(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK758(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_876,axiom,
( sK759(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK759(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_877,axiom,
( sK760(Eq_x_0,Eq_x_1,Eq_x_2) = sK760(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_878,axiom,
( sK761(Eq_x_0,Eq_x_1,Eq_x_2) = sK761(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_879,axiom,
( sK764(Eq_x_0) = sK764(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_880,axiom,
( sK765(Eq_x_0,Eq_x_1) = sK765(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_881,axiom,
( sK766(Eq_x_0,Eq_x_1) = sK766(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_882,axiom,
( sK767(Eq_x_0,Eq_x_1) = sK767(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_883,axiom,
( sK768(Eq_x_0,Eq_x_1) = sK768(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_884,axiom,
( sK769(Eq_x_0,Eq_x_1,Eq_x_2) = sK769(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_885,axiom,
( sK770(Eq_x_0,Eq_x_1,Eq_x_2) = sK770(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_886,axiom,
( sK771(Eq_x_0,Eq_x_1) = sK771(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_887,axiom,
( sK772(Eq_x_0,Eq_x_1) = sK772(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_888,axiom,
( sK773(Eq_x_0,Eq_x_1,Eq_x_2) = sK773(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_889,axiom,
( sK774(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK774(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_890,axiom,
( sK775(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK775(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_891,axiom,
( sK776(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK776(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_892,axiom,
( sK777(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK777(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_893,axiom,
( sK778(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK778(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_894,axiom,
( sK779(Eq_x_0,Eq_x_1) = sK779(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_895,axiom,
( sK780(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK780(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_896,axiom,
( sK781(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK781(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_897,axiom,
( sK782(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK782(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_898,axiom,
( sK783(Eq_x_0) = sK783(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_899,axiom,
( sK784(Eq_x_0,Eq_x_1) = sK784(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_900,axiom,
( sK785(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK785(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_901,axiom,
( sK786(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK786(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_902,axiom,
( sK787(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK787(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_903,axiom,
( sK792(Eq_x_0) = sK792(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_904,axiom,
( sK793(Eq_x_0,Eq_x_1) = sK793(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_905,axiom,
( sK794(Eq_x_0) = sK794(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_906,axiom,
( sK795(Eq_x_0,Eq_x_1) = sK795(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_907,axiom,
( sK796(Eq_x_0,Eq_x_1) = sK796(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_908,axiom,
( sK797(Eq_x_0) = sK797(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_909,axiom,
( sK798(Eq_x_0) = sK798(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_910,axiom,
( sK799(Eq_x_0) = sK799(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_911,axiom,
( sK800(Eq_x_0) = sK800(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_912,axiom,
( sK801(Eq_x_0) = sK801(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_913,axiom,
( sK802(Eq_x_0) = sK802(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_914,axiom,
( sK803(Eq_x_0,Eq_x_1) = sK803(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_915,axiom,
( sK804(Eq_x_0) = sK804(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_916,axiom,
( sK805(Eq_x_0) = sK805(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_917,axiom,
( sK806(Eq_x_0) = sK806(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_918,axiom,
( sK807(Eq_x_0) = sK807(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_919,axiom,
( sK808(Eq_x_0) = sK808(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_920,axiom,
( sK809(Eq_x_0,Eq_x_1) = sK809(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_921,axiom,
( sK810(Eq_x_0,Eq_x_1) = sK810(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_922,axiom,
( sK811(Eq_x_0,Eq_x_1,Eq_x_2) = sK811(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_923,axiom,
( sK812(Eq_x_0,Eq_x_1,Eq_x_2) = sK812(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_924,axiom,
( sK813(Eq_x_0,Eq_x_1) = sK813(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_925,axiom,
( sK814(Eq_x_0,Eq_x_1) = sK814(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_926,axiom,
( sK815(Eq_x_0,Eq_x_1) = sK815(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_927,axiom,
( sK816(Eq_x_0,Eq_x_1) = sK816(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_928,axiom,
( sK817(Eq_x_0,Eq_x_1,Eq_x_2) = sK817(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_929,axiom,
( sK818(Eq_x_0,Eq_x_1) = sK818(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_930,axiom,
( sK819(Eq_x_0) = sK819(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_931,axiom,
( sK820(Eq_x_0) = sK820(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_932,axiom,
( sK832(Eq_x_0) = sK832(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_933,axiom,
( sK833(Eq_x_0) = sK833(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_934,axiom,
( sK834(Eq_x_0) = sK834(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_935,axiom,
( sK837(Eq_x_0) = sK837(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_936,axiom,
( sK838(Eq_x_0) = sK838(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_937,axiom,
( sK839(Eq_x_0) = sK839(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_938,axiom,
( sK840(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK840(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_939,axiom,
( sK841(Eq_x_0) = sK841(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_940,axiom,
( sK842(Eq_x_0) = sK842(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_941,axiom,
( sK843(Eq_x_0) = sK843(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_942,axiom,
( sK844(Eq_x_0) = sK844(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_943,axiom,
( sK845(Eq_x_0) = sK845(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_944,axiom,
( sK846(Eq_x_0) = sK846(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_945,axiom,
( sK847(Eq_x_0) = sK847(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_946,axiom,
( sK848(Eq_x_0) = sK848(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_947,axiom,
( sK849(Eq_x_0) = sK849(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_948,axiom,
( sK850(Eq_x_0) = sK850(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_949,axiom,
( sK851(Eq_x_0) = sK851(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_950,axiom,
( sK852(Eq_x_0,Eq_x_1) = sK852(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_951,axiom,
( sK853(Eq_x_0) = sK853(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_952,axiom,
( sK854(Eq_x_0,Eq_x_1,Eq_x_2) = sK854(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_953,axiom,
( sK855(Eq_x_0) = sK855(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_954,axiom,
( sK856(Eq_x_0) = sK856(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_955,axiom,
( sK857(Eq_x_0) = sK857(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_956,axiom,
( sK858(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK858(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_957,axiom,
( sK859(Eq_x_0,Eq_x_1) = sK859(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_958,axiom,
( sK860(Eq_x_0,Eq_x_1) = sK860(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_959,axiom,
( sK861(Eq_x_0,Eq_x_1) = sK861(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_960,axiom,
( sK862(Eq_x_0,Eq_x_1) = sK862(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_961,axiom,
( sK863(Eq_x_0,Eq_x_1) = sK863(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_962,axiom,
( sK864(Eq_x_0) = sK864(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_963,axiom,
( sK868(Eq_x_0) = sK868(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_964,axiom,
( sK869(Eq_x_0) = sK869(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_965,axiom,
( sK870(Eq_x_0) = sK870(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_966,axiom,
( sK871(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK871(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_967,axiom,
( sK872(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK872(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_968,axiom,
( sK873(Eq_x_0,Eq_x_1,Eq_x_2) = sK873(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_969,axiom,
( sK874(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK874(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_970,axiom,
( sK875(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK875(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_971,axiom,
( sK876(Eq_x_0,Eq_x_1,Eq_x_2) = sK876(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_972,axiom,
( sK877(Eq_x_0,Eq_x_1) = sK877(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_973,axiom,
( sK878(Eq_x_0,Eq_x_1,Eq_x_2) = sK878(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_974,axiom,
( sK879(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK879(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_975,axiom,
( sK880(Eq_x_0,Eq_x_1,Eq_x_2) = sK880(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_976,axiom,
( sK881(Eq_x_0,Eq_x_1) = sK881(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_977,axiom,
( sK882(Eq_x_0,Eq_x_1,Eq_x_2) = sK882(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_978,axiom,
( sK883(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK883(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_979,axiom,
( sK884(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK884(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_980,axiom,
( sK885(Eq_x_0,Eq_x_1) = sK885(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_981,axiom,
( sK886(Eq_x_0,Eq_x_1) = sK886(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_982,axiom,
( sK887(Eq_x_0,Eq_x_1) = sK887(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_983,axiom,
( sK888(Eq_x_0,Eq_x_1) = sK888(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_984,axiom,
( sK889(Eq_x_0,Eq_x_1) = sK889(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_985,axiom,
( sK890(Eq_x_0,Eq_x_1) = sK890(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_986,axiom,
( sK891(Eq_x_0) = sK891(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_987,axiom,
( sK892(Eq_x_0,Eq_x_1) = sK892(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_988,axiom,
( sK893(Eq_x_0,Eq_x_1,Eq_x_2) = sK893(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_989,axiom,
( sK894(Eq_x_0,Eq_x_1,Eq_x_2) = sK894(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_990,axiom,
( sK902(Eq_x_0) = sK902(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_991,axiom,
( sK903(Eq_x_0) = sK903(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_992,axiom,
( sK904(Eq_x_0,Eq_x_1) = sK904(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_993,axiom,
( sK905(Eq_x_0,Eq_x_1) = sK905(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_994,axiom,
( sK906(Eq_x_0) = sK906(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_995,axiom,
( sK907(Eq_x_0) = sK907(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_996,axiom,
( sK908(Eq_x_0,Eq_x_1) = sK908(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_997,axiom,
( sK909(Eq_x_0) = sK909(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_998,axiom,
( sK910(Eq_x_0) = sK910(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_999,axiom,
( sK911(Eq_x_0,Eq_x_1) = sK911(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1000,axiom,
( sK912(Eq_x_0) = sK912(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1001,axiom,
( sK913(Eq_x_0) = sK913(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1002,axiom,
( sK914(Eq_x_0) = sK914(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1003,axiom,
( sK915(Eq_x_0) = sK915(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1004,axiom,
( sK916(Eq_x_0) = sK916(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1005,axiom,
( sK917(Eq_x_0) = sK917(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1006,axiom,
( sK918(Eq_x_0) = sK918(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1007,axiom,
( sK919(Eq_x_0,Eq_x_1,Eq_x_2) = sK919(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1008,axiom,
( sK920(Eq_x_0,Eq_x_1) = sK920(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1009,axiom,
( sK921(Eq_x_0,Eq_x_1) = sK921(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1010,axiom,
( sK922(Eq_x_0,Eq_x_1) = sK922(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1011,axiom,
( sK923(Eq_x_0,Eq_x_1) = sK923(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1012,axiom,
( sK924(Eq_x_0,Eq_x_1) = sK924(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1013,axiom,
( sK925(Eq_x_0,Eq_x_1,Eq_x_2) = sK925(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1014,axiom,
( sK926(Eq_x_0,Eq_x_1,Eq_x_2) = sK926(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1015,axiom,
( sK927(Eq_x_0,Eq_x_1,Eq_x_2) = sK927(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1016,axiom,
( sK928(Eq_x_0,Eq_x_1,Eq_x_2) = sK928(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1017,axiom,
( sK929(Eq_x_0,Eq_x_1,Eq_x_2) = sK929(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1018,axiom,
( sK930(Eq_x_0,Eq_x_1,Eq_x_2) = sK930(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1019,axiom,
( sK931(Eq_x_0,Eq_x_1,Eq_x_2) = sK931(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1020,axiom,
( sK932(Eq_x_0,Eq_x_1,Eq_x_2) = sK932(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1021,axiom,
( sK933(Eq_x_0,Eq_x_1,Eq_x_2) = sK933(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1022,axiom,
( sK934(Eq_x_0) = sK934(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1023,axiom,
( sK935(Eq_x_0,Eq_x_1) = sK935(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1024,axiom,
( sK936(Eq_x_0,Eq_x_1) = sK936(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1025,axiom,
( sK937(Eq_x_0,Eq_x_1,Eq_x_2) = sK937(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1026,axiom,
( sK938(Eq_x_0,Eq_x_1,Eq_x_2) = sK938(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1027,axiom,
( sK939(Eq_x_0,Eq_x_1,Eq_x_2) = sK939(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1028,axiom,
( sK940(Eq_x_0,Eq_x_1,Eq_x_2) = sK940(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1029,axiom,
( sK941(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK941(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1030,axiom,
( sK942(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK942(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1031,axiom,
( sK943(Eq_x_0,Eq_x_1,Eq_x_2) = sK943(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1032,axiom,
( sK944(Eq_x_0,Eq_x_1,Eq_x_2) = sK944(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1033,axiom,
( sK945(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK945(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1034,axiom,
( sK946(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK946(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1035,axiom,
( sK947(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK947(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1036,axiom,
( sK948(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK948(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1037,axiom,
( sK949(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK949(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1038,axiom,
( sK950(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK950(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1039,axiom,
( sK951(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK951(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1040,axiom,
( sK952(Eq_x_0,Eq_x_1,Eq_x_2) = sK952(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1041,axiom,
( sK953(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK953(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1042,axiom,
( sK954(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK954(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1043,axiom,
( sK955(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK955(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1044,axiom,
( sK956(Eq_x_0,Eq_x_1) = sK956(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1045,axiom,
( sK957(Eq_x_0,Eq_x_1,Eq_x_2) = sK957(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1046,axiom,
( sK958(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK958(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1047,axiom,
( sK959(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK959(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1048,axiom,
( sK960(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK960(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1049,axiom,
( sK961(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK961(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1050,axiom,
( sK962(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK962(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1051,axiom,
( sK963(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK963(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1052,axiom,
( sK964(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK964(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1053,axiom,
( sK965(Eq_x_0,Eq_x_1,Eq_x_2) = sK965(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1054,axiom,
( sK966(Eq_x_0,Eq_x_1,Eq_x_2) = sK966(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1055,axiom,
( sK967(Eq_x_0,Eq_x_1,Eq_x_2) = sK967(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1056,axiom,
( sK968(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK968(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1057,axiom,
( sK969(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK969(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1058,axiom,
( sK970(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK970(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1059,axiom,
( sK971(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK971(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1060,axiom,
( sK972(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK972(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1061,axiom,
( sK973(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK973(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1062,axiom,
( sK974(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK974(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1063,axiom,
( sK975(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK975(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1064,axiom,
( sK976(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK976(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1065,axiom,
( sK977(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK977(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1066,axiom,
( sK978(Eq_x_0,Eq_x_1,Eq_x_2) = sK978(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1067,axiom,
( sK979(Eq_x_0,Eq_x_1,Eq_x_2) = sK979(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1068,axiom,
( sK980(Eq_x_0,Eq_x_1,Eq_x_2) = sK980(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1069,axiom,
( sK981(Eq_x_0,Eq_x_1,Eq_x_2) = sK981(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1070,axiom,
( sK982(Eq_x_0,Eq_x_1,Eq_x_2) = sK982(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1071,axiom,
( sK983(Eq_x_0,Eq_x_1,Eq_x_2) = sK983(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1072,axiom,
( sK984(Eq_x_0,Eq_x_1,Eq_x_2) = sK984(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1073,axiom,
( sK985(Eq_x_0,Eq_x_1,Eq_x_2) = sK985(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1074,axiom,
( sK986(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK986(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1075,axiom,
( sK987(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK987(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1076,axiom,
( sK988(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK988(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1077,axiom,
( sK989(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK989(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1078,axiom,
( sK990(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK990(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1079,axiom,
( sK991(Eq_x_0,Eq_x_1,Eq_x_2) = sK991(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1080,axiom,
( sK992(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK992(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1081,axiom,
( sK993(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK993(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1082,axiom,
( sK994(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK994(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1083,axiom,
( sK995(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK995(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1084,axiom,
( sK996(Eq_x_0,Eq_x_1,Eq_x_2) = sK996(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1085,axiom,
( sK997(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK997(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1086,axiom,
( sK998(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK998(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1087,axiom,
( sK999(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK999(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1088,axiom,
( sK1000(Eq_x_0,Eq_x_1) = sK1000(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1089,axiom,
( sK1001(Eq_x_0,Eq_x_1,Eq_x_2) = sK1001(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1090,axiom,
( sK1002(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK1002(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1091,axiom,
( sK1003(Eq_x_0,Eq_x_1,Eq_x_2) = sK1003(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1092,axiom,
( sK1004(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK1004(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_1093,axiom,
( r2_hidden(Eq_y_0,Eq_y_1)
| ~ r2_hidden(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1094,axiom,
( r1_tarski(Eq_y_0,Eq_y_1)
| ~ r1_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1095,axiom,
( r2_tarski(Eq_y_0,Eq_y_1)
| ~ r2_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1096,axiom,
( p1_s1_tarski(Eq_y_0,Eq_y_1)
| ~ p1_s1_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1097,axiom,
( v1_xboole_0(Eq_y_0)
| ~ v1_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1098,axiom,
( r1_xboole_0(Eq_y_0,Eq_y_1)
| ~ r1_xboole_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1099,axiom,
( r2_xboole_0(Eq_y_0,Eq_y_1)
| ~ r2_xboole_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1100,axiom,
( r3_xboole_0(Eq_y_0,Eq_y_1)
| ~ r3_xboole_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1101,axiom,
( p1_s1_xboole_0(Eq_y_0)
| ~ p1_s1_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1102,axiom,
( p1_s2_xboole_0(Eq_y_0)
| ~ p1_s2_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1103,axiom,
( p1_s3_xboole_0(Eq_y_0)
| ~ p1_s3_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1104,axiom,
( m1_subset_1(Eq_y_0,Eq_y_1)
| ~ m1_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1105,axiom,
( p1_s1_subset_1(Eq_y_0)
| ~ p1_s1_subset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1106,axiom,
( p1_s2_subset_1(Eq_y_0)
| ~ p1_s2_subset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1107,axiom,
( p1_s3_subset_1(Eq_y_0)
| ~ p1_s3_subset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1108,axiom,
( p1_s4_subset_1(Eq_y_0)
| ~ p1_s4_subset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1109,axiom,
( m2_subset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_subset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1110,axiom,
( r1_subset_1(Eq_y_0,Eq_y_1)
| ~ r1_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1111,axiom,
( r2_subset_1(Eq_y_0,Eq_y_1)
| ~ r2_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1112,axiom,
( v1_relat_1(Eq_y_0)
| ~ v1_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1113,axiom,
( v3_relat_1(Eq_y_0)
| ~ v3_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1114,axiom,
( v2_relat_1(Eq_y_0)
| ~ v2_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1115,axiom,
( p1_s1_relat_1(Eq_y_0,Eq_y_1)
| ~ p1_s1_relat_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1116,axiom,
( v1_funct_1(Eq_y_0)
| ~ v1_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1117,axiom,
( v2_funct_1(Eq_y_0)
| ~ v2_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1118,axiom,
( v1_setfam_1(Eq_y_0)
| ~ v1_setfam_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1119,axiom,
( p1_s1_funct_1(Eq_y_0,Eq_y_1)
| ~ p1_s1_funct_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1120,axiom,
( p1_s2_funct_1(Eq_y_0,Eq_y_1)
| ~ p1_s2_funct_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1121,axiom,
( v3_ordinal1(Eq_y_0)
| ~ v3_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1122,axiom,
( v1_ordinal1(Eq_y_0)
| ~ v1_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1123,axiom,
( v2_ordinal1(Eq_y_0)
| ~ v2_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1124,axiom,
( v5_ordinal1(Eq_y_0)
| ~ v5_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1125,axiom,
( r1_ordinal1(Eq_y_0,Eq_y_1)
| ~ r1_ordinal1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1126,axiom,
( v4_ordinal1(Eq_y_0)
| ~ v4_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1127,axiom,
( m1_ordinal1(Eq_y_0,Eq_y_1)
| ~ m1_ordinal1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1128,axiom,
( v6_ordinal1(Eq_y_0)
| ~ v6_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1129,axiom,
( p1_s1_ordinal1(Eq_y_0)
| ~ p1_s1_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1130,axiom,
( p1_s2_ordinal1(Eq_y_0)
| ~ p1_s2_ordinal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1131,axiom,
( m1_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1132,axiom,
( m2_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1133,axiom,
( p1_s1_relset_1(Eq_y_0,Eq_y_1)
| ~ p1_s1_relset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1134,axiom,
( p1_s2_relset_1(Eq_y_0,Eq_y_1)
| ~ p1_s2_relset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1135,axiom,
( v1_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1136,axiom,
( v1_partfun1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_partfun1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1137,axiom,
( v3_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v3_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1138,axiom,
( v2_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v2_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1139,axiom,
( v1_relat_2(Eq_y_0)
| ~ v1_relat_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1140,axiom,
( r1_partfun1(Eq_y_0,Eq_y_1)
| ~ r1_partfun1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1141,axiom,
( p1_s1_funct_2(Eq_y_0,Eq_y_1)
| ~ p1_s1_funct_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1142,axiom,
( p1_s3_funct_2(Eq_y_0,Eq_y_1)
| ~ p1_s3_funct_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1143,axiom,
( p1_s5_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ p1_s5_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1144,axiom,
( p1_s7_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ p1_s7_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1145,axiom,
( p1_s9_funct_2(Eq_y_0)
| ~ p1_s9_funct_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1146,axiom,
( p1_s14_funct_2(Eq_y_0,Eq_y_1)
| ~ p1_s14_funct_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1147,axiom,
( v1_ordinal2(Eq_y_0)
| ~ v1_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1148,axiom,
( r1_ordinal2(Eq_y_0,Eq_y_1)
| ~ r1_ordinal2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1149,axiom,
( v2_ordinal2(Eq_y_0)
| ~ v2_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1150,axiom,
( v3_ordinal2(Eq_y_0)
| ~ v3_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1151,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1152,axiom,
( p1_s1_ordinal2(Eq_y_0)
| ~ p1_s1_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1153,axiom,
( v1_finset_1(Eq_y_0)
| ~ v1_finset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1154,axiom,
( p1_s1_finset_1(Eq_y_0)
| ~ p1_s1_finset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1155,axiom,
( p1_s2_finset_1(Eq_y_0)
| ~ p1_s2_finset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1156,axiom,
( v1_fraenkel(Eq_y_0)
| ~ v1_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1157,axiom,
( m1_fraenkel(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_fraenkel(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1158,axiom,
( m2_fraenkel(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ m2_fraenkel(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1159,axiom,
( p1_s23_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s23_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1160,axiom,
( p1_s24_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s24_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1161,axiom,
( p1_s26_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s26_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1162,axiom,
( p1_s27_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s27_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1163,axiom,
( p1_s1_fraenkel(Eq_y_0)
| ~ p1_s1_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1164,axiom,
( p2_s1_fraenkel(Eq_y_0)
| ~ p2_s1_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1165,axiom,
( p1_s2_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s2_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1166,axiom,
( p2_s2_fraenkel(Eq_y_0,Eq_y_1)
| ~ p2_s2_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1167,axiom,
( p1_s3_fraenkel(Eq_y_0)
| ~ p1_s3_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1168,axiom,
( p2_s3_fraenkel(Eq_y_0)
| ~ p2_s3_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1169,axiom,
( p1_s4_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s4_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1170,axiom,
( p2_s4_fraenkel(Eq_y_0,Eq_y_1)
| ~ p2_s4_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1171,axiom,
( p1_s6_fraenkel(Eq_y_0)
| ~ p1_s6_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1172,axiom,
( p1_s8_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s8_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1173,axiom,
( p2_s8_fraenkel(Eq_y_0,Eq_y_1)
| ~ p2_s8_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1174,axiom,
( p1_s9_fraenkel(Eq_y_0)
| ~ p1_s9_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1175,axiom,
( p2_s9_fraenkel(Eq_y_0)
| ~ p2_s9_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1176,axiom,
( p2_s11_fraenkel(Eq_y_0)
| ~ p2_s11_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1177,axiom,
( p1_s11_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s11_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1178,axiom,
( p1_s12_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s12_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1179,axiom,
( p2_s12_fraenkel(Eq_y_0)
| ~ p2_s12_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1180,axiom,
( p1_s16_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s16_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1181,axiom,
( p2_s16_fraenkel(Eq_y_0,Eq_y_1)
| ~ p2_s16_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1182,axiom,
( p2_s19_fraenkel(Eq_y_0,Eq_y_1)
| ~ p2_s19_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1183,axiom,
( p1_s19_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s19_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1184,axiom,
( p1_s5_fraenkel(Eq_y_0)
| ~ p1_s5_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1185,axiom,
( p1_s7_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s7_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1186,axiom,
( p1_s10_fraenkel(Eq_y_0)
| ~ p1_s10_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1187,axiom,
( p2_s13_fraenkel(Eq_y_0)
| ~ p2_s13_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1188,axiom,
( p1_s13_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s13_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1189,axiom,
( p1_s14_fraenkel(Eq_y_0)
| ~ p1_s14_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1190,axiom,
( p2_s14_fraenkel(Eq_y_0)
| ~ p2_s14_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1191,axiom,
( p1_s15_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s15_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1192,axiom,
( p2_s15_fraenkel(Eq_y_0)
| ~ p2_s15_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1193,axiom,
( p1_s17_fraenkel(Eq_y_0)
| ~ p1_s17_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1194,axiom,
( p1_s18_fraenkel(Eq_y_0)
| ~ p1_s18_fraenkel(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1195,axiom,
( p1_s20_fraenkel(Eq_y_0,Eq_y_1)
| ~ p1_s20_fraenkel(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1196,axiom,
( v1_xreal_0(Eq_y_0)
| ~ v1_xreal_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1197,axiom,
( v1_xcmplx_0(Eq_y_0)
| ~ v1_xcmplx_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1198,axiom,
( v2_xreal_0(Eq_y_0)
| ~ v2_xreal_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1199,axiom,
( v3_xreal_0(Eq_y_0)
| ~ v3_xreal_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1200,axiom,
( r1_xreal_0(Eq_y_0,Eq_y_1)
| ~ r1_xreal_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1201,axiom,
( r1_arytm_2(Eq_y_0,Eq_y_1)
| ~ r1_arytm_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1202,axiom,
( v1_int_1(Eq_y_0)
| ~ v1_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1203,axiom,
( r1_int_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r1_int_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1204,axiom,
( r2_int_1(Eq_y_0,Eq_y_1)
| ~ r2_int_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1205,axiom,
( p1_s1_int_1(Eq_y_0)
| ~ p1_s1_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1206,axiom,
( p1_s2_int_1(Eq_y_0)
| ~ p1_s2_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1207,axiom,
( p1_s3_int_1(Eq_y_0)
| ~ p1_s3_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1208,axiom,
( p1_s4_int_1(Eq_y_0)
| ~ p1_s4_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1209,axiom,
( p1_s5_int_1(Eq_y_0)
| ~ p1_s5_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1210,axiom,
( p1_s6_int_1(Eq_y_0)
| ~ p1_s6_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1211,axiom,
( v1_card_1(Eq_y_0)
| ~ v1_card_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1212,axiom,
( r2_wellord2(Eq_y_0,Eq_y_1)
| ~ r2_wellord2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1213,axiom,
( v2_wellord1(Eq_y_0)
| ~ v2_wellord1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1214,axiom,
( v2_card_1(Eq_y_0)
| ~ v2_card_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1215,axiom,
( p1_s1_card_1(Eq_y_0)
| ~ p1_s1_card_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1216,axiom,
( p1_s2_card_1(Eq_y_0)
| ~ p1_s2_card_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1217,axiom,
( v1_finseq_1(Eq_y_0)
| ~ v1_finseq_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1218,axiom,
( m1_finseq_1(Eq_y_0,Eq_y_1)
| ~ m1_finseq_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1219,axiom,
( v2_finseq_1(Eq_y_0)
| ~ v2_finseq_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1220,axiom,
( m2_finseq_1(Eq_y_0,Eq_y_1)
| ~ m2_finseq_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1221,axiom,
( p1_s1_finseq_1(Eq_y_0,Eq_y_1)
| ~ p1_s1_finseq_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1222,axiom,
( p1_s3_finseq_1(Eq_y_0)
| ~ p1_s3_finseq_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1223,axiom,
( p1_s4_finseq_1(Eq_y_0)
| ~ p1_s4_finseq_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1224,axiom,
( p1_s5_finseq_1(Eq_y_0,Eq_y_1)
| ~ p1_s5_finseq_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1225,axiom,
( l1_struct_0(Eq_y_0)
| ~ l1_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1226,axiom,
( v1_struct_0(Eq_y_0)
| ~ v1_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1227,axiom,
( l2_struct_0(Eq_y_0)
| ~ l2_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1228,axiom,
( v2_struct_0(Eq_y_0)
| ~ v2_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1229,axiom,
( v3_struct_0(Eq_y_0)
| ~ v3_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1230,axiom,
( m1_struct_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_struct_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1231,axiom,
( l1_rlvect_1(Eq_y_0)
| ~ l1_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1232,axiom,
( v1_rlvect_1(Eq_y_0)
| ~ v1_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1233,axiom,
( l2_rlvect_1(Eq_y_0)
| ~ l2_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1234,axiom,
( v2_rlvect_1(Eq_y_0)
| ~ v2_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1235,axiom,
( v3_rlvect_1(Eq_y_0)
| ~ v3_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1236,axiom,
( v4_rlvect_1(Eq_y_0)
| ~ v4_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1237,axiom,
( v5_rlvect_1(Eq_y_0)
| ~ v5_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1238,axiom,
( v6_rlvect_1(Eq_y_0)
| ~ v6_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1239,axiom,
( v7_rlvect_1(Eq_y_0)
| ~ v7_rlvect_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1240,axiom,
( r1_rlvect_1(Eq_y_0,Eq_y_1)
| ~ r1_rlvect_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1241,axiom,
( v8_rlvect_1(Eq_y_0,Eq_y_1)
| ~ v8_rlvect_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1242,axiom,
( m1_rlsub_1(Eq_y_0,Eq_y_1)
| ~ m1_rlsub_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1243,axiom,
( v1_rlsub_1(Eq_y_0,Eq_y_1)
| ~ v1_rlsub_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1244,axiom,
( m2_rlsub_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_rlsub_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1245,axiom,
( l1_group_1(Eq_y_0)
| ~ l1_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1246,axiom,
( v1_group_1(Eq_y_0)
| ~ v1_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1247,axiom,
( v3_group_1(Eq_y_0)
| ~ v3_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1248,axiom,
( v2_group_1(Eq_y_0)
| ~ v2_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1249,axiom,
( v4_group_1(Eq_y_0)
| ~ v4_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1250,axiom,
( v7_group_1(Eq_y_0)
| ~ v7_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1251,axiom,
( v2_binop_1(Eq_y_0,Eq_y_1)
| ~ v2_binop_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1252,axiom,
( r3_binop_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r3_binop_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1253,axiom,
( v1_setwiseo(Eq_y_0,Eq_y_1)
| ~ v1_setwiseo(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1254,axiom,
( r1_finseqop(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r1_finseqop(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1255,axiom,
( v1_finseqop(Eq_y_0,Eq_y_1)
| ~ v1_finseqop(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1256,axiom,
( v5_group_1(Eq_y_0,Eq_y_1)
| ~ v5_group_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1257,axiom,
( r1_nat_1(Eq_y_0,Eq_y_1)
| ~ r1_nat_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1258,axiom,
( v6_group_1(Eq_y_0)
| ~ v6_group_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1259,axiom,
( l1_vectsp_1(Eq_y_0)
| ~ l1_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1260,axiom,
( v1_vectsp_1(Eq_y_0)
| ~ v1_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1261,axiom,
( l2_vectsp_1(Eq_y_0)
| ~ l2_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1262,axiom,
( v2_vectsp_1(Eq_y_0)
| ~ v2_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1263,axiom,
( l3_vectsp_1(Eq_y_0)
| ~ l3_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1264,axiom,
( v3_vectsp_1(Eq_y_0)
| ~ v3_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1265,axiom,
( v6_vectsp_1(Eq_y_0)
| ~ v6_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1266,axiom,
( v7_vectsp_1(Eq_y_0)
| ~ v7_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1267,axiom,
( v8_vectsp_1(Eq_y_0)
| ~ v8_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1268,axiom,
( v9_vectsp_1(Eq_y_0)
| ~ v9_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1269,axiom,
( v10_vectsp_1(Eq_y_0)
| ~ v10_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1270,axiom,
( v4_vectsp_1(Eq_y_0)
| ~ v4_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1271,axiom,
( v5_vectsp_1(Eq_y_0)
| ~ v5_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1272,axiom,
( l4_vectsp_1(Eq_y_0,Eq_y_1)
| ~ l4_vectsp_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1273,axiom,
( v11_vectsp_1(Eq_y_0,Eq_y_1)
| ~ v11_vectsp_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1274,axiom,
( v12_vectsp_1(Eq_y_0,Eq_y_1)
| ~ v12_vectsp_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1275,axiom,
( v13_vectsp_1(Eq_y_0)
| ~ v13_vectsp_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1276,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1277,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1278,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1279,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1280,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1281,axiom,
( m1_rlvect_2(Eq_y_0,Eq_y_1)
| ~ m1_rlvect_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1282,axiom,
( m2_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1283,axiom,
( r1_rlvect_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r1_rlvect_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1284,axiom,
( v1_vectsp_2(Eq_y_0)
| ~ v1_vectsp_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1285,axiom,
( v2_vectsp_2(Eq_y_0)
| ~ v2_vectsp_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1286,axiom,
( l1_vectsp_2(Eq_y_0,Eq_y_1)
| ~ l1_vectsp_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1287,axiom,
( v3_vectsp_2(Eq_y_0,Eq_y_1)
| ~ v3_vectsp_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1288,axiom,
( l2_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ l2_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1289,axiom,
( v4_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v4_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1290,axiom,
( v5_vectsp_2(Eq_y_0,Eq_y_1)
| ~ v5_vectsp_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1291,axiom,
( v6_vectsp_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v6_vectsp_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1292,axiom,
( m1_rmod_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_rmod_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1293,axiom,
( v1_rmod_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_rmod_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1294,axiom,
( m2_rmod_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ m2_rmod_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1295,axiom,
( r1_rmod_3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ r1_rmod_3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1296,axiom,
( v10_lattices(Eq_y_0)
| ~ v10_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1297,axiom,
( l3_lattices(Eq_y_0)
| ~ l3_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1298,axiom,
( v13_lattices(Eq_y_0)
| ~ v13_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1299,axiom,
( v14_lattices(Eq_y_0)
| ~ v14_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1300,axiom,
( v15_lattices(Eq_y_0)
| ~ v15_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1301,axiom,
( v12_lattices(Eq_y_0)
| ~ v12_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1302,axiom,
( m1_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1303,axiom,
( m2_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ m2_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1304,axiom,
( r1_rmod_4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ r1_rmod_4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1305,axiom,
( v1_rmod_5(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_rmod_5(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1306,axiom,
( sP0(Eq_y_0,Eq_y_1)
| ~ sP0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1307,axiom,
( sP1(Eq_y_0,Eq_y_1)
| ~ sP1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1308,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1309,axiom,
( sP3(Eq_y_0,Eq_y_1)
| ~ sP3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1310,axiom,
( sP4(Eq_y_0,Eq_y_1)
| ~ sP4(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1311,axiom,
( sP5(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP5(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1312,axiom,
( sP6(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP6(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1313,axiom,
( sP7(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP7(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1314,axiom,
( sP8(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP8(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1315,axiom,
( sP9(Eq_y_0,Eq_y_1)
| ~ sP9(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1316,axiom,
( sP10(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP10(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1317,axiom,
( sP11(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP11(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1318,axiom,
( sP12(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP12(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1319,axiom,
( sP13(Eq_y_0,Eq_y_1)
| ~ sP13(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1320,axiom,
( sP14(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP14(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1321,axiom,
( sP15(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP15(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1322,axiom,
( sP16(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP16(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1323,axiom,
( sP17(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP17(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1324,axiom,
( sP18(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP18(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1325,axiom,
( sP19(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP19(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1326,axiom,
( sP20(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP20(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1327,axiom,
( sP21(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP21(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1328,axiom,
( sP22(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP22(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1329,axiom,
( sP23(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP23(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1330,axiom,
( sP24(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP24(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1331,axiom,
( sP26(Eq_y_0)
| ~ sP26(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1332,axiom,
( sP27(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP27(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1333,axiom,
( sP28(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP28(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1334,axiom,
( sP29(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP29(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1335,axiom,
( sP30(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP30(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1336,axiom,
( sP31(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP31(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1337,axiom,
( sP32(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP32(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1338,axiom,
( sP33(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP33(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1339,axiom,
( sP34(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP34(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1340,axiom,
( sP35(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP35(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1341,axiom,
( sP36(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP36(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1342,axiom,
( sP37(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP37(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1343,axiom,
( sP38(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP38(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1344,axiom,
( sP39(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP39(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1345,axiom,
( sP40(Eq_y_0,Eq_y_1)
| ~ sP40(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1346,axiom,
( sP41(Eq_y_0,Eq_y_1)
| ~ sP41(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1347,axiom,
( sP42(Eq_y_0,Eq_y_1)
| ~ sP42(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1348,axiom,
( sP43(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP43(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1349,axiom,
( sP44(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP44(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1350,axiom,
( sP45(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP45(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1351,axiom,
( sP46(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP46(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1352,axiom,
( sP47(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP47(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1353,axiom,
( sP48(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP48(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1354,axiom,
( sP49(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP49(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1355,axiom,
( sP50(Eq_y_0,Eq_y_1)
| ~ sP50(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1356,axiom,
( sP51(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP51(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1357,axiom,
( sP52(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP52(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1358,axiom,
( sP53(Eq_y_0)
| ~ sP53(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1359,axiom,
( sP58(Eq_y_0,Eq_y_1)
| ~ sP58(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1360,axiom,
( sP59(Eq_y_0,Eq_y_1)
| ~ sP59(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1361,axiom,
( sP60(Eq_y_0,Eq_y_1)
| ~ sP60(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1362,axiom,
( sP61(Eq_y_0,Eq_y_1)
| ~ sP61(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1363,axiom,
( sP62(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP62(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1364,axiom,
( sP63(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP63(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1365,axiom,
( sP64(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP64(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1366,axiom,
( sP65(Eq_y_0,Eq_y_1)
| ~ sP65(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1367,axiom,
( sP66(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP66(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1368,axiom,
( sP67(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP67(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1369,axiom,
( sP68(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP68(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1370,axiom,
( sP69(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP69(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1371,axiom,
( sP70(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP70(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1372,axiom,
( sP71(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP71(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1373,axiom,
( sP72(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP72(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1374,axiom,
( sP73(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP73(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1375,axiom,
( sP74(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP74(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1376,axiom,
( sP75(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP75(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1377,axiom,
( sP76(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP76(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1378,axiom,
( sP77(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP77(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1379,axiom,
( sP78(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP78(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1380,axiom,
( sP79(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP79(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1381,axiom,
( sP80(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP80(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1382,axiom,
( sP81(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP81(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1383,axiom,
( sP82(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP82(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1384,axiom,
( sP83(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP83(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1385,axiom,
( sP84(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP84(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1386,axiom,
( sP85(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9)
| ~ sP85(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9)
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1387,axiom,
( sP86(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP86(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1388,axiom,
( sP87(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP87(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1389,axiom,
( sP88(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP88(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1390,axiom,
( sP89(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9,Eq_y_10)
| ~ sP89(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9,Eq_x_10)
| Eq_x_10 != Eq_y_10
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1391,axiom,
( sP90(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP90(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1392,axiom,
( sP91(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP91(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1393,axiom,
( sP92(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP92(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1394,axiom,
( sP93(Eq_y_0,Eq_y_1)
| ~ sP93(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1395,axiom,
( sP94(Eq_y_0,Eq_y_1)
| ~ sP94(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1396,axiom,
( sP95(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP95(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1397,axiom,
( sP96(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP96(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1398,axiom,
( sP97(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP97(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1399,axiom,
( sP98(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP98(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1400,axiom,
( sP99(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP99(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1401,axiom,
( sP100(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP100(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1402,axiom,
( sP101(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP101(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1403,axiom,
( sP102(Eq_y_0,Eq_y_1)
| ~ sP102(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1404,axiom,
( sP103(Eq_y_0,Eq_y_1)
| ~ sP103(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1405,axiom,
( sP104(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP104(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1406,axiom,
( sP105(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP105(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1407,axiom,
( sP106(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP106(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1408,axiom,
( sP107(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP107(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1409,axiom,
( sP108(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP108(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1410,axiom,
( sP109(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP109(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1411,axiom,
( sP110(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP110(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1412,axiom,
( sP111(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP111(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1413,axiom,
( sP112(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP112(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1414,axiom,
( sP113(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP113(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1415,axiom,
( sP114(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP114(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1416,axiom,
( sP115(Eq_y_0,Eq_y_1)
| ~ sP115(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1417,axiom,
( sP116(Eq_y_0,Eq_y_1)
| ~ sP116(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1418,axiom,
( sP117(Eq_y_0,Eq_y_1)
| ~ sP117(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1419,axiom,
( sP118(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP118(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1420,axiom,
( sP119(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP119(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1421,axiom,
( sP120(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP120(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1422,axiom,
( sP121(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP121(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1423,axiom,
( sP122(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP122(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1424,axiom,
( sP123(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP123(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1425,axiom,
( sP124(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP124(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1426,axiom,
( sP125(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP125(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1427,axiom,
( sP126(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP126(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1428,axiom,
( sP127(Eq_y_0,Eq_y_1)
| ~ sP127(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1429,axiom,
( sP128(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP128(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1430,axiom,
( sP129(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP129(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1431,axiom,
( sP130(Eq_y_0,Eq_y_1)
| ~ sP130(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1432,axiom,
( sP131(Eq_y_0,Eq_y_1)
| ~ sP131(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1433,axiom,
( sP132(Eq_y_0,Eq_y_1)
| ~ sP132(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1434,axiom,
( sP133(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP133(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1435,axiom,
( sP134(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP134(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1436,axiom,
( sP135(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP135(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1437,axiom,
( sP136(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP136(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1438,axiom,
( sP137(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP137(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1439,axiom,
( sP138(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP138(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1440,axiom,
( sP139(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP139(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1441,axiom,
( sP140(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP140(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1442,axiom,
( sP141(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP141(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1443,axiom,
( sP142(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP142(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1444,axiom,
( sP143(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP143(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1445,axiom,
( sP144(Eq_y_0)
| ~ sP144(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1446,axiom,
( sP145(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP145(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1447,axiom,
( sP146(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP146(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1448,axiom,
( sP147(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP147(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1449,axiom,
( sP148(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP148(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1450,axiom,
( sP149(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP149(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1451,axiom,
( sP150(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP150(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1452,axiom,
( sP151(Eq_y_0,Eq_y_1)
| ~ sP151(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1453,axiom,
( sP152(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP152(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1454,axiom,
( sP153(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP153(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1455,axiom,
( sP154(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP154(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1456,axiom,
( sP155(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP155(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1457,axiom,
( sP156(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP156(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1458,axiom,
( sP157(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP157(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1459,axiom,
( sP158(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP158(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1460,axiom,
( sP159(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP159(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1461,axiom,
( sP160(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP160(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1462,axiom,
( sP161(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP161(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1463,axiom,
( sP162(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP162(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1464,axiom,
( sP163(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP163(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1465,axiom,
( sP164(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP164(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1466,axiom,
( sP165(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP165(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1467,axiom,
( sP166(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP166(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1468,axiom,
( sP167(Eq_y_0,Eq_y_1)
| ~ sP167(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1469,axiom,
( sP168(Eq_y_0,Eq_y_1)
| ~ sP168(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1470,axiom,
( sP169(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP169(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1471,axiom,
( sP170(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP170(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1472,axiom,
( sP171(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP171(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1473,axiom,
( sP172(Eq_y_0,Eq_y_1)
| ~ sP172(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1474,axiom,
( sP173(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP173(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1475,axiom,
( sP174(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP174(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1476,axiom,
( sP175(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP175(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1477,axiom,
( sP176(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP176(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1478,axiom,
( sP177(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP177(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1479,axiom,
( sP178(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP178(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1480,axiom,
( sP179(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP179(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1481,axiom,
( sP180(Eq_y_0)
| ~ sP180(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1482,axiom,
( sP181(Eq_y_0,Eq_y_1)
| ~ sP181(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1483,axiom,
( sP182(Eq_y_0,Eq_y_1)
| ~ sP182(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1484,axiom,
( sP183(Eq_y_0,Eq_y_1)
| ~ sP183(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1485,axiom,
( sP184(Eq_y_0,Eq_y_1)
| ~ sP184(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1486,axiom,
( sP185(Eq_y_0,Eq_y_1)
| ~ sP185(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1487,axiom,
( sP186(Eq_y_0,Eq_y_1)
| ~ sP186(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1488,axiom,
( sP187(Eq_y_0)
| ~ sP187(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1489,axiom,
( sP194(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP194(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1490,axiom,
( sP195(Eq_y_0,Eq_y_1)
| ~ sP195(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1491,axiom,
( sP196(Eq_y_0,Eq_y_1)
| ~ sP196(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1492,axiom,
( sP197(Eq_y_0)
| ~ sP197(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1493,axiom,
( sP198(Eq_y_0)
| ~ sP198(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1494,axiom,
( sP199(Eq_y_0,Eq_y_1)
| ~ sP199(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1495,axiom,
( sP200(Eq_y_0,Eq_y_1)
| ~ sP200(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1496,axiom,
( sP201(Eq_y_0)
| ~ sP201(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1497,axiom,
( sP202(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP202(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1498,axiom,
( sP203(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP203(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1499,axiom,
( sP204(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP204(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1500,axiom,
( sP205(Eq_y_0,Eq_y_1)
| ~ sP205(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1501,axiom,
( sP206(Eq_y_0,Eq_y_1)
| ~ sP206(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1502,axiom,
( sP207(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP207(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1503,axiom,
( sP208(Eq_y_0,Eq_y_1)
| ~ sP208(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1504,axiom,
( sP209(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP209(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1505,axiom,
( sP210(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP210(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1506,axiom,
( sP211(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP211(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1507,axiom,
( sP212(Eq_y_0,Eq_y_1)
| ~ sP212(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1508,axiom,
( sP213(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP213(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1509,axiom,
( sP214(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP214(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1510,axiom,
( sP215(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP215(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1511,axiom,
( sP216(Eq_y_0,Eq_y_1)
| ~ sP216(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1512,axiom,
( sP217(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP217(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1513,axiom,
( sP218(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP218(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1514,axiom,
( sP219(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP219(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1515,axiom,
( sP220(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP220(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1516,axiom,
( sP221(Eq_y_0,Eq_y_1)
| ~ sP221(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1517,axiom,
( sP222(Eq_y_0)
| ~ sP222(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1518,axiom,
( sP223(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP223(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1519,axiom,
( sP224(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP224(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1520,axiom,
( sP225(Eq_y_0,Eq_y_1)
| ~ sP225(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1521,axiom,
( sP226(Eq_y_0,Eq_y_1)
| ~ sP226(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1522,axiom,
( sP227(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP227(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1523,axiom,
( sP228(Eq_y_0)
| ~ sP228(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1524,axiom,
( sP229(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP229(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1525,axiom,
( sP230(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP230(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1526,axiom,
( sP231(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP231(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1527,axiom,
( sP232(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP232(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1528,axiom,
( sP233(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP233(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1529,axiom,
( sP234(Eq_y_0)
| ~ sP234(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1530,axiom,
( sP235(Eq_y_0)
| ~ sP235(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1531,axiom,
( sP236(Eq_y_0)
| ~ sP236(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1532,axiom,
( sP237(Eq_y_0)
| ~ sP237(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1533,axiom,
( sP238(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP238(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1534,axiom,
( sP239(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP239(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1535,axiom,
( sP240(Eq_y_0,Eq_y_1)
| ~ sP240(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1536,axiom,
( sP241(Eq_y_0,Eq_y_1)
| ~ sP241(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1537,axiom,
( sP242(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP242(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1538,axiom,
( sP243(Eq_y_0,Eq_y_1)
| ~ sP243(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1539,axiom,
( sP244(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP244(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1540,axiom,
( sP245(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP245(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1541,axiom,
( sP246(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP246(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1542,axiom,
( sP247(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP247(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1543,axiom,
( sP248(Eq_y_0,Eq_y_1)
| ~ sP248(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1544,axiom,
( sP249(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP249(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1545,axiom,
( sP250(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP250(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1546,axiom,
( sP251(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP251(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1547,axiom,
( sP252(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP252(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1548,axiom,
( sP253(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP253(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1549,axiom,
( sP254(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP254(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1550,axiom,
( sP255(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP255(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1551,axiom,
( sP256(Eq_y_0,Eq_y_1)
| ~ sP256(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1552,axiom,
( sP257(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP257(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1553,axiom,
( sP258(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP258(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1554,axiom,
( sP259(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP259(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1555,axiom,
( sP260(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP260(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1556,axiom,
( sP261(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP261(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1557,axiom,
( sP262(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP262(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1558,axiom,
( sP263(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP263(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1559,axiom,
( sP264(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP264(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1560,axiom,
( sP265(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP265(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1561,axiom,
( sP266(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP266(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1562,axiom,
( sP267(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP267(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1563,axiom,
( sP268(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP268(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1564,axiom,
( sP269(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP269(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1565,axiom,
( sP270(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP270(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1566,axiom,
( sP271(Eq_y_0,Eq_y_1)
| ~ sP271(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1567,axiom,
( sP272(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP272(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1568,axiom,
( sP273(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP273(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1569,axiom,
( sP274(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP274(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1570,axiom,
( sP275(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP275(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1571,axiom,
( sP276(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP276(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1572,axiom,
( sP277(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP277(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1573,axiom,
( sP278(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP278(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1574,axiom,
( sP279(Eq_y_0,Eq_y_1)
| ~ sP279(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1575,axiom,
( sP280(Eq_y_0)
| ~ sP280(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1576,axiom,
( sP281(Eq_y_0)
| ~ sP281(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1577,axiom,
( sP282(Eq_y_0,Eq_y_1)
| ~ sP282(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1578,axiom,
( sP283(Eq_y_0,Eq_y_1)
| ~ sP283(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1579,axiom,
( sP284(Eq_y_0,Eq_y_1)
| ~ sP284(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1580,axiom,
( sP285(Eq_y_0)
| ~ sP285(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1581,axiom,
( sP286(Eq_y_0)
| ~ sP286(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1582,axiom,
( sP287(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP287(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1583,axiom,
( sP288(Eq_y_0,Eq_y_1)
| ~ sP288(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1584,axiom,
( sP289(Eq_y_0)
| ~ sP289(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1585,axiom,
( sP290(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP290(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1586,axiom,
( sP291(Eq_y_0)
| ~ sP291(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1587,axiom,
( sP292(Eq_y_0)
| ~ sP292(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1588,axiom,
( sP293(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP293(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1589,axiom,
( sP294(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP294(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1590,axiom,
( sP295(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP295(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1591,axiom,
( sP296(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP296(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1592,axiom,
( sP297(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP297(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1593,axiom,
( sP298(Eq_y_0,Eq_y_1)
| ~ sP298(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1594,axiom,
( sP299(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP299(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1595,axiom,
( sP300(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP300(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1596,axiom,
( sP301(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP301(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1597,axiom,
( sP302(Eq_y_0,Eq_y_1)
| ~ sP302(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1598,axiom,
( sP303(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP303(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1599,axiom,
( sP304(Eq_y_0,Eq_y_1)
| ~ sP304(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1600,axiom,
( sP305(Eq_y_0)
| ~ sP305(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1601,axiom,
( sP306(Eq_y_0,Eq_y_1)
| ~ sP306(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1602,axiom,
( sP307(Eq_y_0,Eq_y_1)
| ~ sP307(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1603,axiom,
( sP308(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP308(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1604,axiom,
( sP309(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP309(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1605,axiom,
( sP310(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP310(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1606,axiom,
( sP311(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP311(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1607,axiom,
( sP312(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP312(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1608,axiom,
( sP313(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP313(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1609,axiom,
( sP314(Eq_y_0,Eq_y_1)
| ~ sP314(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1610,axiom,
( sP315(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP315(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1611,axiom,
( sP316(Eq_y_0,Eq_y_1)
| ~ sP316(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1612,axiom,
( sP317(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP317(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1613,axiom,
( sP318(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP318(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1614,axiom,
( sP319(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP319(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1615,axiom,
( sP320(Eq_y_0)
| ~ sP320(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1616,axiom,
( sP321(Eq_y_0)
| ~ sP321(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1617,axiom,
( sP322(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP322(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1618,axiom,
( sP323(Eq_y_0,Eq_y_1)
| ~ sP323(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1619,axiom,
( sP324(Eq_y_0)
| ~ sP324(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1620,axiom,
( sP325(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP325(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1621,axiom,
( sP326(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP326(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1622,axiom,
( sP327(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP327(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1623,axiom,
( sP328(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP328(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1624,axiom,
( sP329(Eq_y_0,Eq_y_1)
| ~ sP329(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1625,axiom,
( sP330(Eq_y_0,Eq_y_1)
| ~ sP330(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1626,axiom,
( sP331(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP331(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1627,axiom,
( sP332(Eq_y_0)
| ~ sP332(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1628,axiom,
( sP333(Eq_y_0,Eq_y_1)
| ~ sP333(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1629,axiom,
( sP334(Eq_y_0,Eq_y_1)
| ~ sP334(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1630,axiom,
( sP335(Eq_y_0)
| ~ sP335(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1631,axiom,
( sP336(Eq_y_0)
| ~ sP336(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1632,axiom,
( sP337(Eq_y_0,Eq_y_1)
| ~ sP337(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1633,axiom,
( sP338(Eq_y_0,Eq_y_1)
| ~ sP338(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1634,axiom,
( sP339(Eq_y_0,Eq_y_1)
| ~ sP339(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1635,axiom,
( sP340(Eq_y_0)
| ~ sP340(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1636,axiom,
( sP341(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP341(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1637,axiom,
( sP342(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP342(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1638,axiom,
( sP343(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP343(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1639,axiom,
( sP344(Eq_y_0,Eq_y_1)
| ~ sP344(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1640,axiom,
( sP345(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP345(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1641,axiom,
( sP346(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP346(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1642,axiom,
( sP347(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP347(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1643,axiom,
( sP348(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP348(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1644,axiom,
( sP349(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP349(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1645,axiom,
( sP350(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP350(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1646,axiom,
( sP351(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP351(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1647,axiom,
( sP352(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP352(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1648,axiom,
( sP353(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP353(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1649,axiom,
( sP354(Eq_y_0,Eq_y_1)
| ~ sP354(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1650,axiom,
( sP355(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP355(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1651,axiom,
( sP356(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP356(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1652,axiom,
( sP357(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP357(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1653,axiom,
( sP358(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP358(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1654,axiom,
( sP359(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP359(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1655,axiom,
( sP360(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP360(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1656,axiom,
( sP361(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP361(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1657,axiom,
( sP362(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP362(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1658,axiom,
( sP363(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP363(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1659,axiom,
( sP364(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP364(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1660,axiom,
( sP365(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP365(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1661,axiom,
( sP366(Eq_y_0,Eq_y_1)
| ~ sP366(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1662,axiom,
( sP367(Eq_y_0,Eq_y_1)
| ~ sP367(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1663,axiom,
( sP368(Eq_y_0,Eq_y_1)
| ~ sP368(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1664,axiom,
( sP369(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP369(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1665,axiom,
( sP370(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP370(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1666,axiom,
( sP371(Eq_y_0)
| ~ sP371(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1667,axiom,
( sP372(Eq_y_0,Eq_y_1)
| ~ sP372(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1668,axiom,
( sP373(Eq_y_0)
| ~ sP373(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1669,axiom,
( sP374(Eq_y_0,Eq_y_1)
| ~ sP374(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1670,axiom,
( sP376(Eq_y_0,Eq_y_1)
| ~ sP376(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1671,axiom,
( sP377(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP377(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1672,axiom,
( sP379(Eq_y_0)
| ~ sP379(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1673,axiom,
( sP380(Eq_y_0)
| ~ sP380(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1674,axiom,
( sP381(Eq_y_0)
| ~ sP381(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1675,axiom,
( sP382(Eq_y_0)
| ~ sP382(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1676,axiom,
( sP383(Eq_y_0)
| ~ sP383(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1677,axiom,
( sP384(Eq_y_0)
| ~ sP384(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1678,axiom,
( sP385(Eq_y_0)
| ~ sP385(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1679,axiom,
( sP386(Eq_y_0)
| ~ sP386(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1680,axiom,
( sP387(Eq_y_0,Eq_y_1)
| ~ sP387(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1681,axiom,
( sP388(Eq_y_0)
| ~ sP388(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1682,axiom,
( sP389(Eq_y_0)
| ~ sP389(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1683,axiom,
( sP390(Eq_y_0)
| ~ sP390(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1684,axiom,
( sP391(Eq_y_0)
| ~ sP391(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1685,axiom,
( sP392(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP392(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1686,axiom,
( sP393(Eq_y_0,Eq_y_1)
| ~ sP393(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1687,axiom,
( sP394(Eq_y_0,Eq_y_1)
| ~ sP394(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1688,axiom,
( sP395(Eq_y_0)
| ~ sP395(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1689,axiom,
( sP396(Eq_y_0)
| ~ sP396(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1690,axiom,
( sP397(Eq_y_0)
| ~ sP397(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1691,axiom,
( sP398(Eq_y_0)
| ~ sP398(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1692,axiom,
( sP399(Eq_y_0)
| ~ sP399(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1693,axiom,
( sP400(Eq_y_0)
| ~ sP400(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1694,axiom,
( sP401(Eq_y_0,Eq_y_1)
| ~ sP401(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1695,axiom,
( sP402(Eq_y_0)
| ~ sP402(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1696,axiom,
( sP403(Eq_y_0,Eq_y_1)
| ~ sP403(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1697,axiom,
( sP404(Eq_y_0)
| ~ sP404(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1698,axiom,
( sP405(Eq_y_0,Eq_y_1)
| ~ sP405(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1699,axiom,
( sP406(Eq_y_0)
| ~ sP406(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1700,axiom,
( sP407(Eq_y_0)
| ~ sP407(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1701,axiom,
( sP408(Eq_y_0)
| ~ sP408(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1702,axiom,
( sP409(Eq_y_0)
| ~ sP409(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1703,axiom,
( sP410(Eq_y_0)
| ~ sP410(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1704,axiom,
( sP413(Eq_y_0)
| ~ sP413(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1705,axiom,
( sP414(Eq_y_0)
| ~ sP414(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1706,axiom,
( sP415(Eq_y_0)
| ~ sP415(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1707,axiom,
( sP416(Eq_y_0,Eq_y_1)
| ~ sP416(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1708,axiom,
( sP418(Eq_y_0)
| ~ sP418(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1709,axiom,
( sP419(Eq_y_0,Eq_y_1)
| ~ sP419(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1710,axiom,
( sP420(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP420(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1711,axiom,
( sP421(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP421(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1712,axiom,
( sP422(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP422(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1713,axiom,
( sP423(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP423(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1714,axiom,
( sP424(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP424(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1715,axiom,
( sP425(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP425(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1716,axiom,
( sP426(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP426(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1717,axiom,
( sP427(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP427(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1718,axiom,
( sP428(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP428(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1719,axiom,
( sP429(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP429(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1720,axiom,
( sP430(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP430(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1721,axiom,
( sP431(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP431(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1722,axiom,
( sP432(Eq_y_0,Eq_y_1)
| ~ sP432(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1723,axiom,
( sP433(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP433(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1724,axiom,
( sP434(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP434(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1725,axiom,
( sP435(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP435(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1726,axiom,
( sP436(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP436(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1727,axiom,
( sP437(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP437(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1728,axiom,
( sP438(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP438(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1729,axiom,
( sP439(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP439(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1730,axiom,
( sP440(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP440(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1731,axiom,
( sP441(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP441(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1732,axiom,
( sP442(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP442(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1733,axiom,
( sP443(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP443(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1734,axiom,
( sP444(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP444(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1735,axiom,
( sP445(Eq_y_0,Eq_y_1)
| ~ sP445(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1736,axiom,
( sP446(Eq_y_0,Eq_y_1)
| ~ sP446(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1737,axiom,
( sP447(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP447(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1738,axiom,
( sP448(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP448(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1739,axiom,
( sP449(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP449(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1740,axiom,
( sP450(Eq_y_0,Eq_y_1)
| ~ sP450(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1741,axiom,
( sP451(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP451(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1742,axiom,
( sP452(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP452(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1743,axiom,
( sP453(Eq_y_0,Eq_y_1)
| ~ sP453(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1744,axiom,
( sP454(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP454(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1745,axiom,
( sP455(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP455(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1746,axiom,
( sP456(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP456(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1747,axiom,
( sP457(Eq_y_0)
| ~ sP457(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1748,axiom,
( sP458(Eq_y_0,Eq_y_1)
| ~ sP458(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1749,axiom,
( sP459(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP459(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1750,axiom,
( sP460(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP460(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1751,axiom,
( sP461(Eq_y_0,Eq_y_1)
| ~ sP461(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1752,axiom,
( sP462(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP462(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1753,axiom,
( sP463(Eq_y_0,Eq_y_1)
| ~ sP463(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1754,axiom,
( sP464(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP464(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1755,axiom,
( sP465(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP465(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1756,axiom,
( sP466(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP466(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1757,axiom,
( sP467(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP467(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1758,axiom,
( sP468(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP468(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1759,axiom,
( sP469(Eq_y_0,Eq_y_1)
| ~ sP469(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1760,axiom,
( sP470(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP470(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1761,axiom,
( sP471(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP471(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1762,axiom,
( sP472(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP472(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1763,axiom,
( sP473(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP473(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1764,axiom,
( sP474(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP474(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1765,axiom,
( sP475(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP475(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1766,axiom,
( sP476(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP476(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1767,axiom,
( sP477(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP477(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1768,axiom,
( sP478(Eq_y_0,Eq_y_1)
| ~ sP478(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1769,axiom,
( sP479(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP479(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1770,axiom,
( sP480(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP480(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1771,axiom,
( sP481(Eq_y_0,Eq_y_1)
| ~ sP481(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1772,axiom,
( sP482(Eq_y_0,Eq_y_1)
| ~ sP482(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1773,axiom,
( sP483(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP483(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1774,axiom,
( sP484(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP484(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1775,axiom,
( sP485(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP485(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1776,axiom,
( sP486(Eq_y_0,Eq_y_1)
| ~ sP486(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1777,axiom,
( sP487(Eq_y_0,Eq_y_1)
| ~ sP487(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1778,axiom,
( sP488(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP488(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1779,axiom,
( sP489(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP489(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1780,axiom,
( sP490(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP490(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1781,axiom,
( sP491(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP491(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1782,axiom,
( sP492(Eq_y_0,Eq_y_1)
| ~ sP492(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1783,axiom,
( sP493(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP493(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1784,axiom,
( sP494(Eq_y_0,Eq_y_1)
| ~ sP494(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1785,axiom,
( sP495(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP495(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1786,axiom,
( sP496(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP496(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1787,axiom,
( sP497(Eq_y_0,Eq_y_1)
| ~ sP497(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1788,axiom,
( sP498(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP498(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1789,axiom,
( sP499(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP499(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1790,axiom,
( sP500(Eq_y_0,Eq_y_1)
| ~ sP500(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1791,axiom,
( sP501(Eq_y_0,Eq_y_1)
| ~ sP501(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1792,axiom,
( sP502(Eq_y_0,Eq_y_1)
| ~ sP502(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1793,axiom,
( sP503(Eq_y_0,Eq_y_1)
| ~ sP503(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1794,axiom,
( sP504(Eq_y_0,Eq_y_1)
| ~ sP504(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1795,axiom,
( sP505(Eq_y_0,Eq_y_1)
| ~ sP505(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1796,axiom,
( sP506(Eq_y_0,Eq_y_1)
| ~ sP506(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1797,axiom,
( sP507(Eq_y_0,Eq_y_1)
| ~ sP507(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1798,axiom,
( sP508(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP508(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1799,axiom,
( sP509(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP509(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1800,axiom,
( sP510(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP510(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1801,axiom,
( sP511(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP511(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1802,axiom,
( sP512(Eq_y_0,Eq_y_1)
| ~ sP512(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1803,axiom,
( sP513(Eq_y_0,Eq_y_1)
| ~ sP513(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1804,axiom,
( sP514(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP514(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1805,axiom,
( sP515(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP515(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1806,axiom,
( sP516(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP516(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1807,axiom,
( sP517(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP517(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1808,axiom,
( sP518(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP518(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1809,axiom,
( sP519(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP519(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1810,axiom,
( sP520(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP520(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1811,axiom,
( sP521(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP521(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1812,axiom,
( sP522(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP522(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1813,axiom,
( sP523(Eq_y_0,Eq_y_1)
| ~ sP523(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1814,axiom,
( sP524(Eq_y_0,Eq_y_1)
| ~ sP524(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1815,axiom,
( sP525(Eq_y_0,Eq_y_1)
| ~ sP525(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1816,axiom,
( sP526(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP526(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1817,axiom,
( sP527(Eq_y_0,Eq_y_1)
| ~ sP527(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1818,axiom,
( sP528(Eq_y_0,Eq_y_1)
| ~ sP528(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1819,axiom,
( sP529(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP529(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1820,axiom,
( sP530(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP530(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1821,axiom,
( sP531(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP531(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1822,axiom,
( sP532(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP532(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1823,axiom,
( sP533(Eq_y_0,Eq_y_1)
| ~ sP533(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1824,axiom,
( sP534(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP534(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1825,axiom,
( sP535(Eq_y_0,Eq_y_1)
| ~ sP535(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1826,axiom,
( sP536(Eq_y_0,Eq_y_1)
| ~ sP536(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1827,axiom,
( sP537(Eq_y_0,Eq_y_1)
| ~ sP537(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1828,axiom,
( sP538(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP538(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1829,axiom,
( sP539(Eq_y_0,Eq_y_1)
| ~ sP539(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1830,axiom,
( sP540(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP540(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1831,axiom,
( sP541(Eq_y_0,Eq_y_1)
| ~ sP541(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1832,axiom,
( sP542(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP542(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1833,axiom,
( sP543(Eq_y_0)
| ~ sP543(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1834,axiom,
( sP544(Eq_y_0)
| ~ sP544(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1835,axiom,
( sP546(Eq_y_0)
| ~ sP546(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1836,axiom,
( sP547(Eq_y_0)
| ~ sP547(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1837,axiom,
( sP548(Eq_y_0)
| ~ sP548(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1838,axiom,
( sP549(Eq_y_0)
| ~ sP549(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1839,axiom,
( sP550(Eq_y_0,Eq_y_1)
| ~ sP550(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1840,axiom,
( sP552(Eq_y_0,Eq_y_1)
| ~ sP552(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1841,axiom,
( sP553(Eq_y_0)
| ~ sP553(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1842,axiom,
( sP554(Eq_y_0,Eq_y_1)
| ~ sP554(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1843,axiom,
( sP558(Eq_y_0)
| ~ sP558(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1844,axiom,
( sP559(Eq_y_0)
| ~ sP559(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1845,axiom,
( sP560(Eq_y_0)
| ~ sP560(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1846,axiom,
( sP562(Eq_y_0)
| ~ sP562(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1847,axiom,
( sP564(Eq_y_0)
| ~ sP564(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1848,axiom,
( sP565(Eq_y_0)
| ~ sP565(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1849,axiom,
( sP566(Eq_y_0)
| ~ sP566(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1850,axiom,
( sP567(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP567(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1851,axiom,
( sP568(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP568(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1852,axiom,
( sP569(Eq_y_0,Eq_y_1)
| ~ sP569(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1853,axiom,
( sP570(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP570(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1854,axiom,
( sP571(Eq_y_0,Eq_y_1)
| ~ sP571(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1855,axiom,
( sP572(Eq_y_0,Eq_y_1)
| ~ sP572(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1856,axiom,
( sP573(Eq_y_0,Eq_y_1)
| ~ sP573(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1857,axiom,
( sP574(Eq_y_0,Eq_y_1)
| ~ sP574(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1858,axiom,
( sP575(Eq_y_0,Eq_y_1)
| ~ sP575(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1859,axiom,
( sP576(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP576(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1860,axiom,
( sP577(Eq_y_0,Eq_y_1)
| ~ sP577(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1861,axiom,
( sP578(Eq_y_0,Eq_y_1)
| ~ sP578(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1862,axiom,
( sP579(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP579(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1863,axiom,
( sP580(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP580(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1864,axiom,
( sP581(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP581(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1865,axiom,
( sP582(Eq_y_0,Eq_y_1)
| ~ sP582(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1866,axiom,
( sP583(Eq_y_0)
| ~ sP583(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1867,axiom,
( sP584(Eq_y_0)
| ~ sP584(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1868,axiom,
( sP585(Eq_y_0,Eq_y_1)
| ~ sP585(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1869,axiom,
( sP586(Eq_y_0)
| ~ sP586(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1870,axiom,
( sP587(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP587(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1871,axiom,
( sP588(Eq_y_0,Eq_y_1)
| ~ sP588(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1872,axiom,
( sP589(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP589(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1873,axiom,
( sP590(Eq_y_0,Eq_y_1)
| ~ sP590(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1874,axiom,
( sP591(Eq_y_0,Eq_y_1)
| ~ sP591(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1875,axiom,
( sP592(Eq_y_0,Eq_y_1)
| ~ sP592(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1876,axiom,
( sP593(Eq_y_0)
| ~ sP593(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1877,axiom,
( sP594(Eq_y_0,Eq_y_1)
| ~ sP594(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1878,axiom,
( sP595(Eq_y_0)
| ~ sP595(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1879,axiom,
( sP596(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP596(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1880,axiom,
( sP597(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP597(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1881,axiom,
( sP598(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP598(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1882,axiom,
( sP599(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP599(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1883,axiom,
( sP600(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP600(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1884,axiom,
( sP601(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP601(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1885,axiom,
( sP602(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP602(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1886,axiom,
( sP603(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP603(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1887,axiom,
( sP604(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP604(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1888,axiom,
( sP605(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP605(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1889,axiom,
( sP606(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP606(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1890,axiom,
( sP607(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP607(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1891,axiom,
( sP608(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP608(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1892,axiom,
( sP609(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP609(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1893,axiom,
( sP610(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP610(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1894,axiom,
( sP611(Eq_y_0,Eq_y_1)
| ~ sP611(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1895,axiom,
( sP612(Eq_y_0)
| ~ sP612(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1896,axiom,
( sP613(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP613(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1897,axiom,
( sP614(Eq_y_0)
| ~ sP614(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1898,axiom,
( sP615(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP615(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1899,axiom,
( sP616(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP616(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1900,axiom,
( sP617(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP617(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1901,axiom,
( sP618(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP618(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1902,axiom,
( sP619(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP619(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1903,axiom,
( sP620(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP620(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1904,axiom,
( sP621(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP621(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1905,axiom,
( sP622(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP622(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1906,axiom,
( sP623(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP623(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1907,axiom,
( sP624(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP624(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1908,axiom,
( sP625(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP625(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1909,axiom,
( sP626(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP626(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1910,axiom,
( sP627(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP627(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1911,axiom,
( sP628(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP628(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1912,axiom,
( sP629(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP629(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1913,axiom,
( sP630(Eq_y_0)
| ~ sP630(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1914,axiom,
( sP631(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP631(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1915,axiom,
( sP632(Eq_y_0)
| ~ sP632(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1916,axiom,
( sP633(Eq_y_0)
| ~ sP633(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1917,axiom,
( sP635(Eq_y_0)
| ~ sP635(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1918,axiom,
( sP642(Eq_y_0)
| ~ sP642(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1919,axiom,
( sP643(Eq_y_0)
| ~ sP643(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1920,axiom,
( sP644(Eq_y_0)
| ~ sP644(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1921,axiom,
( sP645(Eq_y_0,Eq_y_1)
| ~ sP645(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1922,axiom,
( sP646(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP646(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1923,axiom,
( sP650(Eq_y_0,Eq_y_1)
| ~ sP650(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1924,axiom,
( sP651(Eq_y_0,Eq_y_1)
| ~ sP651(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1925,axiom,
( sP652(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP652(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1926,axiom,
( sP653(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP653(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1927,axiom,
( sP654(Eq_y_0)
| ~ sP654(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1928,axiom,
( sP655(Eq_y_0)
| ~ sP655(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1929,axiom,
( sP656(Eq_y_0)
| ~ sP656(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1930,axiom,
( sP657(Eq_y_0,Eq_y_1)
| ~ sP657(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1931,axiom,
( sP658(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP658(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1932,axiom,
( sP659(Eq_y_0)
| ~ sP659(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1933,axiom,
( sP660(Eq_y_0)
| ~ sP660(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1934,axiom,
( sP661(Eq_y_0)
| ~ sP661(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1935,axiom,
( sP662(Eq_y_0,Eq_y_1)
| ~ sP662(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1936,axiom,
( sP663(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP663(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1937,axiom,
( sP664(Eq_y_0)
| ~ sP664(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1938,axiom,
( sP665(Eq_y_0)
| ~ sP665(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1939,axiom,
( sP666(Eq_y_0)
| ~ sP666(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1940,axiom,
( sP667(Eq_y_0,Eq_y_1)
| ~ sP667(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1941,axiom,
( sP668(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP668(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1942,axiom,
( sP670(Eq_y_0)
| ~ sP670(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1943,axiom,
( sP671(Eq_y_0)
| ~ sP671(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1944,axiom,
( sP672(Eq_y_0)
| ~ sP672(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1945,axiom,
( sP673(Eq_y_0,Eq_y_1)
| ~ sP673(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1946,axiom,
( sP674(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP674(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1947,axiom,
( sP678(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP678(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1948,axiom,
( sP679(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP679(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1949,axiom,
( sP680(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP680(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1950,axiom,
( sP681(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP681(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1951,axiom,
( sP682(Eq_y_0)
| ~ sP682(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1952,axiom,
( sP683(Eq_y_0)
| ~ sP683(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1953,axiom,
( sP684(Eq_y_0)
| ~ sP684(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1954,axiom,
( sP685(Eq_y_0,Eq_y_1)
| ~ sP685(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1955,axiom,
( sP686(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP686(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1956,axiom,
( sP687(Eq_y_0)
| ~ sP687(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1957,axiom,
( sP688(Eq_y_0)
| ~ sP688(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1958,axiom,
( sP689(Eq_y_0)
| ~ sP689(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1959,axiom,
( sP690(Eq_y_0,Eq_y_1)
| ~ sP690(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1960,axiom,
( sP691(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP691(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1961,axiom,
( sP692(Eq_y_0)
| ~ sP692(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1962,axiom,
( sP693(Eq_y_0)
| ~ sP693(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1963,axiom,
( sP694(Eq_y_0)
| ~ sP694(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1964,axiom,
( sP695(Eq_y_0,Eq_y_1)
| ~ sP695(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1965,axiom,
( sP696(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP696(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1966,axiom,
( sP698(Eq_y_0)
| ~ sP698(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1967,axiom,
( sP699(Eq_y_0)
| ~ sP699(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1968,axiom,
( sP700(Eq_y_0)
| ~ sP700(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1969,axiom,
( sP701(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP701(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1970,axiom,
( sP702(Eq_y_0)
| ~ sP702(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1971,axiom,
( sP703(Eq_y_0,Eq_y_1)
| ~ sP703(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1972,axiom,
( sP704(Eq_y_0)
| ~ sP704(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1973,axiom,
( sP705(Eq_y_0,Eq_y_1)
| ~ sP705(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1974,axiom,
( sP706(Eq_y_0,Eq_y_1)
| ~ sP706(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1975,axiom,
( sP707(Eq_y_0)
| ~ sP707(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1976,axiom,
( sP709(Eq_y_0)
| ~ sP709(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1977,axiom,
( sP710(Eq_y_0,Eq_y_1)
| ~ sP710(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1978,axiom,
( sP711(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP711(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1979,axiom,
( sP712(Eq_y_0)
| ~ sP712(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1980,axiom,
( sP713(Eq_y_0)
| ~ sP713(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1981,axiom,
( sP714(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP714(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1982,axiom,
( sP715(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP715(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1983,axiom,
( sP716(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP716(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1984,axiom,
( sP717(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP717(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1985,axiom,
( sP720(Eq_y_0,Eq_y_1)
| ~ sP720(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1986,axiom,
( sP721(Eq_y_0)
| ~ sP721(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1987,axiom,
( sP722(Eq_y_0,Eq_y_1)
| ~ sP722(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1988,axiom,
( sP723(Eq_y_0)
| ~ sP723(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1989,axiom,
( sP724(Eq_y_0)
| ~ sP724(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1990,axiom,
( sP725(Eq_y_0)
| ~ sP725(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1991,axiom,
( sP726(Eq_y_0)
| ~ sP726(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1992,axiom,
( sP727(Eq_y_0)
| ~ sP727(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1993,axiom,
( sP728(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP728(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1994,axiom,
( sP729(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP729(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1995,axiom,
( sP750(Eq_y_0)
| ~ sP750(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1996,axiom,
( sP755(Eq_y_0)
| ~ sP755(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1997,axiom,
( sP756(Eq_y_0)
| ~ sP756(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1998,axiom,
( sP757(Eq_y_0)
| ~ sP757(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_1999,axiom,
( sP758(Eq_y_0)
| ~ sP758(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2000,axiom,
( sP759(Eq_y_0)
| ~ sP759(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2001,axiom,
( sP760(Eq_y_0)
| ~ sP760(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2002,axiom,
( sP761(Eq_y_0)
| ~ sP761(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2003,axiom,
( sP762(Eq_y_0)
| ~ sP762(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2004,axiom,
( sP763(Eq_y_0)
| ~ sP763(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2005,axiom,
( sP764(Eq_y_0)
| ~ sP764(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2006,axiom,
( sP765(Eq_y_0)
| ~ sP765(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2007,axiom,
( sP766(Eq_y_0)
| ~ sP766(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2008,axiom,
( sP767(Eq_y_0)
| ~ sP767(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2009,axiom,
( sP768(Eq_y_0)
| ~ sP768(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2010,axiom,
( sP769(Eq_y_0)
| ~ sP769(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2011,axiom,
( sP770(Eq_y_0)
| ~ sP770(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2012,axiom,
( sP771(Eq_y_0)
| ~ sP771(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2013,axiom,
( sP772(Eq_y_0)
| ~ sP772(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2014,axiom,
( sP773(Eq_y_0)
| ~ sP773(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2015,axiom,
( sP774(Eq_y_0)
| ~ sP774(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2016,axiom,
( sP775(Eq_y_0)
| ~ sP775(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2017,axiom,
( sP776(Eq_y_0)
| ~ sP776(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2018,axiom,
( sP777(Eq_y_0)
| ~ sP777(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2019,axiom,
( sP778(Eq_y_0)
| ~ sP778(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2020,axiom,
( sP779(Eq_y_0)
| ~ sP779(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2021,axiom,
( sP780(Eq_y_0)
| ~ sP780(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2022,axiom,
( sP781(Eq_y_0)
| ~ sP781(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2023,axiom,
( sP782(Eq_y_0)
| ~ sP782(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2024,axiom,
( sP783(Eq_y_0)
| ~ sP783(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2025,axiom,
( sP784(Eq_y_0)
| ~ sP784(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2026,axiom,
( sP785(Eq_y_0)
| ~ sP785(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2027,axiom,
( sP786(Eq_y_0)
| ~ sP786(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2028,axiom,
( sP787(Eq_y_0)
| ~ sP787(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2029,axiom,
( sP788(Eq_y_0)
| ~ sP788(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2030,axiom,
( sP789(Eq_y_0)
| ~ sP789(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2031,axiom,
( sP790(Eq_y_0)
| ~ sP790(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2032,axiom,
( sP791(Eq_y_0)
| ~ sP791(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2033,axiom,
( sP792(Eq_y_0)
| ~ sP792(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2034,axiom,
( sP793(Eq_y_0)
| ~ sP793(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2035,axiom,
( sP794(Eq_y_0)
| ~ sP794(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2036,axiom,
( sP795(Eq_y_0)
| ~ sP795(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2037,axiom,
( sP796(Eq_y_0)
| ~ sP796(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2038,axiom,
( sP797(Eq_y_0)
| ~ sP797(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2039,axiom,
( sP798(Eq_y_0)
| ~ sP798(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2040,axiom,
( sP799(Eq_y_0,Eq_y_1)
| ~ sP799(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2041,axiom,
( sP800(Eq_y_0,Eq_y_1)
| ~ sP800(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2042,axiom,
( sP801(Eq_y_0,Eq_y_1)
| ~ sP801(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2043,axiom,
( sP802(Eq_y_0,Eq_y_1)
| ~ sP802(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2044,axiom,
( sP803(Eq_y_0)
| ~ sP803(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2045,axiom,
( sP804(Eq_y_0)
| ~ sP804(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2046,axiom,
( sP805(Eq_y_0)
| ~ sP805(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2047,axiom,
( sP806(Eq_y_0)
| ~ sP806(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2048,axiom,
( sP807(Eq_y_0)
| ~ sP807(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2049,axiom,
( sP808(Eq_y_0)
| ~ sP808(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2050,axiom,
( sP809(Eq_y_0,Eq_y_1)
| ~ sP809(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2051,axiom,
( sP810(Eq_y_0,Eq_y_1)
| ~ sP810(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2052,axiom,
( sP811(Eq_y_0,Eq_y_1)
| ~ sP811(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2053,axiom,
( sP812(Eq_y_0,Eq_y_1)
| ~ sP812(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2054,axiom,
( sP813(Eq_y_0,Eq_y_1)
| ~ sP813(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2055,axiom,
( sP814(Eq_y_0,Eq_y_1)
| ~ sP814(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2056,axiom,
( sP815(Eq_y_0)
| ~ sP815(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2057,axiom,
( sP816(Eq_y_0)
| ~ sP816(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2058,axiom,
( sP817(Eq_y_0,Eq_y_1)
| ~ sP817(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2059,axiom,
( sP818(Eq_y_0,Eq_y_1)
| ~ sP818(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2060,axiom,
( sP819(Eq_y_0,Eq_y_1)
| ~ sP819(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2061,axiom,
( sP820(Eq_y_0,Eq_y_1)
| ~ sP820(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2062,axiom,
( sP821(Eq_y_0,Eq_y_1)
| ~ sP821(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2063,axiom,
( sP822(Eq_y_0,Eq_y_1)
| ~ sP822(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2064,axiom,
( sP823(Eq_y_0,Eq_y_1)
| ~ sP823(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2065,axiom,
( sP824(Eq_y_0,Eq_y_1)
| ~ sP824(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2066,axiom,
( sP825(Eq_y_0,Eq_y_1)
| ~ sP825(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2067,axiom,
( sP826(Eq_y_0,Eq_y_1)
| ~ sP826(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2068,axiom,
( sP827(Eq_y_0)
| ~ sP827(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2069,axiom,
( sP828(Eq_y_0)
| ~ sP828(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2070,axiom,
( sP829(Eq_y_0,Eq_y_1)
| ~ sP829(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2071,axiom,
( sP830(Eq_y_0,Eq_y_1)
| ~ sP830(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2072,axiom,
( sP831(Eq_y_0,Eq_y_1)
| ~ sP831(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2073,axiom,
( sP832(Eq_y_0,Eq_y_1)
| ~ sP832(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2074,axiom,
( sP833(Eq_y_0,Eq_y_1)
| ~ sP833(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2075,axiom,
( sP834(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP834(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2076,axiom,
( sP835(Eq_y_0,Eq_y_1)
| ~ sP835(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2077,axiom,
( sP836(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP836(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2078,axiom,
( sP837(Eq_y_0,Eq_y_1)
| ~ sP837(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2079,axiom,
( sP838(Eq_y_0,Eq_y_1)
| ~ sP838(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2080,axiom,
( sP839(Eq_y_0,Eq_y_1)
| ~ sP839(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2081,axiom,
( sP840(Eq_y_0,Eq_y_1)
| ~ sP840(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2082,axiom,
( sP841(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP841(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2083,axiom,
( sP842(Eq_y_0)
| ~ sP842(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2084,axiom,
( sP843(Eq_y_0)
| ~ sP843(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2085,axiom,
( sP844(Eq_y_0)
| ~ sP844(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2086,axiom,
( sP845(Eq_y_0)
| ~ sP845(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2087,axiom,
( sP846(Eq_y_0,Eq_y_1)
| ~ sP846(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2088,axiom,
( sP847(Eq_y_0,Eq_y_1)
| ~ sP847(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2089,axiom,
( sP848(Eq_y_0)
| ~ sP848(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2090,axiom,
( sP849(Eq_y_0,Eq_y_1)
| ~ sP849(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2091,axiom,
( sP850(Eq_y_0)
| ~ sP850(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2092,axiom,
( sP851(Eq_y_0,Eq_y_1)
| ~ sP851(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2093,axiom,
( sP852(Eq_y_0,Eq_y_1)
| ~ sP852(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2094,axiom,
( sP853(Eq_y_0,Eq_y_1)
| ~ sP853(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2095,axiom,
( sP854(Eq_y_0,Eq_y_1)
| ~ sP854(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2096,axiom,
( sP855(Eq_y_0)
| ~ sP855(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2097,axiom,
( sP856(Eq_y_0,Eq_y_1)
| ~ sP856(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2098,axiom,
( sP857(Eq_y_0,Eq_y_1)
| ~ sP857(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2099,axiom,
( sP858(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP858(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2100,axiom,
( sP859(Eq_y_0,Eq_y_1)
| ~ sP859(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2101,axiom,
( sP860(Eq_y_0,Eq_y_1)
| ~ sP860(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2102,axiom,
( sP861(Eq_y_0)
| ~ sP861(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2103,axiom,
( sP862(Eq_y_0,Eq_y_1)
| ~ sP862(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2104,axiom,
( sP863(Eq_y_0)
| ~ sP863(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2105,axiom,
( sP864(Eq_y_0)
| ~ sP864(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2106,axiom,
( sP865(Eq_y_0,Eq_y_1)
| ~ sP865(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2107,axiom,
( sP866(Eq_y_0,Eq_y_1)
| ~ sP866(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2108,axiom,
( sP867(Eq_y_0,Eq_y_1)
| ~ sP867(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2109,axiom,
( sP868(Eq_y_0,Eq_y_1)
| ~ sP868(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2110,axiom,
( sP869(Eq_y_0,Eq_y_1)
| ~ sP869(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2111,axiom,
( sP870(Eq_y_0,Eq_y_1)
| ~ sP870(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2112,axiom,
( sP871(Eq_y_0,Eq_y_1)
| ~ sP871(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2113,axiom,
( sP872(Eq_y_0,Eq_y_1)
| ~ sP872(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2114,axiom,
( sP873(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP873(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2115,axiom,
( sP874(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP874(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2116,axiom,
( sP875(Eq_y_0)
| ~ sP875(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2117,axiom,
( sP876(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP876(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2118,axiom,
( sP877(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP877(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2119,axiom,
( sP878(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP878(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2120,axiom,
( sP879(Eq_y_0,Eq_y_1)
| ~ sP879(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2121,axiom,
( sP880(Eq_y_0,Eq_y_1)
| ~ sP880(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2122,axiom,
( sP881(Eq_y_0)
| ~ sP881(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2123,axiom,
( sP882(Eq_y_0)
| ~ sP882(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2124,axiom,
( sP883(Eq_y_0)
| ~ sP883(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2125,axiom,
( sP884(Eq_y_0,Eq_y_1)
| ~ sP884(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2126,axiom,
( sP885(Eq_y_0,Eq_y_1)
| ~ sP885(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2127,axiom,
( sP886(Eq_y_0)
| ~ sP886(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2128,axiom,
( sP887(Eq_y_0)
| ~ sP887(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2129,axiom,
( sP888(Eq_y_0)
| ~ sP888(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2130,axiom,
( sP889(Eq_y_0)
| ~ sP889(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2131,axiom,
( sP890(Eq_y_0)
| ~ sP890(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2132,axiom,
( sP891(Eq_y_0)
| ~ sP891(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2133,axiom,
( sP892(Eq_y_0)
| ~ sP892(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2134,axiom,
( sP893(Eq_y_0)
| ~ sP893(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2135,axiom,
( sP894(Eq_y_0)
| ~ sP894(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2136,axiom,
( sP895(Eq_y_0,Eq_y_1)
| ~ sP895(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2137,axiom,
( sP896(Eq_y_0,Eq_y_1)
| ~ sP896(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2138,axiom,
( sP897(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP897(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2139,axiom,
( sP898(Eq_y_0,Eq_y_1)
| ~ sP898(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2140,axiom,
( sP899(Eq_y_0)
| ~ sP899(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2141,axiom,
( sP900(Eq_y_0)
| ~ sP900(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2142,axiom,
( sP905(Eq_y_0)
| ~ sP905(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2143,axiom,
( sP907(Eq_y_0)
| ~ sP907(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2144,axiom,
( sP908(Eq_y_0)
| ~ sP908(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2145,axiom,
( sP909(Eq_y_0)
| ~ sP909(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2146,axiom,
( sP910(Eq_y_0)
| ~ sP910(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2147,axiom,
( sP911(Eq_y_0)
| ~ sP911(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2148,axiom,
( sP912(Eq_y_0)
| ~ sP912(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2149,axiom,
( sP913(Eq_y_0,Eq_y_1)
| ~ sP913(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2150,axiom,
( sP914(Eq_y_0,Eq_y_1)
| ~ sP914(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2151,axiom,
( sP915(Eq_y_0,Eq_y_1)
| ~ sP915(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2152,axiom,
( sP916(Eq_y_0,Eq_y_1)
| ~ sP916(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2153,axiom,
( sP917(Eq_y_0,Eq_y_1)
| ~ sP917(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2154,axiom,
( sP918(Eq_y_0,Eq_y_1)
| ~ sP918(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2155,axiom,
( sP919(Eq_y_0,Eq_y_1)
| ~ sP919(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2156,axiom,
( sP920(Eq_y_0,Eq_y_1)
| ~ sP920(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2157,axiom,
( sP921(Eq_y_0,Eq_y_1)
| ~ sP921(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2158,axiom,
( sP922(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP922(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2159,axiom,
( sP923(Eq_y_0,Eq_y_1)
| ~ sP923(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2160,axiom,
( sP924(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP924(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2161,axiom,
( sP925(Eq_y_0)
| ~ sP925(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2162,axiom,
( sP926(Eq_y_0,Eq_y_1)
| ~ sP926(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2163,axiom,
( sP927(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP927(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2164,axiom,
( sP928(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP928(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2165,axiom,
( sP929(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP929(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2166,axiom,
( sP930(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP930(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2167,axiom,
( sP931(Eq_y_0,Eq_y_1)
| ~ sP931(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2168,axiom,
( sP932(Eq_y_0,Eq_y_1)
| ~ sP932(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2169,axiom,
( sP933(Eq_y_0,Eq_y_1)
| ~ sP933(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2170,axiom,
( sP934(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP934(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2171,axiom,
( sP935(Eq_y_0,Eq_y_1)
| ~ sP935(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2172,axiom,
( sP936(Eq_y_0,Eq_y_1)
| ~ sP936(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2173,axiom,
( sP937(Eq_y_0)
| ~ sP937(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2174,axiom,
( sP938(Eq_y_0,Eq_y_1)
| ~ sP938(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2175,axiom,
( sP939(Eq_y_0,Eq_y_1)
| ~ sP939(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2176,axiom,
( sP940(Eq_y_0)
| ~ sP940(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2177,axiom,
( sP941(Eq_y_0,Eq_y_1)
| ~ sP941(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2178,axiom,
( sP942(Eq_y_0)
| ~ sP942(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2179,axiom,
( sP944(Eq_y_0)
| ~ sP944(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2180,axiom,
( sP945(Eq_y_0)
| ~ sP945(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2181,axiom,
( sP946(Eq_y_0)
| ~ sP946(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2182,axiom,
( sP947(Eq_y_0)
| ~ sP947(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2183,axiom,
( sP948(Eq_y_0,Eq_y_1)
| ~ sP948(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2184,axiom,
( sP949(Eq_y_0,Eq_y_1)
| ~ sP949(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2185,axiom,
( sP950(Eq_y_0,Eq_y_1)
| ~ sP950(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2186,axiom,
( sP951(Eq_y_0,Eq_y_1)
| ~ sP951(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2187,axiom,
( sP952(Eq_y_0,Eq_y_1)
| ~ sP952(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2188,axiom,
( sP953(Eq_y_0,Eq_y_1)
| ~ sP953(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2189,axiom,
( sP954(Eq_y_0)
| ~ sP954(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2190,axiom,
( sP955(Eq_y_0,Eq_y_1)
| ~ sP955(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2191,axiom,
( sP956(Eq_y_0,Eq_y_1)
| ~ sP956(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2192,axiom,
( sP957(Eq_y_0)
| ~ sP957(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2193,axiom,
( sP958(Eq_y_0,Eq_y_1)
| ~ sP958(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2194,axiom,
( sP959(Eq_y_0,Eq_y_1)
| ~ sP959(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2195,axiom,
( sP960(Eq_y_0,Eq_y_1)
| ~ sP960(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2196,axiom,
( sP961(Eq_y_0,Eq_y_1)
| ~ sP961(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2197,axiom,
( sP962(Eq_y_0,Eq_y_1)
| ~ sP962(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2198,axiom,
( sP963(Eq_y_0,Eq_y_1)
| ~ sP963(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2199,axiom,
( sP964(Eq_y_0,Eq_y_1)
| ~ sP964(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2200,axiom,
( sP965(Eq_y_0,Eq_y_1)
| ~ sP965(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2201,axiom,
( sP966(Eq_y_0)
| ~ sP966(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2202,axiom,
( sP967(Eq_y_0)
| ~ sP967(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2203,axiom,
( sP968(Eq_y_0)
| ~ sP968(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2204,axiom,
( sP969(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP969(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2205,axiom,
( sP970(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP970(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2206,axiom,
( sP971(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP971(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2207,axiom,
( sP972(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP972(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2208,axiom,
( sP973(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP973(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2209,axiom,
( sP974(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP974(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2210,axiom,
( sP975(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP975(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2211,axiom,
( sP976(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP976(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2212,axiom,
( sP977(Eq_y_0)
| ~ sP977(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2213,axiom,
( sP978(Eq_y_0,Eq_y_1)
| ~ sP978(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2214,axiom,
( sP979(Eq_y_0,Eq_y_1)
| ~ sP979(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2215,axiom,
( sP980(Eq_y_0,Eq_y_1)
| ~ sP980(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2216,axiom,
( sP981(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP981(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2217,axiom,
( sP982(Eq_y_0,Eq_y_1)
| ~ sP982(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2218,axiom,
( sP983(Eq_y_0,Eq_y_1)
| ~ sP983(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2219,axiom,
( sP984(Eq_y_0,Eq_y_1)
| ~ sP984(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2220,axiom,
( sP985(Eq_y_0,Eq_y_1)
| ~ sP985(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2221,axiom,
( sP986(Eq_y_0,Eq_y_1)
| ~ sP986(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2222,axiom,
( sP987(Eq_y_0,Eq_y_1)
| ~ sP987(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2223,axiom,
( sP988(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP988(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2224,axiom,
( sP989(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP989(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2225,axiom,
( sP990(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP990(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2226,axiom,
( sP991(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP991(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2227,axiom,
( sP992(Eq_y_0)
| ~ sP992(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2228,axiom,
( sP993(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP993(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2229,axiom,
( sP994(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP994(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2230,axiom,
( sP995(Eq_y_0,Eq_y_1)
| ~ sP995(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2231,axiom,
( sP996(Eq_y_0,Eq_y_1)
| ~ sP996(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2232,axiom,
( sP997(Eq_y_0)
| ~ sP997(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2233,axiom,
( sP998(Eq_y_0,Eq_y_1)
| ~ sP998(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2234,axiom,
( sP999(Eq_y_0)
| ~ sP999(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2235,axiom,
( sP1000(Eq_y_0,Eq_y_1)
| ~ sP1000(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2236,axiom,
( sP1001(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1001(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2237,axiom,
( sP1002(Eq_y_0,Eq_y_1)
| ~ sP1002(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2238,axiom,
( sP1003(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1003(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2239,axiom,
( sP1004(Eq_y_0)
| ~ sP1004(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2240,axiom,
( sP1005(Eq_y_0)
| ~ sP1005(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2241,axiom,
( sP1006(Eq_y_0)
| ~ sP1006(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2242,axiom,
( sP1007(Eq_y_0)
| ~ sP1007(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2243,axiom,
( sP1008(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1008(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2244,axiom,
( sP1009(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1009(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2245,axiom,
( sP1010(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1010(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2246,axiom,
( sP1011(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP1011(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2247,axiom,
( sP1012(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1012(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2248,axiom,
( sP1013(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1013(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2249,axiom,
( sP1014(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1014(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2250,axiom,
( sP1015(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9)
| ~ sP1015(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9)
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2251,axiom,
( sP1017(Eq_y_0)
| ~ sP1017(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2252,axiom,
( sP1018(Eq_y_0)
| ~ sP1018(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2253,axiom,
( sP1020(Eq_y_0)
| ~ sP1020(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2254,axiom,
( sP1021(Eq_y_0)
| ~ sP1021(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2255,axiom,
( sP1022(Eq_y_0)
| ~ sP1022(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2256,axiom,
( sP1023(Eq_y_0)
| ~ sP1023(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2257,axiom,
( sP1024(Eq_y_0,Eq_y_1)
| ~ sP1024(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2258,axiom,
( sP1025(Eq_y_0,Eq_y_1)
| ~ sP1025(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2259,axiom,
( sP1026(Eq_y_0)
| ~ sP1026(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2260,axiom,
( sP1027(Eq_y_0,Eq_y_1)
| ~ sP1027(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2261,axiom,
( sP1028(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1028(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2262,axiom,
( sP1029(Eq_y_0)
| ~ sP1029(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2263,axiom,
( sP1030(Eq_y_0)
| ~ sP1030(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2264,axiom,
( sP1031(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1031(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2265,axiom,
( sP1032(Eq_y_0,Eq_y_1)
| ~ sP1032(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2266,axiom,
( sP1033(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1033(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2267,axiom,
( sP1034(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1034(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2268,axiom,
( sP1035(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1035(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2269,axiom,
( sP1036(Eq_y_0)
| ~ sP1036(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2270,axiom,
( sP1037(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1037(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2271,axiom,
( sP1038(Eq_y_0)
| ~ sP1038(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2272,axiom,
( sP1039(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1039(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2273,axiom,
( sP1040(Eq_y_0)
| ~ sP1040(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2274,axiom,
( sP1041(Eq_y_0,Eq_y_1)
| ~ sP1041(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2275,axiom,
( sP1042(Eq_y_0,Eq_y_1)
| ~ sP1042(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2276,axiom,
( sP1043(Eq_y_0,Eq_y_1)
| ~ sP1043(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2277,axiom,
( sP1044(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1044(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2278,axiom,
( sP1045(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9,Eq_y_10)
| ~ sP1045(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9,Eq_x_10)
| Eq_x_10 != Eq_y_10
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2279,axiom,
( sP1046(Eq_y_0)
| ~ sP1046(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2280,axiom,
( sP1047(Eq_y_0)
| ~ sP1047(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2281,axiom,
( sP1048(Eq_y_0)
| ~ sP1048(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2282,axiom,
( sP1049(Eq_y_0)
| ~ sP1049(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2283,axiom,
( sP1050(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9,Eq_y_10)
| ~ sP1050(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9,Eq_x_10)
| Eq_x_10 != Eq_y_10
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2284,axiom,
( sP1051(Eq_y_0)
| ~ sP1051(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2285,axiom,
( sP1052(Eq_y_0)
| ~ sP1052(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2286,axiom,
( sP1053(Eq_y_0)
| ~ sP1053(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2287,axiom,
( sP1054(Eq_y_0,Eq_y_1)
| ~ sP1054(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2288,axiom,
( sP1055(Eq_y_0)
| ~ sP1055(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2289,axiom,
( sP1056(Eq_y_0)
| ~ sP1056(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2290,axiom,
( sP1057(Eq_y_0)
| ~ sP1057(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2291,axiom,
( sP1058(Eq_y_0)
| ~ sP1058(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2292,axiom,
( sP1059(Eq_y_0)
| ~ sP1059(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2293,axiom,
( sP1060(Eq_y_0,Eq_y_1)
| ~ sP1060(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2294,axiom,
( sP1061(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1061(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2295,axiom,
( sP1062(Eq_y_0,Eq_y_1)
| ~ sP1062(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2296,axiom,
( sP1063(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1063(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2297,axiom,
( sP1064(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1064(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2298,axiom,
( sP1065(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1065(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2299,axiom,
( sP1066(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1066(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2300,axiom,
( sP1067(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1067(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2301,axiom,
( sP1068(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1068(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2302,axiom,
( sP1069(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1069(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2303,axiom,
( sP1070(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1070(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2304,axiom,
( sP1071(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1071(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2305,axiom,
( sP1072(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1072(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2306,axiom,
( sP1073(Eq_y_0,Eq_y_1)
| ~ sP1073(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2307,axiom,
( sP1074(Eq_y_0,Eq_y_1)
| ~ sP1074(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2308,axiom,
( sP1075(Eq_y_0,Eq_y_1)
| ~ sP1075(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2309,axiom,
( sP1076(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1076(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2310,axiom,
( sP1077(Eq_y_0,Eq_y_1)
| ~ sP1077(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2311,axiom,
( sP1078(Eq_y_0)
| ~ sP1078(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2312,axiom,
( sP1079(Eq_y_0)
| ~ sP1079(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2313,axiom,
( sP1080(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1080(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2314,axiom,
( sP1081(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1081(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2315,axiom,
( sP1082(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1082(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2316,axiom,
( sP1083(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP1083(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2317,axiom,
( sP1084(Eq_y_0)
| ~ sP1084(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2318,axiom,
( sP1085(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1085(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2319,axiom,
( sP1086(Eq_y_0,Eq_y_1)
| ~ sP1086(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2320,axiom,
( sP1087(Eq_y_0,Eq_y_1)
| ~ sP1087(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2321,axiom,
( sP1088(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1088(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2322,axiom,
( sP1089(Eq_y_0,Eq_y_1)
| ~ sP1089(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2323,axiom,
( sP1090(Eq_y_0,Eq_y_1)
| ~ sP1090(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2324,axiom,
( sP1091(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1091(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2325,axiom,
( sP1092(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1092(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2326,axiom,
( sP1093(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1093(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2327,axiom,
( sP1094(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1094(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2328,axiom,
( sP1095(Eq_y_0,Eq_y_1)
| ~ sP1095(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2329,axiom,
( sP1096(Eq_y_0,Eq_y_1)
| ~ sP1096(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2330,axiom,
( sP1097(Eq_y_0,Eq_y_1)
| ~ sP1097(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2331,axiom,
( sP1098(Eq_y_0,Eq_y_1)
| ~ sP1098(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2332,axiom,
( sP1099(Eq_y_0,Eq_y_1)
| ~ sP1099(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2333,axiom,
( sP1100(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1100(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2334,axiom,
( sP1101(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1101(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2335,axiom,
( sP1102(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1102(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2336,axiom,
( sP1103(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1103(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2337,axiom,
( sP1104(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1104(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2338,axiom,
( sP1105(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1105(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2339,axiom,
( sP1106(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1106(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2340,axiom,
( sP1107(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1107(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2341,axiom,
( sP1108(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1108(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2342,axiom,
( sP1109(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1109(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2343,axiom,
( sP1110(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1110(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2344,axiom,
( sP1111(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1111(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2345,axiom,
( sP1112(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1112(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2346,axiom,
( sP1113(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1113(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2347,axiom,
( sP1114(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1114(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2348,axiom,
( sP1115(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1115(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2349,axiom,
( sP1116(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1116(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2350,axiom,
( sP1117(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1117(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2351,axiom,
( sP1118(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1118(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2352,axiom,
( sP1119(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1119(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2353,axiom,
( sP1120(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1120(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2354,axiom,
( sP1121(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1121(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2355,axiom,
( sP1122(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1122(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2356,axiom,
( sP1123(Eq_y_0,Eq_y_1)
| ~ sP1123(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2357,axiom,
( sP1124(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1124(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2358,axiom,
( sP1125(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1125(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2359,axiom,
( sP1126(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1126(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2360,axiom,
( sP1127(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1127(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2361,axiom,
( sP1128(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1128(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2362,axiom,
( sP1129(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1129(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2363,axiom,
( sP1130(Eq_y_0)
| ~ sP1130(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2364,axiom,
( sP1131(Eq_y_0)
| ~ sP1131(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2365,axiom,
( sP1132(Eq_y_0)
| ~ sP1132(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2366,axiom,
( sP1133(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1133(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2367,axiom,
( sP1134(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1134(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2368,axiom,
( sP1135(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1135(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2369,axiom,
( sP1136(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1136(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2370,axiom,
( sP1137(Eq_y_0,Eq_y_1)
| ~ sP1137(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2371,axiom,
( sP1138(Eq_y_0)
| ~ sP1138(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2372,axiom,
( sP1139(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1139(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2373,axiom,
( sP1140(Eq_y_0,Eq_y_1)
| ~ sP1140(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2374,axiom,
( sP1141(Eq_y_0,Eq_y_1)
| ~ sP1141(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2375,axiom,
( sP1142(Eq_y_0,Eq_y_1)
| ~ sP1142(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2376,axiom,
( sP1143(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1143(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2377,axiom,
( sP1144(Eq_y_0,Eq_y_1)
| ~ sP1144(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2378,axiom,
( sP1145(Eq_y_0,Eq_y_1)
| ~ sP1145(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2379,axiom,
( sP1146(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1146(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2380,axiom,
( sP1147(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1147(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2381,axiom,
( sP1148(Eq_y_0)
| ~ sP1148(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2382,axiom,
( sP1149(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1149(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2383,axiom,
( sP1150(Eq_y_0)
| ~ sP1150(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2384,axiom,
( sP1151(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1151(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2385,axiom,
( sP1152(Eq_y_0)
| ~ sP1152(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2386,axiom,
( sP1153(Eq_y_0)
| ~ sP1153(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2387,axiom,
( sP1154(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1154(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2388,axiom,
( sP1155(Eq_y_0)
| ~ sP1155(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2389,axiom,
( sP1156(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1156(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2390,axiom,
( sP1157(Eq_y_0,Eq_y_1)
| ~ sP1157(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2391,axiom,
( sP1158(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1158(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2392,axiom,
( sP1159(Eq_y_0,Eq_y_1)
| ~ sP1159(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2393,axiom,
( sP1160(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1160(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2394,axiom,
( sP1161(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1161(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2395,axiom,
( sP1162(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1162(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2396,axiom,
( sP1163(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1163(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2397,axiom,
( sP1164(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1164(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2398,axiom,
( sP1165(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1165(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2399,axiom,
( sP1166(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1166(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2400,axiom,
( sP1167(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1167(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2401,axiom,
( sP1168(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1168(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2402,axiom,
( sP1169(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1169(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2403,axiom,
( sP1170(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1170(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2404,axiom,
( sP1171(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1171(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2405,axiom,
( sP1172(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1172(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2406,axiom,
( sP1173(Eq_y_0,Eq_y_1)
| ~ sP1173(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2407,axiom,
( sP1174(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1174(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2408,axiom,
( sP1175(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1175(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2409,axiom,
( sP1176(Eq_y_0,Eq_y_1)
| ~ sP1176(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2410,axiom,
( sP1177(Eq_y_0,Eq_y_1)
| ~ sP1177(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2411,axiom,
( sP1178(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1178(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2412,axiom,
( sP1179(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1179(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2413,axiom,
( sP1180(Eq_y_0,Eq_y_1)
| ~ sP1180(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2414,axiom,
( sP1181(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1181(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2415,axiom,
( sP1182(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1182(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2416,axiom,
( sP1183(Eq_y_0,Eq_y_1)
| ~ sP1183(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2417,axiom,
( sP1184(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1184(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2418,axiom,
( sP1185(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1185(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2419,axiom,
( sP1186(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1186(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2420,axiom,
( sP1187(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1187(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2421,axiom,
( sP1188(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1188(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2422,axiom,
( sP1189(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1189(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2423,axiom,
( sP1190(Eq_y_0)
| ~ sP1190(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2424,axiom,
( sP1191(Eq_y_0,Eq_y_1)
| ~ sP1191(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2425,axiom,
( sP1192(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1192(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2426,axiom,
( sP1193(Eq_y_0)
| ~ sP1193(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2427,axiom,
( sP1194(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1194(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2428,axiom,
( sP1195(Eq_y_0)
| ~ sP1195(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2429,axiom,
( sP1196(Eq_y_0)
| ~ sP1196(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2430,axiom,
( sP1197(Eq_y_0)
| ~ sP1197(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2431,axiom,
( sP1198(Eq_y_0)
| ~ sP1198(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2432,axiom,
( sP1199(Eq_y_0,Eq_y_1)
| ~ sP1199(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2433,axiom,
( sP1200(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1200(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2434,axiom,
( sP1201(Eq_y_0)
| ~ sP1201(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2435,axiom,
( sP1202(Eq_y_0)
| ~ sP1202(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2436,axiom,
( sP1203(Eq_y_0)
| ~ sP1203(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2437,axiom,
( sP1204(Eq_y_0)
| ~ sP1204(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2438,axiom,
( sP1205(Eq_y_0)
| ~ sP1205(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2439,axiom,
( sP1206(Eq_y_0)
| ~ sP1206(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2440,axiom,
( sP1207(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1207(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2441,axiom,
( sP1208(Eq_y_0)
| ~ sP1208(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2442,axiom,
( sP1209(Eq_y_0)
| ~ sP1209(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2443,axiom,
( sP1210(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1210(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2444,axiom,
( sP1211(Eq_y_0,Eq_y_1)
| ~ sP1211(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2445,axiom,
( sP1212(Eq_y_0)
| ~ sP1212(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2446,axiom,
( sP1213(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1213(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2447,axiom,
( sP1214(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1214(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2448,axiom,
( sP1215(Eq_y_0)
| ~ sP1215(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2449,axiom,
( sP1216(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1216(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2450,axiom,
( sP1217(Eq_y_0)
| ~ sP1217(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2451,axiom,
( sP1218(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1218(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2452,axiom,
( sP1219(Eq_y_0)
| ~ sP1219(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2453,axiom,
( sP1220(Eq_y_0,Eq_y_1)
| ~ sP1220(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2454,axiom,
( sP1221(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1221(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2455,axiom,
( sP1222(Eq_y_0)
| ~ sP1222(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2456,axiom,
( sP1223(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1223(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2457,axiom,
( sP1224(Eq_y_0)
| ~ sP1224(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2458,axiom,
( sP1225(Eq_y_0,Eq_y_1)
| ~ sP1225(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2459,axiom,
( sP1226(Eq_y_0,Eq_y_1)
| ~ sP1226(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2460,axiom,
( sP1227(Eq_y_0,Eq_y_1)
| ~ sP1227(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2461,axiom,
( sP1228(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1228(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2462,axiom,
( sP1229(Eq_y_0)
| ~ sP1229(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2463,axiom,
( sP1230(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1230(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2464,axiom,
( sP1231(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1231(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2465,axiom,
( sP1232(Eq_y_0,Eq_y_1)
| ~ sP1232(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2466,axiom,
( sP1233(Eq_y_0,Eq_y_1)
| ~ sP1233(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2467,axiom,
( sP1234(Eq_y_0)
| ~ sP1234(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2468,axiom,
( sP1235(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1235(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2469,axiom,
( sP1236(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1236(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2470,axiom,
( sP1237(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1237(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2471,axiom,
( sP1238(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1238(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2472,axiom,
( sP1239(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1239(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2473,axiom,
( sP1240(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1240(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2474,axiom,
( sP1241(Eq_y_0,Eq_y_1)
| ~ sP1241(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2475,axiom,
( sP1242(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1242(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2476,axiom,
( sP1243(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1243(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2477,axiom,
( sP1244(Eq_y_0,Eq_y_1)
| ~ sP1244(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2478,axiom,
( sP1245(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1245(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2479,axiom,
( sP1246(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1246(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2480,axiom,
( sP1247(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1247(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2481,axiom,
( sP1248(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1248(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2482,axiom,
( sP1249(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1249(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2483,axiom,
( sP1250(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1250(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2484,axiom,
( sP1251(Eq_y_0,Eq_y_1)
| ~ sP1251(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2485,axiom,
( sP1252(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1252(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2486,axiom,
( sP1253(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1253(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2487,axiom,
( sP1254(Eq_y_0,Eq_y_1)
| ~ sP1254(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2488,axiom,
( sP1255(Eq_y_0)
| ~ sP1255(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2489,axiom,
( sP1256(Eq_y_0,Eq_y_1)
| ~ sP1256(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2490,axiom,
( sP1257(Eq_y_0)
| ~ sP1257(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2491,axiom,
( sP1258(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1258(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2492,axiom,
( sP1259(Eq_y_0)
| ~ sP1259(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2493,axiom,
( sP1260(Eq_y_0)
| ~ sP1260(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2494,axiom,
( sP1261(Eq_y_0)
| ~ sP1261(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2495,axiom,
( sP1262(Eq_y_0)
| ~ sP1262(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2496,axiom,
( sP1263(Eq_y_0,Eq_y_1)
| ~ sP1263(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2497,axiom,
( sP1264(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1264(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2498,axiom,
( sP1265(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1265(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2499,axiom,
( sP1266(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1266(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2500,axiom,
( sP1267(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP1267(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2501,axiom,
( sP1268(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1268(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2502,axiom,
( sP1269(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9)
| ~ sP1269(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9)
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2503,axiom,
( sP1270(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1270(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2504,axiom,
( sP1271(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9)
| ~ sP1271(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9)
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2505,axiom,
( sP1272(Eq_y_0)
| ~ sP1272(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2506,axiom,
( sP1273(Eq_y_0)
| ~ sP1273(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2507,axiom,
( sP1274(Eq_y_0)
| ~ sP1274(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2508,axiom,
( sP1275(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1275(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2509,axiom,
( sP1276(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1276(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2510,axiom,
( sP1277(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1277(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2511,axiom,
( sP1278(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1278(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2512,axiom,
( sP1279(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1279(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2513,axiom,
( sP1280(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1280(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2514,axiom,
( sP1281(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1281(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2515,axiom,
( sP1282(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1282(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2516,axiom,
( sP1283(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1283(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2517,axiom,
( sP1284(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1284(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2518,axiom,
( sP1285(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1285(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2519,axiom,
( sP1286(Eq_y_0,Eq_y_1)
| ~ sP1286(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2520,axiom,
( sP1287(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1287(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2521,axiom,
( sP1288(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1288(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2522,axiom,
( sP1289(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1289(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2523,axiom,
( sP1290(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1290(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2524,axiom,
( sP1291(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1291(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2525,axiom,
( sP1292(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1292(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2526,axiom,
( sP1293(Eq_y_0,Eq_y_1)
| ~ sP1293(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2527,axiom,
( sP1294(Eq_y_0,Eq_y_1)
| ~ sP1294(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2528,axiom,
( sP1295(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1295(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2529,axiom,
( sP1296(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1296(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2530,axiom,
( sP1297(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1297(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2531,axiom,
( sP1298(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1298(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2532,axiom,
( sP1299(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1299(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2533,axiom,
( sP1300(Eq_y_0,Eq_y_1)
| ~ sP1300(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2534,axiom,
( sP1301(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1301(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2535,axiom,
( sP1302(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1302(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2536,axiom,
( sP1303(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1303(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2537,axiom,
( sP1304(Eq_y_0,Eq_y_1)
| ~ sP1304(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2538,axiom,
( sP1305(Eq_y_0,Eq_y_1)
| ~ sP1305(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2539,axiom,
( sP1306(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1306(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2540,axiom,
( sP1307(Eq_y_0,Eq_y_1)
| ~ sP1307(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2541,axiom,
( sP1308(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1308(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2542,axiom,
( sP1309(Eq_y_0,Eq_y_1)
| ~ sP1309(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2543,axiom,
( sP1310(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1310(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2544,axiom,
( sP1311(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1311(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2545,axiom,
( sP1312(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1312(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2546,axiom,
( sP1313(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1313(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2547,axiom,
( sP1314(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1314(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2548,axiom,
( sP1315(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1315(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2549,axiom,
( sP1316(Eq_y_0,Eq_y_1)
| ~ sP1316(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2550,axiom,
( sP1317(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1317(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2551,axiom,
( sP1318(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1318(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2552,axiom,
( sP1319(Eq_y_0,Eq_y_1)
| ~ sP1319(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2553,axiom,
( sP1320(Eq_y_0)
| ~ sP1320(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2554,axiom,
( sP1321(Eq_y_0)
| ~ sP1321(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2555,axiom,
( sP1322(Eq_y_0)
| ~ sP1322(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2556,axiom,
( sP1323(Eq_y_0,Eq_y_1)
| ~ sP1323(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2557,axiom,
( sP1324(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1324(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2558,axiom,
( sP1325(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1325(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2559,axiom,
( sP1326(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1326(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2560,axiom,
( sP1327(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1327(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2561,axiom,
( sP1328(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1328(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2562,axiom,
( sP1329(Eq_y_0)
| ~ sP1329(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2563,axiom,
( sP1330(Eq_y_0)
| ~ sP1330(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2564,axiom,
( sP1331(Eq_y_0)
| ~ sP1331(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2565,axiom,
( sP1332(Eq_y_0)
| ~ sP1332(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2566,axiom,
( sP1333(Eq_y_0)
| ~ sP1333(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2567,axiom,
( sP1334(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1334(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2568,axiom,
( sP1335(Eq_y_0,Eq_y_1)
| ~ sP1335(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2569,axiom,
( sP1336(Eq_y_0,Eq_y_1)
| ~ sP1336(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2570,axiom,
( sP1337(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1337(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2571,axiom,
( sP1338(Eq_y_0)
| ~ sP1338(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2572,axiom,
( sP1339(Eq_y_0)
| ~ sP1339(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2573,axiom,
( sP1340(Eq_y_0,Eq_y_1)
| ~ sP1340(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2574,axiom,
( sP1341(Eq_y_0)
| ~ sP1341(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2575,axiom,
( sP1342(Eq_y_0)
| ~ sP1342(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2576,axiom,
( sP1343(Eq_y_0)
| ~ sP1343(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2577,axiom,
( sP1344(Eq_y_0)
| ~ sP1344(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2578,axiom,
( sP1345(Eq_y_0,Eq_y_1)
| ~ sP1345(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2579,axiom,
( sP1346(Eq_y_0,Eq_y_1)
| ~ sP1346(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2580,axiom,
( sP1347(Eq_y_0,Eq_y_1)
| ~ sP1347(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2581,axiom,
( sP1348(Eq_y_0)
| ~ sP1348(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2582,axiom,
( sP1349(Eq_y_0,Eq_y_1)
| ~ sP1349(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2583,axiom,
( sP1350(Eq_y_0)
| ~ sP1350(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2584,axiom,
( sP1351(Eq_y_0)
| ~ sP1351(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2585,axiom,
( sP1352(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1352(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2586,axiom,
( sP1353(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1353(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2587,axiom,
( sP1354(Eq_y_0)
| ~ sP1354(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2588,axiom,
( sP1355(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1355(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2589,axiom,
( sP1356(Eq_y_0)
| ~ sP1356(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2590,axiom,
( sP1357(Eq_y_0,Eq_y_1)
| ~ sP1357(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2591,axiom,
( sP1358(Eq_y_0,Eq_y_1)
| ~ sP1358(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2592,axiom,
( sP1359(Eq_y_0)
| ~ sP1359(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2593,axiom,
( sP1360(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1360(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2594,axiom,
( sP1361(Eq_y_0,Eq_y_1)
| ~ sP1361(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2595,axiom,
( sP1362(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1362(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2596,axiom,
( sP1363(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1363(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2597,axiom,
( sP1364(Eq_y_0,Eq_y_1)
| ~ sP1364(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2598,axiom,
( sP1365(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1365(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2599,axiom,
( sP1366(Eq_y_0,Eq_y_1)
| ~ sP1366(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2600,axiom,
( sP1367(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1367(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2601,axiom,
( sP1368(Eq_y_0,Eq_y_1)
| ~ sP1368(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2602,axiom,
( sP1369(Eq_y_0,Eq_y_1)
| ~ sP1369(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2603,axiom,
( sP1370(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1370(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2604,axiom,
( sP1371(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1371(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2605,axiom,
( sP1372(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1372(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2606,axiom,
( sP1373(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1373(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2607,axiom,
( sP1374(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1374(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2608,axiom,
( sP1375(Eq_y_0,Eq_y_1)
| ~ sP1375(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2609,axiom,
( sP1376(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1376(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2610,axiom,
( sP1377(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1377(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2611,axiom,
( sP1378(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1378(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2612,axiom,
( sP1379(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1379(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2613,axiom,
( sP1380(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1380(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2614,axiom,
( sP1381(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP1381(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2615,axiom,
( sP1382(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP1382(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2616,axiom,
( sP1383(Eq_y_0,Eq_y_1)
| ~ sP1383(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2617,axiom,
( sP1384(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1384(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2618,axiom,
( sP1385(Eq_y_0)
| ~ sP1385(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2619,axiom,
( sP1386(Eq_y_0)
| ~ sP1386(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2620,axiom,
( sP1387(Eq_y_0)
| ~ sP1387(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2621,axiom,
( sP1388(Eq_y_0,Eq_y_1)
| ~ sP1388(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2622,axiom,
( sP1389(Eq_y_0,Eq_y_1)
| ~ sP1389(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2623,axiom,
( sP1390(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1390(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2624,axiom,
( sP1391(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9)
| ~ sP1391(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9)
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2625,axiom,
( sP1392(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1392(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2626,axiom,
( sP1393(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9,Eq_y_10,Eq_y_11,Eq_y_12,Eq_y_13)
| ~ sP1393(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9,Eq_x_10,Eq_x_11,Eq_x_12,Eq_x_13)
| Eq_x_13 != Eq_y_13
| Eq_x_12 != Eq_y_12
| Eq_x_11 != Eq_y_11
| Eq_x_10 != Eq_y_10
| Eq_x_9 != Eq_y_9
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2627,axiom,
( sP1394(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1394(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2628,axiom,
( sP1395(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1395(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2629,axiom,
( sP1396(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1396(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2630,axiom,
( sP1397(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1397(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2631,axiom,
( sP1398(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1398(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2632,axiom,
( sP1399(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1399(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2633,axiom,
( sP1400(Eq_y_0,Eq_y_1)
| ~ sP1400(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2634,axiom,
( sP1401(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1401(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2635,axiom,
( sP1402(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1402(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2636,axiom,
( sP1403(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1403(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2637,axiom,
( sP1404(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1404(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2638,axiom,
( sP1405(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1405(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2639,axiom,
( sP1406(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1406(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2640,axiom,
( sP1407(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1407(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2641,axiom,
( sP1408(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1408(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2642,axiom,
( sP1409(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1409(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2643,axiom,
( sP1410(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1410(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2644,axiom,
( sP1411(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1411(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2645,axiom,
( sP1412(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1412(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2646,axiom,
( sP1413(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1413(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2647,axiom,
( sP1414(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1414(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2648,axiom,
( sP1415(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1415(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2649,axiom,
( sP1416(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1416(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2650,axiom,
( sP1417(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1417(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2651,axiom,
( sP1418(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1418(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2652,axiom,
( sP1419(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1419(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2653,axiom,
( sP1420(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1420(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2654,axiom,
( sP1421(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1421(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2655,axiom,
( sP1422(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1422(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2656,axiom,
( sP1423(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1423(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2657,axiom,
( sP1424(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1424(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2658,axiom,
( sP1425(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1425(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2659,axiom,
( sP1426(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1426(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2660,axiom,
( sP1427(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1427(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2661,axiom,
( sP1428(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1428(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2662,axiom,
( sP1429(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1429(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2663,axiom,
( sP1430(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1430(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2664,axiom,
( sP1431(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1431(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2665,axiom,
( sP1432(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1432(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2666,axiom,
( sP1433(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1433(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2667,axiom,
( sP1434(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1434(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2668,axiom,
( sP1435(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1435(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2669,axiom,
( sP1436(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1436(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2670,axiom,
( sP1437(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1437(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2671,axiom,
( sP1438(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1438(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2672,axiom,
( sP1439(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1439(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2673,axiom,
( sP1440(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1440(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2674,axiom,
( sP1441(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1441(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2675,axiom,
( sP1442(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1442(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2676,axiom,
( sP1443(Eq_y_0,Eq_y_1)
| ~ sP1443(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2677,axiom,
( sP1444(Eq_y_0,Eq_y_1)
| ~ sP1444(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2678,axiom,
( sP1445(Eq_y_0,Eq_y_1)
| ~ sP1445(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2679,axiom,
( sP1446(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1446(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2680,axiom,
( sP1447(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1447(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2681,axiom,
( sP1448(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1448(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2682,axiom,
( sP1449(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1449(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2683,axiom,
( sP1450(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1450(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2684,axiom,
( sP1451(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1451(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2685,axiom,
( sP1452(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP1452(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2686,axiom,
( sP1453(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1453(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2687,axiom,
( sP1454(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1454(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2688,axiom,
( sP1455(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1455(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2689,axiom,
( sP1456(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1456(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2690,axiom,
( sP1457(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1457(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2691,axiom,
( sP1458(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1458(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2692,axiom,
( sP1459(Eq_y_0,Eq_y_1)
| ~ sP1459(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2693,axiom,
( sP1460(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1460(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2694,axiom,
( sP1461(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1461(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2695,axiom,
( sP1462(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1462(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2696,axiom,
( sP1463(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1463(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2697,axiom,
( sP1464(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1464(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2698,axiom,
( sP1465(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1465(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2699,axiom,
( sP1466(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1466(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2700,axiom,
( sP1467(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1467(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2701,axiom,
( sP1468(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1468(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2702,axiom,
( sP1469(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1469(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2703,axiom,
( sP1470(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1470(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2704,axiom,
( sP1471(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1471(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2705,axiom,
( sP1472(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1472(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2706,axiom,
( sP1473(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ sP1473(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2707,axiom,
( sP1474(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1474(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2708,axiom,
( sP1475(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1475(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2709,axiom,
( sP1476(Eq_y_0,Eq_y_1)
| ~ sP1476(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2710,axiom,
( sP1477(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1477(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2711,axiom,
( sP1478(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1478(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2712,axiom,
( sP1479(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1479(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2713,axiom,
( sP1480(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1480(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2714,axiom,
( sP1481(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1481(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2715,axiom,
( sP1482(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1482(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2716,axiom,
( sP1483(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1483(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2717,axiom,
( sP1484(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1484(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2718,axiom,
( sP1485(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1485(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2719,axiom,
( sP1486(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1486(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2720,axiom,
( sP1487(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1487(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2721,axiom,
( sP1488(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1488(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2722,axiom,
( sP1489(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1489(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2723,axiom,
( sP1490(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1490(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2724,axiom,
( sP1491(Eq_y_0,Eq_y_1)
| ~ sP1491(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2725,axiom,
( sP1492(Eq_y_0,Eq_y_1)
| ~ sP1492(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2726,axiom,
( sP1493(Eq_y_0,Eq_y_1)
| ~ sP1493(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2727,axiom,
( sP1494(Eq_y_0,Eq_y_1)
| ~ sP1494(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2728,axiom,
( sP1495(Eq_y_0,Eq_y_1)
| ~ sP1495(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2729,axiom,
( sP1496(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1496(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2730,axiom,
( sP1497(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1497(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2731,axiom,
( sP1498(Eq_y_0,Eq_y_1)
| ~ sP1498(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2732,axiom,
( sP1499(Eq_y_0,Eq_y_1)
| ~ sP1499(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2733,axiom,
( sP1500(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1500(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2734,axiom,
( sP1501(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1501(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2735,axiom,
( sP1502(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP1502(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2736,axiom,
( sP1503(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1503(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2737,axiom,
( sP1504(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1504(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2738,axiom,
( sP1505(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1505(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2739,axiom,
( sP1506(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1506(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2740,axiom,
( sP1507(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1507(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2741,axiom,
( sP1508(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1508(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2742,axiom,
( sP1509(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1509(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2743,axiom,
( sP1510(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1510(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2744,axiom,
( sP1511(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1511(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2745,axiom,
( sP1512(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1512(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2746,axiom,
( sP1513(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1513(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2747,axiom,
( sP1514(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1514(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2748,axiom,
( sP1515(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1515(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2749,axiom,
( sP1516(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1516(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2750,axiom,
( sP1517(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1517(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2751,axiom,
( sP1518(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1518(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2752,axiom,
( sP1519(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1519(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2753,axiom,
( sP1520(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1520(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2754,axiom,
( sP1521(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1521(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2755,axiom,
( sP1522(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1522(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2756,axiom,
( sP1523(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1523(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2757,axiom,
( sP1524(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1524(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2758,axiom,
( sP1525(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1525(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2759,axiom,
( sP1526(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1526(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2760,axiom,
( sP1527(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1527(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2761,axiom,
( sP1528(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP1528(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2762,axiom,
( sP1529(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1529(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2763,axiom,
( sP1530(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1530(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2764,axiom,
( sP1531(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1531(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2765,axiom,
( sP1532(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1532(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2766,axiom,
( sP1533(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1533(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2767,axiom,
( sP1534(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1534(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2768,axiom,
( sP1535(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1535(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2769,axiom,
( sP1536(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1536(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2770,axiom,
( sP1537(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1537(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2771,axiom,
( sP1538(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1538(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2772,axiom,
( sP1539(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1539(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_2773,axiom,
( sP1540(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP1540(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG219+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 09:59:58 UTC 2026
% 0.16/0.44 % CPUTime :
% 199.64/200.10 % SZS status Theorem for theBenchmark
% 199.64/200.10 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------